diff --git a/Volume1/Chapter7/k_means_clustering/README.md b/Volume1/Chapter7/k_means_clustering/README.md index e3f7492..64f2140 100644 --- a/Volume1/Chapter7/k_means_clustering/README.md +++ b/Volume1/Chapter7/k_means_clustering/README.md @@ -1,6 +1,6 @@ What it does : - 1. This code generates random data in 2D and runs the k-means algorithm on the dataset using the value of k provided by the user. + 1. This code generates random data in 2D and runs the k-means algorithm on the dataset using the value of k provided by the user. Then calculates the Silhouette score. Dependancies : diff --git a/Volume1/Chapter7/k_means_clustering/k_means_clustering.ipynb b/Volume1/Chapter7/k_means_clustering/k_means_clustering.ipynb index 4c3a166..5700040 100644 --- a/Volume1/Chapter7/k_means_clustering/k_means_clustering.ipynb +++ b/Volume1/Chapter7/k_means_clustering/k_means_clustering.ipynb @@ -1,20 +1,4 @@ { - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "name": "k_means_clustering.ipynb", - "provenance": [], - "collapsed_sections": [] - }, - "kernelspec": { - "name": "python3", - "display_name": "Python 3" - }, - "language_info": { - "name": "python" - } - }, "cells": [ { "cell_type": "markdown", @@ -44,9 +28,11 @@ }, { "cell_type": "code", + "execution_count": 1, "metadata": { "id": "K2StfaIb6nCM" }, + "outputs": [], "source": [ "# Import pyplot to plot the graphs\n", "import matplotlib.pyplot as plt\n", @@ -55,10 +41,11 @@ "from sklearn.datasets import make_blobs\n", "\n", "# Import kmeans module\n", - "from sklearn.cluster import KMeans" - ], - "execution_count": 1, - "outputs": [] + "from sklearn.cluster import KMeans\n", + "\n", + "# Import silhouette_score function\n", + "from sklearn.metrics import silhouette_score" + ] }, { "cell_type": "markdown", @@ -71,25 +58,15 @@ }, { "cell_type": "code", + "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "id": "zZzHFSck61Bm", - "outputId": "422e1c9d-e579-4bcd-a8db-c2e94612c1ff" + "outputId": "29e5147a-6368-42e9-996e-3c469e04b356" }, - "source": [ - "# Generate the two dimensional dataset\n", - "X, y_true = make_blobs(n_samples=300, centers=4, cluster_std=0.8, random_state=0)\n", - "\n", - "# Plot the dataset figure\n", - "plt.scatter(X[:, 0], X[:, 1], s=50)\n", - "\n", - "# Show the random dataset figure\n", - "plt.show()" - ], - "execution_count": 2, "outputs": [ { "output_type": "display_data", @@ -103,6 +80,16 @@ "needs_background": "light" } } + ], + "source": [ + "# Generate the two dimensional dataset\n", + "X, y_true = make_blobs(n_samples=300, centers=4, cluster_std=0.8, random_state=0)\n", + "\n", + "# Plot the dataset figure\n", + "plt.scatter(X[:, 0], X[:, 1], s=50)\n", + "\n", + "# Show the random dataset figure\n", + "plt.show()" ] }, { @@ -116,14 +103,29 @@ }, { "cell_type": "code", + "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "id": "u-VOnohq66jP", - "outputId": "ba608142-21b8-469f-dece-a66ca4975b54" + "outputId": "d3bfe8c7-48e0-4718-dcb0-a773ed330042" }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ], "source": [ "# Mention the generated number of clusters and initialize the model\n", "kmeans = KMeans(n_clusters=4)\n", @@ -147,22 +149,59 @@ "\n", "# Show the clusters with their centroids\n", "plt.show()" + ] + }, + { + "cell_type": "markdown", + "source": [ + "# **Calculate the Silhoutte Score**" ], - "execution_count": 3, + "metadata": { + "id": "nacILk2U-y0E" + } + }, + { + "cell_type": "code", + "source": [ + "# Calculate Silhoutte Score\n", + "silhoutte_score = silhouette_score(X, kmeans.labels_, metric='euclidean')\n", + "\n", + "# Print the Silhoutte score\n", + "print ('Silhouetter Score:', silhoutte_score)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "c0BW9Dgz_KLL", + "outputId": "00f985d5-4a35-4ad5-c2cc-be215d85d449" + }, + "execution_count": 4, "outputs": [ { - "output_type": "display_data", - "data": { - "image/png": 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xq17Bv2KiDwv4c/PBAg8Cfxw4HedT80XTBCfOJxaoyAyymtC8OPxcgi8xi0VH50pzXTrwjGw7Q8f84lO21OlysWrn0RI5cE0TnPazIBmfkond6SqQ35yfsOAAj+Kbeev28vHMVTicLjQhOBabyKaDMQzr1YahPVrx/rRl/LP7OLIsYXeqGGSZ8uWCGdStOYO7NsdkNLD7+DkmLFjHrmOxmIwKt7Spz8jb2udlfwjNheZ0IBvNSHLhL2aqptGs1r/Vj9uPnCnKx1MAu9PF+XxNGwqjSmRoTnaL5/emKDLlw4ILbKsVHUFESCBnEjy/D4vJwIAuzYpts47O1cQlOXBJkp4FRuKuQt4DjBBC+F71ukqYs2YPyX4qAIES5VGDO4vDajIUCElcPK4vCVdvpGRk89FvKwvEcQX/Ng1evv0wp+NSCjyMnC6Ns4mpTJi/jlU7jzLilra8/N0feW8FDtXFvPX7WLX9EGrsPg6v+QNb8gUkWUZoGpbwClRo0Z1ytVsgK95K/BXaNajO6z8sJjk9i5Z1KnMhqfghJ6vZSL1iFE8N6NKMWf/s9urAQeQtiuYiSRL/99BtPDp+dl6IDNzdfRpWq8Ad7RsV22YdnauJEi9iSpJUGVgLNBJCZEuSNBP4Uwjxo69zrvQiJrhn3/3e/pFEP7FXoyIz6vb2PHRLyfKQx0xfwbx1ez1m+AZF5pa2DYrVqeb3tXv4ZNbfXkMysuxeGPTu0NxYjAYsJgMpFz2wMi/EcOzP75DRcNo9H2bumbhC7T6jCCxfUMQqIiSAzGw7tpyHSu7DTkLy2dnemxBVSICFxWNGFks06ve1exg78280TcPp0pAkt+yu1WRACKhdKYJPH+1LVL4UxLMJqfy8fBubD54iyGri7s7Nua1dAz3PW+c/g69FzEsNoRgAqyRJTiAAiL3E8cqUU3HJDB/7G6k+yrtzCQm0MKhrixJf58k7O7L54GkupKQXKGCJCA4odlgmNTMbhw+xJ00TaIXoZ9ucqkfcODPuFEcXfoOmOvC1RKk57QAcXfA1dfo+XsCJ52+CDPh9gEgS1I6OJDUrm8xsBy5NoCgSVpORCaOLr/jXv1NT2jWoxu9r9zB91Y48GdncN56Dp+N4cNxM5r07HCUnFFQ5MpRX7ulerOvkJzkjmzlrdrNmz3GsZhP9OjahR8u6JX5Ly096lo0dx2IxKDKt6lTxGVrT0fFGif+1CCHOSpL0CXAKyAb+EkJ4tH+RJGkUMAqgWrXi60mXJi999wepmdl+XZ5Bkfj11aGXtMAVHGDh19eH8uemAyzefBCBoHeb+tzRvrHfbI2L2XTwFD8t24YviWyDIrudeCFvUSLfHWsulWN/TEJTHUWyQVMdHPtjEk2GvYOsuLNjfFW0AhhkGTXfwqEQcDo+mRcH3kTFiGBOx6VQOTKUDo2q5znY4lI5MpRG1SsgS5LHd+nSBMnpWazbd5IuTWuVaPz8nIpL5oGPZ2BzOPPCWHtOnGPOmt1MGN0fYzHCYfkRQvD1gvVMW7EtL1NGE4IXBnalX8eml2y3zvVBiacQkiSFAXcCNYFKQKAkSfddfJwQYpIQoo0Qok1UVFTJLb1ETsUlE3MhGX++zmIy8Ez/LgVev0uK1WTk7s7N+P75QUx+fjCDurYolvM+ejaBZ7+ZT6qPWL2EWyzKYPD/FZoMMuZ8MrEpx3YitOKp7AlNJeXYLvfPhRyresn6sDtdfDL7b1rWrszgbi3o1KRmiZ03uJ3frmOxZNmdXvdn2Z3sPVE6MsFv/LCEtCxbgTWIbLuTvSfPM2dNyfVzfl25g19WbsfudOWlmmbbnYyd+Tfr9p0sBct1rgcu5R2wJ3BCCBEvhHACvwM3lo5ZpU9CaqaHlnR+ZEnipUE3MaR70VLayprJizf57bST60j73NAQq4/XbkkCs9FI03xNjS/sWJkXHikqmtNB3K6VWE1GureoTSH9JbyiyDIbDnhqqvgjMS2Tn5ZtY+zMVcxfv4+EtEzGzFhJx2e+YtqK7T7PMxkUQgKLlkrpj7iUDA6fiff60Lc5VH5bvbNE47o0je8Xb/KZavrNgvUlGlfn+uNSAm6ngPaSJAXgDqH0AK7sCqUfalQI95lDLEkSN7Wow10dm1xmq3yz41hsoaGR9Cw7aZk23hnWmx//2sLxc0k4VBWjoiCEoEG18jSsVoEFG/YBIDQNW/KFEtljSzrPHx88SJZd5e9dx/D7KuMFIQR2h4oQglNxKQghqFY+zKeGyZItB3n352UIBI6ctEvHNBey7H/RNpfebYpe4emL1EwbRoPi899Nmh+ZAX8kp2djc3h/ewA4GutbR11HJz+XEgPfJEnSbGA7oAI7gEmlZVhpEx4SQNfmtVm965jHL6TZoDCid9srZJl3AooQbtGEYPWe43z4cB96tXY7LJtD5WxCCiEBFkICLfR4cWLeTE9z2nNSBYvfqMBgMCC5nFSKCGVwtxb8unJHsc5XXRoOp8qtr31Peo7jC7SYeWlwN49y+rMJqbz787ICCoV59+Dy/eCQJQmTQeHp/p2JCr30MFiVqFCvlZ/gDmE1rl6xROMGWkx+e3+Wph6PzrXNJS2jCyHeFkI0EEI0EULcL4Qo3rv5Zead+2+mTb2qmI0GrCYjgRYTFpOBt+/vRaPqV5eAUUARf4ldLq3AjNRiMlA1qhxhQQEs3Li/QOxWNpoRfioT/aGqKkFBbqf4SJ/2Xp2MnKN3cnGRqcVooEWdSnz02yriUjLIdqhkO1QS0jJ588elrN17osDxc9bs8VtBeTGKLFExLJiereoy6bmBDO5W8gyi/FhNRgZ3beE1M8RsNPDwbSVLM7WajXRoVAPFy9uHyaDQv5O+iKlTNK6rnCWr2chXo/tx/Fwiu0+cI8hiomPjmj4XF52qixU7jrBkyyEkCW5p04DuLeuUOPPAF6pLyxN8Anea3pEz3psceyBBUnoW0eEhrNh+hC/mr+V0XAoS7hh4/omeJMtYwipgSy7+Al/jxo1RcrIlggMsfPvM3Yz+ap67AYVLQ5YlIkICefeBm5kwfz17TpzDaFBwuTT6d27K9iNnvfbHtDtVxs/5h0458rUAJy8k+ayS9YbZaODpfp3p3bZ+se+rMJ68qyOZNgcLNuzL+94lCd66rxdNa5Zcgvi1IT24/8NfSc+y530uVpORquVDr7q3QZ2rl+tKjbA4ZGTbGfHJb8QmppGdk+1gNRupEhnKlBcGl+g1d/WuY0xctIHj55MItpppVbcyB0/HcTY+FaNB4Za29Xm6fxdOXUhm9IS5ZGQXnuqnyDJDurekWvlyjJvt2ZzgYpIOb+X0mjnFWsgMCgpi4sSJDB06tMB21aWx8UAMF5LTqVExnFZ1Kuc9hBLTMknNtBEdHoLZaKDtk+N9hs1lSWLt+CfzZrpfL1jH1GVbcapFc+IGRWbG6/dRKzqiyPdUXJLSsthz4hwWk4FWdauUykM8PdvOvHV7WL79CEZF4Y4Ojbm1bX1MXhpc61zf+Crk0R24D8ZMX8G89Xu9OpHo8BA+e6wv9aoUPS1y+qodfDlvrV8Ha1BkokID+fTRvgwf+5vfbu35aVy9AicvJJNpK9zhay6VvT+9g8tedBXA8PBwYmNjMZtLlhsvhKDd6C98Lj4qssyGL0bnFcacT0qn/7s/FvowysWoyEiSRL+OTXhx0E0+F0Z1dP6r6HKyxUAIwcIN+33OAM8lpTH84xnsPVm0UESmzcEXc/07b3DPaJPTs9l86DQ1K4b77CB0McWZDcqKgdp9RiEbivYGERgYyJIlS0rsvMGd5dO9RR2v9yNLEh0b1yhQ1VgxPJgxD92GxWTIm5W71Q+t7hnqRffrzJGqnb9hH1OWbC6xnTo6/zV0B+4Fp+rC7kcHG9wl6h9OX1Gk8TYfPFXksmubU2Xx5oN8OPI2QgIthZZWu3Oz6xRp7FwCy1ejTt/HUcwByEbvjjkoKIjw8HBWrVpF27aXHpN9pn8XQgItBT4HgyITZDXxwsCuHsd3bVabpR+O4oWB3Xj09g68M+xmFo95mA8evI1a0d5by9kcKj8t3+pTj0VH51pDD7Z5wWQ0EBkSQHxqpt/jjpxNIDXTRmighbRMG/PW72X9/hiCrWbu6tiEGxtVRypEbMo77hzp+e+N4Ps/N/HLiu1ec8JNBoWereoyqGtzJv25sdBRZVnKS18LLF+NJsPeIeXYLi7sXIEt6V81woCIikz47CMGDxpU6Mw7977X7TuZ775reIQxKoYH89sb9zH1r60s23YYAXRvUYcRvdtS4SIZ2FyCrWavGRknzif7tCfL5mTAuz9Rs2IY9/VsXUAzXUfnWkN34D4YeVs7Ppvzj/+whyThcmnEXEhm+NgZ2J1q3vHr953kxsbV+Wjk7bSuW8VvZ5v8mI0GbmnbAHA7sCNnE3wW9FQIC+KdYTcjSRLP3d2Vj39b5TXTw2iQEULQqk4Vdh+PzVMRlBUD4fVaE16vNULT0Jz2PD1wU5UmhTpvb/e94UAM7RtU4+NRt3uUy0eFBvHCwG68MLBbkT4LX4QEmIlP9SHwJQSn41M4HZ/C5kOnGdH7hhKn++noXO3oIRQfDOjcjHu6tfDbZLdieDBhwVZe+f4P0rJsBZx9tsPJ+n0xLNl6kPCQAAZ0aVZoGEUCygVZ6Jdv1rnl0Cmfx8cmpuU57Ls6NuGDB2+lZsVwJNxx8VZ1q2AyKEiShCLL7DlxjojQIK965JIso5itec0cPp+7lj0nzvm199XJf3ret93JxgOnWJzTILksGNC5GWZj4XF/m0Nl8pJNnI5PKTNbdHSuJLoD94EkSTzVrzOTnhngVUPFbDTw4sBunE1I5aQPkaxsh5PpORWLz93dtdBYdf1q5fnllYJKiP4eIAJYtGE/v6/dw7mkNG5qUYc5bz/A5glPM+etYeyPOY9DdeHI6cie7VC5kJxOlahQokID/dricKpMXux7QfBsQionzicVet9lwbCb21C/avkiiYNpmmDx5rJ7mOjoXEl0B14IretV4YcXB9O4RkUMiozRILsbDY+6nU5NapKYnuVXJCspp3GELEu8M6y3z/xxs1Fhwuj+hIcEFNh+Y6MaHpWNuQhNMP73f/hk1t/0e/tHPvh1OZomUGSZ3/7ehctHr8vYhDTGPXIHlSJCvIyaMzawN8Z3lk1SehZGP0qISen+NdcvBbPRwPfPDeLdYTfTqUlNKvu5D9WlkZpZdrbo6FxJ9Bh4EWhUvSI/v3wv6Vk2VE1QLtCSNzOu6VckiwIl+haTga9G9+PJL+eiaYJshzMvy2Tsw7cTFmT1GOPp/p3Zevg02Xanh5SrgAKt2/7YdICqUeUY1qsNe2PO+6xmVBSJ2KQ0vnyyH3e/O9Xnfat+Cmmqlw/LK3C6GEmCRtXK+zy3NDAoMj1b1aNnq3ps2B/Di5MWepWXDTAbaVmncpnaoqNzpdBn4MUgOMBCWJC1QFgjJNDCLW3rY/ZSPWc2GDzKopvXqsSSMQ/z/MCuDOnekqfu6sTi/3uYjvlKyfNTs2I4P718L52b1sKgyMiy5LOnZm6fTCEElcJDfM/cBUSGBBJ50Wz/Yux+FPPW7jvhc59RUXjwlhv8jl2atGtQjQphwR5rDIosERpooWvz2pfNFh2dy4k+Ay8FXr23B5k2B2v2nMCQUxUohODt+2+mkRfFukCLqViCRbWiIxj/+J0AaJpGmyc+93lsera7McCgbs1Zteuo1yyaQKuJFrUrk5KRjVGRfc7UfdXoappg/Jw1Pjvz1K8aReMaJVPqKwmyLPHdswN5+fs/2HvyHEZFwenSqFs5krGjbtd7X+pcs+gOvBQwGw2MHXUHZxNS2X38HAEWI+0bVvc6K79UZFkmJMBMWpZ3LRODImM2GWheqxLDerbhp2VbcbhcaJrAYjSgKDLjH7sTWZYIC7YSGRrIuaR0r2O1rlfF6/bzyWmkZ/vWUjl5wXeedlkRHhLAd88N5GxCKmfiU4iOCKFa+bDLboeOzuVEd+ClSOXIUCpHhgLucvyyYkDnZkxbud2jY4/RoNC3Q6O8/OtH7+jATS1q8/vaPcSlZNCidmXu6tiE0JxuNbn542/+uMQjf9xiMvBE345er280KH7vz3AJ7dIulfzfgY7OtY7uwLOjaM4AACAASURBVEuRbIeTiQs38PvaPWTaHESHhzDy1nbc1bGx33TA4vJwn/ZsO3KGI2cT8hbuAsxGqkaV4+l+nQscW79qeV69t4fPsXq0qotL0xg3ezXpWXY0IagcGcrrQ3r41EiPCg2iavlyHItN9NhnVGRuzSlE0tHRKVt0NcJSQnVpDP94BkdjEwpkpVhMBoZ2b8UTd3qfzZYUl6axft9Jlm49hKYJerauR5echc6SIIQgNjENgyKTnmVn5uqdnI5PpV6VKAZ1be4xq911PJbHPp+D3anm5YIbFJlygVZmvH6fRzqkjo5OydHlZMuYFduP8NZPS72m1pkMCov/byRhwVe/U/tt9U7Gz1mD6nLh0gRGRUaRZcY8dJtHNseRswl8s3A9Ww6dxpAz8x55azvdeevolDK6nGwZs2TrIZ950QZFZt3+k5fXoBJwNiGVz+b8g92p5mWYOF0aNqfKq1P+LKA3nmVzsGTLQXYei8WhuqgUEcKNjWt4OO/4lAw2HYjhmN6oV0en1NFj4KWEvw7yIu9/VzcLNuxD+EgNlCSJlTuOcEeHxtidKiM++Y2YC8l54aIDp+J46btFPD+gK3d3bkamzcGbPy5h/b6TmIwKqkujUkQIY0fdQc2K3uVgdXR0ioc+Ay8lbm5dz6c2h8ul0b5h9QLbHE6VLYdOs+lAjM+Z++XmQnKGz5xwh1PNK49fsuUQZ+JTPCpQbQ6VT3MUHJ+buID1+07iUF1kZDuwOVROnEviwU9+y+tKr6Ojc2noM/BSonuLOkxevIlTcSkei5j9OzUlMp941Pz1e/lk1mrArUCoahojb23HiN5tSzVbpbg0qVGBZdsOk+2lAtNsNFC3SiQAizbuK1DCnx9Zkli0aT+7j5/zcPACdxPjhRv2M6RHq1K3X0fnekOfgZcSRoPClBcGc0eHRpiNBhRZIjzYypN3duL5Af92nFm79wQfzVhFps1Bps1Bhs09O/1+8SZ+X7vnCt4B3HpDQ68CVe6inwDaN3C/RRTWbPh4bKLPMn6bQ2WTH4lcHR2doqPPwEuRIKuZ14f05NV7emBXVSxGg8eMesL8dV6bLtgcKt8u2kj/Tk2v2Cw80GJi0rMDeWrCPDJyKi0FUDEsmK9G98vrstOjVV0On4n3eh+qy0Wj6uVZuNH73ECS8CrapaOjU3x0B14GyLKE1eQ9Hn7US/FLLqmZ2aRl2fMqJa8E9apE8ecHI9l25AwXktOpXiGMJjUqFnio3NWxCdOWb8OZ7iqgh5Kb896jVT3GTF/ldXyL0cBdHZuU+X3o6FwP6CGUy4y/JgQCCm1ifDmQZYm29atye/tGNK0Z7fFGEGw1M+2VIXRqUhOjImMyKpQLtPDknR15vO+NWE1G3n3gZiwmQ4HemFaTkdvaNaR5rUqX+5Z0dK5JLslbSJJUDvgeaILb/zwohNhQGoZdq9zRvhGz1+z26JGpyBKdmtQsEwGssiCqXBCfPXYn2Q4nWTYH5YKsBXpg9mxVj2rlw/hp2VYOnIojqlwgQ7q3onOTmld0oVZH51riUr3F58ASIcQASZJMgF6CVwiP3t6e9ftOciElPU/q1WxUCLKaeeWe7lfYuuJjNRl9hovqVYnifyNuLdXrpSWlc+bwOcIqhBJd07tWS2FomkZibDLmABMh4cGlap+OzuWkxA5ckqRQoAswHEAI4QAc/s7RcTeF+PW1oSzYsI9FG/fj0gQ9W9VlQOdmhFzB2PfVjj3bzvhHJ/HPrA0YzUacDpUajavw+vRnqVS76Nrji6es4IfXp5OZlo3m0qjbqhbPffcoNRpXLXCcw+Zg9awNbJi/BXOgmV73d6Vljyu3wHy1o2kaO1ft4+SeU4RHl6ND3zaY8/V21SkbSqyFIklSC2ASsB9oDmwDnhZCZF503ChgFEC1atVax8TEXJLBOtcnb/b9kK3LdqHaC2a+hEYGM/XoVwQWQX9l4cSlfPvCz9jzaalLEliDrXy78xMq1nC3gUuOS+WpDq+REp+GLcNddGQJstC8W2Pe/f1FFB8dkQCO745h1rgFHN52nPJVI+j3VB/a3tLimnb8cafiebHneySfT0F1qhhMBkDinTkv0Kpnsytt3jVBqYtZSZLUBtgIdBRCbJIk6XMgTQjxpq9zrmUxK53SQQjB3rUH2bPmANYgC50HtMeWYePhps+hOj17j0qyxCNjh3H3s7f7HVd1qgysMJKMlEyPfYpB4daHuvP0N6MAePPOj9iyZAeui65nDjDx8Ef3cecT3sNCq2dtYOyIr3DaVbScilZLoJlbRtzEE1885Ne+hLOJTP9wHuvmbkKSJDoPaM/gl+4iIvrqbkohhODBRs8Qe/R83j3nYgk088OhL4ispEsnXCplIWZ1BjgjhNiU8/fZgF5ep1NiMlMzebL9q7zW5/+Y+vZvfP/KNB6o8yRTXp/u1XkDCE2w9EfvKYv5OXXgLC6X9zFcqouNi7YBkJGSyba/dno4bwB7loPfx//pdYzsTBtjR0zAnuUo4MhsmXYWT1nFgU1HPG0XgrVzN/F4m5cYUu0xFny9hMTYZBLOJrHwm6WMav48cafiC723K8m+dQdJOJvk4bwBXKrGH5OWXQGrrh9K7MCFEOeB05Ik1c/Z1AN3OEVHp0R8PHwCJ3bFYMuwobk0HDYnDpuTDQu2+D0v4WxSoWMbTAaEy08XoZz0zdSENAx+MoFS4lO9bt/8x3ZkxXuYxGFzsGTKSo/tXz/zAx8N+5Ij20+4OxzlM091uMhIzuS7l6f5tOVq4NSBs+BDAM1pd3Jku+/m1zqXzqVmoYwGfsnJQDkOjLh0k3SuR5LjUtmyZCdOLxorvmbfuViDCl/8rVq/EiGRwdhOefbyNFqM9BrmljuIrBzut11ctYbe+4RmpGR6nYWC+y0hJa6g4z+xJ4bF36/Anu173V9zaayduxkhxFUbQ4+oHI7ko4mIYpCJrln+Mlt0fXFJhTxCiJ1CiDZCiGZCiLuEEJe/m63ONcGFk3GYLL6LnHwhyRKd7m5X+HGSxHPfPYo5wFRgu8FkILxCOfo/3QcAs9VMn1E9PY4DsASYue+Nu72O36BdXZ/XtgSaadG9YPXp8mlrvD6sLkZ1qMQeO4/Ti8DY1UCbm5tj8lGcJhsU7nist9/znQ4nq2dt4Ic3pjN/whLSEr032Nbxjl6JqXNVEFklAqcfWd3IyuFeHbw1yMKAZ+8o0jVa92rOuFXv0ubm5lgCzYREBtP38d58ve0jgsr9qxY58sP7aH97G0wWI+YAM9YgC0aLkWHvDqJdn9Zex67dvAb1WtfGaC74UitJEiaLkZsf6FZge1Zals8Ze8EB4NGWLzIg6iF+fm8WmlaEcy4jikHhf4teISDEimIs6E60nBi4rzeaM0fOcV+Nxxk38mt+/b/f+e6lnxlS7VFWz1x/OUy/JtBbql1HOF0uZqzawYxVu0jNzKZWdASP9GlPxyY1r7RpALzU6z12/7PfYwHREmjm5Z9Hc2znSWZ/ughZklBVF1XqRfPy1NHUalbdx4iXxtmj59i1ah9Gi5F2fVoVWvSTmZbFmKGfs2PFHoxmIy6ni/LVI3l7zotUa1C5wLGrZ21g3ENfk51RdG10c4CZ2x7uQad+7chIzqROq5qUrxpZonsrbZb9vJpPR37jEe4yB5gZ9s5ABr1wZ4HtQgjur/0EcTEJHg7ebDUxafe4YuX3X+voPTGvc1yaxhNf/M7u4+cKqAhaTAae6teJe7q1vILWuUm+kMIznd8k+UIK2ek2FIOMYjRwx2M388jYYUiShD3bztkj5wkMDaBC9agrbbJX4k4ncPrgWcIrlqNmU+8PF9WpMqLB08SfTsSl+o/xX4wlyIwsyzjtKu3vaM3LU5+84kUzDzd7npN7vcsEB4cHMevC9yjKv/nzu1bv4807PvT6ADMYDdw5+hYe/eSBMrP3v4YvB/7fEN7QuWTW7j3BnpPnPSRgbQ6Vz39fy+3tGhF0hZ1AWIVyTNk/ng0Lt7Jz5R4CywXSfUhnqudbODRbzWU24y4tEmOTmT9hCUe3nyCsYij9nupD9yGdkPNpxRiMBj5f9z/G3PcF+9cfwmAy4LA5adqlISnnUznhwxkC2DL+XYjd9Md2Pnnwa16f/myZ3lP8mURW/PIPyRdSqd+2Dp36tysQ+z596KxvezPtpCdlUC4qNG/bueNxPkMrqlMlZt+Z0jP+GkZ34NcJizYe8Nt0ecP+GHq1rneZrfJEMSh06teOTv0KX5gsK1Snyu7V+8lMy6bBDXWIqhJR5HNX/LqGz0ZNxJHtQAi34/v8sUlsWLiVN2Y8WyCbJLxiGGOXv03C2UQSziZRsWZ5ykWF8kL3d4p8PUe2g3XztpAQm1RmBTMLJy5l4nNTEULgtKtYgyx8+/xUPlvzfl6YIyg0gNQEXwuQgoDgghrw0TXL+8ysMRgVqjWs7HWfTkF0B36dYPOTxSCEwK4WnhFxLZIcl8qGBVtx2By0uKkJF2Li+fD+L/IWGJ12lY79buDFH57wmW2Riy3LzvhHvsWeVTA10JZpZ/Of29m+fDetezX3OC+ycgSRlf99SPQecROHthzFlumZ8ugNk8XIid0xZeLAj+48wbfP/4TD9u+/n+wMG7YsO2/cPobJ+8cjSRJ9RvVi9qcLCxwHoBgVOvRti8lSMKunaZeGBIcHYcu0cfFEXClC9oqOGz0L5TrhphZ1fKoGqi6NtvWqet13rZCRksmBTUeIPXY+b9v0D+dyX43H+ObZH/jupZ95vM3LvNX3QzKSM8lKyyYrLRun3cmG+Vv44onvCr3G1qU7kWTvv1K2TDtLphReMQrQbfCN1GhcFZPVM5XRG5pLIySibFQV53252Gu6o9AE8WcSObz1GAD3vtafGk2qYQn8NwxnCTQTWSmc0V95ygjIssyYJW8QGhmSl8dvshgxWU08+92jVKkbXSb3c62hz8CvE269oQHf/7kJh6p6dNG5uXU9KoRdm7KqToeTr0ZPYdnPqzGaDLicLirVqUibW1ow/8vFHjNGb9izHaz8ZS2jPrrfr6PMTreB8J3m502HxRtGk5FPVr3D7+P/YO4Xf5ISlwbgM2YcFBZIvTa1C2xLTUhjxa9rOHc8jhqNqnDTvZ08whhF4fTBsz7THWVF5vyJOOq3rYMlwMzn6/7H2t838ddPq3E5VboM6ECP+7pgCfC+thIcHsTorx/myNZjOOwOKlQrz01DOhFWPtTr8fkRQvDP7I3MHDufuJh4omtV4J5X+nHjnW2LfY//ZXQHfp1gNRn56eV7eX/aMjYePIVBlkGCe7q14PG+N15p88qMTx78mnVzN+O0OXHmOOsTe05xYk/xGiubLEZi9p+haeeGPo9p3LE+Lh8Nny0BZtre0qLI1zNbzdz2cE9mfDTPp+M2mgwYzAbenPl8gXjypj+28f7gTxHCHSO3BJqZ9NLPjFnyBo3aF2+do3rjqhzcfNSrE9dcGpXq/JvqZzAa6Da4I90Gd/Q7psvlYsLTP7Bk8sp/8+YFPDvpkSI5b4Bvnv2RxZNX5IWZUuLTGDP0c/o/24cR799bxLv776OnEV6HpGfZSMuyExUaiOk/0gGoJMSfSeSBuqP9FggVFXOAmQlbPiyQEeONd+4ey5YlO3HkL5GXwGQxUa58CJIk0WVABwY+fwdhFcr5HWvGh3P5+f3ZBcfKHVKW6HV/V4a/f0+BRdbkuFTur/W4RxweIKhcIL+d+67QWH5+Tuw9xeh2r3qU/MuKTLWGlflu96dFHiuXya/9wtwvFheQ9QW32uOHS9+kSccGfs+POXCGx9u87PVzMVqMTNk/Pk8a+FqhLNQIdf6jBAdYqBwZek07b4ADGw97VEaWlArVIz2ct+pUsWcXdEKv/fI03QbfiNFiJDA0AKPFiKLIaC6NuJgELpyMZ94Xf/Jws+eJO53g95p71hzw6qTA/UbgdKis/HUth3Li0ADLfvob4UNcyuVysX7e5qLcbh41m1Rj9Ncj3VWpOTF5a5CFyCrhfLDo1WKNBe7GHPO+9HTe4FZ7/OX92YWOsfq39bic3hfdhSZYM2eT133XItf2b7BOmbPr730s+HoJ8WeSaNShLneNvu2qmf1Yg61FK1fPj+ReYMs9z2QxYjQbeWPGv3nWscfO8/WzP7J1yU6EEFSpX4lRH99Pu9taYbKYeHHKEzw67gHOHjnHLx/MYfOfO3DlWwh0OlTSkzKY+PxU3pr5vE9TwiuWA4kCKoW52LMcrJm9gX9mbcBgMtCgXR3+t/BVTh+M9RnXd2Q7OH8irnifB9D7gZtod1srVs/cQFpCOrVb1qBdn1YFCnOKyvkTcT4XegEObzte6BhZGdk+Q1Uup8vrw+FaRXfgOiXmm+d+5M/vlmPPsiMEHNl+nD8mLee9+S/TsnvTK20eLW5qjNNe9PRIS6CZ8Ogw7ntzAKtnric9KYNWvZrR97HelCsfSmpCGmmJ6Tx14+tkpmblzXRP7T/D+wPH8fJPo+l8d3sAgsOCqN+2DluX7vIZP14/fwuaphUo8MlFCEF6cqZX551Lbtm6S3VxYMNhvho9mRpNqmK2mryqHJqsJiqXMLujXFQodz5xS4nOzU9weBCqHxGvoLBAn/tyadm9KX9OWu61itMcaKZZ10aXZON/Cd2BX+MIxzZExgRw7gc5FAKGIgXciyQVX/kvP3vXHeSPScsLzHZUh4rqUHlv4Dhmnf/er652aeFPatVoMhIRHVZoqAIgrEIoj302gk79b8BoMtLr/q55+1ZOX8PkV34l6UIKLtXlod0N7kyVr56aQsd+N+Q5ZE3TfL7qg9uJu1QXssnTgc/7ajFb/9pVqN25OGxOVk1fy+QD45n61kyvxxjNRtrf4V2M63IRXjGMuq1rcmDjEY9QjznARN/HC8//btO7ORVqRHHm8LkCDwOj2Ui1hpX9LjRfa+gO/BpGy14Eqa8BOTMVVxKkf4KwLYfwH5Ck4r8C57Jo4l8+47OaqrFjxR7a3lI2+iqxx87z/SvT2LBwG5pLo1GHegx4/g4ObT7K0R0nqFSnInc81pvqDatQp1VNvw7cYFSwBln5bM37VK7jOTtdPGUFE56a4nVR8GKy0rKIPXqeKvUqAaAoCjWaVPOZ8VK5fjQHdxzGnu4kPSGD0wdjCQoLpNvgG5n58fxihwIUo4I9y8F781/i7bs+RgiBLdOOOcCMwSjzzu8vYvRRC3A5eXnqaEa3fw1bpi0v3GMJtFCnZY0iOXBFURj397uMe+gbtizdidFkQHWodOjbhmcnPXrVaqeXBXoWyjWKEHZEXHsQXnKPpQCk0I+QLCWvdnup13vsWLHH6z5rkIWnvn6Ynvd1KfH4vjh/Mo5HW71IVlq2xwxOMSi4VFeeCNaj44ZRvVFVXrvt/7w6Q6PZQP9n+tD/6T6EV/y39+T+jYeZ+vZvHNx0hOx0m98GD/kxB5iZuGNsgSKUzYt38N7AT/IeAJpwcYEzxEiHyRCpSMgINAIJoQb1qWyugSIpxQr95GIwGfgtdhIh4cFkZ2Qz98slzP9qMWkJaZisJlSHys0PdOPxz0dccUeelpjOoknL2LhwK5ZAC7c+1IPOd7cr9ltbWmI6CWeTiKoaQXBYUBlZe+XR1QivM4R9NSLlWRAZ3g8wdUUOL7y6UAgV7H8jnHuR5HCw3IakRPLze7OY8eFcrwtmZqvJnXLXqPSrOz964EtW/rq2SIuTJquJ7/d+yspf1/LrB3PQXBqq04U12EJgSADj1/7PQ9Fw46Jt/G/wp3475fgiqmoEv5z8xmMGuHrmer4cPZkLGbFsylqJQEPF00ErGJCQaUknQqXil8VLskR0zfI8/c0o6rSqyfB6T5GRnFngAWS2mujY7wZenfZ0scfXuXLoaoTXG8KG3xUwbzPziw9xxSISh4BIBZGJwAzpYxEhb9NnVE9mjVsIFzlwg8lA/RvqlInzBlg/f2uRM0s0l4slU1Yy4v176Tb4RlZMW0NKQhpNOzXMi3Xnx+VyMW7kNyVy3mariacmPOz19b3roBsxV5PpflN3nPge25Xj1Lexmtaiq08nXqFGFClxaTmCWf9+x0ITxB67wFt3fkSvB7phv2g/uGP1a+Zs4qExCVeNlrhOydHzwK9VjC1B+CpgsYD5pkKHEMmPgHY+n7O3u/9Le4+wiAt8vOxNIqLDsAZbCAixYrIYadKpAe/Ofam07sKLUUV/Y1QdLuJPJwJQuU40w94ZxFNfjeSmezp6DSEc3XGyyHFnSZby/qvbuhbvL3yF9rcXXCA8d/wCk1/7hbfv/oie3XuRbcsu0tgaLnawFk141wlv2L4en/3zHoGhAV7327MdrJy+xucahWKQ2bfuYJFs0bm60Wfg1yiSUh5h7QvZi8hbxARABsmKFDDI7/nCuR/UU4C32a4TkTWVBjeM4dfTE9m37hApcanUbFotbwGvrGh7a0v+mb3BZ7FKfiyBZuq3rV3ocbk47U4kufAFMMWoEFY+lIk7xhIcHuQ1DXDp1FV88fj3aKqL047j2Ch65x0AgcYFzhJNNY99mSmZVKpT0W83n6w03w8LW6adj0dMICstmz6jehXLLp2rC30Gfg0jhbwHAUMAK0iBgAmMLZAiZiHJhWhOuE6DzywVFziPAu6il6adG9L57vZl7rwBhr83uIDinT8Ug0LPfOmAhVGnZU3f3XEk96zbGmShcp2KCE0wuv2rTHt/todIVdypeL547Dsc2Q5Up4uTHMoLjxQVFyon8ZwlK0aFVj2bYTD6zyAyGA1+PyfVrvLV6MnM++rPYtmlc3WhO/CrHKGeQGQvQtjXIHyGRLwjSQbkkFeQKmxECp+JFLUSOWIGksFzVueBUgXw1epLBmOtYtlSWlSpV4nP1rxP+er/xm8lSUIxyJitJiyBZgKCrYRVLMcnK98hMMR7mMEbsiJjMnuXcFUMCh/99SaSLHH2yHkSzyVz7ngcMz6ax6MtXyzQTX3JD6vy3hCEEGSSVqJ7zSTNI4ZtDbLQe8RNmK3ughVvGXOyItNlYAead2uMrPj+FVedLn54Y8ZV2/Fep3D0EMpVitAyEClPgWMLSLlfkwLlPkcy+1d7uxhJsoKxbvEMMDQCuTK4juMZRjEhBVy5foUrf1lDavy/DlMIgUsVGIxw35sDqNOyJi26Nyl2qffa3zf5dGayLDPpxZ89QhNOm5PEc8n88sEcHvt0OOAuF8/V0Hah5qUKFhcJCRcqBozIikzluhV5e86LeelyT375EKPbv4ot0563sKsYFYJCA3jo/4YQUSmMfuHD3TK3PtBcGjH7zhAUFkh2ho3KdaOLJXalc2XRHfhVikh9DhybAQeIfxfWRPLjELkAyVC2fSElSYKwbxFJ97oXMUUmYAIkCH4FyXhlypUz07KY9+USHDbPBTqX6iLudCKDX7qrRGNvWLDVZxccSZI4tuuk132qQ2X5tH/yHHjdVjVZNX0dqlNFwVAi5w0gEAQFBXLPK/3p1O8Gj8yeag0qM3HHWH793xzWL9yKLMt0HdSBvk/cwp5/DpCRkklAsNWvA3epGu8NGkdibDKKQUZCYsjr/Rn04p1IksTBzUeYPmYuR3ecIKyCu7/nTfd29Ij7CyE4sOkIe9ccwBpkoVP/doWqLepcOroDvwoRrrNg3wBeU86ciMwfkULfLnM7JENViFoJtuUI5x6Qw5GsdyApFQs/uYw4visGxajgbU1QdbrYtqzo5ecXYw7w0wFHwu/Caf6Mj17DuvH9K7+A0+34A0VIicIoQVIo5gALPYZ29ikQFl2zAs9PfpxcSazlv/zD461eQlZkXKqG5vLf8d7pcHLu2IUC235+bzaaS6NCjfJ8+vA3OLKdCCGIO5XA+Ee/ZcPCLbw+/d/+nplpWbx66wec2B2D06FiMChMfH4qw/93DwOf61vs+9YpOnoM/GrEeQh8apWo4Nx52UyRJBOS9TbkkJeRgx6+os4b3JkltkzfM0qzpWhtyLzRY2hnnwt//gSYgAIdcZIvpFCl/r8LujWoj1LMuZKCgeqiPumJ6Yx76OsinXN42zHGj/oWe7aD7AwbDpsjT/DKG7Iie81bt2fZ+fX/fuezUROxZxXMJbdl2tn0h7u/Zy7jRn7D0e0nsGXa3WqA2Q4cNidT35rJdh/Vujqlg+7Ar0bkCLyn7+Xuj/K97xrH6VD9lrZXql2hxGO3uKkJLbo3xXxRCzBzgLnQnpNGs4Gk88nsWbOf0e1f48TumLx9FaiCVMxfNQmZClRG0wS7V+/nxZ7v8tO7M0k8l+zznJlj5+Pw0bxCViSCwwORFRmDUaFZl0aERAb7fKvQ/Lxt2DLtLJ6yEoCU+FQ2LtrmtWmGPcvOjA9/93ebOpfIJTtwSZIUSZJ2SJK0qDQM0gGMzUDyleZnRQq877KaczVxbOdJjH70MvLPOJ0OJ39+t5zHWr/EA3WfZNzD33DmyDmf50qSxDtzXmDkh0OJrlUBa7CVuq1q8dovT1O1vv8UyW1/7ebeqo/yYo933VKz+fyfLCm0pBMKRVtUlXEfL+ekcWqaYOfKvfz20TyG13uK3f/s93resZ0xPh2yNcjKmzOfZ6nzNxbbZzDu73cJLudbulW4NL81U5k5qZMXTsb7XfQ8dSDW9yA6l0xpxMCfBg4AIaUwlg65C4gTEEn3g1BxV0BKIFnA0hdMna+0iVeMsAqhGHO60VyMJEuUz9E2cTqcvNzrfY5sO44tp7ryQkw8f89Yx5jFr9Okk3fJUcWgcNeTt3LXk7diz7aTGJtMaFQItkwbe9Ye8KtO4K/EP1QKp4O1F3uNG1FdKhkZnho1hWmhuHVnnLzTfywzz33nIfwUVTWCM4e9O0zVoRJRqeCYtzzUnalvz/RasRlaPoS0hHSP7eB+I8lVmoyoHO63ZV2F6nq5fllySTNwSZKqAH2A70vHHJ1cJGMTpMhlEDgKjO3AcitSuW+RQt4rkVymEC53aqKfrullftg+kQAAIABJREFUgRAqWsZ3aHGd0c43RovviZY1p8gKfxdzw22tkPB+/yazkdtH9QRg+c//FHDe4M64sGXaGXPfF36v77A7+Wr0ZO6OfJBHWr7IwAojWTVzvV/nXRRCpQi2rt3OxIkTadKkCZIkYTQakSSJOjXr0tTcli70KVTIyqW62LrUc7H27mf6eI3hS7JE5XrRVGtQucD2Ox7rTXStCpgs/86gZVnCHGDm1WlP06Z3C0xWk8dY5gATvYd3AyCyUjiNbqyPYvB8u7AEmhnwvL6IWZZcaghlPPASfgK2kiSNkiRpqyRJW+Pj4y/xctcXkhKJHDwaOeJn5HLjkczti+28hbCjpY1BxLVGxN2AiGuLlv65W2WwjBFCIFIeh4wvQbsAOMF1CtLeQ6R/WKIxTWYjb856DkugGaPJPQOVc5zKva/1p2ZTd3rlwol/FXDe+UlLTOd4vhj1xbw34BMWT1mBPduBLcOG0+5ky+IdJbI3P6GRwdRqXIOhQ4eya9cu5k74k7urDudW6z10ttzGA8MfICA4gIAQK7LB96+m5tJIvpBCakIaM8fO572B45j00k9UqlORWx7sjjnAjJwjCWAJNBMaGcLbs1/wGMcaaOHLDR8w9M0BRNeqQFiFULoM7MBXm8bQrEsjXp/+DF0HdsBodvf3NFmM1GlZky/Wf0Bg6L/hl1enPUVU1QiswRbAvThqtproPeImOvW74ZI/Nx3flFhOVpKk24HbhBCPS5LUDXhBCHG7v3N0OdniI1znAQ3k6BI4b+EOwzh34Q7D5GIBcxfksK9K01TP6zu2IJJHgvCmy2FGilqKpJSs/D7uVDzzJyzl8NZjVKgeyR2P30L9fJkgw+s/xVkf8e7A0ADeX/CK184tJ/bEMLr9a14VCWVFRtO0Es3EzVYTb81+gRtudYcePh7+FWtmbyzwkLEEmuk1rCsd+rZl2dS/WTt3s9fwhCXQzGOfDWfic1PRXBr2bAeKUUFRFEaNvY8G7eqx9IeVpCWk06J7U3rc1xlroKXAGDtX7WXm2PmcOXyO6NoVGPRCX1r3au7V9rSkdM4eOU+58iFE1/S+SKw6VdbN28L25bsJCg2gx31dqNWsbGsVridKXQ9ckqQxwP2AClhwx8B/F0L4XGHTHXjREfZNiLS3wXXWvUEOh+A3kK1FFx/SbP/P3nmHSVFlffi9VZ0nMEwgM+QkQUCCBBEUMSFGMLAqmF31M+e8hnXFNa26psU14mJWMGcUUXLOeUiTY+eq+/1RM8PMdHXTk5gB630en0cq3DrdM3PurXPP+Z3foPBKTJOmcRmaKPZeDWKv6fOLHgDfLMw9nguRdFujbcg+fdXLfDnze1NtE4fLzuw9r1RbRVbw4dNzefXOt6PGdRVFxMzQMEMogr8+PY0zrj0FgE1Lt3LDMfeYdvlxuOy8vOKfeJLcXNzjugjBKtWm0rF3O7J35JoKVjncDv69+PGIcElV/vf4x7z5t/erKS+6EpxMuXUSF94XW+TMommI5sDrHEKRUt4ppewgpewMnAd8H8t5H65IvQSp5cUd05XhzUjvh0j/10hpns8sg8uRBZeXl7GXS7jqe6DoZqT/h/ie4/8hhvMGCEPgp7jGqjthoi9X9fLztaM4r4T/3juLC7tdw9QuV/P89TPJ3ZUXcd2UWydhN8mOcHqcTLzyBFPnDWB32SvDD6ZW67JSsVC1KSS0cONJdmN3Rs8HkLrkrb+9j1ZeVPPz+78RitI5Xtd0fv3oD1q2TuHRL+4mKS0RT5IbV4ITp8dJYssEstbvjqo2qIU05r78TVRbcrLyeOOB2RGyuf6yAO8+9jG7N++Neq9F88PKA68jMrQePe88ZPbRyJxjkTnj0H1fRL9e96LnX4rMPQNZ8jdk0e3I7KPRfV9GXlv6BOaO148sefSAk4UMLkUWXh9ljAoEiMb98Qvn8SCiiUkJcI6u1XgF2UVcMfAWZj/xKXu3ZpO9PZc5L37N5QNuZtem6uGSdt3a8I9v7qVNl1aGwFULDw6Xg4lXjOeKJy6K+owRk4Yc+PstX4Hb7Dae+fURZu18iXNvP6PaZmBNQoEwK34y0v+CgVDUVbyu6ZUZNv1G9Wb27le4a9YNXPPMJQw7ZRC+Un/M4hwtrLF3a3bU8z/Nnh81PVDXdH5499eo91o0PxrkL1hK+eOB4t+HEzK8A5l/HoSWACEgCPpuKLod3fup+T1Fd5RrmwRAesv1RbxQdJuhvV2V4JLoD9d2gYxdli1Lnya28wZQwHncAa6pJ84xoHbG0FCpigucYxG27rUa7vX73qUwu6hav8hwSKOsyMu/rtmfCKXrOku+XcGa+euZ/tB5zPjufh6Zcyez977CVU9Oiylyld4ulSm3nRGXZG04FObTf39thDseOJceR8VQaBRQnGekDg47aRCuRJfpZQ63g6NOGFD5b5vdxvBTBjPy9KEs+Gxx1CYNlfe77PQY3CXq+bJib9TwUDikRUjjWjRvmr0WitTLyh2fBo6hB9axPhg2lT4fZWPOD6WPId0TEVVWt1LLgcD3mGubBJFlryJSnqxyTMWYGKJhR2r7kL45oOciHAPAOR5RUX4fOpAeiBPcExG2xpWEFUKF1LeQJY+WN5aQhrKieyoiqfY9Gb+f9QuayepT6pJlP67G7w1QnFvMLcc/WOno7U4bSLjv/Vvilpa9+IEpdO2fyduPfMDOdbsIBcyrP7Wwzt4t+3VEBow5gg2LNps2JA4Hw5WOdeBx/ejUpz1bVuyo5kwdLju9h/Wg19DIiW3D4i04XPaYOddgbLSecvn4qOf7juyNO9Fl2gzCneSq3NjdvHwbr9z+Fsu+X4kQgqEnDeKyf/wlZmzd4uDTrEMoetl/kdkjkEU3I4tuQ2aPRi95us45xA1G4EeiZk7qZUaqXFXCW0BEW9HpEKqhF+E6EaJV7dkHIf2fIXPGQ+lT4P0PsuguZM5xyPBO45qoYYtyEq9FJD8S+5oGQiiJKC0eRbReBMkPgdIOvK8is4ehFz2I1IviHsusgXLlc4Qg4Atyx4kPs29bDr4SP+FgGF+JH1+pnwfPnkFOVmSsPBrHnH00Ly6ZwePf3o8zymrc7jTS6gC2r83CXxYwrYS0O+0cOa4f7boZOjKKojDju/s57vxROFx2nB4nTreDCdPG8fCcO0yzjdyJrri6EE28cgKpbVpGPT94fH9adcqIaAih2lRatk5h+KmD2bB4MzeMvofFXy9HCxuNoBfMWcy1w+9k+9qsA9pgcfBotg5c+r+CkqcAv9FZXZYCASh7Del9u/Gfrxcitb3mhS8i1ouLTsSLjZoeoz8loFRXmhNJN4FIrjGOYnTV8VwIxY9gbG6Wr+hlGeg5yIIrjMnNfTaRYQsAAfYhKIlXIoSCDP6BXnAdeu5k9KKHkOHoudH1Rfo+guL7QNsI6IbNvtnIvLONt6w4qJomWJO0ti3ZsTaLnF35phWRWlhjzotf19ruI0b0JKNDmmljBEVVOOWK8bx06xtcM+R2Pn3hKyM+LYwJxZNk9AkdPL4/9/7vxmr3uhPd3DLzGj7IfY2Za57iw7zXuP6Fy3G6zSeL3sO7Y48RY6/go399HjMMoigK//zhAQYc2xeHa39+d7/RvXl63kOoqsoLN7wWIasrpcRX4jNUFi2aDc3XgZc8A5iFKXxQ9kKjrcJlaAN63rnI7FHInPHI7BHoJc9XL3xxnQpE+WNS24Ba/TVT2LqB2hHMKgiFG5FQfVNNqG0R6Z+AezKIFMOZu05FpH0EwZ8wD8XoRhw+vBqRcEW5DVXjrHYQiYgWDxlXFz+OzL8cAl9DeDn4ZiFzT0M2QmaKlAEoeYzIuHwItGyk74O4xrnk0QtwuiMnJqfHwWWPTSVr/e6oTY9DgTCbl22rneEYjvixr+6hTZdWuBNd2Bw23Iku3Iku7v/gFjYt2cqcF78m4AvuT1mURrphu+5t+M+ap3n4sztxJ7pNx3d5nLTKzMBxABVFVVW5/Y3rDujEdU3n14//iHlNi/Rk/vH1vby2/ln+9sntvLbuGZ74/gFatk4h6A+ydsHGqPf+MXdxzLFrS0F2EdtW78QXQ2HSIjrNNwaubYl+Ti8CWVK+Sm04ZHgnMm8K4K1yMAhlzyC9LyOT/obiOR2RcCXSPwf0QqqnwrmilrqLls8i884zxsOH4cydYB+JtI+IcO1CbYNo8SC0eLCGjZuJXviqgrYTYe8HaR8ive+C70MgCM7jEQnTEGobZGgFeN+m+gQZBsLIwhuh1QKEiE+WVYY2IL3vGGEj+xEIzwUItR0yuARZNhO0bYYwV9QSfj/4PoGE6JkhFRx5bF/umnUDz1z9Mt5iH0IR2Gwql8+4kLHnjmLhV8uiNiVWbQptuppramua0b3e6XaYNiFo1TGd19Y9w7LvV7Ft1U5SWrdg5OlDcXmcXD/qbtMmEJqms31tVszMlNoy9MSB3PDvK3jikugLGKnLmA2Nq9KqYzqtOlbXKtF1GXNxpOsSb6kPT5QJKV5ysvJ4fNpzrP51PXaHDS2scfJlx3PlExdFaLxYRKf5flMiwXDS5icNYacGRpb8nWrOu9pJHxTfi1Q8CNcJkPYJsvRf4J9rOGXHEETiDQiHeTWbsHWDjO+M1WbgJyMurudC8DfIGYXummA4fyWGQpxeWDEa5vnVGqhGv0uhJCASL4XESyPH8f6P6pWZNQj8BC7zgiGp5yO9syG4yMiGCa0xnosGwT+QZW8g3RPBNxdjxR3Pm1L8+iwjJw3l6IlHsX1NFrqm07lvx0odjsHj++N0O0070Kh2G6ddfWLE8S/+8x0z734HX2kAXdPo3C+Tm165iu4Dq2dyKIrC4PEDGDx+QLXj+7ZHl4ewO2zkZOXHjEnXlqMnHoViU0w3c8EI6xwxomedx3d5nCS1TKzW47Pm+As/X8qxU0bW+Rm+Mj/XjbiLgr2FRtpk+cbsF69+R2FOMXe/c0PU+757ax4Lv1xKQgsPJ04bV94XtPbaQIcLzTaEgnsy5nFcG7gmxL1CjBcpZXmmSCz8yJLHARBqBkqLv6G0XozSZiVK6mtRnXcFQklGeC4CPQf0PIxVrxcIgP8rZMGl0VdW/u+R2WPKHabZNYrRiNgWvdWZDO9Alr0BwaVEdZpSK3+zMDkVWlO+efoCBH8ubywRZH/z4yDGivp9jNV9nGEuW+2qQRVFoUu/TLod2bmaiJKqqjwy9zYSU9yVmt42u4rDZefKJy6iU58O1caZ89LXPH/9axRmFxPwBggFwmxcvIWbxtwXkVcejfY92kY9FwqEG1yNLzktiXHnRneeqW1TYtoUD5l9omeaqHa13qmG3701j7LCsoi9ioAvyPyP/2DP1n0R92TvyGFaz//jpVteZ/4nC/n2zZ+457S/8+jUZwx5gz8pzdaBi8RrwdYZRNVXNTcorRHJ99R6PKkXI70fIMteMwpdajrKcDTHWAMtC6lHWaXHQ+Bn0HYTmSYYhPBaCEWKJkktG1l4A8aK1iz+7QacEN5jiFUV3ooM78+EkVJHL7oLmXuqMQFpm2IYKMHeN+L5esnTyLzJ5ZvJDRyvDG+t9xAyuBA992y6tz+N99cs5OWfSznnhn5MvvV0Xl31FJNqrL61sMbMu2dFVCSC4UjeeTS+RgTn3X5GRAMIMFbfw04eREpGw6e93vjK1Qw/dbDpyrMkv5Tz2l/BvA8W1Hn8MeUCVmYoQtB7eC0bZNdgwZzovUcVm8rKn9dGHH906jMUZhdV3ielUT264LNFfP/OL/Wy51Cm+TpwJRGR9gEi+X6wHw32oZB0OyJ9DkKJLbdZE937gbEpWfwQsuSfyIJpyLxzqqew6UVE3ZisblmMdmcHRgZ+LW8QbHoSgr9HHva9T8y4NwGMFW+pEdbwf4rMOwMZ3oKUOqGcqyja9z80LdoEUIEd7L2rNSyWoZXI3BOh7BVi56bXA71+ov8yMB+ZfymEVwISgUabdmu5/PZPmP7AKNp2jRRg2rl+d9Q2abqms/CL+NrWDT1pEOffcQZ2lx2705CGdSW66DIgk1tf+2t9PlZUHE47D392J29ueZ6UVtUniIA3SMAX5B8X/6vOZfETLh6LO9EZMUHYnXZ6DetOtyM719V0gKhFTGBsGtfcqM7JymPj4i2m2UX+sgAfPP3n7SXTfGPggBBOcJ+FcJ9V5zFkaCUUP0i1mK8EwuuQhTciUmcax+y94xhNAeeY/QUzdUFxYzhdsximrcYbRznhTUR3vGbjSAL+Yt579RIef3YNa9blYLdBKAx9ezm49ZqWTD4tEaezxvxtG4houb//opQSWXBt9AmnoVDrp1onix8k8q1AgvQiS59FpDwRcY/DZY/56l2hbbL0+5V8+PRc9m7Npkv/TM65+TR6HlU9nXHqPedwwsVjmff+AnylfvqP6cOAMY0fm83fWxi1P6gW0vjk+S+5+slptR43IdnD0788zIPn/JN927JRbSqhQIjBJxzJHW9eV0+r4cSLx/L7nMWmq3A9rDG0XLGxgoJ9hdgctqh1AAV7zUN+fwaatQNvCGTpq0Tr7k5wIVLbjVDbIZRUpOtU8H+O+QafzUjDS6p9+KYqwjURWfY65o5XgOtEpAyCng9KCkK4wNYdcEaxK5I/lvo59YJdBENbKC0zwkLB8t/9VeuCXHNHNjfem8Pns9ozdGD5akh4EEnXVq90Da0AGX+hTZ0QbkTiZXW+XWo5+xUbI9Cj7mu07dqatLappqtUu9POCReP5bV7Z/Hh03MrHc32tVnM/3Qh1z13GSdOG1ftnlYd0zn7xoOrJpG1YXfUSSIc0tiyvO55/R17tefVlU+ybfVO8vcU0LF3ezI6pNV5vKocNeFIjhzbl2U/rK4WwnJ6nFz15MV4kqovYtp1a2PagamCLv0zG8SuQ5FmG0JpMMIbiBp+EA4Ib9v/zxYPgeskjM3TBIz5TQGRDp6LjPCNrYP5WHEi7L3AfRZG3LoqbkiYjiybidw3FJkzAblvKHrRneA8lXh/VAuX+Tn+7CzyC/VK512T0jJJfqHO8WdnsXBZxQpOIeJ70vPjfq75hvOBsIPnEoRzbB3urR9CCG569SqcHkc1J2h32khtk8KwkwbywZNzqq0SpS4JeIM8+9dXKSmIbIl2sGndKcO0tACMbJEOPeu3mQnQuW9HBo8f0GDOG4xN6Ac/uo0rn7iIjr3bk5yWxIBjj+ChT29n4hWR2U+JKQmMO2+UaUqm0+PggrvObjDbDjUO+xU4ajvQNpufkyFQ98dHhXAgUmYgtdsgvNrIM7cPrKZr0hCI5PvBMQRZ9ipoe8CWaeSWe98t132p8lrs+wxC6yHlaSi8oTyD0GeUy0ujR2IFgYDOKefvwuuLL/ujzCs55fxdZC3rgtMZBvvA6hfYe8euIMVmTIK2waCtM9Ii40ZAi6drpW9uOoqagVTbg2a2ERpbsOvIY/vy9C8P88b9s1nx8xocLjvjLzyW8+44g3cf+5hQMIomuCr45cPfOfnS4+tle33pN7o3SS0T8Zf6I+qX7A4bp197ctMYFgeqTeW0qyZw2lUT4rr+/56/jOLcEpZ8uwKhKCiqQAvr/PXp6aaNOf4sHPYOXCRMR4YWmYhPKWDrYuRn17xHzQB1bIPZILU9hqNWOyLUDGPF556IcO9/5ZahVZHOG4AgaFuMuHureeCfi9T2ImzdkHoelPyDipXze5+VEgzVrkI1GJK8P8fH1ItvjchBF2pbpPMYCMwjMnxjB3s/I60xtIDaa3tL8M6EejpwMCZEWXAV1b87YYSFEv8v5r3dB3bhb5/cXu3Yku9WMvflb9A18+8yHAxTWtD0qn2KovDo53dx07H3E/QH8ZcFsDtsCEVw1VPT6Ny3Y1Ob2GA43U4e+vQOdq7fxcp563Anuhh2yqC4BcoOV+rckacuNFVHHr14BnjfxIiF68bqVXgQqf9D2Brvl1xqOcjCm4x8aeEwskwcoxApMxBK9SpSWfoysvQpzGPjgPsilBb74+/S/60xdhWnNWDsdlavjy03aka/3i5WrPGaxlOl7jWqM4Pzq2jA2ME1CXzvYS53EC8KovXK+m0KV9gZXIgs+Ue5MJgCjjGI5DsQtujSqmas+nUdd5z4kGm3nApcCc6Yne0PNn5vgB//N5/1f2wkvX0qJ1x0LK0yM5raLIsGJFpHnsN+BQ6gJN+KdE9C+j4EPR/hGAHuU4wNwkZCypChGa7tBjTDeQMEf0HmXwxpH1Z3mMJG9OwUpVrqotRLkYU3U9V5a5pkzYbaO2+A1ev9aJofmy0yA0YoHkTqS0ZeeWgVKC3AMRyZewL1c94GUmKEP2QpqN0QSt1WVMIxFJH2frlmjVLnsNcrt70Z03nb7Crtu7eldecMfGX+iF6TTYHL4+Sk6eM4afq4A19scVjxp3DgYGweCvudpuek1JDeD8D3urFxZ+uNSPwrwjG07g8MfF++CVjTIYcMhxVaBFXHd44vV180wwG2TsjQerD1BP/X1Ny9Ki3Tsdv2Z5vUBpsNSvO+IKV19HRNYcsE2/7dfqlFVsvVGrU35J1qNG4WNpBhpOciRNJNdXbAIqZSZGyklKz9PbqQE0Bau1T2bNnH9F7Xo2s6Q08exA0vXmGqoWJh0dgc/lkoB0BKHVl4LZQ8AuGNRol78Fdk/qXo3vhU8kzHDSyIUbDjN7REqiBsmeA5l8jsFBUIQskMZP4UZO4JyPBKaqZGJiYohGrfYhKAcBgS3bVMF1QaoERc22KIXVVIBuMH75vIkn/Wf+w6UrU0vyZCCAqyi/CW+Aj4goSCYX6fu4Rrh995yKnpSSnZXpbLltJ9aFGFxiyaO396B07wF0NQKiIc4IfiB+PWqo5AqannXRW7IdZVA5F0N6LF/aB2wcj79mCstHVD2Ev6DNU/7/vUrBpVVcERPeumD9O3lwvVGV1r25SES4mcbGoSo5BF6Yj5xqfPcOL6wU/TE0IwYtIQ86bG5YdqtjTTwhrFeSV8//a8g2Bhw/B77kZO/2kGF/76L6b/9m9O+v5RPstqWJlYi4PDn96BS9+HRm9KM4RqOPg6INynEd2BS3BFpngJIRDus1AyvkK0+gkj/GLm5DTDtho/vtuubUliQu2q/xITBLdd1wkco2p1n/D8BVzHYWiOV9jhAbUnOCeBcwIk/LX8fFWbVFDSKC+HjTK4DcLrKv8pQ+vRC25Azx6NnnMyetnrRrFTI3DF4xeSkJKAatv/3SqqgsPlwOE232z1lwXqpT1yMFlZuINblrzFXn8hfj2ETwtSFPIyY82nfLU7PvkAi+bDn96BE3OlJ6P0vjwwwtYdPH+helOFcpR2B9ZTCa0hujZL2Ojio3apzKhBJDD59K44HLVbhTscKpMv/tjoX1kLhFBRUp5CpL0LCVeC5zJE6iuI9M9QWj6B0vI5lKTrEWnvg/ME441DtAD3uYi0T8rfUKKhV7aFk4FfDY32wJegZxs5/SX/ROb/pVGceJvOrXhx6QxOnH4cSamJJLVM4Pipx3DljAtjhlfi6ZbTHPj3hq8J6JEbJX49xHMbvmr6doUWteJPs4kZFedYCC7ENKNCamA/qs5Di6QbDCEqWSM+qu9C5k+DtI/MU/dkGOn7DIgxuSipiNS3jXJ3bStSaYvTO5vP38nhuLM2x1XMk+Bx8cWXP+BKiEcHxhxhP6Ka+FXk+Z6Ils9FHJfuc6Hk75gqG4pksPUx9ieKbsM0vBVeD76PwTOlzrZHo1XHdG586UpufOnKymNlxV5euvVN0+tdCS4mXDS2QZ7tDQdYXrAdieTIlp1JsEXrpVo3VhbuiHquIFhGQbCMVGdigz7TovH406/AhfsMUBKI/Cpc4BxXvzxx/1eYK/iFjM27kHlOvCy8GfxfRB9XuBGe842Qi+NIhPsMI0gR/I6hAwXff9iB1BQlajglMTGB1NRUfvjxZ4YNOzry+VKiez9Bz5mAvrcP+r7h6CXPGq3RGgjhORvsvaj+hqICbkTKE8bEFl4VYyPYV96Y4uCQkOzh0kcviJCOdbgddDuyEyNPr0fGUjlvb/2FE79/lLuWz+Lu5e9y0veP8saWhm1xZ1eir9l0KXGo1pruUOKw/WkZUrE6QondDUUoiZD2HrLwFiPPWdiN8nH3WYjku+pnQ/D3GA4oCMFl1VMJARneVC7AFM1ZOsA+OCKGbqz0jZXq0IEuspZ14f05pTz+XAGr1wex2Yxsk769nNx20wSmXDQLp9N8dSdLn4WymVSufGUBlL2MDP6GdE82pGX1PaC0hoTLEO5zaq28J4QDUt82nLD3XSMLxTEMkXilEX4C0H0YTj0K0fYuGomzrj+Vtl1b88YDs9mxbhdJKQmc9tcJTL55UszwSjx8tXs5L238hoAeIlAlKeTVTd+T5kzi1PaDazXeioLtvL/jdzaX7sUuVPqlZHJGx6Gc2PZIPslaRFhWT28VQP+UjiTamj6v3SJ+DjsHLoPLDHnR8HpAINUOiOR7EM5jot4j1PaItFlILdvI3VY7GI69vigpRC/OsYOSFHk48CsxG0vYj0S0fCUy31kvqnaf06kw9exkpp6djKZJSst0EhMUVFWAUoASzXlreeXa3zXjy0Gj2USoSgqjthVKHkaGliBa/D26zVEQwoFIuBASLozyWY8o7yFqhg1i/EwbixGnDWHEaREFcfXmpY3f4I8Sm35547dxO3ApJU+uncPHOxcSqNKIe03xLj7OWsjJ7QaSYvdQFPISKnfiqlBwqXZu73t6w3wYi4PGYRVCkaE1RpVjeDVGhoNRNCMLrkEGDpxNItRWCHvvhnHelIdnom5E6uAyE/KJzC6pRngDsvBmozFxOVJKsPfHSD00GVEVtEhWDecNIGLEVYM/E7WcH50Ixy594JtrFBk1MEJJAs9UTNMVhRORMK3Bn9kUaFIny5cf9fxefxFBPb4k/4X5m/lk16JqzruCoB7m6z3L+WvPCVzQeTStXS1IdyYxqf16C92xAAAgAElEQVRRvD3y/+iaGNn4wqJ5c1itwI0CELOsET+y+BFERoy4ciMgbN2RCdOg7PUqdpV3o0+607yzkOs4KHks+qCyCAJfIQM/IJPuRNgykcX3g7aP+PTCneX9RqMMrxcR3YFHI4j0f2FI5WI0X5alL4DvUyPMobaBxGsRrom1rrAUSbchhcP4DoUKMmyIgqXMQKjtamln80RB4FRsBKI4abuiYovze5u9/Tf8WvRyXJ8W4qOsP/jP0VdzTa/IJs/NgV3efPICJWQmpJPiiN7ku7lRHPLx0Y4/mJezFqdqZ1L7IRzfph82pX7htVjU2YELIToCbwCtMd7dX5ZSPtNQhtWJYIxcXG07Ui+OEJFqbJSkm5CO4ciymaDtBFsPRMLlCMdA0+uF2g7pmQreWUTvPakb50oeRqIQb6MHcBrhIc950S9R6yKOr1dqvcjwDmTuGVTLoNG2QdFtSP+XkPJcrZy4EAoi6SZk4tVG70yRaFStHkYIITi53SDm7FoSEZu2CYUJbQegxPmd5fiLD3jNHl/z7GCT5c3jrmWz2FqajU2xEdLDjG3dl3v6nYlLbdgm5g3Nbm8B0xe8gDccrEzTXFW4k/d3LOD5YZfiiLF5XB/qM2oYuFlKuUQIkQQsFkJ8I6Vc00C21QGV2H0bG28mjIVwjkI4a1Eok3g7+OZEph9GECbuzu9gNKVIvDpCNrYqwt6/fFKoRXm18CCcYwCQhbdhnv6oQ+AnCPwArtrraAvhNmLihynX9DyRRfmbyfWXVMbCXYqdVGci/9frFMAItby3/TdmbZ9PfqCUdu6WTO82lhPbHlm5idy3RQfWF+9Gj/F70Tmh+SkVlob9XLrgRQqDXiSy8m3kx32rKQ35eHrItKY18AD8beX7FAW91b53nxZkXfFuZm//jb90aZz9mjo7cCnlHmBP+f+XCCHWAu2BpnPgrvHlLdFMnI+9f0zH1ZwQ4cVIWRLHlbVw3iIB4TnzgPF9oWYg7aMg9IvJ+ALjV6bqJOkAtTs4jkZquRBeQXRCSO+7iDo48MOdFg4Pb4/8Pz7fvYQvdy9HIjmx7ZGc2n4wHpsTKSV3Ln2HBbkbKx381rJsHl39EZtK9nJtr5MAOK/zKObsWmK6IQrGpHBx12NrZduaoixe3fQ9qwp3kGBzcXbmcCZnHo1Tbbjipc93LcEXDiJr/M4F9TCL87ewrTSbzomtDjhOWNfw6yES1MimzI1FQbCUVUU7TCfNgB7i/R0Lmp8Dr4oQojMwCIhoqS6EuAK4AiAzs3FffUXijcjAz+XCSBVOXBh508n3Neqza4OUQfB/jvQZ3bSFeyK4TkEIBzK4FFnwf0QPn9T1oWFQ2sR1qWg5A5n3l3IpXC/Gm4sN3FOBUvB9AkIBqRuyvEn3IYRAyiIOuC8um+fre3PAbXNwdubRnJ0ZmZu/onAHv+dtinDMfi3Eu9vnM7nTCFq7WpCZkM4/Bk3lzmXv4NdClU5FILArCpf3OJ7h6T3itmle9jruXjaLgB5CAoUhLy9u/IZv967k5eFXNFho4PfcyM9WgUCwvHBHTAeeFyjhybVz+XHfaiSSlo4ELu8+ntM7DGl0R14c8qOKaNlmUBKqv+xyNOr97QshEoEPgBuklBEBOCnly8DLYDR0qO/zYtpi6whpHyNLn4HAN4aDcY5CJN6IsPdszEfHjdRLkfnnGo14y/OYZWgRlL2CTHoUCqbREDrb1XGC+7S4s2uEkgrpcyA4Dxn4HZREYwOyPPYsk+8GLc+oBq2i3y2lTuy3AlFrzRULg6/3LI+6OSmAn/etYXKnEQCMyOjJN8ffw285G1hdlIVfC9LBk8a4Nv1Id5qkrkZBkzp/W/l+hGMN6mHWFe3i/e2/cUEDrSyT7G6jW6DJOUUoMStSS8N+pv32ArmBkkplxZxACU+um0NBsJTp3RpXJ72tOyWWbBu9khtvs71eDlwYrVQ+AN6WUn7YMCbVD2HrgEiZ0dRmREWW/BPC26mWjie9xrGim4l/Q/JAVLzequAYHPUNxNATkYgaqYVCKOA8FuGMfN0Wwg1VmjsbnYeug9BqYioQChfCM7WWn8MCIKhrEeGFCnRkZU53BXbFxpjWRzCmdd33DVYV7iSkm68qdSTPb/iayZ1GxKzujJdJHY7i+32rTCcpXeqMSu8V9d5Pdy6iMOiNkMX1ayFmbv6RKZ1GNrgkQVUcio3zOo3inW2/REx2LsXOZd0bL2RYnywUAfwHWCulfLLhTDp8kVKC70Mii2QwjunRdSoMHIY2S3hF9ArPiusA3OchPGeZapXI0Epk8SNGuzdA2vsZcraOQfF8lP3jSA2ZP9XIsImVfijSEamvGv1GLQ7Ibm8Bs3fMZ3VhFm3dKfRIbotbdeDTIn93FBSGp8UfFomXgBaKOmkAhKXGD/tWM6HtkfV+1qCWXRjXui8/7FtdzYnbhMqJbY+kJOzDbTPPRPl270pTgS4Am6KwvGAbIzOiTwANwRU9jqck7OOTrEXYy9MGpYTbj5jE4NTatfWrDfWZOkcBFwIrhRAVOpR3SSk/r79Zhysh6h7bViDleYTaymjVFpPyP3L/p5B8e8RZGVptxLirhmpCK4wiqNQ3oqY4mj9qHug5mDtvB7hOMbJf7H0P2qbSoc6C3I3ctvQtwrpOWGosL9zOV3uWIxCoQqBVUQx0KnaGp3enW1LDF+Ec0aJDzAIiiRG7bggHLoTggf6TGZ3Rm1nbfmVraTZeLYgqBF/tXc4Xe5ZxZoeh3NRnYsTv0YF+r+JNwawPilC49YhJXNb9OJYX7MCp2DgqrWujpQ9WPreuN0opf5FSCinlACnlwPL/LOcdAyEcsTcSRSKVq+ea2LqjuI5F2PuA0oH4fnQhMKlAlSX/IGrBU8mjcYxbZazgshhvA0FQ0lAc/SznHScBLVS5AVk1J1xihC30cudtEyoORWVSh6P4+8DzG8WWRLuLIaldo54X5dfUhsJgGfOy1/J77saIyUEIwaDULqQ5k/Drocp0Qr8WIqiH+SRrEf/bPj9izFPaDcSlmGfE6FIysGXnWtlYH1o6Ehnb+ghGZPRsdOcNh1kl5iFB4rVQ/DCRDtQNCTeA77+gZbM/zKIYsePkRyqvFC3/bazCpTe2oJPUQK/eu1JKCcE/ot8TWoGUQWOyiQOhtEDiwDwsZC/Xg7EAY7Ptj9xNhHSNwaldyHBFFpXNz91ALEluWeX/bMLGnF1LGNiyMye0HdAYJnN//8lM/PEx0xQ5h2Ln1HbRQ2661Fmav428YAldE1vz8c6FfJy1EHsV7fk7+p7Bie2MFfx3e1bywMr3olak+vUQ/93yE+d2Glm5IJBS4tdChEzucSl2rut5Eq4GTHdsblgO/CAj3OcgtV1Q9p/yTvQYKX4J0w1hJ88ZyLLX9sfKHSONBsu2/S3PhC0TMn4A/xfIsv+Wd68xyX0XClQo+1U/0XAfyHUKlETbAlHKOxNZzN7+G/9a/0V5upkkLHVOaTeI2/uejlrlFb8o6EWPo0dlWOqEy+PhD638gA6eNPq0aN/gdqe7kri+9ym8sP6ravoqLtXOxPZH0c6TylNr5/LZrsX4tCBdElpxdc8TSHMmcfOSN/GFgwioTGmUSIJVOjE9supDWrmSae9J5YGV70d13hUUBssI6uHKHPQZaz9jTtZitBoTjEux8+CAyYxr06/hvoxmiOXADzJCCKPRQ8LFEPjNOOgcsV/2ViQjkq6HpOsPMI4T3GeAYxQyd7xJ5yDFCNfUaEghhEA6Rpa3ijNZ6tmPinv1DSDU1sikW6DknxgZNBJjgnBB4nWHjV5Jffglex3Prf+y3Dntd1Bf7l5GujOJK3qMrzzWM7ltrefXgB7m9S0/8digC2p1X5Y3j2/2rMQbDjA4tQvD07ubxovP7zyKHklt+O+Wn9hWlk1rVwumdj6GEek9mfbb82R58yuzYDaV7uWuZbPQZWRmjBl+PcQrm77nqNQuMTdMK3AotspNwt3eAj7NWmQapxdC4G7EzJPmguXAmwihtAT3KfUfR82AlJeRhVdjtIALG6JPSitE6mumsWeRdDsyf3G506/6R+Oukwa6knAx0j4AWfYfCG8BW2dEwiUIR8PLrh6KvLrpu6hSsbO2/8r0bmMrU/H6JLenc0IGm0r2Eo6zW7xEsr54d1zXlob8fL57CR/tXMjW0mwEAg2d93b8Rlt3S/497HJSHJ6I+4akdWNI2v63QF3qvLttPnt8hRGO+kCr6JqsL95FhivpgIqLDkXltA5HVU4y83PXR53rfFqQ7/au5OhaFC3Fi5SSLaXZ+LQg3ZNaN6lOi+XAD2GkthfCG40mwRm/IYI/GvFzW0+jOUKUjUNh7wmp7xmbmcFfjYOOoxFJt8ZsjxYL4RiEcES2TrOALWXZUc9pUicvUEobt7FXIITg2SHTuXnJm6wtyorbiafF0QZtbdEurln4H4J6uIqzNCZwrxZkc+k+zv75n/xj0AXVnHVNe1/b/AOztv1KadhfGzGHqCTa3XRLbBNTkdGh2OiSmMHkzKP5avdyOnhS0fXY301Aq91EEg/LC7Zz/4rZFATLUIRA03Wmdh7N5T2OPyjZLjWxHPghiNTLjF6RgZ9BODCaHLeGlH8hXPFJhAp7D0Tqq5VNbK0skcYj2e7BrxWZntOkXi2Tw6+F+D13E2Na9eH41v1YVrCN+TnrsSkqPi1o6jBdqp1zO42MaYMmdW5Y/F9Kw7HTWEvCPm5c/Dr39jubCe0i0wP/tvJ9fti7OmrZe21xKjbOyRzOxPaDeXXzd6bXOITKbb0n8frWn5jyy9OVx12KnXAMJ/7t3pUoQnBH39MbZJW8vTSH6xbNjCg2envbLwghqoXCDhaWAz8EkYXXlWeSBCtlXNG2IfMvgIxvD9hGriqW464f28tyWVe0ixYOD0NSu5pqP0/ueDSvbv4uYnWpCoWj03pUtjFbVrCNGxe/jpSSgGZs1DlVGy8Nv4KQ1CgIlPHo6o8IaCH8eshQllftjGvVl/Ft+se084/cTXGvSAN6mMfWfMJxNbSsd5Tl8u2uFfi8XlSXA6HWb8XpVu10T2rLlMwROFU7/xx8EbcueROJkU7pUu24VAfPDb2Ea/74DwWh6umqFZOIHZWQSR1CWGp8u3cl2f4iXhh2Wb1sBXhty4+mlal+PcRb2+ZxUdcxBz2cYjnwQwwZ3gLBhZim7ckQ0jsbkXhl5DmLBqUsHOD2pW+zvGAbqlANnUZF4e8DI8MP53cZxa+561lfvLuyktKl2Gnh8HBnvzMBQ/DohkX/xVul0tKrBfBqAW5a8gZzx96BTVEZmtaNz3Yt5vfcjSTbPUzqcBRHpXY94ES8z1+EXguJYF1KVhbuYFBqFwKBAO+99x53PXQ/OzduQagKUtNxZ2bQZsrRpI7ujeKI7UrsQkURghPbHsmW0mxcqp1JHYYwvk3/ykliaFo3vhh3Fz/sW022v4hOCekc06oPP2evjXDeVWnjSSEvUFLtu6sgqIdZVbSTdUW76F3PLJ3F+VsiyvUrUFHYUprNES06mJ5vLCwHfqgRWlHemcbspB+CvwGWA29s7lo2i6X5W8s38MpXthrctOQNZo26nvae/d2WHIqNF4ZeyrycdXyy8w+yvAWkO5MY06pPZQHK57uWVhbp1CSghfgpew3Jdg87y3LpktiKKZ1GVEs/PBCdEtIRtUhv8WoBHljxHqcHu3Lr+VcSDAYpLTV03mXYcGK+7Tlsf+5Ldrz4DT0fOpfEXpEZR07FRu/k9vRL6ciUTiNo6zbeDvf4Cnhl03fMWPMZIBmV0ZsrehxPB08ap7Svnlv+/d5VMW3NC5Qyvk1/Pt212PS8pussKdhabwfuibG61qROgnrws14sB36oIVoQvQpTgFmbNosGZZc3n8X5W0zT5DRd53/b53NTn4nVjtsUFbtQWZK/DYlkhzeXNcVZvLzpW54eMo1NpfuixpX9WohHVn2ELnV0KVGEgsfm4Nkh0+meFJ9E8MCWnclwJpPlzYvZ7KEqG5ev4fI77kH3R493674QEGL97e/Q6x8XRDhxRSjc0feMaqX+u7z5XDT/ObzhQGX+9td7ljMvZy0zj76aLjVkY5NsJj1RqxDQQzhUOwJhmoqoCCVqpWZtOKPjMF7Y8LWp7korVzKZCekRx/1aEIFoUO30qhxWTY3/FMTq7CNcCPe5B8+WPykbSvZUqyasSkhqrCiMFCUrCJZy17JZ+PVQZSzcr4XwakFuXPw6bVwtcEYpvdaRlIb9eLUgfj2EVwuQGyjhqj9ewW8SNjBjW1kOHT2pcWeN6MEwG+79X0znXe36QMi4Plg9zq5LndVFOykL71fZfHb9F5RWcd5gfEZvOMBT6+ZGjH1Op+GxHy4NOdpo359Ecmw9VBkrOKvjMLokZlSbDFQU3KqDBwZMqRbGWl6wnYvmP8/Ybx9k7LcPctmCF1lbtKveNtTEcuCHGEI4EC3+Cbio1iJOuME1ERzDmsq0Pw2pjsSYRScZJprbc3ctjXqPlJJku5vaVvCEdI1v96w84HVri3Yx7bcXmJ+7Ma5iGYD8X9Yhw7Vrbi3DGgW/rKt2LKCHeWrdXE76/lGeX/8Vmq7x8741pnZIYGHeZsI1Ngq7JbVhcMvoin4aOotyNzO+7YCIsnmXaufy7seTVgsd9Gg4VTuvDL+Sa3qeSLfE1rR1pTCxw1G8NfI6+qV0rLxuWcE2rls4k3XFu9ClRJM6Kwp3cOUfL7Mhznz9eLFCKIcgwjUO0j80CmeCK0BthfBcBM6xzT6rRIZWIr0fgyxFOEeD68RaVX42B/qndCTB5jLdNHOrdiZnjog4nlWWF13jQwtREvbz0IAp3LtitlFuroeNNDmpRzQ6rsCnBVlfvJuJHGV6voK/r/7YVIY2FntnLygPj8SP7guxZ/YC0o6rXr5esfr+3/b5eLVARNl7VWS5w7PV6F97cddjWbVkJ0Fp/h0G9BD39juLYWndeGvrPHICxWQmpDO969gGlZJ1qnbO7TyScztHT9t8au1c88ItLcS/1n/Fv4ZObzB7LAd+iCJs3REt/t7UZsSNlBJZfI/RrJkAoCMDX0Hpk5A6+5DSCVeEwuODpnLNwpmEpUZQD1em9J3SbjBDTYpguia2wqXYTf+wXaqDzIR0xrbpy0ctb2FO1mKyvPl0S2qNRPLixm9MGx04FRut3C1i2loYLGNT8Z5afT6p6fh25NTqngp8O3JA08EkxdCvh/hwZwwhNaCNu4VpvLh/SiYiSsseh2JjTKs+CCE4qd1ATmpXCznkBsavhVhfEn2VvSh/M1LKBltoWQ7c4uDg/7zceVfRbJFe0ALIolsQqa83mWl1oW9KR94fcxMf7FjA0vxtpDkTOavjcAandjH94zy5/SCe3/i16Vh2ReXYVn0ASHcmMa3b2MpzJSEf/97wjel9utRZlLeZH/au5siWnTi308jKis4Kgno47k3LCjR/0EgVDMefdliBUBXC/iC2BHOZ2WhpeJXndXNbE+0uzu88ine3z682mQkEbtXB5E6RfUSbAgHl2T7mn6Oh348tB25xUJDemZhrkGsQXILUshHqgbuONyfSnUlc2eOEuK5Nsrt56qiLuWnxG0gkfi2IW3VgV2w8P/SSqG3Jkuxu7u53Jg+t/ABd6mhIVBRD10/Cb7kbAVhdtJPZ23/j2SHTOSptv4Z3treo1g5cdTmQWu2dNxird9VV95DYvkAR2b4iUpwJlXrautRRhMLVPSbgUZ28sfVnNKkT1jX6pXTk3v5n09IRX7/Xxsap2unbooPpRrZAMCK9Z4OGOYWMJT7cwAwZMkQuWrTooD3PovmgZ48q79xjgkhEpL6JsPc9uEY1AX4tyPd7V7PHX0CmJ51WrhZ8uXsZxSEvw9J7cGLbAdWq+Z5d9zmzts9HQRhyrFKS5kwkP1CGZlKYYxcqP55wP3bFxrbSbM775ZlaO3CAVVe9im977cMo7k4Z9HsxetVjguqkTIvd97Uiw6dzYgb7/EUUh3ykOhKZ2nk0F3QZjZSSvf5CEm0uUhwJtbaxsVlbtIsr/3jZ5E3Bzn9H/JXOibVfqAghFkspI9ThrCwUi4ODqS55OTIEasNrWTdHXKqDU9oP4pKu41hasI3rFs3kw51/8M3elTy5dg5n/PQEu7z5eMMBLvjlWd7a9gua1AlJDU3q6EjyAqWmzhuMNMa3ts4D4Ol1nx/QeduiFAO1mXI0irt2K2nF7aDtFPNQhl2oJNic3Nf/7AMWIIWkRkhqbCzZS3HIeGvLD5byyqbvuH/FbGyKSgdPWrN03gB9WrTn1eFXMjytB6pQsAmF0Rm96uy8Y2GFUCwOCiLhSmRwKZE9QR3gOgHxJ+vcMy9nHXN3Lam2SvNpQQJaiLuWzaK9pyWbS/ea3nsgp/zjvjVM7zaORflbDmjH6IxeLMjdFLG5mjq6N1kvfluL4nsQNoWWo3tXO+ZRHbRytWBURi/O6zyK1q4WzFD+ws1L3qj1e4FfD/HD3tWs6ZTFESkHt2S9tvRMbse/hk5vdLE4awVucVAQzpGQdBPgMHLWsQNusA9CJD/cxNYdfN7ZOs80tU9Hsrl0Hz/tW1tnqdYtpfs4/cfHTduM1eTefufQp0WHiOIUj9vNax/NwhZnPFtx2un50LnVNFFcqp1bjpjE7GNu5Prep9DaZWTMLC/YXud+kSGpcfnvLzEve22d7j/YCCEaNbXXWoFbHDSUhGlI9yTwf2tkoDiG/ini3mbs8xdHPacKBSkkIa12hTQVBPQwe/yFB7zOqdhIcrh5fuglzN29lA92/E5p2M+Q1K78pcsxZCak0/LruZx+6mnoYc00L1xxO3DY7fR66DwcPfeHBxyKjU4J6Uyo0aszrGu8t+O3Wjd9qEpIaty97F1eG/HXaiX6f0YsB25xUBFKKnimNLUZTU6PpDbs9hWYViTWrEQ0I9nmpjhsltUTPxXd2m2KyukdhnB6h8gOSkq3dIa/cxN7fl7JntkL8O3I2a9G2CmDtpOPpu2Y/gxq3Z2SkJdNpftIsDk5s8NQLu46NmKlXRjyHjCVMB5CUuPtbfO4r/859R7rUMZy4BYWTcBFXY9lQe7GiNizQ6iMyOhJQbCMlYU7TMMoKY4E3hhxDS9t/Iav96xAFQoBPVSrkItD2OJKgfx811KCNknacf1IO64fUtPR/MFqeuBBJEsLtvLhmJtp5YpdWJRkczVIFx9N6qwu3NkAIx3aWDFwC4smoF9KR249YhJOxYZHdeBQbLhUO31TOvLAgCk8fOR5pDuTqsWmFQSDWnbm0zG30sadwv0DJjN33J08O3Q6bV3RN4HtwlBC9KgO3Iqdlo4E/j7ogmr6HdGoqbgoVAVbgiuimYMqFJbkbz3geE7VzoS2A0zFwOxCJcWegE2opNoT6J0UuyF2ujP5gM873LFW4BYWTcRpHY5iXOu+/Jy9lrKwn/4pmZWa1Qk2Jx+MuYVv96xgQe5GkuxuTm0/OMLppjg8DHR0ZmSrXny8c6FpD01FCD4ccwtZ3jycqp1eye3i1hIf36Yfq4t2mpbyV0UgKrvFH4ib+kxkffFuI11SCyIw0isHt+zCjMF/qWzwIKVk8rwn2eHNixjDrTpi6pE0FwqDZXy5exl7/YV0T2zD+Lb9G7Rrj1XIY2FxGLDLm88Fvz4bkdniUuyc1XEYN/Q5tU7jesMBzvvlGXIDxTEbLDsVG18cd1dle7gDEdY15udu4Md9a3AIlQntBjCoZaQMweaSfVzx+8uE9HC1NnIT2hzJ3f3ObNbibT/uXc29K2YDkoAexq06sAmVfw+7lJ7Jsd8uahKtkKdeDlwIcRLwDIau6atSysdiXW85cAuLxmN14U7uWzGbnEAxqlAI6zrnZA7n2l4n1ap7T03yAiU8vuZT5u1bS9gkM9wpbFzX+2SmdIpUYWwIioJePslaxB95m0h1JHBGx6Gmzr45sc9fxDk/P2na/KGlI6GyRV68NLgDF0KowAbgBCALWAicL6VcE+0ey4FbWDQuUkq2leVQGvbTNbE1CbaGa/P107413L38XYI1UgATVCezj7mRDJcVk67g5Y3f8vrWn0ybIHtUJw8dOYVjygXM4qExSumHAZuklFuklEHgXeD0eoxnYfGnJtdfzAc7fufdbb+yucS8CvNACCHoktiK/imZtXbeUhoiW2ZpflJKnlw7J8J5g6HF/d8tP9bJ3sOVbWU5ps4bICw1dnsLGuQ59dnEbA9UzePJAiJ6HwkhrgCuAMjMzKzH4ywsDl9e2fQtr2/5GQWBho6CwtC0rjw2aGqdqhYX523hpU3fsL54Dx7VwRkdh3JRl2Nx28w30D7LWsTLm74zwi8oHN+mPzf2OaVS5W+3r4CCoHln+LDU+W7vKm49YlKt7Txc6ZrYCodiM53wbEKt1vS6PjR6GqGU8mUp5RAp5ZCMjENHtN/C4mDxw95VvLl1HsHyjbqQrhHQQyzM28LT6z6Pe5zikI/XN//EmT89wV8X/odlBdvxaUHygqW8uXUel/7+IgGTbJLXN//IjLWfsc9fhC4lIanx7d4VXDz/hcpuOvoBQq3xtmr7s3B6h6EoUdS/3aqdERk9G+Q59XHgu4CqOU0dyo9ZWFjUgpmbfzRN0wvoIT7LWhxxLqSH+Wr3cu5Z9i6PrPqQxXlb2OMtYMq8p3hl03fs8uVHONSgHibLm8fnu5ZWO14WDvDq5h8inhGWOoXBMuZkLQaggyeVJLt5d3gVhTGt6t80+HAiw5XMowPPx6XYK3P5PaqDFLuH54ZeUq9N5arUJ4SyEOghhOiC4bjPAy5oEKssLP5EZJnkOVegCEFeoKTylbswWMalC14kL1BSmUP99Z4VuFQ7RUFvTKVCvxbis12LOTNzf+PrFQXbsSkKAZMMQb8e4qs9yzm380iEENzSZyL3rXivWmaFQOC2ObikSheh2qJJnbm7lvDa5h8pCJbS2pXC1T1PYCdRnDQAAApUSURBVGzrQ1snZ3Sr3swddwff7FlBTqCYLomtGNu6b52FvMyo80hSyrAQ4lrgK4w0wplSytUNZpmFxZ+EVGciZV7zJgdhqdHC4an89yOrPmSPr6AyJ1tiyNDG27TYLCYbi6obmuPa9OMx1c4z6z5nhzcXgWBYWndu6jORtu6WtRq36vjXLZxZTfp2a1k2ty19m+Nb9+Pvgw7tNWGS3c1ZmRFbgw1GvaYCKeXnQPxBOgsLiwgu6DyaZ9Z9HqGLYhcqozN6VxbHlIb8zM/dELOgJhYOxcbY1tVDHYNSO8cUl9pcso+tpdl0KW9EMCqjF6MyeuHXgqhCidoKLl5+2reGxVFK8L/bt4pfstcxulVv0/MWlhaKhUWTc2bHoYzK6IVLtZc3xDXipe09qdzV98zK6wpDZdhMNETiQUHgUR2ck1m9Y45LdXBNjxOjjhuUYe5fMTviuKu8n2d9eWfbrzE3QF/Z9F29n3E4Y2mhWFg0MYpQeHTg+aws3MGXe5bh10KMzujNmFZ9qlXrpTuTiVV4JxCmzlAVCoNaduHufmeatiE7t/NI3tj6MzkBc43yraXZ7PUVRnS8bwiKoqQmVpATQzfdwnLgFhbNAiEEA1p2YkDLTlGvcal2Tu8whI+zFkWUaDsVGyPSezE/d70hKiWN1L8rexzPaR2GRM0gqUCPEUaxKSrFIW+jOPBhad3Y7s2Ner5nctsGf+bhhOXALSwOIf6v98nsCxTzW856QKAIgSZ1Lu12HNO6jaUk5GN5wXbsisqg1C5xZzz0S+nIz9nrTFfwmq6TmZDewJ/EYHq3cXyYtdA0Dq8guKz78Y3yXICSkI+SkJ8MV1KDhIOagkPTaguLPyl2xcbjg6ayvTSHhfmbcSg2jmnVu7JiMsnurtOm3yXdjuN3k+bGLsXO5E4jGlQCtSrprmSeH3op/7fotWoZMgqCW/qcFpdmeW3Z5yvkkdUfsThvC6qioAqFqZ1Hc0m3cSgNlJ99sLDkZC0sLACYl72OB1e+h6brICCka5zeYQg39ZnYYIUn0dB1na/3rGBF4Q4yE9I5ud3AaumTDUVpyM/keU9GtHZzKXYmdRjCLUec1uDPbAgaRU62tlgO3MLi4BLSw8za9iuzt/9GYchLpiedS7uP4/g2/U2vD+saKwp34NOC9G3RkZRGcKJNyaxtv/DvDd9EvGmAkWb52djbKt9mmhPRHLgVQrGwOEzRpc4Ni19nRcGOyk3PTaV7eXDl+2wvy+WSbuMi7rEpKoNTuxxsUw8aP+5bY+q8wci7X5a/jXFt+h1kq+rOoRXwsbCwiJsFuRtZVbgzImPFr4WYufkHCg+Qwnc4cqBN3UNtM9Ny4BYWhylf7F4WtcReFQq/5qw/yBY1PRPbH4U7yoasjs6QtK4H2aL6YTlwC4vDlGgNBcBo0FDXkvxDmePb9KN7Uhuc5QqBFbgUOzf3Oa3Rsm0aC8uBW1gcpoxtfUSM1aZkaGq3g2xR02NTVF4YeimXdhtHa1cLPKqDASmZPDH4QiZ1iNgjbPYcWgEfCwuLuDmuTT9e2fRdNfVCMFabx7XpRztP3RQED3Wcqp1p3cYyrR4SuM0FawVuYXGY4lBszDz6asaVa1A7FTsJNidTu4zm3v5nN4lNBcFSCoKlTfLswxFrBW5hcRjTwuHhkYHn49eClIT8tHQkVBPIOlj8kbeJJ9Z8xi5vPgAdPGncesRpDEn784VxGhJrBW5h8SfApTrIcCU3ifNekr+Vmxe/aXRqlxohqbG1LJsbF7/BsoJtB92ewwnLgVtYWDQqz6z7PCIXHYyen8+u+6IJLDp8sBy4hYVFoxHWNdYV7456fnVRVsyOQBaxsRy4hYVFoyGEQIhY5yHGaYsDYDlwCwuLRkMVCsPTups6aYFgZHqvQ07CtTlhfXMWFhaNyo29T8Vjc6JUceMKAo/NwfW9Tm5Cyw59LAduYWHRqHRObMXrI65hfNv+eFQHHtXBCW0H8ObIa+mUmNHU5h3SWHngFhYWjU5mQjoPH3leU5tx2GGtwC0sLCwOUSwHbmFhYXGIYjlwCwsLi0MUy4FbWFhYHKJYDtzCwsLiEOWgdqUXQuQAZUDuQXto7UmnedsHzd9Gy77609xttOyrP7WxsZOUMiLn8qA6cAAhxCIpZbNtfdHc7YPmb6NlX/1p7jZa9tWfhrDRCqFYWFhYHKJYDtzCwsLiEKUpHPjLTfDM2tDc7YPmb6NlX/1p7jZa9tWfett40GPgFhYWFhYNgxVCsbCwsDhEsRy4hYWFxSFKkzpwIcTNQggphEhvSjtqIoR4SAixQgixTAjxtRCiXVPbVBUhxAwhxLpyGz8SQqQ0tU01EUJMFkKsFkLoQohmk84lhDhJCLFeCLFJCHFHU9tTEyHETCFEthBiVVPbUhMhREchxA9CiDXlP9vrm9qmmgghXEKIP4QQy8ttfLCpbTJDCKEKIZYKIebUZ5wmc+BCiI7ABGBHU9kQgxlSygFSyoHAHOC+pjaoBt8A/aSUA4ANwJ1NbI8Zq4CzgJ+b2pAKhBAq8DxwMnAEcL4Q4oimtSqC/wInNbURUQgDN/9/e/cTImMcx3H8/TkQ+XMjsmr3sCmRPwfRXrSojW03N4USR1uc1NqDk3LCwcGBm40UotBa2XJBsq1/LSUXK9qDhBTh4/A8anYNu3ba/T2Pvq+amt/M9JtP0zzffv+msb0UWAvsLeDn9wVotr0CWAm0SFqbOFM1+4DBWjtJOQI/BhwACreLavtDRXMWBcto+4btb3nzLlCXMk81tgdtP0+dY5Q1wAvbL21/Bc4B7YkzjWD7NvAudY5qbL+x3Z/f/0hWgBalTTWSM5/y5rT8VqjrV1IdsAU4VWtfSQq4pHbgte2HKd5/PCQdlvQK2E7xRuCVdgPXU4coiUXAq4r2EAUrQGUhqR5YBdxLm+R3+fLEADAM9NouWsbjZIPXH7V2NGn/yCPpJrCgylNdwEGy5ZNk/pbP9mXbXUCXpE6gAzhUpHz5a7rIprXdU5ntl/FkDP8fSbOBC8D+UbPVQrD9HViZ7w1dkrTMdiH2FCS1AsO2H0haX2t/k1bAbW+s9rik5UAD8FASZNP/fklrbL+drDzjzVdFN3CNKS7gY+WTtAtoBTY40WH+f/gMi+I1sLiiXZc/FsZJ0jSy4t1t+2LqPH9j+72kPrI9hUIUcKAJaJO0GZgBzJV0xvaOiXQ25Usoth/bnm+73nY92TR29VQW77FIaqxotgPPUmWpRlIL2RSszfbn1HlK5D7QKKlB0nRgG3AlcabSUDbiOg0M2j6aOk81kub9OpUlaSawiQJdv7Y7bdfltW8bcGuixRviHPifHJH0RNIjsqWeoh2XOgHMAXrzo44nUwcaTdJWSUPAOuCqpJ7UmfKN3w6gh2wD7rztp2lTjSTpLHAHWCJpSNKe1JkqNAE7geb8ezeQjySLZCHQl1+798nWwGs6qldk8VP6EEIoqRiBhxBCSUUBDyGEkooCHkIIJRUFPIQQSioKeAghlFQU8BBCKKko4CGEUFI/AUpbwpZ5APP6AAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - } + "output_type": "stream", + "name": "stdout", + "text": [ + "Silhouetter Score: 0.5801493524075835\n" + ] } ] } - ] + ], + "metadata": { + "colab": { + "collapsed_sections": [], + "name": "k_means_clustering.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 } \ No newline at end of file diff --git a/Volume1/Chapter7/k_means_clustering/k_means_clustering.py b/Volume1/Chapter7/k_means_clustering/k_means_clustering.py index daf81c3..3dc0b9e 100644 --- a/Volume1/Chapter7/k_means_clustering/k_means_clustering.py +++ b/Volume1/Chapter7/k_means_clustering/k_means_clustering.py @@ -23,6 +23,9 @@ # Import kmeans module from sklearn.cluster import KMeans +# Import silhouette_score function +from sklearn.metrics import silhouette_score + # ------------------------------------ Generate and plot the 2D dataset ------------------------------------------- # Generate the two dimensional dataset @@ -59,6 +62,14 @@ # Show the clusters with their centroids plt.show() +# --------------------------------------- Calculate the Silhoutte Score -------------------------------------------- + +# Calculate Silhoutte Score +silhoutte_score = silhouette_score(X, kmeans.labels_, metric='euclidean') + +# Print the Silhoutte score +print ('Silhouetter Score:', silhoutte_score) +