From 64d310e2207064a5f0fe13a7f93f9ae3cf4f8934 Mon Sep 17 00:00:00 2001 From: Quentin Fortier Date: Wed, 15 Nov 2023 19:45:29 +0000 Subject: [PATCH 1/2] Add knn.ipynb --- files/dl/apprentissage/cours/knn/knn.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/files/dl/apprentissage/cours/knn/knn.ipynb b/files/dl/apprentissage/cours/knn/knn.ipynb index a75cc490..db96ad06 100644 --- a/files/dl/apprentissage/cours/knn/knn.ipynb +++ b/files/dl/apprentissage/cours/knn/knn.ipynb @@ -1 +1 @@ -{"cells": [{"attachments": {}, "cell_type": "markdown", "metadata": {}, "source": ["# Algorithme des k plus proches voisins\n\n", "\n", ""]}, {"attachments": {}, "cell_type": "markdown", "metadata": {}, "source": ["Nous allons classifier deux ensembles de points (rouge et bleu) issus de deux distributions gaussiennes (de param\u00e8tres diff\u00e9rents), avec la m\u00e9thode des $k$ plus proches voisins :"]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def points(n):\n", " tX1 = np.random.multivariate_normal([4, 3], 5*np.eye(2), n) # points de classe 0\n", " tX2 = np.random.multivariate_normal([-2, -1], 5*np.eye(2), n) # points de classe 1\n", " X = np.vstack((tX1, tX2))\n", " y = np.hstack((np.zeros(n), np.ones(n)))\n", " return X, y\n", "\n", "X, y = points(100)\n", "plt.scatter(X[:,0], X[:,1], c=y, cmap=plt.cm.Spectral);"]}, {"attachments": {}, "cell_type": "markdown", "metadata": {}, "source": ["## Algorithme des $k$ plus proches voisins"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": ["def d(x, y):\n", " s = 0\n", " for i in range(len(x)):\n", " s += (x[i] - y[i])**2\n", " return s**.5"]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": ["def voisins(x, X, k): \n", "\t# renvoie les k plus proches voisins de x dans X\n", "\tindices = sorted(range(len(X)), key=lambda i: d(x, X[i]))\n", "\treturn indices[:k]"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": ["def maj(L):\n", "\tcompte = {} # compte[e] = nombre d'occurrences de e dans L\n", "\tfor e in L:\n", "\t\tcompte[e] = compte.get(e, 0) + 1\n", "\treturn max(compte, key=compte.get)"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": ["def knn(x, X, Y, k):\n", "\tV = voisins(x, X, k)\n", "\treturn maj([Y[i] for i in V])"]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": ["def separer(X, Y, p):\n", "\tX_train, X_test, Y_train, Y_test = [], [], [], []\n", "\tfor i in range(len(X)):\n", "\t\tif i <= p * len(X):\n", "\t\t\tX_train.append(X[i])\n", "\t\t\tY_train.append(Y[i])\n", "\t\telse:\n", "\t\t\tX_test.append(X[i])\n", "\t\t\tY_test.append(Y[i])\n", "\treturn X_train, X_test, Y_train, Y_test\n", "\n", "X_train, X_test, Y_train, Y_test = separer(X, y, 0.8)\n", "\n", "def predict(x, k):\n", "\treturn knn(x, X_train, Y_train, k)"]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"text/plain": ["0.8974358974358975"]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}], "source": ["def precision(k):\n", "\tn = len(X_test)\n", "\tp = 0\n", "\tfor i in range(n):\n", "\t\tif predict(X_test[i], k) == Y_test[i]:\n", "\t\t\tp += 1\n", "\treturn p/n\n", "\n", "precision(5)"]}, {"attachments": {}, "cell_type": "markdown", "metadata": {}, "source": ["## En utilisant sklearn\n", "\n", "`sklearn` donne le m\u00eame r\u00e9sultat, mais est beaucoup plus rapide (tester avec $n = 10000$ points, par exemple) :"]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"text/plain": ["0.8974358974358975"]}, "execution_count": 8, "metadata": {}, "output_type": "execute_result"}], "source": ["from sklearn.neighbors import KNeighborsClassifier\n", "neigh = KNeighborsClassifier(n_neighbors=5)\n", "neigh.fit(X_train, Y_train)\n", "neigh.score(X_test, Y_test)"]}], "metadata": {"celltoolbar": "Tags", "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": "3.9.2 (default, Feb 28 2021, 17:03:44) \n[GCC 10.2.1 20210110]"}, "vscode": {"interpreter": {"hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"}}}, "nbformat": 4, "nbformat_minor": 4} \ No newline at end of file +{"cells": [{"attachments": {}, "cell_type": "markdown", "metadata": {}, "source": ["# Cours : Algorithme des k plus proches voisins\n"]}, {"attachments": {}, "cell_type": "markdown", "metadata": {}, "source": ["Nous allons classifier deux ensembles de points (rouge et bleu) issus de deux distributions gaussiennes (de param\u00e8tres diff\u00e9rents), avec la m\u00e9thode des $k$ plus proches voisins :"]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"image/png": 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SyDh5u9Pl9ml2jFCoLzHFIwiCIFht1wMfsu/xzyqTEzCOpsT9sI4Vox6gPL/IIXE4ebrXeIxbSCu0Xm6V3WEljfGW5+znxZS1b+Ia6GvnKIX6ECMogiAIglVyDscR/dHfJp9TDQr5Mckcf38pfZ+50e6xdLxyNJm7T1StP7mIpJGJuGUKvRdcR9xPG0jffhRJkmgzrh+drh0n6k+aANGoTRAEQbDKrvkfEv3pPxanVtzbBXBN4q92j6XsXAF/dbuVsuz8aqt1JI2M1sOVuce+xqNdoN1jEaqzxf1bTPEIgiAIVimIP2u57gMoTsnGEZ97Xfy8mLbxbdzbBgAgOWmQnDTG5/y9mbL2TZGcNHFiikcQBEGooiTjHPknU9B6uOLfuzOSbPws6xrgbXnlDODk7e6wPZJ8u3fkypM/kPjPDs5uPIiqqASN7EnHK0ejcXF2SAyC/YgERRAEQQCgKDmT3Q99TOKybZXTJh4dguj33M1E3DqVztdP4NR3a82+XtLKhN882VHhAsYVRB2vGE3HK0Y79LqC/YkERRAEQaD4bDbLh95LSca5KjUdRQnpbLvtTUoz8+j5yFUEj+lN+rZjJus+nDzd6fnwVY4OXWimRA2KIAiCwKEXfzAmJ3rT7eH3P/UlJRm5TPznFdrPHmFshCZJldM/XuFtmbZ5MZ4dghwYtZFiMJC0cjdHXv+F4+//RUH8WYfHINieWMUjCILQwhnKyvnJbzaGUvPt4SVZZsCrt9Pr8WsByI9LJWX1HgxlOgIGdCFodG+H1Z5cLH37MTZf9zLFyZnGzQFVFVSVzteOZ8QXj6B1d3V4TIJt7t9iikcQBKGFK83Ks5icAKCRKIhPq/yrd1gI3vfOsW9gNTh3LJ41kx7DUK4DqDLtFP/rZsoLipn0zysNFZ5QT2KKRxAEoYVz9vYAuYbRDxVcWjWukewji35G0RtAqT4RoCoKyct3kbknugEiE2xBJCiCIAgtnJOXO6Ezh1W2gjdF1RvofN14B0ZlmaLTE//HFotLniWthtM/b3BgVIIt2T1BSUlJ4cYbb6RVq1a4ubnRq1cv9u3bZ+/LCoIgCLXQ99mbjPvVyCZuC7JE5+vG49ejY5WHDWXlxP28gfVznmHlmAfZfudisvbFOCReXVEpqs5y0zhUY8dZoWmyaw3KuXPnGDFiBOPGjWPVqlUEBgZy8uRJ/Pz87HlZQRAEoZYC+ndh8urX2XrTIopTsowFp4oKEkTMm8qwD+dXOb74bDarJzxCXnSScXpIUcnYeZzYL1bQ/YErGLz4brsWzTp5ueHk44Euz9LmhCpendrYLQbBvuy6imfBggVs376d//77r06vF6t4BEEwx1Cu48wfW4n7cR2lGbl4hYXQ5fbphEwa0CCrSZoLxWAgZfVeco8n4OTpRuisYdVaxquqyvKh95J98KTZZcnDPnqAyLsvs2usex/7jKh3/6jWk6WSJHHV6Z8aZOlzS2eL+7ddE5Tu3bszZcoUkpOT2bJlC23btuWee+7hjjvuMHl8WVkZZWVllX/Pz88nNDRUJCiCIFRRmpXHmkmPkXM4rvLTu6SRUQ0KHa4Yxdifn0F2EosU7SV9RxQrR843f4AEnh2CuPLUj6anjGykNDuPfwffQ1FShslEqd/zt9D32Zvtdn3BvEa/WeDp06f55JNPiIiIYM2aNdx9993Mnz+f7777zuTxixYtwsfHp/JXaGioPcMTBKGJ2nrTq5w7Fm/8y/kVHBWfohP+2sbBF75vqNBahNS1+5C0GvMHqFB4Jp2C0/ZtmObayoeZOz6g87Xjq8Tj0b41wz97mD4Lb7Lr9QX7susIirOzMwMHDmTHjh2Vj82fP5+9e/eyc+fOaseLERRBEGqSG53I0u7zLB7j5O3BtWd/R+vm4qCoWpb9z3zN0TeX1FikOvf4N/hGtndITGU5+eTFJqN1c8GvVye7jtwINWv0Iyht2rShe/fuVR7r1q0biYmJJo93cXHB29u7yi9BEISLnd1wAGqoMdHlF5F98JSDImp5AgdH1picOPt64tUp2EERgYu/N62Hdse/T5hITpoJu07SjhgxgpiYqkvOYmNj6dChgz0vKwhCM6YaFOM+MDWM/VrqjyHUXtm5AnKjziA7O9FmYn/c2wVScjbbZIGqJEtE3n0ZGhfnBohUaC7smqA89NBDDB8+nFdffZWrr76aPXv28Pnnn/P555/b87KCIDhAYUI62QdOIjtrCRrZE2cfT4dcN3BYd5OdQy+mcXXCv09nh8TT3JWdK2Dvo58S99N6lHI9AC4BPnS+dhynvl+Lvqj0QpIiGTPHoNG9Rf2HUG923yxw+fLlPPnkk5w8eZJOnTrx8MMPm13FcymxzFgQGp/is9lsv3MxySt2VY5iaFydibxrFgNeuwONs5PdY/hn8D3kHDplcpRE0sh0vWMmwz5+wO5xNHe6gmKWD7+fvOhEkyMlnW+YgFuQP6d/Wk95QTE+Ee3oetcsIuZNdcjPgdB4NfplxvUlEhRBaFzKcvL5Z9DdFCVmVL9hyRIdZo9g3B/P270PSUH8WVaOeoCStBxjMzGo/PQeMDiSqevewsnTza4xtARHFv3M/oVfWxyxmrXvEwL6d7F7LKVZecT/uoni1Gzc2rSi8zVjcQ30tft1hboRuxkLguBQJz5cRlFCBqpiojGWopKwdBvp/x0leHRvu8bh1akNsw9/Qcxnyzn57RrKsvPx7BhE1//NJPyWKWhdRe2DLUR/9q/F5ETSajj55SoCPrZfgqKqKkdf+4WDz3+HYjAgazQoBgN7Hv6Yvs/cSJ+FN4nGfM2USFAEQbBazJcrTScn50laDae+XWP3BAWMPTD6PHUDfZ66we7Xau5UVeXckdMUJWXgGuhLwKCuSLJMcXKW5dfpDRScsW+vkxMfLGX/019V/l1RjHUwqmLg4PPfofVwpecjV9s1BqFhiARFEASrlaTnWHxe1RsoTM5wUDSCLaT9d4Rd93/AuSOnKx/z7BTMoDfuxMnXg/Ic85vtSRoZ1wAfu8VmKCuvseneoZd+JPKe2aLnTTMkFosLgmC1mub8Ja0G95BWjglGqLe0/46wesKjF7rynlcYn8amq14gcHA3JI3524RqUOh8/QT7xbf5MOU17Easyy8y9sYRmh2RoAiCYLUu86ZZvmHpDYTfNNmBETVfqqpSlJJJflwqhrJyu1xj94MfGafszNSZZO45gdbL3eS/uaSRCRrVi7aTB9olNoByizsV1/44oWkRCYogCFbrPn8ubsH+pvdhkcDJ2529j33Gnkc+If9UiuMDbCbif9/C333v4LfQa/kz4iZ+CbqSvY9/hq6wxGbXOBd1hpyDpywWwZbnFND/hVvxjmgLYOzQer4gNXTWMCb++0qVrq2GsnJivljBP4Pu4ufWl/NX93kcfWMJZTWMgphTcd0ajwu37jihaRHLjAVBqJXChHT+m/c6aZsPmz1G0hhvZKO/X0Dna8c7MLqm79jbv7H3sc+MicBFb8+SRsa/bzjTNi/GyaP+S6iTV+9h3fQnLR8kSQz94H4i776M9P+OkrUvBtnZiXZTB1VLCnSFJayZ/BiZu05UjV2W8GgXyPSt7+LZPqhWMaqqyj/97+TcsXiTfViQJHy6tGPu8W/ESp5GptHvxSMIQvPj2SGIaRsXM/f4Nwx6806Tw/+qQUHVG9h60yJyj59xfJBNVGFCOnufON9p+5LPjqpBIefgKY6/+5dNruXa2rfmg1QVt9a+SJJE8Oje9Hz4KrrfN8fkiMWeRz8la29M5esqKSrFqdlsuf6VWscoSRLDP38Y2dnJ9NSiqlIQf5Yddy6mNDuv1ucXGjeRoAiCUCe+ke0pSTtn+SBJ4vgHyxwST3Nw8utVFkcCVEXhxCd/2+RarfpF4N011OLGi07e7rSbMbTGc5WdK+DUd2tMj3JgrE3K2BFF9qHab+AYOCiSmTs+oO0U07UuSrmek9+sZsWI+XWeShIaJ5GgCIJQZylr95q9KYHxxpSydq8DI2ra8mKTqGnWvSQ1G31p/YtmJUli8Ft3Aapx80UTBrxyu1XLd3MOx6GU6Wq6IBk7omofKODfJ4zhnz4MsulAVYNCQVwqR19fUqfzC42TSFAEQagztYZN+wBUQ8OXuWUdiGXfk1+y8573iHr3z0Y7HeDk6V6l6NQUyUmDxtk2LaxCZwxl/B8v4BbsXzUOHw+GfjifbvfOseo8NcVspFp5nGknv11jeXTJoBDz+XIUg9jFurkQjdoEQaiz4NG9yYtJMrlpHxj7ogSP7ePgqC7QFZWw+dqXSV6xC0mrQZIkFIOBfQs+Z+gH8+l6x4wGi82UjleOJvarlWafl7QaOl4xul43+kt1mDuS0FnDSF2/n6LEDFxb+9J26uBabRfQakAEWg9X9EWl5g9Soc34vnWOsyAuxexIT4Xy3EJ0+cW4+HnV+TpC4yFGUARBqLNu986ucYqn+/1zHRhRVVtvWkTK6j2VsSg6PSgqSrmeHXcuJvGfHQ0WmykhkwYY28ybKgiVJCRZotfj19r8urJWQ7upg+n6v5l0mDOy1nsZOXm4EXn3ZWanYCSNTNtpg/HpElrnGJ19PKkpQ5E0Mlp30VG2uRAJiiAIdebbvSMjvnjEePO8qDdKxZ+HvH8/AQPsv9OtKbnHz5C4bLv5BEqWOPjCd44NqgaSLDNp5SKCRvQ0/l2rQXYyDnQ7+3ow8d9XaNU3vCFDNKv/y7cRer6gtiLBqhjp8evZidHfL6jX+TtdM9bsSB0Yv1cd5o5C4yI2imwuxBSPIAj10uW2abTqF87x95eSsm4fqCptxvWj+/zLCRwc2WBxnflrG5JGNp+gKCo5B09RmJSBZ2hrxwZngWsrH6ZtfofMvdEk/bMTQ2k5/n060+HKMY16l2aNsxMTlr5I8uq9xH65goLTZ3Fr7Uf4zZPoeNWYeicOgUO7EzJ5IGc3HKj+byobR5d6P3ldva4hNC6iUZsgCM3Svie/JGrx78ZpHQvmRn2Nb7cOdo+nNDuPxGXbKcvOx7NjMKGXDW/UCUdjpCssYevNi0hctt04SiNLqDoDroG+jPn5aUIm9G/oEIXzbHH/FiMogiA0S77d2teYnGhcnfGw8+iJqigcfP47jr6xBEWnR5KNozrOvh4M++hBOl8nOu1ay8nTjQl/vUheTBIJy7ZhKCnHr1cn2l82vHIqTGg+xAiKIAh2o6oq2ftjKTyThksrb4JG9UY2tY+PHeiLS1kSchW6gpJqXVnBWCfR5fbpDP/0IbvGceDZbzj88o9mn5+w7CXaXzbcrjEIgqOJERRBEBqttP+OsPOe98iNOlP5mGuQHwMX/R8Rt061+/W17q6M+m4Bm658HpCq1C1IGhnPTsH0f/k2u8ZQdq6Ao29YaB4mSex/6ktCZw0Te8mYoBgMpKzaw5k/t6IrLMGnSyhd/m86Xp3aNHRoggOIBEUQBJvL2BnFmomPVWuaVZp+jm23vYmhVEfkXbPsHkeH2SOYtmkxh176kdR1+wDQerrR5bZp9Fl4I66tfGo8h76kDF2BsbdGbacREpdttzzNpKrkHk8gN+oMfj071erczUHBmTSKkzNxDfTFp2vVJcilmbmsmbqAnIMnkbQyqkFFkiWOvPYzA1+/k16PXt1AUQuOIhIUQRBsbs+jnxpHLMx0mt37+GeE3TTRJrvy1iRoZC+mrHmd8rxCdIUluAb6onF2qvF1OUfiOPzKTyT89R+qQUHr4UrEvGn0efp63IL8a3w9QGl2fmXNiSVl2flWna+5yNofy55HPiF965HKx/z7hjPojf8RMnEAqqqyfvZCzh09DYCqN37/KroS73v8Mzw7BNHpqjGOD15wGNEHRRAEm8qPSyVz53FUxfxNWV9YQuLfjm2S5uzjiUfbQKuSk/RtR1k+9D4Slm6rTC70RaVEf/I3/wy6h6KUTKuu6dW5TY3JCYBnx2CrztccZO6NZuWoB8jYfqzK4zlH4lg79QmSlu8kY0cUmbuOm+97IkscfuXHGvctEpo2kaAIgmBTxalZNR4jaWSKU2o+riEoBgNbbngFQ7mu2g1SNSiUnM1mz8OfWHWu0BlDcPE333Zd0si0Gd8Pzw5B9Yq5Kdl1/wco5frqiZuioqqw4653SPx3R5XGf9UoKueOnKYkvYbdtIUmTSQogiDY1KUbz5miGhSrjrMnfWk56duPcXbTQUqzLmwemLpuP0VJmWanp1SDQsJf/1GSUfPNUePizLBPHjJ2aL+kCFbSyGhcnRn8zj31+jqaktwTCWTtiTY/uqaqFKdmU3AyxaqiYYMNdnUWGi9RgyIIgk35RLSj1cCuZB+INXuT17q70GHOCAdHZqQYDBxZ9AtRi3+nPLcQMLZJ73ztOAa/cw/njp2x3IEWY5KSH5uMW2u/Gq/X6aoxaD1eZf+TX3DuaHzl423G9WPw4rtbVHFs4Zk0q45z8nKvsYeNs58X7iGtbBGW0EiJBEUQBJsb/NZdrJ74KCqmC2X7v3I7Tl7uDRCZcQrh5Ner4KKwVL2B079sJGtfLF3umI5qJrG6mNbD1eprhk4fQrtpg8mLSaIsKw+PDkGNqr2+o7j4W9cPo83E/iT+u4PyvCLzSa6HK4UJ6fhEtLNliEIjIqZ4BEGwueDRvZm8chFelxR/Ovt5MfTD+fR44IoGiStzbzQnv6qanFRQDQp5sUmUpJ2radNcPEID8evduVbXliQJ38j2BI3s1SKTE4CAQV3xqKHeRuvhSoe5Ixm7ZKGxqZ+Zf4uSs9msGH4/hYnpdohUaAxEgiIIgl2ETBzAFSd/YNqWdxj17RNM/PcVrk39jW73zG6wmE5+vbrG4sv4JZsIv3kyyOazlD5P34iscUxH3OZEkmUGvnaHxWP6PnszTh5utJ00kLFLFppMJsGYUJbnFXFk0S92iFRoDESCIgiC3UiSRPCo3oTfPJnQGUPrvaNtfRUmpJlfunpecUoWwz5+kI5XjAaM9SmSVlO5OV2/F+fR5Y4ZjgjXrhS9gdzoRHKjE2us97ClzteMY+RXj+HkbZzikzQySKBxdWLAK7fT86IGbJm7TlhMKFW9gVPfr0Gp4d9UaJpEDYogCC2Ga6BvjQWwzn6eaF2dGffrs+Q8FUfczxsoy87Hq1Mbwm+ZjEe7wBqvk3cymeSVu1HKdPj3CydkQn8kuXF8HlQMBo69+RtR7/1J6flluq6BPnSffwW9nrjWIXslRcybSqdrx5G4bDtFSRm4tvalw9yROPt4VjmuOC3b5D5KFzOUlFd2+hWaF5GgCILQrKiqSm7UGUqz8vBs3xqvziGVz4VdP4G4H9aZfa2kkQm/ZUrl3/37hOHfJ8zqa+sKitl6y2skLtsOsoQkGfcA8urchrG/PkvAgC51+6JsRFVVtt64iPjfNle58Zdm5nHg2W/IPhDLuN+fc0gypXVzqXEnZ7cg/2rLsy+lcXVusIJrwb4cltK/9tprSJLEgw8+6KhLCoLQwiSv2s3SHrexrPf/sXr8I/wRfhMrxzxI1v5YAEImDSB4bB/jtMIlJI2Ms68nPR6qWwGvqiisv+xpkv7daXxAUStHagoT0lk9/mHy41Lr9oXZSPLK3cT/usn0qISqkrB0m8M7/FoSfvNki1NyklZD2E2THLZDtuBYDklQ9u7dy2effUbv3r0dcTlBEFqgqHf/ZN2Mp8iLTqzyePr2Y6wc/QBZ+2KQZJmJf79Mh8tHnW+eRuUndN/uHZi+9V082tY8hWPK2Y0HSdtyxOT0kWpQ0JeUc+yt3+p0bluJ+Xy5yeSsgqSRif70HwdGZJlfj450+b/pJkdRJI2Mk5c7vZ+8vgEiExzB7lM8hYWF3HDDDXzxxRe8/PLL9r6cIAgtUPqOY+x5+GPTTyoqhjIdux74kJnbP8DJy51xvz5LwZk0UtbsxVBajn+fMILH9LGqe6k5p3/ZiKTVmP3Er+oNxP24juGfPFjna9RX3onEGhvQ5UUn2ex6ik5P4j87iP91E6U5BfiEt6XLHTNqNdU17JMHcQ3wIeq9vzCUlFU+HjCwKyO/fqzaUnah+bB7gnLvvfcyY8YMJk6cWGOCUlZWRlnZhR/A/PyWtcOnIAi1p6oqm69+0fJBikrmzuPkxSbh0yUUgNL0c6Ss2UvSvztRDQoe7VvT7d45dLt/LlrX2q82KjtXUOMKIX1RKYrB0GBLlJ39PG1yjDVKs/JYM/lxcg6dqixMTt96hJjPl9Pt/rkMefdeqxJCWaNhwKv/R68F13F2w0H0JWX49eqEf6/a9aERmh67JihLlizhwIED7N2716rjFy1axAsvvGDPkARBaGbStx2lODXbqmMLz6Tj0yWUhKXb2HT1C3C+iBWgKDGDfU9+QdKKXUxe/XqtkxSvjsEWR1AA3Nr4N2j/lM7XTSBrX6z5lTGyRNj1E2xyrU3XvMi5o6cBKr/HFd+bEx8sRV9YgpO3B5IEwWP70m7GEIvfG2dvDzrMHWmT2ISmwW41KElJSTzwwAP89NNPuLpa1xL6ySefJC8vr/JXUpLthhoFQWhY+tJyUtbs5cyfWzkXdcZm5807kVjzQee5BHhTnlfIlpteRVXU6smEopK+7WidakUibp9uuaBTlom867Jan9eWIuZNwb1tgJkiYQ1urf2MNR/1lH3wJGmbDlmcTjr5zWqOf7SU4x8tY8OchfwZcTO5JxLqfW2h+bBbgrJ//34yMjLo378/Wq0WrVbLli1beP/999FqtRgM1f8ju7i44O3tXeWXIAhNm6qqHH3rN35tcyVrpy1g01UvsKzX7fw79F5yzn/Crg9r98Rxa9uKVv0iiPtpA4aScvOjCIpK9Md/m99x1wy/Hh3p8fBVJp+TNDLeXdvR/YHLa3VOW3P28WT65sX4RLY3xnW+CR2AV1gbRv+wwCZN21LW7LNYjFtJr6DqjPeCoqQMVo17mLIcMbUvGNltimfChAkcPXq0ymPz5s0jMjKSJ554Ao1oEy0ILcKBhd9w5NWfqj2evT+WlSPnM2vPJ/h0Da3z+dtNG4zsrEUpt3xjHfz2PUiSRM6hOGNNhIXRjpK0HMpyCnAN8KlVLIPevBPP9q058vovlJzNAUB21hJ24yQGvXknzt4etTqfPXh1DmHOkS9J23KYtE2H0BWXUnD6LKlr97Fm0uMABAyOpN9zN9Nu2pA6XUPR6WvsX3Ip1aBQmpVH7Ner6XVRN1lb0xWWkLEjCqVcR6v+EbiHBNjtWkL92C1B8fLyomfPnlUe8/DwoFWrVtUeFwSheSpKyeToaz+bfK5i6e3BF75j7M/P1PkaLv7edLt/LlGL/zA7KhJ240Q6Xz0WMDb2sobGxanWsUiSRPf5lxN5z2zOHT2NoUyHT2R7XHxtU3hqK5Ik0WZsX/z7hrNixP3kxyZXmY7J2hfDuhlPMfKrx4iYN7XW5w8Y1LXGgmGTFJX4XzfZJUFRdHoOLPyG4x8uxVB8fjGGLNFhzkiGffwAbq39bH5NoX4aR+9lQRCapdM/bbD4SVrVGzjzx1Z0BcX1us7ARXfQ5Q5j7YSkkc/v7yKBJNH7qesZ9d2CymPbXzbMcq2IRiZodO96dSeVtRpa9Yug9dDujS45udiRV36qlpwAoBgTvR13v1OnKZe2kwfi2SnYummeS+jy6/ezYIqqqmy5aRFH3/z1QnICoKgk/rOdlaMeoCy30ObXFerHoa3uN2/e7MjLCYLQwIpTs5Fky3vfqHoDpZm59U4IRnz6MD0fuZrTP22gNCMXj/atCbtpYrXGa23G98O/bzjnjsWbTFRUg0LvBdfVORZ7KDtXQMKfWynJyMWjXSAdLh+Fk6dbvc6p6PTEfLHC4r+NojNw6od19Higdt11JVlm/J8vsHrcw+gKSyxeo8rrtBr8enWq1bWskb7tKGd+22zyOVWvUBB3luiP/6bPUzfY/NpC3Ym9eARBsBu3YP8ai00ljYxLLWs9zPGJaEe/52+xfD1ZZtKKV1k79QnOHY03FomeHzFAgmEfPUC7qYNtEk99qarKkUU/c+ilH1DKdUga4zLmnfe+x6C37iLyzll1PndpVh66/CKLx0hauc6N21r1DWf24S84/u6fnPppPbr8YlwDfChOyTL7GlVvIPKuun9N5pz6Zo3lJnqKQszny0WC0siIBEUQBLvpfP149j/9ldnnJY1M+zkjHV486t6mFZcd+IyU1XtJ+Os/9CVl+HbvSJfbpjaqosljb/3GgWe+rvx7xQ1WX1TKzrvfRevuSvhNk2p1zsKEdMpy8nG2ZupJBSevuo/UeLYPYvDiexi8+B7j6VSV/259vfqGjZLxWl3umEGbCf3rfD1zCpPSa6yJqShqFhoPkaAIgmA3nu2D6PnwVRx7u3pfEUkjo3FxqnHEw15kjYbQGUMJnTG0Qa5fE11RCYde+sHiMfuf+pLO14+3qvlb6vr97H/6K7L2xgAgyRKugT6UZheAmVEuVW+g45Vjah+8GZIkMeqbxwkY0IVj7/xBUUI6AF6d2tDzkavpetesem03UEFfXMrpJZtIXrkbQ2k5JennQCOBwczScow9coTGRSQogiDY1cDX78DJy42jb/6Kvqi08nHf7h0Y+fXj+PXo2HDBNWIpq/eiLyyxeExxShaZu04QNKL6ysjsgydJWbsPVa+g6PQcevF7kC/c/FVFpTQ73zi9JUnVVkBJGpk24/sRMKirbb6givPKMt3nX063++ZQfDYbSZJwa9PKJokJQG50ImsmPmrsLixLxq+v4ndzMWlkIuZNs8n1BdsRCYogCHYlyTJ9n72ZHg9fRer6/egKSvCJDCVgYFeb3ZQag6z9sST9swN9SRn+fcLocMXoOu3pU6Esp8DK46qusinNzGXTVS+QtvVI5WqmyumNS2/S52/ekiShKiqyVouqGjvshkwawNglC+32byTJcp13jjZHX1rOmkmPGUdM4MLXayk50WpwDfSl+/y5No1FqD+RoAiC4BBOnm50mGP/vVQUnZ7k1XsoOJWKs68noZcNw7WVbYpwTSk7V8Cmq1/g7IaDxs6skoSi0+M8/wPG/rKQtpMH1um8Xp3bWHlcSOWfDeU6Vk98tLJlvFWrZxQVFZWBb95JSUoWWg83Olw+klb9IuoUd0M68/sWi0W4pkaKAgdHMvqHJ0UflEZIJCiCIDQbSSt2se32NynNyDV2i1UUZCctPR++iv4v34Yk27b1k6qqrJ/9DJk7jxv/rjdQcfsrzyti/aynmbHzAwL6d6n1uduM64tH+9YUJWWabEAnyTL+/cKrTJElLN3GuaPxdflSCBreg9bDetTptY1F8qrdlTsnm6SqSBqZkV8/hqIzEDCoq9gVuRETjdoEQWgWzm46yIbZz1CamQecHz1QQSnXc+T1X9j3xBd2uOYhMrYdM31DVFQUg4Gjry0x+VpdUQmFSRnoi0tNPi/JMiM+f8Q4TSNXnWaRNDKyi5ZhHz9Q5fHTSzbWOQmzalVPI6eU61EtTOeA8eei8/UT6HLbNJGcNHIiQREEoVnY/8zXqFQfwgdAhaj3/qQ4zbZLSc/8vgUsdUtVVM78tRXloiWuucfPsOnaF/nJ9zJ+73AdP/nNZuutr1MQf7bay9tOHsjU9W8ROCiyyuPBY/ow/b/3qj1elp1f600OkSR8u3eo3ECwKQsY0MW4ZNkcWcKvd2erVj0JDU9M8QgOU5hfxtaNp4g6eBaDotKlWyBjJ0fgH9DwG6gJTYuqqpw7Fk9ZVh6eHYKQNJrKaRazr1EUzvyxle73zbFZHLrCYrNLdCspKmU5+bi19iNrXwyrxj6EoVxfOeqi6PSc/nkDSf/uZOaOD6ptnBg8ujczd35IwelUSjJycW8bgGdoa5OX8oloR+auE7XbB0dVjdNfzaBgOeK2qRx8/jsUVQ+mBlIUle7zG3ZHacF6IkERHCL2eAZvv7SBslJ95Qfc6Kh0lv8Vxd0Pj2TQ8A4NG6DQZCQt38neJz4n70Ri5WP+/cJrfJ2kkSnLyrPqGvriUk7/spGzmw6BqtJ6eA/CbppUraGcV4dg0zfCSySv3EP4LZPZestrGMp01aaEVL0BXX4RO+5azLRN75g8h1fnkCoFsaZ0uWMGJ79ZbTkYybhyRdUZ0Hq4MvTD+Q4pXrYlVVFMTmW5Bfkz+ocn2XLDK1VXL51fZtz5+glE3DrFwdEKdSUSFMHu8nNLeOvFDZSX6auMvquKikFR+fit/3hxsTehHUUVvWBZ/O9b2Hzti1w6jn/uyOkaX6vqDXh2DKrxuKx9MaydtoCy7HxjwaVqrO3Y//RXTFj2Em3G9q08NmTyAA6/+pPlE0oSucfPkLnreJWkqlp8BoW0LUfIO5mMT0S7GuM0pfXQ7nS9cyYxny2vHoZGxr9vOJ2uGYu+oATPzm3oeOVonDzqt6ePoxScSSPq7d859cNadPnFuIW0IvLOWXSfPxdnnwv1M52uHotnp2COLf6dpH92ouj0+PfuTLf75xJ+0ySbF0oL9iMSFMHutqw7VS05udS6FdHcdu8wxwUlNDmGch077373/IhF1R8ma5bTat1cauyKWpJxjjWTH0NXUFLtvLrCEtbNeIq5x77Cq5NxCbBXmOURDeNJVDSuLuRaSE4ulncisc4JChj3EvKOaMext36j5HzNjdbTja7/N53+L9+G1t21zuduKDlH4lg15iF0RaWVoyIlqdkcevF7Tv+ygen/vVdlKXngoEjG/bKwocIVbEQkKILdHd6fYjE5URSVg3uTHReQ0OgZDAqH9iZz/EgaqqoSEdma1pnJ1ZqSmXRp19Dz+7wMeffeGncAjv1yJeX5xaYbeykqSrmO6I//YdCbdwLg0TYQv95hnDsSZ/G8+pJStB7WJQbaeu5SLMkyPR++iu7zLyf3RAKq3oBP19AmmZiAsd5o0zUvmdwVWTUo5J9MYc8jnzD62wUNFKFgLyJBEezOYMWnW8XCHhlCy5KanMfbL24gK6MIjcY4lbNhVSzuThDp3xrvnAyLr2/VN4LsA7GVf/fqHMKAV26n09Vja7x2wrJtFruOqgaFhKX/VSYoAK2Hd68xQTnzx1Z6P3UDGlcnDKU6s8e5+HsRNMI2vUhkraZZLKNN33qE/BjzOyqrBoX4XzYx+O277dqQT3A8kaAIdhceGciZuBwUM2/8siwRHmnbltdC01RcVM5rC9dSkFcGgOGixLVEB4eHTGTQpmW4lhabPcfIrx/F2ceTgvizOPt64t8nzOoVKobS8hqP0V9yjFKuR5Jli8t7ixLSkVSV7g9cydE3fjFbWNv7qRvQuNS9PX5zlH3gZI3fX0WnJ/d4AsGjejswMsHeRLWQYHfjp3ZBtTDHoygqk2dGmn1eaDm2bzpNXm6pyWRWBQwaLamdLPysSFAQn4ZnhyDajO1Lq77htVo+GzCgK5LWfI8MSSMbe21cROPsVK2RmimysxP9X55H5N2zjStpNDKyk7Zyv5zeT91Aj4eutDrWlkJ21lp8/6ggErvmRyQogt21aevDrXcbt7SXNRfeyOXzb+qzrupJjz7W7TvS0Kx5oxTqbvvaaItTLMgyGSGdzD+vwuarXyTPwpSAJZH3XGaxh4hqUOh2z+wqj7WdNshy3xFZpvWIHjh5uiFrNAz7cD5XxP5An2duosvt0+n3wq1cnfALA5pJLxJbazdtMDWt5XYN9KGVFUvNhaZFTPEIDjF2cgRt2/uw+u8THDt0FlVRiegWyOSZ3egzsG1Dh2eRYjBw6ru1HH//L84di0d20hI6cxi9HruGwMFi5MdWyvMKyTqeBJ6+Fo9T3SwXkaqqyokPlzH0g/trHUPgoEj6PX8LB5//ruqeLucLb7s/cDkhl2z+1276ELy7hlIQl4KqN9XyXqHX49dWecg7LIR+z91cYzyKTk/ivzvJ2BGFJEuETOhPyKQBLWqprFfnEDpcMZrEpdvMrtbq+di1yE7idtbcSGoj/kiYn5+Pj48PeXl5eHt7N3Q4QgukGAxsuf4VY0vzi1aHSFoNqqIw5qen6XzNuAaOsnk4/uEyvv3mIBltO6OauQFLqASU5tFj7TKL5/LoEMTV8T/XOZaEv7dz7K1fydgeBUCrAV3o+fBVdLp2nMlRjoIzaayZ+CgFp89W/pxUbFY4+K276zR1k3Uglg2zF1KckoXkpAHV2MvFu2sok5a/irc1S5xtTF9SRuGZNDRuLsYOvg4a8dEVFLN+zkLSNh0y/t/TGyp/73bfHIa8d58YfWpkbHH/FgmKIFgQ8/lydtxlurMnEshaLVcnLRFbtdvA2hlPcnx3PAdHzrB43OD0KNx377V4jHtIANck/1rvmBS9AVTVqk/nhrJyzvyxlcS/t6MrKsWvZye63jED73DrRghVRSH+t82c+HAZ2YfiMJSUgom9hSSNjFubVlwe9TVOXu7VzlNwOpWod/8i/rdN6ItK8ekaSrd75xB20yRkC/U1lpTnF3Hw2W+J/Wol+iLj5oY+kaH0eeYmwq6fUKdz1paqqpzdeJDTP22gNCcfzw5BdLl9Gv69wxxyfaF2bHH/FmNigmDB8ff/Asn8BnSKwcDJr1fTe8F1jg+umVHKdPjkZBJ66ihJ4b2M3/OKT8Xnv/9BaQn07RfMyf0as3UfklZD6+G2W6pr9bFOWvx6d8YrLATv8La4Bli/5FVVFLbe/Bqnf95wSR8XE8XCBoXilEziflxP5N2XVXkufUcUa6c8bmynf/77k33oFNtuf5P4P7YwcdlLtZ4K0RUUs3L0g+RGnakyxZIXk8zWG1+lKCmD3k/Y/+dfks5PcU3ob/drCY1Dy5nIFIRaUvQGco8nmE5OKqhU6bkh1F3g4EgkjUzn4/uJPPgf7gW5lc+5FhcScXwvo91y6HbvZagGC4WsegPd7p9j/4AvcvLb1fwRfiN/97mDFcPvZ0nIVWy+/mWKz2Zb9fqYL1YYkxOwXCRcSSL+t01VHjGUlbNx7rPoS8qrJm/nz5eyZi/H3vrNqngudmzxH+QeO1O9/uP8/4v9T31FYUJ6rc8rCDURCYogmCHJknEJaA3HyC5ODoqoeevyv5mAsfFrcFIcgzb/zfDVvzB89RKGbPiTtnHH6Xn/XPx7dWbIe8YC2IuXBFf8W/V74VaH9sM4+sYStt32JoVnLtykVb2BM39sZfnQeylJz7H4elVVOfbOH7W7qKpSnldU5aGEv7ZRmplrfndlReX4B0tRzCR3udGJHHz+O3bN/5Cod/6gNDMXVVWJ/vQfiz1IJFki9quVtYtfEKwgpngEwQxJlmk7dRApq/eaXT2gGhRCpw91cGTNk1fHYEZ88Qjbbn/LmGzoDTiXl8H5gtnIey6jw+WjAOh+3xz8+3Qm6p0/SF1/AFAJGtWbHg9cQdtLVtnYU3FqFvuf+srkc6reQPHZHA6//JPFFUX64lIKYmu31YOk1eDXs+py68w90chOWhSd3uzrStJyKE7NxjO0deVjhnId2+94m7gf1iFpZCRZRjEY2LfgC/q9PI/S9HOWg1Eh/1RKreIXBGuIBEUQLOj12LUkr9xt8jlJo8G9bSs6XN60tqpvLFRVRVFUNBeNUkXcOhWfrqFEvfMnyat2o+gNBAzsQvf5V9DxytFVVmoEj+rd4J1DT3231uLzqt7AiY+WcerHdQSN6EH3+dUTKElT+8JVVW+g652zqjwmazVW9em5tK5m133vE/fTeuN5DUplMq4oevY/8UXNwciSyWJdQagvkaA0oJysItb8c4Jtm09TXFiOf4A746Z0YcL0rri5iWmDxiB4dG9GfvUY2+94Gzi/u60sg6LgHuLPlHVvig6WtRQXm8XKpVEc2JOEYlAJauPFpBmRjJvaBa1WpvWwHrQeZpsiV3sriE87X9Rq+ThdXhEpa/eTvHIPfRfeRL8Xbq18TuvqjGtrX0ozcq2+brf75hA0omeVx0ImD+DY2xZqTCQJn8hQ3IL9Kx8qSs4k9qtVluusaqDqDXQSS+0FOxAJSgNJTszl1afWUFKsq2zrnZVRxB8/HmTHltM8/eoUPDxdGjhKAYyf6kMmDiD2y5VkHzyJxs2F0BlD6XjVGLSuIjmpjb07Evj4rf8AKn/uM9IK+PGrvRzal8xDz4xHq206pXEu/l5WH1tRuHropR8IGtWLkIkDKp9rN20Ip75bU+M5PDu3oddj19D1fL3OxUIm9Me3R0fyYpJMr3BSVcJvnVJlFCrx7+1Wx2+KpJEJHNqNNuP61us8gmBK03knaEZUVeWjN7dWSU4uPAdnk/P55ev9DRSdYIpHu0D6PX8LE/9+mXFLFhJ+06Qmn5yoqkry6j1svOI5lva6nZVjHyL6s3/RFZXY5XpFhWV89s52FEWt8nOvqoAKUYfPsm55tF2ubS+drh1nuc29CZJGJur9v6o8NuiN/1kuyJYkejxyFVee/IHIO2eZbEomyTKTVryKR6iZjTcliUPPf0f6jqjKh3SFJUhW7CNkTpvx/Zj4zyuiSZpgFyJBaQAnT2SSmpRndndfRVHZsTWewoIyB0dWs7Mpefz7+1F+++EA/22Io6S4nEN7k/n7tyOsXBbF2ZS8hg5RsIKiN7DlhldYN/1JEv/ZQW7UGdL/O8rOe97l777/oygls8rxCadz+ObjXTz/6Epee2Yt61ZEU1Jc886/F9u28TR6S/vcqLBueXST2u+oVd9wOl452qrNAiuoBqWyQ20F10BfRnz+iHEJ0yWnkmSZgEFd6f/CrTUmAp7tg+gwd9SF/jFVLqxiKNOz8YrnKgtpfSLbmy0Ar0mvx69lypo3cPGzfhRJEGpDTPE0gPhT2WZ7f1Uw6BWSE3OJ7BHkuMAsKC/T8+UHO9i9LQFZlpAkMBhUvvzA+LyskVAV+PXbA/Qb3I47HxyBm3vTHmFozo6+voT4XzcDXLhBnf+BLExIZ+MVzzNz54dIksTSJYdZtuQIsixVJtUnjqXz7+9HWfDSZEJCrWtIlhifgyRJFhOQ7KwiSkt0TepnZ9T3T6L1cOPU92uNyYUVfUxMNYCLmDcV93YBHHn1J9K2HAHAJcCHbndfRq8nrkXr7lrjeQ1l5cYlv+a+x4pCafo5Ev/eTscrxxA6fQiuQX7nlyfXLjH0F5vzCXZm1xGURYsWMWjQILy8vGjdujVz5swhJibGnpdsEqydY29Mc/Gfv7edPdsTAOMIj8FQ9c1MMaiVN57D+1J4b9HmJvVJuCUxlOuIevcPszcxVW8ga080WXui2bM9gWVLjDfLS0f8CvLLeOvFDehNbZBngtZJU210wBRNHduxNxStqzOjvnmcq07/xJB37iVk0gCLX6ek1dB22mCTz7WdNJBpm97hhtx/uDbtD649+zv9XrjVquQEjMml7pL+KJeSnTRk7Ys9/2cto79fgCTLNfb8uZjWw5XQmWJ5fVNWlJzJoRe/Z8tNr7Lz3vdI23qk0b1n2/UOuGXLFu6991527drFunXr0Ol0TJ48maIiy/+Bmrue/UJqLJr39HKhY2d/ywc5SEpSLnt3JFpd6K8oKieOphMTlWHfwIQ6yTuRSFl2vsVjJI3M2Y0HWbk0yuRsARj/nbMziziwO8mq6/Yd2BbFYP6HSJYluvcOxtm5aSUoFTw7BNH9/rmM/uFJY0JhbtpHUejxwOUWz+Xs7YFbaz/kWi5Blp1rXv2nqiA7Xxg8bztpIDO2vU/IpIGViZXsdP66Zr6Efs/fgpOH5V2lq19XJXNPNAef+5Z9C74g/vctGMp1tTqHYBtH3/qN3ztez6GXfiB+ySZivljBqrEPsXr8w5TnFTZ0eJXsOsWzevXqKn//9ttvad26Nfv372f06NH2vHSjFtTGiwFDQjm4N9lsHcrU2d2MnzgbgT3bE6oM71tD1kjs+i+eyJ6NY4pKuMDaT0lleoX4U5ZbtcsaiajDZxk8okON5+szoC0h7XxIS803+bOkKCozr+hp4pVNi1trPyYtf5V1M59CX1J2YQfs8yMUo759glb9Iuxybc8OQXiFh1AQl2pqGx/AOELWbvqQKo8FDo5k8spFlOUWUp5biFtrXxL/3cmu+943JrPn9wfSerjS7/lb6PHwVbWKqzQzl41XPE/6tqNIWg2SJKHo9Li29mXc7881eD+bluT0LxvZ9/hnJp9L33aMzde/wuQVixwclWkOrUHJyzMWUPr7mx4ZKCsro6zsQmFofr7lT3lN2R0PDGfxSxuJPZFZefOXNRKKQWXMpHBmXN543qhLinXni/OsT1BURaW4qHZFlIJj+ES2x8nHw+JUgGpQCBjaA/Yfq/F8ipVFlrJG5tHnJvDGc+tJS81Hls/Xo0gSEnDL3UPo0aeNtV9GoxY8pg9Xnf6J2C9XkrJ2H4peT9CIXnS9cyZenez3NUqSRJ8nb2Db7W+afl6rIWBgVwKHdKv2nKFcx5nfNhP9yT/kx6Xg7O1B2C2T8eveEX1hCa6BvoTOGoaT54WRE31JGUnLd1GSloN7G3/azRxWbXWbYjCwZuoCzh2JA4wJUsU7SVlWPmunLuCy/Z/iG9neNt8EwSxVVTn00vdmN0BVDQopq/aQc/Q0/r06N0CEVTksQVEUhQcffJARI0bQs6fpm++iRYt44YUXHBVSg3Jzd+bJV6Zw9GAqO7fGU5BfSmBrT0ZPDKdzREBDh1dFcIg3hlpW+kuSRGCQqO5vjLSuznS7+zKOvLHEZGGkpJHxiWxPhwl9CPorgfSzBWbPpRhUwiPNLGs1oVWgB6+8P4uDe5I4sCcZXbmedh38GD0xHP9WzasbqWugL72fvJ7eT17v0OuG3zqFgvizHH75R9BIcNG0mluQH2N+erLaaiB9SRlrpy0g/b8jgPHmpS8s5cR7f+Hk5c60zYvx7x1W5TUxny9n7+OfocsvrhxhcfLxYPBbd9Hl9umVxyWv2E3OwZMmY1UVBUWn59jbvzHyi0dt900QTCqMP0tetOUpWUkjk/TPzkaRoEiqg6pi7r77blatWsW2bdto166dyWNMjaCEhoaSl5eHt7e3I8IUTCguKmf+vD/Qldeu38Mbn8whqI1IUhojQ1k562cvJHXtPiRZvrAZnCzh1tqPaVvewSeiHRtWxfD9Z3tMnkOSwM3diXe/vhIXF9OfdRSDgYJTqagGA15hIaLrroOoisLma1/izB9bjXUkKpWfmj07BTNt8ztV9uPZ+8TnRL39u8lNASWNjEf71lx58gek8/sixX69iu3/95bZ64/69gnCb54MwNabF3H6l40WlzNrPVy5qWBF3b5YwWrnos6wrNftFo+RnTT0fOxaBrx8W72ulZ+fj4+PT73u3w5ZJnLfffexfPlyNm3aZDY5AXBxccHb27vKL6HhuXs4c+tdQ2o+8CKzr+ktkpNGTOPizKTlrzL6hydpPbwHbsF++ES2p/+L85hz5Et8Ioz/T8dN6cLwMcZN6S5u6CXLEk5OGh54cpzJ5ERVFKLe+5PfO17PX91uZWnP21nS5ir2P/M1hjIx9Wdvxz9YakxO4MLM7PnPokVJmWyY/UxlLZK+tJyYz/41u2OxalAojE8jZe0+ABSdnn0LLO/Rs2/BFyjne96U5xbV2GtFX1Ta6FaQOJKhrJzc6ETyT6VY3Dm6vjw7BqFxs9yhXNEZ8OvVyeIxjmLXKR5VVbn//vtZunQpmzdvplOnxvFFC7U3cnwYnt4ufPPRLnLPme806uQkc+P/BjNmYtPvkZCTVcSaf6PZtimuWe6VJGs1hN0wkbAbJpo/Rpa444ER9BscyvqV0SQn5OLkrGHwiA5MnB5pMglVVZUd97xH7OfLqzxenlvIkdd+JmtPNJNWvIrsJNow2YNiMFjck0fVG8g5FEf6f0cJHt2b/JPJxmkaCySthsxdJ2g3dTBnNx6kLMtyQ8aStBzSth4hZHw/vLu0Q9LKqBaWo3t2btMiu9HqS8s5/NIPRH/yD+W5xtUzHh2C6P34tXS9y3TH4Ppw8nAjYt5UY0JqKmmUJVz8vOgwt3FsgGrXd4h7772Xn3/+mb///hsvLy/S0tIA8PHxwc2tdkvUhIbXd2A73v7ict57dRNHDqRWq7MKDPLk6UVT8PNv+rUEqUl5vPzUakqKxF5JsiwxeEQHq1bqAGRsP1YtOamkqKSu30/cT+uJuHWqDaMUKhScPktxcpbFYySthrMbDhA8urfJpnHVqCrS+eNKa0hOKpRm5gLQ9Y4ZRC3+3UIwEpF3XWbVOZsTQ7mOddMXkL71COpFtWBFCensvPc98mKTGfLOPTa/bv+XbyNt8yHjnk0XJSmSVoMkS4z95Rk0VixXdwS7TvF88skn5OXlMXbsWNq0aVP569dff7XnZQU70mplHnpmPA8vHE//IaG06+BLt97B/N/9w3n1/VnNIjmp3CupyPxeST+LvZLMivliReXNzCRZIvqTfxwXUCOg6A2kbztK8qrd5Mel2vVa1raur1h95d2lHe5tLRfmqwaFtlMGAuDRvrXFYyt4djC2GPDpGkrf524xPnjJiICkkQkcEknk3bPQFRSjGGpX59aUnfxmNWlbDldJTi52/L0/ydxr+72pXHw9mbH9fXovuB6XAGMXaEmrocPlI5m588Mqm1g2NLtP8QjNjyxL9BnQlj4D2jZ0KHZxMjqT5MRcs88risrOLfFcd+sAPL1bxihKbeSeSLC8gZ6ikn8qxXEBNSBVVYn59F8OvvAdpRm5lY8Hj+3D8E8ewqdrqM2v6dW5DS7+XpTlmF99peoNBI3oAYCs0dDz0avZ89DHJo+VtBoCBnUlcFAkAEEjeuLZKZjCM+mmuxHLEt4R7aosZe733M14dQrm8KKfyY8xriJx8vYg7MYJoMKvIVehKyhB4+pM2I0T6b3gOrw6h9T1W9AkxHz6LxcqmE2QJHbd/wET/noB9xDbrux09vGk/0vz6PfiregKitG6uTTKKdfG00tdEBqJM+f3SrLEYFAsJjEtmYu/d42b5zl5ezgomoZ19LVf2Hnve1WSE4D0/46yfNi9dknUNM5OdLtvrtl/A0kj49kpmLZTBlU+1n3+5XS9a5bx+YrRr/Ov9+nSjvF/Xmj/IMkywz95yFg0fek1ZAlJlhn24fxq9RPhN0/m8uPfcOXpn7j8xLfM2vMxCUu3EfP5cnQFxro2Q2k5J79dw98D7iLn6Ol6fR8au7yTyZY3ZFNVsvZE81uH6zj08o92+cAvSRLO3h6NMjkBkaAIQjUarWxVS7rGtFdSQ9EVFHPqh3UcfWMJp35Yh66whM7XjrO48ZykkS0W5jYXJek5HHjuW5PPqQYFXUEpB808X1+9n7qetpONCUjF0mAwfu+dfTyYsOylqo9LEsM/fpAZ298n/KZJtB7eg3bThjD6x6e4bP+nuAdXba7ZdvJAJq9+Hb+eVRc++PcJY8raNwiZ0N9kXJIk4dUxGJ+uoex+8CNKM3KrTUmpegP6whK23rSoWY/CO3tZNx2uGhQOPvtNi5sWBQf2QakLW6yjFoTaSj9bwON3L7N4jIenM+99cyVOjWQ7goZw/P2/2P/Ul+iLy5A0MqpBQevuQr+XbiPm038oiE+rNtVTcYOcc+RLmw9bNzZR7/zBnsc+tZysaTVcn7UUZzuMKCl6A6d/2Uj0p/+QH5uMk7c7YTdMJPLuy3Bv08om11BVldyoMxSfzcY9JAC/Hh2tel1hQjq/d76+xubUM3d9RODgyPoH2gjteeQTjr//l9U1Q65BflyT9Kt1Rc2NgC3u341zXEcQGlBQGy8GDA3l4B7zeyVNm929RScn0Z/+y+4HP6r8e8WbrL64jL2PfMLAN/5H/G9byN4XUzlloOoNeLRvzYRlLzX75ASgKCkDWaNBUfRmj1H1Bkozcu2SoMhaDeE3TSL8pkk2P3cFSZLw69mp2khKTc4di7dq54xzR+KabYLSff7lxH610tgDxookpTT9HJl7ogka3sMB0TUOIkERBBPumG9ir6Tzv4+eGM6MZrCpXV0Zyso58MxXFo859uavXJ30K1n7Yjm7fj+K3kDr4T1oO3lglamF5sw10LfmpluShEurljc6XFOzsNoeZ2uqotj959SzQxBTN7zNhrnPUpycadVr9IXme1A1RyJBEQQTqu2VlFdKYJAnoyaEE9al+X/6t+TsxoMWV4gAlGbmkb71CCETB7SoT3wX63z9BPZbSOQkjUzbaYNx8Wt5HZdbD+9R44aVspO2SiGvvRUmpHPsrd849cNadPnFuIW0IvJ/M+n+wOU4+3ja5ZoBA7pwVfxPHH3tFw4s/MbywRJ2WfXVmIkERRDMaO7LqeuqpuSkQml2892N3BqeHYLodv/lnPjgr+rTGbKMpNXQ/4VbGyK0Bqd1dabXY9dw4JmvTR8gS3T53wxcz/fpsLeco6dZNeZBdIWllXVTJanZHHrxB+J+3sCMbe/bLRZZo6H3k9dz8pvVFJxJBzP7IbWZ0L+yt0xL0TLGWgVBsBnPjsFWHefVqY2dI2n8Br99F72fuA7ZpWpnTq9OwUxd/xat+kU0UGQNr/eC6+h23xzgfBdTjVxZr9TpqrEMfvtuh8Shqiqbr3kRXUFJtaJuVVEoiEtlz8Ome8TYiiTLjPr+STTOWiRN1duypNXg7OfFsI8esGsMjZFYxSO0SPGnstm+KY683FL8WrkzanwYoR39GjqsJkFVVf6KvMXYEdVUEbEs4dM1lLnHvm6R+6uYUpZbSPLK3egKivGNbE/Q6N7ie3NebnQip75dQ1FyJm6tfQm7aZJDE7e0/46wasxDFo+RtBquTf3d7iM6OYfjOPTi9yT+vQNVUZCdtYTdMJG+z97c5EZPbHH/FgmK0KLodQY+e3c7e7YnIGskVEVFkiUUg8rYyRHccudgZI0YWKzJ2U0HWTPlCVDUKoWgkiwjaWSmrHuT4NG9GzBCQbBO1Ht/sueRTywuBweYtmkxwWP6OCQmXUExZecKcA3wQevu6pBr2pot7t/inVhoUX75dj97dyQAoBhUVNX4O8DmtSf565fDJCecIzU5r3KvEqG6NuP6MW3j2wQM7lrl8YAhkUzdtFgkJ0KToXF2smrJ86XTdPbk5OWOZ/ugJpuc2IoYQRFajIL8Uh6Y9ycGKxMP/wB3ZlzekwnTuojheAvy41IpOZuNW5tWeIc17/1TGjNVVcnYfoyT36w2Tpe08SfshomETOjfYpZ210XBmTT+CLvBYpLiEuDDNcm/NppdfpsC0ahNcIiKHiBNXdThs1YnJwA5WcX88Pke0lPzueH/HLfc0dZUVaWsVI8sSzi72P6/vHdYiEhMGpii07P15teI/3UTklaDqjcgaTXEfb+OkMkDmfDXCy3+07g5Xh2D6XjVWBL+3Gq2YVrPh68SyUkDEAmKYFJ+bgmr/znBlnWnKCwow8PTmVETwpk2uxu+/tbtIdHY6MrrNmWzdnk0w8d2plO4bdqDO4qiqGxZd5LV/5wgLcW45DesSwDTL+/BwKHtGzg6wZYOLPyG+N82A1SuRKn4/ez6A+y8731Gff14Q4XX6I388lHKsvI4u/GgyQ2GYz5fTvDYPrQe2r1B4mupxBSPUE12ZhEvLVhF3rnSKq3eZVnC09uFha9NpXVw02sulXA6h2cfXlHr18kaiTETw7n17qF2iMq2CvJLOX4kDV25gb07Ezi0N6XKG64kGwuDr7ihL5dd1atBYxVsQ1dYwi/BV2AoLjN7jKSRuTrp12qb/gkXqKrKqvGPkL7lcLXnJFlGdnFi1p6Prd5vqKUTRbKCXXz90c5qyQkYP5EX5pfxxfs7Giiy+unQ2R+tU+1/5BWDWjkC0VjpdAa++3Q3D8z7k4/f+o8v3t9hTE6gyqdB9fy/6Z8/HSIxPqcBIhVsLWNHlMXkBIx7JZ1dv99BETVNOYfjTCYnYOyHouh0HH7lRwdH1bKJBEWoIv1sAccOnTW7SZ6iqMQezyAlKdexgdlIcEgdMnkJnJwb78aAqqry8Vv/sWlNrNU1NrIssXHNSTtHJjiCUq6z6jhDuflNCwU4/fOGykZxpqh6hTN/bMVQVu7AqFo2UYMiVGHtp+qE0zm0DfW12XXz80rZtCaWXVvPUFKiI6SdN+OndaX/4FCbFuiOnhDOL9/so1YTmyocO3SWvTsSGDS8g81isZWT0Zkc2J1Uq9coikrC6ZY3gqKqKpm7T3D6pw2UZufh2SGYiHlT8OnSdPc48e8XDrJUYx+P5rorsK2UZdU8SqrqDegKStC4ODsgIkEkKEIVWq11g2pOTrYbUUhOzOW1Z9ZSWFBWmTjknSsh6nAag0d04O6HR9qsedrI8WGsXBpFfl71KSxLFMU4SvHCYm/aN7KOs9s2xiFrpMp+LtZycWm8o0L2oC8pY/M1L5G0fKfxk7KqgiRx9PVf6Pno1Qx8/X9Ncjm5R9tAOsweQeI/O0yuQpG0GgIHR+LXs1MDRNd0eHYMoqZPLloPV5x97bNxoFCdmOIRqojsGYRzDdMZWq1Mt17W7cdSE8Wg8O4rmygqLK/y3lCRPOzZkcCqv0/Y5FoAHp7OPPnKZFoHG99kNBoJjcZ4U6rx3iTBuuW2i8VW8vNKa52cAAxoYSt5dtz1DskrdwHGT8KqQalc6XLsrd84/t5fDRlenZSk53Do5R8pTEivtocLGItjXQN8GP3Dk3a5vqFcx+klG1k/dyErxz7E9jsXk7U/1i7XsrfwW6ZU1miZImlkIuZNQ7YwDSTYlhhBsbHC/DK2bY4jJTEPF1ctA4aEEtkzqMl8MnNzd2bijEhWLYsy+WFCkmDslAg8vVxscr0jB1PJTC80f4AKa/49wbTZ3Ww2ihIc4s2iD2cTdfgsJ46lgQpdurdmxV/HiD2eafZ1ikHl4J5km8RgS37+7rUaQalYjTVyXGc7R9Z4FCZlEPfjeoufkI+89jPd7p2N7NQ03hbTtx1l7fQnMRSXXdhuoGKqR5Zwa+1LxLxpdJ8/F7eg2q3eUVW1xves4rQc1kx8lNzjCSDLoChk7Igi9osV9HjwCga9fXeTed8D4+7TfZ65kcMv/VDtOUmrwS3Ij95PXd8AkbVcTeN/YhOxfdNpvv5oJwaDgiRLSMC65dGEdQngoWfG4eXdNBolXXFDX85lF7Fz65nKG1/F7/2HtOe6WwfY7FqxxzPQaCQMFm6ueedKyMossunSZlmW6NUvhF79LjQY++e3ozW+rjaN3hxl5PgwNq6u+VNrxb+hj58bjz0/ATf3ljOPnrxyNzX1My/NyCX7wEkCh3RzTFD1UHaugHUzn0JfXFq19qTiz4rKmJ+foc3YvlafU9Hpifl8OSc+WkZebDIaF2c6XD6SXo9eg3+fsCrHqqrKxsufIy/2fMJ+PkGqGJGKevdPvCPaEXn3ZXX+Gh1JVVVOfrWSuB/XVX9Slmg/axhD3rtPLNN2MJGg2MjxI2f5/L3tlX9XL7rhxp/K5p2XN7Hw9al1/kRRUlxOzPEM9HqFDp38CQyy3zyoVitz50MjmTSzG9s2xpGbU4yPnxsjx4UR1jXAtp+KrDyVuUsaDArnsouRNTJ+/m71ii08MpD4U9lma1NkWSKsS2Cdz28vnSNaMWx0R3b9d6baAIEsS7i6O9GrTxtc3Jzo2bcNA4aEorVhDVFTYCgpN/4Q1VBjYChtGis0Tn27Bl1BidmvR9JqOLb4d6sTFEO5jvWzniZ1/QFABRUMJWXE/7qZM79tYcKyF2k3bUjl8Zm7T5C567jFcx55Ywld75zZJNrs73/yS46+saT6+5EkETCoK2N+floUxjYAkaDYyD9/HEOWJZM3N0VRiYvNIiYqg8ietdsyW69X+P2Hg2xYFYOu3FD5eJ8BbZl371D87NTVVZIkwroEENYlwC7nr9CtZzAr/oyyeIx/gDutAqsmZHqdgeV/RbF+RTQF+cYeEMFtvZl1RU9GjOtcp0Rl/JQurP3XfI2JoqhMmlG7lRDxp7I5ciAFg16hY3gr+gxoi8bGuyVLksQdD4zAP9CDdcujKS+78HPSo28bbrtnKP4BHja9ZlPj36dzjatcJI2MT7fGUZdTEH+W0qw8PNoF4t6megfj1I0HLCZbqt7A2Q0Hrb5e1Dt/kLqh+jlVvQFVkth0zUtcm/o7Tp5uACT+u7NyWsecooR08uNS8YloZ3UcDSHncJwxOYHqg2yqStaeGGK/XEm3e+c4OrQWTyQoNlBaouPEkTSLx2g0Evt3JdYqQVFVlc/e2cbeHQnV3ouOHkzlpSdW8+LbM/D0tk09SEPo0acNwW29yThbYHbkYupl3assNdbrFRa/vJHjR9KqfF/SUvP54v0dpJ3N58ob+tU6luC23tx691C++XhXlWSz4s/T5nSn9wDr9pzJzyvlwze2EBOVgSxLSBIYDCp+rdy4/4mxNk/8NBqZq2/qz6wrexEblYFOb6BDJz8Cg5pex19bUwwK2X5B5AwchOFsFn5pSWgNVXuCSBqZDleMwq11w67QOrvpIPue/JKsPdHnA4O2UwYx6I07q6zCsVTMedFBVl1TVRROfLDUfAKnquiLSjj98wa63DGDo68vIeqt3ywmJ5Uv1RtqPKahxXyxonL/ItNUTnz8j0hQGoBIUGygvNy6/4RlZbVrlHTyRCZ7tieYfE5RVHKyi1m3Ipq51/Wp1Xkbg1MxmaxbHs3xo2koBgWNVka56PtYkRSMmhDGpJlVRy3+23CKqMMmEsLz76///n6MwSM61mk58NjJEYSE+rD67+McO3gWRVEI6xrIlFnd6De4nVUjMwaDwpvPryc5IRegSuKVd66U159dx0vvzCSoje2TBzc3J/oMbFvn1yuKSnFROU7OGlzssLGgox07lMpXH+4kJ6sYQnpACMh6HR1jDxN66phxRF+S8GgXyJB376v39QryS/lvQxyxxzNAgu69ghkxLgwPz5qnB5JW7mbD7GeosvuICqnr9rN8+P3M2PYe/r2NtSBBw3uSumav2URF0si0Ht7TqpjLsvMpTs22eIyk0ZC1P5bi1GwOvfi9Ved18vHAq3Mbq45tSHkxiZYTKRUK4lIcF5BQqem/AzUCnp7OeHq7UJhvvt20oqi06+Bbq/P+tzHO7LQRGD9FbV57ssklKOtXxvDD53uqrDypuO8HtPbAyUlDSKgP46d2oUefNqQk5rJ+ZQzHDp1FVVWKiy13zpRlic1rT3Lz/wbXKb4u3VrTpVvrOr0W4NDeZBLjz5l8TlFUdOUG1vx7os7x2UN5mZ5Vy46zflUM+bmlAPToE8ysK3vZbEm5o0VHpfP2ixu5dLsxRevE6e4DUWSZjrFHQFXx7dkJt6D6jZ4cO5TKe4s2oys3VI7sHdybzJ8/H+LhZ8bTtYf50VNFb2D7HW8ZE45Lp1kMCoaSMnbN/5Dpm98BIOL2aRx6+QfUcp3J2l/VoND9gcutilt2tvI2oKgcfvUnqw6VZJnIuy5rEnUbzr5eSLJ8YSWUCdrzU1uCYzX+6qUmQNbITJjW1eKna61WZsTY2i3rPJddXGMzsdxzJbU6p7WyM4tYuuQwn72zjR8+30Ps8Yxqb/R1cSYumx8+3wNQZVlsxamzM4u497HRzF8wlp59Q9ix+TTPPLiczWtPkpleSFZGEcWFlgsZFUUlNTG33rHW1e7tCRa73yqKys4t8Q6MyLLyMj2vP7uOpUsOVyYnACeOpvP6s+vYseU0YCzUzkgroLjIdoWkqqpSEH+WvJgk9DYuUP3tuwOoqmq2VCOhSx90TsYbaPKKXaSuq/teNRlpBbz7yqYqyQkAKpSV6nn7pY2cyyk2+/qUtfsoOZtjtq5ENSikbz1CflwqAO7B/oz77VlkrbZKe/aKP/d+8nrazxpuVezOPp4EDu1mXKJshqo3ILs4mWwEZ0rrkT3p++xNVh3b0DpdNcZiciJpNYRdP9GBEQkVxAiKjcyY250j+1M4czqnyrCrLEuoqsrt9w3Hw7N2tSI+fm7WLDwgJSnXpm3nV/wVxe8/HLiQcEnGUY/uvYOZ/+RY3Nyc6nzu9StiLI4KSZLEhlUx3Hr3UGKi0vj8vdpvTChJNOgS2uLCshoTy9IS6/ZPcYRVy44TF5tV7ees4mv48v0d7NmWwOH9KSiKiiQZm7xdfn2fev3cnfxuDUde/Yn8k8bhcydvd7reMZO+z9+Mk0f9PrFmphcQF5tl8RhVkskM6UhIQiySVib265W0nTywTtfbsDIGg8F0MqSqxmngzWvMj3YWxKVatcqoMP4s3mHGOqj2s4Yz+/AXnPhwGYn/7EAp19F6WA+63TeHkAn9axV/7wXXs2HOQpPPSVoNPpHtcfH3QtLKqDrLU9q9F1xH3+dubhKjJwDt54zAt0dH8mKSqk31SBoZjaszPR60bjRKsC0xgmIjLq5OPPnyJGZf3Qtvnwv9Trr3DmbBS5MZNqb2baZHjutcY3IiSbDmH9t1N92x5TS/fX8AVTXeoBRFrRzpiD6WzmfvbKvX+U8cS7N481YUlRNH09HrFd5btKVO11BVGDSi4VZjBLf1QdZYrlWx1zLx8nIDSWfOkZKUi2LFp11FUVm/Ksbiz5nBoHJoX3Llv5uqwoHdSbzw2CrOxFmuXTDn4Avfs23eG+SfujC3r8svJurdP1g9/hFjf496yM+zvLsvgKSqlDsb/6+qeoWCU6l1vt6BPUkWf65VReXAHvP7Jbn4edb8SQSqtVn3jWzPsA/nc03iEq5L+5MJS1+sdXIC0P6y4QxefA9IUmVH2orfvTq3YdKKV/FoF1hz0asE3eZf3mSSEwCNsxNT1r1JwMCugDEhk84vw3dt7cfUdW/i1dm64njBtlrkCMqZuGySE3JxcdXSo08b3D1s85/JxdWJudf2YfbVvSkuLMfJWcbFte6jDZE9g/D2cSU/z/ybtarC3h2J3HbvsDpf58K5VJYtOWL2eUUxdlKtz4iNNd1gZY3EwT1JFNUwlWPytbJE62DPBt3Ub8zEcNYtjzb7vCTB+GldbHrN8nIDy5YcZsOq2MrRGR8/N6bP7c7kmd3MTjkVF5VXmdYxx9Toiq7cwFcf7OSld2fWKta8mCQOvfDd+RNfch2DQtb+WE58/A+9Hr26Vue9mF+rmpffq5KEa2mR8S+yhGs9alD0+pqTQZ3O/DGhs4ahcXXCUGp+ZM2zUzCt+kfUKT5r9HjwCtpfNoyYL1aSe/wMWg9XOswZSfs5I9A4O9Hx6rHseuBDlDLTMUoamZDJA5tkMzP3YH9mbH+frD3RJK/cjaFcT+DgSEJnDROt7RuQQxKUjz76iDfffJO0tDT69OnDBx98wODBji8QTDpzji/e31FlF1cnJ5nJs7pxxQ19bdafoqKVeH1JkkRIqI/FBAVAV8OQq7XSzxaQfrbA4jGyLHFwT3KdE5Te/ULYmB5rsRla734h7NuZaPU5jf9uKgaDSrv2vjz0zDibbmZYW6Ed/Zg+twcrl1bv7yLJEp3C/Bk/xXYJil5n4O0XNxATVbVOKO9cCb98vZ/UpDzm3TPUZI2UUw37LlmiKCqJZ85xJi6bjmHVe3WYE/vlSsvLOhWV6I//rleC4t/Kne69g4k+lm7+Z82gJyA1ofKa4TdOqvP1OkcEkJtjfhRF1kiEdzW/tNzZx5NeT1x/IXEzYcArt9u96ZlX5xAGLvo/k8+5+HoycNEd7Hn442rPSRoZ2dnJ7GubAkmSCBzSrUl0Em4p7D7F8+uvv/Lwww/z3HPPceDAAfr06cOUKVPIyMiw96WrSD+bzytPriHpTNXVFTqdwoq/ovju090OjcdaHTr7Wyy4lCRoG+pjk2tZs1xakqxfVm3KxBldazi/xPhpXSm18EnyYt16BTFpRlemzu7Ogpcm8eI7MxpFU7Krb+7HrXcPIaD1hVhc3bRMmdWNBS9Nwvn8El6DQSH+VDaxJzIoLKh5WsKUbZtPE30s3WwR85Z1pzgZbXqPIRcXLT36BFv8GavJ2eSat6m/WN7J5BqnCgrPpFksXLTGdfMGoNXK1b+289+nsKh9aA16JI2Mf58wOlwxqs7XmjQz0vLUpUFlwjTLP/t9F95In6dvNO4FJEmVBa9aD1dGfP4wna8dX+f4bKXHg1cw/LOHq402teofwfT/3q1cBi0ItmD3EZTFixdzxx13MG/ePAA+/fRTVqxYwddff82CBQvsfflK//x+lLIyvdk3kS3rTjH1su6E2OhmbytjJ0dYrDFRVWrd3dSc1kGeODlrqnSsvZTBoBJay+XSF2vT1od7Hh3FJ2//V1nnAsaRE0mWuO+x0QS18SKkrQ+H96XUOC1/w+2DCK1DvxN7kySJMRPD8fF1ZefWM+jKDXTp3poxk8JxcXVCVVXW/hvN8j+PVY6QaTQyQ0d35Pp5A2s1ArdxVazF+kpJgq8+2MHQ0Z0YPqYTQW28qzw/68peHK+h0aAlrm61extx9vFA0sgWV4Ro3V3rPVrQvpM/Ty+awvef7alSMOtSWkyn6AMEJxtXJ4VMHsjo7xegca7HdGyPIGZf3Yu/fztqssnf1Tf3p1O45VEmSZbp/9I8us+fy+klm8jcdRyNuwsdrxhd5+Jde+h6xwwi5k0lY0cU5bmFeIWF4NejY0OHJTRDkmqLtaNmlJeX4+7uzh9//MGcOXMqH7/lllvIzc3l77//rnJ8WVkZZWUXPkXm5+cTGhpKXl4e3t5V31RrQ68zcOd1SyzOE8uyxPS5Pbjqptp3ILW3lUuj+PW7A9VvQhIMGBLKfY+NttlOv99+upsta0+aTOQkCTy9XXj3qyvRaqter7xMz/7dSWRlFOLl7crAoe0t3mQz0wv46+fDxm6wQHjXQK65pV/lzTMtNZ8n7vnb7OsBho3pyF0P1f1Trz1lZxbx5gvrOZucbyyYVY01PlonDXc9NJLYExkmE09Zlghq48XC16dZ1dxLUVTuvO6XKu3tzam4WY6f2oWb7hhU5Wdmx5bTfPXhTgx640aXYPzUL0mSxeXlLq5aPvjuqlo1dUv8dwcbZpteMQLGIsXwWyYz8otHrT5nTVKT8shIL8DD0xmfgnNk7TpurJmY0B+frqE2u87BPUms/ucEJ09kgCTRrWcQU2d3r7IppSWqqnLig6UceO5bdHlFlY97dgxixOePEDLRdht1CoI95efn4+PjU6/7t11HULKysjAYDAQFVW1QFBQURHR09SLCRYsW8cILL9g8juJiXc1FbBLk5dqnp0h9TZ/bg+AQb1YsjeLU+aH6wCBPJs+KZOK0rjZLTgCuvKEv0cfSSE+t2nq+IjnSajV8uvg/xk/tQrdewUiSxPbNp/nh8z2UFOsqm699/9keZlzeg7nX9ak2xJ6fW8Jn727n5InMyjbw+3clEheTyf0LxhDeNZDgEG+uuqkfv/9gej+RTuH+3H6f+T4PikEhOTEXnU4hpJ23Q5cd6/UKrz+7jsz0wvOxXPg+6nUGPnxji9nRDkVRSTtbwNp/T9TYgO9kdAafvbPdquSk4twAG1fH4uqm5ZpbLtzsho/pTO9+bdm2OY6UhFycXbT0HxJK/Klss/8GALOu6FnrjrPtpg+hVf8Icg7HVR9FkSVkrYaej9S9/sSUkFCfi0ZHW9N6kOXplrrqNziUfoPrnvAce/t39j3+WbXHCxMzWDv9Saaue5PgMU2rMaMg1JVdR1BSU1Np27YtO3bsYNiwC6tMHn/8cbZs2cLu3VXrPuw2gqJXuOu6XyxW0cuyxKwre3L59X3rfJ1LJcbnsG5FDMePnEWSJHr2bcPE6V1p16HuUxJlpToMBhU3dyfb7ip8kaLCclYti2Lj6liTK2kqPolPmNaF7r2D+eD1rWbPNfua3lx+0Y3WYFB4/pGVJCfmVhulkWQJZycNL707o3IkZfe2Myz/4xiJ52uHPL1dmDitKzOu6ImziQJPVVVZtyKaFX9FkZtjTDidnGRGjOvM1TcPsGpUor727kjgwzfMf0+s6W3j4+vK+99eZfb5xDPnePHxVeh1BmtWp1aj1cq8/+2V1XrznInLZsu6U6SfzcfTy4XBIztyOjbLWPArSciShKIau51WjDjW5eewNCuPjVc8T/p/R4y1FpKEqtPj2tqXcb8/R/Co3rX/opq48vwilgRfaX5HZVkiYGBXZu36yLGBCUIdNPoRlICAADQaDenp6VUeT09PJzi4evtsFxcXXFxsv/GdViszfGxn/tsQZ7YGRVFURoyrXadXS7asO8k3H+9Cki7MR29Zd4rNa09yxwMjat1VtkJ9li1by8PTmStv7Mfsa3rz2J1LyT1XUuUmWPH1bFgVy94dicYtys3cJFf8eYwpsyIrb4QH9yRXJhuXUhUVnc7Amn9OcPOdxq3dh4zsyJCRHcnLLUGvU/D1d7O42mrJN/tZfcnUiU6nsHV9HKeis3jm9an1ajRnjf27kyxvUWBFQpGXW4rBoJj9Wv/+9QgGvVKn5ASMSfuRA6kMG93pfEwqP325l3UXNdKTZYnd2xLoGObPS+/O5Mj+VHJzivH1d2PY6E71KkZ2DfBh+pZ3yNwbTfKK3RjKdLTqH0GHOSOMRaINrLzcgF5nsOsHgUslLN2GoczC0npFJWtPNPmnUvAOr/t+S4LQVNj1ncDZ2ZkBAwawYcOGyhoURVHYsGED991X/425auOyq3qxf1cSxUXlJm8ck2dGViserKvE+By++XgX6vm6gwoV1/3ive10CmvV6ApyL3V4XwrncixPe9W0BFqvVziwO5lRE4zV/Xu2n7F481YUlR1b4isTlAo+vjV3Fk1OOFctObn4vClJuaxfHs2sq3rVeK760JUZjKMM9eDiojW7sqa0RMf+XYl1Tk4qlJVe2Lxy3Ypo1q2IAS78nFb8nhh/jl++3s/jL1jX7ltVVTJ2HqcoMR3XAB+Cx/Y120sicFAkgYNsU+RtCyeOprH8r2McO3gWAD9/NybNjGTyrG52X7pekpaDpLG0q+7549LPiQRFaBHs/lHl4Ycf5pZbbmHgwIEMHjyYd999l6KiospVPY4S0NqTha9P5ZuPdhIddWGJs5u7E9Pn9mDmFdbt/GmNdStiLBYXVrRzv6kRbRZnSvSxNDQaCYOh7ndCSZYoKrwwbWcuQbzYxTfO2tiy/lSNIxcbV8fWmKCoqkp5mR4nZy05WUWsWxHD7m1nKCvV0zbUhwnTujJkZAeTtT/6iiLTeiQPsiwxYlxns5/ci4t19U5OgMoEWTEoLP+zes+WCoqiEnX4LElnztW4Yip1/X523PNula6srq19Gfj6/4i4ZUr9g7aj7ZtO8/l726skhudySvj9h4Mc2Z/Co89PtGuS4tE2oOZOrYB7W/P9VAShObF7gnLNNdeQmZnJs88+S1paGn379mX16tXVCmcdITjEmydfmUJaSj4pScZCwK7dW1f2pLCV40fO1tjOPaoeyzodxRY3QVVRq7R1Dw7xJuqw5Xb3gcF1awOfkVZYY/KTk12Mqqomb/75eaWsXBrFlnUnKS7SodXKKIpaZcO5U7FZnIzOZN+uRO59dFSVJCXxzDkWv7SRc9nmN4UDQIKgNl5kpBVW2bcJjMmJs4uWaXO6m325p5cLTk6yxZoqMF/rUrFSKCIyEIDU5Dzyath0UpYljhxItZignN10kLXTn6zWv6Q0I5dt895A1enp8n8zLF6noeTnlvDVRzsBqv0MqSrEHM9g7b/RzLi8h91iaD93JFoPV/RFpkclJY1M6+E98OrYNHeXFoTacshePPfddx8JCQmUlZWxe/duhgwZUvOL7Ci4rTcDhranV78QmycngFVz1g6a1q6XLt1bWxw9kSQrvg4JevRpU/nXsZMjLCYRkgQTptZ+hYVeZ6CkuObW+K5upmsKzuUU8/yjK1nzzwmKi4xN4vR65XyCcuG4ioRi365E1l7Uzj4/r5TXFq6t8UYvSdCrbwjPvT6NgUNDKx+r+NQeEOTJU69MpnWwl9lzODtrGDamc43N1dzcnasdI8sSWq3MHQ+MqPw+WNOm3Xic+U/3qqqy+6GPjcmJmX/fPY99hr6kbs3o7O2/jact7l2kqrB+ZbRNdvQ2x8nDjUFv3mX6SdnYuM3s84LQDDV8NVoz1LNvG7asO2WxnXvPi27ajdWAIaH4+rmRn1dq8mux6r1aheNH0+h/fulluw5+zLiiBytMTClIskRYRCvGTa1dG/j8vFLeeHYdSQm5Fo+TZYkRY01v2vjD53s5l11c4whMJRXW/HuCybOM+9xsXnuS4sJyi98Td3cnLru6N5NmRqLVytz3+Bgy0go4vD8FvU6hQ2e/yqXbNZlzTW8O7U2msMD0zskDXAsISowj2q8jCVpfDIrx6x84rD2zr+lNu/a+lccGh3jj7KKxuFxZUVQ6R5ifWsg9nsC5I6ctxqzLKyJ5xS46Xjmmxq/P0ZITztXY8yUnq5iyUj2udiyyjrxrFhpXJ/Y//RUlZy9syeHXsxPDPn6QwMGNp15HAH1xKTGfryD6s38oSkjH2deTsBsn0f2By/FoG9jQ4TV5IkGxg4nTu7J57UmLx9TU9rox0DppeHjheF5buI6SEl3l6EFFnUevvm04euisxXNIEmSd7wdS4aob+9E62Ivlfxyr7BXi5u7EuMkRzLmuj8nlw5Z8/NZWUpLyLB5jnDrRMHV29amT3JxiDuyufdFpTlYx+bkl+Pq7s/u/MzW+PiDIs9rUTetgrzp1Am4V6MGzb0zl+8/3cGT/hXoPN9lAu0N78Eo+RbHeQHv5MG0lGbceYUz/+wX8OrSudi5XNyfGTAxnwyrTeyTJskSrQI8qI2GXKjlrxa7GskRxat12P7Y3J2eNcTVaDS5tUGgPEbdOJezGSWRsP0Zpdj5enYLx7xvusNVEzVnWvhhO/bCO0oxzuIcEEH7rFPx71W1Fpa6gmFXjHyH7wEmMnRihJO0cUe/8wcmvVzFty7uiw249iQTFDtp18OOO+SP44v3tVZYZVwy33/XwSILb2mbFkL116OzPax9dxsbVsezZlkBpqY52HXyZMK0rvn5uNSYoqgoeXlWXjkuSxNhJEYyZGE5GWiEGvUJAkGetExMw1n2cOJpe43H+Ae7c9/gYk1MnKUl5da63qfg3tWbvoIpdhm0lMMiLRxZOIDuziLTUfFKWbiXppS+Qq6wJV9FgQHc8jh03vsKM/94zea4rb+zHyehMEk7nVPleyLKEi6uW+58YY3FKya2NFZsFKiruIdZvKuhI/YeEsmXdKbPPy7JEz35t0DpoE0pZqxEN2WzIUK7jv1teJ/7XTca+O4oKskTUO3/Q5X8zGPbRA8ia2v3b7lvwBTmHTlUbSlYNCuV5RWy66nnmRn0jEst6EAmKnYwY15lO4a3YsCqGqCNpSBL07NOGCdO6NpnkpIKPrxtzr+3D3GurvmGqqkrrNl5k1LADsre3q8nHJclYrFkfxw6lIslStWLTS933+Bize6HUZUdfSYI27Xzw8jF+be06+JGTZX6KSJalejXos6RVoAd+fq4cnfZH1eTkIqreQMb2Y2TtiyFgYPXRO1c3J556dQqbVseycXUsWRlFuLk7MXxsJ6bM6kZAa8uFy77dO+DfJ4yco6fN1qA4+XjQbuYwk881tN79QmjXwZfUpDwz05kqMy+33Uo/wbH2Pvop8b9vBriwUup8yVHsFytwD25Fv+dvsfp8uoJiTn6z2ux+UqpBIS86ibQth2kztm89Im/ZRIJiRyGhPg22lFhVVU7FZLJ7WwIlReUEhXgzcnwY/q3cbXYNSZK45pb+fPDaFovHfffpbt74dE69dsw1R1VUS33iLhx3yY27rExPUWE5np7OdA5vhae3C4X51hdwqirMuLxH5aej8VO7cGhvstnjK/bAsZe86ERK0nIsHiNpZFLX7TeZoICx98rU2d1NToPVRJIkBr19N2unPI4qYbJAadDr/0Pr6rgtB2pD1sg8+twE3nphA8kJuWg0UmUfI41G5v/uH07XHo5feehoqqqSsf0YaVuPgApBo3sRNLJXkx4FKM3KI+az5WYTZ1Q49s7v9Hr8GrTupj9MXSr3RKL5jr/nSRqZrD3RIkGpB5GgNEMlJTo+eG0zUYfTLrzRAn/9fIhrbx1QpxuQOR07+9d4TGZGISeOplmsYairzhEBNRa2OrtoCGln7PmRmpzHsiWH2bsjEUVR0Wplho3uxNhJESz/81iN16uov5lxeY8q3YB79w9h9MRwtq6vOk1QsdR3zKRweva1X2G0pZ2BLw5GsaLPRl2FjO/HpBWL2HnPuxScvjD15xrow8DX/kfEvKl2u7Yt+Pm789I7Mzl6MJWDe5PRlelp18GPUePDarW7dFNVcCaNjZc/S86hOKTzy+dVg4Jf785MWPoiXp0af2G/Kanr96PoLPdW0heUkL7tmNW7RkvW1CKpaqPoityUie9eM/Tp29sq6zIuXSb8yzf78fV3Y+go06tZaistNb/GYyQJzqbk2yVBiewZRJt23tU2N6y8tmysd3F1c+JMXDavPr0WXbmh8li9XmH75tO4uTsxcnxntm08XTnSI0nG719oR188PF0oK9UT2tGXcVO6VFvRIkkS8+4ZSsfO/qz6+3hl8W9gkCfT5vRg3JQIu34K9e7SDq2XG/oC88ucVb2BwKHd7BYDQNvJA7ni5A9k7IiiMCEd10Af2oztS865UjasikGvU2jfyY/InkFmvx+qqpK6dh8xny8nNyYJF38vwq6fSNiNE3HyrLmjcH3IskSfAW3pM6BldWotzy9i1diHKouYL054c48nsHLMQ8w58iUuvnXrUdSQahrpqO1xAP69OuMa6ENppvnifFVRaTvFuoRHME0kKM1McsI5Du0zP9UgSfD3r0cZMrKjTW6YrlbsDaSq4Opqnx81SZKY/8RYXn16DUWFF3WpPT/vExbRiitv7Iuqqnzx3o4qyUkFRVEpKdaRlV7Iax9dxn8b4sjKLMLb24VhYzrTOaKVVd8rWZaYML0r46d1qdwCwNvH1SHD41o3FyL/N4uod/6o1igNjMPNnh2DCZnQ3+6xSJJE0IieBI3oSVmZns8+2Fm5yqliRCk4xIu7HxlFx7CqdUGKwcDWmxYRv2QTkkY23igliYztxzj65hKmbX4Hz9DqK5GE+jn5zWqKkjJNTs2pegPFKVmc/HoVPR82v4FlY+XfJ6zmgyTw62X9hzbZSUvPR65m34IvTJ9OKxMyoT++3TtafU6hOoc0ahMc5+CeZIu1HqpqnObIvGTpb111imiFj6/leVuNRqbvwHY2uZ4pIaE+vPzuTGZc0QP/AHdcXbWEtvfl5jsH88RLk3FxdeL0ySyTOyhXUBSV6KgMJCSuvrk/9zwyihvvGExYl4BaJxiSJOHj64aPr5vFUQKdzmDTxl/9XryV1iN6GJOzi64raWScvD0Y/9cLSLLj/surqsoHr29h97aEyvtexe8ZaYUsemYt6ZcUWB99fQnxv242HlvxKf78HGVRUiYbL3/Ors3SWqrTP2+oobGRStxP6x0WT9b+WGI+X87Jb1dTnJpVr3O16hdBqwFdKqetLiVpZEImDaz1FFbPR6+myx3GzsjS+b2mKq7h3yecMT89XY+oBRAjKM1OWbneqi61ZaV6CvJL0Tpp6rW7r0YjM/e6Pnz7yW6zx0ya2dXuc/i+/u5ceUM/rryhn8nna+qTUiE1Oc+uq6zyc0tY9fcJY2O3onJcXLWMHB/GjLk9aBVY992BwTiKMmXtG5z8dg0xn/5Lflwqzj4ehN80iW73zcE9xLF7uJw8kcnRA6kmn1MUlfIyA6uWRXHr3UONj+n0RL37p9kbpao3kL0/lsxdx2k9zH4t51uisuwapmpVKM+xvFrPFvJikthy46tk74+tfEySJTrfOInhHz9gdRHrpUZ/v4AVIx9AV1CEelHnZEkj49rajxGfP1zrc0qyzPBPHyJi3lROfrWK/FMpuAR4E3b9REJnDTO7QaZgPZGgNDOhHfxq3NxPo5F44/n15OcapyEiIgOZdWUv+gysed49L7eEzWtPcmB3ErpyA53CWzF+Wheuuqkff/50CFVVkWUZVVVRFJVxU7pw9c32n1ZQVZUTR9PYuDqW5IRcXN2cGDyyA6MnhOPp5YKLlVsauNhpKgogJ6uIF59YTd65ksqRnLJSPZtWx7JrazzPLJpa7x2uNS7ORN45i8g7Z9ki5HrZsTUeWSOhmPl5VBSV7ZtOc8tdQ5AkidzoRMqyLCeSkkbm7MZDIkGxMe8uoRQmpJsttpY0Mt5d7DcKClCUksmKUQ9Qfq5qIqQqKqd/XE9p+jkmrVxUpylT324dmH3wM46+8Sunvl2DvrgUJx8Putw2jZ6PXYN7cM3F/qZIkkTrod1pPdR2Cw+EC0SC0sz0HxKKp5cLRYVlZkdsDQa1MjkB4wZ4i1/eyM3/G8yE6eY73MbFZvLm8xsoLdFXDrOfTcln26bTXH59H979+gp2bI4nO6sIL28Xho7qVO8+J9ZQVZXvP9vDxtWxVXYzPhOXzaqlx1nw8iR69g2pcYM9dw9nunS3X33Dd5/urpKcVKiogfn0nW28uLhxbqZXF4X5pTX2pykvN6DTKcYmfdZM3dTQjl6om653ziRl9R6zz6sGha52TnqjFv9B+bkCk0mSqiikrNlbr74inu2DGPbhfIZ+cD+GkjI0bi5Nevl0SyBqUJoZJycNdz8yElmWq9WimPu/WHET+eGLPWRnFpk8prREx9svbqS0VF/lBlFxs/3r58PExWYxbU53bvy/Qcy+urdDkhOAzWtPsnF1bJV4wHi/Kywo4+0XN+LqpmXyZZZXsMy6sidOduoUmp1ZxKF9KRZrYBJO5xB/qnG2gq+LgNaeNd4AKnZmBvDpGopzDatEVL2BoJGmG6YpBgMJf29n/exnWNbn/1gz+XHiflyHocz61RktVftZw+gwd6TpNwlJIvSy4bSfPdyuMZz8do3F5fKSVkPcD+vqfR1JktC6O6Z4XagfkaA0Qz37hvDsG1PpPyS0Mknx8HTGzd1yrYkkSWxZb7rd986t8RQVlpv9RCzLEquWHa9f4HWgqiorLVxXUVSyM4s4vC+FK6/vW9ksTZYlNBoJWZaQJJhxRY9q++TYUnINGxlWSIi33GytKRk9IdxijxpZlqosv9a4ONPt3jlgpshb0mjw7d7BZAt4fWk562c+zca5z5K8cjfnjsZzduNBtt78GsuHz6csp+bl8C2ZJMuMXbKQvs/ejIv/hQ8Wzn5e9F14E+N/f67WreBrQ1XValM71Y7RGyjJyLVbDELjI6Z4mqmOYa24/4kx6HQGysv0ODtr+L+rf7H4GkVVSUnMNfnciaNplUtETb5WUYk9noFiUJDNVMvbQ15uaY2t9jUaiRNH0+g/JJRb7hrC1Nnd2LE5nry8UvxbuTNibOd6F6jWROtk3ffEXiM4DSEk1Iepl3Vj9T8nqj1XsQHhpU0D+yy8kaz9saSs3nNhmTGALOEa6MP4pS+a/OS7f8EXpKzbB1xY/VOx3PrckTj+m/cGE/9+2ZZfXrMjO2np99zN9H7yOvKiE0EFn8hQNC727/4rSRJubfyr7OBc7RitRiwxb2FEgtLMOTlpcHLSGFt2a2UMevNDqLIk4WymmLTRTvtbGdjFRwW18WbudY7diC0iMhBXNyeLGwZqNBK97NhttiFcO28AfgHurPgzqrI3jCxLDB7RgRtuH4jnJRtJapydmPjPy8T/tpmYz5aTfzIZZz9Pwm6YSNf/zcQ1oHoRcXl+ETGfm29lrhoUkpbvJD8uFe+wENt/kc2MxtkJ/95W9A6xsa7/N4PDr/5kfn8bvYGI2xp3N2LBtkSC0kJIksSAIaHs25losQ5iwNBQk8916daavTsSzJ9flugc3sqhoycA3r5uBLT2ICvDdO0MGIuCu9qx+NUazi5aps3pztJfDpt8XpJg9MRwvH3t2ynV0SRJYupl3Zk4PZKE0znodAZC2vng7WN+uais1RB2/QTCrp9g1TWy9sbU3AVUhbTNh0SC0oh1f/AK4n5ab3o1kQTht0wxu4+U0DyJBKUFmT63B/t3JWJqdz1ZlggO8abfINNLCUeM68wfPx2krFRvctBCVVSmXNYNvV7h0N5k4mIykTUyvfqF0LVHa7sVpMmy8Qb445d7zT7v7etKv8GmEy9HOXowlZMnMqqsMgIql+H2HxLKDf83yKExGQzGf6vd285QVFhOUBsvxkyKoMP5/ZVKisvZvjmeA7sTKSsz0CnMn3FTu9A21LfW19JqZcK62KcPi6nOuaaPa6zDgAKAi58XM7a/z8573ydh2bbKETEnb3d6PHAFfZ69qYEjFBxNUhvxmr38/Hx8fHzIy8vD29t+zbNakoN7kvhk8TbKSvXIGmPSoJzfb+bhhRMs7nZ84mgai1/aiF6vVN5kK264U2d3Z9Dw9nzw2hZyz5WgOX9ug0GlfSc/HnxqnN3qPBRF5cv3d7B98+kqCYAkS7i5ObHgpUmVN92GsOzXIyz95XDV2M7X80R0C+S6eQPoHFH7jrX1UZBfylsvbOBMXE5lXBW/T7msG6MmhPHGs+uN0zLnE9qK56+5tT/T5zSePiSl2Xn8GnJ1jRvCzT32lWg93kQUp2aRc+Q0GhcnAod2R+vW/DdrbG5scf8WCUoLVFKiY8fm0ySczsHJSUPfQe3o0aeNxRb5FTLTC9mwKob9uxLPN2oLYOKMrgS18eLpB/6lrMxQ7ZOqLEsEBHnyynuzjP0u7EBVVQ7tTWbDqliSE3NxddMyZGRHxk3pgq9fw02bxESl8+rTay0e89I7M2jfybEJ1GsL1xITlWF2us/N3YmyUr3Z5x96Zpxdty+orW23v8mp79earF+QtBqCRvVi2oa3GyAyQWiZbHH/FlM8LZCbmxMTptVtLjcwyJNrbx3AtbcOqPL4L1/vo9xEcgLGEY6MswXs2X6GkePsU3wnSRL9Boc2+FTOpdavjLHYTVXWSGxYFcu8e4Y6LKaE0zmVu12bU1JsvphXliVWLY1qVAnK4HfuIefoaWOLdEkyTg9IABIeoYGM/n5BQ4coCEItiT4ogk3s/C/eYs8LSYI928wX2TZXJ6MzzSYnYJxeOxmd6cCIjPUw1oyWmVOxsaLewoowR3P29mD61vcY/unDtOoXgWugD749OjLozTuZfeAzPNoGNnSIgiDUkhhBEWyirMTy/L+qQnFRy+voWVGLY4lW69jPCXq9cn50oX4a2+yw1tWZrnfMoOsdzWe7AEFoycQIimATQSHeFndRlmWp3hvhNUX9BodaHK2QZIm+ZlZO2Uun8FYWR3VqIknQrr1vs2oqJwhC4yMSFMEmJkzrYrFnWsXOxi3NxGldjatzTG9xgpNWZuzkCIfG1KtvG1oFephNnCRZQtZI5vduUmHyrEg7RigIgiASFMFGRowLo2ffNtVuahV/nzq7O53CWzk+sAYW3Nab+QvGoNXKVb43kmRs3vbwwvEWl3bbg6yRmb9gDM4uWpMbSnbs7M+9j41Co6m64aR0/s8jx3Vm1IRwh8YsCELL06KXGVc0ojp6MAXFoBIeGciYieH4+jv2htFc6HQGlv95jPUrYyjMLwOgdRsvZsztwZhJ4S1699DccyVsXX+KmGPpIEH33m0YPTEML+/qHVWLCsspLCjD28cFN3f77YOSmV7Imn9PsGPzaUpLdAS09mT8tC6Mn9IFZxctqcl5rF0ezb6dCeh1Cu07+jFxRiSDhrdv0f+WgiDUTPRBqYfTJ7N48/kNxsLN842oJMk4tH33wyMZNLyDTa/XEIoKyziXXYy7p4tDP6Xr9QrZmUVotTL+Ae7iZmalxDPn+OvnQxzam4x6vjHaoGHtufyGvgSH2KcPkGJQOLg3mTNxOXh6u9Crb0iLrBUSBMG2RIJSR4UFZTx21zJKS3Qml8bKssQLi2fQvqOfza7pSJnpBfz+/UH2XrTvTkRkIFfc0JduvYIbOLqWI/dcCWmp+bi4aOnQyc/iPkVxsZksemYdhou69ILxZ9HFVcvC16fWqcW8OYpB4c9fDrFq6XEMlxTMdu8dzD2Pjqoc3VEUlRNH04g6chZVMXa/7TugrcP3XRIEoekQCUodrf77OEu+3W+2qFPWSIwY25n/u3+4za7pKBlpBbzw2CqKi8qr3OiMoxgqDzw5ttE1M2tusjOL+PHLvRzck1T5M+bkrEGSjDtGd+oSwOQZkfQb3A5JklBVlQX3/UN6aoHJpbuyLBHeNYCnF9lmJ1dVVfnwja3s25lo9ph27X14/u0Z5OYUs/jlTaQm5VXZvqBVgAcPPj3W4R1wBUFoGmxx/7bbR6AzZ85w++2306lTJ9zc3AgLC+O5556jvLzhe2Ec2pdsecWJQeXgnmTHBWRDP3+9r1pyAsabkgp8+cFO9DpDwwTXBNU2fz+XU8yLj6+qnKapoCs3UF5moLRUT8yxdN5btJmfvtyLqhobtaWl5Ju9lqKoxJ7I5GxKXn2+lEqH96VYTE4AkhPz2L45jkVPryMtJR8wJiYVoy3ncop5beE6cnOKbRKTIAjCpezWqC06OhpFUfjss88IDw/n2LFj3HHHHRQVFfHWW2/Z67JW0etq7oBpMLGnR2OXe66k2o2xCtU4vXVoXwoDh7V3aGyOVlamZ8OqGDauiiUrowg3dyeGjenEtNndCAzysvja8jI9G1fHsmFVDBlphbi4aBkyqgPT5vQgpJ3l+ox/fjtKfl6pxa66Fc+tWxFD1x5BFtvKX+xsSj5t2ta/PmTj6lirjlv99wmys4pMPqcoKsXFOjaujuXy6/vWOyZBEIRL2W0EZerUqXzzzTdMnjyZzp07c9lll/Hoo4/y119/2euSVgvrEmCxeZYsS3SOaHpLYjPTCyyODIHxa0s/m++YgBpISYmOV59aw2/fHSAzvRBVVSkuKmfT6lieeXA58aeyzb62rFTH68+uY8m3+8lIKzQ+VqZn28bTPPfwCmKizO9ho9MZ2LYxzmJycjFJlljz7wlc3ZysOt7NyuNqkpps3UhMTlaxxY6zqqKyc2u8TWISBEG4lEOr3PLy8vD3b/g563FTu1gculcUlUkzml4jKmuWpCqqavUNsan688eDJMafq5asKYpKeZmBD17fYjaJ+Pu3o8SdzDb5Wp1e4YM3tpidIisqKKO83PrpM1VRiT+ZTa9+bXCqYZdnT28XIiJts5+Mm7t1//6yLEENuZa1oz+CIAi15bAE5dSpU3zwwQfceeedZo8pKysjPz+/yi97CA7x5pa7hgCYbEQ1eVakw9uP20LbUB+C23pb/NQrSxIDhjbf6Z2yUh1b1p8ym4Aoikp2ZhFHD6ZWe06nM7BxdazJHZnBmFAU5JWxf3eSyefd3J0stvs3RZYl3NydmT6nu8XjZl/dC62NWssPHdXJquM6dPa33KZfosYpL0EQhLqqdYKyYMECJEmy+Cs6OrrKa1JSUpg6dSpXXXUVd9xxh9lzL1q0CB8fn8pfoaH2W20ybkoXnnplMn0HtsPZWYNWKxMRGch9j4/m+tsGNsneHZIkceUNfc1+6pUkmDC9K75+bg6Ny5HSUgsoL7M8iiFrJM6YmObJziyqcURAo5E4E5dj8jkXVyf6D7G8906VOGSJXv1DAJhzbR+mXNbNuNJHltBoZGNfHlni8uv62HREb8ykcLx9qjeIu1ifgW2Zc01vi9NVqgrjp7W87QsEQXCMWhfJPvLI/7d33/FRVWkfwH/3TjKT3jskQwpJ6CWQQEAgEEABFxTLWlAUURQrrCg2xFVBYGVXXnbR1QV3wYYFFERKKNEQWhJaSALpvRCSTHqZe94/hgwMmZlMwrTMPN/PJ2rmnjv3mTvXmSfnnvOc5Vi4cKHWNiEhIcr/Li0tRVxcHGJjY/HZZ59p3W/lypVYtmyZ8neZTGbQJCViiC8ihvga7PlNYWysFE8uHYft/z6NtjY5RCIOAgPAFGvhPPRElN6OVZRfg5NJ+WhqbIevnzNipwSrrYxqTCJdVgZmgI1t13a6rCrMGGCrZt9O8x4cjvMpJYpZU93cHhEEhjvnKnpOeJ7Dw0+Owcy7ByE5MQ91tc3w8HTE+MnBek8onZwleOPDGfj4r4eV42w6cZwieX/kqbEQiThMvTNc7aBajgNGje2PaDMqaJh75Sp+23UJqaeLIe8Q0F/qhulzIjExLlTnpJEQYj4MWgelpKQEcXFxiIqKwvbt2yES9ayL2tCl7i1Zc1MbTiYVoKq8AY7OYsRMGABPb0e9PHdbawc++3sSTicXgucVvWaCIIDjOcRNH4iBg3zg4++EkIFeRu+JEuQCli3+ETXXmrW2e//vcxB4SyE+xhj+8sxPuFqpfuZKp3fW3YnQcM3jQbLSK7Bl4x83Bpne8n8Yzytqn9z36EjwPI+mpjb4B7hiTGwQJBKDTazrQhAYLp4tRfrZMsjqWiANcceUGeEqY5QYY0jYdxn7dqUrz4urmx2mz4nErHuGQGQmxdpOJRXgX3/7HcCNWVIcp0gooydI8eyyiVRYjhAjMutCbSUlJZgyZQqkUim+/PJLleTEz0+3aqaUoJinLR//gRO/53dbIySgvyueWDoO4YN8jBSZwsG9mdj+79Nqt/E8h0HD/LBidXyXbQ31rVi++Ee0tHRofO7gMA+sWj+r28RLkAu4eK4MpUV1AAe0NLfj8qVKtLcLCA7zRFVlA1JPFClWDuYUNUbs7W3x5PPjET3BfHolOnWO3WGMwdPb0WwSEwCQ1Tbjlad+REeH5tIATzw3zuirRhNizfTx/W2wP9cOHjyI7OxsZGdno39/1QGnZly8lnSjoqxe56mlZSV1+Ojtg3hzzUyEDPQycGQ3xM+KwNWKBvz2cwZ4EQdBzsDzHASBQRrigef+cofa/RITstHaqjk5AQB3Dwd89o/jaKxvhbevEybFh0Ea0nVmGi/iMXx0Pwwf3a/Lts/+noS06wNtmcDQOWKmubkd/9yQCEeneAwZ4d+zF21gPM/B29fJ1GGo9fvhHK11izgOOPBLBiUohPQxBktQFi5c2O1YFdL3pJ4sUpZn7w5jir+8v/tvKl7/6wwjRKfAcRweenIMJsSF4NjBbFSW18PRSYyYiQMwQssaMqeTCrodN5J6qliZ7PA8h0O/ZiF+dgQefWqsTrezKspkSDqaq7XNj1+fM7sExZzlZasftNyJMaCkqA5yuWBWPT+EEO2Md8ObWISWlnbwPCDXsdyHYqG5Cly72ggPL/2MgdFVULAHFjwdrXP7Vi23dm7WOcah89+H9mbB28dJOeBVm1NJBcoERx3GgOzMKtRea4Kbh/FWoO7LbGz5bpPmzhmGhJC+g/6cID0S0N+1y+q3uqirbTFANPoVFOIBXtS7L7G9P6ZrHQPRqamxXacvyiYjF0Bra5PjVFIB9u26hD8O56Cp0fRrZulqxOh+WqdDK6Zz+9NMHkL6GOpBIT0yOiYQjs5iNDW0dXs75GaubqadfqyLqXeGI/lY70q3y+paUJRfg+Aw7Usk+AY4d7vOk40ND3fP3veeMMaQl12Nq5WNcHQSI3Kor9ZbG8nH8vDfz06hqbFN2btja8tj7gPDMee+oWbf8zAmNgge/3NA7bVmtYmKIDDMmjfEBJERQm4H9aCQHrG1FeGZlybq3J7nOQwa7mf02zu9ET7IB3ddr+jam+9kuQ49KDETB0As0Tzdnuc5jJs0oNfr7mSlV+CNF3/B6lf3YfP6RKxbdQgvL/oBiQnZatufOVGILRv/UPaYdH7Bt7cL+H7HWez9Mb1XcRiTra0Ir62eDtfr9WI63zueVxS6e3LpOAwaptvMQUKI+aAeFNJjI8YoZqecSynpti0v4vDAglFGiEo/Hnx8NAKl7vh1VzqKC2oBAB6eDrhW3aR1PxsbHv46lH23t7fFwiXj8Nk/kpR1OjrxPAcXNzvMf6R35ys7swofvXMIgqCaKMlqW/DFpmS0t8kx7a4I5eOMMXz3ZaraWi2ddn97HtNmRehtoUJD8evngnX/nItTSQU4e6YYbW1ySIM9MGXGQL3V/yGEGBclKKRXcq9c7baNWKL4y9aYU4xvF8dxmBAXgglxIWhsaANjDA6Otnh96c+oqmhQewuB5znETgmBo1P3izUCwIS4EDg6i/HjV+dQkKuYgSIS8YiZKMX9j42GRy9v73y99QwELRVsv/0yFRPjQiCxUyQbhXk1qCir1/qcbW1ynD1VjPGTdVu/x5TEEhtMnBqKiVNDTR0KIUQPKEEhvdLdOAoACJS6I0xPK/Caws0Jx/MrJmHNWwfQ0tyhkqRwHODp44gHF47u0XOPHNMfI8f0x9XKBjQ3tcPDy1HnBEedirJ6ZGdpTxpbWzqQcrIIsZMVS1E01Ld2+7wcp1s7QgjRNxqDQnolJNxL66wInucwsA8nJ7cKCvbAXzfOwdS7wlXW4mEMqCpvwAcr9yNPzQKE3fHycULgAPfbSk4AoPaa9ltQgOI9qb1pCQBdbn0wpkjACCHE2ChBIb0yY/agbla6ZYi707JWuvXycQLHcWhv79p7VF4iw4dv7EdxQY0JIoNygKg2gsDg6najnV+AC8IivbUmms4uEgwf3Q9trR0oLqhBeYlM6/tOCCH6QgkK6ZXhUQGYNe/GSrydOv974XPj4BdgWesnVVXU4+CeTLXbBIGho0PAT9+cN3JUCn4BLgge6Kl19pFYIsLocaqrgy9YPBYiG75LksJxip+HF43B99vT8MLC7/HmS3vw2tLd+MszPyFhXxYtWUEIMSgag0J6heM4PPD4aAwc7IMDv2QgO+uqoiDWqADcOXcQBkYad4FAY0hOzNdaBVYQGFJPFqG5ud2gs17kcgGpJ4uQmJCN6qomuHvYY+LUUDzw6CisX50AQP1A2fsfHdUlrgGhnnh77Z3Y8flpZF2qVD7eL9AN9z4yAr/+dAk5l6+C3fSaq6sa8d9PT6GyrB4PPTnGUC+TEGLlKEEhvcZxHEZHB2J0dGD3jS2ArLa52/oogsDQIGs1WILS2tqBje8fRsaFCmWyVFpUi4tnyxAy0BMvvDYZX/3nDKoqGpT7ODqJMf+RkSpTjG8mDfHAGx/ORFVFPaqrmuDkIkG/QFcc2puFnKwqjbOCfvs5A7FTQtQulkgIIbeLEhRi9spK6pCTdRUcz2HQUF+TFX1z93RAd8MvRCIOzi4Sg8Xw1RdnkHlR0dPR2ZPTmUDk51xDcmIe1m+Zh8uXKnG1shFOzhIMHuEHW1vNxeE6efs6w9vXWfl7wr4sre15nsOxg1fw2DMxvXw1hBCiGSUoxGzVXGvCv/+RhPRz5crHOE5RjXXhc+OMXjxs/OQQ7PxfmsbtPM8heuIA2BkorgZZK/44nKNx7IcgMJw+XoBrV6MQMcQXEbdZ3b2yokHrcgaCwFBWIru9gxBCiAaUoBCz1NjQhg9W7kd1VaPK44wpVgSurmrEyg9maF1jRt88PB1w933D8PPOC1228TwHO3sb3PPn4QY7fvblqm4XJGQMyLpUoax10h3GGDIvViAxIRtXKxvh6maHCVNCMCKqH+ztbbXWQOF47ranRxNCiCaUoBCzdPTAFVytVP8XvCAwXMmsQtqpYowZH2TUuO59eAQcncT4eecFNDbcWPE3LMILC58bB19/w81cYjpO72Xd19ADAHR0CNjy8e84fbxQOZ6F5zmcPl6I8ME+GDtBimMHrmgcFMwEhpiJA3SMnhBCeoYSFGKWEg9la729wPMcfj+cY/QEheM43Dl3MKbNisDlS5VoaW5HQKAr/Pt1vw7PzTp7LooLamErEWFkVD+4eWgvcR880EvrLKJOulbv/WHHWZxJLgRwYzxL57+zM6tg72ADsUSEtlZ5l2PyPId+ga4Y1c0A6caGNhw/loui/BqIxSKMig7E4OF+Zr9CMiHE9ChBsUKdZeqNeXukp2R1zVq3CwLTqXqqodjaijBkhH+v9s3LrsaWj39HeWm9csFAnudwx7RQLHg6WuOAVjd3e0RPlOLUHwUa1wQaOtIfvv7OavZW1dLcjkO/ZmpMAgWB4XxKKV5+Iw5ffnoS1642QSTiwJhiW1ikN15YMQk2NpqvodPHC/Dp35PQ0S5X1lk5uDcL0hAPLH9nqkrROEIIuRUlKFaCMYZTSQXYt/sS8q4oSrIPjPTGXfMGI2qccXshdOHu4YCmxjqN23meg5ePkxEj0o+ighp88MZ+dLTLAdyYgSMIDImHstHU2IbnV0zWuP9jT8egtKgOhXk1KqsQcxzg4+eMp16M1SmOnMtX0dYq19qGMUAma8HfPr0H51NLkZtdDZGIw/DR/RAc5ql13+zMKvxzw+/KREouv5EJFeXXYMPqBKz+22ytVWwJIdaNEhQrwBjDN9tS8dvuSyp1PLKzqvDJ2mOY9+Bw3PPQCNMFqMaUGQPx1X/OaP0L/45pfWfVWrlcwJ7vL+LnnRc0DnRlDDh9vBB52dUaEwBHJzHeXnsnko7m4sj+K6ipboKrmx0mTQ/DHdPCdJ7ZpGu5ekHOwIt4jBzbHyPH9tdpHwD45YeLWo9dmFeDC2mlGBHVT+fnJIRYF0pQrMCl8+X4bfclAFD5wu/8713fnsfwqACEhpvP4n6T4sNw7GA2SovrunyZchwwdGQAho/uG19ugsDwr7/9jjPJhVrH1QAAL+KQnJintYdCLLFB3MxwxM3s/VpHQcHuOo1nCRmovadEnY4OAefOlGgthc+LOKScKKQEhRCikfkOQiB6c+jXLO0rD4s4HPr1shEj6p6dvS1WfjADY8YHqcRuY8NjQlwIHl4U1WcWrTufUoLTx7tPTgAADKiXaZ7aqy+ubvaIniDVeF3wPIewSG8EBfe8Sqy8Q97tOj2MAW1t2m8xEUKsG/WgWIH87GqtX+aCnCEvu9qIEenGyVmCpa9OQu21JuRmVyPjfDnSThfjj8O5+ONwLpxcJIifFYE584fqVCnVVI7sv6xTb0UnL2/jVMpd8HQ0CvNrUFZcp5I8cTwHFzc7LHllYq+eVyyxgbunA2qqtQxiZgz9Ans284kQYl2oB8UK2Iq7//IW69DGVNw8HJCdWYUDezJV1phpkLVi97fnsfH9w90WMDOlshKZ7mM+BIaJU40ztsbJWYJ31t2FBx4fDV9/Z4jFInh4OWDu/cPw141z4O3bu0HIHMchflaE1nWLOI7DpPiwXkZOCLEG1INiBaLGBeG33Zc0fklyHBA1znwX/CvIvYa9P6ar3cYYkH6uHH8czsGUGQONHJluelJtdfb8ITpNE9YXe3tbzJo3BLPm3WZd/FvMuHsQzp0pxpVM1cUGO3uSFj4bQ9OMLZy8tQ1Cuxw2jnZU94b0CiUoVmDaXeE49Gsm2tvkXcZBcDwHOzsbs/1yBxRVZXkRB0GuOcFK2Jd126+huqoRRw5cxsXUMsgFAZFDfDH1rvAeF2G7VezkEORlV2sdgyKxs8F9j4zE9DmRt3UscyEWi/Dq6unY91M6Du3Lgqy2BQAQPsgbc+4bhmGjAkwcITGUkv2ncf6jr1F+9BwAwDnEH4NfvBeRz80Fb2O+PbXE/HCsu9FsJiSTyeDq6oq6ujq4uBiuhLg1yEyvwN8/OILmpnZF1zvHgQkMjs5iLH97GkLDvUwdokZr3tyPzPRKrW3EYhH+/d3DvT7GhbRS/OPDI5DLmbKniec5MMaw6PnY25rS3Nzcjjdf/AU11U1dZyTxHJycxPjgk7sttkdBEBgaG1phYysy+gKPxLgy/rkbJ57/BJyIB7teEBKc4h+Bc8Zh6g+rKUmxEvr4/qYeFCsROcQXGz+/F8eP5iEroxIcgEHD/DB+0gBI7Mz7S8PeQaysuKqJxL73l/K16ib848Mj6OgQVI7RmUx88X/HETjADQNCez7lFlDcRnnjgxn4ZO0xFOReU86cEQSGfv1d8eLKKRabnACKRM/Zxc7UYRADq88vx4kXNwHAjeQEuF5MkKHol2Rc2fobIhbPNkl8pO+hBMWK2DuIMW1WBKbNijB1KD0ydoIUaaeLNW7neQ7j7wju9fMfPXAFHXKmMQHiOA4H9mTi6Zcm9PoYXj5OWP23WbiSWYXMixVgjCFiiC8iBvvQ/XliES7/ey84jgODxv+RkPF/P1GCQnRGCQoxe9ETpNj97XlUVTSovUViKxbd1tiNi2mlWlcKFgSGC2mlvX7+ThzHIXyQD8IH+dz2cxFibq6dz1XtObkVY6hNLwBjjJJyohOaZkzMnq2tCK//dTr6S90AACIRB5FI8QHn4iLBitXx8PHr/cwXXYZhaUtgCCGAjYME4LV/pfASW0pOiM6M0oPS2tqKmJgYnDt3DmlpaRg5cqQxDkssiIeXI977eDay0itxPq0EgpwhNNwLo6IDta6oq4uIIb7Iz7mmcRo2L+IQOdT3to6hTw2yVlzJrARjQPBAT7h7OJg6JKMQ5ALOppTg3JkSdLTLIQ3xwIS4EDg6SUwdGgEQ9KdY5O88pnE7ZyOC9N7eFf8j1skoCcqKFSsQEBCAc+fOGeNwxEJxnCJR0HeyEDczHPt/ztC4XZAzzJgzSK/H7I3W1g7s+Pw0/jicC/n1rnSOA8bGSvH4khg4OVvuF3V1VSPWrz6EsmIZeBEHMCDpaC6++28aliybiDHjzW9Fbmsz4L5JSH1nKxqLqsA6blnG4HqnydBl9xs/MNJnGfwWz759+3DgwAFs2LDB0IcipFd8/Z3x9EsTwHFQWZum878fXDga4YNNO25EkAvY+P5hJCbkKJMTQDGz6UxyIda8eQCtLe0mjNBwOjoErFt1EBWl9QAUCaMgKAY1d3TIsXl9InKvXDVxlEQkEePOg+vhJFX8AcHZiMCJeIDjILITI27nKniOMt96S8T8GLQHpaKiAosXL8auXbvg4NB9N3RraytaW28slCaTyQwZHiFK4ycHo5/UDQf3ZOJCagk6OgS4ezjAyUWCwrwaJB3JxdgJUpMtCZB6uhgZFyrUbhMEhuLCWvx+OBfxfWyGli7SThWh/HpycivGFL1Iv/6UjudXTDZyZORWziEBuDdjG4p+SUbR3hMQ2jvgOXogwh6fCYlb75ZOINbLYAkKYwwLFy7EkiVLMGbMGOTn53e7z5o1a7B69WpDhUSIVkED3LHo+fFIO1WEzRt+R1FBDQDFraXkY3n47n+pWLE6Hv0C3YweW+LBbO0LDnLAsYNXLDJBSTlZpPW1CwJD6skimh1iJngbEaT3TIT0HhpvQm5PjxOU119/HR999JHWNhkZGThw4ADq6+uxcuVKnZ975cqVWLZsmfJ3mUyGwEDzXSOG9H2XMyqx/+cMXLg+1bi/1E0xYJYxdJZz6JzlI6ttwUfvHMS6f86DnZErol672qh9wUGmKDhnidpb5Yr3Qwu5nIEJDJyIEhRCLEWPE5Tly5dj4cKFWtuEhITg8OHDSE5OhkSiOnBvzJgxeOSRR/Dll1922U8ikXRpT4ihHNl/Gdv+dVLlr/PcK9Ua2wsCQ11NC5IT8xA3M9xYYQIA3D0dUFxUp3W6s5u7ZVaj7S91Q+qpIq1Jil+AM3gRVU0gxJL0OEHx9vaGt7d3t+0++eQTvP/++8rfS0tLMXPmTHz77beIiYnp6WEJ0auykjp8ueUkAGjvmbgFxwGpp4qMnqBMnBqK86mai8VxHDA5PsyIERnP5Olh+HnnBc0NOCB+tmUsskgIucFgY1CCglSn/Tk5KQZIhYaGon///oY6LCE6OfzbZUVZ7h6ulcmY4paDsUWNC0JYhBdyr1R3Sah4noOPnzPusNAExcPLEY89E92ltwtQJGZDRwYYPWEkhBgelbonVik762qPek468TwHaS8XDbwdNjY8/rJqGrZtOYmTv+errBs0bFQAnnphvEWvFBw3MxxePk7Y++NF5WwmTy9HTJ8TielzIm+7WB8hxPwYLUEZMGBAj/9aJcRQRL0cTCkIDHEzTVPLwd5BjGeX3YEHH49CVrpiwcHQcG/4+ve+zH9fMmxUAIaNCkBbmxzyDjns7KlsOiGWjHpQiFUaOaY/sjOrNK5gfKvOWwuPLh4LvwAXwwbXDQ9PB4yf1PvVm/s6sVgEmKgeDSHEeKhflFilSfFhkNjZQNMf4BwHZc8ExwGDhvni1XenYToNxiSEEKOgHhRilVxc7bD8nWn4+L3DaGlpV/akcDwHnufw7LKJGBsrRUeHAJ4DTWElhBAj45gZDwyRyWRwdXVFXV0dXFxM261uSTIulOPg3kzkXr4KkY0Io6P7I352BHz9re8cN9S34o/DObh4tgyCIGDgIB9Mnj4QHp7mtUKwXC7g0vly1F5rhqu7HQYP96eBoYQQs6WP729KUKzMDzvO4uedF1Sma/I8B17E4eU34jBsVICJIyS3OpVUgO3/PoW62hblY84uEjy8aAxiJ4eYMDJCCFFPH9/f9CeYFUk9VaQseHXzFFtBYJB3CPhkzVHUy1o07U5M4PTxAmxen6iSnABAvawVn25MQvKxPBNFRgghhkUJihXZv/sSeF79qFDGgPZ2ORIP5Rg5KqKJIBfw1X/OaG3z1dYzkMsFI0VECCHGQwmKFbmSqb04GWPA5UsVRoyIaHM5swrXrmpfAFBW24KMC+VGiogQQoyHEhQroktNKyp8ZT5ktbrdbqurodtyhBDLQwmKFYkc5qvxFg8AgAMGD/czXkBEK3dP3VYn1rUdIYT0JZSgWJG75g7WeIuH4wB7O1tMiAs1clREk9Bwb3j7Omnt+XL3dEDkEF/jBUUIIUZCCYoVGToyAA8uHA0AKj0pHMdBLLHBsrenwtFJbKrwyC14nsOCxdEANN+eW7B4LBWRI4RYJKqDYoUKcq/h0K9ZyMmqgo2tCKOi+yNuxkC4eZhXcTJ9aW3twLkzJaiva4GHlwOGje7Xp4qcnUspwfbPT6OyrF75mLePEx5eNAajYwJNGBkhhKhHhdoI0YIxhoN7MvH9jrNobelQPu7sIsFjz8QgeoLUhNH1DGMMOZevKivJhoZ7ax9PRAghJqSP729ai4dYrIN7MrHji651ROplrdi8PhE2NlP6TA8Ex3EIi/A2dRiEEGI0faefm5AeaG1px/c7zmpuwAHfbEuBGXcgEkKIVaMeFGJUzU1tSNh3GUcPXEFNdROcnCW4Y1oops+JhKub/qbLnkspVbmt0wUDKsrqkZ9zDcFhnno7LiGEEP2gBIUYTb2sBR+s3I/yUhk6Oy5qa5qx98d0JB7Kxptr7oSvv7N+jlWnW/EyWnuIEELME93iIUbzv89OoaKsHrfeVREEhnpZK7Z8/LvejuXhpduMJE9vR70dkxBCiP5QgkKMoq62GaePF2osFCcIDLlXqlGQe00vxxs2uh+cXSQat3Mch+AwT/QLdNPL8QghhOgXJSgEjDGtiwjqQ2FejU7HyMuu1svxbGx4PPZMjOKXW2bjchwHkYjDI0+N0cuxCCGE6B+NQbFiednV2PdTOlJOFqGjQ4BfgDPiZ0Ui7s5wvRcyE4l0q9kh0mNV1OgJUtjYTME321JQcVORM2mIOx5dPBYDI330dixCiP4JcjkgMPC29FVljehdt1Kpp4qwae0xAFD2bFSU1WP7F6dx9kwxXnkzDja2Ir0dLzTcCxI7G60zazgOGDJCv4sVjo4JxKjo/sjPuYZ6WQs8vBzRP8hNr8cghOhX6aEUXFj3LUoPpwICg9uQARjy0r0Y+ORd4Hjq+LcW9E5boabGNvxrw+8QBNVbO4wBYED6uTIc2JOp12NK7GwxfXakxjVleJ5DzMQB8PDS/6DVzvEmw0f3o+SEEDOX8c/d2D9jBcqOpAHXP59qLxUg6emPkfjYWjBBMHGExFgoQbFCSUdz0d4u17idMeDAnky9FzG79+ERyvLynWXaO/8dPtgHTzw3Tq/HI4T0LbKcUpx4cRMAgMlvSkSufxblfpWA3K8STBEaMQG6xWOFCnOvgeM5MLnmBKSmuglNjW1wdNI8E6anRCIezy6/A/GzIpGYkI2rlQ1wdbNH7JQQDBsVQGvLEGLlsj7bA47jwKD+s4njeVz6v10IfXS6kSMjpkAJihWysRXdOrFFfTsDrPjLcRzCB/sgfDANUCWEqKpOu6Lac3ILJgioOZ9jxIiIKdEtHis0Ykw/yLX0nvA8h4jBPpDY2RoxKkKItbOxE0PjQLXreDF9LlkLSlCs0PBRAQgIdNV4S0UQGGbPH2rkqAgh1i7w7lh0KTV9E85GhKB5E40YETElSlCsEC/i8Zd3psHHT7Huzc0DVjkOeOzpaIyI6mfKEAkhVijk4amw9/cEp64e0vW/p4a+cp9xgyImwzEzXm9eJpPB1dUVdXV1cHFxMXU4FqejQ0DaqSKknCxCW2sH+ge5YfL0gbQ+DSHEZGozC7F/xgo0FVcpEhUGMDCIxLaY/PVbkM6dYOoQiQ708f1t0ARl7969eO+993D+/HnY2dlh8uTJ2LVrl877U4JCCCHWR97ahvzvE1Gy/zSE9g54jYlA2MKZsPN0NXVoREf6+P422CyeH374AYsXL8aHH36IqVOnoqOjAxcvXjTU4QghhFgIkUSM0EfiEfpIvKlDISZkkASlo6MDL730EtavX49FixYpHx88eLAhDkcIIYQQC2OQQbKpqakoKSkBz/MYNWoU/P39cdddd3Xbg9La2gqZTKbyQwghhBDrY5AEJTc3FwDw7rvv4q233sKePXvg7u6OKVOm4Nq1axr3W7NmDVxdXZU/gYGBhgiPEEIIIWauRwnK66+/Do7jtP5kZmZCuL6Y05tvvon58+cjKioKW7duBcdx2Llzp8bnX7lyJerq6pQ/RUVFt/fqCCGEENIn9WgMyvLly7Fw4UKtbUJCQlBWVgZAdcyJRCJBSEgICgsLNe4rkUggkehv7RdCCCGE9E09SlC8vb3h7e3dbbuoqChIJBJkZWVh4kRF1b/29nbk5+dDKpX2LlJCCCGEWA2DzOJxcXHBkiVLsGrVKgQGBkIqlWL9+vUAgPvvv98QhySE3KbK8npkZ1WB4zhEDPGFh6eDqUMihFgxg9VBWb9+PWxsbLBgwQI0NzcjJiYGhw8fhru7u6EOSQjpBVltMz7flIxzKSXKxzgOiJ4wAE88FwN7B7EJoyOEWCsqdU+IFWtpbse7f/kVFWX1EATVjwKe5zAgzANvfngnbGxo2S5CiO708f1NnzqEWLHEhGyUl8q6JCeAYlXr3MvVSDmheWA7IYQYCiUohFixxEM52la3B8dzSEzINl5AhBByHSUohFixuppmrduZwFBbrb0NIYQYAiUohFgxd097gNO8nec5eHjTbB5CiPFRgkKIFZscPxDQcotHEJiiDSGEGBklKIRYsYnTQhE4wB0837UbheM5RA71xajo/iaIjBBi7ShBIcSKSSQ2WPn+dIyNDVJJUkQiHpOmhWLZ21MhEtHHBCHE+AxWqI0Q0jc4Oknw3F8mofZaE3KvVIPjgIGRPnByoXWxCCGmQwkKIQQA4ObhgNExNCCWEGIeqO+WEEIIIWaHEhRCCCGEmB1KUAghhBBidihBIYQQQojZoQSFEEIIIWaHEhRCCCGEmB1KUAghhBBidihBIYQQQojZoQSFEEIIIWbHrCvJMqZYZlUmk5k4EkIIIYToqvN7u/N7vDfMOkGpr68HAAQGBpo4EkIIIYT0VH19PVxdXXu1L8duJ70xMEEQUFpaCmdnZ3Bc1+XguyOTyRAYGIiioiK4uLgYIMK+g87FDXQuVNH5uIHOhSo6HzfQubhBl3PBGEN9fT0CAgLA870bTWLWPSg8z6N///63/TwuLi5Wf0F1onNxA50LVXQ+bqBzoYrOxw10Lm7o7lz0tuekEw2SJYQQQojZoQSFEEIIIWbHohMUiUSCVatWQSKRmDoUk6NzcQOdC1V0Pm6gc6GKzscNdC5uMNa5MOtBsoQQQgixThbdg0IIIYSQvokSFEIIIYSYHUpQCCGEEGJ2KEEhhBBCiNmxmATl6NGj4DhO7c/p06c17jdlypQu7ZcsWWLEyA1nwIABXV7b2rVrte7T0tKCpUuXwtPTE05OTpg/fz4qKiqMFLFh5OfnY9GiRQgODoa9vT1CQ0OxatUqtLW1ad3Pkq6NzZs3Y8CAAbCzs0NMTAxOnTqltf3OnTsRGRkJOzs7DBs2DL/++quRIjWcNWvWYOzYsXB2doaPjw/mzZuHrKwsrfts27atyzVgZ2dnpIgN69133+3y2iIjI7XuY4nXBaD+s5LjOCxdulRte0u7LhITE3H33XcjICAAHMdh165dKtsZY3jnnXfg7+8Pe3t7xMfH48qVK90+b08/d25lMQlKbGwsysrKVH6eeuopBAcHY8yYMVr3Xbx4scp+69atM1LUhvfee++pvLYXXnhBa/tXXnkFv/zyC3bu3Iljx46htLQU9957r5GiNYzMzEwIgoBPP/0U6enp2LhxI7Zs2YI33nij230t4dr49ttvsWzZMqxatQqpqakYMWIEZs6cicrKSrXtjx8/joceegiLFi1CWloa5s2bh3nz5uHixYtGjly/jh07hqVLl+LEiRM4ePAg2tvbMWPGDDQ2Nmrdz8XFReUaKCgoMFLEhjdkyBCV1/bHH39obGup1wUAnD59WuU8HDx4EABw//33a9zHkq6LxsZGjBgxAps3b1a7fd26dfjkk0+wZcsWnDx5Eo6Ojpg5cyZaWlo0PmdPP3fUYhaqra2NeXt7s/fee09ru8mTJ7OXXnrJOEEZmVQqZRs3btS5fW1tLbO1tWU7d+5UPpaRkcEAsOTkZANEaDrr1q1jwcHBWttYyrURHR3Nli5dqvxdLpezgIAAtmbNGrXtH3jgATZ79myVx2JiYtgzzzxj0DiNrbKykgFgx44d09hm69atzNXV1XhBGdGqVavYiBEjdG5vLdcFY4y99NJLLDQ0lAmCoHa7JV8XANhPP/2k/F0QBObn58fWr1+vfKy2tpZJJBL29ddfa3yenn7uqGMxPSi3+vnnn1FdXY0nnnii27Y7duyAl5cXhg4dipUrV6KpqckIERrH2rVr4enpiVGjRmH9+vXo6OjQ2DYlJQXt7e2Ij49XPhYZGYmgoCAkJycbI1yjqaurg4eHR7ft+vq10dbWhpSUFJX3lOd5xMfHa3xPk5OTVdoDwMyZMy3yGgDQ7XXQ0NAAqVSKwMBAzJ07F+np6cYIzyiuXLmCgIAAhISE4JFHHkFhYaHGttZyXbS1tWH79u148skntS5Sa8nXxc3y8vJQXl6u8t67uroiJiZG43vfm88ddcx6scDb8cUXX2DmzJndLjb48MMPQyqVIiAgAOfPn8drr72GrKws/Pjjj0aK1HBefPFFjB49Gh4eHjh+/DhWrlyJsrIyfPzxx2rbl5eXQywWw83NTeVxX19flJeXGyFi48jOzsamTZuwYcMGre0s4dq4evUq5HI5fH19VR739fVFZmam2n3Ky8vVtreka0AQBLz88suYMGEChg4dqrFdREQE/vOf/2D48OGoq6vDhg0bEBsbi/T0dL0sZGpKMTEx2LZtGyIiIlBWVobVq1fjjjvuwMWLF+Hs7NylvTVcFwCwa9cu1NbWYuHChRrbWPJ1cavO97cn731vPnfU6lnnj/G99tprDIDWn4yMDJV9ioqKGM/z7Pvvv+/x8RISEhgAlp2dra+XoFe9OR+dvvjiC2ZjY8NaWlrUbt+xYwcTi8VdHh87dixbsWKFXl+HPvTmXBQXF7PQ0FC2aNGiHh/P3K8NdUpKShgAdvz4cZXHX331VRYdHa12H1tbW/bVV1+pPLZ582bm4+NjsDiNbcmSJUwqlbKioqIe7dfW1sZCQ0PZW2+9ZaDITKempoa5uLiwzz//XO12a7guGGNsxowZbM6cOT3ax5KuC9xyiycpKYkBYKWlpSrt7r//fvbAAw+ofY7efO6oY/Y9KMuXL9eayQJASEiIyu9bt26Fp6cn/vSnP/X4eDExMQAUf2WHhob2eH9D68356BQTE4OOjg7k5+cjIiKiy3Y/Pz+0tbWhtrZWpReloqICfn5+txO2QfT0XJSWliIuLg6xsbH47LPPenw8c7821PHy8oJIJOoyE0vbe+rn59ej9n3N888/jz179iAxMbHHf+3a2tpi1KhRyM7ONlB0puPm5obw8HCNr83SrwsAKCgowKFDh3rcS2rJ10Xn+1tRUQF/f3/l4xUVFRg5cqTafXrzuaOO2Sco3t7e8Pb21rk9Ywxbt27FY489Bltb2x4f7+zZswCg8kaYk56ej5udPXsWPM/Dx8dH7faoqCjY2toiISEB8+fPBwBkZWWhsLAQ48eP73XMhtKTc1FSUoK4uDhERUVh69at4PmeD78y92tDHbFYjKioKCQkJGDevHkAFLc3EhIS8Pzzz6vdZ/z48UhISMDLL7+sfOzgwYNmeQ30BGMML7zwAn766SccPXoUwcHBPX4OuVyOCxcuYNasWQaI0LQaGhqQk5ODBQsWqN1uqdfFzbZu3QofHx/Mnj27R/tZ8nURHBwMPz8/JCQkKBMSmUyGkydP4tlnn1W7T28+d9TSua+ljzh06JDG2xzFxcUsIiKCnTx5kjHGWHZ2NnvvvffYmTNnWF5eHtu9ezcLCQlhkyZNMnbYenf8+HG2ceNGdvbsWZaTk8O2b9/OvL292WOPPaZsc+v5YEzR9R0UFMQOHz7Mzpw5w8aPH8/Gjx9vipegN8XFxSwsLIxNmzaNFRcXs7KyMuXPzW0s9dr45ptvmEQiYdu2bWOXLl1iTz/9NHNzc2Pl5eWMMcYWLFjAXn/9dWX7pKQkZmNjwzZs2MAyMjLYqlWrmK2tLbtw4YKpXoJePPvss8zV1ZUdPXpU5RpoampStrn1XKxevZrt37+f5eTksJSUFPbnP/+Z2dnZsfT0dFO8BL1avnw5O3r0KMvLy2NJSUksPj6eeXl5scrKSsaY9VwXneRyOQsKCmKvvfZal22Wfl3U19eztLQ0lpaWxgCwjz/+mKWlpbGCggLGGGNr165lbm5ubPfu3ez8+fNs7ty5LDg4mDU3NyufY+rUqWzTpk3K37v73NGFxSUoDz30EIuNjVW7LS8vjwFgR44cYYwxVlhYyCZNmsQ8PDyYRCJhYWFh7NVXX2V1dXVGjNgwUlJSWExMDHN1dWV2dnZs0KBB7MMPP1QZf3Lr+WCMsebmZvbcc88xd3d35uDgwO655x6VL/K+aOvWrRrHqHSy9Gtj06ZNLCgoiInFYhYdHc1OnDih3DZ58mT2+OOPq7T/7rvvWHh4OBOLxWzIkCFs7969Ro5Y/zRdA1u3blW2ufVcvPzyy8rz5uvry2bNmsVSU1ONH7wBPPjgg8zf35+JxWLWr18/9uCDD6qMr7KW66LT/v37GQCWlZXVZZulXxdHjhxR+/9G52sWBIG9/fbbzNfXl0kkEjZt2rQu50kqlbJVq1apPKbtc0cXHGOM6d7fQgghhBBieBZbB4UQQgghfRclKIQQQggxO5SgEEIIIcTsUIJCCCGEELNDCQohhBBCzA4lKIQQQggxO5SgEEIIIcTsUIJCCCGEELNDCQohhBBCzA4lKIQQQggxO5SgEEIIIcTsUIJCCCGEELPz/6kPgronMRE/AAAAAElFTkSuQmCC", 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def points(n):\n", " tX1 = np.random.multivariate_normal([4, 3], 5*np.eye(2), n) # points de classe 0\n", " tX2 = np.random.multivariate_normal([-2, -1], 5*np.eye(2), n) # points de classe 1\n", " X = np.vstack((tX1, tX2))\n", " y = np.hstack((np.zeros(n), np.ones(n)))\n", " return X, y\n", "\n", "X, y = points(100)\n", "plt.scatter(X[:,0], X[:,1], c=y, cmap=plt.cm.Spectral);"]}, {"attachments": {}, "cell_type": "markdown", "metadata": {}, "source": ["## Algorithme des $k$ plus proches voisins"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": ["def d(x, y):\n", " s = 0\n", " for i in range(len(x)):\n", " s += (x[i] - y[i])**2\n", " return s**.5"]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": ["def voisins(x, X, k): \n", "\t# renvoie les k plus proches voisins de x dans X\n", "\tindices = sorted(range(len(X)), key=lambda i: d(x, X[i]))\n", "\treturn indices[:k]"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": ["def maj(L):\n", "\tcompte = {} # compte[e] = nombre d'occurrences de e dans L\n", "\tfor e in L:\n", "\t\tcompte[e] = compte.get(e, 0) + 1\n", "\treturn max(compte, key=compte.get)"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": ["def knn(x, X, Y, k):\n", "\tV = voisins(x, X, k)\n", "\treturn maj([Y[i] for i in V])"]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": ["def separer(X, Y, p):\n", "\tX_train, X_test, Y_train, Y_test = [], [], [], []\n", "\tfor i in range(len(X)):\n", "\t\tif i <= p * len(X):\n", "\t\t\tX_train.append(X[i])\n", "\t\t\tY_train.append(Y[i])\n", "\t\telse:\n", "\t\t\tX_test.append(X[i])\n", "\t\t\tY_test.append(Y[i])\n", "\treturn X_train, X_test, Y_train, Y_test\n", "\n", "X_train, X_test, Y_train, Y_test = separer(X, y, 0.8)\n", "\n", "def predict(x, k):\n", "\treturn knn(x, X_train, Y_train, k)"]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"text/plain": ["0.8974358974358975"]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}], "source": ["def precision(k):\n", "\tn = len(X_test)\n", "\tp = 0\n", "\tfor i in range(n):\n", "\t\tif predict(X_test[i], k) == Y_test[i]:\n", "\t\t\tp += 1\n", "\treturn p/n\n", "\n", "precision(5)"]}, {"attachments": {}, "cell_type": "markdown", "metadata": {}, "source": ["## En utilisant sklearn\n", "\n", "`sklearn` donne le m\u00eame r\u00e9sultat, mais est beaucoup plus rapide (tester avec $n = 10000$ points, par exemple) :"]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"text/plain": ["0.8974358974358975"]}, "execution_count": 8, "metadata": {}, "output_type": "execute_result"}], "source": ["from sklearn.neighbors import KNeighborsClassifier\n", "neigh = KNeighborsClassifier(n_neighbors=5)\n", "neigh.fit(X_train, Y_train)\n", "neigh.score(X_test, Y_test)"]}], "metadata": {"celltoolbar": "Tags", "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": "3.9.2 (default, Feb 28 2021, 17:03:44) \n[GCC 10.2.1 20210110]"}, "vscode": {"interpreter": {"hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"}}}, "nbformat": 4, "nbformat_minor": 4} \ No newline at end of file From 2b6a5941d801f6f7c50953cd258c697e4a3fc546 Mon Sep 17 00:00:00 2001 From: Quentin Fortier Date: Wed, 15 Nov 2023 19:45:31 +0000 Subject: [PATCH 2/2] Add knn_iris.ipynb --- .../cours/knn/exemple/knn_iris.ipynb | 1091 +++++++++++++++++ 1 file changed, 1091 insertions(+) create mode 100644 files/dl/apprentissage/cours/knn/exemple/knn_iris.ipynb diff --git a/files/dl/apprentissage/cours/knn/exemple/knn_iris.ipynb b/files/dl/apprentissage/cours/knn/exemple/knn_iris.ipynb new file mode 100644 index 00000000..782d1646 --- /dev/null +++ b/files/dl/apprentissage/cours/knn/exemple/knn_iris.ipynb @@ -0,0 +1,1091 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exemple : Classification d'iris\n", + "\n", + "Dans cet exemple, nous allons reconnaître des variétés d'iris (des fleurs) en utilisant l'algorithme des $k$ plus proches voisins. \n", + "Le code suivant charge les données :" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import load_iris\n", + "import numpy as np\n", + "iris = load_iris()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0 0 1 2 1 2 1 0 0 0 2 0 0 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 2 0 1 0 2 0 1\n", + " 0 0 0 2 1 2 1 1 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 2 1 1 2 0 1 1\n", + " 2]\n" + ] + }, + { + "data": { + "text/plain": [ + "array([2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1,\n", + " 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0,\n", + " 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1,\n", + " 1, 2, 0, 0, 2, 1, 0, 0, 1])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.model_selection import train_test_split # pour séparer les données en train et test\n", + "\n", + "X_train, X_test, Y_train, Y_test = train_test_split(iris.data, iris.target, test_size=0.5, shuffle=True, random_state=0)\n", + "\n", + "from sklearn.cluster import KMeans\n", + "kmeans = KMeans(n_clusters=3, random_state=0).fit(X_train)\n", + "Y_pred = kmeans.predict(X_test)\n", + "print(Y_pred)\n", + "Y_test" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Description des données\n", + "\n", + "`iris` est un dictionnaire tel que :\n", + "- `iris['data']` est une matrice `numpy` dont chaque ligne contient les données d'un iris : longueur, largeur de la sépale et de la pétale. \n", + "- `iris['target']` est un vecteur contenant les variétés d'iris : setosa (0), versicolor (1) ou virginica (2).\n", + "\n", + "L'objectif est donc, à partir des données d'un iris, de déterminer sa variété.\n", + "\n", + "Remarque : pour accéder à une clé `k` dans un dictionnaire `d`, on peut écrire `d.k` plutôt que `d['k']`. On utilisera donc `iris.data` et `iris.target` dans la suite." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(150, 4)" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.shape(iris.data) # il y a 150 iris, chacune contenant 4 caractéristiques" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([5.1, 3.5, 1.4, 0.2])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "iris.data[0] # les données de la première iris" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "iris.target[0] # l'étiquette de la première iris" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La première iris du jeu de données a donc une longueur de sépale de 5.1 cm, une largeur de sépale de 3.5 cm, une longueur de pétale de 1.4 cm et une largeur de pétale de 0.2 cm. Elle est de la variété setosa." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([5.1, 3.5, 1.4, 0.2])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "iris.data[0]" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les données sont donc des points de $\\mathbb{R}^4$. Pour les visualiser, on peut regarder leurs projections sur les deux premiers axes (longueur et largeur de la sépale), et sur les deux autres axes (longueur et largeur de la pétale) :" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "from matplotlib.colors import ListedColormap\n", + "from sklearn.cluster import KMeans\n", + "kmeans = KMeans(n_clusters=3, random_state=0).fit(iris.data)\n", + "cmap = ListedColormap([\"red\", \"green\", \"blue\"])\n", + "\n", + "fig, ax = plt.subplots(2, 2, figsize=(16,12))\n", + "\n", + "for j in range(2):\n", + " ax[j, 0].title.set_text('Espèces de fleurs')\n", + " ax[j, 1].title.set_text('Classes obtenues par K-means')\n", + " ax[j, 0].scatter(iris.data[:, 2*j], iris.data[:, 2*j + 1], c=iris.target, cmap=cmap)\n", + " ax[j, 1].scatter(iris.data[:, 2*j], iris.data[:, 2*j + 1], c=kmeans.labels_, cmap=cmap)\n", + " handles = [plt.Line2D([0, 0], [0, 0], color=cmap(norm(i)), marker='o', linestyle='', label=label) for i, label in enumerate(iris.target_names)]\n", + " ax[j, 0].legend(handles=handles, title='Variété')\n", + " ax[j, 0].set_xlabel(iris.feature_names[2*j])\n", + " ax[j, 0].set_ylabel(iris.feature_names[2*j + 1])\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split # pour séparer les données en train et test\n", + "\n", + "X_train, X_test, Y_train, Y_test = train_test_split(iris.data, iris.target, test_size=0.5, shuffle=True, random_state=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Classification" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Un algorithme de classification demande de séparer les données que l'on souhaite en deux ensembles : les **données d'entraînement** (`X_train` dans la suite) que l'on utilise pour améliorer le modèle et les **données de test** (`X_test`) pour juger des performances du modèle. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Séparation données d'entraînement / test\n", + "\n", + "Le code suivant permet de séparer l'ensemble des iris du jeu de données en deux :" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split # pour séparer les données en train et test\n", + "\n", + "X_train, X_test, Y_train, Y_test = train_test_split(iris.data, iris.target, test_size=0.5, shuffle=True, random_state=0)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`X_train` contient les caractéristiques de chaque fleur des données d'entraînement. `Y_train` contient le numéro de chacune de ces fleurs (0 = setosa, 1 = versicolor, 2 = virginica). De même pour `X_test` et `Y_test`.\n", + "\n", + "Remarque : on a converti les données en `numpy.array` pour pouvoir les manipuler plus facilement.\n", + "\n", + "Voici par exemple les caractéristiques (longueur, largeur de sépale et de pétale) de la première fleur des données d'entraînement :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([4.6, 3.1, 1.5, 0.2])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_train[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Et voici sa variété de fleur :" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Y_train[0]" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Algorithme des $k$ plus proches voisins\n", + "\n", + "Soient $x = (x_0, x_1, x_2, x_3)$ et $y = (y_0, y_1, y_2, y_3)$ deux caractéristiques de fleurs (longueur et largeur de la sépale et de la pétale). On définit la distance euclidienne $d$ entre ces fleurs par :\n", + "\n", + "$$\n", + " d(x, y) = \\sqrt{(x_0 - y_0)^2 + (x_1 - y_1)^2 + (x_2 - y_2)^2 + (x_3 - y_3)^2}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "def d2(x, y):\n", + " return ((x[0] - y[0])**2 + (x[1] - y[1])**2 + (x[2] - y[2])**2 + (x[3] - y[3])**2)**0.5" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Remarque** : on peut aussi utiliser le fait que la distance euclidienne entre deux vecteurs $X$ et $Y$ est $\\sqrt{(X - Y)^\\top (X - Y)}$, ce qui est plus rapide à calculer. De plus, on ne s'intéresse qu'aux plus proches voisins, et pas à leur distance exacte. On peut donc se passer du calcul de la racine carrée, d'où la fonction ci-dessous." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "def d2(x, y):\n", + " z = x - y\n", + " return z.T.dot(z)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "def voisins(x, X, k, d): # renvoie les k plus proches voisins de x dans X\n", + " indices = sorted(range(len(X)), key=lambda i: d(x, X[i]))\n", + " return indices[:k]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "def maj(L): # renvoie la classe qui apparaît le plus souvent dans L\n", + " compte = {}\n", + " for e in L:\n", + " compte[e] = compte.get(e, 0) + 1\n", + " return max(compte, key=compte.get)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "def knn(x, X, Y, k, d): # renvoie la classe prédite pour x par l'algorithme des k plus proches voisins\n", + " V = voisins(x, X, k, d)\n", + " return maj([Y[i] for i in V])" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "def predict(i, k, d): # renvoie la classe prédite pour X_test[i]\n", + " return knn(X_test[i], X_train, Y_train, k, d)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Classe prédite pour X_test[0] : 2\n", + "Classe réelle pour X_test[0] : 2\n" + ] + } + ], + "source": [ + "print(\"Classe prédite pour X_test[0] :\", predict(0, 3, d2))\n", + "print(\"Classe réelle pour X_test[0] :\", Y_test[0])" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`plot_prediction(i, k)` affiche `X_test[i]` et les `k` plus proches voisins de `X_test[i]` dans `X_train`, ainsi que la classe prédite :" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [], + "source": [ + "def plot_prediction(i, k):\n", + " x = X_test[i]\n", + " neighbors_i = voisins(x, X_train, k, d2)\n", + " neighbors = X_train[neighbors_i]\n", + " cmap = ListedColormap([\"red\", \"green\", \"blue\"])\n", + " norm = plt.Normalize(iris.target.min(), iris.target.max())\n", + " fig, ax = plt.subplots(1, 2, figsize=(16,7))\n", + " fig.suptitle(f\"Variété prédite par KNN avec k={k} : {iris.target_names[predict(i, k, d2)]}\")\n", + " for j in range(2):\n", + " ax[j].scatter(X_train[:, 2*j], X_train[:, 2*j + 1], c=Y_train, cmap=cmap, norm=norm)\n", + " handles = [plt.Line2D([0, 0], [0, 0], color=cmap(norm(i)), marker='o', linestyle='', label=label) for i, label in enumerate(iris.target_names)]\n", + " ax[j].legend(handles=handles, title='Variété')\n", + " ax[j].set_xlabel(iris.feature_names[2*j])\n", + " ax[j].set_ylabel(iris.feature_names[2*j + 1])\n", + " ax[j].scatter(x[2*j], x[2*j + 1], s=300, c=Y_test[i], cmap=cmap, norm=norm)\n", + " ax[j].scatter(neighbors[:, 2*j], neighbors[:, 2*j + 1], s=120, c=Y_train[neighbors_i], cmap=cmap, norm=norm, marker='X')\n", + " plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Sur le dessin suivant, `X_test[2]` (gros point) est correctement classée comme étant de la variété setosa :" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_prediction(2, 3)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Par contre, `X_test[37]` est classé à tord comme étant de la variété virginica alors qu'elle est de la variété versicolor :" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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kyCGLxeLucAAAAJLNMAxdu3ZNhQoVkocH30enN9yPAgCA9M7Z+1GSkwk4d+6cAgMD3R0GAADAAzt9+rSKFCni7jCQTNyPAgCAjCKp+1GSkwnIkSOHJPPN8/Pzc3M0AAAAyRceHq7AwMC4+xqkL9yPAgCA9M7Z+1GSkwmIHTrj5+fHzSAAAEjXGBKcPnE/CgAAMoqk7keZgAgAAAAAAACAW5CcBAAAAAAAAOAWJCcBAAAAAAAAuAVzTgIAkIkYhqHo6GjFxMS4OxQ8IKvVKk9PT+aUzMRozxkH7RkAkJmRnAQAIJOIiopSaGiobt686e5Q4CJZs2ZVQECAvLy83B0KUhntOeOhPQMAMiuSkwAAZAI2m00hISGyWq0qVKiQvLy86KGTjhmGoaioKF26dEkhISEqVaqUPDyYrSezoD1nLLRnAEBmR3ISAIBMICoqSjabTYGBgcqaNau7w4EL+Pr6KkuWLDp58qSioqLk4+Pj7pCQSmjPGQ/tGQCQmfGVHAAAmQi9cTIWrmfmxvXPWLieAIDMiv8BAQAAAAAAALgFyUkAAJApnDhxQh9//LGuX7+eKscBSFm0aQAAMgaSkwAAIMOwWCz66aef4m2PjIxU27ZtlTdvXmXPnt3p+u73OACuQZsGACDjIzkJAABSVfPmzdW4ceME923YsEEWi0V79uy5r7pDQ0PVpEmTeNvffvttNWrUSK+99prd9i5duqhVq1aJ1pfYcQDuoE0DAIAHwWrdAAAgVXXr1k3PPfeczpw5oyJFitjtmzZtmqpWraqKFSsmq86oqCh5eXmpYMGCCe7/9ttv7yvW+z0OyExo0wAA4EHQcxIAAKSqZs2aKV++fJo+fbrd9uvXr2vBggVq1aqVnn/+eRUuXFhZs2ZVhQoV9MMPP9iVrV+/vnr16qU+ffoob968Cg4OlhR/COjp06fVrl075cyZU7lz51bLli114sQJSdKQIUM0Y8YMLVmyRBaLRRaLRevWrUvyOAD2aNMAAOBBkJwEAACpytPTU507d9b06dNlGEbc9gULFigmJkYvvviiqlSpol9++UX79u1Tjx491KlTJ/3111929cyYMUNeXl7atGmTJkyYEO88t2/fVnBwsHLkyKENGzZo06ZNyp49uxo3bqyoqCj17dtX7dq1U+PGjRUaGqrQ0FDVrFkzyeMA2KNNAwCAB8GwbgAAkOq6du2qzz//XOvXr1f9+vUlmcM/n3vuORUtWlR9+/aNK/vmm29q5cqVmj9/vqpXrx63vVSpUvrss88SPce8efNks9k0ZcoUWSyWuHPkzJlT69atU6NGjeTr66vIyEi7oaOzZs1K8jgA9mjTAADgfpGcBFzh9Glp+nTp2DEpVy6pQwepenXp/2+AAQD2ypQpo5o1a2rq1KmqX7++jh49qg0bNmjYsGGKiYnRJ598ovnz5+vs2bOKiopSZGSksmbNaldHlSpVHJ5j9+7dOnr0qHLkyGG3PSIiQseOHXP5cUBmRpsGAKQFhiFt2yb98IN09apUvLjUpYv00EPujgyOkJwEHtSoUdKHH5qJyNhk5JgxUtOm0vz5UrZsbg0PANKqbt266c0339S4ceM0bdo0lShRQvXq1dOnn36qsWPHasyYMapQoYKyZcumPn36xBt+mS2Jz9fr16+rSpUqmj17drx9+fLlc/lxyLhGjhypxYsX69ChQ/L19VXNmjX16aefqnTp0okeM336dL388st227y9vRUREZHS4boNbRoA4E43b0rt20vLlkme/5/tMgxp6FBp+HBpwAD3xofEkZwEHsSMGVL//gnvW7lS6tpVmjcvdWMCgHSiXbt26t27t+bMmaPvv/9er7/+uiwWizZt2qSWLVvqxRdflCTZbDb9888/KleuXLLqf+yxxzRv3jzlz59ffn5+CZbx8vJSTExMso9D5rJ+/Xr17NlT1apVU3R0tAYMGKBGjRrpwIEDDhNqfn5+Onz4cNxzSwYfUUGbBgC4U7du0q+/mj9HR9vv+/BDKSBAuud7Q6QRLIgD3C+bzfwKJjExMWbPSYYLAUCCsmfPrvbt26t///4KDQ1Vly5dJJnzzq1atUqbN2/WwYMH9eqrr+rChQvJrr9jx47KmzevWrZsqQ0bNigkJETr1q3TW2+9pTNnzkiSihUrpj179ujw4cP6999/dfv2baeOQ+ayYsUKdenSReXLl9ejjz6q6dOn69SpU9qxY4fD4ywWiwoWLBj3KFCgQCpF7B60aQCAuxw7ZvYLstkSLzN8uOP9cB+Sk8D9OnRICglxXMbDQ1qyJHXiAYB0qFu3brp69aqCg4NVqFAhSdLAgQP12GOPKTg4WPXr11fBggXVqlWrZNedNWtW/fHHH3rooYfUunVrlS1bVt26dVNERERc76nu3burdOnSqlq1qvLly6dNmzY5dRwyt7CwMElS7ty5HZa7fv26ihYtqsDAQLVs2VL79+9PtGxkZKTCw8PtHukRbRoA4A5Llya95ENIiHTgQOrEg+SxGIZhuDuItCY8PFz+/v4KCwvjhgWJ275dqlbNcRlPT2nIELMPOQC4UUREhEJCQhQUFCQfHx93hwMXcXRduZ9JGTabTS1atNB///2njRs3Jlpuy5YtOnLkiCpWrKiwsDCNHj1af/zxh/bv368iRYrEKz9kyBANTWBERkLXj/acMXFdAeD+ffKJNHhw/OHc9/rrr6T/jIfrOHs/Ss9J4H6VLCl5eTkuEx0tPfJI6sQDAABSXM+ePbVv3z7NnTvXYbkaNWqoc+fOqlSpkurVq6fFixcrX758mjhxYoLl+/fvr7CwsLjH6dOnUyJ8AAAypAoVkk5MZsli/hmPtIfkJHC/cuaUXnjhzjJg9/LwkAoWlJ55JlXDAgAAKaNXr15atmyZ1q5dm2DvR0eyZMmiypUr6+jRownu9/b2lp+fn90DAAA4p0kTqVAh88/whFitUocOUq5cqRsXnENyEngQn30mFS1qftLdzdPT/Fpm7tzEk5cAACBdMAxDvXr10o8//qg1a9YoKCgo2XXExMRo7969CggISIEIAQDI3Dw9pR9+MAc33vsnuNVq/tk+erR7YkPSSE4CDyJfPmnrVumddyR/f3Ob1Sq1bm1ur1fPvfEBAIAH1rNnT82aNUtz5sxRjhw5dP78eZ0/f163bt2KK9O5c2f1798/7vmwYcP022+/6fjx49q5c6defPFFnTx5Uq+88oo7XgIAABle3brmn+HPPXcnQenvL739tjnXZP787o0PiaNLF/Cg8uQxe1COHCmFh0tZs0re3u6OCgAAuMj48eMlSfXr17fbPm3aNHXp0kWSdOrUKXncNZbs6tWr6t69u86fP69cuXKpSpUq2rx5s8qVK5daYQMAkOlUrGgOYIyKkq5fN5OT9w50RNpDchJwFauVCSwAAMiADMNIssy6devsnn/55Zf68ssvUygiAADgiJeXlDu3u6OAsxjWDQAAAAAAAMAtSE4CAAAAAAAAcAuSkwAAAAAAAADcguQkAABwXkyMtG6d9MMP5r8xMe6OKFEnTpyQxWLRrl273B0KkHalkzZNewYAIONiQRwAAOCcxYul3r2lM2fubCtSRBo7Vmrd2n1xAbg/tGkAAJAG0HMSAAAkbfFiqU0b+ySGJJ09a25fvDjFTr1w4UJVqFBBvr6+ypMnj5566induHFDkjRlyhSVLVtWPj4+KlOmjL799tu444KCgiRJlStXlsViUf369SVJNptNw4YNU5EiReTt7a1KlSppxYoVccdFRUWpV69eCggIkI+Pj4oWLaqRI0fG7f/f//6nChUqKFu2bAoMDNQbb7yh69evp9jrB1KEm9o07RkAANyL5CQAAHAsJsbsXWUY8ffFbuvTJ0WGg4aGhur5559X165ddfDgQa1bt06tW7eWYRiaPXu2Bg0apBEjRujgwYP65JNP9NFHH2nGjBmSpL/++kuS9Pvvvys0NFSL/z/ZMnbsWH3xxRcaPXq09uzZo+DgYLVo0UJHjhyRJH311Vf6+eefNX/+fB0+fFizZ89WsWLF4mLy8PDQV199pf3792vGjBlas2aN+vXr5/LXDqQYN7Vp2jMAAEiQgXjCwsIMSUZYWJi7QwEAwCVu3bplHDhwwLh161byD1671jDMlIXjx9q1rg7b2LFjhyHJOHHiRLx9JUqUMObMmWO3bfjw4UaNGjUMwzCMkJAQQ5Lx999/25UpVKiQMWLECLtt1apVM9544w3DMAzjzTffNBo0aGDYbDanYlywYIGRJ08eZ1+SSzm6rtzPpG+Ort8DtWfDcFubpj079sDXFQCANMbZ+1HmnAQAAI6Fhrq2XDI8+uijatiwoSpUqKDg4GA1atRIbdq0kZeXl44dO6Zu3bqpe/fuceWjo6Pl7++faH3h4eE6d+6catWqZbe9Vq1a2r17tySpS5cuevrpp1W6dGk1btxYzZo1U6NGjeLK/v777xo5cqQOHTqk8PBwRUdHKyIiQjdv3lTWrFld/A4AKcBNbZr2DADp0x9/SCEh0qOPSpUquTsaZEQM6wYAAI4FBLi2XDJYrVatWrVKy5cvV7ly5fT111+rdOnS2rdvnyRp8uTJ2rVrV9xj3759+vPPPx/onI899phCQkI0fPhw3bp1S+3atVObNm0kmSsGN2vWTBUrVtSiRYu0Y8cOjRs3TpI5tx2QLripTdOeASB9+eILKXt2qV49qUsXqXJlKV8+6ccf3R0ZMhqSkwAAwLE6dcwVfC2WhPdbLFJgoFkuBVgsFtWqVUtDhw7V33//LS8vL23atEmFChXS8ePHVbJkSbtH7MIZXl5ekqSYu+bN8/PzU6FChbRp0ya7c2zatEnlypWzK9e+fXtNnjxZ8+bN06JFi3TlyhXt2LFDNptNX3zxhZ544gk9/PDDOnfuXIq8biDFuLFN054BIH0YMkTq21f6/zXL4vz7r9S6tbRwoVvCQgbFsG4AAOCY1SqNHWuu4Gux2C+iEZvcGDPGLOdiW7du1erVq9WoUSPlz59fW7du1aVLl1S2bFkNHTpUb731lvz9/dW4cWNFRkZq+/btunr1qt555x3lz59fvr6+WrFihYoUKSIfHx/5+/vrvffe0+DBg1WiRAlVqlRJ06ZN065duzR79mxJ5uq9AQEBqly5sjw8PLRgwQIVLFhQOXPmVMmSJXX79m19/fXXat68uTZt2qQJEya4/HUDKcpNbZr2DADpQ0SENHy44zKvvGL+NwK4RCrNgZmuMIE8ACCjcclCC4sWGUaRIvYLZgQGmttTyIEDB4zg4GAjX758hre3t/Hwww8bX3/9ddz+2bNnG5UqVTK8vLyMXLlyGXXr1jUWL14ct3/y5MlGYGCg4eHhYdSrV88wDMOIiYkxhgwZYhQuXNjIkiWL8eijjxrLly+PO2bSpElGpUqVjGzZshl+fn5Gw4YNjZ07d8bt/9///mcEBAQYvr6+RnBwsPH9998bkoyrV6+m2PuQGBbEybhSdEGcWKncpmnPjrEgDoC0YsgQ59ZNW73a3ZEirXP2ftRiGHd/VQrJnFzb399fYWFh8vPzc3c4AAA8sIiICIWEhCgoKEg+Pj73X1FMjLRhg7lQRkCAOewzBXpMwjmOriv3M+mbo+vnsvYs0abTEJdeVwB4AG3aSIsWJV3u00+lfv1SPh6kX87ejzKsG0DaFhEhzZ0rTZsmnT1rzoHVrZvUrp30//NPAUhFVqtUv767owDgKrRpAMA98uVzrlyhQikbBzKPNLMgzqhRo2SxWNSnTx+H5RYsWKAyZcrIx8dHFSpU0K+//mq33zAMDRo0SAEBAfL19dVTTz2lI0eOpGDkAFLM1atSrVrSyy9LGzdKx45Jf/whdepkLhl37Zq7IwQAAACADOWDD5Iu4+kpdeiQ8rEgc0gTyclt27Zp4sSJqlixosNymzdv1vPPP69u3brp77//VqtWrdSqVSvt27cvrsxnn32mr776ShMmTNDWrVuVLVs2BQcHKyIiIqVfBgBX69FD2r3b/Nlms/932zbpzTfdExcAAAAAZFBFiybdqf6NN8wEJeAKbk9OXr9+XR07dtTkyZOVK1cuh2XHjh2rxo0b67333lPZsmU1fPhwPfbYY/rmm28kmb0mx4wZo4EDB6ply5aqWLGivv/+e507d04//fRTKrwaAC5z+rQ50UlMTML7Y2Kk2bOlixdTNy4AAAAAyOBWrTIHsSWkc2dp7NjUjQcZm9uTkz179tQzzzyjp556KsmyW7ZsiVcuODhYW7ZskSSFhITo/PnzdmX8/f31+OOPx5VJSGRkpMLDw+0eANxs40ZzEThHoqMlB20bAAAAAJB8np7mn2QHDkjPPy81aCB17y5duCDNmOHu6JDRuLUT7ty5c7Vz505t27bNqfLnz59XgQIF7LYVKFBA58+fj9sfuy2xMgkZOXKkhg4dmpzQAaS0pBKTyS0HAAAAAEiWsmWlOXPcHQUyOrf1nDx9+rR69+6t2bNny8fHx11hSJL69++vsLCwuMfp06fdGg8AmWMILBbHZTw9pSeeSJ14AAAAAACAy7ktObljxw5dvHhRjz32mDw9PeXp6an169frq6++kqenp2ISmGeuYMGCunDhgt22CxcuqGDBgnH7Y7clViYh3t7e8vPzs3sAcLOiRaVWrSSrNeH9Vqu5PJyDtg0AAAAAANI2tyUnGzZsqL1792rXrl1xj6pVq6pjx47atWuXrAkkJGrUqKHVq1fbbVu1apVq1KghSQoKClLBggXtyoSHh2vr1q1xZQCkI1OmSOXKmT/H9qL0+P+PrcqVpf9fDAsAAAAAAKRPbktO5siRQ4888ojdI1u2bMqTJ48eeeQRSVLnzp3Vv3//uGN69+6tFStW6IsvvtChQ4c0ZMgQbd++Xb169ZIkWSwW9enTRx9//LF+/vln7d27V507d1ahQoXUqlUrd7xMAA8id25p61Zp0iSpenUpMNAcxj11qrRhg+Tv7+4IAWRAJ06ckMVi0a5du9JkfQCcR3sGACDtc+uCOEk5deqUPDzu5E9r1qypOXPmaODAgRowYIBKlSqln376KS6ZKUn9+vXTjRs31KNHD/3333+qXbu2VqxY4fZ5LQHcJ19fc1m47t3dHQkASTG2GG04tUGh10IVkCNAdR6qI6tHItMvpFOBgYEKDQ1V3rx53R0KkOIyepumPQMAkPalqeTkunXrHD6XpLZt26pt27aJ1mGxWDRs2DANGzbMxdEBAJC5LT64WL1X9NaZ8DNx24r4FdHYxmPVumxrN0aWPLdv31aWLFkS3W+1Wh3OVe0OUVFR8vLycncYyGAyQpumPQMAkP65bVg3AABIPxYfXKw289vYJTEk6Wz4WbWZ30aLDy5OkfNOmjRJhQoVks1ms9vesmVLde3aVZK0ZMkSPfbYY/Lx8VHx4sU1dOhQRUdHx5W1WCwaP368WrRooWzZsmnEiBG6evWqOnbsqHz58snX11elSpXStGnTJCU8bHP//v1q1qyZ/Pz8lCNHDtWpU0fHjh2TJNlsNg0bNkxFihSRt7e3KlWqpBUrVjh8XevXr1f16tXl7e2tgIAAffDBB3Yx169fX7169VKfPn2UN29eBQcHP9D7CNzLHW2a9kx7BgAgISQnAQCAQzG2GPVe0VuGjHj7Yrf1WdFHMbYYl5+7bdu2unz5stauXRu37cqVK1qxYoU6duyoDRs2qHPnzurdu7cOHDigiRMnavr06RoxYoRdPUOGDNGzzz6rvXv3qmvXrvroo4904MABLV++XAcPHtT48eMTHfZ59uxZ1a1bV97e3lqzZo127Nihrl27xiUfxo4dqy+++EKjR4/Wnj17FBwcrBYtWujIkSOJ1te0aVNVq1ZNu3fv1vjx4/Xdd9/p448/tis3Y8YMeXl5adOmTZowYcKDvI2AHXe1adoz7RkAgISkqWHdAAAg7dlwakO83lV3M2TodPhpbTi1QfWL1XfpuXPlyqUmTZpozpw5atiwoSRp4cKFyps3r5588kk1atRIH3zwgV566SVJUvHixTV8+HD169dPgwcPjqvnhRde0Msvvxz3/NSpU6pcubKqVq0qSSpWrFiiMYwbN07+/v6aO3du3PDRhx9+OG7/6NGj9f7776tDhw6SpE8//VRr167VmDFjNG7cuHj1ffvttwoMDNQ333wji8WiMmXK6Ny5c3r//fc1aNCguPm2S5Uqpc8+++x+3jbAIXe1adoz7RkAgITQcxIAADgUei3UpeWSq2PHjlq0aJEiIyMlSbNnz1aHDh3k4eGh3bt3a9iwYcqePXvco3v37goNDdXNmzfj6ohNWsR6/fXXNXfuXFWqVEn9+vXT5s2bEz3/rl27VKdOnQTntQsPD9e5c+dUq1Ytu+21atXSwYMHE6zv4MGDqlGjhiwWi13569ev68yZOwmjKlWqOHhXgPvnzjZNewaAxN2+Lc2bJzVtKlWqJLVoIS1ZIsXE2JeZO1dq0sQs07Kl9PPP9mWioqQffpAaNzbLtGolLVsm3TOrhktERkqzZknBwea5nntOWr48+eeKiJC+/156+mmznjZtpJUrJSN+J388gGvXpG+/lerVkypXljp1kjZtcndU9JwEAABJCMgR4NJyydW8eXMZhqFffvlF1apV04YNG/Tll19Kkq5fv66hQ4eqdev4i3f4+PjE/ZwtWza7fU2aNNHJkyf166+/atWqVWrYsKF69uyp0aNHx6vH19fXxa/IOffGDLiKO9s07RkAEhYWZib4tm6VrFYz2bhvn7R0qfTUU2YCMirKTN5t2yZ5eJgJwH37zH3BwdJPP0m3bkmNGknbt9uXWbLETHouXix5e7sm5n//NWPbvfvOufbvN8/RqpU0f77kYM2yOBcvSk8+KR04YF/PokVS27bSnDmSJ9mrB3bsmFS/vnT2rPncMMzfjVmzpDfflMaOle76ri1V0XMSAAA4VOehOiriV0QWJXy3YpFFgX6BqvNQnRQ5v4+Pj1q3bq3Zs2frhx9+UOnSpfXYY49Jkh577DEdPnxYJUuWjPeIHU6ZmHz58umll17SrFmzNGbMGE2aNCnBchUrVtSGDRt0+/btePv8/PxUqFAhbbrnK+dNmzapXLlyCdZXtmxZbdmyRcZdXQE2bdqkHDlyqEiRIg5jBlzBnW2a9gwACevRw0woSnd6Qcb+u2aN1Lev1K2btHOnuS22Z2JsmVWrpPffl7p2lf7+O+EyK1ZIH3zguphffNFMbt19rtj1wJYskQYNcq6e55+X/vkn4XoWLpSGD3dNvJmZzSY984wUGmomJWP/24p9n7/+Wpo82X3xkZwEAAAOWT2sGtt4rCTFS2bEPh/TeIysHtYUi6Fjx4765ZdfNHXqVHXs2DFu+6BBg/T9999r6NCh2r9/vw4ePKi5c+dq4MCBDusbNGiQlixZoqNHj2r//v1atmyZypYtm2DZXr16KTw8XB06dND27dt15MgRzZw5U4cPH5Ykvffee/r00081b948HT58WB988IF27dql3r17J1jfG2+8odOnT+vNN9/UoUOHtGTJEg0ePFjvvPNOkgkYwBXc3aZpzwBg7/RpacEC+6HZd7PZpClTzJ6EjspMmGD2nnRUZuJEKTz8wWM+dMgcdp3YuQxDGjdOumtWjgTt3WsmX2OTZAnVM3asOewb92/VKunw4cSvl8Uiff65+4bR8z8mAABIUuuyrbWw3UIV9itst72IXxEtbLdQrcvGH4bpSg0aNFDu3Ll1+PBhvfDCC3Hbg4ODtWzZMv3222+qVq2annjiCX355ZcqWrSow/q8vLzUv39/VaxYUXXr1pXVatXcuXMTLJsnTx6tWbNG169fV7169VSlShVNnjw5bs66t956S++8847effddVahQQStWrNDPP/+sUqVKJVhf4cKF9euvv+qvv/7So48+qtdee03dunVLMgEDuJI72zTtGQDsrVuXdFIoKirpepwpc+uW9NdfToXl0Jo1SQ8BvnbtTk/PxKxebQ7ldiQszBw6jvv3+++Oh9gbhnT0qHTuXOrFdDeLYTC96L3Cw8Pl7++vsLAw+fn5uTscAAAeWEREhEJCQhQUFGQ3d1tyxdhitOHUBoVeC1VAjgDVeahOivaYhGOOriv3M+mbo+vnqvYs0abTEldeVwDpy/Tp0ssvp975Vqww56h8EF9/LfXunXRSdd06c/GVxPzvf9J77yW9gM6mTVLNmskOE//vnXekb74xF1Ry5ORJ6aGHXHdeZ+9HmVIUAAA4zephVf1i9d0dBgAXoU0DgPs5k3SLXSTHEU/PxIdH312mShXnY0tMzZpJJyZ9fMyVt5OqJ6nEZNasUsWKyQoP96hVS/r/9ecSVaiQVLiw4zIphWHdAAAAAAAAbvLww+Yq3NZEOq5brVL79lKDBomvWm21mgvL1K/vuEzHjlLevA8ec5UqUvXqjs/VpYvk7++4nscflypXdlzPK69I2bM/ULiZXosWZvIxsd8xi8XsCZvY/pRGchIAAAAAAMCNZsyQihWzn8fRYjEfjzxiDsmdOdMccnv3HI2xZSpWlL76yiwTGJhwmUqVzMVlXGXePCkgwP5csT9Xq2YusJIUi8VcDCh//oTrqVFDGjnSdTFnVlmySD//LOXIYZ+AjH2fn33WHPrtLiQnAQAAAAAA3CggwFw8ZvRoqVw5KU8e6dFHzaTk5s1Srlxmz7edO6XPPrMvM26cOSdjzpxSkSJmmU8/lcqWNctUqiR9+620YUPSPRmTo1gxadcuacQIqXRp81yVK0uTJplzTTrb27FECWnPHmn4cLMXaZ48Zs/MKVPMBXOyZnVdzJlZlSrSvn3S++9LQUFmD9rataW5c6X58xPvvZoaWBAnAUwgj3Tl1i3z6w5vb3dHAiANY6GFjIkFcTKu1FoQB2kH1xUAkNE4ez9Kz0kgPbLZpO++k8qXN79G8vExv/JYutTdkQEAAAAAADiN5CSQ3hiG1K2bOSvwwYN3tv/5pznL7aefui82AAAAAACAZCA5CaQ3ixZJ06ebP989K0NMjPnvBx9Ie/emelgAAAAAAADJRXISSG+++cZ+ea17eXpKEyakXjwAAAAAAAD3ieQkkN7s2nWnl2RCoqPN5dkAIBMYMmSIKlWq9MD1rFu3ThaLRf/995/Tx3Tp0kWtWrV64HMDMNGeAQDInNy4UDiA++LjI4WFJb7fYjEXyQGAFBATI23YIIWGSgEBUp06jjtzp7S+ffvqzTfffOB6atasqdDQUPn7+zt9zNixY2XcPb0GkA6lpTZNewYAIHOi5ySQ3jz3nDl025Fnn02dWABkKosXS8WKSU8+Kb3wgvlvsWLmdnfJnj278uTJk+j+qKgop+rx8vJSwYIFZbFYnD63v7+/cubM6XR5IK1Ja22a9gwAQOZEchJIb3r3NpOTCd1wW61SvnxSp06pHxeADG3xYqlNG+nMGfvtZ8+a21MqmTFp0iQVKlRINpvNbnvLli3VtWvXeMNAY4dmjhgxQoUKFVLp0qUlSZs3b1alSpXk4+OjqlWr6qeffpLFYtGuXbskxR8GOn36dOXMmVMrV65U2bJllT17djVu3FihoaHxzhXLZrPps88+U8mSJeXt7a2HHnpII0aMiNv//vvv6+GHH1bWrFlVvHhxffTRR7p9+7Zr3zDASe5o07RnAACQEJKTQHrz8MPS0qVStmxmgtJqvdOTskABac0aKRnDmAAgKTEx5vciCY14jN3Wp4/j6XDvV9u2bXX58mWtXbs2btuVK1e0YsUKdezYMcFjVq9ercOHD2vVqlVatmyZwsPD1bx5c1WoUEE7d+7U8OHD9f777yd57ps3b2r06NGaOXOm/vjjD506dUp9+/ZNtHz//v01atQoffTRRzpw4IDmzJmjAgUKxO3PkSOHpk+frgMHDmjs2LGaPHmyvvzyy2S8G4BruKtN054BAEBCmHMSSI+eesrs2jBrlrRli5mcfPppc8i3t7e7owOQwWzYEL931d0MQzp92ixXv75rz50rVy41adJEc+bMUcOGDSVJCxcuVN68efXkk09qw4YN8Y7Jli2bpkyZIi8vL0nShAkTZLFYNHnyZPn4+KhcuXI6e/asunfv7vDct2/f1oQJE1SiRAlJUq9evTRs2LAEy167dk1jx47VN998o5deekmSVKJECdWuXTuuzMCBA+N+LlasmPr27au5c+eqX79+yXhHgAfnrjZNewaAzCsiQlq1Srp82ZxCpG5dyYPucsly/br022/StWtmn6Unnkh4QGV6RHISSK/8/KQ33jAfAJCC7hr56JJyydWxY0d1795d3377rby9vTV79mx16NBBHonc0VaoUCEukSFJhw8fVsWKFeXj4xO3rXr16kmeN2vWrHGJDEkKCAjQxYsXEyx78OBBRUZGxiVcEjJv3jx99dVXOnbsmK5fv67o6Gj5+fklGQfgau5s07RnAMh8xo2TBg6U/n+2DUlS0aLSxIlScLDbwko3bDZpxAhp1Cjp5s0728uUkaZPlx5/3G2huQx5agAA4FBAgGvLJVfz5s1lGIZ++eUXnT59Whs2bEh0CKhk9rRyhSxZstg9t1gsia7m6+vr67CuLVu2qGPHjmratKmWLVumv//+Wx9++KHTC3wAruTONk17BoDMZexYqVcv+8SkJJ06JT3zjHTXTB9IxIcfSoMG2ScmJenIEXMxu9273ROXK5GcBAAADtWpIxUpkviwEYtFCgw0y6UEHx8ftW7dWrNnz9YPP/yg0qVL67HHHnP6+NKlS2vv3r2KjIyM27Zt2zaXxliqVCn5+vpq9erVCe7fvHmzihYtqg8//FBVq1ZVqVKldPLkSZfGADjLnW2a9gwAmce1a9KAAQnvMwzz4WD6X8icze2zzxLeFxMjRUWZvVLTO5KTAADAIavV/NZbip/MiH0+ZoxZLqV07NhRv/zyi6ZOneqwl1VCXnjhBdlsNvXo0UMHDx7UypUrNXr0aElm7ylX8PHx0fvvv69+/frp+++/17Fjx/Tnn3/qu+++k2QmO06dOqW5c+fq2LFj+uqrr/Tjjz+65NxAcrm7TdOeASBzWLIkfm+/u9ls0s6d0qFDqRdTevPDD473x8RIv/xizuWZnpGcBAAASWrdWlq4UCpc2H57kSLm9tatU/b8DRo0UO7cuXX48GG98MILyTrWz89PS5cu1a5du1SpUiV9+OGHGjRokCTZzVv3oD766CO9++67GjRokMqWLav27dvHzWnXokULvf322+rVq5cqVaqkzZs366OPPnLZuYHkcmebpj0DQOZw4YJzX3RduJDysaRXzryHhiH9+2/qxJNSLEZik61kYuHh4fL391dYWBgTWwMAMoSIiAiFhIQoKCjogf6Aj4kxV/ANDTXno6tTJ2V7TKaU2bNn6+WXX1ZYWFiS88ulZY6uK/cz6Zuj6+eq9ixljDadGdozAKRHc+dKzz+fdLkjR6SSJVM+nvRozBjp3XfNXqaJ8fAwk5O5cqVaWE5z9n6U1boBAIDTrFapfn13R5F833//vYoXL67ChQtr9+7dev/999WuXbt0ncgAXCE9tmnaMwCkDy1aSH5+Unh4wvs9PMyVpklMJu7556X33ks8OWm1Sq1apc3EZHIwrBsAAGR458+f14svvqiyZcvq7bffVtu2bTVp0iR3hwXgPtCeASB9yJpV+uKLhPd5eJiJtcT2w1SggDR4cML7rFbJ11caPjx1Y0oJ9JwEAAAZXr9+/dSvXz93hwHABWjPAJB+vPKK5O0tffCBdO7cne3lyknjx0s1argvtvTiww/NHqjDhtkvfFOtmjRxolS2rPticxWSkwAAAAAAAEgRnTpJL7wgbdxoJteKFZMqV5YsFndHlj5YLNJbb0mvvWbOEx0eLj38sFS+vLsjcx2SkwAAAAAAAEgxVqtUr567o0jfvLykhg3dHUXKYM5JAAAyEcMw3B0CXIjrmblx/TMWricAILMiOQkAQCaQJUsWSdLNmzfdHAlcKfZ6xl5fZA6054yJ9gwAyKwY1g0AQCZgtVqVM2dOXbx4UZKUNWtWWZjoJ90yDEM3b97UxYsXlTNnTlmtVneHhFREe85YaM8AgMyO5CQAAJlEwYIFJSkuoYH0L2fOnHHXFZkL7TnjoT0DADIrkpPA3c6dkxYvNn9u3VoqVMi98QCAC1ksFgUEBCh//vy6ffu2u8NxuzNnzIefn1S2bOqsGBkWJh0+bE4KX7685ONz/3VlyZKFHlaZGO05Y6E9AwAyM5KTgCT995+57NXOnXe2vfmmVLmytGaNlDOnuyIDAJezWq2Z+o/gffukt96S1q69s61ECWnkSKlt25Q5Z3i49O670vffS1FR5jY/PzOOwYMlT+7IcJ8ye3sGAADpHwviABERUvHi9onJWH//be6LiEj9uAAALnfggFSzpvTHH/bbjx+X2rWTpk1z/Tlv3ZIaNDDrjk1MSmbCcsQI6cUXJRbpBQAAQGZFchLo31+6ejXx/VevSu+/n3rxAABSzHvvSTdvSjEx9ttjk4NvvSXduOHac373nfn9173njD3vvHn2vTgBAACAzITkJDBjRtJlZs5M+TgAACkqNFRavjzhJGGs69elRYtce96JEx3v9/SUpkxx7TkBAACA9ILkJHDtWtJlwsNTPg4AQIo6cybp4dOentLJk64978mTjs8bHW0OKwcAAHCFixeljz6SihSRfH3NubU//TT5f9aePy8NGCAVLmzWU6qU9Pnn5pe5sUJDzcGIhQrdKfPFF/ZlnHH2rDlgMSDArKd0aenLL10/oiUtCgmReveW8uc3X3uFCtL48VJkpLsjSz0Ww2CWo3uFh4fL399fYWFh8vPzc3c4SGnZsyf9iZctW/I/XQEAacrx4+bNuSMWizRunPT66647b1CQdOJE4vs9PKRnnpF+/tl155S4n0nvuH4AgPtx/LhUu7aZoLx7tIiHh/Tww9KGDVLevEnXc+SIWc/ly/HrKVvWrOfiRalOHenKlfhlypc35/h2Zm3ZAwfMesLC7tRjsZj/PvqotG6d5O+fdD3p0V9/mWv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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_prediction(37, 3)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Évaluation du modèle" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "def precision(k, d):\n", + " n = len(X_test)\n", + " p = 0\n", + " for i in range(n):\n", + " if predict(i, k, d) == Y_test[i]:\n", + " p += 1\n", + " # else:\n", + " # \tprint(f\"Erreur pour X_test[{i}] : {iris.target_names[predict(i, k)]} au lieu de {iris.target_names[Y_test[i]]}\")\n", + " return p/n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9333333333333333" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "precision(3, d2)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ainsi, environ $93\\%$ des iris des données de test sont correctement classés.\n", + "\n", + "Pour savoir quel est le meilleur $k$, on peut afficher la précision en fonction de $k$ :" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "def plot_precision(kmax, d):\n", + " plt.figure()\n", + " plt.plot(range(1, kmax), [precision(k, d) for k in range(1, kmax)])\n", + " plt.xlabel(\"k\")\n", + " plt.ylabel(\"Précision\")\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_precision(15, d2)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Graphiquement, la précision est maximale pour $k = 9$ :" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9733333333333334" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "precision(9, d2)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut afficher la matrice de confusion pour $k = 9$ :" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[21, 0, 0],\n", + " [ 0, 29, 1],\n", + " [ 0, 1, 23]])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "M = np.zeros((3, 3), dtype=int)\n", + "for i in range(len(X_test)):\n", + " M[predict(i, 9, d2)][Y_test[i]] += 1\n", + "M" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il n'y a que deux erreurs : \n", + "- `M[1][2]` vaut 1, ce qui signifie qu'un iris de variété 2 (virginica) a été classé comme étant de variété 1 (versicolor). \n", + "- `M[2][1]` vaut 1, ce qui signifie qu'un iris de variété 1 (versicolor) a été classé comme étant de variété 2 (virginica)." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Autres distances\n", + "\n", + "Essayons d'autres distances :\n", + "\n", + "### Distance de Manhattan" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "def d1(x, y):\n", + " return sum(abs(x[i] - y[i]) for i in range(len(x)))" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_precision(20, d1)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9466666666666667" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "precision(9, d1) # on obtient la même précision qu'avec la distance euclidienne" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Norme infinie" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "def d3(x, y):\n", + " return max(abs(x[i] - y[i]) for i in range(len(x)))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_precision(20, d3)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.96" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "precision(7, d3)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Conclusion** : l'utilisation d'autres distances n'a pas permis d'améliorer la précision." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Frontière de décision\n", + "\n", + "On peut afficher, pour chaque point de $\\mathbb{R}^4$, la classe prédite par l'algorithme des $k$ plus proches voisins. Ici en projetant sur les deux premières coordonnées (longueur et largeur de la sépale) :" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [], + "source": [ + "import seaborn as sns\n", + "from matplotlib.colors import ListedColormap\n", + "from sklearn import neighbors, datasets\n", + "from sklearn.inspection import DecisionBoundaryDisplay\n", + "\n", + "def plot_decision_boundary(k, weights=\"uniform\", metric=\"euclidean\"):\n", + " clf = neighbors.KNeighborsClassifier(k, weights=weights, metric=metric)\n", + " clf.fit(iris.data[:, :2], iris.target)\n", + " DecisionBoundaryDisplay.from_estimator(clf, iris.data[:, :2], cmap=cmap, response_method=\"predict\", plot_method=\"pcolormesh\", xlabel=iris.feature_names[0], ylabel=iris.feature_names[1], shading=\"auto\", alpha=.5)\n", + " sns.scatterplot(x=iris.data[:, :2][:, 0], y=iris.data[:, :2][:, 1], hue=iris.target_names[iris.target], palette=[\"red\", \"green\", \"blue\"], edgecolor=\"black\")" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_decision_boundary(1) # k = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_decision_boundary(9) # k = 9" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut voir la différence avec une autre distance, par exemple la distance de Manhattan ($d(x, y) = \\sum_{i=1}^d |x_i - y_i|$) :" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_decision_boundary(1, metric=\"manhattan\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extensions\n", + "\n", + "### scikit-learn\n", + "\n", + "scikit-learn est une bibliothèque Python qui contient de nombreux algorithmes d'apprentissage. Elle contient notamment [`sklearn.neighbors.KNeighborsClassifier`](http://scikit-learn.org/stable/modules/generated/sklearn.neighbors.KNeighborsClassifier.html) qui permet de faire de la classification par les $k$ plus proches voisins, avec beaucoup d'options. Cependant, l'objectif de ce cours est plutôt de comprendre et réécrire les algorithmes plutôt que de les utiliser comme des boîtes noires.\n", + "\n", + "### Poids des voisins\n", + "\n", + "Lorsqu'on considère les $k$ plus proches voisins d'une nouvelle donnée $x$, il serait intéressant d'accorder plus d'importance aux voisins les plus proches. Pour cela, on peut donner un poids à chaque voisin proportionnel à l'inverse de sa distance à $x$ (plus le voisin est proche, plus il est pertinent pour prédire la classe de $x$). \n", + "\n", + "On obtient à nouveau une précision optimale de $\\approx 97\\%$ :" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "0.96" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def maj(x, L, d): # renvoie la classe qui apparaît le plus souvent dans L\n", + " compte = {}\n", + " for i in L:\n", + " if d(X_train[i], x) == 0:\n", + " compte[Y_train[i]] = float(\"inf\")\n", + " else:\n", + " compte[Y_train[i]] = compte.get(Y_train[i], 0) + 1/d(X_train[i], x)**.5\n", + " return max(compte, key=compte.get)\n", + " \n", + "def knn(x, X, Y, k, d): # renvoie la classe prédite pour x par l'algorithme des k plus proches voisins\n", + " V = voisins(x, X, k, d)\n", + " return maj(x, V, d)\n", + "\n", + "def predict(i, k, d): # renvoie la classe prédite pour X_test[i]\n", + " return knn(X_test[i], X_train, Y_train, k, d)\n", + "\n", + "def plot_prediction(i, k):\n", + " x = X_test[i]\n", + " neighbors_i = voisins(x, X_train, k, d2)\n", + " neighbors = X_train[neighbors_i]\n", + " cmap = ListedColormap([\"red\", \"green\", \"blue\"])\n", + " norm = plt.Normalize(iris.target.min(), iris.target.max())\n", + " fig, ax = plt.subplots(1, 2, figsize=(16,7))\n", + " fig.suptitle(f\"Variété prédite par KNN avec k={k} : {iris.target_names[predict(i, k, d2)]}\")\n", + " for j in range(2):\n", + " ax[j].scatter(X_train[:, 2*j], X_train[:, 2*j + 1], c=Y_train, cmap=cmap, norm=norm)\n", + " handles = [plt.Line2D([0, 0], [0, 0], color=cmap(norm(i)), marker='o', linestyle='', label=label) for i, label in enumerate(iris.target_names)]\n", + " ax[j].legend(handles=handles, title='Variété')\n", + " ax[j].set_xlabel(iris.feature_names[2*j])\n", + " ax[j].set_ylabel(iris.feature_names[2*j + 1])\n", + " ax[j].scatter(x[2*j], x[2*j + 1], s=300, c=Y_test[i], cmap=cmap, norm=norm)\n", + " ax[j].scatter(neighbors[:, 2*j], neighbors[:, 2*j + 1], s=120, c=Y_train[neighbors_i], cmap=cmap, norm=norm, marker='X')\n", + " plt.show()\n", + "\n", + "plot_precision(20, d2)\n", + "precision(9, d2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "### Boule de rayon $r$\n", + "\n", + "Plutôt que considérer les $k$ plus proches voisins de $x$, on peut aussi fixer un rayon $r$ et considérer toutes les données qui sont à une distance inférieure à $r$ de $x$ (dans la boule centrée en $x$ de rayon $r$)." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Exercice** : Adapter l'algorithme des $k$ plus proches voisins en utilisant les deux modifications ci-dessus. Comparer la frontière de décision et la précision obtenues." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "### KD Tree et Ball tree\n", + "\n", + "Pour accélérer la recherche des plus proches voisins, on peut utiliser une structure de données adaptée comme un [KD Tree](https://en.wikipedia.org/wiki/K-d_tree) ou un [Ball tree](https://en.wikipedia.org/wiki/Ball_tree)." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.9.2 64-bit", + "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": "3.9.2 (default, Feb 28 2021, 17:03:44) \n[GCC 10.2.1 20210110]" + }, + "vscode": { + "interpreter": { + "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}