{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Page Rank and HITS" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.xkcd()\n", "import networkx as nx\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "During with lab we will check the change of results of Page Rank and HITS algorithms with respect to the values of $\\alpha$ and number of iterations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Task 1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "a) Firstly let's make experiment for small network (Zachary or any other small one). Set any 3 distinct values for $\\alpha$, fix the number of iterations, and run Page Rank. Plot results PR values wrt $\\alpha$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ltLSU6667jokTJyIi9OzZE4A+ffrw0Ucf8cQTTxCPx3nooYcoLS0FfWLwq6zH\n9gNUVVWpFWT22H9syQUR+eXbb78tgPz5z38WEbmns+tkYWHx7UNEPhIR6dWrl2zdulVE5NTOrlM2\nItJNRDa0Edppn3MLFiyQ888/v42iJmkReVFEMiKy6ADllhivtxt1sIvI/DbKVRmvKRH5xX7u9Z6I\nJEVkSxvfbRKRQa2e930Rke9+97uyevVqyf5eOigXOnNFVqjMMg0TzvJOrIuFhcW3lyi0sMrzdW51\nWqJp2m4RGQpciB6WyoMeZmoGenSPL4CrgRMymYxpyIG+0hypado6EekDDAbe1zRto4j8G3qiym3A\nn4HvAn1pThvzKPAOsNioQwrdDeBRox7b0c3lX0R3Sp5j1OM5YAH6vqHDuN824FP0KBwjgFOMulUD\nf2nD6MUMUWWoD7NN7DskFzpTkOWrDUhjeVl1wNIWFhYWHSMGumrRME44alSLCiNNzDLjyOY6ABGp\nBh4eNGiQacEIvKBp2jrj+i3oUTPU/VYZb5WloPldFpvbqMc24L42ys40Xp9v47ts/m4cB8IH+3V6\n7pBc6ExBFlS6UMO7u+aApS0sLCw6RgPoZuexWAwMY4NjjJeA+aNGjSow9q0ywOOdW6UO4wJULjJo\n6SvWIbnQmYLMq5zvjIexIntYWFgcCSqAbDP0ws6tzqGjadpeERkB/BTdWOJJTdNWdnK1OoodWoTe\nyg7i3CG50JmCzB+JRHA6ncpRzxJkFhYWR4K9oO+57N27F4xYf8camqZ9Alzf2fU4DDgA5ZwOLQMD\nd0gudGbQ4MLKykrT7wF9Y9DCwsLicFMFLQTZPlmWLb5RHKAHGjZCb2ULsg7Jhc5ckYWrqqooLDRX\n+RUHKmxhYWHRQWpBj1P42WefwTG2RyYidiBH07QDhmsSPQBx4ptIQyMiJcAV6ON2BbBd07QN7bzc\nDpBKpdSqK1u12CG50CkrMhHJwXB8y8sz+1RdZ9TFwsLiW08D6A62dXV1cJSZ3x8IEfkFehSShOhp\nZfZZTYpIqYisRTea+EJEvtfB39JET0+zTPTknstFZLy0nY5mdDISmVe366vfRqsqXwAeVeVExC8i\ns0RklYisEZGHReQ7rW+QFdU/Y1x3bMkFEQmKiAwYMEDGjh0rImLtj1lYWBwRROT7IiLPPPOM/PCH\nPxQRWd7ZdWoPInKqiEg6nZaGhgblYHxnG+X+IiISj8dVmQoRcR7ibwVE5JX9ODy/ISJ+o5wmIv9v\nP+VeFZGBxTCeAAAgAElEQVR/F5Hd+/n+Z8Y9REREvc2qQ4flQmftkQWghUOcFWfRwsLiSFELepBb\nI47fsWK1OARg6dKlXHLJJepcmey7KhsGevT6LVu2gO5Mffoh/tYjwHmVlZXccMMNDB06lOuvv57d\nu3cDlAEPGuWuAX6eTCb57W9/y1VXXcXtt9+u9h7PBf4KdH3nnXcYO3Ysw4cP5+GHHyadTgMsEJHR\nB6hDh+VCZwmyMLTIEGoZelhYWBwpykGP+l5eXg6Q37nVaRsRGSgii0VX672FHtWDaDSKiggPDAKq\njUXNmyJyL4YA8Hq97Ny5U5VbIyILRKSniNhEZKyIPCci640V3DQRyTV+9zRgQkNDA0OGDGHr1q3M\nmDGD8vJyzjrrLPXb/yEivYB/A7j22mv5zW9+Q7du3fi///s/zjrrLDPtzKuvvkpZWRkDBgxg0qRJ\n3HnnncyePVvV69Y2nlupLo8tuSAio5PJpAAyd+5cEZFVnV0nCwuLbyciUiwi8vnnn0tJSYmIyD5h\nj0TfZ8qTtveDjnT9NBG5Zz/qOHnggQekrKxMRESSyaREIpE2y/Xo0UNWrlzZ1lf7U/W9JSIuEblP\nRGThwoUyZMgQSafTIqKrNE866SRZskSFZZSbRGShiMiuXbskmUyKiEgmk5Fu3brJ5s2bJZPJyMCB\nA+W+++4zf2TNmjXi9Xqlrq6uxY8D6rdyjHbosFzoLKvFPOW9bYQhqeykelhYWHz7qQY9UkRNTQ1A\ngYjktIoBuEKSiRPIdcZFpAI9okQ5sBt9fIqhG13UGu8jWUcCPZ5jBN2UvFG9ttOC8GfAL5LJJPff\nfz8vvPACoVCIW265hZEjR2Y7DjNnzhy2b99O165d2bJlC1deeSUTJ04EdL+sTCbDrFmz2LhxI5Mn\nT2bcuHEAXcvLy7n77rtZtWoVJ598Mrfddhs9e/YcCVwO9Ad4+eWXmTRpkhlp32azUVZWxtq1a7ni\niisATgR+Cfy0W7duiAgff/wxy5YtI5VK0aNHD/bs2cOGDRt48803zYcbMmQIAB9++CFDhw4FPfe2\npmkaujwz4z92WC60S5CJiA89k+leTdPavLmI9ED3OP9M07TGrPM5xvm6rD+q34rqYWFh8U2gaVpC\nROqCwWAwmUwSj8dtbrc7iCHgRF8RFdfOvxbAbfP6SzS3r0TzBbEF8tA8PjSHE83l0Q+HE5wutFwX\nWq4T7A40p0s/n2NHy8mBXBeaprk5SGJI0U3mfykiTJgwgc8//5y5c+eybNky7rjjDkaOHJlt3Uc0\nGmXp0qWMHz+eESNGMGXKFHr37s3gwYMREaZMmUL37t3p168f1157LePGjaOuro7hw4fTp08f5s2b\nx6xZs3jqqae49dZbQR/XuwPs2LFDJcEEPQ5j33A4zNatW9W5sKZpVSLyP8B/PfTQQ8yYMQOA3//+\n9wSDQT7++GPC4bDa46oFopqmdQ+Hw6hgwGQJMuPZ1BZXh+XCAQWZiOQBtwHTs869DPxU07TPjM/D\ngXvRIy+DbiY6D3gdmAucZ5xvEJG7gDuBsMpQasVZtLCw+Aao1zQtmJeXR21tLW63O0DzHkyQxqQb\ngKYkmdok1H49JVHe/KdBDwR8ML4HhNevX8+KFSv49NNPKS4uZvXq1Wowp6mpSTkOk5eXxwUXXMCz\nzz4LwKZNm3jllVdMQVZYWMhbb71FJBJh8eLFxGIxlixZgs/nY9myZdjtdubNm0dJSYn6/R0YAiMr\nOwBAD9DjIRpCCSBiCN4xANdffz3nnnsud999N9OmTWPkyJHmPUTPdO3HcH5udZ80YLPZbGQyGdDl\nUCNfQy7sV5CJiBdYBZyWSqX49NNPKSkpwev1jgXOFj2nz6nAq6AnSauurubEE090aZo2H2OjMpPJ\nEI1G8fv9fmAe+jL2M1VhK/K9hYXFN0AUdMtFY7D2Zn2XpzldW/PmPtmdZNydiTUg0QiZSC3SUIvE\no0hTEonHkMY40piEZAJpTCCNSSTVqH9ONUE6hWQyaDZbpo30JW1RArB27VoGDBhAcXExoAc4VsYT\n8XjcjHjv9XpN1R9A165dqazUha6IMHv2bBwOh5nqpb6+nnXr1jF69GjlfIzb7TZVlehCbA/oVo8f\nf/yx2SYAGzdu5LLLLlPnJhsHoGerPuGEE3jooYd4/fXXef311/nhD39IKpXiiy++oLS0NAfwfvnl\nl9TV1XHaaaepSxOAIzc3l8bGRpxOZy66ujbcUblwoBXZz4HTPvzwQy699FJEhEgkwm9/+1vGjBnj\nBf4Hw4LlN7/5DXfccQehUIji4mJefPFF/H4/ixcv5t5778XhcBAOh3nhhRcIh8PjgVfr6/VM47p8\n2zftuIWFhcVhpB5arDpMj1tN07YDvUVEw+UJ5Lg8+YSLCtBjMnZDz73lNa7xoztUq8ODHs3dD7jR\nVyC56KuO9lAD+sBdWVmpVjIUFRWxfft2AGKxGE6n7haWm5tLKqUHwkin06xfv57x48ebnw0BgM/n\nw2azUV5enh0sGdCtN5XAAHoDq4Fzx44dy1133cVNN92E2+1m3bp1rF69mkWLFrWocGNjI1dccQWL\nFi0iFArR2NhIU1MTXbt2JRgMMnLkSB577DHmzZuHiLBw4UIGDBigMj7vMNrI73K5SCaT+P1+L7oa\n0n9Y5YLo5pp7RURGjRol//u//ysiIu+//7706tVLUqmUaXnywQcfSM+ePaWiokJERK677jq5/fbb\npby8XE488USJRCKSyWTkxhtvlJ/85Cfqsm1PPvmkAPLZZ5+JiEz5WhW2sLCwOAAi8mcRkbKyMnn9\n9ddFRL7f2XUCEJG+IiLV1dWSl5cnV111lcyfP1969Ogh+fn5kkgk5IYbbpBrrrlGRETuvfdecTqd\nUlZWJv3795fjjjtOqqurJZVKicPhkC1bmpM09+rVS55//nn5+9//Lm63W2bPni0zZ84Ut9stY8aM\nUcU2i8hJIiKJRELOPPNMOeGEE2TixInidrtl+vTppgXjBRdcsHPbtm2SyWRk7Nix0rt3b5k2bZr0\n69dPzjrrLGlqahIRkbfffltCoZCMHj1azj77bHG73dnWlAtFZKuISElJiWzbtk1E5CSjLZZ0VC7s\nz4+sGCgsLy/niy++4PLLLwfg9NNPx+VyqXhlADz33HNcc801FBQUAPCjH/2I119/nY8++ojevXvj\n9XrRNI2rr76atWvXqstCaoZg7ZFZWFh8A5grH2PsCRy4+DeDpmmbgTdCoRDr1q2juLiYmpoali9f\nztSpU6mvr2fChAlMmjQJ0NWHp5xyCueddx7Tp09nw4YNhEIhbDYbTz/9NCeffLJ575kzZ1JSUsKI\nESN47bXXiMfj+Hw+1qxZQ9++fVWxfCOq/oNOp5NVq1Yxd+5cevfuzauvvsoDDzwAQFNT05dvvPFG\n4N13312naRrLli1j9uzZBINBbrzxRlasWGGqLocNG8ZHH33EOeecw7nnnstnn33G2WefDboK838w\n9uS8Xm/rjN3hwyoXRGSQiMj69etl1KhRLWz/zzzzTFm7dq35eerUqbJ06VLz8+bNm2XgwIFSWVkp\nXbt2leXLl8uHH34oV155pYwePVoVq/nv//7vbD+C/fK1HsTCwsICEJHfiohMnjxZHnvsMRGRGZ1d\nJ4WIdBORDW0Mf/ucW7BggZx//vkHGjLTIvKiiGREZNEByinnsNuNOthFZH4b5aqM15SI/EIMTd1+\nWCgiJ4juqN2atSJyivFbb4mIDBkyRN5+++0WhVrJhbPb24b72yOrAz3IprLrV1RVVdGlSxfzc+sy\n6vv8/Hyee+45br/9diKRCJWVlaa/A5BIJBLk5uZis9kYNmwYa9as2V8d5xiHhYWFRUcxI+Ab41Ww\nc6vTjKZpu0VkKHAhelgqD3qYqRnoRnNfAFcDJ2QyGdOQA91oYqSmaetEpA+65fj7mqZtFJF/Q8/D\ntg34M/BdoC/NPluPAu8Ai406pNDdAB416rEdPdLGi+g+cXOMeqwCNm97e/Xcik8/wRMK0/eii98D\nrtA07UMAESlDD2tVjL5v+DnwRpb7VQSagzhfeOGFvPzyy7zzzjtkywUO4rqQzf4E2VcAJSUl7Nmz\nh6qqKvLz89m1axe1tbV0797dLDhw4ED+9Kc/MW3aNABWrlzJGWecAcCZZ57JK6+8wieffMKZZ57J\n1VdfrS6LNDY2mialWeFXLCwsLI4ENQCBQEAJsqMqTJWmm+ovM45srgMQkWrg4UGDBpkWjMALmqat\nM67fAmzJut8q4+0Hxqv5XRab26jHNuC+NsrONF6fF5Hbanfs4KNXX6H/D8cBvKaEmHEPAd7Yz6OC\nIaDcbjfxeNw0ZHE6nWTLBaDdgqHNPTJN02LAaw6Hg6lTp/L973+fxYsXc+6553Lddddht9vZtGkT\nu3fv5sILL+Tdd9/llltuYf78+dx3331cddVVgB4z6/7776esrIyHHnqIrl27ArwLNCWTSfMPYgky\nCwuLI0wlQEFBgTJXDx+4+FHHS0DlqFGjmD59OuipTx7vpLocH63STf69+QUAXx7i9THQBVkikcDr\n1T0hnE4n2XKBryvIDO4G+PWvf82NN97Ili1bmDNnjvIGZ/LkyVsff/zxT30+H++99x5ut5uGhgbe\ne+89evbsCcDNN9/MP//5T1atWqVCpUTRl8jOrOygbNmyZQn6kretY057H8bCwsJiPzRAizBVx0xO\nMgBN0/YCI4BFwO+B0Zqmreyk6pRGjSgdXj0B5vZDvD4GurFHNBplyZIl1wPaqaee+nm2XOAQBNl+\n/cg0TXtDRK7WNO3RcePGKUFk8t57710HXAr0DoVC/OpXv9rnHo888kiLS4CzNU2LiIgrkUhkS14r\nRJWFhcWRpIU6CzikfF1HA4Z14fWdXQ/ghIbyPQD4uxSBvgd2KNQDeDweYrEYNK+OW8uFry/IADRN\ne0xEXgMmAjvRN++eBi4CBqAvb7+HvnI6Hb2z7EbfXPxvYCywC1gCPGdsKALkttKFxttbYQsLC4sO\nEAdwuVwkErpM69zqHJuIiCfd2NgtVl2NlpODt6AgjW4EcihUga7mNfKYKVeI1nKhsY1r2+SgQYM1\nTdsJ3NXq9G/bKLqi1edZxtHm76ZSKdPvACPVtYWFhcURIg4tVgHHjCATETuQo2naAVcoosdBTLQz\n4n5HOT5SaagV8/Ox5eTs1NoXUzIbM7ajkT9NRVlpLRdSbVzbJp2VWDMnnU6bEZ05hCWkhYWFRQdo\nhGaDAvQwUkc9IvILdFVcQkRek32zQ6tcamvR956+EJHvdfC3NBG5SESWiZ7cc7mIjJeWOdpOzaTT\njLzxZwy75joAj+h+a38WkaUiMkRE/CIyS0RWicgaEXlYRL6TdY8agHA4rPYr1YqstVxob5ivTstH\n1lryWqpFCwuLI0kj6LEKGxt1mda51Tk4ogdmvyeTyRCLxfD5fKOBW4CbWxX9LTDY2F86DlgqIj0O\ntoJr9VsB4A80ZytRXASsFJHva5rWAPxn6LgSQseZ0fMLgexwX5exL0OBa0Tk55qmLcTwU/b7/Rix\nFZVwPuZWZJYgs7Cw+CZJQrOvEseAIEN3jmbp0qVccskl6lxZG6uyYaBHr9+yZQvoztSnH+JvPQKc\nV1lZyQ033MDQoUO5/vrr2b17N+jOzQ8a5QaJCJMnT2bixImMHz+eSy65hIsuuogXX3zRvNk777zD\n2LFjGT58OA8//DDpdBpggYiMZt9wYco5/ZgXZJ1VDwsLi38NYtDC2MN74OLfPCIyUEQWG2q9tzBS\nYUWj0Wxf20FAtRHR6U0RuRdDNef1etWeE8AaEVkgIj1FDwI/VkSeE5H1IvIXEZkmIrnG754GTGho\naGDIkCFs3bqVGTNmUF5ezllnnaV++z9EpBeQ0TSNd999l1QqxaBBgxgxYgTnnHMOw4YNA+DVV1+l\nrKyMAQMGMGnSJO68805mz56t6nUrWSsyI9bi116RdQoielT9s846S4XY+s/OrpOFhcW3FxHJFxHZ\nvXu3dOnSRUSkptX3pSKS12o/6JuqmyYi97QRn1BERB544AEpKysTEZFkMimRSKTNcj169MiOMp/N\n7v3c+i0RcYnIfSIiCxculCFDhpjxb9PptJx00kmyZIkKyyg3iR7DUUpLS+Wvf/2r7N69W7Zs2WJe\nk8lkZODAgXLfffeZP7JmzRrxer1SV1enTp0mIvLZZ5/J8ccfLyKy22iH1nKh3QucztojA8iOGWZZ\nLVpYWBxJEqBbLUajUdBziGWzIt0UP8Fmd8VFpAJd/VWO7k5Uib6iq0eP2RhDt7xTRwI92EMEPS5h\no3ptpwXhz4BfJJNJ7r//fl544QVCoRC33HILI0eOpKmpyUyEOWfOHLZv307Xrl3ZsmULV155pRnD\nNp1Ok8lkmDVrFhs3bmTy5MnK/7dreXk5d999N6tWreLkk0/mtttuo2fPniOBy9GTHfPyyy8zadIk\nM3GnzWajrKyMtWvXcsUVVwD0EUPQ79mzh5///Od88MEH2O12vvOd7/CXv/wFgA0bNvDmm2+aDzdk\nyBAAPvzwQ4YOHQp6jrfs3HAtVsdZcqHd1pdHiyA7JiyILCwsjlmaQDf2MDIvmymSRV8RFW98diqA\n2+70l+Q4fSUOVxCHO4Td6cdmzyUn10uOw4PN7iTH4cJmd2GzO7Hl5BqfnWi2HDSbHZvdhaZpbg4S\n+FZ0k/lfiggTJkzg888/Z+7cuSxbtow77riDkSNHkslkTEu+aDTK0qVLGT9+PCNGjGDKlCn07t2b\nwYMHIyJMmTKF7t27069fP6699lrGjRtHXV0dw4cPp0+fPsybN49Zs2bx1FNPqShNJUB3gB07dnD8\n8cerqm0G+obDYbZu3arOfUfTNGpra0kkEvTq1Yu//e1veDweLr74Yu666y5+9KMfEQ6HCQQCoAv9\nqKZp3cPhMBVGNBCM/Umfz6cmFX4RMU0VlVw4FDeCThVkmYy5EHMcqJyFhYXF1yQF4HA4lCDLyfou\nmEkl3ACZVJLGVBKilV/LAu2MK54B2uVf9T0gvH79elasWMGnn35KcXExq1evxufTo2g1NTWZTsJ5\neXlccMEFPPvsswBs2rSJV155xRRkhYWFvPXWW0QiERYvXkwsFmPJkiX4fD6WLVuG3W5n3rx5lJSY\nVoc7yPLrMlZIAD0AGhoalFACkEwmg8/n49577+Xaa681o3D8+Mc/5sEHH2Tq1KlEIhGV6dqPMba3\nuk89EHW73d5MJoNhbWmGDFNyQURsmqa1S1vXWYIsk5OTYzM6FFgrMgsLiyOLgK4uk33THOblONxb\nB0z83+6Zprg7lWwglWygKV5HU7yGVGOUTCpJujFKpilOOpUkk0qQbkqQSSXJpBvJNCXIpBuRTAok\ng6bZMpqmtccPqgRg7dq1DBgwgOLiYkAPpaXGx3g8bgoMr9drqv4AunbtqoIgIyLMnj0bh8Nhrmrq\n6+tZt24do0ePNo0o3G63qapEF2J7QLd6/Pjjj802Adi4cSOXXWZa1A+z2WzYbDZuvPHGFg8Rj8dJ\np9N0796dVCrFF198QWlpaQ7g/fLLL6mrq+O0005TxT8EIpqmeZXwNARZa7mQQzu3nTpLkDU6HA5X\nQ0OD+nwsmMJaWFh8C9E0bTvQW0S0nFxPICfXk+/0FxUARej7OUH0fZw8wI8ecFgdHvT9Nj96tBAH\n+sS8vc68pil6ZWWlWslQVFTE9u3bAYjFYmaqk9zcXFIp3ZgvnU6zfv16xo8fb37Oz9ez0/h8Pmw2\nG+Xl5dlm7gAUFRVRXV2tPvYGVgPnjh07lrvuuoubbroJt9vNunXrWL16NYsWLWpR4UQiwUsvvcSl\nl16Kpmkkk0keffRRxowZQzAYZOTIkTz22GPMmzcPEWHhwoUMGDCAYDAIsEPTtD0i0gAUKUFWUFDg\nZ1+54MBQCR+ViEjNxRdfLP369VPWKQ91dp0sLCy+vYhIjrLE0z8eHdnnRaSviEh1dbXk5eXJVVdd\nJfPnz5cePXpIfn6+JBIJueGGG+Saa64REZF7771XnE6nlJWVSf/+/eW4446T6upqSaVS4nA4ZMuW\nLaa1YK9eveT555+Xv//97+J2u2X27Nkyc+ZMcbvdMmbMGFVss4icJCKSSCTkzDPPlBNOOEEmTpwo\nbrdbpk+fblowTp48uXHbtm1SVVUlRUVF8v3vf19mz54tp59+upSWlkp5ebmIiLz99tsSCoVk9OjR\ncvbZZ4vb7c62plxoPPc6EZG+ffvKxo0bRUSGtyEX2p1qp7P8t2Kt9LFHnU+HhYXFtwobYK54OEos\npTVN2wy8EQqFWLduHcXFxdTU1LB8+XKmTp1KfX09EyZMYNKkSYBe/1NOOYXzzjuP6dOns2HDBkKh\nEDabjaeffpqTTz7ZvPfMmTMpKSlhxIgRvPbaa8TjcXw+H2vWrKFv376qWL4RVf9Bp9PJqlWrmDt3\nLr179+bVV1/lgQceAKCpqenLP/3pT/adX35JOBzmn//8J3379uWzzz7jyiuv5P3336dLly4ADBs2\njI8++ohzzjmHc889l88++4yzzz4bdBXm/xi/awYONoxA8thXLviPTKsfJkTkk6lTp0pRUZGSvEs7\nu04WFhbfXkTELaL7YdntdhGRoya+q4h0E5ENsi/7nFuwYIGcf/75bRQ1SYse+zAjIosOUE45h91u\n1MEuIvPbKFdlvKaS0YhkDH+x/fCSiPQX3VG7NWtF5JSsZ35GROTiiy+WF154QUTkctlXLnxn/63W\nks7aI0tkBe+EfX06LCwsLA4ndtAtAA2jh6MmaoSmabtFZChwIXpYKg96mKkZ6NE9vkBPSHxCJpPJ\ndltKACM1TVsnIn2AwcD7mqZtFJF/A/YC29DTan0X6IuecgvgUeAdYLFRhxS6G8CjRj22o+cJexF9\nn2pJpKJiXP2uXex4bx1n/eTGD4CVxv2LgD9omvY+gIiUoYe1KkbfN/wceKOVOf1eaBGmqiv7yoV2\n2050mrFHqwp7OqkeFhYW/xrkgG4QYQiydkdW/yYwUqEsM45srgMQkWrg4UGDBmUnnnxB07R1xvVb\ngC1Z91tlvP3AeDW/y2JzG/XYBtzX+ryI/GPXP/4xbsPSpzh59BiAv2ua9pP9PIsAb7T1XRZfARQX\nF7Nr1y7Qfdlay4V2C7LO2iNrzIpCDcdY2nELC4tjDn0Zlkop5+KjZkXWTl4CKkeNGsX06dNB3+N7\n/Bv8/b41O74EIFzaE+D9r3m/coBu3bqpwMQF7CsX2u2W1VkrsrjL5SKdTmMEiTy6N/UsLCyOdY7q\nFdnB0DRtr4iMAH6KbgTxpKZpK7/BKnynftdXAAS7d4e2V3iHQi3oOckMV4AA+8qFdm85dZog83h0\nbWIsFiMQCFiCzMLC4kiSCy32yI4aY4/2YlgXXv9N/67oIbxOrN+zBwB/UVeArQe86ODEoUU0ETf7\nyoV2bzl1lmoxofS8RkoFS7VoYWFxJHEBKhwSHCQGokULusdranxNsRi5Xi+uYLAeIxrI18DMD2fs\niTnZVy4c9XtkURVHrK3oxxYWFhaHGSdAY2OjipLReODiRw+GafxBB3XRXQyORBqak+r1fSwC3YrR\nNO3jQwnoux/M/HCGIPOxr1wI7O/i1nSWarFKhVKprKyktLTULSI57YxNZmFhYXGoOAGSyaQSZMeE\nalFEfgHMA9wi8lfgMk3T9smlBjyLbn6/Q0SmaJq2ogO/paGb3k8CjgN2Ab8H8ut37wIg3KsXgE1E\n7kI3y08aRwp933EzsBbddWA0+kp4I7BQ07SPsn4uAhAMBqmrqwN9MdNCLvTq1augvXXvdEFWU1ND\npqkJm9MZQs/7Y2FhYXG4yQVdZXWsCDIRORW4J5PJEIvF8Pl8o4FbgJtbFf0tMNhQmx4HLBWRHpqm\ntfsZRSQA/AE4r9VXFwE7IpUVOH0+Bl72I4AzjKO9DAWuEZGfa5q20DiXBD12pLEiy6WVXKA5c/RB\n6SxBVmcEkKSuro5MKgVOZz6WILOwsDgyuEBXLRopUY6FPbIhAEuXLuXJJ5/k9ddfBygTkVCrVdkw\n0KPXr1y5kj59+hQApwPvHsJvPQKcV1lZya9//WveffddzjjjDGbPnk23bt2O69a3H03RKLkeL+vW\nreP555/H4XDgdDrJzc3FbrfjcDiYPHkyfr+fd955h/nz51NdXc2VV17J1VdfTU5OzgIR2aJp2l8x\nBFmWatFFK7mAEYG/PXTWHlm9368bKjY0NJBJp0H3IrewsLA4EoRAT0zp9XpBz4l1VCEiA0VksegB\ndd9Cj+pBNBrNdhIeBFQbIZzeFJF7MfaSvF4vO3fuVOXWiMgCEekpIjYRGSsiz4nIehH5i4hME5Fc\n43dPAyY0NDQwZMgQtm7dyowZMygvL+ess84imUzSrW8/PPm6pi+TyVBbW8vOnTv56KOPWL9+Pb/+\n9a9ZuHAhNpuNV199lbKyMgYMGMCkSZO48847mT17tqrXrcZrI7Qw9sillVzgaDcCFJFLamtrBZB7\n7rlHYjU1IiJjO7teFhYW305E5CoRkd///vdy2WWXiYg82er7UhHJO0LGEgermyYi9+wvgOEDDzwg\nZWVlIqLHioxEIm2W69GjR3aU+Wx27+fWb4mIS0TuExFZuHChDBkyRNJGPMV0Oi0nnXSSLFmih2Xc\n9NKLkslk9rnJ8uXLxe12y8aNGyWTycjAgQPlvvvuM79fs2aNeL1eqaurU6eKRCQsIlJRUSHhcFhE\npFZayQURebm9bdhZqsWKQCCAw+GgsrISTU8U16WT6mJhYfHtR1+G1dervFgNrb5f0ZSIn2B3uuIi\nUoGeJ6wc2I2+5RFDX8XVGu8jWUcCiBrvm9BXG01AYzut+34G/CKZTHL//ffzwgsvEAqFuOWWWxg5\nciRNTU1mIsw5c+awfft2unbtypYtW7jyyiuZOHEioDt7ZzIZZs2axcaNG5k8eTLjxo0D6FpeXs7d\ndyzhksYAACAASURBVN/NqlWrOPnkk7ntttvo2bPnSOByoD/Ayy+/zKRJk8zEnTabjbKyMtauXcsV\nV1yBt7BA5W5bDFwCDI7FYkybNo358+fTv39/du/ezYYNG3jzzTfNhxsyZAgAH374IUOHDgU4ESM8\nlt1uV/nVcmglF4DCdrQd0HmCrEbTtGyLFdADTFpYWFgcCQKgq+kMp1szV4joK6Li566dCuB2+v0l\nuT5fiTsYxJ0XwunzY3fm4vB4yfV4sDud2F0uHC4XdqeTHEcuduO9zZ6DLceO3eVC0zQ3B9mLExE3\nerBeJkyYwOeff87cuXNZtmwZd9xxByNHjiSTyaiwWkSjUZYuXcr48eMZMWIEU6ZMoXfv3gwePBgR\nYcqUKXTv3p1+/fpx7bXXMm7cOOrq6hg+fDh9+vRh3rx5zJo1i6eeeopbb70V9AzV3QF27NjB8ccf\nr6q2GegbDofZulX3ffaEwgCfaJr2PyLSFxj80EMP4XK5mDFjBuoe4XCYQCAAutCPaprWPRwOq3Qt\noG8j6dIrJ0cJMjv7yoV2B8roLEEWA12nG4lErBWZhYXFkSYfdGu4vLw8gOqs74KpZMINkEomSSWT\nRCsrqWnjJu3lP55+BvRAwAfje0B4/fr1rFixgk8//ZTi4mJWr16N8qlqampSBirk5eVxwQUX8Oyz\nzwKwadMmXnnlFVOQFRYW8tZbbxGJRFi8eDGxWIwlS5bg8/lYtmwZdrudefPmUVJSon5/B4ZQb5UL\nrAfoe1WGUEKz5QBsF5FCYFw6/f/Ze+8wycpqb/t+aleOXZ17cmBmGECCgMIhh08Q0WPgoIhyFBVQ\nfPX7PB4MIGdU8FUQFcMHgnpQEBUMxyMm5CCvARAcyRlmhomdU+Ww93r/ePau6e7pUMN0dw3Mc19X\nXd1VtfeuVTVz1a/XetbzWzZf//rX+cQnPlHLGL1riJ77lkBPeR53Hff1bNAZma17JCwm6AK7sUbW\nKCEbBUgmk2QyGayAH0xGZjAY5o5mgIGBAQ4++GBwBzu6NAXCkefPuenmhZVCIVLKZChlMxSHR8gP\nD1HO5aiWSlTyOSqFgv69WKRaLFItlbDLZSrFInaljFOtIo6D8vmcOvfFLgF44IEHOOyww1iwQH8N\nRiIRKhWtg4VCoeZ4H4vFaqU/gM7OTq8Mh4jwmc98hkAgUBv1Mjo6yoMPPsjrXvc6z5qLSCRSEx60\nqHSD7np85plnap8JwCOPPMI73vEOANr10M4FwP8Cgr/5zW/I5XK8973vrcWzcOFCqtUqL774IsuW\nLbOA2ObNmxkZGeGQQw7xDnuKyTOycbrAy2BD9DDgtLa2+np7e/GHwgBLZzjHYDAYXipTrpG56z6r\nREQFo9FkMBptSXR0tKLnbHUBKff8JnS5Kz7mFkW3jifQfoEBdAdeveYOQ6DncvX399cmWHd0dLBp\n0yZA+w66e98IBoPeFz+2bbN+/Xr+5V/+pXbf24cVj8fx+Xz09PSMnfkFQEdHh2fUC7AK+Ctw+pln\nnslVV13Fxz/+cSKRCA8++CB//etfue6668bGe6Z74/rrr+fcc8/1SrW/BVamUqnVxx9/PN/97nf5\n/Oc/j4jw1a9+lcMOO8z73LcopbpFxAfjMjLFBF0AUiIS2p39cFMiun3zGyLyJxG5Q0TOExFrzPNK\nRN4qIj8Xkb+Ibh890H3uUNFTR78nIp92U1LvvJ6zzz5bVq9eXeus2eNgDQaDYRJE5B4RkTPPPFP+\n67/+S0TkdY2OCUBEDhIRGRwclKamJnnf+94nV155pSxatEhaWlqkWCzKRz7yEbngggtERORrX/ua\nhEIhOfnkk+Xggw+WxYsXy+DgoFSrVQkEAvLEE0/UugVXrFghP/3pT+Uvf/mLRCIR+cxnPiOXXHKJ\nRCIROe2007zDHheR1SIixWJRjj32WFm5cqW8853vlEgkIhdffHGtg/Hcc86Ru++++w4Rka1bt4pS\nSv7+97971zlbRD4nInLvvfdKOp2W173udXLSSSdJJBIZ2035Vfd9KxERx3FE3xVxH5+oC131fI7T\nZmQici7aomQsbwDeLyJnoNPD23EV2uUY4AMisp1dy4VXisiRSqm/AyNNTU3tXrOH49htIuJ3J5Ua\nDAbDbNIO0N3dTWdnJ+y56e2soJR6XET+J51On/Lggw/ygx/8gKGhIX75y19y++23Mzo6ytlnn10r\nJ4oIa9eu5fWvfz3JZJK3vvWtpNNpRIRbb72VNbr8B8All1zCkiVLOPLII/n973/Pf//3f5NMJrn/\n/vv5wQ9+4B3WopR6VkS+FQqFLr7nnnv48Y9/zHPPPcdvf/tbTjjhBABGuru58667OOSww4onnXQS\nlUqFT37ykxx++OGgy7T/DdwJ/OvRRx+95Omnn+amm24C4Ic//CFdXV2gP/P/PcNHMk4X0FnwS09y\nRGStp5jf//735YQTTpD3vve9snnzZk8pvy4iV4uI9Pb2ysUXXyzHHXecfOMb36jtQyiVSnLttdfK\n+eefL3fccYd33rDovQv3ffrTnxbLsqRarUp+eFhEZPFLDthgMBimQNy9VMuXL5fnnntORGRRo2Py\nEJEuEfmH7Mouj33lK1+RM844Y5JDa9gi8gsRcUTkummO+7778wtuDH7R1bNxePvG7GpVHNuuikjf\nJNe6eMx7WS56o/ZEHhCRtWOOs0R0psf4jGycLojIifV8htNlZB8HuPHGG7nxxhu55pprePjhh3nD\nG97Aww8/jM/n+1/uC3P66adzxhln8KUvfYn/+I//AODDH/4wn/70p8lms5xzzjl86lOfoqWlhaOO\nOioFnA70tbS0YNs2mUwGlcsRSaWWoLtoDAaDYTZJgLY+crsW9xpnD6XUDhF5Ldqw9zXodbdWtPHu\nlcCLwPuBlY7j1Bo50K39xyulHhS9nHMk8JBS6hFXAHqBjcCvgaOAg9BrUQDfAe5D7wnDrYRdKiLf\ncePYBBw+tGnT5b/9j8t47Xvfx34nnbzDPeerwBnoRpWfAb8a8142isjJwMnoilwE2AD8z4Q9dX7Q\nLiFutulV4sbpQpP7j/WS8ZR3zZo18swzz9Rk9aijjpJ77723dv/uu++u7ToXEXn44Yfl4IMPFhGR\nI444Qh577DEREfnABz4gN9xwg3fYhSLyo+uvv14A2bZtm/Q8/bSIyLv3KGiDwWCYgPfXv+M4EggE\npFAoiIxZ5385ICIXiIjcc8898s1vftP7Hp247DPbr/n2jffdK99/+1ly99VfEhH51cxn1X3tmIhI\nPp+XYDAoIlJwHx+nCyLyznquN2lGJiJRoLVYLDI8PMzq1atrz61evZqNGzdy9NFHA/Doo49y7LHH\n7vI8wHnnnccb3/hGjjzySJ588kk+//nPe4eVgexYXy23tvsDEakVbwHUmD8/DAaD4SWQAt3GblkW\n4XB49GU4Muq/gCtPOOGEVnfdygG+N8evuSzb1wtAvK0NdHYHgIichs7cht3bvUqpe3fj2lmAarXq\nbQsIe+XFCX6LdbXgT2saLCJea2SNSqUydmMbIoLjOJM+39vby+LFizn66KPJZDL86U9/8g47Ahge\n63T8iU98AqXULjdgXT1vxGAwGKagHfRmaPc7Z2D6w/c+lFK96Ea669ANeK9TSt09xy+7LOe6ccTa\n2mGMkAGvHdn60MXb/vGjSzM9T12NLjXWzVe+8hVA/3ERjUbZtm0bSimuvvpqJjjgp+q53qQZmVIq\nLyKFSCQS8XyvWlu18/Hjjz8+1saEpUuXct9999Xue88Xi0VuuOEGNm3aRCQSYeXKlXz5y1/29jwc\nBvy6uVkb3g8MDNSubzAYDLNMM+g/rDs6OuBlNC5K9H6rONp3sAO9X6sVeLWIHIteg0q4jyXRA0SD\n7k/v95h78/a5+di5VubhDca00SNWMkB6/9PPYOlrjyKpN2q/RURWo9cXj3PsMsXR7UTSSwDiIrIK\n7U+ZVUo5TIO3ITubzRKPx8nn8wAMDw8zVhfc9zUj0zV73AO8/s1vfjNf+MIX+OIXv8iPf/xjbNvm\noIMOqh106qmn8qEPfYgHHniAtWvXsm7dOt7xjneglKJarZLNZolEIgwMDNRSRvQiZY/7n4qenh7a\n241DlcFgmBNioP/Cd//aP1JEHmb3TYFH3d8r6C9+GXMDLRDezXJ/htACEkQLkrdx2vs9gRaptHtr\nHnO/gzozklnAz049iLqvT2rBAlILaruojnNvAKSXvpb00td6dz/q3gAcEelBT5geRH++fe7vA8DI\n/fffD+yc2O2Nqenp6WGsLlCndeF0QvZ94PVXXnklF198MS0tLRxwwAHccsstKKX48Ic/3BOJRJqv\nvvrqwA9/+EPOO+88uru7ede73sWFF15IMBjkiiuu4PDDDyeVSuH3+7n55pu9a98F9Lbpuit9fX2c\nc8oplAt5AuFIUik10ZnaYDAYXipxwJuy7D12yNSH7z2ICOVymZGREbq7u+nu7mZ0dJSenh5GRkYo\nFArk83mGh4cZGBggl8tRLpcpl8sUi0XK5TKlUolMJkM+n6dUKtVc8sfi8/nw+/34fD4CgQCxWIxk\nMkksFiMSiZBMJkkmk8TjcVKpFNFolEQiQUdHBx0dHSSTSRKJBJ2dnTQ1NfmCwWAX2hVlUo466igA\nNm/eTDqd5qCDDvo1cOZ3vvOdN2UymV8CnsnwHmdktwH/nE6nz7n11lt3eXLJkiUXOo4TAX508skn\n8/TTT+9yzAc/+EEuvPBCSqUSkUjEe/gJ4BvAq73/VKOjowQiYbK9vaSXLF0JPFxP8AaDwVAHm0EP\ncfztb39LR0cH6XSatrY2Ojs76ezsJB6PE4/HSafTxGIxEokEsViMeDxOJBIhGo2STCaJRqMEg0EC\ngQA+n2/cer7XU+D99G75fJ5yuUyhUCCTyZDNZmu/ZzKZccI0MDDA0NAQfX19DA0N0d3djYiQTCbp\n6Oigq6trrGAQiUTo6upi7dq1tLS01OILBoNEIhGCwSChUIhEIkE0GiUUCuHz+Wo3pRSO4+A4DrZt\nU61WqVar5HK5WnzFYpHR0VFGR0fJ5XKMjIyQy+Xo7+/niSeeoKenZ5f3EQ6HWbRoEa2trbS0tNDe\n3l77zFOpVC32L3/5y5x//vkA33X/rUbG6gJ1OuBPKWRKKRGRd6Gzp/8Pbet/DPBT4DWXXHLJZehU\n+wngEbSL893AMuBL6F3cV/h8vlMikcjjwEo32M8opTIiUlBKEYlEdDdRMMTI9u2klyxdjREyg8Ew\ne/wD+MIpp5zy4Uqlkuzr62N4eJienh66u7vp6ekhm82SzWbZunUruVyObDZLJpMhl8vVsh7vfrlc\nplKp4DgObqNdDaUUPp8Py7JqWY4nLuFwmEQiURPHRCJRy3Q6OjpYvHgxLS0tNDc309bWRjqdpqOj\ng0gkkkeX5XagS3TDuGtRQAFd9hxE+zaW0F3hJXaWQfPoNa8CuiTqAI5SyhER5dNYfr/fCoVCfiCc\nSqUWlfP5f9z1hSsIp1Kc8e+fKAIXotfh4sDHBzf+tUVZQZJdr8IKhJ9Ei06ziMSGh4fZtm0bAwMD\n9Pf309vbW5sq/eSTTzI8PEyxWKSzs5Nzzz33EeCX7kc4ThfQZc4Zmdaiyl2w+x4T2jxFT1HtQNeG\ne6cZHnequ19DTWI9VRsdkMvlCITD5Af6AYy7h8FgmDXc76dLReQyv9+f7Orqaunq6mpdu3bt7poC\nJ9zfA+xcA5uI495s92cJLSBltOBk3J/emlwGLUB9wAh6DWnsrX8utwq4n43X5OGREZGWwvAQ/c8/\nR0KvWe1QStW2RonIJ1+8/0bsco5D3v5drED4RKVUn/tcKJ1OL0in0+3o8Tkd6DW3VvdnE/rzDgPP\nA18Y0xwyTheoc5TLS3K/d998XV5l0/wjFECPFMjn81jBAFldE13xUmIyGAyG6XC/t0bc24YGh7O3\n01rK6NlkIb2dqtd7QkSiTrWUsss5lM/CH4pXGbOlwXWr38j4dv16GacLaLGbkWn3kc0xRYBwOEyx\nWMQKBBneuhXgwAbGZDAYDAZIlfM5AIJ6TMvwmOc6KkVt6usPp1DK1ztTu/1uME4XeBkIWR4gGo2S\nz+fxh0KMbt8Gej6OwWAwGBpHU1mX9ghEoqCzWI8FlfyQ+1wa9sSdflfG6QLu1omZ2IsysgCF4WHs\nSqVTRCIznWwwGAyGOaO1pLsGCevS4thN5AsqBS1kwWgzwLZZfN2XXUam51v7/VSrVXx+P+I4ZHq6\nfcB+DYzLYDAY9nWaS25GFtJGFmNtvRaXc/puQAvZ9ll83XG6QJ19HI0UMgf0RryxLay5/n6AvWZW\nkMFgMOyDpCqubdQkpcWFnpAFYy0wu6O3JtWFmWikkE1KYXgYptkRbjAYDIY5Z7pmj6XlnDYTDsZa\nwd1w3kgaKWQ+0IPVxk5qyWujSJORGQwGQ+OIVl3/Q38oBG4ThsuyUtYVsngb6MGfs8WkulDXSQ2i\nFvDYNDLT2wPaBcRgMBgMjSFsVyoAWMEguPu7XJaXs3pbWSjWBnqa9GwxThdwS411ndQg/DBmsJor\nZFktZMsbGJfBYDDs6wTEnUXpsyzQVleISNKuFJqrpQzK5ycQTVeY3WaP8brgNn/MRCOFLAQ7bfw9\n8kNmjcxgMBgajKo1W+gSn9d5sbzkZmPBeBtK+V6cZQutibpQrOekRgpZHHYOVvMojo5AnTNoDAaD\nwTAn7Cwt6iGYJffxVaVR7U4YTnSC9kqcTSbqQn76wzWNFLIo6BlBsVgMlEJZFpV8HrtcTppN0QaD\nwdAwEtWiXhYL6BFc3ozINcVRXUkMJRcAPDfLrzteF1wT4ZnYK0qLwWAQpVQ1oqe3UhgZAe2YbDAY\nDIb5J1TLyPwB2FniO6A4vBWASNNCgF0HUe7h68JOXUBPDZiRvULI3FpoJZzUQmbKiwaDwdBQQnZF\n91n4dNOFJyhrCiPakSqcWgTw5Gy/LozThdL0h2saKWQJx3HGjh8vRpqaACgMDQEsaGBsBoPBsC+T\nqhRcZw+9IXpURJSIrC6Nao/gsC4tPjvLrztRF3L1nNTQNbJCoYCI1GqhsdZWoGZTtaSBsRkMBsO+\nTM39PhirOXt0VIujCbuSxwpE8YeTOWbX+R4m0YV6TmqkkDWN6LUwUnptbDSabgYgrzMy04JvMBgM\n84yIhO1KJehUqyjLwgoEK+gN0fvvbPToQin1rDusdDaZqAuZaY92aaSQpYa1ryJNuqQ4EE6ZNTKD\nwWBoMMlaWTESQSmVcQXroFqjR2ohwFNz8NoTdWGwnpMaKWSRQkG3d0bdGmzI3U9WymYAmhsVmMFg\nMOzDxCp6FhiBcAR2lvdekxt4AYBoywqAR+bgtSfqwl6/jyzmTgD1Ah52595QzmYBWhoVmMFgMOzD\nBJ3quI5Fr3PwyFy/3v8ca90P4IE5eO2JurDXC1l6QgrZH9SLe7gD3UxGZjAYDPOPo5QnDQLariru\nVEv7F4Y3g/IRaV4mwPo5eO2JujAy7dEue9Ma2Y5gTJcWy9kcQKpRgRkMBsM+TMCxdUamtAO9Dawu\nju4AEcKJTix/6AWlVF2NGLvJRF0YquekvaJrMZlMAvS6A9xwFxqbGhWYwWAw7MMkK4Vx9lSjjOlY\nDKcWADwzR689URdG6zmpkULWPDioG1Kam5sBtvsjYQAqxSLiOHER2esmWBsMBsMrnMROIYuCboE/\nsDCkB0G7jh5z0bEIu+rCXt+1mB4cHCSZTHpzZ/p9PivvD4VABHc6aayB8RkMBsO+yM5mDz2LrAwc\n7AlZJL0E4LE5eu2JurDXC1lqeHjYq4OC3jmecVNZ3L8Iko0JzWAwGPZZotWytlb0a7/DPHBIfuhF\n/WR6KcydkE2mCzPS0Pb7XC7n2ZCA3quQtYJ6yGa1XALX0t9gMBgM80bU1hUxT8jKdqWwuJztRfks\nQqkFNrNvFuwxmS7MSEM3ROfzeSKR2tgxASqWTidxU9tAY0IzGAyGfZaIl5H59FDNaMF19AglF+Dz\n+Z9XStXlSv9SXnuCLhTqOakhQiYiASA2MjJCMpnEHakdARx8yjumYfEZDAbDPkxTOa8Ng0M6M4oW\nhjYBEG1eBnPj6LGLLgAOdW6I9tdx8QhwItCKTif/MdEoUkSWAv8EVID/A/QDy4Ageld4GagCRaXU\nKNAJ0N3dzZFHHgnigLLSQMVdXMSp2mAyMoPBYJhvklWva1FbVKUKQ1sAiOj1sTkRMibqAvQrpex6\nTpxWyETkrcD1QNuYh+8RkfcopV4UkSjwFeDCeiMVkfuBywAGBwdpbW3FsStYPqsVKLnTSHGqFXCH\nrBkMBoNh3kiVXZuogM7IWvNeRtY0tx2LsFMXgL56T5xSyETkjcDPAB5++GGeeOIJTjvtNFpbW08E\n/igiBwM/Bt5QLpe54447iEajnHbaaSil6O3tZXh4mGAwSCgUwrIsYrEYsVjsKOASgFwuRzQaRewK\nBMJtjC0tOqa0aDAYDA1g5z6ycBgRWZgf3ARAtGU5wD/m6HWjsFMXqHOoJkwhFCJiAV8DuPzyy3nn\nO9/JXXfdxatf/WoefvhhgOW4Itbf38+rX/1qbr75Zq655hrOOOMMHMfh2muv5ZxzzuFNb3oTJ598\nMosXL+bd73639xILy+Uy5XKZeDyObZcAOgDbtURBHAfA2u2PwmAwGAx7Qro2VDMep1ocDTqVAv5w\nkkCkaRDYPkevmxirC9TZsQhTZzzHAis2bNjAzTffzH333cd//ud/ctVVV/G5z33OO+YNAF/5ylc4\n88wz+cUvfsGdd95JoVDgrrvu4sorr2T9+vU8+uij3HDDDXR0dHDdddcB9AD3ZTLapiuZTOJUCqDn\nj1V9Pq1d4thQxxqewWAwGGaVnfPIwmFK2V6g5ujx5BwM06y97lhdoE57KphayA4EuOuuu3jb297m\nTerk5JNP5oEHxjv3/+53v+P9738/AEqpXY6xbZsLL7yQ6667jo6ODtALhfeNjo7WArbLedAZmaNM\nadFgMBgaSbqc00IWjMXxPBbdYZpPz+HrpsbqArshZFNlPM0A/f39tLTsHAsWjUYpu/sLPCY7xgsG\n4LbbbqOlpYU3vOENoPcEnAecNzAwAEBLSwvx9jUA7wN43WfWjb38XYCq980YDAaDYY+pNXsEo1GG\nt2hHj8gsOnqIu79qImN1gTrtqWDqjGcAoLW1ld7e3tqD27dvp7Ozc9yBMx3zzW9+k0suucS7e5VS\nqgdo985pa2vj05/+NEqpSW/AunrfjMFgMBj2mJZSVpf4Qok42d5ngdndQ7Zu3bpdvuuvvvpqxuoC\nu9G1OJWQPQVw3HHH8Zvf/KaWhf3sZz/jpJNOGnfgcccdxy9/+UsASqUSd9xxR+2YRx99lG3btnnZ\nGMC33J+1mTPpdBrP7dhgMBgMjUNEIna5HKsWi/gsC384Qr7/eUB5GdnDc/XaqVSKsbrAbmRkU5UW\n/wIMr127tumYY47h+OOPZ9WqVfzhD3/gL3/5CwDXXHMNH/jAB/joRz/KqaeeyhNPPMFjjz3GEUcc\nwdq1awH47ne/y7vf/W58uhPxVqWUp7AJb1EvkUiQzdbdnGIwGAyGuaO94M4DC6dSgIOITTi1ECsQ\nfkEpVdfE5pdCIpGoLUslEgnYja7FKRGRC8Xlj3/8o9xyyy0yMjLiPSTxePyR7u7uURGRkZERueWW\nW+SPf/yjOI5TO+b222+Xvr4+7+4pY659x9VXXy2AjIyMyLP/80UpZnpFRO7/3brL5ftvP0u2P/ao\niMjJe/xGDAaDwVAXIvKavueele+//Sz51Sf/XSqFUXnwprPk+XuuERH5+Ry/9jhdEJE31XvulO3t\nSqlvi4gC/v8TTzxxl4aLTCbzGeBHoDtMzj33XO+pKvBL4I1nnXVW0H3sV8DdY06Pe1lYLBbDqRQp\nZ3sJxdtCXtcieinQdC0aDAbD/NFVcMt7kaYmKqVR9/c5dfTwGKcL7EZGNu0+LaXU9SLyY+B49MJb\nFngc3Xk4gG7E+BawAm36uwi4Ryk1JCIHAG8CNgM/mbD3IJHJZIhGo1iWhV0pUMr2kuDAmO0NdNMu\n+MV634jBYDAY9pgxQpamnOt3f18E8MQcv/Y4XUBPpq6LGTccK6WGgf+e8PD33Z9/dX8+7v58cMx5\nTzL1zJro2JkzTrXkfWDhiS8/U3wGg8FgmDUW5gd1C3w0naY4oveQhfUesqfm+LWjE2aR7ZlF1TwQ\nLhaLhMNatxy7TCnTAxCtjdj2W6Dd9A0Gg8EwPyzKu13k0eYWisNb9DDNZFcVeGaOX3ucLrAbFblG\nCVmwUqkQ0EPbEMf2bFAidmnciO26FdlgMBgMe8yS3IAuJ0ZbWijnBgglOvH5/BuUUuUZzt1TxukC\nu5HINErIQqVSiZAWK8SpUMr0AgRds2CU8oEerGYwGAyG+WF51t2UHG9vp5TrJZKel0YPmKAL6FmW\ndbF3CBlQyQ8g4vgdbRaMsnygOyANBoPBMMeIiN+x7SXZfp2RxdvaKGf7CCcXwNyXFeFlKGTBcrlM\nMKi780PRVkCXGN3J0F7X4lynsgaDwWDQLMoPDlpi20TSaaCKUy15jR7zIWTjdIHd+P5vlJD5q9Uq\nfi1WBBPtQG10i8FgMBjmn+XZPres2KqzMYBwagHMreu9xzhdYDcqco0SMp/jOJ51FeFEl35UHBzb\n7VrUc8lMadFgMBjmhxVj18eKI9sACCfnpfUeJugCu9Ej0TDnDBHx3O0JNy0EwHGq1CZEi5lHZjAY\nDPPIqkz3DgASHR2UMj0Eos1YgfAOpVTdm5P3hLG6gOfvVAcNFYpaRqYXE0GcnaG78zUbEJbBYDDs\ni6wd2aazsNTCRRRGthFKdABsmM8gPF1QSu39GRnUsi5v8ijiVHd6eeinjLOHwWAwzA9rRrZrIUsu\nWEhxZBuheDvMs5B5uuB6/dbFXiFkVjDaE4ikmXxmqMFgMBjmErf1fkWmpweAZFcnpdEdBONtLIsW\n/QAAIABJREFUAJvmORbv171eyMTn8+E4tcxxQyjRjjgVrIBuvbQrZdjVe9FgMBgMs89+2b7egFOt\nEkmnUT4Hu5InGGsF2DJPMUzUhbr1qVFCZluWhW3X2u2fD6cW4lRL+IOekFVAO+obDAaDYW45aGjz\nZgDSS5ZSGu0GIBidVyGbqAtWvSc2SsgqgUCASqVmpfVENL0MEcdz9ED0m5nRnd9gMBgMe8zaUa/R\nY8FCCiNbAQhG0wDb5imGiboQmO7gsewtQrYhlOxC7AqWX8deLZvSosFgMMwTrxra4mZkS5eS638B\ngEC0GWDrPMUwURfqTmQaJWSlUChEqVSz0noxnFqIXSngj+hqYrVYBEg0KD6DwWDYl1g9ukPPHkst\nXEhhcCPKZ2EFYxVgeJ5imKgLoekOHkujhKwQiUQoFAre/f5grLUodoWAO4vGFbJ4g+IzGAyGfQIR\nUSKy0utYjLd3UMp04w8lUUoNKKXmq598oi5E6z2xUUJWDIfDFIu1uWkhpdRmQQi4GVk5nwdINig+\ng8Fg2FdoL2VG45V8nkAkQigRp1IYJqDXx7bPYxwTdaHupaVGCVk5GAxSLtfMjYPAFkQIRvWYa1fI\nmhoTnsFgMOwzrMx06y7FREcnTlWX9gKRJoDueYxjMl2oi0Z1BU5WC92gfNYpwZgrZLkcQLox4RkM\nBsM+w/Jsn3a6j7e3Y5ezAPhDCYD+yU5wXTd+h3b9eAR4GHhgd2ylJuElr5E1SsgyiUSCQqGAa9uf\nAJ72+SME43pZrJTNADQ3KD6DwWDYVxg3Fbpa1P7AVjAOMDTFOQud7Mjrinf/Av+SVQQPPSbHni8F\nTaYLddGo0uJoMqnfczabBd2d+IIVCBPyhCyTAWhtUHwGg8Gwr7Bfpndno0eloJsUrWAUpu5YPNTe\ntpHSfb+j9MBdAI/uYTYGk+tCXTRKyPLRqG5Iyeu1sBiw1QpGCSf0GzFCZjAYDPPCQcNbtXlHasEC\nSlmdnbmlxYEpzjnU7n4RAKtzKejy4p4ymS7URaOEbDid1stfAwMDoAVruxWME0oaITMYDIb5QEQC\njm0fNOzZUy1dRtF19bACYYDsFKceVt2+SR/XtQRmR8gm04W6aJSQ9ba1tQHQ398Pei2s1x+KVUMJ\nXVosZkYB2hoUn8FgMOwLrMz29YaqpRLR5hbCiUTZ81n0h1MAPVOc9xp7q57uYi1cAbB+FmKZTBfq\nomFrZKlUCoCRkRGAlFLKVsrXHR6TkYlIy+7MpDEYDAbDbrFs7OgWoFIpjQIQ0ELWN/EEEelw8tlF\nzmAPBIJYHYvLwKOzEMsuulDviY0SsmzMbbPP6TZ7rxa6zedT+EMhnGqVSj4fwOwlMxgMhrliWc5t\nvY+1tgGoalELmT+chEmEDDjS3qq9GK0Fy1CW9YhSqjTJcbvLVLowI40SsozXnTI6Ogo7xWqTXckT\nadJ3C8PDAJ0NiM9gMBj2BVZletzN0O0dAAG7nAPAH4rD5M0eR1c3P6ePWbQfwIOzFMtUujAjjRKy\ngZaWFgAGBwdhZy10o2NXCHtCNjIM0NGA+AwGg2FfYNVo9w4AkgsWII7jd6raWcNnBQEKk5xzTHXz\nswD4l64GuG+WYplKF2akUUI2EgwGCYfDnvJ6G+m2iDhEUuMysgWNCdFgMBhe8Swd5+pRKSgQrGAM\n5bOGlVLVsQeLiF8c5wh7y/NATcj+OkuxTKULMzKjkInISSLyRxHJikifiNwoIovGPB8RkUtF5AUR\nKYrIYyJyoYhY7u1zIrJVRDaIyNnuaYMALS0t9OiFRi/r2oE4xFp112VOd64srvfNGAwGg6E+XNf7\nmqtHrKWVqmtPZQVjMPlm6IOcvu0xKeZRqWZ8yeZeYNMshTSVLszItBZVIvLvwFVjHooB7wfeKSJH\noJ2R/wgcNuaYg4Drgf8HyAHnjXnuVhH5m3senZ2d9OoP0Wuz71U+P5EmvZegaEqLBoPBMFd0FkdH\nE5V8nkA0SjiVyhcGN0UBrEAEYHSSc/6pVlZcvArg/lkc8zKVLszIlBmZiBwMXGXbNpdddhnNzc2s\nWbOG3//+96DnxFwHXAEc9swzz3DyyScTj8c5++yzvfrm24DzstksJ510Evfddx+ABaxEC1ylubnZ\nOzYsIlGgV1mBWrNHfmgIoGt3PgmDwWAw1EXN9T7Z2YVSaptd0UtiPn8Y9Pf0RI6qNXrosuK9sxjP\nVLowI9OVFj8K8K1vfYv169ezYcMGbrvtNs4//3yG9drVCcCHHcfhbW97G+95z3sYGBhg1apVfPKT\nnwTAtm3e/OY3c/zxx3P00Ud7193uKvhwU1OTt18AdD201/KHiDbrNb7cQD/Asno/BYPBYDDUzWL3\nO9ZbzhmslrRhcCCcgMlb7/+pusUVMp2R/W22gplGF2ZkOiE7EeDGG2/ka1/7Gk1NTRxyyCGccMIJ\nXlYGwH333UdbWxvnnXceoVCISy65hNtvvx2AX/ziFyxdupTLLrts7HV/IiIRIJNKpTxRBN1qOerz\nh6uJTt1x7/61sNpsijYYDIZZZ2FhaBDASx5yO9fIdnW+F5FlzujQSqdnq94IvXB5hdlrvfeYTBdm\nZLo1shUAW7ZsYfXq1bUHFy5c6C3EAfD888/zqle9qnY/lUpRrVYplUpcddVVdHd3E4/HWb16NT/5\nyU844IADDgY+BAwnk0mvOwXgKQClFPHWNs77sRbD4uhocziZ7GB+B7wZDAbDK52F+UFXyNLNAEW7\nnAemdL4fU1Zcg/IH7lNKTVZ+nBERmXJdbYIuxOu53nQZWR60sFSrOzsws9ksXq8/QCgUolDYudXA\ntm0sy8Ln8/Hss89y5513UigUeM973sPll1/uHXYqrtNxoVBARDjhhBNQSu1yu+xTnwJYU8+bMRgM\nBkPdLMppc16i+jvd9kqLUzjfH1998Rn9/JJVsAf7x9atWzfp9/2f//xnxuoCdbp7TCdkLwKsWbOG\nRx7ZaWz8t7/9jTVrdurK/vvvz0MPPVS7v379evbbbz9Ai+CaNWvw+XyceuqpdHfXkqomIBeLxRAR\nCoUC8fjkwutOil5Rz5sxGAwGQ90szA+Ny8ismj3V5NOhT6hueEI/v3wtwJ9nO6BcLsdYXWAWMrK7\nAM477zw+9rGP8be//Y1169Zh2zaHH344pVKJ0dFRDjnkECqVCldddRUPPPAAH/rQhzj//PMJBAKs\nWbOGn//854gIt9xyC8cee6x37eeBbCKh56Zls1k8j62JGCEzGAyGOaGroDvDierxKX7bXSPzh8dn\nZCKSllLxAHvHi+Cz8C9ZLcBfZjugbDbLWF1gFjKyGwAuuugi3vnOd/Jv//ZvbN68mV/96lcopfjo\nRz/6/DnnnFNUSvG73/2Op59+mo997GP867/+KxdddBEA119/Pddccw377bcffX19XHrppd61b2aC\n0/Ftt912EaBE5Kc9T/+eZ+/+H77/9rN41wnHASzf3Q/EYDAYDJPjNtB1FN3uQNcWMFT11sgCu2yI\nPrq69XkQwepaigqGHldKjfAS+exnP6uAXW5nnXXWf05wwE/Xc70pmz2UUo+LyAd8Pt+NF110UU2c\nPL7xjW98ZdOmTX8D1nd1dfG9731vl2sceuih3HvvLtsMrldK3Skip08I2GuzLNnlHLHWlQC4Ndwl\n9bwZg8FgMNRFvFIsRKqlElYgQCASKQGxaZo9Tqm+4JYVl+0Ps2dLNZHhKXRhWqZ19lBKfUdE7gX+\nX2AL8BrgNqAzEAi8a9WqVYcCNwL3A29F7ylYDHwd2ApcApwD3AEcis7ybnEvn/FSyIyeBp1wHy86\nlSLxDt1Qkh8cAKhZYhkMBoNhj2kvjuj1sHAqhVKqF4g51SIAlj8E4zdEn1jx1sdWHgjwP3MU11S6\nMC3TChmAUupJ4IKJj4vIl93nvTbKXVMy+LR7m4zRCQF7i3pZx6l4XTTkBgYQx1kkIpZSyp4pXoPB\nYDDMSHtx1C0rJlMAvUCbU9VjxXxayAqAHnBcLh5qb30BlCKgGz3+zxzFNZUuTMtLdr9XSskeemxl\nJwRcKy0q5QPKhJNJnGqVwvBQAGNVZTAYDLNFW3HUy8iSoIWstdZ+r4dqel2Lr6s8/7gP28ZatBIV\njj6mlJrM9WM2mEoXpqVRY1xg12mg3ljrsvL5qeQGiDZ75cVBgIUNiNFgMBheibSWtFAQSuhJ0CJO\ndGdGFgbIuMeeWn3uUQACaw4D+M0cxjVRF/bYa3GuyXp7x1zlbXUfL/qsIOX8QK28mNXjXEznosFg\nMMwOrcWMm5HpDGjUEzFlBVBKFcdU3I6vbHwKgIBeH7trDuOaqAupaY92aaSQDSaTSSzL8pyOPSEr\nK59FKdNDokNPcHHn5SxrSJQGg8HwyqO15JYW3Ywsb5d1b4df+ywOAohIp5PL7Of0bAF/AGvRyiqz\nNxF6MibqQl1TohuakSmliMVi3sY3b1Ev7/OHKOf6ibVobcv29YLJyAwGg2G2GFNaTAAUJrTee2aH\nR9ue2/2iFSh/4KGX6q9YJxN1Ya8vLZZAezWWSiWAsPt4UVkBipluPBf8bG8PGCEzGAyG2aK5pIWC\nkC7l2dWS6+oR2pmRAcdWN2l/RWvpGpi7/WMeE3UhVM9JjRSyPFAziGRnwD5EqOQGiHkt+H39AEsb\nEaTBYDC8AkmXc+OETCaMcPGEbOdE6CWrYe6FbKIuROo5qeFCFovFvO4ULyOzRBxKmR7i7e4aWX8f\nIrLUzCUzGAyGWaGpnNelxEA0BhCwJ2RkIhKXauXw6tYX9OOzPxF6Mibqwh57Lc41OYBIJEJef6BB\n9/Gyz+fHruTxB/0EolHscpni6GgIs5fMYDAYZoOmck4LWTAaBfB7pcUxQzWPqm55PkCljNW5BF8s\n+bxSavscxzVRF/b6NbIyQDAYpFwuj42lqKwAAJXCEMnx62SmvGgwGAx7Tq20GNT7toJ2RQubP1gz\nDP4n2x2kaemy4qyPbZmEiboQnP5wTSOFzAbw+/3Ytg3a/RjAQhwAquU8ET1eAHfcgNkUbTAYDHuA\niCgRSVTcgciBaAQg4bl6WDubPU6uuEbBgeX7wxyMbZmEibpg1XNSI4VMQA/frD2g18AqyqctIKul\nUW/gGzm9p2DBfAdpMBgMrzAidqUMgM/vx+ezykBbtai9FwOuPZU4zmtqjR4rDgC4Zx5i20UX6qGR\nQmYB2LaNUsoba9029gC7lJuYkZk1MoPBYNgzotWidvHwh2ou960Vbzq0FrKoM9AdoVRAJdP4ks19\nwMZ5iG2cLuAK20w0UsgCAJVKhWAwiBvvEiDkOFUA7GqhlpGZcS4Gg8EwK4ScagUAKxAAKAKdVVfI\nAuEUQGetW3HRfgAP7qFJfL1M0AW9ZjYTjRSyMECxWCQUCoHjgLahqn1Y1WKGWJtO0nL9Zi+ZwWAw\nzAIRu+wKmRaLEtBVyQ8B4I80ASy1t23QxyxcDrB+nmIbrwtaZGekkUIWASgUCkQiEahWQbt31DaL\nVUsZYs1mwKbBYDDMIuGqu0bmClnBrpYSdiWP8vnxhxIV4AB7+yYA/AvmVcjG64I7E20mGilkIYBS\nqUQoFELsKsAKwOeul2FX8kRbdjZ7iMgiEWlkzAaDwfByx4ejv2PddSirktdGHoFIGqXUDnGcQ6uu\nkFkLlgH8Y55iG6cLvFxKi6VSiXA4DJUS6Iysqny649KpFAiEI5VgLIZTqVDKZAJAS8MiNhgMhpc/\nQUcnDvj8ukO8JmTRZoBBZ7gvSqmAiqfwJdMDwNZ5im28LrwMSotxgGw2SzweR4oF0EKmEG+ZTAEU\nw0k9JNQdzd0+75EaDAbDKwfLsfVeXeXzAfjLrpAFY80AJXt8NvbwPDV6wARdwHX6mIlGCllTpVIh\nl8uRSqVwcqOIba8AHGXpvxJEdy+Wwkk9W80dzd02xfUMBoPBMDN+cSYIWW4AgGC0BcCyt+lOe3d9\nbL7KijBBF4CRek5qpJClRkZ0jE1NTUg+izPU5wdalNJhiXb4qLjzcnDHDpjSosFgMLx0go5ursPS\npcVAOdcPQEALWbK640X9vJuRzWNs43QB7fk4I40UsrZ+3VJPS0sLUsjiDOwAaFNKr5GJYwNUg+7o\n67IWsromhhoMBoNhUiLVst4Q7XYtBsq5PgBC8TaADnvHJv181zKAh+YxtnG6wM5xMtPS0NLikHbr\noLm5GclnsXu3ASzG52VkNoAd0qaWlLTJZboBsRoMBsMrhZ1di/q7NlzOekLWjlPIpWR0CAIhfM3t\nReC5eYxtnC4AA/Wc1FAhGx4eBiCVSiHFPHbPFoCFPkvP2HSq+q+GYMzLyHJghMxgMBj2hKDtdS1a\nfkQk4pUWg7FW73sYq2MRyud7UilVncfYxukCL4M1smZPeVtaWnDyWeyerQCLrKAeCupUigB+d8wA\n7tiBpgbEajAYDK8UQk5lp0WVOBXLrhTwBSJYoXjZ9tbHOhcDPDbPsY3TBV4GpcVYVq956TbLcgG7\nbzsissxn6RE0jq3nlNWETA9aM0JmMBgMLx2/o0ekoCwLu6LNM8LJLpRSo06fnp1ptS0EeGqeYxuv\nC5Cp56SGlha97pRkMokoH5QKOKODEZ/fKy0WAQIBbVVCRQtZsiHRGgwGwyuDWvu9z+fDLuuBmuFk\nF4Bju0Lma1sA8PQ8xzZOF3g5CNnw8DCWZRGPx/FFdNbl9GzFCujp1lX9AccDYVfI9CC4REOiNRgM\nhlcGIa/93uf3Uy3pDCicXAgQdvp3AGC1dgE8O8+xjdMFXgbt9+nh4WGamppQSqGSuoejuvk5rIC3\nRlZAHDvi11YlVEslcHd+GwwGg+Gl4fnZohR2RWdkoWQnYtsJZ2QAlMKXbhdgwzyHNk4XgOF6Tmqo\nkA0ODnotllitevizvWMTymdVrKDO0OxKEX9YlxqrpSJAbLqLikhIRN4lIpeLyIo5i95gMBhenjje\nBGZxHK+pjlCiE2dkUCGCL9WC8vu3KqVK8xzbOF2gzmYP/0wHiEgKeCewP9AD/EgptXHCMYcCb0Gv\nX/0DuB04HjgUcIAgevJnGbhVKbUFdwe322LppbG4Hl8+fyiBXc5RLY1SKy0WizBNaVFE2oGeF/7P\nPRRGRzjgjDPPF5EDlFL5ej4Mg8Fg2AeI2OWdY1wqhSFAEWlahP2C7u3w6UaPZxoQ2zhdoM6MbFoh\nE5EzgFuB1JiHrxSRTyqlviQiAeAbwIUTTv3BNJf9dxE5Fgj39/d7ylv2tXVBIBh0hvsRx7b84QSl\nTDeVYoZAxBU53TIamiLWxcDm33/2cnqe0v8Yy1579NJ4e/si5r/OazAYDHsrMXeZBn8ohF0pEkp2\nYgUig5W+Hc0AVmsnzO9GaEQkzgRdAOpKQqYUMhE5CPg1wJ///Gd+/vOfc9hhh3HuuediWdYXReQF\n4LXAhcVikRtuuIHNmzfz3ve+lwMPPBDbtrn22mtxHIdyuYyIcMwxx3DiiSe2ABcBbNu2jYMOOghg\nh/JZA1bnklfbW55HCjlv3DbV4iihuJ6n6S5QBieJ9RDHtn/7j1t/WBMxgHh7O8Dz9XwQBoPBsI8Q\nc5dpCIQjONUC0fQSgGFnuL8ZwJduA9g45RXmhoUwQRfqdN2fbo3sMoDvfOc7XHDBBaxYsYLbbruN\nj3zkI97z3wQ+bts2J5xwAuvXr2fx4sWcfvrprF+/Hp/Pxxe/+EX6+/vx+XyEQiEWLlw47gX6+/tp\n12LTA/zdv1AvaTmjQ/hdIasUhjxjy0mFTETeVC2V/vrnr3+t68lf/6r2+KFvfwfoMqhTzwdhMBgM\n+whhe8yGaMeuEGlaClB1hrXDhy/VDPM3g8yjBXbRhbqYNCMTkSDwdtu2ueKKK7j77rtZsWIFF1xw\nAUuXLuWKK64gnU53ANxxxx20tLRw0003oZQinU7zta99jZtvvplqtcq5557LQw89xIEHHsiqVau8\nl3isUqlQLpeJ6c3OWeAh12kZp38HgYje91wpDKEs10TYthERv4go9zofyw8NXf3Hq7+kBja8QCAS\noX3/tWx76B8U9V6E/ro/QoPBYNg3ULWuRZdw0yKAkDOkPRd96XaY/47F6CS6UBdTZWRLADZv3kw6\nnWbFCp0phUIhVq5cyXPP7Syd3nvvvfzzP/+z1yrJYYcdxhNPPEEul2NoaIi3vOUtrF+/nne84x38\n7Gc/8047o6D3hBGNRgFOBq4LHXky6f/9Y4KvOoqFh72DI/71di1kNRNh8WIOAjcObNz45d9c+ik1\nsOEF4u3tnP65K1hx7HEAFLTNyYJ6PwiDwWDYR6iNcfEFAohdIdK0GKDJGdUevb5UC8xhRiaTAPxh\ngi7U3aQ3lZBFAXK5HKHQ+N4Kn89HIBCo3Z94jPd8uVzmlFNO4f777+faa6/lO9/5Dt/+9re9ww4Y\n1UMySSQS3HrrrXov2SS3a667feInAPCHLX9/8H2/X/cZ8oMDtK1ewxlXfMFOL17y46j25yLb3wew\nrN4PwmAwGPYRfF5GppQCn0U42VWUUjEluQxYflQ8WQW65yqAdevW7fJd/+53v5uxukCdrh4wdbNH\nL0BXVxdbt25FRFBKISJs2LCBBQt2JjoLFixgy5Yttfve8+l0mrvuuqv2eDqdJpOpxRXt7e0FoK2t\nja1bpxZ+p1rUb9Tn03sebJvHfvbT4x79+U9BhBXHn8DRH7hwxAoEzgaejre1vwMgp2faLKn3gzAY\nDIZ9hIDnteizLAKhJMpnbbSHtq8F8DW3o3zWJqWUPZ9BdXR0MFYXqHOEC0ydkfUA3S0tLXR1dXHn\nnXcC8Mtf/pJFixbR0dFRO/C0007jRz/6Efl8nkqlwre//W3e9KY3kc1mueOOOwBdErzppps46qij\nvNNGPav+dDrNwMDU8XqGlh73fOVqHv2ZztIOe/s5HPPBizdagcDRSqk7ge2RpiZH+XwUR0awK5U2\nEQnX+2EYDAbDPkC8qvfk4g+HsUIJgF57UPdWNKhjkWQyyVhdYE+FzG15/BHAN77xDT784Q9zxBFH\n8NGPfpSrr74agHXr1uV+9atfcfjhh/OWt7yF/fffnwMOOACfz8c555yD4zhcdtllnHHGGRx77LH8\n4Q9/4NJLL/Ve4tmSu48hFAqxbt26T6EXID9Y/NtdDF72LuxqmQdvOov3v3EloHegA2x76CGCsRin\nfvJSXvWWt96tlHqtUuopN+6qz7K2R/SHQF4L5OJ6PwyDwWDYBxi3j8wfigOMSkbbGvqaWgFenMsA\nPvvZzypg3O3yyy+/aqwuAMV6rzfdhugvAG876qijljz66KNs2LCBFStWEHGd6G+66aYrFixYsBD4\n8JVXXsnFF19MsVisNYaEw2HWr1/Pn/70J4LBIEcffTQ+3bTxa6Dfczh2d3B7NcfHrK6lUK1AqYg/\nnKJaHD9XzR8O8/rPXUlq4cJrgE9Mkv6+GG9rX5QfGCDT10uis3M587yxz2AwGPZiojUhC4YIRiMA\nRSejv2t90QQ0puO7aQpdmJEp95EppfrRG55/HIlEOPDAA/tdEXsIYNOmTYsvuOCCE9zDdyxYsIAV\nK1Y4aG+sTwHftCyLk046iWOOOcYTsW8CZwMJb1HPter3bEjWW13LbCwLZ3iAYLTmt1Xj1E9dSmrh\nwq8qpT4+RQ13Q8ItfWZ7egD2q/fDMBgMhn2AJnckFoFotDa+xRlx95DNQ0Y2BVPpwoxMa1GllOoG\nzhGRi9HWUCWl1KCItALL0Z6KDwAF3F3ZQLc3GltEPovuHAwDjyulht3HJ1VepVRRRJ7ztXbt7wz2\nEkp0kB/cSCnbx9EXfpDC8BDta/Z/Cvi3acJ+Ntmlm1FGtm8D7RFpMBgMBk17yR1eGYrH8YcTQ0DK\nGdWlRXcSybYGxPWSM7IZTYMBlFKDE+73s2vquUvr4RTHgau8Silv5sxY5X3aal2wvzPSTzCmW+mH\nNj/AqpPecA967PbVM9iWPJVyHURGtm0FOGCaYw0Gg2FfI13OaSEL6o3HzwJpKeQA8EXjsBuNFrPI\ndLowLY0a4xLPZrPEYjFvI/XYjW9PWR2LcUYGCUS1kJUzPaAzuo+4zvnT8UTTIt3fMbR5M8CrZjt4\ng8FgeDkiIj5xnJhXWgzqjcePAW2S0wmQ0mtkdY1PmWWm04VpaZSQRXO5nGdDAuOtSB6yFizDGeoj\nFG8DoJTtBah3ttjziY6Ogj8cpjA0RGFkpF1EjMOHwWAwQFM5n1ciQiAS8RTgQRFZ6Hhdi7q0uKMB\nsU2nC9PSsIwsn897NiSg19g8HrK6luIM9BBK6PEtxdHtAGvrubBSqqp8vkfTS5cCMLRpE+i5aAaD\nwbCv01Iesz7mOiXtkHw2RKUMoQgqFMkopUamvcrcMJ0uTEujhCxcKBRqrfyMTyE3+ZpaKvZQL6FE\nF8pnURrtxq4Ul4tIss7rP9y8dBkAg5s3ARwyS3EbDAbDy5nWYkZ3BoaSSdAlvBHJ6cd8iSZoTDYG\n0+vCtDRKyPzVahW/v9ZrUvV+0RmVtdGXTMNgL+HUIkAoDG8BOKjO6z+aXqIzsmG9TnbwrEVuMBgM\nL19WFt0W93AyiVKWDVSkqDVDhaMAjcjGYBpdmIlGCVmgUqmMNR+uTHj+Wat1AXbvVsIp3YHolhfX\n1Hn9R5uXLQNg4IUXAF6zh/EaDAbDK4FXFVwbqHCqCaXUKNDmuBlZAxs9YGZdmJK9Vcie8bV2Yg90\nE050AlAa3QGwivr4R3rpsqrP72dk+zbKudwKEWmblcgNBoPh5ctqd8QVUW3l1wsslNFxjR6N2EMG\nL0MhmymFfN5q6cTp274zIxupPyNTSuWtQOAxr+Fj8MVNYNbJDAaDYVlhWItWJNUE2sGj09sM3eA1\nspddaRER8WyrAJwJTz9ttS/C7u8mlHQzsmwP1N+CD/Bw87LlAAxs2ABwxJ7EazAYDK8AOvJDunIY\nbW4GvRm6y8nqcqPSQjZnc8hmYgZdmJKGCRlQmyo9iVPHY76ORThDvYTi7QCU9Kbo5bshm1zfAAAg\nAElEQVRx+b+3rNDO+YMbNwC8eg/DNRgMhpc7TTl3bFYk3QzwJNAlGS1kvkTD9pDVmEYXpqShQjYV\nSqkBXyQ2gIBlRfBZQexyjmo5lxKRXZ2EJ+cfLa4Tf79u+DAZmcFg2NcJu0OHibe1AvwNWOwMa3Hz\npZphErvBvZ2GCpk3bltE1CRPP+9raUeGeneWF0e7oX43+4ebFi+2fZZFpnsH5Xx++W6IoMFgMLyi\nEJHFlWJRlbNZfJZFMJEEeBTo2unq0QywvXFRzqgLk9IwIVNK4Ti1EuhkcWyw0u3Yg2PKi9qqaulk\n1xMRS0SOFZGrRORXwL9Z/sDj6fFt+K+d1TdhMBgMLx+Oy/bqKdDxjg4sy6oAllSr7ZIbBaVQ8ZQA\nPY0KsA5dmJS63O/nAFFKKU950RNCJ7LJl27DGe4n6HoulrWQraxdRMQPHAecJSJvKwxt7hje8gDZ\n3mfoOOANZ6YWHvZ068r9GHjhBQY2vEDXq151OPDbOX1nBoPBsHdySLavD4B4Wztod/lmyWdABBVP\noSyrXylVblB89ejCpDRKyByfz2fNoLwv+ppasbs3E149blP0YSLyFuCtIs4b8gMb00Mv3sfQpvu9\nzkYAsr1Pc9Cbr92/ebleJxswDR8Gg2HfZrXX6BFtaQHoAzpqm6FjDZsM7VGPLkxKo4Ss6vf7rWq1\ntk3AD0z8K+BFX1Mr5Sf/TiihPX9LmR4cp3p2ZscTZw9veZDhzQ9QKQzVTvCHUzQtPoJqcZThLQ+y\n+YH/pGX52wAY1ObBh83t2zIYDIa9lmW10mJbG8AWYLGMuI0een2sUZuhoT5dmJRGCVkpFAqFyuVa\njEF2NYjc4ku14PTv3BSd6X6CR2+/iGpxpxVYINpC0+IjaF52NPH2/TPKZ210qqWDH/npRYxse4hl\nx34Un2WR6emmUigsE5G0UmoIg8Fg2LfoyPZoIUt0dILeQ7bUHtJJmK+pFWBzg2KD+nRhUholZPlo\nNJrM52sxxth1Gug2X6oZZ3iAQHRns2G1OEI4uYD00qNoWvpaos3LB5VSdwA/Be5USpVE5LeJ9rWn\nD295EJwS6aXLGNig18k6DzzoNcDv5+NNGgwGw15EKtvvrpG1tgI8BeznDPUC4Eu3AWxsUGxQny5M\nSqOELBePx8lma3PTYpMcM6LC0Rz+QEz6e4i3r6Wc62P5cR8h3r5/j1LqJ8AvgL8opSZamdwfa1t1\n+vCWByn8X/bOO86K6vz/7zMz997tjV22V3rvXaSoaGzYo7G3GGOLRqNJ1GiCJtEYYxL9aUxiI4jY\nYldQEBQMIB2ks8Auu8v2evvM8/tj7iKdZQEX/M779doXd+89c+bMZe987vOcp9SX0qlLF2q2bKba\nFrKhOELm4ODwfwgRUSIS3RSxyOI6pwMsA05rFTI9uTN0rJC1RRf2S0cJWXNsbOzuC47be4AdvCKl\nWkJyD99H/6H7FQ8CEtJ016PAlP2I1+4sik21082adn5DapeubJg1k+oNGwBGHd1LcXBwcDjuyfA3\nNqqQ14s7NtbuRQbLgWyrwS5Zpexk6JKOW+KhdeFAdFQeWUNiYiJNTU2YpgmQeIBxlVpsAqF1SzG3\nrkfTXWcopR46hIgBLIrt1AVQ1G9bSFq37gBUbdyAiIwWEf3oXYqDg4PDcc/AlohbMTY1FU3TTKWU\nHyiw6vfYI+tIIWurLuxDRwlZc1ycLbYRf+iBlLdOxdgvia8FILktkyulanR3zJaohEy8dVuJz0gn\nOikJX309jWVlyUCfI70ABwcHhxOIIY3ldgnFeNut6BOROAkGOktTPeg6WmJKmA62yNqoC/vQUULm\nj4qKsh/4/QCeA4yrVdGtQtYMcDglphbHpHYBsQj5akntZrcyq9ni1F10cHD4P0efhlJbo5Ly8sBu\nntnFqo0EeiSloTR9Wxu8XceSturCPnSUkHljYmLsB7byHmhTryqSpIfV3ADQ+TDO8XXrPpm3dhup\nRfbjqk0bAUYe/pIdHBwcTlh61ZXYQpaQmQV2q5ZCs9YO/tBS0gE2t3UyEblMRPKO8hrbqgv70OFC\n5vP5AGIOMK5G29O1mHQY51gak2J3fWksW05ad3ufrHrjBnBqLjo4OPzfIrthh53rHGk4vBXoakWE\nTO+UDrClLROJSJ5fvC/5pHmTiDwvIofTJ/JgtFUX9qGjhKwxMdHex6utrYUDuwzrVZQtyoezRxZh\nWUxKAQB12xaRUmiLWl1JCVY43FtEotqxbgcHB4cTChExxLJSWmpa27fsyhfratVELLJOGQCb2jjl\nLz4NT3P93DfJNT/83g3Ah4dTqf4gtFUX9qGjhKwmxe5OSn19PUDCgca1uhbF2wyQ2tYTKKXqdFf0\ndk9cOmF/PYbHQ3xGBlYoRF1JiQEMOJILcHBwcDhBKGyurtKsUIjo5GQ0QwO7wn03s9oOANFsi2zj\noSYSkSy/eG/4OPQSLTSSoFIAHj+cJpgHoa26sA8dFrWYYOcx0NjYCAd2GdarKNu6FL8XDiMcM8KK\n6IhVFvLVkdrF3ieLuBdHH+ZcDg4ODicivVrdiolZ2VhBL0Aj0N2KCJmemgltEDLgwc/C0z1N1FGk\n9aOvNno78MpRWmdbdWEfOkrI6lpNyMiCD2yRxUSCPewKzW22yCLsci96a4vp3KMnAJUb1oOTGO3g\n4PB/g4F127YBkJSbixn2A4QkFMyxGmpA09BSOlscYo9MRAq90nT9B6F/AnCB61aUUo8exbYvbdWF\nfWiTkIlIioj0EZH9Thwpf9JFRLqJyD5zikiGiBTu9lrDXr7QA+197Rbscdjh9wBropNyAGjeuZZO\nXexWZrVbiwEGHuZcDg4ODicifeu220KWnF+AGQoAdDKry0EELSUdpRvFSqnAIea5f2Z4qtFCIz20\nofTVRm8G/n0U19lWXdiHgwqZiOSJyBtADbAaaBCRf4pIym5jLsTeJNyEXU25RESujLwWJSIvAeXY\nar9YRDoBdXFxcbhcLhoaGgAyDrAELy63/SgUBDjcAI01UUm5ANSXLiUpNxelaTTu2EHI7+8mIocT\nBeng4OBwItKjocx2LSZlZ2OZAYAsq9J+Tu+cA3YB4QMiIl1bpOHqT0IvA3CB6xaUUr9VSoWO4jr3\n1oUjr+whIvnYtbgu9Hq9rF27llAoBHA9ME9EYkTkDuyq80VlZWWU2HkKWcDLInIP8ARwVXNzM+V2\nVvlg4F7AXmViYuumXvoBlhFUhstejxmGwxeyjZ74dAulEWgsR3e5SMrLQ0SoLS4Gpz+Zg4PD95iI\nt6xoV/uWjEwQEyDXrLA7tujpOQBrDjHVgx+HXta9NNFbG0lPfdgGYNpRXu7eunBULLLHgORPP/2U\nPn36cOmllzJgwAC++eYbsEs8/Q74i2VZ3HbbbQwfPpxx48Zxww03EOnw+Rjw00AgwNixY7nxxhtb\n5+0L1AEkJSUdKjqlGZfHQtMgGEDMcIyIuNt6cUqpoKYZm6ISMgHBDLaQUhAJw7dN7X5tncvBwcHh\nBCTHV18fF/L5cMfGYnh0lOYCyDUrS4FdFtnqA00gIt2apf7ymeGpAJzv+ilAW2reHi5768KRWWQi\nkg5cEgwGuf7665kxYwYrVqzg/vvv55577mkddhfAW2+9xYoVK9iyZQsbNmxg8+bNfPDBB7vmevDB\nB4mNjW0tAgmgiDRLi42Nbc3g3q+lpZSylKbVqehILpkdgn84uWQAmz3xtucy6K0lKafV1VgCtqg6\nODg4fF/p1lheBtgRi/7GHWi6AdDNLNsKgJ5VALDyIHM89HHoZc1PC3210XTXB68FZhyDte6tC0dc\n2WMQwJdffkm/fv0YNmwYABdffDGff/55q8UFwIwZM/jFL36B2+3GMAwuueQSZs2aRevxb7/9Ng8+\n+ODuc58ONIFtQkZ8oZqIZB5gLT5a3YvhEBy+e3F9a4dpX10pyXadsVaLzMklc3Bw+D7TramiAoD4\n9HQCTTvRXTFIwJdm1VeD4UJLzQhxgD0yEenXINWXzQzbEfYRa+y3Silzf+OPkL11Ib6tnUoOJGQZ\nAKWlpRQUFOx60uVy4Xa7CQS+DW7Ze0xKSgoNDQ00NTVx7bXX8vzzz9NadiSCAs4HWhISElrDLAHK\nZD8ATcoTOT7gg8MIyYyw0RNvb8G1VG8kOd9ea/327Yhl9XVaujg4OHyPyW+u/HZ/LNBYge6KIVxh\n113UO+egNH3tQYI2fvNh6AUVwMdAbRxd9YGrOArW2AHu9SGAvXShTRXwDyRke2+6ARAM2ukC0dHR\nu57be0xNTQ2dO3fm7rvvpry8nClTpnDPPfewdOlSnnzyydZhNxEp2d/aRC07Oxul1D4/d955Z6Jy\n20WQJRiAw6i/FWFddMQia65cR3RiYjg6KYmQz0dzVVUMcLTqhDk4ODgcb3RpqrQr3MemphJoqUJz\nRWGW2tWo9OxCsDtF74OI9G6Umgtnh18D4AL3rQAPKKWs/Y0/HB566KH93u8rKirYq0v0EQmZHdI3\naBDz58/ftb81b948BgzY0xs3ePBg5s2bt+v32bNnM2TIEKZMmcIXX3zBlClTuOKKK8jLy2PSpEmt\nw2qApt0XHB8fv9+FiIgd7AFguzQPt6v16uhk253obyhFRLTEyD5ZQ2kpOL3JHBwcvr8UNEeELD49\ng0DTTpSmE962AQAjtyvAogMc+6uPQy8TxM9AbRz5Wq9lwLvHcrFNTU17C9n+hWEvDiQKK4GyvLy8\nrIEDB3LZZZcxYcIEfve73/H3v/8dgAULFjBgwACuu+46xowZg8vlorS0lMWLFzN16lSioqJIs4tT\nEgqFSE1NpU+fXZrxEPBycnIyNTU1iAitNbb2xjTNkHK1WmR+gHNFZI1Sqn6/B+xLleGJ92pGVIwV\n9iNWSEvKyaFi9SrqS0vIGTKkN/DfNs7l4ODgcCJR2FxlC1lcWhpV6+tRShNzR7EC0LOLYD9CJiJF\nLdJw2WfhVwE41/UTgEeOUk3FA1JfX8/uuqCUalMRjP1aZBHT8Y8Ar7/+OhMmTGD9+vXMmDGDCy64\nAIALLrig+uuvvy7r0qULCxcupKqqitTUVJYsWUKkOdpC4CKAvn37ctNNN7VO/7pSai2RApHBYBCf\nz8crXzyLiFyCvYe26+dvf/vbMhVtexODK+YTKl77Cwn4a0Vkg4i8JiL3ishpIpK+vwrMkTe+2BNv\ntzIL+ep3RS427CgF6NWWN8rBwcHhREJEos1gMM3f0IDSdaKSEgl66xERZdXuBLcHPT03AKzaz+G/\n+DQ8XfPjpY82ki56v2+At4/W2h5++OE97vOtP8OGDftkd12gjfUWD+am+xuQbhjGr26++eZ9Xqyo\nqDgd+CeQlZ+fz2OPPbb7y58Alyql6kXkzaSkpAvPO+88gDDwVGRMQ1KSvca6ujrK07fShf6TgNf3\nOtUGI6cLodWLCC6dR3DpPFBKaWlZ3Yyswm56VuElenYBenoeWmx8nYhswf6G8TbwaUTI1kUlZvfx\n1W3H31BGYra9Z9ZQVgbQsy1vlIODg8MJRrbXLvVETHIyZqABpWlg2VtFemYBSteX712aSkQy/eK9\nZmbIjlQ823UjwB+Oxt5YG9hDF2JiYtqUbnVAIYsIwK9FZBpwMbAeWx2nY+eQ9cDeS7s28jgKO3Bi\nHjBnNxP00sjxhcA7SqnWDPLK9HQ7mnDnzp00dK4CmCQiai/z9RnPyeeeo+d17xNcPh9zxxbM8q1Y\nlTsIVu6A5V9+u+bY+GQtufMQPTVzSNTEC27W07KuBl4GvolOzL2wjq9oqdlMct5EABrLyxCRHvs5\np4ODg8OJTra3rg6AmOQUgt5alNIgEvNgZOYDrNjPcT+bF37T00w9RVo/emnDt2Hf978L9tCF7Ozs\nA5Uv3INDBk5EhGfv8iUPRP59NfLv/t6M1uPDu43bnR1ZWVn2gx07cPUzqLbK8lK1rB7Aut2OLxGR\nQa7CXue4CnudAwyVULCPubNEmTuKCZdtxSwrxqwsRVqaMFuaMEs3Y3mbib/2vvuwhWxdVKJ9Lm9N\nMZn9ksKu6Ggj2NKCv7ExPjoxMQO7HqSDg4PD94Ucb20NANHJyYS8tWi6B7HTmDAKegJ8tfsBIpIQ\nltBPPg7bNRXPMW5EKfX4Ua6peDD20IXBgwdnt+Wgw40APJrsbFXeqqoqeqhUVlsLGK9dNIndhAwg\n8ia+FflBRGKNnC79jJwuQz128vYgEekpDTXRTf94GKuuCuWJAugUmaLUFW1bqCFfHUqpYEJmplGz\nZQtNFeVEJyZ2wxEyBweH7xcFzVVVAMSldSbQXI1meFp7O2IU9ADbg7Y7Ny42ZybUSDmZqpCB+vgq\njm6F+0Oxhy7QxtZdHdWPDKC+tWR/Q0MDUcSy0vwC4MxDHaiUalFK/U8p9Xel1PVKqcFKqTgtKfWu\nmAt+DIBZvg0RCUdax5S5Y21NC7bUAGjxGXYhkUjWe9ejfnUODg4OHUv+7hGLweZKNN2FBANoSalo\niZ3KiaRaAYiIS0R+9lHoRQBOd12FprSnlVK+73DNe+gCbSyA0ZFC5mtNrPb5fLhVFGvM/xGW0HgR\niT7EsfsQ2Yh81ijs3aJi47Gqy7F2lmRhd4Le5o5NNZWmE/LWYFnhqIQM2/Xa6AiZg4PD95MsX+se\nWUoKQW8NSndBOISe1w3gq71iAy5aay3K2SZrSSCFMfq5PuDp73jNe+gC0CYt6EghC7jddiH7YDBI\nLAn4aWGLtcoDnNSeCZVSPqXr77t627Uhgyu/ArhEKRVSmr7NHWeH4Id9jcR1ts3Xpp0V4FT3cHBw\n+P6R6au3hSw6OZmQr952LYaCGDldABbvNf721gr3p7guw608Lyqlqr/TFe+lC4CnLQd1pJB5NU0j\nOjqa5uZmEpXtCl1lzgc44wjmneHuPwqwhUxELonUU9zcWnMx0FxJXJotai3V1QAFR3A+BwcHh+OR\nDF+kfGB0UjIhbx26KxoJeFtLUy1tHSgiwyutkpHLzc8xcDHBuBjgrx2w5j10gSMsUfVd0Ax2yf6W\nlhZile0XXW7OBbt6xz7JzW3kI6Ood5OKS8SqqcDcsSUdGA9sjIq0c/E37CAuUnWkpboKIO8IrsPB\nwcHhuCLSUDPNb+8zEZWYQNjfgO6ORfw+jNxuYfaMWPzp7PBrCMII/QckqtRPlFLr9jv5sWUPXaCN\nrVw61LUI4PF4CAaDeIjGQzTbZR01VnlX2llxQynlU5r+trtfxCpbsQDgR8CW1r5k3rqtxKSkoJTC\nW1eHGQ5liEibTFgHBweHE4CEkM/nskwTw+NBN3QsM4imu1AxsSiXe5FSqglARFKC4r90XvgtAE4x\nLgW7IEZHsIcuAG1qpHxcCJnf70cpFein21tjS8xPwW710l6muQeOASC4cgFimRcCm1pzyXx129EM\nIxidkgIieKtrFI5V5uDg8P0hKWhbNLhj47DCducS3RWDio4DmLvb2IuXmrM9LTRSoPWmi96/GPj4\nu15whD10gTb2n+xIIbPl1u1uVd7QEP0UAJaYnwFccARzf6bndq3SkjsjjXWEi9clAllRCbaQBZp2\nAqhd+2Q11eAImYODw/eHlECkgrw7LhYzbFeh0t2xaHGJAPN3G3vxQtPWrTH6uQAvHKPGmW1hb104\n7i2yENjNOkOhEIA1UB8nOgbrraU0Ss1gESlsz8RKqbBSasYuq8wuY3WKK7aToDRC3lrEMl0xkYr7\nkXpkbcogd3BwcDgBSAj57MRnd3QMVihSzcMTj5aUKsCXACLS2S8t41ebCwAYqp8G8FpHLDjC3rrg\nastBHSlkJoCu6639zrQYFT+/rzYKwWKJORuOzCqb5h5gC1lo9UIkFDhH04xtduSiYAZbiI4Up/Ta\nIaptqunl4ODgcAIQawZsd6IR5cEM+yOP41GGq1wp1RAZd/4yc64exE93bTApWvpqpdSGDloz7KsL\nelsO6kghCwMYhkE4bD8E3hxqnAbA4vBMsIsNt5ev9PSczXp2EeL3Elq71A0E3LF2mH8o0ER0sl22\nyldbB5B1BOdycHBwOJ6IDwUi4uX2YLW6Fl3RALsL1Q8XRdyKw/RJ0LHWGOxfFw7J8WSR6cCbg/WJ\n6BistRbRJHUjRCS/PZNHMtZfcQ8aC0Bw2RcASa0h+MHmKmKSbddiJGkw84iuxsHBweH4oU/jjh0A\nxKalEfTa7Vw0IwpgLYCIJAbFPzaSu8tw43SAGR2w1t058S0ypVRJnEr6qrc2AguzNejjSKyyqe4B\no0HXCa1fhuVrSW8NwQ80VhAVqekVSRp0hMzBweH7woDabVsBSCkoxFdjl1Q0PHEAyyJjzl9pfmmE\nCFCo9SFJpa3tYLcinIAWmQWgaRqWZYHdIRRgRuSbAQvDHwNc0t4TKKU2a3GJc1y9hoII4c2riUqw\n9cpbt3XXHpm/sQEgrb3ncXBwcDjO6NmwoxSA5Lw8mqs3AruE7IvImB8uND8CYLh+OkS6i3QwB9KF\ng9KRQiYASu2zzjeG6Kfsci82Ss2w9kYvRnix1b0Y+PpzopJyAfDWbMEdYyeNB71eaGNLbQcHB4fj\nGRGJMYPBro3l5SilSMjMwluzBZSG7o4F2CAisWEJTVhp2o2Jh+tnQMfvj8GBdeGgdKSQ7RelVGms\nSvyyrzYawWq1yq48ginfcvUY6FWxCYQ3LMcdm4pmROFv2IEn3i7jFWhqQkQ6HUFZLAcHB4fjhZ4N\n5WWaWBbxmZnoLgMr7McVlYhSWiDSKeSsb6yFHj8t5KhupGpZW4HVHbzudtORQqYBWJa1P/WdOsY4\nB4AF5vsAl7dXZJRSzUo3XnMPGQciSEMt0Uk5WGYQ3XBheDxY4TAhr9eFY5U5ODic+HRvLLf7BCdk\nZmGG7OhFV3QSQF1kzLmRGASG6qcCvLVXS5eO4mC6cPCDOggDIBwOYxj2w91ee32gPj4URQxbrFVU\nWNu6A8OO4FxPe0ZOAk0jvHUd0RH3ohn2ER2JXPTW1YIT8OHg4HDi06++ZDsAidnZhANNALhikgF2\niIghIj9YYdrNoQcZEwD+2yEr3ZeD6cIBOS6FTClV61HRH0WyzPki/DbAde09kVJqiZ6cNtfVdyRm\nxXaik+2I/rCvgdhOtpA1V1YCdG/vORwcHByOE3rXl5QAkJyXT7C5CgBXdDLYOWRjtlprUupkJ8kq\nnXzVq5Y9K+F3JCeckLnBbp4WaaQW2Ov1F8Yadt3gL813McW8VETaVEDyAPw5aswPMMu2EpNSAEBL\nbTEpBXYcSU3xFoAhRzC/g4ODw/FAl6bKnQAkZGTga7BFLVIMYj0weZn5OQAD9XEopT5QSrVJML4D\nDqUL+6UjhSwOoLm5mbi4OICWvV7/oIc2pKqzyqVeKllnLUoEzj2C832g53YtkXCImE5FgKKpbCXJ\n+QUARL7BtKt1jIODg8PxgIhoItK1KbJHFp+RQX3J1wDEduoCsAq4cLE5C4DB+kSAdztirQfgULqw\nXzpSyKIBfD4fMTExAN7dX1RKhZRS00ZHgj7m2r1yXhORJ0TkThH5kYhMFJF+IpImIgdNnFNKmUqp\nf3gGj4WGeqKScvA1lJKQaW+LNVaUg+NadHBwOLHJ99bURIcDAaISEnDHxtJUvgqlu4jP6C1AxU5r\ne16ZbCaGBHprI3zARx296N04qC4ciDZlTR8jPAB+vx+PxwP7NyFfGKufd8d/Q8+w0PyIgN9LplZ4\nV7JKJ0GlkKTSiFfJJKpUYohHRKqAEqAcWAA8o5Sq322+590DxvwmuHaJEZfWnbrtC0nMtoveN+7Y\ngRUO9xSRKKWU/5heuYODg8OxoU99qe1KTMzOIexvBCA+oy+a4dkE7CpJ1VcfhaFcnyql2mT1fEe0\nRRf2oSOFLFFEaGpqIj4+HqBp7wFKqRUisvAs4/oRH4ZfYLk1l+XW3H1nap2Q1LQULT0tkVQGGRPO\nGqdfeJ2InNladkUptVNE3sM0z49L70X1xs9QKkx8RgZNFRXUl5a4UgoK+wOLjtVFOzg4OBxD+rRW\n9EjMycFbZ0cvJmUPAvgUuKA17H6AfjLAJx2xyINwSF3YHx0qZF6vl3A4TLJdhb7+AOOuvsR95z8n\nua48aaX5BY1SQ51U0ig11Es1TVJLg1Tjo5kGqmmwqgFYHpzLZn1ll2vcv5knIucopRZH5vu3npl/\nfnyCXdWjuWoDnQqLaKqooKa4mJSCwsE4Qubg4HBi0q9u2zYAknPzaCxbAUBizmCAj5ul4eZ11mJ0\nDAbq4wHe7qB1Hoi26sIedKSQpdTV2bl5B1uwUmo9MFZEup1snD8OuyZiTuTfzMi/GaaEExqkWtXK\nTrZb63g19DjzzLdoDNam3+x+7HMROU8pNQv4SM/M3675mvPcsal4azaRXFDA1q8WUGcX2ex3rC/c\nwcHB4RjRo6GsDICk3Fzqt39FVGI2nvh0E8haYc7DwqS3NpI4lbhQKVXWscvdhzbpwt50qEXW0GD3\ndku0q9AfdMFKqY3AxgO9LiJGisrISiGjsKs+4J5sretZTwVuY7n5OY8Hfhzzc8//e19ELlBKfSAi\nL5hNDb9JyhuBr247ybmnArsiF/scpetzcHBw+M6IVD8qao6E3senp1OxuoJORScBVACTl5lzABis\nTwB4p2NWelAOSxda6cioxU41NTXALuWtO+joQ6CUCiultiul5gLn9tCHPPZA1H9IURlsspbzWOAG\nd7PU/1dEfgS8qCWkSGrX8fjqS0nKsSt9RDZJ+zg1Fx0cHE5AMv2NDSn+xkaMqCg8cTGEfHUk5g4F\n+CYkwYmrIkWCB9lCdjyF3bfSLl3oSCFLqa21m72lpqYCVB+tiZVSllLq3kyt8Ge/8rxEmsqh2FrD\nI/6rjRqr/D/AeVp0zIdR7mQMTwJRSfEYUVH4GxrwNTSk4nSLdnBwOPHoX7fNDu5Izs3D11CK4Y4l\nNrkLQOkaa4Hbj5c81YNULWsz8E1HLvYAtEsXDilkIpIsIg+JyGwR+VRE7hGR2AKyXG0AACAASURB\nVL3GjBSRl0XkSxGZLiKnRp7vLyK/F5EXROQ3ItJzt8PSqqvtNaakpMARWmT7Qyn1VJqW/ZNfeV4i\nW3WlTDYzJXAFFda2J4FqCQbo3OsM/A2lJOfZZavqt28H6Hu01+Lg4LAvItJZRPI6eh3fE/q01lhM\nysvDV19CYu5QlKGHgbRF4ZkADDMmwfFTJHhv2qULBxUyERkOFAO/ASYApwCPAetEpIuIKBH5A3ad\nriuBMcAPgVkiIsAK4D7gGuAhYK2I3BaZPrWqyq4B1rlzZ4CdbbrMw0Qp9VyKlv6jX0e9FOqmDaJW\ndvL7wDWUW8VXa8lpjUnZgwk0lZOUkwNA3fZtAAOOxrkj70+0iBx37XIcHDoSEfGIyF+CLS1l3rq6\nbSLyx45e0/eA/pH7F8l5+fjqtpFSMBqltDlhCZ2yPFKWapg+CWBGh63y4LRLFw54g41YXe8BiXPn\nzuUHP/gB5513HkuWLAE7avAV7O7N9/r9fh555BHGjh3LfffdR3NzMwCBQIC//e1vXH/99Tz33HOY\npgnwVxEZAKTU1NQQHR1NdHQ0QE37rvvQKKVejVWJZ97tec7bUxtGvVTxe/+1NEldAi0taLqHTkVd\nAKjZshmOsOaiiAwSkUUiErTCAa+IZYpIs4hsEpH/Razb90Rkmog8LSK/E5HbRaTLUbhcB4fjmkgV\nno+2LfzfHdOvv0Z/5647sMLhu0RE7+i1neAUNNnFz0nIzCTYUkN8Rl+ADzZay6JbaCRTFZKpFZYC\nSzpyoQehXbpwsKjFq4DOixYt4vLLL+fZZ58lGAwyefJkli1bRlpa2ihgFMDtt99OQ0MDjz32GFOn\nTuXWW2/lxRdf5PXXX2fx4sVMnjyZF198Eb/fzx133AG21ZZVXl5Oenp66/kq23vlbUEp9amInHmn\n5+kP/xK4NWattYiH/Zfyx6T3iXEX0cm0M+AjQjayvecREZeIvFO/fVGuJ74znvhMrJAfscKxYpld\nEKuLWGFM+zlAEBFQiujE3N+LyOBIyoGDw/eVkyvXr5sw98knAAj5fKCUSRvb2jsckMKWKvs2Gpea\nhhXOQtONamBgaxL0IDt37L3j1K0I7dSFgwnZ2QBPPfUUjz/+OGeffTYAc+bMYfr06dx2m+0hrKmp\n4cMPP2Tz5s14PB4GDRpEVlYWXq+XK664giuuuAKwa2ctWLCgde5UIL28vJysrF1xFcc8n0EpNVdE\nzrjL88yHTwVuj1ttLeDZ4H3cEv0YiblJKE2jsaICMxjME5EYpVSb6nztxX1mOJS7Y2UFJYvfo27b\nVpSmobtcaIYL3WVgeKLwxMfhio7B8Hhwx8YSnZRM91PTYnSX5zbg1qN97Q4OxxFBpX1rfKX16IGm\n6z7A7LglndiISErQ25LbXFWFZhjEpKYg0hvgdVPMyxeb9v7YUNuteLwlQQN2wWPaqQsHE7JCgJUr\nV/KHP/xh15Pdu3enuLh41+/r1q1jwIABrXWxiIqKIjMzk9LSUrp3786cOXN44IEHKCkpYdasWa2H\nhQGtvr6e7EitQ8Bvb6vtiTqcNqFtQCn1hYicfofnrx//NXBH/GJrJpu5mkK6k5CRSUPZDupKtpPa\npeu5wPTDmTuyH/br5dOn880H7+3xWsjnO+Tx9aUlnHz7z64Vkdsj7cgdHL6PLOrUpWjXL1HxCYhl\nJilNT+EYbjF8zxlUu3UrAMl5eQRbKonP6APw9Tpr0c31UkVnlUuR1rcSmNOB6wRA9nezj7CbLrQo\npY5OrUURwbK+vaeGQiESEhIO+PreY/r168f111/PlClT+Pzzz+nevTtEwturqqro378/27dvJz8/\n/0BLeCjyc9RQSi2IiNmHzwbvS3o68HP+HPUJnYqKaCjbQW1xMalduv5JRF47TBP8z2Yg4Nk01/47\nGXXTzeQOHYamaZihEGY4hBUKE/L7CDQ3E/b5CPn9BJqaWPbaq2xdMJ++506OSSkoPAt7f9LB4ftI\nvrabRRZsaQb7+6pjkbWfAXURIUspKMQMtqDprq0i8rtPw68CMNo4B6XUa8dD77GHHnqIhx9+eI/n\nunbtysaNG3fpAlDb1vkOFk1XAZCfn8+GDRt2Pbl69eo9RKf19VaBbW5uprKysjUHgNTUVK699lqe\nffZZXnrppdbDisB2S6amptIapfJdopT6yqU8437qfrxyouuHVFFGcqTJZu3WYsQMZ2MHprTJIhSR\n7pYZuqlkydcEm5tJKSik24SJbIheznz3B6yPW0F5chnN6T5UfgwJfQrIGDaALiePo/dZZ9N1/AQA\ntnzxBcC9x+iyHRyOB/xW+Nt7qb+xEaU09upU4XB49N/VTDMrG1d0MpZYydNCf8xaas7GhZsJxiUA\nz3boKg9CUlIS8K0uAG0WhoMJ2ZcAF154IY899hhNTU0sXLiQ9957j8mTJ+8alJubS6dOnXjllVcI\nh8Pcf//9TJ48GcMwuOmmm/jss88QEVauXEm3bt1aD2u2LAufz0dcXNyuKMfvGqXUSl0ZA89x3fhy\nDPGkdukKQNXGDaAUYTN4K/ChiGQfaA4RSReRKSKyxgz51MbZ9qZq14mnsCr8JU8Eb+bF0G95MngL\nUwKX80v/udzpP5Vb/KO50TeUm72jCZshCkaNBqBkyWJEZJQTweXwPSa/duu32xONZWX4m5oQkdwO\nXNOJzoSmnRUAxHfujDsujeeC9yXODE/FwMWP3b8nSaVOVUodj0nQAMTFxbG7LgBtFoaDuRanAg9c\nffXVbNq0idzcXNLS0nj++edJSUlh+vTpJf/4xz8yZ8+ebUydOpUbbriBW265hYkTJ/Lss7bo33DD\nDVx11VVUVlbSv39/pk2b1jr3itra2lFglyEZN27cu8Dk/a7iGKOUKgeuFpFXo4qiP1KaRn1JCaFA\nEK22guIM7xk5WtdvROQe4PlWV2PkQ3dXUPw/2WqujSqSXvjrvVSsWY3udlM4egwBPcjfouftqtjf\nLA00SS1NUkcLjTRJLX7xssiayYhupxOVkEBTRQV127ZqKQWFjwN3dcR74uBwjBlZtfHbsqkiwo5l\nS+ly8rjpIvIzYIVSKthxyzshyWnYsQOAhMwsqinnf+aHRBHLHZ6/0lsf8QZwY8cu8VsefvjhfTxd\nc+bMubi6unoGHF7BYDiIkCmlNojI3bqu/+nRRx/l0Ucf3eP1MWPG/OO6665bBHzSvXt35s2bt88c\nw4YNY+3atViWhabtMv5mAusqKuxvDxkZGWA3wuxQlFIfi0hFYk5ORv327TSUbCclJ4v85hDPRT2Y\nMMm4/Lkuev8LRWQKcKVPmq+ZE37dtc5czB36kwSaytkw265jlj9yFJ64uFIPnA5UJ6iUjBy6ZQIp\nQGfsqM1k7Mr9KcCpIkLeiJFsmDWT4vlfkpifd6eIeIGHjgeftoPDUeRHlevWAnbibt32bZR8vZjC\nsSeNLpWNi3JUt4CILMcutPAFME8pddRK2LWXSGWi3thJuouPltiKyATgnsjc04GHlVKHjg779viB\nQa9Xa66sRDMM4jMyeCH0W1JUOnd6niFP6/F34GfKTnE4nslsry4cNNhDKfVE5A/qIWArcBZ2xeSY\n3Nzc+71e7zPY4ZGzgPHA/4D+wDPAW8CDwCWapr0HnAz8G7syyL3Hqs7iETK3U0HhD+u3b6emuJi4\nznGotWs4c8Q1POS/jHOMGyad6rps0uzwDGaGpmJh8ojnLaxQEFdMKlvm2U0/u59yKsAtu5nxlcDK\nA500Euq/reiksam2kM1n0KU/Yi2Lf91LHzZKRC5XSlUc86tvI5HE7YuwfdjvK6WOaQ6gw/cHERlg\nWdag8jWrARh29TXM/N3DlK1YjhUMs1MvYUrwSk++1ntEN23giO764J911wazm7AFsO9bbiAW2N0F\n74n8WJGfpcAbwDftzZuKuPjPAW6vtXZOWGctJlMrJF/1bBGRqcBTSqm17Zx7PPBQhbV13Duh59hg\nLeVC1233jtLPulJEngL+n1KqLY0l/9DagywpJxfN0Cn1b+QBzzRJ0dLvBp48jvPGdiepvbpwyKhF\npdRnwGd7Py8iGdhh9L84iMXwE+AnIqJ2fyNFJLalxe6uHRsbC4fhCz3GLOzUpesPN8+bS/XGDWQP\nyCM6twtZWwOcnH0e74Sf5Z2w7TZVKH7leYmkaotG/zc0V2n46utJzMomrXuPcuDDtp5UKeUVkZNS\nu3VfF5uaSkt1NVUbNkB3eDv0zMRzjZuWR8Rsn/+HQyEiHiBKKdVwuMfuZ64E4Ndeab7zq/D7rhiV\nwEB9nCUibwL3KKW2Hek5HL6/iMjIkIRmeisqCTY3E52URHrvPqQUFlJbXEzF6tUM7T+ONcY5zAnP\nYIO1hA/C/0JDp0jrN7CrNmCghYWFSZgQAfFiYaFQCEKYIGEJotDQlE4Pbci5Q/XTHkrVstaJyDTg\nJaXU9jauNQW4TkRu2WytKJgZ/g9fm7MwsW91CaTETjAuuWmi69KbRGQm8Bfgk0OlzUSCx84C7qmw\ntp38TuhZvjI/QLAPey54Hx+pF7LOdF33x+H6Gb8UkX8Cfz/QZ0tEMoHTaou3AJBSWIiPFu6L+pcv\nSsVeoZR6qy3Xe5zQbl1odz+yw7EQ9vNtIKGpyf6iEWlnfbwI2VdpdnoAlRs24Im/nFDQi7VoNlfk\n/5Jl5hwaqCGRVH4d9TKdysNYyfEYJLLpc7sjQpfxE1BKvXy47kCl1HoRqSsYNTp5zXvvsm3hVwzt\ncTX/Dj/IevPr9Jvcf5glIr/HdjWGDjRP5INSiG0Z/ygcDFwoloiI/E4p9fCBjjsYkUTFayyxHv3S\nfCf9jeBfaIik+7jwaD8wrrn4bNcNZ4vII8Dj38X+RuRGcy52FZaVwL/amnPi8N0jIqcFxPffEmt9\njLXW/qLduUdPlFLkDRtBbXEx2xYvJLN/H64M38VYz/ksMT9lvbWELdYqNlnL2WQtP6xzLjVn82ro\ncYq0fj1H6+f8dpRx5sMiMht4Abto7j7uOxHpBdwRksBVC82Po2eF/8NWy3asaOj00UayU0qolh28\nE36W98P/ZKR+5qTTXVdOytd6rRGR3wFv7O3Gi1h2FwO/LLbW9P849BILzY8RLHQMzjSuZ7h+Ojtl\nO/8J/ZFng/fyhnoq6RTjsrvHGRfeJSJvYX+2Fu0252BLrA+UoNVEhKxTYRFRxPo1pY3ffewJQrt1\noaMaa8bvteDGDlrH3ixLzsv3G1FRUc2VOwkHNWqLv6Bz9/5YS+fzxNCZ1nzzPW2ofhoxzSKhqjWq\nvnEtidknUbpsKUrTKBp7MtgflPbwdN7wEfevee9dti9ayNArr+Zq1/08HryJB/wXqhs9j/xqgH7y\nKSLyI6XUFhGJw/ar98UWrv4i0r9WKjpVyFZ6mIOZdtUVxKamccHf/v6QiEzCdu9OV0q1tGVBIjIU\neHqTuXz4K6FHd32ou2gD0DHYYC3h3fBzzDffjb7C9aspg40Jl4vIjUqp+e18Dw60Dg0Yhl28+rSw\nhMYDWr1U0Sz15Gu97haR3wDTvsu9ABFJxa452hn4BFjoJLPviYhc2iINLz8VuMN1t/tZvt74bwDS\nuvdAxJK8YcPV8hnTKV3yNXLddVC7k6LO3f1d3P3eAnr5pHngWnOxKpPNGLjR0NAx8KhodAwEQaEw\ncONSLkTASxPLzDmsML9gi7WKLdYqpoceV4P0CaeMNc4/pa82uj5ipf0b2wU5Hri7QarP/Cw0nTnh\nGTRG0pjiSGKccSGnGJfSScusFhHWW1+nfhJ+hWXmHOab7zLffJe+2ug+k10/md5dH7xFRJ6IzG0C\nlwG/3Ggu6/lO6DlWWfZeuo7BGP08LnDdQpLViZZXnyItI5+HTnmNR/xXUiklvBZ6grdDz2jjjPMv\nOt246iIR+Qr4F5Dgl5ZHiq010T1kIK1RoCmFhWhKu+4EFDE4Al3oKCGLaw25P9wwy2OJUiogIovS\nuvc4uXzlCnau/QZFI1qv3rT88xES+o0Kj4+66E9iWTe0fPh056hzr8bcOIutCxYgpkn2oEHEJCd/\ndQS1Eh/t1KXrr+PS0lRzVRU7135Dr6IBnG1cz/vhf/HnwE85zbh8xA9dP98sIrUB8aWUSzE7rE1s\nt9ZTYm2g1NpIA9Xc6XmGJVNfAaClugpQ/Nn/09HjjYtGD9DH/UlEXgaePZB/X0QSgd82Sd0t04KP\n6QtMOz87WaVzietORulnoZQKbjCXuqcGf882WctTwdsYap7a60r3r78Qkb8Dv1JKtfv/NuIWHQdc\nICLnlcrG9LXmQhqklklVFzHrkd+SmJNLn7PPob5PVWED1S8X6L1/KSIPA68fK0GJWL3DgTsC4rto\nsTnT1SDV9NfH/iZHdasSkY+BT7FdTcekq8N+1pSIHThUdSTv+dEk8j7dXWtVPPZE4Ga6agNwiWG7\nzbGFTCltaWJOTn5CZmZqY3k5Ves3kto1F9/sN6OiJ/3wFKXpI6NVXMtgY8LEwUwoBILYWxohoCXy\nWAGCvX8WwE4ryhljnHNuQHynLDPnGF+E/8sa6ysWmzNZbM4kRaUnnaSf99OTjMk/TdfyKLM281Ho\nRRaY7xPGdnjkqR6c6voRo/SzAm4VNQ34q1JquYi4eurDzu+pD/tZpVUyalZ4GvPCb7LaWsDqwAK6\nagOKzjZufHqgPu5pgG+s//F+6F98Y/0PADfRTDQuYZJxBZ20zFnAaWZDFZ7hpxJau4Qklcofoz6o\nWWHO6zQrPJU11v+YFZ7Gp+HpDNLHj5po/HBUSIK8Gforv456CTNg0VBaitI0ku0c3xO1mEK7daGj\nhGxXO+tIBZDjxSIDmJfes9fJ5StXULluLUVju1O9ZS6J/Ubin/tfd/Tpl/3KP+dtXPk9qdr4Kcl5\nI1j++jMAFJ10MthdAdqFUsonIquLxp7cb+Vbb7Llyy9ILyrkQuMOM06l6K+HnmRW+D/MD7+LC3dK\nI7UI++7hFqo+9PYPYcacb3Mfgy3NbNW+4ang7aSqrKSxxvm3jzcuvn1v/37k5nOpJdaf5obfyHoj\n9FeaqceFmzOMqznbdaM/SsU8DvwR8HXXB1/7m6hX//BZ+NXUN0N/42vzU77xLVKXue+5bax+3rkR\n62zWPovcDxH3SzZ2u6CLLDHHb7ZWxiw1Z7PYnEWVlAJwkesOihfMx1tbi7e2lvKVK+j1g7NwX1HE\nY/4be13oun16F73fL0TkQeDDo7XRLSJR2NbXbTut7UNnh19jbvhNfJHP24zQk3RSmWn99ZOu7KON\nvrK3PgIRWQN8jp2XOUsp1a4STBHruyt2MYEioCDykw/k+aQ5oVnqSVApiEglsB7YAGwE1gFrgC3f\nlbUoIi7gme3Wuhv+HLiFRqnh58b/IxQI0FC2A80wSC4oAHvfqlv+yFG3rXr7LbZ+NZ+EzFNxd+2P\n772X0qPPvfZjpdQYpdRr7VjGMyKSMtI489KRxpnX1loVQ+eb7zI3/BZVUsq74ed4N/zcHgcoFIP1\niUwyrqCnNqxEKfUM8E/sm+ovRORmYB7wX6XUDBEZfrn73jvPdd10yazQVO3T8DQ2WSv4S/BWUlU2\nIQnQEIlZiCKW04zLOd11pcSr5NexP0O3Ne1cy9b5TxOdnE9yv5FEhYJoLvdng4zxnw4yxt+23Vrf\n76PQiyw0P2KpOZul5mwAslVXoqxYqrdtRERIzsvDcHtKjpcvMu2g3brQUUIW09zcjMfjwTAMOE4s\nsghz03v3vh+gYs1qBl58Dhs/+z1pEx6k8c93oXXOJbDoM+Lu/CMNcx4jPuMkqjduxPB4yBkyNAy8\nfoTnf6JwzNgXV771JiWLFzHi+huxNq/Wf9Dt6nU9tME9nw3ex06x9311DNJVHtlaV3K0buSq7uRq\n3UlTOeGl06YaVujbrbTyVau4cdgjvByaQqWU8Hboad4NPcdI/cxJp7kun1So9dkiIh8BA7db68a8\nFPwdm6wVAPTWRnCN+zeka3lvAT9XSm3dbb3/EpH/TnJd+dgQ/dTrXgz+lpXWF/wr+AALtY/yr3U/\nNFNE/gXcrZSqjwhlBtAd6IV9c+4JFFhida2XSs8WaxWLzE9YZc7Hy7dBWwmk0E8/iZP0ySzZ9DwA\n8RkZNFVUsOnz2Zx3xcX8xbqN3wYuY4h+yuDzXbe8n6t1nysiv1JKLaCdiEg+cIsl1rWrrPmps0PT\nWWHN2/UlokjrRyeVyQZzCTVSzpzw68zhdRSKAq13n+7akD49taG39NJHiIh8DczF/puPAuKAeOzP\noivyXKuFYV829AyIL6NSSqiySqmUUqqllCopo9Yqp1rK8e72mU9SaZ0zVEHnDK1gbIbKJ1MrIFt1\nI1VleUVkLfae4hqgBPtm0YJtyfixLZww0ICdxxM83C8CIhIPvL7c/Pz0ZwL3EMDHRa47SKgKsnOn\nnT+WUlCIrmsA7wI5BaPH3Lbq7bfYtmghQ666krCrAbOmgsC8d3tEjZv8noic2p4i3kqpWuwo6mdE\npM852o+vO8u44ar11tep88Jv87X5KUHsrbKT9Qs4y3U9GVr+QuBJ4E2lVDjyBev94PL5Z4Q2r8Ld\nZ/iPjW4DGkXkZqXUNOAyEfnNB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xSteI5ex9+HeeeGBGNW7jJlCXnf52oxGsyh1G7QOn3i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\n48aNvP/+++T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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.karate_club_graph()\n", "# Continue here\n", "# Explain the results\n", "\n", "fig = plt.figure(1, figsize=(7,7))\n", "ax = plt.subplot(111)\n", "\n", "alphas = np.arange(0.1, 0.9, 0.2)\n", "\n", "for alp in alphas:\n", " pr = nx.pagerank(G, alpha=alp)\n", " prval = pr.values()\n", " ax.plot(prval, c=np.random.rand(3,1), label='alpha {0:.2f}'.format(alp))\n", " \n", "ax.legend()\n", "\n", " " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+YIzV0oKAw4F/ixZwc3NDUlISnJycKsSo3AnjxuF3BZPsfiIENmlS3ofy3WP3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\noMGjl+vYt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cLUqWjbtm1tl0pETyGGLNUbN27cQEZGBgoKCmBjYwNXV1eoVKraLouInmIM\nWSIiIolwTJaIiEgiDFkiIiKJMGSJiIgkwpAlIiKSCEOWiIhIIgxZIiIiiTBkiYiIJMKQJSIikghD\nloiISCIMWSIiIokwZImIiCTCkCUiIpIIQ5aIiEgiDFkiIiKJMGSJiIgkwpAlIiKSCEOWiIhIIgxZ\nIiIiiTBkiYiIJMKQJSIikghDloiISCIMWSIiIokwZImIiCTCkCUiIpIIQ5aIiEgiDFkiIiKJMGSJ\niIgkwpAlIiKSCEOWiIhIIgxZIiIiiTBkiYiIJMKQJSIikghDloiISCIMWSIiIokwZImIiCTCkCUi\nIpIIQ5aIiEgiDFkiIiKJMGSJiIgkwpAlIiKSCEOWiIhIIgxZIiIiiTBkiYiIJMKQJSIikghDloiI\nSCIMWSIiIokwZImIiCTCkCUiIpIIQ5aIiEgiDFkiIiKJMGSJiIgkwpAlIiKSCEOWiIhIIgxZIiIi\niTBkiYiIJMKQJSIikghDloiISCIMWSIiIokwZImIiCTy/wFI2/6pJNMTwgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "b) Do the same for the number of iterations" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Continue here\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "c) Plot Page-Rank vs. Degree centrality" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1CrfbTWxsLDExMURERNCtWzfS0tKwLCtgJQErhHkwGAyGIwVflSII7QyJwZB0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\n6p8SPqguKQ0Gg1y/fj3nzp0bus+EHTp0OH7ixAkGg0F+9dVXfO6557h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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Continue here\n", "pr = nx.pagerank(G, alpha=0.8)\n", "pr = pr.values()\n", "d = nx.degree_centrality(G)\n", "d = d.values()\n", "\n", "plt.plot(d, pr, '*')\n", "plt.xlabel('Degree Centrality')\n", "plt.ylabel('Page-Rank')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Task 2." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's switch to a bigger network. Download [political blogs](http://networkdata.ics.uci.edu/data/polblogs/polblogs.gml) network. Check its basic properties. Run HITS algorithm. Try to inverstigate the top nodes." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Continue here\n", "# \n", "G = nx.read_gml('polblogs.gml')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "G.is_directed()\n", "A = nx.adjacency_matrix(G)\n", "\n", "P = nx.DiGraph(A)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "(h, a) = nx.hits(P)\n", "a = a.values()\n", "h = h.values()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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OoXqMwojqwd5SRVHqbZY3x/LXjJYY64jV3mNQXVedB9Sn7N+/H1FRUQgLC0PXrl1/h6qE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\n9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(h,a, '*')\n", "plt.xlabel('Hubs')\n", "plt.ylabel('Auth')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "54" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "idx = np.argsort(a)\n", "idx[-3]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'id': 54,\n", " 'label': u'atomicairship.com',\n", " 'source': u'Blogarama,eTalkingHead',\n", " 'value': 0}" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.node[54]" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }