diff --git a/lectures/10-unsupervised-learning.ipynb b/lectures/10-unsupervised-learning.ipynb new file mode 100644 index 0000000..33944ef --- /dev/null +++ b/lectures/10-unsupervised-learning.ipynb @@ -0,0 +1,2180 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Unsupervised Learning" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import mglearn\n", + "\n", + "from IPython.display import display\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Задачи до момента\n", + "\n", + "1. Изберете dataset и направете data exploration\n", + "2. Опитайте да направите по-добри резултати от нас на Titanic\n", + "3. Опитайте да направите по-добри резултати от нас на Spooky Author Identification\n", + "\n", + "Plot twist: deadline 27 ноември (понеделник)\n", + "\n", + "Формат: repository в GitHub с три notebook-а." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Unsupervised learning\n", + "\n", + "* Clustering\n", + "* Dimensionality reduction" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# k-Means Clustering\n", + "\n", + "* Unsupervised learning алгоритъм\n", + "* Разделя dataset-а на `k` сходни групи, наречени клъстери" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да се пробваме с `make_blobs`:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import make_blobs\n", + "\n", + "X, y = make_blobs(random_state=1)\n", + "mglearn.discrete_scatter(X[:, 0], X[:, 1]);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Така изглежда само `X`, където няма информация за категориите." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ -7.94152277e-01, 2.10495117e+00],\n", + " [ -9.15155186e+00, -4.81286449e+00],\n", + " [ -1.14418263e+01, -4.45781441e+00],\n", + " [ -9.76761777e+00, -3.19133737e+00],\n", + " [ -4.53655648e+00, -8.40186288e+00],\n", + " [ -6.26302115e+00, -8.10666081e+00],\n", + " [ -6.38481234e+00, -8.47302970e+00],\n", + " [ -9.20490564e+00, -4.57687928e+00],\n", + " [ -2.76017908e+00, 5.55121358e+00],\n", + " [ -1.17104176e+00, 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5.29163103e+00],\n", + " [ -6.25393051e+00, -7.10878601e+00],\n", + " [ 8.52518583e-02, 3.64528297e+00]])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще се опитаме да открием нещо такова с k-Means clustering:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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BCkwfmkFulvit4G9YeZwXPnYwYsTprRapi7Qy916+4uwnGykZWcqTzz5vHcTG\ndALWlNQGiZi05WmK+dZ11zOnrBsrP2zgRxOz/J77o4lZ1NRU884//96qDJE26XgvXzF7GKxb+7ZN\nRjPG+LDA0EIiJ22FO4kOoKmxkT/PyW7zPgtLlixh057jfOps4vZxGWSINu/+ZowxYIGhlVhtARrJ\nZ723v4mFb9chP632+1P0KydzRgbe9jOSzxuc38jGTxu5d3UdhblpzC3pwuDujZY1GGOaxa2PQUR+\nAlwL7Hcful1VX/Jz3lTgV0A68LCq/meoa8erjyGRk7b8fVZVTRPDfuPkPa+NeFoei7YMzVuLNp7g\njStzOOeJY2y9IQdV1+Y/mtGV9z/8yPoajOnAUqWP4QFVLXX/+AsK6cCDwDRgGHC5iAyLc5kCitUW\noNF+1r2r67iqRZNSy2PRlsGTLVxV0sWVeYzMtKzBGONXvDMGp6r+V5Bzvgr8RFWnuJ//AEBVfx7s\n2vHKGBI1XDNQttBy205/xzzH/WUNgbbX9M4WfDKP/z5qWYMxnUiqZAw3ichmEXlURHr4eb0v8InX\n893uY0mRqElbgbKFlh3QgVZODZQ1BNpe0ztb8Mk8LGswxvjRpoxBRF4H/N1e3gG8BXyOa5j+XUCh\nql7d4v3Tgamq+k338znAGap6k5/PmgfMAxgwYMDoXbt2RV3uZPOXmXTLhGP1vuf5W//Io2XWEGx7\nzbGlI3h361a/aykVL3JyvMH1fGzfNLbXZNnCd8Z0UAnJGFT1HFUd4ednharuU9VGVW0C/hcY6+cS\ne4D+Xs/7uY/5+6yHVLVcVcsLCgraUuyk85eZHK3zfT7/puu57gz/QQFaZw3BttccN2Gi32sV5qbx\nrdFdWPCVLuidebz9TYdtsmOMiWsfQ6GqVrkfL8CVCcxscU4G8AFwNq6AsAaYpapbg107UVt7JlMk\n/R2/X/FSwJnaqhpypJV31uC5pi15YUzHE27GkBHqhDa4V0RKcTUl7QS+5S7YybiGpZ6nqg0ichPw\nCq7hqo+GCgqdhadiDtZE5LHg5hv8zNR2ZRGqGnKk1bfOcNjy2MaYZrZWUooLtJifR6C5F56s4ZTi\nYt7ZsCXk51iWYEzHlyqjkkwbtFyew9+yHKFmao8bP9GWxzbGRMQyhhTmb5c076zBO1sA+MaK4zx2\nUTZ9HF/Mg7DtNaPz4EMP8nnV5yHP613Ymxvn3ZiAEhnTdqnQx2DawJMteCp9j9vOgBEPL+G223/k\nky0sePl6kSCFAAARAUlEQVQE7+xxrYHk2W7Uu6/B+g8i079ff9YeX8va/MA3IOWHyxnVb1QCS2VM\nYlhgSFHBm4hcr695+5+sXuNk4WrXnId/XJ3DuEeP8sBbdT7vGVf3j0QWvUOomFDBxo0b2eLYwomM\nE61e79rQlUFHB1ExsSIJpTMmviwwpKBA2YKHJ2vwNBF5mpzKCm2EUazk5uZSWlrKRx9+5DdrGOEc\nQVlpGQ6HIwmlMya+rPM5BUWymF84HdQmOhUTKhh0dBBdG7r6HLdswXR0ljGkIO8momDG1f0jwG5z\n1q8QC4GyBssWTEdnGUMKCncxv9+veClhu811Vi2zBssWTGdggaEdS+Ruc52VJ2sY4RwBWLZgOgcL\nDO1UoL2pPSxriB1P1pBfm2/ZgukULDC0U4ncba6z82QNkz6bZNmC6RSs87mdiqSDurOLxSzmigkV\n7N+/37IF0ylYYGinbG2j8MViFnNubi7XzL0mHsUzJuVYYDAdXqhZzBV7K+hV14v1a9azfs36gNdp\n67pItv6SaS8sMJgOL9Qs5nRJZ0feDtb3DBwUYrEukq2/ZNoLCwwmKRJ99xwoa+ja0JX8xnx6HO/B\new3vxXVdJFt/ybQXFhhMUoRz91x2oIzGqkZ++tOftnot0oARbBbzqLJRKBr3dZFs/SXTXlhgMEkR\nzt1zv6P9eKnfS9Rm1Pq8Fm1zS8vP9L5DX/LEEvod6ec3o+h3pF9z/0NbM5hgmYtlCyZVWGAwSRHq\n7nnIkSHscuxqFRS8K9Bwm6MapIEMdf1Tb6SRoUeGsqHXBp879IEDB7LjyA6GVA9hU89NX5Sjegg7\ncnewuefmmLT/2/pLpj2IS2AQkaeBIe6n+cBhVS31c95OoAZoBBrC2VnIdBzB7p6LnEW83PflVu/x\nrkDDaY4qOViComzuuRmAMw6ewSDnID5yfORzh14xoYINGzbQzdmNbXnbmjOKAc4BvHryqzG9ow+W\nuRiTCuIy81lVv66qpe5g8AfguSCnV7jPtaDQybRch8hjhHMEaZKGID7HW1aggZbF9j5/gHMA2/K2\nffH8+ABGjhzZahZzbm4uZWVlHMs8xpBq1z3NkOovspZY3tHb+ksm1cW1KUlEBLgMOCuen2Par0B3\nz8NHDueTnZ8EbW4J2RxV7dscNcI5gowuGWzZuIVMMv3OW3DgoFt9N3bl7GrOFuIxz8Hzvbdnb7ds\nwaScePcxTAD2qeqHAV5X4FURUeB/VPWhOJfHxEishpu2rNw9lf+ZE85k66+3hmxuCdYc5anYPc8H\nHR3EkOFDeHHniwGbn0oOltDrRC8m7pvITsdOajNq4zLPwfO969bXUTbKsgWTWqIODCLyOtDHz0t3\nqOoK9+PLgSeDXGa8qu4RkZOA10TkX6r61wCfNw+YBzBgwIBoi21iJJaTtfzdPTscDr8Bo2UFGihr\nOO3IaQGzhX7SevSRx86cnQyqHsTBrINsy9tG14auOGodOOocvJcX23kOtv6SSVVR9zGo6jmqOsLP\nzwoAEckALgGeDnKNPe7/fgY8D4wNcu5DqlququUFBQXRFtvESDjt++FWloFWLw13uWt/m+kUOYvY\nlbOr+Xm/6n7UH60HQFQYemSo32sNcg4iPSOd6i7V1GbUukYl5e3go9yPmvseWoq2j8Cz/pJlCybV\nxHPZ7XOAf6nqbn8vikiOiOR6HgOTgS1xLI+JoUAdxx6RVpYVEyoY1N+38g93uWt/nbkFBQUMPj64\n+flJvU9iZ/5Oni16llX9VtH/aH+/ezkXOYuQBqHIWUR+bX5z5/W2vG0MdA60/Z9NpxDPPoaZtGhG\nEpGTgYdV9TzgS8Dzrv5pMoDlqtp6fKJJWbGcrBVo9dKKCRVs3LwxZMcvQH/pz/bs7fQ70o9Deogi\niig6XATAQQ76NCHtcuxqNWfhtCOnUZ1RzRt93+CsvWf59DMAft9jI4pMRxS3wKCqV/k5thc4z/14\nB1ASr8838ZeIyVq5ubmUjixl9YbVdGvoFvxkhYn7JuLs4uT1wtebD59ZdSa9a3uToRlcsPuC5uMN\n0uAzZ6HIWcQbfd4AYF2vdZz56ZnNzVEA2/K2MXnvZJ/3WLZgOiKb+WzaJBGTtSomVLB23Vo+zP2Q\nTb1cd+ueyt5bOumkN6XTpbYL03dOB+DzrM85lHWIQ1mHfO70wTUCyZMBDDkyhEYaqc6qBuBI1hF2\n5u6k6GgRm7Jc7zuRcYJjmccYVj2M9T3XJzRbsCW7TSJZYDBtEmi4aSwry9zcXEpOL6FpcxPburvu\n1gNV9t48s54/yPvA507fw5MB7MrZxSDnIDI0ozmgeLTMKvIb88mtyWVHzg6fNZT8iWUlbUt2m0Sy\nwGDaLBGTtSafPZlN77ru7Df12tSqWaelrg1dGegcyCsnv0JtRq2rf8D9Xg9PX8PEfROplVr+OPCP\nPtcoOVhC36N9fTKEUWWj+GjXR0zcN7F5DSV/Yl1J25LdJpHiOSrJdBLhjh5q62eUnF5CkbOIrg1d\nfTqQ/RlyZAjODGdzx/G2vG3N7/W2M2cnosKa3mt8jnsCSze6UXy82GfI7IyLZpBOuk//Q8v3xrqS\njvUoMGOCscBgYsLfcNNY21u1F9RV6QNBh5AOPDoQR73D9zWv93oMcg6iJqOGz7v5tt8PqR7Cscxj\njBo1qlXQKywspHx0efNw2JbiVUkHmjti2YKJNQsMJiYSMVlr4MCBHOtyzCdr2N1tN6cdOc3nvKFH\nhvJJt0/YlftFRjHkyBAE8ckaPCOR3u3xrs/7PdlCfmM+FRMr/Aa9ZFTSwRYdtGzBxJIFBtNuVEyo\noHtTd8Drzl/xyRo8FXOXtC7NGUV+bT5FziJGDHOt2up579AjQ+nVqxcD6wb6fM6w6mGICqPKRuFw\nOPwGvWRV0v5meVu2YGLNAoNpN7yXxh7kdC2V0fd4Xz7O+bg5MxhWPYyRp49kwHHXelqezuU0SeP8\naedTcnpJ83tPOXEKMy+d2aqiLT5ezIC+A0JWtsmopG3JbpMIFhhMu+LJGk6knWDivonscuzi/fz3\nmzOD4uPFTDlnSnPluS1vG/Xp9ZSOLMXhcDD57Mk4ch1M2ufqM+jTp4/finbeNfNCVrbJqqTDXUPK\nmGjZcFWTdJFO3iorK+OFbS+QWZfJtrxt1GbUcizzmKuyH+2qmL2H0DpwBQRwVeY3fPMGnnnuGZ8N\nf6IdbpuMfRVsyW4TbxYYTNJFOnmrYkIFa9atIaMpg6/t/prPeS0nnE36dBJl5WUsXb60VfC57777\nfJ6fU3UOGTkZEVW0yaqkbcluE08WGEzSRTp5Kzc3l4LeBaw5voaNvTYGvG754XJOazqNiokVvPHX\nN0IGn7KDZVz05YuiKn+iK+lAiw4aEwvWx2CSLprJWzMumsEgZ+j9IG689sbmpqVQ+0eccvyU5ian\nSMtv+yqYjsQCg0kJkc4LKCwspHdB71ZzGDwC7Q9tM4eNCc0Cg0kJ0cwLmHHRjIiCic0cNiY8FhhM\nyoh0XoBnaYpwg4nNHDYmPNb5bFJGNEt4R7ofhGdEk2dnNw9/y2fb3gams7LAYFJKpPMCIg0mkYxo\nsr0NTGdlTUkmpUSzhHekM4HDHdFkfQ6ms7KMwaScSOcFRDrJzHtEk7+sIRl9DrZ1p0klbQoMIjID\n+AkwFBirqmu9XvsBcA3QCHxbVV/x8/5BwFNAL2AdMEdV69pSJtP+RTN5K9JgMuOiGXz+8Of8q/u/\nfCbVJStbsK07TSppa1PSFuAS4K/eB0VkGDATGA5MBX4jIul+3v8L4AFVPQU4hCuQGBOxSCeZRTqi\nKd7CmYBnzVsmUdoUGFT1fVXd5uelC4GnVLVWVT8CtgNjvU8QEQHOAp51H1oKRL4egTFRSqW9DWwC\nnkkl8ep87gt84vV8t/uYt17AYVVtCHJOMxGZJyJrRWTt/v37Y1pY0zml2t4GNgHPpIqQgUFEXheR\nLX5+LkxEAT1U9SFVLVfV8oKCgkR+tOnAUmlvA5uAZ1JFyM5nVT0niuvuAfp7Pe/nPubtAJAvIhnu\nrMHfOaaTStQonVTb2yDSCXvGxEO8hqu+ACwXkfuBk4HBwDveJ6iqishfgOm4RibNBVbEqTymnUnk\nKJ1U2tsgmtnfxsRam/oYRORiEdkNfBVYKSKvAKjqVuAZ4D3gZeBGVW10v+clETnZfYl/B24Vke24\n+hweaUt5TMeRyFE6qbZsdio1b5nOqU0Zg6o+Dzwf4LW7gbv9HD/P6/EOWoxWMgZa3zm31JHvpFOt\nect0PrYkhklZnXmUTsWECgb179jf0aQuCwwmZXXmUTqp1rxlOhcLDCalpdIkNGM6CwsMJqWl2iQ0\nYzoDCwwm5dkoHWMSy5bdNinPRukYk1gWGEy7kEqT0Izp6CwwmHYhmj0ajDHRsT4GY4wxPiwwGGOM\n8WGBwRhjjA8LDMYYY3xYYDDGGONDVDXZZYiYiOwHdkXx1t5A6N1fUld7Lz+0/+9g5U++9v4dkln+\ngaoacgvMdhkYoiUia1W1PNnliFZ7Lz+0/+9g5U++9v4d2kP5rSnJGGOMDwsMxhhjfHS2wPBQsgvQ\nRu29/ND+v4OVP/na+3dI+fJ3qj4GY4wxoXW2jMEYY0wIHT4wiMgMEdkqIk0iUu51/FwRWSci77r/\ne1YyyxlMoO/gfu0HIrJdRLaJyJRklTFcIlIqIm+JyEYRWSsiY5NdpmiIyM0i8i/3/5d7k12eaIjI\nd0RERaR3sssSKRH5pfv3v1lEnheR/GSXKRwiMtX9t7pdRL6f7PIE0uEDA7AFuAT4a4vjnwNfU9XT\ngbnAE4kuWAT8fgcRGQbMBIYDU4HfiEh64osXkXuBn6pqKfBj9/N2RUQqgAuBElUdDvxXkosUMRHp\nD0wGPk52WaL0GjBCVUcCHwA/SHJ5QnL/bT4ITAOGAZe7/4ZTTocPDKr6vqpu83N8g6rudT/dCmSL\nSFZiSxeeQN8BV+X0lKrWqupHwHYg1e/AFchzP+4O7A1ybqq6HvhPVa0FUNXPklyeaDwA3Ibr/0e7\no6qvqmqD++lbQL9klidMY4HtqrpDVeuAp3D9DaecDh8YwnQpsN7zh96O9AU+8Xq+230slc0Hfiki\nn+C60075Oz0/TgUmiMjbIvKmiIxJdoEiISIXAntUdVOyyxIjVwOrkl2IMLSbv9cOsVGPiLwO9PHz\n0h2quiLEe4cDv8CVVidNW75Dqgn2XYCzgQWq+gcRuQx4BDgnkeULR4jvkAH0BL4CjAGeEZEvawoN\n8QtR/ttJ8r/3cITzNyEidwANwLJElq2j6xCBQVWjqlhEpB/wPHClqlbGtlSRifI77AH6ez3v5z6W\nVMG+i4g8Dtzifvp74OGEFCpCIb7D9cBz7kDwjog04Vr/Zn+iyhdKoPKLyOnAIGCTiIDr38x6ERmr\nqp8msIghhfqbEJGrgAuAs1MpKAeRkn+v/nTapiT3KIaVwPdVdXWyyxOlF4CZIpIlIoOAwcA7SS5T\nKHuBSe7HZwEfJrEs0fojUAEgIqcCXWgni7qp6ruqepKqFqlqEa7mjFGpFhRCEZGpuPpI/k1VjyW7\nPGFaAwwWkUEi0gXXwJEXklwmvzr8BDcRuRj4NVAAHAY2quoUEfkhrvZt74ppcip2JAb6Du7X7sDV\nxtoAzFfVlG5rFZHxwK9wZasngBtUdV1ySxUZ9x/1o0ApUAd8V1XfSG6poiMiO4FyVW0Xgc1DRLYD\nWcAB96G3VPW6JBYpLCJyHrAQSAceVdW7k1wkvzp8YDDGGBOZTtuUZIwxxj8LDMYYY3xYYDDGGOPD\nAoMxxhgfFhiMMcb4sMBgjDHGhwUGY4wxPiwwGGOM8fH/ATp5SlTVd3HGAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mglearn.discrete_scatter(X[:, 0], X[:, 1], y);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Кодът би трябвало да изглежда съвсем познато, освен че `fit` не примера `y`:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "\n", + "kmeans = KMeans(n_clusters=3, random_state=2)\n", + "kmeans.fit(X)\n", + "y_pred = kmeans.predict(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да начертаем резултатите:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mglearn.discrete_scatter(X[:, 0], X[:, 1], y_pred);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Изглежда сме намерили същите клъстери. Това значи ли, че `y == y_pred`?" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False,\n", + " False, False, False, False, False, False, False, False, False, False], dtype=bool)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y == y_pred" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0 1 1 1 2 2 2 1 0 0 1 1 2 0 2 2 2 0 1 1 2 1 2 0 1 2 2 0 0 2 0 0 2 0 1 2 1\n", + " 1 1 2 2 1 0 1 1 2 0 0 0 0 1 2 2 2 0 2 1 1 0 0 1 2 2 1 1 2 0 2 0 1 1 1 2 0\n", + " 0 1 2 2 0 1 0 1 1 2 0 0 0 0 1 0 2 0 0 1 1 2 2 0 2 0]\n", + "[1 2 2 2 0 0 0 2 1 1 2 2 0 1 0 0 0 1 2 2 0 2 0 1 2 0 0 1 1 0 1 1 0 1 2 0 2\n", + " 2 2 0 0 2 1 2 2 0 1 1 1 1 2 0 0 0 1 0 2 2 1 1 2 0 0 2 2 0 1 0 1 2 2 2 0 1\n", + " 1 2 0 0 1 2 1 2 2 0 1 1 1 1 2 1 0 1 1 2 2 0 0 1 0 1]\n" + ] + } + ], + "source": [ + "print(y)\n", + "print(y_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`y` и `y_pred` създават идентични разделения на данните, но номерацията им е различна.\n", + "\n", + "В sklearn има метрика, която хваща това:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.metrics.cluster import adjusted_rand_score\n", + "\n", + "adjusted_rand_score(y, y_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`adjusted_rand_score` има повече особености, но ще ги погледнем по-натам." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Как работи k-Means Clustering:\n", + "\n", + "1. Алгоритъма избира $k$ произволни точки, наречени \"центрове\".\n", + "2. Всяка точка от dataset-а се \"оцветява\" спрямо най-близкия център.\n", + "3. Всеки център се премества до центъра на тежестта на точките от един цвят.\n", + "4. Стъпки 2-4 се повтарят докато не се получи стабилна позиция." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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MX2b06NFYsOBBCPGqV0JGT4YPv4wbbjgPu13g4EFHjbHx4y8hK2umlyFUV1eH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\ncfny5ci/nI8lmiXIW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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mglearn.plots.plot_kmeans_boundaries()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Един от параметрите на `KMeans` е колко клъстера да намери алгоритъма. Обърнете внимание, че той не знае колко клъстера има в данните." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Това е възможен отговор за `k=2`:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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PGWMKjTGFubm5kWy2UkoBoQ0JxXKZabhELDCIiADzgT3GmFk+zunuOA8RGeRoz5FItUkp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\nUkopDxoYlFJKefj/AOWb+/WwgDIAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "assignments = KMeans(n_clusters=2, random_state=0).fit_predict(X)\n", + "mglearn.discrete_scatter(X[:, 0], X[:, 1], assignments);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Това е възможен отговор за `k=5`:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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cg0YMSSRYbUMgwYICfDGa0H/chtu0aROTr7ya3EvuI3fEFDLbdcbS0sls15nc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\nOnCFmWV7Vh71Aj7wbeBqZr3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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "assignments = KMeans(n_clusters=5, random_state=0).fit_predict(X)\n", + "mglearn.discrete_scatter(X[:, 0], X[:, 1], assignments);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Един от проблемите на k-Means е че не може да се справи със всякаква форма на клъстерите. Например:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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kOXbO+S4A9n/qBCEB1qQPOtrlQkJc3sNUNsDWdGfV4U+gH3QrIqb8EeH6Vlze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\nx04QBBFg/H9lHOK5AvI9UAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X_varied, y_varied = make_blobs(n_samples=200, cluster_std=[1.0, 2.5, 0.5], random_state=170)\n", + "y_pred = KMeans(n_clusters=3, random_state=0).fit_predict(X_varied)\n", + "mglearn.discrete_scatter(X_varied[:, 0], X_varied[:, 1], y_pred);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Вероятно по-добро разделение щеше да бъде гъстите региони бяха два от клъстерите и всичко между тях беше третия." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ето и друг пример:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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31833HH/lMm4uxrfHal4fxG5ExdCis93o6KiamZmJ/byULXcfedV2ByYBHJuK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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X, y = make_blobs(random_state=170, n_samples=600)\n", + "random = np.random.RandomState(74)\n", + "transformation = random.normal(size=(2, 2))\n", + "X = np.dot(X, transformation)\n", + "\n", + "plt.scatter(X[:, 0], X[:, 1]);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Тук ясно се виждат три отделни клъстера. Но какво ли ще намери k-Means?" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Ho0f9C2u2qH2cEV3WATDyunW0bXACk0kfsPxqMMBLL7XkmmsiMJv1LFnSk+bN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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kmeans = KMeans(n_clusters=3)\n", + "kmeans.fit(X)\n", + "y_pred = kmeans.predict(X)\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(X[:, 0], X[:, 1], c=y_pred, cmap=mglearn.cm3)\n", + "plt.scatter(kmeans.cluster_centers_[:, 0], kmeans.cluster_centers_[:, 1], marker='^', c='orange', s=200, linewidth=2);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Друго, с което k-Means няма да се справи добре е `make_moons`:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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VtwE8BmCdz2PXAHhaVY+r6gkATwO4LgKZIqWZaKH6Y/LWUbK8eGswDTD2HBpHd2ch8Pn4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\nAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import make_moons\n", + "X, y = make_moons(n_samples=200, noise=0.05, random_state=0)\n", + "plt.scatter(X[:, 0], X[:, 1]);" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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mDEIIwWuvdQ6oqmu1GujevTZ9+tQJfPINN4A9SJGbwQC33AJN9XdIU3a0Y4gA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\nOFQxKIqiKHH8D1ngjbmlEtxyAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kmeans = KMeans(n_clusters=2)\n", + "kmeans.fit(X)\n", + "y_pred = kmeans.predict(X)\n", + "\n", + "plt.scatter(X[:, 0], X[:, 1], c=y_pred, cmap=mglearn.cm2, s=60)\n", + "plt.scatter(kmeans.cluster_centers_[:, 0], kmeans.cluster_centers_[:, 1], marker='^', c='orange', s=100, linewidth=2);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Aside\n", + "\n", + "Бихме могли да ползваме k-Means за да подобрим резултати от линеен модел." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Какво бихме постигнали с линеен SVM?" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.88" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.svm import LinearSVC\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.pipeline import make_pipeline\n", + "\n", + "X, y = make_moons(n_samples=200, noise=0.05, random_state=0)\n", + "\n", + "model = make_pipeline(StandardScaler(), LinearSVC(C=10))\n", + "model.fit(X, y)\n", + "model.score(X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "А ако прекераме данни през k-Means при `k=10`?" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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BaRhIIwhC48AX77RKFACQJtv/8xcKLrgBmys1vsYqWsWxoiqe+u571FT68IUq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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kmeans = KMeans(n_clusters=10, random_state=0)\n", + "kmeans.fit(X)\n", + "plt.scatter(X[:, 0], X[:, 1], c=kmeans.predict(X), s=60, cmap='Paired')\n", + "plt.scatter(kmeans.cluster_centers_[:, 0], kmeans.cluster_centers_[:, 1], s=60, marker='^', c=range(kmeans.n_clusters), linewidth=2, cmap='Paired');" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`KMeans` има метод `transform`, който връща дистанцията от центровете:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.9220768 , 1.46553151, 1.13956805, ..., 1.16559918,\n", + " 1.03852189, 0.23340263],\n", + " [ 1.14159679, 2.51721597, 0.1199124 , ..., 0.70700803,\n", + " 2.20414144, 0.98271691],\n", + " [ 0.78786246, 0.77354687, 1.74914157, ..., 1.97061341,\n", + " 0.71561277, 0.94399739],\n", + " ..., \n", + " [ 0.44639122, 1.10631579, 1.48991975, ..., 1.79125448,\n", + " 1.03195812, 0.81205971],\n", + " [ 1.38951924, 0.79790385, 1.98056306, ..., 1.97788956,\n", + " 0.23892095, 1.05774337],\n", + " [ 1.14920754, 2.4536383 , 0.04506731, ..., 0.57163262,\n", + " 2.11331394, 0.88166689]])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans.transform(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Така си създадохме нови feature-и. И ако сега ги дадем на `LinearSVC`:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.pipeline import make_pipeline\n", + "\n", + "pipeline = make_pipeline(\n", + " StandardScaler(),\n", + " KMeans(n_clusters=10, random_state=0),\n", + " LinearSVC(C=10)\n", + ")\n", + "pipeline.fit(X, y)\n", + "pipeline.score(X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Разбира се, това беше абстрактно приложение върху синтетичен dataset. Прилагането на практика е малко по-сложно." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Agglomerative Clustering\n", + "\n", + "Как работи:\n", + "\n", + "1. Декларира всяка точка отделен клъстър\n", + "2. Събира двата най-близки клъстера в един\n", + "3. Повтаря стъпка две докато не останат $k$ клъстера\n", + "\n", + "Какво значи \"най-близки\" клъстери се контролира от параметри.\n", + "\n", + "Повече детайли в [документацията](http://scikit-learn.org/stable/modules/clustering.html#hierarchical-clustering)." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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ZtCwr87o5e/bs7JQukmNxcXEA+Pj45MmPevYwe/ZsXn/9dYoUKcKsWbOuGc9t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/9NjRo1VFfTVqxYQV5eXrH2m5iYyNKlS+natSsODg688847bN++HYVCQffu3QkNDSUuLo4ffvhB\ntdx5YfXu3ZvKlSu/cL6tghQ2mwsXLgSejfQtbcO5Je3o0aMH8OKFNqSC6XJln/zJbv95S6lU+uRn\n80ULbUgFk9nUPHk7VQFsbGzYunUrX3/9NbNmzWLz5s1s3ryZhg0b0rNnTxo2bIiHhwcODg6YmJiQ\nm5tLamoqCQkJxMbGEhERwZEjR4iKinou5M7OzvTo0YPevXvj7e2t8Xsbp02bxt69e5k1axbdunWj\ndevWL93e29v7uVtG/unfs6BnZ2fz5ZdfAjBu3DiN1i1J6qpcuTL79u1j0qRJ/Pbbbyxfvpzly5fj\n7e1N165d8fLyws3NDXt7e4yNjcnJyeHevXvEx8cTExPDhQsXOHz48H86fjw9PenRowd9+/ZVLQes\nKQqFgu+//57AwECmTJlCx44dX9kJWphs3r9/n+nTpwMym5JuuLi4cPz4cfr378/evXsZMGAAM2bM\nYMyYMQQGBqp1BSwtLY3Tp09z+PBhdu7cqZp3AJ5lyNfXl7fffps+ffqo5sQqLnNzc7766itGjBjB\niBEjaNWq1Su/6BUmm7dv3+bXX38F4KOPPtJIzVLp16JFCzw9PYmJiWH79u10795d1yUZhMJkU9Mu\nXrwIyFsmS7suXbpQqVIlzp8/z+nTp2nevLmuSzIIMpuaJztxXsLU1JRvvvmGkSNHMmPGDFasWEFE\nRAQRERFq78PMzAw/Pz86dOhAly5dqF+/vlYnpXr99deZMmUK3377LcHBwRw9elQ1p8+LeHl5cenS\nJa5fv/5csP49C7oQgpEjR3L16lU8PT1Vt4dIki6UK1eO+fPnM3bsWL7//nv+/PNPjh8/zvHjxwu1\nj7Zt26qymT+JubZ069aNgQMH8scff9C9e3eOHDny0h+i6mYzLy+Pfv36kZaWRuvWrV+4lLIklYRq\n1arx999/s3LlSr788ksuXrzI0KFDGTp0KK6urjRu3Jjq1atTsWJF4NkKLsnJydy5c4fo6Gji4uKe\n25+5uTkBAQEEBgYSGBiomgNL04YNG0ZoaCi7du2iR48ehIeHPzevz7+pm80nT54QHBxMVlYWffr0\noXHjxlqpXyp9FAoFQ4cO5eOPP2bOnDmyE0dN6mZTG86fPw+g96sHScVjYWHBgAEDmD17NnPnzuV/\n//ufrksyCDKbmqcozFCwZs2aidOnT2uxHP2WlZXFrl27OHjwINeuXSMmJoaUlBSUSiVGRkZUrFiR\nKlWq4ObmRt26dfHx8aFZs2aqpc1KSk5ODp07d2bPnj2qL9Uvu+ovhHjlLOjff/89U6ZMwdLSkgMH\nDpTJnmeFQnFGCNFM13W8SFnP5qNHj9i+fTtHjhzh+vXrxMbGcu/ePQCMjY2pVKkSVatWxd3dnXr1\n6tGyZUuaNGlSrNsXi+Lhw4e0bt2ac+fOUadOHXbv3v3S20BelU0hBGPGjGH+/PlUrFiREydO4Obm\nVoJHpB/0NZtlOZdZWVmsWbOGDRs2cPLkSVJSUl75GgsLC1577TVef/11OnToQJs2bdRanVETkpKS\n8PHx4caNG6orhi9arSrfq7KZm5vLO++8w/r163F2dubkyZMaGz1kSGQ2i+7BgwfUqlWL+/fvEx4e\nrrUJjksbdb7TakPLli05duwYYWFhBjFnpMxm0d2+fRs3Nzfy8vKIjIyU00uoSVfZrFWrFrdu3eL8\n+fMaH2mvDepmU3bilFKZmZl06dKFQ4cOYW1tzZw5c3j//fcxMircNEiPHj1i1KhRLF++HIANGzYQ\nFBSkjZL1nr6e8EBm05AkJSUREBBAVFQUDg4O/Prrr/Tq1avQJ7DU1FRCQkLYtm0bpqamhIeH4+fn\np6Wq9Zu+ZlPm8pmcnByio6OJiooiKSmJtLQ0FAoFZmZmVKlShWrVquHp6UmtWrUwMdHdAOFr167h\n7+/P7du3cXZ2ZunSpbRv377Q+7lz5w59+/blyJEj2NracvToUerXr6+FivWfzGbxTJs2jc8++wwv\nLy/OnDlT4hceJPWkp6dTuXJllEolaWlplC9fXtclvZLMZvGMGjWKBQsWEBAQwO7duw1i6e+yKDY2\nFk9PTypUqMC9e/cK/TtYF9TOphBC7UfTpk2FZDgePXokevfuLQABCD8/PxEeHi7y8vJe+drc3Fyx\ndu1a4erqKgBhaWkpli1bVgJV6y/gtChEXkryIbNpWFJTU0WHDh1U2ezatas4fvy4UCqVr3zt06dP\nxeLFi4Wjo6MAhJ2dndi6dWsJVK2/9DWbMpeG586dO6J58+aqbPbr109ERESo9dqHDx+K2bNniwoV\nKghAVKtWTRw+fFjLFes3mc3iefTokXBxcRGAmD59uq7LkQrw+++/C0AEBATouhS1yWwWT3JysqhU\nqZIAxMqVK3VdjlSAb775RgDivffe03UpalM3m3IkTiknhODPP//ko48+Ijk5GYBKlSrxzjvv0KZN\nG9zc3KhSpQp5eXmkpqYSHR3N/v372bJlCwkJCQDUr1+ftWvXltkrifn09aoFyGwaIqVSycKFC5k8\nebJqaUUnJyf69OmDn58fLi4u2Nvbk5eXR1JSEpcuXSI8PJytW7eSmpoKPBu+vXr1apydnXV5KDqn\nr9mUuTRM2dnZ/Pjjj3z99ddkZWUB4ObmRu/evWnZsiW1a9emYsWK5OTkEB8fT1RUFLt37yYsLIzM\nzEwAOnfuzLJly3BwcNDloeiczGbx7dq1izfffBNzc3MOHz5Ms2Z693aWee3atWP//v0sXLiQoUOH\n6roctchsFt+yZcsYOHAgdnZ2nDlzBhcXF12XJP2DEII6deoQGxvLtm3b6NKli65LUosciSM9Jy0t\nTUydOlU4OTkJKysr1VXGlz1cXV3Fr7/+KrKzs3Vdvl5AT69aCJlNgxYfHy8mTJggKleuLCwtLdXK\nppeXl/jf//6n1qi6skBfsylzadiuXr0qRo4cKSpXriyMjY3Vyqa3t7fYunWrWqPqygKZTc0YPny4\nAETNmjVFcnKyrsuR/uHSpUsCEFZWVuL+/fu6LkdtMpvFp1QqRWBgoABEo0aNxKNHj3RdkvQPe/bs\nEYCoXr26yMnJ0XU5alM3m3J1qjKiQoUKfPnll3z66aecOnWKXbt2cfLkSW7dukVKSgomJibY2tpS\nt25dGjduTGBgII0bN5b3eEqSljk6OjJjxgy+++47Dhw4wJ49ezhz5gy3bt0iPT0dU1NT7OzsqFev\nHk2bNqV79+7UqVNHZlOStMzV1ZVffvmF2bNnEx4eTnh4OBcuXODGjRtkZmZiamqKvb099erVo0WL\nFnTv3p3atWvrumypFJo7dy7nzp3jxIkTBAYGsnv37peuoCaVnDlz5gDQr18/g5gLR9IchULBihUr\naN68ORcuXODtt99m06ZNmJmZ6bo0CZg9ezYAQ4cO1el8e9oib6eSJDXp69BTkNmUyjZ9zabMpVTW\nyWxqTnx8PD4+Pty+fRs/Pz/CwsKwtrbWdVll2tWrV6lbty5KpZLo6Gg8PDx0XZLaZDY15/Lly/j6\n+pKWlkbPnj35888/ZUeOjh09ehRfX1+srKy4efMm9vb2ui5JbepmU/+naJYkSZIkSZKkMqxatWqE\nh4dTrVo1Dh06hL+/v2ruQkk3Pv74Y3JzcxkwYIBBdeBImlWnTh12795N+fLl2bx5M926deP+/fu6\nLqvMysvLY+zYsQB89NFHBtWBUxiyE0eSJEmSJEmS9Jybmxv79++nVq1anDp1imbNmnHy5Eldl1Um\n/fXXX/z111/Y2Njw7bff6rocSceaNm1KeHg4Dg4O7N69mxYtWnD58mVdl1UmLV68mJMnT1K9enUm\nTZqk63K0RnbiSJIkSZIkSZIBcHd35+TJk/j5+REfH0/Lli35/PPPyc7O1nVpZUZSUhLDhg0D4Jtv\nvqFatWo6rkjSB02bNuXkyZN4eXkRGxtLkyZNmDNnDnl5ebourcy4cuUKEydOBJ7NJVaa5w6TnTiS\nJEmSJEmSZCAcHBzYs2cPH330EUqlkm+//ZbGjRuze/duXZdW6uXl5fHuu++SmJiIn58fo0aN0nVJ\nkh6pVasWR44c4b333uPp06eMGzeOli1bcvz4cV2XVuo9efKE4OBgMjMzCQ4OJigoSNclaVXpm6pZ\nkiRJkiRJkkoxMzMz5syZQ69evRg0aBDR0dF07NiR1q1bM2nSJDp16iRXMdQwIQQff/yx6raZP//8\ns1SuelOa5ObmEhUVxaVLl4iNjSU5OZm0tDTy8vJQKBTY2dnh4OCAq6srnp6eNG7cGCsrq2K1aWNj\nw/Lly3nrrbcYPnw4J0+exMfHh86dOzN58mRatWols6lhSqWSkJAQLly4gJubG0uWLCn177H8yyNJ\nkiRJkiRJBsjPz4/IyEh++uknvv/+ew4ePMjBgwfx9PRk0KBBBAcHU6tWLY23K4QgLS2N27dvk5SU\nRFpaGk+fPkUIgbW1Nfb29ri4uODs7IyRUekY+D99+nR++uknTE1NWbdunbyNSk+lpqayYcMGQkND\nOXLkCJmZmWq/1sjICC8vLzp06EC3bt1o1apVkT+/3bp1o23btkyfPp25c+cSFhZGWFgYjRs3ZvDg\nwfTq1QtHR8ci7ftlhBCkpKRw+/ZtVadVdnY2QghsbW2xt7fH3d2d6tWrl4qODiEEY8aMYd26ddjY\n2LBp0yZsbW11XZbWySXGJUlN+rocI8hsSmWbvmZT5lIq62Q2S1ZGRgYLFy5k7ty5xMfHq/69QYMG\n+Pv706pVK5o0aULt2rUxNjZWa58PHjzg+vXrxMbGEhsby+XLl4mJieHKlStkZGS88vXW1tb4+PgQ\nEBBAz549cXd3L/Lx6YoQgu+//55PP/0UhULBmjVr6N27t67LKpbSmM3IyEhmz57N6tWrn5sjysXF\nhcaNG+Pp6Um1atWoWLEipqam5OXlcf/+fZKSkrh69SpRUVFERkY+N4dNjRo16NevH0OHDi1WZ2hK\nSgo///wzv/zyC6mpqf88Xtq1a4evry+NGzemZs2aanWsCCFIT0/n2rVrqmxGR0cTGxvL1atXefTo\n0Sv3YWdnR6tWrQgICKBXr17UqFGjyMenK0qlko8++oj58+djZmbGzp07adeuna7LKhZ1syk7cSRJ\nTfp6wgOZTals09dsylxKZZ3Mpm7k5uYSFhbGqlWr2Llz539GIlhYWFCzZk2cnJyws7PD2toaIyMj\n8vLyePjwoeqHbXx8/EuXSraxscHZ2RlHR0cqVqxIuXLlAMjMzCQ5OZnY2FgSExOfe02LFi0YNGgQ\n77zzTrFvWykJ+csVz58/H4VCweLFixk0aJCuyyq20pTNGzdu8Mknn7B27VoAFAoFHTp0oE+fPnTs\n2LFQI6YeP37M8ePH2bFjB+vXr+fWrVuqfXbt2pVPPvkEHx+fQtX3T0+fPiU0NJTVq1fz999/8/Tp\n0+eet7KyombNmlSvXh07OzusrKxQKBTk5uby8OFD0tPTSUpK4u7duy8dYWRnZ4ezszNVq1alYsWK\nWFhYAM86ZZOSkoiOjiYtLU21vUKhoE2bNgwZMoSgoCDMzc2LfIwl5enTp4SEhLB27VpMTU3ZuHEj\n3bp103VZxSY7cSRJw/T1hAcym1LZpq/ZlLmUyjqZTd3Lzs7myJEjHDp0iGPHjhEZGcndu3fVfr2l\npSW1a9fGw8MDDw8P6tSpg4eHB56enlSqVOmVowaSkpLYt28fYWFhbN68mYcPHwJga2vLoEGDGDNm\nDM7OzsU6Rm1JSEigf//+hIeHY2ZmxqpVqwgODtZ1WRpRGrIphGDhwoV8/PHHPH78GHNzc4YMGcKY\nMWNwc3Mrdi1KpZLDhw+zePFi1q1bpxrd06FDB6ZNm0bz5s2Ltf/Hjx9z8OBBDh8+zPHjx4mMjCQ5\nOVnt11tbW1O7dm08PT1xd3enbt26qpxWqFDhpa8VQhAXF8fevXvZtm0bW7duJSsrCwB7e3tGjBjB\nqFGjqFKlSrGOUVuuXr1Knz59OHPmDDY2NoSGhuLv76/rsjRCduJIkobp6wkPZLRHmo4AACAASURB\nVDalsk1fsylzKZV1Mpv66cGDB8TFxXH37l0yMjJ4+PAhQgiMjIywtrbGxsaGKlWq4OjoiIODg8bm\nzXj8+DEbN27kt99+4+jRowAYGxvTp08fJkyYQKNGjTTSjiZs3bqVwYMHk5ycjIODAxs2bKB169a6\nLktjDD2b9+/fp1+/fmzfvh2APn36MGPGDK3dEpScnMy8efOYN2+eagRMUFAQP/zwA66urhprJy0t\njbi4OOLj48nIyFDdFmVsbIy1tTW2trZUrVpVNfpNU9l88OABa9as4bfffuPChQsAmJubExISwscf\nf6w3t0EKIVi5ciWjR48mMzOT2rVrs3nzZr3621FcamdTCKH2o2nTpkKSyirgtChEXkryIbMplWX6\nmk2ZS6msk9mUCnL27Fnx7rvvCmNjYwEIQAQEBIiwsDCRl5ens7quXr0qunfvrqrJ399fxMfH66we\nbTHkbN69e1d4eXkJQFSoUEGsW7eueG9GIaSmpoqJEycKCwsLAQgzMzMxefJkkZmZWWI1aJNSqRQH\nDx4UgYGBqgwoFArRvXt3cfDgQaFUKnVW24ULF0SbNm1Udb311lsiPT1dZ/Voi7rZlCNxJElN+nrV\nArSXzdTUVCIjI4mNjVWtPGFpaYm9vT2urq54eXlRqVIljbcrSYWhr9nU5jkzMTGRqKgorly5wv37\n98nKysLKygp7e3s8PDxo0KAB5cuX10rbkqSuspjNO3fucPHiRa5evUpGRgbZ2dnY2Njg4OCAp6cn\n9evXx9raWittG6Jbt24xe/Zsli5dqhp14OHhwejRo3n33XepWLFiidUxc+ZMFi5cSG5uLtbW1nzz\nzTd88MEHak8CbUgMNZtxcXG0bt2aGzdu4Onpyc6dO7Wy+tqr3L17lylTprBixQoAqlWrxowZM3jn\nnXdKxYpPANHR0fz444+sWrVKdStZ48aNGT16NL179y6xv2OXL1/mu+++Y9WqVQghsLe3Z+bMmQwY\nMKDUvNf/JEfiSJKGoadXLYSGs3n79m3x1VdfiaZNmwqFQqHq8S7o4eHhIUaOHCl27dolcnJyNFaH\nJKlLX7Op6XNmTEyMmDRpkmjQoMErcwkILy8vMXbsWHHgwAGdXtmWyq6yks3z58+LDz/8ULi7u78y\nlwqFQjRr1kxMnjxZnDp1SqdXtvVJWlqamD59unByclK9V2ZmZiIoKEisX79ePHr0SONt5uTkiO3b\nt4tevXoJIyMj1f/PgAEDRFxcnMbb0yeGmM2MjAzRsGFDAYhmzZqJlJQUzbwZxXD8+HHRvHlz1We2\nXbt24tKlS7ouS6MSEhLE559/LhwcHFTHWa5cOdG/f3+xbds2kZWVpfE2nzx5ItavXy86duyoatPU\n1FR8+OGHIjU1VePt6RN1sylH4kiSmvT1qgVoJptXrlxh8uTJhIaGolQqgWf3wzZp0gRPT0+qVKmC\nhYUFjx49IiUlhZiYGKKiop5bxtDe3p7+/fszevRoXFxcilWPJKlLX7OpqXPmuXPnmDRpEn///bfq\n36ysrFTZtLe3x9zcXLUiTHR0NBcvXlRNUghQvXp1Bg4cyIgRIwq1UockFUdpz+bBgweZPHkyx44d\nU/1b+fLlee2113B3d1ctZZyRkUFSUhKXLl0iOjqanJwc1faurq4MHjyYoUOHltioE32Wm5tLaGgo\nS5YsYffu3eT/TilXrhzt27fnjTfewNfXFy8vL0xMTAq9/8TERI4cOcLOnTv566+/VBPJmpqaEhwc\nzCeffEKDBg00ekz6yNCyKYSgZ8+ebNmyBQ8PD44dO6Y3eVEqlfzxxx9MmjSJ1NRUTExMGDt2LF98\n8UWpGnX39OlT1q5dy9KlSzl06JDq321tbXnjjTfo0KEDvr6+1K1bFyMjo0LtW4hnEy0fPnyYsLAw\ntm3bploZz9LSkv79+zN58mRq166t0WPSR3JiY0nSMH094UHxsqlUKpk5cyZffvklWVlZmJqaEhQU\nxHvvvUebNm1US4a+SG5uLqdOnVItxXj58mXg2VKFvXv35rPPPqN+/fpFqkuS1KWv2SzuOTMnJ4dP\nP/2UWbNmoVQqKVeuHH369KFfv374+vpiZmZW4GuzsrI4duwYYWFhrFu3TrVMqqmpKSEhIXzyySdl\n4suQpFulNZuPHj1izJgxLF26FHjWcfPee+/Rt29fmjdv/tLOhUePHnH48GG2bdvGhg0bVEtwlytX\njuHDhzN+/HgcHR2LXFtpEhcXx9q1a1m3bh0nT5587jkLCwvq1atH3bp1cXZ2plq1aqplzo2NjcnO\nzubhw4ckJycTFxdHbGwsFy9e5Pbt28/tx9PTk/79+/P++++Xqffd0LK5dOlSBg8ejJ2dHSdPntSb\niXb/KTU1lU8++YQlS5YghMDJyYk5c+YQFBRU6m77uXr1Kn/++Sfr1q0jMjLyueesra2pX78+np6e\n1KpVi6pVq1KhQgUsLS0xNjYmKyuLzMxMkpKSiIuLU10UTkhIeG4/TZo0oX///gwYMEBvOuxKgryd\nSpI0DD0deiqKkc0HDx6Ibt26qYYqDhgwoMgT+CmVSnHq1CkREhIiTE1NVfvs06ePuHr1apH2KUnq\n0NdsFuecmZiYKHx9fQUgjIyMxJgxY0RaWlqR9qVUKsWBAwdEUFCQ6pYBY2NjMXToUHH37t0i1yhJ\nr1Ias3nt2jXVLY1mZmbiyy+/FA8fPizSvnJzc0VYWNhztwxYWFiI8ePHl/pbBgrr7t27YsmSJaJf\nv37CxcVFrVtKX/SwtrYW/v7+4ttvvxXnz58vs7ezGVI2ExMThZ2dnQDE//73P82+EVpw4sQJ0bRp\n0+cm7I6OjtZ1WVpz/fp18fPPP4vevXs/dztkYR92dnbizTffFD/++KO4fPmyrg9LZ9TNphyJI0lq\n0terFlC0bD558oQOHTpw5MgRKlSowKpVq+jcubNG6rlz5w4//PADixcvJjs7G1NTUz744AM+//xz\n7OzsNNKGJOXT12wW9ZyZlpZGq1atiI6Opnr16qxbt46WLVtqpKaYmBjVBIH5o3smTZrE+PHjXzrq\nTpKKorRl886dO/j4+HD37l08PT3ZuHGjxkabnj17lm+++YbQ0FAAKlSowNSpUxkxYgSmpqYaaaM0\nuX//vmpy91u3bpGUlERaWhpPnjwhLy8PMzMzrKyscHBwoFq1ari5uVG3bl3c3d1L5UTFhWVI2Rw+\nfDgLFy7kzTffJCwszCBGteTl5bF48WKmTJlCeno6pqamfPzxx3z22WdYWVnpujytunfvHpGRkVy7\ndo2bN2+SkpJCeno6T58+JS8vD3Nzc6ysrKhSpQrVqlXD3d2dunXr4uLiUujbsEojORJHkjQMPb1q\nIYqQzby8PBEcHCwAUaNGDa2NlLl165YYMGCAaoLkSpUqiV9++UVOgCxplL5msyjnzKysLNUSmvXr\n1xeJiYmF3oc6oqOjRY8ePVRXwJycnMT//ve/MntVWtKO0pTNBw8eqJY1btWqlXjw4EGh96GO06dP\ni3bt2qmy6enpKbZt26aVtqSyy1CyGRcXJ0xNTYVCoTDI0SwpKSli8ODBqjzXqFFDbNq0SddlSXpM\n3WzK7i5JKoMWLVrE+vXrsbW1JSwsDFdXV620U7NmTZYtW8bp06dp3bo1qampjBo1imbNmrFv3z6t\ntClJhuybb77hwIEDODo6smPHDqpUqaKVdurUqcPmzZvZt28fTZo0IS4ujnfffZfWrVtz5swZrbQp\nSYZs7NixREZGUqdOHf766y9sbW210k7Tpk0JDw9ny5YtuLu7ExMTQ9euXenSpYtq3jlJKisWL15M\nTk4OQUFB1KlTR9flFJq9vT2LFy/m2LFjvPbaa9y5c4devXrRo0cP4uLidF2eZMBkJ44klTEpKSlM\nnjwZgCVLlpTIKgyvvfYa+/fvZ8OGDTg7O3PhwgX8/f3p0aMHV69e1Xr7kmQIrly5wvTp01EoFKxd\nu5YaNWpovc22bdty6tQpli5dSuXKlTl8+DDNmjVjwIAB3L17V+vtS5IhOHr0KL///jvm5uZs2rSJ\nChUqaLU9hUJBYGAgUVFRzJo1S3XBxcvLiw8//JC0tDStti9J+kAIwapVqwAYNmyYjqspHm9vb06e\nPMnPP/+MjY0NW7ZsoV69evz222+qFWElqTBkJ44klTHz5s3jwYMHdOzYkeDg4BJrV6FQEBQURHR0\nNN9++y1WVlaqk9iECRNUSwlKUlk1ffp0cnNzCQkJwc/Pr8TaNTY25v333yc2NpYJEyZgZmbGihUr\n8PDw4Ntvv+Xx48clVosk6aOvv/4agAkTJlC3bt0Sa9fMzIxx48Zx5coVhg4dilKpZP78+bi7uzN/\n/vznliqXpNImf16VqlWr0q5dO12XU2zGxsaMGjWK6OhounfvTmZmJiNGjKBTp07Ex8frujzJwMhO\nHEkqQ3JyclRLok6ZMkUnNVhaWvLpp59y5coVBg4cSG5uLj/++CNubm7MmzdPfimVyqT79++zZs0a\nAD755BOd1FC+fHlmzJhBdHQ0vXr14vHjx3z++ed4eHiwfPlyebVQKpOuX7/O7t27MTc3Z+zYsTqp\noXLlyixcuJBz587h7+9PWloaH374IfXr1yc0NJRn0yhIUumyf/9+AN54441SNRl19erV2bx5M2vX\nrqVSpUrs3r0bLy8v1aTmkqQOvejEEUIQERHBokWL+PHHH1m0aBERERHypCRJGnbo0CESEhLw9PRU\n60q/NrPp6OjI77//zsmTJ2nTpg2pqamMGTOGRo0asXv37mLvX5IMydatW3ny5Ant2rXD3d39ldtr\nM5suLi5s3LiRvXv30qRJE+7evUtISAje3t4cO3as2PuXJEOyfv16hBC89dZbVKxY8ZXbazObDRs2\nZM+ePYSGhuLh4cGVK1fo2bMnHTp0ICoqqtj7lyR9kn++0dTIVH36valQKHj77beJjIzkzTffJC0t\njZ49ezJ+/Hh5MVNSi847cYQQrF27lm3btpGQkMCjR49ISEhg27ZtrFu3TnbkSJIGHTx4EIBOnTq9\nconGkspm/iTHW7Zswc3NjejoaDp27EhgYCDXr1/XSBuSpO8OHToEQOfOnV+5bUlls127dpw+fZoV\nK1ZQrVo1Tp06RcuWLenfvz+JiYkaaUOS9F3+eVNfsqlQKOjevTtRUVHMnz+fChUqEB4eTuPGjfng\ngw/krclSqXHlyhUA6tWrV+x96evvTUdHR8LCwpg1axbGxsbMmjWLN954g3v37umkHslw6LwTJzIy\nkuvXr/+n1zEnJ4dr167JKwuSpEFnz54FwMfH55XblmQ2/zmJ4w8//IC1tTVbt26lQYMGzJgxg9zc\nXI21JUn6KH9FKG9v71duW5LZNDIyon///sTExDBlyhTMzMxYtWoVderUYcmSJfJCi1Tq6et509TU\nlNGjR3PlyhVGjhyJEIKff/6ZunXrsmHDBplNyeDduXMHgFq1ahV7X/r8e1OhUDBu3Dj27dtHlSpV\n2L9/Py1atJCr0UkvpfNOnOPHjxc4bCwnJ0cO3ZYkDUpNTQWgWrVqr9xWF9k0Nzdn4sSJxMbG8u67\n7/LkyRMmTZpEixYtuHTpksbbkyR9oe/ZtLa2Ztq0aURHR9O5c2cePHjAkCFDaN++Pbdv39Z4e5Kk\nD4QQep/NSpUq8csvv3D+/Hl8fX1JTEwkODiYoKAgeTVfMmj5k+pbW1sXe1+G8HvTz8+PM2fO0LRp\nU65fv07Lli1Vo3Ql6d903omTkZFRrOclSVLfo0ePAChXrtwrt9VlNh0dHVm1ahU7d+7E2dmZs2fP\n0qxZMxYvXiyvLkqlUn42raysXrmtLrPp4uLCtm3bWLNmDQ4ODuzbt49GjRqxceNGrbUpSbqSm5tL\nTk4ORkZGmJmZvXJ7XWbTy8uLgwcPsmDBAmxsbNi8eTMNGzZk3759WmtTkrQpfxS2JiY1NpTfm9Wr\nV+fAgQMEBgaSnp5Ohw4d2LJli67LkvSQzjtxbG1ti/W8JEnqK1++PIBa98zrQzY7duxIZGQkISEh\nPHnyhKFDh/L+++/z9OlTrbctSSXJkLKpUCjo06cPFy9epFu3bty/f5+33nqLiRMnkpeXp9W2Jakk\nmZqaYmlpiVKp5OHDh6/cXtfZNDIyYsSIEURGRuLn50dCQgIBAQHMnDlTXgCRDE5+XjTRwaLrbBaG\nlZUVmzZtYvjw4WRlZREUFMSyZct0XZakZ3TeiePt7Y2pqekLnzM1NVXrHmRJktTj6OgIwK1bt165\nrb5k08bGhj/++IOVK1diaWnJsmXLCAgIID09vUTal6SSkJ/NmzdvvnJbfcmmg4MDW7ZsYfbs2Rgb\nGzNz5kx69erFkydPSqR9SSoJhnjedHZ2Zu/evUyZMgWlUsnEiRMZMmSInF9OMij29vYAJCUlFXtf\n+pJNdRkbG7NgwQK++OIL8vLyGDhwIHPmzNF1WZIe0XknjpeXFy4uLv8JlqmpKa6urjRo0EBHlUlS\n6dO8eXMAjhw58spt9S2b/fr149ixYzg5OXHkyBFat25NQkJCidYgSdry+uuvA4aXTYVCwdixYwkP\nD6dixYr89ddfdOzYkQcPHpRYDZKkTYZ63jQxMWHatGls2rQJS0tLli5dSnBwsBzJKhmMOnXqAGhk\n0mF9yqa6FAoFX331FXPnzgVg3LhxfPrpp3JUnQToQSeOQqGgd+/edOvWDUdHR6ysrHB0dKRbt268\n/fbbr1wG+WVu3rzJwoULGTBgAH5+fnh6elKvXj1ef/11+vfvz8yZM7l48aIMg1RmtGnTBoCdO3e+\n8rYHbWazqBo1asTRo0epU6cOUVFRtG/fXjXppCQZstatWwMQFhb2ym31MZtt2rTh0KFDODk5cejQ\nIbp06aKalFKSDFn+edNQs9mzZ0/27NmDnZ0doaGh9OnTR47IkQxCo0aNADh58mSx96WP2VTXmDFj\nWL58OcbGxnz33XeEhISQnZ2t67IkXRNCqP1o2rSp0HdKpVL89ddfolWrVgJQ6+Hu7i5++ukn8fjx\nY12XL+kx4LQoRF5K8qFuNpVKpXB1dRWA2LlzZ5HfC11LSUkR9evXF4Dw9vYWjx490nVJkg7pazYL\nc858/PixKF++vABERERE0d4IPXDz5k1Ro0YNAYiuXbuKnJwcXZck6VBpyGZiYqIwNjYWxsbGIiEh\noWhvhB64cOGCsLOzE4AYPHiwUCqVui5J0iFDyOahQ4cEIDw9PbXzJhiYbdu2iXLlyglAtG3bViQl\nJem6JEkL1M2mzkfiaFJ8fDydO3cmMDCQw4cPY2NjQ1BQEAsWLCA8PJxLly5x8eJFDh06xOLFiwkJ\nCcHBwYErV64wZswY3Nzc2Lx5s64PQ5K0RqFQMHDgQABmzZql42qKzt7enl27dlGzZk2OHz/OoEGD\nePZ3T5IMk6WlJe+88w4As2fP1nE1Refs7MyuXbuoWLEi27ZtY9KkSbouSZKKpUqVKnTt2pW8vDzm\nz5+v63KKrGHDhmzbtg1LS0uWLFki59eQ9J63tzfly5cnJiaG6OhoXZejc126dOHgwYNUrVqV/fv3\n07hxY7n6XFmmTk+PeEHvqL7ZtWuXqFChggBExYoVxZw5c0RGRsYrX5ebmys2btwomjRpohqZExwc\nLDIzM0ugasmQoKdXLUQhs3nv3j1hY2MjABEeHl6k90JfXLx4UVhbWwtALFiwQNflSDqir9ks7Dnz\n6tWrwtjYWBgZGYmoqKjCvxF65NChQ8LExEQAIjQ0VNflSDpSWrJ59OhRAQgrKysRHx9f+DdCj2zc\nuFEAwsTERBw9elTX5Ug6YijZHDJkiADEhAkTNP8mGKi4uDjh5+en+t0aEhJi0KMEpeepm81SMRJn\n7969BAYGkp6eTqdOnYiKiuKjjz7Cxsbmla81NjamV69enDp1ivnz52Ntbc369etp164dycnJJVC9\nJJWsSpUqqa6ODxs2TK1lU/VVvXr1WLRoEfBswreYmBgdVyRJRefq6sqwYcNQKpUMGjTIoOetaNWq\nFdOnTwdg0KBBGlldRJJ0xcfHh+7du/Po0SOGDx/Os+/ZhqlXr16MHTuW3Nxc+vXrZ9DfAaTS7/33\n3wdg6dKlZGZm6rga/VC9enX27t3L1KlTMTMzY9myZbi4uDBixAguXryo6/KkEmLwnThnzpwhMDCQ\nrKwshg8fzvbt21XLQRaGsbExo0eP5uzZs7i4uHD69Gn8/PzkF0+pVBo/fjwNGzbk6tWrjBs3Ttfl\nFEvfvn157733ePr0KYMHD0apVOq6JEkqsmnTpuHk5MSJEyf49ttvdV1OsYwbN46AgABSU1P58MMP\ndV2OJBXL/PnzKV++PH/99RdLlizRdTnFMn36dBo1asT169f5/PPPdV2OJBWoRYsW+Pr6kpaWxk8/\n/aTrcvSGiYkJX375JVFRUXTv3p0nT57w22+/0aBBA+rWrcvEiRPZsWOHXCmyFFMU5mpCs2bNxOnT\np7VYTuFkZ2fTuHFjoqOj6devH8uXL8fI6Pl+KSEEkZGRHD9+nIyMDGxtbfH29sbLy6vAmciTkpLo\n2LEjFy5coGXLluzduxdzc/OSOCRJjykUijNCiGa6ruNFipLNyMhImjVrRnZ2NgsWLGDEiBFaqu7F\nipLNgqSnp1O3bl2SkpL4888/6d27t5aqlvSRvmazqOfMvXv30r59exQKBRs3bqRnz55aqK5gmszm\nrVu3qFevHo8fP+bgwYP4+flpqWpJH5W2bK5evZp3330Xc3Nz9uzZQ6tWrbRQXcE0mc1z587RrFkz\nFAoFFy9exNPTU0tVS/rIkLK5b98+/P39sba2Jjo6GicnJx1VVzBNZrMoLl26xNy5c9mwYQPp6enP\nPefh4UGTJk1o1KgRjRs3pkmTJlStWlXrNUlFo242DboT57vvvuPTTz/F3d2diIgILCwsnnteCMHa\ntWu5fv06OTk5qn83NTXF1dX1pUvKJSUl0bx5c+7cucOgQYMM/qqLVHz6esKDomdz2bJlDBw4ECMj\nIzZv3kxgYKAWqvuv4mSzIEuWLGHIkCHUrl2b6Oho2fFahuhrNotzzpw2bRqfffYZFhYWhIeH07Jl\nSw1X92LayOZXX33F1KlTadGiBceOHdPrpVwlzSqN2Rw1ahQLFiygQoUKHDlyhLp162q4uhfTRjaH\nDRvGokWL6NGjh1zYo4wxtGwGBQWxadMmevbsycaNG/XqPKKNbBZVTk4OBw8eZM+ePezfv59z586R\nlZX1n+2cnJzw9vamXbt2dOrUidq1a5dIfdKrqZtNg72dKj09ne+//x6ABQsW/KcDB56NNPh3oODZ\nB/zatWtERUUVuP8qVaqwZcsWLC0tWbp0Kbt27dLsAUiSHggJCWHq1KkolUqCg4MJCwsrkXaLk82C\nhISEUK9ePW7cuMHy5cs1Vaok6cSUKVMYMmQIT58+pVOnTpw4caJE2tVGNj/++GOqVKnCiRMn2L59\nu6ZKlSSdmDdvnmoexvbt25fYXGzayObUqVMpV64coaGhnD17VlOlSpLG/fTTT1hbW7N582a9u7Cu\njWwWlampKe3bt+f777/n2LFjZGRkcPbsWX7//XfGjBlD69atsbGxIS4ujg0bNjBq1ChcXFxo0qQJ\n06dP5+7duyVWq1Q8BtuJs3TpUh4+fEhAQAABAQEv3Ob48eP/CVS+nJwcjh079tI2mjRpwtSpUwEY\nPXo0T58+LVbNkqSPvvjiC0aPHk12djY9e/Zk69atWm+zuNl8ERMTEz777DMA5syZI+fGkQyaQqFg\nwYIFBAcHk5GRQYcOHTh69KjW29VGNq2trZkwYQJg2MunSxI8m0NxzZo1tG3bloSEBNq2bculS5e0\n3q42suno6MiwYcMA5JLjkl5zcnJiwYIFAHzwwQecOXNGxxX9P21kU1PMzMxo0qQJAwcOZO7cuRw4\ncID79+9z8eJFFi1axFtvvYWtrS3nz5/nk08+wdnZmaCgIPTpzhvpxQy2E2f16tXAs86VgmRkZLx0\nH696HmDs2LHUr1+fq1ev8ttvvxWuSEkyAAqFgnnz5jFmzBiys7Pp1auXKl/aoolsvshbb72Fk5MT\nly9f5sCBA0XahyTpCxMTE1avXk3v3r3JzMykQ4cO7N69W6ttaiubgwcPxtramn379slV5CSDV65c\nObZv30779u1JTEykdevWWv/Ro61sfvjhhxgZGbF27VpSU1OLtA9JKgn9+/dn6NChZGVlERgYyK1b\nt3RdEqC9bGqLkZER9erVY8iQIaxfv57k5GS2bNlCUFAQCoWCTZs20bx5c4KDg7l586auy5UKYJCd\nOMnJyZw7dw4LCwveeOONAreztbV96X5e9Tw8G5aWv0zqjBkzyM7OLlyxkmQAFAoFc+bMYdKkSapl\nR3/99VettaeJbL6IqakpISEhAKxYsaJI+5AkfWJiYsKqVasYMGAAjx8/pmvXrmzYsEFr7Wkrm+XL\nlyc4OBiQ2ZRKh3LlyrF161Y6d+5Mamoq/v7+7N+/X2vtaSubtWrVokOHDuTk5LB27doi7UOSSsq8\nefNo3bo18fHxvPHGG6SkpOi6JK1ls6SYm5sTGBjIhg0buH37NhMmTMDCwoINGzZQr149Zs6cSV5e\nnq7LlP7FIDtxjhw5AoCvry+WlpYFbuft7Y2pqekLnzM1NcXHx0et9rp06YKXlxcJCQls2bKl8AVL\nkgFQKBRMnz6d6dOnI4Rg5MiR/PDDD1ppS1PZfJH33nsPgI0bN8pOV6lUMDExUd3PnpOTQ+/evbU2\n71NJZHPNmjUUZlEFSdJXlpaWhIaG0rdvXzIzM+nUqZPW5pYrqWxKkj4zNzdny5YtNGzYkNjYWPz9\n/UlOTtZpTdrMZklzdHRkxowZXLlyhT59+vDkyRMmTpxI165d/7PqlaRbBtmJEx0dDUCjRo1eup2X\nlxcuLi7/CVb+bOENGjRQqz2FQsGgQYMAWLlyZREqLhuUSiXZ2dnyy7mBYivS6gAAIABJREFUmzRp\nEr/99hsKhYLJkyfzxRdfaLwNTWXzRdzd3fHy8iIzM1OrV0UNiVKpJCsrS2bTgBkZGTFnzhzVROQh\nISFaGS2nzWz6+flhb2/PjRs3SmQOEUMgz5uGz9TUlJUrVzJs2DCePn1Kjx492Lhxo8bb0WY2u3bt\niqmpKUePHuXevXvFLbVUyMvLkxeC9JSdnR27du2ibt26REVF0aZNG+Lj43VWjzazqStOTk6sWbOG\nsLAwKlWqxM6dO2nWrBmxsbG6Lo3c3NwC5yAqS0x0XUBRXL9+HQA3N7eXbqdQKOjduzdRUVGqGbpt\nbW3x8fGhQYMGhVrurU+fPowbN46dO3eSmZmJjY1NsY7BkN27d4/w8HBOnTrFhQsXuHnzJnfv3uXJ\nkyfAsx8btra2ODk54eLiQuPGjWnevDl+fn6UL19ex9VL6hg2bBhWVlaEhITwzTffYGFhwZQpUzS2\nf01m80W6detGZGQku3bteuktl6VNfHw84eHhnD59moiICG7dukVCQoJqUnZjY2PKly9PzZo1cXV1\npXHjxrz++uv4+vpiZWWl4+qlV1EoFHz55ZdYW1szfvx4Ro4ciYWFBQMHDtRoG9rKprGxMV26dGH5\n8uXs2rWL+vXra6xufXfz5k3Cw8M5c+YMkZGR3L59m8TERNWPRBMTE+zs7HB2dsbNzY3XXnuN119/\nHR8fH8zNzXVcvfQqxsbG/Prrr1hbWzNr1iz69OlDaGgoXbp00Vgb2symra0tbdu25e+//2bPnj30\n6dNHY3XrMyEEsbGx7N27l7NnzxIVFcWdO3dISkoiNzcXeDYxbIUKFahVqxZubm40bdoUb29vmjdv\njomJQf6MKhWqVq3K/v37CQgIIDIykpYtW7J79248PDxKvBZtf6fVpU6dOnHmzBl69uzJuXPn8Pf3\n58CBA7i6umq1XSEEERERqmXSL126RFxcHMnJyapbu8zNzalUqRK1atXCw8ODZs2a4e3tTZMmTTAy\nMshxKoUjhFD70bRpU6EP3n77bQGINWvWlGi73t7eAhBbt24t0Xb1QXp6uvj5559FixYthEKhEMAL\nH6ampgU+Z2xsLHx9fcXcuXNFcnKyrg+p0IDTohB5KcmHtrK5Zs0a1f/3vHnztNKGNuzYsUMAwtfX\nV9elaF1SUpKYMWOGaNSoUYHZA4SJiUmBz5mZmYn27duLhQsXivT0dF0fUqHpaza1ec6cM2eOAISR\nkZFYu3at1trRtCVLlghABAcH67oUrbt9+7aYOnWq8PT0LHI2y5UrJ7p06SJWrlwpHj58qOtDKrSy\nlk2lUinGjx8vAGFubi727dunlXa04euvvxaA+Oijj3RditbFxMSIiRMnCmdn5wKzp1AohLGxcYHP\n29raiqCgILFx40bx9OlTXR9SoZWWbN67d0/1+8ze3l6cOHGi8G+G9EoPHz4Ufn5+AhA1a9YUcXFx\nWmnn/PnzYvTo0aJq1aoFZs/IyOil2axUqZLo16+f2LFjh8jNzdVKndqkbjb14qRXWIGBgQIQmzZt\nKtF2P/vsMwGICRMmlGi7upSSkiI++eQTYW1trQqHubm5CAgIEFOnThVbtmwRly5dEg8ePBBKpVII\nIUROTo5ISUkRZ86cEX/++aeYMGGC8PX1fS5wJiYmok+fPuLo0aM6PkL16esJT2g5m/k/uhQKhdi2\nbZvW2tGke/fuqX4A5eXl6bocrbhz544YPXq0MDc3V+XKyspKdOnSRXz33Xdi+/btIiYmRmRmZqqy\nmZ2dLZKSksTJkyfFypUrxZgxY0SzZs2e65i1sLAQgwYNEufPn9fxEapPX7Op7XNm/o8uc3Nzg/ni\nGhERIQDh6uqq61K0JiYmRgwYMOC5c1758uVFr169xMyZM8Xu3bvF1atXxaNHj1TZfPr0qYiPjxdH\njx4Vv//+uxg5cqTw8vL6z4/GDz/8UMTGxur4CNVXFrOpVCrF8OHDBSDs7OwM5v9r586dAhB+fn66\nLkVrzp07J3r16vVcrhwcHETfvn3F3Llzxd69e8WNGzfEkydPnsvmnTt3xKFDh8TChQvF4MGDhYeH\nx3P7sLe3F1OmTBF37tzR8RGqrzRl8+HDh6JTp06q7307duwo9D6kV8vIyFB1mLVq1Urk5ORobN+H\nDh0SHTp0eC5X1atXFwMGDBC//PKLOHjwoLh165bIysoSQjz7O/v48WNx8+ZNsW/fPvHzzz+LAQMG\n/Kdj1snJSUybNk2kpKRorFZtK9WdOO+8844AxMqVK0u03c2bNwtAdOzYsUTb1YXc3Fwxd+5cYWtr\nqwpCu3btxOrVq8WjR4+KtM8HDx6ItWvXim7duj335bZVq1Zi165dqhOmvtLXE54ogWx+9dVXAhA2\nNjbi4sWLWm1LUxwcHARgUF+q1PH06VMxdepUYWFhocpQ165dRWhoaJGvBqakpIhly5YJf3//505+\nb775pjh27JiGj0Dz9DWb2s6lUqkUw4YNE4CoWrWq1q6MadLTp0+FkZGRMDIyUn0ZKy0yMjLEmDFj\nVOc3Y2Nj0bt3b7F79+4if9mNj48Xv/76q+qLc36HenBwsIiIiNDwEWheWc1mXl6e6N69uwCEp6en\nQYxwvHnzpgBElSpVdF2KxiUnJ4uQkJDnLla8//774vDhw0W+0HPjxg0xa9Ys0bBhQ9V+TU1Nxfvv\nvy+uXbum4SPQvNKWzezsbPHee++pLhSX9G/EsiI5OVlUq1ZNAOLTTz8t9v5u3bolevToocqQjY2N\n+OCDD8SZM2eK9LtQqVSKy5cvi2+++Ua4u7ur9mtpaSnGjBkj4uPji12ztpXqTpxRo0YJQMyePbtE\n2718+bIARO3atUu03ZJ2584d4evrq/rgd+zYURw/flyjbdy+fVtMnjxZVKhQQdWOv7+/OH36tEbb\n0SR9PeGJEsimUqlU3cZYt27dInfklSQfHx8BiP379+u6FI2Jjo4WDRo0UGUmODhYREZGarSNmJgY\n8cEHH4hy5cqp2unRo4eIjo7WaDuapK/ZLIlzZnZ2tmjTpo1WroxpS/6VsitXrui6FI05ceKEqFWr\nlmqo96BBgzT+Q+7cuXNi4MCBwszMTNWZM2DAAHH79m2NtqNJZTmbGRkZqr/Xb731lt5fqMrLy1N9\ntgzx1r2C7Nq1S3VRx8zMTIwdO1ajP+SUSqU4cuSIePvtt4WRkZGqM+eDDz7Q66kDSmM2lUqlmDhx\nouq7y2+//VbkfUkF279/v+pizIULF4q8nz///FPY2NgIQFhbW4svvvhCpKWlaazOvLw88X/snWdY\nU9nXxVdC7wooClYQVARBQMWKvQBixzbK2Huvo45lrGNvY0FwGFTUQcUCNuwVlQGlKCpFVAQVUIoQ\nCMl5P/jmzvDHEki5Kef3PHzhhn1WNCvn3n322efixYvE09OzXDJnyZIlJC8vT2rjSBuVTuJs2bKF\nACBTpkyR67g5OTlMWbSqcvnyZWJubk4AEEtLS3LmzBmZjpefn0/Wr19PqlWrxhhsxIgRClk9oagT\nHpGTNz9//kyaNm1KAJCJEyfKfDxJEWX2jx8/zrYUqRAaGkoMDAwIAGJra0tu3Lgh0/Gys7PJ4sWL\nmWSOhoYGmTx5skKWpCqqN+U1Z75//57Url2bACArV66Uy5iS0LJlSwJAKaq8xGH37t1MP7gWLVqQ\n2NhYmY735s0bMm3aNGZMHR0dsmjRIpKfny/TcauCunszOTmZeUgJCAiQy5iSYGVlRQCQ9PR0tqVI\njFAoJCtXrmS2C3fq1EnmieMXL14QPz8/ZkwjIyOyfv16heyZo8re3LBhA/NMsX37donjUSoyffp0\nAoB079690n/L5/OZggzRQmFGRoYMVP7Lo0ePylX81KhRg+zevVshe+aodBLn3LlzzKqjPOHz+czq\nlypy9uxZZhWmZ8+ecl1ByMnJIfPmzWPG19fXJytXrlSoig9FnfCIHL356NEj5v9I0fccjx49mgAg\n+/fvZ1uKxBw4cIC5KRw2bBgpKCiQ29hv374l48ePZ1YYq1WrRrZt20ZKS0vlpuFHKKo35TlnRkZG\nMsm2mJgYuY1bFXr06EEAkHPnzrEtRWLWrFnD3BROnz5drlvEkpOTyZAhQ5jxa9euTYKCghSqDxj1\nJiEHDx5kVppfvnwpt3GrgqhySJl6on0NoVDIPGRyOByycuVKuT6sPX78mPTq1Yvxpo2NDQkLC1Oo\naixV9+auXbuYf/+goCCpxKT8S3Z2NjExMan0gkxpaSkZPHgwUxn3xx9/yNUXd+7cIW3btmU+G82b\nNydXr16V2/jioNJJHFFFjI6Ojlyz2zwejymTVDXOnj3LrOpNnz6dtZvAtLQ0MmjQIMZcdevWJcHB\nwQpxU6qoEx6RszfXr1/P/N8o4sqviHHjxhEAxN/fn20pEhEYGMgkcNasWcPaTWBCQgLp1q0b483G\njRuTU6dOKcRNqaJ6U95z5owZMwgA4uzsrNDbqkQNKJWlUfq3WL16NfOQGBgYyJqOqKgo0qpVK8ab\nrq6uCrONlHrzC6L7mp49eyrEd+a3EJ1yKOtqMlkiFAqZVX5tbW2ZV5R/j0uXLhF7e3vGm506dVKY\ntgHq4E3RKY4aGhqsfg5UlUWLFhEAxNfXV6zX8/l8MnDgQAJ8adR/584dGSv8OkKhkISGhpJ69eox\n3uzbty9JSkpiRc//otJJHEIIc2pDZGSk3MYUJY+MjY3lNqY8SEhIYLZpzJ49WyFuMK5du0acnZ0Z\nc7m4uJCIiAhWtSnqhEfk7E0+n09cXV0JADJ37ly5jVtZRE0MlaGE/VvcvHmTaZK6YcMGtuUQoVBI\nTp8+TRo1asR408PDg9y6dYtVXYrqTXnPmYWFhUxfFnn3jKsMqlCJExoayvS/CQ4OZlsOEQgEJDg4\nmGk4CYD06dOH9Ydx6s0vZGVlMT0Ajx49KtexK0OzZs0IAIn6XLDNjh07mIVeRagYLi0tJTt37iSm\npqZM0nfEiBGsn1qmLt5csmQJUwmnLAdzKAtv3rwhGhoaRENDg2RnZ//w9QsXLmTakijCiZpFRUVk\n9erVzDOwpqYmmTRpEustPVQ+iSMy5YQJEyr9t0KhkDx+/Jjs27ePbNy4kezbt488fvz4hwmC2NhY\nAoDY29tXVbbCkZ+fzxyVOHz4cIVI4IgQCAQkKCiI2aMNgLRq1YqcOnWKlcocRZ3wCAvejI6OJhwO\nh2hoaEj1hJSqevNr+Pj4EADk5MmTUtMnT96+fUtq1apFAJB58+axLaccJSUlZPv27cxNKQDStWtX\ncuXKFVa+QxTVm2zMmREREcwNqzRPq5KmN93c3AgAqTfMlxdPnz4lhoaGBADZunUr23LK8fnzZ7Jq\n1SrmplTUb4CtG2bqzX/x9/dntr1Js6mmNL0p6q3F9kNMVblz5w7R1NQkAMixY8fYllOO3NxcMm/e\nPKbqXUNDg4wcOZIkJCSwokddvCkUCsmwYcMIANKoUSO5nhQnTW8qKl27diUAyKFDh777upMnTzKf\ne0WpFBWRmZlJJkyYwLQN0NHRIZMnTyapqams6BHXm1woKUOHDgUAHDlyBJ8+fRL77wghOHbsGMLD\nw5GZmYnPnz8jMzMT4eHh+Pvvv/Hl3+7rxMfHAwAaNWokmXgFYsGCBXj+/DkcHR3h7+8PDofDtiQG\nLpcLPz8/PH/+HJs2bYK5uTkePHiAfv36wcHBAbt370ZhYSHbMtUSV1dXTJkyBQKBAFOmTIFQKJQ4\npiTe/BqZmZkAgJo1a0qsjQ0mTZqErKwsdOrUCevWrWNbTjm0tbUxY8YMpKSkYNmyZTAyMsKVK1fQ\ntWtXtGzZEsHBwSgpKWFbplri6emJ/v37o7CwELNnz5ZKTOrNfxEIBBg1ahQKCwsxdOhQzJw5k21J\n5dDX18fSpUuRkpKC2bNnQ1dXF6dOnULr1q3RqVMnnDhxAmVlZWzLVEvGjh0Ld3d3ZGZmYvny5VKJ\nKU1v8vl8fPjwAQBgbm4uFX3ypLi4GCNHjkRZWRlmz54NX19ftiWVo3r16ti4cSOeP3+OsWPHAgAO\nHjwIBwcHeHl54cKFC1K5l6KUh8PhICAgAM7OzkhOTsa4ceMqPWdVBWnPm4qKl5cXAODy5cvffM2H\nDx8wbtw4AMDvv/8ODw8PuWgTl1q1amHfvn1ISEiAr68vSkpKsGfPHtja2sLX1xe3b99WyP8vpU3i\nODg4oEuXLigoKMDevXvF/rv4+HikpqaCz+eX+z2fz0dKSgoSEhK++bdXrlwBAKl++AghiIuLg7+/\nPzZt2gR/f3/ExcXJ5cMSHR2Nffv2QVNTEyEhITAwMJD5mFVBX18fc+fOxcuXL7Ft2zbUqVMHT58+\nxdSpU1G7dm1MnDgRMTExbMtUO1avXo2aNWvi9u3b+OuvvySOJ4k3/xdCCJ4+fQoAaNy4cZX0sOnN\niIgInDlzBsbGxjh06BA0NTVlPmZVqFatGlauXIn09HSsXr0a5ubm+Oeff+Dn5wdLS0vMnj0bSUlJ\nbMtUO7Zt2wZ9fX2Ehobi4sWLEseTpjfz8/ORkZEBHR0d1KtXr0p62PRmYGAgHj58CCsrK+zbt0+h\nFj7+i4WFBbZs2YK0tDQsXLgQRkZGuHHjBgYNGoR69eph6dKlSE9PZ1umWsHlcrF7925wuVzs2LED\njx49kjimNL2ZkpKCsrIyNGjQALq6upXWwqYvgS8Ph6mpqWjevDl+//13uYxZFRo0aICAgAAkJydj\n6tSp0NXVxblz59C7d2/Y2tpi3bp1yMrKYlumSqGvr48TJ07AyMgIJ06cwIEDB2Q+pjS9KSmy9Gbr\n1q0BALGxsd98zeLFi5Gbm4uuXbtizpw5Eo8pK5o2bYpjx44hMTERfn5+AIDQ0FB06NABjo6O2L59\nOz5+/Miyyn9R2iQOACxcuBAAsGnTJrGrcaKioioYSgSfz8e9e/e+eq2kpAQREREAgG7dulVBbUXY\nztIuXrwYhBDMnDkTDg4OMh1LGhgYGGDmzJlITU3F0aNH0a5dOxQWFsLf3x+urq5wdXXF3r17kZ+f\nz7ZUtaBatWrYvHkzAGD+/PnIycmRKF5Vvfk1UlJSUFhYiJo1a1ZpRZFNbwqFQixatAgAsGLFClhZ\nWclsLGlRvXp1LFmyBK9evUJgYCCcnZ2Rm5uLbdu2oWnTpujYsSMOHjyI4uJitqWqBfXq1WNW+qdN\nmwYejydRPGl6U/Tg2rRpU2hoaFRaC5veLC4uZv5dN2/eDGNjY5mNJS1q1aqF9evX482bN9ixYwfs\n7OyQmZmJNWvWoGHDhujVqxdOnDjxzf9finRp0aIFpk2bBqFQiMmTJ0tceSFNb4oewpo1a1ZpHWzf\nz3748AEbN24EAOzatQtaWloyHU8aNGjQALt27cLr16+xbt061K1bF6mpqVi8eDHq1q2LgQMH4sKF\nCxAIBGxLVQmsra2xe/duAMCsWbNknsSWpjclQdbedHJyAgA8efLkq99nSUlJCAwMhKamJv744w+F\nXfj4L/b29ggKCsLLly+xZMkS1KxZE4mJiZg1axYsLS0xcuRI3Lx5k/XqHKVO4nTv3h0dO3ZETk4O\nVq5cKdbf/OgB/1vXT58+jezsbDRv3hyOjo6V1vo12MzSRkVFITIyEkZGRli8eLHMxpEFWlpaGDJk\nCG7fvo3ExETMnDkT1atXR0xMDCZPnozatWtj/PjxzPY3iuwYMWIEOnfujJycHCxYsECiWFX15te4\nevUqAKBDhw5V0sKmN0+dOoWEhATUrVsXU6ZMkdk4skBPTw9jxoxBTEwMHj58iPHjx8PAwAC3bt3C\nqFGjULt2bcyaNQspKSlsS1V5Zs+ejWbNmiE5ORlr166VKJYsvNmxY8cqaWHTmwEBAcjKykKLFi0U\nbqvGjzA2Nsb06dORlJSE69evY/jw4dDW1sbFixcxaNAg1KlTB0uWLEFGRgbbUlWeVatWoXbt2oiK\nioK/v79EsaTpzWvXrgGo2rzJdtXBli1bUFRUBG9v7yrP+2xhbm6ORYsWIS0tDefOnUPfvn1BCMHJ\nkyfRu3dvWFtbY+3atcjOzmZbqtIzYsQIDBw4EIWFhRg/frxMH8Kl6U1JkLU3DQwMYGJiAj6f/9Uq\nlbVr14IQgjFjxlS5Mp4t6tSpg9WrV+P169c4fvw4unfvDh6Ph0OHDsHDwwNNmzbFjh07UFBQwIo+\npU7icDgcbN26FVwuF9u3b0dkZOQP/+ZHK2dfuy4UCpnSzAkTJkgti8hmlnb79u0AvqzSmpqaymwc\nWWNvb49t27bh7du3OHToEDp16oSioiIEBASgefPm6NWrF27evMm2TJWFw+Fg9+7d0NbWxoEDByTa\nulEVb36LEydOAPiS6K0KbHpz27ZtAL5UGuro6MhsHFnC4XDg5uYGf39/ZGZmwt/fHy1btkReXh62\nb98OW1tbDBo0iG6DlCFaWlrMVuN169Z9t9T5R0jLm4QQpfUmIYSZN3/99VelWE38GhwOBx4eHjh8\n+DAyMjKwdetW2Nvb4/3791i7di0aNGiA0aNH022QMsTY2Jj5LC1YsECiigBpebO0tBSnT58GUDVv\nsjln8ng87NmzB8AXbyorGhoa6N27N06dOoVXr14x1XKvXr3CkiVLUK9ePcyYMQOvXr1iW6rSIrpn\nNTMzQ2RkJIKDg2U2ljTvaSVBHt40MzMDAOTm5pb7/fv373HkyBFoaGgwFebKiLa2NgYOHIhLly4h\nJSUFixcvRu3atfHs2TPMnDmTWQR5//69XHUpdRIHAFxcXLB8+XIQQjBixIgfriK5u7t/s8xSS0sL\nbdq0qfD7gIAAxMTEwNLSEqNHj5aKboC9LG1+fj5OnToF4EvzVFVAV1cXI0aMwLVr15CUlITp06fD\nwMAAFy9ehIeHBzp37ozo6Gi2ZaokTZo0YSrhxo4dW6lG4/+lKt78Gi9fvkRkZCR0dHQwePDgKmlh\ny5svX77ErVu3oKenh1GjRslkDHljZGSE8ePH48GDB4iNjcXo0aOhpaWFEydOwNXVFX379qUPjDKi\nffv2mD59OsrKyuDn51flZtPS8uaDBw+QkJCAmjVrokePHlXSwpY3o6KikJKSAktLS/j4+MhkDHlj\nZmaGWbNmISEhAbdv38bgwYMhFAoRFBQEe3t7jBw5kj4wyohBgwZhwIABKCgowJgxY6q8rUpa3gwP\nD8f79+/RrFkztGjRotI62Kw6iIiIQF5eHlq0aIFWrVrJbBx5YmlpicWLFyM5ORkXL15E7969UVxc\njJ07d6JRo0aYNm0a04SaUjlq1qyJrVu3AgDmzJkjswdvaXlTUuThTVFF0/9ukT569CjKysrQu3dv\nNGzYUOJxFAFra2usWbMGr169wsmTJ9GhQwfk5+cziyCLFy+WW5WV0idxAGDJkiXo0qULPnz4gG7d\nujEnX3wNR0dHWFtbVzCWlpYWbGxsKvSGiY2NxaxZswB82QOvr68vNd1sZWnPnz8PHo+HDh06VLmx\npCLTuHFj7NixA+np6VixYgWqVauG69evo2XLlpgwYUKVkwyUbzNv3jy0bt0aGRkZVe78X1lvfout\nW7eCEIKBAwdWucqMLW+GhYUBAHx8fGBkZCSTMdjE2dkZBw4cQFpaGubOnQt9fX2cOXMGjo6OWLhw\nIYqKitiWqHKsW7cONjY2iI+Px/z586sUQ1re3LRpEwDAz88P2traVdLCljdFFURDhw6tUi8fRYbD\n4aBdu3b4+++/8fz5c0yYMAGampo4dOgQGjdujPXr19OeOVKGw+Fgz549MDc3x9WrV7Fhw4YqxZGG\nNwkhjDfHjRtXpSozNqsORN4cMWKEzMZgCy6Xix49euDcuXN4/Pgxhg0bhrKyMvzxxx+wtbXFvn37\n6IlWVeCnn35Cjx49kJubixkzZshkDGnNm5IiD2+K7t3+t3pclb2pqamJ/v374+bNm7h79y68vb1R\nXFyMdevWwc7ODseOHZN5zxxOZQZwc3MjilrNkJ2djS5duiA+Ph6NGzfGhQsX0KBBg6++lhCChIQE\n3Lt3D/n5+TA2NkabNm3g4OBQbvJKS0tDp06d8OrVK4wePRqBgYFSLaGOi4tDeHj4V2+OtLS00KdP\nH6n13/kv48aNQ2BgINavX880h5YEQgji4+MRFRXF/Hu6u7vD0dFRIUrOP336hLVr12Lbtm3g8/mo\nVasWAgMD4enpWak4HA7nH0KIm4xkSoQieDM5ORmurq7Iz8/Hxo0bMW/evErHENeb3yIjIwM2NjYo\nKSnB48eP0bx586q8Fda86enpifPnzyM4OBgjR46UOJ6ie/Pdu3dYvnw5/P39QQiBtbU1Dh48iLZt\n21YqjqJ6UxF8CXypgGnfvj34fD4OHz6M4cOHVzqGpN6Mi4uDk5MTdHR0kJqaCktLy6q8Fda86eTk\nhLi4OFy5cgVdunSROJ6iezMtLQ2//PILjh07BgBo3rw5Dh8+XOkHD+rN7xMREQFvb29wuVxcunQJ\nXbt2rXQMSb158eJF9OrVC2ZmZkhLS6vSAgJbvhQKhahVqxY+fPiAp0+fokmTJhLHVHRvJiYmYt68\nebhw4QKALxWXhw4dQv369SsVR929mZaWBgcHBxQVFSEsLAz9+vWT+hiSelMayNqbPB4Penp60NDQ\nAI/HY05TLSgogJmZGQQCAbKzs1G9evUqjyFC0b15//59zJkzB3fv3gUAeHt748CBA6hRo0al4ojr\nTZVJ4gBfEjldu3ZFXFwcTExMsG/fPgwZMqRKsW7evImBAwciOzsb7u7uuHbtWpWOXPweoo7h/9tw\nSpSl9fX1lcmH0tbWFsnJyYiOjoarq6tEsdh6D1XhyZMnmDBhAu7cuQPgy8k/v/76K7hc8QrSFHXC\nAxTHm6dOnUL//v3B5XJx6tQp9OnTR25jE0LQp08fREREYNCgQQgNDZUolrw/10KhECYmJigsLERG\nRkaVH3JFKJM379+/zzQj19LSwrZt2zB58mSx9SmqNxXFlwCwZ88k+jntAAAgAElEQVQeTJkyBbq6\nurh69arcSrmBL/vu27Vrh4cPH2LGjBlMP5CqwMbn+uPHjzA1NYWuri4+ffokca8qZfJmZGQkJk6c\niLS0NBgYGODAgQOVaupMvfljli5dijVr1qB69eq4e/euVBIR4lJQUABnZ2ekpqZKtLDH1mf6yZMn\naNasGaysrPD69WuJx1AWbxJCcPz4cUyfPh3v3r2DmZkZjh49WqnTc6k3gR07dmDmzJmoVasWEhIS\nmN4uqoSsP9MJCQlwdHREw4YNkZqayvw+MjISPXr0QKtWrXD//n2J3gOgPN4UCoUICAjAggULkJeX\nh7p16+LkyZNwcxPfauJ6UyW2U4kwNzfHtWvX4OPjg7y8PAwdOhTe3t7MkabikJOTg1mzZqFz587I\nzs5Gr169cOHCBakncIAv5bRDhgxBnz59ULt2bRgYGKB27dro06ePzD6MeXl5SE5Ohra2dpWrFP4L\n2ycSVAZ7e3vcvHkTa9asAYfDwYoVKzBs2DCUlpayLU1l6NevH5YvXw6hUAhfX1/cuHFDbmPv2bMH\nERERqFatGrZs2SJRLDa8+eLFCxQWFqJOnToSJ3AA5fJm69atER0djVmzZoHP52Pq1KmYMWMGLROX\nIpMmTcL48ePB4/Hg5eUl19P7Vq5ciYcPH6JevXpinyT5LdjwpqgptKiSSFKUyZvdu3dHfHw8fvrp\nJ3z+/BlDhgzBmjVrWD9aVZVYuXIl+vTpg48fP6JHjx4yP/r4v8yYMQOpqalwcnJiWgdUBTZ8CYBp\njt+qVSupjKEs3uRwOBg8eDCePHmCXr16IScnB7169UJAQADb0pSKadOmoUOHDsjKysLkyZNV8ntN\n1t4UNUb+335U//WmNFAWb3K5XEyYMAEJCQlwd3fH69ev0aFDB6ZxvDTRlHpEljE1NcWpU6ewd+9e\nLFy4EBEREYiIiIC7uzuGDx+Ojh07wsHBodye9vfv3+Pu3bsIDQ3FyZMnwePxwOVysWjRIqxevVqm\n+985HA4cHR1lUmb6NRITEwEAzZo1+2bDrcogTtdzeb03ceByuVi8eDFcXV3h6+uLv//+GzweD6Gh\noVXu0UApz/Lly5kTiTw9PREWFlblJqbiEhkZydyA7tu3D3Xr1pU4pry9KXqodnZ2lko8ZfOmtrY2\ntm7dCjc3N4wZMwa7du0Cj8fDvn37xK6Wo3wb0akc7969w5kzZ9C5c2ecP38eLVu2lOm4hw8fZhLn\nBw8eRLVq1SSOyZY3nZycpBJP2bxpYGCA4OBguLq6Ys6cOVi6dClKSkrw22+/sS1NJdDQ0MDRo0fR\no0cP3LlzBx4eHrh06RLs7OxkOu6mTZsQFBQEXV1dhISESJyglLcvATpvmpqaIjw8HL/++ivWrVuH\n8ePHg8/nY/LkyWxLUwq4XC6CgoLg5OSE0NBQ9OzZE2PHjmVbltSRpTcvX74MABW2wav7vFmnTh1c\nv34dU6dORWBgIAYNGoRjx45hwIABUhtDJe+MORwOJk+ejBcvXmDOnDmwsLBAVFQUZsyYAWdnZ+jp\n6cHS0hLW1taoXr06LCws0L9/f4SEhIDH46FXr16Ijo7GunXrVK6BoajUzdbWVirx2DyRQBJ69uyJ\n69evw9TUFGfOnMHPP/+skhl4NhA9LP78888oKiqCp6cn/P39ZTbe5cuX4ePjAz6fj1mzZlWq1F+R\nEHmzUaNGUomnrN4cMWIEzp07Bz09PQQEBFS5GS+lIpqamjh27Bi8vLyQk5MDDw8Pppm2LDhy5Ahz\nytqGDRvQsWNHmY0lS+i8+eV7fdasWcxxsatWrZK44pHyL/r6+syCY3p6Otq0aSPTStZt27Yx360B\nAQGwt7eX2ViyhM6bX5KAa9euZbapTpkyBSEhISyrUh6sra2xe/duAMD06dMVpqJDGSgoKMDZs2cB\noMKpjdSbXxo979+/HwsXLkRZWRmGDh3KJL2kgUomcURYWFhg8+bNSElJweHDhzFs2DA0aNAAfD4f\nmZmZSEtLw6dPn6Cvr49OnTph5cqVSE1Nxfnz56t0xKIy8Pr1awCodAO0b8HmiQSS0qJFC0RGRsLI\nyAhHjhyp8ukQlIpoaGggMDAQCxcuhEAgwMSJEzFs2DDk5ORIbQyhUIgtW7bA09MTPB4P48ePx+bN\nm6UWX96IjvKl3gS6du2K06dPQ0tLC1u2bMHBgwfZlqQy6OrqIiwsDD///DOKi4sxYMAATJ06FZ8/\nf5baGHw+H0uWLMHw4cMhFAqxfPnyKjU6VxTovPkvQ4YMQXBwMIAvpxJeunSJZUWqg4mJCSIjI+Ht\n7Y3c3Fx07doVv/76q1S3fBcXF2PSpEmYPXs2AGDv3r1KfXIMnTf/ZcaMGdi4cSMAYOzYscw2UMqP\nGTlyJPz8/FBcXIw+ffrQ49vFJCgoCMXFxWjfvn2Fw4TovPkFDoeDdevWYfbs2eDz+fD19UVaWppU\nYqt0EkeEgYEBhg8fjpCQEKSlpaGoqAivX7/GixcvkJOTg4KCAly7dg3Lli1TmXPsv0V2djYAoGbN\nmlKJ5+7u/s1tWVpaWnJtnlkVXFxcmBWLxYsX4+bNmywrUh24XC7Wr1+PP//8E/r6+jh69CgcHBzw\n559/oqysTKLYz58/h7e3N+bOnQs+n4+5c+di7969Sr3tRuRNCwsLqcRTdm92794du3btAgBMnDgR\nT548YVmR6qClpYUDBw5g48aN0NLSwu7du9G8eXOcOHFC4j5EsbGx8PDwwNq1a8HlcvH7779j+fLl\nUlLODnTeLM/w4cOxfPlyEEIwfPhwvH37lm1JKoOhoSHCwsKwcOFCCIVCrF69Gi1btsSlS5ckrha+\ndesWWrZsiX379kFHRwd//vknJk6cKCXl7EC9WZ558+Zh3Lhx4PF4GDhwoEJWJygqe/bsQcuWLfHy\n5Uv069cPxcXFbEtSaEpLS5mk4Zw5c8pdI4TQe9r/wOFwsGnTJnh7e+Pjx48YPHiwVJLzyvvEIwF6\nenqoU6cOGjVqBFNTU6V+8Kssubm5ACCVo94AwNHREdbW1hWMJeoWXtnjSNnA29sbv/zyC4RCISZM\nmEAbHUuZn3/+GXFxcUzzuDFjxqBp06bYtm0b83kUB0IIHj58iJ9//hn29vY4f/480wNr06ZNSu9j\n6s2KjB8/nlkdmzRpEt3yKEU4HA7mzZuHhw8fonnz5khNTcWgQYPQokUL7N+/H4WFhWLHIoTgxo0b\nGDRoEFxcXHDv3j1YWVnh2rVrWLBggUKcGCEJ1JsVWbZsGXr06IGcnBzMnTuXbTkqhaamJtavX48b\nN27A2toacXFx6NmzJ9q1a4fDhw+Dx+OJHUsgEODcuXPo2bMnOnbsiMTERDRu3Bj379/Hzz//LLs3\nISdE3jQ1NZVKPFXw5s6dO9GiRQukpaVJ3EhendDT08Pp06dRp04d3L17F/3796+U19SNXbt24fXr\n17C3t0ffvn3LXePxeODxeNDW1oa+vr5UxlN2b3K5XAQHB6NBgwb4559/mEVKSVCpI8YpP8bX1xeh\noaE4evRolY9f/18IIUhISMC9e/eQn58PY2NjtGnTBg4ODkpz815SUgJHR0e8ePECmzZt+upNqaIe\nxwgohzeFQiFCQkKwcuVKJCcnA/jy5dupUye0bdsWrVq1YhKr2traKC4uRlZWFl68eIGoqChcuHCB\nacytoaGB0aNHY8WKFbCysmLzbUmN9u3b486dO7h16xbat28vlZiq4M2PHz/Czs4O2dnZCAkJwbBh\nwyq8RlG9qQy+BL5sf9q/fz/WrFnDVFXo6emhW7ducHd3R8uWLdGwYUOYmppCQ0MDxcXFyMjIwPPn\nz3H37l2cP38eKSkpAL7sAZ8yZQqWLl0qtQcrtmnYsCFevnyJlJQUWFtbSyWmKngzPT0dTZo0AY/H\nw/Xr1+Hh4VHhNdSbklFUVISdO3diw4YNTMLC2NgYPXv2RMuWLeHm5ob69eujevXq4HA4TKX5s2fP\ncPv2bZw7dw4ZGRkAACMjI8yZMwfz58+HgYEBm29Laujo6KC0tBQ8Hk8qJ8cBquHNmJgYuLm5QUND\nA3FxcWjatGmF11Bvfp3ExER07twZHz58gKenJ44fPw49PT3W9CgiaWlpcHR0xOfPnxEREQFPT89y\n17Ozs1GjRg2YmppKtY2CKnjz3Llz8PLygpGREZ4/f45atWpVeI3Y3iSEiP3j6upKKMpNnz59CABy\n6tQptqUoHBEREQQAMTU1JQUFBRWuA4gmlfCLPH+UyZt8Pp+cPHmS9OjRg3C5XAJA7B8zMzMyd+5c\n8uLFC7bfhtRxcXEhAMjDhw/ZlqJw7N+/nwAgjRo1ImVlZRWuK6o3lcmXhBBSXFxMDh48SNq3b18p\nXwIglpaW5NdffyVv3rxh+21InVq1ahEAJCMjg20pCseKFSsIANK+ffuvXqfelA4FBQVk3759zDxR\nmbnT2tqarFu3jnz48IHttyFVysrKmPcoFArZlqNwTJgwgQAgvr6+X71Ovflt4uLiiLm5OQFAWrVq\nRTIzM9mWpDAUFxcTV1fX7362Xr9+zdwXUCri5eVFAJDZs2d/9bq43qSVOGpGr169cPHiRZw/fx69\nevViW45CQQhB27ZtERUVhV27dmHq1KnlrivqqgWgvN7Mzs5GZGQkoqOjERsbi/T0dHz8+BF8Ph96\nenowNzeHra0tHB0d0blzZ7Rv315qq22KhqOjIxISEhAXF6dQxyQqAmVlZbCzs0NaWhrCwsLQr1+/\nctcV1ZvK6ksAePv2La5fv46bN28iMTERGRkZyM3NhUAggL6+PiwsLNCoUSM4OzujS5cucHd3h6am\nJtuyZYKZmRlyc3ORnZ0NMzMztuUoFAUFBahXrx4+ffqE+/fvo1WrVuWuU29Kn7S0NFy/fh137txB\nYmIiMjMzkZubCw6Hw5y+amNjA1dXV3Tr1g0uLi5Kv934a/B4POjp6UFHR4due/kKb968QcOGDSEU\nCpGSklKh8Sz15vdJTEyEl5cX0tPTUa9ePfz9999o3bo127JYRSgUYvTo0QgODoa1tTWio6O/us04\nNTUVNjY2aNiwIXNKFeVfYmNj4eLiAkNDQ7x58wYmJiblrtNKHMpX6dSpEwFArly5wrYUheTYsWME\nAHFzc6twDQq6akGoN1UCW1tbAoAkJSWxLUUh2bJlCwFAfHx8KlxTVG9SX6oGBgYGBADJz89nW4pC\nMm/ePAKATJ48ucI16k2KrMjLyyMAiJGREdtSFJZhw4YRAGTVqlUVrlFv/pisrCzi7u5OABANDQ2y\nbNkywuPx2JbFCgKBgIwbN44AIHp6eiQ2Nvabr33y5AkBQBo3bixHhcqFh4cHAUAOHDhQ4Zq43lS9\n1Dzlu5SUlACAylYzSEqfPn1gYGCA6OhopKensy2HokaIGmpTb36doUOHgsPh4OLFi5VqukuhSAqd\nN7/P8OHDAQBhYWESn25GoYgL9eWPEXnz5MmTLCtRTiwsLHD9+nXMmzcPQqEQv/32G5ydnaVyWpwy\nUVRUhJ9++gkBAQHQ09PDmTNn4Ozs/M3XU2/+GJE3T5w4UeUYNImjZohKTqmxvo6enh6zzezSpUss\nq6GoE9Sb36d27dpo3bo1SkpKcOPGDbblUNQEgUCAsrIycDicbx5vqu44OzujXr16yMrKQlxcHNty\nKGoCnTN/TLdu3WBgYIDY2Fi8e/eObTlKiY6ODjZu3Ihr167Bzs4OSUlJzGlxERERKp+4fvr0Kdzd\n3XHkyBEYGBggIiIC3bp1++7fUG/+GNGJXleuXAGfz69SDNXcwE75JgUFBQC+nFKgzBBCEB8fj6io\nKKZDubu7OxwdHSXuUN6uXTucOHEC9+/fx/jx46WkmEL5PtSbP6Z9+/aIiorCgwcP4OXlJSXFFMq3\nEfnS0NBQaU6/+Bay8iaHw0G7du3w6tUr3L9//7srtBSKtFCVOROQnTd1dXXh5uaGGzdu4MGDB+jT\np48UVasXHh4eiIuLw7Zt27Bhwwbcu3cP3t7esLa2xpgxY9C/f380bdpU6ecJETweD5s3b8Zvv/2G\n0tJS2NnZ4fjx42L1bKTe/DGivoLJycmIj4+Hi4tLpWPQJI6akZeXB+DLEZXKCiEEx44dQ2pqKpO9\n/Pz5M8LDw/H06VP4+vpKZCw3ty+9pOiKIkVe8Pl8FBUVgcvlQl9fn205VUZe3nz8+LFU9FIoP0IV\n5kxAPt48cuQInTcpcoN6UzxESZy4uDiaxJEQHR0dLFy4EFOnTsXevXuxa9cupKamYunSpVi6dCnq\n168PDw8PtG7dGs2bN4ednR1q1Kjxw/8/oVCIgoIC5OXlIT8/H0VFRSgpKfnS9+T/7wuNjY1hYWEh\n8wWFgoICBAYGYsOGDcjMzAQAjB07Flu3bhU7KUO9KR5ubm5ITk5GXFwcTeJQvo9AIEBOTg4AwNzc\nnGU1VSc+Pr6coUTw+XykpKQgISFBotN96tWrBwDIyMiQSCeFIi7v378HANSoUUOpTxGRlzffvn0r\nkU4KRVxE3qxZsybLSiSDzpsUVUO0PYh68/vQeVP6GBoaYt68eZg9ezYuXryI0NBQnD17Funp6QgO\nDkZwcDDzWh0dHdSoUQMmJibQ0dGBhoYGysrKUFJSgsLCQiZ5I+62LENDQ1hbW8POzg6NGzeGvb09\nmjZtiiZNmkBPT69K76e4uBg3btxAWFgYQkJCmL6Dzs7O2Lx5M7p06VKpeHTeFA9J502axFEj3r17\nB6FQCHNzc6Xe2x8VFfXN/YN8Ph/37t2TyFQWFhYAgA8fPlQ5BoVSGUQ3V7Vq1WJZiWTI2puiGwLq\nTYq8oN4UDzpvUuQN9aZ40HlTdmhoaMDT0xOenp4QCASIj4/HzZs3ERsbi7i4OLx8+RK5ubl48+YN\n3rx5891YhoaGMDExgbGxMQwMDKCjowMulwuBQICioiJ8+vQJ7969Q2FhIeLi4ipUPXI4HDRo0ABN\nmjRBo0aNUL9+fVhZWcHc3BwmJibQ1tYGIQQFBQXIzc1Feno6Xrx4gX/++QexsbFMHxvgy9b1BQsW\nwNvbu0qVJtSb4iHpvEmTOGpEWloaAKBhw4YsK5GM/Px8ia7/CFXZz0pRHqg3xYN6kyJvqDfFg3qT\nIm+oN8WDelM+aGhowNnZuUJPsMLCQuTm5uLTp08oLS2FQCCAlpYWtLW1YWhoCCMjI5iYmEBT88eP\n5IQQ5ObmIjU1Fc+ePUNSUhKePn2KJ0+eIDk5GWlpaYwvKouLiwt69+6NYcOGoVmzZlWKIYJ6Uzwk\n9SZN4qgRz58/BwDY2NiwrEQyjI2N8fnz5+9elwRRNlpbW1uiOBSKuLx48QIAYG1tzbISyZCXN5W5\nkpCiXNB5UzzovEmRN3TeFA86b7KLoaEhDA0Nma0zksDhcGBmZgYzMzO0bNmy3LXS0lIkJyfjxYsX\nePHiBV6/fo2MjAzk5uYiLy8PZWVljJ7q1aujbt26sLa2hrOzM9zc3FC9enWJ9Ymg86Z4SDpv0iSO\nGhEfHw8AcHBwYFmJZLi7uyM8PPyrJW5aWlpo06aNRPFFJY9WVlYSxaFQxEXkTUnKMhUB6k2KqkHn\nTfGg3qTIGzpvigf1pnqgra0Ne3t72Nvbs6pDIBAgMTERAJ03f4Sk3lTeDpqUSiM60aV58+YsK5EM\nR0dHWFtbV1hV0NLSgo2NjcRfGqLVnQYNGkgUh0IRl0ePHgFQ/ptR6k2KKiEUCpm+A3Te/D7UmxR5\nkpeXh9TUVGhra8POzo5tORJBvUlRJZKTk1FcXIw6depItbqHDRTdm7QSR00QCoWIjo4G8O8xvcoK\nh8PBkCFDkJCQgHv37iE/Px/GxsZo06YNHBwcJN5jeO/ePQCoUKpIociCvLw8PHv2DNra2kqfxJGX\nN1u1aiUNuRTKd3nx4gXy8/NhZWWl9A0a6bxJUSX++ecfAICTk5PSbxOStTejoqIAUG9S5MPDhw8B\nKP+zJiBbbwqFQty/fx9A1b1JkzhqwrNnz5ib0dq1a7MtR2I4HA4cHR1l8tB7+fJlAEDbtm2lHptC\n+V9EE56Tk5NK9JOQlTeFQiGuXr0KgHqTIh8kvcFSNGTlzcLCQiaJI2l5OYUiDtSb4vHq1Ss8e/YM\n+vr6cHJykmpsCuVrUG+Kx8OHD5Gfn4/69evD0tKySjHodio1QZSJpzdY3yc1NRUxMTEwMjJCly5d\n2JZDUQOoN8Xjzp07yMzMRIMGDZR+awtFOaDeFI+IiAjweDy0bduWOc6YQpEl1Jvicfz4cQCAp6en\nSiwSURQf6k3xCA0NBQD069evyjFoEkdNEGVGW7duzbISxSYwMBAA4OPjA11dXZbVUNSBBw8eAKDe\n/BEibw4ePJgemUqRC3TeFA+RN319fVlWQlEX6Lz5YwghOHDgAADqTYp84PF4ePToETgcjkpsp5IV\nPB4Phw4dAiCZN2kSR02IiYkBoBp7FGVFXl4e/vjjDwDAlClTWFZDUReoN3/Mq1evcPjwYXC5XEyc\nOJFtORQ1oLS0lDn9xsXFhWU1ikt0dDQiIyNhYGCAUaNGsS2HogZkZmYiKysLJiYmaNSoEdtyFJbw\n8HAkJibC0tISffv2ZVsORQ1ISEhAWVkZmjRpAiMjI7blKCxBQUF49+4dnJ2dJapYokkcNUAgEDA3\no3RP7Lf57bffkJeXBw8PD9pzgyIXcnJykJGRAQMDA3oz+h0WLlyIsrIyDB06FDY2NmzLoagBSUlJ\n4PP5aNSoEb0Z/QaEEMyZMwcAMHnyZKU/iYSiHIhOWnVycqJVmd+gtLQUCxYsAADMnz+fbqWiyAXR\naY7Ozs4sK1FcPn36hOXLlwMAfvnlF4m+w2gSRw14+fIleDwerKys6E3WN4iPj8f27dvB4XCwefNm\ntuVQ1IQnT54AAOzt7cHl0q/jr3HlyhUcPXoUenp6WLNmDdtyKGqCyJuSHiGqyhw6dAi3bt1CjRo1\nsHjxYrblUNQE6s0fs3XrViQlJcHW1haTJ09mWw5FTUhMTARAvfk9li1bhvfv36Nt27YYNGiQRLHo\nU4Ma8Pz5cwBAkyZNWFaimBQUFGDo0KEQCASYPHkyXF1d2ZZEUROoN79PVlYWs0VjyZIlaNCgAbuC\nKGoD9eb3efbsGaZNmwYA2LBhA10gosgN6s3vExUVhWXLlgEAdu7cCR0dHZYVUdQF6s3vc+bMGezc\nuRNcLhe7d++WePGWJnHUgFevXgEA6tevz7ISxUMgEMDPzw9PnjyBvb091q9fz7Ykihoh8iZNTlSk\npKQEgwcPxtu3b9GhQwemNJxCkQd03vw2eXl56NevH/Lz8zFw4ED4+fmxLYmiRtB589u8ffsWAwYM\nQGlpKaZPn46ePXuyLYmiRtB589s8ffoUP/30EwBgzZo1UmlvoilxBIrC8/btWwCo8jn0/wshBPHx\n8YiKikJ+fj6MjY3h7u4OR0dHpdqfLBAIMHHiRISFhcHExASnTp2ivQ8ocoV68+vweDz4+vri9u3b\nsLKyQmhoKLS0tNiWRVEjqDe/Tl5eHjw9PZGUlIRmzZohKChIqfRTlB/qza+TmZmJbt26ITMzEx07\ndqStAShyh3rz67x48QI9evRAQUEBBg0ahIULF0olLk3iqAH5+fkAgGrVqkkcixCCY8eOITU1FXw+\nHwDw+fNnhIeH4+nTp/D19VUKY5WWlmL06NEICQmBnp4ewsLCYGtry7YsippBvVkR0SR36dIlmJqa\n4ty5c7CwsGBbFkXNoN6syIcPH+Dp6Yno6GjUrVsX4eHhMDQ0ZFsWRc2g3qzIy5cv0b17dyQnJ8PB\nwQEnT56kCx8UuUO9WZG4uDj07NkTWVlZ6NChA/766y+p6abbqdSA4uJiAIC+vr7EseLj48sZSgSf\nz0dKSgoSEhIkHkPWvHz5Eu3bt0dISAgMDQ1x4cIFdO7cmW1ZFDWkqKgIAKCnpydxLFXwZnx8PFq1\naoVLly6hZs2auH79Opo3b862LIoaQufN8ty5cwctWrRAdHQ0rK2tcevWLbqdhcIKdN4sT3h4OFxd\nXZGcnAwXFxdcu3YNZmZmbMuiqBlCoRClpaUAAF1dXYnjqYI3g4OD0aZNG2RlZaFr1644f/68VO4p\nRNAkjhqgqfml4KqsrEziWFFRURUMJYLP5+PevXsSjyErhEIhgoOD0aJFCzx8+BD169fH9evX0bFj\nR7alUdQU0UqZunuzrKwMO3bsQKtWrZhtGnfu3IGjoyPb0ihqCp03v8Dj8bBy5Up4eHggIyMDbdu2\nxe3bt2nPAwpr0HnzC/n5+Zg1axb69OmD3NxceHl54erVqzA3N2dbGkUN4XK5TIWJUCiUOJ4ye/P9\n+/cYNWoU/Pz8UFRUhFGjRiE8PBwGBgZSHYcmcdQAUdavsLBQ4liiUrmqXmeLu3fvokOHDvDz88On\nT5/g4+ODmJgYehIVhVVEK4mfP3+WOJYyepMQggsXLsDFxQUzZ84Ej8fDmDFj8ODBAzRq1IhteRQ1\nRt3nTaFQiNDQUDRr1gwrVqyAQCDA/Pnzcf36ddSuXZtteRQ1Rt3nzbKyMgQEBMDOzg7bt2+HhoYG\nNmzYgDNnzsDExIRteRQ1Rt3nTR6Phy1btsDOzg4HDx6Erq4uAgMDERQUJJXqpP+FJnHUANENV2Zm\npsSxjI2NJbouT4RCISIjI+Hp6Yl27drh7t27sLCwQFBQEE6dOgVTU1O2JVLUHHX1ZllZGU6dOoWO\nHTuid+/eiI+PR8OGDXH69GkEBgZKtdyUQqkK6urNkpIShISEwNXVFb6+vkhNTYWDgwOuXbuGDRs2\n0D4bFNZRV29+/vwZ+/fvh729PcaPH493796hTZs2ePDgAebPny/xccUUiqSoqzc/fvyIbdu2oVGj\nRpg7dy7y8vLQq1cvPH78GGPGjJFZ7x7qeDWgXr16AICUlBSJY7m7u3/zJk5LSwtt2rSReAxJSU9P\nx5o1a9C4cWP06NED58+fh6GhIZYuXYpnz57Bz89PKZphUUicskYAABRoSURBVFQfdfNmUlISlixZ\ngoYNG6J///64ffs2TE1NsWHDBiQmJsLHx4dtiRQKAPXyJiEEsbGxmD17NurWrYsRI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zJV87w30m/882Zc8UXwW2LXxnTMckIutUtSLacZYxBDmRLUBP5BreyursluzW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\nYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.cluster import AgglomerativeClustering\n", + "\n", + "X, y = make_blobs(random_state=1)\n", + "clustering = AgglomerativeClustering(n_clusters=3)\n", + "assignment = clustering.fit_predict(X)\n", + "\n", + "mglearn.discrete_scatter(X[:, 0], X[:, 1], assignment);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Този алгоритъм също не се оправя добре с `make_moons`:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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1pEFVW5sqtGFfLlqbcc5luejod98T1rmfz3PtctzuBEe3RpYWq++jATL3tTl8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\nOu2WEBkbhpz+6xDH8x39yMMyQo+MCcPl2UeFBTm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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X, y = make_moons(n_samples=200, noise=0.05, random_state=0)\n", + "\n", + "clustering = AgglomerativeClustering(n_clusters=2)\n", + "assignment = clustering.fit_predict(X)\n", + "\n", + "mglearn.discrete_scatter(X[:, 0], X[:, 1], assignment);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Поради начина си на работа, `AgglomerativeClustering` няма `predict` – той не може да генерализира за нови точки. Има само `fit` и `fit_predict`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# DBSCAN\n", + "\n", + "* Идва от \"Density-Based Spatial Clustering of Applications with Noise\"\n", + "* Шокиращо, нали?\n", + "* Няма нужда да му давате брой клъстери\n", + "* Определя някои точки като шум и не ги начислява в клъстър\n", + "* Може да открива всякакви форми\n", + "* По-бавен" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Как работи?\n", + "\n", + "* Причислява точките в три категории – \"core sample\", \"boundary points\" и \"noise\"\n", + "* Два основни параметъра – `eps` и `min_samples`\n", + "* Core samples точки с `min_samples` или повече съседи на `eps` или по-малко разстояние.\n", + "* Boundary points са точки, които са на `eps` дистанция от core samples, но не са core samples.\n", + "* Noise е всичко останало\n", + "\n", + "Повече детайли [в документацията](http://scikit-learn.org/stable/modules/clustering.html#dbscan)." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "min_samples: 2 eps: 1.000000 cluster: [-1 0 0 -1 0 -1 1 1 0 1 -1 -1]\n", + "min_samples: 2 eps: 1.500000 cluster: [0 1 1 1 1 0 2 2 1 2 2 0]\n", + "min_samples: 2 eps: 2.000000 cluster: [0 1 1 1 1 0 0 0 1 0 0 0]\n", + "min_samples: 2 eps: 3.000000 cluster: [0 0 0 0 0 0 0 0 0 0 0 0]\n", + "min_samples: 3 eps: 1.000000 cluster: [-1 0 0 -1 0 -1 1 1 0 1 -1 -1]\n", + "min_samples: 3 eps: 1.500000 cluster: [0 1 1 1 1 0 2 2 1 2 2 0]\n", + "min_samples: 3 eps: 2.000000 cluster: [0 1 1 1 1 0 0 0 1 0 0 0]\n", + "min_samples: 3 eps: 3.000000 cluster: [0 0 0 0 0 0 0 0 0 0 0 0]\n", + "min_samples: 5 eps: 1.000000 cluster: [-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1]\n", + "min_samples: 5 eps: 1.500000 cluster: [-1 0 0 0 0 -1 -1 -1 0 -1 -1 -1]\n", + "min_samples: 5 eps: 2.000000 cluster: [-1 0 0 0 0 -1 -1 -1 0 -1 -1 -1]\n", + "min_samples: 5 eps: 3.000000 cluster: [0 0 0 0 0 0 0 0 0 0 0 0]\n" + ] + }, + { + "data": { + "image/png": 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XJtUonDlzhvb2Dg4dunbMZSsq5lBVVasPEpGEcMcdd3B9xvV0vNYBwMCFAZr/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\nL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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mglearn.plots.plot_dbscan()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "DBSCAN вече може да се справи с `make_moons`:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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KAWSDEb3/x+EdR0NO/hcasYfiQo9fhKBSzfK8OfvFoA3JFZcnZ4/Fh0zsEpoW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\nAjT7ONp5iWeuAY3MQ+rPMBu5zhxTYDzITTG0JST2QxKHg3b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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.cluster import DBSCAN\n", + "from sklearn.preprocessing import StandardScaler\n", + "\n", + "X, y = make_moons(n_samples=200, noise=0.05, random_state=0)\n", + "\n", + "scaler = StandardScaler()\n", + "scaler.fit(X)\n", + "X_scaled = scaler.transform(X)\n", + "\n", + "dbscan = DBSCAN()\n", + "clusters = dbscan.fit_predict(X_scaled)\n", + "\n", + "plt.scatter(X_scaled[:, 0], X_scaled[:, 1], c=clusters, s=60);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "С подходящия `eps`, DBSCAN може да се справи и онези странни три клъстера от по-рано:" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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yOHn6jpcJ+IMopVBKcc6vT+fcX5+e2C9OiANIYk+BObtX1bsKxmM46ZrZnhH5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\nL7Wkxy5alZ5ZhTw37noeWvkhM4tWAJD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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X, y = make_blobs(random_state=170, n_samples=600)\n", + "random = np.random.RandomState(74)\n", + "transformation = random.normal(size=(2, 2))\n", + "X = np.dot(X, transformation)\n", + "\n", + "scaler = StandardScaler()\n", + "scaler.fit(X)\n", + "X_scaled = scaler.transform(X)\n", + "\n", + "dbscan = DBSCAN(eps=0.20)\n", + "clusters = dbscan.fit_predict(X_scaled)\n", + "\n", + "plt.scatter(X_scaled[:, 0], X_scaled[:, 1], c=clusters, s=60);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Обърнете внимание, че подобно на `AgglomerativeClustering`, `DBSCAN` има само `fit_predict`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Сравняване на клъстеризация" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Погледнахме за момент `adjusted_rand_score`. Нека видим какво прави:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.metrics.cluster import adjusted_rand_score" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще пробваме пак с `make_moons`:" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X, y = make_moons(n_samples=200, noise=0.05, random_state=0)\n", + "\n", + "scaler = StandardScaler()\n", + "scaler.fit(X)\n", + "X_scaled = scaler.transform(X)\n", + "\n", + "plt.scatter(X[:, 0], X[:, 1]);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще видим оценката на тези три алгоритъма:" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "algorithms = [KMeans(n_clusters=2), AgglomerativeClustering(n_clusters=2), DBSCAN()]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще генерираме `random_clusters`, който раздава произволен клъстър на всяка точка:" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1,\n", + " 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1,\n", + " 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0,\n", + " 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1,\n", + " 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0,\n", + " 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0,\n", + " 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0,\n", + " 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0,\n", + " 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_state = np.random.RandomState(seed=0)\n", + "random_clusters = random_state.randint(low=0, high=2, size=len(X))\n", + "random_clusters" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "И да начертаем диаграма:" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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sq5SiBWq1atHyQwyYt5LLf/+Wbp/+Qs+vljH0+Fe0uHe3n/he8vI82O1eZn+R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\n3H3Bx445WLYsk0suqVep+Wq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55BYALr20PvPm9ef885OIizOTlGQhKcnCI4+0Y9q0XtSr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\n3boWNmzoS79+NTGZROLi9JjNEm3bxrN2bR+aNPl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rer3AxIkNQ2tQFRHIonQ3bvLIq9Tr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vgS2YQ6d52g7ac70cVY0Vaxo422IRkU4kecovPcTZz6oT5/WFeRSGK52GzDxjzmFfsySWEyKM5D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\nwKpE2mwKi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STXcR1aSs63c8VpTrOKVWxgA3nk+cm64KCw5MQZGWS4XZj60pcXedHrzzlE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\n2FjLWnays1K8v5CzFQTs2nUJi8V1BFAQB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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 4, figsize=(15, 3), subplot_kw={'xticks': (), 'yticks': ()})\n", + "\n", + "axes[0].scatter(X_scaled[:, 0], X_scaled[:, 1], c=random_clusters, cmap=mglearn.cm3, s=60)\n", + "axes[0].set_title(\"Random assignment - ARI: {:.2f}\".format(adjusted_rand_score(y, random_clusters)))\n", + "\n", + "for ax, algorithm in zip(axes[1:], algorithms):\n", + " clusters = algorithm.fit_predict(X_scaled)\n", + " ax.scatter(X_scaled[:, 0], X_scaled[:, 1], c=clusters, cmap=mglearn.cm3, s=60)\n", + " ax.set_title(\"{} - ARI: {:.2f}\".format(algorithm.__class__.__name__, adjusted_rand_score(y, clusters)))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Principal Component Analysis\n", + "\n", + "* Опитва се да намали броя измерения на feature-ите.\n", + "* Завърта данните по начин, в който да намери по-малко-мерен линеен базис, който да запазва повечето информация." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "scrolled": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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WRRngownzWb4hg1cevZSoiKpzeYXZbQzumxKwbPKCdUGv+2n+Og3AVEM0XkT+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\nWBo66lHAB478E854+nPyCnFGmxHjgJmZ7aQzqyw7K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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mglearn.plots.plot_pca_illustration()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Бихме могли да го ползваме за визуализация." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да се опитаме да го приложим върху `cancer`. Първо, нека да видим какви feature-и има:" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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UOr2ntf2ra4w/oX4jwqTi7Kw/lxu/3WKa6nJr4CP1tXkK8KBJ1mWPGA+gGcd/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a8Bx7T5zcCJbf7Qtv0ewF1aObv2IK6NwOnjPlYriGsjcF/gzcCTB5bfDji7/b1tm7/trONq666d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\nCwxXebpZFne3MDMzMzMrcZJsZmZmZlZSZZL8owrfuxscf7Ucf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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import load_breast_cancer\n", + "from sklearn.model_selection import train_test_split\n", + "\n", + "cancer = load_breast_cancer()\n", + "\n", + "fig, axes = plt.subplots(15, 2, figsize=(10, 20))\n", + "malignant = cancer.data[cancer.target == 0]\n", + "benign = cancer.data[cancer.target == 1]\n", + "\n", + "ax = axes.ravel()\n", + "\n", + "for i in range(30):\n", + " _, bins = np.histogram(cancer.data[:, i], bins=50)\n", + " ax[i].hist(malignant[:, i], bins=bins, color=mglearn.cm3(0), alpha=.5)\n", + " ax[i].hist(benign[:, i], bins=bins, color=mglearn.cm3(2), alpha=.5)\n", + " ax[i].set_title(cancer.feature_names[i])\n", + " ax[i].set_yticks(())\n", + " \n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(569, 30)" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cancer.data.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Преди да го прекараме през PCA е добре да мине през `StandardScaler`:" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "\n", + "scaler = StandardScaler()\n", + "scaler.fit(cancer.data)\n", + "X_scaled = scaler.transform(cancer.data)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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CpVKJxWnpyMzKQmnxTYSGtUTShAmYO+dFKm4ixMNoqxhptKZSbNdYM1NmY33u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\nU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ACN4AlrQCJ++uMf6eTINp3c/8ak3///w1nuubvNkTXXxZfM0tgz98rTZ+iKOx7U5342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\nYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "\n", + "pca = PCA(n_components=2)\n", + "pca.fit(X_scaled)\n", + "\n", + "X_pca = pca.transform(X_scaled)\n", + "\n", + "plt.figure(figsize=(8, 8))\n", + "mglearn.discrete_scatter(X_pca[:, 0], X_pca[:, 1], cancer.target)\n", + "plt.legend(cancer.target_names, loc='best')\n", + "plt.gca().set_aspect('equal');" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.21890244, 0.10372458, 0.22753729, 0.22099499, 0.14258969,\n", + " 0.23928535, 0.25840048, 0.26085376, 0.13816696, 0.06436335,\n", + " 0.20597878, 0.01742803, 0.21132592, 0.20286964, 0.01453145,\n", + " 0.17039345, 0.15358979, 0.1834174 , 0.04249842, 0.10256832,\n", + " 0.22799663, 0.10446933, 0.23663968, 0.22487053, 0.12795256,\n", + " 0.21009588, 0.22876753, 0.25088597, 0.12290456, 0.13178394],\n", + " [-0.23385713, -0.05970609, -0.21518136, -0.23107671, 0.18611302,\n", + " 0.15189161, 0.06016536, -0.0347675 , 0.19034877, 0.36657547,\n", + " -0.10555215, 0.08997968, -0.08945723, -0.15229263, 0.20443045,\n", + " 0.2327159 , 0.19720728, 0.13032156, 0.183848 , 0.28009203,\n", + " -0.21986638, -0.0454673 , -0.19987843, -0.21935186, 0.17230435,\n", + " 0.14359317, 0.09796411, -0.00825724, 0.14188335, 0.27533947]])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca.components_" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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EN5pfR9ITkgbiAhPTteFjlEFhTiwDzBYRq6TjP0F9YdodgRgajtYbGxe6ARtE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\ncL+kxiWrw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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.matshow(pca.components_, cmap='viridis')\n", + "plt.yticks([0, 1], [\"First component\", \"Second component\"])\n", + "plt.colorbar()\n", + "plt.xticks(range(len(cancer.feature_names)), cancer.feature_names, rotation=60, ha='left')\n", + "plt.xlabel(\"Feature\")\n", + "plt.ylabel(\"Principal components\");" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.97715585259444904" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.model_selection import cross_val_score\n", + "\n", + "X, y = cancer.data, cancer.target\n", + "\n", + "pipeline = make_pipeline(StandardScaler(), LinearSVC(C=0.01))\n", + "\n", + "cross_val_score(pipeline, X, y).mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Score for 1 components: 0.9156688016337139\n", + "Score for 2 components: 0.9473127262600948\n", + "Score for 3 components: 0.9490392648287385\n", + "Score for 4 components: 0.9648565859092174\n", + "Score for 5 components: 0.9736470806646246\n", + "Score for 6 components: 0.9701197438039544\n", + "Score for 7 components: 0.9701197438039544\n", + "Score for 8 components: 0.9753829016986911\n", + "Score for 9 components: 0.9789102385593614\n" + ] + } + ], + "source": [ + "for i in range(1, 10):\n", + " pipeline = make_pipeline(StandardScaler(), PCA(n_components=i), LinearSVC(C=0.01))\n", + " score = cross_val_score(pipeline, X, y).mean()\n", + " print(\"Score for {} components: {}\".format(i, score))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Non-negative matrix factorization" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Друг алгоритъм, полезен за декомпозиране:\n", + "\n", + "* Работи само с позитивни числа.\n", + "* Подходящ където резултатите са сбор от независими променливи (напр. много хора говорещи в една стая).\n", + "* Понякога се интерпретира по-лесно от PCA.\n", + "\n", + "Повече информация [в документацията](http://scikit-learn.org/stable/modules/decomposition.html#nmf)." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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4FOHRYdx+5xiOH0+mXLlwBg1sz+hRlxIebrTKM7NyeOyFn9m2K28s6e79Ccxe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\nhpxKSvPfoIynL7aDKoN8bw8o8txgbY5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jysyZ3H333W09vqKLo3YcFIbcc+1U7nzoLZo9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\n7er555/Pj3/8Y6eji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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mglearn.plots.plot_nmf_illustration()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Пример\n", + "\n", + "Декомпозиране на сигнал.\n", + "\n", + "* Имате трима човека, говорещи едновременно в една стая.\n", + "* Има n микрофона из стаята, които записват всичко.\n", + "* Всеки е на различно място и записва източниците с различна сила.\n", + "\n", + "Може да ползваме NMF да извлечем оригиналните сигнали." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да генерираме три сигнала:" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(2000, 3)" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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VIlBQ6qGgzMPG/QVRhdYzh7/BJeN7kVeeZ9jPKkK0Cog1BVOj7CmHCYO1vnKj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uXvispDFW7Sr6lE8zf969z2LJwNjRM6shq4rFsOQ9vpt8SEgFZ1k2lVV17tZyQ6eePqMxn6/HzW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\nAAAdgjIAAHQIygAA0PELMnLQMyuEd0YAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "S = mglearn.datasets.make_signals()\n", + "plt.figure(figsize=(12, 2))\n", + "plt.plot(S, '-')\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Signal\");\n", + "S.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Сега ще ги прекараме през 100 микрофона, всеки от които на произволна дистанция от всеки човек:" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(100, 3)\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[ 0.5488135 , 0.71518937, 0.60276338],\n", + " [ 0.54488318, 0.4236548 , 0.64589411],\n", + " [ 0.43758721, 0.891773 , 0.96366276],\n", + " [ 0.38344152, 0.79172504, 0.52889492],\n", + " [ 0.56804456, 0.92559664, 0.07103606]])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = np.random.RandomState(0).uniform(size=(100, 3))\n", + "print(m.shape)\n", + "m[:5]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Това е матрица, където редовете са микрофони, а колоните са дистанцията от всеки микрофон." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Извеждаме 100 записа:" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(2000, 100)" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X = np.dot(S, m.T)\n", + "X.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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OPFTqIbtrzuk+h9WDVtvpMvecfZB3Vp/LyT/HLZqH1zUdVziXeMtLZIUS67FU\njuuWWXnZtRrMyMYjeavtWwDULV1XdcxsFjl2I5YrYV4kX5qFKdWxipEn9Gxcmfb+UuLcl+0kB9O8\nZ1ux+tnqSpuyMeoleXfPV1B0EKO2jCIlK4Wfz/2s7JeVnWwdaY6QPeH3mytxV/j6+Nd2zr9+a/ux\n9eZW1b6x28fy1IanlFXOm4k32R+23+6aBSUe2Rn/yaQ1OT637bK2rB28lgZlG9g9mNaVp5w9tJ2q\ndXL5PZnZXg1zRg0+22iZiXpbrfidCXW95OGMwE8ep9gsyWAdFzyBcV5Q27CcU36TYAv0e/UUnLoI\n2z+gge4NAKpG7MOrXCkAIvySwJxEUHQQzSsWLZkUT4hJjyHdkE7NUjVV+0OTQ1XhK78G/sqQBkMA\nFG9DfiJ3IpfiLrnUmXxjzxuqKlr3apw6wkvn+TVTMo346nV4Z4fWFPbCEwG3AlQDmMz4gPE5vtbs\nx2ZzO+k2rSu1dng8w5iBLtv3YBbNuUr4kydltjF11rSo2IKI1Aii0qJUoQV+ej/GNR/HkotLaF2p\nNTpBZxez3bx8GzbuyOD87VNc+My+UiRIITCyeoIaHQEXI3P8bwKYtuoca06H8ff4R9VXzP6N/kvV\n/O6FhIwEyviVcd8wh8gxnSIiNxJu8M7+d+yqNgbGuJL+ktKnxzQdwxN1n6Bi8YqYzSKXI5J5uGpJ\n/jp2i483uJ78e0pxHy/I7pO8vbwImTUQru+GpU9bGi0bomx6Iaom7dtCtlGjRA1ltfbNPW8qiaFH\n7x5VfVdYchh1StfxSNP6fveTXf/uyvBGw/k18FdAKis/rZ1FdSoiNYIZh2bQv05/u3Pl+gPOpOUK\n+qref9LDaz2QH74jadfaGrXWD7Cjh1ZV3tIs8tXWS9yMUccBX4t27Bk2pkqzWGNia6KTPY8X7NnY\nUv2tlJ8j48vqYbt1UNn8sJXUAemu74Qb+1RnjNwy0qNZaGHGYDLYFQrpsaoHA9ZJYSpm0czknZPZ\nenOrXeiKwWxQluscVRTzhAxjBrHpniVTyIaLM+N62cVlXI2/alcy1p1xOqCO85AcGbkQRYeqHWhZ\nsSX1y9T35JYBaDZzOz2/28vCAzcYt+SkojVd0DtAa6z/Rm/tfcvueG7LL7eo0ILxLcYjCAJ/9vtT\n2S8PKJmmTMUAze3v5S4zemiDoSzpt4TmFaTJrbUWuK+XL2X8yhA0Jogl/ZcAar3cf5/+l6frjpDu\nL3tfbEofoeOZAAAgAElEQVQmG86Gu7xfi+EukGqVlGsyi8Snug61Sc00svDADdacljLun/3V0h+b\nzaJy/wUxrr4g0nVlVz46+FGeX9c63v3LY19yJd55UQmArUO22qkA/HH0CjpBp0h4frg+iAHfH6DO\n+1s8MnY764LoqLO0q1DCRykoUY0YQvxGMlB3lHoV/cGQ7c0MOwGXNkOE83CCYmQhZof9BUYHMn3f\ndJ779znluLUKypt731SdO3nXZA6FH3IZw/veI+8B99/gTchMUIxdcJyU7yzW3t37VtAnoB4ZvIIg\nlBEEYbUgCJcFQbgkCML9WS/JJ6y9YaV8JI9nbIZzg8RWagzgjTZvKJ39rbg0ftl3gx7f7mVz4B0W\n9lhDyvVpjP3DcfytaKggLc+k1WPC0lMe3fNvL7SjfW0pgL9rA8eD2/SetSwfEi1L3BWDpIdbMKTB\nWfslz2WXltF8cXOuxedeDaIg02ZZG1VHZU3ArQAGrB3AgfADvLP/HbvjRtGoZN3m1uCduHMi3Vd1\n96itbJg7MngNZgNfn/ia57c8b3fMkYe3czWLtN3X3b5Wtv/X5X92bVtUaEGfWlJmf7PyzVg2YJnH\nMbwzN0iDRmhcOl/8e4mAi5Es2COF49h2gDcSb7jVenxQLLm4xOXxR/56JFfXtS7j3LZyW6a2mcqE\nFhOY3HIy5fzK0bVaT6KTs5VAcjlgOJNGk6nqXxUvnZdDA1Vehtx+IYKQmFQyDCY+22SpBvdQqYfI\nzC5bbsqOaRz28xHe+PssYfHpHLgazZIjIUr7HRciOHQthqGV5vJWq5nK/sikDDaeu0P9D7fQ+vMA\n/jpm36/KfLX1El/867giXXKmUZngFeZVhPxg3ul5dsmSMhuub8jz77NeDg9JDHHb3laXHkDQZRAW\nn8aN6BQu3U1ixfGc6VH/5fMVK3ykZPGa5Ypx8qM+jGlfibIk8UZzySD/5KGzvNCxNmx7Vzop6iKs\nfB5cVYsE4tMDCbgVoOpz4zPiuZ7gvjLqxJ0T+feGfaw7wBN1n6BbdUmS9EE/w86MWLNo5nLcZUZt\nGaXsc7TqZXtOQcbTEXwesE0UxWGCIPgABTsy2Q3Wxm0xb2mgcJWUsuXmFmV7UN1BbLqxiaSMTOq8\nv4VvhragRU1Lksary8/wz8SOiFn2L7anfDq4KfN2XSXOygvSp0llKpWUDJAPSgfA5r/tzpsSa2XI\npHkuzzL/zHwADoYfpH5Zz716D5orcVdoWLahR5nfl+MuK9vWL6W1J6+UTylFJF0mMDqQwGhpSS63\nAfmnIj2b1IDFw6vT2c9F5cpdjjyNtiojdUrX4ec+Pzus6jOo3iA+OGiRkVo2YBkNyjRQlh5bVmzp\n0b3uuhTJjguRrDxpP0CZTFLnYrtE/+T6J/HR+XBqtOe/yf2ipE/JfLluZIKRtLQ09F4CoXFpvNzc\nktD2Yo0/Gf/HNUKMt/CtlLsBIyEjgfBk1zHc8mStX51+7A7drRLyzzKKfLopkBXHQ/HR6/hscFMW\nH7lFyezK05vO3WH3ZSm7XraX5dWslEwjoxdJMc0vdKyN2Swy3moSv3xcd0CSO7qTkM7rK84oxz5c\nd54R7Wqizw6DOXg1hgaVS1C5lB+3HBTfkYlNyWTVCcnzW9AH2PtNflTNc4W1h9eTwjaONMIFrwy6\nfC2pEr3Tz1FIjGesmdRJ8uICL159lel+5zle8Ve4ChX9veHWAfuTkp3HzwpAmCncbrWn28pulPS+\nt77iQHACOw4dhqrun+F0Y7rbCa2nOEpIc6aN3OefPjkuVlToPbyCIJQGugGLAERRzBJFMXeBpwUA\nW7keOQPfk8Dxn3v/rGQgRyVLM9vfD93knE0cboYh58tsPhgYrDsEiIzpVJvTH/ehvL9V52A203Lz\nQIKbLeXh87Ph5O/2F7liMcxJyXnMnLtysQ+Cn87+xBPrnrDbfyLiBMM2DWPF5RUeX0sO3XAmO+VO\nCN9Xn3vVAnC9XB2THsPq4NWKwTt933TV8W03t7Hj1g6n51trwYLF4/dL718cymFtH2qRMKtbui7F\nvYvzaNVH2TN8Dz0esi9S8M/JUPYFRxOTksmC3VeJTcnk5cUnHRq7Etkxlg7+zfeiHJGf3Osg5oyB\n3x+h2+w9dJq1mxG/qmP9Pt10keDIFEQx96oDz2x+hq0hW122kQ3e/nX6c3b0WVXS2fYLEYpXLcto\nVmmCA7y24oxS2UpEVP1NrUMTMgwmkjPUoUPHb8ZZHbf/t73x91kWHbxJTEomoxYd47HZe/hofZBS\nIcsRYfHprDyRXWnrP27w3km5w4SACSRnJbtvTN6HGMkxvJ5i65wwJDUjM8KiXV/M233ewOwqu5iu\n/5t+Tauo9retVZYyxaUxs2KitOrUXpcdYpGZBIsH2V/skGPZRrHxEwgufqpkg2e/tzOi4osRlyK9\nK66e4Y3XN/LIX4/Yec8TMxOJTosmMjVn47yjvteRh9dgMuSqMmdBD2HzJKShDhAN/CEIwhlBEBYK\ngpC7gugPiOSsZMVzZyvCnWXKIiY9RuUBlDEktlK2X2r2Ep2rd1aWjo0m6SG5HJHMu2vUMUl3E1x3\nAi1rqpMH6lbw52CbPXzv8wNnfCcocUVLX+5ACV89y17uAD91gsjz+FxzPbApxLpfcrHlXmSo8osf\nz/3oMKQkJCkEgN/Pqw1/a0WFz498zsvbLd60Dss7AM7Fvm29u3mNnLnriHf2v8OnRz7lZuJNh8en\n75/O/47ZhyI4Qy7f2al6J1pVkp7jsr5lqVy8MgDVSlRT2lqHQziLBZ2+OpAxvx/nzZVn+XZHMG2/\n2OmwnS2FSanhXjRiQdIQndxqsp0Xqybq1ZYso5lvt19h0UHrv3V2DG8uPCSeaO5a/41vx2WQaTTR\nv7YUQ2xrpH622XnpV7OoLpIzcqFFrD4qKZPgKLUhMHenJVn34LVou+v9G3SXzzdfVEK7Mgxmlh1V\nyx293qsBAL5k4UtWdlxv3siSHQg7kK+FGfKK2PRYmi9uzqorq5R9Mekx9F3Tl8N3DtNpRSeVUoIz\n8nqy6eo7+9fuz5gmY1yenxE+CnOWJTfFzwOD95mERUzRbyTdkWMpMxmCLY4B4eB30kZkDhLfandF\n6DcL3T16K3/o9YPqc9CYINb0O0jZtNFkxXTHk2d49+3dgKQek5yVzHcnvyPLlEWXv7vQ85+e9F7d\nO0f35OjvZTKb7DTcXY1VjuhSXZJzK+gTUE8MXj3QBvhJFMXWQCrwnm0jQRDGC4JwUhCEk9HR9h3b\ng0IURTqt6ETnFVI8o+0fJNOUSY9VPbgQa/9CZNx5lpRr7/Bso2cZ13wcYFlqPhce7/Q7t5y3eIsn\nNs6gJJblueMf9mJom+qq9p8MbkrFJClerayQAj93huRImlQrxflP+9Kltj9EO45nc0pO26OONSxo\n2M4c5c9yfXaA4ZuG02ZpGz4/8jlrr65lVfAqjkfYS0g5Sz5yN/Dd6+xVXk1whCxUbqvB+9elvwiK\ndl7qMSfsGb5H5dmVWXYkFKPJvqMym0X2BUer/t2xKZ4OmOokrCN3jvDYysdyftP5SGhyqCph414K\nTgAs6LmASS0ncWr0KSUeenJ8Agd8p6napWeZWLDnGp+rDMv81ZX9dlsIt2PTaDpjGz2+3cvohcfp\nV3kaQWOCSHWhXWqLySxy6a7jieErS07wzM9HnJ77wx7nk/BTt5z3p+1rS4oRp3wnEuj7ChvO3oFs\nj3hKZu4lAxMzE5m8a7LDBMWCRGx6rJIVb10BNOBWgKqdJ1rR9/qM22KdDGy77C4i8nb7t5VS07K+\nc1xqFqYMtXdWJid6zekGE30a2Wjgr58My5+xb+xJYnb/b6T/l6kFgo57m/5CCe8Sqs+iKPL4nIPc\nvtUU8AIPEi8Fq37h+9Pf8+eFP53GBVuTYcwgISOBFotbcCDMEsrhSGLzdNRphxru7uhYtaPiIHmi\nrrQKW+hDGoAwIEwURXkqvxrJAFYhiuKvoii2E0WxXcWKuY9fzWvWXl2r+mw7oPwS+IvD8+Z1l5Y6\nREM53mzzLiV8pIdXlg+67KTTB9h7xWLwvxfyEkt8ZgHQ++HKVCrpR8WEQBoKoVQrLSWLNKlWCsF2\naWJB++wbNsOXjjsHj2g+3H5f+1ccNnUUX/UgsfbE2i6dWRthSVlJHL17VClluSp4FTMPz8QRXxz9\nQtFUzSn3+jJbdzYpWSk0X9ycf4L/ASxJatZZvenGdGYdn8XILSPdXnts07FuY2+9dF4O1Rz+t+UK\na0/bx4B+uP48Y34/zqZAywTO01/Adol+7um5DrOBk7KSmHtqbr6V2LRV5/jp7E+su7qOxRcWM2Dt\nAHr/I3lIwpLDWB282ul1PImhW34sTNmWl5hbZEoThE6685QnkYokMOJXi1HYTXeOekI4tQXp/c+r\nAUM0SyEMmdG9yYzuTUJUC/rN26+oJRwPieOlP0/yy77r3E10/NsLTlI8hjkxaoMjPS+YkhPqV5L6\n3hJCBr6C/PeUnq+YlNwpZ4Bl4utoBakg0X9tf6WYiPUqhO1qjCNFgCr+6rFD1s3NK6yNNXn1SEbu\n02T5zkF1pZCCPw7dJC3kVZIvf2Z3vSuRjkMFHMX2fjKoKb91tOlT7p71/OZtya7qhrcf6LzuWcLK\n31u9EN5njo1ubXYfeTnCuS2hFFjBrNQDcBTGtzd0r5KLA9D+r/Y8ueFJREQWBi3kTsodnlr/FGO2\n2nvc3VWDc4a/t79SMEc27gt9SIMoihFAqCAI8hPXC3C+5lXAsC2tauvJdTQIAwTdsIQdyF6twLAE\nDlzNXp4U1IbzwOZV7a7xTGups2mtk9QPWtQoDaJI/2Oj2eH7Lj0aVyJk1kAqlPCFLJsZaGYibH4L\nPitre1l7aqo1Kmlj9VA/+QPISUPV2oBfaRj4ncPLFLQY3ql7pyrb6cZ0pXyuyWxSLZVP3jmZcTvG\neXTNlVdci6C74l69b1mmLP48/ycbrm0gKk2Kj/rz/J+EJoUqxrq1weOqnLU1JX1K8la7t1TJYbbL\naY7oX0uOadMpy4MTlp5kxobzHL0Rq5TtDI2zPJvOvHsyr/eUkx7VS/SOOsIhG4fQeUVnFp1f5HHB\nhJxwI/EGrZe2ZtetXcq+H8/9yIzDM/j25LeAZRLy/JbnuZF4w+m1JracSDm/ci6/b4aVhJIcQlAq\n23O+3Od/nPKbxAm/yVyOsAzqS3y+ZpfvdF70kpZh82rAEM1SeJIhoR1ZMb0BL7vYXICvtl7mz8Mh\nDq+RdOVDUoLzXsrKHb56HW/2bsiKcY9y4dO+Uv9oh/Sse+XCKvn3xr90X9ldmWTlVn0lPwhPCWfT\n9U2qfdYrUoILv+PoraPt9tk+T3nt4bVOeCrubUnqfbHpi0xvL+UhtK7UmgPDD9KthqxKIIKoB9He\nwbL8mDqcZc2kjoTMGkjbh+zHwSa3lsHfVuo7V7ZZZMccUeMReMs+dJG62TkLTZ+CrtOg1wwQvBz+\n0uV9KzvY6xhbPe1rUbYTQun47TjnE0VreUf5byePFTJm0cxru19TpMbkcUq2bU5Hnea9A+9xPfG6\nw+pouaVT9U683e5tDow4oBj3RcHDC/Aa8JcgCIFAK8DzYMIHiCiKxGdalsqaL27O50c/d9j2yXpP\nqz6fu23pZGQPyOAFhwgKkwcrtfHz7CM1+euVDozpaJEGm/2UelY6pUd9SLbE2z0Rlm14JoZBqoMA\n8ZOLHP/DZGSvU+WmYF3h5CErA1jvA3L83gvr4T0XD/wDflaTs5IZsnGIEk9tLaKfZkhj4/WNvL3v\nbVZeWanqyM9F520VJ2ustWhz8jLfSLjBtfhrqjCGLHMW3536jo8OfaSoKtxOvq3oAduy4MwCj77r\nl97SKoV1B9umkt0ijB2PlJpA8pVPAAEvndSxbr8QyZIjt1S6p7O3u9bWtKZ3E3lAUHt4bX+7CQET\nuBpvie+0rnB2LxjNRhYFLSLdmM7hcEljW9badka/Nf0cTnytDVwfnY8iYQiQfmcYWbGdSb05Be90\n+4ISn3T6hOfrv0yzLPsQEB8MPKq7SBedJVRFTpDJq5AG0eg6AdMjzMUQTSXct8tj/H31vNG7AR3r\nlcc//S7eaQ5C5ETZHPHsnTSLZjZd34TRbOSbE98QmxHL7lApPvJ+FJTxlJe3v8wHBz9wHhsrSH1h\nYmaiR6siVf0lR4y8+uNJnG9OyDRa+jdfL1+q+Vfj006fMq3dNFXxklafHmTC0lOYzKLL0BYZH73U\nlz1UTjKkTMmRDNYdIsTParVr+/vqk1aMcDyOylRsBKWqwluX4PnsanBVWsCoNfBRtCRR1muG5BRy\nUvwl7IZ9Qq8zapeuTb3iUt6IaLRX+JFXwcr6O55wZZoyLf2nKDr921mHsnxx9Ate3fWqXZszUWfs\n9nlK9RLV6VC1g2rftqHbGNZgGF46L8r4lSk0pb49mtqKongWaOe2YQHDWUlgW3o91IuxjV9jw3Up\nPir1xuvo6lpmn3cT05mRrTWaFdcFnU8sWXGWmtu7pj1GvYrSwNC5fgUWH8leIrNaPqpZrphkVKy1\neCI7xq4D/oTfeub8H1emlhSaEPCx9HLKBuCUE5CUvbTqmz1A+5aA9HhwE6Ob00D1vOZExAmuxl9l\n7qm5zOup9synG9OVwgCRaZFUKl7J0SXynJkdZyqek5x4357c8CSAEssJ6hjexCz3iTJ7Qvc4Pda4\nXGNlYiBXynup2UucijzF6kGrlRAcV5Tw8QGzNFHS6wQmeqgJ7YiZg5owssND+Oq92De9O+/vvEhQ\nBqoO2xpbIzQ1Sy2rllNSDamsvbqWUj6lmHt6rvT7Zn+l/Kw4i3G0Lctcs2RNXmn+CkMaDOHDgx+y\n8fpGfLx8GNZwmOIZNmdWwpgodYlxIcMBddxgFf8qPFl9KAL2oTWjvXbwsfdfqn2y+ZZXA0Z66Bj0\npQIRjY6ra/nodTmKl3TEoJbV2HTOfdzo+13K8O3BGAzo6dGoInusQr7Gdq5NTEoWRpOZyqX8+PNw\niCK/CMBcqapVnya7QOWAl34xoxNJJVs239jMhwc/JDo9WpnczDk1ByhYHl45lj8uI44q/lXs8grC\nksOU5NsOVTrYnW/LV12/4lTkKUr6lOSNPW/kWFXBHWkGS5+mE3RsH2afIyCz42IkY353X5b74md9\nOXs7gfN3EqlQQhqzWuweQyef4Hu7WXkFs1Q1i4Po4UGg85L+s0anw/bJyojsjznDfiXXGWdvJ+MX\n/zIpoY8hmhyV3LWvFhhwK4CTESd5v8P7tFtmMbmi0qKcTnBe3/O6sn0vK5jOGPXwKEY1GcWa4DV8\ncuQTQDKCrSkslQ+LZKW143ePM2brGDqtcF36V2Zc83FkGXxJvTmFtFuvYM6spgisAySkGVgiG7Hm\nYmTceRbMlpg+2di1w+oBXfJESUi4DSEOtABzISHGqLWWF1hnKZlI8fJQqwu0HAkTs79r7Dbo+TF4\nu45DPBHiuXZvbriddJt39r/jNHlLHngO3TlkJ0W2L2yfpYylKDLr+Kx8uceRjUeq1CqsE/lyY4xY\nJ5Z8dfwrZTssOcxRc7e0qNACcJzo0K1GN4LGBDkp7yohiqIim2edEe2lE9h2wX22vyN89Tpe7FQb\nX70XnF1OrT/akO0wVgxdd2oNrgq/uEIURUxmE18f/5pvTnyjTBKSs5KVzlev02MwGTyK3a5QrAJb\nhmxhSIMhJKYZSMqQnrli+mK80OQFRau3iTmKJ3VyNUMBuSsNT0hn/JKT1P9gC9tOOw6RsDV2wdIR\n3+uAkXpzChkRTyAaS2OI6+q03ffPqr3SpYu59nIKmFnp8xnddRZP0fznHJdKBkkTFcAbIxNODmCW\n928AzB2hPmfmoKbMf641P41qy8xBTXinXyN+e8Het/JuS0tf2v/hsoii9IuZPHwn5WIn52PsK2td\nS7jmVIv0fiOHBfRZLU2U5Rh/GeuViGMRx3BHhWIVeLL+k0qflp8e3qfqPwVIGs213/uX+buucuS6\n+r0+eM190ZniPno61a/A+G71EEQRru2iROI9GrsA1p784uXgvVDo6iRZS/DCaKfaokMUpWuIxuKk\nh1vyY0yZ9g6YZ34+wtEbcYiGcmB2pOGenbRm9ey9tfctll9ebpe8/N2p75z+va1XyvKToQ2HOj1W\nWCprFkmD9+UdL3M66rTbdj/3+oXHaz1OvTL1iE/NwpxRE1OatIRt7YWYudGxpMkHAxrzzbAWlh1J\nd0EUea1nfV7qXEdl8NZZ1Rvm2hcBIMNDKaz3QqGj1VJFqaoWI1fQSbFHAMXKSGEMT/8EZWtL+yo1\nhm7uszCT0vNPH3XxhcUMXDeQrTe32v1t0o3p/HLuF5UsmK3U0rzT85QqL/m5bNKyYktOjjrJiEZS\nKVVrbV5PjJE0Q5pDiTtQezW/PPZlru5vUD0p7tZsNrNi4Ar+r/v/eXzuzouR1Hl/C+2zJcV0Vh36\n9NWu690DvNe/sepznyaVGdqmBqsmdEQ4+xeEnoD1kyAlgjIG6f1xFcNrTW4H4vln5tNqaStFjUOe\nCIiiqCyzXYi9wG9Bv3l0vVK6mszefhmDyUzLz3aw87IUAuSjK4YgCPze93dGNBrBRt3/Mc/nR+W8\n476TeVe/gi5f72bHxUiMZpH1JzwP01AW6HM4YNi2N2fUxBDfxa5d1dJ+zHu2ldUey3kLX2jH2RmW\nlYiTH/Xm8yebqs4vQQYddJf50Wc+vRpX4p8RNWD7hywa3ZqPn2hCyKyBVC5lmSi2LZfFYN0hiiH1\ngQP1UtVJf18vBraoihcm/FEnnAmCwOTu9alZrriUrHvbMsDXXzdQ2f5pWEPkX8xgcm2oXom7wuE7\nhxWjwlGZeFCrvdxP4jPiORt1lujssI3cFrdxhjxhlz1wed13ZmQbvOlXP+Gp+k9hMJl5Ljsc6ruA\nYJ777SiHr3teWfH3F9tJspx/DICfukg5LMuG5OymnHnsbXNU/EqBgwI/0jW8sF3vFA1lpdhjQETA\nmGQVNiYKZMV2w5hSH0NyEzJjXCvSVC7lq4TlRGTYh3h0XFF4itl+svECQ36UElk1D28BpoK+Od91\n/w4/vR+34+w7ws/1v/N/3pZBrV5Ff7o1lBQodJgZn/47w+sDZhP82h3+rzGcWMi0xxsxo3dVlcHr\nlL0OPJWVHRjGfqXUBq+Pv/S9IBm8Pd6HTxLtl2bcYD1L9crZqTlCXgoGS1Ww8zHnab64OSP/HcmC\nswt4/8D7zk5X4clkxhMcGYuyB+/dR94lYFgA5f0ssjepHkggDVo3iGc2OZDFySPK+ElL1CbRRLMK\nzVQhEwDrz4SzOfAOwZHJHLgqDaJycQB54pacaWRfcDTRyZ4nsFQvU4yJj9Xj5Ee9eaR2Oba83pXf\nXmjHd0Ob0tI/DjZMgUUWTcguEZIX09MB1l2NdplMUyav7XpNKe3592Wp4qAcliB7ssyiWVFoCLgV\nwE/nfvLo+lfuZvHDnussO5q9oqOTfrsP1khxzFdDS9G6+MtKxxniN5JNPh9QSUhgkn4T1vZncTz/\nfWXNT09/BxlPw5BGPVqLJ1tV58VOtQGoaBU28FijigiCoCSHVfAVGRb1PaWQvEwCZnyQnv3ielj0\nYnva7xkJRxbQq1IKL3epA0BiutTm5Ee9YcUIvvf5gWqC5JH0EzMIeLMb+lOL+KHCWuZ5/8AFP4tG\nth2H5sDvjzs+lpmExTvm+vkatmkYEwImKL+Ts6SvBxXW0G1lN0ZvHU3Pf6SwtryqqCUjG7r5ZfBm\nGqXf1WjyYmvQXRp8uJWIJPW4N2qha09002qlWJjt1W9VsyysHAW3DkFkDuQYh2bnu5SqDjNiLWNl\nh0mWJO7G9gWMnCLoMGRPmA2JrTAbSmFMrY9oliYQxuQmAKTefE05JTNqAOmhr5AR9gJZ0f2Vqm8y\nJf0sz1iPRpXYP136m59P3Gtpk0/VHmXWDl7LliFb3Lab2maqIiPnzoi1TnotEjG8hYGotCh6/dMr\nR+f0nbufja92pkWNMuy5Yh/sPlovecLeMkwGYPvUbnwXEMz+4GjebBwPRxZARCAM+BbuZC/1bZkO\njQbAnCae3cRRB9n0TQY7ftlLVZWSztKyl7Wqt5X+X9veo+MpotkSW6T3ytvZWWRqJPPPzOfjjh+r\n9r+x5w1OjTqlSO3kNGEpKMZ5R+ij8yHLnMWzjZ7lyN0jLiWHSvvYJ/aULyYZuN46b6r4V1G9wOEJ\n7iWQclOdJieU8ZUMXmcd49SValmeza914Yn5B+3aeRJLZ027bC3UCiV8WTUx2/uw42M4/L3D9rZL\n9K48lw+VfMjjjvJc1Dn2hu0lxZDCH/3+wNZ+OXLH4mnIjddYNEmD1KebJCEaQScZcfEpOkRR5LXs\n0rgDrULymutCHF6rWE4MXjlpzZyzd9A6PCj15mS74+/qV9BNF8hBnZSf8NHAh+nbtApta1kS8ry9\ndJAYxu5p3Ug3mCFwJcXOLGKa/jYzjWM5VvojyviYIRmQZd7kPAFTJtzYB3E3eK9fdz7ZdJHyu6Yp\n/WFpLLHZDbxjYIu00vSEPLne8KrUf3r7wbVdUmKRMRNOLXb+j05P4LDPGzxOdSLSXZdUlpE9vM4K\nu7hSP8gPjGYjr+5WJxftur3LrvhPmif6sTYMqDOAztU7q1Re8ivGMtOU/TyIOn7c6zgZzfqRntCt\nLm/2aUirjzdw2W8sa0xdqURlut4sQ0izEIgpC/GO/0Yuafo0VGgoGbwA9XpK43OLZ6RxcrDjfsop\nVoVajKkNpDDGbFKuvotozM6PEZ37DOc921rV9wZ90pdt5+8ycdlp6lb0R2/lYTobdZZWlVpRv0z9\ne0owc8X8nvNpULaBXVz4in6b8PUxMGSjxZM+otEIFpy1T5puWWI4J26Fczs2jYfKW69G3N/3J7cU\nGQ+vu0xsZ0QmZSKKoko71xHv9muM3ssiRl2jZPZcwWwGVbyNKMXquqKagwz6QVZJWo+9A29egNcd\nPMePhW4AACAASURBVPh+paGc5FGhdmd4NwQa9Xf9fS4wpTQmK1YymL10ue8MI1Mj7YyWb058w4br\nG+yquABM2zfNTrYlLyiWHafsp/ejR01LRq2jAU2Ol/P18mXfiH181ukzmpRXT1R0go7vu6zEmNKA\n/JKxkEW7AQKGBbhoCY3LNmZa22kehzKcue1c0N8d0/o0ZPe0x9j8Whe+aRkF4aclo2R2fchKdWrs\nAgjZv9VL219i8YXFXE90npndtHxTjw1eORZYlv2y/bvKYTFm0ezU4F34+EKHZaT9dRXJjOqn2mdM\nlpb2RUM5Wn/u+m8D8IrXv4z32kQ1YigmeG7wyv8KQw5jSWVZtYyIJzBnWMoFyyVaJ+k30VR3C322\nfpfeS0fHejZi/XcDYU5TSgW8TWWvFOTn3Dfbq1spMwQfWc7I9v4yk2HJYNg8lRc71yHkk64IZyyl\nrP/ysQrdSXMgAXlmqbRknRgm/X9OU5jfBhJcaOMmRygD14aQxU5zAsZuG6tsyxXGbBMUZXLqWc8p\nR+4cITjeEod6JuqMSoUGYOqeqQTGWEKLMowZHofiPF3/aZqWl57VBmUbMLjeYKa0mqIcty5gkJfI\nHl4QiExyv6L5Xv/G+Hl70VQIAWCo1wG6xq2GEwvh2k4IO+H5l1e1CtHReUHVFuCf/WzX7yUpL8hO\noZyi88JfttRFtV9QNJZFKhxhjf34UqeCv12p5L5Nq/DbC+14xbCC0rss9btGbx3Nmagz+WbsAnSv\n2R2wjHuZMT1JvvQ/lhxIpEHZBqq2xb2LO4zL9U7qS2bUIC5FJJGeZWLTuTs0EMLoq5P+bkY3IUYP\nmiJj8CZk5E48edySk/T8bh+Z2RnLfmTiS5Zqya/1Q2WY+FhdwCruUe4gjRmwbpL6oq7upeVz0GKE\net9j79kXiChdA8rVhQ4Toa8LFbhiHuj0ukRHlpLc4tygS8lKcVqvPTQplN6re7MoaBF7Q/cq9b1l\nb4LsybVmb+heVbnTvEKOgdPr9EroBDj2iDYt35T/dfkf+0fsp5xfOZ5u8LRdG4CyPtUQzT6IbhKv\nmi92EIriAdaGv8lQmuLmesrn5QOWq9r6e/vzYrMX7QTlwbEH+uMNOSipaUPjMibqHn6PZhW88F05\nHH7rAQEzITUavq7j8ly5+7+ZeFMVzmJL5eKV0el0HhscZnkJO/sLnJWDFkWRA+EOEkSBDlU7KCL5\nE1pMUPY/WnocJcxQliR8yWKqfjVCbEdaBg+jjTmchDT3IS0fef/FB94rOOz3Op/p/1QfHL/X4TmX\n6r9CaFkpycvdEr0tSjETm0HZ31f9bvl42Q/I5f2zEzKjs2POTy+G2fVgxwwA9IKjexFRxW38YTXZ\nNqRDktqgVF0jy4lqzq1D8Es3x8cAmg1Tf04KV5V9nbhzosprlW5MZ3/Yfk5GnlT2uauimN9LseMD\nxjN0oyXpx7pvcoathrwrPuv8GW+0eQOA9lWkokUX7iQSmyJNuvIvpMGQLa+lI8qDECk5rr664CRJ\n1QN1GUVH3t9xGXQF/T0UUhJ0lJDfRdHyLskhQRacj5n+vnoufS5NoDvWlQxxQRDo06QyugOzKR64\nVNV+6p6pdtdwR53SrvthR3jrvKkY8z1Z0Y8DjtVanDmjqpWRHEoRiRl8ueUir604Q4DvO7ym3wDA\n2bDcO1juB0UmpMGTGuH1StfjeuJ1shLaYUy0VKW6GWPpfC77jSVJLI5x6i2YLe1bN7mzclwnQFdd\nIE+fz469Dbd0qgqxLnQG+82CwFXqfTXaWWRSes1QH+v/tdt/1z2TvSxjW5XKGjmIPmiMfThBWIq0\nvLk3dC/fn/mehmUbsmbwGrdf6+il8tZ5Oyx/aEubSm0cxvLKMXC2Bq/1Ut7YZmOpVbIWgiAoSWCu\nSMsyUo4U0l0YvM7KFTtjWMNhNK/QnJmHZ6oGoXk7g4m8Mo5ne0bQpX5lRXIMYHjD4XbFQY7diCXL\nZCYhzaAst+cVD1/7DS4tlZaZZeR7dSNg72qxID38Weo13M+d1DvUKV0HHboce3jjM+IVmTpHHLt7\nTMnMtyUx3UBsqvRsdKjagUPhhzgfe57i+mJs851GDSGGI6YmdPS6yFS9pVJj7YzltBGCET1cvqun\nu6veYUgH/4rShMGKhs0eYcdZSd7LU7UAs2jmZuJNSzUn0dbAVb9bT7VWywhx5wwHOhwjvOUbcGeD\n+li2cahz9rzHhzjeH3kRzixxftNLBjs/luZCpePRSXDeqgrelrfRWyUbHY84zpmoM+h1euIz4vng\n4Ae0rqRWg9hyw3XcYn57eG1x1dfKOJMl1Ov0Ds/vWK0jJ54/gV/2WDLw+4NULe3H4fd6KoZmXmfR\nZ5mMeOo3q1E2Oz7ZkM6X/ivBYTfvwf017AfRwdBxsjT5cjaRuhcEgZLZBm8xL1+SgXFd6zCyQy0l\nZrXNQ2U4EyG9yz6UwVnwybUv+1sq5MWHQLgk/2jbizgrguWKkt7ZqjHlm/BMw2f49Minbs/5YvNF\nbkRLd1ueRAwme6m1wLAEej7Uk2WXlvFI1Udo9dkO2j5UlpZlMxjntZmUjIYsO2pZyZafAF0Bj2wo\nMh5eZxp1XoLFpg88PZj08GfJvDsUU5rahf96L8vnUkIaZaxleqw6CUEQGOplUyLQlgNWHq2RVrIy\nfmUkFQX54Ze9s5WbStminyRa1BbyGdkgmT2sBe40La2NkdORp2mxuIVKRUEeLGTDNzwlXKqGlgtv\ngmzsystzzpDLVdoix8DpBb0q/s267OWjVR91KbECkGm0/BbmuFs86nWJ8qLzDsnR7Ny6+EObcuoE\nnNEPj1YE760H23SD9Js9WrGfKtQBUMVCf7X1Em0+D2DEr0cZveg4Z27nboXDGd4YqXFpofTB+rlw\nFxebnVTnrN8zZVTGmNSKpQMk70Yd3x6YRcFzgze7XXB8sPK8OcJZLHXarXG0/HQH0anSIBkV76v8\n/n7evtQQJCO5o5d9McnJXutZ6/sJ63wdl612S41HYMpxGLcHXrNM1rxMGQjZqx2eLgkuClrEUxue\nUuLZxWyDt4SvHl+yOJw5RCXSX/LAF7D9Q/ikNCwdAr92p/jh2TQwBkOmY4OhpXCdHT7T7Q/84SSE\namFPOPWnR/efIyray+zpbQy3q/FXmbRzEh8c/ADATinFnf5sXno+I1IjWBi00KVx+ebeN91eR9bk\ntcU696Bh2YaqY7KxK3/33cQMvtsRbFmezuOwLKPZ6DKO1ZpRj2YXZTr6EyUNTkIIbx91vN864axY\nORjwjaRCVK4OVMndypo7XolPpnK6Px1qSFrQta1CFHSCJL0nZlUk/c4wKmW85PQ6ei+dpMF/djnM\nawmrnbcFSRrTHRX9JCM1ND67WqCg5+n6TzO0getxDWDhwZvoMNNLd4pTfpNonaAOOTQktGX4L0do\nX6U9QWOCaFyuMQlpBnZdjmJgyNd86L2cw/vV58j9vZ93wTYpC/bd5QBn8XqJwW+TFvoCxtQ6mLMq\nYExqhe1w/PuL7Xirj7rj0FlPVeQCEjf380rNcJ7ychMvnG7VUZWuYdmulW2kyQZvk6ckI7dUNdfX\nywfm3vJiemhJapQtbqVp6Xiw/S3QEke24OwCRESVnqXslZJnqOX9ytNmWRt23d6FK2xLJFobsbbq\nAzKjHh4FSB375Jb2STo1Skq/t5fOi1dbv0rNkjX5uuvXKo+Pq0zouNQs/jx0k0YfbeNuouS1NaQn\noxNFvEXHz5jRbHQYQz6j4ww2PrWR5Euz2HfIUlykU7VO1C1T15JIIorM6T6Hb7p9Q3qWvUauTGK6\ngdrv/cuC3Vf5Zd8N4lIt9+Otz93UuhQpfKX/TZGPqkg8/qTTX2eVWX3aKoEo1o3mY3Ysum3HojdV\nVH3+fV8cyZdm8evW0qw7c4e0LNdefXlJ2towuZty11lzp5iyheNNadJS4JSlVxUjYO0hx3JyMu94\nr3J53CmD58Mb58BLL+l/Vm8D5etB++wiNMYMhOxfzGjyTHVBjvW7nSR5WSr4F2fByNZsf7Mby56r\nb3/CoblSEg/Adav38reesO1dh99RT3eXhjoHMa/JOf/dc4RvaWmlq/VomHre4TK3rWpwSFKI6nNO\nV1zy0sM7dc9U5p2ex2u7pQx+a8M3Jx7WNGMaDco2YMOTG1g+YLnSb9UvK/195/WYx/KByzn8nH3f\nM/ZPSyzsgj3X8i2kwWQ2KQZvv6b2YVYl/fS83qsBz3d4SJLqBNfqRUFq3WEaDYT3w6CdlZHoRk8+\nr+icbmBYWH0GN2/CtqldeaZtTUWvetrjjRAEgfVTOmNMbIdO9GfGgAbsqDCXdoJVPxJ/S5pkrp8i\nSTa6oVHZRjxa9VG7/Z+32EZF3SPK5ztRUjhHTHYYSXyageXHw3i+nmuHmSG71Pk0/SoW+UihIY3T\nTnHshmWFJevuUMXHdz48kcfn7FOOyU9Piaxo+uqOK5NquVJksZQQt//GB0mRMXidzeBFUzFMKU1I\nvz0B+0BziXL+klfw0JNWixJ3rcrVyjG5iwdR8u+nHN9A709h8lFLyUKQso99rTprpeRvzspi5gfV\nTAb+v72zDo/iWv/456zGEwjBJQSneLHiFCgUq0ApUNpSo73U3W79V7ntrdy299ZvHahSuaXuSpHi\nFCmuAQIRkmxW5vfHmdlZzy4W4XyeJ082s7O7sydnZt7zyvc9z7OSk3a8yt1jpTfVEyF/cNW+VUHV\nmoaR4fF5KKkoYeGuhaw7EGwEbSneckgX1ocHPex/HNjWNRDDA2yz2NiyoT+ZB6dwTodz/IZw41S5\neBAI2tVtx7wz53HNS4IvV5k3abvFzi9/7eX9xdvw+TTKKrz+xz3u+5K79Qp9Q7bL5XIhCOhmGkKk\nDl5WYaVVVqugHCtD27dNlowmGPnGaY40hrcYzqktT/V7lm0RYkNd7/kCgMe+DBdh37Q3/k5lfx/T\nAYAsilmWNIMptm95q/dfrL53FN+m/Z0/kmdSTwTkxhZEbqAQRptT/N38CgJC6ud3PJ+sUsNrIb/X\ns98HpP1oljCDt6C8wJ8zvm7/OgbMGcAH6z8IWtje+EME72Nl6ALw5TsncHDDNeBL8n/2BEu4msUR\nocvZpiZ2IMb1ILs1QjdIvFEKsArKC9hQaP4fDCPdCG33ys1hbJfGNMlKpld2/MVyx5xTouhPX7sK\nxulFkFa7jHSd9jRkNZMOgjbBEZJQD28spZcxeWOiPmfgSzB3OhL7y/ezet9qDrjk/eL7bd8z6eNJ\nQekH9/x6T0JG75CmQ8jLyqNzTme/9+6fg/7JbX1uY2izoTitzoj1Cd+t2cMQyxKaC1lPMe1Fqcpy\nqB7ebcXbeHbps2HH7tG8GGaEEDCmcyNeuaAXsy/py/r7T2X53SO5bkRb7u9nxVG+D/L/hO8TSNMb\ncS840011EOODjgE+BAIfTpuF9g0zcNgsJDusbHxwNDOHyDqLwNShC4ufp23J77yV8S9+vVV3cBiN\nppa8EddnOi0Z3PWBPM81nxmdTtu/ipbaeeaOQt4nvC4ZuVy79kTu+GAFIx6PHH0e1nwYu4vKeV1v\noDXSYqZilrkqOFvXTu5TVo4dj3+WTH95AWt3lzDN+iUnWxbz+x55fc8RhZxjNRfO/v9IJbnyVU2t\nyeEtqYiyoteiJ66P7tyQr1fnk5udAh4XTT6/2Hzyu4CTcs+f4SvPQC783Lx51e9gbu99iVRx6H0p\n5A2WcmVgnrBV2JWknUUPB399D8MmdedRwBfg5dA0jReWvxAkbQNm2sK2km0RxbFTbClRxd0rwwjH\ngSm/FYpx89ix383s37cCXbn5b3JcT8o6n2/zTW/kX3tKKCpzU+H1saekDLv+lm2z2tL2n7Li/oF5\nq9lbIo2oWfOD1TXGP/0zr1zQi/Xb86XBG+W4I3mTjMKRQG7seSvjWo2jY12pBDG42WCuP/F6JrY1\ni3IMD68roJCgf+P+/PCXeWyRlKs+XxkunN8wIylMExPg4oF5/N8nqxlkMfOxuzTLhic7gkdGJ+60\nvx72upic8x60GS7n+8gHWbnqbUB6DW7odQOf/ySN9Yq9kaQDw4vWBr81mBRbCvPPme+vbv95+8/k\nlyYm++bzpGGxRQjZa3bSXWlUUM6GfC+2FPBqsbuNxc2pj+D59BZseDmY051UmzPyfp0nQuPukN0K\ny2+zwBvd4J36yVS2l2z359AbhodL3z/Jph/7olfg46uPzPc4HKZ/Aq/ohubIB+BzmWpgLvpDyGwi\nr48fXyWr7UMZeAOs+8L/Z6jrYv3+6Abvvf3uZVqHaUz5ZErwWzYZxI/bpYFwJDy858w7h63FW2mU\nauZEri5YHVRY+d6697i5d2SPeiQC1URu7HUjV/W4imRbMlPaT4nxKskrjodxa1bauF6nxOUllUP3\n8F75zZWsP7Ceca3G+dvKun1uFu3/GDt26lGI29uAF8+PoorwzEmyC6gjNfLzgdy6HR7Uc87t+j3B\nqcuA9Q2P6h0tfMKCFR+Nd30LXquMyqTWR2Q1kzuUF5K6/WcesT3L275LYYGMhFpdhTRylAPJ8Wnx\nB7BpXwk793lJzUTPy5f3u+SSrVR48/wuSqEbvJo3hcn13uKF1cFSbt7yhliTZNph8eoHmTa4H30e\nkAbqB447aG0xnTTlLrlAXr5R3mOmWtay1NOKbvd+gbu0iLOs8/k/+8sAPOeR5/Rwy2IGWc37h19H\n3HpsvO+HSq3x8G4uMFcWRpcTT2kLYunDPTapGwv/PpysFEd4mC5wRVmwEb74e/QPj3YRB5mbO/ph\naD8mYGVa9R7eQBw+OeGNHN7NRZt5e83bPPXHU3yw/oOIr4lWQWyE2ww61+vM0yeH6/lF4o/NRX6J\nNGcUI8Hw8O4tNv8/Byu8CCE477+LmPW7PGnf/2Mbwx79njP+I8N9ml7F/tDAh/D6zNulYewCLN8e\nvjqd/vICFqzdGvNEiST+H8mTUl7hw1vWnE175UXw46U7OT1vKmmONLYWlPLAvNX+AsrLZ8kcz+Jy\nN13sN1C66fKw96uMB8/szIDW9ZjQoykfXt4/6LnuzbMoJODm8+nNUJJga+FBN8nfqTnS2AU530+a\nyXhCqoc1J8WrH8JTHCHfThNoaCzJX8LWInOBVeopRdM0/016cf7ihJuOuHaZhVJaRTYniE00F7sZ\nZfmdpUkz+NJ5E+Xbp1K+ezT2inCpsoQ5/3/QZwal2TLvzzqqko562dJT5PfwRjC8fJrPL6e1bM+y\nIGmtAj19qpF7P/x3VPzG7qSQBU2HGAVlkcgdKL2yUZ8P0AZv0R8MfdnQ9K0JL5me3bQcWfMw8eXw\n9zPC2HpYP/SqHq1oOTcjF4fVQYu08Dzg23v+k7LtMuqSqCH4y45fKHQVMn/nfDq/2pnOr3b2Owd2\nHgy+l4R6nxNJxamfYrastQhLWDqWpmls2286GIrL3ewtcXGCkAaQXXiZbP3GH55KVAXEoMQdvGj0\n+ryc8q70unusbl5x/CM8QrjhexnOL9KNq9J9lUt2DrhORkVPfwYymkKKrsTQ4iSYPAuG331Ix38o\naFix4qPzj5fB+5fI9J8n5HnNX9/AQ81p8ckUzrL9wH/Tnwt+8T9y4c2z4JPEanIKDrrwuRriPtCd\nsm2mR/eN3zbxx1rzvNc8xrVb8MKPwcZu8Z/3UropUONZMPHZX/1/dbMEF9VbQ4pTZzke4Hn7Yxwo\ndXOTbQ6P2J/3P1ehJxMNsS4Neo1xPnqPgtTokaTWeHgPuk0vm7e0FfB9WOWygR0PORwgyW41cyWL\nQi5CgZWfrshyXFgdkBreQ5vpn8Re2RnGnOUIeZQOk6R8uVKzuaRHbuzcBDrShNAwpSHLMLUkvV4r\ng5sNpmLfABzZsUPG2/a7cOWPpb7nLEojRGVfHfYJk+c8gTMH0qz16GdZQQ+xjld+bsszuui5sEmj\nde2O4JPYlT8KzZvCyNyR7CmuYLhlEVmihHe9g3FSwVjLb8xPHUHjoiXkk8UmzfTSpFCupzREXqAY\n4dAu9br4dTQ7ZQxja0GpbJOqU+b2cqZugH93wxCunrOE4R3qc+5JuREbQZS4PHS++4uw7dGol+Zk\nb4k5cEPb12doe3N+npSbzoCKX+CXjcydeQUlf5bDHONLVK6MQa+LZfHI66dLaaD2Y+GHhyPm1NUT\nwdt8MaMZAvBx7qfnAsFKIB/+9aE//zAR727v1CvJPLiIByr+Sa+Nd9C+jY+F63P4xBks9t9U7MXh\nScJb0I+GttlR3688pwtJeyppv3zlYr8Bm+GQt4AkZ1KsV/gxcni9nvDF07trTYWCc+adA5hFne+t\nl3nFrUr+hC2/hr3WT6cJsCKGcsrgm2H1R3EdK017wbT3pezT+R9Lz139jvDGBJkf3Khr8P72ZOg+\nDRa+JK+XF38jC9xAerkDaRulu5oxxzIaw1WLpSFVCd9O+tafNjTn962UbZ/E+I49+LJQ6p8Wlbn9\njXcS8fCWuku59MtL6V6/e1y6qaHNby7+4uKgv/My84LSVQKJFukyeGfhNm56bxnvz+xHj+Z1GPn4\nD+woLGdTkikF+ZD9RRZxHbsI1M1NDCOiYPz+esvXQSooeWInHq9+ju/fDG+dAwf0xeumYL3hmLTR\naze6TZU/gbSvPDXlSJLstHEB4RryeD3werCEZfr2CKkE6+K/dvvfuqwFYKV859mAOScFGlfb5mIo\nn1/g+403cNBdrGc+I7nD9jqLfG2Y5+sLmoMeYi2bN0/lgAi+/lgJn+d2PNxmezNoW0+LjKqFGsct\nRWSniGHwHonUoKNJrTF43QErfG9ZU1z5I3EXRmjwALzbeBZdCz4D9yTzQhra3WVzwEk6/9nIH3rz\nZtnWN5TKOp91mgj5q4+ZIkNlpCx6HuonkXZwo78IJh4yHBlhOqgNUhsE/b1s+wFWbC8kMJhgtziC\n/l8G3/wpw/JbC8q49LXVpOTK7Y1LU3hg9KfMX7+fir1DGNW6N82Su3KHQ7aMzP3CvPh4D7bGnrkU\nT4np0TlBbKRIS2HrnpFs3FPG+vwSXtQT9t/1DmaG9X9cb3+Xa4sFjztlC9r9Whq3ui/mG193csVu\nijQNX5RogXGzrJMkVTcmtp3IEx9k8ATfsvRO8wY+881F/sc7C+WC6KvV+Xy1OrIh98x38Xeg+9+V\nA7jvf6vYV1KGhmCm9UN45x046xX/PrObvCdD3l8APS8kzZJgGPfUh6XA+926J1zTpEema4TwakCL\n6/zi8tjZO5oFokhgbSjcQF5mnv/vZFtypQVJ3vJGtMoZyITN75EkPAyt2MNHy/WCyAhr4DVJ01no\na+u/yPvpMhmWyRVBUo8p4D0Tvro7eB97Kty4Ti6K0wOKdloPg51LgrfFwKKPV7mnjFX7VgU1QAlV\nHABYuS9YX7nL9k9jf0CDE2T6hBGpsgd0SWpzCjTsBBd8Ko0Udyn8L4om6KCbZAGRoXHaMkA/d9Kr\n8vUNQrpM2pJg9CPSO2e1QdMT4ew3IS34WhGT5Lrm9wA8aeFSSg1SGrC71EztqZds6rR6fBqeoh7U\ntbXE585A86bx1ard/oKrRAzet9fIRcbKvfFpXN/3231Bf+8pC1YoyEnJ4cPTP/TreDdObcytfW7l\nym+upF1deR0rrfAw6okfeXhiF/rqmq7b9pdy03tyEfbtn/mkO23sKIzsaHna/hQTaUTZYRq8RoTN\nyFM2cODmrJ5N5TXhXyEpKWs+Cf47pR6UhkgGTnkLCrdC8/A0uarCao1iHt2XLZ1dh9DJ0U+H8REX\nmBV7zPbsjThACdDE7UEAdQKEzzJEKeBgiGU5mZYFXGT7lIv4lHvd+xFo3GF/gyJvMhmijGssM/nA\nN4CWYic32+aEfWYHyxZGiODImVO4g1ReDMZaI6toGL4g3zGW90uUWmPwBgmva3Yq9g0Nerp3y7rc\nObYjn67YSZc/dE/Iwv/KnCAhYHeMi5chpn7BZ9JLsuAFKYXiSIn+mljYHHDKfZXvd4ywHcwHmvOR\nbxUfzY1/FT2ixQjeWxfsNfp6zaaw/cY+9RPO+qZBM6bxFXywLbxT2LzlkVePJ2h72byvFLtVAFbq\nWbvwzMc/Md1I76ICDUEFdtyFPXEXdQ+aD584pbcjt3wW019ewJ4DRZyqv7arWM/fbB8DMMNmXpjr\niBKedTxBqeYkRbi4nbpRDV4jHGoU2v3w1yZA9oaf8KxZQb04QDps077Ki8zyi+IrPprUsymdmmRy\ncvv6PL3jbIq0FKkBuxJp8BbtlOoKgZJRDzSSjU1ikd4Y+l0Jn98Kw+4KMmIBed4MjyLRFdBU5OHP\n1rAhoKiuaZ1ktu2XRmt6ko36dVLJj+I9/3bLt7Q4oYX/78YpLfirKLqaguZNomzrBdAMlh9w0M4K\nqUJ+ViTvhkGQsXvSFTLCM/xusNhkwYk9Sep+/vGmHMvLf4d/94Zhd8i8xNDcxKG3w4nTZW5qHBge\n3lfWvcri+YuZO36uPz0onnB7/fLYnSKx2OX/ssM4WPmBNMgNzta9Oy36gTHUHU+DhwPSUibPkvqn\noXMgEGd6uLEL0qlgsUJShrmtQ4JRpNRsuPhryGkPwP4hD8HK4JbleZl5QQZvIEYof8PegxxcL/OJ\nH924FmtqYh3IPD4Pjy6Si+V4tN/jIVRS02qxMqTZkKBIx9rdJWwpKOXBeav58ArpUPl+rfk/f+qb\n9Tz1jbFADj+XDHeDy31oBomRovXGqjdYnL84LE3DJnyc1rUxrImw8Fo513xsT4Ub18M9AZ7rzmdB\nu1Hhr6tqYjZGOoTCuSsXy2jIexdJPf4R98DHpwXt4sDHuy3e56mtLXnB8RjLdjho4vZwFxpJyPmW\n4fUyrbCYbTYb0wqLGWAzxzew9iJDv+494fgPY7y/McIaOR3MkGI8HPyt5I9yA5fDpdYYvP3SbuRt\nl97BLMDYeeWCXri9GiM6Sm9CpyaZsFRPJfj8NnmRb9wd9qyp/EOanAirpXFE57OO5OFXKYmeRID3\nYwAAIABJREFUup6S1tjS1uNzhXtZthTmY4vYLMe8CM9ZsImkRmCvaMOBreNIbfWYf58Jlh+Z5+tN\n4K1kSlEx095ewKS+Ut3gvz9vZIrVDCXeZXuVqbZv+cHbmf/5+vK2Vy52Rll+p6EwtXMbUMD2A3XJ\nDlgpf+g0G31EMohS9Paw0gcZ28NreGN2FJqG7fr8yBqnz0TpOx/IO4vCdWb75tXltw0FdG2WxdKt\n8nP+73TpGZoxKA/xbSE5IiAX2eeDp3tBpC55lakvDLkFTjwf+lwaOZIRC4vF77R9N+R7DGtfn5En\nNGTqi/Ppm5fNLosdInT7ASk39Z8l/zHfligFYEC7Pe1YuHc6/S0rmLc0h1z9OpCGvPBPDagqjsnI\ngLxbo+pY1xdm8puycUy9tqanOxIWK2Q1j/586O56I4XFBfKmtGb/Gr7f9j19G/WNq7I+JdSFbnUG\nNwex6NfEOrkwIMR7a42QWuUMME5jfc94sMWX1lEpTXv6HwpruDGSZgtumXzyP79jWIf6CCFIcUQx\nXnQP74GAHKoD5Qe497d7ubPvnWTp/3dN03ht1Wt0yYlQUHeYuEKauIR2oFy5o5BvVktD3qfBf75b\nz9er8yNeW1qKndQnXJPbKCpyueNIXdIpKC9gxd4VDGo6yD8H314bQ5rvs1uiR0MNbtoQrrJQcWhF\nzkedWIu7ShrvAHDRV/CS6bE10p2YpjuJyoL/T97S5tyT+T+67J7LC3oApYtL3gmvt71NS8tuvHtS\n6VHuIl3TuH+vvLd1tmwCoEKz4hCRFzTRjN3DwpmJz+fF4i4xUxpqi4dXSGX0hcB2TdMOPcnzKFHu\n9lK66VJs6SsJNOH6t66HPaTrUFA45Ys75MTeW0n4eMJL0jNrhPIOJ5xRwynfcTZYKpi1bQfJTUOe\nFMEXVF+FDCteaPuUN9BvovpJafM1JLvCgWvbGbhSdjHUsoRHHc/S1rOVh5FFVl3KXfQqd5FFCd/N\n/53VzpsZW3F/UGvRqTbZkWiQdTmDrMv53deeMs3Js44ngo5lftIVtC9/mT6WYP1fgywR3etqIXqJ\noeEdShfNKN81Dk9Jhyh7mmwpOLSL/PAODfhtQwEut5dku5UytxeHzZAFimCQP9Y+srEbD0brzlgX\n/iiIKAZyc7Gb6/r3IK1uNlcMbc15/VpwyUdziZbSAMFNJByW6FXAo6zzGW2zcqHtM+4tORe3bjgM\nsSxlt1aX++yvVH7goW1sS3VN7RQ9pJ7TTnp1jzAixMhZsGsB7617j2bpzcgQkT3xnoMtGdv0Yi5c\ncWH4UsyRAmURDN7IHx6+LVo491A4Crqp1ghG+v8Wl+IMkHvesPcgG/SCnksHyTH85s/Q9CH53Vfu\nW87QXFl8PGfNHL7c/CUtM1tyZXeppbupaFPMFtmHgyG1d2ruqXy66VNcITbpmCfN2gcNjYc/M50z\n/S3LedPxIMNcj/CX1oRvnZHT5Iz/cEV5/F3JZn41k5X7VjKwycCoXQsBZm/XI3OVGbtg1q8EcjQ6\npR0JDtdbmdMudupDyDmZunkK41NuibhrS4tc8JxWEv0eFc3YPWrUa4PlwBZwl7Cj162w61V8kSSE\nqhGJuG2uBiJbCtWAcrcPb1lLXPljSXPKidQ3r264sRtq2G76ETZ8B0Uh3rST74AzX5S6kVPfMYsr\ncnRjJiv3iH+HmsDBjZejedPR3Nl+5YNAXLvNam/X3sG4dsu1keEdvXnffrKNPuo+GwuSZrLM/S/+\nb99OugjpcWwi9oVVjtYRJYy2/E6yqOAs6/fR254C3zmvZ37SFRGf+8RxG/9xPBnxufoiercyAfii\nuMIND++1by3Hvb8/mjuyhnA8JFPOTOuHUcPveTkydN6trodfpqXzzfWDzScjdcoriRzijQtnuL5n\n3EQxkn9wXkvmC72xWgQ3jGxH/fQkWZQmzP9nrPa6VmGjfOcZaJ7wdCINaCVkRXiu2IVdl/Tpb13J\nk474lELCIjcN9arsrBbh+x5BLCHj9dN2aeRomsbKou+DntO8ugGp2dm0ox4dIjXtMHJ0s3XVlHpt\nwvc5VkTyIB/uW9rCrz2+ipwIe0q+XROl4FH38D634kl2luxkU+EmkqzSI/38soDq9AQdHFd0i3z9\nCeXsdmfz6GCZInFBpwsAWbz7ys/SUA81IFZsN2sm2ostvOl4EID7bBGULQIwOmt6XfHrdW8slMfw\n4/YfY+7XqSKBsQldXDXrW63S+4KIJBFYL1ztIypJGXDHHpkONnlW+PMh58WCpMtJ9RWjGedsdSet\nvv//KXQVFq2ae3jjMniFEE2BMcCLR/dwDp3ygFawr1wgNVA7N9EreXf84e9fjTtOz1rfmdDlLOh3\nRXDlcJdJUnc3tLq4liM8xk3WvDEb3ttAxiSbBUWN9nZnpf1vfOS43W8sCjTSLHJFf6DUNHLOsv3A\nVbb3AZkY/7LlJfl++oq2sdiLWw9ItBC74/PWRaCV5dC6RIkYVVeGh1dLMDnkrnEy33HkCWbxzvW2\nd7jJ/hZjLJGLA9o1zGDWJX14aMMZ1Jk9mryfb5byN7tWwL2HbmhHJCl2hXgs6mWk8M72nZRuuIK/\nj+nAF9cO4uGJejjYFVzoaAnxBhuFMemOdB4Z/EjQcx6fj1aFjfDoBam+8oYk7RjFhOISphYV49ar\n0nwIv+c/jN6X+uWtAime+HZ4LuGIe+Gyn2QL06NI6BgYuaiR2ie7iwwVBMGCTZHbz/rzD6e+DZf+\nCK2Ghu9z+rPQ47zw7QYNOgUXtyXK2CegUbdDf30MHHbTWHAXdsVBHTxFXbHsncqVbV+guyVYDm7t\n7sheRC3gFnjKe6cw7oNxvLbqNf+21ftW4/F5/HMyXpqkB+duj2gxgtv63Ba2Xwf7dFZulnPRn0es\nWfzNb177dRMA6ZSyKWkqp1gW0FlsYLBlKW2EOTf6WVexynlB1OMxvqVwl1DqLg1LowC5uAr8nqGp\nFUcUQ8njos/DVT2qC5EM3i4BC+JRAVr9em55RAZeF1lhIkrUReiFmceUQeFNfHYkS+N+f6oeYeo2\nzXyyeT95bayryyrqi8Qj3cnvSBOvh/cJ4CZixB2FEDOEEAuFEAv37KmkgOIoUF5hGrztGqbz1XWD\nuXGkPgmfHyI19L6+F54bWPmbXbMiekGaEFJ39xh1eznqdJ4EQF1v7JVZC580UoQmGGxZCmhoFTkU\nr36QrmvO8e/3VLkph3OX7TVShYsulo2cV1hM64oKRpWUku6SXsomruCmINaAwqX+3o0s3riFKcXy\nRvW8/TGa6Mn1p1oXcKyRjSciG71+j2SUnvJZFNNOBKtf/HrryeSky1WxJWAuTW4nbzLT+0c2sLKX\nPke/1IDiviVvSPmbPxJsFBER/Tj6Xi4v5ofRoz4nPYX2FW6EqyEXD8yjbdF8Jn3eJ3gnVwm4y2lf\nHCzJZlTBN+U0RuWO4uPTPqWlTRZ3rN+2i8+ct9DDKgvXRhe7WOB6nrv3FpCqaQzXc7un26JIAg28\nXupiG/m1eaYhmJ4VvoDD5jyscYiX0JSGWPj07kp1KAmPdJw4XX9D/xtHbuQA0G2KbHscjRnfy7au\nh0rPC+DS7yvf7xCwBRi85TumkJ5/D2ChcE8XHvhwHz+sjHM8I7RPDFRRmPS/STyx6AkOuuP3jALY\nRLAxc06Hc5jcbjIfnR5cmX/9O0u5es4SfD6NHQekgeULiBAt3nKAXLGTs61y8Xa57UM+dv6dVx3/\n4F77K0HvZdQbBJFudJ6U1y6f10WfWX047YPTwnZ9ftnz9Hi9B51f7cz0z6ZT7E4wFapF/8jbjeYZ\n0wIKnC/+Gm5PUPf7WBPq1T/l/mCjr8+lAU8KU6K0/VjZKKUyhIXXd+yiW7mLf+0OsJmy44/GeK0J\n5scPuxP+phdSWwPuv6ENPU5/ltTWUtkmNV13fASmnlz4qYwanf0GnP0GvmSpUFTjc3iFEGOBfE3T\nFgkhhkTbT9O054HnAXr27HnMEzkCPbypDhut6+sXxHsDbmI/Phr5xSnZUoHh16ekXJjRSeV44PT/\ngM1BZv7XFEQoBDEw7gvTLF9zj2Me//GMp6d9I5PLbvaHjkNpZzGbCDTzeJir53rN9c1mwzYbXtdn\nMZdcgQEfm/Bxka0S6aWjQXpjKN5BdOEsKDhoVFkH3zzvP6MTe4pdjP9hHHmWXeSWy7DWgNb1aJSZ\nTN88C2lOGzMG5THxxKa4vRppS/4LQI82zfnzlOGUuDz0/L+vsOIlk4MkfXsXLHgm/CDKoqdjhHHV\nH/Bk9+BtvWfIjljzn5MdAqN1B4sX3Yj351p/cx+EGg16N6XczAwI0Bt9ZKH06i7dLdOP/tgIq7da\nSGoEqfo/YWrFn9xKPc72RFdsiEhHvTW4cWEe/xS8OVF2U7QfoeKqQ8AoWouG0+fDpe+j+eSZ0cOy\nHotFV5xp1leey9mtYNy/pOj/V3dJ8f5D5Ujm8R5hbFY7E4pK+Nndi2Jg077Ec+LbNUhnXWHlPp9X\nV73KvI3zEnvzEDvaKqwIIWiZ2ZLpJ0znlZWvBD2fd5t8/9yM4Ywp38u/Aa9Pw+Pz8V1AXm4G5jlU\nR8SR+9p+NCx40X+Z9emL88DmJQaz/jTD7ot2Lwp7vlJsTmgxADbrOcd5Q6X+cueJ4C4PPr+s9qOS\n6nJEMQzenhfC2s+lLrAzA5r0hCG3ymtc1ymwdLZ8fNVi8LjM2ofKEIJurgpe3xmSdqZLGWq2JISn\nPGYxmjW3v9S+rpsnHQgHY2iVD7xe/nj1+/WI++AzvetfaDSvWW8yd0jngSNvAOxaDD3OhVUhjahS\ns6HDOKwLPpTHXAt0ePsD44UQo4EkIEMI8YamadMqed0x5YzuTemVW5cTGmdisehXm9KC+AT1J8+C\nnLaxvR21FasdRj6I47XwVrgAVGSB44Dft3mB7QvwwEzbR6BBQwpw4OHGffvDvMRNjFzdCOS5PfxZ\nnRr9RSsuOP8jeLpnzGSFA0ZxUIiH9/RuTUh12uAnaehfO6wNj3+9zt8Mol6akxX3jAx+s/n6TWzT\nTyS1HelvjLLKeSFOoyAwUl7usnB9xaiEypHdsVeG14SQKTxHAj0n1e+BDA11rTUF3S1RPOfCepC1\nu4spq/CBRY6x3SNvmmMOltJj63YaexL0KBidvia9BkvnQGagQVh1URuLiH0pnrNjN2c0laooj9ue\n5Tbq4dA0Hhnghd+Bk283q8BBtjKf8d1RO94qx2Ll7n0FXFjRmXVRdjmnT3MGtsmhd8u6/LB2D9e8\ntSTo+c+vGchr/36OR6K8PpBAr2+6PR0fvpheX0OAv0/DPvRu1JtFazLYu3c3wzs24Pqe1/sN3kxK\n0IAipLTNR67ZZFjKeIkzKHd7ySgJ1oc3ipfiZtRD0HcmG1fPh78eDPLAlXnKcFqdWIQFl9dFQXlB\njDeKA02DC3Rpx00/y0iokZtehYvJQ8aWBJ4yabiPfdzcfkmA2ku/q6TBa0+WNQ+HU/cA0GakVIMC\nRO5AWP9lZGPXmSFTw4zooDMdJv5XRrOjMUxXJLLaTOUVi1VKyYUuuDOamO+d3sjcP5KGMlJKD6q/\nLFmlFoemabdqmtZU07RcYDLwTXUzdgEmntiUa4a39cuP8UibYB3JSPS8SP4+UrI5NRWrA4eeo1q6\n5QJu3Wte+D7MX8WSjVv8JkmoSfBL0lU853ic84qKGXswMS9L+wAP8JGi2C5X15tzhsTe0WKXXjGD\n/npL1mYhYXdbEqQ3QmimSsPWoq1BRSwef5GVeTr1a5Utjd0Arh6ayx+3DeHCvjG0WY2mCr+YhXUW\nfKaxC8TdkvrKACma9rqwil3Xiz33A3khtyWbxu6RRA/R3zNOTysKvRDOmuR/6Iny2a78kZzy+A/c\nNnc57gO9cB84kQE2uTATkLix2+RE0/vS4ARZLCMEnPx3ueCpc3QL02IhKlHCyPGaUZT9eiSmnseL\ndfErcmNKnF6l2oKe/2gLKO40UoQM/u/0Tozq1JC6qQ5O7x58znVtmgnFu+hTFKGTViU8efKTQS1/\nQxnYZBA7i+S1MDs5mxldZnDfJ6u5+LWF/gYOBkuTZrAsaUbYe7zheJA5C7aSuzVya/eYdD8XpsyR\n3fWsdshuZRokAQWhvd/sTdfXuvLV5q/o+UbPaO8Wk3RXYOpfwHfL7X9I6i7VCkM3OpbKSP0OMn0h\noMHPYeF1QZMecMm3cGpAjvBlP8kfA90o9ut/N+wSXVe986Tozrzel8C574dvtyeZha6BEe9rV0ZM\nRTEiVNU9h7f6xqwSpWAj/LsPnDsXygpiu/YNTv0HtDsVGh+dwooag9WOXb9Y3WGZw9TiEh6sJ/PI\nHJqGFejkqmCr3U5qJRO6zBIswuu2Z2B3F0XZOzpbu19Psz+ipKDEoFSkkA4UZ3aARg1g2VuALCgz\n8tjocR6Me1IaYV/dDSddLou+QK7YO4yFnctgwYtypXv9nxQ8cxIaJRx0H2T03NGMyxvHAwMfAEyD\nt1W9dNbpkcLp/XLDD85TRp3Hc2Wl7+W/yUYQ7cbIQsrtC2Hjj7AzuEc5zw9hQ1Ll7Usjkt1K6rFm\nt5b6sRWlpmHbamjkQqYjhX6zO7uH7lGNMW8ORAnna+4AI86XTPnOs8hpHn/3uTBGR/HldRgnq6mr\nEHfI+JRuuAosFVicu7mn/Cfswlwctter4oeWlsoQKsQfRq0t6PMrUM2lZ4s6fLrCvBkHyfQd2ML6\n9BksH/UeqU1PoG2DdNj3F55D8OrbrXZ6NujpVzG4pPMlpDnSSLamMKL5KF7+aRsPfvo+yY3DixFv\neGcZj07qiudgHrZUUwf7JMtKxlp+w6cvmnta1nLVjxuYyaHIF2ryvtbuVP8Wq75AiGSQXPvdtXG9\nq7e8EdYks+jXV5HFmC3twKanFVVzYydhslrIaFqsIjIhjqxM4cn6ezXpEVw017AzeAIikM37woZv\noUFn6HG+7CdgT5ae2LszZRHdHv3/MuGFxI5hup6+0/MiqUrVop/5XBRPvUWfX9Xdw5uQwatp2nfA\nd0flSA6X5e/K1dEro+N/jdVu9u4+3pg5Hw7ohVQWK3bdFmxr3QxuGF1ykHlpqWR65QS+Z28B04qK\nqeeNPaGd2c0BM7fMXi8PJr9Jwb+HU7cifoUEd3IlbUczmkrDNET7cb+WRgMgNS0N6jf1G7wi0PvQ\nTC86FFZTEie9IdxZYHolGnWB8aaXVQiBJvCHMX/eYbaeNgxem57zeOXJrTnlhAgtZd1l8qawZ7Vc\noH18tezcte338H1BtqvdEaexO/qfsPV3WB4iDH/bDtPIPdTOgIeCcaPf8YdsPxvjQlhkdUTcnkw5\nZZgX2PZiC1fk3xlx36iMexI+vkqG+wyvSDWkJKQifKh7J0VaCk1dLs60L8MWMH97l7v4efNWMgIl\nq5KPsEJHdUe/wQYavA0yYkTqVs7F5i6h+96PoWUDWPAWNO6B+xACGx/9sZsFawfy0LAxDGzVhj2F\nFhplJnHTu8u49dWfaVY3GcPb+f2avWgDzP/Te4u3cf8ZneixrQ8vOM2CvtmO+0M/hh2FZbTMcUCi\nMtoR5oJRFHk4RUUplmKCyuJ8Sdxifdf8O2b/8BrIxP/C7hVmGtTR5m+/BBvXVrv0znYcb/4NMip3\n0hVwcC/0/Rs4Qzo93bJVRqx+eTIxjeP6HaFpL+mdB3nfyI1SiBiCxZ/SUMOL1moM8egkNu8HW36R\nHr7uMeR4jgfqt5c/Osl6zplXvwHcv2cfd+wtIE2/iCVrmr/rSywstpBCBG8FZDalKPdU6q6VBVm+\n1PpYKvHAeyOFaC/6Cn5/Dpa/I8PQ3aZIw+o3sxNXTov2sH4VTbIzZOVpdiuYPdlffAZED/3EDMFZ\n0NCYNi88m8etG7xOm3x9+4YZYfvIHQO8NUa76mjGLsDmX2McTwDTP4HcAdDl7HCDt6oKjwzVgddP\nlwUeMbR19zjrA+FRgO+c19HH9R8u72blxj/PZo0vwQKsYXfKTnEdxpmNI6opJSFtam+xzaa1ZYf/\nbw3oWVbOtCJp/WSECrxX4wKzo4IwPLzmvGqSJUPPOelOZg5pFby/saCw2OBJM6LnSUq8OPPln7fi\nczXklrcqeOn8lkx67lfaN0znz13yf7O1oAx7pvz/FBx0c6DUzUXWeWzWGvCV70SKyz20F9vCu+OF\n0FZso39xnIW6586F18+APpfBgHCPrVWfH77DKCrK1QpYv68/3mypklNXFAUp64R18KvpZDU7tgXs\nkTzJgd5ZIeDUR2R+vjMNxkRphGKkYgy+KbHPnxnn/SYCNou87/uq+aKn9lwly+Nof3nK/8Hqj2Sf\ne1tkr9Lxyp37Cmjo9dK3TCoO2MBv7IYx4SUZ6rE54ZOQzj62ZD7athKr8VL9PXLr6nlQvS7BUjcP\nPr8Vmp8k27i+cLJ8bujtMifpt2fJzMiM/NnGMRkexFEPyhyqFe/Cj4+SXUdPxbA7ZCJ+u1Phzv3w\nx2vSo9p6BDTrneDoGLJksPNgsJd69b7VlFRIY+28vnlMO7EOozs3hN2roHBb8Oo7UBnh9TMr/9C/\nvonv4Aw5oKQM6HgarPrQLFCoKgLTFDZ8H+zhbd5PLkT+eB2yW1Ouq+JPP1DEB+mpHNBzVBuIA7zb\nZSE9m9eFP6GdJU6JrL6Xy+9vhN+qubEL4A051QKNXZDz7+VdERaJFhvMjKzZXKvRF6cdG6ZxYq8T\nWL2ziPP75VLu9nLRwJakOEJubT49B7owuG4gN1LTDiDNlkWJJ7LyiaZrkbu9PiY9J40Ew9j1oxuC\nmmbhx/V7ucP+hvy88lkUlrnZrVU+J5+xPxF7h85nycU/QKuT4aaNUee6TfcO/lC6NOLzoXRLm8SS\nkuDF8xP5e5h8cCA7Ck8iNe9J6gU26jnc9tPHO1PfiW+/PuH53tUCPYpYq1IaqjXRDN7xT8NHeuV5\nRmMYcc+xO6YaRI7Xx+37oojYB2J4EwF+inBBFhZauvWby8DrodUw+dg4Eeq2NG8+TU4MDjMbK9KT\nLqf+5l/M7Y17wI7FMqTT8wJp3AaGWlKzpSZin0tlEwaAzIAiFYtF5jnlDT3kwiQRQUtgS9EWJv3P\nLL5KT7IzIns3bNsBL1WSKhNPL/b5EeTH+l4Ov/0bMptDoZ6SEpireNp/oP81MgesKgnUld3yS/Bz\nLQdJofOkTDjpcsrfmwDAoLIyrt1/gA5ZE5hT9jEAPdc+BpvMyucdGd1oXBRcbe/HmQETX4bWw2qc\nTnZ3Wyfq7J/D03USaPbR5ES4JM5FUW1DT2m4tF0p7P83jL0bbBauHKYX2uzfBEvfgr6XyXlmeHgr\ngpUV6vl8fLt5G0NbyOjBJ2d8gs9nZcjDv5De7t7In+2Tn+0OWaX0EGvpZVnDm95h5LGFjQCanatm\n/8H4gGyLfSUunnZUrgjUOFTlRliCF46dJsrFrpH2FGNhZ9EXkZs98Wnf/ry0CakBTvJ+Bz009Xhx\n4uZFy7NcDX7niOIwOHeuVEGoX3k7+uqMzRY9R7w6UfsN3i6ToNOZsGs5ZDQ6tsdUkxBWU5s0Etlt\nYN86SA1o3xkp3NP0RNPACfQyGieCsICmh2+NFILJs2Dr/NAD0t+vN5z3Iaz9zCwujOVNaD1CNmII\nzdcU4rCq8IUIygKm1F3KmLnB3XMcVpvprT5aNO8jDd5o+bjOtKo3dsH0wEdi4PUyBD9S5i1e4snj\nc9cCupW7sACuXRPonhQgUl9hes8a5tSLlP0gGXAttBl++MdeBTSvm87IJUXRDd7r/oTH9BSk0/4N\nH14ePTXneMC4dvyqt4zOHSALPnvPkPn4Pz4Ki1+D7x6QnbyMbl5rPwt7q3oBYf7mGc156aeN4As+\nv9Id6RTr87AjW/GIYtb7mmAFUimnhGTed94NQA/LOk4uX8i/CrOYWDiPIYzzv4+TCs55/ifWxyEM\nlCwqZD7utHdlU4PZU2D3cjj7TVm70HKgXqUfvcOagTVKV69o+DwywiZcddCc+/0qPl87bwQN5m21\n0cgTWX9dkQCtjvL94hhRK4vWqjWRNBH7Xq4L6DtlVaMiOvaUIMMiDMMYDvTcnXCmlO2aM9XcNuwu\n+CWC9yLQ4DU8vMZ7tR8T3nrRbzBp0rjrFEcKAEiZle7TjkKBlqDCYnoNy73h3o3cH29O7C1zB8Km\nkD71U98OkuwKo7FuzPa/WgqNx1vUdqwJ1WoceL00QvpfHZZO1FCkc9+e/dj9wxs9D8xiscA1y+EJ\nvfvZwBugdB8setmcVzWQDjkxUqxaDpbNcUCeF12nAEIWbR6vhBY6bv1dGr9718ruTyUB6R87l4ar\nn0Th8jcX07FxcA5+9/rd+Xvv+znz43EI4eVNx8Nk+XzM8gylqdjLIOtyZntMxZOR1oUA3FAgQ/55\nwkyDestxL9e6L4//e/a6yFy8n/kcrJknr5UJ/u+tCUiEufYOBl8Sd63PpajuHzzurEMzb1nQPs0C\njd2kKOlniuMGm34vj9aNtLpQewze8z+WchwAVy+VEkzZrWK/RmFSJ1d6Dy76UvbHfkT3Hl25WI7j\nuxdBwYZgYW0h5MV30uuyQ1399tG75wy+SRpBXafAZl3hIJYn0mj9anTGihchjooagYhDvihzS4Lh\n5fZjpMHb8XSzg03bkXDjX/Ddg1IWLZSMJjUjX64oINf59l1SMqfnhTJ8F8JBr0V6s3Qm621UAeh1\nsZTYmae36tR8cm6c/Sa8dY7sJJWUJVVaOk88Wt/m6OOJEB7OaiEXRcPulOfVgOtkAZ7FCt3PCd//\neCK0E2D+avl790rZ1SueIuYIfLJ8J58sD87Tf+3U11ixvVA2lhFebLq3c5z1N9KFNASn2L4Ney+D\nzsKUH+tm2UBDEdzgwdfxDCyr5vr/3ifqkK3p6WVZAVGpBifElsiKgaUSD2/ZtilomhPNk0Z7l4t8\nChlmWcwOvanOmJIY8mhXRUkxUhw/+LtAKpWGY4cRls9sVvNFr481Z70sNWkbdpbGSdd81rw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jk2RlXp+cCH+uOPgPP0ytS+QGFAmOd4IsgzouZYpSQ6nz4HThFC1NHD06fo244LhBCjgJuA8Zqm\nlQZszxFCWPXHecj5tEEfsyIhRF/9Onge5hjXeg7h/FP3TxgO/Klpmj9VQc2v6HYENfUadqyr5I7W\nD7I6cC1yFXZ7VR9PVf8AA5BhhmXAEv1nNPA6sFzf/hHQKOA1t+vjt4ZaWnVayZjlISuUlwIrjXkE\nZANfA+uAr4C6+nYB/Fsfs+VAz6r+DlUwZqnAPiAzYJuaY+b3nY0MjbqReWsXHcp8Quaurtd/Lqjq\n73WMx2s9Mv/PuI49q+87QT9PlwCLgXEB79MTaej9BTyN3mSptv1EGa+Ez7/j5f4Zabz07a8Al4Xs\nq+ZXdDuiRl7DVKc1hUKhUCgUCkWtprakNCgUCoVCoVAoFBFRBq9CoVAoFAqFolajDF6FQqFQKBQK\nRa1GGbwKhUKhUCgUilqNMngVCoVCoVAoFLUaZfAqFAqFQqFQKGo1yuBVKBQKhUKhUNRqlMGrUCgU\nCoVCoajV/D99srVqNT6ZpgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 2))\n", + "plt.plot(X[:, :3], '-');" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(2000, 3)" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.decomposition import NMF\n", + "\n", + "nmf = NMF(n_components=3, random_state=42)\n", + "nmf.fit_transform(X).shape" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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Rcnk4rD+WGTAH3qzEs1h3tGqCwA5kHQjZDyzHEVp0++2N5ejvMi+hrP6MLs1u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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nmf = NMF(n_components=3, random_state=42)\n", + "S_ = nmf.fit_transform(X)\n", + "\n", + "pca = PCA(n_components=3)\n", + "H = pca.fit_transform(X)\n", + "\n", + "models = [S, S_, H]\n", + "names = ['True sources',\n", + " 'NMF recovered signals',\n", + " 'PCA recovered signals']\n", + "fig, axes = plt.subplots(3, figsize=(12, 8), gridspec_kw={'hspace': .5}, subplot_kw={'xticks': (), 'yticks': ()})\n", + "\n", + "for model, name, ax in zip(models, names, axes):\n", + " ax.set_title(name)\n", + " ax.plot(model[:, :3], '-')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Визуализация в клъстерите на digits" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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lKUMAQGnKEABQmjIEAJSmDAEApY2q2WQbFh6byk/YOJjKz/qrZ1P54Zj5z2MbX6Md3PpP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\n3gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import load_digits\n", + "\n", + "digits = load_digits()\n", + "fig, axes = plt.subplots(2, 5, figsize=(10, 5), subplot_kw={'xticks':(), 'yticks': ()})\n", + "\n", + "for ax, img in zip(axes.ravel(), digits.images):\n", + " ax.imshow(img)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да пробваме с PCA:" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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O5oOxI8nMvuzTGKFc+CEIpRURXoJQwgkH7467OfgzN9cKGsCp8yc1t+Axmc2APUvLmmcl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sjZMegsTOSqaM9S1BoNep3eTK6kkiSxZTu5AmblgHdk0HUGR+TEFdXGGcVMznR7seuLUcakEhix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\n0lE9WO4O4v508jb79+5IxlFUNhJ4CVFBuFvya9K7Iz0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RwKtAKnAW2KRp2rXW52SOdaCU\nGgq8AsQB72ia9rzBQ4p5SqmPgb5AXeAEltWG2cAnQGMsfyffpmmaawG+8JNSqhewAtiK5XMO4I9Y\n6rxknnWglOqApXg+Dkvy6RNN055VSjXDshGnNrARGKNpWmFYxhBLgZcQQgghRCyLqaVGIYQQQohY\nJoGXEEIIIUSESOAlhBBCCBEhEngJIYQQQkSIBF5CCCGEEBEigZcQQgghRIRI4CWEEEIIESH/H0sf\nVdi8pEgDAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pca = PCA(n_components=2)\n", + "pca.fit(digits.data)\n", + "\n", + "digits_pca = pca.transform(digits.data)\n", + "colors = [\"#476A2A\", \"#7851B8\", \"#BD3430\", \"#4A2D4E\", \"#875525\", \"#A83683\", \"#4E655E\", \"#853541\", \"#3A3120\", \"#535D8E\"]\n", + "\n", + "plt.figure(figsize=(10, 10))\n", + "plt.xlim(digits_pca[:, 0].min(), digits_pca[:, 0].max())\n", + "plt.ylim(digits_pca[:, 1].min(), digits_pca[:, 1].max())\n", + "\n", + "for i in range(len(digits.data)):\n", + " plt.text(digits_pca[i, 0], digits_pca[i, 1], str(digits.target[i]), color=colors[digits.target[i]], fontdict={'weight': 'bold', 'size': 9})" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Въпреки, че има забележими клъстери от някои числа, `PCA` не се справя идеално.\n", + "\n", + "Може да пробваме TSNE." + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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4uOnAgQN3+zaEB0xZaRlpZ9Ll2SSAfk89SmryORL3H6bvsD6M/+hlwHoXoSU5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\nAA5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yJEkSHYPasO/I3yBjZUbX2Sl/xaSmp6nHUtOvFfNadWjdhuEDHlHnHk58903yjUY8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\niGqjtM1UaH8ZOHCg3rZtm79vQ4gGYf+WONa9+QxZ6ecAmLZsF1+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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.manifold import TSNE\n", + "\n", + "tsne = TSNE(random_state=0)\n", + "\n", + "digits_tsne = tsne.fit_transform(digits.data)\n", + "plt.figure(figsize=(10, 10))\n", + "plt.xlim(digits_tsne[:, 0].min(), digits_tsne[:, 0].max() + 1)\n", + "plt.ylim(digits_tsne[:, 1].min(), digits_tsne[:, 1].max() + 1)\n", + "\n", + "for i in range(len(digits.data)):\n", + " plt.text(digits_tsne[i, 0], digits_tsne[i, 1], str(digits.target[i]), color=colors[digits.target[i]], fontdict={'weight': 'bold', 'size': 9})" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "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": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lectures/11-unsupervised-learning-2.ipynb b/lectures/11-unsupervised-learning-2.ipynb new file mode 100644 index 0000000..ebe2fab --- /dev/null +++ b/lectures/11-unsupervised-learning-2.ipynb @@ -0,0 +1,2450 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Unsupervised Learning, pt. 2" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import mglearn\n", + "\n", + "from IPython.display import display\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Днес\n", + "\n", + "* Ще продължим заигравката с unsupervised learning\n", + "* Ще разгледаме един dataset (labelled faces in the wild) през unsupervised learning алгоритми\n", + "* Вероятно ще приключим по-рано" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Задачи до момента\n", + "\n", + "1. Изберете dataset и направете data exploration\n", + "2. Опитайте да направите по-добри резултати от нас на Titanic\n", + "3. Опитайте да направите по-добри резултати от нас на Spooky Author Identification\n", + "\n", + "Plot twist: deadline 27 ноември (понеделник)\n", + "\n", + "Формат: repository в GitHub с три notebook-а." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Labelled faces in the wild\n", + "\n", + "Този dataset съдържа снимки на разни хора, label-нати с имената им.\n", + "\n", + "Има го в `sklearn.datasets`." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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xcsGZXKiGvWTHy+63Hi8TSCFccn2WfN47ro7JSMP3klljiNtuIbFjEoUz4Rtn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\nLivz47ahRzl6Oui10v2zIpnsJx43MmR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PMVnaPo02cLljGn0VGSgtC8DfHEusz0v3jNe1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\nohVCCCGEEEIIM/MvzAydDE/99eQAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import fetch_lfw_people\n", + "\n", + "people = fetch_lfw_people(min_faces_per_person=20, resize=0.7)\n", + "\n", + "image_shape = people.images[0].shape\n", + "fix, axes = plt.subplots(2, 5, figsize=(15, 8), subplot_kw={'xticks': (), 'yticks': ()})\n", + "\n", + "for target, image, ax in zip(people.target, people.images, axes.ravel()):\n", + " ax.imshow(image, cmap='gray')\n", + " ax.set_title(people.target_names[target])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`people.images` съдържа тензор с картинки, докато в `people.data` картинката е представена като ред в матрица." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "people.images.shape: (3023, 87, 65)\n", + "people.data.shape: (3023, 5655)\n", + "people.target.shape: (3023,)\n", + "People: 62\n" + ] + } + ], + "source": [ + "print(\"people.images.shape: {}\".format(people.images.shape))\n", + "print(\"people.data.shape: {}\".format(people.data.shape))\n", + "print(\"people.target.shape: {}\".format(people.target.shape))\n", + "print(\"People: {}\".format(len(people.target_names)))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`people.target` съдържа класовете, докато `people.target_names` съпоставя класовете на истински имена." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([61, 25, 9, ..., 14, 15, 14])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "people.target" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['Alejandro Toledo', 'Alvaro Uribe', 'Amelie Mauresmo',\n", + " 'Andre Agassi', 'Angelina Jolie', 'Ariel Sharon',\n", + " 'Arnold Schwarzenegger', 'Atal Bihari Vajpayee', 'Bill Clinton',\n", + " 'Carlos Menem', 'Colin Powell', 'David Beckham', 'Donald Rumsfeld',\n", + " 'George Robertson', 'George W Bush', 'Gerhard Schroeder',\n", + " 'Gloria Macapagal Arroyo', 'Gray Davis', 'Guillermo Coria',\n", + " 'Hamid Karzai', 'Hans Blix', 'Hugo Chavez', 'Igor Ivanov',\n", + " 'Jack Straw', 'Jacques Chirac', 'Jean Chretien', 'Jennifer Aniston',\n", + " 'Jennifer Capriati', 'Jennifer Lopez', 'Jeremy Greenstock',\n", + " 'Jiang Zemin', 'John Ashcroft', 'John Negroponte',\n", + " 'Jose Maria Aznar', 'Juan Carlos Ferrero', 'Junichiro Koizumi',\n", + " 'Kofi Annan', 'Laura Bush', 'Lindsay Davenport', 'Lleyton Hewitt',\n", + " 'Luiz Inacio Lula da Silva', 'Mahmoud Abbas',\n", + " 'Megawati Sukarnoputri', 'Michael Bloomberg', 'Naomi Watts',\n", + " 'Nestor Kirchner', 'Paul Bremer', 'Pete Sampras',\n", + " 'Recep Tayyip Erdogan', 'Ricardo Lagos', 'Roh Moo-hyun',\n", + " 'Rudolph Giuliani', 'Saddam Hussein', 'Serena Williams',\n", + " 'Silvio Berlusconi', 'Tiger Woods', 'Tom Daschle', 'Tom Ridge',\n", + " 'Tony Blair', 'Vicente Fox', 'Vladimir Putin', 'Winona Ryder'],\n", + " dtype='" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fix, axes = plt.subplots(4, 5, figsize=(15, 16), subplot_kw={'xticks': (), 'yticks': ()})\n", + "\n", + "for i, (component, ax) in enumerate(zip(pca.components_, axes.ravel())):\n", + " ax.imshow(component.reshape(image_shape), cmap='gray')\n", + " ax.set_title(\"component {}\".format((i + 1)))" + ] + }, + { + "attachments": { + "eigenfaces.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Тези картинки са компонентите, открити от PCA. Когато прекарате изображение през `pca.transform`, той го свежда до линейна комбинация на тези 100 компонента. 100те числа в резултата са коефициентите пред всеки от компонентите.\n", + "\n", + "![eigenfaces.png](attachment:eigenfaces.png)\n", + "\n", + "В такива случаи, компонентите често биват наричани eigenfaces." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "X_test.shape: (516, 5655)\n", + "X_test_pca.shape: (516, 100)\n" + ] + } + ], + "source": [ + "X_test_pca = pca.transform(X_test)\n", + "print(\"X_test.shape: {}\".format(X_test.shape))\n", + "print(\"X_test_pca.shape: {}\".format(X_test_pca.shape))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`PCA` (и някои други) имат `inverse_transform`, която проектира трансформирания вектор в оригиналното пространство." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "X_test.shape: (516, 5655)\n", + "X_test_pca.shape: (516, 100)\n", + "X_reformed.shape: (516, 5655)\n" + ] + } + ], + "source": [ + "X_reformed = pca.inverse_transform(X_test_pca)\n", + "print(\"X_test.shape: {}\".format(X_test.shape))\n", + "print(\"X_test_pca.shape: {}\".format(X_test_pca.shape))\n", + "print(\"X_reformed.shape: {}\".format(X_reformed.shape))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Бихме могли да визуализираме резултата от `inverse_transform`, така че да го интерпретираме:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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PPOfHsqRo3/a9Wu+EL7zwwv4cCYE5qP0m9hiloNnujcfubfEsBUEQBEEQBEEQ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5ETQy7udLkSWahzOb+9TNaRpt49CIpP7Po0Re1xXte+GFF5Z1mktE0aaqQ1nPJrFSf+f/p/tE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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import itertools\n", + "\n", + "fig, axes = plt.subplots(3, 4, figsize=(15, 14), subplot_kw={'xticks': (), 'yticks': ()})\n", + "\n", + "for i, (picture, ax) in enumerate(zip(itertools.chain(*zip(X_reformed, X_test)), axes.ravel())):\n", + " ax.imshow(picture.reshape(image_shape), cmap='gray')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Какво ли ще стане, ако ползваме повече компоненти? Нека си напишем функция, с която да пробваме." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "def compression_with_pca(train, test, n_components):\n", + " pca = PCA(n_components=n_components, whiten=True, random_state=0)\n", + " pca.fit(train)\n", + " reformed = pca.inverse_transform(pca.transform(test))\n", + " \n", + " fig, axes = plt.subplots(3, 4, figsize=(15, 14), subplot_kw={'xticks': (), 'yticks': ()})\n", + "\n", + " for i, (picture, ax) in enumerate(zip(itertools.chain(*zip(reformed, test)), axes.ravel())):\n", + " ax.imshow(picture.reshape(image_shape), cmap='gray')" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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fXZwlo7Cd0YBW9KYzkYpV3BSjyBzv5fFqnjIavFF6bJ2yWIK2Btqm8RmPRZe1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\nbYil9C7HJi+cOZebSfNWGxq31864zCKYbIfPua+zhpU8KNIxcyRwifFf3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bOu27Otrdk4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\n2WS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F0RxKkN3vSdtqVd6+xm3l3DY87lbt7euaK2N2nxzbSuXMeTWT90n98P9Sd9yDZnpb\nPifpTRt4rNXhReNoQyXbifUp9plYL2jBtXOm5Wb95RpbSWXaVs5ZLllZd8ySGVYORWz1MdfbPpzd\n3qfVCvPRNcRWJPN/XOlnf46176tf/erpXPYSmbVp5lzWu02sR2PgzLmebHV/N6a/qFyWE9u1rYiy\n3M3inf7BPbbf+MY3Zua+ZYnW3Mw1tmditdptY4BZ223F2fbt8jmPdUJi/eOoH8z4qrtZRFcWNbu/\nWbCyv4F1Z+llejJe7sYk259EUpYsZ75P5P7c65a9Fbz3NXF3d3eyHtmKfvqSvbvwf2lVSPmmf83M\n/JN/8k9mZuZ73/ve6RxVSdaf7N1mt3/W9sfaeG9td7efxywjtr9ttX827PbK7py7HDlSs/65syBb\nPycs/7wLsn9mbOWepNzb3ktnzmVk+zifqkqqZamUUkoppZRShH4slVJKKaWUUorwZBnepclt5W4x\nmLMHyq0iOzFnDuYff+YsG6Jp2+Q2tlF552LZNmrb5tbdZr/d5lUzZ15KHJmvmWP5A7EN+Sa5MxfL\nvDfdTJsL6+SH0hS6f4zZnekxN+p59srtpZV50pE2ck0ujcljHSYQk/Ck3E2Gx/7IPpdnmgxvJa2z\nTfFHDh6sT9j/8T6rDbRHZvWd2d/OW/8gtll2F/chv7OcmTYLH5DN3+xnTI+5RzdZlMV/MTmFObu4\nJscO4ebm5kE7Zv1F7kG5FGVSGa/YPyJjffPNN0/n3nnnnZmZee21107nTJq8kp4Fc+Jj44JJenZj\nhkl2VvFgjqQ4j90szf81V8o2P/D4eWLV7CSLO5mqhbCwsSISW3PONHOeV+29wqSd18Dd3d0Dh082\nLrJfcMyJu3WeS7/6/d///dO57373uzPjDsH4HGunK+nd0bveU5wj2PhqLsitL5ojBHs33MkHjaeM\n7Wnvu20m5ujLYnSu0mFjYs7x/8xhkjkuszHC6uOIWpZKKaWUUkopRXhuBw/m8tBcCPLLME4c6Mwh\nx7bSZg4cZs4r4bZpkqtQtrJulhFbiXtKhOKjzejEVijM8cLKhfZjI0DbSrVZo3gf2whHUj+0TGSV\nla6PuWKelVlbQTKX0FxhNCuTuSB/ykrmi8SlZWAXvdpch1ufoZvVHNOyxOPc0yyDtkmc6bR2ZG19\ntenTVoTMsrSL8G33Npi2oxXAlbXJLIDW1o+sbLyG/5fVM1o16CCCwaODRUDPqjXrzvrUTiFwLdzc\n3DwIss76s8CltGCnzdACH5fhWfWeOTtzMNfgM26lTV3sNnGbMwdibXC3yduCP5tCxPqu5Wvlvvto\nVX0XhsPcEFv+bYV7xt8HLEinORzgu4o5ijB3xWZl4victmEWqmvh0gHYLogp+1reJViOv/M7vzMz\nM7/7u797OheL0srKcRSKY6Vy2DlkCDu1kV1r7f1XdeVtHKlzVu8R1qfTh8yBwyrEgjkUs9AI5Eh5\nZXMw88Xvgrzj2BiT/vlYa24tS6WUUkoppZQi9GOplFJKKaWUUoQnyfBubm5OZjqLNB3zF01nNJtG\nwmVSH15zJCPi8c4fvUn7LIbCanOdnTsyXVp6eGxlZmbI3UbDncTJTLpHcVdmzmVlkY55f0rubIMu\npULJBzemH8mZmG+Lfm5lfs0Rz2dcRmN9xvoP+0zkCZTARvrB/+PvFr8kfXIlw0sdmkTNHCqs5AMm\nBbKYMdZ/rFxMFrCSOxzJKVbxHB4ba223mdTGscTsYXyJn/70p6fjyHXMCYVtnt9JTK41ptIlnM9M\n7mJSc5vP3njjjdO5yPBef/3107lIQWxMmzl2rGHyN6bX5jPmZSe1OWIlDTIJtMkGTdq9y+NOXm3O\na/IcGwOfEh/N4sHY3E8e035m7vdD+19zHmHy2heVm5ubB+OKSeX4/kHHKinL9K+Zme985zsPzlnM\nMmJOAizG066/HMU/JDsZ3pGElM/eSdTtPitHJZdpW80H5rzExp38vtrCYRLAo3fZVdpyzDE4xysH\nX3nHMec4aY+P7We1LJVSSimllFKK8GQHD+FopZVfg7QO5StwF6k8X//cEMtjsxKZcwlbLbYvZ/vi\nJbvVgyO32jPnVSV+ERu2Om2b4pjGrCrbRrjL42CWsBwzjbaJ1lb1uRpEK9LlvWfOLkBJvvS5odU2\nodsqa9oFXZZfA5cbHK2udnXOvheLIC2Du1U4i2yevrdyb2/pPdoMa+17xjeS2v1YBkerZ7YSthsr\nbCxguzTLkq1E7yw5ZpkzhywWXmHmvAJLq66NkWG10m8OPY4cjLzo3N3dPbAm7KwcnIdSB3TmkFVu\nOlKJRWmlPDhyarCaCy43y1/+zjweceQ0Yuc8wqxatKDs+rild+cE6Yid4oJYfed/dyvkJOVvTh84\nL7Jcjt6DrtGRysz/aceZj1IuNt7z/YAr/rHUfvvb3z6di8Xd3jFXzgaO3MPbuyF5rLv6nct9YtbV\nnTMnY+cI4sjCvLJeW3qOVBkrZyrGY/uqvXtzfkq/4nsnrUwWHujym+OxTjRqWSqllFJKKaUUoR9L\npZRSSimllCI8WYZ3GSOAsgTbnGymTZrRLKZSNs5SMkQzWsyCZtLfbdQmJiWMqW9lRjwy2a0kBpZe\nS2OebRtVeUwTZqQ3NPmb7MeeY+bp3cZGi0thcq+Zs4mU8qCYS618aD6lrMHki5dl+pQo1C8iuxgO\n1s8sThljEKTvWpwXYpKw1ebRpMlkKXbNSkZkcomjjaK8506uZO3fJHkm5WBZ7GLgXF7L61ft1eTE\nySPj+USCMjPzySefzMz9MSDHlsbdZuK/S1zW685hAvtP6oMOHiLN45i4i493JHvbyYnMGYdt8l45\nRcnvdB5iz7b+s3MkYX2GY5LFZwkm5+M9TVZjzolWcimTl2YcXDl4sDnSYr/lmZzP2A9zT5ZF8rsb\ni19UXnrppVN/SbmwTCLBpxSf5fzee+/NzNmpw8xZ6mrvk6s6tPhz1p7JkZOs3f/Z2L+S1h7d02JV\nEruPvYfvtmgYJpfcyWn5e/qljUs7aePOaYbFa7RYeHb9U98Z/+7NjqWUUkoppZTyCPqxVEoppZRS\nSinCk+MsHXmSiFl1JeUyj2uRK0R6N3OO9UIpz2O9ga28cMXcZ7FIjvzoXz7HrjGTvkmOHisPImZy\n5DUpP/4fJQx2T4sfYp5RdjK91COlmJThRXJHM7ndJ5hUgXnkOUourpHL+jCz9youVaRCFpuM9ZN6\nW3mdTP1a+1/FJjvy0rXzqGVyv13slJ2cItfs+rjJ3qw97jz+7ORVSc+q35uU2WSVlORF+kWPkBkD\nTLK4i2HzWDnEi87t7e2pr2SMYhmmftm3XnnlldNx5Hdvvvnm6VzqxWSoK0yOlvbKfmZjvHlgfYpX\nPZMlmaTU5lVLr8kGV7JZ86CXczsPtTa+sL9a37QYUDyXdDA9Jrmzd56neB00D8AWZ+maeOmll07v\ndelr5sGM5chYZe+///7M3I+plLmM5WjvhjvPrOF5yv4pkjp7jvXZx/ahXT+3tO3iNe3kfnbO5rSV\nx9VLbO5bPefIUzWf/emnnz54Nt978j65k19eUstSKaWUUkoppQhPsizd3d092KxtFhTbcDfjlqWs\nNjAuRb4CuUnW7rOLjcKvVosmblYOs5hZtPCdH/mdY4Yjn/urFQ7beBts9Z/XPDa6NOE1WW3jc3Kc\nOpy5v0Ez1h9+6dsGVouBZSsTtlLy2M2XLxK04OavRa1eOcGwWBO5D61NqTf2M7unWXx2WD/cWXfI\nkZVjtwJl99/Fl7C0W3wJ2xDOe5pVdxeTwp5jbZ1jCvvcq6++OjMzH3300elc+h437ttK2s6pgDk+\nuBZubm5ObT9OaMyxAPtMynrmbFHiCngUEmwbu3H9aMPxqn2n3lYW3st7E15j87iNx0dp4PVmvVnl\nO9fbRv+VZclW4pNOcwK120Bu7xC7ucSsY5z3zKpL8vvOmdI1cXt7e+obySsdP6UNcB6jFendd9+d\nmfsW9fRdi8m4mrOsju3c0bsGr3lsn1v9buO9sXPQ9VjnR09RGljajt7VVtYks16bBdnGk10stvR5\nOt7hOBCLJc9dWiRrWSqllFJKKaWUX4F+LJVSSimllFKK8NwOHmL6pAn0SCbG/+Um8sjvKMOLSY33\n3m1Wy+8reVxMbiaP25nvieXNTIqrDYaXz3mKv39Lg5XFKnZNiInTnr2SwsVkzjxGssV6Yj1GCvSz\nn/3sdO4Xv/jFzNzfSJ3/4312ZvKk/Si+zYvKzc3NScZj9WvxyiilSx1QMpRz3Oh4ubl9Zi+5s03O\n5tTA+uFj+wR/N+cgK0cqJpU7cuiyyqvJ3iw/5nTjsZv5nyJrS745btLRQORgibc0c+5TFntp5aQi\nZW1x53bxoV5Ebm9vH8jwLM4LZXjmiIi/H8XiWTnPOWoTuz7D+juSf61knyarsRhnJr+2WDY7CZvN\n2bx32uBKXnjkXMLi8a3yYBLBIwcZqzzsZEKGlVX63E7e/6Jye3t7el84KnvKixNbaWbmq1/96szc\n73/2/mZtYOe8xM6Z0wi7j80bKx4rDSXWR+zZds7Su5Oi7uSHdo3NfTunLVbmO8cWNm9nvKAMj+84\nf/EXfzEz98f1y3erx1LLUimllFJKKaUIT7IszTxc3bIvP36Vc8U7K6O2OZnnzGWxfd3aivhTIgIf\nuTu11VWycpNo1xxtUjdr1Grl6ii9q8jfj10tsxWt3eZFW+UzqyE3QMeylC9+wjK1VQq2peeNwvwi\nQMuS1V9+Y51zxS3lzj6V1W9z5sDVONvwvFp5MqxNmMt7O7db9bNrbIwwa8lutX11z8tnr6xW5urc\nVsfCbuO+OYVgfdOa8dprr83MzFtvvXU6l35G97xJ78o18pHr9Wtc8b65uTm1fct7VitpxeNx+hzr\nwla2U2+r+SyrnjvHJeby2+YZW8FdjZNHfXznUphzZMYS61NsO1zhNatW7rmaP+2andMUI32Bltf0\nC/ZrG5PM2rdzOMH0mlOI3NMs4dfC5fsL85+yojIlTh1mznOZtVM6Jcqx9ZWZ+2PfJSsr0dGct3L5\nbb8fWWhW73xH7zfW3tled6EvzIJs999ZdsPKwcOR9XqFzTf2zmzjF99x4uCI9Z458dKF+I5alkop\npZRSSilF6MdSKaWUUkoppQhPdvBwudmN5q+YQGkGoxQoG6/oKz/H3KBlcjSatC0C9lFclhmP2J08\nmEmQ5/icmPNocjR/7Xa8S+/zmHGTH5o4aZa2eBwWHd7SY84wVnFm7JqY1CkFMkcDFgPLYjAQ2+x/\nTaQtRNZjdUHJD/tcZEG2MZ3ncrwyiZsZ3qQ11oZNcmfSGZMt8f5W9+wnbDOPjV9ytHl05jj+wqq/\nmlzN4kvYJlXr1yYJWckGU7dx9DAz8/HHH8+MO31YbZ4/2uh8jTK8mXP+084sRiClQTafce5KPzTJ\nycrxTv6XkrBdmzhyBmHxBclubjJnP7tN8unH1raYBo7rlGFdPpv3MekeMVlbZN4rWZJJUk2yaNfY\nBnMbC1imlker72uW4QWTQKas3njjjdM5HvOdJphjj927nG1l2I3zRw5Y/m9sA9g58Dra1rGal63P\nHsUr5fUm9+NzrD4T32jm2PHMY/O1yoPJke1diePO5VxWGV4ppZRSSiml/Ao8ybJ0e3t72sCfr0V+\ntWeFjatv3BAbZw60KmQlbufu2jaM2Yr3bgO6rejaysPKZWtWknZut3fPyWrIzvWrHdtXvblfnfHV\nLUuvbWDnPW0Db66xqPfMI60ZaT88Z26Ozb0xVyvS1p4ahflF4O7u7lSvKS/WqTkhYXma44b0M1qg\nUobWnma8Tx257WfazJJp7u1XjhUeG9ncNgnvxg+zfu36jLmq31mw7Ddz2LFzOhMscvnMuR7j6GHm\nvCr74Ycfns6lbleuw48c2TzWUcyLxLNnz07tJ39NKWHOU3hMy5JZasz5kNWvOTt5rGvhy/uHx1pR\nd27wze22tSNzgMI+aq7sjVW7TDpoaThyW26WodU1KfPVRnRTlQTr/zxnIVZ2jiSuCYadSZmbswWq\njvjueDnfz7gVyerVytksjrs6MKuL9b+nuAZ/rIOH3buaOTd6Sjrs/+x90xQf6d9UEPFdzeZOGy92\njiSOHFKs+tKRW/MjB0xGLUullFJKKaWUIvRjqZRSSimllFKEJzt4iIwnZi/b2EhZAiV5OaaswaLG\n20ZV22Bq5jZC03fM9mY2NRP6KuaP+XU3U+lOHmFyPzN7mlTIzPsm8WPabDMl05XfVxu5TeJkjiJo\nWk/9UTIRWRnbSH7ntbt4NZexLK5JhkfJQjDZFqVjLM8cU+6acl/FVLLnPDbauW3SNGmeSQmImeFN\nEreSBxlHjglW0jvbtJ378P9WjhIek97VteY4J+mxzegzZ2nlV77yldO5d955Z2ZmfvSjH53OpY+v\n7mOxOi6d6VxTPyM2p5jky5w9mHzOZGQrKdxR21k5AjHZjcUJsg3QOzmgzWcmhdvJ8GyD+E7Sbo6Y\nWCfmCGEngbP7WCwki3fFMcKk89ZnbMyh/Nn6uLWba4IxzdJOKc/Mb3xfZJnld9aHSayCjak8Nsc2\nKwnb5fOISaxX76VHY+dqbjwaG6zNreTdR5Kz1diQ+9t4wjkk9biS2B7Fl9rJ8Eyab+WzcgSR/s3y\nvZTTPlYCW8tSKaWUUkoppQj9WCqllFJKKaUU4UkyPHrpspgERxIcYqZtyoMsfg/NeuZdI+laeQBJ\nOs28b/K5lUTHzMFmxttJM0yGZx6QKAHJMy3fVj483nkDi8l7FZfCpBdmxjTJBM3p8diVOBhMOz2o\nsD2YCflSsnhNXrpmHnrQsja2a6Pmxcu8SLH9U853ZHI3mdiMtxPz/mSx1Owa6x8rr3DGkZxiFUvN\nPNJZnI9dzLYjyR3/z/qrSQlW9W3jbjyP0qNUYi9ZXpk28zB4rVyOGzZ+7dqJSb52nqhM7mLSIZMj\n839NamPS+JVc9UgOuxrXTYpuXjDzfywz9qOkybzU8Zx5NjMpIccp89rFOfJIYrSSwpl0L7DPWKwk\nu8bSZrGnroG7u7tTucZrGusrEmLOP4/dHmFtYRdLzvrNqr1bOiz2nW2jIOYV07zCWtrt3cfa7kpi\ne+RddjW+WX7SPs3LpI2dZLcFxmTKJsOz93q9LKBuAAAgAElEQVSLrcRjixmXPldveKWUUkoppZTy\nK/DkZcPLjdf8ijMrBzFnDjnOBvSZ8+rTatOkrarZBmT+bis3Zh0LtmGeeeAqr8Ugsi/r3QqyXWOb\nY+1r2/ze89hW9W01Y7XZ7Sh68ioPtioSKxNjwvzlX/7lzNy3NtFnv+X7csX02jaeH8XtSd5pseOK\nbWIuccN/2vDOImorWLtVZVuRs9Xi1QpW2DmA2DmKyHnbjG4b7leWmqOVRGJlZatej72W2Fixw2Kc\ncVzNuVVejzbpXyNc7ea5sIsFZtc8NoaOrZBz3syq+27jtzlHeGyMM2J9fOWYwcZ1s46ZpctUHBb3\naZdvG3M476X8VvGazEJ1pADhsbURcuTQiXnk/yXtFnvoGnj27Nn84he/mJmZv/qrv5qZ+/WacYpq\nCHNG9FinRGZl5O+7ec6UODa2W/xD8lirxWqcNVXNkZOlncOjnZXNrNv2bsm+dmTl5vFOlWTlS47G\nUdaD5cEUWk+14tayVEoppZRSSilCP5ZKKaWUUkopRXhynKVLSZTJOGgSiyRo5uxDn9IQM7/GBPfz\nn//8dM5MgRZrgc+mKTYSh5iCmV6Tta1iRcWcRylL5FB2nxmPDXFk+t3Jkfic/O9KqnPkdIPP3m12\nM5PszrnE5b1nzk4caHJNWbNdWDwbM1Vb/Kxr4LLeLFaVxRGbOUscX3/99dO5lDHL1TZGRyIxc64r\na6NmhuexbXI2KQr7GceK5M0kPKtN7yaTOdrYupPzmaOZXWy3nQw15cdy3t1zF0PjKMYcpZhf/vKX\nZ+a+3NVkRhZf6tpkrivYjyyGncXjMnmXyanMKQev2cVHIibDO9rkvbrPkQOI1ZhqcVXMmcNlGi4x\nBzKRZNPZD4/zTJtTbMxZyYUN6/cst6TzsTEWWTe29YDjt0nar4lf/vKXp/c5jn0hY//KwcORw4Cd\noxEbX58ynplkc+c45YidDHYlfw1HTotWZWZzkcW74tyQeuKWiBzbVpvV+GZt26R7xKR7xmUcQD6P\n523bjMWlO+K63jBLKaWUUkop5XPiya7DL1eDuBIQCwutRFnNnHHLEjeph1h/Pv3009O5rDjNnL8E\nV6vbgV+Y5kQg9zG3y+ZCeea8AsIVyHzVc2WcX/i552NXIO0rmOd3jiJWm1ov02YWAa76mMtoO7ey\nRiVNvKf9b/JFCx7r3qxelysl17QR3Sy4bAfpM1yZpIvoN998c2Z8c7+t+NDaSmvun//5nz+4JnXK\n1V5en2Prm8xD6pp1TqcfyY9ZG5+ymne08mvR12eO29LOnbI5VyFpy1ytY//Is81Cu7Jc59ic4LB8\n4z6eYxvTcdSfr9WF+KXrWeb9yJnPjLu+thXX9FezVK5I21yN6+ZIJcc2P6yebX1h17/MPbOtUud3\nlgnn8bS9n/3sZ6dzGVc4vuyuye+cm8wBlSkyzMkRz7HcLN/BHFRxXLS+y2tsbr+mOe3u7u7UDlJP\nnL/y7sQyMaci5niBmFMWYi6rzRGJjck71/67fmNWkKSDbXc3F9mcZuMXx4bcn/0qfSnz/OqY78xp\n00xvxrff+I3fOJ3jOGnWPitzYg5uzHW/OYSx92z24xw/VY1Uy1IppZRSSimlCP1YKqWUUkoppRTh\nyTK8mLVi6qLZNDIPSoIow4upldI7M0PGBLoyueaYJke7hpIA26yWZ9J8mrTRhMn0WjynPMc2/86c\nzc00Ux5tkFvJbfIc24RvMSZm3LmESThiXqV0gOZXcz5hm79N7sH05Nj8/a/i3pgs6NIsf02ShZmH\nJnuWR0zc6W8zM++9997pODI8MzOznFLXH3300ekczfD53UzhrFO2k8hjTB7EazIWMA+8z9e//vWZ\nmXn11VdP5zLW7GLG7NjFvrBYHBbDhmONyZDSN02GRGkR+1zKj9eY/IAyBx6HlAvTG0kex2TKLjOu\nsJ4uZVrX1s8uZWqUBkVObnIpXmtxecyJkcnoeI2laxXzKnXEPmPzWfJj89GMx+nLfVZyoPxukmzK\nfCwmC9ObPsD5LH2B87TJfE2mTSymIzF5szkL2sVRyv9Sgm9SMJZfyoP9MHlg+TCP10DaWsqZ5ZM+\nYlLJGXfyZGORbejfzRH5X3tvmjn3xZ1TA5PZ7WS9weSrvJ5lcZRejjHsi2lXHO/Tvj755JMH53jM\nvpg+y/JJ22d6+K5rsjdzPLNzdnYksVzNjRZ3K+/zueaxsc1qWSqllFJKKaUU4cmuw/M1lq8zrgxn\ng/Ybb7xxOkfXtbE40VKTL0uutObYXDXOnL8cuVE55yyi+cx5NY1fqvl9t1LNtCW99lW/WsW6XFHh\n/zIPwVanZ9ztsG3qZR5tFdA2+8WiwJUHy7etlpllbub+CmZInfLegWXBdpU0WYR7c+t5DVxuPGcb\nTbmyn7377run46xYcgUrKyzcGB2LEldu2UZj1aHDFnOLyzaTFSxzAMFnm9tOs1DZyt1qxdZW7Gwz\n7M4piLnJ3zlSSX7YRpNvlk+OmVdzzcrnJL8rV/FHK6dmUWB9mqtsC3FwjRZcOiw6cqTCMY3jTMZp\ns6yzrszKx2vMemwrr7zGFBBm/Ut6Vn3GlAdmJbJ65zyU8dwUDmzfXLlOH+D4k3mIFm5LG/uehTFJ\n+bMeTBWxW1VmuVkfz30sBALbjTlsofMVc71+TZal29vbU7nE6sD+kH63Gl/tXeLI/ffOIY21hZWT\ngNS7ORljGpMHcwm/wpxHmJXJnKmYRdYsRzzmHJw+xnM2R1tfs3AKLDMLK7AKwXD5f7yXWXFtLFq5\nW09dsC/Gipm/ZjE0alkqpZRSSimlFKEfS6WUUkoppZQiPDl4RkxpMe9TthAZHiVB77zzzun49ddf\nn5n7ZrKY6GmKjxlytSk1z7RNZoQygtyL5rij+D2r2BlJm8kfaIo3hxTMg8kjzPGCsZPC0WyatFtE\ndJp788yVpC73NCkhz3Fjn8Xdyu+UWcR0zPLhxv6YkC1qu8kyrgkze0eiGCcIM+e+NeNxtGJepzOH\ntB06hzCHLOyvKW/WBdtJpCVsw6kr27TNcyZFoPTBNgbvYgJZHBkz8dumWpP0WqwN/r5z5mCb8OkM\nIP3DZMe2MZ/5sbhyFjeN13LMsrHC5IfXws3NzYPNx2zL5iTApHIsT5s/rOx28VksdhbJc9h2THK9\niz9ofcFkqiaRMadMbOs5R2nQhx9+eDrOWGTSIfYjzi9pr2y3NkYmvewzFjuRc6CVhTmxMHkuz2Xu\nsneSmXO7Yt3leo6H18RLL710GtsyVzGvR5I6YvJkYu9DxPqsScJMAmhjrsm/VnI+64sm7eT4a/NK\nfjfHQJzf2dfixIHy7/RP3pvt2OJfpi/aOLjaCpHzFsdqtQXG5PP2HHPGtHv3Tr/LeynHnyNqWSql\nlFJKKaUUoR9LpZRSSimllCI8WYZ3aWozGR4lVDRFxyRGU2pMgOZVhNea2d3iQKxiMyXdlFlEMmCS\nCfN4c/nMy3tbbBSm13zuW1wB8+bB681/PmVtlN6YnCnH5p2J5WOSFEoHUk+rOCQWPyTpsfqkOdTk\nE7x3yto8J77o3NzcPJCWUN749ttvz8zM+++/fzpH+Vxge0zZsgy/+tWvzsx9z4PmJYjtKdIJtiea\n9o88y/DZyY/FrWE6LD4Jr1l5CwtpRybRMekR72OyC44V5o2I0oj0U/azpJ3tn5KGpNekR+wT5m2N\nJG0//elPT+d++MMfzsx9j0fWx3nvy/hS1+QNb+ZhbBTzhreKe5c2arIPYmMT+1mezXE0v7ONmVTU\nxvBdnCCb2+wa86o6c+6HbOuRz7G9pZ1xbvr4449Px5EMUY6V/PLZO5mqydatTCknSrlxHLN3EZPa\nso7NW1n6Pd9fLGaQYXPmNUDJa+abXb/hOG/SaGvbKVuTb824fM5kpyYPY5szSXOwbRCr9Kb9sS+x\nz1t80My3HMcjs/vRj350OmfxE3lvG8vNO6r1IZu/Vv3G5MH2vm6e72y8tdhMKzlfrrF3j/Tnx/a5\n6+yZpZRSSimllPIr8mTL0uVGWK5oZ+OexQ+YOX8d72J/XP42c381xjZa5quVGzZ3X4y2Opev1tXq\n3NHGs6fEbMg1FmmaX85czbCv6MCysNVtrnDk/vbVvtrMbBtrc2xOKnhsq9fMt+WH9Zi2wUjTu1g5\n1wb7RyxLjLPE1R+zjlp/zTFXd8yKREtmVsJW1qRLS8SMt2tzHLCzsuaa1aZ3a8OXv834RlFb/beV\nQLZL9jOLL5XxwDbHr+JCmIOAS6c6l9dkNZCrgqlbthFb0bWVc7MiPDbK+YvGUYy81AXzzvoNFmdp\nt4rKa9J3Od/lOYyVwnaUNsH2mGP24WCr4jy2NrjadJ5xgSvbP/7xj2fm/sp2rExcFbeYbMxX5hS2\nZRsDmJ+sFPOatOXVPGOWisuYWzP3xycbkyy2W9K2UjuYc4lrdKCyIu2cagkrR3OUYO8XxDb829hv\n1gmes3dLs0btxgb2IXPakvl01dfSRzgO5D2IVtqf/OQnM3PuhzP3+6c5M7PYcuaEzJyr7Rx97VQi\n5jDJ6nP3fmcxnEjKnL9fvoM+1rlILUullFJKKaWUIvRjqZRSSimllFKEJ8nwbm5uTia3yIIo83jz\nzTdn5n7MF5paw2rDbDBTKs16kb+YCZQmf5pfc8xrYpo0uZJJZ3gfM+nTrL6LbxEzJCVqZiK2jel8\nTtJOs7HJi0wCYmbPlXQx5WbmVz7PNvjbBnZufrX7sJ4iKWJbSj0nPUeOBV5ELmN3pW/NnOMiUVJn\n7ZHShkiwWO5pR7bBmue5CTr9jPVjUhXLi21QN1nAzLlN8H4Wc8JigVnftbFgZX63fpFnsywowzM5\nhcVgMazMbAzgs48kKDPncmH5MOZdYHqPnHdwzLkmLh3bcKxKHaykl7aZPG1v125ZvxZHK23HYq7w\nf82xgMXqsbgoTJPJkii1NSkdZUDf//73H5xLWbE9MQ9JE9to3itsc/9lOkPKmuNHnmOb5XlscslV\nWdlG/8s4Xfzd2sDMucytT5kc9FpI+abMOJ/bHGHls3IiEMwJx87Bg7Upk8VZX9y9Q1nbN7ko702p\naqSslNflmH0t/0e5npWPSeq4tYJy/vRL9kWT+NvWFJvrTb66k8KTI7ncKp6VOWt6XmpZKqWUUkop\npRThScsYt7e3py/PrHS/++67p9/feuutmZn5yle+cjrHr9Z8Re9c/+XczoUnV2tyT37xchXwyGW1\nRfE25we8ZsfRCjvvwy/w5Gf1DFuhtBWy3cq6bZY8ctV8+b+XeVi5MbZViECHBVlloMt5rgJmpeWV\nV145nbvcUH9NG9Bvbm5O9RHr0Te/+c3T71/72tdm5r6VyKyfdLRiFlOzhpi11pwWmFMUHu824tpq\nnvUF29y9WoFiOwzmHMEcPJjliWNO+gLLiquGaa8WZsActqzGlKz2mfV9NR4mbbbZn+lN+bCfxX38\nzMwPfvCDmbm/OplysxXZFx266E8+jxw9zNxf9bXI7zZ/pA5WY5RtQs48xWebZckcAK0sGoa5vjYH\nD3QJHicOdE2c3y1sBdsM59+0dXMAxNV3m894n2Bz/yoEyJGyg/3I2gPHErNIXoZ9mHGnKST1aWPY\nNXB3d/fA4ZNZAvnOxj5kFhhz0GWOAx77LsbnmUrIHBSxLaQNsC2wP6QtMg+5Dy23dGSVcA+x3M6c\nnTnQgUOuZxtn244Vz0LD8Bz7nSmQTI1iY55ZZHeO1MiRczazEq0sR5/nfFXLUimllFJKKaUI/Vgq\npZRSSimlFOFJMryXX375JOGIDI8bz/PbKqZDTGIWT4WYD3vbnGlmP5pFaYJPBGOLBr6Snh3Ba0w6\nwDzGzMln26ZekyTSnGx+/HfR1iOpMSnUzlRtfvFNzmeR54nJJZlvM5XSNBw5GR0apD6PYou8qDDa\neRyoUIYXByoWm2J1PvXPNmQbjVeOG0LqlxIk28Rq8h/2D0urberemdFNNsBzkeuwvT12I6lJoFay\nnqN7WmT4lSzHxoWMp5QesW6SJo45qWeei2yT5yhtzVj+4Ycfns5dbvK9pngwt7e3KqMKJpFh/7F4\nf7vYXIbJry3uoI3/cdwy4/GaLKYP223yZg6CVtKgDz74YGbuS/NsfrC5iWM4ZcLh0uHGjEt6OVYk\nb5kTLtNuWJ/KOfZx/m5tJccsv6RnFQ8umGR9d82LCmV4Fhsnv1mMyJlzfXLeyZz/WIdWPLYYktZv\nVtcEiwe2ig+aNmIxiFaS1z/7sz+793fm4bsPoTSf22EyTtg76G7bB+f3PNPOEZaL9Rtz4kbMCZO9\nW5qE0o6PHMM8llqWSimllFJKKUXox1IppZRSSimlCE/2hhczX0zoJgMwr0wzHqfATP4xM9K0zeOY\nYnlNjnmOXp2SDprvLVZFzIc0V5rXMebLJEc0xcbMS9lBztHMH/MsJWU0Raf8eI1Jhni9xZeKqdtM\n/jsvgLxPpBk0uZoUkfdMWbLM8pyVLDD5ZfyueILJNazrF53b29uTRDQxlei1LGW4ii1gpu3UG2UM\naQdsy+bNirKASLQY44HxWPIcSw/7XtoJxw/WL8+H5Jdth7E6zNNczlFqYJ54drE40lc4VphHOpPc\n8f9s7DJpG8fIjEUckyhnSnswaavFjGFZsE4i+aR8I+k0ydk1cCnFsFhvK+9yJp0yWZt5gTUPk6wX\n1nVg38w1rPOMEe+///7pXPoZ82ByWPPaxbGefTxjLSVTSYe1UT6P7Tb/a15ZWQ98dp5pci2eCyaz\nmzlLgyh3TPnvYixaLC6W1WUMwJn741TKiteYROvaSD1bLCSThLPsTYaX/7Wxnf3PPJQSe0/hs61t\nm+TVPK/a+x3TkGtsjpg5e5yk57ukjX0p7Ytj92uvvXY6zrsn05Yy4r0tdiDLMn2NskGTnfLY5mDr\n5yafe6z36R32XvvUGEy1LJVSSimllFKK8GQHD/lyzZc1N2LmK9A2O+b6GY+dYiszFk9o5rzZLT7o\nZ86rXRYpm+f5pZqvcVp8co7P4+bWfIW+/fbbp3O0PFl6k0dbAWEas+KwsszZinfKylYqZ85f7vyC\nT3r47NxntUk29c0YLSkL5p8WAfOvn/bCDYJmZeOKTe7PtnYZ/f3ziND8t4WXX375tCr07W9/e2bu\nrxJdxr6Zub+SY+We9sF2mTrgahLbevoZz6U9MqI4V8LMipR6tZgmFgtt5tyG2Z6ONmvymSvHF5es\nHKlYrA57No+TXotZZfFfzGENn8n2n3LjObMsmeWaZXHUj2bOq+xsa6nb5MFiC72o3N3dPbDQ2Ny1\nctyTurLyNGcMK8VAnsn2H8utOROYOfdt3tNWj80KzTwk37wm8zNXnNmGc8wxx94H4jyEfZi/W6yk\n5IfzEI8TY4bWJps3TYXB8jOnEKlnsxTymKv3lw5QeJ+V5drynbRdU7zASy5jOZplfuWo6UidYBZ1\nlqO955gFhdewvlLHHF/NwVnGT9avOcRaWc+CvQtzLkp62A4T4zTqgMv0pn8yPXlnZpn/6Z/+6ek4\nfYPPNnXYDrMSmWXJymJnbXqsdejziLdUy1IppZRSSimlCP1YKqWUUkoppRThyTK8bMKO+ZGmQDMv\nm3mMZtNAk2xMpD/60Y9O5yi5i0SBJvKYUmlStNgR5uP+nXfeOZ2LbIGmW0rGYs6zDbGUa1h8JKbH\nNn9fPuOS3NPiD7AsLBYM85DfTR60kkXZpviYnfl/lEfk2ZRzpIxovk75cwMlzbx5pjmFMH/8Lzpf\n/OIXT44d3n333Zm537dMxmDOHmxjJusqbSJxU2Zm/uN//I+n40he2N7MQQf7aSQElGZGShipwMxZ\nzsV0sz2yzYS0nZU0yX63srDy47FtyI/8YyVhs5g8GSPYpyJ9YD/hceCG8Evp82V+sgmYEpX0TY7P\nkdBSFsV6yrjM2EuR+yVfT41N8bedS5myyeM4tlh8FoNzQe7D+mM7Sp/hGJ12QpmYbSZnf06d76R5\nJp2n9MfGW/aFlIFJcaysWE6UCaU98pqMC5QQUxqUccGcQjAPKSve25yzcMwxuRXL3Oop5UpHEbmG\n92Y6Uub2vmDvRtfC5Ry9k2BxrDEHBikrcwLAe1M6bPNKxl+O02wr5ggsYyT7ksUyIulPvE/SxnRx\nPkgbYn6SHpbF17/+9Zm5P56b9JP9L/Mx+80PfvCD03HGFhsbzGECxxjWSfJtMnyLrbjD5Hws08fG\nD33qO+N1zXyllFJKKaWU8jnxJMvSzc3NaTUkX9bc8M/V0GBRkbmKmy9nftXHVTG/crmhPNfb6h1X\nfczJAr+8s5E5q/gz569fbmon+YI1N7BcUVhFcb58jm0otk2BM+6WOfAaHltkbNvAHlimTHfSwdWB\nrGzwPuaUg66ns9rIr/qUm0Wt5//yd7a7mc/PxeTfBr74xS+erDEpY9bLblNj6sPqj/WT1es/+ZM/\nOZ37b//tv52Os9rFcs8Klbkxnjn3M64YJS//6l/9q9O5rBb/p//0nw7zYP2DK9XmotnclrKNplyY\nbh7nd1u9Zvu3/m6WMq5sZtWQ6THrWMpsZuZ3fud3HqTn+9///uk47txp1Up66HLexg+zBNDylLq3\nDcIvOs+ePTuVibn1TXtjGXGOS9lw7DGHRdYGOb+Yc6KkY2WdSP3a5nazwLPd8tgUBRYegNDyGFIG\nbB/mXIjPtvHeNvLz+szfLAuz+FgYDlMrmBWaeWBezVFT0mnj88pBVcYvPsccbVwTdKYSbM5mezYn\nT3x/Szla2dNCbO8nnEMyttG6Y1Yvm09Zh9YWrD7ZFtLH2NeYdnO7HVg+9hxeE4UAFT0ZJ+gsiPfJ\nsy3UwMqSY7/nOax/K79dXzQHcY9977OQHvYuesT1zHyllFJKKaWU8jnSj6VSSimllFJKEZ4kw7u9\nvX0QTZ5SlJjrTNIy4xvcYtq2iMk00/OamFJptsumzF3sFMZHyuZ5PifX0ExrEh7blMprKNeIadN8\n95tMkdAsGvOsbSKnOZL5yQZh/h55Cc3Okcoxr+Zfn3nIZkE+j/dMufDZFkciEhBubKTMLu2K8V8u\n42Y9xe//33a+8IUvnKShMZGznRxFkp9xKYuZ6dOOWO78v6997WszM/Pd7373dC7S2P/yX/7L6dwu\n6nzaOjeXJj+UzlCalHta36MsgH3O4ixZ7Le0QW6OZx5MPmRlynadcZC/mzwo51YSwNQtN/Yn33/w\nB39wOvetb33rdPxHf/RHMzPzH/7DfzidS52aZGEVF80cPETGl359TXLXZ8+encaeI2cFtjl/5twO\nWeepK/bXtNGVMxOLZ5JxnfMe05j2xvTkOebEaCULN0cHkQTFccjM/TZqc1fSbjECLe4f0858pW1y\n/P/GN75xOk7bpFQpeeA1FlfR+jOdOeTYxlqet5hUO8muyZZt7DLJ0zXw7NmzU52lH5jUkn3NnJLw\nXcOkwfZ+YdJQtne22VXaL0mbs/iWtu2C5/n+Fgkupdq8Pnm0PsQ5LeM921Scsc2c3534vp7+zbJg\nWeXdw5wacSwzmZ2NVWzbJqkzORzvk/7HczZG2zYUk+E9VVJey1IppZRSSimlCE9ajv/CF75wWm02\nS06+tneupO0L0hwvmPvGmfMqjblo5Nciv2RzDb+8j1adLcr5zHklgWnLCsjKyULuZV/jvE9WHFab\nE23lwspyt/pp97aNyVaW5nyCZWqrlraCz2eb23duOszKBq11l04Mrsmy9PLLLz9w7MA6tbxavaw2\nGIf0OToTSP+eOdcrrQ85xzZK5yt5JlcA879//Md//CANzBfHAOsfgZYPWhttw33anrV1s3rzd3PN\nvtpcmjHC3KNa3a2cLNiqYa5h+2cbiLXcLMVm4WA5855JO9ObfGcV8pr62WeffXayLNmKvllMbbxl\nXaa9WbtdOcLJqjLnyvRXrkLznhmnOa4nL6zTWHNXY7RZ9ZM2jhlmyTHX+5zjYulhejhnJ01so2lf\nXBXnc9Ku2dbNcUnyxXJmGaQPmHXHNvIzbWZdNusDx0BzCGVqgMe6T37RePbs2YM5yCx9T3mHsnaY\nZ+zUTUyL9T+mLWODzU98tjkGMkcIFr7DwrTMnNsc55WUi/VPtmeOaRZqINdzTGcYnYwdZgFkvvNs\n9jVzLsE8hFX4DruPKUfMImmuw+092tRSR9SyVEoppZRSSilCP5ZKKaWUUkopRXiyDC9OEWKSpOkt\nJkea+mhKjRnOnDVY9HmaBym3idmPv+eeK/lczPIWV8RkMjRhchNoTLaUJUSmRLmBbaI2hxW28XMV\nwyZppzkzJlvbgDtzjtPDDYQxIVvUcXO0MeOSLDOr2qZ33tNigSRfLGem7TLWy8y5vaS+riny+Usv\nvfRA5rrawBgsRoGVO8spbYNt1eLMkMRp+L3f+73TOZru03ZpUs99Pvjgg9O5SHRYz5TXpT0z/kvO\nWbvjM1k+Jg9KHplG9p/0beb/SBbI8xYThpKi5NGikM+c65l1Elh+FpOHG9xTRiZvZuR3k+ExD+nv\nkfpdUxyYu7u7Ux0ftR2TY8745mGTwGbsXcnTc8xzaY/ZAD5zX5KXemPclDj94LlIYMzxyMy5f1HW\nlucwvZzvTNqacmN/zrPZ3thG0zZNim79fuZcvpwL0m538dXYF5IOcz7EuZLknYDvBjk2eRhhHjNG\nso2kP/PcNUEHD4FlFigj45yWemI5pr9YO7X+N+PyzDhY+e///b+fznF8zRjItpQx3WSDJvnmsY3d\nVhYz5zJge7d3qDyT4zmP82w6G8o17J98z0ja+Bzrn+bQxN7nLQ6r5YFYPEKWufWbnZT1eZ2C1bJU\nSimllFJKKUI/lkoppZRSSilFeJId6uWXXz6Zr830bVIGmt5iLqU59sgMaebumbOp1mKwUIJAs7t5\nW8k96XnN4lLQNJn8mOyNEgTzumdxn3ifmC75bJMCmeeulXet3IsSt5SVeRNkmfH3lAtlC7mnSVd4\nvXmaosk2vzONu/g5+d+0m2vy0nV7ex51zyMAACAASURBVHuqh9SfybZWcQKsbaV9sJxM3mjxf9hf\nU96U0/B68wCXemPbSv2xTpm2mPstPgz7q3kYY/s/8l628sRjcgnzoGcxWFguyQ/lU+ZZyWQbJiem\nnMTi1VCqnHri+JsyZz9jOtLnTGp4jTK8Z8+ePZA9sb0cebyace+kOcf7Ri7EcyYZs2evYhQF9r3I\naShntdiHlOJkfrG2bLIZ3otzts1dYecdjGmLRI1pNI+65nWS9067Zr44vljsw7R/k/fzGj47fY/1\nmf6+iqVmMip7d7om7u7uHsjwSMrRPLjNnOuJ5Zhy5viaZ7BsbVsD21ckZXzX2vXztAW+p5iXOpPb\n8tnmXXnnhdg8F+eceZZk3kxmv4rReSlRnvEYRRbvis9Of7G5fiW7DLZdg8+xvraKFRqS33rDK6WU\nUkoppZTPgSctx9/e3p5Wm/KXX3kWP4BfrRb9/chpga20zZy/ePmcfIHTskTyRW33tE1ktiFz5vwl\nbDFPVk4GUi783WI8ZeXR4hLxPH/Pl7VFbZ8555erjTlnsXf4pc86yXmuZObYVkmZN6snrmjnnMWz\nmvHYV5cOC65pRe729vZUtrZReRfDJeXFtpXyMmvtKgK6bfBMG42lYeZ+n7LNk1Y35oSCz8kqFC01\nSS9Xv4hZtS6fx/SsNmVbzJPLuF4zbqXb9ZmcY77Y7i1t5sTFxqxdzDVz+mBjEttInpPx45osuIyz\nlLGQq59mtTcHD7babWM4263FRWP7t1V4PjvW1W984xunc++9997M3G9vWcWmVSuxipheW9lmW+b1\n1gZMPZD8cHU9m+kv73/0bPYVWylO+dPCYGm1+CwWy3Fl7bZ6stg6Zrm2+IU7BwbXxGeffXZqiytn\nBjNrq56VafosLe7pd3w/s5hdHBcztq2sWrkX57zEI6RzhKSdzlLY9tM+zbLEfNn8RcwJiMWqNKuM\nvUev3jdT5kzPUWw0iwU14+qx3JP3sW8Ac9xgzq5W1iSz2Nr3xWO4njfMUkoppZRSSvkc6cdSKaWU\nUkoppQhP0lTc3Nw8iG9j8V1oCuRxfqe5zXynm7zLJAr83ZwAmD9222xqcTQsVsLM2QxJuZrF4zBz\nOtNmZneTfTDfMeXb5m6TQs2czZyMj5RjSiJi7rSNeTNnE7WVL2UftnGdebjcXMdn8tkmKzTT7jXJ\n70jqM+1xJ8PjOXMEkutZf9ZnTP5lfcaknnyOSShs06xtcp45twVzOML0UjphzjBMJmMbZG2zrI0B\n5riCx6wni8tijiIoRYi8itdYG7cxy2SFJhtcSenyv/w9x3EKsZOIvGiknCKXYbmnXZuEc+Zc59Ym\nTNpCadCR4xHek85MzLlO4h7OnOVG/D+T2nBOzrhPuYvJhfi7SeVyzGfnGs4z1rY4N6X8Vu3fpHL2\nnPRn9q2dcxJr2zZmrRwBBNu8vpI6/V2BMc1so745wWJ9pD2w35hjrUg26cSGbeBS3j5zjhPIuYjk\n2ZTcff3rX793v5lzW2BfYV9Lv+I52x6ykoFepsdknpT98Tm5xvof26nFITWJrY2JrE97X2FfSd2u\nYjMlbxb3yeZyYrGvSObJ/FYHD6WUUkoppZTyK/Aky9Ld3d3pC9bcBdoX5s71X74muSqa/1ttzsyX\nrn29rjbjWnqCbTLjs2312hwZWNTiGXeGYavBRyvwPOazc2+uwtjXtll/uPpiLmRtc6s5XmD5cZUi\n13CFwzbh25e9rQiYNeNaLUuXsIx21ibbCGmbGu0c68Xc7aeuV44ZrD6OLLjW/mfO/ZCr8Wm37Ge2\n0dScorDdpj3aCjvPczXYnJDYKhzJ/7LvZeXPNtry2RxzUgYrhzc27qYMzLJvbeDy+nC5InlN/e3u\n7u5UJrGisB7T3laW8xxbGZrF1KxWM+f2zDkjFiXWH9t9+oe5gV/Vrz076dy5X7Z+ZuMG82juuc11\nMft95g/mi3OgOaWxvmcbu83pjKknmEaOC2kjcQrCtJnjD3Otzmeb5f/I+cGLDN8dk397r1pt+M+x\nOcOh9TXHLG+Wc9oVr4nDEzo+4XxhzobSV9m2056tzcycx/6VE4awCxOSMuA8l37Dc+YIwuavlRM2\nc6YS2EfsfcQcVrD/5dlmteL9bewwy+4qXEjK7ciB02P73PXMfKWUUkoppZTyOdKPpVJKKaWUUkoR\nniTDe/bs2ckEFvMhzXZ2zqQhBk3tNLMFc1pAE15MabzW4sxQJmYbOi2WgjlcoEnRTLu2qducNdDc\nm2Oabi36tG1ypFTE4hHtojCnXEzONXM2RfM5VhYkz7GNtbbRcCUzMlnmNW+Svbm5OdxIn/LYyW1M\ntrhz4EBMKnd0Hx6bsxPbALqSEqb/sL9GZsRzJPei/CCbvk0+atK8GY9NY/E5dtIk6zP5Pz7bos2b\n1HAVu8r6n8V+S35YziZzsHhxR5KMFxX2MxtP0gYpBaVULu3RnNFw/Lc4cebQiI4O8hy2E+uH7Aup\nNxsXTCbGtNl4yzywjZmjoeSH6cm8yLbMskx6+ew8h+Vs86bJgMyZA98HrA2bbN8cD/D+lIfZmJNj\n28jPa0yCda1xlp49e3YqF3NKZfEXrW2zr6WN8P/Sl8yZwIxvs7A6tNhC7J+2DSVtk++yfJeL1NXm\nImLtbxev9NLx2oy3uaNYpzPr2INHabS53MY623qx2j5i7xnWb6y/7Bw2PDW+UqhlqZRSSimllFKE\n53bwkK9jfqXlHFek+NWflZadlYPPC+Z+erfJzDbe2tctv+6TB65I8XdzaRyLEiNF89mffPLJzNzf\nRGubAY9cPs+4y+OsXLBMuZKdfDM/yYOVFVdCWL7Jr23AXK30554WmdlWDGwTI8+bww+ztl0Dl24t\ndw4eiFkGUnY7hysri9HluZX7TnMBa44k8vvKpW7aG8cS23DP623lLmMOz9mz2afMWUzuwzwk8vuM\nt1FzPZ2VddbRzuoV6xj7kVmSrQ/YZtdVHadtmNOe1M01bUBnKIxgloSVgwcb93I929ZuNTdlbO7k\nzSEC72lOH2x1mXOPheHguJ/n2BjMtNt4zGvMdT7L8sgl8coBkLnEP3LfvXJIcrRib+80M+e52pxh\nWB9mOa+OL599rZalmYcOrEydQ8sj27bNg6lbm++IhRyxcYztkcexYNGyZM5UUq98pzMHXTt319Ym\nbUzms81BhuXbLG47RyS7UCU765c5qTCLvinBOHceqVF2jt2Mp85ltSyVUkoppZRSitCPpVJKKaWU\nUkoRniTDu7m5eSDremwk8hnfiGwmOvONbhvhjnynX2IbPm0j5s9//vOZ8c2HqzyYUwiaKROX4Wc/\n+9mDtPP/kkbKbZjHPJt5iO9+iwswczZr07yd9LJMLY4Sj03OYNIuM5ta7A3bSGgbhvmco7K/pvgv\nxKRTwZxkELYjk3hauZsp3GIvMD38Pe3ZnIywPSWmBSULTK/d22Jt8PpL5zPEJIArZw0m+bDNu+Yo\nYScHTT2tJAA29iWPK6lBzpsDCHM4sYu0brLKa+1flxJRk1GusPghNp9Z/C/rhyR1Zc4jZs5yNjpC\nsLpKn+N9TFpGGV7SRsncrh2ZE5/ch3JFi61jkrrVmGSxVsyRkEmz2N8tvTsZq/VZe+84imnHY5O0\nX2s/m3k4V1PSGkkz42vZe4PJM63eVjJOqy+Lo2SxLJle69MWJ9PeR01KuJPh7dph8sA0mgM0S89u\nLlo5h1mlgdcy7XZuhb1nWPnuZHiPle49huvtmaWUUkoppZTyK9CPpVJKKaWUUkoRniTDm3koE6Ep\nK2Y/mpd5bJ5IYs6kqd5iJlEql2fvYiiYedGkEOYLf+UZxdITmd3KE4nFYDG5Up5j/zdzziOfkzJY\nmVLzv5RrpAxoNo0c4/9r78x6bEmq67/rYvnJEj0P0BiwEUaWkCw/+VP7S1hCwrYsY9licDM03TQ9\nMD5YsoG+9X/5r3N+deoXGVXN9XAPa73cvFknIyMjYkdk7r1ibVIvLMRMGpLRmY4U1Fgfo0HsQtGm\nKrXK8fS845Kmucu9YMpBD81Fxd+xnCNKzE5JhtdkjEbVbeZMHyXFxqhwRjXkOV6Tscsyj6h7K8qL\n3SdttMpvZNek/YwGsqIxpv1N6dOoyPy7UZx2lA+jee0oH9cC5g00KrWtD6RSmwKVUU5M+clsin+3\nOZoUm4x1ngt2NBVbU2zs8LnseruP0Z+MvsRjo81wDBpd1tb7x6wFZodGO7b67tam9D3tlXThPBtp\nx2l//u6acHt7e699+c6XY3sv4Pnde4PB1kH2V2xptfUifzd72FG5WN+UabTdHdXtofTg1dp4tIVh\ntf3hCLZGPJRax2tW64u1r21d2VEfn2V+wEaWiqIoiqIoiqIoBI92y+dLLV4Ry/Ow8iTZF7Nt0Ldz\n9mX9GA+a5RsycYR8jdOzYLkubJM0vRVsA9sQm2iUCTyY52Hm7IFkfbP5cJXbKtfTYxrvlUXZVpve\nc42JOaz6yXJHHGWsXm0QNA9k+iFe32fpQfjfxu3t7amd016Wnd7ynBDmJdp5hHbZsY/K4TH7OWOd\nHnrrL8tJYXVY9XXqxPFPYZMgdh8xl5l9dDT3pM3wd5aR3MQaTHzCNso/NL/EzLmtdiIglpeE80bK\n2XnzrgW3t7en57O8PFnP+Oycey3aaH1g85vlALRoCqMPHNfmnc851tHGpZVJRoFFjsz7bGJJfEaL\nqJlo084jbcIN1paWV4ZzikV4aY+xhVUespRpearYFsHquQ25nn13Tbi5ubkXmTMRG64RnKdyzU64\nY7d5P7+1SOoqz2NsxCLyJlqwYnwcRT5XecMy1syu7N3a8n3NnO17JzixEzmx3IH2Hmhz4m5NI47y\ncdo6uBOpeBbrVyNLRVEURVEURVEUgn4sFUVRFEVRFEVRCB5Fw3v69Ok9IQDbpGgb8QkLmzKMnRCn\nUVZmXF9/F361nEoJ+dqGcKN8EcwHEMqdhUpnzmHcl19++d45e8bVpvecNyGJ1UZgywdwSWGb2YdS\nbdNvjlchUBsHGSMMg6duq82tGWt8xssw+I7K8TyB9CAb17aJfAdrJ6OzWh6hXS41o5vQzkINsFA4\nyyaF4Be/+MXMzHz2s589ncsxf8cyM05oZxn/O2oSbdw2E+f6UPgun9ForLn3LgfLQ6mGq7xa6VsT\nDTAbXI2bIwrgEdXvecWTJ0/ubbo2Gt4q90v6cNcmNneaeAjHm+U6snndNp1zHs3zrCi7GXu8JuOa\n48A2jhtdjWM5zxXRpJmZjz/++N69jRZodKsZpyAZZcdyL5ktGNVrRT80Sqr1veUrM1jZ12RfxM3N\nzT36XXLtEa+//vrpeJdD7IhSxra3fHhmx5yTzVZt/Ni2BRtTrIeNrx31k9dYPfK89t454+9dJviz\nypEaHL1nGWWO5e9yJtl7hPXjQ0UfeE+z2Z3IxCUaWSqKoiiKoiiKohB86shSvE/0dtmGZn6Jmsz1\n0Wa1nViDyW6zbHrJLXphG54DRl3s6/aFF144nTMBAsuIznunTNt0yt9Z5Mk8D2wreurMW2ye6PQN\n+8GihibCsPLipO7mBWc5tnmesMjeZRb0a4ssXfbrzsNinqeHbtxc/e4oGkXw3hbBtTGcujPiw9/l\nekaJYlP0jlHAIXMR65NyGBHKPU2sZMa9URZlM/EV2m7qs5OFXXkVL7GSNDavq82rZvdHggSrOl4L\nnjx5cho/R6JBq2i7RShtPjIxAROwsXMWQeGxiYesRA0C2lzswyJLLJte/iOPtK25q/eBrAHm0V+N\ndUtZYu2bZ1xFx1I+16HUnc/AeexI5Mhs/DGRpT8EpM3TVhxz1rY23m0e2onqWDuvJMoDvvvYfJix\nxMhv3lNMYGv1DLYG2/xsKVvYVpZywuTPd2kq7N5m5xYRWqV+OQLvZ1L7Jvpk6R1WAg4mALEThVih\nkaWiKIqiKIqiKApBP5aKoiiKoiiKoigEnzrPUsJkDOkz/GjINQy9WebmHNtm8xkPoZsWPkPol/k0\nZs5hONK8shmVz2XhYJZtG2KTW2Zm5oMPPpiZu9S8UHS4gT3X81rWI39nFvlshGdbfP7znz8dhy7I\nkLcJWxgFwbKxmwjDitZzJMTB/kyfMPRtmwFNBOSxm/SeF1w+j4WROTYsIzlhoedd/pdPs4H2KBfC\nLq8GbSr0KBO2ICWI+PGPfzwzdyl3RgVKmSuqbdqA9mE0VbZzjmkfmUvM9lbj1cQljnLR2bWsp9HG\nVlTCa99kfgnmfjFKmNHa2Db5O8eOCR9ZzjCjltncuRJSMeq3za2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G1DARBntXs/XdWFI8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YLYtznYl6BLPYL0ZVt9h9e7FJCKPAzKhwtt5ZOhbjxOplFauG90eIw94NTFCB\nz2PbZryvYr8YJd7odVZu1rnFnzKa4z0LPexRI23uWdEiV2JDwSrept27ooTnnIl9zOKu7cXYW4mK\nWD6tLDMBoj0Rmdmz7X3U4pPZWm4CRPYeYe4dzIe5l1idEzxn63by9nu/93tP8r9CLUtFURRFURRF\nURSCm6XD8zWWLz+KOcRSwS87k4M2x3RaOfKlxy9eE2EwAQjeY1YbfkUmP2ZNme0gb9PjPawL2+Xi\nV7SVcRtNfgwXgODXf8rAnfHPP//84r8mqMC6yHWKYthOgDnPmTWCebevfzqr03q2TXsMdwjd7gLe\nq4Os7VSbjLNZFnnuWlGPlZiDOeKyXZI3jnuT6c397Lfso+kT5vjK+YNW1PR7lic70ayL5I1lYH5N\nmj1zyUxIxaROMz9RrCN1wLqYSbcHqX8TdWCeLD8mlMJzLM+eg/I9CqlQot92Ms0CY+02G4db0BrC\ntE30I2vFzKq1x7QwoRxzEGcZiNTBSqDAYJaYW/q6rb8r2e29tYnzi4Wj4Jqd+7kG8nhPdtreRXjO\n1jPOXWZtuidwrJkgwEy+envdLCMra9RK/t3WtJVVJlixOOzY8jizltgavCfaM3v2y1jzTFDJnp0+\ny/Fl6zb7e97/vvWtb53Ozdhc2/LMLNV2jt8A27xlzF27ttWyVBRFURRFURRFIejHUlEURVEURVEU\nheBmGl5oLTGJrWh2pFuZE63R0cwp1ZybVyZQmuDNETPXaWZMeUz0YQyP5xSzIMtqFCiaD0OzMKc4\nps00k3emnWOaOE3gYRW13WI4memXtASjOtCkmfMmFGGCBLM4S3uR6VP+e6MJbc3d1lazNg+1xNpv\nRYNZxRsyWpZdt7gGRm3g80iJybjIfMO0+TxSTnPM8ZpjjjOL0UWazC9+8YuLMuR+1ulHH310Ov7k\nk0/GGGN8+9vfPp3LODYhlVl8qVw3aqrlZ4xzvRkFzJxzZ3STwBx+7218jfHv9b4VSrB5ciXMMKNm\nbv9nMfPG8DnMYoatxuu14iq8TupLYEJNtmZb3LSZOMI2bR4bzXcWqybXbQ1kOxhtdkXXSl1w7HFt\nS13PBJiCPHMVK8ryy/X+3mD0u8Doly8zD+31KR6v3jcN186BM4GGlTiS3W+xSffqcUbDW+Vt+zxe\nt/c7tpPFGJy9HwQZQ1wv4+Izxnks8n3T6L8m8rESX8s6+v77748x3NXFUMtSURRFURRFURSF4Gbp\n8NONsjPNtQEqAAAgAElEQVQczHba9iKDcwfZhCIIEzVI2isZZMKcKfO/mUNdjs0xzXbTx3DnRNvx\nzrE5wo1xtnpl53uMcx3QkY33mCRpvry5450v/dnuW66bwyu/zHmP7fhZO5nVyiyJLMM9SxofDocL\nuXSWPfXKHRT2mfQTE8Qwh39zNmea1ndMsngM3/lNmvZs9hf2x5///OdjjKc7t2aFNiGJlfy57ZjR\nqmXXY7Vinf70pz89HaeuPv3004syEskHRR+snUxSdSUPz/wmTQs9YNa6MXwXzuSd7wWHw+HU5/LL\nes28xTFhzATWzd5cNnNMTlubFXC2Q25Wr70d0lk6KZs5cdPqtJLwN8lvA+vS5nWzDBDJu8mAm4gL\nxwTr38QnsrM9a++s+SZMYOI1XPcIznPBZ599NsZ4Og/9JsEs9/Z+xvZI/1uFQLkWs3eKvbACHDdm\n2TWhMJYxY35liVlZZINZuVfhAAKzQDM/GVfGoppZr02QLcecs/gOk7Fm74kruXBbO3ku788Za9fK\n9deyVBRFURRFURRFIejHUlEURVEURVEUheAmGt7xeLyITWQmLJq+jRpgeuyktZmTOE18Ji6R45lj\naEBqQahrZu41usAYZ3rFG2+8cToXJ7XZPTET0xRozurJD2l2LGPqlSbQ1C/r1Gh45uRotA8zaY9x\nbosvvvjidM7MxUbDI0UwzyY9KG3C9jInPYvJ803M7v+ZsY2BwPZLfVocIMJoP0ZlZB8jUt9GZZmZ\nrnPdHLCNrknTPPveq6++OsZ42keNAmh0JhNNsXOsU46ZHDO/oeHxf1bnrCtzfA0FjvnhXJKxb3QT\n0kRsXmU7Wgwt60smWMBxuKWg3Bsdb0sHtRhUbD+uSXZP+ibbz0QAVtRLo67MBEm2aRqNchY3MM/k\n2Et5rA/OyrClDY/hFD+WMWPF6DszkShbA41OY/MTyxgarMXtsTV5jH3qlcUXnMWKsvzkveLe1jFi\nO9asvWYx4EzgIe1BSnOeMXuPsXdCG2sGix20ir1k/ctEW1biEiZ2YdS8WVmtn1osPvb3zHUcaznH\n/1lcNj77tddeG2OM8eabb57OmaCYUYrZB4yyuHIfST94/fXXL/Jr7517uN+RWRRFURRFURRF8Q3Q\nj6WiKIqiKIqiKArBzTS8mLBMjccULuy6UQuMVjJT9zGTdsydvGY0PpohY76nqS95m8WjsVgmRmuz\nOiAFMP81EygVcWjuzH9XNDzek2eTHhRY/Cjm0fJLk2Wew3NWb6xfi/sU5TOjLhKmlGPUonuCqZGl\n7mZxUFIn1hZGwbH4Ltvz2+ewb7B9E2/IaG2cC7YqZNtjy2+eYzHOxhjjO9/5zkV+MgewXKGrccxw\nrgjV1NTyZpRFozslTaOm8n+k3Rp1Kf+lwppRhzlv5Jmm3kY1PNITTKHTxuu9gLTyYKXAZXFw2Hfs\nXFTWGEeEfd3WruSLa4qpPLFdrK0s5g/nUYvnZHVgNG6jnVv8Fc7rphpnayDp3hwfRkE2OrhR5liG\n1Dnp/6H+cm6z+mWfsTnJaFI2Z/FcqGTMzz3hcDhcrEvsF6lHtqsdmyIdx1XGHeuR1+39Lu3BtrY+\nMFM3DJI3W4sJo9zNKGzbtMfYj480Syf3swxZyxirkGMtY3CloGtrNdeY9O3Q8cY4rztc02yOsncc\no0uyXDZ/ce7cvntcu7bd3wpYFEVRFEVRFEXxH4Cb4yxtY0bYF93M0pCvO+7MWEyTleBCYI5eJvow\nxnlH0BxHuVuYXQg6XdtOgO0wc7eQX7+pDz7HdldSB5bvMVzoIF/9s3vM4T67D+ZYy3tZhtQLz5mD\nu8Xe2Itnxf/xHHe8s0vB3YFtpPdrnfSeC7YO0xxn6Y+2o83rHB/pM9aXZ47j2V2zHUC284cffng6\n/vjjj8cY7oDN3br0iZkF12JJ2DnuTAVmWWW5kjfuqBGp11jJCD57FUsq58zpfRb/xRx1c7+JC7A8\nBmtvE0oZwy0GZqW8J2wdy80pn+1scfxsHFpcNNa7xavj+Mh8a9Z9HnPX3IRAkg/rq2Ps961V3BmL\nSWXvA8w3r6fO+ezMFWEbjOECQRazkG2Tc9zhtp1vtkPWNtb5yiJkVkGrN9ZB0ufYSzvGunXPMCu8\nMSg4hkxgxuJS5hzfh6yNTViIQiwR7Rrj3FdM0MTmbnunG+Pc901Ux8QjCBuztl7OBB5snGf94zpo\n75usv+Td4rJZf+Yxz6VObf1heWfsme05s34xnxzTaefkp5aloiiKoiiKoiiKb4B+LBVFURRFURRF\nUQhuouE9PDxcOJmaNvrMwW3PCdSoM0YTY5rmEEvzPc2LeTbNlEaTCWgeNPoXHeE+/fTTMcZTB7Z3\n3nnndBxzH828yQfNhxZrwEzMrCujF5LqkGMzTRplzu5l3qz+ZrQoo0zsUcRYLjr4mpk0dZS2mcX9\nea7Y0g6MnsC+YfEneC79lX0rfXwWv8f6aJ5JmgPH3B6Va0ax2P6P99v8wj64is9mNM2Um+WiOILF\nl7B2mAnQbPPD+rXYDiv6oVE1WAfmoGyx3awMpImkTYxCfI84HA4XokRG9WBdk86xRxU1zKjSJr4T\nGhBpZJxbQ9dim1vsoLS1UeYIo9+y71hMHD7HHPStLk18heXPOs7nWVwao+GxrnKOfdkodayXlJfr\ntM1JLGPmVfaRPGdWhrQj2zPXSf+6JxyPxwvBJxPpmMXdyzy/ouYlbY4vE9Bhe6TfMF4T2yHHPJf8\nGO3N+gzzafO9xcMb49zPjYZn5+ydjulzrGX8mWgG07J4YPxfju09j1iJMFisN6M02ji29X2MS8od\n04wg1CrG1elZV/2rKIqiKIqiKIriNww3WZYeHx9Pu/+2C2kCBOZsyq9K20nKDhzTmUmfBkmTOwr2\ntW7OdbbTZjuuY7glLPmdfaFnp86+YE0ek864PM7uN3fBzSq22g223Ubb6edOXb7MV9GwLeo2d+py\nzLpKXc/ka20HZOsAeE+WJUr0B9YHuVNtO6iraN2536w3Y5zHCus9/X7l0Mxnp83N+jWziJpEqcmW\n89nmaG8SwpZHWjLNudR2/wmz4AbmuDqThE4+Ofb2os6PcS4jx0/OmQDGLLyCObBvdwDvTaI/9WSS\n7qmPmSRuznN+S90Z64F1zbGbOuZcb4I7bMvkk30jfZQ7qymD7cjzvFmOZlZUYxmYZS5jYmbVyjpm\n7wusZ7NScw6IRYCWAbNwE2YlCkxchffYvGpMFNYf12wrQ/5r89Q9gNLh9h5o1kqOq9SprTVsw/Ql\njiWz6Bpbgm3E46wNTCf3cEyaaBdh0vMGe6e28WsWWcLesy2Miwml8ZjtEIvaSqTC8stn2zufvTsy\nbzbnZZ5gOvYeaSwRu3cPtSwVRVEURVEURVEI+rFUFEVRFEVRFEUhuJmGF/OZmRqNokOY1nvEEWgW\nNZoYYSbrmEDN8XmMuTl+DNeRN5rdGB4RPXVBMyLNoimvURLNKXUW38LiflhUY3Pys/olYtqkydV0\n8Zl2zrEv0HwdMM1QJZiHzz77bIzhNCKWkdfvla4wxr+3Wfoc+0dgZm2LNG80B57LM2aOl0mTFJNt\netvjjBsbh+asyX7JMmyFZFgu9n+KuBidNlQXM7Uzj3yeCY4kn0Z/G8Odew3WlznO4rjP/GTMzeLV\nWJyZwJzjOfaMImjUJBPpeO44HA4X8VKMzjGj4RmNwyhqqbuZwIPFhkkbrMR+eD193eZo9rFVhHuL\ngTZzQA9sjGeccrwyvxYfLP3f6KPME8uTurZ3EqP2ElyvfvKTn1zcw/FuVNysZ6TU2ZzD5yQWnYnp\n3NP4mmHv/WMWozP9YRYDKzCRLBN7sHc6o1zyv2zPpG9x0Cwe0xjnNjZBmJnIgNHwrB+nb84EurKW\nWd44p/FdzeKBUVBp+5yZoImt28nPTLQoaZmAjcUsm4k1vf/++2OMMX784x9fpGPv8nuoZakoiqIo\niqIoikLQj6WiKIqiKIqiKArBTTS8w+FwYfKmaTrmzhlFJ6AZLWZ3pmMmQ1IQYhZ8++23T+dizpup\n4cWcZ/QHmlJNHYiIOZj5TZ1Et32MMV5//fXTccx+1OnPOZo4U25SEKjwE1MjzYa5ZxZPwpR3kg6f\nbbGgmN88xxTHLG7WNq0gpk8+O3k0atEYTodJH1rFunmOOBwOF7QWU7FZme6Nlkbk/lk66TNGdzBl\nQt7DfhLzu6nhEauYJjY2OVbSXxnv7N13353m16huvL5SwuLxShFwm1+Oa+bXVAItP6QnpN6Mxmgx\ntGZx8Kydt2nfW9ylbXluUdVM3RqtxuhC7G9sf1NYzTFjxDBvRvUKXYjjLOdIVyXtxuLU5X6jiY3h\nyqg2PlKGmcpYwDFssQSZZurS5g9TqaPKJZF2sjHFuHFcw4zSaK4FScdiQY1xfneICwLvYb+5N+zN\nIUY326Pr8TrPpT/P6Hrpa6bMZjTYMc7taLRscw2w/Ixx7j9G2Zy5FRg9eE9N0PI4xrm8Ro9nXXCe\nSN64PmX8xnViDI/1aTAFS1PaG+Nch/YuzLpKGVlu+ybhvJPxm2+PmbvPFrUsFUVRFEVRFEVRCG6y\nLB2Px9PXY3ZKTFt9pltuOwX58ubXuDlsWiwSnssX5Gz32hzGA3MG5K4Qv2S5q7QFv175vFjAaHnK\nLjh3nFJeE3AYY4wPPvjgSR75Xz57z9GdZXjjjTcuzs12vC0WSOqNOzIWL4v3ZKfgnXfeOZ0zy5Jp\n7tuuSHYR7skx9nA4XOw0meXVdrS36QS2E2uCIuyPtlOWHVTmh30v523Xy8bgTLTD4qSYUy13ptKf\n2W/Zx7f3sAzcKduzLs8cxpMnzocWAT2Wrj/4gz84naMFN3ni7nbGu+VxDI8llWdaVHTL47Zs23Tu\nzaIUpC5MICgwEYwxfBymDSw+HtMxKyDbb7Vba7GbLNZKysW02f5pX4v3NxNcyVphQkImcsQy8J6k\nz+uxBLH/83p2n7kGJr82v3CMW3w2zl3Z+Z/Fwcl1i8PEe3KdaynX/jyblqVVHLd7wHY+NZEswuL/\nWV8yURazQPE823AvHebD4u7Z+ybHGq24ZhEykQF732R+jTmSPM7iqdk7Vu6h9ZoWGhMdSX4iUsJn\ncvxZrFDWqcWp4rOt3MZusva299q8O49xKS5VgYeiKIqiKIqiKIpvgH4sFUVRFEVRFEVRCG6OsxTz\nd8xnRlsw8QPeQ1NgqFr8X0zWNK3RVGjxQgJScCxGjdFSaNI3LXw+J/9lGc0Jj/kwU2GeQ1pf6EEm\nbjC7J+eMJsH7aZLNPUzbYrmYI6LVKc2ipArlmOb0tKNRJmh+XsU7ien3HulBx+Pxgh5EWFwDE9Mg\nUoekhlg/YB3HfM7xEdoK+yjFTDJWjB7EMZN+MGs/O29iFxYThfemHlnG1BXHKKlwMdmzLsxBlnVu\ntGSj4eUeo4GMcR67HGeptzfffPN0LjFhZvm1eDTJh1FM+Bzmd0vjuqfx9vj4qOIjQeZMzp1chzIW\nrP1MZIH/M0qYCTyQpsK2Spo8l2eSFp0+wTbls1N+ppO25rhmnwlVztZSiwVla+EY5zHFeyxODo/j\ngG7rbyiuY5zpeia0NMa5zplOxhzXJtaLiWHkOtvbqI8mMjCjd/4mwwRCxvDYX1bPAfuMxaBkuxvt\n2uhsFo+Qz8ncuHqPsfdjnmP/s3icFpct/dBo9IS5zRAci5nr/u7v/u50LvMb0w6lnK4VfE7mSROJ\nmcVmSnn5nJSbecz/WD8c56lLCr3YO8E1qGWpKIqiKIqiKIpCcLPAw9b50yIUz4QVzJEu50zamjsv\n/JrMPebkbDK8Y5y/3LmDbA7N+QLlNebXHKcDPtt20+j0Zg7s+YqmhCIdXZN32+WbOePaTkrywa9t\ns9bR+dWcmZOf2S550mI6aVuzOLIPmOMkz+X4Hne8iZST9Zr25c4S+1H6wsqB1ix2JnbCc7H6Urbf\nLMAmn2qWQYvqzft5T8Ycd5FWsrG5buOMu/Ymo886s7FnzrscZznmLtsnn3wyxnCJVpaBu2Nmcf7h\nD394cf+PfvSj07lYdZlO2ozzC5+duua5W3ffniuMHbByus+YtF1Uk35n+9n6wf4WiwidlTkOM/Y5\nB1gYCZP0NivSTNQgmDEOApOvD2z9HMNFhcyJ26yfrN+kyTX3Bz/4wRjj6XpvFlXOH9/97ncvysc1\nMu8Es3k3SJ2uhK5MsOg3wcKU+mVZ0x4mdz2Gv39sw2uMce4fvDcS0WOc52w+O9eNITHGeR00afGV\nWANhVtP0Fa4lJntu87S9d5HtwHtSv2aJtndr5pNrVfDf//t/Px3nnYDjj8+xkB6xQrE9bS6zeYD1\na+sly53+YO8/t4SJGKOWpaIoiqIoiqIoCkU/loqiKIqiKIqiKAQ30fAOh8PJ7GXxBVYm/5i0LUaC\nUYFmjud5DrXTY66kOY4mvJgSSQPIf80cPjOh5zxpCbl/Zko1+pDlMSZJmlJpugzFycyvM21/oyx+\n9NFHY4ynZs/QdqifbxHcWX+5h88zCojVJdO26zSdW1yPLZXhnuhCj4+PFw7e1kfZB2maNorAXgw0\nE17g/az30ELZT9iHkxbvyTizuA+zyOXW33LMeyh6kH5Cep1RYnJMOhrjoGSuMEqDCW6wbKy//JeU\nkNQf63wVkyrPplgD6yB1ybrKmDRapUVS5zON0rqimDxXpKwpl605M8dvO5c51ehU7BtGUyG19fvf\n//4Y42m/5FqbPhpaJ/PLvmNO0da+7DuZe0kBJEXJ+knKw7Fn+TahA44PW8845pIW85b+zDwmbYvV\nM8a5vHRK/973vneRd46V5JP5Ce2S+TWaFK+bWFLm+xUd8rni8fHxVP82h2b8sY0Ie5cw6nPqj+mQ\nSpm+zXGVds+YY9pjnN+XPvzww9M5e0fNuVkb2rhLPyVd9K233jodZw1i/0k/5ByTeYf5tjFkAg+z\n2KG5n2nmfdTyOBNrSBn5nLQD11h+F+Td0iiWlkcTzBnD6cHbuFmNs1QURVEURVEURfENcLNlKTsy\n+XqmdSJfvDNp2oBfgRbV2L7QTcqRzw4oJmBfosxP8ssdKVo0Au6+BvwazZczv5K5a5QvanOM5e6T\n7QzyKznlpTx3/sudCdu54S6DySkGJk/L+y1KszkMj3GuS9Zf2oT1Y5HRWZ4cm+N5+sVsx/854ng8\nXogDWNT42ThLv7axZ+OM7czdnaRP4QUTB7Ho9Wy/tC/HcHbG2Z/YJ2L1MWdO/o87hBl/rBfbWco5\npsOdstQ9y5i6Yp1yFz1pcS5JvZkELs8RJmNrVh3mw0IKZMfcxgXzbdLinMdSV+Zg/dxxPB4vdmk5\nztKmJjDAe2iVsbAX+R+tQOxb6Zsmc835lPmwtjLxIa6HBhNMMMu1tTvrKpYek9qmgzjTSd80OWg+\nm2XMuDAneK4zec6MwWCWaxPGMflvjt2Ul3k0tsPsOMgz79WydDweL2T62RdWMtcWhiF9wMbnp59+\nejpHq2rGO9enWEuYNq2deQ6vm/Vwm4fZMds/5Z7JjVu95L2KrIrA3ulm6dhY4rjLfMR708+5hiS/\nFsZjDF+D9wTieD/TSX6NbWIhCcZwq1HmhC2rYIValoqiKIqiKIqiKAT9WCqKoiiKoiiKohDcTMMz\np+VTYhKnw2K9mCgETaWm7056UEAaTfLDtGmuS9wFOoaaBntMczQPkppnZvKkybLSzBuTJZ9jpj+L\nv0BzZygeRucjDcAc7vns1JvRFmg2Nsdbms6NwkEzbqhUpPrkv+Z8yLQtfg7bM/Wy5zT6XHE8HlVc\nITAKAPuTmbgt4nj6CSkLpJgY7W3P6ZPH7P/pZ8zPu++++yRfYzjFgv0x5eIYNhoN0zTKh1GKOBZC\nyeOYMsd9G8MrkQVzSmZd5r9GgZo5jJsojdGMLA6VUT747FxPX5kJcjxHkIaXclp/mjmdp/3Zd6yv\np+5Yr6R9Zp60+Zhz8IrSk7xbPDOLPcJjixfDZxv9lH0hz+Z6xfIGXNPzbNa5CbIY/ZDPsfFsVGXe\nk/bhfBcBDv7PqMy8nvo1mvtsTUp/sjiG9yRURBwOh4t4iUZx5PsV32NyL8dI1hiLDcQ2Yn/P2pH3\nQT6bMS3ZL5IPE+gy0Sm2IdPJMe9ZCYpZ/MuM5T/+4z8+nUt5/+Zv/uZ0zuI5GRVuNqdnXJlY2ep9\ny9qWsPd1ltHouMkv1+U9AYwxznVg8bvsPXoP9zkyi6IoiqIoiqIoviH6sVQURVEURVEURSG4iYZ3\nPB4v1Llo/gpVheZTIqZ+mvxjhqPpLOY20reMjrOKq0A6QtShGFslZnCaSmNmpLmX5rrQCGjOTD5o\nRjSVKdN/t3gcpqTEdGgOzn9NOYb3kOoT0yXLnbpgGUiPCHhPnj2L/5I6JE3LKBNG/7H/zeJuzf7/\nXHE4HE51kjZg+4aSyjKbeZ33GKUo49Uoj2O4KTz5MbXCMcb47ne/e5Fmnsk+aCo27HuZF9jO6Ucc\nw6ZGZIp/7JdGbeCYSXk4Bxhd2FR3WOc2D9o51oHFvLCYVKYiaKpiFn+C59hOpsaZZ1q8r+eOh4eH\nU90ZRTF1M6OWpY/yXP5r8yjp3HxOjo3+RaVKjl1T6DI6c/LGfsfxkfKb4tWsrZM3o7CxD5pSK5E1\nx9YujglTzGLeUgc25+ytGWM8pQFlPLMdOMYtzlLmCFKDcj/zw7rK/G2UfqN63QMeHh5O9ZK+a2sN\n+zvXi1xfxZhM2qZOOIa/Q6VdOb7YNhbHzp69jd/D/Ixx7hfsP9v5Z3s984jF6mOfyhjjWKNqcvLG\nPmlrsKlVsv7MTcXmHaMaEpmPVkp0vNfiDab++GyjtVt7pu2ufXesZakoiqIoiqIoikJws2Vpu2PD\nL95Z7JDAvtBzzqKkz4QO7OvWvtDta930801sgDsTtpO00sK3XSyLqWRf4xbDaQyPa2QO7Kxfc3TN\ns7mLEyd/c4Tjf1mG1C93+s2JdhVbY7t7vYVZ37Z95J4sS9zxNouQWRMJs5xsLVVjnPs4d2psF8h2\ndmexSJIn2+1jG9nYYztb7KDsms2EUpJP3pM+apa3mRO5jV2zPPDZ1v8yfmgVz67gTLzGBFkC7oba\n3GaO8szv3pzD67Z7e20siueEh4eHi3hFrGOzFrIe0l8tJpbFAmG9sl0sPljmehMfYlq29jCdmThF\nYDvksYCxj7Hclmb6LS1Ytpaa4JOJRdlcMca5LZhOjm1NWcU3sveOVXxHvueYxdXYALzHRFzynHu1\nLI1xbp/0L5bVYnsZTIBlJWxjMX/YrjbWjFVj1k4Tl+DzrD3N8su0uQ5mPLEv5f733nvvdC7vYLMY\neknHrHWz9cAEEJJfExiysTTGuX55zzbW0RhPx3TmhJUwWfJoFmI+h+ls18ZrRVVqWSqKoiiKoiiK\nohD0Y6koiqIoiqIoikJws7duzIHmzGb0ODMfWrwcc6Sc6b8bRcWoAWYKfPPNNy+ebRQaM8OO4ZQi\ni4+05yTNY6MJzOiMub6i/6ycX1MGCi9EpILPJk0vVCGjgxltZ4xzuY2GYXRJEyQYw534kk7a+J5o\neI+Pj6e6N4dx6wcchybwYHEq0jdm/Sn3s01T3+wHMzpbkH5g42MmWmA0Mmtri2tE6oP1/1xnXzfq\njc1JHMMrCmDAOkmcD4uxMsaZzsT6zXNMFIB5Mkdcc96dUZP2Yn7cIw3vcDic+pyJW1hMuFk6gYlo\nBOwHpGYajGbHdkl/ZJrJu9FZbP4Y49zXzanc5hQeWzwnrhkZZ6Rpc3yk35KSalRzoyjZnGUxxWb0\nweTXBFk4F6zi0qQOOOekXKQkGlWT5yyW4L1h6xLAsqYejfbIY3vXWIkJWIw96z8W02eGvdhes7nS\n4h8apZ7rTurD1tiIqhAUkWE8wog98J6MB3tHZzlsXba1xqixhKXNsq7iI+Y9ku8wyRvXU47flNHi\nVNm7wR5qWSqKoiiKoiiKohC8tA6sWXdMAtosPtydzT22w8Nn8Ms6u3K2gzZzGMtXJPOWXa6VUyV3\nAe3LOmDatKbkOSx3vo65u5Lystz8Yjbnb9tB43WznpnFJ//jVzmtcDnPr3/bSbHn2A4kz5kUrVme\n2Jdyv8mvPnd8/fXX44svvhhjeD/LWLAdszFc8tscZ/M/9m+TT+XYNMdM3m9O3elbPJf+z10222Uy\nCwvHke3ofuc737m4h32UFtXt88Y490OzLM12Pk3eO2Vk3Wfnj2PLdhJtV3VmHTCn5ZeR+LbxnHNm\nobgHbEUcVpYEsxiZAA1hTtxsH7MUm6AIn7PnnG1zNMFnRzTFnOA5H9taaiEuTJyIY9zk03lPhIaY\nbxO5YBnSN2nJydw1E2Iyhkju4fxi44hrtoUzMKEIzmOpK9vRvieGBPH4+Hiqj6wXxnyYWdbMEpt7\njM1i1j+C13M8Y0Tl2ISFTNTA3o0Js1rZ2B7D15U9qxcttwmXM8aZOfQP//APp3M21oxFMnvP2GK2\n5pjYiq1zXAeTlr0zW4gFjjX2FWPHZOxvRbRWqGWpKIqiKIqiKIpC0I+loiiKoiiKoigKwc1cDaN8\nBOYgbM6xZgJl5GGjyTDNOJEyQrFFQSf9JeZdOoeFEmBmvdCgxvDovysnWaNZsNwxl/J/oRFYvnme\nZsaYLu15zLtFEGed5zjm2i3MnGmCHjTTmhNyrtPkmvyYM98YZ1MtaRbBXlya54qHh4dT+feEVIy2\nM4ZHpjYaqsW2MEod693M46TCZUyRCpdzFo+JDuE83qPvkprEvGdss1/bc8y51Gg/Rv+xuWuMc719\n8sknF+c4plIGc25mmqtxZOISMwpyYFQpo9xxvpvF8roHPD4+nuae1A3XB6PnGA2PcbLMMTkwSkny\nMYZTK5mOUQTZR7eUydk5ji2bX6z/r2I35X4TVzFBJx5zbUocslnMFlvn9xzMrVxjnOtjFTvH0jSR\nAaMkci61MWXUx5WYyD3AKGyBiVONca7nPQEhHs+os0ZRt/fWWaytwN6DV/O0pbcVTGM6LIeJlVnM\nxM6JPMoAACAASURBVJlgUih5fK+NsMpsrCXvJjhmsUln2KPuz+aYpG/zCe9J3jjW+L6Set0Tl6rA\nQ1EURVEURVEUxTfAzZalrTMqvwbNidyijs8cXQP7qrSoxxbFnjtOFu2Zu862450vb1qtTDDBLF3c\nweDOhMnJWmTm7FCaJYt5N4d8E1YY47xLwTQjH8kdA7OYESajm/KY1YOwdjIpR5NDHuNcVyYteY94\n5ZVXTrKfaTfuCNnumu3K2C4d69jqkO2b8WF9Yiazmh1zWoczjnlPnEvNwjjGua0tv7Nd8vRn7iwl\nb0w742dmPU4+zWl75jicMtKCFSsT8/P2228/+T+fx2PWqTnCm0OwWYlsl3MmSGAWBXNuvhc8Pj5e\nSMuyb2XMzKTxU++0EgU2Zla7x2Z5JWwtNQEUe+ZMojfHq7mVfT1jxRzr2a/Tb2eMixxzrsi6Owth\nYVLAebaJKBAmhc6xZ+OM100sKXMJx3iOZ3LGSZ/1kuNrnc2fM/YYJ7P3GBMvMUufyXPb+4dZm2Yi\nCzaXGizkhM2/JsY1k+824TLrKyaiwP4XpgfXtNQL++bqnTD/ZZ1vRXJYLsLYFDxH8Rf7VkjeTADN\nJNH5X2Nv3Ir7H5lFURRFURRFURQvgX4sFUVRFEVRFEVRCG6i4b148eIkTBBTl5nijQ7C6zS9mUiA\nabCbcyw15c0MaRHv6Xie/9JsGrO6ObEyvzQFmhMeqQNmGs51PiemRJpFWYaYUM2svIqxQnpE6pXU\nJNPcZ/1amqbDb/WyiiVlDoJs+7SJURnuMS7Fw8PDqe4tFtKe0+IYTuvJdaN+mIgIr1v7mLP5GB67\nLMfs6zGfWwyzMdyRPuVmOrw/FJ5VnJmVKEicZUlZSN+b9Vuj+2U8x2l9jHN/ZXR1i0hu8UZmc1tg\nzrlG2WX9sC4zD5qAjNGfnjuOx+NF/CijtVnMlTF8fNh8bNQqiw9ncbRmMU4sTaP0rChERn+yczYH\nmPCC0XNsbR/j3M/4nMwfpNWQGpRykGKUNI3eZOsR82TURo4Po0aa8z/rN/klzXcl0GN97d6Qukrb\n2ppl9Dges99n7Jogx0pkwfJlgj5M39YLo0bPKK/Jk72zzJ5tNNqsp/ZOxrrgs9NnuaYl1l+EHsZ4\nulbtiZeYsAXzSKRtuc6ZIIUJTXDs25yZ63zf5v9MvGMrwHLtmlbLUlEURVEURVEUhaAfS0VRFEVR\nFEVRFIKbaHiM/xKzFlVgTCmDZtXcQ6pDzvF/MfsZ5WGMpxSfwEz+FguG5rhQZmh6/Pjjj59c2+bt\n2vhSLGNMhKb2RRNgTIo8Z6ZHUzmbUR326GpsO6PUmTod69SoQETM7MyvUaBSFzO1qNCrSL1Imntx\nv54rDofDqT2jEHMLrcDa2ihDaUu2j9FxjHI3iwWW+cHih3344Yencz/72c+m+eF5U74jTYww5cf0\nLT4n+bG4NvwvKQBG9bFxalQg0hxWcTes7SwGi1EnTeVsRT0yOoXV35audg84HA4Xa43F65ipuRk1\naG/MzFSY8sxZjJTgWhUto+eyTTmmcsz+ZJQoUrL3YsysVPXs2RxnOcfyW9xFo4oSKzUuUwzdrilj\nuMIen5e2ZRlsnrL8mGqatfs94HA4XCg4UnE49ci2tvaa0b8Do4uaOto2b3vnku/VO8uemijvMfU+\nU0Rlea6N7TWj7YYSarRUuqawzi0eVo6Nvk3YXGbvk6Y6OMb5XZnvqPYuawqEqzVqS6m/lvpay1JR\nFEVRFEVRFIXgJssSdwfytcjdkxxb7IIx3EHbonzbF+0qfo+d47Ht8manm+dSBhOuYN64U2eOdkQc\nGvmVbDryFi+Fjq6xrDBvr7/++kU6Fu2ZX97ZZUgcmDHOdTX7KjdHw4AWAasrixhP2G6Pxc/hvcnv\nvTue2w6WldXan/WaejLhkpnAQ+5fRbm3nXfOCx999NEYY4z33nvvdC7WVsY9W4l15Dr7oO1uc5xZ\nvBXrMzzOrhYt2LbrbGmagy3nl6Q921FL+hbzg2OL12PNI8zpNs+ZCTyYkMrWonRP4+xwOJzq1MQt\nzBHdWA28bs77qeMZU2LPajnr69v/MU22r1l8zDJrFhbO6+xjNi+YNcrWOLMG2Jxk+WH65ujP+jVB\nFssvYXmzHWvLL+vUxojNG2aVuGeBh9SvrRF5F2E/pRiBMYMs1ufe+BvDxcOMGWSCAGZl5DlbV2z+\ntTE7e2fe1hn/a3XB/3H85p0vQl5jnN8n2TdZ53sxUNlPbTzYWLJxMWNRWXypPNOElWbvv4btfFGB\nh6IoiqIoiqIoim+AfiwVRVEURVEURVEIbqLhPT4+nkxlMYXRZGjmQXPuN7MXTXkxvZnD9xgeO8JE\nIcwRk6a+0CzoaJj8zsyRofhQrME04c3MzzImHdZF6o+a8e+///7pOOdJm4p2PelMzG/qgO2UdjDn\neZ4jnSnHof0x7zMTcpyCSeFIO1j8gZljZM6zP+SZVo/PHcfj8SImjsUbmFFFzdnTTNjmHLkSeLD/\nEcknRVNyTDqajY8VBcXiBJnjK5F+Yf2N44x5MwGIzAccZxYThOeSjtGeQk0cw0UYjOY7i6uV5/Dc\nHk1kFqfKKLvbsXlP44w0PIsfknq1uDpjOCV1L94QYTRWo8qxrWbtv4VRmDmXGx1wFQ/GKNBchzLX\ns/8bNcjih60oiUSuc8zs0f1YBhNcMEqUUcnH2KdE25o7i1Nl9WuuB/cEihaZeE/GGNcNc9cw4QCL\nz2d1e00eA6N1rVwmjP5OmIiWCTiYuATfofbiLPEc16qA77p5h+W4oJCLpZm65vxjAhgrtwD7H7FH\n+7ZzzKO57/A5LyuiUstSURRFURRFURSF4CbL0tdff31yFMvXre3yzpy/9pwcufNlEqizSL/bZ/ML\n0ixP/LKOZYlf1tmZYL5NZIHn8pyZZHq+8GkZCfiVnN1t7jr/+Mc/Ph1H1pyItPTbb799Okcn5HxF\n0yKUumR7ZJfHZN2ZplmJzLF2jHPfMCd7i8rOdjU5WZMqv8eduOPxeOGIatYfjgnbFTPHV3P+nkX9\n3nOeNBGRMVwW1qTf029nsq75byTGx3ABmaQzxnlXbLWrmL71t3/7t6dz//RP/3TxbOYn/f6NN944\nnUsE9DHGeOedd57kYYxzvXB85JjiKhY2gc/OrirnF9abhWzYi2RvEuP8rwkN3OM4IyzMgZXZZHRn\nkesDEwe51lo7E1LJf21OtLRnYkn5rwlJsB+Y1dfWO7MScX3l+pH1kOeyBhqzgMc8Z2u/WfjMYmQW\nqpn4iomm7O18W9pjnOvfJMrvVeCBokWZz0wYxaS2xzi/H/IdysQczAq0Gg+5znY3xg/zm7ZlG8dS\nw3tnLKu9vFmYHL6/heVg71pkS3Ctyjso16xY8Yy1MobPRxaSYs9iNsZ+uWfiaLZWmYDGaszaHL61\nCq6EpU55vupfRVEURVEURVEUv2Hox1JRFEVRFEVRFIXgJhoeTakxi1r8npkpOSYzmtFiAjOzHU2C\nRg2hWdQc03h/8vvBBx+czlGkYZs2HQ1JiwuliA7hRhvkcSIkMzp1zJgst9HwSPdL/a4iUpPWkGfa\ns1eUOqOkkFIRc7pRL8Y49w3Sr4y6sqJ2JX2jWN5rnKWtKIDFTJqZjy0WgsUPs7Rp9ja6ZtK0mAhj\nnE36pM8ltoNF/Wb/5pgLLY5jIXljGSjE8u67744xntIPQmNg/widlc8zB3aWO3XBcpNKl7y99dZb\nF/mhU7uJS5CCbCIu5tTOOkieTDTD6FdsrxWFbEt1uadxRtialX4wE1LJPeZgzvZbUeVsLbB4MGzL\n5I2Ua6MlZdxzPjGBBxOpMJoUj1luo/PlOVxnmWbEicx5nfFgOObsOTlnMeJ4L2HvHUYnMsqPrUMr\nWtdeHpiOxay5Bzw+Pl7EomP50wdWaxrHlb1/GD3O6KsrISM7Npqzza8mAjMrm7korGIU2VxsAhmc\nd7JOcqx997vfHWM8HUtcj9NeHFfWt00YhUi9se1szBJ78TiN2sj8mHAZ63nbDo2zVBRFURRFURRF\n8Q1wk2WJ8o/5YuNX9LW7j3sCDbzO3TB+LeYL1qJ4E9xVitWGFqGUgbvT+RqnBcqsUXSK2+Zri/yX\nTu/ZVePOYL7qudPML+Y4s/Nr3HZk+FWeOqJjZJz9TOaYOwus37QFdwlT5zOLWtrRdvxsx5T5Zh0Y\ncn/ydW8O6NvdJYtaTdiOLvuj7bjZbiZ3f2zHzWT7OU5jRaQ1Mf0/fZ7PoXXmpz/96ek445R9x3Zq\n2U8yTjnu49DKOSl5Y1/lODSZdXPSN6ln7tzFKZdlSNqsH5PLZZ2uHJT3JNNN5GbmoG6CLOZ4fS+g\nkIpZCAITGBjjXO+cW01C29YFtqkJeKRdZiwC22k3ifrcM5MmNqt9YNb9WXnMgpV7TGSEeWMZUpes\nU2Mh8Jz1fxNdMkuYWa1MIprHFuLC+gXH/cqCm3TM0nAv2JOFT/2YiMIY5/7AvmKiLLk+G39m3bH8\n2P9MkMPEcoyRMIYL6KTcJrw0xnl9M8uJjSv2XbI7kg7Xp6zHfP/l+3HWbXufXM0HJtRhkugzIQiT\n/rd7rhX92lu/alkqiqIoiqIoiqL4BujHUlEURVEURVEUheBmgYdtXCSazkxkgeZ0M8dZBGMzV/Ie\nM7XGNDnTjA89wKKg0wxpuu9m8qdggt1Lc+ieyZYO7DGBmvPvGGezKes512fRkxP/JSITzDtj1CSP\nH3744ekcndBTf6QPpQw0jbOMe+ZNM4ta7JgxnP7AvN0jtnGRzNHYaDk8NrqIOUYTZtpfRSk32gDb\nJ/lhLLCMPcYRM8EV6//mwD7Gua7YhzOmzBnWYsSNce7PRg/inMPrEXP44z/+49O5zCtGU2D98NkW\nVT3tNGtvc3rfi0Eyi7mzF2l9j0LznJHypC0t9pxRQXhszuBWrxb3jHmw9W7m8J7/sp+kT3ENzHic\nUeoCzr2Z42cxEo2eY3N06pR9ncfJkwkN8RzLk/La+mGUOqMVM58Wc2pG29qL4WP5maVj7zfbZ9wz\njPpprhesH7tnj47OcbqisOfZM0EOm0szNkgDz7Nn761Jn/N0+qy5N4xx7kOsFxNeSnltrIxxXrdM\n/GhG0c36aLRUo9lZjEbew+scl9s8bvOxPTebR4PVmrcdY6XhFUVRFEVRFEVRfAP0Y6koiqIoiqIo\nikJwEw3v4eHhZD6LSc2oH6Ygw3tWZi9TuKBJ21RQTNnLVHSMNkg6WsyYfB5pb0mT1L2UcVYuU8LJ\nucROGuNcP1HRGuNpXeQ5NGHGlErzKqmP0dLn9dSBUbfsf2OcTZ+sX6NVEjExr9rBaEqmkmJUw9SF\nmdefKw6Hw0V9W/wro8HweKWaZzFWVibs7bVtPixOSBTpOGaCKDOO8VSJJ2Oc6khpa57j83LMMWVK\ni6k/Un04ZizOTPLO/LI8obamrMyvKRmZ0iTzy3IZDY/YoyxY25qCKc+b+pHRy547jsfjqZ7T/mwX\no8cZ/YRUHIslaHFITMnV6JGWDq+T2pL5lvlJ3+Lz2NeNwmnUPYvxRMpP1khT5zOVvjHO44/jiOuP\nwSi0No9Z7EOjEtqYYhmMSjejvG/P2bsP77e2u2ds349W8YRWSstGfbR3BWKP5rhS/DT6N+lz9u7I\nPmDKiUmH44/rTt7v+B5oqo22RvDZSZNrY1wzZvQ5e2816nEwo+2m3mYqrHYu+V29160UuG3N29Il\nS8MriqIoiqIoiqL4BnhpgYfsvvBrPLsjM+30bYymMTyugH1VWlwXcyLjFyR32PLVzy9ei+mQvHEH\n+U/+5E8u0rG4NvZlzHyy3PnCp/BCdg/4bObNxDCy8xAH8zGeWsJiNeM95qCb67zXtP9tZ3UmGrDn\nuGzO6rNda7NwbJ1x72nH+3A4XFiPuPNouzurCN+222n1yva12B+2g2URs7lbHOsmnx1H77feeuui\nXGOcx8cqxhCtQ7mfu9OZK6wvcweZMaBybDEpeM4sUxYXykRj2F+5a5jx+umnn57OrdrJrBAWH2m1\ng7YXa+iexldAy5JZAa3diD2r72wtCMwKYmvKzMqR/mzj1ZzFGUfMYuFxbcq6OdtpT3+1dZxp5zot\nUCZsQiZFRGC47hEpD5+ddIwJwWevBG/yX743cD00BonNq6sYPbmfecvxqs89VxyPx4u247xnbAkT\nQmA9mgiKrVnsK9aGe8IdTN/WOVpNk8eZNTPHXMszVq0/j3FmLHB9sjJYn2J+Ux9kUf3gBz8YYzxl\nQ9h6wTIa48PWaBNGWcU04/HemL42VhbP7439WpaKoiiKoiiKoii+AfqxVBRFURRFURRFIbjZ5hsT\nlpnjaL4OLO6CUbnMyXmmux6zmTlNWjpjOE0mZj3SFnKOMWFI64kpkSbFxKVgHmnuzHk614VqZyIV\nRv8Z40xtYhlSRtIWzIHXBADM0ZBlIO0jbWG0BZp++WyjpJhzq9EfrO3MRLwXs+I5Y2vatrIb5YvH\n5iBrtADCTPtGwzPKEPNE+krOmRgD+z/pp7nHKBYzAZn0V/Yj6x9Gw2O/zXmj3PF/5shr4ghGATCH\neR5zfjHarDnfGli/1gcs/oTFnrlHkFZu4kMr6qH1x+28xHOzujRKWPLDvmFxA42GR6QMpL+ZKBOv\nR2iFfYM0vpznvJ81lGMq5bX4gswv00ncQT6PxxYLZyU0FJigkYlYzOY2o/RYbCZb44yyyHKbO8I9\n4Xg8qoBMkHnK4vzweNUeabtVzCQ7Z3Mlj+3d0kQ82K4mmMD3zc8++2yM8XT88b3X4lumrxlFzfLN\nPJnA0ywm1basY7iAUzAT7cox287GiK1FRnklrC/ZOslyb+mgpeEVRVEURVEURVF8A9xsWdrKoJrT\nFr/i+DVujml7znP8ijVHV4uozC9V7kjla90sVHyOOeOuHDHjhMedaHu2OZuyXNlxmJUh/7XdO9vZ\n4jNt58p2vux5Y5zbkddzP+uPX/XWTuasbs6JM+vBNp2V3OdzxPF4PNVt6tDqfSWIwfZNHZvz6czJ\ncm+XfBYRO21lcvvmaEvw2SbckWfPhBlsB9AERUy+nsh4pXWY5dmWi2myjHvnzJo0xrkOLJyBWa14\nbHW1shTazp31qz3J3XtA2tJkrk2Cl+dXO55Jm/eatdZ2XmeWI5PQNmttnklrKyX6819bA2c7zuaM\nb+JEJtRka4HJc/N5tt6txBpsbjPWhFkyZuPDrNQ2R27TG+Np/aaP2S79PVuYtvPPTOZ6D9buNl/N\nRKcM6QuzOS5pmby7iVRwrK2EJDJeuL6sLD25n+8Eud/G0hhuiTYWw2pdtjXNGAs2Z9q4WlkSbfxa\niAXCxqeJhVjIhj3UslQURVEURVEURSHox1JRFEVRFEVRFIXgZhre1uxsdIKZSdXMpmaqN+flVawe\nM5HPTPDBnvltZg63e2ICJQ2PlIuYak38gGbcmGRJk6Djnzm95dkzKlXKQadCi4+UNM2sPIZHkk47\nU7iC9RZztFEZLM4SwT6U8pgz7j3GpXh8fDy1V+qGdRRnz5nDvznqmwPt9v9juAnbxpnFLRrDaazs\nw9v8WNynbfpB/stxRCqCzSXpr0w7/Yj1Z1Q5o9GwfCaEwHSMKpW0OVdwTKWdScPLfMB6NGqEzXcz\n5/rA5mqjg90rtvXEsqduWEd7Igq8bm2+Wo8sNpOJ8Ixx7lu8J2PKxBhMPGKMM8WNdNbcb+JDhNHw\nLB3S6JjmntO+xVDkPbxu8a4CWzPGOK+bzJvNH0b5MeqQiT4QJjBjFMt7Hm9bGp6JXlisHYJ1b3Fy\nVvVn1FnrNyZqYP/jWGPft/zm2ZzbV2MksPdsPjvvjjMxlMwdJvAwo8KZO0xwyzuBiavZOLe1lW1r\nfWQ11mwt377/VuChKIqiKIqiKIriG+Dmbfmt46k5Vc4c1PIFZ3K/9jU9c1azr0XbmeF1ky/M17Z9\nnfJLnzu/2RG2e0wIYgwvW9K0yN/8kqdkpFncbGeCzoLmkJd64a5brtM50eRbTWiAliXm16Qpg1ui\noOc53FlPO6Ye7006fDtW2KbpW+ZkOca5vm0n26whM6EIkyA3qwyfY+PDZJnNwdPEJ2yXiOOAfSLj\n2XbUmJ9Y7Xgvx6vdY07vnBeyW2jiNiZbynMcuzaHJmSA9X/C+sBKPt7Goe1i2v/vAdvyrKTqZ//d\npmdyxuxjRNrK2AjEyjJoa1Lma7Na8dnmLE7rJ9diE0LIdeY7O8omdjSGj2fro9bvaV3OmsX/2Rq3\nEpfI8cyqZeISFoYg6azYKTaW7lmqf2vFpaU07WliHmPsC0MZc4UwFou9l5oVg8cmSGGhLzi+zHrI\nPpcxRmsT6yDPsTHC/2WNoHWLzzGZbBNcY5vkmKykjDFjH3CsWRltnVuFAVm9MxjLzMQcZhLlt+B+\nR2ZRFEVRFEVRFMU3QD+WiqIoiqIoiqIoBDfR8I7H48nEFdOaOefT5EXTeO6hGS1mslUMBDOvWuwC\nmgJp/k9a5mRGsx1NjgFN/uY4HXrFjGaRcq+eY9QL1l/oBjQjxrRJczDpE+bQaLE1Un9mhmU6fE7u\nnznR5r/sI2lHiyg/c/az+F1bZ9F7ogcdDgelhARW70ZZZVvtxUeYxUExB2xziuRzcmx0NBNpsfmD\n/2U/Sd5n8RyM3rJH6zFRhxmMgkOE/mBxyuzZ5qzP/1r/n1GMjXK3F2mdYF0ZpXXrjH5vDujbOH9G\nmWQfZV+3GDvmNG00FYtDYuOV/cQESYzGapQ7loFUnT0xpZlYkq0FJtiyR82z5xFMx6jfJi5hVNsZ\nFc7iBlrbzY63sH5hYi9juDiRxfC5N2yp1ddS3cbwWGTWHubKYMID7JN79MrtM7dgHvPeZVTTMXxc\nmfCSUdOMOr2KTWW09hWVMHS+MVwc7NNPPx1jPF2X03dZ53TnMOpj5oGZoEf+a33EXAlmbWf9ao8G\nu4daloqiKIqiKIqiKAT9WCqKoiiKoiiKohDcRMN7fHw8mdfeeOONMcZTylfMX7O4O0a3MlqHUQcs\nFsM2b7x3exyY6ZZpJ7+k1NGkaKosRgHkcRTieM8vfvGLi/8ZTdGoF0ZHownTlPxMEWalvsS8xfxq\nlCy2J2kNpnRo1BUrg5V7Rtm6N5DumjZiHzRlG6NOsb6MzmfnjMplVBaLPzLG2XxO+tBWQZP/Y75t\n/GScsFwvQxucmemvRcbHbGyGqsAxZQpFuWdGw0t5OK9aXI0Z5XcL6yMz9SiLB2Q0xnvB8Xi8iPli\ncyL7vynJEUnHKERGzWP67BNGs7NxZm3JfOXZRpkb49z32J+MsmtKpUaBZV0ZBZwIFcfqkWlHZYxp\nGQXZ+ijnTZsrrIxG2WE+TQnU5peZEl/ya+8Qe5Sv54zD4XBBrbL2mMX825t/VtQ8wmKn2bPt/cTo\nX/xf+gffvwhTkVy9j+b6SuXPYncx7eRppULM98D8dxUHk2Ms4FyW91+jM1ud8ry9m9s8OIsNaHOQ\njfNrUMtSURRFURRFURSF4OY4S/natJ2QfPHxy9riMK0c2CwmjB2bgxu/XnnddpjzRUwHNrNa8brF\nl0pdWNo8z/xYdOQ8x6Isj3H+Gmd+cr855jEtc3rjjvdrr712ca8JcZiFyhwJed7ayax+rHtzEGS/\n2u5+3pPAw5dffjnef//9McYYf/RHf3Rx3XaLbYdqtcOS45mlxiwR2/TGeDrmzHk3Y8YsS+yXbPPs\nRnGHynaWmKY5Se9Zx4hVHIbUtVlJmSfWRcrAnXETe7HnmNgJneNNnOKWHbft/5inlTP/PWLPas22\nYh2axYT9NdjbHWb6tlZaVPsxbo/RM9s1D9i30uYzy7Stz8YOMNj8YrvZs7yZFSlWMT7bhCQsfphZ\nf3iv1RvPWRyr7TOY7zHced2sTfeGbb+xucksk7yHsPUpY+iW2IE2Zu2eay1ds3G6t47OyrpXbntP\n5LpgIii2ftk7Aa+z7yYGm1lXVzHCONYyZs1yxPza+GNd2Zi0erZ5Kfdey5qoZakoiqIoiqIoikLQ\nj6WiKIqiKIqiKArBTdyKw+Fw4ehME6ZRS4wqRDOaxSIxMxqvJw+kKMTER1PfKo7Kz3/+8zHGU/pP\n8jMzhyd9ilik3HSSJVUu95hJ1hxIZ5SyPIca9+ZQT+fwUO0s7oBR81jPrN+kQyqcUVdW4h0pI53V\nzTmRdWkUKjNf3wtevHgxXn311dPxGE/79YqGt2fuN5Oz0VN4jwlvGC2H+WSads7iNbFf55hj0/o/\nx5lRMMyp9lrYOJvF3MmY49hLPj777LPTuYwf/o9jwZyJre04NjO2TXTD6mLWdgajPtwLHh4eTvVo\nY8oEL4hrqb+rWHBpgxWNxag6K4dtmz+4Vpj4hM2tRrvls02Ex9YzrjlW53sO+LzfBG9WFHBbX8yR\nn+1glDxbx218zIQitnkcw2lHv0kwqraJJ9g6x/bYoyTb83jPjI62J65g7zsvs9bYO/EYPs73YqOZ\nuNEYa8GYwPrf6r3V3G9MoMveCWZiQ8HK1cDybVRpS8feefdQy1JRFEVRFEVRFIXgZsvS3g6jiT7w\na9N2mmxXbSVpbF+/Jsm7StN2iy0dfqHHGvX555+fztkuuO142w6ISX7PnNZpHdrew6/2Tz755OJ/\n/HpOeblrZpYj7ngnHyY4YbuxK1g6M4EMk9ZN3rIzfE/SxofD4cIh0eTiVw6wtou72p02UQgb8zOR\nBbNapt+yL5tl2izBvP7hhx+OMc4y9tvrtqtocuIGc2w1+eeZdWDbH3mPtc3rr79+On777bdPx1vJ\neB5bSADm00Q1bN6b7Xzu7cDm956EVI7H48UO8UoIYbX7uecMPtv1DeI8zf+yf3O+Tp8wy8jMSd6w\nJ6a0skCadD7HsIk+sF5WO/6BtQnLuCf8YowUnl/1Z9tBt91wW5tn4Qr2LAO/CZalPSvcylF/ZX01\n65/J9BN7gmG8btL/q3OWD7PYzqT9t1aQMXyusrpiP7NwMTam7Z2ZfTtr+GzdDiwUzZ5YxRjXnT1P\nhgAAIABJREFUW2LNmmcMLZ7nPSnDqi9tUctSURRFURRFURSFoB9LRVEURVEURVEUgptoeF9//fUp\ndog5UJqZzUyOK7OoxVKg2S/nSVswrXejxBhNgObKUOpIGaKjd+h3qQf+l/fw2CJEG3UgZTTz6Rhn\nGo7Rq2ZxlszxNs+kiELoBN/5zndO55jf1AGFLULdI12PMPN20lnFALK4FDTZpn4tXtNzx+Pj46me\n2McDowWYadqcZY1uNqMwWh8187g5blrMI6O2chxxbOb4pz/96elc+t5MkCJgPzHTfcpjfZDHRhU1\nJ3Ket7FnMSnMMX+Mc70wBprRBjjmkg+j+twiIGMUqFUfuRfYPJl6J6XE1itz1Le6nNHabP7bi1fG\n/HLMJB8sQ455zug7LGPmHJ6z+C3Wr+19wKhsY5znbs5xRslmHeQei8lH6juPA4qqJB3OUzZXGJ3S\naL6sH1uvjJJntEy+a9wbtpSolRiUrW+r9cvmKaPFreKlra7vza8zmNjAHlV7DB9rK0GKvXPEnugT\nzxutje+O6bPmUjKGv6Pl3LWxtLbHe7A1mnPIVgzj2nRrWSqKoiiKoiiKohDcZFk6Ho8XuyIm4GA7\nsmP47mt2gPgVbNLgvG4O/yZxa/dQ/CA71bSWJD/MIx3KY1ni12vqgA649lXP3b18zbKMyTt3l+gI\n/uabb44xnpY79fuHf/iHp3O0MiWffPYvfvGLMcYY77333ulcdgp4L3cWTZbZpFbNgmW7c+a0y90T\nq1+TOk9d3Jvj+VZuc7UbNev3wd6O28wh9VrZaLZLdmq585SdX/4vYyqiDWM87dd2T8A+du3umvVB\nc8xn+tzxjsX1e9/73uncu+++ezrOWIkAzBhj/OxnPxtjPJ1f0p60DLHcsbRxDvj2t7+9W1abdy2i\nu+3OWv2aGMxqF/JeYFLTrCNzXLb7zapgc+MYznrIda4P7K/5L/tO8mZWF1tn+GwTYaDVxWScLU2m\nYyIUnBdi6THrDtdfWp+Tpr1X8H9Z42bWd7OyWhlWlgNz6g9MfIPPWVnp7wkUU5ldH2NeZ2ZN2VvT\nbL4nZu8aBpMEN/GSYDbWTDjFLL8r69je+j57DzCL2uqdyRgLuYfzTtY3Po/vkWbxtjXL3glXjBC7\nlzBxna3gVC1LRVEURVEURVEU3wD9WCqKoiiKoiiKohDcRMN7fHw8mdF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pAAAg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vt81DZZ5E8+zxHnMeGzd5X7yHtAnPvcvF9bJDW0s9Wu67VZ97bKCetM0qYILl6su+lVcvfc36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+s2O7j4Vr2J7F/5sAwayOe/uJtWX2/mt7555QBP/P918LQ7G93Ma2rW8WCsN6\n8P13FSJj52zfTt2++tWvPqr/CvUsFUVRFEVRFEVRCK72LMXqYl9j5i2hxfbnP//52TkLCA/4lWv3\nM3nH2fWpE786v/jii0d1GGOdQdsEE2KdpDfppz/96fE47f3a1752PJd60AtkkoYsx76Sg5m4ROrE\nL3jzDqT/Ka1uUugmPc1zrEfqzueUvqKVb0+OnTDBj5ll4lZgHguzQnIcpW95zjyiZllaiTmYh5Zz\nM3XLXB/jNB5NLptrAdeA3/3d3x1juFWf6wvH0U9+8pOz9mQ8sy9SN7aB9TVp9swjs3Sxnmb9p1hH\n+sA809s6Bel/Cyxnnaw+vMbKMeGXVSDzreDu7u5MPMbmggnqjHEar7ZOsg+z5s0suCbCYEHcZs01\nK7aNrZnF3vZsEzIwkYuVFTqYeWONkWGWdGOvEHvB4paug+e5fuR5xuK8LTPHK5EPm49E/s+6WSD6\nLYHpMC71pBImGW9zZPUeaN4J29NWXplg9Z5ix1bHmbfE9uA9QZnZvV/Em2eCSnbvzCt7l2WZHNsR\nK+I7MZkRl4pC2BzjOb6Tb+uW9e3Sva2epaIoiqIoiqIoCkE/loqiKIqiKIqiKARX51nauqzMRU7X\nF+ktJp5g1BqjZdGNaEHScRXOaFmh3K2CTi1IjwGfaS/parknKS3MiZLjlfvVqDNGe2OfGpWK1L1c\nY21cae7z/2kj+9foBKxv2m3Br7wm/UL6g1FS6KZNeyyQ/RawdXdz7OQZ0K3N4zx/e5Yrytcq35DR\nsuz/ltfAqA28H8dtnj/nmVFBQ73jMel8OeZ4yvrENnDufv7552dtMBrvBx98cDz++OOPxxhjfOMb\n3ziey1hnfYzaZc8pNERilocs/WbCLhacu8pbY3SxW5tfW9gY3f5vjMf9uV2DxtjPKD/LYWd0kD2h\nD55fCS8EM6p01lQTJZjRPvcEd4ySyPsZldDKnsHWAOu/3HPWhswFoyBxDnPPyTHfB3LO8jGt8gSx\nbtkrubffGox+F2xzMI3xYuuQUfOM8mq09lW+tEvXwBmt9FIxKluf7V3Y+nFGw1vVbXs//p9UeXtO\nlmNw9n4QZB3lXOP7n801W6OMjmwUS7Y1++i77747xliH3gT1LBVFURRFURRFUQi+tGfJgibN6sNj\nywxuwf0mBMFr+H+TFLWvTRNCsCBnWpRo3d6z/M6sWKkvv5LzZW0WRmsXy6E1Pb+lJ+uzzz47u2Yl\ntWrBfLTXxT37AAAgAElEQVSIx+Jg52aSkeYBzDW0YCTIzwQnxnj8fLb1XcmfP0Xc3d2dtc+k4dl2\neh1inTRLtAX885mbeIIJB5jU/xinsWWB1XZvjgM+84xhzjOzRJuQxEr+3Cxm9GrZ/zPn2KfvvPPO\n8Th99cknn5y1kUg9KPpgz8k85Ct5eNY3ZbL/cmzeujHcCnerntsxHgs87Hn8uP5cKjTEfk/ZXP9t\n7TXP0yq4mmNiz+I8s9hnbppQBOfjTEZ82x6ziq+keW0sz+Tt7R0inmKO/+yHs2eXNpoQB8uh5fvr\nX//6GMNTiVgbZ7LuxpxJu25V4GEF89yb7D2fe/rRPPcrwQjDbJxmvrA+JqFtaTNM3IRtzFhaeWLM\nY7S3v8zasFrHLZUE65P9lu+b2evt2jE8FVCOuX5x7Oed0JguK7lw2zt5LswREyDbQz1LRVEURVEU\nRVEUgn4sFUVRFEVRFEVRCK6m4V2SqT5iCmM8psnETUfXeNxjprE+c0nHLciyV8Fq5lI0AQIL2KQr\nMPQZo9GQekS3X8pku811mfbSxWmZkNm/oSCwL+Jm5DUm8EBXqQXcWcCsUU5M9IF1MgqHBfNRGMTy\nAZmbN/e7NZrQlirJ9qWfLA8QYdQzPr+MiVlQcegopKXszX/+n3Mhx5a3ZUb7NMqLUQAt+N5oO3aO\nfWqCLKxvaHj8nfU5+8qov6HAsT7f/OY3j8eZu0Y3McousRJ+2Zv3Y3gA8paCcmvzLMh6Y8/PaONj\nOJXE6HyhlBj9jbBcRtwXjaq+ylVj89TaYDSfmRDI3hiwwG+C99mjwbPefCaZHxzrOTYBFPYZ15fM\nQ+5DoUlyfeGzzb5rz8n6xyhEY5yeKemwqfst5w3cUq+NLj3LAWcCD+lTvovlHkbN4/8Jo4kZLHfQ\nKveSvXetxorBxC5szs7aavu/CYpxT7P30Zzj7/KcZrminj17NsYY47XXXjueyzif5da0tcEoizk3\nyxWVcfDKK6+c1TfzcCW4cSz3ol8VRVEURVEURVH8hqEfS0VRFEVRFEVRFIKraXhxle3lW5nR40xR\nzX4XNxnpAuaepovT/k+3fFyJVIqjez9I3egeZBtTJsu2e9O1F1c/3e65j7k9SaOjSlfqa3QDlmP0\nIF4TF6epA/FaoyLSVZ3nxN+x3RkPfI45NmUZ3pv0CFN5Stnmhr0lmBqZqRBaXirLg2K5s1g2XfJG\nt8l9SA+iqzz5hozWRjd7xr/lRJrVN/fhGOSYePXVV8/qk3HPdmV9IlWQ8yN0G1PLm1EWjbKVMllH\nUzI02izbmN9STc1oXFwrck/eJ+3hOkR6guWkMrrXreBwOJytUUb9MZU1wlRbuZbl/0Y95jUc/9kP\nWZ9L10TC6Df2fGd5Srb3I2zvN7rQrI6mOmm0ctLOQ4c1GqpRtGb0pqx9ofuOcaKgc34YzdEogtfk\nWTJF3dzbVHZvAXd3d2f7kr3zmXoyj+29gfMia26or9v/Z101pUJTRuR5U+Ul7N3G3ktsTM4obNuy\nx9gPOZmVY+tb5hjVlbkXZd6tFHRtr+YcCk0ydLwxTvsO9zRTIrV3HKNLsl22N/Idffvucenedns7\nYFEURVEURVEUxa8BV3uW7MsysEzlprdOi26+CGldsi9481Dxi9eCbT/99NPjcTxKPGeW83zpUuiA\nyFcrrbj5oma7LT+G5Z4xKxWt3OyXXG8WZP7O8jSZWIPlyLKvcrbNrDj2uzHc2rgnNGAeMd7T8pDc\nosV7jPM8UpwTGU8zARQLMs+YMKuWjY0xTtY1swDyWbz//vvH4w8//HCM8dgCn/FKa50Jj5hlaZVf\ngpapgOPI+i91o0WNSL/GS0bw3qtcUjlnAgEmmsHyLfCVz5vXmLcjsOfNe5s3b+WlvEVYHhLzAloQ\nMsdB+ts8jOxrrqOWhyn/N5GWMU6WWxNGsjlDmHWZbbA9w8Br9jxUs7FjOdmyVjBfGcd9ypx5pINY\nkmnh5p4cjxI9q7GAm1eBxyaKYt469r0JTbDeefa2nt0azAtvDArzhlr+LWPa0DPJPjUxhzwH8/SN\ncRpDq/ePlThJ5p2NHxOPIGx82X45E3iwPST7H/dB7iUp3/KD2vvtbH3LMc+lT23/YXtn7JntOfN+\nsZ6c03nOtsbu4TbfNIuiKIqiKIqiKL4k+rFUFEVRFEVRFEUhuIqGd3d3d0a/s4BYo+3wvNEA6DY1\n978Fk9J9n7LpUrQyzfVreR54P+r45z4sOy5AuiupKR+XLl2Bdu+4SFk222j5JCxIlsdph1Eh6ALd\ny2XE6y1v1iw/QdpmdASjGVkw+hinfrU8VUY5uwVsaQdGT+A4sOBmnkvgJt3Vef6z/D0ph+dsjFI0\nZY/KNaNYbH/H6432xLHDQN5cb3Q1lp12s12ktlp+CXsOFmRu7WH/Wm6HFf3QqBrsAwtQThtJ+bA2\ncJ7lmXA+36pwyhZGwzN6NakkAWmfto4GM6EIo6Rmz+EazX0oewpzdBm9K+2a5SExWqitHzYOLH8e\nsSdWwnvaHmcUP9bNcibxPjnm+DfKL59d6Dkz2qDlfkl9uLdb7iXLd8a6pQ1cz24Jh8PhLDci10/L\nocdnvJerzGjknF8moMNnk763+cVjnkt9jPZm+xjrafPKxscYp7FoNLxrhFrsPTH7nIlmsCyji1oO\nMRMMI1YiDLxPxoZRGk3gyfb3Mc4pdywzglCrHFfHe130q6IoiqIoiqIoit8wXOVZenh4OH7d2Zdq\nYNl9xzhZXyxDNi0BJjZgXg5aZlIOrQi8d76IaT3IVykt0SbGwPqmvaus4/y6NQlhC9LbtmUMl2Cm\nSIXdj/fJvdkGE1mwIDeTW+Q16VNa1Sy42L70+RzSrllgZKyNtABkbJj89VPH4XA4EzmxzNv07phV\ndZWtO9eb92aMU99yHmZu23yc1TfP3Kz2LNvmFNtlsuW8twlemOS91ZHyxBZcauscYV7UwAJXObd4\nnHoyMH0v6/wYpzaa1L8FjFsqBF5vfW7X3gIyBtJOrvsZWzNJ3KxrHLdbYRYec4xZKgfe26yo9H6a\nlHLqQwu4Wab5DLfW/jFcqMks3xyXJhqUOppoBv9P5D6z/SxrCYPxzaNmFmfC1sP0OeejpS6wclhH\nS2fB8ZD9ziTKfxOkw7dzjuc45tgX6VPba+wZmrdyjFPfG1uC84vHmbcsJ9dwfTVJdMIYUQaT5TaP\nmol/ESbgxTFs76C2L/E5xKO2Eqmw+vLeJrlvLDVjlHFeZQ6ZEAvvbSwRu3YP9SwVRVEURVEURVEI\n+rFUFEVRFEVRFEUhuIqGdzgcju68uBzpFjWKGl1z+a25QOlStAA2uvVSh1UOhFWmZHPrbduyrUfO\nWzAu62PBvHYfuuKT+4E0O7qDzQUdWtQsmNToCDlH121ck0ZvGMPd4BbkaMGLlhOD15jbms/RclLd\nct6X58+fH13+HB+BubWN4mnzh+dyj1ngZcq0PCaWO2uM03g0AQKjWXItMCoLYTQGCroYTSaUPXO1\ns468X+pGOnHqafS3MZyaZLAAYwafZg2wwHSeY1ttTgW8j1EbjCJo9KhLc+88JVCwKG3m/hDMcpdk\nbHHNTH/bmsjfkYaX8UyqSMbeTPSGdPPtvblnpH2WI2aM09gxSt1MFGJvX+XYSRs4jyw3meUgYl/x\nOLQnzpnMi5VwxUxUJdiGGGzrZoIV2QMtNxOfHedr1iyOAaO53yqs72395Dg1yv8etXoWypB5Q0pd\nno3lw+NvOb5SPutj70gmemChCjORAaPh7b2vcpzxOHPQ6sZ3DM61tM2ENojcZxbWYfu2rW/2Tshy\n8p7NfTB1nIk1vfvuu2OMMX74wx+elZN6X7qn1bNUFEVRFEVRFEUh6MdSURRFURRFURSF4EvnWaL7\na6XyEVchXZwpz1yqRsXiMf8fN625/1g35oSJK5Buxlyz0l43ah7LMWrBs2fPjucsj8Ynn3wyxpir\ny5nSi9FGCFMDyzWmbPfKK68czzGHR0BFp7g7WV8ibTP1spm7PTDaFNuQZ3+tK/Up4O7u7oy6ZtTW\nleveaGmE5bwiTL0ysPnIa4xmZGp4hOWn4PpiKo5UI4oKGOfZm2++Oa3vLAeL5XgyKuiKFmqUGlPl\nZH1NJdDqw/mRfjMao+XQshxYY/hz3pZ9a3mX0t9G+7C11SiM7DcbBznH9TR0yzFO84N0tRwbbY2w\nXDUsxxT9bN/kPpQ5PKPVUG0vsHUqY2VGb7L8etvy2Ab+1lS0TK3McjGybtybjOpF2pHRkvbU64zy\nP4bTE03989awt4YY3WyPrsf/81zG9oyuZzkb815luTPHOI0/o2VzHOY+Vp8xTnQ31m1vj2X5FmZh\nNHur4xin9ho93iiirBv3p7zzMVQkNEdbnwi2O/ufKe2NcepD7u+5xtS02W4LgSE1LxTerMGrd+ig\nnqWiKIqiKIqiKArB1QIP28y6lj2ZsC9mfiXny9G+7ngtAzpzveV0oEXbRBp4HwtW4xdqYPmGWLa1\nm3XLFzEti7EyWLto4WAgbzxPvHeeA9ttAapmWaSFMHV7/fXXj+feeOON43Hu+fHHHx/PpZ7sM1om\nYpFhP8eSYDkoZpmvLVO35ba6FZgHl888/W2BottyAvPkZCxbwPcYbikzQRZabcx7nGdkog1mmRvj\n9KxtjtNCRctUxjAtYeYdzTVsAy1l5sEKzHLOOpmgDfs0nq4/+IM/OJ7jPEyd6AG3/Go2x9l/lnvG\nRAz47G0dMwGAW8LWGmoeeBuXY5z6i2uvBWzbWDbQimqWYhM54jjZ1mEM94awPWkDPTCpx0zMJO2w\nPEwWYG7eL2KVQ4YB+sbSyLpiTJIZ4yB9ZGVzTWGZr7766ll7cr2NG/aZvWtwPqe+tzrPxjhfT/ls\nbK21/H+cQxl/JvQ1E/Ow+blXDuthbCJjS3AsUDzBPELGjLH3XltPjG1ic4nttmv4jsn1Jvdk3VKf\nDz/88Kxd3N+5npggm+Wp4r2t3fm/5Qbk8+aen3Lee++947mtuFQFHoqiKIqiKIqiKL4E+rFUFEVR\nFEVRFEUhuJqGF9ddXG6Wn4EudLq0Q0cjbYdu8CDu7llekYAUhPyf7nlSD1InChTExcf6Gmb5JoK4\nBUlLeO21186u5//jnl0FqJOml/rStZt2zwIa81ujRVkepZlYQ4LhSCeIGzP0wG1909d83qEeMMA9\n9eVYWdFhtnm+bom+wHlmAeOW12Av0HiM07hlv2c8zXKoWP6XPEuOHYqCxKVtAg+WJ2b23Oz8HtVn\nDKcNWkB4+orzjFS4uOzZFxYgaznJVjS8XGM0kDFO84dzPP3GNeXHP/7xbn1TJudj6jETMTChmpRj\nffvUwXmWscX+yDnSolf0kqyjtn7NBDry3DjPjM7K55u11/K4cI+z4HWOiYxrC5C2XEZjnKjWHKOp\nj+VLtCBt/p/3thxFXOdybxOx4HzOXOE50m0s12Daw/HPa7I32jxjHa3d7Kvcm2ukrS+/ibCcfWM4\n9XO7NhGkStp7g4UyzMR7LK+hCRCZSIdR+3hvewflXEs9OH5yb87pjLkZ3Xb7u20bA47J7NHf//73\nj+eyJrDsUMq/9a1v6X3yzsCxnXJmIjJpL++TdrOO+R37h2tM+pJror0TXIJ6loqiKIqiKIqiKARX\ne5bydR2rCS0vZmUxaxitZWaJC/i1za9oC+pKfWh9tYAyfnnni9eyCJvQA+tLpO7xiI3x2CpnAYKB\nebVoseb9UqZlkragXv6WVsvUw4KHeY73NqtJ+prP2GTCaX2JF4repohKUE6XSD1M9vJWJY2DzC9a\n1NIfnBMcW+mTVQBtfmdzdIzTmOG5jHGKf7DvzWNkzy/1sazevN4k+GlFWsnG5v+WroCWX64LZvWK\n58msX/wt53OOub5EIMUkWtkGWseyHrCO3/3ud8+u/+d//ufjOfPg5pmZHPIYp7629eNWsV0/2F5b\nm7km5v+cmyY8Y/se94cc03Kdc5xnrFvGD4Oz7d4mLmFB6eZh5Pg2CWSOR6ujXcu9LfXlOfP4sD2Z\nP3w2lqIi/cb+szWQ+1n2IT4bztO8Q6wEK0xUg3VLPbi22fi7VaQvTEbe5K7HcFGjbXqNMU7jgtfy\nvcKYNvm/MSTGOO2DJi2+EmsgUk/zenGuGUvI1mnzcHIu8RrzbhsLxFJNcA4Ev//7v388zjsBvbi8\njzGm4oXi82T/mphDymT/2n7Jdmc82Ny/Vhzs9mdmURRFURRFURTFC6AfS0VRFEVRFEVRFIIXzrNk\n7q24Rel+pjsu7rwVRcfoD7wP3XVB3Ic/+MEPjuc++OCDs+tJQTGRimCm0x/qDstJ2cxRRJdujukq\nTH2Nxkh6EKl9cQfTNbm9dgwPMmcAe4Qx6EIOnYNiDVYm3dvpA8vozvKNLmk5CyxodwwP9jPRh1vB\nw8PDsS/SX0ZBJL2F48goAhmjRvMw4QVez2eRscM8C5bbjNdk3Fveh9nzS3u5luTYqKBjnOgznD/5\nrQXacg5znmWdMkqDCW6wbey//JZzJv1nOeDG8JwVuTfpQeyD9CX7KnPGaJWWSZ33tPVwRTF5qtjm\ncFvlJrP9jn2SvcmCwWf56JIXhAHS3/72t8cYY7z11lvHc1zXM/8s/xHHdcYgac9sY8YM65b5Q/oS\nc5dkXpiQkOWDYZ+ZeAiR3/J/pO+kfKP2sf9SH84ztjtzifM+fc128T7pI+ZHyny20AOjA4+xn6dq\nJTb1VPHw8KCiJEHGCtcrIn3Gddz6LPRNlsPg/oxpe+7f+c53zsoe4/Qe+f777x/PpXwLiSCFlLB1\nNXON71B8j7S5lrWF+0bWHdbbhC1M4IH7CpHrWWbmotVxJtaQNvI+eQ7cYxkqkjlmFEuro4V/jOH0\n1m1YTPMsFUVRFEVRFEVRfAlc5Vm6u7s7frXlq4xf0fnys6//MTyzdf5Py5dZDExWlV+EKZsWu0uz\nkptF1oICZ7DM3yaXapLGvLfJO0eWcYxTuz/66KPjua2ENtvFetDSmXuat84sojw2MQBaJc0TwGti\n0TFBCrbb+o/ntsF+txQYezgczsQB2IcmfUmLUZ6hBR/zmeb50VPLeZby+Xwzp2it4zxLPWkpy/wx\nCWALHB/jZB23YE7+jhbCzD/2i1mWco7l0FJmaQbSV+xTkwamRzn9ZhK4MwEZk7E1r46J0tByFyu7\nWXFZb5MWtyB8C7B+6qC12zwaGW/saxMhYX/m+c8C1QOOrZTJ9S/jmudYZp4b566Joti4tcB5zuHs\nfSY8MoZbqTPfuW9mryVbwTx3HG+ZH5ybXEvi4eL/TT444Dya7ZFB+or/MzbDymqec7yf7U+czzm2\nsXILOBwOxzFmXtyVzLWlYcj4NHESjjmTaOeYireEZfM5mGCHiSxs6zA75lhIu2dy49YvmWNkVQRc\nVwgrJ3NjNs+zlvHazFWueamvpfEYw/fgHM/mpPWLpbyxdBish3mNtqJo9SwVRVEURVEURVF8CfRj\nqSiKoiiKoiiKQnB1uuht3hLLXk7XGl1cFghmuUjirk1OhTEe0/RCTaDrO/Qh3o85Fr73ve89qiPr\nbvQ4toE0gdAW6DK0fEN0Faa9RmFZuQBZTqhCdIEGpGMY9Yb0K6tv/m+Zjsc4uUPZf3lORvFj+XTz\n5v8sJ2WzL0gLyTWkpKRsowc+dRwOBw0CDowCYNnpea1lHA89gZQFy7NFeste0CePSXPIc2N93nzz\nzUf1GsMpFqQxpF0MNjcaq+WU4dyzecixlXnGeZ/5NctXY/UxkQWjGFtOHstxNqMHbXOO8besj+Wh\nMsqHrZEZK7ckqHJ3d3fs24zNVZ44o7Zy7JjYTfqOFDU+/4wzXpsxQVq55R3kmMix0b8sRxPbZjl/\nZpTL/Jbrfsq3wG/2GWm+mT+WQ8bo+yyTe2DqSbqVBX6b8IvtObN1ddtWls810oRo2Ib0OceVrVO3\nhLu7u2O/pq3snxxz3+fzzLU21yw3EJ815032jrfffvvs3hHrGOPxPph6GM3T3nU5PlhOjlfzk0iZ\nHIcZc3/0R390PJf2/sM//MPxnOVzMircbE3PWLT3t5nQ0fZ+s/KzdvB5m9iZ7UXcl/cEMMbwuZb/\ns12XoJ6loiiKoiiKoigKQT+WiqIoiqIoiqIoBC/MXYp7zNzYMxd63Hr8/7EicH3HVW/u7jFOLjq6\n3uKSJUXH8kSYS5BtMMrLjF4XxD1LlyEpgkabMoWrtNFUcsY4uRzphkxfkFrBPjdaYdpoKk88Z7Qe\noyHRNW5KWjOVwG0b+Iw5RnLNHuVq5RZ+Sri7uzuO07TZqCykbJh73Z4l3dGh8ljeszHcFZ76kDLE\n4+SHYZlbxTGWw3qvKDGh+DGPjNEvTfGP896oDRw/aQ/Hdco0ZSWWxT63fGh2jn1gOS8sJ5WpCLIN\ne7SyWf4Xy2GTe1q+r6eO+/v7s7Wb7Ut/zXL1BEYjM8oklRI59jLOOK4DjhfO3dTDcvdZfjy2gWVm\nXFueIKOnb8sKTMXNchlxrKcca5etZ2M4VTT1NdqbrWdjuPqcrRVsd/qKzzt7m+33vJ89R1tLbonm\nStzf3x/XkPSfPRuGE5iSoc1P9lnK5juHvb+RUpe+5zgkPczy2Nm9t/l7WJ8xXCXR3h1X4zR0QVL8\nsmdxL2Y+sNTNcqyZUizrYRRd22vs2m35Qcb+KgzFvgE419J/vLfR2u155tldSn2tZ6koiqIoiqIo\nikLwwmbCfL3x6zZfvzOtdwvOtGvyxUdLGwNHLRdDvkBZtlkC7Cua1+Qreqbbnv9b0Lvl6JiVaR6s\nfDnPvCSW9yPnaLVkmaaBb0Hm8Ux9/vnnx3P8v1lNUo5ZolkP09wnLHDPMlGzXbEUXJuF+SmAFm/z\nCJlnkDDPydZTNYZbRc0KZLkQrGzWyax9lluLv+PYstxBsZpxbJh3iNdkbJqlepanyrwnJo5gHmki\nc47zKFZBeoIth5x537nmmCWSz9YC3M1jYM/WrLe3NL+ItC9ji32cMUFxIfZDnhHPZQybsIYFK/Oe\nfC4ph3OCz8qsoimTbViJ8JiwQPZd81CN8XgtCjKGmQPQvEDmgaHVN/excct6WgC5iaKw/9gH5hmw\noHNjyZgXjuUY+4Rlpv9MlGeV0/EpI30exo+9v/EZGoxdshK2sfcPPkNjRNkz5H3Mi2ueSXuexuRg\n2Ryz8cAYQ+tHP/rR8Vzm7CyHXsoxb91sPzABhNTXBIZYtvUvr9nmOhrj8XzIXGQ56Ut601NHzi/z\nFtv7ZK69NEdnPUtFURRFURRFURSCfiwVRVEURVEURVEIrqLhHQ6HM1fjirZj7i8ibkOjycyEInKe\n5YW+YnlZCAt4tgDAmdhAXHx008ZtSheyBYGaC9logzMao9GrLC+LBc0b1ZA0x9BQSDmxHAE8ZwIO\n1gdGzTMXr1Fcxtinds2oaE8ZDw8Px0DXPDejbBj9h/83ahld2BlvMzqZiYPkuZCKM6OzBUajNHe+\n0TltHlqQ6hgnN73lPOE1+T/HslFv6M7PMefRigIYsE8iNDObZxb0bvloLHDY6EpG/Z0Fz+/l/LhV\nGl6Q9hmVy0QwxnCKhwX3G/XHaDd85iauYvU1Gp5R5ozGw3KMjmlCQfy/CRZx78pcsH1mjBN1j3ne\nsu7NxFesDfacjGJjOV1szvA5GOXQKMhG/Z3lUktfsm6ZwybycSvYtttyMrKfuKdZPkWjwtnaZWPF\n9rzZO5TBaNdp32yttPyHRqm3kAnbYxkyEZio2RgnsQdec+naYPuyzZuZMNle2WzrKj9i3jP5DpO6\ncT9dUV6zNti7wR7qWSqKoiiKoiiKohBc5Vl6eHg4frXFOmuWZFpZLNiKX9axqFjmc34tziQlt+dm\n1vZ8EbO+aQPrm/rwa9pkU/mlb7KzvD7WIpP8NmsxrVkff/zx8TgWaLMmWvDqGKd+MXlvWuBNJpf9\nZ4HnZhUxCwj/n695C6KnhZ31tTG29QreUubz58+fHy201k/pY7OYjeFWabNQ2zM3+VSzVPN+vD5l\nmlw8z+X5cqyalck8LPTucAznPKWKzRsbCXKCYz3j0DxLM8unBZ6njez7WP5ee+21s7JZvllVzbvI\ne5uH4xqYZTTnLNXBU8fhcDgL6mcf5rnNhDUyTmjJtPUoz4rPxAK/ee+MnZlnJL9draMJ7F4FcZtc\nMcE5bqIGAcdy6k5vCdud9YBj3dYc28dX1vlcM0uLYMI51qe2r7ANmc98h8i9KdzCY2OD3KJQEcF3\nx4wl81aasAKvIcyLm/FhbBbCBEJmgiYm7JHnZKIG9n5KmNdqJuRi+8qe14vj8Fvf+tbxOAJgP/jB\nD47n4tFlW+3dcfaescVszzEWmu1zJqTGvT5rIs+l7lwbTZjM1rytiNYK9SwVRVEURVEURVEI+rFU\nFEVRFEVRFEUhuIqrcXd3d5bfga6zuP/pdqeLK+5nutEskNvyJpCWlfswA7bReoz+QgpOAuDo+o3b\njrQ/Bq3Gxcc25D4zqkP+b/lszLU7owGkr9lXcWNaDgBez8A+oyzmmfHZ0UWaups7mC5Qy1th+XNI\nf7B28TgUBqNF5X8r1/dTwv39/ZGiYvmtLKDSgjBNCMGoKDxnlDrOM3OPGy2FVLics3xMnGc8tsDq\nbQb4bd2zBpDSa/ex4FITkDHKqdE3xjj1G2mzOcccaGmDBTezTJv3rKMFwM9yVgRG9THKneW9uVVs\n55etVQTP5VlyHKQ/ec5osZbPyWjcJtzC31pguAVsc6zz+eaYe0bqxvrYffh/o7BlnrLdpOLmmGtO\n9lpS8I2makH9NuZn4jWWJ9LaYDRfywHFtSJrlwkkjeGCRfYedKswCltgYltjnJ73noAQj00MiuXY\nPriivBJGfV6t01aehSpwvKcdlrfIcibOBJNCyeO7bHL9zfIjpe4cu9t6jTHPCxrsUfdnojcp38Sa\neE3qxjWE7yt7a6vttXuoZ6koiqIoiqIoikJwlWeJFm+TNDTrtQUd0/JrGeLtq5KW5pRP63bqxXMm\nJE/LvrwAACAASURBVEHPUrwo/LL87LPPxhiPv1R5bJY6+3KmRTD/N++AWbZmYg2W+do8Dya3THnW\nDz/8cIzhohkz+UyTAc/xTObVRAUssC9lzwIEzRNmYiG3gpdffvno9YwViRYhs66ZVWYliW9WLz7f\njDcLgJyNk3h3OM8yXnlNxiPHOoOgMz6svjb3xnCPc+rGsjOf2ae0JKae9LJaugKzQHNOxcvE+rzx\nxhuPfs/78djm3ky8xtZQs1jm/7yWMI+aBTffCg6Hw5mQyKqdZgldpUEIZoHStm+aHLatdbaGc1zm\n2DwbYzgzIeVwTqzku02wyNKCEPkt3wcyL1biThYMbmPd0miwvmYhN+GjMU7PxyzbXF9yjvW2oHP2\nVfryFvezLfY8oBxT9mxMXprj3eS5Oa9snFrZJvaw8rLb2LQxaSlSZvLdKcvmmu35PMc5FKYH97T0\nC+e5pYYxjxv7PO0xdgZhbAqeo+x5/s97p24sO200SXT+1tgb16KepaIoiqIoiqIoCkE/loqiKIqi\nKIqiKARX0fBefvnlI70mLjG6K3Nuptu+Dawaw4UOzCXNbMSWJyVu1ZkbNzQ9BphaLpe4y+lKnWVR\n37aB9SX1JoF05pLl7+K2n7mDjUqVe9PNz3anLNITQz+ywH26Qi0vlNEajE6w/W2QPqD7NXWc5bCJ\n69e09C24/anj/v7+KKhhuZD2ghbH8CDX/J/jKcd8FkZZMGoIny2PU29SWXLMeRb3+WzcGrUp7bb5\nOsYpSznHjlEnLLiUyLgnZcHy8FiQOek4oQaE2jvGaZxyPbOM5JZvxKh5hAXnWg4towiPcVrzeE3O\nWSb0W0L2LlIz09+WE2kMXxPzfNmHlhfNBEwIWztNwMPmoT1fWz/GcLqLUbttPBo13qjUHJerdSx7\n+4qGx70g9WB9LGcYYVT/zPvZXpL+sDll4jRZj8bw/FNGvbJg+ltBnl3WRduzjB7HY47T9KnlCFuJ\nLFi97B2U5dt+YdRoyxfIOtn4mt17m+duDBdg2dZ1e+/MF+5pyfWX99MxHu9V9m5l72qpG+tI5Nla\nrk/u+SY0wfnAOR8Y5ZW/M/GO7Ty+dE+rZ6koiqIoiqIoikLQj6WiKIqiKIqiKArB1Wp4cQHG1UVX\nalxidIMxt5BRiuKao5vfVE5YjqmpWM4YowKxzNDQPvroo+O5Dz74YIzx2KXPcowiaC5DU0ShqzDl\n0FVKRQ+7d9pGqk/6zdzTvDefiSmI5Jq33377eM4URMz1a9Qt/tbczvxd6kZaoOnmm3vbFGaeOu7u\n7o79E1rkNbSCvf42hchZXi9Tw7F5ZvkebJ69//77x3OZc1YfnjflO44NIr/lWM84MYqs0af4W1Oq\nnOUoyj1N6Yg0h1XeDXt2luPJqJNcS3JsilKWb2aM/f7L/25tnoX2k3ZybTUqHPvdKOR2reV2IWzs\nBCx7RlnZ3tPm60yRLnPK6NWznDeBUdVNac/GGM9znuUa7nvJEcPrjZJo+69RZdk23sfyrhhdkvPM\nVIFzjtdaffl/o/LfEu7u7s5yLJKmmPYzxIJjztTebExb/5k62rZue+csl1bGwCo/n80HU+8zRVS2\nh9fs0eNmipuhF9t6wpyI9h5u9DijbxMWAmBKmaY6OMZpHeY7Yepj+xfrsNqjtpT6S3MJ1rNUFEVR\nFEVRFEUhuMqzdDgc1MIaWA4d+3I0L4hZ4ghak83yZbB702oaiy+D2mKdMhEF3pswi4F91fMLNl/W\nZjnn1z0DXfO1zTokYI/WCPPAWGAtLXHvvffeGMM9ZqybeTjo9bN6mK49x0jqNss1YIGT29wHt2Tx\nPhwOx7aaBcvaapZNe35mKZ0JPJjV1DxU5k3keIu39kc/+tHxXLyszLGyEumwHGdmtaY1ynIKmVgB\njzPPaHXe85KyTAuwpWcpZc8sauZxtpww/D+FWAILurXAfRPL4Bq59Sjd0jwj0jccO7af0fJtOags\nED0wTwKvN8+HzWHem8/K6pv/z0RRzNKee3Nd5xhLPS3PmHmgOGe4vqSeM0ZBwMDwlGV7P+dRyplZ\n2ld5mALrf9tLbQ2c7aVWXxN9uDVsxw37MTnpOHYpRpDxZc/LGAKWk3EMnyN7Hln+luXYOdtXbP21\nfF+cF/buaWJOK2+wiXox32beLTkv2Oc2x7IHcZzaO4Wtfza/jJ0xhnuQba7Zs1vlytsy0yrwUBRF\nURRFURRF8SXQj6WiKIqiKIqiKArBVTS8h4eHI40kbi+6zuLWsjxKY5zcdeYmMx15gpSxuObMXTlz\nq6eeLCf0mLiAWUe6RY0SxkDg0AjoHiRtwVzrRotKHfl71i3UJfZv+or0EKO9sa/SLxb0TqrUKngx\nfU3hCt4nx+yL1M0CBGf0IOurbVDhyvX6lHA4HM5y4li+AT4/o2itXNgWHLkSeLDfEaknqa05Jh3N\nxuiKgmJ5gizwlchYt3wXHLesmwlAhJ5A2qDlBOG5lGPUolATx3ARBq6raeMsr1buYxSn1Txi3XJP\no47s0a+fMmxeBOkHCuGw70I5Y7+H+mIiAbMcdNanltvFqF4retceVXCM03g1ChJ/Z/kLLW+KUdFJ\nB+I+lXHL3Fapp9Ehx9jPP2bzcSUIYMH4FtzP8xYSsFojWc5eMP4t5QskKFpk4j1Ze7hv2Fwz4QDL\nz2eUy0vqGKxosmmDCfrM3kVy3sSEZiEcOc93qL08SzzHvSqgqEbeYTmeSb21MtPXXPNsLVqFBdjv\niD3at51jHU0wifdZ5U2doZ6loiiKoiiKoigKwVWepefPnx+tQPnCNPlp80iM4V95lrk5VgSTXRzj\nsaWKdRvDMyqPcbJ406IbKWNalc1yxTbGGk2Pj1n6I/k8xskSYMHzRALuIrYwxmNPT4LzTNL1m9/8\n5vEcrXexiL/yyivHc7neAmJnHj57Jnl2M09iztNykXOWgZ33Nssi+y/1sKDKpw4KqZi4hUlJm1XM\nAl85J0xedxX4alYie5a0YOWYYiWZHzNZ1/yWsv4ZRxwHnGexiq2silkL/vEf//F47t/+7d/O7s36\nxLLHeZYM6GOc5I1pmTNPcY65fnDtS93Nms55bx5p/n8vk71JjPO3JnxxS57b4HA4HNufZ2CMApPO\nHcMDm83KagIdM4tqYMIkrJtJDtt8zVjn+mFSvxYQPxOVsfuY7LZ5N4mMa2MesOxL5Zlnlm07Z3ug\nSRxbsD6fo7XbhKxsjTXv4qyvnjooWmQe2fTf7J0v7wN89zMxB/MCrTyK5kllmakn62vvPibAZWOO\nWMmf5x2M7295p7MUD2RLcK+Kl4l7Vrx4xloZw72clpJiz2M2xn67ZyJttlfZu56Jqcy+P7Z1Myny\nPdSzVBRFURRFURRFIejHUlEURVEURVEUheAqGt4Y525wy3MyCxgzikJcgEY7mAVvx31m+SJm7tdQ\n6UwwwUA9egYdhrr34Ycf6n0CUgu+/e1vjzEeu1ItIDxuXFKPWI+4oleZ3M09y/uEukTKoQU6092Z\nvub/49plfegCTX1ZxzxTy5VjuQ0Iowfdap6lrSiA0X9m7mPLhWDPz8pmv+9RTCwnwhin+Wxj2AQ6\nSHHlPAstjrTZ1I1tYF6IN998c4zxmH4QGgPHR+Yu72d0HAtqZ7u5lqRur7/++ll9bJ5x7SHlNOd5\nTZ6PCUGwTiaaYTToFSWL2FJdbmme3d3dHdcjy1Ni9Bzr41mesu3/Z/vZHvWM49IEDEyEgedCKbXc\nJDxvlLoZjcyoLzY/UndSconsQ6R7532BlF2uG5anzGiBVkciv7Vg+ll+pL1ca/a7WdB+7m30zlvN\ns/Tw8HCWi459kvel1Z7GuZZjG4eztdKENCw8xI6N5mzr60xMZY/WRqxyFNlabAIZXC+yT9p7KfcA\nE7Mxqq/lWbS1cYxTv/HZGY2YsHmwl4+O9bHcpezn7XNonqWiKIqiKIqiKIovgas8S3d3d8evR7N2\nmrysBbuZFYaIddVkqMfwAEr74qV1PiIO/PLO1zit02kPrWG0kscqTWuwyUjSMmZyyrGgMWAx9+RX\nMD1zJsVtlhKzAtJ6FwEIfunna5yS6Ca4YIGRK4lUBhCaZ2lb3hjuHSNuUdiB2FqXZpbhwOSeLRDZ\nvIAm0TqGW9zM4s15lnFv459Sw7kPvTPvvPPO8TjzlZYnsxJzHkYYhWMnAa02NzlWOT/My2pWZY7L\n9AHnZjzJJkzC/jG5XPbpKkB5TzKdz8k8SyaIY1a4W7R4Hw6Hs35i202G2CyqZu02iWPz3vD/BtbH\nrNTmjefzNW8s99I9z+JMzCL15bURfjKZ/JknM8eUOM7eRAs357gJIKQ9tvfY3OO9zWo+EzPJM7Ng\nchsjLNsEejj3bnmeBXvpB+x5cI7kPcm8uCZ4xTE+E0IKrD72O0sHYGI5xkgYw1kwljbF3rvMc2IC\nLFwP+N6acrg/ZT/m+y/FzrJv8z6XettNqGPlxTWv/uoaPudglU5hi3qWiqIoiqIoiqIovgT6sVQU\nRVEURVEURSF4YRqe5WJYBTbGRc9ze240uiZXdBwTfaDL3oQkUibdkOYqZTB26sZA7riIZ3mCUhZd\nnKknXYa5xtzKY5woea+++urxXPqCz8GC+JIHZoxTADxz1KRfSIsiFTH1Zf+lX2bPc8+9uQpuNbep\n5VOwYNFbwDYvkuUWYB8a5c5ykXCMGr3LXPurLOU27jlnUp833njjeC5z74c//OHxHCmg1q7QBkx4\nZIxTX0WEZYzTnLNgWI5lm3Oce5njlg9ujJOYwx/90R8dz2VdMZoC+4f3tqzqRg+ynD0rqo89O86b\nvUzrexSap4yMd5tTGR8zCkfG8Kw/A6Osr/KrbK8dw2lbRgXl2Mk4s/xps/vkGsu9xPI5X7dCGWOc\n5gdp2DZfOW5tTyZN1YRqLJ9fMMu/Yjnb9uj9bJuJNcyo6HZvozLfcj6zLUxUJO3mM+RYsmv26Ogz\nMZW9sT8TA7G1NPOB73m5t81Tls/xnr1oFv6wl6vSxtxsrmXfMvGj2fu65QOz902jb9s1/L/lM7V8\ng4RRj1e0StvTtnOsNLyiKIqiKIqiKIovgX4sFUVRFEVRFEVRCK6m4cVtbTS8uMRmbr29nECmMjRz\nuZreurnSSB2wfENRqwqFZowT9czobyyHCj6Wy4WKXKkH65Pf0v2adpkCHq/h/0MPotIYXa1RFyKt\nIb8lXS/1ZS4oUxBjG8w9bZQV9oXRFoIZBSHjycrey33xVHF3d3fspz26K8+t5k9AF7/lalm5sLf/\n29bD1KqiSMcxGHAekaaadYY0mcxJnuP9chxlLtbT+o/jn6qUmXO8T+rO+rI9mWdpK+trSkZ8NpYv\nju1aqXTtURbs2c6oXdZX2xw2tzTPDofDsZ/zzFcUjxX9ZI9iRRqeKWKZiuyKlsX5nHG0Uo8j0l62\nwaigHEfZf7iu2zps1HeWk/xr3M+y/8wUzNIvph5m7xqz/CpGWTS6pOW2Iiy3zqUUcls3V3nPnjK2\n72irfEK2Tq3eNYxOS+zNp5USodG/+f6W8T7L8ZTyWYeUY1TUMU7vlhyHllfM9gjeO2Vyb0w4x4w+\nZ2Mx/WvPzt4Nxzj120yF1c6Zgqhhlf/P1tHtelsaXlEURVEURVEUxZfAVZ6lh4eHs0B/s6jM8rbk\n2L4w+VUfK+/MEpcveH6BW04MWr5yzC/0iDTQqpwvZ3pY6ClLnqVVxm5en/pacKvlTKKljWWmvbFi\ns+60clPMIdYFlmMCAAH7h7ln8kwt9wb73KzSFkhvVgTCLAEWSG2CHE8dd3d3Z94js+LOPKtmMbH8\nCOY5skBkszzNBB4yJjgeIzLCeyeInEIpHKOxgK2C0Tl/cj09qyZMkvpybaJn1jyvds48UyZEYwHf\nM1GUiK7E6j7G+jldmrdlNUfM8mn1vRU8PDyceW4taHqWNzDjyOam5R+8xnKd41lweu7NuZd9xoSE\nuJZbzkLu2ZmbJhgyxmmMskwTuzDvDgPQ8396a8Py4By2PHv2HMwbZfkQx/DnnXJmHrVt2TxesVyM\nbbPySN4SDofDsX+33twxnC1hQgjW9/b+wb7l2LacmMZUMg+z7XMcK6njjFmVY64X8Uyxjrw+73rc\nn6wNOeb8snxrFPV6++23xxiP2RC2X7CNxviwPdq8vMYwmvW5vVPvsRuu8Sxtxa7qWSqKoiiKoiiK\novgS6MdSURRFURRFURSF4Coa3uFweOTmG8ODl412MoZrq8c9yGvsnMEoQ+YqHePkwqPLP3VnHoe4\nCllXuvetDXGlsi/oNjUXqbnbjR7EPkiZRhEklZDHFqRnOQ2MysA2GE3AXN7mNuU5o12mz2eu6PyW\n/WvUo1vC1rVt7vFZ7rEcW4Cs0QIIc+0bDY/jinVLnUgl3YrC8JjPmXMz1xjFwto6xmnsknpjNE2b\nZ5wzOW+UO/7OAnmNhmoUAJ7jc8wxKQtZN2YUlT3Y3JuJ7uTY8sj8pmBFsTLqlPWh5Wvi+DfKGMvO\ns+IYZZkcH1tYTjaWzWtznnm/Pvroo7NyjFbI4PaMW8slZXOPxywnef5YX8vFaMH2vCbz1HL1sExb\n7/icTGCJ48Fy3tgeZ8ercXNLOBwOu3RUEwjh87ScZ3vB+6ucSXbO1koemxgI75M68j3PqLMc7xEU\n4/zjmMs9I7A1xmnM2bvWjDKcOpnA0ywn1batY+wLxlioB4/57Iyia/PBQgkIG0u2T9q6k7aUhlcU\nRVEURVEURfElcLV0+DYbvWWan3mE8vW8CmJcZU43i1+sZfyCZD0ScM6gVLME5P8sm56ntN+khnku\nsows6/PPPz9rAy2HFtRuAhAM0jN5YrPgm/S6SZeaVXKMk+WQ9TVZa7MGmQXE5J9nniUTJ9iOkVvy\nMB0Oh2P7Mt5s3M6C7s1qk/6x4NNVxvqVNc/kSulZ2lpy+DviUovtTJjBLIAm7Zvj2TqV+cx5xvZs\n28Uy2ca9c+ZNGuPUB7y3eZbsmVlfrTyFZrm7Rtb/qSN9kTFDq655NGZezWCv3+2+xGqNZjl7ogcc\nT9v2jeFWaiL7mHnyt+UHewwH886McdqzVx5aYk+G2AQpuG6yPVlDzGq+eu8wcQDzxs48aiY5n3vb\nc70VbNefmcz1HsxLb+sV+3vlHd8TvGJZ5s01kQoyG1ZCEmFTzES99vZJju1cP5Pcz/w3FgjbtdqX\nbU8zxoLJltu+s/IkmtCGCX0RtvaaWIgJh+2hnqWiKIqiKIqiKApBP5aKoiiKoiiKoigEV9Hwxji5\n1+L+Ik3MKDrmArVAupUbdpVrIccMlLNcJkZlYB0tGJ2uzfzfaGKz4O+4SEkfSn34u7hVZ6749KtR\nEEiNMMoEgwpN2z9l0h1sOWyYP8eyWButx9ymFtg3y9dk/79lgYeHh4djn2Z8cJyERjML+Lf+sgDa\n7e/H8Dll1AfLWzSGU3Q4J7f1sbxP2/KD/JbzzHK9cD5nnllwvNFQ+VujyczmWe7JcnIfG+ucW6Ry\n5DmThpe8OexHo0YYZcGoDYStuzb3bhVbypTlr7Lf8/+8Jmsi50TW/Rk1zwKtTUiIVLo9SiXHVjAT\nBMk9eU3yrnBusd2pr9F3WO/kSjIK6xgnupJRlYyaN8Y4E5gaw2n7RrExeh3n3ir3i9G1LBA9/TZb\nVy13Xub2LeYzC7ZjlmulvYut8tNZnpzVepWxxPvYuLiUnsk5Qkq41Tf35tqe62eiXoGJLPHeofPN\naKe2Lm3f5bf3sfCI4Jp3AstBaGIptreu3tft+8LGg+2DzbNUFEVRFEVRFEXxa8DVnqV8qfELNojl\nhRYTCyjjl7NZwfM7fhmzTAv+Nq8LrVOxIPH/Ztmy4Ex6U0w6OV/evB8tYBYYaNaw1IcWRFqTLbDf\nMsabPDrrYEF6uadlpGaZtIrYNZbt2SxxZhEwaznPW7DzLQo8jHHucaV1NmPLgizHOI0Js4KbN2Rm\nzTQJcvPKmCCJyS2bZd3GMs+blYhzj/MjY88saqxPvHa8lvPVrrG1i1bpzAvWzax5JmVKq6LJ2Gb9\nYX3NymljYCUfb2ufWTHt97cEs47m+dGTuQouzpy0vYlrI5G9dCauE3A9tueQPcC8taw315L8llbd\n3PvZs2fHc/Q8pa9MsIX3Nmu3pQixdZ2/M5YH517mxUpchXXLPVmOCVvMRC62sKD8azzX+e0tS/Vv\nvd2cD+l7roX2PmDrmXntCF5jc8TKMU+ECVJY6gvOJZOM57ta5pWJdvE+xibi77JH0LvF+5iAV8o2\nGX4ekzlkIm3pF3tHZxttn1ulAVm9M5jog4k5zCTKr8HtzsyiKIqiKIqiKIovgX4sFUVRFEVRFEVR\nCK6i4R0Oh6OLy4JbLXCPsKDVwKgDq3xMRnWgi43uUKPhxc1IV58FclsWZrYxrkmWbbQeywOxyuxN\nzX7LD2MUNdIsLNtzXL6WB2IWLJn+M3rVzK1pz8TOGb3BskFbUOEt0vCYz8xoGRl7M7e3Ubn28iNY\nbqUx9gOnZ5ShHK/mWepoeV74W1LPjOJk68bKdb9H25nBxEqI0B9IOcp6Z/ee0V3zW1t/ZgIYRrnb\ny7ROsK9MBCfP0damW8CWemiUL1JbbL028YNZ7rlgFcxsVNAV3cioLRmPs1xHVreMp1nAdsC5a7QZ\nC8jmO4CJVBgtkG0NpYfzJ/e2PZdlm0CKiWoYzYf1tf3KctqY2AuPV2IGt4btOL+U6jaGv+fsPQcT\njxjjNI5N2GNG5dp7D2UdMzZZ9oo2aMJLRk2zcbgSRTNa+4pKyJCT9BtpeJ988skY4/Fcynhmn/O9\n1aiPoV3O5kB+a2PEQglmz87Glb0nXIJ6loqiKIqiKIqiKAT9WCqKoiiKoiiKohBc5ft9/vz5+OKL\nL8YYJ+UPUyyZUUDiHjNqAd3U+f9MiSbX0NWX603tI3XfIu5Bo7QYdYb3oasvfTJzi6Z8y0sxy39h\n9Ta1qlzPspOXhfchZSJuVaNFzhT9Pvvss7P7GL3KXKk8Z/QIo9kZTckoV7eoHkS6a+goHOumbGPU\nKT7LlfpgYFQuo+rMaJR5Rnx+Rqs1JR6jqnz++edn7XoR2uDMTX8pQq2Y5QLLnCJ9yBSKcs2Mhme5\nciyvhuWbMdgYmdG5bE7tUY9uCRk7NtZnNBzL2WI0RaNP273tPis1NqOpmLId1wKjnRO2B/J3+b/l\nS1zR8klRyvU8t/3fGI/nQo5N5S7551h3Uog45/LMVvltiD11VztndCEeG335UvrsU8Pd3d0ZtcrW\n7lluqr31Z0XNI0y10e5tCo32PPm7PMNZuImtMVZfa89K5W9Ll96Wbbne7D3b6LpGlec1fDcJONcy\nL1mOrTGrHHZGwzPas1ENjSp9LaX89t40i6IoiqIoiqIofg24WuBhq5FvFuY9IQf+box97w4tL/Zl\nzf/HOsucGPySzdev6a1b0DvP0Tplnpz8f5YVOu3l13bKp5XbcjyZhcM8VBR1MIsV25C+4HPKsQUe\nj+Ff4bFC0OJtOaUsX431D60VlmnarKzmZXnq+OUvfznefffdMcYYf/iHf3j2f7NMmoVqZWGxjPUr\nT8S2vDHcam05RMyzZHnPxjhZozhnzLLEMm3s7XnHiFUehj1rOuvEvkgbmPcslvGZd8tyZGXOcG0z\ncYprLG7b37FOZoW7xQB0WrttjFt+pJXwhuXcM0um5U2Z5RzZ3i9139Z7TxRm5oXeEw1iW826bOvG\nqo42ZziuTTTD1jn2Tzy3nBN7eWVYjokymaeLdbKxshKVsflsVv5b9uBuc/3Z2mRiH7yGsP1pK0C2\nhc3FWf6z7TWXerpmeez29tFZW/fabe9InAPs34xp27/snYD/59zPe6YxnlYsH+7PmWszIZzU17x9\nxhibeSQD279y7aVzrp6loiiKoiiKoigKQT+WiqIoiqIoiqIoBFdxK+7v78/y7dAVaDQPuvLtd/m/\nuQJX7kxz1fMauvXiAqQrMKIFdAVaECddm5YzKS5FBpjStZvyV/WJe5E0ALoccx9S6vJbBpGb25T9\nF8EKuiZDhTD6yBinvrb8BASvsWDVXGOUolnAndG4bi3fC/HSSy8dc2GlP00AZUbD23P3r4LEVxQs\no8mwzNTTxroJk9i45DGpebmGvzOKrK0BKxqegfcxoRQLQmcweurx6aefHs+F7srfkcZqFB57dlxX\nbf5sKS9jeN6bFQXBqA+3gru7u+MzNJq3rdtGV1sJpdi4NKo1n6mtb0ZRmtHMtuXM9kWjyq3ykNi9\nMwZtH+faReq3CRbZPs7rTRzA6DT23mG5kIwGv8rvSBg91yh+RuFiX9hY+02C7fEmnmBzyMbuLG+R\nlW3CNrOQir1rjEp4KVhHjgubn0bhNoEV/s5yFK6o+9uyebwKv2E9jApvgmyrUJu9vcoEVsbYf1cy\nWv8e6lkqiqIoiqIoiqIQXB21u/0qW2UqN5GAmaVpi1lwXL5UV9YcK2uVbd0yp9NDEm9U5MJ5TMlu\n/j/X03pgFs1VgJxJXAa0XrOceIJoETeRhXh6mMH52bNnZ/W1wH2KS1j/WkDeSryDlkGTa8/zvtXA\n8227VgHhZh0xq6ldY5Y5/tYsczORhYwPs2px3u+JnrAe/P/7778/xjhlEd/+f8+KvrIWW2CreVZn\n1vZ4h0wAwJ7NK6+8cjx+4403jsdbyXgec60077PNTVtTZpbPPQts/t6SkMoY5+2xsbPyYvP/th6Z\n1dcsvHvB3JcgY8e8Xyauwnta3Way2mbRN2EkG/+2VqzWf471lL9KpWBjnGXupUNg/1gb97yQvH4l\n1GT3uWWBh2DPA7oK1F+9I5lXlGXuvaPOvOc2P22vsXNWDxNyMVEulmXsj1VfcQ/O+99MwGtbNo85\np7OHz/btwERSVuvbzDsUmPiRjRv2n3kA04Zr087Us1QURVEURVEURSHox1JRFEVRFEVRFIXgKg7T\n8+fPjwHVlpfHxBFI/zIXqLnwLPeSZbk3Vx9da+aGtNwGLDtB3byWwg0fffTRo9+NcXJJGs1o140T\nngAAIABJREFUDHe1pu7Wfsv7xHIYHG7uVXP/G93R6ExGeRjjFEjPdoWyZ9SjMdwtHZEKc/ey3uzL\n1M3c2xb4+dTx8PBwHF+kOAZGC7B+t2BZo5vN+s4CIFeB5yZcEtB1n/nFuWV5Ut55553juVBbZ4IU\nAceRue7THqMc8thos+yLFV0ibTCqra1DY5z6hYItRhugKETqwTUrx0ZPmFG7jF50y/Qg5g0MZnMq\nMHEE7nFGe9vr1zH2xTNm1BR7LkZBt5w+K4pa9gruBXYfa8OKhm19ZeXMBJYyhlm3rAtcS7Jf8d6c\nM2mjiWbMqEp74iuECU7YsT2Ha8Qlnhq2lCjbswibi6v9y9Ype4YmAmB1nf1/b32dwcQGVvm19sSt\nZoIUe+eIPdEnnjdaW97jxnDBML5vmthKzl2aS2t7vAfboznXtnTaS8utZ6koiqIoiqIoikJwlWfJ\npFZnAVqBWXktENkyyVvWcJazsvrw3hFf+Pzzz4/n8nVML1G8LZQk5le0eVjMg2IWNlq29uTRIxs9\nxmOJ7YD/T6A4g8QpzBCwz9MH77777tnv6LViu61/Y/Gj5c/aaLKpJj25kn8078DKOvIUcTgczuQ2\nV9YoEyMg9ixuK0njlWw0LdrxgnDsJBibv8s8i2jDGI89T3ZNYNbp7fH2nI1B9qlZv+nVe/XVV8cY\nY7z11lvHc2+++ebxOJbuCMCMcfJCU+wlz5PzhO2OdZxr0je+8Y3dtqYd5h2zgPuZ9z3geEhf3OI8\nG2Pf+mpiJWYltbWeuHQemcfUxi3/bwInvE/G8MxbkmtMEt/GDtuzsr6bl8jEnTgPU49Zmgjba/Nb\nzr3s07N3CAvqN48an72txZfC1mdLi2BMk1vA4XDYFUox8Qx7t1ylPTDRIvvdTGzFYJLgW2YLwblm\nnhO2IeOT43TlHdvb32fvAeZRW3lUjLGQa7juZH/j/SgUlnJsjWF9Wbe9FCU2jmZjywRstoJT9SwV\nRVEURVEURVF8CfRjqSiKoiiKoiiKQnCVP5n0oLjmLCO3BWSOcXJPmhuRv0vZdNmvBAGMUkR3uuV0\niPuQLkXLyM1rEnhNOk6oDqTtsB6k9AXpt1XAIgO9g9ByxjjR70jN43HaxhxQoUj9z//5P4/nzI35\nwQcfHI9DcSB9yKg+5mq1QHoTsaCbm9fkOfL/uU/at8qF8pTw8PBw5iI29/ksd0rGlPWnUWdWAbLE\npRRAuu4//vjjMcZjal7qZjkcxjiNe1LdMtZJFeUakPnMcjJ2jBoxEybJNRzr3/nOd8YYJzreGL5G\nkOaba9gX6X/eO3S9MU6CFiw7fTWjoBhFxURlUo8Znc9oU9vf3RIN7+Hh4TgmLQ+fzSPCqIl7lI4V\nlcZoR7N5lv8bTYx7suWdYZkZh0bTm4kNmFhS7mOUOhNumcFyRZk4ke2bq3wwrK9R7lYCDns0vFWe\nJRMzYH1TT9b3VmHri1E72adGpzRa295ayGtWsHADEy0ibF7YnJ8Jnhj2RCGMis0+o+CJ5eLLHmtC\naWP4HMp6yXfa7LszemrOM6Qk957lNLs075adsz2P7Q7FPW249N2xnqWiKIqiKIqiKApBP5aKoiiK\noiiKoigEV9HwfvWrXx3pWKGcmXLSzPW9UqwLzE1t9C+7hqCL01ykRo977bXXxhhjvP3228dzVK2J\ny/L1118/nktffPvb3z6eoyvQVDdM0c+oM0bH4TW5t6kJjnFym7IvrP/yzOgqJTUjblNTkeHvzKVr\nuUmIvVxbrK+p812qZPKU8PDwcBxzRsEyas1Kmcqoe6bSZUpzVvZMSS4wignHQebK9773veM5KsAZ\ntTX0UirtmFqkUX9NPWsGo+LmmJQgo/3Y3OT9LJ/Zd7/73eNxKIbsC6NF8ZmkjaYkZfl1TN2I2Mt5\nckvz7e7u7owqdo26q+VAsblg9BvLvcXxZrRAm7s2lo2ixmdu+6/lMeTvbF8wqpKNUa7bvE8oq5a7\nj/RzzvfUjXtylDV5LvecKaymnlyT0i6jkvMaU5Bc5epZUZ3Tf5z3t4r0uVEcV2p4q9CLYEa9M6qx\n5cWyunG9t3Isv6GVybFiVDe+T23VSHmOSN2ovGrvS3yPzn7KPZYU99yT7cn4JN08dD/uaSuV2tR3\n9l6aObaaa0YPt3dmlpN1In11aW6zepaKoiiKoiiKoigEV3mWHh4ejl+R+WsWEws+HmM/8ze/rE0z\nfmXl2167vcas2/miZl6ieIySv2hbtxxbvo1YuMZ4/JWdsr75zW8ez1mOotSdX8FmqbP8URYAOIZ7\ntdIHtMSlbFoeaNGLBYBBg+mLWSZu84RZULRZB8xis8q7cCt4/vz50XKTMcXnYm2350vs5Saw+cjj\nvYDcbT0CjuF4YyjW8K1vfWuM8XhOWG4mwsQuiFjFTMyBYyv9w3Zzjts6ZRZA9kH+b7lyzMvGOnKe\n5Twtd+mLWZ4eC2K13CBmvbUyjQ1gY+Wpg3kD04dm2Z55xvdyWa3yptj8MS/SLOA/5+1ZGrNjNnbM\nu5zr2S6O1wgM8Zx5atJuy8nC8nnvWLvpWaKoipWZPZB5A7OW0CO2el+w+WEeaRsjJr7C+7EeabcF\nxNu6dyvYW0vSZ7ZejeHec4PNpZXAwyoH0VbUjL81caNZfjLzPJmwBdeOvEdy/GQ/ZTkZN/RMmqAS\nx1zeKfj+S/Gw9Dn74sMPPxxjnESbeO/ZO0HKsXyMfE+2930TSVmtnSYaYV79a8XBbu9NsyiKoiiK\noiiK4teAfiwVRVEURVEURVEIrqLhPX/+/EjDev/998cYj+kiFjBm+RvoWrNgNaPO0FUWN6e5+uhu\nozvUcoyECpR8KGOcXJP8nbnGWe+4SOk2Jk1gL8+MUV74O4pQpG0MMjc6Bl2t6UNeY67sUJjo7qWL\nNM+U7U67GLR7KSXlUtc4yzRqnvXjUwfzmYVawtxZpK4Fq/xJFmRuvzOqI93neZarXD1ERFMoZLDK\nSWE011xjudJYT3Pnc04YzYhz3NapnJvRXU1QIdfw2WR+cY20IHK234LVudbYfDZqieUlsWdnNJFZ\nrqFbwR7Fimun0YRsvbU5xXOWn9CCzmcU2dyba6/RSbKGr/azlbAFkXcAE1CaCVIEJi5i7wjcP0kt\nyvzhfbJnMzg9/bOaM7Ze8XdGib90XeAzJtXJgs5Dt77VPEt3d3fHvrbgfcuVtXpeNr7s3dHojrYu\nzsZK1l/OtVxj4lQzIR6jRtvasMr5Z5REE0KwdwJbY2ZzzfZTo7XZnDVxJKOtz3Ky7oUSWL5N9g+P\nTZQlVMJr3xnrWSqKoiiKoiiKohBc5Vka4/zrjl+GFvQ2kywNzAqTczNrl5Vj97agOVqfEkTKYNLA\nrKtsD7/A85U8E2aIdeC9997bvU/KtGDzMdxLtBfAzt+aJCS9FQkyN/la1pP3joWDog8r74CVHayC\n9OyZWDD+LSFjix7cPKtZ5u3gGs+InZtl5N6WTeS50EMZgROOt4DWOrOSm3d55sk0b4oF0Maybt7q\nWdvS17NA+Yx1zo9cw7kXCzPXHAuKN5EKBtXafWjp35PDnXkS7ZqtZ+nSYNingu2zXlmCbb+jJTPz\nx/YC88TwGrs3y+GxedtNvjvMBLOAs+4sJ+c4h7kWZOyZx5ntSpkzeeDch55yC15nPXINn5tZwP/1\nX/91jOHCUfwt2237uM0V88wayyUe9W0bbQ5lTfqXf/mXs//dCrbvbStBmpns+xb2v5XAg617lgpi\njNN4MKaSlcNrCdsjMp5n70o5b0IInFfZY2ZrjHlfc26WBiT/516Vdz3WN3NttYfavmKiGfw/YSk9\n7F2WgjCWeuXTTz8dY5zexy8VCatnqSiKoiiKoiiKQtCPpaIoiqIoiqIoCsFVNLz7+/uja85c33HD\nrVypdHtZoPcqmNgod0bNM5AyEdemXUsXJoOxLUdRjulStHwrDEY3GkBoeLM8D0ZZDEWB/Wdt5Lm4\nYplLygJnTWTB3KuzvC1Gw7CA8fzOck7xeuvfWxR4GOPUJ3tUoFkul/SFBZ6vMmsbvWU1t4wGwTFq\nIi7b/Dbb+lgeMgu0NbqT0WaNQvEibeD4Jj3IxExCuSNFIMczykHKZ9lZfz744IPjOdKAjZ6wHT88\nNuoI/78Sj7gVMOjcxmP6g33N55vxwXESWK6jGcU1a7TtgRT74f9zPdd1yxUVcM5YADnneGg3Vkf+\nnzAangnIWP415hnLOdaR1KHUw+Yr53j22s8+++ysjgT7Jf9n2aQbWR4mCxlIrpoISI3xWODBqLah\nSzLPza1hSwW3HEQzKlz6ymjktobZ3jfG6Rlb2MKM9pcxxzmwt5aacAXrxDmbtZ315bjIfOB+sLcf\n2/zj9Zy7KXt279ST7785l9xmY5zGLkMFjK5uOVdn9EoTvjBqftrzxhtvHM9x3m3rPcZpbQh9cEat\n36KepaIoiqIoiqIoCkE/loqiKIqiKIqiKARX0fAOh8PRFRbXG11ioR7MFNWMureXb2hGMzLXnbnS\n6NK13Ewph/Q4o9uYOg7ra3lbjApEV2rcnebupSuU9TXah+UIoMsxFAdSGXI93cpG4bA+5b3jnjVl\nQNZp5Sa3PDLs85TJslP39OmlrtSngjx3U73ao9tYGbx+lV9iRWdMf5uyDWEKWDY2eD+OR6Ph5XrL\nBTGr+55KHceMUXpNodPm4xineWYUC/4u7V7Rq0zpiFQeyy9lNDxTFLVcQjxejZFbwd3d3XF8GIU8\nz3qWd8fod0YNMqoWsaUCjnF65jO1qMxDU58zJblVDhPLfch7c34Y7TPH1lczVT2rT64x9a8xTvPZ\nxi3pQlGiMyr5DKaKZu8dpjLK+ubeVMMj1dAoRqHf3SoNj3MtMIVS9r3RX41mZmELMypxnhPnrqnt\nWj7CPXVf1m1Gc97WkWXP1J6t3bYmWw4wG/vcdwKjkxO8Jv9nCAcpeQH3+tTD3t9muZkCy6vFZ5c5\n9vrrrx/Pca5Ze6JMmTW2anhFURRFURRFURRfAld5lhgQawF3+fqd5TawAEsLyraAV5aTr2Rac/LV\nynN2P7PyrizwZmFmu/NlPsumnv9bFmZaK2gZ27aLvzWrCC0p/BpPmavgRAt6t5xJrGOu4TnzIllu\nEiJ1t2czxsmyYVbUW7R4E2aVjhXOcmcRlpfKcvoQvI8FaOf/M0EWy7OUsWcWwJlnyUQqYjGaZbnP\nb3nv9BHLzjibeccyri1nxSyANudXuausT82iyeeZsikUYR41ywxPmAV1ldsi8/5SsY+nhPv7+0dz\naIzH/W5577gemwfS9pyAfR1mBsvhtel31m/m8WB7+Jdl8vfmEbJyZgJK6QPWZ+sJH8NzRREZj+xf\ns/yzTMsnY3Mue63tlQTHfOrBZ2MCNLa/Mo9S5imfHdeklMm939p9S3jppZeO/ZJcPZYjjGsYRbS2\nTJIxTmPXvCl8rizT3jUylrhHcLybOJLBchkaS2j1vkns5ZE0kazZnE2duH4ZI8r634Re+BziDZ3l\nl7L7WNmWP4nPJMfMoxSPEvdGe4/guTyTa9lI9SwVRVEURVEURVEI+rFUFEVRFEVRFEUhuIqGN8bJ\nrWWBlibWYMFsqyDyVVBx3HUsOy61WY4nc6HGFUuXvlFa6ErN8cxlu60PyzcNe6PmzQJRU+Ye1WNW\nX3ORWo4s9tkq35WVY4HERmWYjZHA8oLQdR5qXly8t0THu7u7O6PPWOD5TKDAqAg5tn4yysH2eA9G\nYTOKoNEhZq7wjCOWY+OeY90oOpmn5u6fUZNsrqTMVX14beaU9eOM+pD+MGEGoxKOcZoDRrHco+Nt\nr9mbQ0bdfep46aWXHgUD59wWRl0Z49QXpAsZNcjyV5moh4lCmGjHXnt47bbMbdn8v4k5zIRA0gfs\nC7uP5UWxucCxbLldGGCe/zNfjNHXjZJrc47PNm3gPLMyee/kd2Gel9CSZrlxLO+WrfO3BM41e79J\n388okKHEGsXaxhSv5Tg1mrPR5+zd0Z4hYZQ6PmPLrWnX2FwzEZTVXm735jmbSxQYMSrrHlWbe6O9\ne5gA2kp0hXtsxBy+853vHM+Fkrd6H7f9P31y6XtOPUtFURRFURRFURSCqz1LgcmUxsLDL0xahfas\nXPziXQWRmxckX4m0KPDeJne6LY/3nFnDtp41ljmTSM2XuQV8mjWD/cSvepOMtsBz1s2sD9a/gfXz\nGC6jm+NtkHQQaxCtd2mvWZBmQZn25Z/2riwTTxGHw+FsrnB+JJiYFqFZcGWwZ8GaeXfMm2DZzm3+\nWDkroQjziNr/LcP57P+ZZ2Zlm1nhso5xDGbc0hNhc9fWH5uDvJ/JiPN5ph4mCU1wTpk3L5gJPFjd\nVvL0TxkUeIgFl/1uwjx8Vvkt+3177Rg+/gnzQO6JPrBMjrc8q1UAOcvcS0NAi7xJDls6A1srZgHv\nJvySPmUdzbLN52TeWPMEWzoK8/BZ/7FMyhR/73vfG2OM8fbbbx/PxTpvYjk8tmd7y56lrKvxxHK8\nm6ePYy7HTJmQ/rVUKoTtSSuvy+q9zMpcyeLbszURLJvT9n/zYJnMPo/33qXGcEExmze2d9rc3l4f\n2DsH25OyKOaQOfbWW28dz2VMmZeWsGdrcut7qGepKIqiKIqiKIpC0I+loiiKoiiKoigKwVU0vMPh\ncEbboDstWud0U3/wwQfH49AVTJjB3Ix0nZlevbk4Z+44oyhYpvJgFkxt+WqClWY8y8kx723tttw0\n9n/2D9uddpiYgwXms12WU8TybVgw3xgeyGr3zu/YF3QN5xrSQrau8VsKPB/jnA5qdFdmiP/xj398\ndi2xR6kjLg1inQWrZxyuclKkPaucFFxvjObAazJmGPBtFFGjbq76JWOTwfwWJGzufpadOcNyOK4t\nK32un+Urs762/HW2dhkNzyiW1+akeAq4v78/0uVCr7Q10fKDjHHqR8uZtL0P/47xeCznPtxzbKzb\nGDX67TVB0zZuTbjEqEH8nYlCpA2W44TXEHsUcYJjOPOH9bF7G7VqRdkhMla+9a1vHc+FJsTA+Pxu\nRk9OPU3Q49b2seD+/v5IG8/zsnADrtcmahBqf8ocw98nZ8/Q3iXsHcmwykkXzOi2VqcVRdCEXvao\nmiYsNobvy0Y7Zbts7c+9be5bzlWet7Vh1ueZT3/8x398PPfd7353jPE4p5LlkbN3mF+HAFg9S0VR\nFEVRFEVRFIIXlg63L8NYBWjZff/994/H5gWxgM6UPbNCmZiDeYfoycmXJb9+TaLcfmeWOLMUza5J\nPfjFG8sGAxYTxGjWcsJkt2kpMYuCWTBYH7O4mMWb5aTuJqc7hnt9Ug7FCXKOFlrzGpq87cqDcSsw\nOWzK1f7gBz84Hpt3IrBs54RZxVYS5GaV3rMaE5YdnLB5bZY33pv3+fTTT8cY7gkziyTPmwWPlnyu\nL+Y9yDHbkOz1tJDSAm3ry+eff35WH7P0sz22ju1J17Iee56qW8L9/f1RvCF9w6Dy9IfNPf7WJI45\nnmwcsJy9+Trz9O55eC34emY9tnXdrLAUuQgsXYGt9bP5aswDS49h4573NhGLlWduT1iK5XCOf/vb\n3x5jjPEHf/AHx3PPnj07q6/dm31ughRZV24pBQZBL268BuYpnzFbcp7zc0+Gnu9Q9r5k+xOfoa2R\nJkDFso0ZxPFj73ImZW6e/5kY0bZdxIyZtf3/TDJ9L12EvefN6pO2GXOE4JoYdloEVMY4MWmsLTPP\n0t6zM1GaPfxmvGkWRVEURVEURVFciX4sFUVRFEVRFEVRCK6m4W2DO+m2i/uLwY50t4W2Zf+nG5Ku\ny+19+VsTASDo1jMXu+VaMMoX6WG5J8sORcHyBrAstiGBwqTjGI2Ibmfr8xzP+s+ohhaMG3qQBc5u\nf7ttF9vNPDRxl9LNm75i/+XZvfPOO8dzH3/88Vkb6ZbP9aFBGPXhKSP9bXSBPBcKPJDOGRgNdSXa\nYVSBlQjAitpq1DwbT5bXyGhkrKPVl2002ttegPoYp36zecYA5FXAbv7POfyTn/xkjOFiJYSJCszy\nryXInO3Jvfm7rGPvvffe8dxHH310do2Jytza/Brj/2tb1pGsVdyb0g/cC0gxz5jhs8zY47k8g1nu\nOJvjqZfNrTF8zOxlop9R4eyZZ+xxLFvguO2vRv2Z0T5t7zd6tVEaLYeMUWlndOE9Cj7bTbp4aHik\nP2c/Y9m2L9rz4hjJNUY7vjVkDnGNy9zgOa5dRsNj/wVG5+M4zTNhP6/ENUyAao96ZtTOWfn2Xmoi\nDBbWYaJeszXG5rnR8CxX0qXCM0Z35H1svWCfMjddRFSSU3KMU7tnedAMtiZu51ppeEVRFEVRFEVR\nFF8C/VgqiqIoiqIoiqIQXM2tiAvM1NPiAgwtZIzHtIbvf//7Y4zHrr641uhejY76TJkt7jpzq9Ol\nZjlRzEVqilwz19xevhqjMmzbFoQSE5oQ7z1TQAolgG0wxS5zO5tblPTC9C/7YqWmlmfH+/HZv/LK\nK2OMx7r4ltMgFDK2hXXLMV3RGVehot0STYj5zDJXTCGH+czY7z/60Y+O5QQ2/vP8LKcPrzE6yUw9\ny9Sq9kDKHOsRegtd87mnKZaxHkaBtXWKWKkWpW68t1Gk9nI0jXFak9hnRl8wmiMpgKQCRTGI/zcF\noqw1//qv/3o89zd/8zfH41Dy+LxDg8j9/uqv/uqsfU8Vh8Ph+GzSx9yvghUd2XIzce8JZgpvGVNG\nKeHvVvudrfVWpuWzM1rgjJ6T85ybRrW1NcfqdqkS5Rin/YPz9VJ1OVuTTA2S4DOz/Tf15e9C+WX/\nsP8yNvgcLJfaLeFwOJzl6CFlP3OM+8EsT9X2Gvaj5R3b1mMMp3YahXoM31dyzuiiM5qYPVujwtn7\nKMd7xpLRrtkGlmO5Sa1PTfnT5v4qhylhKqz2HLh/ZWyYQq69y64olGx35p/RjfdQz1JRFEVRFEVR\nFIXganN8vg7zpWtBdrRy/+mf/unx+G//9m/HGC5awAD1vYDNMTxzs/1ulck3X8mWmZnWCgtWtxxP\n/EK1AG77vwUHm6V+jJOHxQQwZgGCBsspkr7ilzzLjKWfX/9mYWRAXo75/9RtZTnnNebB+s53vvPo\nr/XJU8Xd3d3ZGDfPWcQtxhjjz/7sz47HP/7xj7XMMTzwnPPM7mNzapZnwSxYmdsWWD4TirD/Z+7N\nrI8WvJsyzdPLsm0dM2sf702LW/rArKEr6z/vk3HP8WxBvsx7k9/yGsu5k/lD7wkD2POcaPF96623\nxhin7Om3NM/u7+/PPLfsr/SNeZty/RiPn2+8Chz/GROrXCBW9qy/zZprc9Msq5yvJtYQcF2w3H+s\nG9fr7X1YDsdtxrXNDxMZ4TUWLM5y9qz4Y5z6w/p+tp/lvHnPVrC1hPfOuCHT5Jbw0ksvHff3PFuO\nn7BQrmE55P/m7Z15dGye2zX27rkSZbk0JxJh43k110w4y+o1KzNIv83mWu5t+U5n19i5/8fevzXZ\nkl1n+fio2pJly7ItqdU6n6yWJRswAocNCiCACxMEF/5+XHHJFyDgEu4giDBCyMaW0LHVrZZa3a1D\nS+jcu34X/3jXeirrmZlVrTZ/7eX3udm5c1VmzvPMnOOdY5jlN78zX5x34gTkyJGNKTEsPWwDmetr\nWSqllFJKKaWUN4B+LJVSSimllFKK8CAZ3s3NzclkZbEjYpqj6ZomsWwSfvbZZ+/c2+Ix0TEAzYuR\nwhzFA6Fpzny0J+3MQ+69cqJgMoH8rW244z1NemHSI4vHxGOaLmNqZV5tEx9NjRbDIxIDppHm15hI\naSpNeimfsxhadNZg6Um+VpuZ3/e+982MOzRIW7skBw/EYgulnNgn/uRP/uR0/J//83+emdvlnjZj\n5c57mwTAJAermC4md92mm/deOTqwOGRHm+v30mPjwsqBjG1iNcmQbQimuX9vXGA5c5yLtJJypRyv\nJBa2OTxSRJb5d77znZmZ+f73v38nXzPnfvbhD3/4dC7ymKTrvrKjJ4E3velNpzkp7Ywyy5Qh45mZ\nvIRtOBJPk7aaU6AVJhMz50QWS81ihq0csph0yBw88NicQlg/PJLCZd6w2ExH7MWUmnHpu0miTGrI\neSbtf8b7YbB4MRZ7iWljW7P2d0k8evTo9G6QPsIysfo0eRTbmcXEzH1WMf1S9pwbTRZoY7a1U5MF\nruS25gDCZLBHc7DJD4/iNZmczyTzJkXci63EdFg58zkmw+f7JCXh6WurOHNbVnLHpMkc6pizpT1q\nWSqllFJKKaUU4UHL8VdXV3dWhM0lJr/UsjF45rxi+cILL5zO5cuPX5DmltyiCB85azB3wRaF2VYw\nmB5bSTKXx+aym+mw1Q5+jefYNtnNnFcFeM6iyHPVZHst78/7ZEMdI9Rzxds2t1pkZqYjK9jctJq6\nZfmZwwne80Mf+tDMnJ05zJzrLPe57ya9J4W0P1thtlXIZ5555nT8+7//+zMz89nPfvbO/WyzK9uB\nrd5wVcY2a5oLXLbrXHNk8eSz7xtd2yzbRxG+t2W7+jt7juWVaWe+02fMcsT2TctsxlOOqzm2Tb4z\n5/ZAl+CpZ5ZFxmf2M67mxcrClfW0DVs1fdK5vr4+lX3+5dhpllfbvG2rvizjo03eZgXMNezj93WA\nYhbR1Uq7rbymba6UEoHX5Nj63srxUTBr0tFKsa3eW+iO1Uq7zemZ++jgwRwNWVnavLhSSlgYgqT3\nyOL4pPLo0aOTFSFjDlUDOV5ZrtOOrV2YcmXljMHG8WB9acYdKphqYE+JwbQRcx5hWLswC/HKdXjG\nEY73eyF4eC8bL0zFYA45iDkbopMqWnHT144sS+bC/chhW9pLLUullFJKKaWU8gbQj6VSSimllFJK\nEV73rniTB8Uxw9e//vXTuU9/+tOn48iDvvSlL53OxSRmZmrem7KVHNP5gcU/svTaZkAzQ1qcDP4t\nzYy2YZzyidzL4qBYnBiaJt///vefjrPRmGUR8/Urr7xy594z57KkFCjmcMofYgLl3/Gg3o4PAAAg\nAElEQVQ5JhWx2D1mWn/ppZdO58yBRkzDfDbzbZveU/eR+B1t9H/SYV9Inr/3ve+dzr33ve89Hf/p\nn/7pzMz85V/+5emcSQRSp5QSmNn7yFmDbew0KZDFPzragG0b0x8izUt++WyLYcNN/JELmzT45Zdf\nPp378pe/fDqOpIEOTtJuGXcuv6/kBRZDLn2Gsh32s/QvxqozeVX6OzfVUvqQ80xb+nba3CXJhB4/\nfnwqs9T/Q5yQmLOOnON4bHOPbZo2WRvPsb1mLDRHQyTPXMUGsnnoyBGCjbXWbk3Gw3kxbYvlZxu7\nic3ZYRUb0dKduuWcEhmeneN5jpcmQcqzV3OSyQYjWec7zSXx+PHjU92nr7E955j5t60QRw5mzMHK\nUdyx1CHrw7ZUmNTrKA7Q0TV78xP/9kjemutXsaLSv/mcSI9Xfc0cM+T+FmeUf2fzGyWteTbnSx5T\nmh5MgrvnUIqwXeWbw+Ka7lHLUimllFJKKaUID3bwsHVvzc11WSH6xje+ceua8Hf/7t+dmduWp898\n5jMzc9s6sY2qPnPb3a25LbfIwvz63XOxbatUq9VEc6eY59hq8PY4bDcWz5ytKZ/85CdP5+jGN26y\nubL1rW99a2ZuW+vM8sTVstyHX/q2omcWI65WZBWHq+1c8c713/3ud0/n8kyu2KV8ueLNtGVV5MUX\nX7xz77SLS7IsXV1d3WlnbMsp429/+9unc5/4xCdOxx/96Edn5tzfZs6b/23DP2GfSh2xTdgGz6M+\nZRaq/L7aFGpumW0zta3omitn62d/+Id/eDr3qU996nQchyIkZf4Xf/EXd87NnNsurcLbDc0z53a9\nci5hm79j/aCjlLgBZzpYJ7kP+1T6Pa22XN1Nmtgucu8875IsSz/72c9Oc1FWNRn2IvXCcmV7M/fB\nOeY1tpGY12Ts5TWpf15jjnvYtqx/2IqzrZpzfLH0sp0EC0dhY8Eq3xnDOb7kmpWDpRzTGmVqELP6\nmbWb48LWTf6MKy1YVuaYgXNbMOs7+1nmSHOAcQn89Kc/Pb2jpEytnDnG8R0g9ci2YOFiorYwB1Iz\n53ZsfY31ulJOBLO62Ny3ctkfUt+rv9tzu82/MwuntVN7p+N4wLLKeybfNy2NR276LcRM5iX2Fc5V\nW8dCM+d6Yp82x25W/pyrM45a2e9Ry1IppZRSSimlCP1YKqWUUkoppRThQTK8m5ubk0kyJlKa1mIK\n48ZzmgITJ4eSob/6q7+6c01MgbaRa+ZseqMZN2ZGmrbN9G2mSZJnm3MD3pMymZh8aUakeTFSCUo8\nUhaUxET+8/GPf1zvE/MiTdUpC4vHxN8pw0u50cy9zd/MbZNtyoCSuhxTEsR6NPNrYrnwXEzw3OBn\n6eBzUgYxr64cezyJUIZnMbHSbuk4g7+nrv/lv/yXp3P/7t/9u5lxqQrlPWz35ghhm4YZN8lv8zPz\nMGcO5qBge7/t81JmbNfpX//gH/yD07m///f//szcjttlG0rZz9LWac7/wAc+cDpO+bOPW1yWwPyz\nn+U5dNaQds/2T1lyyo1jRfoZx5f0s1U8uJQl21WekzZySTK8n/zkJ/PFL35xZs4OUhhjKu3IHAnN\nuKOctCOWU5w9WOwxXm9OjNg32fbSNtlnLBaeSWBXkpXt75QyWT87ktqmDJhvk5/yPplXVzHFUv42\nJvHZJtsy+Y49ZyUNyu+sk/RT9uG0IZPjzZzLgNdkPL0kOTn58Y9/fHI4lPJh2ebYnADw2OrLZKcW\n04/XWNxO1ivfJ+4rjbxvDLqjeIImCzuKEWZO0Y76Wtqc9a+Zc1mzzPfGC5O5zpzLmu+gqc/VO7PF\nmcu2A6YhzpNYnyZPZB1mPE/5VIZXSimllFJKKb8E/VgqpZRSSimlFOHB3vBiXovnGJoEIxNZSQci\nA3nmmWdO5yI5sxgiPEfMI07OrUym5l/fTJcxQ9IETPNiTJfMd0zHlAVGBsPzH/nIR07nUgaUydAk\nGShri5zjhRdeOJ2LNzxKhsxLEU2cyaPF9WDd0ctd7k8pUNLDMuezE0+BcqWco5chmmeDeabZ85V/\nX1PqkwBjUqTe2Da++c1vzszM888/fzpn8XToDS/t7fOf//zpXNoB+yjlX8FiQKximli8lWCe71ae\ngyxfdk+26/SvyOxmzl7uGIcqsgI+j2UQb57/5//8n9O55557bmY8LtqMewwyaVLGNJPZzZxleOyH\nJgFkuWV8oRe/jCscxyyN5mWR6Uk60vcuSSb0k5/85FTHkXNwPE6focSD7c1kLBnXLHbZqr1ZvLPU\n2yq+Ua6hTMWkqxk3bA7jMymbMU+VvMbispjXvWDeHpkmzvM55pxg86JJGk0ixLqxuD4mWbf3ihl/\nh0hfyZg8c67bj33sY/rswLpLvi0Pl8BPf/rTk+Q1Hn75XmDe0dgG8o7Fvph6Mo+HbO/2bsQ2nG0S\nPMdrUk/sAxkX2UfSLizu2oxvLzHMe6RJ3I5imq363fYc2zPL18h4cRSLzaTJrM/0B9Y356rcn++W\nkeHlnXfmPEb/7u/+rj47eWNf20o1K8MrpZRSSimllF+CB1mW3vKWt5y+4OKkgav92RhMywdXKWNt\noYXl05/+9MzcXl368pe/fOccvzDzZc2v/6wO8AvafM5bFG9bvePKn626cSNwrGy0JvFLNyu+Zm0i\nKUuuUn3lK185HefLmtYmW8njCmVWZLgSkHLjJvF8efMLnPW49U0/c/4yt42YM+cVJOY19cRzyTfr\n01aGLHZJfrukFe83v/nNJ0vIP/pH/+jO7//hP/yHmbkdz4xWwLQ3Osz4N//m38zMbQcducYi0s+4\n84ysPB3Fj+AKla16BfY9ttFcz/aUlSmu2NJxQyxpFteIpA0zbldWPWdm/vqv//rW3zEdq5gUOTYH\nM8x3fqdliStl6dsWU4fWWDqSMOcEKSum18rfIrGzPtPnLrGf/fznPz9ZZ2NxTYyymfO4nn9nbq+O\nmqUuK6Vsd6kD1gXbntV1+gzbP1eA037YBlNvvJ852WE/yzXm+IV1bRZgntuLgbaKKWYr5GmDK0dM\n9uyUNcvcrGP2bJL65Gq3bW7nc5JOxo7MMedSqmmSX9aTzXGXxM9//vPT+0vGV47jGbtW/csccuRv\n2bbzO69lX8v4ayoHzhtsH+bEwxwHGEfxycLqvXXP2Zn1ydV9bC4yZxg2lxtWN0wPrTs5Nisby8fm\nVj4n9+FcTXVN4Lu3xZfaxtWqZamUUkoppZRSfgn6sVRKKaWUUkopwoNkeL/5m785//gf/+OZmfmD\nP/iDmZn5i7/4i9PvMXU9++yzp3Nf+9rXTscxRVNO8slPfnJmbpvTIkNbyYNsc1nMizR920avo3g8\nuTdNk0xvJC+UayRf5shgxuNxxPRHCU7M91/96ldP5yiFiyyKJtmYLikNMCkEZT+pJ8reckyJH6Vd\nMWfSbBqZHcuHm3EjO6R52yQeKWvKH2gaTZqY71yTMrkkedBv//Zvz5/+6Z/OzMwf/dEfzczM//yf\n//P0e/LOtsP+k3phecXpAWWd/+k//aeZuV2ntvGc7Yn9K/D3pI3PzrFtEue1TEc22mecmTk7g6Gk\nhXI09q8QWQHzlU39n/nMZ07nKNVIOldxUrZ5ILYJmGWWfsi+F3nKjG/0NpkvHRHEOQHTa+WbtDGN\n1g8txlnkK/eVaTwJ3NzcnMoidUCnHiljykMoE0p747mUD6VBqRe21TgMmTmP+5SsJ10cBznOpn2Y\nbIvtLfXG/riKYbTNw2quNPn6nvMQthmTxR3JkkzqxDyYZMecq3CONMcXFvuFc1dgmaVuWQ+JHck+\nzrJMf+b8ulcWl8DNzc2pXead8Atf+MLp90jHWUfmfMPeNSiTjfSc9UbJf6TrcU41444Z2H9TJyYX\nNVkbsZhIdm7FfeMW5ngVT21PCm/vVfzb+8aAsjhm2/sHk9nbNRx7I9VkHv7Lf/kvM3N7jPgX/+Jf\nnI4zJnBsTTu8b1ysUMtSKaWUUkoppQgPsiz9xm/8xvy9v/f3Zua8mknLUr6suVLKzVhZJecKUCww\nf/Inf3I6l5UH3scizZvbVIvey+v59Zpr6EgiX/1cpeVxHFv84R/+4elcLEqrjeV5Dh0qZIWZK4zJ\ndxxlzNzeMJ6vbNt0ynxxdSAr6vzyNutZVrm44sLyNVerWdlJW9geZ5WHKwG2Ymqbes11J61eOb7E\nlbi3vvWt88d//Mczc14VM4sO6+pzn/vc6ThWJDp4yKrPP/tn/+x0Liug+XfmtkXD3BObq2HbIMrN\ny/lbsyzxWq7Qx4JNBxfph3y29XeOFek/n/3sZ0/nUlbsE6tVsZAyMGv1zHkMYXpyDZ1qZIWL7ZtW\nr4wbdHUeCwdXUNnPzPV+8mblY5YHpoNpSz1av33Subq6OrXn5DnOhWbOG4XNccaMrxBnjD5yamNW\nQK6yps1wbuI4mnHY+qFt8uZ9OM6mvVn75zx95BI8z2Yfz+8r9+f5nWOOqUaYR3M5bE5nkp+VVTDp\nYB5zb3NFTTgHpk9yrM24zHmcfSpWFFqWUg+0nFwSDDuTtv2Xf/mXp9/zDkXrK/uDuYdP3bFe09c4\nVrL/pt1QiZH0cFxkO0574Dtdnm0hTlbWJutrydeqj1i+99z0H1mBiIXg4XHyaM5q2CfNhfvKfXpI\n3a6camzTOHMeP+nAIZal//gf/+PpHN8To7Lht0TKN33tvpa+WpZKKaWUUkopRejHUimllFJKKaUI\nD5Lh/dqv/drJhGx+5mOypqyEMrxIUChHiAmMPvf/4T/8hzNzezM6Tdox15mJc7XpNCZJ24RHc2VM\nsTQJMj/5W4skTSh72NuQbzGpaIal3CDPsc3zhCbk1I9t3KM8KGZKmnYp9Yl53CKrWyybGY9PkPub\nvISSIKbNfOVvZUaXJA9685vffEs6MOMxx9ju/vzP//x0/Gd/9mczc7vtpF/QCck//+f/fGZuO2Gh\nfM5isOQ+LO89hyv8nfcJvA+lKtyQub3nSoaX+7Od/Lf/9t9m5rbTmZSbOULh9cxXZAO8hu3Voryn\nzii/jfSGz+OG8tS7xWQz6dbMeUzjOJVnW5lTbsJrkh/m66GxKJ40tpHi2U4i1/zgBz94OmfSVou3\nZfFBKLHiOBopOuOmZV6gfITHqSPOZ+kLHI/3NnbPuEOWYLIYPoe/5znmwIH3tk3cLL/8zvnV4ugw\njyYbzN/xPlZWJuEymTuP+ZzMi4wdmevplId9KvXI5+R4O+5fCjc3N3fibnELwv/+3/97Zm6/B3Jc\nTH1b3CJzhkM5H51t5TxleHGwwlhZlHLZO2PywPYVOL5y/LX7pO2azH7GnanYHBzY1yyGocVC4rzC\n/pAyZ/+zmEkWA8uebVs4+DzeM/lgflIWHI9Tt//9v//307n/+l//6+k479xsSznOuxC3IexRy1Ip\npZRSSimlCA+yLF1fX5++BONql1/O+dLlVzJXD2IpinVqxjeZxV0wVxm44mcrXraZlOmwVfKsCnCl\nKCuyXHGlVSv5oevwfKnaChnTwQ2dWTnkqnPSYxu2mXZbTefKoW0wpOvwPJPpycoqV2T4BZ+Vbsuj\nrcrPnPNNq0jOsR5sdZN5zD35nK1LyEtyaTxz18W6WQaZZ/aP9DPWpW2C/tSnPjUzt+vZLLi0luSY\nq0BMW+rF3L7y2baSzbbz+c9/fmZmPv3pT9/JA1fobCzIKuXM2QENN/wmjez3XCFMG+UYYBYankt+\n2PdipWMfz+9MD61IWVk2a/XKCpd0mFMUkvbCVW6zJFp9X6KF6ebm5o5bapZb+hRXnN/3vvedjjNO\nsy+kPG2Flm2MG5tjlWB/Nas922tWTFmXSYe5D7axc+Zcv7zG2jL7nCkc0t9ZFilLc7zAdJhzCa5m\nswz2NsnbyrZZk3gfXpMVdtYT+3jSxjaT+1vIDD6PoQnyTPb71P3KmncJpCzTRjguRoGUcX/mdl9L\nfR+10xyzXmlZSr9k2eeYdUgrbxx2UO1g7uyTL7Yfps0sqabKIBYCwpw+mCXGLLrmLIX9i+NWfmdf\ntBAB9jzOIeY0zZQalh+Sv2U9pW55LfuaOaTYKjVsrjVqWSqllFJKKaUUoR9LpZRSSimllCJcPURW\ncXV19dLMPHv4h6X8v+cjNzc3Tx//2a8+7WflV5j2s1L+39C+VsrfPPfqZw/6WCqllFJKKaWUvy1U\nhldKKaWUUkopQj+WSimllFJKKUXox1IppZRSSimlCP1YKqWUUkoppRShH0ullFJKKaWUIvRjqZRS\nSimllFKEfiyVUkoppZRSitCPpVJKKaWUUkoR+rFUSimllFJKKUI/lkoppZRSSilF6MdSKaWUUkop\npQj9WCqllFJKKaUUoR9LpZRSSimllCL0Y6mUUkoppZRShH4slVJKKaWUUorQj6VSSimllFJKEfqx\nVEoppZRSSilCP5ZKKaWUUkopRejHUimllFJKKaUI/VgqpZRSSimlFKEfS6WUUkoppZQi9GOplFJK\nKaWUUoR+LJVSSimllFKK0I+lUkoppZRSShH6sVRKKaWUUkopQj+WSimllFJKKUXox1IppZRSSiml\nCP1YKqWUUkoppRShH0ullFJKKaWUIvRjqZRSSimllFKEfiyVUkoppZRSitCPpVJKKaWUUkoR+rFU\nSimllFJKKUI/lkoppZRSSilF6MdSKaWUUkoppQj9WCqllFJKKaUUoR9LpZRSSimllCL0Y6mUUkop\npZRShH4slVJKKaWUUorQj6VSSimllFJKEfqxVEoppZRSSilCP5ZKKaWUUkopRejHUimllFJKKaUI\nb3rIHz969OjmzW9+c45nZub6+vy9ld/e8pa3nM7x91yTf/k7/+7q6urWv1vyt7zP6m/ve8+9+9zc\n3Nz5nedyvLr30TP3nmfn7Xc+4/Hjx6fj11577V73t3zxPqs07T0vx1Z+rG+79kc/+tHp+Gc/+9ky\nD/n3Zz/72fziF794WEH/isJ+lnJi/ea3X//1X+c1p2PrHznmfawuHvK7sdfPHtIPjvrUfdJwdO+9\nNr393f521Vf2/u713NvSe99+ZmVx1M94Te6Za37+85/Pa6+9dhH97C1vecvN2972tpnx+eyo/ec8\n6/7nP//5zBzPGb8suafNgTZuW7/m8UP6vbVHa/+vJ9978+vqXvdNz5ve9KY7xzZursoq1/A+Nq7m\nPkzPL37xi9Nx+hz7nvXhl1566eWbm5un72TkCeTXf/3XT31tb35aYW3byuxvEmsrR+9I7EP2zhPY\nfo76dI6P5g1Lx9H77dG7o11zlO+8r+Tf7e927r59zfJjfe3//t//q7/PzLz66qvz4x//+HBOe9DH\n0pvf/Ob50Ic+NDMzb3/722dm5jd/8zdPv7/nPe+ZmZmPfexjp3P8Pdf81m/91ulcOtCv/dqvnc7l\nJZDnyG/8xm/MzMxv//Zvn87lb1eNNx9wrLD8fvTRxXumQu1lZdXhjwaCLavG+9Of/nRmzhMy782G\n9uMf//h0/MMf/vDOfWxCT7nw71599dXT8baBkZ/85Cen4x/84Aen4+9973u30j1zrlu+6Ifvfve7\np+PPfe5zp+OvfvWrM+MfhHn2F7/4xWX6njTe/OY3z0c+8pGZmXnrW986M7fr94Mf/ODMzHziE584\nnXvHO95xOrb+Yf0sdZ5nbH/PMRc/crwasGxBxF5MDGv3HCztpcheUmyCYn9NW+Y5G/ztGsJ2nzbO\nv8uz2V+TL57jc/I772PXpG/NnPsNf0//YvmlrL7zne+czn32s589HT/33HMzc7sN5AMqz3j++efn\nUnjb2942//pf/+uZmXnqqadm5va4lLbOc5w/MrdljJ2Z+da3vjUzt+sv1/CcvYiwf1gbJKkj9vE8\nhy/h1o/4HFvgtHxb2riIxTlne40tds34R1muYVmxn+U8+33aPZ+TMmC6U8cz5/GS42bGQbZ/lluu\nf/e733069zu/8zt3/i7lxnmPc9tnPvOZmZn5X//rf53OpT8zr//23/7bZ+dCeNvb3jZ/9md/NjPn\nfsP3wJTjal5JG2H55P2E9W4f/za28z3H5iX2u9Rt0jhzbiN8NsffwH6Vedk+FNjmWC45z/6VF3/2\nERsvmMe0baYnv6/6cd7leM+UK/Nq/du+C973vvedzqUsWE+85l3vetfM3O5rGevso4tl+sorr5yO\n//zP/3xmZv7H//gfp3Mvv/zyzJzL7N//+39/J/1GZXillFJKKaWUIjzIsnR9fX1aoc4XKlel8+XN\nFSke5wvdVpJstdhWwLb3DPm6XZk9c0+uTOSZ/KrfM1cSriTZ1y3ZW1HnF3qOuSLA5ySdRxJAXpN6\n4nOSTq5M5JjnuAqRPLD88kw+j/WUa3jOVs4NW93jNbaycylcX1+fVl7S1vP/mfNqi1lWZ/bN1Wbx\nsf7IY2u/q/6R9mhty9oy720rc3uSsC2WzvtKV+08++GRrNBkP3vykNUKquXR5CY2ztl9juRIsfbP\nzLz00ksz42OFrQQ+6dzc3JzK1tpUys6s8jPnle0jyXDGTFoaOCburTiv+qbJ1fLslcXUnp0x3sZb\n66+re+5JQYnNXTbm7Mlat2kLvMbeEY4seymLvOPMeB9nG0ge+B6UtB1Z1CxtD1WhPCk8fvz4ZLVI\n+bCck/+VNdPK0lQDNn6yvNOOTbFgf8dj/p70mLqA19qWFLv36p15T95q44XJ9WbObdbanrVnps3S\nYDI7wveV1AXrMJYj9hv2z7QVWrryt3vz/PaaHB+NifehlqVSSimllFJKER5kWbq6ujp9kecLlV/O\n0Rzya5HHuYZfkPkap17RVrbMSrRaaTXynCOteI5t5YrPPlpVJnur2rahbmVR2147c14VMAsV72mr\n5JbH1abUpImrHntlOrO/YdauYR2+853vPB2/+OKLM3N7k97W6nFJK95XV1d32iEtANE0m+Vvxsvd\nrJ97m5x5/ZGzAbNocBU9dc302rN5vLd59/U4UjnaIGvXWlkRs6LafWy/xwpbNbzvmGV7vngfe7bt\nxzHLUv7uaJx90tjm52jDMI+zUsq2bpZVW9VlX8gKrrW31cbvPJurtaYOsH5mK9+2sr2qa1tV37Os\nrhyT7I1TK6VEOHJeY04WCB2WBHunsVVs1ndWrjkW5D6sG85dKSu75pLmMXJ9fX16F9w6epg574+h\nlZb1kDbNckzZsz7SVmw/Np/J9n7kcCJ1QotF2j7bj+3/o4XF9gBb32e7sX1Fe+90bD/sa7n+SCXC\ncjHLkimDUgZ8nqmJWH6pM+4Z5Lhk1qhcc/SuY/vRzJJ49N6+5bJmvlJKKaWUUkp5g+jHUimllFJK\nKaUID5bhxVS2NanOnE2OK1fcOTazqLk2XUnCYqKj2c5MauZ+1zammRRuJYOxPJi80CRFR+4qA/Nt\nMgGTMtw3TsHMvnl1lY480yQpKxmela9tprRn0xycdkXZx/a3S5IHsZ+lX1DOmrIx2QmPrU+tpK3h\nyM3qfU3Y95XPrVz97zlNOaprk6OZw4RVf9yTB63Sa+3apEDmaMNCEzzEsYXJP/bkfBy76CQk7crk\nrpcow3v06NEt+ffM7fE249tqnjE5Wq43KRznSh6bVM7G+iPpsm0Wt5AZNi7wPiZTZbmY/MmcNZhD\nBJPXmXMakyrNuGOgPJt5PAolYnN28sX2z/bBNG3TY5JEK7MZ3+j/y8SVexK4urq645CB5ZO2wDpk\ne0+dMDRJytz6AMuWdRgJuzlRWDkByHPsd947fZquv03uR/bmpxl3+rU3Bq/CzuTYHDyt7p1jkwDa\nO7y5cOfvzFfqkWXFdxy7Z+rBZLnsx+y/wUIjcPy6D5cz85VSSimllFLKG8iDXYfn6y9uwhmoi6uU\nwdw98+t2L1jsaiXVVobvG2zMLEtHK+wW+dvSu3pOvojtS9828FogSV5jX/8rV9y2+XVvFdw2rc+c\nv8ItQCAxt7RHLixtMzPvk2O2h6SDqxGXwqNHj+644bdAdSu3wimvX3aV0vpU6uDo3raSvXILG44s\nLLZ598hxg20y32v/q7TtRTNfsedUY+WcZs8t81GAUqsnGyMtsOrMuS/FhfjMeWXPXDFfAltHOywv\nc6ttbna5QpnysmCLqwj25hTCLPl8jllgLMzAntWKz+a4fuSS2MYAe07KYuVkYc8xw8oCbk4srF2b\n+24bK1ZOGMKRq+U806xftCbRcYG5Cbdx4dLYuoVnXm3MNadV5tDE3N6vnIzld46l6VcWzHnG1QCZ\nn/nOa/2cJL28t6lzjixC1m/2+sWMK5Aydhw5SjOnEeasZuXwxRQW6Ru0FJK99mAKI/bd73//+3ee\nY/d+qEqilqVSSimllFJKEfqxVEoppZRSSinCg2V4MfGbyd8iHR9teDbzYEylqzgnOW8btFbSmpgK\nTY5wFFtjFXNpL7283p5jpkA7Z2mzDYArk7Y5rNiLlXNUd6u4H9v0EEsP85Df2ZZo3s7xyy+/fDpn\n0sZLgXLXPWnNkYMHsueY4Uj6cRQL7Khd70mBVvLRo6jh9uz7yg7t70x+apKilVTUJKevp59tr+Xv\ntpF5ez6kf7B8bazlfdLPKLkzGcMlsZXAMe8mubZ6szJeSe6CSe5MivMQRyp2jbXb1bix/d3kekzn\nfeMarSSue9cczeMcD03WFUnVak42JwM//OEP75yzccEcPllsplXsw0iG2LfS1lbj4SWwbVdH0jKT\njLGcTX5p7yQmh2QfyXskJX68Z+ZijpXmZCn3Xs1De/HwTPbHvz2KT2bxNi0PtsVj5RzM5h2TsNs7\npknlTIZHyZy1B77j25adrbRzxuOMHkk+70MtS6WUUkoppZQiPMiydHNzc1r5MFeh+Yrj17+tsNlX\nKb/+LcL1rUSLpcfOmSvRI7fl23RtSdr5pcoViWAbyu3ZtnK4il5uZW6r9vYcs/jYKjjzYpspV5Gx\nt3+3Spu5hLT0cIU3UZ65GT3Xv1HODH6VuLm5OdWXleHRyog5Ftgrn9Vv5oTE+plP2kMAACAASURB\nVLCtqpqly6wlq1X7/O1DXIeb5cQijttKmK28W99jP7JVTotsbn1vtdp+3z5+3xVoq4eVFdKc9uQ5\nR9b1J5Gbm5s746/VOTcP2+Zrrjhb2zGLhLnEXW3y3t5ndS7tbGX1tXN2T1s9tr7LPJqlxlauzYWv\nPZvYvMBxI89k+Vl7PVqxtzy8+uqrd643K5u5ql45bkmfMiv163Ek86SwHUtW7cuwdzWz+By9k5jF\nPX1x5TrcFFPmIGTPadeMt90jS2zuZdYSKz+zfs2c2+TKeZidMwuzvbfmd3unI+aga+W23Bx32btF\n/u4hCpPX+65Yy1IppZRSSimlCP1YKqWUUkoppRThdWsrYlKz6L4rxwwxP/KcRTDe/rY93ovYbfIV\nnreYSQ+R4ZmZ9yhuy16+uYHNJEO2Mc2eQ/Orpc1kACYFWkWrN0cSJrMwE6dJBE2myLJg+ecayvAs\nsvWl8Pjx45Ms1eLbmByE7MVJWUW03ztnsq1VHJQ9aattzFz1mT1Jw0o+Z3KnPZnrqp8Fi99hzi62\nedvek79Z3AyTIlge+Tymfa8PHMV4srhC7GeRoO05w3mS2Uq+zSHAkSTbxvqjOGJHMVLMaYGN8dZ/\nzAHBkfSOWB+29npfJy4rCfF95VhHcZ8M6498VzF5kz0nTh8Iyze/mxzSnPIQm5MvVYZHyau17WDx\nj2bO2zSONu/bdgKS63lvk0mbPNPkc6s+bdhWhqO+theTy+S/q5hJNndaPdi8Y/O7bb85ksLZ3Mnt\nN+xreQ4dRaROWV/ZosG+xvTac47kgitqWSqllFJKKaUUoR9LpZRSSimllCI8SIZHedDb3va2O7+b\npwwzP5vp0jy4reQ25l0r5rqVR40jWUSIafPIO4vJEng/k0yY/MXkTDQzmumSZZHnrDzv5Ni8PJnv\n/pWMMRIdy4PJG3hPM+MeeQG02CWMvbQ1t79e3/m/ijx+/Pgkf4qZ+cgUbh4HWcYpT5OEWXvhsZnz\nzTPQzL73PvYJizlhZnyT+qzM/dbWzZubyfBMumTnVv1szxPfUTyylSzOft8+j8csX+vjycNKipn7\nUIYXz3gWr+dJ5+rq6tQfIuNgXUWqs5qH7uuR0CRfq+NgcxzbcOra5o+jucu8ufHcXkxCnmc7slh5\nFq/s6NlhJfM1OZFhfc7mFKvPlfzftgykrBgvxuZFjrvpXzY+W1u4BNjX7J3FtiXYFgVjL67gjHu5\nO5KQcgy0GEVhz5vk9thkeFYWxKSs6WPmdXo1r+zxkNikwd7hV1LC+8Y6ouQuf0v5XN6JjqSq9x0v\n7ls+p/s+6K9LKaWUUkop5W8JD46ztF1hpPVmb8Vgxr8I7esuz7AN1jMep8BWcW2jN1eXjla39ziK\ngm5/axYjW61YRR23jbW2mmirJrY6arGtLP4A0360+m9YG7CVIq6U2CY8i6dwiRvP2c9sI+leDCL+\nfuR4Y/v32+fcN34C6+0hcZG26brvSs9q1XAPiwvFc8yjrYgftS9zbrNnhXuIo40jS7s5cTmKbL69\nN69hP8v4vue44Enl+vr6pJBIns3ZxsrpTeqATljMYpHjo/tY3B1TEfCZ5sjANqev5qu98XNlwd27\nZhXDK5ilhufMGZIdm3LD8s0+wfZvTo724srNnC0dnDd5vD339NNPn8499dRTp+OoBd75znfeec4P\nfvCDO/e7BGhZWsXPnHEFzIw76DIHOubk5yjmlo3dtJDafLFn6Vq9T9q7mqk7eI318z3nJQ9RiZga\nwuKgmWLBLOP8O75Hpt/Y++8qdmD+ljHubB60dsG6S1+j5Xf7znD0/nr6u3v9VSmllFJKKaX8LaMf\nS6WUUkoppZQiPEiGd3V1dcd0Zz7NV/KW/K05czDJnJlPZzyuUf6WJjhu0rPNamaaNJmYxUc6khPY\nhliT1lgejuQ2Vn7cDEn2HCkcmR9tU/zRplQzkfJ3k26YzMvM0pYXK8dLYCsBMscCK/lc2rDJV0x2\nsoo3tCf7PJLJHKXXTOqWDtucu5Lu2XOsj5vE6ai/WlkcxRzbkx1benifo/Z/JG++r7TAsHoyKcqT\nDqVBezG6Vm3U5rP0VxvXVxLGPNPkMCtJu8UItJgiR/VlsrdIL1eSuj3J3ipOzjbdq2fbPG2ycosx\nw+fZXEm55J7sfCVpzzWcz370ox/dyWPSznmNdfdbv/VbMzPzzDPPnM5FJvTiiy/eud8l8OjRo5Pk\n1WLW2bzCurO62XMOdrQtYeV0JFCOtuegh+3dtiowbTaG5t4rmZ2NA3km23vKZzWv2Hhh0mr2kT2p\nL+sujhmOJIBH7/jmbIV9Lfm18uW7Ph2Bvf/977+Th7e//e0zM/Pyyy8v82fUslRKKaWUUkopwoMs\nSzN3v4TN0rBa1bSN0/Z1m69NWzGY8U3vtspnmwGPNvDaCpmtcpnb2KMV76PN73uWE/5+tMHdnGHY\nhnJznbxaFbENebmPbQCc8dUOWxWxMifm6vmSub6+Pq3q7K0wH7lHtdVtc8l75KLfVs5XK2H3tfSZ\nJYZkRcmsKUduVu/rhORoMzp5PRHb9/7ONqMTW3FbrVTnb1cre1vYj2wMYHrM9folsbVA2FhvK9Mz\n5zowd9krN7rba/m3vE/6/8qqZW1q7zmrtp5ncgznqro9zyy4lkazFpiTHltJX6382+9mbcr4wT7D\n8t1z6MHy4T3TL2hNyqo60xPLHJ/N+S7peNe73nU6Fxf9sTpdGtfX16fVfxtnrK1Y+7L56ch9tzlJ\nMbfbK2tmMAc55vSB15oL8oeMMfa+af3PrGx0vrZ128502Ps4jy09Zh1bqU1sXraQL3x28vvDH/7w\ndC4Wc947/c/65My5X33gAx84nUu/e/XVV2fmdjntUctSKaWUUkoppQj9WCqllFJKKaUU4XU7eIg5\nzza4rUzotuE/5jiawu4bt8fioNCsTjO4yUhMSmh/t+dTf3XNUVRy+92cXVgMAebLYk4RM7VaXAHb\nWG6+9E3aZdI7po1YtOfIEmyDLu9j8qFfZiP7rypXV1d35CYm2+I5k5KuHBjs/Z3JdY6kD0fyr730\nPCSKtj3b0nGUb4t/xPtYf9+LBE7M2Ylds5Lh7UkoV/Gu9jY1s5+ZtNFkJCv50PYZTzpXV1d3HJIw\nfyYTMxmL9T2Se6/mEbtPnsm2Y/I4k6kyvSbxZFuPTMiktKuNzxl7re8xjSlbbho3ZybWX1dt1GS1\neQ6fbc4Y2K5N+p2/XcnwIgNiLKQ8h9KfxIZZxWPKfMfnxPmB1fGlsK1vG8eP3h1tLLWYSSav5LE5\nQmBdH8new5FzErb9vOMeSdRsy8mRM7MjhybmeGmbhu3v1tdsbEg6Vu/b9s7H+EnB2r7FHbN3VM5T\nPI48j+mNA4jEQbtvn7u8N81SSimllFJKeQN4kGXp5ubm9CWXlRJbMVm5uLWvX/uytpXf1dfv9jlc\nSTJLjn2hH63a29e2bdJbOXiwL/S9KOgPsWTZfaz8bSO3uR/m3x2lw7B82zmzxrHMuVJn6cjqgdXX\nkw77WVZGLKI4zx1ZbfZWx1abS60fmvXYVvaONpKmna3cn98Xs2qxDduK2p7FjDA9R2OS5WfPYcLK\nGmcuVc1Ji/Uf24Bs9WljMtNpaUt/fD119KvMnoXT2gT7nM13Vgd7z53xeSjpWVlR9yxGtqF9ZRG1\nTdx7Vmj+7ZHTD7P4HDlasXna1BVm7bPncJWZq9l7/fXI6VKsQDPnDehHFtejurt0Ryozd8vSnHSs\nHJFYu7E6tL/nXGQOio6sLfbOYqqa7W/b5+w5WVqN7aYQsPSY6uLIyYw5LbLwBWY5Nyu4Ob/hsfXp\nVXpzDR08mJrN3m9trOL7ZMboOFO577tjLUullFJKKaWUIvRjqZRSSimllFKE123zjVnL5FIrWc99\nN3QaR/EbLBbPfWUpTK9FZj6Sv1iEYpLrj2I6mEn2vpvnV2lMfuxaO2eSoRk3m5psx0zQlGqa2dTa\nEv3mrza2z+zn70nl5ubmlOeUA6Ufe/KDmX2HAivnIat0zDws1pFJWcwxibGSHG1ZyZ7M3G+Suz1J\nIq85kgwdxU+yfn/kfCP9Z89RwCptNm6YNHjlwMH6Uu6Zv7ukfnZ1dXXqAxYLL3Wxcv5h84fFRTFH\nESYDsjpdxYvZ6x+8Dzd52z2PJEh2zsrF0mPxV47Yi6NEbB43aTzPUTqUcrH+sarv1BnHnMiEKBcy\naaeNCyYRvFQHDzc3N3ccg1g7W7XNlL2Nm0fxmkwyZvPB6v3tSBK7ZfVb7m/vrSZF5b04Xlh6TMZo\nfZbYWG73PIqBanOaOYAgcSyzKqu0lcRJmjnL5sxRy8qxm41B6auvvPLKnb/fo5alUkoppZRSShH6\nsVRKKaWUUkopwuuW4e3F5KDp32RbNHfGjEaznclkjryTWJyM1fVhT3ayMgebTO8o9sqeJz7LA+9n\npuEjL1z3NRdbelbP3pN2raQ55mHPZFF7z5g5tzGTfF6ad66wjblF6YfFnTKPjibbOZJRklXsru01\nJi81qZyZz49i1Bx5+TuKqbTXPo68V9rvR17sbNzg2JYyWEl09jz1rfrHnlzSPF7yeayTHFvdXaLc\ndeauBIft0crrSPJjMso9mRj/1mSUq/Zr0r69mGIrb3d7UsJVW7ffTZ57FEvNpHIWa9DmwCP5ukmr\nVh7StvD9xeJucSxOzBbOTbmGf0dZuT076eTfXSp7MR1X7dTGvvvGXrI4kNZXrB/z/kfnLD0mwTaJ\n4MoLsc3lezLP1Zxt47elx+SJ9x2XVu+gkZYexXCyPv+Od7zjdO7tb3/7zMy8+uqrp3NW9+xD3/nO\nd2bGY2jZXLxHLUullFJKKaWUIjzYsrT9krOvQa5WcnO/WZH27rNaVTMrSL7Mec5Wsi1CtPloX61M\nbP9u5vzVumfF2bK38Xy1qmarB0fWgVj7zM/8EfacozhMton5qL6PNgja9VtrxaVZmLarRxZpflUX\nZuWwVaI9BwQzbtEwJwpHKzNHDlCCWSBtc+lq9cxWt62PWzqsPVoeVum1WEh7q2+2erjKg6VrZaXY\n/u1D0rgXy+TIKcaTyGuvvXbaWL9nLbGxfsZXks2KFGyFO+nYXmMWIRu3aQXJOGnpWa3S23NybtVn\nzMqa3+m0YM9yNOOr6rx++7zVOZsfzNGGOed461vfeuca3s/GBaYxG9XpgMfyzfJP3TNteU+61DhL\ndPBgfe0oXqJZnszRgd376P3uKP6czYPm6MCckxw5Udizis74u7C9Ox45+tq7z5FaguNO8khHJEcO\nMuw90MbHozEmVlx+U2zzMnN7jM7ffu9737vznKPvjDvPuNdflVJKKaWUUsrfMvqxVEoppZRSSinC\ng2y+Nzc3d0xtNK2ZCZkmvBzbpu6juCHbdMzcNofbZjViJsI9f/+rTXpmqrcNnZZeM7WaOXIlMzJH\nEXYN8xozJMvKpGsmOTkyJ1t6juLZ2ObEpIexKvh7/Ot///vfv5MGmtgvieTLHIGEVSywvXZCzNR9\nJCM7uueeEwZzLmESiZl9mSo52vy9d+1KqmEcPTtt2ORVJqVdyQb2Yp+t5Ll70rhV3QbKKXJPnkv5\nR8Z7STK8q6urO+3MnFuw77F+Tf6V8dbi86ziZEVKZxI/qwvek79bTKWk/cgJz5GTkSPnKRY/z6Sg\nLEuT7ySdlpftM8PWCcn2OUbKz2SMrAc+L3Mo20BkfEfyMBv7KCeKTOhofH1SYexA205g71A8Nrno\nfR2s2DsN69jiCVlMLpOq2naBVZwum5dNhmfS0SMnStbmjqTyuQ/HEJPu2XaXI8dBTEf6COMt2dh5\n5FDJ6sGeZ/VkW4MeKi2vZamUUkoppZRShAdblvK1ny/DbHAkq2jEhm0iyzlbReDv/BJdrUQFcy5h\nqxm2addcdR9t0jty7x34bNsYSsyilmeuIn/bSoutyOTL26Jd83d+oeeZXAnh73sb+4/q2/LAaM5Z\nifvud79761mXwM3NzSk/2TiczY0z53pZOQk4cvoR9lbTia2QHrkbP9qsaf3MNpoeuVEle44tLI3E\nnr2y1hqWH6sHW83j77HgWH1anyFHIQfMYsA+nv7Fe8f16qX2s5Spbfw+2jS9Z5k9cntsTiNsLuW8\nxrE57cf6h62sErP+HDnhYduzjdF7ao+jEB5H9zFLjz3HrAGrfpY64TVZAWc9MG1ZkWYe0j+OnAyQ\nnLeQJObg4hJ4/PjxaWzbc4xy9O54ZFG3smUd55iOPXJu5VRqzzJ8NF6Y+sMsXSsnC/buaI7UzDGQ\nzQFHVhd7BzMruTlyIeZ+3+rE2gCxceAo9AHHKhtvUqZx7nM0t4dalkoppZRSSilF6MdSKaWUUkop\npQgPkuE9evToJAd6z3veMzO3pVExb63kImYqtJhJYWWaNKmPSV5MbmIb2CyWwiqqscWTCCspoJlS\nIw84ioVD9hxRrOKl2EZEMyHbBm7b2Gexq7hR1eqE5tWU21H58T4pK0ZzzjNfeeWVO3l50rm+vj6Z\nnCPDYxwP20x9JJMxrH6OZG8P6ad76dmLe7Z95jZtq43ye5thLb0r5xH2HJMAWPnaBvajmDBHkjuT\nCdi4Ye3B4iytNj+nn73zne88nYvc9eWXX77z9086jx8/PkkxgsmQWc/83TCHRSYVOYrZknOUhJmz\nB46j5jTF+jAd6eRvOfZunXrwPsScFvCa5Gcli92Lk7Nq/3vOazg3pVwot7KN7D/60Y/u5Mc2/zM/\nrKeUW5wQbdN733MWF+rS2Isht+esYWbfGRex9zeTr5pjFPYBe/8zeZxJvszxD//W0sZ+Yf1uT062\nTVs4ckpk8aP2YlrybznupCxXzt725iLWg42PHP/y7WF1w/Jhn86zWaYZ/yKhvW+fq2WplFJKKaWU\nUoQHW5aygpKVbroD5Ndb4Je1bW7Ol7Wt4Kw2bQVbsTULyio99lWae/Jr88iZg60YkPtuIMuzWY5M\nW1bJuFq2t+rBZx9ZfCxq+9EKpUVB50qtuXTdug/l8ZFlgStEsTJl5cHq+knl+vr61M9StmZ14+oO\nj1PeLOPUpa0cWfuecQcdtjGT2AqXrbYfub/f23BPzCJ034jcq/sEG5OOVsmtDVufOXL7fl/rGI85\ntmUMMWcwR6uzHNOfeuqpmTmvnK+czzyJPH78+I5jG3O9uwqnYBu6bTzO8SqCvV2Tv+WzWb92zpyD\n5BznFIZgyPVcwU27t+et0mZ9L/P8yp2xWRPMYkb2nG5YeldOKrbp5vVUSphbf3MIxfE5aecKN9OR\nvzUnUFtL5yVhY+QeNvbb/GRjrlmTZrzt7r0HzrhDhfQns2Lw7+x3szqvnr2ndLI8HI0x5txlpZYw\nS1mwdws+z1zAW19cpdfm27zzRdU2c+4vTPdRyBsbQ+7D5bxhllJKKaWUUsobSD+WSimllFJKKUV4\nkAxv5u6mMJrRbIOpbRg3GQA3sJu0iqa1yERo1ouZ0iRqTJOZ75kHiypOLBZSrrEYQ3w2r9mL9L6S\nySS9NDHb5jnbEGsSQYu4vNrsb9eY0wymI3IESkBMhrcXyX3GYyMk3zl3aTK87abTo4j0Jr0xKZBJ\n7lYbmvfiBK02upukaG9z7irq9zbd22O73qRAe5uKiUUAZx6T9tXG87Rrk7GarILnbBMwyyrpWckG\n9uJTWDwMjncmi+L9tnG+LkmGd3V1dSrbzCkmU91eE0z+lettIzXHL9vMbG2C9Ud5mMUnjCSFUq5s\nZqYciL9nrDDnRCsZnjlnsT6zlezPuMMKcyTEfNlG/1Usm+055oF9M/llneSeLAseJ72UqSY9dPAQ\nWHd0qmESw/x+qXGWGDvQ6svkZsScEew5IDIHKsQcM9h2gRmXNOcc6zX9k+3Mfrc5yyRo23xsz5mT\nCrZDHud3e79jX7L4ZSafZ1klXyvnYMmP9SUbQ2Y89lzOMeZknrka3+w9ZTvG3FcWejlvmKWUUkop\npZTyBtKPpVJKKaWUUkoRHiTDu7m5ueNRxvzir0zfMY/RZBYT3dvf/vbTuRzbuZmzqZDmypj1TCYx\n4/FLwl78ou3vex5dVp53zFyctJkZchXXxrzxmGnX5EG8xszh5inryBRtkqwjk22uN4mHyS14zDLP\n316il66bm5s7Hgut7bC8KNH5wQ9+cOdcTOCMVZU+FY9nM7fjplmMriPPhWa6t3hDYSUJs7ZukoSV\ndHN7jckPV3mw303Ww7SZzNcwGR5lqqmzI5mWSQ051iadTO9ePB9inoUiPbo0uWvmjSOZa2AZW9sy\nr1S590p6ad4Mbb5KzKuZc5vhNa+++urM3J5fTe5t3rrsd7ZL6ysWh4zjR8YayoE4jyeeF2U1NlYc\nxQ8zaV7kT8xDxsWZc/lSypRnmlyI59/1rnedzkViaPJ/jimsR0qzgkm4Lomrq6s73g9NKreSXdu4\nalsHzJOybVHg/fJeyn7BtpJjG6dNXsnncQ7Oc8xTHLmvR1q2ufSxd7/73adzPM4cT1mbvZ/ZFhqO\njUkb05MxhOMTpXC5J++TdLDu+B5p7yvJg423rJvET+LfskyT3lxzX694lzPzlVJKKaWUUsobyIMd\nPGy/zI+i/9KZw7e+9a2ZmXnxxRdP5/Llx9XtbQydmdurT/mi5gpPVqkYfZ73zFetbS7kikLyxU2c\nXF0yUgareBy2Qm/xViyCuFmMbDV9teK9t0nfVs5XkaSzUsBztjnYHA3wnG0OtrbEVQhzAJHrs7J3\nSSveM/vWGIvFw5WcrISxn2WFi6u8733ve2fmdj/i7+lnXA1O22I/s1VVi0Nmq2OrFX1bUTML8NGK\nt/W9/G6rerzn0Wr7ytnD9jlmRTBr64zHWTGnD7Yp1yK6m8VsZc2zPKR+LDbMJWGx8jLur1ZeLbaf\nzRVmGbdxku3WHHS88sorp+Os4nLlOqvctnK9crpkjiSsv5ozJZZVVmuPHPxYvCHOtYY5czCLM/Pw\n7W9/e2bO7xwzMy+//PLpOGVl9c3xjHNbzj/99NOnc3lX4XiY9xbmlfVk1rzkhxaNSyP9wNrPUbyh\nHNv7pqlzVk4LgqlmaCWKlXbmXCfmGMUsSyvnIxaHyc7txQaaOc+dtCCbUyezuPE+FsvIrLjmrIbt\nOePSN77xjdM5vnukLJme9JGVFTfvdbSO5T2FfS1jB8cDK3+e21px6+ChlFJKKaWUUn4J+rFUSiml\nlFJKKcKDZXhbGYY5CaCJjua4559/fmZub8CKWY+bw7abimduS/JihqM8KJK7973vfadzkRnNnOVF\nlPPF7GdmyJUULhzFkTnanGhyFnOyYM4aLP7LagOvbaaM+ZZm5dQZTdZmiv7ud797Omcb92zjuZk5\nbWPfqsxiYrWNj3sxfJ5U6ODBNvya9JJ9Kn2OspOUIfvZSy+9NDMuNZk59zn2sw996EMzc7ufvec9\n7zkdZ4M3+6tt3j1q67ZJ2uRxPN6LSWG/8doj6YNdw76yF5OMUo3UJ6VJrJMc2zVHaT+SJJr81uRZ\n5iwlffSS+tnV1dVJimJOMjJnWGy+GXfwYFL0lBnnRfbdHLNeMvbaGD1zHsNNHrdyXBIsVp7l0SQ5\nM+d8M36StdEjCWDOs62bpN0265uDIJMlcRsAx8P8rTnO4XsH6zuSO5P52Di2cuKSZ9tG9VV8xyed\nq6urOzI8y/+K/C2lWubM4SjWZ+rE3nPYDtmWcmzbNay/r95jMs9aLD6mh79b/LKto4yZc7mspJ9p\nfxbLaBUn0ySCqQeOS5mz+G5ocxrTlj7G9wT2O3vnS9p4H3P6wPyYFNjkkvehlqVSSimllFJKER5k\nWeJKnG0MzZcfv2j5tZlj+1K11WLem1/6+VLl12RWtLlZnZvD8jtXwWOh4mq6rRSYO2x+vebcKuL5\nfS1LyS/zZfe0lWF+ybPMzYqU323jra1e8nqu1O1FTucxVw9S1nQkkLphvi1tvE+4RJfGV1dXdxyS\n2GoV6yobmmdmXnjhhZm53XayqmXudW2li7/HAsXn0NrEPpdjszxZP7NVwRlfUTMLCtNrbrnN8mrX\nWvnaxn5aW1ku5n42f8trzBkD23rKnH049zb35zPncmP5xoJOS3rKwlzp8ndaGkNWLi+pn83cdfVt\nlnxz6jCzH67A3AdzPOVzzCqTOmfbYRu1yPTmLMUcfZC0da6qp90zvWzXFjIiv7NM0h65Ymxzm62Q\nr1xIB9aDhaNI2tmH+ezMPxb6hPMMLRnJj1kXzU24hevgNfw9+bG+dylsrfxHDnvI1irF648c8ZgC\nwFy5cz7lPdMGjt4Nj9QLZkVKOleOgywUQcqIZZF2w/bK9m6OUfbUGzw2a5O9J/LvODZkDmJ6zLkL\n236s1keOvlKWTLeVr70nPFQlcVkzXymllFJKKaW8QfRjqZRSSimllFKEB8vwYuYzyYtFuaf5KyY3\nxj+KBIvmttxztSE2EgVKVbLB/Zvf/ObpnMVuojzoox/96J1zSQ9NeRaN3SQxNOtZ9HPbdMjyi4mT\nz+Nxypeb+SOLoyONr3zlK6fjSLJ4jUWkznOYRotoTbmGbRBkepNHbgSO/IEm67QLXnskr0raL2nD\nOdm2qaON0ewrFh8p5U5Tt22Wppk+5ynHiSyI7S1tjM+kBPb3fu/3ZubsHGLmbJpn/TFtOTZp0ZGM\nzJwwmCOIlaTKpBwpa8Zt+drXvnY6TowJjknWz2zjqsXcoaw2+c3YNHNbKpQ8Wtwbi8/Bc7aZ2CSJ\nFqfjSef6+vo09phEMW1iFWX+vrK33NOc1sy4RMbiPlGykudYjCc+O+PCyilK5lKLB0Mslhr/Lv2V\n6ck17Ncmq2F6rMxtfOKzMyZxjks/PJJQUqaadFIizmOLS2NSzOSHEkpi8ddyzSru3JMOpeX3dbpj\nsSqJOXOw+GQ8tu0jObYYRDPnfmVOFmw8XEmsc8x6tzxYLDLm32JOWYxOc1J2NN5bHCvWSeYVc/61\nkjFmHDCZOOcxvifmb80BC/OVcYDbQ+zd+0gueR9qWSqllFJKKaUUoR9LDmMq5QAAIABJREFUpZRS\nSimllCI8yOZ7fX19MoHFfGbSD5o4aXqLSfvpp58+nYtchya4mCnNg9vMzCuvvDIzt83u5mWK18QM\nSROeSZP2ZBQzZ5MsZQD0QBJYLmYCNWlG8s37MW0WOyJyHXpDSzyrmZkvfvGLM+NlRXOv5cFMzGZC\nNk8tPKaMy56XY5pkTfpyqRKFLdfX13e8xR3FBKBE68Mf/vDMnKWnM+d+Rmlq+hfjj5iMjNKzXGPe\nvmbOdUWJYO7JPm59gr+b9HJP8sLfrZ+ZrJNtkKb59DPmIX2O5fPss8+ejv/6r//6zu9G0mtyh5lz\nuVh9czw02YZJMJgH87jF45QH+5lJsi6Fm5ubO/G+TAK9iluU8+Y10bwzrWR4qSPOm7l+5d3KJJUW\nUyR9mG3Hfl954wrmtcr6rsVF4b1Nfm1tnW2Z84LFi8v1zGPmQ54zz3f83SRPfH8xr2g5Nnkhy5Fz\noN1nT9Z1CVxdXd2RP5k02uqIv5scnfOPxYu0mGb83WI4mXzZ3unYfkyOZlJ5XmMeNy3ukUlZ97xx\nMo08tnlnJS0273NJO983s/WFeSXpQ2zvJjO2bwWLt8a/y31W45fFGd32tfv2uVqWSimllFJKKUV4\n8FL9Ni6SrYbxS42rQtn8bXFZbPMqv6YthgI3mWX1mxvPzXLCL8zckysBuYbXctWeX7Xb9PILnSsg\nyRt/txXvYCuVTKetlHC1gtfbSrat6OU+vLetODD/5qSCJO3WHmxTpm0O5rNtVSRt5JLiv1xdXd3q\nDzPuSIXlyjaa+GHm4IHlmtVgWnpt9ZvxhLKKxHNc1ck9zYqUlTc+h/3M2pFZWXnOVh9tdZLjlDmi\nsc31XClL/7KxYubcV1i+GStthdn6/YzHOrJYW7biRixu2l68EKbXLLiXuuK9db7DfG6tTjO3y9o2\nD6fcLS4g6+9o1TztiG2dv8fSyefkHFd90+dWjnty3mIJst1yHs9YYioCiwVl915hThY4Flr5Rmny\n9a9//XQu4xTLjHlI+Vs8Hr5XsNxilafF3hzVpMxXlkRbaef4dOnYeJVzK6cO5iTLLKk5Xr1DWXs3\nyxGvt/ig6WucB9PPOebau5ipJfiuxbE/6eQ15sjFrGNsU7kP5+X0K/Y1UxhZ7MDnnnvudC79j7Bt\nm+LM4hKahZkOWJJe+y6wcp7xdrX3vD0u5w2zlFJKKaWUUt5A+rFUSimllFJKKcKD4yxtJQM0b+Xc\nyqQYcx+vsY1eOea1jIWU3ymT+fjHPz4ztzd+0jQXEyDN90mn+cW3uE4zZ8mSyaKYb+Yx5lKTHFlM\nGJpx+ZzkjXKmnOMmfeYnJn+LW8GyiImTZk/b8EiZUa5hGil1sJgxJr+yDfdmgifJw5EU8EmE8V/S\n1lmnadfMs23UtzgL7DP5Ozp9YP3HlJ6+xevpZITHJlfLfUwuQcmLmeQpGziKjxSsLZj8diVdNTlO\n8kjJAftuZJAmmzUZ6iqmR+qRdWf9g/0w6WU92Ibe3JuyptWY9bcBxn7ZOlSZOZch5yaLr2eyD5Jr\nOObxGpOI55j91eJ+8XdzfhA52spRR/LNfp+2tZKRWYynwPafPFB+w/TaBuscs41STpy6MKkT5zOL\nm0V5om0ZSF/gNgHWff6Wc1zyyL5p0ke2G7aDLSt57iWw3Vhv8syVZNPel6wcLdYe/87ieAW2Tb5j\nZZ5gOzbJa/od5zHmZ8+RFdNobYBlkftb/k1Gx3QwbXm2bZXh7xx3Uq48l/RyjDDJPeskfY1zrEnl\nOcZkewHHBj5nm25iZfXQd8dalkoppZRSSilFeLBlyVY+Q742+RXML918EfLL0DaT5iuYX9j8Ks1q\nD61NttGfK8dZCbAvYn512mY+rlhlJcFW3fhFa3lkevZcA9P9MMslq9r2Nc4v8L/zd/7Ond9tVdNW\nG5kH2xBLUrerTe9ZqeFqfPLINmLR31l+5irTLC6XwvX19R03zrZStiqvrA6ZswFbwVr116y48D7v\nfe97b6Vr5nZfsTZqq335nat5torOlS5bHdo6wljlkc821+BcjY+b/dWqV+AKdMrliJQpy49WweTn\nKGI7272FD8iKG6+xtmTR2221nePmpUDX4Sn3vdXq7e9s99tzHFtThtYGZ85ti9fkOSuHRan/lavl\n7bNt0/jMuW/birI5cJhxJyS5hmVl8yKPLdzHnlMgHpvag+NU5myzGBOmJ/MYy5GW7eSXDnFyTz47\naVw558gzzYpyydbd5NfGGZsjzJ02zx0pCPbSwOdkHuAcwPZl1qi0BRu7V30y1ttYSJgfviOZZcrC\n2xwplcwZjamoWA/WjjlWJQ/m6Ivhaexdl/WVdPA7gu+9eTb7mtWDqU0e6rjhvtSyVEoppZRSSilC\nP5ZKKaWUUkopRXiQDI8bz22DpEXApg/3mNRoMovJkRu14qyAG5YpMYn50WRvNNlbjBaTHDGNiaFA\nk302yc6cTYU0Z+Yai53Bv+U9TQIYM+bKHJzzzINJrt7//vffyaNtUqZZNKZLmoDNzE0Tp8XMoGQx\ndcp6sDgzec4qNsKeNOES479QHmSyLYtkTScNaRPmSIXtKTIz9rPnn3/+dJw0WPRw9mHGHckzTSLI\nPMQhAqVwlBzZZllzKmNSFpM4se+lDbIs6CDF4kYkve9+97tP58wxBsefYLFBbDMr82aSLOaV/SzX\nsJ4sWvyRw4KUn0muTDrzpHNzc3Mq58hB9jbfz/i4xTIxqWPqalV2Ftsv6TE598y53vh78sJ2EhnZ\nSq5ssQ8pqw62MdwkO5YvxoCzeIpsg2mvbN/sCxlX2A8/8pGPzMzMV7/61dO5jCsrCaA5yUm58X2A\nmCTKNtRbviw2nEnOLI7jpWFjicXpMpmZvZPYe8zqnSHtmOOvSYzZBiyGXq43Bzq8H3/PPdnXkkeT\nx/HZFh+J5HqTCs6c+w3L1JyZkbTZD37wg6dz6Wtf+MIXTuesbsxRDn9PWVKSyDymj9g7vLURzml/\nU86+alkqpZRSSimlFOFBlqXHjx+fvkbzpWpuwu1re8ZX0PKFzs1hsSKZlSLpmHErCL+6P/GJT5yO\nP/ShD83M7S/vfN1yxSD54kqZrd5xxTZftVxht1VEW9niCoetVFpkYn6B53jl2CJlaCudR04fzNkD\nVwltUyrTkWv4nKSX+c5Kpm2C5THLJXViLkcvga27TVpqzNWwOQRgeaavcBNlrEi0LPGatCOLOM7+\n8dGPfvR0HKsmV+ZsM2x+5/jB/pNnsi1nDOBqFDGrlzl4MFenbKMpX7pTzjOZb14fy9QLL7xwOmdW\nVFvhZ7nYSqK5cjYHEdY/WL5mMWBZ7TlNucSN53Qdbk40LOSDlYO5/F45VAicu3JsdWpu5Ql/z5jK\nfhQL7cpNvvVN2wTPMrAwE2mv/Lv0V5YZ22PSbvkitlrO/hGHRrQOW3gAlrk5yck9WX62gZ9zoIUM\nMKdK5iSE9ZBjsxpcClu1hPU1s2oTczpiFo0jSwPrPYqnI8WCORFgW0h753urWWQ5N5py5MiyZJZP\nG9s5V5lDtrByW55r6PzlU5/61MzMfOUrXzmd+/KXvzwzt9suy8UcLqRfsa8xX0m7hbKxMCrExts3\nwhHYZb1hllJKKaWUUsobRD+WSimllFJKKUV4cJylvQ2/JkGg6dI28sd8SDNizNi2GX3mbKY0Eztj\nL5FIWUyiQwcOMZVaDKeZs6nx2WefPZ1jOoLJE2kOTn7MRMyysM26NF0mPbzmueeeOx1HhkGJwre+\n9a2ZuS1tTDqY7ve85z13jilZzDU0udrGSJMh0eSd649M8CuJ4CVjmyNTrmzLPDaZhzkUST9bxVPJ\nJmmLkk3T/DPPPHM6jlyN7TYyv5deeul0Lu2Ekjq2rdzf5Eo8x/aa/sFNoSkXkwLwHPOY+7Pfpz1a\nxHYeH/Uzc7jCMojTCJP6sI4pTzD5XI4pjcj1q360J2U1KewlsJUS28Zkk+QQlqFdE0kJz1Fqk3bP\ntpz7WJzCmbOc1iRINh6vHIqkrZvEcyWLtt9tk3z6D/u1xX4jFm/HpOi8z8c+9rGZud03M3axP5q8\nieWb8mM5s28m35RE5RreO+8DK2dIuQ/P5W8vMW7gzP+vnW7nMmu75nCGmAMWcwKwaj/pDyZvXcWx\nsz6SY/bZ3JtpNKml3ZvvTRbDiGVhMdZMis172jyYsrb0MB8sq9///d+fmZl/+k//6Z37mBO2Ga/b\nlBvnMZP18j0j92EaTYZn/YrYdpf7UMtSKaWUUkoppQj9WCqllFJKKaUU4UEyvJmz6cq8kFmcJZPh\nmZc1yt5iBrcYKzNnOQ/joeSe8YwzM/NP/sk/OR1/+MMfnpnbcr7I1Shh2+Zv5raZN+ZDxnmIzIhS\nB5oHI4swk6F56Vp50UlZUYaX6+nRzGIIUCYQiQI9EG7Tun120kYpVcqf5tP3vve9p+OUkcWHMc9o\nrAfz/c9yyfHWw86lkPZsUhWTcpn3H7atlDfbbeqF7YXESxA9vOWaP/iDPzid+1f/6l+djiOJYd+M\ntxwz01v75jHbbeRsFn9jZu54Nptxz49py5QfWOwyxpdI3zWPWzPnOmG7TtrZz1J+lBfEUyfzwHhX\nn//852fmdj/73d/93dNxxgOTiZj0geV85JXy0rxMbklbMclJ2sTKk5RJpmyOM8+xfE5kN5R3mRfH\nI6+i5tE05zg+GOYZ0uZusvJytz3Htm5xltjG0o+Yb8Zii/yQ90ncmkiEZnxOppcyk9yZVJ91kv7H\n/Fi+02743mAebu194CjO1yVhMijWO+vBrrE2fSTn25Nfsj447+SY7ycmmzTJl0l0rU+bbI3XmwyW\nbc9iL/JdbjvOzZzLZRXjKf2F98xc88d//Menc+mT7KfsazY3Zg7iXMT32qTdZLu2vYBlduQx8fW+\nK172TFhKKaWUUkopr5MHWZZubm5Oq6lmBclKgMX7mDmv8vBLNtfw7/IlaveeOcdy4ddrvlrNsjHj\nzgaSTourYLGMZs5fsBa5e/WFHmyVi5u/s0mc+eLqQTabctOpRaRm2rJhnKvkH/jAB2bm9kp/vrZZ\nZrwmvPjii6fj5Nc2Js+cN7ry96wKmCWEf2dRmi1St63mPOnc3NycVrHS9mzF21becv0Wi0Fk8cq4\n0pP6j1WW94kFaeZ2/0mds10nvdanVhs8A50o5N6rDalmMUpfsnhNtDKTrGpxZS73TH+auV1WKVf2\nn4wlzEPSyyjuf/RHf3Q6Th/44he/eDr3pS99aWZu9xmucmbFjf3HVg2TRo4PFouLmJXyUmCcJVvh\ntVVLs7QdOfMxhywsz9SHxUojrEvblJ6xlfW4jYs44yvtxMqC1+zFWLSVf/Z7s2qaimMVJ8dWyJMe\nqlNieaUSgv3Q4hwmD3wXYR4t9kvSyTk7aVw5azDrkeXrkri6urrjJObIWnnk7CGwD6QtrFQXOTZn\nDhbPa/Vsc0SSNmCxM3nM55gl1axrbJPW19JO6dSB47w5njErHNObfHCuiaWH79mf/OQnZ+b2nGVz\nK+vBns0xKn2N77rJI9+tzXGFOXh4IxwT1bJUSimllFJKKUI/lkoppZRSSilFeJAM7/HjxyeTXExi\nJp+jOY2mNzOF2ca03IfSGZrrYtaPHI/X8+8oBcoxHSEkPZTbmNmTpniTvZksgfmOKfAoXodt/LSY\nVXxO8ktpgG3wJTGhckNezLSUTNCka3FbIkmyGB08pixkK3themk25n1yPaUOtlnyUnjttddO7TXm\naIsPRqy9mfMDtqe0I7Zla1uMt5X2wfuwXuIAgX0v97GYSmxvzKPFgEoeVvIMk9aknbDM8rs5wJg5\nt0M+O2mj5NDioVFmlD7J9NrGYPaz3IdjW643KcYq35EqsD5zzLbC35M21mfyaLFGnnRMGnQUE86c\nGpj0zDaf85xJaDkm5jkmPebv7D8W+yVtxqSpTIfdh33Y4tKwPZo88cixhcV5MckiyzdpZ99Lejh/\nZI776Ec/ejrH/MTpCu+dsl7VU57DcYz9PSS+GsuZfTPlxj5ssRoviaurK30/DCarZ3/YG/t5Pxvj\nrG0eOWM4elczGZndx/o0sS0GJuHl+3Hyy3vv/d3q2akP9mP+ncnaM69wzvq93/u9mZn5xCc+cTrH\n/mmOTMyBDUnfoOzdHL/FEZJte5nZl1A+lFqWSimllFJKKUV4kGXptddeO23cytcZv0pzzK9yc6/L\nr9/cx1Y7+WVsX+i0ptjX9pE71NzHLGH2hT1zXgHiSlHyu3KzG9eKFnmYabQNr0xb/pZf7RYJmc+x\nFeHUA1fJbQXe6oTnsqpmK+dMLy1Yub9tTmRbYj0mvyzz1EPufUkbYx8/fnzHUQJXMM0tNFcpg1k/\nre+ZJYa/89kWpdyuZ3qSTluxZfvn6qptlj1ybJG2zvZvm4jNKrmyHoSknWWxclca8rfmLpkrYbxP\n0sS+mTI3Bw4z53Kj1TzPsVXXVbpt/NqGHrhUF/1mCUrZrVxo2+ZhC6mx/fvtffK3NjfZqiyv53PS\n3sx9Pa0clg5altI/aKmxY/YFmz+Sh9W8mHTahvbVyn7uby7T2T+yIk3nNHThbyv6GRs5RjKPZhlJ\nudHalGdzk7u9v5iL/kt11X99fX0qv+TRxpKVo4M9ZxDsu1tL8erabdrucw37QJ5jYWVWIWSCtWdz\nUjFzbovmiIXznM2N5syBv5vll+00YwfP2RwbV/of//jHT+fY12jR3T57NcaYo448h+3ir/7qr2bm\ndl/7m+pDl9kzSymllFJKKeWXpB9LpZRSSimllCI8SIZHYmqk+StSMMoAbBOoxQSyeAaEspWYSG0z\nG82DFkOBJryYQG1zvJkeeU+aafM700jzq5l5c47PybH9HX+nXMmcRzA/dk8zv1q+yd6muFV8pEjk\nmJ4406DUiW3E7hOYx9RDyuKSNp7f3Nzc2WzPOk95s4zMOYZJi2yz9UpGmTq3drKKa5C+a+2W5Br2\nE/az5Ju/WywSi2nB+1i7zj1XcrSUNc9ZvKtVvKItJtNim7f4OxxLTKpBbLw0OZjVN49TLsxLyvcS\n5a4zd9sz69wkw7bB3H43GRnvbfKcozhLnO9SD5Q4m/QyMD28j82BJk+38YXjQtqJbcq3/shnE5NR\n8e9M2m3OYnKfSHdmbscNTDpZD7kPN69T3m4xcXIflmmuXzlSsbEvrCTGTzo3Nzd3xrGV5C7cV05l\n0tiVvNjiLFkabJy7733MOdXqnmk37F/myMfiqZkU1d5lV3nIsUlneX9u+7B3x6SXsZd4bPOObclh\nv8s15viCEvW8T1L2t3KWEaz93YdalkoppZRSSilFeJBl6dGjR6eVlqy+cgXUNoTZxnNijgNshWxv\n8zGv4derRdrm13i+au2rfbXxPCsFtuJNbBXiaPOruVK11Q5u5M7vXFWzdNgmclsBWbnPtGu26d5i\nbmtTbrZpevWln2tYD1lZzObBS1rxftOb3nRaEY2FhdHn06eYZ7ZB23xqEbxtdexoNcqsTeZunP0j\n15hFw5x28Lxtgj7aBGxtmGVlK9rmgpzpMWcXZgmwiORWvqsN7HtR1Y82IJt13lZdV+0mZU5nADmO\nguCSLLiPHz++42Kd41vagVkGZ851ZJZOc3m/2sRtv5vDBOtTlp69zfDbZ5viIuOGha1geklWn49W\n5/l7yt4cW7AszOmQqT0sdAfnRYZA2F47433Yys3CY7Ae8kxaCPiuYu8Q5rTnkri5ublVZ1vM0ZeN\n7Ufjmd3HLHysr1y/Ghe3f8fjo3c/zsH2uzm3sr5mFllTC60UUebgYc8ZDe9lqhazhL3rXe86nfvY\nxz52Os57Ntu7Wa853pjVK9ezT7/73e+emZkXXnjhdG7lzGbv3H2oZamUUkoppZRShH4slVJKKaWU\nUorwYBleNlTF7E7zcqRRdPpA82JkcUeRhU3KQLNfzIdmire4IjPuZMHSkL9bOYrYi2S/2lRo8rpg\n0ZGZRqbDNnrHdLlywLC3YfQoHoBtZrb6MnMvj63uTJq0io9jsTViar3E+C9vetObTpKRr33tazNz\nO1ZBNkKuJDp7sUqOYsKYDOIo2rm1CZMFWlR1k0MwP0cyPF6/jeOxSq/lh2VpMS2sfZkciRw5w9jD\n6m51H6tbk1eZtIvHW2cOM+f+dekOHswRTn5jGVl7NVko20ausZgs2+vDXiyeGXeAslc3q5hsJt0z\nuZmN68TkrqsYUcGkciaT4nGuMWcZfHbGSMpmKctPXKTEQJw5l6nN0zPn+Ykb3iMxMjnkSlK3J7k7\nKrMnlZubmzuyVnvvWsW+M+mZYQ5CrL3a+4XJ7Pi3JgE0qeAqTuaeHHfV1/aec5QeK0uLs2TveUzH\nUVnld/avZ5555nScuGOU86UP8ZzFeGJfS/9jGuPsgWMr35WsTurgoZRSSimllFLeQPqxVEoppZRS\nSinCg2R419fXJ1ldTPk0o0V+Rz/oNKPlWpr9zDS559WKv5u3vJXsLCbgI28qMTPy78wLlZ2jjIzy\nxJjqKb3I3/I5SYd5LCEm8TAvf3wmzfvmwSf5Xsk69jw2rUzeyZull5jsweSdbGv53errSefRo0cn\nGUnqz8zRKw9vOW8ysZUXtnBk2jfTvMUUM9M+75M8sN0yDxZTaZuu7TXm8S/nTM66kgCa3NXyZV6N\nTEJhfWolfTBp1148Gj7TpBwms2N6eJw2xraWPmfj55MOY79YG015rjzBRfphMj2TlPDvKBvZK1OT\nc8+c51KLcWfSS6aH80Ousba+kqnYHBgpHduTjc0m+aVULvlhek1OtIrtt302JYd8Tp4dOd6Mx47k\nnJNjettKPbBMrW5I8sY2kDZ2yTK87bhq71hH3gAths7RnLWS123vcxRPzcb2I294q/li79yRPMy8\n3Qamh20/x9wWY572bByweeXoPe/pp58+HcezL8e/zDGMj8TjjJkWh9HedVdet61u6w2vlFJKKaWU\nUt5AHmRZurq6On3BZdWEGySPnATsrZDaivdqA7VFRLdrVvGKts/mb7aCal/WtrJlG+F4T55L3BzG\nz8mXs321M70WPXllvdmLgm0bEW2VhmlfrULYNbbisPd3q9/zbG7c2zp4uKT4L+xn+ZermWlPtL4d\nbUhNHVgsklWdm4U3q1lmlWQ6juJo3XdF7shhiPU5nkv/Ymyy9DOuspGk8yiGjcX3MMcXLItcY05j\ntvcPtppnK5Y2htoYucqDpS0rgJdowWXsF7MmxhKxGkPvG6fMfrMVbqu/lfMVW4G3c3kmrYUW0/Bo\ns/1RzD3rr/l9ZSUK5mhoVaa2IX5PrbByGBDLfVa9Z85jLMcFjrsZS8wZDK/ZviNtsfHQyu+SePz4\n8akNWkwze7cxhc2RgwdzYmOY05CV0yJ79i9TTyvVUjBHPjY22Ni9ct4TzPJrZTHjjpnsXS734fMs\n1hT7SPofnbvQOpS+ZvMk33ty7yNL81GZ34fL7JmllFJKKaWU8kvSj6VSSimllFJKER4cZylms0gU\nbHPyKkaCmeDNzGjmP5MwmHmQpkmTBByZvnPMjZ22yYzEXGzxIvhsmgJtA9ue/IfYNSunEGbyTx54\n7/zdygyecrHN/Kt4P7bhPvc0qc8qRkfSxudsTbKXJsNLm8kGRso1t7FvZm7LSfYcFLCMzSkBSZma\nSX0lx7Jn2+bl1P/RplrbcL+SBdim27Qttrf7ytqIOYMxmQ1lO4HyA9uUa/lhHiy22+uJh2Gb/a3v\nsp7S1i4tvtIWi31jssWVZHWLSWBXbWzPOdGqf+xtvuY5G4NNbmT5XsWXsnPJLyUykU2vxvX8rTk6\nsPhpxK4xpxqsI/bDHJsUnffm9RmLmYdcb/MVOYqTk+uPYrc9yWyd1xzF7zsqCxvHbSy0d8KjvnQk\nR9uTNB/Fw1s59zFM6mvbEtLe7b2KaTp6z6YULu+zNn/Zuxix91+bV/m8xGPic+hsxeanlN9ePNEt\n1v/uQy1LpZRSSimllCI82MFDvuB+53d+Z2Zur8JkVZWbqRnV175k81XKL8N8lZrlY2Z/dWBlWbJz\ne5sK+bVsm01tUypdk9qKw9EXuK122QoHf8+zuYrA33NPWwk4Wl2xFUiru6PVVls9YT1ZZHSWVdrV\n3grR692096tO+tnLL798OncU/dpWTvZWU1arzrZB9Oj6PVf3trF85Sp3b9PoasXbVnnNzapt/ibp\nk+ybKV/em/e0FU1z8W5RyG3sM0vOaqO85WPPra6t7s/cdZqySselQAcPe270j0IjHDnbMGuhWZ7M\norFysmCOVsxyeN/wDeYG3/rrjPdNczqT8YljufUFm2v5d3TvnfmM82+OOR4mjyxTPifHZk1gfXIM\nyPx+FOIg19OduFkAzbHUJVuWgimQrO2aCsgsrVaHqz6754hndc3e/GVOflbvbxaK4MgSZqoae8+O\nlYnvUObgzPJoTm0ILUvmYMXarllxLV+rsso1phIxWKY8tveLOngopZRSSimllDeQfiyVUkoppZRS\nivC64yxFHkSz3UsvvTQzt82DNKHHJE5zm5n1+Dw7jtnUJCIrf+t7kglivufNyYLJAvlsXh9pAjfk\nJe0mb1g5xYhZnyZOkyxauZnpl1gcGToQMMmiPY/pMGlGzlFGYfFdTB7E3y8p3suW6+vrUz/7wAc+\nMDMz3/zmN0+/55j1QxO1xYdJ/d83NhaPTW6zkt6Z04gcWzuxTeJMk8kyTPrAe7JcTG6zF4No5hwD\ngjKavSjuvJdJeo/yZXk0aZ5J/GbOfcVkF0dyVx6bM4dLlbeGrSyH9WtOAmx+odTLxlFzemLOCCxd\nK+lexgdzcHIkd7Ex4Eg+yrZlTlNyjg5Okq9VzEJu7t6mg8+2PLL9p7+bPJd1QwdMeY6NU3aOx0y3\nldXRpnOT2h7Jki+BbZs2p12r+Egpy6OtF3vxviwtPD6Sk9uYbXPI6l3M2nbKYOUkK+2L/SpyU85z\n5jCJbd+cLNg7FMc3k4umn5s82OZQ5sfeDVfSPUuPpTv3eUgMrNdI1jdwAAAgAElEQVT77ljLUiml\nlFJKKaUID3Ydni9Gi1ydrzxaUOj6Lysy9sXL1Rr72rYNzfaFuVodMMtIVo75nHyh8+ueq6/JD+8d\nKxvzwGOzauXYNqbZZlCeZ5nbagavt1Xp3JMrg2bVOnL7bhsWueJnrh5zfLQKzjLPSgo38F6Sq/At\n19fXp7YZl+DsM7ahmatMWUE9cp1vfeYoUri5WGaf2nOaYhYWWyFmHm013dySrtJrK5VmmeZz9kIK\nrPqZrU6GI/fd1j/4nPR3jinWN4824aes2W44Vmf1kn3PVtsvhaurq1O/MhfaFi7B6s1Wto9WaM2p\nit2H8HrrH6a0MEsln70NwcDfzVkDj7nanefwmpRt5sdtOjLG2VxpcxPzaE5IeI3llb/n2VYWTON9\nVRzmrn3VboI5DLjEfha2TqTMSs82ZcoIllnal1l2WUd7DnC2fxtWjia2HIUaMPWBWY7YnnlszpzM\nYpu2SYdqVEbkmOm1dmrviaYMYj3tOR5jHtmvki/W5zve8Y4792R6TB2z59Rmmyb7/SFcbs8spZRS\nSimllF+CfiyVUkoppZRSivBgBw/bGAzmb50mQzPxHW1wM0mYbUwzsx/vbb7euckzz/ne9753Opdj\nnrON9BZV/CjaukmcTHLHPFAmY/Kg5JsmTuYx9cXfLYZHymIV28rM5Ek7JSes78geTIZESUTuybzS\nSYhtCA2XGGeJ8iCL/WHmccpdY85mvViMnT1HH0nH9u9sM+c27Uw378l+9J3vfGdmbsePsojkljb2\nPZMAmozG5Ghsl2yPGb+srHhvbmKNUw2TOdh4txrbkk7KE228s/HS5HwWW8acp/C83ftS+1nq0+TM\nJldm/s1hRtomHR9ZuzR5qMU6MkdBMz6Opm3ZhnaOnUxHrjfnQ3wef3/llVdm5nbbMYl95iFKgzg3\npYxMVs57f/e73z0dp6zZrpMfloXFr7FYNSbDM4k9jylvsg3oKSv2e5Oq2xhwqXGWrq6u7oyhFtNv\nFZPLJP8mNTbHC/beZfLVVdnvxU+y2I+rGHh7MZM4f5u8nv0h9+EYk2OeY7/LXGXbXVbzQZ7N9BhW\nn+asi/2G+Q0sl+SD/ctiy1kbMIcyR3EJ70MtS6WUUkoppZQi9GOplFJKKaWUUoQH2Xxvbm5OJrX8\na7FvaMqzmEs0xcfsavEFeM68Cx35uCf53UygNPO/+OKLM+Pyt5mzKZHmYDPfmieXI68tOaZZ1GQf\nNGGaOfM973nPnXSwzPdkGitveFY/5rnIpBDE4ilEWrGK/5JnWxwr87N/SaT/sE2krkzWNnPuZ2xv\naTsmszQpCf/2qGxNzkl5Qtrot771rdO5F154YWbW3o8sbcnPynufyZ1MLmxyCRsX2AbTrvk8eu9J\nmcd7IZ9p/cjGB543b06sb5PImgzPvBKtPI2ZPOFoXH2S4XyWOmAZpP4sfs/MfkwlK1eTC824LNQk\n65YOi0HEPmPpYXvLfcz7KOdAtr1I1DkmpSyeeuqpO+nh8yy2ksmtrF/zmdYXON4dPYdyr+29V14A\nU4bmTcuktCvvhzaepp9ecvzALVYOq3hD5k1wT4K1irO0J89ceSI0Kby9d1jdWZ/nubQvvidzC0jm\nTpsn2b4y76zmlWBjPM+ZtJ9jQ/LIe5tXQptj2OcsX+xr7373u2fmdpxWm4NMOr6KhbjNw0OpZamU\nUkoppZRShAdZln72s5/NN77xjZk5W2Neeuml0+/5YuOXKDdw2wbJvTgFK1/52fxlq2qrCMUW3yd5\n+Pa3v306lxWrla98W722yN78PSt9R/Fo8mXOL3BbyTQ/81wFJPny5ir4u971rjvPtjI3K5Otfq5W\nTC1+iDniyDmuRphTCLMorCJ+P8n84he/OFk4s5k6/5/xVVFalrJqQwcEZj0yRx8s97TnIyckFrOC\nacwYQMtS2utqBdn61JFDCtsUbzGItr9tr7FzthHeHL+wXNLnbOP+6jm2Mpr+wXHV0ssyT3rNYmBq\ngBkfky6Zm5ubOxb11zO+mbXW4nGt5qbck+3JLCM2/nGeMWc/lm6z/lvsLc7d/N2cLCSPzENWy7lS\nbo5fOC5k7FrF3DMnJTnHze1RUqycosSpBJ9j8aOYb1tVN+t7ytectPCZNo9fqkLi5ubmVP7WH8Iq\n/yk/UxPZ/GUOBmb8HcowZw7mkOP1qC6YtrT3lWUpbZ9WttyT79FmFTXnPbyPKSjsGvbp5IFOWey9\n3uYv9r/km2MM821O3szCZ5Yle299IyxMtSyVUkoppZRSitCPpVJKKaWUUkoRHiTD+8lPfjJf+MIX\nZuYsD6L8xzay0ryYa8zZgJnLbSMqz3NDmZlVbZMtTY6R4dkGNpPHzfhGTIsBYHI226C28g+/d47Y\nZj+aTW3DeCQelC3k3CouhZmbLY4Mj2MipZQh5leTDNnm6plz+VusnDzj9frO/1XkRz/60Xzuc5+b\nmZnnn39+Zm73M5PoWLtmnIU9JyQreZDFWTIJxZEMIuZ1k6WsNqTmb016xL5p0lfKAfI702PSGWtv\n7DNJD6UCJvXIGDdzLguLx8S2vJLFbTFZMZ9DCYb1vbSRVb9O+dm4GWnWJfWzq6urO7Jqk+Gt5qFg\nZcL6MYm0Sch5TeqPf2fyOp6zeHQWo4ukrtlOMtawrdv8YXlgXm3u4ftA0kQp/9e//vWZ8ZhSM2f5\nj839dK6Se3OsYHpty0DStnI0lHzz/SXlz3sfyV0tbk/SeYmOVGZuxzTbk6WawyseWztm2Wac5lzD\n8WxvGwU5qgeThIVVX0t7YF9LH2O/MMdm5qyJ7St9lu3Q5irK3jJX8dkmGTfpLN8dbdzhHJw+xLEh\nfZ4Oyiwem8WSYp9Ovkym+EZTy1IppZRSSimlCA+yLP385z8/OXjIpkx+xWWjl60Qz5y/LPnFmy9Q\nrg7Y6qpZavg1mS9RW2mbOa9U2SofV4pilTFX2TO+sTYrTlzl5mqybQS2TW/5Al+5vcwXtbkh5YY7\n2yjP/MTywPJJem1jHtNpFoVV3e1tijc3x1yR4UpKYFvabj68pBXvn/3sZ/Pcc8/NzNn5iPUzrrhy\nY2ZWbbgqY6t5ZtU1d7fm4MFWaWfc7XDaDvuErUbZKp257eeqFdu9WSBTLkcu7a3PkD0LLY/ZRrNi\nt7I4B3M0YWMgy9wsU+bqnOfMpfHRpuVtOIhL6mfX19entmQWSOsz5lzF+oxZwQnbhCkyzCJkv7NN\n2Lxoz+NYkX5qG79t7plx607KjaqG5JuWo4xrM+dVZY4VWfleKS6SR/Y9WpRC0s4xh2WZdLIs8l7C\ncxlrZ84r31yJT1lwVdxcRNs49xCrxJPO1dXVHUuFvcesxpc9ixLL2cY49r+UuVlLViEpzBK4F/qF\nf2eOSmhNSdvn33F+yxxu/ffIGsw85Dl0ZpZzvA/LLfXF94i49GYe0wdWVvCkl45cqMDYu8beHTnu\nmOOKI9f+5ob+PtSyVEoppZRSSilCP5ZKKaWUUkopRXiQDI/ElGUmf5rIKWuwTWYx9TEOUMx5vI9J\nhSxWz2qzekyg3Dia59DMmHtyQz2fkxhFlO4FmmQtxo2ZGU1mwXRbLCTKAFKWJpOYcWlkzK5HG/ct\n1tSRXNLMzua73zZgruRBFktpu1n00uQLW5kN+1FYSU5TtuYUwhyXsN0eRRwPK+leTOU0nyedbJdp\nw4wfRflB2i2vSVnQDM8xItczvenbJk+wDfMz57GEY0XyY7FaZs7jgUlCKIVLHkwGwrRZPRw5UmE/\ns75n9WjP3pOgXFo/25a3bbpfOd2wOHI2L+bcShpk9ZJn8t42NpukxOYPcx4x484ItvFwZm7LzHJs\nDh7YpyL5ofTHZG8W220lx7LyzTHPpXx5zmIhcS5NWdh9mHaT4bEf5e9YziTlxjyaFP2SuLq6ujP2\nmTTKZKXE+po5vrH+x3uyvsxhmKXD5rwjJ1jmLMSkqpzH2NcyD9o7tb0HZovFjDv8YVmZfM7mL4vB\n9s53vvN0LuVrfYXptXhN5kSJf2tbZDjGJD0s5yNebx+rZamUUkoppZRShAdZlrhJL1+l9lVvrntz\n/cztL96sLnGV1iwstunYrA+rFW9zMWirDDnms80yYquNzBetZ/kS5rOTHq5mZEWBz6N1wL70c/z0\n00+fznFTalYArJ4sqjstD1z5SblwBTL3sXKeOa8EWAR2u8/qiz/353O2G/seGo35V5nr6+tTf0j9\nclNo8s4VKNt8SutO2pE5JVit5lnU9Byz/tiOkl6uEmU8YB83V/Xc9Jk8sC2nrs3dL59pq/HmpGK1\nqpW+y/Tk2dnguk1bLMksF4u+nrpjvzcLrq2cr6LS5zzP5dnM11EUc7NWZMyxVdwnnZubm1P5mCtg\nG99sI7Ft6LY6Z9lZFHpznsN2y75raoWkw1bfbR6ZOfcf5tHc9prV92ijtG2+JukD5iDDzm2Pt+nh\n+GLYfMY6SX5W6oq0FY6reSbnzYzV5nBl5lxn1u8tf5fC1iED+0DK3hzO8LyFNmF7trHyqJ1aKA6S\n+rK6sbAZ5tRs5vxeZ2Fn2NdoTUm/43yRY6YnZWDWJGJOtMwR1Iy/J+ZvVw6egikWOFbthQxi2s0y\nx2vy/bAaY95ILrdnllJKKaWUUsovQT+WSimllFJKKUV4sIOHmNdiurRYArZJduZsjjMzJU2PMfVZ\nrJ0Z31Rp8geTq9FsGlMgJQaBEieaArOBjvmKeZF/xw3ltpF8z/kBJRPcHBtzJ+UGSTtjTdBZhska\nIhmyOD2sT+bRNszaZkqWgcnwAusu+VrFMzEZ3tZEfEnyIEY7N5O7xW2hWTxYX6Bsze7NfmgyI5Ph\nsZ9ZXduG5khnPvjBD57OJYbbzFkKZzEnVtHO0675HIslkbbOzbCUzabdskwjc13JXdNX2KdyzmKp\nMd0mN7E4PSxzjhvJm8ldTfplEjCmyZxLXFJ8JbLdvG35XMmD9+Q9toF8FWXeJEjm9MGeZ7Il/l3a\nMts6n21yP4uvwrkgbYrnTCb11FNPLZ/H9BJzrsL5k2naPpvtP88xhzY8z3McV8KRk6PUE6/N3M88\nsD4tnlnSsXI686Rzc3Oj8rtgTruIvccYVkcmS7X5lOlifzCJ7vZ5Mx4byGIYmWMgzrv83SSbyYP1\nC74HWvxDkwebA4yZ89xrZcG2be/9nBuTH+bL3hNsC41tXWFfiuSV70RHcsnXSy1LpZRSSimllCL0\nY6mUUkoppZRShAfJ8B49enQyzcUMZx4sLG7CzNksaPIgytZyzUp6FHMdTegWE4Ym0DzT5HOU3MXM\nSJ/wlL9EzvDNb35ztjC9zGOeQzNjTLUvvPDC6dxzzz03MzMvvfSS3ifyOvq4j/mWeTCvQKyTmCRZ\npia3sWOTfZhsh2lnHsyUbXJL88nPZ+c49XlJ8SkePXp0qteU3ZFExGR4JHXN+6Sfsb2wLraewmbO\n5byKqZD6N5mlyRxorqfHv6STMlSTtdmxSQ0ojUj/+tKXvnQnrzMzH/jAB2Zm5r3vfe/pXCR+lAWu\nPG+G5Ndiflhb5rHJSvkMG3eZB5NQmpTFZEYW7+xSvXRtPQDamGeeRAn7TOrcvC8Sk4wR8+JoHqZI\n2gH7USTdfB7bRMYAyoAsJpt5IuXvKReOBTlHuRD7z15cQZO68f4mS2JZZa5ceQxNnTEeYuYcPo9p\nt7pNuXB8yfHK+6F5Lcy5/xdevf7/wc3NzZ12brJTe8+bce+Fe17YjsYrk8Gu6ss8t+Uatve8G7It\n8DnpVxwv0h/Mq+Uqbeb1NdfwfZtt2zxRm6T+yNtnzjG9eX/gs9mHkl+OF1am1kds6wXTmPI/8nho\nPPSd8TJnwFJKKaWUUkr5JXlwnKW9DYj5muTXoG0M3d5z5vYXb1bGbHV65ryZzTaZcUWBK+ZMx/Ya\ni8LM1SNacvK33BD+/PPP37rfzG0nDSkz/h6rV6xJMzMvvvjizNxeeWBclw9/+MMz43EBWFa2mXQV\nK2SbxtUmx228FR5btOYVWRWxFRd+6dvGc1s9sNXJS2C7Gd9iArGe2SZSbxYvh3VlzlXYv1Om5hTF\nVmn5u23kPrJ+sZ9lDGA/yz1X8Ybs2bnPs88+ezr39a9//U4ePvGJT5yO08/MCsryMSuExcohFg2e\n7Fk4bDV0xutpL24Lr+VKrsUs246Rl9TPGGfJSN5plTHHDdbWbcWU/YRjsG18T1vmvGUrsxb1nvHB\n6Nhhm27eh6SOV5umre3aanfSe7TKzz6c+/AZtsnbVqE5jpnigo6PLN/5W9anWZZsXLB+tMr3nrX2\nUh2p3NzcnMol5WeWcvY1lo+pT6yvBVPSbO8ZUserfpH7c96x+SlqCM7L5iTlaEy2+FwW18icwHCM\nWFl6QuqB5cdn5x3V3gP5Xpp+Y04deMx72/u4WdFtPmU97I3fM/vfHA+llqVSSimllFJKEfqxVEop\npZRSSinCg2R4v/jFL05mfXPMEDOrmRFnziZJmrEttkeuMakCj/kci0FE061tZouJz2IH0fzHTamJ\nHcH0pAwi75lxGQE3/uV6mn6zIe9973vf6Rw3mceHvskSzGzM8+ZkwTYM2+Y53tOcQqxkPbnGZAsm\nozDpHX83eZDFk3nS+cUvfnGS0mz728y5bEx2MnNuU2zDaW8mYWM9m9zhaJMqj815iEnPTFqWvjXj\n9Zky4ZhjMdLYjiJNosOQyAUovfvQhz50Ok7bZLtOWVq73Z7f/v7/sfdmbbIc13n17gOKkk1JBEEM\nBCeAg6jBNG1L8jxc+MJ/xTf+q7rz40GyLEGUQJAAR1seydPfhb+3anX1iozqA3g4pXfddD5ZnZmR\nEbEjM2O/sfdOwmQBUnb5zHjMUd+3clkQFm7z3JfXviU7u7+/f5R3xYIWrO55l3clWN8xKTWJDfP/\nLPgKnymXY8bMuS15X5anj33UxnWWPWMI6yXlNcmO/d/M+XnHa5ts3CREJNdkjplIg1a2Z2OkSX9Y\n3iPZ1yrojO3Lvdnzd5Vb8mWHMjzDxh5rL9aZtdeRzG7G+7bZmuXwZOCUBB7isyg2aUHEiPXtVcAf\nCw5mOf1SXst9xuuQXV+zfm452F5//fWZ8cBjM+d65XtGzmPveTPH0v1rn32EdW7j9jXUs1RKKaWU\nUkopwpM9S/mizkwtv7Ytkza384VpgRt2oXA5I56FdJxVPsqyzOtYGFN+vVpIdP6eWWmbzWCYY4Zo\nTtn5ZZ264KLTb37zmzMz88Ybbzz6vxmfqc4s4WpxYn63mS9bBLla/JZ7sKAaq3DjFpjBssxboA3r\nI+wDl97HW5rx/vnPf34Kbx07s/Dctm/GQ+un3tl+8VZxdvramU1ej8fYwk2bJbI25znjZeIs+B/+\n4R/OzDmgysxDm8t4wXpJP3r33XdP+77zne/MzEOvrdmzBcjgPaxCK4f8r82ErTLM5x449mV75Vk6\n8mZYmHDz0K64RfsiR/e1C9pxFEqaHM3Q8ngLWc1zs5/YMyXb7Ce7QBFHIXptppf7LeAO6zPjyipQ\nhPWt3DfHFD4j87/0FFsb5jq8noVr5z5bLG7ltVl6s+dVagF7blqY9Vvj0otrIalXpK52nr70d7ab\ntY29363q3tJuWAj72BXfS628Nv7Slsybwnef/C/7q/Wp1TPmsmy8nnmEdmG57flkXkSWxzyAFjzH\n3gNN3bQKpmLBj3ZBllbUs1RKKaWUUkopQj+WSimllFJKKUV4kgyPC2LjZqN7K67zldvOFqGZxCry\nILozzc1m7tfV77bINuU0eZdlOWeZ6F7Ndha6zbjLlufM4lYuiov0iPdtrlbLKE95lbkXLf+RyQlW\nOQksxv1R4AWen78fLfa3RZf8neW1vB63AhfDRiZiUsaVhC31vZP6pM9QSmsSApMSrGRgsS/LT2Jy\nM/YD9vXYHPM5ZB+DMXCBbWQ/lADEppI7aeahrCeYRGe3aJvHmHzR5K67xeoWJMcWJb+ILM6CR5g0\ngu0Ze7/FQCrPnz8/1bNlq4/N2Hg74/mRbIwOq7wxOZ5juC1e3wX9yP/m2TJzHgNWefhi+yxP7IzP\nVJOombzUcgmuJDL5fSeRsWeKnZPP3JSHdco8MLlfPs92UvTUi8m12N6Wv2YXOMSepbcE3x3tXs3+\nLo+fuV7mSuxZtAu6Q2w5wVFuppWt2TMv56StsWzZb+9vtEkbQ7idd1CTkVPKuwuokPvl8ym5plg/\nlMnad8EuF5nV75H8cBVsadevnkI9S6WUUkoppZQiPMmzNPN4kZUtKFuFiLSF50dhjm2mbea8CM2+\n0PkFbl/R9uW8+ho3cr8WppTlYTny5c57TOhFLmDP8aw/fkWnbHYPq2AY9mWde7DF/pztsdnPnafL\nFuta0A3+n83AW5AQzoBchoS+JQ/T3d3dqc5sJvXytxnPIG/eUfattLl5Vmc8DHiwEMEz53aghypt\nzUASuY4t6uQ2x5fMDDMACvtJZsl5TMphoZpXM7/sZ5fYPbBsNhtPO7PZRd63zaCa59U8QuaNPQq3\nf3kP+Z1h6uO5S53sAkK8TNzf35/qInVnC61X41v6nnmWbIzmsfzd+nrKtQo0ZM/NjNfsyzmebU5v\nbMKN2yJv7mOoYAsUEkyNwHtg3zqqq1Wwn9iN1QWPyX3RXn/0ox+dti0FQs5tnoiZcx1Y/XIcCizj\n7hmYc96SfZH7+/tHz/ldnZAjj+011w4WbMiCPpgqw9rdniu0L/a59H3ed7zAq+dpnivsk3mG05bS\nj1e2ZmNZfrfAYzPeJ22cjEeX3iTW1dEzmPZnNs19FmDlRYKFhAZ4KKWUUkoppZRPgH4slVJKKaWU\nUorwJBne8+fPT647W5hmiypNOkXXW7YtJ8wqM7O52UyaZPlWTI5mC2ctEASvbWWz7NIzLhOwAAUm\no6D8wRbDmYTNtnlOWyh3KUe5vF7ue7V40TA3bmQ/ttif7WXSMB6TPmaLhF92nj9//ijfl8lb2H6U\ngcTtzd/TFpR9Wl82yZH1f8sRMnNuK3O58/9MWsZjzKZiuytpUmyFx1jOJMuKfu1ia5P+zpzv24IB\nmJR2tSDVxj5bzM/6t9wiR8EcTEo7c65XyimybQF9XnYYSMUWfvP/gvUZqxPLcWLBkHhtk3BaYBce\nHwn4jC8CT/tFljYz873vfe+0nTxlfM5EYs7rUVabQEYMJBF43xlr2N94j7kHjkl5BrAPmjyH12HZ\nQo5nHjbaQu6XwV4iP2Sd2vjDa6fOLV/TavG6kXOaJPEWoOQ19Wjj3mpMtveyYHKqlcQq9Wu50Xg9\n9tmcy97FTD5H6SdzAkauxnesBPjiuVn29MkEKppxSXTOswqSFRvjMzZ9lrJBliP3Zu8R7Nuxte9/\n//unfRyLMp7wHizHqdk5sedpWD2XP8mAKfUslVJKKaWUUorQj6VSSimllFJKEZ4sw4vrLi7HXVQf\nk1NRpmfuNpPg8P/MxWoyPG6bC89yUOTcK1eeSfdSNp6bkUgsKpydJ9emZI73nfqzCIR0i7Iccf3y\nnHbfdq+WO8aiBa6kOZa3xdyiFlmRmPwq7RO3MWUbLzu/+MUvTq78y9wUxORvMx6FzaJBpn1XkjDb\nZ7+bzMZyC7E8JjsxOaCVbZWbKVg+B4voQ1iOSBZMZreKJGd93frzTsZm0b4scqDJdazOTWK8ypFl\nEdgu6/wp0qL/12Hul6Occ9bniT3PLHrlKh+dSZxz/ConVrYtchv3RXZDifOHH374qBwme7PnIs9P\nyY5JDS1KLKPIRorD86QcP/7xj0/7IkWaOdcLy5t9FqmQ8rj333//tJ1rmj1SFriKjBfsvWJn9ybT\nM2nwrZE+spM3GznG7NT6qeXYXF0nz0a2oUWupOzUniG5P/Zx9qXLyKI8D8tlERopn8t1eF9f+MIX\nZuZhP+O1czxzjeW5QlvjPebajOiXa/LcueYf/dEfnfZR/hqpK59PKS/LY21mEaZNbrzrP/z9RW3s\ndp58pZRSSimllPIJ8iTPEhfp5cubX3n5YuM+ZtXOTBN/P5rdXnmojgI8WCz8mfOsAWeaLDeTzfpw\n5iLn56LS/O8q742VO7MVlgH6KbMiNuPLesusp2WFtgABnDGwDNG7meWdB9Byb9iME2chkj+Hs4mX\niy5vbcY7fdJmWNIWrCN6MjMTa21p3ptdH9t5lsx7wdl2C0hhNmz5MMwWVovegy3OXXlrg/VH2pHt\n43XMs5RjWN5rZ1CJ5bawspunkWW041neeDPZdpmRtFnGW+By0b7Zx26R8G6223KGmPfTVBo2i8rf\nLTCS/d8Xv/jF0z7aQmaSGQAi51l5UbmAPWS23BbO2yz0zLmO6DmyvDO8x5SJ/TBlo12nPCwrn/0W\ndMn6AGf0zQ7TdpYziTxljL1F6MXlvsvtlQfAPEvmsTXP0ot4FVjWXMdyEFm+yHfeeee0j30yXhQG\nVLDnJe8x/Zf2meM53sdGVoHJUnYLhkL7o6cn56ftZ58FpFiNF7G71T0Gy0tmgcDIURAqUs9SKaWU\nUkoppfxvoh9LpZRSSimllCI8WYYXN7rl9jjKETJzllNZniW6rl/EJW0Lo21BrS3EpMswx9PlSred\nSVVyjytJhF0nbkO6aVO21aJeW+gdKMOyBffcFxeoBbtgeXiPR25Rk/jNeJ3nnJRjWFANXjtuZ0oq\nLhdG3trC2MsACOZGtgXNM+e+QPe65TWyPDHWvrbgmeUxCRvbL/tMArvK62ULp00mY9Imq6uMPZfb\nwfJGmTuf92BSQ5P47eQmJHVp8qBVDhKTCGZ7lX8icEyKtIljSca0yDduyc4oK099m4x4FejAAo7w\n3JfbK6mIjWE7uWtsgOW1AEvhjTfeOG0z38mbb745Mw9lbenjK8llrsN+kn7EZ2Ak+KvgO5eSft4X\n7Yx1EXnde++99+h8zI+UOuB7RRaVz5zz0jDPUqRFlCrx2taOJg3ayYUtV5TZ8K1xOZ6aPNnyx+3O\nx2N2edJMWmvnsfxzlhOT2DvoN77xjdN2bI3Pn7zbMMiCSaav0BwAACAASURBVA357nMp0efxtizm\n8n9DbIkBJ6xvMy9brkP7zDbfmWlrkfbR1lJ/LBdtNXVoAeJ2smh7Tu72XUM9S6WUUkoppZQiPMmz\ndHd39+gLlV+DFtKQX6pZpMaZ6my/yJffLswxyde6LVbjl3xmi/n1bwEgSL6sVwu5c4+W7ZnH2MI9\nknuz0JKr2RXLSp4ZAM5KWmhp8x7Y7OhqEXnqjTOQq0XqvMbMw8Agmc3gDGUWAtvC+lvgchZzN2PG\nuks9sc3TB+08Ky+ReVjMo8w+k2PYh3MPnMGya7OfZCaNdmiz/yT2wZnhlI2hTFM/vLaFcuZ1bCaR\ndZDZMy6QjU2Zba7GNguAkn0rD6B5io8CaHA842LjeBLYTqlLm329JSwYh6V84Hbq3TxCpiKw1BH8\n3bztKxsPpuxgv7VnKT3Or7/++sw8HG/TDzgTbCG0rS+YUmL1/MzxRwEjeL2Zsz3TOxY7Y9jj3Hc8\nSJfltQXx2cf3E2sz8zqYN8CChcz4M9veRW6J+/t7tRf+PrN+fzPVknnPrf52qowjz/zMuc/yOWcB\nuiywB8OIx574HpO+z2ef9RXbx2dSysvz8Bmc99oPPvjg0X3x/1h/qWvaUO6Hz7n8H73Xplqy9DXc\nZ++1HAdyDxZ8w+rncvto3zXUs1RKKaWUUkopQj+WSimllFJKKUV4coCHS7mCSXBWC8siV7OMwXTB\nXS5u57lnzq45ujjjzltJ4eIWNKkDF7LGjWnXW/2e8q6OsfIcudtXMoAcb4t6LQcAj2dc/NQrXZcm\nA+AxuQ7v0QIzmHzIFslaLihKrphXIG5rW1B/bS6Ul42j/C9h5Xq23AzpU5YzbCVHS1vuAgdYmbgA\nNPso+YodsU0px8nvJlfiMbxOsIXBtMfUJeVIZjOW92GVaT12wfrN+GTyW2JSKnIkXZ15bAs8hnKI\nbFMG8tFHH522s9+kUhYg5JawsdVy2JkMebeQOpiMh8dfK3smZh88d+x+lcMu+y33EuWsPMaCmeRZ\nYfdgwZBYTtpEJHu0TZY916HEOHXOfTmGfZ3lMIm4BXcisQueJ9smnV8FBrExPXW9kuDfEtdKee0Z\ns6sfy3l5bXlWMrxgEnWzaQvmMeNSbvvNcnzucnRarkpu2zuUyUFNlvruu++e9kVqx3fD1Auf73yX\ny/kt6BPfdS1HKp/v2bfLo2RSzacEWVpRz1IppZRSSimlCP1YKqWUUkoppRThhWV4wWQplHHQJRY3\nGl10keTRnZlIG+ZmnDm7zinbodverh33osl2uC/nXLlxUyZzm9LNaDlwLNIL6y/yB0YhYr1EHmCS\nIbqnLSqWSQRNcrKLJGIyLWLuTpMNUv6Q+mF7MjrTZS4Uls3czy87zGdm0f6yj/2JfT11S7lr3Obs\nt+lPbGf2k0hV2J9MBmG5fCzCDtvcIhxatCq6+y16FvuWRe/LNiU62aaMl3IAy21lEa4schDlfhZd\n67Jcl9tHv7NOTQZsUcNYntQbpXeUTuScu0htt8SlTIN1mH5v0ZdmznVsv+/GTmtfi7xmEuaZc7ua\nLNLKyD7IcsR+TE60isRneV7s+Zpzr+R8FiWQ/3tUXpPQ8tjUPyV1NrZZzjWLpsnyWn6pXbTA1Rh7\nue+WnmPE3h2J1Zn1lZVkPFjf3eU0uxY+B02im36ziuiXslkfZ8TIndz2KBrlSpofe7EcYqt2ye+M\nMmmywNQBI+TxeZvz850uNsTnO+st79Ksl1zH6udI/vxJUc9SKaWUUkoppQhP8iw9e/bsNENlM8iZ\nSeVsjHkVbOEZj9ktdswXNWdNs22Lu2bcC5KZAs4+2Sw4Z+Pz9UvvTo7nF7rlmeExlu3Zch3xy9oW\nEOZ3fpWbx8gCTtjiQ96rzeywPDazYbN3NtNCL1wCbHDGm7MQtpjSMkDfEpeBK2w2ZbWA2DydqWPO\nLGV75S2xBc1s/8uyznggAJslzzhiuRdmzu1rOWOYY+Xa4BM8j+V2430fLSBdjS+WXypjiNnm6tqp\nX7Ot1fhiHiHLvRTPEm3LsrfbIl8LBvKy8/z58wd9e+Zhvdrzytptt3jYAqVYvj7LWbjK8XR57pmz\nV8c8GvQsmReE92Btze1dvYT05VWQCltgbuMH6yW/sw+bhy/9ls92znan3lgvZq8kx1iQI17H8vKY\nh9ACBtwq9/f3j7xnrB9TS+w87lZn9qyxQGH23vAU77kF9LF3KLsO+3N+X7132fM/fc7UQhYEa8bf\nHfO/3GdjEL2veV+n3cTztAqYdJSPjmMRy5v7MVvbee0tYNLKq/8UbvNNs5RSSimllFI+Jv1YKqWU\nUkoppRThSTK8u7u7R24tygniUlvJg+Kq5jFZ6E3X2WuvvTYzD115JOfneeJSNEndjAcbMKnD5W+X\n5biUpcycXZJ0pZp0j5iEI3VFqRNlMrbg3uQErAO7dvaZxGO1qDf1a8E7dvISC3ZBmWMkYgxIYIum\nWedZTLjL+/Mycnd3p7mC+PvMWhKWvsc6tMX95j43SZ7lNdrJH022w8Wcl9eYcXmCSdgoJbScZLuc\nMPk/9kHKenKPtEOT0rIcqXOTFLH+THZhi5otQMZq0XKONzkfA2jEzhggw6QsrKtLafAt2dn9/f2p\nznLP7Du2j/dvNprxj3XI6117nkA74/Em50w/sOAf7BsmUdrl+rI8LzynBT6yABmWN4X9P/3N8vCx\n7Dv5euqFwZK4AN3yvFmb2TNwFfDj8tpWHmLywlsNpEJbM6nlZV7BS+z3a2VZtr0KjmTHmFw0sH9c\nG2zKlqlYIJHVOc3Ocw+rnHDWdy3fF5951o+zbRJKPg/Zt3PtldTQrp1jrB2esvTC+saLPsPqWSql\nlFJKKaUU4UmeJS6IPVp4biEWZzwQQr7M+VWZmU8uyCQWrjMeGH692mI1zgSYlyhl5MyDfY3b75w1\ns8WdNlNtizwtOMSMzyDnOvQOcLbd2unIk7bK9G6z7TmPza7M+IxMZrq5aDCz+hbMgufhjMItzXBf\ng3kVVjNY1r7pU/Tepc+sgiykPSyQCv9vF3Y47UZ7zf/ZbNLMeQxhXzZPps3ymseN3hTz0HI798h9\nGRc4e8aZ6mCeGpsJWwVrOPIe7xapmu1amgaOU3Yem7W/1ZDGwe4v/ZEeUfO87xZfH4Winzn3DwtC\nZIu0Z9wDk/NYICFis9QWmtg8H5fbl/tYxlxntfjanoGmWKGtxP74nD/yzNksPcvG8ligCI5JeXbx\ndxvv8jvvwdQ2K6/hrZJ2PvLkrALtHKU2MTXEyvtn/dRUDMbOS7Hz4lroa+u7u+fFUdlW70jpizb2\nr5RgKRuVSuaJPlIqWRl5/MrWUt5dEBljNd5c8lSbq2eplFJKKaWUUoR+LJVSSimllFKK8CQZ3oy7\n7i5ZLdqOxMRkALbg//XXXz8XFO7KuOu4L247Czgxc3bH7VyptoicEp64MS2QAd1/XDCec9rCW5M3\nmByD56FbNIv0X3311dM+kyFdG6+eblGTKVmAB57bXKAWIIBysNTvatHzNa7zW5PlXUpdeH/mkjc5\ngMll2BaRaL355punfZS9xV4tt5bJdojJMU3ux75q8l1eJ+W1ha0sh0lkV8ERgkmBaGdvvPHGzDyU\nBnN8Sb1anh6TRa1keCaXsDwVLK9JmVNXP/jBDx7t47Ema7F2utU8MJeyHfad/LYK1pM62dmmBT8g\nlrMlx+wWqhtWHpOAz/g9WsAEXu9Iqm73z/5mshjafepil5uJRE5sEiTLG0fY13Mdyo4teNEuAMbl\nvVwek3uz8h5JCl9mGODBsMAL7JPW7iZrs0AHdowtZVjlFbPcaRboIP+3aneTytkzYie5s7qyZ5/V\nmQUBIpbvdCdrO3rfYJkssMVKUp/tVZs8lVUwrCed44WvXkoppZRSSik3zJOmMe7v7x991fKLzWba\n+DWZL1mbqbMAD/TovPXWW6dtWwRq2cJJrmkLdFley8LM2XhbwBuv2O4L3H632QHOaFu4WM7+JzTq\najGuzebY4lYLW25f+na+1UL5wPDFaVPzLK3C15pnyf7vVri/v380U2kzXWyf3WJh82ik3668sRYu\n3jwo5jmxhbq2QJ19md7lzO6yP+acqwAywTyd9BRnJto83PxfemvNzlYe1WAzkuaZsyAvvG/zPJhn\ninaWEPHx0s/sF83amLSbqX2Zub+/f7QY30Lesq4ZSOcoyIaNX7vAJHzm5BmwOsZClFvAnV2aAVMZ\nmLd+F0gi/dXC/xN7TvE6sXsL4T5ztk22Q9QVHEtynVXAp5TXPD4WXIW/21hr7bma5c992/hzawoJ\nchkAwcYwUwPNeFqIYGPYqh9a29j/mUfDQu6bt3/nuTBPGJ9PVge74FZWxmvVJislWMq0Cglu9xPM\nQ2hhyVfvjkfvMEe/rfgkQvLf3hOwlFJKKaWUUj4B+rFUSimllFJKKcKTZHh3d3cnF6G59cw9Zi5/\nuhktqEH20W1nsel5bgu8EPf8zNktaOU1SZFlsee1WZ78bm5PYoveLV+ExbWfObtDWZ5d1vHUh7mV\nLR/AakHsUR4Ek1rOnGVVkQTNzPzwhz+cGY/3b4suuc17vTZb9svI3d3dI5nALq/OTlpj/TZtQPmW\nSbQoQzUZnvUjC9zANjfJKWU0uQ6vbXJMk2bughZYXVJqEPkdgzmYTNXsw2QQtljdgjpwe5W7LPD4\n1NFPfvKT077YHOt8J/Ux2VTKcYuBVO7u7k79x+RfGb92eVGIyXMucxPOPJSRHUm2LagNz2WSyV0O\nJ5Yt/ciei7wen1MZh608vMccQ7tmX8/vK6nh5fV4Lua+Sh2Z5I42TBu3PC8W4IHjjz3vTJZvwaQs\n5xLHpFzzFuWu4XI8tDFwFQTCnl+X553x+rMgDOSpUjdiz+CVJD73a8GGeAz7qeU1ij3QLrLN+qPd\nxQ4spx+hDcXG+Iy2oBp5z6ZN8hgLQJSx1WT2M8dByHbvfCv58LXHr7hdyyyllFJKKaWUj0E/l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1xN9TP5y5jufot3/7t0/7vvGNb5y287/mrd0pD2gz5rXMvpXU5loPr3lHeU6OEZfn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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "compression_with_pca(X_train, X_test, 2000)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Non-Negative Matrix Factorization" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да видим Какво ще научи `NMF` в този dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.decomposition import NMF\n", + "\n", + "nmf = NMF(n_components=15, random_state=1)\n", + "nmf.fit(X_train)\n", + "\n", + "X_train_nmf = nmf.transform(X_train)\n", + "X_test_nmf = nmf.transform(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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1GuOVhwDDcVYjcWBVjOBIVjdFFYuV283Fuvn6jgLEwGnsVcRkhaKlxqhDL0Yc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mQbI+2M1yWjnOzJMsYYY4wxxpgFWcyTNULlneq8UmxR4Njt/Fn8RlnKdlkLu1hO/nwk7rNbZo53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KvD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\nUrI4ur5ERJnPo66xMm9LvhbWFg2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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fix, axes = plt.subplots(3, 5, figsize=(15, 12), subplot_kw={'xticks': (), 'yticks': ()})\n", + "for i, (component, ax) in enumerate(zip(nmf.components_, axes.ravel())):\n", + " ax.imshow(component.reshape(image_shape), cmap='gray')\n", + " ax.set_title(\"component {}\".format(i))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "NMF търси \"адитивни\" компоненти, чиято сума може да изрази добре оригиналния dataset. Резултатите са по-лесни за интерпретация, понеже няма отрицателни стойности (за разлика от при PCA). Любопитно е да разгледаме какво са научили някои от компонентите.\n", + "\n", + "За целта може да си напишем функция, която намира картинките, за които този компонент има най-висок коефициент." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "def draw_closest(component, components, data):\n", + " indices = np.argsort(data[:, component])[::-1]\n", + "\n", + " fig, axes = plt.subplots(2, 5, figsize=(15, 8), subplot_kw={'xticks': (), 'yticks': ()})\n", + " axes[0][0].imshow(components[component].reshape(image_shape), cmap='gray')\n", + " \n", + " for i, (ind, ax) in enumerate(zip(indices, axes.ravel()[1:])):\n", + " ax.imshow(X_train[ind].reshape(image_shape), cmap='gray')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Компонент 14 всякаш хваща лица, завъртяни наляво." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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M+vdEVd0fzGhZD5m4U4heVZY+9jAhH6NZCCHUd5J9JkxgNr7HCsM6Ozur09PT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09sg1u91CqicRmnYLRgB5I1332Dk9XNFWiwkigb9MILL1TVwgpg8cEyqRYgjpnlasPqQv+oRcuP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\nv1G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2qHUtkuySpkl20hPlPDE0bQMSpenJk0mu2xNLUwKdy9n6Nhru5DKvXLdS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\nNmhGq9FoNBqNRqPRaDTOGKditC5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HAPJ6PU+Q6dP7hKsLp+eHdH8Bcm2skYpqVWOtWsdVXryP55yaraPoAGAaC1+/\nVa6Wr78UVVLVX61UlAkfS7dDzWHl+mCf/f/A9hzzunWfmlOHMaEZrUaj0Wg0Go1Go9HYM/qHVqPR\naDQajUaj0WjsGecaOkg4vZgowzlhRSnMzts45iTR83ge9qRt+ZraOKVeSfg6LZvkOj3RNYWkOT2c\nKOWRfHEKV/EQyyr0q6KxD431eo3VajVL2CSFHnkCf0oW9TmrxF48cXNOQjDbMPQD2Jbb976rpLwf\nJ9mY234K1XVZYA8z0+OlQsAOt+OUIHxW6YUUCjQqtg1shxckW2X7k5OTg9pyssdRuJOGq3iyciUl\nPRKHSKUoXE5XbXcUqlUJZvieUoV1pfBUv4aqhMMo/DrJVu/Sxguap+8TKYRnFMo4J1RGj1PZ83nh\nxo0bW8ILwGSPtNEUekT7oaAFQ9c0bJZtGCLIkMEHHnhg2NZDtVN46pw9eRRalaT63SY09MjDZDk2\natfcX99//30AwF//+lcAwBdffLHVPx7bC8+mZyrf/zUc0MPNeK9huKLe7/g9hmZRGEDHlu05nz//\n+c8BAK+99tqmDUMHD1GOAPhhfX7xxReb62HYpMIFIFKIudt32i98/0n7md/TPbROj1PdF0d78C6i\nc/r84M8GVTifPzunMMiRaFi6z/lxE0blI3Sd0Ea5Z/CzTz75ZNPG9/C0T6XSCHPQjFaj0Wg0Go1G\no9Fo7Bm3nNFKnhX/pa6/ZN0zOvI6KfxXdBJ18MRpTSjl3yNPgiZ5OqORfo27xG1i7kYe2+TFdm9K\nJXgwx6M8koBPjJbLxVYS9RXreCgsFj8ULE4s4Mj7m+S06fVicrbahM+vj1USKhjJ8upnfE3eE7dV\n9pn9Uo/UHKZnTukF9pXe6kpEhP1wz7KOOdt4n9V7OjrOHKnyStykknc/tOwwgFNS2WlvGe2lioqx\n1vPoq7+fjl0xR9VxR57QxJb7d5J4xeg4yTZG4j5Jut0xR549FVseCdVUQkcVk+V7WFU24rxx/fp1\nvP/++xuGJUUOOKOitkF25Cc/+QmAvM/SK03mgZ+RfaEQBLC9P3JvURaHn/nel+5fI7npJI7g4jFp\nb3d71j3+008/BQC8/PLLAID33ntv61wE+8PvcwxUfvrKlSsAJpaQLJOKhxC+D3A+tX8U4HAGMEV5\ncI54bopjAMA777wDAPjoo4+2+nEeODk5wVdffRXZYN+r0vOPP5P6816Cf6b2TZuvhCDcflIZjNE+\n4fdrP7ab+tKbAAAgAElEQVRek77v6yTtsz4WPKffv/X8vraqskVpLZ0l7pae8XmO9JykLPxZaDGM\nRqPRaDQajUaj0TgwbjmjlbyxI/bF/wa240KTVKrnRCWZTvcAV9Lo/JXrMbP6nv9SV8+Ef5YK+45y\nqSqp7JEscjpeGlv3hrv3Uz1mHmdOj0AlfVsd51BYr9c4OTkp45TnFLh1Zks9hqMSBLvE/KeCxfTU\nOgum53CPVGJY2We33cTujYoJ6nXQa0pvZ2Ik/ByVXTO3gl5tlWV1W68YAPcWpjkf5WilHMtDYbFY\n4MKFC9HTyv7T/timssfkgfQ9oCoI7V7USip7VHJjdJ2jtqPvJTnkqs1Ixr7KC/PjV57uxASfZasp\nKoBIcsjuAU6M0KGYLOLk5ARff/31FvsGbK9D9l+l28l08JV7QmIcmav02WefnTpush+eg3uK5uFQ\nQt4lzFOxbh6P6y/l77F//H7a27lnco9nDpTKnn/wwQcApmK/fB5JLAaP7blaep1ksJwJTPbj+yNZ\nr5Sn4qxciiQiOJ9PPPHE5r1XX30VwDSP5431eo3r16+Xz2e+ZpPsuT8jpLXINs7cal6hr/2U/zkq\nyqvsje/lvDfwtcqFqqTgR+VT9DOPsPAcSX2PqIqz83o51sqs+n7IdZKeu0Y5jMpwc71V96VRHv5Z\naEar0Wg0Go1Go9FoNPaMW8ZoVXlEo7hQYNsT4jlC6Rx8TcpC/us05T34Z+75T2wVfz07+wVMngN+\nljyQIxYkeeFHXoZdVbqc8au8oO6losdEPQojz9ahWayE5HVztaCUBzInt8M9H/y/FzIExraqx3Ob\npyqTroFKdQ7ISntulxXT47aroA2QcXPWWY/j15dYFVd9Sh68kaqa9s/VryrVOF/bibk7FBaLBZbL\nZYxLd+9k8sKPoGM/YsfTXjVSdU1KUr4HJI+/RxCkvKSz4u+1j5VCla/fKn9ijrKc96vKV3PP9Bym\ntCoGPSoqrsceFfg+b6RoC9roQw89BOA0u0F2iXZNm2e+kh6Hx65yKtxzze/ed999mzZkzx5++GEA\nk3qhskHsT8VkjZDyb/2ew8KpVODT9/we4fcp/Yx9fuSRRwBMOVHAxJ5wr0jMi0fheBu9lzkzQjZN\n58MjK/h95osB0/i//fbbACZ27zxxfHy86ZtGUpAJraJ+fK2mPZif8Xieg6h7gucRpf3f27gqon6P\nr8yp82dWRRXt5Ixflevlfdd+ef88t033Lr8uj57RPnLcfUw1Z5O2xWvnfqNjMYpsUyT2cw6a0Wo0\nGo1Go9FoNBqNPaN/aDUajUaj0Wg0Go3GnrH30MEqBGWUZJYS5UbyzTebqO5hK5WQhIdPpbDAUQiP\n/s1ExxSeRIzCAqvQtCTaMCoClyhgDxNI4Yp+rlR8cU5R49sFtDHtP0Pg2P+U2O4S6y5tDowLFid5\n91EiqFLsLqnrCaH6PU8aTUUTR8WWdZ5ox7TZZNf8ntP5PLcez99L8rgE7ZFjqyEkDOcYhfNq/zw8\nLIVRcQxcTEKhYWqHKE/AJG3OpYYwsOAiQ6B4HSlE20NI5kit++d6vCoMdFScN2HUr6owfCU+4Hud\ntvHSCH69aW1W+5eHIqYQSe+foxL9SLLh3jatoRSmfN5YLpcxRJMhPc8++ywA4LnnngOQ12dlN77H\nMTSI51RBGF8D/K6GEzFcj/sORTYYQghMoW4M+aqeP1K6hMP3Tp5bn4F4PR4u5YIcwBQyyH2Bwhcp\nJMpD2isBHRfBSuGzbqOVUA2PqwIoDB19/fXXAZwOnzwPHB8f47777tvspRpWyjGqQvyJkYgFMM0H\nj837TUqJcWGLJN2enimAvP97OZb07OIpJklQzgtTpzBufxas7pv+LLmL0FoSd/NnKB5HC2Hz2l06\nPwmgVPcTf36Yi2a0Go1Go9FoNBqNRmPP2BujNRKbUM/WiL1JhXJHLI7CPXxVArZ/lhgjl69M0sn0\n+PPVC9kCkweAv7Crom0jlk89Fu4BTqwFMUpCBbaTIV2KM8l9+3ilInDuYU2e80MWLl6tViUjR6S+\n8hrpEeEYqbfJx88FKvSc7pmn14XCEvo3z+0JsPqe20SyDfdkJraTNuveqiTKUsnPEu6xS4ncflxe\nNz3L2i+XgKenUOEeqeT941y5pLN6gCvv5XlgtVrhu+++28yXFhalkAA92V5MUjEq6Kvw/TWJ6Dij\nWhWP9CiAxL74XjyH0fK+6LHdG5sSzEdiQ3p8Z12TcIZ7bithiiR17tfJ41Sy+H5PqFjhSuzjVmO1\nWm3mQO+HzzzzDADg+eefBzDdT/U6fB1yPFKhXDLe3FeTSIhLonNcktR6Kokx6hfnwhPxgewl1/f1\n+763p0gLrq+RoAIwMSXsH+8nlKrWY/t6U/GH+++/H8C0r/Cc2i/Cn5OSyIJ/39kHYBIheeqppwAA\n//M//7N1rluJCxcu4MqVK5s9VaXWCX/GTGI8vt71eZF7N9s4i6P2zc88oiWV2qBteJQSsH2f9r4n\nW2N/XKBKr8HXZpJP970pFeRmW4/YUfiaTGvTn5N8/HQP8nXCZwy9h/F7vD62TcJELe/eaDQajUaj\n0Wg0GgfGj3J/JXloZ1L0l7bHRxIpJ2Yk65uK4Y68+vp35Q0knJVLeSr0evDXMl9TrC1fXVZVz+Xe\nL4+N1r/d01XlSCRPwCi/zPNzgLGcdmJVXO4zxdGmeOPzRCVJ6kyP2piPOf+vXiuXQqftJtlbj7/m\n/zWemH+7NKqOoffLmaOq+GKSox2tC/VS+nW67HQqFDuKx9b2zkjo2HrMt+8vqSC6e9ySx8zz1nQs\nuA6uX79+kHzD9Xp9ygOo7J3H0Cfv4hzGaFSuwHMRgYlJ+OSTTwBMeS46Np7bl4rz7lJI0/vH76j9\n+Lym/AJf91UeH6+9koJPBUKBHA3g/Us5YKMixClfwe+Net/UgqGHypFdrVab++Gjjz66ef/xxx8H\nsJ3zoBLktJ+KhWXuFI9NZov7pXrqfcy8CLx+n/dnZ36AyZvvBXxTbuSILU1RPUSaS9oW7ZgMFl91\njN5//30A0xpNUtmey5Yii3h9ZLbI8iQZbPbLxziVFHHWS89JloGM1nnj+PgYP/3pTzfjmubJ2eTE\nunt+pF4jbZMMyii/GZhsk/NVPQvyNTEroxItqdiuP3/QtnS+uU6q0i+jKBd/btLPRgXd9W8eL92X\n2C8v8+DrBpjmhHtIyuNyVo/2WeUrz0UzWo1Go9FoNBqNRqOxZ9wUo+UxjMB23kcqilupVhGjX8aJ\nkfLjeLzprnAVxJRj4/kyydPhHuXk8XGWwfN69Fc6f3X79SUWbcRsAdN8eV4ZPeZaqJGfubdGj+95\nN5WSy6GwXq+j5xfYLuBLpAKBvG56nZTldCUaz7/SuXSbSiysz3OKc3aPmL8mVU2Pe04so7NKyWM2\nKm6Y8krYZ/c+6/Xx+8wZSIWZU+FMv05iVDxXv++qhcpojQrhnjc8Pw3YZkWq/BL3YKZ14Hsnvamf\nffbZpu3HH38MAHj33XcBTN5Z3Qu4X3A80x7PeeBYc78hS6BrapTrWxXkTYyWX6+zBWkPZd+TIqXn\nT7hSrcLXZMp3ccaN86rrhOfyvMJRnvGh7HaxWGz6qMp9vL9wnvmZMloeBZByRVzF120+qYxxTsn4\nqLId7ZpFkfkdfX7g3j7KGalU6FK+o9tJyiv3iBqOKQsZv/fee5u2zjYQamv825VWdW3yvsYxee21\n1wBMyoBaXFrnDdhmAvQcVa6mF7A+bxwdHeHee+/d9CM9q1bqfn7/43f0fs85o236c1p61nD2RnOW\n+Tf3abbVZwOPWPG8Sc1d8kLcKX+ba8D1CTTHj+ca5Z5r/3iuEWul1877EK9bx9bnhv3h9el935/x\neN26Z/i65fFS7uGuaEar0Wg0Go1Go9FoNPaM/qHVaDQajUaj0Wg0GnvGTYUOVnLlo8R7YCxwkUQd\n5shWe3jhrZJjVnrXkxoTJT4S+9CQFk/O9pAypf5Jl5LmTGIJc0IHPVyKFCtp6BRuUBW59dDBKozi\nkDg5OYkhRy74kcKdPIwvhfa4MIGHoKaQIYfaBml7l+xNIi8jmfcqVIPHreSQXShE/+ZY8jspAZsh\nLaT+aWNJzEAT+YHTYhi8di+6mYpjewhLCutyKWKGNel1agL0ISTeF4sFLl++vElMVzEMT6ZPkuae\n9J4KTPo4cr7eeecdAMAbb7yxaevhGwyH0eKvPJeLYaT92sPCPERK3/PPdC5dZIhtdS49fIvroxLD\ncKl6tTHfe70AqR6TbTlOlNxO4dceEqpjy3MxOfuRRx4BkOWoD7XfHh0d4e6778bPf/5zAKfFMCio\nwJAz2nUqIeDh7VragO+l8Gj9HNguzcJxpqQ4MIU1MZzwzTffBHA6VOuDDz44dRzeMzn2c0IHdU58\n/2GfdS5dkID9fPXVV0/9H5hsnevXBWuAcWFw7buH0bMtj6thWC4Mwr5XqSSpmHMKDz1PcJ+t1ozv\nnelewmviOuX+CGwLNoxKkADTfHDufP8AJtvkXuLiGHpMFxRKxXY9PM7DS7WNhxfqfHub0R6o73G/\nTSUJGM7Le4/vzdpHX4vsl+7Jumb0Gjg/wHZosz/76jFbDKPRaDQajUaj0Wg0DoybYrSSdPiIxakE\nL/hZ+jU+pzjvIeGSkknS3JOzk0CBFwPla2K0+Kucr9pmVBBWPRPu3XPpzSQx7gnYyfPvc5xkOg+J\nNO76t3v3k61VRf/8s0pMYeThS4xEVaw1FbrU7yYRAi9fkFg0T5xViVR6jlxanonm6gmmJ4qfJQbK\nk9k9aRuY7M7lWJN8uEu2u8cR2JZcpn3rOdWuD8VoXbhwYcNkpRIZVcL9qMi7jr0nIHPu3nrrLQCn\nGS16F13AJclpV+I5o70gCZ14Mj3tkawOMDEjvkclb6MndKdSDr6WUiI/7Y9rkX1W7yltnvs0/0+P\nbSpn4oWVFWxP5oVzpQIFKqpxiD33+PgYV65cwS9/+UsApwUOaMecn8TajRgQijMA0/h99NFHp9r4\nnKbjuGQzMO1tbj+vv/76pg3nlWPu8tBJAMiZrBRVwv2GY0MmStvTJsiqkSlRO6VADfvjjDIwzYXf\n//UZhuPM63RmS1ka7hm0/bTunFV3MQIdiyRecx7gPpuir0YlFdL65DzRnpUlcVEW35sTw+elULRf\nif0H8rOB9937qX31udQoCt/b2UafF10cxqXp9dmAtu4REtwngW1hGr9fA9tibl4GQVliXoMzi7oG\nUlFzfV/7syua0Wo0Go1Go9FoNBqNPWMnRmuxWOD4+DgWnxvlXyk8HykVM3Mv7O2OJCk/8iTreNGT\nMSpqWbEXKY9rNG7qdXBPZ8XkjKTukwz2iE1L5zxvLBYLHB0dbeVxAGOZ4FSgju8lm3VvlTOZSULa\niz2rZ4trx6XI1cboiXEPTSpOO2I4dCzoBWIeBV9VppnjRM8TbYseKvU+u9eT15TKFlSFmR977DEA\n2wVHeRyVqqVny9nClMvo+QFqA6MY9/MCbTZJt6dCzen7wDYjmgpx05tIrzk95GSxgMnr6WUq9Pgu\ne+5e1IQRA6Dn8DFgvg8weURpu5z/JNPsbGySY+dnLj+s9uhlFfh/lcPn2LkHmbbreXbalp+lfCPO\nH9vq+uX1VXZxK3HhwgVcuXJls151XXpOKMdB91naNcfzlVdeATDJjAPbpV84Rk8++SQA4MEHH9y0\n5WdkwbhH0c4B4MqVK6e+R7ZLPf5szzXAvqfSGP7Mk8rgeN8TQ+FlQXydKNtMdo/zzjwTzUV77rnn\nAAC//e1vAUy2y5wvAPjzn/8MYLItrimOLXPvgKksg7O5iVF0Jkv3g4rtOg/weZZIUSCjItTAZCec\nJ7cRYFs/wPOc9Py0fW+j65xjTnvhuZRxdCl0f6bU5xFep+9r2i+ey58T9X7iOdh8RuAzASMlgKnI\ntusd6Njy2rmPcAyUkeazCSMbvPxDyt/2+5E+Q3uuVxr/tO7noBmtRqPRaDQajUaj0dgzdma0Lly4\nEJWuRsp/iSXxIpn/11gsRfLGeiyrF3oDtseiYoX8XCOP9VkYqTUl9tGPnWKTvehpKox6aEaLSHkg\n7jUnRjldwHYBXmBbkciV/1JMND1RyYPE79FzSO+iskEpfhvI7KQrARGaf0VPND2Y9IiqZ9rjpukN\ncjU5YBon9o9tlfXy43HcEkvFz9yjnIocko2r1FH5XlKW47EPpToIZFYGmPrr8eSJwXTPY1KFZN6P\nF21NxR5d/TTl1joDrNfh+5Yz6pVHmefUNlxX9J7Ss6lsla9JjoF6KQnPjWBbXb9udyk/0aMcPAIh\n7S/ObFfqroR6sfWefKgcrfvvv38zrmqzHD/P00z5mvR2//WvfwVwmh3gsTkvb7/99qnXp59+etP2\nqaeeAjDlsZGR0Vwo2jyVNp05BKaxd3aTfdC2znq4nWsbz3NXVmeUT8gx0XPS5rk2uT50byfL5bni\nqgzJv9mW+y7vQcqwei6sM8Dapno2IBK7fB5YLBZYLpelAiDhqqXANObcA5y5BraVdf15QsfM85rS\ndzzvOBX7ddW9lE9IeF65X6/+7c9JSaWa/SCTzLVFRU9gGh9/btD79Khot9o1nxN8bpLmAN9zlkrX\nEs/BcUoqtlwHrtFwFprRajQajUaj0Wg0Go0940cxWslbWbEt7tW43ZQEbwZeDwPY9gZVKigcQ46F\n57YAY7XAVAOmgucSOdORYneTl4+Y4zm9HRitxWKxpbgHbNcO8bnQv10lMqkOuoKkq47p32QUUk6G\nHy953z0PzL+rGDF2yhyRwaInmKxQUmn0V9q52qDno9COquOl2G/+7XWVqnngeuN1ptonHuuuORKq\nhnUI+10ul7jzzju3VJX4GVArIzlT5IwhMM0PmZhRHpaek8dJe40zMfy+jr3vO55PlPYYv16dD869\ne1xTDZjRetG1RZvimCQVMa8Bk+rD+fE8rr9S3nSvtvbZ9yD12Gp+6CEZrZR3w/5WSr2cyz/+8Y8A\nJpZK9y5eL9syX4N2Q8YHmJgrHoeMlrJeZIPIsnttolFf9ZwpesPHP+WyO9ulzwZk4djmvffeAzCN\nxS9+8Yuta+Bn3Cs0p4q5LLR1tmWOmn7me2aqq+QsQ3qe8xxvfl+fMTiPh6y1eXR0FNl39tPZIL3f\neC5dYrQ8n9IZdt3z0j6t7+uxPRcqRXZ4BEtSwfRItBR95c9JiYH06/Ic4Irl8/uUvuf/17FhXqz/\nHvF9UuHP62p7ZHM9EibtUxrlMAfNaDUajUaj0Wg0Go3GntE/tBqNRqPRaDQajUZjz9g5dPDixYtb\nCdnAmFpP8ETJOWFvtxt4DaRYUwL/6BWYKHpPuEshN/zMQ2/SGCepTMJlPj3hXI83ElBISfpePFXt\nIkkZnyco4ZqSjn3u2CaFULpoiYZuuSwraWW+Kt09Km2gx2M/2D9S2goPDxjJ0fr1ALlIL22T8tl8\nTQUVGZbD4/D4Gv7odq3rg2CoDseJ53z88cc3bTyEheFC7IuGI3noYZJX5phyvHndKmNPueerV6+e\nSp4/LxwfH+OBBx7YFBrVfYPXXc33nBAKD51MBaoJhsjw3B6aCORwZoeLIVQhf17aoDqeFxFPCc48\nnodPaYiMFw/mdScxjJH4k7bx8KAUouQCBSnx3McnFdY8dLgr0wpS6KDLf6fwVwpTcE/g2FfS+p7Y\nrnsMJc3ZhjLxWoyYIXrcd7xMALBdGNYlzdO9wudSr3Nk87r/eHg0ZdkpWKE25yGxHHfd233dpvHn\nPur3a58zvfZR6K6e07+v4a5ezPcQGIXxjspTpFA/F4Konh8Y6pf2D4Yosw2Pq6HL/NuLx1fS+lUo\nq4e70h71mYPhqbwfpecRL5vC9ZxCoX1Mkv14ygqvV+/3vA629fB1nQcvWO7P39rGj6fPNUl8ZA6a\n0Wo0Go1Go9FoNBqNPWNnRuvy5cubX4GJuXAvqnoA/JdmkrK93QUyeH30nvHXPQUB9D16yPgrWr1j\nHDu+x1/N7pnS99wTkLwx9BywTZIsHUmXqveY/UnFqf177FfyQnvy+SFAuwVOeye8aCT7rWPmBVjT\nGLqHj1472rmOAW3DJVjVm0PbogeJNqL9chbSpVJTwWteJ/ugY+FeMHr6dd55fnq4aPM8vhYTdOaP\n51ZvMQU3OMY83iOPPLJp4wwE27CfKjTChFtnfBPbQ3BstdgpPdyfffbZQRK1j4+Pcd99923GOc2T\nv+p8j1ilJJTCc/h+rR5IlzBngrMez8c8iSL5/uAJ83o8F+hJzJ0XTnbhFL0+Jv7T9nkcHVvaFL2x\nXMe6b7sIS/Ji8z0vX8Ix0f3ABQFSwronoSc5ZH528eLFgwkQLRaLrfsisP1MkIqHOkOUBCm8uLiL\nDrE0BTDtIc888wyASTb+f//3fzdtXnjhBQDTfZoCEs8+++ymDctekNV0JkLZGBfIqCJPOCa0VbV9\nzje/RyaLdqgMqz8LJNsgPPJCwfb+/OGlaoDp3uBsbLI734N1bfIch4pookhWKvPi45H6yGtysZp0\nz6CdcA9lpISWaPB9leOjbby0RhJ84v3LBdaSbbjQRYq+4h5KwSxnXPVvvnIfcBsBtvdDIgnfOLOt\n682L0XtxY4WvW4+U0eP4s1QSKmt590aj0Wg0Go1Go9E4MHZitJbLJS5duhTziNxTnDzrqYDfXPAX\ntzI97jX1GPt0zuRdcg/PqKggMP3qpRfMWSt9j56A5Jn2AojO/FSe9OQd8gK4RJLKdrbLc4KAiTmg\nlyBJezqrkgrEJs/aeWO9Xm8xNcC2rHvKS3PvS7oe98Z6sT0dM5cMTXlEtBMf+6ogpNt1auvMqnqd\nXd43Mcs8jtt38pS6Vz/lyNFr5nkFiWVwOVZ6dfU61asPZLl+Xx9sm9bvXXfddRBGa7FY4NKlS1v2\nCYw91olh9fWu+RFaYFePxzlQjx3lrznmzgQD2/HyLgmv/eG52E8eV6WTU+4ikFl89odzqIwopbDp\njeX6dzYMmMaEssFk8nTcXN439dOZDffq617v6zYVlfex5frVtaR71yGjQhJr5wVzaRPJm08GiWy3\n2hj/9nHletXcTt6/POJEJc3JKni+nuZL+d6kfQZO7yfJ6w7k5x1npFPejOdRphw/2qEzAIlB8Pu0\nRuFwDL2kRLqHec54lY/PufZyNsB28fXzxnq9PrVWUu6ky7yrXXuePpEitJh7+MEHHwCY7Cjlk/J4\nHHtl07zwbsqpoo1zr/JzaS6j5yV6tAow7Z2MsPH9W6+Tfea5GSmS1jptlbavLBo/Y06aF5HXfrgk\nPdumwvW8V3hOuvbVn8WrvOO5aEar0Wg0Go1Go9FoNPaMnV0Jy+VyS2VO/3YvclJyqWKX3fvnv1pT\n/GWVPzNHDdGL0rkHSn/hOhtAL6p6xPmZx6urp57gr28fN/UW+C9qjx8GJu+Qe0ST6p8zN+4x1et0\nb4Ge09mP5G1Xj13l+bpVWK/XODk5id5k92qnws0Ex4bjoHHyzi6N8u/0s1EsvLbx2HH1mjuL5nau\n64T9oLeK51QvmBeUTKpIXuiYXuekEEaG1b37ahscF89PTHl0fPU1qtfJc/n1ucdR4XOl7S9fvnww\nRmuxWGyp6QHb+0TKC3CmOeVkcH7pXeQri6Mqo0W7YQ4LPf6a1zYqOp0Us3hs91rqmvI16LmnwHZ+\nAj2vKVfH8ws8f0GPTbtJ+W9s76xF8tQ7XPlQ27I/nAdlAj1fyRVqgW3W4rzBXBdVPyRGqrRq1/Qs\nUwmQHnUdZ8958ygLXQN8jzZFDzb3LGA7P7GKuOGewM9SDvQoR0vnyfMUk3qhFp/Wts7u65hwTaXc\nNmd+eS16nFFh78qe+Fl1r3BGSI/H+TqkMvFqtYrPSqN7sH8X2M6T02v0+zPtj+yrHnc01rqWPvzw\nQwDbKpHKzLhd837N4+u9znOnPVpFj83PKtvg3sm9neyaMlr8Plk+XoMybbR1z4XSZ1SeizmM/D+v\nOz0b8J7F+4GyaB6F4aqSil1Z2Ga0Go1Go9FoNBqNRmPP6B9ajUaj0Wg0Go1Go7Fn7CzvPgod1DZA\nLcdLqtCTKhUezpaEFjxEpgqjcSR618MvnMIHtgt7MsRBkwc94dqpfz2mF3pLhfJITXv4m9LOLrmZ\n6HCnvz2cK81VNf4+b1Xo4NHR0UGStBeLBY6OjqLMvMuyV0UoOacpvITH9kRkzolS2F5kkzR+Kszq\n4i7JJrwPnjAPTGGtLrmakukZasPQvxQqylfS7hpCRnCcmHCekrTdntlnpfO9lISLx6SEVx9btUcv\nPO3JxcDphNlDhLWs12usVqtoj3yvKkLp+3OyLdqChx65lC8w2Q/3vCrkx21VwwFpU1xvLiyh1+ky\numyT5OLZv6eeegrAFEoCTGGOnFMPB9Rx8zBVjpGGhXs4WCU77GudrxrKyrlxgQhKzAPbgjJcHykk\n+dKlSweRd3dhgRQmzzHivVLDnSjD7kWik7CSl3zgcVW0xEM7+f+0FrjHewiz/u37vheMT6jCOUei\nSHpdvt/6vqbH9tC8OQI66X4/Kkqe7t3eJpXycRGDNF6HFsyqhNL82S2VXeAr97cET31JpWQovkMx\nHo6divtw7fg4pgLhnDPai4eb62cM8eOa1D3PS6qkNeTPm/wOBTQYJqjn1/u89k8/4x6cCmp7io7/\nHtBx8zSX9JzkZRW8tI8eZ1c0o9VoNBqNRqPRaDQae8bOroTj4+OSOZpTOM8FLRLr5L+Q57BVzqbp\ne0SSJHVxCGfI1FvgXnf+mk7eRU8QT/Khfg30RuivfXo2Riyfnt+9GWksfExdalY/c9ZB59OTYFMb\nFX9ISfm3GkdHR7j33ns386bXOPIC6ph5IT96fNRTT1lo99g7E6l/e7Fn9cC6h9bluvX77J9LPqvX\n3GXi+X+dJ/cku6yxtvf5dnZE+8rrpYdex0090PqdVLzTPYsp6d7l4pM8OteSj6nuExy7+++//2CJ\n2jY7QpIAACAASURBVKvVaksOHdhmvCt5aN8PE/tHlorev2rfcM91EipwYRllYUcMWyqr4GvTJdy1\n734NyrB6kn/FMnAseTwKM6jXk33nGk/FWr2UgcvhVyUmyGi9/fbbmzaUhPbCnMoIVdEh5wEKuCRh\nHM4H12fyiNN+6M3n9eseQdEUZfuALInPsXKRqCTG43tLKiHjJQhoP7r/OOuVIn/8Hpjmy5k6fw7R\n8XN7TgWv/Rmsui+NnuNScXL/TooS8gLfer3pueg8QaGsimXzZyN9znOGkbabyuT4cTm3uj961A3t\nXIUknN1ODIvPodsRWSZgEjjyqBcVyuL1eFRTYnq8iDDPpWyfRzCkiCq/Fo61jpE/Q7Et9xu9To9k\nYf90fry0Cfuc2OFdbbYZrUaj0Wg0Go1Go9HYM3bO0To6OopePP81yl98KV/Hf8Hqr8NRkcdRf9L/\nk+y8H0f/7550z11SDxJ/CTuDkK7Tj59k50dFf5VJcLnhxDawX57Xod4aZ7T813nyYjszqW2cAaTX\nSj2Cymgp43FeODo6wv33378lbQ5sj1GSzfdCdxwX9XLzb3pcXaJZ5UH5Nz21ieVzb3tiCr3wHvuQ\nPJrulUseqRGjlfIuEgOq59b+eD4mc7aAaZwYm87xUklXfp/XSc8bz5WYQC9FkNgGX38pV+fee+89\naI5WYvhGTHjai30PTXmFvD7uMWyra5W2QeaWdq7H89wn2rnOJY/jxazZRufSy3pQFlkLzvI9ZSCB\n015nl8P3vV3t22XDyRip15nrwxky3YvpFfbcrMRIeL4R1006Hscr5RL5NZw3mKPFuSArCEz9d6ZG\n++pRG1zvahMus+z3Q513lzD3/VLbuO2m0iqcM9pqKlfh0u8pl5pI3ydGc5iel/zYaW/256LEKDq7\nVBWud/Aa0nyOijgD289b543VaoW//e1vW6w5sD2uo5IN2lblyf17PkZkS3RvYRvuO9zPdC/2Ar5V\nsXeOOfvFYuBPP/30pi3PwfnmGKi8uz9bpEgLjwridTNHVu9hPM4LL7wAYHom0DHm/cgLZ6cC0/4M\n5M/LOiZe4DnlqXuuXCqSnNZQhWa0Go1Go9FoNBqNRmPP2DlHK7FFCveIJDUdL9Ka2KWRmk+ldJgw\nyvHS77i309kc/dXr8fbpGrxgYYrHHeWwsb+peDA/o/ciMS/uQVJPknutqqJ83iaNsTNavD7tuxZA\nPIQa1tHREe6+++6tgpPAdn5OUuPzIo/u+dHPfC7pfVJvE+eDnqgUL+8eWu8DsJ0j6POv4LHZj5Sv\nwO+PWGdg7KFNeT0jBTf1KLP4oha11f6lc7lXNuWQuVpjlUfhnlc9zqEKFhM36/H1oude6BWY5oWe\nPS+Y+9FHH23a0vtKm2UbZaucfeO4qjfWbZNjS+9pKkZJjyjbqP04s+M2rPB5TwVnfZw9PwCY9mJX\nRdRcIq4zV8njGtB1TFv3HCs9J/MIeE7PLQJOz/EhGALus57DBkweYu+37qFeMJVspR4nFXMG8n3a\nC++mAufsB8eL+5DOJc/lDJQXqdU2zoylZxm/F2ubkXKwP1foNXiblG/t9189zkjpsLKlUc53+l6V\nS3Qo1cH1eo3vv/++VNH2cdU91O0u7Rc+vx69oXuB70kpz9ULzTvDBUw2TwaLKqxkspRtdoU9j9jS\n6ySqiDafUx5Pc77YD7Z98cUXAUy5qMD0bKA5ucDp/d/VV33vURvkNTNvy5/xdSycfUxRRzo+c9CM\nVqPRaDQajUaj0WjsGf1Dq9FoNBqNRqPRaDT2jB/F2VZynil0cCRIUcmKE1XIYKIy/XgjyWOFh5d4\n+EF6zyl3YFv+OIX6+TlcMCNJwTsdn2QnPWxBaU9Psh3JvKfrTONFutqTSTWEI43PeWKxWODy5csx\nnMhDHxOd7FL6PI6OK7/nSf4pPMnlT5PoCylxvrqss77n88Kwl7Q2KRfL/in97QWvPcxXz0m4zaZ5\nJ2hHKqfKcDCGpqUioBxbH4NKfp5jUgmNjMJ8vM+HsFtKZXt5CGD7mjy0Rf/2PU/nj2uVY06hC/4/\niTHQtlzOWL/vidgKzr3LsvNVz+lhvOyv2uxIRntOWHglgsLrdFEMbcNxYiiQhr96grrLBes69lIL\nXpQYmEKAHLrGVWjkUIXhdf5SuJOH4ug8efgVoddI2WYX00hF5EchcGlfJNJ90BPkiRRS7+eqQn+r\nVAZvk8SQRseZUyTZ+5v6WAkd+ZpK97B0LwVOhxL7cQ4BLbSdykv4NSbxE75XlU1hqB/3BO6dGqJN\nUQh+x4u1A9O6Yv+4H+oexVBB7htcN9xndbw5H5y7JLQzemZOoae+LlLYLPv85JNPApjuC3/60582\nbfg3wwk5frp38jieWpH2UG/LV5WdT3bg18252fW5oBmtRqPRaDQajUaj0dgzdmK01us1bty4EaVx\nKxlPwj3NyUswSspMnp+Rd7Ly1FTeExcmGMlY63FSwpyLYNBrkLwEfs4kBe/fSUnfnqTrY5z67F4v\n/eXuBWG9OJz2x1mQSlr2vEF2gOOhydUuzeyFtIFt72QSa3E5XyZwehK7fs+9sjr2Lk2civWxXy6Z\n7wURgckb67aR5L5dzCBJo/tcpmRoty2XzgYmL5OPafKUjTzdicnh9xP7OFr/+r4m8h5CDGO1WuH7\n77+Pye8cI98vEmvqIhE6b7QJegrZhkV/U5I2bYJtlLXgunJxEbVPX2cjwQK9LvcWp/IMROWZHt0r\n9N7DPnuZB7UB9t1li1VAgR5oZ7L4qmuD48bxT+w1PbO+trWQKftx7dq1g0i8LxaLU/uT2qOXskiF\nxJ11TaU2/B40Yh2AMYuWImw8iiRFsHjEDuenetZI8OLfSUjIxakqARfvZ8Lo+Sg914yeDfT/Pu5V\n0eVUzJhI83be0GeDJILlRX+TMI6zsboXuIy7z39iq7yEjIrGuMAOnzUefvjhTRuWwPB15nak8MgI\n7RdtywXBku17NFcqYM6++/ONCl8w2uXll18GsF1aBNguKMw1yeOwGDMwsWduazq2PB6vhdetok9k\nIqv1ltCMVqPRaDQajUaj0WjsGTvnaN24cWPLq8r3gW3p1VTUkr9uU+7RqLhqYktGsfnJM+pe8+QJ\nHyEVtXRv6hypyyTv7t9JhYbdg+T5Xfr3KH5a3xt5pBLDUcXcjjxR+r7O2yFYrdVqhatXr255jhWJ\nSSE4Np6PlsbBpd+Th9TziCpJWX9NBYZdnpVeGS0MTC8Q23phPwBbBZ3pRdfx8j6zLY+n/eM5nXHT\nc3rxP/ciaptRyYQkH17lbjg7kzy4nK877rjjYPLu6/V6y/sJjL3aVbx8KkLMv+lNZPw+Wdhkl7SJ\nam/xUhbahvPsxaYT+054kV9dSx4hkQrhet5Mlc9FuGxzyjPwPV4ZKC907DLf6t11RttzdoHtPIo0\nFmzz9ddfH4whWK1Wm2tTL7AXEueYq+ef8D00Rbv42Cf78XneZUxSW78/85yp+LQztun5wWXjK7Bt\nKkVB0Fb9Vfvh/9dnKd8H/VXPOdp7UqHnVNrmdsJyuZzFnqYSAi4DTntW1oX2x/ur24beD6uoGYL2\n5uVdNALBn7PTM6X3zwvNV2sg5Qy6XbtEvd573EbZX83f5v3oueeeAwC8/fbbAIB33nln04YsF9cQ\nx4QRF5qjxXNxnNjPNCYct6pE1a57bDNajUaj0Wg0Go1Go7Fn7JyjtVqttnJygG2WJMVEs70XEk25\nJ84GpaK6rvqSFO5GqmIpb8Nfk2pQlUPl/XLPrfZhxPxVOV8j1UD92z20yes8pxhhUmAafWek1qLn\nOlSOFm2WY58K8Pr4Ju+bx5rrtbqn2T2uqbB0yktxuC3oOXk9HPvPP/8cAPDGG28AAN57771TYwBM\nnnYyUOqR4nv0JNHzU61xL/ipNsv8ESod0lOmOXIsSuoKguolHtl8yu90tiexhj6WKUci5S6cJ5bL\nJS5duhTZtMrb5nCWSe2HY8155v89vw3YLjCfWED+7WyaX5eeg3DVTkW137pHOXkZR5ERfm79u8r5\n9TZeyBbY9p6mKArC99k0Fl74PM05vbtffvllZObPC9w70xpyO0wRHh7tkvafEaoc0ZSv6fuFry19\nz/P3Uu6o7//pGcj7l+7t/sxT5b1zn/WCs1qU1pVz0z47QqWc6/dLZSjZH9psWgOjKKjzxHq9jvdp\nv8e5SjBwOo9JocwMx9rzfrhH8B6oGEUwKfz5QW3E91HfW9IcVBFazv6k/Fa/j46iKhR85kj7LD8j\nE8gix6r+6TlVzpSle5Dbo9qeR0SQlU9MeTNajUaj0Wg0Go1Go3Fg/Kg6WsnDVLED7g10z41+5r+M\nE8MyYrsqNZTkIfVf9d42KQKNrluP7eo+Kb/APcFVDpD3J+WZuXegqq9T1bhyJmqOytvN5L/darAe\nUWJdfKw9FwKYPCCeq5by2XzME9Pn6pCVUqZ7U9VjyH7xvXfffRfAFMOsXi2q8DCeO6lWjvLCtO/O\nRHvumB6PnjxeL73y6pFi38m0sZ/V2BKJ0RnlbFQqmMn2Neb+EPkuR0dHuO+++zbzVHkOq3Egkmd9\nVJuH/1c1Jmcuq/pec5g295Kn3AavE5PyUr3vKXfM7w3+nVQPz+81Vb5Cukf4vup5htVcJZvl973W\nma5xZY4PpTp4dHQU58DvD4nF8b2Y+1vK3x6tAT1eytfT94HJ7rzumdoYveOsRUQb5XfSPZ3rhedK\n9Sl5rtTG6zG5+mXKe2dOLvdXZbTYd6/LqAp6Ke8PyIyWz1XKl3UWJD0bVDln54HFYoHj4+O4V/l1\ne54csB2xUqkD+xjR9tKe7Pe8VLvL11BVn8xzyNM9z/OllO30Z5/03OjvcSxoy+mZkDYxijYApvsQ\nc9m0XtiI8eNY6LMG//b9Wm2Pa5Jjy7WubZrRajQajUaj0Wg0Go3bBP1Dq9FoNBqNRqPRaDT2jJ1D\nBxeLRQwHc4o4ScATpAg9LIvH1+9VRfZGYWmJ1vPkU6UDPUSrSpQfFSqe0690HE+grYpu+nFTuIqP\nm7YZhcaktk7LphCCUchgookPFUK4WCxw6dKlWKzPQ/I8rA/YDpNLiaBOQ48oe32PqMaM45pCqzT5\nHQA++OCDU33QAoZPPfUUgClJl+EPKlXrSbVJntuvpwoFYngKpVYZ7vTWW29t2lQSq4SHjnk4Vwpf\n8DFO4z8KF1acnJwcxG4vXLiAhx56aDM/SYzBbSz10z9LIUxeADMVBp5T0oKo5NNd+pvhHCwCqaEe\nPCfDnlQ+nRhJ/qfkZQ8drER9PEwxiSF5WE/aO6uwd8JDLpMNe0gax0+FZTh2x8fHBxMXSMI0wNnS\n4dre5zCJMPhYJZEVv1+lwtLcQxl25wXnAWyF73qo9kcffbRp6yUy0rpzsRP2S0N1eRzuob5W1R79\n3v3hhx8CAF555ZVNG+7/jz/+OIDpPqBr3MMJXWgm7dEeVpfEvqoSDtWxzwvL5XKWCFYKU/O1zza6\nLv3ZkmuX16xzkFJM9Dx6Lj9+CptleKuXgkmFmd3OtY1/xv4lMRVeg4trab993+e4aSgr++V7Z+q7\nh/Px+Cm03UN1ddw4/3zOoqAY9wlvvwua0Wo0Go1Go9FoNBqNPWNnRmu9XseEVy9sl6RSPRGt8vTN\nkQNPAgejNvQgJe+L99mPlzx1XhRO24y85XPkmpOXZyTBmRgt99ymZN2R8EHyvPl1q9eHY+qJnpqY\neUhvFfDDNd11111l8qPbs3pWXNo6eVbcnt37pfM08jbrWvIkY8qY0gMETJ5Uf6W38tFHH9205d/0\nAPF4yTvj9qg2wXnl9dFrldYfv8ck1oceeggA8P7772/a8HrmCFS496oSgaik+D2pOQlF6Do5RFkC\nimGkQtXen8SI+n6TPKVeJNoLA1dS2YkB97bJS0zP4Mcffwxg8hhSyEHZBtoW7cZLMejfvs/qXuwJ\n6qNkcv27YjFHxVqTzHcS8PBjjGTI50jBp6iHBx544FRph/PEjRs3orgDMRL+ALajAZK0uUcT+Lim\nPZR7PL37tDVgYn/4WSrWzXOyDZksvuoccK/ja7LZUSSMjs2f/vQnAJMdkRWgFLheN/dyrjOuZy3s\n+uKLLwKYPP1XrlwBcFpYwMt68BypPM7ofpfssYqQqMrCnCdSUWbfV9N9n3bI/pMJSUytF6j2/Vb/\nHo0vMNkz78W0S9qBvsdoF76yLyop789+/ryj53c2P92X2GfaIdlhHVuuQe5T7K8KuHAN8Xv8TAs8\n+z7r7ydBD9/3k4gd1wn7p8XXKwG5Cs1oNRqNRqPRaDQajcaesXPB4lSoVeHegSRb7bGt6TijXIRU\nmM1/ZerxRp4VPc5ZDFRViDfJBvNv95orXNrSGZfEClUeV/bHZVrVA+OsTCV9PJJ3Vw81vSvOEmiM\nsucgnDcWi8Upz0byujlTk/KleP1JFtuL3zmDkLzw7uFLxYhdplRjhekVYm4WvWmeJ6DX4F6rijVN\n63ckcZ+81+6pp4eLHlNgytdSj5Efj+NFj5bnbCWMcneA7fWfivlyLWpu33lisVhEJlr/rqR23Y6T\nTLB7VH2dJ+n/UakM/cyLlyYGgaymewwTo+5RBrovOnOZGK1REVk/j/5dMayen+hFM4GJRaPNe7HS\nin1MY+tz7kwOMHl6L168eCpv6LywWq3w/fffR08x4fd0bTPaD1NplVTAXY+rn9GbT/b8r3/966YN\nbdMlqHU/ov2RheUrj6vn5Hvcqzj/KSKG5+BaUKafOWM8NvNtf/WrXwGY8l6B7XwZrmvN+eI9wiNO\n9D7Nv2lHtOEkne8sXGozup8o0jPdeUMjtNK6dMn/dN93m01j5SxsijLg3FURGc5kcZ9Vm+WexGcC\n/t/z7/Safe+sZPjTfPn3XCZe93aeyyMc1B7Zptq/+TdZM2f8Wc5A2/p4pYLFHjGQngF2zd1uRqvR\naDQajUaj0Wg09oydc7ROTk7KIp/u0aq8nhUj5t5ovqoHYI7S3ug4+kvW1dM8fjpdb1Uk2dmlxKK5\nt8sZraRck8bUx8I9J+rZokfDVWRS4WhnKbzwHrCdo5XYAR3TQyi4kYXl9STVQR/XpNRIpFwv9+i5\nYlOlzpa8el6MmJ4fzdGiN/bzzz8HsM0mqoeLni3PT0mesiq/jDbFc9GrRhvT3Da/9qTWyOvjdSU1\no5F6GL1/yVs8KqiZrt3Xvvb10qVLZeHdW4nVahXHjGNUFaEcrWsdV1/fVXSBM/Mpl9VtgjZLbzow\n5bXwPXrukwfS10DyLrpXOLGw3ucqrzflqgLj/D09nuaX+T7IufJ8OO27I+UOjPLz9NhqN+eJ1WqF\nb7/9dsMOJRVeX5eJuU6fESMmJTEqtEfuLW+//TaAiVX19sC0l2q+C9u/9tprAKZ9l/3UPY8Kmcwr\nJDtEFh6YbINrgKy+Ksp6MWPaFiMbqCIIAE8++SSAieXiOVV1lvcCvpJJ1mcMnoMREZxHXl9VZDvB\nI2DSnnFo1cH1en3qeTY9Vznbldig6p5JjJ4jEnPkSPdpzpe/AtvPCzw3c7NUVdMjTTjvVWFv2oSu\nUZ9fnpPf0Wvg+WlrZLQ0WoG26syxHscjBXQP1P/re4QXJ9a/9XvAvPk8C81oNRqNRqPRaDQajcae\n0T+0Go1Go9FoNBqNRmPP+FEFi6vCwIkqTlK43mZUUJS0agodnCMP7SIESpufVWy5kpBOBSsJL3Ko\n9K6HkbDP7J/SqB66k8bd+8PjqviAh3i5DGYKLfJwvySVXYUO6nuHCh28du3aVnK9/u2hA1VoRLIx\nFxDQ8AJv6wUGK5ERhrB4QjcwhQcwnIRjznAsLQxMW/Kk7yTP6smsSVjAw65oYxqS4MIZvD6G8ABT\nyAD7zv5pqI3PBY/noQ4KDz9O+0sl7DCax/PEcrmMoWwuCJDCykYy2MkOPUw6FUd3sRt/BSabZQgU\n51ZDByk57WINDzzwAIDToYMepspX3aN8LfIznUuGroyKCCtcYKSSgPe2OhZeUDgVFSVGIdrpvuk2\nq208lP28cePGDXz88ccbIYgkQOQS10nwwwWEqsLS1b2Jex5D/RgCqPd99pVjxv1W96iXXnoJwBRu\nx3t4KkZM2+d1MlRL78H8m6/PP//8VhvOJfvKPZ22rM9AvAYvNP7zn/9804Z9ZPgj7x1JDIOvHkJY\nCcxUYmH+PJhEhw4Vng38YGepXMLovjNHuKO6b1RiPG7XbKvz5GGgvP/TRoBpf+Ua4P6aQlk5vx5C\nmMLC03Osw20hpTKwH7/+9a8BTHatzzdeliHZyKjcRbUXetpMCnHmfYjjlOa8KimV0IxWo9FoNBqN\nRqPRaOwZO7lsF4sFjo6OSjlMZ6RSG/4irorzjkQw1FswSopN8GS6JPlMD0DlLfaER/Yr/eL2ZG31\n8tFzQE+CF0BO/Utj6v0iW0XPViowzDb+morx+fETo+WiGMlTdu3atYMxWuv1OjIXI6+Ejv1IcEXh\n3hFPcNc5GBXM0zaefJrk3fmZe3OS55ZMAj01KZl1xA5XifuedEoWA9j2evKa3njjjU0beuF4XCaj\nV0W2iSR84N7wVOjbxS8Sy8C+r9frg4ph8JqTzY48rgnJzl0coooyGJXIUJt1W+XcqpeSnxH0mrOA\nqrKTzhSRGdM2XsoijYG/52s0CSi48E+SAPa1oDbm1+mCHgpdX3ruOYyWHi/Z8Xnixo0b+PTTTzfF\n0fW6eH/we0iS6nc56CSmNZKJ1+O5HZKtUm8+2aDRnALTPuoiHYmV4zkp1e6S6cAkUsH3eDy1axYS\nHrHXejx+j+PHz9JzEsfH5b/1HH4PZ190Pv3+UQnVEOm5q1q354XlchkL8LqtpXIDLvyQnpF8Divh\nHn9GcVZH3+PckWnVyAGyR7R12oQ/cwLb+0/ao9hnj7RJcuwuCMa+p6gAisf8/ve/BwD84Q9/2LQh\nK1dJrPt7HGMvUq/n9Od2bePPPCp0Q4zul2ehGa1Go9FoNBqNRqPR2DNuKkeLqAq7VuyFew5TTo/n\nZKWYypEcb+UlSJ5sZ2b8O5WnY+Rx1zaJjeOvZXoZ6MlLRe+c0UrgsSvZ6lEuWvI2eY6Ny5Frv7wA\nYpKNvXr16kG8rovFIuavAONcjORNTsVvvY3HrCe51hHbkvILXOJUZYd5bPfCcOy1ACZZLtoYbU49\nNu7hSSyse4rcvtU75gU0iSRDzjHldabi385AJE+Xy7ImdnjEaOlx2Oejo6OD5g+k0hGj3NDEule2\n6wxtZY/OQPD/GqvPuXNpYbKU+j3mDPA12SOvj2uAzETKl6Vt0IOrx/F8u5E9af/4Gf+f8nndy5vy\n1bw4ZmIjXQ497UF+z0klIXbNGdg3Tk5O8NVXX22uWXOORkVRdZ17DkxVBN3vRTy+MjTc/7RgNjAx\nNMBkL9xXue61ILAXe3V2Sc/peTNenBjYLolx7733AgAee+yxTRu+x1euE2XjCNodx9LzcIEpkoHX\nzjYaIcE+OptLW1bGzfO2kqy5P5ulPcjX0qHgearA9ppL5WGc5ZzDzHmkkO4/nsfmuVHAdpFf5hOq\nnbM/tDGPQNA9mUwY55/90XxZrmUvW6N9973OWVQdG14Dv891p0ztH//4x1NtOTa6fv03httu2kOq\n/Hk+s2i+m7e5WTSj1Wg0Go1Go9FoNBp7xo+S1UoMxS6//pISjefEOJOVFLjcs6K/dN1znfrsLIN7\nyirVsgSP40wFQ93b7uqDKRfKvfip4KP3M3mmncGi1yHlaPn4JzUyV8JRD16Vn3Ae0Pys9Jm+VqqD\n7mnWcXCPlquMpTxFzytIOXkeo605CCOlQ75qWx6HnlZ6tNR+PF+PXkv1ZHougxfkVhv0MeFx1SNF\nbzDZDx5fvcSuiFkpntKD5+pzOv6+xqvcvTvuuONgjNbR0VGpkOdIuQO+D6Vr5PwkZobw/YJtyWIB\n0xzSs8rPNL+AnlF66qscD/5NO6bnVfMAeQ5nypSR4Lk8V8IjABTOwup+xjElu+DsobZJ+yGQcwf0\n3qDH0HNwHlNep871IXJeVqsVvvnmm821qkfcmdWk6umRIUnNd6TK5ow4MNkh7c/zVIBpHvQ9YMoZ\nBKY9hYWBvUC1qrsyF5ZrgWOhezvnm/bD/ZD5isC059J2OZZ8PxV09+ggXeu8Pq4PnkvzZTl2vF5n\nKJRt4N+eI5mezbxNytU5ZNQAixZ7P0Zsie4XVaFjYlTg3J859T1/JtD7IaNTmJvF/VD3AtoUx95t\nVZlM2gCPw7a6Bn73u98BmFQ0eVzdZ/hsQXvhcZKKNvvO63v88ccBnH7W4Lplv/xZFTg7vzjNpysn\np3si17HuJ8TN7q3NaDUajUaj0Wg0Go3GnrEzo7Ver2NM7kgNa+4xCfcw8hdxUnRz71fFaHn/tJ/u\nkahqkVQedYfXSKrU59y7k2KBkwqiw8c/qTY528UxVW+B5qkA22MMTF4GV8nTmGLNbzgkOPbJg+E1\nUUY5Xfp9nR9XEHIGIamDef6H2obbBL0w6iV2j7znnug68bhk9zoB2/k3zsYqOF78zNkwPT89pPTg\n6vG87kwaC3rKXMUwrT9+b5RLBozVBkf1TA6hlLlYLLBcLstzV8z6aH9I+yxtl2u3Wq8cX7bVWH96\nSX1OE0tFu/NaXuqp9xh/Xq96GRlLz3O+++67AIBXX31104bsljKpep16vW7P7E9S1+Lx+Kr5ge7x\n5Xqr6rNxbfMznSuOhXvVtV9Jxew8QUaL61UZEK+J5rmdwPZ9eU7ei0dUqOefNurMre7nfI9zl54f\nuG/Rm+855Fo7kEwR61WxD8qQ8jhkDHh8feagLfDVa26mGmXOZKWxpcoi88Fef/31TRt68ckg8Nw8\np7INZMg4x4kt9Jy2hEPsrX7+k5OTeJ/2+2liVEYRB7q+R6p5ibF1+6M9pxpZXoNS9zdX/qStcl/U\need7unYA4M0339z8zTzF3/zmNwC22Xxg2pc1Jx+Y1qbWptPzA8Czzz576hWY7I390pxzwvOTF0/A\nmQAAIABJREFU/bkpPcf7/V/nnH1n9ASvex/1NJvRajQajUaj0Wg0Go09o39oNRqNRqPRaDQajcae\ncVOcWAoPrAq67gNJhMDDp6rQQQ93SiGIjpRsVxUs3AWkVn3cXEIT2Ba/qMY6JW2O2ngycZILdmn6\nFDrooWga0nI7hAfcuHEjJvkTXnAwlQcYyWDzHPo9D/9JRaNHAix6HFL/Ljet53Dp6FHJA/0OXzV0\nkH3lOVMIk48hQ1qS2As/8zAsPR5DWUjRu4iIXhfHjeE46ZweDsdQFl3rPu4pHFfn6BCy2RRwSeGB\no8Tf1Mal61O4q69dvqr98Dgce4ZzaFK1F7FMyd5sz/Hl/Ffy0B7SqnPpe1PafzyUjSEpqbi6h2gR\nGi7kohUuYqRg/1wcQ0NRXEiAx0tiGD4muh415PdQheFv3LixsQMVAPEwKb6mcgNVqKDf3z10UPez\nkVR2Kt3he5SOayrcDkxz8fOf/3zzHsMCGa5KUQydbwpc0NZ4HA2789IYlT0SPsbpfsLrZGjZP/zD\nP2zaMCTt5ZdfPnUOnjuJ2nCMvcyCnstDtHT9HPrZAPihX0nUYnR/TiHmnpaSQrRd+Cfdd3gcriGG\nZlMAA5jmiTbKkEHOKbBd5oJ26K8KFw3SfZthe7RvHl/XCe8JLn7GPf8vf/nL1jldMl/DU/0cHAMN\no+TYeai2P+vrubw8j/7f9+l9ohmtRqPRaDQajUaj0dgzdma0jo6OIuviv9yrpPUfg1QwdxckZsZZ\nAPdUVG2TRP0cOPPkrFz6NV4lU4/GueqXs1bJw+RyyInR8kT6m5mXW4X1eo2rV69uXYf+PUf8xMex\nEtUYCboA20IAqeC1ewiTNO6ocG1iO5MHWb+rf6eir36d7mH3Qsh6HPfG6jnZnm2cNdS/vYiznxvY\nln8mtA++tpO8O71w33zzzUFtOSXsjhj1JK3sntoksMO1y1cvKgtM9ktPq38H2BbBcIZM++zecmdn\ngcl+vDgyPa8K95arnbtQj38nMZbsB/upnnr2i220iDjhDCL/7+OoffY9OLHq7rGtWMzzxnK5xF13\n3RXlnPme72vJm+x2Xd2TeI7EZHK+OWZkT3Uu/V6b2DSfQ48K0H2S+9mvfvWrU/2r7sE8ju6d9OxT\naMNLE6Tv+5gktpPvcd0988wzmzZkCiiLTxYjlR/x63WWBti2wzljfCik6KSRcE8lXlFdo99nkk1w\nrMlkUZSBLBawLbdPURUtD+DHc0E5MlPAJHrC6+T1JUGzV1555dR3dL65p/leRSZK78FcM2R1ycbp\n3u7PHxwvLczM+7QLbSUWevSMn4ou+70iYVc2thmtRqPRaDQajUaj0dgzdmK0FosFjo+PI6M1yh86\nlIdthOQN9BwBz9XRtv5LOMW0el5PVfjYvc2ed6B/O3uR4oXdY6J9d/at8sCMjqttXbY+ydgfGqvV\nCteuXYvx06nwM7/jbYhkP54b5MdRT6vPS5oD9/SnAqUep+9xyonhUG+uwxkt9iEVVHTp5Sov0z0/\n6TrpGaUXS5kNj5V3eeUkz+37k46brx32T49D6dwPP/ww5kPcalDePeVWjbzjqYwD4SUugMl+PGcw\nHc894hwrZWYo78vPkgS526GzSil/xnMHtV/0iDrLpef0gswuuZ3GzYta6nh6rmDyfo4KzPO69Tr5\nfc9hTEWNiZQ/OdrLzgvL5RJ33HFHzEsl3J61r3MiQzz6w21O54J7yMMPPwxgYofSHuhshXrTPXLA\nveVqey5znubJC7mmnFpfv86waltfS4mB8iLLPJ6uExYzZs4ZGepU9mFkq1rigGPo4zYqo3EIUN69\nYtk8SiWVfvHvp3svj+N5yLq2mU9K1oZskOZUefFpsp8pF3ZU2khLL9B+0/2U4Htk2DRPivCyArQF\n9o/9BbbzEjlGun75HvvKvEe959COOV5ezkVzvjyXNtmclyip9tJdy2g0o9VoNBqNRqPRaDQae8bO\nOVrqaVW4Z+ZWqQ/+WCQviv+6dVYutfVfxuqlTGqFwGkvk7Mfcwo0jvoHZMYJyEzbiP3S4/l7yRPg\nDFZi0Q6N9XqN77//fuNhS7kPzkCql8lzYFI8+UihKBU5TDkw/n9nLj3vRc/lOR7peO5JTopwI7Y0\nreM5TCjhtpryjei18jyh6hwp78jXQFoTozZaCJeeu6+++upg+QPL5TJ6930+0vyMVFjVDj2vhdfp\n+XIKehDpeVXmURUIgezNp63S21nlNvJ4XqRVvZ68BldwS4XXfa2nqAzfB3jctO48x01tzFU06Vmt\nFAqTCiIxuj/dTvvscrnEPffcExVS3aPOa1TmyBmtNEaeA+xMluZvcMyfeOIJAJNHXe3aizynvM/R\n3pmKyfJ6vOCwFjUmaFNkK3T98Ni0I7/PVnmurm6n1+C2q88gHENXYOT7amtswzGl8h3z4IBxRFNS\nhD5UkW0qZab15M9Kqa+uGKrHJUaqhXzVOfD9lTai5yQDxXsm10BSgOU5OS+eUwdM80Rb5bmVkR4p\neKa9irliXH+u7Kn9YL94bh0LHpt2yOM++OCDmzYsUE8b5XXzXIm9drvU+zv3D94/Ur7szeL2/DXU\naDQajUaj0Wg0Gv+H0T+0Go1Go9FoNBqNRmPP2Dl0cJR07dQo6e3bSRgByGFyHiZVhU+N6MSU5FkV\nwnW6uQpX3AVVgql/5iFkSWJ8F3GNXSXuzwPr9RrXr1+PBXPdNkk163ynMLuz4OESyX4cahvsq89B\nCqlL4in+f86rh0MkSpznrkKA2YYUPV9VTtVDvlzEQt/zJHQ9jgu3+GtF63soWHrPZZGBKQzj+vXr\nBw3PShK0DKng/HgCMLBtqx7yoX8zVITwgrzAtkwwQ1o03HJUqFjHjyFUDBXhuZLgiBePTKJKHhqS\n5LS9ALDLNacQ27PCcrU/PJ4ex4tBsy3DaSg4k/qepLzZ99E69vaHwHK5xJ133hmv0UOZiLQXeEhv\nCu104QceX+eAIYOUsub4aLirSz2zPymkjuvEXzV8isdRUQjgdEgdw6Y87FEFD0ZF7fmdVLqDcBEK\nYNt++R3dZzm2FALiGHCMNPSLY/rYY48BmARH9Lp9X03CEYcKGVScnJyUJQT8maka+0q63UVV2Ebt\nkXbM+w9tQ6XbH3rooVPHY1u1Q84d91tPe9BQaA8d5J6n6442y/fYZ71X8DMvD1OVJvC1rvPAa+ea\n9BBCYJK991IbDKtMe6g/++q9h8fx3wjp+WFXNKPVaDQajUaj0Wg0GnvGTozWer3GtWvXoifCf/Gn\norq3A1JiuHsvvLjtnIK26ZfuSP5Tj53YLj2u9sePW0mMVx5BB8+dvNneH/XW8Fw3w/qcF1arFb75\n5ptyDt1m05i5BzzZ92guE5NZFb509i153Fy8Ip3L4Z7MSiTCz5Pg8ump0PAokVb/dsER9bR6QU96\nTauEV18vlXyvJ7cDk1f322+/ve0Y+ZEsdGLUeW1JaIFeTZc053in4q98L8lD81wuaKLy116E2Ocp\niRAQPFcS1+C5nBVSeJHcJCk/EiRKRZJ5Dtqq3k9c4p7sh5fw0OPwGpyB0+954eNUlHa5XB6EhT06\nOsKdd965Wacqrezy5Fy72n+3Q38f2I444Jrl+NArD0y2RjtP9ybaAj3hZGhZrBeYisfyOMluHH4f\nqASF0nW6p9/XprIgfM9ZYbVh3wcS0+/MOPdZMijKyj333HMAJin49Nwweh7Ue+uhRV0ohuFMsf7t\nzw1JSML34iT45OIXSSiL9keWimOmAhC0a9ol95ZUaskZ33QfcObJGS49RxU148XI+RntSGXZ2Ve+\nx/HS+74XvGc/k9CR34/4qsy0iyLxM2X3eO9ypjsxWl2wuNFoNBqNRqPRaDQOjJ0ZrevXr0cPcVW0\n7XaH5xg526AeyBFbkX7hphhP4qyir8m7UnnTvKhtYrRGbGMlxT/KaQFqudjbBTdu3MBnn3225X0C\npnmtmKMkA5rOoW0dKa7bvWDJy+2ebO27ry+OfSqK6vkyqZisx9Knfrmd0ANEDxy92cDkAWVMNT1S\nlYQu2+g4ujysyxinsa3KDPg1cL2oPC7l3b/88svbwqZ1PNwrnRg9Z9lT4WaX0fa8QL1ul/P1V2Dy\nTrp0t+6X9Ni69zTlmfl6S0VueRz21T3/wDZzx++7ZxmYvK+0Y5fOTsfhZ8lj6/sC14uuE+9ztQcR\niRE8tNT7crnEXXfdFfcNslue65fgnvB0XRwzz3PScWLOk++TaZ17nov2b5SjnO7t7LvLVqeitLQb\n5jspg8BzkbVgG8qoaz4Xr492zrwVvQZ+xnPzGvScZKfInvCVbK4ylFeuXAGwzRoq0zaKAEmFlG82\n7+XHgs+z6X7hbGIqXu7PcFVOvzP+HAeNpOB80w5571Qb9qLG3HeUVfS93a9P1yaPTXtJ5SpGZYB0\n3nhMjzRJ69eZP15v+l3BNs4o6zk8oio9jzqT5Wy2/u17cWIxd7XZZrQajUaj0Wg0Go1GY8/YOZFq\nsVjEOEVndtKv+0N5LnaF/zJWz617L+YUaE5tRjlayQPgn6VxdOYlKcvRA+BxtEm5zj12ldJVUpS7\nXbBarXD16tWY4+FzkApC8hqr2FxnxNw2KgY4MW30Tnnssp6b3mEvrqfXTXh+FL+jdu3KkzxnYnPd\nS5wKF9IDSs8ovbLqzfe+J4Urwj3/KUfN52hOblvK2aSX8euvvz6ImttiscDx8XFkU9lfjzGvmMek\nCuoMke9RSV3U14Kud46fz4EWGGZ7Z4oqZSpXzFI1u5Gqq3p3PRfC15sez/OLkrKl58hVa9vbJk+r\nF4qu8mR9PyALAUzz/+WXX5b3oluFixcv4oknnohqXs5Cc79Iio8+L6kN54f/T3lYPP8bb7wBYPJW\nq8ommaGRbSj4GefnkUceAXDaZtnX3//+9wAmBkrn+7333jvVlvlOZIn0epgr9uijjwKYCgRrDhmP\nTVaOLJ2yXizsyrZkSp555plNm9/97ncAgMcffxzAtBbSc4nfj5wtACbb97y6FGlxKJDRSn0b3dMV\nvl95VElqy1faoxa8VhVXYGJG9TyeT5iYNt/z2PekSMm5Yz/8/gJsPxNwvJQN8nsM7Yd2oPd0j8ZI\n9xOuM7Kuyvx5G39ecBZRz+H3J312IaPI8dJIBr/OXZ91m9FqNBqNRqPRaDQajT2jf2g1Go1Go9Fo\nNBqNxp7xozTYq8TdJLxwO4aW7QqnlOeEQ6bEWQ9TcGo6hX84/ZlEAzwMK0kd+7lTGNZIml7p2Ko4\n6e0CFtJM1+hhESn50ZE+OytsNiXHujx0KvZbUfUu0uDhSRq646EEDE1R2tzDR5NUvYcTcv55HE00\n5988VxICYJ+Z+J7ChdjGxRqq0K0Ko/bJrg9pz0muXeHiNykkljhLDlzPl/Y1zjsLQdKONPmd7b1w\ncRIT4fc9XE7t20UV0vG0/ajvHi7jEvBaAJP98YRpHU8PrfFQIGC7KHIVUuR7BtukUgmcK4abMaQM\nAD788EMAwGuvvYYXX3xx6zy3Gvfccw/+5V/+BX/+858BTCFywLZ0PW0kCTV5mQkNC+I+wfmgUAOP\nq6FXnGeOC0OjdI9yW02FfHlOhj7TXv7pn/4JwBRCCEzhTX//939/qn+6lnl+rkWGAyYxjF/84hcA\npsKzScyAa5DfdxlrPRel2p966ikAwPPPP79p8+STT546F8eC39X9kdfD8Ut27WHgHnas7x0i1BWY\n5N0rgQNPJ0j38ipk3cO/OWZpD+W+wTngfqt7Ae3HpdFT2DX3VdphCiF34YwUOu7PKjyuhti6WIWH\nkusamHMv53XSfqrUD7+WFALMcfb9W0NsPaQ5pZIkgbw5aEar0Wg0Go1Go9FoNPaMneXdT05O4i9/\n97r+v8po3QwSAzVCEhwYFfZLyX7+napYrifCp1/ujpRQfztIYI9wfHyM+++/P14P+z2HHZnDeo08\nc5W8fyqK7VKpZHpSQin77J6kVJzWZbmTmI17vbRffs0ukapefe8PX+mtA7ZFB5IHyW10zlz53pOO\n555GtWGV5T4Eq8Uk7YpZ84RfnSdnWzj2yWZ9XFMxU3oy3UOfyg1QbCBJPo9YtJSMTuaA56Zstdq1\nFyxO9xxnakfF37V/LmesRS09qT3JBHsSOq+B9p6ES3yPSEI19HAzSf6xxx7btCG79fzzz+Pf//3f\ncd5YLpe4fPlyLMrsQhJpP/QivamIKdlw7oPOBqnwCo/H4uMU5XnllVc2bSgq4YWP9V5Ku+G5yAbx\n9R//8R83bZ09TSJYZJW8wHASmyCbxmvxIrXAtsQ9j8P+Atvy8BTeYF+0Pa+Bdu0lM4C8R+j16jVw\nzp1R0O8fUt5dn0lT8fKqsLTvBYnRGglm8Ly6t/A9zjvnlvOu3+d8uCS5/u37amL8vaQRj6/3V7fr\nNP/+vODPhGo/LvjD4+j6ZZ/1/qHvA9Me46UgEsvn0Qlc85TJ12uuIsdGz8VnoRmtRqPRaDQajUaj\n0dgzdma0zmKl3NN8s78A//+KOYxJJV9NcB50/D33h54Fvqr30BmOSt790DKtFVwqOxWfc6hnbk5B\n6ZFnzvPltO0oB05Bj03yjDpLQc8PPWTqKaOnyNeuepbcy5RKG/hx2IdUSHuUe0LvKjDZm7NyyYO0\nS5FtIs2dz1XKabsd7Hq5XMY150yW51IkeF6gft89tyk3z9uQQUisl+eDkVEAJu+h592RoVGp9aef\nfhrA5Gl/6aWXAJz2erIfzMPheJF50z7ye5znhx9+GMBplpismcffqx0wpp/HS3K/HDsyUOwPr1Pn\nYSRRnBhWtuFxkl3ceeedB8l5+eabb/Cf//mfmzFU2WruRc5sVYVAOZ7JE05mi+NLZkbzr7gfcqzI\n+P3617/etHn11VcBYJNXxr7r2Hs+Cl/JMtD2gIkpIuNETztf9djcV5PkP+fSIwXohde93Yurcmw0\ncoBrk2NBZov/9z7qdaZi4s56eOFx/b5Lv+txRpE654Xlcom77757Y6t63/GyEl6GAdhmeJKsuO/T\nfm9J5QFoG+yX5h7StmjfiSkcybnTllNBbp+LVOKANpJYK39uZT8T++X3KvZPmVqPhOFa13uEX4OX\ngEksLF8TO+w269/1Y+6CZrQajUaj0Wg0Go1GY8/4UYxWUmAZKdoB+Rf1rvi/VADZWaVKSZBwDxVQ\nx9gSIwZBPaX0xvA9vnrhUD+/9kE9MEnN7HbDycnJKa9FYnF4TYld8jmbU4jb86f0cz9HmlP3kKWc\nGM4ZPZieg6JtnRVKhYG9sGRSKPIcL7+mVBybuRG//OUvAZwukklWgB67xDryb2fc0hpwr1waC1fI\nTMW2k5f5PLFYLLBYLGKO1kjpqtoL02duh646WMX8pwLnZJfcE6q5S2QMON88F4uk0tMOTIwT1dDI\nbKnXnF7Ol19+GcDk3eV3FVTBIwPB3Bq9Bqr18Ry0CVWmeuutt071ndedGFHarKtqqlfWlfMSk8Mx\n9Rw5zS8g2/Htt9+eYjzOC1evXsWLL764YZVee+21zWecl2effRbAaSaF8L2Oe4wWKvU8Ii8wrWwD\n54xzyTFXRp2KgbSxN998E8DpnBj2g3PIeX7nnXcAnGaXaL+0KfZPr5fsG/tc5cuyjee/6BrjHur7\nt44Fj0P74Vik4tj+HJfacF/0OUuFcN2eU8HiQ6kOXrx4EY8//vhmHaVnW99fEyOXPnOwravx6bV7\nnpQzmfqeR5zoPdnZUtqGK7jqe7QpZ0b1M67tVMTa57LK9XY1Zb9uYDuHMeVL0a69yLnvpdpn7kWc\nc80Bc4bSz61IjF+FZrQajUaj0Wg0Go1GY8/YG6PlXveUV+Kewl3gv8r1nM6+pFoNrjL2Y+FenKQa\nR2+Qe5v0b/cKJRbE2aSUu+EqQfT6aey1/+L3/qlHxmOJ6WHQueN7t2P9LOLk5ASff/75Vpy6ovJa\nJVbkrO/7eOh3PZbZFfeAaS4rT5l7LjnP/L+ek4yee0/VW+k2kDzr7M+IodXrZo7Ar371KwBTTRgy\nXMAUg87rpXdJbd/HtjrnyBNVqXMm5u52sGf1DielzzkMVmWXvne6B1Hth3uJM446F75OeHxVP2Pe\nlSsTahs/P+2S7AO9mNovrxOjtbHYZ56DnkzaZcrLYL/oPVZvMT29PAdZNWXNacdci2S92E9+B5j2\nZM/L0X6xDfvxwgsvADjNtHEtffXVV6dyOs4L3333HV588cUNa6m5S7Qt7jeJ/fT7Mv+vOXn07NMG\nRowhsL1/JUVKZ8SYY0U1QmBiYTkvPC7HW9kGvsf+cJ7Va86//TlJvfmeA8v/896lbBXPz/75mgC2\n7Y/XnWr1+XNb2mc8LzE9z3Gceb1pn53DBN1KUJHYWVQg14oCTvef1+3Xke73nveZGEOv48d9SM/J\nueT3uK/p3s49jq+et12pIlZ1ufy5pLpPezSGXr/njKX9wCO7Ut40++NqpKl/npvF3GFdd/6MkerD\npufzOWhGq9FoNBqNRqPRaDT2jP6h1Wg0Go1Go9FoNBp7xk6hg6vVCteuXZtVVDcVYpxDS4/gIhvA\ndkhekswehRolCntOiJ5Tvikx3MP2UhjlSN47JbdXhdgIpznZHw0zcCnh/4+9b2uS7LqKzuqeHl0s\ny7ZkSZZsS7KNhIwNOIIIIIIXXvgNPPE7eYPgi8AvQAA2IBC6WJIlS7Z8kW2sGU131/dgsk52Vu49\nVXJN15jIjJionqpz2Wfvtfc5Z+Vaubztek4vjJdkjD3c6H7Eer3G+fl5lAX1sM2ZbP4odC1hl7Au\np6dTIqjT70k+nWPIceZ1angSQ1r4yePvUjhUk7099NDDDdXWKHrBEC0mgWsIAUNZvKDyLPR3n8Tp\nGc3vcrupWOXZ2dlRJN5Z/DWtk6PwjRRCOSt47Gu4C3+kIs/+fz2ur8U8PsNCgGU91EK7ivfee2/z\nN22UCdipALJLtPPcGi7NvmCoH+cH26XjS6EEhpXwnNr/bDvlwgldX9iXXG/5mxdhBpZ+5rm4vqqd\n83ivvPIKgO3QS7+OY9jsRx99hO985zubNqk98VoYkscQ0rQm+/1V+54hkVzbOM68Xh13Fynh2pKK\nbPv6mopF63Xq97pusH0M5+M4aVgp285Phj2l8EIPf+T6nQTGGKrN46q8O/t5VNpCj+mpECkMy4UY\n2McpvH4mhuFlPa4bq9UKZ2dn8fnHx91FI3Qbv88kyfbU5348rgv+DKhrqAu/eJoKsNgP7YUhxrRL\nLYPgYzcTLRkJKOnfSVoduPo84uUuvDC37k/7Yfs0dJz9xP1H59br4druwh7pGogUgrhvuGsZraIo\niqIoiqIoigNj72rCo8Ry9w6lt0OXHt+HEfHj6rE9cTFJEztrkdiBkQc4MWQ8bhLp4G/0tCZGixj9\nlrz6jiSv6W/zqS/ca5VERZxFS8zLseSv98Hp6Sk+97nPbbzJ6vV0ltSlV3WbmU3crdBdOp73p3q2\n2A6Xadb/u4S0zzeVZ6VHk94gJoRqovmo+LBet5cD8HOqdPKLL74IYBExYHuS15MeO7ZHJcFHBbOT\npLwz227fehwfV7VlZeiO4W1lkW0ieRdn4j6zMdRzKFycZVYkOXk4XSAliQQRXqjYWVlg8TjyXGRD\ndJzoqaXtcv9nn312sw3nO1kFtpm2lpKh6UXlfEtziR7axEC5l5l9oMchvIBtGiv3RKf+31du+NAg\nO5BEdNg39LST+VFGy+cj+077lftz3Lm/jz+wfX921hzYFhDiWCiD4MVQnbFLIkYEz63rP6+B23JM\n9Tp9jvM32o+Kx/C+5utreu7yKJVUYJjbOBOT2B4XwdBr8PtJesbwdl03WPolCV94XxG6ja+hKQJh\nxgwCV8fA+yqxVWSDeC9PwlQUdSHrThvjOkKBF/2b8yKVrxmVdUkS8FxX+X+u8SpQxL/5PJFEJ1wQ\nxsWRgO1nIP9ex4fr/zvvvHPlWrTETYp20+Ol33ZFGa2iKIqiKIqiKIoDY29GS5HyiNzjnCTg+Ra+\nD6M1y5dypibFMDuTkIrzugcpScKOzqXbeO5TkncfyeHPcrR83/SmPXvjTnlzo308NyYxWveDDPbd\ncHZ2hmeeeSbKuntO0Ii90m0Ij+MFtj1cu8TzJmbC5V2TjC7t2hmtlGdG7zs9SfQoqwSzyxenopbO\nZLHN/F4LxfJv95QmVtevRXE3G0u/O0s8kzWnDShb6AU5rxtktEYFFIE5u+RrZZrfvu64jaa1xcs5\nuGQxsM2oplwv9jXHh3apjChZBdojbUxZWF4nv+NxNSeGY8m2cx3QorR+zZ4boSy4e7qdbdDrHOUi\n6/+dAfLC43p97vmfFU+9bjz44IP4+te/jldffRXAVVaafc9Pyk4zbxMYR20oS8Vr4/rFPuc46bZc\nv7iN5xPp8Tx3OeX4eXF7fiZZ9tn6MZp3Ok9oo7wGZ960fZ7LNpvzsygcx2w9cCbLc76Bpb93edY7\nVq73xcUFPvzwwxgdMYoGSDl+tD+uX8r8cC3y57qZjXieYmLU1da1vQraEfP1uD7qOkv2i8wW25u0\nFUZS8Hps2ibv/zy+Pn+xD9hPPG6yHy93MdM58LVP+5b5v1x7ZvdW/+4Q5QfKaBVFURRFURRFURwY\nvxGjpXBPSlIm9Lj9mUqII6mh7FK80zHLQRixFuptGhX7VW+87zdTQ3Tlthmjxe+Sh8G32aVP3GuT\n1Ja834+haPWb4ObNm/jSl760FQ8MbBetG3lugG3PU1J5GzEgaVv/TKph6r130A6dpeQYqooVz/H4\n448DWPKmNNafXkX2BftAvWkjdpheLM1tILQdQO4jn1M6lzz3xHMuU3y/e/dnuaTOeACLx3a1Wh2F\n1SKjlXI83CPKMUgKsETyvruKlqsZzmw25Vv4ms4xTbkiXoiVn2o/bmu0VWVBeA7mHvAz5R56DgKR\nGDeem+3S46Ux0e/1HH59PreAZX6wfT6Pdf9dFDePVfz17OwMTz31FL73ve8ByLlv7F9mOjsoAAAg\nAElEQVRXQQO22XKOm/Yrt/Hio8xXSdtybeI26b5PpPu9M4xsnxdb1esjZs8n/nyU7NDtkVBGyc+R\nciP9HpHmJuEREr7eANvPACkSge2aqQ7OIkiuA7uoaHu7dV7yfvoXf/EXAICXXnoJwFVVv3/6p38C\nAPz7v//7lf3T85Szp7RnzSPyvP8EZ8u8oLcyoowmYD4XGR8ths42+hxVO2R7uD5zvaaNab+xf9g+\nv/+na+EaPFPcdjvXZ4/vf//7cdt0b3W7TNu0YHFRFEVRFEVRFMWR0RetoiiKoiiKoiiKA+NgoYOO\nJCE6kn7fJxxN6UoXnUhiDyOBC8WIDkxhXR4GmIp3uhxyojs9hHEmZjAq1pqkRn3/XShO9mmScPVr\n+G0LHbxx4waeeOKJDT2t7SedTZp81vfELLRzFCqSjuchtklO1UMalfIfnZtjqYIAHp7EkAct/kfZ\nWLfLJIbBbTwpWsHkWA8B0vWAf3uYolL+bIeH06R5dzcpXW074WFdfsxjYbVabYWHAtvhvulaPbxy\nJgU/SnpPIX++hmo/zYprj7bx8M1ZiJ6HfACL/XJ/iiSk8CTvk9m9wsOl0rWkIpsOly12KXf924VG\ndP666EyC9vsxwgfPz8/xwQcfxJA/TzxnyB9Dt4ElnJnXwST4VNCV6wTPRel/tVmGWDG0L4m+cDxm\nhde5jYcYe5hXOs4sNM63mYlzuZBQup/48TTcjLbqohXat7QxD6lKcv1ekDuFh3l/pXX22CUJgF9f\np5cJAraff1J5IYbb8ZO/abHoP/7jPwawzGeuUWnd9hBbL6cCbJcuIZJd+2eSgud+XEsZXkgRC93f\n7yd6HM5J7s/2eRFvYLscQwoZ9Pmawt9HJZH4/dtvv735je3w61aMnp1TUeN9y76U0SqKoiiKoiiK\nojgw7hmjlQqBuhdxl+ReR5Idds+/eodG3u0kE+liCMkjronyum/yrM/gzFgSzCCcAUzFHEeejpno\nh7+Vz4o4J4nx3wbcuHEDn//852MSOz1w9LYkZs+9TETqV/cGJtsYSfWndjmTldggnsNtVs/D5FN+\n0pOsBUPpkeK5kjCFe2yJ5Pn3fqNnOSWauxdWmTsvkjgrvcB2uZBLSnKmV42eRhXDSCzjMTDz+DnS\n3OX+7Fcdt5HYTUoSHnkO0zrnDJR6wkeiDqk4qEukc18XV0nn0v5K9yFgsfckYsR+cmYZGCejz8Rx\nZoyWF6fldaYyJn6uNN/W6/VRGNnz83P85Cc/2diceuHpTeZ18xqZeA8sjLqvZ8rMcI5y3fISAMqQ\neXmKJOHtjLELSuj+Pk5si9rsqOxBEsFyj30qQeHMU2qfzxNn/fRv9iU/Z1EZXpRYy1/42CRhIp/T\nKRLmk7IDh4ZHTQDbawGh27BsirM2ej08zgsvvAAAG7EYyqnrGHDs/Dk2RS55nyVpemcjZyUg+FsS\nzPA5nUTD+LdHsvD+quU0/Dk2RaeMIg9SaQx/FuB4sDixtmsmdLGLHaZ1ZBeU0SqKoiiKoiiKojgw\n7hmjRaiXw5mZ5Em421ulvvWOvLLpLXX2Juq/zeShCfdozeSVU+6Pe7bcMzXzrqQ8iuTh93MSqcip\nY1aY8bcJZ2dnePLJJ6cFtOkJpZcpMYXELN7evdzJftzWkr2PmJRZu9xGtS0cb3qXWLxPt/EyBfRo\nqWdr5mnzNnE/xqunOeDz36WY9bpG8yRJFLv3NM1N98Al5v3mzZtHsfv1eo3Ly8tNu5Ud8LzWXYoa\nJ9sfebBnbPyoQLzu5/07W295TrJUGsfv+U2JUfe1aWZjPkfpjVfPvzO2iSHzHIRZHq7/lvJUvMyH\nMgdEYj0c++Tk3gusViucnZ1t+ioxIP5/HW/m53FcuI0ymF5YmNLU7B89J/O2nOFJzxocFx43rSne\nv0mu3G095fX43HEpb92e3/EaPCcd2L4PpKLGnuvjrD6wPe+dydJtnWVIbLM/HyW2j22clTG5l6DN\npn71ex3br9twHr/55psAch4p+5zsK22W0SW6FnhB6fQc4Pl6M/l9L20xy0H3tU7XPM93TEWoOfae\nF+YFh4HtUgueA6bb+zN9ijZif/E4lHJXFm0UhaHnHK2h6Zz7ooxWURRFURRFURTFgXHPGS2F58Ak\nz+g+nrkRkzWLu0zx7e61GMXYp3YlpmwUC5tiUN2jNcqDUSTWK3llHKPrm3kLZjHWvw24ceMGHnvs\nsamK3uuvvw4AeP/997f297FMLGw6J7BbzG9S8BmpTCY2zr3czizo3+4lVo+Ut52fmsfl6lXObKW4\nbr+mWfFOjo2yDO7Bm8WZ+/FSzqYXoqQ3VY+nnuTEMFwHdL5pngr7lV7KxE67p9DVwXQ/Z4VSPthI\nIS0xZK7UpO3yfBnPC1OvLD2+7H9X59NrcK95ghd/nTG2ziTMitG7Kplfs24zU251T/BvmvN73bi4\nuMDPf/7zzXilXF6/nyoDQrbdlUh1G84Dz/XyPCpgyf/i+FJFTW3MmSxC1zzPk/K1JRVm9kKzeny/\n37tam/7mrFda8/15Jq15Pl9n6qPO8qXx9GcMjofmHibFZr0WYOmXY+XCnpyc4JFHHtmsKSnywRV2\ndRv2jRfT1f5h7qHfI521BLZtI+WJ+X3P2Sv9zj/TOI3WzsTCOrOa8m/ZPmfRVImRYJtnSuDE7L2A\n/U4W+9133wUwj8KaqQ7OGK3Z/jOU0SqKoiiKoiiKojgw+qJVFEVRFEVRFEVxYFxr6CDhSYNKHXqy\n9yxEaFQYOO0zKyo7KhqcKHYPf9hH7lGvc5SU5+ErwEIpu8ymhmc57eySsMA4KXIWOughLb9tYHiA\nhwMBC43vxXoTle1iDH4OYLdwV0/K3MVu0rYjqX4PxwK2Q6FSEUpPXk4hqCPRj/S97z8rOOhzKIWX\n+LmSjL3bsYvvKNgHKWxklox8HXCJ7tQfDLVK89JtINk1j+mFRWfFsd3Otc88ZGk2l3z/lMDPcBwP\nGWRyNbC9Bqd7hodZuyBFCtH0UBkVZ3FZ+BRePire7KVB9FwMQ2J7kjiCX/escO11Y71e49atWzGU\nkvBxT6Gi3r8aukuboJ0wrNBFMoDFTih05KUOgHE5iCTv7jbq9qnXzG0/+9nPAsj2w1DB2TrrY5nC\n+F1kYheRoHSfcmEaXl8SC+L1zaTuk1iII8l6XydWqxVWq1Xss1GBc12L2TezuZvmKrDYkfbZqHRJ\nKlfkIZn6XOPj4p+6hnJcXWwotcv/PxOJoH0zZFDvFd4n6R7htp5K7xCc42+99RaAnA4wWkNnZUzS\nPPyk62sZraIoiqIoiqIoigPjKIwWMUr6T9/tkpA28h7o8VLSsB9n5gkfnWuXt97kKfOE11Rw0OVZ\nU5L2iNFKRQQJ945owqsnTh5LNvg3xXq9xvn5+UZWVT2avCYfi5nkKpGKheo59XOXvlObcan1XZJi\nZ55k95Al2fCRzc4ED3ybmWcqJb66AAyh84Rt9KTdNNfdi5qYKV4npaXp3Utsz/n5+dG8rev1OnqD\n3TPvidjAuMxAYu0Ijg+9s7qtJ62PinkqkjeWcGaH25AB0PPTM+oCA8CyNs3KcYzmnhd4BRb5Yq69\nSajAGdbENjvL7B5/vU7aGu3Q12/FSMwobXPdWK/XuHPnzqZtykTx+l0cQtvqoifsB70nsY84LmSK\nuI2OE3/j/KDUM+8DwLhwtradx/Siv/x/EoDg2HEbnWt+P+HnrASIC94k4aTRvsC23SShEp//7Gte\nX3q+4bZkwbQv+LcLROj8YT8dS2jr8vLySpsTQ++sm/a9F7vnNipM4ZEcvualcXJBq13Kumgf+voz\ni0ryNcrnoR5v1Aa9HjJ1oxIwwDgyRo+7S+kmtpXiF5zjs2egWRSXj7Hvk/bfFWW0iqIoiqIoiqIo\nDoyjMlqpwBvhb5XJY79PnsssX8G3cSRvzi7sGZHe7r0wnHuqldFyBisVlfNzzAriss2jwnZALlT4\n24hbt27h5Zdf3ngg6LUGFglgekJSDLuP7y6xvTMpc7drl53Wv93rpWPh8rCznEHP+0uyus48zGTn\n3aOe5t/Iq6YMgnsNk8fNbXWX4uSz4rvsQ445vbFJhny9Xh8t52W1WsW5y7EjK5LmqXtWUzkI947z\nuPRkz7zMs/F2+1ZvvrfDpfbVNtgeMhP0lGp+AcduJGMMLH2RCsPqeYAlV5Pf8f+PPvroZhseZ1Sq\nBFj63fPfuPb87u/+7mZb5ibRK+u5X8D2PWeWj3Use728vMTt27ejt9r7k/2gBYs5vrNIFo43+8zZ\nJl3beS7uT/Yh2ZgX11ZJ+dHamSJPnJFIrK6v6am/nEUZlWNR7JLL7munznEyfxwTzwHVecLvuI3n\nc+k5fF3Q+xyvXefrdYKMVppPPi5pPfPnp3T/8nINXuw3rcnELs8a7M8UkcG10+/Fs/ISs1woRyo+\n7XMyzU1nh2f51h4NoLbCwsR8jvPjpOd5nwspX9a3TWvqvvnbZbSKoiiKoiiKoigOjKMyWkTKifE3\nxqRQM8q7SsWD/bfkzR+9pc4Kxc48Uu7RUg8A3+ad0UoKSl4oLhUnHikUqWfCc7E8D0s9efRS/baq\nDRK/+MUv8Hd/93d4+eWXAVz1rNDD8/bbbwPInjVnVJP3ZRfWixgVdJ2xaByD2TZuEylnx9XU0hwY\nFULW7T2HLKlgen7ULI9rl2LG7tGa5eP49eq18Dt6+7wYqOLmzZtHYQiY7+KedmA7t4hsy4cffrjZ\nhvPbY8zVJkbKT+w7Zch8fUzqkL7GpfEeFXJNqmX8jR5SMhQ6Rz03xJWz9Jh+PM+N1fZ5sW5VQ3R1\nz5mKrbMBL7zwAgDgpZde2mz7T//0T1f2SZESowgJ7a9DKGP9Jjg5ObmSI5UYLc9v45gC20VQPacF\nWMab27pSoTKPnB88B5XJdJ7wHCOWSc/lzMEsB9H7f5b7s0tkzawgd3qeAa7OdWcyPC8HWO73ZKk4\np1JUAFkvjkdi1TkH2T8co1QgfJYLfy/BdTY9n/k4sZ+Tuh/tKEVHED5O7DNdf3jskaKwttHXWZ1b\n/I1j6nlhOqZuE2ltGbGSOpac+3y+4v2V465znd+xHSnHz/uUNvfee+9ttnn//fevbDuDz53EaPk7\nxqxQfBmtoiiKoiiKoiiKI+O+YLT0bdO9TDO2Ku3v/3ev8Iz1Gp1TPS7+26wGg+dSJUbLPWZJXcs9\nrclbPKqnpG/79Dh5rQz+XxmtY8VNHxp37tzBu+++izfeeAPA1X7l37xWepmSStQsXpfYhdlyJibl\n4SRlTCB7WJwFmqkZzWpv7FK3bsRguQqYfuc5aDM1tdQX3ge7xJu7506v6fHHHwcA/M7v/A4A4NVX\nXwVwNfeH8+Ts7OxoOS/n5+cxt8rzrtjnyavnOVBJ2cz7j32n29I7zfFOTNtIKTOB29ILOmNRnc1V\ntsrr16Q1j9+5/c3y1ryd+r3nXPj3wDbryloyL7744pX/A9u5Salv03e6z/2ARx55BH/2Z3+26Zc0\nTq6sqOvPT37ykyv7OfsFbOfE8HjcN9XIooed9sh7np6LtpFY8pEyYcpzdfYj5Um719wZvLS/K8vN\nmP+0Lvp+SV3RGS32McdI2SqyC37fTEyys426LhxLbVBxfn4e2W1fJzyqCFj6zFloHUtVsNXfXJVR\nt/HnzpnKX1pv2Va/95JV0nsd12CPYEr26MfT+cbxZe4w1zXPTQO2lTZ5fLUf2iEZaLJXZKZ1f4/K\n2KWmYHom8giQ9BxW1cGiKIqiKIqiKIr7BH3RKoqiKIqiKIqiODDui9DBBFJ6o3A+YDvkKBXe9W1m\nxYg9nGRGKY8+ge2ExRQ6OPrNv9fvRiFlChcNSEUEGSJICjnJs94PtP4hwIRX2sGsP/ipRS2JWdE+\np7BHiZe6rSeYqv3sQkt7mBT3T4nnHtLC31KRVb8WtVkPhfXkWBUaYeiAzw+X107XpOEULpHtYWIz\nUZIkVMPQBobcPf/88wAWQRTg/gmbTaF0HhrKMBEtgkt4MnQST3C58hQiy/04P9ifaZxmRXXdFtye\ndJw8DMdD6/Qc3oYk7+4lBFII4CiENYWiext07WQ/uThLCofjd7PE611wrBBX4rHHHsNf/uVfbq79\n9ddf3/zGv1lSgeNNMQv9jnZMu07FdTm+DC9ywQVg+17JdYf7AMv8YPhUWnf9OcGfNVJZjlF6gWJU\n/gLYnoMezpvEuTy0Ns0THtdDOYElHFBDK/X4at8M5+I4cF+1QRfr8fsBsPShn/O64EXhVdzB5zDD\n7nS82X9uE2ndpm16aGYS0fGi3elZg/2YQhq5v8uocwzVpn3eJXEfv4+ynzT018sTedmZJMTE73hc\nneuUbP/BD35w5f/pOL72JYGxXeDjx3Np347SMO6GMlpFURRFURRFURQHxn3LaBHuuZ55h9Lbcyru\n68cZsVOJQRp56JMYhnsb0jYjifrkRfU3+CQi4kxWKkLMT2e27hdP/iHBQpouHwwsHhT2A71M6nmm\nt5N9w/3Vy5FEHHTbJIbhRXXVNkaemFSc1z39noQMbLOmzhL430BmfkfSsryGVGTbk7TTOb3grCZe\ns9+d0UrsoXuy+JvKTpPJ4rmffvrprbarBPQxcOPGDXzhC1/YePF0XtI23XOt3kV6kb1wsWIUMTBL\nuHd2IUUF0DudmBrajduqJzFr231upeONri1hVAxW93Np6hSJ4BESOka+rvC477zzDoCrc8CZ43R/\nc7YreXJHbPp14ebNm3j++ec3hZeVYf3qV78KYLFD7x9ge+56cWJgYU48aoPbJHtgf+j8IFy0JLGc\nvr76p84J2rzPi8QkO9uVogv4na/XaVtu44y/7sffyKqQYQQWQRGXdedxtbg05zivPd03Gd3AtYj9\nPyvsfd3wMhppnjuDlMQTXMxBnzXJhH3hC1+4so2zOfobz82x0PF24ZZZOQiOh69rqXSQM1npOtku\nZ8q8jbpPWotHUWYffPDBZhuulfwuMduOWZ+M2K+0/s/W0BRZsQvKaBVFURRFURRFURwY9z2j5W+/\n6W1z5NW5234j7BPvnuS03Ss5k/IexXEnRmt0XGDxDtHbxE+Nw+bf/kmG67e9OPEIFxcXUXbY7YUe\nG5Vfphz4D3/4QwCLl2kmrZzi7gn33HKbmW2k+PaRB3sWH+75OMlmR3mK+t2I1VWv8cjzozbr+Vcz\nFtY9gWnejFg5zR3zfAyOdcqfWa/XR2EIHnzwQbzwwgubNmmRRo/fT15P7uf9m65ltD6q7XoMvecF\nAouN8beZTLcXTE3e7tEanFg0jmXKNU15errPjBVK3lhfy734O7AwBmQBuM93v/tdAFdZGsoV+1qR\n8nD8/4kBPBajdXp6ik996lN48sknAVwtHux9xX7VcSJ7+9///d8Alj5MBa+JGSPiNsZ5n5gtzx1L\nOd7u6U+MBK/H186U4+H5somNG+UF6xjz+vg5i4ihjZK9Uuae/e2Fa3lctVkvMcHr1XWW66pHNig+\nqVT2obBer/Hxxx9v+kVtI8n3A1dt1nMvmdutZU7YD75uJebI2bNUxoc26mv7rH+5v0uu6zl9XUtM\njzO2s6gwtx99DvXIFdrjyy+/vNmGzDi3mZWF+SRrXuovvyck2flZKZIZymgVRVEURVEURVEcGPc9\no+XYxfuhXoKRx3/GjPGtnm/wyXPontJZUTMvoKp/+zmTCp17EJI3hF4ZenXpgVKvFT2s9C54btL/\nRazXa5yfn0dW0dkkerTUM8e/2Vep0ODIW07MGNJd2C9X9+N16afHi6d54qpYyWM/Kpapf8/yJUdI\nLIGzAZ5DqL95/6Q55R5AXq/maHE/z2VLnu5jsQM3btzAk08+GdVKqY7IuczrSfbD9cu9oMC2Z85V\nCFM+oOf4qZeb27M/E5PEcXF2MsXf+/imvEJnhRMj6qzCzCPp8zjNTe7P9YDra1Jw83X1zTffBLCw\n48A2u7OLsuwMx2IHTk5O8OlPf3pjPylP2tdO9geATUF59h3HR3O9RsxlYkacWSXLkNQ5XVVT85Gc\nheP9gMfXdcNtLCkSu405qwssNuvXle773N+ZKO1/Xg/tjvM2zTu2nX3s9z1tF9cXMiUaCcL+9pzI\npIa4b77LoXB5eYlbt25t5eoBV1kpILfRv0v3Q8955WdiMD1yID2rOtvFOaCKif5M6voEqUiy/1/X\nPJ7DoynUlmm/XkCZ9qnPoR4Z8corrwBYWCw91ydlkHbFjAlMeV1ltIqiKIqiKIqiKO4T9EWrKIqi\nKIqiKIriwPiNQgdTMtyx6WCHJ4ImCtvlhkefuq2HrSgV7GEvKSnWt3E6dpZoOJPBZggLk1u1QKOH\nDnrYwf9FUMJ1JjPqUutKwzPsjCEnDKnQfvVCkn6uJGLhdL6GcbhsLmn5FMLET25Lu9LjpfAUba+2\ny8O59DierMvwCvZRkhR2iXG1WV4PQxOSmIEnnaeQQd+WIS0cMw0F9WK7qUD4J5VwPRRWqxVOT09j\nIjXb+9ZbbwFYRARSSKYnQWu/jsJTfGyBq6FU2h49nodtprA7hhV6qQW3ZT0OkQSBXPo/CXtw+1Hh\nez2er9MeNqbHpq2y/5nQDSzhVh6qm9aOkfhMKlvgYzUSwzhGyOtqtcKNGzdi6JqHSSUxFYpo0O7Y\n9xqSyb5i6JuHF2l426hkhI4l54U/I+ga5eHNlOvmmqJlITxUN4kGjIoRJ1GfkSS1zqnRHNJrYMgg\nw449BEzb7uGZKWSX18f+owiEhmWOyhWkQujHEuE6OTnBAw88sGmThq4999xzAJZrVTskvM+9lAkw\nFrty+Xi2R7dNz2devJrQezvbzO9cwEXLKvha4uOu7fBzqf3wGcDb5yG8+jfb8eqrrwK4ui4Sni6T\nwvhG9wrFLiF/I7G5VN5pX5TRKoqiKIqiKIqiODB+I0YrFXhzScQklXoM8O00iRm418sLK+rbvXu4\n+AavHvG7yWDr39x/xILpd84WqqeBf9PL7OyV/s2271IE7rcd6/Uat2/fjt5BZzI5hkkMg33PflXv\nqXtt3NuUPCxJ4MK3dxvTtrskdvLYEkkSG5izQm5PeuyRsICex71DidEaFdDW+eZFkmfFQJ2RpIdV\nvc7uHU5zMxXQvW6cnJxs2qZJ5mwnPf+vv/46gIXhAhav5Cx52W3fv9f+oK25h0/35dhxG3rIVd7d\n2cmZ4IMnkTvjptt4eYo0T0blCxKL5nNSt3G5a8qz7yIp7+dJ3+0iO5/s8pj3VkVKwPf1gdf6la98\nZbPNs88+C2AZQwplvPbaa5ttOA+eeeYZANvrhvaL3+N8W2DbC097UgaX48zCqbwfcF9lfvkdP53B\nnUFtxUVwvHCxrqHOHPM3vQa2ndeepMv5bODPbV5iRK+P4/HEE09c+R7YHvNks2yzjsl1glEDLCas\njArHndedIrVGRdVnDMiI+de/fc3TtYVgu5IEPPucax8/UykK/RvYFhYCtuX8U0kCZ/w8WiitZ7x3\nkUlMkQgj1kp/823SOjmKCkhtHh1vtN8uKKNVFEVRFEVRFEVxYHwiRotvfMnrOXsDvR9kxGeFa11K\n2D+BbW9TYrTca5pYqpGnfiZb7d6rFAtM74cXJQa2pbLvFy/odSB5igkfH92G48rYfC+gCywFL5P3\n5m7tIZJstecp6DndDvlJNkO3ZbvocUzx897mWX+5VG1iq9wblDzKLhvrnjNtq8sEJ4aS3ubPf/7z\nAJaiqTqXvN8T25Nyhq4TzNEidJ7Sg+5eS11byALQLp1lAraLlY+K4gKLrc36xcd35jF0j2PyDHsx\n8cTAeR5Osgm39XTv8uv0XC3tW16fS2Sn4/kc4DYpl9GZ2pkXdVbC4ZhYr9db+arA9lrC/7uENrCw\nCt/+9rcBLDlwADbMAxkUrnUs6D1jtJI3n/PDC66rjXkunt/vdU55OQkyWsqou42l/uL+XmrB2Tlt\n66xEhpdeIFKON4/H9rhsN7Css4wYYHsTgzsqmaDnT4zNdeDk5AQPP/zwpv1/+Id/uPntX//1XwEA\nP/jBDwBkloTXMmO0CO/XVJbDn8tSJAxl0mmXztgD++UR+bPkLP/f8woVHgXgWgN6LZxLvE+le5Cv\neZ+EXZrdv2c5W36fm93LdkUZraIoiqIoiqIoigPjN2K0UlyxexXTm9/9wGwpPJ50ViDQVcqS19Pj\n/1MeiDNYMzU1b6d7grWNXrhY+9o9v/ebR/Re4eTkZBq3O/O6EfS+UmFJmRn+PcrRSuyub5O8RO7J\nVJbKbcoVzlIcNq+Bns3kjaWHjDHgarOuguTtS7bmrBftEtj2pvGatF1eAJfnSgqRZLCYO8BrSfNk\nF9s/OTk5KqtFpNh19hG9/NoPHOeXX34ZwOJBVK+jFzH2WH0dA/7t3lO12VEuQxpvz/FK9uM2n1j8\nUS5dUnDz/88YLX7SY6/X6cXe03lGNpPWoBmT5ZjZ4v2wlq9Wq3hvck/47NmATOF//ud/Arh6733+\n+ecBLGuwr0eJuZ4pCPu6n5j+UVHsxET5fT9Fu3gEApFU/fzZwpXh9LvZ/YTRGM6ophxvtt3vEcqG\n+W9pHo5UPnUbnjMp+l0H1us1Pv74482Y6jhxPfOoklRw2VWL9Ro9j5Tn8qgnPbaPZSrEPVt/XNHQ\n50eam6MIAv3NlV/TeKd5odcNLCyhqwyqze7CKnl/O3OervOTRAOkdXff54IyWkVRFEVRFEVRFAdG\nX7SKoiiKoiiKoigOjL1DB09OTiLF7jKTThnrd0mQ4n6ChzslMQwv7JqkrUfFKPVvDzeYhZnNiv+5\nJHiSsb/fiklfF0bhON6vM+lPl7lVCXiGrHlCcaLhR6ITicp26fZUksDDr1LoIMMMGPLBtmsyuodG\npjADD09lOAW/13AGb09KHB6F1mrYGr9zwQwPcQSWceD1peKpPgeSyML9JhKTijT6/7VY6Isvvghg\n6TuGEH7ve9/bbOPhSRQGYD9rv9JumDTO8UmhHrNClV6YdBYa62tvKmo6EudIoSnAzgkAACAASURB\nVF+OJO/ObXmdLKJLcRXgqjiDHmcXJCEOD3NJ68GocG2Smj5mCOF6vY5J6/o7kEOPON7/9m//BmAp\nYqprlIexeWFpPSfthedIoV+Ei2BpP4/KSbi4gW7L77wwq/7m6+vsOG7nOhe4v4tzqNQ6v+O2qYyG\n26YLezD8EFjWWR43hVHtImaQwsmvE5eXl7h9+/YmXFXh9x2G/qUwPg8h1P7w+6A/c6h9+dz3lJb0\nXQqp9r4fFadP50zPmj5n0hxyAQ/uz/mrBd1ZeiBJ04+QwgFnz2u6T9pmFl44u/+n+boLymgVRVEU\nRVEURVEcGHsxWqvVCjdv3oxslXun0zYE33r5dpi8lfcTkueN37mEOzBmtHSbEZM1K8zmb9PJc+vF\nlpMH5n7v73uBXQrVJZlyF1+gB0o9hhRf8GKRKQF7nyTKmZy2H9s9r2ob9GAy+ZSfZIWAxfPEbXl9\nehyXDp5JwnpiahJ78WRxlxHX9tCzyP29aCaweFq9L2aMUBqj+5nRGkHHiWzUV7/6VQBLn6UEZ5f8\np+dfvcyjJG1NHmcb3dupY+GMr5er0OOPRCuSN9bZgXQcn0tsl7KntCUKjJDdpZy47j/6v7dR/78L\nyzMrp+D3huSNPSajdXp6Gtvh3m4vRQIsCfJ/8zd/AwB44403AABf/vKXN9twLeB40DaefvrpK8cH\ntpl+L2qt24wk13X7kUBBYstn9jha02drlB9X5xTXcNox13FlpH19dtYB2Ja4J2tIJksZc0YM8Byz\neTe6Jm2XC/FcF9brNe7cuRMFJlhMl6UDEns3EiBJIkEugpLGwFm/JKfuwhtpbeY4+70tseWjwvXa\nLmdvec/g/RbYLoPA/uL3KnzhzJ8X5k7YR6p9tiaPmK3ZtokZqxhGURRFURRFURTFkbHax3u7Wq1+\nBODNe9ec4v84nluv10/cfbPDoTZb/IaozRa/bajNFr+NuFa7rc0WB8BONrvXi1ZRFEVRFEVRFEVx\ndzR0sCiKoiiKoiiK4sDoi1ZRFEVRFEVRFMWB0RetoiiKoiiKoiiKA6MvWkVRFEVRFEVRFAdGX7SK\noiiKoiiKoigOjL5oFUVRFEVRFEVRHBh90SqKoiiKoiiKojgw+qJVFEVRFEVRFEVxYPRFqyiKoiiK\noiiK4sDoi1ZRFEVRFEVRFMWB0RetoiiKoiiKoiiKA6MvWkVRFEVRFEVRFAdGX7SKoiiKoiiKoigO\njL5oFUVRFEVRFEVRHBh90SqKoiiKoiiKojgw+qJVFEVRFEVRFEVxYPRFqyiKoiiKoiiK4sDoi1ZR\nFEVRFEVRFMWB0RetoiiKoiiKoiiKA6MvWkVRFEVRFEVRFAdGX7SKoiiKoiiKoigOjL5oFUVRFEVR\nFEVRHBh90SqKoiiKoiiKojgw+qJVFEVRFEVRFEVxYPRFqyiKoiiKoiiK4sDoi1ZRFEVRFEVRFMWB\n0RetoiiKoiiKoiiKA6MvWkVRFEVRFEVRFAdGX7SKoiiKoiiKoigOjL5oFUVRFEVRFEVRHBh90SqK\noiiKoiiKojgw+qJVFEVRFEVRFEVxYPRFqyiKoiiKoiiK4sDoi1ZRFEVRFEVRFMWB0RetoiiKoiiK\noiiKA6MvWkVRFEVRFEVRFAdGX7SKoiiKoiiKoigOjL5oFUVRFEVRFEVRHBh90SqKoiiKoiiKojgw\n+qJVFEVRFEVRFEVxYPRFqyiKoiiKoiiK4sDoi1ZRFEVRFEVRFMWBcWOfjR966KH1o48+itVqtfUb\nv+PnjRu/PvTZ2dlmG/59eno6PIcfO51rn31OTk5i+2b7r9fr4bn4G/dJ2/I7/03/PzvH3Y6Xjs/2\nXF5eAgDOz88BAP/zP/+z2YZ/37p1CwBwcXERr2l2Dftuw/4/OTnBxcUFLi4u7j6gB8RqtVqvVqut\n/lGwjYP9ASw2m8Z9dP1ue/q3zw/+f/abzpu72XU65+j/M8y2ndn3aNvUb7PjcLz4eefOHQDARx99\ndOUT2LbrdA0+jn4eYOnbBx54AB999BE+/vjja7XZk5OT9cnJybTPiDT+bn/+CSz94J/cJtna7Hgj\ne0zb7LPtPra7i/3NtqUN8De3PWCxLX5+/PHHAIDbt29vtqEd8rfZOut9MOsLb7u2S9v6v/+u1WbP\nzs7WDz744KZtaj9uY1zX9NnA52Wy65Ht73IvHa01dzvOrD0j7LLtPs8js993eXYZbUP71L997Uz3\nS46V22Fap3jctDb7mJyfn3+wXq+f2DrhPcLp6en6xo0bsb/T3AeuXqOvZ+yXmzdvbrZ54IEHrnzy\nt13W2bQWjNbDT2JHej0zO/K+SH3Dv/exfb9ePSefX3l//+UvfwkA+NWvfrXZRu03tX3WvnR/GY1n\n6n9+fvjhhzvZ7F4vWp/5zGfwV3/1V5uHHb2Qhx56CADw5JNPAgCee+45AMAXvvCFzTaf/vSnr1zA\ntGH/+3CpD6C+rz8E+0IOLAbui/usDRwoLgppwLgNB0G3oQHQWHxf3cavi+fUff1Gzd84Dvobz0HD\nfO+99zbb/Mu//AsA4B/+4R8AAK+88sqV42uf8MGBn2nM+TevhW3Qhebhhx8GADz66KN49913cQyM\nXqR4vWxj2u7RRx8FsNhR6ns/Hq+fx1V75Dx5+umnAQBf/OIXr/wfAB577DEAwOc+97krbeC+APDg\ngw9e+eQ50gLOOcTf/P+K0QNugt8o002UYH+pXfNvXwR5UwaWhZbf/fSnPwUAvPHGGwCA73znO5tt\n//mf/xkA8IMf/ODK8fVaHnnkkSvnZF/oeLIvv/KVr+Af//Efxx1wj7BarfDQQw/FPmO7fR1TG/vU\npz4FYFlvP/vZzwJY7AlYbIq/8f/sH9oVsNg+j+u2p3/7g0Xaxh+qOQbpnG6ryWZ9TZ49bHJbX1OB\n7YfC9DLPGz2dVh9++CGAq+vsq6++CgB4+eWXAQBvvfUWAOAXv/jF1jWwL9yZwrUDWMaE10B70HnC\n9f7WrVv42c9+tnX99xo3b97ESy+9tBnDz3/+85vfaFtc45566ikAyzqn29COZ2Pp91x+6pqXHrb8\neKO+nz20zrb1Oen3dD3/yMHhf+s+PLfeX3XeA9v3Yj2ef9J2gcVGace0c/5fbY1j9ZnPfOZKH/zk\nJz/ZbPP973//Sntee+01AMA777yz2YZ2zLa+9957b+IacXZ2hueff37LaQIs18vnn3Rf5DhwDX3+\n+ecBAF//+tc32/DvL3/5ywCWNVifiwjOHR7X7+n698zp5Zg5FTkGvr9uw/sQP9k3+tLDtW0035I9\n8nmG9ymu+cBi67TR7373uwCAv/3bv91s8/d///cAFlvzvlCb5XWyT/3FF1jGhJ+83+k2jr/+67/e\nyWYbOlgURVEURVEURXFg7MVoXVxc4Oc///nmrZUeDWBhrshkkdmiNw6Yv3WP4MzRLCxwRsfuEgIw\nCkFIlLi/uc9Yr13CXWbX6UjbuIeWb+XKKH7rW98CsPQP39h/+MMfAsieW/fs6DYjb4+2S0O+9gmX\nPDSS15MeJHpP2IfKonJ7D8lUBsRZBXpLkj3Si0PPFr27/ASWOcNtU3ihH5u/uedVt3UP2S7zMYXU\nEW6j+rvbPvs2efP9OCnsiH3q3nF60oDFjsk2/PznP79ybmCbbfYwGP/ufrBZhdta8nJz7tPTyrX4\n8ccf32zDtZv9ybUgsbA8tnsBEwNFm3WGS4/poVqzcNxdWCq3Me23EJ505f+zSITU/7wGZ8G1v3ye\n8P/OFqQ2s10aiuj3N+6ja1Bq63Xi5OQEDz74IJ544tdRNGprtAm3rXSf8PHZJ6xLsU9Ys8+hWajQ\niGlV+D66nvk6mFIsnAnjdSYvvEf8OCOo+/vxlVHkfpy3jApgFApZA2C5P331q18FsDA5ys588MEH\nABZb93sZsF8I+71EisggfJx0PaON85n3G9/4BgDg937v9zbb8Ddu6yyJHs+ZLH/20PaksEJi9Py5\nS7pLgvcB25n28dDqFFXiazHv13o89hOfk/7oj/7oyv+BJRqILBdZU66LOk/8mcf7GhiHeab5u+96\nW0arKIqiKIqiKIriwOiLVlEURVEURVEUxYGxV+jger3GnTt3NvSyhqWRPuZ33CaFCjnd6aIRo3M7\ndlFgmSXsE/uENHrYwkzhZJ/whVnS7ggaNjAKsVEBhWeeeQbAdugPEw3ffvvtrfaQRtXEQoIU7Whc\ngSUE5n8VB+96TYfGarXC6enppq9ISQNLqAPtjwnls3CQFDLiYRcuUKEhVqS+GUrApHGlxD3MwgVd\ntB0eOug0f9omCcG43aRQP59fM/rc+zCd00MZUninh/axL9hfzz777GZbhqtQMINhKxpi5aFJtOs0\nnrusS/cKq9VqKlbCOexhWcASEsSQQYalMpRQt/eQQX4m+5kl8Lt4EftQwzc4D9x+ks16iIyfW38b\n2RGwHVI9UxQcqdrtIt60i0ojr58hrsCy5tBGU1hgUvIbbXOscKyzszM8/fTTm3VNUwY8jDSJeaQQ\nTOCqTbjd+Hile7DblvaPh4Ml2/dzuZ0nAQ5Huk/7b+k6/TMJeY2uT23D50AKked66gpwDCF8//33\nN9syxJbf8T6q9zCGJqtAhh5fcczw7IuLi5gO4GJltGEN8afQxR/8wR8AAF544QUAV5+LuRa74MMu\nKSJJsMfXgl3CZ3mc2fPxLs+zfi4dS78u9ml6jnBFyiRGwjb6syrDMwFswpTZx3/3d38HAPiv//ov\nAMvaCmzPszR/U4qGtk/bvu+zQRmtoiiKoiiKoiiKA2MvRuv09BSPPvroxguv3mR+5wmls+T3kadO\nsYunzr0w+gY62i/JTY5kMGcel1kCtv8/MTr71MGY9YELOiTJdnqv+ebuCYv6lk5Plnt2tH1sj2+T\nasrcuXPnKAnbq9UKDzzwwMYjoowW+4ztT3bA39zboV4PFwLwRFd6s4DFC0O2gV5AbdeoftbMa06k\nbf27XTxbuyTOzmocjeoC6RzweT+rW8Rzchz5f5WRJqtOxoAMl9qjn9s9b0CW7r9OkIVNScfsT9qa\ny7QD22wpPX7JxngOfiZP38h+ZonYiZlxtsvX7cQ8uvjHTMJ7ZrMjZivdn5xZTWu7i9Go7XNMfH6k\n9eBHP/oRgEW4hWJDarOjPlD2h9ufnp4ehdVarVa4efPmlngNsNidl1LQGo+E26Ei1duZtUf3Sevl\nKCogMVBuEymyYSQ7P6uD5OfR7UclO/ap5TXbXu/3PD/XlS996UsAFrvUkgGMGOCcosiLzhOuObTv\n733vewCu2vWx11ng19ftZR2A5Vo4Vym+pNLt3/zmNwEsTBYjhnQtZn+OajTNWPz0bOlrXJoLo+fp\nxFZ5hAexyzYzzISz/Nkg2YGXE0oCOhybP/3TPwWw9Pv/+3//D8BS7gXYFm6btctrds4EeXZFGa2i\nKIqiKIqiKIoDYy9G68aNG3j88cdjMWL34u0T375PsbXZ22XKHXGp3sT0jDxFuxQsTl6CkTRx2mbk\noZjJ2M8YLm+zntM90xy/dDx6Wpi3lXJZGNPunvckVfvxxx8fhdE6PT3FZz7zmSteJoJeOpWsB7Ls\nsMc5p5h699iTfSGLBSySpGQb2Ie75Hgkb+wueYojpNhvP84uuZG7jOs+XvZUbHnkwVMmivHz7GMW\n4VTPOdcD90irDejcOVb+wGq1il5zzjWut/Qca6mNUaFrZRlGjGjKC/A109db/1uR1k6/Lmfh9Xhe\nBFxtwws6p3IKIznedP3uyfQ5PzoHkFlH5ilxneV1az4dx4asANektL5w/Ph/ZSTYnlu3bh2F0To5\nOcHDDz8ccwY978rzI/U7z+dKZRdGEtd63b7tPqUs0ljO8lv9nLP+H+W3Jhsb2Vpqc8qF8eMRvqYC\nS+SGl3752te+BuDq+vjf//3fAJYcWJ5bc2K49jDqiflcP/7xjzfbHJvRury8xK9+9asoL062hIWG\nKWX/la98ZbMNGSyXbte5Oyq4nsbUn1WTNPoo+iqt1yOkiBE//j6lE2aY2aN/6nE9b84jtoDFZrnm\nvPTSS1f2Ubz++usAFoZ2VKhZkZ450v1xF5TRKoqiKIqiKIqiODD2YrTOzs7wxS9+cZNfompqhHst\nFbsUBL6bt3zmtUpwr2TyKNyNBUhe2V0wy/Eaqb3sk6O1LyPhMaf0EpNd0fhj9zqyMKzmY/lYu8cV\nuKowxeKH14kbN27g85///KZtGmtOLx3b6DHxwHYsNW0+sS78pIeFbAMZFmA7jjudcxTHPVMAdMyK\nv862H9nR3b4bYZc54DmMqUCje7TYb6qqSc8i+5ufzCkAFhUsZ2lSXsavfvWroxaCTbk49JrSfjh3\nlbHl39zWcweBbcZotu76tvxN1wLPyUpKUiPVwuQlHLHEia1yT/BsvZ6xxCNvcWLufM4ru+S5OWR3\nyLimIqU+Dsnj7WuFXhvX6cvLy71UdA+Fk5MTPPTQQ1tRDsA2i5Py99yzzn5Nduhjl9bCmVqlY5do\nF2IWeeL5e7N1d1Z49m5RPDNFuBmrtg9Dxm25lpAtAJb75ptvvrnVdoJjy9/IsvPZUeE53teFy8tL\n3Lp1a3PNmsPK+zQZPeb/quqgr7Pp+cfvbewXV9zTbT1HS+9NKVeJ10J4hMBM58CfQ2d5t378ZIe+\ntu/C8qZ7rK8ZzLFKysuufk0WVRlzHo+Ftz/88MMr+2qb/dk5RcjtizJaRVEURVEURVEUB0ZftIqi\nKIqiKIqiKA6MvUIHb968iS9+8YsbqlQpcdLJIynghF3CiZyOV6rVk7K9uGk6f0oE9XY4hZgo0pnE\n8S7FMT2kcZfwLqeEkyS1h0Ekatr7lJR3kspm2BVDrki5Agv97SFzGlLKMbl9+/ZG6vU6QVEBhj5q\n6KALfLD9M6ELD5PUbXitFCZg+AGlYYElvI0hNklcI4UT7opd5tRsv13EZ/y3NDdHoY16TSPJ7Vnb\nZ6EO7H8mMlOERAtp0g4YiuBhtMASHvDRRx8drSTB6elpLEnAa+M18VPFMDxkcCZFPRIYSAnYRFrP\nXJgiJRvzmKPCkHpODyXj+CShHbcjDQeZFdl0eLtSX4zmySz8ZVTMOV1DEjXwcFl+6jlV8OVYoYOf\n+tSnhqFNwHaSfxKH2kUkYhQOmNIB/P9J/MRDYWfj7Tac5pR/zsq6pNBlP9esPMwuxWR3EdPyMCyC\n7WMYPLAt/c5PvQbOVw/P17WMYjEqonHduLy83NzL9T7BezeFbHj9Woib1+ihfgralKdipPA7F1xJ\nYfejcMD0POs2kVJtPDQv2ZPbiz9j6m+jdJ4UrjpKn1GMrkHPSbCvOS4a5kkRExfZUNsbPY+kZ+hd\nRP4UZbSKoiiKoiiKoigOjL0YLbIDyXNIzJisXRLtfdsZ4zPydqdzeAJxequ/27mBsXRmOt5M3n2U\nfJhYtJH3NBX4HH0muNS1evXp0aGXgF4rFRbg3+5hVIECLTCbBFLuNS4vL/HLX/5y47lwKXdg2zuZ\nBFecydJrHCW90/NHFkv3c695SvKc2WHyKt3tGpIs9wj7yMPPkm13wWiOpmO6dy3NR/Yxx0EZRdrs\njHlRFvYY8u5kB+j9pVQysHhdna1TT7GzPzOxgLt9Kmbs3iiBOMlz+3gn6WyuO/yceVpdKGUXRmfm\nrSSSYIZ7PZM0sc9p7xNdBzm2XG/TNmSrnBHTcyaW7DqxWv26MPxsjZ/ZmLNdSSBlxMISev8aYeap\nJ9Ka4kWEk826PRO6jd/3Z8cZsffaPu+DkaCLHo9IjJb/lp4fuK56KYLEcIzYa2A3MbN7jRs3bmyi\nBLRcEf/2iAEtW8B2O2uV5N19bZoVs+ZxVEiMGK1RiU304t/p2ZLgWPj8S/sT6Xl2VE4jYZ9SCbxu\nLXg9YqD4XKxrIm2WES0e2aL7ex+ka2nB4qIoiqIoiqIoiiNjb4rh9PR0GlPpb9iJgfJtZm/1/v2M\niUpefvcOzeTdR0hx4v42PZMUnkmtjrwEszYlL8Y+bIXnhyVZW3rIKZH94osvAlhytQDgtddeA7B4\nXDzOV9t4cnLyiRmP3wTr9foK8zfLPfEYX/2bTBZjtJVlYL/xNzJYjOtO7Jd7SJN31/8/yz30tuyb\njzVjMmb7jTCax2mbWa6X7z+SrtXjsE9dAh1Ycpxoq7TdZCPn5+dHZbRoY5o74AWKaXOaM+ieYvfU\n6W8jlkHXAu+DlCPjrHiSlPdcTrY5FSP2Nid2aWQ3iUUb9cUuReTVNmg3Ls+cGGTvU+6TJIU5jmQq\nVfLa25PYAV7Pww8/fBSGgHmFM1Z6FL2h23t5AO0rZ6zcJlKekzOh6d5EJCbLbX1WuHjENuyybYpW\nGMnYq6fe+zZF99wtYkf/9vtH6hPaKtdX5m1r/rbLfXMte/vttzfbJPbkOnF6eopHHnlkcx26zvI7\nXivXLO17Z1k8Zx3Ylnz3Zy4dA48Q05INhLPa6Tl7VIYjPR/znP58PFvPZqUNPon2QFqvfN2fsUpe\n5oPXq/lX/I3PZoxsSeV+Zva4D2OnKKNVFEVRFEVRFEVxYBwsRyt5CIGrXij34utxibsxWUlNZxZ7\nPNo/vbGP2pC85ru8sY+8TcDdi8DtwjZou0f5GLP8Aj+eerz5Gz05zz33HIDsJWDhwhTPPfNIXCcS\n8+heaX4mRov9wBhtVR/iONAjRm8Yt1V759/u6UqedfcuzjzVM4XLkTpnYnV3UQIceWrTPPFz78KG\nJWZjxiCP2scxSzlO9BYmz63a8bEYrYcffnhjY2prZJqZ+5iU7EZr1C7qqSlvwtdMzglVF3Xml7av\n2/DvXRgtzwtIrLtfpyuv6m/EPt7KxKrQ68lPjfEnfA76GpjWdo4fx5fMK/DrwtnA1VwNxy7FaO81\nkqouMFYtS3DGUeeir9POLs3ynNzrPTu3YsRkpf72PN7EPI7Ws2QTo2vRuemKlqmPnSlJa7vfG1Ku\nIMH5yjmeFAtps1xvmfP0+uuvb7Z57733AOS86evAyckJPv3pT2/u13qf4Bi60qeCY8g1II0Pv/P9\n+eyRnrl8DqTnPH82UAac48A8JF//9ZzOwqW12NeUdA/3ts+eVfbJ/x69V+g5eDyOA59RVYmV9sjr\nZGSIrrOufpmepXZh6BLKaBVFURRFURRFURwYfdEqiqIoiqIoiqI4MPYKHVyv17i4uJiGopC2TKFC\npCVnsux3S7ifiRmkcLkRtZ6o+pEsu2KU8JowKvR5t+/8PPuEKbrk8S5ICX7+HcMEVCqbya/chv9X\nmlzp12OEYa1WK5ydnUXpZ7djTwwFtkUwUjggw32efPJJAAstzW1VqGBkhylcbhY2Oyo0mzASSklz\nYBTaks71ScIDflNBFKfzUwFzgn2kkrwUkaCoC8NWdL4wXOEY9gr8ul8feeSRTViDhg6OygPsghQu\nPUquTgW0fVu1a4YF8jsPC9TvuK3LDydZZNoY52YSw5jZo9uJb5vCDH38td9cWt0LDgNjSfqUAO/n\nTjbL9cXXKw0X0oT8Y9ktME+U5xjyc1akfRY6OLoP7hJOrOccpRMkYRm3/RRSxr+9vIK2c5ck/1GI\nZXp2mRUa921mKRYOn5OplI+HB2vfeqgvw/O08PEbb7wBYB7OeS9xcnKCBx54IIZ6usiE2y6w/aw1\nG0teowvj6Lrh93S3J93Gw5pTu0YF2FP7PAwypZx4aHYS/eA5R+stsNvzzahdaiveF7yXM2RSQ60Z\nOshzcE1VARSWMGLIoa/jqV27ooxWURRFURRFURTFgbE3o5UEMPgbsC21m6Rs/U105ll3784sGXpz\nUcEzMSrIp397IuhM4nRUKDBhl+O4ByUlExOjYrV6vF2SbGeiHyMvhiYPfuUrXwGweDEo3Urvwd3a\neh1YrVZXEvJnHs00hu6hTxK7lA9nwi9ZE98XGLO6KZF75qkf2f7Mq7+P3PfsnCPbTyysF2zU/vc+\nmHmknR1I+7iNcdzpTdW/Z0VuObbHEnAhC5ukpEeFIROzNxO4GAmjpPXSPfSpwDn3d7YrybuPRAxm\nHvZkjyMJ+JTIPZK/TuecFfj2Iu/cVr2n/I5r50zGenTN2m/0vvJ4nnyvfx+rJMF6vcZ6vY7e7lEU\nSGIKve9T4v5oDU1zYCZe4dvOWE5/LiFmoh9Jjn+X4rHELozdKGpmdr/dhQWfCW+NWD61WY4bBQY4\ndim6QJ8Xrhunp6fxvuZr0qwchLOvqX+dEZwxkKPi3cDSjz5PFIx64LrBcZnZ94wt5jnJGJHxIQOk\n7XGbSOv26J6T+sIZLe0LP4evIXo8v1/ynGqP7DfaYyoqzb7QaIJdUEarKIqiKIqiKIriwNib0fr4\n44+jB9s9KMkb6G+e+3jeZrHHMw/N6LckX5wKpgI5f2YUZ6pwL3zqC2cCd8nDSlK17iHbxTvncrl6\nPPeMJRljeqS4Dd/yf/SjH2224X63b98+Wo7WzZs3N/2h7Ba9TO4J0W3cW0evh8aaMzfL2ZJZvgIx\n82h6nkrKsRl5bBPzOyu26dvO7G+E2XGTd3cXJutu50xzytkVzXHy/LlZHs7JyclRir+enJzg5s2b\nW6wbsMwnX3cSu+FseSro6hLCqb/JTnm/Kqvrku3Jyz3KzZoxbkTyeo7Wplmu1y45iC6drPbJ32ay\nwz53fBz1d889S3PUozFSDqFKix/DZgFcyd+eMYUzL7fnu+g9yYsZEzPZ/H2Y+tQ+z9HxuaXj5PfT\nxIx7e2blFEbrY2JeRtek7Rnl4ep3vn+SNff1hO3Tuc79mS/z4x//GEAuxH2sHK3VaoWTk5OdWPw0\n3qPnqJTv6zlZSUZ9FqVA8Ni8p/EZLLGJzqJxbZ7lS6WccZ+bKd9xFGmScshG0Txqa7N1wK/Tn3V5\nnbqPF5V27QFgYQCZv53A6yijVRRFURRFURRFcWTszWidn5/vxN6kbfiWyrfBxN6MPJC7sFfELO41\nxUaP1AtT/gwxU/AZeQlmakEzRmvkJVSPx6i/kqfMvbLukQG2PRQcs5Rz1BmwtgAAIABJREFU5wou\n6mH+6U9/unU914mTkxM89NBDm77TXIpR4Uv1DtHLQs8H87GeeuqpzTZkSZL375NgFF+f8rjulvei\nf7vNpXhzP/7o/Pr/T6p8l3LFvF0jT3SaE94X3EYZyscffxzAwj7S+5VybB555JGjFIBljpYzK8C2\nqutsDHzck0rsKK9A+/uT5FnO1jFiZjd+P0mM1i5rFMfe7SepqBEzRsHXyrR2ju4bqR/9fpeKlPpx\naaspyuCYBYuB7BFnX8+UUp11n+W1jda6lGfp3vJZjq5/r+1ytsHbq9/Ncp9H0TNpbb+bYqZ+N/q/\nfuefaT0YYXbv4f+Tl98jBzSvhzk/x2S0bty4sbENvU+4TaXIgVku1d228XUcGCvApkgWgn2YmMKR\nPaacdd82RTfN8psIn0spWmr07JtykT1yICl4OtvM42huvCu3ch+9BuoPzJRPk/rhLiijVRRFURRF\nURRFcWDsxWgBV+sh7ZJ7kmKsd1Hc8TftmULhLp6aGbuU3pZ1m8TGjGpcpG128c7NrmF03JlHahfV\nQUdSjZvlr3m/0BPDfA1gUag5Ozvbi/k4FOi1YkxzGnfvO/X40OPx6KOPAgCeeOIJAFfrL3isucdf\nJ3bIvTEp3477JfXCUZx8yo0Z5UbOFPt2wYgJTpjNO/9/Ytq8L1P+EvvHPcHaTnqtyGxxfLX/eeyH\nHnroaPkuQK7rNpqPqR7LPspWvk/yYBOek6ltdIUqZXk9z9FzBlJeks+FGYPAc6acNmc5U56TXzu3\n4XGBRZHK1/TZeu39lea6My/J7rxezEit7Viqg3fu3NmMbXo28LmcbMzHOeVO8nPG5ozyNZNS5mwd\nGykGJ8bW792zZxY/TsphIWY5Wv5MldjCUV7ZLmvbPrXJdD3g37xvcq6rzZKZPVa0C/DrtnsOqsLv\nSUlpe5QTlcB9PNdWz+9zIdWSS9EOhOejjxhIhatLK7xfEoPpUWq+jqWaeZ4Hp32RmDrfhm3mM6ZH\n06UcMl8zU56x30/SmO+rSFxGqyiKoiiKoiiK4sDoi1ZRFEVRFEVRFMWB8YlCB4mZVGpKqnOq2MMC\n9ZgjWluP5zLBKbxtFAI3k6b3fRUeFpDCk/y4SZbWJXt3KYQ4KpCnv40+9e8R7ZlCEUdJwOk4pOA1\n9I5/37p166ihgwxhUKlvXtvPfvazK//X0EcmUXrxP8Woj5J8LalwUtj8VIrcKfAkp812sH/Z92w7\nr1e3ZZhcCiHYZWySRPvd4H2SSiXMwoM9FGEk7azbuhythlxyLChgQntgYU3d71hhg5eXl7h9+/am\nrTruHpJBu9G2egjlTA7c+4q2on3mayZDKlLYyqj8hbbdbTaFdfFvn29JLp7tSyF1d5MNTyFb3rd6\nPC8WPAu14XFcEjj12yx009d9D8/U30Ztutdg6GAKK+XfM0nzkWBGWvNcdGgm5uThqWkOeJhiCiHz\n8UnPKb7uJzn/UTHxtI0fL4lNeDuSOM7ounQd9/3cvtPxPFUgSZV7SFoKgzvGcwHw6z578MEHN+vI\nrMg2keaZr3kzYRzv37TmuRhKkvOf9b2HzvG+r89lhD+bJnGk0do0k3f3656Fh6Z0mTSn/TpdQp7H\n8fcCYFm3R0Jwuj37jyGJeo+YFYqeoYxWURRFURRFURTFgfGJ5N13SXpPie0jqcbkLfGkzpTY7WxS\nYsj8uMQsqdqlG9WjMGKpkoy6b5vOP2LEZkmXs6KQfi2zRNyZjDG9Z6PPtF9KQlQv5DE8VycnJ3j4\n4Yc3zIV6Qyk1y0/3vAKLF4ifycbc3jhOZHC1z5zJoqclyeazX1MSPeF9ynYqo8W/yeLwU7dh/zjT\nkRhR9zrvIuU9Y6pHnuC03+w47C+X6dd+428UxUiS/LN15DpweXmJX/3qV1tiKAq2OyVVu00k75t7\n82drKO2YNsr/J0bF1/jkGeX1uKdVPa7OaHmCN7DYLL+jB5Kfeh2+Lia2yuXheS0zRitJbjvzMpPg\nT8yNbztiWNWulWU8BqNFzIRSZuIVLl1PG2EkgX5H8Po5JikKhB7/VCDWowLSmuJMkX/qOucFihPD\n4c8Cs7IFhDPJMxn79Jw0ElpJIjujyJpU7sH7WMeKbfVnA2Vw9omMuBdg6Re/twPjAryJNR0Jmun+\n3q/cJ7FMnANenBhY+pqf/E3nxuhZN4lrjMoB6fxle3zc9yndkfrWI4F0bjgbnJ6lXSyK6wDbO3tX\nSHPTIy78fgfkos+7oIxWURRFURRFURTFgbE3o6VvuqkoKjHzqrmHK8WX8jf3vKrnz99OU3zpSJ4z\n5Wj5Z8pJGcm9pnhn3zZ5kHbxgnlsfvKCukcr9b97L4jkaR0VXUz5RkminND8omMwWqenp/j0pz+9\nxdgAi1fIGShF8jgCuX85ZmTIEqPFcznzpN5Al2H/yU9+AgB49913N9v88Ic/BLDkl9Hrzn3Uw/WZ\nz3wGwMJkPf300wCAZ599drMNCzGzPSzoq/lqd7ObFIft2yS73kdC1/Nwkud8n3xMjkPKy7i4uDiK\n9PDl5SU++uij6IX3fB9fJ4FtVsHXUGDMDKY8J+/7X/ziFwCuFh91ZjblF7hXm3OStq/FIz3fk5+6\n5pGV5P48pzJaaU7r95w/up97RjV/j3+7LL7ON59DiU13OAuWGLLZPVYZxWMxWqenp9GDv0thYI/w\n8DwgHh9YbIzjRDvX6/ZtUx+6Paaixs7eO6OVitv79c7Gg/trf3mb2Rd+vdrWUTF5YJlXPie1/0fP\nBsSsuD2vW0uesK38jdek7IyXXLhuMH+b/atsCdc69t2sjIY/z6YyA450b3I7Tnmqnt+aIhA8+sgl\n4dM9eFZuxiNFUo7liN2bFXp29iwxv94nyQ6ddUxFhT0CLT1ns+1ct2m7uv6PcofvhjJaRVEURVEU\nRVEUB8ZejBbVsIhUYHIXOPM0K9o2UsXS/VxBJMV6st30VGh+AT2X7qVMLJp72pISkl9DUp9Lseyp\nvbrNKEcGyDHEvg3b6N6Q1Lfuxfb+S78lRlHPccwcrZFXGBjHTwPb8cizIpT09P/0pz8FsNiVevGe\nfPJJAMAzzzwDYGGbdBuOE/vzxz/+8Va7aBMffvghgMXmOSb8Hli89j/60Y+u/F/HkuwEmS1X8NHz\nOyuc2E5naFPst7Mg/H9iJNhWtjMVp6X30T2Uymp4UWnuk5jyY9ksIwe8v/VvV1rS9nvseipiOmKy\nOAa6/jjDw/Ghvetv7oFMHl3OQbKlHAOdA57HRfZKWS9fk7iPtp324rZKxk4ZLXou/VPnkhex5LUo\nI02b9NwIXm9iEvxzlodzt9yxYzAEq9XqCqOVcsx0WyCrjPkzgd7LfU2Z5Sy7l9tzhvTYtFmyBYl1\ncQYrsV+eozxTL3XPeBoz95qn9dHva/6MoN+NFA/Tdc5yWTyiJhX8ZR+yfWk98IiGY+D09HQrYgjY\nZnYS0+M2kPL23J5nz4QEj+f5hdpG2rPbMLCsaVy/nJFKBd39GS4xonxW4f8TO+x5lDPl7pmCJzHL\n+U0sl7YrscTermR7HpGg9whiFp2QUEarKIqiKIqiKIriwOiLVlEURVEURVEUxYGxtxjGnTt3YpKn\nyyfOCue5xG5K9h7JKKawQE/+01AhD3NhKImGvTAEg8djCAGpW6VD+Z0nYitNOZJTTdKU3pf8XsNC\nPEwoUd0ucZuS9kaFaxN97ePoUuN6zl2ERk5PT48WOvipT31qM4YpfNPDLVMoq4ccaj9wf1L1tDna\nCsPxgEWIgvQ092V4oLbRwwAZkqjbeDHjNAZeboDH1XN6WAHtWiXgfRv/TEVKCW6jds3+4lyk6AdD\nHLWN3NYFWDR0h+Eqbt9JhpZ9kIovsr8+97nPxVDTew2usxzLVBhyJD+s33losNq1lwzwMDxdQ9nX\nHqaS5tIs1MPD43hO2oSGRPkazPYwfEUxKrKqbfWQP55Lw0LYDrdLbZcjFcV2MZtRaAuwLXGcQqxS\nEWng6v0kreHHAK85hfzNwtFGsucatukhRi47nRLUuU0SkvB7ZhK4cMEMlzLXMfF7RRJwcSGYJJXt\na46HFabi9i4slgq7+vOR2iXbmtYcxyydg2C/cS3mHNLx5Dw7lhgGMQpBS9uMnm30t1QWxMclPXt4\nqCnH6/33399s48+xXiYGWPqYn27nKS3FhdZUBOvxxx8HADz11FMAFlGtlO7g4fspzSWtEXoMhfeb\n7uPlPGi7KRTR5fRTwWJ/9+C9Ru17VqpjhjJaRVEURVEURVEUB8YnYrSSt4Nvhnwr5Rtx8mjOpB9H\nBYpTgUn3QHoxWGB58+fbPT0Cuo1LADvzo2/ufMv15Ej1ALjYhF8DcLXApB4niRk4O+DMie7nBVm1\nXS5F7MmcyUPhCa+zoo7ErPDcMXBychKTqz0B1L3LCmcF1CvkDCO9nWSvlNEiKNVOlkoZVpfYds8/\nsJ2o7+IQ6tH0EgLJs8Xj0fZpW3pOn/duu+pVdw8yj6N2zWunVD375Pvf//5mmw8++ODK8ZypVXEE\nzmOycF54UNvohX6T+MBnP/vZoxTVpLAAkSTSfW2ZRRekQpVuL85a7TKHtV2JDXC4x9c97bOSGwnO\nNnCN0jGjDXjSN5ks2pe2g32TmCw/B+2PXl5gW9bdIyOSFD+R2Ed+5yyK9hevSwUprhtaLDmJTozW\nId3G2Zwkp83+8MKkek4X0UkS0i6ClcpLELQxri2UMk8lCfjpz0TAMmYu3a7t4m++RqWoEl6fs9dJ\n3MeFc/SctC1nqfiZBKKSqIaf0wUdkuT2sRktIgkteIHyxED5+KQ1y8d5VMgYWMaUkR0/+MEPNr8x\n6sPLTCicrfdoEG3fqNwJnx91Gy93oc81nAdemiCJkPnzVmJGRyIdKrXOtXtUckOffb28D8+Vimxz\nf+6jz8UuY78rymgVRVEURVEURVEcGHszWrdv344StCOZWoV7pNwrCCxv1C4LyrdWzSvhG62zVcoO\n8G9uQ896yi/wt1W+EWueCj1ZfPtlu+jFBBZvgHt+lDlzlsLlq+nl1224jxfEBbZzVpLHzXPH2Nd8\nq2csrl6Ps2DcB9iO7+WnMiWag3YMz9XFxQV+9rOfbcZCJc3p+fEcuJkMdorN5Xccd7Ke/P6dd97Z\nbOv5SPy/jqXnwKScPO/rxEQQ7gn3ffQc/n/tLy9pMMrV0vbx+uhdU7vm/CWDxX7SmHSe322VXibN\n2aHN0o5p++oFI4vmcyh5Kh944IGj5BWuViucnZ3FQsMjxj8xIO5FVRtzRmtUWFN/87h7bZcXJk35\nSaOchpSX5Ewb266eeo4v9+P807WYf3O+0TtMb3HKhfX82VTk3O1PGS1+R1vlfJlFcIxyQXU/Z1N0\nLeb1nZ+fH40h0LYnD7avTfp/zxEZ5bfpd243Opa+PiZW1ssVpLwNz1nytVnXH9qf266OE+3X26Xr\nr0fAzAo9p3wr/7/nx/Ja1Gb5t9ss265zYCRbn8pQEElye8YgXgdWqxVWq1Usf8E28bnRSywAVxkT\nIJdmGEUCJfaL5+S9iWvV22+/vdmGv+kzlp4bWGyC916u9bOcOl/TU44f7Zn3U70mZ/68GL3aYyqx\nNDqeb6s5tVzD/TmO59J5x/uAv19ojqWv9/xN+8vbvCvKaBVFURRFURRFURwYexcsvnXr1uaNMb0N\nerxq8nJ5/k/y+LiSG73f6u0mu+WqbPrW66qDno+lGMWrKkPG43keTVJZ8pho9dxwP78GfioL4t53\n9knKE2If821fY1BdOYnXR09pKjhLz0RSo/Eipa7wBGTlt+vEnTt38P77728VxQWWsZzFCs+Usnwb\nLyhKe0w5R7TRmeIj2+NFN3U/j9tPqlEjVR69TrIDriCo56S9jPIotG+d8eX1KiNNG6fHzj1Uqa2e\nB5EYDv9UTxnnpOff6PxNeTLXjdPT0ynL5EzWiE0AcrFxfuf9O8vxSJ5fB9cA/wS2mU+381lxy6R0\nyO25JtErz6Lgen6eg2tpKm7vBdfdqw8s6yHXzFRw3PNjXd01FdAmkmIWx4Ln/MIXvgAAeP3117f2\nu3PnztEKFuv46TrpUS5e1BrYZhPZ5ynvivu7qq9eN23d7/tJLTYVNnfwXNyG9299NqDX3HP09DnJ\nIwXS/E0F4LWdaVtX1dS1mG3k+sp9NIKFNsW8G/Y/11CdA6Ni7xo9w/XeVUy1XZ5Xdt1gce/ELrG9\n7CuPcgK21XzTc7FrFTg7pGsyx4nPuMxZVhVez7NKTK1rIXBc0j2T8OiJtI3PF72H+jOU5z8qeA18\nNuC2KX9+Vjyef/vcTjm/vhZzjlJJEVjWV1coTCqx+6KMVlEURVEURVEUxYHRF62iKIqiKIqiKIoD\n4xOFDia60qn+lMQ6EmNQao6UIelAl4BWGpXUIROBGZaklKaHtSUq04vIEUk4wxN7PYxBr8uvU4/P\nNjKUjNfFa9EQSdKmTtlqGIQXPuQ2qZAmwwm9GGhKWGR4gRdY1GN7Ym8Kzzg5OTlKSMv5+Tl++MMf\nRpEIv24X/gC2Qx/5qTbrwi0cS47tW2+9tdnWC/D6nNC/eVz+PxX/HhW3TGE5HtqYhAA4lsnGvA88\n1Evt20NrXJQG2LZ9bqPzjXPHQ2RSaKMLcHi4gPaBlzbQ/lIRkmNKD6fEZJfNdVsBlnEZFRoGxlLt\nSc7ZE6WTPY4KQeu885AoDx3S6/Ti7EkG28N5UhFZntNtIYkQeDJ7Ch305PZ0v0vlDoDtJHVgGRMe\nl9eg64GLRjG8S8UM2NZbt24dzWZPTk6iwIH3a7pPeDmIJKrlIYdegkLv+/zbRUZSYW+em+Oi7eJ9\nb1QGgaGouj8/vRSMtsvnmYpqpLBWPZeueS5j78W2ge2w7SSO4+GTbocqMOMFXfmbXgPXdtqBr/Ha\njmOusZeXl/HZgPCQOF3zPLwuSX97OJunAaRyJ+k51s/p4YDaLi89NEqJ0b/9+XFW8NrXPv2bduPr\ntsKfUdKzAeekhwdqn4xSV/z/ei6em+Hdao9PPPHEld94nSmMcl+bLaNVFEVRFEVRFEVxYOwt765i\nGKkoKpEKgbpHlG+F6lnnGyvfZF0EQwtM0lNDT88ughfJG+9v/J70rW+v7sniNek1uAhG8gAQfHN3\nFiQJcLjMt3reRqIN6lnkeLF/6M3wBF9gYdb46W/7ep3+/5EwyLEYrZ/+9Kebdqjn3wtBz2SrPVlU\n7ZrHZv95Ad733ntvsy3t2uX49Zxe8JL9pp56eo7YZi8MnLxhPifVs8XveBy2T+eGe++9GKFuS4+d\ne+l0/rqtu8y+nsuTvdM52XauC0nARcVhgMUzmIq/fvzxx0cTFrhx48aWzCywjJkL2iTJXmdWkqz4\nqOho8la6pz2Nk2+bCpS6KMs+Ut56DS7uk4pjelRBY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bu8vDwaO6BQzwpzqtj3HJ/EevEz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\n6vsx7037+HWSyRJb4LH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+eQ7QxLScvyM1TGCbwaxitEbKhEmNr2KORmt7jgrhHFTxiZVegmsCVPOmYp5G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md4+rHtsZEl2vyGh99dVXk8i7s13OOANjdolj7nLjwLjsRZLTbhUdT/12r2Caz57srTbh64RL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\nB3LhVMJtTu8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qZLc7NSbsXqrWZiV1nF1kUAe7/uV2YUw//PDDiFi5JKrxYrl5JXHNoh+Q9VdJ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_closest(4, nmf.components_, X_train_nmf)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Компонент 13 е много сходен." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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aB8aZMVojjNQI85PFTZ507JPa9bz7LMHszGGynjfP7A8Njq3SQn7Is0D+Dm+j\nfc8eDfWIjhTXg8dI1fT4OzA7lVpQpig0onTF7dQiliM2r55XPh6uISs0HLEfU+1yWLA9jxvvW7ED\n7lrAZGiBZ6dmtGTuQBUJELHvtXMetkrxKlMZrDya2eeIfdtShUv+Lbsux4hgG+dFVabNsZ0Yb2VG\nYU/M8oExOg1TgryViGn9QF4nCiG7HAn1eFceap3rzKKBVfjqq68WYwocIxAxjQv61+V/Zv06knfl\n2CrHBvP33C7AMUe6blV5RVmur2Pl1Kvviolnx3WKlDpP+Lo1j7AaB41SwD5sa2C3wHa9++67EXF8\nDmC+aeFxdw9bqsD2s2fP4uHDh1ZFVfMzndJexji6CBZlejRv053DMTO6Pui9k68D16Dtc8XoNX+W\nIzxGWKqskDLuI67ocsbc8neAm5va9pGC4/r85gqi62enhtgFixuNRqPRaDQajUZjYfQfrUaj0Wg0\nGo1Go9E4MM5cDGNOWCB/l4U/OOp5JFRijqhGte1IotwSoXna9irB/I8J2+3XRQmdlPTLL78cEVOI\nD0IheBu8zySuI/KETbet0vcuKVPlSivRGFDgmszM59SkWCeDjTAD3bYSr0B7KmEBTULla8j6gEM4\nNFyqCknQZF+X9K3buIR4DtVaIgwL0u5ufdNwixHRiSp5WUNONQwvIg+jqUI9nBBAlsjtQr90fzcH\nNAwHv33yySe7bT788MOImIr74row9zkkSqXp3f0AoVToNw1B5W0gE491xYnGZOGTfJ0ajqPF013b\nl4KuR/ydjju31ZXW4H34fRYm58KAdG12CfIafufCFTWctBLj0TIYLtwJoZ6wkS+//HK3ja6Vuj7y\nudHPGlrtttcwQC5JoGHzWprArQcIib1z505ERPzmN7/ZbYN5p+U5LkoaBsMJVmiImSvErvthLF24\ntF5/FXqmIZ0cFqjh9Rqiz21W4R68clig2qo+e/A2OnbcLhxTQ2EruXhdt0dsowolzu4HDu6ZLRsb\nFzo412ab0Wo0Go1Go9FoNBqNA+PMGK1KRn0kuRo4lIduToL7CLN1UTEiIfzHhPV6HdeuXdt54eBd\njoj41re+FRGTRw7ePOcpVi+TY1Iy7zR7c7AfPJjOg60sg5NDxXt4oirWC8ikwfkcFTOmHlYV9mCv\nrPaJE53QtlaSqdgfnjOci8cB7VC2ir29ylA6dsCJFpwnIJXtkqEzSeqqWGgF3c+JvSiqJHbdj9ug\n+ynzyFA/Lv64AAAgAElEQVT2xq1ryoTBNj766KPdNr/+9a8jIuLBgwcRMXnz8dm1D/aiTEfE5PlX\nBoH7Ar/hO/V0M2OuDJkrxO0ESrRdvP9S9631er2bR8yW4JowV5Wpj9j3/LvEdmXLquLGCpzLCQEo\nY+sYKG2P8/LrOGGNcuUqwPTADj///PPdNjovYE+uTEMmQ+4iB2CHaA8fBwIXYHp5PVTcu3cvIiJu\n374dERF3796NiOl+GhHxy1/+MiKm+ffxxx8fawtjKXtdrVbH7us853SuulIhsGO977iSKBkr6dht\n7SO2H5yrkiuHvejzhyslowxWFSmi18TMmDJaFfTa3X0qK2ngBG/0PlDJ9Wsfu0gWAH1QtW8UzWg1\nGo1Go9FoNBqNxoFxrjlaI/lN1f7ZbyOS1FXcfYaRImlVMcFDo7pe9fj+MbJXDvBawcuDfKyIiFdf\nfTUiJm+esjkR+8yHeoci9uORNd7ZeX5Ubpq9i+pR1/ykiH22Sz1RzvOfSWbzb+otdmyDQj2lfO2a\nH+TWgyzGmoF+hwcY/ediv9XT7eSQNSfNMQhL4qT1ROe38xTjWivvnbJ3+N55NDUfrMo1qtbOLAeF\n2+e8w7xPxL53F3bI801zc3A8sA1uW8xFNzeRlwL22+VuaNFmzAucm/PCVALeSW9rv7lzou2PHj1a\nTC47ws8nLWXhcgarQtIA+gb9B/YFfedksNFHbg0d6aeMyXJRDNgG4w3Witkq2Kiye9xfylzhOl3E\nBe4VrliuQplfZkjBOOG6YJdVaRFEh6ANiAzh9zjO//7v/0ZExP3793fbKBN03gAD6/pM55grMKyS\n5npvZ+g9yZVxyM4FO4rYj2DRwvMMfVbR0iYR+2uLyzkFtCi9K0kDKGtVRWW4Z/GswDNfp15zVhaB\nz5GVdGDoM4LLbdaczZPQjFaj0Wg0Go1Go9FoHBhnzmgxzoplmatsmGGOMuESOA0j+MeO1WoVly5d\n2nkD4R2MmLxt6p12gFcDnnAuzqix+Oq1ZG8PvEzqEWEvJdqoTBu3D2Ov3jT1nvN+Gs/vPFvwTmru\nSMS+B1i9Oy72W71+7B3Sdrg8LnynXmIchz1U8GxrngFfgxbiBLhvWTlpqTm22WxK5gJwOQDqfXfb\n6FpSKZ0p44S+47kEqMeQP58Ud8/batsd1CuseYYRk9dd53blRVe2mYG5DYB14PmbMXd4ZeZXC6m7\naAUtpOxy9zg3aqlC28+ePdsrfBoxqUBqHodTNquYeVwj7A65QTgnj3umQOa83Kpa6GxO1dRcnpmu\nVY7hUM+/i7RQRgufnTKsMogagcHH0agMZkr0/qG5dk65Ff3kihqrsiHusb/61a9227z33nsRMd1L\n57IEh0CW0zgSuZQporq1OFMHZnvQ+x/GBIqp/Ful2KfrIaJAnEJhdp3ufqjtrFgvXKdjRHU9dGp/\nmnel+VgRuZrpaaGsmWO0HBM5dOznalmj0Wg0Go1Go9FoNPbQf7QajUaj0Wg0Go1G48A419DBi45v\nSijeHOn8JeDatRQQOohQBpZ3V1lfFzqiYS4awhYxUfN41TADPp4WN8Q+HJKEUA+Ek+DVFZjUwqlV\nMrm2gcOnsmRRpuo1uVZFP6rwNU2Id212ybpORCPCy2wjpAivTv5Zw4Q0OZl/e/DgwaLCGCMFr13Y\nhP6G0FZnhxraibnAtoH9MF9gj268NdzJJWm7cJIIv25koip8fg1l4rAplVrHtmgnrwcaYuUSsDXM\nBb+xHWooFbZBn/J4wua18CyHaiHsisPL+HgRU39fv359sdDBCL+2wP7UxnicMsEeJ8qSJb2jnyL2\nw+1cWLLKS2totTsn2oPPbLMaHu0EMzR0TEPrIvZLB7hwQL32SrxIt8Hx2U5wfg0d06LO7rgu9Avz\n6o033kivQee4huWeNVar1bEQbYbeu11IXSaB78JJcd2aBsD2qKkHCBnEMwLvj7XK2Rj2g63i80hY\n4EiodtUXGiKpIkT8XoVm3H0OqNJ69B7o1lkV8nDP0HoOV3x9pBiyQzNajUaj0Wg0Go1Go3Fg/EEx\nWt/kQsMjmFPoeUmMJJeeJ7iQJifsajFCl4iu1+IKxsLLATEGLXLMHlh4rfQ3TnhFcvCHH34YEZMH\nEsePmIQy8J0ySAyVNnbeXfSLk2cGVLxCpdadR0oLDLPXUuV9nQCCslIqHsDS2+rBc0IF6G+wXrhu\nZtpcccrzxHa7PWYzzgOJa9W+422UreJrVIlnXKt6TCP2RUW0eDT/pqwSt0vZgUqON2MHHHOnYip8\nTvQdMwYR+3bkvnPrmHpaHeuF/WFb+KxFarmteNVioxFTn+J4jinn5POl7n+bzcYyK1l/sI2pTSlr\nHrEvuqOFoNmecC6V2ncy07ruO2ZVt1U2xrXPSW/r+qrMG2+jUQauLAd+476M8AxCVYAVzJre36qi\n6XofcUwOjotixmyzGlWA+915YrVa7ezRsYHK1jlGXe9N3A9qxyqiwvdDjZaB5D6vs9l9y82TrEC1\ni/BwYlXaB3rdlbCMi3IBtESCu+/rc4w+T/B1ZYJbLkpF4UQ6HMMGuPkwgma0Go1Go9FoNBqNRuPA\n+INitADHSFykHCaHkRjUi46RwtHnDbBZKlvO77Oi1hH73rqKOYLXXL2L7BmBJwTtgYfKHU9jtsEK\nRUR8+umnEXE8fjhi8laxBx/eL/XK8b5oM/oEn6uCwFrclr1qWjwWXjrObdNY6irHRuVwtTgoX496\nGDkPBwwg2oXPbLP47tatW7M9V4fAdruNx48f70n5RuzL+Tu2SksIKPvF+2cee/Z6KhvsPLeaf6Pf\nR3jGKYPG9ru4e7U77RveXourYn4wo6W5aNU6pt54BubOK6+8cux4WkCa26w2ywyHsrpaiiFiGps7\nd+7YNp01kO/i5Mpv374dEfvX5vJ1NF+TxxvjjDVEt+F+1bwwrA3crzrOLv8iy991xejRPr2GiqGv\ncp+U2arKNDg5fL2GqkCzzvuMwePjZGuHuxbMt3v37u2dE9v8x3/8R9q+swDyt9HPTl5e1yG+3yiD\nonncEft5VrpuM6OlazkKXbuyBVqkne1a10VlWPn5BG1Hm/HKa7Rep7MjHXt81uLvDH0md2t7VhSa\n34/ME80BdXNC96uud+4a24xWo9FoNBqNRqPRaBwY32hGK4utrhgtF9++BNtSsT8R3xwWK2Ks/yNq\nj9pZYbPZxM2bN3cebWa0VLlnROUNXhSnkIT9kWMFbxbnX8EbC8+R88ZmnhX2Mun54aHBNfHvOKfG\naDPTo95FF/utsdXaXj6nqimqd43fq7epKhCI8UNb2L7g2coKvEZMnn9V03IeqldeeWURdiDCs0UR\nk6cer+gXN05VzLqqpqknm9kGndfO06c5VNiGvae6plXqfspOupwd9STjN/Yoa74kzum2xfXAxpyy\nZcZkufsJ+h/HAbPDYwuvNdqp+UzcdmXTXC7RjRs3FlEdRK4LrhE5pGhTxL5329kPrg0MiCu87hT/\n+HfeT/O4+HhojxY/r6JLVL2S1yq1Kcfy6nzDPpy3p2qugLs/KUsIW3Eqhtr/Tl1R1S9dzl3WP1X+\nm8v9hY289tpr9nhnDbCwjp3EPRPFtnEdvBZjG9zfsSbz/R7zWxlWl+On93185vs0zqnrvsuXUobM\nRRLgOPpcwuusXp/L49L7KGxNlVx5G1XgZHvUaIxKkRj7O8VWIItMYmTP3O6+OVeNuBmtRqPRaDQa\njUaj0TgwvjGMlqvVcBIrxKhytNw/6vNCds6Lwmipd9R5bjXH6SIxWuv1Ol566aWd94w9feqVrhR3\nNKaaPT7qJfnggw8iIuK3v/1tREwMV8S++l7VJ+qxqepfwKPpcpfQds3D4rhutFG9u5UqD67Fqanh\nN3ii4AGqapZU14m237lzJyImzxb3Lc6lNWr4eJqrobXU+DibzWYRBbfVanXsvOzF05ptju3UWiG4\nZmZz1VOtnkieJ9qPzkOa1ephpUwcW9cJHNcxR3h1zK+yr/C8crs0/6LKGdR+g224vE6tocMeW617\nhVwt1BQC6xOxXzNHFd0i9lkQp2bK82QJm12v13H9+vXdtbIXXtlSZYX4O7XLylOv21T5gI6pVe+0\nyxHN6iihLXwNyqwqU8/fqTIcFOYiJhZFayK6XKhsvvG8w5qJfGDYJ9uwsnuq1sjMtKr0Vc9Pymgx\n0I67d+/u/XYe2G63sd1ud2PiokB0neVrxDhj7O7fvx8R0/hFTIyWswX9rPd0p4aI3Gz0HdhiV0NO\nWTPNIYyY7tO4Ts1/5Peaw8bt0ugRZbgcI6q/OYZeWTmeb5q3i9/QJ8xsKVvonm80KmNErXcUzWg1\nGo1Go9FoNBqNxoHRf7QajUaj0Wg0Go1G48D4xoUOuu/0t4rCrpLhzhoXSfb8JMwJP9EQoGyslghp\n2Ww2cePGjT1p6ohcwtYVVQQc/a6UM0IG33nnnYg4HpKgYS5Oelvbh5APDmFy4Tf82SUma1gIX4OO\nDc7lpGV1f4QbsPy8ShxrW/h4GtbDbUcYBPoAIUk4F/cJjodQFITMsNQ03uv1sV1gvJzgyXlhs9nY\nIr2ahK/hRRH7oW8sVw/gOy174BKKNRQFYakcKqpJ1AijQegMnx9joOGuPAdUvMKFoOCaMU6wQ5eo\nnIVsuXBhhPEhBJhDZrTQLNYVDpVDcVa84jgfffRRREyhhHx+jCP6y4UiqhgNzy2WfF9KDOPy5ct7\ndsXQkDq+B+sapeF8vL2GfGdroduGz6ljr6GZfH59bnDFX3UfJ9qhNoswM8yXiH0JcO2Lag3VMM2I\naa5jPdT1MWL/HoPXqkiyzsnqWcaFF2J/Fn45T2y323j48OGewFLENB64zzgbw5qnghd8H9SiuiNC\nKzoX3BzQMhUcBqpiJ9p2DnvDGg47hF3ympcVznZ2rSUNqnQSve/zvMO5dN5WxwFcmKGGLbvQQRWP\nqsLy5/5/aEar0Wg0Go1Go9FoNA6M2YyWS1g7C+g/f/ePVrd1XpPsX6879lnjojNazlswJ9G1YrSW\nus7NZhO3b9/eedHZ05olQTtPiLItvI0WI4QXS8UI+L0m4LJ4BY4Nrym85ew1V8+8MmOO0coK+vKx\n0U/wMrLHVgUt4EVz3l0VV3CJ5upVclKwKs8N29JkYG47GAO9Fj4Ort0JMbC08VJiGJvNZs8rGLFf\n8FoFKiKma8T1K5PE77MCvrxeqtQu7MCJV6CtYJeQvB0x2bjaj0pT8zZ6XCeuo6UD2H6URdE5z30C\nzz/sEkwUC67g/JgvKl3O7zEX0Rf4zEygziG9fn6vfcLbODZ4Cbj5okIkTiJZxU4qb75KkbtrVqEM\nJ8fu2MyI4+uYPj9okr5bZ7WEAHvEMQdgU8z4ArApFXlx9p2Vp+Bzwo5VtAGMa8QksY7vcN16v4rI\nhY2czToRG0DPcd54+vRp3L9/f8doMYuDPofNalkQfp+VY+H3+M2VF9LjZcfn46hIibMJ2BoYNnxm\n+XmVbndy8fpcB9uqijdXjJbOTX0+idgvau5YLy1BgHNm5RH4nO6ZX+3Z2bm2i9fyCs1oNRqNRqPR\naDQajcaBcSpG6zyZLMVIoeFMXjxi3zvI0H+7lST8HDhWTT1k6vE4S2Q5VSPxw+44S3j9R3H58uV4\n7bXXdl59jmVmGe+IepzhOUIsO8e3ayz0q6++GhGTjLNjq3BuZWx4G/zmvOaAFv0F3BxQ9sJJAKs8\ns5MZRx+q5D17qHEOnUuVrSgL5r5D/2tuEbdZWSs+nnrBnYcR21y+fHkxRuvSpUu2gLPKisM2ePyx\nDezPFetWBgvQfKeIiZVSqX4Xx6+f2dOOY+N4WmzVlV5QBpltTBlj2C73kbJxug8zWrAt9De8/I7t\nxLnefPPNiJjmfMQ0rzAmKsHsCmCizTgO53FhP70fsRdbixqfN9brdVy9enWvEG/EtP6pdLSTkNZc\nP8cOcHFmfuVx15IEI/dyxw5pjiDsGvbkohWw3rh8XhfBkLUdx9NoBfcMhG1dvpOWFME4sF1rX6pE\ntnt2AdzzjbKu+pwT4fNkzhNPnz6Njz/+ePdswDm5GDPN5eRtwAaBndQCxhH7hYqr50/tM12z+Dj4\nDrbC4473yiqi7cyi4rtMKp3bAcCuncT5SKkkjSrQyAQ+p97/ec3TkgYYM+1z3k/PyeOAc2EuuiLV\nsAPtk5PQjFaj0Wg0Go1Go9FoHBgXTnUw8yBXMa3KrFQ5QlXh46ygYqVmNAKnmJXFNztma8Qbl+Wg\n8T5ZrL/rN/3nD7gCklkc+0XAer2OF198cecRcf1asS7qmYf35N69e7tt4EHKFPbYw6WFEOEN431V\nbcopSeE7eLvV6+2KWmIbLVzJ1wAPP1gQtlllAHEtzlOvfeDmkjKq8J664ovqbVIPc8S+Gp4yC7w/\n4PJFlmZqoeCGtrnYdc2T4utStkYLBUdMfaV9hvwNzq2ChxDHhW1kBXMjpvFxeYWqsId92MOu81Vz\nAPh61KvLTC3mF+ag2ijbBs6B4333u98NBeYO2MJKERT2/frrr0fEtGa4IqW4dsfCAlo4lMcT13z1\n6tVF8rTW63Vcu3Zt125XZFtti21Mc02rHAq84riwS4xFxJSXiP5EX3G/ZvkfLvdQ7xVVzojmmbGn\nXo+j4x8xjaUqgWJfZtxUidAxUOgLLUZe5btof/H6onmclbKcfnas1xIK0Djvo0ePdmsDMz1Y8/Ad\n1gbO11S1QWXPI/ZV6rJ+iciLdbt8KcDdV9X+tACvY4n1GYiPp+yyY4OyPP1KOVevyakY6jnZZl1/\nR/i106mD6raZkqj7rzD3P0EzWo1Go9FoNBqNRqNxYPQfrUaj0Wg0Go1Go9E4MA4mhjGSBFcd86Tf\nXFiahhJUIT+VFGlWsNbR3XNobg1NcLKx+tkVCKwkQd31ZDhJjt1JJwMjxRLdGC0VFgAgDMvR8Jmc\nqkv81THk8CQksIPCVllfl3SMkCqIULhEUC1c6Sh/bKP9zJQ4QlC0yCpfgyZB4zcXrgjgGvg42r5M\n9pVRFaUFVLpVhRki9sMznLiGhti4EFkWG1gifHC73cazZ89KeVn85gpLAwjHQogVh1iokMlvfvOb\niIh4//33986JkKxvf/vbx87JCf0q3e7EVBBio7ahiecR+/LFuF4+nsqoYxsW8sC5qvUfwLFxvRpy\nFRG28Hl2PA390nZH7JcpcMnymTQ0rwe8zRKh2+v1Ol566SVb/BUhgr/73e8iYiqOyoVds3A7Hm8t\npg27wTx3YaXoC6xRLnwf44G2c+gyoHPRrQs4NvavQuk1NJtthMNQI/btm6HPLK50B9qjBdxdkj/6\nFm1wBah1ramEjkbC8pcsSXB0dLQnex8R8eGHH0bEfhF0Di+EXavQhbvfaAice6YbkXfX0D4nTIEx\nwzjhnqFjym3X+3T1/OlKSWgoLa4bx+X26bOKC3fNQmw5xQL9jzbDzjG33LzTc7uSNG59BbQw+Cia\n0Wo0Go1Go9FoNBqNA+NUjFZVNPhQUujZ984jMsJoVUmIJ7FLlRR8hYxxy76LqPtvpG9H2MHTHH+k\nUHS135LCAuv1eudZcYXz1EPHngwdQ+d90SJ/ykQ5SWr15rHHUM+J4znGUaVR0T72WsEzr/LDvI0m\n9WuhYd4fbYVnFGwGe7jwnQqEOAEFLYTrpFO17fAo8dgpg+CSvvU46FPXru12u5iwixOdidgfA7SP\n2QG1x0pgQBlC9CvLi6OIKcQcHIum3lzHzGM+qHSvk8HWhGaVBOZz4jjYn72nygZlLDxDhT2q8gDa\nFm4jrhNecScXrEwtzs3iA07IRz+zR3qJKILNZhM3btzY9Q+LBoAxeO+99yJiYi7ZfrD+4DdXMkKv\nS+Wd+XfMZ2yj4hgR+wWzVViIz4/xqZ41NFJExbUi9qML8NmxA8qGOBY/K2LNNquCOU4qW9usIhi8\nrc5t9+ynjISbv4cqn3NaHB0dxZdffrkTw2BxFnyna6hjZlTMh+euFg0GXJ9l87bqV4Dnkt7vwfAo\nsx6xL4nuIn8ytqoqmJ5FifE2KqrBNuZEObRdOjd1HKq13bFV+p2LcMK9Zu4a24xWo9FoNBqNRqPR\naBwYB5d3f15mS/ebk3el+1S/OQ/kyHFGmJnM6+VYtCxO2W3rvEKKkcKw6hWp5PBH8sN0n4vktYr4\num/hkapyMyq5WZX5zRgQPkeV+waPrfPCa4HKKkcL54JXF55hFFuN2C9qC68MPF8REzulxT9dXgC+\nU7l4BvpLPbbMVmXFZF2OHLxU8M65IqUaN61e3ojJK6dzitkU5+1aAs5zqLbm7Aftx/WrJ5t/A5Bn\niO9Zlh3jjOOoJ1ffM3i81VuOvsdc4NwUZZndfUWP59a+zMaqtU9tgu1BC9Vqfo+7LsCx17quIH+J\n7VHLM7jSCzjXF198sYj9ooyGFtmNmHIEcU26ZkVM16SMtWPUsY3miPL8x3hAht8VrNdC3k5aX3PH\ntNSGY9Qx/urd5+vRcXf5UmirSv+7QrFq+1XRZS2VETHZVlZo2DHsOkd5G2XRq2eDJeXdv/zyy93c\nYdZJ7zsV04x+cDnGmcy5ew7RPNSqLBDbS8TxgsW4l6PtWsSa1xaw7Vh3XLkTnBPXPvIMVT3fKmvm\n5OIBPZ7TCADUvl0eVcZa8fFGnlVHNBGObT9r60aj0Wg0Go1Go9FonIhZjFaWn4XfGGfFYFSsUKUI\nNJIrlLFpc4+TxU07T73CecG0fRVLNMKijajbZGpBVbvc56WLF2+32/jqq6+stzsrnOf6QfNBHNOj\nxXCdmpIeB140eH0jJg+ZesFcnLPmIzlVNC1YCA8w5+HAC6YMlMsv05ht9bzydaK/XdFcVZ9z3lj1\nvmreVaXOVjGT6ml0Y1Wtd2eN1Wpl1dSygpDcZzqWTolMvdzqlWVoH7l8BZ3nanO8P86l8fJ8POyn\n7XJrqHpcXYFnLbqpbF/ENHe0aKtT98PxqsKVOn44PucAIS9E1Uj5uMhx4jVC284s3FKqg9euXdvL\nT+O24bqxFjATrgXTwcgzu6Ssu+YaOc+/rk3cZ1gHVVnPzQFlF5z9AMqWMqOgBbjBplSKssp6uQK2\nVU6VFoLHqysQrs8IOKezKV2LKrvTtZmx1DMCng1cTrDaFj5zFIjas+ZzRewzOspo8bXrmoJ92cY0\nzxPnZBu7e/fusXYhTwx2xaqsH3zwwbH2uHGqoq0U2fOim5tqCy7yp9JLUFZZcy55HmfrtFNXrPQc\n9NyjaEar0Wg0Go1Go9FoNA6M/qPVaDQajUaj0Wg0GgfGwcQwstAyl0Q5Qs1lx3fU4UjoYFaM2P02\nAqXLK7n4keNoWyoZ+9Mmj2bXWYUOZsfg9lxkPHv2LB49erSX1BqxX6RRpWgj9vvKFazTIn8qC+3C\nX0D9g9ZnOl+T8DVkzx1bw504ZEul352QhIZhuVA6DTNTit6F3KB9Tmr9JBER/k5DdzR0jqHzhbfB\new0hczg6Olo0rKUKXUZYoOszhEJhnF1IJuZDlmw8t1jjSEi5rpkYC51/vE2VKK12p6G2fGwVKnDr\nmyaYOzEVtVkXbqJzEOFh+J6FRjDXUSBVx47PoYXQeRw4eX+JcNfVahVXr1614U4oD4BQZSdBjvHJ\nSjRE7BcZ15BqV6RXQ06rYtEuPDULXXJru25bFWLNinbze9wbtHgzj69KWiMcE/eZiH15b9cubZ8W\nQK7mJuDCsHSMlhK+cFitVlbyPGI/1M+FW6KvsS3SAFgER9dRHXcnOqG25orRoz8xzzik0YlTRUx2\nUNmGE60CquLTuk31bKhrsHvm0NBKdx/WkHiMkd4b+Zx6v+M1X0PZq+LNc3Hxn5QbjUaj0Wg0Go1G\n4xuGgxUsdttF1N6haj9FxVZVyJisEcGGKgmuOp7uP3Ldc85ZtXtEvCLb30ldZset2py1awl2YLvd\nxuPHj3dey0oivWI3NNG1Sg5WjyF7nrVAqRag5XZVHp9sW+dRhqdHvZTstXLt4OPxfvCiqme9Ki6a\nFYdmODvPxB+0+K0750ipA8AxY48fP17MZo+OjvZYyoj9MXAeZ2ViqutXz7PbxzFYuo3KuzsWNmMh\n3TnVVt02KseNOaXFQSNyWX9XVgEeacdw6NzGZ7ZrTaTHOcFUfPTRR7ttVTDj888/j4hJljxivzC4\nMlwRx/t7CUZrvV7HjRs3dmsNygVETCxdJrTAv2lBaL4WXD/GST3Z7MnXoqWO1dWyB64YdbaOOUYL\nUGEKx3aq4AGjWuOya9BoA7ZHXQ8qlkpfHUOhHn83rzMJb8cILMVyXbp0KW7dunWMTQQwhuh79CEz\nrHivxcbdM4YKnLji0zp2joVFX8O+79y5ExHHWSotsZCtt3xdGnlSjVPFhKJ9um0ltKbH4OPoM48T\nOlKRITfvMhGSKorLjedp19ZmtBqNRqPRaDQajUbjwJjNaLl49Yic2RnJXXLbnOaf44js+UnnP+n3\n6p+6bl9JU2Z5alWB4IohyzxSI4zWyLnm4Hnz3w6Nk65BY4bZA6QSz85Tr7kiI32uniQ3r9Sbwx7g\nrKix5k9xu7CNeuAi9ot+VkUJAc1x437TAtHwRvM1ZJLiVT6AXq9jokZyBzV2nq8NfXfz5s2S5Twr\nbLfbePLkiWVEtWgkxpK93ugbMDtOthqsTbZeuHh5vLpCvrpeqIc9Yt9DqNfnco5UTtvNTbUf51FW\nL7F647kPVNKat1Fm1hUV1cK6WjAUcu0R07xTTzKzchg/nQsuj4K3O0+s1+t44YUXdtfD64+WA4BM\nPTNyrhxAxPG+R7/Cew9vPvJTnK1pH/E2yog61vSkHC0uVJ1JwFfssFsDlSHS+cJ9qxECrhSIHtfN\npSyXypWmAXQOzWUtHLN5nkCRbfQn51a59SvCl03BfsizZoZMC6ajX9x9Vs+pLJP77t69exFxPO8z\ny+nXeycD58b8dbLzlRy7Phtk+WZ6bEZlsy7iBm3VkjRzIufcs321zZwoGUYzWo1Go9FoNBqNRqNx\nYK576U8AACAASURBVDxXjtZctgoYYb1O8690hMkaYaK0nS52NGOkTvpN25Ghypdy+44wbRnr5VD1\n6WmwRN4AzrvZbOx1qGfPeeFcPLtuox4j7d9KxbAaC/X4VcpUmrfhiiayBznieB6IKnABmdc8Yt+r\ny15ZePfUU82efy0wi9+q/MnKHjN2ZoT55Tn11ltvRcTXXsJ///d/T893Vthut/H06dM91jNi6jNl\nPV08unqpue/UG+2KvgLqnXRqTNrnmhMVMdmfenPhpWR2QBWkcN2OrQI0by1ivxi2zmPHJFRRAVpA\nWz/zdak316kiqlIp+o2vTfM5XSFrZtyXYLRWq1VcuXLF5vOhPZrfyu3UAtqwCfbUY73Cd5qLwf2q\n+aPKJPA5tV95vFWdVMfbRSJkeY/8Xtkpbhf213M4FTrtS7eGZgqAvM1J6oAuGsflsAC6RuCzi0BY\nKkcLNot7Hiv/Ys5h/XHrB5gssM+wOe4PfS5ThqyKjHGMOFgcFCUGo8WsF46p53Ysr7KlOL4D9qui\nXhSOEdX9XP6e3pcwF7h9YLZ1jNy803PNeQZ2z/Zz19hmtBqNRqPRaDQajUbjwJjFaIHNqtimEUZq\nhNHSf6MjjEj1DzQ7rmvPnDyp6hr0+HNy0ZyXR/9NjzCKI8yWO8ZpY1EzsN2cN1arla2bpB4Q51lB\nP2Sx8LxN5uWoPHYuL0zbA0+SY7TgedN93HWiD+D9cnVs4EmuVLEAXK+yDnwutBPePj6nsnCOncn6\nzuVTqPKiO562Ha/c9jfffDMiIr7zne8cY1nOC2BhncqTsqS4Rm6nsl4A24+Ob8VE6ZrpPJrK1lSK\nm8qeweY4/l5V3dRrGbHvQXbeU/WoK4PE3me1KcfyZfcllxOp1+3uQcokq6JnxDQ/ziqn9lDIojB0\nLKEO6LZXdpPtWhVRqzxNtUNnj8pgVdEgaguVV1/ZoWqNcjl+WZurOnZ6vY4dcHUFFXoPrGytyrHK\nmCxu19J1OJFXiPpuPAaoa6dzjqNCdE3RnDqcI8Kz0Px9xH6dM7wyq4uadGC0MJdc3p6OIc7tlHo1\nGsBFP2jebHVf1fuLi1JRu+S+UJYZ6yT3heZmVWxVFpHk2MdM9dmdYxTNaDUajUaj0Wg0Go3GgdF/\ntBqNRqPRaDQajUbjwDiYGIbbLtumSjbOimzOSUKrQhFHQqFOIxoxcg1uv5OutzrOXPoy234k5HJO\nu9z2S8m7Hx0dxWeffbZLnIQUcMQU8lAl9aoctAu70LDCEeEMbl/EcTpfwwHx2SXIYz9tnyuyWomq\n6HhriIxeBwO0vob2REwJxk7MQIUKXKjWSXbowtdGwuA0WZ7tArLRN27cWCS8ZbVaxeXLl21ytYY1\naPhdxH4RVRyHE6azUFMXFqIhR67AZyYD7Ypj4jgaFuiuQUOrnAQ8XlVKmYHr0WKybs6rbbnQTbw6\nAQ4VfcD1qcR8xBQyiPZU5QS0+CmD7yNLhA/CZt0cxrVlBYIZOs58HCcmwuD1ScORdPz5/HoPHhG/\ncqIReh8ZSbGoCgKrUIY7p7bZ9dGc5xmFO2cmnOH6QkMlGVUR4/PAarWKF154Ybf2c9FfrEWffPJJ\nREzCFxw6CPupwsv1/qy2z3NAhVawNrBoFUIGcY/StSVifw3X5wgXOqhzgI+nJRvcvTcLu6vGtgqJ\n1XVai5PzdWoYYNU+FS7jtVTHqgr9rcJvHZrRajQajUaj0Wg0Go0D48wYrWzfURxKjEHbWiXKZa9O\nJKKSkB5hoDKvkvOiZrKs7hrmyGGP9G01DpmYhuuvJbFer628alW0FsgYKCeNC1Ty7iMJtPC2qIfe\neV90f+ft1gTzEUEYlxSr14n+wnFZepWTcyMmGXr2CGoh3ar46wgy75ybSyqOwp4yeBIvX768CDuw\n3X5dsNgxrVmRUOdNVnbACQEoXNJ65p107MtIIWn13KrMP7/Xbfic6Av1TnJ/Kcuphb4di1b1rdpU\nxc5oMjvmhytSqqwhX6cygbg+nkvMoi2x5qL4qybMR0zrg4rwMLuUsYhuLPWepPLxETlT68Q1lPmu\nirUrE+WK02pEgjsOzg2bqEQidDxd0W69/1dF39Vj786h+1QlSqoCyPoM5Zg7d886D2w2m7hx48au\nbSy0gPHBveCjjz6KCD93tQwH25iySCqCwnNAixGDaQN7FTGJX6Ct2HYkCsSVMsF16lrqZOd1LKvn\nvKxMAJ9f7wfuvq/buugCfabSOcHv1ebcvbWyRyeiMYJmtBqNRqPRaDQajUbjwJjNaK3Xa8tyVFLh\nuk3lccsYlEqmfOT7ig3S7yqZSP03fyhZXfXOjeSSuX/szxOPPdKubxquXLkSb7/9djx48CAijnsi\nsjw55zEEHHOY2WrFVqnn33lWdNvqOHo853nT2G/25mtct+sLlYfV3DFmsRBXjnZ9/vnnETEVd4zY\nL8zppOmBkfnl8h30eDp34FF23udLly4tJpfNc5s99cqkOGg+gGMZ1LtZ5WKqzbs1T1lYzYHj7ZWd\ncjH6riCsftY8B83147ajXVpIm5lMeIlVNtgV23ReWG2XMolOElxzBlyOk3pqcXwnwbxUvst6vY4r\nV66UuVAVwwqox5jXPL2noc8wpry2ZAWBXU4MUDHIWQFeZrSQx6PrNcufK7OB9YfzcPA+yx1zzy5V\nweEsf8s9P2TbjJQUqOyxYiSWstnNZhOvvPKKZScwBrAXV0D7iy++iIjYPVtg/B2zl+UPsz1qgWK8\ngsXiduDVFbzO5plj0XAcZWh5TKq80QyVFLz+5u5Buu673MOTbNTZo7N9hc6XlndvNBqNRqPRaDQa\njQuI2QWL1+u1/Td4kqLdoeDykkaUBecwWiPnn6MsOEfVT3/nc7lihNqu0/zjPkuv/dJMmNqsY6sq\nLyqgCjfOY5ipMLnioyOxwlnOIF+Hy9eIOJ4vhYKMr732WkTsFzuM2Ffjc3lh+A2eO8274uuERxCM\nwbvvvnvsuPo+Yuo/x4JkqoiObciUuPi9ngvXFBHx2WefRcTXMfJL2q+zNc0tG1F3cgyIeusqr6We\nC33G4wdPKF6rNS9TlnNtUKVDvk5cFzy/sEdXhFLnP8YYrxGxpz6G43LORcZ+s40pM4t+YsZFofcV\nl3Oh/eVy2o6OjhbLK3Sqf/y+UnfN7Jg/Y33BOGPsPv30071tNf/KQRVfXf6Frtf47BTcAM1Bc4wW\n1Ozu378fERMrx9tgTVIFNndNrmgwoH3rFHRPuodV97sqty1rC++X5YueNa5cuRJvvPHGbgy4bbqO\n4R7K6rSwATBasEtXGD6LCmDouqi51fxdpuTJx9ZXx2hlhbd5LmfMkxvvjOnn61WWaySKC/u4tUNt\n1hXmzthTp4qLuVTlY81lYZvRajQajUaj0Wg0Go0Do/9oNRqNRqPRaDQajcaBcXB590oUY0T2/KTf\nHIVdIUuQGwkdnCN/Xv02EjpYhRlmEpfV8eaEPFWJrtnnav+RMT8vPHr0KH7+85/vwuQQAoDfIuqk\nyhHZ0qxY34gYhsq0829KgXN4CMJKVJgCIYPf+ta3dtt+5zvfiYiI119/PSKmcD4XloPjuLBHnEtD\nBl0xR4Q0IIQQ+3KoFkIuXD8BGmaQJcnytjpGI6I9HAL08ccfR8TXsrpzCxMeAs+ePYvHjx/bELEs\nfKPqO8AdR0MgKkl8DcXkcCckhuN4LnRLQwerJH+cA7aGbfk6M5EJV9RYw7gQxoewMz4XfoOsMssr\nY+5oqJ8Lo0FbMT+w3rhC4dW9QkPRtHCoXt8Say4/F0T4EH+MKcbHhUvr/ORt0H9YQ957772ImMaL\nhU20iKwWbY3YX0OdTLyGhup6y1DhBA1FYuDcH3zwwd45sS5iTHHvwprO4WtZKQIn1lSts7oOZAIa\n/F7HyoVhVSFzTrzmPHH58uW4d+/e3n0sYhoPLQtTlaBw4idZioALOdU1uSp7oaIYvI0KY1XPZxoe\np6Gy3C4tZcFiWllhebc+6vpUlRuoQv2ycjNV+oz28YgoxpxUqQzNaDUajUaj0Wg0Go3GgTFbDGOz\n2dh/gxmTUslgV9/PYaJG2JZKDCP7BzxSmK26hqrtGSr2S73ZIwzZWSbzXxTBjQqPHz+Od955J773\nve9FhJdBzbyCEfuyrK5fdT/1KLHnRYsQV/LuyrZwki287zg3vExgkN58883dtm+88UZETJ557MMe\nPE3kdSIbuo2+cr851iziuBcMnmhl8FxRy5E5gONkzAnvrwIM7FXlJOclGK3tdhtPnz61cvcZq+28\nbioZ7jzOmciIE3eAvYBR+PDDD/fOBfljl6SdFZRW73fEvuiHY7SybZxMPACBC7TBFf0FowC7Zg81\nhDLAmLjr1GNnEs+8rTJkDLVZLVbK1zwiSHBWWK/Xe6xyxP51Y9wqmXvHLqn9QcQAx2MBIKwzOhbO\nI15FDigbV4lOaNkCZ9fKSuK4EMeImEphYFus6a5vszIPlRiJs0N9lsrEMfh99VxTiUcBc0Q0zgKX\nL1+Ob3/727v++PWvf737DWuAzm9X7qRaO7XUg97rqkLVAK9nsGst/s1Q1t4VQQf0+cOJc2E/x8hr\nu7SkiLunq/iJY7S0XfiNn4H0mbKSbs9K7rj7iR7HsXFznwua0Wo0Go1Go9FoNBqNA+NUBYurHCH1\n0DEOkVPlGLLTMFqVh0aPN8LKVdu4686k6efkqx0aFVtYnXuOTOdSGMnNw6vzaOK3Kp5cmd6KIVPW\ny+UealFMZqCwPzxJiNvHK3vyNYfKXSfYKmXa8H3ElJOjMto4Dl+DSjA7D5DmMFQy9oB6D0ds1hXJ\nxP7oJ87DgVfuwYMHixTTREkCJ0+fFQJlKAPi5qVKvuv8ZtuA/SEPC3lN+ByRyw279um67eR4cZ1V\nsV+V2gYci4ZXZWWZMVG7dnNT2ROXI6EMomO2FZWdqVcXjBbnYcJ+N5vNhVh/2Z40J8jNSy0srfmg\nEZOHHmsK1jWwi8xowQZgGxhvthXYlK7TVZFkZcGcPeLcjtFCm3EtWFN5vsGWlI3Dtmzfyla4ua7t\ncHZ4Ug6suz9V+TPo24oBOG3x10Nhs9nEzZs3d+VOmKHH+FS5asqgO6Ywe0at1kVd43lflWjH5+oZ\nI8vDdXDPN8rUYW5yHiTaAaZN7bEqw6LsLrcd27qcNrVDzUnj68wKj7u1vVqLT5tX2IxWo9FoNBqN\nRqPRaBwYz8VoOY/UaVgr91vFQHFbTto289iOKJy4bTNvrPNQ6Dmr2NERBa6MMTkLaDvmMFvuu6W8\nVuv1Oq5evWrHOCs67byx6u10RRbVo+LigFV1sIorVqUs9urAowKPuuaeQM0qIuJXv/pVREweUd03\nYvKiqjeePcrIHdA8LlcAUxkXtI89//hOPXBVfoEe33kPHRMEqF3DM4hizhFTHs7Dhw8XsVvkwrrY\ndZffEuEL3FZw/cfHd2wnGCxXeFftx6m8AY7B0mvIcumc8ibH7fO+Efu5PsrYMvOLvtA8IVbKBDSn\niNcD7YuK8deCzJpnyN8py8PMBpTpeE6fJ8DCquoYfosYU/qCvagCZMQ+o6qMFs8T7IdXHNcpb2bt\njNhfnzVflu1RVUI1Z4vbgZwsZcgi9tlbnAt5Q3wNquSY3dMYVXSBPlO5MRvJ0VJbdxEIerzzxmq1\nisuXL++YUNyPIqb8P4x3pSOg7IbLm1JFVNcPmhftng2yfHJun45ZFfmlz69OXRFt1nbxuqv5aspo\nujwnbU+VQ1bZtXvOivD3TX1WcWqaI+vU3KiBZrQajUaj0Wg0Go1G48CYzWhF1Kp3Cscc6efKy1H9\nc8/OXXkf5qjojHiz3T9t/Wfu6hmcxKZUjNtpvUxzMNLvipGcufMGFNwqL54yINx36skE3PGUmcE+\n7PWEV0jjpyvFHWzLHht4cRETDQ8U+p5rHL3//vsRMXnpcC725sOrp2pGzEioipH2DZ8TgKcdLBGf\nE9eFtrv+0rmk+WXOE5ztE5HbKCu4QeXr8uXLi9R42W63sd1uh+q6OZyUb8G/qQfb1ZSBJx3jDzvk\nGH0wKTiO1r9y51L2g/ta8x6cCqa2yynCqfIi7A/tZXtUu4bHFkxuxFRjDe2BrfBxYM+aR+HqFynz\nh36vPLeq9hkxzZ3r168vtv5eunSpVGWt1F21z11eKt7DtvCKdeejjz7aa5Oyr2yz6r1Xm+Nzgk2D\nzYFVY3tUFlZrHUVMNoE+QHucaqWudTg3z2v8pjWXeC7pmuHsI6u5NOfZzEX1jLACLjrkPIE+Y0YL\n32ldSYcqqgnInj+dqqausy7nFHB13TAvYBuaj+oibJTpcQq1GlVQReroeusYbu03FxHjlIMB7VNd\nX+fmXyncOStbr9CMVqPRaDQajUaj0WgcGP1Hq9FoNBqNRqPRaDQOjOcKHXQJboALYdNtqtCYEWGK\nLKytohmrc54m7K4SuNBXpvNPojArOVUn03pWSftzxS8uGrbbbRwdHQ2JTrhtnOQvjgtkBSFBozOt\nrwIHTmpdw6RA/fM5EU6gUsIujAHhKZCA1mR/brMKZnBog4ZPargZ9xvOidBBLRzLbdSwR9euLBxw\nrt1nkuIcYoTfbt68uUjoYMTXfVmV0dAQhqofVLiBj6PHg61xfyBkCSEplZiK2j63S2WmqzVQ26Nh\nMBH70tjVvUNlkVVCm/dTwRsXvoY+gZ1zaEx2X1IRmYj9/nIhl5lUfib7v5TwUIQvDJyJBrj2qxiG\n63u1CYyFKy+BkD+e0wBKYWgRap4nWpwbx3NF2jUUtkoZwNxByDavj9hewyhV5p3Pr+U+WMxA7cGF\nY50k2e4EXPR+58LDsnPzNkuJYUR83T5cI4+Bm/sR/plXQ2O574GsEDcfH7aF75yYCqDlWNgmdH7g\nN13HeRsV2nHn1PA7N381dNCJ46hNufVK709umyzc1bVPbcwJE53m/jSKZrQajUaj0Wg0Go1G48CY\nzWghUVuhnvQ5TI9jb0bbwvu7f6nAiCT6oTyBmTCFk+nMPjtW5dCCF3NQ9e2c/ZfAarWyXo6sQGAl\nPuCSKrMCsZrIz+8rFg3baPIqJ8WqN1A9SjxOSPKFx1Ylivm9yl9zu1TeFVCBAf5O5b6deIUWu2UG\nsPKIjsJ5nfGKfuNilZB6v3v37qKsrYscQJ9pQjL3i0rZjpQiUO8nC0DAEwq48XaFM93niIktU4aH\nGVNlQF0BbZW6dwIXgI4j2uuksjURm69T2QW0x8nE6zqgEvN8DcpsOc+/Ch64NaMqinyWWK1WsVqt\ndv1TFdIGnLSylrJwfQVoP/C2aAfsWYVEIqaxwzm13EREzmC5chWwE6zTGC8nGoPvnHiFsvhatJWv\nIXumGnnOqZ6TKui91EV9ZAVrHYu21BqLkgQj6xlenex5JvbC++ka5xhbtTFX7BliPICuQ3wuvKqg\nC0oLREyMrdo53zNciY4Iv+bpOuaEgDIGir/Pii2PCMq5/yD6XWVzVbmf06IZrUaj0Wg0Go1Go9E4\nMGYzWhkrozGVlcxrlS91GlSF2ZaO/42oi9IqKq/IRcBc79MS7BtjtVrFpUuXdh4NJx2u7BJvo6yU\n5ilF7MdkV1Ki2Rxw3mmVq3aSvZnUelVuwOX1aD6ZFlR251RZbvZwwTtYMVDK2OB4rhBiJqE7lw3P\nvIWQvo+YpJuR03begM06dkC9qFooMmIaO5WSrtYRzYHiHC38Bi++5gU6OEZD51LG+ETse/qd1xzt\nUBltly+l+1fSyTp/new8vMQoDM5eX+T+qOS9Y5v0nqWMK/dFVr6A23p0dLTIWovir2A/q1wc1x9q\nG1kR0oh9Jlzz7/ic2B/tYnYW7+Hhd8WeXa5hhJcEx3u1Ryfvju8ca6E5bTqPmb3I5rRb/3Uc5kQH\nzF1nleWp8k2Xjnap8oh0rXJ5aPrKY5kxWFhfmdHCGqJMJtimiMlmcVzXdmU+8YrjcAF2lETAb45R\n13UVr1wSRaFj6xitLLedt8miudy5lIV09l1F3M15tu2CxY1Go9FoNBqNRqOxMGYzWqvVysbWZv/u\nGc+j7jeCpdmTDBe1XecBvvalPK3r9XrnwWBvIDyFmh/gcqrUnl2uV8YyuXw7ZdHYm6+5A+pJitj3\nECpT4+KnlSHj68S5tA+caqjmt6jnNWKf0cK2TlFQ2SrHSOu2lfJppW6m7Bk+s2oTvHyvv/76Imwy\nGC2nDqaePbdNFifvFAABzdHieYJjq/qds41sDBiaH6YsKp9DbZ/ngBYGVi80n0NtV3NIeD9lnpix\nfumll46dy3mmNT9Rx8oxbpqbVBV/dWpb3JdL3Wc2m81QYVC3LqrNuvVHr1s961Dw42NjHQLbxOyA\neu8di4bjwMZwLhSqhj3wubCN5tTxuXA8pwiq67TmuXCfaASDe/5CO/Q+xXaoLArgbE3vNW7fkYKu\nFbtwHthuvy4K7/Kv9H5VKdnpesGftfA21gu88jqLc+m6xmw5crTAwmJsmV1StWJVJuT8W83Ncnm9\nWUSM64vMfqr/CnPgnqW0Xe53dw90+5wE99wxgma0Go1Go9FoNBqNRuPA6D9ajUaj0Wg0Go1Go3Fg\nzAodROLgSIGxxh8vXJjB0uEBCMfgEB8N29CwFUaV8KoJnxpK4EJ8NPG+KmoMOFEETZ7XsAPeD2EG\nrtgm+kVDrXg+a1J+lpSubeXPVb+5fTXEEudw7ctCB1zInBZJ5tBBCBzcv3/f2sJZY7vdxtOnT630\ns8KVEADUNiqBHS2gyeFLbEsRvtCohn+68CTdVsPFnAgNzg05bG6LFv/UcENuq/aFE8fJQlH4eCpm\ngM98HPQhrgEhbSiMy9eg61IVqqXCMFlJiKVCtDl00MmVK6rC8COlNlSExyXnYw7hNw7107XOycTj\nOw1ThOAJn1PDAnWt4e90DvDapXLaGoruQomxTxW6m4licBu1fXPSHlyRag1XdOO55DNjFk6NMcS4\nwybcnAPcWqxh0SpU4cLbsNbBVtnGEPan4hX8XIOwRGyrohgsNqWlBNw9J7ONKsRfi3a7wvCnGXcn\n8qKiZlX5qZHnULXVSlhmFM1oNRqNRqPRaDQajcaBMVsM49KlS6cuNPzHLArxTcecf/AVg3PeePbs\n2TFvj5MAVoyUJHC2n3nNnYc0KzTM36lssRN+UFYJ3qcqMVkLakZMXjOcG154V2BSGS1swzLGKnmv\n1x+xX5TUeb8yWXegYtGcR0rbjnPzmKN48TvvvGPl/M8aEMNwLJV6E52Yitq1824rm4g5gs+uEKue\n20l4V+yb2osyUny9mkQNmx2Zv2wTKnpSFRNXW3CsikoHQ2SB5696mzHPdJ1wcExttvYwU8TlGZZY\na9fr9THPu0uUz9ZSfl/JOWdCNq4/dY0DO+Dmc1YyIWJfmEKPz9egJTJwXCfvrowJr11gHJTpdfNE\nxZpciQyMBZiSqoisE2zR9mVrsZuPVbmfar/zhDu/josTxcoiKJz9ONaezxMxjQ/uvbARXovfeuut\niJhsClLtXI4DAhtojzJZPAdwDZmwELdR7ZntWstwqPw8QxlVF+2i7FRlN3pfcvtka5Abez33nDII\nGZrRajQajUaj0Wg0Go0D47lytFy+xUiu1h8So1XJTOt1OjnkkTjls5bFPzSquPrzxna7jUePHu08\nSU7CFXASoCO5Azp26rnnmPtMEtblu8BjpHLR/F49Ufjs8gKynChuq8qy8zk1D0A99SNMoPMQ6xxw\nhZkzlqbytLrjqafWFWYGI/HrX/96EUbr2rVr8ZOf/CT++7//OyKOy/ECuA54L7M8mIhpTB2bqDmC\n6MOXX355b3+dH9zf6gl38z7LA4An1+Vo6b4Mzb9xHmCXj8Kf3VxQltDJzutx+JxguTBu8DaDVWFP\nsOaFVkWNFY5NOTo6WoTR2mw28fLLL+/6h9c8zY9wzw+ai+nyOFxuSIQvoIrvVOqaczGVSVdWiNuq\nuVA4Hl+D5tYqWxAx2ShsAfOMpek1F0/zACuJa83v4uNon7qcKh0bl9+Z5Q5X5R4qpnZJRgvlXyKO\nF59GsXp8B7txc0tZWBedomsJtuWoEs37dH2G3EDsh30g+85w97YIz0iqrTlGS59HuO1AlZ+uGMk9\nViawktfX8gxuLa2k+HV9qhjauc+1zWg1Go1Go9FoNBqNxoExm9FyKlIR+/GWzmuyVJ6OQ1VQWeHY\nKr1OV5BNvUQjRc5G2IHT5sg9DyqmUn87z3adhO12u2O1Io6zA/Aian6TK2Kq+QDOm6/sUhXjmzFb\nfGzN0XKeUY1vdiqGeg7k43DxTvW4Oe8xx/07cP5MFuPv5pJu41Tj1Burqou8v+aSsecN7zOmkvd/\n99130xyNs8SLL74Y//AP/7AbnwcPHux+0xwhlwuHsVfvtGMQMO7qCWfWRXO03PEUTp1JGUZVM+TP\nyjRV67XapfPGZu1j+9F7mOY4ROx7+iuPf6bEyH2NY+uYVXl1jhHCcVar1WI5Wjdu3NiNoVN3Bap7\nnO5T5XEpi8o2grmDfMv79+9HxPECsZm6q4sc0HY6rznWiuqepzmQmpfD76FSqXm3PE90HjvlNbVV\nZ/sjeS7ACBOlv1XPSUsD/cBj8Oabb0ZExKeffhoRUy4U3w+0b1y+tebXVaxilo/sbEwLcrOaZhYt\nhXsfR2koU6TPHPzesV3aRqxj+pzkipPrPYLtQe26yuPV3EgXhTKSJ+qKK+s21XcVmtFqNBqNRqPR\naDQajQOj/2g1Go1Go9FoNBqNxoExO3TQFYyM2A+7cJThRaCKq6RMRRXKVIUOnnTuavtKaERDJ0au\n4TxwEcY1w2q1isuXL+8oZw4DQhiJJp/q/hH7tlAJwVTQ8cVY8rxSsQCl/rk9SNLV0COGbuMKM2d0\nuRPpQDv0ODxPNKxHw310e/7sZMPdOVy73W8cXqehg7AHF6r18OHDRQoWX7lyJd56661d+Mo777yz\n+w1jqSGUGoYXMSaRC1TyzhoyyGFquo3eB0ZC4FwoU1YewB0HcKF+en4N2eUwEw3jQ/gZh8GpR8lI\niQAAIABJREFUaEzV/7gGhCThsyt6qv3m+r8Sk6hC9c4D6/U6XnzxxV0IE4doayilW1tGwlF1G/Qn\nPr/77ru7bREyiFcX9qyhrE5mOrvf49wcsqVhYjgun1tD0bEt2hkxCRsgrBAiHwgldLLaGpbKfcvb\nM5yNjYiaubC3bNtMwOSk/c4TLlz39u3bERFx7969iIj43e9+FxFTMfuI/J7EyELW3Dqb3etc6CBe\ncRxXrFvXFqxRrqSFhtvx+qvy7i7s7iThDT5+Vvi4CkmsQnU17aEq+q6oShy4fbJw45PQjFaj0Wg0\nGo1Go9FoHBinEsMYKeToEvsqtuu84Ly7mdfKeVorudJsG/0+24/bxb8rg+W2Oa8+HWHRlhbAYKAk\ngfNSwNMICVdns5nMtPPUKyPjCvBm+zuhC/Wws/eFPWt8DSrswe/VG8/Hg/cU+0OSmuWQ4ZmHxGwm\npMDHRh989NFHEXFcgEPlbOEd5qRk7dMR21LPFLMNKj+NPnaMxO9///vFpLJv3boVb7zxRkRMYxMx\nCWPomuAS5FWCmq9FvbAY90oSV+2Qx0ITnJ0nG3aIca9kh3VNduOva6jzzlYMVsRxoRFlsGD73Lff\n+ta3IuL4mGi7VKhE5ec5WV7XdCcikknKZ2UjKlborAAxDMiVu8R2wJWZyKSV3XF0TLFWvf/++7tt\nwW4pA8zsjvarKzCMMURbMT6vvfZaREyMR8Q0HmgPjsPjjd9gE7iW9957b7cNBBjAbIFNAaPFpRdU\nwElFMXg/XJ8rAZLJVlfPNxV0/BxbsTSTtVqt0ucZfI97EvqQmUddS9xzscq7q+ACbws7QaSNE2rK\nROfc84NKwANsG9hPI0/mPKtG7Jd+GRH9cGudnhOvbv1WOfcRsTht3wjr5aKXmtFqNBqNRqPRaDQa\njYVxMEZLvffOo3kRGC2HES+O/lYxW9n+c7apGDfnCchigQ+NSu612ma1Wi3GdG23W1tUEV4YvMJL\n7SSfsZ/Kn/P26jF0eSrq7dZt+ZxoFzxc8IZGTN53xJK/+uqrERHx1ltvRcRxryfaDE8Xjs/Hg8cO\nbBKOz4UQ4Rl75ZVXjh2XJZMBeJLhnQUDx3kUOB4YMsDFh4/IBetv2Jf7FiwPWAvNmYiYxmiJ/Cy0\n5dq1a7sxRfHMiElmuJrv2dri8uO0qKp6xnkbldGtYtgd66U5fsqiukKxythVERKutIH2E+wS9s3M\nMK5ZZbTBXkRMDAYYZMcWZnkYI1Eebp1SNsWBx22JdXaz2cT169d36wizgFnuRFV4t/JKK2OL7zlP\nDUwlvsNaw7ksXKA2YlqH7t69u/sO66jKc3/3u9+NiIhvf/vbu23VtnBOztFC7prm3/DYoh1g6H71\nq19FxJSryfMbbcWarDkt/F5zbeawFo5tziKB3DYVloyAWa/XZV48xlAjRiKm+55KrjODqZETOhZs\n35pD7Z4NtD/dPFFbrZ5vR9gq3V9l1fX8J51T2U23rmXroetbvU+761ZbrUpMVCUOTmurzWg1Go1G\no9FoNBqNxoExm9G6fPmy9WRqwTPn+XfxnxcJI4WBM4+C8xLov+eR4wDOkzdHPew8kHkAHJZitLbb\nbZqzoN4meKucxzkbU93+pM/KIHA7AbQHcwifkecUMXlN1TMGzxsU67jt8DajPzg/BayJ5mjxOdF2\neFzRPniN2WbBFIDRgreXc76cyiC3j99rbLVjq9S+HHMOLyRenXfXKSSeN9br9a6f4a2OmPI11Jvn\nvIvK7DFjhHHOCrAyK4TjwFPq8vdgj3jFPtx2LcCqxTbZWwygfVo0k/fHd2g7M6yazwO7/OSTTyLi\neL/heGAxwBa//fbbe9cA29K56s6p67bz7qo9O7VPvWew7bMdLMUQXLp0add3zBxhfVDVwLm5ZLoG\nwB41j4N/gy3Atpg9R74d7Afjje8jJoZfGVpEDvzJn/zJblusp7AtMLY8T7CmoD2wH6yTfD2s3Bgx\nzS1mm9HPaLPmlPHxqnxHYOQZ7TQ5Wm7fKn9rCTgGBP2J8eL1B+sgxsOxLlnBXfQzj5Pey13ecJWn\nDyjjpCwnn1OVg10kQqZIzNep9w8d2xGtBpcv51RYM8yJ8hhh1R1Oa7MXw8IbjUaj0Wg0Go1G4w8I\np2K0nCdEFZVUeQ37R1y8XC31EmQKSBH7OR1VTtVJrFX1m/t3P6KqcmjotVQ5WhdJbVBRjSW8nvAO\njtTwceykqvtVOVraVy4fCHMKLBUrnYFxUAVBeEGRyxMxzUkcB55b9hLhN5zT1fDA9aAdqorILAi8\nfcpscd0ZqOrhO9fvaLvW8NA2OSgTw21Gf8FTeVp1rbPCdrvded9Z2eznP/95RExecscKOC9ixHE7\nxDir6hS2cXl3GAv0i/NowquPdrHNqvoVfgOb6nLz0E5sy+Ov9eYwzmzXmu+I46EtzF7ADtHvYGdY\nBVP7C9fNtqI5G4Cb+1nerWO0dJ1lu8Z4HR0dLboOo6+4z6DUlim48m8j+dLqsXfeblc3MeK4PcLu\nsB5Wqn4ZG+dYXbDOGB9uA9gu2B/2/9nPfrbbBv2F/FhEFeCcjpXDd5qvGDGtcRVDn7GvqiLK70dY\ni2oNrViZ88KzZ89sHppGTmgtPN5ec1bdmqwMljun1oVyOVojNajU9jM2jduqeWpVbqRTDXV1rhiu\nZhvW4soOXASRwtXlOwnuXCM5bSN27dCMVqPRaDQajUaj0WgcGP1Hq9FoNBqNRqPRaDQOjNmhg5yw\n7MLbNLTCFWdUunPp0MGMlqxC4s66KGRWSG8pzAl7zOTdl4QrFIwxRLI2bJvDXrLEbT6O2nEWfhGx\nX8TS0eZaSBmCApxgjhAU/IbwMoS/4PeISR74t7/9bUREfOc739k7J2SKcRxHkSM8ACEyCFO8f/9+\nRPgQPS5QHHFcpAOy2RoW6GxfJa5dSEuWqMqhOxpu5OSVL0JyNgrARkyJ9xFTuBPCikbEE1zICK43\nC5d1/YHjoV0sj62iIq4QNPoe4YUIiVLJY24X5iKHxrk28jZctkBDRdEGHB/zJWIKHcSrys9zG7UY\nsSuSrEVKtdgof5eFrTMqMQmEL40kjZ8lYBMcfqdhlm4tzsKu3PXomuCK9OJ4GH+EUrOcv0rRwzZY\nhEKfY3AchPxx+7Dm/uIXv4iI6b7CIdWwUS2ngDU0YrJfzCXcM15//fWIiPizP/uz3bYIv4YdOult\nFVWowv81DKsK56pw0jPVRcB2u00FEzRFBKGZ/GwAW9C1xYVU6xoM2+c1WdcqjBuH2+t+GuLozpmt\nQw4uRUTFNCo5/ErU5yS4sXBCTsBJIYNVKGslaqFrsAu57dDBRqPRaDQajUaj0VgYsxmtK1eu2H9z\n6pV0CZIj/yYbX+MieX4iPLuXCYKMCIOcJ1arlWVo1COiXv6IyRukDFTlaa2kSdW76Dy5KgGsydr8\nHudAcds//dM/jYjjxTvhaf3Nb34TEZPHlQFGC8fBdbOoBgBPvybysxdbxTXAXrH4QFb01XmotC+d\nvHsmsuM8jLqNE+1Zkmnfbre7a+SiqJCTRsI92CFOTM6EFZjZUyZPxYtcJIIKpbAtq9cTnvvKYwi2\nU4UqIiYb0zIGTjRG7cfJfOPY8EjD9rh9YBlwbmxb3cOcHWofqIQyb6vsVFagm6/Pec6dd3kJoO+w\nZkVM66kKh3A71WvsPP5gdjBOsBsthM3twHHAAP/Xf/3XbhuITmCcnUw8gLZiPYS4j5PK1rHk69Ri\nstiG246+A5OBNRNrO4vjoE9wDsds6tx2BbCzqJQRWxopX1PhrKODngewLcfUZkINrjxJJrHO9qN2\nAzvndVHFWSoGPBN1cAyNPt8w9BwVM+aiExQ6/934qzgT+qASCar6Qs89wmTp9+6co+h/Oo1Go9Fo\nNBqNRqNxYMxitNbr9TGJXv4nqv9k8c+bY9dV3raS1fymwXlwLhor9TwYydG6iGO3Wq1is9lY7wls\nFXkvf/3Xfx0RE6sTMeU3/c///E96jizPwsm7a26Qy5/JWGGOD1cPDzy4eAWDFDHlcSFHCwwX5ysg\nR+Cdd9451j72moNFQ64A4tbhgeWcnXffffdYmzWnhdte5RJlXrkROXYtFsnn0H2cJPiS9sx2yuzA\n97///YiY7BGMFveTXqOT4828784Ln+Uccl4XvO9aZNsVToX3HvcSd86sOK3LM1M74nmi9yOVTObj\naXFSLdeg2/Nx2H5Uultlm9lDrccbkTF2OVq8Bi1x30HUAOY3S5CDBUDukWMlNR/J2YTm1+E3jBdL\nt2shaax5XLYArDDsCO3inCqNYND1h+cA7A7XjnFmJlmL0bq2a66wRgPwOZWdqMrN6DU5FlTzZN3x\n9LmtYr8uclkY2Kxb57UIOsaE86VUSt/lGGs0gBZVZ1uDjfE9MuJ4dApsKcsL52PqGuzGQtl37Ouk\n2ytGKyuJhOvOiqvzby46BRh5vh4ZhyqSZSQ/sWpPhWa0Go1Go9FoNBqNRuPAmM1o6b9tAP8M8Q8W\nr+xNzmLpLyqj5bzn2T/ZkXyzylM/oty3BOaoDV5UbLfbnVeIWZe33347IiL+4i/+IiIi/uqv/ioi\njns5oECF/ZAzwkxPpSQU4QsOctsUmqOlc4p/w/7wXkHJja8TnlB4SOH54fwrsFvwbGmRQz4/mC1l\nC7hPsD/OqapYDiNqWPq9U0dCOzDm3K5sf8e8LJVDqqwERxHAZqE2Bq+88y4CWmg4Yr/YtO5bqY05\npUbYgDISvP6rMq3mILh5kkVB8G/KUnG+i84l9eq6a1Dl3LlQlkuZVT7unDVUi4K6vLzNZrNYPuxq\ntdqdm3NZwPCANYfNuULuOqZsy6oUqbmCzPQoY4QcLWaXcC5lz5yCpJ5L7Zy/w7WDpeLjYS4qe8pj\npswG+s+tocr8OpW209iDzjdX5LbKzdbjuCiBpRmtiDjGaLn1Hm1zuYe4t8G2ALZrjK9eP9hup0iJ\n+xbG0LGdGgXi8lK18DHaxfdDnAvtcQXYs+gb91ycMb9VTrseI2Is/1+/U8atWr+1gDTvp3Dtmntv\naEar0Wg0Go1Go9FoNA6M/qPVaDQajUaj0Wg0GgfGqcQwHBWt9KLSlvybUs+OgjxrOtkVRdXrGgkd\nrJLyq20z2vObFKo3R/p1qbZvt9t4+vTpLpQOYYIREf/4j/8YEZNkNkIzEI7FwP6g+iFCgHNE7CdV\nO0l53QdwYTQIE3CSzyosgOMh4ZwLBeucdPYJwQxsg+vkdmqIJI7rwtDwG8JpXKI51gb8hmthOh/t\n0bAAFx6gib14deGPTugAcCHN543tdmvXQgi3/OVf/mVERLz//vsREfHLX/5ytw0X7GVwP2gfaQil\nC0/SEEyXcK9hrixMwSFUEfty5Rwi6YRk9LOGDDqRDhcKw9u6kC0d99lSvv9/f02A13kYsT+nVNbY\ntd0VKcX22f35PMA2y6HLWFsgtAOb43bqOMMm3HgjlErXQB53tQ3YFothYD+EIuKV7VAlsTVkyIkQ\nqOAFzzuEaKnIArcd9yG0Q0UXXFighj1xmLkKd7h1JRO2mCNmwfMmE8xwocRLPtc8e/ZsSGBJCxdH\nTHaNcH2MrSsZoWuAhvPxuVR4gwU4OCw6YrI5XvNVXKIqd4L9df1maHFtDQHn906GXbfVkGq3Rmei\nOE6Az4nraBt0TXehrGoHLuzRrc8jaEar0Wg0Go1Go9FoNA6M2QWLr127Vnp6NcnMJYJqwTz3z3NO\nEbvTsGAjBd7mHOe0rFfGaLmk0fNi+84CS4mcXLp0Ke7cuRM/+MEPIiLin/7pn3a//fCHP4yIyebg\n3WE5VXyn8um8TSZ/6gqUarFRFZHh7TPpXt6Gk7u5fcxoaRI6WAaeY2DocDxl1bjNKhvrhDN0vF2R\nTPWeuf5SoQ21fb4GtAtjowwev888XLzN0dHR4tLDEcevGUzBn//5n0fEJGKC4qsR09i7MQTQV/Dw\n6zaZdDgfl8dSWRzHujhJdd6G7SFLNmamREsluOMriwaoGIGDuwepl1g91BH7suNZ0VLXdmViHBxT\njvcvvfTSbG/robBarXbXzmMJMR4ICWCtqQRc3PVrIrqy024NVYEcHlPtR1eCIpPwxnGcGI/OLSfG\ng7ZivWbxELXJjNXn9ukzQiU04pA9Y4yIEFTHq8qYuDIF543tdluKYOizG7NLKByNCBgXQaHjoawV\nHx82AVvAK9s13qtIEEeKqEQ77A/tQ7HtiH37yVh9RhXppQxUJYaBeeLElXQtd+IV7rmD4eTi51yX\nE76oImEqNKPVaDQajUaj0Wg0GgfG7Byta9eulR5NAP9S2aOo/0CrwmeuEJvirGPRneemiucFMrnQ\nkTjnb1KO1hws1fabN2/Gv/zLv+zysCCLHbHPqLg4ci066rzvgDIyzsPuCgFH+FwR9V45pkdznxCr\nzf2tnlVsw2wY3ld2mLEDjq1U2WHnqVf2FtftPP6Zp42vAdeluRK8TmlpCTePmT1bgokFm+XahvYg\nV+Bv/uZvIuJ48WkwWrBdxLuzzaLf0GeaM8DnRn+6XCpAPZYuBj7re+etVNtAu9hzq4WAnc2qt1Q9\nzI5h1bIFbHOaE+PyJzWOP2NXGJoD5Fhw5/kF4CH/7ne/W7J0ZwlmtJjhA6OFnBbYKkcFZDk97t6r\n0u8uCgTbgBVwuYfKgOM4KOnB32kZhIzxiJjGB8wYzw3NXQSj5fLClB3U+cLbqPfdlUGoImJ0nRuR\nbj/pGAyN5OD3GSNxHnB58/y+yo9DvixYLkSOuLxmQBlsZk+xpiNX0NmP5m278iT67A371pw/Poeu\ns46pzdZ43gbQdZa31ULFLv9R/xs4Nlftpzoe3ut9yUWyaHRBVSB8FM1oNRqNRqPRaDQajcaBMZvR\nunHjxu5fNXth8B3+8VWMlv5bdV7PLBZ6RMHtLDHi4VHPU8V+OW9c43C4ceNG/O3f/u3Oc8jeCfWs\nqycyYvKEaF4Se40rxTY+bsQ+2+kY0qqQnx5HFXwQfw02g8+FduBanAKUtsexDOrVB2PG7JLmqSg7\nF+GVDfnaXHvUw8yeZvaQZ6hYBYDVjJaal9vtVLTYedEwpmBq//7v/373GxiDn/3sZxGx70GMmMYe\n32EMXfHgKn8UUC+i62e1/crOM7U3F0Whym3sycw8mFp4lvdXzyafU9vsttH7XJbXxVDvKW+jturU\nFcEWfe9731uM0WKb5bHEenr37t2ImNgcnq8Zw+zUL3V8KkZdmS0eJy3O7tgBzS1SxrEqZqoMacRk\nbzx2ek69Bj0u90k2h0aeT9w2I1FCI88s+hyn+UL83ZI5WhFjz5ZOWRHMExhbrLusbKk5arqe8fqT\nsZw8n7OC8DwWuCcqY6v53NyekUgqZdar+7SuQW7cs/y1iP17hIt60MgVPZ5TsVWbc8qbymi557e5\nzwXNaDUajUaj0Wg0Go3GgdF/tBqNRqPRaDQajUbjwJgVOrjZbOLGjRuWOtZQFBc6CKovE8Xg91VS\nLHBRxSEuQiG+xtdYrVbxwgsvlPS0giWksT3od5cgqcmYmRQwH8+1B1Cq3klRaygDtlGRg4gpzKCS\nblVxACdtqgWK9ZWvUxPWVTaer0GP70Q/AA2L4DANDb9xieEjYhgsMLLUHHbStO539M+PfvSj3W+f\nffZZREx99Itf/CIijo8PbEnD3BDuxOu2hmi5gs4qCuHkdCub52Pwdem+LOihoYIuxDIbb3c8DYl1\nYipqD06oJpPadmEnKquMbV1Yr85RDnF+++23I+LrUFIn1HMe2G635byCeMCrr74aEcdlpjVErxKd\ncmFcCj2Ok9PGd5kcNh9HBQFcWoATRtHP+lzjwuZ0ndZ1zF13JV6hz2su7EnnaxZK7s5RhbZXpQ0u\nwvMRC7gwRsoNIMQPAlsoHs9h+yqtDmhh94j9cXdri4a8uXBXPKtAFAniLq4IuBMp4ePybxoO6gqO\n41X3cWGLKjbkbFZD0Pk4alv6nMPXmZUZqMLVne27MgUjaEar0Wg0Go1Go9FoNA6MU4lhuH/aWhxU\ni/fxe7y6f9Pq/VNvjJN7vQiekUaNzHN0Huddr9c2eVk94PBWICk1YpJuVbbESX6qt9N5fpSJcEmZ\n6g10nlYgk8F2Xit41ZwXVT00lVBN9lrJoFbeVPXUOqZE91cmxqHyAGdiOxHHxTCWstnLly/bPnNs\nUsTxgqc//elPI2JiNeHhhMcV5+Df4J1Fgre2x32u5pKz/axIsBsnHXd3z9H13/WNnrNilLPEd2c/\nOif5OPqdHsddQ1agmbdRDzDkoCMivv/970fE12yRsoHnBS6y7Vg72Nbrr78eEcftEWtTJjMesd9H\nWfFxPqf2ufNyV8Wi0Z5MPKfyiFfMk27DY6aCNFV0jzKi2m6+zqqUTCbgNcJouTVShRPcOnvRntuq\nZ0t3rRgniLxAkAYFjCP2r1ufQ1xBdxWQYmiZAaASKNLoEr5n4j6aHTfi+P2Qj+fmEl5xPPeMroyT\na5cyR64UQCY65hgyFdOoWMzKLk9aDzI0o9VoNBqNRqPRaDQaB8Zzybu7/A3NU+HYVHhPVVbVFaGs\n4pwB9ZpeNA/JNwVn2X/sdVxCxnW1WsWlS5cso5VJNTM7cO/evWP7gSUA08X7acFdlTGNmLxU8Aph\nDlQeErST8zYy1kw9pnxsLfDqiv/p8dlThutUqXZXIBBQrzH3hV7DHAbBeUi1nQ4Z0+byRJcE57s4\nb6X2K/c95IZ/8pOfRETEhx9+GBHHixo/ePAgIiY7xBqMuH7HilR5M5UsN3BSjhZjTgx8da/Iig9X\nXs+qLSpRX8lW62+u4LfOJd2X265MIJihiEnm//r166X9nyVWq1XJgEBu+bXXXouIKVcrYrI7RLtU\nRaz1flUxrDrfHZuoJWmcnLO2YaTgtb5GTHl1ygq4/MSMsa1YoZG8KbfmaT+NzPVMwj1iv3SHY4Sq\n9X5pZGVFHFOLZwHMx1/+8pe7bVDE+KTjR+yzmy7HWBmjav3R+yo+c5QZnsl1bXL3ab0fsc1qJJsy\nrVW0i+akc3v0N/ecpM8W7nlJ11U3ntl9yZXacGt5hYtn4Y1Go9FoNBqNRqPxDcepGC3E87OHTT19\n+MfnGC2wApqzxfupl2mkuF4zWvtwaljAefQfe62WKv5asVj8u8ZIR0yKQlDM+vnPfx4Rx5UJ9brg\nuYWXln/XOGKnlKbbVjH/WQFkx0hozpdTCdRzsQcJ79Vr6hhu9XpqOxnq2XRqplhHoOikOaEMpxaX\nnVM91IoR9uUssN1ubQ5K5r1j4Dd4WP/u7/4uIib1wYiI//zP/4yIaczgIYViIdu3egFHYthdIczM\nMz+iYuXGIZtDbPvaX9W803Y5m9V2OGZM1Tk1/8EVRMfc0iKcEfu5GsgF+fGPf7z7Dvlalc2fB5xd\nqr3Att58883dd5988klETHlbjhHNmGZnI1n+Fq9R/4+9b9uS5LyK3t09o7M01tGWZZ2QfAKx8PId\nl9zxGLwaL8BLcGfAGDA2GEu2hM7S6GR5NCNNd/0XWlEVHRV7d9a4pkv8K+Kmq6u+zPzOmblj79hq\n8Xcsvu6j0zzSfdAl0NYy0/7SxQw6hmMJ66UsobsvAc4DoaufUxTUvnQMzqH2VsZFzzzTHoXvMKbP\nPvtsVVV973vfW5d55513qmpblwDgfu9Ugd3+r+revMfg3qjq3lMcF/aY6RlNFQB5vDu1YqfSrO3T\nuGt3Ddz/uZ3KrE2quJMSNNA9D3M7tU+XIoxWEARBEARBEATBnnFHebRgkYLlnoG3QrzBg8Wq2jBZ\niA/AWyqzXup7qtamyQriLOLfBEzxZXfrWlNM0iFi274J1itFx7Lw/4h3+cEPflBVVa+//npVnWdh\ntT/V2ul8j6dcDZ0KlrNAdudhC5JaZafxVmbL5QvDb7DkaUwBX2NS+eniU9hqhc/Kgk8WJY0Vc+pI\nk6qWtuGysVqtarVa7bSfubqCOXnppZeqquqnP/3p+jfM4w8++KCqlsWyAI4R7RQeXUxDF/fioBZS\nHttuDTgWX62cnXojw60BoIt7rNpmX9FfuF9yG9AXmN/4391bcdwPf/jDqtrEZVVt1uI30atD7zOo\nK/bWqk3cFnJrYZ1Paow6to7N0/XN7GDH/nEfagzVxPSomto0Z5WdciqBGuOrXgLuO2ex73IIuTZr\n/RyLpse4mK9uHrp+OyQLe5Ea8vSbjgtiteAFU7WZ43gO1rnKewvmiWOpgI4hdLGmmm8Pewo/j+jc\ncDFfmv8Wf138tj4TTOsXcJ4SyvBP9/3uvjLFNrv4Z13bbhx2ZbLW576jo4IgCIIgCIIgCIIWedEK\ngiAIgiAIgiDYM3YWw3jggQfWCV0hilG1TbFOroMQCVC5dz5Og+Em17NO7rVqWRKyfcAFeS4JJNX/\nd6Gqd73mIXDoeq1Wqzo7OxuTher/XAZz/OWXX66qqt/+9rdVVfXqq6+uy6isL+YcKHuXZG8Ksl0S\niNwF9U8yuioPzbQ+3AGm5Ko4Xl0bVbiGP0+uWRoQjmOwT1RVffrpp1W1ccNS2eAlLn9THZb09SFw\ndnY2Sit3gfLuN7i0vPLKK+syv/zlL6tq46qlgc68J2OcNJGq26s6+Xz+rMc5qezODZfnbOfO5fqi\nC5R2ro2dGxX/hmup8EXVZq7yPK7arB8nO4x+d0lKUWe4IWEv4hQTTgr6stG5uHYJdzmNxvPPP19V\nVdevX6+qTd+5gPtunNw19f7jklnrHHN7ceee6tqse6dzqe6EV/i3br04N7FJ6ELdwlwYhooDTOJF\nnQjG5Dq4y7PQNwlLnjvVnYzTLkAgAy7a6Fd1sePzYO9193jd/7HuWWBHXZ11fSwRzuCxVCEKDe/h\na3RuoE7QQ+fsEndFN8fQB/p8Mq0B916hfevqheu7fXpCGK0gCIIgCIIgCII9YydG6+joqO6///51\nUB2/Raulx1lGwWBBDAOWP/yt2liyNJB0knnXOrjvdrGAL5E97wQQ+Ls7seIsSaS2RCpMPtVUAAAg\nAElEQVR1qrP+fzctSodmtKrqHKO1pK3Ooglr8l/8xV9UVdVbb721LgNrC9YFrB1OMhUMDVvAXX2r\ntq3vzrIF6LxxVhhNBs5WGWWV8D9fcxJM6NqgVmfXBmUFmAnAXoHfuoSIU32m4G/0ycR0HgrTntWV\ndUCfsewwkhlDFANMgpPa1eBql0xWxYvcvniRpd6NZSenXrUtwjLtxUsCpXU/nNqJ/tGUJVV94LZL\ncqn1cHP42rVrVVX1ox/9qKo2iX4npu1QmESrVIiEPWKQGP7P/uzPqmqTZgDzsmp7jgHuntnd6yZB\nIcfiX7SnTOkLXF06TwbHLi25V3Vz1rEDOh+n1BhLksdPid2XpFP4JjwbrFarna6/5PkTqWCqql58\n8cWq2jwv4HkY48N7Hr5TwQz2RFFxCfzGz+Ja104QyF0LbXB7sYq9TMIUOjfc+KvghROdmCTq9RlF\nWf0p0TDq54SJdBx4zPHM5Pp7QhitIAiCIAiCIAiCPWPnGK177rln/RbNErSamAxvh2y5V9lbWPcR\ns8W/6Zu/iwMBOsYHda7aH2vTsV/7sohPLNMSv+cl0u2XFbfG1zqkhOtSuf8p5gRxiS+88EJVnZdw\nffvtt6tqsx6QPBTWD7bUYM6rVDpD57yLFVHLsUu2qVDrpGOrlljGdf5M80jrydeEdQl7BNgr9FHV\ntjVW1/8UTzGxaGoBdpbuyWJ7t7F0D3GW+k46GsxI1YaZ/dd//deq2jAyYGj4fBoX5+ajzuPJh73b\nm6Y9z81LrccUL6Ps6TR3ld1lyyj6Av2E+5VL9wAoo8xsA+6l2l98b8WeA5l+x5TjnE6K/puCicWB\nhRj7Kpgs7ns8J2j/Tntex6zzb8q0uj1F/3frrpNP5/N18tBLvANcDJla75UJqNpev45l0rZ3sWT8\nndbLMYGdnD1f69Dy7n/qsRqbzWsQXgRILo573Pvvv19V5+dDd29i1kVl09GvvH9ofVT3gPefbk26\n+aiMD4+lxlShXRq/zr9peifeQ3Ee1Wpwidx1DB2rqyyVg65NnIf7FvsUngeXIoxWEARBEARBEATB\nnrETo1X1tfUBb3jsO6oqKo7RUisgFK/Ygo3fUFZVRyZMCmK7xCPtYuVYEi81sUsXxWpNv+1a5jJi\nspbU4zKxWq3qq6++sqplExOq32FeP/7441W1sVBVbaw5ODcSesN6AitW1WauYz4jTsFZF1UZhy0r\nnQKcs9x2DI3zd56sxcoGTNahjvWaErsiLoPjOrtruDqoNW6KAXAWaXfub4Ii1mTtBiYlMtd+TcT9\nxhtvVNVm3+XzKfPofP1VgXJJ/IWOk7Oad0wUtw9wZTSuTOfl5POPMsxIY25qbBbPWY0lmpI4d5Zk\nJPCt2sR5wIqK87s4is8///xgTOzR0dGie53GR/J3YF2RlJnP89prr1XV+ecFd17+rFZqN3+076cY\nrU6ZjD935+XfJnZPr7XEO6Vj51xZd77uPu2+7+IKuZ2qKPtNVXet+tPrNI0hvFt+/OMfV9XmWcA9\nGyjromp6DL3/8VrS82HfVmaryu+ZVf6+r+wSP9trYmGN4+L7Pj6rmiHXSxktvR9Ubes4dOwu/zaN\nVRdXxv0PpdRdPQfCaAVBEARBEARBEOwZedEKgiAIgiAIgiDYM3aWd79y5cqaqmP6TF0HQdWxSwVc\nhECnQgYTLkP8GcHAGmTH9J5S4VMgH7AkCHoJlbyk7CS53glbLJEP3UXOdrrmZWKJ+9PdwNnZWd28\neXMriPSiYxQ4XqWWq6o+/PDDqqr66KOPqmrbLYBdXRx9X3XeLVDdQTD3XSBx5xLFroPa945a7yRN\nnTuXzj8nVKDfuWBW9AvWPPYHXuOT21UH52agx0915zKHXDNuT+j2Oq5/J6bCcw7urZjHv/rVr6pq\nM5e5LI6HGMEUpK3B724e6hg6V7LODYvLdK6DkzDIEndrdTfk9CPq7gLXQSeGAbdgFa9gWXNNmgvX\nFAhgVG3clae1ieu/9tpr51wdLxMXuQ7qWPDaxh6HOYWkrzyWGkaANqt4SdV22gZ3/1E3uyWug+qy\n5ZK0657iZPgB9xzRuTlNZTtpalfGuV1f5Dro6twJhfDnXZ6lDoXp/tWVrdqWRnf7G3574oknqqrq\nr/7qr86d7z//8z/XnzXFxiR607m0chndm5wbnwpbOKE0dQvEX362x7V078N65mvqedRNkOuq7nxO\ndE7XIs7L+6B7LtJ2apgI3kFwr6zaiGFM6XkcwmgFQRAEQRAEQRDsGTuLYXSiDxpIDIbr4YcfXpcB\nGwBLNv6HFY/La6JSFzC3RGa6s5a4uu8iYjEJKSxhlxT7KtPVgTHJId8tsLXzMnH79u26fv36VjLh\nqp5lcywgymJew0JVtUmyibkKkZcPPvigqs4zthq0rKIvVT0T4aynu4gPTMGiKmU9sabOmqvX1n5z\njIQmLNeEygy1NqsVumq736aA1yWCAYdiYRWT0A4wsV4q98u/Ye5+//vfr6qqX//611V13hqo58E4\nYZ5XbbMVsPxN621KzLqk7zthgiVCDI5VUZYYa5L7Qq2xrg0de+48QVBnCF1gHDh9hFq2nUgH2PSf\n/exn55InXyZWq03y10kAAr9xPyjTjDJIzly1EcjANd58882q2jCtLkk7+m6JOJS7H3ZeKS4txJ2k\nTdG1VbW9xymL4bwy9PnIMS9T0u6LZOdd/ZbstwrX/4dktDqPnyXiCUuSqqt3BUSIfvrTn1bV+edj\nsFtIF+MEpLr6ONYLz9A4Hsc4dqnzDqjalmFXhos/qwiK1qlqW0DIMVD6jOLYZl0fKIvzOM+YKd0T\n9iO8j2BseO6jrvxMtwTfjCeJIAiCIAiCIAiC/4+wM6N1enq6ZZWv2rZE4S2QEy9qsi/9W7V5i8R3\nakF0b71LkrROfs5LWK8Od2qN6SysU9ldzuvQWV7uJrO1S9zb3cCXX35Zr7/++po9ZalOWDCWyLyr\nhYvjLGB9hkQ2LK2w2EwS5JjP7O+Meqn0O58HxymTPCUaXBLjp77Rbj4p+7VkHk0xmxOT1SX/dBYu\n/c1Zfpf43gO3b9/+RsRoOUz7h8YYOfYGnx999NGqqnr++eerauNlwHFJAPZyWETBxjIwJ2AVZP92\njUfS/dvVb4mMMeDmdSd7rYywq5djkpU5cAlDcZ/TuYu9h8cVxz333HNVtWG0+L7ZMS/c/7/85S+r\nqurnP/+5HZfLxsQquv91vHVvqdrss5hT2B9fffXVqtrEF1ZtxkfjCV0aDWBKnNuxXo4F6eJAtT18\nzSn+Vvdbt29rYndXRteS82gANCGuk27v2AtGF5P2TYHr9+53hXoKOC8JZfuwB4CpxV5RtXn2hVfB\n66+/XlUbxrZqM85TvKPOCU2N5Jgondd8DBgonE/nmjsev+E+wiw72rMkRgtwa1Pnuno0TM9CjlXH\nfgINCewzvJ+CyWJvjiUIoxUEQRAEQRAEQbBn7MRonZ2d1a1bt9Zvns4nevJXxds83hzxxsh+qspy\n4W1S/UP5mmq9ctZdtczs6k+s2OX4yT+8YwF2iTdz15iYpIuuvU8cmtG6detWvfrqq/XMM89U1cZa\nUbWtkAk4BR/AsSVgARC3pWo4jllRH2RmejDHUS9VdOPflsyfSf1S4WIPuvOoRW9KEIj2cYJGWLvU\nAuVYqomN6+qO+rh+m9rG1zgkowUsiTni+qvV08XNYF5jDGBdZAsroAlycR62emqsIc7H8bdgaXTe\n4C+Pk8Y5TTFVgPrsV/VsgLumzjEX26JJxFWhir/T+Bscy1bUl156qao28Ue4FzqPC1WThMW7quqf\n/umfqurr+I6J9bvbWHLPdAyA9qdTK0O7oVaMJLDoMyQ0rqp65513qmoTD45ruuSvgIvx0zpP0L2p\ni3vitjgFQJ13eh5XtmMmtD1VnqnVeun/jtGanqV0X3L79qGfDVar1bm4wi5ei//nujpmsGq+32if\nwaOgquqVV16pqs2eiX7++c9/vi4DNgjzGOebVCYxN8Aq8f7QzQVed7h34zu3TvT46flGVRCXJBh2\ne3vXXqd4q3XGb/zugX7HPRDH8DMLGK1d42DDaAVBEARBEARBEOwZedEKgiAIgiAIgiDYM3ZyHVyt\nVnXz5s01DcgBwOwOUeXpYJV+B0XHAdOg8vAXFB1cUziQTwP3HVXf0YlTQtepDUvQuQxO1PSEJZLO\nF5WdytyJLO3/Fdy6dat+97vf1csvv1xVtXYhrNoOzp+ESTr3qaqNmyuCtRHoigSEjmKfpEgBpezZ\nPalzPZncVbQOzg1LzzelQcBfR/0r1a9S7u4ak0CBCm44VxRtl3Or6OAEFC4z/YHDJH88CQtoe9XN\npGqTeuAf//Efq2ojKICyzu1Cx4D3f53Pri6awFfX25QAeRIqUFcrdnvpBAqcO6XOazcPOsEVLoM+\nUDdMlH322WfX3/3kJz+pqk1SYpfUWMcf7nCc7PS///u/q+rr++Oh5i1csfCZv9dyiiX3ON0v8Izw\n4osvVtXGhbtq4yL++9//vqo27j+8R3XJ653rYHdvcPvjJMbTJbedEnGrMNGUlmNyqdb/XWJv/X9K\n+DyFKSyRIXcuXofAnyo21gmuVfX3Etdm7HlI1v2Xf/mXVXV+T/2P//iPqto8D0+iVQCeoVWEgo9X\n8BxDeR1vPlafAdTt1T0bTGupKzPtbSoCxXMW9xz8xTMbuw7iM5678Pz23nvvrcugL5c8ZzHCaAVB\nEARBEARBEOwZdySG4RgtfNa3e2cNVOl3lncHu6V/8SbJb+MqCzlJm05W8y7pq7OydVLguwhVLIEL\nzl9a3l17KnMZONS1b9++Xe+//3797ne/q6paM1tVm7mldXPBrGo1d9YSMFqQyn7rrbeqapNMdEJn\nXeU6uCDWrqyTFFbrmrMuqrDMEkumSwKM88Dy5hIzLxHp0GtMjJses0T4ZpK6PySjdXZ2ZpMrdhZi\nJxmuezBL0v7sZz+rqqp/+Id/qKoN+wJmhUUDVO5c2d2qbQutyvvyd3zf4Po5YQpN8jtJ9k4yy51F\nWetyEVAPvd85ZlUFRiDhjqD3qo2wg7bL7f+wbP/2t7+tqqp//ud/XpeB9fXQ7IATFlBM67KzjHN5\nHWecj5PIY5ywx//mN7+pqk3qDYb2mbOsa7smRlTnH/eFzlUnRtDJsU9JkievlG4sXDoFHZvJc0C9\nKriMSr9PTNCh5+ydMqy7/KbeFZPwCp6LX3jhhXPHcplf/OIXVVX17rvvVpUXAFKxOE0QzPXQMXAJ\nkBUTo9Ulya7a7ieX8LrzKnD91dWdz4d9AO8aEL5waTQgeIE91Xnh7IowWkEQBEEQBEEQBHvG0Y4s\nywdV9fqFBYPA4/nVavXkZV4wczb4E5E5G/xfQ+Zs8H8RlzpvM2eDPWDRnN3pRSsIgiAIgiAIgiC4\nGHEdDIIgCIIgCIIg2DPyohUEQRAEQRAEQbBn5EUrCIIgCIIgCIJgz8iLVhAEQRAEQRAEwZ6RF60g\nCIIgCIIgCII9Iy9aQRAEQRAEQRAEe0ZetIIgCIIgCIIgCPaMvGgFQRAEQRAEQRDsGXnRCoIgCIIg\nCIIg2DPyohUEQRAEQRAEQbBn5EUrCIIgCIIgCIJgz8iLVhAEQRAEQRAEwZ6RF60gCIIgCIIgCII9\nIy9aQRAEQRAEQRAEe0ZetIIgCIIgCIIgCPaMvGgFQRAEQRAEQRDsGXnRCoIgCIIgCIIg2DPyohUE\nQRAEQRAEQbBn5EUrCIIgCIIgCIJgz8iLVhAEQRAEQRAEwZ6RF60gCIIgCIIgCII9Iy9aQRAEQRAE\nQRAEe0ZetIIgCIIgCIIgCPaMvGgFQRAEQRAEQRDsGXnRCoIgCIIgCIIg2DPyohUEQRAEQRAEQbBn\n5EUrCIIgCIIgCIJgz8iLVhAEQRAEQRAEwZ6RF60gCIIgCIIgCII9Iy9aQRAEQRAEQRAEe0ZetIIg\nCIIgCIIgCPaMvGgFQRAEQRAEQRDsGXnRCoIgCIIgCIIg2DPyohUEQRAEQRAEQbBn5EUrCIIgCIIg\nCIJgz8iLVhAEQRAEQRAEwZ6RF60gCIIgCIIgCII9Iy9aQRAEQRAEQRAEe0ZetIIgCIIgCIIgCPaM\nvGgFQRAEQRAEQRDsGXnRCoIgCIIgCIIg2DPyohUEQRAEQRAEQbBnXNml8NHR0ero6KiOjo6qqurs\n7GyrzPHx1+9uJycn5/5WVV25cuVcGfzF+fgzf+f+36HOf9Lxd4LVarW4DPoQf09PT8/9dWXwl6/T\nXdO1W8suqe+Eaaz48+npaZ2dnV3eQFTV1atXV/fee+967uEvf8Y8dP2A+ru5qmW6ftjlmO67Xcvu\nijuZEyhzp2X1Ozevu/O4svod/r99+/a6DD7renP1Ojo6qrOzs0ufs8fHx6vj4+Nz9QCwn169erWq\nqu69995zf/kzymCe816s82+ajzpO2r/8+U/Zo7p9o2qz/pYcv2T+3Gkb3D2vu2a3x7s+xry8devW\nub9V23P0on3gEHP2/vvvXz3yyCN2naNumH96/2fob1ym2+um5wj9f9p/prmvewn+Tvdp1xf6fOTW\nprZnWqO7PN9M81rPg3ahnV9++eW67M2bN6tqM0dRX+w3fJ4l903U5+OPP/5wtVo9eWFD9oQrV66s\neN/kZ4P77ruvqjZtQjum/cKNt+7X99xzz7lrcb9092C+ZrcX73JfXXK+CUvm2nS+O3leWPLsM5W9\n6Dr8Wdf69J7z+eefL5qzu75o1dWrV9cN4QcYfPfAAw9UVdVjjz1WVVWPP/74ugy+QxlMct5kMCF1\ngk83Ud0keHPuXu4YumCAJTcEPQfXUevqNkhsaDdu3Kiqqj/84Q9VVXX9+vV12Y8//riqqj7//POq\n2mx0+MufdVFx3+IzfsO1v/rqqwvbME109IV7meFrfvLJJ1vnuNu477776qc//Wk9+eTXawF/q6qu\nXbtWVZu5hvnMbcWGi7k63Ri1H/SBV4/j/7EB83mmed31vRun7kbA8xNzwG3GgD7wuf4C9BpujuH4\nL7744txffnjRuYq/uMm7NYBr/fGPf6yqqo8++mhdBusKcxHrDWX5PFeuXDn3wHtZODk5qccff3zd\nVp4/mLMvvvhiVVX9+Z//eVVVff/731+XeeaZZ6qq6oknnqiqqkceeaSqNvtu1fZ81vnE8xRjpvsO\n9z3GDv2J3/gBDePd7Y/cTnxGPVBf96Cj+xpD7xuoA+YI6l21PadQd77PYUx0zuN8fB59SMUe7x7E\nUOb999+vqqpf//rX6zJvvfXWuXq59cZ9gPvEZeJb3/pW/d3f/d16HXEdsIfiWQDz0I03yuoeWrXZ\nI9H++++//9z3vIfieH2e4PmD/tQHKjUOclm0C+3kfQOfcb/GHsN7yIMPPlhVX/dX1WZt4i/3gT6U\n469rp95r3N6u93ue12psxDpGGz788MN12d/85jdVVfVv//Zv5/qE762PPvpoVW32K4wVjye+w7X+\n/u///vW6RNx33331yiuvrPeAhx56aP3b888/X1VVL7/8clVt9lKeG5gTWNf4n+c1xvmpp56qqqpv\nf/vbVbVpO9/T9TkUewLvUfiM3/T+WLVtrNG/qC+fB3+7Z2Guqz5TM7p91t3T1QDDZXSOOuJGX36n\nZ9bu/WG6z3322WdVVfXpp5+uy+A3nOdf/uVfFs3ZuA4GQRAEQRAEQRDsGTsxWlVfv8k5y6FakJxL\nS8cuOUu9s+Lz96hL1eySoG/CkwvBLpSj1pNZnI4VcG/jKKtuPg7aBscoLqGU1RLgLBOwLqiVb3I/\ncm4Ck4XkMnB0dFT33nvv2groxoDLVp0fA7XwL3FTUbcQx/Dp+fkcE5Oq0Lmm9XTnUbc5riPmFI6Z\n2KVpvShjO5VRS5mrq9ZB+7hqYwnG+WAVYwuwWswB517Y7XV3G0dHR3XlypV1O7j+sIjDUgxLK1uT\n4TkAC61axqu256HCucupOxH3GSyiasF0469WT+fiCesr9kVl7PUzX8uNWeeizdZitcLuMvbcTnUr\n033FuQUCsIDD8l21sahOfcp9eIg5e3x8XA888MC6bW7+TKxpd59mKKOj3ga8TvR+hWN5zjDzwHXm\nMpjX6HOc5+GHH7bnqNq2xvP+i7rqPZiZ386bx+2TaLMyWs6lUTGNERgXrA/8X7XZX8BagfViLxyd\n8/iLfYs/T/eIu42Tk5N13XgMwLKBrUNdnYs25hj6iOcE+oi9Capmb5AlbJD+z2Os+zTO4xh6/KYe\nJ27O6D19uv/r8+PEaDlWrquHc8PtQg6WuB27euE47C9cB/zG3hxLEEYrCIIgCIIgCIJgz8iLVhAE\nQRAEQRAEwZ6xs+tglRdaAI0Kuk0DOqu2A1MnYQHnAqX/q+uacztwbgrchqpttyvFJIbRuTi6803u\nXNo3k9iCBuhy+UlNTdG5G/Lnyd2jc89wAYaHcg84Pj6u++67bz0PnavH5Jqhc3USplA3CXWn5eOU\npnZzQ+fPFKA6KT92LpKTO6fWj8trG6Y5Nrmp6j6iLjNV225q01h1bkLsqoU1A7c6BAa79XuZSqV6\n3ZOTk3Wd2F0FrihwFYTrILvkqNiQc8nsXIzdfFQXFPTnFKTtFJs6V8Fpb0A9VEiDoW4qXEavoWWW\nuMY6N2Gd10uEiVx71WUH5+XAfLipqXumcxc6FCCUhbbz3NB7mts3VAxDVdr4O93D0Q8sSKLr2d3b\nNZTBnUefQ9TF2u2zWHc8hno+vUc4AS91d9c+qtqsdZTFPHAiNFi3Oo8Yuge7+ybclyHwAJdBFkDB\nZ967qs67IOLcLChymVitVnX79m3r4t89j7l5pPN6Cq/QderCLCaRMi3r3K7VHVD/8txQN9fpuXEX\nVdddFISdSyMwPT92bpSAe4bWe+GkOuhc9+80BCaMVhAEQRAEQRAEwZ6xE6O1Wq3OvdHxGyMsFfqX\nLRqddcBZc/iaXVllsCYRAWVo2JIwCVBo2V3yVkyiHxcJHXDwpFob1OLBnyeLQvfbEoEQV6aT3j+0\ndZUBYQHMvWnc3DgpSzdJK6sVzAmc6Lg7IZYlIhjALrlW9PzTfJyC0XWcpwBaXVs8Zzvrmat7Zw13\n4jg4L/YetqJiXcHi7iy2LB5xCBGXo6Ojc1Y03gvAboDBgtXcsciTNbCzrDrLX8cKOQER/cvWU7Vc\nLhHM0DkyCV1MYga6P07rZBIJUmi6gaptCeDOasyfVTiBxxMCGSiDQH1nAT4+Pj4IE3t6elqff/75\nmiHm+z7qjzah3jyvIW+O+a19V7VZs/hOLc4uTYyOpWMQltwTcA1lGfhYtFnZVx4nrCuwUugDZr+w\nX6mXipv7ut40TUzVpt+6VBkMXBv10+c5/g2iGEgn8cEHH2ydT6/JzC/qyHvEZeP09HTdNsy9qs2c\nBXuHsZ2ekTCWPK81lcE015Y8P+m9e0k+tzsRJJtE1CbWq2Ow3Pm6PZ4/79IGvTb3iUrIu3Hons0Y\nfF/eBWG0giAIgiAIgiAI9ow7knd3Ut9444cFwMVoKTswxf10b/6O0eoSvKK+0/mm33ZhrxhdUtpJ\nbhJv6i4pIawiXdLWqm0ZWv2fP0/JbRVqfWCLwsR2AVNm+MsA4l2mWDpgihlUOOupsiOTFPzEIC3p\n1zvBFC+Fz5rwcokP8xIJ18mivITRUkueYxg7tsutJVh5VSKa63WohMVISYD5iD21ajvuyslDdzLl\nzA5046PzgMuq5dFJretfvuYuEvB6bQdtnzufxicAS9I0TOkG9FouRksZDWd91vbh/Nz/sLRrW5w0\n/aH22bOzs/r8889tHBGzIVVzfCXgGFFleHR/nGKzXb/oPHbz0K0HPob3DdQZ37nnB01Qj77hNY7f\ndA25GBudx87yr3s6xobrpewofpti5VRmn5kcZUF07Ko2/X1Rqom7hePj43r44YfXsWZPP/30+jew\ndPgN7WGmEMB4o/2O/cN3uqfwGOh+5tIDLJHq7+DmY+cF5jQMpmdBnXeT9HrHaDkZdW3vFK8GuAT2\n3fzmudd5O7j162L9J4TRCoIgCIIgCIIg2DN2ZrSOjo6slUdVB53iVff2vCSmiq+vn5ewFe746TuG\ns7gsYcjUmsN90cUDOAVE9KVa3hyjBWsq/jrrqVoEp7f7ySe2S2rMYIvbIRJp6rVdeyaGFegYgKpe\noUjV+bq66TW7OT/178TqdmUmf/MpbqazNjnL25IYyy7x7HQtVXrka+H4SQlU1yTvZbB+MRN6mUBc\noYsd0PgNWEGZUQHT4Sx7QDcn1fefoUyZU7pSRt3FkWpc0hKFVMAx9JOKocbLYDxRlyk20rEDXeyA\nu2YXi7YkVoL7QhOjOgW0Q3sOnJ2d1c2bN63FV9eqJtet2r5fub1YWdwprk373LEDHaO1ZL92CZA1\nKa1TLevuETx/EGeFv1hLOJbjucCEYV9we3sXw8h7hq6HKSYG49c981XVlieAu2+6GLbLxL333lsv\nvPBC/fCHP6yqqhdeeGH9G9Rc0f633367qvy9SVlc7geMj86N6ZlpYo50ri9RLe48v7rjq2alWjc3\nOjVX14aJyerOt+QetiR+G1iyT+6yX1+EMFpBEARBEARBEAR7Rl60giAIgiAIgiAI9oydXAfhNugC\nXkGPgzZ1ssmdy+BEn+pvUyI1pb2nMg6d+9USKcjJpdElxFO3MqXPncsE+tvJgHbuOFwvDdLWazlX\nK00yOtGx0/HHx8cHcx28yE1KXeKcaIm6ePL4dGkG3PU7uWF3TXWbcy4E3d8p4fUUPD6tpYtcTxmd\n+6MTEQEm6dXJpVGPn1Ic6JrUfatqTo57GYAYBurGrkfYAzBecCtiYQQdZ7gVObedzq3UuRyjX7CP\nsFtg51bo9qjOrcsFyk9B1XoNdx51pepcCav6VATOXQhwoh/aF0tcrDtRDNeui4RGDjFvV6tVffHF\nF+u5xmt7SuDOx1dtizAwdN5NYkGaAsWJTOnxOo/4u85tyrlCO7dCvaaKqHDSXke0pqEAACAASURB\nVBW4QV9ATh3S41XbbqWAc9lVN2MWdsC1kDYCbcD33Mf4DWMNtzheP+yWWDW75fPedZm4evVqPf30\n02vXweeee279G9ry3nvvVdWmjuwSqXPdCZvA7Rv7difOU9XfyydxKBeWgvmLenX7LX83iVbpee8E\nk6jWEpddt5YuErpb8h7A19R6dOkzunNPCKMVBEEQBEEQBEGwZ+wshlHl5VnVWuWkspcwRV3w22T5\nn2Reu+MdM9PVb5JlX8J6ufOoZUct/lM7Xd9qv+P/Dz/8cF3mk08+qaqNtUktrBOrMsl9LwlYPDs7\nOyhDMAmmdAGhVb3lwgWf6hyYrDCT/HDX91MQ65K5toQV0jpMDLJiCfvlzrOLaIOWdSIEyiDwOTRA\n3SWZhNXyUIk0T05O6tq1a+u2slwwAuGxvmEZZYt4JzrBrJ2OxxQwreID6B+XfFpludkq2IlWuATI\n+t2UJFlZBmc11zIq0sK/qdjQZMmd2CVnQVYsCdJ2wi96XmYSD7HPHh0d1dWrV9eWe9evgBNz0nQw\naAOvQZ3X6A9lr/j4SYhEWXtcyyXZVultvU7VtgiKs4x3KQ14bLFOwWAhmTP+8t6OPvz888+ryrNV\n+A2sDNrkJOBVst0xjNiPsBeh7txOTZIMMKOIz4cScIHnANrG9Uf/ffTRR1XlxcVQbxUtYrESFX6Z\nUlEo3H2/e4514lyA7muOfde5usuzOV9Dy06pE7qyE6bnT2Dq28lzoxMvW3LNixBGKwiCIAiCIAiC\nYM+4I0YLYKsVrBNOeraDezu8iEGY2CUHfePfRQbXsVUdg+WkrdWa72JsuvM6i6CyDEsYMoZaWNVi\n68ZssgAsSZ53pxaAfQKxhfgMdGyLY2aURVwSlzS1eUl/7CJJusTHuksQzL/ptV1/dfVcMu67rDv+\nPMnXa9lOCp7Po3GPHG+K37744ouDsQMnJydb1uWq7cSXWLuQgubv0A9Y52xpVavnFKfZxbC4OC79\nO6WX0O8d1NLqWJzpfB0z62JGUEYTw06MlLOedrLubk2o1XVi1zsWu+o8u7OEsb4bOD4+tlbhbt9x\nca56zJT2Ypc9YcnziFsDynZNCVS7Pc+NpUqB8xrHOgVDgnphjX/22WfrstevXz/3HZgXt046OfKq\n7ThOnfPMhqMM6qMsZNVmz8FcRFyZS1ujCa0vE6enp+t2wOOnauMhAGbOMUeoP2KyMF7sHaEstLJn\nS5get5Ym+fPOa8ZpBXTxhG5P1nsnzxFcY9rrunNPXmZTvbrfdkmAzJieG7oySxFGKwiCIAiCIAiC\nYM+4o4TFeHtlK4cyWkvglHv4Ovx3Ssy2RElwiom5CEvKOsuW/u9UtZZAE7s632+0D9YVZa2qtpMZ\nqzqWi2WZ1BUnRTDgkEwWwPFhk8rMpFIHS9SdMKLufFPMWMcOTEyPfu8wJVnt1LSWxK05i3K3Btwc\n65J2u3MvWcewuLn+7yyCU0zkZWO1Wp0bG7ZAKhPl2GiNEXKxRqpWhmu48e4wJQ8GXBLZyfIIdPvG\nFAfoElV39yM3v7s9eeoTx9x1ca2OldM+mDxCpr7l8x1KdfD27dvrtjmGWNvG8Tq6rvEb96sq4KmF\n3u2PkyKsxmvif2Yk8BlraGK0OhU1t+dpTLXbaz7++OOqqvr000/P/e9iyHANnPfRRx9dl9E4IZeM\ntoNjdXWdoY9YbQ+fl9xzDrnPnp2dbcWV6ucqHxeP79B+MFr8XKzt16Td7t6k68TtS6pe6OKuAI3x\n5HuI25O4LlxH3TOXKKMu8X5YwhxNSZI7Zsvt25Pn15J4/CmefEIYrSAIgiAIgiAIgj0jL1pBEARB\nEARBEAR7xs6ug8fHx1v0Z9XGVeBOXFAYSvlP1H9HObsA2inYW8v+qa4XnQQ8QxPFKd05uYk5Krmj\n8yERW9W7NiDwk+njJdLtU/vcb4dyaTk9PR2T/iqcG9AkE3xRgKQbS65fdz6t35QqQSlx5yKp4+/c\nOLQ+d+pSt6+x7q7l6qJucM69UN1EJsGDq1evHsyt5fbt23bOqkQv/neJWCeXOhzf9dmU8FrrwtdS\nd5BJSGiSAO6CvSdXLf2e29Gtl2mfVYlrVw+XeFQxuUh1Qd/TNV27JzfMy8Dx8XHdd9999v7fSVFz\n/SE6oPPPjbfOb+fW1/UHu011zxiTqI+OhUtJ0Lk08TUgwIC6c9JelWFHGdT9iSeeWJdFkl0ISkyh\nG5irkC53ded9hI+B6Aa3AWU1KS9/h7J4HuHzuzE+BJyAS5e03gm4qKgHl1EhEr0mo9sf3b1c3fdc\n2gug25sZk4DLJOqmZbQOS1JcLHHN3gXumWiXkA/FPs4TRisIgiAIgiAIgmDPuCMxDBdUp4GpainF\nsVXLkrXuIoah1ncn2DBZ4+9EgnoJJsv6RW/qrg1dwDCfD79pAsKq7QB4vRYnPdWA+qX1XlrmMtHV\np5sTkzSxs1Z2LNBk1dfzu+sry+ksrUv+7yzhk+XWWc07S9skhtLVj4/T80/fTeMALEnl0LF8jJOT\nk4MwWmBhnVUe1u1ODhvH83doA7MvamnVPZ33DQ2en4QFOraKv1OgnS5B9BJGXe8DXF/1ZNC/k9S6\nu89pWRckjz7AWGnfuNQdUwB3x3pNYjaHAMu7T8JPrgzGHvcgzD/H1GpCcU7WrNfEd8pSVm3flx1L\nqePbJebmeqnAgOsLFUjheYg6Qub98ccfr6oNS8RCFyiL86gsOV8T7YIUPPeFnkfZNAhoVW3WA+qH\nY533gz5zuL6Y2I67iaOjo3NeC0uk+nlv0STbk0DTEg+vbo+avEqcMJqmIlDBnomF1etwu9xvWvfu\nPE4USeuwhOVzUIEKd81OxMJ5OE3n0XotRRitIAiCIAiCIAiCPWMnRuvo6OvEr46tUn9nFxOlb4F3\nIs/uzrdEwnWSprzo7XR6o3WW1ovizPj6nd/sZDWYEgtr7BdbrdQyq5ZBJ2+qFo+JnQEm5uVQcHWd\nxuciLPHjd9YYtdpM1jy1wrjYkyX+1x0mqVRnjdU5PzGBesxUryUWJB0rJ6vdJYHkPscaULl+JyN9\n+/btg8zfs7OzunHjxrqOnIwYSTU1FpPXtva1YzC1rPaZkzGe4mc6Fs35t6uF3dV7CZOu7UQf8DVV\nulvhmEyV4OZYZEDX7RIW3I1DF7vhvB+m+JtDx7mgDhr7V7Vpi44Psy6AMqxufHSfdQl4ARyPazpG\na4oD7M7n2C+0R5kt1waNc3/kkUfWv2niW00QC7n3qqo333yzqno58qpNn2oSYZ57ylqjXS7+Tdf4\nJPetzBavG1xzSZzj3QAYLX0O4s+6Pl0cGmKzMH+4PRoPjd/APLIXkTJOmji9ajPHwDA6xrFL5O7m\nrO5J03O7Hu9kz51XwUVl3d7eMWTTnNX6TqycYyyXyLsv8bCw59ipdBAEQRAEQRAEQXAh7kh1cIky\n1ZL4FAe1hCqL49gqPXZivdyx3VvzkliECVNfdGzFdF5V+2Gor/cUY3Pt2rWqqnrqqaeqyiuv4XhY\nSpZY+76JWK1WrfWhi81zcYVLGJmO/XNrYLKMdNZ3Z+VWNmgJq+TmdaeYNcWQTWuhY7/cWprmlq4T\n/d/FZcDK5+Je1Lru1tI3gdH64osv1tZTtkBq7KRLQtqpAzr2VMdwinlbkiQacGU6y/W0tjp2iNHd\nK9x3S+II8dfFX03JaPWaCrcGcA2dq45B0Nhc51FydHR0UC8Cdx/T+G3Xd11cm7OEo/1gSVwsnfaj\new5QNneKI+28FJbEjDtGS9lSrhfuuVAHBIsN9oPZC9QL93T8ZXz++edVtVl/YM+4LOqq+4ubyzgP\n2BX8z/0HFh5j5eK48J1jjC8LZ2dn9c4771TV+X7FeEDhEXMMcWlVm35EOyYlSvQn4uN0TPk4jTl0\n+78yWi7+VpPZO08CffZz+2QXi70kPlrXvDvePWt0+/bEUk3fL4kh7hLWM8JoBUEQBEEQBEEQfENw\nR6qDkx/nEov9FI/UKRNOLJqeb2LaljAzncoff+7a67DEYjsxJ1rGWTQ733H270UdYUGCjzFUjZzF\nGxYYWKj4fJ3CzBSLdgisVqstJaiqTf+pxdhZY6f4iIuwRHFI61u1HW/HcBZVPnZS8HFWq475nSxR\nrkx3TWCyAE9zX8+3hGmcLFRqceO1hPVxdHR0ENXBqq/r7vq7U8Jb4gO/yxqccqVofFtVny+Gx0Cv\nr2PgfOHVYjutpSUM68Tg6X7vYr40dtFZbJUN0DXlmD2dzy5HVleWr3F8fLzIMnu3MHmeqNWc57BT\n8as630bEwmhMjLPU631wut+jjOam43rp/VXvpfxZWWZ378D5wExwHKbGeqHsk08+WVVVzz///Lqs\n5qdC/3344YfrMmBPUD+wNBwXpsyG6wsAdcbYoL5cVp8XMGY8L+BRc8j5WuXZJTBX6A88K33rW99a\nl8F3E1uO+YJzI77u448/rqrz444+R/+iX7mMjhPmmFOg1vWhHh/8eYrF786zRL0QmGLklzwfLdFx\nmMp21+C1qfdUd990OUiXIIxWEARBEARBEATBnpEXrSAIgiAIgiAIgj3jjuTdnbtN5w44uSc5V48u\nsNm5G3RiE86NRl1FnJtc57boAs07+UnGJFTQufUskQSfoG3g/lJ3B7gdgAJ3whnqPoPA2qplbhlL\nXCvvNs7OzmxgqQbhOhlljH3nquegbXVroCvL0Gs6dxx1E7vTeqrLoZNO7RIfTkmcp77oxEhcGZe8\ndyncWtJ+YtleuLnosZcN56ag7oROhl/3UBdI3AU4O0lqdVNx5+v6dXJh1b53iXzxHdxnJkEYdz/p\n7iNu/9b9fkqyqv+7eckuqFUbl6BJUn5KJYJxcAHw7K54CMEiuGe7+usaVln2qu2171wJ9dya6NrJ\n5k/3Q5wP4+QEdnBuCFPgL+6DuyY81X3V3XPg0vfYY49VVdWDDz5YVZv7NLuJYQ6gXlgn3AaIXsBl\nEKECDNQV10b7MNf4XtmJNvA11T3W7Rm41qETFjtXOL036bNS1XY6ATdnVdgEf91eoO6uKPvBBx+s\ny8DNEdfQucF11Wc3d09W91R93nHtc/eci55jp+ec6V6hZRhuTnVYIt3e3Tfd/IzrYBAEQRAEQRAE\nwYGxsxjGycmJZbSWsEtdQLJjxi5itvg3PZ8TrwBcsF+X4NQF63WiCEtkg5dgSVmXeK57Y3cSwLB0\n6HiwpUwldF3wOKxnymwdkr1yOD4+3rJSVG0zBi54eRdLvcr6LhEhmEQddP5NjFbHbLlrTJbWSUBB\ng/xVvthJret5HFvVyb1qeVdmYom1/a7ujrV24gyHwCRBO1mTHRPD56vanm/KkLFVVq2SUxJZwAVp\nq9DB5B2gLNWU0mLJPUelwSf5cPzF+Vn2WZObqpBC1Rw0zuef6u72bb2ms4YfCmdnZ3Xz5s31uLG1\nvwvOd6JD+E5lrHGNqs0YYCzBQDPr0q1h7tfO48SxuRBHACvkvDncfNE66LMT2gBmgtvRCWawaIPe\n0x999NFz3/M1VA6fRRY0yTL6BH3L/YbzoQ9UpIuB41wyaZdW5jJxfHxcDzzwwLoeE7uN8WEBEX02\nwnnY60fHTK/lnn3Rj7ruqzYiGpq4nucP5igYUfUYcEI7GH/8dR4t071XE4Prvjslt9f2X/QdoGtc\n7yPu+XgJszY9t93pPhtGKwiCIAiCIAiCYM/YOUbr6OjIMlqdfzujS3g5xSN1rBVfa/Jv1zdz90aq\nFq2JZVBrrrPCd8fzG7L6uXaxF/ydxk25eIVJtlrlK5UxcYwWjnFWCH3z7xKS4lqHkHFFOgLHTqiv\nubPIaazIxC5NdbjotyXypU6KVOf8LueZWDllTLg85pTG8/D5dH5rQm1X5136AlY+tvZ1a8odr+uD\n1wbmwY0bNw4ao+Wu3bEavPa6Ok+MlsIxNLrXTXu8u06XhHLa8yaZ6SkVgV5T6zNJwaOPYY128spq\nAWbJZEATuU7xt5q4ls/XxVg45m616hO0321wLCyPJT5P+6RawPG/63uwSyptzu3Wvp9kq7UOfI8D\nm4RrY5zAIEz3DDfe6sXjWFiMPVgQMCRoLyfNRT2mpL/KZOB8SN1StelnXBvtRj/yWsM1wZTgPKhf\n1XZCZjBjvI4hdc4M3WXi5OSkrl27NiZiRxvBFHIsFNqmexQzmuhr3UtcugrMMci6qwcAl9c96qOP\nPlqXQWwXxgWS9MqU8nmUaXOsOzA983b1dak7Jk+W7h1hitXSmCq3B2m9XPzzJBfvvIGWIIxWEARB\nEARBEATBnvEnxWhNCkPOqqa+2S5uZoqv6K6lZRzThjLOP7xTjnJMgsaeqOVMr89lnK+/Hj/FxuC7\nSfVx8v3WRMewjMH6xBYpWHLUaujil65fv15VG8uUU+85dNyW879X651alas2bVEGifteLZgTe9Op\n+jgrt47zFDuma2qKc1IrujvOWaLwm85HPYbrrNZsF1PVsbruWhr3wlY/ZXuchUrXh2Njeb0egtEC\nK+H6Q1lEZ4V3DCOX5c9dDItjS4DJR1/nEe8FGgcyjTvGoNsn+VrqkeDUCye1WQC/wUqsymtcD62f\nU2zV+4lLbIrvsN+6/QHzeoli6aE8B6q+Hg/X9i7Jsyujyoouwbyyfti/mZVGf3axxlXbe4lbExpj\nArbBoUtcy3sL6qznnZ4xwKKAVXGqqLqWHCOB3zTOkIFrIwYIiY+535555pmq2sQC4RmDk/lqXBDG\nhsfcjfFl4uTkpB5++GGreoox69hTLj+tN/yGeaMMF88N/KZMH7O6GEPUQ89XtVkPej7MI/fsonPW\njcn0jNrFmE4Kq1PMV/fcuEscl7tXTGrhGmc2PXftGqsVRisIgiAIgiAIgmDPyItWEARBEARBEATB\nnrGzGMbJyckYPOikFYFOPtG53blgtYswBThPwXQdnMQljlexgEkKUl1RqjYBi+qK4GSRtS+UPq7q\nEzs7lyjQ4aDM4VbBEqz4rGVdwketJ7eJ3TMO5dJS5V0H8Z0GoTItrC6Dzt1C3X3ULYSvuSQNggqR\nAC6QW+edyli7MjjvNMfcNTXoV6l/J4us+4Gbj1Pi4070wbm/dHLBTrhE1zYHObNM7yEk3lerVd26\ndWvtOsKuQkuShANT4G4njDIFL6u8No93J1rB460B9tq3TixI3UEn4SR3Hu0D5zoOoL+xN6skc9X2\nfFYpb4a6FLsUJequrEl0q7x8ubbz0FitVnZtVy2T8db9Gf/zHqhCAJiHmvi6arOe8dcJSAE6J5z8\ndSdQwHsojtc9isUeVPgB5+e6w01NnwVURryql6h3ZVSQwbUTogq///3vq2rjOsjA8ZiPTz/9dFWd\ndx2EO6FLrq3XdEIylwEIu03S8xgL514ITKIOaBtcMd97771z/7Mgyfvvv3+uDPYWl4bFCT4AmKvq\nQoi1wO1VMSh9fmSoe/j0/K/JxJ077pRWoRPMWJJGyYm7qRugCme4urvn1TsNJQijFQRBEARBEARB\nsGf8SWIY/Jaqb4FT8lG18LF1GVYSvI2yQIOrC5/XSbgCu0jKL5GZ1jdutsrAoqC/ccAiPuONX/uC\n69RJtzprnwoyMLuk/aMWM7ac45pgtJyMbJd4Gtaaqo1V5datW6P8+93C0dFRXb161TJHap2e5FSV\njeXxxucpuJ/rw+dzDJRK4bq6d2kQMAZuzkyWdV2vapWt2swl7S8NSucyKkIwMVoq9OCupRZvtkgp\nq+KEBbTfUT/uL3y+9957D8ZonZ6ebjF9Wobh5obOGy6jFszJS6ETIuHxVrbKWQU1+H1K/t3NiWk8\n3DV3SXiNPVnn+RQYrufl8pqOA2VcKgHtfy6DPRj7ggvIdvfby8TZ2Vn98Y9/XNeR79voD7A5jrFX\n67ETlsAcw19Y5sGk8HOECjO5dBgqDuVSPaicu+5nbgx0fBxjonsmn0f3LWVPnfCNMrZ8L1NmA79x\nf+G7119/vaqq3nzzzXPn4/0RjIuyhNxOzFmsJbeGDp2wGEBdeW5gfJCg2AlldR4d3PfYUyBIAcYQ\nAmJIQFxV9cEHH5wr455HVPzEsS5679XnTx5LjKF6N7kyyuY50Tl99pnEMPSYJfv2BJTRpPQMfX5w\nHjEqUMP3ua4vLkIYrSAIgiAIgiAIgj1j5xgtlnCd/LCdNfAiGfWqzZs1LGPwK9U3UQbevl38RZdA\n01lulyR/7STl+W3c+UBXnbeUcUwI/+biZ/S3KV5K5ar5bVz7Xy1b7ppdvBCfR8H9CEvO8fHxKI17\ntwBGy9VfpYSdNHHnj8xjq5ZWZWHc+bTP2RoI6+m1a9eqquqxxx6rqo11jctM8vsKZWFdTJVaP9mH\nHJ/V8o+yHIOo1jjHQGn8DcBj5eIm+Hs+trOMOnnWLlauarOfMBN6mTg6OlrHw1adr38XyzKxp+5/\n9RhQi62zLuoccfLuGovnxqeTd+f6dcwBl1FW0jHmmEtd7A/3rSandcmgO88NVy9lTKZ4Xm03Q+O2\nHFPL8+AQsVtnZ2d148YNm8AXUObfxQhpf3J/YFzU+o6yHE+k92DnIYNnDOyl+szB11jybIB5gmu7\nRM06lo7FV48Y1N1JzCOeUNkUl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v4UrFar+uqrr2yCUpXGdjL3+p0L9lSZWp1zjp1EfzpG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\no+X8yDtJYX7rVTlQ97arVib1T3fWQLyV422cJbw7/3a2BKiPrfq0crwUY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cmO4BWw9BVZ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_closest(13, nmf.components_, X_train_nmf)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Бихме могли да видим и как изглежда компресията при NMF." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "def compression_with_nmf(train, test, n_components):\n", + " nmf = NMF(n_components=n_components, random_state=0)\n", + " nmf.fit(train)\n", + " reformed = nmf.inverse_transform(nmf.transform(test))\n", + " \n", + " fig, axes = plt.subplots(3, 4, figsize=(15, 14), subplot_kw={'xticks': (), 'yticks': ()})\n", + "\n", + " for i, (picture, ax) in enumerate(zip(itertools.chain(*zip(reformed, test)), axes.ravel())):\n", + " ax.imshow(picture.reshape(image_shape), cmap='gray')" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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ZkvC8JhIy7cJMjnAkskDWku09ts/gz7YqL0mOkqMcfd37PdzxXF/4/qWvr2JP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\n2JokfkPuI0Tfpmv8vM+d2zJuy7FNm2K+TXPeKrb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KJHA6ne7sLE87PLRzM+327P3SIyez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x25t0OyQHLmQO3Vy84X8M9kVNSvjtyWq67ROXtrX+Li4uLMIYNL2JQX3jd5u1KfJLle1alsPM+U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\nQvIfeu5OPtfFhZpJ7kgm4dtdvdkTemaZtr2eCDdb0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TgcziTI1O+N6rv6H5LubVmOoXpK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Y/9fsdrvFhug+9QzczrzelX9C8iwvcxkRBVLpJHfUdmgxNj2/0aJbOh/lUtP+o5wxJJXztrc+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\nAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "compression_with_nmf(X_train, X_test, 100)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Класификация с Eigenfaces\n", + "\n", + "Базирана на този пример.\n", + "\n", + "http://scikit-learn.org/stable/auto_examples/applications/plot_face_recognition.html#sphx-glr-auto-examples-applications-plot-face-recognition-py" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще ограничим dataset-а само до хора, които имат повече от 70 снимки." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "people = fetch_lfw_people(min_faces_per_person=70, resize=0.4)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Данните изглеждат наред:" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "people.images.shape: (1288, 50, 37)\n", + "Number of people: 7\n" + ] + } + ], + "source": [ + "print(\"people.images.shape: {}\".format(people.images.shape))\n", + "print(\"Number of people: {}\".format(len(people.target_names)))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Кои ли са хората?" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "George W Bush 530\n", + "Colin Powell 236\n", + "Tony Blair 144\n", + "Donald Rumsfeld 121\n", + "Gerhard Schroeder 109\n", + "Ariel Sharon 77\n", + "Hugo Chavez 71\n", + "dtype: int64" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Series(people.target_names[people.target]).value_counts()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да си извлечем нужните данни:" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "X = people.data\n", + "y = people.target" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "X_train, X_test, y_train, y_test = train_test_split(X, y, stratify=y, test_size=0.25, random_state=42)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека тренираме модел (с предварително grid-search-нати хиперпараметри):" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.86645962732919257" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.preprocessing import MinMaxScaler\n", + "from sklearn.svm import SVC\n", + "from sklearn.pipeline import Pipeline\n", + "\n", + "pipeline = Pipeline([\n", + " ('scaler', MinMaxScaler()),\n", + " ('pca', PCA(n_components=150, whiten=True, random_state=42)),\n", + " ('svc', SVC(C=10, gamma=0.0025, kernel='rbf', class_weight='balanced')),\n", + "])\n", + "\n", + "pipeline.fit(X_train, y_train)\n", + "pipeline.score(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Изглежда доста добре!" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " precision recall f1-score support\n", + "\n", + " Ariel Sharon 0.81 0.89 0.85 19\n", + " Colin Powell 0.84 0.95 0.89 59\n", + " Donald Rumsfeld 0.90 0.63 0.75 30\n", + " George W Bush 0.87 0.95 0.91 133\n", + "Gerhard Schroeder 0.91 0.74 0.82 27\n", + " Hugo Chavez 0.92 0.61 0.73 18\n", + " Tony Blair 0.88 0.83 0.86 36\n", + "\n", + " avg / total 0.87 0.87 0.86 322\n", + "\n", + "[[ 17 1 0 1 0 0 0]\n", + " [ 2 56 0 0 0 1 0]\n", + " [ 1 1 19 6 1 0 2]\n", + " [ 0 7 0 126 0 0 0]\n", + " [ 1 0 1 5 20 0 0]\n", + " [ 0 2 0 2 1 11 2]\n", + " [ 0 0 1 5 0 0 30]]\n" + ] + } + ], + "source": [ + "from sklearn.metrics import classification_report\n", + "from sklearn.metrics import confusion_matrix\n", + "\n", + "y_pred = pipeline.predict(X_test)\n", + "print(classification_report(y_test, y_pred, target_names=people.target_names))\n", + "print(confusion_matrix(y_test, y_pred, labels=range(len(people.target_names))))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Резултатите без PCA изглеждат много аналогично, стига да нацелите параметрите:" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.86645962732919257" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "\n", + "pipeline = make_pipeline(\n", + " MinMaxScaler(),\n", + " SVC(kernel='rbf', class_weight='balanced', C=1000, gamma=0.00007)\n", + ")\n", + "pipeline.fit(X_train, y_train)\n", + "pipeline.score(X_test, y_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " precision recall f1-score support\n", + "\n", + " Ariel Sharon 0.76 0.68 0.72 19\n", + " Colin Powell 0.84 0.95 0.89 59\n", + " Donald Rumsfeld 0.79 0.63 0.70 30\n", + " George W Bush 0.91 0.94 0.93 133\n", + "Gerhard Schroeder 0.73 0.70 0.72 27\n", + " Hugo Chavez 0.93 0.78 0.85 18\n", + " Tony Blair 0.92 0.92 0.92 36\n", + "\n", + " avg / total 0.86 0.87 0.86 322\n", + "\n", + "[[ 13 1 1 2 1 1 0]\n", + " [ 2 56 0 0 1 0 0]\n", + " [ 1 4 19 4 1 0 1]\n", + " [ 1 5 1 125 1 0 0]\n", + " [ 0 0 3 4 19 0 1]\n", + " [ 0 0 0 2 1 14 1]\n", + " [ 0 1 0 0 2 0 33]]\n" + ] + } + ], + "source": [ + "y_pred = pipeline.predict(X_test)\n", + "print(classification_report(y_test, y_pred, target_names=people.target_names))\n", + "print(confusion_matrix(y_test, y_pred, labels=range(len(people.target_names))))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Клъстеризация" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Неща пробваме `DBSCAN` с различни стойности на `eps`:" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 1 | [-1]\n", + " 1 | [1288]\n", + "----------------------------------------------------------\n", + " 2 | [-1]\n", + " 2 | [1288]\n", + "----------------------------------------------------------\n", + " 3 | [-1]\n", + " 3 | [1288]\n", + "----------------------------------------------------------\n", + " 4 | [-1]\n", + " 4 | [1288]\n", + "----------------------------------------------------------\n", + " 5 | [-1]\n", + " 5 | [1288]\n", + "----------------------------------------------------------\n", + " 6 | [-1 0]\n", + " 6 | [1285 3]\n", + "----------------------------------------------------------\n", + " 7 | [-1 0 1 2 3 4 5 6]\n", + " 7 | [1251 3 15 4 4 3 5 3]\n", + "----------------------------------------------------------\n", + " 8 | [-1 0 1 2 3 4 5 6]\n", + " 8 | [1074 194 3 5 3 3 3 3]\n", + "----------------------------------------------------------\n", + " 9 | [-1 0 1 2 3 4 5 6]\n", + " 9 | [779 488 3 5 3 4 3 3]\n", + "----------------------------------------------------------\n", + " 10 | [-1 0]\n", + " 10 | [488 800]\n", + "----------------------------------------------------------\n", + " 11 | [-1 0]\n", + " 11 | [ 287 1001]\n", + "----------------------------------------------------------\n", + " 12 | [-1 0]\n", + " 12 | [ 158 1130]\n", + "----------------------------------------------------------\n" + ] + } + ], + "source": [ + "from sklearn.cluster import DBSCAN\n", + "\n", + "X_norm = X / 255.\n", + "\n", + "for eps in [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]:\n", + " pipeline = make_pipeline(\n", + " PCA(n_components=100, whiten=True, random_state=0),\n", + " DBSCAN(eps=eps, min_samples=3)\n", + " )\n", + " labels = pipeline.fit_predict(X_norm)\n", + " print(\"{:>3} | {}\".format(eps, np.unique(labels)))\n", + " print(\"{:>3} | {}\".format(eps, np.bincount(labels + 1)))\n", + " print(\"----------------------------------------------------------\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "При `eps=7` има интересни резултати, които си струва да погледнем:" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "def show_clusters(labels, limit=100):\n", + " rows, h, w = people.images.shape\n", + " image_shape = (h, w)\n", + " for cluster in range(max(labels) + 1):\n", + " mask = labels == cluster\n", + " n_images = min(limit, np.sum(mask))\n", + "\n", + " fig, axes = plt.subplots(1, n_images, figsize=(n_images * 1.5, 4), subplot_kw={'xticks': (), 'yticks': ()})\n", + " for image, label, ax in zip(X[mask], y[mask], axes):\n", + " ax.imshow(image.reshape(image_shape), cmap='gray')\n", + " ax.set_title(people.target_names[label].split()[-1])" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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gxJVwsomOWsU2DmOpUcPP7bUdvfJvbZ95sbKyonPnznWqm9UYB1Jds4gZjZqu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\nN89VOXup157+rU+hY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xvzfm1tDQ0NBw4LAQc6Pytb0hbUewZ5rtWs416Wzc/nstU/RgMOjZ1oArCngf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\n3/1dksmzz9hQgZvs/rAM5jR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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pipeline = make_pipeline(\n", + " PCA(n_components=100, whiten=True, random_state=0),\n", + " DBSCAN(eps=7, min_samples=3)\n", + ")\n", + "labels = pipeline.fit_predict(X_norm)\n", + "show_clusters(labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Намерило е някакви клъстери, ама не и такива, каквито ние искаме." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Как ли ще се справи KMeans?" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "\n", + "pipeline = make_pipeline(\n", + " PCA(n_components=100, whiten=True, random_state=0),\n", + " KMeans(n_clusters=200),\n", + ")\n", + "pipeline.fit(X_norm)\n", + "labels = pipeline.predict(X_norm)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 50, 37, 254, 270, 566, 49, 62])" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.bincount(labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "Това едва ли са правилните резултати – имаше клъстер с 530 картинки." + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Expected: [71, 77, 109, 121, 144, 236, 530]\n", + "Actual: [37, 49, 50, 62, 254, 270, 566]\n" + ] + } + ], + "source": [ + "print(\"Expected: {}\".format(sorted(np.bincount(y))))\n", + "print(\"Actual: {}\".format(sorted(np.bincount(labels))))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Изглежда наистина да има голямо разминаване. Какво ли ще каже `adjusted_rand_score?`." + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-0.00591538397861\n" + ] + } + ], + "source": [ + "from sklearn.metrics import adjusted_rand_score\n", + "\n", + "print(adjusted_rand_score(labels, y))" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "ename": "TypeError", + "evalue": "zip argument #3 must support iteration", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mshow_clusters\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlabels\u001b[0m\u001b[0;34m,\u001b[0m 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bqbA/Ebm6uVnZehkZs36IZ3G9EL6D3PAvm1ng6FoT9ok69mE4HPbYDLNaZk64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\nM5/Z8RksC/eIQDvCX+dOi+5rj9Vd8+d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l3AF7vV7ymc/jXMFXnz9+nU6n0/SR+7ur/rUmmNgN6Kqv9544LMrUn1s9CcYo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\nP2S0trbW7BXIgPmEdwZ/d08DxoproXf0N9bn5Dus7VyTZyLPhussWS5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mTdYW5yADpjxtwnPmzJmImGpouJ7EwH5mZgpKTnFmBkoBHHzSzadss2KAcpsl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\n2XO5HcnKtvnUy+yGbdwvXbrUyRQZUl9nR0ce7guOVshn27a9/F08izr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cpjULWXFZxkdqsmRrt/SpkWV5vJal5zivjxUYOp1OT3aMWmXRYbJG3xP/bjbN\nyEz63DgGX8OOHTvWXO1hGMq2LKw6ZNjXet9990nqM/rLL79ckvSDH/xAUj9CrxZt6nliOZuVeA06\ncuRI717Qb8oSaWZifk58b+k7M6PzGsGi32wabEzqxzRq7W7YNsqysNXK88RMzGuY2RQjyy1Dy9zz\ngzIvi+Vzznof+ka9RjGynhVKDG/HuAq2ltq6dWtUKAkEAoHAmYuxmVun02m8vWs5CWxZQ+2ZlQOo\nBTJSzdqBI3NmZ2d757B2Yi3LrNBMg1Fu1iycf0UfivejXd6aqbU3/37gwIGJm2rax8VanKxn6DGY\niVkzszbka7TmRm2LEYm11ipltQfmFjIX0X+3XNhIk34DtoqhLZ4MbxxNbTWQiZJR+trN7MmCPEcN\n1rzzddlf4XvFyLWykg0LirOmqmV09dVXS2paMNhWhNU8/J3H835nnXXWxLJl+yvmSvmctnS8733v\nGzi35WlrDmu1sjapn33mt5V+RTMR3wPLvqxLKPXntH3R3o73nLldZL5sXjpJQ80aVmNu9MVbFj4v\n/d22Llm2Xj9pxSjr5EqD9VW5xvhcXoN8Tua70TpHawMjgQ3OJ49x165djTWmhmBugUAgEFh3GLsr\nwLDq96wMzxwGv5WtUTK3iW3haRv29szTOnr0aE+rsibgbazVWJNgixVqEjfeeKOkZmNVVqSwlmSU\nvphJK5S4Th+ZmzVNMldrSbU2EpaF92OdRN4X+p3K39hOhYyLuUO1lvZsiWG5s6ksazJO6xfKOQ9U\nKKlFbzFqk+f0PPK9IQO19m9t2cyEDUI3bdpUZVg8N7VWbsfqKv6d7Xc8xlo7n0lRdgXwmChf1r8k\nm7Lcmfdm+bJ2JytjlGzXx7QVh9YWMxU2P661XWFUJPPFWEmIuVzToGxqy5wv5kPS72uZcR7VtqcF\ngNdZ5vsxOpj3kZVGmCvItcjbcy5ybTLGsTYEcwsEAoHAusPYPjepaXelrbrW5p5Z6NyevZ+ocXj7\nssIAK44wioeskhoFq9UbrO/n32mn9nGnyRkyc2OvMdZ8JJgrUutgwJ51tV5qpUbKaCWyavrYfG76\nHb0f/X60tfNavN/mzZun9mGU95Yyob/Bc682V6k117R7g5HEOeeqz4DRd8zTqjWK5VjoY2O0ZFmF\nZ5p+bmUlG8uTmjrrXY6Cr4GWGF6b55PPa+ZX7suIXd6rWi3JmkWDebhcp9baJHgt6HQ6jXvDqGEy\nUPZzY4ep5M3AAAAgAElEQVSLMr9Rqkd5soJRq9VqMKxS3uW5+KzyOWKfRMZt8FoZMT83Nxd5boFA\nIBA4czEWc+t0Ojpx4kSjQrpBmzU1Tb/dqbWzAy6j+JhrVNbQ8zHJWqit1lrAUwsgS6Qm6e+O7iqP\nP021h+3btzciz8g62e2ZkYjeztdE+7f9GT6OfyfLLaNQrWGRIfsYlqu3I7Op2c7ZmZkV20t/07Td\nFpaXlxuyYoUSMgJqnGT6rMvJnDT6SUotmD60mpWBsq91pSYjoc+H2m+ZzzhNDmF5XbW+XOwm7/vL\nWoWGmZojGdlnkX7Ekm15GzIVdlP37+zU7c9axXteI+U+bX5bCfd0K88zinmyYzuZK7tKMLfMoG++\n7OHJKFVGAzPy1FYnPz/M6aTMyNBr8QFrQTC3QCAQCKw7jMXccs46ceJEQ4s3aD9l5X2/1Vm3jzkN\n7PFVq8De6XQaLI/VHKwx2l7OCLVadZRahXVWNS+ZzDT+i1ar1fC11SqV0E9EpsYoKcuEeYjMWSu1\nbvo0KCfee25HfynZB3v1sVp46cObRiPmnKVPjVoqa4fSD0bfG9mw5Waw7moZTVqzYJR+3HJfRp5S\npp6bZGqcJ8Y0sjUjpoWEPQJr1ghG1dbqnNK3w7laMjmySD7DHBtzHbk/a7rS18ZedFyLJkXJ2spr\nNGq+NzI7zlVvR+sDa4/S4ub1SerLzgyO3R64dvs+04rE+0erAq2DJZOLrgCBQCAQOGMxNnMr7fR+\nSzMz329zRv8ZtBnT12aNynZcaxa235bRlYwU8hhoR6ZmQSZXXqPUZHbez7kz7O+1sLAwsf8i56x2\nu12tzMLq7qxUQG2IzLnGoBntWsqf/h1Wa/AxXG+vVm2ffkLuzyhL9s+b1ufW6XS0uLjYm0uuKOPz\n0A9BPw1r4Xks7DHIrs613KnZ2dnefWUkqmXFnEwycjI++o5Yn88Y1qNvUtnmnLW4uNiIwGX1FVoJ\nar4XgyyCc7T2vawfSn8wWQB9mzzmMIYr9eeOx0YG57l9MvLcSobC557rKnM4admxdYFWKK6//qR1\nanl5ufFcsIpSrZcdrUMG18phVZKGbTfOehDMLRAIBALrDhN1BbBGwdwkf7KfGxkF3+7ez33KmO9m\n7Zo5ZqU9ntvSVu+xMLqSlfEZ0UlfHqO7ymi/SZlbp9PRsWPHenKjX4hyYxQUt6tpNvRzeX9/LyOS\nKA/mwPhYruXJqFKyBsvGcrR2SL8Rq3Ksdj1rRc65wVoN+lfICOhvoU+RUZLUOHnP5ufne7KjL5Ud\nKBihS4bO3nMG8+DIhsr8rWmYW7vdbtxHRkazGzitDaxRSrlZVszpGuYn5m++XjMXRk36k8fi3Ge/\nNPo2zVpZEWha1CrLEIzwpr+SOWi1dYV+c/9++PDhXi1eR7OaJZMt1iJK+fzQP0mZMzqyZJ3B3AKB\nQCBwxmKirgCMgLPGYs2IzMAgG/Kna0jSH1KrKG9b+fnnn68HH3xQUl87M7OwHZxVHFxZgxqGWaNB\n7c/XSG3O55nW57a8vNyw1ZOJ1eog1uzZ1uitwfl+mQGzRmEZ+VmLdioZldSs/8kx0WfJ6CdWeeC1\nn4xoyeXl5YbvkLlNPC/za5gPV2Oe3N4oe7XZb8sKGDWrgsHnqsboyejIpmpjHAdmbry/Prbvq59H\nP3f0zdY6mdsi4OOMYgBLS0sNf43l5TnqXoGsnl/Ly/U99n5+jvzJaGRGf0+DlFJj/TP4vPM++rq9\nnvr66EvzOkKmxvquUr+zgO+L56CjJr32G6xowrxEzvVajiZZ6Th+4mBugUAgEFh3GDtacnl5udr9\n2hoMWRH9GGRDNZu1P2k7LyN1yOqYX8Nq4zUN0lqMQb8FmRq1xGngTty8llpFEmqGrAri/X3t7m9F\n34zv47CIP8rc2q+PSVbOSjCsqlKrcMIcI17bydCCO51OY06RZXt8/J3j9ly1XMo+bVJ/ftV8iWXd\nztr99N99Dm7nczBSkTUleTxe88lgbgStMwaZvUErg307tqS4N6F95oxWtkwWFhZ6zyi7aNh3aSsP\nO9l7O/qcyNLpE520f+O0YG4mx+v58PTTT0vqP4teB9g92/eEFrSy8zfXoieffHJgLLX6lgSfL64H\nXMfpHx1Wc7OGYG6BQCAQWHeYyOfmtyvzSqx9UbNg5+eav4UMguyJUZp79+7tHcNaB+3e9DeRFdEv\nwQrfzGHhdj7uyaiByEi8Wj6hQT8PI88YHWkm8PDDD0uSHn/8cUl9zc5a8qFDh3pysbbnfSwPb+tP\nj9FaHyOzar6uUn4lTlbEmRkGIwcpW0Y9kpnyd373p1kVrRTWppeXl3vPTS3Xz6B2W16T1Kz+wvqN\nNf9F6bOZdM7OzMxo06ZNjftKDbyWt8Zr87yyf8u/M8KRvp2yOghzrnwvfG52EDAL5Nyjv5X3kr7Q\nWj3NaVHzuTHfkX4rP4Psgs0YB/Z9tFzYm29xcbHnp3cOsyNH/UmrEZ8f+odZO5I5ffTxl++U8LkF\nAoFA4IzFRP3cWJGEWizf4tRsyKL4O5kaNVJrJjnn3v/NMKyN+JPVPMjshtUyLM9l7Yc90KixTsPc\nOp2OFhYWegyKWgzP6THXOjYbtUhRMziyKjO5VqvVYIWu0n7hhRdK6ue7WKOr9cOjpkYfFK+BbONk\nMLjS2sCqIGTFtehY+n8N5hR5Hhr2QVjmBw4c6M0lb0sN2/fJkWg+hrdjdwz6XNhlgzlItdqw44D+\n91p1j9qc5X31c2wG53nlOenjmDkwmnn//v09Jmb52G/HHCqDPvzy2qTmHKDlpOb7nqZzvNSVYXls\nMrda9R9GifLZtIwd+ch6p64AdfHFF0tqdtcuj20fqOcwq/zXaowaZJ/DekpKw60X4XMLBAKBwBmL\niSqU1PoXlX2iyt/5lmZ0HzPkbVev9WKzhnb8+PFG9j21WTM4g1qttTP6UtjBgOyIlUy2bNkyta29\npqHRt8JrZsQhtWdrYNZ6raFdccUVkvraspnB8ePHe2NxRBU1MPpAal2Na1ov/Uben3NnWtiXWesR\nSAZOhsF8HWrllq33tz/DrMDHMwNZWFho+KX8vVb1gX3IyCjo/2XEmY9DH9I087XT6ejw4cONDvf0\noZAh16qymFV4rOedd54k6aGHHpIk3XnnnZKkl770pZL6lgT7fJ566qkei3jkkUd6f5P61obLL79c\nUv85YBUUPjfsPUf5MfKvVoFpUtQsQZQ1a/B6PGZXtWhqVur39n6my9+5Rtu64Pvnee/7yvWSvjN+\nr80LrgPjyDaYWyAQCATWHSbyuTGqqxYNaS2XWrJBzYeVw8mOGMUj9ZnFY489JqmvKdf6sLEKOXth\nMVeG0XxkUdTmJsHMzIw2b97cqEhSq9pPUGNjxBEjl2hrJzsrfVT0q7K6BXMZaXunvMjmDVaqKCNG\np2Fx9l+QLfG8ZBbUKJmrSR+itV7mFJnBlTUtrRlb+2XXB/qDWS2m5kMyuD2ZhjFNbcmZmZne+Mtj\n09pQbl+i1pPOjM3+RuZPWSaWr5/7Rx99tOdj8zHtO/KnO1hY/oykZu4ca67yWmrP48mwOpQWMt4j\nVgHy3KqxIF+f5yjrqfp3Vvo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t9m+ywCBD/PHpr2PUOO+NN96IiK71K/vPcm1bs93OeUFxXe5pq6StFFmOzmTj\nc3N2pHxeieHK2RaxNJXSpPI9R6x9WE9nZY5zwWgzarb+zguKFjKGXHhyVpyV/atz7EpEl4Wx9crx\nV5k5d4zCUTFofp4PS40Lo2NLpmPGFh37WNDNCntcZIuxLe5HlUSwVd+lL7DQ3b17t6NnpWKbjHEs\nqFzDcTVY/fb29jqMo5kbs2LzAq8LZGcmYlY5EbPVpQyVjlmx5dSlLobD4SEvifxbpxg3g+PU8c4e\nl+NeSunlrU/zAuaF505cqmWcx3NeSyOm61cpbbNla/3kmNNxO5PjrLjDfCxlec2ydxZZx6Wwzi2L\n0bp+/Xr7zN/5znfO7E+e083OlcaV1zanqUcviVtZWVnpxDNyL++jeDYubF5K1X3y5MmOxwjXYMxk\nNmaRtWo0GsX29nYnZtfyyjFtZltKcVT+7DXf6cbv379fZMWt36WsiLSN8ZOLkNNOYri5L3MLnxeN\nJY54oEeMF+A9Xma6Zs0JGY6b9J7U8VUwnr1er9Vdx7SbyfO6RJvYy5qR3NnZ6bC0wOzdcdf+ymhV\nVFRUVFRUVFRUVFQsGcditEajUdy9e7fjN1qKw1pfX+8wWKXsT7MK80Z0/d+zdRnLCW+hjp/xGy+w\ntY3fYVHa29tr74ulBatBqXbKIphV3LWUeWxWLZ2Sdb5kVeBtnD5lCz3X5zuYK5411hKsBvahR7b4\nm2eLpeuV0TfHUi2aJYssObTJ1n/r7fr6ekcv7QtvBstZBq1LmYHlt1gPXXeDe3tccQ/qgdlylK/l\nei9mmxeNexsOh3Hz5s1Wd0rZlHL8nePESrGEpdhKW7myxdQFpLH4edzaT93WbR9XVlY6zLitxPYf\nnxfEsSFT7meGJeuk2b1StqZ8j3x0TTKsgNvb250sVWaBeOZmspwxz/UVZ9V8cqY1sGj2QWJe6QNj\nJ9chjDisp2ZXStnEbM10DIDriQ2Hw1Y/6SdMCFnrjir8XYqDGw6HbR9mzQsP+/9xMRwO480332yf\nd2bVIrpx1qdPn+7EQZRqX9FP1gCzJx57OabR8S1cg6NjWDx2GMesdTlWFxxVk2sR4CFU0gHXolxZ\nWSkW+PZ84Fgf161yJtft7e1Wno7985xp1tX7Dtb+HB9M39Ahx7xzrd3d3YX0FZnmDJi5bWaGZq39\n3rOWahbay4p2M6fmeHoz9eic966OZXSMdY49c1bNkrfDMvII3L17t7OPdr012rq6utph8hwfCbxe\nOf7PY3x6dGuOAAAgAElEQVRnZ6fjIUQ/Yb1cj9Ixx7TXrO7+/n5Hl603ZrYfFZXRqqioqKioqKio\nqKioWDKOHaO1s7PT8X+11SBXsy5lmAOlWjHO8mFLSK/Xa99sYV24tuNInOHQb6uz4nHMpDl+BCzq\n/879eevOVoGMnNnFcVH2xeftGwaJz8gDi/Rrr73WXjPigYXAVr9XXnklIqbWAlseXRvKmZOy1d+s\nEO3mWsvIOBYxtcDYlxw9sE92lnXJKuSYQTMFfI/F+j/+x/8YEQ9k7GxA/IZzkZnZIWRI3B7IPuKl\nTECW6aJ1tAaDQfzwhz9s9ZM2lWKDer1exwfa/tfAMRcckZsZg6ynZgn5zQ9/+MOImMoUv2zPQ4xv\n5peDg4PWgmwG1tkT0f15QQ09W8fMjmZdtFXZLGipDgg6Y593dPDg4KAji2zpz/12ZlHf2zGxnBcR\nndqHZo6XwbzeuXOn1VNb411fbGtrq5Mt0bGTtN8xlsBrV/ZKcAwG8r5+/XpETMcpbTDT49+DjY2N\ndt5wO2yVXQbzmuUErJ+sAZPJpKNDtn4zB3AeOsU9kKHZ8JWVlY5V2fdiTnAcoNvrubJpmrh06dKh\ncwH6icxZBxfBZDKZ6Z2Q90/5c7/f7+xdPN7NjDjOFBbW+6t+v9/G4NmrxixLqbaYvSuyN0upthnI\nHk+L7Kkmk8mh9cVZLz3+Dw4OOvOXdc9rp2N0GdPI3nvGiOl453/Mv1wD2bL2wMjRbsfT7+/vd56H\n909m4OYF3ixuY6l2W7636wUa9rJCB5EX+oKeTiaT9lz2r9zDnlHWX8Dzc6ztyspK69XG2u4YU/YR\ntPNRURmtioqKioqKioqKioqKJWOurIO89dm31bVR8hsu1k0zQ87yxpsw1ineUm09zdeGPSj51NuK\nbauGs37ljC7ch/bYH9aWr+Oi1+vFxsZGPPHEExExfZO2RSCzM1jssAKW6iVwLVvuOJ8+8ca/t7fX\nWnGIIYAZ4E3ecV1YXrgX57l6/N7eXitnx+uZmVvUAjMajWJnZ+dQfbBZyFa2UpZBW+VdVZzfIa+r\nV69GxJRZGQwGxQxDPEesqM7IZCucs/M1TdPKm+fmeC9bkufFwcFB3Lx5s2WymANcQwRMJpNWP+mX\nLV/I39lAne3K9S6yHz81xuzbjUUMWXKea8c5Y+na2lprrXr88ccjYmrN4jfAWZiOC2IJXQfQVnww\nGo06vvroEP21NY/nw7hFT63Pa2trHQbHTA44qoags5Nl3fB8AZwRdF5MJpND471UZwz53blzp1PT\nynWhkB3nOROsM1TlGGDHynAt5gfL0qyv2YOcWY/vXHfJzMiiWceI0eLZ4BFgi3/OgsY8iF66Pg4s\nALrl+Dhbz3P8F8/QrBh7Bcavs6+ZLeQ5Xbhwoe2HsyQ7Ayn6S7uWATORYFaMaimjpOdWxrLXHuTu\nWK3BYNA+M8dglZhSe1M4Gx9yP3XqVKsjZs0d5/eOd7yjM56OA7JS8nzMRs2qX8UYLMVLAWe74xmg\nZ9wTeZw9e7b9+9VXX42Ibu6BUnwueoY+cswypn2c6zW/pFfHBbHEmbHO/TRbmbOtmtH2vsnrNeuZ\ns7Xm+FdkwDh3nTfHd5Vive2Zt7a21ukTDDZjgc/eCxyFymhVVFRUVFRUVFRUVFQsGcd+1c1WdMc8\nmcVomqZ9+8SS4hpWnGtrgdmXWSwH9+Ut2NnAXLEaOP7JcTf52vY3Lvl9L4Jer9cyBa5hgZywgF69\nerVYAZujLQy23vutHYvI3t5ea5VxjBYyK7FOtq44din/xrFktjgsYtHi3tvb220fsJ7TRlvisp82\nuoS+up4Dz8G+w1i1XNOiaZpOTBKydEyBLVGlGnNgfX29ZV04OqOm49PmBWw2euoMWY6tzEzBrMxB\nEV29RU9t1cbiPCvzGM8p+3Dne3pMuPYJ1yQ7XT4XRo52OIMaY3VewL44Q54ZCjAYDNp+oocwVH/+\n538eEd34FFv50FN7EqyurnbiPMwSmp1x5lHHjYCmaTqs7Kzahfnei8KxLGZBGHu3b99uZcb/GDOl\nNchWZ/eb/58/f76T2coxrqVaN6U6STle0F4e1k9n2ZoXo9Eobt26Fb/wC78QEV0my54JV69ebfUR\nbxPL0nGX7gMyhD3j88bGRhs7iWxgq7GKu/6g1x3Atfn/5uZmZ841E8pndGARUG/M7K6zpuWYILNF\nwCwseu7adl6L+N3du3dbuTkWkWuaeXdNKDNgPPNc79FMmuNoTp06tVCMFjU0WTO8n/L+8s6dO+24\np9/uJ/1nzuWz5YD+5RpY/q33pJ7PPQ7QDcfC57pnPFN7wNjLZV5Q75E2WPe9LrzxxhutLJApcnc9\nKtels35mb6uIB7KmP/YSMMNtPWbsMpc4H0Kv1+voCefQZ9rDHPSoqIxWRUVFRUVFRUVFRUXFknEs\nU1fTNLG+vt6xjvNGaPZlMBgcshxEdGOdbGm1D2vJX/jEiROtdZ3vbJm01cxWwhyXwTX5f8laU6oL\nMi/6/X6cPXu245PrOIdsPbZ1k/7+5Cc/OfTZFk9n1eL32VqYZZDv6xoFztRjGbq22traWif2xLFl\ntnLPCzKPwbw6lsK1hLa3tzsxK86GRf/JdFOqRTardg39ed/73neoHVh9GBu5RkY+DwvOrFp0jC/a\nY6uNGbZ5cXBwEFevXo13vetdEdFlW9At5LS3t9epkcP4dFwKMnaNLixoPAtYu3e9612tNZpr//Sn\nP42Iqd+2rVmZZcif3f5+v99h58x6LaqfYDgcxo0bN9rrwRiU6njt7Ox0YrKuXLkSEVO9RJbOwORa\nV56/VlZWOlk5S3Fe6JJjsFxvi+utra11vB/MKjvT1yIYjUYd1tHxj1hQ9/b2Wnmjb/TXTKz1obQ2\noKfvfve740c/+lFETJ8PMnRWSMfcuLacM6Tm8ecY1FJdy3lBdjxkiTXXdRDp46uvvtrOA/SXcWnd\nsbeFs605A9/TTz8dly9fPvQbniX3KHkKoGt4bXg9fOyxx1qZ5UyZEVO95Dksg3ldXV2NJ554Ii5e\nvBgR3SyRyDV7BtgTyMyoPYT43tmE0S/G+tmzZ9t5Bjm6Tp7rXJpt9R4GzKqNxXNlzJWy1x4X7FEd\nn+4aV8yTr7/+eocB4Viq5cS1HK/nHADPPPNMO1YYD8TB+dmaleFaPB/uwed3v/vdHQ8dZ4elHfxm\nXjRNE2trax1PC/SAPiDTK1eutEy2aw1aTz2XooOOLacv58+f76zdrv3q52dPGccxs088c+ZMJybO\nzxQcV6aV0aqoqKioqKioqKioqFgyjs1ora2ttW+UWCVcF4m32DfffLO11mMl4U2Xt07eZB07UKrQ\nzpvkJz7xifjwhz986Nq2FhjOxMPRla1Pnz59yBob0bXegEUtW6urq3H58uVOnJstTjlG7Hvf+15E\nRHznO9+JiK611JnUuDbWBK7luIjLly/HBz7wgUPtw/8dxsCWCGccwoI2i41xlqxZdYIiFrduEfuC\n7FyLwv7B6+vrbZuwyjjej6xBsIa5mvjD2r65uRnPP/98RET8rb/1tyJiKkviGEosoTN1weDm6vY8\nQ8cQ0ndb9OcFGfLs1zwrFo/7cg5WPfzmifsz04V++rkx3/zSL/1SREQ89dRTnVpbzmDomBzmG2eI\nom0cc4YsW4fN3i6aIW8wGMSPf/zjlgHh+aNDthxGdP3jnU0Q3fL8CjzWGKfnzp2Lp556KiKiZQwc\nV+NMnHy27BnXOXsmfXHtFVsQF7W+MvbN/np85CxY6Bl6WMqI5Zp0nuPe/e53R0S04/1973tfp24R\n9zBr6bqNZlsYdzlro5kD6w1YlIHt9Xpx8uTJNjsqOuhYYdZhrPcR0zHjWA2zBWa6HKeaWcJf/MVf\nPHQ/ZwXl6DnJ8ZqO9VpZWYn3vOc9h/4H/HkZMVqrq6tx6dKlltFyfTAfB4NBK6eSl4D1DVhnaT9e\nFi+++GL8+Mc/johojzwjx2Uz79nryPU7c8ZIM9ief/Kcusj63zRNrK6udvY2zoqb1032pKztrulG\nW+2RA5PKZ/r7sY99LCIiPv/5z7fP9ktf+lJETLM4M1/TLtpjdsyZvXmuV65caf/HuPSYYS5dtN4j\ncW+OafTYZdzlOCvXDSxlWQWeF+kTcnzPe97Ten6w1jlbpjMc8twcv+i4sO3t7Tb7N3ste3h5TnlU\nVEaroqKioqKioqKioqJiyTgWHdPv9+PMmTNtLnksGKUq37u7u+0bPFYuV8S29d7ZoszKYBX/6Ec/\nGi+99FJETK0DxCtg5bafq7NpOVtKRqkWgeN8Fs2QRx0t7ufrOv7t7t27bfs//elPR8T0OdBvLDRY\nZvg/Fir7aWPx+OQnPxmf+9znImJqMeMaMDrOHuPsjLZcgf39/faayBs9Mnu4KEvY7/djc3OzE6Nl\nxgDrUb/fby2DWPN+8IMfRMSU0cNqgtXGFnmu7XomH/nIR+I3f/M3IyJaSyz3x0qLZcWw5ZCxwzO4\nePFia4ExU+GK5svwgcf/PWL6rKyf2ece3YF5/f73vx8RU0sUR6z01ObiMwwBcsqsr326XYPK/Ufn\nkKGzaaILJ0+ebNtBPBr355m6Vtm8IJMTMrPV2ZkBT5482TID6CX9oU1Y4tAd1woBls8TTzzReghg\n5XZtEz6bdXJmVs+duS+cY+sr7VtGJsf9/f1i7UT6jYV0a2urHevoBNZWPAWQsVklM7ZPP/10REQ8\n+eSTEfFATjwP9MvZWnk+XMOxsbZk5xgvz5+WXck75LiA0SJGkefveDdw4cKFdr5kPnXNG+YGZMi6\nTlvNHiPTD37wg+3fABnbCu3x6Rg7Z0+8efNm20fmHtdjol2z9gzHBWs/MrDXjrPHvfbaa50amswH\nruvjWDLfA3l/6lOfiogHaxO69t3vfjciut4AvjawXM3M7e/vH4oDjyjXI9vf319orSIrXSkmjD1B\n9rqyLr73ve9trxXR3S86U6YzJ7Iv+/SnP91ekzHyta99LSKmc4ozMPPsnemWayPb27dvt+0GyJL1\nZFl71NXV1bh48WL7zMwYIVP0YmtrK15++eWI6OopR56PWcJZGWsjIj70oQ9FRMRv/MZvdDIXso/g\nObnel/eVfI+8+Ly9vd3JEulxYwb2UVEZrYqKioqKioqKioqKiiXj2IzW5uZmJ6e82Z5sCeFvLO9Y\nS12LBeuHrVDOOgQr8MILL7RWGd42n3vuuYiYWnt5O3Y9AVs7bam4f/9+2w7Xz+ANm2svGqdBLQ3X\nRLDViM/PPvtsy+RhfXOWIhg+WCj7BQPkgiX2s5/9bCtfrATEbWDVhxUzc8PzKfkUD4fDTnafoyqx\nz4umaeLEiROd+CHXmcA6fPXq1daaTft//dd/PSKiY5HCqo+FFl2jT8iJOJePfexjrd+/65YhW9eR\nsh+7M8TlbF9YOO0/7fiRRWO0VlZW2vGWr4cl3hXcr1y50sqU74hdgTFC75yxEr3Esojlnj7du3ev\nE4fBb5lnaFcpa6kZdNqwvb3dWhuRLRZ0LHeOqZsXJ06ciGeffbaYCdHs8O3bt1v2hef9a7/2axEx\nfc7MAcje9YxgQ12j7D3veU87r9Bf5gvYCXTfTJvXAZAtwvYecLxHrue1CMiQ53glM3iM/Rs3brTz\nECwGQDfQVz8ndAzmk7mTewyHw9a6jF5yX/5vxgvZOpbBMaN7e3udeIFS3b154wpA0zSxsrLSeb5m\nUXner776aquHjF3iSOg/MjSbzZhynA/xmY8//ngnzojnZtYJGaIDzCfoHuM51+qxdwXjDP1hnl9G\ndsyIw7V7vIail7kGG/d94YUXDp3rWPecVTOi63lCHBEyYW8XMZ2nmRvsjYT8vO9zjHH2OnBcuBkb\n9Hxvb2+hPRV5BMw4eh/HmDh//nzLQGWvhtx+Z7V0TDFApp/5zGci4nBcOnr0/ve//9C1uZYZXM7n\nszPQnjt3rhOT6P0OY2tZGR3NZNmLKWdyZC/+hS984dA5rEMc2T85GytHxuiv/MqvRMQD+aHj7LGY\nW11zC330fMHRjPaFCxc6uQecO8HeYI+KY79onT17tpMAwY3hwZ88ebIVkF92WDhYvBE8ikeHUTgm\napT54sWLnQWEh8IG1u5FuR+5vRZav9/v0K5253FB4XnBIoY8THOiFPR/bW2ts/F2W52umI0Ti55p\ndAbF008/3XE14v781unDPSmans1BrugA1/Im2MlV5gXuA7NSrUdE56X2scceazdJLkTHYu00tFyb\nwY0MWaRyetCSmyXXRB7ounXKKfNzIUsobtrpCdqpqufF+vp6PPPMMx03MQdEM2GePn26dUvhuTt1\nshcuJlCeAe5ds140LSOn8LcLodPF2v0rL1LMH7nodD4nu0YvgpWVlXjsscc67jOlRDP9fr/VM/fP\nhTgZS34p4F7MJ2y0nnvuufballFOFJLbB/wS6/kVF6l8DY8Ju33MCzaMdsP0GEIHn3322fjlX/7l\nmd+hn8jUqehZ4JlH7f6d/85pmSOmqfx5SUMudldiY08baNvNmzfb/zmduzcri86nJBhwcgC/lCCf\nixcvxhe/+MWI6CYjoT9OJmR9QE+5BzLOazXnop/eAHJtu616jc1GKc7Nbm+5z4w7F1adBxTytlGX\n9nFEz5566qnOGPRmm5chjCR5Po6YjvdnnnkmIqYyGY1Gh8ZrxHSOwG2La+MO6iRBPuY9A3Kze5vL\nTxwcHCxkGMBwbRdP7o+xhJfIl156qZMenXWIlwAbL9FFZMdY/ut//a8futdoNOroPWsaIRqMAxJx\ncJ4Td9loMplMOmse+u8i1cswYOc9sV3EeRHl+8985jMtoeKiz048gpEGOXjdwhiLYSHvf+k/zyMX\nc48ol+HwHjcbtj32vOea1w2zug5WVFRUVFRUVFRUVFQsGcditLAW2M3PbmS4Sj3zzDMdiyvWArvn\nAFwIsHxgecBqgHUnWw1pB2/NWG/4DeCeTk9sS3V2OwPZ8pN/syijNRqNYmdnp2PJpC22WuR7myp2\nmvrsFhQxdWszK5HvxW/5judmt0uzUlhRTLnmIEezdA7U5Z5OSX1cELxtJoS2oR9YU3L6WVtFnCYa\nixRWVOhrLNUujjkcDjvWKFtt7DJmt0tbbDJT59TApXTrLsB5XKyursbjjz/eKeZL3xwYO8vyY4sn\nukabeR62XjPf0O+NjY1OUgV02sUznYTAeuoilDnhh9lBznUin3nR6/Xi9OnTxVIW7svp06c7Ra2d\nFtxzG/1HT2BQsFZzPHv2bDsuPffZZcQJV8wa+nfZle8od9hFsbKyEhcvXuwUgfUzRaYrKyud0h0u\njQBrzNqFfrJW0Re+z+7T1i++cwILjxe+52iX7Wyl9nxBO1xodl44ZbYZMieveeqppzrFd+l/TkKQ\nj3YV4uh1Ns/rnk8Yp06RzfyBjtltLY9ju265oLLZp0XR7/c7aw33NguVGRJb6xn/rEcwCswtTrBh\nb5+maTqp9zkX9gl2gSOuYvzODCp6cfLkyQ7riFxJOAMDNxwOF2a0crIes68eP/1+vzP+mRPZN/nZ\nl+ZnjshjZWWlPdfjgHkYtvDFF1+MiCnjQ7iHxzaf9/b2isXfGe9Ocb8IxuNxJ/kHskRO6FwuGI8s\n0BVYQuYB5ulPfvKTETHds5tR4nnlced1yUnvaKfZ6VJZoV6vV/QWA/OO+8poVVRUVFRUVFRUVFRU\nLBnHftXNPsX2cXbcQ/Z5dgAaR6dudvyQGQXQNE2noKcDLolNol1YapzAwD744/H4ECORf2vrgeO/\n5gEB3Pm6Zoqy/7YTThwVSIlFit85IJ3nubq62pGz4xK4VskH14UpM2toWbmvLiq6KJyW1TEF6ORg\nMGjb4IQZJWYRSwysoZ+Xk0Nk8HzQcccw2YfYsTLIdjAYdGIIzEbwvBZlCYFZYOA4x5xiuxTXZp93\nyxhdQl70O1vXnTzB8SKeT8xIu6DlwcFBJ17ITKLnm3nRNM0hC5ll6kQO4/G4k+bXBYDp57PPPnvo\nmh6/yDoHW9tS69IWDiR3YLvPy3JzzIHnnmV5CFBckzbZamnvi729vda67vnH5TBYqxj7XKuUxCbH\nNVi2LgJLe1wk2zGW/D7H9rn8A3E5tGNRtpAYO8fXoTv8H3ncu3ev4/ViBobxxm+YR5Gt09zT/1On\nTnXG3axyAhHdOC+YSQfLZ4bWbK3nce69LEYrousFQt8dZ9jr9Tox0PaGcLu5ttkqrxurq6ud+DTH\nLMLgEsMKK5PjhiK6Op1TtqOr1ou8ViwSU0jBcsd/e97JpX+87jgBhdfW0t7Qa8tkMukkT2AN9zzE\nXpU4WWLGzbpmZhhZ8ryIKaXMkWP+5gUx0U48NcvbKuLwM2RvA0uIJxRgPUK3uJaLH+e1d1YMcD76\nOXIPP7dZSVccZ2vPF3BclrAyWhUVFRUVFRUVFRUVFUvGsV7LJpNJDAaDTvwNb7jOfjcajTr+kwBr\niK3dpQxxtpY0TdOxZDlDnq1qWA2IBXFabY5bW1vtd7ZqljKvzAvi3uwHjFUSS1qOOXFRO2cJcxpL\nZ+CxVWeWVd3xVFjKsci4uCxWA2fswgd/e3u7/c7WLKxty4opiDhsTbIlw37TZH6cdQ5H+o8lCkuN\nLRuORVlfX+/4G2N5xuJaKgRoyybW3hy7xLVgf+yHzD0WLUMwGo3i7t27nWyTHreZ5Xbq7lKxP1t0\n0YNSvNl4PO4w4GafHG/kzEzAFuD9/f2ZbGzEVE8Zm8wviyD7hTtrnONC19bWirIDZpNs9fOcAWZZ\nkpnX0SHmHc+JwBmbMqNlS7YZLDNe84LMuKDEdmSdtEzRiRzHNatf6KnXnxwj4ELaHuPOilbKhun4\n0tOnT3cY+1Lh2GVkHVxbW+uMRzPWOdbIGX1dVoA1mN86hofzZ5WQMdPrDKtmvNgPIFvHd86Sk2Mh\nLeNF51Puu7e312EtbE3P7L3nUj8D76fMxHkOznJF1uiYs9WxJ7Ink9crl3IYj8ftXOk51AWX9/f3\nF5LtcDiMmzdvdmKF2Yc4Q+pkMjkU+5vPMYPvuGSzrY5hPTg46LC+yDaX7MiA+WGv6n1Jjr9EdjwX\n2uf5bBkxWjk+0OPF3iWrq6ud+HvvBZwfAJmxTvja+Z6Ot/U+188B2ZNxEnjvsre318oXfTUzOi8q\no1VRUVFRUVFRUVFRUbFkHOtVdzgcxp07dzqWS2fmyTFatuTZ4moLM9YBH33PbH2y/z0ZTijYa79L\n4otsXeAt9tq1a52aYCXr4aJxGuPxOAaDQccKidWY/maLsFku2CTXYjFDRIZHZ3zJVgXHFLiwKdf6\n7ne/GxFTC8wHP/jBiJhaD7GGYam8cuVKx4plhqvkDzsPsn7QJ+7r2KfNzc2Zdb8iupZAx1NRB47a\nIsgexnZ9fb1tC7JxYU0+0z5kjFUOMBZ43gcHBx0mx9ZE11uaF1i1bXmyjmWWuxRvUyr+7Vo1pcxl\n2ULnTJvWXzMn6HPJyn9wcNDxE3dGv2Uyr5nRKmVCzEyCZVCy/vr/LiLqOQS5REzHY8li6fNstQTZ\nyu6sjw+rD7MI8LowK+jaedmyXarxZUuwZWj2zcwXdZIiytkvWXP4nra47pcZv62trXa+cFZEr8eL\ngn6Y0XK9nlwYlH547fXRDEP2MojoximdPHmys88wO+i12jI1gwwODg46zAvP2u1ehmxHo1Hcu3ev\nnbscR+X4ovX19Q6bZO8ij59SrLeZwslk0onzdKZIQHtdW9LHrON4XiBf16rKNesWYbTG43Hs7e0V\nn9es+n20if2gY/usV+gExeBpLzGcuZ6VvYd4xsiDfpOx0zkMzBbT1tu3b7fXYL/rOOxSIfl50DRN\n2wbHpLmo9+rqaid+y54lnkucldzZhLPeOycER49VzxNcy3H1PKNbt251Mhw73hAcV0cro1VRUVFR\nUVFRUVFRUbFkzPWq67c9v7XnDEr26yxZurKlLiLi6tWrETF9S4V9cY2TiOkbNm/23//+9w+1g3vC\nOmCJse92PvJbvx1jpXHV+UUwGo06ljxb5Pn+/v37Hd9pznVGJz7/9Kc/jYiIH/3oRxExrbWRmRHa\nYcuJ654ha3yL+R4rEL73yBy/2L29vdZ6Y0bAFvxlyLTf73fi+rCacD8+37t3r1NvCCZuVnxQxLTe\nxde+9rWImFqRX3rppYg47Cdcqnvmo7M+YblB55F5ZoKwZsMWeiwiY8bVvKA+iS2kPH9nnMtjyGyt\nrdgc0Qu31Wz2yspKx7fbfvQ8D2eTBLYEZ4bLmd/47CP6My+cdfAoNifHE5TqUrmWip8/45dxmWP4\nSplPS7E/ZvRsLc79Kc33HqPLinmlD9zHYyp7VDhuxUyH5cKY42hWOdd08zzueAralWsO8dv8O+SW\n61B5DnYWXbOHiyCPD2dbc0bBjY2NmZboiK4ni2tdUT+Iz9TV4TpmV3LbuL+9UBzTYT3Nazy/pW/c\nj/Z4jV0GSjrqzKmnTp3q1AssjX/ayTqFNwtslTO/5mvyP/QLPXdtQsfBen3Ldd24Bn2kPewJZj3X\nedDv9w+tU8jBzzrP3eyDzFjZa4k2/uQnP4mIqVyoc8YzQG45Syxjkz0qcmAPyhhm38s+xOMkz5P2\nTqC9zii7DEYrZ6U16+vnnuO5XHvPuk3bX3nllYiYyhaPIOrmgp2dnc7a5lgrxrDzLJQyn+f1rZQV\nEzgT76OiMloVFRUVFRUVFRUVFRVLxrFey3q93iEf6VL++nx+qV6C2TC+h30h9sWZAvPvzITwJgve\n//73R8TUeoO1gKOtnrltbpf9dJcVUwCcYcyyBLMyBGIVsKUZGX7zm9+MiOkbPDFqWLWxpuzu7h7y\nAY6YWmBgtLAKYmnkPCwRtqxhjVtdXe2wkVgc3oraZLnCvLM4zcokRbuxbtmyzDWQw5/92Z8dOn74\nwx8+9LvMuGYf4IipJcyMCBZDdI57+bnm8Yf8XWfHMVs840XQNE0nfsfPLMeRIUvHPDkzInpA/Q9k\nhz2edAwAACAASURBVH7OGgu2PnJfZ9fje/QYWcJYOmsXdVjyNT32szwWAfVJStfx/7NfeClrH21G\nLzjCZuOfztyIrHMclVknM1dmK/je4znX/LJl0PEny5pHV1ZW4oknnuiwLV4b6OOpU6c6GUStb+gQ\n45HYX9cympU1Dt1xXAP3pF3EqqC3XNuWeGR9586dlg3g2qVsmYui3+/HmTNnWjl4LjHjfOLEiU7m\nOizbli3yYewjWyz6jIGcQThnlczfOVupM5uV1tTsLeKMomawvIYsAlgJdMDZaUGOEy552jguCn1i\n3uN5MO5gWHItPPrK+uTfcm9k5Pqcs7KN0ibkybWZlzwue73eQvNqr9eLzc3NTgyxYx1zzJb3s/ao\n8X4KHWUOhdHyGjgcDjv18JAVXkXoOfFezDG0AfYQ2TPWB4NBJ/un48ntZTIvxuPxIU8q731nxUYx\nJzqngtlOGNc//dM/jYjpXPrRj340Irq1Cre2tjrxrV6f+Y3jvni3YO6FLcv7KtdC9P7PbPijojJa\nFRUVFRUVFRUVFRUVS8axX3VnxTKU/BbzZ7MIvH26FgBv9rx14qvJ23S2VtlHFauF2QiuzRstb8Jm\nCrjHzs7OkbWd/KY7L5qmiRMnTnSscc7bnxk22uIMZLYsY8WGbfr0pz8dEd16L1is9vb2Or7UWB5K\nMViwNNzDVbhzdXlbYBzDY4v6vMCCXqqd47iQiOlzpj/OWEMbsWbBEmLdw8qKrzG6tra21tYc437f\n+973ImIaj+B6bs6SiLyQbY4PMOtg2ZbYmOMC66stO84Wht5sb2+37TU89rFmI/sPfOADETHVOcdg\nzMq+5/pDjt3KfvO5/ba0Z+bFrIuZgsxazoscx2O9nxWvyf/cJjOX6B/xqvQfSyrXQX8jpvMf1zQr\n5lgSz5/O9paz+NmDwbFL/jwvsL4iy1JdIZBr6LlmC/3Ass945VrIkvkTOWSrrevHOC4YVop7oPPM\nJ67lk1krW+fNbpQs9POg1+sVM+/S7zxXWu6lDI6wBMybyOU973lPRExly1yRvWQcrwgDztqE3jKv\nuC6cM8zOitHyWguWwWiRIc9Wf56xZZZrMpbqPrKWwBQwr8Fk84xY52d5ddAOvInwXoFtYc7gWRH3\n5TGX2Wp733h/kVmwRdjtfr8fJ0+ebPvt+3j8R3T3IV47vJ+yJwpzLbLNMUMeI7kGZsR0vmb8OxMe\nv2Ot4XPeo1ru3o8vqqs8P3tOOdtnboc9atwvxjN7oddeey0ipntUM7D0f39/v72m21HyQkJfmWsd\n55hr93kOLdXaOy7rWhmtioqKioqKioqKioqKJePYjNZwOOxYs20ByNbJko989jWPmFpgeLOnrsC3\nvvWtiJhavrCenD9/vr0GbApZBbE88FszKbSXN1zn7L937177Fmxff2dOO66vpkHcm6uuu9p6tvLY\noudMgVhYqHVl/+D/8B/+w6H+YpkdDoeduhbOtoisaQ/PD+sBlljLZ3d391As2KxzFpUlIPbFFh1b\nJ8Dq6mp7jjPpOI4IhgAZ/+Iv/mJETK1+X/7ylyMi4rd/+7cj4oFcfumXfikiptbsl19+OSKmuo6u\nIUv7DiO3XKcm4sGzcX064KyDy2AJ9/f3O5Yc18VD17a3tzs67WyPr7/+ekRMZWkGjDHvfk8mk05N\nKz47tsJsry3s3DPXPnFGMVt6Z2UqXAS+LrClMn9vBtFxFegpc6JrxDC+v/GNb7TXoRYe88S///f/\nPiKm8wh6CFPgOirO9JXjkRw3U4ojWpaeOvumY9py7JTPAciWOQ/mlbgK9JO1C/1El27evNnKn3NY\nTxzrw1jhtzA6Ztlyxq9HzYC3jFjCXF/OY2lWTCPtdayZmTnGPp4CTz31VERMZe6ae9n7A5nRHuZR\nx4DCIrC2cT5jP9c48lrhel7Lyo7JfTc2Nlr52WvHlvvBYNDRB7MxjH/GKmsOuprr5eXfbW9vd9ge\n5IQOM2eUapqaUcjZ4czs8NnM3KIxWtR7dCyQZZkZbu873Cb0hiOxWYzF3//934+I6dhGh8+dO9ep\nxcgRJof2IDuYR8d9Imv6c/fu3ZYVMtviPnpdmQeZpfIcPas2nvfJniuYD2GyXBsLhhvk+HV0HH10\nnUuYV+8v+Z57I1PWxDt37rTX8vh2f44r08poVVRUVFRUVFRUVFRULBnHZrTy27/jQczCjEajzpu8\nrZ5mtLAy8Wb/7W9/OyIi/viP/zgipm+273znO9u3TGdfciY22oMl0lZ4LGNYCHK1cPv4gnl9NWdh\nPB53LH58tkVwZWWl4+/K0RkAsWp96lOfioipz/WXvvSliIj4wQ9+EBFTVubcuXOt1RZWkOfCtbEW\nYH2DYQRYKLGcZZbQNWScDdC1FuYFcRclSxWWjHy+WVnXarCeYin8/Oc/HxFT2fIZq1bTNK3svv71\nr0fE1LromA5kiYXF8YGuCZJrW5T0B2Axmxe9Xi9OnTrVsfjYHzyzAzxvdNj1SJAlegCLzTyC1Y9+\nP/744+33WMLQN9gx9BedevrppyNiOp+YoaQf6OlwOOxYQWmf+7yM2JdsOTtqTsmMS65REzGNQyGO\niFhXZGfm1bh+/XrLCNAmmFdk7RgdM3tmPJhP9/f3O/VTPJ/Oqr01D6ijxVpQskxmDwXP8TxXZIue\nAvQQXWNcMycQK/TGG2+0VnDmADLe2gMAmTFvci3HvzD+BoNBka02Q7eoTGEJbJ225T/PV67pwxxg\n2bJ201aeG1nImAOYGz70oQ+1emXGn/WM5/nCCy9ExPR5ObbG1und3d2Ol0hpTVrGur+yshIXL15s\n1xbPobPYF+ZGx0Bjreda7KM4kh2XsYzXBLJZW1trdRU2nM/IjTmSORWUag7l+k45djfDa8Myar71\ner3OWl8aAzkzaInRtlfAc889FxHTeRAdRsbMm5cvX25/QzuYB1iv6DfrM+PeWUm9Jt2/f7/DCgLv\nq5Yxp25sbHTyB7h+YB47ru3l+F7mTsYuWZsvXboUEdOx/Ad/8AcRMZ0H3/ve97b7J/STsYhs0XF0\nmxh55EQbOC/P/86qXMrgWGO0KioqKioqKioqKioq3mYci9FaWVmJc+fOtVYJV3l3Bq9er9fxicc6\nwlsk1gDeJKnxROYx3qJdWfuNN97o+GTzFs2bNdYc10fhmq77QL9yPSlbOZeZyYnrX7t2rWMt8P0y\nW2jrhusFYN3Gek0mF1iXz372sxExlQfW729+85vtb2GukDuyzbVSIg7XyaI/uQ1YdHZ3d4sZnByH\ntizZAlslHGPYNE3bfmeisv5hYfobf+NvRMRUX53dCeb13r17rY5zDSwxWGacMY/PyNh6zr2ylRk4\nqx6WoEUZLa5pWT7M4uu6HugGVmt0CisW+sozILYNXURe9+/fb61XZrORP0wBRyyF1lNb48fjcUc/\nS9krlxFTmOto+T6zYoccS+ixD/vCZ7KEwmg5m93nPve5iHhgpSWmlRhO+8DTPlsy3V7HaIzH4w6L\nXMqEtWiGLLK4OnsUcF2qXOvGsWWwA/wfVoVjjhmM6GZ9vXbtWqu7ZgWQP+OSI+dxb+YCs4n7+/vF\nGD5bshdlX2D8nWWzVJ/n4OCgU9PLsUHoJ7JlbWIu4Pd4Z8AE5ppM9Dd7uWQw5tF5e9MwZ2RWxTFY\npfi9ZTFaeT9l7wDHY9HG/D9n86O96CjeEcS8sJbYg2htba2VK2u34wkz8xcxlZszDTsL5mAwaGXv\nGmGuD7cMueb9g+O/89qZ+xTRlSljkPnhIx/5SERM51Ta/Nf+2l879Dtk/corr7S6CZCx10bAHsHZ\ndGnDLOavFKMFFs04DKPtrIzO8JtlWapFae8xvMxY69kDMB/isUKW52vXrnUyKXv95Jrovveqrv/F\nXDQej2futyO67w7HlWlltCoqKioqKioqKioqKpaMYzFavNnmzxHlTBy56rZ9n3nTxcKCJYvYFt4+\nyfDC2ynZib7//e+3cUSwXFzbVkO/lToTDJavnKHMfrsly9aiPsWj0Sju3r3byhXLXynmJmfIcw0j\nZ2mDyXLtHFu78C3+oz/6o9Yak+PVIso1SMxo2VrAeXt7e504PbN2JYvMcQFD5VgaZ8XMcXC2zjiW\nBD2Fwfr4xz8eEd04BddnWllZaWWAlQa2Fr3D6m2m1eyaa625z7n9HJ0JbV4gU2em8rPKY83srLOF\nIY9nn302IqY6xvl8JuYlZ6qjPzBYjhVEL113xpYqZ7/LjJYZ1mVlGQTUfIL1BSUmgmyauU0c0SHY\nUv5PHUIYA1tykdPFixfjmWeeiYhp/ACWbdd3s455jjSDORgMOt/RN8t60bHf7/fj1KlTD62b43aY\nvXZ8Js/HTBbWV/TT2TT39vbaeZTvMoMQMR0DrknjbJogW1Qtd8dKeN6bF/1+P86dO9eJX/AzZbzm\nrIOOM7LeEitEPBWyxipNPBCW7StXrnRqBsIwMAeg07AByNzMo+Pe9vf3O2uUsYwMboBYFsuKezir\nX2YQbWHniCyQH9d48cUXD31P3BGxMG+88UYnJtUstOdz2oucrbuzaoJyTdrPWrAo6wLIkGl2qsS+\nr66udvYf6ABtQ0eZS90X9lnoKplcv/SlL7VzASgxbIC9LPM4c4v7k/cApX2Na1nNi9FoFLdu3epk\nlDaTlP/vjIfOSkwbGffIDpnCTn/xi1+MiOl+64c//GHreQHbzf1pH+OdedrjJ3tZ0T/Oe1gG9Yjp\nPF1jtCoqKioqKioqKioqKt5mHIvROjg4OGT5wJJRqi+TLbDA9X24Bm+0fLZPO9ZE3laz76urbpsN\nshUA32OsBiV/zFm/NRa1Fq6trcXTTz/dYeVsTZ9VE8EsEnKgHg4W6lJ9G64Fi/jSSy8VMwPaylbK\nkMSzxxKbsyY6Gw5wXNGiLOF4PD5Uc8RWlVkWIMcbOJYHPXz++ecjYmqJRuZGttg7zg0LGVZH/OWx\nfplNdX0VMMu66jFYsugdF5PJJPb29to+0H/fj+fdNE3H4uXnD9PKmHbleWfVxEJ16tSp9m+YcH5b\nql7vOkqluhg59sW1atx+ZzE7LobDYdy6datjcQeeO3OWScvd8UToGLFZWEY537LNVmCzLTAF9kqw\nTP3ZfY2YnZ0yHxcd+71eL06fPt3OP8z1vt+sOOLSWoUssZg6NsCWUrJdPfPMM+38QIarUp0+2uNY\nSp4nejyrrZ4XStbYeUEGUdqCvnp8M0+tra0V2U/mNmewczyF2Sjmiscff7z1BEBXkBlzj1l82ud1\n3jUiZ+ltqQ7QMrLjDQaD+PGPf9zeg354TGQvF3t9eH53XDpgDMMg4JkB0/1Hf/RH7X4IXaTPzAcw\nOuzFYMfcXrM1Kysrh9jOiG4drWVlHfWes8SUc06WKfrBes05ZBlEDq55x3ms5x/96Ecj4sHc84d/\n+IcR0Y2h8/rsXAawNaXYtgxfa9nY3d2N7373u22MGmPTe9T83N1ur6XoHd49pX0lHiuMjccff7xd\ny2gHe2dgbxZQ0rnsjeR3COtlaQ97FI79ovX666+3k6LhxuRAb7tG0AEKMzJBsEC60ChBhNltgMmD\nzVYu5kh7Z7WL713Ej+uNx+MjUy0vK9C43+/H6dOnWzedozYxuWisXQdZ6FFefuvCdn7xyjJn4ZsV\nKJjhjbtdQ/xCvb6+XqSa3ddluGgNh8OHJr+IOJyEo+TGaJcMFnmelzcZTuwxHA7ba9rtEtlwTdwT\nS2m0/fI3635+SfBkMi94KbC7SOkFLj9Du0KyYWVhcmIKjy0n4BiNRq28uRb66kLjJTcqT/z56MXB\nurysBQ23YW+eSglOJpNJR3fpH2McHWNRdLIWF7nNaZfRadrhF0CXG7A8rGPZYDXLiOW+RSy+gT04\nOIjr16+3L56+vjeDs+YaFxFlfJYSJfjlh/POnDnTurzwHHCBI5mLN/nWR7uJ5/nJbX+rNlr379+P\nb33rW+2Y5+UdWB7r6+udOd0bKKcfLxUKZpzzDAaDQeeFv5TgBpTmPrt5HxwcdBJ60Tcbv0qJQI6D\n3d3d+Pa3v93qBptKMMt12C+uJfdNu1d6HNhwOBgM4qtf/WpEdIu9syfwppij91seY+vr6+392Gu4\n6HWepxd52ZpMJoeed6mETHaDtc7RRhv1ecGyLntO5vjcc8+1SVwou1HaR7kN7Lu4N/uPWcXrbTwr\nGbLnxf7+fvzkJz9p9+o2CMyaQ60jyJR+cHRhZvcvl12JePB8edH6zGc+ExHTtZ6kbqVCzk6ENMs1\n1uPfc34ppf5RqK6DFRUVFRUVFRUVFRUVS8axXst2d3fjm9/8ZpuKEWvyLCYLuGCcLUK8QWKJ5s2X\nt1Y+Y1HKlnresGGiSI6BFaHkUuHCqbwB5+JyJcvrW8G+5LbxxuwCj/R/dXW1Y+3EOmTGBKvpUexT\ntmpjOeQZU7yQVM+2QLndth7wXGclUfHzWJarCy5WJetR6dnm78xowXpi7XOKYXTHrlzXr19v9cuu\nq5wDk8A1zRBY9+wC+TBwDe41L3Abpp9uk11rHpYKHlma2bNF0Na+7EZl9wAH29pFywUUzUbkcWxX\nQbu72A1uXoxGo3jzzTfbOQ5LocfHrGBdJ/OgjcybuPlwDXTQqdcZn9vb2+21sDaa/TOTVWIJQbb0\n2iXDc5Dnsnlx9+7d+Ff/6l+1llCSKVm2YDKZdNYiW1OdRMlsgvWA80+fPt3eD8tt/i5iOvaZq+0i\nblY7r3+llMOLul8Zg8EgfvCDH7TJP3ClMpueXYTNNlnGHvulBBveU5w4caL1YPEcncuz5GuX3H08\nz2SZlnSaz4u6DUdMvQRwTS3tV/I4K805pWRUyMgMg+e95557rpWrXWPNKjhRlosmmz1znyOmz8Ze\nR9mVbx6QDAN4nfLcOitMxKUXWK+9n7Krqve6Z8+ejZdeeunQNfCi8j35reeJUmmNlZWVYupx729K\nCYEeFZQg4rnDvHqsZL2hbU6pznN3yQXvK732g5WVlVZGXBu3Yt4DYLZIEFW6tp/jZDLpJBIBdo88\nrudFZbQqKioqKioqKioqKiqWjGOZZO/fvx9f//rXWwsMFq5SbMWs/9nK7dgr3hwdr+Ig936/f+jt\nPt/DcV2ltKScj7UhB+oeFUvgt/h5MRqNDgUa+35gllXCPtHIA/9e+g/MhNGHXETPBTSxXsBoOaGG\nixTa7x1kltDtXjajxTW4j62qZoqyldBWIbNIyBZrCdcmXS6F9b797W9HxFRuEVMrNvdHx5EplkNi\nl1ysNCea4Gj/bFsR0W0SbsyLyWRyKMGIWR7Lut/vdwqZ26ptxgg4dg82LscL0m+sjOgwVlWzg7ac\nlmLL+v1+x/r5MAvtIiCegOfvgrBmz3u9XjGhC0DG6CdB1Vj70GsXN79161bLCJgF5Fyegxlal6Yw\n27i+vt6xpFtvPM/Pi9u3b8c/+2f/LN773vdGxHT+KiVw6PV6HSumZevYXq9lZlEza4puW4eRtdck\nswKlmK3cDmPZekoacsYUc4pLKuS1sMT2mclEZo4d9PjknhHTedGsrFlsrmE220lf8nP33OPyNGDR\nlNkRU4baiXwYRy66vb6+3tk/2Vpf0tFSTCK/O3nyZMdDifvbq8iFuRnvjq/PCZO8B3PMW57rFo3R\nyoyq13rr5e7ubofZMLPNGoPHFH0wS+4i8jk2rVR6ATiBi3XXXksbGxudPZdLzHh/Ny/G43Hs7u52\n4l5LSaN6vV7bb+8XSt5VZmAZq+hUnjd9X+YGPluW3u+XdCLPrdYfs7c1vXtFRUVFRUVFRUVFRcXb\njGMxWsPhMG7fvt2mqiWz1cPimZxmmWNOzx4xLURMfJXjJLAq8PY6GAw6PvRYtnj79Vuy/UaxSOSC\nhfn/9DkfgX1L58W9e/fiK1/5Sns9Z5exhSNnXHPKdT5jefje977X3iNfywWbs2UKqxYWFHyKST1+\nFDNgv+HsD1tist6KuDdnH/J3+b6zyhAYnIsewlghHz5zRKb5t85saN2C8eL5ke3JFppZDJytNugy\nqU+zRXgeICOua4uuY2yyv7OZGscRuCgrcwCFtEk7zD3Onz/fiRdA3lwLXYMdhNkgBtGMa7YAW09L\n6b+P0plHQa/X66S/t/V5FtNr1pffwGQhO+SDHNAdmNZsKWT+dOFRf3ahR+Yf9Jc5JFvfbYE3k1XK\nGHdcDIfDuHHjRvt80X/GkrPgZXbUcUHoUkkOjH3iWK9cuXLo95ubm+3fMIfIjvYhM8a4Y5RKzzkX\nWi1ZmJfJxDZN064jHGEJ7d2wtrZ2qKxHhj0iGLdmMnlu6Cm6GTFdI9EZZMvzQf8oeuoMqT7m1NKW\n2VElDZYBM0ale+3v7x9iiWlzRJe1A/yWORRZMe7BmTNn2msha45cwx4VnO/9h/d4Od0365BTqC8z\nY+ZwOOw8t4c9T3taOCbN3gF4r7AXcCmczETae8PzHP9n/OMtxhEGC7lROiKzhI7XdZbcRb0EAHLI\n+QLoZ8RhmZayqNJPzs35ASKmY4H3AfZTeW5Fr7i/Y+gc50vcMrJzCQ3P/7PgXAR+fzkKldGqqKio\nqKioqKioqKhYMo6dNms4HLaMFlYS3hSdKS9btZ31hrdOrNevvPJKREzfTrGWmXXJb8r2GXbGPu7t\njIWcx+94i87WlZIFwv6vi1oLdnZ24k/+5E/aLGFYU+xvmi2ZvIHzZo6s6CfPB2sAlikzf7YuZh91\nZxjjXGck8nOlLbYaZKuq42YyCxKxnOK6+/v7rR6UYsFyJhxbgW21w5qDNevll18+dB4xIcQtZh9j\nnodrknF0RkcYLa6NdWtWIcjc53w007OMui/D4bCjF66llOcA2un4S48t4se+853vRETEv/k3/yYi\nplYtWCjGyGuvvdbOCy50yjWZV2BiXfuHTEW20mY95Xm49suy4jPH4/EhptFjC8yKx7JfPDLCQohV\nn+KZ1MChv577bt261VpsmYuRHTrEb2iz2e1SuzNrV4p9WaZlu2mats0wI5Ztfnb25QdmthjHzAGw\nhj/4wQ8iYiqfWT7/ZitdpJaMb1hfzQAir+wx4Hl0VoFrt2NejEajdg1gbjFzme9XyvDl+FTGKUfm\nSLwxYGDy9UrFm82gO5YchouxMiter1QTzZ8X9RCImHpdIE9nPwY5gyPrLDLwXoe1gzUFXWVsM6bp\nB/PmiRMnOpkuS1luHYNlxmBWzSfma8fTgWWN//F4HIPBoFg/D+S5yesRMnYcMl4ByB4mm/lyVt3W\nUu09rmFPEPSdayFbCvzmPY2L/PIZuTsL56JAP2mrWfg8dlxvyjpjfUWWHBn/6EuOG3a+BrOUyAjd\n9vhi3mLvADu1sbHRGQPAe6+HsV+zUBmtioqKioqKioqKioqKJeNYZm6sBVj2eOt0DYCcecwWOWCG\n6EMf+lBETK1QWK9tmc8MCm+2WC3xmcdXExaCY6nWk/2ct7a2Wsuw4zVAKWPacYFVG0sG/fd9M9PF\n346RQA4wBFiWPve5z0XE1LLHvXK8G33BEgZbicXB8TRYSWyxcZ0MrB4rKyvFbF62xC6D0SJTVkS3\ndoh9sqm7FdH1i6cfyJT+f+ITn4iIiA9/+MMRMbWO2HK1s7PTWhORra13WB2pHo/Oo4N8xhrE82+a\nphPnZd/nZbKE2fed8QiDCXKWoZKlnefCuMSaDV544YWIiHjmmWciomuRvn37dvtcHIfBvZibmKuc\n8ZHnyP/5fdM0ndgc7mUZL2op3N/fj6tXr3bYNPuY5xgux+AB2s+Y//jHPx4RUyaPcWjwjE6fPt2J\nUeCIFdzZMflcqt+Sa+eZQbOnQCkb17zg2TC2mMeQT4bZFzNFzIWMX2SJfmLp5veMjTfffLPDCiAj\nx7vxPGF07LVgD4GDg4OOBd14lNiDR0XTNO39WF+Rpb0wsiXfngHIgzWINRt5MB4/+clPRsRU1tnD\nBSu3reW0j/kSWfLc0AHmDOpwoqfD4bBYg8uM1qJ1CTMYE8yHyMCxmqPRqO1rKZsdsuFayBVmhFhF\nx6xOJpNWblyTNY322UuAz8iC549e5NqGXJtreczlrJuLsFpkyCtl4XXse9M0nf2B2SbWH3ISoIv0\nn0zDyCVnvkXPkRHjPOtc/ux1zHLK+yvPV+gGuov+L7pH7fV6cfr06VYOrlnp+mGj0ajD7pt9Y5wx\ntzKn4GnCvZhbGbNbW1utnNm/ei7N+9n8f+9d7b2UvcXsreI14biMdmW0KioqKioqKioqKioqloxj\nMVrUfcBqQl0B/MuzdTTicByV/V1566QWB/69XAuLDW/4WGRyzRLeKu3v7rgU/m/rgSt65zdfLDDO\n/+832+NWiDZgCugLbXC2xmzVypbiiK4FA6vAr/zKr0RE17/XWY7ymz+WFyyNsCxYyJzZxW/+jtfI\n1nrLzKwdfXV9luOCmk+2vJhRy3Ejbi8yob88F2RLTBbWO9esyDFa6BnWmVIdL+6Nlcf10HhuXK9p\nmo7F1cwcMjVLclzAZgP0BH9nZwltmqYTh2PfcfqHdfVjH/vYoWvZ2p/rTSFfx2Zxf+aLnPkqYiof\nro21O88hjj/zGF90zIP9/f24cuVK2xbHr4Ksx2bTPJZhxLEA2lpr1ozn+Nprr7Vxh3/+539+6DvX\nh3J2K8eN5FqHnO/sUl4HllGXCOQsosRPYH3Ggp/11f0xa0sb3/e+90XElCV0HBX9tn7nc5ApVlnm\nVc5lvnH8LHqex0KJMXas3HEzZBlN08TKykqH4cPqDLL+ug6Q62ay3jH2n3/++YiYPh+uRb+Z83I9\nL/TNGUiRMffgfGRcWruJ7c3fOZ6Wa+A9sihyjBDtZv2bFefMmGKPRTtdc4tng666dhj3yPXlXCuI\nZ4euOsuzM2OyvnFt+nXz5s2OVxH64PVqa2trIVZ7MpnE7u5uMTuyGYvRaNSJIzRTzxqPrlonmXPN\niE0mk04NLjwsfvrTn0bE9Jk7C67XPnSZ9Wp/f7/VD8+dzD8cF/VmOXnyZHz0ox9t95H05f3vre7B\n7wAAG9hJREFUf/+h6+d6XiXvDDNCzE0vvvhiREz1k3cM5whomqbdc3AEXtMZo1wjv5dEdD2LcltL\nGYZpF7rwqKiMVkVFRUVFRUVFRUVFxZJx7FRkOduRayzZ37bf73eyDmKB5RwsWLaMOybIVqnbt293\namzwRmpfzVJVcNf3yb6evHE7lsyxO8tgtEajUds/+kLbaEfO4MM9sUZxDpYN/LCxtFimroeC5eP6\n9esdn1l8jDmXfju+zcyBLUo7OzudejSum4WF6FOf+lRERHzlK195uPAKIObK1v8cL5bvv7+/37F4\n8R39xhqCJcP1IDLTGjG1ply9erWN0bJPsePBXMEdi5Wz+mSWtVRLBzir3iLIdfHQGcsHZJmaeUaH\n0BksobBQZuE85jY3NztjHphhNePjTIiOmRmPxx3fbsd28tkWteNiOBzGzZs323mU/ptV5fNgMOjo\nmXUGJquUuQxZ8ntYgFu3brVxiIx5WxNtOTWTxbgyUz4cDtt2Wvf5v2MXFkHTNK3MGIdktHz3u98d\nEYdl7TFjKzKxKlh0GfvommOFkMfm5uYhZjufc1SMGrL3uM3rollKn1uKU5kHWU6sDVjnWWcyy2Lm\nwGPfmb+YA3j+6AX34Fm8+eabnf6YiTF7wx6DezmrXl7rGRfWU56X19BFkePZ0FUYE9b3nC3Zngpe\nS+kj8z5H5msYFO5lRixfm+/YczlOmRg35Mu44Mg9rly50t63lMmQZ3Dnzp2FGK3RaBTb29udsQE8\nRofDYScmjLa5fqXHJnJAPo4BynGU6CKeW86EXcqOaCaYsYeO0IfcPsfVLzqnnjhxIj7wgQ+0Hg9f\n+9rXImIqJ9joLB97UnhPzrrLPOxshJzH+Cez69WrVzv9MjtaeuaMDTOBzjo561q0nzFAux8VldGq\nqKioqKioqKioqKhYMo7NaGVrA295WEB5Y8zZjlw3IPtaRnQtKlgFDPtRbm9vdxgZV0d3ZjysAM6A\n5Dfa3d3djkXL/XdWmEVAnFbE1AoEc+LsLZklpG3OyAhTYD9Zs4Rmra5du9b+bT9f19GyTG01sQVw\nd3e30w5b5/D5/cIXvhAREf/4H//jstAegl6vF+vr6+31rVPIBWvf/v5+53+OQUOmJebO9d6Q7Y0b\nN1rG13WIrEtmWn103EDOAggsU2D2dh7k+jhYhWDrXPn94OCgEyPnTGq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4rzms3yjMTErdoiklP0n3fSsFVLXb7SLL4D6fLktn8XYrw+gBKDmbKnXlWApK\npCgKYBxgubnW6dOn+8rrWtHpdHTx4sV6d4br95NbDmfIJycni772PmalHZNSqjPg86e0toyPjzfK\n8eb+dPm1kTsBtYz1+vr6yAFL3k5kxr1OnTolqceGnzhxQlIvLdr09HSDrfY2OYPuOxUeD+Lnexud\nyc6Pd19oB+NAP/33UVhZqZdGzvtGn5ERc8PXgH7xM6UdnJIPfsnHvZTuz589/Yom+LHM9VLQWL9d\nhGEDF6uq2hFESr98LfRdLNcb71PevlIwInDd9HWk9E7Xj3F3+Ppa2mWH5aefi4uLA7HdwcwGAoFA\nIBAIBPYtBmJm19fXderUKR05ckRSORE3cIuKN/Kc3XFrBMbGGRf3W3JW0Fki2FO3tPjMSyxyjFvQ\nzsx6CiV+X1hYGNoqGxsb05EjR4qWkTNMbunm7Ixb6241lSzcUtqzfomQaXP+vZ/PUyk6EhlSCpR0\nRPzO+N99990jM14ppQaD7da7W//OwkxNTTUSrXuamRJbQnQmbCkWNXrm5RwBf0dG586dk9SN8sR/\n01O5OauIlet+i4OWCMyRUtrhC+kMgTPTztrl7Ew/Bjz/fq2ZIUqlQd1v0XU4X5PQPdgk5I3MkJeX\nCr7zzjslSc8888xIPrNSV0ZHjx6V1Mtm4GnE0Bf0Cl1ArkePHq3PRedK6YxcB10XS/7yvp7SBi9Z\nmzM5pTRqpRiFnIUf1g+x1Wppfn6+oWfeX9pNwQoiqXnG3X777XrVq14lqcfUu694KaLfGVp/Xvrv\nPl+8tPPk5GRjvvua5L7P6PRu8+hawRoA/Nno65L7XufPCtdrUMriUSrSBErvISVdztlLHzvfEfLf\nPcPJ7Ozs0Km5tra2dmRDcNmVnuv90hX6DrbvKrtPdSk9FtcuxUH42PX7dJ0spazj76xZ7IosLS0N\n9KwKZjYQCAQCgUAgsG8xMJ2wubnZeDsv5SX1Um8wG3mSYmdtOMbPLfmSer5SgC+UR4S6T8n6+nqD\nVcDKdOvErVp8wkbNM5lfu+Tb4gwiDALHTU1N1e1xZseZMmeg3dItRZd6m9xqzRkVGJsLFy5IUl1W\nErYVdolxcWvz7rvv1le/+lUX0zUjpdRXz0rsh0e+5tH2zh5yrrPKztxwb/QLPaLvnsGDMUVWMIR5\nsn7ahRULA0tb/uqv/kqSdNttt0nqMQhkjThw4MDQzGyr1dLMzEyR3faI9xJzOzY2VvTJKmXW8EjY\nUtYS99Wbk03dAAAgAElEQVT245FlznLiP3n+/HlJPX9K+onsKECBTyvz7I477ujrC3itaLfbmpub\nq/2aWQPpEywobecTn336dv78+VoHGXffTfGx8O+lHKn8nd0C1lf3c83XMdqJbrIWeDYcZ3NH9Zfn\nWuPj40VmHh/ZO+64Q1Izbyjz6KmnntItt9wiSXrta18rSbr33nsl9eag+2D6Tk7Jr9CZOGfHuA7r\neu5DzD0ZDy+FXPKpHZY9BK1Wa8eaWMrfznfG2vWM9TmHM7G75ZzO25TDWXdnsZEz6/ClS5fqtdeL\n5ni5ddcfWMTbbrtt5II/pVywtMl95NGL3Je2NM9LO0elkt1eRKjka81xPO/zXW7PbMF8AaVdaNaw\nQZ9VwcwGAoFAIBAIBPYtBq4AhsUvNVlO98fgLZ0385yJ4k0ei4Hr4jcGnLHlbd594pxxwcKGOcAK\nc1/T5eXlYoWr3fzxsIzm5+dHKmXXrxqKs6i0AUvc87LCREhNnz8sHaq2IGva7+NYKnMLPPreGaOF\nhYWauYGVya3g/NOZBL6fOXOm4Us1CPDJcovSGQ3k59kk8ghr/Oc4BtBWZ1o5zhkb1z1k4Kwqn5wP\nY3fo0KF6fjCmngexxKbTh8OHDw/t35lS0tTUVNFXcLdsGXlUqzOZ7o++W4nKfllJpKYvKLJ1FhNd\nXVtbqxlD1iT338+P7YeDBw+OxHiRecN9+koMJvCdo9OnT9c7H74+4n8Ho+T+eN5n4Owia8vzzz8v\nqaf7vmZubGw05nye/UVqssC+zo6NjY0UfZ+XCXemnznKJ/MJeTBfHnvssVo/nEEmg4hnm/CqasDZ\n31Lch8d75JWRkKH7KvM753h2H8Z9lJzotPXw4cM1c+ljRx8Yc88AQd8PHDhQt9WfRy6XUvYUl5vv\nDvg7ADJDvuyAXbp0qZF/2plmf054bMLx48eHZmbb7bYOHDjQyC+M3tEPxpj+eQagqqrqcWbXCNn2\nqyaZ95NxdF94ZOfPeGdVOQ+MjY3V48Lzi/HerUoZcjh06NBA62ows4FAIBAIBAKBfYuBKBp8u9zP\n1S1WLAevbAQb1u8YLAj3P3T2EHikZylXrFf+6seW5b68UtNPBmuEfrolPjc3N7IvEvCchbQBq6yU\n10/qyQCLkz5zTfx7YGipZORsDXCWz60vtyBhhU6dOqXvfOc7O9rAPfh09gndyP2dRskxiU+Ws5BY\nnKUIWdqD/+TW1lbdLyzMEoPgzKzPB+6FHLlHXota6rFC+Gri/3rw4MGGhc09YSDzHYf8nnl09rD+\nnbkPct4/Z4dLPujI6cCBA0W/W9/9KPnWl/z03b/0u9/9rqSejPNa6rSV39y/GB8vfGTRXW/r3Nzc\nyH6e+fmlXI+eG5k1Mmf6mPv0l/WPvnFt+uZ+hfTRo+S5N/MU+XpmhZwh5P/cg2sy9r6GOzM7iky3\ntra0srLSqPRVel7QH9eB+++/v+Hnj4y5FiwY6wPtdv9DnyeemYA2sS489thjkqQXXnhB0s64EM8h\nzrU4hnGCOaRteeT+MGi1Wpqeni5W6ERG9J1nq+8sXrx4sTHHWaN4TjHv6EPJv9Of7dyLXQTWRmdw\n0dnNzc3GOwxyRFb0wyue8fugLKIjzxLjz0TPxMS88hztW1tb9TMcP2/PPOXZooDnYWYcuRdzAJm6\nDjuTPTMzU68xjA8ypi383Sselt7ldkMws4FAIBAIBAKBfYuBmNmtrS2trq7Wb9JYLf0q0Ug9q8Xf\nxNfX1+s3f6/by9s7VogzuO6D49U+nDHgPK+qk1sqHk3KvbkGx/Ldo1XzSlODAl9Xj0KkP0Sp5kxS\nflyeP9StZfenwrridz7dD5PfnQXzMcGfhjYin5RSnYMTyxBmgH5hLT/55JOS+ldyGiU6FD9E4D5R\nzk6Wcnp2Op1G5gVnyBgDLH2YGuTpVXFgsmFgADLA0r799tsl9XT3mWeeqe/NPZxNR09oi2dYuO++\n+xp1068V+MyiB55JxBkS4JVfzpw5U8xO4myXM/n0w/3nAG1AN51pgLGE9djc3Kzv4TkVkR1tKTHu\n/SKzBwG5pl0nPaKacXOGJvet4xj650yZ7/iUqtuV8snCzODXzX08m8zY2FijGmOpQp7HWuRtGVau\nnU5Hly5dqp85fHr/aD+yBJ4NQ+rJyuMWOBc2jHErVY1CN93PmLHy7A/IcX5+vlE5z9ci2vbiiy/u\nuDZ/39jYGElXPZuBP7/9GYEcnfm+cOFC3T+OYZ0jry/r39133y2pJ1eu7T6wyM8zPHjWGZDnjUY+\nOVub98+fy56haWJiYqSdhHwXERm6L78z/r7zkc9BdJEMLDyHWes8Gw66yb2Z58gQfeJ32gKLzv0Y\nw35ZbzyeoVTpjDYMGjcTzGwgEAgEAoFAYN9i4GwG7Xa7waJhJTojC7PhTNDq6mrDP6RUQ5tPj8rz\niHHPEel+jF5NivPm5ubq9uFLmuc5k3pWJ5ZSKVp1GGCRed4+rBNnoOk/bCpW66233trwj8Fye/bZ\nZyXt9AOVerJ/7rnnJPWsNfqPlcXY0CZ8uGBnAPddW1trsLpYdM4cokNY47mP86gR4pOTkw0fafcV\noq/cHxYu9+vD/xcd8opRHoXqEcTur+cMPzqOlfy2t71NknTPPfdI6sn5z//8z+t7cKxXjXJWiDGj\nDffcc0+Dzb1WtFotTU5ONvLsMpb0y30f3bftypUrDRbU5xK6iuVfmv98ci/mKPqG7p44cWLHd3YE\nVldXa/bCx43dBOaFs2L5GjWKfzf5e2mb+17jv8n9ySTAvIU1WV1drcfE846ytvEdfUF/kDNsGGP6\nta99TZL07W9/W1LPX5T7AGfQO51Osaa8R067f2LOWA7LIrbbbR08eLDuL/JwBtNzOqN3fM7NzdXj\n/5rXvEZSb265nzD3QpbuE0g/6bf7cXM99MvZtAMHDjT8Cn1ucS7rmj9fx8fHR2IQ2+22brrppsaz\n0eeEZ1fxnMNLS0uNyk+cy5j4bsJ9990nqTkPfYfCd4xYv5E38+rd7353ff0nnnhix7n0j/WU7+iy\nP5tGYbsnJiZ055131usNcF9hfyfyeImNjY16nHlWofe0G51661vfKqnHqPJ3ZEk2Iq7DfCAGwXXW\nd6sXFhYauXhZaziW/tJPZ/UPHDgQ2QwCgUAgEAgEAjcGBk44mfuH8QbtfpFeAcnf8i9dulS/jXMM\nb+1cm2txD/cZ5XyPTARYbxwHsDC478GDBxv56DyKGWAl0J9R8qCCqqp21FR22WGN0jbg1TSuXLlS\nywhrDLbBq115hKZXA8JyxaLyqH2YIMbM6zKfP3++Zo3QDWcKGEdYMWeOzpw5MxKDQP5ez38IvMqK\nV5fJ/aQ9Pyw6hY65fJ0F8ntyPmwwMskrOUnS448/Lqlnsb7pTW+qxx1996o23k/PBXvTTTeNxHjj\nMyepUbEKebgvF2Oaf0efPW801jy65LKEUfRoXZg2xoJqTe4jxn3IELG+vt6ICPf54FkbPCp91Hyo\nXu8euL+es6ow+PkaAePsUeT0n/mG7jGGVMLid9YO5Iouun8juVYZ+0ceeURSVwecmfUcrvSDfjrT\nlOcAHxTseNFf5ovn1UQuyIG2Pfroo3V/6SM689RTT+24lvvCMl9ZP/P8ylJPp9lx8apeviax4/Gq\nV72q4XcMStWz0H/WdH9ODopWq6XZ2dkGQ8xY0i7WMN8RzZ8d6By7i+7bSluffvrpHccxZr77Wsqe\nwrPFc80jk/vvv7/uByyuV//j03eZ88j7YXW13W5rfn6+nh/MLcbwmWeekdTTF/elhXG+44476rUA\nePYjZ8N5hjN/0V12aPg76wDMLO9APCeZZ/nOuscx8Q6ALJlzjJf7NB87dmygnOjBzAYCgUAgEAgE\n9i0GZmbzPHVYKR7t61kBsDCw+o8cOVJbn+4D59f2SHK3MN3Pgjd5j3zECiTKPrdU3Mr1iHZnXTzK\nfnx8fKRsBimlRjQ3lpL7HbuVTy7CpaWlBhP2+te/XpL09re/XVKzqofnnvOoYpe5V+5x3zDuf9dd\nd9X1yz2fK5YvcN8rl8Oo4L6egcN9vLA06fNdd90lqSt3+kteXq9b79XMPDLUsxrkjF5+PPJ332y3\naKWeftN+1xuvJJdnyxhWtlVVaX19vcFs8Mk9ct9pqcc05BXosPQ5xnO7ck36gx9d7usu9WTDWPAd\n3XQ/Ta//nbfBUWKwPUPC7OzsSLsIY2NjOnbsWCPa13dpkCOfzsatrq7WvsHMM1hyzygAy4h83SeQ\na7s/K+extjAnnNU+f/58rQdezdBZePd9RK6j+CGjq57H3H1mfZcBPXrjG98oqasb6Aft8V1Erx4G\nk8Z3jkeGnrMTxpH1GYaS42HDzp07V68p7Ew46I9Xgsr91UeRK/D5xNrlY8sz3xnNpaWl+m/veMc7\nJEknT56U1JMPcoPlRT88n6/HQ3Av/u6V2lg7mStVVTV2epiDeZXPvL9ecW2U3L2+M8N8QFeRE230\nbEXo8rFjx+r3HGTi/t3oks89Z/J5/vF3Z1k9FsXrAkxMTDTiIWiLZ1DwtYN1YmZmZqB1NZjZQCAQ\nCAQCgcC+xcDZDCYmJhqVpdwPyZkbLM88J57nO8TKcD8x9yfEagceOe35aJ3dcD+uqqrq/jjL6xF6\nwBmb9fX1PbPM3K/S61a7XxaW5PHjxxv+X6973esk9WSAr5ZXXvGa4F5DnDZ5dSYsKGdfc1817u2R\n/m7R57KQurLfi7x9XN/H0vMiAvQRS3Z+fr5mo2gPPkruO+nMtVc98zylHA/TBiPjfk6wAOPj440M\nASX/Ts8K4pb0sKiqqr6n50bmd/QP3eXvuW+g6xp/80o7nlOS/vi9fd1gXD1LiDMpOUtdyvLgUfae\nT7fdbo+cZ/bo0aM1A8UYeU5Lrxvvvqbr6+u13FgXfGxgx2HsPAews87cw/2877///h3X8diHCxcu\nNNrPtVmHXE9gjZgHV65cGXkXwSueMdfQM/evdB/A8fHxer4zPq5zrjfIBFnjf8g8ZheCtZw2cR6f\n9P1Nb3qTpO4Y0F6vouasNuNFP4hhOH36dL12DIutra1G9iHfSUWesIkcB3MoqeHf6RUqWS89NzDv\nBL6jhZyZp16x8c1vfrOknr6BhYWFRgyP55r2HLAezb+xsTFyZbU8n7DUm0v0l7H2NubX8B1vPtFh\nroEM+l1Dambi4Tjf+UO2/r6Vv1d5xgvf/fHKq3xGBbBAIBAIBAKBwA2DgZhZ3rZ5S3emAHg0JsgZ\nB45xnw3PqYZV4oyURy56LXHgVrPn3+x0OvX/vT6zR4rz6SzP5cuXh2a8qCGOdemWrvvK0lb6hZU/\nPj5etwEWwtkHj771cXTfFu+/+5+Vai7n13Arkk9nMZ1lGsW3k+tNT083ouW9wgvyc4Ypz9Dg9emx\nnPF585yppd0Br4udM655W9B518u1tbVGVKrfg0+u6fo/StQtOzM+ZqXsGM745zs3zhi6768z5x59\nTr9cHs6W+1i4To+Pjzd87Nyf15lS//vZs2dHzmyS71D4GsV9vJ1eBW1ycrL+m7Pi7mPsa5gzfugc\n1/GKQSUGmPsfO3asZlhhXNFrroW/rVcF3Av/bir3uR8y93LWz6uR5TscyNkz5LiuIlPYR/oH88px\nHiHuc9QZKmTMp9Ss7uiR8Kxn7uN4/PjxkSorkiXGZeI5db06l/vT51mGGAN2cPNcpVIzp7znzvbn\nD3JCzr5L47lv2+12w6fX2wt8nfEdjGFA3IzL0N+j3P/V31dmZmYajKtXVuXvzk77u43vZHstAfTP\n37vyeVRiXD0mydfZPEPVIP7dwcwGAoFAIBAIBPYtBmZmO51Ow5p1P0Rn9oBbA/3OdR8gh/vGuf+a\nMwvOInne0dwqcwvImUf3mcvzaQ4bIdrpdLSwsFCzcm6teBQux7k/2uTkZMOP0HO68ncsXY+edxbT\nWS3+TpuwnL3qTKvVqu/tvo67scdce2pqauSMBnlO1NyXJ78/96B9yCZnxTyvMmCsSn7AXAM9cf9W\nZ7jd59T9tKqqqvvhY+m5PN0vdy+yQ/jOjLPBtMn9oGlDv3WhlA/T56kzA/zu+UOdeWVcPc8syGuq\nu/8053pOX8+D+eKLL+6oiz4oOp2OFhcXGwwscwj9oZ2e6QHk7BDsVMnf133/PE9x7g+ct8mzqbi8\nc9bIq/zhew57iN6QScQr643ihwiD6M8or9KFPuU7ddJORttZO+8r57KOOkvqzzh0kU9k7ZXePEf0\n0tJSkRlDllyT/tFGWODl5eWR14KxsbG6z16Ny7OSMJb+brC+vl73wddPX1/y+Jb8Gr7OelU09+v1\nynP5jiXX9p0Nfz5wLvfm91H95vNr02+eA/TD4z48C8vY2Fijz6wdtBdZlzINeAwD3z2Gx/P8Xw3+\n/PS89L4mobPBzAYCgUAgEAgEbhgMzMxubm422E/PJ+tWTT9/Pv7GNfA94VpYdJ6L030wPVLa/c1g\nD92yyC0Y2sA9+QRYJ+5/NWpkONfIc8R65LL74rnfZs4ie/YBt9I8mt79FD2ik8+SxezseO6P5iwv\nrK1HR5Yitwety+zIoymlcuSkW/8u91xXPQ8ebCLXQodL+uK7BZ7f130gnYHLfdXc59GrcLkPV8mP\nfRBsbm7qwoULDbbTK2jx6fqV65Xnf/XvMEnO/HjUPTrrPpGAMUGWnk91bGyswUo6C8On551mbXnk\nkUcaa8YgYAeBa3g1QF+f8rZLO+MOPLuLxxh4X4DrD9eBJSn57QHPKTs2NtZovzNp5A4mSwDyhE1a\nWVkZuQKYz12Xi+ceRQeQx8zMTGNXx3Pv5veUevOCvzubDZyBRcZ5Pun8fq1Wq5FLnHNZX/n0LBX0\nZ2FhYeSo++np6XqMmFe+s0U7kAm6m89z33Us+fL6M8N11+WaZ6KReuPh7w45W+/POuDVC/n0Z970\n9PTQzOzW1pbW19fr+cCYejyEx9N4FdCqqho7MB6L45++M+HH+3OmFBfi7wydTqexo+1rt+9Y+Fo1\naHxHMLOBQCAQCAQCgX2LgZhZIu/dj819/jyC1i2rdrvdsEY5xv1BPFrZ4bnLSpaV+5Pm53nEIpZD\nyT/MI7FHrVSztrZWsxNEYHoEp7fR8z/mOUg9gtQj370fMAF5zjxvo9RkaP36eVS7Vw4p1bX3DAt5\nha5RfJBgvN2nzKNRkZ8z+3nUvPfTWSn3M/Q+uc8Qx8NWwB46S0kbiExeX19v7FwA37lwPz8wiq5u\nbW1paWmpyO56rliPYs3Zb49+d6u8lCHF/QiRkTP8frwzQ7kfnZ+72ydt9kwrw4IKYLBd7r+32xro\nrAj9ys8txRb4uujnu58nvpi+u+N+88g5P9Z9S6k1T7UysoPkOjAKMzs5OdkYO9+tcr9jZ41WVlYa\nO3HIknnLOc4wejYS96v2MaCNznr5Wio1KyfCQgJkCdu9F5l3aOvRo0frKmf0scRW0y73e52ammrk\nKPXc2N5OzyrjzxLXWc8y42sOvy8tLTV8x93X2ndt/f3k4MGDdfsHhWeIQK/YnfK4COD329zcLGYn\nwX/b85N7DJJnQ/CYI38mexvyZ57vTPizy6/l6xtZHq4VAxdNaLVaxRRW/kIAXBAsNFJzu7e0cHgq\nJ4Tujuh+fqmgQ/5iUdo+95cYp81H2bIFpDsiqTGfvGD6S7qnuMqDjrzggvfHk/D7ouHO+vTfS8yW\ntjC570033dR4afDx8K2HfoGAo7wk8OLlLhY++Tw4jodE7ujOb56SyUsa+suov7y6K4OnCWMR4/q8\nxOYlWrkXx7rrgs8nl+GoMl1bW6tl5gapz39P65IbQW4I+naW61qpcICXSKTfyNCDirwtuSsK4+T3\n8m1JkLuPjCJXAmtdnv1eUqVmcEa+DU0/eWFET9yFxV1CPK2apznyFw+u7+fl5Sz9ZRxZ84Ll7gVe\nECd3ExgUW1tbunLlSqMMp2/NeqooN0jzlwx/gffUUawh7lYEvICJBy16wKGXUm21WsV0mHz3NQoZ\n8/uoL7Mk93c3QU8n6M+rfm5debCv1HwmlEgkJybctRA5egla4PM8f0ksBQz6mFLwYi9cDemDB7Ch\nB16cyud/3i/a6SWAmcfuouTrAWNSCnb29w9fn/OAUH+ZLbnI7IULnBRuBoFAIBAIBAKBfYyhytli\n5fFmzVt+iUFwK2B8fLxYog6Lx1kRD26CrfI0Kb7FyfXcssjp9dJ2XikNSj8Le1hmpt1ua25urpFC\nhf5iXXq6Ebfqx8fHa0ueT2efTp8+LakXeIHMuYcHvjBu7i7iW5NYXliB58+fr1lFd8lwlwXfos8T\n049i9W5tbfVNl+QMMJ+eLigv38l1PGDFUzYB+oiVi1XsVq8XUXA2kq3Cb37zm5K65Rrz9GdSc3vY\n5eupmUYtmtButxtuKJ4ap1ScI7fIPVWeM87MA/rB+MCS+y6JB/Z5oAbol5qrtD3pv7urTM40jMLM\nrq+v67nnnmuwP65XzhZ539fW1uqtez7RLdJiuTuXy81diDiecaEAgrMsecAU53uSek956K4Pzlju\nBTPrY1hi7H2++FhLPSYW2XqqwrwUt9Rk1JxJ5Hse8Ea/pd7zJy/BW0r87+y2B/rtVdDy1taWlpeX\nG3OF+zFvge8s5sUo/JngO4c8rzjHg8p8N8rXDg/2Rp4ekNgvWMnb6yyj602+jgyDdrvduIevB/6e\n5bucKysrtQzQB39v8jK1JdeI0o6ZB3G5u07eNp/3rgueDs+fK4O6bQQzGwgEAoFAIBDYtxjYYzn3\n7fCAiFKqEre8qqpqMJDum+I+XZ46omT9ug+U+4N6MYZOp9NIR1NKku/WPW0dNdXJgQMHGuV53R/V\nfU89WXm73S6mn4Hhe/bZZ3d8R0ZYax6QkBdkyD89mML9oxYWFurxImDE09Dk/c+BxXf27NmGT9Ag\nqKpKq6urjQAQ9zXOmYK8j7mf2osvviipyfLv5iPONe68884d93LG2P3d/Lowwqurqzp+/PiOa7v1\n6umQfJ6Mwh6wM+OssDOJnrqv384HvyELGAVk7PPc2Rafc56I3oM4nVEA09PTDZ9Yn+cuY+/nqMnS\nFxcX9ZnPfEYnTpyQ1JuPeUJ2qclAuY/mqVOn9OSTT0rq6c7rXvc6Sc3y2IyNJ/pH/7kH6yW+/DCv\nzGuOO3v2rKSdxSk8oMeZGJ+D/XabRkEehAK84AXwlGa5TyjrJbKiH8xrZwgZv6v54eafvnvAzk+/\nwFLXVd/R9CI1PjenpqZG8k3kecX642PqBWJKvvB5EDjH0pcXXnihvlcOZyJ9F819MZEjsmCHzOdN\nvn6Xgp/53UvJ5jvBw64DBDr5e5UHDpYCQPPgPtZJZIeOci0YWy+C4joJ3E+ZtiBbj5fJd3Hdr7oU\nv+Frc74uDCLTYGYDgUAgEAgEAvsWAzGzrVZLs7OzDVbVGVrgFgZv94uLi7Ul6cc6qwhKPh79iiDk\n1/FIOffbykseYvl4W5wFLbGjw4AMEc5uejlYLyvpLAaR5lIzQTqpb4AXRyilyHDW0tOFuT9znmjZ\n/cBgFBknZx2caTh9+nTDShwEVVXtkIkn2fd0UZ72BB0/e/Zs7SfoPtQlHzj30+N8dNVTsGAte8YH\nL4t57ty5uj+kcHMfcU91h6XMNXJdGwZbW1sNH3hn1krsV74zwznoiZcGRVZe8tN9afGj83XAU7K5\nj37u8+e+XKUMG/1S4eTnDYu1tTU988wzuvXWW3fcr8Qm+zqETB5//PH6/2984xslqb6mJ/z3iHCX\nP7rJJ/J99atfLam3xpw8eVJSj7nNWXjk5f6p/p1PZ3BGLRFKlogc9Mejr31O8/vFixfrvsFG+mep\nfDt6RWYars29PNsHbWJOwHbzrDx+/Hjjnu4bznf0wPs7CoMo9dJI+S4BukpbaZ/HIuR+9D7urJPo\nohdK8YxGnpnEn/melo9P2pSnRPO4GE8ZmJdYzu+B3J944omhS1rzrALOyPoOhceX5GVg/VlMf9gt\n8DXFU6r5e4jvWvuY8Z2S1Mj26NGjjfK7/j7oOuu7p4PGIgQzGwgEAoFAIBDYtxiImR0fH9ctt9xS\nRxnuFiHpedNya9LfuD13LShFY2K9ecScW4qlXJE5C4YlnCf6zq8NduvnMCAfm2dSoB9eZrKUTL7T\n6TTy7JV8hjy/o+egLMmKNjozh4UFG9But+t7IVusLn4HWHb4paFbCwsLI/nM0l5nCd03kM88X6+0\nM5+gF+ZgbJxp8YwayNejnl1HYbxpmye2zxO74z8Ljh07Jqmn56Uobe6xubk58k6Cz1EvnuK7K86U\n0I68nZzj2TroF+0HnAdrBmgD9/R81O6Ln+/MeIYFlxO/u2/bqDIl8t4j0H13yv2/0bvnn39eUpcd\nueuuuyR1M1/k/UTnkJeXEvXoeJcJuo7+4UfOrg9/h0lvt9s1aw58t8k/S3l2R4H7G3uhEuD9ZSwu\nXrxYs1qwTu5n6Dt6vtb4c7BUIMR3ZthFYh15+umn6ywxtCmPZJd2ZpTJ75GPxSjM7Nramp566qnG\nrpnPdY9N8XzEnU6n1l/YXN8Z8cwTPj/5nb6XCi257zI6iwzzwimug5573Z+B3PvZZ59tzNdrRafT\n0cWLF+s5yXXQUWfhPXYl91v2HU7YfXSXXQJfQzz/LL8zz3k+s16wM8h1kT2ZPlZXVxs+yu4/7Yys\nY9D3qmBmA4FAIBAIBAL7FgPnmZ2enm4wdiXGwDMN8Pvi4mIxX6pH7DlLxT3wr3G/xVKErLONWM9j\nY2P1NZ2tKzHP7sOyFwyCXyvPtyr1mCn3Dcx91GgvVhTWMX5z7gOLRff1r39dUm+8sKiIWC5VqEIu\nZEnAojx+/HjNBNBuGCGuwe+0kWvAQuwFWq1Ww/+wlMPTfQpz1gRr1pkYZxOx9NEtIst97JCNl/70\nMtGex3diYqIeG9gMr0LEubTBMwmM6t+Z67pbzu6nVSot22q1dlStknqy4xwYevTFGSnPauDX45MI\ndICI/PEAACAASURBVI7j/NxH2rOS9Ityzv+ObuSV9EZhZjudjhYWFmo2zRkp4IwgayDM7Pz8fGOu\ne+YRdI356Mxlnk1E6o0D9/JdBY8sh7k9ePBgI+Lb/ehLFbFyX/5RS1q777izpJ5ZwaO+x8bGaj9V\nZ7FZm53Vpp/5NfJ+M3dhsdxXuFR2fGFhofFM8nv7J+sF/b906dLIPrNra2uNKHZnLL2krz+fx8bG\nah30HSh01rNI8N3L2nIdz6TAmkEbWSNZG8maMDc318gV7HEnnpvWdzGnpqaGluv6+rq+853v1P7o\nvjtIf2mjz5s85sfXeWTzxBNPSOoxqnfffXej/VJPhs8995wk1WWL0cnXvOY1O67PnOBdAZ1/7rnn\natl5bnR/JpdidwZdU4OZDQQCgUAgEAjsWwzEzG5uburcuXMNZqoU1e++ZRw3MzPTiDSsG2Q5TrG+\n+Mxrf+fAcuhX8Si/nlviGxsb9bVoZ7+KZfk1PA/tqBWAOp1Ow2/ErVTPB+l5dfPoUGezvO/0D2uK\n/hORiE8R1psz1li2f/mXf7mjbbBCExMTjfy4nOs1rWE3sNJytnLUfIieoSC/j/tdec7QPPuBy9V3\nEbzCCXJHV52V4Pd+vqT5757HdXV1tf4NpsX9xTxbg+8ijKqrefUuZzLdN6rkY55Sqs+hH6XoW/QD\npgDZIGPPduDMlFe+yfuRXy/vj897r/3u1Y42NjZGlunKykpjbrgfn/sUwuSid6997Wsbc97ZUeYX\nfeSezHnWgG984xuSpMcee0xST56sFe5jl/sg0zbmEPf0SoGe3cDX3/X19aHjEfBD9uhz9910f1fm\nOMfPz883qqOhSx4P4D7vMH8e5e7R3L576G1EHgcOHGjk9fXnBDqTVzDM77G4uLgnuzOlHMDMA/rg\neW/zXLH8xhx2H2LP9oC80FF/D0HnOc8j+L2iGqzlqVOn6t03z7/qPrPOzOb3HlaunU5Hly5dKuYh\nLs1/rwq6ubnZ2GXmmcx39ObLX/6yJOnb3/62pGbcBvd67WtfK6n3ruAst+dER7YLCws1k861PIuS\nZ8MBeRxUZDMIBAKBQCAQCNwQGIiZvXLlih5++OEGy+EsKHBmLfevgt0AXt0DuJXqFkTJ9xErztkV\nkPsjOasA8gjwvD/98msOy8yQY859dbBiPGIRHzaOy6O8S3n0YF+cfXRZYsXj9/bQQw9J6kbRSj1L\nF4uLNlFlKJcXDEKJ1Xb/aiy/PDp3lCwR7XZb8/PzDV9Kj5R1/+5+1ezQFa92gx54toNbbrlFUo89\n5O/O5Li/odes9lyAOYPvuug5UEvM7JUrV0aSa25F+5z1/LilnZqqqhq+rR4NjQ57pSEYRHy5mCfu\nU1/KH+zsT56L1P3NvJa7Z0xhvo0y/7nf2NhYzfR6VLa3x/WDuXPkyJEGe1MaE+SC/FkjnIlizvuO\nmOuXr4lra2v1/519d1bUGX0wii9yp9PR8vJyY/57GzwXLqDNMzMzDT9Q2olMaCO6ik7C/LFe8nfu\n7dlm0F33B8+fffyGDjrz7jnBuSe+jKPuzDhKPsfe9n7stO+ulvJsk7HFddJZQeTOfPDc877usmNw\n6dKlOmqfa/AJfI3zeTYK282Ot8ceOfNaygef7065vtNumGfWEPy1ietgLMiGAiN7xx13SOrpk7/T\n+c4m6/Zdd91Vv0f4rrPHRfWrEEt/gpkNBAKBQCAQCNwQGIiZ3dra0vLycqOSkfv8OOviVkJeRajE\nzHglI4/wdsvJI//ccgLOwkxMTNT9KVntbkGWqooNi6qq6nt6ND9WlzOa7hO4srLSYEnc4kdGLku+\nIwfPRYf/HL6xWGlUGcJSxkrLcwzSfmdmsYrpB9Y3FuOFCxdGyjM7MTGhV7/61XUUpzNJ6IH7rbmf\n98rKSsOH0X2P3ccS0Cd0lfFAjjBxvrvgUdH5Lgb3YKwYC/dhKjGzo/h3Esns/uylmunolbPGeQUw\n97vl2s52I2MYA6x+dircZwsdLvmZ9atG5syHzznP5ek+1KMgpdSougXD5AyNjzEyWl9fr49FPzyL\nC3L1am2MGZX6OA6mhj67f6tHe+e7CZ55wrN90E9YYWeTl5aWhpbt1taWlpaWGoygr+3uM+trYf43\nr0Dl/qoeH0A/2aHheH/esOb7HHDWa21trR5zGFfWEH9eun9ivhM16vNKas4r9yF1P2LGIa8w5VW0\nSutIqbqhxz/keWPz30uZasDhw4frNdnheVc92xBtmJiYGJqd3dzc1NmzZxu66usseuXIn13+/PLd\nQ54TzPP77rtvx7VYP3l2+Q6OZyLwZzRtPXz4cH1vzz7h8RHOeufP5mBmA4FAIBAIBAI3BAZiZsll\n6n57Drd83KKYmJhovIW7X5pXlyqxYXz3aGa3HHjDh/nj9zvvvLO2VtyKcYvB82YOa0E4Ukq1BYR/\nFVY9lpKzrf0irvkbOSHdT5R+kXvQ/Q3dEoZ55RM5wAb4J23/7ne/W7fbo+vxJ2VcYRg4/lvf+lZ9\nzVEYr7m5Ob33ve+tGSU+S1HtyIDPnInyfrtfZl5LWuoxTrBWsIRc26O4GRf3ucOfCT/RI0eO1H7N\nwP3raBuMOMjzgg6rqxsbGzp9+nRt1btfXGluOjPb6XQakbsekexj79dEj3zuet5LZ30Yo7xKkzOc\nPp4efU5EMDoyqg9iSkkTExO1XsA2+1i776b7Bp4/f75Rm90ZGeYZc91jFziOvjpb6n59/I48wcGD\nB2t5ck364xlagMdeLC4uDs0idjodLS4u1nPRn1n9WO1+bckziLB2uF4jY9998hzKyMHjIUqsn+vs\nxsZGg6VknqMLnv/TdWZxcXHPdhKk5m4V7UIfWNN8p2VlZaWRgxaU/P/pE9dELswb33XzXVnuR9vy\n9Zf1JGfkpSaj7L7BeRtHYWbPnTtXryeMqc8HjwOA0c/zXSML+lF6DiNjdg1cxr4L5LEmXsULcP7M\nzExDnz17jzPxzvYvLy8PNP+DmQ0EAoFAIBAI7FsMzMx2Op1G9ZS8AoXUs4BK1Wdydtejym+77TZJ\nPUsCK4TjsKpgWN3y9FyftAkLHeaP48bHx2tLoMRa8On+fbRllNrsGxsbevHFF3XvvfdK6rEV5NKD\nzUAebtVggc3OztZ+hPigEU0LU4uMyB8LY+h+Vs7Ucg/GAIsQJpaxIBfo3XffXd+Da8IG0wZ8WZE5\nFiV57y5fvjySb9f4+LhuvfXW2ieIzAwAloT7oo9Y/VjHy8vLdX9hzJxJRdeo4IJeeH5a/JDwQ0QH\nuRfXpRraV7/6VUm9XIFHjhxpMC7OFvkOhjNr6+vrQzMzMAjux00/POuDV5zLdwqcKXMWqsSW+s6N\nV3ZyVsy/e77IsbGxRrYAZ9C94g7zCYyPj4/MdqWU6vlF9hD8g6na4xlamDt5Xk50DPkwN5966ilJ\nvXno+TTdh5wxdPbHv7PGICvm1W233VbrKjrqWQ2c+XYWaBQWkTyzrInOWOVV9aTeOsXaiRwuXrxY\nt4/sA/QDv3/0xplDjz1g3GgL9/LsFKyrXm1tamqqHnPALglrUB6vkINrnz59usFYDoqtra1aJqyJ\n6BPt8R1Rz49dVVW905VnBZGauYwdyNVZX8+57bmDuY9XZjt06FDNzCJfl737f1J1L18Dh30H2Nzc\n1Pnz5+sduNe//vWSmmuixwWgy8zt73znO/X7A+udy4rv+XuD1NNl+sC85lnm85/dKfSKsbrnnnsk\ndd9b/B5efdV3mT0P9aC6GsxsIBAIBAKBQGDfYiBmlnyInjkgr+wl9awa91fLqxbxVg7rhEXhFXzI\ncwZD6Za6V5ry37GgyCOHZcJ9Z2dnGxWu/BrOiHhOxtnZ2fq3QbGysqJvfetbNavHJ9W1qIWM7LB2\nvFpQbrFjhcEAen1mLGIsJtgcLGKu7T5tzrBjzWGt0dYHHnigwYzTbpgSZ5bJmPD1r39d0uj5UDud\njpaWlmorF+vVK6e5vqFnMAwrKyuNPLBcAz81+squgvu1MS/cd5lxgIlj3qCrjDks9/j4eCPrBxax\nM5DAo/eXlpZGjmamv169jznteVKv1kaOdd9G9MKriznD6lWTaIOz485+5YwRawJzyCOVkRd67uzH\nqBWVuCd9Yo5QQYp2eZ/RK36fm5tr+F2zzsGgOfPo2VHQPfrozCvspDOAXnWp1WrV/2cuIUeuwaf7\nH+b+6sOyXSkltVqtut/cy/12kQNt9ZiLm2++udZNWG5kxK4P88F3D/254ZXj0GnWDdYBPkHua4us\nGGfWIGTr+afRd8bxhRdeGImZhZXlufq1r31tR3s++MEPSmrmzvYsDK1WqxFzwVjBTNNvnivsKnC8\nZ+zwrBLIm/HyDDp57Ig/X31tQw89E1C+0zts9h0qABIjwXPb44a8TbDJOSNNP8jD/cUvfnHHuTzr\nWVM84wjj5rFKrAewx8xR3lfe8Y53SOqtA0tLSzt2v3OUMiHQD+bb008/3cj/fDUEMxsIBAKBQCAQ\n2LcYiJkdGxvTLbfcUsxfCni79+g82IKJiYkGq+C+Kpx78uRJSU0/Re7hLLH7YXE92oA1hkXSL8+s\nW0JcA+vMLcq77rqr4Ud3rcAP8fHHH5ckfeADH5DUYxLwIfV2wxLBAtx88821TF1WWP7IAGuaTyxi\nGEAsWHz1vDIRjBEsD/LLmUna4AwI7ebvWOGf/vSnJfWsaM86MCja7bZuuummus9Yjn/xF38hqVnF\nxxk7r6KWg7HGp5UxQL9h+lzvfVcBuSJHxhj2yKuvdDqdhu+oR4z6PXyOjsIiwiCcOHFCkmqddQvb\nI4DRD+SRVwBEdj5vvVoav7s+eV5Q738pqjv/HQYhrz6Xt8F3eVgPPP/0sPAME1z/sccek9Sbh+hH\nqfrbzMxMgwWnvzAo7gvL/OPTo5WZhx5PgI4yps6QHz58uGZkOYc4ANgd2sCY0W9YxE6nMxIzOz4+\nXjNK7MywtgHG2HWV+05PT9cMGPOY+c8chJlFRsxXr03P84TjPf4B/WI8kS3jnzNc/ObVBT3XO7Lk\n2mfPnh0pf/fKyooeffTR+rnEswO58tzi/v685vPQoUP1+POJ7NEbxo4+ssvA+lqq0Mn40GeAnsFO\nwvhubW01dln8vYJ1ijWZqpcPPvigJOmRRx5pZAYZBJ1Op24vMuV56mui6xGfKysrtWzQWVhedj65\nBrqJ76tnI/FqasiYcX7rW98qSXrve98rSbr99tsl7cxM4bpYyoDAcb479OyzzzbeLa+GYGYDgUAg\nEAgEAvsWAzGz09PTuv/++2vfDhglLEjerPmOleZRwVNTU/WbP0yA+yN65Q3gb+owAVzPGVqYBY+O\nzi1Ft8boFxaj51bsF+k4CuOVUqpZmPvvv1+S9OY3v1mS9IUvfEFSj6F+97vfLalnldLGo0eP1r95\nvjb6jvWEDPDN4hr42XhlFs+r6lY3ss/zLSJLr0CDZUhbP/e5z0mSvvzlL0vqjfeozGyn09GlS5dq\naxlWi3FHJ7E0YQEY+zxfqbOgnMO1kB9t5xqlmutesx7GAbaFT/cDHRsbK+ZkdIbJ50FeAaqUH3o3\nEHXLPYm2x7/b56zXTM+zZWCNe+SyRzSX/K3cJxbd83yKfl4/X1vXCRhzzoHdwmfSc676vYZBzg5x\nfRhMGE3P/OEMXj6uzmh6LlMYGz5hgbgnjI37HMP8eDyBM7Pz8/N1+2CBWG/IeuI7Pswb9/MeFiml\nut+PPPKIpN66gu7mFcuk3hzN2W/mFIwe/UIH6Q/PBdYa/u75Qt33mvPQYdgwzyO8sbHRqODmOxvo\nLJ+MJ20cFVeuXNHDDz9c35d2oBcw9vQR/WGO5Wsh/WK9850OnnXuU5tX3eoH5iu7EYwXv7sPbh4b\n4vlU3acf/SD3+p133imp65vq7yqDIKVUy4zYFhhXZMb6gw54TuG5ublGJiKe0TDJntkBmXjlUdhx\nPj2nMrLjWeg5fjudTrFqqbPAXvEyz+M9SDaTYGYDgUAgEAgEAvsWAzGzRKh6JSQAE4tF4RYsb+Dt\ndru2HLCAnS0qVWbyfHVYdZ4fzVkW4HWOx8bGdli++blYK7SNa2Gt5H5mo0SI51bZV77yFUk9iw+L\nCuYWJgWfGM67fPlyzYogK6/Q5FVjsFCxoDz62Blaz2NbqtrWbrcbdcXRDY+uxYeVa+ZM3aj+ncvL\ny7U1C7tFGxk7+oys8LfCok0p1f1DT5y9cd3kd1hCGDWsWI/qh6Xm06sS5X67tB9wDMwZ9wT96nsP\nK9dOp6OLFy/WvrI/+IM/KKk3L5w5gAVwVqPT6dTtcd95ryzkDD/HI0uvIuOVa3ztcZ/oVqtVz3va\nyZziWPrrfol75TMLfA3JI+rzNtM+94Mm20z+m8vR/VK94pHrj+82+LqKfD1/bUqp/hvrBpHf+MSV\nWPZRs22Ara2tWg7Ma9ZR9MRzxfIdPVtfX2/sTPHMyY/J++PZCuiXjxfrsGfPcKaSud1qtXZkJZF6\nOuo+54wX6xws5ZkzZ4bOvCP1KqsB5gK+pPhQsq6jq54vfmpqqpFFiDFBX8hE8573vEdSMwre8xL7\nfPT84MwjX79nZmYafs2eFcV313jHIa/qZz7zmZH0tqqq+h60l0/mMHrlmZ9gw6nQKjUzsXh2k367\nqVLzfcszKvh1aRtjl69FvubQbt8FcV9g5DAzMzOQf3cws4FAIBAIBAKBfYuBmNnV1VWdPHmythiw\n9mAM3NeM32EBeCOfnZ1tMClef9ijl4FHxnFt4Fay54frl1MWK8MZWfeVxRqDucQfaZToUPIhAvxl\nyDTwpje9SVLPkoJZoA15hC3y9qpJ7nfiPqDut+iWK/3zLAme9aFf3k3GwZnZz3/+85J6fnRehWkU\n3076uLi4qEcffVRSjw3yjBWwAO47i17Nz883WEOvYOTypg8wLPiTOZvo/lm+i+A+g3k2A2TjEbTO\nTNJmzhvFDxHLn1zA3//93y+px6CgB+5vhkzzijtebQs4k+wVaPCncrj/mFcjQ4cZi1wezqjxnUps\n+JL7PMpluxe5Zn2+ck38WR944AFJvd0bX5/6tc2v5VV2PDcw311ujCFrv+dnRa5geXm5nnNkP4Hh\n9opqnrkil+Ww+oqvu8vBqxmym+AZR/KxdtnByLIOeoYN31Hh0/OgevUkPn2nABnklbe4FtdAhugw\nx7GzR9u++c1vFquEjQLWOnb7WNeJokdPuPf8/HzdX8+fSv+/+c1vSur1n5gPr+Lm+Xs5nrWjNDdZ\nI+fn5+tjeE65nydtdSYfVnR6enqk9wCpt+ahH+wm+A4Xzyz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XdEuex1fF2kcly7MzWG4t8NpV3Pv8+fPttbGIOiviWQgXQfQ7LWVHw7q9vr6e\nZTwsZdTxfnF422MtjVLWMreU+af7hEcfYywJzuAAZ8kWhVtT3E87WpO9Lon76pZk6xaXEksT/++W\nKHSLe7u1sVSvJLIvHt/lOrFo5jEsaO6X79a0aNVyWQHP7OP+0MjBLYdgz549GaPl80up9gv39PbH\n2Ca3MrouY92CNXnyySenyuxKaJpGW1tbGdvj8UwxbrXEiPhYdoubMyL8jaz7/X6mI/7cJWt5ycIb\n67+5BRcL86LWVsfKyopuvvnmlm1E/12mke2hvR7b5GwU1/Q4XWemPdtmvIYzeWS18ixygHmf42D7\nB4PBVHYuXov2zhtDCLD6e3+7HsQ1vZRFMF4zfpZYU7dSR7biSvE8pSxkzsTEttDn9I9btpcR6wr6\n/b7eeOONjHV3Twz0cnV1NcuiV4p5cp3wGqJcJ66Fzi75nAFcrs7W+Lyxvb2d6Qrzt2eqmxZ/PAuo\n91SK0/f5MsamluKFnMHz2GNHXPv9mFJWQZ9bPeMriGxMKRbR+3gZ+6rBYNBer1R3MGbHpA3en3zv\nKO1VnUnudDqtzpQ8uErZt30P5x4kUh4T53Onj6urxczp3VdWVlrXitIGMFL0dA6fnr7WqcLSYu4v\nWpHO9U2F05CliYFFjeNOnDjRXo/f2JjhNuKB0IuCl1HfmPuLVnw2V+LSp7tEXCnF6GAwyCbZkkuS\nU8AeGMp1UNSYnMKpX3+Zi24i82Kay6JPpHGR8bb5Yh4D3ONnKYV51OuSy2Rp8+UTJMfHQHhptPkq\n9VdpEp610J6j5NLrm/Fer5e9UHkRUy+yOc3tMv4dg15L/cO1+Z4NvW9o/eUg6ovPSb5x4HcvLDwr\n2BSA0stiPL70YuJFWUsvP6XFKRo93ADixrCSscXdReKiiu66QY3ncVetedHtdnXo0KF2TNE27s99\no+7RXk/2wTV87JTkMy2Vsyew4R7uIulznrvo8jmt3ei2bxgxEi6jYGksl1HaREV4P/oa5EbSK7lm\nT0sEVEoND0oB9f6CHJM+uBusp9X3ay+CaNiMcMMToRmHDh0qjj13Z3XXLDc8oW/MYf1+PzNGeEr4\nUliDGy49oVlc+92tcNoebZE1KqW0q799DfE5PK4l00JI4rG+9rkO+zollUMMSns14IlJ+DsmaSu1\n2xPOlOb8WZBSytYjT1wR07y7+znwhBXTEtFFxH7idzcyuDHZjeSlvY+/mG5tbRXDjLz//CXuSqiu\ngxUVFRU++bBtAAAgAElEQVQVFRUVFRUVFUvGzIzWnj17WkufW5+mJafwJApucfGANbdC+Vsr562s\nrGTWCXfdcCvKtMKKknTq1Kldfx85cqS9D+1/4403JE1Yr5Jlf1Y0TTO1GKRbriPrU7KwOpvhVsRS\nAGY8v+QqAZx18uNKQed79uzJXHK8+DNYlrUQuNXPrVvb29uZFc6t+KWEDtMSNfhxfo4nYfGgUmSG\n1RumwBmPyIjQb+6e6a4ks1piIpqmadvqhV+dhVpZWWlZYS9ZANx6XEpuM831wfvQrVOxzVJudaMt\nBJrTxujKBxtGemxYEXfxmxedzqgItBfVLbmXdDqdTCbOepaCiL08hhc87na7mS5dqT2lVMQ+fmOq\nf3eJKc3Z86LT6Wjv3r2ZJdhdg0H8m+dDt9EVZzV8PPM9ehOtoD7efH7w9qFzJFh58803d7Uh9rPP\nHy47GC2SecwLkuD4WuClMKJ+lNyxfByWEldczgvAddv7tMTmg5isIJ4/bW11d3OfoxYBa3+p3Z4C\nf3t7OxuDnkbb09K79d/n6+ihUWLuvaC8J2Hh0wtYRzfBaYwMMoh/LwOdTifTr2lMNvDC9KWkVKWw\ngFKCqGklTlxXfZ9XSsqF/JibVldXM13wMAd0YNH9FEyvs28lJmljYyObI92zzdchv7avV3GtKcnb\n+8d1zNdKZy4vXbqU7RdKIQizel1VRquioqKioqKioqKiomLJmInRwgLrFsxSYcvTp0+3/uO8bVJI\nkkBdLMn87tZEt+BOYwo4h7fOUvvcAuuMV0wFDIOFNfCll16SNLFue1G4eVHyKXYf63iMW++9+GeJ\n6YuFT+PvoN/vZ4xWqUifW3vcP9vbura2llktnBFAF5YRIB9ZQrdmTfPddWuIy9Jl5nIqpW+9XBIK\nt+a4z7sXMnar9nA4zKy1HtPgDOm8jBbxBF64D0zTBy+UGINl43PRRqyxzBHEgnrCi6gfPI/rFCzg\n66+/LmnCDLg/vetzvJaz6D6OFi1D0DSjwto+xrxPI0vlDD9wC6EHnTNXONPgxXjjOaWYSuAMKzrh\n88pwOGzHNr8hu6sZJ7Og0+lobW2tfS704dixY5Ly5BgbGxutTGKqfWmiMz5maCu/o+d4RjDPHDly\nJGMSPCW8r1n8TR/QJhgu7vHmm2+2z0AyJ8YLjAL9sWgsobSbASixUdPiTXwdd0bLr1+az+I9S540\nfv9SDFcpViMyISX2EiwjGQb38bXHixDDpJ86dSrzzogx0NJEN9l3oRMcTwIfED2OfK1whtf3VYwl\ndJrnoL2xX9yjwvtmWTHEMJ4+3hgjfEZdcT3ymHHvF57F2ZZSDFcE58JcA09q5fs+H9MxXtcTiTBn\n3HnnnZKkp59+epqoZkLcp95+++2SJro1La7JE82x3/e4V1BioZATv+/fvz9jm33P40y1x9UjY+bp\n6P3j+jgtsVE852pRGa2KioqKioqKioqKioolY2ZGKzITzghhXeHzwoULbcFUzsGa/a1vfUvSxI+U\nN3Uy7Nx6662S8jSk8e3TLVme2bDEaLllmvbTthMnTrSWcBgsYrOA+3fOCzI5TkvlGtsefd3dGuCs\nizNX0wrKca34+/b2duZT7AyA/+1xCfG5/G+/v1vOYUvcsjwvnJnwQp7RelZiEmkbulEqkIvFycsT\nRJm6hYX2YRHnk/7zlO0gxnAhd7eyORbN5tbpdHTgwIGWGSC2CdCOmJ3TLUlYp2CHX331VUkTdgFZ\nYjF74IEHJE0sc8wVkYF0yzL9BAPwzDPPSJJefPHFXe2jTYw3dGLfvn1tP/lYdN0opaq9WmB9RS+d\nLZyWot/b4jGSbhn2uArm5mmxhqWSDZzrGbw8ztZ95yM74Awb+sM4QfeXwWxN8xBAxozTaamr+T9r\n1ssvvywpt2SzFqBrXoIjMvMey+hxFC5b1+uSN8Lm5mY7nmC5YAnf8Y537HpWrMrzAj2N2fliW5Et\nzxrnIJ/zPatYKTshcPZq2rG+JpVKbwDvA2dm4zmlArKLzqdcO6bN93u6J0Cn08ky3SFX9inoLn3C\nfM2nlzcA8W/PrFaKRXXPE/SRccFcc+7cuYzl9jkkxkEumnVwbW2t3Z8xz9xxxx2SckYvlsxwPfJY\nNM9WCWvIuPd9TMwm7ddkHLMeITs+uYfvYWJGWv+N+zLuWUff+973SpIef/zxotwuB/b973rXuySp\n/UQXPe4urlPMCSXGrhSP7Z5DyGnv3r3FzIUeD+rzg5cS8NjSGNvLJ3O9l1SaNe6tMloVFRUVFRUV\nFRUVFRVLxsxZB3u9Xmad9Ld0cMstt+jGG2/cdQxwy7PHcmGVe+c73ykpZzmibz3wt+BpBQnj91gi\neGvFgvnaa69llgXahVW9xOTMipSS1tfXW6sjFhj3K4/+w7Tf4xxok8fAuFXOa25EK4nXRnB/ca9/\nhpXgSsWIpz2Tx5XQx7fccosk6Wtf+1p2jasB8URcF+uW+2dHSyEy8nppXv8GuNUEmbvFMbIvzkY4\nC8QY8JgYnmNadjq3ygKPIUTX50W329W+ffvacYksXS7IY2Njo/XL9hhKvr/tttskSS+88IKkCcPF\nZ8wwGo9vmiZjl5Ah8wnXfPbZZyVNLL0eA4N8sPiurKy0z8S84Fm0POZvXnS7XR08eLCNSXPG1a1o\n/X6/WOvFx6VbaUvjGUQWwi2BsU9juzyWEP1l7IBplnivYYhFfhnxmZ1OJ7NE0nbiCiL773UUjx8/\nLmkSg8Vz8Te6VIp3ox/jHMi86HGJHlPnTIUzfZy/s7OTzQesB4xNZ2vnBV4XPh7dCyCOkyvFZAH/\nvZRR11nWy12jdK+S5Tvquet8KdPashDHhscB8xmz9HoNQs/O6BlTve4nz8W8F3WDZ/Rro//8ztxB\nHDtzLrqKHkZd55o+x02r/7goWxjjl5jXmWPR3Zjt1BlE2s8n497r1rFO8TvPhGyPHj3a/t8LkXN/\n2Gg8qLgn9/AYvBhzxvimXcxfnIMnyMMPPyxJ+tmf/dmy0C6DPXv26MEHH9RDDz2061l8nx09lXxP\n41mZ0SX23CUZ3nTTTbvueenSpSxuLdbBiu3wYsPos9dYjGPa9SOyXdJkbp2Vda2MVkVFRUVFRUVF\nRUVFxZIxk/lwMBjo/Pnz2Vupv63yhnjw4MHsWK8XgnXQMzy51YDYrRg34b6W/hbqVdA9iw8WAOLF\nsGReuHChtdLdfPPNknILEO1btEYJ1h6s/NzHfVhjFkCsH7yxc4zL1C1LAOsS94w1NzymwGMFPNYD\niwyypA20H0vAgQMHsowzXtMIazPMxbzAAku/c13YQs86OBgMWpk684reepZBZ5vAtHgqZ3o9jov+\nccu4W/04LlrjPZYO0C4YZY/nmBWrq6u64447Wr/vEoNGfx89ejSLs/R4ImSFD/m/+lf/StKEhWKc\nwnagP91uN2PT0T90n7HMGGDeuPfeeyVJd999t6TJ+KbdTdO0csbaxrVoL8+zaMbRXq+n6667rrW2\neiZH7hczaKE7ziTznM7YeVwgz+bMysWLF7O6ZsDZBWfQnf33+IvIGDtz47EUi9YmGwwGOnXqVCsf\n+hfZeoa0s2fPtvr17W9/e9fzOZvN9+ihezs4uzwYDIpxLugb9/Dx6RkNkR9ywlIvTeYDznGL7qIs\nYUpJq6urGdPK357Zbf/+/Rn76fXursRaXC4LXSlDYal+pMe3uGdLjPVwPS1lIC3Fws6ClNKu+nW+\nxoJpWdEA7XOLu8fNcw3iY9FH5rC1tbWMueeTcY4MWCuZp/mbPZGvlUePHm2vxZzuTE2sE7VojNbq\n6mq7p7nvvvsk5TFqcY5j3DD+kQ3yYH5mnihlwWUOjrHWnhnb2Vdk5rkAuAdtYNzzXEeOHNm1HkqT\nOYRrcKzHpc2K/fv369FHH21lyDP5/BcZUH6jDT4Px6yv0kT2xFSjc+z777nnHkmjWDvWcs/+6u0B\nrnsxJ4G0m5n3mqY8E+1kb/r1r3/9sjJzVEaroqKioqKioqKioqJiyZiZ0YqxHu536tje3s7e+ktx\nDVyLt05nq7CaxKxUnqHJrftYC5wdwrfYLX533XWXpJEVwZkdj6dxlmJe9Ho9HTt2rGUKSnUGuP/F\nixdby4Vbqz1GACCXkt8vloB9+/ZlWbD87d8z7WBNQC60GwsMnzGjC/DserQLBmoR9Hq91vKBFQLr\niOvJ2bNns6w3yARdweJEW71ORCm72Pr6epa1yONV+KQfS5Xpp8UneFyi15XC2oxV7vnnn58usCtg\nY2NDDz30UCtD4Bn4GN+rq6sZc4WOYPlzH2q3OsIWux9/t9vN6j9xbRgtmAF8vB988EFJEznQb4yV\nOEfQLvoNXcfqxr0jqzAPut2u9u/fn9Vic2t5rOnD+MNqSXwEbXNrssdceg0+5LC9vd32V8zuKOU+\n+F4fjX5y63+cIz32xeMyS7W65kGn08kyBaK305g9+ps20Db6F+Yf2fPJPIw8uGdcI9Arr3XlsWLP\nPfecpEl2TPTXmTCP5ZUmfQmDzBjg3EXjikp6ChuCtZqxdv3112fWdp6zlBnMMwV6DFvMeOleBbSn\nVIfO479K2TW73e4Va2/5vRZFp9PJYsU8VivqmTNUzn55fB79wLyMbqJnfN80TZuZz+tCoYushegq\neu+eI9wzfsYMhPHTY5sXjSfsdDpaX19v45PwXPD1Ar3a3Nxs28B36DGycc8C9J61pOTVE5l8+tQ9\nZDyzoeco8Ey00ePJ66fSXl+/pu0bZsHa2pruvPPO9jrMf6V4xs3NzbYfmXeZQ2Ho0DGYKuLIfuM3\nfkOS9Gu/9muSJt5m8b2A/RwyRA6e/dX7Aw8V1kr6lf6+66672vwAnlWbfmGOZW3A4+5KqIxWRUVF\nRUVFRUVFRUXFkjETo9Xr9XT48OEsy6D7bE6zDsN8uPWGt0qP/eEtFMsN1hGsJ8ThSBNLhPvUO4Pj\nNVp468aCG2NIuIazLZ7lhzf0ebG6uqpbbrmltSa5BQREX3+P4+K5sGgQl8M1ON7f8D3bTqz74HE1\nbt33yub4AWNJ8xpEnU4nq6XiWaC8mv28IDsm1hQsILQJC1Rk1LAY0Z88v1s9sbB4TBDnxZg0rhPZ\nyHhfZMqnf889aZv7aa+srLTX9Dg8j6dYlH1ZW1vTvffem2XdcUt0rIv0yiuvSJpYkGCy+B4rFf0C\naKuzhDFWyettAGdquBb3JkYBcO9ojeUaXNtjT+mXZehpjItEdzzzUfR9R3bf+MY3JE2Y/piZLJ5D\nW6OVNX5iaVxfX99V/0XKGS3PPMp4pR+Bx891u90sqyf95xZ4r882K5qm0dbWVlavy9eoaFH2DG20\nhWt4NjWP8UW/nd0dDAbtWEUPsZjy3DCSMAzEKCBbrxEZ102egfZyD67t15gX6KkzWaxZsAY82969\nezNvE2dpHB735VlF4xxQqpflMVgeZ+GxNSBmDnbvF6+D5HuNRbGzs5MxA/E3aaJ3Tz31VOYVAeLc\nKO2O5ZHyORXAUq2srGRx6Og5VnvPgBmzwMY2OIs2rc/QTWcbV1dXF8o6SNwr2ap9L+TxcKdPn27v\nxx4GHXDvHcYqawh7Wt+rxezOHq/K2ETGzOe+B+J75gXfJ+/Zs6dtL8wazIzvSX1vMA96vV4xc6DX\nXev1em0baC/rFTJjzvW4Z/QT7zL0gz44fvx4e4zXRmR+QnaPPfaYpMn8TN+j58SG83nzzTe3z4Lu\n+36PfkOv/vW//tdXkNwIldGqqKioqKioqKioqKhYMmZitLrdrg4cONBaWHjzx2rCGyNvn2fOnGn/\n75mZnDHiDderb/OJNYHjb7jhhozBwWrg2V94o3VrAtYc9+dfX1/Psu7x5g0bsqwYrZWVFd16660t\n+xLrpMT7xGx2MbYotslrZngtKPczd4v15uZmZkn07E+e+Q7rgmdDI6YpZnrh2u53DNxyPi/I5uRx\nYjyTM0zb29ttW5z1RLexmvAMWJo805fHRezbty/zD3f95Fy3SqKv6IZnlNrZ2ckywHkmLeCynhWw\n2Yy5WIdEmsgUvfj2t7+tp556StLESscYpj4aYx7rI/7PPB/f0weRXeV5PSMc1j2sbdTT4m+39sMg\nRN3EUgbbw7OiAx7PtwhivJnHZzrDeeLEiTYDIkwWx9JWt9xyLnOE6zfHXX/99a0MuTYy8/gBr5GC\ntQ/ELG7SaI7DCurZtBiDnj1tXgyHQ21tbWWZIT2DJ88Q2S+YIdrA+CSuEfkQ0wGbzfrCc2NpPnr0\naBt7SxwT9/K5OmYqk/L1kueJtbx4Jmcr+T56fyyCTqejjY2Ndh6FySIOxmvdDIfDLFutZ6wEpZgs\nxgSfl2O0SiyZM1kOZ2Ii8+rxXKVYx0XQNI2Gw2HGsvjeJ8bgxNgiaTLe6Wv6gnkQfWHN8bjumMHR\nxwbj22v0cQ5zCsdzTY+VWV1dbRk1jx8Hngl4XhDzDiPiNSvp6xjH5HXDvvnNb0qaMCKsEZ6VkLWE\n872e3OHDhzNd9efzWnTugcBY5nzmnH6/3867zE+sl+95z3t2neux0PMgjiHfp0yr1cg9yc7HXoA2\noztcC1m6VwBzSvTEYC/DnMq87fHp6D76yPzlHjTsVdfW1jImmGejvbQL/bpaVEaroqKioqKioqKi\noqJiyZirwAZvhLzJey2U6NvL/z2GI9askiYWF9gpruU+rjE+Ccsin5zLWz+f+BjzNursGNZg3sKf\neuqp1mrhljWv/7JojZKVlRUdO3Yss2B6nEa0/PK8PAeyxKLglc0Bb+ueFSiyd16nxWO03PpGu2iT\n++vStn6/397P6zvwN5agRdlCrB6eIc9rdsTYPa9jwzGeOc8Zo8guSXlcz0033dQ+F1lv0Efu4RZ1\n5MTf6K2zm9vb21kNuWhVcpksAq9N5vVxaAfj+fXXX2+PwcqKLzTWInSKGA+Pl8JqhDxiFi7XS2dq\nsOgiB+YCzoO1+ZVf+ZVd5999992tXpL5CaZt0extjl6vt4tBc9YYvUA3jx8/3lpVseohK+Yjxjxz\ng8+/pfiVixcvZvMC86l7BuAD75k4Pf4Lvd2/f3/2nWeKjQzwImiaRtvb222f8emZPyMDjOywqjJn\nfe5zn5M0mdvQY1hS5EH/IC/mzvvvv7+9P8/ldRf5mzmC42kf8mKNol9feOGFtu88VhCmifG3LJYA\nJotadDynZz/b2dnJ5kNwpdqbpWx/MeOoZ25zVseZPJ8LS22K1+ZcZ9xiPNeiSCmp0+kUs8wCxvr1\n11/fPhtjj7EI0J+HHnpI0mTser1SZ3iapmnv45mhnblytpw9GfPlV7/6VUnSpz/9aUm7M8UxRtw7\nIzIXi+jr2tqa7rnnnlY3PaYeGU/zniEe50tf+tKu54vZNOO1fD3wGoEbGxtZnLHHqSMHZOg1/Pie\ncUJdMHRHmvQP+xnWNvpj0dqEeAl4DTxn4aKXGqwgnj/MSe9///slTfZAzHPsAbgWczCypD9vvPHG\ndr5jjWduRD89Th4WzWPG0c/IUNKOj3zkI7vazT28H64WldGqqKioqKioqKioqKhYMmaiY5qm0c7O\nTvu2zdsnVgEse5GN4e0Si577jWKh43cyF0V/b2litXv3u9/dnk/2F6/jALA8ugWLdmJBf+CBByRN\n3myfe+65zEfWa8Pw7Fg75kVKSXv27MkYCbe4IK9+v99as4gxw5fa37qdGXIGyy1ne/fubY+BDXJ/\nV6wYHgvCPWmD1zfa2trKLJ88k/tIuwVyVhBLiO65bN2q1e/3W1ny6QyexwK59dFj27BE3X777Zle\nYuXB0uLsoMfVOBvlbFoE+up1aha1xMJocX2vd+L15d73vve1uuCMDVYtZMi1PIsR8HiPGH/mz+X6\niFWPWBksiNTv4BNmod/vt/93tswtvsvSU7eMen07WKrz58+392Z+RF/xhedvroEVFgucx8uBgwcP\ntj7vWAo518c6lkG3lLr1PzLG7h9fmk+xfM8LGC3mL69JxrwUrdK0hfH2+OOPS5qML9gB5MFxsAV8\nj45x/Hve856MdfGaZMjQM4rST7SNdZF4jMOHD7f6WBrbHp8yL1ZWVnTddddlrAT39zlRmoxRH7te\nV9Oz/LmucX7ca3g9H2dWaNeV4o29PlIcz545sxTvvAhSSlpfX8+yBwN0Arlfd9117f3ZdzBmuQY6\nyN/MvRzHuHBmN7J53jeeBZf52jPEMZcS2xQzf6LXzGX0s+9ZllXzyfeZzqDHjKnIgHkNxpZ50HWU\nc30MMx+wP4uMlmfN5lzmQ9/v0iZ0mDkm1pXztd2zwLpX1iLY2dlp5eCxUL4unjx5sv3/j/zIj0ia\nrMOlOctriHr8L+va/v37M6be8wMg0w9/+MO77s3x9MWXv/xlSRMG8ODBg1lGyR/8wR+UNNEF7kV/\nXC0qo1VRUVFRUVFRUVFRUbFkzBxgFK3oXjeBt/TIBrn/Lm+6vBGSKYU3XLfu8Ddv/PEtnmO4FtYR\njsHyhgXS/eGxbvOGzvcf+tCHWssLvqFeD4Rnx4K0CPCBlZT5a7sF9Ny5c62s8Jn3TEK0kba5v7xn\nG+Tz8OHD7Zu7+zgjW/cZjpnFpDxLjlvF4/+xQHiGp0XR7XZ15MiRzALjGW14FqwX0kQnSlXQvf+x\n0KCfXrvr1ltvbWXJNYjV8vpZwDNyeg2aaA1C7owrxmLp2ecFtXTQNZ4XnfPskzGDjzOZMHxu7fZM\nWvHeEbGmh3/6uKFdnsUIvcQnOzLIWASxTKIf6AYyX9Sq3e12dfDgwcyKx99eU7DX67XPgw87Fjj0\n7uGHH5Y00RGs4oxffOORF3I5evRoqzvOhHiWRe6FBZexgCWRfoxZPWkv/vGwPp7FctGsg51OR+vr\n6xmLjE55ds719fVWD5HzBz/4QUl5bB7rB3PD/fffL2miB7Qd9ml1dbW9NrJ1ZgugU4xX+s0z433s\nYx+TNFpP3XOBPvWxuCg8M64z0NPmbR+XHOPZ7nxNYp7yWFCus7293Y5HLNGs1V7D0VlU5FJi+fv9\nfpFlL2VzXQTE2XjmOdrl7PXRo0cz1r8Ui+RZnPkeGcRswDxnqd4Y53gMrdeZolYSevLII49IGo0L\n5k7mVO7hTG63210oRiulpLW1taxOq8dGxXWMNnmNO483L9XiilkhpQmzF+OJnMlnXmDO4Dj0zrNx\ns4eNmVE9IyayRP6ezXheDIfDXRmpPUNsrOsJkAX7fs89UGKXS9m243NzDHrn647vTcjC6MzeRz/6\n0fb5AOvpJz/5SUnSs88+K2k6ozgL5tp9lTY1LCZsYFdXV9tOR5F4eC+yyCLm6bK9U+MLGS8FvHC4\niwD3dBcChFZK+3377be3L2k+YFEgBgSDc14Mh0NdvHgxC1J3V7y48PhLD/CXQS8w6umivWjgsWPH\nsgQV/txe3Bm4S5kv8tEtw9NX8xv95MG486Bpmsw1Ef1E55DjqVOnsoHD4u2BwJ7i1gNj0Rs2aUeO\nHGknbj45hmvy6W4pfM9k68HIq6urmYuIF6b0ZB3zomkaDQaDYqFi+i5uZnzxd9cyL67rLinosetp\nvIZP2P67f3JN9NjH0IULF7K0vZ6sJW76FgGbAuBuqJ4sZXV1NduIs5ChU570grYyv/I783JMbFQq\nyuo6xicvqd6/rscppczd2YvtLisVebfb1dGjR1sZltyeYjIXjiFZCzrhCTR88+0vnDxvDID3TQhz\nkhem59rIyRd0jo+B+Yyf+EIrTeZV39TNi9XV1V0u0L7O+ty5vb2djTt3RwOuO8jBEydF92pPFsO5\nnsoctyPGio9rT2i1vb2dpVTnGZFxqWDwPGBO9aLUwFODHzx4sJ2DXH/oc08e4nNt6YW21+tlxkQv\nB+NrvhvWkRHXZl+2srKSlbCg3924s2hpF9rlG3dPSR7l4OPEi71zDZ+jouyk/IV0//79WckOwL38\nXCcW+ES28SXP08q7C6+vkfNiOBzqwoULmesdsvRkeAcPHsyMUp4EyXXMy10A5rv4bF4qwt8VkKGP\nb45n3nYj7GAwaMkJkmD8+q//+q52emjC1aK6DlZUVFRUVFRUVFRUVCwZCyXDALxt8310/3C3Ng96\ndKuAv+H623NMI42FzYNynWVwqzVt8NSykZbnbdjZO3elg1WbF4PBYFe6auTl1n2Ys+3t7czlD4uq\nW+OAu3HwvATIRhrdmSh/k5/Wx/F3+sCtKNvb2+21YtrneOzlkjzMAgoWO+UPPHjzwIEDWWFtrJ/I\nyK3HsCxeMNbTta6srGSJTTgH9gk5eL9hzXF6PaY6Roc90QnHemHfedE0jTY3N7NEDc7ERtbK3YPc\nTahUYJVr0Cfu0hKZtZIV1l1ZPUkITKWnqk0pZQyGuy8ty40IPXW9d4sklsKUUjvfIH+3KnqqXZJe\nIEt0H2tzTATgFlmu6QXOS54AzrhG1xJ0GbbBXcPdLWVe4DpYcg/zubDb7WasWkzgE6/hrAZtdveg\naCF1VsJdJd2lFUbLLafMN1znyJEjGVsR00pLeVHoedHr9XT06NFszvd5O64RzoaW3JeclXK2bBpo\nh6cKR9c9sRFzoBcuda+EWAjd13v0FvaG4xZF0zRZqntPvjBNdj6vuXeIrznu1eF7iJRStoY7w+2y\n4dxSH8aSDaW5/2qLT18tCMOYtlbGtsX9p3tQeAFmT7bg7JOvDzGcwHXMZeQsjLOI3l9xnXU3PJ8H\n/B7zwr1ZnK32xFvr6+vZWu7MNKCfkBl7Ik8awrzY7/czBsvZpZJ7ppc4wOuIvVuUE6wXCTWYfz10\n5GpRGa2KioqKioqKioqKioolY2ZGa2trK7Nwuk94tB77W6+ntfTAb871uBbeJAnm3tnZaS0JbrHz\nhAxYc9waz1uqMxzxDdnTbXIMTMesvpqOwWCgM2fOZG/+bk3mWVdWVrKUs24JLxWxdb93+iBatd1a\n5dYK4GwEbfCEBtEq5qym649bdxZBtE54MpBozZZG/e+Wbvd5d99xT4HtjAno9/vtd7AK7p8dYxql\nvLQ6+3kAACAASURBVP+c5YzWuRK7zHO4NXdeYCksxQR4fN3KykpmUYvW0/jJM7gV2y128d4lps6v\n5ZZBZ8fcH3/v3r2ZRczv5SzevIhJcKY9rycaidZvZIEvPNZ7ZzJ5TuZRT1kc2Scsf87we+yIJ5rg\nd/Tbrf+xzAdsgluF6bdFEzjAUNF2Z1vow3hfHyseA+BzIM/Cca5jMbW5JyFgnPi49Zg1ZEcbPIlB\ntPz72KZ9zkjMC2denY24HAtRKvhbmgs8tgb9pm9Onz7dysZZP67h7K4z5t4Hkclh/iS+iz0C1nD2\nHzGB0rygFAHwdnrCGjyKpHzcIDfGIL9jrWfN53tnSKexkMgJnXTWzK+B/jPXRJbG2+1xoDF2Z5F5\ntdvtat++fRlThkydWYprDr95aRtvu8fSevxvLEngHj7+t+95uLazxR4f2jRN5tXhz7Gs5GKAuZP5\nxfcAca7lGD7Z4zhz5/FlvpdlLeFeZ86cyeITS7HFLjtKQzG2YcmYTw4cOJAl/KH9nghlVg+hymhV\nVFRUVFRUVFRUVFQsGTNRB1hg3bLOp2dniZZFZxU80xpvo27d9zTbfB4+fDizRGL1g20CXmCTt1S3\n1Ma4Dk+Pzb3c2sHb8Lwg9sVjn9yHGnmRZjseS1uxNJd8WEuZn8D29nZm8Qdu7QJuufB4nGjJ8Zgd\nz6bnmYHmxXA41Pnz51vrOXC/9WiZnRanF9uKdYRYOfQAeOavmEIfmbpVxOMUYcew8mCdRL+nxbZ5\nsUQvsus++/OiaRr1+/0sc6Vb5mO6ebc0u7XOsyL5HFHqr5jeHVk5u+1y8GyJpayEcey7ZdXH5KJZ\nBweDgc6ePZvNQ55hlbYdPHgwY0M9Q2GJaUR3vHxGjKtxa7NbfWlHyd8etozfsfpvbm5mJTQ8jsjj\nVOZFp9Npx4dUjjeJzIrHYE0rahyv4dfyrLY80+nTp7Mx64yzF45FLh4P5lb1wWCQZSzz2D7+XjQ+\nM6W0a953ttA/4/E+hvxvl70XXXWdfPLJJ/XVr35V0kSnif9jbmYPwXqIPnr8LHKLhcFhhrF20x6P\nQ+eei4A51ZlC4OnqY2rryBZLE51FF9kD8aweq+SeOimloheLs2fuieBMDteMBY899nkak8XnIgW2\niScE7n3lMt7e3m7b62yXx/s6Y+3MimcfjVllfS/mMvYxW8qsOW1+9DnCY7UWjXsDzmQ64jN4HCvM\ntHu9ebp9Pl2HXOekvB9KHlHIDL3wkkPRq4Trw6QxN/jeZdb9VGW0KioqKioqKioqKioqloyZg2EG\ng0H7BugWa8Cb4sGDBzOLMW/FvP17FkL3OcYqyvFYFTY2NrIYFizDWIAoKEmRTM80RlHZaYUXvT1c\nk/Y/+eSTu669CJqmKWZwcYv82tpaltXHi+x6XMK0uCEpj1OJ8RFuKfc6GF6fwq2rjs3NzawmmVuI\nadeiFljgusWzeOao6J/uDA26QoYrrKQeU+DHx3g0t3S7j7PHDmCBRdZYg9yneDAYZFZ4jylbNONY\nxGAwmOqHHj/Rpa2trSzGp1RDx62MPJ+P/Vhc18cjfck5Ho/pljTX32m+7z5+XLaL1nyBecVC6LGL\ntClaUt0i6nOfsxp+TWRLsdeYmYl5xGNY3BrucZkeu8QYIavTcDjMGG7XG669rAx53rZSfaHV1dX2\nO2RVsgi7R4DHBKBj6OCrr77azhvOipUywbpsSzEmUaaur27Zxjq7CCiuK5X7DgwGg4z9dZl6Vjh+\n9wLrnnn10qVL7Xzo8d3Mj5zrBYthd5hfXdbUC4rt5hzYWl8Hf/7nf74stKuEF5wGLpu4TsVabVJe\nNBfrvXtHuO7G+C/XOfdQcpbCmffLeU94ncVS3a9FY7SkkRz9WUqsT8yk62PT50H3BvA1lqyXjLcz\nZ860499jlDyu0jOeeowm14lrqa9L6CTj0otSL4IoU9ba0hoTM3IiG7IJwiZ5/zhz5brPvWKcuHtf\n+VgoeRz4cTH+ywtFM26cva2MVkVFRUVFRUVFRUVFxTXGzFkHoxXdLdWeeW5jYyPLZOUZ77xGgb9R\nlt5OB4NBFn/AWy/X4NpYVl966SVJkzd9/Jix/vD2fO7cufYafLrvttfomBedTkf79u3LfG+9RgWy\nPnLkSCY7Z2xok7NhnqkMGUcLFbLEOoK13auQYwXAesM9sby4dWh9fT3zcy1ZYBcFMvXsTdwHXYs+\nxRyDLqMTPA9661Y7z2AzzaLocRrcAz2kP5yd4G+v+0LM4ZtvvpnVLnILoct8XjRNo+FwmLE8zkrF\n+BX3L3fLt1tKsR5hGfSYSo6/5ZZb2v5AP9Fln5PQU373+h7Opu3s7BRr0Th75lXs50FKKRuvyI1+\nj3FUniG1lHHKGR1Ylueff17SRMbEtayurhazVLn1jvah+8wrHssQ469cXzzWj+dgLMwLYl49NsJZ\nn6gntNct9R67UYqXQK/RRdjCffv2ZWuSsykuF4+79f6NY8bXjFKszLLGPijF8IBOp3PFWlAl5tXr\nQ/E92f727NmjO++8U9KEOfW47uj1Er93RtL7oNvtZnFKbg1n3ODRsghgz6cxV1KeHfnChQuZ146z\nLugPv3vcq699Ud7ej87soF/eZ+7ZNC0TrjOaPu5p187OzkIMTEppatZo4DFhcc/hGa9dP7yWJp/s\ngdBRzrv++uvb/kAnPbOwZ8ajf2GAXn75ZUn5/mL//v3FmnPeH8sY/1tbW9mc6lmuIzvvcfaexc/H\nN8/CtdhfP/7445Ime4M4H6Ljvgfy9xDWfs+G6e8k29vb7fpD37q++HvB1aIyWhUVFRUVFRUVFRUV\nFUvGTIwW9TTccuHxGdGi4dZ83irx1eSNljdJrKTEU2GJ9Sxa8T4eAxOZqQgsYDACtBerbqxXg8X1\nqaee2nWsv8UvkiFHGslu7969mb+9W9aiRcDj3Ty2ya0lvPFjjUO2bv1aXV3NYgncmk073ArHNTke\nn/Zo9XVLGPd3FmbR2Jdut7urKrvHafgz0QfSRD+pP+I12Px5v/Wtb+1qOzoU2QGPw+CaHEucH3rp\nMQZeTwk9jtYd+riU2XDRrINc0+NWpmWvk0Z9XGJI3MKGLF988UVJE2sRViyeiXiNs2fPZpkruQaW\nMM5xBgHLYszcKO2Wk491f9Zl+Lxz79XV1VanPDOgj+MDBw5kdaY8c5K3Eb145plnJE3mM+a822+/\nXdJoXvXYsFLcLPJAtujvc889t+t32OA4vzlD7/GHi3oIDIdDbW5utm1zRmVahku3+nMs48+t8T5f\nMe96LbObb765/Q1rt88PrG98woYhB641jekpZZLzuWAZ9XQiq1VisUGs7+execBrXjmr6F4azHkf\n+tCH9I53vENSnhEsen1Ik/XFLfAeIwz27NmT6Tq6Qb/BXjz22GNTpDQbvD6ZM/+elbVpmizjpdfb\nRO85F33y+HQf4zGWmHs4mwezhm7CJNJ3wOfHlZWVjLXn070DFs2Q54wW/eisi3vVSLksXT8Ye84Y\nU2MNFuSuu+5qr+e1QwG661lIPT7Z2U1+39jYyBgtz6xbyqEwK6iD5nHssV5gvN++ffvafZSzzMD3\nI/Q7evrEE09ImnhgRI8j9NKZRvdmQV/xZKMt5GaI+33a4Htq//R8AleLymhVVFRUVFRUVFRUVFQs\nGTNnHZzGTPA3b+fRP9OtSFgueGPnWCxFWEdhCmC4iLOKfrMey0DMFW/9XMOtgrwdf+Mb35CU19k4\nevRoZlV3y0jMVLIoUkqZddJ9Q3l7P3/+fGZJKFnaaTsWFz6xLsDaxLoTyNRj5byWkbMs3AvLtFuF\nV1ZWWrn7M5Wy+syLXq+nY8eOZaxbZEMjVldXs5olXsmdNmElQbeQDxkuOT9mqXEWFBmjb8jhhRde\nkDSxjJeYP57juuuuy6yQnpHLGad5gUXbWR63cnO/zc3N4jwRdVmaWPu5Jjr0pS99SZL09a9/XZL0\n6KOPShpZvZAJ8ueYz372s5ImMvotv+W3SJqMcfSRMeDWuRij5dZVjytxi+c8aJomizX1umvx/h7b\nhAz52+cpdIm5zrNARb91ruFMsMdQcg0YRtqLld+tgDfeeGOWVcsZD35fRszrtDqIJbZwOBxm86bX\nifQ4Ap+bWcvQRY77xje+0eowFlrk/e53v3vXc8M84HVAbAayf+973ytpdxyZM1al+Ldl6amvMzyn\n1x/q9XrFbMPA41FZR3wNiDG+0shTgmM9nsLhsXSeZYxrMzfcdddd7bVggJknaCeeOOxHGFfzAPal\nNE86s7SxsZHFP5bq47EewxBwLdg+rzPo7YrneCy413jzODHmpGnxwc4GoxfRi2BRj4FOp5OtT5dj\n651B9HneM9T6uEfGjG3msF/6pV9qj/n+7/9+SRM9930Vf6NPtJt4RPYVMeOtxzn5HnLRmoSAunju\n6VHybFtdXc1k5hmWgWcbZZ5EDl5fN+5BnNXlGM9FwPG8W7Df9TiylFLbhx6fTZ+WYk6vhMpoVVRU\nVFRUVFRUVFRULBkzx2j1er3Mp93fDKN1lTdBZzG8HgxWASx5WPaw1HiNgG63m1XR9mxlWE+5NpZy\n2g8rgZUHa/f29nZ7H68M78zNovFE0m62weMyaAf3vXjxYmZZ9GNpEwwWVm1YQ78mOHLkSCsz+gGr\nBZYZr5jtVdFpG8dzr1hfCyuGZ0N03ZgXvV5Phw8fbtlQt8xz/Vi7xuMcnAmi/5EpFmjA38gvxh5y\nf9rDNZ599llJE2uW973HGDiTGa3EnkXKmY1FQR2NUhZDz+oWLeCl+EPPJIRllOOwPH30ox/d9WxP\nPPFEpo+cg3+8+697hkNnA6Js+Y1Pt2I5G7MoPHuXjw/68uTJk+1zMf6QocdpMhfCFqKXWO+ZE776\n1a9KGs2vyJf5kH7CMuhzIfrpLCeWw2gB5r4eI+UyWIZMe71eZnUtjZ3BYJCx9MBjebzGC3JAPjwD\nc93Xv/719tj3ve99u67FfME1kBk655nxGBuRMfZ2lWJLlhGjJZXrMzoDwT4httet4b7+o7fO6ni2\n4c3NzSy7pd+LY10epThr7n3XXXe153jWY/QFL5D3v//9kqRPfvKTZYFdBTqdTnFO9X6NNTSBs03M\nh4xvxr0z2M4Krq+vZ7W5vD3OXLnXi49xMBwOs3HnjGWMyVs06+Dq6moW80Uf+7qwsrKS6bPXbnIm\ni+dG1oxRGBXW+X6/317j6aef3nWs1+DyGDJnXWBtQNwz+rh0pmnRGC1pt56WaoBFjyFn1z1+zNe2\n48ePS5pkGUSG6BTXPnLkSHuOs+Ec4zXLuCf95XU5Qb/fz/SSZ3MGeNZ9f2W0KioqKioqKioqKioq\nloyZGa1oHePN1jMIxexUvAlOs3JE8AaLpdp9o92KHH35aQdvrLx1wjphPYSloU28rXJPLGVvvPFG\ne01+435u1V0GYpyAWwum+cW6f3MpCxZt5w2eayEHsoRhCbjppptaX2CAjLhGyWKGdcBrknF8v9/P\nfPpLjNaiFtjBYKBz5861euA1XdxKGhktly2fXuPJ++kzn/nMrmviw9/tdlsZIQsYLf7m3mTTQoYe\n1+jPEeO/vDYEsnV/+XlBzRfXR9c9QEatCPqZscNzwSQzxsiI5xnIkMeJEyfa53WrFtYszsUiFuua\nSXmmJBDHouuCx/cwzuYF8UTOlKC309httxR6NkwyV8JkcS3350efOe7s2bPtnEsmQhgrr3HoPvD8\nTX/SFqyUg8EgY3rdikz7Fo3PHA6Hu9YGr7HozO+0OjqMoZLV3fsHuO7df//9euc737nrO3SIDJvf\n/OY3d93DGTi3cHOduBa7R4Nnhl2WRRs46+9zUITH+Xj8i8cWeh84ixyzdHJ/zxbnGQz9+X0dilZ3\nP9fj0WJ87KLAS8D70RFjYNxK7ww37BKfrDHIBh31/cb6+nobc+kxiN4O5Mn4p/3Ibtoa4fFPpXp/\n/X5/4RitWJvM4XHS3W43q6nosnEGjzWV4zxrNXI4dOhQe4xnGSzJmEytrInsx5x9iXGQ7nnB96X6\nlbPC13L3+HBdjHkc3IPB66ehp2QX9CyUMFzs4d/1rnfpwQcf3HVf+gO5I1tYRN4DmIu5p9fnHAwG\n2b5m2v4gPs/VojJaFRUVFRUVFRUVFRUVS8ZMjBZWbeAZ+NwSGK0TWII8HgUQR8VbMT7FnpkMlubM\nmTOZdcmtZLAuMDdcC6uOWwlo02uvvdZaHjyjFO3kzbuUye5qgUzdaurZGiOD5pZvr0nBc7r1BouL\nWxGxep07d649hr50v1yuzd9YEYjrwAfc2bVut9taHr3dpTo284I6WiXLFIg+2CVWwdkoroX1r1TR\nHNZwe3s7sy4iQ86F/SLDEDJEdh6/EBkXt2ZzjLMhiwKrlvsoe5/F+5UYLdgUZM4Y8pgYxqlnF3rg\ngQda2SFbrolskQfneHauaQwc53nso1vES9bIWUHNp2m+4tJkzPM5HA7b8chYdwsh8yRyIUsaOuVs\nMTKWJvpJ3BbWVK7NWJhWg0bK2bOYsZW6ejFWM17bGZ9F4VZ1z0DHZ5S9sxalzJ2uO8gQXaNvIlPO\nd/QlaxbtIGMu+gtz7nGrXG99fT2LbyrFvS3qIQDr4s/tDEBk2mMMjJSzTG7hdhm7Xsd1yD0TuDa6\nVYoHLM1VtOnUqVOt/D0zIffwOWtRxLnFreU+d3e73Wwu9LqOPCP7J/StFKsZ2TL3FvKswIxnmCz2\nRvQVc800VrYU1+pZlpfBZvX7/UyWHm8V4/qcNXV22ed7ZOqZbD1GcN++fdnc6QwJTDXnui4zP3kc\n0vr6eiYr3wt4NsB54VkHS14V6OS0PuQc3/+jt+jQfffdJ2myXvle4fTp0/ryl78sabKv51ivmYlH\nBfGxeAz53jrOY57xt8R2eo3eK6EyWhUVFRUVFRUVFRUVFUvGzDFasfK2Z1/y/P3RwuZWDuBWQ6wD\nHkvh2e6uu+669k0WC4vX1YBVwErFGy/WQ6w+nt3t9OnT7Tke58Q9SrEp82A4HGaZk9x6Eq1LyNIZ\nD88Oxpu91wxCbliZuefp06cz9sX7GBkhM2TKPTzWIrKeXu/F40vcr3cRxHgWtwp7lp4IzzLo1jss\nS8SxYMXhEwsNzNZLL72U6S7sHxZAmKw77rhjVzuxarsP9jQ4y+D+2otmcvSMo17vyGXa6XSK9X08\n7oHv3YLqWeCmZVpinnAWwhliP88tVfEeLm+vn+QZN+cF1tfS3OhzzIULFzIffz6xmNIm5lHGKZ8e\ny8fxq6urrXyxBPKc3reetdPjAj1GYGtrK4sV9PkBhicybPOANQp9cCbI58KYYdbh1navr1aqrwWa\npsniEX0MIw/mBGcqnDWI47hUz81Zo2XV0XKGd9rY4dOPjTW24rElBtPHWKy3NC0bn5Rb/72GD3OW\nj7PIqHvtMWfZl8W4ToMzKY7owcAxznozzr3uEmuJZwbleQ4dOqSXXnpJUh5DzbnEvDij4/E2sDTT\n4s59bvA47UUxHA51/vz5LBOqx2hGObrXjuuoe3HwPTIuZWNMKWV7tNjOeE+P5fKais7wxnOAs8LL\ninkHLhcfm1F+nmXQ2WXmNfZJzH94CnmsJnv5c+fOtXGt7LXcs41YrEceeUTSpGYheumMbZzX3SvA\n91U816z18yqjVVFRUVFRUVFRUVFRsWTMbJ6hToGUW8/dBzpahz1OxmMlvFK8Z/1wC22n08mqxmOt\n5Fy+J+sIFggYLbeoR2uhW8G8MvQyLVsxRgs42xLZHs/6AtuGRYn+4XncXx6LHzLlWTY2NlorgVvK\n3CLplemBWwRod7/fL9Z1cGvToozW1taWnnvuuczyxnO7JWNraytjDzzeDZAVKFYql3LrFn1w/vz5\njEXBesM5ngnK6/pgDXfGp9PpZPEH7k++aLZBh1vHnZGOLFapPomfy1hziyL955mzYk2RWF8uHoNs\nuTfX8KyarnuRYXILXik2cl6QHYtx61ky3SK5vb2dsRQe6+JxKqDEAoBer9eOaWe6PU7GmUpndPie\n+fjNN9/MvB6cHSzVspoH3W43s0Z72yIr5wyNZ7l0qzhwffb4nYsXL2bPzXyJPmLZ9XoxeB1wHHMA\n+tvr9bI10+NnfZ1eFCXG1efOwWCQsTNe28cZZY8ncbYwxnKV+qNU18s9bOiTaXpN/zDPowP0h4/R\nReDZ8Xydjsfx6Rk+8bjw/RXPcdttt0maWPt5VvSODLgvvPBCxt5xL+qNck/mB2TkTI5n69zZ2SmO\nv2VnHN7e3tbLL7/ceit5vUTXs/X19SxbqjP4zhQxx5a8ROL6RTZt+gkwdhmzrAFcmzbg9eIx75ub\nm+3+zT0KnE1ahq5GTzbPIOreTtJkTnJGyGvbAnTJx7/r8ebmZpvlEX3l+Rij7K88d4O/L/gaFPcs\nyI72umzJkni1mKkHhsOhLl68mLmh+AY6uhB6GnQvyukvA55esW2oKUuv12vvg6A8pbO7evCJoqDU\n7n4TJ/NSgT1/jnlBAF4pYcM0NxB/Hg/c8yBoL4DLROlpgPft29f2V8kNCHhwsw8kb8vm5maWwtf7\n3pV5Xly4cEFf/OIX27ZBHaMX9H8caL6pjLoQz2UC8ZT5/gz04w033NBO+r7p8Ikag4BvDNx1IbrW\nuZ6WChUvKymG6yf64imWIw0/7cU2fu/GGOTgRVynFZlkAfNAZMY2svcAeE/RztgYDodFF03fUC4j\ncDum6Pd5zF/6d3Z22sWDeyMj/ua5/WXN52EPTh8Oh1lwd1yApHxTB3zOcPem6J4Tnz0+K+2l7+cF\n7pjuzlNKoR3dXDwRUelFmufy5EJuHFxZWWmNKKUEKl4SJabbliabBTbGbMz27NmTvdiVkv0sq7RD\n/Dt+gmiQ8AQDJdct//QU9f4C3u/3s/kD+FxYSnblc3V8ceP/vNAyf7Dh9VIHi2IwGGRFdH2+RA9X\nVlaylyB3KeUa/I4M2IQiR9zUSZLx9NNPty5ZPnew1pNMwEMt3HXQ0+zv7OxkY8llH8s8LPKytbW1\npeeff74dmz6WfZ1qmqaVnbuUubub6yhwgoHrHD9+vJ3PvPSQGxB8XPi8zstDNAj6ub6nnpagah5g\nEPCXIMahExVra2uZbnjSFs5hfvM9gBdyjusFycM80RX9FV03pdxN3UuMxPW8NDdwDdpPuvmrRXUd\nrKioqKioqKioqKioWDJmZrQ2NzfbN2UsG6Vg7sg6uTW75C7mbhtOLUdrfimpAdYMmBvecLEqAKxW\n/I7F9ty5c1nQOdYDd6FbRkD89vZ2VpwVuIvQtKJq7sLj1kRPFeop87G6xFTTnvDE00m7y5yzMG5d\niUULnQF1y+uiroPb29s6fvx42zYsIARDOjt36dKlLFGGF+PmHHQEuTAGkAuFSDnuwIED7TWwgniK\nZz5LbpfuKuoWGZ5Byt2dlpGsRZowr25586D1aAnyNriF1p8P2fHpljNYxGn3o6/pDwK4YQJIXuIW\ndk/E0uv1sjnH271Mmfb7/dYSXGK1p6WU9iQgPm65prNNyIfzYuIPZACj5Ql5+PS0x1j5PEVx7GdP\n60573CULS+68wOuCvuP6PPe0lOc+j3qyC2cJ3DXdLbo8/8rKil544QVJ0hNPPCFp4oZVYl08rbgn\nM2G8nTp1KiuDAHxNXdSi7endfX6+HIPpjIW7jnlb3XXU3Z+mebJ48hq8EbzcDOt/KQnTwYMHs0Lo\n7q7s914EzKm+f3HvnghnmxwlubscvazA6upquw/gHJ6d+QBdZR6I8zHPE7+PBWHd8wW4V00s4D4P\ner2ejh49mjH2riPTkpn53ss9tAB9j575Xpb16/XXX2/XH+Y1b5czkuxZ+R5Z3nvvvZImzNZgMMg8\nIEou+stgtGN4he/jfH2/dOlS5mbp3mX+XkBSjJJnUEyKx/zKmHRXYOTiSeOQpSfai/OWe7y46yn7\nCvr+alEZrYqKioqKioqKioqKiiVj5oLF29vbGVPiiFaCkp+0JxnwRAVuicFiHX223Q/Z3+h548UK\n4IWMo0+pNHkzjoULsQxzbQ8yXxSkI/XnBTAVMYWmBztjOXKLA/IhINOLPruVYVqCEfdP9vTenmgE\n+bgP8srKSjEdcslSugiwwsS2eoxYTMhSih3ge66BPtBP6BKWa48ZWllZaf/PuTwvsnvllVckTSzT\nbnV0FjVa2HkmD+h1NmlZZQhcT50BpL9j/JhbEXkOLEzPPPOMpEn6YOSEbIkdiHOGJ6WBuXjPe94j\naTKm6Q/67/7779/1TB63uWfPnixJx7Q0sPH7eTEYDHTmzJksls19zON93E/eLe7IjlTNpMUl1gRW\n1wOHm6ZpA+Ox2jl8zkYe6C8yd/Zw//79WYwL7WfeQH9ntRQ6mqbZ5XUBPM4xHg88rsCvUfLK8Pgr\nxsDnP/95feYzn5E0sWj7c/qcV0pchEzvuusuSdpVasHXyJKleRFEOZUSF8S2u9eAj5XSnFbydojM\nl8vd07bTD9NKjET4eSsrK+04wWrO2kl/eQmbRQGrHeEeKlF3eRaPJ5qWtjx+D3xOiSw2z+wsY4kl\nA56AY1pyI09+4uwwY2bPnj0LxWgdO3ZMH//4x/W5z31O0qT/SnPrtOcroZTMi7Yz17KepZTaNd7X\nIWd2fc1nnkaWMOGRfXW2zj0N0Bv2h/NiOBzq0qVLmW75PMPaE/vPGdhS0jG/tqe1f+yxxySN2ELW\nru/7vu+TNFkDKUvCNT74wQ9KmuglcvJ+ZO2MycXcM4tzSYIxayKsymhVVFRUVFRUVFRUVFQsGTMz\nWltbW1kxv1JK3mj58GN4k/W3zFLKRi/iGv2DnaHAeuC+mrAtWMqxxOKDzBv52bNnM79PrAJYfZZV\nYI/0zu5D7RnqorWO/3sqa3/7xicdSzXgfJ4bP+1Dhw5llgX3Y0dG9AP34BMLOZZBTz0an9HjifzZ\nF0FKKUs/6llyQCwE6fFtWC6w5mPZRA5eJNstHZcuXcqYHbdUYgmDcYTZct94xkJktBgHHjtXi04O\noQAAIABJREFUKoA9L2CzS5ZnZ9bW19ezMe8WZ5hVmCysj6R6JXYNFgrL02AwyPrSM7+ht+gp/Yd+\nkiLW2dUYo+UxSa6vi+op7IvHe3gMbLQQesrhmOFOmsiUa6BD6BTMErIlk9jBgwfbcz3mqpQO9ytf\n+cquezmLgb5ed911rS54yQX3o1+0uO7Ozo5OnTpVzNzpbGVkSLz9pVhYzmXs80lsBuzV2bNndd99\n90mSPvKRj+xqh3sXAC+bwVqFHsOcr66utseyljrL7N4hi6IUy+ZzAUWjL9eGUipqn1+mlZNwZrm0\nlwAeE1oqSBvnauYaX0tLZU3mRSzu7OuDZzwbDoftusN85p5Avn9yRhA4KxgLlntKa19LPCNcaf9H\nv+zZsyfzCvCMs9zj1VdfXYiB7fV6uv7669v+c131mNVer1fMXlmKJ/N5gr5A9nfeeaek0Zzr+QJ4\nNs+K6xkEWae4F/rHPXZ2dtpjPSO2xxUtqqvs+z1e3dO8044zZ85kJRg41se1s8/IEo8MT6PeNE27\nT/jsZz8rqexZh/597GMfk6Qs+7PHrnY6ncyLhXYxJmjXrKxrZbQqKioqKioqKioqKiqWjJkZrX6/\nn/kJezzPNAusv127pcFZBt78ydSGlZDPc+fOZXEGXBMrv9dAch9kz/bF3xcuXMj83jnXi8guyhQM\nh0NduHChlYsXvHV/6W63uyvzopRbGr14rvtFcxxWFqzdMesS8ELNtAMrLj7I7nuMlQELYLfbzSwJ\nbu2cFpOyCNwv23UtWlG9WGHJauWxULCB6KCzETFWzLP1YK1+7rnnJE0YHUC73f8+1pqgXTyr113z\nzFzzomka7ezsZDEkHsvG3xcvXsyK47qvNHr3gQ98QNJk/HkNIWQciw27zsAMIFPmCS8s7ZlS3drX\n7/eLLIjPWctgtXu9XlYUnbbxvNFi7Me4dZ7ng7lyazMWXdh8PiMLUKph6DEMsGUwkF5HijGxsbHR\nMjjIlPnBWcNFGS3iCTwDlc+ZMcamFHMRrxm/Z/yxzsBIEyOA3j744INZtkPmAnS6lI2Lv1n/kFes\ne3TPPfdImszjHpPl7MEiiMxfqY4jbY/ZMZ1Zideb9ulZQT3WaHNzM8t652y+exWU6lN5ra6UUpFd\n9jlhGYW1gY+3Un2y2D6fe9ArZ3I8Jp5n9UzE3W43W/Om1ReVdhfNje31mOi4p3HWjmt7TPMTTzyR\n1fybBR7zXqqHFD0/nOn0Y0qMtu8fPcZ67969euCBByTlRX09oyn6xN/IHCbL58ULFy5k87Lv84AX\np58VrP2e5bDElp4/fz7L3OqZknlO9PLJJ5+UlMdjs+9mLYzF0J3R9nWTPcAnP/lJSdIjjzwiabJu\neY6GXq/Xyt37nnkXz4JZx39ltCoqKioqKioqKioqKpaMmRitfr+vEydO6KabbpI0eev2DFixIjNv\nu7w1ev0M4gE8IxvXxqLH71iuDx8+rLvvvnv0EOM3e6yz+GJ67Se3DvDmz7X5lCZvxW7t9Jo+i9bT\nGAwGOn36dGthcmuWZzmK1gOPQ0D+MH1ck3gUrwXmVpJOp9Me436/nkkIltAz6nFPt7Svr69n9Qu8\nZgyYNaNLCR7/4TEX0xhYP8Yz+mCtRsaAvsBaEuNr3D8c1oXnx/IPC8HxWHWcPeI658+fz/yxPSuk\nW3sXhVtK3boVxz5t4RjXbWRERjWfCxivzkCvr69n7Bjnwgpy7zvuuGPXvUqWqFgfB/m63rgPfJwv\nFoHH1sASe9bUaX7hbiFE/xifPK9nA3UWf2dnp5gR1hlZZwicQXfm59SpU60MyaZF/9BvpSx8s2Jj\nY0MPPfRQWzvv2WeflZTPlXGcl7JMlrKuef0w9BRdg+Hb2dlp1yT0knUDuSNz5hOv14Qu8jfyu3Tp\nUjvG3WpcykC6KLy2orM8MXOaM66+5pQYK1Bidfr9fsuCoKcer8hY90xupdp50TMGHfDMvMDnnUUR\nM52VWJiY6dW9Gmgnnx4/4x4y7pHA8xw6dKidZ3z+K+m/s9NeDzP2ecmLxWNgvvOd7ywUo7W9vd1m\n6JNyPfIaamtraxkz5HFuzpz4Xsi9I5gPXn755Vbf3atqmieFNJkfYFCYJ+gb5oetra2i/ns/LSND\nZtzH+HMz3uIYdQ8bnpf+4LmYF53Bom6Yr9/Hjh1rddkZRZ+PeHcgCyTxrVyT94To6eV7T357/PHH\nJU3GRikurITKaFVUVFRUVFRUVFRUVCwZMzFaOzs7eu2111qrKW/8vFm6tThaJ6exB/Fvr3XBWypv\nsljyeAu9+eabM6ZmWkyDNHlbxiKB9YdsfFgmacvdd9/dvrE6M+CxOu7XPCt2dnZ0+vTp9rk8+9K0\nbC0l1gurARYMvscK4pYPrCRYEVJK2fNGhiI+N5YXLDWRuZJyv+1Y/4tr8xtWD2d+FkHUPbewuzUt\nMntucfPMmp51Et3nOOI0eKbon47uwFh4zSBk6fVwvBI98jl9+nQWF+OxKcusURat/1453a1JMYOP\nMzbu203bnXlGTh7fE62B9IvrJ9/HOCFJmX+3Zz/b3t5ux4Bbt2JsnLQcRmswGLTPQ9u9v9GlOPa9\n/ki0TEsTZsvZDI+F4bzNzc1WRughz8knMnVW02N3nM2+dOlS5g+PJZNreJzBvNjY2NAHPvCBNjYC\nRsnjKqbdj/FZytLlmTWRPesQczh9cO7cuWyMI0t0m/YQT8Bc7W2gT2DLtre3szgP9z5Y1Nsiomma\nbLz62I8xuB734rFxnmHWGQ9ndXimU6dOZfEuvn74PMm96RdfY5Ht0aNH27nGMxdzD/fkWBTTrOi+\ndk5bpxj/rl+uP84c+j2Ya0+cOJHFn/t49rnSY93Yo8EmMwfFZ/F9Hs8RM0Evwmj1+3299tprxThC\nz6o8GAyy+Eif34AzWq7LyBo9u3TpUhu/SewRcyz6xP6WNrA3RXfZb/i8n1LK+sH3fe4Jsgji2u9w\nXet2u9l67LKijcjqoYcekpTv1dmjM7feeeed7RyIrrtM0SUYrXe+852S8r2Rz1/RS4B28m5AtkGP\nS7xaVEaroqKioqKioqKioqJiyZiJjhkOh9rc3GytILxtew0h3vg3NjayLGj+VsybLZZn4BZ53j55\nMz558mRrecCSAhPAWyhv+p4JzjMc8jexZ4cOHZr6titNLA7TrOvzgNoYzqR4bFDM3ug1x9yiGf2P\nI2gzVgKsLDEWxFkxtwS7fzxA9jHbXvyUclbQrQK0G1kvimmsmjQ926G3BVl5nRe33ntNKLdO9nq9\njFHzjJWeAcqzPDl7FH93psAzSy6DyZLyrINueXYdZK6I313Jh5z5hCxq6BpxNvjex1o6WJiJs8Da\nRVY3j3lx6zuILJIzAbSXMYDFzMfArCDjqM9PwONz9u7dm7G+zkzFKvfcIz4Dz8b50Upbys7mzBrW\nPrcken/H8Uc/uUdAqYbVvECmjAPqhD322GO7ng3ErGM+B7hFn/7nOekvt07DDGxsbLR66GwQf3t8\ng8uBv1njIqPOOW4FdmZ0Udn62HfWsVQjS8pjsPxvZ7v9Gh4zdfr06UzertOxNpSUW6eZA7Cms5+5\nePFiex+PpYOd8Uywi6BpmvZfhLPucS0q1cdi3CMTz3bJWGWdRp9inTDkx7zrfeRMAH1D++kX95Q5\nc+bMrhql8dmQPZ4gp0+fXiimkPFfYgn92sPhMNs3+ZzpMd3+t3/y+759+1pZsNeCyS+xsd5P/O3e\nA3Fvx3j3uKGYUXIRwGZNixmU8n12t9vN2GWvT+ceGIwrr8uKTpLt7+TJk+0aT2w3Y5N2wUp7Jk6P\nJfQsmv1+P2NCGQvoMteade2vjFZFRUVFRUVFRUVFRcWSMZOpq9PpaH19vbX6YEX2CvW8Ke7fv39X\n9jUp99F0v1LP4MKbI2/NWGLOnz+fxce4ZYFru282VhV+9zfe7e3t9i23xOR4RfZF0DRNViF9muWV\nT2dkXLZucQFelZtn4fPixYvtc2ENdMueVzB3K7xbjKIvPvrhFeVLNT/mRaz5IuVMmdd4SCkVrVrO\nfLiOu/X+/2/v3Frkqro1PLrTnUPHSBLZMVFEo1FBUVQkoqIgKHilgqg/xZ/ijX/AWy+8VPTCAxhR\nRE084daIMTEhnUOn0unu2hfhWTX6WTUTu6o+PjaM96bpqlVrrXmec7xjvMOKeTkvk1kf6sZMln3A\n7Z+d+4qz1TsuykzGtBgX09R6rlkvrHD2128pYaEqmhWHIq73SerKufS4xrGCVmKzlZ93WllZaTJa\ntKnjIibF5cuX49ixY3H48OFNZaC8trhF9BWknCeqxSD4c6uFDgaDrm7MirZyIJn58pzFnJk/x6Lr\nccVcME18Bs+6cuVKfP311xERce+990bESDXKSp45hx51aRU/+ooZEyu6mVXOdcq8ijXWsRktK7rj\nGsG1a9eaqqr0UzCLPDqrq6u9dcasivtgfn/DsYKtds9qdBHXy+ichWYr+Nx5kWj7nC8zYsR05bXM\n8Zi0H7+Z1pMFZKbAc5Ln2CtXrvTyefo9uIeZfP+1GuTS0lJPydBePTmeM//lc2IVmZPp0ysrK91c\n4DxF1D3tOxgMptpT4UnhPUXL+2d1dbWXs9Rrv5kqM41WK817INdNq99YMdqq11aAzMqeVtEGlGfa\nnG+Mf7dLi6Wfm5vb1PYR/TpjDOLpYKaOsrH/ZO/z119/jc3TGNGPFYPpwlPNbK/VJHO8JO9NbNbR\no0e7ayIiPv/88xvWmVGMVqFQKBQKhUKhUCjMGFt23t62bVtP6x/Ls63oy8vLPQsip05OoY59sfWg\nlWNpaWmps+74OzMlXGeLtNWjQM6lw2+wyNiaN61CHqqDVm5sKd/Mz8/38oA4dsLqUy0GzLl0zp8/\n37Oc2sJqFtD3skIS31+9erUXy2drpv24ZwXnn7LCVYbZppYKof3VbQXLuaNadWLrjdvV8PsuLi52\n72n1NlvjZgUrHVGnjuOZn5/vMVqOd7MF3MwXfQwWG5/s1dXV3rxiqyR/sVbRt5zXA+TYIc89jn2Z\nlnUBg8Egjh8/3vUl5lEscVarvHbtWmfxpJ1trfRcZmaPOsdiOi4ewmPauWD8W76nbp2HZ2Fhofe+\nHoPTxhEY3333XUSM+hD1hgpYhmNQ7Kfvecr5mpwDKzPyng9oD8ckW33XcVZW3xsMBr33hB2gvzqG\nbFJYcYw5x94quYyOZbW133HS+VkRo/KjzphzDlL/zhPm+dExrp4r6KesNwcOHOjyJLJncC4lnklb\nT4sco+W51YzWYDDonmuvFe+TrAZstU2vWwsLC719g1kgMwKeg7N6cf7+7NmzvTXde0jaeW1tbcuK\nbhnr6+uxvLzc21+ancsqtPawAW4Hr9eeu1oqzxGjOvPc7nnZMXX0P88HN0KLeZ4Uw+Ewrl271nxn\nM57jVJy9j7X2Ae9K+ehLzJMoCJ4+fbr7LYqyPBdvFlQvzd7yLq5D5wGMGM2ln376aUSMVBFfffXV\nTd9/9dVX8W9QjFahUCgUCoVCoVAozBgTyRH5dH3gwIGIGFme88nQvpk+wdra1Mr7Yj/5ubm5pqWO\ne3GCxXqCahlWFD7n9IwF4/z58913ZrL83tNYX3jHCxcu9CxTjjcbB9ctv7VSjXOYYbnBMp2tXrY8\nmCmwb7itOWYDMpvkjOKOQXEOiVmhpYCT69b+2S3/Zn6TmZuIUZ9DZSz3PfoQsGXIsR5md82gZHbY\ncQi2itpCNA2yxdhsqWMXs1WrlT+L8nqMt1gq5pfhcLjJr3rcO/LXeTzsV28mNvv38z5WyqNs09Yp\nlkL8wBl75IByzE8ul+vITKatzC63++3OnTt7sUeuY6yyWGzNTrRiCXfv3h1PPPFERIzGODFTZj1n\npT5Im3377bebyuk1Yfv27V157E3gPH/Ml86p5N/lftxiB81uA8fIMheaAdq+fXsv9tTqY5SL95wU\nsPL2bgCOu87KuMDrmFkos1T0E8qWFQTN+lnF1WPAypxWzaQ8Bw8e7Czo/BZLOnO4WY5pME5xMGLU\nJxwTdOnSpe4z+m/LW8L16rnMDFOOU7aF37Gj9rzw3MK9yQ33999/95g4lGRhmGH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Orm7mVsrOgrD17cjmjY2N9pzOnbfVYsseTTivkTAPUkrR6/U6jILz5rEUWWuu\n3Hb8+PFOTIGr+GFdchwWxBvf+MaIGD0TzPGxxx7bdz7nYZutI5vnxIkT7drHQsNicNS+7wnHLdpz\ng0qu3DfHYTAXnjVbo3mktyOzS3U/uDd33nlnRIz2AfYL5O84Ka9X7jXIGTYzpnzXVWS9T/AMmRGY\nBymlji8di/GZZ56JiOhEwfvZvHTpUidjzQwOc2LsPHN5VdqI0fq05evMLPcyyGtCcG32Zo5hDM6S\nYD9mvosyYcCZW+w/sHyOz/AaiujG/8CWOpsElFqic06+z2uegZWDNQBWVlbaPQZ5wWKWGEXuNXLw\nOaehMgsVFRUVFRUVEzGTKtzv9+PEiROdKou2uLGKHn300YgYaad87+rVq61milaEloRGhQbHubEo\n7rrrrogYWRac+4knnoiI6EQB5/m+ESPtFg3u8uXLrTb9pje9KSIi7r777n1jcjU0V+3b2NhYKBc4\ntyZylLIGgP2LV65c6bSYzWMIIqLjc3OesPOFbenZt+keB1h2r3vd61r52OJyfITHzL1f1FeZUoqV\nlZWO39p566xjZMIayX3BrsXAuuXVdSscmWxLD/kS2+CudKzPr33taxGx39rBEsJyf/vb3x4RIx9w\nqe8KFhwWxyIYDoedWAVH55es/LxHBf93bwi3XWbMxA9ZbsiC+1TqIOj1i3W1ubnZjpu4KHdBdVwV\n53C8ybxIKcXy8nKnbg3sEuNznAFyzzOUSt0fzaaxZpAv6w7/vbMfHD/FmBija6ocP368ZcBcf8Py\nMrPIGBftDQFcdRYZeZ9nzsgVWbz88sudjB/vbaxn9hDWEnJ2/Atrh+N5z/3ifMgflmBlZaWV/alT\npyJi9HzxjLhmCWNGzo7NmYbKLFRUVFRUVFRMxMwxC6urqx2fOUBTQTu69957I6JbRe3KlSudaGVb\nXo74RjOzjw0/zX333RcRo1xdWzUlTe3YsWOt5vWd73xn37lhLxzxO66f/CIxCyml6Pf7nSpotk4d\nf8D10YhffPHFVnvEUnAHULRp2BTnHJuRKHWx5Npor66vvrq62unWxzrgGr73tibtQ54X7vWA1WM2\nACuTfOu85gdjpA47DBfyZl1yDvtFuWfcU6wtXl3NkjXpyPubb765s9Zs7bkvBWMwq7EI+v1+px6I\nrVlXyrTVlfvWkbWj9nnPs4jVBKMDODfHO+7EeeqswbyOPuNmfMiL75Qq4nGPFmUWer1eHD16tNNx\n0J012WdKHBgIAAAgAElEQVTx5fM+r/Ln2he8sjbYJ9lXXRvDFXS9JwGsb1c4ZX/I2UHYYfcwyecf\n0c1SWrTeynA4jAsXLhSr1TJ3mByYO34PkOvS0lKn14jrBSGnUp0VM+eOU3NMAzKAoWDdnzx5sl1v\nTz31VESM4vdYF9xj1jOv3DP2pIOiMgsVFRUVFRUVEzFzzMKxY8c6UfkAreod73hHRIy0IrQktKid\nnZ1Or3i0aFdLc+wBmrGtJJgFNC+YBc5rDY/XtbW1dj5olOQzo3mh1ZW6Pp45c2ahCo74Km3pAsvZ\nueJ5lgEaPRYD98CZB85L5+/OFPAYmKcja7EguK9ra2vtGNyfnntoZsoWxWHVseA6jJlX18+HNcB6\nzWsjcAzry35Yxz2YwcJqsQ/eVg7WLWPkesh9fX29Y+m62hv30BkWrF++vwjy9V6yohyjgAyR3e23\n396xrNwdlXNjJblfAmDdEZdhdsNZFc4GWF1dbcfrHPdSt0nkzDlmrYhn9Pv9OH78eCd+y2wpWQLu\nQ5KvJWcYMQfWHUyN5cG5zHg59sYxUM5qy9lk5mF2s1RRFXgO84Lus5wHeTI3mBkyjlivMCFkH/X7\n/U6/HsbOb4UZHWceufqv91Pkb/bPPSfW19c7+xqxFcyH+BPmyzx4Dyt/UFRmoaKioqKiomIi5qrg\n6Fx9ujRaC0VrclWvPO/d0fdowJzDfkK0blfjcqc4GAW0K2du5Joc3yELAg0epsEWgy219fX1hbMh\n8loNpch6y8h+3mPHjnX8fMjBWSHOfec45IxMHDfg+g3I/YEHHtj3vY2NjVaTxWLnO76WY0FKzMOs\noM6CrXnGhQwc02DrNr//tqIZI5aF5VPKT3ftDsvA9S7yegDuV8+57JPlOXNvjEWZhaZpommaTgdY\nx9QAMhfcryTPVClZ9fwda4h7ZN8wr9xjZwq53wJjz5kK1q7jGVxDAHBPWU+LWsCDwSBuuummTtyG\nO2wSC4ZMXL9iZ2enU32QsXGv+K4ZRI43c2imBiBHZ7HksnRvG8eRmJHyPWf/mBeDwSBOnjzZYaPc\nUwM5c13Yl5yhy9nxfKz+3DVPOBcsNffWlTGRs7v8cu8535kzZ1qZc095zrh3zMPZHsgZ5uSgqMxC\nRUVFRUVFxUTMXHKMKo4R3ehytCr8s2hdrocd0fUH8t7Vs0od2MZZXBHdaF/emyXIsyScCcB87rjj\njn1zZ35ofWjGb37zmzsR6LMipTS2+ll+PfugHUG/vr7eiQbPYzMiupqq6yjYcnCUNFormrAtEVsY\n+f/d9a3Un6I0llkBE+aOb475cLyJo7LzTBXXlXclNlff5NXfd+8DxsirLRded3Z2Os+OmSbPh+Pt\nb54X/X4/1tbWOkwMY2YNOM5gHPtmpsWdP2H5zED6npodci5/Kac/X6/83wyD5cW57JdeNGaBbDPO\n42cU5tPsoesCXLp0qWNFOubLGQleZ2ZunPHi6pH5HPKx7+7udu6d68f4XnENjnvDG95QlNlBgFyB\n54I8uY7ZLTMi+ZjNWLNm+B0j5sgZWKwxWHn2U3c0JQ6BMeRrDvnlNS0iuv0/uFfMy+zaQVGZhYqK\nioqKioqJmJlZyLv4OUcfDY1X1zrIO6GV/Ku2iF1lq3TNkq/ImjW5pmBra6vjk3S9A0dDozVyjRMn\nTixcZSzXFN3B0RXHbMkw3p2dnY41gpbJ2N3lM/9uDlu6hiOZbeH1er2OxWCLnXN7nu4hMS+apond\n3d3O3IDXjuWZR72blXClxVLXOc7le1uqrY+2b1++55SjZOE6Ut3W0LzAUjMrBbtEFoyZj3wOvLqy\nIueCqXGGjOuIuLZDiX2bJpOIbpyEe5qY+QKOn5oXxNiYbTFbiBXqHiu59ekYD7N5pRgxH+f6KsiA\n77PfeP/NGTMzpaX9NpdDxEj+i2ZFIVczyL7PZsbMCm5tbXWqwY5jUiNG65fMKmBGkXiX+++/f9+Y\nuB9mcvO9M8/kiRjFLrBuGKMrZ/peHRSVWaioqKioqKiYiLnapDk2AViLzXtv59/LLQq0OteTd5VE\n5/lbQ7Nv3fnr1gRzK8uMiP3S9nHZQl5ZWVkoG2I4HMbW1lanxkQp99zWfA7Pm3OULABbo6Xuk+4h\nwX3hftmiyNkjrm1r2xYu8+HvhxG1n1uBti5dc6OUS57H2vBd5o3G7wpswHVBHLOANVjqJOrj8++Y\nfSixRbaMF42v6fV6Y/O87be1D5/rm/XL/8ZasX/b/Wicz27fuzOv7Of3vhPRzQxiTI6PMFvBWA6j\nMmZ+PebEWnNvGmciwLaQXRXRXXfOcnK8iZ93syjeAx0j4v12MBh0mATHJJV6xZg1mhdN0+yL9fGa\n4jrIxixKPl6vYbM+zB/GAGvfWTvurkwmA+dl/TIm9hmQx9jw/FueZmSoH5Ez/LOgMgsVFRUVFRUV\nEzEzs9A0TScnlFc0HGvitq4iutYOVaeefvrpiBhVYnOusbvKObrfedXuM8D73E9lBoFzlnrCew7D\n4bBTqWsWUOXM+fIlZsGsTK55O0OiFN9g+Ny2/hwD4bgV18VIKRWj8lkfnqfZDCKFF8FwOGzXBBaa\n/d9cDznaOsrjdFhnrproapCWn+NfgK0BV2H08bmF5HtslsLytQ9+XvT7/djY2OhUcrUVW6qTkbMn\ntjJtRXr9udcL99L9U9wB05aemYnNzc1WfrxyDa8Lw11TF0Gv1+tcx9kZpUqSuSXstVHqEFyK6QBm\nVb2euddmtXLW0/tUiXHy597/5kXTNPtYATMIZqUBc8+ZXD97xrSqk94fOJ516+PyjsKG9y2vB8eV\nmIlkDzsoKrNQUVFRUVFRMREzMQvD4TCuXr1a9Aui/ZQ6leV1A9DW8t72EaNqXdQmR/tBG4LVcFS6\nLRL6O+DHc4+JnP3gHFgjthLtg7UWnddImAdN08RwONyXS59fx35r59mPiy635cB8bYHZGjRDYp+m\n2Rb7qcf1qneE7yQrJMeiUftN08TW1la7ZshcsJXvDnCOZej3+517j9buHhC2HPiee8mXnh3gnP98\nTsBZRrYcXBXRY5sX+IA5L89oyRfquiw5a2LLFDh2yRXv/NyPy4XPj/f+4GeqaZqOXPiOM4y8Png2\nFq1fwXp1XAWwjByflH/OvFif3gdK7KStTjO4nM9xKmaAwM7OTmcdlupUOFaIv5cysg4KYpc4Pyy1\nGTHHw7jy5HA47IyZOTlDxd1Nvd54hfHivN/85jcjIuLxxx+PiIhTp07tG0seD8g1HFvle+B4qFLt\nkWmYSVlomiauXr3aeSC5qAOtTH3ntBJCRch5mWCOyV85Nxu+i7AgdMB5CcLkvP6hYOPLj/XmWioZ\n68IliyAfR6mJkwMr/QN25MiRYsqTqWgH2JTSl1zYg03Em44VqvwH1i4nU5tudczroqmTXNPncxoS\ncyitvVw2VtAAm6fLjVt5Yr1yH9xQxjLwD1BOhXqjckCW6d1So7JZMRwOY3Nzs0OLO6WYV+TqdFzK\nRkd0C8dYufI1Sqm+Llfu9vN8j2I5efCdU3rd7M5ytVttUeAym1aUrKRg5a4E9knWBil87Fl2uZry\nd2o6f8cIe+mllyJi5C52oGOeWm23iQvu2Xjwmj+M/XVnZ6ezZpAFc3RhPyvfg8GgHQu/FSgeeQO9\nfA5WRIALaVEQihRK/o5bnqKCPEtHjx7tNDLz2KyolErVHxTVDVFRUVFRUVExETMzC3l7aTQVMwu2\ncGwJLS8vt8eitfP61FNPRcRI83WhCY5D06JBB1qgg9hsUY9rVGNt2OmGwA1mDkPjzeFW3ozVAY7A\nQYb9fr+YDpOXX83PZXoLudmCdjANci419vH/c9jatmVRKhQ1K7Bcfb+4rqluszGlBkIRXaYFOAXV\nhV/cMt1uNqwajhtHbZup8Zhc1rWUejsvKPnu4lW+X6Y9mWPOQpVYPQefsn6xaLGqaMyDnL71rW/t\nu5bdaJTPdVOtfr/fSfkeV2o7v1bpeVwEKaWOi4XrOmDcQYl58zLmSXEmF7GyW4HvmoJ//vnnI2J0\nD/mcdcv9YIx2S+zu7haZLDMLfi2lWM+DwWDQYTQcXFzad/LmZDABzz77bEREnD59et8xZrDN3Nh9\n8Vd/9VcRMZIzDLlZQRgM5H3p0qUOG2l3g5kv/y7P6jarzEJFRUVFRUXFRMycOplreQ7EQ2PBT2aL\nJi/OZM0f7QfG4Mknn4yIkYZ21113RcTIEuBcHPelL31p3/Hvfe97I2IUKOk0mFxzc2qUC0ABtyP1\n+3mBv7SUsulgRPua7HvPx1Zq+OJ7BjhHXqwmYiRX/GME3iBXN5LKyz2XfOlmnqwRL1rmFSas1LCG\nOTpew+NeWVnpWKhYwqxXNH8H1tJOGLnkbYQjIj7zmc/sG8PDDz8cEd2GPjnTYzkCW3ClVL9FYxaM\nUrteW+RmVwaDQSeIEPlgQTlADyaR40m5xtL9whe+sG8M+IDZLzj/c889t28Oq6urHQvNAXbezxwf\nMWuRG8P7gOUKzDiYiThz5ky7PnmWnnnmmX3nwgJ2bBdz4lxPPPHEvu+xnpGngxZhMvI4DheCc4A2\nMGOz6L4KYMJK7eJLTO445o7nG3mylpkT64pr0V6Av/N75DXD7xfrmb3PBe0Y41NPPdXOg3vnglv8\nnXtttpPjDorKLFRUVFRUVFRMxEyqMA057ON1Go79Mva/5qk9bpZC1C4aF5oZPrhSQxjOjYWLNoWF\nZ98xyJkF+7JAqdDOOIt+HvR6vVhbW2vn6jKyvq5TjMa1LzZLUbKq0VydweLStcgTy4GxuQwpOHLk\nSOfaTr+0BQrMOCyCPCbFlgLjYQ6lUuHD4bDo37NVwnFEo3/1q1/ddw3Wp61GGLNSplGesuWyxC5U\nNM3Xu0gBMb4/HA47z6DhtegUxHHMAq9EgePLRc6sW5gHmAaAfNlXWK987lgRfNB5GmfOKPG3/PPD\njlUCMGGlrCHL03sh6+HcuXPtMcwPJpB5k8XgjBrWr++ZS0/bKsW6dbGhfr/fiZNydH5pPR4WA5Zn\nukR0Y9F4fhyv4RLkZ8+e7cRwEKPBMY8++mhEjGJnkAvZNzBdbhxHrB7nh8GBiTB2d3fbuAnfU/YS\nxzbx93lRmYWKioqKioqKiZgrZqHUpMR53M63zi1iR99jMZBvCiOAzxINzX6Y2267LSK6ufLEOODH\nca50HrvgcrmlhkIlRmVRUD6XOfr8tjQs1zyrwJaprSFHeDNnWA3O5YJabkLitrOOU1lfX+8wIbYk\nSnK01r0I8pa/oNRyHNhHDaMWMZovlgJgvXIu52Hzyjlp43zPPfeMPQ8W8bjIbRdjMhPm+Aqvl0XL\nEtPut9RiuBQD4mIwKaVi7jtR4c5TL7WkxgJzjALydI0HotjzIkSlOhuOpQGOyVg0ZoFrlHz1pZbK\nfJ5nNvDsYE2WYmZgaFwLh++xjzI3MzeONbHVnjM204qvmWE4TCan3+93mjR5zo5ZcGGr06dPt8eU\nCiIhJ7J0kJezSzgnv1/IG2ad9cx9Y39GJmtra+2eYoaBvcmFCF1vZVa5VmahoqKioqKiYiLmaiQF\nXK7XJX9LlcZSSp18XDQoLCosAywwgFWC5cGr24669KUt6dzfal+vrWr7gEtlShfBuBoJroFQYhhy\nDdktZB2P4Rbdzi23FYBPGE3a1j7WGJpv7rt0bIfzqoEtUc7hDI55kDNHvj5zdjMo2AHW0O7ubrF6\nJvJATo5Md+My1icWhytoOobHfuu8IY4t24NacIu2UsYHbN8+sEU4rhJmxP74DMuBc2JxlXLEsZqw\nxNgP3FKd+8b5WFtEn29ubnaapAFXFjRT4hK+8wLWyEwmGLcW8s/zWgnMk1esTda2mUDfQ9e34Vnw\nvu3SzMRN5BlcnNvrtcQslvaJRZAzWGYUSll9bkp29uzZdr15/bmqr5s4wQKw3jwuzuMGiiU2IP8N\ndQaR93aO4xrsPbNWyK3MQkVFRUVFRcVEzOVks0bofGRHYVpTHAwGnUyCEsNQqoSHduSGHbb87Gt2\nju24vHVbeaVa+yWf7axYX1+Pd7/73fGpT30qIkaarJkbxxuU2hvnn+XtVSO6VbuQC1qnI4Ntedja\n4TgsETTny5cvt98pfddy494SUXxY2RAly8UWj/Ow8/oAtmxt5ZlNY31iKZg1clU1WzW+bzl7ZUvW\neetuLOWMg8NozJPLtZR9UcoeyhkQP59mFsywuPKoexgwN2cyuJYHx5caUOVjsQ+7lC21KLNAQzpX\nDrVcfT3PYX19vY3VMLNiNpT16WfTDIL7JgBnOjhDo2maToxQKUbJFRRtIS+CvNkfa6BUd8FxR1js\nR48e7eyLyMWsk9c1x5kp8++emXAzafl65jN+K8nAYl6MHwbBDIpjtaahMgsVFRUVFRUVEzEXszCt\nVWqpdn1+vDVZd41zBHLJKrWFYX+UaxZYm8yZBVtCaHuuUjbOR7yIFby+vh6PPPJI2xkPy9pMghmG\ncTn5pQhiV4W0ZmzmxZYuWqgtNluCeVdFV0icFuNBNO/nPve5ffNcBHlvCFtsHrstjHH1A1wR03EV\njtMpsXDA99DfM4uQx2AA3wuPyRYxkdjzwnnrvk+2tswG5Ba7LTHDFhr3yhab2Q2vf8cX2J978eLF\nToZFiVkoZRgdBrOwtLTU2Y/MktrSzitiRuw9g8548TlKTAvvfe8cR2Hr35ZyzsJ6vXJtZ3P4OHey\nnRe7u7tx8eLFTs0S97sxw+jqoUePHu2wIO455Pgcx3b4d63UbdbPrFmPra2tDkNKnIPb25t5dv+a\ng6IyCxUVFRUVFRUTMXPXyVzLK1mMecex/Lg8ytT+VaJFyX9Gq0MTcyU2+ybxmRMVzfGlHt55JCjW\nhX2/1nRtaYBLly4tpP0S2YpVXrJC7fsbZz3Zdw5KmQC2QEr+/VIHTltZWCh5PYBx3Qbza7niJ2On\n78IiyOfj+zctSj9fv66aaGvSa4dzE38CrPWXqlf6fuVWgdmfUi8T4Ep03/zmN8ced1BQC6D0fJQY\nBcs7Z0ls3ZWsoFJ/AWTiiqKOz7AVmz9DzmTx/uUx+fNFmYXhcBhXr14t1mswO+j6BDnrV4pvcnwD\n52L/LNV2yceYv9qyBvnYuLbvhWMYvPYt53mxu7sbZ8+eLdb/KHW/BOzLa2tr7Rh5rl2zwXtLaR92\n7If7p5hpcD2L/L4Qn+LaIq6y6Z4jzoCZhsosVFRUVFRUVEzEzMxCHgk8qwXO52fPnm21G6xHaujT\n5YzP0fJgClwnAE0PxuGBBx6IiIhHHnkkIiLe/OY3R0TXd4SWu7W11clptdVozdM+zO985zsL1QTo\n9XqxvLzcaoKlaou2psYdZ225VF3P7ETJcitVjUMzLkUu51prKZ7D/n1eiV2AbZoXvV4vVldXizES\nthwZu7v57e7utoyC89OdB83nrgaKPLAQuLajoC1PjzX/3EyTY1v8HayhP/uzPxsrj4NiZ2cnzp07\n146ZjKRSNoRjFXJ/r9e4LSozK6wNV4At9Tgg+hzG0Vk/YGlpqeiX9xi8bsyOzIudnZ144YUXOv0u\nzIbYEh+3fmFm7Zf3OuYcjlkikt7r21kSvn9+DvKYIcbgaxn+3Vi0Muba2lo8/PDDbb8GOkaWurfC\nspj1297ebuXmdebfhtJ7/9aU4gqYM39nP6Fa4+bmZltThDXOs8Cra5cgb/agyixUVFRUVFRUHCrm\nquBYynqwr7eU2bC9vd1qSHSXI5cVbQjtmsqA9BEvxQZwDfL8HfF93333FcdmLdkVvPK5539HU376\n6acXsiqIgoY9KaFUGS+3KD12omfRWH1PkG/pXpkx4P5gTdpfzpg2NjZazbWUhWAWw308sCLnxZEj\nR+Lmm29u1w4oZfNgNWF95bUqzHogBzMu9LOnBrw7wtlq4p7ffvvt+44DjgcaDAbFuJKSv5n3MDWM\nbV7QG8I+fvukfb89993d3Q7TYh+46/Mzdmc5MVdyzZnzrbfeGhGjnjNvfOMbI2LENOTsx7TYFY/J\nNTAWreR65MiRuO2229rnxfEXjuJ33AG4cuVKu+4sF9Yn8nSME8fbvw14RvCLw9RgjTumLF8TpYqX\nXr+2xhfNhlhfX4/3vve9LVtC1lkpLoY58Ywjy4sXL7b3hD2FOVAh84477oiIcrwO646xsI86hszv\nYQW5/vnz59t74doupbo2zryozEJFRUVFRUXFoWJmZiHvY1/S+Bzp7eP6/X6rKaHxouW86U1vioiR\nhYWV+fjjj0dE1wfsmtpYKljM5OyjQdMNDK1xeXm54y+1b6eUJ4ylceTIkYXqLNDV8M4779w3NrTI\nUr0FW+grKyutvJDvCy+8EBEjjRYNGMvAMQ68d/8Azgtzg2btbJWcTXCt/VLEMNc0q7GoD3h5eTnu\nvffeqazUtNzxcbEgjI31i8WL5fbkk09GxEhuZlc4H9YAzNeDDz647719mnnPjVLl0VJnUbMd82J5\neTnuueeedu7uSDquG2r+eR4/xFhgc3hPzBJsiKPAWSusMfYBLDtbjViTjBWmgf3g2LFjnRoBvuel\n6p2lXhyz4vjx4/HTP/3T8aUvfSkiRnueYyemZYScO3cunnrqqYgYydMMo9cVQAZYvID745gG+/D5\nO/vMyspKZ12ajTPMPCxacbTX68XGxkZ7rxkHc3LsB+A3JZc7a551566ndJF1RWGYF+RK1p+PYwyu\nwshzQJfKe+65p32uzTg7y8Q1HVy196CozEJFRUVFRUXFRMzELAyHw31+fPtlQMlnmvcTd0QmWg+a\nFJoaFhZZDqV689b0iIlAO3/sscf2fS/vC1CyGu2rtKaGlXIYPQwGg0HrtyZeA23S0c9gXKVJPoM5\nYE5EzvI5mm6ps519Z+6uhiWB34zz5dZuyRKyb71k8S+at3706NF4y1ve0rJLrkLpWAkzHnkNBY4h\n0hirhHvEer7rrrsiYmRhoP1zbXc/5FpYLKxXZML6z1kaWwrAcrUVeOrUqX2fz4vBYBCvec1r2rkw\nd56Tac9/nvnBMYyRZ8pVCV//+tdHxMhizXPfI7o55lzD8S+2iHO2y+vCcjIDWYohmhf9fj82NjY6\nVr33H69PnvmcpWF9sQ49N597Wr8R1rEr4Pq9ffQRZWbGlXFd5fCwmBuYW+JX3CnXVRLd/4E9bjgc\ndmJgWAOsK5hc73kwr6xHZ3qZfWE9IxPWPa+bm5sd+ZUy3cxAc27XYZiGyixUVFRUVFRUTMRMzEKv\n14uVlZVOjwT7RktRwXl9azRQrGj+hl/1y1/+ckSMsiVgGrAcHEWKJcIrPnssasaMLzTPSbUlZC3a\nMRq851w7OzsLR0Lnc3v7298eEaOaE446d55yrpWiTdriR6NFvsyt1OHONeHRRm+55ZZ9n7srIBby\nYDDoRDOXLF/HKkzrLXJQLC8vx3333ddGwH/ta1/bN2bWTqk/Q+6bdj0K1hdyQePHgnBMiOsquJol\nlomzefBt4qtcXl7u+NRLfUAYP1YMr46bmBWDwSBuuummVn6sKcbsmiasW+eO93q9zrMFY2CGwFan\nnwkzi1yD5591y3WQM3LP2c5pdTlKdfsZ87ygk6B95ePy/SPKlSNvuOGGdizExDAn2AfmWooj8LOa\nZznl7xmje6Xk65vxuoqkmRsfB0qxDQdF0zSxs7PTrgWeJeI6/LywJtxzIWL0u+EYA8dXOR7LlXDd\nVdUZDFwTObrCad57x+xmKWuHsfKM1WyIioqKioqKikPFTMzCyspKPPDAA62vBx/oOK0nh63W3d3d\nYrdILDMi2LEAiGZ2Twg0PWtoMBb4mLB68FXiW9rY2Oj0R7Cm7vrqsBeucrYImqZpNcCHHnooIkaV\n9qjlf5DYiBJD4BrjrmleYhjMILj7n+NWct9oKQ/cvl/OiUVF1U0qrs2LwWAQJ06ciHe9610RMWJq\nWAO2HMZ1eGScXuPAvmBiZVgjrGdnXACzVbYo+BxrbG1trSM/j9eR1MzblgV/nxX9fj9uvPHG9llk\njrAgJd+62aymaTq57a73wRjd08DPJLLg3nI+LGssYuSLlQl2dnY6Ef+lOgqlmAbHGsyDXq/XPgfM\nAbbOjJvZgDzOiLHkcWIRIznCMLAv2tovdfVFfqXqnI6nyRmbUpVO+9Sn9VeYB71er2Vb2V++8pWv\nRMTIMjf74uyIfr/f6ahairtyhoqZRLPxZsSc+eYYvZWVlQ5j6+eM96x9ZxDOKtfKLFRUVFRUVFRM\nxEzMwtGjR+PBBx9sNRr8tlj/aEW2IMb1JbcvF+2Ic2ARALR+tOy8tkBEdPxRtuTs60SbvHr1aqtx\nlnzYjt6F9SCe4vLlywv1hjDwr/7UT/1URET8xm/8RkSM5FrqB5/nNDvS3/7PUtyJrUH7ZV1v3Fpt\n3o1yWn64WQ3iUn7yJ38yIiIeffTRiBitr1mBD5jaBUSGf/3rX4+IkTxLnSTzmurMBfnAaLF2OJax\nkn2TR1Lnc3U0P3Jj3WOt2/rK+ymY7eCZYi2yTrGgmBfPyiLMwvr6ersWyFSAAXPUu6PdwWAwaOft\nv5VqijgTweyKKw96nbqmRx7T4+qR4/atfEyuhDetAutB0DRNK1eyo7iPsADI01Vqc5a2lIHg7BzW\nPp97rr4vpU6tvh95LwrHgphdcwVdx7Ysmr0TsX9PJ5Ph7rvvjoiIv/iLv4iILnPrjJnjx4+PzfaI\n6DK3hhnDUsdSz9V7Zj4fdxvl2maDHHfmjsEHRWUWKioqKioqKiZiJmZhaWkp7rjjjlbjwzL5gz/4\ng4jo5gPb2s4j7K1N8l37yl1J0FG4roDleg22sK0p7+zsdPxGJd8k3+Xc+GhPnTrVaujzItfymONb\n3/rWiBgxDViInlP+PWu8fs9cnRPvHGPnGlvetlxAXr8CmGEAZin47r333hsRXc1/HqSUWkv6x37s\nxyJiFAVN7I2ZJWSUsyxmG2yB8d2TJ09GxMhyI2PGFgc+ZY7HOrfv3r7KvDaBWR9bN8wDBpCxY03P\nC3XQ0ysAAA1MSURBVLIhuC4WMMwQsUy28plDzlI5E6YU4e+/O8PC65G/cx/MgJkR6vf7HabGbJz9\n8cwPNshs6LzgOaAaJc89cVYlKza3es0ymZEx4+IOwq4dYSbY74HjKXJmwceYnXCWEuub53QR5Psr\nzx6xC7CAMDXuN8J+v7S0VIyj8O+K41wce1Dq8+GYsdI+Ow5cw70tzDS4p9BBMZOy0O/34/jx4+3F\nfvRHfzQiRjfzk5/8ZER0H2RvfGtra+3/3VzEPywsHDfuMa1bCrhzUSG368yvWUrR4YZTjpmgSdpq\nv/Wtb23L/C4CLxTmDG3m0tVu5rS0tNRRinyuEq1Yulf83QGkVjJc2GjcjxootZyFkofO5cdnXqSU\n9gUloXzhjkCeBDR5k8jT80xre624DDlKAOvOAWRWhjmvm1g5oGw4HBZTz3g2OPa9731vRER8/vOf\nj4jRj7gbFM2KXq8X6+vr7Y8A94nXb3zjGxHRVSwd6Dau3bbXld0RDkbOxxTRXbf+O3Dg2WAw6Owt\nTgUv/SDkpeMXRUqpXVv8eOHacgCuf2BAv9/vKEeeA8+afzhK5d+939qIyMefY3Nzs/2xLd1D/3By\nDua9aKAz57SChBFGmimuaf925CWtnRbsvcwUf+kelQqqWRlxCrv32YiRQuzgSBcs5O+lxm/TUN0Q\nFRUVFRUVFRMxc1GmpaWlVmuCyvvxH//xiBg10YE2LrXbXF1d7ZTSNO3iRlJoQ9b2oVQdTOlASSy8\nvDAU53Wwn+lGzoElf//990fEqAnN2bNnF06fzMv4AuZAUSFkApPj41dWVjrMigNkkLfpMd8ja7Km\nzyxvMxnD4bBDj9uV4UJFLrRFqePDgt0cn/3sZyMiOs1h7Ebb3Nxs/8/YSuwIfyd1F5akFJBnC83u\nDv/98uXLncArZI/ljtX4Iz/yIxExak71zDPPRMTiqb4EjgLkxvrEUisxCfmzbHeA5+R1VSohXaJa\nOb+ZNVvI29vbnTRj9oW8PXgON+Q5jBS/4XDYBuD+5m/+ZkRE/Omf/mlEjPYd3GpOj86t0lJbeLNn\npVRUW75mA5we7+PztE4Hlxq+t+xvuAu//e1vj/3eLGiapsiyIE+ej1Kzsu3t7XZNs65cTMlMjNkU\np1za7e51yZ7o6+T7K25GvuvfSM7BmGEYYVYOisosVFRUVFRUVEzEzC2qI7raqFt9uigEmi/W/NLS\nUqspoe2UfGEwBw5CtD/GFjPg81KJ5CNHjnSKmzjYj7FiMaGJvuUtb4mIiI9+9KMLNz3Kx+4SqowL\nixEfIHLPAwTtS7NFYN87ljByso/MAY+2YmzB5GsAC9hMlLVufN32zxM4tyg8Nrf+dhMj5Jxbwo5J\nyFtxR3Tl5qA44DUGHOhXCnTa3Nxsz4E8nXZF+jCWPixHqSHZrEgpxdLSUjs21iHBnMCsla3Xq1ev\ndpp7lZgsMwbAjISZRa9Xx5rk1qZ956ViQg5Kox35rC1/jatXr8apU6figx/8YEREfPjDH46Ike+e\n/YBy8OxHnmOv1+s0DTIr4kBR7kMp0M7rkPvDefi+g24Hg0FnTy4xDS5JD7OwaIxN0zQxHA6Lxctc\nrAim0XFFly5d6hS18z5gpsvP+zTGxvuy91/uw+bmZjHYlGsyH5gF7vWnP/3piKjMQkVFRUVFRcUh\nYyZmAQ0NLQnN77d/+7cjYpQNgUVjn1+uZXGMfetOObGFwLVtCfs4l9u0Bo01ubu722FGnImBVufm\nNvgQP/KRjyzc9ChvlY2ckOfv/d7v7fvcbZL5/Ny5cx1LqxRpbGYAmHnwPfT58vFHjOR77ty5jgVs\n5oRYELJLfM7DSEXLy05/4QtfiIiIP/qjP4qIkVWAJcEryNvu5uWW8znZF+71DEptjX1fnAUA8uYw\nZnNYB1gQtMl20yT7+edF0zRx5cqVNkr9T/7kTyJiZLG4Tbqvm6f1OdvGDIHl6ee8VGxpWmyJCzBd\nvHixyJD6HKwL1gDltEmlnhfnzp2Lj33sY/GHf/iHERHx0ksv7ZsTFjexYdxvZ3PlBXuA08Dd3thM\nWCl7pNRUD9nBAuQNuoD3FLPIzI+S6YdVTr9pmtja2mplglyJBaG4Hs8yWREuWpZSasdOBhVrw3Er\njkUoMTSWs9mBEuOTp6S6DYFjwXjP88g5eG4PisosVFRUVFRUVEzEzDELTdO0mt+v//qvR0S0mjDa\nEj59l/nMtVP7kUvFf9CeSxYX2r3hXGTnLKM15tG6ZiXQ7hiDW9CSpXDs2LFDs9YiIj7+8Y9HRMSv\n/MqvRMSoYA8+JnzDluHOzk4bSWyL1b50y93R0aVaGWZ+7IcmMnd7e7sTj2K/PjEJlqvXy7xomia2\nt7fb6PIPfOADETGyXN75zndGRDdmwVZs7jPF+mB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9aCNRkY6Cdh7VSdE0e8sEc1/7B9sytV9VaTFjYZaRwRFDRgV9ZyzRH/swo+u1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\ny+/cY1RJwUm3y6HS/cLEJ1uIDhLw9uDOzk77MsX2Fi/ATpn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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_clusters(labels, limit=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "from sklearn.cluster import AgglomerativeClustering\n", + "agglo = make_pipeline(\n", + " PCA(n_components=100, whiten=True),\n", + " AgglomerativeClustering(n_clusters=7),\n", + ")\n", + "labels = agglo.fit_predict(X_norm)" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.087401318455533936" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "adjusted_rand_score(labels, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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WT4GqqsbYF+CxjvH7XJZq77/Prbl4/ch8uQeFr3HukUL7vI6cv2/u7e01smr6\nu7LXS50VPnYPqmNFvJjHsXk2RX9O7hkF2thzZ9KY8/1dzjMcek1N9PratWuNTKRcg3FC+3O1JnOY\nuGDxtWvX6pt68UGEENPi3qwrU9tLpJRPlLCwsNAahCvl3YP8XjGtYzw+wicG4O4js6DT6YwlpIht\nckR3zLb0lLGtvhlwZYX+jC/8uaB1ZO2BhHzvaW+dul9aWmosbF4Az2nkWbCwsNB4SfEiiXEg+gu5\nP+9c8gtflNo2YL7Bc3oc5DZ3ud9jYhQPfHX3mlkn28FgoK2trWzgsG8aO51O4zvfWDFpedFdf/6u\n323X9FTruWQYbcU04z3iXEE7WDRwKTusfMQkqKqqlhNjiCQYtC26V+U2r+7i4DLMuRK1JUtxXc89\nDzds5RIeSE1XR+YCrs1cNGtxzW63q5MnT2Zdeblv28J9WOHsXMr8nDEwurfnNmNt5RDi9+i1z8PR\nyML4eeihhySNygLMOxV5LoU4+skzXllZaRRedYMMMqKNPn+6QTOOubZ00vEcl6XPyQA9jWPfDRm4\nZ/qL8byAAUsajRcvJdLmXuoGCt4fcht4T0DVFpLh7v6+ufd3MDbDubmW46uqavTFXbrnqatxzW37\nzf/2jWxu7gCxX7HN9LvtWbiRqi0Ffvz0jZW/D8cC84wxwEbY36mnRbfb1ZEjRxpj0d/bwGAwaBjf\nPGmW65ivW/7+2JYUw8fAYeE9viH1JE+9Xq9R9Bx4EqVJUVwHCwoKCgoKCgoKCgoK5oyJXQevXbtW\n7xih16HR3TIQC7Yd5iroFmp3XfNd6vb2dsP1LZce24Ozc65Bcefv7XTLt1vcpkVVVdrb22tYh73t\nMXEEljhc8TiHgo3OMjlt7Tv66N7i1mp2+DmGpM3qHttPWzqdTh3ojsXFUzzPKxnG0tKS7rjjjppp\n9ZTWbrGqqqrBjDjlnbOKOqPVVtzUmcZcCv1ccLlb2kB0s3CrbhtDMwsGg4G2t7cbbnQ5V8soU2SI\n5Y3PXPpiZ8ucWcHlRmq6JLlMo+uqlLdU8fvW1lbW3YxrMa5mLVjM2Gfuw1WQgvAuvzgu3K3PrYse\nNH9YIhIpX34AOKPjc7cHg/Oce71eI/ENz96tv6wp04LC2u4u7IhMYO5YXx/ci8H/9jlbanoA5DwG\naIO7s+Qs4TEVsZcf4NNLpMwb3qa4zvj8w5hydyfAGtBmZZbG3RRziUK8XX4uyCUYuXz5cq2PyJ9z\nYd8pP8BcXYcwAAAgAElEQVQaNgs6nc5Yf7hmmyumND7f5DwKfG3PrQs8h8hGc19/nq7XtINi1Hz/\n+uuvSxol5yKpT1VVdeFgfx+kzzHN/yyJRiiX4wkrcuVA4nueezq5W7bL0t0eXcZxrXGXtFwCC3BY\n+ZSNjY1GMgpYJPdymNXFHfd2T0zh60RkS/0ZuveVv1exHngyHHetbHMtde8Mn7fdG8DZVH820kju\nh7mL3iwKo1VQUFBQUFBQUFBQUDBnTByjdf369XoHTxBnzhoVY19ygey57z39KIg+vW7xcf9j96V1\nlszv2eav70GJuSKV06Lf7+vq1av19bE05XbtOzs7jdSzznR4GncPfEWGWO9in3LJDjwdJ3Dmy/2G\nYbFSSnW7Pc6Ea3uRy2mxtram97///bUVza0jbdakXMFXZOXWW4/PiGmypXFmLHf/nA+46/FBDIP7\ncjsDCWa1aqMbngzFE1fEmDxYQWewnAX0OcJZMveBj/LyuAJnxoEHITsbE8sS5OJGvOTDrL7vJN5A\nL2CyaAv6GxNfeHxfrvBjLt6vLZ29HwNoh3sMeIC9W4Bd11ZWVhr3R8fRCazh89DTWHDek6TwyX2P\nHz9esxXoqffDGZBcMU1fZ+L6x/Mi3s+TssBmeiFfZ44jy+qFwLFosx7DLMwj5rUtxtOZ5jNnzkhq\nTzDC326xdm8Mj1V2me7u7jZYdZ9Xc/GoufmG869evVo/H0/KBZD1rLGEtKPf7zeu5WtojHX1dO7O\ndh1WKLYtrbs0lJ0z0q7nroOMody8EJl49zDgNy+kPo8yJHHNPczzodfrZRkqTzTijL/Hrvm61e/3\nG+uRe0a5zHLxcG05Atx7IbJd8dxZEwzBvDI2XS98zsb7RRoxwXgquBxyRYdz7FRMsuXPqy1OPN7D\nGUv0HT3e2dmpf/MyBAD9dQ+uw1AYrYKCgoKCgoKCgoKCgjljIkaL1JmAXR2WF88CGIsc5jKCAHaf\n7que83+VmhlJfGfrsTC5YnGObrdbWwtg7djJYh3At3hW/1eyuQH3u3UW7pVXXqll8/zzz4/1B9nA\nIvHpBVdzqWCjBSaXOjdnicIC4JYILIQnTpyoYwdyzNa8sg5iSXbrietDtJYc5s+MjNB5twxiTXbL\n/d7eXiNlq8s4Z4UEueyEMesgcPYsl3p3UjD2nbEDyBpr2vr6eiMttj9vj8Nwf2z3h44ZmnJWR88w\nlEuD7vEIHHf06NHacoeeeqwjf89qfe33+7p06VIdy4BVHzhrGq1/7ifv6bT53ePJPEUzRW57vV49\n1zmD5ywa5/qYcA+D+Gzc+ugFOunjrNZXGC3XIfQCCyttjnrscSvoBDrP86HNXpbA2avIaHkxZHQL\nJo9MgfTfC2SyxsZ5N5cJ1+ditxrPilycaowtcsYbnXId8jkBHfQU7fE8H4e+rrPmOFvtTIyzuisr\nK/W5zAG+zrXFc0yLXq+nV199VXfffffYPXIxoDHjcC7m6LDU457imjF+5MiRRpkJ95RxOdJOmFOy\npbonwPr6en1tzy7osek7OzszrVUpJS0sLDSYLPdoiPOC62pOlv6ZKxvUlro8lzLf36s8Dgq0rZEe\np+vvE/Ma93iyoTvMey6P2GbXT8/m6f3x9xRfF+L7f24P4WPB3y/8HcF1IqXU8PryMegM/M2iMFoF\nBQUFBQUFBQUFBQVzxlRbXnaA+GSz+8QaFH2mc3EWuSxtHk/k8SwRuUK0Hr8ADsvAFnfmWGPwLXX/\n23PnzkkaZSGaFnt7ezp//rzuvfdeSSPrhO+2I+vlli/axDle9M3jiLCe+LPZ29tr+A5jefS4lFxx\nWc8eQ5zJjRs3ausATBv3wBLmVsRZ0O/3szXZ2or58n+39LneYYlGpsRD0E/0JbICsb6M1Iw7dEua\n6+lBtVHcuubxCvOuo+Vxfc6oRFbE4/eAMx6uY54d0sdeVVWN5+TxFugQzwemzWu3+fyytLTUYOjd\nJ31e2dx6vZ5ef/31+vru105bQUqpHleuMznfdrdCw2DBor388suShrLnGWKtc8YK3XZrK987q+t9\nje0DtJM+zwos2rlaQK5zW1tbjVgGzmVMo0PotrfVx2u0zrbNNVLTGu6sGDLkXrQh1lD0IvJc29es\necQTtcFrAPE+8PjjjzcYZ7cyu2cE7w7uyeJW+cXFxcZ84bEqzgT7+udzRazl5myN17bK1eqaBr1e\nTxcuXGi8NwHXszjf+7zumUldJ91Szxinn5G94poeq+gZTF3vGC+0O8497lHghalnXZ8iYv26XMbe\nOB+5bPwYn0Pd+8qZQNDtdhsxdO614VmOvVCvj4uYf8DfF5zJnVe9x36/rwsXLtRjgXk+9jN+Li8v\nZzOzIiO8m3K1QnNZymN9zjbvIanpdUb/0UuP0+O8a9euNWLlnJHn3qyjN4vCaBUUFBQUFBQUFBQU\nFMwZEzFaWAvZ0d51112SmtaSGI+Vq1nlO0ePG/LduN8jWvS8NoFbc9xf1K3/sX/+PZYQduDOkhAn\nRdaoSdHv93Xjxo1GBinPcMXvZ86cqa0f+Eazu6ZtWOTdZ9XjNzyD3JEjRxqMY84SRmyBsw/cm7/f\n8Y53SBrW3MAiguULluGFF16QNLJEuPVpGkTrXy5GD2xvbzcqgrsFAxBjQb/pL9/ffvvtkkZWn9XV\n1QbzmrPieeaoXBxjRK7ujI+BWbNjDgYDbW5uNixynuGS71977bWaNfFMmt4PfncLKfJwFoe2SM1Y\nOb5Hx3kOnlEuF+twyy231PpJe6LFO55Lu6cF/YAl5fpusYuZBb2mF+32+CFk5owfeup6fOHChVov\nX3vttbF2ck/GMow08xDncS90AbktLi42mA2eC1ZYjvW6MZOCNcot2fSBvmHtXFxcrGXAdx5zlstW\n6jFprt+xnozrp8eqwJbdcccdY9cEHisU4yV9DvbsrbOOfeJBfI0GfE/bz5w5o/Pnz4/1zzN8oZ+0\n3bNCehw1+n3t2rWGfnoNNq7hrBjyytWsXF5ebsxjrO/xvSNeYxb0+31duXKlnifdmt8W8+j1yHz+\nz8XEe30w15mqqhoeJX4vZ0bjGic1WRnGduyLZ67zmMS2OkmTgjlAajIm/j6zu7tbt43nwDwMA+Kx\njvyNXOg/+hd1KKcnUefi37l3H2drrl+/XvcNmTKn005/H58WeF5429ybJTJbufdHf7ZeSxPd8Vqr\nsd6WM60+NnkuPE+eAd5n3MPn8b29vcYcTi1WX1cnrU9aGK2CgoKCgoKCgoKCgoI5Y2JGa3l5uWHZ\nZAfJjjFm+XBfYnbF7MKd8WJXys4dSxY73GiJ8TpeWFjY8XoGQ89wkss+En1a3SLCPWAuuNbXv/71\ndqEdAuo+YHHHCkSbsHicPn267jdWKfrvcQfA4xLcBxnEe7nFyxk8t976zj5n5V9cXGzEeGAdwKrB\nM8cSMS2IsXNrkvsSR393r4XhOuGMI3JCt7CyuoX69OnTDV9irz+Uy5aZq48W44k8JgccFuc1KbC+\nemZIPrk/7OrLL7/cqI2Ty4TlLKL7s6O3UfdyMVr+XGCaczFlHm906tSpen5zZsDZMR9vk6KqKu3u\n7o5l/pJG+u/6urOzU8czMlb8mByrQZ+QLc+E6z3++OM1s4bcGQPE3nhNQbfAe2bWKK8cg+jZ3LjH\ntGDse2ZLr48U2QKfa/mbtnENngv9c6aTMR/ZKHQEDwBk7DEIXOvUqVNj18zpdcyM62yGx0XMq+ZT\nLssXQG633nrrWDbL2Cb65bqTiy1yNqXf7zfWe8/K6eyJz7NeIwtdWVxcrNvDuw3HkhWSa886n0rD\ncfHhD3+4bjfzpa8HkZlEHh5D5nFTubhYj13kmV26dKmRVQ6gs/zu3h8eM06b0PmNjY1ar2GJONdj\nZ2fNOkpNTGdz/X0mxmX63OCxmu7Z4Bkx+Z7zY4yty9tjg3N1D7kH5/EMeMe+fPlyfQxyZ5307Mqz\njn+8rtyTwePuYjwqbfLs3J752jOlAp9r4rtiLoMkz9q9ImgLMsytBaurqw1WnGOZc3yNuFkURqug\noKCgoKCgoKCgoGDOmLiO1vb2dr2rw2KBpQ9/Znavx48fb1gsYC/cyu21SjyWgGtGqxlxU+xCPUuZ\nW2/dL953wtEH333kPfsIVgusvdOi3+/r6tWr9e6atmMdZScf4ydeeuklSc0Yq7YsStLIQpWLZYtx\ncF5ng08sEDxP4lja4me4lrfRY3NoF36wWD8mrVHg6HQ6Y5lvgOtHbI/7umP98OyTuVgCdMsZ2Kqq\ndM8994zdl3u4XqLrHlvAc/W6PUePHq1ZEK8L5RbjWQGjBbPKfT3jaIyBceu0s9ae2dH7m6vTEev5\nIUO/5mE1NLxeCffY3Nysn9073/lOSWrMM+grbNC0qKpqzNrI83WGgnn26tWrtV56bAPP31lidMXH\nLc+N612+fLkRU+cZ7/idcUSmVO7FWOeaMWuhz2/A2dt5ZBztdDqNeQhdRMYwfCdOnGhYSD3jKhZS\nrMn8zhxN//mbsSGN9Io529lZZE27mAN8Lvfskjs7O/Wzdg8Ol2mMlZkHcpnBaMeZM2f0jW98Q1Iz\n2yLjlbb5uo9skbnH/t5yyy2NLGtkzoS95p4e/+FxtzGGMB4Xf2PME0fsdfhmwbFjx/SJT3yijrV+\n5JFHJKmR3S3WtHQGC3kiA8ae65GPf64ZM+IiN6/lyZzutd94ZjxDj1+LDA/x/A8++KCkkVwZM3xe\nu3ZtpvqExL2614rHCMbs1p5pGT3yfqEntJ350WOro+eQZ192ZjHXTuDrK7K/cuVKIwM0OusZoieN\nJ3J0Oh2trq7WrGQufh053rhxo+HNwm+0P5cnwd9xkB9rcGR1fc3zLJHoLXMv+utrAmMjpdR41rTf\n51qe582iMFoFBQUFBQUFBQUFBQVzxsSMVsw+xA4RCwAWP3bUL774Ym2pwArMrtizgLH79oxsHkeF\nn+jJkydrS4LX3vJMU27B8loUnk0qZotyeKwHu+Fp0e/3dfny5dqKRD+Rj1uVnnrqqdr/Peb/j3/T\nzyir+Il1wH15r1+/XltxsRrwPDzDI+3EquPZBkGMpaFdgGvceeedkkaWh1mzuVVVpcFg0GDsPLYk\nWpU8UxJy9wx0zroALGXoA5abV199tcF6usXFMzrmKsxjSWMM9Xq9Wm9cX7yu0qwggxLP0H2tPYZy\nbW2tEWvg1liPv+D5cG2PiYo+2cifOcjZarda+bXd3x70er1a57FmMY745Dk9/fTTB8rsMMBoOVvM\n/OT1QK5evdqwIntcrLP5H/zgByVJP/iDPyhppDuwrOjp5uZm3Q6fx7/yla+MHctzgNH6xCc+IUl6\nz3veI0m6++67JY3HMOQywbqleR5ZB2PGUdoAK0f/mQNvueWWeo1CF9yLwmM2XMf4HV2M8S/oHfMk\nOsUz5Vj0kTnw2WefHWsvc4hnH4z/z+n6PGo+DQaDQ1lyvj958mTdbtYqZ5i9piA6h3yIiWob++49\n4HWo0C1knmN3PW58YWGhIUtnfoCvZdMAzwvGIs+cdqGzMd4wVx/L43GQu2f65VrICPnGjIb+PsG1\nnNlCh5mLfN2O8TeeXdK9bmC8qqrSY489lhPZoej1enr11Vcb3iLcn3Ef2+jxUO5V5TrrzBXXRN8i\nI+e1F/0a/jx8XvR3hVgbCr3m2dJ+xpLXQZwW3W5X6+vrjTHgsdbo2ubmZq1L7kXkNfBoK8/J39Uj\nk01f2UtEzwGp6VnHvgTPE/dSQudipuhcxln65szwzaIwWgUFBQUFBQUFBQUFBXPGRIxWt9vVsWPH\nGpYhZ1BifJVnD8zFFHhufLcoeUX2p556qt5lurUMKwntoZ3us53LHBQtW+4bH2UhTZ59xIFVm7az\nc3dfVdp+/PjxRt0XLM0e30WbvZ6As4M8m3PnztXWK67ttRiQnVtxsC6w06emCs8iwjPwwNTQHqwc\n02IwGOjGjRuNjD5u9Y9ZubyKOL/Rlueee07SSA+xMPOcOM5rbJw6darWJe7vdc7cYs7zcaaDTyw6\nS0tL9VhDB4DHzs0DZB2VmpkBQcyeiSUJKz16iKyxOnpWP49/dN1aXFysra58uhXPa8C47vPpTMfx\n48cbtXSclUD3OWdaDAYDbW1tNbIfeWxNnBNpk9cK8fmV/sFouR87uvS+972v7tO5c+ckjfSR8cjc\n/LnPfW7sGnz/1a9+VdJI1773e79X0mjO6nQ6dbu87hnPln5hdZwWZMdDhp5hzq3RMUMW8sYSypjC\nqkx/kIvHyTB38ryiJTlmjZVGY4J5kjFN9lrYUs/myVx59uzZRpyQr62Mp1kt2ngI5Lw8PKZmbW1N\n73rXuyQ1WQ7kj74iB2SN7uXqVl2/fr3hbQFirR2pyTw6I0lbop7mPGqI6fOMhrOg1+vp0qVL9XzC\nPbi3sx/Ly8t1e5AbcyzvQsR7Ucesrf6oNNI3vEluu+22evzDYHMtnpV7JIBc5rjYTxgZjmXc0w5k\nsLKyot/5nd9pvc7NgBgtn2fcY4W23nPPPY0sgh6zxdrCvIDseS7IEDnxHE+fPt2Ijz8sTt7fN73e\nLON/Y2Oj1luuwVrgMd54HkyLhYUFnT59OjuPeKbwra2tRgZwX+OiF5XUjLX2GKnoyYHHhMe98Y5G\nPCVjw+Pm0WN0Egbs7rvv1kMPPSRpPG4rttvjUW8WhdEqKCgoKCgoKCgoKCiYMyYydy8tLenOO+9s\nVMD23V3M7uG1c7AosGNl9+81GLB4eAYodu2bm5v1rjhXEZpPdqextlFsv8cVpZQa1rucNW9WxgBG\ny+OIPAYKC8GZM2dqGWFZwYKJHO67776xtnm8jrNkkRXhmm755xMLA7LleSJb97k9e/aspHF/Wq6F\nlcPZBa/jMSmI4XHrkGfvQ293d3drPUWWnOOZqfgeKxa/o/Poa2QguR/Pw2OPsOa6f7azqhzP59ra\nWm1VQ5aesdFrzUwLMg957Tp0kTbz3F9//fVGnSnOyVVZ90yOzgB+53d+p6ShrqGHWP65ljPNtNfr\n9XnmSSxry8vLDWuWx4DyzGeNz8T6yrj1mFOPXzp+/HgtC88AxnNwv/37779/7Heej/vQnz17trZ8\nYv2lfxzzoQ99aKz/yBDrORZw5hPaur6+Xj9TfosykEbPZ9YMecjUmVYfv7Qj3o/vkBHth3XyuE3g\nDHyMEfY5l7WHZ+0eHTwvz7bl9beOHTvWqGXnWeN83ZsWrIfu1eFMVqyNFrOESc34PnSGbHm0mXsg\nY89svLW1VT8nxqyz9846ebwL4417RM8B+uBMnLNks2TGiyCmUBrpSC4+XRrN71jhscpzDqwU67jH\npcfxLqm24N9+++0N5uaZZ56R1GSwPP7RdZnn4IxLbD9sg8/5GxsbM9co63Q69bh21tPjnc+ePat3\nv/vdkkbjH9l5bJ/rHXLw/API5erVq413LeB5AmLb4zVYv3mni/HMHkOHvnMuHiEPPPBAi5RuHt1u\nV0eOHMnGf7un0Pr6eqMO1eOPPz7WVs/g6nMZ8LXovvvuqz0K3BvC3yNpF8+a9sF8eX208+fP1/PM\n93zP90gaPVv3jpr0faowWgUFBQUFBQUFBQUFBXPGRHTM4uKibr/99nqXzY4Qn0h8e7FWDQaDRh0B\nZ0jYbbI7ZifMPdx6ws7y5MmTjcrQ7j+Z2x17Vh3aENkpjw3zzIR+3CyI/u9eE4z7YRFJKTWy23As\nljrPYOMsDVlWkA87/7vuuqve9bsVl+fFM8aSBiPJPbBAusXq9OnTDesO7fbnlmMPbxbdbldHjx5t\nyMX9oZFjvKczI27FdjbGs5q5z/GpU6fqZ+q1rrw9WHU9Cx+yJhaGLFUPP/xwIw7D/ejdkjktGPs+\nXhlT9Jf+r62t1dZ5Z7XdZxpLoWcC9FgtfLOPHTtWMwMe++Iy5ZrOYrrlMFq76QPt8Nof9GdezKuP\nA8AzZby+/PLL+uIXvyhpJDN+4xOZ8TeWUHTIs4cih8XFxUbdHs8w6ew9YwFLrtcoi3M6v6EnPgf7\nnDULer1eLUuve8T3yOPSpUt1vTRnOGCCyKboGd6wynpMRMwo5l4XPGvmC68HxzOg3pDHscYMgl4f\nCnANdGAezOvW1lbjPrlnFvUYGT3xxBOSRvrnzIbHa2K1pg/0e29vr+EZwHwIS+MsqTPQHsMNNjc3\nG0yWX2vWmkQRKSV1u91G+5CfZ+jrdDq1FZ8YONgY5i9fnwDXRq/e//73SxrNqcePH2+8JyBzz2TK\ncT4/8uneIceOHWu0x7PO8UxWVlZmYgsXFhZ04sSJhgcV86W/Zy4uLja8NDxmDpbDs7EiF+ZYj2nt\n9XrZDMK+Hkf9jn9zPMyKZ4GWmpn56AdMFtn1ZkGblxfwdWFlZaX2buB9EbnTRvfA+O7v/u6xvvh8\nyLoWY8WcreUY+v3e975XUpPZIqslbWD+6Pf7NfPGs/a6oWDS+qQTbbQ6nY7W19drBaMxBPCSkjUq\nsSdN4G86hyBxjUAh/UXW05Gurq42Xor5zKXx9kQFCNpTSTIBRvjLInDqd1LwssUE7nS1J1KIBfZ8\nAnRKl37zOxMKEwIvG8j2lltuaWzGfMPBxM5CyUuwB4YyUGJhW3/J9c2Au3VNi06nM5Ze3AMaPTj6\n5MmTjQWVl8fcc4+lAKRm0Gqc/Pyllnugvy4zwO9M9P/iX/wLSSN3uXPnztWTPM+Bc1xHZg2IX1hY\n0K233lrLjLb6xu4gY4Wnn/aSAO6SxiTHIsN1rl69WvcTXfbCqP48PRmC6xzzUEz2gw7wksK1eKmZ\ndfNaVZV2d3drOdAH5lUWBnTt0Ucfrcflj/7oj471n2PpD8+FeRfdZ3NLf+lbt9ttbBQ4xt1P3SXX\nk9s4BoNBdrPtyQ5m1dOUklZWVhpj3+exuAGif7hRxTTlUrOQsRsV3DWN35eWlhrzhicDQNfc1ZHj\naK8XRY3rDvcFHOtlCabF9va2nnjiiVo+njzAU1RXVdVwfaS/vPDiMogrEfDkSqxZMf2zjzv/m2sw\nn7hrl8uQ53j9+vWGkYBn7unT52UQeP3112sZxaQcUjOBQkwF//DDD9fXkEZypa+8uHqoBmsNnzFx\nlicl4oUdXeRv2oAxlmeJgZ25JxoOfc53V/NY9HuWjVan0xkzLDDf+fsjm/ITJ040ygIgbzd6owv8\n7uVyvPTC2tpaw63Oy6L4uPf1yw3AHL+7u1v/390h0Xs3vk0LkuF4X1xfwI0bN+o5CRc89I1ni64w\n17I58pIGyJRNfEwI5WUrfPzw/gC4JmODv6MhEQOGFzdGhl5Q/WZRXAcLCgoKCgoKCgoKCgrmjIkY\nLacP3fIALY2lY3V1teEWgzWEHa5bjGLxQKlZIDe6b2Cd8IDKnLWJe3lKZ7e2RuuOu4vk0s5PC6wF\nwAP3nJXb3t5upLZmd+1BtFwLiwuWHk+JzT1ikgEP4nYrgQfKY9Vw94PI3rhLp7t7cY9ZrdrSUH7O\n6nibwOrqam0JxHLiukJbscB5kcacW+JBQaTOFCBTZ8eg/r/v+75v7PejR4/W/8d911PltwUkT4NO\np6OlpaValu7u4sWzo/uWy8ZZNneZ8cQBPvZjkV8vKI3VLcdiuksZiCwO92Ue4znRNyy47g4zDaKF\nPiZnkUbjlvvecccd+omf+AlJI52IgdfSiClylwvGtTPkIKZER95uUc+NVx9XbUlo3NU0xxh4QdFJ\nQdIWnq8zSCCmlXaLrLtDe7/c2plLI766ulr3j0/30PA0xs5OuXteXHO9qKYDWcJ+TIutrS099thj\ntV7gauljKLrZIztc1GDlH3nkEUkjvfyO7/gOSSMZegkLT6ve7XZrmcWkI9JoLuYasPwe0B4LgEvj\nsnf3bU9+4cz4LOj1erp48WKtT7BprDketrC4uNgIl/DU6sz/nvgJ/ee9K4YiSONsnhcT5m/mQ1yy\nYIWYc0iigQyje6B7LAGfSxYWFmZitHhHRffpE/AkQdHzxd/l3KsKnUVvcuyGzxsRnlApVzaIcz0d\nepSTz9fOPNLeWT0vaIfPqe7aGln2j370o5JGjGlku6WRLgEvVMy13eW63+83Uva714LvIfxd2pNd\nRS8Xd0P0d7aYZn4SFEaroKCgoKCgoKCgoKBgzpiI0aqqSv1+v8F2ECeCtYTdaFVVjV0nlgR2kVih\nPADUU4d6Ksetra1GulYPfnXrDztd3+G6j26n02mwQznr/KzJMEjv6nEO3reYjMOLxboVACuCx354\namMseTE4mOfhlhXgLIRbZj2OI/o151Lm0z7aD+s5LUiZD5x95O/oj48lkDbFotvxXGdM3P8ZljBa\nfTztMM+LexIrh7UEGXvSE55n9NvmN4+388QG82BeIzPhlnZP/x8ZrbY0xbFtbhnHtxyrV0wTzrWR\nHXMOz9uLd3vCF+D6isxvueWWevx4PJoHNs8KZErgMEwZY9/9+T/+8Y834sWcUaat9MdT6nNtZ+pj\numAfw87oMKZ9DvT4Ftq9tbXVKO6bSzI0jzIEKysrjTkQwA5i2T527FjDM8LjJzx2w+d8Z+liQidn\nWv1c1z9P+5yzeC8sLDTiDD2gnvFGXO202N3d1bPPPjtWZkBqJgiK7A9tgpHiWEoIwHTBBjDPenkG\n9BoGd2FhoVHCgnHKM2eeYPxwD+TDXOmF4mPcizNZrq/zAF4CHvMX4yY5jjb4s/ZU9nwy3pC7B/W3\nvRPAOqGzPANPhkO7uBb6gIcQczDPdGNjo76Gs+TOjnQ6nZll3Ol06uuxhnjcLSznyspKlgHxeYy1\nhn61vZvFzzh2c3GNgOeViwls86Sivei7r/2eeG5eyOVNiInBvBwC8Dk2V8jY+x/f3dzjB/i7qpfJ\n8Wt5OYXd3d3Gezh9Yw7x94abRWG0CgoKCgoKCgoKCgoK5oyJGK3BYKDr16/Xuz6sVRQSZfeHZWZn\nZ6ex62W37X6WOUu5FwqL6Zo9e2DdKUvpC9wq4DvcaMHNZS/za8wa+0KMlhd3RS5YTyJD4z65WAmw\nXk2Of1IAACAASURBVGNN8FTjblX21PFLS0uNQpOAc5C5pxb21NzuzxsLMwL3n3bf4mlBOmK3IgH6\nFnXQC9x6OmrglkEvyOmp6rvdboM5zcUYoAPImDYRb+UMx+7ubq37pOllfHFPH2fTAjabPsQxLjV9\nzyNL6/EEbi12yy2y9fStyGdpaak+xjML+bNFhs5i+72iNdwz93Ff/sai7sV3p0Gv16uztXq2NCzb\nWIxvv/32+juPa/MC4lzLrbMec0mfFhYW6t9c7q6/bm10TwGPjUwp1eOI5+KFrj11/rRIKY3ph2fc\n8zgdqRkf4OPS14tcnK7Hy6yurtYyYLx4mmmPh3MW0dehyGK5t4V7XdAe5oZp0ev1dPny5ZpxhYF1\nthREKzbPAQbB06f7Wu3Zdt3Cf+edd9bslq9rnsXUGT7GLc/Cs0hGuAeDpyyfB8jizPrrYySXOVVq\nzmce74u8+R45e5bYGP/KGuZMjccqcRz6gB6wxsAYxpISzno5ax7jfebBGno8sJesiCVXfM7xMejy\n91hq5OVrf1sx6hz7j+x83HtMYGQiPSfBzWaBnQYppQbb6zFR9Lvf79f9cdn6+Pf3xpzXQBuTn8s2\njmz59DHAOPO5ON7f1wDXyUmzjhZGq6CgoKCgoKCgoKCgYM6YiNHa29vTyy+/XO9ssU5gNcRSFGMz\nsNZghXLrjWcF87gN95uNTIoXLszVtIrZr+KnZ/SLbclZLX1nOw/rS0qptkg7w4cFILIhWJj4dGuW\nx5R4pjHvP+h0Oo1YD2cAaI9bZjwOzmsiRauB+zJ7DMg86hPt7Ow0rI9umY91b2ifZ/LBMugWV65F\nTJb7DUcLtWdY47m41Z1zn3vuOUkjCywy9Lo+sV4Nz81j6+YVS4jfO210NvmgDFnxGlKTdUIu9IXv\nkS1yitdzptfrtNAunzc83s1rj1y9erXuG+2ImRQ5JspgFqSU6r6QtYuaIsyvzJ0rKyuNWiHoCFZm\ndJp+uYXQi47GrHj0k2OAxxa6z7vPu4yRaKX1DF0eK5aLYZoGMUbT1xPGSey31xwDPm86U9TGNETE\n+ohuffYsg561le9zWQgHg0EjDtHZZWd6pgX13mAw0DnPsthm/aVtHm/qNWxclh6bHX/nfow/xiOy\n4pyDrOJSkxGLDISzhY556OnCwoJOnjxZewZ5/Ao6GuPcneFwBtDZTWeunY2IRcZ9nLvnAXOPF5X1\ndZx7w/ysrKyM/b/t2HkVLCcvgMd9e9v5u9vtNtqSq33na7y31XVnaWkpm3HYPaH8XGelXB8jw+Rr\nvb/fzVrr1eE61FaMOfce4nqb02PmmJy3WoTPg/zt8mGOdY+NuJ75+PEC0p6V9GZRGK2CgoKCgoKC\ngoKCgoI5Y2JG65VXXqktLGQzwmrgtUKWlpZqS4ZXZXcL5mHWJ981LywsNCyLHpfi2bG8NkGuZkHM\nmObsC3BLxbTASoW18Mknn5Q0ij1xFmp9fb1hgaG/WPZgAtyak5N1ZAc4xy0JfO8WFpelZyaLWQnd\nwgDcejOrTIl7y7GQ7nsdfYq93pBn7uFazkLA5np8TbfbbVhF3XqHVRfmAqvbt771rbFrkxUq3sMz\nDAGPbZg1ljClpMXFxYZlLcf4Rl97P9atQ+gW/cfCi1XLYyiIFY39ghXk3LbMV5Ia2a/c4nv58uX6\nfs5cxXob9HFWRPaFWmjIgXhJWNXd3d0Gm+TMEHrgtei8BhaIY831y1nSHOPsuuZjKc6nnuHLLZSz\njv3BYKDNzc1GnKrHQEX2imOdXfG4w5y/Pm2GEWROiHqLxwJzNTGB6KfPMx5n5PGs0ZrOsbTfvUXm\nBcYBMYVkEGa+ijEhbsH2jKk5JsMt3G11NOmfx1AyXzBunP3NxdLFDH658eFjfR6eLNR8o31kW/X4\nRZ59t9sdYw1iO/z9iHYjq7Z3s3iPWJvQ4+N9rQfom8+txARy3vb2dj0f86ycceZZzZohbzAYaGdn\np8FgwfDzGfUxt4Y5y+Rsk3vB+JoSr53LlOfxRrl3VBDjmnNZDj2j3zwYrbYYe49d5fkvLS01WCMf\n3+41wffOyvvvbYyn7xV8vWI98vdhEOd35E87WD88c+mkc2thtAoKCgoKCgoKCgoKCuaMibMObm1t\nNWJM3ArB7xsbGw1rITtcrxPlsT7Rd1jKZx+M8Ha4n6VbE3zXHC0azhrlfGrnVVeDnfMjjzwiSfq+\n7/s+Se01bbyWBlYrLNJ8j5UfK5KzH+z8Y00sZ2jcqp3LdOVWIdrAeVyHPsRrgXnVKmmzvsS2eDt2\nd3cblhbPPuNZm2CbvKYL1tSYQc6z43imIc/UCPvLNdy/HlCHJf4WY0+kpo/xrPBn1OYzHX+PbaO/\n6BZWIa9jlBunnBfrpPDptURgDGCJPLuRs93R+oflnmfLHORW0lmzOpHJ0Vlg15f47HJ+98wBsNmP\nPfbY2DWQKeP7i1/8oqSRfD70oQ/p4YcfltTMXOkMXsyqFe/h/Yjtdkbc64H5/D4t+v2+rl271rBy\nRmtr/D7W9/O4Dmew6A/MFTLHC4G+eK0uSfryl78sacRsMb9Tg5J7em0qvndLa7/fb/TR1wr3hpgW\nxGh5Nk7YOMYaMh4MBo310TMUxixznBOvDZAlY3F3d7cef7DX/P31r39dkvTss89KGq+VlOuXNG5t\nz633XlNtHjFa3JN7Mb84ExHndh9z7q3j71deV5B7oDPcY3NzsxHvyt88A67tGQS5tjNccd5+6aWX\nJI3mH18/Yu3CWWRLbUJnirxt6Ea32x2TgTRibt0bxNdhn7PavDo8Xj7Hijkb4yxa23mHeV1FJnRW\nxPpmHqvssq6qqrFGePyU99fnKn8mUS6eJdb3Fp69k+9Z13xej0w39/X4bL/mpO9ThdEqKCgoKCgo\nKCgoKCiYMyZitIjT8Gr2vvOP1kO3tvnO0Jktt8Dyve94FxYWshW9fdfsFlb3fXbGq6qqhs9sLptP\nzqI/CaIlAssPcoIhoY1bW1uNTGJYYNh9nzlzRtLIeoMV1X14vZ7T3t5eXfsCy7hbQ/z5OIPlVgS3\nGsTv3Lrsz3FaYNXKWcbob7SiYvX0+kNuOYQ1RNaMAfrk2ZUGg0GjHV6LCtkRl+d1iTyrGGMmWu5c\nlz2GZx5xb7F2j7etzX/bx6xbDD27FrEfjAG/dmTn3OfdM2R5HEfOOunjvK2dbmVk/M069lNKY1Z0\nLPOMX6+ld+LEiUb8EOc+9dRTkkZM1T333CNpNH8gL45jfKPHzz//fG2phglHhznGM3b52HaWMFoK\nfazTD5iKeXkGDAYD3bhxo5GF0q2Y0UOAdvt64mwS7ABsNnG16KvHy9122201Q+WZ2+g3snX5OKvo\nWeUiE+pjwHWkrU7UJCDuzedIzwgYx6AzP+iWM8r8zXhExlzbY9PW1tZq2SA7zvVaRTwX7u0xW23Z\nEp0xcs8Aj4eZBSklLSwsZHXT77W3t9eIG2o7RhrVOmONgcHxzHSx9hVrv2e6RH/4RI7ME7BRXJPn\nwVr59NNP1ywjz5dn6Jng1tfXZ5Ztr9drxLk5sxXfDX2N9LnI3yfpA232mproTGRIPEMncK8eZ2t8\nbEdmy8cd8PeoWePeWKc8fiw33+/s7DTegybN2s36xLtr9BByZs3nFJ//eL5cw9/x4pzKNWDrPEbL\n329vFoXRKigoKCgoKCgoKCgomDMmMslSF8v9Rdn98T07xsgMuQXFmSIsDV7LhB2k+7ouLy/Xx+b8\n+3OZC3MZXqK1yHfpOcvCrHUfsBYA9w33uJVOp9OoVo/8nTlwZoTvabNn5rpx40ZtYcKSwE7ea8rk\naiLx6fLZ2trKxhLkGMlpgVWbuADglsKoB21+xvwW+4WsXD/oJ9aV2P/D4vywPmLFgoXI1VOJ1jrX\nYWducjU/JgXZ8XJZhNy6DgMWv/OaSZ5ZDf99z0TldXGuX79eWxWxwno2N56Ds2ptDFZsQ6/Xq6/l\nY93jfeZRm2xtba2WC5Z3+kAf47yaYy/o3/PPPy9ppFN33HHH2DU/8pGPSJLOnj0raRQ7s7m5WcsA\nayTy9zmY/ufGio/9lZWVhp4AZ5dnjSVETxkrsJIe0wd2dnYa8UK5rFU8D8+Seu+99461PcZ4MZaJ\nfwMeS8g5WHK93ptnetzb22usA241doZhWjhLyNjyWm0R3ibGDmztN77xjfrasY3oWq7G4ubmZh2L\n9cQTT0gaPYd3vvOdkqT3vve9kkb1CD122etOxrjjXAxkrmbSrCD+TWpmR/OxQExn/M3nIPp6/vx5\nSaPx7Sy0M//b29uN+7nHEsfCxqKrMFscz3WI/3z66acbbFmshyqNz8+zyjZmj/OYn7aaX87QOLwu\nXS5GyWOqYybHnD4Dz9KJXHK5AmIcZFv/4znzYl+Bt8UZ0K2trbEs2W1t8+sie7w3kC3nxxh/7u/P\n1t9J4jnx2sxfjI04V3lMu2fQndaTrTBaBQUFBQUFBQUFBQUFc8ZE27JutzvGEjjLhCUUUM9IGvlT\ne/0bdo5evd6v7RbKtbW1RubBw6xO7lfpsUHRgu3MQM4CMStTII0zOG5NbavSnrPWcC7MADEE7kPt\n/Ya92tzcrI91BgcrdluMQ0RbLAF/e2yL10gB82BfYgyDW4VydbXa4HoHeB5YSRgXbk2S2uMLpZHO\nYyHE6uesmPvIRxbRGcQcZq2jJY1bxnJW9MgK5zJUekZH9DaX/Ym5g/N2dnbq3zxTX/SPj9+737az\nazznmF3NmRln7eZRm2x1dbVuK20gtoSsXjFWCquxz2Vkr/uRH/kRSSNLoNfVeuCBBySN5uoYs0H/\nOIe5x+uOOHvKecwRnk0yWv/cesw9PFZ3WmCVZN6iL1g3nd3pdDoNPXRdYXzSDxgs1zmvP9bpdOoY\nLZgcZwF9TvRaiBznc0LMztZm7Y6YVabcjzZQ582z18Y5wK3OtI1MgbAdMDD0m/g3ZMkz4PerV6/W\n8T5c27PgIWv09umnnx67V86zIaXUiMHgubgnx7wYrZRS3Ue3uOfid6R8PB5MNnMmsmGNdzY6Hs93\n7nHi87OvV8jdmf7IlrlcvY5qzPw5afxLRKfT0dGjRxvvRox7xlWsy4bOnTt3TtJovHhMD+w0Y5px\nj2wBere4uNiIM/YYO2eyfH7w8eNjPl4TuBfOvLOO+mfbGurvmO4t4OOb+Zp3VvdqiePOWXCP83VW\n2nXAPauit5Yz2bkaa5O+oxZGq6CgoKCgoKCgoKCgYM6YmNE6cuRIw4/RK2NHawuWZ7fKs/t1C96L\nL74oaWR9IsbA4zlu3LhRW2vcfz1XWyIXt+JxAtEXGvgOdh4MgTSK0cr50XoWmljPACB3LKn8jYWM\nHT+WF37nbzKRvfzyy7W1knOI5cjFF+WyMbpVKla1x5qEBQx4nNSs8Da0WYOAZ29yS5JnxaSf6K1n\ngIxjwVld9yn2rEVcw+uZeNtiZkWPQXLrvPtRT4rITkfkMmTFfrv1kn65dRXwd/R1j33Y2dmpr+Us\nutfWcL/7XMakKFO3xnkMirPt06Lb7ero0aMNdo74igcffFDSSG8uXLjQsKzRfqzKMKswB1hfPfsY\nMo7ZKl0mfOYYSIdbL2nr4uJiQ+d9zp13fSJnoj32JzJKLkv3zyc2y1l9ZOsxdsSsxJgfz77lMvY4\nD545bfB4orgGuPeFy3oejFZsC33JsTq5uSKei4xYg2izy9qZvmvXrtVjnvXuzjvvlDR6Hoxl9JDY\nLa9TBeLa7vFtzur4ejcLUkpaWlpqzEnOykfPnVztSeZKnhHsCx4qzCnOpBIr9+STT9bMDu9euaxu\n7s3BuwLPhfPQ4X6/X98Pebo3S8wYOSujtbq62qiHBPvGtdG7Xq9X65zHRdImxh7jG9nyXMiW6zU1\njx492shk6FmMPdbnZuOqYh4B4Otkrl7pNIgx1zkmPXrs0AavvQjcE4f3KHSP42G4YMCl0XhnrmRt\nAzzbr3zlK5JGMr///vsljdYEz6La9s7izLbPAzeLwmgVFBQUFBQUFBQUFBTMGRMXgonWTPf9dMvZ\n9vZ2bS1g18kx7CqxVLGTxTrgVnwstVgVlpaWGpY832nnGAy3Srl1NcYr5PxSwTx8tWPdEbeoucU3\n1vrgEwsLO3NnSmgzVi1k7exTtARR04lrg5zFxVkAZ8C63W6jDpFnLsxlfJoU+BQfZnlxJlRqWrVz\nLBvWO48hIH4A/d7Y2GhkF4QRwTIDa4tVh7GCBfagDJi52AHP9DcPBjZatRxtsXsuS9riMQi5TJvA\nM1oOBoMxP3i+i+ei+x7rkstCBaL1z62NHmcwa4a8Tqej9fX1ug08d8YnVkH6eu3atVp27j3gGVZB\nZALieZ4hLGbeBM7muoxjP+K9+Yy65/qYG+vzyDi2trbWqFOFLH3OW1hYaGS+cpbA2Xrk4boGq8ga\nFTMDuiU7F+eGPnvWMdrSluEPuNXcs83OCr+OrwFxjszFF3EM8yeyY76M63s8LjIf/k4AOwbaYkak\nEQPG+DoovtXjYz1uaV6Ic58zkh4rGdd+xpiPK8a1s3y03+cY4rlfeumlxpjx2G/eL7y+HMyWz7V8\nn1JqxITm3qdmzTq4u7urF154oREPjY7QxyeffLL+HRnhvYPs0BePqeZvr3EK+8JYPXLkyKHZqW82\nfqrNK8trKXrWaY+5mwVtzyQXbzYYDBqMlq9Lnm3SMw5zPPGVsFMrKyvZuHiu6Vlk+Zvj0W9Yzugt\n5vOy66fP5zeLwmgVFBQUFBQUFBQUFBTMGRMzWtE6mavlEDPWYeXAksBuG0srlix2ilgVsOaws8Wa\ncvvtt0saWb7iubn6Ad6+3E4ctFkfcteah/9rvI7XpXKGQhrtprFe8el+sFg82MkTfwXrwvHEbZw9\ne3asAndErhaS14/KZS7qdDqNuKFcza1ZgUUlZ31oy4bnPrn+vD1eir/bMsNJI+tWr9erLV9Y1TgX\nXUbWjBHkEi0tbYjV4V3e7vc/qyXW672Bg2p2uKXNWTfXba/v5hk3Y+xFrto956DzHvuRy7wZY4dy\nsWWePXLWuLdOp6Pl5eUGy8Z1nc3u9/uN9vt8AbiG12li3uV4rK+7u7sNtiTHMsRahlIzbrGtVllk\nzmLfgMt6WnS7XW1sbNRtRw6e0S3G8fpYQR+RlTMNyI5n4PXePMNWPAZEuXt7pNF4jjF08ZoLCwuN\neDc/JscYTwr01HXM19G4RuU8H9xDgPXG43xyFvC1tbValsyn7tni49S9aZAXOkKbYrxUbh2YNkaj\nDf1+X1euXDmUcYhyzmVT5RmwlrMuAdYgWBpk+B3f8R2ShtZ9ruVZmL2WkWcy9TmW8+M7jDPo/OZj\na9bxv7Ozo2eeeaa+rr9H0g7G9mAwqHXOn4Nfw9dWrskcG+uRcpx78fj8d1h/cxkF28Ya8Ll0HnGv\nbXkLcrWkYpt9rfRzPB6WtQadI075nnvukTTUQWT6zDPPSBoxU8Qlo/t4ZTF3eDyg16jd3d1tMFq5\nNW1SmU600ULYueB+EIVLA6M7RQS/03kmBAYEAmcw8AIVXQhcAdwdw5U1F+AaJ+rc5qwtle0sQKa+\n0WKwel8itU7AsLtPeZps3AQAwcHuCrO4uNgYCDn3S5dHznUwbtj8xdtfsOeVBGMwGOjatWvZQnZt\nL/reJv875+LDM8D9ILZBGuqtF/b0zai7sDJh035f+MDCwkJj4eUc15+DXI5uBv1+X5cvX24U+3T3\nhfjy54unu8K47rgbhQdO50otxPv72GD+YDL2RcjbPRgMGkXWgY+XWTdaKaWxjZanOPe04bjFxe94\nufHC4vSBa7rOcW3m8PgS7S9Y/qx9XPmnp6uPLxxcyzeT80qZT3rnWAog9tOLgQ8Gg0a/PIGM94dr\nshaha+5iubGxUV+LjYQbbg5LF+zzcZy7cmnK21x5ZgF66jqVW1djMoxcKRKfl9wNMzdHLi0t1XOQ\nPyc3Avp6yGbb3e6iIcjnEXf5nGfSFuZU34T7nBqTRvmGDyA3Pr2d/uKI7vIusLKyUv//8ccflzSa\nWzzVtr930E7WHE+nHRNc5JLgxOLas8o2JjVANzD4u3H65MmT9Qu6G93cgOAy9LkLvYybSU+mkHNT\nzr1v5sZwJDxcjx2zGgUIxfD35YPc1n0u8v64kRXZeXIrNrFxrnNjKs84Jw9fl9wFNm6gcy6DjknX\nqeI6WFBQUFBQUFBQUFBQMGdM7DoYi/l6+mV2q7FQGjtSrCBYtbG8uPuYJ0rwgLZowfeCtDn6+SD3\npvh3dBFyijDn3jYPF4KYZMALD8JKxVTYOWsVMnLXCXfbwarL+e7GIjXTWbq1xAvPuXWzzbp6WLFj\nMGs64n6/r6tXr2Ytr21JVHIJM9yi6W2m/54SlvM3NjYaiQv8eTjj5nQ612wrDu1punPXnhW9Xk+X\nL1+uXVNc15wZkpoWP6yZngzD3d9cXp7cJSYZ8Hvx6cG1DresxXbnUsBzjMt4WuCOmWMinNHqdru1\nDJkXsNIzhmNBeWnkJszxsKvOkvb7/YZlkGeNtZE5yK3+uQKn0bLoyS9yyVpmLa6ZUtLi4mKDUc+l\nzt7b22u4hvpcT/+4JtdwjwGYaH5fW1trjAGXEesjRXZ9nfPkB5GVz6WKdrZjVoag0+loZWWlIR/g\n1umYpMfZDS/3gqzQLQ+S9z5UVVWzg7hnU+CbazoD44w58w+yj+6kOTfhXKKYWdDv93Xt2rXGGooe\nIeeYkCqnq8jP5yhvt7PyyObs2bP13ACrQGIy5lKeHcglWvL1a2lpqcHs8GxcV+fl4u7XgdGmDzG5\nGv/3JDixkG1su4c++JxC33q9Xn2MM43AWdmcW70/x4WFhcZ85Gz5vBjtwWCg3d3dRjiJr4ttyXBy\njL3rDM/A287fsdSKlwVi3PuaxjhyT5g2127amHNh93fGSVEYrYKCgoKCgoKCgoKCgjljIkZrMBho\nc3Oz4f+aS3vc6XRqqxFgh+qpMd0C5jtbTw7R7/cbcSluxfdg4Fy8kbMV8fd5MQKHwVOOE1OCBQar\n8tLSUiPYlP5jWcW32gOrsbS4taetIKJbzDgGa48f7366LtPBYNBI++yxO85MTovBYKCdnZ2GNcmZ\nCo/Zkpr+5p5mmXM9bohrYW2J/uq5mIm2mKvYHo/ROigY1eMRcpaxaVFVlba2tuogYvyc247L3c/1\nDn392te+JmkkM5K2uMUpxvdgxXKZeP9hZXLWN9eBfr/fYD9ywfbzSvXcxqhLI0tdZFa4J7JzZgvr\nsxfZJDAY2fI9175x40Zd6BE2nQKm9Pvhhx+WpMac7nMG6wJtq6qqleWKffY4qWnhSVvcKu0MSmxT\nLvDZ1yiKZ8Ks8D3zK9ZZEnPQrnhNnheyfvHFFyWNEuQ4m9hmIT6IlY3tntVDgBjWuAbF+7k3APOv\nNNIFGAVPGOAJKphX0EXmm+eff17SUPbIHV1H/ug464l7BADWMJ+zI1Pu7x25EjGzoKqqsWfDc/SU\n8m3vLT73+Lybi9/zhDtgdXW1fq4eI+wJAny95hm5HsaYJ/cm4jf6GIuiz6tkjtRkqdA79Cwmw8m9\n43i5Ffe68jkseij4HOIeQj7v5WKY2v7291tnKdu8TKZFXGf9eu79s7Cw0FhXc0lx/J0H+Nofr+fH\nevFrl2GMFY73dnnFc7zdN1Ma6CAURqugoKCgoKCgoKCgoGDOmIjRIh2p72jZ8bvlZWVlpd5tcgzs\nghcT9J2i72idvdne3m5YqpzByVnXvZ1usYm775zlyO85C2KMFtfDYo31LjKAnvaaOIzPfvazkkaW\nPk8/6qme3ap04sSJOmWuW1g4x638NyuflFIryxXhGRdnQa/Xq6+DpdOfVcyag0zdqsWnM1qMAZ6P\nF+iLLCGyzPlS8+mWQLeCu3WLfrZd2y0z82AJd3d3a+slMSU3wxp7P7Bu//7v/74k6TOf+cxYX4i9\n8CKXMSbFxyz99/iGBx54QNKoCCXPxWUe++nXzj2/eVi14338WXpW19XV1bq9XtT03LlzY+d8+MMf\nljRK38z8kcsYdv369UbaZo/FhX1hDofhcGt1W+yGy4w+MkZ9nE0L2BSu5/EvOa+HtmNpKwwDY/25\n556TNFqT3vve90oaZXCjAPnKyko2HbcXjkW2fDKfcC2f8/3/sd1u0eZe04K4N1hQnnsunqnf79fy\n92Lj9Mvjgt1zwvWcay8vL9eMocdcMca9sKzHaHnad5jbqAu5czxmZBZ0OsOC5f6ug454zFnM3nlY\n+nyPI2Re8MLX8Xi/FnOFy8IzmXpaeM+iWFVVIzW6x1DOQ57cK8aDAx93yPHixYu1TDx7qL9zsh7x\njsR7hafSj/LIZVP1sZN7J8qt/fGdxVPleyzVrHMqjLYzf7n36nhPfyfPlXQBuRgpdG15eTkbc+bv\nOM5KuZz895htPLc3mHbNL4xWQUFBQUFBQUFBQUHBnDFxHa2YfQSrCTFBFBWLRWyxIOCDjvWJc7Be\ncy2sZdQlwpfW/SpjcbFcIVSPC8jVJmj7zPlk+8521ixZtN+z+HF9MiphNel2u41YJyxy7n+MBfar\nX/2qpPHMLW1/33rrrXrf+94nafQs2+p40WbvQxuipaatULDUtODDzE0LrFpuaQNthYxzhZaJFUCW\nbhnEugfD8+53v1vSKE5jbW2tZhJz2Y2cOcmxhW3Zvdz65uwPMoeJmhZVVWlvb6+OLUHXnBmJlmgf\nQ1hXvc5bLn7Hsw/G55mLBfT4KmIdiX1xK7czHb1er3ENt8bz/awsITX0PG7Ci+zGTH1ebNHr4jz0\n0EOSRvFUzKdtzEA8fzAY1Q/jHLe052qmxRo4sf1t5/rzQgdmjSMCg8FAN27caFzP4xzjHOTrg7NQ\nHl9E3R1k7ox5rD/kGcm8/h7WcfTTn73PDZGJcHbOx4/HgUwL4t68blhuzO3u7jYKRiM7+hUz3Eoj\n3fHsw5yH3qPX0ui5sGbCOPDcmLs9K5nXAuQ6UW9z8VE+jmZBt9vV8ePHG9lm+du9KuI65msYmT2Z\nhwAAIABJREFUbUf3YEaffvppSU0W1jOJ7u3t1XKK7ZOacaBttQfjtTyrG/KNfTws8/AsSCllvZk8\ntvfixYv1O6izF55t0GP6WNfvvfdeSaN5gHGyvr7eyALr+uT38rkox6imlBprv7+7eFbEWRDfNXJZ\ncmPssrcFuAeMyzxXmzKyqh6H7Zk2c3G/7jFFG2HA47mul7PGaBZGq6CgoKCgoKCgoKCgYM6YiNHq\ndDpaW1tr1O7xmk/R4g6T9cQTT0ga7SLdqu0ZQrCeEFvg9V+4fjzXd9Huh5yzHoC2bIOHVbaf1SLT\n7XZ19OjRRpYW2oK1JdZZod9UO8di9MEPfrA+RpKeeuqpsTZjXcHiBMsRMz7xvLgG8j8szs0tF27l\nkJrxES7DRx99VJL0+c9/vk1UE6GqqgZzl7NYxdpkbh12Kx/WLKwnMF0wJ9QeiezA2bNnJY2ssbC1\nbrl0y+ZhGQP7/X7DAuPZjfgdi+a0INsPFmZnijxmIGYHymXwIgMe/YW9xXrtFquoSx5rxTUZCx7r\nSbv53s+P4zuXBdAtzLPGvuAh4EwQcmJ8RwaNdpOVjnmS+BR0i3OI18yxpdFyzziBGXA2zDM1+jzK\nfIJcoocB9/G+Oss5a9wbjJbHknqmtDhu3PLLGOeTNmP5ZC3iGp4hNjIBzkTxfLCCe005v7fLg+vF\nmi9eGwn5u8V7WnQ6HR05cqTuv2dcdQvy5uZmrZced+g19XxuaMvc5n87Y+KeNbyP8DyQpWeN43y+\n73Q6tV46s4YOzIPJAoyLXAyJe/EcO3aswU565j/mUGQC68KY5nveK4gR3NraajCAfHqf0VnPiOnP\nw58994nnzBr70oY2jySXMc95bW2tEcuYqz3mzCnvRtF7RRr1+8qVK433XY9ry2WydQbeWZzFxcXG\nOynj02U6j3qPy8vLDa8EXw/i8THjZEQurtPXAx//vGdduXKlHt8cw3zMeOdYfmetxCvMY+Nj5ktn\nQt1LwGtx3SwKo1VQUFBQUFBQUFBQUDBnTMxoraysNHbKWPQ809Pu7m5tUfUdfM4a5pYuGALikKL/\nK5YVzxaV88d3C4vXQIq7b48fysVnzJotB2thW+YmaeRnTv83NjZqqz1WQ8+Cg2WDPnhGPCwAbt1e\nX1+v5U6tGJ4t7INna3PZee2WaBnIZR5CR774xS9KGvfpngVYI7Foen0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nRb/f1/r6etUGSMpUMeImktsPmt7/VLKxpmef1ME4RXS5e6YfaiNR5Afy/VzP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1ZhO7xHNcA+mWpJRSQ7Z5rIZnH3MLis/ryBdu0cnVJMvVFnLax8xZuRpdPvbT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\nGhp8jdFuoaFBE8J9119/faO+Gb+95CU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3oIXiFI22wzVGYHZ2tmFt8awjnIYntRh0u11t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RP0/xt8+/LiORuwYiQ0/f7odWd9fsIiRc3j7f5t2nqutgRUVFRUVFRUVFRUXF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\nUXaLKFZ3Ynboj2famgeDwSCzYrk1EqvpxYsX23YT++IxT+gj/cTq51n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Mmk0Wx52g1+vpxIkTed5D31tuuUXSUP5Aq+Xl5VpcDPFM9JF2si55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oZbRxGtPj4+PC8pv9OHP7eMXiyAkWK8IsK7ez99haNu/JdhaytcCZpIh1yql1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\n7d56ybVtxVw0PgN0XRcbGxv92GCBxgJHG3O8CP00M2LdOo3FsP/wg5g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7xHUI+A3MPXFpHjM3btahqakpHT58OGEE3ZIUZ0/L+RQTi8Zrrm08A4wH15mb\nm0viFGCtvTacs20eD5eLC4t/44xRzto7LBqNhubn57fNdhe30bMOej0iryWEDD2z16CsjdvV5cnp\nulsQQPw8cd9JqV89GUeR6ac+9amBstgOjUZDMzMzyXj1NsbWKveHd9YVWfPe9Zpr8WyxxTYXN4tO\nw+ph2XKrSy5mYX19PbG8uaWGe1KTZVLIZWmL46u2YmSlNAbAx6lbtmJrby5rqVvB/HuDrJmDfh//\nzeNyJjWfUpfQ11nWpEG1pdwqTFvcc8UtdR53NSgLYRwDE3/XdYpxS71Pt6oNqmlEu/AA8PZxTTw4\nxgGxL8TRcm9nzeN1njkity47PA4d+F4ttmjzjLkaXLkMpt7n8avHaLKHYR4aZA0eBznLPnKL48lc\nF9Fz3/PRVvfuQbZcM7aU5OIo/ZqeuZR9k8/b7L1nZ2drvWbORIbUZcMbysftsJientall16aeJW5\nzsXeEcgbXR4UZy2l63IuXj2eB3y+dUtWLqu2WyI9LnRtbS1rYaP9yJS1cKcY6qA1PT2tyy67LAnC\n8w1SffFoMci5hXkyBX/vGwmCVNvtdv2wKCuuaQwET+vNIYBrcrjxyWt9fT1JFeuLlgfxjoqpqSkd\nOHCgdlHwoFB3j4zThQN3I/DFzAOyvTBsvHj4ASoXfJ9Lje/JBQZN5J6ogUBD+nzcZBi4uuTShg9a\nQHwCINEBLiJ+gHQZeptj19ec+4JvzADtRr/RCU9XzGt8LS/Ol0spPyzYhKCXfmgaNPn6WEF2Pma8\nbZ7Qw12kQgjZYFk/tPo1XG8Hualw8KH9nviF96TeHQdxOnl3yfAFodvtJmSRH7B8Q+6FVnOuRvHh\nFdAeiBEPXPfkIGxOeY3b4vriC6wv4uPCA6B9gxUvqJ7WeRCRIfVlmHPbBPGz+aE5t3n1OYG1iT5w\nAiEOOPdEGuMWfM2B60JMuotVTGhuFzLgv2V+ZWx5EpOYyPMDlG+4vIi6b7R4zzWZ6xuNRr0mQQLy\nHdYo7ulz9iiYnp7WsWPH6rXWCZ1BhxMvXeMHUidi3IXaiYd4g5tLhuOHBU+u5S6Zg5LLMGYY5/yN\n+Ynf0P+jgnXK2+ob9niP5HtOn5O8xE/OxX/QIdHnllz/5cgc/3u8h2LPSCr7SRUmdnBQzh0aB82T\nPr4d2+2bvb/i/ZcnaPOkWu52DFw+zBP8bnV1NQmB8L0Hvxk2uVhxHSwoKCgoKCgoKCgoKJgwhrJo\nEWgIK+gGlsS/AAAgAElEQVSuQX56bTQaCbPlrKmbGN2yBTsKswd72mg0apbJLVqc8AkWhJHwIDhO\nyc5yxKyqMwoeUOdM7bBoNHrFirEUwOh4EeaYIXA5e5IL2uYp2t3Nj9e48LEXHM4F3TqL4yzqoFTl\nzihg8qbfXK/GQaPRqNuMbHNBkZ1OJ3FHwZIFg+luBLz3IH9nrjqdTvKZs9nuKuiy5XfoK65brVar\n7lN0PGc2HzcwPnYDjtuYY+QHYZC7SvzKc2K1draWxDjNZjMZl67zOcuIp+QelEKfMeeuc4wv5qRx\nGURcsnz85oqOttvtWh+ZJzygl2tgdYAx9jTHXjgyvhYy4bvolie6QfexvLrVF0vB+vp6Yinn2p44\nY6u0vqPAS10w18Tj1celu+K5mx/wMU/bYw8J93zwBEQ+1pEH/UcAurvCnj17Nusd4qUexgVj39cA\nL+JJ23bt2pXMXbyP1xopdUf1gH53yV5eXk5SZbOOuEXYmW5PwAD43alTp+oEN6SwprSDu8JPolg5\n7ti5fvJwithS4+6S/oy5gs85l63l5eVkXCNzLNiMZ/oIXYXlJykD+y7avba2lsxXzOW8kuJ+cXFx\nrGQY7KfcHd29m3wvGLd3u+LOvufxdO+x14dbENEfZEh7vBSNezW4zN/whjfULoL8LWdxHxchhE1j\nJlfOIt7r83+3BoJc8guXoa8xMzMz9f2Zf/gOOsY9B1nDpH4/szbG1k3XG09O5Ilfdopi0SooKCgo\nKCgoKCgoKJgwhqa5B1l7QJzWku86a+/MnsdgwaLAcAFOxJxOG41GnTgiLoor9f2pr7rqKkn9lJge\nkAecoZiamkrSenPC9rgJj0sbFsRoYanz2BFn4GP5u0Uqx1o5240MnR2bn5+vGXNPouD9lvPBd2tN\n7P+cS4aA9Qyf40mz2s5IOwND+6RUlugMzBvy4PvIC/111r/dbifxQbm0qF4I1i0d/J6C4XFxXWRI\nO91fftgCe45BcTZbodlsJsyXs6vA0yyjnwAZx8l3kInHY+ZSjvPeYxM8vqTVamUDdnlFJ7C8jQqe\nIxfnB9Cp1157rZ4XnZ1DDvSRF2/3+COfx6TUgshv0G1PfsE1YAaRKVYj+u3FF1+s52TanyufMCkW\nFnhpD4B85ufn6++4lc+tw7m5PqfXMfz+PqbdQ4K/E/zuVvETJ04krKunkM6VMBgWnU5Hr732WjK3\ncH/6O9Ybt/x7MgI+xzrs6z3sNHMdHgbLy8vJOHn++ecl9eOqmMOZG7F4uQcOLPmzzz5bv/Lbhx9+\nWFJ/78BeAl13y9yoaDQa9bjydXrQHoTveqkaj8HKlQYBrnerq6u1PLBcMX7pIy/5gizQC+TM53Hc\npcfD0d/ExGE5XF5e1okTJ7aU2VZgnRqUoCV+7tiTgTUSuH65hRjdRPauC3E5CI+35hV95l6Mc2SH\nxdQLGdPuQ4cO1ddyfc5Zi0YFMey+33drfbzX9zhIXul3rKS+34ot11K6Dz1y5EiSzMb7gfHMPgJZ\n+7yA1RrZ79u3LxknnpyHMTDsvr9YtAoKCgoKCgoKCgoKCiaMoaiuqqo2MXNuwaovGjFpHn/iFiKu\nB3Plmauc1QGtVqvO/OG+tZxgnemCPXH/YGeDW61W4qvpzwHGtb54RhfP5DIodaXHuuT8kD1LGmyC\np37mpL9nz55alp4Knfeeitp9i2H7ndGYmpqqWQnPqOPs+yRitDqdTpIm3Iu9xmy3p4Kn0K/H7Tnz\nzLWRoWdh7HQ6SSxgrh2eJtatbPQjny8tLSVpk51djJn7cUA8EfDx7J+32+0kvs+/Q9tht3j+mL2W\npK997Wub/h774MP88eoMbq6oaS62LY6B9MxJjB/P7DUqms2m5ufn6+fMMakwlUtLS/V443ldT3Pp\n99EhjweJ45B8zDJHw0K7Pvq8Q2ysZ256/vnn9cgjj0jqz/Me88h3x4159edy/UReMMetViuRiVvX\nPFbLrQc8iyMufO+MtPcjcCsqY474l3jOIEaDfvHsnpNKlY3llTGDPvIM8bikjR4zieyIUUGnaCPz\nFbGEzAHOMD/++OO1pYX+oT3Mj8jqbW9726Zr4jHx2GOPbXpPXNaLL75YP4unb77uuuskSe9973s3\nPfu4qKqq1h+PMfNYlMXFxSQ7o8e0+T7F49J8jokzD7u1iT2Yx6fQV1j7iK9ijaHP432Gx9HHc5rU\nz2x6/fXX69Of/vSWMtsOsUXFra88b7wGo0ee0dVTrSNz5BTHJMb3ir0tPA7ZC05zLbyzuCbzAqVE\nkBvtn5+fr9d65M6YmdT6BDwj7Xbp/6V0nKNTtBGrE2u/Z4PlmdA1xjTzt5SWXgJ4mnAPdIz2ecwh\nbTpy5EgtZ98v0V9uRdwpikWroKCgoKCgoKCgoKBgwhjKotXpdLS4uJjEMADPkhOzNZyCPXOaW7D4\nPqdQ2AKPb5mbm0uyvfA3TqrEBcD8cTqGCYDpwuLFafmKK66o/TbdyuL1Gcb11a6qSmtrawlr6vFT\ng4pAA2cyvW6Ix3k5I8GzxGyyWx3oU8/45DUneO8sT7vdrlkO95v2gssezzAsOp2Ozpw5kzDuzo7G\nsXmeQcwtBDm/da+xBBMCuzs1NZWts+HZztx/GTkMKqzJ9Xy8eBFPdN5rSgwLWEm3ODhzOChDm+uh\ns1xYOfj7448/LqnP4qE3MNAXX3xx/Zxe8yrHNLnlFbnApDInTE9PJ5kI+Rt9Tnvct39UeL074PEY\n+/btq+cl5ip+67rirCxMnOs3mJ+fT4q1Im+3aPn4ROc9wxT3Onr0aP0Z1kn63PV2UrVgPM7KY554\n/riosM95PhcznzAHoL/O9KMvcZF2t/C4jz9eFTmLJLJFX6+77rq6XXh2eOynxxeMCuJe3HPFdQ8r\n4fr6eragtse34GWCdYTvoXPIln3D4uJirVeemY339PGNN94oqV/vjnnl7rvvltTvv3gOdeuFx2ag\n6x/4wAe2EtmOEfezr0/ck/Xg+eefr9l6z9LomZNZr3Ox1a4rnU6nvh/XdEsB/YsOck3a5IXNwezs\nbD1f8erjgnbEMTijAOtLLrusZ8NrNBr1eGYcIVt0AN3zWGuujfWJ/SRot9uJjvrejHtgVWHuRS5P\nPvmkJOmmm26S1I8rmp6ezsa8s5/Fw2DYmk+Obrerc+fOJdlV3YrK+8XFxXr/wyt45pln6u9IaU4G\ndI750LMyxvO1e2R5DVruQeZWxuyjjz666ZW5+LXXXkvyHnj/5ebn7VAsWgUFBQUFBQUFBQUFBRPG\n0DFaa2tryenOa6SA06dP1yd1Tpu8x9oEG+LZwrxWh/vDVlVVszWchjmFcqLllWvDpnI6hoG84oor\nNr0/deqUrrnmGkl9dsCZc68VMyqwSuRqKw2Kg8udpp1ZcH9tr3btWXRCCDULAKPgFkW3EjkD7Wx3\nHHtBu9yC5bE89PmoWF9f1yuvvJJUn/caGmB2djZhgdEpGCV0B731GAqYTtitmMFyBjZXe4x74lvs\ncR3IB1bw2LFjtazoQ/cjpx2xb/OoaDQayTj1GCfG3JkzZxKLqftOe4wL8sFfHb9sZBtnePRYH9c7\n2smcxDimf/i+zxUxo+qWCvfZHzcGhrGPzrl+eOzLRRddVFv5kKkzgT4H+hztczXyaDabyTyJ7nuG\nM8906fFfzszv3r27bjc1djxGg99OykoInHVGD2JW1mPx3FOCsYTOuSXryiuvlJRaqOO10uNQfS52\nbwRAGzwj3eHDh+tMeLDgHuvo8/yoIEaL8efrjFtHpZT1Rg+xhqAPXOuhhx6SJN1zzz2S+sy3ZyLd\ns2dPYsHCkgDrjyWLvube7D2+/OUvS0rjj0MItX4SkwX47cmTJyX154BxQYy21JcVcuaZ0buTJ0/W\nfew1hLxuGXMmex23cHlGTSmNeUFuHufLeHfrWq4t09PT9VzBWMEyQ7viWLJc9tWdoKoqtdvtxFLm\n+5U47paMz8T0I2/6gVfGk3sF+HwRZ+f0+C+uRT8iQ149uzVj+ytf+cqmNlx66aVJ9j3AWv/Od75T\nkvSpT31qS5ltBzyEPC4fuFfN9PR0HVvGeMerjPhI5nle3RPHszoj05MnT9a/YV/H87OvwIKH7D/4\nwQ9Kku68805J6ZyCfj/99NPJfgD9RPdzOSO2Q7FoFRQUFBQUFBQUFBQUTBgjZR109j+OR5H6jMDT\nTz9dn8ixBLjfP8wQDJjH07iPJEzYoUOH6s/cN9OrSnvmHV45NXMCjk/msDRYu/Dz5Fm55rjWF7K5\n+UnZs+TweQih/r+fqt3v3y047tsKe4AVZHp6OrGscZL3LCx+L6/Tw995jbPQ8V2P54K1oD9HBbGE\n+Op7JkRn+RuNRt0mWA5qeWBdccsqegkDyqvH9ezatSupGcQ1YAadmaI/vD4PVgA+f8Mb3pDcn3Hm\nY2LcOI2qqjb5R8c+7lKfeYO5evXVV+v2eq0cz9rkMZb8jrFO/Aas6JNPPlnPI55xjWt43TCPAWIO\nwEoDqxlCSGqYABg02gUDOirQU2TpzDb3pz1zc3NJjKvHTSFrzywKC+nMXFyLhP+jO8jEM4rSXrfq\nu1WGex88eHBTDFx8LX6LXnn2z1HhcyPjw3Ws0Wgk7XU21WuAASydyJa+gZ1uNpv13+L5QNpcX5Dv\nSuk86utBnL2M+Cbmi9x6MO7YX11d1ZNPPlm3lZpHrltxH8IE+9zH+olsyTBHVkqPKUWfkdvs7Gxt\nweK7xKLccsstkvrj1DPz0QfOyMeZOz2bKZYX9insFbC4jYtms1nLDflyL8YCbTp48GAtB/dc8DWD\n+c6tjz7+6I/l5eUkWzHgGrQrZ412S1ZsraVdXu/R5R1nrBwF3W5XS0tLmyz18SuIx6pbCT2+1a3O\nvm7FMT5Sf65ZWFio1xnu4XFg9B99zfe9bqfHcR86dCiJUfJYSfasx48f31JmO0FcW9YzunoMdpw/\ngefmN4w9xrBnGvY9EjrHvqLZbNaWasYmv0G2X//61yX1YzX/6I/+SFLfWv7EE09I6ssez4BOp5PE\nZPpYcO+knaJYtAoKCgoKCgoKCgoKCiaMoUvGd7vdTdYVqX/qg/nDD/P555+vT9mcxGEBPHsH3/O6\nA+67z2n2iiuuqFklr0LPaditEB5fArviGXm63W7NeHCS5hmpGeFZbUYFPtqckD1ewK1Q/tut4Cyo\nW7Y8U9vKykp9Yuc3MCuwNB6vwW9hMD0WJI4XcxbAmSuYmEE+/8OADHmwJrBEwOOLGo1GkgWI37z1\nrW+VpMTiBfOBdQMGDQaGZ5menq6viayQres8LCMy5x6MHSwMxNDs2rWr7hfYK1hezyDnmaBGQVVV\nyZinbVh3uN8zzzxTM0ywWsjGYyedbYSJIubi+uuv3/S7J554IvGL9/o3vIet5nO3lMMYxrVHYBfd\nyoBeImPmhlHR7Xa1uLiYjR30GJJut5t4CPAenYClQ3+Jc+NanmWR/lxcXEyyaSEHdBkLCjLDchPH\nkEj9fuIeF198cT1vxhn5pL5uOJM5LjwbKnrgVqk4htIZfWfqPXMYr+gBVlbu0Wq16udE7oxT5iZk\n7teE+fWag/TN9PR0rRdc01lYnwNGxerqqp566qkkE6vXexpUk401FhnDXGPBwlp91113SdociyH1\nLUdx9kJkc9ttt21qB33tdQiZ59Hf7/3e762fK0ZsKXcrB79lnRs3Nlvqe7OgZ7kMgrR/fn6+brOv\nU8ib9cktodyDfmAO4/Xs2bP1/Mw1fO1ABz3DLmsfbWF+4F6tViupO+nWEO4Zr8WjgDwCHv/tNQLj\nuk7ICN3jO1hdGVe0ET3n2p7FObZ6eO055mlk6/dAv7yfPFvj0tJS/R2exS1cPl+Ngzjbta+9yIF1\nu6oq3XfffZLSulnsCZj/PLsgr57BFt2KM0p6nDXPzTX4DfGf3k+0jfl7fX29to57LK/HKw4r02LR\nKigoKCgoKCgoKCgomDCGjtEiVkPqMxywP87oxX6dzhJyoucUmqtozmmZk2acIZCTLAwX7AAMhWfb\ng4GFDeI9bCsMwdzcXJL5i2vH34mfZ1SQJcd9q3OsTrPZTDIGeSYdj5PifS5jShwzBNPgVcfpp1ym\nNRgI99ePMxh5u5wZ8gxJo2Jqakr79++v2+5xZ57xpt1u1/0Ig4T/r2cSc53yfoPBjq8Nk+L94ywf\nlgOYIa8V5TGHZ8+eTVh44iecpZ+ERSuEkNS18UxNMevnbDzzBPMDjJPHC5DxC8aasc+1jx8/Xo9d\ndCVnEeZeWIDwz6a2zrvf/e5N72dnZ5MYRmTJNWHhYHJHBVkHGXMeq+ZWnna7Xc9DWDc94xNtdIs0\nY8v1E51aW1tLYlk9LpP+ZLwyF7t1E3CPs2fP1u1Gxz3ejd+OG08EnIFEtrCbyGf//v3JXBfHA8Xv\nfd3zeo08I/KIMyi6d0Ecvxa312O2nNmN527PLuuxqPT5uHFva2treuGFF+p5yceFW09mZmbq/qVN\nPBfvv+/7vk9SyhDzLMy/ZKmLsxNjHcRay/xKf3g/MUegazfffLOkvucNGdLm5+fr+cGzJXMPrjWJ\n+RS41cm9eVh7z549u6memNTvW983+Ct65Nk/We/m5+fr+3BN7s979AnrCr+lD33cxBbO2Cofwy1N\ny8vLY2dzraoq8QZAxl7PbXl5uW4DOoZeuNUJfeJ5vVYc60FcpxWZMKf6+GctAVzTM/O6pevs2bP1\nfdBNrwU6qf1Up9PRa6+9lsSWxx4L0ubYXcYRrzxH7PEipbFpzBtc27NSNpvNer717NUey032Ucay\nr5W8cp2XXnqptqTTXuYf5i33LNgpikWroKCgoKCgoKCgoKBgwhg6Rmt9fT3JKgMTwGk1rkYO0w3z\nTUYQWALYsNypG/YAph7r06FDh5K4Ke7vzAPsgdeSgEXld2SYu+GGG+rTcFyRWkpP4OOCGC2P+YKd\n8BN0XMuI33jdmlwV8lxcWWzxcguks4IuSxgIWC50AznxfnV1NbEsec0EGAevxzYsGo2Gdu/enfhp\ne6xNbPXxbGwuMwDzxrM4Y+UZedrtdlIbKPZdj+/p9UpoJ4wR38dyfO7cuZr5gTni/rC0XNOtDcOi\n0Whsip3zeiDoEKx3u92uxzz1mPiNZyLj1bMl8TnsLXK55ZZbkjhRnhPrF3LxmmWwcsxLX/ziFze1\n7Y477qh12WvaeSzduHra6XT06quv1vEfHo/p1+92u7VO85y892x26IrXD+N77t8+MzOTxIHmMt5x\nDe6NheEtb3nLpmvHc4FbBZk/sOh49rRxUFVV3VZ01jPQoQ+Li4v1XEVbPPbEx7TXOWJOcEvL0aNH\n6/971kGvd8T84XNDHDsobZ6XPAsY+oL+TiqD49ramr7xjW8kmRuRsde4XFhYSOKfeXWvCtro643X\ng+N3c3NztSXFY7I8ttfj39A59gvMN/Rzq9Wq45TYp/gr8aKTiHuRNsecuPcBcxSM/OnTp2u58Op7\nALdqeB0gLFrsa3httVqb5m6p35/cy71WvO4f3/N5/vDhw/V9aZcjl0l5WLCW00av7+hxPHv27Knj\npogrQp88+7FbAXkmgM7fcMMNknpj3uvH8TfPGosFy7PKsrd+/PHHJfUzazabzWQ9iuPc4vZw71HR\nbrf17LPPJhkiPf4NuZ08eVL33nuvpDQ2mrYy13o8mddp9bF+5syZ2trNuumxcQ8++KCkNJ8A92ZN\n5Nqx/rIOEbcVZ5CV0lwEO0WxaBUUFBQUFBQUFBQUFEwYQx3Lut2uVldXk3ojMCCcoDnZPvXUU/rS\nl74kqc/KcAqGdeM0CVvCNZyhxleSuABe4795HRg/TXMSh+3w2AJ+99hjj9Un7Xe84x2S+iyY1+ga\nlA1wGBD3xv08k5P73zabzcSi5VYwj9vxLINxLRapzwTs2rWrZvTcKggzC4vjMQTuB+v1BmIrmsdq\nwSJgWYSZGRVkOPRYNmf7YkbGsyC5TONsX1KaFZJruV97/DfPzpW7hlvH0FsY2GuvvVZSjzl0P3GY\n+7j2StyuUUGGLPefZ3zS78TA/MEf/EGtS/hOv/3tb5eU+qnDuNFWmFW3joJrr722thC4BYf3ztii\nx856wyQ++uijknrxNrGPvZTGFHpM5KjodDo6d+5c3YfIw9no+H7MQ17PDJYPuJUhl801jmXybE0e\nY+dsI3MB7aSfmctiSzX/92yA9LXXARoHIYTEasp9aCttPH36dN02foPVAsbTPSF8TvDYSuSye/fu\nxPLvVjPmE7fouDXVY5fj2BKfi32tGjeeaGpqSocPH67HkmcKo0/jOCufcz0Lrdcocqs+4zQXdyal\nccNuLfG9hVsNfa267rrr6rkWKwev999/v6S03ue4CCEk/YQlCysa+5Jut1vLxa3dHpPr8mS/xSuf\nx7FDPqeix6zHzMO8ev0mj6uP6/+5BdOt5HE/j5PJeWpqSocOHUpis3ze4fXkyZP1GsA6RLuJBeIa\n1Fvy+EOv2cV12NtJ/XFP/DF9yjyMrPGqYu5BPp659+DBg8m+Fr3xPQDz0qhoNBratWtX4hXhawl6\n88QTT9Q6wd6cOdVr7rpOMQa8DhzX27VrVy1L7s8c6vH17Cfpr9gbLm53XE+Wz5AZ+1qfr9yauR2K\nRaugoKCgoKCgoKCgoGDCGMqiBavt/pSwKbznVH78+PH65MeJNq4vJKU1L7y+DX6YHmtw5MiR2hJF\nbn4//XNtz5Lk2Uo46cYZX4h5OXHixKbvcg1YPc8aMyxgX71eACd52hRbpTxDk1uqcnWygLNfsTXE\nWQqYPOJssGBwD5cp/esV4BcWFhJfdFgLgN587nOfy4lrRyA7nsvJY6Li2Buv7eSMMvBYE2de/Hcx\nuw68DoTHgPj3nJ2M/b69XhTZ6HwcjVObBMQZR93q8cADD0jq68nHP/7xOtYKXeB5yezjmeE8Vovf\nee2Tubm52qLtmfroD48lzMXr3XrrrZL6mchOnz6dyJ2+hk3k/bgxWlKvXzxuANbes/51u93kM+AZ\nNj2202Oy3BoSM/SeddAznXm2O/orrskVvzK3S2n8B/dinoCVHRcem+eWzJhJ9RpDHtvg84YzqegL\n73ne1dXVxPrp2SG9rlvOgg4Y76urq4n13TNNEqcJ0/trv/ZrA2W1HVqtli655JJ6DUY+PqfEWW7d\ncuWWOeAWaY+t83jjRqORWH69r72OmF8j5/ly2WWX1c9GvCHPzPx6/PjxTfceB+ynPC4tjsmK23/R\nRRclltncs3k2Z993gTgu1OuRuRURuXrGQ7coMm8gy7179yZZB7G6eEzmuDFazWZT+/fvT7xHmG+Q\nF3Naq9WqM2ASgwW2e063bHmm6rh2KM+FTNxyzRhln+zZR4kVimPmve4m96Dv3RNjVLRaLR09ejSx\nCvocHmeOxXKHFdDjnj1+0tcBtzqjJ/v27UvWZV836UfGgnsyxeuRtDmDNNf0WG9+gy4Mm3F46IPW\n9PR0snjQkRx4SN345je/uT4ouTIyaD1o3YvJ8sBMLPxueXk5cWvzicEnME9fnHNvuPTSS2tFYeFn\nUuY5uGdu47NTVFW1afHh/3SsuzU2Go0k5bgrnCdTyA00d4Nrt9vJtVF03BgefvhhSWnRZyYK0mRj\nvo2D9T05h7uNsMCMm7ghhKDZ2dnswdo3AWtra1k3Sz8E+ee++QLILU4e4wHUHvjuGwSuQTt9sWKh\nlvr66AUSade4qcil3rP6JgdCgknth37ohyT1Nii0kw0Dz8ECxTj1AHk+dzcP5oCzZ8/Wz8mrJ9Px\nNOG5jZFvaC+99NL6tx5AzSTLIu2bllEQj03fqPh46Xa7iduvL37ASRd3oRmUmMY3J34PdIrx6frs\nJFE8JryEA7LzIpKTSjIA6DPcgNiwkFCm2+3WZCCbalxTPHEI8PTJXBM957kPHTpU67q7xLm7HfAS\nED7fxHOJuw37nOQp9EfFzMyMLrvssnrTRD/7ZjHWNXcNc9IL+PP7wdgPoFNTU/W4RO6MT08z7kSi\n6yVzFmt8XNqB9Zdrc+gmSZZv1kaBH7SYV3g+1lAOVwcOHEjmHD9k+tj1JBhgkOumEwq+QfWkTu76\n7inV0ZPp6elsAhUSZ7CRdvJ1WHBg9EMR93di7qqrrkpKQHjCq1zSGXfv8+ReVVXV6xK/Zb8LcgSo\nl76BNImLBfMM7MG8tM6gMIZRQCIsXx98bDP/7dq1q96P8F1k4m7xTpAC31fFIQBOqLj+Me+h457A\nzo0mMVGWKyDPK3PFsDItroMFBQUFBQUFBQUFBQUTxtAWrZj58PTunPJuv/12ST2WPTb5D0KOyXRr\nhLsPnTp1Kjmpwtq4m4gzFV7Ez0/m8/PztduTW+By5shRsb6+rlOnTiUWE074MD9xOslccVJnoD11\nvhfZdYtSu91OUoPCUvhv3R0MZgq2x1Pnxmls/ZlgDYH337BoNBqamZlJLH7uQhnrXi6Vd86tz4u3\n8kzOdLZaraQdbl1wS5WzlOiCp6BvNBq1/Hk2D9x3t6ZRQUAscsFFkbZ+6EMfktTv75WVlaQ0gFsK\nPH0713KXDL9O3I985oVd3b0ZGburp6PdbieunV4APeeONixIRcy85dZxd/1oNBrJPOGMrZcl8O87\nCx3DrSie7MOLfvp43qqYuVu76ENPfjEJlyyp/3ww5egr72nrkSNHakvWTTfdJKmvp56S2C2r9Bvf\nZw5EFw8ePFi7sfjaRPvQMXerdmvMIMsXfe7W2+3mrmFBMgwvIeBre+ye6lZA2uqJO5wl91fXm9On\nT9d7AE/a4OmmmYvduuYJn+JU+vQ1MnPrLQl90I2f+ZmfyQtuBwghJGMAfcSbJw7W93AIgHxx0cIC\n5yVuPLFNbA1wy5VbcryQsSfeAG6liZNC+H6PdnLP06dPj23Vjt313TUtTmcPXKaeaMjLrniSIrfG\nxLrt87LPsS4rn5+4todm7Nq1K7G48Yysp+zdmJfGQaPRSLzN/BzAs1599dX1nOium56EhXnC9yfu\nTXGllZoAACAASURBVBDv4TzZh5dC8jIEOZd835fFLqe+BrqFGO+9naJYtAoKCgoKCgoKCgoKCiaM\noQsWS/3Tpxcovu222yT1GSaSEkj9k6kzrIBrODvqDCin81arlfgMeyC4JxHwU7P7enJCP3z4cO1L\n6xYC7gHTNW6BzW63q/PnzycWMmdTOY0vLS0l/tXOhrrMcqmdvXhop9Op+5SYMC8o57EWyJa2eAFb\nZD43N5dY4DzVMs96zTXXbC+4bRBbqWhbLo12zA7734DHtnj8DOypB9CeOXOmjg/xgNjY+sN341dv\nP4gDxz32wRljT1oyLnhO+v/OO+8ceP24AK7HQXlMFkAvPRDeLUhHjhxJrLqMCcatJwHxGAa37HhB\n8vj/OT/6YYsWDvr9wYMH677KFVeOLZi5IOLcc/q8itx8PM/PzydBzoxHnz88zXvOChwz03FsrdQf\nJ+g6c8C41he/BnrhMbZXX321pF6MBlYA0tP7OuEstFuzkaWvGQsLC4m10q+Nzrtlyy07vm5OTU0l\nFnEv6wHGTYRDEhyPnfU4KrC2tpZY9ul3t2ggM9djXyvov29+85uJtZKY8K9+9aubfoM10ZltYoFJ\n643laG1tLUmEwjW8jycRS1hVldrtdi1H4tnRH+ZUPIbiv3lCFtYS4oZ8PvbYJI+jajabyd98P8UY\npRA9fewWBLccxHOLWx1jWdCecZI3VFWltbW1ZD13a3T8bP68tMXjqbwcDvMg48LnxThxnI9N3w97\nQWf2BL63iwvnukeW6wuJqShRMCrwZPMYJ2SJHjB/xkm6PBbLraN8z/e5/J2xGq8x7gnj8a+0h7XF\nS4v4vWLLrK9xvl5xr2FT5heLVkFBQUFBQUFBQUFBwYQxFCVLnAanO07hMEJ+wu50OjUz5ayXsxbO\n6ntxNGcNXnnllfoETYYTmBf88fGj5FTtqVHdshNngfP4mFgG0vYZ/YbBoGu4/3ts1fDCi+7vz3N5\n5kL6wJly5LGyslJbtJyBdv9lrDRupeA9bCGMRLvdrllC+oFr0U7SfuOHPA5i3fOsWM7UxX/zrItu\nYXRLlmdLQtbo4JNPPlmnPuc5GS/EhCAX/y1tIpMj/RT73fNsbt31TDzjxmhVVaWVlZWkyLBbO0Cc\nndTZPGQL80YmHxhE9BgG1dnP1dXVum+xcHMNsjN5+mPuCZvlaZDj+AO30Hi807hFykGr1dKRI0eS\ncekWeTA1NZXVabdaeOwWMvVnii0IfMdf/VpuGc61JWZvGSeeuZBMa14UdVw4O83Yw2oA87+6ulq3\n32N9vB9cD3gmjyEE6+vryfrBe48vcKuZ69qg7H05Pcxl2xsV3W5XS0tLddu9nwdZov15cqmmXXb+\nO/SFtaHdbtc6QpHxe+65R5J03333bWofcSKUcGB+Ye1if0AffPCDH6z1gvmU917cdBJZB8k4zHrn\nusA6z/6m0+kkc2rOUkRf5eKHPL602+0ma4Xv3diTMeciP+YJtxTEr/SvW4FdrxuNxliF4LG+ukU/\n/ru02ULise2DsqbGbUSXWadZx9C32Grrc6nHDQI+z1lnfO3sdDpJwWJKnrD3euihhyT1M6yOg1hO\nvufw/pqbm0tirzwuit96NmTfRzHHMjdPT0/X8sbKzfhgHDE/YNFD1sjH+zWOqfN9gad1B9x7pygW\nrYKCgoKCgoKCgoKCggljaIvW/Px8koXFffNjJs1Pwe4D6RlSvBAwp1dYlNi3ld9ceeWVklLLDe2E\n7XZLkFsvYiaT+3nxUtrlhehGBUyyy8WznvD5+fPnE/bX/drdAuB+sM54wtKtrq4m2QW98CGsIEWe\nkbHHGMAukL3xTW96U8KMezYoz1Q1KmAK/Xo5C0W3281mZxsUbxK33bPiuCV03759NaMaF/ST+rpN\nf/L+sccek5TWhUHP4/Y7O+P95xkoR0VVVep2u9kYgUF1nXL13tBbGFHGpRcoZnx7HFUc/0V8DTKE\nxYJNhe3yGEjv51hXvICts5EeJzUqmE+BZzlELjHrmyue61m93NrtRVqpi4cuXXvttbW+YYUm5oXn\nxVoIiNVwptBrIi4uLibMYFwPJn5mzww6Cray4HjsYqzTsKZ8x7PUeqyn1/1D57D27t27NykQ7XNg\nLnbSi3J6f8dzVu55fZ4bFY1GQ3Nzc0nNOreax230rGqe+ZV1360HHlMIO8/cePnllyeFc9/2trdt\neuW3WK6efvppSdJTTz216XMsElginn322fqaHieF/vKbcWs9grg2HjLyQrSw/oO+C9Az9i2s265v\nvm/xwrjx/10Hgc+hjANeGQdxfKJnh/V1g2vOzMwkMcnDAIsWyGWMjfcCvn/1seZeRXj9oJPuJYEc\nOp3OpoyRUhqbxfOjgx6zhbziAutSr9/oO/ZazMNYenMeIcOCuDfgaynzApazlZWVpMi17xdcxow7\nL2jvsa2nTp2qLdjsH9hjYn3mnuyjkL3rtRdHXl1drfuLceR13nx87RTFolVQUFBQUFBQUFBQUDBh\njGTRwvKzXR2VuCK4x8W4Lya/hZk+fvz4pu856xBCqOO5Pve5z0mSnnjiCUn9OhR33XWXpD5LwAmY\na3m9lNjCwn08W5fXNRjX/53YF07Xnv0MdoSTdLfbTTI3eQyBW2GcmXIGN854wzU8lsBrEfBK/BDt\npz+55s033yypx/LybJ5py2tveT2hYUH9Cmf7dxLf4gyr11pxH15ndZHLpZdeWv+OfuBayAhmlT6G\nzYWZgslEPoNqIXk8DHpD+1wnxkHM0Lklz/Uk9o33uDaYQL4LE4UcsGQ5C4he7N27t47Z4P7E3pCB\nDPbaYwO8GrwziysrK7UM/RmBxxWMiqqqtLq6mtSv8X6O9datXG559b971iRkjP8+82232631Ddkh\nS66BXtLXWLQ8W59nzFpdXa3v4/OoW4kmYdGqqirJ2kfbiA/FejozM1PrjtfYoS0eV0C/o59YXbAW\n8qwHDx5M6sZ4tkfPGAg8A6RbWLrdbrZG3rhZBh3NZlP79+9PxrGPg3i9ycW2DvKiiK8F0FdYcvrr\nyJEj9f+9Lp9b0bA+/eEf/qEk6e677950bfqb6507dy7xrHELLH08ibgX5m/PesxairWevl9fX0/W\nZ/ZAWFnYJ6ATvsdxy3bcHz5m6BOuibcAY5i+8yxw7u0R7xk9U6VbOGZmZpL4pWHR6XSy2ft8flxf\nX0+sbS4H2oOs8ZBijUX2xGLff//99b3w/PGakFyDuYL6bOyXPA7Ka8OdO3cuyRDNd97xjndIkt7/\n/vdL6uv9F77whW0kNxhkxma8+H7T69i+/PLL9R7HPZ4YV57Nm98y3rzuIXK6//779ZnPfEZSX/7u\nIYQekm0RXWC9cpmyru3fvz+xvLlVMxf7tx2KRaugoKCgoKCgoKCgoGDCGKkQjDMazsjEGdA4bXos\nBCdVj1t5/PHHJfVP4XwPJvKGG26o7wXDcOLECUl9loBrEp8BqwNb5Rl3OHXHVhzP1sXpmfbkmMhh\n4VlyvPo29+HEPzc3l1gPnA12Bj4XPwXLwvPv2bOnvi8slmcbBM7wIS9YD+7B75977rnkfrSX56GP\nedZxMMif3S0QseVvUPaj+LfOwDqbzHuYGl7X1tZqRsx919FL2BqYGO6RYwiRW7PZ3JSFSOr3i/92\nEtaXTqdTX9ctff7ccdZHXhlDWPKYR/70T/9UUp8RjLMqxs/AtZ966il9+ctfltRnfz/wgQ9I6lvH\nYF95T9yM67PHYK6vryd97uPJWfpR0el0tLS0lI1z86xucZ0Pt9R4PTW3atNPjLF3vetdkvoM4sGD\nB+u+5R54BtAOxq/XUsvFjdHuOG6Ce3iM1jiZxrZCHDMoDbYWuK++z+keM+IZ6HgWt9qdP38+ySJG\nfzHP8uo6hWzduhBbkN3C5ONtUjFawGvL5OLNpqenEwterAvxc3pWUO7BuoKMWfdDCPW1mT/dKuqe\nAR/+8IclSdddd52kvucLltu4Vo9n2fV4aOZgPh8XVVXV8kMn0Uf6PI4NRdfYh8DiYwEAeJr43gYr\nCL93C3MM/oYnEH1C1lzmEt8LIZs4noW5w7MkumUgzvg8Crrdrtrtdq1fOc8LEM/h3HdQXTip//wu\nQyzaDz/8sKR+hsypqalarvSt1/VDDsiK+REZevbUuMai70k99h2PhHHkCeKYUN8T8x5ZHjlyJMni\nzJ6HfaHHeqNrWIqRD6/I5ZFHHqll415gjON4/pX6ewCuwavvcZvNZt1Otyiiv14HbacoFq2CgoKC\ngoKCgoKCgoIJYyiLVlVVWl5eTrIxOTgFxjEd8UlcUlJXxWOhYmZc6p8wsWI1Go36tHzLLbdsupb7\nbMMK0G5OzbAbnL7jeDLPduKZ8bz21qjodrtaXFxMWCza5rVd1tbWBsZuxM/tLKmzg+6jGrPeMP9u\nfYKRIYMT9/YsXsgYf1isiIcPH66/c80110hKq7STPYZ7joNut5tkh/PXmLnO+eLSZs/i56xXjjGL\n40WcMfesPegWTEuO5QZxLR23vtAPMGqTiNGqqioZr1zXx0V8Pz6DCcTizFj/4he/KKlv2cKPm9gf\nEFs6YVOZD2ARYbGRB7qPniJrn5di1t9lRT95jZpJWApia49bIJzFXF5eTlhXzwDlv3Wfc7fwwdQ3\nm82aKeS3zAFu6WLcwmzTXwD5oBMhhCSG0OOfcvXYJgXPRMuzxfN3bq3CaoDnBBZZ1jCeDdmi1y++\n+GJSWwjZeR0m9JPv5eIA47nLYz9dj3Kx08MihFDHvcZt8PUznl9z66LHxwK3ErJuHDlyRFJfPnEN\nvVyG2Ng6LfXXzuuvv37TNZkruNf8/Hyt0y5bn0+ZdyYBrDroilsMeL6VlZWEjcfahE4yFmk/Xj60\nG73jOnEdSLd8eHynZ3IlptM9Ldyr4vz58/W1PGbW9yLSeBYY4l49o7HHUsc663OQr+08X5xNUOqP\nd67JHimuscm6xNqHDG+//fZNz+37DuTl83tsWUXOHndMbBK6MYk9alxD0zM4+vo4OzubZPjOeV/x\nvMgWeaEfrEnsO3fv3l3HoCF/rLle24o1jn7x7IPoL33z3HPPZWtoesZkrrVTFItWQUFBQUFBQUFB\nQUHBhDG0RQsf2Bi5au9ra2tJDR1YmjjbldQ/wXIKfe973zvwmrAkUt9HE4aFU7THy3hNLlgdmCxO\nuHF1eo/BoX1e92USrHZckdplSdtj31Bnvp39zLEinvnH6zPt2rWrlgn+7+5j68wKMvUTPm3C8nDs\n2LHaJx6LomcxG5d5ASGETddyBtYtRbHVKVcN3mNfgGf9c70IISSsnde/QW893iuX3Sd+HmeXvO7a\npCxajUZDu3btSixauXiQTqdTM7Re4wXAHmPhZDzz6nVaYANvvvnm+j4wYMwbZHv0mJiYFZZS1jRm\nON1q6RnTeD9udixJm7KOue64LnY6naQffc7zDJuDYtDiz+NrIzPGLPdivMLswgS6hdX1OLZy81vP\nApaLMRsXPsaYR91avry8XFtYYUaRHc/94IMPSurHYHBtmFL0F7mwvqytrdVsKfMlv6E99IvXM/L6\nOXFWNp7L+9izuU4igyNoNBrJOuM6x/3i+7oOe+ygx3fzvHwP61NsqXWLI9dCNl4jCjCvcG3+jhwP\nHjy4KRtl3B5kyvtJAOsLY8BjS7gnz7u0tFTvm2Dv8Rxx6yrrOPO1e1w4Qx/HprqHDHMquoslwdc1\n2u3W9vPnzyd19Fz/vTbXOECu8bP4WhrH4eYyt9Imz27H3ohspe7FEo9DLIrsk5CVxwLl5m3k5fGR\nsWXXPR/4Le0cFH83DMg6mNvrutWq3W5vskDH8GugF+wNuRbjnrbz3Lfcckuth8iEvA7UzWLfwZ6A\nfQZtYn3zWPCXXnopOTO4TNGFYS3axaJVUFBQUFBQUFBQUFAwYQxl0SImxOMAPI4lZoqcBfP4LlhA\nTpBYp/wk6Wxdp9OpM5jADrhlimvSPk60sAxuZQNxPant/NzHZWCwFLg/OawKn8O27N27N/F3debL\nfaUBJ3iv9XTTTTfV7/Hrxc8XRoxaJO5jjWz9PbKO2SFisNzX2TMPDZvRZRCIK+D/cdvcl39QfI7H\njHjWL/RiOwvnrl27atl45s1ce7xOHfdw9iuuo7WVZSm+x6hotVq65JJLapafNnlsUMz4ut85+smY\nhxm94447JPVZWK4NM8r4RKcOHjxYyxurKN/1OcHbwO9y8XutVqvW8RyD59kQRwUeAh5X58xybFFz\nC5VnSPSYHp9vc3obg+f3bE0eX4WFEnadudutZ8vLy0m2Trcy045J1YDyMUXbQBwjDDsJq8rzYi1l\nTqTNsZVe6jP9nn1t7969CROKRcLXKJcD8vJ6QLEliL+5hcfjnSYRoxXXxnIrlc89Mdza5HrgYww5\nef2nONupz7VuHXNrtVtRPX6H51paWkrqZLolwa81Dpi/vbaVr+NxrBTyYeyhT265cV3wzHC+jsU6\nwv4AvcZyw3v2EW7Zd6+BWHbM7T5PeQxjq9UaK06zqqqBFlWf50Ec844e+H6K96wxWEhYY3Lr9Nzc\nXG1VcUu6z7u+P/a4Sx83cVZfwPpILCLXGrV+FiDbsMuJV99fdTqdur1et8ytf+zFecW7yjNRx/O3\nZxelP6699lpJ6R41F5vP86B7Z86cqed84sNzmVyHHf/FolVQUFBQUFBQUFBQUDBhjBSjBZw5GpQt\nxuv8cJKHHYDd5hQKvM4Kf499i2EDvWI134UtydVIwm/W6zn5qTv+jb8O+u4waDabOnDgQOJP79bC\nmO12f+Yc+wH75QwUfQKD9sgjj9T38vgLZ7OJOUD2sCjOuNKGr371q/W1YQlgygHt4RrETIyDmBVz\nxmUrBtYtILnsM7nYKGeZFhcXa5nFWdikNFuPx6jlapfB1MQxWt4eb++4wE/b2+ZZQWO22DPkMS6J\nleBznzdcv7FS8dytViuJv/D4N4+nciuL13qKawC5xdh1IBdDNSzI5OaWAh/7MQvrOuHyBx6D4XEf\nnmGr3W4nusR9mT+YL7AAMfZhq72eUmypc8uq6763e1y4RQvd8/ns1KlTtUzQXb7DPITewariCeDZ\n13x9iWPYYF99/uCebl338exW/m63W1+Ta7hlIVcDcVh0u12trq4mcRdeKyseJ2418ufxeRbQL6zd\nzJ3ob7vdTqwi9BeZ9/guFhhv91YeODDr3B+4LCcRT1xVldbW1upnZly5dTf+O5ZYj8nyZ/Xadi5/\n7hHHH/Fd5lsstrwiE9dzz4pLW7hXHN/jlhzfu3jGv1Hh+uVtjufw3NzpbfR1yMeb91tVVUm2Q99X\neH05b4uvq3Hbchk8vU7puHGFZMamDbm5O66zhcw8y6vXgaPWF4hjUKU0xjrWU9cV5mO3ZOU8vnxs\nHDhwoPa2YiyybnjNQI9P3g7FolVQUFBQUFBQUFBQUDBhDG2Oia0AOZYgjj3xjC68uuXELV85i0Ls\nF+rWJPcH9Wvwd5gJTrowWs6Gx9fgWf2EPS4D22q1dOTIkaQyeI6pXltbS2J7HLBUtJnnBbAJngns\n5Zdfrv2x+a1ndsRCBbsNY+FMmjMxMzMz9TXxqQW5OkLjoKqqhGnNZemJ61Hlal55fIoz0sgQ2WMt\nfeGFF2pm3H2LPTuTx8Z4fSLPTDk1NZWMGx8/bskZFbBaziLl6pTs2rUrYTx5Hl6RGdfEUgA8e1o8\nv3hdIo/bcObULVweBxUzaD6+PE5y0nqa8x0fNLfkrLK5jKOeNQ342Gi32/W1PcYChpCYBHSb+BBe\naQPxNYPmUcaVx2VOIoNjjFzsD/NsnMWWucwtHIA4gauuukpSP2bFPSo8Y2D8/HFtSSkfJ+r66zoY\nzzvbZZKcFKqq0srKShJfxjOBmNHPZTz0uChfJ+LsulJac+/8+fO15YosY2SDhI3eqgZl/J6YYeJo\n2u12/TfmYJ8vcvUSx4HXtvI1BlmcO3eu1lU+4xnpC48TdPYfXXHLWFVVSd8wd2B18NgczxjqXhTc\ne9++ffU+AR1yi0U8r407r05NTSXX8PkezMzMJPsC1023YrgFOedNsry8nIxjH9/8xucBt7o4ut1u\nktF7UCbZ+FqjotPp6Ny5c8n+I5fNOY4l9nwByBY98AzUvq/ydS3OvOv6CnJri8dquXU3jqdnvXBL\npM8PO0WxaBUUFBQUFBQUFBQUFEwYQ9MyjUYjqfeT84ONM7+5D66zgM4S5Hyh4xoPORYgVwsJ8Lvt\nMsHEv/UMK34aHhVTU1M6cOBAUmPI2xTHAjmL7TXGkIM/nzNOg9gWmAZO7rDTnj3Ka5HRBs/2BpaW\nlmpmjPuhA7QLRnISWQdjZiwXBxIzI9tlpvG4B7cG0nYsfl/5ylck9RkbKbUi5JgYrL1k4MGaiLzi\nGBDGk1uM/XnG1dNGo6GFhYW6vz0DkfuYhxCSz2Bdc9aGL37xi5L6skQH3Wp1+vTp+juAuhu33HKL\npH4/uS+1Z2pzi1YIoe4Hr7nlY38SFq1YT3NZMgf5/OdiGtwq41mseE9WUWJg1tfXk8yRzui6RY8+\nwP8enaCf4zndPRK4to+jScVoAe6LZcRZ6TNnztT6h74xb/Lea6owprEuIB9/XVpaSizJbnHw5/XP\nfZ2JmXn3aHDdyMUyDItOp6OzZ88m4zhnFW632wmL7jGUsacD94jbjKWFdZHXxx9/XJ/97GclSU8+\n+aSkvBeIxym5peXrX/+6pH4dtIsvvrhuD+MC3fZY3EnVe8NTQEqtz27RirMO0qfoqlsZabdnsPXY\n9zjLJf93a4PvE4CvZ+6hgczm5ubqdvp48JicccGe0/c4jtji5zF/rpNuuWUucV1Gbk8//bSknn7l\n4oEAaz3eHJ4p28d97BmQq505yLI2DrBoe/055JCrtSqlFi2ei7XDvV08y+egrJG+F3cPIbeS52Lf\nPRa70+kk2VEdnktipxg6vXvsrpRz0Ys/9wnWTaG+wLo51guEDbqOF7/EVQ4XD5Q5TjcspRvw+Dnd\nLJ4rYjpuMbhGo7HpQOSbmUGpet1k7JsVD7T0gnu+6eH1lVdeSdLY+saA7/K5B44DP0g3m836/3zX\nJ3AvEDgufBPjpu54g+ub50HFYqVUhyhy+uUvf1mS9MADD0jqF5JcXFzMJk5xmTKI2VS4C9dll10m\naXMCA3dtcdeyrRJ/DINms6l9+/bVz+sLyCByww+tPCc6w2H0N3/zNyVJ99xzj6T+JssLa8cHASZ7\n7o/7z3ve8x5J0vve9z5J/U1Uzh3Q+4QA9fgZfQM3KbdhwH38cDwoRX9urvXkF64PbAJws6IIL2Nx\neno6m/IdfSMo3udTrkFbcDeOdcNd5XwT4AfDSYH7sHFmrkU+586dq5/XU03TD7hKkijBC5rmDkNS\nfy2CsOK3bCx8vgdcg7Hi34uD+F0H/PNxCQFPQ55Lex0f6HLruW9qfd6IA+ql/mb/7rvvltRLVU0/\n+ObNX4Fv1nLEQbfbrV2CnHD0a0/STTO3GfUxsri4mJCUvPJMnrACYgz9Z5x5+MDq6mrW3c73CWyS\n/TDgCbFIinHo0KGE6IkTOg2656ggcUuOcAQxKeF7St9scy3GohdffvbZZyVJx48fl9QvE7G0tJQt\nPcAr8wBuybfddpukvux8LYjnfydjfG1gXqavx8HU1NTApDfx/UEcJuLzua9TrCVc2xN4eGKL9fX1\n5Nq+j+QePD+v7CtpP/eOx7jPnb6/YpwNu+8vroMFBQUFBQUFBQUFBQUTxkiug8AD1fx1amoqMXly\ncoUVcEsCrAGsCcUivchtbPL1FM0wqrheUcCNoGZPfuHtjouIDrLSSX3WY1y2sNVq6aKLLqqZDbc+\nDSqI60xcXMwxlgPPACMLs8HnWFD4fH19PWHXaRfMLNYFN/V7QC+I2Qf+zzN6kOKki5Zu55YzqPhc\nLtDXEwUgU1wFH3roIUn9FMNxyltPL+rMt7uAevp9TPK4EMZM1nYM4KSsLo1GQ7OzszX746Z1Zwxj\nBtz1EYaJQoqUF8Bq7ayru5s1Go26H9wtiH7h2li6PAEOzzHIouDMPfD+GRfNZlMLCwtJkLEzxT4H\nxd/NJUtALow13Fk+9alPSZIeffTRTd9rNpuJO6LrJf1BYUjXBZ6DfoRdb7VaibXag54HJSKaBLgu\nOsd8FrsHuQ4w7ny+wBrGNXBXxQ3T14Rms1lbAT0hQ658R87FztFsNpN50pNx5IpYDwssqW5tcjea\n2MXVrV6e3j43B/O8WPXvu+8+SX29PX/+fGK98TXSdcitu8DZ8+Xl5WQ8xTKIn2eSyVt8PnFLQfx8\n9KVb2pgPsVwxBtk3+Vzq1ondu3fX92OfhH6zn+KeeG9wD8aLu9pRzmV2drb+rlsG3A1sEhat5eXl\nxGqZK0fSaDRq3XTrCfCyAMwljPs/+ZM/kdTfC/Csg+YWgO7SL/Qxlu9ciaIYHgqC3Gk/rrHjWrQY\n/8jHXfR8XDWbzWyYhOu6Jwly90f0mj3Biy++WM8NcWFoKe2/2GtB6nsZMSawaF1++eWSeknaeLZc\nUfNBa/FOUCxaBQUFBQUFBQUFBQUFE8bQFq04Rij3Gvtfu0+qB2XGqUul/ikctgAfbVin2I+Wk7T7\nXnLChWmBgbj99tslpVaZmNXlOm5tcKvLpIqWNptN7dmzp2Y+YeRzPuFxQHzsXx23Efgp3OG+tp1O\np7aeeKE5ZzFyqT3dGkFbFxYW6mvT9+7TPSmLQbfbVbvdTlLxO7u1VTp/Z149HS5txcp05513Surr\naTwm+Aw9hJFxP3lnWLEOupWQfu10OolF2F+dGRoHIYSazSeGwa3CsSXYrU2MU4/rQ/dhTk+ePCmp\nbx10FnZhYaG+JnFrd9xxh6S+vsIu3nvvvZKkt7/97ZL6LBaydh1ZW1vLWiDd2jBuynwSb7hFeiv9\nBM7Se8p52sp4ZF5FtoxvWOv19fVswgqPFUQ+9JfHcCBb5tnp6emaNabPneH9s4h9ia/rBdcZDEHA\nSAAAIABJREFUtzMzM7Ve+ZrEfEXq4RtuuEFSP+7P4y88CdH+/fvrWAuPfQWuY9sVLY/nJV+DYHRd\nt8eVKfMp66rHDvl9pqen6++6Jcjj2nyuZ44gtoh+etvb3lZ/zpin35gnWDt9/HIt2uvWtjiYn77j\n2rnCxJNI2CT1nt8LwLoe0s+xRwHty60VbsVgXmSu9eKue/bsqXUQqwpzpe/ZPOEV3gLoJnFuvJ47\ndy7ZG7qcPbHaqKiqSu12O4n7znm3TE1NJfumXNp0+gPLCMmbTpw4IWmzJYvreNyUJ85wHWTPiqw9\n0UO8D82tE9yDdo67Tkk9OXkspsstThznljzfL6JDbpFFn5kHkBNjfHV1tV53sJjitcJ64/tdnp95\nm/0Xli1i6s6ePVt7wcVrl9Q/U3h5gp2iWLQKCgoKCgoKCgoKCgomjKEtWs1mc2AGFCmfgUxKGUtO\nsLAAMK4w0TCP/I4it5xe5+fnEz9c2BxOv7CnFDaEHSDDCxl7YFdi61XOb9pjIMa1aJHhEL/oxx9/\nXFLKSMWZBJ1ZBrQpl0KYz/37sYXMfYOdQXPrn7/nWrCI9MnKykqSgcbTk07KSsi1nWl1xh4MYnz9\nN259gxGk39785jcP/F2c0dCtYlgbeMV6S7wXrEouCxLPKfVl6Ol7J5nidXV1NUnn7tbUmOXy9Kmw\nQc7a0U/vf//7Nz0v45bvI/Njx47VLCosFYAJY54gyx5j/C1veYukPqPmfb+8vJzEELrFPpbJOJia\nmtLBgwfrOdBLXLisY1Y2l/HJ9cBTR5OJFZkj6/X19aRwNs9L+7gWv4FZdPZvUCYxZ3Qd26VjHhbe\nN8iLZ8EyC2sv9ecsfosHxK233rqpjZSpYH3hGswFXjBTymeJdGtmLgufxy7E340t3NLgAt/joKoq\nLS8vJ+sK1+V5Y711a4DHPnn8EWPOY4nIHvqhD31IUm9t90zFXAsGn3kG4B3DXMD3vGju/v37k/To\nPp97IeVxEVu0fIwwZvn7/Px8Yj3mO2RiRIcZg1iwmCcZ/8x/saUJuWEZJJue70WQO/Mxc7HHOsWW\nIcYIc4tbg+O9zDj6StZY7s39fI8a7318/+H3R7+YO/AKYK/mluzYuyC3j/RYP/YAHqccx7lKm/dK\nucK9XiJhXIs2ljkv7+DrYjxWfI7gld9iNUXnkAPjivMA8wLp7y+//PLEk4J78bxe7oF9PvrJvbkO\nY+Hll19O1gfPRDmqLItFq6CgoKCgoKCgoKCgYMIYuo5Wq9VKWMdcPS0pH8MDE4P1CZYAdunGG2+U\n1M8IAkMd39OzjXDC5VQM8xgXkIvbiY8n7ArXi2uFOavtVqRxfYqpTeYxUYNqfIBBmXMGtSVXT8Vj\n02J/dLdQOSPpFhIv6ur3gAmIM1Dm6rDkCvkOC2ppeK0WZ9pjBtitaXG7pbTQKX93hhp2i9eYzeca\nubga9Ba99KJ9zly3Wq0kjsYz5g1iDEcBMnUWyYuEx8yb96v3P+P2uuuuk9S3WhM3xBzgLNPs7GwS\nV4MF3OMyGVew2p6R1K3iy8vLSaYj14VJ1SaTNlsA3Uo1iGnN1VtycA2eH6vMm970Jkl9maIX8/Pz\ndTyRF2xGplgCuCbspDOpfB7XRvF6WfS91wKcdB0tB/fBT//AgQM1I+9zF32DZRWZwYiyJrFu+Njo\ndDrJNfmuj1OYWz53BtWtVXEWMJehx/yMK1MyudHvfj3a7tYDKe1vB8/v38Na4uz1vn37EosWY5hi\n5cwF/B2rGP1IvT5kyh7jwIED9fob17aU+mMBvfG42VFAIVjPlugWFWSyd+/eJLMwMvd4bS+2jf5h\n8fJsd51OJ6mbxbWJifP9Vm7+8xjWVqtVt4O5wfcPcUz8OHsqt2j5GutrUKfTSbLUudeSW12vvvpq\nSf0xijURcO3FxcUkLtD3Vb5OEdeWq+EYew65nqC7WIkmUT8rhmfiRj6DYto8Hh7wG57XM4Azrvje\nTTfdJKnvLdBoNJJ421zNQZ8XfZyhz1i05ufnkznUrcy+r9opikWroKCgoKCgoKCgoKBgwhjaojU1\nNZVYWfw1znzlfpycDD0OgtossNqDWFGpf2qNrWqcMrEYwFDCPHJtGFmYSU7EHpcUWz48y6Azkfxm\nHIQQ6ueFJcX65lnE4va5FcmtS/59r3vm/qchhKQmCUBGMGJPPvmkpH6fI3NnU2N/XtgLz5jkbNO4\ndV+o4+K1ljwmjWddWlpKWCxnYJFRrh5ELqtRXE/KGTPvW66NRQe4VdEZd6kvS+7lLM4kMjmePXt2\nk67Er4PGiTPOfIdsP54Nkpo5bqH268RskteGA1hnYMSwahMHh176vdrtdmIdBM4ujmvRWl1d1RNP\nPFGzmswlbj2N2bVc/ELOooqO4OPOs/EMyDRm6Bnr3J/3OUsXbDXWB7f8raysJPUBt2OcJ4WcvOIM\nmMxdsKy0DSso1hVekQfrCDqIfOK4Co9lBS4HZ4fdguVWzmazmcTwuAXZdWBUkMmN53V2HVnG2WN9\nbKAzbvXyMYYOMQbcaldVVXJ/Z7C5h2e3xVOAeCH0l35rNptJH/p+hT3DJGK08BDyTJQ+z8Vrqa/5\nzHMw/rSP7zHPuccMYxZ0u91k7c7FKXtmXV8T3WOj2WzW92ddcgs3vxnXmwWLlu+J3OMirjnl87ln\nQfZYYuLc7rrrrk33dk+dc+fOJVYUH98eo4Q83NLnMu10Osk+nL3ZAw88UN9/Uggh1M/leyUQy9oz\nALpueDZr9IHPsewx/vn76dOnE/3jN+ydPf7QMxfmak7OzMzU48nnJ88EOqyHULFoFRQUFBQUFBQU\nFBQUTBhDZx2MGcJc7ZNB/pm5mB8yAHKC5XO3ePnpfZD1he/AaMGixD6YUp+N4qTrbGHMqvpnzsDl\nfM+HBUwLzJSzS9x/ZmYm8TOmTTwX7DTyh4mFJeQE71arZrOZZLrzOAwyEXFtrC8wZLSB38cZqWgX\n3/UYpFys2bCA1UJ2uTpjoN1u1zJEd1zGnu0p57PrzFkcV+NxKM7Mejvd6oCuxZmbPMbBYz0mFfOy\ntLSkBx98sI6ncvYurqEj9Z6fz7w2Dm3F9x9rC1bc+++/X1Jf1xing5g0HzfXX3+9pL7eMQe4RQer\nmtcGaTQaSd+6VcQzqI2Kc+fO6dOf/nQ9P8HmIy/vdyy1Umqd9Vggn5eQufdX7Dng2SE9EyB/xxJA\nvArfwxvBGeH19fV67HN/j9Vw/f2zRuwhQfudZaU/kCXWAmIy0D2Pg4l1Kcf6e9/6GupW7lwtNym/\nNk3SStDtdus+9DHjGR3jek+endQz4LpV362nPvbi2BSP62B+4dXne5+baT/9OTc3V49F/uYxfcwb\nk8iOScZht3q4ZTJ+9ThfvutZNHPWGHTc17m1tbW6HTyrz7tuYUe+9CVtc7kPinn3zIpeC25UMEd6\n/TyPK4rb6J40ubWfOQtZ+/c8c+bKykr22rTHLaeMYbcW+V47jv2mj7/0pS9J6mct5jd+rWHB+Her\nDjoFYl3yzKu+f0ce6Cv7Rvcw4RnjWGKvbcWr14bzLNO5ORbEdc9yfcs6NaznRbFoFRQUFBQUFBQU\nFBQUTBhDHXWppeP+ps7Qx4yvs5t8x3PYO4Pk2e3cNxK/8fh+XmfIK1h7dijg92o0Gslp11lDr+I+\nDmI/YbcQwaLG94VZcZYAH1XYBLcgYDUkds3Z706nk8SpcQ+YPGR0xRVXSOqzCB4f5qzc+vp6wgLw\nG6/VNS7QDa7n/rTOFsdsvluTcvEA/rkjjmH6/9s7lx6pqu6Nr6ruqmpo0A4kRBQ1SAJeCAoqaIwm\nXgYOHJk48Dvot3Fq/AgmGCeaOPAS45UoiiiIEowx2JCmSUtXVVf1f9B5dq367bPprq7j+77/ZD2T\nSnfVOWff9z7Psy5URkp5Oko+XPQn8myw2Fyfr8w/v47IeGYb/X7u3LmkQqmsGltV7CtzOZER19yX\n6qR7U6nVdd4vQn0nFpWsq8oldlZzn+1RxRSKkWR0RKEqEuh2sLKyYl999VWKYqWIgGoXsr8+hyHL\nT789KilkEjWfvZ8iGWrdW20pH1dGH+TazfHsFa2Sv2LdvlmbwUeqUpnU7hw7tABgBEF9r7XTzwFG\nZOTeqe9LTH4pt+BwOMxYctatruiY8s3m3KKyq/Ls2rUr2wfoe0KFjup9yQe22WxmTH7JIoVnBv1O\ne5jWE5Vt3759mSqj76R6+d9Oi8FgYEtLS8V8R953zGyjzaj48czFcUZli2Na8JYX9MXyZy6zUR/R\nj74UIc9Hqi5FVvVnkGnzaPmzBvNHMprn2tpats6z7ajg0v9LaofGk/KQLS4upu+oLutZakONO/od\nlXLk9fv91M563tmzZ81spERyLEyDtbW1zF+R52t/xtdvVUb1AyP4lvxLBarQc3Nz2f+qznP+WqrA\nPI/5fZYKMPcn7slbRShagUAgEAgEAoFAIFAzJpIQZKdJHyz6DdAe1/+GUYdog07GjzaTZBv8PciE\nM8odI8fpTZcMzmAwKDKRZIantdVuNBpjqojUJkVIUpQ0Pafb7WbKBm1mmd9FjJkULkHtoXZaXl7O\nomSRIVf+IUXq8n4YvkyCbzeyA1Qvp/V58c/09tGMlMdcWDMzMxmzynFI5rCU54bj1kfgKim/peid\nZAbJYN+6dSuxaFQvyfrSZnpSdLtd+/nnn5PqojFG5sorS4zYIyaMbat5J9VD95LflS+D2cb8Jdtb\niiJY5Tfjwbbt9XrpNz4ylS83GfLtotvt2sWLF9N9pGxpDSAj723iOe6orFI91bWat6qjGO6VlZU0\nlph3T/0mHxy1ixRIKUFcRz2brv+VculR6aobnJfCyspKqhdZZKl+ZN+pusg6g8z3/Px8Me8cLTy8\nT6f/nkqlV482iyZb5c+1XTQajUw1pkopK4xut5vlo6FaQ/+JkqUAWedGo5H527BcpbVcoM+hV+g0\nBvRcWZTIX1TXKmfXe++9V9leW8Hc3JwdPXo0taOeoehogj+DaI6x3Vh3ntH0DNWVeZqGw2F2fqLP\nH/22tdbSmkFl8+oF1yP6IlEt2i6Gw6GtrKxk99MnfcfNch//UrRbjg2eZ7hOmOX9U/IT0vc82+nZ\ntKgaDAbpeVqndAbgGjItlLNP6yQtU6rOJ6wn1wzuyxxrPGf7fZ17P+e71h7Of+Yw5N7Y7XYzn1H6\nEtKKbqsIRSsQCAQCgUAgEAgEasbEPlo+gzjtx6lK9fv9jJ0n06JrmLuGdsFkvNrtdqYICLRNp68H\n34j55ru6upqez+hHZMTriD7k7e11fzFmyuWisntWSyDroTLLJ0vKnepE23bPIqpNxVqRvWLEHdkD\nC4wu6ZlqRkpTuekDMS2rraiDHHu0Vxe83b+gcrNtyVCTxWPZPUtK5ZXRCMnmqS05Xj0TqwhwYrVK\n0eY0BraL1dVVu3DhQopo9PLLL4+Vmayet/nnOFN9pASQYRLzJMVEfot+LaB9NvPGKJqR2l7PYj4X\nqb1eaWDfUiUs9dekUL4Rze1ffvnFzEb+j/Qp9XOIrDzLXIpGqHtSKWm1Wmkuq756Bi0CNMaUc4Rr\nOf1xbt68mRhBPl+/1ee/hVLkyF6vl+aOlETVz6ucZqN2YL5GtYP+lsLX6XQyBr8URZeKMPuNPjXe\nEoI+CSVVYxr4fZ8qufrWs/JSvEt+L/TV4rjgePZ7A9dFRm6j73gpKnJV1F3mA9TYkMqk/eDEiROl\nptoy9u3bZ2+++WZag95//30zM3v33XfNbHzPN9uoL1UTnl2q8q15MI+VPxPQd4XKFC2BdBZQ32nt\n9VFxVaZSHlL6ea2urk7to9XtdrOxzwh8Xjkq+VBTdWH+UkbSVPv48ciIwrSI4ZmIOT+phHtffSlY\nf/zxh5nlUXnrmPd61q5duzK/Xq4D3lqt9GyqTaXclFTl9bfGi1keFZKWJyWfd1qD0BLB35vXbjeK\ncyhagUAgEAgEAoFAIFAzJg7z5qO0kH2ir5ZZ/vZYYl75dkk2kVGa/Bszox7xLVioypPlf+dZYrJi\n9CsRqIRsB1V252K1n3vuOTMbRT3y0V9KdqJqDyoHZJwZ6anZbBbZaykBjLhTyh/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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_clusters(labels, limit=10)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Latent Dirichlet Allocation\n", + "\n", + "LDA е алгоритъм, който търси общи теми в корпуси от документи.\n", + "\n", + "Ще пробваме да го приложим върху dataset от IMDB ревюта." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Dataset-а може да бъде изтеглен от тук:\n", + "\n", + "http://ai.stanford.edu/~amaas/data/sentiment/" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ето така може да го заредим:\n", + "\n", + "```python\n", + "from sklearn.datasets import load_files\n", + "reviews_train = load_files(\"/path/to/aclImdb/train/\")\n", + "text_train, y_train = reviews_train.data, reviews_train.target\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ето така може да го прекараме през `LDA`:\n", + "\n", + "```python\n", + "from sklearn.decomposition import LatentDirichletAllocation\n", + "from sklearn.feature_extraction.text import CountVectorizer\n", + "\n", + "vectorizer = CountVectorizer(max_df=.15, max_features=10000)\n", + "X = vectorizer.fit_transform(text_train)\n", + "\n", + "lda = LatentDirichletAllocation(n_components=10, learning_method=\"batch\", max_iter=15, random_state=0)\n", + "topics = lda.fit_transform(X)\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "И ето още малко код, който ще визуализира най-популярните думи от темите:\n", + "\n", + "```python\n", + "sorting = np.argsort(lda.components_, axis=1)[:, ::-1]\n", + "feature_names = np.array(vect.get_feature_names())\n", + "mglearn.tools.print_topics(topics=range(10), feature_names=feature_names, sorting=sorting, topics_per_chunk=5, n_words=10)\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ето го и резултата:\n", + "\n", + "```\n", + "topic 0 topic 1 topic 2 topic 3 topic 4 \n", + "-------- -------- -------- -------- -------- \n", + "action guy war show didn \n", + "game re world series thought \n", + "effects around american tv actors \n", + "special nothing us episode nothing \n", + "fight sex our years am \n", + "fi looks documentary old 10 \n", + "sci pretty history now worst \n", + "10 look real kids going \n", + "star worst black dvd got \n", + "alien stupid america shows actually \n", + "\n", + "\n", + "topic 5 topic 6 topic 7 topic 8 topic 9 \n", + "-------- -------- -------- -------- -------- \n", + "director horror funny father role \n", + "work gore comedy wife cast \n", + "between killer girl woman john \n", + "us original doesn young performance \n", + "real dead humor family actor \n", + "may blood school mother plays \n", + "without scary fun son played \n", + "both quite guy police star \n", + "audience budget laugh gets screen \n", + "yet genre jokes home james \n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "Тема 2 изглежда като ревюта по документални/исторически филми. Тема 4 изглежда като негативни ревюта. Тема 7 вероятно е комедии. Може да интерпретираме темите по много начини." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Въпроси" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "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": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lectures/12-libraries.ipynb b/lectures/12-libraries.ipynb new file mode 100644 index 0000000..d6479f7 --- /dev/null +++ b/lectures/12-libraries.ipynb @@ -0,0 +1,10198 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# NumPy, SciPy, Pandas, matplotlib, seaborn" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import scipy\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Disclaimer\n", + "\n", + "Няма да влизаме във всичко. Няма дори да чертаем пълна картинка – петте библиотеки са огромни и е добре да разгледате всяка от тях за детайли." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# NumPy\n", + "\n", + "Най-важното нещо в NumPy е `np.array`, което е многомерен масив (тензор) с който може да извършваме стандартните операции." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3],\n", + " [ 4, 5, 6],\n", + " [ 7, 8, 9],\n", + " [10, 11, 12]])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array = np.array([[ 1, 2, 3],\n", + " [ 4, 5, 6],\n", + " [ 7, 8, 9],\n", + " [10, 11, 12]])\n", + "array" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Основи" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Масивите имат следните атрибути:\n", + "\n", + "* `ndim` – брой измерения\n", + "* `shape` – \"кортеж\" с размерности на всяко измерение\n", + "* `size` – брой елементи\n", + "* `dtype` – тип на елементите (всички елементи са от един тип)\n", + "* `itemsize` – брой байтове за един елемент" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.ndim" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(4, 3)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "12" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.size" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "dtype('int64')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.dtype" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "8" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.itemsize" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "dtype('int64')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.dtype" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "NumPy ползва библиотеки на Fortran и C++ за да прави ефективни изчисления. По тази причина обектите му са по-ограничени от стандартни питонски масиви, но пък много по-ефективни." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Индексация" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Редове могат да се вземат с индексация:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 2, 3])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 11, 12])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array[-1]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Елементи също:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "6" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array[1, 2]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ако искате да вземете цяло измерение, може да ползвате slice (както и празен такъв):" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([4, 5, 6])" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array[1, :]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 2, 5, 8, 11])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array[:, 1]" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[2, 3],\n", + " [5, 6],\n", + " [8, 9]])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array[:3, 1:]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Промяна на формата" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Може да промените размера с `reshape`." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3],\n", + " [ 4, 5, 6],\n", + " [ 7, 8, 9],\n", + " [10, 11, 12]])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.reshape(4, 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3, 4, 5, 6],\n", + " [ 7, 8, 9, 10, 11, 12]])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.reshape(2, 6)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12])" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.reshape(12)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Аргумент от `-1` определя неясно измерение:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.reshape(1, -1)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3, 4, 5, 6],\n", + " [ 7, 8, 9, 10, 11, 12]])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.reshape(-1, 6)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1],\n", + " [ 2],\n", + " [ 3],\n", + " [ 4],\n", + " [ 5],\n", + " [ 6],\n", + " [ 7],\n", + " [ 8],\n", + " [ 9],\n", + " [10],\n", + " [11],\n", + " [12]])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "array.reshape(-1, 1)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Инициализация" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има `ones` и `zeros`, които инициализират масив с определени размери." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1., 1., 1., 1.])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0.]])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.zeros((4, 4))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[[ 1., 1., 1., 1.],\n", + " [ 1., 1., 1., 1.],\n", + " [ 1., 1., 1., 1.]],\n", + "\n", + " [[ 1., 1., 1., 1.],\n", + " [ 1., 1., 1., 1.],\n", + " [ 1., 1., 1., 1.]]])" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones((2, 3, 4))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има и още няколко подобни:" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Единична матрица." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 0., 0., 0.],\n", + " [ 0., 1., 0., 0.],\n", + " [ 0., 0., 1., 0.],\n", + " [ 0., 0., 0., 1.]])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.eye(4)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Диагонална матрица:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 0, 0, 0],\n", + " [0, 2, 0, 0],\n", + " [0, 0, 3, 0],\n", + " [0, 0, 0, 4]])" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.diag([1, 2, 3, 4])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Матрица с произволни стойности в $[0, 1)$:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.56514321, 0.86293266, 0.48961456, 0.53155191],\n", + " [ 0.37221079, 0.10859702, 0.17961876, 0.01028912],\n", + " [ 0.95140075, 0.10041546, 0.21515791, 0.63846962]])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.rand(3, 4)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "NumPy има няколко типа – може да ги определяте при конструкция:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ True, True, True, True],\n", + " [ True, True, True, True],\n", + " [ True, True, True, True]], dtype=bool)" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones((3, 4), dtype=np.bool)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 1, 1, 1],\n", + " [1, 1, 1, 1],\n", + " [1, 1, 1, 1]], dtype=int8)" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones((3, 4), dtype=np.int8)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.0, 1.0, 1.0, 1.0],\n", + " [ 1.0, 1.0, 1.0, 1.0],\n", + " [ 1.0, 1.0, 1.0, 1.0]], dtype=float128)" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones((3, 4), dtype=np.float128)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Операции" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Може да мислите за елементите като матрици, но трябва да знаете, че операциите с тях се **прилагат elementwise**:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 0., 0., 0.],\n", + " [ 0., 1., 0., 0.],\n", + " [ 0., 0., 1., 0.],\n", + " [ 0., 0., 0., 1.]])" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "i = np.eye(4)\n", + "i" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.48206938, 0.58323858, 0.39795418, 0.35712094],\n", + " [ 0.44436829, 0.92957163, 0.63812352, 0.4267433 ],\n", + " [ 0.09840043, 0.19810846, 0.23865456, 0.15388172],\n", + " [ 0.67463862, 0.97097505, 0.2280277 , 0.14298459]])" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers = np.random.rand(4, 4)\n", + "random_numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Произведението на тези две матрици трябва да даде `random_numbers` (`i` е единична матрица). Резултата, обаче, е друг:" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.48733884, 0. , 0. , 0. ],\n", + " [ 0. , 0.0018842 , 0. , 0. ],\n", + " [ 0. , 0. , 0.16421426, 0. ],\n", + " [ 0. , 0. , 0. , 0.38559102]])" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.eye(4) * np.random.rand(4, 4)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Събирането е същото:" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.48206938, 0.58323858, 0.39795418, 0.35712094],\n", + " [ 0.44436829, 1.92957163, 0.63812352, 0.4267433 ],\n", + " [ 0.09840043, 0.19810846, 1.23865456, 0.15388172],\n", + " [ 0.67463862, 0.97097505, 0.2280277 , 1.14298459]])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "i + random_numbers" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Както и повдигането на степен:" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.48206938, 1. , 1. , 1. ],\n", + " [ 1. , 0.92957163, 1. , 1. ],\n", + " [ 1. , 1. , 0.23865456, 1. ],\n", + " [ 1. , 1. , 1. , 0.14298459]])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers ** i" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ако единия операнд е скалар, операцията се \"векторизира\" – изпълнява се за всеки елемент:" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.48206938, 1.58323858, 1.39795418, 1.35712094],\n", + " [ 1.44436829, 1.92957163, 1.63812352, 1.4267433 ],\n", + " [ 1.09840043, 1.19810846, 1.23865456, 1.15388172],\n", + " [ 1.67463862, 1.97097505, 1.2280277 , 1.14298459]])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers + 1" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[4, 5, 3, 3],\n", + " [4, 9, 6, 4],\n", + " [0, 1, 2, 1],\n", + " [6, 9, 2, 1]])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(random_numbers * 10).astype(np.int64)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.01793062, 0.08323858, -0.10204582, -0.14287906],\n", + " [-0.05563171, 0.42957163, 0.13812352, -0.0732567 ],\n", + " [-0.40159957, -0.30189154, -0.26134544, -0.34611828],\n", + " [ 0.17463862, 0.47097505, -0.2719723 , -0.35701541]])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers - 0.5" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Резултата може и да е друг тип:" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[False, True, False, False],\n", + " [False, True, True, False],\n", + " [False, False, False, False],\n", + " [ True, True, False, False]], dtype=bool)" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers >= 0.5" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Индексация (2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Може да индексираме с масиви и да вземем стойностите от няколко места:" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([96, 24, 46, 52, 11, 1, 91, 25, 72, 95, 48, 93])" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "numbers = (np.random.rand(12) * 100).astype(np.int64)\n", + "numbers" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "numbers[2] = 46\n", + "numbers[4] = 11\n", + "numbers[6] = 91\n" + ] + }, + { + "data": { + "text/plain": [ + "array([46, 11, 91])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "print(\"numbers[2] = {}\".format(numbers[2]))\n", + "print(\"numbers[4] = {}\".format(numbers[4]))\n", + "print(\"numbers[6] = {}\".format(numbers[6]))\n", + "numbers[[2, 4, 6]]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да индексираме и с булев масив:" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[False, True, False, False],\n", + " [False, True, True, False],\n", + " [False, False, False, False],\n", + " [ True, True, False, False]], dtype=bool)" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers >= 0.5" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.58323858, 0.92957163, 0.63812352, 0.67463862, 0.97097505])" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers[random_numbers >= 0.5]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Като нещо допълнително, ако искаме да оставим числата по-малки от 0.5 да са нули, може да го направим така:" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0. , 0.58323858, 0. , 0. ],\n", + " [ 0. , 0.92957163, 0.63812352, 0. ],\n", + " [ 0. , 0. , 0. , 0. ],\n", + " [ 0.67463862, 0.97097505, 0. , 0. ]])" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers * (random_numbers >= 0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Това работи, защото `True` се брои за `1`, а `False` за `0`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Broadcasting" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ако единия операнд има по-малко измерения, операцията се прилага многократно за всеки елемент от другите измерения:" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.48206938, 2.58323858, 3.39795418, 4.35712094],\n", + " [ 1.44436829, 2.92957163, 3.63812352, 4.4267433 ],\n", + " [ 1.09840043, 2.19810846, 3.23865456, 4.15388172],\n", + " [ 1.67463862, 2.97097505, 3.2280277 , 4.14298459]])" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers + np.array([1, 2, 3, 4])" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.48206938, 1.58323858, 1.39795418, 1.35712094],\n", + " [ 2.44436829, 2.92957163, 2.63812352, 2.4267433 ],\n", + " [ 3.09840043, 3.19810846, 3.23865456, 3.15388172],\n", + " [ 4.67463862, 4.97097505, 4.2280277 , 4.14298459]])" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers + np.array([[1], [2], [3], [4]])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Stacking" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Може да \"конкатенираме\" масиви:" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[59, 3, 75, 25],\n", + " [66, 56, 1, 6],\n", + " [41, 12, 20, 16]])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers = ((np.random.rand(3, 4) * 100) + 1).astype(np.int64)\n", + "random_numbers" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[59, 3, 75, 25, 1, 0, 0],\n", + " [66, 56, 1, 6, 0, 1, 0],\n", + " [41, 12, 20, 16, 0, 0, 1]])" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.hstack([random_numbers, np.eye(3, dtype=np.int64)])" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[59, 3, 75, 25],\n", + " [66, 56, 1, 6],\n", + " [41, 12, 20, 16],\n", + " [ 1, 0, 0, 0],\n", + " [ 0, 2, 0, 0],\n", + " [ 0, 0, 3, 0],\n", + " [ 0, 0, 0, 4]])" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.vstack([random_numbers, np.diag([1, 2, 3, 4])])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Разни други" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`ravel` \"разплита\" масив:" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[[ 0.7381764 , 0.82545346, 0.19453735, 0.94529379],\n", + " [ 0.42152962, 0.83533814, 0.8285769 , 0.94241443],\n", + " [ 0.51996849, 0.34264102, 0.36657068, 0.09126189]],\n", + "\n", + " [[ 0.31964768, 0.59214193, 0.27509901, 0.4741279 ],\n", + " [ 0.74989272, 0.00107352, 0.20484901, 0.36730572],\n", + " [ 0.1438264 , 0.39187307, 0.80343207, 0.98656452]]])" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tensor = np.random.rand(2, 3, 4)\n", + "tensor" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.7381764 , 0.82545346, 0.19453735, 0.94529379, 0.42152962,\n", + " 0.83533814, 0.8285769 , 0.94241443, 0.51996849, 0.34264102,\n", + " 0.36657068, 0.09126189, 0.31964768, 0.59214193, 0.27509901,\n", + " 0.4741279 , 0.74989272, 0.00107352, 0.20484901, 0.36730572,\n", + " 0.1438264 , 0.39187307, 0.80343207, 0.98656452])" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tensor.ravel()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`np.arange` е аналогичен на `range` в Python:" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 15, 20, 25])" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(10, 30, 5)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`np.linspace` връща точки в линейно пространство:" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 10. , 12.5, 15. , 17.5, 20. ])" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linspace(10, 20, 5)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.20408163, 0.40816327, 0.6122449 ,\n", + " 0.81632653, 1.02040816, 1.2244898 , 1.42857143,\n", + " 1.63265306, 1.83673469, 2.04081633, 2.24489796,\n", + " 2.44897959, 2.65306122, 2.85714286, 3.06122449,\n", + " 3.26530612, 3.46938776, 3.67346939, 3.87755102,\n", + " 4.08163265, 4.28571429, 4.48979592, 4.69387755,\n", + " 4.89795918, 5.10204082, 5.30612245, 5.51020408,\n", + " 5.71428571, 5.91836735, 6.12244898, 6.32653061,\n", + " 6.53061224, 6.73469388, 6.93877551, 7.14285714,\n", + " 7.34693878, 7.55102041, 7.75510204, 7.95918367,\n", + " 8.16326531, 8.36734694, 8.57142857, 8.7755102 ,\n", + " 8.97959184, 9.18367347, 9.3877551 , 9.59183673,\n", + " 9.79591837, 10. ])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linspace(0, 10)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има и доста функции:\n", + "\n", + "* `sum`\n", + "* `mean`\n", + "* `median`\n", + "* `max`\n", + "* `min`\n", + "* ...\n", + "\n", + "Те приемат аргумент за измерение, по което да работят." + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[59, 3, 75, 25],\n", + " [66, 56, 1, 6],\n", + " [41, 12, 20, 16]])" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "380" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers.sum()" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([166, 71, 96, 47])" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers.sum(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([162, 129, 89])" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers.sum(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([166, 71, 96, 47])" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers.sum(0)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "75" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([75, 66, 41])" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers.max(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "31.666666666666668" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 55.33333333, 23.66666667, 32. , 15.66666667])" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "random_numbers.mean(0)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Universal Functions\n", + "\n", + "NumPy предлага и функции, които се изпълняват elementwise върху масива." + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 3.68898776, 3.22594365, 1.45144055],\n", + " [ 1.19180113, 1.37546678, 1.57580796],\n", + " [ 3.22560783, 3.07478271, 3.17018955]])" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "numbers = np.random.rand(3, 3) * 3 + 1\n", + "numbers" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 40.0043326 , 25.17732149, 4.26926016],\n", + " [ 3.29300699, 3.95692332, 4.83464626],\n", + " [ 25.16886789, 21.64517805, 23.81199752]])" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.exp(numbers)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.3053521 , 1.17122551, 0.37255654],\n", + " [ 0.17546571, 0.31879315, 0.45476813],\n", + " [ 1.17112141, 1.12323423, 1.15379138]])" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.log(numbers)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.52046473, -0.084251 , 0.99288555],\n", + " [ 0.92903687, 0.98098376, 0.99998744],\n", + " [-0.08391637, 0.06676026, -0.028593 ]])" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sin(numbers)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Прилагането на функция на всеки елемент е малко тегаво:" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "16" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def plus_one_square(x):\n", + " return x**2 + 2 * x + 1\n", + "\n", + "plus_one_square(3)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има декоратор, `np.vectorize`, който прави функцията работеща:" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 21.98660624, 17.85859972, 6.00956076],\n", + " [ 4.80399217, 5.64284244, 6.63478667],\n", + " [ 17.85576153, 16.60385411, 17.39048089]])" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "vectorized = np.vectorize(plus_one_square)\n", + "vectorized(numbers)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Разбира се, това е бавно. Ако можете, по-добре да си разпишете сметката:" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 21.98660624, 17.85859972, 6.00956076],\n", + " [ 4.80399217, 5.64284244, 6.63478667],\n", + " [ 17.85576153, 16.60385411, 17.39048089]])" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "numbers**2 + 2 * numbers + 1" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Или, донякъде изненадващо:" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 21.98660624, 17.85859972, 6.00956076],\n", + " [ 4.80399217, 5.64284244, 6.63478667],\n", + " [ 17.85576153, 16.60385411, 17.39048089]])" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "plus_one_square(numbers)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Duck Typing FTW!" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Линейна алгебра\n", + "\n", + "Има и разни познати неща от линейната алгебра." + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 2, 3],\n", + " [4, 5, 6],\n", + " [7, 8, 9]])" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "matrix = np.arange(1, 10).reshape(3, 3)\n", + "matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 4, 7],\n", + " [2, 5, 8],\n", + " [3, 6, 9]])" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "matrix.transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 4, 7],\n", + " [2, 5, 8],\n", + " [3, 6, 9]])" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "matrix.T" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "В Python (баси тъпия език) има оператор за умножение на матрици – `@` (сериозно!):" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 2., 3.],\n", + " [ 4., 5., 6.],\n", + " [ 7., 8., 9.]])" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "matrix @ np.eye(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3],\n", + " [ 8, 10, 12],\n", + " [21, 24, 27]])" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.diag([1, 2, 3]) @ matrix" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може и да обръщате матрица:" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.66043013, 0.83460889, 0.26150279],\n", + " [ 0.82337737, 0.17953916, 0.59095886],\n", + " [ 0.16145234, 0.60126501, 0.91035188]])" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "matrix = np.random.rand(3, 3)\n", + "matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.34836317, 1.09396017, -0.81021791],\n", + " [ 1.18763479, -1.01489049, 0.31766697],\n", + " [-0.8461863 , 0.47629463, 1.03235855]])" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "inverse = np.linalg.inv(matrix)\n", + "inverse" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.00000000e+00, -9.77499451e-17, 5.55111512e-17],\n", + " [ 3.79750131e-17, 1.00000000e+00, 0.00000000e+00],\n", + " [ -1.11022302e-16, -1.11022302e-16, 1.00000000e+00]])" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "matrix @ inverse" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., -0., 0.],\n", + " [ 0., 1., 0.],\n", + " [-0., -0., 1.]])" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(matrix @ inverse).round(2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Разбира се, (1) тази операция не винаги минава и (2) е супер бавна." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Още\n", + "\n", + "В NumPy има още доста. Най-добре прегледайте документацията набързо:\n", + "\n", + "* http://www.numpy.org/\n", + "* [Quickstart Tutorial](https://docs.scipy.org/doc/numpy-dev/user/quickstart.html)\n", + "* https://google.com/" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# SciPy\n", + "\n", + "SciPy е огромен. Ето само някои от нещата, които има:\n", + "\n", + "* Clustering package (`scipy.cluster`)\n", + "* Constants (`scipy.constants`)\n", + "* Discrete Fourier transforms (`scipy.fftpack`)\n", + "* Integration and ODEs (`scipy.integrate`)\n", + "* Interpolation (`scipy.interpolate`)\n", + "* Input and output (`scipy.io`)\n", + "* Linear algebra (`scipy.linalg`)\n", + "* Miscellaneous routines (`scipy.misc`)\n", + "* Multi-dimensional image processing (`scipy.ndimage`)\n", + "* Orthogonal distance regression (`scipy.odr`)\n", + "* Optimization and root finding (`scipy.optimize`)\n", + "* Signal processing (`scipy.signal`)\n", + "* Sparse matrices (`scipy.sparse`)\n", + "* Sparse linear algebra (`scipy.sparse.linalg`)\n", + "* Compressed Sparse Graph Routines (`scipy.sparse.csgraph`)\n", + "* Spatial algorithms and data structures (`scipy.spatial`)\n", + "* Special functions (`scipy.special`)\n", + "* Statistical functions (`scipy.stats`)\n", + "* Statistical functions for masked arrays (`scipy.stats.mstats`)" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: 0.0\n", + " hess_inv: array([[ 0.5]])\n", + " jac: array([ 0.])\n", + " message: 'Optimization terminated successfully.'\n", + " nfev: 9\n", + " nit: 2\n", + " njev: 3\n", + " status: 0\n", + " success: True\n", + " x: array([-1.00000001])" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "scipy.optimize.minimize(lambda x: x**2 + 2 * x + 1, 0.7123412)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Как? Сложно." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Като друго забавление, нека видим интеграцията:" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "from matplotlib.patches import Polygon\n", + "\n", + "def draw_sine_integration_example():\n", + " func = np.sin\n", + " a, b = np.pi / 2, np.pi\n", + " x = np.linspace(-0.2, np.pi * 1.5)\n", + " y = func(x)\n", + "\n", + " fig, ax = plt.subplots(figsize=(10, 6))\n", + " plt.plot(x, y, 'r', linewidth=2)\n", + " plt.grid()\n", + "\n", + " ix = np.linspace(a, b)\n", + " iy = func(ix)\n", + " verts = [(a, 0)] + list(zip(ix, iy)) + [(b, 0)]\n", + " poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')\n", + " ax.add_patch(poly)\n", + "\n", + " ax.axhline(color='k')\n", + " ax.axvline(color='k')\n", + " ax.annotate(r'$\\frac{\\pi}{2}$', (np.pi / 2, 0), xytext=(0, -20), textcoords='offset points', size='x-large')\n", + " ax.annotate(r'$\\pi$', (np.pi, 0), xytext=(0, -20), textcoords='offset points', size='x-large')" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Dz5XyPPQQfPQRpKW5UfuN8Z1IRCJc7j/+QcEhh5C8ciXFN9zgO45IzApHKWsM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\nlbI98eKL8MorUKuWO4WekOA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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_sine_integration_example()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "$$\n", + "\\begin{align*}\n", + "\\int_{\\pi / 2}^{\\pi}\\sin(x)\\mathrm{d} x &= - \\cos(x) \\Big|_{\\pi / 2}^\\pi \\\\\n", + "&= - \\cos(\\pi) - \\big(- \\cos(\\frac{\\pi}{2}) \\big) \\\\\n", + "&= \\cos(\\frac{\\pi}{2}) - \\cos(\\pi) \\\\\n", + "&= 0 - (-1) \\\\\n", + "&= 1\n", + "\\end{align*} \n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(1.0000000000000002, 1.1102230246251569e-14)" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "scipy.integrate.quad(lambda x: np.sin(x), np.pi / 2, np.pi)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Pandas" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`pandas` е data science библиотека за Python. Дава ни два основни типа – `pd.Series` и `pd.DataFrame`.\n", + "\n", + "* `pd.Series` е едноизмерен масив от стойности\n", + "* `pd.DataFrame` е таблица от данни. Може да мислите за нея като масив от `pd.Series`, където последните са всяка колона.\n", + "\n", + "Ще разгледаме първо `pd.Series`." + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0 2\n", + "1 4\n", + "2 -1\n", + "3 4\n", + "dtype: int64" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series = pd.Series([2, 4, -1, 4])\n", + "series" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да вземете стойностите като NumPy масив:" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 2, 4, -1, 4])" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.values" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Всеки `Series` има и иднекс:" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "RangeIndex(start=0, stop=4, step=1)" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.index" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Индекса може да има произволни стойности:" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "a 2\n", + "b 4\n", + "c -1\n", + "d 4\n", + "dtype: int64" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series = pd.Series([2, 4, -1, 4], index=['a', 'b', 'c', 'd'])\n", + "series" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['a', 'b', 'c', 'd'], dtype='object')" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.index" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Индексирането работи както очакваме:" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series['a']" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "a 2\n", + "b 4\n", + "c -1\n", + "d 4\n", + "e -12\n", + "dtype: int64" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series['e'] = -12\n", + "series" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "a 2\n", + "e -12\n", + "c -1\n", + "dtype: int64" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series[['a', 'e', 'c']]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има и позната векторизация от NumPy:" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "a 4\n", + "b 8\n", + "c -2\n", + "d 8\n", + "e -24\n", + "dtype: int64" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series * 2" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "a True\n", + "b True\n", + "c False\n", + "d True\n", + "e False\n", + "dtype: bool" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series > 0" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Както и индексиране с булев series. Обърнете внимание на съвпадащите и запазващите се индекси:" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "a 2\n", + "b 4\n", + "d 4\n", + "dtype: int64" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series[series > 0]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да прекарете `Series` през универсална функция:" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "a 1.386294\n", + "b 2.772589\n", + "c 0.000000\n", + "d 2.772589\n", + "e 4.969813\n", + "dtype: float64" + ] + }, + "execution_count": 95, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.log(series * series)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да конструирате `Series` с речник, където ключовете са индекса, а стойностите са... стойностите." + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Bulgaria Sofia\n", + "Malaysia None\n", + "United Kingdom London\n", + "dtype: object" + ] + }, + "execution_count": 96, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "capitals = {'Bulgaria': 'Sofia', 'United Kingdom': 'London', 'Malaysia': None}\n", + "series = pd.Series(capitals)\n", + "series" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има `isnull`" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Bulgaria False\n", + "Malaysia True\n", + "United Kingdom False\n", + "dtype: bool" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.isnull()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Индекса и редицата могат да имат имена:" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "country\n", + "Bulgaria Sofia\n", + "Malaysia None\n", + "United Kingdom London\n", + "Name: capital, dtype: object" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.name = 'capital'\n", + "series.index.name = 'country'\n", + "series" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Това понякога е полезно за да се създадат ясни данни." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има и основните статистически операции:" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "series = pd.Series([1, 5, 3, 2, 9, 1, 13, 5, 1, 5])" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "4.5" + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "4.0" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.median()" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0 1\n", + "1 5\n", + "dtype: int64" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.mode()" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "3.9228674319799399" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "15.388888888888889" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "series.var()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## DataFrame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "DataFrame-а е таблица от данни, в която всяка колона има собствен тип.\n", + "\n", + "Един начин да го конструираме е с речник, където всяка двойка ключ-стойност е колона." + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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NameGenderAgeBrothersSisters
0John Snowmale1632
1Arya Starkfemale1141
2Daenerys Targeryanfemale1621
3Jamie Lannistermale3611
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" + ], + "text/plain": [ + " Name Gender Age Brothers Sisters\n", + "0 John Snow male 16 3 2\n", + "1 Arya Stark female 11 4 1\n", + "2 Daenerys Targeryan female 16 2 1\n", + "3 Jamie Lannister male 36 1 1" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame({\n", + "'Name': ['John Snow', 'Arya Stark', 'Daenerys Targeryan', 'Jamie Lannister'],\n", + "'Gender': pd.Categorical(['male', 'female', 'female', 'male']),\n", + "'Age': [16, 11, 16, 36],\n", + "'Brothers': [3, 4, 2, 1],\n", + "'Sisters': [2, 1, 1, 1],\n", + "}, columns=['Name', 'Gender', 'Age', 'Brothers', 'Sisters'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`pd.Categorical` е нещо като `pd.Series`, но с по-оптимален запис в паметта." + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[male, female, female, male]\n", + "Categories (2, object): [female, male]" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Categorical(['male', 'female', 'female', 'male'])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да дадем данните и таблично, като определим имената на колоните:" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "data = [\n", + " ['Eddard Stark', 34, 41, 'Stark', 'male'],\n", + " ['Catelyn Stark', 33, 40, 'Stark', 'female'],\n", + " ['Daenerys Targaryen', 13, 16, 'Targaryen', 'female'],\n", + " ['Tyrion Lannister', 24, 32, 'Lannister', 'male'],\n", + " ['Jon Snow', 14, 16, 'Stark', 'male'],\n", + " ['Brandon Stark', 7, 10, 'Stark', 'male'],\n", + " ['Sansa Stark', 11, 13, 'Stark', 'female'],\n", + " ['Arya Stark', 9, 11, 'Stark', 'female'],\n", + " ['Theon Greyjoy', 18, 16, 'Greyjoy', 'male'],\n", + " ['Davos Seaworth', 37, 49, 'Seaworth', 'male'],\n", + " ['Jaime Lannister', 31, 36, 'Lannister', 'male'],\n", + " ['Samwell Tarly', 14, 17, 'Tarly', 'male'],\n", + " ['Cersei Lannister', 31, 36, 'Lannister', 'female'],\n", + " ['Brienne of Tarth', 17, 32, 'Tarth', 'female']\n", + "]\n", + "characters = pd.DataFrame(data, columns=['name', 'book_age', 'tv_age', 'house', 'gender'])" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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8Theon Greyjoy1816Greyjoymale
9Davos Seaworth3749Seaworthmale
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" + ], + "text/plain": [ + " name tv_age\n", + "0 Eddard Stark 41\n", + "1 Catelyn Stark 40\n", + "2 Daenerys Targaryen 16\n", + "3 Tyrion Lannister 32\n", + "4 Jon Snow 16\n", + "5 Brandon Stark 10\n", + "6 Sansa Stark 13\n", + "7 Arya Stark 11\n", + "8 Theon Greyjoy 16\n", + "9 Davos Seaworth 49\n", + "10 Jaime Lannister 36\n", + "11 Samwell Tarly 17\n", + "12 Cersei Lannister 36\n", + "13 Brienne of Tarth 32" + ] + }, + "execution_count": 111, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters[['name', 'tv_age']]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ако искаме да индексираме по редове, трябва да ползваме `loc`:" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "name Tyrion Lannister\n", + "book_age 24\n", + "tv_age 32\n", + "house Lannister\n", + "gender male\n", + "Name: 3, dtype: object" + ] + }, + "execution_count": 112, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.loc[3]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Обърнете внимание, че резултате е `Series` от реда. Индекса е имената на колоните, а типа е най-генералния (`object`)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да вземете slice:" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegender
1Catelyn Stark3340Starkfemale
2Daenerys Targaryen1316Targaryenfemale
3Tyrion Lannister2432Lannistermale
4Jon Snow1416Starkmale
5Brandon Stark710Starkmale
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" + ], + "text/plain": [ + " name book_age tv_age house gender\n", + "1 Catelyn Stark 33 40 Stark female\n", + "2 Daenerys Targaryen 13 16 Targaryen female\n", + "3 Tyrion Lannister 24 32 Lannister male\n", + "4 Jon Snow 14 16 Stark male\n", + "5 Brandon Stark 7 10 Stark male" + ] + }, + "execution_count": 113, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.loc[1:5]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да комбинираме редове и колони с `loc`:" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " name gender\n", + "1 Catelyn Stark female\n", + "2 Daenerys Targaryen female\n", + "3 Tyrion Lannister male\n", + "4 Jon Snow male\n", + "5 Brandon Stark male" + ] + }, + "execution_count": 114, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.loc[1:5, ['name', 'gender']]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Бихме могли дори да преименуваме индекса:" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegender
nedEddard Stark3441Starkmale
catCatelyn Stark3340Starkfemale
danyDaenerys Targaryen1316Targaryenfemale
tyrionTyrion Lannister2432Lannistermale
jonJon Snow1416Starkmale
branBrandon Stark710Starkmale
sansaSansa Stark1113Starkfemale
aryaArya Stark911Starkfemale
theonTheon Greyjoy1816Greyjoymale
davosDavos Seaworth3749Seaworthmale
jaimeJaime Lannister3136Lannistermale
samSamwell Tarly1417Tarlymale
cerseiCersei Lannister3136Lannisterfemale
brienneBrienne of Tarth1732Tarthfemale
\n", + "
" + ], + "text/plain": [ + " name book_age tv_age house gender\n", + "ned Eddard Stark 34 41 Stark male\n", + "cat Catelyn Stark 33 40 Stark female\n", + "dany Daenerys Targaryen 13 16 Targaryen female\n", + "tyrion Tyrion Lannister 24 32 Lannister male\n", + "jon Jon Snow 14 16 Stark male\n", + "bran Brandon Stark 7 10 Stark male\n", + "sansa Sansa Stark 11 13 Stark female\n", + "arya Arya Stark 9 11 Stark female\n", + "theon Theon Greyjoy 18 16 Greyjoy male\n", + "davos Davos Seaworth 37 49 Seaworth male\n", + "jaime Jaime Lannister 31 36 Lannister male\n", + "sam Samwell Tarly 14 17 Tarly male\n", + "cersei Cersei Lannister 31 36 Lannister female\n", + "brienne Brienne of Tarth 17 32 Tarth female" + ] + }, + "execution_count": 115, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.index = ['ned', 'cat', 'dany', 'tyrion', 'jon', 'bran', 'sansa', 'arya', 'theon', 'davos', 'jaime',\n", + " 'sam', 'cersei', 'brienne']\n", + "characters" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Тогава индексацията става другояче:" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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namehousegender
nedEddard StarkStarkmale
catCatelyn StarkStarkfemale
jaimeJaime LannisterLannistermale
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" + ], + "text/plain": [ + " name house gender\n", + "ned Eddard Stark Stark male\n", + "cat Catelyn Stark Stark female\n", + "jaime Jaime Lannister Lannister male" + ] + }, + "execution_count": 116, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "subset = ['ned', 'cat', 'jaime']\n", + "columns = ['name', 'house', 'gender']\n", + "characters.loc[subset, columns]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да правите стандартната векторна математика с колоните:" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "ned 7\n", + "cat 7\n", + "dany 3\n", + "tyrion 8\n", + "jon 2\n", + "bran 3\n", + "sansa 2\n", + "arya 2\n", + "theon -2\n", + "davos 12\n", + "jaime 5\n", + "sam 3\n", + "cersei 5\n", + "brienne 15\n", + "dtype: int64" + ] + }, + "execution_count": 117, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "differences = characters.tv_age - characters.book_age\n", + "differences" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Виждаме, че средно персонажите са по-възрастни в сериала:" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5.1428571428571432" + ] + }, + "execution_count": 118, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "differences.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.0" + ] + }, + "execution_count": 119, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "differences.median()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да добавим колоната в DataFrame-а. Отново, обърнете внимание на съвпадащите индекси:" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegenderage_difference
nedEddard Stark3441Starkmale7
catCatelyn Stark3340Starkfemale7
danyDaenerys Targaryen1316Targaryenfemale3
tyrionTyrion Lannister2432Lannistermale8
jonJon Snow1416Starkmale2
branBrandon Stark710Starkmale3
sansaSansa Stark1113Starkfemale2
aryaArya Stark911Starkfemale2
theonTheon Greyjoy1816Greyjoymale-2
davosDavos Seaworth3749Seaworthmale12
jaimeJaime Lannister3136Lannistermale5
samSamwell Tarly1417Tarlymale3
cerseiCersei Lannister3136Lannisterfemale5
brienneBrienne of Tarth1732Tarthfemale15
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" + ], + "text/plain": [ + " name book_age tv_age house gender \\\n", + "ned Eddard Stark 34 41 Stark male \n", + "cat Catelyn Stark 33 40 Stark female \n", + "dany Daenerys Targaryen 13 16 Targaryen female \n", + "tyrion Tyrion Lannister 24 32 Lannister male \n", + "jon Jon Snow 14 16 Stark male \n", + "bran Brandon Stark 7 10 Stark male \n", + "sansa Sansa Stark 11 13 Stark female \n", + "arya Arya Stark 9 11 Stark female \n", + "theon Theon Greyjoy 18 16 Greyjoy male \n", + "davos Davos Seaworth 37 49 Seaworth male \n", + "jaime Jaime Lannister 31 36 Lannister male \n", + "sam Samwell Tarly 14 17 Tarly male \n", + "cersei Cersei Lannister 31 36 Lannister female \n", + "brienne Brienne of Tarth 17 32 Tarth female \n", + "\n", + " age_difference \n", + "ned 7 \n", + "cat 7 \n", + "dany 3 \n", + "tyrion 8 \n", + "jon 2 \n", + "bran 3 \n", + "sansa 2 \n", + "arya 2 \n", + "theon -2 \n", + "davos 12 \n", + "jaime 5 \n", + "sam 3 \n", + "cersei 5 \n", + "brienne 15 " + ] + }, + "execution_count": 120, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters['age_difference'] = characters.tv_age - characters.book_age\n", + "characters" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ако добавим нова колона с разминаващ се индекс, останалите стойности ще се попълнят като празни. Липсващите индекси ще се игнорират:" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegenderage_differencealive
nedEddard Stark3441Starkmale7False
catCatelyn Stark3340Starkfemale7NaN
danyDaenerys Targaryen1316Targaryenfemale3True
tyrionTyrion Lannister2432Lannistermale8NaN
jonJon Snow1416Starkmale2NaN
branBrandon Stark710Starkmale3NaN
sansaSansa Stark1113Starkfemale2NaN
aryaArya Stark911Starkfemale2NaN
theonTheon Greyjoy1816Greyjoymale-2NaN
davosDavos Seaworth3749Seaworthmale12NaN
jaimeJaime Lannister3136Lannistermale5NaN
samSamwell Tarly1417Tarlymale3NaN
cerseiCersei Lannister3136Lannisterfemale5NaN
brienneBrienne of Tarth1732Tarthfemale15NaN
\n", + "
" + ], + "text/plain": [ + " name book_age tv_age house gender \\\n", + "ned Eddard Stark 34 41 Stark male \n", + "cat Catelyn Stark 33 40 Stark female \n", + "dany Daenerys Targaryen 13 16 Targaryen female \n", + "tyrion Tyrion Lannister 24 32 Lannister male \n", + "jon Jon Snow 14 16 Stark male \n", + "bran Brandon Stark 7 10 Stark male \n", + "sansa Sansa Stark 11 13 Stark female \n", + "arya Arya Stark 9 11 Stark female \n", + "theon Theon Greyjoy 18 16 Greyjoy male \n", + "davos Davos Seaworth 37 49 Seaworth male \n", + "jaime Jaime Lannister 31 36 Lannister male \n", + "sam Samwell Tarly 14 17 Tarly male \n", + "cersei Cersei Lannister 31 36 Lannister female \n", + "brienne Brienne of Tarth 17 32 Tarth female \n", + "\n", + " age_difference alive \n", + "ned 7 False \n", + "cat 7 NaN \n", + "dany 3 True \n", + "tyrion 8 NaN \n", + "jon 2 NaN \n", + "bran 3 NaN \n", + "sansa 2 NaN \n", + "arya 2 NaN \n", + "theon -2 NaN \n", + "davos 12 NaN \n", + "jaime 5 NaN \n", + "sam 3 NaN \n", + "cersei 5 NaN \n", + "brienne 15 NaN " + ] + }, + "execution_count": 121, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "alive = pd.Series([False, True, False], index=['ned', 'dany', 'viserys'])\n", + "characters['alive'] = alive\n", + "characters" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Бележка: спойлерите са от първи сезон. Ако не сте го гледали – къде живеете?" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Друга модификация:" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegenderage_differencealiveunderage_tv
nedEddard Stark3441Starkmale7FalseFalse
catCatelyn Stark3340Starkfemale7NaNFalse
danyDaenerys Targaryen1316Targaryenfemale3TrueTrue
tyrionTyrion Lannister2432Lannistermale8NaNFalse
jonJon Snow1416Starkmale2NaNTrue
branBrandon Stark710Starkmale3NaNTrue
sansaSansa Stark1113Starkfemale2NaNTrue
aryaArya Stark911Starkfemale2NaNTrue
theonTheon Greyjoy1816Greyjoymale-2NaNTrue
davosDavos Seaworth3749Seaworthmale12NaNFalse
jaimeJaime Lannister3136Lannistermale5NaNFalse
samSamwell Tarly1417Tarlymale3NaNTrue
cerseiCersei Lannister3136Lannisterfemale5NaNFalse
brienneBrienne of Tarth1732Tarthfemale15NaNFalse
\n", + "
" + ], + "text/plain": [ + " name book_age tv_age house gender \\\n", + "ned Eddard Stark 34 41 Stark male \n", + "cat Catelyn Stark 33 40 Stark female \n", + "dany Daenerys Targaryen 13 16 Targaryen female \n", + "tyrion Tyrion Lannister 24 32 Lannister male \n", + "jon Jon Snow 14 16 Stark male \n", + "bran Brandon Stark 7 10 Stark male \n", + "sansa Sansa Stark 11 13 Stark female \n", + "arya Arya Stark 9 11 Stark female \n", + "theon Theon Greyjoy 18 16 Greyjoy male \n", + "davos Davos Seaworth 37 49 Seaworth male \n", + "jaime Jaime Lannister 31 36 Lannister male \n", + "sam Samwell Tarly 14 17 Tarly male \n", + "cersei Cersei Lannister 31 36 Lannister female \n", + "brienne Brienne of Tarth 17 32 Tarth female \n", + "\n", + " age_difference alive underage_tv \n", + "ned 7 False False \n", + "cat 7 NaN False \n", + "dany 3 True True \n", + "tyrion 8 NaN False \n", + "jon 2 NaN True \n", + "bran 3 NaN True \n", + "sansa 2 NaN True \n", + "arya 2 NaN True \n", + "theon -2 NaN True \n", + "davos 12 NaN False \n", + "jaime 5 NaN False \n", + "sam 3 NaN True \n", + "cersei 5 NaN False \n", + "brienne 15 NaN False " + ] + }, + "execution_count": 122, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters['underage_tv'] = characters.tv_age < 18\n", + "characters" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да попълним липсващите стойности с `fillna`. Това вече сме го виждали:" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegenderage_differencealiveunderage_tv
nedEddard Stark3441Starkmale7FalseFalse
catCatelyn Stark3340Starkfemale7TrueFalse
danyDaenerys Targaryen1316Targaryenfemale3TrueTrue
tyrionTyrion Lannister2432Lannistermale8TrueFalse
jonJon Snow1416Starkmale2TrueTrue
branBrandon Stark710Starkmale3TrueTrue
sansaSansa Stark1113Starkfemale2TrueTrue
aryaArya Stark911Starkfemale2TrueTrue
theonTheon Greyjoy1816Greyjoymale-2TrueTrue
davosDavos Seaworth3749Seaworthmale12TrueFalse
jaimeJaime Lannister3136Lannistermale5TrueFalse
samSamwell Tarly1417Tarlymale3TrueTrue
cerseiCersei Lannister3136Lannisterfemale5TrueFalse
brienneBrienne of Tarth1732Tarthfemale15TrueFalse
\n", + "
" + ], + "text/plain": [ + " name book_age tv_age house gender \\\n", + "ned Eddard Stark 34 41 Stark male \n", + "cat Catelyn Stark 33 40 Stark female \n", + "dany Daenerys Targaryen 13 16 Targaryen female \n", + "tyrion Tyrion Lannister 24 32 Lannister male \n", + "jon Jon Snow 14 16 Stark male \n", + "bran Brandon Stark 7 10 Stark male \n", + "sansa Sansa Stark 11 13 Stark female \n", + "arya Arya Stark 9 11 Stark female \n", + "theon Theon Greyjoy 18 16 Greyjoy male \n", + "davos Davos Seaworth 37 49 Seaworth male \n", + "jaime Jaime Lannister 31 36 Lannister male \n", + "sam Samwell Tarly 14 17 Tarly male \n", + "cersei Cersei Lannister 31 36 Lannister female \n", + "brienne Brienne of Tarth 17 32 Tarth female \n", + "\n", + " age_difference alive underage_tv \n", + "ned 7 False False \n", + "cat 7 True False \n", + "dany 3 True True \n", + "tyrion 8 True False \n", + "jon 2 True True \n", + "bran 3 True True \n", + "sansa 2 True True \n", + "arya 2 True True \n", + "theon -2 True True \n", + "davos 12 True False \n", + "jaime 5 True False \n", + "sam 3 True True \n", + "cersei 5 True False \n", + "brienne 15 True False " + ] + }, + "execution_count": 123, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.alive = characters.alive.fillna(True)\n", + "characters" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Spoiler alet: не всички са живи" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да вземем и NumPy матрицата:" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([['Eddard Stark', 34, 41, 'Stark', 'male', 7, False, False],\n", + " ['Catelyn Stark', 33, 40, 'Stark', 'female', 7, True, False],\n", + " ['Daenerys Targaryen', 13, 16, 'Targaryen', 'female', 3, True, True],\n", + " ['Tyrion Lannister', 24, 32, 'Lannister', 'male', 8, True, False],\n", + " ['Jon Snow', 14, 16, 'Stark', 'male', 2, True, True],\n", + " ['Brandon Stark', 7, 10, 'Stark', 'male', 3, True, True],\n", + " ['Sansa Stark', 11, 13, 'Stark', 'female', 2, True, True],\n", + " ['Arya Stark', 9, 11, 'Stark', 'female', 2, True, True],\n", + " ['Theon Greyjoy', 18, 16, 'Greyjoy', 'male', -2, True, True],\n", + " ['Davos Seaworth', 37, 49, 'Seaworth', 'male', 12, True, False],\n", + " ['Jaime Lannister', 31, 36, 'Lannister', 'male', 5, True, False],\n", + " ['Samwell Tarly', 14, 17, 'Tarly', 'male', 3, True, True],\n", + " ['Cersei Lannister', 31, 36, 'Lannister', 'female', 5, True, False],\n", + " ['Brienne of Tarth', 17, 32, 'Tarth', 'female', 15, True, False]], dtype=object)" + ] + }, + "execution_count": 124, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.values" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да махате колони и редове с `drop`:" + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegenderage_differencealiveunderage_tv
danyDaenerys Targaryen1316Targaryenfemale3TrueTrue
tyrionTyrion Lannister2432Lannistermale8TrueFalse
jonJon Snow1416Starkmale2TrueTrue
theonTheon Greyjoy1816Greyjoymale-2TrueTrue
davosDavos Seaworth3749Seaworthmale12TrueFalse
jaimeJaime Lannister3136Lannistermale5TrueFalse
samSamwell Tarly1417Tarlymale3TrueTrue
cerseiCersei Lannister3136Lannisterfemale5TrueFalse
brienneBrienne of Tarth1732Tarthfemale15TrueFalse
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" + ], + "text/plain": [ + " name book_age tv_age house gender \\\n", + "dany Daenerys Targaryen 13 16 Targaryen female \n", + "tyrion Tyrion Lannister 24 32 Lannister male \n", + "jon Jon Snow 14 16 Stark male \n", + "theon Theon Greyjoy 18 16 Greyjoy male \n", + "davos Davos Seaworth 37 49 Seaworth male \n", + "jaime Jaime Lannister 31 36 Lannister male \n", + "sam Samwell Tarly 14 17 Tarly male \n", + "cersei Cersei Lannister 31 36 Lannister female \n", + "brienne Brienne of Tarth 17 32 Tarth female \n", + "\n", + " age_difference alive underage_tv \n", + "dany 3 True True \n", + "tyrion 8 True False \n", + "jon 2 True True \n", + "theon -2 True True \n", + "davos 12 True False \n", + "jaime 5 True False \n", + "sam 3 True True \n", + "cersei 5 True False \n", + "brienne 15 True False " + ] + }, + "execution_count": 125, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.drop(['ned', 'cat', 'sansa', 'arya', 'bran'])" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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namehousegenderaliveunderage_tv
nedEddard StarkStarkmaleFalseFalse
catCatelyn StarkStarkfemaleTrueFalse
danyDaenerys TargaryenTargaryenfemaleTrueTrue
tyrionTyrion LannisterLannistermaleTrueFalse
jonJon SnowStarkmaleTrueTrue
branBrandon StarkStarkmaleTrueTrue
sansaSansa StarkStarkfemaleTrueTrue
aryaArya StarkStarkfemaleTrueTrue
theonTheon GreyjoyGreyjoymaleTrueTrue
davosDavos SeaworthSeaworthmaleTrueFalse
jaimeJaime LannisterLannistermaleTrueFalse
samSamwell TarlyTarlymaleTrueTrue
cerseiCersei LannisterLannisterfemaleTrueFalse
brienneBrienne of TarthTarthfemaleTrueFalse
\n", + "
" + ], + "text/plain": [ + " name house gender alive underage_tv\n", + "ned Eddard Stark Stark male False False\n", + "cat Catelyn Stark Stark female True False\n", + "dany Daenerys Targaryen Targaryen female True True\n", + "tyrion Tyrion Lannister Lannister male True False\n", + "jon Jon Snow Stark male True True\n", + "bran Brandon Stark Stark male True True\n", + "sansa Sansa Stark Stark female True True\n", + "arya Arya Stark Stark female True True\n", + "theon Theon Greyjoy Greyjoy male True True\n", + "davos Davos Seaworth Seaworth male True False\n", + "jaime Jaime Lannister Lannister male True False\n", + "sam Samwell Tarly Tarly male True True\n", + "cersei Cersei Lannister Lannister female True False\n", + "brienne Brienne of Tarth Tarth female True False" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.drop(['tv_age', 'book_age', 'age_difference'], axis=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "И разбира се, индексацията също върши работа за това:" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "ned True\n", + "cat True\n", + "dany False\n", + "tyrion False\n", + "jon True\n", + "bran True\n", + "sansa True\n", + "arya True\n", + "theon False\n", + "davos False\n", + "jaime False\n", + "sam False\n", + "cersei False\n", + "brienne False\n", + "Name: house, dtype: bool" + ] + }, + "execution_count": 127, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.house == 'Stark'" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "ned False\n", + "cat False\n", + "dany True\n", + "tyrion True\n", + "jon False\n", + "bran False\n", + "sansa False\n", + "arya False\n", + "theon True\n", + "davos True\n", + "jaime True\n", + "sam True\n", + "cersei True\n", + "brienne True\n", + "Name: house, dtype: bool" + ] + }, + "execution_count": 128, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "~(characters.house == 'Stark')" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegenderage_differencealiveunderage_tv
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tyrionTyrion Lannister2432Lannistermale8TrueFalse
theonTheon Greyjoy1816Greyjoymale-2TrueTrue
davosDavos Seaworth3749Seaworthmale12TrueFalse
jaimeJaime Lannister3136Lannistermale5TrueFalse
samSamwell Tarly1417Tarlymale3TrueTrue
cerseiCersei Lannister3136Lannisterfemale5TrueFalse
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" + ], + "text/plain": [ + " name book_age tv_age house gender \\\n", + "dany Daenerys Targaryen 13 16 Targaryen female \n", + "tyrion Tyrion Lannister 24 32 Lannister male \n", + "theon Theon Greyjoy 18 16 Greyjoy male \n", + "davos Davos Seaworth 37 49 Seaworth male \n", + "jaime Jaime Lannister 31 36 Lannister male \n", + "sam Samwell Tarly 14 17 Tarly male \n", + "cersei Cersei Lannister 31 36 Lannister female \n", + "brienne Brienne of Tarth 17 32 Tarth female \n", + "\n", + " age_difference alive underage_tv \n", + "dany 3 True True \n", + "tyrion 8 True False \n", + "theon -2 True True \n", + "davos 12 True False \n", + "jaime 5 True False \n", + "sam 3 True True \n", + "cersei 5 True False \n", + "brienne 15 True False " + ] + }, + "execution_count": 129, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters[~(characters.house == 'Stark')]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има и `rank`, който връща ранка при сортиране. `method` взема няколко стойности, които определят какво да стане със елементите, които са еднакви:" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "ned 13.0\n", + "cat 12.0\n", + "dany 4.0\n", + "tyrion 8.0\n", + "jon 4.0\n", + "bran 1.0\n", + "sansa 3.0\n", + "arya 2.0\n", + "theon 4.0\n", + "davos 14.0\n", + "jaime 10.0\n", + "sam 7.0\n", + "cersei 10.0\n", + "brienne 8.0\n", + "Name: tv_age, dtype: float64" + ] + }, + "execution_count": 130, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.tv_age.rank(method='min')" + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegenderage_differencealiveunderage_tvage_rank
nedEddard Stark3441Starkmale7FalseFalse13.0
catCatelyn Stark3340Starkfemale7TrueFalse12.0
danyDaenerys Targaryen1316Targaryenfemale3TrueTrue4.0
tyrionTyrion Lannister2432Lannistermale8TrueFalse8.0
jonJon Snow1416Starkmale2TrueTrue4.0
branBrandon Stark710Starkmale3TrueTrue1.0
sansaSansa Stark1113Starkfemale2TrueTrue3.0
aryaArya Stark911Starkfemale2TrueTrue2.0
theonTheon Greyjoy1816Greyjoymale-2TrueTrue4.0
davosDavos Seaworth3749Seaworthmale12TrueFalse14.0
jaimeJaime Lannister3136Lannistermale5TrueFalse10.0
samSamwell Tarly1417Tarlymale3TrueTrue7.0
cerseiCersei Lannister3136Lannisterfemale5TrueFalse10.0
brienneBrienne of Tarth1732Tarthfemale15TrueFalse8.0
\n", + "
" + ], + "text/plain": [ + " name book_age tv_age house gender \\\n", + "ned Eddard Stark 34 41 Stark male \n", + "cat Catelyn Stark 33 40 Stark female \n", + "dany Daenerys Targaryen 13 16 Targaryen female \n", + "tyrion Tyrion Lannister 24 32 Lannister male \n", + "jon Jon Snow 14 16 Stark male \n", + "bran Brandon Stark 7 10 Stark male \n", + "sansa Sansa Stark 11 13 Stark female \n", + "arya Arya Stark 9 11 Stark female \n", + "theon Theon Greyjoy 18 16 Greyjoy male \n", + "davos Davos Seaworth 37 49 Seaworth male \n", + "jaime Jaime Lannister 31 36 Lannister male \n", + "sam Samwell Tarly 14 17 Tarly male \n", + "cersei Cersei Lannister 31 36 Lannister female \n", + "brienne Brienne of Tarth 17 32 Tarth female \n", + "\n", + " age_difference alive underage_tv age_rank \n", + "ned 7 False False 13.0 \n", + "cat 7 True False 12.0 \n", + "dany 3 True True 4.0 \n", + "tyrion 8 True False 8.0 \n", + "jon 2 True True 4.0 \n", + "bran 3 True True 1.0 \n", + "sansa 2 True True 3.0 \n", + "arya 2 True True 2.0 \n", + "theon -2 True True 4.0 \n", + "davos 12 True False 14.0 \n", + "jaime 5 True False 10.0 \n", + "sam 3 True True 7.0 \n", + "cersei 5 True False 10.0 \n", + "brienne 15 True False 8.0 " + ] + }, + "execution_count": 131, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters['age_rank'] = characters.tv_age.rank(method='min')\n", + "characters" + ] + }, + { + "cell_type": "code", + "execution_count": 132, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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namebook_agetv_agehousegenderage_differencealiveunderage_tvage_rank
branBrandon Stark710Starkmale3TrueTrue1.0
aryaArya Stark911Starkfemale2TrueTrue2.0
sansaSansa Stark1113Starkfemale2TrueTrue3.0
danyDaenerys Targaryen1316Targaryenfemale3TrueTrue4.0
jonJon Snow1416Starkmale2TrueTrue4.0
theonTheon Greyjoy1816Greyjoymale-2TrueTrue4.0
samSamwell Tarly1417Tarlymale3TrueTrue7.0
tyrionTyrion Lannister2432Lannistermale8TrueFalse8.0
brienneBrienne of Tarth1732Tarthfemale15TrueFalse8.0
jaimeJaime Lannister3136Lannistermale5TrueFalse10.0
cerseiCersei Lannister3136Lannisterfemale5TrueFalse10.0
catCatelyn Stark3340Starkfemale7TrueFalse12.0
nedEddard Stark3441Starkmale7FalseFalse13.0
davosDavos Seaworth3749Seaworthmale12TrueFalse14.0
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" + ], + "text/plain": [ + " name book_age tv_age house gender \\\n", + "bran Brandon Stark 7 10 Stark male \n", + "arya Arya Stark 9 11 Stark female \n", + "sansa Sansa Stark 11 13 Stark female \n", + "dany Daenerys Targaryen 13 16 Targaryen female \n", + "jon Jon Snow 14 16 Stark male \n", + "theon Theon Greyjoy 18 16 Greyjoy male \n", + "sam Samwell Tarly 14 17 Tarly male \n", + "tyrion Tyrion Lannister 24 32 Lannister male \n", + "brienne Brienne of Tarth 17 32 Tarth female \n", + "jaime Jaime Lannister 31 36 Lannister male \n", + "cersei Cersei Lannister 31 36 Lannister female \n", + "cat Catelyn Stark 33 40 Stark female \n", + "ned Eddard Stark 34 41 Stark male \n", + "davos Davos Seaworth 37 49 Seaworth male \n", + "\n", + " age_difference alive underage_tv age_rank \n", + "bran 3 True True 1.0 \n", + "arya 2 True True 2.0 \n", + "sansa 2 True True 3.0 \n", + "dany 3 True True 4.0 \n", + "jon 2 True True 4.0 \n", + "theon -2 True True 4.0 \n", + "sam 3 True True 7.0 \n", + "tyrion 8 True False 8.0 \n", + "brienne 15 True False 8.0 \n", + "jaime 5 True False 10.0 \n", + "cersei 5 True False 10.0 \n", + "cat 7 True False 12.0 \n", + "ned 7 False False 13.0 \n", + "davos 12 True False 14.0 " + ] + }, + "execution_count": 132, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.sort_values(by='age_rank')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Агрегиращи операции" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "name Eddard StarkCatelyn StarkDaenerys TargaryenTyr...\n", + "book_age 293\n", + "tv_age 365\n", + "house StarkStarkTargaryenLannisterStarkStarkStarkSta...\n", + "gender malefemalefemalemalemalemalefemalefemalemalema...\n", + "age_difference 72\n", + "alive 13\n", + "underage_tv 7\n", + "age_rank 100\n", + "dtype: object" + ] + }, + "execution_count": 133, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.sum()" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "ned 95.0\n", + "cat 93.0\n", + "dany 38.0\n", + "tyrion 73.0\n", + "jon 38.0\n", + "bran 23.0\n", + "sansa 31.0\n", + "arya 26.0\n", + "theon 38.0\n", + "davos 113.0\n", + "jaime 83.0\n", + "sam 43.0\n", + "cersei 83.0\n", + "brienne 73.0\n", + "dtype: float64" + ] + }, + "execution_count": 134, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.sum(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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book_agetv_ageage_differenceage_rank
count14.00000014.00000014.00000014.000000
mean20.92857126.0714295.1428577.142857
std10.39574113.1644294.4177464.240050
min7.00000010.000000-2.0000001.000000
25%13.25000016.0000002.2500004.000000
50%17.50000024.5000004.0000007.500000
75%31.00000036.0000007.00000010.000000
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" + ], + "text/plain": [ + " book_age tv_age age_difference age_rank\n", + "count 14.000000 14.000000 14.000000 14.000000\n", + "mean 20.928571 26.071429 5.142857 7.142857\n", + "std 10.395741 13.164429 4.417746 4.240050\n", + "min 7.000000 10.000000 -2.000000 1.000000\n", + "25% 13.250000 16.000000 2.250000 4.000000\n", + "50% 17.500000 24.500000 4.000000 7.500000\n", + "75% 31.000000 36.000000 7.000000 10.000000\n", + "max 37.000000 49.000000 15.000000 14.000000" + ] + }, + "execution_count": 135, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.describe()" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "16 3\n", + "32 2\n", + "36 2\n", + "13 1\n", + "17 1\n", + "11 1\n", + "10 1\n", + "41 1\n", + "40 1\n", + "49 1\n", + "Name: tv_age, dtype: int64" + ] + }, + "execution_count": 136, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "characters.tv_age.value_counts()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Йерархични индекси" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Поддържат се и йерархични индекси:" + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "a 1 -0.289566\n", + " 2 -0.205019\n", + " 3 0.962673\n", + "b 1 0.714998\n", + " 3 0.060588\n", + "c 1 -0.699749\n", + " 2 1.875907\n", + "d 2 -0.172063\n", + " 3 -1.295347\n", + "dtype: float64" + ] + }, + "execution_count": 137, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = pd.Series(np.random.randn(9),\n", + " index=[['a', 'a', 'a', 'b', 'b', 'c', 'c', 'd', 'd'],\n", + " [1, 2, 3, 1, 3, 1, 2, 2, 3]])\n", + "data" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Индекс обекта е малко по-особен:" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "MultiIndex(levels=[['a', 'b', 'c', 'd'], [1, 2, 3]],\n", + " labels=[[0, 0, 0, 1, 1, 2, 2, 3, 3], [0, 1, 2, 0, 2, 0, 1, 1, 2]])" + ] + }, + "execution_count": 138, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.index" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Индексиране на редица с йерархичен индекс връща редицата на вложения индекс:" + ] + }, + { + "cell_type": "code", + "execution_count": 139, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1 0.714998\n", + "3 0.060588\n", + "dtype: float64" + ] + }, + "execution_count": 139, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['b']" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`unstack` обръща йерархичния индекс до измерение на таблицата:" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " data1 key data2\n", + "0 0.0 b 1.0\n", + "1 1.0 b 1.0\n", + "2 6.0 b 1.0\n", + "3 2.0 a 0.0\n", + "4 4.0 a 0.0\n", + "5 5.0 a 0.0\n", + "6 3.0 c NaN\n", + "7 NaN d 2.0" + ] + }, + "execution_count": 152, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.merge(df1, df2, how='outer')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Matplotlib\n", + "\n", + "Следва кратък и непълен пример в matplotlib." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`plot` чертае функция:" + ] + }, + { + "cell_type": "code", + "execution_count": 153, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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P5dQBfA8xBQBokY92lCs9I0u5B45p0qBILZg7VMm9OXUA30VMAQCaZe/RGt2XmaPML/cr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\ndiKoAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "data = np.arange(10, 20)\n", + "plt.plot(data);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`plot` приема два аргумента – $x$ и $f(x)$:" + ] + }, + { + "cell_type": "code", + "execution_count": 154, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "xs = np.arange(10)\n", + "ys = 2 ** xs" + ] + }, + { + "cell_type": "code", + "execution_count": 155, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])" + ] + }, + "execution_count": 155, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "xs" + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1, 2, 4, 8, 16, 32, 64, 128, 256, 512])" + ] + }, + "execution_count": 156, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ys" + ] + }, + { + "cell_type": "code", + "execution_count": 157, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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IcNW1QXk9RisXl7iOkjQoyQAAAAnMWquaQEgXzi5QQU666zhJg5IMAACQwAINbdpzoEur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\nAAAAwBCUZAAAAGCI/x+cveZFugDiWgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 8))\n", + "plt.plot(xs, ys);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Тая функция е малко ръбата, затова е по-добре да ползваме `linspace`:" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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GmbJxGijPAAAASerpbbVKT/Fq9dwJbkeJG5RnAACAJBQMWT2zrV5r5hcr3c+UjZGiPAMA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\n8gwAAACM0P8D6FTDD3TPFI0AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xs = np.linspace(0, 10, 100)\n", + "ys = 2 ** xs\n", + "plt.figure(figsize=(12, 8))\n", + "plt.plot(xs, ys);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`scatter` пък рисува точки:" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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с `rc`:" + ] + }, + { + "cell_type": "code", + "execution_count": 162, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "plt.rc('figure', figsize=(12, 8))" + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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eHOx7NsPm6cs80qOtq+ptSc4kOdXdfzuh2mbVbh8H/lCSb9vXimbbTvP1hiRf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\nAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(points[:, 0], points[:, 1], color=\"red\");" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Повечето може да подавате цветове и стил:" + ] + }, + { + "cell_type": "code", + "execution_count": 164, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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GAK6hCfBn9lbMnyJ2jwIAbC3BeBdyhBQAwNYTjHchu0cBALaeYLzLOEIKAGB7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\nDAAASQRjAABIkvz//qThJl2ZLL0AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(points[:, 0], points[:, 1], marker='^', color='green', s=200);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има и къс запис:" + ] + }, + { + "cell_type": "code", + "execution_count": 165, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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hnHMaOnSo7yhRga3qAAAA4tjAgQOVnJysjh07+o4SFSjPAAAAcWzAgAEaMGCA7xhRg2Ub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\nOefecs4tC/5s6zNjbSjPe3DOJUp6WNJ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xs = np.linspace(0, 10, 30)\n", + "ys = 2 ** xs\n", + "plt.plot(xs, ys, 'ko--');" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да нарисувате много неща наведнъж. При `%matplotlib inline` всички неща от една клетка ще се начертаят в една фигура." + ] + }, + { + "cell_type": "code", + "execution_count": 166, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "a = np.random.rand(10, 2)\n", + "b = np.random.rand(10, 2)\n", + "c = np.random.rand(10, 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 167, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(a[:, 0], a[:, 1], marker='+', c='g', s=100)\n", + "plt.scatter(b[:, 0], b[:, 1], marker='*', c='r', s=150)\n", + "plt.scatter(c[:, 0], c[:, 1], marker='o', c='c', s=50)\n", + "plt.grid();" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да чертаем и хистограми:" + ] + }, + { + "cell_type": "code", + "execution_count": 168, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(np.random.randn(3000), bins=40, color='k', alpha=0.3);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да съпоставим и хистограмата с едно нормално разпределение:" + ] + }, + { + "cell_type": "code", + "execution_count": 169, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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zTjM7OO22ejP7iZkdTT6PJ283M/tzMztmZvvN7LZMhgeQfw72mso4ZQ9pcGON\nVBaLTt8DgLmazUry1yQ9kHLb70p6zN03SHos+bokvV/ShuTTpyR9MT0xARSChEsHeqWb41IJj3Nh\ngYpj0k3x5IWgPDABYI5m/DHk7k9L6k25+WFJX0++/HVJH5p2+9965AVJdWbWnK6wAPLbmUHp4hij\nFkif1rirf8x0dih0EgC5Zr5rNcvcvSP58nlJy5Ivr5R0etr9ziRvexMz+5SZ7TKzXV1dXfOMASCf\n7O81mVyt8dBJkC82J/8vtacu9QDADBb8gKa7u6Q5L/u4+5fcfYe772hqalpoDAB54ECvdEONtKQk\ndBLki5pSaXWV6wBzyQDmaL4l+cLUGEXyeWfy9rOSVk27X0vyNgC4ru4R6dyQ6RZGLZBmW+tdJwdN\n/aOhkwDIJfMtyT+Q9Inky5+Q9P1pt/96cpeLOyVdnDaWAQDXdDD5cDhHUSPdtjZEzw8wcgFgDmaz\nBdy3JD0vaZOZnTGz35T0R5Lea2ZHJb0n+bokPSLpdUnHJH1Z0m9lJDWAvHOg17S8wtVUEToJ8s3y\nCmlpuWs/IxcA5qB4pju4+0ev8ab7rnJfl/TphYYCUFiGJqRjF6X7rnqZL7AwZtFq8uPnov9rlTP+\n5AMATtwDkAUO9UkJmW5pYB4ZmbG13pVw06G+0EkA5ApKMoDgDvSaqktca6pCJ0G+WlMt1ZS49vcw\ncgFgdijJAIKaSEQrya1xKUZ/QYbELLoo9FCfNJ4InQZALqAkAwjq2CVpZJJRC2Te1gbXaML0Sn/o\nJAByASUZQFAHek0lMdem2tBJkO821ErlRexyAWB2KMkAgkm4tL9HuqlOKi0KnQb5riQWHVN9sDf6\nvwcA10NJBhDMqUGpf8y0jVELLJKt9a6BcdPxgdBJAGQ7SjKAYPb1mGLmauWUPSySzXGpyNjlAsDM\nKMkAgnCX9vVIG2s53AGLp6I4+j+3v1eKzr8CgKujJAMI4tyQ1DXCqAUW360Nru4R0ysXmLkAcG2U\nZABB7OsxmVy3MGqBRXZLvWRy/bj9QugoALIYJRlAEHt7pBtqpJrS0ElQaGpKpbXV0o8PnQ8dBUAW\noyQDWHSdw1LHkOlWRi0QyNZ618Gzl3Smbyh0FABZipIMYNHt7Yme39oQNgcK19bk/72fHGLkAsDV\nUZIBLLp9PabVVa54WegkKFRLK6QNS6v0aDsjFwCujo2XACyq3lHp1KDpg2sSoaOgwK0vHdCPX5e+\n+d02Vc/am6ZCAAAbLklEQVRyNn7nzp2ZDQUga7CSDGBR7WfUAllie6PLZdrXEzoJgGxESQawqPb1\nmFZUupZWhE6CQreiUlpa7nqZ0/cAXAUlGcCiuTQmvXaJVWRkBzNpe6N09KI0MBY6DYBsQ0kGsGgO\n9EouTtlD9tg2NXLRGzoJgGxDSQawaPb2mJrKXc2VoZMAkZWVUlO56+VuRi4AXImSDGBRDE1Ir16M\nRi2MPoIsccXIxXjoNACyCSUZwKI40CslnFP2kH22N0QjF/vZ5QLANJRkAItiX4+prtS1pip0EuBK\nK5dEIxd7GLkAMA0lGUDGDU9Ih/ukbYxaIAuZSdsYuQCQgpIMIOP290oTbrqtiVELZKfbGLkAkIKS\nDCDj9nSb6stcaxm1QJaaGrlglwsAUyjJADKq9/KYjvRLtzUyaoHsNX3kYpCRCwCiJAPIsB8dPK+E\nm25vZNQC2W17gysh0z5GLgCIkgwgw9r2ndPSCtfKJaGTANfXskRqLHft7eEhDwBScegAAHJLW1vb\nrO97cUx64XXTA6sYtUD2M5O2N0iPnY1GLqpKQicCEBIryQAy5uVuyWW6jVEL5IjtjdHIBbtcAKAk\nA8iYPd2mlUtcyytDJwFmZ2rk4mVGLoCCR0kGkBE9I9LxAVaRkVumRi5e7edgEaDQUZIBZMSe7uj5\n7Y1hcwBzdXtTNHLxcnfoJABCoiQDyIg93aa11a6G8tBJgLlZUSk1V7p2dzFyARQySjKAtDs/JJ25\nzN7IyE1m0u2NrtcHTL0jodMACIWSDCDt9nRLJtf2htBJgPm5vSl6vpuRC6BgUZIBpJV7NGpxY41U\nWxY6DTA/jeXS2mrXLkYugIJFSQaQVmeHpAvDptuaGLVAbtvR6Do3ZOoYCp0EQAiUZABptafLFJNr\nG6MWyHHbG6OxIS7gAwoTJRlA2rhHM5yb6jjSF7mvpjT6v7yrK/q/DaCwUJIBpM3rA1LvqOl2Ri2Q\nJ3Y0uXpGTccHQicBsNgoyQDS5qVOU2mMUQvkj1vrpdKY68VORi6AQkNJBpAW44lo67dbG6SyotBp\ngPQoL5a2NkT/t8cTodMAWEyUZABpcbBXGp403bGUUQvklzuaXMOTpvbe0EkALCZKMoC0eLHTVFvq\n2lgbOgmQXpvqpJoS14vscgEUFEoygAUbGJcO9Us7mqQYPQJ5JmbSW5qk9j6p9/JY6DgAFklx6AAA\nct+eLinhpjuaGNpEfnrLUtdj52L6j994VO9qntv77ty5MzOhAGQUK8kAFuzFLlPLEteKJaGTAJmx\ncom0conrJXa5AAoGJRnAgnQMSacGTW9hb2TkuTuaXCcHTec5phooCJRkAAvy8wummLne0hQ6CZBZ\nO5qkmFwvsJoMFARKMoB5m0xIL3ZJrXGpujR0GiCzakqlLfXSi53R/30A+Y2SDGDeDvVJA+OmO5cx\naoHC8LalroFx06H+0EkAZBq7WwAFrK2tbUHv/3ynqbrEtTmepkBAltscl6pLXC9cMN1Szy+HQD5j\nJRnAvFwak9p7pTuWSkWMaKJAFMWkO5qkg33SAFsmA3mNkgxgXl7qkhIy3ckx1Cgwb13mSrjppa7Q\nSQBkEiUZwJy5Sy9cMK2tdi2vDJ0GWFzNldLaKtfzF0zO74hA3qIkA5izEwPS+WFWkVG47lzmOj9s\nOjEYOgmATOHCPQBz9twFU1nMdXtj6CRAGLc3St877vrZedO66uv/sjifC2Q5yhoIj5VkAHMyNCHt\n6Y4OVijn12wUqPLi6Gtgd3f0NQEg/1CSAczJS13SeMJ013JGLVDY7lruGk+YdnEBH5CXKMkAZs1d\neu68aXWVa1VV6DRAWKurpFVLXM+d5wI+IB9RkgHM2okBqWPI9HZO2AMkRavJ54a4gA/IR5RkALP2\nbPKCvR1NoZMA2eH2RqksFq0mA8gvlGQAszI0Ib2cvGCvrCh0GiA7TF3At4cL+IC8Q0kGMCsvXIgu\n2HsHF+wBV5i6gO/nnaGTAEgnSjKAGSVceua8aX21q4UL9oArrKqS1lW7nukwJfgdEsgblGQAMzrc\nL3WPmO5upgEAV3N3s6trxHSkP3QSAOlCSQYwo6c7TNUlrlsbQicBstO2Bqm6xPV0BxfwAfmCkgzg\nurqGpcN90l3LpWK+YwBXVRyT7lomHeqTukdCpwGQDvzIA3Bdz543mUnvYG9k4LruWu4ySc+ymgzk\nhQWVZDM7YWYHzGyvme1K3lZvZj8xs6PJ5/H0RAWw2MYmpecvSLfWS7VlodMA2a2uTLq1QXq+M/ra\nAZDb0rGS/G533+buO5Kv/66kx9x9g6THkq8DyEEvdkrDk1ywB8zW3c2uoQnTi12hkwBYqEyMWzws\n6evJl78u6UMZ+BgAMizh0hMdplVLXDfUhE4D5IYbaqRVS1xPnmM7OCDXLbQku6Qfm9luM/tU8rZl\n7t6RfPm8pGUL/BgAAjjUJ3UOm+5d6TJGLIFZMZPevcJ1Ydh0uC90GgALsdCS/A53v03S+yV92szu\nnv5Gd3dFRfpNzOxTZrbLzHZ1dfG4FJBtnjhnqit1bWfbN2BOtjdKdaWux8/x2yWQyxZUkt39bPJ5\np6R/lHSHpAtm1ixJyedXPajT3b/k7jvcfUdTU9NCYgBIszOD0qsXTe9qdhWxBw4wJ8WxaDb51Yum\nM5dDpwEwX/P+8WdmS8yseuplSe+TdFDSDyR9Inm3T0j6/kJDAlhcT5wzlcZcb18eOgmQm+5aLpXG\nXE+wmgzkrIWsES2T9KyZ7ZP0oqR/dvcfSfojSe81s6OS3pN8HUCOuDgq7e6W3rZMqiwOnQbITZXF\n0p3LpN1d0sWx0GkAzMe8fwS6++uSbr3K7T2S7ltIKADhPNkRXZX/LrZ9AxbknmbXMx2mJ8+ZHl7L\n1xOQa5g2BPALQxPSs+ejC4+aKkKnAXJbU0X0tfTs+ehrC0BuoSQD+IVnOqSRSdN7W1j1AtLhvStd\nI5OmZzpmvi+A7EJJBiApOkb3yXOmzXFXy5LQaYD80FIlbY67nuwwjqoGcgyX5QB5oq2tbUHv/3yn\nNDhheu/KRJoSAZCi1eQ/OxjTC52uu5tDpwEwW6wkA9BkQnrsrGl9tevG2tBpgPxyQ420rtr12FnT\nJL+DAjmDkgxAL3VJfaPMIgOZYCa9r8XVO2ra1R06DYDZoiQDBW7SpUfPmFqWuLbEQ6cB8tOWuNSy\nxPXoadMkv4sCOYGSDBS4lzql7hHTg6tcxuFgQEaYSe9f5eoaMe3qCp0GwGxQkoECNpmIVpFXLXG1\n1odOA+S3W+qj1eQfsZoM5ARKMlDAXuqKVpHfv5pVZCDTzKQHV7m6R0wvdYZOA2AmlGSgQF2xisws\nMrAoWuulVUtcj55hNRnIdpRkoEC9mFxFfpBVZGDRmEnvXx2tJr/IajKQ1SjJQAEam5QeOWVaW8WO\nFsBia41La6pcj5ziFD4gm1GSgQL0dIfUP2b64FpWkYHFZiY9vNbVP2Z65nzoNACuhZIMFJihCekn\nZ02b464NnK4HBLGhVrq5zvXjM6ahidBpAFwNJRkoMD89YxqekHau4aohIKQPrnENTZh+epaHc4Bs\nREkGCsjFUenJDun2JqllSeg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kn5n9ZzM7Ymb7zewfzawudCakj5k9YGavmNkxM/vd0HmQ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\nyN96/xiKopFkAAAYSQYAgAnd0OodGHoVbAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xs = np.linspace(-5, 5, 200)\n", + "ys = (1 / np.sqrt(2)) * np.exp(- xs ** 2 / 2)\n", + "plt.hist(np.random.randn(3000), bins=40, color='k', alpha=0.3)\n", + "plt.plot(xs, ys * 300);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Една фигура може да съдържа други subplot-ове:" + ] + }, + { + "cell_type": "code", + "execution_count": 170, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Vvba7f7CtVS3XTUnu6O6/qqrfyuy71V/T3f+23YUBwLlY9hnls3n8dZ7v8dcX\nkEXmnKp6c5L3JjnU3T9eUW3LstWcL0vymiRfrKpvJrk2yfoFfEPfIu/xqSTr3f2T7v5Gkq9nFpwv\nVIvM+eYkdyVJd385yYuT7F5Jddtnof/vAFyYlh2Ud+Ljr7ecc1W9LslHMwvJF/q1q8kWc+7uZ7p7\nd3df2d1XZnZd9qHuPrE95Z63RX6vP5vZ2eRU1e7MLsV4fJVFTmyROX8ryZuSpKpenVlQPr3SKldv\nPcnb599+cW2SZ7r7O9tdFADTWOqlFzvx8dcLzvmDSX4pyafn9y1+q7sPbVvR52nBOV80Fpzv3Ul+\np6oeSfL/kvxpd1+wn5QsOOf3JPmfVfU/Mrux7x0X+B+9qapPZfYHz+75tdd/keQXkqS7P5LZtdg3\nJDmZ5IdJ/mB7KgVgGTyZDwAABjyZDwAABgRlAAAYEJQBAGBAUAYAgAFBGQAABgRlAAAYEJQBAGBA\nUAYAgIH/DxmeK9HLNp9DAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax1 = fig.add_subplot(2, 2, 1)\n", + "ax2 = fig.add_subplot(2, 2, 2)\n", + "ax3 = fig.add_subplot(2, 2, 3)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Първите два аргумента (`2, 2`) са колко subplot-а да има хоризонтално и вертикално. Третия е индекса, който искаме да създадем:" + ] + }, + { + "cell_type": "code", + "execution_count": 171, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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YmtaOPYckiWCMQuQxU3yOpElJf2X7JZIOSLoyIv5vDmMDAFYoIi6bZ/P1hReCwtR5pnX3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\nbB+x/aDtq8uuZ7lsP2T7kO2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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax1 = fig.add_subplot(2, 2, 1)\n", + "ax2 = fig.add_subplot(2, 2, 2)\n", + "ax3 = fig.add_subplot(2, 2, 3)\n", + "ax1.hist(np.random.randn(100), bins=20, color='r', alpha=0.5)\n", + "ax2.scatter(np.arange(30), np.arange(30) + 3 * np.random.randn(30))\n", + "ax3.plot(np.random.randn(30).round().cumsum(), 'k-', drawstyle='steps-post');" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "За последно, нека видим и примера с интеграцията от по-рано:" + ] + }, + { + "cell_type": "code", + "execution_count": 172, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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u254BwGuVntcyxiw0xsw3xmiV7FBs3Aj9+7vtUaM0a79Igis+7zwKunYlpbCQ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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "func = np.sin\n", + "a, b = np.pi / 2, np.pi\n", + "x = np.linspace(-0.2, np.pi * 1.5 + 0.2)\n", + "y = func(x)\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "plt.plot(x, y, 'r', linewidth=2)\n", + "plt.grid()\n", + "\n", + "ax.axhline(y=0, color='k')\n", + "ax.axvline(x=0, color='k')\n", + "\n", + "ax.xaxis.set_ticks(np.arange(0, 5, np.pi / 4))\n", + "\n", + "ix = np.linspace(a, b)\n", + "iy = func(ix)\n", + "verts = [(a, 0)] + list(zip(ix, iy)) + [(b, 0)]\n", + "poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')\n", + "ax.add_patch(poly)\n", + "\n", + "ax.annotate(r'$\\frac{\\pi}{2}$', (np.pi / 2, 0), xytext=(0, -20), textcoords='offset points', size='x-large')\n", + "ax.annotate(r'$\\pi$', (np.pi, 0), xytext=(0, -20), textcoords='offset points', size='x-large');" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "От тук нататък, най-добрия начин да научите повече за matplotlib е да гледате примери и да ровите из документацията. Обикновено имате конкретен проблем, който искате да решите, и това работи най-добре.\n", + "\n", + "Освен ако не искате да налеете 20-40 часа да разберете всичко в детайли, което също не е лошо." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Seaborn\n", + "\n", + "Тази библиотека дава интерфейс от по-високо ниво за чертане на диаграми. Също, има интеграция с pandas." + ] + }, + { + "cell_type": "code", + "execution_count": 173, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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U4JxcX1mk7sExvX6g3XUUAA5QjAGcs+dqWiRJV1GMEeHWzM5RaoJPT+7kdAog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\n9PMNtfrNWw0aGA2oPDtJ719UqHmFafI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" + ], + "text/plain": [ + " x y\n", + "0 1.055697 3.541870\n", + "1 -1.413159 0.530746\n", + "2 0.419960 1.798398\n", + "3 -0.224002 1.217762\n", + "4 1.104733 0.117408" + ] + }, + "execution_count": 174, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean, cov = [0, 1], [(1, .5), (.5, 1)]\n", + "data = np.random.multivariate_normal(mean, cov, 200)\n", + "df = pd.DataFrame(data, columns=[\"x\", \"y\"])\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 175, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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4RLzpTW+Kb3/72/HII4/Em9/85jjvvPPit3/7t2Pnzp1x9tlnx86dO+PBBx9c8/O+973v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\nV9U1VfV4Vd069FwAcBj4EGGAGVNVn0lydZKFJOd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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.jointplot(x=\"x\", y=\"y\", data=df, size=12);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Seaborn има собствени идеи за добре изглеждащи диаграми. Може да ги включите така:" + ] + }, + { + "cell_type": "code", + "execution_count": 176, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "sns.set()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Вече нещата ще изглеждат малко по-различно:" + ] + }, + { + "cell_type": "code", + "execution_count": 177, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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X9hC65rqdW9MeQk1mpIC6Ng4PxqbRwZrHxkaGYuNw7WNAZ/hMAmSDIAXUNTjQ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\nse4fxLPFpU1/wM97Ol4rsOsKAJ1JkIKcrIwW/+P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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.jointplot(x=\"x\", y=\"y\", data=df, size=12);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Pairplot\n", + "\n", + "Pairplot-а е много удобен начин да разглеждате зависимости между feature-и. За това е подходящ един от стандартните dataset-и, iris. Има го в sklearn, но ще го вземем през seaborn, където е в по-добра форма:" + ] + }, + { + "cell_type": "code", + "execution_count": 178, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "iris = sns.load_dataset(\"iris\")" + ] + }, + { + "cell_type": "code", + "execution_count": 179, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
1177.73.86.72.2virginica
24.73.21.30.2setosa
1126.83.05.52.1virginica
75.03.41.50.2setosa
665.63.04.51.5versicolor
965.72.94.21.3versicolor
1326.42.85.62.2virginica
435.03.51.60.6setosa
175.13.51.40.3setosa
45.03.61.40.2setosa
64.63.41.40.3setosa
1246.73.35.72.1virginica
1307.42.86.11.9virginica
935.02.33.31.0versicolor
244.83.41.90.2setosa
1406.73.15.62.4virginica
124.83.01.40.1setosa
686.22.24.51.5versicolor
786.02.94.51.5versicolor
114.83.41.60.2setosa
\n", + "
" + ], + "text/plain": [ + " sepal_length sepal_width petal_length petal_width species\n", + "117 7.7 3.8 6.7 2.2 virginica\n", + "2 4.7 3.2 1.3 0.2 setosa\n", + "112 6.8 3.0 5.5 2.1 virginica\n", + "7 5.0 3.4 1.5 0.2 setosa\n", + "66 5.6 3.0 4.5 1.5 versicolor\n", + "96 5.7 2.9 4.2 1.3 versicolor\n", + "132 6.4 2.8 5.6 2.2 virginica\n", + "43 5.0 3.5 1.6 0.6 setosa\n", + "17 5.1 3.5 1.4 0.3 setosa\n", + "4 5.0 3.6 1.4 0.2 setosa\n", + "6 4.6 3.4 1.4 0.3 setosa\n", + "124 6.7 3.3 5.7 2.1 virginica\n", + "130 7.4 2.8 6.1 1.9 virginica\n", + "93 5.0 2.3 3.3 1.0 versicolor\n", + "24 4.8 3.4 1.9 0.2 setosa\n", + "140 6.7 3.1 5.6 2.4 virginica\n", + "12 4.8 3.0 1.4 0.1 setosa\n", + "68 6.2 2.2 4.5 1.5 versicolor\n", + "78 6.0 2.9 4.5 1.5 versicolor\n", + "11 4.8 3.4 1.6 0.2 setosa" + ] + }, + "execution_count": 179, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "iris.sample(20)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Това са категориите:" + ] + }, + { + "cell_type": "code", + "execution_count": 180, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "virginica 50\n", + "setosa 50\n", + "versicolor 50\n", + "Name: species, dtype: int64" + ] + }, + "execution_count": 180, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "iris.species.value_counts()" + ] + }, + { + "attachments": { + "iris.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ето това са feature-ите:\n", + "\n", + "![iris.png](attachment:iris.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 181, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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MAkORsAVmWSksv/sfTJ/tgrK6BtqWFjgNBvicTrjHxqHaXBdwuVGpaNAgViWR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3V/KuMRNu/lM046lp7hQhyScWC5GVIeH0OmQrpCjSKsL2RJy6MILBMTuMQ1P4uHOUt7fTNGzD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\nM7Q5Y3Q81eVsfbdDY2t3R8P2dxx2m1h4enqiuPj2GjyLxQJXV9cqnysuLq4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survivedpclasssexagesibspparchfareembarkedclasswhoadult_maledeckembark_townalivealone
003male22.0107.2500SThirdmanTrueNaNSouthamptonnoFalse
111female38.01071.2833CFirstwomanFalseCCherbourgyesFalse
213female26.0007.9250SThirdwomanFalseNaNSouthamptonyesTrue
311female35.01053.1000SFirstwomanFalseCSouthamptonyesFalse
403male35.0008.0500SThirdmanTrueNaNSouthamptonnoTrue
503maleNaN008.4583QThirdmanTrueNaNQueenstownnoTrue
601male54.00051.8625SFirstmanTrueESouthamptonnoTrue
703male2.03121.0750SThirdchildFalseNaNSouthamptonnoFalse
813female27.00211.1333SThirdwomanFalseNaNSouthamptonyesFalse
912female14.01030.0708CSecondchildFalseNaNCherbourgyesFalse
1013female4.01116.7000SThirdchildFalseGSouthamptonyesFalse
1111female58.00026.5500SFirstwomanFalseCSouthamptonyesTrue
1203male20.0008.0500SThirdmanTrueNaNSouthamptonnoTrue
1303male39.01531.2750SThirdmanTrueNaNSouthamptonnoFalse
1403female14.0007.8542SThirdchildFalseNaNSouthamptonnoTrue
1512female55.00016.0000SSecondwomanFalseNaNSouthamptonyesTrue
1603male2.04129.1250QThirdchildFalseNaNQueenstownnoFalse
1712maleNaN0013.0000SSecondmanTrueNaNSouthamptonyesTrue
1803female31.01018.0000SThirdwomanFalseNaNSouthamptonnoFalse
1913femaleNaN007.2250CThirdwomanFalseNaNCherbourgyesTrue
\n", + "
" + ], + "text/plain": [ + " survived pclass sex age sibsp parch fare embarked class \\\n", + "0 0 3 male 22.0 1 0 7.2500 S Third \n", + "1 1 1 female 38.0 1 0 71.2833 C First \n", + "2 1 3 female 26.0 0 0 7.9250 S Third \n", + "3 1 1 female 35.0 1 0 53.1000 S First \n", + "4 0 3 male 35.0 0 0 8.0500 S Third \n", + "5 0 3 male NaN 0 0 8.4583 Q Third \n", + "6 0 1 male 54.0 0 0 51.8625 S First \n", + "7 0 3 male 2.0 3 1 21.0750 S Third \n", + "8 1 3 female 27.0 0 2 11.1333 S Third \n", + "9 1 2 female 14.0 1 0 30.0708 C Second \n", + "10 1 3 female 4.0 1 1 16.7000 S Third \n", + "11 1 1 female 58.0 0 0 26.5500 S First \n", + "12 0 3 male 20.0 0 0 8.0500 S Third \n", + "13 0 3 male 39.0 1 5 31.2750 S Third \n", + "14 0 3 female 14.0 0 0 7.8542 S Third \n", + "15 1 2 female 55.0 0 0 16.0000 S Second \n", + "16 0 3 male 2.0 4 1 29.1250 Q Third \n", + "17 1 2 male NaN 0 0 13.0000 S Second \n", + "18 0 3 female 31.0 1 0 18.0000 S Third \n", + "19 1 3 female NaN 0 0 7.2250 C Third \n", + "\n", + " who adult_male deck embark_town alive alone \n", + "0 man True NaN Southampton no False \n", + "1 woman False C Cherbourg yes False \n", + "2 woman False NaN Southampton yes True \n", + "3 woman False C Southampton yes False \n", + "4 man True NaN Southampton no True \n", + "5 man True NaN Queenstown no True \n", + "6 man True E Southampton no True \n", + "7 child False NaN Southampton no False \n", + "8 woman False NaN Southampton yes False \n", + "9 child False NaN Cherbourg yes False \n", + "10 child False G Southampton yes False \n", + "11 woman False C Southampton yes True \n", + "12 man True NaN Southampton no True \n", + "13 man True NaN Southampton no False \n", + "14 child False NaN Southampton no True \n", + "15 woman False NaN Southampton yes True \n", + "16 child False NaN Queenstown no False \n", + "17 man True NaN Southampton yes True \n", + "18 woman False NaN Southampton no False \n", + "19 woman False NaN Cherbourg yes True " + ] + }, + "execution_count": 183, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "titanic.head(20)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Другия е за бакшиши:" + ] + }, + { + "cell_type": "code", + "execution_count": 184, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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total_billtipsexsmokerdaytimesize
016.991.01FemaleNoSunDinner2
110.341.66MaleNoSunDinner3
221.013.50MaleNoSunDinner3
323.683.31MaleNoSunDinner2
424.593.61FemaleNoSunDinner4
525.294.71MaleNoSunDinner4
68.772.00MaleNoSunDinner2
726.883.12MaleNoSunDinner4
815.041.96MaleNoSunDinner2
914.783.23MaleNoSunDinner2
1010.271.71MaleNoSunDinner2
1135.265.00FemaleNoSunDinner4
1215.421.57MaleNoSunDinner2
1318.433.00MaleNoSunDinner4
1414.833.02FemaleNoSunDinner2
1521.583.92MaleNoSunDinner2
1610.331.67FemaleNoSunDinner3
1716.293.71MaleNoSunDinner3
1816.973.50FemaleNoSunDinner3
1920.653.35MaleNoSatDinner3
\n", + "
" + ], + "text/plain": [ + " total_bill tip sex smoker day time size\n", + "0 16.99 1.01 Female No Sun Dinner 2\n", + "1 10.34 1.66 Male No Sun Dinner 3\n", + "2 21.01 3.50 Male No Sun Dinner 3\n", + "3 23.68 3.31 Male No Sun Dinner 2\n", + "4 24.59 3.61 Female No Sun Dinner 4\n", + "5 25.29 4.71 Male No Sun Dinner 4\n", + "6 8.77 2.00 Male No Sun Dinner 2\n", + "7 26.88 3.12 Male No Sun Dinner 4\n", + "8 15.04 1.96 Male No Sun Dinner 2\n", + "9 14.78 3.23 Male No Sun Dinner 2\n", + "10 10.27 1.71 Male No Sun Dinner 2\n", + "11 35.26 5.00 Female No Sun Dinner 4\n", + "12 15.42 1.57 Male No Sun Dinner 2\n", + "13 18.43 3.00 Male No Sun Dinner 4\n", + "14 14.83 3.02 Female No Sun Dinner 2\n", + "15 21.58 3.92 Male No Sun Dinner 2\n", + "16 10.33 1.67 Female No Sun Dinner 3\n", + "17 16.29 3.71 Male No Sun Dinner 3\n", + "18 16.97 3.50 Female No Sun Dinner 3\n", + "19 20.65 3.35 Male No Sat Dinner 3" + ] + }, + "execution_count": 184, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tips.head(20)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има boxplot, който показва дистрибуция и стандартно отклонение:" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.boxplot(x=\"day\", y=\"total_bill\", hue=\"time\", data=tips);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "barplot е ясен:" + ] + }, + { + "cell_type": "code", + "execution_count": 186, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.barplot(x=\"sex\", y=\"survived\", hue=\"class\", data=titanic);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "`regplot` чертае линейни зависимости:" + ] + }, + { + "cell_type": "code", + "execution_count": 187, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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3E4qXCcuSdPXiSFWX11PatHX9VlSf+/Lb+nefeU1//rV5vX3vSVj2egw9e35A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\nLjfshU1E1aasm/527dqFPXv2oLu7O3nbM888A7c7dz1ctf8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" + ], + "text/plain": [ + " A B C D\n", + "0 1.382121 0.797927 -0.275731 -2.281736\n", + "10 0.724111 1.194148 -1.667422 -2.176403\n", + "20 0.016842 1.993811 -1.492402 -2.224131\n", + "30 -1.032063 1.173535 -1.239450 -3.940368\n", + "40 -2.380780 2.762383 -2.010530 -2.965605\n", + "50 -1.399095 3.258019 -2.421064 -3.285662\n", + "60 -0.227172 3.042748 -2.845517 -4.451330\n", + "70 -1.753389 3.057588 -3.340771 -5.416326\n", + "80 -3.023343 3.078835 -3.206913 -3.916869\n", + "90 -2.855079 2.318328 -5.205434 -4.017397" + ] + }, + "execution_count": 188, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.DataFrame(np.random.randn(10, 4).cumsum(0),\n", + " columns=['A', 'B', 'C', 'D'],\n", + " index=np.arange(0, 100, 10))\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 189, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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O7tPY1DinWs9yrPk0w1MjWEwWNkXlsjdhFxE+YU6r663uNgy79TIJEXFP5T1V/Kj8OQzD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\nI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/JN7vy+7+vu/u/cVTZ227ztxHsX6tqME4MzOTUCgUedzc3Exa2u9/7Ouvv2bR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\nWmp7+4ir7OysRJfQpq5en5QofjYkSdc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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df.plot.barh(stacked=True);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Това може да се комбинира със ванила matplotlib:" + ] + }, + { + "cell_type": "code", + "execution_count": 193, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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dqtjocLPjAOcVHubQFSOT9fGOEm3OL9X1V/SXjWuTcR70fAIAAFjUB1uPSZK+\nMqG/yUmAC8vo61ZmX5fKa05rf3GN2XFgUfR8Aui1Xn5sutkRAOBLHTpRq8ITdRozOEn9kmLMjgO0\naeLIvjpZ2aAd+yuUkexWdCSlBs5GzycAAIAFfbjlTK/nrIkZJicB2icqwqmcYR41twS1dV+p2XFg\nQRSfAAAAFlNec1q5B8qV0del4RnxZscB2m1oepw88ZEqKvXqeJnX7DiwmA4Vn/X19frud7+ru+66\nS3PmzNGOHTs6OxcAAECv9dG2YhmGNGtCBhO3oFux2WyaNCpFNpv0+d5SNQeCZkeChXSo+Fy2bJkm\nTZqkP/zhD3r22We1aNGizs4FAADQKzU0NmvjrpNKcEdowohks+MAFy3BHaFRAxLlawxoV2GF2XFg\nIR26Cvjuu+9WePiZ6b5bWloUERHRqaEAAAB6q/U7S9Tkb9GNkwfI6eAKKXRPY4Yk6eipeu09Wq1B\nqbFKcEeaHQkW0OY72htvvKEbbrjhrH9Hjx5VZGSkysvLtWDBAj3yyCNdkRUAAKBHC7QEtXrbcUWE\nOXR1dqrZcYAOczrsumJksgxD+mxPqQzDMDsSLKDNns/bbrtNt9122znb9+/fr0ceeUQ/+tGPNHHi\nxDZPlJAQLafT0bGUX8LjcXfKfULJ6hmtnq+95++KjOc7h+etledsW/Po2+06tqscaOf9zMrY3nyS\n9TN2Vb7zncdKGa2eD7CybQVlqq5v0oxx6YqJDDM7DnBJ0jwuZfZ1qajUq0MnanXt2HSzI8FkHRp2\ne+jQIf3Hf/yHfvWrX2n48OHtOqa6uqEjp/pSHo9b5eX1bd6vPfcJFatntHo+yVoZz3cOK+W7VGS8\ndF2V71LOY9ZrJRTHUqiipzEMQx9sKZZN0swJ/c2OA3SKCSOSdaLCp9z95Zo73S93dLjZkWCiDl1I\nsGTJEvn9fv385z/XvHnzdP/993d2LgAAeq1gMKiFCxdqzpw5mjdvnoqKis65T1VVlWbNmqWmpiZJ\nUmNjo773ve/pzjvv1L333quqqqqujo1LdKC4RkWl9crJ8ig5PsrsOECniI4MU/aQPvI3B/XnjwvN\njgOTdajnc+nSpZ2dAwAA/N3q1avl9/u1fPly5eXlafHixWf97d24caOWLFmi8vLy1m2vvfaasrKy\n9L3vfU/vvvuuXnzxRT355JNmxEcHfbClWJI0a2KGyUmAzjU8M0GFJXXauOukpo5J1ZD0OLMjwSQd\nKj7RcfdMIUHMAAAgAElEQVQ/do3ZEQAAFpebm6upU6dKkrKzs5Wfn3/WfrvdrmXLlukb3/jGWcd8\n5zvfkSRNmzZNL774YtcFxiU7VdWgnYcqNCg1VoPTYs2OA3Qqu92mK0Ym62+fF+t/P9ivn/7beDns\nzOTcG/FbBwDAYrxer1wuV+tth8OhQCDQenvKlClKSEg45xi3+8x1sDExMaqvt/Y10jjbR1uLZehM\nr6fNZjM7DtDpkhOiNXVMPx0v92pN7gmz48Ak9HziLPTMAoD5XC6XfD5f6+1gMCin88J/sr94jM/n\nU2xs271n7ZmJnomd2q+jbVXrbdKm3SeVnBClWZMHytFJa3u6XdZdV9HK2aymJ7XVfd8YqLxDFXrr\nkyO6fspAJcV1/rXNvGe1nxlt1aOKTwonAEBPkJOTo3Xr1mn27NnKy8tTVlZWu45Zv369xowZow0b\nNmjcuHFtHtPWTPTtndEbl9ZWqzYdkT8Q1IycdFVV+do+oJ3qvY2d9lidye2KtGw2q+lpbeU/7dct\n0wbpf/+2X0v/vFP33TSqUx+f96z2C1VbtVXQMuwWAACLmTlzpsLDwzV37lw9++yzevzxx7Vs2TKt\nWbPmS4+54447dPDgQd1xxx1avny5HnrooS5MjI5qDrRoTe5xRUc4ddWYfmbHAUJu2phUDezn1ud7\nS7WvqNrsOOhiParnEwCAnsBut2vRokVnbRs8ePA591u7dm3rz1FRUXr++edDng2d69P8U6pvaNbs\nSZmKiuBjGXo+u92mu74yTE+/sk1/+HC/fnbPRDk7aag5rI93OeA8Xn5sutkRAAA9XNAw9MGWYjns\nNs0Yl252HKDLDOwXq6vHpunjHSf00dZifXVSptmR0EUoPoEebspbK88Z079m8cfmhAEAtNp1qFKn\nqho05bIUJbgjzI4DdKlbpw3StoIyvbXpiK4Y2VeJsT1nYiV8Ofq4AQAATPDBlmOSziyvAvQ2rqgw\n3XbNYPmbg3p97SGz46CLUHwCAAB0sSMn67S/uEajByYq3eNq+wCgB5oypp8Gp8VqW0GZ8o9Umh0H\nXYDiEwAAoIu9//nfez2voNcTvZfdZtNdM4fJZpP++NFBNQeCZkdCiFF8AgAAdKHS6gbl7i9TRl+X\nRmYmmB0HMFVmilvTx6artKpBH249ZnYchBjFJwAAQBf6YEuxDEOaPSlTNpvN7DiA6W6ZNlDu6DC9\nvemoKmsbzY6DEKL4BAAA6CK1Pr8+2XVSfeIiNW6Yx+w4gCVER4bp9muHyB8I6rU1B82OgxCi+AQA\nAOgia3KLFWgJ6vorMuSw8zEM+IfJo1M0JD1O2w+Ua1chkw/1VLzrAQAAdIHTTQGtzT0hd3SYrrqs\nn9lxAEux2Wya95Vhstts+tNHB9QcaDE7EkKA4hMAAKALbNhZooamgK4bl67wMIfZcQDL6Z/s0nXj\n01VWc1rvfcbkQz0RxScAAECIBVqC+nBrsSLCHLo2J93sOIBlff2qgYpzhevdzUUqq24wOw46GcUn\nAABAiG3ec0rV9U2adnmqXFFhZscBLCsqwqm504cq0BLUn1YflGEYZkdCJ3KaHQBA7zblrZUqL68/\nZ/uaxR93fRhctJcfm252BMDygkFD720uksNu06yJ/c2OA1jexBHJ2rCzRLsKK7XjYIVyspgZuqeg\n5xMAACCEthaUqbT6tKZc1k+JsZFmxwEsz2az6a6vZMlht+lPqw+o0R8wOxI6CcUnAABAiAQNQ+9u\nPiqbTZo9KcPsOEC30S8pRl+dlKGquiat2nTU7DjoJAy7BTrZ/Y9dY3YEAIBF7DxUoePlPl05qq+S\nE6LNjgN0KzdcOUCf7SnVR1uLNXlUitKTXWZHwiWi+AQAC+OaSqD7MgxD73xaJEmafeUAc8MA3VB4\nmEN3fSVLv3pjl/73w/167Fs5sttsZsfCJWDYLQAAQAjsLarWkZN1GpflUVqfGLPjAN3SmMF9NG6Y\nR4eO12rTrpNmx8ElovgEAAAIgXf+fp3a1yZnmhsE6ObumDFUEeEOvfFxoeob/GbHwSWg+AQAAOhk\nBUXV2l9co8sGJWlASqzZcYBuLTE2UrdcNVDe081asfaQ2XFwCSg+AQAAOpFhGPrrJ0ckSV+/aqDJ\naYCeYcb4dGX2dWtT/intO1pldhx0kKUmHLpn8dpOfbyLmajjj398RStW/EkrVqxSREREp+YAgFCb\n8tZKlZfXn7VtzeKPzQkD9HIFRdU6UFyjMYOTNCiVXk+gMzjsdn37q8P0f1/Zplc+2K9F90xUeJjD\n7Fi4SPR8/t2HH76vGTO+ojVrPjQ7CgAA6KYMw9Cbf+/1vHkqvZ5AZxqQEqvrxvVXWfVpvbP5qNlx\n0AGW6vk0y/bt25Samq6bb/6GFi1aqNmzbzQ7EhBSrEUKAKGx92i1Dh2vVfaQPlzrCYTALdMGavuB\nMr3/2TFNHNFX6R7W/uxO6PmU9M47b+nGG29WRsYAhYWFac+efLMjAQCAbsYwDP1142FJXOsJhEpk\nuFPf+sowtQQNvfK3AgUNw+xIuAi9vuezrq5OmzdvUnV1lf785+Xy+bz6y1+Wa9So0WZHA2ARXE8J\noD3yj1SpsKROOVkeZaa4zY4D9FjZQ/po/PBkbSso09rc47pufH+zI6Gden3x+eGH7+mGG76uBx/8\nD0lSY2OjbrvtJlVXVyshIcHkdAAAoDsIBg39ZcOZXs+bpgwwNwzQC3xrZpb2Ha3SyvWHlT2kj/rE\nR5kdCe3Q64fdvv32W5o1a3br7cjISF199XS9/fabJqYCAADdyaZdJSo6Va8rRvZVRl96PYFQi4sJ\n19wZQ9XU3KJX/lYgg+G33YKlej4vZmkUj8d9zjC4jnjlldfO2fbDHz52yY8LAAB6h0BLUK++t08O\nu023MMMt0GUmj07R5/tKlX+4Spt2n9ItM5jky+p6fc8nAADApdiws0QnK326JjtNyQnRZscBeg2b\nzaZvzxquiHCHXl9zUFV1jWZHQhsoPgEAADqo0R/Qqk+OKCrCoRu51hPocklxkbrtmsFqaAroxT/v\nZPitxVF8AgAAdNCHW4tV19Csm68eotiYcLPjAL3SNWPTNDwjXp/vOaXNe06ZHQcXQPEJAADQAXUN\nfr3/+TG5o8N089WDzY4D9Fp2m03/NnuEoiIc+uNHDL+1MopPAACADnhr4xE1+Vt04+QBio4MMzsO\n0Kt54qP07zddptNNAS17bx/Dby2K4hMAAOAiFZd59XHeCfVLitY1Y9PMjgNA0leuyNBlg5K052i1\nPs4rMTsOzsNSS608uPZHnfp4/9/0X1xw//bt27Rw4eMaMODMtOh+v18//OFjysoa3qk5AAC4GMFg\nUE899ZT279+v8PBwPf3008rMzGzdv2LFCr3++utyOp26//77de2116qmpkazZs1SVlaWJOm6667T\nt7/9bbOeQo9mGIZeW31AhiHdMWOonA6+yweswGaz6e6vDtfC//lcK9Ye0qgBCcxAbTGWKj7NMG7c\neP3sZ89KkrZs+Uy/+91v9Itf/MrkVACA3mz16tXy+/1avny58vLytHjxYi1dulSSVF5erldffVUr\nV65UU1OT7rzzTk2ZMkV79+7VDTfcoJ/85Ccmp+/5cveXq+BYjS4fnKTRg5LMjgPgCxLcEfrWzCy9\n9PZevfT2Xj32rRy+ILIQfhNfUF9fp/j4BLNjAAB6udzcXE2dOlWSlJ2drfz8/NZ9u3bt0tixYxUe\nHi63262MjAwVFBQoPz9fe/bs0V133aWHH35YZWVlZsXv0fzNLVqx7pAcdpvmzhhqdhwA5zFpVIom\njeyrwyV1WrXpqNlx8AW9vuczN3ebHnpovpqbm3Xo0AE9++wSsyMBAHo5r9crl8vVetvhcCgQCMjp\ndMrr9crtdrfui4mJkdfr1aBBgzR69GhNnjxZq1at0tNPP63nn3/+gudJSIiW0+m44H08HvcF9/c2\nyz/ar4raRt16zRCNHtb3rH1Wayu3K9LsCF/Kytmspie1VVe8Rv5xju/fOU4P/9fHenfzUU3JTtPo\nwX1Cfu7uxoz3rEsqPgsLC3X77bfr008/VURERGdl6lJfHHZ77NhR3XffPfrrX99TRETPeaEDALoX\nl8sln8/XejsYDMrpdJ53n8/nk9vt1pgxYxQVFSVJmjlzZpuFpyRVVzdccL/H41Z5eX1HnkKPVFnb\nqBVrDig2Okwzxqae1TZWbKt6rzWXm3C7Ii2bzWp6WluF+jXyr6/D78weocV/3K5f/mGbfnbPRMUw\nK3WrUL1ntVXQdnjYrdfr1XPPPafw8J6zoHJCAtdtAADMl5OTow0bNkiS8vLyWicRkqQxY8YoNzdX\nTU1Nqq+vV2FhobKysvTkk0/qgw8+kCRt3rxZo0aNMiV7T2UYhl79cL/8zUHddu0QRUX0+sFjgOUN\nSY/TTVMGqKquSa/8bT/Lr1hAh945DcPQT37yEz3yyCN64IEHOjtTl/rHsFuHw6GGBp++970f0Otp\ncfc/do3ZEYBugddK9zVz5kxt2rRJc+fOlWEYeuaZZ7Rs2TJlZGRoxowZmjdvnu68804ZhqEf/OAH\nioiI0KOPPqonnnhCr732mqKiovT000+b/TR6lG37y7WrsFIjMhM0eXSK2XEAtNPXJmdqz9EqbSso\n08cZ8bo2J93sSL1am8XnG2+8oVdeeeWsbampqZo9e7aGD+/cJUnaWhrlizqjqzgnZ7zeeeejS3oM\nAAA6m91u16JFi87aNnjw4Nafb7/9dt1+++1n7e/fv79effXVLsnX2zQ0NutPHx2Q02HX/5k1TDab\nzexIANrJYbfrvptG6allW/XamoMa0C9WA/vFmh2r12qz+Lztttt02223nbVt5syZWrlypVauXKny\n8nLdc889+uMf/3jBx2nPpAYXy2oX9p+P1TNaPZ9k/YxWzydZP2N785n5PNpzbrPb2ezzX8iB82xb\nuOTGLs8BdMSfPy5Urc+vW6cNUt9E1gwEupvE2EjNv3Gk/nvFTr34Zr5++m8T5Iri+k8zdGjY7Ucf\n/bO3cPr06Xr55ZfbPKatSQ0ulhUv7P9XVs9o9XyS9TNaPZ9k/YwXk8+s59HejGa2s9V/z+dzqXmt\nXGyj5zhQXKOP80qU5onR9VdkmB0HQAeNHpSkG6cM0KpNR/U/7+zV9745RnZGMXQ51vkEAAA4D39z\ni175W4Fskr59/XAWqge6uZumDNTIAQnaWVip9z8rMjtOr3TJ76Jr167ttsusAAAAfJk3Pi7UycoG\nzRiXriFpcWbHAXCJ7Hab5t84SgnuCP1lw2HtKqw0O1Kvw1d4AAAA/yL/SKXW5B5Xv6RoffOawW0f\nAKBbiI0J14O3XCaH3a7frsrXyUpf2weh01B8AgAAfIH3dLNefnefHH/vJQkP69wJEwGYa1BqrO6Z\nPVynm1r0/J93ydfYbHakXsNSKyQf+M7d7b9vO+6T9bvft3mfw4cLtXTp82psbNTp06d15ZVTdM89\n85lGHQCAXsgwDP3vB/tV4z0zu21mChNbAT3RpFEpOl7u03ufFek3f83X92+/XA47/XKh1qtbuL6+\nXk899YQefvhR/frXv9Vvf7tMhYWH9NZbK82OBgAATLB5zyltKyjTkLQ4zZ6UaXYcACF067RBunxw\nkvYcrdafVh+UYRhmR+rxenXx+ckn65WTM0H9+5+ZOt3hcOjJJ3+mr33t6yYnAwAAXe14mVf/+8F+\nRYY79J0bRshuZxQU0JPZ7TbNv2mU0j0xWrf9hN5jBtyQ69XFZ0VFuVJT087aFh0drbAwFp0FAKA3\naWgM6IU3d8vfHNS/f22kkhOizY4EoAtERTj1g9uzlRQboZXrD2vT7pNmR+rRenXx2bdvP5WVlZ61\nraTkhPLytpuUCAAAdDXDMPQ/7+5VWfVpffWKDI0b5jE7EoAulOCO0A9uz1ZMpFPL3ivQ7sMswRIq\nvbr4nDLlKn3++ac6ceK4JCkQCOjXv/5vHT5caHIyAADQVd7//Jh2HKzQ8Ix43Xr1ILPjADBBap8Y\nPfzNMXI4bHrxzXwVnqg1O1KPZKnZbrtaTIxL//mfP9Nzzz2tYDCohoYGTZkyVbfc8k2zowG93v2P\nXWN2BAC9wO7DlVq5vlAJ7gh99+ujme0S6MWGpsfrvptG6cU38/VfK/L0w7ljNbBfrNmxehRLFZ/t\nWRrlHzwet8rL6y/5nMOHj9Dzz//mkh8HAAB0L0Wn6vXim/lyOux64ObRio0JNzsSAJPlZHk0/6aR\n+u2qPVryep5+eEe2BqRQgHYWvt4DAAC9TkXNaf3qjZ3yN7do/o0jNTgtzuxIACxi4oi++s4NI3W6\nKaAlr+fpWOmld3jhDIpPAADQq/gam/Xfb+xUrc+vudcN1bhhyWZHAmAxV45K0T1fG6GGxoB++doO\nFZZwDWhnoPgEAAC9RpO/Rb/+8y6drGzQVyb018zx/c2OBMCiplzWT/82e4Qams4UoPnMgnvJKD4B\nAECv0ORv0f/7804dOF6rCcOTdfv0IWZHAmBxV43ppwdvuUzBoPT//rxLn+8tbfsgfCmKTwAA0OM1\n+gP67zd2quBYjcYN8+jeG0fKbrOZHQtAN5CT5dGjcy5XeJhdL63aow+3FsswDLNjdUsUnwAAoEdr\n9Af0qxU7daC4RuOHJ+u+m0bJ6eAjEID2G5aRoB/fmSN3TLheX3NQv3+/QM2BoNmxuh1LLbWydPHH\nnfp4ba0TuH37Ni1c+LgGDBgoSQoEArrttjs0Y8bMTs0BAADMUefz6/mVu3S4pE4TRyTr3htHspYn\ngA7J6OvWT/7PeL3wl93auOukTlY26MFbL1McyzS1m6WKTzOMGzdeP/vZs5KkhoYGPfTQfGVkZGjo\n0GEmJwMAAJfiRIVP/++NnaqobdTk0Sn6t9nDKTwBXJKkuEg9dleOlr23T1v2lWnR77fqgVtGa3Aq\nyzW1B+/AXxAdHa2vf/1WrVu3xuwoAADgEuw5WqVnXs1VRW2jbr5qoP79ayMoPAF0iogwh+67aZS+\nec1g1dQ36dlXt+vtT48qGOQ60LbwLvwvEhMTVVtbY3YMAADQAYZh6KNtxfrVip1qDrTo3htH6qar\nBsrG5EIAOpHNZtPsSZlacMdYxbnC9eaGw/rFaztUVddodjRLo/j8F6dOnZLHw2LTAAB0N/UNfv16\n5W69tvqgoiOd+uHcsbpyVIrZsQD0YMMzE/SzeyZqXJZHB4prtPB/tmjDzhIFmQ33vCg+v8Dn8+rt\nt9/U9OnXmR0FAABchP3HqvXUsq3KO1ShEX//MJjVP97sWAB6AVdUmB64ZbS+ff0wtRiGfv9+gX7x\nx+0qqfCZHc1yev2EQ7m52/TQQ/PlcDjU0tKif//3+5SRMcDsWAAAoB0aGgP6y4ZCrdt+QjabTd+4\nepC+OimTNTwBdCmbzaars9N02aAk/Wn1QW0/UK6fvrxF11+RodmTMhUV0evLLkkWKz7bWhrlizwe\nt8rL6y/pfDk54/XOOx9d0mMAAICuZxiGtuwr0+trDqrW51e/pGj92+wRGpLGjJMAzJMYG6mHbr1M\nOw6U6w8fHdC7m4u0YWeJbpw8QNeMTev1awxbqvgEAABoS2FJrf6y/rD2FVUrzGnXrdMG6forMnr9\nhzoA1jE2y6ORAxL14bZivf9Zkf60+qA+3Fqsm6YM1KRRfXvt+xXFJwAA6BaKTtXrzY2HtauwUpI0\nZnCS7pyZpeT4KJOTAcC5IsIdunHyAF2dnap3Pj2qddtP6OX39unNjYc1c3x/XZ2d2uuG4/auZwsA\nALqVoGFoz5Eqrck93lp0ZvWP163TBjGhEIBuITY6XHdel6VZEzL00bZirc8r0Yp1h/T2p0c0aVSK\npo1JVWaK2+yYXYLiEwAAWE5dg1+f7ynV2u3HVVp9WpI0JC1OX586UCMzE1i3E0C3kxQXqbkzhurG\nKQO0bvsJrdl+XOu2n9C67SeUkezSVWP6adywZCW4I8yOGjIUnwAAwBIaGpu1/UCFtuwr1d6j1Qoa\nhpwOu6ZclqIZ49I1ICXW7IgAcMliIsN0w+QB+uqkDO0urNLGXSXaeahSf1p9UK+tPqjBaXEaN8yj\n7KF9lBwf1aO+bKP4BACE3JS3Vl7yDOXoeYKGoeJSr/KPVGr34SoVnqhVS/DMwuwD+7k1cURfXTk6\nRbHR4SYnBYDO57DblT20j7KH9lGtt0lbC8qUu79cB47X6NCJWi1fe0h94iI1ckCCRg5I1ND0+G7f\nK0rxCQAAukRdg1/HSutVeKJOhSW1OlJSJ19jQJJkkzSgn1vZQz26YkSykhOizQ0LAF0ozhWh68b3\n13Xj+6vO59f2g+Xac7hK+4qqtWHnSW3YeVKSlBgboUGpcRrUL1b9k11K98QoNia82/SOUnwCAGAx\nwWBQTz31lPbv36/w8HA9/fTTyszMbN2/YsUKvf7663I6nbr//vt17bXXqqqqSj/84Q/V2Nio5ORk\nPfvss4qK6vpZYJsDLaqobVR5zWmVVZ/5d6LCpxPlXtU1NJ913+T4KGUP6aPRg5I0ckCC3PRwAoBi\nY8J1TXaarslOUzBoqKi0XnuPVqnwRJ0Ol9RqW0GZthWUtd7fFRWmtD4xSk6I+vu/aPWJi1SCO0Kx\n0eGy261TmFJ8AgBgMatXr5bf79fy5cuVl5enxYsXa+nSpZKk8vJyvfrqq1q5cqWampp05513asqU\nKXrxxRd1ww036NZbb9VLL72k5cuX6+677w551p2HKrQm97hqvE2qrm9q7cn8V33iIpU9JE5pnhgN\nTo3ToLRYhtMCQBvsdpsG9ovVwH5nrnk3DEOVtY06cqpex8u8Ol7u1Ylynw4U12h/cc05xzvsNsW7\nwhUbE67Y6HC5Y8Lljg5TcpJLRkuLYiLDNKhfrJLiIrvk+VB8AgBgMbm5uZo6daokKTs7W/n5+a37\ndu3apbFjxyo8PFzh4eHKyMhQQUGBcnNzdd9990mSpk2bpv/6r//qkuJz9+FK5R+pUlSEU/GucGWm\nuJUUGylP/Jlv4D3xUUpJjO51a9kBQCjYbDb1iY9Sn/goTRie3Lq9ORBURe1plf59xElVXaOq6ptU\nXd+o6vomFZd5FWgxzvuYaX1i9H+/c0WX5O+yvwQeT+evXROKx+xsVs9o9XyS9TNaPZ9k/YxWzyed\nm3HhkhtNSvLlrN6OVs9nJV6vVy6Xq/W2w+FQIBCQ0+mU1+uV2/3PtoyJiZHX6z1re0xMjOrr257g\nqT2/k7bu84NvjdcPvjW+zcfpDaz2f/y2mcPNjgB0Oau9DrtSar84syO0yW52AAAAcDaXyyWfz9d6\nOxgMyul0nnefz+eT2+0+a7vP51NsLMuSAACsheITAACLycnJ0YYNGyRJeXl5ysrKat03ZswY5ebm\nqqmpSfX19SosLFRWVpZycnK0fv16SdKGDRs0btw4U7IDAPBlbIZhnH/wLwAAMMU/Zrs9cOCADMPQ\nM888ow0bNigjI0MzZszQihUrtHz5chmGofvuu0+zZs1SRUWFfvzjH8vn8ykhIUFLlixRdDTLlQAA\nrIPiEwAAAAAQcgy7BQAAAACEHMUnAAAAACDkKD4BAMB5tbS06Omnn9bcuXN16623at26dWZHsrzC\nwkKNGzdOTU1NZkexrPr6en33u9/VXXfdpTlz5mjHjh1mR7KcYDCohQsXas6cOZo3b56KiorMjmRZ\nzc3NWrBgge68805985vf1Jo1a8yOZHmVlZW6+uqrVVhY2OXn7nYrPgeDQdnt1MwAAITaW2+9pUAg\noNdff12lpaV6//33zY5kaV6vV88995zCw8PNjmJpy5Yt06RJk3T33Xfr8OHDevTRR/Xmm2+aHctS\nVq9eLb/fr+XLlysvL0+LFy/W0qVLzY5lSatWrVJ8fLx++ctfqqamRjfffLNmzJhhdizLam5u1sKF\nCxUZGWnK+btF8VlcXKxnn31W+fn5cjqdCgaDysrK0uOPP66BAweaHa/bWL16tTZv3qz6+nrFxsZq\n3Lhxuv7662Wz2cyO1srqGa2eT5IKCgr06aefnpVxzJgxZsdqRRt2Dqu3Y3doQ7Ttk08+0dChQzV/\n/nwZhqGf/OQnZkeyrH+0zyOPPKIHHnjA7DiWdvfdd7cW6C0tLYqIiDA5kfXk5uZq6tSpkqTs7Gzl\n5+ebnMi6rr/+es2aNUvSmdehw+EwOZG1Pffcc5o7d65eeuklU87fLYrP//zP/9Sjjz6qyy+/vHVb\nXl6eHn/8cb3++usmJjublT8M/uxnP1MwGNS0adMUExMjn8+nDRs26JNPPtHPf/5zs+NJsn5Gq+eT\npBdeeEG7du3SVVddpfT0dPl8Pr3wwgsaOXKkvv/975sdjzbsJFZvx+7QhjjXG2+8oVdeeeWsbQkJ\nCYqIiNBvf/tbbd26VY8//rj++Mc/mpTQOs7XVqmpqZo9e7aGDx9uUiprOl9bPfPMMxozZozKy8u1\nYMECPfHEEyalsy6v1yuXy9V62+FwKBAIyOnsFh/du1RMTIykM2328MMP83fmAv7yl78oMTFRU6dO\nNa34lNENzJkz56K2m+Gpp54yFi5caKxevdrYvHmzsXr1amPhwoXGE088YXY0wzAM41vf+tZ5t1up\nDa2e8f9n784Dqirz/4G/78Z22VeRXRAQUVEUMVFxQcypTHNPa2qaZmwZtZxRG7cW0+rX6jTW1Lex\n0Sw1tWxxV9xQcUMRFQSRXQRFZBPucn5/oMyQmoT38tzl/fpLDnLO+3PP5XI/93nOc0w9nyRJ0qRJ\nk27bptfrpbFjxwpIczs+hoZh6o+jOTyG1DozZsyQtmzZ0vz1Aw88IDCNaRs2bJg0ZcoUacqUKVJ0\ndLQ0efJk0ZFM2rlz56SRI0dKKSkpoqOYpDfffFP66aefmr8eMGCAwDSmr6SkRBo9erS0bt060VFM\n2uTJk6XHH39cmjJlihQbGys99thj0uXLl9s1g1l8fBIREYG5c+diwIABcHJyQm1tLfbs2YOIiAjR\n0a29FlYAACAASURBVJqdP38eq1atarFt6NChmDhxoqBELen1ehw9ehS9e/du3nbkyBGoVCqBqVq6\nU8a0tDSTyWgOj6FWq0VRURH8/f2btxUVFZnMddKmfo4B038MAdN/HM3hMaTWiY2NxZ49e5CcnIxz\n587B19dXdCSTtX379uZ/DxkyBF988YXANKYtJycH06dPxwcffMCR4rvo1asXdu/ejZEjRyI9PR3h\n4eGiI5msiooKPP3001iwYAH69esnOo5J+9+ZK1OnTsWiRYvg5eXVrhlkkiRJ7XrENpAkCTt27MCx\nY8eapyH06tULSUlJJjGlFQAmT56Ml1566bbG5KOPPsLKlSsFJmtSUFCAJUuW4MyZM5AkCXK5HF26\ndMGMGTNMpon/ZcaGhgZER0djwYIFCAoKEh2vRT69Xo/KykoMGDAAs2fPRnBwsOh4AICTJ09i4cKF\n0Gg0sLOzQ1VVFezt7bF48WKTuN7ul49hTU0N4uPjMWfOHJM4x0DLx9DR0RE1NTWwsbHBq6++ahKP\nIXD774pGo0FUVJTJ/K6cPHkSixYtQmNjIxwcHFBfXw+VSmVSjyG1TmNjIxYuXIjc3FxIkoRFixah\na9euomOZvCFDhmDz5s28lvEupk2bhqysLPj5+QEAHB0duZjOL+j1eixatAjZ2dmQJAlvvvkmQkND\nRccySW+88QY2b96MTp06NW/77LPPhC2oYy5uNZ/t/bwyi+bTHNx6M5iZmdnc3EVFRZlMY7Jr1y68\n/vrrUCgUmDlzJn73u98BAJ544gn85z//EZyuSU5ODt577z24uLjgoYcewrx58yCXyzFv3jwMHjxY\ndDzk5eUBaPowBABmz56Nt99+GwBMZuGrV155BW+++SaOHj2KuXPnwsnJCfX19ViyZAliYmJEx8P6\n9etRWlqKxMREzJo1C7a2tqivr8eiRYvwwAMPiI4HAOjRowfmzZuHBx98ELW1tVCr1S2uuzEFeXl5\neP/996FUKjF16lTMnj0bWq0Ws2bNwsiRI0XHQ35+Pl577TWcPn0a1dXViIyMRHBwMObOndvun7AS\nERGR6TCLabfmIDAw0KQ/tfvkk0/w/fffQ6fTYfr06WhsbMTo0aNhSp89LFy4ENOnT0dJSQmmT5+O\nrVu3wtbWFs8884xJNJ9PPfUU7Ozs4O3tDUmSkJ+fj4ULFwKAyTTwRUVFAJoWfPnss88QHByMsrIy\nvPzyy7dNCxdh9erVWLlyJaZNm4bly5cjJCQEZWVleO6550ym+YyMjMTZs2fxww8/4MUXX0SfPn1E\nR7rN/Pnz8dxzzzXfK2/Tpk1wcnLCU089ZRLN52uvvYb58+cjODgY6enp2LlzJ5KTk/H3v/9d3AIH\nREREJBybTwOZOnUqNBrNHb9nCivyqlQqODs7AwD++c9/4sknn4Svr6/JTFsGmqaYxMXFAQAOHToE\nDw8PADCZld3Wr1+PhQsXYtKkSejfvz+mTp1qMk3nLykUiuYRdx8fH+j1erGBblKpVHBwcIBarUZA\nQACApnym9Dy0tbXFggULkJGRgX/961947bXXEB8fj4CAADzxxBOi4wFouqbygQcegCRJeO+99+Dj\n4wPAdH5Xampqmp9/MTExeOedd/Dyyy/j+vXrYoMRERGRUKbxTsUCzJo1C/PmzcPHH39skvcX8vPz\nw5IlSzB9+nQ4OjriH//4B/7whz+Y1JvBkJAQ/P3vf8frr7+OpUuXAgD+9a9/wdPTU3CyJh4eHvjg\ngw/w1ltvISMjQ3ScO6qpqcGYMWNQV1eHdevW4ZFHHsHSpUvRsWNH0dEANF0HNW3aNISHh+NPf/oT\nBgwYgH379iE+Pl50tGa3ZgN069YNy5YtQ3V1NY4cOdI87doU+Pn5YebMmdDpdFCr1Xj//ffh6Oho\nMlNa/f39sWDBAgwcOBApKSmIjo5GSkoK7O3tRUcjIiIigXjNpwF9/vnnCAoKQlJSkugot9Fqtdi0\naRMefPDB5jeAFRUV+PTTT/H3v/9dcLomer0eu3btwrBhw5q3ff/99xg+fLjJvWndsGEDNmzYYBJT\nWX+psbER586dg52dHYKDg7F+/XqMHTvWZFZCTUtLw/79+1FZWQlXV1fExsYiMTFRdKxmGzduxOjR\no0XH+FVarRZ79uxBcHAw1Go1VqxYARcXFzz55JNwcHAQHQ+NjY1Yt24dcnJy0KVLFzz22GPIyMhA\nUFAQ3NzcRMcjIiIiQdh8EhERERERkdHxpmtERERERHeRnZ2NiIgIbN26VXQUIrPH5pOIiIiI6C42\nbNiA5ORkk1hAksjcsfkkIiIiIrqDW2tmzJw5E2fOnEFBQYHoSERmjc0nEREREdEdpKSkoGPHjggJ\nCcGwYcM4+kl0n9h8EhERERHdwYYNG/DQQw8BAEaOHImNGzeisbFRcCoi88XVbomIiIiIfuHKlSsY\nNGgQ3N3doVQqIUkSLl++jLfeequ5ISWi30YpOgARERERkanZtGkT4uPj8fnnnzdvW7ZsGdasWcPm\nk6iNOO2WiIiIiOgXNmzYgMmTJ7fYNnnyZJw6dQq5ubmCUhGZN067JSIiIiIiIqPjyCcREREREREZ\nHZtPIiIiIiIiMjo2n0RERERERGR0bD6JiIiIiIjI6Nh8EhERERERkdGx+SQiIiIiIiKjY/NJRERE\nRERERsfmk4iIiIiIiIyOzScREREREREZHZtPIiIiIiIiMjo2n0RERERERGR0bD6JiIiIiIjI6Nh8\nEhERERERkdGx+SQiIiIiIiKjY/NJRERERERERsfmk4iIiIiIiIyOzScREREREREZHZtPIiIiIiIi\nMjo2n0RERERERGR0bD6JiIiIiIjI6Nh8EhERERERkdEp2+tA5eXVBtmPm5sDKivrDLIvc2KNdVtj\nzYB11m2NNQPWWbcha/bycjLIfqzZrb/NlvJcZB2mx1JqsZQ6AMuphXWYHjc3ByiVil/9P2Y38nmv\ngiyVNdZtjTUD1lm3NdYMWGfd1lizObCU88I6TI+l1GIpdQCWUwvrMD2tqcXsmk8iIiIiIiIyP2w+\niYiIiIiIyOjYfBIREREREZHRtXnBIb1ej0WLFiErKws2NjZ44403EBQUZMhsREREREREZCHa3Hzu\n2LEDjY2NWLNmDdLT07F06VIsX77ckNmIiIjIiJYvTREdgX5haM4KZIsOYUCWUouIOpaGPSHgqObD\nPm6L6Ajt4uMhb4uOYFBtnnZ77NgxDBgwAAAQExOD06dPGywUERERERERWZY2j3zW1NTA0dGx+WuF\nQgGtVgul8s67bM19X1rLWu/tZo11W2PNgHXWbY01A9ZZtzXWTERERPfRfDo6OqK2trb5a71ef9fG\nE4BBbyp+66bY1sQa67bGmgHrrNsaawass25D1mzNTWxjYyPmzp2LwsJCODo6YsGCBbh27RoWL14M\nhUKBhIQEvPDCC6JjEhERtdDm5rNXr17YvXs3Ro4cifT0dISHhxsyF5FJKyirxvo9F5BbXGXwfcvk\nMkh6yWD783K1x6gBIegR6gGZTGaw/RKROGvXroWDgwPWrl2LCxcu4PXXX0dFRQWWLVuGgIAAPPvs\nszhz5gyioqJERyUiImrW5uYzKSkJBw4cwMSJEyFJEt58801D5iIySVeqbmDjvgs4ePoSJAA+7g5Q\nKQx7xyKlUg6tVm+gvUkouFyNj749hchAV4wbHIYQX2cD7ZuIRMnJycHAgQMBAJ06dUJGRgY8PDwQ\nGBgIAEhISEBqaiqbTyIiMiltbj7lcjlee+01Q2YhMll1NzT46WA+th8tglanh7+XI8YPCUV0iIfB\nj2XoqZhF5TX4NiUXp3Kv4PUvjyKuizceGxQKL1d7gx2DiNpXly5dsHv3bgwbNgwnT55EdXU1AgIC\nmr+vVqtRWFgoMCERERmCpV1i0ubmk8gaaLR67D5RjB8O5KH2hhbuzrYYPaAT+nXtALncPKaw+ns5\nYsa4HjibX4m1u3OQdvYyjmWVY2isPx56IBiO9irREYnoN3rssceQm5uLyZMno1evXoiMjER9fX3z\n92tra+HszFkORETmzpzWhmhNo8zmk+gO9JKEI2cvY/2eXFRU3YC9rQJjE0MxLNYfNirDrNrc3roE\nuWH+k72b69p2pBD7TpXioX5BGGrGdRFZo4yMDPTr1w+vvPIKMjIyUFJSggsXLqCgoAABAQHYv38/\nFxwiIiKTw+aT6BeyCppGCPNKq6GQy5DUOwAPPRAEJwcb0dHum1wmQ98oH/QK98Lu40X4IfUi1qXk\nYufxIowZ2AnxXTtAzkWJiExeUFAQPvzwQ3zyySdwcnLC4sWLUVpailmzZkGn0yEhIQE9evQQHZOI\niKgFNp9ENxVX1OLb3Tk4mXsFABDXxRtjBnaCt5uD4GSGp1LKMTwuEP27++Kng/nYcbQIn/94FtvS\nCjFucBi6hriLjkhEv8Ld3R0rVqxosc3Hxwdr164VE4iIiKgV2HyS1btW04Dv9uVh36kSSBIQHuCK\n8YPD0Kmj5V8vpbZTYfzgMAzp5YeNe/NwMPMS3l2TjugQd4xNDEWgj2Vd5E5ERERE4rD5JKtV36DF\n1rQCbEkrQKNGD18PB4xLDEOPMOu7H6aniz3++HAUhvcJwNrdOTiddxWZeVfxQHQHjB7YCe7OdqIj\nEpERTJuTCMDwq2yLYhl1JFpIHU0spRYRdXxhpP1azjkZZSF1WMb5aC02n2R1tDo99p0swff783C9\nTgMXtQ0mDQ1BQndfKOSGvWenuQnq4IRZE2OQmXcVa3fn4MDpS0g7dxlJvQMwMj4IDnZ8ySAiIiKi\ntuE7SbIakiTheHYFvt2Ti7KrdbBVKfBoQgiS4wJha8OVXm+RyWSI7uSBqGB3pJ6+hI37LuDnQ/nY\ne7IED/cPxuCeflAqrLtJJyIiIqLfjs0nWYWc4iqs3Z2DnKIqyGUyDO7ph0cSQuCiNv8VbI1FLpch\nobsv+nTxxo6jhfj5UD6+3nEeO44W4rFBoegT6W1105OJiIiIqO3YfJJFK7tah2/35OJYVjkAoGdn\nT4xNDIWvh1pwMvNhq1Lgd/2CMaBHR/x44CJ2nyjGJ99nYmtaISYMCUN4gKvoiERERERkBth8kkW6\nXteIH/ZfREp6MXR6CaEdnTFuMBul++HsYIPJSeEY2tsf6/dcwNFzl7H0q+OICfPEuMFs6ImIiIjo\n17H5JIvSoNFh+5GmKaI3GnXwdrPH2EGhiI3w4hRRA/Fxc8Bzj0Yjt6QKa3flID2nAqdyr2BgD1+M\nSgiBi6Ot6IhEREREZILYfJJF0OslHMgoxcZ9F3CtphGO9io8nhSKQTEduTiOkYR2dMGcx3sh/XwF\n1qXkIiW9BAczy5AcF4ARfQNhZ8OXFyIiIiL6L747JLMmSRIyLlzFupQcFJfXQqWU43f9gvBgX94W\npD3IZDL0DPdC9zAP7DtZiu/252HTgYtISS/BowkhGNCDt68hIiIioiZ8d05m6+Kl61i3Oxdn8ysh\nA5DQzRePDgiBu7Od6GhWRyGXI7GnH/pG+WBrWgG2pBXgP1uzsP1oIcYOCkVMZ09OeyYiIiKycmw+\nyexUXKvHhr0XcOhMGQCgWycPjEsMhb+3o+BkZG+rxKMDOiGxpx++35+HvSdLsGxDBsL9XTBuSBhC\nO7qIjkhEREREgrD5JLNRU6/BTwcvYuexImh1EgJ9HDF+cBiigt1FR6NfcHW0xZMjIpHUOwDfpuQi\nPacCi/9zDL0jvTF2UCd4uzmIjkhERERE7YzNJ5k8jVaHnceK8dPBi6i9oYWHsx3GDOqEvlE+kHMq\np0nr6KnGX8Z2R1ZBJdbuzsXRc5dxIrscg3v64eH+wXBysBEdkYiIiIjaCZtPMll6vYSDmZewYc8F\nXLl+Aw62SowfHIahsX5QKRWi49FvEBHohnlPxOLIuctYvycXO44V4cDpUoyMD0JS7wDR8YjITC1f\nmiI6At00NGfFHbdnt28Mo2mPOpaGPdEOR7Ec9nFbREcwSx8PeVvo8dl8kknKLanC4lXHkFtUBaVC\nhuS4APyuXzAc7VWio1EbyWQyxHXxQa9wL+w+UYwfDlzE+j0XsOt4Mf44qhsi/Z1FRyQiIiIiI2Lz\nSSYnr/Q6/t/X6WjQ6BAf5YMxAzvB09VedCwyEKVCjqTeAegf3QE/HyrA9qOFeHvVUTw9sgsSuvuK\njkdkFjQaDebMmYPi4mLI5XK8/vrrUCqVmDNnDmQyGTp37oyFCxdCzlsdERGRCWHzSSal9Eot3l97\nEo1aHeY82Qfhvk6iI5GRONipMDYxFP26+uCt1SewYvM5ONqrENPZU3Q0IpO3Z88eaLVafPPNNzhw\n4AA++OADaDQazJgxA3379sWCBQuwc+dOJCUliY5KRETUjB+JksmorG7Ae2tOoqZegyeSI9C/e0fR\nkagd+Hk5YuEz8VAqZFj+/WlkF14THYnI5IWEhECn00Gv16OmpgZKpRKZmZmIi4sDAAwcOBCpqamC\nUxIREbXE5pNMQk29Bu+tSceV6zcwZmAnDIrxEx2J2lFksDueG90Ner2Ej749haLLNaIjEZk0BwcH\nFBcX48EHH8T8+fMxdepUSJIE2c0VwNVqNaqrqwWnJCIiaonTbkm4Bo0OH317CsUVtRgW64/f9QsS\nHYkE6B7qgadHdsFnP57Bu2vT8fcpsbzWl+guVqxYgYSEBLz88ssoLS3Fk08+CY1G0/z92tpaODvf\nexEvNzcHKG+uHu7lxcsciIgsnejXejafJJRWp8fy704jp7gKfaN8MHFY5+ZP7sn69IvugOq6Rnyz\nKwfvrknH3CmxcFbzXqBEv+Ts7AyVqmn1bxcXF2i1WkRFReHw4cPo27cv9u7di/j4+Hvup7KyDkDT\nm5Hyco6UEhFZOmO+1remseW0WxJGkiR8ufkcTuVeQXSIO/7wuy6Qs/G0esPjAvFgfCDKKuvx/rqT\nqG/Qio5EZHJ+//vfIzMzE5MnT8aTTz6JmTNnYsGCBVi2bBkmTJgAjUaD5ORk0TGJiIha4MgnCbMu\nJRcHTl9CiK8znhsdDaWCn4VQk7GDQlFdp8H+U6X4x4YMzBjXAyolnx9Et6jVanz44Ye3bV+1apWA\nNERERK3Dd3MkxObD+dhyuAAd3B0wY1x32NnwcxD6L5lMhidHRCAmzBNn8yvx2Y9noNdLomMRERER\n0X1g80nt7kBGKdbtzoWbky1enhADJwde00e3U8jl+POorgj3d8HRc5fx1Y5sSBIbUCIiIiJzxeEm\nalfpORX498/noLZT4qUJMfBwsRMdiUyYjUqBv4ztjqVfHcfu48VwcbDBIwkhomMRkYmYNiexxdeW\nsnCSedaReMet5lnL7dqjji+Muvf/spxzMspC6rCM89FaHPmkdnO+6BqWf3caSoUM08f1gJ+nWnQk\nMgMOdiq8NCEGni52+G5/HnafKBYdiYiIiIjagM0ntYui8hp8uO4U9HoJz43uhjA/F9GRyIy4Ot6a\noq3Cqq1ZOHrusuhIRERERPQbsfkko6uoqsd7a9JR16DF0yO7oHuoh+hIZIZ83B3w0vgY2Noo8K8f\nMnH24lXRkYiIiIjoN2DzSUZ1va4R7645iWs1jZg4JAz9ojuIjkRmLKiDE14c0w0A8NGGDFy8dF1w\nIiIiIiJqLTafZDT1DVp8sPYkyq7WYWR8EIbHBYqORBagS7A7nn24KxobdXj/5vOLiIiIiEwfm08y\nCo1Wj483ZuDipWokdPfFY4M6iY5EFqR3pDemJEeguk6Dd9eko7K6QXQkIiIiIroHNp9kcHq9hP/7\n6QzOXKxETJgnnhwRAZlMJjoWWZjBPf3waEIIKqpu4P216ai7oREdiYiIiIh+BZtPMihJkrB6RzbS\nzl5GuL8L/jyqKxRyPs3IOB7uH4whvfxQVF6LD789hUaNTnQkIiIiIroLdgVkUD+kXsSu48Xw91Lj\nL2O7w0alEB2JLJhMJsPkYeHoE+mN80VV+OT7TOj0etGxiIiIiOgO2HySwew+UYzv9uXB08UOL02I\ngYOdSnQksgJyuQzPPBSFqGA3pOdU4MvNWZAkSXQsIiIiIvoFNp9kEEfPXcaqrVlwclDh5QkxcHW0\nFR2JrIhKKcfzo7shuIMT9meU4ts9uaIjEREREdEvKNvyQ9XV1fjrX/+KmpoaaDQazJkzBz179jR0\nNjITZy9exb9+yIStjQIvjY+Bj7uD6EhkhextlZgxvgeWrDqOzYcK4Oxgg2Te3ofIbC1fmiI6Apm4\noTkr2u1Y2e12JOO7Wy1Lw55o1xz3yz5ui+gIZufjIW+LjtC2kc9///vfiI+Px6pVq7BkyRK89tpr\nhs5FZiL/UjU+2pABAHhxTDcEdXASnIismbODDV4e3wOujjZYsysHqadLRUciIiIiopva1Hz+/ve/\nx8SJEwEAOp0OtracYmmNyq7W4b216Whs1OHZh7uiS7C76EhE8HS1b7rm2FaJf/98DqdyK0RHIiIi\nIiK0YtrtunXr8OWXX7bY9uabb6J79+4oLy/HX//6V7zyyitGC0imqbK6Ae+uSUd1nQZTkyPQO9Jb\ndCSiZv5ejpg+rjv+3zfp+OfG05g1qSfC/FxExyIymA0bNmDjxo0AgIaGBpw9exYrV67E4sWLoVAo\nkJCQgBdeeEFwSiIiopZkUhuXhczKysJLL72Ev/3tbxg0aNA9/79Wq4NSydtuWIKaeg3mfrwfF0uv\nY3JyJCYNjxAdieiO0s5cwuJ/p8HBVomlLyQgqIOz6EhEBvfqq68iMjISq1evxrJlyxAQEIBnn30W\nM2fORFRU1K/+bHl5NQDAy8up+d+mgtd80r205zWf1oDXfFo+Y1/z6eV178vv2rTgUE5ODqZPn44P\nPvgAkZGRrfqZysq6thzqNqb4B7I9mErdjRod3luTjoul1zGklx+GxvgaLZep1NzerLFuY9Uc4qXG\nUw9G4v9+Oov5n6TilSmx8HCxM/hx2orn+v73Ze0yMjKQk5ODl19+GStWrEBgYNMiWwkJCUhNTb1n\n80lERNSe2tR8vvvuu2hsbMTixYsBAI6Ojli+fLlBg5Hp0en1+OT7TGQXVaFPpDcmDwuHTCYTHYvo\nV/Xv5ovqOg3W7s7Bu2vSMXdKLzg52IiORWQQn376KZ5//nnU1NTA0dGxebtarUZhYeE9f97NzaF5\nVhKbeSIiy2YKr/Ntaj7ZaFofSZLw5ZYspOdUICrYDc88FAW5nI0nmYcRfQNxvbYRW9IK8MG6U/jr\npBjY2bTp5Y/IZFy/fh15eXmIj49HTU0Namtrm79XW1sLZ+d7TzO/NSvJGkfhiYisjbFf51vT3LZp\ntVuyPuv3XMD+U6UI7uCE50d3g0rJpw6Zl7GDQ9E/ugPySq/j442nodXpRUciui9HjhxBv379ADTN\nQFKpVCgoKIAkSdi/fz969+4tOCEREVFL/Oif7mlbWgF+PpQPH3cHzBjfA/a2fNqQ+ZHLZHjywUjU\n1GtwMvcK/u+ns/jjw1GQc+o4mam8vDz4+/s3f/3qq69i1qxZ0Ol0SEhIQI8ePQSmIyIiuh27CPpV\nB09fwje7cuDqaIOXx/eAM6+VIzOmVMjx50ej8e6adBw+UwZHexUmD+vMa5fJLD3zzDMtvo6JicHa\ntWsFpSEiIro3zp2kuzqVewVf/HwWDrZKvDQhBp6u9qIjEd03W5UC08d2h5+XGjuPFeHHg/miIxER\nERFZBTafdEc5xVX458YMyOUyTB/XHf5ejvf+ISIzobZT4aXxMfBwtsPGvRewJ71YdCQiIiIii8dp\nt3Sb4opafLjuJLQ6CS881g2d/V1FRyIyODcnW7w8MQZvrjyG/2zNgqO9CrER3qJjEdFN0+Yk/uaf\nsZRVey2lDsDYtSQaab+3s4Zz8oWALPfDy2uURZwTS3putQZHPqmFK1U38N6adNTe0OKpkZGICfMU\nHYnIaDq4O2Dm+B6wUSnw6aYzOJdfKToSERERkcVi80nNqusa8d7adFRWN2D84DD07+YrOhKR0YX4\nOuOFMd0gSRI+Wn8K+Zes59NHIiIiovbE5pMAADcatfhg3SmUXqnDiLhAjOgbKDoSUbvpGuyOPz4c\nhYZGHd5fdxKXK+tERyIiIiKyOGw+CVqdHv/ceBp5pdfRP7oDxg4OFR2JqN3FdfHB48PDcb22Ee+u\nSUdVTYPoSEREREQWhc2nldNLEv7vp7M4nXcV3UM98OSDkZDznodkpYb08scj/YNRfu0G3lt7EnU3\ntKIjEREREVkMNp9WTJIkfLPjPA6fKUOYnwumPRoNpYJPCbJuoxJCkNjTD4WXa7Bs/SlotDrRkYiI\niIgsAjsNK/bTwXzsOFYEP081po/rDluVQnQkIuFkMhmmJIWjd4QXsgqv4dNNZ6DXS6JjEREREZk9\nNp9Wau/JEmzYewEezrZ4aUIM1HYq0ZGITIZcLsMfH+6KLkFuOJ5djv9szYIksQElIiIiuh9sPq3Q\niexyfLnlHBztVXhpQgzcnGxFRyIyOSqlHC+M6YYgHyfsPVmCjfvyREciIiIiMmtsPq1MdV0jvvj5\nLFRKOWaO7wFfD7XoSEQmy95WiZnje8Db1R4/pl5ETnGV6EhEREREZovNp5X5NiUXtTe0GDMwFCG+\nzqLjEJk8Z7UN/vBQFwDAyq1Z0On1ghMRERERmSel6ADUfnKKq7DvVCn8vRwxNNZPdBwis9HZ3xUJ\n3XyxP6MUu44XI6l3gOhIRETNli9NER2B7tPQnBXtdqzsdjuSYSwNe+KO2+3jtrRzEvP38ZC3RUfg\nyKe10On1WLk1CwAwNTkcCjlPPdFvMXZwKNR2SmzcewHXahpExyEiIiIyO+xArMSuY8UovFyDhO6+\n6OzvKjoOkdlxdrDBY4mhuNGow5pdOaLjEBEREZkdTru1ApXVDdi47wLUdkqMSwwVHYfIbA3s0RH7\nTpbi8JkyDOjui6hgd9GRyIp9+umn2LVrFzQaDSZNmoS4uDjMmTMHMpkMnTt3xsKFCyHnLBci/IDW\nTgAAIABJREFUIjIh/KtkBdbuzsGNRh0eSwyFk4ON6DhEZksuk+GJ5AjIZMCqbdnQ6rj4EIlx+PBh\nnDhxAl9//TVWrlyJS5cuYcmSJZgxYwZWr14NSZKwc+dO0TGJiIhaYPNp4c5cvIrDZ8oQ4uuMgT06\nio5DZPaCOjhhSE9/XLpah61pBaLjkJXav38/wsPD8fzzz+PPf/4zEhMTkZmZibi4OADAwIEDkZqa\nKjglERFRS5x2a8E0Wj1WbcuGTAY8kRwBuUwmOhKRRRg9MARHsi7jhwMX0beLDzxd7UVHIitTWVmJ\nkpISfPLJJygqKsK0adMgSRJkN1/n1Wo1qqur77kfNzcHKJUKAICXl5NRM7cX1kFEdGem8LrC5tOC\nbU0rwKWrdRjayx9BHcQ/2YgshYOdChMGh+GzH89g9Y7z+MvY7qIjkZVxdXVFp06dYGNjg06dOsHW\n1haXLl1q/n5tbS2cne99L+fKyjoATW9Iysvv3ayaOtZBRHR3xn5daU1zy2m3FqriWj1+TL0IZ7UN\nRg8MER2HyOLEd/VBRIAr0nMqkH6+QnQcsjKxsbHYt28fJElCWVkZ6uvr0a9fPxw+fBgAsHfvXvTu\n3VtwSiIiopbYfFqo1TvOo1Grx4QhYXCwU4mOQ2RxZDIZpiRHQCGXYfWObDRodKIjkRUZPHgwunTp\ngrFjx2LatGlYsGABZs+ejWXLlmHChAnQaDRITk4WHZOIiKgFTru1QOnnK5CeU4HIQFfER/mIjkNk\nsfw81RjeJwCbDxfgp4MXMWYgb2VE7edvf/vbbdtWrVolIAkREVHrcOTTwjRodFi9IxsKuQyPD49o\nXnyCiIzj4f7BcHe2xZbDBSi9Uis6DhEREZHJ4sinhfnp4EVUVN3Ag/GB8PNUi45DZPHsbJSYNDQc\nH2/MwFfbs/HyhBh+6ENE7WranETREe7KUhZPMn4diUbcd0vmdk6+uMt2L69RZlXH3Zjb+bhfHPm0\nIKVXarH5UAHcnW3xyANcZIiovfQK90T3UA+cuViJI+cui45DREREZJLYfFoISZKwals2dHoJk4aG\nw9ZGIToSkdWQyWSYPKwzlAo5vt55HvUNWtGRiIiIiEwOm08LceTcZZzNr0T3UA/0CvcUHYfI6ni7\nOeChfkGoqmnE9/vzRMchIiIiMjlsPi1AfYMWX+88D5VSjslJ4bzejEiQB+MD4e1mjx1Hi1BQZj3X\nbxARERG1BptPC/DdvjxU1TTid/FB8Ha1Fx2HyGqplApMSQqH/uY0eL0kiY5EREREZDLYfJq5grJq\n7DhWCG83ezwYHyg6DpHVi+7kgd4RXsgprsKBU6Wi4xARERGZDDafZuzW6IokAVOGh0Ol5CJDRKZg\n4tDOsFUpsC4lFzX1GtFxiIiIiEwCm08zduBUKXKKq9A70hvRIR6i4xDRTe7OdhiVEIKaeg3W78kV\nHYeIiIjIJLD5NFM19RqsS8mFrUqBiUPCRMchol8Y1tsffp5q7E0vQW5Jleg4RERERMKx+TRT6/c0\nTecblRACd2c70XGI6BeUCjmmJkdAArByaxb0ei4+RERERNaNzacZyi2uwt70Evh5qTGst7/oOER0\nF+EBrugf3QEFZTXYfaJYdBwiIiIiodh8mhmdXo+V27IgAZg6PAJKBU8hkSkbNzgMDrZKbNibi6qa\nBtFxiIiIiIRRig5Av83u48UoKKtB/+gOCA9wFR2HiO7BWW2DxwZ1wspt2VizOwfPPtxVdCQismLL\nl6aIjmAxhuasEB2hTbLv42eXhj1hsBz3yz5ui+gIFuHjIW+36/Hua9gsNzcXsbGxaGjgp/ntoaqm\nARv3XYCDrRLjBnORISJzMSjGD8EdnHAoswzn8itFxyEiIiISos0jnzU1NXjrrbdgY2NjyDz0K9bs\nzkF9gw5TkyPgrObjTmQu5HIZpiZH4I0vj2Lltiy8+nQcp8zTfRs9ejQcHR0BAP7+/pgwYQIWL14M\nhUKBhIQEvPDCC4ITEhERtdSm5lOSJMyfPx8vvfQSnnvuOUNnojs4lVOOQ5llCO7ghEE9OoqOQ0S/\nUYivMxJ7+mH3iWJsO1KIkfFBoiORGWtoaIAkSVi5cmXztlGjRmHZsmUICAjAs88+izNnziAqKkpg\nSiIiopbu2XyuW7cOX375ZYttHTt2xMiRIxEZGdnqA7m5OUCpVPz2hHfg5eVkkP2YC41WjwVfpEEm\nA/4ysSd8fJxFR2o31naub7HGuq2h5mfHdMfx8+X4IfUiHkzoBMA66v4la6zZ0M6dO4f6+no8/fTT\n0Gq1ePHFF9HY2IjAwEAAQEJCAlJTU9l8EhGRSbln8zlu3DiMGzeuxbakpCSsX78e69evR3l5OZ5+\n+ml89dVXv7qfysq6+0t6k5eXE8rLqw2yL3Px86F8FF2uweBefnC1U1pN/dZ4rgHrrNuaah47KBT/\n99NZfLw2Ha/+6QGrqfsWQ55ra25i7ezs8Ic//AHjxo3DxYsX8cc//hHOzv/9YFKtVqOwsFBgQiIi\notu1adrt9u3bm/89ZMgQfPHFFwYLRC1VVNVj04E8uDjaYMzATqLjENF9eiC6A/adLMHx7HIcOXMJ\nwV5q0ZHIDIWEhCAoKAgymQwhISFwcnLCtWvXmr9fW1vbohm9m/+dlWQpzTzrICJqvfZ+reGtVkzc\n1zvOo1Gjx/Nju0JtpxIdh4juk0wmw5TkCCz64gg+3ZiBV5/qAxuVYS5JIOvx7bffIjs7G4sWLUJZ\nWRnq6+vh4OCAgoICBAQEYP/+/a1acOjWrCRLmX3AOoiIfhtDvta0ppG97+Zz165d97sLuouTORU4\ncb4C4f4uGBwbgIqKGtGRiMgA/L0cMbxPALakFeDnQ/l4dABnNdBvM3bsWMydOxeTJk2CTCbDm2++\nCblcjlmzZkGn0yEhIQE9evQQHZOIiKgFjnyaqEaNDl9tz4b85iiJTCYTHYmIDOiRhGAcybqMnw/l\no1/XDvBxdxAdicyIjY0N3n333du2r127VkAaIiKi1uGN5kzUTwfzUVF1A8P7BMDfy1F0HCIyMDsb\nJf44qhu0OgmrtmdDkiTRkYiIiIiMis2nCSq7WofNh/Ph5mSLRxKCRcchIiN5oLsvokPckZl3FUez\nykXHISIiIjIqTrs1MZLUNAqi1UmYNLQz7Gx4iogslUwmw+PDwzH/8zR8s/M8okPcYW/L33kiMp5p\ncxLb9XiWsnjSnetIFBHlvt3POTGl+1t4eY2y4OeW5eLIp4k5mlWOzLyriA5xR2yEl+g4RGRkPm4O\nGBkfiMrqBmw6kCc6DhEREZHRsPk0IfUNWny9IxtKhRyPDw/nIkNEVmJkfBC8XO2w/UgRii5zVWsi\nIiKyTGw+Tcj3+/NwraYRI+MD4ePGlS+JrIWNSoHHkyKglySs3JbFxYeIiIjIIrH5NBFFl2uw42gR\nvFztMDI+SHQcImpn3UM90CvcC+eLqpB6+pLoOEREREQGx+bTBOglCf/ZlgW9JOHxpAjYqBSiIxGR\nAJOGdoaNSo61u3NQU68RHYeIiIjIoNh8moDUjEvIKapCbLgXuod6iI5DRIJ4uNhhVP8QVNdpsGHv\nBdFxiIiIiAyKzadgNfUarEvJga1KgUnDOouOQ0SCJfUJQEdPNfacKEZe6XXRcYiIiIgMhs2nYBv2\nXkB1nQaP9A+Gu7Od6DhEJJhSIceUpHBIAP6zNQt6PRcfIiIiIsvA5lOgCyXXsedEMTp6qpHUJ0B0\nHCIyEZFBbujX1Qf5l6qRkl4sOg4RERGRQbD5FESvl7ByaxYkAFOHh0Op4Kkgov8aPzgM9rZKrN9z\nAVW1jaLjEBEREd03djyCpKQXI7+sGv26+iAi0E10HCIyMS6OthgzsBPqG7RYtztHdBwiIiKi+6YU\nHcAaVdU2Yv2eC7C3VWL84DDRcYjIRA3u6Yd9p0qQevoSBnT35QdVRNRqy5emiI5gFobmrGjV/8s2\nbgyDWBr2hOgI7co+bovoCCbp4yFvi47wqzjyKcDaXTmob9BizMBOcHG0FR2HiEyUXC7D1OQIyACs\n3JYNrU4vOhIRERFRm7H5bGdZBZU4mHkJQT5OGNzTT3QcIjJxoR1dMCimI0oqarH9aKHoOERERERt\nxuazHWl1eqzclg0ZgKnJEZDLZaIjEZEZGDMoFI72KmzafxFXr98QHYdMyJUrVzBo0CDk5uYiPz8f\nkyZNwuTJk7Fw4ULo9RwpJyIi08Lmsx1tP1qIkopaDIrpiE4dnUXHISIz4WivwrjBoWjQ6PD1zvOi\n45CJ0Gg0WLBgAezsmu4RvWTJEsyYMQOrV6+GJEnYuXOn4IREREQtsflsJ1ev38D3+/PgaK/CmEGh\nouMQkZnp380XYf4uOJZVjowLV0THIRPw1ltvYeLEifD29gYAZGZmIi4uDgAwcOBApKamioxHRER0\nGzaf7eTrnefRqNFj3OCm6XNERL+FXCbD1OERkMtk+GpbNjRanehIJNCGDRvg7u6OAQMGNG+TJAky\nWdPlHGq1GtXV1aLiERER3RFvtdIOTuVewbGscoT5u6B/N1/RcYjITAV4O2JYb39sO1KInw8VYFRC\niOhIJMj69eshk8lw8OBBnD17FrNnz8bVq1ebv19bWwtn53tf3uHm5gClUgEA8PJyMlre9sQ6iMia\nmfprB5tPI2vU6PDV9qwWoxZERG01KiEEaWfL8NPBfMR39YGPm4PoSCTAV1991fzvqVOnYtGiRXjn\nnXdw+PBh9O3bF3v37kV8fPw991NZWQeg6c1Kebn5j5SyDiKydiJfO1rT+HLarZH9fCgf5dduYFhv\nfwR4O4qOQ0Rmzt5WiYlDO0Or0+Or7dmQJEl0JDIRs2fPxrJlyzBhwgRoNBokJyeLjkRERNQCRz6N\nqKyyDj8fKoCrow2nxxGRwfSJ9MbekyU4feEqjmeXIzbCW3QkEmjlypXN/161apXAJERERL+OI59G\nIkkSvtqWDa1Oj4lDO8Peln0+ERmGTCbDlOERUCpkWL3jPG40akVHIiIiIronNp9GciyrHKfzrqJr\nsBv6RHJUgogMq4O7A0b0DUJldQM2HbgoOg4RERHRPXE4zghuNGrx9c7zUCpkeHx4RPPS90REhvS7\nfkE4lHkJ248Uon90B/h58bpyImoybU6i6AgAzGHxpMRW/S/TrwP4opX/zxxqaQ0vr1EWUodlnI/W\n4sinEWw6cBGV1Q0Y0TcIHdy5EiURGYetSoHJSeHQ6SWs3MbFh4iIiMi0sfk0sKLyGmw/UghPFzs8\n1C9IdBwisnAxYZ7o2dkT2YXXcDDzkug4RERERHfF5tPA1u7KgU4vYXJSOGxUCtFxiMgKTBrWGTZK\nOdbuzoVGqxMdh4iIiOiO2HwaUEFZNU7nXUVkoCtiwjxFxyEiK+HpYo+hvf1xvbYRB05z9JOIiIhM\nE5tPA9qaVgAAGNE3UHASIrI2w2IDoJDLsDWtEHpe+0lEREQmiM2ngVy9fgNpZy/Dz1ONbp08RMch\nIivj5mSLfl07oOxqHU6erxAdh4iIiOg2bD4NZNuRQuj0EpLjAnlrFSISIvnmrIvNN2dhEBEREZkS\nNp8GUHdDgz0nS+DqaIP4rj6i4xCRlfLzVKN7qAdyiqqQU1wlOg4RERFRC2w+DSAlvQQNjToM6x0A\npYIPKRGJMyKuafRzy2GOfhIREZFpYad0n7Q6PbYfLYStjQKJMR1FxyEiKxcR6IrgDk44kV2Osqt1\nouMQERERNWPzeZ8OZZahqqYRg3p0hIOdSnQcIrJyMpkMI/oGQgKw9Uih6DhEREREzZSiA5gzSZKw\nNa0ACrkMw/sEiI5DRAQAiI3wgqeLHQ5klOLRhBA4q21ERyIiK7B8aYroCHTT0JwVd/1etpGPvTTs\nCSMfoYl93JZ2Oc4vfTzkbSHHtRQc+bwPGReuoLiiFnFdvOHubCc6DhERAEAhlyM5LhAarR67jheJ\njkNEREQEoI3Np06nwxtvvIGJEydizJgx2L17t6FzmYVbC3ok31zgg4jIVCR084XaToldx4vRoNGJ\njkNERETUtmm333//PbRaLb755huUlZVh8+bNhs5l8i5euo5zBdfQNdgNgT5OouMQEbVga6PA4F7+\n+DH1Ig5klGJIL3/RkciAdDod5s2bh7y8PMhkMrz66quwtbXFnDlzIJPJ0LlzZyxcuBByOSc4ERGR\n6WjTX6X9+/fDx8cHzz77LObNm4chQ4YYOpfJuzXqOaJvkOAkRER3NjTWH0qFHNvSCqHXS6LjkAHd\nmnH0zTffYMaMGXj//fexZMkSzJgxA6tXr4YkSdi5c6fglERERC3dc+Rz3bp1+PLLL1tsc3Nzg62t\nLT799FMcOXIEc+fOxVdffWW0kKam/Fo9jpy7jEBvR0QFu4mOQ0R0Ry5qG/Tv1gF70ktwPLscvSO9\nRUciAxk2bBgSExMBACUlJXB2dkZqairi4uIAAAMHDsSBAweQlJQkMCUREVFL92w+x40bh3HjxrXY\nNnPmTCQmJkImkyEuLg4XL16854Hc3BygVCraHPR/eXmJnea6YX8eJAkYNywc3t7O7XZc0XWLYI01\nA9ZZtzXWDBi/7onJkdh7sgQ7jhdhREInyGQyox6vNaz1XBuaUqnE7NmzsX37dnz00Uc4cOBA8/lV\nq9Worq6+5z7+92+zpZwX1kFExmSM301r+n1v0zWfsbGx2LNnD5KTk3Hu3Dn4+vre82cqKw1zs3Mv\nLyeUl9/7D6qx1NRrsO1wPtydbRHh59xuWUTXLYI11gxYZ93WWDPQPnXbyoCYME+cOF+B1BNFCA9w\nNerx7sWQNVvTH+u7eeuttzBr1iyMHz8eDQ0Nzdtra2vh7HzvD0dv/W22lN9B1kFExmbo301L+n1v\nzd/lNl3zOX78eEiShPHjx2P+/Pl49dVX27Ibs7T7RDEaNXok9Q6AUsGFHIjI9I3o27Qi961r1cn8\nfffdd/j0008BAPb29pDJZIiOjsbhw4cBAHv37kXv3r1FRiQiIrpNm0Y+bWxssGTJEkNnMXkarQ47\njxXB3laJgT06io5DRNQqnf1dEernjPScCpRU1KKjp1p0JLpPw4cPx9y5c/H4449Dq9XilVdeQWho\nKObPn4/33nsPnTp1QnJysuiYRERELbSp+bRWqacv4XptIx6MD4S9LR86IjIfI+KC8PHGDGxNK8BT\nI7uIjkP3ycHBAR9++OFt21etWiUgDRERUetw3mgr6SUJW9MKoZDLMCw2QHQcIqLfpGdnT/i42eNg\n5iVcq2m49w8QERERGRiH71rpZE4FLl2tQ/9uHeDmZCs6DhHRbyKXyzA8LhArt2Zh57EiPDYoVHQk\nIrIw0+Yk3rbNUhZTMb86Eu/6HWPX8oXR9tySl9coMzsnBHDks9VuLdQxIi5QcBIiorbpH90BTg4q\npJwoxo1Greg4REREZGXYfLZCbnEVzhdVoXuoB/y8HEXHISJqExuVAkN7+aP2hhb7TpaKjkNERERW\nhs1nK3DUk4gsxeBefrBRyrHtSCF0er3oOERERGRF2HzeQ9nVOhzPLkdwBydEBIq9OTsR0f1ycrBB\nQndfXLl+A0fOXRYdh4iIiKwIm8972HakEBKabtIuk8lExyEium/D+wRAJgO2Hi6EJEmi4xAREZGV\nYPP5K67XNWJ/Rik8XewQG+ElOg4RkUF4uzkgNtwL+WXVOJdfKToOERERWQk2n79i17EiaLR6DO8T\nAIWcDxURWY4RfYMAAJvTCgQnISIiImvBjuouGjQ67DpeDLWdEgO6dxQdh4jIoDp1dEZ4gCtOX7iK\noss1ouMQERGRFWDzeRcHMkpRU6/B4F7+sLVRiI5DRGRwI/o2reC9haOfRERE1A7YfN6BXi9hW1oh\nlAo5hsb6i45DRGQU3UM94OvhgMNnynD1+g3RcYiIiMjCsfm8g+PZ5bh8rR4PRHeAi9pGdBwiIqOQ\ny2RIjguETi9hx7Ei0XGIiIjIwrH5/AVJkrAlrQAyAMlxAaLjEBEZVb+uTR+y7UkvRn2DVnQcIiIi\nsmBK0QFMzfmiKlwouY6enT3h66EWHYeIyKhUSjmG9fbH+j0XsCe9pPk6UCIiap3lS1NERzCqoTkr\nREe4o+cne4uOYDAfD3lbdIR2w5HPX9hyuGnhDb4BIyJrkdjTD7YqBbYfLYRWpxcdh4iIiCwUm8//\nUXqlFuk5FQjt6IwwPxfRcYiI2oXaToUBPXxRWd2AtLNlouMQERGRheK02/+xNe2/o54ymUxwGiKi\n9jO8TwB2HSvGlsMF6Ne1A18DTZxGo8Err7yC4uJiNDY2Ytq0aQgLC8OcOXMgk8nQuXNnLFy4EHI5\nP2MmIiLTwb9KN1XVNCD19CV4u9mjZ2cv0XGIiNqVp4s9+nTxRlF5LTLzroqOQ/ewadMmuLq6YvXq\n1fj888/x+uuvY8mSJZgxYwZWr14NSZKwc+dO0TGJiIhaYPN5045jRdDqJCTHBUIu5yf+RGR9RsQ1\nXeu++ea172S6RowYgenTpwNoWqVdoVAgMzMTcXFxAICBAwciNTVVZEQiIqLbcNotgBuNWqScKIaj\nvQr9ozuIjkNEJERQByd0CXLD2fxK5F+qRlAHJ9GR6C7U6qbV2GtqavCXv/wFM2bMwFtvvdU8XVqt\nVqO6uvqe+3Fzc4BSqQAAeHlZxvlmHabHUmqxlDrI9FjTc4vNJ4B9p0pRe0OLUQkhsFEpRMchIhJm\nRN9AnM2vxNa0Ajz7SFfRcehXlJaW4vnnn8fkyZPx8MMP45133mn+Xm1tLZydne+5j8rKOgBNb3zK\ny+/drJo61mF6LKUWS6mDTJOlPLda00RbffOp0+ux/UghbJRyDOnlJzoOEZFQ0SHu8PdSI+3sZYwZ\n1AmeLvaiI9EdVFRU4Omnn8aCBQvQr18/AEBUVBQOHz6Mvn37Yu/evYiPjzfIsZ5eussg+7nlizlD\nWv1/v/rqS6xduxpr126Cra2tQXMQEVH7s/prPo+eK0dF1Q307+4LJwcb0XGIiISSyWRIjguEXpKw\n/UiR6Dh0F5988gmuX7+Of/7zn5g6dSqmTp2KGTNmYNmyZZgwYQI0Gg2Sk5NFx7xv27ZtxtChw7Fz\n5zbRUYiIyACseuRTkiRsOVwAmQxI7hMgOg4RkUnoG+WDDXsvYO/JEjySEAy1nUp0JPqFefPmYd68\nebdtX7VqlYA0xnH8+FF07OiPRx99DK+9tgAjRz4sOhIREd0nqx75PFdwDfll1YgN94K3m4PoOERE\nJkGpkCOpdwAaNDqknCgWHYes1I8/fo+HH34UgYHBUKlUyMw8LToSERHdJ6se+dxy83YCyX0DBSch\nIjItA3t0xKYDedhxtAjD+wRCpbTqzyqpnV2/fh0HDx5AZeVVfPvtGtTW1mDDhjXo2jVadDSi20yb\nkyg6wm/y2xdPSjRWlPuy1kIWgbK2xaystvksKq9BxoUrCPd3QWhHF9FxiIhMioOdEokxftiSVoBD\nmZcwoEdH0ZHIimzb9jMeemgUnn++6V6mN27cwLhxj6CyshJubm6C0xERUVtZ7UfZW2+Oeo7oGyQ4\nCRGRaRrW2x8KuQxb0gqglyTRcciK/PDD90hOHtn8tZ2dHQYNGoIfftgoMBUREd0vqxz5rKxuwKEz\nZfD1cED3MA/RcYiITJK7sx36Rvkg9fQlnMq9gpgwT9GRSIDfcmsUQ/nyy69v2zZr1px2z0FERIZl\nlSOfO44WQqeXkBwXCLlMJjoOEZHJGhHXdE38rdkiRERERG1ldc1nfYMWKenFcFbboF9XH9FxiIhM\nmr+3I6JD3JFVeA15pddFxyEiIiIzZnXN5570EtQ36DAs1h8qpUJ0HCIikzfi5orgmzn6SURERPfB\nqppPrU6P7UcLYatSYHAvP9FxiIjMQpcgNwT6OOJY1mVcvlYvOg4RERGZKatqPtPOlqGyugEDevhC\nbacSHYeIyCzIZDKM6BsISQK2pXH0k4iIiNrGappPSZKw5XAh5DIZhvcOEB2HiMis9In0hoezLfaf\nKkVNvUZ0HCIiIjJDVnOrlcyLV1FUXoO4Lt7wdLUXHYeIyKwo5HIk9QnENzvPY9fxIjzSP0R0JGon\nz+/6m0H39/GQt3/1+8ePH8WCBXMRHNz0HGtsbMSsWXMQHh5p0BxERNT+rGbkc8vNhTIe7BskOAkR\nkXka2MMXDrZK7DxWhEaNTnQcsmCxsb3xj3/8C//4x7/wzDN/xueffyI6EhERGYBVNJ/5l6px5mIl\nugS5IaiDk+g4RERmyc5GicG9/FBdp0Hq6Uui45CVqK6+DldXN9ExiIjIAKxi2u3Wmwtk3LpdABER\ntc3QWH9sTSvA1rQCDOzREXK5THQkskDHjh3FCy88C41Gg5ycbCxZ8q7oSEQtLF+aIjqC0QzNWSE6\nQqs8HfaEQfZjH7fFIPv5re51CYKlsvjm80rVDaSdvQw/LzWiQ9xFxyEiMmuujrbo17UD9p0qRXpO\nBXqFe4mORBYoNrY3Xn11CQCgoOAi/vSnp/Hddz/D1tZOcDIiIrofFj/tdvvRQuglCSPiAiGT8RN6\nIqL7lRzXNIvk1rX0JM7JkycxdepUAEB+fj4mTZqEyZMnY+HChdDr9YLTGYabm4foCEREZCBtGvms\nrq7GzJkzUVdXBxsbG7zzzjvw8jK9T7/rbmiw52QJ3Jxs0TfKR3QcIiKL0NFTjR6hHjiZewU5RVUI\n83cRHckqffbZZ9i0aRPs7ZtWcF+yZAlmzJiBvn37YsGCBdi5cyeSkpIEp2ybW9NuFQoF6upq8eKL\nMznqSURkAdrUfG7Y8P/bu/uoqMp9D+BfmEEUkBBFfIExbzkZmXnAkFKKiy+jczqVGc7ES4flsndT\nVubrIXyN9N7lqiQlU1Nvgi+sXJl184SGecBCU/GqxSGxKyApLykyQMLM7PsHB662UMZhZp7Zm+/n\nL2Zmz8z3t9hr7+e3Z+9n74FWq8X8+fOxe/dubN68GQsXLnR0ti7LO3kR15steHLs3VBKsZh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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(2, 2, figsize=(16, 10))\n", + "axes = axes.ravel()\n", + "df.plot.bar(ax=axes[0])\n", + "sns.distplot(df.A, ax=axes[1])\n", + "axes[2].plot(np.linspace(-3, 3, 10), -np.linspace(-3, 3, 10) ** 2)\n", + "df.plot.barh(stacked=True, ax=axes[3]);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Има още доста:\n", + "\n", + "* Легенди\n", + "* Оси\n", + "* Рисуване на точки\n", + "* Какво ли още не\n", + "\n", + "Четете си отделно." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Въпроси" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "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": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lectures/13-linear-logistic-regression-math.ipynb b/lectures/13-linear-logistic-regression-math.ipynb new file mode 100644 index 0000000..284a5dd --- /dev/null +++ b/lectures/13-linear-logistic-regression-math.ipynb @@ -0,0 +1,3624 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Математиката зад линейна и логистична регресия" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import mglearn\n", + "\n", + "from IPython.display import display\n", + "\n", + "import warnings\n", + "warnings.filterwarnings(action=\"ignore\", module=\"scipy\", message=\"^internal gelsd\")\n", + "warnings.filterwarnings(action=\"ignore\", module=\"sklearn\", message=\"^Objective did not\")\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще се опитаме да формулиране проблема на линейната регресия по-формално. Ще вкараме някаква доза математика за да са по-точни нещата. След това ще се направим имплементация на базата на тази формула.\n", + "\n", + "Нотацията леко ще се различава от тази в scikit-learn за да е консистентна с материала по темата (например курса на Andrew Ng)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Първо ще разгледаме линейна регресия с една променлива. Веднъж разбрали това, нещата се генерализират лесно." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Нотация\n", + "\n", + "Ще ползваме нотацията на Andrew Ng." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " $x_1$ $x_2$ $x_3$ $y$\n", + "1 1 2 3 6\n", + "2 5 6 7 18\n", + "3 8 9 10 27\n", + "4 11 12 13 36" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame([[1, 2, 3, 6], [5, 6, 7, 18], [8, 9, 10, 27], [11, 12, 13, 36]], columns=['$x_1$', '$x_2$', '$x_3$', '$y$'], index=[1, 2, 3, 4])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* $m$ е броя елементи в training set-а\n", + "* $n$ е броя feature-и\n", + "* $X$ е $m \\times n$ матрица с стойностите на feature-ите за всеки ред\n", + "* $y$ е вектор с label-ите\n", + "* $x^{(i)}$ е $i$-тия ред от feature-ите. Обърнете внимание, че $(i)$ не е степен.\n", + "* $x^{(i)}_j$ е $j$-тия feature ($x_j$) на $i$-тия ред. Отново, $(i)$ не е степен.\n", + "* $y^{(i)}$ е $i$-тия target" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Колко са $m$, $n$, $x^{(2)}$, $x^{(3)}_1$ и $y^{(1)}$?" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "$m = 4$, $n = 3$, $x^{(2)} = (5, 6, 7)$, $x^{(3)}_1 = 8$, $y^{(1)} = 6$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Формулировка на проблема\n", + "\n", + "Имаме някакви данни, за които ще търсим линейна функция, която ги апроксимира." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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$x_1$$y$
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" + ], + "text/plain": [ + " $x_1$ $y$\n", + "1 0.882026 0.200079\n", + "2 0.693451 1.324528\n", + "3 1.341942 -0.080476\n", + "4 1.087289 0.536566\n", + "5 0.764717 1.021626\n", + "6 1.092430 1.747545\n", + "7 1.605009 1.285327\n", + "8 1.650503 1.595409\n", + "9 2.379693 1.530074\n", + "10 1.993269 1.409687\n", + "11 0.764321 2.367626\n", + "12 2.677116 1.873815\n", + "13 3.583857 1.721797\n", + "14 2.675940 2.559469\n", + "15 3.623532 3.591822\n", + "16 3.138698 3.250306\n", + "17 2.821413 2.274908\n", + "18 3.295432 3.547562\n", + "19 4.288615 4.274659\n", + "20 3.683888 3.726400" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame(points, columns=['$x_1$', '$y$'], index=range(1, m + 1)).head(20)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще наричаме функцията \"хипотеза\":\n", + "\n", + "$$h_\\theta(x) = \\theta_0 + \\theta_1 x_1$$\n", + "\n", + "Тук:\n", + "\n", + "* $\\theta$ е вектор от коефициенти\n", + "* $h_\\theta$ е хипотезата с определените в $\\theta$ коефициенти\n", + "* $\\theta_i$ е $i$-тия компонент на вектора $\\theta$ (още $i$-тия коефициент)\n", + "* $\\theta_0$ е свободния член във хипотезата" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Друга нотация е $\\hat y$, което е просто кратък запис на хипотезата са даден ред:\n", + "\n", + "$$\\hat y = h_\\theta(x)$$\n", + "\n", + "И разбира се:\n", + "\n", + "$$\\hat{y}^{(i)} = h_\\theta(x^{(i)})$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще е полезно за всяка хипотеза да имаме функция, която оценява колко добре се справя. Тази функция е добре да бъде неотрицателна, като по-малки стойности значат по-добро справяне. Ще я наричаме cost функция. За линейна регресия може да ползваме средната квадратна грешка:\n", + "\n", + "$$\n", + "J(\\theta)\n", + "= \\frac{1}{2m}\\sum_{i=1}^m \\Big(\\hat{y}^{(i)} - y^{(i)}\\Big) ^ 2\n", + "= \\frac{1}{2m}\\sum_{i=1}^m \\Big(h_\\theta(x_1^{(i)}) - y^{(i)}\\Big) ^ 2\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Така линейната регресия се свежда до много по-прост и разбираем проблем – да намерим глобален минимум на $J(\\theta)$, който да ползваме.\n", + "\n", + "Обърнете внимание, че:\n", + "\n", + "* Функцията е винаги неотрицателна, т.е. оптималния възможен минимум за някакъв dataset е 0.\n", + "* Функцията е изпъкнала (всъщност, квадратна, макар и в две измерения), което ще рече, че има един минимум.\n", + "* 0 не е гарантиран минимум за всеки dataset. В интерес на истината, може да стигнем до 0 само ако всички точки лежат на една права." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Как да намерим минимум, обаче?" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Gradient Descent\n", + "\n", + "Това е алгоритъм за намиране на минимум на функция. Не е нужно да знаем каква е функцията символично, а само да можем да я изчислим. Първоначално нека го разгледаме извън контекста на линейната регресия.\n", + "\n", + "Ще трябва да си припомним малко училищен анализ." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "def draw_derivative(func, x, bounds):\n", + " (a, b) = bounds\n", + " epsilon = (b - a) * 0.0001\n", + " y = func(x)\n", + " dx = (func(x + epsilon) - y) / epsilon\n", + " di = y - dx * x\n", + " \n", + " xs = np.linspace(a, b, 400)\n", + " ys = func(xs)\n", + " \n", + " span = ys.max() - ys.min()\n", + " \n", + " fig, ax = plt.subplots(figsize=(10, 6))\n", + " plt.plot(xs, ys)\n", + " plt.plot([x], [func(x)], marker='o', color='r')\n", + " plt.plot(xs, (xs * dx + di), color='r')\n", + " plt.grid()\n", + " ax.axhline(color='k')\n", + " ax.axvline(color='k')\n", + " ax.set_ylim(ys.min() - 0.1 * span, ys.max() + 0.1 * span)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще разгледаме $x^2 + 0.2$ и нейната производна в някои точки. Тази функция също е изпъкнала." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Какъв е знака на производната в тази точка ($x = 1$)?" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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0agWTJkFwsOtDyt+oNJUyhmEwpG8Tiuwmgydv1W06EREP9OmCPew9cZZ3bmhC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\nbmpZDf9/uhX3X8uWQd++0KQJTJ8OYWG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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_derivative(lambda x: x**2 + 0.2, 1.0, (-2, 2))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Знакът е положителен, защото функцията расте." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Каква е стойността на променливата в тази точка ($x = 0.5$), сравнение с предишната?" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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zLqlBEUH+vH5ZJzKyCnjmex3qKyJSGZ/8toNF2zJ57JzWNI8KNR3HM/zyC3Tv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\nyGpNMfYt0zQNcRmp4xzqcGBjzfVN7PrEt7MAnpH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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_derivative(lambda x: x**2 + 0.2, 0.5, (-2, 2))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Стойността е по-малка, понеже функцията расте по-бавно." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Какъв е знакът тук ($x = -1$)?" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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J3IYRFUXk8sXkhEfS7N6BrJ+93OpIIuKmth09yz1T1hFfKURLC0iZ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\n1eUv6/v4W+kmiickXd6a0tpCp37Os/qKpD2Stkm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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_derivative(lambda x: x**2 + 0.2, -1.0, (-2, 2))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Знакът е отрицателен, защото функцията намалява." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "А тук ($x = 0$)?" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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y235szKvAExcmoleQl+o4ZEEdHp6TUm4CIKyQhRQa2isAd4yOxvupBRibEIKJ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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_derivative(lambda x: x**2 + 0.2, 0.0, (-2, 2))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Производната е 0, защото има локален минимум." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "И финално, каква е връзката между стойността на производната в тази точка и червената права?" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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0agWTJkFwsOtDyt+oNJUyhmEwpG8Tiuwmgydv1W06EREP9OmCPew9cZZ3bmhC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\nbmpZDf9/uhX3X8uWQd++0KQJTJ8OYWG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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_derivative(lambda x: x**2 + 0.2, 1.0, (-2, 2))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Стойността на производната е тангенса на ъгъла между червената права и абцисата." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "С други думи, производната в дадена точка ни дава информация в каква посока трябва да се предвижим, ако искаме се приближим към най-близкия локален минимум.\n", + "\n", + "Просто трябва да повторим следната операция (с подходящо избрано число $\\alpha$) определен брой пъти $N$:\n", + "\n", + "$$ x := x - \\alpha f'(x) $$\n", + "\n", + "За начало може да инициализираме $x$ с произволна точка. При достатъчен брой итерации (и достатъчно малка $\\alpha$) ще стигнем до минимума." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "from itertools import tee\n", + "\n", + "def pairwise(iterable):\n", + " a, b = tee(iterable)\n", + " next(b, None)\n", + " return zip(a, b)\n", + "\n", + "def draw_gradient_descent(func, start, alpha, iterations, region):\n", + " (a, b) = region\n", + " epsilon = 0.00001\n", + " steps = [start]\n", + " x = start\n", + "\n", + " for _ in range(iterations):\n", + " dx = (func(x + epsilon) - func(x)) / epsilon\n", + " x -= alpha * dx\n", + " steps.append(x)\n", + " \n", + " xs = np.linspace(a, b, 400)\n", + " ys = func(xs)\n", + " \n", + " fig, ax = plt.subplots(figsize=(10, 6))\n", + " plt.plot(xs, ys)\n", + " plt.grid()\n", + " ax.axhline(color='k')\n", + " ax.axvline(color='k')\n", + " \n", + " for (xa, xb) in pairwise(steps):\n", + " ya = func(xa)\n", + " yb = func(xb)\n", + " plt.annotate('', xy=(xa, ya), xycoords='data',\n", + " xytext=(xb, yb), textcoords='data', size=25,\n", + " arrowprops={'arrowstyle': '<-', 'ec': 'r', 'lw': 2})" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ако изберем $\\alpha$ и $N$ подходящо, с градиентно спускане може да намерим минимума:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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T1lKhSDBDO2gCVF+m0CUiIgKwcSN07QoJCfDaa9Cli8tNXo6Np//Xq7kcG8/o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\nd43+k4NnLjGsYx2m921C9eL5PF21iGQ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_gradient_descent(lambda x: x**2 + 0.2, start=4.0, alpha=0.3, iterations=4, region=(-2.0, 4.1))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ако $\\alpha$ е твърде малко, вероятно няма да ни стигнат итерациите:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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n4gGvtbbAGDMMeMpae8iryRljxgBjAFJTU3u99dZbVcp1NAUFBcTGxlbrPmoL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\nSXRvWk/z80SkVlPpkqCTHBfFecc35bz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PH/jyS7t6NWqUjX/w9YU//oAbboDwcBsT8f33draiiHi0t/9cTRl/X27tUtvt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\nxlp7YQ9gTAPga+BJa+17xpg8a220y+cPW2sbVvN144BxAPH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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_gradient_descent(lambda x: x**2 + 0.2, start=4.0, alpha=1.22, iterations=3, region=(-12.0, 12.1))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да имплементираме прост алгоритъм, който взема производната на функция и работи с нея:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "f = lambda x: x**2 + 2 * x + 1\n", + "df = lambda x: 2*x + 2" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "def gradient_descent(derivative, start, alpha, iterations):\n", + " x = start\n", + " for _ in range(iterations):\n", + " x -= alpha * derivative(x)\n", + " return x" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.0000000000000004" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x_min = gradient_descent(df, start=-10.0, alpha=0.1, iterations=1000)\n", + "x_min" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f(x_min)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ако не знаехме производната, можехме да се оправим и по селския начин:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "def gradient_descent(func, start, alpha, iterations):\n", + " epsilon = 0.0000001\n", + " x = start\n", + " for _ in range(iterations):\n", + " dx = (func(x + epsilon) - func(x)) / epsilon\n", + " x -= alpha * dx\n", + " return x" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.000000065177744" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x_min = gradient_descent(f, start=-10.0, alpha=0.01, iterations=1000)\n", + "x_min" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Резултата, разбира се, е по-неточен, защото така производната е по-неточна." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Повече измерения\n", + "\n", + "При повече измерения вземаме частните производни по всяко и създаваме вектор от тях. Този вектор ни е градиента, по който се движим:\n", + "\n", + "$$ x_j := x_j - \\alpha \\frac{\\partial}{\\partial x_j}f(x) $$\n", + "\n", + "Ако не помните какво е частна производна – третираме всички други променливи, освен $x_j$ като константи и дифиренцираме." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "![](https://am207.github.io/2017/wiki/gradientdescent_files/gradientdescent_19_0.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Gradient Descent върху линейна регресия" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Връщайки се на линейната регресия, трябва да оптимизираме следната функция.\n", + "\n", + "$$\n", + "J(\\theta) = \\frac{1}{2m}\\sum_{i=1}^m \\Big(h_\\theta(x_1^{(i)}) - y^{(i)}\\Big) ^ 2\n", + "$$\n", + "\n", + "Тя е изпъкнала и неотрицателна. Трябва да й сметнем производната. Преди това, нека я променим малко." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "За да може да работим в вектори, нека да въведем константен feature $x_0 = 1$, така че да имаме $x = (x_0, x_1) = (1, x_1)$.\n", + "\n", + "По този начин работим с вектори с еднаква форма:\n", + "\n", + "$$ x = (x_0, x_1) $$\n", + "$$ \\theta = (\\theta_0, \\theta_1) $$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Тогава функцията е:\n", + "\n", + "$$\n", + "J(\\theta) = \\frac{1}{2m}\\sum_{i=1}^m \\Big(h_\\theta(x^{(i)}) - y^{(i)}\\Big) ^ 2\n", + "$$\n", + "\n", + "И:\n", + "\n", + "$$\n", + "h_\\theta(x) = \\theta_0 x_0 + \\theta_1 x_1\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Трябва да сметнем:\n", + "\n", + "$$\n", + "\\frac{\\partial}{\\partial \\theta_j} J(\\theta) =\n", + " \\frac{\\partial}{\\partial \\theta_j} \\frac{1}{2m}\\sum_{i=1}^m \\Big(h_\\theta(x^{(i)}) - y^{(i)}\\Big) ^ 2\n", + "$$\n", + "\n", + "Да опростим тая сметка, нека да я видим само с един член от сумата:\n", + "\n", + "$$\n", + "\\begin{align*}\n", + "\\frac{\\partial}{\\partial \\theta_j}J(\\theta) &=\n", + " \\frac{\\partial}{\\partial \\theta_j}\\frac{1}{2}\\big(h_\\theta(x) - y)\\big)^2 \\\\\n", + " &= 2 \\cdot \\frac{1}{2}\\big(h_\\theta(x) - y \\big) \\cdot \\frac{\\partial}{\\partial \\theta_j}\\big(h_\\theta(x) - y\\big) \\\\\n", + " &= \\big(h_\\theta(x) - y\\big) \\cdot \\frac{\\partial}{\\partial \\theta_j} \\Bigg( \\sum_{i=0}^n \\theta_i x_i - y \\Bigg) \\\\\n", + " &= \\big(h_\\theta(x) - y\\big) x_j\n", + "\\end{align*}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Частната производна по $\\theta_j$ е:\n", + "\n", + "$$\n", + "\\frac{\\partial}{\\partial \\theta_j}J(\\theta) = \\frac{1}{m}\\sum_{i=1}^m\\Big(\\big(h_\\theta(x^{(i)}) - y^{(i)}\\big)x_j^{(i)}\\Big)\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "За градиентно спускане трябва да обновяваме коефициентите така:\n", + "\n", + "$$\n", + "\\begin{align*}\n", + "\\theta_0 &:= \\theta_0 - \\alpha \\frac{1}{m}\\sum_{i=1}^m\\big(h_\\theta(x^{(i)}) - y^{(i)}\\big) \\\\\n", + "\\theta_1 &:= \\theta_1 - \\alpha \\frac{1}{m}\\sum_{i=1}^m\\Big(\\big(h_\\theta(x^{(i)}) - y^{(i)}\\big)x_1^{(i)}\\Big)\n", + "\\end{align*}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека се опитаме да имплементираме тази сметка в NumPy с векторизация. Ще даваме стъпка по стъпка, за да е по-ясно.\n", + "\n", + "Най-лесно ще е да илюстрираме това с dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "plt.rc('figure', figsize=(12, 8))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "np.random.seed(0)\n", + "m = 20\n", + "line = np.linspace(0, 10, m)\n", + "points = np.random.randn(m, 2) * 0.5 + line.reshape(-1, 1)\n", + "X = np.hstack([np.ones((m, 1)), points[:, 0].reshape(-1, 1)])\n", + "y = points[:, 1]\n", + "plt.scatter(points[:, 0], points[:, 1])\n", + "plt.ylim(0, 10);" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1. , 0.88202617],\n", + " [ 1. , 1.01568478],\n", + " [ 1. , 1.98641057],\n", + " [ 1. , 2.05399158],\n", + " [ 1. , 2.05365373],\n", + " [ 1. , 2.70360073],\n", + " [ 1. , 3.5384136 ],\n", + " [ 1. , 3.90614214],\n", + " [ 1. , 4.95756585],\n", + " [ 1. , 4.89337596],\n", + " [ 1. , 3.98666299],\n", + " [ 1. , 6.22169178],\n", + " [ 1. , 7.45066679],\n", + " [ 1. , 6.86498452],\n", + " [ 1. , 8.13481066],\n", + " [ 1. , 7.97221055],\n", + " [ 1. , 7.97715976],\n", + " [ 1. , 8.77341235],\n", + " [ 1. , 10.08882955],\n", + " [ 1. , 9.80633659]])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.2000786 , 1.64676239, 0.56399264, 1.50326876,\n", + " 2.31056241, 3.3587157 , 3.21873225, 3.85104769,\n", + " 4.10794718, 4.30979424, 5.58996719, 5.41839117,\n", + " 5.58860664, 6.74851334, 8.10310044, 8.0838181 ,\n", + " 7.4306544 , 9.02554291, 10.07487413, 9.84884862])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Първо ще ползваме scikit-learn да натренираме една линейна регресия, за да видим какъв резултат тъсрим:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.15200408, 0.98817937])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "model = LinearRegression().fit(points[:, :-1], points[:, 1])\n", + "best_theta = np.array([model.intercept_, *model.coef_])\n", + "best_theta" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ако я начертаем, изглежда убедително:" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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jBpxxBoSQdmWSlHsMw5KUQ+bOjb3Bt94aj1KeOhV+9au0q5Kk3GUYlqQcsHQp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\ntqGoebMVrhU1b0bvjm0y8vr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g5XrUQEmSvAh8/L3LhwL3LPv8HqBTkxbVAPkehvPiyGit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\nJKlgGYYlSZJUsAzDkiRJKlj/DwptXHjUzfOQAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(points[:, 0], points[:, 1])\n", + "plt.plot(line, best_theta[1] * line + best_theta[0], color='b')\n", + "plt.ylim(0, 10);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ние, обаче, ще започнем с по-лоша $\\theta$:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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joWZNmDIFrr46/Fj6IXuGJSmTvPEGtGsHf/5z2DIn6Wc++CC0RcyYEe6W3nsvbLll0qmU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\nfx5ulG27bdKJKqW4OKxR7t4d9twzLNJ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "theta = np.array([-1., 1.8])\n", + "plt.scatter(points[:, 0], points[:, 1])\n", + "plt.plot(line, best_theta[1] * line + best_theta[0], color='b')\n", + "plt.plot(line, theta[1] * line + theta[0], color='r')\n", + "plt.ylim(0, 10);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Сега ще стъпим през една итерация на gradient descent, опитвайки се да го имплементираме с NumPy." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще започнем с хипотезата:\n", + "\n", + "$$\n", + "\\frac{1}{m}\\sum_{i=1}^m\\Big(\\big(\\bbox[yellow]{h_\\theta(x^{(i)})} - y^{(i)}\\big)x_j^{(i)}\\Big)\n", + "$$\n", + "\n", + "Понеже $h_\\theta(x) = \\theta_0 x_0 + \\theta_1 x_1 = \\theta^T x$, може да го пренапишем така:\n", + "\n", + "$$\n", + "\\frac{1}{m}\\sum_{i=1}^m\\Big(\\big(\\bbox[yellow]{\\theta^T x^{(i)}} - y^{(i)}\\big)x_j^{(i)}\\Big)\n", + "$$\n", + "\n", + "Резултата ще бъде NumPy масив с $m$ елемента, всеки от който съдържа предвидената стойност за ред от $X$:" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.58764711, 0.82823261, 2.57553903, 2.69718484,\n", + " 2.69657672, 3.86648132, 5.36914448, 6.03105586,\n", + " 7.92361853, 7.80807672, 6.17599338, 10.19904521,\n", + " 12.41120021, 11.35697214, 13.64265919, 13.349979 ,\n", + " 13.35888756, 14.79214222, 17.15989319, 16.65140586])" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X @ theta" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще продължим с изваждането на $y$:\n", + "\n", + "$$\n", + "\\frac{1}{m}\\sum_{i=1}^m\\Big(\\bbox[yellow]{\\big(\\theta^T x^{(i)} - y^{(i)}\\big)}x_j^{(i)}\\Big)\n", + "$$\n", + "\n", + "Резултата вече трябва да бъде грешката за всеки от елементите:" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.38756851, -0.81852978, 2.01154639, 1.19391607, 0.38601431,\n", + " 0.50776562, 2.15041223, 2.18000817, 3.81567135, 3.49828249,\n", + " 0.58602618, 4.78065404, 6.82259358, 4.6084588 , 5.53955875,\n", + " 5.2661609 , 5.92823317, 5.76659932, 7.08501906, 6.80255724])" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X @ theta - y" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека добавим и умножението по $x_j$:\n", + "\n", + "$$\n", + "\\frac{1}{m}\\sum_{i=1}^m\\Big(\\bbox[yellow]{\\big(\\theta^T x^{(i)} - y^{(i)}\\big)x_j^{(i)}}\\Big)\n", + "$$\n", + "\n", + "Тук ще ползваме broadcasting. Резултата ще бъде $n \\times m$ матрица, където всеки ред ще съдържа резултатите от това произведение за определен feature. Първия е за $x_0$, втория е за $x_1$:" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.38756851, -0.81852978, 2.01154639, 1.19391607,\n", + " 0.38601431, 0.50776562, 2.15041223, 2.18000817,\n", + " 3.81567135, 3.49828249, 0.58602618, 4.78065404,\n", + " 6.82259358, 4.6084588 , 5.53955875, 5.2661609 ,\n", + " 5.92823317, 5.76659932, 7.08501906, 6.80255724],\n", + " [ 0.34184557, -0.83136824, 3.99575703, 2.45229356,\n", + " 0.79273973, 1.3727955 , 7.60904789, 8.51542177,\n", + " 18.91644199, 17.1184114 , 2.3362889 , 29.74375594,\n", + " 50.83287136, 31.63699834, 45.06326157, 41.98294349,\n", + " 47.29046305, 50.59275365, 71.47954963, 66.70816597]])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(X @ theta - y) * X.T" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека добавим и сумата:\n", + "\n", + "$$\n", + "\\frac{1}{m}\\bbox[yellow]{\\sum_{i=1}^m\\Big(\\big(\\theta^T x^{(i)} - y^{(i)}\\big)x_j^{(i)}\\Big)}\n", + "$$\n", + "\n", + "Резултата ще бъде масив с градиентите за всеки един от feature-ите. Да не забравяме да сумираме по правилната ос:" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 68.49851638, 497.95043809])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "((X @ theta - y) * X.T).sum(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Финално, трябва да разделим на m:\n", + "\n", + "$$\n", + "\\bbox[yellow]{\\frac{1}{m}\\sum_{i=1}^m\\Big(\\big(\\theta^T x^{(i)} - y^{(i)}\\big)x_j^{(i)}\\Big)}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 3.42492582, 24.8975219 ])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "((X @ theta - y) * X.T).sum(1) / m" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да ползваме този градиент да получим по-добро приближение на най-добрата линейна регресия:" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.06849852, 1.30204956])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gradient = ((X @ theta - y) * X.T).sum(1) / m\n", + "theta1 = theta - 0.02 * gradient\n", + "theta1" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Като го начертаем, виждаме, че новата линия е по-добра апроксимация" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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vww1/0DcsIlJsKsMiIhs3Qq9ecMcdsGgRlCtnOpH81v65sO0JCKoC92+AWm1M\nJxIRH6EyLCL+LSUFunaFxo1h5UqoVMl0IvmlvPOQOhq+fAVqtoE28yG4julUIuJDVIZFxH+lp0N0\nNFSv7swTrlHDdCL5pTOZsOUh+GELhD0N4S9AQJDpVCLiY1SGRcQ/HTwIERHOndM1a6BuXdOJ5JeO\nJELSQ5BzAlrNhYa9TScSER+lMiwi/icrCyIj4fhx577wDTeYTiQX2Dakvwypo6BSI2ifACHNTKcS\nER+mMiwi/uXkSejYEfbvh/h4CA83nUguyDkF2wfBgQ+cucEtZ0LZqqZTFcri1Axi49PJzHYRGhLM\n6KgwYsL1UwcRT6YyLCL+4+xZiImB1FRnasS995pOJBec+BISu8GJPXDrZLjpGbC8ay/U4tQMxsWl\n4crJAyAj28W4uDQAFWIRD+ZdX2lERIoqNxf69oX16+Hdd6FLF9OJ5IKDiyH+Tjh7GNrFQ9OxXleE\nAWLj038uwhe4cvKIjU83lEhECsL7vtqIiBSWbcOTTzqnwVOmQP/+phMJQH4efDwOEh+EyjdA9C64\nuoPpVEWWme0q1Osi4hl0TUJEfN+YMTB9OkyYACNGmE4jAGd/gOS+cHgtXDfY2SgXWN50qmIJDQkm\n4yLFNzQk2EAaESkonQyLiG974QWIjYWhQ2HiRNNpBODHHbD6Dmd8WovpcNc0ry/CAKOjwggO+vUa\n7+CgQEZHhRlKJCIFoZNhEfFd77zjnAr37g1TpzozhcWsvW/Dzt87W+Qit0D1O0wncpsLD8lpmoSI\nd1EZFhHftHAhDBnibJibORMC9IMwo3JdTgneNwOujoTW70M539v4FxNeV+VXxMuoDIuI71m3zpkc\n0bIlLFgAZcuaTuTfTu2HxO5wbBc0HQ83PwcBgVd6LxGRUqEyLCK+Zft2+N3vICwMli+HihVNJ/Jv\nmfHOg3J2Hty7FK7RSDsR8Sz6uaGI+I7PP3e2y9Wq5WyXq1bNdCL/ZefDp3+DjR2hQl2I3qkiLCIe\nSSfDIuIbDhyAyEjnSkRCAtSpYzqR/zqfDVsfgYxl0KAvtHgLyuiEXkQ8k8qwiHi/I0cgIgJOn4ZN\nm6BxY9OJ/Fd2GmzuBqf3wx1T4YZhmuIhIh5NZVhEvNvx487EiEOHnBPhW24xnch/fTMHtg+CsiHQ\nYSPUbG06kYjIFakMi4j3crmga1dIS4OlS6G1ypcReechdRR8ORVq3Qut50Hw1aZTiYgUiMqwiHin\n3FxnmUZiIsyZ4zw4J6XvTCYk9YSsZGjyJ7jtHxAQZDqViEiBqQyLiPfJz4eBA53T4Ndegz59TCfy\nT0c2Q9JDkHsKWn8ADXqZTiSmECjlAAAgAElEQVQiUmgarSYi3sW2YeRImDULnn8ehg41ncj/2DZ8\n8RKsaw9BVSFym4qwiHgtnQyLiHeZNAmmTIHhw2H8eNNp/E/OKdj2BHw7D655EO5+D4KqmE4lIlJk\nKsMi4j3eeMMpwP36wUsvaWRXaTuRDond4MQXzt3gG5/R/wci4vVUhkXEO3zwAQwbBp07w4wZEKBb\nXqXq4CLY+igEloN2a+Dq+00nEhFxC/1pIiKeb/Vq6N8f2rSB+fMhSNMKSk1+Lnw8zjkRrtIEolNU\nhEXEp+hkWEQ8W3IydO8OzZrBsmUQHGw6kf84+wNs6QPfr4PrhsAdLzsnwyIiPkRlWEQ8V1oadOoE\noaHO6XDVqqYT+Y+s7ZDUA84egRYzoPFjphOJiJQIlWER8Uz79kFUFFSo4KxZrl3bdCL/YNvw9duw\n8w8QHAqRyVD9dtOpRERKjMqwiHiew4chMhLOnYPNm6FhQ9OJ/EOuC3YOg33vQp0oaDUHytUwnUpE\npESpDIuIZ8nOdk6EDx+GdeugaVPTifzDqf2Q2B2O7YJmE6DZsxAQaDqViEiJK1YZtiwrBHgHaAbY\nwOO2bW91RzAR8UNnzjij0/bsgRUroEUL04n8Q2Y8JPcFOw/uWwZ1O5tOJCJSaop7MvwysNq27R6W\nZZUFKrghk4j4o5wc6NnTmR4xbx5ERJhO5PvsfPj075D2LITcDPcshMrXmU4lIlKqilyGLcuqCtwL\nDACwbfs8cN49sUTEr+Tnw4ABsHIlTJvmlGIpWeezIbk/ZC6Hhv3grmlQRucZIuJ/irN041rgB+Bd\ny7JSLct6x7Ksir99I8uyBluWtdOyrJ0//PBDMT6diPgk24YRI+D992HSJBg82HQi33fsE1jdHL5b\nDc1fhbtnqQiLiN8qThkuA9wOvGHbdjhwGhj72zeybfst27ab27bdvGbNmsX4dCLikyZOhFdfhZEj\nYez/fAkRd/tmNqxpCXku6LAJbhgGlmU6lYiIMcUpw4eAQ7Ztb/vpnxfglGMRkYJ55RWnDD/2GMTG\nqpSVpLzzzuzgrf2hxp3OWuWarUynEhExrsh3hm3bPmxZ1kHLssJs204H7gc+d180EfFps2c71yNi\nYuCtt1SES9KZTEjqCVnJ0ORPcNs/ICDIdCoREY9Q3GkSfwDm/DRJYh+gfZ0icmUrVjgPzLVrB3Pn\nQhmNPC8x32+CLb0g9xS0ngcNHjKdSETEoxTrTyDbtj8Gmrspi4j4g8RE6NEDbrsNFi+G8uVNJ/JN\ntg1fvAQfP+OMS7t/PVS9yXQqERGPo+MYESk9H3/sLNVo0ABWrYIqVUwn8k05p2DbQPh2PtTrBi3f\nhSD9by0icjEqwyJSOr76ylmzXKUKrFkDmi5TMk6kQ2I3OPEF3PZPuHG07mOLiFyGyrCIlLyMDIiM\ndJZrJCRA/fqmE/mmg3GwdQAEloN2a+Dq+00nEhHxeCrDIlKyjh51ToSzsmDDBmjSxHQi35OfC5+M\nh8//CTXugjYLoGI906lERLyCyrCIlJxTp+CBB5wrEqtWQXM9b+t2Z4/Alj7w/Xq47km4Y4pzMiwi\nIgWiMiwiJePcOejeHXbsgIULoX1704l8T9Y2SOoB57Kch+QaDTCdSETE66gMi4j75eVB//7Og3Iz\nZjiLNYpgcWoGsfHpZGa7CA0JZnRUGDHhdd0c1gvZNux9C1KGQ3AoRCRD9XDTqcQD6feQyJWpDIuI\ne9k2DBsGH37orFh+rGi7eBanZjAuLg1XTh4AGdkuxsWlAfj3H+a5Ltg5FPa9B3WiodUcKFfddCrx\nQPo9JFIwAaYDiIiPGT8epk2DsWNh1Kgif5jY+PSf/xC/wJWTR2x8enETeq9T30BCa6cIN3sW7luu\nIiyXpN9DIgWjk2ERcZ8XX4RJk2DQIOfXYsjMdhXqdZ+XuQqSH3ZO3u9bDnU7mU4kHk6/h0QKRifD\nIuIe770HI0c6q5bfeKPYix5CQ4IL9brPsvMh7XnY2Akq1IfonSrCUiD6PSRSMCrDIlJ8S5bAE09A\nRATMng2BgcX+kKOjwggO+vXHCQ4KZHRUWLE/ttc4fww2dYW0Z6FhP4hMhsqNTacSL6HfQyIFo2sS\nIlI8GzdCr17ODOG4OCjnnhm3Fx7w8dsn4Y/tdtYqnzkIzV+D65/SWuWfaEJCwfj97yGRArJs2y61\nT9a8eXN7586dpfb5RKSEpaRAu3ZQrx5s3gw1aphO5Bu+mQ3bB0PZas42uZp3m07kMX47IQGc087J\n3W5WyRORn1mWlWLbdoE2PemahIgUTXo6REdD9erOPGEV4eLLOw87fg9b+ztrlaN3qQj/hiYkiIi7\n6ZqEiBTewYPO/eCAAEhIgLo6kSu2MxmQ2AN+/AhuHAW3ToYAfYn+LU1IEBF301daESmcrCyIjITj\nx537wtdfbzqR9/t+I2zpBblnoM2HUL+H6UQeKzQkmIyLFF9NSBCRotI1CREpuJMnoWNH2L8fli2D\ncK0ALhbbhj3/hvUdnPvBUdtVhK9AExJExN10MiwiBXP2LMTEQGoqLFoE995rOpF3yzkJ2wbCtx9C\nve7QcgYEVTGdyuNpQoKIuJvKsIhcWW4u9O0L69fDrFnQpYvpRN7t+BfO2LST6XDbC84dYY1NK7CY\n8LoqvyLiNirDInJ5tg1PPumcBk+ZAv37m07k3b5dCB8NgMBgaL8WarcznUhExK/pzrCIXN6YMTB9\nOkyYACNGmE7jvfJzIfUZSOoBVZtCx10qwiIiHkAnwyJyaS+8ALGxMHQoTJxoOo33OnsEtvSG7zc4\nm+RufwkC3bOpT0REikdlWEQu7p13nFPh3r1h6lTdaS2qrG3OafC5LGj5HjR61HQiERH5BZVhEflf\nCxfCkCHOhrmZM53lGlI4tg17p0HKcAi+BiK3QrXbTKcSEZHfUBkWkV9bu9aZHNGypVOKy5Y1ncj7\n5Lpgx1PwzUwIfQBazXbmCIuIiMdRGRaR/9q+3ZklHBYGy5dDhQqmE3mfU/sgsTsc2w03PwfNJoCl\nk3UREU+lMiwijs8/d7bL1a4N8fFQTSeZhZa5CpIfdq5I3LcM6nYynUhERK5AxxUiAgcOQGSkcyUi\nIQHq1DGdyLvY+ZA2ETZ2ggr1oWOKirCIiJfQybCIvztyBCIi4PRp2LQJGjUynci7nD8Gyf0gcyU0\n7A93vQlldL1ERMRbqAyL+LPjx52JEYcOOSfCt9xiOpF3OfYxbO4GrkNw5+tw3ZMaQSci4mVUhkX8\nlcsFXbtCWhosWwatW5tO5F32zYIdQ6BsDeiwGa5qaTqRiIgUgcqwiD/KzXWWaSQmwpw5zumwFEze\nedj1R/jqdajVFtrMg/K1TKcSEZEiUhkW8Tf5+TBwICxdCq+9Bn36mE7kPc4cgsSe8ONHcONouHUS\nBOjLqIiIN9NXcRF/YtswciTMmgXPPw9Dh5pO5D2+3wBJvSDPBW0+hPo9TCcSERE30Gg1EX8yaRJM\nmQIjRsD48abTeAfbhs9jYX0HKFcDorarCIuI+BCdDIv4izfecApwv37w4ouaelAQOSfho8fg4EKo\n1wNazoCgyqZTiYiIG6kMi/iDefNg2DDo0gVmzIAA/VDoio7vgcRucPJLCI+FJiP1DYSIiA9SGRbx\ndfHx0L8/tGnjlOKgINOJPN+3H8JHj0NgMLRfC7XbmU4kIiIlRMdDIr4sORm6dYOmTZ1ZwsHBphN5\ntvxcSB0NSQ9B1WbQcZeKsIiIj9PJsIivSkuDTp0gNBRWr4aqVU0n8myu72FLbziyEa4fCre/CIHl\nTKcSEZESpjIs4ou++QaioqBiRWfNcu3aphN5th+2QlJPOP8jtJwJjR4xnUhEREqJyrCIrzl8GCIi\n4Nw52LwZGjY0nchz2TZ89Qbsehoq1IPIrVDtNtOpRESkFKkMi/iS7GznRPjwYVi3zrkrLBeXewa2\nPwn7/wOhD0Cr2VC2mulUIiJSylSGRXzFmTPQuTPs2QMrVkCLFqYTea6TX0Nid8j+BG5+DppNAEvP\nE4uI+COVYRFfkJMDPXs60yPmz3euScjFZayA5H7O39+3HOo+YDaPiIgYpaMQEW+Xnw8DBsDKlTBt\nGvTQquCLys+DT56FTZ2hUkPomKIiLCIiOhkW8Wq2DSNGwPvvw+TJMGiQ6USe6dxRSH4YvlsN1z4K\nd74BZTRzWUREVIZFvNvEifDqqzBqFIwZYzqNZzqa6qxVdmU4Jfi6IVqrLCIiP1MZFvFWU6c6Zfix\nx+CFF1TwLmbfTNjxJJStAR0S4So9VCgiIr+mMizijebMgeHDISYG3npLRfi38s5BytOw901nnXLr\nD6B8LdOpRETEA6kMi3ibFSvg0UehXTuYOxfK6Lfxr5w+CEk94MftcOMzcOvfIUD/G4mIyMXpTwgR\nb5KY6EyLuO02WLwYypc3ncizHF4PW3pB3lloswDqdzed6KIWp2YQG59OZraL0JBgRkeFERNe13Qs\nERG/pDIs4i1274YuXaBBA1i1CqpUMZ3Ic9g27ImF3eOgchjcEwdVm5hOdVGLUzMYF5eGKycPgIxs\nF+Pi0gBUiEVEDNCcYRFvsHevs2a5ShVISICaNU0n8hw5J5xrER+PgXrdIWqbxxZhgNj49J+L8AWu\nnDxi49MNJRIR8W86GRbxdBkZzka5vDxYswbq1TOdyHMc/9wZm3ZyL4T/G5r80eMfJszMdhXqdRER\nKVkqwyKe7OhR50Q4Kws2bIAmnnviWeoOzIdtj0OZitB+HdS+z3SiAgkNCSbjIsU3NERLQERETNA1\nCRFPdfo0dOrkXJFYuhSaNzedyDPk58Kukc6DciG3QPQurynCAKOjwggOCvzVa8FBgYyOCjOUSETE\nv+lkWMQTnTsH3brB9u2wcKEzRk3A9b1Tgo9sguuHwe0vQmBZ06kK5cJDcpomISLiGVSGRTxNXh48\n8ohzP3jGDGexhsAPyZDUE84fg7tnwbX9TScqspjwuiq/IiIeQmVYxJPYNgwbBvPnw7/+5axa9ne2\nDV++Bql/ggr1IHIrVLvVdCq30txhERFzVIZFPMn48TBtGowbByNHmk5jXu4Z2D4E9s+G0M7QahaU\nrWY6lVtp7rCIiFl6gE7EU7z4IkyaBIMHw9//bjqNeSf3wpq7Yf8cuPl5uG+JzxVh0NxhERHTin0y\nbFlWILATyLBtu3PxI4n4oZkznZPgnj3h9dc9flZuictYDsn9wAqAtishNNp0ohKjucMiIma542R4\nBLDHDR9HxD8tWQIDBzqLNf7zHwgMvPL7+Kr8PPjk/2BTF6jUCKJTfLoIw6XnC2vusIhI6ShWGbYs\n6xqgE/COe+KI+JmNG6FXL2eGcFwclCtnOpE5547Cps7w6V+h0WMQsQUqXWs6VYnT3GEREbOKe01i\nCvAMUNkNWUT8S0oKdO0KjRvDihVQqZLpROYc3QWJ3cGVCXdNg8aD/OaqiOYOi4iYVeQybFlWZ+CI\nbdsplmW1vczbDQYGA9SvX7+on07Et6SnQ3Q0VK/uzBOuUcN0InO+fhd2PAXla0KHRLjqLtOJSp3m\nDouImFOcaxKtga6WZe0HPgDaW5Y1+7dvZNv2W7ZtN7dtu3nNmjWL8elEfMTBg8794IAASEiAun5a\ngvLOOWPTtj0ONVs7a5X9sAiLiIhZRT4Ztm17HDAO4KeT4VG2bfdzUy4R35SVBZGRcPy4c1/4+utN\nJzLj9EHnWsTRHXDTWLjlryze/T2x8et1VUBEREqVlm6IlJaTJ6FjR9i/37kaER5uOpEZh9fBlt7O\nyfA9cVDvQS2eEBERY9yydMO27Y2aMSxyGWfPQkwMpKbChx/CPfeYTlT6bBs+/ydsiITytSB6B9R7\nENDiCRERMUcnwyIlLTcX+vaF9eudOcKd/fD7xpwTsHUAHFoE9XtBi3cg6L/TM7R4QkRETFEZFilJ\ntg1PPgmLFsHLL0M/P7xWn/0ZJHaDU1/D7S9B2Ij/GZsWGhJMxkWKrxZPiIhISXPLNQkRuYQxY2D6\ndPi//4Phw02nKX0H5sGaFpBzHO5fD02evuj8YC2eEBERU3QyLFJSXngBYmNh2DB47jnTaUpXfg6k\njoH0l+CqVtDmQ6gQesk31+IJERExRWVYpCS8845zKtynD7zyit9sUwPAdRi29IIjm+GGP0D4vyCw\n7BXfTYsnRETEBJVhEXdbuBCGDHHGqL33nrNcw1/8sAWSesL5bLh7Nlz7sOlEIiIil+VHf0qLlIK1\na53JES1bwoIFUPbKJ6I+wbYhfSqsbQuBFSDyIxVhERHxCjoZFnGX7dudWcJhYbB8OVSoYDpR6cg9\n7axV3j8H6naBu2dB2RDTqURERApEZVjEHT7/3LkWUbs2xMdDtWqmE5WOk3udsWnZn8Itf4Om48DS\nD5xERMR7qAyLFNeBAxAZ6VyJSEiAOnVMJyodh5bB1v5gBULbVRAaZTqRiIhIoekIR6Q4jhyBiAg4\nfRrWrIFGjUwnKnn5ebB7AmzuCpUaQ3SKirCIiHgtnQyLFNXx4xAdDYcOOQ/O3Xyz6UQl79yPsKUv\nHF4DjR6HO1+DwPKmU4mIiBSZyrBIUbhc0LUrpKXBsmXQqpXpRCXvaAokdgfXd3DXW3DdINOJRERE\nik1lWKSwcnOhVy9ITIT333dOh33d1zNgx1AoXwsikqDGnaYTiYiIuIXKsEhh5OfDwIHOafDrr0Pv\n3qYTlay8c5AyHPa+BbXvh9ZzoXxN06lERETcRmVYpKBsG0aOhFmz4Pnn4amnCvyui1MziI1PJzPb\nRWhIMKOjwjx/9fDpbyGxBxzdATeNg1v+CgGBplOJiIi4lcqwSEFNmgRTpsCIETB+fIHfbXFqBuPi\n0nDl5AGQke1iXFwagOcW4sNrYUtvyM+BexZBvRjTiUREREqERquJFMQbbzgFuH9/ePFFsKwCv2ts\nfPrPRfgCV04esfHp7k5ZfLYNn/0DNkRB+ashaoeKsIiI+DSdDItcyQcfwLBh0KULTJ8OAYX7HjIz\n21Wo1405fxw+GgCHFkP9XtDiHQiqZDqViIhIidLJsMjlrF7tnAbfcw/MmwdBQYX+EKEhwYV63Yjs\nzyD+LshYBre/5DwopyIsIiJ+QGVY5FKSk6F7d2jWDJYuheCildfRUWEEB/36wbPgoEBGR4W5I2Xx\n7f/AKcI5J+D+DdDk6cteA1mcmkHrf6zn2rEraP2P9SxOzSjFsCIiIu6laxIiF5OWBp06QWioczpc\ntWqRP9SFh+Q8bppEfg6kPgPpU6Bma2jzIQTXuey7eOXDgCIiIpehMizyW/v2QVQUVKwICQlQu3ax\nP2RMeF3PKouuw5D0EPyQCDcMh9v/BQFXvgJyuYcBPeq/n4iISAGpDIv80uHDEBkJ5845G+YaNjSd\nyP1+2AJJPZ0H5lrNgYZ9C/yuXvMwoIiISAHpzrDIBdnZzonw4cOwciXcdJPpRO5l25D+CqxtC4EV\nIeqjQhVh8JKHAUVERApBZVgE4MwZ6NwZ9uyBRYugRQvTidwr9zQk94OUERDaEaJ3QMjNhf4wHv8w\noIiISCHpmoRITg707OlMj5g/HyIiTCdyrxNfQWI3OP4Z3Pp3uGksWEX7PthjHwYUEREpIpVh8W/5\n+TBggHMt4q23oEcP04nc69BS2NrfeTiu3WqoE1nsD+lxDwOKiIgUg65JiP+ybRg+HN5/HyZPhkGD\nTCdyn/w82D0eNv8OKl8P0SluKcIiIiK+RifD4r8mToTXXoNRo2DMGNNp3Ofcj7ClLxxeA40HQvNX\nIbC86VQiIiIeSWVY/NMrrzhl+LHH4IUXLrtxzav8uBOSeoDrO7jrbbjuCdOJREREPJrKsPif2bNh\nxAiIiXHuCftKEf56OuwYBuVrQ0QS1LjTdCIRERGPpzIs/mXFCueBuXbtYO5cKOMDvwXyzsLOP8DX\n78DVEdDqfSh/lelUIiIiXsEHmoBIASUmOtMibrsNFi+G8j5wj/b0AUjsAUd3QtM/w83PQ0Dgld9P\nREREAJVh8Rcff+ws1WjQAFatgipVTCcqvu8SILkP5OfAvYvhmt+ZTiQiIuJ1NFpNfN9XXzlrlqtU\ngTVroGZN04mKx86HzybBxmgofzVE7VARFhERKSKdDItvy8iAyEhnuUZCAtSvbzpR8Zw/Dh89CoeW\nQIM+0OJtKFPRdCoRERGvpTIsvuvoUedEOCsLNmyAJk1MJyqe7E9h84Nwej/c8TLc8AffmYQhIiJi\niMqw+KZTp+CBB5wrEqtWQfPmphMVz/65sO0JCKoC92+AWm1MJxIREfEJKsPie86dg+7dYccOWLgQ\n2rc3najo8nMgdTSkvww120Cb+RBcx3QqERERn6EyLL4lLw/693celJsxw1ms4a1c30FST/hhC4SN\ngPBYCAgynUpERMSnqAyL77BtGDYMPvwQYmOdVcve6kgiJD0EOSecJRoN+5hOJCIi4pM0Wk18x/jx\nMG0ajB0Lo0aZTlM0tg1fvAzr2kNQZYjapiIsIiJSgnQyLL7hxRdh0iQYPNj51RvlnILtg+DAB87c\n4JYzoWxV06lERER8msqweL9334WRI51Vy6+/7p3jxk58CYnd4MQeuHUS3DQGLP3gRkREpKSpDIt3\nW7wYnngCIiJg9mwIDDSdqPAOLYGtjzgPx7VdDXUiTCcSERHxGzp6Eu+1cSP07g133glxcVCunOlE\nhZOfBx//GTbHQOUbIDpFRVhERKSU6WRYvFNKCnTtCo0bw4oVUKmS6USFczYLkvvA4bXQeBA0fwUC\ny5tOJSIi4ndUhsX7pKdDdDRUr+7ME65Rw3SiwvlxByR2h7NHoMU70Hig6UQiIiJ+S2VYvMvBg879\n4IAASEiAunVNJyqcvW/Dzt9D+ashIglqePmaaBERES+nMizeIysLIiPh+HHnvvD115tOVHB5Z50S\n/PV0uDrCWaRR/irTqURERPyeyrB4h5MnoWNH2L8f4uMhPNx0ooI7tR+SesDRFGj6F7h5IgR44dQL\nERERH6QyLJ7v7FmIiYHUVFi0CO6913SigsuMh+S+YOfCvUvgmq6mE4mIiMgvqAyLZ8vNhb59Yf16\nmDULunS55JsuTs0gNj6dzGwXoSHBjI4KIybc0J1iOx8+mwyfTICqTeGeOKjiRdc6RERE/ITKsHgu\n24YhQ5zT4ClToH//S77p4tQMxsWl4crJAyAj28W4uDSA0i/E57OdJRoZy6BBH2jxNpSpWLoZRERE\npEC0dEM815gxMGMGTJgAI0Zc9k1j49N/LsIXuHLyiI1PL8mE/ys7DVbfCZmr4I5XoNUcFWEREREP\nppNh8Uz//CfExsKwYTBx4hXfPDPbVajXS8T+92HbExBUFe7fALXalN7nFhERkSLRybB4nrffhrFj\noU8feOUVsKwrvktoSHChXnervPOwczgkPwzVm0PHXSrCIiIiXkJlWDzLggXw5JPOhrn33nOWaxTA\n6KgwgoN+Pa4sOCiQ0VFhJRDyF85kwrp2/H97dx5dVXXocfy7CQECWECBKJFBlIIUhygKgohMYZZB\nEFSoAwqKFlQGpT4t1fK0gFSsYhsVtUERhchjUEJAkEBkDhUZoohMAcMgcwKZ9vvjBBUJkJBz78m9\n9/dZy0Vyc+/Zv+VR/LnZZ2++/SfUfxLaLISIy3w7poiIiLhGyySk5FiwAO69F5o2hRkzoEyZQn/0\n1ENyft1NYu8SWHoXZB+FZlOhTl/fjSUiIiI+oTIsJcOKFc5ewvXrw5w5UL58kS/RPTrKPztHWAup\nr0LKCKhYF1ovhMp/8P24IiIi4jqVYfHexo3QqRNERjqny1Wp4nWis8s+5jwkt2MaXN4dmr4HZSp5\nnUpEREQukMqweGv7doiJcZZEJCbCZSV4ve2RbyGpJxzZBNe9BA1HgtGyexERkUCmMizeSU+Hdu3g\n+HH48kuoW9frRGe3c6ZzkEZYWWiVAJe29TqRiIiIuOCCp7WMMTWNMYuMMRuNMRuMMec+FUHk1w4f\nho4dYdcuZ43wtdd6nahgeTmwbhQk9YDfNYAOa1SERUREgkhxZoZzgGHW2rXGmIuANcaYRGvtRpey\nSbDKzIQ77oD162H2bGje3OtEBTuxD5bdDekL4aqBcONECCvndSoRERFx0QWXYWvtHmBP/tdHjTGb\ngChAZVjOLjsb+vSBpCT44ANnP+GSaP9KWNoLTuyFJu/AlQ96nUhERER8wJWnf4wxdYBoYEUBPxto\njFltjFm9b98+N4aTQJWXBwMGOLPBr7/unDBX0lgLW2JhQQvn4biYZSrCIiIiQazYZdgYUxGYATxh\nrT3y259ba2OttY2ttY2rVatW3OEkUFkLw4ZBXBy88AIMHux1ojPlZDrbpq0cBJGtnPXBF9/odSoR\nERHxoWLtJmGMCccpwh9Ya+PdiSRBacwYePVVGDoU/ud/vE5zpmPbIOlOOLgWGj0Hjf4CpcLO+zER\nEREJbBdcho0xBngH2GStneBeJAk6b74Jzz0H/frBhAlgjNeJTrc7AZLvAZsLt82Cy7t6nUhERET8\npDjLJJoD/YHWxph1+X91cimXBIuPPoLHHoOuXWHyZChVgg6psHnwzd9gcUcoHwUdVqsIi4iIhJji\n7CaxFChhU3xSosybB/37Q4sWMG0ahId7negXWYcguT/sngO174EmsVC6gtepRERExM90Ap34RnIy\n9OwJjRrBrFkQEeF1ol8c/No5Vvn4drjxNfj94yVv6YaIiIj4hcqwuG/9eujcGaKinNnhSpW8TvSL\nHz6AlQ9DmcrQdjFUK6EHfoiIiIhfqAyLu7ZuhZgYqFABEhMhMtLrRI7cLEgZDt/+E6rfBs2nQcSl\nXqcSERERj6kMi3v27IF27SAryzlhrk4drxM5MnbD0t6wPxkaPAXXvwylStD6ZREREfGMynAQmpmS\nxriEVHYfyqRG5QhGtK9P9+go3w568CC0bw/p6bBwITRs6NvxCmvvElh6F+Qcg+YfQe0+XicSERGR\nEkRlOMjMTEljVPx6MpBYnmcAABVFSURBVLNzAUg7lMmo+PUAvivEGRnO1mmbN8PcudCkiW/GKQpr\nIfVVSBkBFa+E1guh8h+8TiUiIiIlTAna9FXcMC4h9ecifEpmdi7jElJ9M2BWFvTq5ewe8eGHzjIJ\nr2Ufg2V9Ye1TENUV2q9UERYREZECaWY4yOw+lFmk14slLw/uvx8+/xxiY51S7LUjqc62aUc2O2uD\nrx6pbdNERETkrFSGg0yNyhGkFVB8a1R2eZ9fa2HIEJg6FV56CR5+2N3rX4idn8JX90FYWWg1Hy5t\n43UiERERKeG0TCLIjGhfn4jwsNNeiwgPY0T7+u4ONHo0vPEGDB8OTz/t7rWLKi8H1o2CpJ5sPF6D\n5uvG0vw9w8yUNG9ziYiISImnmeEgc+ohOZ/uJvHaa/DCC/DAAzB2rLfLEE7sg2V3Q/pCPjrYied3\nPUyWDQd/PDgoIiIiAc9Ya/02WOPGje3q1av9Np74wJQp0L8/dO8On3wCpT38/6n9K2HpnXBiH2P2\nDeGttJZnvCWqcgTLnmntQTgRERHxijFmjbW2cWHeq2USUnhz5jgPzLVq5awV9qoIWwtbYmFBCzCl\nISaZtwsowuCjBwdFREQkaKgMS+EkJUHv3nD99TBzJpQr502OnExYMQBWDoLIVtBhNVx8w1kfEHT9\nwUEREREJKirDcn7r1kGXLlC7trON2u9+502OY9sg8VbY+i40eh5azoWylwB+fHBQREREgooeoJNz\n++4755jlSpUgMRGqVfMmx+55kHwv2DxoORuiupz2Y788OCgiIiJBR2VYzi4tzTlRLi8P5s+HmjX9\nn8HmwTdjYP1foPI10CIeLrqywLd2j45S+RUREZEiURmWgv30E8TEwIEDsGgRNGjg/wxZhyC5P+ye\nA3X6wc3/htLl/Z9DREREgpbKsJzp2DHo1Am+/95ZI9y4UDuTuOvg186xyse3Q+PXod5gHassIiIi\nrlMZltOdPAk9e8KqVTBjhrONmr/9MAVWDoQyVaDtl1Ctmf8ziIiISEhQGZZf5OY6B2okJsLkyc7B\nGn4dPwtShsG3r0P1ltB8GkRE+jeDiIiIhBSVYXFYC4MHO6fKjR/vHLXsTxlpsLQ37P8KGgyD61+G\nUvrHU0RERHxLbUMczz4LsbEwahQMG+bfsdO/hGV3Qc5xuPVjqNXbv+OLiIhIyNKhGwKvvAIvvQQD\nB8KYMf4b11rYNAG+aOOsD26/UkVYRERE/Eozw6Hu3Xdh+HDnqOVJk/y3Y0P2MedY5R0fQ807oelk\nCPfoZDsREREJWSrDoWzmTHjoIedgjbg4CAs7/2fccCQVlvSAo6lw/Vi4eri2TRMRERFPqAyHqkWL\noG9fuOkmiI+HsmX9M+7OePjqfggrB60S4dLW/hlXREREpABaMxyK1qyBbt3gyith7lyoWNH3Y+bl\nQMrTkHQnVGoIHdaoCIuIiIjnNDMcajZvhg4d4JJLYP5851dfO7EXlt0N6V9AvUfhhn9AmJ9mokVE\nRETOQWU4lOzYATExUKqUU4Sjonw/5v4VsLQXnNwPTd+Duvf5fkwRERGRQlIZDhX79jlF+PBhWLwY\n6tXz7XjWwpZYWDMEIqKgXTJcHO3bMUVERESKSGU4FBw9Cp06wfbtzoxwtI9LaU4mrB4MW9+DyzpC\nsylQ9mLfjikiIiJyAVSGg92JE87DcikpzlZqLVr4drxjP0BSTzj4X7hmNDR6Doye0xQREZGSSWU4\nmOXkwD33ONuoxcVBly6+HW/355B8r7NEouUciOrk2/FEREREiklTdsHKWhg0CD79FCZOhH79fDhW\nHqx/ARZ3hvK1oOMaFWEREREJCJoZDkbWwsiRMHkyPP88DBniu7GyDkJyf9g9F+r0h5v/BaXL+248\nERERERepDAejsWNh/Hh47DEYPdp34xz8r7M+OGMn3DQJrnpExyqLiIhIQFEZDjZvvQXPPAN33w2v\nvea7cvpDHKwcBGUuhrZLoGpT34wjIiIi4kMqw8Fk+nR45BHo2BHee885XMNtuVmw9kn4bhJUvx1u\nnQblqrs/joiIiIgfqAwHi8REZ+eIpk2dUlymjPtjZKRBUi84sByuHgHX/S+U0j9CIiIiErjUZILB\nihXQowc0aABz5kB5HzzAlr4YlvWBnAy49ROo1cv9MURERET8TFurBboNG5zT5SIjISEBqlRx9/rW\nwqZX4Iu2zvrg9itVhEVERCRoaGY4kG3bBjExzpKIxES47DJ3r599FJY/CDunQ81e0HQyhF/k7hgi\nIiIiHlIZDlTp6U4RzsiAJUugbl13r394MyT1gKPfQvQ4aDCsxG2bNjMljXEJqew+lEmNyhGMaF+f\n7tFRXscSERGRAKIyHIgOH4YOHWDXLliwAK65xt3r75gBy++HsAhovQAiW7l7fRfMTEljVPx6MrNz\nAUg7lMmo+PUAKsQiIiJSaFozHGgyM6FrV/jmG4iPh2bN3Lt2Xg6kjISlvaBSI+i4tkQWYYBxCak/\nF+FTMrNzGZeQ6lEiERERCUSaGQ4k2dnQpw8sXQoffujMDrvlxF5Y1hfSF0G9wXDDBAgr6971Xbb7\nUGaRXhcREREpiMpwoMjLgwEDYPZsmDQJ+vZ179r7lzv7B2cdgKbvQ90/undtH6lROYK0AopvjcoR\nHqQRERGRQKVlEoHAWnjqKYiLgxdfhEcfde+6370JC25zZoFjvgqIIgwwon19IsLDTnstIjyMEe3r\ne5RIREREApFmhgPBmDEwcSIMHQrPPuvONXMyYdWj8MP7UKMTNJsCZVzeo9iHTj0kp90kREREpDhU\nhku6N9+E556D/v1hwgR3tjc7thWS7oSD/4VrRkOj58AE3h8SdI+OUvkVERGRYlEZLsmmToXHHnN2\nj3jnHSjlQmHd/Tkk3+sskWg5B6I6Ff+aIiIiIgEq8KYDQ8W8efDHP0KLFjBtGoSHF+96Ng/W/xUW\nd4YKtaHjGhVhERERCXmaGS6JkpOhZ0/nMI1ZsyCimDskZB2E5H6w+zO44j64aRKULu9OVhEREZEA\npjJc0nz9NXTuDJdf7swOV6pUvOsdXAdLekLmLrjpTbhqUIk7VllERETEKyrDJcnWrdC+PVSoAPPn\nQ/Xqxbzef2DVIChzCbRNgqpN3MkpIiIiEiRUhkuKPXugXTvIyoKkJKhTp8C3zUxJO/92YrlZsPZJ\n+G6Sc5xy84+gXDGLtYiIiEgQUhkuCQ4edGaE09Nh4UJo2LDAt81MSWNU/Hoys3MBSDuUyaj49cAv\n++6SsQuSesOB5XD1SLhuDJTSbRYREREpiHaT8FpGBnTpAps3w6efQpOzL2UYl5D6cxE+JTM7l3EJ\nqc436Yvg8xvg8Ddw63SI/ruKsIiIiMg5qAx7KSsLevWC5cvhww+dZRLnsPtQ5llez4CN4+CLtlC2\nKrRfBbXu9EViERERkaCiaUOv5OXB/ffD559DbKxTis+jRuUI0n5TiCuUyuD1uv+EdUlQqzc0eQfC\nL/JRaBEREZHgoplhL1gLf/qTc8Lcyy/Dww8X6mMj2tcnIjzs5++vLLuTWfWG0bJ8MkSPh+bTVIRF\nREREikAzw14YPRomTYLhw2HkyEJ/7NRDcuMSUrneJjKu5kRKhVeg1O0LIPJ2n0QVERERCWbFKsPG\nmA7ARCAMeNta+7IrqYLZa6/BCy/Agw/C2LFFPgCj+3WRdOdV2DQeqt4Ct34C5aPO/0EREREROcMF\nl2FjTBjwBtAO2AWsMsbMstZudCtc0ImLg6FDoUcP+Pe/i34SXGY6LOsLexdDvcfghgkQVsYnUUVE\nRERCQXFmhm8GtlhrtwIYYz4CugEqwwWZPRseeABat3Z2jihdxL/1+5dDUi/I+glu+Q9c0d83OUVE\nRERCSHEeoIsCdv7q+135r8lvLVkCd90F0dEwcyaUK1f4z1oL306CBbdBWFmI+UpFWERERMQlPn+A\nzhgzEBgIUKtWLV8PV/KsWwddu0Lt2s42ahcVYbeHnAxY+Qhsi4ManaFZHJSp4rusIiIiIiGmODPD\naUDNX31/ef5rp7HWxlprG1trG1erVq0YwwWg775zjlmuVAkSE6Fq1cJ/9uj3ML8ZbJsC1/wVWs5S\nERYRERFxWXFmhlcB9YwxV+CU4L7APa6kCgZpac6Jcnl5ThGuWfP8n/n5s3MhuZ/zgN3tc6FGR9/l\nFBEREQlhF1yGrbU5xpjHgQScrdUmW2s3uJYskB04ADExzq+LF0P9+oX7XF4ufPOC81eVaGgxAype\n4dOoIiIiIqGsWGuGrbWfAZ+5lCU4HDsGnTvD9987a4RvvLFwnzv5EyTfC3vmQd37ofEkKB3h06gi\nIiIioU4n0Lnp5Eno2RNWrYIZM6BVq8J97qcUSOoJmWlw07/gqoFF34NYRERERIpMZdgtubnQv7+z\nPnjyZOjevXCf2/o+rHoEylaFtklQtYlvc4qIiIjIz1SG3WAtDB4Mn3wC48c7h2ucT+5JWPMEbPkX\nRLaG5lOhXHXfZxURERGRn6kMu+HZZyE2FkaNgmHDzv/+4zthaS84sBIaPg3X/g1K6VaIiIiI+Jsa\nWHG98gq89BIMGgRjxpz//T9+Acv6ODPDLWZAzZ6+zygiIiIiBSrOoRvy7rswfDj07g1vvHHuh96s\nhY1jYVE7KFsN2q9UERYRERHxmGaGL9TMmfDQQ87BGnFxEBZ29vdmH4HlD8DOeKjVG5pMhvCK/ssq\nIiIiIgVSGb4QixZBnz5w880QHw9ly579vYc3OtumHd0C0a9Agye1bZqIiIhICaEyXFSrV8Mdd0C9\nejB3LlQ8xwzv9o9hxYNQugK0XgiRLf2XU0RERETOS2W4KDZvho4doWpVSEiAiy8u+H15ObDuadg8\nAareArd+AuWj/JtVRERERM5LZbiwduyAmBgoVQrmz4eos5TbzHRnt4i9X8LvH3eWRoSV8W9WERER\nESkUleHC2LfPKcKHD8OXXzpLJAp8XzIs7Q1ZB+GWOLiin39zioiIiEiRaGu18zl61FkasX07zJkD\n119/5nushdTXYUFLCIuAmOUqwiIiIiIBQDPD53LiBHTrBuvWOVuptWhx5ntyMmDlINg2BWp0gWZx\nUKay/7OKiIiISJGpDJ9NTg7cfbezjVpcHHTpcuZ7jm6BpDvh0Hq49kX4w5/BaLJdREREJFCoDBfE\nWhg40JkNnjgR+hWw5CFtDiT3c8rv7Z9BjQ7+zykiIiIixaJpzN+yFkaOdI5afv55GDLk9J/n5cLX\nz8OXXaFiXeiwRkVYREREJEBpZvi3/v53GD8eHn8cRo8+/WcnD0DyvbAnAeo+AI3fgNIRnsQUERER\nkeJTGf61t96CUaOctcITJ55+bPJPa531wZm74eZYuPIhHassIiIiEuBUhk+ZPh0eecTZRu39953D\nNU75/l1Y9SiUqw5tk6Dqzd7lFBERERHXqAwDJCbCPffALbc4pTg83Hk99ySsGQJbYiGyDTSfCuWq\neZtVRERERFyjMrxiBfToAVdf7RyqUb688/rxHZDUC35aBQ2fcbZOK6W/XSIiIiLBJLTb3YYN0KkT\nREbCvHlQOf+wjB8XwrK+zsxwi3io2cPbnCIiIiLiE6G7tdq2bRATA2XLOsskLrvM2VZtw8uwKMZZ\nH9xhtYqwiIiISBALzZnh9HRo1w4yMmDJEqhbF7KPwFf3w65PoVYfaPI2hFf0OqmIiIiI+FDoleHD\nh6FDB0hLgwUL4Jpr4NAGSOoJx76HG/4B9Ydq2zQRERGREBBaZTgzE7p2ddYKz5oFzZrB9mmwYgCU\nrghtvoDqt3mdUkRERET8JHTKcHY29OkDS5fChx9CTBtY8xSk/gOqNYfmH0P5Gl6nFBERERE/Co0y\nnJcHAwbA7NkwaRJ0ux0WtoF9SfD7IRA9DsLKeJ1SRERERPws+MuwtfDUUxAXBy++CL2uhXk3QNYh\nuGUKXHGv1wlFRERExCPBX4bHjYOJE+GJodD7d7DgdqhQG2LmQZVrvU4nIiIiIh4y1lr/DWbMPmC7\n3wb8RVVgvwfjiv/oHgc/3ePgpvsb/HSPg1tJu7+1rbXVCvNGv5ZhrxhjVltrG3udQ3xH9zj46R4H\nN93f4Kd7HNwC+f6G7gl0IiIiIhLyVIZFREREJGSFShmO9TqA+JzucfDTPQ5uur/BT/c4uAXs/Q2J\nNcMiIiIiIgUJlZlhEREREZEzqAyLiIiISMgK+jJsjOlgjEk1xmwxxjzjdR5xjzGmpjFmkTFmozFm\ngzFmqNeZxDeMMWHGmBRjzByvs4j7jDGVjTHTjTGbjTGbjDG3eJ1J3GOMeTL/9+hvjDFTjTHlvM4k\nxWOMmWyM2WuM+eZXr11sjEk0xnyX/2sVLzMWRVCXYWNMGPAG0BFoCNxtjGnobSpxUQ4wzFrbEGgK\nPKb7G7SGApu8DiE+MxGYZ61tAFyH7nXQMMZEAUOAxtbaRkAY0NfbVOKC94AOv3ntGWChtbYesDD/\n+4AQ1GUYuBnYYq3daq3NAj4CunmcSVxird1jrV2b//VRnP+ARnmbStxmjLkc6Ay87XUWcZ8xphJw\nG/AOgLU2y1p7yNtU4rLSQIQxpjRQHtjtcR4pJmvtEuCn37zcDXg//+v3ge5+DVUMwV6Go4Cdv/p+\nFypLQckYUweIBlZ4m0R84FVgJJDndRDxiSuAfcC7+Uth3jbGVPA6lLjDWpsGjAd2AHuAw9ba+d6m\nEh+JtNbuyf/6RyDSyzBFEexlWEKAMaYiMAN4wlp7xOs84h5jTBdgr7V2jddZxGdKAzcAb1pro4Hj\nBNAfr8q55a8b7YbzPz01gArGmH7ephJfs86+vQGzd2+wl+E0oOavvr88/zUJEsaYcJwi/IG1Nt7r\nPOK65sAdxphtOMucWhtjpngbSVy2C9hlrT31pzrTccqxBIe2wA/W2n3W2mwgHmjmcSbxjXRjzGUA\n+b/u9ThPoQV7GV4F1DPGXGGMKYOzaH+Wx5nEJcYYg7POcJO1doLXecR91tpR1trLrbV1cP79/cJa\nq1mlIGKt/RHYaYypn/9SG2Cjh5HEXTuApsaY8vm/Z7dBD0gGq1nAfflf3wf8n4dZiqS01wF8yVqb\nY4x5HEjAeYJ1srV2g8exxD3Ngf7AemPMuvzX/myt/czDTCJSdH8CPsiftNgKPOBxHnGJtXaFMWY6\nsBZnB6AUAvjYXnEYY6YCtwNVjTG7gL8ALwMfG2MGANuBu7xLWDQ6jllEREREQlawL5MQERERETkr\nlWERERERCVkqwyIiIiISslSGRURERCRkqQyLiIiISMhSGRYRERGRkKUyLCIiIiIh6/8B1Eti/BSG\ngz0AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(points[:, 0], points[:, 1])\n", + "plt.plot(line, theta[1] * line + theta[0], c='r')\n", + "plt.plot(line, theta1[1] * line + theta1[0], c='orange')\n", + "plt.ylim(-1, 11);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ако итерираме още веднъж ще си приближим повече:" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.083209 , 1.17149397])" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "theta2 = theta1 - 0.02 * (((X @ theta1 - y) * X.T).sum(1) / m)\n", + "theta2" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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PGmVmCot7OQ5sHwWLH4Kw/BC1xjVF+BDQAngKc3HGl6gIS2hxx5RvEZFg4jjQ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\nH7v2I1h0B5QsB81msbDKVXQH1gCPAk8CkYVStIiIiIjkRnuG8+OHH6B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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(points[:, 0], points[:, 1])\n", + "plt.plot(line, theta[1] * line + theta[0], c='r')\n", + "plt.plot(line, theta1[1] * line + theta1[0], c='orange')\n", + "plt.plot(line, theta2[1] * line + theta2[0], c='cyan')\n", + "plt.ylim(-1, 11);" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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7J6H8N1D0PZf8f74daI15otzHwKeATzzv3XRmEwFLAjgbfpYPq3zIkJeHkCpF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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "theta3 = theta2 - 0.02 * (((X @ theta2 - y) * X.T).sum(1) / m)\n", + "plt.scatter(points[:, 0], points[:, 1])\n", + "plt.plot(line, theta[1] * line + theta[0], c='r')\n", + "plt.plot(line, theta1[1] * line + theta1[0], c='orange')\n", + "plt.plot(line, theta2[1] * line + theta2[0], c='cyan')\n", + "plt.plot(line, theta3[1] * line + theta3[0], c='green')\n", + "plt.ylim(-1, 11);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Все още има голяма разлика между това, което правим ние и това, което прави линейната регресия в scikit-learn." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.083882 , 1.13692213])" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "theta3" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.15200408, 0.98817937])" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "best_theta" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека просто пуснем 10000 итерации и да видим какво ще стане:" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.15200408, 0.98817937])" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result = theta\n", + "for _ in range(10000):\n", + " gradient = ((X @ result - y) * X.T).sum(1) / m\n", + " result -= 0.01 * gradient\n", + " \n", + "result" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Това го намери и scikit-learn:" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.15200408, 0.98817937])" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "best_theta" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека пробваме да изчислим и $R^2$ score-а:\n", + "\n", + "$$\n", + "\\operatorname{R^2} =\n", + " 1 - \\frac{\\sum_{i=1}^n \\big( \\hat{y}_i - y_i \\big)^2}{\\sum_{i=1}^n \\big( \\bar{y} - y_i \\big)^2}\n", + "$$\n", + "\n", + "Където $\\bar y$ е средно-аритметичното на y." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да започнем с числителя:\n", + "\n", + "$$\n", + "\\sum_{i=1}^n \\big( \\bbox[yellow]{\\hat{y}_i} - y_i \\big)^2\n", + "$$\n", + "\n", + "$\\hat y$ е просто предвижданията на нашата функция, което е $X\\theta^T$. Резултата трябва да е масив от $m$ елемента със предположението за всеки ред от $X$:" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.71959598, 0.85167466, 1.81092586, 1.87770801, 1.87737416,\n", + " 2.51963837, 3.34458322, 3.70796498, 4.74696019, 4.68352906,\n", + " 3.78753402, 5.99614336, 7.21059109, 6.63183197, 7.88664795,\n", + " 7.72596988, 7.73086058, 8.51770096, 9.8175691 , 9.53841539])" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X @ theta" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да започнем с числителя:\n", + "\n", + "$$\n", + "\\sum_{i=1}^n \\big( \\bbox[yellow]{\\hat{y}_i - y_i} \\big)^2\n", + "$$\n", + "\n", + "Нека извадим $y$ за да получим грешката:" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.51951738, -0.79508773, 1.24693322, 0.37443925, -0.43318825,\n", + " -0.83907733, 0.12585098, -0.14308271, 0.63901301, 0.37373483,\n", + " -1.80243318, 0.57775218, 1.62198446, -0.11668137, -0.21645249,\n", + " -0.35784822, 0.30020619, -0.50784194, -0.25730503, -0.31043324])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X @ theta - y" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Трябва да повдигнем резултата на квадрат:\n", + "\n", + "$$\n", + "\\sum_{i=1}^n \\bbox[yellow]{\\big( \\hat{y}_i - y_i \\big)^2}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.2698983 , 0.6321645 , 1.55484245, 0.14020475, 0.18765206,\n", + " 0.70405076, 0.01583847, 0.02047266, 0.40833763, 0.13967772,\n", + " 3.24876535, 0.33379758, 2.63083358, 0.01361454, 0.04685168,\n", + " 0.12805535, 0.09012375, 0.25790344, 0.06620588, 0.0963688 ])" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(X @ theta - y) ** 2" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Финално, трябва да го сумираме, за да получим скалар:\n", + "\n", + "$$\n", + "\\operatorname{R^2} =\n", + " 1 - \\frac{\\bbox[yellow]{\\sum_{i=1}^n \\big( \\hat{y}_i - y_i \\big)^2}}{\\sum_{i=1}^n \\big( \\bar{y} - y_i \\big)^2}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "10.985659253836245" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "((X @ theta - y) ** 2).sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Знаменателя е тривиален и ще го направим наведнъж:\n", + "\n", + "$$\n", + "\\operatorname{R^2} =\n", + " 1 - \\frac{\\sum_{i=1}^n \\big( \\hat{y}_i - y_i \\big)^2}{\\bbox[yellow]{\\sum_{i=1}^n \\big( \\bar{y} - y_i \\big)^2}}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "176.27723221419529" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "((y.mean() - y) ** 2).sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Фималното изчисление е ясно:\n", + "\n", + "$$\n", + "\\operatorname{R^2} =\n", + " 1 - \\frac{\\sum_{i=1}^n \\big( \\hat{y}_i - y_i \\big)^2}{\\sum_{i=1}^n \\big( \\bar{y} - y_i \\big)^2}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.93767964747434018" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 - ((X @ theta - y) ** 2).sum() / ((y.mean() - y) ** 2).sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Какво ли намери нашия scikit-learn по-рано?" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.93767964747434018" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.score(points[:, :-1], points[:, 1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Същото! Колко яко!" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Estimator\n", + "\n", + "Май събрахме достатъчно код да си направим собствен estimator.\n", + "\n", + "Ще го даваме на YOLO и направо ще се опитаме да си имплементираме един:" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "from sklearn.base import BaseEstimator\n", + "\n", + "class PoorMansLinearRegression(BaseEstimator):\n", + " def __init__(self, alpha=0.01, iterations=2000):\n", + " self.alpha = alpha\n", + " self.iterations = iterations\n", + " \n", + " def fit(self, X, y):\n", + " (m, n) = X.shape\n", + " X = np.hstack([np.ones((m, 1)), X])\n", + " \n", + " theta = np.random.rand(n + 1)\n", + " for _ in range(self.iterations):\n", + " gradient = ((X @ theta - y) * X.T).sum(1) / m\n", + " theta -= self.alpha * gradient\n", + " \n", + " self.theta_ = theta\n", + " \n", + " return self\n", + " \n", + " def predict(self, X):\n", + " (m, n) = X.shape\n", + " X = np.hstack([np.ones((m, 1)), X])\n", + " \n", + " return X @ self.theta_\n", + " \n", + " def score(self, X, y):\n", + " X = np.hstack([np.ones((X.shape[0], 1)), X])\n", + " return 1 - ((X @ self.theta_ - y) ** 2).sum() / ((y.mean() - y) ** 2).sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Отвъд малки дребни детайли, тук няма нищо интересно. Нека си вземем dataset-а с който почнахме, но да го направим малко по-подходящ за scikit-learn (без bias колоната):" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "X = points[:, :-1]\n", + "y = points[:, 1]" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.88202617],\n", + " [ 1.01568478],\n", + " [ 1.98641057],\n", + " [ 2.05399158],\n", + " [ 2.05365373],\n", + " [ 2.70360073],\n", + " [ 3.5384136 ],\n", + " [ 3.90614214],\n", + " [ 4.95756585],\n", + " [ 4.89337596],\n", + " [ 3.98666299],\n", + " [ 6.22169178],\n", + " [ 7.45066679],\n", + " [ 6.86498452],\n", + " [ 8.13481066],\n", + " [ 7.97221055],\n", + " [ 7.97715976],\n", + " [ 8.77341235],\n", + " [ 10.08882955],\n", + " [ 9.80633659]])" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.2000786 , 1.64676239, 0.56399264, 1.50326876,\n", + " 2.31056241, 3.3587157 , 3.21873225, 3.85104769,\n", + " 4.10794718, 4.30979424, 5.58996719, 5.41839117,\n", + " 5.58860664, 6.74851334, 8.10310044, 8.0838181 ,\n", + " 7.4306544 , 9.02554291, 10.07487413, 9.84884862])" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да тренираме нашия регресор!" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0.71959598 0.85167466 1.81092586 1.87770801 1.87737416 2.51963837\n", + " 3.34458322 3.70796498 4.74696019 4.68352906 3.78753402 5.99614336\n", + " 7.21059109 6.63183197 7.88664795 7.72596988 7.73086058 8.51770096\n", + " 9.8175691 9.53841539]\n" + ] + }, + { + "data": { + "text/plain": [ + "0.93767964747434018" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "poor = PoorMansLinearRegression(alpha=0.02, iterations=10000)\n", + "poor.fit(X, y)\n", + "print(poor.predict(X))\n", + "poor.score(X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Какво ли дава тоя на scikit-learn?" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0.71959598 0.85167466 1.81092586 1.87770801 1.87737416 2.51963837\n", + " 3.34458322 3.70796498 4.74696019 4.68352906 3.78753402 5.99614336\n", + " 7.21059109 6.63183197 7.88664795 7.72596988 7.73086058 8.51770096\n", + " 9.8175691 9.53841539]\n" + ] + }, + { + "data": { + "text/plain": [ + "0.93767964747434018" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model = LinearRegression().fit(X, y)\n", + "print(model.predict(X))\n", + "model.score(X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Бижу!" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Я да го пробваме с \"по-истински dataset\":" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import load_boston\n", + "from sklearn.preprocessing import minmax_scale\n", + "from sklearn.model_selection import train_test_split\n", + "\n", + "boston = load_boston()\n", + "X = minmax_scale(boston.data)\n", + "y = boston.target\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.76596521056611888" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "proper = LinearRegression().fit(X_train, y_train)\n", + "proper.fit(X_train, y_train)\n", + "proper.score(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека сега си натренираме с нашия estimator:" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Our score: 0.7659652105661173\n", + "sklearn's score: 0.7659652105661189\n" + ] + } + ], + "source": [ + "poor = PoorMansLinearRegression(alpha=0.5, iterations=50000)\n", + "poor.fit(X_train, y_train)\n", + "print(\"Our score: {}\".format(poor.score(X_test, y_test)))\n", + "print(\"sklearn's score: {}\".format(proper.score(X_test, y_test)))" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bigest error wrt sklearn: 0.00000000000054\n" + ] + } + ], + "source": [ + "print(\"Bigest error wrt sklearn: {0:.14f}\".format(np.abs(proper.predict(X_test) - poor.predict(X_test)).max()))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Normal equation method\n", + "\n", + "Всъщност, има и друг подход с който може да решим проблема на линейната регресия – може просто да решим уравнението:\n", + "\n", + "$$\\frac{\\partial}{\\partial \\theta_j}J(\\theta) = 0 \\space \\space \\space \\space \\text{(for every j)}$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Ако приложим малко анализ, може да намерим символично решение. Ще ви спестим математиката, понеже включва добро количество векторен анализ, и ще ви покажем направо резултата:\n", + "\n", + "$$\\theta = (X^T X)^{-1}X^Ty$$\n", + "\n", + "Обърнете внимане, че тази операция включва обръщане на матрица, което създава няколко проблема." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Първо, нека си възстановим dataset-а от по-рано с точките, за да го пробваме." + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "np.random.seed(0)\n", + "m = 20\n", + "line = np.linspace(0, 10, m)\n", + "points = np.random.randn(m, 2) * 0.5 + line.reshape(-1, 1)\n", + "plt.scatter(points[:, 0], points[:, 1])\n", + "plt.ylim(0, 10);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека си направим X и y:" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [], + "source": [ + "X = np.hstack([np.ones((m, 1)), points[:, :-1]])\n", + "y = points[:, 1]" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1. , 0.88202617],\n", + " [ 1. , 1.01568478],\n", + " [ 1. , 1.98641057],\n", + " [ 1. , 2.05399158],\n", + " [ 1. , 2.05365373],\n", + " [ 1. , 2.70360073],\n", + " [ 1. , 3.5384136 ],\n", + " [ 1. , 3.90614214],\n", + " [ 1. , 4.95756585],\n", + " [ 1. , 4.89337596],\n", + " [ 1. , 3.98666299],\n", + " [ 1. , 6.22169178],\n", + " [ 1. , 7.45066679],\n", + " [ 1. , 6.86498452],\n", + " [ 1. , 8.13481066],\n", + " [ 1. , 7.97221055],\n", + " [ 1. , 7.97715976],\n", + " [ 1. , 8.77341235],\n", + " [ 1. , 10.08882955],\n", + " [ 1. , 9.80633659]])" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.2000786 , 1.64676239, 0.56399264, 1.50326876,\n", + " 2.31056241, 3.3587157 , 3.21873225, 3.85104769,\n", + " 4.10794718, 4.30979424, 5.58996719, 5.41839117,\n", + " 5.58860664, 6.74851334, 8.10310044, 8.0838181 ,\n", + " 7.4306544 , 9.02554291, 10.07487413, 9.84884862])" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Сега нека просто сметнем уравнението:\n", + "\n", + "$$\\theta = (X^T X)^{-1}X^Ty$$" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.15200408, 0.98817937])" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "theta = np.linalg.pinv(X.T @ X) @ X.T @ y\n", + "theta" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "`LinearRegression` намира същите коефициенти:" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.15200408, 0.98817937])" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "model = LinearRegression().fit(points[:, :-1], points[:, 1])\n", + "np.array([model.intercept_, *model.coef_])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Въпреки това, този метод има няколко проблема:\n", + "\n", + "* Намирането на обратна матрица е бавна операция – $O(n^3)$. При твърде голяма матрица $X$ няма шанс да я изчакате.\n", + "* Ако имате линейни зависимости между feature-ите, матрицата ще е необратима." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Регуляризация\n", + "\n", + "Как изглежда регуляризацията при линейната регресия? Стандартната (l2) регуляризация просто ползва малко по-различна cost функция с допълнителен член:\n", + "\n", + "$$\n", + "J(\\theta) = \\frac{1}{2m} \\Bigg[ \\sum_{i=1}^m \\Big(h_\\theta(x^{(i)}) - y^{(i)}\\Big) ^ 2 + \\lambda \\sum_{j=1}^n\\theta_j^2 \\Bigg]\n", + "$$\n", + "\n", + "По този начин се опитваме да държим коефициентите на линейната регресия малки. $\\lambda$ е регуляризационния параметър (`C` или `alpha` в scikit-learn)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Частната производна и градиента изглеждат малко по-различно:\n", + "\n", + "$$\n", + "\\theta_j := \\theta_j - \\alpha \\Bigg[\n", + " \\Bigg (\\frac{1}{m}\\sum_{i=1}^m\\Big(\\big(h_\\theta(x^{(i)}) - y^{(i)}\\big)x_j^{(i)}\\Big) \\Bigg) +\n", + " \\frac{\\lambda}{m}\\theta_j \\Bigg]\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека натренираме един `Ridge`, за да има с какво да сравняваме:" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Ridge(alpha=10.0, copy_X=True, fit_intercept=True, max_iter=None,\n", + " normalize=False, random_state=None, solver='auto', tol=0.001)" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.linear_model import Ridge\n", + "from sklearn.model_selection import GridSearchCV\n", + "\n", + "X = minmax_scale(boston.data, (-1, 1))\n", + "y = boston.target\n", + "\n", + "grid = {'alpha': [0.001, 0.01, 0.1, 1.0, 10.0, 100.0, 1000.0, 10000.0]}\n", + "search = GridSearchCV(Ridge(), grid)\n", + "search.fit(X, y)\n", + "search.best_estimator_" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.72884850238173338" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ridge = Ridge(alpha=10).fit(X, y)\n", + "ridge.score(X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Сега ще си направим наша регуляризация:" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.base import RegressorMixin\n", + "\n", + "class Regularized(BaseEstimator, RegressorMixin):\n", + " def __init__(self, alpha=0.01, l=0, iterations=20000):\n", + " self.alpha = alpha\n", + " self.iterations = iterations\n", + " self.l = l\n", + " \n", + " def fit(self, X, y):\n", + " (m, n) = X.shape\n", + " X = np.hstack([np.ones((m, 1)), X])\n", + " \n", + " theta = np.random.rand(n + 1)\n", + " for _ in range(self.iterations):\n", + " regularization = self.l / m * theta\n", + " regularization[0] = 0\n", + " gradient = ((X @ theta - y) * X.T).sum(1) / m + regularization\n", + " theta -= self.alpha * gradient\n", + " \n", + " self.theta_ = theta\n", + " \n", + " return self\n", + " \n", + " def predict(self, X):\n", + " (m, n) = X.shape\n", + " X = np.hstack([np.ones((m, 1)), X])\n", + " \n", + " return X @ self.theta_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да ползваме този регресор с `GridSearchCV`:" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Regularized(alpha=0.1, iterations=20000, l=10.0)" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grid = {'l': [0.1, 1.0, 10.0, 100.0]}\n", + "search = GridSearchCV(Regularized(alpha=0.1, iterations=20000), grid)\n", + "search.fit(X, y)\n", + "search.best_estimator_" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Сравнявайки резултатите с `Ridge`, получаваме нещо сходно:" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.72884850238173393" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "poor = Regularized(alpha=0.1, iterations=20000, l=10.0).fit(X, y)\n", + "poor.score(X, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.72884850238173338" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ridge.score(X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Логистична регресия\n", + "\n", + "Логистичната регресия строи ползва хипотеза като линейната, но прекаране през сигмоид:\n", + "\n", + "$$ h_\\theta(x) = g(\\theta^Tx) = g(\\theta_0 + \\theta_1 x_1 + \\theta_2 x_2 + \\ldots + \\theta_n x_n) $$\n", + "\n", + "Където:\n", + "\n", + "$$ g(z) = \\frac{1}{1 + e^{-z}} $$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще си дефинираме функцията за сигмоида:" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [], + "source": [ + "def sigmoid(z):\n", + " return 1 / (1 + np.exp(-z))" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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NMbuMMQ/2sX6sMeYVY8wGY8xmY8wN0S8VABAvfl6+W1lpKfri1ZNdlwIAYes3GBtjvJIe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\nJ3fOVgrzigEAA4A5xgBi3je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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "_x = np.linspace(-10, 10)\n", + "plt.plot(_x, [sigmoid(i) for i in _x])\n", + "plt.grid()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "За cost функция използваме:\n", + "\n", + "$$\n", + "\\begin{align*}\n", + "& J(\\theta) = \\frac{1}{m} \\sum_{i=1}^{m}\\mathrm{Cost} \\big( h_\\theta(x^{(i)}), y^{(i)}) \\big) \\\\\n", + "& \\mathrm{Cost}(h_\\theta(x), y) = -log(1 - h_\\theta(x)) & \\text{if y = 0} \\\\\n", + "& \\mathrm{Cost}(h_\\theta(x), y) = -log(h_\\theta(x)) & \\text{if y = 1}\n", + "\\end{align*}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Може да я запишем и така:\n", + "\n", + "$$\n", + "J(\\theta) = - \\frac{1}{m} \\sum_{i=1}^{m} \\Big[\n", + " y^{(i)}\\log(h_\\theta(x^{(i)})) +\n", + " (1 - y^{(i)})\\log(1 - h_\\theta(x^{(i)}))\n", + "\\Big]\n", + "$$\n", + "\n", + "Или векторно:\n", + "\n", + "$$\n", + "\\begin{align*}\n", + "& h = g(X\\theta) \\\\\n", + "& J(\\theta) = \\frac{1}{m} \\cdot \\Big( -y^T \\log(h) - (1 - y)^T\\log(1 - h) \\Big)\n", + "\\end{align*}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Градиента е:\n", + "\n", + "$$\n", + "\\theta_j := \\theta_j - \\frac{\\alpha}{m}\\sum_{i=1}^{m}\\Big(h_\\theta(x^{(i)}) - y^{(i)}\\Big)x^{(i)}_j\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Нека се опитаме да имплементираме и това. Първо ще започнем с някакъв dataset:" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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VHe/oF3Oc6Zu1a9fm7ju35YpNW/LdOZa5WSzzz5bazwOwWE1PnZvrw9qmztEL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\nAc3DwAfVZCSIAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import make_classification\n", + "\n", + "X, y = make_classification(n_samples=20, n_features=2, n_redundant=0, random_state=42)\n", + "mglearn.discrete_scatter(X[:, 0], X[:, 1], y);" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "X = np.hstack([np.ones((X.shape[0], 1)), X])\n", + "(m, n) = X.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1. , -0.28280607, -1.40876083],\n", + " [ 1. , 0.94702918, 0.55906844],\n", + " [ 1. , 1.15772163, 0.474995 ],\n", + " [ 1. , 1.99591479, 0.77282149],\n", + " [ 1. , 0.04049985, 1.39732687],\n", + " [ 1. , 1.47044441, -0.86055081],\n", + " [ 1. , -0.70743459, 0.89217168],\n", + " [ 1. , -1.45694256, -0.04564786],\n", + " [ 1. , 0.62203454, 2.36749526],\n", + " [ 1. , -0.01544395, 1.09258513],\n", + " [ 1. , 1.61125245, -0.65678116],\n", + " [ 1. , 1.45454184, 0.91354664],\n", + " [ 1. , -0.20714752, 1.33055499],\n", + " [ 1. , 1.9632335 , -0.7697201 ],\n", + " [ 1. , -0.96400678, -0.82990054],\n", + " [ 1. , 2.07569216, 0.66009587],\n", + " [ 1. , -0.65503537, -0.83585632],\n", + " [ 1. , -1.42571554, -1.31373391],\n", + " [ 1. , -0.87496777, -0.11350669],\n", + " [ 1. , 1.25579369, -0.37205015]])" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще започнем с някаква хипотеза:" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [], + "source": [ + "theta = np.random.rand(n)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Градиента ще се опитаме да го напишем наведнъж:\n", + "\n", + "$$\n", + "\\theta_j := \\theta_j - \\frac{\\alpha}{m}\\sum_{i=1}^{m}\\Big(h_\\theta(x^{(i)}) - y^{(i)}\\Big)x^{(i)}_j\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5.02868536, 5.99244749, -2.07551026])" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "((sigmoid(X @ theta) - y).reshape(-1, 1) * X).sum(0)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Да пуснем няколко итерации:" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.31101828, -0.51404391, 1.5884362 ])" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "theta = np.random.rand(n)\n", + "for _ in range(50000):\n", + " theta -= 0.3 * ((sigmoid(X @ theta) - y).reshape(-1, 1) * X).sum(0) / m\n", + "theta" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Да видим какво ще направи логистичната регресия." + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.31101691, -0.51404307, 1.58843253])" + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.linear_model import LogisticRegression\n", + "\n", + "log = LogisticRegression(C=1000000000000).fit(X[:, 1:], y)\n", + "np.array([log.intercept_[0], *log.coef_[0]])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "Тук резултатите се различават малко повече, защото има регуляризация. Голямо `C` значи малка регуляризация (но все пак, не и 0)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще си напишем логистична регресия с регуляризация. Ето го градиента:\n", + "\n", + "$$\n", + "\\theta_j := \\theta_j - \\frac{\\alpha}{m} \\Bigg[ \\sum_{i=1}^{m}\\Big(h_\\theta(x^{(i)}) - y^{(i)}\\Big)x^{(i)}_j + \\lambda\\theta_j \\Bigg]\n", + "$$\n", + "\n", + "Абсолютно същото като линейната." + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "from sklearn.base import ClassifierMixin\n", + "\n", + "class ItsSomethingLogistic(BaseEstimator, ClassifierMixin):\n", + " def __init__(self, alpha=0.01, l=1.0, iterations=20000):\n", + " self.alpha = alpha\n", + " self.iterations = iterations\n", + " self.l = l\n", + " \n", + " def fit(self, X, y):\n", + " (m, n) = X.shape\n", + " X = np.hstack([np.ones((m, 1)), X])\n", + " \n", + " theta = np.random.rand(n + 1)\n", + " for _ in range(self.iterations):\n", + " regularization = self.l / m * theta\n", + " regularization[0] = 0\n", + " gradient = ((sigmoid(X @ theta) - y).reshape(-1, 1) * X).sum(0) / m + regularization\n", + " theta -= self.alpha * gradient\n", + " \n", + " self.theta_ = theta\n", + " \n", + " return self\n", + " \n", + " def predict(self, X):\n", + " (m, n) = X.shape\n", + " X = np.hstack([np.ones((m, 1)), X])\n", + " \n", + " return np.round(sigmoid(X @ self.theta_))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Може да тестваме нашия класификатор на cancer dataset-а:" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.datasets import load_breast_cancer\n", + "\n", + "cancer = load_breast_cancer()\n", + "X = minmax_scale(cancer.data, (-1, 1))\n", + "y = cancer.target" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Ще ни трябват повече итерации, смела $\\alpha$ и никаква регуляризация:" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "np.random.seed(0)" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.99648506151142358" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ours = ItsSomethingLogistic(l=0.0, alpha=20.0, iterations=500000)\n", + "ours.fit(X, y)\n", + "ours.score(X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Да видим какъв резултат вади `scikit-learn`:" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.99648506151142358" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "LogisticRegression(C=10000).fit(X, y).score(X, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Чудесно! Вадим същото, макар и много по-бавно." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Въпроси" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "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": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lectures/index.yml b/lectures/index.yml index 2b0f35b..7f9f6dd 100644 --- a/lectures/index.yml +++ b/lectures/index.yml @@ -34,3 +34,19 @@ title: 09. SVM, Transformers, Pipelines date: 2017-11-07 slug: 09-svm-transformers-pipelines +10: + title: 10. Unsupervised Learning + date: 2017-11-14 + slug: 10-unsupervised-learning +11: + title: 11. Unsupervised Learning, pt. 2 + date: 2017-11-16 + slug: 11-unsupervised-learning-2 +12: + title: 12. NumPy, SciPy, Pandas, Matplotlib, Seaborn + date: 2017-11-21 + slug: 12-libraries +13: + title: 13. Математиката зад линейната и логистичната регресия + date: 2017-11-23 + slug: 13-linear-logistic-regression-math