625 lines
395 KiB
Plaintext
625 lines
395 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "5ece52ab-b4d0-4408-8065-17ac6098b85e",
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"metadata": {},
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"source": [
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"# Vienasluoksniai tinklai\n",
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"\n",
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"Mašininio mokymosi ir giliojo mokymosi srityse dažnai susiduriama su dviejų rūšių problemomis - regresija ir klasifikacija. Regresijos uždaviniuose prognozuojate funkcijos reikšmes, o klasifikavimo uždaviniuose prognozuojate skirtingas objektų klases."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "89d78f8a-6bd6-4e33-99a4-09ed5a6a524a",
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "7522d8d6-5394-4e91-b175-09ce1bed015e",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"n_samples = 1000\n",
|
||
"\n",
|
||
"X0 = np.random.normal(loc=[-1,4], scale=[1,0.5], size=(int(n_samples/2), 2))\n",
|
||
"X1 = np.random.normal(loc=[2,4], scale=[0.5,2], size=(int(n_samples/2), 2))\n",
|
||
"y0 = np.zeros((int(n_samples/2),1))\n",
|
||
"y1 = np.ones((int(n_samples/2),1))\n",
|
||
"X = np.vstack([X0, X1])\n",
|
||
"yhat = np.vstack([y0, y1])\n",
|
||
"\n",
|
||
"X = np.array([[0,0],[0,1],[1,0],[1,1]])\n",
|
||
"yhat = np.array([[0],[1],[1],[1]])\n",
|
||
"\n",
|
||
"plt.scatter(*X[yhat[:,0]==0].T, label='0', alpha=0.4); \n",
|
||
"plt.scatter(*X[yhat[:,0]==1].T, label='1', alpha=0.4);\n",
|
||
"plt.legend();"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "bd43d0a2-39c0-4829-8bbb-e130e5be224a",
|
||
"metadata": {},
|
||
"source": [
|
||
"Naudosime sigmoidinę aktyvacijos funkciją:\n",
|
||
"\n",
|
||
"$$ f(z) = \\frac{1}{1+e^{-z}} $$\n",
|
||
"\n",
|
||
"$$ \\frac{\\mathrm{d}f}{\\mathrm{d}z} = f(z) \\cdot (1-f(z)) $$"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 3,
|
||
"id": "93cb4f7c-c9e4-407d-9af0-29b2fc3473e0",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def f(z):\n",
|
||
" return 1 / (1 + np.exp(-z))\n",
|
||
"\n",
|
||
"def dfdz(z):\n",
|
||
" return f(z) * (1 - f(z))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 4,
|
||
"id": "0dafd9a9-c75b-4509-be46-bd8ef36991bd",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"z = np.linspace(-5,5)\n",
|
||
"plt.plot(z, f(z), label='$f(z)$'); \n",
|
||
"plt.plot(z, dfdz(z), label='$df\\, /\\,dz$'); \n",
|
||
"plt.legend();\n",
|
||
"plt.title('Sigmoidinė funkcija');"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "33ff2ff9-34d4-4223-8c5c-525fe998a325",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Tinklo struktūra\n",
|
||
"\n",
|
||
"Neuronas susijęs su įvesties duomenų masyvu $x_i$ per svorio vektorių $w_i$. Atliekame skaliarinę $w$ ir $x$ sandaugą ir pritaikius šiam skaičiui aktyvacijos funkciją $f$, gauname neurono išvestį $y$:\n",
|
||
"\n",
|
||
"$$ \\mathrm{output} = f(w \\cdot x + b) \\equiv f(z) $$\n",
|
||
"čia apibrėžiame, kad $z = w\\cdot x$+b.\n",
|
||
"\n",
|
||
"Jei turime daug sluoksnių, ši išvestis perduodama kaip įvestis kitam neuronų sluoksniui. Šiame pavyzdyje naudosime sigmoidinę funkciją. \n",
|
||
"\n",
|
||
"Mūsų neuroninis tinklas turės tik vieną išvestį - $y$. Išvesties reikšmė yra tarp 0 ir 1, nes tai yra sigmoidinės funkcijos rezultatas. Tikrosios reikšmės bus žymimos $\\hat y$.\n",
|
||
"\n",
|
||
"* Išvestis: $y$, $0<y<1$\n",
|
||
"* Tikroji reikšmė: $\\hat y$ (1 arba 0)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "1324728f-bb43-4440-9d4a-9f5e887f8617",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Nuostolių funkcija\n",
|
||
"\n",
|
||
"Neuroninio tinklo apmokymo metu minimizuosime kryžminės entropijos nuostolių funkciją:\n",
|
||
"\n",
|
||
"$$ J(y, \\hat y) = −(\\hat y\\log(y) + (1−\\hat y)\\log(1−y)) $$\n",
|
||
"\n",
|
||
"$$ \\frac{\\partial J}{\\partial y} = \\frac{1-\\hat y}{1-y} -\\frac{\\hat y}{y} $$\n",
|
||
"\n",
|
||
"Atkreipkite dėmesį į tai, kad čia skaičiuojamas neuroninio tinklo išvesties logaritmas bei dalyba iš jo. Tikėtina, kad ši reikšmė bus lygi arba artimos 0 arba 1 reikšmėms. Jei priartėsime prie dalybos iš 0 arba logaritmo iš 0, mūsų algoritme gali atsirasti skaitiniai nestabilumai. Dėl šios priežasties, pridedame nedidelę konstantą `eps`."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 5,
|
||
"id": "6b25b250-30e7-4578-b34b-4f742fa9283a",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def J(y, yhat):\n",
|
||
" eps = 1e-8\n",
|
||
" return -(yhat * np.log(y+eps) + (1-yhat) * np.log(1-y+eps))\n",
|
||
"\n",
|
||
"def dJdy(y, yhat):\n",
|
||
" eps = 1e-8\n",
|
||
" return (1-yhat)/(1-y+eps) - yhat/(y+eps)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"id": "b7267bb7-edf5-4f22-b2c2-29a49727dfab",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"y = np.linspace(0.0001,0.9999)\n",
|
||
"plt.plot(y, J(y,0), label='$J(y,0)$'); \n",
|
||
"plt.plot(y, J(y,1), label='$J(y,1)$'); \n",
|
||
"plt.legend();\n",
|
||
"plt.title('Kryžminės entropijos nuostolių funkcija');"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "695e3638-82b0-422c-9f2e-cedc21c72ca2",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Prognozavimas\n",
|
||
"\n",
|
||
"* Įvestis $x_i$ ($i=0,...,n$)\n",
|
||
"* Svoriai $w_{i}$ ($i=0,...,n$) ir $b$\n",
|
||
"* Išvestis $y$\n",
|
||
"\n",
|
||
"$$y = f\\left(\\sum_i w_i x_i + b\\right) = f(w \\cdot x + b)$$\n",
|
||
"\n",
|
||
"Išvesties skaičiavimas atliekant prognozę pagal įėjimų ir svorių rinkinį vadinamas tiesioginės sklaidos perdavimu."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1259,
|
||
"id": "70663f08-a53e-4491-bb2e-7d72c27f110a",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def forward(x, w, b):\n",
|
||
" return f(np.matmul(x,w)+b)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "09da4f79-fda5-4dff-a68b-8a2b9d1386ae",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Tinklo apmokymas\n",
|
||
"\n",
|
||
"Norėdami išsiaiškinti, kokie turėtų būti svoriai, juos atnaujinsime stochastinio gradientinio nusileidimo metodu (po vieną žingsnį kiekvienam duomenų rinkinio elementui) naudodami kryžminės entropijos nuostolių funkciją. Šiuo atveju, reikia judėti priešinga gradiento kryptimi žemyn kiekvieno svorio $w_i$ ir $b$ kryptimis, darydami $\\alpha$ dydžio žingsnius. Atnaujinimo taisyklė atrodo taip:\n",
|
||
"\n",
|
||
"$$ w_i \\rightarrow w_i - \\alpha \\frac{\\partial J}{\\partial w_i}$$\n",
|
||
"\n",
|
||
"\\begin{align*}\n",
|
||
"\\frac{\\partial J}{\\partial w_i} &= \\frac{\\partial J(y, \\hat y)}{\\partial y} \\frac{\\partial y(z)}{\\partial w_i}\\\\\n",
|
||
" &= \\frac{\\partial J(y, \\hat y)}{\\partial y} \\frac{\\partial y(z)}{\\partial z} \\frac{ \\partial z(w,x)}{\\partial w_i} \n",
|
||
"\\end{align*}\n",
|
||
"\n",
|
||
"\n",
|
||
"Kadangi $z = \\sum x_i w_i+b$, gauname $\\partial z / \\partial w_i = x_i$. Taip pat, $y(z) = f(z)$. Gauname:\n",
|
||
"\n",
|
||
"\n",
|
||
"\\begin{align*}\n",
|
||
"\\frac{\\partial J}{\\partial w_i} &= \\left[\\frac{1-\\hat y}{1-y(z)} - \\frac{\\hat y}{y(z)} \\right]\\left[ y(z)(1-y(z)) \\right]\\left[ x_i \\right]\\\\\n",
|
||
"&= \\left(y(1-\\hat y) - \\hat y(1-y) \\right)x_i\n",
|
||
"\\end{align*}\n",
|
||
"\n",
|
||
"Tuomet atnaujinimo taisyklė:\n",
|
||
"\n",
|
||
"$$ w_i \\rightarrow w_i - \\alpha \\left(y(1-\\hat y) - \\hat y(1-y) \\right)x_i $$"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1260,
|
||
"id": "e4f730e8-2356-47ea-a2ad-cae537caa184",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"## Option one: use the given derivatives (clearer)\n",
|
||
"def backward1(x, w, b, y, yhat, alpha):\n",
|
||
" z = np.dot(x, w)\n",
|
||
" delta = dJdy(y, yhat) * dfdz(z) \n",
|
||
" \n",
|
||
" dw = np.reshape(delta*x, (2, -1))\n",
|
||
" db = delta\n",
|
||
" \n",
|
||
" w -= alpha*dw\n",
|
||
" b -= alpha*db\n",
|
||
" \n",
|
||
" return w, b\n",
|
||
"\n",
|
||
"## Option two: use the explicit calculted form (faster)\n",
|
||
"def backward2(x, w, b, y, yhat, alpha): # w not needed for this form\n",
|
||
" delta = ( y*(1-yhat) - yhat*(1-y) ) \n",
|
||
" \n",
|
||
" dw = np.reshape(delta*x, (2, -1))\n",
|
||
" db = delta\n",
|
||
" \n",
|
||
" w -= alpha*dw\n",
|
||
" b -= alpha*db\n",
|
||
" \n",
|
||
" return w, b\n",
|
||
"\n",
|
||
"def backward3(X, w, b, y, yhat, alpha): # w not needed for this form\n",
|
||
" delta = ( y*(1-yhat) - yhat*(1-y) ) \n",
|
||
"\n",
|
||
" dw = np.reshape(np.mean(delta * X, axis=0), (2, -1))\n",
|
||
" db = np.mean(delta)\n",
|
||
" \n",
|
||
" w -= alpha*dw\n",
|
||
" b -= alpha*db\n",
|
||
" \n",
|
||
" return w, b"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "b06e8738-1f04-4dce-91fb-167319378f2f",
|
||
"metadata": {},
|
||
"source": [
|
||
"Neuroninio tinklo apmokymo eiga:\n",
|
||
"\n",
|
||
"1. Kiekvienam imties elementui $x$ sudarome $y$ prognozę.\n",
|
||
"2. Apskaičiuojame svorių $w$ ir $b$ atnaujinimo žingsnius (atgalinis ėjimas) ir svorius atnaujiname\n",
|
||
"\n",
|
||
"Keletą kartų pereiname per mokymo aibę, kiekvienam pavyzdžiui atlikdami nedidelius $w$ ir $b$ atnaujinimus. Kiekvienas atskiras pilnas ciklas kurio metu pilnai pereinama mokymo aibė vadinamas epocha."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1281,
|
||
"id": "cf8a0bac-af71-4087-9b93-b1711e6130e9",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def train(X, yhat, n_epoch, alpha):\n",
|
||
" costs = np.zeros(shape=(n_epoch,))\n",
|
||
"\n",
|
||
" np.random.seed(1)\n",
|
||
" w = np.random.normal(0, 0.01, size=(X.shape[1],1)) \n",
|
||
" b = np.random.normal(0, 0.01)\n",
|
||
"\n",
|
||
" for epoch in range(n_epoch):\n",
|
||
" \n",
|
||
" #y = forward(X, w, b)\n",
|
||
" #w, b = backward3(X, w, b, y, yhat, alpha)\n",
|
||
" \n",
|
||
" for i, x in enumerate(X):\n",
|
||
" y = forward(x, w, b) # prediction for one sample\n",
|
||
" w, b = backward2(x, w, b, y, yhat[i], alpha) # take step\n",
|
||
" \n",
|
||
" # Calculate total cost after epoch\n",
|
||
" predictions = forward(X, w, b) # predictions for entire set\n",
|
||
" costs[epoch] = np.mean(J(predictions, yhat)) # mean cost per sample\n",
|
||
"\n",
|
||
" # report progress\n",
|
||
" if ((epoch % 10) == 0) or (epoch == (n_epoch - 1)):\n",
|
||
" accuracy = np.mean(predictions.round() == yhat) # current accuracy on entire set\n",
|
||
" print('Training accuracy after epoch {}: {:.4%}'.format(epoch, accuracy))\n",
|
||
" \n",
|
||
" return w, b, costs"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1285,
|
||
"id": "df66636b-9f59-40fd-ac22-f4c93814f6b9",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Training accuracy after epoch 0: 75.0000%\n",
|
||
"Training accuracy after epoch 10: 75.0000%\n",
|
||
"Training accuracy after epoch 20: 75.0000%\n",
|
||
"Training accuracy after epoch 30: 75.0000%\n",
|
||
"Training accuracy after epoch 40: 100.0000%\n",
|
||
"Training accuracy after epoch 50: 100.0000%\n",
|
||
"Training accuracy after epoch 60: 100.0000%\n",
|
||
"Training accuracy after epoch 70: 100.0000%\n",
|
||
"Training accuracy after epoch 80: 100.0000%\n",
|
||
"Training accuracy after epoch 90: 100.0000%\n",
|
||
"Training accuracy after epoch 100: 100.0000%\n",
|
||
"Training accuracy after epoch 110: 100.0000%\n",
|
||
"Training accuracy after epoch 120: 100.0000%\n",
|
||
"Training accuracy after epoch 130: 100.0000%\n",
|
||
"Training accuracy after epoch 140: 100.0000%\n",
|
||
"Training accuracy after epoch 150: 100.0000%\n",
|
||
"Training accuracy after epoch 160: 100.0000%\n",
|
||
"Training accuracy after epoch 170: 100.0000%\n",
|
||
"Training accuracy after epoch 180: 100.0000%\n",
|
||
"Training accuracy after epoch 190: 100.0000%\n",
|
||
"Training accuracy after epoch 200: 100.0000%\n",
|
||
"Training accuracy after epoch 210: 100.0000%\n",
|
||
"Training accuracy after epoch 220: 100.0000%\n",
|
||
"Training accuracy after epoch 230: 100.0000%\n",
|
||
"Training accuracy after epoch 240: 100.0000%\n",
|
||
"Training accuracy after epoch 250: 100.0000%\n",
|
||
"Training accuracy after epoch 260: 100.0000%\n",
|
||
"Training accuracy after epoch 270: 100.0000%\n",
|
||
"Training accuracy after epoch 280: 100.0000%\n",
|
||
"Training accuracy after epoch 290: 100.0000%\n",
|
||
"Training accuracy after epoch 300: 100.0000%\n",
|
||
"Training accuracy after epoch 310: 100.0000%\n",
|
||
"Training accuracy after epoch 320: 100.0000%\n",
|
||
"Training accuracy after epoch 330: 100.0000%\n",
|
||
"Training accuracy after epoch 340: 100.0000%\n",
|
||
"Training accuracy after epoch 350: 100.0000%\n",
|
||
"Training accuracy after epoch 360: 100.0000%\n",
|
||
"Training accuracy after epoch 370: 100.0000%\n",
|
||
"Training accuracy after epoch 380: 100.0000%\n",
|
||
"Training accuracy after epoch 390: 100.0000%\n",
|
||
"Training accuracy after epoch 399: 100.0000%\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
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\n",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"w, b, costs = train(X, yhat, 400, 0.1) \n",
|
||
"\n",
|
||
"plt.plot(costs); \n",
|
||
"plt.title('Vidutinės nuostolių funkcijos reikšmės kiekvienai epochai');"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "c3e5a398-26a7-4f63-8aac-80149edbbc70",
|
||
"metadata": {},
|
||
"source": [
|
||
"Kadangi dirbame 2D erdvėje, funkciją, kurią išmoko mūsų neuroninis tinklas, galime pavaizduoti grafike."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1286,
|
||
"id": "94a0ea27-aa70-4c62-aca7-ef5fbd004efc",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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GPcJNJ/8NYzpGTMe4Wov74B4+soU9HNQSqyfwhlpjjDHGmCcKkUxwpwju1OV+KcZYcW+MMcYYY65uMStxn9Ny9nv/S8WKe2OMMcYYc1VLCGmfkan93v9SORofQYwxxhhjjDHnZZ17Y4wxxhhzVbNYjjHGGGOMMVeJg1lidTSK+6PxKo0xxhhjjDHnZZ17Y4wxxhhzVUtZSPtdYrXP+18qVtwbY4wxxpirWjqAWM5RWWJ1NF6lMcYYY4wx5rysc2+MMcYYY65qKStpn9Nu9nv/S8WKe2OMMcYYc1WLCHGfS6j2e/9L5Wh8BDHGGGOMMcacl3XujTHGGGPMVc1iOcYYY4wxxlwlIvuP1cSDeSmH7mh8BDHGGGOMMcacl3XujTHGGGPMVc1iOcYYY4wxxlwlYlbiPovz/d7/Ujkar9IYY4wxxpgj6B3veAc333wzXddxyy238KEPfehxb3/33XfzFV/xFUwmE2666SZe85rXMJ1O9/x8VtwbY4wxxpirWkZI+/zKF3Eg993vfjd33HEHb3rTm/jIRz7Cs571LG677TY+//nP73r7X/iFX+B1r3sdb3rTm/iTP/kTfuZnfoZ3v/vd/PAP//Cen9OKe2OMMcYYc1Wbx3L2+3Wh3v72t/OKV7yCl7/85fyVv/JXuOeee1hZWeGd73znrrf//d//fV7wghfwXd/1Xdx88838rb/1t/jO7/zO83b7l1lxb4wxxhhjzB6tr6/v+JrNZrveru977rvvPm699dbFNVXl1ltv5YMf/OCu9/mmb/om7rvvvkUx/8lPfpL3vve9/J2/83f2/PrsQK0xxhhjjLmqpSykvL859/P733TTTTuuv+lNb+LNb37zWbd/6KGHiDFy3XXX7bh+3XXX8bGPfWzX5/iu7/ouHnroIf7aX/tr5JwZx5Hv/d7vvaBYjhX3xhhjjDHmqhZR4j4DK/P733///Rw/fnxxvW3bfT3usve///287W1v41//63/NLbfcwic+8Qle/epX87/9b/8bb3jDG/b0GFbcG2OMMcYYs0fHjx/fUdyfy1Oe8hScczz44IM7rj/44INcf/31u97nDW94A3//7/99vvu7vxuAr/3ar2VjY4Pv+Z7v4Z/9s3+G6vk/oFjm3hhjjDHGXNXmsZz9fl2Ipml4znOew7333rv9OlLi3nvv5fnPf/6u99nc3DyrgHfOAZBz3tPzWufeGGOMMcZc1RJK2mdP+2Luf8cdd3D77bfz3Oc+l+c973ncfffdbGxs8PKXvxyAl73sZTztaU/jrrvuAuBFL3oRb3/72/n6r//6RSznDW94Ay960YsWRf75HGpxH2PkzW9+M//+3/97HnjgAW688Ub+wT/4B7z+9a9HZH+HGowxxhhjjLmSveQlL+ELX/gCb3zjG3nggQd49rOfzfve977FIdvPfvazOzr18xr59a9/PZ/73Od46lOfyote9CJ+9Ed/dM/PKXmvPf6L8La3vY23v/3t/NzP/Rxf/dVfzR/+4R/y8pe/nB/90R/lB37gB857//X1dU6cOMEjf/qXOL5mCSJjjDHGmCvN+qnENV/+SR577LE9ZdEvpXkt+X2/+/+iPRb29Viz0wM/9dd/+Yr851x2qJ373//93+fbvu3b+NZv/VYAbr75Zv6P/+P/uKBB/MYYY4wxxuzHQY7CvNIdajv8m77pm7j33nv50z/9UwD+63/9r/ze7/0e3/It37Lr7Wez2VmLAYwxxhhjjDF7c6id+9e97nWsr6/zlV/5lTjniDHyoz/6o7z0pS/d9fZ33XUXb3nLWw7zJRljjDHGmCeYnJWU99fTzvu8/6VyqK/yl37pl/gP/+E/8Au/8At85CMf4ed+7uf4F//iX/BzP/dzu97+zjvv5LHHHlt83X///Yf58owxxhhjjLmqHGrn/p/+03/K6173Or7jO74DKIP4P/OZz3DXXXdx++23n3X7tm0PdMuXMcYYY4wxESGyv8z8fu9/qRxqcX+uQfwppcN8WmOMMcYYYxZS3v+B2HRo8yUP1qEW9/O5nM94xjP46q/+av7Lf/kvvP3tb+cf/sN/eJhPa4wxxhhjzBPSoRb3/+pf/Sve8IY38P3f//18/vOf58Ybb+R/+V/+F974xjce5tMaY4wxxhizkA7gQO1+73+pHGpxv7a2xt13383dd999mE9jjDHGGGPMOSWEtM/M/H7vf6kcjY8gxhhjjDHGmPM61M69McYYY4wxl1vMQtzngdr93v9SseLeGGOMMcZc1Z5Imfuj8SqNMcYYY4wx52Wde2OMMcYYc1VLyP7n3B+RA7VHoriPOWF/yWCMMcYYYy5GPoBpOdmK+4NVCvzCiRX6xhhjjDHGnOnIFPfLrNA3xhhjjDF7lfIBxHJsWs7BSWQSGd3lr0Pmhb4V+cYYY4wxZjc2LecKNS/ydxNz2tHRN8YYY4wx5onmSHTuhxyZl+2K7ijwz+zmW2THGGOMMcYss1jOFSjmjBMh1TJf6186zAt9i+wYY4wxxpjdpAOYlmOjMA/QQO3cL2edZPciv1zbvZtvRb4xxhhjjLmaHYnifsyJIQsqpYB3CCnXwl525uyXYzsW2THGGGOMMRbLucIMORPJLJrzi/c2Lbr5TqReSRbZMcYYY4wxC1bcX2GmGaY54yi5e82laE+Ubv6OTj7s6ObbAVxjjDHGGPNEcSSK+63s2MwQKAW+Ag5IAppzLfKFSLRC3xhjjDHG7GCd+yvMNDumGSIJRyaQSVIm6DQiZcFVLh385ciOosTa5Z9P2tGl0f7ni+1YgW+MMcYYc/RZcX+FeTiuICnRyYDLmU5iKeYlM+SMEwjAQCnwle3IDpQDuItJO2d08uHcRb518o0xxhhjzFFyJIr7x9IKLpbivpHIIAMqiY646ObHWqCX6M52ZMdRO/uWzTfGGGOMeULK7H9OfT7/Ta4IR6a4DykyiCfISFTB5UySgSARlzOtRJxkyNuRnUWRD5CpRb7AfN/t0qSdC12OZQW+McYYY8zRYLGcK8xnp09mo02suSlBxsX3ToZFN7+bd/MlEnLCScnmkzNB2DFp5yAO4C538sG6+cYYY4wx5vI7EsX9Q/0x4pDZTA2dDkxzoJOBFZ3RaSnuV2SGk8QgA52MuJwJklAyiUSQMi8/sFtk52C6+eV+VuQbY4wxxlxJrHN/hfn8bI04S2z5QKsjQ3AEiRxzgZXc08hIVMVJIoou4jsdI47SqZ9n8zmzyAeL7BhjjDHGXMWsuL/CfO6xE6yrcCz0BBc52WzR6siqn3HcTwkSOeE3CRJZ1RkrOtvRze9qNr8hLbr5jaQ6caccwgUIyOKwxXzSTspikR1jjDHGGHMkHInifmOjJTaOaeNpfGSIjuAix0NgKzalm59LN3/mAlMNBIn0ztXpOp5OBqaS6BhqNz8SJJFy3p6NXw/jAoR53S5gkR1jjDHGmKPLOvdXmPF0YMs3DK3H+UTfOYJLbDWB1dDTuYFZ8rQ6sukb1tyUVodFwb9as/lBRpIoKonIQJMTKpmOCEBc2oA7r9GXD+CeWeQDi26+FfnGGGOMMVemnIW8z+J8v/e/VI5EcR8e9hADY+cZXGY2CajPrLcDXTPgXeJENyVo5FiYseZntG7kpN8s19yUFe3pZGBVZwSJdPXnUCftOMoB3PmknflyLKVO2qnLsdw5lmNFIk5qpMdm5htjjDHGmMvgSBT3fkPAC3EUss/E5IkuMx2FcXA4n4hJCC4xi55pCHRuYEiOVkemPpzdzc+OQf2Obn7HULr0ZJDIkEsefz43v5E6XadO2lmO7ChKzLWgP0c3v1zbvdC3It8YY4wx5nCkpXOV+3mMo+BIFPfNOoAQG8heGHshO4gzZWg8g08Mg0M1sdkFNpqGxkU224ZGR46FGad8x0R7Nn1LkMiam7KiM4KMDG6KUg7edjrQ5EiqXfhWYu3c51LYw44NuMsHcN38v/S8+wFcOHdsx4p8Y4wxxpjDYZn7K0z7aIKYF8W9m9bivnXELpOdI04d0WWGtmGzjTgfOdW1eJdYbXpWajb/RDOl0ZHjfsqK62ll3DFpp0slm7+qMxx5Ed1ZjuyEpWz+mcuxYLvQ3+9yLCv0jTHGGGPMhTj04v5zn/scr33ta/nN3/xNNjc3+dIv/VJ+9md/luc+97l7fgy/lRGX0VFIPkMqxb1EkFHIHkhKdpBiie9E78hJUJcYozKLjtY1jNnR6EifPKuuZ+J6EkKQyODconufagkeVQhEmhzpZETJi5n5y5GdRTcfILM9gWcfk3asm2+MMcYYs392oPaAPPLII7zgBS/ghS98Ib/5m7/JU5/6VP7sz/6Ma6655oIep1kfkRhJjZCdMHZCckJsIbZC8uBmQlYYp0pqlOwzw0xBM/0ksNGMeJ/Y6Bq8ixxrelZ9T+cH1kNHkMRxv8UxNyPoyAm3hSMxdVt0UrbgdjKUbL6USTtBEmFe6J9R5JNznZu//+VYVuQbY4wxxlw8i+UckB/7sR/jpptu4md/9mcX1575zGde8OP40z2aAjkoyQnauxrLUWLIJC+MM8hOcLOlbH4t+OPUMbQlm99PAqqJ091AF0ZaP7LednhNHA8TVv2MiRs47TuCRE6ljhUtW3DXdIqTxIqUJVlBRjoZtyftyHZHH+poTYvsGGOMMcaYS+RQi/tf//Vf57bbbuN//p//Z/7zf/7PPO1pT+P7v//7ecUrXnFBj6N9xOlIig5xguRSyEsEbYTkMpKU7HK5NpRu/iK+kyANSgpKjEL0mZSUsXFMvSdmIWhiTMo0ejo3MiaH18iQHTMNtDoQsxJkJKrSaU/IjqiKI9ExEhEcGercfA4osmMz840xxhhjLp7Fcg7IJz/5SX7qp36KO+64gx/+4R/mwx/+MD/wAz9A0zTcfvvtZ91+Npsxm80WP6+vrwMgG1M0OsQ5cEKe+dKlD44UlOwFP81kB2OrpXPvYJywHeNpSsEfV2o3f1I23hIy065BXeKxtmPSDHTzbr5ETjQTVl1PqwPXhE2UzAm/ucjmr+YZSlrMz2+IDDKiks99ALfOzJ8vx4rEx+3mw84C3rr5xhhjjDF7lw8glmPFPZBS4rnPfS5ve9vbAPj6r/96/viP/5h77rln1+L+rrvu4i1vectZ16UfEHpwCqrImErnPjg0OLIKOtTvfa6FvKBD6dxrz6K4H4dS3GtfOvkpZMaVks0fJ46tEAghstGXbP7G0DLxA50fOB3bsgU3NXQ6sKI9x9yURkamOSxy+Zc7m1/uZ4W+McYYY8wTzaEW9zfccAN/5a/8lR3Xvuqrvor/+B//4663v/POO7njjjsWP6+vr3PTTTfBMIKMSFIQIeeMiCAxk8dEVl3EXSQ50liy+RLnUR0hDpA9SCzTdSQJKUAKEOeTdpKQgmMMiRgV5xIxKVs+MPEDY1IajYzZlZn52iyWYvXO00lPr46ogsuZJMogI4FIR5mXP5+0o1A7+uV1H+SUHbDYjjHGGGPMXAZyPu/NzvsYR8GhFvcveMEL+PjHP77j2p/+6Z/yJV/yJbvevm1b2rY963oeBnKagnOlqB8jiJSi3ymiivYlqqMzR3ZK9kqalm6+b3XRzR/b+cQdtq9N5lEdITWOFDKziQfNTCcNLkRCiKx2E4KLPNyssOJ7OjdystnCSyxz87Wn02HRzV/R2WLSzorOSjZ/+QDu0kjN3SI7sL8DuGBFvjHGGGNMQhDbULt/r3nNa/imb/om3va2t/Ht3/7tfOhDH+Knf/qn+emf/ukLe6BxBALkTBaB2rknJUQVnJLrn2VMZK9k55BUbi/RkXohe0VHKfGdUYgBkqfMz3f1e4AUhDgI2WXiKKTgGUPZgutcZtp5utDS+ZHNsaFxI1uhYeJ6Jm5gmgJBR9Y00GmJ6fTZ4SSxKn2J7FAiO/NsfiNp0c0HaOr//swn7ewW2QEWhb5FdowxxhhjzKEW99/4jd/Ir/zKr3DnnXfy1re+lWc+85ncfffdvPSlL72gx8kxkhkRV4vS5SJfFZIiOZfITkrIqIiL5ORBBImpZPN9QlLp5ksUXKid+8h2cd+UqI7E0uGXUUhNJjfKEIXRZWIUpiHShpGhdQQX6aNnxZfifgyK18TgPJ0OtFqK+0YiUZVGIoO4UuiTSEgp4MkkUi3T55EdATJxlyJf0ZLft8iOMcYYY8w52bScA/R3/+7f5e/+3b+7vweJEYjkVLvPMZXOvY5k50oBPNbIjnOgCiowlOLe9Z7sy2FcbUpsxzdK8krygu+0RHVaIYV68HZSDuPGToihFP2xKxn+ceIZQmKrKfPynctM2p42jHR+5ESzSuNGToTpopt/wm3Vbv6UIJFVnbGhs53dfNnu5s8z+prLIVyo3fw8j/DIrpGdSMRJjfTsMbIDVugbY4wx5uqVsiC2xOrKkXPp3peCXiHVkjUrknIp5M+M7NRYDloP4I4lvqMpgWqZme8VdVoO5tYDuMmXbr7EMk5TRkEDpKZ09rMTxjGTg5AaZRiUwWXGwTFtRjZ9pI+OoIlpG+jcwKrv2fKBVkdmvszM30wta26LIJFBPUFGBnF0MtTDuKV4D6RFNz8tsvksZuifOU6T+r4A58zmWzffGGOMMebqdCSKe1IGyaVmnRf5sFTQLxX5MZGdlu6+K9N1JOUyRlMEYunm6+jBl4O3EusYzbHOzXegY+nm60jJ5gcWozVlqHPzQ8nkZ5cZR2EMjr5JjHXSziw6Oj9y2g/MGo/XyCx5Wh055maLSTuDK987GVjVMjc/6gyXM0EiiYiSaeZFfu3gA0uLsmTXSTvzLv5ybMeKfGOMMcY8keR8ANNyjsi4nKNR3OcEpLL4VZTMvJCvhX6MZRxm7exLlNKxT67cf4zbhf4YQQUZRnKdtCPBl+VYU0cKrizImpbvvtES1QnC2NblWF05dJuasiArO4gTJXlIbWKz8+Aym5MW7yNNM/JIOyFo4ng7pXMDK77nuJ/R6sBxP13MzV/RGUFGjrspYT5GUwcaIt3ScqymduXPNWln3s2f/xXS+ZZjWWTHGGOMMVcry9xfYXLKZMmISi30gVSPnS5q1nm3epduPpBzAtk+eIvPZW6+avkoJgIx4+q0HUm5Hrytc/MHQVKZtCNJSD4Th/nB2/o9QBy0dvMhRiEGxzh4xtHhXGJISusiK6GnbzxeErMUmLieFddzzPnSzc9+MWknoUxJ9DrQ5Fh+X8dolk88nLUcSx+nmw9nz823br4xxhhjzNF3JIp7cgIpRT5wYUV+ZLvIFyXPbzgfo6kllkMdrcmgiFNk9GQRdCwxnxQUHbRuw61d+iCMPXULbhmj6Roh9kJymTiUvwmITWKrU8RlhsGVDbihYWsMNBqZRk/nRlb9jOO+IUhcZPNXtGeaA0FGVpkRiItNuCqJiCyWYwUyA9vLsfZT5JefrZtvjDHGmKPPOvdXoqXCMqftwlJ0PkGn/k50Z2QHyPPO/DyyA+ASWaWOyixvg4yxZPNVYRjL/eukHfWKzjwIpGnJ5idfFmSVqE45iJsCNapTl2N5iK3USTswm3hmPrHZRk61Lc4lVrsJjYushp61ZkqjkZPNFk3N5q+5MmHnmJvSSVmUtaozHHnHcqwg86VYj78ca/kAri3HMsYYY8zVzqblXOnmhb7ozm7+/He7dfNVSzZ/UeRHyLWbz1giO4wQ66Sd+dz8nJHkyuz8OlWHDDIkNCiSyvNIKt38GIBUJ+2kUuzLKDW+k4mpjuAclT4q4hIpKb5O2emTo9HImJVGI1s+MPPlEG5E2JSGldwz5DJhJyIEIoP4RTd/PkbzoLr55Ra2HMsYY4wx5kp3NIr7nNklCr5rkV9+PCOyw/YRaRHZEdlBFalFbU7zmfmxRHUA8X67mz96RAUZYpmv7xXty98AaF8m76QguL5k88dZ2YBbZuSXzn6clSk7qXGLufnTiUNCYhoaNruG4CIbQ0PrR1ZDz0ZoCRo5HVpaHVlzU47Vbv5Ut0pMRwdWpMzNH2QgSKTJiSBpx3KseZE/kAnMJ+mcMU7zIop8sG6+McYYY65MNi3nSrT8jsoZheVS93hnN3/p+nI3/8xxmjWnvyObn+Iih7+dza/XBleueYf0jqyKDmWcZg6Km5U/+1kt6IMQ27IFN07qtbbEdbYn7WRim9noPOIyG11DqFtwj7UTgoucaDoaF1nzM477LbwmTritOmlnxorOaCQuvncylIk7y4V+zjRSCv1YC/WmdvNhXujbcixjjDHGXD1Kcb/fzP0BvZhDdnSK+2WLGe+7/JdUp+KUP+7xAK7WazGWKTuSF5EdciarA02L20rOoEpOCalLs3IukZ08ao3llA64OkEbQZLW+A5kXxZiLRZl1fhOGoUYIfvMkITRJ4bGMSbFayImpXUjfXDMkqPVSApS8/iBwc2jOkqQkb4uxWokkmSgJ9GQSgFPZhHHqd38UrznHcuxWOrcx5ytm2+MMcYYcwU7msX93Lm6+cudfB7nAO58Zv5yZOfMmfkioLHc1pXHkboIS5yDcd7NHxfdfO1jWYA186XgD4prHVnBz7R28zNuPiO/K3P0YwOxcyWbX+fmD61n7ALiEtM+4H2kCxPW2hlBI481HZ0bOOZ71nyJ6pzwmwSJrOm0LMWSxKrOFjPzOwYceTFOM9RsvlvagDvP5ltkxxhjjDFHnU3LOYrO182HvWXzlyftnCubP5++M8/mq25P2hkOIJvvajbfQ2qF2CrZZ7ZmDvGZrSay2TU4TZzuWkKdtHM8TGndyOnQ1m7+9qSdNbdFkMhqni3iOp2UIn8+aWc5slOK/t2y+TW+s7wcS3Z+mLLlWMYYY4y5kuT6td/HOAqunuJ+bo+RnfLjGdl8UajXdmTzVSFtp8xlflvN5BEgIt6VDwm6tCgrZcQlclR0Hv/JDlwijlqjOvOlWEIcpU7kKVGd7CEO8/iOMKayfGsclBQFdZmUheAiQyzxncZFhuRodWQIjiE7gsQyVUciQ3aLTH4UxdVZ+YG4I7LTkLYPMdc4DmR2vglQMkjb3fxyJVk33xhjjDHmMrj6ivu5PUZ2dnbz4/ZIzXNN2qlZe6AU8i7Wh62TdlwZm7njAK53JcKjgvS+HMANSg7l4K2bOJITUiPEps7I3yrd/NgIscZ33ETIPhNbJXaO6DKnJx7xidNN5LGuI7jIsXZSJu34nmNhRqsjJ0NHW+fmr7hZje1sLQ7gdjLgJLEqPSppx6Sdpnb1g9SZ+SLnPYB7MTPzwQp9Y4wxxhw8i+VcbfYyaeesQ7jnmbQzn5s/P2Q7n7QTy0ZbpBb3ziExgYv1PglxSh4cOSRwgsSlLbitgoKOWuI5DcT5FtyhdPhdA3FG6fb3peAfWsfYO8RlZhOPc4mVZmC1KWM0N9qGRkeO+xmrfkanAzMXCLW4X9VS8A/qUdKObH6qG8KWs/lh/tZYNt8YY4wxV7onUC7niVdBnWvQaU5nbMHN2x39+e9ShpTLZJwYIaXyWDGSYyTHBDFCTDCO5HEk9wMMAwwj9APSD8isfNfZgExHdGvETcuX34q4rYTfSISNRNhMhI28/XU64zfAbwjhtOA3BL+h6IYjb3jS6cDWRsvmZsv6ZscjmxMenU744nSVh2erPNSv8nC/yhf7Yzw0HOPhcZXH4gqP1q/11HEqTdhMLZupZSM3bGTPNDuGrEyzMs3CNMMAdbJOyeanXL5inaufSMRcpu8Ai2tzibyjo78s5rSjo2+MMcYYcxS94x3v4Oabb6brOm655RY+9KEPPe7tH330UV75yldyww030LYtX/7lX8573/vePT/fE6Nzv5u9xHbOdQD3XJN2ci6laow1liOgdTzmvJs/6vakHe/KGM1QFmWJc2hw4ATXlMhOahyxdvPHLS2RnRZiW7r546QevK3xneQhbpa5+VttYNo1qM+c6lqcS6y2PSthoHUjJ5stvMYd3fwT9eDtcjd/VWfb3XwZcDnTSdw+gJszTrbn5jukHsrdeQDXIjvGGGOMuSwOIJbDRdz/3e9+N3fccQf33HMPt9xyC3fffTe33XYbH//4x7n22mvPun3f9/zNv/k3ufbaa/k//8//k6c97Wl85jOf4eTJk3t+ziducb/sXIdwzxnZOcfc/DMjOyJLc/PLYd6ca5E//xsEke0DuN4tpu8Qc43sZHRQst+ei6+jEgchOZCxzM2PrdTYTonvZJ+JvZB6JfrM1qCIT/S9Z7MZaXxkFj1BI5uhYS2U2M40hDpdZ8qmtrQ6MM2BICOrzBjElTGaMqCS6IiEOlIzUov8nHeM03QICGdFdsqbuXtkp1yzQt8YY4wx+3e5NtS+/e1v5xWveAUvf/nLAbjnnnt4z3vewzvf+U5e97rXnXX7d77znTz88MP8/u//PiGUEPTNN998Qc9pxf2yS13kx1QO2c6L/JRKZl9lMV1HxlQO3jpBxlyK/LEW/A40KsmBDuUrO2EcSx5fByEOZfpOjELymVmrjKNj6hJjVLxLzFrPNAYaHRmTw2tk5j3HXOnmD87VSTt+MUYzquByJslAkFLgx8Xc/EyqRX4jQiLvWuTPF2OVN3NnkQ/nz+ZbgW+MMcaYS219fX3Hz23b0rbtWbfr+5777ruPO++8c3FNVbn11lv54Ac/uOtj//qv/zrPf/7zeeUrX8mv/dqv8dSnPpXv+q7v4rWvfS3OuT29Pivud3MYy7HmkZ35cqwa2UG05PdFS6GvWpZhDWP5cOBdGbMpgjZlKZYLjlQLfteWqE5stU7ayYx1us7YCbGtIzU3HclnYutIbSKGTN8F1CdOtS1tM+Jd5JFuhUYja82UFd8zcQPH/ZRWR9bclBXtaXWokZ1xsRyrkUg37+ZLJOSEk8xQIzvz2fnzyM7yzPzlbn4kLkZqnq+bf2Ym34p9Y4wxxuzmIKfl3HTTTTuuv+lNb+LNb37zWbd/6KGHiDFy3XXX7bh+3XXX8bGPfWzX5/jkJz/Jb//2b/PSl76U9773vXziE5/g+7//+xmGgTe96U17ep1W3J/PHufmH0Q3HxWyOtBUZ+mnHd18yRlRJY+pdPRVkFgK/u34DkgsXX0Zt7v581n5OkCsXf841m7+4Bhbj7rIGB3elcjOSuhpNNK3Hi+JLR845me0MtZJOyNTDaxqv2s33+VMK7EW9WWU5m6RnURejNPcfsM4K5sPNmnHGGOMMRchy0Vl5s96DOD+++/n+PHji8u7de0vVkqJa6+9lp/+6Z/GOcdznvMcPve5z/HjP/7jVtwfuAuM7JRLu2zAzbkU+fUx50U+lBGZ1JGauX6XqOBSuU8dmSmjK8W9EyTlEuMZHKnR+ue8Hcvpaw5/hOQE7UD70tmXqGSFOFFir0TnSdGhmuhHz2YTaFykT45GI1shcDrOmLiBWfZ1C25gmnsaGRmyx0liRcqSrCAjkVLwB1mK7ZxZ5Jc3pxb5AvOJOvsYp2kFvjHGGGMOw/Hjx3cU9+fylKc8BeccDz744I7rDz74INdff/2u97nhhhsIIeyI4HzVV30VDzzwAH3f0zTNeZ/XivsLtccpO+XS7sux8jxmsttyLC33XSzHcg60LsAaa2RnHtdZmrSTvZZJO6rorEzciUFLwe+EcaJkzYytENuSyfdbpciPbYnvpKX4ztAGNtuIusxjkw6vZdLOauhp/cjJZpMgibUwXWTzj7npYjlWp0NZkCUznKSa1S9bcM9cjuWEMj+/Lseqf2+xr0k7FtkxxhhjzNzlOFDbNA3Pec5zuPfee3nxi18MlM78vffey6te9apd7/OCF7yAX/iFXyClhNaa8E//9E+54YYb9lTYgxX3+7PHbn65dMZyLKldekqDWuZbb+vh2kwt+onb3fx5ZEd1e9IOkKMg0SExlxx+Lt18okNjJtUOf/KCJC1dfA8aSzdfRpCxdvMTZJUS2RmV5DJbWVBNjEmZjZ7Gj4xJ8ZqYJc+WD7Q6MoR68NY5ujTQ6UBUxUkiitJIZJCRjrEuxxKCJFLOIDDkshxruZtf3iuwbr4xxhhjLtplWmJ1xx13cPvtt/Pc5z6X5z3vedx9991sbGwspue87GUv42lPexp33XUXAN/3fd/HT/7kT/LqV7+af/yP/zF/9md/xtve9jZ+4Ad+YM/PacX9QThfkQ/n3YCbmW+4jbsfwBUBVz8MOIVUozrz796RY+nmlzy+IkMiB0WdksYyN1/7jGukdPMHKd38Xsph3PkYTVe24sbGkUMmDkJ0mbF3zJqID5Hp4AkusdUGJr6jcwOz5AmSOO4bVlw5eDvVMlpzqoFOy6SdVenrGM2BJidUMl3dghtrPl+Bpr6d4YAiOzZK0xhjjDGX0kte8hK+8IUv8MY3vpEHHniAZz/72bzvfe9bHLL97Gc/u+jQQzms+1u/9Vu85jWv4eu+7ut42tOexqtf/Wpe+9rX7vk5Jef9/iXF4VlfX+fEiRN8M9+Gl3C5X86F2+0QLuzo6Jcf5ezf1WuLQ7gANX9VCv2axZovx3JarolA8KX778uirKxKbsvvUuPIQUlOiV3J6Me2FPfJC7GD5CgLsZrS4R8nuc7Sz+Q2k31CJiWy03Y9bShz80+0U5wmjjdTVt180s4WQSMn3BZtXYK15rZw5MXEnVAn7TjqciwyTnKN6sD8v3knQlhEdsr3+UjN+e/nlkdqlp/PfYjGCn1jjDHm4q2fSlzz5Z/kscce21MW/VKa15LP+Ok3oivdvh4rbU757Pe89Yr851xmnfvDNF9Oddb1C5ubv4jsQCnaVZEYt69pJue087BuXY6VU4nxSC6RHc2ZPCriFcmlmy9J0Sg1vlO6+hpLxz4FylY3BYmQBiEFIWUhamYrCkPj8D4Rk+JdJCZl6gOdHxiyEiQxeLfo5kcURyIiixGaSRSVRGQouXwS1MhOBJzM38/yjxcOOLJT7mdFvjHGGHPVumLb2QfLivvDdq4DuLDnSTvLB3DL1JxIVi2PN7+mshiZuViONSriXOnuj7FcC74c0nWC9jWqM3Olo+8FNyvjNGOjxKbk9N20LsealWI/BSHOanxnogzBM4Sy/VY1sdk1TJqBxkVOty2Njmw0DRM3MNGeTd8SJLKZWlZq9/64m6Kk2s2PNDnSyYhK3rkBt0Z24jkO4DqkHFG4wAO4YEW+McYYY44+K+4vpYuYtLPvbP4YF5EdESk/q5aRmjW+o71bbMF1ratRHVc69F5ws5LNd9N5VEeIUynxnS1HajLJO9KKK9n8LrDRRLyPnO4avEs81s5o3ciK7zkRpniNnAxlqs6K9pxKZdLOcd0qMR3tF1GdFZ0txmnOl2OFXbL580JfRRZbcBcz8+GsLbh7mbRjhb4xxhhz9B3kEqsrnRX3l8tBR3a0HLLNsLMffWZkJ+fyISApeT5xJ+dyMFfLBJ/sFEmZOCrqFclS4zsllhNDrvEdFtdSgJiU7DIpCrFXUuNISXAuM0Zl0gxsjYExORo3krIycT1TF4i5TNVJTuh0YJoDa7qFkwQJVNJ2N59MJNGQmG8QAGikLsSqy7GWIzuKEhcHn3cW+eVW2SI7xhhjzNXqMk3LuRysuL+c9hLZARDdPbITIc+LzqW8/eKMdIxL3fzap17q4osvnXuGEXyZke8GTxYhB4eGMj/fTUs337VKmh+8bUtG329RD+NCnJQPAeNKJnklNZlh4hhcpp94TvtEaEZOty3eRR5rZkz8QOcHToQtWh055btFN3/DtTQysqGzRTa/zMsf6WRkNu/m19hOqp38+XIscl46gHv+DbgW2THGGGPMUWfF/ZXiXOM0Yc/d/LMiO6oln7+czc/p7Gy+lq23O7L50ZOHms0ffDlkOzhSULIvnfnsYOyVFEo2f+xLNl/7M7L5CnGmDCEzhMBsEhbZ/DaMdL4W/JK4pt2k0ZFjbsZxX5diuWmdtNOzqn0Zp6mzOl2nLMdyZFqJOClxnXBI2XyL7BhjjDFHkcDjTM7b+2Nc+S5Zcf+//+//O3feeSevfvWrufvuuy/V0x49B1DkQ21Oz4v8+d3rL0QyzHNjCbK6Es2JAj6Xx0sZfCoFf/1gIDEjY9l4K9HV77WIDyBJSC5vX2vYju/k+iEgCDGVufk5KX3wzMJIzELQxJiVFd+z5QJDrkuxsqvd/ECqpXdCCTLSZ7co9AGUcgB3HscJAjFnHGz/3+SO7NLeJu1YZMcYY4w5wiyWc7A+/OEP82/+zb/h677u6y7F010dDiCygyx188fx7AO4sS7A0kgetd6udu69R3oBVybuZBWk93X6jpBnpZvvwlI3v63d/E5JPhNDmZufnTBOSpwnNWXCTnIQJ47RZ6ZNYrNrUZdYqXPzOz/yaDul0ZETYUrrRlbdjBO+HLg9laYlpqMDm3m2c9IOS5N2lg7gDssHcHP58/wA7plFfnkzt4v8dMb/RVs33xhjjDFXokMv7k+fPs1LX/pS/u2//bf8yI/8yGE/3dXpAMZpAqXQX56Fn3ON7Cx181P5MJDrd4kKrn4IiGmRzSdmREEajw51+s7oyAo61A59kDIr34EOpZufAox96eaPQxm7mRpl7BVcZhwczkeaJrI5BIKLnG5aujppZ6Np8RK5JmzSysiKm7GhJZs/ZE+QkUZinbCT6GTcnrRzjmz+bpGd8v7sHtmB82/BtSLfGGOMuYJY5/7gvPKVr+Rbv/VbufXWW89b3M9mM2az2eLn9fX1w355R8+5YjvnGKe5I7IjdRrOomadd6sfp8ifR3bmuf2UFpN5yncQJ2Svi/vEBDoI6gWNSnIZjSW6kwJIrFGdWLP5LcRYuv4pCik44hCJUXGuLMdqXGQaPGNWvCRSVlod2EwNJ/wmQSIxl6hOpwMRKbPxdUZDrP+p12qRvxzZSUIp2y2yY4wxxlx9smxHkvfzGEfAoRb3v/iLv8hHPvIRPvzhD+/p9nfddRdvectbDvMlXT32GNvJabm4jKXYr8ttz5q0s7wcaz5lh7EsvVIBddsHcJ0rYzS9K117VTTUg7fTci0HR9rSMje/08Xc/LGrU3Um1KhOvebKxJ3kHan1TLsALrM1aRbd/JW2J7jIo+2ERiPHwozjYbXEd/zWopu/plOcJNZ0WqfrlAiPo3bzqd18STsO4DpK534e2YHzH8CFnQW8RXaMMcYYc7kcWnF///338+pXv5r/9J/+E13X7ek+d955J3fcccfi5/X1dW666abDeolXjws8hCsqO3+X9NzdfFUkxvKBwNVu/nw2fr2dJAUtc/PnB2+zV/KQysFbFSQ5khNSUCQqWXPp3HtIDci43c3PHmIPcXBlbv4oJO8Z28gwOJxL9KOn8SMbY8PmGGhcZCsE2jppZ9O1BB3pnaepxf1KLiM1hzpOMxDp6iedjrhYihUWc/O3u/mJvKdsPpw/sgNW6BtjjDGXUs47+6IX+xhHwaEV9/fddx+f//zn+YZv+IbFtRgjH/jAB/jJn/xJZrMZzrkd92nblrZtD+slXf32WOTvmLIz/93ylB12KfKpaZUs5THysB3ViVoXYyUQIaeEDFq6+imRtSzFUlcKfq0Fv8Y6M78XZCzPrWOJ6mgj6EAp9EdXJu0MQj8o4hMxKt5Hpo1n1niCi/TR0bmRLd8w8x6viSH5OmlnRp/dIo8/n5ufZEBrcT7v5qd62BZ2RnZizosPSWcuxzpXZKf8bLEdY4wx5rKyzP3+/Y2/8Tf4oz/6ox3XXv7yl/OVX/mVvPa1rz2rsDcH6DAiO7DYaAuUWA6U5Vgq5fpYl2O5eujWKfhyjZkv3XxXl2O5uhyrdvPjPKqzVQv+QLnmluI7rRBbR/ZlKVbvM1tt5FQ74lzm0a6j8ZGVMLAWZjSuTNqZuJ6JGzjhtgg6sqZTOi0LsVZ0hpPEqvSoJDoZyuZbydvd/Fzy+cBSAU+J7+wS2YlEXH2f9rocC6zQN8YYY8z+HVpxv7a2xtd8zdfsuLa6usqTn/zks66bQ7SfyM65DuCqkmP5FLDczd8+mFs/EKTtw7g5lxn54hM51bx+TGSv6KhImsd3SnGvQdAIafng7VA7/E6QUUghkwdlGJTRZ2IUvE/MdnTzPZ0fWHU9s+DL3HzvCTqyoj19djjJRFWcJAZxdDLgciZJKd4DqU7WBxaRHQEysU7aWY7szLv59U1bXAPr5htjjDGXhR2oNVedC4zslB/PMTN/aTnWops/P4Crsl3kx1Ty+lI23i424NZtuFon7mSvyFD+BmC+Bdf5MkYzqzAOkDzEhrL91pdpPGW2fq4d/swwKINP9K1n1nq8S/TR0bjIaujZioHWjYvlWMfcjJkLpeB35dqqzhikjNSMCC5nOhlLAU9eFPmJTFi8Uewo8iNxxzjN5cgO7OzmW5FvjDHGHD7J5Wu/j3EUXNLi/v3vf/+lfDqzm4NejjUv9BcFPUvLsaR06QHGiDitE3Z8mbrj6qQd75C+dPPzzJN8KfjTVtmG61vdnpvflm7+OKkHbxshtvXPk7I8K7WezTaAz2x2Lc5H2mbkWDcjaOJ4XY61Fmas+Smhzs0vBf90sQyrfK+TdmTAkXcsx2qkFPrDOSbtzAv9lLcjOuXN3H3SjkV2jDHGGLNf1rl/IrvAyE75UXZEdqAewp0X+XUGfq6/WH7kXO+3uObrpJ2YFjPyyRk3lDGa86gOKaOD1qiOkJwgidrBp16bx3eENGbiKGSfGaMwesc4OsaoeJcY5nPzY2AWPF4jQ3a0OjJN4ZzdfCURdVaXYkUSESWXjD7l4C05l2MLixn6sue5+dbNN8YYYw6JHag1TygX0c1fdPJh56SdpcgOOZNr9EbmxbtoKfKh5PFHAedKfEe1RHZUkcEhg6v5+tLpT42ifenmu0FJrnbuZ5SNtzWyE1vBtULymTirS7Fax2brUJ/oB4/3kY2mYaNpaDQybQONRo6HKaddWwr9XDL6G9ouuvgDrozQ1IEhx/IhYL4Ui0Qk485cjmVFvjHGGHN5WebePGHtpdC/0MjOmcuxYo3sxLRYjrWI7LiSx0frpB1VJERwggaHhrJIK04d2ZdOfWxLoe+mZcttbEuBn7wQuzpLvy23yx6mE18iO4tJO4nHuo7GRVZCz/FmSqORk2EFr5ETfosV7Wl1WCzFWtWeTvtFoT9fjhUk1c7+4y/HWs7m72U5lkV2jDHGGLMXVtybcztXbOd8kR3YfW6+ain0RUpkR3L5FJwyOWuJ7OQMsXbz54d1cy4Ff8xozOBqxt8pMiqk8usS1REk1kVajjp9B9IoSKwd/lTGaaZRmEVBXCYlwfsyK39IjqCRMSuNjozJMfWz0q13jk5GhuxZrQdzU+23R1Wa2s0HGIBIIpBJF9DNn4/RtG6+McYYc0AslmPMkvMV+XDubv68yGd7NdxZB3BVkTz/oFAO1pLSIqojYwSniCo51MO4fYnv5OBws7oUa1YP4gZhrDPy3awcwI1tmZOfPLjpPL6jpK4U+lsTh7jMtB053bYEF9kcGoKLrIcZx8KMVkdOhk28JtbclGOuHMZd062yHCvPysHbpbn5TU4ESWjOiwO4gZ1FPmx38yHt6OSfK7JTfrZuvjHGGLMnVtwbs4vDzubDdjY/JrIrtxfvd2bzRWD029n8Xsmq6FCm76RQs/kquFmN6jTC2Erp3M8n7bRS4zuZuKVknxk6x9AGxCW2JgHnEuttxyQMtH7ksaaj0chamHLMlYL/hO8Wk3Y66WkkMnVbdbpOmbSjkhZLsULN6M+XYy0X+gMQRM8b2bFC3xhjjDG7seLeXJzzTdq5mMgOlOVYi8hOqhn+sU7nSUj2JZtfnzunhKSSzc85lwO40SGxHsbN5Xkk6iKWQy7fZaxLsXyZvpMdxNGRRiF7pc+CuESMSt84Gh8Zk9JopE+OPngaHYloOVibHSsa6ox8Ld9V6LOjkUhaKvIDCSflbzOWIztOhCGnsyI7y4ux5t18XcrkW2zHGGOMeRzWuTdmj87VzV/u5AM5bReWux7AXY7snOMALlI340rN2s8P4Poa5akHcPHl4G12gs58mZUflNg6soKf6iKqM+/mu0mJ8cQWYo3qxE5JHmZtoO8i4hMbXYNzidV5N9+NPNZu0ejIcT9jtWbzT6V5ZGdKp6V7v6ozlESnAw0lm99JhAxBUo3rlOVYw1kHcGthv9zNl53vsWXzjTHGmHOwaTnGXIQL3IJ73m5+fcw9Z/NTKt386JCxTOCRMZFVyUHRPpG9oKMjOcH1gpvVbH7PYoxmnJVu/jgrs/Jj60hT3ZHNn7WBph3Pyuav+J6JGxbZ/NNuujRpp2Tzu1yK/fmCrPlyrAvJ5s+XY1k23xhjjDHLrLg3B+8CIztwjgO4y+M0l5djURMroqX4VweaFvGeMnGnZPYlJsQpOTlyyuRBIGacE2J06FhGZkoq3Xwdy1dyZbpO8iW6k+q1mAAHQ5QS13GJmAWviaF1TIOncyNDVlqNjF6ZukCnA8mVqM5KntFriepEUZo6XSfWTP5cIhHOiOyUTNHym/D4M/PLLaybb4wx5olNcvna72McBVbcm8Ozx8jOBR3ArV36+QFcVBFXiuPsajd/rPPxa0RnEdmpM/Q1uHIAN5RpO9lL6c67MlEnhlLwj1tS5+aXg7fZw7jlyC4TWyV2ntFnTk3KAdzTbUtbu/nHuwnBlYO3K35g4gaO+y1aHTnmZqy4MllnzU1xJFa0/NxI3HkAt87MDzW6VA7gZpyIHcA1xhhj9soy98YcsAuM7JQfL6KbX58rS8noL7r5MYEvsR2iR7TEd8oiLUXGTFYh9Yo2ZQuujjWH30Psy0hNHUrhrz1oX+I7cRCyK5N2xplHQ6IfPU4Tm11gpWbzN0JD60bW/Paknc3Ulmy+26pRnbi9Dbf+7HKmk4iS60FaFtn8+gbV/7lzOZZ1840xxpgnHivuzaW1xyK//LjHbn59zEWRnzI4ByRyjQGJKx8EFrEdKeM255l8XXwI0DJpR0tUJ6ugXSn0kxMkleVYOkgt9KlTeIQ41s6/z2zV5VhjVKaNp/GRITqCi8yCZ8s3tDoyBLc0aaccxo0IjUQG8YsuPvTlH59S5Dek7U8zOdcCPhMssmOMMcY8oVlxby6Pi5iZX358nEk7tUDPsIjvzCft5ORgHLcLfZEyP3++HKsvkR1xZdIOTnDTUuSn1hFrNz9ulSI/thCbegh3IjsXZYUycSf5zGYb2GojGhKnug6niWPdjM6PTPzA8bCy6OZP3MCK9qzNl2MtdfM3aze/26Wb39SDuE4g1mI9IAyU6TrzSTvLB3AtsmOMMeaJRDiAzP2BvJLDZ8W9ufz2UujvdW7+cmQnxpLDj/mMbr6WIj/nkrUR2Z6178vB3KyKxgy1W6+jklzp7M8jO64vnftxLDPyx0FIQyn0Zazd/EHIvRJ9ZnNQ1GeG0dGGkeAjs87jJLHVBiauZPNn3hM0Ms2eFe0Xnf0gkU77RYEfKZN2BtJiMVakFvl556Sd+dz8MyM75c3cvZtfru1e6FuRb4wxxlyZrLg3V5ZzxXYutsif373Gd0qMpy7HygoxgcoiqiMpwRhLFz/VhVljIgeHOkFrZEdHR6oHbyXWRVkjpL5M2NEo2xn9NpMcpChEl5kOSt94vI+MUfEuMSTHxA90bmBoXCnufWBF+zppp3Tgj+ctptLQac8gteBnYEAJJGIt8gPby7GaGtlZLvJZiufExXu+s8gvt9o9tmNFvjHGmCPF5twbc5ntZdLOhUR2anGf54/3eMuxnCu3H8btSTvegSo6rcuxGk/2SvaCr8uxYqd10k5m7OqknU6ITY3qbNZJO52SWs8sZPquQVyJ7DRhpPGRR7opXhIn2i262s0/GbYIEjnhN+lkpNWB47qFSioHcImLZVmLCTu5bMEdamRnfhB3vhzLnbEca97Nj8Q6dvP83XyL7BhjjDkSbFqOMVeQg+7mzyM7Ugpakfz43fzlufm1+y8xlzGa80O2KkgC9UIKgsaa+Illqs72NUGikIZM8pBGIbnMdFSGxjNd6ub3S938MTm8RmbJs+J6VrRncPPDuOXg7TQHVnVWl2KV6M65uvmPF9mxbr4xxhhzdFlxb46OCyzyy6VdxmnO4zn1MedFPqSyAVe0HsItozclxu1ufkylkB8dMtTifvTl2pDIQUuEZnBkB25QYigHb8eB7dGaTZ2bP2rp+g9CbDLRO+LoUBeZjY4ujDQuMo2BRiNbzXY2/xofCBKZuUCrA530DNkTZKSXsiSrHMIdcTnTSqyd+7xjOdZykZ/IqNSCH5ZXBi/e0/NN2rEi3xhjzBXHOvfGXMH2GNkpl3Yfp3nWzPzl5Vha7iuuRHWyCqgrhf44bi/HUi3Z/CGCSFmO5ZXsFDctE3diu53Nj1tKciWyk0Lp5rvFoixHajIpOOLEkRyc6ho2mogLkfWuxWviWLvCxA9M/MDDzQqtRo77rTMm7YyLsZqdDGctx2pItHUrbidp1+VYqRbs80L/YpZjxTOWlVmxb4wx5nKxDbXGHBXzmfVnXb+Abv6iZp3PhS+PmaFGdgRqFz+rAy0TdXAOSQrzWE7OEB3iEvO7kUBGRecHbz1I0lLc+1InZy2/S0Mp+st8/fJ5Iw1KCo6UFNVETMo0eLZ8YMyKl8SscUzcwDE3W0zVGZxnmks3f1X7Hd38QUYigqtFuZNMyrt08wEytZtf/2GW3rCLmZtvBb4xxhhzuKy4N0ffBczML5fO6OYvH8Bd7uafeQBXBFxdmFWXYsko25GdMZaOvggyRLIqMiScV5JXtK2TdtpMako33/Vlqo7rKYdxA8ReyApjXz8ENErslaiZsfdshYgPka0h4F1kawy0fmTF95wOWwRJnAybdFq6+VM3xZFYc1uLDv5Qu/gdA01OBFnK5gsMuWzATfXtDAdU5FtkxxhjzGVhsRxjjqj9Lsc6I5tfHmap0J9fqwdvs5YcPoBEhwxa4jpj+YCQQ12U5RXtS5THzRwp1KVYbfk+dqXYT0EYt8rcfL8ldVGWECclox+3HGPIDCExmwTE5TJpx49MmoFHwgrBRY6HFSZuYNXPOO6ni0k7QSKrOmNFZ4tCf8dyLHYuxwr132TxHJEduLjlWBbZMcYYc0lZcW/MVeBcB3DhcSbtLF2v17IuRXbq4+0a2RkpkR3VRbRHci5TdqIrDW+NaEpIdKX7n+ePryWbPwiSyhZcSbnMyQ8gqWTzJZasfmqElMrfJGwlofeOfvQMrSO4yJiUzo1sxcCYHb4uwlrRnpkGeudp5tl8GRjEs6IzXO3AO0oRP+/mc47ITnk/wCI7xhhjzJXBintz9buIDbgQy0hN2D6AWx9rfgA3q+6M7OhuB3AVca4evB1Lvj74cnjXK9r78vmg9WQvpKC4qZZJOlMlhUwMguvKpJ1xWg/jNrWbrxCnyhAyQ5OYdQF1ic2uIfjIShhYHzoaHTnRTEs338045rqzuvnTHFDq3HyJNDnSyYhKXszMD3XazmJm/lI3X0UW4zT3ewDXCn1jjDEHyQ7UGnO1Ot84TbjwSTsXk81fmrQzz+azSzY/z6M6MyFrxtVJO7ER4nS7uE8NpKCMEwWFYeLRkDgVIqe6BqeZU92U1pVs/okwJWjkdGxpdWTFzVjTEt/ZrMV9pz2r0pds/i7LsZYL/UbKe1sHiu6azS9v5u7d/HLNCn1jjDGHxDbUGnOVu6jIzu7LsRaRHS2FfIadwZPFLP2l+fqSylScnBEty7FyFHR05c8qSHIkX7v/i6hOOXirQ0ZjOYwrWUg9pIYa98nE7Ik+kxolJcG5RM5C40dmwTMmxWsiZqHVkVnyDM4TdGTIjk4HhuyIqjhJJFGCjERiKd7JIJFUC/p5RqeROit/qZvPUjznfMuxzhXZASvyjTHGmL2w4t48se33AG6EPC86l4r3nLdjPOWhBVw9gDuOiy6+eF+edxhLJ18Vek8WKR18V+I7qXGLA7jzufljJ2QVxkk5dJua8uesQtySsgG3dfQTD5qZTQLOJ0IzstJO8C6y3nY0LnLMz1gLU1odOe6ni0k7x9yURkY2lg7gzg/hDjLW6TqJULP58078fNLObjPzy/tyYZEdsCLfGGPMPtiBWmOegA6gm39WZGd+9+XOvcqObj6AJF8KexVySqXwT77k+r2iQyK70tlPrhT4rtcyTnMQks/ERtC+LsUaSlc/tUKc1T/3yuAzQ+vp25LNn3ahZvM7jrctXiLXNFu0bjxnNn9VZ+fN5sczIzvsXuhbNt8YY8ylYJl7Y57IDjCysyjylyI7ZEXqhJ2dC7NqLn8+fadGdog1t6+KxFzGag5KjBl1UuI9TtCxTNMpU3XqwdsRZCxjNMeo5JBJozCOCj6Rk+B8YmgcQ1KCJsbs6NzAlg/MvKfVkYTQ1qjOfFFWQhdjNCOCy7kU+WQiZRPucmTHwXZeaUd2aW+TdiyyY4wxxpyfFffGnMsBRHYWy7F2m5kvZUZ+Kf7HEu9xCs6V246x3MaViTvZKeJdmb7jFTctUZ003e7mh6Z082NbYjmxqfEdB35ScvuphbFTsoNxxTO4zLRt2Oha1CXWu5bGRyZhYK2ZlUk7oRzGXfNT1lydm+8268HboXbxx8UB3IbdJ+0M+ziAm874+1Dr5htjjNkzi+UYY3Y4jG5+fdwSz9E6Nz8tniunjDiFKOAzEuvCLBdhUBg94gSpHfzklTSWgl+HeXQHdCjd/HGoM/J70L4W/2Mp8mMnDL2Cy4yjw7nEZjuULbha4juNjpwODRu+xWtk6gNBIituxlQDQUam2i+6+b0OuJzoZNyetLOUzS/jNC8umw+2BdcYY8wFOIBYjhX3wF133cUv//Iv87GPfYzJZMI3fdM38WM/9mN8xVd8xWE+rTGH5yJm5p+zyGdp0s5ykT+P7KRMTmVmvtT4zqLIX1qURcylyA8OibnO13eLMZoStUz1iUryuUzVGUs3X8e6JGtU0lAL/ijEkImjWxT6MQtBE9MYmIZAo5ExOVodmGXP4EpUZ8jT0sHXngFHIBJVaYj1P1KWYhEBCOdajmWRHWOMMeaiHGpx/5//83/mla98Jd/4jd/IOI788A//MH/rb/0t/u//+/9mdXX1MJ/amMN3rkL/cSI7i+VYy5Gd+liPtxwrj+WwbZmRLyV/P4xlC27wZXSmc3VBFuisXMvB4VpHVvCdI/sySjO2JaIzTqhTeMpX9jBOyvfYerbaAD6xNWlRF2nbCattj9fE8XZK5waOhRnHfE+jI9fUg7drbsrKPKqz1M3vdMBRu/nzSTtSuvlheTkWsojswPkP4MLOAt4iO8YYY3awWM7BeN/73rfj53e9611ce+213HffffwP/8P/cJhPbcyldYHLsXZ080VLl/7xuvmSy/KM+WHb5W5+nsd3EqRUD++COCHHtLiPJMhe0CBoVLLWWfm+RHe0dvPnB3B1gDgo2SlxVKJ3xMExDA7vE310NC6yEVo2mymNRvrG0+jIZmoW2fxpHae5ojO6PNBIJOqsFPmMi25+rJGdc3XzE3nXbP65uvnlZ4vsGGOMwYr7w/LYY48B8KQnPWnX389mM2az2eLn9fX1S/K6jDkwe8zmX1RkJ1IO0+alyI5ImaQTtXT6U1pcQ6QcwB1T2YIbE9kpKSg65LIUK2pZetUIY83mbxf389GaJYefvZIGZTY4epcYR8X7xKzxzKInuEifHI1GtkJgywXauhQrSKR3ntVa1M8L+qHOzVdJdMQdRb5C3YK7v8hO+Xn3Ir/czwp9Y4wxV49LVtynlPjBH/xBXvCCF/A1X/M1u97mrrvu4i1veculeknGHJ49TtrJabmwXIrs8DjLseqfpU7VWSzHEoGxLsdamrSDd9vLsZygzpFbR1YhbdXlWI0S5lGdLalRHRbxHbdSl2N1QmodyWdmE8/MZTa7yHo74lzi0W5C40dWwsBamNK4yImwRasjx9yMY25G0JETaWu7my/DYkFWkLHMziftOICruXT055EdgHAAM/PBCn1jjHkisDn3h+CVr3wlf/zHf8zv/d7vnfM2d955J3fcccfi5/X1dW666aZL8fKMOTwXOGlHVLZ/d67Ijio5lk8BAqWbL7pjOZaoQt6O7+T6IUFCJqfazU+5jNiMmRS1dPNT6ebrKMhYu/mpHsCNQqzXxujIPpOi0A+K+ESMiveRaeOZNbWbX+M7W75h5j1eEylriexoYKVuv11Z2oI7yEggLrr5QRIpb3fz5//gSonw7HWcJpy7mw8W2zHGGHP0XZLi/lWvehW/8Ru/wQc+8AGe/vSnn/N2bdvStu2leEnGXHoXGNkpP+4yM/+MDbh5/vvFAdylDbhjLHl8ESSm0skfY+nmOyVHB6pocKS+5Ot1KEuxXKO4vnTu5+M046yMzdy+VjbgxlbJPtMPSu8yfRuYdQNOE7OuFPmbTcOGb2jdyCyV5Vjl4G1LqwN9djjJrNZufpCRQQYcZTlWkISSSUvLsdzijdpZ5EdiPZSrJb9/AZEdsCLfGGPM0XWoxX3OmX/8j/8xv/Irv8L73/9+nvnMZx7m0xlzNBzkciwVGMft5Vg1m7+9HEvIyW1n8+dbcIc6fSf47Wx+qIX+rCzMyo0SQyn0fac1viOMbe3cT2QxIz8280k7NcPfeTbmk3a6BucTjzYDK21fojrNlMaNrPkZq35GqyMn/BZBIsfctC7FiovlWF3N5s8L/flyrEZKoR9roX72cqztyA6Uwj4ScfV9t8iOMcY8QdiB2oPxyle+kl/4hV/g137t11hbW+OBBx4A4MSJE0wmk8N8amOOhv0sx6qRHbREbhbdfFVItWTNS+XqmZEdrb+bR3bqY2nOZFVy1MW8fMklcy+xfGVXpu+kegBXulLwk2pef8ykUcheGZIwukwclSE6govEpAQXmYbAVgy0rhy8nR/AnWmg1YGYZdHNH8QTpE7XyaXIT8iu3fwIZ3Xzi2TdfGOMeQKyzP0B+amf+ikAvvmbv3nH9Z/92Z/lH/yDf3CYT23M0XIR3fwzO/lwjg24dTzmYjlWnZoDILF27kdXIjtaYjui5SBuDuXArfQeVHAzJTY1ttMryZVDt3FaR2r2tZvfCmkqJJ+Js/K7oXUMrUd9YjZ4nEustj2nQkvrRrbagJfE8TBl1ZVu/qZvFtn8TktU57hOURK9DjQ5luVZ8zGapDJh58xxmrkexBUWkZ29HMC1It8YY8xRc+ixHGPMBTqMbP6Zy7GibHf8oWzBnWfzfSnkcQ6GOn2nLdN3NDi0KZN23Gx70k5sS8d+nFILfupSrPn0HYgTITVK8rA18eAyW5OGECLeRx7rOoImjjUzjoUZnRs4GTqCRI77KSuuRHU23SZKYlV7Ou3LwVsdaCiFfpBUO/t1C+45lmMtZ/P3shzLIjvGGHPEPUHK0ks6594YcwH2E9mB3efmq5ZC3zmIeUe5mmvUR6BGe/L2fXIunf2c0ZjBLUd1cp2XL0iqh22joGMmeeo1kCikFlKAmMqknRiF1CqD9+QsOE0MSZlFT+tGxuTwGhmyYzM1dDosJu0kdDFDP6FMSazqrBbs8857hhrZSTWPvxzZmXfz6xu2I7JTriSL7BhjzNXAMvfGmCvGfg/gzot88uKx5kV7no/WjKl07mH7AK5z29n8WK8NrszXV0GG0s1PjcOF0s2Pff3eCikIyS918zshNSWis30YVxdz8zemDnGZrS5wqok0fuR02xJcZD1MWPE9EzdwOrR4TZxw3aKbv6ZbNBKZ5kAjkSAjq9KjkmhymZmvOe84gLsc2YGzD+DazHxjjDFHkRX3xhwl+8nmw85u/l6z+aJIjNvZfF8L/TGCKm5YyuaPj5PNn5WpOsmDqzn8OK0FfyjZ/Oxg6BxDk9gKsUzacYlTbctKGGjdyKm2xUviVNMx0VLwb/oGR+aYm9JJT6cDU53hyGV+fo47tuCGRUZ/HtnZLvT3GtnZa6FvRb4xxlx+dqDWGHPlO19s52IjOyJlyo7kxePkXIv8XLv/ItvLsVJCUipd/gQ4geSQMZdJO4m6AEvRsU7YmV8by1KstHS7GJU0CskrsySIy8SozIKnDSNjVoJGxqys+sAkDYt4TkSYSWCaS3xHJRGRMje/rv51ZCJCIBFrgZ8e5wBufcMWkR1gMWlHlzL554rtWJFvjDFXAIvlGGOOjHN185c7+UBO28Xlrgdw55GdxzuAO2rJ3osiYz2A67a7+TrU6TvBgy+de219OYDbOFKjZUb+tPxurBn8FGDsyqz82AqxhexznZsP084zaxOnfWJjUrr5j7UdnR+Z+IHjzZRGR477FSauZ8X1nHblMO6Kzui0zMlf1RlK2nEAt5MIGTqJi4O3ARjOOoBbC/vlbr7sfI8fb9KORXaMMcZcClbcG3M1ucBJO+ft5tfHPGc3H8pyrBhrpCctFmYxKOIUieX+OqayBddr6eqroIOWbL6jbLzV+VIsSEHQvozTTDNPbDMpJDZ7h7jErAs0zUjjRzbbhuAip8OUFT+UbL5vaXXkmJux4srW26kLOBIreUYjkU4GBhkWHX5HRnOmq0V7OGc2X4C0I7Jz5tx8y+YbY8yV44kUy7H/r2LM1SjnnR39Hb9LS3/M24dwcypfKUPK5Fy+SKk8VozkGMkxQYwwjhATjCN5jORxhH6AYUT6AekH6AdkNqCzAd0acNMRtzngNyN+K+I3I2EjErYSYSMTNjN+I5c/nwa/AeG04DekfD/tkA1H3vD0Gw2bGy2nNjoe2Zzw8OaEh6erPDRd5YuzFR4eVvlCv8Yj4woPDWs8PB7j4fEYj8YVTqUJ66ljPXVs5IbN1LKZAtPsmGXHNCsDwpBhAPqcGXImUQ7jppwZcon1pPqfmPMitjO/NpfIO4r9ZTGnHcW+McaYQ5AP6OsivOMd7+Dmm2+m6zpuueUWPvShD+3pfr/4i7+IiPDiF7/4gp7POvfGXM0OO7IDdXpOLLdVqYdty6QdUYVhLNd8nbTjFJ2NZFVc68hOyV5wXZm0E1ohziftdPOpOvUwboDYObLLjBNHajxDSAxdg7jE6W5cdPPX2p7gIieaCZ0bmbiBk2GTIJETfou2RnXW3BRHYs1tEYiLjr5KopOIy5kgZTkWOROkzswXOZQDuGDdfGOMuVq8+93v5o477uCee+7hlltu4e677+a2227j4x//ONdee+057/fpT3+af/JP/gl//a//9Qt+TivujXmiuMADuHCOcZrLy7FUyTHWLM/2OE1yJqsDTYvDupLzYgKP1NGbOSWyr5tx6/z8GB3qyyhNjUrW8pcELkAMgo6ULP9Aje844qDgMv2gDI1n6hP96PGa2GoDkzAw8QNbMRA0spkaVrRk86c5ECTSZ1cKex1YkRlOEoMMBInb4zRrp/7MbH5gPhd/Z6E/zzidGdkpt7W5+cYYc8lcpgO1b3/723nFK17By1/+cgDuuece3vOe9/DOd76T173udbveJ8bIS1/6Ut7ylrfwu7/7uzz66KMX9JxW3BvzRHOuIv+MUZrl0hnjNKUst4IzxmnWx5z/e0+g3E6lFPnEUuQ7h4wCvmbzoy9Fvlfc/EPAmEmhHsat2XyJpdh3vhT62YGMNZMfyl8cZCfEUUhNYgyZzSSoZsakbA2eLgT66GhcZEiOiRuYuJ6pL8X94B2dDHR5oNdS6EdRGokMMtIx4qidejINaXuazmLxVT7zTWD7zbq4It8KfGOM2b+DzNyvr6/vuN62LW3bnnX7vu+57777uPPOOxfXVJVbb72VD37wg+d8nre+9a1ce+21/KN/9I/43d/93Qt+nVbcG/NEdVHLsWI5hAt7W46lirhYH7LOxxdFvCu/G0ZwJb6TQ5mRL8GhzoFX3LREdVyrpeCfR3VUGLvtSTuxk52LspoS34kuc7oLSBNxIfFYN+A0sdbNaOuknZPNFkEjJ8IKrY6saM8Jv7ljOdZyN7/bpZvf1CVZTsohXICAMFCm68wn7aQEblNgzBAUVkqM6fEiO2fm8a+oYj9n2Ezln8cLrOjufzNkjDFXkZtuumnHz29605t485vffNbtHnroIWKMXHfddTuuX3fddXzsYx/b9bF/7/d+j5/5mZ/hox/96EW/PivujTF7nrJTftzjcqz53Px6E5k/hmbyCBBLkZ90O7YjAikjLpEHRReLtRx5SCSvSCzZfo01mx+kTORR0CikXogBZNzu5udGGUMixTo3PynBRbpmYIgOp4lZ9LWbPzBLnqCRmQslm58GeudwZFZ1RpCxjNFkqN38uOjmR8qo//l7mgRCBl1P6F9EdD2j9Ub5uMLTAul4eY+OVGRnPcLn+vJ9Xtwfd/C0pnw3xpgryQHGcu6//36OHz++uLxb1/5inDp1ir//9/8+//bf/lue8pSnXPTjWHFvjNm2l27+XpdjLW/Ahe0NuCLgaoynZv3FaWlri2wv1HKKJF8P6Ja5+eIVHWtxPzpcLe51KAdvx7F08l0QxlFKwT+UsZqpKYU+CpuDoiEx7QN953CaGZKjdSMrvl8U94N3pZvvZotFWfPvnfYkmS/KKkX+QFpsv42UTn7MGXcq0XxixM0grdQo0Qj68AgbifhlDfm4WxzAveKL/PUIf7oF0wzHFFa1FPgPj7AR4csnVuAbY64sB1jcHz9+fEdxfy5PecpTcM7x4IMP7rj+4IMPcv311591+//23/4bn/70p3nRi160uJbq34R77/n4xz/OX/7Lf/m8z2vFvTFmd3uZtLMjsrOHSTs5l383zufin2s5lnPl9nXSjg6+TNlRJTUeFLTxZF+iOr51pbjvlOSFFHKN78A4kRrfEeJkPn1HSU1mGjKzSUBc5nTXEnxk0gysNj1BIyfbFRodOeZ71vy0TtrZpJORFZ2VpViSOK7TxXKsTgZczmUpVs44Eu3nRtI0Mz1Ztt4qICGjJwT/WCL/eU9aa4BaEF/JU3ZyLh37aYZr3Pb/bjQCQeDR2tFf6yyiY4x5Qmuahuc85znce++9i3GWKSXuvfdeXvWqV511+6/8yq/kj/7oj3Zce/3rX8+pU6f4iZ/4ibPiQOdixb0x5vzOdwj3Qrv588jO8nKscuOyHCvn7YO6IiWyo0p2iuZMVkUT4JXktZxjVYEE2c+jOvXgbWJR3EsqBb9ESL2QmkyKgeQy0yj0IdEPnn50eJcW3fxpmDGLntaNDNnR6cAx5xeTdlLW0tXHMUjp7M+7+ZOtEVmH6Yogi4235V++USCvgFtPjJuJuMqOKTvlzdy9m1+u7V7oH2qRv5lK5/7YLvl6kdLFX4/ldqvWvTfGXBku1xKrO+64g9tvv53nPve5PO95z+Puu+9mY2NjMT3nZS97GU972tO466676LqOr/mar9lx/5MnTwKcdf3xWHFvjNm7Cyzyy6VdxmnOi/f6mHlp4o5kLSMzVcqSLJWyAde5Et9ZXPOl++8VHcrBW+0dOZTDt9or2VG24PpS4GtfcvjjsNTN70tePw5CDJkYEsPEoZqYDZ7GR06Hls12ipfENW0o3XzXcrx287ez+T2r2hNkZFVnZR5+PyWOPf2KEnJG6tbbXJr4qAfdzMQhQRYSGZVcinxYXhm8eE/PF9s51CJ/zOVr9RyP7WX7kK0xxlwpLtMozJe85CV84Qtf4I1vfCMPPPAAz372s3nf+963OGT72c9+FtWD/Xe1FffGmAu3x8hOubT7AdyzZubPx2kuZ/Pny7GcwhhLUe99KWWHcTubH0o2XxtPdkIODhcc2Qluqotu/thqWYC1JaXgb5YWZW05Ushlbv6kTNoZJgH1Cd9EHms7vIs82k5o3chqmHGiKQX/ybC5mLSz5qYEGRffe/GcdANxFMZQivtAwuWMSMYPIA6mLkNOB7oc61Am7XgpX2MuUZwzjWVfAd4iOcYYA/CqV71q1xgOwPvf//7Hve+73vWuC34+K+6NMfszn3Jz1vUDjOzMl2w5PWP6TkJSmb2fXZ244xwSc5mg4wSJjhQUGUtUJ3kpUR0PcaTGd+bXyhhNSWV5VkxC8pl+cKSoqEukpAQfmUVPnzyNjoxZy5Qd5xcHbiM1qtM6nnpsyolHZsxOlvI8E3GSkJQJG5GtJynTieCoB3ApU3ZKZn/ezReuiLn5K1oOyz48loz9jg93GTYSPMmX2xljzBXicsVyLgcr7o0x+3dRM/Mv4ACuc0AqB3BduU+eR3VGgXk3P3hEhOwdEjxZBGkdTktUJzUlvhO7siQrNkJsy4x8NysbcFMDcVYP4/ZK9hAbZZyUMZ7jikNdZqMd2GgbvItsDC2tHznmZ6yFKUESm6kp8/G1Q58ifOXpL3LskRmzVcfglS6OdJuRaac8en1DBkIuk3aCwJDLBtxU386QOZAif9+RHZEy7nIjlsOzq7rdyd9I0Nbf22FaY8yV5DLFci4HK+6NMQfrIsZplku7Z/NhaTnWXrP5w1hiO06RwZXvXtGmxnd6V7bieiG1ZbTmOFGSz8QgxA6SE9xsO74Tt+qirKljDImx8Uy7BtXM6UlLcJGVZuBYM6NxkfWmpdXIqp/xcFjli08/xpc/9BBPPb1Bm0Z6H1g/2XH6eke/qnRpoJOxFvfby7HmS7HKaM3tyA6wyOZf8sjOcVfGXc7n3G+mEsV5krc598YYc5lZcW+MOTx7jOyUS2dk86XEbaA0qGW+9bY+ZoYa2SmLr1Ahq4OUkHo4SVIqkZ1Ull+RAAWXM7nOzZdUG+AZsgdttEzVcbn8zkuN75RsvmTIzhFbJUUhucxWFnofGaJjTIrXxJiUzg1sxcAYHKebli/ctMqTZ5scz1PaMDCswKobCGkkihJVcSQ6xrocS4h1bj5yRmSH8povW2TnuCvjLm1DrTHmKLDOvTHGHJB8xr8ND/AAbp4/3pkHcFV2HsAVqV38kayCDGXOvnolN54s4Ga+FPKN4hvdnpvvconvdNQDukvd/EmJ78QVR/SZvkmlm+8SG11D8JGVMPBoM6HRkWuaji+446y6GcfcjG4cOJbLxJ1VnbGaZyipbsGNNDnSyYhKLpEdyQQyjoyyfZ51+QDumUV+eTP3Nk7zgmfmi9i4S2PMkSD1a7+PcRRYcW+MubTON04T9pzN3zFOE7az+fMtuCrlcVS2s/lSYjzZKTIoMqaSzY8l+qPzbL4TtC+HcmMrxFmJ5ZRxmiyu7SWbf6ppaHzJ5gcXORZmrPkZrY6cDJsEiay5KSu1qJ+6LRqJdFKWYqmkHcux5ltw50X6IpufM+GMyE55fy5+nCZcpi24xhhjLooV98aYy+NcRT7sedLOvJu/iOzUx8uqJX8f2S7ya7d/3vUvxb4j12uSSyGvySEplw5/ciQnSCyxnhLVEZIXdMyLqA65RnY6iNGRXSblEtlJURhHh/eRmJTgSnynD47GRRKCl8iQHYPbnrTT1C24vTgaiSVORCIidEQcedfIznwD7mWN7BhjzJXGYjnGGHOJHMCknTwvPOfFe4xk3b5WHrpM2tlxAHcosR1Etg/gqkKdtKOtIzslB0dqStzHd1pGZgZhbKUsxerqGM22/Dnr9gHc1Dn6LtFrZrrS4FzisXZk0gw0fiyRHRc5Hqas1m7+NbWbf8xNWdGeRkbWdIqTxIrMaCQSZNxxADdInbRTIzvuEA/gWqFvjDlqbBSmMcZcDofVzYcSvYFzd/PnB3GdklOJ9kjyZFVySMhQlmlJLOM0U6PoUIp7HUoOP85AZ0L2MI51OdZMiFMh+0wchaQwdp6+9ahLbHWhRHaahtXQ0+jIVmwIGlnz07oMKzJ1oXzXQKdD2YIrfYnsMNDkdOVm840xxlwyVtwbY648h1Hkq5bZ+LBd5Gs9mLujyHclf++0RHZUkZTIUcvB3ZrX16jIqGXqThKSE3QUdCwLsiSWgl9H0LFEeSSWIj9FYRgF8ZmUBO8T/eiYNZ7gImNyNG5kSI6Z97Q6ErMSdGTIji4PJb6jipNEEmWQsWbyR7RGdhoS88GiAI0IkIm7FPmKEhfv+84iH2rE5xyRHbAi3xhzhbNYjjHGXAEOOLJTHkbIyx8eYtqO7AA4LbPyRRDnym28K18iuL508/GKC+XgbWodySmpUWIrZW5+Vzr3Y1sO5GYP40TqEi2IrZJ9ZlhxDArTLnK6HXE+sd61BJdYbXpWQ0/nBk6EKa2OrPoZa25KqwNr2i0m7ZzVzZftbn5H+VAz5IyrmfymHsAtER7Z9QBuJOLq+/54kR2wbr4x5gg4IsX5fllxb4w5Gg6gmw+1bp2P01SFVEvWxWHbdHY3P+c6TUcWB3CJ2zP1JeayJGsoX8kLkkpGX0eIAyQHUqM6OoL2QvayuJYGYeiVwWfGweF8ZKsJbLaB1kWmbaDRkbXQsOFaWh2YhRLV2dS2TtoZGdz0rHGaSUrxPj+AO5+0Uwr7Ojd/l2z+9hvGnrP5YN18Y4y5nKy4N8YcLYdR5NfHLQW9InV85mLEZkyIKwuaFr+LqXyJwOhxTsjBIdGhKuhYx2kOitaDtxpLka8D5ZqvBb+HOCpxKLGdcRRG7xk7x1An7QxJCZqYxsBWmNHUiE6QyHE/Zeo8nYwklCCxfh8JRKLOdkR2AglqZCedMWmnvBdLf97jpB2L7BhjrmR2oNYYY650FxnZgViK/eWZ+fXxdkzaWY7saCSPWor6+XIs1RLbWV6O5RwSPDghz3xZeuXr3HwvZTlWnYcfm0zydbqOr7P023owd1KWaMXOsdU0EBKbkxbnEm07sNIMZcJOO6XRkWNhxnE/o9WB4356xtz8keNndvMpy7EAWok4yWdP2kFK8b/HSTuws4C3A7jGmCuKZe6NMeYIuYBufrmUd3bzRSHlpQTKvFu91M2XDLk+foKsDskZooCvj5fKcq3ywSAjTpDgkFhm6BMdYxvI4tAM2sc6Kz8jI4upO/P5+TIqqc0kr8RRiD4TR8cw+LO6+Zu+oXMjsxTwGpllz4o2tDowZF8iO9nTaU8g0uuwmJs/X4o1j+2EpW5+Wpqbf1Y3PwmymXERkk+wIqi4egvr5htjzOVwSYr7d7zjHfz4j/84DzzwAM961rP4V//qX/G85z3vUjy1MeaJ5CK6+eeM7LBLkR/ZjuWkTE5Sojrzgt6lsjyrjtZEBBk9MkT6lY7NteP0k5bsHVkzvh8I0y1cHtBBiA1kX6brZAfjIKSZkHwmDq508wclNg7xiXF0OJeYjp6V0NC6kT45vCT6xjPRnokbGLzDkZm6Kau5dPNXmZWCXmc0OdaRmvHxi/xcs/gCup7QP4/le4TsBDnhSDd68nFnuXxjzBXFYjkH6N3vfjd33HEH99xzD7fccgt33303t912Gx//+Me59tprD/vpjTFPVHss9HNaLi6XIjvsshwLyqSdehh3ca0etkVdieyIIGNcLMfqj69y6skniD4QTk/LfRrH0LWkoBx75DG6zVgm6DgYt+YTdyA1ZYzmOKlz8zshNY4UMtOJB5fZ6hoeayLeRx7pJgQXebhZYcX3dG7kZLOFr9n8Fe3pdOCYmy624HYy0EhkRWc40nmXYzXrmcknRmQGcUWIoR4S/uKAnI7EL2vgxPb/e7HlWMaYy85iOQfn7W9/O694xSt4+ctfDsA999zDe97zHt75znfyute97rCf3hhjLvgQrqhs/+58kR3V0q3PNZbjdDvBUsdubp48RvSO5rHTiyk9OWWkj/RrK/TdCquPPrqI70hSkstIFOJQuvmSalQnCmmAFCDG8mEgRaEfHINPpKQ4lxiiYxrCopvfaGTMji0NtEuHcXvn6aQU/BHBkRlkWBzGPbObrznT/flInmb6k1I+5yCkBlIQ/KMJ+fOBuFbOLZzrAG752cZpGmPMQTvU4r7ve+677z7uvPPOxTVV5dZbb+WDH/zgWbefzWbMZrPFz+vr64f58owxTzR7LPJ3nZk/j+wwn5YTF2My55EdVJH6KWDe4R/awDBp8ac2kFjvKwmJilMhnNpibAPSQ5gNZUFWX5ZjxVZIoXTudShxIZ0JqYXkhTibb8YVUqvkkJn2ivhM33o2mpHGR7a6gNPE5tiw4ktUZ5Y8XhObqWFFe1odmOrWooPfSCw5fRnqSM3SxW82IzyWma6UJVha35PFX1evCLqeyJuRvKrnnbJTfrZsvjHmcFks54A89NBDxBi57rrrdly/7rrr+NjHPnbW7e+66y7e8pa3HOZLMsaYi5y0E7c7+suTdpYiO+RMrp19qffLOZME/GwG1Ck8KuVvBFRwMRG9g9mI63tQRQdPFsG1juSF7BXf1ahOK8RmPlVHSPOoTpDSzZ8o2WWGiWMIDVshsdE1OJdZ71q6MNL5kRPNBK+JE2HKxJWC/4TbIujImk7pdKCToUR1JLEqPUFGjg094zjSrwi+LsESwM3fAp/xm5l+iJTPQWdP2bHlWMaYS85iOZfHnXfeyR133LH4eX19nZtuuukyviJjzFXvMCI7quRYgvsy65FxIKnDjbFUwllBy/Sd5BQdRmQ6Q4YITtGcyapILsuxcAmyK+M2k6Cj1EVZlKVYsRzGTWE5vuNITSY1wpCE0SVSEvpmZMtFYlKcJsakrPjAxA2MXvGaGJxnxZUsfp8djUSiKo2UDziDG4hj+csMV+flZzICyAjiIHqATKzLsVQEljr3MWfr5htjzCE41OL+KU95Cs45HnzwwR3XH3zwQa6//vqzbt+2LW3bHuZLMsaY3V3EAdxFZGe5k78c2QHc+mmah08xfcpJ9NFT5Xodq5kRxrUV2kdPER49XRZlqcLgEFXy4FGvJYffe1Ahtg4XylIsP9PSuZ9ud/PLwVshzg/jBiF2SvLQd46+CWhITPuAc4mNtmESBlo3crJt8ZLYCC0T17Pieo65Oje/dvM3moa1YyMnHu2ZesGL4iTh62bfsJHZukbYmsyn6+zcgKsipXP/ODPzl7v5VuQbYw6Ede4PRtM0POc5z+Hee+/lxS9+MQApJe69915e9apXHeZTG2PMxdtPNn+XQn9y/wMMqx2zE8fwpzfRmMjOMx6b4DanrPz3B2EYYKyjNX0p5GUYyd4hTktXXxXtHSnodjbfCanRWtwLbla6+WNXYjqluK+TdiZCCpnUZLa6Mmln2jWEZiT4yKmuJWhive3o3MCq71nzU1odOeG3aHWgk5H8VMeXbTzMsUd7piuKhEQ3jnSbka3O8egNgZyhqV19tzRpJ9Rifa+F/vJyLIvsGGMulmXuD9Add9zB7bffznOf+1ye97zncffdd7OxsbGYnmOMMVesC4zslB9lR2QHIDx2muN/8im2nn4d/TVrjM6hKdM+9BgrD36R5tQmOFcO5kotYbXcX3IuRf9ivn5CkyuHd1OJ6sSYkVHJXmosR5BImWCzPGknlfiODkKMQvaZMZXZ+UNIpCz4GtWZhIFpDAzJETQyZFcP3o7EibD1jIZnfuFhnnR6SrOZyV555BrPxg2OdAyanEoBT14U+UmW39P5DH3ZsRxrObJTriSL7BhjzAU49OL+JS95CV/4whd44xvfyAMPPMCzn/1s3ve+9511yNYYY65Y+z2Am5Tw6Gn8+gZxdUIOHh1H3FaPiJSSNaYSywFycnUplkNG3R63KbKI7OAd0pfb6cyRgyN7wc1Kwe+70smPQfBbbB+8bUpHf1x085UUMrHJnN7yiMtsdA1NE2n8yLG2zM0/0XR0bmTV96z7jr8IJ7n/6Sd5cr/JWpoSwkBcEVZcTxMjnZQDucvLsQKJoXbxIzsjO/P370IiO+Vn6+YbY/bAYjkH61WvepXFcIwxV4e9FPpndfPrBJ0I/tRmuc288D9z0o7q9hbcmMhOSze/FvcSPTiFYYTRl+J+9OAj2SsyJLJKje8I3gtjV+I7Y0+N6pSRmtnVMZpNievMF2UNM2VoElshMe22s/mdH+n8sCOb/4hbZaWp2fwYWcvbk3Y67cusfB1oiASJS0uxzlyONe/S7z2yY9l8Y8xeSa5/E7rPxzgKrqhpOcYYc6ScK7ZzvsgObM/NX560owoxlnhOVkTyIuKTcy3ycy5teJHy5zprn6gwOjRmcIKkjEYlOS1DahQkap2bXz5ozKM6ZSmWQJ2+E6MjD0oKiWkS1GVSEmbeMw2emJWgkTErE9ew6noGX+I7ySmbqczKX62LshLKsFiKNeBqQR7JxFrgzyM7ke1uvkV2jDHmwllxb4wx+3Wubv45IzvnOIBbH0ekHMTNOp+Lr0gs8/HzqKVzL1oiOyLIWEZoigg5lG6+BA++LMNyTYnquOl8bv5SN39zu5s/79yPnZADxEaJnSP5zGbn2QwJ1yROdS3OJVbbCZ0fmfiBk80WXiMnwxatjhxzM9bmk3bcFkFKVGdVZyiJVZ2Vzr1EOolozjSyfQA3AMNZB3DL+5Py9oz8nYdvy9XtP1lkxxhTWSzHGGPMRTlfNx92FPoH1s0fa0Z/3s1PCaJDBkXGVA/ZZtQJOWjp3CvoqDWbX2bUo+XAbQqgjaCDkF0m9kIKjtgkNntFXKbvPCFEujCyNQYajWw2Tc3mzzjuW4JENn1DqwMr2jPNoWy+xRGINBIZdsnmx6Xu/nI2/8xu/nJk58y5+ZbNN8bM2bQcY4wx+3O+STt7jezMZ+bvocgnpUVxLyktMvuSEqKKxDLVJo+KjHlR8GcvaKNoLfglsl3cj5BdXZwVMrFxpFgK/lkUhpDog2eMineJPjlaNzINnj55Gh2JKJ0OzDQwuBLVGbInyMiqzogILmeSDASJRIRIwkn524y0mKxz/sgObBf5utTFP19sxwp8Y8zVwop7Y4w5THuJ7LCH5VjniuwA4lw5gCvbm3FxZaqOOFdjPALBl0k7TtHGk0VwrSM7JQUltlon7ZSlVynIYqpOmZsvpIYS1XGZOFGyh75N9F1AXC6z8ms3/1g7o9HIWjNd6uaXqM58bv6K9qzqbFHoz7v5i0k7EnE5EyQR6vsQpER3HLJ0ALcW9ksHcCNxkc+Hx+/mxzP++7Bi35irjMVyjDHGHLiD6uazFNmBUtCf0c0nZ7K60s2PdZxmzqBlAZbkXDL6KdUpO4pEX7r5KdflWIJELd38kcVSLDmjm59mjjgIOJiNSu8Ts2ZkNjq8JmbR07qR075lqwkEScySX2TzZy6gkpjqFo2Uw7i9OJwkkvSoJJqcCJJQ8mKqTthlnOZ80g41njN/w86M7JTb2iFcY54oLJZjjDHm8FzglJ1y6Ywi/8xufs6LyA7Umfl1pGZWB5rKBwLnkLGM2UQEokdcOXgrqUZ6Rkf2SuoFHXIZrRlLNz8G0BGSK5Gd5Es3f/4hII5CDomhUeLocK4sxQouMgkjfSoF/5CVVksef5Z9marjlCAjfXasao+TRBStufyRjnExacdJJtUu/jyyU7r0GXIp3A+qyLcC3xhzlFhxb4wxl8seIzuPtxwLdin0VRcz8wHElahOdudejiWqZdKOCtL7EvvxSppP2tkq0Z3UCLEpW3DH7v/f3vsGWXaV572/911r/zk9/xBGSAaEhIhvESc2AklMLFyJqKgsUv4Q3XJkysaAVJRiUojYEVW2ZFwIJQRBBLHKiAjwB8pJhUJFqUwSHLCxuNgJUYoYESpyQL66RCVKWELYZmY00+fsvdda98NaZ/fpnu6Z7plpdc/M+3NNdZ99ztlnz2mNec7Tz/u8uVYz1HlpVnKlcccLoXaEiWdwiSOTCvGRI3XgUNviNfLDNi/H2lN17K+mNDrwguoYXiP73DT35ktgX3HzW+1ZkhlOInvmbj4rbn4tEV2M7IigKdGTozqLTTtbXY5lkR3DOAewWI5hGIbxvLLJyE6+uXo5Vh6mzcdWDeGW4dr5/x7J/LHzyM7czdeF2I4IxJTd/KA57iICyaFDIvaCDjmbLyFvwdWeMnhLPlYJ2pEHdJ0wBAGf6GtHCIpqGt38ae3pQonvlKjOsq+Y+ioP3vo8gLsnzejUUUsgiOIk0kqfM/rEHMcpkZ1KoE+5TnP8iy+8CfPlWBbZMYzzB4vlGIZhGDvDJjvz86E1Ih/Wb9op5xw34IqAK8fmnfkut+2MTTtl8FaGSFLFDTE7+V6JQ3bzZchd+aERQped+xzVyW5+rtEE6clufiPEXogucXRQ1EemdcW08VQu0gdH5QJ7q5rlUNPoMAr+mauYahb8nXMlquNppWcqcVyOFQmEItQDCVeWY8XyVlarPulYLt8wjHMPE/eGYRi7le1YjpVSlqshnHg5VmnboR9yZMfn1h1xDp06cJKXYy007aAwTJXohFBDaBijOtFDrGVclBUmeTnWcl0xbWvU56Yd7yJLTcfeuqPSwAvqZRo3sMd17PfLVBo4UJZiLemsNO2EsXFnvizLkVYvx0pZ6M/78+dNO6cb2QHrzDeMswKL5RiGYRi7ink85rjj6w/hbro33zkIKTftAGgipQilTYfkQeLKoiyfv08l054/ICgSs5tPWmnS0SDE0r4TfR62lSi5fScWN78XYhCCS0wjiEsMQekGR+UiocR3lqvZ6OL33uWvztEnN3bjOxJ7dEYURSUSFtx8JeFIq9x8RIgkc/MN4zzhbInVnC4m7g3DMM4WNnLy4dRF/vzpxdXPwj+36aTylRLBwbk8gDuEfCz4LO69ol0W99p7khdcpYRZ7sEfutK0U0OYFvHfZzff1UKYFTe/U6JPHGs8s7ZCNTKbeLyLPFc3PFfPqHXgaF1T68B+37DXZec+b77NX1vpx958R6Ivy7Hy5tu4IvJJKPP4Tv6wMq/SnOfyFzfgzt38tSI/H1vfzTeRbxjG842Je8MwjLOR7YzsFGc/C/2QH+sUhpCz+c7l+4bctIN3iHeginYh12hWDuc1C/3GZfFea87du4SbCqlk88O8dWfZkXwiNEpsHcElDk3nTTsNk6bFu8ihdkqlgb3VjH1VFvwvqCa5XWehaWe/LqMS2aOzMaqzpLOVpVgpb8GtFoT+8cux5LgB3MXlWCcT+hbZMYxdQkqr///mqZ7jLMDEvWEYxtnOGYrsSCzH5pGd0ps/RnaIpKQLkZ00tuykcg05vpMHcGPtSEPuz49OkUCJ5UiO5bi8HEuCzNM/ZVBXCEMi+USM+cNA1yoxKOoiIQq1D/TR0UVPrQMxKZUG+rQS1Yku5+ljUnr1VDIQouRcPv3YsDN38yvy4G1IibpEdjRlsb8Y2VGUMLYbrXbzy7tUjpmbbxjG84+Je8MwjHOBzUR24IRufpqLzvXc/PmxIOCKfF1o2hHv8+sOOe6TvMP1niRCahxO8+Ctm/fmz3LTjm9yb350gptmwR+a4uY7IUxTdvgbpW8duEQ/8ahLPNf2TOoe7wLPNQ21C+z1M/aV3vwjvqXVnmOuZkk7ahlY0lnuzZd+jO+0Mqy4+UXozwV6xcoG3FjEukoR/LC4Mnh8T0+WzTeRbxjPP1aFaRiGYZy9PF/Z/NK/n+IpZvNdFvmhVpID1+WvQwNxOW+/HWar4zvJQZgpg0sMjc9NOy5wrK3xLrCn7tlbz6g1sL9eptHAfr/MXp+z+blpZyhNO10R9/0o+CsJOBKN5MVftUSqxcjOQjYfVoT+etl8sOVYhrFrsLYcwzAM45zgTLfslHOuiuyk+cZc8nKsGJGg4FM+X0wklxt1CAlxgpRWHQkOCSl/H7Ogl5CbdZJLK8cG0CFn8yUp0ZFbdgYheEeKObIzBEcXHLULDEmpdWBIyixWNNoTkublWM7TpxzV2e+mTFMkqJSlWFnYqyRIjMO3VYnsOIqbD5CyQ68inImmHRP4hmGcLibuDcMwznXWDoGdzgCuyqrlWOMAbojrDuCignhfFmflnvykgnTZzdfKkSqXXfzK5XrMWonFzc+9+SlHdZqy8XYqWdw3jtBmoR8mjsEnuqbiaBPwPvBcW+Nd5K/rjj1VR+t6DlRTGjewz09Z0o5We47E6diVP+/Ln7v4NYFWBlTSugO4dXkrF5t21or8/GZurmnHBnANY3uQuOqXaqd8jrMBE/eGYRjnG+Mw6OYiO/nQGje/NO1s7ObnyA4q+Twq2c135UNAiNnNHxzSZ3Evtc+Rnc5lca+C9ono8wbceWWm9uQ8fgu6WKPpILZKaBzBJ/rOo5o41tY8V/fUfuC5Omfz91dT9vgZjQ5cUB2jksBeN+WI5Jz+PJu/JDOmEiybbxhnOxbLMQzDMM55TibyYZ3YzsJ9ccXNH5t21ovsFHGf1OU2nXluvyzFSrEI/vJ5IIWIhLz9llzIgw6KDlqiOtm51wG0L007pXEnBAi9I1WJGIToIzEKw6B4XxGi4jXSBce08tQaGJKj1oE+OZa041gMBKc4iQRVKhmoJRB0hiPSMoxLs+ZNO2xjZMdEvmEYW8HEvWEYxvnOKQzg5kMrbn6aW1oLTTtJdezMBxAXSEN281E3DuCKc7lGsx+ym+8c+Ozm6yy7+alacfN9q9nNr/Of5IRhMnfzF+I7S/kDRZh4Zk3FzCWmSzWqkUNtS1sNNH7gh80Er3F08yeu54CfjG7+vGlnn05xElmS7OqPbj7FzZeVSs3tHsA1oW8YW8PacgzDMIzzkzPg5sOa3vzi1ifIbn4AXHHzRfIA7lo3PwREdRy2TSEivZJ8HsxNKmijuD5XZkoo8ZwewiwP3upQHP4eYu2IVcoDuJoYesesCvgqMBs83gWW64o9vqH1PctVRSWR/b5myXU02jPVsgVXK1otW3ClQyXS0lOniEqiLQO562XzqxO4+fnN3JqbDyb0DWNT2BIrwzAM47xmI5EPm27a2TCyQ9kJFQDnFqI8JcMfY954K5IjO6rIEPPgbZ+XYiXNTTuxE5JXNGSRr4OUTD7lWPnaQawgDI7oc2Snr5WhcoSgOBfpBsdyVdH4YWzcmUU/ZvN756nm8Z00K1EdpZZAFKWXgaoI+/yXDMSUmE8pzP/iSo7wrB3APdFyrJO17ICJfMMwMibuDcMwjI05w8ux5gO4aX7eEHIHvqxZjjU4RGSM7OBzVEdEYOZJY9NObuZx0+zmh0aJ86jOclmE1eSe/OSFYSlvwQ2tEOqcze8mHlxi2tYcqQPOR37YtlQusq+ZMfE9reu5oD5W3Pzl0c3fpytNO8e5+dJTs9rN71PCFYFfS35Pqi0M4G4U2QFz8w3jRFgsxzAMwzDWsh1uvirELFlXnXWtm58SEiI4JZVjEj0paP5wUNp3NChhHt8JReTP3fz54K3LkR2tIXlBSqd+HJS+cvRVJAyK89nNb6qB1g90weM1sFxVo5s/8yWq4yra2NNqT6+5P78Xl+s0UyCKoLIygFstVnecoE5zvWy+ufmGcQpYW45hGIZhbMAZFPmLy7HG/92cC3qVFZEfIuIUhvnG27IV1ztwisaYYzyDR6p5jaYjekF7JdSSN94O2RTXHrQWYkUR90IYUnb4K6UflN7lbP60HjjmA11wVBrpoudoqJm4nj5lAd8nR6M9bRzonRvd/HlnfkBwKeXO/NKyE4koJYMPOBhbd1ZEPhyXzd/AzTeRbxgGmLg3DMMwTpUzENlZtRxrGE6wHEtI0eXnLS7H6nP7jrhcnSndkKM8TkgzT3JCrByx0rwgqynLsRol1NnND21p15kIscqCP0yUpGU5Vl2xXCWOtQ3qctPO3M3f30zxEjhQT9lTojoXVMdQEgf8MVrJbv4enaHEIvg3Xo7VLzbtIEX8Z6EfCCds2oHVAt6adgxjBYvlGIZhGMZWOANuPhRzesHNh+LopzxIi84z6Xk5lrhSt+kTEuZufo7vkNLYuCOhbM2NuX1HQmnT8YJEIWlCQs7mx2olviNRiZ0Qq8QQBFwiBmVaBY5VA33UFTff5y24i27+kpuNbr4Wr74qg7dBZ8e5+XVx6auF3vyVDn1ZyC5trjff3HzDKFhbjmEYhmGcAqfg5m8o8gEJYTzvuBxrLvJFSVFyR/58OZaL+Tmah3IRQSqP+JLDH3KkJ9aKq3JfvuuzSz/0QqhKq06Xxf3QCbHO4j7082PKUEe6ytP3Huci09bTlhrNaaioNbAcaybaMXE90+SL4M95/FZ7ehwVgU576hTy/SWTP2bz1y7H2qLIt8iOYZx/mLg3DMMwtodNLsdajOxAyGJ/MbJTziWSM/qLy7HGyE6Iq5dj6cpyLPohN+2oIlUABa09yWc3P0wdScE3Sqg1R3Wa3LTj27mbnxt2koNhIiTviLVn2lbgI9NJjfOBqgrsbWd5KVYzpXU9S75nf7WHWgcO+GUaGVhys3EpVm7cGcYIjyOefDnWQmQHTr4cyyI7xvmOxXLOAE888QT/4l/8C7785S/z9NNP85KXvIRf+qVf4j3veQ91XW/XyxqGYRi7kZMtx1oQlSmm1W6+lDjNqFnX9OYnzcuxkuR6GZc/MIxuPqx8P/8aGd18UunNjyBDyg06UXNUJyrap9VRnSDEGmIPISjRKyEIoXIMdSBGwbnIEJXWDxzzPV101BoYYh68PRZrep/jOyHp6ObvYVYiO0pNKP8nJ3bzgdV1QxbZMYzjsLac0+fb3/42MUY+8YlP8Df+xt/g0Ucf5ZZbbuHo0aN8+MMf3q6XNQzDMHYzm9yAu+4A7jyys7ZpZ2zUodRiLgzgLm7AdS5/MCi/AUAVcYr0HkSItRvdfJ1l4e+6lIdsveBmeTlWmOVcfqyFYVY247ZCrBOpdizPHOISs9ZTVYGmGjjW1FQucKyuaN3AxOUtuF4jx9wyrfYs6YypVtQSxiVZrfS00qMSqVN28buUqCU37eQtuCuRHYC1dZoni+zk29aZbxjnCtsm7t/4xjfyxje+cbx9+eWX89hjj3H//febuDcMwzjfOaVs/sLxeWxn7QDugtCX+QcEF0mljWdcjuV9HroVye07Iri+RHVU0T4vxXJ1rtOMleJmJZvfSjkGbiKlVadEd+pEaJXkEv3E0fvEch042jY4FzncttR+YKnq+etqQu0CB6plGh3Y62bsdTMqHTjglqlLVGdJV4R+JQOVhHEpVkvAkdCUHX3Iy7Hmnflw8siOCX3jfMBiOdvEoUOHeOELX/h8vqRhGIax29lk086qAdz5fWsHcBeWY6W5Ox9CjuzM23ooCZZQ3Pzy2iklZFDEO1IqrToxIV7RISHzpp2o2bnvs0bOrTpZ7GsvaCgOf3DZzR+ELgriEjEKVeXpBs8QFa8lvuMGZt6PTTsxae7Nl56A4ojsc8u4VNFKTyxuPjBm81c+MJ1+ZCffttiOcQ4RU/5zuuc4C3jexP3jjz/ORz/60RO69rPZjNlsNt4+fPjw83FphmEYxm5gk25+iivCcsPO/Lmbv3YAdx7ZKdtuGQIy5PtzP37eeEvlERFS5VGvJCfoLDfthMYRKyF5Gd181+ZB3FhnZz85IbRkN7+R4ubDrHXMqsRyEzja1DgXea6taVxgqerYX0/xEnlBtczEdSy5jiNxSiWBo7GhLYJ/sTc/i/tAKytu/nzw9lQ7861pxzDOXrYs7m+//XY+9KEPnfAx3/rWt3jVq1413n7qqad44xvfyI033sgtt9yy4fPuvvtu7rrrrq1ekmEYhnGusUU3P9/coE5z7QBuIAv5cp5V2fxhg2y+d8iQj0lfsvnVQnynSyWqs342PzRSFmblWs1YO5ZbBy4xm3i8jzTVwOGmpXKB5+pcq7nHdeyrsrg/4JdptGdJO/bpMk4S07SMkzhm8x2JfmE51mI2H1YiO3B8Nn89oW+RHeOcwQZqN+bd7343N9100wkfc/nll4/ff+973+MNb3gD11xzDZ/85CdP+Lw77riD2267bbx9+PBhLrnkkq1eomEYhnGucErLsdYX+aObP4/slDvGM6dEUpdrN2PMoj6l/PgYkeL2a0qkoKRBISRwgsSSzR/mTTs5yh8rCH1emjU27VQQeyGEvHyrj8JQRYbKEZLgNRKi0viBqa/ok1JJJCah0YGZq+jdvGlHqCW36wRR3CjKIxHJAp5U1mfBPLLjRIBEKNl8FclOPhFFcxuPRXaMcwjhDGTuz8iVbD9bFvcXXnghF1544aYe+9RTT/GGN7yBK6+8kk996lOonvgffNM0NE2z1UsyDMMwznVOZwC3RHZgzQbc4sqn4uzn5Vg52pLmHflD6cdXBV+Olc58vEMrlwdwG0dySvI5tpNU8GXwNlSSozoKfhy8zV36yecB3Fgl+ibSL1eIixxtG7wPtHXPvmaC08iBekLrBvb4jv0+D+Ee8C2VBJZ0Ng7eHtXjm3bmg7dVqdOcD+AuNu30QCW6pchOvm1uvmHsJrYtc//UU09x7bXXcumll/LhD3+YZ599drzv4osv3q6XNQzDMM51zkRkZ202f+7mz+s0F14rSR7Gncd7JPgxr8/gEKek4PI5Kpe78gW0d7llxwuuz0uxQg+hAlfEffSCdpQPBUKY5aadrnN0PjJrKqZdNW7BrV1gT9VxpGqodeC5qhmbdva5HN/Z55ZLBn/jbP6im59F/5wS0bFsvnGukdJqk+BUz3EWsG3i/ktf+hKPP/44jz/+OC972ctW3ZfOkjfHMAzD2MWcTmQHVsd2FkQ+IYy+dHbzcw4/9TGL/JRyqH4e2xkEQszO/hDRkteXBDpEotcS1RE0CM4LoRd0SPk0IefxpRdkKEI/CKlSQq8sD4r6SIxK5QLT2tMHR+XKUqzStDOLnkYH+pQXZe3R2bgAK1IWZdEvHMsivyYSACeL7ykr+eKFpp3FyE4+Ei2yY5wV7GQV5sc+9jHuuecenn76aV796lfz0Y9+lNe97nXrPvZ3fud3+Lf/9t/y6KOPAnDllVfygQ98YMPHr8e2ifubbrrppNl8wzAMwzhtTiGyk2+u07RTzjV36cemnVAWYc2XYw1DFvqlK3/emy+qpC7Hd6Tz2c33iqtzVCc2K735oRWSCkNLHrat88BtcjBMhOQhNEpoHdEljk4q8BHXBA43Ld5F9raz0c3fX03xGnhhfYxKwrpu/h6djX358wHcVgYqiejCcqyeNA7hVsyFvKBF3cRUOvTRVU4+5ejKdxbZMc5vHnjgAW677TY+/vGPc/DgQe69916uv/56HnvsMV784hcf9/ivfOUr/MIv/ALXXHMNbdvyoQ99iJ/5mZ/hz/7sz3jpS1+6qdeUtItt9MOHD3PgwAGu5R/ipTr5EwzDMAxjznqOPoxu/spNOf6+cmx08+fnUx1FPqJlEdaKyMe5MZufqiz4k3OkyoErW3A1f411rscc2ly1GWoYmjXivobQUrL5iVglUp2QNiA+0rR9zuZXA/uaGZUG9tdTWtez13fs8/OmnSz49+mUVrO436MzKgKt9tQEKglUEsfe/IqEK1358yHc/P28ZSd/DyuRHbfwnusJRP4iJvLPfg4fiVzwf32HQ4cOsX///p2+nFXMteRPv+F9eN+e1rmGYcp//X/et6W/58GDB7n66qu57777AIgxcskll/Cud72L22+//aTPDyFwwQUXcN999/HWt751U6/5vC6xMgzDMIznjY1iOxtGdmTlvhNFdkQgKSIpP16UlHQlspNSieWklQHcksmXIZK8IiGhIUd15k06Oig65MSPBEgetJkvxRJkmNdoJuIgRJ+YBkF9oq8H+sFR+UBfojrTasYseBqXozqt9vTOsZS6cVFWJYEel918Ai3ZzQ8IoQzfViSikOM4rAzgOmTdyA6sLMdaG9mBjd18E/nGdiIp5X+Tp3kOOH4P00aFMF3X8fWvf5077rhjPKaqXHfddTz88MObes1jx47R9/2WlsCauDcMwzDObTaK7aTVcZKTLseaR3ZOtBxrKG4+5KjOfDnWmqYd9dnNT07QOi/HirUS6uLit5q78ktH/tzNj2XwNjYQfSJM8vKsaVMxbWrUR460Ld4HJnXPnrqj1sCBZplaA/urKXvcrDTtHCtNO1128U/k5qcFN3/D5VhF2C8M4AbCcW7+Rtl8i+wYZwtra9rvvPNO3ve+9x33uB/84AeEELjoootWHb/ooov49re/vanX+vVf/3Ve8pKXcN111236+kzcG4ZhGOcPJxvC3aybD2MX/oZuPjmXT4yjiz//mmJEYsw1myGRnCDBIUMW/BIX3Px5Jf/8WC+EgfKcUqfZOWJf3PwygNs3jlnv8S7QRUetgWnw7Ksqah3GAdx9bspMKyoZ6J3PefyUazTnlZrzOs1FN7+HIvY3dvMX37C1vflWp2k8r0TG/yRP6xzAd7/73VWxnO2qcf/gBz/IZz7zGb7yla/QtpuPFJm4NwzDMM4/thjZyYfWqdNcdPPntZlFiUuJ6uQh3Ny6I/ONtzHCEEhOkXmd5hBzbEdljO9on3Bdqcwcsksfuvwn+tKu4wRtIPQ5wx+KyJ91jqH1qEaG4PAusDxUHKtrag10jcdLZNlX7PUzGhnoUxb3Szpjj3ZUMhBUcCkRpaeSgEuJRgJOErH05a8X2YmkVRtwNxL5cPKmHRP4xulyJmM5+/fv31Tm/kUvehHOOZ555plVx5955pmT1sJ/+MMf5oMf/CB/9Ed/xE/+5E9u6TpN3BuGYRjnL5uM7Ky7HAvWz+YvLscqw7jiNrkcy7m8Bbcsx0qVEus8jBsaR3RCrIXQKNGlvBzL5c78laYdR3KJ0DhC64k+cXiSl2MdaQaaZkLlAj9s89c9vmNvlaM6L6iOjb35Sy436+xzUxyRpdK04ySyRzpUIjUxN+2QaCXCuBwr12XOl2O5Ets51eVYYc3Pw8S+cTZQ1zVXXnklDz30EDfccAOQB2ofeughbr311g2f96/+1b/iX/7Lf8kf/MEfcNVVV235dU3cG4ZhGAZsObID67j5i5Gd+TlFSBR3n5DPkxJJHWiO5+Bc6c9PpJDjO6JKiorERFKBCOqEGHQcwpWoJb6T/0QvJb6TXf38OCEESF7pByUMDuciQ+nNn9WeafC0bqBPSqOBmfcci3Uewi1ufleGcmsJBFFqCfQy0DLgFkR5JK5y83PmPkHijLr5+Xkm8o1NkoDTM+5P6fm33XYbb3vb27jqqqt43etex7333svRo0e5+eabAXjrW9/KS1/6Uu6++24APvShD/He976XT3/601x22WU8/fTTAOzdu5e9e/du6jVN3BuGYRjGIptx8zdajrU4gLu4ATelrAucA0pnvsvPTWXbrTjNIr/06o9ufp9dfAn5NwGxU7RUamqfhX9ohNAJ0YHrSm9+I4RZcfPnkZ1WicX1D4MiLjFteo7WFbXPsZ3KBY5WNXt8R6MD06oqXflTlnRGJYHOuTGP35dM/h66shxroWlHoE95A24sb2V1hkW+CXxjU+zQhto3velNPPvss7z3ve/l6aef5oorruCLX/ziOGT75JNPorry3/D9999P13X8o3/0j1adZ6Oh3fUwcW8YhmEYG3GybD5svBxrvWx+ieqkIviBnM2H1cux5tn8Psd2RITU51YdqRxa5WpNN5v35iuhydWaw0TG3vzQ5GpNvywrgr8pHfrLeTnWsbZiuQlj047TvBxrqepp3MD+aonGDezzU/auadpZWYoVOFYad+a384KssgW3LMlyAvP9vxWyKrIDeTmWRXaMc41bb711wxjOV77ylVW3n3jiidN+PRP3hmEYhnEyNhnZyTfXuPmiUI4lXT+yA6VkRhQ0kQZyZEd1VW9+cjmmM2/Y0RjLMTfGdyRpHrYNpU3H5edGJyW+k4W+xNyfH4MQByG4xHIUVBMhKl3tqf3AEJXaBWbBM6tyw06fXO7I97kjv9WegJSojh+34AKjm19JJKa00qaT0qrIzsqbYG6+ceaRlP+c7jnOBkzcG4ZhGMZmOZ3IDkBcP7KTHx8XNuDmbH5SAXXZsY++xHlyfCe7+D7/JsCXIVyvaJfrNEOjxEpJHlxXojhNdvSTF4ZZFvlxutKlHzplcIlh5pg2Fc5FjrU13kX2NjMOVy21DlxQL+M18Fxo2OtmtNqz103XuPm5Nz87+P3YmV+liJNEWOjMr8tbqSmVzvzjIzv5zVxf5Odj67v5JvQNYMdiOTuBiXvDMAzDOBU2KfTXjexstBxrns2fL8dazOaHLPhXZfOHHN+ZZ/MRQWoPTtCZI9X5A4LOHCgMrRKrXJXppiWP3wqxyXn9MM11m7FRYuMJPtFPPOISR9uaphqofMjxHYnsr6fs8zMaN/ACf4xKA3vdlCXNW3D36zKVBFrtRoHfSr+yFKsI/b5EdtYux3JrlmPNhf7icqyTufkm9I3zDRP3hmEYhnG6lOjM8cfX783faDnWGNlZWI616qyaSClXTsr89SQ37sydfwWSCBoSKSjJKT4xNu7EOvfmz2M5EhJhHtVJQsrzvchQFmQlT9LENAhD7fBVIEShcpGQlGmoaF1PSDl603vHzFU02hOTZDc/OXrNrTtRtCzF6rNLTwIJ9CkvxYqlaaeW0pW/ajnWinMfxqiUtewYJ0fiqjGOUz7H2YCJe8MwDMM4E2zk5MOm3fw0F50Lbn6an3fR4Xd52RUhP1ecIt7n1+2H/DzvwOemHe1WBnBjpWNsJ38VQhH8w3Ku2PTLUoZxhVAc/tA6+ibSu8RsqUI18Vzb0FQ9bTVwuG6pXWB/NWGPz4O3F1R58Havm47Z/KlOcRJZkhm1hLwZV4bSrhOpStNOHAdvV5ZjxSLY5535+X3Z2gAumMg/L7FYjmEYhmEYp8xmhP4m3fwxmz9/eonvrMrmJ81Cv2TzkbINd8hLsSS40r6Tm3aSE3QodZqd4qoc13GlTjPMWMnmd3Nxv0E2v655zocxm3+kaZj4ntb1HKlzRn+/n7LkOhrJTTuOyL4i+LeSzV9cjrVW6J/uciwT+sa5gol7wzAMw9hOzlBkZxT5qhCLXE2KSMqPdw7SwsKs5CCm3Jgzb9yJEWJp4Yl5sFcGR6wTsZe8FEsFDfNWnQQxC3oJIL2QqnxdyUEMQugjoVJSFNRFhqBMa0/jaobkqHVgiI5lVzNxXWnOCQR0dPMjSiUDAaEiUKdAKwNKWunMXy+yA7lpZ3x7T71px9z8c5wdWmK1E5i4NwzDMIztZu2v87djADeU5Vg65HiP01KtKcgQVpZizXIO33XZ4dfKkYqbH6euLMVyZfBWGNqSw2+FWOctuH5SHP7WEWslVolh4kku0bU1R+qA94HDbYN3kX3NbHTzL6iXqTSwz+fB21Z7DrhjqKRVA7h7pMvZ/JMM4NaS318Fa9oxNkRSylugT/McZwMm7g3DMAzj+WaLbn4+tP5yrDGyk1KJ7Cy4+UXcp7lLH0Ju2nE5xpPmMZ4hIk6QoRzrI6nS3I3fO5ID1yuhzttvh56c1+8g1JLjO30iKYROCLUj+MjQe1Qj04mn8YHGDxwbamoN7K9rJq5n4nqO+ZpKwjiI28aOqXbHZfNbGVaE/kI2P0d2Ti2bD+bmG+cWJu4NwzAMYyc42WIs2NRyrHlv/uJyrNUiX8YITlKX3ccg4FOOAMUErlRqhpRFfkzE4FDNrTpJcyxH+xzVkaAkl/KxTogVZWEWSNAc86mUEPJyrBiVrhqYVp6QBCeJLjqWfEfrcmzHa6BPjiXtaLSmT9Mc1VEdN98GVRyRlhzhcSTyrzWgKpGdUeTDKUV2rGXnHMUGag3DMAzDeF7YQmQnH5o/PmRxDivLscr5RPKSrKQ6duYDiAukIbv5uSNfEFXElY78ymfn3jnUl8HbWT7mpm50832b3fzQKKFKOb4zyXWbfiLFzYdhUgZwJ45ZXTHzkeVJg2rk8KQZ3fz9zbS4+cujm3/A54jOAbec3Xzp2KPdKPRXufkkGgk4SWM+f21n/mYHcGG1gLfIzjlCYvx8d1rnOAswcW8YhmEYu4mNHP3NbME9gZuPzIdtj3fzxyHb+QcDn3vzRXI3vihIiKTBoU7RkHJkZ0i4ks3XULL5A7i6uPlDFvc6KLEiu/mDElwiBGXqA1UV6IKjcoFp8LRuYMl3dLXHS2DqK1rtWdKOqZtSy8CS5qhOKz19adwJyBjZGYdw17j5AFUqDv062XwbwDXOBUzcG4ZhGMZuZAuxnRTT6pYdyG7+aEyviewEslsfyBtwVfLxuaBPKT+nfJ+rNRNpiCTN1ZqqQhwc0Qux0hzV0dzOE7uczZ+LewnZyQ81hMGRXCIGIXrHUEdCUJyLdIOn8QOTqqaLDq+RWfRMXBb3fXJUEuicp5WOTh1BBZeqUeRXBFoCbqFpR8kLshzAaUR28m3bgHs2YgO1hmEYhmHsDja5HCvF1cJSNM7j6KuWY80HcDdcjgXFfneILDTtdH1u21GFzuctuI0jOSV5JS7nph3f6ti0E45JXoTVQqiEWAmhxHeGpSzuY52YTTxoYro04HzEV4EfthO8C+yvl2h8dvMPVMtUEnlBdWx08/e6aenNXx7d/Fb6sWmnJq4awK3G5Vgrw7bVGejMB3PzdzWJM5C5PyNXsu2YuDcMwzCMs4VTcfMX71vPzS/nW2Vkl9datTAr+exclq25IoKkRHJCcg6JqbTvrLj5GrK41yBoBbGiHAOJQvQQF9z8EPPA7lCHBTff0VYDR31NFxbd/I6J65nGikoH+uRoNQv7JZ3hJBJF6YubX6eISlpw9RmF/vwvPm/a2Wqdprn5xm7CxL1hGIZhnG1sUuSvrtIssZ3FznyVVcuxUphb/fMNuLJa5A+SHf2yDZchZDffBVLZgqt9JFa5Sz/0WrbhKs6X3vw+79ca+pzLj7WgpVpTeiHWiVQrXa/gEkPvWK4CTTUwGzyVC3TB0/qePa5jVvlco+lzjeaSdnTJ5e22qrji4M/78qMIKomKSCQyLxYFqEWARFhH5CtKGN/3zYl8MDd/12BtOYZhGIZh7Ho2Gdk5Y8uxnFsV2cE5pC/tO5UfG3dEFbyiMweal2NFl+M6vs1bcIdWisOfF2QlR16O5fOyrKHNW3CHJU/vI8t15GjboC5yqG2pfWBS9eyrZ9Q6cKCalqadbmza2eum4xbcPTobm3YqCdSULbiSTrocyyHrduYHAq6872sjO/mYNe3sGiKs89lr6+c4CzBxbxiGYRjnAluM7OSbsiqyA0W3Lrj5xCJZkyKlYee4yI4rsnce2VGFoOh8WVdMiFe01zyY6wSJWsS9ICG7+WNUp1/pzR+CkiohNkofBFwiBsVXgVnl6UvTzhAdtRvY41cGb/vkspufVo4tivx5w04rA1oGcOs1bv58CHfRzQ+ETS/HMjffeL4xcW8YhmEY5xKn4OafVOSX847LseYiv2y5JcS8/VYEGRw4zR8MhrwcSwcPTkhekcGDls23Rdy7TokOXCdl8BaGrtRodvkxsU6EWT7Wd0pfJWZ1YNZ7nIssNxW1CyxVHUfrvAV3uapptGevn7HXTakkMNWKSgb2aEerHRWBTnvqFPIHgjJ42260HCsVB3+TTTsW2dkdWFuOYRiGYRhnP6eUzV8nsrOYzV+zHCs7/IEUXX6eOsTl+8VnIS/9QHKaF2ZVAZygnSc5IXrFNXlhVqhL004lDMslm99SxL0Qmuzsh0lx+BvHcuPBJ5YnNc5FmqbnUNNSaeSHzYRaB/ZWM/b7GV4DF/hjVBLY56YsFRd/cTlWq33egitDbtkpkZ0zuRzLBnB3AMvcG4ZhGIZxznAmIzusbto5LrIDpJQ3X83bdfAJicXNTyk7+yW+I15XmnaCIw5K7AWJUtp3coNOWIjqSBBSRV6IFSQ37QQhVLkzf960E5JQaWQaKrraU+tATEJT2nV6l6M6Ec2uvXhi8dtR6FOiktyb3wMQsqBfcPNHnb6F3nxz843txMS9YRiGYZwvnMkBXJUcxSnnHZdjzZ+nkt38xeVYziGhHOtzu454h/T5WOwcySupUkKXe/NdV7ryayFMyfGduXNfyziMGyZK9InYeI61HnGJ2aTC+0BTNTzXNFQu8FzdULvAPj9jv1/Ga+SAa0tv/oyjWlNLYJqqVVtwVWLO6JPGznwFAqsjO/P3L7M5kZ9vm5u/rZhzbxiGYRjGOc0ZyOYfF9mhLMfaSja/1yz0RXC9z+LeK9LlSI+bKbHKw7ehKQ06s7IkqwbX5O23w1RIXghNIhTB300dnY9Mm8CxJsd2jrRZ3O+pOvbVE2oNHKnbHN9xM/aVbP5eN6WWgSWdsUdnOFLuz1+I7CwK/ZXIDmPF5toBXFuOtYOYuD+zzGYzDh48yDe/+U2+8Y1vcMUVVzwfL2sYhmEYxmbYYjZ/U5GdxQFcSZBya05KuhLZCcXNX1yONRQ3v7TqED3SR7RSJObXyU07oANj0w4xi3wZpMR3EiEq0StxULqgiIvEqHgf6IKji45aA0NSag10lR9bdQJCJYEuefrkqWTIxwgE1XEAd+7mByIVaVVk51QGcPMjTrwcy0S+cSKeF3H/a7/2a7zkJS/hm9/85vPxcoZhGIZhnAqbcfNPdwA35OVYaSj9+OqQYfUALqpQ+bwFtwzgpsrl3nwRwnSlaWdo89bdYVnHjbc5qiMMkyz4QyOE0ps/nZQB3CbwXNPjfeBw19CUpp399ZRaB15QtTTFzV9yM1oZ2Odyf34bc2++EkdXv5IwDuDWEsfB2/nXqgj1U3HzLbJzBrCe+zPHF77wBf7wD/+QBx98kC984Qvb/XKGYRiGYZwJNnLzt1qnyTpufgBxbsXNj7KSzdc8eCsxjscQQfqczU+qSIn5xNqhfSI6wfWpRHUE7bKb77rSrtMIYSoknwgznwd0W2W5cYiPzNqczW/rmufq47P5e/yMRgcOuJZKB/bpdN1sfiXDOIAL0BJWZfMhL8eaZ/PXbsEd37D8pgGWzT9TWBXmGeKZZ57hlltu4XOf+xxLS0vb+VKGYRiGYWwH2xHZUSWFsDqyI7lBJ6kDjfmxWuI7qqQYs0ATIcWYc/kxx3icE4boUCfoIOiQe/MlQPKUYxB9XpgVPcTBEYbcvd8FpfeRYXDjUqwQlcoFusoxi45GA7HKUZ3eeXo3j+oolQx04milp5ZALAO4UFx7iQu/FcmRnbzZNkEqy64WRL6iOdqzhcgOWGzHyGybuE8pcdNNN/GOd7yDq666iieeeOKkz5nNZsxms/H24cOHt+vyDMMwDMPYCpscwE1xRVhuKbJDcfM15MdqcfMHl+M5zkE/5GMlsoN3aJXdfJ250c2PtRKd4EsUJ9TC0JSNt5Mc2QkthMaRXGKYOJJPdK2na2rERY5OepyLLDUT9tQdlQscKAO4+6ope11x8/3yOIDbSkctgX1uOS/Ckp62CP1WwuqmnZSopHTmi6DrbMA93QFcMKE/YgO1G3P77bfzoQ996ISP+da3vsUf/uEfcuTIEe64445Nn/vuu+/mrrvu2uolGYZhGIbxfHI6y7Hmbv5aoT938wPZsXc6vlYezE2r3fzi4EuIiAop+hzZGWLefquChvK1EbTPol6HXKepneCa7OZrn7+GmRBbJfnErFfEJ/rOs9xUOI0st9UY2dnrZzRu4FisqSRwwNcsaUejPV1yOEns0dkY1+mlL4I/N+0oaWzVyaIf+k1k8xfdfLDe/E0TE8hpivN4doh7SWlrH0OeffZZ/vIv//KEj7n88sv5+Z//ef7Tf/pPK2urgRACzjne/OY387u/+7vHPW895/6SSy7hWv4hXqqtXKZhGIZhGM8X64n88T5dc1OOP16OzUX+fPgWWBH5zoHmLbjic0c+quDzkG2qPDgtPfn5/ljnwdtQKbHWPGQ7H7ZthNCw4uZ7CDWENuVqzUkCl0hNRNsBdYl20uE1stR07K2ym/+CeplGh9HNz0I/b8HdozOWdEYtgSWZ4SQWsR+oiaPIHwdwBeZqpxLJLTtQIjuUrbgrLTvj28fq93g9kT9nO0T+4SORC/6v73Do0CH2799/xs9/Ohw+fJgDBw5w3St/Fe+a0zrXEGb80f937678ey6yZef+wgsv5MILLzzp4377t3+b97///ePt733ve1x//fU88MADHDx4cN3nNE1D05zeG28YhmEYxvPMKS3HCitCfzG2U8419uZHVx4TERlWL8eS4vCLIH0W96JK8rlDX4rId5UjVkpyimuyyK9qJTR5QdbQZpEfGgitEB34SVmO1SqhcQSfeG7iwSWea1p+2PR4F/lhO6FygX31bHTzD1RLReQvj27+Pl0+zs1v17r5aUXo5+VY+b1Y7eaXYdxUhD9qkZ3NYLGc0+flL3/5qtt79+4F4JWvfCUve9nLtutlDcMwDMPYSTYZ2ck3NzGEG0J26EMgOQchrchV50gpZpE/f+68aUcVQsyLsoaIDg6cINHnbP6Qh3GTEzRkka+D5PYdTzkG0uf2neilDOAmhl4JvaI+MQTFu8h08Bytaho3MAser4HlULPHz2i1Z+YqKglMtWKPzkZnX4l02tOShX4krI7syMp7umFv/il05sP5Ftk5A+Ke81zcG4ZhGIZxHrPJzvx88yQif2EDbn58yd7PN+CKroh8pzlUL7Ii8l1Aos/XEVIW+YNDhzy4K8GBQuiVUOf6zGEokZ1eiH0W+vPGndgJsVeCSywHQV2iHxyz2lP7QB8dlQa62rMcKho30Pt8bK/zTFNFK/24MCui9DJfnrVa5OcFWWkU+YEs8qv52yuMuXwT+QY8j+L+sssuY4vxfsMwDMMwzgU2EvqLkR020bSzGNk50XIsV7bgzpdjLTTtaJ9FvlQefHHuZ9nNd6VpJznyciwnhDqtadqZL8Uiu/jHcu3mcuuZNg3iI4fbFucie5qOSdXTuIEXNEt4ibygWmbiOpZcx143pZLAPp3Sam7Wmbv5rfbU5C24rQRI5CVZC4If5jn8zUV2KEdXvjuPIjsWyzEMwzAMw9gGThbb2UpkZ4zfhNKoM+/Nj8XNLyJ/LuxExqYdYoRYKjUj2c0PCQ2lhjMCCjro2LAjMbv5a3vzk4MwOGKvRJ+YBkFcYihufrXo5kfHHt+VLbg5qtN7RxsHGs1uvkpkDzmb71IilC24ASGUKs25mx9S7s0/WWQHVhz9tW4+bCz0zxmRHxOnHas5S9pyTNwbhmEYhvH8c7INuKcS2RlrM4uXXcR9ipLz9ypjhl9ihLLpVudbcCtHKjWaMqTs6vcJV0muzByKq9+Bm2VxP/S5aUc7ITQpC/1eiC4xbR1941EXmPUe7wLToWKp6mhdTxc9tQ7MomfJdTSS4zuOSO/8OHgbkLE3v5JARRxFfkUibiDy83KsNLbuLHwqGt/uk8V2zjmRfx5g4t4wDMMwjJ3jTEV21izHmm+1RbVUbJblWPNqzcEhmtt16If8G4A+H8Mp2uXfBqTGEX2u2HTT7Or7VomVEH1iWF6I6jQ5rx+WHdElQuuItSdUkX5SIS7xXDPQNH1u2Gnmy7GWWfIdjQZeUB0bm3aaEtXZ56Y4IkulaaeWsHo5VkpjZIdtWo4V1vw8zjqxn+Jx/02d0jnOAkzcG4ZhGIaxO3geIzvjeTRmCSsxP8c5UsjxHVElpYQUcS8h9+ZLTLla04PEnLmXADJQ7qe08EDoIXlHiEJyiS4IYXA4H4gxN+30wY1u/pCUWgf65EY3P6C4MmLbi89uvgouJWJx8/ukNBJwkgX+id18gfkirPNlCNcy94ZhGIZhGDvEySI7sPEG3I0GcFPKUtU5IOYBXJc79FMIK007rrj3IUd16B3iXd5+2+TefK3KgiwnaJdIKoRWCFV27rUrOfyZjO072uUPA2GqhCYSvGfoHOISy21FU9XUPnBsqPEaOVJN2eM7Jq4bt+DOW3Za7ZmmalyOVUtYie8UF3/emV8J9ClvwI1SxmkTZ1zkG7sHE/eGYRiGYexOTmk51oLQn7v5i0K/OPqpCH4gZ/MpC7Pm2fyhdOb3eQuuiJDmi7K8omVBlja5Pz9MF7bgzpSkMLQQKwiVEJbLFtwS38lbcB3JJY62nmN1g/OR5yYNXiM/bCZMqp6J79lfTcsW3CWWdG3TznKO6Wh//BbctGYLbkplC+7Kcqye0riz0LRzupGdXYkN1BqGYRiGYewiNhnZyTfnsZ2F4dxyLGkR+PNzipCYb8QN+XEqJHU5sqO60rQDObITHBLywK1L2bknODQkopO8L8nlyE6oQD1jVCfHd7K4pxwLQUhDZPCR5SSoRkISZoNn2VcMUfEa6ZOy7CqOxXrsyO+dY0k7uuQIqjiJBFFqCfQy0DKU3nyhkkhMaaVNJ+Vcfr7gcixvA2N8s9i6m78rsViOYRiGYRjGLmQzA7jHZfMX7ovrDODOIzvzzvy1A7hDyG5+jPm+Et9BBenz8K52jjQfvJ3FLNobJVZ5+NbPcoNOaIRQQ6wEN82RnTgO4zri1BF8Yph5jlURXw0cbWq8ixxpGia+Z8l3HKlavAZeUC1n115X3Pz9upz78bXLdZoklnS2MnibIk5KnSYJBeryVi4O4K4V+fnNPF7kx9N1xI0ziol7wzAMwzDOTnZzNl8kC/5KiU4JrR6XzQ9t7s8PrRDnm3GnJZvfKrFOzLynm1SoSxxrK2ofaKqBQ82MSgOH6gl7XMfE9ez3y1QaeM61C007yzgS01RRyVCWYuX+/FbCmM3vx8gO9OTh26q48vPIzuIW3OOXY+1yEmfAuT8jV7LtmLg3DMMwDOPs5mSRHdh0084Y2SnnS6q5G3+OJlKKkNL4YWC+HCvFHOOR0revKZGGnNGXVPrzo6K1EJ0gUXJUJyZiL8QKSJKvI0DsJFduJiFoYhqh95GudoSoeBcIUZn6itb3uTFHB0LS0c1fadqRsUIziqISCfTUxA0jO/Pvq01GdnY1FssxDMMwDMM4yzgDA7hpbs8uuPlJdfUxp+MCLEJ+rniHOFdc/GHVAG7yis7yAK6rXa7RdLkvP6kwtEXEe2Foc15/mAixzouyQunSHyaOvor0Vc10MqCaeG7SUPuBthr4YT2hdoH91ZSJ69njZxzwOaJzJLZj084+neIkrmraaSVn8yvJQ7h9WZAFlG24K535wLgcKyYIZ4fmPW8wcW8YhmEYxrnHZoT+SbL5sM4WXFi9HMuVQd0UYZ7Jn2+8nXftO0UGn69j8KhXote88VYF7V0W95WgfRby2uemnVgJoROiyxWbsXLEKhE7ZXCJo51juQ4c9YHltsK7yNGmpnHDmM1v3MA+Px3d/KOuOaPZ/P5scO5jhNO9zngW/D0xcW8YhmEYxrlOic4cf/wUIzuqEPMY6aqzljjOqsiOKhLzMizmUZ2guF6JwZGcllhOHr6VIGOrTqyEUKVyDCSWAdxaCCGRXCIGIXS5dz9GwbnEEJSmGkrTjqN2A310NDow9bOxaSc6oZLAnoWmHSJ58y19Fu8kAjG7+qzUSdZSFmKllP9uux2L5RiGYRiGYZxDrBVmJ2ja2WgAN8maeI7IirANYcHNL/0xTscB3FWRHc0tPK7Lbn6sPa64+b7Obr5vHNHnQduhKbGcdkXcDxPJA7qTVBp5EsPE07vEbFKhVaSqAoeaFu8iB9rp6OYfqKZUGniBn9DowJKbsU9z084enY1u/h7pstAvA7iLbv58AFfJA7jG7sHEvWEYhmEY5x9nyM0fIzuqEMIa5z6WDwuLC7PKAO48t+8UjZHkHM4JafDZuR+KaO8F7TVHdQbNLTtVju0kJwzDgps/JJJC6LPjH+pI3zuci8x6T1MNLFU9x+qaWgeW64paB/a6Gcd8juoc8MeyuI8dU+2oZGCPznCkcTmWS4lGAq7EdaZng6Ntzr1hGIZhGMY5zhls2VmVyx/jOYpIgrSY109F2Av4HLkhRHChfEBIiBMkJGRQtBPi4IrgzyLeeRiCkDSN8Z3YleVYZXlW9KkIfiG4RAzKzHumtWcWHJVGuuhpXc+yr1aWYiVXsvkVseyljSiVDHTJjUIfQElURAbbULurMHFvGIZhGMb5zSlGdiBksb/YmV/OJ5KXZCXVfL4Qx+VYadC8RGu+HEtLbMcp0g+5MrPzqOamnTTNNZquLr35VYnvOBiWi5Cv5k07wnCstO9UECaa3fwlx1AlZlXk2KRBNXKobal9YFL17G+meIlc0Bwb3fz9Pkd19rlp6c3v2LOOmz+LC0uujB3HxL1hGIZhGMYim4zs5ENrmnZEIaZxC+44hLuemx/zY5K63LQTNLv5mu9LTpGhuPkKEktvfq/I4Fb68IuQlwU3P/m8CVfnbn4oy7EaJfRK8JEYHMsuMG08XXB4jXTR0bqeo75hOeb4zix5GsnZ/D7lGs0++ezmiyOkdd6rXUZKMTcaneY5zgZM3BuGYRiGYaxlC535+VBaHdmB3Js/LnTdQOQHcp2mCqkswwLA+xzfKc08SI7qJJ+XYumQe/Y1JKITYq0L2fws9l0FQ6nWlEFIPtdphj4P9IZBCd4Rejdm87vgqF1gT9UxDZ5aA13ts5sfa2auopJAcDmq02p/diyrTen0YzWWuTcMwzAMwzgH2KTQT2viKaIxi3dWN+2siuwsHgNSiDmyU76KCOL92LSDU0QVKp+34Da5TjN5JTauNO3o2Jufm3ZyZCd6ITZ5aVaO6gjROWLjmU0q0MR0qca5SN0MTOolaj/wV/UStQvs9TP2VVMaHdjv94y9+W5ozujbbZweJu4NwzAMwzA2yxaHcEVl9X3rufmQ3XxVJITVbr46hGF8bYnZzU/lA4Gk7OanoMyL9yU6YpfdfAlKcil35DuI/eLgbXbzwwBhcCSfiFGIPhIGZRgU5yr64ubPKk8Xc3xnSA4vgb1uRjOcBdZ9OgMDtebcG4ZhGIZhnKNsUuSv7swvsZ3FAVyVlaadeWSnnH8cwI2lIz8lZBBwDinDuCnGnMF3ivSla3+IqFdSr2inJJfrNKMvW3A7yhbcXKPpGiE0ZRi3k/xbgNYxaxziE33v8D5yrK442tdULjAdKlrfc9Q1NN3uz9znaNNpfgixzL1hGIZhGMY5zhay+RstxxqF/kI8h1S6d0SQ+fNcztkzDFngixSRr3lhVp8/BLjOk1RJlUOrsjBrliM7sVb8PKqzLMQyeBva7Oa7Sb4vtInQZNe/X3L0LjFtGp5rBpyPHG4bKhfZU3e0XXWm31XjNDBxbxiGYRiGcSY4ncjOvGVnbWRHlRRycF8gt+yILgzmlg8E0Y0LslJKuV4zRlJ0JNUc31FBokOilu+zuNdB0ACxRHWiz807MmQ3Px9LxCD0QRhcju84F+kGRzsM2/N+nkkslmMYhmEYhmGcEqcwgLuuk78Y2QHSvKJTtUR28uBtKl8lhOz0D644+dnNF1VS78EJ2jli5UDz96lEdUKjRAdDp2XjLXnw1kGYFYe/FWKT7+9mubazayuOlg8fu5kUI+k0YzlWhWkYhmEYhnG+c0rZ/JMI/blrH1gQ+iWbD7lGc5As9L3PrTv9kHvzvUOqHN/RzhN9btpxdc7m+2kqUR3BN9nNHyZF5DdCaMoQ7qQM6LaOPk627e0zto6Je8MwDMMwjO1mi5GdfFNWRXaAHNuZi/zSgZ/KHYtnTpLjOwLlcaVpJ8RxeRYp4fqczZeYM/nEhHotUR0hOkEiY1RnbXwnBiUltw1v2BnGYjmGYRiGYRjGGeeUBnDDSj7/RAO4Jae/MoDrSDFHdeYDuDg3xnfoXXb+vUO64ub3nqRCqpQw782fZZEf6uzcRwdhmsV9aARY3e+/K4kJxMS9YRiGYRiGsV2cjpsPuTP/RNn8sU5zg2x+yJEdeoUhL8rSIYKT7OZ38YTZ/BzVgXWu3thBTNwbhmEYhmHsJJtx808i8oHVTTuqeQuuSI7sSMpNOzGRkubIzvxDgFtp2iGlPIwbEhoSuJLxV0FqhwTKAqzSpBOEeLpxl+eDlIDT7bk/C/6emLg3DMMwDMPYPWzk5p9CZ34+TXb1k+pK006QsgCrZOXVIYOWpp28HEucI/kc1ZHKj25+rHNUx01dHsCtdeX1dzEpJtJpxnKSiXvDMAzDMAzjlDiFbP5J3fxy3tHNnw/Wzt18WHDzS3ynDO3ON9/KEItjn5+rvRJ191dhnk9s6wTE7//+73Pw4EEmkwkXXHABN9xww3a+nGEYhmEYxrlHShtHQlb15qcVRz/F/CemIt7zH2LM5wqBFAIpRAghb70NkTQMpCGQ+h66HvoB6Qeky7dl1qPTAbfco9Metzzgj50F4n7+fpzun1PgYx/7GJdddhlt23Lw4EG+9rWvnfDxn/3sZ3nVq15F27b8xE/8BP/5P//nLb3eton7Bx98kLe85S3cfPPNfPOb3+SrX/0qv/iLv7hdL2cYhmEYhnFuMxf5a4X+GgE6F/kpppXjIWSRH2IR9SEf6/ss6PuB1HVF0OevqetI0ylMZ7A8RZZnyLEpcnQZOTpFj0xxR2b4I7OdeT+2wOJ7cjp/tsoDDzzAbbfdxp133skjjzzCq1/9aq6//nq+//3vr/v4//bf/hu/8Au/wNvf/na+8Y1vcMMNN3DDDTfw6KOPbvo1JW1DgGgYBi677DLuuusu3v72t5/yeQ4fPsyBAwe4ln+Il+oMXqFhGIZhGMY5wHpNO+N9ixtw5fjj5dhYpznP5QPi8hZbRMvXMnirmh9X8vjJOwYGHvp/f4tDhw6xf//+M/rXO11GLSn/92lrySH1fCX93pb+ngcPHuTqq6/mvvvuAyDGyCWXXMK73vUubr/99uMe/6Y3vYmjR4/y+c9/fjz2d/7O3+GKK67g4x//+KZec1sy94888ghPPfUUqsprXvMann76aa644gruuece/vbf/tsbPm82mzGbrXz6O3ToEAAD/WnvHTAMwzAMwzjnmOujdes0WRHyJTmTc/nz+9eI/EQW7pCbdcbtt0XkBwHNol+GIvqDI0g++W4eOB3S7JRjNeM56IH8gWGRpmlomua4x3ddx9e//nXuuOOO8Ziqct111/Hwww+v+xoPP/wwt91226pj119/PZ/73Oc2fZ3bIu6/853vAPC+972Pf/2v/zWXXXYZH/nIR7j22mv58z//c174wheu+7y7776bu+6667jj/5WtZY0MwzAMwzDOKzbS1WuPb2OxzV/+5V9y4MCB7XuBU6Cuay6++GL+69NnRkvu3buXSy65ZNWxO++8k/e9733HPfYHP/gBIQQuuuiiVccvuugivv3tb697/qeffnrdxz/99NObvsYtifvbb7+dD33oQyd8zLe+9S1imch+z3vew8/93M8B8KlPfYqXvexlfPazn+WXf/mX133uHXfcserTyg9/+EMuvfRSnnzyyV33H4uRP7lecsklfPe73911v4Y737Gfze7Ffja7G/v57F7sZ7N7OXToEC9/+cs3NG93krZt+T//5//Qdd0ZOV9a3ApcWM+130m2JO7f/e53c9NNN53wMZdffjl/8Rd/AcCP//iPj8ebpuHyyy/nySef3PC5G/1a48CBA/YPeRezf/9++/nsUuxns3uxn83uxn4+uxf72exeVLe1hPGUaduWtm2f99d90YtehHOOZ555ZtXxZ555hosvvnjd51x88cVbevx6bEncX3jhhVx44YUnfdyVV15J0zQ89thj/PRP/zQAfd/zxBNPcOmll27lJQ3DMAzDMAzjrKOua6688koeeuihsQ4+xshDDz3Erbfeuu5zfuqnfoqHHnqIX/3VXx2PfelLX+KnfuqnNv2625K5379/P+94xzu48847ueSSS7j00ku55557ALjxxhu34yUNwzAMwzAMY1dx22238ba3vY2rrrqK173uddx7770cPXqUm2++GYC3vvWtvPSlL+Xuu+8G4Fd+5Vf4e3/v7/GRj3yEn/3Zn+Uzn/kMf/qnf8onP/nJTb/mtm2oveeee/De85a3vIXl5WUOHjzIl7/8ZS644IJNn6NpGu68885dl2UyMvbz2b3Yz2b3Yj+b3Y39fHYv9rPZvdjPZmPe9KY38eyzz/Le9753bI/84he/OA7NPvnkk6viTNdccw2f/vSn+c3f/E1+4zd+gx/7sR/jc5/73AnbJteyLT33hmEYhmEYhmE8/+zOyQfDMAzDMAzDMLaMiXvDMAzDMAzDOEcwcW8YhmEYhmEY5wgm7g3DMAzDMAzjHOGsEve///u/z8GDB5lMJlxwwQVjZ6ixe5jNZlxxxRWICP/zf/7Pnb6c854nnniCt7/97bziFa9gMpnwyle+kjvvvPOMbeozts7HPvYxLrvsMtq25eDBg3zta1/b6Us677n77ru5+uqr2bdvHy9+8Yu54YYbeOyxx3b6sox1+OAHP4iIrOoAN3aWp556il/6pV/iR37kR5hMJvzET/wEf/qnf7rTl3Vec9aI+wcffJC3vOUt3HzzzXzzm9/kq1/9Kr/4i7+405dlrOHXfu3XeMlLXrLTl2EUvv3tbxNj5BOf+AR/9md/xm/91m/x8Y9/nN/4jd/Y6Us7L3nggQe47bbbuPPOO3nkkUd49atfzfXXX8/3v//9nb6085o//uM/5p3vfCf//b//d770pS/R9z0/8zM/w9GjR3f60owF/sf/+B984hOf4Cd/8id3+lKMwl//9V/z+te/nqqq+MIXvsD//t//m4985CNbqj03zjxnRRXmMAxcdtll3HXXXbz97W/f6csxNuALX/gCt912Gw8++CB/62/9Lb7xjW9wxRVX7PRlGWu45557uP/++/nOd76z05dy3nHw4EGuvvpq7rvvPiBvKrzkkkt417vexe23377DV2fMefbZZ3nxi1/MH//xH/N3/+7f3enLMYDnnnuO1772tfybf/NveP/7388VV1zBvffeu9OXdd5z++2389WvfpX/8l/+y05firHAWeHcP/LIIzz11FOoKq95zWv40R/9Uf7BP/gHPProozt9aUbhmWee4ZZbbuHf/bt/x9LS0k5fjnECDh06xAtf+MKdvozzjq7r+PrXv8511103HlNVrrvuOh5++OEdvDJjLYcOHQKwfye7iHe+85387M/+7Kp/P8bO8x//43/kqquu4sYbb+TFL34xr3nNa/id3/mdnb6s856zQtzPHcb3ve99/OZv/iaf//znueCCC7j22mv5q7/6qx2+OiOlxE033cQ73vEOrrrqqp2+HOMEPP7443z0ox/ll3/5l3f6Us47fvCDHxBCGLcSzrnooot4+umnd+iqjLXEGPnVX/1VXv/6129pI6SxfXzmM5/hkUce4e67797pSzHW8J3vfIf777+fH/uxH+MP/uAP+Cf/5J/wT//pP+V3f/d3d/rSzmt2VNzffvvtiMgJ/8wzwwDvec97+Lmf+zmuvPJKPvWpTyEifPazn93Jv8I5zWZ/Ph/96Ec5cuQId9xxx05f8nnDZn82izz11FO88Y1v5MYbb+SWW27ZoSs3jN3NO9/5Th599FE+85nP7PSlGMB3v/tdfuVXfoV//+//PW3b7vTlGGuIMfLa176WD3zgA7zmNa/hH//jf8wtt9zCxz/+8Z2+tPMav5Mv/u53v5ubbrrphI+5/PLL+Yu/+AsAfvzHf3w83jQNl19+OU8++eR2XuJ5zWZ/Pl/+8pd5+OGHaZpm1X1XXXUVb37zm+0T/Daw2Z/NnO9973u84Q1v4JprruGTn/zkNl+dsR4vetGLcM7xzDPPrDr+zDPPcPHFF+/QVRmL3HrrrXz+85/nT/7kT3jZy16205djAF//+tf5/ve/z2tf+9rxWAiBP/mTP+G+++5jNpvhnNvBKzy/+dEf/dFV2gzgb/7Nv8mDDz64Q1dkwA6L+wsvvJALL7zwpI+78soraZqGxx57jJ/+6Z8GoO97nnjiCS699NLtvszzls3+fH77t3+b97///ePt733ve1x//fU88MADHDx4cDsv8bxlsz8byI79G97whvE3XqpnRRrvnKOua6688koeeuihscY3xshDDz3ErbfeurMXd56TUuJd73oXv/d7v8dXvvIVXvGKV+z0JRmFv//3/z7/63/9r1XHbr75Zl71qlfx67/+6ybsd5jXv/71x9XG/vmf/7lpsx1mR8X9Ztm/fz/veMc7uPPOO7nkkku49NJLueeeewC48cYbd/jqjJe//OWrbu/duxeAV77yleZ+7TBPPfUU1157LZdeeikf/vCHefbZZ8f7zC1+/rntttt429vexlVXXcXrXvc67r33Xo4ePcrNN9+805d2XvPOd76TT3/60/yH//Af2Ldv3zgDceDAASaTyQ5f3fnNvn37jpt92LNnDz/yIz9iMxG7gH/2z/4Z11xzDR/4wAf4+Z//eb72ta/xyU9+0n5DvMOcFeIecn2f9563vOUtLC8vc/DgQb785S9bl6phnIAvfelLPP744zz++OPHfdA6C1pwzzne9KY38eyzz/Le976Xp59+miuuuIIvfvGLxw3ZGs8v999/PwDXXnvtquOf+tSnThp/M4zzmauvvprf+73f44477uCf//N/zite8Qruvfde3vzmN+/0pZ3XnBU994ZhGIZhGIZhnBwL3xqGYRiGYRjGOYKJe8MwDMMwDMM4RzBxbxiGYRiGYRjnCCbuDcMwDMMwDOMcwcS9YRiGYRiGYZwjmLg3DMMwDMMwjHMEE/eGYRiGYRiGcY5g4t4wDMMwDMMwzhFM3BuGYRiGYRjGOYKJe8MwDMMwDMM4RzBxbxiGYRiGYRjnCCbuDcMwDMMwDOMc4f8HBQaWQp1+cqYAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<Figure size 1000x500 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x1 = np.linspace(-6,6,250)\n",
|
||
"x2 = np.flip(np.linspace(-6,12,250))\n",
|
||
"\n",
|
||
"fun_map = np.empty((x1.size, x2.size))\n",
|
||
"for n,i in enumerate(x1):\n",
|
||
" for m,j in enumerate(x2):\n",
|
||
" val = forward([i,j], w, b)\n",
|
||
" fun_map[m,n] = val\n",
|
||
"\n",
|
||
"plt.figure(figsize=(10,5))\n",
|
||
"plt.imshow(fun_map, extent=[x1.min(),x1.max(),x2.min(),x2.max()], vmin=0, vmax=1, aspect='auto')\n",
|
||
"plt.colorbar()\n",
|
||
"plt.scatter(*X[yhat[:,0]==0].T, label='0', alpha=0.4); \n",
|
||
"plt.scatter(*X[yhat[:,0]==1].T, label='1', alpha=0.4);\n",
|
||
"plt.legend();"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "90747560-f9a3-4ad7-af93-982198e682b0",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Netiesinė sprendimo riba\n",
|
||
"\n",
|
||
"Matome, kad mūsų tinklo išmokta riba yra tik linija. Tai nestebina, nes iš esmės atliekame tik logistinę regresiją. Kas nutiks su sudėtingesniu duomenų rinkiniu?"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1278,
|
||
"id": "6636ca49-dcc8-4a74-b60b-8b2f04f7da54",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"n_samples = 1000\n",
|
||
"X0 = np.random.normal(loc=[0,0], scale=[2,0.5], size=(int(n_samples/2), 2))\n",
|
||
"X11 = np.random.normal(loc=[0,3.5], scale=[0.5,1], size=(int(n_samples/4), 2))\n",
|
||
"X12 = np.random.normal(loc=[0,-3.5], scale=[0.5,1], size=(int(n_samples/4), 2))\n",
|
||
"X1 = np.vstack([X11, X12])\n",
|
||
"y0 = np.zeros(shape=(int(n_samples/2), 1))\n",
|
||
"y1 = np.ones(shape=(int(n_samples/2), 1))\n",
|
||
"X = np.vstack([X0, X1])\n",
|
||
"yhat = np.vstack([y0, y1])\n",
|
||
"\n",
|
||
"plt.scatter(*X[yhat[:,0]==0].T, label='0', alpha=0.4); \n",
|
||
"plt.scatter(*X[yhat[:,0]==1].T, label='1', alpha=0.4);\n",
|
||
"plt.legend();"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1282,
|
||
"id": "6081045c-6261-4595-8b31-8fe773e67fc1",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Training accuracy after epoch 0: 64.9000%\n",
|
||
"Training accuracy after epoch 10: 63.7000%\n",
|
||
"Training accuracy after epoch 20: 63.7000%\n",
|
||
"Training accuracy after epoch 30: 63.7000%\n",
|
||
"Training accuracy after epoch 40: 63.7000%\n",
|
||
"Training accuracy after epoch 50: 63.7000%\n",
|
||
"Training accuracy after epoch 60: 63.7000%\n",
|
||
"Training accuracy after epoch 70: 63.7000%\n",
|
||
"Training accuracy after epoch 80: 63.7000%\n",
|
||
"Training accuracy after epoch 90: 63.7000%\n",
|
||
"Training accuracy after epoch 100: 63.7000%\n",
|
||
"Training accuracy after epoch 110: 63.7000%\n",
|
||
"Training accuracy after epoch 120: 63.7000%\n",
|
||
"Training accuracy after epoch 130: 63.7000%\n",
|
||
"Training accuracy after epoch 140: 63.7000%\n",
|
||
"Training accuracy after epoch 150: 63.7000%\n",
|
||
"Training accuracy after epoch 160: 63.7000%\n",
|
||
"Training accuracy after epoch 170: 63.7000%\n",
|
||
"Training accuracy after epoch 180: 63.7000%\n",
|
||
"Training accuracy after epoch 190: 63.7000%\n",
|
||
"Training accuracy after epoch 200: 63.7000%\n",
|
||
"Training accuracy after epoch 210: 63.7000%\n",
|
||
"Training accuracy after epoch 220: 63.7000%\n",
|
||
"Training accuracy after epoch 230: 63.7000%\n",
|
||
"Training accuracy after epoch 240: 63.7000%\n",
|
||
"Training accuracy after epoch 249: 63.7000%\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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\n",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"w, b, costs = train(X, yhat, 250, 0.01) \n",
|
||
"\n",
|
||
"plt.plot(costs); \n",
|
||
"plt.title('Vidutinės nuostolių funkcijos reikšmės kiekvienai epochai');"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1283,
|
||
"id": "f2860ddc-a852-4b6c-b1f7-ce494fa05309",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<matplotlib.legend.Legend at 0x7f2ca5f44b50>"
|
||
]
|
||
},
|
||
"execution_count": 1283,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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dux9pszMKobfNSsNv//Zvs3fvXn7gB37gum6nlOKpp55i3759m3RmlmVZlmVZN4/WBmMM7JBdddanfKxa6a0+kRuym9KTtsVKg9aa3/7t3+bHfuzHcN2Vp/TAAw9w4MABHn74YQD+4T/8h3z7t387d955J/Pz8/zqr/4qp06d4n3ve99WnLplWZZlWdaGmj+/QGumQ63ephrWEDtkUHm9DJpu0qE102F+0m5Ss91ti6DhT/7kTzh9+jR/7+/9vVW/O336NI6z9McyNzfH+9//fiYnJxkeHuaee+7hS1/6Eq9+9atv5ilblmVZlmVtClVo/s+f/fd8709+J3d+221IV8LO2GDn2hlQheL5r77Ef/rUn6KKnbnSoFn/7kc75ZELY3ZIItUGarVaNJtNvov/Bld4W306lmVZlmVZqwgBlWZE1AhvuUa2xhjiVkJvIeZyI9HC5DzOH7CwsECj0bi5J3gVi2PJf/m1NxHV1jcHH3cKfuqNX9mWj3O5bbHSYFmWZVmWZa1kDHTnY7rz8VafimXZoMGyLMuyLMuyboQyDmqduyet9/Y3iw0aLMuyLMuyLOsGaAR6nQUn6739zbIzQhvLsizLsizLsraMXWmwLMuyLMuyrBtg05Msy7Isy7Isy7qijWjOtlOau+2Ms7Qsy7Isy7Isa8vYlQbLsizLsizLugHaCPR6m7ut8/Y3iw0aLMuyLMuyLOsG6A1IT9I7JPFnZ5ylZVmWZVmWZVlbxq40WJZlWZZlWdYN0MZBr3P3o/Xe/maxQYNlWZZlWZZl3QCFQK2zOdt6b3+z7IzQxrIsy7Isy7KsLWNXGizL2sUMo7WUwNOkucPFTgA7ZMbHsizL2no2PcmyLOsWNzHU4/iRWfaPxASeIs0l52Yjnjw1wuR8ZatPz7Isy9oBFOtPL1IbcyqbzgYNlmXtOhNDPd7+uvM0opzpVkjaCgk8xdHxDqONlMee2mcDB8uyLMtaxgYNlmXtMobjR2ZpRDmnZ6ospiPFmcvpmSqHx7ocPzLL5HzEzk1VsmlXlmVZN4NNT7Isy7pFjdZS9o/ETLdCVg+kBTOtkP0jMaO1lIudcCtOcV1s2pVlWdbNo4yDWuegf723v1l2xllalmVtkMDTg8H0WpJc4ruKwNM3+czWbzHt6uh4h1bsceZilVbscXS8w9tfd56Jod5Wn6JlWZa1QX7zN3+T2267jTAMuffee/nrv/7rK17/k5/8JHfddRdRFHHo0CE+/OEPkyTJNR/PBg2WZe0qae6Q5pLAW7v0LPQUWSFJ85328bgy7SrOXLQRg7SrRpRz/MgsYLb6RC3Lsm4ZBoFe54+5gfTRz33uczz44IM89NBDfO1rX+P48eO8853v5MKFC2te/7Of/Sy/8Au/wEMPPcTTTz/Nv/k3/4bPfe5z/OIv/uI1H3OnfStalmWty8VOwLnZiD2NhNUDaMNYI+HcbNSvA9g5riftyrIsy9oYi+lJ6/25Xr/2a7/G+9//ft773vfy6le/mk996lNUKhU+/elPr3n9L33pS7zlLW/hR37kR7jtttv43u/9Xt7znvdcdXViORs0WJa1ywiePDVCK/Y4PNal4hc4wlDxCw6PdWnFHk+eGmGnFQ7fymlXlmVZu0Gr1Vrxk6ZrT/JkWcYTTzzBO97xjsFljuPwjne8gy9/+ctr3ub+++/niSeeGAQJL774In/8x3/M93//91/z+dlCaMuydp3J+QqPPbVvUDA8Wk/ICsnJqdoOKRhevTvS8rSrOFv90X5jaVd2FybLsqwr0Uagzfo+Fxdvf+jQoRWXP/TQQ3zsYx9bdf2ZmRmUUoyPj6+4fHx8nGeeeWbNY/zIj/wIMzMzvPWtb8UYQ1EU/ORP/uR1pSfZoMGyrF1pcr7C5Hy04wbFV9od6dxsxNHxzoqtZEtl2tXJqdo1p13ZXZgsy7KuTuGg1pm4s3j7l19+mUajMbg8CDYuTfbxxx/nE5/4BP/iX/wL7r33Xp5//nl+5md+hl/5lV/hl3/5l6/pPmzQYFnWLiZ21LaqV2tK99SpYUYbKYfHusy0QpLcYaSWsacRM9/zefLUMNcSFN3c5nd2NcOyLAug0WisCBouZ2xsDCklU1NTKy6fmppiYmJizdv88i//Mj/6oz/K+973PgBe97rX0e12+Ymf+An+wT/4BzjO1QMfGzRYlmXtCFdvSrd/uMdjT01w/Mgcr9jXYv9Ij8hXJJkkLSTHj8wB4goDfsNoLeFtr55kbyPmW+cbLJa+bUbzO7uaYVnWTreR6UnXyvd97rnnHh599FHe/e53l/ehNY8++igf/OAH17xNr9dbFRhIWdbAGXNtu+rZoMGyLGsHuNbdkb76whhPnhrh8FiX2U7AhfmQ2W5A4OkrrhQsDuDvmGhz94EF4szFlabf68EHDNWgIMsd7phoM/pCwsVOdMOP5+auZliWZW0OjYNeZ3rSjdz+wQcf5Md+7Mf4tm/7Nt785jfzyU9+km63y3vf+14AHnjgAQ4cOMDDDz8MwLve9S5+7dd+jTe84Q2D9KRf/uVf5l3vetcgeLgaGzRYlmXtAIPdkVprp1MluWS0nhB4itcdnkNKwzfPDLG0IuFcdqVg+QA+ySRxJunEkj2NlFpYcOZihaFqxlA1w5OGyM95x7Hz/OdvTtzgwP7qqyYbtZphWZZ1K/qhH/ohpqen+ehHP8rk5CSvf/3r+eIXvzgojj59+vSKlYVf+qVfQgjBL/3SL3H27Fn27NnDu971Lv6X/+V/ueZj2qDBsixrB7jW3ZEqfnHN/RrKeo6VA/haUJArB4NgtuMzMRSztxnTjj3asUeGwWDYN1wGGjeyInA9PSV2Us2JZVm7jzICtc70pBu9/Qc/+MHLpiM9/vjjK/7tui4PPfQQDz300A0dC2yfBsuyrG2krCnYP9xjtLay+dzKpnSaapDTrGRUgxzQg6Z0vcy9rn4Nlw7gO6nLQtenHhWAwZOaWpjTSVxy5VCNFBdbId8637jhLtO2p4RlWbeKxZqG9f7sBHalwbIsaxu4elFw2ZTuyN4O33H3BZbXs2kNJ6fLHhN5cX39GlanPQnOXKxSDQvGmymRV1Aoh9DT1EJFnEnOXKwCzg2vCGxOTwnLsixrM9lPZMuyrC22WFNwdLxDK/b6xcceR8c7vP1155kY6g2uK/r/YzAYU6YKDS7n0hWJS1cAzGBFYrFfw/IB/KKF2OfZs03mux6Br3GlwpOamVbAs2ebLMQ+cOMrAtd7jpZlWduVMQ56nT/G7IzhuF1psCzL2lLXWhQccvzILELAnz29l1qgcKWhUIJOKjk81utf7wBPnhq5pF+DJPQUY42EVuzx5KkRAEZrZeH0Qs9lbzPm9ExtcPyF2Ofpsw0mhmMutgOeOjVMJ/VYXoNw4ysC4hrPcWcs2VuWZe0GNmiwLMvaQtdaFHzneHvZ9Rw66cqB+vJUocn5Co89tW+Q7jRaT8gKycmp2iBgeOfxs4NUKFdqRmoplUBxero2GMCP1jMm5yM6iXtJwGCoBTmHx7q8OFXjYse/7sd9tXO0261alrUTKARqnRMc6739zWKDBsuyrA1zpe7Ga//uWrdSrUXFVa7ncGAk49BYF4DJ+YjJ+QOrjjkxFK/ZH8F3FfUwZ2KoR66c/gC+zl88M87rjswNVgR8V3F0b5uJoQRlBEkueefxczc00J+crzA5H9mO0JZl7VjaXH9ztrXuYyewQYNlWdYGuFIhM3DZ311rUXAndi97vWaUcft4i7FGihDnWegFa3RWXur2PN6Mefbcym7Pz5wd4vBYhwvzIX/53F7SXHKx4zNaS2lWMl4x0eK2PS0OjMa4jub8fIWXLtRIC7mOhmxXCrIsy7Ks7cQGDZZlWet0pe7Gt+3tYABHcNnOx+dmI46Od1bUNJTKouCTUzWen6pzx0R71fWaUcrrjsyyp5FydrbC85N1As+suH9g0O35VQfmyQuHepRz5mJlsDNTmQoV0azmpLnEczV/576XeO2ReYYrKQYzCGC+9uIokwuVwTncSEO2q+8WZVmWtf0tFjOv9z52gi0/y4997GMIIVb83H333Ve8zb/7d/+Ou+++mzAMed3rXscf//Ef36SztSzLutTKQuY4c9FG9AuZK9y2p8PRPR1Oz1SIs7L5WuBqZts+jSjj+JFZnjw1TCv2ODzWpeIXOMJQ8QsOj3WXFQU7PHlqZMX1hiop9911gdvHO3jSUA0K7j7QwpOa0zNVGlHOd75qkre/7hxHxzs4jiH0FY1qxiv3tXjr3Rf4tttnaEYZsLQb0oHRLn/7Tae5/+5pqn7OhYWQha5PJdA0KgWv3N+mGeXLnoOVDdmu5np2i7Isy9rONGJDfnaCbbHS8JrXvIY/+ZM/GfzbdS9/Wl/60pd4z3vew8MPP8x//V//13z2s5/l3e9+N1/72td47WtfezNO17Isa+BKhcy1QCEcg0Aw0UwYrac0qxmeNORKEKcSVxq++sLYVYqCI0ZrCY6Ar70wwpE9XV6xv8Xd+xcYrafMdnwuzEcU2mFPI6UWFjxztslMK+D4bbNcbAdMzkccOzJH4Gl6qWQ2damHBYfGujiO4dmzQ/1aBoc7JxY4uqdDmjvM9lOGpCzrJqRjGB/qcce4y9deKoMZWKq9uPr2q9e6W9S1rVhYlmVZN8e2CBpc12ViYuKarvtP/+k/5b/6r/4r/uf/+X8G4Fd+5Vd45JFH+I3f+A0+9alPXd+BhSh/dgKzQ6pkLGtXMYwPxYzUUnqppOw5sPSZ4kqDAHxX8cr9LYSAduzSUQ6u1DQqOWONlAOjXU6cGmVyPuTO8Ta1qKATuzw/VWdiKFmx01GZxhPQiV0uLIRkhcOFhRDTH7zPdhxGahkHR7u8PFOhWcl5carGwdEe0jHMdnxqYUFWCHqZiysV9Sjn4GibXJX1FQcOdgk8xWzHHzweT2oqvsJ1NFLCXQcWQMDzkw1asX/N269e625R19swzrIsaysoI1DrLIRe7+1vlm0RNDz33HPs37+fMAy57777ePjhhzl8+PCa1/3yl7/Mgw8+uOKyd77znXzhC1+4CWe6hXZKcGNZN2qHBcaLOfl3TLS5bU+bPc2Yi62QMxer/eZnBt8tdyUaqmTMdQOmFiIAfFcjHUNWCCq+4s6JFhcWQo4fmRsEB44wvC13qIUFaeEw3YoG9RCvOtji4GiPFyZr+J7GlYZc0T+mplCCvY2EOHUQGDCCoWpGO3YplEMtKKhHOb3UQQqDxHD8tnkKJSi0Q7NSpiuFXsHUQllfMFpLcRyDEYK8MBgjGK2nuHKBZ842GKrmnJyqXbUh27XuFnW9DeMsy7K2wm6qadjyoOHee+/lM5/5DHfddRfnz5/n4x//ON/xHd/BN77xDer1+qrrT05OMj4+vuKy8fFxJicnL3uMNE1J06U821artXEPwLKsjbGDAuOJoR5vf+0kjUrG1EJINawy3kwYayRUw4KzsxWalYyhasbeZkLkKTqppFnJqAQFFV/hOOUAf6HrcedEi+Fajudq0syhEWWM1BMODMdIx/DMuSYLvYA4c4kzl6mFiFfsa1OPChZ6PmP1lF5qGK5lRH6BFBrfM4R+QS9zoV8jUQ8NkV/2ZfBdTeSpssDZV1R8xXQr5EIrRApNs5Kzp5kS+YpclYXRsx2f4WqO5xriXDDX9WhGOcePzPHUy8M8eXoUxJW//NJCXtNuUWkht/97YocFupZlWeux5UHD933f9w3++9ixY9x7770cOXKE3/u93+Pv//2/vyHHePjhh/n4xz++IfdlWdZu18/Jr2Scni5z8l+eqVENFJFfMFJPGG/G/XQlwYWFkL3NhLF6xngzpZe6JLnEwZBkDoV2eNXBFi9MaV6YbHDX/haRX6YhxZnEdzWHRrs4Ap4912Sh51Moh07iMVJP+db5JiO1lNvHO2gNvUyCI3CERohy//Db9nQZqmYgIO4fXzqK4WqOEGA0dFLJ2bkKae6yEBdUg4LAV4zWFAaIcxdHSAolgLL2oRJocl2uTnzt5Og17Xp0sRNwbq7C0b0dTs+Uz9Hy53askXLywtVXLLaF7R7UWNaOJ8qsz21MI9bfp2GH1G9tu/WQoaEhXvnKV/L888+v+fuJiQmmpqZWXDY1NXXFmoiPfOQjLCwsDH5efvnlDT1ny7J2j9Fayv7hHtMLSzn5rdjnmbNNplsBkacZrqUoLZhciHjq9AjnZivkSuC5ZWqOEIZO4nN2tkonkUR+QT3MuX28ReQXzHZ8tHFwHOim5W5M9X4vhqFqihCGmbbHUCXFkxqlBVkBmRIEnqIWKhZ6Hv/lpWGmWz5jjQTP1QhjUBqkYwg8QzeVICAKFAs9nzQv55HirJzllw44wuAIwGjqUU4lUJyfj/ir5/dw4tQI/+XkKGdmK7R619oVWizbBap3yW5RvWW7Re2ML1HLsnY3swE7J5kd8nm35SsNl+p0Orzwwgv86I/+6Jq/v++++3j00Uf50Ic+NLjskUce4b777rvsfQZBQBDsgFkry7K2vcBTZTOyllxxeSv2OTVdY28zIc4cnj3f5PxcFYB9wz3Gh2JmWiHSMVxYiOgkHpGvONhvlnZgpMc+7bAQe/RSF6UFWpdfJIGrIcwZrWWM1DK0hlqY06wUvOmOGXxX0ep55EowWsswGJQR3L63i9LgScOZixXGmwkjtYwkl3QTl1w51KMCR0A79gaPJfIVvcwlKwSNKEM6Bt81JHnZYG6+GzA5V64qVPyCLC9Tjq7V5HyFx77R3y1quMdoIyXLHU5eqF2hT8NiIzjVbzxnG8FZlmXdTFseNPzsz/4s73rXuzhy5Ajnzp3joYceQkrJe97zHgAeeOABDhw4wMMPPwzAz/zMz/C2t72Nf/JP/gk/8AM/wO/+7u/y1a9+lX/1r/7VVj4My7JueeWgdaiS4QhN4BXEmbfiGq4E2R+At+OlmffpVlmDIEQ5n6S16O9Y1EM6mk7i4TjlMSJfMTEUMzkf0ssko7UU31UYPLSBvHAYqSUMVXNascf0QsChsR57mimBq1HK0Ek9Ilfh1VKkU+7S9MTJEZ473+TgaJdaUKAROBg6sUs1VIPl9cAr06y6iQuUgYV0DN3U4/xchNGCwFfUwpxO4l4hnejKg/zJ+Up/K9mrBwKDRnDDvUH36HNzFdsIzrKsLafNBqQn2d2Trs2ZM2d4z3vew8WLF9mzZw9vfetb+cu//Ev27NkDwOnTp3GcpSyq+++/n89+9rP80i/9Er/4i7/IK17xCr7whS/YHg2WZW2alYNWxb7hmEOj3X5TtqXBcqHKnZFmuz6dZCmgyHKHVs8j9Apc11CLCmphQV4ITl6sM9ZIGammxIVDmjsEnma4ljPX8dk/0sMB0lwghKFZSakEiottnyR36aQeM+2QiaEOjjD0+tuehn7BkK8RQuNLw/HDs/zZM/v46gt7qIU5rjQUSvCKffO8cl+biq9oxwZHGKRjSHOoBDnGwMszFYSAalAGE67U1MKckVq2ZjrR5Qf5w+SFXBEkXG1b1bLo/DyNSsb0QkjaKm9/dG+H0XrKY9/YZwMHy7K2jN096Sb63d/93Sv+/vHHH1912Q/+4A/ygz/4g5t0RpZlWUtWD1pD0tzh2G1zfPsrZ3jypRGmWyGhpxitZ0y3w/6uQIZmJefgaJdmJSPyc+pRwXQr4NR0lYMjZf5+rhxylbMQ+3iuIvIVcSZoVlICV5HmDt3YpRJqCgWOq5nr+sy0QrQWRH5BI0qphgqlBLWwoBoolBEkuUPgQlY4jNQzjh2+yInToywM6g8MceZxdrZCJSjY20jKQmoMw9Vy5SIuXCK/rJuQUrOnWeA6hqFKxt+cGeLJUysLoC83yH/NoTnufcU0sx2fQslrXC1YXXQOi43gJIfHerYRnGVZ1k2y5UGDZVnW9rX2oHVqocJfPyc5dmSOo+NtfE+R5ZKTF+r8xbPjvO7wHHcfWGC0lhL6Obkqc/5dp6xPOLKniyMUoScYqyt6meSbLzfZN5xw58QC480CKaEjDa4DUhouLIScnY04OBozvRBgcIj8sqPzUCXHdUBQFi3nyuAgqPqGrL96oYGxRsrt4y2efGmU0FOMNVIm5ys8cuIArzowz2sPzzFUSQm9MnhpxR5nL1bJCod6JWeokhH5mpl2QLJmDcPaz5cnNY2o3H5WaXjypdFrWi1Yq+h8iWCmFZQ1EbYRnGVZW8SmJ1mWZVlXHLQu9AKeeGGMvc2YP3t6nKn5yiAnf7oV8L63f4uDY93BrXqp5NxcRJLL/kA/I8kz0lySK8FQNef8XMhQJUM04zLVKHVoVgpCXzPThoVuwGg9w5UG6RQcGC7rE4yBLBc4sgwapAPGGIQAD4PjKNqxy8WOz1g94Q1HZ8iV5MzFCo99Y5zJ+RpPnR7m0af2Md7vQXH3gXnywmGoWvaWqEc5rtQUyqEde0wthBzd22W0ng0G/Ws/X4aDo10iX3N+NiLyFZWgoJN4V10tuFzR+aIkl4w2ypoIy7KsrbC4A9J672MnsEGDZVnWZVzLoFUZh/nuytz8oUrKnkZML5G0E59O7KIN1CNFxSmIU5dqoGjHHi/PVHGlYU8j4fbxNmkuacUu9X6ake8qAi/n9vECVyp6qc9oPcGTimqUo7RAOOA5GtcBbcpibGUgzwXC0Tj9fcQDqRiuZlRDhTEw3ozZ20x45MQBnjo9wsVOOXDvJh7PnB3i1QfnqYU5vlt+pXUSD6MFE0MxzUrO6ZnKikH/Ws9XNShWdKOuSoUrFzdev/JqQZrLfo3HFRrB5c517dxkWZZl3RgbNFiWZV3GjQxaJ4a6/OB9pxgfSugkLs1Khu9q5rs+sx2POyc6IAwXFgLSwmW4ltOJXbqJ5MBID6KMwNNoLciVg1YOYVB2b37toTbdRCIQ+J4mzQWOYxAGQFBogysAAVICQiMdyIuy2dvRvT2MMDxztkKr6xP6ijvHW4x/R8Lv/Bk8dXqkP/BXVPyCduwz2w7YP9IbpFiBZqSWcXC0y+R8ZcWgf63ny5UG1zEUysGTmkKJfoO40pVWC26pRnCWZd2SdlN60s4o17Ysy9oCi4PWPY2U1W1Jy0HrubnKYNA6MdTjB954hn3DPXpp2dOgUA61MGe8Wc7OC2GQwpAXkm+dbzDTDgh8xXAtBwyVoEAIgzYC31U40mBMuYLgCAh9hTKgtMGVZf8EpR2y3CErBIZyaO0IcB0wptzVaayREfiKQgl6qYfGoZd5nJqpUg8zvufYWUCT5hJHGEbqabk6oB20FqR5+XUhHUgySTUoqIU5SS7xvbJp3VrPV6EEhRa4UlGLChZ6K3eWuvJqgW0EZ1nW9rYYNKz3ZyfY3SsNwil/LMu6NRjNxjYBKweto/WUw2M9ZlplAfBiEfHKQWtZBDxUTYgziTFQCcpagjR3qAYKxykH076r6KQuk3MVJucq1MKciWaP0XqC72qUEniBLgMMpwwAhCiH4dKBrBDkRbn1aVYIEIYsd6gGpuwFsezhJrkkUw6hrzEGfLcMTLJC9s/F0E48ju5tc8/RGc7PRxhT1nP0UonSAmUE0im7SQeeopu4GKAe5dTCHCl0P6hY/XzFmSROXQ6MdLnQCjlzsbr8BbvqasGNNYKzLMuyNtruDhosy7qlTAwnHD9ysewP4CrSQva39Ry94cHl5EKNx/7mwOB+R92MrHA4OV0v73ehAgJGawmv2NditJYx3kwAQ+BpmpWMQjmAoRaVzd3izOXMbI3F0b2UMNLIylSjfnAgDPjepQk5ZQAxVM2Z6/r4Hix0XYarOa6jSQsHz9UgwHGW1kakKGfDciVwHcNwtewKPVzNiHxF4BU0Kjl//7ufI04l1ahgpJZSiwpmWgGFKrd21UZQFA5Z4TBczblr/wK1IGemE/Jtd17kyVNjTM5f+nxpFmIft1UGJ7mSOA79wCuhFfs8eXoMxOXrEiYXakyeqK4dDO6MCbpbj9FbfQaWtS3spvQkGzRYlnVLKPsDnKMRZUy3QtI87G/r2e5v67n/xgOHa+he/Lojs9xz+wyuUxb6+lKDMHiybJiWFQ6LyUMGiLOlQfLBkS6RV9Du+TTCHFeC0+8evRZPQiPMMAgqQYEGeqmD72pkf1VC6aU0pdQs/VtphyjIOTKmkY4h14LQK5BCM1pPyCLJ2dmIQBbUQsVIPUXr8ktR5Q5x4bBvuIcxgqyAhdjnxal6f/vUbPA8X/p8ea5aWi2op2XgdaF+HQGdsNuqbid2ld66KZzVmaHbjA0aLMuydhTD8SMXaUQZp2cubQJW5fBYl+NHLq6zCdjlB60TQ13e8dqzRH7BfNfHJIK9zZhAGrKiP+DWgqwotyoNfc2xI7M88cIepGMYrSdIaZhqRUR+wfhQgrPGaZZJUKXAg0IbpFQoVaYGpblL5GlcaTBArkCgCaTGdQzGGJJC0KxkYARZIWi6Ct8FpQWeo3A8mGgmnJuvcMCJUQa6iUecSSK/4LY9HTxpyJSDlAatHcYaKWcuVhiqZiue50ufr8VtWTcmdcyyLMu6mWzQYFnWjjfoD9C6XBOwcBObgBnuf+UUzUrKdCsk8hVpLiiUgzHguQbHgONozs6GfOWFvURewdHxNnubMaGnqPoFpy9WeflijVpQNkG73FhaUBZFC8GgJ4N2NIaiLDo29HdTAleCFAbd/7d0oCrLFCitDZ5bXib6j0M5DloZ6lHOhIGFnkclKHc1OjASkxbljk69VNBLXRwBkV/2ixippZyfjbhjfIE7x+v0Mm+NwMCuFliWdWsxrL/PwjZfTBmwQYNlWTte4KmyhiFfe0Ca5JLR+uY0ARutpRwY6ZEWkk7sMT4UUwsUQkAvk3gKfLcgyT2eenmYVlzuHuR7mj97egKA73rNeaYWQmS/XkGpcjB/OWLxR5QBRFaUwUEYlsXOGHBkf+ckXe5g5LmmrHVgWa1DP2DI+8eTwoAst0kdquZEviJXAqUEaeEw2/bxpWF2EAgYGlGO76aMOgn7hno4wnDbng6T8xXmusG6a0osy7K2s92UnmSTEi3L2vHSXJIW8rJBQegpsmJzmoAFnkIKTZZLCiWYnK/QTsv5mMDVOE5Zx9COXeb6OwSV5yOZWqjwzbPDvDDVYE8jpR6lNKOMpJCoK9SZLu6OlBdl0OD2B/pLVygDhsXVCFcaMAy2bi1UuQOT1v1VCwBTXs+TugweUAhhMEZQr+R40hD6miSXSEfjOprIV4R+QTUsm8zVwhxPanxXlSlQGI7ubfP2155jYqi34c+9ZVmWdfPs6pUG4QiE2BnRnbWS0TtlMc+6GZaagLVX1DSUDGONhJMX6pvSBCzNJQuxTyVUNKOM2Y7PyzNVIk8xUk+QwiClYbSecv8rp/jm2WGkw7LzETx5apTResJrD17E9xRGX74IelGuyhUExzGrip+lZBAQwNKqhdO/jhTguP20JbO04iDE0kxS5IMvC+LMResy0AjcsqfCSC0FRBkwORqly92VfFcz2/E5P1dhpJYxVk/5mzNDG1RTYlmWtf3sppWGXR00WDuXWKtK1NrFBCdOjzHWKPsDXGyHg34Ko/WEduJz4vQYwtn4xdXZXsi5+RrDtYzAk4wPJUipaVRSXEcjBKS5w0LPZ3woYU9jkidOjvLkqVGWD6CLwqFRKfDdpT4LhrWH2Kb/P6FfBheiP+h3ly2kOE4ZNChVBhHGgFl2v7AymFhx//1GckiohTm9zGOuHbBnKMF3Tf84erASEXia0NNoDYGn2TccD7ph1wK1yTUllmVZW8cGDZZlWTvM5EKFx75xgGNHLnJguMtoXQ/6KZxY7KewKQQnTo1y2542B4a7NKKMsXqM5xqUKguHO4kPCDqJR+QXVAPNVCtCOIKJ5tJWsZ3ERel+J+flR1j2fWLKTCNcF1jsFL3sd8uvKyiDB0dArgHdbxLXT1Hy3ZXXv/R4ZV8IRSeOKIxAOhpPGmZaAfUoJ3DVYKcmISApJN3UpRYWhL4iTl1cV9OOfca8lDDQiN7O+HK0rO3KrrRbW8UGDZZl3TImFypMnogYqaWEniLJ5bKi3c0lDGRK0sv6259mgsI4tHoeUwtVcuWgtcCVirF6zB3jbV6YanCsv1XsxXbA64/kpLlE+qosWl7jtBcbvJUHXfrvfqbRike6WNOwWLdQqLJhHKYMJi4NGAxLgYcxkGagjYs2ZSG1u1jc7Za1DY2I/layDtIxaC0QRtBLJfUoR1BQKGdQU5JsQk2JZe02u2mlXRgB27yP4G5aabCF0JZl3WIEs52Qc3NVZjtrbcG60QzHjlxEOIYTp4ZJcw+EoNAOSjlUA8VwNSXOymLtOHPxXE09zBmppRwY7jLdiqhH5W5FncQb1CIszicuri6suHDwaJf+/9IAYvFy048mFmsdDOVqxqUW78No+oXYAikMjmPoJi7zsc9MO8AYge+pfpdph07i0UncsjZCXDoLWvahODtX7QdwlmVZtw5jxIb87AS7e6VBOLduV0uzzUNzy7pFLA78k0xy94EWgafI+/0MjBH4rmasnjLf9VmIg3Ib08KhnXiEnsJ3NWku+4P/sjFboR0kuj8IX1opEKJcIbiSxZUCpZdqFhZXDuJU4khD5JafD9qsDDQWe0AoAyBwHPrpUobJhQpTCxUWej6FFuwf7vGKffN4/dqJXDn4MqcSFCitSAuHrHA4PNbl/HyFE5fUcFiWZVk7y+4OGm5lt2owZG1vuzBYLQf+ikaUE3oFZ2cjGlFOPczppi5JLqkEBUPVjIXYY6ye8PxUgxem6ozUMrLCIfAUGvCkoRblaL00uNb9VYZr/ovu31Q6DLZt1aZMI5qcDzg0GlOo8nrSKVf+BzUMy1Y4HMqC57yAZ883+L//6ijHjsxyz20zuK5iuJoReRptBA4GXxo6mUteCMAhzx0cx3CxHfDEyTEmF6J1PtOWZVnbj0asu7nbem9/s9igwbKsjbMLg9Wk8JCOYLSe0k58EJLz81XCPS2qQUGqHAolqAU5t493mO8FPPLUYRAus13J2fkarz04SyNKKbToFzcLjHJwnXIPVSmufY6+bLm27PwyiZQK14FDYzGuNHQTSeBpXLEsSuh3jHMAr1+InSv4xtkR/n9fuhuE4OBIj7sPLBB6BZ3UxRjKcwTSwuHEy6Ocm61SCzNee3CeLCt3Vrr/ldMc2dPlxKmxTSxIv8XswgDcsnai3VTTYIMGy7KsdZjtBMx0Al59cJa5rg/AfC/g5HSDfUNdGpUcrcC4muemanzhq0f5xpnR/q3LnZe+/c4p9jSSMtjwVNlgzVnWeI21dzlay2L9gjGQFwIjQGkHgRnUGwSexhHmkpWFZccQoAo4P1tjcq7GWD3h2JEZ7pxYYL7nYYxHNVREXo7rajqxRzvx8B1NLcg5dngOMDx7foyZdkTgKY7uaTNWT3jsGwdt4HAtdmEAblmr2b+D7cQGDZZlWesiOHFqjDfdPs2eesJ8LyBXDr3UZWohYqYdMtMOyQqHf/tndzHbWTlgzpRkthNSKEElUHQSn1qYkeQCT5YN1LQudz26lrjBsDRJnSqJUqJf26AAg+uUxdAKSaEMnlsGKPRrJ7SBua7PTCviS89NMFJL+Z5jL/e7SQumWxUy5eC7GuloRqsJhRbkhcOh0Q4jtYQ4k5w4PUorDgCDIwyt2GVvI+bYkWkmTxzG1jdYlnUr2IhCZlsIvRM44tqn7yxrp7F7ed80z5wf4q9f2Msbbpsm9AuGPI0xMNfzeXGqQbOSc3K6zmxndV5/6JWF0SdOjxL5ilMzNW4bKwuqI09xaKSNJ69tiK0Xdz3q1ytU/QIEZEW53avSLkoqPNdgjO5vg+oQeWWUkRUOF1oRJ6cbDFcyXAlx6nL3/nmeO9/EFYZclRFGVkhAckE5hH7BC5NNJppdHAfOzVdR2qERpRwc6TJUzcpGdxhGaymnZho8e254I18Cy7KsLWHTkyzL2vl20V7eW0/wZ986wEgt5c6JBaTQKAGNKOfY4VlOzTQ48fKeNbc+SpRLpiSBb+hmPt3Mp50EvO7gRQ6PdpHy2jNVFOW2qqJfAyGcMk3JkxrHg27i0ss8fKn6Kwxl/pMQZSVEKwk4v1DHcw2FcSi0g3AMnlQ40iCloRoWdBKXxTAmVw5VB2pRzlAtoxbm1Cs5jjBUg5w0d7nYCSiUh+dq9g31+K5Xn2MhDm2a0nI2yLcsa5uzQYNlWdYGMUChHNQlK5im3zlhpJYQuoqkWGo6N9sJODtf5eieFi9frLFYyjxUTXCcsimawRC4ZrCF6uXIxcVTA4UBpfqXy/J3laBgrhPQTT2GKxk4i1uzGorC4dxchTiTjNQSZtoR3dTlSC2mGhQc3dOiHhbs9WJmOwFz3YAkd/v1F4pXHZgl7xd9K2VoVDPqUU5HGFwZkKvyOZnr+oRewbHDM0w+dQibptRng3xrs9nAdFPY9KRdQgxm2Kztxhj74WbtJIZjh2dwHPizZyeoBgpXagrl0E0ld++b5z33fYv5boDvabJccna+yonT5W5CJ06PMVZLODTa4WI74I69CwxVUjAOce5gjCH08qucwdIKw2Jn5/JyB601xikbutWjDG0ErtRgyl4MReGQFi6FEuxt9igKh9lOSCNKeeW+ebJ+z4lzcxX2D3UZq8dU/YKz8xVGqjFj9RRHQJw51EKF65SN33qZS+hphioJcVahFubMtCPOzlY5MNRlpJb2G/BZlrXpdmJgugMG02YD0pNs0GBZ62CDOWsnGXR2bkcgHLrZ0pJAo5IxWk+ohzlf6URMz1UIPMXte1vsqSc8+s2DTC1Ueezpgxw/fJE79s5zZKzdb/ImmI9d9tQzoN9TgbXn5nW/mdvijktSlv82l2zd6QiDEAKjBYUp/1844LmKo3vbJJlLO/F45b5ZhisphZZ85cW9HBzuEfoFU+0K9ax8TK+cWMAYgyOgUILQL4utF3d/ch1NWrggDMoIOrHPmdkaSe4xWssIXbVZL4llWZa1wWzQYFmWtU6hWww6O1/q4EgH19F0M5dCO2gjiDOX0xdrHB7tcPzwRf7TUxWmFqo8edqwv9kGymZsrlQ0KwWe1BQFuG6/47Oz1FrBUP7Pst1SB/0WEGV3Z2OWOkU7DiSZIM49uqlHNcjJiv72SQgudsu0KU9qQk8z3fLppAHPTAYcHOkwFKUkhceFlkMjyphpB4w3Y2pBjjIOaSEptKAe5khpiGSBlIaT002+NTlEK/Gp+DmZckiVaycIbnF21di61S1f2V3PfewEuztocBy7F/ZupG3TJGtjJYU76OwcZ0sfq9WgKAfZuST0FBW/oOjn9rvS0Esl+4fajNRSPKn47lefZaiaM9sNSQuHsXpC5BW40pAXAtn/ZloMFIwo386Os/SlJcSyLzGx8nemv6Wq41AWOQPzPZ/IU3RTn3bi8tzUEJmSVPyCV4zPA4aDIx2+eXaEb54doRoUeI7C9xRvPDLNQuxz595WuUtTXgYeWkmS3OC7mkILtBacmqnRin3AMFZPODnd7Nd1WLcyGxRa67ET3j0agbAdoS3rFrXGDjaWtR6zvYhz8zWO7mlxerbO4ledJzWVoKAeZijt8JoDs1T8AoBe5hFnLqI/KJ9o9mhEGWfmqtSjjIpf0El8vGqCIzSinwLkuaZcYRBLKwiYMlDQpr+TNGUq0+IKhNMPJLSGTuKSFR7n5mokuUQIwx17W3QXXKQs+0Ys9AIK5VAoB8cxTDR6TLcipvvF0eByR22eRpThCF32kjAQeYJMlc3k0kLiOgYHgxGakSjBGIdKkNOOfZ48PcrOGBJYlmVZYIMGy7KsDSB48swexuoJh0fazHQiktylGaXsbfTQWjC5EFIPMzxZ5vFHHmSFoOIXfMcrz1EJClxHcWCkS8UvqIVl4fN8z8eTCYFrKLRBaVAIjAYpTblgKkArUMbBc/UgcECUjd7EYoCBIPI1gZsTegULcUAzSgEoEDhaUGgXhIOUhkqQM1ZLBqsXU60KZ+bqgOGV+xYQAtJCkikHRxgCTyEdQ9yv2V4MXHxX8/qjF2nFbU5ON/jz5w8w1a7bZq/WSnYV2NqB7O5Ju4Wwzd0sa0vdQvnOUwtVHn36EMcPTrN/uMtoNWbfUJde6tFJJZ6rcKWhk5YpOhVfMVJN+NZUk6Fqwu17Wky3QtppQDvxyJRgvB7jOoYLCyF7GhlZ4bDQ8xiuJQSuLgOG/vGlA0nhkGcOFb8YfLQtZmBmBWSFxPc0vltwcKRLWkgCVxNnkoqvmFyo0k1dGlHK3RPzCETZ/VkaCu2wr9llotHFczVKCZ6fajBUKXsxeK6mUAbf01TE4uBPgDCkhWQh9sgLhz31Hm+58xwz7YiphepNfpWsbc2uAluXMtv/PaGNQNjmbpZlWZvsFgvap1o1/tM3q4xUEyaaXd5211lenGnyyol5Dgx16PXrHaQDjlM2V0sLj+FKl9ArSJWLIwwTzS4VT1Foh8jXxJnLt6ZCAlezb6hLJdBgIC/KPgt+v9eaLwuUlmhTTtqK/rHKYmhZ5t0aQa4dPKm4bazFyZkG4CMdw5m5KiA4ONwh8gvOL1QwgCcVw5WUyC8IPYUxhm9NDnG+VUfKNsOFxHcVmvK4njRoY/q7OQlmuwFn5+p4UlMLc161f47Z7ln+/VdfyS2TonQLBcCWZVlr2d1Bgy2E3nns8rW17QlmuxGhp1BaMNOu4EnDWC3Gl4rIK9OTDBrXgVeMz9MIUwSwtxFjNLj9nZhU4VBoGKsnVAKXZ8/XCd0c19H9rVXNYJtVKQyeBNdRxLmD0uWKgzGCJHPQOEhHkyuB1g7SMQSeppt6fP30MCPVhKFKji8Nw5WEJHcYqaakhSTNHXxXM90OCdyCfUM9qkHBweEOZ+bqKO1w18QsjSgHdDlrZkBrQVZIjBGE/SLx2Y5kbyPmdQdneOzpQ8x2b5Gu0LdYAGztUjb4vW6D2rJ13sdOsLuDBmvnscvX1g6RKI9MuQS+QhkHrQWuR3+wrtAaktylnfoMVTIQhpFKQqEdZnsByjiEnqIR5vhugeMY7hjvUAtyOolPLcz7fRjKAGSREBC4GqUNQpR1E8qUqw+ZcbnQijBG4AhNPcr48+cO8GfPH2a80eP4wQvcNTFHs5qx0AuY6UZEXkE1yJnqlKsQmS4YNwlJ4RJ6iqFKxhOnx/FdxcHhDo4whF5BIBULsUc7C/ClZqiaEhflkshC7LOnHjM+lDAb167yTBpGqss6aXdD1rU6YSceLOvytl3wu93OZzVb07BLCCHsdnC7hN0r3LrZZrsh5+arvGb/RRpRgnTKPVKVMRhjcCX4RjFa7VELcnJV7rYEEHkKRxRU/RxHlPUEs22fMCiLmF1HYYxDoQyhpwerDYuEKIMTYyDOXdpJgDGaZiVnX7OHdMzg96/eP8e3Lowx1arw1VPjLMQ+gauYbIUkucfxQ9O0U5/FL29jIM7KgGGuFzAUpeypxQgEL0w3GK6UHaf3NTu00gCly5WGil8QSE2qlnpZiKv8WY43uhw/eIH9Q118V5EVknPzVZ48s5ep1g3WQ9iJB2u7sYGstUPs6qDB2j1scGjdfIITZ/fy7befZ089YapdYW+9x0iYo40gVwLfVYxVFXHmoIyDEAohNNLReFLjOAYhDNLRVMOyX4MjwPM0qh8IL+5sVPQ7QgsDuS53V/I9QyPMEAJ8qXClJsldMiWoOIpCS+7eN8t7vKc5M1+jFhT4rqIepoxUE16cqeM6hkItDrQNtaDg7HwdKXXZwE0YIq8g9Ao8V9BOfU5frFMPMipeQTt1UFoQuAbHMaAMzUrKfC9ksn351KTxRpfvvvs0jSjjQjskLSICt+DonhZjtYRHnzl844GDZW0nNpC9vB1QCG1XGm6ihx9+mM9//vM888wzRFHE/fffz//6v/6v3HXXXZe9zWc+8xne+973rrgsCAKSJLm+gzt29yTLWkXvllWZMu0lcBXpRqS9rCFXDt3MY7YbDWbKNQ65FkhRNldIleRCu0IzSnH8HGGgGWb9+gMHKQyuY2hG2dKOSIBeDBpY6tWw2J/BEQYlJIUqi60rfoa7WPvgKJqeQRuHduLSiBLecCRhb6PHE6fGSYsKmZIcPzjN8YMXybWDLzUgqAUZceHy/PQwGLh9zzxj9ZhGJUNKw2wr5ORM2fX57HydO/bMU/ULCu1gDEihGankuA48dW6MuV7lMgG94fihaRpRtqLvRZL7vDzrcXikzfFD0zzyzeqGv2aWZdnV+ethd0+6if7zf/7PfOADH+BNb3oTRVHwi7/4i3zv934v3/zmN6lWLz+L1Gg0ePbZZwf/vqGZZNEvhDZ2adCyBpyd8eG1HuONLscOXODAUAdfKjIlOTtf48TZdaS9rHGM77zzNIdH2vQyiRCCuTgkV2Xjs72NBK0NFb+gGeW4slxd8GSZNiQESKkGQcFiZ2dtwHXAlf2shnJXU1xZ7qRkEDiOQRWghYNG44iyYYMQELqabuaxEIekhWSs1sOXitBXOI5A43ChXeOvXnI5duACQ1HKRLPLfBwy3a1wdr5OKwkAw2wv5OmpUf7q5D7uPXqe8XqXVhqAEDw/M9Lv81CmX8WZS+BptHF4enKYP3/h8MoZ1mXB6kg14cBQh+l2xOqgQDDTiTgw1GGkmjDbjTbk9bIsa8l2WZ1fb6dla2NtedDwxS9+ccW/P/OZz7B3716eeOIJvvM7v/OytxNCMDExsTEnYXdQsqzNsQ0D8vFGl7ffdYpGmDLdrpAWLoFbcPvYPGO1mMeePXINgcOVVykWj7G31iXOXLqZjzFQDzN8T/e7OmsqvsaVGpUZfGHQi7twLC6CmsVC52X/bcrgoNy2dWl1QRtBL5dErkIpgeOUOyop47CQuESeQghDoSQznYhCy3IXJi3QEppRittvPAfQikO+dnqCI6OtQXrS2fkaSe5R8ctgoJWEfPnFg0y1qnz5Rcnb7zrF4ZEWM50KncTnWxdGAYi8gulOhbleyAvTQ5w4O776OV4WrAa+xnc1qfLWXA1OCo8RNyHwNcR2UGFZV7RrVo+3ht09aQstLCwAMDIycsXrdTodjhw5gtaaN77xjXziE5/gNa95zfUdTIhdMatqbTD7AXzttl1Abjh2cDHtpcniQD8ufE7PeRwebnHs4DSPPF3jcmkv441OuUrRbOO7mqxwOLtQ769S1FYc41vTI8j+dqtzvZDZXoTvaqp+TjUoU4ZaiYfvKkKvrDcAVRZEi/IUBGXspfpn5IjyLWh0f1kcMBi0dghk2fAtV+BQFlzPdgPizCdqdolzDynM4GPPEWWdQaEkrtT4rlkxSE8Kj3Ya8Jcn9zPR6HKg2WaklpIXDi9eHC4fc7sGAqbadR771m2D52aklpAXDo8/d4TTs01aSUBauEsB1hU+elPlkSlJ4Cni3Fv1+9AryJXsBxXb7T22i23DSQKLnT3O2QFpO2XQsN6ahg06mU22rYIGrTUf+tCHeMtb3sJrX/vay17vrrvu4tOf/jTHjh1jYWGB//1//9+5//77+Zu/+RsOHjy46vppmpKm6eDfrVZrU87f2iV28gfwLjdS6ae9dCprzGALZrqVMu2lljLbW532Ml7v8PZXnqIRZUy3I9KuJHAVt48tlKsU37qNXMllx3A4u9CgFuYMVxO6ic9cNyzTjvpLCQIIPU0vc8mVQ+QlKNUfU/fH1o5TrjaYft1CWrjkhUQZgXQMtTDFdxV5AYVy+rcxGCDyFa5M8aVCOpq0cAf5sxpwpUJrh1w5ZGrlcxK6irxwODvf4Kmze/urK8XKwf8yU60aj7SqV73e1cx2Q84u1Ll9dJ7Tc41Lbm8Yq/V48eJQ/76tbcMGcNaGs++p7WRbBQ0f+MAH+MY3vsGf//mfX/F69913H/fdd9/g3/fffz+vetWr+K3f+i1+5Vd+ZdX1H374YT7+8Y+vviNhC6Eta9vZxCmXwCt3B0oLuebvk0IyIjWBV6x1Yhw7cGFVcW6cO5yeczk83ObYgQt84/zYimO0koBnp0Y5MNRiOErL2gXHMLlQJVWSyCuAnIXEJ3TVoEYB+jUMLH1tLvZlEIDnavLM5cxsjcMjUPFzlDF40uAI009jkviyXHHItUPgKoQo8ByFKxWNKMV3DFpoQrfgrvFZnplyaCUhYBirx+XgPI7AEczGy3Y7uux3+aXXK/tPBF5BmrvM9q4liBCcODfOWC3m8EibmU5EUkhCVzFWi2klASfOjdtdZ6ztxa5C70p296Qt8MEPfpD/8B/+A3/6p3+65mrBlXiexxve8Aaef/75NX//kY98hAcffHDw71arxaFDh5YKoS1rp7mV0wA2MZBPC7dsuOZp4nx14BB6mlxL0sJddR4jlXjFCsIlJz1YpXhhZmjVMVppSGvKZ081phmlzPcCFlKfOPO5bXSeRjhPI8xQ2iHOJaE0OOh+LYNAU640iLINNI6jSXJJkrvsqSdoLfjzFw7iCLh9dI6xeowDxIXEweC75cpGphyMEYzUEoQoVyK6qUfgF4Su4o49C+ytxXxzcozCyKXB+Q1+To7XOxw7MMWB5rKC84VaWdPQvnJTt6lOnceeOzq4/YhMyJXkxdl+TUSnZjdOuhl2St7EdmBXoTee3v7PaX/zunXfx06w5UGDMYaf/umf5vd///d5/PHHOXr06HXfh1KKp556iu///u9f8/dBEBAEwepfOLu0psHOhux8Nti9IbNxlbMLDW4fneP0nMfqtJeYFy8OMxtXVwUNgWfK4tx+V+NLJYXLiJsQF8GqYzTCtL/SEDMUJVzsRWWH59EFkkKSKUnoFnRSj1yHRPUuSe7iOuWAX2mB1gLVb8jmSoNnDJGvKLTAczUHhrrM9iJy7ZIVZdpU1S9wACE0uXZQWpIpB1doermP1hB4mvleRJyXBeEjtYTXH5rii0/fzp+/cKQ/uDeMVOKlwu/eWrsarVSmcr1UFpx3KqT9c7p9dJ6xapnKddXAoV3jkWeq131sawPZ1XjrZrDB6Y6w5UHDBz7wAT772c/yB3/wB9TrdSYnJwFoNptEUZlT/MADD3DgwAEefvhhAP7hP/yHfPu3fzt33nkn8/Pz/Oqv/iqnTp3ife9733Ude9d2hJZrP2a7L7N16xOcmJxgrN4rd/npVpfSXqrldqEnJifWTHtJtVsW5/pXWKVQklR7K44hhOHI8AKhl5c7F/UqTHeqvGp8hmaYMNuLmGzV2VPvMFxNcYxGGUE385AOeEohhSHwCoxxiHMHKUR5u3aNQgtuG5lnb73LWLWHNgLfLWskpAORl+OKsmdEUnikucPeeox0ctJCcqFTZT6OSHIX3y0I3YLhSoLSkqlOvdyedv9Uv/C77DVxdqHOiXNXWi0oU7n21npMdSr94u1yFWVQcH5gmkeeXUrzupLZeNlxduFHtmVtmZu1qn25sdgOGKPZ9KSb6F/+y38JwHd913etuPy3f/u3+fEf/3EATp8+jbPsS3xubo73v//9TE5OMjw8zD333MOXvvQlXv3qV1/fwbdrTcMWDd53ZQBl7ToXOnX+3+dv59i+KfY3W4z202ZOzo5w4vw4Fzr1NT8W5uIK51oNjo7M8fL8GsW51S4vzg4PZsJPnBvne+56ntdNXKDiFcS5y2wccWa+QTNK6aTestoKQycJ0FpQDXJM4ZQFyzj0Mg9HGIajmJluRD3IqAY5U50q3cwHoJ2GhG6Hil9QKIeskCAErqNwHIhzD20EntRMtyvUghwhYCEJmGzXgHLv1kx55P3UqoPDbe6auMgbD56nEaRMd6ukvcXC7znG6j0ee+72NQOHu/bO8NbbX8Z3FePNLkoJ5pKQswsNWknITK/KgaFyh6XZ3uW7QlvWtrVbVuy3elV7q49/LXZRftKWBw3XMrv9+OOPr/j3r//6r/Prv/7rm3RG24AdvFtbZZesNk216zzSrvXTXvq7/Fw17UVw4vw4Y9Ueh4ZazHSXUm7Gqj3aachT5ycQwmG83ub4/gsY4zDXizhfuCjt4LuKo6MLeFLRisudf0I357mZUXItyZUgcnNes2+a2V7EixeH8aTBk4rXTExR9TNGqzGZkozXutSDnLk4pJP4jEQOjsiRjkFrqLgaKRSFKtOfBOBJReQXxLmPdIoy/UlqMrX0xezJchtZRxiO75+iEWa8PLe0PW2SO7w83+TQUIvj+6d45Fsrt6cdr7d52x2nGKnGTLWrZIWLKzV7qj3qQcazF8bopD6jVUXoKTtZsU52hXiL7MbU5i1hn+cr+c3f/E1+9Vd/lcnJSY4fP84//+f/nDe/+c2Xvf78/Dz/4B/8Az7/+c8zOzvLkSNH+OQnP3nZ9P5LbXnQsKWkA87au6hsCPthblmbR6932VyUtQtL/7yqqU6Dx164nWP7JtnfaC+tUswNc+L8BFOdOgjDsf1T1MOUC51av0tyWG6umsNEvUPVz5jtRhgEVWnItctCUgYRSeEz2Uro5R6j1ZSZboQR0AgyRiox2jjMxyHaSGpBRuAWJIXHbBzRCMuGZ9pohCi3c22nAmUEoSxwHEMnDZjrSQ4Pz+FKjZT9LZoAMNSCjFbikynJaDXmQqe2duF3r8L+ZrvsyjxYLSgfe+QVzMchBgcjBLmWzMYRI1HCgaE2L802yZR72eZt1rXb8qDLfs9Zm2jL39/XYgPSk26kH8XnPvc5HnzwQT71qU9x77338slPfpJ3vvOdPPvss+zdu3fV9bMs43u+53vYu3cv//7f/3sOHDjAqVOnGBoauuZj7u6g4VrSk9bzgbgT3uyWtRluxkDimrbb7BfwyoJUXctqwtVNdZs88nxj7ft1YKTSY3+zw0yvhiMMykhcacj7s/md1Gc4ion8skGZMpLCyMHnReAp5tMKf3n6EIeHFtjfaHHn2AwawWwvpOrnCARKC9LCLQMFT+EKhUGQa8iVi9EQBTlVv8CTmkJJ5uOQZ2f2EOcee2o9GmGMFHqwClELMpLc7QchNYaihFSt3kkKygZso25C4OnBa7H42M+0hnClYazSLbdr7Xeq62Q+Q1HCwabD09PjzCZVO2N7vdYdLG8w+z1nbaYd8P7aqo7Qv/Zrv8b73/9+3vve9wLwqU99ij/6oz/i05/+NL/wC7+w6vqf/vSnmZ2d5Utf+hKeVzbNvO22267rmLs7aLgWO+ANa+1i23WWbxv83YzX2hybOM/+Zmuw3ee5hQYnJveVKwLrcvlVisBVZZ+GXtlEbT4JGav2Bv0JeoVPriX1MCVTLjPdKt3c7z9nhrFqzMnZYZ6d2cuzM3u5fWSWWpDy7PQecuXwpoNnGa32kIXGGIeFJGA06mGEIM59HGGICxdfKpxcE7gKpRymOlVOzw9zoVs+9tMLTfZrQTNKiPyCTLm00oAk95jq1jkxuY9vP3K635V59Yps4CkyLVesFix/7GdaTWpBxkgloZP5FNpBCBiKEs4sDHFict/W5Ctv17+Za2V7U1jb2XYLaneYS5sPX273zyzLeOKJJ/jIRz4yuMxxHN7xjnfw5S9/ec37/sM//EPuu+8+PvCBD/AHf/AH7Nmzhx/5kR/h53/+55Hy2rJudnfQIJ3d/QG80788LWy+59rGa23efvuL1IOEmW6VtCi3Ez06Ns9YrcdjL9y5AYHD2lLllX0a3LJ24OxCk5rfHzynHgLoZD6eoxAoupnHUJggHU3Fy2lnASem9g8G1HHhkymPubiCNg5fOXOQ105MUXEz2lmIIxT7G216uU+cl7NHQhiS3EU6Ps0gwfcUuZacbQ8ReTljlR6n5kf4f55+Na8Ym+FAo4UjDK004Fyr2Q+sahweXuDo8CwvL6yxPW2lx8m5EWaTpe7ayx97Ow15ZnovB5sLDIUx0tEIDLO9Cv/55O1MdRtb8/bdBgHttmO/C6yNco2Dz2u2AwqhN3L3pEOHDq24/KGHHuJjH/vYquvPzMyglGJ8fHzF5ePj4zzzzDNrHuPFF1/kscce47//7/97/viP/5jnn3+e/+F/+B/I85yHHnroms5zdwcN23X3pI10pS+DW/2xW7emqw5wDMfGz1EPEl6eH2Kpc7PPy/Meh4YWOLbvPI+8cG3bfV6v2bTCufbiLks+rSzi2Zm9HGjMMxQlDIUxs3GFl+aGmai1eMXYxcFKyMsLTf7i5duY6jUGHZdT7ZJpOZjxb2UVvjE1we3DFxmrdWkGCdIxzCc+M90GAENhTMXPgTJAqTsZrTSiEaZlDcb8CCem9jPVqfM3M/sYiXpLfRDiCoupVicu7Ges1uPQ8GLhdxkQLBZ+n7iwf8XEy6WPvZ2FPD0dUPEzPEezt9rh6em9PDu716YlXa/N3K3HfhdY29VOeG8acUM1CavuA3j55ZdpNBqDi9fsMXaDtNbs3buXf/Wv/hVSSu655x7Onj3Lr/7qr9qg4ZrshqBhM2s2LGsrLL6nL/PeHYl67G+0meleroC3yv5Gm5FKvDLFaONOkBMXDjBWjTk0tMBMr0onD3hpYYSDZoEzC0M8dWGC24bmmE2qnGkNo43AEYaKn3FsYoqZuD5YCZlNqpxrN/sz/j6NIOWOkYscaMxT9TMqskBg8B0NCOLCI+54BP3C50DmLKQF/+HZVzHZbZY7RS0GBqI839lk7T4IU90Gj518BcfGz7G/3mK0EvcLv/tBR7d+Sdy1+rGnhYvBoRHGTPfqnLhw4LpnDw1QhD7GlYhC4SbZrbvGdrnPZBtkWbeq3bJ97TVoNBorgobLGRsbQ0rJ1NTUisunpqaYmJhY8zb79u3D87wVqUivetWrmJycJMsyfN+/6nF3ddBgHAcjl3157coBtP0i2q6E/SC9sssExIGn8T1NGq+9M09ZwBuXBbzp5ix9T/WaPPZSf7DdaDHqxGRa8vTMBCem9nFs/Dz1MOPlhRGW/w1eTAyHmvMcmzjPIy8u9YIoB+I97tozzb7aAnsqXRBlwfPF3KMZJIzXuggHzraGiQuPVHugDXuqHV6YHeW/XDjMYPniOh72VK/JIycb5WrEYuH3IOhY/R6d6jZ47KU7+4FGm9FKj0y5S6sb15mWlFVCunuHyGsRRkqEUnidmOqFefxecu13tFPc6hNZ28Gu/K7fxi7TcBbYIelJN78Q2vd97rnnHh599FHe/e53A+VKwqOPPsoHP/jBNW/zlre8hc9+9rNorQe9z771rW+xb9++awoYYJcHDatWGtb6sLYfLtZWMAZjZxZvSGI8MiXx3YK4WP1BGLgFmZYkxtuk59gwEvUQEr46dQimIJBqMNguV0JaTPeqmFWfOYsrIS2Gq0srIZNxk0dPvYL3vOYJ9lQ7uI4mVS693Gc6rjET57xyZIaxSo9CSU63hohcxWilQycLeeSluzE3uL10GbyKtVdlLjPAneo2eeTFywUa137srBKycHgvKvBweylOkaJdSdqsUUQBzdMXbs3Awbo+1/s9bQOznWMnvFZb1NztwQcf5Md+7Mf4tm/7Nt785jfzyU9+km63O9hN6YEHHuDAgQM8/PDDAPzUT/0Uv/Ebv8HP/MzP8NM//dM899xzfOITn+B//B//x2s+pg0arvaG3Alv2MuxAc/OtVPed9vwPTabVDnbaXL70CynWz6rOzf3eHF+hItJlSIKMNJBKL0hKS/j1RbH9p7lQL2FL8sdic62G5y4cKBMARLLdhi6zEpIoj1G3JjAVSt+nxsPR4AyEqMdQOC7iqEwZj6p8OLCKAdrZd2EcBaIc5cX5sZ45KW7+ZuZ/Te4qGgYrsWrB/7X6GK2rNj8OmMWA3THh1Ghj9/ulUd1BFJrnE5MVo/ojg/hnpqy66W73ta9A+yK8CbbKd+FW+CHfuiHmJ6e5qMf/SiTk5O8/vWv54tf/OKgOPr06dODFQUoi6z/43/8j3z4wx/m2LFjHDhwgJ/5mZ/h53/+56/5mLs7aJBO+bPZtmxgZf/Ybgnb+Utpm36gn5g5xFgl5nCzzKtPlEsoC8YqXVppxBOdO1i4bR9ZNcI4AqENfjemMrOA30tv6Jjj1RZvP/w8jSBhulclVS6BLLh9eI6xSsxjp1/JVLdBqn0y7RK4irhYGklXvQzXUXhOudNRqv0VRcYHGi2ODs3iScVCEqJN2bW57meErmKqW+N0a4hYBfzFmdt5aWGUF+dHAWd1OtI1fCYNAqDawqBQ+2ynyYkLB8oUo01WhD5ZLcKNM8Qln2VCgJvkZLUKRSXES7JNPx/rOmzDyYTNYq6UWmOtm7meXMotspG7J12vD37wg5dNR3r88cdXXXbffffxl3/5lzd0LNjtQcPNKoRezzF20YevdRnX86Vk3y8ATMVNHnv5Lo7tPcOB2gIjTo9cS15sjfJE63a+NXYnyvdw4xSnUCtSXhpnpvHj6w0cDMfGz9IIE063hhns2KQkp9s+hxtzHBs/yyMvNZjNqpztDnF78yKnWz4NP+FAY57hIEY6BVU35+TCCJ6rlhW/Gu4YmS63Ui1cQGAoOz13c5+qnzEa9egVHtPtOl+fPtxvnHa5873Ce0qbfgD03OoAaGiWsag3CIA2k3ElRjo4Sq15uo5SFLIsjt6uweuutfz1sJ9J1nrslL/tXfI239VBgxFijZzibWa7n98OI271LzD7fhmYSoZ45HSTkbA7SK+5mFRZOLgX5Xv4nbi/eZBAqn7KSy2iN9bEOzN9Xet0I2GXA7UW03FtjddAMBPXOFBrMRL1mE1qnJg+xFjU5e6RC4xEHVxHkRSSUCpSJQllwduPPMtjp1/FVK/BSNhlKEg40xnituYsoZeXDeH6Z5kWkmYQkyqXFxbGQBj21RbKlKKkyrWvOhpGqj2+8/Dz7K21+dbcHsABAbGWnO74HK7PcWz8HI+cal7H/V4/YQzCgPY8pFKrfq9diTD9v+mbsWJ8Obf6Z8q62c+kK9rOK8nbgf1O21Z2ddCAFNc3i2ttjQ38Ujb2C2xnu+5mo4KL6VJefRF6ZNUQN8lAiFWTQzLNyWoRRRTgpvk1HyXwNJ6rSGIfs8ZuH7HyGXF7BJ7GZA6TyRCPnrmbH7n7K9T9lFw7jFfLgt5eEVDxc147dp7MePz75+7p37/mpdYe6kHGvsoCdT+j12/mFnk5rqOZyyo0wpR33fk3g5qKc90mT04fZKrXvOJjGK8scHzPGe5oTnP38CS9wkc6hjOdYVpZNLjedNJgf73FcCVeuVXrBpO5wu8lJPUKoptcUpkCeegTtnu4WXHZgYUBisAb7LrkpvnGfwLYQc32tt2DOjsGuQqbnrSd7OqgwTgO5iodoW/5memd4GZ+KdvXe3tbZ7NR7Uu0K3HTbOV3Uf9ld5SiCD2058C1xwwkxi3rFLy1d2wK3YJMuyTGHRw3x2UurRAXHkfqs3RzwWxaodAS11EMBz3unXiJp2YPMB3XybRLajyenDlEb8jnQG2eup+CgExJpuIGnSxgLOpyIa6Txv0u2M0ZxqIOj565+7KBw3hlge8++AwNPyFRHr3Co5P7jFU61PyUZ+YmBoFDolxGZUHoFbCJpQQCiObb5FFAVg9x4xxHKbSUFJGHzBTRfBvk6uAPIIsC4pE6WSVEOw6O1vi9hGi2ffn0s+sOSq1tbwO+P+w4YAvthKB8i3ZP2gq7OmhActUof9XMtP3wuHVpdsYHlHXDHG1wtOnPPC8bIfZfdi0dHFO2HyiiYDDYlFeZoZ7N6pzrDXO0McPpzho7NlW6nGyNMZvVB3UKoafxXUXNS8GBqaTfl0FAbhymkzqH67Mc33OO33v+nmX3P8wTM7fxzHxK3U8QGOpegiMMmfE41R1lsaNzrCWnuz6Ha7Pcv+9F/urC7SSFx2y6PGXJcHzPORpByqnOKFU3o8AFx2E2rTISdjlYn+ebcxEgygDIuCSXFGpvBj/NaUxdJB5ukFVCCsfH0YawkxDNtfDTfM1zyCKf1sQYypN4SYqrNEY6JPUqeRjQOH9x7cBhnUGptY3YFepbgn3ut5ddHTQYIdbcp32NfkXLfmnfwDvG9X5p2AHD9rfOgYBTFHhJQlqr4K2R8lJUAtw0o7OnSRGFaEfgaIMXJ1Tm2lfYpUfw5NwhRisdDtXnuJhUSQqP0M0ZDbu08pAn5w6taCYZGw8pDKNhl3Yervps8RxNOw8ZiboMV+JV9x8XPiYXjIZdOioidHIuJI1V99PwEkbCDncNTXKoMUcrizjbG+LExUNMxk1Ggi77a/NcSOogBF0VMJ9VGAs7zOoKnTxkKOhR9TK6hc9o1OVke4yLRW3jUiuuMMPvJTnu+YuowFsVxK1Vk2aA3kiDwnfxF19j4SA0eL2UvBrSG23gnrtohyM30U2frbff1Vtro17vHfE6CtZfu7MTHucuDxpwxLLdSZbsqLUEW0R1eTvgw+aKAaq12jpfUwFUFroUYUBeC3GTHNGfhS5CDwwUgY8JA7wkQ/Z/l9YrFGFAY2p27cDBGCaTIR4792qOjbzMgeo8o2GPTLucbO/hxOwhJpPmiu+F2azGTFrn1SPnmMtWN06reSkXkzralLP753rDl73/ybjBfXtfLLtAL3uOGl7M3UOTRDJDGcl0UiNVPkfrM4xFXR47+yocofGlItEeynMxQnA6GaPqp4wEPbqFj+so6n7CSNilXUScmD28rk6tBlC+V67sKI3MrrySIwC3KJYuuEKwonyPvBriZdmqUxSAm2Xk1RAV+bjZZXLQtsmK8vU+T9vZtpkxtiloN8cGff8as/1rGmx60i5hnLVXGnaUnXb+O+QP42bZ7k/HzZgdHAyMFmeRN3BgtNZ9u3lOfWaOXrNGHi41d/N6CdpzKXwPv9efoXZAGI0Xp2SVkO5IncbU7BrnV15yPh/m/NQQo0GXwMlJtcfFxVSgNT5tn2wd4k17T7In6jCfVciNxBNlylKsPKbzsog7EQHGdS57/6NBl5TT+N7y3g+a2xsXaPo92nmIEIbcePR0wOmez+HaRY6NneGrM0eIZYAZCejJKghBbGpkKuSoPs9ed4HILQjcghfa4zw5e4jJtHnD9Yl56NMbqpP3078QZQF6Zb5NuNjEbR2UJ9FSItN8zYGL0AYtJcqTyOWByMprrfMsbtziRMKK56kfNHhxSmX+Site1lXdrDHoNgk8LWsj2aBhpw26d5A1Z9Ht0709XOMX2mZvSZwHPnGzRhYFGCEQxuDHKdFCBy+99oFRGRy4y4KDguIq912fnltxGwMs7NtTzj6vsbOSm+VlXn3olTv2XJZgJl/WCfkKg5Sn2wf4q4u388aR0wReTkWk5YpAVudMd4imn3Cys4eZbPlWroKZ5Z2WBcxkNc7GIxytTfNyd4SGF3NHbYpXNC6gEYyEXWbSOo40oMul9Jm0wf7qPFn3lTzvH+SOaIpOL0To8rNxxh1mVtV4s3qW5zsV/t+pV/F8e2/5gOTaz/nV3i154NPeO4zyXEShUb5L4XnoZo3uaJPabIvazPx1vfaXEhgwBu1JHLV6WllLB4xBYFaki63XRgXYiztDtfaOoFyJl2bIbLEmIyKPfBoXLrPitctd9wTEZq7U74CV7p3A6B3wPNqVhl1ip265ukOWV3fIDmLrtxNnlLbBF1oe+LTHhtGexM2W0oTSWkQe+NRn5q5p8JgHPnGjRh75GMdBaI1TKJTnlRP86cr7LgKf+nR5326ugLIHQBr6KNdFaIMRAkfpFQMOoQ3GcdBSgihvszhwVo7Tb0Smr3kA3b9X/nT6VXhSszdosVBEdPMAbRxGww7tPOLJ+cPXUHAseHL+MGNhh7ua59kTtKm4GQKDNqIsWhZwd/M8z7T20corJNpjRHZhOOCv87sZd+a53b/AdN4k1j57ucDdjXOEJiNXku8c/xZ3NKZ5cu4wL5u9ZUAWLj3nfpJdMdgzQDxcR/kuTlaQ1ioY6SALhcxzisCnN1xHO4LG9LW99muReYGfpKTVCK+3Rt1K4BN0Y2RebOgkxkYF2AboDdVRnrt0/qLsWu7FKXklpDdUp35hrRWvTbBDPt7ywCceqpGFwVKX9yQlmr/CBMRO/P6/gltyl6edMLFrxPoHPDtkwLSrgwYtnXLWaZNt+B/yDkjx2zau8tQbKPO4+wMfmV/rYG+5nfHHvlXWev8bIB6qoX0XL14cGIHQGi9JyaOQeKiGOzN3xWc3D3zao0No18VNM4TO0Y5Db6iOcSSV+QUco5fSjPr33RuuUV9233ng0x1qkFVD8kqA0AaZ5/hJiiz6AYJ0yj7MwmBcUQ5S6lWSakQRLu205CYZYbdH1O5e08D3fDHMn8y8luPNUxyI5hkKYzLt8mJvD08uHGGyGLrsJ/Xy9+/Leg+PzLyaHz38JWp+QqYkRghiFTCd1ssgwe1xoDrHwkKlbHjn+LT9GrO9Kl9M3sg91Rc45M1wJLjAYX+GVLs8kd1Bu+cSkXK0Ps1wNeb31RjzRLhZhsjyMiCrRuSBR/0yKwWF55JFAU6Wk9YilO8is7yc9RcCmRcYV1KEAb3hOvXpK7/2VxJ2euShT17tn+Ni3Yrv4xQFYacH0tn68fAafxuF55JVAtw8R1wyYBKAm+dklYAi8HDzK6143RyD92A/ze/GPkPXZ9UERH5jExCLdmqt2bapG9lAO6KmYRfZ1UGDccqfjXbpB8627zp9q7jOdKjc98otGIOlmSkvTQnbXbzLFUhuAxsT6GycqwXFa73/FweQMs/BWaPJWp6TRVceGBmg16iVM7JJ2q9BWL56aMiiEKe7Mk/+0vvOfY/26BDKLQexynNxtKYIfLTnEnR7OIUiD/yy1kEp4lqF9kizTM+RZfGwUyi0dMhDDyOr5QD64vw1vZfOZ8Ocnx5i1O8QOAWpdrmY1VjcOnUtue8R12vkoV8WJRtNVMC0anBhtkFhJLdXL9DwYmJdbgPb1iFDYUyYFYx4PZ6Px7ngDOGajLNqlDOtEUb9Nj/QeAJdCL4ZH0B7PqHs0isEp+KAidEOb9QnmZxpIig3kxDG4KYpeRTQG1oZkC3SnixXZSKfrBqBLrs6O0ohc4XQGi0EjirKQXF444Nit8ipzc6XK1ChX66sGYOXJEStDm6RYzZollkYc0N/k+VtvFW3MZ4sB+BZvubnl9AaIz2MJ0Gv7pR9My0Gzvmy2X0vSa85YN4IKyYglq0siX4NSB6FxM0a7nUEoTtk0ndnWOek6U54LYxZf8LBTlkk2t1BgxQ39MVxtVmIHfLab3/Xm296HS9l7nt0R4ZQctnMlOOQVkKKwKM6e22DvZst9z2SWpUiCAbbgbppSthZf6Bzo7NrNxIUa7ccGJHna38pmHJgpF2JUWsPjArPJV8MPMTS3512HHAETlGgPRftOoOZZtMfPGrpoF2JVoq4uRR4yKIglRW0W3YQVq4kjUJkXiCVws0y2nuG6Q01yT23f1yBl2Y4RiMKjXbLIEK5LnGzhrw4f/m3plkZBE5qH5kWg5WXy8l9j87IEMrtv391jnEcZEUgqi4X5quIwvB8b4JX184y4ndp64hEhtT8nP0jHc7mo/xF8lq0U664GkdQhAGJbwgiw3P6MHno4+h+PqQAJV0mzShHnCnGvBYzxcpmcTLLycOVwd7i40uqIWkUliv5umykt3if2nH6KV0GoRXaW/na38ig3C0KqrPz5FFYBieFwouTMgbbwIFIFvirgjcvyYjancv+Ta4V8C3eRvRHINqVS8/9Mtpx+iMMs6U1eYvBtnbdlZ+hiytOVwqYN/BLcjABkV1hAmKdQeit6OalMu2CtB1b07A7GOfGgoZrem13yBtgW7vMa7PepWMDxM06hefhpimmP4AUxgxyq+NmHTl3hcHeFsg9j+5QE+W6uHmOu+xLugh8qvMLePmNBw6Dp/Vm7Jgkyk/ZKw6MMBhh0O7ar0K5S46DU1wyeOrftxHl33jueZjIRXlysHwvjCH3XYww5YCjKMpAw2j8JCb3g/L+HQcdBrhZihf3iJs1Ct9FyzKdpgg8jCgH2ybPkIVCaFWm3hTlikYeeiu3C+2fogHSKCKpVcr6C+jXQ2T4cYqj1GCQLBafI8cBrYkbNZTv4qVpWZ4iBQJDnkFSD3CqAt2BBV3hm70DHKjMUY8yak4bieKFeC+Pxcc45U6gfI/CdzGiDBwqJEQmZVIPlQN1pdBSgCNRrksiA/YyR+gWq77QBQbtOmhPYowaBLm575NWIpTnsvhOE0aU/20URkry0CPoJf0cZlO+XjJASUkWBSjfX0oBy7KrBsqDANvzlwXY4XUF2FcLVlZNPvSDt7RaFsyvNflwtdtUZudxs4wsCpdW0JadTx54+HFSBldblJNvgF7zklU+UaYAumlKEQRXD5g3iPaWTUCsuSrXn4DwJGaLV2Y2zQ18ZO+UVCZt05O2FRs0bMJMjTDGprlvhv4H43onHgrXJQ88hNHk1QglXYwoB3JSFTh5QR6UA6lLB3tbxQBJvVp+Sacrv6S9LCMPfJJ6FTl/nV/Sa6Z0bf6b19Gq3I0oDPDSbHWxqu/hJymOVlf4GzWUAwK5NKimLFh2CkXh9/suRGG/sFkhjC4HrgbiRo2w2ysHhKYYPG6pNCbLMDIsgxbHofA9lD+MAdw8o/D9clZTumjKAmklHdw8R+aqv6IBxnEwUsIlqyWZ79FtNojrtTIVpV+87ShFUo3ojDrlSlt/ZQTKTtayKBD91CkvTga7PBnKY02JEU5no7wiPMf5uI7UmnlVYUqNEmUFd8pzPJdO8NnWdwIOHlk/pap8jrwsoyd8EnxCt6Cny22SkkYdocsgJvQKeqZC14lWrTJpx0EYDRiywB8EuU7/8cs8H+xuQz+la3GVSIhydSgLAwSCznAD7brkvl8+71kZlBkgiUIKz6M6v/Zsdu57dIeWVmLc4tIA++oribnvkVSrZd8O4fQHxBlhtww6DOV7KPfKmXbtOggtEP2gJg8D4kZtxeTD4m2KS1LqBGZwm6RRI+h2KQKfrBL2A4vy/AvfQxaKIO6BXD2rvhnWmqRRrksRBrhFsWbdhVTF0orTpn+GmjJFzF35OTD4reP0Z9XNhqWkbYr17OS0jR/Weu2ImMEWQu8ORpY/G36/m/AXLHbIjkk7gZYOyvNQUoLjlIPJ/gCt8DyQ5f7tWjrbZrs35brkgY8sVqbiLJJFQR74KN+7wt7zm+NGlrkFEMZdlO+Sh345+FgcGLkuUinCuLuiOZehfB6Wdkgq8PKcLAjKRl7L7tvNywGY6r++bl5uo6qlRGqNF8doV5JVwjIVynUGAw4lJXkUDWa1KTTCGLJKgFQKo8sAo2yEVgYpQusyJUmWPQLcougPUDQIveJzpvA8Os0maaXcPahMRSkHx+UuObr8f6Vxihzl+2Wue3+ALfOcwnUhCnFMXN5n4A+C3y+J1zEqexyqTTPXjeiJkNArGBfznM1Hebz3ukFjNkH53slEWWC7GHicMuPcLU5zsthL4XoUjsRLy12O9vmzPM0RzoTjBDpBLkshKnwXP0kRuiAeKlcq3DTt5+6XQYJIyqDHSEnhgmMM9J/7LPDAdcsAqoDClRT9IKOIQhytEf00sXIL0tqqQLkMsGsrA+z+wNxL+wF2bfXtlisWV/VkuaqHLsoUq1qZv1+bnUMYQ1oJ0dIjDYKliYeiwE2zsl4m9Cn8pYFz4fbf73mBEKsH24u3CbtdqgsLJNWyNgbhgdH4SUrY7Zbvr5uUmrTWX/fSKl+xdnqiKYNt7W7+7L6jy/fl5SYg8muagNgGrnRuOyXhfROYHTCYFmb9GRA7pfh+lwcNN5aetBU2I7hZfZCbcIxtwMhy8KkdB6nyZR3gDUIXKLfsqmsk6OsIADdyn3Yt3UFhoaMKtCfKAabOL/Ne0OWstycQa9x+ve/ytc5pafZUXPU6a3EoiLotkqiC8n2McMuC2iwljHs4phikJhWet+x65ayvzDLcPEMYjzwMcIpyRla5HllY5s4jRDkglxJHK5yiQOYZjlGgDYXv4hQFhe8jsxSALAop+jnwWjrIPMcxCmEU2hEUnotyBEV/wI+U5Z/OYm8HITAYHN8liGMEavA4DNCtV8kCvwwwHAfR3zVKGLG0pasxSAeMKwGD6bdXMK6k6O/6k3seulq+dc2y4PeMM8oXivt4i/MN7qyeYYh5um6V59JxvprcyTk9urK4uv9t5aYx0hi0EHwtP8K+ygWOBNOcNyMkxqcqYvb588znVb5S3InyfLII/F4XHAflejhKESQ9dOCRhz7CaLJqROG6KM9Duy5CKWSeobVbvj791RjjCITj9E/NkPhVcteDfpBoAGPK4D4LQ9yiIMUQxisDZdUfmEuVg7NGgK0L8shHJWsH2OVqQLmq52ZpmToVRWXAKkQZjHouQbdLHkXla7V84sH3yv4KcVy+nq4zGPhot7/yVBSXT6VxyjocL8+ptBfQsVsWiBuDU/SLpbf4e0sM0gudy6cXCgPO2umFG51Pfy0TEIu9RXamq7zeO/eBXdV2mbizSrs7aNik3ZNuCTv4Q2gweO039Lp08Gqc/krglSZ2RP961/E8LOXL38hZlwrXI40qFJ4/OH83z3CzlLLwUfbTPy49X6d/e5ekUl11+yDu4RZ5/zyvb3B/uXNafp9rXcfJM2RR4GDK2f4sXbURkNQFlW4LnSydjygKjCxXVoQuB7FxvVGuEuQFjikwokypUZ5HEPcoPL/MXfdlmTqkNX6SUPRTW7TromT5cZf3B7gyz8Bx8POUVEqysFKm6vgB9G8jtMZPyx1ZytfVDHa8QThw6ZbNQpQDYc8jNeXsfeH7g+cpDUKSWqNc7fL9MrhQ5coCiwWuQoAoXyNQZeqFEGjfL4+x2LPBGJTvl89tmpRNzQRoKTlTjPI58V1MiFnqRZc2FWaKKlIahFOu0gzOXDg4GHAE2kDh+5yUB/l9It4knuOInGRcL6C14Vv5BF9J72RaV5F+uYKQhyFSK9wsIYx7SJ1TeB7KdVFSlgGNVmhVlAGRKxGm3A5WqqKf2uNiTL8gW+nysTkCXLf/nICDLgOIouyvUEiJ8H2UK3CW/c1ptwy+UFfIcXdc9CW3W/y7KPpBp1PkaFeShtEgKHO0QRuHLAjKWhnpILOsvPXixIMqykA1CsugVphBoC+EQaCvONgWwqy4jWOKpfO8xoHvWn/jrHHZjQ7HhCmQRUYRhJCtrrtQvoebJuVx11qIWGcK5OLf9PJgqtJukVQq5d98fwLCy1LCXg+pbt7KzKa50gu/wx/aleyI180WQu8OWootKyS7ETtl+WorFa5HGpSFpabfEEkWGUGybNAsBVIXKCEHA0NhdL8Q1EEYhdSqXIm6oQKzGz/3uNofHBdF2aVYLA5QXIRRFJ6LW6xRA+C6OKogrlYxl9w+DQIy3ydMuqA1uR+g3aXB/aXPz/L3WeF6xLUGyunfp1k6J+W5RJ0WwKrr5J5P3BxZytfXGjdPqbQXCNJ4cN4rg7sc5Xqk1SaqH3yUOx1JQOClcVl2IECgy0GL55MHPlFnAS1derUGTl4OFnAcChEMerEIGNyn8twy373IkSrHT3tkYZknXw6q+sXHxpAHPl6S4GhVzphLiZbeUr3B8gHQYEBPOSMe+OA0Bs9Tr94ouyErhcGUqVGOg14eTvWLnY0oB82Lqxcr9FOYFlOu8iCAPCvvyylXVYTSXBBDzFAj9aqYsF9UbcraCD+JkUWO8hxknpH7HsaRZRChFWeKEV4Sb2Wv06JqYkw352JRBQQCjZ/GFBjCXhsvzwaDUC0FWixbzStyjHDK9w7lqoySZU2D7Bfzm/5rKvoPS3tuf1chM3iOjS4H5sYRZSG5YJAOZtSlKwZrB9jlscvzUlIOznl50KtcSe4FuLksPxOkM1iRWDxXRLkDmNC6XA1atmIhKFNmCt/DT8uVpsWVAYFCFjl5ECCy1X/Hyvf6KVXq+lYTLvmbHQTwi4F4P0VIu0sdvN20XNFb/Lu/XkESozyPIggGtTbGcQY1LEESY9yNr7tY6/EtTmJEl0xADN6Tl9lMYdEt2RRtK2zC07jGHNn2Y2sadgcjQbs7ZzC+5ae55SdwZUp6xJU6WspyJrU/aF5MJ4h6bWR/9lGgcIsCJb0yNYJyVxehin7KksA4V/+yuZzrfU8ZIK1U0a5E5tlSoTMaqTKU5yOUQqAGDaoWA50y8FH9wtyVtzdOOagsU0miwcHcvJ+Lbky5favnEnbbuCofvMwGSKpV1OI5idXnFFer5XO/7DqF55FF1f7qR39gbDRpGJH7PvX5GaQqyMIKhev1i2fpb4taplctvn7Kccn9oNzL3y0Hw8s5ukwtUn65+5CRElflCAc0ukzpccr97Ms0HglOAbpAewFaKzSKPKjh6By/l1KElf7gerGpm1umLxVZfytQj34IwmWn+Ey/e7TrkgnQ9TpQ1kGgi34Re38wbDQ4ksETDP3gY/GVWOMYy1fKhMC4Hll/5t4x5cAUIHf9MgBbfCkQZTG465FUJTJL8YoUL43p1Zso6eHmizPnDjgOF3QTaWpIL8cl6587aGPKwMcpA3FNWRhuhECJcnCtHYHpp5QtnrcZrKqUr5fTf22E0gi3n5zkOOXKXX+VwSAGz5HuP/VGCByTYValwCgc1V/hyZcG5tqR5P0VKUcrevUGsshwlCILKygpkUWOUAVCev1ainIXrMJ1UY5ELBaeC7GUlKd1v5P40uTD4raobpGWtXPLzs7LeuV2wb6PVEt/x0q6OFrhZb1Vt7na6umiVRMPSqOkS1xtlKslRbmtLYZyMiIMqLbn1gwcrvYZJk1O1GuRhpV+kN9PL8xTgqSHNJdLpbxxqyYxiv4kRhig/HISwy1yWBxoXvPKzAYO2Lb59+R2ttZ7zqYnbS+7O2jo7550tb9xOwtxDbb4KTJAGlX6X5YrB92iyFCuTxpVCHsLCMrAoHB93DyGQg6KGDEK7fr92fzL5R1f2/lc+m8jln3p65Vf+spxKTwPoYs187CFLlM7grhD4QX9uosydUMWGW6ekka1FbcvB0lhv3BYUfRrNQSCzHWRKsdRBW6eoaQkjSo4vYXBeV3LOeV+UA7y+/njGkiDMp1DqAJw0G65U5WG/z97/x7j23bddaKf+Vhr/V5Vtd97n3N8jh0/iAMh8Y2DnUTiERJ1IhpERBRFPBqCWm7+aDcQ07rE3YEm4eqaCBqFDgg3LR5CdC4IiZt7RaRIYG4QD4O6TZuElu2O7ZzYPufsfc5+1Ov3WI85x/1jzPX7rar61X7W3rtq1/pax7vqV+u31lxzPeb4jvEdYxB9xu6Fq/hqBtYtozut0YQIg8U+EJPW3SIiBGeos5y8mh8aRZKaJK9stAYXY3L82OXzLS5bXpVIpv7uGBAiTV7Q5JkaYhKJQeUyhGSXx6hyG5vGiDlo4B+50iaRzpQYbR1NXgBGKxAZS0xRCjWgW8vq8P5aYrIG3QzxGBOJUNJoKjXsg7EqcTKanIvRKIQWdooqBcozbKwJo/EyehKynCgBG+Oy6hEhUucDNY6BgBqxmlyKesmMEhKDHEgKN6TkbomATdGMFPGxjmCdlow16qnWaZQ0A5IIh0nTIctKS8DyOC7WB4zqvJoRM7ck2GIMdTHUMTcNWTXXbtnjTYLPNHfJCDYO0zUyGqGyPsnE2surlaHacrjiHFldAkrOJT2TNur8qZPi4HV1sWEw36MqRgSfIdYvI6K+LrVfRpYdiIKstm2jpxod6xr7+g486HgQA01WpGfMpP4ltd4LSeI3kw0mu2sanz3EO93FhuFsdy2hOWlZiQCL4VhL1dZH3/FNlrMYjhlNd9Y+mc8EfeXER0aXKKxztp8JCXkvTzofeNjqSY/lhTgjN8CzQmvEYlq5SjjRd2uwjsbn6h1eQwSNBBqfEzKPi4GsmavmOi+WxqImoRbq7WvmJ1bSMLiMKh8SrJbpJAouVuTVXKMaaEUncVr6c/39pp5rYyJFuUusHW1TKBsD0SWdfWwIVvXijS8Q67CxIVqHuBSRiCF5bC3BqTfVhoo6L/C1x7dSBpfkWvGYCilpTALYoIZi49TIMsmoitYnaUlr8wkhywnG4iV5mGMACZpQbC3lYIJrqnQd1fA1MRIyQ4gVrhNtEKMJl2JUjiJWm6q52CT9tiYSG1FjHWsRk9OI4KiIPkslNZMDwSq5EAScV2JhVNJirMNKIOLUULfrXh7tPKmnPjqfvOgreQvOJzlSK206TA6k89lDPCWmdb2rgR28lnht596EZkkUlOClnAA80ecshinJxzm9DtZhBVxdkddz6kJ14iS5XwRCNlCCkUqnSjoPF2o1yCUZ0ahUR0mU60SfSJGw9kxToj/amG8pS7JdiyHNkVXZoErIGsrRkDoW+gx0pG6mqTBZlvIrVHplm5KsqcBCkxepsV26jiKIN3p9k7zsiCzMOJBIRImBOI1AFNUUglteRa2glRwPa24TJzWDxQ7RqrEdraPJCsrxpCMbrPFNRVUMVXIWNHIgxmqltMwto6eQSH6uJF8sxEQS6zxHTBqvbSWYKhkMLtPrm+3h40GJlxz7y5pbkGZp/B2OkpwUgvU0RYYJen7rnBhNkdFU+vw/D5gzIjE5NZD1DrYuCZVYPo+RPRp60nA+EJ2uAS8CTrPEKtiMOhsSXa7yCAQbKrJ6josn03VZvdJaplJM69lPHspWIuM80VmMCRhq8mpvOa6YQusulGT1HENNPIF7I9iMcrBBNE4XshjBWOqsIHhPvtjDEpOhr4a6PS7R2QjiYtJ/B1pXuCb0R6I1xMFIDWCSlzcGSIY3JK+cVaNYkma8tk7LXIoAFygWuxgijcsJziLoInx4ORSjJEY9+ak+v1152SUZrYiw7CbQSSCOEVxIzcmMxWDUIHP6PdeUGBpsNKpDx2J9pqctetzgc0yMTMcbiM9pbKGylabCGpvyWprkSXZ0NfLBZVqmlA0lVbZ9Ieg2RgLWGIJVfb1t5o+WwGkATTFOUh+jv4uWYdVtujeZpFrth43lhz2YjjtahyFnuQotXw5m6X1WGZFbGcYpxwC8XgPjqYshtmz02UlPbmNz8JpjokxQiSeIEgrrabIC25Q6h9aiyd41uByIWoLTFykyUeswfVqKUjSiTQY/gGXicEu0IjbWVIMJLlS4psZGvX/KfAPBYGOthoe1+GaBbyoA6myQrnk6luixpSUq9/OSG0vLG5XMZoSoUZdoHdFm2oekmWte1H2vmhL+cjBeEYNWVpkXlMMxxEhWL5JnvX1/1gSfsxiOGMx3dTYSyReE6Aba9dw4fZ6iXsP2eq/ejZHgtKytrZ9N47PHjdxHp+TUmniMYk/v2+gN9jn1cDuxZfgUr+dPE8GlqFrHAUB2FkIN5wfnmjSQHFsvAp7oHfMUX1DBZlT5xnJBNKhR0GQF0Xnyau9kiINR2YBYlX4EmyepgwWiJgNKABuXIVBLTd7USHDLMp5GgtoQJ3BfCFDnrZewSuMENXYqgh8wH11K2nk1YiVJppyEA/uJzuObEghrxxZSAmxwOTZUGBMANYRVX+6S8b6cMMR6pD2O9Zp3UEwoiwkmBow1ROMgQz20oVx6+duEUhe0ckrjCghVq/FKJKf1lnfcMEvnuWrTXSpPKggxeedBy4sa21a3icsx1vmImOZSjD3wH0sNfCIEyzKpiQx0dPVLL79Emny0MhyJalVbo2UyYwMItpnjpKK2QzVs10YZ1t0EAYxHEhHSgx8XoYjLuVlm4D8MSelsIy3hCA0+NlROOz0HUOIjYfmMLMezlN90IxuSjO8hYFTLL6KEIc2bbiZpLgSxQoiWaCFDE66lJevSkl3BOk9cRhJa73xr0N7nwVvOeXuPOepshDVgqwZL1GfAF0Rj9PSigRRlCi5LOTF6bkqOcpbSJ2tX80/33/aYnTlKeRm+3Ce6TN9nxinZCBFvhGowhIrj32/Jy1oWQ5VVhoN5QyINwQ2x1EfWKYNWVQpeE7ddDIiJ+u7LhxhjksOgfXZI0iklCRjNGUliL4L1a98r3QhxG9V8El+67s/fd3/HOsDSH6J1ax0rcfl8H+oQ/6LhBSUUwWUsBhtHyXNWPO+hPRh9pOF8IHowZ2kGzshN1UKAyg+1SkmsOgtfxEhFcDlVPiRv6kdeiI4uLAFLReOHunhjkzGucp/gczXUXft5Z19ognE7iJOa5mhcSrpsjthCYlzSx1uyZqYe1xipsxFNPoZG+xSASnwMASdzdQQfOo4AjR+Cibofl9ygrWTFpihDKlWKhNUC2xpMBvW0GsC2Uo4F1gSCzVWO4hzSzLCiHmUjAZ+aiwXjCVmuRrYEcMVycK1nUT3uyTi2BqJJlXCk441PXmxjCNYRk75cJ7RRsmJdkhHRMVpbzzdLQx3rUyO2DmFYvt278qAumXCrm8sI0axKfoZsmI7bTtj9kAjT0tC9HwvtXNGlUukhpUldWIeJtRI+YqJhXVIAIZo0lHUGejsPbnn86Ae0kTo1QNPfzGEDm+U8ifHU+ZAlRTUWyTSyIEsvcyunao93nBzrsFRLVF7X7td5gkSCd4hAsLlG62KjJVwzj2v0PaDGcoENtUbj2oTsLiGQNZKkA09c514x6vwQSO8cg5W4jAI+jGMkGi1SYCRJiuhESI1GpTQ35mgEUojE1NPBxIAQUuEDjwkl1hi9l9uEe6PRtiDg2utptABEPRjgTImL9fL2P+kI8cPu7/j3b/uOVwfFYUoXnMeHEmwgPg1n4Blbf58VTkLlIEA5WE+eXaye/ABPG331pPOBs9Tc7cTwDF980Tg11qXBHPL8qKkWCD4n4rXZ1iNg3WlY5gQ7QWyGialpGzZFEWqV3ORD1Xgft5MTRDAuJeIeNIZ0gUvhV0R13WKwBHyYEtyQxhdYsSqZkhIf5hjbrG02F43mczipsBiiyZKkhhRhaDBG9fitfnoli7HL6ID+6lBjQpNqrdQ4qQhkBJshfoiPJS7qmKzRxT4LezRODQIrgdAx8sS03tlUQjMGsGqsqGFu1OO7xsvb5hioXGixSoBdeqbb84jL672KcFiwGUdr9iXigoVjjdR2UzUqxeWINMvmYg806g/kKqy8991zOzqedqVM33lUGYexOs7YqAffF4dkNjEZyQ845+4YW2IRo16zYxPAzXKu2twKugShdavHRM5tpucZArjj5qV7/mb1e3ufLC0LQ5VP0v2tOQfLxF9jCV7vEzEaOXPWLY38A6dvutfpsEl62ArV6yVeybFIwMQmRTM9wVpcWGg53HyIqdc7RqK1yxK/0bpDEVJ9fmOKfB19X1mwsoyeqtxM1Cngi2UBoZbgtNfAJLmZGJUyuVDRWMt8sEHWzHUeEZpsAzEuFW1YRYiD9+S1Vlp7WASbUWX3iTjXDxdx9nFOdOqg0N4Tup82Kd/H+fNt4nYOicUDT/kh5qS1FVry3P3KmUiEPkc416QhWk48p+E05xY8M7RKlCRRkWPeGkLUxdzalUzmCQ9saYiS9pu8yYYaR0oWdDlOHEmw8dRgBIyJ7Q90X4NqvHiVQyXi0FoUjogJc8R6fNjHUS8lU8fZqNLq5aNgEUwssaZCglcjhFQO09hEIPLVaNINa1Kyqu6wPQFNjLUIRmrNKSCQxT2cVMoB0qAsDZnsEaPDmoIyQLRFMlZWycg21upNRSUKQYzKJow95Pk+ZDAaEKuG+9I7HGVFctrt1k3Sgf0+yOA//Hf1qGuZz7Ys6uFV7EH7u9/vLQ6P8T6b3hdqREeXIiKxUePd5Rwd97pjd9Hx7rus89l9jt2SHmk6xqpJZMF2oh7tDe849rrdl8gcfKYwTpPLU+RCUkRiWX0plXjFaAM76RJOkyIpy4fsYSa+nbO4GobVikRGqjSeHBtLdYyIW+sYSaI8GpcT07NqU4RU59JpNGFZ4rX9nsp8XCjBaLJ+bHN4jJ7firMlQpoiD0oWdC4MkhLIBwRjqLPNFImVZITPOtOhEeJoc2o/xLCeCAlKYERdGCCB+kERZzTibO93e6GS0qzZo/FDgsshlcp2scQ3cyzHNfQ7ozgn9kSXPB+5qc7A9TTy5LbfWbEdzzVpEK//neg+H/rDFx+RuPIyr/GaSvJytwvnk0KS583JguTOBDWXdQjJGyfeaigfEFxnu5Or6KT7DhhTEXyRIh2rccpSU94QXTxkEKTEU6cyh04c4JhjKTmJLhGQ9KmSpUAwBQabFlMLUuqNn2QoBsGahmiSYbiMDKy8PNLZr5Y3zTg8ZxFPY4dE8hRZaiUtqCGUIh3GZGkMIK5gtSp0Pb2HPfSyHO/K2Gu/d0hisjQojzPmH3SVzaF/0zGWvx72jB8nqzm8j4e9uw5f7U4U4mG+1yY0t2TKANLq2y0qSXmYsRwXgXhAlIV40LBfEgg63wusPnyUeelGcNrPWqnZofFZjyydA7Ick7RRjgPRi8Mm+aFrf9x4JKz2uyQjGjnVhPRE4rzjcMRL8NR2mCqYFaoiEiULq7OI6grxA0yYLz300TgMEWfmxMwjWH0aU4K7QCeqJKykZXpkk2SCJgaiy5fnK21Oks0RG7FNjeNQ4zqCluU1RyPE0eg7INh2n5Kqt+WalP6AiDMP4TwyNHjZw8UVMTESMI61kdgzg3NqJ4Ded1oBr32Xd51sz21YD48HLdIPu48zgFNBGv7G3/gb/OW//Je5efMm3/7t387P/dzP8ZGPfOTY7f/xP/7H/Lk/9+d4/fXX+cAHPsDP/MzP8Ht+z+955OM+bMnVp4IzcoM8GQKGikhx0Csl7TPmsJSICxwWkDwOIqsKIWo8r5J29d+2skgk4gmogbtc3KhwzLGcXLk+y5xIRjQZqnVOuQZYDAFHtSbXNUlizMOSKSUnkQKOeP8ihoaMOUZKxBSaf4BFH3+VCrQVp1bHV2/jamcm6a0zxG5Bil84Ks21ABqzieAw1FjmCEME7WgckzGVukTg44xoBmkcLcFIkqUDxvjq+PrPiuStJEadvx/A/Yz6R0W7KqyT97QL3eMQhAcd81EM6y5RS7Iu00bbUn7DI7ntjtv2QWM5+D29v9vjd8ncw55Xd/v7jePwvdNGPuzqZwRMig6Ydq6682LWfHbcmFr3YnucrqkfscYS8erNtwfN2Yintul5kRpB5XmCJxgtvaxRyICPC8RmqTSswyAYKbGxpvZDxGiEImA1undknN25EgwNBkuUgLjV+2+5ndHnS4zR/ce9AzMhRJVN2fY90Tkntzqndi4aVxBtjqNpa4ktYWidHi71ZHn4CPAyF+3QmZ45nNmBnyR0LQy2wEpNN672SBXrejx1PHfS8I/+0T/iE5/4BJ/+9Kf56Ec/ys/+7M/yAz/wA3zpS1/i2rVrR7b/t//23/IH/+Af5FOf+hS/9/f+Xn7+53+eH/qhH+I//If/wLd+67c+0rHvV3L1rISKngpO8NytqNEsZNAazcYmD3/EMk+L5QlAlKTIGuO5JSmGMvnHNyEZuKuFvkDI8Ow+NHF4ULTC0uDZ7RCU1rtfpu8f9j6uyFQbZXi4487RmjVdcmLTOUccUywNwgKHI5BTcxEh78R5LMvWwZh0fP1bwAMeSb5bszREHcFky58NmrSmRV/nBAqEwXKcWifJEN0Eg4e2dOzSmOwk2y7RGnJd0+VBxu/hq3/4s2Mm9YEbPOS+Dnznfl7sdZ8f9+/DHKdLatr7o71q66RADxE1eGiicXhb6fx/O5bQ2abr/T4OsubnwySivW/g4JwJq3up+589QBgM03SPdqszHT5Ol/C0aCM6q1jb8hqYQp0YVqsfNWYEMk/PIDRmuHxejFG5pECSDtlEsBc4qcFqZ3MnWp65NeiDX5F0JTAjDl7L7rtl9VyLLfR+MD6dc0xn05YC7pyrcWm75sC+jBGwq/0vz8k4jHQdIRrxFFR+ZWVBF3qUFHG2JxNxfmyc5zW/xXOcA81JzAhkSSLX5qtkD/pqj2cII/Ko2XYni49+9KP8tt/22/jrf/2vAxBj5NVXX+W/+W/+G37iJ37iyPY/+qM/ynQ65Z/+03+6/Oy7vuu7+NCHPsSnP/3phzrm7u4uW1tbvP///v/EFYOTOZGHxTl8MUXxxDgEWVXNMFRYO8eak23CE8UT4iaSPPmHjWdrdhEZEhmkBXv1XREQMiwlzu49sNple15CnryoBmhwzDBGO/C2ml7FKpwexRDZRGTNOE3Emd1j5yaKJ8rquO186uKcHfncmqPzHMVTx0tEhhz0NLaGZQQqVoZdW/e/xCyNw9YgVc+lZY7tsG3BEmSA4FkZjK2RZYDU/GpJpo4z0J5E1NoaNk8qjO16yNuIw/22PeS9PVV4lMjLo5CGw99bkU/9OTv0eVc+8yhE5jC6pKFLetcRx+62up0+N13/WXv/twb16l5fEQNYEZJ1Y2+3LXFUtPOQMUUFNhto9FVJdGCUnqs2ImpwLJZ/FyBne0kuGjYIDFLUwKTPhujzdZh0d8+/nfM26XiVq6LPomCwyPK8DZ59zRXApLF5LHMy9jp0yVFzQWVCh46tMd8hQoZj70C0QZ8qfef6zv7OLM7h+t7iJBytEU8w6mBr1zApd/jK//Qn2dnZYXNz88kPcoJobcl3/8z/Azt4MlsyLhb8xp/9yVN5nl0810hDVVV87nOf45Of/OTyM2st3//9389nP/vZtd/57Gc/yyc+8YkDn/3AD/wAv/ALv3DsccqypCxXXQV3d3cBdao+VXnSOXyBrHtxWBowe0CejPcAtIm0J3x8GqzsEsOwY4yqZ9+6OQYhhByo10c4JGgCo3Ngjg+Vx+gJsqVJvARitOgCPCSwAdJgTaON5MyKILXhdAsgu0o6pDNOU2LtHGOatXOzIkUrD6OkKIkxWSIbsyU5UenSIX+tQBOGqhWVfThgtEvnZ23GlY4MlKlXW0sCWsNMjRzMfJWEKBAlQw6Qga4XXPcvS6OyJROPKl05DuuMppOUDHWP0Y2ErDvOSR37pLAuctPFYW/6o+C4c20N2cNG/WGvPhwkAKbz+3H3xGEp0Toi0u7ncEQnolHQbkSizbfoHv8w+TwuCnQwzqilDVKFJRyBQYo25BhMqj4WQRpiIlVtZKZhkPamkr5gjAYDxRHigIhD3znd56t77ULnTu2Stu6zy/LcWvmYLD/TfQZWUVidpyQ7NX7pjBCxaLlaOTIlBrBSEvCa70S9HMcy4mxOMOJ80jiVg3o2eBQicBLTZGgSsVxF0aOdnsCee5wUnitpuH37NiEErl+/fuDz69ev88UvfnHtd27evLl2+5s3bx57nE996lP81E/91JHPxQninuBWPxMZOieLB71E1v1ZouYPIB39rKnAaBnREx8jDdbtJUaY9O8mGc8x01I4axa3NFiQ1Cm2bSt66KRi8DThEiKFWuCkWvYmpG01XyCKYG2DUCCSgd09cL5KcPbQGoGtZOKokb8cmkAISdZgD0oAkBqRjGCGOLeXmrutHT4xFESZKLFoKyktO/EKpGRMSD0OxK/GJa2R0vW6KjEQk2FM23jNEJv29dIaM11iAit5x2EP7jo8KGJw2Jg/Lnm4/duaakX3xTr50GHj9vC+1h2764l+EmL0pERk7c3PwTF1x/soYzpsnHf30/37cfkoh/NG2nvnMA7ntBw+zmEcTrK0h77Xfvfwsdp9tWTisFzifnPkEZrOsTKECpAk23RYqqUH/+C5pxwtIsZAwybCFCEnMNDPl4Sm+yytxrwqYHBYetUlY93n03V+tmifm7ZYQQBKjToYT8PmKiIqEaIk58H6RcJKiTEVmueUcjO4v5PkQVCdRKdSU3pP3f9Lj3iQ87fML/H8+FIrW33Kjt2TQt+n4cXCJz/5yQPRid3dXV599VXEQ3yiGXi2j9RpyLN41CFIzIhhQ41Pt6qrTSxoxGPdHsbepz73fQ4owlpisMJBQiKAxECMqXqIOZp+LWIREYwPmDX1/yRmhGZLowOmYbUYm0SKoh7XWLQ2vAe7AMlpzBDrd1eVTZfjT972ltgcc84SHTHmGFejVacOb9CoJ89ZjF0fJdHxb6jXULQyyyqqAJgFWNEHw5BeZDrHIhYd/KoRXioZA6AhZVtqSXlJZS5j17PcrXZE5+fWuys6p6L5EweNu3X69yN06D5/t4e2kUOfH/7O/V7gh43/7n1wsErNUcO51fSbQ/t4FOLSNbqPO48H4bjjdnMODnv/HyaP5KCn+6CR3vVyh853Dn/3YeZj3baHCc9xYzy87/aadefz8Px0fz48R+vmq3uMNoqm5EHIVL6I16iBGWmOgBwmPBnGLLBuoe1N4hCJRXpmPaRO0frOELR7eVs1K83z0gPRJVc1ByMTLUloCXX3WgcwMTkpVgRGJGgk0aqTAgISKiQWGFMfaHmhsk+HcQuM3cOYg04SzNEn92Eg0RPiUWeUs0/HGfUoOA1r9XPBUzjvs0EaePJzPyP3zHMlDVeuXME5x61btw58fuvWLW7cuLH2Ozdu3Hik7QGKoqAojrYilzbv8xniSbjkGbmnltB1bAg4cF3PeERMBTEnhCHW1Q/2Dh3ed8iIYQihs2C4CuvnalQf9z0bIFZIKBBzNKcB8eBLxIcjF6s9HzFODWsjahSbmFY9t1rzBTABwWOsVW+j5Om7QcffDCHmLMP69uj4l8RCrH4Xg9g1tawBkQjRa5TErakJ344fl47pdOwi6UEwEAuWyZA2JVg2rQfSgjQHbXdBDRNTKlGSAWIrNWKWxkprWB026LoGUppHm4yrmMawrIncGstd8gEHJ6Ldb9Cxm+T9ia2Rddgr3TW+Dxuv6wzG7r/J62zSxC4Nz8Me3a5sic5n3dyRk3grPE7k4TBB6hKEruHYTY59hGMsqxS15Ua7OQKHSUI89Fl7XFhPVg6TJ3PoO+uM/ePQzQHozkUrm5N0f6djxVSZqvv3tWSze7+044wYa8GVEKwavNLmEHTPu5XveCIWyNGO2i0JqFHSYfU9ZgVjAhJsOp+GVbJ3t/xuTM816hiQltB05t+Qvr8AGabvrN6H0p6mBCS904wNWDMnNhkiGdIpegEOY6O+2yx0vcjL/T0iJHqiqExz+Z7CgBQEybBm97GJw0l1OD5zOKWDfqH6brwAeK6kIc9zPvzhD/OZz3yGH/qhHwI0Efozn/kMH//4x9d+57u/+7v5zGc+w5/+0396+dk/+2f/jO/+7u9+5OM/j5KrD/tcvgieCgkOYo64Zm3+gpgG0xrSLjz05EjIkHoDiYeiF6Egildv1n2Ig8nnSOmRNLZV9MNjbMDk67uKSnS6yNsGYuuZTAuutRBk5UEzKLFI3nkxARM90ajRIdVE/2brVIVEoy+xWY1fQoY0iRhJSi+MmW6/JklasBgriItr7SyJDokpomBlRVba82glSuLAVvo3MXq82J6rIxWUZxmFMAGyBUiGuApEu+/q97oe1MOe1OUVYRlNcJVKFcJAvxeg1VHrMQ8nrLboSGLaTjs+5TGJgeAgDFgZUN2Iw2GP+nFe7DQGk/4WW69Da0R2CcDhu6c1zNqoiRz626NgnTd7ndH6IHQ95K1R2aRdJf27WyRie4QprtlfO6/pnmrvL4GV8d2wiq5174f0XRPTNT7OEO9i3Tx0CaHjwfPR/XsbQeiSy0b3Zw9HMTSyuTqX7rHX3QOre1MMKdLZPnvtf+3chcQzgxKKMEz3XQNkaXhhdf9Fj9h6VdFIjD6/pEifMem7OgaT7mExtZLzmCrb2QZcnSKsDQZHrKN+3xmORGYl6DvFGX2fuBrjdpFmmN4zKU/LlRg/B1s/8BX/4Ogxqan8ULdx5QGZpkiFxJwgQ6zdfWRnFDzEMvQCrM2PiudpjzyRhPxZoY80PDt84hOf4I/9sT/Gd37nd/KRj3yEn/3Zn2U6nfLH//gfB+CP/tE/yiuvvMKnPvUpAP7Un/pT/M7f+Tv5H//H/5H//D//z/mH//Af8r//7/87f+tv/a1HPrZkgmRyKi/WUx/SMzhnaT2xLqyX65mABF10jH+4AYkA9VA9WHnZWfODHifkSBxCcbT/wfLF5yvwu1COIHSSIPMSihm49YubNMlwd7UaNkuPY8dD13rXW6PeRn3ptUZ/M4Z6pEasDbrAuwpjAyKd8XuBZqLkxCWvYUxezmaIFNMDEiQRIDgkqyBv1tot0pjk+bPgaz33mHVchx3jxVg1FiEZf+1B0u/t9jZAPk3GSgOD3WQbGSVZ+5ehOa6qxCHjM5tBvkhD9tD4lfFkpGNMHEY3cTWm6+MgDPV38YmcLaAes17LDkujzbaymva8U7lSv9BtwlCvi5Vk2HVIhomJSHQr63SjPmblyZWsc9yHcacdNo675ONwHsDDoD33ljCk/XTnPJuDqaAapKjeunF2yZIF05YATceQ9vkIHYPXcLC8b/e/dkyHydy6Yx/OUzgciXoYHCafLZKhviSg6Tgy1HuqjdIt93E4UrLmGClKKLHNE2jPtT1uilYdMEKs3rtd7aIRvafDyvMl7b1vSsxgGxAk5FBPEokwEAapkEFLgEWfdVtjcu0uvTz71jmANo47YrwnJ0X0sdN0vYasxkhHgpQ6Vj+QMIRMCVLoRF/XRI8lOqTOwTdr87/EpqiuS+/Ys4JTaIe0eKpDe8DOT7oB79NA3xH6GeJHf/RHeeedd/jzf/7Pc/PmTT70oQ/xS7/0S8tk56997WtYu1oEvud7voef//mf5yd/8if57/67/44PfOAD/MIv/MIj92gAUgfCU3qlzkhSzP0hScZj6db0XiJa/buXh1/nQzLWXXP0O60xFjPAq+fs4GhWcDVkOylEnxYoq8Z2FI58rouTgEvnk1dQWTUepfXCJe+mkSQPsmmcQY0ucSuPvWtY5g40FskX+h3TqDFfTXT7rFrZNC6CncNiDNUIKVpjXb2NuACD2dooiZ5/a8hZNOF7nZQiTWQ0ejwRVF7SynGcHtOKGiLZQs+vyZWMdQiLoUZkF3Zar+ORq8BBWUQy+EwyfmKmF8OFJOU4LHFa49l1qvOmsekcAFep0RczaBJRO1BBpi1526n0ZFADygQ17t0C/Fyviwl6Xdptm5QcLskjbatEyNaU5DSiJCv41ffWRjaOQ4fo2DRHB/bxKO+N9ntJ4pFyZbSBTSI11mBchbgAiwjN8ND3k3Fv2ihBkujl+zq20F73FHkIaQ6W3ZE719SG1XGj7fy9Q2wO/H7Yw9967h8Gh+f68Lyl40kiN6FYbWcDSN0hDl0J3v3Wk7RtmwdkkxdfSFG5Ts8HCelvKUTb3rNLaVGm7yufonl+ke5VlVeSJ6dJiOqEMKhjwi7SvdktfRz1fj4kaVQSEnR7c/AdLe070pXpvXV4Jg9KkB6EA9Fj26zmdU30WNJ74H4yTRM8YuzJkoanbSqcxiX/WZhHDzjvXp50uvDcSQPAxz/+8WPlSL/8y7985LMf+ZEf4Ud+5Eee+LjiBXmAh9s8N+P9ecYDT2g/tk7GdaGG22EbNXr17mf1w3MkQRdTv37BwMalh/pB11ZRr/YLSJPBYqRGcEsafIUMZpDVurjWhRrIxUIX0ipnqQ02IRGIJNvxdfLQOjXCXaXn3S54ptHfQw5urtuEZDRl9VEbyAYwMyUh+JUt5RslDHl1/Fy6Wrcrx2pQL53DSXt+RKuXDCGbjPjg9HhZpedlU1WYmKvhMJyCcaq7bklYXilBCl0jpePhNonA2KDbkqo1GSCf636Cg9g2rkrzuzT824hA0mr7Jhl4Nl27RomNC1C3xyd5VLtGZ3sPpPHZOtlTmY5tY0c/rzfTnKVjhhT9aA3e2NbJ7+xe4KA0yYLxOq7oU7Sr+4Xu/Hd3km5SW+v8x7zj6e6O/1HQnQOj8+qC3qfBgmSIScR3tA8LoD4kV7ItYe7e/xaaIhGnzrwvIw/dpmiwktK00jh7kNQuqwesIRtLT/2jLGddotUSkK40qd0kSaViupdacgTJLs4778v2erWRmzZqFVfvgG6VldAhejGRLelIpKQ9iFMi5ctEVoE6yQiRROLTO8el94DXQgliG2gqaHLEBD0HlyRigr7n0ljlcEU5ITl9NNFfupE08eAbfS/6NUUZHgEiQJXkRtmh6HEbfQ3DFREiKmFon/sjO7T6dxfVyfMi4AU5jYdG59nvE6FPF04FaXhucPLAl8pDvQ5fiKjAU8J4ujKKfd3xIGXgg/49e5SnJa48dMdGLyJkUSMYj4I6g/mmLuBZZ6xNAXMPkx0d775PhnINbh9cocQIq8ZWa3i4JMfwlUqjfapa0iSvertIt9ro1jCyyfg45MFbIkv7Gcx00W8yXcTLiY6rJTjrzi/pqlfJkug5tuOIrZ48GSQuJA9kR+aTtUnPmY61WKRzHOp42mtggpIFB4TutWoN92RgOdG5mezoPCySbExMimjUIJUaYDbq9YkpkkAat0kRq7yCus27MFDM9T4TOl55k66TWe3LCK1n1IjT5G8X9Fw37sFwrvOXVUla41hWmLJxFVFqWmMuRUxaj7mBVjNO1qgRWiz02u1vrEjncdEGE2Aw1fm1Ucl2laRE7TkckPs8CF35j0mRNavXMUv3cDbTaxBVCqLXo3P96Eb7UlJ9XoGpNRq2jBa0hrTp/Hd4LGk7satnq2kbCqbnqBvNE1bXAXh0SVL32IctZfRaxpS43UZLs2pltDc5ZFMIJSwmnblPZNi2ERj0vmuvf2zJCatoXdMSipCij7Katu7cZRVkyXPuFuqsaPL0XBi9Vwcz8IfklXYKU80vwzTJSZCinHmlksxyBG1FuC4xyNLfmzwRJK/PSn7MsbrTuCaKuxbBJ1K0JnoMrKJeTnPQXJ2IUIHYNc4o8ZCVSKEN6c4TzorE5cFYnYiEM3BSPWk4JzjkWHp8vABRgaeFogK7DfMxVMm4NREGC/VMrzNu74es1n2WRfJIdv4m6AKUl4mgPMJ+BTVWxR3KlYhgS/WuliPY2IbNdD51Oh8fYLCTjttKXeCA4bh7UT1fsPK8L0PnsvISR6cLeXAckHV1r3Mr06lGuih3CU41UEN0Y+fg3LbnZwwM9mG2yRG9gYWlhltsWsQbHX+bl2CSl7iNtGS1GkL7Wzp233rBrc5RtJAvkqysPV7y8guraEBeqZd5PjlK2qpiRWbaHAyXDKnWWBajRpdpT9aksaTPglXDp03MXRqbpmMgapUvaatJxTQfMYNYa3TLJ3LQFVNXeZJwGCVAIXnalyVq2zCWUcOraj2qRo3ArFZSGbsvpGR8tkTC15C3uTRp39Gu5vRAsvqDcIhYtNVx2vmohkq2Nnb1o8UIyoH+h9H7vE4Jua2x7MtEHmuYp+coSwbxMhrSJQ6dsbSC4NYL35a1y0uWZJXkObZBPfQmQj0AaaM7j2octs+o6H5jIplYViRFVoQ0eI0w5mX6W63PmRMYzFfXQhIBM0alO8ZBjBo1C16jYEFWfMCQCPeAZXShNbJtilS4OkVtfLrHI0sJpJ/BcF/vIXeMYZ7XYHZXEdR4yPDPapUV3u/vca7nH1OeQFYev3bW66O1Lck4gtAS+WOixyZFjzGrY45mMG2dUV05U5JpjmYp4PecF8hnfPjnbg48hQHIi8OEXgicb9Lgo/53GvEiRS98BYNKX/xtcpxfs8A97LthvJ804Sl60RpMTYpeTPYfMXqBji1karyuzXNJicPGwTCdT2sIt57m4y5Z49OCmKIjRQkLp8SgWzUqZLpAb+yqwV0OlLAcUnespD7JW90N57ugi3s1hEGH/DQpFyRvPaUL2lKuKzl4MkRsTN4/VpEDQ1rwJXnKMzV+i+3kpbSHxpIMwdZLO5jr+SyNQtQAKBZJWrVQw0iczk+XtFGqYd7mj7REoCUOwSwPqZ7aNK9FtUqlaBvouQZciiy0zedMR5Nu3MpYjBZiAQujpHGQ5FJNvpKmgZLXmUtGZFgZ0q3G3yZjtyUvIcnTKvS8fdKN+6aT2CoHoxit1MKmcdeJHMIq+rJMlH3Qu6NzM7WkrTXY23yVvNH5M+g9s3NJzytLFanmY/2+RefJN1AkstieXysRiazutYPsdzUcKyy1/pKeqWKhJH26qfts779Feo/YNO62ktCxDeDa8z103m1kxCYZ4WK0On8xOr/Ld0G656XNlYp6H7hGDVRYkTYRvV9cup5ZKv87T+dgvFaWa2WMvlJS2vY0sekZ803KaRKoRX8OfnV/DBYwPCaqeBiu0usZOt7/7jvrfn+vMyWCdZsIH/VZXXfsOlOHROtA6EZrZ/6oM6O9Ro8aPfYVuJ3VuB5nTp4U59WWfdZE6FEVA88BfSL0OYF1EfsUSYM8keF/Ru6gdThu6L46mf37EvxdmE5SiD5VshnNlVDkj7FgBOB+kiAToEq64/aeyQ6dz3HX29ZqCJcD9T7mjUoGqgJqnwyiBkZTmEx1/F4OyrpaYhSylUcur9bL60xH8uBTMnhMzMMnj/KgVqO1lekgKxJTFSwrCLVebZskUXnyeFPrdrMNpPFHxxJJRkAqT1uk6i/ttRJZGRZFrdduf1O9m+7QM5lHNaKaVO4Wm75vOnKP5A0OPhn3rKJN0v0vzUlrKJvW4O4YtK7jdY9GzzM4mG6wTDyvczUWs3RtskbPXyLIIHmo00QcIJTpOrqkVW/yVd5P623tVmNysrqGYhLRaSNTabvQLWHafn6/d09rrEvHuG/0vIazFQlp7586GarDBcv8l6ZJuUNNZ/tEPKLrrIDJky/xYGTkwDjbHID0WUwErqhgMoeiSZHKfEWYXdD9VsXKYFyef5dh0/ksbeO0wo9G02qN9rgaFkleaNNcB7/aTzvM1qBu5VxdJ0M36dal6KRNz1zbRbQtlyydubBpjkjRmeE8RbTSXNeFPh8b27qfh3FUHIfD76z7/V2MkoCWtGW1RljEpqiDh80OCRCSA2EN8XeJ+JcjdTR0x2070eN1uW/B6/7yQ9HjLtF5kjnp4gwvu4+N037OZyEvpe8IfT5gLJ1ScU9h/8/4aTyuk/ALiWGFDO4mD/oqevE4dbkBbebWeq7XebuCTQbc+k7RaS/H739zH+4liUNWqZFpI9gC7AK2tmE0X41/WCLuHuyPV+RCSFKCEmbjRADWnLCLKxLUjrWNIIjVvxdlIiFuZSS3molowDo1pERYSUBaeU46TlZDlWMwSggPLOhtlEG/hk9SirJIi3wa22gBW7ssy7gel+BelLAYpmuTvMCtzWkbNf4kJZtvbev81KlRXZ11IhWs5s2kHXTLc5i45CA69pS7YJMsJKv1nmu8HmOQIiWTqSYK1x7e9isD2caDiqM20laUK6OzSQZZnfTp3aReX7GUipVDndfxbtKYJ8N1udiYzsDXEQdZyVra6JEhjTMZrC3hrpLExor+e5hQDxbq5W3npiULbd5MK3NqH4lWamOiPkvL8XTG3c6PRbedTJU8+wopqtWzvr21InBZlbT6ycO/jGYkidjyJGUVsbFNihgk6ZEYJfTR6TXI6zTellB27hfXkSvZJC07zslQp/Nu3ynLXKUIJkm8gkuRsQikYgAtEY1JUtfmfnk43OX+qUJkJdkcrIloVoX+vSUBtdfn8jhnRp4kXdJxZrSY7Ou91KR8lsPR4/H+8cbjfXrynCmcp/W7iwcZy0/RRuvx6DjXpMG6gF3TOffM44ww1hPBmujF40R4xNbIoETmGg040im6yTDDBaZ49O7VgJIAew/Zn0DZauAjTGaYyT6mWOMBHJY6pulIv9dGJWY+RQMipji6YEpQYmDyBpOiIuIqZFjCfAC+xOQNYpMRXycjOEuVVUYpIbPOtUqLjclrn6IDVjXZ0hpGSQJiOmRL2spRVb6UqRgXkbzRZOFyoB7VK7exFqT2Wtbz0H6W+/NBjQ7XGtfJCHMpamBFcwksanhs7sHOFkzHLGU3+UIjN02SykTTKeUKS624kMgCHclIymNwohKdKkmDBiVcvIfJUlneOiKjhc5z8Eq4QjI4W6mSD5AHaAxc2NV5WRSwu6FGZJu4XeV6rqb1REcYTDFFjTQpglMnr++yd0Z7c3bzLpKkxHaIsUle94gSBltrJMFJIsgaPTE+ItIcJdRttKwsElGwiQyYFJ1I9/cy+pAiQjGNZZlQ1iapd6Q9voEL27AxXT5rBrQymACzDZgnwuGaVQRG4oqUGaPEuSUR+UIN37yVgKUoUxuxI+pcV6nDfJGM9yqRoVaa5YNKbbJGCY0xRyNjoHPRSozqXI/fEkNT6zzHqMfJFytppGv0ejY+keoZTKaY/OD74cmi2A+JB5KAKknkEqkN6Hy08sHDMCl3yHJUFtxGj/dT9DikaNVoroQi70Qzzite2HX9ARe1PqUS8i66gc4n2ccZwLkmDc5H3H3kSc/kxfxUcHJ333mKXsiFHWJwSJ2lULh6u0ydQ9Zgt3aXRvhjYbRAhgs1qJY63fuTEClz4nSCCU4NVBuRYJGqUHmW38FmK6+dCJiQw3COPdTgTrZ2iY1XwyWrMFmd6u8PYLjAbOwRp2NskkbEKgMmK0NXVF5kosH4oIaRrxHf6Bz5xQEjLw5ThRegLVVpWs37oMRe3F6RmrwiDhYwHx7YT3tOxCSdaSUieZU8tukGrZNx4yvY3dRzWhTLbc1goZ2y9zdgkacKS52JNkkKEtp8gmR4thKjVjpjBGMEyRqdi8ZjEyFansdohpQpEtLkKwOqlfLklc6FjdiswWSaPyCDkrg3UUMcgxQlTKbY0RxMJN67gGmvqW8Q3yRvfleWs3TtcyCRmnQuRa0kps478pgGxlNs3iwJMsMFJtd7U/JEqGcDkvs8RfYCuJles7xKeRqp4lHwq7HERChiyjlwUffTlTS1xCzTnCR7aQdzyFAVARYDfT5HM71WTYqItFERnzziebnKyylKVu5Ks4qyRZXRLKu5Tqaw2+5TdDvXaF4LMRmubiWDnE6UHB7jZGC40O22L6YIYypbXCfC6UKKODkoaszF7VXkqX0/HBM9fWpR7G6py8YgSdK4TJdZ9qVJUZfgMcZgnCBZ0GfsOOKforUmC0euLXA0enyf838aOP1r3dO65k9ntycFu46UnzL0OQ3nBNaCvW9zt+d3FU//C+zp45mTtmGJuXqHuLuhnl9Rb6kZz7Cbe9h10YDHgS8farMYDXFfqwmZYceQtpG4sU/c2UT2J8jWri7S0UKdYbIGt7V3dGEeltirdwi7G2pQNxZjImxMcZt7IIYw3dCogAFT1MS6SoZgij4Ei20H0mSY0QK7sUe8ewmpCkxHWmGjU29xK+kJydgcz3Gbe0eiK3JhjxCy5X4k7cdUGTZvlNTcu0AsvUZLrKRogUqsTFYTF0MdV1Fq40ZXYUQjG24yRTb2iGGTZaUbE1lVH037Mimpt07VX5ZVr8KSHOgFSiRKzIGFzYzmNPcusqzTb5O8JUU1TFZhgscMFweJ3WiBPUQqpe16W2WIjxhJBpnpvJ3a6IDOIgfcvAaWydFtgnEW1OAvk8SpmOu1uA9BjsM5YWdDJUmmzYPQ+TCDCrO5S9zZWkrWZLDQuQwpD6hNiHW1RllGUyV25SDNS4pQXLqHv7yNKaqDLSjKHNmbINMRzEa6HyerOfaS5CypDO5ggdnYwW7sa4RiOlJCVmd63uVAyWRmlbQBZrQgGlFJYJ1rlMEGmOxiLuzqtekQfXFRSXiVr0hTtJgqzeHmrp6Hu7Mig1mzum55rfdwMcNudKKNLv37PJxWHctFfEO0MUWKbHpndMuoBoxvsL7B2KiEuUjE3x0l/qbO1JmRV/cnAq56Lg67Z0VOHoRzvfSvue5PU0Le49FxrklD5gLuDMmT4pmNfJwsnupL1c+R0Vy9ma3M5wHRgKeFWGVInWEG84PGKuBcILBLmI2wTduxVXCTGW5zFzs4huD4Of6Y84tVRkxexfZ4djwnRqvVXqw2VTIIVAU2a/AXt7GDiujfIexuEhcDlTV0xmKK6uHm089xbrUfk/ZjN1bnFLKGqiqQ6DBBJSqmSOVfywE2OCSrsVlEKpM8lUGPXxbY4YJoZVmpyAwWWmJ1MVx5whsHzidZEXoMK+p5jzZFa9r+DsDeBjYL2IEaulLn2EGJ+Bppy4+auJJYLEaYjT2yizvYrCPpEnScFh13Z57EB8xojsxGmGyhnXMxeq+WGYRUDrWNLLT5Gsu8jdbrbzBewAekBlyFHdSYOscYgZFGNoxLUaGsVoN9OsbmDbiABI9Eg6kKTF7ht25jippmB3BCNAbrUxnPRM5EQOZDGNQYDC4PMNqBZh8JDglWc9ev38YektzFRU7YvoBtPBQ1sam1x9tcu1Ob4VwN7WiQFNlym3u4yQzjIjF44nSCjR4zLDVSVxeawD8fYdwUkzT2drzQiNd0gt3a1SjPcI5dZ7j4BdHfXjkZkuTQTA45GfxCJWt1hrT5V6AE8iGijQ+Lkza0xVUaHd0bExuPial5nBUkGJVIGqNN0NuI4cVdQvRInR9wIFBnmKLGXdzFZE/Hc3zeHW1nVxlxfxh/Bmy0Xp50PuBdxJ2C0Fd8yJvlPBDuU/Picw8XDXiaaKLBRPVir5UoDEpMNGRX7qgn3salpOSBWHN+Umhd9jAbYdvIRl4TN/cJswFxPsT6Bgu48T7+wh52kPaTpFdSqWF0ZCwPO5/H7Kdt0mQ2psjlu4S9CSav1Lh1AWkcTa2yEldU2KwiGO0tYdqyoo3X6Epw+n72DdZFYpWDFyQ2SUZjVxKSVC7VDEoMQlwUGmEQwAXsQCVY8c4l3NU7Ot6ywI+narCWC+JskEpsova8FfKL2/jRYnnacVEQdjaQxWB13oMFfms1x+bCLk2dIWWBMVG9ty5gckNkxrVywZCaOTlvs5VukphISzpQWSgRtYIbzvEv3cKNFhCUDMXZENm5QOyMgVoNRr+xp/sJSpjERKTKMXWOHc9TtEWWRrFpJSxozkoArNVoibVBDeZcpUoiEBdDnDkoRxCBuD/BRIdtS5tWOWF/DET1QgaP9QFxAhakccS7lzDzkRq4tXrH3ca+RggMBJeOH7x60EcRk5LznRFkWJFd2sE+oBKba+/XhyLFJ/tOOfquPHmrw2ztUG9vYqpc74WUOG7EQVEp2ZqOsaP0vhgtsPY2YVfv5TY3w45nuM29450Zj4HzThLg8D3wgk7IKbDRHogTkCedlct3rkmDMxG3rlLOsx7H8x5AwumIZJyOJ+c0kBeTNQQfMWIxayJi0jhMFinGiyPe2ceFvbRD2WTExUA9pS7gXESyBpfvkF3exg3nx5OT4QkZRvfZj720TVV7pMmwXqvZxKD5BeQVfjTH+AYpKjWwbaXEIlqsGELQ5FiXBSQ4DAaTSk3GJKlxW/cgeqTKQCxSOyRa9bAaMMZgixK/McP4hjgbEncnS5mXTREbO9QEXGkcIppnIHWOL+rluycsCprbl5DaL+ec4IizIU2dkV29jbURZwRzcZswHRKnI5V/GXgtf5PvKr7Aq36XvIJScl6X63w2/Ga+wZVl6dklwYoOm5cMXnmL7MLecgzhzibUHtcZQ9gfE2dD9dy3cje7KgErpiIuCpwRGMxppiOVltU52LqjhbcYG6Bx2GG5nJ8WGsnSyK/trL6xypBFgcvLlUwhr4gyVgJjoybW+yRNahzGBiUmuUqumtmGymiCw2YpFySviVWOEHUuq0yrJiIYDP7CDllRPhQBj5ISp581noEI2mSBWFREGw72h8lL3DCRiLLQuc21O7QdLXAPS6ReQDzbteN0rJfrcFLzIOfBW3qGcK5JQ+YC/gzJk54WTgdZOH143q9jcQ1hPKXZH+Oy6ohGuKkLssmUoluq9Umx0ZD5QHlvizAfIHWBcYHB1h7FxZ1VZOF5YjIjd7co710gzNWbacTgigo/2cclb6Ydz6iDQ1LTNWPi0iA1oPKJsgC3SrY0ouHwYlyCmxPmBcY31DubhKrAIFgX8KM5fmN/mYQehwukKsjMnkq8xByszJa8ZbFxCIE8r3E+IAJhb4INDjeZdiIzEclq6t0N6jde0uOI0QhBMSe7fI/GB16a7/ND5t9wUWbcHF7ipplQhMAH429ww9/m/2M+whv5RR3zeI51ATGRWBbYOidLYzxuDEagmo4xtcetuc/EBkIYklvBXLnHvMloxBGbVOrWKkkxLqgHXyx+NDsQ4RWB0AzIxlPy0UEtfKgzagwu61yjvCHktZKW4JJUzYIRTSwvFkiT4S1gI8E3WhZ4Uaie3uq9UdVZiuwYTFEqoaozRKyeb+NxT0iCT4Pz4UkQ6ozgI34yTRXFNBpj3Co5Os49mQF3WEaSHfz9YSPq5wFn/b44STxoLs5EhctennQ+8DxJw2ky1E9LpKPFi/xCFYFQ5erhdgH3gKRAe/ke0yojzIeaNOvUOx4XOS6vGV3axt83mf/R4UZz8uFcPbHBYlx8cPLiM0Y2nlOMdIyh0XyLxZ2LNNMxRkS9/HmN3dylng1pZloVyhghGy2QqAYnYjFo5SQJTo3yrMa6oNEdmzN66Rbh8l1m33gZOyhxeb00mloY3xCqHO9r4mhGvT/G+NkRoidVTjaZkg/UOA5ljiwK/GBxpChDrDXSIXWGv3wXV1SEsqC+fSXlJlR8dPFVNhG+MnwJkzVYGhaLgq9yjffFt/ke9wV+YfAd+PEC1+mSG61KrUzqih3XjUGEl8w2xpaUZc5OMAdyMEAjM9YFfNaoLOzlW5T3tqh3JzSzIRIczkXcaIEbLIgp+drEsLqXywKfVwwv38MfMjxtVlP5BtshYcYFXNaobCw4YrT4yT7NbKREDBAbl/lqzmnlLkkd6Y0Lem/4hmCjEgqxGJHkJdecn2Znk2x061Td9yeNB75rfaPPghjsmi7Lev0jzjcPjNqftnVmHZ7dunw2LMRnsxbffy4O5/OdSvSk4XzAm4g3z+mGPKULUTytAzsleJJFpZ4NWNy9QD0fLY3xbDhjcGmbrKNv78KNZ9iXb66+V2UYFxls7t33eycCP3+kzZ8LER6uzt9bYVorwfKDhRr2PhCzhuziPYZX7+KHMxZ3LrHY3iI2jrpOBM5GbJJQZMMFPquVVPiGPHXBbsZzbFarJOoQYrPaNrtyd0n02nFI4wllQZZXjC/fw7clWiNca/aZuF0WIeO2m4DRxOFmPsSIgazR7YMnTkdpcTHccPd4b/ENblYXCYshLiqZyTf3MC5ye2/I+9zXeG3jOrf9xoHxWt/Q1DkuXTMrFt8pb/lyfY/vXLzOu5q7eAyzasxb+0M+N3wPb7jLWnXLBaTKKSZTikSCsvGMwWhGuJprVKUlnV4JclikZ2A2VAmTieQb+wwu7uCHR+9lW5RkoznN3hi8Rjqcb3Rf80KLLg0XuLwhzFLid5XhBiUuJTe322qvQ4MzotcrWryvcIOKbDLTHI4km4qpd4ZrklzrGeOZPUsPkDi5wYLmEUjw08bTtqvOArHp4jQ5H58WjD0DkYZzhHNNGnIfyA53pjxjOA8vjZPA856najZkcesqocrIBwusC8TgaKYjFnVG/vJN8tF6I73Y2Gc82acpi6UR5h9Sb/0oeN5z9KQoJvsU72qY3b1EPRsSqwzrIpMLu4wu3V0SrNxEZD6gJtfE78aRFY0mILvAYGMfayP1fMhwY59RSsBtJlMWexPcGuMplBnvGt7kCreovOfmyw2ze5eoZyNNFraR0eYuo0v3luO4Md/jW7ff5vIChlVJZR1fzy7yH4bv4etcRepMDV+xeNdQ7U8gWvJBiUTLsBaGrkI2S3xpcVnN4MIOLmuIjWex2GIoNRNTsm3HB+YqNloJZ5Cp/GZha67Xe4xcyVaY8tHpV9mSBbf8JtNiiGsy3rt/l6uziv+v/07esFcAId+Ysnnl9vI9unQ6HEc4J1MG46lGWNpoW3H/KJa7coe9WvNsXKEkjMGC+Vw7ThfDOcYFghGkynBZw2AyXUYa7GTKvPaEOscTcSbQhAzqDF8sGG7t4Q4lPEsWqGtPhpzoGnEWnzF35Q77tdc8p0G5jBCFRUFelEyu3CHLnnyOzuLcPCu8yNH3B6E5A/Kkvk/DOYE3AW9O/w15XzziuySe16yix3jnnlTURQQW9y4Q64xBquAC4FyDz/Yp9ycs7l1gOJ7e13jKjiEVpwGnZcH3kxmD8SwRLDVKuwSrmg0pty8g0ar8qtFu2A2OYjyl2NjDukgzG5HlFRtX7pClqMDGlTvEMl9GEFrid31/xkfCr/B+/zUGb5VUzvHWcIP/ePUGb9grB8bRVoG6Pt/jd7/zFTaqkq9lr/BWeZFJMeUD9S2uh11+sfgOfk0uQrRkQx1/qDNcVmGNIDYwl5zKeEamRApLDB5rBWsFk9VMsimLWc44zHnN3GZhNJIhGEI5pNjYJx8uuD7f4/vi17ixO2XkZ7xW3yUj8LnBa8xtRhMyKp/x63KN98ktPhL+L/7f5pI29UKP10pTHtpT+4B7uXs/ufEM9/KbSzIYyhzrIhvX3gYDsfGEKsPaQMQy2NrBdwoDuLwiK0p8UYEYmtkQxOCLBcXGvn5+CCqrCnjf4E4wGu1O6DF5lkakH8/wL7/F7O5F6tmIWCoJHmzsHSDBT4yTdoL0UfNjcVre1w8DOQXFanqscK5JQ+7CMhHwWeP5PbRn9wE8Sy+6LqpFQZgNGI6mR3W/BuxwRjMbYGpHfsKJxs9O5vBsDvOwKEZHPZ/lbMj+m9dpqozheJ/x5g71YkC5PyE2jixfQOORKIw2d5lcvnsg+uPHU/y73mD/ziXK6ZimzHkl3uX3yv/GleIe90Y5O25MEYJ65asp//JG5NbkoDQIEb5j50025w2/Fl6jCiPquuBePWLXb/Kb/Df4zvhVtqvLvOrfYZTt8WZzkdfjRVyu5XdjsNzxE97ML/CB5iavZzkSvDZFNlr69P3mG5RmxPduf5mhK6mc5evuMv/efDNvDzMuXL3Nq9U2v/OdX2dsA1/LXmLW5HxA3sZL4FsXb/Er9t3ciWN8XpMP52w3GR9ovs77tm5wuxhSTR+O8D4p8o0po8mUpixWeRSFPivtZ02Vsf/OZUKdp6Zjgdg4msWQwXjG1itvaYndoBWW9t+5wmJvA2fikchRU44YbO4xHM1O5LzO6rurRbYxZZjmfx0ZPymc5DydNanRw+Ik5uikyOuzQC9POl0436TBNmRru/a8WDi30YUTwpO+pGPqt5D59WUHbVYRyhwfDfkL9II8TZ4+Edi5exGpPePNveV1yMZzhqM5i70J+XDGhRtv43xDNlhvEA02azY2dqkXBbFxfN87X+Sl8jZvjDe00RVC7Sw3szGvzPb4v+28yS9PvulAu9mLizkv7035RnmDEAvyYkGWV1SzAXVVsFNu8oP2V/nP+D+Z1AvsduCeHfPvw7fwz5vfylv+ArHOyYdzfnXyMjf27vGe6g43uUDuKkax5F37O1wNU26NIwu2eKe6TBEC72ve4cbgHv/u2stsTxwfeuNNLjRzvnFxEzeeMtixyJ7lJhtcDlPe626y60f4QY01keANI1mw6afsuRw/nNLMClxjT5zwroVfU1o4fRbFMBrO2Lt9mXI6JiRZ2GRrm40rdygORTcyE7lbZTTTkUoGvcq66sWAolhw8erbFO5sy1fvh8d5r60j4+cF/Tr6aDip93+fCH26cK5JgyeSPa9E6KeA4x5Sd9YlWM8QYc1Cap/w3ZdlFd5r4zC3RvvbNB7vG93ujJOG7sJqT9FbsFoMqKYjBqPZ2mhPMZoRqpwiq8nXJOQe3j4bzbmwmPNauMv2cICzcOCtb2BnMODl+S5Xqhnbg+HyT8NQwTRjHgZ6LAOh1qZml+023xa+xnvCbW5nY27aiyBwKe7xfeE/cnm6z/8r/+3cLDyjyT5vF1v8c/Ob+da7b/NN7i22qnvUVmVDdwYjXr+whTdTNusKiYZtY3itepsPLyp+pbzBy7MdFt5zsV7Q2Aq5IPhQsWkitRWu1ffYiAtKq7xnGCtq66icwxqVQTVlgQ32+RWVSIjG4CdTRuOpkrrgse54AugnU/yr32D39mUW0zGh1PLCk60dNq/coRjPnv1JPAec9SjIs8Pq/u7n7NHxuHMmZ8B+6XMazgkK15C7k/cerDM8ezw+nqWHxz+FS5ePpuxP9tjb3aLIdo9IIRblgI3NHTZGT1fiAc9gsTulJDyIYMRQZOuTbn1WMSsLnAiFfbA3NWIYS8UgNmz7wVrde+0tRdkwloqpzZefl3HAvBkwyaeUxhMaTzUbEwO8V97iZfMOtThumotU1mNd5Fa8wMUw5QPxTT4av8RnNn4Tg8GC0Hi+Xr3CWxev8MEbjs3iAoOm5iNvfYP9PF9WacqK1cK76wveNd+l3jW8f+8e0YATIRjDbl7Q5MKFZsaOz8mbQGErKhlgTcO1sMevF1fZyUZ4E2lqT+YbBnn5yF75p/meLMYPN5Z8Y5fJZJdqMVjKnp5VJaCTwIm8G8/IuZ40nuhdeE7nrMWzjCKva2za4/nhXJOG3AbyhzAQWjzsS+ZpGJ4vOu67+J1SQ/RRcP3GWzRlQbk/UW+3D4TGUc5GDIsF12+8xeApSCFOk0ToeULyktzXmGjx66I9tSf3NcOHMH5bY1cyIXrDKFYsfHZku0FTI94gmazeMyLYaJmZgvc0b/Nr/hqLcoREw0W/y41qm4KGu2aDJjOYqAnzg/ECCZFJNec73Bf5T/El3tnf5KrscmH4FsNrO5QXI9tmwNVpQyHHk5nGG67t7HF9tstWOefucMh+nuNi5HI5RwAfIzdm+zTWkmULijLjFXeHPT/gP01ewduohHcxZmNrm8lo/7EN7dMg+xiMp897CI+Jww3U+uf9JNC/N58cJ+UUMI9goz1XnJFIwZPiXJMGS8Q9QmLwWUoeeloIPJ0F3p6BEOSTYHNjF/eer3Dn7evs721SLSzWRi5cvMvla7cYT9RoOelF//mbY6cD4+GU8WSPve0L+M2j0Z5yNmTjwjbDwfyB5kLbVXo2yLk9HvHK7i43J47DO71cznljc5PZICczkcuzGR+4fZtL2yUmFLwr3uN6tcd/DO/lHb/Jlky5FPcJWN6xW1irC2ZoPMYIFJFMaq4M7/KRa5/n8nTOjcUug1DSvO14ezrm165cofGW6CzD2FD6g6/4SVXxyvY2r+3sEFCH6UvTfd6aTCizjEoc16ZTTIxkIRCs5Tvl1/mqvMwX5F18YXKd2/kG0jgWsxGDouTK9befqMFgL588isc1uJ5USvki4nFI6WmSVp42POwaZU9IbyNnoXhLn9NwPlDYhuKMvmWflvH+IPiz8ACfME7KkL+wscvWZJfFYkhoPM43DAbzgx7as3k7nhiemqfUwEvX36ReFCz2NNrjXUMTvBq/gzkvXX+TgVuTaHsf/MbVLa6UU16Z7rIzGFB5R94EthYLZkXGb1zdonANl6YzPvzGm4zLmnvjATfrLe7tjfmW5g0+1LzOG/YiCzx33YQ8BMSBt6m7cbAYgSLUZDEwbkq+585XiMayPR5yzw/Jm8Bre9tcKad87pWXuDcZ8NLuHm9PxksyMyor3n3vHlf3puQhsHAODwyrivdu3+POcEQWA1losCLcmoy5tTlhWAdyO+Wrgwu8UV0j7q8nvD0UJ3EP99Hq9XisqNQLEKl+2jjNkRXzAhcjOIs416Qhs+HMVk/KOH3euXAKZAZPBSf8Ph2M9050fy+UJOEpnkqxuU3+Tb/G27dusLe/xWIxwLrA5Yu3uXb9JpPJ/kPvqyXtuxsDPv/aDd7/zl0uT+f4KtBYx9tbY7589RK74wFeAt985zaTquLtTTXiN7b2uNtc4f83/y28r77NTXOBXyo+xIdnX+U/M/8HF+weuwwQcRgrDEPJy7NdshDZqBwX5wve3hgzlZzaOurccTsbcW1/yjffvcOXr17i4mLOjel+IjOWd+3ucHU6w6duEXXmKK2lcpatRcmN/X1K75hnuiy8fWHCnY0JiHBtf8r3jT5H/p4dQsxUMjXsEF4RNhclWYjUzrI7KDjJxIAzdY+foaEexqmf5xckKvW8nH5nEmegOEifCH1O4E0gM2fv4T2txvmLLjHq4jR5Zs6jbO5xn4HNjT02JnvM5yNCauA1HD56LX7bIe37k4LPj2+wsajIQqB2jr1BDsaQEdhYlFydTtkb5TircezRYI678jY7O1t8vbnMqKoJWcYXtl7ht9Zf4VvKNynqmjtxk2vc5l3b9/BRWHhHHgKNM1ydzRg3DV+/tMmsyMHA/jDn6nTKV25c4ldfu8ZvfvMdrk6nFHXDhdmcyjlq62hcwBi16xtv2S8ythYltbNsjwYYYD7IGNcVTiK1t1ybTXnJ3mNvXByYi4vTOe995y5XpjN8EBpnuD0e8dWrl7g3HnISOI/3eItnaWCelKTkLONZECd7Cp1+zxoPLXM6C+qGXp50PqDypKOfn4bEvPshO0fGeRenlSydVzxP4vSkz8BwsnNCI1mhHlvqZOANWIXUJ1IyjA2zLDsw7mwwY1zMmA4n5LccV4b32L9k+RfxW9i7O+Dbdr/BN9ff4ILMMQild5S5JwuRPEZsU2OJXN+3fC3fAmMI3lAsAtf397g4XbBRlTjR3C1jhGAtsyJjY1ExrBsaieRNIG8CLkZGZcUV4N5kwKt3dxhXNQaorMEYeGm6SzW+uDyHC9M53/aNW4yqmp1Bwb53ZE3glb1dLpVzfuW162yfEHE47Xhaz8NpjCqfNpzo2nCOCeqj4plUoDoridDnBOeaNDgEt4be9Yl5pweh82axvTb11OG0E+xTAS9ED4NQU3lHUQdcFII1lJnj6ugu9qpja3SX7fnLvB5eoRwMuCy7XJ3fpaos88wRncMHTVCufUYWQWJkoyyZhIoy9+RVzaQu+fav38QAdyZD9sc540XFtZ0pRVNR5o4qc0zKilHZIEYN3mi0i+6gaXhpe59oDY2zBGsZpFDMB2++w2ySsz0egAjvf+cuk6rk9sZo2dwu5JZ72YAre3Pe/85d/uP4+olKlc4iTlNk8kXEozgReufTCeJxK6Y9whdjL086VTjXpCEzgewFXMzCC7RAveiv97NudJ8Xgv0kz9Rs6NmeDHjl9g42wqiqsRGihVmeES28cWWLl97zOluL2zS147e99TW+SW5RzGuswKCJSNReCgDDqmZ/kCUSEfEx4hYlr76zy2ihydzTYU4mkbsbA+Yjz72Ngtdul1zf2af2nrwJ+BCJ1uARojVIirPnQZg7zyJ32CiMqppZ5hlXJe995y6/OrnKpKy5PJ0x7ciuljAwHXkuT2dcrObsD/OjE3NCOAvPkHveA3gOOK3G+XmS0XZxmojrozwP4Sxcr+coT/obf+Nv8Jf/8l/m5s2bfPu3fzs/93M/x0c+8pEHfu8f/sN/yB/8g3+Q3//7fz+/8Au/8NDHO9ekwZuG7PQ8RyeGoxXjzx7OTaLYWXghPgbOgiH3KHiiZ8rAdCPjwtdKBmXDdJRRFlpl6drOlEXh+b82MoYuMBzvMJ5XvHd6m41FSREi0RmiNRggixEQnMCgDoBQ4dlYLLh+b4aNQsgss0GGGNicLxjVNTcvj5lOMuQ2jMuGfQMGzT9wMRKNYZF7fBPIQ6TyFhcjeYjYKJS5J3pLESKX96ZcKDeSTKph5v3afhDRG/JFYBhqSvMUzeYX9Bm6H87C83VeZbRdvEgOvOcF6eVJx+If/aN/xCc+8Qk+/elP89GPfpSf/dmf5Qd+4Af40pe+xLVr14793uuvv85/+9/+t/z23/7bH/mY55o0vKiRhnU4a0Z4nyh2f5z2KifrjMhzCxEuT6dMRxnzoWNYBsZVTTSGuxcGiDVcnM65iUp88qbmwv5CjXVvyYLgotBYQ3QWHwIi0DgYVuriujBd0GSG25tDruyUBKdZzvOBYbRouLQ7QzBMhxl2VjGqAq5ZXSNvBGpNsA4CYHBR8DGyyDNmA0+0hkHdUDeWYahpMos4QxEaanuUFGQhIFYYNhV+P9B4y3SQvVBSpedlvJ+XCN/TwLM05M/Wqns6UZ+FDOHnFGn4q3/1r/Kxj32MP/7H/zgAn/70p/nFX/xF/s7f+Tv8xE/8xNrvhBD4w3/4D/NTP/VT/Kt/9a/Y3t5+pGOea9LgTDw3xs2jNLE7Kzit4e9ngRe9msxZI7lHIMJo3qh8qApc2FuwfaGg9o68DtiocqAq08ThS/tzthYLwHB1b8agapgPHNZ4/KJBELIYk4QIrAhOhDsXh3zxmy7x8u199kYZBoPslWQxEJwFA3Vu2ZhXAFS5pakdJkRcsjujNSCCixEwSEqoboxlZ6Ogyqwa+iJkMWiFHQ/V0LK/kXFpe852dqjEqghXdmcAfPPX72KDEJxhZ6PgjWsb7E0OVmA6qzgv60eLM/9ccn4N+bMQnVqHsxCxOsmcht3d3QOfF0VBURx9X1ZVxec+9zk++clPLj+z1vL93//9fPaznz32OD/90z/NtWvX+C//y/+Sf/Wv/tUjj/Nck4bCNAwe40q/CC/OFwHP42XyuJ1aezwaTovELj7Gsz7Zr7hxa5+tvQoXIvkisDGtePvKiP2NnFiYpb7YE8HDeLfig6/fpqgjw1nNsKrJmobZKCNkBlMbQHAh4oKAgdko4z/95stEZyhuBhbiqHJLNbSMZzUz59WQd+CDypqKMhCcoSocPgo2fQ7gIoAmaBdVw+5GTpPb1GVYj52FyN5GRjOC3ATeuTFkc15yeXfObJzROIsPka3tBZNpzXSc0QwMTUrivrY9ZWte8pVvusD+5OnlOTwKzrPz4VFx1io59Wt1B2fA+F6HeM7kSa+++uqB3/+H/+F/4C/8hb9wZLvbt28TQuD69esHPr9+/Tpf/OIX1+77X//rf83f/tt/m89//vOPPb5zTRosEfsYofLTXjf4rHoUzgLOkoe/XzCfHO4RjaTJfsV7Xt9JxrllWNZMpg0beyXjWc29SwPuXh5SFis5z3hWs7VXkjWB6SRnMbLMB47RPLC5XzMbeRBhsIj4oKnKtbfsbTpu3J0ymtVc3FkwmZbMxilforKMFg1V7kAEQShqzU+YTjJG8xoxBmM0ciFWCGKwIpiUHG3F4GMkWIMLkcl+zf444xvvmqR6/sJs4vn1b9rkxq0pG3sVoyAEq/kSs3HG7SvDZQSisZbdzYzLd0ve+xv3+Mp7tpiPnr9c6UWoyvY45PY84EWKsJ9XcnsmruEJypO+/vWvs7m5ufx4XZThcbC3t8d/8V/8F/wv/8v/wpUrVx57P+eaNBxXcvWs40XVu/ZJZY+G005uTwqnhiSLcOPWlGHZsCgsl+8s8E1kMXDYxjGeN1y8N8fXDe9cH1EOMpDI9benZGUgWGE8r0HARqH2Bh808mBEwFqmY0uwhsXQcflexZV7Fbeuj9jdzJhMa8azmqIK7G3kFGXDYB4YLBrmQ8/e0LG1WxGskNcRjFDnFlcHbASMKEVyKlkqB4asbhgGwQVhNsn4tQ9eoNr05B0yVU0s79gh0y2PEUOw8OrX9ykLhzOr1bQoAxu7JaNpw+XtOZO5kqi3rw+ZnkDU4TyT5Eclty8Szkv090Ugt4+DxpyBSMMJkobNzc0DpOE4XLlyBecct27dOvD5rVu3uHHjxpHtv/KVr/D666/z+37f71t+FqPeU957vvSlL/G+973vgcc916QhMw3ZWSmOe05wP4/ZeSxb2OPBCKeE+A/mDRf2FixGjgvbFXkTmQ8dvok4wAoUZcQ3NXkz5Z3rQ8bTmtGspvKWQR1xjeAazYNwYggOiFDnhr0NDxgabxFriV4wApN5w+5WxqAO+DpSlA0YYW/D4wIsRjk3Xx4TLXzzF7YZLQI2RO3L0ESsqLM/WojWMh858loohw6sQQzsbeS8+eqY2UZ+QKIy2q+5dnPOZK/CpbyFOrOMyppybJea/3wRuHRbSVSdW4wxRA+X783ZmFX8xns3mE2eTJR2P+lM73B4cfG4FRBPjbOhx33RnFOy9CDkec6HP/xhPvOZz/BDP/RDgJKAz3zmM3z84x8/sv0HP/hBfvVXf/XAZz/5kz/J3t4ef+2v/bUjsqjjcK5JgyZC94vJacJJhCLPaxj3vOKkPXCPK/XIQ8AHoZFIsWioC0PWREb7jRrvA0deBqITJvs1FqHKLdGBNYKtJcmCAGeJTcQE7Z/kg2E0i+xeyNjfzNm6V1EXFgMUiwZzIePe1YILd0o2tism+zWbuxaxUOaOl9+cUQ4132FUNyCQB0EMBKvkxGqqBHkVWQwdX3/fBuXIE7xGNjDmwPM52qt59df3yMvIfOSZO4MPwmSnYrJXUw4s80kGImzulmSN7tdFQawhFJZFZtjYrblxa8pvTDaemlTpaToc+vfN2cSzjMj3pPXxcRYi5s+rudsnPvEJ/tgf+2N853d+Jx/5yEf42Z/9WabT6bKa0h/9o3+UV155hU996lMMBgO+9Vu/9cD3L1y4AHDk8/vhXJMGTzjRhMteV3o68KLKs6BffJ4FHpe4miwgPlLUESeRxliGC62g1DiwYgi5ZTrxZHWkKgy21nvVN0JVGPIyardoB8ZZXBkRA7sXPFktWARH0P1bi2BwEvGxwTdCXgdCBmItTWaSoS8Mypo6JVWLE8QKEYgGotNcBjEteVCjfrFhWYzV3LaH4+8iXLs5ZbRfMxt7jAjGQMgMO5cyxtOaS3cWvDm2+BoGi5hIjpBXgfnI0+RKUhYjx2S3ZjSvWYzO3pJ0XmUjLfp178Hoo+QH8ShE+0xIyJ9TydUf/dEf5Z133uHP//k/z82bN/nQhz7EL/3SLy2To7/2ta9h7ck+n8/tDf3666/zF//iX+Rf/It/wc2bN3n55Zf5I3/kj/Df//f/PXl+vL71d/2u38W//Jf/8sBnf+JP/Ak+/elPP/IYTjrScCYSds4hXiRP4ItzJi8e4hDKDceFdyowQlYLeRmxTWRQgw1CdIbBvKHJHeXYceHtoPkKxmAjS8KAMUgyxMXAoIzYIBT3AsOpEgQTHc3AYqOwda9istPgayFYwTeCi5b52CFG8wlk13DneoavI8NZIBgBDE40whG8oc71DpMMMhOJxxDwrdslr3xtio3CZNpoRGPgmG566oFj73LOxXdKLt8tqXKLiwERS7EQojfMN732hkDAC9k8MAgNsY/8PhJOgxOhX/deLDyL9fJRiPZZKLn6PPHxj398rRwJ4Jd/+Zfv+92/9/f+3iMf77mRhi9+8YvEGPmf/+f/mfe///38p//0n/jYxz7GdDrlr/yVv3Lf737sYx/jp3/6p5e/j0ajxxrDi5oIfZ7wMIvmeaul3uM5wcDdGwXFLDDYbxhOK/J5xEb1qEsiAMNpoAwQrmRYIHr1wPsmYoJgrGAw2CjLt1OxCFS5wQUhqwJZJRSLQO0NIbNYiRgRGi8M5hFXg18EhjPN+AgOhtOGrGxoMkPIDFXusAJNZonOgKxISzV0ZCFSrzEIh3sNr/z6lME8MJt4lVdFGM4a8iqwfSVnMbbMFp75xFHMA74RIFKOHbNNTzMwmLbUaxMRB+LPhhThNMHSe/p7nCyOi9Q/L4J6Ftbv5yVPeh54bqThB3/wB/nBH/zB5e/vfe97+dKXvsTf/Jt/84GkYTQarc0Of1RYI+c+tHzW8aIvl32y3tlC2DTcfl9BVte8fCeSNSlybQGjpUgxkIXI5nZFPYCsFMqhZTANuCi4huUKEi2q//eGYhExAlJYSgfDqVCUQk2gHnpcE/G1YIMe0xpA+7XhKz32hbJePjQhM5Qjh4vgoyAWqpGlGmkzN5tF8sMGhAhXb83JmkA9NFgriNXcicpZinlkstewv+WoR4Zb7x8AcOMrc0Z7gd3LHqxNcieWTfD2L3qa0dkwEE4bek//Ci9SVPm04XnNrD8LlcGekzzpeeBUCUh3dna4dOnSA7f7X//X/5V/8A/+ATdu3OD3/b7fx5/7c3/uvtGGsiwpy3L5e9txLyeQn5Ur9ZA4DeHqHieH3ohSnKVymtZo7oFYNfpBIwwmJRpXA4uJMN5pePs9BaOdhtFugKgVjYzV7THgAjQeotVKScFrwnI0lnIUyReCiTDcD7hGIGqegkvHE1bHhTQeAzbod2Jm2LuSch2soclgtBOZXnI0o6MygnweGO81zC9YrAjFNCJD3ScGQq5VpDDC3vWMONbv7b3kGS4CF+5WzDYdwVtcIxSzSF0Y9l7KyOyLea/3xP/Z4UXOZ3uaOM12Q78Gni6cGtLw5S9/mZ/7uZ97YJThD/2hP8S73/1uXn75ZX7lV36FP/tn/yxf+tKX+Cf/5J8c+51PfepT/NRP/dSRz62Jqdvp4+O0LQi93KrH08bzWGBOrTdVRCVIDUQP1cBw6WbJcBrBGsqh4BudL7FgouCD9kOwEaZXPNvvynj/Z/cpFilCoEoeolMCIAjFAqqhoRw7bcgm4Gohnys5sY2SBxtXBAU4cqVs1HHGTAnEaDfQFIad6xkuCOOdSFNYdm/4Az0WWmRNxIVI5RyLTUdWCsU80KQqUEaEfBGZbzl2b3hG+w0XblYMdiO+DuRzoZgFqqGjHlrmlyzbN3LqDfPcr/HTIqZ9NLvH08aT2iGn2W44zWNboo80PD5+4id+gp/5mZ+57zZf+MIX+OAHP7j8/Y033uAHf/AH+ZEf+RE+9rGP3fe7/9V/9V8tf/6tv/W38tJLL/F93/d9fOUrXzm2McUnP/lJPvGJTyx/393d5dVXX02VSJ7sSr1ono3T7HHocTpwumjy08X9FuNiL7B5s2a4G5dJzlUBk7sBv4i4WjDJsw9q1IPBNkIzsDTGEEYWayB6Q10IxhhCFGwiAHSiBE2eqivVgomCq8FFqK1GJwxgmk6EYc2YNUoBMTOUI0u2EIZ7kZAHwsAyv+TYvZHRbNj170YPOEMWhDAwTK86BruQLwRqjYZUQ8Pdb8pxCFe+UpKVkWrsmI08ZSMMdgIxg+1XM/av+mWFp+eN89wgrYt+DTh7eJG98dkZOLcUaH3ifZwFnDhp+DN/5s/wYz/2Y/fd5r3vfe/y5zfffJPv/d7v5Xu+53v4W3/rbz3y8T760Y8CGqk4jjQURbG2FXefCH0Ujzof/QLT40XGcU6BfC9w+asVfiFUY0vj1du/9XbD+HagKYToAQFxiTAYCBkQQbxQDyz1OHL9izUuwPyi1UQEWWmLhvcCJoAIDHdTToNRQmFSVCGvoMkAmyIVDzinkBnEG8JAj1MPDXffm7G44KiHWqb1uITkMBIWm4bRvcBiyxKGhunAsajBNJF8Kuxfc8yuGq58udIeDhdsyufQ8q6zq47BTmS00zC7Zp9ab4Yej4fn5RQ4bVH7HqcDvY12unDipOHq1atcvXr1obZ94403+N7v/V4+/OEP83f/7t99rHqyn//85wF46aWXHvm7mgh98jdkPCdt7aF/oHs8ezx3oirCxlsNfiEsLqyM3pgBCDZoeKAeGvKpQABxauTbWv8WxTC/YLn+axUXv17jKxjuak5APQSMwQg0A8tgO+JTQnVMUQUblDBEC66BLBGI7hu0+2S21Zui1W3q1EbXGEMYWOoLljgyqZ78fZ5pA9OXHINZYLQTqEaW6NumcEIzMUxf8gwWwmg3UI9NkoDKgX00I8NoNzCYR+pRbyw+bTz3Z+Yh0Mu4eqzDmbgvennS08cbb7zB7/pdv4t3v/vd/JW/8ld45513ln9rKyO98cYbfN/3fR9//+//fT7ykY/wla98hZ//+Z/n9/ye38Ply5f5lV/5FX78x3+c3/E7fgff9m3f9shjeFqRBncKa2edhUWjR4+HgX3Ob1c/j4z2AmFscB2D2NbaH6EeGrJSWGwZQgBXaYKyjUCEZgjlhlEZ01zwlUYVXKXRimxmlGQI2EpwiSAs8x2aRAIgVVoi5RMcHWv3qZcUhogOmgFkVUSMYXHZEocP7wAIG5bt9+VM3qoZ3dE+FNFbZpct+y9lhA1LsRtwQai9WfvmEQ9uJmRNJPbvpqeO8+Lc6de5Fw/P+33/MOhLrj4D/LN/9s/48pe/zJe//GXe9a53HfibiM5eXdd86UtfYjabAZDnOf/8n//zZavsV199lR/+4R/mJ3/yJx9rDBY58RvytC6A52XR6NHjUfGohoZt1NNfH3p7mghGDPUY3I6SgGpicKXgS5AGsLB/3VJMBVdCPdbvGAG/EEwFWKHJAVnlNYhPFZUS8VguUolMiE/lWY0et9XYdnMbLJr/UI8NvlTJ1Oy6Y/ayR4O8D/mOECFfhJQAHtM49F3aRm8l0zH5Roi5YKskp7IQc51D8dpE7mlEe3ucPZxEhL5f51489Nf0dOG5kYYf+7Efe2Duw3ve854lgQB49dVXj3SDPm04C6y4x/nAaSWwpw2PuigZL+DANULsNK83ViCpleqxoRkYXAOSWepUrSgMjUpz7gWaoQFrEC/YSnMgfOhEEKJyBLz+bjlaGSkmdmADBItuZFJUIUUgxIIJKQ/CgC+FMLTs33DsfFNG2Hj4RORsL7L11YrN32iwNYQCqolFvGF4L5LPKrbfn1FPDPWmYXRTO177xYo0NAMQY5jdcMgjRDjOC86rt7wnjz3W4UzcF7086XzAGTmVUqIePU4CT8MYC+coX+c4xCHUm4bibqTKWOY0SA5hAMU9KC8a5lcttjGayGwFPxPqiWF0U/MhXCUp8Vk976bRPgwH+iuYFMFoDy5KBAjKD9oSq4J+31UpItHKlWzaxkE1hHrLsPseR7XpiBm4GDEzUQLzgITkbC9y6f+smLzRYGrdp1vAqIzUc5jdsPhS8z22P+CpNw35l1V+VY+UYNgGBvc0d2Nnc02+Q49T43jqnQ49TgPOjFPhjAzzSXG+SUNfPemFxHn11D0LnAuSLWrgm5TA3IwOGdQGFi9bslmk2I00I0P0yfC3EAvAamO2mAnGQDbTKESxExm+IyrPcfp38VpaaDm1AU1IlpS4HA8cehlFoBNxICVHG9Qgx4CtWXrAbA1ZQDtOlw3YBhM0d6LesMxfssxecogFP9V+C/WGoUndoRFh69drjRzUILmes4lAI+R7AcmF+VXNZyjmhuFupJlAECUXvtRIQ3VR/x3uRqob8blWT+pJ8PE4LeSlx/lGfx+eLpxr0mB4tPJyZyCHvwdnyDPR49TB70WGbwayXcEG9erXm4b5y45mY/W2iBuG6fvdatuZbru4bqk/YMh25cDncQhuFim2U/WkPEmGGiCKVl5qUAM/VV0Vc0yvhc6LSFCJUihAIrDQ/bYlXtsoRStRcguWidTRCwbws0B+L7Dxf9VgjY5JVEo1u+HYf69HrDC6GZCUrxC97l8ciDXYUsh3hPllPU62J2S7keqiJWYczWmoIduN+JnQjJ+f4X4uSHCPFxo98X3+6BOhe6xFXxiwR48XF34vMvlyg1toTkLwKvkZ3BOyWcP++/0h4mCZ/iaD60QlQopKVDfkwOfDrzfkOwbJhGakxrtp2zGE9K9V41paEpDrvtchWpalTm0DsU6RhhRVgFRRiUQ+WolTBF/pscRBGIJdQLan28SBUF42CAa3EDZ+oyGbRxbXLG6uDd3cdCV5AnTHXqtHZbOI5NqwzgWVW1ljoFhF7y2AF9wMfBCkJ/k9ejw27kd8X4So+5kg9n1Ow/mAM6SSiT16nAzCGXnwexyCCIM3A34/0kxMaqJmkNxQZZDv6N/3f1NHqhQj+d2UxJwbqkudvxlDSB50N43ke9AMDNmOGty2SdGAqGVU26ZtbT5DGhTH9buKhRr8bsayypJJlZZI/9hwtNmbsBqiS+TBkKIXRqMEmi1tCN7gZ5HiroANWCC4VPEofbe1SdqxZwthdsUQxoBLVZI6yeItTKN/x/XOmNOCPpL+4uFFiLq/COfwIuFck4a22Mijon+59jgOPQk9m8jfiUxeb5K0BnDqVW8uaPOzMIZiT6hmqsEv3goMf6Mh2xcIBjxUW4bpb/KULx18rfqgBjxG8PMkKRqq4W1LtKQq2r8BAT8HPwPS30j/iEvSIzSaIF732wwgXAC/l5KpSceTo2VX27zj1nmXTVPitNHmdEa0KlTIVBsVBxZbRvzcEHPwpdGxB1mOAaMlVQVoxobFy44wNlSbkeKeHEgW15MRsplQXjQamelxKtCTtx6nEWfhDdHLk3rcF/3LtUePFwduLzL5SoOfQbNhEGcwEfxUKxyV1yDmBrctTL4c8Pcig7ciJqrBHkcC0TB4J5LtVez9FmguWcRrd2dTCaaJZNOoBnySFtGscgPaPATTGvqpiRtOZUY2pCgAiUeIEg7xELYALPXFSLYNrl5t1/ZrgBRVWOPxMCm0bgLp5bZapttIhzGG8opheDNiai0b6xYRs0gEBVhcg+lvyZBNiwPqVxz5vKHYEZqxjtU0Oq9xoH939iyYBD169DhJvHAR+V6edD6QouM9nhLC8x5Ajx4PQpIlmVrlPm11BLEQnOYUZNtCM9LEXsSQ7URNFC7AL4A5hFzf+NlduPC/VSzeZSEaTBDEGbJtwe9qErCgeQTULJOVSU3ZxKfSpLUa8bLGg7WsUipQbwDOaFO3hVY56sqU2i+0xON+sGkOxHciE4lkSAaLb/I4afB3ozaQq1dJ2XEIzVWHMWbpVIkbltn7vcq+dgUzS9WoLmk0Im7Y3gHzlNFHxXucRjxKRL6P3p8unGvS0OPpoidkPU477EyrHIUtg4kWPxWCaxskgBQGNwv4PcBabUZ2U3X6bcIxJOM5RQvcHOw84qqUPDwUwobKh1wqO0pMEYGUAN1GD0IGpFKmJqyiAC0kaSqXfRwWYIJgomAbA6ETUThEHB7GkyUeLQGbxmMXEayhvmSII5i95hhYYfCmmqPNBMLE0GxY3Nww/nLD9P2ekBLGQzdZPHWBDodL2PZ4auhJWY+zjrNwD/fypHMCZwyuX7x6nDIEOSNvjxcAJjVVk7EhXDDYKuJmQii067NEzS8QbyhvGE3gDatFQjyazFy1fRc0YpDfhTiC+oLB7QvZIl3TqH9vezBIqirkF/qZK3X/OA50f26hRr3ux9T6PalIK2uKMtjU3yGVTkXWy5KW+zwkW7KlSq9MpT0mmg2LL2HjCwFTC25Xe07U1w2xsMTCIIUhAH5bGL0ZmHUTxo2BsVlylt6Z0KPH/dFH6c8YenlSjx49nhd6IvvsYDMDGbgGZGBorln8dsQtBCpAVH8fRxYZW0xq0mbaJGASgYipBKpJRngFjAS30NKlJmjFIxNXpVBb63nZhC39HDlYTenAeJvUjyElLJg24Tmk3g6po7RNpV4xLLs3m1RNSexqv5I0mjF9hwj5Hc3Mlkw7SIsR7CxVg8ogf0cwCyjmQswjkqFJ45ctYWxwu4KdCbHbf0H0szbaEPtoQ48ex6In1iv0c3G6cK5Jw+NWT+px9tFrfXuAGq9xw+LvRZpMiUN93WIqlf24qdBsGv29gTjWMqxuIYTO27Ptr2RSp2cbgD1R6VAy4MUljVDbvK2NLKwhBm3loyNoE5YPfYbRBGti2l16sbWRCTFAnchCJ2+jfQkupUOXIHiDJNLgdgV3D6qXBBcMZiqajyH6HVcL4sDvCtl2pHzFYY3BB0NIpMDtRvI3A3Yvak8Jr/kO1cuOsNm/gXv0OIw+2nzG0EcaevR4sdGbKj0AMIb6ZYebCX5HiKPkrTcqOYoTS/VNjvytiLsXCVsajXDToJIkv5L22OTRX0YI2tQAp9vYMkmeutIhUoSiSwba7x5eRI7LS7CriAFOzykaWfZ8aHMjYuqbYEKKkqQ+C6ZMh82074OtZMWqG8AKg68F4iBgZ5rEvexW3UY9kuxq+JVAfcNgfKZ8ZDcy+HKDKYU4MoRRqqB0T2Vgi/d74kMQh57k9zhP6KPNK5yFuehzGs4JHAZ3JqoAK8JZoaI9epwhxE3L4v2e/M2A24swAzyEi+oNj5uWyhgGM8HtCGHTUl+O+Lsqt2k7qElqfGZqzVXoJjHHLB0sgPGo8Vyp1EiGqBQqdW1uS5M+EGaVEC1JFiU5xIlBrAEibgeNMLTlWu2KoJiYohC5jsXUYKc6HrFKJlyq8BSNRmWsKBOxYbWv1qI3ot/Jbgl2OxBHhvzNgCk10byVI0muCd9uR8jfDCw2HixV6kl+j6eNnpj26PFgnGvScNZwlghOjx5nCpuOesPSdHT3MjIYY1RTu+mo32/wLbGYOGIIELRCEIVg70X8thKHMAQ7TzkIHshQSU9LFEYGW4oqhcpk1KemCtKVGrkOgTicFG0An3IcjFZwio3+bBpw2zqGdt9tB+c2soEkMtPmM9DJxygMJkkkRNryqrLaptM3os3jkPSzaWD8H2qmVntgrM1fMFqNye3Fo/kPPXo8B/TE9HTiTFyXXp7Uo0ePHucMxiBtlR8RzEwwjSwJRNy0VBsmfQ5mEXF3tNmbmaPJw61UZ9YmLaRdJ8NfvBIKU4pGJFrJUSq9SkpeltT5mfazNeVU2iZwsdD+D65R6ZC5GzWiUbOqppR1JFEtGQngFipbWu4zarRAqpR70UY9opITg8GgyeC0RIdVQrag2/q7wujzNTI0yMhj1jk8PJiZ4Bqz/u89ejwF9BH7HicNI7J0sjzJPs4CzjVpMMZgz4BersezRTwjD2+PpwO7G1cRhUbAG8KGpUlSpZZYWAOmCth7ETdDeyZECE4lQlgwU8HNQEqWhMCQmru1UQXSz45lZaZusnMnPeIAlsnXcZVQ3ZaQ7Xq+omdJaExy+otL+60O7tvEVSQBlIwYVTppXkQmuAWpxJNGVSTlf5D2v0zy3hGkBBkJcePoGZgG8GZZhapHj2eBPmJ/ttBfr9OF/nXdo8ch9ETy/MLuRrIvN9hStMTo2EADWUrcrT+QETctdjdS/J819lZIRrhADlTa3E2bNyTPf/LIt5WV3B4qDdoEnEWqqAnGNQeE1S2JWFu0vS3bKnpMI7p9zDvEoT2n+ujXTbOKDhxwvB6qztQme+PUyYLnQMaemE4EI8mflmOLIFHw7wTqCWA7QgMR3ExoLlnM2Oq+zxh650KPHj2AXp7Uo0ePHucOIrg3E2G40NHht4m72/r3OPG4Nxrs3YDxEHOL24lIDuIFOwW3v6poFH2qrJSauYWh/t3UIAimzWk4lInZVl1aa063EiPhSM7CA9F2mm4TmO87JzqG5gI0rymLiRcbsq9GzXNIEYZl/eo0hrYCFbnR0rW3hXBBdMVpwE2FWBjCy56z2q+hdy70OO/oibOir550TnDWqif1OL3odbJnH2am3Y7DeH3ibhhr34JwJ+Lvaqe0ODCrsqNWtxMnS0++WE1QxoAMAAc2Gsi0rKnd02ToMErJxp2+DbZh1UshcsQTtYwUdBEfsvJSS1C6ZWGPaUMrAJn2p1DCYQlbEbd98FjSJnI7wBpiobkPYWiJQ4Pb0YPKwNBcsoSXH67cao8ePU4nngVxPotRyBcZ55o09OhxUujJ59mHaYxWEfLJ+j0MD3YmuNJo3oFBExva5mrJsF+WTU1koTXsl92bo2hp1r20jT8k8WmN95RHsLYl6mGykCICj4JYJOmSOea7qQlc3FRy4O8oCTClwKWMZjOSfT1AvTp+zMA4g2RAYbULdC0wEE12NiCFRV7ymE3Xd3vtoHc89OhxRtHLk3r06NHjnMEnL3mD5iccRspJoAAys6xEhAdyA6WAk1V/hq4h71EjPKgBHjPlB2I6EYPW6W5X2953IWm5TSszasu7PgQkg3DJYN/uNHJrj99Wc2oDLtLZdwY4S7xgobKEmWB3VapEamrXJkeb7YgtQbLUNO+SRzKDnUayL9fUHzBIH2lYonc89DjrOK/Et5cnnRPY9L8XDbFvU9OjxyOjLavq7gZiZg9KlESw00i45IiXLeGSxdwLmEVExhYZGkwj2qStzU/oft2iUQkESaVRY66SJBowqZoRLlU5aqMNnZKsB9D2cTCdw6R+Cg+E0dwKV7NsRndA/tRGRtJndgY4wd1qMBiaVzKdm1yQDat9JxZxFSEJggkpidpBuGiwlYHbgXDNEy9Y7HbEvdnQbGQnn9OQyuXSoERwXZ+IHj16nDieBvHtyfTpwrkmDS8qXkQi1KPHU4cBeRmYCm47NRxLibt2KiqreTnDWoe8YpB7gn27wexF7UcwNNg6WdyihjloIrCWMhWNNLRlSYtkmIck65HUC6FLEoT11ZPaOqwZSlQe1UuVoUShLb1aH3McuxoXDdhSsPcaQjL24wWrPSewSIi4PZCg3xOLJpSPnB5jJpidgAwccawVqMxMkBNs7GZ2lYzY3ag5JU47foeXfR/V6NGjx9NBL0/q0aNHj/MH2XQ0H8hxbzaY1qh1hnjJJcPTrbb71gL5qsG9FTBTfePHLUe8anB3A+QGycFMtaKSSb0aYqGRBLtg2SDNzvVvkjo8H5eUDBzIk1j7+4PQyqTaPg8tYVi3nyTBMqTIAWB3IlKBFAYGjnjdqBRpB7BR+1gMDGYRMYVVj78DCqPnWWnOg50JtjHICTk5zG7A/1qNKYU4tiqnasDfjbhpTfOBfHn9epwt9NHzHqcZvTypR48ePc4pZNPRbNgkcdHmbuskLrLpaL59QHh/xOyrq0kmyQD+P0o1mmtgaIheIOiqYBaaRxA3tAua20UN627lI8sqZwL0Td3tq5DyGUzd+R0eSB7anAdbQ5ygSd+i1Z5ojy1rvpOazokFswDmEQo9VxlY5Bo6VwbCVYvZF+yuwVRRyVCeiIQAUaAxiDMp6fwEkMrlmlI036JTLjdmXTmUPXIde5x+9NHz84v+yp8unGvS4IzB9QvIWoS+/nKP8wxjHiybabXzAdX2t8RCBLnqMHeEMLIq77FaZtW9Xmv0woNJ2cZiZCUDShWL2sRpM0+HsokXJMNeHCwbsaUIxTKfYc2jKyl1oE3Mbo14e0+QgUFEy79i0GpILdqoRyfyYQTMviAjOSjf2rAEa7D3olaIKpQ0iDMaZakiMtATsdNIvOR0zk4AZiaY3UgcryEFxhDHdhU5OkE5VI8ePXr08qQe5x49merxLHHWSKrZDSsJU1AJk7Ta+Q1LvGgxdwx2NxK3LGRg7kXsnZhKsRrNRYhqyEsB0WnZVxDti+AANKkYr7kCJrIy5BPaKkeSukEfqbrUkpCUoB2HQGGJQ4vdbjBVqqC0phfEsmFbWw0qpOpIWymXoSvfesmR/YcSOxfiRQONSdETQVzUCIWPmJmShxNt7NaIXofjIheeVeSoR48ePU4YZ0Ve9KToSUOPHj2eO84SSTW7AfflGhaCjK0apA3YuxF3r0SGFlMlyc9MsLMGGVnM3aBGd4GWaG3LqiKYChiC5KIG+jiFFpqgnaQnTg10q1WKWvKw7O4saJnYtq9DK1tqcxIqln0XGFpwBjOySGGw+6nS0HE5DYcSs01mkA9kSOExdURqMJlKnkyqVmTmBgoDEwtTwZZxFUrZcMg35diTzC/ILMYZbGN0bg+j0f4R9nBVrHOEs0bMe/TocfrQk4YePXr0eFiIYN9slDBcMFBrszNxBhkI9msBm0XCu7wSisZitpMLX7SpG7lN5VdRQ9oCFZh9Lb26JAuZwaSypaaMShIKo/0iRMeylA6FJGXqEAVApUsj7SlhFkoOzG6EkWDvRuw0asQDWBtib6s32bSvDI2CBIsJgr0ZMDtBt2lUIiQXncqR5lFPe6j5HzofEN+dnXxC8sggWw5zJyBryuWaaUQuOzghOdRZxFki5j16tDgT961Ieik/4T7OAHrS0KNHjx4Pi1Q2FA/2VlwaxgZJ/Q4k2d1GiUFukKsG+2at8pyBWZYCJYga8rDqBN2ShgqV0rTJ0YuUP1Br1SLTCFiTCIUcNPbbn01b9lXUiE+SJhNAgmhjt5KDTeXaCEb6PgaVRhVAykeQzGDLiP1aWEVbnMAu2JlGQuK7HFzKltItcj0nU0Y16k8axhBf9rhpxGzHZQSIBsw0wkD/fl6jDD169OhxEuhJQ48ePXo8JEwjmLnAPKhmvzDLSAGzAF4wzqmx3JY0MoY4sPgQiLlZGs+aYyAro92kqELy7puGgzkFrdEfU8JyJQe7SbfdrNHfJU828pwVIXEoEVmwymFoyYGwJCbLnzOImwZyp7kJxiAbBnMnpmiLhUXEvh1gLjo/s4CJQnjNIMMUUXgG3n7ZdIQP5Ng3GyV2Mz1fueyInXK5PXr06HGS6EuunhO8qB2he/SAvrb504A4YJYkPRutta3/GAfSAEa0A3QXo5TY3GilJfajEoduHkGG6vFF90GNvqFbdVOB5iK0ybzdhOcuAQAYpO/O0ucDkCJ53xeySn5uvztEIwA2yZgqJTNiUiJEBBlZxBrkgl12wmY34L5RayTDaoTdgPZtMDXxXYC3z8zbL5uOsGE1ItSkxOi+I3SPHj2eJvrqST169Djr6Anx04BgkmUuXSPdpipGokTC0CEUANbChiZIUwky0J/FgqlTtMEbjDGay1AHzR0YGCBiZm15Ve1Mbabx+EUmRSZk5HQ/Rn9Gd6WlXrtICdUURj3zA42oICCbFrmh9V9NFTFDR7zisb9RQx2x3wiYRVu5KSV/J4mT3YlAjdzwyGX/7Lz9xsD4yFn26NGjR48nRE8aevTo0eNhEVJisVGZkuSo5Edk1Wch63jxSX+bReKrOWYWtYrSImrisAWcWbroxZkDOQlYwFgk0+iAxNRsoeZgLkL7c4bmKVRASG2fLZof0RKURo6WZa3AEJChXe0zMzBxWgbWGeRKRnw50/F+vca8E1KOQqrOJCblZMiyC7RpINwo4N0Zxhh6f3+PHi8W+oi2vpLNE07Dk37/WaEnDT169OjxsPAGhk6blM0iZp4MeAPxoodF7HjbU7WiaYCBJb6vgP2AK0uVJoEa117UuC8FE8OqFGtOMsANFOmzAs1RaNEmTqdcBYzR/dVgdtL3AxrhgFUYvRsIaZ3/NRjRDs7kEN6dEd8/UMlUZlcyHxFkaLD7EaxgglmVegXdcZ6kQVGw9xriu7MTvQw9evQ4HXjaEe0zES/v5Uk9evTo0eMIRkYbm91pkGsOqZ0a6xZt4PZOUJs8CuyKeugve/XQA+6tBnKIr+WwH7BvNer9d7KqoLQsmyrQaE8FKYz2RMgMdiarXIhDSdI0skxkXvZmaP9riQUcyJXA6NipWSZMS24xFbhfr5Etq+M3afk2hnjF436tUtITRclUW+rVpO8HEG9USjUT6Dsx9+jRo8eZxnMlce95z3s0ZN357y/9pb903+8sFgv+6//6v+by5ctMJhN++Id/mFu3bj2jEffo0eNcwxg1oAcWsxPV816oB97sRNh0hO8YEr51SPgtA8K3DojfXMCGxb5Rw552QyZLUp2hRTbtSkYEatA71PCPotKkIIhr8wRYVUJq0fZraCsfteVWh2l/rXuoJQo1kIGMWXWLTka/FJb4rhy54pWs3Glwv1bCbqcN9QVPvJYiLgEISZLl0c8sWn523JFH9ejRo8cLiLZ60pP+dxbw3CMNP/3TP83HPvax5e8bGxv33f7Hf/zH+cVf/EX+8T/+x2xtbfHxj3+cP/AH/gD/5t/8m6c91B49evRQYvCBQnsv7CQvejeisC7Z92aN/fVS5Ur7qIHdViAqrCYfzyPiUm6EgJ1HbSa3oz0ZsIJYA0PBLIxWOIKDORBtBMIBIxDvNH9CWBnurcPfg/EaxRCP5ltUEN/lYSOdQw6SOcx2wL5ZEzcSwRkZ5FqmkqpKyZPkVo8bUlnaQWq4ZqxGInr06NHjRUTf3O3ZYWNjgxs3bjzUtjs7O/ztv/23+fmf/3l+9+/+3QD83b/7d/mWb/kW/t2/+3d813d91yMd2/ZpeT169HgcbDo1oGcpsfh+pT13A+4rJWYm+h2n+Qu2EgyR6JzmDUSDXPKwFzF3Gi3Puum01Kk32LsNkpvUZC1qZaQkB1oSh1ay5AGnoQvJLaaJxNxgW6JhUwlWk0q4tpWPBhaGThewtiyr1XKrS4I0NsuIi9uPyFRzO0yISa5kkIElvuJUonTZnutOzD169OjxouC5k4a/9Jf+En/xL/5FXnvtNf7QH/pD/PiP/zjerx/W5z73Oeq65vu///uXn33wgx/ktdde47Of/eyxpKEsS8qyXP6+u7u7/LknDj169HgsGANj/TEel8Umgn2zhlqTh/V7qIwnM6lZXIo4GANDq12mC4uM0MjF2GpH6FnAiEEyiO/N4Z0Gd7NeJmIDq6ZuYtSAz0iypySHcrLKYxA0euHBTDVhOl7V5GXzRqPRAtJYC6PEqCsz2nSE31RgHdiv1ZiFIEXq57ClOQ0M2nyI/j3bo0ePFxN9c7dnhD/5J/8k3/Ed38GlS5f4t//23/LJT36St956i7/6V//q2u1v3rxJnudcuHDhwOfXr1/n5s2bxx7nU5/6FD/1Uz91kkPv0aNHjyWOdT7MInYnIlsOYkoKdmiTttzAAkwZtT/Dpu7FLEQbxW06zCSVR3IRY632dZgDF1VaxJZFjNEOyEmWZDKjDdxKAZ8aSJDKreYsk6FNFIhp3A417I3FfbWGMiVnG6PEY2FUyrSIsNVZNjY9fMgRX2owb1WYqWCMYIxFLlvk5Rzbd2I+tTiW7Pbo0ePh0VdPenz8xE/8BD/zMz9z322+8IUv8MEPfpBPfOITy8++7du+jTzP+RN/4k/wqU99iqIoTmxMn/zkJw8ca3d3l1dfffXE9t+jR48ea9GgScKZQy4YNeTnArlKeEwZYCHIQLTxWZn6P4wtckGbqmmXNS1hamYBvEHa7YYerKhsCNHeCjWr0qwL1IXlUblRbjWq0fZWiJovIUOD2RHs7Tp1kLYqb4pAHTURe+wwdwNyTQ5GDoyBGxly3SOzJFHywMj2EYZTjj7S3uO0o79HTxdOnDT8mT/zZ/ixH/ux+27z3ve+d+3nH/3oR2mahtdff51v/uZvPvL3GzduUFUV29vbB6INt27dum9eRFEUJ0pCevTo0eOh4NEchkZgYJHrHrMdYB4xIkhuMNbCptNeClGbx8klr4b7ImK2k1SojjBLYYKhhRghWihBJhpRME2Kk8e4ersLEIySg02H3Mg0i5L2WQAAHj1JREFUSbmSZYlVRDD7lUYePIeMfW1mRw5mNyoxGK+JHhiz/vMePXr0eIHRy5OeAFevXuXq1auP9d3Pf/7zWGu5du3a2r9/+MMfJssyPvOZz/DDP/zDAHzpS1/ia1/7Gt/93d/92GPu0aNHj6eCVt9/JyCZScRBKx9JEMx+JF6zyGuDZMAL5uu1evTnQbsu11GTlnOrlYlqwew0auCLwMQhF5Kxvt1g9iNMU9+EiUE2PHLRavO2WrRELEaTr0EJwztBpU9jq8GNGo2QYDS/IteOpbJIkYQePXr06KHoqyc9fXz2s5/l3//7f8/3fu/3srGxwWc/+1l+/Md/nD/yR/4IFy9eBOCNN97g+/7/7d17dFTV+f/xz5nJZRJygQABwUDAr9+mVAQkEkHb0poSLdpiKVqlgpHikgaKxtUS1BK8IGLxskQKihaxhQW1raJWcWEUtYoNglihXL4q/MAgVyXBRHOZ2b8/TjIkkAwzk4QzQ96vtc6Kc2afc545QjjP7GfvfemleuaZZzRs2DClpqZq0qRJKiwsVFpamlJSUjRt2jQNHz485JmTAKDdWZZMrzipslrWUa9dGhRj2V/eVxuZZLfM2fFS0vFv6E1vS6r8RtbntbLqjN2L4JVULSkxRr7uLlnHfHZPQbwl080tuepnSuoZK1Ptk/Wlyz73/8TZyUaiSzrmk/7vhDjqjKxKe9E4q5PbTgpi65OKhgHTMbL/u9J7/DUAoMNx7Nd/fHy8Vq5cqdmzZ6u6ulr9+vXTrbfe2mTsQW1trXbs2KGqqir/vocfflgul0tjx45VdXW18vLy9Mc//tGJjwAAgRljr7DcM0Y6XCvra589TsBtyXR12wnFiQOFU9wyGbFyHayzv/3/xthjmTu57B4Fj0smxierwu69sMp99Yu01ScBVT6ZBJdMr9jjCYNl2ec9N17aV1M/farPnm0pybLHK3xeaycnNbIXhWtcolQ/napJddvnM8Y+nvELADo4ypNOgwsuuEDvvfdewDaZmZkyJ3TZeDweLVy4UAsXLmzP8ACgdSq8shoe0L31C8AluGS6xUid3YEftD1umVSXjMclo/pVleMarQMRY0+BavrESce8x5MAb/2aC27J+n810meWfZ6G5CTFLZPsscclHPXKOlxnz9ZUWWefp8ZeeVpfy55pqWGxtgqv3XORGWevI3Hi52p8DQDoSJg9CQAQtgqvrP+rltWw6nOMy36Y/8on1dXJJLsDfzMfI/sYt2X3Fpyozn5YV2e3TK/Y40nAnhpZlmSS3Md7Ho54pcpqu5chpf66XsnaX9c0Prcl7au1y6YSJNUaWd/Y1zLJbvnOT7AXg2vuc514DQDAGYekAQBCFag8xxj7m/hvvDKJ9eMRVD/Naqzbnj1pX41MsqflxOHEAdSN25n6cQhdG/VWJLpk7a2xByt3iTnePs6yS5gaX1Oqj89nlzs1tE12y/SR9HmtPdFrkkvGVd+LkGknA9aOb04+rrlrUKoEoIOgPAkA0Lzmyo4al+dU+WQdqpO+9sl11GcnGJa9FoLpHCPTyWWPQ2hp6lKp5QHUDQOXPfXXa3g4r/LVj21opuTJsppeU2q5bYJb5mxL+sor3/94pORGYyIqvcFfg6lXAXQUPmNvrT1HFCBpAIBgtVR21Lg855hX1mGv5DYyHrfksiSf7NWga+rs2Y685tRTlzY3cLmlAdQNi8jFNFPKJNkJR1Wj6VJP1dZl2WtBdGrFNQAAZ5QOnTS4LZfcVgv/AHYgXuNzOgQg8vnLjgKU55RVS9X2t04msX6cgGTPoJToklXlk74wUmpMcL99Gw9cDjRTUeNF5OKaKQ1qGAPRcM1Q2oZ7DQDoCBgIjY6ExAmnS1QnqMGUAB3xScYnk2yv1Cy3adTWsleAPuaTr4c9DiEoway0HMoYCCmktuFeAwA6AkttMKahTSJpfyQNAE6bqE5QvT571qHYFqZKjXVJdV5JltQ1RjpUJ31tpHjVT12q+kTCkqt7rORqw7p/S1Jvj1T5tV3K1GgMhCp9ksclq7fn+DVDaRvuNYAgRPUXCUAHQ9IAAMGoXxshYHlOrCWZ+nbpsdLROukbI9WY+nECluRxS53b4Vdvilv63wSprEaq8PrHQCgtRup9whiIUNqGew0gCFH9RQLanTsavoI3xt5ae44owN9WAAhGost+KP7KK33jlb72SdW+4/9gVPrsh+du7vpv3i2pZ6zUK1bqFSedFWOfo3ts+5XwpLilLI90XoL0nQT7Z5an+Yf5UNq2xXEAcAZqmHK1tVs4Fi5cqMzMTHk8HuXk5Ki0tLTFtkuWLNF3v/tddenSRV26dFFubm7A9s0haQCAYFiWlOqWjnmlXTXS3mr7G/eyGulgrRRvSWfHS73j7f8+6pVq63sf3LJLlTwu+xv59lzHoGEMRGqM/TPQtUJp2xbHAQDaxKpVq1RYWKji4mJt2rRJgwYNUl5eng4ePNhs+3Xr1unaa6/VG2+8ofXr1ysjI0OjRo1SWVlZ0NckaQCAxoyRKr1SeZ39s6HbuMJevEzxLimpUT1/hc8uQWqYBrWhhCctxp5JqcJr/0yLsffzjTwAnDlMG20heuihhzR58mTl5+drwIABWrx4sRITE/WnP/2p2fbLly/Xr3/9aw0ePFhZWVl68skn5fP5VFJSEvQ1GdMAAA0qvMfr9euMnRikuO0So321dnLQI9ZuW1O/oI8lu7a/3CudVT9bUopbSvbUr1tQf57mpkoFAEQ1yxhZrRyT0HB8RUVFk/3x8fGKj48/qX1NTY02btyomTNn+ve5XC7l5uZq/fr1QV2zqqpKtbW1SktLCzpOehoAQLIThZ1fS0fq7PKiVLf984s6aWuVPRtSUv2Dv2XZPQ4Jbntgc5L7+MDgBpTwAABCkJGRodTUVP82d+7cZtsdPnxYXq9XPXr0aLK/R48e2r9/f1DXmjFjhnr16qXc3Nyg46OnAQCMsXsYvjFSl6YLtynWkg7U2qVKXeKaP96/GnKEzIBhDL0cAHA6+Oq31p5D0t69e5WSkuLf3VwvQ1u4//77tXLlSq1bt04ejyfo40gaAKDKZ/cUJDW/cJuSXPbA5q+NlNTM8f7VkCPgwbylEiumRAWANteW5UkpKSlNkoaWdOvWTW63WwcOHGiy/8CBA+rZs2fAY+fPn6/7779fr732ms4///yQ4qQ8CQDqzPEH7OYkuOxeh6+8J8+n3TDdakoErIYcqMRq59f2+wCAqBYXF6ehQ4c2GcTcMKh5+PDhLR73wAMP6J577tGaNWuUnZ0d8nXpaQCAUy3c5pWdFMTWT6V64mrI8Vb7T6V6KqcqsTpa3wOR7KFUCQDaSpizH510jhAVFhZq4sSJys7O1rBhw/TII4+osrJS+fn5kqQJEyaod+/e/nER8+bN06xZs7RixQplZmb6xz4kJSUpKam5LvSTkTQAQMPCbV/U2Q/YjR+qG3oSuscen0UpEldDPlWJVSfX8bg7UaYEAG3CoRWhr7nmGh06dEizZs3S/v37NXjwYK1Zs8Y/OHrPnj1yuY73fi9atEg1NTX6+c9/3uQ8xcXFmj17dlDXJGkAAKu+p6DSG7gnoWEdhkgcZNxQYtWphRKpSBusDQBolalTp2rq1KnNvrdu3bomr3fv3t3q65E0AIB0fFG2hkHELfUkNEylGmlOVWIVSYO1AeAMYRl7a+05ogFJAwA0iOZF2YIpsUqLcX6wNgCcSRwqT3ICSQMANBapPQmnEmyJVTQkQACAiEPSAABnimBLrAAAbcLy2VtrzxENSBoA4EwSzSVWABBtKE8CAEStaC2xAgBELJIGAAAAIBwOLe7mBJIGAAAAIAyWMbJaWV7U2uNPF+beAwAAABAQPQ0AAABAOBgIDQAAACAgI6m1U6ZGR85AeRIAAACAwOhpAAAAAMLQkQZCkzQAAAAA4TBqgzENbRJJu6M8CQAAAEBA9DQAAAAA4WD2JAAAAAAB+SRZbXCOKEB5EgAAAICAHEsa1q1bJ8uymt02bNjQ4nEjR448qf3NN998GiMHAAAAjs+e1NotGjhWnjRixAh9/vnnTfb9/ve/V0lJibKzswMeO3nyZN19993+14mJie0SIwAAANAixjS0v7i4OPXs2dP/ura2VqtXr9a0adNkWYGLwxITE5scCwAAAKD9RMyYhhdeeEFHjhxRfn7+KdsuX75c3bp103nnnaeZM2eqqqoqYPvq6mpVVFQ02QAAAIBWaehpaO0WBSJm9qSnnnpKeXl5OvvsswO2u+6669S3b1/16tVL//nPfzRjxgzt2LFD//jHP1o8Zu7cubrrrrvaOmQAAAB0ZB2oPKnNexqKiopaHODcsG3fvr3JMZ999pleffVVTZo06ZTnv+mmm5SXl6eBAwdq/PjxeuaZZ/Tcc8/pk08+afGYmTNnqry83L/t3bu31Z8TAAAA6CjavKfhtttu0w033BCwTf/+/Zu8Xrp0qbp27aqf/OQnIV8vJydHkvTxxx/rnHPOabZNfHy84uPjQz43AAAA0KIOtE5DmycN3bt3V/fu3YNub4zR0qVLNWHCBMXGxoZ8vc2bN0uSzjrrrJCPBQAAAMLVFlOmRsuUq44PhH799de1a9cu/epXvzrpvbKyMmVlZam0tFSS9Mknn+iee+7Rxo0btXv3br3wwguaMGGCvve97+n8888/3aEDAAAAHYLjA6GfeuopjRgxQllZWSe9V1tbqx07dvhnR4qLi9Nrr72mRx55RJWVlcrIyNDYsWN15513nu6wAQAA0NF1oIHQjicNK1asaPG9zMxMmUY3MiMjQ2+++ebpCAsAAAAIzGckq5UP/b7oSBocL08CAAAAENkc72kAAAAAohLlSQAAAAACa4sVnaMjaaA8CQAAAEBA9DQAAAAA4aA8CQAAAEBAPqNWlxcxexIAAACAMwE9DQAAAEA4jM/eWnuOKEDSAAAAAISjA41poDwJAAAAQED0NAAAAADh6EADoUkaAAAAgHBQngQAAAAANnoaAAAAgHAYtUFPQ5tE0u5IGgAAAIBwUJ4EAAAAADZ6GgAAAIBw+HySWrk4m4/F3QAAAIAzF+VJAAAAAGCjpwEAAAAIRwfqaSBpAAAAAMLRgVaEpjwJAAAAQED0NAAAAABhMMYnY1o3+1Frjz9dSBoAAACAcBjT+vKiKBnTQHkSAAAAgIDoaQAAAADCYdpgIHSU9DSQNAAAAADh8Pkkq5VjEqJkTAPlSQAAAAACoqcBAAAACAflSQAAAAACMT6fTCvLk6JlylXKkwAAAAAERE8DAAAAEA7KkwAAAAAE5DOS1TGSBsqTAAAAAARETwMAAAAQDmMktXadhujoaSBpAAAAAMJgfEamleVJJkqSBsqTAAAAAATUbknDnDlzNGLECCUmJqpz587NttmzZ49Gjx6txMREpaen67e//a3q6uoCnveLL77Q+PHjlZKSos6dO2vSpEn66quv2uETAAAAAAEYX9tsYVi4cKEyMzPl8XiUk5Oj0tLSgO2fffZZZWVlyePxaODAgXr55ZdDul67JQ01NTUaN26cpkyZ0uz7Xq9Xo0ePVk1Njd59910tW7ZMTz/9tGbNmhXwvOPHj9fWrVu1du1avfTSS3rrrbd00003tcdHAAAAAFpkfKZNtlCtWrVKhYWFKi4u1qZNmzRo0CDl5eXp4MGDzbZ/9913de2112rSpEn64IMPNGbMGI0ZM0ZbtmwJ+pqWaedCqqefflq33HKLjh492mT/K6+8oiuuuEL79u1Tjx49JEmLFy/WjBkzdOjQIcXFxZ10rm3btmnAgAHasGGDsrOzJUlr1qzRj3/8Y3322Wfq1atXUDFVVFQoNTVVX+7sr5RkKrQAAAAiTcUxn7r876cqLy9XSkqK0+E00fAsOdK6SjFWbKvOVWdqtc48F9LnzMnJ0YUXXqjHHntMkuTz+ZSRkaFp06apqKjopPbXXHONKisr9dJLL/n3XXTRRRo8eLAWL14c1DUdGwi9fv16DRw40J8wSFJeXp6mTJmirVu3asiQIc0e07lzZ3/CIEm5ublyuVz697//rauuuqrZa1VXV6u6utr/ury8XJJU8VV0LNsNAADQ0TQ8p0XyQOE6Ux12eZH/HKqVZCcijcXHxys+Pv6k9jU1Ndq4caNmzpzp3+dyuZSbm6v169c3e43169ersLCwyb68vDw9//zzQcfpWNKwf//+JgmDJP/r/fv3t3hMenp6k30xMTFKS0tr8RhJmjt3ru66666T9ve9YHeIUQMAAOB0OnLkiFJTU50Oo4m4uDj17NlT/9of2riAliQlJSkjI6PJvuLiYs2ePfuktocPH5bX6232OXr79u3Nnr+l5+5Az88nCilpKCoq0rx58wK22bZtm7KyskI5bbubOXNmk+zq6NGj6tu3r/bs2RNxfwgjWUVFhTIyMrR3796I6yaMVNyz8HDfQsc9Cw/3LXTcs/Bw30JXXl6uPn36KC0tzelQTuLxeLRr1y7V1NS0yfmMMbIsq8m+5noZnBRS0nDbbbfphhtuCNimf//+QZ2rZ8+eJ43yPnDggP+9lo45cYBHXV2dvvjiixaPkVru3klNTeUvbhhSUlK4byHinoWH+xY67ll4uG+h456Fh/sWOpcrMsefejweeTye037dbt26ye12+5+bGxw4cCDgM3Qo7ZsT0v+F7t27KysrK+DW3ADm5gwfPlwfffRRkyRg7dq1SklJ0YABA1o85ujRo9q4caN/3+uvvy6fz6ecnJxQPgoAAAAQdeLi4jR06FCVlJT49/l8PpWUlGj48OHNHjN8+PAm7SX7ubul9s1pt9Rtz5492rx5s/bs2SOv16vNmzdr8+bN/jUVRo0apQEDBuj666/Xhx9+qFdffVV33nmnCgoK/L0CpaWlysrKUllZmSTp29/+ti677DJNnjxZpaWleueddzR16lT94he/CHrmJAAAACCaFRYWasmSJVq2bJm2bdumKVOmqLKyUvn5+ZKkCRMmNBkoPX36dK1Zs0YPPvigtm/frtmzZ+v999/X1KlTg75muw2EnjVrlpYtW+Z/3TAb0htvvKGRI0fK7XbrpZde0pQpUzR8+HB16tRJEydO1N133+0/pqqqSjt27FBtba1/3/LlyzV16lRdeumlcrlcGjt2rB599NGQYouPj1dxcXHE1YpFOu5b6Lhn4eG+hY57Fh7uW+i4Z+HhvoWOe9aya665RocOHdKsWbO0f/9+DR48WGvWrPEPdt6zZ0+Tsq4RI0ZoxYoVuvPOO3X77bfr3HPP1fPPP6/zzjsv6Gu2+zoNAAAAAKJbZI4sAQAAABAxSBoAAAAABETSAAAAACAgkgYAAAAAAXX4pGHnzp366U9/qm7duiklJUWXXHKJ3njjDafDigr//Oc/lZOTo4SEBHXp0kVjxoxxOqSoUF1drcGDB8uyLG3evNnpcCLa7t27NWnSJPXr108JCQk655xzVFxc3GYrcJ5JFi5cqMzMTHk8HuXk5Jy0eCaOmzt3ri688EIlJycrPT1dY8aM0Y4dO5wOK6rcf//9sixLt9xyi9OhRLyysjL98pe/VNeuXZWQkKCBAwfq/fffdzqsiOb1evX73/++ye/+e+65R8zd46wOnzRcccUVqqur0+uvv66NGzdq0KBBuuKKK7R//36nQ4tof//733X99dcrPz9fH374od555x1dd911TocVFX73u9+xrkiQtm/fLp/Pp8cff1xbt27Vww8/rMWLF+v22293OrSIsmrVKhUWFqq4uFibNm3SoEGDlJeX12TxTBz35ptvqqCgQO+9957Wrl2r2tpajRo1SpWVlU6HFhU2bNigxx9/XOeff77ToUS8L7/8UhdffLFiY2P1yiuv6L///a8efPBBdenSxenQItq8efO0aNEiPfbYY9q2bZvmzZunBx54QAsWLHA6tI7NdGCHDh0yksxbb73l31dRUWEkmbVr1zoYWWSrra01vXv3Nk8++aTToUSdl19+2WRlZZmtW7caSeaDDz5wOqSo88ADD5h+/fo5HUZEGTZsmCkoKPC/9nq9plevXmbu3LkORhU9Dh48aCSZN9980+lQIt6xY8fMueeea9auXWu+//3vm+nTpzsdUkSbMWOGueSSS5wOI+qMHj3a3HjjjU32/exnPzPjx493KCIYY0yH7mno2rWrvvWtb+mZZ55RZWWl6urq9Pjjjys9PV1Dhw51OryItWnTJpWVlcnlcmnIkCE666yzdPnll2vLli1OhxbRDhw4oMmTJ+vPf/6zEhMTnQ4napWXlystLc3pMCJGTU2NNm7cqNzcXP8+l8ul3NxcrV+/3sHIokd5ebkk8ecqCAUFBRo9enSTP29o2QsvvKDs7GyNGzdO6enpGjJkiJYsWeJ0WBFvxIgRKikp0c6dOyVJH374of71r3/p8ssvdziyjq3dVoSOBpZl6bXXXtOYMWOUnJwsl8ul9PR0rVmzhq7DAD799FNJ0uzZs/XQQw8pMzNTDz74oEaOHKmdO3fyD28zjDG64YYbdPPNNys7O1u7d+92OqSo9PHHH2vBggWaP3++06FEjMOHD8vr9fpXAW3Qo0cPbd++3aGooofP59Mtt9yiiy++OKSVUTuilStXatOmTdqwYYPToUSNTz/9VIsWLVJhYaFuv/12bdiwQb/5zW8UFxeniRMnOh1exCoqKlJFRYWysrLkdrvl9Xo1Z84cjR8/3unQOrQzsqehqKhIlmUF3LZv3y5jjAoKCpSenq63335bpaWlGjNmjK688kp9/vnnTn+M0y7Y++bz+SRJd9xxh8aOHauhQ4dq6dKlsixLzz77rMOf4vQK9p4tWLBAx44d08yZM50OOSIEe98aKysr02WXXaZx48Zp8uTJDkWOM01BQYG2bNmilStXOh1KRNu7d6+mT5+u5cuXy+PxOB1O1PD5fLrgggt03333aciQIbrppps0efJkLV682OnQItpf//pXLV++XCtWrNCmTZu0bNkyzZ8/X8uWLXM6tA7NMubMG4p+6NAhHTlyJGCb/v376+2339aoUaP05ZdfKiUlxf/eueeeq0mTJqmoqKi9Q40owd63d955Rz/84Q/19ttv65JLLvG/l5OTo9zcXM2ZM6e9Q40Ywd6zq6++Wi+++KIsy/Lv93q9crvdGj9+fIf7RRjsfYuLi5Mk7du3TyNHjtRFF12kp59+Wi7XGfl9R1hqamqUmJiov/3tb01mMJs4caKOHj2q1atXOxdchJs6dapWr16tt956S/369XM6nIj2/PPP66qrrpLb7fbv83q9sixLLpdL1dXVTd6DrW/fvvrRj36kJ5980r9v0aJFuvfee1VWVuZgZJEtIyNDRUVFKigo8O+799579Ze//IUeVAedkeVJ3bt3V/fu3U/ZrqqqSpJOegBxuVz+b9M7kmDv29ChQxUfH68dO3b4k4ba2lrt3r1bffv2be8wI0qw9+zRRx/Vvffe63+9b98+5eXladWqVcrJyWnPECNSsPdNsnsYfvCDH/h7tEgYmoqLi9PQoUNVUlLiTxp8Pp9KSko0depUZ4OLUMYYTZs2Tc8995zWrVtHwhCESy+9VB999FGTffn5+crKytKMGTNIGFpw8cUXnzSd786dOzvcv5WhqqqqOul3vdvt7pDPZpHkjEwagjV8+HB16dJFEydO1KxZs5SQkKAlS5Zo165dGj16tNPhRayUlBTdfPPNKi4uVkZGhvr27as//OEPkqRx48Y5HF1k6tOnT5PXSUlJkqRzzjlHZ599thMhRYWysjKNHDlSffv21fz583Xo0CH/ez179nQwsshSWFioiRMnKjs7W8OGDdMjjzyiyspK5efnOx1aRCooKNCKFSu0evVqJScn+6fYTk1NVUJCgsPRRabk5OSTxnx06tRJXbt2ZSxIALfeeqtGjBih++67T1dffbVKS0v1xBNP6IknnnA6tIh25ZVXas6cOerTp4++853v6IMPPtBDDz2kG2+80enQOjZH526KABs2bDCjRo0yaWlpJjk52Vx00UXm5ZdfdjqsiFdTU2Nuu+02k56ebpKTk01ubq7ZsmWL02FFjV27djHlahCWLl1qJDW7oakFCxaYPn36mLi4ODNs2DDz3nvvOR1SxGrpz9TSpUudDi2qMOVqcF588UVz3nnnmfj4eJOVlWWeeOIJp0OKeBUVFWb69OmmT58+xuPxmP79+5s77rjDVFdXOx1ah3ZGjmkAAAAA0HYoDgYAAAAQEEkDAAAAgIBIGgAAAAAERNIAAAAAICCSBgAAAAABkTQAAAAACIikAQAAAEBAJA0AAAAAAiJpAAAAABAQSQMAAACAgEgaAAAAAARE0gAAAAAgoP8Pq0Lve26BcVoAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<Figure size 1000x500 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x1 = np.linspace(-8,8,250)\n",
|
||
"x2 = np.flip(np.linspace(-10,10,250))\n",
|
||
"fun_map = np.empty((x1.size, x2.size))\n",
|
||
"for n,i in enumerate(x1):\n",
|
||
" for m,j in enumerate(x2):\n",
|
||
" fun_map[m,n] = forward([i,j], w, b)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(10,5))\n",
|
||
"plt.imshow(fun_map, extent=[x1.min(),x1.max(),x2.min(),x2.max()], vmin=0, vmax=1, aspect='auto')\n",
|
||
"plt.colorbar()\n",
|
||
"plt.scatter(*X[yhat[:,0]==0].T, label='0', alpha=0.4); \n",
|
||
"plt.scatter(*X[yhat[:,0]==1].T, label='1', alpha=0.4);\n",
|
||
"plt.legend()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "fcec77e4-e3f6-4770-beba-f656b0271c92",
|
||
"metadata": {},
|
||
"source": [
|
||
"Matome, kad rezultatai yra blogi (kartais net blogesni nei atsitiktinio spėjimo), o mokymas beveik iš karto sustoja. Be to, išmoktos funkcijos gradientas yra labai nedidelis. Tai galime suprasti kaip modelio netikrumą dėl to, ką ji turėtų išvesti."
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "Python 3 (ipykernel)",
|
||
"language": "python",
|
||
"name": "python3"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.8.16"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|