{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Statistical Thinking in Python (Part 2)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NdAE7Z+bqzHw4MEXEHOBY4HvjrkiSJLWddgg984DW030at2ePse/sMbTPA8jM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\nl1Hap6OerSmHst4OvIXy4fI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I/sBW51ymqGwz0GFmc0vqfh/4GT58pIHLgLc753bVpKUt6Po1N/HItjU+WIxg1rSZGrUQ\nEZE96iFczAB2l5QVtttLyucCC/DzMl4GXAesMLN5VW1hC3sm9VzF8lnTZjK7rYsj5y7jE8depFEL\nERHZox5OiwxSHiIK2/0l5V8EHnLOXQNgZv8IrAHOAb40nheLx2PE46MtVD0xiUR82PdmkUr38p1H\nvk8q3Tt8Rx6O2ncZZx35jsgDRbP2fb1Tv0dD/R4d9f3E1UO42ADMM7O4cy4XlC0ABpxzO0vqvgT4\nSmHDOZc3s1XAQeN9sTlzOomVzkYMQVfX9NCfMyo9gyk++/sr6NmdKtvX1TGLS056fwStGlkz9X0j\nUb9HQ/0eHfX9+NVDuHgQGAJeDtwVlB0P3Feh7kb8lSHFDPjjeF9s+/a+0Ecuurqm09MzQDabG/uA\nOpdK9/KZP1xOaqi34v6DZi1kx46+Greqsmbr+0ahfo+G+j066vu9urs7x1Uv8nDhnBsws+uAa8zs\nXGAhcDFwFoCZzQd2OecGgW8C15rZn/BXi5wPHAh8Z7yvl8vlyeXyIf8UkM3myGQa/4/uW6u+WzlY\n5OMcOc8447BT6+7nbJa+bzTq92io36Ojvh+/yMNF4CL8Cp2/xV9aeolz7pZg3ybgbOA659yNZtaJ\nv0z1APyox4nOua21b3JzWrfzybKyfLqN/3PkhSxbuCCCFomISKOpi3DhnBvAT8o8p8K+eMn2tcC1\nNWpaS0mle8nks8PK8nk4Ov82BQsRERk3TX2VPVasXllWFsvHeMerj4igNSIi0qgULmSPdTvXl5Xt\nm1xIV2eFJTlFRERGoHAhRfJlmx889qxomiIiIg1L4UIAP98ilx8eLjri09lneldELRIRkUalcCGA\nn2+RY/glVtOSiYhaIyIijUzhQoDKl6Ae1LUogpaIiEijU7gQgLJLUAHevezUCFoiIiKNTuFC/M3J\nKixaGvWNyUREpDEpXLS4VLqXz91zBZTcbiWB5luIiMjkKFy0uBWrV9KXKb8R2dLuJRG0RkREmoHC\nRYtbW2Ei56xpMzn7iNMjaI2IiDQDhYsWly25Q2wM+MSxF2m+hYiITJrCRQtb/ewm8vnha1vMSHYq\nWIiIyJQoXLSoVLqXr7uriZX8BcRjscoHiIiIjJPCRYv6+oPXk40PlpVr4SwREZkqhYsW9VTqqbKy\nWdNmauEsERGZMoWLFrSrL112HxHQRE4REQmHwkULuu2BdRXLFSxERCQMChctZudAD//bfwOl8za1\nIqeIiIRF4aLFXP3nGyCZLivXipwiIhIWhYsWs7F/Y1mZVuQUEZEwJaNugNRGKt3LNx9cSTY+OOwe\nZYlYQhM5RUQkVBq5aBErVq/kid61ZXMtZiSnK1iIiEioFC5aQCrdi9tR+QoRLZolIiJhU7hoAStW\nryRPvqz8yLnLtGiWiIiETnMuWsC6CrdVP6x7Ke9bfk4ErRERkWancNHEUulerl9zE5l8tmyfrg4R\nEZFqUbhoUql0L1+490pSQ71l+xIkNIlTRESqRnMumtSK1SsrBgvQglkiIlJdGrloUut2ri8rS8aS\nHDZnqSZxiohIVSlcNK182ebnj/u4ToeIiEjV6bRIE0qle8nlh4eLjrgWyxIRkdpQuGhCK1avJEdu\nWNm0pO56KiIitaFw0WRGWo1TK3GKiEitKFw0mZFW49QkThERqRWFiyYz0mqcmm8hIiK1onDRRFLp\nXq3GKSIikVO4aCIrVq8sK0sQ16iFiIjUlMJFE6m0cNbS7hdG0BIREWllChdNIpXuJatTIiIiUgcU\nLppEpatEls4+RKdERESk5hQumkTZVSJ5OO+od0XTGBERaWkKF02g4lUiMTRqISIikVC4aAKVrxLR\nct8iIhINhYsmUGnhrKXdSyJoiYiISJ3cct3M2oGvAacA/cAVzrkrR6h7VFD3JcBa4APOud/VqKl1\nRwtniYhIvamXkYvLgWOAE4ALgEvN7JTSSmbWBfwKeAQ4ErgZuNnM5tWuqfVlpFMimm8hIiJRiXzk\nwsxmAOcBJzvnVgGrzOwy4ELgRyXVzwZSzrn3BdufNrM3An8F/KJGTa4rlRfO0ikRERGJTuThAliO\nb8fdRWV3Ah+vUPc1wC3FBc65Y6vXtEZQfgdUnRIREZEo1cNpkf2Brc65TFHZZqDDzOaW1F0CbDWz\nr5vZJjO7y8xeWbOW1plUupdcfni46EzO0CkRERGJVD2MXMwAdpeUFbbbS8pnAh8FvgK8ATgd+JWZ\nmXNuw3heLB6PEY/HptDc4RKJ+LDvtfSdVd8jR254e+Jxksl6yIzVF2XftzL1ezTU79FR309cPYSL\nQcpDRGG7v6Q8AzzgnPtMsL3KzP4aeA/wb+N5sTlzOonFwgsXBV1d00N/zrGs3VF+Ceoh8xbT3d1Z\n87ZEKYq+F/V7VNTv0VHfj189hIsNwDwzizvnCh/DFwADzrmdJXU3AY+VlD0OLBrvi23f3hf6yEVX\n13R6egbIZnNjHxCSVLqXTC5TVv6uQ9/Gjh19NWtHlKLq+1anfo+G+j066vu9xvvhtR7CxYPAEPBy\n4K6g7Hjgvgp17wFeXVJ2GPDd8b5YLpcnlyufBDlV2WyOTKZ2f3TfWlX+IydIMD0+o6btqAe17nvx\n1O/RUL9HR30/fpGHC+fcgJldB1xjZucCC4GLgbMAzGw+sMs5NwhcA1xoZp/CB4qzgMXA9ZE0PkJa\nlVNEROpVvcxOuQi4H/gtcBVwiXOucMnpJuA0AOfcM8DJwFuAh4E3A29yzm2qeYsjpFU5RUSknkU+\ncgF+9AI4J/gq3Rcv2b4bv2hWy7p+zU1lZVqVU0RE6kW9jFzIOKXSvTy2fW1ZuU6JiIhIvVC4aDAr\nVq8kkx9+lUhnslOnREREpG4oXDSYsomcebjk5RfrlIiIiNQNhYsGky2dyBlDwUJEROqKwkUDSaV7\nK9ymTEREpL4oXDSQFatXlpUlSETQEhERkZEpXDQQLZwlIiKNQOGigZTNt0ALZ4mISP1RuGggleZb\naDKniIjUG4WLBpFK95aVab6FiIjUo3GHCzO7zMzGd69VCV2lyZyabyEiIvVoIiMXFwPDwoWZ3Wpm\n+4fbJKmk0mROzbcQEZF6NJFwEatQ9mpgekhtkVFUmsyp+RYiIlKPNOeiAWjxLBERaSQKFw1Ai2eJ\niEgjmWi4qPQBWh+qq0yLZ4mISCNJTrD+V81soGi7HbjMzFLFlZxz5065ZbKHFs8SEZFGMpFwcTuw\noKTsD8C84EuqRItniYhIIxl3uHDOnVDFdsgo4sTJkduzndBUGRERqWMTPS2yh5nNAGYDu5xz/eE1\nSYr5K0WGj110JHX1r4iI1K8JhQszmwV8GDgdWFJUvha4HrhSQSNcK1avLAsX8VilJUdERETqw7jD\nhZnNxc+7WATcDHwd2IkfvXgJ8DHgNDM73jm3qwptbTmpdC9ux7qy8oO6FkXQGhERkfGZyMjF5/CX\nrh7hnHu2dKeZLQR+jl8m/FPhNK+1VRq1iBHj3ctOjahFIiIiY5vIzMA3Ax+uFCwAnHPPAZ8E3hlG\nw6Ty+hbWfYiuFBERkbo2kXAxH3h4jDqrgAMn3xwpSKV7yWh9CxERaUATCRdtwMAYdQaAaZNvjhSM\ntOS3Ri1ERKTeacGEOrVu5/qyMi35LSIijWCi61xcbGZ9o+zXx+oQpNK9WvJbREQa1kTCxTPAaeOs\nJ1NQ6SqRw7qX6pSIiIg0hIks/30wgJl1AgPOuT3rUZvZ4cB659xYczJkHMquEslr1EJERBrHhOZc\nmNk7gfXA0SW7vgw8Z2Z/H1bDWlnZKZGYblQmIiKNY9zhwsxOwC/x/RNgQ8nuDwA/Bm40s1eG1roW\n5O8lIiIi0rgmMufiY8BVzrkPle5wzj0GnGNmefxCWm8KqX0tZ6RLUEVERBrFRE6LHA18e4w6XwOO\nmXxzWttI9xLRJagiItJIJhIuOhh7Ea3twIzJN6e1VbpKBDSZU0REGstEwoUDXjFGnVcCT0++Oa2t\n0r1EFncu1mROERFpKBMJF9cDnzOzF1TaaWYH4O+cemMYDWtF2XxueEEezn/xu6NpjIiIyCRNZELn\nfwBvB1ab2X8BdwE7gLnAq4CzgceBy0NuY0vwV4mUnhKJMbt9ViTtERERmaxxj1w457LA64BvAmcB\nNwG/Br4PvAMfPl6jhbQmp9JVIvPiCyNoiYiIyNRM6N4izrndwEfM7OPAEmAOsAV40jmn5RmmoHS+\nRT4Ppyw5JaLWiIiITN5Eb1wGgHMugz8FIiFIpXvJVLhR2eEL94+gNSIiIlOjW67XgUqnRGLEmJbU\nr0dERBqP3r3qQKVLUPeJVbwoR0REpO4pXNSB0huV5fNw8n5viag1IiIiUzOpORdhM7N2/NLhpwD9\nwBXOuSvHOOZg4GHgzc6526veyCqqNBP28EULat4OERGRMNTLyMXl+HuSnABcAFxqZmNdKnE1TbrU\neAyY29URdTNEREQmJfJwYWYzgPOA9zvnVjnnbgEuAy4c5ZgzgKZZEztR9muIEYvFImmLiIjIVEUe\nLoDl+NMzdxeV3QkcW6mymc0F/g14L/5DfkPzK3MONy3WHklbREREwlAP4WJ/YGuwdkbBZqAjCBKl\nrgRWOOfW1KR1VbZi9UpyDL+nyLR4IqLWiIiITF09TOicAewuKStsD/sIb2avw9959fwatKvqUule\n3I51ZeUHzday3yIi0rjqIVwMUhIiirb7CwVm1gFcA7zPOZee7IvF4zHi8fDOpiQS8WHfJ+I7q75X\nfrOyPJy3/HSSWkBrTFPpe5k89Xs01O/RUd9PXD2Eiw3APDOLO+cK5wcWAAPOuZ1F9V4GLAZ+aGbF\n6eDnZvYd59wF43mxOXM6qzJZsqtr+oTq9wymeGzb2rLyfWIHcOD8+WE1qyVMtO8lHOr3aKjfo6O+\nH796CBcPAkPAy/G3cQc4HrivpN69wNKSsnX4K01+Pd4X2769L/SRi66u6fT0DJDN5sY+IPDv93+r\nbNQin4cT5/0NO3b0hda+ZjbZvpepUb9HQ/0eHfX9Xt3dneOqF3m4cM4NmNl1wDVmdi6wELgYf1t3\nzGw+sMs5NwgMWyfbzAA2Oue2jvf1crk8uVz4N3DNZnNkMuP/o1u7/YmystyuudhR8yf0PDLxvpdw\nqN+joX6Pjvp+/OrlBNJFwP3Ab4GrgEuC9S4ANgGnjXBcw97mPZsf/geaz0Ps2aM5YN74UqGIiEi9\ninzkAvzoBXBO8FW6b8QA5JxryGs2/doWpRM5Yyzed16op2xERESiUC8jFy2l0i3Wcz1zWPyCrgha\nIyIiEi6FiwiU3mI9n4f0k8s55IDZEbVIREQkPAoXNZZK95IpucU6AJk2XvgChQsREWl8Chc1VumU\nCPkY82Z30NXZVvsGiYiIhEzhosZKT4mAn29x8P6abyEiIs1B4aLGsiWnRArzLRYvmBVRi0RERMKl\ncFFjFRfmyLRx4HyFCxERaQ4KF3Xi4P0VLkREpDkoXNRQKt1bXhhM5uzsmFb7BomIiFSBwkUNjbR4\nlk6JiIhIM1G4qKGRFs86SJM5RUSkiShc1FDplSKAn8y538zaN0ZERKRKFC5qaKRbuGrkQkREmonC\nRY1UnMwJzJoxjdlamVNERJqIwkWNjLTs98J9ZxKL6TbrIiLSPBQuamSkZb8P2LczgtaIiIhUj8JF\njWTzuWHbhStFFu6ryZwiItJcFC5qJE7JqY88kGljka4UERGRJqNwUSPtyY7hBdkksRgcME+nRURE\npLkoXNTI7szg8IJEhgVzZtA2LRFNg0RERKpE4aJGcgyfc0EMnRIREZGmpHBRI5UW0FK4EBGRZqRw\nEaFF+2llThERaT4KFzUw0uqcB87XyIWIiDQfhYsaqLQ6Zywf07LfIiLSlBQuamDdzvVlZR1D+2nZ\nbxERaUoKFzUxfDpnPg/L214fUVtERESqS+GiBtoS7cMLMkleuN++0TRGRESkyhQuaqDSAlq6p4iI\niDQrhYsaqLSA1v5zZ0TTGBERkSpTuKiyVLq3bAGtGGjZbxERaVoKF1VW6TJUSu+QKiIi0kQULqps\n3c4ny8rmxQ+IoCUiIiK1oXBRZdl8dth2Pg9veMFbI2qNiIhI9SlcVFmlG5YdMl+XoYqISPNSuKiy\nRGkX52OTXCjmAAAW00lEQVTMnd0RTWNERERqQOGiytqTw4NELJ8krmW/RUSkiSlcVFnZAlrxTDQN\nERERqRGFiyorX0Cr0iwMERGR5qFwUUWVFtASERFpdgoXVVRpAa24ulxERJqc3umqqNICWod2vzCC\nloiIiNSOwkUVlS6gRR7OPuL0aBojIiJSIwoXVVRpvsWsNt1qXUREmpvCRS1peQsREWkByagbAGBm\n7cDXgFOAfuAK59yVI9R9M/B54BDgCeAS59xPatXWiUgQJ1t0KWpMWU5ERFpAvbzbXQ4cA5wAXABc\namanlFYysxcBPwS+BSwHvgH8wMyOql1Tx690dc72eHtELREREamdyEcuzGwGcB5wsnNuFbDKzC4D\nLgR+VFL9dOA3zrn/DLa/ZmZvAU4DHq5Vm8erdHXOodzuiFoiIiJSO5GHC/wIRBK4u6jsTuDjFequ\nANoqlM8Ov1lTk0r3DjslApDTkloiItIC6uG0yP7AVudc8U03NgMdZja3uKLz9oxQmNkRwEnAr2vS\n0gnQAloiItKq6mHkYgZQer6gsD3iJAUzm4eff3GHc+7H432xeDxGPB7eZRuJRHzY94KKC2jNWUIy\nqYARlpH6XqpL/R4N9Xt01PcTVw/hYpDyEFHY7q90gJnNB27DLyVx6kRebM6cTmJVuOV5V9f0YdvZ\nfK6szsXHn09XR2for93qSvteakP9Hg31e3TU9+NXD+FiAzDPzOLOucI78gJgwDm3s7SymR0A/BbI\nAic457ZN5MW2b+8LfeSiq2s6PT0DZLN7A0W+wvyK7ECcHQN9ob12qxup76W61O/RUL9HR32/V3f3\n+D4g10O4eBAYAl4O3BWUHQ/cV1oxuLLkF0H9E51zWyb6Yrlcnlwu/ImV2WyOTGb0P7qx9svkjKfv\nJXzq92io36Ojvh+/yMOFc27AzK4DrjGzc4GFwMXAWbDnFMgu59wg8AlgMX49jHiwD/woR0/NGz+C\nVLq3rCxBIoKWiIiI1F69zE65CLgff7rjKvyqm7cE+zbh17EAv4LndOBeYGPR17/XtLVjqHSlyNLu\nJRG0REREpPYiH7kAP3oBnBN8le6LFz1eVst2TVbZlSK6G6qIiLSQehm5aCplt1qP6W6oIiLSOhQu\nqkDrcIqISCtTuAhZpcmcIiIirUThImSVJnPqShEREWklChchq7Tst64UERGRVqJwEbKyZb91pYiI\niLQYhYuQxSlZWjwW05UiIiLSUhQuQtae7Bi23TbyjV1FRESaksJFyHZnBodtZ0hH1BIREZFoKFyE\nLEdu1G0REZFmp3ARMi2gJSIirU7hIkRaQEtEREThIlRaQEtEREThIlRaQEtEREThIlRlC2ihBbRE\nRKT1KFyEqHQBrThxLaAlIiItR+EiRKULaHWUbIuIiLQChYsQlS6gVbotIiLSChQuQqQFtERERBQu\nQpNK95YtoKUFtUREpBUpXITk2w/fUFamNS5ERKQVKVyEZO32J8rKtMaFiIi0IoWLkGTz2bIyrXEh\nIiKtSOEiJJXmV2iNCxERaUUKFyFJlHRl6baIiEir0DtgSEoXzCpdUEtERKRVKFyEZFALaImIiAAK\nF6HoGUyRLVtAS6tciIhIa1K4CMFX77m2rCyurhURkRald8AQPLplbVmZ1rgQEZFWpXARgmxOa1yI\niIgUKFyEIF9hfoXWuBARkValcCEiIiKhUrgIQSI2/AZlWkBLRERamd4FQ6AFtERERPZSuAjB4JAW\n0BIRESlQuAhBluFXi+RKFtQSERFpJQoXU5RK95aVaW1OERFpZQoXU/Tth28oK0uQqFBTRESkNShc\nTNHa7U+UlWl1ThERaWUKF1OUzWt1ThERkWIKF1NUaX6FVucUEZFWpnAxRaV3P9UCWiIi0ur0TjhF\nbfH2YdtaQEtERFpdMuoGAJhZO/A14BSgH7jCOXflCHWPBq4GjgIeAd7nnPtzrdpaandu9/BtLaAl\nIiItrl5GLi4HjgFOAC4ALjWzU0ormdkM4Fbg90H9u4FbzWx67Zo6XL5kwSwtoCUiIq0u8nARBIbz\ngPc751Y5524BLgMurFD9nUC/c+6jzvsgkAJOrV2L99ICWiIiIuUiDxfAcvzpmbuLyu4Ejq1Q99hg\nX7E/AK+oTtNGt2L1yrIyLaAlIiKtrh7Cxf7AVudcpqhsM9BhZnMr1N1YUrYZWFjF9o1o3c71ZWVa\nQEtERFpdPUzonAHsLikrbLePs25pvRHF4zHi8diEGjiiGMPOg8SI8Q/LzyCZrIfM1vwSifiw71Ib\n6vdoqN+jo76fuHoIF4OUh4PCdv8465bWG9GcOZ3EYuGEi2XzDuHh5x/bs33k/MM4cP78UJ5bxq+r\nK7L5vC1N/R4N9Xt01PfjVw/hYgMwz8zizrnCpRYLgAHn3M4KdReUlC0ANo33xbZv7wtt5OKsw9/J\nN3bfwIa+TbywexFnLjuNHTv6QnluGVsiEaerazo9PQNks7pKp1bU79FQv0dHfb9Xd3fnuOrVQ7h4\nEBgCXg7cFZQdD9xXoe49wEdLyl4FfH68L5bL5cnlwrmmY3p8Bhcf+166uzvZsaOPTCZHJtPaf3hR\nyGbV71FQv0dD/R4d9f34RR4unHMDZnYdcI2ZnYufnHkxcBaAmc0HdjnnBoEfAP9qZl8GvgH8E34e\nxo2RNF5ERETK1MvslIuA+4HfAlcBlwTrXYA/5XEagHMuBfwN8GrgT8DLgDc65wZq3mIRERGpKPKR\nC/CjF8A5wVfpvnjJ9p+Al9SoaSIiIjJB9TJyISIiIk1C4UJERERCpXAhIiIioVK4EBERkVApXIiI\niEioFC5EREQkVAoXIiIiEiqFCxEREQlVLJ8P5z4bIiIiIqCRCxEREQmZwoWIiIiESuFCREREQqVw\nISIiIqFSuBAREZFQKVyIiIhIqBQuREREJFQKFyIiIhIqhQsREREJlcKFiIiIhCoZdQMamZm1A18D\nTgH6gSucc1dG26rGY2YvAL4KnIjvxxuBjznn0mZ2MPBN4BXAU8CHnHO3FR37OuDLwBLgbuB859z6\nov0fBP4FmAXcBFzonBuswY/VcMzsVmCzc+7cYPtg1PdVYWZt+L47HdgN/Jdz7hPBvoNRv1eNmS0E\nrgZeDWwDvuKc+0qw72DU96HQyMXUXA4cA5wAXABcamanRNqixvRDoAN4FfBO4G+BzwX7bgE2Ai8B\nrgduDv5zwMwWATcD3wb+CtgK/E/hSc3sbcCngPOB1wIvBy6r/o/TeMzsncAbS4r/B/V9tXwVOAl4\nPfAu4HwzOz/Yp7/56roJSOH/7/4g8AUz+7tgn/o+JLpx2SSZ2Qz8H9fJzrk7grJPACc5514baeMa\niJkZ8Cgw3zm3NSh7J/Al4Ez8P/b9CunfzG4D7nDOfdbMPgscV+hvM5sO/AX4W+fc7Wb2e+DXzrnP\nBftfBfwKmNuqnyYqMbNuYBX+P9VHnXPnmtlr8f9xqu9DFvT3ZuC1zrk7g7KPAIcC30V/81VjZvsA\n24EjnXOPBmU/wP/t34z6PjQauZi85fjTSncXld0JHBtNcxrWX4A3FIJFkdn45P/nkn+Yd+KHLMH3\n9e2FHc65AeDPwCvMLA68FLij6Nh7gDb87072uhy4DlhTVHYs6vtqOQ7YWQgWAM65y5xz/4D+5qtt\nAOgDzjGzZPDh5lXAA6jvQ6VwMXn7A1udc5miss1Ah5nNjahNDcc5t6vknGYMuBD4Db6PN5YcshlY\nGDwebf8++FMte/Y757L4c6wLEQCCEYrj2XsaqkB9Xz1LgKfM7D1mtsbMnjCzTwZ/++r3KnLO7cb/\n//JP+KCxBviZc+5a1Peh0oTOyZuBn4hVrLDdXuO2NJMvAUfjPwVcROU+LvTvSL+D9mAfo+xvecGE\n5GuAC5xzu/2HuD1G69ux9qvvRzcTfwrkvcDZ+Detr+MnM6vfq28Z8GP8iN1RwFVm9hvU96FSuJi8\nQcr/aArb/TVuS1Mwsy8C7wdOc849amaDwJySau3s7d+Rfgc7gn2MsF+/H+/TwH3OuV9X2Ke+r54M\n/mqC051zzwGY2UH4SeG/AkpHPtXvITGzk4DzgIXBKMYDwYTNT+JHS9X3IdFpkcnbAMwLzrUVLAAG\nnHM7I2pTwzKzq4APAWc45wozsDfg+7TYAmDTOPZvw/+D37PfzBL4/zw2IQDvAN5qZikzSwFnAO82\nsx7gOdT31bIJGCwEi4DDD5/rb766jgHWBsGi4AHgQNT3oVK4mLwHgSH8JKCC44H7omlO4zKzS/FD\nxO9wzt1UtOse4Jhg+L7guKC8sP+4oueZgT+lcrdzLo//XRxXdOwrgTT+ygiB1+CHhZcHXz/Gz5Zf\nDtyL+r5a7sHPzTqkqOxw/LoK9wAvUb9XzUbgEDMrHrVfBqxHfR8qXYo6BWZ2NX6m8bn4Tx0rgLOc\nc7dE2a5GYmbLgIeA/4dfkKzYFvw/zEfwEw7fAnwMOMI591wwlPwo8Bngp8ClwKHOuaOD534Hfk7B\n2fj/VP4Lf6nYh6r8YzUkM7sWyAeXosZR31eNmf0Yf9rpAvyci+uAz+IXd3oIeBj1e+jMrAs/ifM2\n4AvAYfg++ljwXX0fEo1cTM1FwP3Ab4GrgEsULCbsLfi/w0/i/0FuxA8jbnTO5YC34oca/4RfbOit\nheFk59zT+NVRzwX+iJ+x/dbCEzvnvg/8K36y3C/xlw1/tCY/VYML+v7vUN9XyxnAOvyliyuArzrn\n/jPo97egfq8K51wPfvGy/fH9dwXwWefct9T34dLIhYiIiIRKIxciIiISKoULERERCZXChYiIiIRK\n4UJERERCpXAhIiIioVK4EBERkVApXIiIiEioFC5EREQkVAoXIiIiEiqFC5FJMLOzzex/zex5Mxs0\ns7Vm9mUzmx912ybKzD5tZutDeJ4zzWxeGG1qZOPpTzPLmdmZweOkmX2wZL/6UhqawoXIBJhZzMz+\nB7gcfwfR1wCHABcCLwX+1IBvCvnga9LM7NX4e2TMCKNBDW48/bkA+H7w+F34e1wA6ktpDsmxq4hI\nkYuANwIvc84V30r5OTP7Pf4uov8C/N8oGhehOFMMKK3EOfd80Wbphzz1pTQ8hQuRibkQuK4kWADg\nnBs0sxOBvxTKzOx44NPAXwHtwJPAF5xz3w32X4t/M9kJnAnk8HfY/R7wjeC4tcA/OOfuC47pwo+c\nvBVow9/B8aPOufuD/dOD53gz/s6Na4DPOeduHu0HM7NPAh8InvPHwPudcztGeM37gY845+43s9fg\n7wwMsN7MPgB8FTjGOfdgcPzNwIlAt3Mub2YxYDPwQefcDWb2SvwdJV8KbAF+AnzMOZcKjp8GfB5/\nN9HZ+NtiX+qcuy3Yfxb+zrqfD74vwge99zvn7hrh5702eLg16PuZwc9xvnPuL0GdhcC/4e+kOQu4\nE/iwc+7h0foyOPYjwP8B5gL3AO91zq0L9uXwt+aO4W/NjZllgdeW9OU5zrnrxtE/64EfAG8C9gXe\nhr+78FXAK/B/Y3cB/+Kce2SstotMlU6LiIyTmS0GDgJ+M1Id59yzzrmhoP4LgF8A9wIvDr7uBb5l\nZvsWHfZOIA0cgx8e/xT+zf2L+DeTQeBrRfV/HrTjTcDL8G9cfzCz5cH+zwNHAm8ADgvqf8/MDhzl\nxzsY/8Z2EvA3wev+1yiveXfRa/4B/2aWD477FvAU8PqgH+LACfg372OC5zsWHxJuNbMXAbcBPwva\nfXpQ71dFr/8d4HXBvhcDNwI/MbM3FtU5EPhH/GmGo4E+/OmF0ZwOdAPH4/vrJfj+w8xm4t+QXxD0\nySuAfuB2M1s0xvMeDLwyeM7j8bf4/laFet8DPojvuwWU9+X3x9k/AP+MD79vwP+dfR94Lqj7MiAL\n/GiMdouEQiMXIuNXmKy5pbjQzH6M/1Re8JRz7iigA/iUc674fPoXgbOAQ4ueZ6tz7sPB/n/Hv7l9\nzzl3a1B2LfDl4PFJ+Dfmec65ncHxnzSz4/CjDucCS4BU0I5dZnYJ8Dtgxyg/2wBwmnNua/A6FwK/\nNLMlwOLRXtM5d66ZbS/6WQbN7CfAXwNfwr+xpfGB5ET8qMebgDuC9n0Y+KVz7ovBczxpZmcATwTz\nDzbgA9iLnXMPBXX+3cxeDHwYH3zA/3/2j4VRBTO7ArjZzOY75zaP8HPvDI7JAo+b2ffwp70A3gPM\nAd7unNsePOe7gCfwb+SjnfpKA2c45/qC475OEFqKOed2m9mu4PGWoG5xX+42s38ZrX+cc7cH5T9z\nzv1v4bmD390vgWeccxkzOwcfNkWqTuFCZPy2Bt/nlJS/l72T7z4A/C2Ac+5JM1thZu8HjsJP/FyO\n/1SaKDr+ycID51y/mQ0rw7/xtwWPj8aPOD4b1CtoK6rzRfzIxxYzuxf/CfeGwhD6CNYWgkXgXvyQ\n/ZH4IDTWa5b6CXC+mbXjRzB+gx/NeC3+9MqbgcJpiaOBQ8ystH15YBmwX7B9Z3A6pSBJeWB6rOjx\nrqJ2juSJIFgUH1OofyTweCFYwJ5TX38EjgpGLx4N2hkD8s65rqDq5kKwCOwApo/SjtEcw+j9UwgX\na0v2fxz4CvDPZvY7/Cjaykm2QWRCFC5Exu9J/HnsE4CbCoWF8/Mw7FMnZnY4cAd+TsRtwA/xoxX3\nlTzvUIXXyo3Qhjj+DfAY/Btasd1Be+4J3vhejz+VcCZwiZmdXPzJtkS2ZLsQfnaP5zUr+F2w74Sg\nDdcBTwMXBqdnXoy/2qbwM30X/8m+9Pm34EcS8sBxQO9o7S6ckipR+pxjtT9W8r1UHP8724APi5WU\n9udUjNU/BQPFO5xzV5vZTfhRopOAz+L/DpYXRklEqkXhQmScnHM5M/sq/j/oa0aY1Fc8r+GfgL84\n504uFJjZ37L3k+5kPAJ0Ae3OuT2f0s3sm8ADwNfM7NPAnc65nwI/NbOLgNX4c/kjhYtDzayz6NP2\n8fiA8yg+aIz6mpRc3RAMw/8S+Dv8aZEz8RM4pwGfAR5yzj1b9DMd7pxbX/TchwGX4U89PILvrxc4\n535RVOcL+Df5T4/RZ5P1EHCmmc0rOl3UgZ9ku8I5l2P4CNNklV4ZUro9Vv88WvqEwZyeTwH/5py7\nDrgumAP0HP7y6R+E0G6RESlciEzMZfhP3XcE8yduxX+qfxF+Mt3rgG8HdZ8BFpnZG/BvAH+FH6YG\nf+XIZPwCWIWf6PcB4Fn8+f+zgOuDOkuAM8zsvfj5AS/Hh54/jPK804EbzewT+KsNrgK+45x71sw2\njPKa3w2O78UHgKPNbFsQUn6Cn8S40Tn3NICZ3YWfy1A8/+AK/CTJ/wD+Az/B8j/xc1YeD4LKT4Fr\ngrkgq4FTgY/ir7gYzWRDHMANwMfw/fIR/DyKS4FO/JU8YekFMLNj8H8nw/qSMfpnhOfcjj/1tMTM\nPo6fg3M2fqTm/hDbLlKRrhYRmQDnXN45dzpwHn6Y/peAw78ZbwZe7Zx7b1D9q/gZ+/+Nv3Ty4/g3\nq6fwVwKMZMQ1DoJPy6/Dn2r5Pv5N/zjgrc653wfVLsDPcfjvoG2fwV82Otr59vuAB/EjG98DfooP\nEGO95u+C4x/GX83wPfwcFILtBMOvrvk1/o2zcEoE59y9wMn4Uwz3A/+Dv3z2dc65TFDtNPxppWvw\n4eI9wLnOuesZ3aTXi3DO9eA/5e8I2n07PhS+qhCWpqC4Xb8F/ogPf2+mpC/H2T+lI0dZ/OmkXND2\nh/GnRt5UPAIiUi2xfF5rtYiIiEh4NHIhIiIioVK4EBERkVApXIiIiEioFC5EREQkVAoXIiIiEiqF\nCxEREQmVwoWIiIiESuFCREREQqVwISIiIqFSuBAREZFQKVyIiIhIqP4/6vjFra591RQAAAAASUVO\nRK5CYII=\n", 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CW7cuuVhZxi3+oXVdONB2oOFWhmTSDt/52jFSyQymafCOnzxM7+aVnbIREZHG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\nXQzTgYfw22cPNbOv0mzH491Kw/Hk4hRggJndS2VN/r0IM/s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DIO1UayFJaj+FChYmDzOMjpbpGxxq2Vn4TMMccx0GyWqthRkPScqH1C8kFUJ4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\nTQYLkiSpJoMFSZJUk8GCJEmq6f8DhVrAK9FMinwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.804132402682\n", "slope = 0.0497985480906 children per woman / percent illiterate\n", "intercept = 1.88805061064 children per woman\n" ] }, { "data": { "image/png": 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+EYkvASUOpmn2At8GMAzDAr43XCYiUfblbUtvGOMQDt1DPRxoeIkj54/htnwN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\nEOgh015/IF+o0+MvgPYq/Xw+7ud2+BSwA/gteVG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ISNtYvbOERv+D3zyt3ukQgiQodwMfds7tBt4NvOqc+zXwBbzEpcNSTxQRkfiLRqOs8P+m\njhiQS0GvLiFHJO0hSILSFTji374NeNW/XQ1c13aSZvaimT3R7P5QM3vVzM6b2Q4zu63F4xeZ2XYz\nqzSz18K+xKSeKCIi8Vd4/FLvk/kT+4ccjbSXIAnKLuBdZnY3UAC85B9/FNgdNBAzez9wV4vDzwLH\ngGnAfwOLzWyg//hBwGLgZ8B0oNR/fKjUE0VEJL5WbDsGQKeMNGaMVu+TjiJIgvIl4HFgCfBr59w+\nM/sW8LfAPwUJwsx6AI8B65odWwgMBz7hPF8HVgMf8x/yKLDeOfe4f7npEWComS0IEkO8qCeKiEj8\nXKhrYO3ukwBMH92X7Cz1PukoYk5QnHMvAQOBqc65D/mHfwtMcs79IWAc3wSe4u0zMLOATc655k1F\nVgCzm51f1iyuamBTs/OhUE8UEZH42bT3FNW19YCKYzuaQOu0nHOnnXNbm91f55zbE+S1/JmS+cA/\ntzhVgHd5p7kSvOSoNedDM7dZT5SVOzSLIiISVFPvk97dOzPKb+UgHUOr5srMrBBoVWMP59zw1n5z\nM8sCfgR8yjlXa2bNT+cAtS2eUgtktfJ8aHr7PVH2HD7Dim3HeNfsIaRFImGHJSKSVErPVrPnUDkA\n8yYW6O9oB9Pai3m/oJUJSoy+gldH8tplztUALVsFZgFVzc63TEaygPJYg0hPj3/Dn5unDmTP4TOc\nOlPD/uKzjB2aGl0Pm8aqLcYslWncYqcxCyaVxm3NzhKiQARYMHkAGRlt8zOl0pi1p7Yer1YlKM65\nr7TR938f0M/Mzvn3swDM7CHga8DYFo/PB5oajBT791ue3xxrELm52bE+5ZoW3TiUX77iqKyuY/XO\nk8ydMiju3yNMbTFmHYHGLXYas2CSfdwaG6Os8C+RTxrVh5FDe7X590z2MUs1gcqhzWwiMIFLfU8i\neMnFDOfcozG81E1AZrP7j+HN1HwOGAr8nZllOeeaLuXMA5b7t9f495tiygGmAF+O6YcBKiqqaWho\njPVp1zR7XD9e23CUVduOcfTYCLpkZ177SQkuPT2N3NzsNhuzVKVxi53GLJhUGbddRWWcLPMmzGeP\n7Ud5eWWbfa9UGbP21jRubSXmBMXMPsOllvZNs29Nt5dd9klX4Jw70vy+P5MSdc4VmtkhvIZwPzez\nfwbuBWYAH/Uf/gTwWTP7HPACXmJywDn3Vqw/U0NDI/X18X9TzptQwGsbjlLX0MiKbce5dVro9btx\n01Zjluo0brHTmAWT7OP21uZiALKzMpg0ole7/CzJPmapJsgFpL8AvoFXpFqKt2pmEt4S4efiFZhz\nrhG4D++yzQbgA8D9zrmj/vlDwIN4fVHWAXl4ewMljMH9ujGkXzcAlm9tueBIREQup6qmno3Oa3R5\n49h+dMq8riblkqSCXOIZCPzUOVdjZlvxLus858+sfAuviVsgzrlHWtw/CNxylce/AowO+v3aw4JJ\nBfzyj+c4fPI8h06cY0h+t7BDEhFJaGt3neCCP5Mxb6J6n3RUQWZQKrlUe7IfGOff3o1XNyLNzBrb\nj0y/8nyZZlFERK7pLf9v5eC+XRmqD3UdVpAEZSVe8WoO3oqZe80sDa9gtSKewaWCnM6ZTDdv74g1\nu0qo1QaCIiJXVHSigsMl5wGYP6k/EfU+6bCCJCh/D9yJV4vyG7wakTK8VvU/j1tkKWTBpKYNBOvZ\n6E6GHI2ISOJatuXSxoCzx/ULORoJU5C9eHYAI4AnnXPn8fbE+SrwsHPuH+IcX0oYNSiPvj28pVjL\ntx6/xqNFRDqm2gsNrNlVAngbA+Z0Tv7WDBJcoD4o/sZ81f7tErziWLmCSCTC/IkF/P6tg7gjZygp\nq6Jfz5ywwxIRSSjr9pRQc8G7DL5gUv+Qo5GwBemDctV9eWLZi6cjmTuhgMXLCmmMRlm+7TgP3Twi\n7JBERBJK00KCgl45jBzYPeRoJGxBZlBa7suTAYzCq0v5UjyCSkV5XbOYOKIXW/aXsnL7cR5YMIz0\nNO37ICICUHzqPAeKvXUWC1QcKwRIUK60L4+ZfQJYBHznOmNKWfMnFbBlfylnKy+wbf9ppozqE3ZI\nIiIJoWlpcXpahNnjW26zJh1RPD/CvwzcFcfXSzkTR/Sie9dOwKVfRhGRjq6uvoHV/saAU0f1ITen\nU8gRSSKIZ4LyEOqDclXpaWnMn+gVfm0/cJrSs9UhRyQiEr6Ne09RWVMPwILJKo4VT7yKZLsBPQmw\nk3BHs2BSAS+uKvJ2Vtx6nAcXqKZYRDq2pt4nvbt3ZsyQHiFHI4kiHkWyABeA1c65pdcdUYrr3T2b\nCSN6se3AaZZvO8a9c4eSka5iWRHpmErKq9hz+AzgFcemqThWfHErkpXWu2lyf7YdOM3Z8xfYuv80\n00zFsiLSMTUtLU6LRJg7QRsDyiWtSlDM7COtfUHn3FPBw+kYJo7oRY9uWZSfq+WtLcVKUESkQ6pv\naGTldq84tunvokiT1s6g/LzF/SgQwesmWwfkAg3AKbw9eeQqvGLZAp5fWcSOwjJOnqmmb1522GGJ\niLSrTXtPUVF5AfBmlkWaa1Xxg3MurekL+CCwFZjinOvinMsDDNgA/FvbhZpavEZE3u2mAjERkY5k\n6eZiAHrldmbC8F4hRyOJJkh15jeATzrntjYdcM7tAz4NaLPAVuqZ25lJI3oDsGLbMeobGkOOSESk\n/Rw/XXmxOPbmKf1JS1NxrLxdkAQlD6i5zPF0QNcpYtA0pVlRVcfmfaUhRyMi0n7e9GdP0tMizJuo\nyzvyTkESlDeB75vZ0KYDZjYG+AHwQpzi6hAmDO9Fr1yvKKxpqlNEJNXV1jWwyi+OnWZ96N5FnWPl\nnYIkKJ8CegAHzKzUzMqAHXjFsp+OZ3CpLi0twnx/S/Hdh8opKa8KOSIRkba3bncJVbVe59ibJw8I\nORpJVDEnKM65YmAScDdeUey/ALcBc5xz5fENL/XNn3ipMdFbKpYVkQ5g6Wbvb11BrxxscF7I0Uii\nCtJJFudcA/CK/yXXoUe3LCbd0IvN+0pZse04D8wfTmaGOsuKSGo6dOIchce9bdtunjyAiDrHyhW0\ntlFbA1DgnDtpZo28s9X9Rc659HgF11HcMmUAm/eVcr66jo3uJDeO01bjIpKamopjO2WkMWeC/tbJ\nlbV2BuVjwNlmt6+YoEjsxg7rSd+8bE6eqeaNTcVKUEQkJVXV1LNml1ccO3NMP7p0zgw5IklkrUpQ\nnHO/aHb7520WTQeVFolw85QB/O7N/ewvPsvhknMM7tct7LBEROJq9c4TXKjzej7dMlXFsXJ1MRc7\nmFknM/sHM7vBv/9TMztvZq+YmVoBBjRvYsHF2pM3Nh0NORoRkfiKRqMX2ykMye/GsILckCOSRBe0\nk+xngFwzuxP4KPA1oBvwzfiF1rF0zc5k1th+AKzZWUJlTV3IEYmIxM++o2cpLq0EvLo7kWsJsorn\nPcDDzrlNZvafwFLn3NfM7BXgpSBBmNkIvEZvc4HTwPedc9/0z30Hr79K0waFUeDTzrkf+ucXAd8G\nhgOrgUedc4VB4gjbrVMHsmLbcS7UN7Jy23Funzk47JBEROKiqTg2OyudWWP6hRyNJIMgMyi9gN3+\n7duBP/q3TwM5sb6YmUWAF4ESYDLwf4Avmtn7/YeMAT4PFAD5/n+f8J87CFgM/AyYDpQCz8b8EyWI\nIfndGNHfm/Z8Y3MxjVHVIotI8jt7vpYNe04CMGdcAVmdtNhTri3IDMoBYIaZ9QWGcakXyv3AwQCv\n1w/YDHzKOVeJ16H2dWAe8Fu8BOUx59zJyzz348B659zjAGb2CHDCzBY455YFiCV0C6cO5MCxXZws\nr2ZXURnjh6msR0SS21tbjtHQ6H3gWjhNl3ekdYLMoDwG/AZYAbzhnNtqZv+IV38Scw2Kc+6Ec+5h\nPznBzOYCC4A3zawbMADYe4Wn3whcTEScc9XAJmB2rHEkiumj+9Itx1t698ZG7c8jIsmtvqGRN7d4\nf8vGDe1BQa8uIUckySJIq/ungJnAw8C7/MPrgTv8c4GZWRFewrEKeAYYi1dz8kUzO2JmW8zsI82e\nUgC07A9fAgy8njjClJmRxgJ/f56tB0opPVsdckQiIsFt2nuKs+cvAHDrtEEhRyPJJFBPdefcNryC\n2KFmlgG87px7PQ7xPAjcA0wBHgcMaAR2AXcBPwV+bGb3+Y/PAWpbvEYtkBWHWELjtX+GaPTSnhUi\nIsnotY1e24Te3TszcYQuWUvrxVyD4he1/hvwV0AnYBTwr2ZWCXzSORd4faxzbpP/Pf4W+G8gF3je\nOXfGf8gOMxsFfBJ4DqjhnclIFhDTpoXp6Ym1902/XjlMGdmHTXtPsXzbMR68eTidMhKjqKxprBJt\nzBKdxi12GrNgEmncik5UsP+o14R80fRBdErQ4thEGrNk0tbjFaRI9tPAh4FP4S0NBm/lzA/xLq98\nIZYX84ttZzvnnmt2eBde8tPNOVfW4im7gVv828V4K3uay8crum213NzsWB7eLu67+QY27T3Fuao6\ndh46y8LpiTU1mohjlgw0brHTmAWTCOP2yz965YOdMtO59+Yb6JbTKeSIri4RxkwuCZKgfAL4S+fc\nYjP7HoBz7n/M7AJeP5KYEhS8lUDPmNlA59xx/9h04BTw12Y2xzl3W7PHTwH2+LfX4K32AcDMcvzz\nX44lgIqKahoaGmMMu20N6ZNDv545lJRV8fyy/UwZ0TPskAAvY87NzU7IMUtkGrfYacyCSZRxO1d1\ngaV+V+zZ4/pRX1tHeW1iNqBMlDFLNk3j1laCJCjDuPwMxVbeOZvRGuuBDcATZvYZ//UfA/4FLwH5\nO//4s8AdwIeAm/3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GXXdE0q4y0tO4d+4wfvbibk6UVbFmZwlzJxSEHZaItJElq4q4UN9I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\n6jwb9BAuKZmLS8Qmq+obUP/fVVXvxt1tdC0uRufh7qCa7mtYDsbdQvw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JYLEo+8Jh+O7SJ3j37M+QsjKFb6oQn7761bzN+zWmGkMkK3L81JRY7AMHDPV6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342cxvPk4Jzdvxdrt1xA2d0/G7IY8Xn1BH78BIGFi8htmgxsUWLeeDJaTz3XIS33wanSY5TUACH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\nCuNF/vq3g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h2rRjqtgzkdpQIiMikjHjWyaxb+uhte6GSCookRGRiurt7WX58sfp6uqhv39gp/pSTpOI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\nGuBwd3/pU7OZHUaYg/HvhE/5RwET3f3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wyKimvHOvJAkMMqox79wrSXKOjCRJqi2DjCRJqi1PLUmSxkTznX8H4p1/NVIG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\n51PeqB8RES8b5jreS3kjmU9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Flkuonj68R0+YUsxSEffiBXQ4Ysozw2FTKaEUcn4OXBclJO5z38FZWkKl0qiB\nAUSphFNvEOTzqFgMOTVJ6MKbiNUVdCZDcOIEIhyGaBzCIUQkipdOE7p8kcjCPP7oEapf/ceIwCf8\nd39rkjeTbWbEttZoR6JTSXM8UqkgZ2dRvf0En/yUCRgqFcTCHOHnnoVaFf/kaXR7O7RaBD09EDel\nk2JzA7m8DCpA9/QSZLOI8g6yvI2OxtFSoIMA6QfotiTKcU2SpJToeBxxdZrIa+cIuvtpPfMMamAY\nN5mAtoQJzm4zGzhYlmVZe2N3XgS+byodIpEff4zWiK0t5Pys6dCYSuOdftK8+69WcV9/FTzPBAqu\n+3alxOoKBAHacXBfPoszO212HLp7ENXKtU6TXjKJMz2Fe/68GaWdSuE/+ijSCUEsjo5FEW4IL58n\ndOUykZfPoEYOUvuXvwlCEn7hWeTaGjrVhkqlTPJhOISKxtGZNLJcRs7NoQYGCY4/avonVCrImRki\nLzyLbjXxTj4G2RwEPqqnGx2Nm4BhbQ25smRmYwyYIxdZKiK2SxCNoR0Hmi1TMZHJEKgAZ2UFHY2h\nwhFCVy4hytv4+/bjn/wZM1L8Brkit5MNHCzLsqzbS2vE5iZyu4jq6ka3Ja//uPI2zvSsyXkIhwiO\nP2ISHz0P9803oFgk6O5GhkKmUiKeQK6vQbWKjkRwL7xpchrCIYKuLkStsTtiu50gk0UuzBN67lnc\nxVl0PIn/0HFkKIKIx1DxODiSIN+OOzlB5JUfooaHqf/av4RYjNALzyPXVtCxOCqZQkgBsZgJGOJx\n5E4ZOT9HMLQPdfIxc3OvVpHTk4RfeB4Cn9ap05BKm4Chrw9iMXQQmPyFtVVwQ6j9I+hYDLm1CcUi\nOhY1pZSNuqmUyLdDvYFcXEC3JU2g9Obr4AeogwfxP/UMurNzz0ovr8cGDpZlWdZtIyo7yNUVVCZ3\n43HXtRqsziPHplGNJsHhI9c6PsqxAs7ivNlh6O+HXJ4gk0VsbuKsrqBicdzpSeTlS2jpEORyiHrd\nJDhm8/iDA8jlJdy//Bbuwhw6EsV74DgyGkFEowSJNoSUBO3tuNPTRF49h+rto/5P/xtIpQm9+Dxy\naQUdjaISbQjX5D6oSAwdj+MUt2C7RLBvH8HpJxBKmR2G8XHCLz6LRtI6dQqRTKO1RvX0IuImYJCL\ni8j1dYhGUIcOo0MucnMTGjV0LI52JKJaQ4TMeG25XULOzaKTbSaYeuVldChMcN/9BKNH0NncjceJ\n7yEbOFhuN7y3AAAgAElEQVTW+1Cutfjat68wu7rDUFeSX/jCEVLxvd8atKx7XrNp8hjCYYLh/dd/\nB9xqIZcWd99tK3RPL/7AkBlnPT+LMzFOkGtHDQyZaoWODkR52+wqxOKwuETk0gV04KNTKUTLR6xv\noNrN98i1Vdy//ivkzAyEQnhHjyJicUQ4ip9MIKWDyuVwFpcI/93fojs7qf/yP0F3dBJ64Tnk0qLJ\no0i2geugE0l0NIIOhXG2NqFUIhgZITgwgggCxM4O8uplQi99D0Jhmk98HBk1OwZBTy8iGgXlI2dn\nEcVNVFuK4L6jgDZtrUMhdKINBIhaDRGPEfT3I9fXcWemCBIpxHaJ0OULqHQW79Rj6AMj6GTq5r8L\nrc1xR3MHIjfY7fkJCK31bX/SO2l9feemL8B1JdlsgmKxiv+j2bvWbfNRWef/7ZvnOT+5ee3jBw/k\n+dWvPHhHfvZHZY3vNrvO71MQmHyDVsucsV8vj2H3MWJpEVneRvb1kjp5nGLVw19eIXT5omlslMlA\nIoHq7DIJlasrpsphaZHQm+fRzRbEY2jfN82WcjlUdzeiWMI9dxY5NYUUgtbBw4i2OLgh/GQa15X4\nHR04S0s4ly+hc3maX/5ZdH8/oe89h5yfh0gUFXLNzbwtDRHT9MnZ3AA0/oFDqP0HEL5nhm9dvkDo\npZfQsSitk4/jhF20G0LvJj3qZsMM3tqpmEFWw8MIz0durKMjEYjFTS+LZgOVSkM6hVheQTbrqEjU\nTPnc2EB1dREcuQ81NHzjUeJv8X1zRFQpI3NZMgcGKZYbN/077uhIvu8tC7vjYFnvw+zqzk0/tqyP\njLeSGkumB8J13wVrjdjYQC7OI0pb6GQG7+Rp3EzKlFCeOQuBJujdnSnx1nHFwjwAolTCPf8GulY1\n3RAjEWSpaBIFj9wH1R1Cz34HOT6O1IrWwcPIVBIpBX4mhyMFoqMDtbZG+NnvoFMpmn/vF1DDw4S+\n/z3E888iwiGT7xCOoNNpiETQWuBsrILj4o8eRg0OI3zPtMW+8Aahs2fRyTaaT38KR0pkOILq7kbH\nE+bYpHDFtJ3O5/EfHkXWqzhLSyZHIpNFNJuIyo4ZE97ejrO0iC6VQICcncWpVPAHhvAePXHT5ljX\n1OvIjXXwfXQ+T9DZiQjZltOWdU8Y6kpSqmy+62PL+sipVHDWVlCpzA3zGMR2CbmwgNhcBzdE8MBx\ndC5nAoZXz4EMzI1T7lZKhELXdi70zg7h86+jKxVT1hgJIUpFSKUIDh1GtVqEX3gWZ2IM4fm0Dh5C\nptJIBEE2j3AFZPOorSKhF55Dx+I0f+7nUQcOEjrzfdyXvodwQ6hEFB2OorNZiMTQgY+zsgzhKP7R\nB1H9A6ZT43YR57VzuOd+iM5kaX76MzhCIMMRgq5u07GxUsW5chHRaKK6uvGPHEWWS7gLs+h4ApXL\nIWpVnEqZoKcPhcBZnEdLiW55uDOTECjUvgP4h4+YhMebTbfUGlHeRmxumvLU9g6Ixd7+enkbWhUI\nt932X78NHCzrffiFLxz5sRwHy/rIaLVMHoPrEgwOX//GtjsSWqyvIwKfYOSQ6fgYBDiXLiLW11C9\nPdCZRYfbUNG4eWx1B11v4L75BnK7hJaOafpU3kbFE+jRUZTSuC+fJXLlIjQb+AdGoL0D6QUmYJAS\n2vPonW1CL71o8g6+/LOoI0cJ/eBF3B++jHAkKhox/RFyeYiE0Q1zrEA8hv/wI6jePoTnIYpbOOde\nxn39VXRHJ81nPoejNDIWI+jogrY2RLmEc+ENdLCbs9Hfj9zYxJ2ZQLWlUdm8SZ70KwR9A+hmAzk/\nh3ZdqFVxZ2fRkTDBwcMEo4dNcHWzqZZBYI4jdrZRyTRqcOjt38NuEylZLiEyGegbhJ3mbf8zsDkO\n1m1h13nv2TW+M+w6X4dSJqGxXjd5DNHojz+m2TSJj7vlkmpg0HR8dBzk1BTO/Awqb94Vy64OMvv6\nKU3OoTY20U0P58pF5OYWWgfmuKJWM+2V+/tRbojQuZdxL11E12qoffvQ3d2IpkfQ3o4Iueh01uyE\nXL6EkJLWZz5LcOxBQmfPIKYnEY6DkhISbeh83hxNVKs4G2tmcuX9x0wPCK8F5R2cl39A6Px5VG83\n3sOP4miFisZM/kVb2+7QrZm3ezB0dyNWVhDb2+bYJhxGVMoQiRD09SO3txFra2jHRWys466tEqRS\nBAcPoQ8eQqfSN/8dNBrmOKLVQufz5vFv7fRc52tuyLmlv2Ob42BZlmXdVmJrE1ncQnV0mpLJH+X7\nJvFxeckMY+roJHjwYYhEEIsLuONjqFQK1TeASmdMpUS9AuPjsFlGXr5i+iUEuwFDtYoOhwmGhlHx\nOKHXXyN8/g2oVAiGhlC9fchGHZVIIrIhSGdQjSbuuVcQOsB76lP4xx/FPXeW8B/8HkJqVCiMjsfR\nXd2mE+VOCWdhHpXO4D/+JLqjwwyV2tzEOfN9Qpcuovr6aX7pi0hPIaMRgo5OdKLNNG26egXCpgeD\nyuVxVpeRhQIqlUJns4hyGe06BCOHTKXH+BhKSMTaKk6phGpvp/XEkyawSiRuvv5vHUe47o8dR9zs\na3vprgcOo6OjYeB/BX4eaAL/X6FQ+O/v7lVZlmV9xL2Vx5BMXz+PQWvE+jpyeRFRKqLbUniPnqQs\nI3ztT95kbqXMUNLhq491k2rPmHfqzSZyegqhA1hdwB2bJGi20IGPbLRACoL+flQmS+jNNwm//kPY\nLqN6B1DHHkA2qqbqIpuFVBrl+7hvvI7wPLyPfRz/0ZO4r50j/EdfBzS4DqotZQIG14XiFs76GkEu\nj/eJT5rmSq0WYmMd58Xv4V69jBoapvWFL5oKiHAU1dOBamvDWVpEFq5AJIY6cgSVyeHMzeBsrKOz\nWVQ6jdzZQXd0Ehw6jFxawC1cQQcKubKMrNdMG+3jj6L6B65fffKWdxw5qLaUabN9neOIH/vaHXLX\nAwfgXwNPAZ8BUsA3RkdHZwqFwv9zV6/Ksizro6jVMm2ipbxhHoMobiEXFxFbWxAJExx90Gz/7+zw\n279/hvObZmu8uBnw/15p8qtfziMXF0z2/9wc7tI8RF2o1RD1BkJIgu5uVEc77uVLhP/yzxGlIqqr\nh+C+Y8haDaJRVHve9FYIFO7Fi4hmHf/UabxTj+NeeIPIH38DrTVIgU5mTLdGx0FubCBXVwg6u/Ge\n/gw6nzOVDaurOC8+jzsxRnDgIK0v/DTCDyAaQw12oaJRnIV53KuX0W1tqKMPoOJtJmBYMfMuhJTI\n8raZUdHbhzM/h7OxBs0GcmUNrRRqaIhg9PC1ttk31GyaI4dmE537kQZa7zyO+NGv3WF3NXAYHR3N\nAl8Fni4UCq/ufu5fAacAGzhYlmXdKbtDpqhWTR7D9ba9KxWchXkobiICRXDggEl8bLVwzr+O2N5m\n5kdmKs0u7yBnppFLiziz0+hAQ7MB9QCaLVRHB7qrBzk5QWR38qTu6MQ79bgJGCJRc24fb0MDzpUr\nyMoOwSOP0Hr8SdzLFwn/6TdB+WghIZsl6O0F6SBX15Dra6jublqf/Txk0iZgWF7Gff67uNPT+COj\ntL74ZUSrBbE4qrsH5bo4c7OENjdQ6QzBw4+gwyGc6Wkc3zcBgxbIyg7+4D4Imcc7i4uIegW5to52\nXYKRAwSHjpig6iYJj2KnjNjYAMcxRw7v6Ndwt44jbuZu7zh8DCgVCoXvv/WJQqHwv9zF67Esy/rI\nEcWt3RkPHWZb/0c1GibxcXMd6g1Ubx/B0DAIgTNWQKwso/J56OtnaGmb0sz2tW8djvqEfvgDtNKw\ns2Nu3ELAcD8qnUdMzRD6g99Drr814vo0slGHUBg90G5mRUiJMzmO2N5GPfAQ9SeexBkrEP6LP0cH\nLWA3YBgcMnkSKys4m+sEvX20Pvd5SKcRjQYsLRJ67rs4c7P4R47R/OmfQTQbEI6ihvehpYOcniK0\nm4fgn3wMrTXO1CSgUekMslpBNhr4+/YhWi2c+VnwPSiVcLa3UYkE/rEHUG8lPN5oV0Apc+SwXTQT\nL/sHTP4F3BPHETdzt69kPzAzOjr694D/DggDXwP+x0Kh8MEu97Asy7rXVas4q8uoRPL6W9++j1xe\nQqyuIupVdC5PcPRBiESQ83PI2RkzeKm3D93Rgcrm+Gpsja81msxuNRiWdX4xsgnbZahWzRFCLoMa\nHIadIu43vo5YWoZ0Bu/ESZxmE+E6qIEBdLwNJYSpyCgVUYcP0/y5n8eZniby7W+hPc9cbjaHP7gP\nITRybh5ne4ugr5/m57+ETiaRzQbMzhJ+/rvI5WX8+4/R/OmHTSARiRIcOABK4UyMI2o1VGcX/unH\nzZHN+BjCkQRtSRMw+D7+ocM45W2c8TGTH1EqIatVVC6Ld+Ikat8B09fhRppN5OYGolFHZa9zHLG5\ncf2jinvI3Q4c2oBDwH8J/AOgB/i/gSomYfI9SSmQ8sYL6zjyXf+19oZd571n1/jO+Eiss+eZfgxC\noPbtw3nrne5blDLVA8tLUClDPEFw36OIZJLQ6gryjTGIRtC9PehcDt3egVOpIKcnyG9u8C/i0+iI\nQm5vw9o2CInKZWFgAF0qE/qTb8LqMk4sTuuRR3ECH9cNEXR3I6IxhOMgpqcRxS2CkYP4X/kKzvw8\n0b/7d9BsIQCVz6MOHEAqRXh2BlEsoQaHCD75FDqRwK3XEfMzON/9DmJjneDYMfxTJxH1Bm4ijhod\nRbRauIUr4Hnonh7UiZPIyg7u2BV0KIzOpJCVCjISIhh5AGd1BefKJfA95FYRvCa6o4vg1El0/wAy\nGuWGfzU7OyYoEMIcOSQSXOvrWN42w65cF9XR/t6tpW/BXv4d39U+DqOjo/8C+J+AoUKhsLD7uV8F\nfrlQKBy+lefQWmtxD0ZklmVZ9xylYG0NKhXo7f3xG5TWsLUF8/NQLpuWxQcPQkcHFItw6ZJ5TDZr\n/vX0QKsFi4uwugoTExAE5ns3N825fiYDAwNmIubf/i3MzpoSxCNHwPdNdUFnp3mX7jgwN2ee68AB\nePppWFoyP7fZNNff0QGHD5ufOzVlrmv/fjhxwjxvrQYLC/A3f2O+9sgjMDhodjza22F42Lz+q1fN\nax4YMN9fLJoS0VjM9KmoVs0adXeba15fh0bDPA6grw+OHjWPudExglJmPbe2zOvr6HjXcQSbZnAW\nqZS5trtzHPG+b6B3O3D4L4D/s1AoJN7xuZ8C/uSdn7uZzc2Kfq8dh1QqRrlcJwhsM5e9Ytd579k1\nvjM+rOssSkXExga6vR2dyf74A8pl5MI8YnsbtEYNDprEx1oNZ7wA1To6l4FkyrSIBlN9sbaGnJo0\n2/a1KmJ1GSFdVDKN7u1GIQm98CzO+Dg6Fsc/dBBXSKKJKLVMjiCeQEiJWFpGrK+ie/vwPvFJnI0N\n5NXL5mYd+Kj2TtThw8iWh5gYQ5TLqP37UQ8/go7FzHTJhXnc574DOxX8Bx9G9PRCvQ7tOYKBIUSp\nhDMxYco0h4ZQ/YOI9TXk9CQ6loBwyLSMHhpEpzLImWlEaQvqDURlB+046MFBMxK7o/PGCY+tFmJj\nA1GvobNZs95vPbbRMF9rmeMInc7syXHErf4dZ7OJD1wDqLNAdHR0dKRQKEzsfu4+YOZWn0ApjVLv\nHfwEgbJd4O4Au8577ydZYzsW/NZ9aP6WazVzg08kUIP7zA3sna+rXkcuLpjkyFYL1dVtJjEqhXPh\nIqK4hZ9Oo7u7UV09Jr9hdRWxsoSenoFGnaDVxF1aABz8tjR0d6NCIUJnvk+4cBVcl+b99yNlCA34\nXd3Q04Gq1mF5Fb2xhmrvwP+ZryC3SzjfewGaDVTLR3d14B8+iqjXcC5cMI2g9u/Hf/oZdDSKbDTg\n0kUizz6LrtVpPvIIdHQia1WCWAx16AhyfQX58svoaITWgRFUTx9yeQnnzEuoeBwVb0MEAUFPP9p1\ncWam4coYqlZBNBvoaAw9Mmq6PGay5kavMDsK71SpmOMIQOXboXM30VTtBm5vHUfk33EcEWhg797A\n78Xf8V1vOT06OvotIAf8CibH4d8C/0OhUPg/buX7bcvpe4Nd5713O9b4bo4F/6D40Pwte54JGLQ2\n5ZU/msfgecilRfPut1FDpbOo/QfMsKmZaeTaKjoWh2TSTH5sS+5OulxAzEwha1VTwjk3CwpUKolo\n7yBIpnDPvkjo4kW0kHgjBxGhCAJN0NUFqQyOhLb6DrWZOYJUBu+JjyGrVZyxMahXwQ/QnZ34992P\nqNVxxguIag11YAT/oYchHEE06oipCcLfew7dbOEdP4HI5aBRR3d2EfQP4iwvmLkQiTaCoX3ozi6c\nhTnk4jwqFkcIacom9x1ABD5yegq5U0bXakjPM+Ow9+1H7R+5ccKjUohSEVkqmgqQfPvb0yx/pDpC\n5/N37DjiVv+OP6gtp/9z4H8HXgRqwL++1aDBsqz3x44F/wh4q6NjpUzQ1fPjLY2DALm+hlhZRtSq\n6Fic4OgD6Lak2XlYmEeHw+h8HtXVjc7mEKUizqWLyKlJZLmMdgTOzAza91DpLCKXRaWzuK/+kNj5\n19Fa4+87gE6mcJoN/M48pHPm2oobyI0N6MjhffZz6FqD0OuvmSOJVgs6O/GOHUNUarivv4Zotgj2\n7zdtrMMRRL2KOH+J8PdfQGtoPXwckc4gmk10OkNw31Gc+VlCL59BZ7P4Dz6MyuZxpycRZyfRsRg6\nGoN4Am/fPpzyDs6VS4hqxTxHoCCXwzswYnZerjeXA0zgtbmBqFVR6SzB8P63jyNu1sjpQ+CuBw6F\nQmEHU1HxD+7ulVjWh58dC/7hJrZLyI11VC5vblbvpLWZqri0gKhW0W6IYGQU3d6OWF837ZE16HTG\nzKVobzdjoK9cRk5PIre2UKEwYnHetE9O5yCdMrMaLp4n9tofQxDgD+2jnGrn/wofYTqcYzjn8Utt\nq6SLG6ZyIBbD//hTkAjjnr9IUK6A14KuLrwHHkDsVAi98gq0PIKDBwmOPQjhCNRrOOdeIXTmRZR0\naB03VR6i2ULnOwi6u3EmJwidfcn0YDj+KCqVwp2cwLlyBRWPIaJRExT0D+CsrhJ+7VV0vY5oNQFh\n2kWPjqJ6+n58h+Yt1aoJCrRGt7dfy/eAmzdy+jC564GDZVl3jh0L/iFVr5tjiViMYN+BH0vaE+Vt\n5MKCacCERvX1o/r6Edsl3NfPoVseOpFAt3eYmRKeh5yewhkvIDc2CKJRxOoKbqlodiLyHQT5HM74\nOLG//kt0q4E/MAy5HKJW59+0Pcjr5AAoNsP8VjXJfxvM4Z18DOE4uBNjELRgewfR0YX34MOIcpnQ\nD89CyycYOWh2GNwQNOrIl88QPvsDdDhE6+RJRCyB9D2Crh50Lo+cHCc0O4Pq7MQ/dRoVjeKOFXAv\nXiCIxRDxGHT34nd2IRfmCJ09Y5ImA4UIuaj+AdPhsaPDVHb8KK3NcURxCx2NmaOf6xxH6LbkPdes\naS98uF+dZVnvkoqHbU7Dh4nvm4BBKVRf/9s3s7fUaiYnYbuE8HxUezvB4BCi1cS5fAF2qrsBQ6e5\nGQqBXJhHjo8hV5ZRiQSsrxPaWEXl2lH9g+j2duTcDNF//9dQq+EP9KPbO5H1KkG8DT08wsxmyiQP\n7pqO5PAPPoQ7N4OuVMw7/H2DeE98AtbWCf/gJbTSBCMjBMcegpCZY+H88GVCr55FR+J4px+HcBgZ\nBPj9A+hkG+7YGExPoHr78Q8fQbku7tXLuNsldCRurn9gED+TwZmewp0ch2YToRQ6HEHt6yc4OIrO\n5q5/lOB5yK1NRGXnI3cccTM2cLAsy/qg0dokKu5sE3R2/3jiXqtlEh+3tkz/g2QS/7CpqJBTk8hS\nESIRVFeXCRgiEeTaKuLKZZylBXS8DXZ2CF2+hM5mCfqHIJ+DjQ3Cf/wNxHYZ1d9vmijV6+h4BG//\nCEJ5yPIWw16KotN+7XKGdQV5+SKi0UB3deI9ehKaFdwXnkcpjX/wkOlIGXKhsoN75lXc8+fQiRTe\n40+CdBEqwB/e//+z96bBlV7nnd/vnHe5+wbg4mLfuhvobu6UaEmUJct2eRxnmZlKZTKVqlTG+6Ty\nxbFH5S+pzNRM5UvGlcw4kw8eyx4pcWYytuNVtixZlESRFElx6X1DrwAaO3D3/d73nJMPB93oblIS\nRbHZYPf7+9IE0MB9cRrE+7zP///8H4hEcC5fgl4PPT6BefoZu8Pi/FncWh0Tj1mj5/QMxvdxrlzG\nO3vGxkILrFFyagp9eB6T/B5SXatliwKtb3s9bvGoyBHfj7BwCAkJCfkIIWpVu7jpVlzxnSiF3NxA\n7Gzbm3Q0ij56FJNIIldXkDs7GMfF5AbQ4+P7kxJvv4mzvIRJJKDdxb1wHpPJoKamIJOFZgPvL/4C\nUSmhR0fR03PQ6yA8HzU3B4HBqZYR9QZGKX5lpskXGmmWWoIZXeO/b5yDfIbeT/8McmsL7+UXIR7F\nzC/QP/q4LRjqddxX3sI9dRKTzdD79GcRSIQUBPPzdi/GpYsIIVATU5iJCUyvh3fmJKLeQMWT6OFh\n1PQMQim7Q6NSBq0w0rG7LGZm0TNz774oyhjrESkVMZGoLRZurb5WClEu7++VeATkiO/Ho/udh4Qc\nYN4tb2Eg/T3c3SGPBp2OjYCORt/pY7jVgdhYs5snhYOancPkBpDbW8hrV+3TczyBnpiwkxLVCs7r\nr+Jeu4KOxtB9hffGdzEpu3DJJJPoQOF//WuInU1MfgT9xJO2gxHxUfPzEChkpYpot6EfoMdH0bkh\n0pvrfL6+ak2UwwX6P/mz6K0t/G99C+1I9NGj8Pwn0M0elCq4b76Oe+4sZnCI3uc+hwwCpHQJ5hdA\nBbgXL2A8Hz09i56cQjQbuG99F5otTNreyNXklI2L3iskjJAgBTo/jD6ygB4bf6eUAxAE1jTaqKHT\nWdT07L7P4RGWI74fYeEQEnIA+eJfX7ydt1BpFPniX1/kn/w3zzzgqwp5IOx1EQgCe/O79RS8h6iU\nkWtr0GoiEOjhEfToGKJUwj1/BtPtQyyKHh3HDA1Z78CJt3AuXgDPQwuJe/Jt252YmMTEImjHxX/p\n28j1NdTgEOaxJ6DXB8dFPXYEkPZ1ez3odtEjI+hMBrmzi7x0Cdlto4cLdH/yp3E2N4m8+CLacwiO\nLhAcfxwv4kG9jvPVb+BeOIfOF+j9xF7BIATBk08jGnXcc2estDBvJx1EpYz3nZeg08FkMujD8+jR\nMWRxZ9/w6LkY17M5EPNHMYXCuxseWy0b1hQEmMFBmzFx60xDOeL7EhYOISEHkDBvIeT2+GStgh4u\nvFOPbzRw1vYmJbRCZ3OoySlEq4WzF9VsXA8zOWnb7kGAPH8O99xZq/V7Lt75M2jAjE9gPBcVi+O9\n+h38lRvobI7g8ScQfQWOhzp2BKSDrJahrxD9LjqXQ0/NIIu7yOs3bIchn6f73M/gbKwR+fY3UJ6/\nVzA8hvB8RKmI88J3YPkGDAzT+4mfQvZ7CNen//jTyGIR79QJVCaLevxJ9HABubON9+I3oN/DDAyi\nDx3GDA4hVm/ivfKiLY58D5NIYkZHrOFxcOid3QFjELWqTXD0fXR+eD+n4d4114+4HPH9CE8lJOQA\nEuYtPNqIeg25vYXODlhZ4s4bYLeLXF+zSYX9vt1cOT1tI6JvXING0yYiDxdsh0II5I3ruCfeQvT7\ntjg4exr6AcHoCMJ10bEY7skTeIuL6FwWdfQx0ArhOPb1Iz6yXMYoBb0+Jp1AZceRtSpieQnZqKML\nBbo/9dM466v4L30D7fkERx8jOHYc4XnI3V3cl19C3lyC8Qn4mZ+BYhURjdB/8inkxgb+ybdQAwME\nTz6Nzg8jN9ZwX/gaQinbSZm0Eoq8dg3v7GmMBhPxIZNBTU6iDx/BpDPvPNAgsEVBvYpOZWyw07vJ\nEblcKEe8B8LCISTkABLmLXz0+ED2gHS71sfg+3b0784W+97opdjdRfQ7GD+KPnQEE4kg11eR9bqV\nM3IDqIlJiEaRa6u4b7yOaNRRmSzu9St4tQZqdBThOJh0GnnmFJEL59GpDMHCMXvPlLZgELEosljE\nNACl7Ajj8DCy2USurSDqTSgM0/3cT+Gs3cT/1jfR0Shq4Tjq6DEbX729g/vKi8i1NfTEJP3Pfg63\n14N4nODQAiyt4J94A5Uv0H/249aXcXMJ7yt/iXE8zNgYamIS47q4ixcR29sYR6K9CCTiqJk59Ozc\nu8sJ7baVI/p9K0fk94sCUa/ZzoOUoRzxQ/LAd1X8qIS7Kg4G4Tnff97PGYdLrX543u/P8o+0B0Qp\n5NamHTHcG4+8jdY2QnprA3pdcDy7cCqTtYVEtWqTF+MJ9PS0nZTY2sJ94zXk7g5qcAhn8RJuqURQ\nGAVH2oJh8ZL1EMTjVsoQDngSPTWDSWWQO1sYx0EECiNA5waQ3Q406ohGA4aG6H3iedy1m8irV9HR\nKGZ2DjV/1G6Z3NrAfeklnM1N1NQ0enoK2WqjCiNw5BC57XUaK+v0C6PoiUl0Oo1z7SruxfOYSPT2\n5AT9Ps7FC4hSCROJIHwPnUqjDx+xcsK9hsd75YjBof0pinvliIHB750Q+RHnYd9VERIScp94N5Nl\nGAB1f3hfvhRj7I2sUrI+hlT6rg+LcskaHztthJTofAE9lEeWSzhXLtvNjb5vW/QDg4hKGferX8FZ\nW0UN5TG1Gt6lS+iRAmp8AhNPIJaX8F/4mr05z81hpINwJHpiCtJZRHEH+jt2hLEfoDNphNY4uzvQ\nqMHwCL3P/CTu2k38F7+FjsdQR22HQbguYm0N9zsv4exso6Zm6H/6M8hOG5MdoPf4FO7Vy7gnTsDx\nedQnpwmicZwLF4hcWcQkkwRHj2PGxqFcuT05QSyOyaTt7okjC3bd972GR6WsJ+SWHDE1ve9R6Hbt\nXolOe3+MNZQj3jdh4RAS8hATmiw/PH5YX4po1K2PIZ19x41MNOo2IrrZBMCkM6jRMWSzgbx+DdFu\ngWjDL18AACAASURBVJR242M+byclvvUC7tUrqMFhm2/w2ivogUHM2AQmFsXsbBF54W8xrkMwNY1w\nXZASMzGJzuaQxR1MeRftushuF51MIEwEWa1BvQLDI/Q/+zmctVX8l19ExxOoY8dRCwvW9Liygvfq\nS8hiETUzR+/IAk67hRnK0xsdxb18Cff8afT4JGpyAkYGES9+h+jVK6jcAMEzz6DzI8jtTbyXv43p\n2xhssllMfgh1ZC8S+t4bfqdjPQq93veXIwaHYGz8A/rXfrQJC4eQkIeY0GT54fGefSndrh2vdN27\nMwPA3gTX15C1qjUiRmPo8XHoBzirK9BqWaPg6JiVNJTC+e5ruOfOoHIDGCFw33gVk06jxicQvo8u\nl4l8+5sYKVDj4xgvgpACMzaGHhyyN91SCR2JIut1G0EdTyCbbUS1jCmM0H/+P8dZX8N76VvoZNIW\nDEfmEZ6HWF7Ge+UlRK2GmpslOHIUp9uB0VF6uUHcyxdxyyX01DRmdBQjJd6pt+GbW4j0IP0f+xQm\nl0OuLOF/6+sYHHQiBskUenwcfWQek8m+4xhvyxGuaz0Kd8oRxeK+HDE+8dDKEQ+K0OMQ8oEQnvP9\nJ/Q4fDjct59lpZDbW9Dp2Jv+neua+/3bxke0svkKo+PgOvZz2m1Eu23DjKamQUqcs6dxT7yFTiSh\n18W5cNGmMWayCOGgux38N161csPIKCYaAaT1RwwPI3eLGCEw0Zhd0BSJQCSCaLUQ1Somn6f/7MeQ\nG5s4S9fRiSRmagp9+Ah4Ply7gv/6d6DZQh06gsllkb0e6vACOh7HvXoZE/FRUzOQH8YYg/f6a4jt\nTcTMNKlnnqTa1ejLl3FurqD9CMQSEPXRU9O2C/MuK8FvLZTSyTRmcPB7yhEmm3uk5Yj76XEIC4eQ\nD4RH7ZwfxA35UTvjB8X9OGdRKiLLJbuu+s5xQa2RO9uIrU3o98F1MUN5O3K4s41pd5CNBjqTQc/M\nQjSKuLKI/8rLmIgtPJyLFzC+h05nkFKglCLy3dcRnQ5qeBgTjYEj0cPDmMKo3V9hjI2hrpTAcTHR\nKLLbhlodkx8iePIZxMYmzuoyOpmEiQnUIVswiCuX8F5/HTpd1OHD1mipFMH8UXAdnGtX7ZP+xITd\ntNlq473xKqJcQc/NoWYP4UjIrt6gcX2FIBZDxGLoeBI9N4eenH5HyNW9CY4mk92XIxp1W3DdkiPu\nLTYeUUJzZEjIASM0HYa8JxoNnO1NdCpzt4/hlilyfQ16PVswDAzayYWyfb+o1SASQT3+uJ2UWF7C\ne+lbiEChEgm8S5cwWqEGB5FSYIzAefN1vFodNTyCKQzv3UzzqJFRu0uitAOpLJRKOOUiJpVEdLqw\ns4UZyhP81CcQm5u4b72JjsXRx46jZufAjyAvXsB989ba60OQTIE2Ns5ZK9yVGzZ34vjj6HweKlW8\nv/0bRLuNOjKP/vgnoNXCPfk2stmA0TxmOA/xJMGRBduFuSdw6XuOTIZyxAMlLBxCQt4Hoekw5PvS\n61kfg5S2VX/HDVHUa9b42GnbQiKVQuXzyHodubmBrNcwBtTheczAAGJ7G/+vv4ysNwhSKbzlRWSv\ni8oNIAHtSry338Ytl9H5YdRkziZGDgwQjE7g1Ms4pSLkBhClImJ7005v9HuIrW1MPk/wuZ+2I5xv\nvYlOJNFHj6KmZ8DzkRfO2/AorQjmDkMsanMejh1HtFu4166ghgsEjz+FHhhE7Gzj//VfglZ2QmJ0\nHIpFvNdewXR7mEwGCgUYH0WNz9DPDd29d+Pekck7i4JwOuJAEBYOISHvg3tNh412n9/+49Ohh+BR\nR+vbngQ9Mnr3FsZWy3YSGg0wBiJRdH4Y0e8ht7ag3UR2uqiZWUxhBGpVvD/7/5A726hsDqe4i7t0\nA53JQjyOli7e2VO421uooUHEhI2NJjdAMDKGbDVwijuYfB65s4O4uYLJpEHGELu7tmD4iZ9E7O7g\nnjiBScbRR48SzMwiPB957gzeibdASoLpWUwshvB9goWjyGoV5+plVGGU4JmPobM5xM1l/JdfxPgR\n+o8/AQNDyPU13Bf3jJmZLCLrW/ni+FGYm8SUm3Crjd7rIXd33rUoeIccEU5HPFBCj0PIB8Kjds63\nPA7nl0oEav9H8IcK/fkhedTO+EHxfs9ZlEvIUhE9lL97CqDXQ26sI8plwIDj2la+AVmvQqeDqDfs\nBMHEJPR6eC9+E+fGNTv1sL4KxTImnQIEJh7DPXcWub6ByuUQsTgm4kImhxoZRXba0O2iCgWcUglR\nKWEyOXuNtRpmcNAmRJZ2keubkIxhJqcJJqcRUuKcO4179gxGujbK2vMgmSQ4vIDc3UZWSqixcSiM\nopMp5NXLeGdOo1Np1LHjkEohlm7grCxholFMKgOei56YQh06DMnkXWesKlVbFAhh5YhbHoU7Ow+J\npC0YQjniPRN6HEJCDhjpuM+v/YOn+I3/8xUqjd7t94eSxSNIs4mztYFOpu9une9NUYjtLTAapIvJ\n5WxEdLWCCQJkqYgazKOeOw6A+/KLuOfPowYGMP0A5/w5O+2QSmGiUZzLV3BXVwgyGfTYKPi+Hb0c\nGUP2ejjVCsHIKE6phHv1CiadxmQyiFoVMzBE8MlPISoVnPNnEckk+ugCanIaAO/MSZyLF+yOiblD\n4HqQydCfmcPd2sC9dhk9MUUwdwgTT+BcOEvk0kXUUJ7+p57H+D7O1Ss4G+uodBYzXEBHoujZOWvs\nvCcNk91d5NIaOhK7S46oVZp88a/OsVzsMJ1P8At/7wnSiXvMkiEPlLBwCAn5EQhzEh5h+n27V0JK\ne/O99TR8a6vl+hrowBYM6QwmmUDWatBqI0pFSMTpP/NxiEZx3vwu3ltvoNJptBC4ixdtUZBI2HyF\n69eJrNwgyGRRwwWI+DYUamQE0Q/2CoYRnDq4ixf3CoYcolmnmhnmdwofZ7ktmTlf51eTDVILxwgm\npzBG4Z58G/fSJVQ0SnDoMEJKGBiiPzmFu76Ku3wDMzGJOvYYxvNwTp7AXb6BGh2n/5nPYZTCvXwJ\nWS6jBnK2G5FIEBw6Yjsodxoeez27SbPXgdkJW1TsPQzfkiO++NIWp9dbAFRWanzxK5dC4/EBIywc\nQkJ+BMJlVI8geyOUNJvWx3DHciRRrdiI6G4HHBfiSXQmi2g2ELW9CQEhUY89hklncM6cxvvOS2gv\ngnZcvGvX0NJB+xFMLIZcWyVy4yoqlkDlC3b3QjaDyQ9b1aNWIxgZA8/DXbxksw1yg8hWE52No458\njH97M86ppvXdlMnxbyND/I/jcdw3v4tz9Qo6niA4fBjhOJAfpj86hrt2E3dtFT0xgRkcwmBw334b\nZ3sTNT5B/7M/CfUG7qm3Me0ODA2hxsYx2Qzq8AJmZORuw2OjYZdNAXpwCJ2dgFwCivX96Yh4Aj0+\nwXJt7a7jDrt4B4+wcAgJeZ+E4UqPHqJSRhZ30YND1sB4i2bTGh+bTXCkTXzM5RCdjn2SrlYRnbad\nlMjnkdeu4P/H/4DBoD0fZ2MdoxTKcyASR2xu4L/9JioWQQ0MYTwfk8lihgZBuMhGnWBsHBOJ4F46\nbychBgaR7TbaT6AOPQndHs7yDZb6dz+tLxc7RP7oLzCJBOrIIQQOZmycYCiPu76Ks7VFMDsHuQFM\np4P3+iuIah09NU3v+c8gi7u4330Vg0QNDCAGBjFDQ6gjC5iBwX2pRmt7XpUyJha345a3FlL1erBa\nRm4WUensXavDwy7ewScsHEJC3idhlsMjRKuF3NzAJJL2JnfrabrbtQVDtYqRAuN5kE5buaLZtGud\nyyU7KTE+AetrRL70+5hOGxOJ4GxsoPuB/VrJBOzu4p08gfZ8VG7AJkjmcpi9/5aNBqpQQMWiuBcv\nYiIR9NAwotPG+D5q7hD0AuTqTUw0hpqfZ3ojQrm4b46bUTXU7BzC86gUJvm99TjLFwKmE3V+8blD\npEcGoVrD/fa3EL2eXVt97Ank2ireq69golHUUAHhu5jRMYLD85C64+be79uRyWbD5jrMzN0+r1ty\nhPQcODKDTuQw9xj3wi7ewScsHEJC3idhlsMjwF4UNGBXON/yMeytwRY72yAAz7WBSI4DnQ5Gadzt\nDdTIGMGnPg3lMpE//PeInR10MomoVpHdLkJrSCYxlRLua2fQnoNOZW3BMJDFpLMQjSKbTVQmi0ol\ncS5dwngeenAQ0e2C56CnFjDG4KyvYWIx1OEjmEIB3e3yj6+d4Qu9PDe8LDNej1/NVNFTc5h4gt8/\n2eJUSwOScg1+/3Sd37zwNgaBnpmzCZYry/iLF1HZDGZ8HO35mKlpa6C8Mza72bTpjsZghoasjAN3\nhzXtyRE6FrHTE73mO478lvE45OASFg4HnLAdfnAJW6oPMcYgtrdwKlVUYXR/RNAYxM4OcmvDTga4\nnh059CPIXgej+jibG+hslv4nnodOB+/Lf4azsoJKpJC9Ls5qGYIAk0hhmg3ct94ADTqVskXAYB5S\naUzER7Zb1oOQyeCeP49xHXRuAKGU9TtMTmGkxNnawsSiBEfmYSiP6XRwv/MK7tYmfjrDb+QFwm+g\np6Yw7jRyt4j2o9zQMWD/iX+l3CX41DzCdZE3biCqJXRuCDU1BdEowewhuyvjTiNopYwslzDRmC0W\nbk1P7BkhRbuFzubukiNCPtqEhcMBJ2yHH1zClurDiahWYGcNvJgdr7z1/krZGh97PXtzjLiYWBTR\n62FUgNjZBdeh//Sz4Lq4L3wd9/JFVDKJUQpncx3R7UA8hg407ok3QYKOJxES9PAwJJKYSBTZ6WLi\nMYKBQbwL5xDCYHJZMEAkgh4uoB0Xd3sLHY0QHD4Cg4PQ7uB85xXE7jakU+jJaUQ8Zm/2RiMrVUyh\ngHriKXQkyszidU519m/m02kH99oVaHfsQq3JaUQiQXB4ATM2ti/R9PvIUhHRqKMzuXeVI27nMoyO\nfZj/fCEfAmHhcMAJ2+EHl7Cl+pDRbltZIpWEhcOYatumGjYaOGur0G5hPN8uZIrFkUEPY0BUqjjd\nDurYcUwyhfvaK3ZrpR/BAM7mlvUgRGNo18U9ewahDDoaRQoXkx/CJFOYaATR70M0RpAfxrtwDtnr\nowdygLBpkQNDaD+Cu7sFfozgyALkctCo4776CmK3iEmlMBPTEI+jpiYQ/QBZraJGx1CTM7ZDceMa\n7vo6v5JL8wUxyFLDMEuTXzVb6MwA5H1MNmclj/zwfqeg1bJyhNaYwUH0LYPou8gRYVjTw0tYOBxw\nwnZ4SMh9JghswaA1enwCGY/ap+dOB3lzFVmroqUD0RhEIhit7X201cYpraIWjmKG8siTbxN59RWM\n42AcF1GtIVp1cH10JIp76QKm20HHEkgf9HABlUxg/Cii30PEYqiRUdzzF5Ddto2WTnsQi6OzWRu6\ntLMBfoz+kQVEKo2o13BeftEGPKVS6KlJSCQJJiaQ7TZOo2kLhkNHMCrAubyIKBcxmRzBzBzpep3f\nLF9E51z0UAHhjaLzBfT8/P4Wzz05QpRKtttRGLlLjmisbfLvXlplqRowPZrhF/6zKdJh0fBQE0ZO\nH3A+Kh6Hj/o5fxQIz/gDxhjr8K/f7WNw0eTaVWrXVggM4HkY17NP3a6L6XVx19YIpmcwk1PIS5fw\nX3wBozS4DqLRwNQbCAkm4uMuXoZWC52IIxHo4QImHsdEItarkEig8sO4F85BvW4lCT+KiMdR6Qwm\nkcTZ3UJ7UdT0JCKeRFTLOOcvIBp1TCpt46jTGYKxMWSzhcCgxichnca02zjXriKaDUwuh47FcIpF\nxPYWOp21r+d6mPEJGwl9K5ciCGwXoVGzf29gwJo/uVuO+FevlTi9VLl9rO8ldj38Wb7/hJHTjzBh\nOzzkYeKgFMKiVkXubO8vUwLbbt/ZQe5uQipmo56NwDgOSImREnf5Bjo/TP/HP4tcuoH/e7+LaDUw\nng+9HmK3iggCTDKJe+UKplVDRxK2izGYR6VSGM9DGI2MRgjywziLi3jXrqLTWesHiERtjHQ6hbO1\nhVaa/qF5RDyOLJZwTp60o47JNGZ8HJPJoYcLiFYTp9elPDLB713osXytzoyzy68OlkgNpNHJBHJr\nE3e5hhkYsDHQvm/TG6dn96WFdtvKEUGAGRxEFQr75/MucsTyl1fvOttQTn34CQuHkJCQD40Hbvbt\ndGxMdCx2Vx6DKBWR6+ugFMRjdsxQ9cCA8SO4K0voaJz+c59Elor4f/AlZHEXE4lhALG7jeh20ak0\nzo3ryKuL6EgU4Ucx+SFUOg2Og0HagmF0HGfxIv7Va6hUCj02BpEYJpVEpzI4O1sIrQmOHLHdh3IJ\n7+QJ67NIJNBjE9ZjMDCEbDfBKPTsLCYa5fe/vcXpkn3CPIXP7zpDfL67jOx2UPk8DA4holGCQ/OY\n8XHbRTAGUa3YZEvfR+eH90ct752OuMMICaGc+igSFg4hISEfGg/M7BsEyK1NCAL02PhtjV7Ua3ZS\nYs+8KDwPnD1JIu7CzVWcfp/+409Bt4v/53+CvLmCjscxjoMo7SJaTbslcn0D7+pldCSGiETQ+Twm\nmUFKgXZcRMRHj4wjlq4ReflFgmQGNTGB8aOQTKDSaZzdHYSp2rFK17Mrr6+/De0OJJOo0XEYHEBn\nB5DdNsYRVl5wHBsedWWR5doQsH9jX24YzFgOE41COm3TK4cLVnoJAsT2NrJeRacy6OmZ23LEvTHR\n32s6IpwuevQ4EIXDwsLC3wf+FDtsJPb+/JPFxcX/+oFeWEhIyAfKh/l0elsW2agyk3H5+f/0GOlx\nu16adhu5voas19G+D7E4AkCASaag1cRZXiOYP47xXPxv/C3O5UV0LIpxXWSlhKjV0akMsl63UkMs\njvYimIEBVG4AgbGLqjwHNTqJe3MZ/9WXUbEYweQ0OhJDpuKobA5nawtZq6GOzIMAsbOLu7SE6XQw\nyb245nwenUwje3ujmhMTCGNgdwenWMK4HsqPMuP1KAf7wUzTKYmemEQfmcdk7/j+i7vQ61k5Ir+3\n1fNeOeLOmOjvQSinPnociMIBOA78JfAr2MIBoPPgLickJOR+8GE+nX7xL89yeqkKwKlWwBdfXOHX\n/n4SubGOKJfBczHxGGhjxwuzWajXcC5dgo89STAwgvPtb+OePY3xfTteWW/iViqoVArZauJdvYKJ\nxjGeh0ll0IMDSK1skqTjosfHcbY2ibz6EjoSQY1PoGMxu9I6m0NsbyHLFdT8AiiN2NzAXVvF9Hro\naBTGxqzUkYjj9BUmkyLITCFUgNhcx6k3ML6LdiSiWsZt1PnlVJovOOMsdx2mcz4//3efRQ1l3ylH\nDA5BLGYP6wfIESEhd3JQCodjwLnFxcWdB30hISEh948P5em020VurLO8dXec8fJGFefieWt0jMcQ\ngcIEyk4eBAp38SJqbJzgE5+EC6fwv/UyShuIRBCtFrJcQscSmF4X7+w1jO+DH0Wn0+jREWSvZycw\nZMQWDMVd/Ne+g5YuamISE43b8KfcIM7Ols1WWDgK/QCxehN3fR3TD9BRH0bH0UPDmIiHAERuCJVM\nIrpd5MYaomUzJYxSiM0istvB5HKomVlSns+vT03avRW+D0rdLUdMTe+vun6PckRIyJ0clMLhOPD1\nB30RISEhH2H29kfQ66FHx5geq1G5ti+LzCQFxOKgAkSvj4nH0dGo9SWks/Sf+yTu2dP4X/kr8CXa\nc23BsLuN8SKYfoBz45xdl+046GQKPTqK0+0iMJhYHDM6DrUK/ndfRxtBMDEOsSTEY6jcAM7uNk6l\nhFo4ZsOUlq8jN7eh17f7G4bH0AND9sbuupiREUwkCp02cn0d0+2C62CaLWRtHWMMZnAIPT6O8H2C\nuSOYqanbOzPk6s13lyNKxXffWhkS8h44KIXDAvCfLCws/E+AA/wx8E8XFxf7D/ayQkJC4OCMUb4r\nxiBKJWSlhC6MWI8C8IufHeeLjQZLlR7TuQi/+Ewauh2b4JhN4S7fQAL9p55FLl0n+vu/C60GOh63\nRcjmrl17rTXO5QsgJMJx0ckEwcQETqdjEyATCfTwCKLTwn37DUwQEIyNIVJpu147m0Xu7uLUqqj5\no3Zs8tplKxn0+3bsc3IcPZC3xsxIdH9BVLuNLJYwKsAYjVMpQ62KcF2C4RFEPA6JuF1pPTIKQiBq\nVfu1Xdd2EW7lMoRyRMgHxAMvHBYWFqaAGNAG/gEwC/wbIAr8+g/6fCkFUn7v/ArHkXf9GXJ/CM/5\n/vMgz/hLf3PprjHKL/3NJX7jHz79oV/HO6jXkdtbmEwGMz+PI4R9kl9bZbDR4POfGbI3x3bL7pYY\nHEKsriK3Nwkefxy5s03s//1/bJpiLAauh1PcBVciTICztITWBuE4EI8TTE7jttuAglQSkS9glMI7\nfRLR66LGxxGZHE48isrkbIeh1UA9/hiiVsO9dgVZKmH6fUQshhkdg4EBEAKZSGAKI4ggQHbaiHYL\ntMIEPeTOFrRaiHgCPTsLkQhOLmfNlINDOEohSkW73juVxszOgOva2Yp75YjJCZwH9y8GhL8vPgzu\n5xkfiOTIhYWF7OLiYuWOt/9L4A+A5OLi4ve9QGOMEeHGtZCQ+8o/+udfo1Tb9ysPpKP8X//sZx/c\nBXW7sL5uW/pjY7Y13+vB2hoUizaDwPeh2bQfGxmBnR378WPHoN+Hr34VVlftE3m/T7XR5bfVIa7J\nNIeaW/zazW+QEYH9WnNz0GjYkKRoFIaH7WufPGnfPzVll0zF45DJ2NeKRODwYahU4OZNqNXs6/gJ\nfts5xrV+lEMJza897pOZHLHfU6sFnY6VFGo12Ny015rJ2Nf0PBgdtd9DMmk/Z3vb/jk4CNnsbTmC\nchlKJXtN+XwoR4R8L37oG+iBKBzuZWFh4RhwDhheXFwsfr+/Wyw2zA/qOKTTMWq1NkqF0ab3i/Cc\n7z8P8oz/9z88xakru7fffvrI0IPpOCiF2NpCdDtWm49Gb79P7mxhpO0M0GwCBlMYRbSayOvX0TMz\nmEgU95svIFaWIRIF1bcZCc06/zLxY5zwCrdf6mONFT4vF3E6HYwrMbEEZnAAInHkmZOIShk1MQ35\nPCIeQyXTyOIORKOouUPI3R3Exjqi0YB+YGWL4QK/1ZzgZGt/XPKZQck/OWYQewWD2C0iNzfBEeiB\nQUxuEOF7dqTy0GH7PddqyFIRpLQbKO+QI8SulSNMLmfHLw+gHBH+vrj/vNczzuUSH73I6YWFhb8D\n/AdgYnFx8dYjzTNA8QcVDQBaG7T+wcWPUjrMRP8QCM/5/vMgzvjnf+4oX9T7Hoef/7mjH/o1iFIR\nWS6hhguY4RHrbdjYQm5uYNCoRArRakGpjMkPox0H9+xZVH4YM38M9+UXca9dRbkeUkio1+xNHYPc\n3OTG4cRdr3c9nofKaYJEApMdQCcTuGdPI3d2UVPTMDNn/RKpNLK4DRr688eRO5vIkyeh0YSgh4on\nMBPjkIhj/AhLlchdr7NUU+hmB7G1g9zewLge/ZExTCaN8Dz07CHU9AxIab0c1WVMMkVQGNuPia7U\n7pYjhm9trcR2Hw4o4e+L+8/9OOMHXjgArwIt4PcWFhb+BXAI+JfA//pAryokJOQ2DzTkp9HA2d5E\npzJ2r4QQiGrFJj72ephUCvp9Oy45MIhOFnAvX0ZGfIL5o7hvvYH7V3+BERItJKLTQjSaYDRyZwdT\nq2GEZLazS9lP3n7ZWdPEFMZQuRzuuTO4Wxuo8QnUx57DxKKoVAZ3dxsHQ3/hOM72Ju7JtzDdjjU9\nJlOYoQlMLArxBHpP3pgudiiX97+9GdHEPXWWSizN7/pPs9zzma4KfuHjc6Tmpmzq5bZdzX17t0Y4\nHRHyADkQUsWeNPGvgU8CdeB3FhcX/5f38rkP+3bMjwrhOd9/Hrkz7vXsXgnXtaucXReaTeT6GqLV\nxMRth0BWK+h0Bj2Ux71xDTodgpkZ3LNncc+eseFOWiNUD1odRK+HqJQQ5TLadZCeh5qaptET/E7q\naW74OQ57XX5psErmwmnk6k302BhmcgoTjaLiSZxSERGL0p+axt3YQGxtQreL6PfQqTTmVrhSMonK\nFxBSIHo9tIFGq8sXrkuWm4YZXedXMzskR4f53zbSnKrt2xafmsnw65+0xkk9lL+9vZN+305HtJro\nTA6TO5hyxPfjkftZfgA89NsxFxcXLwIP0GkVcosDPXYX8migNXJ7C9ptO5YYi9lQp5sriGoVohEr\nD5RKEIuiDh1Grq/jnT1FMHsI5/o1on/0HzG9LibQCKMRrTai10XUq8jtbZu0GItgJqYwBkSzRTKV\n4vORJcxEj/S1y3TevEwwMoL6xCdtwZBI4hSLuMbQP3oUd20N7+RJ6HUQ3T5kMzYG2vNtGFM+j1TK\nRkS7EnpdZKNJbukGv9lqYQp5VGEM3Cn0cIGl1TawP4G+vN1Ejz+5L0fcOx1xa2QzJORD5kAUDiEH\nhwe+vTDkkUaUS8hSEZ0ftrkEQYBcW0Xs7thUxmwWUSritNuouTlEpYJ7+iRqbBIdjeH/+Z9iWg3Q\nBqEUJugjWi1EvYGztYmSAqJR9OQkBge5t6BKFEYIxibwrl7C+/JbMDNF8Onn0ZEYKhrDKRdxBfTn\n53FvruK9+Sb0e4h+H5MbIBjPIaMRGBwiyA0iOx1kzxYBpt9H7FZxblxHBAF6dAx95AjG9zGj46jD\nR8BxmL54kkpzv3CYHs2A44RyRMiBIywcQu7igW0vDHm0aTZxtjbQybTV8I2xMclbG7ZVn8khaxXk\nzjZqehaCPs6Z09YEmUjhff2rUKshtEaqPlqDbNSRe19XGeyNenICJT1kq4FOJaFQIBifxlm6TvQr\nf4nOD9P/8Z8gOpjGKAG7RVyl6B9ZwL25jPfWW7aYCXrowSGCVNoWDMMjBJkMotlEBH1wHZu7UNzF\nWbqBEQI1MQVDA+D56OlZ1OycTXfc3gLgF352ni++uGK7fcNJfum5AZyl6+hMGNYUcrAIC4eQ/DbU\ngAAAIABJREFUu/gwtxeGhNDvWx+DlKipGXBd23XY2LAGw0wGWi2czXX0+AQqFse9dMFubsxkcF9+\nCVEpIQPbXTBSIhpNZKOOs72FMcpurBwbIfCjyHodk3JtwTEzi1hZIvqVL6Nzg/Q/9WlIJBDRKDQa\nCC0JDs3hrq3iv/0Gut9DBho1lCdIJiEWxYyNo2IJaDVBafA8RL2O2N3GWVkGz0fNzmGyOUQ0YiOh\nx8cRtSrOytJdXYQ08Gs/51k5whjMUBaVDP//Czl4hIVDyF18mNsLQx5htEbubEOzaX0M8TiiUbeT\nEp02JpUGz0Our6GHCwRHj+NeWUQGATqVxH3rbURpB9HpIfo9jO/ZpMVGw6YsdnuYSBQzOoGORpD1\nBsb1Mfk8avYQYn0N/8t/jhnI0v/0ZzDxKMb1kdUyQis4tgAXFnFPnMAEATIIYHgYFUtgknHU2ATC\n8xDdLkoKpO8jKyXYWMdZX8ckkgRHjyOSaUjGUfMLmOwAslRErizd3UUwJpQjQj5SHIipih+FcKri\nYBCe8/3nYTljUSkji7vowSEbUNTpIDfWkbUaOhrF+D7Oxjo6k0VPTuHcuIGsllDJNO65M3aEstVC\ndtvoWBTZbEHNRk+Lbhsdi8PwMDqWwKlWUPE4IpFCzc4htrfwTryJSaboP/EUpFIYx7E7IPwI/bFx\nIqvLJNoNmrUmaE2QLyAiEUwqhR6fsHkK/T46lUa0W9ZwuXoTublll0lNz9j46twAwZEF8H3k7s5e\nF2Ho9i6Nh2E64v3ysPwsH2Qe+qmKkJCQR4BWy4Y1JZKo2UN2kdTNFUSpBL6HzmYQm1tI3yV47Amc\nrQ28E2+hEklYXcPfegvdbCJabUw8AkYgN7eRO9uIZhMdi2EmptHJpH36d1z0UB49NwelEv7f/BUm\nmaD3yechnQbpIKsV8H36UzO4K8t4J9+GoA8xH5MfQnsRyGSsP0Epe2OPx6FeRa7fxLl5E7Gzix4Z\nIXjuE5iIjymMoA4dQfR7OOWiDYkaGbUR1GBHSu8oJHQ4HRHyESMsHEJCQu4v/T5ycwMAPWlXPsud\nbcT2ljU+5gaQO9vIWhV1ZAGaTdyTb2Nicdjewls/Aa0mstGAWBzjusjtbcTOLrJWx8Si6MmJ/RHN\nlnPbw2Bqdfyv/Q1EovQ+9Txk0iBdZKVEzY3zO87jLNcFs+Uq/7hRJOME6EIBMklMIoMqjMCt6Yhk\n0sY8b27irK4galX02ATB888j/Ah6chI1MWX9FVsboRwR8tASFg4hISH3h73JCNFs3M5jEOUScn3d\nbn3M5RDlCu7KEsEhO5LonD+HcaQduVw9bZ/OK2VMIo72o3YD5NYWslqFWGyvYEghKxWo1zGDQ5i5\nQ6hOC//rfwuug/qxT6KzWRDSdiI8n2B8kn97w+eUsV2Aspvndwae4/PxFcToGMxOQKlmuxapGM7O\nJuLmCs7qKqLdIpiahscesyuwZw+h88PWv7CzjRkctIFVYIum7a3bckQ4HRHyMBAWDiEhIR84olpB\n7u7YCOjCIUS9hly8uBcRnbapkDduoKdn6E9N4S5ewnS7iGIRZ20V02oii7uYaAwTj0O1htzeQpaL\n4EXQE+OYVAZRr0KjgRkYwMwdRvU6+N98wU5pPPccemAQgUSWSxDxCQpjuOuruGdOsxT7DHful14S\nKdRjT+AGXUgk0NpBrq4iKhWc9VVEP6A/O4cYLkAiQXDo8F4xVLbplYWRu+WI4q5NrQzliJCHjB+6\ncFhYWPhD4N8Bf/uDVl6HhIQ8YrTbdrwykbA+hm4Xee0qstFAx+OYRARnZRlTGCF45mM4V6/gXb8G\ntSru2iq61bZbLn0fncpYI+XWppUIfB89OoHOphCVOtSrmFQac3gepTT+i98EYQieeRbywxhAlooY\nP0JQKOCuruJurCG6ASYRZcbtUDax25c+nQCTTKFVFJaXEWubyJurGClQc0eseTGXI5g7BAZko4b2\nfPT0jF3dbYztqJRL+76GUI4IeQh5Px0HDfwZUFpYWPi/gS8tLi5e/mAvKyTko8cjHdcdBNbHoDV6\nYhKEQK7eRJTLEPHRuSzy5k1MIkHw7Mdx1m7ivfk61Ou20Gi3kBsbGNdFpzPIWh15cxG5swO+hxof\nw6QyyHoVUapAJos+Mo/G4L/0IhhF8OTTUBjFYPYKjQg6n0dubuBdWIdeF5NMo3NDiIjPL417/N6m\nYrktmc64/PIsONeuIGtVqOziCEn/+HFMOoMZGkZNTiI7HUSzaacnCnsruPv9PYNmA50dCOWIkIee\n9zWOubCwkAb+IfDfAc8D3wW+CPzh4uJi7QO9wh9AOI55MAjPGX77j0/fjusGeOrQ4Aca130gz9gY\nxM4OslFDFUYhGt03PjoSncribK6DNgTHjlsfwI3riFoFubWF6XRxN1YxRqJSKZxOC7G+aqcrXI8g\nX4BMBho1RBBg0mn04XmM7+K99BL0+vSfehJRGEVLiSztguvZImN7C1Etw63RyUQcE42jZqbBj4Dr\noQcHkbs7yM1NqFRwtjcR2QyJp56gjkt/ZBydz9v1275vl01Fo/Z7v2c6woRhTe+ZA/mz/JBx4MYx\n94qDLwBfWFhYmAH+EfCvgH+9sLDwJ8BvLy4uvv1+vnZIyEeVRy2uW9SqyJ1tu+p59hCiWERevwZG\nY3IDiGLRGh+PHoN+H/fUCdvK39pCd7vIzTXo9VHZHKLXx71xDbm1DkKiRkbR6Sy06ojSLiKdJpg/\ninE9vNdehk6H/vEnEJOTGIx9bdfFZAaQO1vWgKn6qHQGmRuynoSZmdvjlDqTxdlYxzl9ClmtIHd3\nMQMDBB97DieVgieOovCgVgfE95cjbvkaQkIeEd63OXJhYcEH/h7w3wJ/B9gC/gCYAF5eWFj4Z4uL\ni7/1gVxlSMgD4IeVHh6ZuO69wCZiMVsw1Gs4ixeh27WBTs0WzrWrBIeP2ACnyxcRGxvI3R1Mr4/c\nWMNpt1DZAYiBXFnBXb+JMaALI5hsFhp1RHkHkmnU40+gIzH877wMnS7B8WMwOY1B2G6B62DSaZxi\nEdbsxIZKZ5ARH5HJEExPI4Rj46ujUeTqKs6Nq4hyxQZE5fOojz+HyWYJxicgHgPfAzeGGiqAEHfL\nEeF0RMgjzvsxR/44VqL4r4AY8OfA3wVeuGWWXFhYOAX8cyAsHEI+svywm0I/6nHdP7BQCgLk1iYE\ngU1QDALk9WuIZsNOSrg+zo1rqIlp+s9+DOfyZeTyDeTuNihji41aHZPLYqJxW0AsLWGMRhVGMekU\ntFuInV1IJgmeeRyTSOK9+jJes01//ijMzGCksJKHEFQTOb5Qy3OjHWM2yPLL6etkPRC5HMG4jYU2\n2QGMFDjLy1a6KFeQjTpqbJz+4XkYGkSPjAEgfB8zlIexIUy5CdV6OB0REnIP76fj8BJwEvifgX+/\nuLhYeZe/cx74yo9yYSEhD5ofVnpIx/2P9Ary71koGYPY3UXWq6jhERuhvLGOqFQh5qOzWVsADA7S\n//gncJau4339azbTQIDY3EYUdzDpNGakgNzYxL1xBR0o1HDBpji2W4hiEZFI0n/mWXQigf/d15Ct\nFv25wzbG2fWRpW1AYOIxZLXG7zYynIwMgANlJ8YXvBS/fkQholHMwCCm28W9fgXTbCJ2i4h+Fz0+\nQf/4ccgPo4bySKMxyRRmYABcF+kIKJWQ128ivcjdY5YhISHvq3B4Gji3uLh4l9tiYWHBBZ5ZXFx8\nc3Fx8QXghQ/iAkNCHhSPjPSwx7sVSqJu8xN0dgA1NWMNh7s74DjogRzOzRUczyN4+lnk9hbuC1/D\n2VjHIGB3F3d3Cx1PYkbHYHcH7/RJTF+hhvLowRyy0YTiLiKRIHjmY6h0Gv/N7yIbdfrTs6iZWYwf\nsQuxpMFEo4hGE3FtDWEES8PP3XXNSyQwkzmoVHDPnYZOF1EqIbVCTU6hhguYfAGTzYB0YHAQlc7s\nyxFbm8h2E2bG0bNz6NC3FxLyDt5P4XASGAF27nn/LPBtIP6jXlRIyEHgoEkPtWaPf/OnZ7l6s8LU\ncPIDH/d8R6GUdhCNBmp6FlEu41y8ABh0Joezs4VTqRAcewzZbOC+8m3clWU0YMol3I1NTCyGHhnD\nNBp4r72M6fXR+RE7mtls4mzvQCxmC4ZUCv/ECbx6lf7EFMGzHwc/gizvglIYPwKtNnLtOkJKVCqN\ndFxm/D7l/n43YDqmcU+8iel2keUKRmDXdeeH0MMFO/kQjaIHh+zOCXhnWNP4GOQSULZLrkJCQu7m\nPY1jLiws/A/A5/fenAFuAuqev5YDNhcXFz/U367hOObBIDzn+8//8SdnOHVl9/bbH/S4p/U4XGB5\nvcZ0zuMX/osnyIg+cmMD+n1rWqxVcXZ37aSEkDhnTuFcWcQYEM06zuoqJhKBTA7T7+GefhsabXRh\nBJ3L4bSa0Gxi4jHUwnF0No136hSy0SAYHUVPz0I8bscc+337tTpd5M4mQjqotC0Y1Ng4pjBMNZ7j\nC0uSlXKPGdHiV7xlcvUSxvPQE5OY4QJ6aAiSSXQqgxkcBNe18kulvD8dMTh0W44If5bvP+EZ338O\nwjjml4AhQAL/FPgjoHHHx83e23/yw15ASEjIe2N58z6OexpDplXjN55NoH/uEAaBs74G7ZY1PjoO\nzrUrqNlDBBOTyFOn8C6cxRgD7Q7u2gpGOph8ASXAf+tNRKNmpYGxaWS7idzZxPhR1NPPoNNpvAvn\n8c5WCQoFgieegngUubsL1RLG80EbnJvLICQ6lQHPx4xPEIyPYjI5tO+TXb7BbwZFjNfCaTRRxFCH\nDtvuwuAQJmW9CyaTvUuOEI16OB0REvI+eU+Fw+LiYgv4FwALCwsG+K2994WEhHxITI+kKNe7+29/\nQJ4L0ahbH0M6ixqfRG6sI2s1iEXRyRTuyjKqMEr/Y8/hXDyP/9W/5v9n786jJMvuws5/733vxZKx\nZEZEZkaulZmVVRW1dHX1vki01EiABAIOoAE0HtsghADJDDICg+05w5ljM8e2BjgW1gJIsoThGGTN\nASxLwsJgNFq6JfW+VHVFbbnvsWTs23v3zh+vurqzq7o7qzqzKpf7OadPZURmvLhxMzrj99793d9P\nt9vojoe1OAdKoxNJVDCE8/hj2IUcXnoAPTSArNWoFIp88uAPMhUbYNxu8kvzX6PnzGm8ZBLv/vvR\n0Rgyv4YorKHsIHgaa2UOLMuv2mgHUAfG0EMD/g4JpbGmp5DrRUSjjmg20ZEo7qHDkE7jpXr9ypK9\nfS8tR9Tr/lUMpTY2oTIM47ptKnDIZDJvAR7JZrMu8PfAPZlM5po/m81mv751wzMM40U//8PH+eOv\nZjfkOLwhrZZfJtpx/IAht4ZcnAfHQfV0Y83NY0UjdO64CzkzTfDP/zM0aihPYS8tIjodVDSG6klg\nP/kYzsoSnb40HDmGaNaRqysQCPKJkz/FU1YvAEUvyB/23MuvjS+juuNY+RwiX4CAg9ZgLcyhnQA6\nGodQEG90HDUygk4mELUG8txZdLmCaNQQbRcVj/vf70uj+/r8dtrJFDjOlWJNolj08xrM7gjD2BKb\nXar4Gn5C5OrlrzVwrXURzYZ+c4ZhbJV4JMBvve+BN74u7Hn+h3qrhepPIyoVrHNnQQi/ouLK8uXE\nx+PI3BrBv/gCFAsoIbBXlhDNln+GPzSC/fTjBB75Ol5vmk7mmL/jYXUJ4QRxbzuJ7kkyXYtsePqp\nSD/CncOamgLbAcHlPhWWX8sh0IU7OYEaOYCOxZHr61hPP+1fXWg00EpBdw9eIoEeHESnB/yliZ7E\nNZcj1PiEWY4wjC202cBhAsi97GvDMHYhUcgjiwVUfxqCQazpKbjcA0KsF7FmpvGOHkc0GwS+8t+Q\nS0soJ4CVW0PWGhAO4o4fxHruWUKPfAO3tx83cxzRqPlJlIEg3vHb0IkEcn4BMTfLxEiaYnj4yhjG\n2wWEW0XZFlZuFSUFOhJBRyN4k4fRI6Poroi/9fNcFtlqQqPubwHt7oF4N2pkGDU86r+OyOXAxCxH\nGMZNsdkch5lrfW0Yxi5RrWKtLqNi3aj+tN/LodVER2OIZhM5PYV3cBLSAzhf+zvk9BTasRHldaxq\nFSwbNX4Acf48we8+iupJ0jlxElEuYy0toANBvGNH0al+5NIScvE0OhhAHzrGz/fU+VSpyLQKM6HK\n/ELnLKKwhpQWOhSGeBz38BH0gTG04yDn57DPPI9uNf38hUAAnUhBIoE6MIoaO+jvgjDLEYZxS2w2\nx+F/bvaA2Wz2bTc+HMMwtlS77Zd6tm28/gHk6gpysYIKh9GhMPbcDGpoGO/ESexHv4F99qxf7bFS\nQlTroDVqZAQxP0fgv/1XVCxO59hJZKWMNTuLDgXwMscud5nMI7Iv+F0nDx1GJVPIconEdJbfkBfQ\ngYDfvVIIdDCMTiRxjx1Hj4z65avnZ7FyeVSzDp5CBwKQ7EUnE3gHJ1FjE/5yhJRXyl+b5QjDuPk2\nu1Qxi5+/YBjGbqCUn8fQaKBSvcj1ItalixBwULEI1uISKt5N57bbsZ94nOCzf4HSym8uVakilMIb\nHIZigcBffxnd1UXn2AmsShl7ZhodDOBlMqhUElGpIc9fAMdBj0+iUklkqYR18TxICx0MIosFf/dF\nIIDu6/fzHwaHoV7DOn8OsV6ERtMv/xzuQjm2/3PHTqBGD0A06r8usxxhGLfcZpcqfnabx2EYxhYR\nxQKykEelehFCYM1MgSXRsZgfTEiLTuYoVvYFQn/3N+h2C1GvYtXq0G6j04OoRoPA3/4N2rHpZI4h\ny2XsmSm/DsORI/5Wx1oNOTOHkALvwAFI9fqdMs+fBwGqqwsrn0cr5e+UGB3Evf0OdG/az6d44TSi\nVEQ0mmjL9rd/CokeGcG7/Q7U0DAEAleKNYlCAYKmd4Rh3GqbXar4x8Dns9ls6/LXr0Zns9k/2Zqh\nGYZxLeVam0998fTVXSxrNayVJVQkhupOIBcWQHl+HsN6EVkq4Y1PIudmCf3Zn6JrFUSjiajXodWC\nZAovbhH4xtcQCDqHjyArJeypi+hgEG/yCLovhe64yIUFBBpvcBBSfYhaGXHxPEiJDnch1/PIagVt\nB9AT47h33oWO9yDyOexnnkZXK1jNBspxUNEYQmvU5CHcu+5B9/ZeezlibBwss2nLMG6166kc+d/x\nt2N+7jV+TgMmcDCMbfTpL53Z2MXyS2f41Qf8tX/Vk/SvKrRb6K4INBrIhXm8sXFEsUDwr/5fKBah\nUUO22tBqIiIx3O4eAo8+gt1p4x48hKzVsKcuQjCANzGJHhhAexqxvILtebjpQejthVoF60IWLQUq\nEsUqrUNpHUJhVOYo3qm7IBxGrK5iXbrkByvtDoS78Lq6kLaNe+Ik6s67/AqV8NJyhOf5vSPMcoRh\n7CibXaqQ1/raMIyb76rS00slVHQUWSwiC3l0MAROALm8hBoYRFkWga/+NayuQK2KaLuIThO6unAT\ngwS+/SjBahV3chLRbGJPX6QUSfCJ+36WqVAv47rKL+W+RU+zituXxk0kodX0e1QIv+GUVcwjS0vo\nSBfeyTvx7jyF0BK5sgz5VUSlhlAeOtqFFhIcB/f+B1EnbvOXHcxyhGHsGtfdHfPyDosfz2azpVfc\n3w98NZvN3rlVgzMM42pXlZ5OBLHm5iFgo0MhrHwO1ZNA9fVjP/JN5Pw8VMqITguhFEgLNz1I4MnH\nCRTyeBOT0J3wcxicIO7YOJ848E6etPsBKBLiD1Jv4te7ZvxqkxfOgWXjxXsQhbxf7TEaxbvvQbzb\nTiDabaz5RUQhD/UqUmvcSAyr0YBgF+3veyv60OEryxFiZQVZLaPiPWY5wjB2gc3mOPwQcM/lmw8D\n/0cmk6m+4scO43fONAxju9Tr/MLJLv6wEWEm32Q8JnnfbSF0VxeymIdAALevH/uJx/3KjKUSot0C\nrRBI3L40zjNPEnj6SbyRMUQ0hj09hXYc3JExSKfR0ShTemMfjGkrjjx/DmwLlepDrC1jz06hehK4\nD78N7/BhZK2GnJlGFvJ+3oQUqGAI2m1EIkHrx34CPTR85XXIfM4vPtXbi5dO34LJNAzjRmz2isM0\n8DFeKjP9Hja21X6xO+Y/eyODyWQyXwZWstnsz72R4xjGntPpIJdWIB4mlojx4TuboELQFUGUSuj1\nIqqnB+vMGezz5xCFnJ9LgEAohZtMYJ87S/DZJ3EHhuDAOM7sFMpycA+MQV8/ujuGyOWxigXGhzMU\nCV95+olmDtXbi1xdxb54Ed3fS+ehh3EPjGNVy1iXLkC+iKzX/cJPoTCi1YQDYzQefjt0d1+9HNHX\nD6HQrZtTwzBuyGZzHM4ABwEymcwMcFc2m81v5UAymcx7gB/ktZMvDWN/0RqxuoqoVdGxKFSryHwZ\nzwlAw0Xmc3jdcewLF5Hf/P8QqyuIRh3tBBGei5fowZqeIfj8s6jeXjpjB3GmL6KljTt8AJ3uRyd7\nEbk1rNkFvGQCrz/NL3TO86lai6lginFq/OLqt7DLOVR6mPb3vQOdTkOxiHMhC6Uiot7w6y+Ew1jK\nxT1+gs6bH4Jw2CxHGMYec905Dvg7K4aBLQscMplMAvgI8N2tOqZh7HaitI7MraHCXaAUYnWFUjTK\n736nxHSxw4GEw/v7qyQefQSxsoys1VChAEJaqHAXulggcOYMqjtO58A4ztRFhFjFGxqG/gHUQBpW\nc1hTl/BSSbyxA+hWE3nxHAknwK8lq8iZZWS1hhobo/UDb4NEElEsIc+f95dGOm2/z0QoiLBtOvc+\nQPuee/3AoF5Hzs36yxGplFmOMIw94kYChwmgtsXj+B3gP+EHJIaxvzUafplox0FLC7mWA8dCOw6/\n/7VFnlppA1BcafOZ+XV+c+U8KhxEBxy0tNH1Cs4Lp9FdEdpj4wQunkfkc6ihYXTfAN7gADKXwzp/\nHq83iXdgHN1qIS+cR9oOKj2EWJjDvnABdXCS1o886C+JFArIc+dhfR2pXFQgBE4QQhHab34IfewY\nCIEorZvlCMPYw24kcPgI8JlMJvP/ABeAxsu/mc1mZ6/nYJlM5m3AQ8BJ4A9uYDyGsSXK9Taf/fIL\nVxdWullcF7m8BO02SMtv3CQFOuAg6jWEJblY6Gx4yLSMocJBEBa6WsKemUU7Nu7IGIEL5xC5HHpo\nGJVO4w6PYuXXsC9doJgc5A/HH2SaCBP1VT6Q+w6RvjRyaR7r4jm8zDE6d92DDIb84lELC35AoBQq\nHEIriU6n6Tz4Pejxcf+KyNqaWY4wjH3gRgKH/xuwgLewsX+FuHx7038tMplMED9Y+ODlqpQ3MBzD\n2Bqf/fILGwsrffkFPvSTp7b/ibX2P3QrJZTlIOt1v+KjE0A2m3C5sqOcusBkq5sCySsPnfBKiEbd\nbzglBF46TWBmClUo4A0OogaH8A6MYa2u4Fw4h5dIotKD/JF9kqdkCoBi9ACfVJrfnPky3vGTuKdu\nR2BhlUswO4ssl/zKjoEghGz02ATtB96EHhi4UmDKLEcYxv5xI4HD923h8/9fwGPZbPZvb/QAUgqk\nFK/6fcuSG/41tsdemOfZ1epVt217m19PuYRcXfXPzj0Xu9VEBxzoaES96ucczEwjL01hrSzyoXCM\n34vdzZTsZqKV54MvfBG7VcPr68OencMqnEWlh9CjI3gHxrFyK9jnz+KmemFwCKtWg9kZpiYf3DCM\nqfgA3nv+N5ASp1yG3JpfMhqBCDmoriji0GG8e+5FJ1PY5RJibhodCKIHB/bUcsReeC/vdGaOt992\nzrHQ+sabXmYymWA2m229/k++6uMvAWlAXb7rxVJxzWw2G9/MMbTWWohXDxwM4/WUqi0++vmnePrc\nGh1XXbn/3uNpfut9D2zPkzabsLAASvlLE62WHzxoDY2Gf5VhdhYuXfL/1Rp6esB1oVKBpSXodCCZ\nhPl5qFYhnYaDB2Fy0v9+sQipFDiO//21Nb9pVCTCv7JO8Vhs7KXX2u3xW0MF/3G1GgjhV27s64MT\nJ+DUKb9DZT4P5bI/llTKLEcYxu533R+gNxQ4ZDKZXwJ+ExgFjuDXb1jIZrO/fZ3HGQWcl931Efzl\njt/IZrNTmzlGPl/Vr3fFIR4PUy43KJabfPpLZ5hZrjA2EOPnf/g48chNXMPew14+z56nXv8BO8jv\nff5pnj6fu3LbsSQnDia35/3huojlZUS95gcDzQYI6f/XbCAqFX9L5cw0cnYW0Wrh9qawPA9RLhEu\nrdOuN3FjMayVFSiXUH396LFxvIOTyLVlrEIRL5EE20JUK4hC0e9OGXSw8gV0uIv1E3fyycAxplsO\n41aTD3hniTfKgEDHo+jBIdSRo+jDh9GBoN87wnVRqRTEu7d2TnaY3fxe3i3MHG+/zc5xIhG57sDh\nRkpO/wPg3wL/HviNy3e/APy7TCbTyGazv7vZY2Wz2blXHLuC32FzU0EDgFIapV4/+PE8xae+ePrK\nGnax0uJTXzx9c9aw9xHPU7ju7vpDML1U3nA7Erb5lXffDrB1r0VrRC6HLOZRGkSrBUKDtKDVRqyX\nEIUccmYaZqcRtTpeby9EIsjVvF8rod2G7iiq0cBaWsJNJuHOu+kcPISVX0WefQGVSKASSUS1jFUs\n4zk2IhhEFtehu4fW3ffByChh2+LX12cRtVVEuQGOxOtOoMYOog4eRB0Y88e84l+lcHv7XlqO2GW/\n3xu1G9/Lu42Z4+23HXN8IzkOvw58KJvN/nEmk/k1gGw2+/uXS1D/c2DTgcPNNrNSec3bxhtTqrb4\nvc8/zfRS+dbsSrhBY+kY69X8htuwdbssRKWMXF5Cexrctt8vQki0Usj8GiKfRy7MIWenEfkCqr8f\n1RVF5lYRlYq/jOE46FYTLiyjYz14d96NOzmJLORwLmRR3T1+wLBeRNaqKEviBW2scg2dSuLe/wDe\n0BDCdqCQx1pbQzSaqKCNGh5CHTyCGhlBDw5Cq+3XjzC7IwzDuIYbCRwywNevcf/fAx98xSEFAAAg\nAElEQVR/I4PJZrPvfSOPfz2v9gFhbI2Pfv6pK5f8b+quhDfove86dlWAAFuwy6LZRC4tIpoNcD2E\nVn5jJw2iVEDmcsjFReT0FHJtFZVKoUYPIJeWEJUy2nVBCmi1sBYWUN1xuO8+vJEJyK9iXzjvBwzd\nPX6NhXod5dhoAbLZRid7ce+7DXdwEGHbiLVVP1BpdVBdXagjR1CTh/wOmj0JZKOOKBb39e6Icr3N\n5/76LLMrVQ6ko/zsDx7dFcGvYdxMNxI4LOMHD69cTngTsPiGR7SNXv4BMdwbwfUUH/7YN3fV2fFO\ndnF+Q8PUXXNFJ94VuGZAcMNXqDwPubLsF0HSGrS6snFZrK/7SxZLC4iZGaylRVRPws9PmJtDLiyg\ntEZ6HrpewyrkUF1RvDvvQh0+DI0q1oUsnVgPIhZD5NaQzSZaSlAe0tV4yV4YPoA3MoyQArmyjFzL\nITwP1R3HPXYSJiZQqV50OIxoNJDNhinWxMZgsVBu8lm1O4Jfw7iZbiRw+EPg45lM5lfxszEzmUzm\nB4Dfxs972LFe/gHx0S88c2v27O9hkyPdFM40r9ze7Vd0rvsKldb+ssPqMngeQmv05TbW1KrItRXk\nyjLMzWEvzKO7unAnD2HNzSOWn0dLgXQ7iEYTmV+DUBjv9rvoTB7GWs9jXboI/b140TjW6jKi0wGh\nEZ0OOhxC9Q9AegBvdBQQWIsLiHwOtED19+NmMqjhUYjH/YqUXgdtO6ixtFmOuMwsZxrG69tsW+2P\nAP8mm80Wgc8DCeDPgRDwZcDFL+T0b7ZpnFvO/IHYeh/66Tv5nT99fEOOw272aksY1yKqFeTiPDRa\nfjitPLSQiFbL7yOxsoyYX8BamEXbDu6BccTSItbp50BIpOuimnVEPocMBHFPnsKbPIwsr+NMX8KL\nRlGhMCwsYDVa6I6LcDuoRLe/qyKVxhsfB7eFPTcL60WwLNTICN7xk6j0ANi2v1QiBCQTeLG4/7Vx\nhVnONIzXt9krDv878AmgCFwCBoF/DRwHJHA2m82WX/3hO4/5A7H1uqNBPvzTd+yZLOlXW8LYoNVC\nzs/5SYwCf2lC4bfBXllBLK8gF2eRC/MIreiMHUQuzfkBg2UhPY2qlRHreSzbxj1+Eu/QYWSlij0z\nhReL4YXCWEsLCCFAgqjV8Hr7IBpDJ1N4ExOIZhPr4jlEuYQOh1GTR/BO3o5OJhCe5wcMXV2ol++O\nMK7y3ncduyrHwTCMjTZVxyGTybwANIGngZ/Bv+rQuNbPZrPZn9vKAb6etbXKa74A25YkEhGKxdqG\nD7Rb3pdgj3m1ed6zXsxjWFn28xeEQKDRnucnIS4uYa0uwcwMstmkMz6BzBewlhfBsRGdtr+tMp8H\nKXEPZ/COHMGq1pCFIirahXY72GurKCEQzTaW1yE4PkbdDuJF43iHJhHlKnJhFtFsouNx1MQk7m0n\n/aZUzSYEA6hkL9oUa9q0ffdevgXMHG+/zc5xX19s2+o4/EPgXwJj+H8mDwDt632ynWRTZ5OGcQ0i\nn8ean0G7nn/53/X8Ko6lItb8AnJ50b/CUK3QGTkA9TqB559FO45/UaJURuRz2ELQOXQEdew4slzC\nmVtARbpwHRtnfh4lBLrVxFLQGR1FBBwYHsAdGEGv5bCefRqhNLoniXv7nXi3nQQhkNUKSgrUxATa\nLEcYhrHFNhU4ZLPZJ4B3A2QymSngR7PZbP61H2XsJuYKzCZUq1izU1Cro53Lc9NoImoVxMIicnEe\nubiAWC+iRkYRoRDB7Bm0Y/ubKioVP3kSjTt5GHXsKFQrfoOqSBeuFDhzM35w0WwipcQdHUNZEnpT\nuOMTUCpgPfkE2rJRfWnco8dRR48h6jVkuex3wZw4aJYjDMPYNte9qyKbzU5sx0CMW+uWdYbcDdpt\n5OwMspBHOwGEEOhG3U98nJ/HWpxDLC4h82uogUG8oWECF8+jAYWAag2ZLyCUiztxEHX8NqhUkQsL\n6FAQjcaan0FgQa2ODNh4ExN+GepUH+7wCPbCLPKJJyEZh/ExOsdO4k1O+rUgcmt4B8bRabM7wjCM\n7Xcj2zGNPcjsMrkGpZBLi8j5ObRtoS3Lbz7ldpDLi1izM4ilZb94U18v7oExnAvnsbRCKaDdRBbW\nEZ027oExvBMnkfUKcvFywKAV1twcSoCo1xHBIO7hwwgEOpVC9fUhF+axn3sSHY2jjh6F73mATtRv\nbCXX1lCTh9CJpFmOMAzjpjGBgwGYXSavJPI5rEsX0UqjbBvZaIDyEKtr2LPTsLiEXFlCJRK4B8Zx\nLp5HdtpoNLguslhENJt+wHDsBLLVwlpZQjs2uMqvBOmCaNQQXV20Dx/FEpcDhlgca3EBu1jA6+lG\nHT+Fe8+92N1RKBcQlRKdU3dCJHKrp8kwjH3IBA4GcH01C/a0Wg37fBZdr6NDQUSzgah3EJUScmba\n33q5vAxdEbzRUezpKay5WbQQfsBQKiOadbyhYdwTtyFbTeTaGtgCOh2s1RW/yVWtjohE6Bw9gRRA\nogcvFEKurkG5jO6O4R2YwL37PpACa2kBIiF461tR1fa+aTRlGMbOYwIHAzC7TOh0kJcuIFdX0eEu\nv/11oQ6tJtbUJcTCAtbiHDocxRs+gD0/jb20BEKjlMJaLyGaDbzBAdzMg0i34wcBjoVstqBSRHsK\n0WpCpIvO8RNIodHdcZQlsYrrqEAQUim8g5N07rwH2agj11ZQowfovPVt2AEbHIddvqHJMIxdzgQO\nxv6mFHJhHjkzhQ6EQIAs5NBaY01PwcwM9tI82gniDY0iFxZwlhfRWqMAWapiN6p4vX14996P0B6y\nUARHIpo1RK6GcjvY7TaqK0rn6HGkFOiuLhRglSp44ZDfaOroUdzjJxDFEtbqMt7EQfTJ203+gmEY\nO4oJHIx9S+TWsM+d9ZcZNMjcGlpI5NI8XLqEPe+Xh/YGhpBLS9hnzoDbQVkWol7HrpZRvSnad96B\nAES5BFojKxVoNtGei2y1IRajM5nxlyQCQbTWyGYbFQ7jjQyhTp7CnTiEVcwhCuuo8Ql0b68JGAzD\n2JFM4GDsP9Uq1gunodHAsyysYhFtWYj8GtaFC1izM2gBXnoQsbaKffY0NDso2wKvg13IoxI9dO67\nHywHWa2A0ohSGdw22lNYzQYqGqVz6AhSCLAstFIIFCocQiSSuKfuQg8PIdbXkbUK3qEj/g4JwzCM\nHcwEDsb+0elgZc8i1lbRAQdZWgfHhmoF+1wWa+oSSiu8vn7EehHr7FloNf2tmAKs1RV0Mol7113o\nYBBZLqOVRpTW/f4UXgdRq0M8RufESSQa8ND4uQk6FITePj9gSCYRjTqi46IyR9Hx7ls9O4ZhGJti\nAgdj71MKOT2FnJ7yyz5Xyggp/V0Qzz+PfSGL7ii8dB+iXMI6fw5Rq6EtGwIOcm0FYt14d92Ddmxk\nrYGoVqFUQkqJ1tpfpoj34J48hfRcRLsN4RA6FEUEg+iBQTp33IGIxaHjgm2jDh/xS0IbhmHsIiZw\nMPY0sbqMfeaMf2WgVkW4HkpK7OxZrLNnEM2mvyRRqWBduAD1KgKBCndh5XLQFfJ7QATDyHodXakg\n14uoYAgQfvvqngTebacQ7Tay04RwxN+Z4VjosXHaJ25Hx2N+X4lgAD0yio7u7zoZhmHsXiZw2OP2\nbQ+Kchn7+Wf9So/1KrLVQoW6sBbncZ55Glmr4fb3I50g8uJFZKUEAlQsjsznkMrDyxyBUBey1UCv\nrSEqZXSoC2U5iFwO3duLd+IEou1Cu4WORNGRMDgh1KGDuJnj0N0DSoFt4/X1m6JNhmHseiZw2OP2\nXQ+Kdhvr9POI1RVEpwmVGsTiUFol+D//Frm+Tqc/DUEHa24GUSwiAK8niSzmsYpFvPFxiESRtTp6\nZRlRq6KjUZQTQBQuBwzHjiGUB55G9fSgg0FEIIiXOYY6ehTVk0B4HgBqYBC6uoB9HMgZhrFnmMBh\nj9s3PSiUQp4/59deaPo5CDoWB7eD8zdfwVpZodPXj06nsecXEOt5UBovkUSUyljFPN7IKDocQlYb\n6IUFvwJkdwICQT+hsrcX7/ARBAqkhe7uQQUcZDiCd+w43rHj6GQC0WgilEKlByAc3jDMfRfIGYax\n55jA4TXs5rPDF8debXQ23L8Xe1DIhXms089DvYYol1GxbrAd7K/9HfbcLG5vH53BIey5WSgWkV4H\nty+NqFaxCnncoWFUuAtZryHmF5HtJl4yhVIKe3UVlUyiDh7yt2wGQhCNoG0bEYvjnbqDzvETqHgc\nWS4jmi0/YHiVttb7JpAzDGPP2jeBQ7nW5lNfPH1dQcBOOTu8kQDm5WMHsC3BifHk3upBUSxgP/sM\nIp9HlNfRkSgqFsd+7FGcc+dxkz10Rkex5+ZgLYf0PNz+PnS7g5UvoNJp3FgcWS0h5uYQbgevrx9d\nl35PiVg33ugoKhREhLoQoTDasdDJPty77sI7fhLd1YUs5JG1mr8kEQy+5pBNMzHDMHa7fRM4fPpL\nZ647CNgpZ4c3EsC8cqzRsLN3LonX69inn0POTCHKFXQoiEr1YT35OM7p59CRCJ2D49jTM3DuHLLj\n4g2kcZXGyhfQvX146TSiVMSauohQGtXfD7W638EyEsMbGEZFI4hwF8JxIOCg0mnaD74JffQE2rKQ\na2sIz0UNDUNgc1eiTDMxwzB2u30TOMwsX38QsFPODm8kgNkpY99SrouVPYs88zyiVALHwetPY515\nntATf4l2grjjE9gzs9jf/ra/MyLdjyttrHwelUjijY8h1kvISxfRQqL6erEaNeTKKjocwEsPonsS\nEHQQtgOWhRobp/OWh1GHjiA8F7G6igiFUCOjl5tObd6+byZmGMaut28Ch7GBGMVK66Xbm/gg3Sln\nh9cKAl5v+WKnjH1LaI2cmcZ68nHE2hrCsVHpNOLSRUJ//RW0dukMj2GvLOB851HwPFQqhRsMYxVy\nqEgc78ABRG4Na20VHQiiUr1Y7TasrqDtIKqvF51MQSiA1gIZDOJmjtL53rejD4whGnXk0iKEw6gD\nY2Dvm/91DMMwNhBa61s9hjdkba3ymi/AtiWJRISZ+eJ15zi8mpudNHmt53tlDsOpydQtPZN9cZ6L\nxRquq7bsuGJlBevx72DPzaIReENDyMUFnG99E1Gv405MIJdXsGYuoT2FTqVQ0Rh2IYcKhFGJBHJ1\nGVm9vKTRk0J2WohyGW1bqEQv9PejpQDXQ0RjdO66B/dtb0f39SPKJWQ+5+dP9PaBZW3Za7te2zXH\nxkZmnrefmePtt9k57uuLXXc3vX1z2hSPbN0l4pudNHmty9tbnX+x43aQVMrYj30XK3sWPBd3cAhR\nreL81V9iF3J0xiYQlsT+9qP+1seeBLq7B7lewKpXcPv6sZaXcfJrqEgYlR5AuB52PoeWEtWfRvWl\n/QaU7RYi1Uv7obfiPvQwRCKI0jrW1EVUJIY3NnFLAwbDMIydZN8EDltpJyRNbnUOw07ZQUKzifXU\nk9jPPA2tOmpwCFyF/T++irO0gDs0ipvqw3nqMYSn8Lq7UckkslRC1Mq4yST24iLOyipeNIo3OOg3\ntyoU0ELj9fej+gbBcxHNBmp4hM473ol37wNg24hiAbmyhIr34I0fBClv/hwYhmHsYCZwuAE7IfFw\nq3MYbnkw5HlYLzyP/egjUCmjU/3oRA/Wt76Fc+kC7uAQnfQgznPPIDwPL5FA9SSxahVEuYIbiWHP\nzxFcXsaNxfAGBgGQ+TxIiertxUunwfP8FtZHDtP60Xejjp8AQBQKyPUCqjuBNzFpAgbDMIxXYQKH\nG7ATEg+3Mju/XG+j1MZUke0Mhl65LPJzJ8KkHvsmYnkR1dcPo2NYTzyOc+Y53FQv7eERnDPPY3U6\neD3deD0pRKuJXS3hBsLYSwsEFhdQ8ThuMuW3wC6u+zkMqRSqf8BvQFWt4d15F7V3/xSMjIJSiHwe\nWSqiepJ4Bw/hr10YhmEYr8YEDjdgr22p++yXX6Bcf6nCZLzL2dZg6JXLIp+7WODXeuqoiUNYZ5/H\neeIpvEiYztAozpnnEJ0OqrubTnc3QmlkvYonLcTaKoG2ixeLoRMJlGVhlctoKdDJhF+rodlE1Ju4\nb3mI9k/8JCQSfsCwuoqslFDJlAkYDMMwroMJHIyrliWkFNuaGDmzVN5we9rqRpTO4fzNV8Gy6KTT\nBM6dhamLqO4kKhoDKRHNFlpo5OISAa+DF43jJnvBsZHVKtJT6O44Xn8a2WggPEX7h38c94fe5TeZ\n8jzEygqyVjEBg2EYxg0ygYNx83I2KhXs7zzKRL3CUySu3D1RmMU++y28VC+BSxew52bwenrQqV60\ntBBuC93S2MsLiHYLL96NF+tDBxxEtYFo1CEaw+vtRbaaiECA5k//A7yHHvYrOnoe8nKXS5W6nOtg\nGIZh3JAdEThkMplJ4OPAm4E88LFsNvs7t3ZU+8e252w0m9hPPYn97UfQjTrvHxjhU3mL6aZkorLM\nL+a+gyyVsFaWUdEYemAYHbD9ttT1KtbyMnTaqFgU3Ze+3MGygixU0bEYbqIfoRUikaLxU+9B3XOf\nv33Sdf2iTY0Guq/Pbz5lGIZhvCG3PHDIZDIC+DLwHeAO4DDw55lMZj6bzf75LR3cPrFtORudDtbz\nz2E/8g3Eeh6VHoRwiOTX/5Z/kcujuuNYKyuIehUv2g393SjHQQKiVsNaWkK02qhYBN3fj4pEEOUy\n1loFHQnjDg0hLAsxcYjGe96DPnabvxui00GuLEOzie7vRw8Obf1rMwzD2KdueeAApIGngA9ms9ka\ncDGTyfwd8D2ACRx2uBd3SMyuVjk02sPPvCNDlyORZ8/iPPoNxPISdCfwetM43/0u1uIiXleXvyti\nuuAHBb39/rKDlshqBWt1FdGso6IxvIE0RGJQrmCvrOCFQnj9aUQkjDp2kvZP/jT64KSfq9BuI9dW\nod32d2cMDd/q6TEMw9hzbnngkM1ml4H/9cXbmUzmzcBbgF+6ZYO6QdtVfXHHVXV8mZfvkHjszAqd\n9TK/Js9hzc1AIITX24/93NOEZuZQlkS3WtjrRVQ4jEqlwHIQlkQ06liLC4hGAx2N4U5MoCIxZLmM\ntbyAZwVx+9LoRDfeHXfT+bGfQI8e8AfRaiFXV/weFf1pPxHSMAzD2Ba3PHB4uUwmMw2MAl8C/uKW\nDuYGbFf1xR1T1fEarioctVjCZhavuwd54QLBS+fRHYVuN5GtFjocwutOQMBCWjaq2cC6OAutJjoa\npXPkCETjiPUizvw8yrLw+vpR6QG8e++n/UM/ApeLO9Fs+gGD1n7AEA7fghkwDMPYX3ZU4AD8BDAA\n/AHw74EPvd4DpBRI+epb6ixLbvh3O82uVjfcPjNdpN5yiUfe2NWBVx53drWKbd+6yoblWptPf+kM\nM0sVlOtt+N6E1UDmC9iPfRtdbyHaTSytUIEgRKMIy4JQCFotxKUsdr0O8W68yUno6kKuF5FTF8GS\nqPQgeuIg3v334779+yA94L9hGw0/YBACNTQIoRD7oc7jzXwv72dmnrefmePtt51zvCO7Y2YymXcD\nfwrEstms+1o/q7XWYofsxf9Xn/k2j51Z2XDfvcfT/Nb7HtjS427FMd/QeD79bR574aXxdNPGEoJJ\nr8SHTv8l3aU1aLdBawgG/YRFKf2AodOBixehXod4HCYnIRKBtTXI5fzdEKOjcOIEPPggvP3t0Nfn\nP1G9DsvL/s8MDPjHNgzDMN6I3dcdM5PJ9AMPZrPZ//qyu88AASAOFF7r8YVC7XWvOMTjYcrlBp63\nve1bf+YdGZ7OrtF52fNcmFunWKy94eN2Oh4zyxXGBmL8zDsyb/iYN0oU8ly4sMzL32tSK/7omU8T\nrJRp1xu0EKhQAIGAjgeREFp5yOdPIxp1dE8CdeI2dKQLmcsjLl5C2Bbe6Cjqjrvx7r0fdd996N7L\nAcP8KnJ1Be046P60X5uh7vr/7SM38728n5l53n5mjrffZuc4kYhc97FveeAATAB/kclkRrLZ7NLl\n++4B1rLZ7GsGDQBK6av6LFyL56lt7/veFbQ5Pp64ko8AcKA/+oaftyto8yvvvn3DfTe7h71YL2I9\n8zRifo7xToTiyws45WfRy8sQDKC6IuhOB9ouOhpFKY2dfQHZaKATSdzJI+hICLm6hjU9DbaDd+gI\n7t334t19D96pO9Cp3svPWUKsrUEwiDswDI5z+cXv7z80N+O9bJh5vhnMHG+/7ZjjnRA4PAY8DvzH\nTCbzYfxA4iPAb9/SUd2gndAAayuJcgn5/HNY83OwuIC1tsoviACf8iaYCqU4uL7AB878FTraDaqN\nqNdRsRhaaezz57DqdVQqiTp0BBUKIdfWsKamIBTAO34b7pvejHf7HXjHT6CTKRACUSn7AUM4jBo9\nAPZOeJsahmEYsENyHDKZzADwMeDtQA34D9ls9t9t5rFra5XXfAG2LUkkIhSLNRPZXgdRKSPPvoC1\nMAdLS1hzc37p5tk5RHEN6nWEbaFicUS9hXRbBBM9NDou8tIlRL2GSvWhh4ZQTgCrsIYorEMoiHf0\nOJ2H3oK67Xa8w0deChjKJWRuDd0VQfX2mYDhFcx7+eYw87z9zBxvv83OcV9fbPflOMCVWg7/y60e\nhwFUK1jZs8ilBcTaGtali/4uhsVFRD4HjQZCClQiCc0mVrGIF4mh7DCcP49Vq+OleuHgJMqykIU8\ndrkEoRDu3ffQedv3o48ew5s4iE4m/YBhvYgs5FGRGN7YhJ/8uIV2ch0MwzCM3WZHBA7GrVWut/ns\nF59nZqnEeKDD++M5khdOQ6WEXFlB5PLQrCG0xOvpQXZaWLk8XiyCCoSQ8zPIegN6U+ixCTQCkc9h\n12rQ1UXn/gfpfP870YcOo0YOoFMpgJcChlg33vhBf+fFNtjJdTC22l4OkvbyazOM3cQEDvtdo8Hn\n/vxxnlntAPB0y+Yzq4rfOH8Omc8hWi20Vuh4Et1pYufyqHAQFXSw5hf8XRKJFGpkFBwbnc9jVWsQ\njdJ+80O4P/jD6PEJ1MCgHzAIgSgWkMUCKt6DNzG5bQHDi64qUvWK23vJXg6S9vJrM4zdxAQO+1Wz\niXXxPHJ5mZmCgJeVUJqSUaylZXA7qHgU7Sns/CoqEETbEplbQzQaeLE4YiCN0hpZKEK7iYjG6Dz8\nvXTe+SPo8XFUqhfd2+sHDPk8slRE9STxDh7y+0vcBDetbfgOsJeDpL382gxjNzGBwybtmcukrZYf\nMKws+02hzp9jotpLMfRSB8mD6/OooI0KBXHyBZRjo20bsb6ObNTwonEY7gWt0dUKstGA7gS8/Xtp\nvvNH8AYG0N0JP8HxxYChvI5K3NyA4UV7bafLa9nLQdJefm2GsZvsiF0Vb8TN2lXx0S88s6E+w6nJ\n1O66TNpuY126gFxeAtdDXrqIdeY5xOwslWaHTxz/caaiaSYqy/zSua+QWltAS1DSQtZq0GqiwmFE\nJI4WCtFq+22ruxO49z+I96M/Ss+xQ6wrm07ych2GXA5Zq6CSKXR3z00PGPaazbyX90yAew0367WZ\njP/tZ+Z4++35XRW7wa69TNrpYE1dRCxdrq01O4v1/NPY584jyiW8QJDuVoN/8fh/wotEsPNraA0q\nEEBUq8h2Cx0KQ6IXIYF6BdnxUH29uG//ftrv/CEYHMaKx+DQBHq9jlxeQdSqqFQvXjp9S1/+fhPv\nCuyugPY67OXXZhi7iQkcNmnXXSZ1XeTUJeTSItqWiMVFrGefwj59Glku4XZFkMrDrlVxI1HsQh67\nVvVrLtTr6FoNHQhCvBshJbpRRygXlR7yd0n8wA+gh0YgFEL1p5G2hNVV5OIaXiKFSg/c6hkwDMMw\ntoEJHDZp16yTe54fMCwuoBwH8jmcZ57GevIJrPUCXjSGkgK7uI4b7UI2StjNHCoQwKrVEM0WKmAj\nwnHQQLOB0Bo1NELnvgfo/MA70AODEAz6rawBubqCdNtwZIL1gTCf+uLpqy4n7+VL6IbP/I4NY38w\nOQ57hechZ2eQszPoUAiRy2E98xTOtx/ByufpJHqQrRZWpYIbiWGV10FrlOMg63W0BhwLAkHwFHTa\nSClxh0fwHngznYffTqmnl888UWRmvcNYOsr77u4hLhWqrx+7J04iEeH//INv8fT53JVhvZgLsutz\nRHaAnf5e3iu/450+z3uBmePtZ3IcjFenFGJ2Fmt2Gt3VBZ0O9mPfwf7W17GXV+ikkhDpwllbw+2K\noLTAqpbRloWo1RDtDjgWOhhCtjvoag0ZCNCZOEjngTfRfsvD0J8Gx+Ezj+Z5ZsHvyrl+qcBnlOJD\n77lrw3Bmlq+dC7Jrc0SMTTO/Y8PYH0zgsMtsuBwct3n/UJ1YTwwtBPa3voH9ja9jLc7hxeK43XGc\n5VW8cBAlJFa9DlpDowbSgnAYLS1Eu4ksVxDhMO7Ro7QfeBPumx5C9/eD41zJV5hZmtowlplc/arx\njQ3EKFZaL92+nAuy63JEjOtmfseGsT+YwGGX2Vg9r82nW5Jfbz+K8/W/x5qdRUWjeLFu7FwOz7FR\nwQCy3QHXg1bDr8cQiaKFQFRqSO1BNIp79DjuvQ/gPfggui8Ntu0HDFr7NR+AsYE461PFK2O51gfD\nz//w8atyHGAX5YgYN8z8jg1jfzCBw26hNWJ5idm5/Ia7Z5bKhL7yOXSkC6877peElhIVDoHnIus1\ndLsFtoPqSYLbQVbLSKXQ3Qm8ycO4D9yPd+c96HTa/7mXBwxS+reDQd7bO/i6HwzxyLW3zJmtdHvf\nXv0dm6RPw9jIBA47ndaIlWWs8+fQwRAHehyKl/tKAEwU5/DiMaxiASkkXlcYOq6/9OB5aNtC9fX7\nJabzq5SCcT7+ff+US6kxxrsU77srQXQ4DYGAv0vixYDBtlGDQxB46Q/kXv1gMIzXYnpkGMZG+ypw\nuBVnDjfynFces1RiPOjyvuMhYskU1vPP8svf/Bv+IH4Pl7qHmagu80++8yfITjXCMEMAAB6qSURB\nVB0vHEG22ljFItrTiKCD259GVMpYi4sgLVRvHx97+J/wZHQUgGIHPjXn8KH7Rl4KGAIB1PAIOM4t\nnTfD2ClM0qdhbLS9bQl3mBfPHNarbZ656J853Khyvc1Hv/AMH/7YN/noF56hXG9v2XN+9i/9bW3r\ndZeni/CZpyuEPvJvCf/+79Jz7nk+cPovOVicYzqa5uMP/GNKoSh2LoeolcG2cEeH0U4Qe2YKWSqh\nBgbpPPRW2u99P1PJ0Q3PNVNykSvLyEoZNTJ6VdCw1fNmGLvNK3N5TNKnsd/tq8BhK88cNvthej3P\nKfJ57Ee+efVjcnWs7Bm0ZUGrzSeP/RhPDN1GIdzDk/1H+eSpn4JgAHd0DGUFsC9dhGoJNTyM+5aH\naf7cL9D5Rz+D+8CDjKVCG449lgiiDoz5yxKvCBhu5DUYxl7z3ncd49Rkip5ogFOTKZP0aex7+2qp\nYiu3i232w3RTz7lexD5zGo1AJVOMhxZ4uv1STDdRXvQTHRsubjTGpZ7hDQ+/1DeOCgSwz5/zt0+O\njKKOnqDzpjfDyKjfpTLSherr572pFp/96nmmSy5jg3He+67jYL/228BsszP2M5PbYxgb7ZvAoVxr\n43oK2/KLZGVGe97QmcNmP0xfc4taaR37hTPguaieJGJ1heDHP8ovn87yyZM/waXECBPr8/zyd/8M\nLxqFYhF7cZGDxTme6Oq5cpiDyxcR5Qp6ZATvxEk6b/4eGBzGSyQRsagfOCiFXF0hHuvmV/7RAyA3\nf7HJbLMzDMMwXrRvAodPf+kMp6dfqkFgW/INJfi91ofp6yYTlsvYZ89Au4VK9iJyawQ//Uc4jz+K\nrjfoDof5ze98BstTeF1RZCWHKLp44S50LMIHzn2ZT1iS6dggE8U5PnDxK3Te9v243/MWGEjjxXsQ\n8Si6tw+tNTK3hor34E1MXlfA8CJzxmUYhmG8aN8EDq9WCvlGvdaH6atu36pUsM++AI0GKplEtNsE\n//gz2N/6BqLeQEW6IOBgNZq44RC6uo6sVlCxGNJTiFg3ulEjcekF/uXcBVTfAN7tp+i8//10Ur2o\n7m5ELOYHDEojC3lUdwLv4CEQ112O3DAMwzCusm8Ch1crhbwdrsp/WC5jP/5dqNXQySS0WwT/5I+x\nH/kGZRc+/sDPcjE+DAIEMLk2xQe/+R+JRaLIThsZCKHdNpV8iY+/5X1c6ptggirvO+oQ60uiY3Ho\njqNTvX7AUCygEkkTMBiGYRhbbt8EDq9WCnk7vDL/YdxpowMxaLZw/uw/Y3/ja4h6HRWJ8PH7/yFP\npjeO5YnRU3zire/nX3zncygngJVbQ0iLj73jwzyZPgpAkTiqLPjVO9Ko1OUchtI6KpkyAcMOY+pg\nbC8zv4Zxc+2bwOHVSiFvh/e+bYLPlUt+++keh58/qHH+y5/hfP3rUK+iuqLoSBf2eoGp7qFrHuNS\nYhRRKWEJcPvTqDvvYmroMHgv/cx000IlkshKyQ8Y0odvyuszro+pPLi9zPwaxs21bwKHcq191RWH\nLT8rabWwzr5AqpDnn97Vg1UsYv2PL+H86Tf9ZYpwGCIR7NwqXiCEVpqDuWmeGL3jqkMdzE/j9fZR\nvPtBPjn+/cy4QTzEhsBhvNuGcBjvcvfK7WbO7G7Mfq6DcTPeM/t5fg3jVtg3gcOnv3Rm+85K2m2s\n7Flkfg0vGoNGA+e/f4XAk49BpYIOhlDBEE4+h7JslO1gNRu48W4++OR/4RNSciE5DoBAc7C8yPud\nGVq/+EH+Q2mY58svLTtEgxJbCsbSUX72R0+ib+IHtzmzuzH7uQ7GzXjP7Of5NYxbYd8EDq/cVfHs\npTwf/cIzb+wMqNPxA4a1FbxIFIolgl/5EvK5Z5GlMgQdVMDBXllGOg7KCSJaTbxIBGFZ2LUasbjg\nnz/yaUSrjU700Ln7Hry77kUNvQvt2GQX9IanbLqaP/pnD9/gLLwx5szuxuznOhg34z2zn+fXMG6F\nfRM4vHJXhdZcKRX9oZ88dX2XVF0Xee4c1vICKhyGlWWC/397dx4mV13ne/x9TvW+VKfTWQmkOyTw\nIzth0IhEBGQc7wOD22j0ogxBkFEY4zJz73hlAB31GcZlbogK3sEEvTPjaIZhxtFnRsHlIjosakKE\n6M+EpDskJJ2t09VrqqvOuX+cU0n1Xt1d1bX05/U8ebpPnXOqfv2lqPqe7285O3+B+1uL23ESHBfP\ncSg7egTKyvBr66C/D991cSoqKesLpl76FeW43d34DY3EX7uB5GWX4zU347guTrSB0/WzSXit0xOg\nDOjKbnJm8joY0/GemcnxFcmHGZM4pGZV7N5/Ej/tIj51BZRRSTWZxN37OyJHDuM5Lm5bG2V7XsRt\nO4B74ji+l8QfGCDS0YHjRvBqaiE+gJ9M4lRWEImfwaupw6utwe3pwa+tJ37Verx16/BaLgQnAvV1\nwW2wga89eZTB9YZgxct80ZWdTJTeMyKlZ8YkDqlZFVt2PH82QYBzV0BjllQ9D3ffXiKHDuIPDODu\nf4mytgM4h17GPXYc+vuhv59I7DS+G8Gvb8CPn4H4GRzXBS+BX1mLV1+PE+vBKath4DVX4q1bS3KZ\nAbcMv6YGf86cYGVHx8GbN5+22OFBbSqLONx+48rcBWkcurKTidJ7RqT0zJjEIWW0K6ARS6qeh7v/\nJSKt+6Grh8jBVpz2IzhHXsFtb8fp7sbp7oXeGDgRvPoGSA7gdPfglLk4rotXXYNfVYXT3Q3JMpKv\nXk/Hqkv5auQS2rpdml9yufWK+UG3SHk53rz5UFU1YptWtszWLAYREcmrGZU4jDWOYWhC8b6VVZQ/\n/p84HR24rxzG6TiJ094eJAwnOnD6uqC3F9wIXrQBN+nhxmL45RGoLON0dA5fedVNHKhbwJLYYf6k\nZxd1yw0DK1fx1f2V7DodtKnjlM/XdnWx+Z2XQmXloPaqzCsiIoVmRiUOY41jiNZUsPmP1uC2tRJ5\nYTfO08dxO07idHXhHGuH9iNE2o8GlYN4HHyCe0N4HpFYDM9xoLoKv7oav6aWr6zeyK/mGgA6qhv4\nSr3hoytdnEiE1j4A72y72joHhiUNZ9uUNnDzvm3Pav0EERHJq7wnDsaY84AHgGuAXuDbwMettfFs\nv9bQcQy7XzrJh7f+lCULorxvdS2zf7MLp/0YTncM+ntx249B+1HcQ4eC7od4P44TIdnQgOP5RDo6\n8B3wa2uhsgavphISSdyBMxxoah782v0RvFmNUFVF89wYpw/1nN033kjzQlk/QQtAiYhI3hMH4FHg\nJHAl0ARsBxLA/8z2Cw0dM+ADsZ6BYFpm6wH+PLIfv783GPB47BiRgwehswMnkcDBJ9nYiJNMEDlx\nAt+J4NXV49dUQnUNHg5lAwMkz1tEfPlKmmdV0NGT9tqzK2H+fLy589i02JtQF0ShrJ9QKAmMiIjk\nT14TB2OMAV4NzLfWnggfuwf4HDlIHDZdv5yPbH1q0HTMlNZEJe7hl/FPHqfsYCt0xvDj/bi+T7Jp\nDk48TuT4MQC8hll4lTU41RX45eW48TjO7LnEV60iuWIVnbPnkfidT7kDvgNmQS23vHUNXn01ANEy\nJvSFWyjrJxRKAiMiIvmT74rDUeBNqaQh5AANuXixaHV5cNOoERKHJT3tRHb/CqfjNH5fL64D3pw5\nePE4kSNH8X0Pr2kOf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# import\n", "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline\n", "sns.set()\n", "%run ST_Python_02a.py\n", "#import ipynb.fs.full.ST_Python_02a" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import io\n", "from nbformat import current\n", "\n", "def execute_notebook(nbfile):\n", " \n", " with io.open(nbfile) as f:\n", " nb = current.read(f, 'json')\n", " \n", " ip = get_ipython()\n", " \n", " for cell in nb.worksheets[0].cells:\n", " if cell.cell_type != 'code':\n", " continue\n", " ip.run_cell(cell.input)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#execute_notebook(\"ST_Python_02a.ipynb\")\n", "#%run 'ST_Python_02a.ipynb'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Permutation Sampling **" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def permutation_sample(data1, data2):\n", " \"\"\"Generate a permutation sample from two data sets.\"\"\"\n", "\n", " # Concatenate the data sets: data\n", " data = np.concatenate((data1, data2))\n", "\n", " # Permute the concatenated array: permuted_data\n", " permuted_data = np.random.permutation(data)\n", "\n", " # Split the permuted array into two: perm_sample_1, perm_sample_2\n", " perm_sample_1 = permuted_data[:len(data1)]\n", " perm_sample_2 = permuted_data[len(data1):]\n", "\n", " return perm_sample_1, perm_sample_2" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "rain_july = np.array([ 66.2, 39.7, 76.4, 26.5, 11.2, 61.8, 6.1, 48.4,\n", " 89.2, 104. , 34. , 60.6, 57.1, 79.1, 90.9, 32.3,\n", " 63.8, 78.2, 27.5, 43.4, 30.1, 17.3, 77.5, 44.9,\n", " 92.2, 39.6, 79.4, 66.1, 53.5, 98.5, 20.8, 55.5,\n", " 39.6, 56. , 65.1, 14.8, 13.2, 88.1, 8.4, 32.1,\n", " 19.6, 40.4, 2.2, 77.5, 105.4, 77.2, 38. , 27.1,\n", " 111.8, 17.2, 26.7, 23.3, 77.2, 87.2, 27.7, 50.6,\n", " 60.3, 15.1, 6. , 29.4, 39.3, 56.3, 80.4, 85.3,\n", " 68.4, 72.5, 13.3, 28.4, 14.7, 37.4, 49.5, 57.2,\n", " 85.9, 82.1, 31.8, 126.6, 30.7, 41.4, 33.9, 13.5,\n", " 99.1, 70.2, 91.8, 61.3, 13.7, 54.9, 62.5, 24.2,\n", " 69.4, 83.1, 44. , 48.5, 11.9, 16.6, 66.4, 90. ,\n", " 34.9, 132.8, 33.4, 225. , 7.6, 40.9, 76.5, 48. ,\n", " 140. , 55.9, 54.1, 46.4, 68.6, 52.2, 108.3, 14.6,\n", " 11.3, 29.8, 130.9, 152.4, 61. , 46.6, 43.9, 30.9,\n", " 111.1, 68.5, 42.2, 9.8, 285.6, 56.7, 168.2, 41.2,\n", " 47.8, 166.6, 37.8, 45.4, 43.2])\n", "rain_november = np.array([ 83.6, 30.9, 62.2, 37. , 41. , 160.2, 18.2, 122.4,\n", " 71.3, 44.2, 49.1, 37.6, 114.5, 28.8, 82.5, 71.9,\n", " 50.7, 67.7, 112. , 63.6, 42.8, 57.2, 99.1, 86.4,\n", " 84.4, 38.1, 17.7, 102.2, 101.3, 58. , 82. , 101.4,\n", " 81.4, 100.1, 54.6, 39.6, 57.5, 29.2, 48.8, 37.3,\n", " 115.4, 55.6, 62. , 95. , 84.2, 118.1, 153.2, 83.4,\n", " 104.7, 59. , 46.4, 50. , 147.6, 76.8, 59.9, 101.8,\n", " 136.6, 173. , 92.5, 37. , 59.8, 142.1, 9.9, 158.2,\n", " 72.6, 28. , 112.9, 119.3, 199.2, 50.7, 44. , 170.7,\n", " 67.2, 21.4, 61.3, 15.6, 106. , 116.2, 42.3, 38.5,\n", " 132.5, 40.8, 147.5, 93.9, 71.4, 87.3, 163.7, 141.4,\n", " 62.6, 84.9, 28.8, 121.1, 28.6, 32.4, 112. , 50. ,\n", " 96.9, 81.8, 70.4, 117.5, 41.2, 124.9, 78.2, 93. ,\n", " 53.5, 50.5, 42.6, 47.9, 73.1, 129.1, 56.9, 103.3,\n", " 60.5, 134.3, 93.1, 49.5, 48.2, 167.9, 27. , 111.1,\n", " 55.4, 36.2, 57.4, 66.8, 58.3, 60. , 161.6, 112.7,\n", " 37.4, 110.6, 56.6, 95.8, 126.8])" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SdKVQIH0TVBiGsc68GxjGGdppaOmTNYnARh9NnSq0JVDpanGsOAJ7NUehNaof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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(50):\n", " # Generate permutation samples\n", " perm_sample_1, perm_sample_2 = permutation_sample(rain_july, rain_november)\n", "\n", "\n", " # Compute ECDFs\n", " x_1, y_1 = ecdf(perm_sample_1)\n", " x_2, y_2 = ecdf(perm_sample_2)\n", "\n", " # Plot ECDFs of permutation sample\n", " _ = plt.plot(x_1, y_1, marker='.', linestyle='none',\n", " color='red', alpha=0.02)\n", " _ = plt.plot(x_2, y_2 , marker='.', linestyle='none',\n", " color='blue', alpha=0.02)\n", "\n", "# Create and plot ECDFs from original data\n", "x_1, y_1 = ecdf(rain_july)\n", "x_2, y_2 = ecdf(rain_november)\n", "_ = plt.plot(x_1, y_1, marker='.', linestyle='none', color='red')\n", "_ = plt.plot(x_2, y_2, marker='.', linestyle='none', color='blue')\n", "\n", "# Label axes, set margin, and show plot\n", "plt.margins(0.02)\n", "_ = plt.xlabel('monthly rainfall (mm)')\n", "_ = plt.ylabel('ECDF')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Pipeline for hypothesis testing ** \n", "● Clearly state the null hypothesis \n", "● Define your test statistic \n", "● Generate many sets of simulated data assuming the null hypothesis is true \n", "● Compute the test statistic for each simulated data set \n", "● The p-value is the fraction of your simulated data sets for which the test statistic is at least as \n", "extreme as for the real data " ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def draw_perm_reps(data_1, data_2, func, size=1):\n", " \"\"\"Generate multiple permutation replicates.\"\"\"\n", "\n", " # Initialize array of replicates: perm_replicates\n", " perm_replicates = np.empty(size)\n", "\n", " for i in range(size):\n", " # Generate permutation sample\n", " perm_sample_1, perm_sample_2 = permutation_sample(data_1, data_2) \n", "\n", " # Compute the test statistic\n", " perm_replicates[i] = func(perm_sample_1, perm_sample_2)\n", "\n", " return perm_replicates" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true }, "outputs": [], "source": [ "force_a =np.array([ 1.612, 0.605, 0.327, 0.946, 0.541, 1.539, 0.529, 0.628,\n", " 1.453, 0.297, 0.703, 0.269, 0.751, 0.245, 1.182, 0.515,\n", " 0.435, 0.383, 0.457, 0.73 ])\n", "\n", "force_b = np.array([ 0.172, 0.142, 0.037, 0.453, 0.355, 0.022, 0.502, 0.273,\n", " 0.72 , 0.582, 0.198, 0.198, 0.597, 0.516, 0.815, 0.402,\n", " 0.605, 0.711, 0.614, 0.468])" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 0.0038\n" ] } ], "source": [ "def diff_of_means(data_1, data_2):\n", " \"\"\"Difference in means of two arrays.\"\"\"\n", "\n", " # The difference of means of data_1, data_2: diff\n", " diff = np.mean(data_1) - np.mean(data_2)\n", "\n", " return diff\n", "\n", "# Compute difference of mean impact force from experiment: empirical_diff_means\n", "empirical_diff_means = diff_of_means(force_a, force_b)\n", "\n", "# Draw 10,000 permutation replicates: perm_replicates\n", "perm_replicates = draw_perm_reps(force_a, force_b,\n", " diff_of_means, size=10000)\n", "\n", "# Compute p-value: p\n", "p = np.sum(perm_replicates >= empirical_diff_means) / len(perm_replicates)\n", "\n", "# Print the result\n", "print('p-value =', p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A one-sample bootstrap hypothesis test** \n", "\n", " Another juvenile frog was studied, Frog C, and you want to see if Frog B and Frog C have similar impact forces. Unfortunately, you do not have Frog C's impact forces available, but you know they have a mean of 0.55 N. Because you don't have the original data, you cannot do a permutation test, and you cannot assess the hypothesis that the forces from Frog B and Frog C come from the same distribution. You will therefore test another, less restrictive hypothesis: The mean strike force of Frog B is equal to that of Frog C.\n", "\n", " To set up the bootstrap hypothesis test, you will take the mean as our test statistic. Remember, your goal is to calculate the probability of getting a mean impact force less than or equal to what was observed for Frog B if the hypothesis that the true mean of Frog B's impact forces is equal to that of Frog C is true. You first translate all of the data of Frog B such that the mean is 0.55 N. This involves adding the mean force of Frog C and subtracting the mean force of Frog B from each measurement of Frog B. This leaves other properties of Frog B's distribution, such as the variance, unchanged." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p = 0.0064\n" ] } ], "source": [ "# Make an array of translated impact forces: translated_force_b\n", "translated_force_b = force_b - np.mean(force_b) + 0.55\n", "\n", "# Take bootstrap replicates of Frog B's translated impact forces: bs_replicates\n", "bs_replicates = draw_bs_reps(translated_force_b, np.mean, 10000)\n", "\n", "# Compute fraction of replicates that are less than the observed Frog B force: p\n", "p = np.sum(bs_replicates <= np.mean(force_b)) / 10000\n", "\n", "# Print the p-value\n", "print('p = ', p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A bootstrap test for identical distributions** \n", "\n", " In the video, we looked at a one-sample test, but we can do two sample tests. We can even test the same hypothesis that we tested with a permutation test: that the Frog A and Frog B have identically distributed impact forces. To do this test on two arrays with n1 and n2 entries, we do a very similar procedure as a permutation test. We concatenate the arrays, generate a bootstrap sample from it, and take the first n1 entries of the bootstrap sample as belonging to the first data set and the last n2 as belonging to the second. We then compute the test statistic, e.g., the difference of means, to get a bootstrap replicate. The p-value is the number of bootstrap replicates for which the test statistic is less than what was observed.\n", "\n", " Now, you will perform a bootstrap test of the hypothesis that Frog A and Frog B have identical distributions of impact forces using the difference of means test statistic.\n", "\n", " The two arrays are available to you as force_a and force_b." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 0.0063\n" ] } ], "source": [ "# Compute difference of mean impact force from experiment: empirical_diff_means\n", "empirical_diff_means = diff_of_means(force_a , force_b)\n", "\n", "# Concatenate forces: forces_concat\n", "forces_concat = np.concatenate((force_a, force_b))\n", "\n", "# Initialize bootstrap replicates: bs_replicates\n", "bs_replicates = np.empty(10000)\n", "\n", "for i in range(10000):\n", " # Generate bootstrap sample\n", " bs_sample = np.random.choice(forces_concat, size=len(forces_concat))\n", " \n", " # Compute replicate\n", " bs_replicates[i] = diff_of_means(bs_sample[:len(force_a)],\n", " bs_sample[len(force_a):])\n", "\n", "# Compute and print p-value: p\n", "p = np.sum(bs_replicates >= empirical_diff_means) / len(bs_replicates)\n", "#p = np.sum(empirical_diff_means