{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# TP 3 SVM\n", "On se propose de faire de la modélisation par SVM sur des problématiques de discrimination, en utilisant la bibliothèque scikit-learn.\n", "\n", "On veut : \n", "- Traiter un problème de discrimination linéairement séparable\n", "- Traiter un problème non linéairement séparable (SVM à noyaux)\n", "- Traiter le problème de la discrimination de chiffres manuscrits" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Problème linéairement séparable" ] }, { "cell_type": "code", "execution_count": 1042, "metadata": {}, "outputs": [], "source": [ "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sklearn.svm import SVC" ] }, { "cell_type": "code", "execution_count": 1043, "metadata": {}, "outputs": [], "source": [ "def genere_ex_1(n1=100, n2=50, mu1=[0,3], mu2=[3,0], sd1=0.15, sd2=0.2):\n", " X = np.concatenate((np.random.multivariate_normal(mu1, np.diagflat(sd1*np.ones(2)), n1),\n", " np.random.multivariate_normal(mu2, np.diagflat(sd2*np.ones(2)),n2)))\n", "\n", " Y = np.concatenate((np.ones((n1,1)), -1*np.ones((n2,1))))[:,0]\n", " return X,Y" ] }, { "cell_type": "code", "execution_count": 1044, "metadata": {}, "outputs": [], "source": [ "def plot_data_hyperplan(X, Y, classifier, name):\n", " w = classifier.coef_[0]\n", " b = classifier.intercept_[0]\n", " a = -w[0] / w[1]\n", " xx = np.linspace(min(X[:,0]), max(X[:,0]))\n", " yy = a * xx - b/w[1]\n", "\n", " # print(X.size)\n", "\n", " # b1 = [(X[i,0]-a*X[i,0]- b/w[1]) for i in range(0,int(X.size/2))]\n", " # b1 = min(b1)\n", "\n", " # b2 = [(X[i,1]-a*X[i,1]/w[1]) for i in range(0,int(X.size/2))]\n", " # b2 = max(b2)\n", "\n", " color = ['red' if c >= 0 else 'blue' for c in Y]\n", " plt.scatter(X[:,0], X[:,1], color=color)\n", "\n", " plt.plot(xx,yy, color='black')\n", " plt.plot(xx, yy+1, color='green')\n", " plt.plot(xx, yy-1, color='green')\n", " plt.xlabel(\"x1\")\n", " plt.ylabel(\"x2\")\n", " plt.title(\"Classe 1 (red), Classe -1 (blue)\")\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 1045, "metadata": {}, "outputs": [], "source": [ "def main(X,Y):\n", " classifier = SVC(kernel='linear', probability=True)\n", " classifier = classifier.fit(X, Y)\n", "\n", " plot_data_hyperplan(X, Y, classifier, 'Graph_SVM_linear')" ] }, { "cell_type": "code", "execution_count": 1046, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, Y = genere_ex_1() \n", "main(X, Y)\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Problème non linéairement séparable\n" ] }, { "cell_type": "code", "execution_count": 1047, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import GridSearchCV" ] }, { "cell_type": "code", "execution_count": 1048, "metadata": {}, "outputs": [], "source": [ "def genere_ex_2(n=300, mu=[0,0], std=0.25, delta=0.2):\n", " X = np.random.multivariate_normal(mu, np.diagflat(std*np.ones(2)), n)\n", " Y = np.zeros((X.shape[0]))\n", "\n", " for i in range(X.shape[0]):\n", " x = X[i,0]\n", " y = X[i,1]\n", " if y < x*(x-1)*(x+1):\n", " Y[i] = -1\n", " X[i,1] = X[i,1] - delta\n", " else:\n", " Y[i] = 1\n", " X[i,1] = X[i,1] + delta\n", " return X,Y" ] }, { "cell_type": "code", "execution_count": 1049, "metadata": {}, "outputs": [], "source": [ "\n", "\n", "def plot(X,Y,classifier, nameFig):\n", " minx1 = min(X[:,0])\n", " maxx1 = max(X[:,0])\n", " minx2 = min(X[:,1])\n", " maxx2 = max(X[:,1])\n", "\n", " xx = np.linspace(minx1, maxx1, 100)\n", " yy = np.linspace(minx2, maxx2, 100).T\n", " xx, yy = np.meshgrid(xx,yy)\n", " Xfull = np.c_[xx.ravel(), yy.ravel()]\n", "\n", " probas = classifier.predict_proba(Xfull)\n", " Z = classifier.decision_function(Xfull)\n", "\n", " k = 1\n", " plt.title(\"Class %d\" %k)\n", " imshow_handle = plt.imshow(probas[:, k].reshape((100,100)), extent=(minx1, maxx1, minx2, maxx2), origin='lower')\n", " \n", " classPos = Y>=0\n", " classNeg = Y<0\n", "\n", " plt.contour(xx, yy, Z.reshape((100,100)), [-1,0,1], colors=['blue', 'black', 'red'])\n", " plt.scatter(X[classPos, 0], X[classPos, 1], marker='o', c='r', edgecolors='k')\n", " plt.scatter(X[classNeg, 0], X[classNeg, 1], marker='o', c='b', edgecolors='k')\n", "\n", " ax = plt.axes([0.8, 0.15, 0.05, 0.7])\n", "\n", " plt.title('Probability')\n", " plt.colorbar(imshow_handle, cax=ax, orientation='vertical')\n", " \n", " plt.savefig(nameFig+'.jpg', dpi=300)\n", " plt.show()\n", " plt.close()" ] }, { "cell_type": "code", "execution_count": 1053, "metadata": {}, "outputs": [], "source": [ "def main(X,Y,nameFig = 'GridSearchCV'):\n", " parameters = {'kernel':('poly', 'poly'), 'C':[0.1,0.5, 1, 10], 'degree':[3,5], 'coef0':[0, 0.1, 0.5, 1, 10]}\n", " svc = SVC(probability=True)\n", " classifier = GridSearchCV(svc, parameters)\n", " classifier = classifier.fit(X,Y)\n", " print(classifier.best_params_)\n", "\n", " plot(X,Y, classifier=classifier, nameFig=nameFig)" ] }, { "cell_type": "code", "execution_count": 1055, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'C': 0.5, 'coef0': 0.5, 'degree': 3, 'kernel': 'poly'}\n" ] }, { "data": { "image/png": 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ee4358+fzwgsv8MQTTzB48GBuv/12rrzyylbjjznmGCZOnMiNN97Ijh07OPTQQ3nyyScZMWJEaMw999yDLMs888wzuN1ujjrqKN59912mTp0acw733XcfzzzzDPPnz8fn83HWWWfxf//3fx2SEXLXXXdxwQUXhMoonnvuuRECdubMmeTl5aGqaodFLPe5bjpNTU3k5ORQ//P+hg/WwMCg0/FpYS2+RhFpMun/dZE3t5GqEZksf3EUADd/Mh1NVdl1yU1oLjejj7qMzJz+pH+2DU2TWFVzJ4pmZ6L5KjIlIYQ1v7/V9VLFr/lYzXIaGxvJzs5u/xvcR/D7/fTr14+ZM2fy2GOPdcg5DQ3WIC6KohkaioFBO7Ct9QCw+8jciP3+8mo0lxuTbCEjqzS036kUoWh2THjJYHdXTtUgwLJly6iurmb27Nkddk5DwBrE5JUVLVw1r5ptOh/b4DKZ228qMnxsBgaJ0DSsHwv/a/mEnIiXPJt3ApCZsx+SSQ7tb/IPBCDbvAtJ6lNGxR7P+vXr+eabb7jpppsYPXo0xxxzTIed27ChGrTilRUtnD6ngsPLlYgo0cMrFE6fU8ErK1q6eYYGBj0X82YFc7mKZoOKsZGmWc8vwr+anRuZ8tLkF8Vxsiw7u2aSBiEefPBBLr74YoqLi/nPf/7Toec2BKxBBIqicdW8amZosAw4EsgM/L9MgxnA1fNrUBRjlW2w76JoamjzaUpoa9YktI+E9uocZ+VH+vOzu5Sf3aWYK614f9oBQIF1P6wNXqwNXvB5QwFO2dJWNFULbQYdw4cffsjMmTPp168fkiRF9IV98skn8fv9fPbZZ6EmBQCrV69mzJgx2Gw2DjzwQJ588sk2X9cQsAYRfLTexbZyhetp/eUwAddpsHWPn4/Wu2IcbWBgkPGx8L86jrZF7FecTnzVVQBkZ4XLFGoaNCsBDVY2NNjOwOFwMHLkSO6///6Uxm/dupXp06dz7LHH8tVXX3HFFVdw/vnn89Zbb7XpuoYP1iCC8krhcx0e5/XhUeMMDAx0KBrp6wIa7NGRjcE9O4R52FJYiNUSzo11a3n4tEwk/GTKRoBTZ3DyySe3qVjFQw89xJAhQ0IVqIYNG8aaNWu4++6746YYxcIQsAYRlJWIwIvvEGbhaL6LGmdgYBDG/p0PuUlDyZZwD7eArp69OyBgbQMHRxzTHPC/ZsgVyJKf3rJ0dbvdeL3e5AM7CU3TWuXH2mw2bDZbnCNSZ926da06Ek2dOpUrrriiTecxBKxBBJMnpDG4TGZxnFqzSwK1ZidPSIt3CgODfQqfTiRKa0QB+4YJadSRxsamkvC4Td8AkJk/CHOFO7S/2Se61WRJO9B8ftB6ThH8eLjdboYMyqSiqvuWA5mZmbS0RAZcLliwgIULF+71uSsqKigpKYnYV1JSQlNTEy6XK6INXyI6VcB++OGH3H777Xz++eeUl5fz6quvMmvWrLjjV69eHVHoOUh5eTmlpaUxjjDoaIK1Zk+fU8EsSfhchyM01yWBWrMv7sO1Zg0MEpG9VgjOxon2iP2aquGqEAFOaf0GQUX4tWZFpOhkmXZ0zSQ7AK/XS0WVwtbPB3VLQZ+mZpUhY7ezc+fOiCIaHaG9diSdKmCDjuU///nPnHbaaSkft3HjxogPrbi4uDOmZxAHo9asgUE78GpkfyYEbNPESA2nZWcDqseNZLZgLyoDGkKvNauBEomm3hfglJ3VvV3LsrOzO6VKVWlpKZWVlRH7Kisryc7OTll7hU4WsG11LAcpLi4mNze34ydkkDJGrVkDg7Yhf+1Fdmn4Ckw4D7ZEvNbwg7hZ20siC0z4VQtOTZgiM3uRBhtEpCp1z3U7k4kTJ7Jy5cqIfe+88w4TJ05s03l6pA921KhReDwehg8fzsKFCznqqKPijvV4PHg8ntDzpqamrpjiPoEsS0yZtG80zTYwaAuqrjerJ3Czz/hYaK+VR2RRoeWCAtsb8gDY/VUDAFm5A0mr0ZCcYqzDXQSYsNKIVa3vDe7XCFS0iM+iK6/bFlpaWti0aVPo+datW/nqq6/Iz89n4MCBXHfddezevTtUaOKiiy7ivvvu4+qrr+bPf/4z7733Hi+++CIrVqxo03V7VB5sWVkZDz30EC+//DIvv/wyAwYMYMqUKRE9B6NZsmQJOTk5oW3AgAFdOGMDAwMDgfUTEVFbM6G1C8X5yx4AMgoj708t3jKgd2qvAGo3/msLn332GaNHj2b06NEAzJ07l9GjRzN//nxAxPns2BH+GwwZMoQVK1bwzjvvMHLkSO68807+9a9/tSlFB3qYBjt06FCGDh0aej5p0iQ2b97M3XffzVNPPRXzmOuuu465c+eGnjc1NRlC1sDAoGvxalg+E43CowWs6vPj3iZMxBlFAyNea/aK4M1g9xyDzmHKlCmtGr/riVWlacqUKXz55Zd7dd0eJWBjMX78eNasWRP39Y7KezIwMDBIhN7vp29R51A17F96Mbk0nHkWvhm4H3hFrEJDXQaeLTvR/CpmazrZ/hykBgXcwq3V7A74X9kJwdKIvaiDqKJpKN0w3+64Znvo8QL2q6++oqysrLunYWBgYBCXtLXCPLzriDwwRQYCereJ6kyZeQNaFUZo8QdMxFLviyCG3uOD7S46VcC21bG8dOlShgwZwmGHHYbb7eZf//oX7733Hm+//XZnTtPAwMBgr0gLlEfcOSGv1WverQEBm9s/cr+SgVcVKSYZUu8skaiioRgCNi6dKmA/++yziMIRQV/pueeey5NPPtnKsez1ernyyivZvXs36enpjBgxgnfffTdm8QkDAwODnoDk1rB9HhCw4/Nbve7dGugBmxcZG9Ls7wdAGlWYJU+r4wx6P50qYNvqWL766qu5+uqrO3NKBgYGBnuNPopV+VLF5AFfkYkv+g0Ed9gMLO3W8O0WHXTyTWVYG/wAaD5f2P8q7egV5RFjYZiIE9PjfbAGBgYGPZnM9UL7bDnSBlE+Vs+uXaBpyDk52GyRFYdaFKHBZkq9M0UHjCCnZBgC1sDAwGAvyPwkIGAntM5m8O4S6Te2AQNbvdbiDwrY3puiowa27rhub6BHFZowMDAw6FV4NDI+12mw0S/vFNqpbcB+Efs1Ta/B9s4IYoPkGBqsgYGBQQro/X7uQB6s5WsvJg94C2TKh2SzbXdBxDHe7UI7zcwdiHlTuHeq25eFX0tDwk+augdN6h0mz2iUbooi7o5rtgdDwBoYGBi0E8t6ITQbjkhr5X/1tXjw1dcAosg/m3TFKQLaa7qpEpPUW1qst0bR6KZi/11/zfZgCFgDAwODdhIhYKNo/LlajMnJR07PAMKNSELmYbm89zgUY2D4YBNjCFgDAwODOOjLI+pTc9yaUN0KPxMCdsvYQhqUdHY25YTGVH3zIwDpBftha9AwOcK5ri0+UYM4g94b4ASgIqHQ9S0s1W64ZnswgpwMDAwM2oHlJz+mZg1fhonGQ1prsM5NFQCkFfVv9ZpDFRpshqm8cydp0K0YGqyBgYFBO7BtCLSnG5OJJrfWqFxbggI2RgSxGmxTt6eTZ9m5qFq4R0FXX7c3YAhYAwMDg3ZgD/R/rT6idf9XxeXFs7sOgLTC6BrEmfjJBFTSTRWdPs/OROkmE3F3XLM9GALWwMDAIAX0LeqcKljXi/6vP4zpxx5fLgANjRkAuDfWgAaWtGwyfZnQqCG5hUB2usTYNKkaWXWj9tIyiWAI2GQYPlgDAwODNmLd5Mdcq6LaoGJ4dqvXvduFbzU9r7X/tcVXDECGZPhf+zqGBmtgsA+iKBofrXexu9xPda1CUYFM/zIzkyekIcfwJxpEkrZBaK+usVZUa2s9JShgM/L6tXrN4Q0I2F7ufwVQNQlV64Yo4m64ZnswBKyBwT7GKytauGpeNdvKFcyAX/fa4DKZ228q4rTprf2KBmHSAwFOriOsMV/37ghosPkxBKyvCIAMqXf7X8EwESfDELAGBjEIanjllQplJXKf0exeWdHC6XMqGKvBduBk4HpgOPAdcEu5wulzKnjx0VJDyBJZHtGn85VmBgRs7RHp7HSHe8BqDVY0RcG7oxKAHEsZ1qbAcV6h9Tq8QsCmSXsStvPsDSiYULrB09hbal8ZAtbAIAq9hhekt2l2sRYIAFfNq2a6JoTpDGAZ4UCMI4HlwCzg6vk1nHpSRp9YVHQ0pj0Ktt0Kmgwto60Q1SvdV1EJfj+S3Y49PbIBu6rJuBSxz/DB9n0MAWtgoCOo4c3Q4DnCmt3iit6j2cVbIPzpj9lsK1e4CngD8f6idQ8TcJ0Gk/b4+Wi9iymT0rtu4r0E8wYhUZ2HWVEzTK0ErHen8K1a9+uHJEV+wk5/IWBCxoWVxq6YbqeidZMPVjN8sAYGvQtF0bhqXjUztNaa3TINZkk9X7NLtEC48fZ6AII1h4bHOUdwf3llbzHEdRxKVMqMvjyiL2Autn8aKDAxNoMGNY2drrzQGEuDCf9mIWDtxf2xtIQ93JrXR4tHdNtJl8qRNI1e0hQmLoYPNjFGmo6BQYCP1rvYVq5wPfE1u60Bza4nEr1AOBLIJLxAmI5YUbcExn8X5zzB/WUlcmdOt9diDfhfG8a2Lo8I4CkXAtZWFiPAyR9M0en9AU4Aimbqtq030DtmaWDQBQQ1tt6q2SVbIFyPiBh+FhgMLKZ1VxIVWCLBkH7mkN/WIIzUrGL+SWilDeNafz6apuENCdj9Wr3uVEoASJd6f4qOQXIMAWtgECCosfVWzS7VBcInQCHCDzsLWAc0B/4/NbD/tkWFPdYM3p1YvvAhaeAcYMFb3NrD5m+oR3W7QJaxFhW3et2hBDRY+kaAk4qEiqkbtt7x3TQErIFBgMkT0hhcJrNY6p2aXaoLhIX/yKOmTEYD/gdMArID/3/fz9wrArm6CkXTQptb0zB9JiKaqkZnUatkUqtkUuHIDm3qFiE4bQUl2JwWzA5faENVcAZMxOnSHtDUwKZFbr2IoA+2O7begBHkZGAQQJYlbr+piNPnVDBLEj7XYJDQEklodi/2YM0utECoUFimRa6eQwuEMjPXX5HP9VfkG5Wc2oHtM5HLWjMm9gLEXRUIcCpq7X/1qel4NVFWMb2PaLDd5Q9VeslCxBCwBgY6TpueyYuPlnLVvGom6dJchpSZeXFRYY/W7Nq6QDBScNqIX8P2uRCw1ePiCNhqITjtxTECnALmYZupAbPkafW6Qd/DELAGBlGcNj2TU0/K6JWVnHrzAqGnY/3Bj8mpoeRINB5kjznGUx0IcCoqa/WaMyBg002VnTfJLkb4YLuhFrFhIjYw6L3IstRrNbzevEDobtSoxFSfriifFCjw7xxrpVLJC9Xrq20R3xPV48NbVwNAZloZliYNyeULHe8M1CBOlyrRekvH8CSo3VQqMfrv1FMxBKyBQR+kNy8QeirpgQITznGxC/x7dlQBGua0TCzpWa1ed6oBDVauah1F10sxfLCJMQSsgYGBQTI0jfTPUxGwYM9vbR6GsIDN6FMmYpE20/XXNQRsn6WvdloxMDCIjWmXgqVSRTODa4Qlpgbq2S4Epz2/NOY5QhpsHxKwBokxBGwb6QudVgwMDMLo6w+rUZIz2KLOFijw7zjMisNupbIxOzTG2SQCnlxbawHIzCjF2iw0LCnQos6npOHTxP3BrvWNMokAiiahdEPh/e64ZnswCk20gWAh9cPLlYjqN4cHOq28sqIlyRkMDAx6I5aAebhlrC3uGO8uoZmm5caIIPaKIv82qR6z5O2EGXYPwX6w3bH1BgwNNkX6QqcVAwOD9pFMwCotDtTGZgDSckpave70iR6waVJVJ82we1A1E2o3BDmpRpBT3yJYSN3ooWlg0HeJjk71aRqSQ8X8gyjwv2dUNh7VQrk7JzRGarLg/0Wk59jS80nzWsArTMtBE7HLnQtAuqkqUBKxj4QRGyTEELAp0ts7rRgYGLQPy9c+JBVcZWY8ZZaYY7x7RAWnjOw4AU6+QqDvabDdZa5VjCjivoW+kPqRMV7v6Z1WDAwM2of1C6GFNo6J3+TBt0cELqXnxEnR8QsTcbqpbwlYle4JOOot+r8hYFMk1ULqPbXTSndgpDMZ9AWsgfrDjaNil0eEsAabnt3a/wrg8okgpzSpuoNn1710Xx6sEeTUp+jtnVa6GiOdyaC3oC9aEJ2m41Y1rF8KAbtrZB4NSgYAle5wpSZzo4avXGiw2dYSzE7dOXx+VE3GrQifbRqVoPYW/ctgb+kdy4AeQrCQ+relckQPze/KjB6aeox0JoO+gmWrglyrotqg4dDYwYv+hno0rxdkmbT0wlavu/z5gAkTHqw0dfKMu5ZgqcTu2HoDhgbbRoxC6okx0pkM+hL2QHqOZ4QF1Rb7pu6tFNqrtagYk6l1DIZTEebhdKkKqY995Y1uOokxBGw7MAqpx6enpTMZfmCDvcH+qTAPu8fGrj8M4KkKCNiS2BHELn/f9L9Cdxb7NzRYg32QnpTO1JV+YEOQ9y6UOHmo0ekfaYEAp+ZxNmqV8HemxpkReuzfLQRsWl4ZstMfcbzm9+P05QFgl6rRekmBBIOOoXcsAwzahKJorF7r5LlXm1m91omidN2PWp/OFIuuSmfqSj/wKytaOPiIbRz/2z388a+VHP/bPRx8xDbD19zLkRpU7L8IgekcEzv/FcBTHdBgC5NpsH0rRQeMUonJ6B2zNEiZ7r7Zh9KZpNa5aqF0pn6dm84U7Qc+Esgk7AeegfADd8TCwwjo6rvIXwb8r4NllILYC0JNUfHWCsFpK4ojYJVgkYm+ZyJWNanbtt6AIWD7ED3hZh9MZ3oDEdCkn8esQDrTbZ2czhT0A19PfD/w1oAfeG/oCkHendaIfQVV98+nhTfTZ6KDTvMYG07NTI0vK7Q1OtJodKRRs8WFpviRzBbSzfnIbn/EhqKEg5y0SlA1sfUR1G7SXntLHmynzvLDDz9k5syZ9OvXD0mSWLZsWdJjVq9ezZgxY7DZbBx44IE8+eSTnTnFPkNXam3J6O50pq7yA3e0II8Wpi+93twjTM/7qpAPFfgfnaiDjtBKbXklSFLr26lPTcOvCX9tX9RgDRLTqUFODoeDkSNH8uc//5nTTjst6fitW7cyffp0LrroIp555hlWrVrF+eefT1lZGVOnTu3MqfZ6elr0bnemM3VVWcuOFOSxArJALIyeI1zUZHGFwunnV3DZnBxOOSmj0z/TfbZgiKJhDhSYSNSizrNTCE17QWLzsFVqQpY8HTzJ7qf7uun0Dg22UwXsySefzMknn5zy+IceeoghQ4Zw5513AjBs2DDWrFnD3XffHVfAejwePJ7wF7epqW8lcqdKZ2htexsZ213pTF1V1rKjBHnQtD9DE8J0GHAoMAZYTutc4lOA+x9t5J5HGztV2EXPK0LIz6no08VV5F/8mFo0lHQJ18HxA5y8OwP+1/zYJRKdasD/Ktd0/CR7AAoSSjfkpHbHNdtDj1oGrFu3jhNOOCFi39SpU1m3bl3cY5YsWUJOTk5oGzBgQGdPs0fS0dG73R0stTd0lR+4IwK6Ypn2vwT2ADcQ2xpxA+AH7qfz/Os9yeXQUSiaGtpUtNCmaOHNF9hMAfNw00g7DtmGQ7NS68sIbe4Wq9h2CMGZkV6MxaEhef0RmyvYB9ZULVrUBbc+QlCD7Y6tN9CjZllRUUFJSeRKsKSkhKamJlyu2H6s6667jsbGxtC2c+fOrphqj6M9N/t4vrWeECylpz0+wK7wA3eEII/lxy0P/J/MGpFH5wm7rgoU66kEO+g0jY5f4F9TVfzlARNxXhwTcUCDTTfVdvAMewYKYS22a7feQa8vNGGz2bDZ4vtI9hXa2owgnm/t1hsLuWZBTY8pdbg3PsCu8AMHBflV86qZpJvjkDIzLy4qTDrHWKb9YMOzpKZnOs+/3pMKhnQHwQL/TQk66Phr6tF8fiTZjC0zP+aYoIBNM9XQa6SCQYfRozTY0tJSKisrI/ZVVlaSnZ1NWprRBi4ZqWptiTTUMy+o7DGaS0do0rIsMXlCGmUlMuWVCh+td3W4WfO06Zn8/OlgVr3cj6cfKGHVy/3YuGFQSlpyLNP+ZGAwsJg41ghgSGAchIXda2862v0eUpmXnr7c/1hqVjEHCkw0jYq/ePfvEf5Xe04Rkin2rTSUAyv3TQ3WMBEnpkfNcuLEiaxatSpi3zvvvMPEiRO7aUa9j2Q3+2S+tekIs8awOOfvKs2lo3yAXeVLDgZ0nfWbLKZMSk9ZS45l2peBOxFWh1OJMj0H9t8RGAdhYffCK80dtnjoCQVDugp9HqxbA77wIWngGyBTnZ9Ng5JOg5JOpSc7tEkOM75twv+allmCxalhcWpIHn9ow+3HpQaqOGmRigOaFt56Mb2pm87999/P4MGDsdvtTJgwgQ0bNiQcv3TpUoYOHUpaWhoDBgzg73//O263u03X7FQB29LSwldffcVXX30FiDScr776ih07dgDCfzp79uzQ+IsuuogtW7Zw9dVX89NPP/HAAw/w4osv8ve//70zp9nnSHSzT+Zbux4RQPNMnHN3lebSET7AnuZLjkU8P24ZMBZ4EyKtEcBLQDDpLajR9gcqatUOsyz0hIIh3YX9MxHg5B4XP3oYwLdHlEhMz4kdQexVMlGxAip2U12HzrGnoAW66XT1prUxiviFF15g7ty5LFiwgC+++IKRI0cydepUqqpil6989tlnufbaa1mwYAE//vgjjz32GC+88ALXX399m67bqQL2s88+Y/To0YwePRqAuXPnMnr0aObPnw9AeXl5SNgCDBkyhBUrVvDOO+8wcuRI7rzzTv71r38ZObAdSKq+tccIay4KsBohdK9E+EA7W3PZWx9gb4qCjWfar+1n5ulHhBXipGPF530YQvhGa7S3Bs7VkZaF7i4Y0l3YAwX+3ePid9AB8JULrTQtJ06AU6jIfz0myXDAdid33XUXc+bM4bzzzuPQQw/loYceIj09nccffzzm+LVr13LUUUdx9tlnM3jwYE488UTOOuuspFpvNJ0a5DRlypSE3SNiVWmaMmUKX375ZSfOat8m1dzNLxCaykQNHga268aUuDWWv+no1BtsvHkqwEfAB4HnxYWx14g9rfBGMlIJyHrzfRdfIIRckCEIjTYYGNXRloW+2v9Y1Rm+fbq0GbdfwhYIcGocY6NBCX83atzhDjqmJvBVCO0ny16M2SXOIfnC3XTcrmwA7FINmqKg9aESiUG6u11ddN2DWEGvXq+Xzz//nOuuuy60z2QyccIJJ8RNAZ00aRJPP/00GzZsYPz48WzZsoWVK1dyzjnntGmevT6KuK/R2W3PUi3CsGRhAX+7uprXG1RmAM+jKzTQoHZ6oYFY83wFoUFv04274PKqmBHFvTEKNlFhjuDnMbxc4SmgEiFUJwMSYjHUEcUz2jqvvoZtox+5RUPJlPAMNYMv9jh/fR2az4dkNmPPKIg5xuUP5sD2zQAnCBf7747rAq3qHixYsICFCxdG7KupqUFRlJgpoD/99FPM85999tnU1NRw9NFHo2kafr+fiy66qGeZiA3aRlcE5KTqWzttWiYZaRIzENWEutrEGj3PJcDvgMMhJX9qX4uCDX4eKyRYKoko47HABjreJ7qv1h4GSA8UmHCNskCCz9IbyHawFBXHrEEM4PILE3FfrkHc3e3qdu7cGVEHQa+l7g2rV69m8eLFPPDAA3zxxRe88sorrFixgptuuqlN5zEEbA+hKwNyUvGtBU2s8aoJdUW6TnCe35SYmI+IcF5GasK+L0bBdoVPtDdX8OoI0r8QAtY5Non/tUoIWGtJ7AAnCPtg00x9s0xiTyA7Oztii1UTobCwEFmWY6aAlpbG9p/PmzePc845h/PPP5/DDz+c3/zmNyxevJglS5agqqlX4jJMxD2A6ICcrijukMy31lNMrKdNzyQ328SvT9+TUNhH+1ODGt/vz6/gaGAqcARCKN0Wo/BGb6EzfaJ9rfawElWSUEXTvRZ+7NPtz/g86H+149FkGpWw37XBHV6M+XeLm7U9rzTkfxUnC/tgw0FONb0+HSce3W0iTgWr1crYsWNZtWoVs2bNEserKqtWreLSSy+NeYzT6cQUldssy8LalSiuKBpDwPYAuisgJ5FvrTM70rTVz1xZ035hX5JnYl29SjCUwQzk55p48fbiXiUs9HSGT7Q7Fnk9DVONgn27EJDOBAUmADzVIkXHWlQCja1f1zRwKUETcd/VYNVu6s3a1mvOnTuXc889l3HjxjF+/HiWLl2Kw+HgvPPOA2D27Nn079+fJUuWADBz5kzuuusuRo8ezYQJE9i0aRPz5s1j5syZIUGbCoaA7QH0FG1RT2d1pGlP6cP2CHu9NnY9YW3sFmBFQ98ptt5R9Lao687AEtBeXQebUXLi38A1VcNbE+iiU1QaU8B61UxULZADK/XdICdFk1C6QYNt6zXPOOMMqqurmT9/PhUVFYwaNYo333wzFPi0Y8eOCI31n//8J5Ik8c9//pPdu3dTVFTEzJkzueWWW9p0XcMH2wPoiQE5nVFooL1+5rb6UxPlwC6nZ+XA9hR64iKvqwk2WHeMSay9eqsa0XxeJFnGkhc7gtgdCHCySQ1GDmwP4dJLL2X79u14PB7Wr1/PhAkTQq+tXr06Im3UbDazYMECNm3ahMvlYseOHdx///3k5ua26ZqGgO0B9NSAnI4Mqtmbwg9tFfb7eieYVNFHC1dWC9NoT1rkdSb68oheTcOraZgDFZzqxqTj0Cw4NAs1/szQ1uS00+S0U/uLyL205hVj9sjILiW04feD34/LmwMEzMOqKrY+SNAH2x1bb8AwEfcA2toJpytJJagmFZ/q3pog29K1xtDGkhPLVG8zwd9UWE/nNanvsfg0rN8EOugk02B3irQbW0GCCGJFaLb2Pux/BdC6qfC+1kuK/RsCtoewt23POpNEQTWp+lQ7QuilGkHbmQFaHUVnFxRJRLxo4VtUsZibAPwfPWeR1xVYf/BjcoMvx4RrSOIaxJ5dKQjYYJGJPi5gg/1Zu+O6vQFDwPYgeltZurakdZQUpib0guPikUoEbWcFaHUUe9Pjdm9JFC28HNG95x0TTNJZNHvCIq+zsQbyX5tH28CU+PfmDQrYwkQarC5Fx2CfxRCwPYzeUpYuWVrHqcClV1WRky3ej4aGGRHFu5zWQm8x4suosfeBRz3Z5N7duabJTPXXA2+ocOeNBZQUmXv8Iq8t6OsPK7rvmU8D6wZhHq4ek0WzGl541XrDfwu304qmaXh2CqGZnl6K2QkmTzj3VQv4Wl2K0GDt1ITzJrW+54dVtbblpHbkdXsDvcOQbdDlJCuXl0rbu8p6lRNPL+fgI7ax4h0nfmAFogNMdI/TFYg2eVU1HXMT6omdYHpCh59UTfVFBXKnNqnvUWga9g1Cg60fl3hxq9Q3obk9IJmw5hbGO11YwPZxDdZouJ4YQ4M1aEUqJsxUb9Q3Ap9VKNzzqEgWXIzozhPdEeYWhFDW+0X31k/Z00zuPSHXNFX/9FXza6isCy92usqE3R2YdyiYq1Q0CzSMTOw28O0O5L/mFmKSY98+fVoGiibO05frEAOh/qzdcd3eQO9YBhh0CYqicdNdtZx+fgXDk+Sqppq7+yuEdjYWsABrgJ+B94FnA/9vBNZFpSJ1VE3cRM3nu5qeEN2cLCUsaKo/ok7tsU3qE6FoamhT0SI2RQtvPk0NbfIGYeJ1HW6hzpJJg5Ie2mq8GaFNc5jxbhUaaVpWCRanhsWpYfIqoQ1FweXNBcBqakTWvEE7and9JJ1KsNBEd2y9AUPAGgBCoB00bis3317PdJJ30Emau4vQTCcjzKFfACOAlcBvARvifDbgNIRf9P8tLOCj9S7mzq/m9PO7pvFBV9ITCoqkklM8iu7poNRdZHwaKPB/ROIC/wD+QA9Ye25x3DEuVZiO040i//s8hoA1CAXe9KtQ8UNKHXQS3qgRN+o7Asdeibg5b0A0B/8WIvyi75rg7xfmcM2CGo7/7R7ufbSRUcAViAL9feUm31MKisTzT3+eL/7q97JvFehIDwhYx/jE+a8Avj2iyH9abuwuLBDOgU2T+26JxCCGDzYxvWOWBp2GPvDmksC+VE2YcQOJEIL0NOAjRIP0YDDUacAmwibi+wC3Cnc91EhhuUIhQth8CRwPHIhotA69/ybfGeUn28tp0zP5+dPBrHq5H08/UMKql/vx/24Umte+VKBDqlWwbQ6YiMcl1mA1TcO7RxT5T8srizvOpYjPMU3u+xqsSjdVcjJ8sAa9AX00cP/AvraYMIM36nde7EdhrsREhE/1tMDr5YH/9TdtGZgCnAXMDuwbAnyO0FQjzMKIRuuvRJ2nt97ke1J0c7R/un+ZCNrpq+US1Yh/YiFn/jRc4N+ZY4nwvzYo6dS7wxt7mtFcbjCZyLAWYnZpmF0aktcf2lDUsAZL3xewWiDIqas3rZcIWCOKeB9HH3iTBgxGBLosI/UCDbIscdzkdB68o4TT51TwW8K5p3WBMcmiVpsR5l/9dY8MPJ8F/AORW9vbb/LQ86Kbg/T0Ah2dgTWQntMyLrl52FsulouWoqK4EcQQpcH64w4z2AcwNNh9HH3gjQzciTBVziJSkzyV5CbMWNrZpYgat7cQP2rVBNRA/OL8wFbgA7qv8UFH05Oim/Vz6ikm7K7Csj4gYFPwv3orAj1gy+KbhzVNwqUGNNh9IMjJKPafGEOD3ceJ1lpOQ/hPryQqV7WfzIuLkudBxtLOamoVzrywklm0rqq0QiNUUyeZ7+8qhG+2t9fE7c46xMnoyTWxOxrJqWL5TpiIHSlosL5yIWAtpfEDnDxaNioWQMVuqu+QefZkuivgqLcEORkCdh8nVlnBXwNPAVcjtJeF/8jj+ivyUxYCsco9vmiSWt20S3JNaPUqdsBNcjPyngITL95a3Ktv8t1ZhzhVOtKE3RWLCSVOCUI1ymaiL4/o1TRsn3uRFHD3k6nvnwYaNCqR39t6d9hS4gsFOJVidunO7QvbgV2+YAWnOkyqF7UPlkfU013apKHBGvQa4mot/cz8t4O0luibdkmhzPmXVTAT+APwRxLXKe5XYGLzF4OxWk09WgNMRHfXIW4LHVETu6cvJmyBAKemI5K7GzRFxVstUnSsJWUiND4GwRzYfcE8bJAcQ8AaAF0TeKO/aa9e62R7hcrzCK31c+B24BREHm5I+AArJHhuSRFrP3Pz2psOnn+5udeV8UvWHGGWJPJ7Tz0po1csFpLRGxYT9k+E/7VpnD3pWE95PZrfj2SxYMnLh22x87DDRSb6donEIEapxMQYAnYfI545DQATTJ6ov9mIsnLtQZYS+0iiywbeBoxD5OLqfb8luSZ+f0wal11dTVVDeO79AsccQM+6acejJ9Qh7iq6czGh6szA0d9dVffc69Kwfi4E7O7xuThU4YOt8UV+f1pcYn/zzw0A2ApLMXtkzC5vaIykMxE71SIA0kzV4S46fRjDRJyY3uEpNuj1RHfnKS4UX72gf/UV4BqIyBw0Ac0ulReXOxjfEFkbdyxwDrCH3lHhqSfUIe4qknVa6gnFQuxfejF5wF9kwnFA8hKJnh3CPGwrih9BDHoT8T6iwRpRxAkxNFiDTieeL64o18TiRpXZGpyOEJJ6c+JNwNsesV/vm42VH9vTNcBUu9j05vzeIL1hMZG2VmigrolWkJLfrD3bA110ipMJ2IAG28fb1BmkhqHBGnQqQV9crML9NQ0qr2twHuEiE/oC81dC4trIiPzYj+gZN+1E9JQ6xKmQrBdwMnpCU4NkpAcErHNScu0VUtNgVU3GreUBkGaq2ssZ9g4MDTYxhgbbi9H7UxVFY816dyhA6egJ9qT+Lb2/qj2YEgQaKJqaki9uTYZEfYsW05xYGfg/mSa0ivAXuaxETjnKuCujkWOlQ+nzgd+gZ+T3dkTkb0+tCOULfN8lp4rtKxFB3DApjSY1HHdQ582IOMbtsKJ6vPgqRE5rRkYZFgfIHt1Czi8eixQdEzJurFojqKDp29T1QZ+s4YNNjCFg+wCvrnRwzbyaVjfFW28q5DfTMhIcGSYooCsqFUpTFNDJWLPeHTOwR0FonWM1eL1F3HRiCdGgrpDMrHozsBQozjNRU6tw8BHbkgqI7kgh6elFHPY28le/YPnTH7O58Y76HrmYsHzqw+QDbz8Z70AZfInH+3ZXgaYhp2ViyciKO87pD1Zwqk7F6twn0OieiN7eslQxTMS9nFdXOjhzTmVME+yZcyp5daUj6TmWrXRw6PidTP1dBedeUs3U31Vw6PidLEvh2ETE8sW9guiQcyywULc/ljlxMiJa+Gbil1kcjGjifgxQVa9y5gWxPwt9H9lEZuuO6jcbz8waq4vNxg2Dul24Rlsb2toL9pUVLRx8xDaO/+0e/vjXShbeXk9hjokNuaZub2oQjfVjDwAtR9lS8r/6dooCE/bCJP7XoICV9o0AJ4PkGAK2F6MoGtfMq0l4U7w2SWTtspUOzppTxYhoYVOucNb5VbzyRvuFTbQv7hVEZ5zDEULxdeBcwILo/RqtSEgIAbuC1rWRZwX23wkcBbwaeO/TSSwgvF51rwRJKkQLm+N/u4eDj9gWEtzBfODTTxFC5sXXWtrl6+xI9ibyN96C5chGlcp6lYX/yOtRiwnrx4H+r5OSl0cE8O4Szgp7Yb+E45z+YA7svuF/BcMHmwzDRNwDSZirquPDlHIrFT5Y7+RXk1on0wsBXRvTR7ocUfThvIuqUR/SOG1Ga1OzfpaKovHxek/IxDx5QhqTJtgYFPDFvayFG6/PBn4D1BNuNrIeyAHmIRoEfI2oPfwZoi/s10TVRibccxbgY6CFxM3iJ+3x88CTjSnno06ekBbho500zs7az9wJfbapmll7WpWj9kb+puJn//ezzWzcMKhDTcKplEf0ETlXr6YhNapYvhVLudqJafg0mQYl/N2u9UR+zzWnGe82IWAzsksxu8QiyOTStcnxi8fOQJnENCpB6ZnBdh2N4YNNjCFgezEVKd4UK+JE1n683sP2coXniS1sbgBWqPDHC2p49l8Ss6bFTn9ZttLJdfPq2K4TFoPKZG69qYBbbyrgrDlVHIOoLnch8HuEdjoD0UEnKIRuDjy/HvHFDN7CViE6/QRZCZwYtS9W31k9wf2bt/lSGvfamw7+cmllhAC0mcCju69HC8RUCyyoqsaZF1a2ydfZUQFZ8c7T3jSi3lZAw77Oi6SCa38zvtLktz9N0/Dt2gNAWn5iE7Ez2KZO2vc02O64bm/AMBH3YkpTTIcojZMOkaqAHgNcP78upglz2Uonf5hT3crEPKJC4aw54kbz3KPF/JIrfhAPIkyysdJyXkOYeM3AVCJNwidDKJQij0jhCpEBUbEI7j9gsCWlcf/3aGMrk+evVTGHp4nts03VzHrFdW0zUSczOadKovO0N42oN+S86rEHzMPNMSw6sVDqG1EdTjCZsOfF76KjaeE+sOn7oIA1TMSxMQRsN6JoasxNRYu7+VFC26QJVmGCTXBTHNxPZvx4Mz5NabXlF4uxyYTNn4FtexTe/8QZcbzb7+e6eXVJfMC1nHSijSceFjefHQhTbjwhdANCc50bdb7lwAwpfm/ZowJj4wVEBQXEX/+Uk1CQLEZcI9YCYDli/zzgCFoLRL2wUYDVCA11deB5SNjUqin7OjsqICveeYaXK5x+fgWvrmxpVy/YVHNeK6v9neZj1v8+FC28qVGbTwPbGhHgVDUpE4dmxaFZqfdnhLY6d3rE5v9F2EasJSVYvWbMTg2zU8PkVUKbpqh4fJkomg1QsVOFpmn7RKlEg8QYArYXI8sSS27KT3hTvPnGvLimxIkTrAwsM8Vthr4E4ev8Q2BfZVWkFrI2YGJOJCy27VFYu97D5Il2CnPD80im8VRG7deAqZow0b6BqN6kf7+/lYTgXpngs7htUSFWqympIPGoyZu/f0RrgRgUNvcRjpQ+O/D/gYH9qb7/8kplryN7gyQ6z3JgGjD7okoUVePFR0v5tlROOfI3meZ7C8IiceWC2nZp3R2JvEfBuklBM0HDxNRycL27dwFg7d8/4TiHIlardqkGk9QztPWuQNOkbtt6A4aA7eXMmpbOM48W8U3UTfHbMpmnHink1Dh+UxAC+qZFuaxABDRFR+m+AdwB/BgYX1IcaZitrBK31KQ+4CoFWZa44PxwDmHSKj+6fcHUnkt1+94xESUEZF74VwnP/6skqYAI5qPGGnf5nJyU3lO0z7e8UmHyhDSKck1cj4iUjtA4Edp5bqaU2vsvkdsc2RsvNSjZeW5ALCrOvEAsa9qSRhQsoBFrwXIqYsHzJB2fBtUe0t8X2qtntAV/bmpVpLy7dgNg3S+xgHUGBGyGVLEXM+x9BLvpdMfWGzCCnPoAs6alM+1EO2vXe6ioUigtlpk0wZZSEMzMaWk8/nAeF11czwqdChKM0p2FuHEOKpOZOCGyrFxJcbhgf6LAmNKAYL76shwe/VczrgaNxUQGAkFY4+mHyIGFcGpPdJ3ixZpYAFw6J5tTpmZEFMY4ZWo6azd4EgYExWvP99F6F/c82pg82Cf6eUB7NUnhVKHo2smnAG+3aJgRpuzXYrz/xUBpgYnd5X5+2pRaQFZ5pZIwKtnjjV/MQ79/DOEuN20JSIpbQIPISO/ubsuXvloIWMexqaXnAHh2CwFr228/aIg/LqjBpkvl8Qf1QYwgp8QYGmwX0HZfa+S/WP5Tn6bg1vyhzW9SGD/RzCmn2hg/0YzH5Mep+QKbEntTxfbraTbueUBobmMQpswvEEIkaDadtzALv0mLOH7MeDMDy0wJfcCD+pk4YoIZHwqqrHLX7fm0ENvMewoit7UfIphIIZzas4wYJlIJXl/hYNIEG5JOIZFlickT7Zw+K0O03zNpMT9/TBpTJqVz1m+ymDIpXRyXLNgHITgm0zr456P1Lirr1bipQjcgcn3PQ2h20e9/AvAmUFGrMvvSKhYvrcdMpGlZT1C4v/ZmYj/tpi3eiPHxzvNn2t/lJlhA484bRbGF+4FfCAtX2LtOOq3+djqify+h3w1aePOqpK0Rn0PDFDvNanir82eEtkaXPbTVlvtRGhtBkkjP2Q+LSwttktcf2lAVnP6gBhslYDU1vBnscxgC1gCAGdPTeOSRXKrLTFyKiNSdBHxdZuLRh3OZPq21z0qWJRbemJ3Qn3njwpwITeWUaWk89WgBhbkm3iTSzPtZnonLL87ic0kc/xAitSeZj3fNeneHfQ7JTJ5vILr8bKB18E+qEbXHIjS774h6/8BJRF5zKuL9vxR1rqCwzwSWv+FI6Kd98pkmBpfJKfva2xvxK8sSJUXCKDab1pHe0H1RxdZPvcgODX+hCfdhlpSOcW0W5l5LQREmW2KtN6zB7lsmYsMHmxjDRLyv4dKQqxWkOhVznYqpSQUfSD6N3/vgtMsz2LxTod6hkV4qc9AEK3KBjNqsomW1Xo9Nn5bGYw/DwgVNTCoP374HlZl4YmEOM2II5lOmpTF9qp2P1rpZs05oFZMn2fjVRGHKPWKMjRvm1/N6+d7l+baXeCZPm0koIn8MPI+uIZxyLikwBSGwPwLeR5iGT6J1W77XEJr9n4FSYGTgPEsQwv0vwL8SBWVpMKlcYeFVedx4ez2nIDTp4VHneYmwr31vutz01LZ8tveEebh5ik3Y8VNQKF2bhTZq77dfwnGqZgr5YNNNhom4q67bG+gSAXv//fdz++23U1FRwciRI7n33nsZP358zLFPPvkk5513XsQ+m82G291xWsq+gKlSwfyDD/OPfuSf/Mjb/Mg7FeTq5HeWgjj71RwJpb+MMkDGf5AZ5WALylAz00+wc9JUO5+s91JZpVJSbOKoJD5gWZaYMjmNKZPDAjjYnefUaemgiQIXkIKPt403a33nof6l5pR9tMkqOSXtIkPYvAxCw5sCOEnclu8GhOl8sm5/0L/ZAPyL5IuQA4dYef6REs65sJIVuqDjaF/73na56amddGyrxP2j5bjU8l8BXJtEgQlbvwGJx6mFaJgx4cVOXfsn2QvpLm3S0GADvPDCC8ydO5eHHnqICRMmsHTpUqZOncrGjRspLi6OeUx2djYbN24MPZd6WWuKRKUO9S3i9GXdFF3OXHSJNzXitfBjr26/aauftDVebBu82D/1Yt6dYA42UPJN+PNMqNkmVJuEZpXEHV8ByasheTXkZg25QUWuV5EdGqZGDVOjH8sPfnjLE3E+72EWjh9lwX2EFfdQM26TFmrPJetu6HLU39KiiwY0SWKgomjcsKCeGQQCmogdELVEEoE8kyZYA59lbI+Hvq1eqp2HZMkUqhmsJ1HwT6KWdLcg/K4v0dp0+mng/2RC8p/AoQgNeHLgPPcHXktFY6yrVwnEOzEaof3+AaG5ngKs1Pa+y01HtuVL9XcUcUyM34e83Y95k4ImQ91R6SiaKaI8Yo0nHCHtcIZNwc5fhLk3o2AAZifILt18fOFSiQ6viDDOkCuQNLX3tHox6HQ6XcDeddddzJkzJ6SVPvTQQ6xYsYLHH3+ca6+9NuYxkiRRWhq/aooBoGlYP/eS/paHtHfdWH6JFMqaCXz7y3iGWfAMM+MbYsY3QMY90IyaI4EkoaS4CpQlDVOLinm3gm23gmWbH+smP7af/Vh/8iM3adi/8GH/wkf24040CXzDzbh+ZcP1axvKaIswy6XIuvXeUAnHPYgo4lmIHNQIgaXBM4vyUxYIwc5DsUoUnjmnkucfLUm5vV88EpmXx6rifehRgbcCj5MJyWOB46KOfTNw7sUaCTXGSePsDDtyOzMR/tGrEGlPwdSnLKAoz8SpJ+3d+4ee15YvLWAebhlnQ8lJLezE39CMUtcESNhLkuTAquJelWHat/yvIDTJ7jDXGhos4PV6+fzzz7nuuutC+0wmEyeccALr1q2Le1xLSwuDBg1CVVXGjBnD4sWLOeyww2KO9Xg8eDxhbaqpqanj3kAPRN7iJ+1lF/ZlLszbwzcvzQzuI6x4jhRapHOUBS1T3Ez0ekB788fUTBPeoSaUoWZArPJNAJqGebuC/SsfaV/6sK/1Yt3ox/qt2HLud6AUmnD/2obrFDv+STbQCURF0Vi33ktllUJZiZmJE6yhghbDEQLnJUQ0sb7Yvxn465zMuPWRo4nuPBSrTvC182s4ZWr6XqePxDIvV9cqnHlBJUcjApeOQAQ33SbBOg1K8kwsblBjCsnFgfd7N5BGpEa4ArjywlzufKghoca49rNwb94jEc0WPkLk85YFzj+5Xu2wmsHx0qC6owds2rvi/tB4fOrmYe/mQP5rYTEma7IAJ5G0lSGXp+Tb7UtodE8f+d5iJOhUAVtTU4OiKJSUlETsLykp4aeffop5zNChQ3n88ccZMWIEjY2N3HHHHUyaNInvv/+e/fZrHWywZMkSbrzxxk6Zf4/Br2F92439SQeWtd7QbjVDwvVroSU6j7Gh6lbnXfallyT8g820DDbj+o3wq8lVCmkfe0l710Pa+x7kGpWM51xkPOdCKTbhnmnH9ft0lu/ws2hBEzt0wVEDy0yc/QehRQU1utMIBwSVA3UIzWv6iakLgnjN3yGy89Ca9W6OmbT3/sFo8/IrK1ooyTOxrl4luLQ0A/m5Jv57u3CVxDOrrgCuvCiXl5Y1x9UIJ4y1J9QYn3u1GQibm4P+3yDNgf87Mro3lom9q5EcKvZPxG+m8bjU/66eLaKCU1rpwKRjwwK2Yp8TsCoSUjcUfTAKTbSTiRMnMnHixNDzSZMmMWzYMB5++GFuuummVuOvu+465s6dG3re1NTEgAGJgxI6A72/KNo/lIqv1ac73hcYI7k0Mp5ykvUvB+aAENJM4DjGRuNpadSfkIaWLsSFW5PRu259WtjTp+i+jIpOvKhafHOZSYp9p7DqLhI9xhp8nwUWLKda4dRMJK9G9gY3WSvcZK90IVepZDzmJOMxJ6OAqxHa3KEEzbUqt97ZTGGuxOJGLaTRBQWCSrjwxRETRI3l0Hx0n3ukr9fEnkrhM9P7ORXCQjsnsC8oYKL9f7JkandHG30LO333oFuAFQ3iOqmYVRffUBD3+kGN8YO1LlavdaIhMWWSPSTgemp0b0eg/01FxCtokPGeF8kL3sEydfunQcC02KCEBb++RZ3SIlJ43D+LAKeg/xXA7Ar/XaSAD1bToCUoYNlt5LsaRNCpArawsBBZlqmsjKwsW1lZmbKP1WKxMHr0aDZt2hTzdZvNhi1JjlpvIyhYMx90INeIH6xSYKL5zDRq/piBv7+4CWoJBGRPQbNKOCfbcE62Ubkom5wP3WS+5MK20sNYYKxurN5cu16C1zWhueqFUtDs+eSNOW0yN5ZGCZhXEGbnbboxZmDTVm/0oQDt7t+aqIXdcoRPNljZKJlZNZlGuPxNR8QcFy8Nz/HUkzISRvcuRpipFUVDUbRuMeV2Bhn/E9HDjql2SDFYUtM0vNsCGmxJ4sW6V8nCTwagkr6P+mCNKOL4dOod2mq1MnbsWFatWhXap6oqq1atitBSE6EoCt9++y1lZYl7MfYJVA37i05KJleTc1Mzco2Kf4BMzW3Z7FxfRMO1WSHh2iuxSjhPsPPauen0I1K4BTEBizSoqheaSHQxim/KTDz5SD4zY+TXJuLoCfZQ56GXEIFT0fWCpwI33dnAqysdEce+utLR7o42ba0nHBSi+upSqZCs687yNx1xC2icgli0VNarnHh6ebcX5e8oJLdGxqpAecTpqS/C/dV1qC1OMMvYCxMHOLX4hPsr3VSNLPkTju2LGO3qEtPpJuK5c+dy7rnnMm7cOMaPH8/SpUtxOByhqOLZs2fTv39/lixZAsCiRYs48sgjOfDAA2loaOD2229n+/btnH/++Z091TYTzyysRjli9GZMvSnYrTcnrfNSuKgJ23fiR+rdT6b6b5k0/DYdpzlQeUYBhxauB+xWwxVpnFrkDcSrMxH7NLPusc50nEADlnXmX4uuO4ise292ky/iGIvuBmOXfHEe+9la4aMWKIxz7VHAq0ANojn7M8BjiPKN183P4sSTbXgCn12sNB+ITEQ3IVS2Wxbl8cc5NbxPuPxidFGHWcA1umCnVIKjEtXW7Yp+qak2et+4YVBMM3QWIkf3UpI3fu9s4qXmJHK76B/r09jMq72YnBre/jKNI2w0K+FFWY0v3HiixhU2EZtaZHw/7AREBx2bWyYYUiO7dQI0YCJucRcBkCHtBnXfMw9rWjcFOfWSKKdOtzGeccYZ3HHHHcyfP59Ro0bx1Vdf8eabb4YCn3bs2EF5ebj6SX19PXPmzGHYsGFMmzaNpqYm1q5dy6GHHtrZU+0WpEaV3H800v/0Omzf+VGyJCquy2LTqmIazswAS+9YqbWFwuLEPUQ1hKA7H+Eb/SsiV3SmBIsXNbe7r+ip09K5/h/ZCfvRRpdfDAZHpaqBRpNqv9QffvZGdMBpC23RkoM1g995sR+FuRITgVrgWtrXCq8nk71C/A2bTk7dPAzg2boNAPuQwUnHtviEqyvTtLvN8zPo+3RJkNOll17KpZdeGvO11atXRzy/++67ufvuu7tgVt2P/W03udc1IVepaBI0nZVG/T8ycRSkViu1tzJqvI1+ZTK3VCgsj+EPvAT4NSKVJHhbNAELNBi3R2X9ei+TJrXP737gEPHZpqpR7q0GmqyyUbBf6uKl9SxeWp+SXzeats5RliVMMtQ0aLwORH/bwlHV/g5L2+lyXBpZ7wYEbBvdCe6AgLUNGZJ0bFDAZpj2tG1+fQTDB5uYnh8l0xdxqmT8o4GCvzQgV6n49pfZ8998av5fDkphL/axpogsS1y+II8VxPYHPhwYF/0TGgPMB2p3td+cWppEe46Opk1VA40XfZuoecApiOpON9E2v2407ZljV5iuuxPbag+yQ5iHXWNSX7AqTie+ChGslEyD1TRo8YnYkCzTrnbPtTdjFPtPTI9L0+nppOJ3dWuRwQ56v6v/Oy9FlzRg2aygSVB7QQZVc7Nx2CyhHLoGNXLF3ax73qTYY+5vUSKT6PX+WY8a2webCL0/U++D1T9Olz0Rx9h1Pth0U/i1LDlsPs0I7B/262yuuT+Nfy8qZ1JF+DgzIqJV3+YsiATcCDhuaaLFAi2n2LHrKkTp/bHBPDlF0fh0gztUI7m6RsFmgpvV2P1Yw+UXbahoTJpgE8FRCWvrykwabxOt1BSND9a6+HCdBwnRDu/UkzLi+j5fRARcQep+3WjaU/+3J6XtpOp3jTxGn44TPj5YHjHrNfGdq5uWjhMLaFGpOb6w37XRFf7t+DfuAE3DUlCITc7G4tSVI9X5YDW/H7eSg0/LQEIhXdsNioKmRs25tzgL24mqSUhGsf+4GAK2C7E/5yTrhkYkL/hLTOxcmoczaOrs27/DmEyamsNxv7bz7acu6qr8FBdq/L8rq/m4SkWNIShuB86WYUCtRsbfGsl6zkXzkmz8+8f+Gr+x0sX8BY0RhSxApAatpHX5xcWIog768ouyLHHrTQWcNacqbqWk5wO1dV9d6eDSf1RT36ASvBXfsrSBkjwT991ezM+fDuaj9S7e+8jJLUsb+B9wVNSc22OelWWJW28s5MwLKuOmNUXX/+2pRfk7Asmlhao31c1om3nbtW0LAPZBKZiH/UJ7TZMqkSVfktF9EyPIKTGGibgr8GtkLmwi+yohXJ0n2NjzdmFYuO7DyLLEqCPTOe6UbMYdlc6lCwtjmo5nSXCdBK/dk0PtPzJRbZC+1kvxr2vIWtpCqIp9gDdWujjvwnpGlovKSQ2IRu4zEL1cXwK+JTIF6B0TPPVwYavyi7OmZfDco8V8UypHjP+2TGbelbl4PBo331XHGedXUtOgcjKRcx9Xr3L6+SJVZsqkdIYdLP7uI+N8JkHz7HsfpRb09MqKFq5ZUING67Sm78rMMaOBE5muo/vc9jbS3nFjcmm4B8g4RliTH6DDvV0I2LQUBGyzX6TwZEn7pnnYIDn7lIBVFI3Va50892pzuyM220yTSs6f6kn/l8itrJ+bSdXjuaj5+9RHnzJTTsrg5geK+SJKmH1VamLpQ7kcf0o6DZdlsvPdQpzHWJG8kH1nC8XTajF/JYpEKIrGvPkNHKnBGYAb0cx8D+GWcKcBmxC9WJ8F7gM8KhTmxzaJzpqWwQ8bBvDWS6X85/5i5v8jD03VWHRHA7MvqeKWOxrIJJz+o298/howDbh6fjWKoqXsM71laUPSnNTo/NcaRIedMYHXlywsiBswFawe9W3UZx1PKPcWMl4KmIdPzWhT9LDq8eHeJVJ00oYckHR8s08UocgybWv7JPsIQoPtDh9sd7/z1NhnTMTtrsQT5R/S+4Ui8lt1JQSDOZqmcoW8P9Zh2ehHtUPVXblUTM8MVMiGBjXs+6lTwnOo8mdHXLPeH/YX1ekeN/vDxzf5onywiln3OOyP9aupCXazKfy+zbqcWLs5bApLkyPNYhlyuApShjnsg83R+WCz5Mi+vjlyuKhDduC1Q36dw79OyOW7gOm4X4nGyCPsyLJEnQLpJh8MNFP/bxtFbzgoWdCEZaOfvFNqaTo/ncV2KK/Q2Amhur/Bxoj6oB59Pd5mRB7onko/iqahqAofr/dQUalQqquodMykNJatdHDTnfXM0OB5oB4hQBOl/9yAqHX8wSdOjjkyPWlVpcHA08CtCXJS4+W//hW4iIDWv7CW06ZlxtVEe1JR/kRE55bHy331lyvYPxDfw52n5eLS5Y3rfbBVnnAerLNFWBRcPwg/qjkzmzRrIVKLhMWhK4/o0X3fFYUmn6iNniltR+std/wOxogiTsw+oUYlq3LTGVVr5O1+8k+rxbLRj7/YxO6XCnDMSL2bx76OLEuMPDKdY0/JZsyRcW74kkTzKWlsXVVE4yw7kgo5jziZ/X9OLibS7Dk+cMh9ca4X1BqrqhWuXVjHQaN2cdLvKvnTJTWc9LtKDh2/k2UrHYHCE7UhoXYkwvwcJJWo3ITmWYQf+E6EfzZRTmpbq0TFo73Vo6LpFgtRFNkvu5BUcI2z4BrSNvOw56etAKQPOCBpD2pFs+BQRC5/lml7+ybbB9C6cesN9HkBG73K15vuOiuhXv7ZR/5ptZh3KvgHy+x+NR/viL6d29qdKPkmdt2dy+qrMqiU4DDgHiL/1suB6Qjt0Ico9L8a0Rf2PUQ+qs0E1y5s4P5HWxhXq0YIvhEVCmfNqeL/3dPA9iihpi/imWqqTFzzLMI/HIyiTiQoe1KqzSsrWjj4iG0c/9s9/PGvlRz/2z1dX3JR08h+QXxGTWe2PTjL/WNAwA5KwTzs3w8wYTU1Ypca2nwtg32DPm8iDq7yE7cpi4zYTNQZJ9osHOxnuqPCR3GJiaNzTBSdVYdcp+EZamb303nUFqWFUnCqlbBpqsKfE3pc6Qs/rvKGxwBUesIm4wavLmXHE9aIHd5IAe5Twr5Evz/8WFXDK/NoM4ukS80xmXQl58zh96w3HadZI03E6Zbw8wxz2FycbQ0LhlxLpJDIszjDj81hc3Gu7Iz5GCBL05mcTW5Wv+nk3hvr2FOuUAD8DOQTSdBMuwIheFoQPtnQ+wIGqsJfO5b4JQcffkz0G9YLtcnAIERFpMVRx0K4oMTgMpmjJ9hD369Tp6Vz6kmDWXhHHYuX1rMSOBFhutYTT1D2lFQbfbeg6Eb2cc3bKaTmxOtCBbFTc2zrvFi3KSgZEpXTMmlWIy1GNf7w76raFZ6P2mJB8/lw/yL8r9mFB2IJrAsiOujoTMRNHmEezjZtB31qzj7WTccwESemz2uwnbnKf32li7ETKjjl9zVc+rdGbji9HvnkWsx1Gu7Dzex6MR+lF7b/6k2sftPJ9RdXM7Zc4UaEkItnGAz+rX9GBAHpNdSTgK0IoZvI5FpVL26gek1VBu5CCO03EB2AogtKrAAcLo3X3opcLMiyxPGTxaIpj9bCVX+taEEZSrWRWrchDaXa9OvcVJvusBDFI/MF8dk2zExHzWjbrc2zZQf4/ZgzsrHlFiUd36QMAiDbvO+ahwHDRpyEPitgP1ovfEGV1SIjMZnprrLa36abwPKVTv50QV0oDaQFkfZRrMJXwFPnpaPm9dmPt0egKBr33lgXurn/KrD/a4T593WgSTe+GUhD3PSXE9uEbAaGxbleUEAX5kqthNppwH8BG61TZb5HFNM/slHlzDmVrbr1tFdQdlaqTVt8qR3lB95bpAaVtDdEkFztGW0v7ej+6RcAMvsn978CNAYFrLyvC9huquLUDg32/vvvZ/DgwdjtdiZMmMCGDRsSjm9oaOCSSy6hrKwMm83GwQcfzMqVK9t0zT4rAU45p4I//rWSKxfUYjMJE12sm1ewFuyVC2pT9hkpisYN8+sjVu0ZiJurhghQuen2ll5dKL038N2nLvbobu6TgSKENnosQnMsIFx6sR/C33ojsYXB9YAf0b0n5vUC/190fnZMofYfSZiYszLEd+JpRBrQJkQx/aBGd22URrc3grKjU23a6kvtKX7gjFddmDzgOsSCc3TbgpsA3D/8DEDmwEOSjlVUCw6lHwA55m1tvpZB1/PCCy8wd+5cFixYwBdffMHIkSOZOnUqVVVVMcd7vV5+/etfs23bNl566SU2btzIo48+Sv/+idsXRtNnfbDvAhMQN8W/qWHTnb7KzS0I093fgLMJ+4yee7SYWdNEOkyr1nMorFnvYXu5wvO0vlFLiDSJp8tV3v1EYsyRaVTp/K47fQWhx7s9eaHHu9y5oceVzsg0nTpXeEXe4goXp/B6wn8+1RNlXPSZ0FQVf209/t3VKI2NKE3NKI3NaB4Pml9B8/tBA8lqwWS1ItltyNlZyDnZmPNzMRcVIOfmRH5LLOHPo9EaedM0657bbWF/Vbot7I/NsUWm6eTbwibTfGv4cYE1fEMvNEfe3PMDz7cESiwGb+LLEXmg0xH+Vv3f+Q3g3wjBF2/ZEzzPUkQXn/4IoS0TWUbxH5dlc8hQCzfMr48ofTi4TGbe2VncdEcDd9PaLxr2+YtuPcdMSovwxz7/aAnXzKuJOOeQMjMvLipMKCg7KtWmPb7URH5gBfhP4PGa9U5mTUvDam29po9XElHvd43+HSr6dDlFI/M/4rtTfmY2Ts0KGtT6I+da4QnHOdQ5wr8paY8L7w7RDSe/4GAsLbrFj7N1i7omzwA0ZKxSA1a1bp/zu+rp7kpOTU1NEfttNhs2W+sCPnfddRdz5swJtUl96KGHWLFiBY8//jjXXnttq/GPP/44dXV1rF27FotFxLcMHjy4zfPsswL2CMLmv/XAwQjT3Ru6Mf0Rvrh7ATvhQJZr59cyc2r8dIXKqtRW7bVVXVso3V/fhOfnrWLbtAN/RRWab++aQEtpdqz9SrEM7I/twMHYhw1Czs1OfmAXkFskNJXvEH/vK4nd53U5Qpudkg6POcXYWAQ11F+APwYeDwIuBNYFNMn/3JiLLEucOi2dGVPT+GSDNyJX9qXXhPm3PRrdb6ZlcMrUdNasd1NeqdC/1JyyoAym2rSXVHvKRtdHjldy8RXE32Nb4PlD/27miaeaueTCHP7fvPAisyNI+9CLdZOCmilRfVrbi2O4fvkZNA1rWRmW9OTf7UaPKDCRI29FknqNO7BT6O4gpwEDBkTsX7BgAQsXLozY5/V6+fzzz7nuuutC+0wmEyeccALr1q0jFq+99hoTJ07kkksuYfny5RQVFXH22WdzzTXXIMupx9X0WQGrRwNcwFRgLlCJSK2YjNA4TwXuRtx4ozWMWJQEOrLUIYR4NMEbdUFx5wY4aZqGd3s5zs9+wLnhB3y7K1uNkSxmzCVFmPPyhHaalYlktyOZzUiBL4rm86N5vahuN0pTE0pDE/6GRvw1tWguN57N2/Bs3kbL+x8DYC4uwD5iKBljh2I/ZDCSpXu+RkPHZVFaauaWSj9/18TNPF60+A3AJCfMyoNH6oWWqyfoLsgC/ocoY/gdcDPC6pGbIXHxWRnk5Yom7LIsIcsSv5pk111HonQvI3uDxSwAZKljPTiKosXVctsTbR+c7+03FXH6nIpQreYtwDmIz1ivCd+iwl0PNgJ0qJDNfUQsaprOSEPJavtn5tz4EwBpQ5ObhwEavQMByJa3tflafY52+kM75LrAzp07yc4OL4piaa81NTUoihLqQR6kpKSEn376Kebpt2zZwnvvvccf/vAHVq5cyaZNm/jrX/+Kz+djwYIFKU9znxCwHyGiQ18m9k3veoR2chnwY2BfRQKf0cQJVv6UJ7Fffeu1qwoslqB/qczIIzqnsIS/vpmm1V/R8O6X+Ctrwy9IEpaB/bAfNBjb/kOwDOiHuTAfk76Djt6aFT19/e/EJASvr7IKb0U5nq078Wzaim9XOf6qWlreXUvLu2uR7FbSxwwjY9JIssYMQTJ3XdS0SZb40/wybr1kJ8F218k0x+NPy2Dm4w7u0sTf24RYfP0d0QBgAbADkSs7GVHm8BTgrRaNBx5t4YFHWxhUJnPLojxOndZaYzx6gj2l7jtHT+jaoiPJKpntjS816AcOdgsyI4TrclpbEk4FHni4kUXX5MU0FyuKxpr1bioqFYqKJSZNsCXU4M0/+Ehf40UzQeOf267Ba4oaErDphwwDT5IDgAavCHDKlTe3+XoGHUt2dnaEgO0oVFWluLiYRx55BFmWGTt2LLt37+b22283BGw05YH/k908KggHuJSUmFBRI/JeQZRBlHf5ecgjbh7/A3LR+ask4dede8NAKrQ88MN2b2Ho+G3u8Mp9hyOcrbmnJfwlaWyJ1Jy9DmEK9WzZSfPrH+L85ntQhaSULBbShg4lc9jhZAw9FDld3GRMvkBIahVI+reQyF2ku49pJgAZu2UA2pD9YMgRcBz4FBfuzZtx/PQDzo0/ojQ14Vj7NY61X1OTmUHGEaPJOnoi3kHh99ySFjZTN6VFCpaGtPB7rbOHb5AN9vD+RltU+z5L+BwDjrVz/tIsXlj4M9T7k2qO40/IYvQRNu64sYGny1VeAQYCtwGNwELdMYMRAWvB/NmViFSaxRUK51xQw38eKQj56sXnpyLJsOSmfP4wpzpu953nFhUgycL3aGrV9TZMvFxRPalouan4Vvc2pzboB77shioe+ndzqOaznmAg2RsqPPBkI5ddkBvx+rKVDq6ZV8t23SJgUJnMzYtyOfnkSM3EHXDC5T8i/PGN09Jo2s9Gk658qL78KECFOxwL0Rz4jbk37UR1ODDZ7GTlD8H6S+RnLrt0ud4+H14lE5dffLez2QxKz+yXq2ka9VR3wXV6fjedwsJCZFmmsjLSwldZWUlpaWnMY8rKyrBYLBHm4GHDhlFRUYHX68VqTS2Qbp8QsEHDQLKbB8DjwOB+MkdNiNPpxqeR89cGrE6NisEyl7hVtlaE/9r9S2Xm3jCQCVPzYh/fDjybttO4fBXu734O7bMOGUj2EUeSMXIUJpsNXRngTkW2p5Fx2HAyDhuOIit4du7E8cWXtHz1FWpLC83vr6H5/TXYhx1I5vFHkTYiNbPb3jDqxCKGTyngxmPXcUudP0JzgtZWhVyLzLEn2vlig5eVWzxMuqOFEXUazwC3IopUBNvX/Q64OHCeOuBkwj7JeQsaYvrqZ01L55lHi7huXl2rIKjnFkUJ5U4mVd/qD+sG7nX7OlmWkAL9eZMtZrdsj4wNWLbSwVlzqkL1nfWLgNkX1PLEw3nMmBaVplSukLFcBM3VzGlfYwLXlxsByNh/aMBlklhgNvgGi/HSHiySM+HY7qJK281GvsNDc+dfrLtyUttwTavVytixY1m1ahWzZs0ChIa6atUqLr300pjHHHXUUTz77LOoqorJJH4NP//8M2VlZSkLV+jDAnYD4SjiuxFv9GbiNNlGBDztBr4AntX1A40m845mrF/5UHMkXM/ms7LMxGcbvGyuMFNQLG7gFVrHCFdfZR01/3kLx6cBw7XJRMb4MWQf9yus/cswubo3y0oymbAPGoR90CDyT5mJc+tGmtd8guu7H3H/uAn3j5uw9C8l59RfkXHk8JDPtzMwW02cu2ggS/+2RUSLa62tCjfPL4jo8zpmvJVvND/HezT+jSjYPzBwviMRAukU4JHAvisQXXlOBa7WYPIehbXrPUye1NrcO2taOjOnpoUaBpSVmDl6gj3m9ypoFg36RuONaw+p+lbXfuZu5UtN1lM2FgcMEreUZItZTdV44dUWSktkJo6zRdR3jrUIWLCwkZOnRn4uWY85kHzgGG/FNartqTkAzi+EeTjjoENTGt/gFW3scuRN7bpeZ1Ol7eYbPkEY6a8ATujU63V3kFOqzJ07l3PPPZdx48Yxfvx4li5disPhCEUVz549m/79+7NkyRIALr74Yu677z4uv/xy/va3v/HLL7+wePFiLrvssjZdt88K2F/rHg/pZ+ayUzK466HG1g2pETeP0UCNCZ54qIiZJ6eFUgTcOhOx5SMPWQ+IgIqqW3Oo7CdMmgdOsGMLpN9UaLDFG1kJZpOzOPR4W3PYRFzeHDZZtTSEzaNqjULjW+/R9N6H4PeDyUTWmHHkHXsCaWkB02slyDp/kSnKd2TSKQiSLudSSrDy0yJMxLqSirqbmqqryKhaI5221uLh5J42HN9xddR9sYamDevw7a6g5oEXaXhxFbknnogyeSSSKXyrd2eEb4wtGWGrQXN6+HG0WbnZFn7eogtq2O84C7OXZvLG4o1Mqgx/IKWlFq6ZV8rhJ+ZQq4KCxAdvOnjgxhrKK8TfN7q0onhHYfPw/QgT8dLANigwZneVDx/iQ1F1H6AJE5jgqIlifrIkAVrALBx+/6+sbGllFi0tMHHXkgJ+NyOyZGYskpmRd0elMkWj962e9ZusCF9qkCFlZp5fVMCp09KTXu+iP2Vzw6I6blGJbUkALMDD/27h4X8L825JvonKOjVm2lt4EaCyZr2HSYEeyr5alcynRfGKnRfl4NDEraxBDf+Oyr25EeeqcoY/T6XJgr+uAe/2cpAkcsuGYW4GS0vk+9OXR9T8fuoDAjZX+iXkptEiSiV2X0yxpmls5DvCHvAurAPdwznjjDOorq5m/vz5VFRUMGrUKN58881Q4NOOHTtCmiqI6OS33nqLv//974wYMYL+/ftz+eWXc80117Tpun1WwL72VClNzVpEtKRJklj6YEPMVJ0vgGceKuK0GZmt/K4gKsVkX9GApEHjH9JwTLMn9me2E/ePm6l55GWUunoA7EMPomjaLKwlAV9Bz7RKRWDJzadw2kzyjj2epnUf07D2I/w1tdQ8+xyW1e+TM+sk0kYMS6liTlsZ8etihh9XRM2Xe2io9pFbZOHII00Rms8HbzqY/9dKZmgwDhHYFE8AjQj8n4OIQC9HBEEdBmwHNm9tfxpU0Cw6PcosenOtytkXVPPZxd5QtG17tdy2+lbj5dRiSk1wWK0mLrkwh7sebL2YXYxYzI5FdDUK7r+kTqWS5IuAyqrwDy7vYQcmh4b7MDMNx7avFKTrW2EZSi8bjDktuYlZ1cw0+oSAzTPFjj7tTuqpDpiFY3nAO5Fekqd06aWXxjUJr169utW+iRMn8sknn+zVNfusgJ08IZ3sqJD9W+cXMm60jcuvraayTvxYdwPWfsl9Y5mLmpArVbwHyNTO7/ioNc3np+Glt2l6aw1oGnJ+Hvm/PYW0EYdhcfTOesZyWjp5x/2azOMn0/TRxzS99z6+PRXUPPAktkMOJP+MU7EdFEt33DtMssQhE8JFBWQ5vJJXFI0HbqwJmSM/DOyPJ4DsCNPxVYSD5QC+RCzMnnvGwZWXZbWrHOE182qZrrWOtn0NYYb+vwcbOWK0DZNJ4pp5Na0igG+9qZDfJPHnHj3B3mbfaqyc2uhi+4kILgruf7iRN3SLUAtCuG6Ier+3A8eTfBFQUiyOMlUp5D4pVpp1czPb1FRdj+vr7wHIGpKaebjRPwgVC1apiXSpol3X7Ey8BIu4xFuqdDy9xUTcXfTZUonx+P3MLHZ+M4RVL/fjP/cX885LZfywfmBC4Wr50EPaiy40Capuz0FL69g/rre8jvJFD9D05kegaWQeNYF+N1xJ+sjhnaLldTUmm43cE46j/z+vI3vqFDCb8fy0ifKb7qbu2f+hOt1Jz9FR/PCpg/KKyPKKgxHaVbRBQkNUcXoNoeXqSxiORQjZ7eUq69a3PcJszXo328uVhNG2fuDiudWcOacyZi/jWHWNo5FliVtvKuzwesXJ+H/zCqjdMpg7FuZz8XnZXHhuJj6E5hr9fo9BlLG8mfi1mAf2MzFhgnAnZNzTgsml4RpjwXFCnGDEJCgtDtw/CT9q9oEjkowW1HkPBiDP+kt7ZXqnYiXoOolXeb0T6Mxi/sm2XkCf1WBjEfIfmWDyRHvc1lgeLWz2czkU8q4VyfHN56ZTNSYjdBfQt5vTp+L87IgM/d7UFH6tvD6s/Xrq7bi+/Ymax55Hc7owZWRS9PvTyR0wPKKLt9mpfxyes1knl0y+yG+c3gdr0tdETvTFjOODVfVptJbwfiUqrkSxSbEf24OPM7EdM5O8wydRs2I5jh+/p2nlGhwff0P+b09DnRgus+/ODDt7nRmRF9L7Zx26SThV3WNLeIxbC+/fXB7pk5QRqTi/QzQ7v46w6fJWRJDTnxHVnIIEczpnIdK0dpb78GkWVN0HaIm+AWs6sSKplFem5httadGYTvzgn2vn13BKgqpjICpExS7DKPP8osII32oyU3RbTNVmq8SlF4jfyAuvCp9rrPcrI9Kk/kjrcqbBAKsHFmbjM4G23Uf6s+IHsfuqHBxYaFDC2na1P/z7KndHWppqW8LjPGt/AFXF2q8/WXIhNIkfhtkRafKX3OHFU533IADyTT+idaOvNR55FGEjCw+3IL6hXYEECVLNOve6PZ99SsC2h9w7W7DsUPD3M1F/TftSAWKhaRqN/3ufxmVvgaZhGzSIkj+eizknh66Iru9OLPkFlJ3zZxwbf6R6xav4a2qpfvxJ0r4aTv4fZiFnJw/uaS85uvKKQXPkaYgm51ciCuUHKUXcpo4nHNQUxIQQxq8DtbVtd8anWvHJT2yPWqy6xomILsMYSzi+utKR0BSd7PW9eb/7B/7/rMDEJN3nOajMxGMLszn2ZKGd5d7dguSDpsk2WmJEb6eK45uvAMgcMTKl8aom0+AXjdjzLRuhi9Li2oIkSQzVhvMNKxBLlcu7e0r7PIaATYD8k4/sx8RquXZxNlqmKVmaXEpoikrVYytoeuczADJ/NYGik05DMu9bf46MocOwHHoAjW+/Q+P7q3F98R3lG7eQf85pZB3TOfmzB47LoaTUwi2VPpbrfJKnATMRJRKD1bzKEMVH4hX1C2pjBQVt97QcNcFGaYGJm2vVuKljeUA97auuFAt9GcZoXl3p4Mw5lTGLUZw5p5K/X5TD3Q81xn39+UdLEgrZVCpcDS6T+eTjYjZ85qOySqGgSOLICVZkWcKpaVi/85HxsjDblF+dE/M6qeCvb8G1WZiHM0aMFB0iktDgHoSKDavURIapvMdaKIul/ozQjmQjH+CJCOfsJHpBHmx3ss/5YFNG00i/sRFJAcfJNlzHd0xpO83np+L/XhbCVZLIO3sW+X/c94RrEJPVQt6MaZTNvRzLgH6oDic1Dz1N9YMvd4pv1iRLzJ7XX6zxo3ySp0lh4fo0orwmxPdobQ38X1ba9iA0WZa4Y0l+SNeI8I0izKLBZK9kvYzjVVdKFRFwVRO3afp0TQQsJWqqHt2CLxrhCy5I6Au++UZRPvHoSTZ+OyudoybpyiSqGvn/bELSoOUUO64R7ct7BWha+72wGg0YiKWgMPkBQK3rQADyzT/2SP+rnmKpP0dzIiMj7DGdhOGDTci+eVePgT41x62p2N91Y/3Ii2qFndfn4gs4Iqt05df0rec2ucK5rnqfK8DuWrHaVj1eym99Eff3G0GWKfn92WQdNgqqwdqo8981R357LLo4FrNb1T3W5bf6o3ywSvzXUkHvMtTM4SeqWeebtUbeaRTdc7/OB+vXKU2yO/IYORAwZrMPIO3Cy6l7920aPniPlg+/xPX9NorOPRtlxH4Rx7i9Yf+s2x/+Cjv94ZuuKy08xqNFfs0HHCfz56WZLF/yC5MqwvmyZaVm/nhGLk8vreEARDpOGbELlIDo0HROBowab8GtaUR8HFH5oiZdAnIwX3bmdDuXX5zF/Q82t0odG4soalGcZ2Jxg5pQ65s0wRaKJ0hUejEea9a7ExajOAlR3jBRU/VJexQ+XO+KqyGrqJwyLS1uhav/3JjLzGl2fLrPzafzc9r+68b+uQ81XaLin9k4dQnZ+pKI+tzXcmeklutsFHNrWP0DADlDx2BtlLA1h+ciO6Nsv16RB1vrDAhY+Qc0RY0skdgD29VJkkSeVpR84N7SzcX+ezqGgI2FTyP7JuEIrflLJr6Be/8xaT4/FXc8h/v7zUgWC4UXziarLLX0gH0FyWym4KRppB9yCJX/fRaltp6KpQ+S+7upZJ10dESBir1l5IlFHH58IbVf7aG+ykdesYUJ48X5332+gVsq/byiiQCclUQGQP2I+OGMAZ50QP2jDhwXZqScLqIoGmvXe6isUpl6XBqjR1i45oaGiNQxSz+ZZxeJFKZkdY33NgI4WaH/oMhMWss7BVN1sMLVR5+4qahSKC2WOXKCJeF7kOpVipYEfo9XZOIvldvtqvFX1+HdvAMkiexDR6V2jGqjMVDgP9/8Y5LRBgZhDAEbg4znXFi2KCgFJqov2fuAG01Vqbz/FVzfbEayWSm69C/YDxwiitsatCJt8P70u3Yutc+/jPPzr2h48X+4N26lYM7vkTPb3/M0GpMsceiE8N9XNgl/+/nzS7jlkt38CqhG+EMfJjIA6kDgBYSQLbilBet2BcdNOTHChyN5faWL+fMbWxW0v31JHsUF5lBv2aN0XWQ6u65xsmIUrsD/yQKySlM0VcuyFFFeMrqZejQ5tzZjrlXxHGim7s97934d674EIH3QQZgzU8tnr/MciIZMmlRFuikFh+0+RG8o9t+dGD7YaBwqWUtFYYLmKzJQ29FfUo+madQ8vgLHuu9Alim8cLYQrgYJMaXZKfzT2eSfeRqYzbi//omKG+/Du31P8oP3kqOmZnPzA8X8lCME3KXAJuB94NnA/z8BByHa3GkSZD3tIu/cOqTG+MLi9ZUu/nRBHSOiclpHVCice1EtdQ0qp/8mg19NCkf3KopGfq6JhdfncdvCPJ64t5C3Xirl+/UDOqxpQKgYhRQ7D/VNwGYi7utLJNEgozNa8Fk/9ZLxjBDxFUtywNp+bV3TNBxrhYDNOXxsysfVuEXAXYG5C/NLewuGDzYh+5QGq0b9VfR+16DvJ+1fzcjVKr5BMrVnpdOgRiay7/GHC/lvcYV9HJt1ftc9dWHfT+2L79H0zqcgSRT+6SxyCw8l2EXKVh8+r7UxPDdrVD1UizP8XA74YDVNpal6Cx5vMzZrFnkZA5F0rcskJXyMlGqtVJ2JM7IWsUn3WLffErn4UGwymqbSWLcVt9qM1ZZNduEQLK7w18znijgEX0b4fLJH/1hoQ/ZhR2P/2yCq/v1v/NV1VN70IL5zfkvGxDEA1PjCWpPHF76OR+ebdSm6AsqA267zz+p8eW5z+PHhJ8pcmZnOvHO2hTS3KZFT5ztEXeKZ/8hkyv0ObB96yTu1hqon8lAGR/60TArMm9+QsKD99fPrmHZiWLguX+nkhvn1EdpuYa7ERednM2mCFQkpoq4xtP6Op4Ikw/+7qYCz5lTFNEWvAP5+YTZ3P9SU1FQdTxuNrgSlH6f3u7p1j10tKkVzRQ56zekZ1B6RHpLw+prD+tzX3e7c0OOalsgFiO+LHfgra5BsNvLLRiA3if0WnQ/WFOWD1bw+atxDASg0fZuwPZ2madRrVXhxY8VOHkV9olBMQgwfbEL2KQGblBYV+8NCe627MlOslvciLad57XfUv7QagPwzfkPGmJFQm/iYVKiu+o5NG9/E4wmfzGbN5+AhJ1JccNjeX6Cd1FR8x6YfV+J1h+dltRcweOwM8vc7vN3nte3Xn35/v4LqZ57B9dNGap94Ae/O3eT+bnpHTDsuwydkUFpq5pZKf0RKD4Q1twGlJkr+msn2Y+0M+HMd1k0KZafUUvdwLt6J4cXZJ+u97ChXeYHEgULB7jzLVzo55wIR2XsR8BCi9nFNg8bNdzTyyGPNLL29gNOmdUxu9qxpGTz3aDHXzKuNa4oeP9ae8PWOpmhRM9ZtCr4yE7tvyN3r8zWvWw9AxuhRyNbUKkA5/EU4lRIkFPLlH+KOq9J2sVGLbBFnI4uh2nCKpf57N3GDXothItZh/48DU6OG9wCZlpl7Z+7y7Kik6sFlAGQffwxZkyd2wAyFcP3+m2fxeCaiT3bweCfx7cYXqKr9vkOu0555/fDl03jdkfPyuify88f/oW7Xt3t1fjk9nZK//IXcE0T7reZ311B93787tcyiLEv8aX5ZzJSeYGrJPxZmI8sSnuEWyl8vwDPSglyvUXh2PfanHKxd52HZMhcfrRHRykkDhaoUFEXjhvn1zNBgNiJ6dwSR1z+iXuUPc6pZlqRUYluYNS2DHzYM4K2XSvn3/UWtTNHJXu9I7P9zk/OcKE9aeVcOSs7e3ar8TU4cX30NQNbECSkfV+0VZRTzLL9glmJ/16q0XXyjfYKHY4j4TXIM3/AJVdruvZp7T0bSum/rDfR5DTZRey29mcrtVMh9VNys9lycQ6NkBRWqlchAiO2esCl4qyOcprO7MWwWdu/SqLj1eTSPF/shB1F89Ayk2oDJU6fB2up1aQg6M5W5JVJtlt3iuaapbPrpf4TbUekNjcuBU/l5y9uUWvaPbH6iN8+pCb6ZOrNwpLlYd3OLMBHLoXn9/NP/EB14zwTciNjT8Ly2f/4GJZlDkT2RXzmzJ3xuny6Fx+fVtX4LjTFROn4atuJ+VP33Odzf/cTufz5K0UXnYSksoMEfPpdfDT/2qpHBN15VZ0q268zXWnicGvhsDzo+m4v/L52Xb9nCpIpw67J+pWYWzCti4lQLzYGvkVIs0fxiIf2uaiD3NRcF1zdTgejCEyzAlyxQqLBY4sP1LraXKzyDKB84g9Zm5deAUzX4+zU1nHSCDas1sQCKNiXHI14xiuBvRZJh8iS99qdFmKX1pmD970uJMl2runE+3WtuDeQKhdKrhWm46oJMaiZl0KBEzqnKHw5O2+UNu232OMK/w0ZdC8jGFZ+BomAr24+snMHYNoXnZmkO/131pREBqtzC8lJs+RJNZx4OtqjTNJWNmr5FXOvf5EY+pEjr1zfNxd3lD+0lAtbQYANkvOBErlbxD5CpO7X9kaqaqlHzxHP4q2uR8/MoOP/sDms03tC4DY+3jvjF867H46uj3rGjQ66XKlv2fIjX3wx8ghAJxyLibF8Jz8tdS2Pd1g65XuaIkfS78BLk7Gx85ZVU3H4v7i3bOuTcsRh7YgH3f3AINz29P3PvHsCdz+7Hkx8OYfJJrSPMNbvEkyfbuCHw/G+IKNxPEMUZEhW0H9RPZuIEK5VV4kbeBGwjfv7p9UB5rcrQMbtZtrIX9DFMBZ9GyeWNyA0azuEWKv6Rk/yYJGiqSsv7GwDIPSL14gteJZ16v8h/LbZ8HXNMPTUJWsQFvvs0UR8MvOhrBH2w3bH1AgwBC+DXyHxYaK8tF2UkTbVIRP3/NuD+9icki5mii2YjZ3ac+czjDfp3EhsaPf6ua7RcWfcDW/Z8gChHENHvBVFC/5XQvLyejiuybN9vAPtdcgXWgfuhtjiovOdhHBv2zgydCFmWGH5kJpNn5jHqSLEA++oTJ28td/D5OneoipGiaNyxqIlvCQtSM0K3fxWRU3sKkZ/UqcAbGpx1tjhvSbFYkH0aOD6ZWbl/XdBc3PuFbOGiZtLWeVEzJLbfk4+2F1HDQdzfbcJfVYfJZidr+OiUj6t2HgqYyJR3kibHzqnzasGovcR/pXArOYN9CUPAAuY3XJh3qSgFJhy/b1/zZgDPrhqq/vMuALm/nYF1YMcGN9isQY0pcfE8m7njmhIkQtNUNu54l7B5LKKIHsK4+Q9ArP6tto4t4m/OyaHkiotJO/xQ8Pupue95mv63ptM7nXz0ZjPnTt7KlWfvYt7ltVx8VhW/PXoP7/zPxecbvOwuV2NqnScgTLtvIXJqswP/v4mweP2/O5oZO6GC2jqFgWUm3gwcl6xU4u2IT/r6+XUJyxX2dNKecpDzb6fwu96Tg+dAS/KDUqD5nXUAZI8ejynF4CaASocQjiXWL+OOsUrB+0Xiv1K4lVwfw0jTSUif98HqiU4hCKYHpD8iNKuGP6XjtEs06Gr77fblRRyzwxVuEL69MfxaS5WNyjuXo3n9pB14MPnDj0aqDZQB1C1+7XXhOdh0OZOWlnCbLNkR9gkBmDzitUJTGTZzHh5/sB1VdFzrYuxyHgVSMZI++Kc9AkfnL9JXUNKn7DR6duHxJTJZX4cQIVdhsxZQaN4PrTGyHVgwHQdA9obPYfLpH0ed2a/zz2bZ6f+786hOX0bj+o+pf3Yl/l3NaOeeHJq33x/lg1XkmI/9Ol+t3h8L4RSer96u5l9XlDNdE+86mK5yS4XC3IvrOf08sYiIp8/MAB4AVky1svwtLxMRAnIkweL5Kn++qJ6/XpjO/Q85yQTi/bWXAEMQ/VTTAlHIH33ijijiEELau3J+qTZcj+d39WnRv71Iv6t9nYfseSJvpvIf2dT8OoNmXfvBWiVy0Viu+13udIYflzeHF3FSvRVfVTWub34GoOiQo7A2iNf0vz3ZofO7ukUwml+1UuMU6TnFpk/R/P7I+IXA+8nTCqJaxLX+TdrIJo8uKFvYHRg+2ITs8xqs+Qsv5q99qFZo/GP7fa9NK9/Hu20XUnoaJaed0SkBDZJkYljZsRCzRPypwAoOKZwckQ/bmYRN0cmMmJ9w8JBfd9q8JJOJoum/Ie+UGQA0f/gRtQ89j+bzJzmybaiKxqtLNjFda62vL9eEHv/ecuFqiKfPaMAc4KZ3vVwArAGOonXx/Ddec/P4Q7nYcyXeoLVZeRYiivkORDlHfRRyb8O60UfphQ1Ifmg4JY3qSzrOAtP4/gegaaQdOgxbbupCrsZzKCoW0k2VZJriRwFLksRQhpPoNzmUw/pmgBMYGmwS9nkBa3sq4HudYUdpR9sxANe2KhrfeA+A/LNPxZyT21HTa0VJ9iGMGvAbbOaP0Rsa7fLHjCqZSWnmwZ127WjCpujE5rEhA47t9PxcSZLIOXYKhef8AWQZ56ffUHX3E6iujvN9bfq8kZoKb/xwFg2qa1Wys6S4VY/mA7USHK7A/brzKMBqRPnFqRps36OSny/z/delXHNlJmszpQiz8neIHranBY4PlSss7piAuq7CvNlP2dn1yA0a7jEWdt2el3JN52T4G5toWS882TknHNumYytcwldbbP486XSKpf6M4EhsfID+N2njQ0ZwpJEHuw+zT5mIo5EaVGyviSCFxnPap71qmsauB98CRSFt1KGkTxgFVR04yRiUZB9CcdbB1Ddtw+NvwWbOJN/ar8s01yB56QOSmqxtlnyG7Dely+aUOWY0ckYGVU8+iefHzVTe+igDF5yFOWfvtaKmamFKTKavNzVrvI7QX66nddUj1xl2Tnneza8C47cjtF99BrMZ+N/bLo6eZOOqv2fz90uzGDG2gv3qNG5HmIWDojS6s05vQd7up/DMOuRqFc9hZsqfzEOzd5ym1/T+ByI1Z/8h2A/YP9xfMAl+1UqVR/w1Sy2fJhktKJb6U6T1o55qo5JTV123F9BnBayiqShaZOk4fWlEANPLDiQP+A4xUz0qHVTxR6tSwn6cHZ7IdtvbWsI+2IbGDFo+/grH9zuRLBaKTj4Nc70FW13kH99ep8t3bQjrNVZd/p3e72pyRTkdvbo8vYDZUwIKTKUQdFN5o8yhavg6mqpQ5y3HozqwSenkWctiCuOIm4H+sc4Hqx8jmWWG5R/NV1Vv0FqcLAZWMKx4FuYW3XvzRmpYJm/4K2gKlDrUNJWm8h343E1Y7NmkDzggwg9s0r1VvT9WCjy2lhyCfNFfqfjXo/i272b7tU9S/Pe/YC4Ufzu/Ll/Wp/fH6vNj1cifhttmwZMrvj/JclnvBx5HBC9FtKErlbltQS4FuXDs8262AfsBg4B3EL0fBgXOczPwyL+cHDHeyvRpaZgs8P/+Xw5/ubCBpQifa7TgfvLGHFQ57AWVda3rEqU/7y16X6s+vzXSBxs5Af82P8Vn1yNXqLgPMrPlqUKUHDmu33VPVCzETnf4d7irJTf0uLleLJSVFgfNa0RwU+HEE7DWm7Dr8s71vz3JGW5ZqPl8VLlHompW0kzVZGlbwtXckrSlkySJfIoTjulrdFfRB6PQRE9H00JFxB1/SGuXWUp1e6h/VsR65h53Aua8vCRHdD27nXv4qbEFn5YFHAAUIZNLoa2UTHMOJsmHTW7EbmrELjeSbq7G1IaAmNKMgxhVPIMfaz/Co4RzDO3mfA4pmUVJ1tA2uUtilYG0phUwaOwM8gekXm7RNmA/+l16KRUPP4K/qobKWx+k6Iq/YO1f2obZRDJgTCF5JXZuqXLHLp2ICDq6EFHe8BTgk3wTF88rYEApjB4vOuSYVT9lZSb+Wq5iRwjkssAG4UISsyRYtLCJk6baMckS06el8djDsHBBE5PKw3+jQWUyT96Yw8xp7Y+Abyv6lntFxSYmTrCm3DbP8o2Pkj/VY65W8Q6W2fpMIUpBx5q2m99Zi+bzYivtT/qBh7Tp2D0eUempzL6hxzdX73aMIKeEdImAvf/++7n99tupqKhg5MiR3HvvvYwfPz7u+P/+97/MmzePbdu2cdBBB3Hrrbcybdq0Dp2T/KUXy89+NBs4f9O+G1Pjax+iNDRjLskn95gpHTq/9uL0F1DtPpQ690HUe4vxqmWtxihApUds0Uj4yDKXk2XdTZ51CwXWjaRZGxNeszTjIErSD6DOuweP34HNnEFe1uA2m6yDZSCFwTQco+t13cIva/7DQUfPbpOQtRQVUfa3S6n41yP49lRSdfvDFF12HpZRJW2aVxCTLHHs1SN49R8bOFUSPteQFonQIl8ibLq9AZhUp1JUambcxPBPTZYl5s7L5sq/NgBwNbTSe8L1iVXWr/dydKB60vRpaUyfmsa69V4qqxTKSsxtEm4dwWsrXfxzfkNEE4KBZSZuWpTL9JMTp6PY3vOQf3EDJqeG51Az5f/Ow9/BfmPV4aL57bUA5E8+oU1mWo+STa1X9GnuZ1sP3iQHGBgkoNMF7AsvvMDcuXN56KGHmDBhAkuXLmXq1Kls3LiR4uLW5pS1a9dy1llnsWTJEmbMmMGzzz7LrFmz+OKLLxg+PJ73Kz7xunZYnw8EN02z48o20aSEfVeVvtzQ492u8GOAqmZhtvJWNdC4Yg0AeTNnYGsJ5+zpSyAC2JrCN6IIs3BL+Ner7+IheaJMxPpoWH/4sRYwAzv9Bex2TqLCMxqnEkt4aIAU9fwNZKootg3Dq+biUXNwqQUomp0m/0Ca/APZ7RT1k9PlSgqt31Nm/5wc67bQql7SzUUCCmSdydrT2qwNoPkiv3KSP9wdKFkZyB2fraAk6xBMfr1ZWWe+1qfvBMzANvLoN+dSKh5/FM/OHVTd+SjaX8/FfshBANTpSir6ldimYwBPIIUn7ag8Zt4h89FtXzGpMtwaaAiRQUcQ9slurzAzXA0v4ja8Xc+9N4WLbgwL/K8gSioGv4ljgDxgR6WCW2dilU0wbqIFsGCRJFS0CNNsEJXYgsXUHmtN4PxvrHRx3oWiTvLz6BwCFSp/uqCOhx/OZVpAyOodMh5VI/dxJwU3NyMp0DzZxo4H81GzTJFmYTVcmKXCnxt6rC+HCLDNETYRVzWGTclyrYXG/72L5nJjKyiloOxwpHrxmq0xPCO5Sfd7c4VXmntck9CQyZU3kcEe1BjlEcWTXqJCGXQrnR4Vc9dddzFnzhzOO+88Dj30UB566CHS09N5/PHHY46/5557OOmkk7jqqqsYNmwYN910E2PGjOG+++6LOd7j8dDU1BSxJcWtYX1d3BybT2+f9lr9zPvg92M76ADSRrRd8O8tmgZV7hF8VncJH9UsYovzpFDXjzzLz+xnfxJRsvAzaHWjlYBCFM5nP9sSxuXcw1F5izg+/wom593AqKyH2D99JbnmzUgoOJUSdriOY339VXxYvYifm0/F6S+IntJeUdeyPXkZSHdNu8otyunplM25iLQDD0Lzeqm673GcX7W/t+fBx/fnvJXTmPIPUQj+fuAXIoUrhH2yeUXhxddHbzZz/cXVjC1XuF837hVEcclSRHN3EIL2J+DIb33QAwpIKIrG/AWNoZZ7EWVFAulFNy9salXsQmpSKb2ogaIbhXBt+p2dbU8U7HWv5Vj4m5po+vBDAEqOPKlNVhRNgz2eowDoZ1vb4XPri0h0U7H/7n7jKdKpGqzX6+Xzzz/nuuuuC+0zmUyccMIJrFu3LuYx69atY+7cuRH7pk6dyrJly2KOX7JkCTfeeGPSuSiKxpp1HiqrFEZt8zO+ScNfZsI10Zr02Gg8O6tp/FCU5cv7zYwujxSs9RzMz02n0OgbFNpXYPmR/mlrKbR+j8Xkptz1M7vcq4F4/qdAWUUtXF5PkjTS5RrS5RpKpK8gA3yqnTr/MCrdo6nyjsCtFrDVcSJbHSdQZPueQRkfUGD9KaavStNU6ty78WgubOYM8u37xZxJZcOPfLv99Yh5xZtve8stmmw2Ss87n8pnn8b5/bfUPPI0BbN/T/bU9rXRM8kSY846iG+f2sj/qjxcFCX/VESD8tJSC8OOyAA8KIrGw4uqQwJKQxSZ+BvwOYFqTIS1wixE0FPxI068H3mpn5+F5+iOjxJWFC1kci4pluOanNel1HJPZf0GL5MCrfqsn3spvKwR8w4FzQLV87JoPDedzrpFNrz1NprXh23QILIPaNvftsk7gBa1Pya8KUcP7/MYUcQJ6VQBW1NTg6IolJREmi1LSkr46aefYh5TUVERc3xFRUXM8dddd12EQG5qamLAgAERY5atdHLdvLqQz+g5YDzw7XAL2aa2/6GqX/wINEgbMRzbgNhCozNw+Ir4oe431HqEUVGWPAxI/4ABaWtIN9VEjLWZgmlHiWNebVLi9CSLyU2J7WtKbF+jaBaqfYezyzmJWu+hVHsOp9pzOFnmnRyQ+RYlGd8hBcL7Khy/8GPdGjxKQ3hOch7DSqdQkjU0tK+y4Ue+3vYShErJJZ7v3pRblMxmSv5wDlWvv4hj3WfUPvkCSA6yT4x1veSYZInp1x3CU3//upVPdrEkSg9c9c9+IWH17acuyiv8EWUUbwPORhjGl+n2D0cI6X8Bv5cg50c/JWfV4zrGSvOVmfhGt31hGIvXV7qYN7+BHbqgqaA/NTpoKtiEIFmaUlWlitSkkndrC5lPOZE08A2QKb8/B8+owLw7QSH37Kikeb3o+Zo/o+0L350O4RIpsX6BxeRKMtoAMIKcktDro4htNhs2W+tVvRpoo/XKCkeocXXQZxS8bVz4joezVno54eQ06nQpAeXenNBjfQoAQP0PzTStERmLRUefiLUh4Otr0KXiNEVG4VqbdGUQ9X7XlrDvR/LooimiKhCpPoVtzuPZ1DwdFSsSfgakfcj+thXYTM3iTqxEXjNPK8Am5eDREpRVlHLIo7DV9aLRJI16fyUezYnNtJmxGZ/gTCtlh/c4drsn0ewfwFcN55PZvIcDMt4A7RW+bn6b6GAlj3ILX+1exqjiGZRmHISmqfy0axVCoH4C9EOk9yyLMd9bsFhyKDLvh6LzaUs6R19Eyo7Onyqp+hutmZIZZ1ArpdG49iNqn3gDpcZP9tTj4ra7g8iWd/p0ntJfDeOk2zJZc/sXTKoK35SLSmzMuf4AhhxfSIUf3LKDrYF2d3oBVYTwu8YzjB8G7K/BmpNsHPKOh7QPvKR9UIfjOBv1l2fgHhMpaPWeY30bOFkvbAL+wxUrXcy5sIEZmihwEe1PffThXKbrhGxhsZhhoiWQBIz8xU/xTc2Yq8R3svG3aWybny96uga+pg4tbDbXp+NU+8PtIfUpcvrWkAA7G3JDjz11Yo5Vj68CTSNz6OHk5B6AfUfkb8LWoEsXc4QLkGgeL37NSrlTFJfob1odrgKm88EmS9MxMIimUwVsYWEhsixTWVkZsb+yspLS0tjpEqWlpW0anwh94+plRN7ANIS/664bGzn2xNQLcTe+/r4ovTb6UGxlnV+hxeEr4pu6P9LoGwxAgeV7Ds16jnS5ppVQ1SNJJoaljeUrZ7CEW+sc1UPSjk3qo6r0beNH1+d4tHAksU3KYVjGEQzLrOGA9BVsdx3HDtdxtCj9+LrpAiRGIETD7cQKVvqpdo2IOnbvxuOvB05GCNjbgHMQhQCvIzJGdwWlRULDaKjbjNfTjNWWRXr6gW2OVpZMJgpmnIopLY36VW/T8PqbqE4nuedObZe5/8DjB7D/lP64vt1Bc7WbrCI7YydYMEWZWfOKhVDRC6jywP+JtMI6YOX0NKzXZ5P/fy3kvOIi4z0PGe95cI+10PKXdJwn2dvUBUpRNBYtaGr12wj6U/UpQkENfMIEKwPLTCyuUFkWI03pPeBbMxz2fyKA0DtEpmJxDs6jbChq54Z7uL7fiPv7jWCSKT5uRpuPr3SPQdHSSJMqyZNjW9cMYmBosAnp1G+91Wpl7NixrFq1KrRPVVVWrVrFxIkTYx4zceLEiPEA77zzTtzxiViz3s32ciVmZxMJcQvfVa7wxYbUYvFd5Q04PxGdYXJOPa7N82kr1e5DWFc1l0bfYMySk8Oyn2Zszr1CuKZAiWUwo9KPxSZ9RERZRekjRqUfS4llcMLjK33b+Mr5Ph5tMvoaqx5tMl+1rKLSswWrycFBGa/zq/zr2T99JSY8aBwJ3Em8YCW3Ui+Eq+II7A9aIA5AxOJ+S2S/mS8AMMtpfPzpUr7+9FF+/OZ5vv70UT5/8zZqd7e9TZ0kSeSfMJW8384EoGnVh9Q99mooMrutmGQTQ44oYMS0/gw5oqCVcAU4ZFwmxaUWbtGVUQwmUSXrmFNUbGLFjz5GfOzhYFUUsvAC9s99FP61kfzRVTguqcf0gy/OmSJZH/Cnxus1e50GO/aorF0XtrLIssT8G7N5AyGAg9+IzYi+tTcAh/lByZKouzKTrW8V4Tyq8ytLaT4f9S8sByBv3NFY8yNrDmuqSlPFJioqv6a+fgtalCaqabDdNQWA/SwfGLmvbaBbApy6qbhFe+h0E/HcuXM599xzGTduHOPHj2fp0qU4HA7OO+88AGbPnk3//v1ZsmQJAJdffjnHHHMMd955J9OnT+f555/ns88+45FHHmnztSsqU/MZVVcp5KZwvt3//RQ0DfvhB2Md3B92tnlKKaFpsK1lChsbTwVM5Fo2MzL3MexyY2TuQwqUWAZTbB5IvVKJR3ViM6WTJ5ck1fo0TeVH1+ckSpv5qWUNxVaR72oxuTgo8w1spv/wY8uJwHnEDmQJBFcpDhy+esRX8NrA/zcjSiycCnyE0O8KgfnIpjq27nwvMJ9/os+R3bj+KYZOOIfsg0e07cMBso/7Faa0NGqf+S8tH3yG6nRRePEZbT5PKphkiT/8cwBL/7Yl5LMdhTCMxzPk3wIU5knU1SnM/auI4A3aIr4FNgLHAyWNGsNe88BrHmoGyFhPT8N9vA3fcHPMIiqVAfNtst/GxRc1cOttOSFT8fRpaTx6v8aqfzbxbZ3GcMSyCMBrA8ecDBouyEDNNaF1Uaxn4//ew19Zgyk7i8LJJ0a8VrfjW3Z8+gY+Z7hwic1WwLCCyaFYgAbfATT7B2LCS3/LB10y5z6DocEmpNMF7BlnnEF1dTXz58+noqKCUaNG8eabb4YCmXbs2IFJVwZv0qRJPPvss/zzn//k+uuv56CDDmLZsmXtyoEtLREeqWSl7TKKbFTpfD+73LmhxzUtIi/P3+Sk4i3he8351XGY6i1YG8M3EH37K2tzpBSMKBUYke+q05wDjzVN4rv609ntPhqA/vaPOTTjWUyaXzjr9Hl5ehNxIs1L00S7rFBleeGhTkSdUhkwC8dPm3Grk6h37SLfHNDDZJlMqQX4C3AEoul6NOJTdzir2ez4jLCfdjPCPBw0Z48F7gMuAFp01vDvgT2Iv2hY2G/7agXjig8NLRwifLNK5I1e0j03+U3kD52A9Yw0yv/7NM5Pv6eq6WnUv5+Nyf7/2zvvMDvKevF/ZuaU7S3Zlt7IJqSTkIQAASQQqhRFQX4KXC7Y4hXBAhYQNGDhKlflilfFoAJWhHsJghAIoYRQUpaEZEnPpmzL9nLqvL8/3lPm7J66fc++n+eZZ8/OmfLOnHPm+357WPvyW3y6sdrddWWE/YpuEfnT6rRJX+mEjxTyhZ/Z+MvaQ6yoCX/+x5GVn6wt8O5HNmgXTYLv39UWYc71I7VHAVyDzKW9H6nzj632w3+2k/ef7fhKdLpWOPCcZse9yIFntg2cGnsPyu9kot/GzGbBF29tJv8uH+fk6GS+6eHGTW5ubgs/4VrKdbpuyqb1k1l0FgTugQCXpeVfpxmpyTab4eA662/vmCXf9UDH2NDrQy3hvFeA1kBJRO+xWlqf3whAyaVXkdWZAZ1ybO27drB/6x/pEQvgXsv248+wcOyllGXN4FDHuQCMc2zG7m+JeHaLgawxqUh7BiXIac2aNaxZsybqexs3buyx7pprruGaa67p83nPWpbB5HKD+2v8UX1G92uyPuyC0zPYlaCzWfOLWxEeH44J48mYPj3+xr3EFDrvN3+aE64lgMmsnL8xKXMjmkhRbe0Hwuk78XUct9kZsbbQVhYIrvomPXUyAXyIUxtDdeeHRGrHy5HhZ3cgzcJBLqOn2Pk44bIOgRxZ9wpaTh6kYGzvPpucOfMpLbqZut+sw1X1IXU/+i3Ft9+AkZOdeOcUWXJhEaedX8iH77biPtlJ/hgbP/3SQV5tMVlv2W4q8Beksf2t5rA59ynkXTpk2XYzMB6p2/8cOMUJFxoatjqT3Kdd8LQM6hE6+Mp1rq43WQTUIH8L3T+lVmR3n5XIeZ39gXas+Ip1Oj7ipO1jmbQvc4S15EGUR8I0aVz3D/D7yZp1Ktlz5sOx8Hv7P3iOuBaYpjfIsy+hziuDmyZnbFCVm1JFabBxSet2dYah8f37CngWuIrwb+cDpA9pPfCFu8ckLDMn/CbNL7wLQO7ZZw1I3mtIuHYtQcPH5MzvkWt7nJ5NzwaHcPpOfO9gOB1Iomk6s7NPJ7I/ZjsyVEcDbgBtIx5RQk/t+GpgH/Az5NzvMnp2Xn06sP6rwAZk0lUTAF5XEkVG4pBZMZOyNZ9Dz8rCc6Ca2vv/B9/J5j4dMxa6oTFrWT5nX16IrkNri8nzwCvAE4G/e5FTiYsC+8xFCtePI20D1s6jq4HvIu/OEuBiN/z5f/I5/nghjXfk0PkRJ/4CDc0E+zGTszzhcLJo8QmrkR17NMAONADHF9povC2bI/9bxMF3iqn7cT5dyx1RTdCDQfuGt3DvPYzmcFJ8+dURv8uOEwfwuE4S1wLjb6KqeTGgM8a2ixzj+OANPk1QPtj4jPg0nViYgSKJF1/s5He/KuQv32zG0SBoRfq9ysp0vvWdck67MI9WE+q8YTNVbWf4dWdrBp3b9+Ctb0HPzqRgxiL0NvmDtVvMZI62sCC0moShm1nYFd0s/H7j/+OEewkyueLjHO76Xw53BSJ2MxeHApJERNqA5VuWZHCOiFPizfqAKmQMTvJwx/QO3o9Ty6eAseExBY5dok9kYdZ57O56DbcIa6N2PoefH+M25yIDl6J9/QykVy9e8spdSC13lWW9DXdjHfb8QLchi+lWs6TYAGixuvH4NRx5U3DcuIajT/wK3/E6ar/3CGW33kLnzHDgjNdrMRFbyjZ2+sIpM13+sLkYoN0RNpF22sOvi2ztHKqRgUQLkNOI7pwe+LsDqbleRs/I36Dn+qsEQ8LgUKPO7Cuy4CwwECAEtnqTbY+38/xD7fwaqQW/i1QIvAQCp5DTnEsDx25HphPd/295XHxFFmYwyT/wlfNYPiOXJf3GahZu9kdOxKypOcfcYbPwka6wKfhwW3j9ycbIO2Puaqb5Ly8AUHbWZeT6iqABshrkd7GzNhj1Hs8CU0B91/kATLY9J1NzupuErQFRqjxiT1ShibiktQYb5LJLMvnzjdLUVzffxqN/LuRfbxZz5uq8BHtK2l9+C4Dssxej2/snwd9KVetHOeFeinzE/QgpQCwRu52vUOs91O/njYem6cxyLCRSEw3qS1cA65nlXBQzWKrUPoVzcq/i9OyLmZ99HqfnXsp5hV7OKlpLrlGJFCWx0qOCVXQSheDci1WHO3ToZerre18CMYizpIxxX1qDvaQEf3MLJ37+MO69h/p83FjkFcvvVKyR5yGnIl9FCsRYkb/fRLY8fTywrrik21aahq/EwL3cyR+AbUAFcC2ybV5G4P/pyHCzYKbo+7GON0QIn4+6Jx9HeD1kzjiFovk9MwzsGcHfdjwLzOcwySRHr2aMsSvGdgpF7xkev5hBwPma1BZzr81i2RnOpLuP+E4201X5odz3vNgdgHpLdccKDnUENbH/QgpXq0n0GeBS9nS91yO9YKApNSaxwHE2TjZhTZtxaq+xwLmSUtvkuPtrmk6RrZxy5wyK7LIhfKbRxPKChzG0e4keEm0iO6lC4uSVlYTv0/8Cl7J37wv9cp9shYWUf+mLOCdPxuzqou4nv6Zz28A8hGcszmdsmSMifSeICfxQg5wCnbcC6xJNOx4FxpcbLFoaPUVm8VIH48t17g+czwDOBa5D3tEfIf2/ZxNu5j4hzvEGm6a/vIjn6FH0rCyKr70u6iQvr3gqTkcRMg472l39T+ArAEyx/1Ol5vQWMYTLCGB0CNgOE9t7UsB2np2aBtq+6V0QAufsadjLihPvkAKN7hl80PKJwH/fAc4ipr9ItNDkr2WwKTUmsTLjMpY4VjHPfiZLMi5kZeblCYWrFSFMGr3HOeHeR6PnOJommJf7BnAmELwmgYwkvgJ4C7ueQ+yH4/2ERUCQYLDTSaqr36Tu2HaaT+7vk7A1srMp+/xnyTx1NsLro+G//0Dby/1fBF43NK66a4a0FWjdbAWBWIH/uL+Mz9wmqxklmnZsBW67pyDmJNIwNL56T36PfNagbeJZ4HvA24H3n01wvMGkc3sVrc/JLlbF13wCW35+1O00TWfmtAuJbYGZCpSQqTdQZtsyGENPS5QPNj5p64P1CyEXBI4tbjQfeCYYtE9yhmY/EakCnnCN2/oOaU4WpqB9k/Ro5S5dDq02HJY4Gmdr+FO2dVhaYXV2S/YP+VpNGlsP4jY7QExhd/PNCAzyba/Q4vs+8I0YVyN1E5evHfRwybh4/tQevqQkELGmhbpGoW6pD20KBP6ewV6W8YjAe7W+w+xxb+tZCSpzMQuzsvmgcykefgFcDkxH51PMzdXQDS/bm6NVoVqLTF6xdl4NIu/T/v3Phc/lKGL6nEsZWxbW+3RLyo31tTV9RwuVTcxg4pX/xomcv9P29ls0PfEMvtpGCj52KZqu0+iz+mPDr12+SB9sZ2Z4YtduKe3ZHvDHFp0zhut/6uCfD+xmhaVRb3Gpk3+/azozVuUy7TzB839qY22NJ2bOrFOHr/2snAUX5tFsWr6TlomKgWDpaiff/287D997khU14e2cunQ7/r/A/+PKDO67eyyLV+fSHDiEV0Ted6vftcPid23zh8ssNvojo7Fr3GHBWN0V9rVWtxWEXtc3Wlw49U58TU00/PLv8n4tPosxZfOhATIbwtfmbAw72PNs0zEmXs3uEy/j9oVjAZz6eHzmH/AD0zP+D83vDn3zI2IcFIkZKm1SCdjhg+MNKeDaU6wq0/7+YfyNTeiZmX1uSVfb/iG76zcFSgMawCYgh0z9Q6Zn/zdbW6CvhfmHG7W+w+xwvUqPPESxlu2d61mYdR7nFl5Ao/d/OOo+QY33Zkyu41DXmSwq+jULC2B36+u4TWvajg2pwXZvDgdhHe5h4DPyXJ61fLDtj5y66P9FCNlU0HSDsVd/HHtREY3PP0fbhtfwNTYx5qZr0fuxmMLcC0o59SMlHHyvibZ6N6WlGjMW5weqQrnQDY1Pfmsyv/iPvXLaIXrmzH7rZ+WsvCS52IJzL8rm7Auy2PGOi5N1fsaUGMw9zcnOrW5O1vkpLLEx/3RZKnGoxY7p8VD36DrMjg4cE8ZTcu5Hk9qvNH8WJXkzaeqoxt1aj1PPptnzGfa2FpCp11Hu2Bx2NisU/cyoELD2N6RGkKqAbX5VPrCzTpuP7rAn2Do2te0fsv2E9BFKQbMIWR6wgy7zIk66g2Es8SN2C42SXmmmA4kQJk1mnWxJZ2RTqJegabos5O/eStw8xK7XKHFOZYyjnDGOd5lgdrKj5WZafZN4s+HrLCx4lHNLptJo1uH2d+DUs9hxcgMe8w16Zm9aTcefRU5iwufav/ufjCk9NeW6xUE0TaPgvPOxFRZR99cn6dq2k7qTv6Tka9djK4pupuwNuqExfamMpM3Vez75T19dxFd/MYXff+8YK2rClpLycht3faeclRelNgkzDI3Tlkd2zQn+7x8mXTeFadLwxF/xHD2Gnp1NyU03oHuSf3Rpmk5RzmQ0XxFeM4PtjTLmYXrG/6Fr5hAlwqUJQ2WuHV6PwZikvYDVWkxsgSoSHcuTF7Cm10/L5ioAsk9b2OvzC2Gyu34TPQUNyMIKp3LY9S9kksZ6eha6vx94lgrHOQHhMNS6RJha/xH2eLbjJmA394JTy2OWYxF2LQO3aCVuHqJYQZOvhiL7OADGOD7kjKIfsq3lVtp8k3i3cQ2z8v7OpPzNoSCUU4vOZntDKqbjYLP2FbQ0HqRgTN+KhOQsXATjcml45DE8R45x4ju/pOT263FOn5h4535i+eoCTl+Vz+532mmvd1NUYmPO6VkBH2mCiikjkOa/v0znjkowDEpu+gy2oiJZIaMXHGo7D6+ZTbZ+gnKH8r32GWUijkvaCthgHqz+thtNgG+qQUuJM+KDafSFc+tqXGGzWlt7Jp3bP8Tf7sLIySWndAZaMPe1PXwAe7sl99Xid9W6wrmuTR2HA2bhWILmYqRg/QWyYF73SkayY49D2MHvj/S7xtNm+zPiOEonlFqzmkrf60Qz/+5wr2eSEez5Gj/m1eVrRwQSUzVhkkkNy3IeYFfXDZxwL2d36ydo845jdt5f0DU/pbZJLBxzCbubX8ft7246/gPRTcfyXP7mJux2D5old1XzW19b/LG+SO3Nmi+rF80g83O3ceIPj+Kpq6Hme79hzHWfwDwvXAvZ3U3D6vSGLSBtGRlRX7c6IjXJPFu4/V2+5XWOITXbwsVFlGvye1djAiZk6OHvod2S8Ouw1I7Uk9TZTMv31WPxu7rMSGuOS1j8y/7w9TT6wn7Xek9kHuuJrrDWf6It/NtrbLb4auuctL/9Ds3/eAWAsouvoSDvFKiHzLrwdz/jZPja7C1hrV/riOzp6up0cqjtXABm2P+G5g34XuO1pFO5r/FRAjYuaR9F7HhLCjv38hSjhzfL7L+cufPR9N7fpnDHmFiCJtPyfrCS0SuE6/lIM7VbDJ8G0EKYVPl2ENbKe6YVnfAfDWz9E2TRve6ad9CvnEl3DM3LvNx1zMz+O2BytOss3m1cg8fMRggTu55BRf4yKvJXMq/4YsblzEFqbrG008C5HL1v1t4de9EYJnz2S2TOCUQY//4Jmv70rAqS6Uc6399Jw5//CkDRGR+hYH7f0uT2dl6BnwzybQcoMd5Nej8hBI2ijhpxhEZRFz+4cJShoojjk7YabBDn23JG716WvIAVPj+d7+0GIGfegr6d3wjOyPcjzcDdCQrOYIBTMCsxyGZ5nCiCaKhoEvUBs3Bs86+XZwP/3xP4OwWZe3g1kX7lUqKhaTA160WyjRoq2/6NJu9M3mi4DSGuwiveDm1n13Pwmu1IAR/Hh+0YQ0Fe8qlFyaBnZFB8y000r3+e1hdfpu2F1/EcOsbYz38Kcvq/IMlooqtyL3WP/QFMk+zTl1B87iV9Ol6LewLHXLIgRUXO39CS6+pHnThGFTtx0xZa5ySXCjGXEm3g+0ErRjbprcF2Cew75S/Jc3ryQUpdHxzE7HBh5GWTMXlqn4ZQmDURh14Q410T+Cey2mvsnE8neRTqJX0aR38S1qZTqbQ0F1lF9wGC2ZYTbFOo8R2i0XcilK8qc2ZPcMIlc2aLHTtYPuZBHPoJPOY4vGIDspq0PK7XPAdZMfdzhH3Y1pzHjwLrmTntgl4HOMVD03UKL7+E4ptvQMtw4K46SM13f0bnrkP9fq7Rgmv3Qep++rgs4j9/HmM/eU2fPjshYPfJqwCdcucWCu0HktqvThylkrdwcw4R/ZA5h0reok4c6/WYFKODtNVg/Qi0HR40L/hKdDomGLT5I0vzWX2wJ11h30/7m7KpeubCOdg7I3P+ImoOd1r8Wl0WH6zH8hoYl3EHhzoXAG5ku7VTsCZXTHbM4bAnWuDO/cB6KmxngUnPFnNJ+ln72nJL0yPP4ww1SE/U7MxaaekZpLC7Gxs2NLLZ790hq0Mig6PKbBOp8VUHgqOC6/OZlX06iHXIak1zgFnIUvgHgdsDW/4d+DPwdSJ92Daml55NuXMGtMtocs1yP3S/5bU3/HPQfZEP9AgfrLfna+fEBTj+o5S6dY/hravl2L3ryL/8AvIu/giarnPS4pPtyg5P9lo94cC7RmdkBHCB0+KDtYdf59nCfsYsI7L9S5Ye/t9u8btaX+uaNSc28rP1W+bcprDWGA6P393NB2v9XTV7w5aWJk/4euq7In2wJzvC77U1hV+73zxA3e8eQ3i9ZE+fzYSLP43WaCOrNvI7nNlgyd09Gb4femv4Pokuuf541+k0u6dg4OIU+58Rbk+EKT/a70MIQZXYSbwo+Co2USzGDUjzjxGD8sHGJa01WCNQvcm12J50xw9hCrq2y5J4mYv6lvsK4Ddt1Li/IMfDQ8g+p5aSg5nnUpFxOgucK3FqkSUJ7bzMJKMCO45BL5MYj0KtGCd5pF5p6VuADx9uvJxHhFYgVnLYuwu3OKXb+rPZ0f4SHnEAWXb+MHLaMhMZSnoBsqruQWRJeqsP+38BHx5fJ43thwb8HjpKShn35S+Ts2QJCEHL//6Luv/6Db6mlsQ7K+h8+31qf/sowuslc9Ysxl99A5rRNx3AZ2bwYduVAExzPkuG3pzUfk3UB8zCsd0gblppor5P4xvpKB9sfNJawNq2BwKcFiXvD2v7sAZ/SxtahpOMWX3v+3qoZSUufxEZeiMLCt5lWuYipmUuYknupazMuTLUJafUNpmVmR9lScaFTDJmYScbL50c8e/hPd8GXvM+R61Z3efx9AeaplNhzCN6GbqPBtY/SM9KS7ORRpNYwVGXIdvand5t/aLA/vuQgvsPgf+/gmykdlbg/2cI+7CdSLMxVJ98l3f3/5FNu39JbfOefrgDsdGdToqvvY6iGz+B5rDj3rOPE/f9JGQVUUSnbcNmGn75JPj9ZC+YT+m/3dgvjTWq2q7EbRaQZdQx2fGvpPfzhKpPxHeDeFSVCkUc0tZELITAqJT2x44FdrxoEWXcAE56w2bhpk5p2qp5TQqxzIoKDJcTe2SfaeydFvNaVzgNQnNZoia8cr3XzORg83kA+MQ32Nr8t9Amx7QDzHIsDNf0NU00wGu6OOKvokf6C2up9K1nvrGCUl3mXCYy/Qph0kQDHtGFQ8ukkLG98mVZzxM8pin8TNXmcFy8ijsU0ATxKy09Tvw2dN9EavCvEQ700oGbgTVI8+9lwPWW/QqBPyF7wfwFKdifAj6BFMzfCmy/G7d3LTsO/52FpqA0fxYAmi/8eWq+8HVa03cADG94vIbHUmrRai72hF8XzVxGzhenUvvXJ3Afrabh4b/Q+eaHjLnmKtpLwt+7rmxLiktm5Pez2Rk2t+Y6w+UTs21hM3CWLdJEbH3PqYe/nzY9etlEvZsqYFragFlLIrrN8P3o8EWOs90b/r/FEzYXt3SFX7d3RLpnvC1yH+H30/LHZ2l98w0ACheuoOyCq9FO6mQ0hMeWVR8Zne08Gb4fRkvYLKy1d4Zen2yfwtEuaUWZk/kYus8SiR8rNScQIewQyblBHDE7Qo0iRog2ORSkrYClyY9xVP6IXHOSD3Bq2yYDIDJnz+rzEA61nYtPZAKV+EQt4WCfcL7oAsJdaYQw2ePZTly/j38TJdr4hIKyThylyqwMRz+KQPSjPp8SbUKvrqfHMQEHOUzT5pJFDg4tg53me3iIVWnpt4HXiYKjTnRbfz3wH8g84b/TUzhrwK+R9+k7yNQgkKbjLwI/RkYwBypI1bxCce4MmjuP0dXZhdOeQ2Fu/0YYAziKS5jw2S/RtPElGl95ic5t23Ht3Uvh9VeQtWT+6PbdAf72Dhr+54+4q/YDULj6YsoWrOqX++I37ezsvAGAiY6NFNmrEClkUBVSjJPc+P2QyaOQ/m0AMuJQPti4pK2J2LZTzt49Uw3MvOQu09fWReeHxwHIrJjZp/N7zUwOt60M/Lce2SI7Shs6z/aQb7DJrEuY/uKmlSYR3+9TJ45Sab4ZJfpxJZXmG1SZ2wL5fMn7JGMd08M5HBA7aaERTdOo0GOZjq9ACjxI3A+mvNv63YR9vbGEswOp+e5C+mWt556HjGB+GvgmLm8jG6t+yTuH/sjOA3/nvarHeG3HL6hr6P92dJphUHT+aspvW4O9rBSzvYOTv3qC+p8/hu9kU7+fb6Tg3n+Ymvt/hrtqP5rDSelnbqLwI/0jXAE+bLucLrOEDO0kM7P+lniHbmiaRgVzidcPuYI5o36SpHyw8UlbAWvsliZb17zktdf2ysMgwF5agq2goE/nP9J+VkB73QmcR0yBKVpoMuuA5NNf3HH8PkKYVJmV9PRzHkcKH6gWH7LVfIXXzeepE0djHivVY77nf4UPzZ1M1it69pBlE/OMs3oRHCXX2wmaVWMJ5yYgG/gHPf27TyNNy19F+nHB619JxOTDu4KdHzw5IEIWwDl5EuO+9hXyL7oADANX5W5OfPtBmv62AdPtSXyANEH4/DT+dQO1P/5v/CebsI0tYvwXv0T2nL4HFAY56Z7B4Q7pmjk1+/fYtN75SUu08cxnOU5epft3eT7LVR6sIiFpayI29kgB236qA1fAl9Tsj0yDsJZva+900vTeEQCyps7E1iFnpvaOyKmSLcIHGz01x+vWONR6TuC/+4H/iTHKgMD0dyA0E4cI+nMS+H1ERkz/axMNUaIfn0JqcJcBTxLh1zXXM19bHtds3CTqUjrmYXM987Tl2LUMPKILp55JoVaMpuloCCr9sVKSnkVGWb9N91Sl2Y6zqfJuxy1imewuBz4FfCHKFejI+s4rkIFRlxHLBL937/OUO6ah+SP9jBEpPN6wb9LqjzXcYW3G54rUbLxdGuCg7PSLyTt1EfVP/x3Xgf00//0V2l7eRuEVl+FbMTdCI+rMsvg2Lf7YDIc36msAp2FJXzHCPljDkmpl02NbLiJ8sH5LKz4z/LrLGzlp7fKE/+/qCvuUvR3h9XqrDU9tLQ1P/hnPYfk7y12wmOJLrybLlRlqC+xsDH+vMy0lEJ2NYZ8rgK057Gu1lkR0u+xUNn8GgPG2jYwV2xGB+Yvwh6872dS1Em08xWIcTdTjwYWDDAopHvWaawhlIo5L2gpYW0CD7To1+UjErp3S/5o1/ZQ+nfto15l4RQ5O/QRu8y9I/2G8NnTy4RlMf0ns9xkb89yeHlqwH1nf+DKkJhfFrys2Ucz4mA+NnhGViY/5odjEWdpqNF1H08PHLdUnMp8VVPk3RQRHOcmjzJhNjX8vbkseq50sym2zcOgZVNgXUhkzX/iNwHIzECkcI8d+krgmeO8KmtqPkJ/dt+9APBwlpYy75fN0vF9Jwz//F39TMw3r/ohj4wQKrr6YjNkzBuzcQ4Hp9tDy3Iu0vLwR/H70zExKLvs4ufMC0eH9FIgrBOxq/wxus5Bso4YKx+P9clxN0yhi+BR6GU4MlblWmYiHGOOQnK12nZqcidjX0IL3xEnQNDKm9j49xxQ6hzvOB2B69gacei7JVmnSNJ0K2wLi+n30eXEDnByhkopBU+prwCGkQOpdPl84UjLVYzZEPV6pPpGzbRex2DiPucYKFtvO52z7Jcy0n8bZzktZbF8Vmark2827rn9R5d3OZNtsnNprWE12GdprTM84LXD0bVHPGWlaTmCC97bHeL//0DSNnPkLGPetr5N/0QVoDgeeQ0ep+8mvqX3wV7g+2Dvia94K06TznUpO3P1TWl7cAH4/mafOZtzX7ggL137kcPs51HkWouFlfu5vsGmjx/Q+ZIghXFLk4YcfZsqUKWRkZLBs2TLefvvtxDsBf/rTn9A0jSuvvDLlc6atBqsB5lgdX3H3XMzodO0+BIBz2jiMjN7X/a3rmIvLLMShtzI+6x0cxjK2N3fXunYAXwPeYoJtfsT+pfpE5hvRNbwKYwUlxI8ALmRst+jHYERu7/P5ekZUJnlM0UWslqKaplOklSKQtY1rzCM4yaJQL8aLO3qqkljLYd965mecg0PPwC26yDCyKbTJesZHPftxm9G0f0G4JKWXhCZ42+A1ttcdDgouWU3uWStofvlF2jdtwV11gLqqAzimjSf/8pVkLTl10MbTHwgh6Ny+l5NPbsB7RAYNGgUFFF11BVnzAmbwtgQHSZFm92SqmmUT9orsv5Fnq0YkWW9Ykf78+c9/5vbbb+eRRx5h2bJlPPTQQ6xevZqqqipKSmJbJw4dOsRXv/pVzj777JjbxCNtBSyAd5Yt5H8FaDMjBWezpZRbx45KABwzp2PrDEsFa94rgNEV9gtpHkvvzUDu65EW+eCekPEauumm1D6FhVnnsbvrNdwiaPq0Eezbud9XyVHfISpsC0L5raX6REq08YGi+i4cIkPmsHbXFqNEAWtAhTaXShEU6hcF3ul9Pl8wojLlYwa06Vj+Lpn28364n6xfphL58RE3Vcm1iZUZlwU0eQMCuayzMxazvdM6mZmHtBTkAfeg0YXgIeI1BQAbmsuD0Rrp89O9Ft+71R9rKYFouMPH87oiPyvDMn/xdVl8tZnB1/k4L/gYRad/hJZNG2l9dwueA8eo/68nMQoLyFm5nJwzl2Lk5uByhk3guiMy98SwmdFfG5Z83zj2NdMMj81vad/n94V/R35P5KRVuOT/wu/HteUDWja+GvKzak4nBWeeQ8mi89AdToKGEkdLeAzOZutri9+1KXquK4DWFvbBujodbGu6EYFBqe1tJvICwgXCG9kbV/j9ltzwzrA/NebdUCRkhPhgf/KTn3DLLbdw0003AfDII4+wfv16Hn30Ue68886o+/j9fq6//nruvfdeXnvtNZqbm1MeZloLWN+s5COI3VUHAciomNbr87V7S2l0zwRMJmS8Hlpfap9CiW0S+9072O/ejhRQUYpI2M4KCdmghgep1xIu0SYwn+VUhYpA2IDvI0sH9i6fr3fHjO0rDqb9RCuoIYOdziS2+flZmsw6ioyyiHejT2bsaPwGwWcQ/BhZTeqLhCcKmciORs8jTfMCj7+TocJeUMjYj15F4UcuoOmd12h7/U38Tc20PPM8LetfJGv+HLJWLCBzXgWafXj8fH3NLXRu2Ubbq5vxB1KPNLuN/OVnUXj2eRjZOejtAyPGTGGwveWzAb/rCeY4H41ZFTVaHreTXCpQnXF6y1D7YFtbWyPWO51OnM7IGAyPx8N7773HXXfdFVqn6zqrVq1i8+bNMc9x3333UVJSws0338xrr73Wq3EOj1/oAOGrSO7yXA3t+Oqk/9V5yhToZZOM6nbZDqvY8T6ZRs8cx6OeA8TVzHybKLGP75cZdYk2gWLG00Q99eI41TxHzGYC2vKkoiJTOqa+IqavuGfaT/d78VHgV0gzencTf8BPGqM/bnAy0yTqcZudOLRMdrR/CS8eZADUvyGbEKyGiApUTuA64AmctpyeBx5kjJwcCi++iPzzz6dz+3Za33wTz+FqOrdW0rm1Ei0zg6xFp5J12kwy55+CnjW4FYX8bR10bdtNx+btuHYfCFVA0rOzyT3zDHLPXEGGLX9AxyAE7Gy8lmbfdGxaJ4vyfonNG93VUWtWx5zQVbKe+UKl3fSKIdZgJ06cGLH6nnvu4bvf/W7EuoaGBvx+P6Wlka0xS0tL2bMneunU119/nd/+9rds3769T8NMawHbNdPAJcJabIsv0rfW7JImzIat0pxlH1+OQTY2iwJj6+pmInZZzE6W1BzTC8c7lgAw0bEJrCkBfj+NvhrcooX4RSSepcmspTBexGIKxSGC0Y9FWgmFYqxF+5Q4yaPCkqIjhEiYjpDMMccxG1P4aBQ1FIixNGsN4WNqJRwUuxMUUv8WPUsmBgmatDMRQqBZu6JYgoIKjRIwoNF3Ai+tyAeqCbQAM4D3kDOpyYQnBk9i17MpohitM/JBbe2+olnSVDSPxQzrDv+cbN1MxLau8P++TIsp2fKV9GdG3mtfhgY4yZq6jKJZy3CdOEpb5VZad27D39pCx5tb6XhzK+g6GVOmkDFtGo5TpuKcMhk9MwOfEb4fwvI67gzO8vXS/OENRbsHd3U1rn37cX1QhftodUioAmRMnEL+oqUUnHKarCHcBfaO8LHsbZFPYWdr+ESO1vBvyt4SNgvrbeHPwJqKAyBcLg50ruZ45+lo+FngfJgs7xGEz/L7tLRArPLtQHXGST+qq6vJy8sL/d9de+0NbW1tfPrTn+bXv/41Y8fGtsIlQ1oLWNe05AKcWnfKYgsZ03vf+7XWNT+QmtPEGHvPYgVuEZTavS8i0Res2mc0AVonjlIlojSWZm7MHNnux+wUbRzlCAf5wDKrtWONNrGLLLwkuhezA3//Gvh7NlKTNZH+U506v6wZXWSUxI2q7lm84yJkW7upQEFgXbAYxUeBV2Mea6jJKJ9ARvkECi+7FNehg3Ts3kXnng/w1tfjOnAA14ED8BKgadjGjsE+rgzHuDJsxWMwxuRjFBVi5GSjZTjQ9J73zPR4MFs7MNs68DU04qtpwFtXj+foMbwnaiMEKoCjfBw58xeQP/s07IVjANCjGxb6nWOuZeztuAqAWc4/MsYWu0CIjGVIVCHtWZqoV+k4qTLEGmxeXl6EgI3G2LFjMQyD2traiPW1tbWUlZX12H7//v0cOnSIyy+/PLTONOVkzWazUVVVxfTpyWWapK2APQpcdOFJ/v1ug5UXxTf5te2WkY7OaZN7f75O6fObkPVWRL/NIE4tqKrEDwxyDkHx8DpxlErxFlHNZ2J9oGpNdCEb1GjrxFEOsNtyjP3Ap5Gm2PAxvXwf6euE6PfiKeBLgdf/HVgmA58NvLcdMKk2q6g2q3B682TTBGNS1PE5I9KWXMA7yEib7pMpqTl7zfU0uo8zxtn7ydZAo+k6mdOmkzltOuaVl+NtaKBr3z7cBw/iOngI38mT+Oob8NU30LUjeuUrzWFHs9ul1u/3yyIMPl/UbYMYBfk4J08me8YssipmYcuXJmDDNbhaX13XHHa1yWISUzJfZKLxStzt3aozzoAx1D7YZHA4HCxevJgNGzaEUm1M02TDhg2sWbOmx/azZs3i/fffj1j37W9/m7a2Nv7rv/6rh1k6HmkrYHOAhTUm3/1CDd/977KYQtb0+OjYL0sVOqZEf0gnostbwEmPrF08PnOzrMPQjUKjBKeWF6cSUSAwSCsG0X+dcILE0lBnijl8yC7ims+iFKKwmpPtwkkV1ubUAunPjFaI4n+RmuJLSLOs9f1gdahLkUX9g37d7yP9vASOGTkJ2OFZzwLH2ZTqU3pcd6FRilPLD9z3awNrY6W9yJQpt78DIUwaXUdx+zpw2rIpdEzt0/0fSOxjx2IfOxaWL8e0g7+tDc/xGrw1J/CeqMHX2ISvqRl/YzPCK60JwuNFWFwcIQwDIycbY0yhPG5JMfbyEpzjJ4cFqmfozKgnXTPY3iAjhsc5NzMz+6mEhSqcEXncqjNOvzJCoohvv/12brjhBpYsWcLSpUt56KGH6OjoCEUVf+Yzn2H8+PE88MADZGRkMHdu5GSsIFA6t/v6RKStgC0AnhZwhQaP3NfAovOLaPFHpum0uZx07j2J8JnoWVk4M8eidWrYusKfnuGK1EatqTlaIA3gRPMCQKfIXkWm1hDZCgvA70cDZtkXsiNmJSIZGITQYnfC0WKba3tgMefViWNUEl1DfT/kP01gPhN1IfNZnThGFZHCOvIYG5GFKJ6MccxvIbXYZ4ErkWUMZyM112iC/h9AEdIfG30SsMeziWJLlyEtYNLRgFnORexwrYdQ4YtYD9pM4N9p79rBxuZHcZvNoXectQXMLjqLsuxTwBf+fG3e8OuIlB1Xt3Z3lv/9GeF7Yu+0+Gad0XywgX0s75kOy2t75D6yq1w+5OcjiipCcwmhy0mR8PswPW5Mtxvh88r7petouo6RmYVuc4YmUprla6x3QtCyr3er32Bzhb9r1vgFa4qbvSPyd2RvCwt3oz3sd9U6LH7XrvB64XLR5J3O1tZ/x8ROifEep9p+DS4z0u9q9ckHXheIMaozzgAxEjRYgE9+8pPU19dz9913U1NTw8KFC3n++edDgU9HjhxBj+I26SvDc0reT+jANwWcOOFj1zvRUy+69sqiCc4JE3sd4FDTsRCA8ox34m5Xakxivu2sqIXw5+srKNEmxOmEcw6V4q2kivNbEUJYtMunkNP9/wM6gC8jza8Q9nt2J9J8FhTWkeO7N2LbZAtRyPO/j7wXhcjmAdEE/RtAe4z3LJWjzOjVqEptk1mQcQ4OdhFOL+puxheBY/2aA11fwW1eGLi+ZuBh3P6pbK9/lhPtH8a4puGPpmnoNju27BwcRWNwlpThGFuCo2gs9oIidGfGsA3yafTM5L2WL+MXGYyxf8C8jEeiumKioWkaFZrqjDPaWbNmDYcPH8btdrNlyxaWLVsWem/jxo2sW7cu5r7r1q3j6aefTvmcaavBBgk+yhvrfDCn5/udewP+1xTs6lY6vMW0ecej4afEuT3h9qX6RErsgSISohMnGQGzsJZE+kriusHdaaI+oGmeCcxEapZgLXYhORX4OT0bpYfNZ5HC2jq+lZZtlxNuNxffJCcfbg8io4X/ivS3RhPKyQlsN7EjbEptkynJnsgBz/vs90ZLL3oAOclYizRvXwtsAhYSvmewo+FFsBuU5fa9X7AiOepds9jWejMmDsbYd7Eo75fo7tTKNPXM45Y4yaNCdcbpPSPERDxUpLUGC+FHeVFJ9LlE14EaAJwTeteEvKZD+u2KHHtw6MkVKNA0nSK9lHJ9MkV6acisGb0TTpDk6gZ3Jxy4Eaxs9ADScHoxkTP505D+z6cse0eaz8LCuvv4zgamEK65HPz/fqLXYF4L5CKFfGfgbzBQJVpQTnmc98LrnUQvcSmESaOvhhrfIQqNUhZknhulnvEmpme9HBi7C3mPzgJ+CLxF+D5dwI4T/8e+k29wovUDGtsPp9RXV5EaJzoXsrXhFkwcFNsrWZT33xha72oglmgTOEtbzWnaOcxlKaexkrO4QAnXvjCCahEPBWmtwZrA/RqUldmZviSf/a2RD+D2Vg3XESmsMsdMxAiUsLP6YG2uSH9qRHlEn5/agIAts70XisIU3XywEUXbLQ/j7hWaenbC6U63aMckisHbcSI/5ouRgUMzidcFR3b++QiyyXnAN4wsROERsaIxDeA/gY8hNeWLkK3j7ie6v/k5bDjxhfq+BrXpWNWhzkSGrcWuHAV2CkQRBO6pCGxS6z9ClXdHuBwj4NTyqLAvlPWMNTdOLZNCo5Ra8zDSf+xGmhM/BnzCcq5wkNb+ky8QtAA4jQJmjzmb0sJw8JTezQerW3JkDaclX7bDUoIwIzKtzOpftfpg/fY4PljLIYRlCCLWVLrbV8jq29Itckz3WeISuvlgDbelFZ4lb9zotLTL64oUinpn+CBWXysu+VoIONByLh92fRyAUtsW5jn+B93tl8/XWH7XeFXPhEADiiiOnwusSBqNobmVI+XjS1sN9m3gSk0+Jj/97fEYRs+PxFNdB34TPTcLW35Byufo9I2h1TtRmocd2/s65CidcLqTerSjhoYUBN9E+jIPEa8Ljiy+UEi0xtI9u+p0ZwxS2/suwbq+sgRhWFO08wrzteWco13GVE5F/lQuQmqH6yBUHcqqXV+F9ME+hwyKsr53JfJT9tLMyYjR1PqPUOl9HTfdmquLlVR6XsMr3JTbp1FkK0fTdEsq1eNIbT6avzUYpOULjGczbv9ZbK97ltq2qhj3RZEKptDZ3fqJkHCd5HyJ+c5H0LUo4fkKxTAmbQXsBcD2Mp2v/mIKy1cXRN3GfTAQ4DSlrFcBDrVdUnstdO7Hofe9xVmwE07C9nYpRDtG9nJNzpc5gelRzWfBrjo9xxdMrzmDSOF3ETJn6V7gtwDMZE4oEvo41YT9ucuB64G/IQV4pFCW/IFwUFRe4O/OwPrI8olCmFR5d3Q7fg5hbf1S9ni2R5h3C20ypQd+E1gzLsZ9CnZAao48Xt0mZS7uIx5/Du81foEjnSsBk4qsPzM7+y9xGxQohhBlIo5L2pqIH360kLPOzWCHr5RghkCbN1Lzcx3YC4B9wviIbic2S2qO7u42a7Z06KjtnAcgtVerWbi76TaZYv3CjNIJJ0oqD8uleSTJXqGRWmdywUcljKdI61nRRtM0KsRcKrGOL156zTNIDXMd8HsgkJMoBE2iLoY/9+rAsR8B1nAKC8ghn21sAqYD+5BBUScC13M20l4BDuEMmeebqEtcvUesoMl9LNw0wDACKT0bE9ynLKRJPOi3l8dz+VbQ1LifMRkToFshfmsKj255Tzgs5mJ7NxOxI/y/aQ9fg2mz5CPbIq9NWE3Elkb3MU3E3bAqiZo//B2L7CYUOYmw/kY0y2trIJLm6mZXdof/D+bjNnunsKP533GJIgzczHX+ilLtPYS7p9slplnYOsEZ4f10RwIjJU1nqEhbAbt4qVOaheMUp/EckRqdfVLPclmJcPtyaPbKaj8lGTugn3o7x4121JZTQmoBGZG9XJ8iHHz0NL3JByzRxjNfLKeKyPFJ/240QXYXUtP8WsSxPXGr6xjAZ4A1OLUMiijBKax5jOfGGHe4bmjP6j1+IgXzQgBO+mtwiy7ph9XLKbVNZqIxi2r/PqL7fAXSrH07kdPoQCSzaSnAq0gKIeBI17lUtV+NwEa2foKFOb8k2394qIemSISKIo5L2grYRAgh8FTLCGLHpHKZFpoC9R2zAZ0822EyjeZ+HVvcusEpzsojtc6rgVuRWl0cDTmBubxEG0+xGEcT9RziQxqpIXHO61tUcEbo2I4Uquv07EebuHtPZPWe48AdWNNtgubfg/6docpbTm8es5ynUWqfTLV/D8TsFuRDphVZq4Ptl8fQs2PcB0U0XP48drZ8kgaP/J6U2t9lbvY6bJoLoVyuihHOqBWwnTXtiC43GAb28mJpeUwBKWChJKNyAEYXrvHbH0TXOp+HJPIBY3XY0TQNn/AGhCskEpTTODWqPzfZ6jpxNftAkQ4rhVoxTvJwswbYioycfpKwoFyLFLxrkZHTO3GLtexwrWe+c2WgvOIMwv7gILnAo0QKV4B5GNo6sm0fIgOyFPEQAk50ncbupo/jFdnoeJmZ8w8m2f4Vs5+rYpgyQrTJoSBtBawXHS86HWa4fVGrxQdbWxUwD5eXgM+BLcIHG/7GaN18sJrXhyl0TnbOAGCs7X1ZLN2iWfbwF8VKzUk2IKYffElWrdODCztONLS4remilUR0kkuFmEsx4yxFJ3YR3+ycy9RulaKi+3MjtdKZLJPjFXKMxYynWIui2aPJe2mtFSw0ZmpzeV+8HRijdWzWtKTfAN+IWFfl3kSFfQGV3teAZcA5QAlwEilc1wHjA+Pdi2zYfiZ+cQOv1biZnPUSU3Jexq5byv55LT81W9hRqrnCr4Ut0ger26zvha9NGJbtukXHR/hdDcv9sG4W5+ukWdosapbvqmYpCan5un1vLXEJmuW1tZ2jte5xp38Mu1s/Q4NXxjDk6YeYm/kbcvTj4PaGhif8Vn9q5Dl7/MZCb6in/WCifLDxGdAo4sbGRq6//nry8vIoKCjg5ptvpr09/uz+3HPPDWlIweVzn/tcv4+t/YCsS2sfV5pgy540uyfjFxnYtXbybNX9PbQBQ9M0irQSyrRJCbXj6CURAyUbeYsDBHu6fhsZ8BOsK2yNIv4o0uw8N6rZuUQbz3yW4+RVupeOnMwpfMgutopX2Sm2sFW8yuviBeo5Fr4GrSSuOduuOZHm3NiBTnAQ6ZsNr3PTSodowU42sAV4DPgx8Ht0HNi1jZbxLiZDu5QZGf9BtrEHP04OdF7Kpvr7ONB+IT7LBG+0YwobBzpW88bJ79DgnYeGl+mZz7A0ey05xvGhHp6iN6go4rgMqAZ7/fXXc+LECV588UW8Xi833XQTt956K0888UTc/W655Rbuu+++0P9ZWVlxtu4dbQdkzqR9fOoBTie7KgAY49g96OkDyTRFT0Q8zbREGx+nJGJYyzvKy4F1cwPr/4b0c1rNqTYmMj1upZzumrWDDLx4eJ8t9KZ9npVkC3eE05fC6/b7KuneuQfWYrKeeRlnyiIVZidOWw4e08Wezt/jFsFSk/fhE3PY234FhzrOZ1L2q0zOfR2HkVylr5GIECZNXUdxu1twGjkUZYwPKc1CaBzvWsq+jsvoMmUgWpFtN6dmP0G2UYvwKWerIj0ZMAG7e/dunn/+ed555x2WLFkCwM9//nMuueQSHnzwQcaNi5VjKAVqtEa4/Un7oUYAHL0QsA0u2ZpujH13v44pEYkEY7LHiNVZp5L1zBfLsWFPWLLRG/KDBn2vwfSaYKRuI7CG4pi5pGGs/mYhBK/zL5Kpxwx0m2yEm68LYVoiiRPVRC6Psi54vijnd73Gytyr0Gw6tf4j7Oh4me73U9ZYvhKvmMH+9ks51LGK8dlvMTlnE1nGSRpdx3D7O3A6cinKmDBsW+ElQ21bFbvrXsXtawqtcxqFzMpfga5dwb7WS2jzys/LqTczM/tpym1vKl9rGqBMxPEZMAG7efNmCgoKQsIVYNWqVei6zpYtW7jqqqti7vv444/zxz/+kbKyMi6//HK+853vxNRi3W43bne41FprqyyJ5xYGNqHTaTpC77V7pLlO+E3aq5sBsBeVo7kMDIvf1Vr6TbeWRgS8Hjstbtk3dozxAQT9RFafUDJ5r/GI4kdKRjAmErLJaKZVbGIGwUL28TU/Gxn4YgYp/REHuSm3AItd7xis7fMOig84RnXkZEPkBrqmYOl9G6v8oomsyzwVQiUbg2UXbUgBGf38LrGCRtdRCvUSdruDPt7u93MpcBV2xpBh3EObfzJH2s/hSPvZ6LyIyUPAC4DAqRcwO285ZTkzu50ufH7N6k/Vrf7YbmO0Sq1kJFj375rlf6s/FtPy2qJx1nTuY/vJ5+jxvfS/zo7Giwh/VzqZ6nyOSY6XMDQPePwWX6vlt5NMfmuia1AMHipNJy4DJmBramooKYn089lsNoqKiqipqYmxF3zqU59i8uTJjBs3jsrKSr7xjW9QVVXFU089FXX7Bx54gHvvvTfqe7Fw1bYivH40uw1bUWFK+za6ZwA6WbZaMo3GlPbtLckKxmIxLq65OFnh5UlS85vENA6EgpRWAL8CwrmLgizqOZ5S7m59ktWmDvAB0ZqvV4pnkRE9wQf+fuDT9AykWotMw1mLbDgQ7KizHvnrXRD3/G7RRZNZh1vEK2ZxJ15WsCCjFmFcwIcdK2jzL8VkNbAaKdCP4TbvYXvzOhYaOmWZM5K5TcMCIUx2N79B9O9l8HvTytSM15li/yd2TeUIpxtKg41PynapO++8s0cQUvdlz549vR7QrbfeyurVq5k3bx7XX389v//97/nHP/7B/v37o25/11130dLSElqqqxMHHXVVS8FoKy5GS7HJ7klXwP/q3JvSfn0hOcHYs8uOEIJGUUeNOEKjqItSfKE7cr0DZ1IlG6cym/ksx8ZLhLv1hIOcvHyESt6iThxL6jrrxDGqCd7XncgE1Y3I9JqNgf+7m3CtJRCfCrxOXH5Rao9ZgXFbyy5+13L+aAQ692iZltKMiZozdDLGvguPuBCZhxx8OujARGRkciU7G+fQ5cuNcazhR6P7OG5/OzIALNrv6AgwibH2/1bCVTEqSVmDveOOO7jxxhvjbjNt2jTKysqoq6uLWO/z+WhsbEzJvxpsirtv3z6mT5/e432n04nTmVqkZtdRKWDtJamZLwEa3acAMMY5eI2341c9Cq8PbxfdX2vH2kwgtmbqJFMWdoiTQhMsSFEsxmGwEx+r6It2Haml70KWX2wgsjjEFKCI2CbcWI3ZI8svyqjnDch+r/8KnCdYdtFECozYnXuc5FGol9BkBr/fCe6nlkWTtwa32QL8G9F7gczFJ37EqzVQ4DhAccYHFGftJtd+fNj5Kv3CRqNrBgfbLkRaLcbE2LIQaMFtdsriXIr0Q5mI45KygC0uLqa4OLFgOuOMM2hubua9995j8eLFALz88suYphnRST4R27dvB6C8vDz+ht3wCgOv0Gn3h3NfOzzSH9t6pAUAR1ExhivYoi68r2HNfbXk9bl92bT75DiK7FVgbWVnxvYRJeVLiuNHSqXqEcT213r5PlJzS1zcQdO0qCURuxekSNbs3ER93NSg8HG+jdREf0z04hDBsUQz4cYzL4fLL0ph+m2k1no38JPAPm8jJxDBzj0xJhe2s8CEAjE2UMwizv3U8ikwi6jxBk3nsSZJLmRBjBU0e6bR7JnG3tbLcOrNFNk/pNCxj0L7XrKNWjRL7muPSUssaWy11MT5rhKRz20GVmm0+8fR6JnBSc8sGj2z8GOd1HoABz0JfC/9doS/Wy3RGL8JVVd4hKEEbFwGzAc7e/ZsLrroIm655RYeeeQRvF4va9as4dprrw1FEB87dozzzz+f3//+9yxdupT9+/fzxBNPcMkllzBmzBgqKyv5yle+wsqVK5k/f36CMyaP+1hAgx2bYgBO5zQAcm1HcegdMT9jIUyaRH2oxm2BKOpTlGgqVY/i+2v/Fxl88yzRhcezjOdUaqnGITIoZhzFjIubFtQb7Toa4fdnI8sQXhZl/M8gc2tfAHYg+8RaSa6ZgdwuGHyzHZ8ltchBLhO0uXiEmxO8iL/75MJYQak+EQBN0wMFKWJr+rMcK7u1wos1tm3AmSzIuQGvuIB671waPbNwmwWccC/lhHupHK/WQb79CLn2o+TajpNtqyPbVodd74pyzNTxCzudvrG0+cbR5hlHm288zd5p+ERkkKFTb6LYXkmt5yd4BcA/iDXBKNRL+h74pxiWKB9sfAY0D/bxxx9nzZo1nH/++ei6zsc+9jF+9rOfhd73er1UVVXR2SnzAx0OBy+99BIPPfQQHR0dTJw4kY997GN8+9vf7tdxuYICNglN3EpjpzRRFzli+19r/UfY490e2eCbXCr0+UnlbkYjmapHQZNtY8wuNQT+/znBFnBei/CwkYlGViB4yDJu4qcApapdJz7O40iz8JMxxv8tZCDSV5Em4VQas1ujhmUHnvnaMtB0PKKLDto5Lg5zQOwk3AReYiebCn1uSLgGKTUmMZ+zqPJuitT0tXxmOVZSapsMQKFRglPLwy1iT5Iy9AJKnXY0bRMTMzfhx06zdxpN3pk0emfS4p2CT2Rz0jObk57Iylh2rZ0Mo5kMowWn0YJN68Suu7BpXWiaH00XaJgIdEy/Db+w4xcZeMwcPGYubn8uXf4xuM38qJ+PobkosO+nyL6PsfZKco2jaBqMdXexve0lEk0wBCrXNS1RGmxcBlTAFhUVxS0qMWXKlIgSgxMnTuTVV1/tl3NLE7FBpz9sunJ5bZhuL94G6ZfMyB2LEcjwMdyW9ASPpVycJSWhsVN2zymyVyH8ZmR5RCFCDb6jptKY65mvr6AkibzQaMTqYtPdZJusRjmTU3GSiQcXHbRzkN3Rx50gBSjVmsKxCB8n2Is1cfOA6JHB1sbsd9H9gS8DnrSIcWlo1HGUg2IXcBrSVHtxxLG9wc8QjVLDImT9UMp4SmzlNHEy3JnHkDm51hSUClt8bbfCcU5EqUBd91LETopsO5lh1zCFQbs5nhZzCm3+SbT7x9HpL8UtCvCKHLy+HNp8vZvEWbHRSY5xnFyjmly9mjzjMDkcRNcCvwuvAK98xpVQzgLH2ezxbOr5vbSdRYkYj/D6epY67KPbRKEYCaRtLeJYeGpkMrye5UTPSr7zicefRYdXllUssPeMaO7Z4DtKsI+5iWKtvFfN3SF61aPuJttkNUonmRRpJckVdogTpJSKdt2d7lWpZjKH93krqfGXMZmmHi3zcpHmZZ2eVaWcyJKH5YFxrqdCk+MyTZPdbEf6dY8jzdNPR78X5iZK9PE9TP6aplOklVpX9Bh5stpuLHTNT55xhDx7ZKS8Tzjp8hfjEgW4RSFuMx+fyMIrMvGJTISwIdAQGGj40TUvBh4MzY1Da8OhteLQ28jUG8ikHrvW0WP4EXWBo1xXScYEmsw6XKILJ5kU6sVoYphFZyn6HU0ItCGYCA3FOXvD6BOwJwIVnMaNSUnQNbvkwy/bqMGh90w5aDLrEzf4TiLYJxHxuuwENWpZAOIryChZu2WLnhplKkFKCKIK9mS1ayuxqlJN5BSqOUi8KF6wcyqL0dBoop5G6jjEHuCfhP2yPatKySAnS29dbQJ14ii7qcRLF7A9sO83498LUR8pTFOg1JhEqTExkEPbhdPIplAv6ZOP3qa5ybUdJZejkQ0PkqG79thLX6mm6RQZZRFWHaWBjgKUiTguo0/A1gQEbFlqBSaCArbAfiDq+26SzYmMH+zTW3oKrLeQKS3fRAqX6BplsiblSt7GZxm7gxwmiElkkRPodJM4IMo61lhVqapZz1jKaGA9MqDJWn5QBmJNZiZ6QJAUUYJHBMdljSw2CDdmbwPWMIHplGgTKBBjaaaBKnM71eyzjGM3Mo0m/r1w9/EzDAojIDK6V6EYYaggp/ikrYB1CzuGMGj3h9MJ3G4brmMyRUcvHhNK0QEwLH7XiPKIAR9aSMDa9oHpj3gPwCl6EezTTzP8WAJLaoHfDCzRNcpkTco+FgI/DRz7F3hYm3JAFEgtezfxTeltbGISMznCv5B+0yB2JjOTU7TIiPLwNfwemXsZzGkNJl/KayhhPD7h4Q3+hVsEyyhax5FcBSuHyIj0IYawtHSLYx4VVi3TanrVo5nRTZrMejwEfLvdtd2+Cuh46WWxvp/drz2GD1WVOlSMdtJWwMbCWxuIIC4tSnofU+i0uGVgS4EtugYbbvDdt2CfVEmclnMFdl5mLospomd7t8RBSmuRvs2gufkppMC+DKu/NdmayAfZjZdOEpmkx7KQGcylmn100UEm2UxkRkhzteLFExjbFy1rpyALSlxJ8N5Hdum5OLC9dRxnB/aL19s2j0LGxry+/qTWf4Qq745uEel5zHIspNSYNChjUCjiokzEcRl19ilvTeoCtt1Tjl84sWldZBvR6yhrmk6FbQGEgn2sfVGDQTVzeh3gFItkfKheOtHQYgcpMTfuuKUgtSM1tDsIBwFZyxQ+A1xKFbtiaj5CCI4QnKAkNqXrms5kbSaztEVM1mZGFa514lhAaK7uNvZ5wMeReb/rmcmpfMguwhORoIvAOg6D2L1trZ/hwP9sghHpblYS2Y93JTs8r1HrPzLgY1AoEhE0EQ/FMhIYVRqs8PnxNUgTsb2sCI4mt19zoHtOvvNI3P6vpfpE5tvOosoXJdhHS66Haar0R6GHEm0888Qy3ucFiIjKDQbyrAn8fY34OarxA7maqLf4cfuWNwuJtPenkT7cfzGPZdhxdJuIxCpKcTUyledLWKOQ7WQze4A+w+4kE5G+x7OJkowJaKNvjqwYTigNNi5pK2A9wsAmDDp8YR+s60SH9DnZbYjMAnRL9baIPFivJSne56fZJQVsgf1Qt7Z0MXxP3T590aNgfv/RX4Ue7DgAL/AwYT+mH1hlOXZynW5iCfNwIFgxscs1rsVOVlKm9MTauyxKYccRZSISNAdHG8eVwO8C4/kecAszmRMWrvH8iQQ3iSf4LC3ZhEkTDXhEFw5NfkaN1CUVkd7oq6XI7F00s2WgSW6W5BMtyeMpv6tiNJC2AjYavrpAF52xhSl10WnxyACnfMfhns1lLNSa1VT6ehaa8LCWSrGe+fS/BtRfhR7CAugzSLMvSEEwhbBPMrlShNGEeZ04xoehoKh6pKYcLUp4PRM4NSlTeirae8+JSNAc/PEo4wi2rfsbwWt2apkkQyi3V7hxaJkUMjamSblOHKXKrAxHfovI6lEJo5lF/5RHVCh6i4oijs+osi/56oNt6pJP0fGamXT4ZEpFgeNQzO2EMKnyWc16UfyTIrZ/srck40OtILHvN1IABbH6JK9Azscmk6iNXXdhHoxy9nKeZXwPAK8S2ULuVWxkMo3IMoCpjdlKWOAHJyKRY78a+AvwUrdx7EQK1ytjXlM06sRRXhcvsFW8yk7xFlvNV3jdfJ460dMXUSeOUmm+iZtzkPdCQwZebUZWokp8XckK/dFI91aN/f27UwQQQ7iMANJWwLqEHZew0+F3hBZfTTMAtjFjEG4Dw0148ZihRfP6Q0uLS0bEZhoNOGiVJRKDixChpcmsTcKs10qTqJPmsX78wZdo45nPcpzdBJaTTQGtOXHqDMgCFfAVpKk4SFAIbUSaVQ8T1j4TC/OeftLgxONOZAGIM5Am6eVAG6eyMOlAsOhCM0gwAtrGTrZSz/EYE5HxwJzAPouAXyBLJVoqPjFHNpgLfm5RljrzKJXirYDAtAYlnUOl+SZ15hFpPhUmwvRTZVYG7slTyJZv1sCxCwlbDmJPZArMIoTf37fFFLEXy3bBsSdeYt+jiGUAqRPHeJ1/sZVN7ORttrKJ1/lX0n2JFamhApxiM7pMxA1BE3HyEcQtnikA5NsPxd0u2WbmA1VoIpkyitFIrkDFY8gav/cCpwB7kT7KcBBQrKpN8f2kdqSGvAI7lczmjISTASuJyzQ+B9yPhzdkChHLmU/0ilNlzKSGfbhZQzCoK14lKivxg60CJRbFJooZj6Zp3e7JG/QMHLOar6Nd13oq9BX9Es0c6QOOb9IeCcQrYpJMGplC0Z+MMgHbBKQoYL3S/1pgPxx3O2c/BRv1hXhlFKORbIEKqU39HanNBvkWsm3cpUxhFtNjmKGTbz4Qv0hF97rFwclDrDKNsmvO3wJjNgnWVD6LC2JWnJoh5qU8QYHUe+JG3pP/i3F/gtHMt9NjIqOv6Bdffk8fcN87Pw0lSU104tTVVvSCQbBIxDzvCGCUCtjkfLBChAVsviO+gB2qQhO9JZkCFQYv4ccF/JGevVcNgrmk0QpYBEm++UDsiUesusUzxRzsODDxM5Ep7ON9pJa9kshKTt2EnFYSdSKS6gQlSKqpUpH3JF7g2NVACXA2U7RTKdJKQ0UuGkWd1DpxItDw4kpJAw36gAei89NQkepER9F3VJBTfNJWwLqFDd200emT7ep8XV7MtnYA7Hlj0Tx6RGqObimVSKBFndubj9vMR8NPrn5YdhSxpuZElILTqNDnUWnG6SqjLUdjeMyck3kY+XkWO5l4+QG9nTT0Nco5tslvDe/zLpFRtyA1vhx6MnAm+qRTpYQTEBSKsZZ78hTxq0f9ECd5TOdU2VZPHKVKRE42Qr1rgxqoNjeuBiqEoEoEfcBJdn4aARpDf+SEK1JE5cHGZeQ6W1Kkq1Y+kLSMDPSs5KIvW93SZJlt1GBo3gRbQ4k2gfn6iujBRoNUpCBZkn0YlTGB6BHKHwWepYRSmqiPGaXZlyjn2AFSx5GBSBdZjvdwYK/EEcX9TeJgq8hJROQ9uRq4lXCkduwKYHUieiCVvA8a8IAMqhJvRY1cDpKcptcqOyiNIFKJKlcoBoO01WC7ExSwtjHJp+i0uqSJLM+efFm6Em0CxVp5r3x5g0myWlcx5RQyNoqPU7bBq2Yv1eyVmpOI7kftTTs7iCUIupdrDK7/LPBjYhewSN1EH8vv253e9MSNfk+ehxgVwKTWGc+/eCXwP0AVcHVEUFV30lXT66+ccEXyaKZchuK8I4FRI2BdQQFbWJD0PkENNs+WZE3FAL315Q0mqTyMNE0LRSjXc5xq9iNr/yYfpdmbKOfogiBWucZ4hSPiN36PRiy/b18mEd0FdjHjKNbGh9bZhRMN8GjuHvcnsdZ5F9Jq8gaJfI2xJ1d+5P19FQC7cDJMPBpJ0ZuJjqKPKBNxXNJWwLqEA03Y6PBKH2zLCVn1xpZfiO6WPzDDHd5e91hajQV8sG0BDTbXOBxuUdcbX9Qw9F+l+jDSNI1CUcwuttHbKM1UJx7RBUG8co1XA38AbsTa5i7ZdJsgvU31iDeJSEpgR3vuB747nlDVpvhap7w/l1n26fndi/QBBz/Hp5CWgUOh7T5gGxVm4haEw4neWksUvUMFOcUnbQVsd9x1suWXraAgqe09/ixcfrltnlE9QKMaWlJ9GA12lGZ0LTtRucZpgI9TmI+TjJRN9H1N9Yg2ieiP3MxkTfry/sT3NfacXK0IjOsypGVgZOeO9jYnXNELVJpOXEaNgHXVBUzESQrYoHk4U6/Dpo8sX1QqpPIwGmzfXXQteyEwjkS+1kmc0qsHan9PIvorNzOxSf8BZO7vmcDVCX2NwcnVHjbi4fnA+J7u9fiSJVm/dl8ZCW4aRfqTtgLWY9plmo5XBuMEfbD23EJ0j/xB2yLSdCI76LS5pKaUZxyJ3UEn2c4hw5xkH0b91bknFWIXkjjOQPjZ+nsS0V8COxmTvpx0XE2y96BEG49N2NnKpj6PLxlS9Wsrhj/KRByftBWwVoQp8DQENdjkoohbPYEAJ0M1tg4yVFGa0bRsLx4+7Ec/W1Czaqc1sGYHPYtrQKqTiP4U2LEnGzakr/WbKd+DwbJKqBKGaYoKcorLqBCw3qYOhM8ETcOWm5fUPq0embOaa1MCNshQRmlG07JLxPh+MTdG06xkbunvkFHJQVKfRPRG649nRo022RAIvPSMPB6o8aWKKmGYvigNNj6jQsB66qVWYuTloRlGgq3Bb9rp8MkHaLoGOCUi1kO+mHFMZTbVvIxviKM0+8PPFr8e8yeQZtdg04PUJxGpav3JmFH70784GFYJVcJQMVpJWwHbadoxTTsuj532E50A2PMKMVzhB6NhKY+oecN+1lZXKaDj0Ftx0hxRnMdasUhElEpMD38sxH7Il4lyajgRsd5GBpOYxlRmjzjtI3E95o8CdxNsetCbSUQqWv9QmFEHwyqRroUtFKgo4gSMilKJ3gapwdrzCpLavtUb8L/aUyswkQ4EH/LR+poe5kPczIxY72MVB9hNPceHcti9IrFm9S1kreMZAMzk1F4JuGT69cYuCxk0o15KFbsGpHF4X/sJJ0KVMExfhqIX7EjqCZu2GqwVb30LIItMJEOrN+B/HWUCNhlfGewCTkdWTorvQxuslIzekqxmBd8F/sSHbKJERC8/mIhE6VBDbUYdyNxRVcIwjVFBTnEZHQI2oMHa8guS2r4tIGDz7Md61m5PY5J5yEsN5zXg3Ij13R/+IyElI/niDePpDwEXz3fa32bU3kxuBip3VJUwVIxW0lbAdpkOTNOO22vDXS8f8o6sAnRPeBvD3dMHawqdNm+wROIRhMU3G9gg8clHiH+gO8lrdCeirg/uP1JSMpIv3nA2IP34A+Un7M9o3uE4uVElDNMTFUUcn9Hhgw2YiJPxwXZ6xmDiwNDcZBkjq11XX0nWVxYuVxi53kEGQgj28D6wDLgWcAGZDIYvMVXit9K7EtnZ5kGkOXxg/YSptryLRTwfeiVvUSeO9Wp8QggaRR014giNoq5Xn1+JNp6zuJDTWMlclnIaKzmLC5RwHcmYYuiWEUDaarBBhNeHv0U2WrflJfbBtnZJ4ZFrO4qmiZFi6u8XkvGVhTW6yPXBh/8Bdge0vLcCC8iG4v+JrDI0vFIyYhdvmAr8DTnmgfcT9ocZdaDyTftTI1YlDNMM5YONS9prsN6TrSBAsxsYWdkJt293lwGQa+vdTH8kk7g5+rNAEfA20Zqm13Ocg3xAZCP0zcA8ZMGGpxiOKRlBzWoapwbWLEcWmcgA7kVWdHo2ZmP4eKSi+fU1mncgGqkPlEasUIwG0laD7fQ78PvtdNV0AGCMKcDmiXw46hYfLF4fAG2dpQDkGtWyBnH3B2Ia5btGI56vrIyZ1PAhblZErK9gOcWM43X+hezI0l17ehppcv0q8HtgcFMykg34KWAsEzmFY7yHyUewmmptZKZ83t5ofn2J5h2IQClVgUkRD40h8sEO/il7RdoK2CC+k80A2MbmJ7V9u0dqsDm2kZfX2V/Ee8jPEPOirm8UdUk2BP8aTvIoYCyNom7AU3iSEXLRSyXasQpYHwaVbGa+OCMps2hfAr16a0bt77KHQ506BMM/1WvUowpNxCXtTcT+hkAO7JjEAtbjz8TlKwAgxxjdpi9N0yjSSijTJlGklUQ0Xo+2PvkI5Lcoo4w3eJGtbGInb7OVTbzOv/rd3JiMebPnNn9Ezo9XE2nmPg/Q+IDtCQN8hqpoRH8FSgUZ6gpMdeIYr/OvAf+eKHrPSCo08fDDDzNlyhQyMjJYtmwZb7/9dsxtf/3rX3P22WdTWFhIYWEhq1atirt9LNJWwHb6HXT4nXhrZQ6sXlCE4SZy8ZqhRfP56eiUs/BMvQG76AS/KdvTWRcrwrQsYuhmc8OAZCOQS5nAYfYOuE8vOSG3MxDxHNzmdODbhM3c1n2eBi7Fh5dG6uKeeyB8ocmQ2Ie+PiU/8lBWYFK+X0V/8uc//5nbb7+de+65h61bt7JgwQJWr15NXV303/LGjRu57rrreOWVV9i8eTMTJ07kwgsv5Nix1L53aStgg/gaAxpsUUHCbds8MoI4xxhdFZz6g+S0p1yaaGYwNLvkhFwbHtot27wGHEJG8MYqtOFLKBiHUvPrz7KH/a0RJ8tQlo1UpIgYwiUFfvKTn3DLLbdw0003ceqpp/LII4+QlZXFo48+GnX7xx9/nC984QssXLiQWbNm8Zvf/AbTNNmwYUNK5017AetvbAbANqYg4bZBAZurBGzKJKM9jWNiN4FmpX81u+RN1tbXJ6K8F2uf2Ax17d3+yjftb404WYbKAqBIHU2IIVsAWltbIxa3291jjB6Ph/fee49Vq1aF1um6zqpVq9i8eXNS19nZ2YnX66WoqCil+5PWAlYIEQpyMpLSYIMVnJT5qTck0p6yyQlsOfCaXfJFM6yvy6O813OfRAE9Q6X5WYnlK0+VgW4EEI2h9v0qUsAcwgWYOHEi+fn5oeWBBx7oMcSGhgb8fj+lpaUR60tLS6mpqUnqMr/xjW8wbty4CCGdDGkbRdzhd2A2CYRLzmiM3CIMV6RdQXeHyyAKr0lbIII4VzssU3SghxlKjJAKIkNFvAjkRhH0dwxcc+8gyRWYz0Ug8IS2ORtZFON+pM+1+z5rsZOVUDCmW+3daJ9pAWNppoEacaTfo3sHowm8on+wapODfV6A6upq8vLyQuudTme/n+sHP/gBf/rTn9i4cSMZGal959JWwAJ01soKTnpuNrrDHn9b31hM4UDXPGTp8YNYFPGJlWYymF1VkhVyQLdtvg98Oso+a4HnmJ2kYEy32rvWz7ROHOMNXhywWseq+44iWfLy8iIEbDTGjh2LYRjU1tZGrK+traWsrCzuvg8++CA/+MEPeOmll5g/f37K40trE3HHCVlkwlZYkHDbUIF/+wm0kVJJeoQx2D69ZMybPbf5f8gIihdi7pPK+dOt9u5gRPcOle9X0QtGQJCTw+Fg8eLFEQFKwYClM844I+Z+P/rRj/je977H888/z5IlS5I/oYW01mA7AhqsUZREDeKg/9U+egtMDAaDrdklUxkpngm0rwUO0qn27mBWdko3C0DaMkIKTdx+++3ccMMNLFmyhKVLl/LQQw/R0dHBTTfdBMBnPvMZxo8fH/Lh/vCHP+Tuu+/miSeeYMqUKSFfbU5ODjk5OTHP050BE7Br165l/fr1bN++HYfDQXNzc8J9hBDcc889/PrXv6a5uZkzzzyTX/7yl5xyyikpn7/d66T5uAyCsOcVonfq2Lr5YDWLD7bNHS7yH+F3VT7Xfmcgm3tHIxkhF22bdBGM/cVgV3Ya7O+JInVGSru6T37yk9TX13P33XdTU1PDwoULef7550OBT0eOHEHXw9/pX/7yl3g8Hj7+8Y9HHOeee+7hu9/9btLnHTAB6/F4uOaaazjjjDP47W9/m9Q+P/rRj/jZz37GY489xtSpU/nOd77D6tWr+eCDD1J2LgN0BTXYZEzEPjkjzrUdA2/Kp1KkSDppdqOFoYjuVd8TRX+xZs0a1qxZE/W9jRs3Rvx/6NChfjnngAnYe++9F4B169Yltb0Qgoceeohvf/vbXHHFFQD8/ve/p7S0lKeffpprr7025TF01QXa1BUUxN3O68vA5Zf5Tbl2JWAVimio6F5FD0aIiXioGDZBTgcPHqSmpiYizyg/P59ly5bFTQZ2u909ko0BOr2OkA/WkVOI4dGwuUXEonn9aF4/7W0yGjFTb8BmdsgUneASUQ6x+zK6yyMqRhfDIb9XMbzQzKFbRgLDRsAGncipJgM/8MADEYnGEydOBMD0mbhPBqOI4wc5tbkC/le7quCkUMRCRfcqemBVMgZ7GQGkJGDvvPNONE2Lu+zZs2egxhqVu+66i5aWltBSXV0NIIWrKcAwMLLjR321dQWbrFcP+HgVipHMUFR2UihGKin5YO+44w5uvPHGuNtMmzatVwMJJvzW1tZSXl4eWl9bW8vChQtj7ud0OqNW73A3hP2vmh5/HtHmCgpYlaKjUCRCRfcqQvSi8H6/nXcEkJKALS4uprh4YPwrU6dOpaysjA0bNoQEamtrK1u2bOHzn/98ysdrOdEJgD2vCMMlf/jdSyVqHi+m0Gl3yyjFXP0ImP6ItnSqNKJC0ZNUo3tV4/T0ZKhLJQ53BiyK+MiRIzQ2NnLkyBH8fj/bt28HYMaMGaFE3VmzZvHAAw9w1VVXoWkat912G9///vc55ZRTQmk648aN48orr0z5/O46GexkL4jvf+30jEUIG4bmIlM/mfJ5FCMb9eAfeOrEMarYOWClFRVDiIoijsuACdi7776bxx57LPT/okWLAHjllVc499xzAaiqqqKlpSW0zde//nU6Ojq49dZbaW5u5qyzzuL555/vVQ6sp17+mO35CQKc3AHzsHFMlUgcQfSHYFQP/oEnWFpRVn/6FsHazm7WUsl65gvlt1WkLwMmYNetW5cwB7Z7pxpN07jvvvu47777+nz+oIC1JdBggxWccmwqgnik0B+CUT34B57BLK2oGCIEPTO2Buu8I4Bhk6bT33TVyYevM6sIw0Vg8UcsmtcXjiDWq0O5r0KI0KIYXvRHsfmeD/7lQA7hB/+lVLFLff59RDVOT3+GuuH6cCdtBay3Xpqe7fnxO9CHm6yrFJ3hhhCCRlFHjThCo6jDFGa/CEb14B8cVOP0UYBgiPJgh/rCkyN9u+n4TNA17Hn5MTfx+LNx++X7uYYyEfc3ffGTRjMD28nGSwd9LTaf7IO/kTo8QgU/9RZVWlEx2klfAQvYxuRjdxmh/w2XP+L91k5ZNSrLVo9hdoUnRdbUHNHNwTBCTBNDTV/8pLH8o17WAs8C+4n+wE5OI0r84P8FYOMQ4aIpKvgpdVTj9FGAiiKOS9qaiAHsJQVx32/zBDro2PveJDqd6G6aTdUX2Rc/aTL+UfgG4I+yd3IaUfyaun9DCvWLUh67IhJVWnEUYA7hMgJIbw22OH4EcatXCtg8x7ERY9MfaPoaodvXyNHE/tFvIUv0vQp8xPJe8hqRpmlUiLlUhh7830RqvzuAm3o99mQYbXm3qnF6eqMKTcQnrQWsvSRBik5Ag82zHwXPYIxoeNMfqSt9bcqdrH8Uvgo8HBoj3I/UiJYnJbBiPfglA9NQfLTm3arSimmMMhHHJa0FrFY0FltX+IMw3GGzot9vo90nfbC5+hGZohOku991FNBfOYt9jRxNNjDGzh68rAit7Y1G1P3B305rwO/a/1Gvoz3vVjVOV4xG0lrA2kuKIEanu7auUkDHobfi1FtGvYW4r5pnkL5GjiYbGHMmq2imIaFGlMgka33wN4q6gIDt36hXVXBBkbYoDTYuaS1gbfEEbIcsMJFnr0bTlAu2v3IW+xo5Gts/GmkG1jU9oUaUqkl2oKJe+2vyolAMO5SAjUv6RhE77Oi52THfbuuUJRLzVIlEoLvmGY3ktLf+iBztj56jvYlkHqioV1VwQZG2qCjiuKStBmsbUwRddmyd4ZmO5vaGXre2B4v8H0b4zVHfoq4/tbf+iBztS2BMX0yyAxH1qgouKBSjk/QVsGNjl0g0TYN2lzTF5dlViURI3jSbrPbWH5GjvQ2M6atJtr+jXlXBBUW6otJ04pPGAjZ2ik6HuxghbNi0TtUD1kJ/a29DFTnaHybZ/hx7f09eFIphg/LBxiVtBaxz5vSY77UGO+jYjhHvmSaESZOoi9Ri+nugw4x0yFkcjiZZVXBBkZaYAoaij/YIceOlrYDNmVSB3qFjt+TBai7pg21rC0QQ64fB5wN69qatE0epMit7RqCS3kUBYOTnLA5Xk2w6TF4UCkXypG8UcRxa3bJFXZ7tSNT368RRKs03+9RzVDF0DOcauJqmUaSVUKZNokgrUcJVMbIZklZ1Q2SW7gVpq8HGQgiNNlewB2xPASuESZVZiSoKMLJRJlmFYjAYKmGnBOyQYnRqGKaGrTNcAlHzeOnwFOMXTnTNS5Y4ivAF0nMCNv0ms04VBUgTlElWoRhgVJBTXNJWwMai1TMBgFzHMXStZ7ayW3QFXqmiAOnASPcnKxSKkcvoE7BuKWDzHdErODm1zMCr4ROBqlAoFMMSUzAk5loVRTw8aQlosHnO6C3qCrXhGYGqGL6Mth6vCkUIYQ5N97ER0vEsbQWsrVPD8GvYOnyhdcLjD2uwxqGoLeo0oEKbS6VQRQEUiRmtPV4VCkD5YBMwqtJ0OnzF+EUGhuYm21Ybc7sSbQLztb4Vm1ekD0IIGkUdNeIIjaIulDPdm4YCg0mscSsUisEhbTXYaLR4JgGQa5cBTvGMDCXaBIoZ37OSk9JcRxWxNNSZYg4fsovhms6lNGvFoKB8sHEZVRpsq1cK2HxH9AIT3VFFAUY38TTU99mSRDpXK03UD/Koh79mrUgjVKGJuKStBmvvAMMLRle4RV2zayIAefoBhMcbu0XdCPnwFANHMi3v4HlgdowjDE06V19a9SkUKSMYIh/s4J+yN4waDdY0ddp8UsDm2w4P8WgUw51kWt6BD3g8xhGGJp0ruVZ9Q6NZK9IQpcHGZdQI2PauUkzs2LV2sgz1cFHEJ9mWd/Ab6OHNH7p0rv5o1adQKPqHtBWwjjaBo02gd3nRu7y0NZcCkGccQfP7wOdD+M3QEsrnGiH5VYqBJbLlXTSC67cxnBoKJDtuVShF0S+Y5tAtI4C0FbDdaemSkZP5tkNDOxDFiCDY8g7WEk9DncfwSudKdtyqUIqiX1Am4rikbZBTd1o6AxWclIBVJIGmaVSIuVQSv+BIiTaeEjF+2FRySnbcKsBJ0S+oQhNxGRUC1mfaaXfLgu9Kg1UkS7It74ZbQwHVqk+hGB6krYC1d5jYPCZal5u2rnGAjlNrxmk2hN2syt+qSMBIbXk3UsetGGGoQhNxSVsBa6XFHUjPMQ4M8UgUI5HhpqEmy0gdt2LkIISJGAJFZSjO2RtGh4B1BSo4KQGrUCgU/YcQQ6NNjhAf7KiIIm4OaLB5SsAqFAqFYpBIWw3W3ubDZvPh6srE5SsCTPLZH9GiTpVHHH6o3qoKxQhCDJEPdoQ8r9NWwAZpcU8GINd+ApumqtcMZ1QHGIVihGGaoKmG67FIexNxs2cKAPkOVX94OKM6wCgUIxBVaCIuaavB2jqkibg5EOBUoO9DeP2RG42QWVC6ozrAKBSKdCRtBSzIDjotXmkiLrAfAG+CHRRDQnIdYJ6liXqVdqJQDCOEaSKGwESs0nSGAW0dZZg4Ah106kZKC8FRh+oAo1CMUFSQU1wGzAe7du1aVqxYQVZWFgUFBUntc+ONN6JpWsRy0UUX9XoMLW2y/nCB/SDKsjh8UR1gFIoRiimGbhkBDJiA9Xg8XHPNNXz+859Pab+LLrqIEydOhJYnn3yyV+c3Oj20NpUDUGDsA59vRH5AowHVAUahUKQjA2YivvfeewFYt25dSvs5nU7Kysr6ZQwtnYESiTZVYGI4ozrAKBQjFCHoOSkerPMOf4adD3bjxo2UlJRQWFjIRz7yEb7//e8zZsyYmNu73W7cbnfo/9bWVgBc3hxc3gLAVB10RgCqA4xCMfIQpkBogy/shBKwqXPRRRdx9dVXM3XqVPbv3883v/lNLr74YjZv3oxhGFH3eeCBB0LaspVg/9dc4yg2zd3jfcXwQ3WAUShGGMJkaDTYkRFFnJIP9s477+wRhNR92bNnT68Hc+211/LRj36UefPmceWVV/Lss8/yzjvvsHHjxpj73HXXXbS0tISW6upqAFpbxwFQoO9FeDxy8fsjlpGWtDwa0DSNIq2EMm0SRVqJEq4KxTBGmGLIlpFAShrsHXfcwY033hh3m2nTpvVlPD2ONXbsWPbt28f5558fdRun04nT6eyxvrlL+l8L9L39Nh6FQqFQKJIlJQFbXFxMcfHgRXIePXqUkydPUl5envK+bZ6ABmsoAatQKBQDgU+4h8Rc6xshVYMGzAd75MgRGhsbOXLkCH6/n+3btwMwY8YMcnJyAJg1axYPPPAAV111Fe3t7dx777187GMfo6ysjP379/P1r3+dGTNmsHr16l6MwMBpayZDO9l/F6VQKBQKHA4HZWVlvF7z3JCNoaysDIfDMWTnT4YBE7B33303jz32WOj/RYsWAfDKK69w7rnnAlBVVUVLSwsAhmFQWVnJY489RnNzM+PGjePCCy/ke9/7XlQTcDIU2g+gmf7EGyoUCoUiaTIyMjh48CAej2fIxuBwOMjIGN7FZzQxUuKdk6S1tZX8/HyghdkF/2Ki+5nQe6anm1lBCV+FQpGm+ISXjTxDS0sLeXl5Qz2cUUlat6srdOwf6iEoFAqFYpQyrPJg+xODTnLMQwi/xQE/QnKnFAqFQjHySVsNtsB+AG0IKowoFAqFQgFpLGDHOnYN9RAUCoVCMYpJWwE7IWPzUA9BoVAoFKOYtPXB4vWCpkX6XdMrYFqhUCgUw5j0FbCjCCGEKpCvUCgUwwwlYEc4deIYVezETVtonZNcKsRc1eJNoVAohpC09cGOBurEMSp5CzfnAJuBNmAzbs6hkreoE8eGeIQKhUIxeklbDVb4fAhNHzFtjVJFCEEVO4FLgWcIz5WWB/6/gio2USzGKXOxQqFQDAFKgx2hNFEfMAt/i54fow58EzetNFE/+INTKBQKRfpqsOmOB1fg1dwYW8zttt3IRgVyKRSKkUbaCljh9SM0X9qWR3QQ7CKxE2kW7s7ObtuNXFQgl0KhGIkoE/EIpZBinOQCa4HukwgTuB8neRRSPPiD60dUIJdCoRipKAE7QtE0jQrmAuuBK7AKH/n/eiqYM6LNqD0DuZYDOYQDuS6lil2kWcdFhUKRJqSdiTj4sPUJb+B/r/XNoRjSgFFECXNYwl424uHZ0HoHuZzCEoooCd2HkUg4kOs2oD3KFl/GzbM0cIJCMbI1dYWiv/ERfAam13NvJJF2DdePHj3KxIkTh3oYCoVCMSyorq5mwoQJQz2MUUnaCVjTNDl+/Di5ubmDZh5tbW1l4sSJVFdXk5eXNyjnHCzS9drS9bogfa8tXa8LBubahBC0tbUxbtw4dF15A4eCtDMR67o+ZLO1vLy8tPvhB0nXa0vX64L0vbZ0vS7o/2vLz8/vt2MpUkdNaxQKhUKhGACUgFUoFAqFYgBQArYfcDqd3HPPPTidzqEeSr+TrteWrtcF6Xtt6XpdkN7XNppJuyAnhUKhUCiGA0qDVSgUCoViAFACVqFQKBSKAUAJWIVCoVAoBgAlYBUKhUKhGACUgFUoFAqFYgBQAraXrF27lhUrVpCVlUVBQUFS+wghuPvuuykvLyczM5NVq1axd+/egR1oL2hsbOT6668nLy+PgoICbr75ZtrboxXbD3PuueeiaVrE8rnPfW6QRhydhx9+mClTppCRkcGyZct4++23427/17/+lVmzZpGRkcG8efN47rnnBmmkqZPKta1bt67HZ5ORMfz6BG/atInLL7+ccePGoWkaTz/9dMJ9Nm7cyGmnnYbT6WTGjBmsW7duwMeZKqle18aNG3t8XpqmUVNTMzgDVvQbSsD2Eo/HwzXXXMPnP//5pPf50Y9+xM9+9jMeeeQRtmzZQnZ2NqtXr8blcg3gSFPn+uuvZ9euXbz44os8++yzbNq0iVtvvTXhfrfccgsnTpwILT/60Y8GYbTR+fOf/8ztt9/OPffcw9atW1mwYAGrV6+mrq4u6vZvvvkm1113HTfffDPbtm3jyiuv5Morr2Tnzp2DPPLEpHptIEvwWT+bw4cPD+KIk6Ojo4MFCxbw8MMPJ7X9wYMHufTSSznvvPPYvn07t912G//+7//OCy+8MMAjTY1UrytIVVVVxGdWUlIyQCNUDBhC0Sd+97vfifz8/ITbmaYpysrKxI9//OPQuubmZuF0OsWTTz45gCNMjQ8++EAA4p133gmt++c//yk0TRPHjh2Lud8555wjvvzlLw/CCJNj6dKl4otf/GLof7/fL8aNGyceeOCBqNt/4hOfEJdeemnEumXLlonPfvazAzrO3pDqtSX7HR1OAOIf//hH3G2+/vWvizlz5kSs++QnPylWr149gCPrG8lc1yuvvCIA0dTUNChjUgwcSoMdJA4ePEhNTQ2rVq0KrcvPz2fZsmVs3rx5CEcWyebNmykoKGDJkiWhdatWrULXdbZs2RJ338cff5yxY8cyd+5c7rrrLjo7Owd6uFHxeDy89957Efda13VWrVoV815v3rw5YnuA1atXD6vPBnp3bQDt7e1MnjyZiRMncsUVV7Br167BGO6AMlI+s96ycOFCysvLueCCC3jjjTeGejiKXpB23XSGK0H/SWlpacT60tLSYeVbqamp6WGKstlsFBUVxR3npz71KSZPnsy4ceOorKzkG9/4BlVVVTz11FMDPeQeNDQ04Pf7o97rPXv2RN2npqZm2H820Ltrq6io4NFHH2X+/Pm0tLTw4IMPsmLFCnbt2jWi+4TG+sxaW1vp6uoiMzNziEbWN8rLy3nkkUdYsmQJbreb3/zmN5x77rls2bKF0047baiHp0gBJWAt3Hnnnfzwhz+Mu83u3buZNWvWII2o/0j22nqL1Uc7b948ysvLOf/889m/fz/Tp0/v9XEVfeeMM87gjDPOCP2/YsUKZs+eza9+9Su+973vDeHIFNGoqKigoqIi9P+KFSvYv38/P/3pT/nDH/4whCNTpIoSsBbuuOMObrzxxrjbTJs2rVfHLisrA6C2tpby8vLQ+traWhYuXNirY6ZCstdWVlbWI1jG5/PR2NgYuoZkWLZsGQD79u0bdAE7duxYDMOgtrY2U02FUQAAA7lJREFUYn1tbW3MaygrK0tp+6GiN9fWHbvdzqJFi9i3b99ADHHQiPWZ5eXljVjtNRZLly7l9ddfH+phKFJECVgLxcXFFBcXD8ixp06dSllZGRs2bAgJ1NbWVrZs2ZJSJHJvSfbazjjjDJqbm3nvvfdYvHgxAC+//DKmaYaEZjJs374dIGIyMVg4HA4WL17Mhg0buPLKKwEwTZMNGzawZs2aqPucccYZbNiwgdtuuy207sUXX4zQ/IYDvbm27vj9ft5//30uueSSARzpwHPGGWf0SKUajp9Zf7B9+/Yh+S0p+shQR1mNVA4fPiy2bdsm7r33XpGTkyO2bdsmtm3bJtra2kLbVFRUiKeeeir0/w9+8ANRUFAgnnnmGVFZWSmuuOIKMXXqVNHV1TUUlxCTiy66SCxatEhs2bJFvP766+KUU04R1113Xej9o0ePioqKCrFlyxYhhBD79u0T9913n3j33XfFwYMHxTPPPCOmTZsmVq5cOVSXIP70pz8Jp9Mp1q1bJz744ANx6623ioKCAlFTUyOEEOLTn/60uPPOO0Pbv/HGG8Jms4kHH3xQ7N69W9xzzz3CbreL999/f6guISapXtu9994rXnjhBbF//37x3nvviWuvvVZkZGSIXbt2DdUlRKWtrS30OwLET37yE7Ft2zZx+PBhIYQQd955p/j0pz8d2v7AgQMiKytLfO1rXxO7d+8WDz/8sDAMQzz//PNDdQlRSfW6fvrTn4qnn35a7N27V7z//vviy1/+stB1Xbz00ktDdQmKXqIEbC+54YYbBNBjeeWVV0LbAOJ3v/td6H/TNMV3vvMdUVpaKpxOpzj//PNFVVXV4A8+ASdPnhTXXXedyMnJEXl5eeKmm26KmDgcPHgw4lqPHDkiVq5cKYqKioTT6RQzZswQX/va10RLS8sQXYHk5z//uZg0aZJwOBxi6dKl4q233gq9d84554gbbrghYvu//OUvYubMmcLhcIg5c+aI9evXD/KIkyeVa7vttttC25aWlopLLrlEbN26dQhGHZ9gekr3JXgtN9xwgzjnnHN67LNw4ULhcDjEtGnTIn5vw4VUr+uHP/yhmD59usjIyBBFRUXi3HPPFS+//PLQDF7RJ1Q/WIVCoVAoBgCVB6tQKBQKxQCgBKxCoVAoFAOAErAKhUKhUAwASsAqFAqFQjEAKAGrUCgUCsUAoASsQqFQKBQDgBKwCoVCoVAMAErAKhQKhUIxACgBq1AoFArFAKAErEKhUCgUA4ASsAqFQqFQDAD/H1z767lKMnp+AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X,Y = genere_ex_2()\n", "main(X,Y)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Reconnaissance de chiffres manuscrits" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.10" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" } } }, "nbformat": 4, "nbformat_minor": 2 }