{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Computing Integral Image\n", "\n", "## Formula\n", "\n", "$I(x, y) = i(x,y) + I(x-1, y) + I(x, y-1) + I(x-1, y-1)$\n", "\n", "where -- \n", "\n", "1. $(x, y)$ are the co-ordinate locations\n", "2. $I$ is the integral image\n", "3. $i$ is the original image " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "# Load the required modules\n", "%pylab inline\n", "import cv2" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def imshow2(im_title, im):\n", " ''' This is function to display the image'''\n", " plt.figure()\n", " plt.title(im_title)\n", " plt.axis(\"off\")\n", " if len(im.shape) == 2:\n", " plt.imshow(im, cmap = \"gray\")\n", " else:\n", " im_display = cv2.cvtColor(im, cv2.COLOR_RGB2GRAY)\n", " plt.imshow(im_display)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UTOWE0+011OioHhJFNRoN3HPPPSYMa7W6lerhcLhnacbW1pYZLzV+Pp8PGxsb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\nHNw85piQ6CPsdEbr1GIwCuPcdKAxisb7BxpLUPj5JFsvXryIRCJhHI/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OS6wXOSAVwlAo\n1IDUeDg4aNDtrhe78p6ICDjbq1Kp4Otf/zri8bitB9eI+8mAAYAGqK+Km/WGRBu6B8CWcaFCZooD\n27dyTNDS0pIRxxyYSIVI3ofkMVF8tVrvUqC9n8mfra2tYWFhATt37kQ8Hkd7e7sZDLbxTafTCAaD\n8Pl81nLW5XLhhz/8Id566y37HqLQUqmEnp4ePP744/jxj39sUTq67mrstkMhyg+Sc3SiUF7Kv23H\nNakCU7LcqaScr91uD53XFWkVG4vFngbqD64V1k7UQIJYFYhCQ6CxT64qFRVSfpdzkfVnvPR3fJ8q\nxu0IOHX5FNrq4aJ1oHKk4iLq4x/ONQO2ooDkKZqbmxGJRBCLxVCr1Uf/qECwOTxREb9LeRIKJ5uh\nxWIxAFt5NqqUqXiArX5FbNjFVhmhUMgyjaPRqLWxpRvI7GGv14v+/n78/d//vX2uugYMPGznaiiC\nIQLQMDIVtSrzWq0+ADIYDOKee+5BLpez16ysrBgHE4/HUSgUsLi4aOtGt66pqQnz8/M2nJJTd6kM\nmMSYyWRszPZzzz1nPFRrays6Ojqwe/dua+Hr8XgssOByuXD06FF86UtfMsXNgQI+nw/pdBpHjx7F\n0NCQcXOzs7MWBVVeR8lnp8ulikQVgp4n/k4jXOp+qZzp76n0FKFS7vUeBL1t2yr2iikidUFYd8OH\nVcumYXZg6+Ar0c3XAluKiYvPz3YqFH0tXSqnZaZSUYW2XQRHhUFzo5RLUoTjJGD5f24kSXt+NjmQ\n/fv3m0uj4XC6EOQV+L7NzU3kcjnjadTCs30FQ+0A7ICRZK7VaqZISNS2t7db7VYikUBPT49NduVh\n29zctFls1WrVemP/+Z//+SUchO6Rhn6d4Wbn+is3yIsuNWXE7/dj3759di+cG8Y1pNJn90SiJiqi\nTCaDzs5OtLa2olQqoa2trWHsValUMhd1Y2MDx48fR0tLC1KpFC5evIiOjg7rmMmUlKWlJaytrWFm\nZgaHDh3C5OSkPQf5Ir/fj7GxMSSTSQwODtpAzUcffRTf/e53L1HWznVRmVR04kQrynuqC6WXM7ii\nCku9EfUWeGl5FF+7eZm5Zlds0isfnMqIg/eohSkczkPvRDWEnEpy8sHpOyv/oMpDE+3UIjMiRISg\nipD3wkuJOfWreZB4b850AU0V4D3xeavVKh5//HH867/+K8rlshVF9vX1YXx8HLVazWqX+J1sD+L1\neq2lLEPEHEeUTCaNXKVbxcgSrWwgELCaMyorFnt6PB4rKVlYWLADu2PHDkxOTlo7Eib3aQb1+vo6\nZmZmrEMj0TA5IT0gRHNca0U/3HsqE63uJifCz37ggQcwOzuLn//857ZHg4OD2Lt3r8kZExdJ8ofD\nYSwtLRm/xgZmlC22AGFUlImhqVQKv/zlL9Hc3GzKeWFhweTa6/UilUrZXnCNW1tbDSEyZ+zQoUO4\n5557LFVjdXUVq6urGB8fx7PPPou3v/3tFlRg7hPpDc1vU2XPtVQ6g2vA1ziNssvlsjo9/Z1Gtuni\nMcDEnvPcC/UGfh1hfUUQUSQSeVq5GhKW/L9mZgJbkSv1WYFGP5kWlQpFFQ4Vgb7PCRkBNKAgdbmU\nd1GEpJqeCnC7JMrtrImTtKMFpzJ64403cOutt+LTn/40hoeH0d7ebqiDoWclCgHYunm99ZHH2WzW\nyGgeXPIVzAFSl4v3QYFmFjA5Ga4fG7BpfyFyeIzU8f/MwP7Wt77VkCqhRKtYSxNYrp9ab76fB01d\nYXUp2XP79ttvNwVDWUilUhgbG8ORI0eQSqXQ0dFh9V/hcNiiaNrILJ/PIxaL2eeQn2PC4fz8PLLZ\nLCYnJy2CxnlwnBdXLBYxPj5unJXX623Y76amJpw6dQrlchlDQ0NW28fvZDIke5WfOHHikpIJridR\nNHBpSQh/zrVV5K28Dtdb2/DwfdvlyPEZlKjWMysG5epyzTQcz8VWjUvBpzYGtlwXCq26PsBWyr9G\n0hSxUMAVnShhrS4bX6NRDR54HlqFyNuRcc738Ds0RM8Np0tBVysUCiGVSuHb3/42mpub8fLLL6O7\nu9sOFgDr48R8IgqNjsiZmJhAIBDA4OCgteWg1eJIolqt1tAkngee7orb7TaXhvPZ8/m88RwcuMgW\nGNoKI5/PI5lM4stf/rK1JGFAQl1mFXx1x/SQaIoH0TAVGg9Yc3Mzcrkc2trasHfvXmtTSzmgBW9t\nbUU+n8fRo0fxyiuvoL+/H5FIxPKDNAWBSaAALK2BDeI2NjZw9OhRHDt2zCJia2trpshYIEtjubm5\nafPpeP9zc3M4e/Ysurq60NzcjHw+b+45OygwFWFjYwMPPfQQ/u3f/s32UaPGjC47qQwNrujfevac\nXKyTcqB34Mzx4l45aRT1QITLvXoUUXt7+9N6g5rvwgXiId0ui1RzgnRR1V/VKAov3TTN/HQiGH4P\n0FgFr76xHhan3+1UasqD8DOU6CMvwJ8TgVSrVUQiEczPzyOdTqNUKlm9V3Nzs+XBVKtV6zvMCBkV\nPF2HqakpLC0tWX4LDwJdLpbMaM3cysqK/aHLxTB+oVCwJmGshWPPHR5mKqvDhw/j/Pnz5iryOXVP\nlNeie8G9UcSje+xM1QCAcrmM4eFh3HDDDZZ4yf2sVLYGIdLgsfRidHQUhw4dQrVaxZ49e4w4ZmEs\n18btdqNQKNi8ueeffx4+n8/GKzFcr8ETIlAS5Sw0zmQymJubs0koRB40ACwSJr9FJbO8vIylpSUs\nLi7aeqqCIFJ2onmnTHJd9HXOddU9otw7DTB/rihM36tK7apCRJ2dnU8rUe3xeAzuOR9Uw/lA40En\nktAH1dwfXRhdEGDLcjhRDC9nMzNdWH6WU3nR5dLInxMS633SYrALIH1yIgRFANFoFIuLi5b7w4xl\nRQdsPUHLTngPwBQJBbStrQ3FYtHIZBbP0moXCgXjLZaXl00ZsfcQDyaNCBuFpVIpm+xRLBYxNTWF\nH/zgB3jiiSfwxhtvNCgGpmzoQaKCUETL9SBJrLlEevgqlXrf51AohFAoZFyVco90GYm+uG9s9zE5\nOYnvf//7uO+++6ydrQY8uK4nT57EkSNHkMvlsLi4aC4LEyFVwZKjZNpENptFPp83HhSoH2i/32+k\nNlvaUnaoxGmkP/zhD+Nb3/qWGWXNkyM3w/XT88FLkaieN166Xlwj5Us1qVQ/YzvkpUGiy5HVV0QR\ndXR0PE0LR4vHheBCKmJRoloP93a/18VTrkgXRt0itQb6++3QlFppfo8qC6IJ3odGFZSvUmUUDAYB\nwIhnEqCajcoDQOUxOTmJ4eFhuFz1ee0+n89q0SKRCLLZrJVpsFSDkTK3243FxUV4PB6EQiFr/0HF\nQI6DhkGVF5HB5uam1ZLR2hMRFYtFZLNZpFIpjI+PY3R0FOl0GufPn8e9995rSZia10JX3EmGagCC\n/9bOB1oyQ6J8fX0dH/rQh6wdCbAVauYED5UN/q2FtT6fD88++yxmZ2dx7733GofEEPrY2BgmJiaQ\ny+XQ2dmJubk5Wy+6/mrAqFgLhUJDPpfHU2/Iv2fPHjQ3Nxup7XLVR2TT9fL7/ZZwSmW7srKC+++/\nHz/5yU8aPAnSCrxU9rczyJRn/ZnT5VKlqkEiJ0eknJC+j///1VpcPYrI7/c/zQVX9p2bR/6AAsoH\n1uiJIiRVRLz4+crWU8CVzVfXC9hCYBRyvgdoDH+q36vfqS6lWoPtQtEej8dqlarVaoPbRMHW9/MA\nejweHDp0CPl8HjfffDMqlQp27NiBTCaDpaUla11RKpXMupJzy+fzqFQqmJubw8rKCkKhUIMLxvBy\nNps194tumiIibau6sLCAXC5n7uPc3ByOHz+Oz372s/jZz36GXC6HtbU1nDhxwqbF8v7ohmqZhpP0\nV1eS/A3TEbjHfN/BgwcxNTWFbDaL06dPY2Fhway7rgNdUa/Xa5nkvC9ycNlsFt/85jdx2223GS90\n7tw55HI5u/fz5883KFEeVvaEIspTw0JZpnFIp9PWLI1KkShI3SnygER1yWQS1WoVU1NTth5EwVTy\n6pqpt+E8S3pGVKlQZlVRqcHWoI7z2k65XQ4R/foCkP+na8+ePTVgy83igWOokFCav+diEI4z81Yh\nJ7U0sDVu2BlZ4WY4obNqelpWoDGHwrnQzmiAc9F53/T3lf+gAASDwQZlTK5GyxwooLxXNvSicOdy\nOfh8PgwODuKOO+5AKpWy9aMy1b7bXEu6VaVSCbt3727olEgyl5m9LGKl+8aSBXYgpNuXyWSsz84f\n/dEfobW1FZ/61KeQSqXsOemS3nzzzVhfX8e5c+es8FQPgcezNVxA3Wgn/0bymdGu+++/39q6sidR\nKpWyKbTk4KgI1MWoVCrmpra2tiKdTtsefOQjH7H+4Zx6OzU1hQsXLhhyIYpnyL69vd2QGeVkx44d\naGlpQTgcxvLysiVEUjaYBEpXrbm5GdFoFJ2dnUagMzEymUziwIEDeOyxx2w9lMQnYueeUx5V3lWG\neQ6dXoKThuCZdcq1IkLupTM6t7Gxsa3OuSKKaPfu3TW1ZHwIIiBFAopMdCH4M+DSUDAXQUlQRSOa\neayISa2D/k6JaB5wKhigsd0CD9B26I5WvlKpIBQKGbpR8pUcADOYPR6PKRLCegDWJpbP4fF4kEql\nrDn9u9/9bnO7yP0sLi7as9JlI0dUKBTQ19dnz8T8GUbpXC6XhaKpBFUxsAfSbbfdhp07d8Ln8+GR\nRx7B/v37L3EFuI79/f1obW21uWHMzdH95F5pwy4eDP4bgPXZ/sxnPoPz5883cDNOt5h8FveQ6JMI\nhm06qtWqren8/Dw++clPYmNjA+l0Gi+99BLOnDnTkGND9MN/9/T0YG5uzgIKlAWPxwP7grfpAAAg\nAElEQVS/349wOGzRUmZms4YNgNXIURlFo1GTG5erToxHIhEcPHgQ733ve22yLNElZYkKQ88An1/p\nCe6ns8sB36tIiHKvxleBgSIp/v5XxP22OueKuGbxePxpVRpEMuQbNAJAslCtpOb7OKEvlZimoNOq\n8v/cBF78OYXFaSm2ey1/r+QcP4MHVyE40Ei8s1kWU/U1JYCbRgTC95CP4how6sWwO90Wt9uNU6dO\n4fTp0xgfH8eFCxewsLDQQAgDjWOX6LZxhr1GyYrFoq2ZRq/cbjc6OjoQDocRj8cxPDxsdWaDg4M4\nffo0fvazn12CJvnefD6Pu+66C+Pj4/B4PJY4CGwVL5MwV9dGDQNfu76+jieffBLnz583F7NSqVjk\njG4tUO9lzbwcrjVbrdAdYrFuS0uL1aa98sor2Lt3L06cOIHR0dEGtOyMvNLgUEaARl6KBD+NcWtr\nq6VQAGhQokRKXBMl7fUaHR1t6P+usko5pMJwJgvr66g8mHLCn3P/nYaZe+Dklrb791XFEbHWjFwI\nH1a5GG4eLb6DeQfQeGj5Pq2aV35JE/+ci6YhYrXehLL8PiXU+XNaOH2vVtHrszDCR2tD94EHhEqY\nvAndMCIkPjM/k4JGxcT7pUsD1IWFVpfcDsPGqVTKOCWdWsr8l1KpZJGnlZUV5PN5rK6uGoFNNyEQ\nCFiiHj8nFovhP/7jPyyT2Hlx75aXl/H5z38eP/jBDxoITk1x4DPs2LHD5qk5XfLHHnvMlA9zbhhB\nc7vdVr5SrVaRTqcxNzeH6elp24dcLodTp07ZMMv29nbMzs4iGo1aSL5SqXcUOH78uOX66EFVo+N2\n13OvWEaiqIN7yJwjVTBer9dIdRpPcjFavqKkdK1Ww7333osXX3zxkjC7Rpj1POiZUS7ISXRThvh/\nZ/qK83dOJKSf/6u9uroUEReEnAFdMsJ8oPHh1K/lZmuI1xk6V+HnpqmPrL93Wkxeztep9lfL54zK\naVhY38cDxteqELIDIBEbAOMK1Gd3PgvruFQxKUeg73FyYbRwdPuWl5etGbzP52tIwqRC4PqzPUa1\nWh8AWa1WDU1wAsZzzz3XIKhqoXklEgkkEgl89KMfxY9+9KMG15HPtLS0hPe+973YsWMHPvjBD+Le\ne+9FNBq1pMGbbroJyWTS+nlzreg+cq0Z1WMvb5/Ph1wuh+XlZQwMDCAWi2FiYsKSEJPJJKampjA4\nOGiKZXR0FBcvXkQoFLI9UG5Lo0TcQwANqF7D4MxXcvIv6sZRZrhvVLL6nmKxiE9/+tP4p3/6p4ZS\nIV1vrc1zyrLKvHI8zv3T51Ol44ycqbyq8ruqEFEikXiaKIOhSD6UHiwAxhGpZlXUQreClkD9WOUU\nuJH6OqeLopdGHpwuFjfY6XI4LZFyRjpWmf2Ue3t7Ua1WcfHiRTv8Wu6i/JA+hwoyhUChNrCVfa7h\ncEZjnCQ+uSoAlvnMA1ur1cw1UivsdrsNNYVCISsd6e7uRiQSwalTp5BKpWxiqVOg1f0cGhrCzMwM\nPvShDyGZTGJ2dhYLCwuGRPfv349Tp04ZgiQ5HYlEsHfvXoyPj+PYsWNWvEsEVy6XrfykpaXFEjxZ\nuBoIBBAOh1EulzE1NYVEImEuJRuR7dmzB6dPn8att96K1tZWnDx5sqEEiWurnKXu3/LyMpLJpJHp\nemBJ0hMlszQG2KqZ1O4TVBraBoWcXWtrK2ZnZ/HAAw/gxRdfNCOn664eB79DkY0iLOVWHa5VA5+k\nRll5UjWYKpdXFSKKx+NPAzB3gRvpDKlr0h8VCHBpdb5qd6dFotDr+5Wg42I7eSndDLUiatX4ebqB\ntHLKC1Gxsp7pPe95D/r6+izL98CBA5ienraG9hsbG0aWMmRNi8qfAbAIn7Oh3HbEoQqDKrSmpiYz\nBJro19TUhFgs1tBChEqM7yVqKhaLNrra5XJhenoaY2NjCAaDCIfDSKfTDXui61kul/Gxj30ML730\nEg4ePGj9r2+77Tb8yZ/8CcbGxhCPxzE7O4umpiYkk0l0d3db5KpSqVgx78WLF7G2tmYjjMilpNNp\npNNpFAoFU6z87kplq4xiaWkJwWAQw8PDWFxcxPz8PEqlEmKxGIrFIgYGBiyjmW6Trrm6PLw8Ho+1\npm1ubsZ1111nY7ubmprQ2dlpNXuMWlIBqaFUbtHlclmRMvPPaMAGBgZw4sQJc++U/1H3jJ+rSNWJ\n7PkseiYpC/q56s7pv1Xp8juvOkWkpKeS1Yok9OADl+YyAI1jdZ0KxmkN1NXSxdbX8efq6gGNnRyd\nbhmwNR6IZCEvCtXGxgY++clPoqenp6FMgp/T1dWFoaEhnD592hQqLbmzTYozR4rWWHkkJe+pCJ28\nFfkl5bn4Prp9JE21QyDvj0opFotZX6LW1lZMT08jk8mgvb0du3btwtzcnClS3Rf2f75w4YJxbg8/\n/DDi8Tjcbje+853voLu7G3Nzc3C56lEiDm30+/04d+6c3Q/nxs/Pz2Nubg5dXV32TNFoFB0dHYba\n5ufnrd+QZmmzn3axWERfXx+am5tx5swZ7N+/H2+99RaGhoZw7Ngx2wPdDyoCNWKUZQ2gzM3NGRG+\nuVlvS8v3BgIBMwI0wEwlIKHNJFXOp+PeU3GVy2X87u/+Lr761a9e4hm4XK4G15Wywj1RBaXnSCPE\nvBS5qVLi9+jP1HvZ2NjYVhFdkZHTVDxcJNW25CUYSiWSUIvNDVZFoAviRE7ApdM7+DPnAlMxECXp\nRlHA9I8uMhEDL7oQ8XgcH//4x3Hy5EnMzMyYJWN4HagrwXw+jxtvvBHXX3891tfrc9JJsivhSfeJ\nbpXL5bKwLw8A3QfCf34HlZOGZ6lE+bqmpiZrU8GDzob8WvrCaNXGxgZKpRIWFxcxOzuLmZkZ+Hw+\nuN1u9PX14V3vepcdAqYXRKNRa6529uxZ7Nq1CxMTE1hYWECxWMS5c+cwNzeHTCZjfad1bwFYM3ru\n0crKCgYHB7F7924cP34c6XTaonhMQwgGg9i5cydWVlaQyWRsvxlIaG5uRqFQQD6ft1D5T37yEyws\nLGBxcdFcRkUXdHUpN8rJeTz1ljbkz5g2kU6nsby8jIsXL5qsaDE0eSpyWx6Px4IB/DzKAs8GM8sP\nHz6M733vew2tYZ0Ju3pueFacMq1GjnLFn29XD6hGXs+2k+De7rpiiKhWqzUcWj4oF5bWXfkYhYVq\nkZQ7cqIcJypy+uD8DkVf6t44uSQuMBUmfXcA1guaApRMJvHII48gGAxibm4Om5ubmJiYwMzMjLUA\npTCRJwDqUatEIoGRkRHMzc2hUCggGo0asQnADgOFgkKoxLKuAT+fryFCdFo7dXN5iPnz9vZ2+wx1\nGYF6iUp7ezsWFhawurqKjo4OjIyMIBwOo62tDYcPH7Zylmq1iu7ubqtnGx4etrIQui8/+9nPbPRP\nLpdDc3Mzuru7EY/HEYvFUK1uFfry8FLwW1tbkUwmUSgUsLy8bA39VSFToWazWfT09GB5edmypTmQ\nslqtt8dNp9OGCt/xjnfgne98J1566aWGw83957pyfXjRSGnum8tVb7kSDAYb8sJYisNz4NyfSCRi\ncswUAEXsQN3I7t69G4cOHdr2rBBV63lRykGVkJOScNa3bUd5ULb0d263G+vr61cPImLuEAWIG0SL\nQOivmpXWhghBMzdVUzu1My29RgK4MUQVemDV7eLPeX+8N0VVPBDkJChQn/rUp3D33XfbOGa6LMPD\nw9i9ezdisZgRqUQ1GmJ2u+t5NiMjI7j77rvNZQiHwzbCmMJdLpedfvglkFy5MCVGuV6M1OkED3Z7\n5F6QwOY6MMeJrWJ5gH0+H3w+H5LJJNrb29HZ2Yn29nZDcO94xzusM6Tf77epIG63GwsLCzYjja4G\n18Tj8VjrEvI/fBZF2VSUiUQCgUAAhUKhISl0c3PT8qLC4TBmZ2dt6izLXjj9NpFIwO12o7e3F/fc\ncw/y+TyuvfZadHV1WaIi94+FqcBWuQ/lhnvX3Fwf5BgOh82ossSEmepU9vw3n621tRVNTU1WesMq\nf3KN7HywsbGBfD6PW2+9Fddcc40FLaggNTqs3ohSImrY+XtVVgBMSfKsUDHr6/gZahi3u65Y+P5y\nZLBGepQ/UhdoOwuwHTEGNNbF6L+BxqmU+np+hobf+YfcCsPsLpcL7373u7Fv3z50dHTgwQcfRF9f\nH44dO4bTp08b4rh48SKSyWRDAzJaQmCrct/j8TREZYgQk8kkkskkTp8+bYe9VqtZQaYqRz6H3q9y\nb9txRRR6p2KPxWJIJpOIRCLY2NjABz/4QbzxxhsAtiaBRiIRy8IuFovw+Xy44447EA6HDb1Uq1Vr\nY8J9ZdnCzTffjKmpqQZEwKr/Uqlkz7Jjxw709PSgtbUV2WzWRkSr68C/ucdsleKMMqrbQ8VWKpWM\nl+MI6lwuhz/7sz/Dww8/jK985St497vfjXK5jCeeeAIHDx7Ejh078PzzzzdkuWsgQw1rJBKxHCyg\nPg+OqIH8Dz0FckHqQlOB1mo1mwIMbPXH4kU+aWVlBQ8//DB+9KMf2ahsDcrwPKmSUM6J96+uncqN\ndr6gUtW0AnWl+T1ra2tXFyIirFMSkxab45FV4WiYUw+Lk9EHtjZfNboqKm6sJgKq8Chvw+9TboIJ\ngDfddBM+/OEPw+v1YnZ2Fi6XCydPnsSFCxfgcrnQ09NjiIkN79VvX11dtSgI3QXNG/F4PNaLmgJw\n11134a677kI2m0Umk7FWsnRJlIQlAtFG+jwEXHO/32/tX4mggsEgBgcH0d3dbVGxcrmMQCCAZ555\nBh/96Eft8FDAiGybm5vR1dVlKEnLQyKRCDo6OrCxsWFZy01NTcjlcujp6UEikUA+n8fU1BTe//73\nGxdCXoPJn5VKBceOHYPH4zFkRznhwVZUGAgEjHPhXvMgcdAhOTBNsmVjtWAwiGeeeQbXX389arX6\nfLjJyUn4/X789Kc/xV/91V9Zv2mnsdO9TaVSDffHcdi8GMWj/PKemWGvHCinyhL96HMxo3xlZQVT\nU1P4zne+0xCs4P4rMtLz5ORbNeeJ7+Ma8czSFdPJvVRGSm1c7roiiCgajRpHRG1ON4kWWheDIWoe\nIi4QF4cCSEQBbNV/qZJSLok/46VoQqEp/WH+e2NjA5FIBO9973stB8rn86G9vR35fN42wdmdTp+R\nVkfvQcfEUPlpkSiFm21Hd+/ejR07dtiQv7m5OWvwTlLY6/VazRoPqvYwomAQztPCkeAm/8NMafYh\nmpiYwNvf/naMjo6itbUVsVjMimj9fj8OHDiARCKBpqYmBINBLC4uYnR01JSJy7VVQsG8sbe97W3o\n7+/Ha6+9hqamJgwPD2Nzc9Mq3avVKoaHh9Hb24vR0VHbYw0c8JnYCxvYGi3FtSWHx2flfdPV5IHV\nBNObb74Z//7v/44HH3wQhULBRgLRpbrnnntw99134/vf/74pDW2bSllmagEbxzFFgwMNWHhM+dPo\nLfeEGdZUAuFw2J5Hc9DU1SoUCrjrrrvwwgsvWCGwehSKgtSrcMov70cRs3oN6nk4kbcoqqsnfO/z\n+Z5WdKJkGXApV0ONq0QqhVB796hvqhZJORK+X1EY/Xwl5hSu8n1ra2u47rrrcO2116JcLjfM61pd\nXcXy8rJ1TgS2GrtT6LWtA1EPuSFyAVrwSh4LaOxMyfHadGOam5uxc+dOXHPNNdY/OZfLWcsOHjaX\ny2XrxedmDg4PrMezNTAQgCkztg/h4Z2amsK73vUunDlzBl6vF+3t7Yas7rjjDksWZPfGhYUF6xDJ\n7ODl5WULmT/66KNoa2vDq6++CrfbjZ6eHtsTorKRkRFsbm4in8+bUlWrTgSkETYeIqYiaNoCDRxb\nZ7jd9ezplpYWdHR0IJvNYv/+/RgdHcX6+jqGhoasYt7tduPIkSO48cYbMT4+jkwmgz/90z/Fj3/8\n4wYjw88l+c32J7VavccUeS9VNtqtVItTKe8k6WlwyBFxv1QJ0ZD19fXh0KFDDZ0tKNtqhHnPPEtO\nXocKVms3VVkRFFBpqvJyuVxXlyIKhUJP0zJTWypxqorBae2cWpqalpe6cVRgav1VQfH92vuHr6dW\nVzTz6KOP2pSHfD5veSDqYhJSA5fOT+Mm6twyKhpVniQenVNGqNR0k9V1ZARmx44d2Ldvnx2AZDKJ\n+++/HwMDAw1dAejSAVt1Tmxpofe+vr6Offv24YEHHkBnZyfOnj0Ll8uFubk53HLLLRgfHzcFeeDA\nAeN4IpEIPB4PfvKTn2B5eRnhcNiMCI2O3+9HKBTC7t27kclkcOLECWxsbCCRSGDnzp0oFovWGnXf\nvn2G/DY2Nszl4sFSA6JGRSNYJIF50MjB8WBR+ScSCWSzWRw8eBA//OEPceuttyKXy+HQoUO47rrr\n8Oabb9o9t7S0IJFIWFO27u5uLC0t4dy5c+aaUjaYEU5lxUgoI66M3FEOiSBVTohaKQuq5BjwUWVD\nnuwTn/gE/uVf/sVSK/Q1zsx87r1G0fR3qvTVHdW11fYtPEcrKytXlyLSm1b0w39roanLtdV6QxWI\nkrFKcqvi0foaoBFtqdJRd0UJRt7Tww8/jOXlZQvl0mrmcjnLB2Iki4WSTKBjNIVWSsk/wmIqGaIh\nPu/m5qZNcNXIYj6fN56Lm6ycEjN3BwYG4PP5cPToUSwtLaGrqwu9vb2IRCKGlrhmGs0ktCZkr9Vq\neP311zE1NYWbb74ZMzMz2NzcxMWLF3HrrbcinU5jz549GBkZMQI7EAjga1/7mrXd2LNnj6EzdQmG\nhobQ0dGBtbU1q/VKJBLYs2cPzp07h7W1NeOdmAkNwIY4Ot1t/tFmY/y9NtInAmVuj7odHo8H7e3t\nSKfTmJ2dxdvf/nYrlB0aGjLivVgsorOzE+VyGbOzs+aeM3XD5/Ph1KlThlRWV1fR09ODfD4PAIag\n19fXrRcSZZsyzXUi0U/3jxX56moRhaus0LXPZDJ429vehp///OfmFZAUpzLm9ynCoTLSZF1FaXwd\n00h4KSnO66pTRDxkWlum4Wb1S2lNFBGpInFaQy4KcGllPeEmlRgvvobfD2whFlZ2r6+vo7e3F/F4\n3Jpv+f1+mwTKvwlH5+fnzRXSvCNyPXNzc9jY2EBHR4eFoVU4eMhIajJ7WVEcBwSy4yCjI8wUZp7J\njh07EIvFkE6nce7cOVQqFRw4cADd3d2mmGiRATQIKpUzUyc4zoivSafTuPXWW+H1ejE0NGTz5X/w\ngx/YpA+6ESSPSXbzPln2MDMzg6WlJXR3d6O/vx/FYhFnz57Fzp07LVwNwApXdf4c0YcqE22roUaI\ne6+dCjSL2eWqRwxffvllc32ZZf3SSy/hxhtvRDabRSKRwPT0tPE7RIMPPPAARkdH0dTUhMnJyYYs\nfSowvfgM7OzINVP0TE6qqanJ6s247zSCDEwwokZ5o0x2dnbi8OHDDYiMhkhlX3+myIYyQQOlqEgp\nD0VbanjL5fLVo4j8fv/TGuZUn5QWmdYMaJyaqgpGtbRqXr7PGU0BLq02doYY+TdJT4Zry+Uy+vv7\nDXLWajUrqlxaWkI6nUYmk0EqlcLq6qpNWOVGZzIZ5HI5s+oulwudnZ1obm7GuXPnbAa9z+czUphW\nlCiHLTkUfQUCARMMHdej7guJTPbV6evrQ3t7u0X4yNm0t7djcHAQyWTSuhNy3UgANzU1GRpgL+VK\npYILFy7gqaeeQq1Ww+LiIt566y2cO3fOWl20trZaLg33c2NjA+fPn0cymcSOHTuwtraGyclJ5PN5\ndHR02HpT2XDviDQpD9p2RUl5PRw83IyUss2tk2NiR8qZmRkkEgmcOXMGPT09KJfLGBsbw8GDB617\nZTwex9TUFPr6+pBOp831ZZ+pxx57DJ/61KfwhS98Ad/97ncNdWguFp9DUZvP5zPi3O3e6uZA981Z\nf6npHny/PqvWbG5sbODRRx/FN77xDeMa1X3k2dCAEc8N1whAg9JT9KYAga9XEHFVKSKS1UAjp6Na\n2KmhlXB2IiQuni4ASVdFPXyNRiSAxiJadROHh4fR2dlpHMnY2BhmZmaQyWSwvLxsyMTv9xsy4thl\numNEN5zoyc1iRGhjYwMDAwMIBoOYnp7GzMyMzbfK5XIWvWKExev12hwxZjaT36HQsMUFk96oPGOx\nGFZXV60bYDKZtGF+dNMoWH19fejr60M2m23gvChoRDPci83NTfziF7/A3XffjRdeeAGzs7O2phzJ\nE4/HG1yHWCyG48ePo6+vDzt27MDm5ibGxsZQKBTQ3t6O3t5e6x7J71U+UWWFpDaw5RKoy6Z8H5Gd\nRmyZY8MDe/78eQwNDeHs2bMYGBiwdiCvvvoq9u/fD5fLhdOnT2P37t3I5XLo7e21NaLcRaNRvOMd\n78Df/d3f4dy5c4jFYraf8XgchULB5JIRYFIS/Jv3VK1WTaa0OSDlHIBxitwPupz8vfI36XTahixw\nzZQ/VBddDbquN913RaO8B+d5pMEvFovbKqIrMnKaN8ecIfUvFTprkh2tBxuFqU/MHBYl2DQNAGgk\ng5UL0kuT3iKRCG655RaD0dlsFsvLywiFQg2kHA87N40REfIPGi5lyQR7VcdiMXg89Tahy8vL2LVr\nFwDg8OHD8Pv9GBkZwerqKlKpVIMLSi5pfn7eEgbX1tYQDoct76ZUKlkRaqlUQqFQQFNTkxVWrq+v\nY3Z21pQWrf7y8rKtaVNTE2655RYcOnTIKtfpYmQyGbPEynt96Utfsp7aRJXkvBiu11QEDULw8DFP\nq7m5GcePH7eDoVyI8n40CHRjKD9UCqq4+BlEiZQtRdicZ8/L7/cjk8lgaGgIIyMjmJiYQHNzM+Lx\nONLpNPr7+w3BcL2LxSKeeeYZ7NixAx//+MfxzW9+EwO/6nlEgl15SQ26RKNRaw2j6I4ktTMAU6vV\nTDZZp0bCW/kvGqR0Oo3PfvazeN/73odwONwQ7HEqOFVCChQ0TUbpDiX9lXJxJtw6ryuCiILB4NOE\n0Zr7oOgIaPRTgUbimcKluUPAVh+h7RQQf89LDzeVGA/hH//xH2NyctIUW0tLizVgZ1iV96DRPW4g\nDzg/k0LHQk/NVCXioVLbuXMnYrEYjh07Bre7Xl5QLBbtQLMpGZUyQ7zkg3gfzc3NFjKnCwXAImOs\nHWPTe6/Xa8Q4OSsSxSMjI3C5XMjlcg37QwXs8/lQqVSwtLSEvr4+5PN540vW1tawurqKrq4urKys\nmCJlHV0ymURPTw9WVlaQSqWQyWQQjUYRi8Vw8eLFBgSsmcHcGz0IwFYuFi/uEeXFiZIpL/xdKBTC\n5OQkRkZGcO7cOfh8PjMIHD1Nvqqrq8uMEmWCn7mysmJTcb/xjW/gn//5n/GVr3zF+CCuDZ+Le1ks\nFhGPx22qrjMXTA0b5cdZO6ZpLeo9ELlwbxcWFhq4QA3cKFkOwNAWZVqjn8oL6Xl20h2Xc82uWGY1\nBYkHBkCDa0DLq34ntavyPoqCdBE0rM3NcCYRksikgqMQfe5zn8OPfvQjC6VyU5gJ3NTUZEpGEZgS\ni0BdyQQCAYRCIbM8tVrNijEvXryIYrFoh66jowMejwezs7OoVCq4/vrrsWvXLhw+fBjt7e32DNrH\nmi5FoVCw8C0nbTDSwqQ2AJZ6QMQZCoXQ29uLWq2G+fl5ex0VJocBzs/PI5lM4r777sP111/fUI7A\noYFEe0eOHEF/f7/VdbEOjcohn8+bYueEEEbTKB9ra2sYHR21Q0JXQw2RBi64r4oWKEf8PVGL1vTR\ndaYS18gRI5eTk5OIx+M2nWN6etp6CbHDQi6Xs+9XBcII4oMPPojBwUGTXy074eV2b3WfoMwSZdOd\nVK6LmfUa6KHcc3gm0ToVJyv48/k8nnrqKWtap8qDa0q5B2CGjFyhJixqkqVydVT+dC2dHoheV4ys\nVnYeaOwHrb6lMznMySXpQzvD8EqE6+Zq+FiJwAMHDljv35aWFqsN83g8WFpaQqlUaoDsWsZA609r\nT0REgdaeM4xqhUIh1Go1q5uiNSanQm6ktbXVXJV4PG6HnpXiwWDQ3Ac25WcWONtfhMNhrK+vWzIe\np16Q+A6FQojH48jn81ZoGggE0NnZiVwuh2w2aweuVqsZSuJ3EB0yl+nChQsYGBiwLo3z8/PYu3ev\nrV80GkUul8Pm5ia6urqs1SsJ//3799va0bXgvm4XPaWs6F7T9VJZ0nC3Wn3WeuXzecTjcZw5cwY7\nd+7E9PS0RSVZ48YmcHT1qtVqgwtOI0WjMDQ0hMnJSQB1NDo6OopqtWpuGvOA6Drxmbkmqmx537Va\nzSK36lrp+djc3DQFomcCqKPpXC5nnR15dpRzArY4TnW31KvYzuWi66uJyPzc5eXlqwcR0Y9kLgQ3\nE9gKN1KL8rVUNLoRyi2oAuKCEw1RmRGiclEolJubm9i7dy8SiQRGR0fNShNeT0xMYHFxEcFgEJ2d\nnQ1hXiYeKhK5ePEizpw5g0OHDuHQoUM4ffq0df/zer2W/QzUw7aJRMKmYTADmeTy/Py81WBVKvVJ\nG/39/bY2vb29yGazKJVK1pI0l8vVN/dXipZuFpWrcm/5fB65XM7KDvbs2YNEImFjo5eXl9HX14cb\nbrjBlFxLSwsKhQKy2Sz6+vrwtre9DSMjI3b4iCQnJibQ3t5uSowIpbe318LdmkXOA8nROXTD2NSf\nh4VkN/daeQnuNWWAnAlTIzY2NhpC+jrFtVqt4syZM0YKM8ROd4bRU7/fj1qtnhmdzWZRqVQs43px\ncRFjY2M2eDESieCll17CQw89hKmpKfzO7/yO5RARXRMJsVDV7/fbMAKmcGheHWWfaR2FQqEBzbAL\nBJEmZZyGCIDxku9///stmsr9Uc5VXV9NTWGkkhf5MQUGABqUmJbbOK8rhoiopalIiEzUmmmzKHXJ\ntCJffWc+sJKS1MYK2xXuVyr1quiBgQFDICRzi8WiVVUrR0FNr3yDunYkjXt6egkvHVwAACAASURB\nVNDT04Ouri5Uq1VMTEyYohsYGEC1WkUmk2mw7MxHotAnk0lkMhkMDg5iZmbGnrmjowMTExNWtFos\nFrG5uYlQKGQHg9E7CheFmNE9Hj62MSGCIDoiP0PhTSQSdihZe6bEcm9vrzV003B0NBrF7Owsurq6\nUKlUMDg4iLa2NluLzs5ORKNRcyP27NljBZ3BYBDpdNpkgfvNi7JBl0s5MqAxQ1jdBkZ3VG5qtZpF\nx86cOYPe3l7LjiaqZUM3BggAWPTT5/PB7/ejr6/PZrZVKvX5ZuPj49i7d68puomJCQBocLnW19cb\nynfINap7Qxnj/VJBaJY+zxOfmUqCZ4NBgra2NuMQL1y4YGtL1KRV/Vwz5RmJJklbbOfa0bgwGnm5\nqNkV44j05iggCvFIhgFbvrzCbmBrE5UfoqKipdGoCDePETh+zi233GIFo4TYDMkzkZFWgTVmDBcH\nAgETwEgkgmAwCI/HY3OzuJmsBbvtttsAAC+88AKOHz+OYDBo0yLIgzBZLx6PY319HbFYDNlsFvv2\n7UO1WsWJEyewvLyMkZERnD17Fm6320oMstksAoEAotGo9Q8iuc2DytwRloMMDAwAqDfZymazyGaz\nqNVquOmmm8wQMHLIz87n84hGo/aMpVIJU1NT2LdvH37v934Pn/jEJ7C6uoqlpSWrIvd46tNiaVWZ\nnMk139zcRDqdtpFBAAzpMWStvaHIlWxsbA0ncLpi6rJTFujOqIvmdruNH+OYahocKmnyPbwvItFY\nLGZ1dewueeLECUxMTCCdTmNqagqFQgGHDx9GMpnE5z//eZRKJSwsLCAej5vc0wDyIq9GI0IjoEmI\nXA8mjq6srFjpDpWluqk6qILI5/HHH0c2mzXFR9eKhDpfyzFNPJN8Dd+jKTc8W0R9PKuXu65Y1Iya\nk0KyHbIAGge+KQcEXNonSElLfT8JS7Wm3MT3vOc9yGQyBiupYKgcqQT1+1pbWxtS751EnJLrGxsb\n1rKDo4WTySSuueYaBAIBTE9PY3x8HAcOHEBLSwsWFhbMwinCc7nqTeB3796NjY366GMqktdeew0j\nIyNWxa2JbuRwYrFYQxREyVy/32+jkM+cOWPuTKVSwa5du+D1bs3aotXt7e01BcVmbc3Nzbjhhhvw\nxhtvYH19He9///vx6quv2mFhH2gmLy4vL6NSqVg/aaYc0F1S7oWuCtEJ1538TrFYbKhK59RThr6B\nS0sOyKHQpTt16hQqlYrVmXV0dGB+ft5kwOfzIZ/PY21trQEdUeFqiFyNEF3jcrmMubk5vP766/jk\nJz+Jjo4OHD16tCGdgc+gcs9EVRoQKisqDCopdTHL5XLDvxkpVc+DvBddprm5uUvOFf+v5473qB4G\nn1O7SOh5Jhi4qhARH4qQlBvtDPnRminkU+5HlRAhKCG5IiyFsxqmHx4etixm1eC0tKzYptLS3Am6\nZZqpTSWgIf/W1lZ0dHQgkUigu7sbADA+Po7nn38eJ06cwMGDB3HnnXfC7Xbj5ZdfRl9fn0VniCD4\n7MlkEidPnkRvby+6u7tRKpXg8Xhwzz334Nlnn7VSESqklpYW4zNmZmZMATHayIhLsVi0qNsTTzyB\ntrY2zM7OYnJyEhcuXEAgEMB1111nPBWJdJ/PhzvvvBPj4+P2zPF4HNdffz0mJiaQy+XQ1tZmKJFc\nRCgUAlCPxITDYZMLcm6MVmkh7ubmprmZupdUIqFQyAIFrMWiMmdSIPeLnCKz2OlWEbmtrq7C7XYb\n8iV6J7pwuVyIx+OoVCrW5YDKZ2VlxdxkJp4yi3tzc9Nc7tdffx3Nzc0YGhoymVYlyxwwoke6Uuy2\nwIsKDNhqM8MEVH43c480mry5We+HlM/nUSgU8Pu///tmbFQBaVSMiItr6nZvtS5R489n0NC/puVs\nd10RRNTc3Pw0Dy8fSocNKm+kSEkPusJtZ64CX69kmqIaj6fegpStXDnCh8TuduFLXrqRWoaiBDkV\nG8st+PparYZwOIz29nb09/fD6/XizJkzKBQKVkQ7Pz+PYrGIXbt2GVlKXgqARcRIYpOnKJfLlgNE\ngSGyYrY3lQ17FvEPW0uwDGRwcBDXXHMNxsbGcPHiResGePPNN2NsbKyhlUilUrEOi+FwGL/85S8x\nPDyMgwcP4vDhwybUq6ur6Ovrw/DwsCmZbDZr+8y5X5QH7idD7pq+QZLbWQitHAjRqBKl/F7uBw9/\npVLB8ePHG7iTzc1N47ZonDjJhO4J751GcGVlxcplKH8aWqesUK6YNqB8EQ8/68q4LoFAAEtLS0a6\na3cKYCvIw/UgqufZ4PnimSiXy4hGo6ZYqZBTqVSDAlLOp1bbSqjk/1XuKftaPUDPgvdxOUR0xchq\ndX0UuukiUFgUeahroQpIF4cQVEO8SnJXKhUM/KouiFZPs2tpcVTLBwKBhnabLpfL3Ibl5WWLoGQy\nGQDA8vIy5ufnLapWLBaxtLSEhYUFZLNZg/K9vb2WJsBq6ng8jv/5n//Brl27rBcPIbTHUx/at2/f\nPhw5cgQdHR3WK+fo0aOW5cuIEJ/J7/eju7u7IZtZQ7F6cMiJ3XHHHdjc3MSZM2fMut5///04efKk\nKSMq5KGhIUxMTNhUjWPHjlm+VSAQQCqVMmTIUdBzc3NG0ANoMCKaYKdEu/KBv5IlO7QqC0TaTFHg\nAWQHQR5kZnwzZ4nyFQ6HsblZb65PWYrFYhY1Y2SQBkzdJSo/omYeUj6H8pOrq6uYnp42WXfKONel\nUqlYZIvRZgCGxHjvmmOmaJ1ngukcjAwT6bS0tOCmm27Cc889Z5/pbO7Gz+HfPKOaPEzSXM8d9/BX\n+WxXjyJqbW19mpulRay8aV66wBoBIFpRS8PfUXnoBvAzqUAqlQpuvPFGi/bo7/leTYDkz7jJ5B3o\nk7e2tiIYDFoVOd0RhqFbWloQDocRj8fR0dFhfwKBANbW1iw/iYrG6/Vi3759Vt7AHCCuA9EEn12j\nZmwCz4xdtmQlh0Nrrq4tq7mBrd7ZQL1z48DAAO666y48//zzFppn2w9aPqKNwcFBq8Nj+J3KKpvN\nIplMIpFIGB+kNUnq0mpRJ3+muTF8DwBDdHSfGbrm66hw6M5TSSkBXK1WMTU1ZUrb6623cpmZmTE5\nIvKh2xcIBMyIUT6IZOh+qZFzTtsoFAo2mmh+fr4hgqx7w3PC719ZWUE0GjXSmfliDALw3DCyR1mm\nfCu9wHXge5ubm3H27FlDa1SmilA1i10Vt54TvkZ/zvdfLo/oipLVwFZ2MxUEN1QRDrD9QESg0eWi\nIDl5G34GX9PW1obe3t4G3kfJbAq+8gucT0aCD4BtIDeLryX6Il+zsLCAqakpnD9/HrOzs5ienkY+\nn0ckEkF3d7f1mlZ0QIGLx+O4cOGCWWgqqpWVFXR1deGNN96w5Lre3l7kcjmEw2Gr9A8Gg1ZSQqEh\n4U7FTARCS8iMa1rpcrmMm266Cb/4xS/g8XhQLBZx2223YXx83NaOQtnX14fz588DgHEqDMX39/cb\naU4lQ9SoUSxnzgxzVpzRUPb7piJkt0W6YorunGhbc8h2796NkydP2oF3ueqN+hm65+GiwtMQuCpJ\n/pvKk6Ug6XQaGxsbNonlzJkz6OjoQFtbGzo7O3H8+PEGZAM0tuegLHs8HhtSQGTOzgZcN91HPis5\nOt43U0ToEdCVrNVq+MAHPoBvf/vbVrJD5EU5p+JVj0PpC1VAdCGpXH/Fm109iqi1tfVpoPHwA43I\nhiF2/twZEVOFpA/ufD2wVXnNn1977bUN/riSmhQk5mHw82h5WM1MJKEWh3wDn4nRn66uLjz55JNW\ngd/X14eenh60tbVdUiGvPj4jMpFIBKOjo+jq6gKwFe1JpVJ2qMhrjI2Nobu722rTPve5z+GVV14x\nN5Loh0Swz+czzoglLDxwpVIJQ0ND+MhHPoL29nYMDQ3h1VdfhdfrNWXEMgNdd86T52cwWa+trc0i\nUrVaDalUCoVCoWGWOw0SEY4qEOf9K0dDhKOyw8NKGaGFB2CKtlKp4PTp0xgZGcH58+dNCdMA0CUj\ncawtPKjwqKy07IWHnsauWq1iYWEBbrcb8XjcJp5Uq1WcP3/eOEV1aVQ+qQAox1SiNEzqrtJw8lxo\nWQiNJ9eYvBllrlwu48yZM+YpKAfEz+Ze688VBWmyaaWy1a8IwGVdsytSfQ80IiD+38n9aKgR2JpS\nqSQ0iyg1PZ5Kgq9XdLW2toZgMGgz3fl6wmeFr7QuVD7q+qgfzCufz2NhYQErKyu49dZbkc1m8dd/\n/dd4/fXX8elPfxqnTp3Cb/7mb2LXrl0WlaHFZ6Yryef19XVrtdrf34/bb78dv/zlL3HbbbdZwqDL\n5UI0GsXi4qIprt27dwMAMpkMPv/5z6O7u9uyoUulUgPZywNLRe12uy2J88knn8Tg4CDW1tbw27/9\n2xgaGsLc3Bw++tGP4otf/CL8fj+OHz+OO++8E2+++SaWl5ctwzcUCmF9fR1+v78hV4zfS87M7XYj\nGAyiWCzC7/ebpef6cv+4dxw8qLk2vJwhayI5Kgm+hwovn8+jVCohGAxiaGjIFHBHRwdWV1cNqXPu\nfTgctqxnjVK5XC6TGypNPjONFN2v4eFhy1jn+s/NzdlzkeOhDDiTaNmrmmtGmVf0zr81V46olAqB\nDf7INVEWA4EASqUSHn/8cSvO5TlUop3Khd9LA0yERKXEM8Tn+XXXFVFEtBrAFlfBg80N4YNT63NT\nleyj8CjxzcxUDe9SselGeL1es5oa2aBrplwC75kC3NzcbDlBlUq97KKzsxMDAwNIJBI2NvmrX/0q\nHnroIfznf/4nurq68Jd/+Ze47777cP78eXsGktOcDKtKgQpxaWkJY2Nj1jqV9W1MWmRHw0qlYhnP\nO3fuxH333QcAWFxcRGdnZ0MmMQDL4AWAvr4+PPLIIxgeHobHUy+0/PKXv4xDhw5hZGQE6XQalUoF\n6XQag4OD1l3ylVdewQ033IAjR44gm83C7a53B+zv78f4+LhF7Di1tVwuo1QqmXupkSu6pyoL2gWQ\n/1bBJ4ogWiJCYfge2CJ0qTiImlpbW7Fz507kcjm89dZbDeQs5aBUKsHv91vYmrwilap+nror+ief\nz6OrqwuZTMYOKd/j8Xjwf8y9eZTdVZX2/9xb83RrSqVSmUlMmEJAURqQUUkaBZbigOLUrai9bF1q\nO9vIarod0BYbWkCwcYkgCAqCOCKKCi0KGiAhBDInJKkxNd2ax3t/f9z+nPt8DxXe97fW26v4rlWr\nqu7wHc7Zw7Ofvc8+jY2NoQMCz+G1YLzOM7hsY/C5lqQwrlLBcJBBzWQyQbYPHz6sBQsWaHp6OpQf\nsH6RjQNYEcA4k/zwKm4MLQbQkRg6FpfWzHXMS2hWVlZ2pZTc4scL+HwS56ovirNgeE3nlJwY9GPR\nokXB+MTV176uzWNq0BWWnaK38vLCNshLlixRNpvVjh071N/fr3PPPVcbNmzQt7/9bf393/992GLn\nk5/8pG655RbdddddQXiAzNQt8VzODUCeNjY2hmUDLK84cOCA0um0MplMEITu7m4tW7ZMb3jDG5TP\n53XSSSfpzjvv1NKlS1VWVhaI0rPPPlsf/OAH9eY3v1nnnHNO2Ormv/7rv3TzzTeHCu/h4WH19PSE\n1f1nnnmmHnroocCZzczMaN26dcpms6FXNgZ29+7doWRgxYoV6urqCilp4LvX8ODNCQ/JJnq2BiOO\n/KRSqaB8LgMoGY7MU/p0BmBVPW1LqDZetmyZ9u3bFzJK1DFRNuCcFU4Lw8I5IKVpf0L4i9PEYTY1\nNYXV+4wJsseYuJGWCnvPwVMhyy433hoE50wID0cYL2GCa2Lhcm9vbwibPXyO9REDg87wXJ5YYk6O\nRFbPGyLi5n19DILlmTOU1Ws/PEXvBklKNk+XimEd3oSiQkIUD+MwfggBK+r93rD8LCqEhGbXio98\n5CN6+umn9cwzz2jJkiVKpVJ65plntH//fr33ve/VTTfdlCCK+SEVzMR54R4CzOdYhc9CXEnas2eP\n1qxZE1K0vp31scceq1/+8pfavXu3yssLGyB6liWXy2lgYEC//OUvdd9992nFihWh6JDujSBPSeru\n7lZbW5sOHTqk5cuXq6OjQ+l0Wi9/+cv13HPPaXBwMCjeiSeeqL1792rRokXq6uoKBkYq8gpxaIMx\ncQIYGZCKCQrmjFS6h2IYNBAFRC5jm8/n9c53vlObNm1SW1ubstmsFixYELbZBmV7ZhGn5AjNCW7G\ni2N6urAbCWgbAwWiwPDx/LzHnDgfxHvwVCxshkwmzMKRw/EQeXDfPT09YT0ihpLPQmTncjmdf/75\n+vOf/xz2TQORQac4t4vxdB101MbfcU2eH/NSWQ20lYpEsBsCLL/XYOAlpWLs7A/pXsMzX4RjCDfr\nriCG4SIgqMm04AWlQq0KgsJ5JyYm9OSTT2rnzp2qrKzUmjVr9JOf/ER33nmnzj33XP3qV79STU2N\nDhw4oM2bN2v37t165Stfqauvvlrf/e53tW3bttDOgwMiloyQKw5LIvCmqVRKS5cu1Yknnqje3t4g\nzAhjOp0OW0MzZsccc4xWrlyZWM0+MTGha6+9Vp/61Kf0+OOPa/ny5YkKXfoXUb8Ex3H22WerrKyw\nS+vAwIC6u7t16NAhHX/88WH1OAhtxYoViQSAL/QkxIKnYPugkZERTU1NhZCIZ0CBWGbBfHgoJhXX\nM3oIhCwwfwcOHAjV33SsJLTo7OyUVHRkGBtHIX7/hGk4E1DFxMSERkdHE0pLryI4O+SYmjMPYZBb\nDAVjWF5eroaGhkTChzAblIaD5fxwaPBQGFeuwb3OzMwEYt3H3nXKHTzvS0XezBNEcRnBXMe8hGYV\nFRVXInzu/TwL5u/xelzTIBV77TLgHl/H55+amtLKlSuDcHuWzolury2CJwDiDg8Pa/v27ero6NDU\n1JRaW1u1bt06ff7zn9cZZ5yhq666Sk1NTTrjjDPU19en+vp6rVmzRqtWrdLzzz+vhQsX6tprr9W7\n3vUuPfXUUxoYGNDIyIi6u7s1NDSkgYEBDQ8PJ9qeImwYcOAvfMjy5cu1a9eu0AaWZRPbt28P7Tuk\norAgGHfccYe+8pWvhBCDA6WgrYl72KqqquDpn3jiiWC0PVu0du3aUBVOWIDxwPGQrXGviYAznygp\nKXlCOnr4IBM4Kchc0IwvkHUuMJfLacmSJTrnnHNUUVGhzZs369xzz9Wf/vSnIDMNDQ3q7OxUPp8P\nmyDA2SCTzmVimCorKzU0NKTW1taAjiDoncCOnSTLMlx5mX9eB/3DvYyMjIQiWPhRjCT35PQGBkwq\nZr3QJ+YW50d7mueffz4Q365PjhhBtj6HHFyDccpmsy+t9L2nZT2dGIdZMXnIAHhmCwFzJt9Tvm5w\nWltbE1W7nn7lfCihW/G9e/dq//79oYHZ0qVLtXbtWi1dulTnnHOObrrpJt12221hF4+pqSktWrQo\ntFpob2/X2NiY1q5dq7vvvluf+cxndO+996qtrU11dXVaunSpGhsbVV9fH7o5gipYPkCVr1RsGJfJ\nZFRTU6Ozzz5b27dv1+joqBoaGrR582bV19fr0Ucf1cTERFgsOzMzoxtvvFHXX3+9BgYG1NTUFDwu\n6IG/IZYxzjFBuXHjRu3fvz/0zcFwsWEiRDqEKV7SCWdCbs/yOFGP0YLzAK058nNOxA2DL5FxIzUx\nMaGPfOQj2r9/v3bv3q3a2lpt2bIlhEllZYWtsru7uyUpLAHykMP5GmSYJMaKFSsSDc3ijBp/o7hU\nTfvOHbFhdvlHvinBYMW9F+ByXhxyeXl5AgFRlOlZMNL73OOqVav061//OnTrjDNi/HYddf31Ehz0\n70iGaF44Ih7aOQpPPToaYVKYbKCf14QAm/keaVAgOR4GDwyx6eS0pJC+hsTu7+9Xd3d38Oi1tbVa\nuXKlamtrlUqlNDQ0FNL5b3rTm9TW1qZt27aptrZWvb29OnToUCgow5N3dHToC1/4gt71rnfp9ttv\n11VXXRUatjPRFDWOjIxocHBQNTU1YfsexoRyf8amv79fr3rVq0L7kP/+7/9WNpvV7OysfvOb3+j3\nv/99gPYVFRVqbm4OY+jZRkca3A/zFYcJcD5U/DLG27dv1/j4eOgkwFo6wg62VEKxUAY3gp49BFkw\n9xhFjBYK5L274dNAyRi7bDYb2pg899xz6uvrU1dXl4455hiVlJRo8+bNwQF4yIgDQNn4n3ukQr6t\nrS3Ruxrld9mVikgedE4ZCqjRCWHO5UjKq59BbKBldxrIt5e+oG8kFvi7sbFRw8PDwfjjAAnnkBH4\nSi+6ZN4cYPg2T7x+pGNeOCIeRkquzQHNYECYdDdEjnYcTTnxKyWbOqFMeA0nz4DMnjbu7u7W9u3b\n1d7erpqaGq1fv15nnXWWVqxYoZqaGvX392v37t3q7e3Vxo0btWvXrlA0yKAfOnRI09PTGhkZCfUx\ntbW1Wr58uY466ii9/vWvD5O0b98+HXPMMVq7dq127dqlnp4eDQ0NqbS0VGvWrAmhFmvI4Eempwt9\ni/v7+1VTUxN6KFMn0tPTo9HRUfX09ARBx+OhQISyeGPGhD3UXNicXKYB2gUXXBB25ygrK1N7e7tO\nOOGEsHiSkENSGB/n2nw+nPSERyJN7iGEr9XCoWFoQEveaGx2djbsNVZRUaFjjjlGJ510krq7u/Xn\nP/9ZF198sXp7e3Xw4MHgHAcHB4Njc97RM0N8FmMC+YxM4RBRVBwf4w5XNDAwEJrGYWzoJOAcKPMA\nuuEZuSahGfoSjw/RAVQEYS/Jk+Hh4fDc+Xxe2WxW5557bkjcEOJyT4TEPk5wZVKxbMLrBY90zEto\nVlVVdaULnseb/lsqro/xWBkDFIdtHJ7a9YGorKxUY2NjIhTxVcyzs7MhFGHv9ba2NqXThQrhzs5O\nHTx4UNXV1Vq6dKl+/OMf69///d91wQUX6IQTTtDXvvY1HX/88SovL+xQsWrVKp100kmSCiHUkiVL\ntHr1atXU1Oi8887TOeeco9tvv13pdFrf+c53tGPHDr3lLW/R5z//eT3zzDNBUJxfYAxAfNQUsQUO\n3nfdunU69dRT9cQTT4QFq1KxRQNCjVIT3qBkZHjgGCgt4D48u0MrjKGhIZ1//vkhiwjf4CSzV697\nUoJz8Xx8DnjPfbjziZFznGGqrq7WyMhIkIeJiQn19fWpra1NW7duDZsW/OxnP9OePXvCtUBSZB4l\nhT7UXI/QkrQ+4RHyjKIznmwKCZrBqfb19WnlypUaHBxMhHo4Bxyzh2xuvKWCwrP2jc9zj8wtxggU\nRQsZ+qEz7mzYSWeGCy+8UD/96U9D2YiPgeutL79hrl1mmbvBwcGXDkdUVVV1pXvZuYyR//jDeXyN\ngDm/hIJQN+FkZWVlZWg4ziS6IUulUmHJA5mUkZER7d+/X+XlhVaodXV1amlp0Uc+8hFt3LhRd911\nlx588EGVl5frhhtu0IUXXqibb75Z73rXu/TAAw+orKxMp59+eugHXVFRob6+Pm3btk1r1qzRVVdd\npXPOOUfnnHOO3v72t2t8fFzf+MY31NjYqJaWltC+FuXCCPCD5yVEYrEjWZR169bprLPO0q9//evA\n0yBQXmHtRPbExEQwEDEngLJiPPL5vM4880w99dRTOvvss0O1OPdFsy/QGHOD0WPOUcz4ehhK5lFK\nbqTghtFRbklJodULxgEk1tLSooaGBt1zzz06dOiQMplMWGLDtajy9qUroA13ehC8Q0NDoT8Rc4VM\nI9cTExNh/RbP0dPTo1WrVoWeWCA5Hz+MTozK4ogBQycVCXycD3PLnNN/yeuqONLpdCDAGc+HH344\n9PHmHryeyA1z3IXAQcP/oKyXjiGqrKy80jMmbkykZC2Qx8j+28vOOeCZ8J4MMApcXl7YzcI9lQ94\nrKRwDgsWLFBVVZX6+/v1s5/9TN/+9rc1Njamyy67LHADLOd45JFHtGHDBm3atElvf/vbwx5dS5cu\nVUdHh7Zs2aLnnnsuIL1169appKREl156qRYvXqzW1laNjY3pueee0/ve9z59//vfD4taY2TIAbLk\nmSQluAb4o1e+8pVaunSpdu7cGYQI5UegMUBjY2OJHj7eg8j5EbJZ9E9y7wvijK8Tt7DwNVbx8/Dc\nyAjC7qS0E8feyI4jny+UIoyPj6u6ulrPP/+8Xvayl2n58uUaHx8PNTn19fWhSyRV4Bgf6sm4Ls8w\nPDyshoaGYHycRvC6H3cikgIyo26prKwstIZBznEEUlKxGSN0BpRLgWmcRXNUhCGDL8Shuf7Mzs6G\nHWYo4Ozt7Q3z5WDBxxggAKLzCIf/X1KIqLKy8koUyZl+qZimRJj5HIMF7MWSOwnnBoXDvQnFgEwI\nHtdTqR624U3JwNx+++265JJL9Mgjj+iGG24I1bAPPfSQNm7cqEWLFumxxx7TBz7wAY2Pj+vkk08O\n9US/+93v1N7ergMHDoQJHBoa0qc//WlVV1frkUce0SWXXKLW1lZ9+MMfVkdHh6655hq97nWvCz2U\nnXTk/r28ntAS2D05Oannn39eg4ODmp6eVldXlzo6OnTGGWdoy5YtamxsTJTke0jgRLVUVHDGkzCg\nrKyw5Tb8FefA2+K9PeRzRIHwEgr4kg0P35yfAd3EGRonTrkXQjKQzt69e1VVVaXGxkbNzMyEvt61\ntbVqamoKJRf9/f3hXtLptBobGyUVUSHndAeGAUABMRDxCv6Ojg4tXbo0EWZRroGRJyyLna+HRxhH\nSaHqm6SB19q5g+XHEzUYedAxukBXiMWLF2vr1q2JOi2fo5KSkiAfHtlwfY9eBgYGXjqtYmMSkN9e\njxCTyDwoZCUP7NyAr2uJsy8okNdRxKlRvCgDinDk83k1NjZqampKb3nLW3TmmWdq165d+od/+Afl\ncjmdfPLJeuKJJ3T//ffrP//zPzU7O6vHHntMGzZs0J133qn3ve99Ou20Dol5lwAAIABJREFU07R4\n8WLV1dWpublZTU1N+tGPfqQPfehD2rRpk7761a+GbXzoZzQxMaGlS5eGiSZ7g2IyRhQ7woccPnw4\n8DRLly7VkiVLlMlk1NTUFEKBSy65JPSeYXzhmDBEniZ2BCIp7FJCr2w3ICinVxw7/8P94429Qp6i\nTtpUcE0QFqQ43pzlJFKybSpK5MswyHKuWLEioDOv1kdpCU1dmbLZbJCFdLqwWHd8fFxNTU2J7KV/\nx+kEHGx7e3toZocToDyBjRho7cH9gJ59sW8qlQrySQ1Vb2+vmpubE2EuY48hYMxBv65nJEDIlpHp\nXbx4sbq7u4OOIAPclzsAD9slJbLAL3bM2+p7z5C4QXFI7gPoFp7vO5HnhVQumJzTlyh41oPz+Dm8\ndQPH29/+dm3cuFHLli3T3XffrYcfflgXXnhhMB5sD53P53X00UfrlFNO0de+9rXQAuN73/uefvOb\n3+iHP/yh/vjHP+qGG25QZWWlPvKRj2jLli1BwbLZrH74wx+qrKxM//Zv/6b7778/MUYIAuuCUNL6\n+nrt2rVLixcv1vLlyyUphBYYMgjUyspKdXV16R3veId+97vfqaenRy0tLSF9j5KClDxEwXtmMhm1\nt7cn1m5h5J3jkYrLeOBPUE5e5zqe3kap4ZZ8ITNpZzKEyAOeHO6LEJ0ERC6XU2tra7jf2dnZkK6m\nHzbJDA99U6lUWKk/MzMTvltXVxfQpyNyz9yCxFn0GyNv+Es6e/o48lzO4YFAeM+NSCaTUW9vbxhT\nD3dHR0fDhp+uO87jgeJon0yHhO7u7hDmebYQQ+5JCXdg6JMvqj3SMS+IiBvlZjEYWFKvR2AgvdbH\n41QE0Ek9QgO/jsNsV7Y4DHBUhtctLy/X17/+dZ1//vmSpCeeeCIUvVVWVmr16tUBUbz85S/XkiVL\ndPDgwdAatr29XWeeeaa++tWv6le/+pUuueQSHXvssRoaGlJPT4/e+MY36uc//7k2bdqkK664Qnv2\n7NHNN9+sDRs2aOvWrYmqW2J/4DzLHPbs2aPVq1crlUqFHkdUIvMZwhm6BWazWZ1xxhk688wzE0sa\nPKMpFbsTkqljoSjem80bQToYD3gUxt5RRvw6cyIVU/fcj3NMzD/PgTEG8RDa0MqDquzq6urQhA6F\nYIkNIbhU5Incq3MvEPG0DQYJcA8YWUcIk5OTGh4eDn+3tbUFg+4K7WiKLYZ4H6TqPB4OibliyYhU\n7LXkEQV6hiwwziBsD6slJbokzMzM6LbbbtPQ0FBwRJ5R5XteN8RzkQCIl67Ex7wtevWUrbP2zrS7\nMvC9mCBzQ+YkmmfaXFAkBevvBCD3xPU8Y0No9rGPfUxXX321du/erQ0bNui+++7TG9/4Rv3617/W\nypUrNTAwoAceeECnnHKKKisrdfnllyuTyeitb32rmpubJRXgbCaT0Xe/+10NDw/rVa96lerq6pRK\npXTxxRdr+fLl+sUvfqEf/OAHes973qPFixcnEJ6kgJ5KS0vV19enhoaG0F8GQeX5SBlLeoHXZivl\n2tpaXXTRRfr973+fSC/jIauqqgKp2traGsIX2ntQn8UYo5zcL8ofZzed85GS241zjz4PeF0yQoRz\nKBsV0HGWKJ1Oh8ZsQ0NDqqqqCmURTghPTEyEBaHIpzslvo+xIKtGyIMMIV9OObBJphcu+p5hhJtw\nSBScOofH+Dhp7c4bFA+C4YgTBjhuvkeY77u+IGP9/f0qLy/XgQMHNDQ0FMoYQNkeifjKBk9A8HnX\n5fiYN0Tk6fOYP/B42CGkGyFJCeMBo49Q8eAIOtkZX6FMWOPrmtxAulKy8d+6det07bXX6sILL9T5\n55+vY445RpOTk2ppadHSpUtVX1+vyy+/XNddd50+9KEPaeXKlTrvvPOUy+V0//33a2pqSscdd5xu\nvvlmff3rX9epp56quro6XXTRRVq/fr1uv/12/eAHP9BXv/rVxCJIN9YoekdHh1paWkLls2dEHOnx\nHZ5LKnor6n8GBga0cePG8FmEzCuDV6xYETwfjoJujBiXioqKQM468mEefewJBfHSXkfj/B0OBMQB\nkiZcQNB9W2kQhG9rDqLgmVnew+JaGvGjjH7wPXoTcS9QA8gcc8HY873W1tbEcyLPk5OTiRYmjI/r\nCa+7DDhy52+4HcbFeZt8Ph8QE+PufCvPwXuEoHy+s7Mz7EfnYRaOB57LuT7XR09SzHXMG1nt3IxD\nNi9f57MMmE+UE4CeoeB8ns5lAr3NK8Q1pKrH03yXzEV5ebk+9KEP6b3vfa+am5v1jW98Q5lMRtXV\n1br00ku1Y8cOvf/97w/K19LSEkoFdu/erXw+r/vuu09jY2NauXKlrrnmGt1yyy2anJzUm9/8Zr3z\nne/UunXr1NzcrHXr1imdTuvJJ58MdUG+eJO/29vbww6ojuRACDGyg8wnpEF59+zZoyeffFKPPvqo\nfv7zn6u6ulonnHBCmB8aga1evVp79+4N5yTkwbiz6SRQH+PuAuihpXNXzDP/oxwohIfeVJZ79pPW\nJ17ywXynUqmAOEEjzC0yNTo6qvr6+qC4PFvMdWWz2bAJAf2TyECh2C5DqVSxJimTySSoCNL6vEZf\nIF98jHzGvJnPLTLO/7zmnQk4iBKcoPayjHw+HxIeLGQeHR0NRvukk04KHB3z4fOEA8P4MobO9R7p\nmBdD5MbEQyOPa+dCTA7x+ByTgIdxT+QexFED7wPjEXyH6ghlaWmpstmsXvOa1+gVr3iF1q9fr4GB\nAX3iE5/Q6aefrk9+8pNh3diSJUv0zne+UyeffLJuvvlmlZWV6ROf+IR+/OMf621ve5u+973v6dFH\nH9WPfvQjNTc36/Wvf702bdqkuro6HThwQIsWLdJPf/rTsH86QkMYA4phF1JS0w6ByYq40ElKKM6h\nQ4f0hz/8QY2NjdqwYYM2bNigCy64QOedd542bNiguro6nXjiiZKkxYsXh9056uvrg6EAkTC2Tgi7\nk3DFdG/vBLp/hpATOcG58GxwT7HxRbEJT5GFpqamF4SrtOR1g0YRH4rvP85XDQ8Phx5Qnnr3TFRZ\nWVlwIP39/Tr++OODbGEcHbHzjE4GsyzIxzEOyXBOnAOZJ4z2rJ3Lu6RAXINwnKeFsOZAH4477rgg\nT+irRxDoo0cwJIHQ5SMd82KIUBSpmD3zQXV+iNccIXnKFovubL6UjIsZJCZVKoZueKF0Oh28EZPm\nLSy+/e1v621ve5t+/OMfq7OzU//8z/+svXv36pZbbtF1112nrq4uTU1NqbOzUyUlJfrHf/xH3Xrr\nrRoYGNBtt92m66+/XpK0b98+bdq0Se9+97v1i1/8QqtWrdLBgwdVUlKib33rW7rmmmv0gQ98INwz\nqVnCDPaCT6VSL+AZpGKq2wlfUMXu3bvV2dmpE088URdffLFGRkbU19en0dHR4MF27twZVuu/8pWv\nDDxUPp8P2R0XflcSrs2Yu5HkPUnBg6L0CHRsXGIviiF2EhRZYiEy44XT8fVfLIwlG4RxBy2BvD1F\n7cZUKlRDc1/IVMw3UmYAVwSJm0qlQlkByz7S6WKrXJQ4lSrUZzU1NSX4zDhcdCfuqMnDOc7N8yLv\nzEH87KC98fFxjY6OKpvNhjCN+qrYWLtRRH+kIgJ2DvZIx7whIjc8UnIFvRskF24QkQ88aAaBIMzy\nlLGfjyUQbtycaGXAysrKgvdat25d6FxYV1ene++9V01NTers7NRHP/pRXXPNNbrpppt09dVXq6Gh\nQbfeeqve//7367TTTtMzzzyj++67L3Aeu3bt0lVXXaW//OUvOuGEE8Kurm1tbfrZz36mU089NXAu\nqVQhzcz9Dw4OasmSJSFb5N7UU7qOKPh5/PHH9apXvUpHH310aGZGdm1wcFCPPfaYOjo6wiLMffv2\naf/+/S+oC6J+xtfAefYFVMByEpCIz5v3nPZME3Pnntx/+1xKSnjt6elp1dbWanh4OKAtFId7mJ4u\nLEKG5yovLw+9msgIepEkiu+hbj6fD2GgpITSl5aWhjV2ZWVlGhwc1Lp164Kh5bNwbG503HizucPw\n8LDq6+tDGYAbQH4c4fvYYYh9IWysT+ihV4wPDw8H4l8qOOyxsTF1d3eru7s7cQ+Mc8xhSkpwRpzH\nCyLjY94MkVtzjAAD4wPrWRRHSu6FiFX9+5zfv+MpRq9IZlDxrkwkIdHAwIDKysr0xBNPhL7OeLaK\nigpls1ldccUV+uAHPxj2Pzv22GO1cuVKVVdX6w1veIO+8IUv6AMf+ICuueYa3XPPPTrrrLOUzWZ1\n2mmnqbq6WoODg7ruuuv02c9+VlNTha2fDx48qNHRUVVVVenpp59WS0tLEChHEe6JIOVBF4cOHdL4\n+LjOPvtsZbNZ9ff3h7HI5XLatWuXxsfHdeyxx2rfvn169tlnlcsVCvgcDaRSqbBLB2MMgnSDw/UZ\nSwhZn3OH9+6UQGVScT1ajKJAghg9zl1WVqbR0VFlMplAJtfV1YWMHtwM30UuUI7a2tpEgR/OjcMJ\n5NHR0fBd5IR75D4xqgMDAwFlubIi826okWO2tnZEFDc983vye/P3QLNumCClR0dHX+C8GSdvRwKx\nn0ql1N/fHxq+cU6uFYfg1HLxvtMocx3zFpq58nh9iFRsfI9gg17wzJ7ydYiNUeE35/KDVc5MCJwE\niknc7LzV888/rzPOOEPV1dX67ne/qxtvvDG006CepqamJrQI+Zd/+RcdOHBAqVRKDz/8sF71qlfp\nT3/6kzKZjL7yla9ow4YN2rVrl1asWKFnn31W1dXVuvHGG3X++edry5Ytmpqa0r59+zQ1NaUFCxbo\n0KFDWr9+vUpLS0Mth6REQZo/L0KwZ88eHXvssSEV7HVEo6Oj2r9/vxoaGiRJBw8e1Gmnnably5fr\nwIEDiYwJVcCEEvRFQiElhX5KGAvnt7hfxpR5l5KLjlEIQgoKMDEchBGgCJwHxg5yFQ5ncHBQuVwu\nFCKSNYLIZcdZ7mN2trB9uCPMWLm5lhPUXmqAURkeHn7BshDGP07QYAC4TxAjjeaWLVuWcJagS6c3\n3EgxtiAvln+4jlEX5iUfcGWE9lKyB9TU1JT+5m/+JjyDF5DyHITIPDdh7ovVEEnzZIikooFwMs1j\nS0+Bxgy9Hx57YmD8Pf+pqKgImxISTlAs6JwStRJY93Q6rWeffVbXXnutzj33XD366KNqa2vThz70\nIY2OjoZOgLRQKC8v1z//8z/rzjvv1H/8x3+Ee9+0aZOWL1+unp4ePfroo4GHKikp0atf/Wp9/OMf\nV319vfbv369XvOIVWrt2rQYHB9XS0hI8OTU5jiQwpI7ytm7dqvXr1wd0wJbUXs/h6ea2tjY999xz\n6urqCiQ0HA9GwCH90NBQYg8yvsNYc0/ewsSNPUYFZfZEQ2lpcS8slNidEtkmdxiSQt+iiYkJHX30\n0ZqdnQ0V0yBXGu17xtX3lMfhObkdE8X5fGGLoMrKysRrGAue7aijjkqEejgvZNz5MwxJJpMJodjM\nzIx6e3tDaxLnMJ1/cX3ifUcghKNkHJ0OwZGBsqE6QEIY3pGREY2MjOi4444LIR/y5E6dtW48G7VR\nL8YPSfNoiOIlGUygZwmcEPTvefZLKnpVD8+8CZWfg8ZPTDbcBuEC3hKvBwIrKytTS0uLHnjgAd12\n2236+Mc/ri9+8YvauHGjLr300jDBIKTx8XFt27ZNL3/5y3X55ZdraGhIX/nKV4J3m5iY0LZt2zQz\nM6MbbrhB3/rWt/Tb3/5WMzMzOv3000MxGdkXXxPnNSIoDN6pvLxcW7du1emnnx74JcIiQoSZmcJi\nT+5zdrawNo6UdkVFRQiT8H7uMGZmZsLGg/zv88C1UAaUjPAEpaXZViqVSmTCUGjuF889Ozsbrjkw\nMBDGBkNHqrm6ulo9PT2hK6SHlZJCZTnG02ty/Hn8mZwq8Ofz0N95JK7h6XHnvJAvSWG5DnNLBwB4\nK6rkQSFzoYuYI+JansVirBhTDBXj5LoIH8hzsvYM48vzgX6YYxI/Pob8/ZJL3yM4PsnwHc4RxeQh\nXh+ldMIWhXFOifPwP+QvbRu8TB10QEyOFQdhSIWBZMvoz33uc1q8eLFe/epX68Ybb9Qb3vAGvfa1\nr9X4+LguuOACPfXUU9q5c6fe8573qLa2Vo2Njbr11lt1wgkn6Cc/+YlyuZz6+vpUVVWlQ4cO6Sc/\n+YlWrlypRYsWaXh4WIcOHUosR3DSWCrCb+4NXuKJJ57Qq1/96kAW8zlCH8aF2hlCkxUrVoSivsnJ\nybChImOKkAPb43ollMsrqDHgjD3GBo6BVrZxuMIz+6JWiFzmxZ/F24+AimZmZlRXVxcyjY6scRjI\nIM8IUcv9IqvMvXNmjKFTB3wOp8AmCE7Y8hvESBjnRpi5oWoeg4bcu9P2MhcO1y1Qqd8H1wV1ecZ5\ndrbQAiaXK+z6gTxIBcTZ09OTWKzsNIrrsI+T6+mRjnlDRM60ewbCGX6Pl72cPF4x7JMSZ1k8y4Bx\nIwXpPAACh+HDOKHAKBKTR9P6b37zm1q0aJHe9KY36brrrtOnPvUpvfKVr9Tvf/97/fCHP9S73/1u\nXXzxxVq/fr3q6up0+PBh5fOFJSP9/f26//779Za3vEVXXHGFBgYG1Nvbq87OTq1cuTJUBUvJYjZH\neO4ld+3apZNOOil03OM7ngpnzEtLS4Ph6ejoCCvoSX2jnIwJHtlhv4+tz59zeFQvz84Wa2hQQmpZ\nfM7hhry8guuTRh4YGAgCzxjQVwgEsmjRohAyUzlNSME1MB5VVVWJFDaciDs8D894NgpkGSNf0Mp4\n+DgQikLogxBpYu81TWR36+vrw1ZRhFAgeZdbDjcAzBVOirGhUBKH6+Q6XBHbhYPcQHUdHR3B+XDg\nzHndQ804q3hEe3DEd/4Xj7L/2enV4SzHXJPoxLaUXF0fe6r4PB6mSQWhhLyF6EagCcO8+tXuOSh0\nbW1tIryoq6vTPffco4ceekiXX3658vm8PvOZz+jBBx/U/v37tXDhQrW3t+v000/Xb37zG9XX1+uk\nk07S9u3bVVZWpoceekjpdFqLFy8OWxaRCube4lDT0+H5fF59fX1atmxZMJaEih7KEXY4UeueeWpq\nKvSVhkchDPaxYIxYgxbPm2do/D0PqzkfZHhcVMdvBBzlqaysDH14MIzOl7W0tARl8rIMDAVheGNj\nY7jOwoULQ0aROhpPaSNHHDGSJ2XvyGpqaipUvqOEMe2AsfVsFgbSeTAygJRFON3gMsBYuz4wBxh+\nDPvs7GzYGgrD778Jw0jll5QU2hKzq4ePi8vkXBQLz/c/GeiXVj+imKx27+qvOWfAd3lIj4fnuoZU\nLHhk0r1snjVRTv6iZEBPWscySbTkxCtBXKZSKd1333363Oc+p7vvvlsnn3yyxsbG9NOf/lRnnHGG\njjnmGHV0dKihoUEXXHCB7rjjDlVXV4fdNNeuXRtCx7a2tvC8jjDcQLrxxLMiWKBH5zAYA8JPFJLM\nEorHWKfT6dBQzfkFV36K9rgXL1T0cWe8IIPdCyMDGEieb3h4WCMjI4lq4KmpqdA5kfNNTExocnJS\n/f39amhoCGEaBK03CqPTJG1d8fwgyNnZ2USXRM8weUiEfEFKDw8Ph/CP15hLSQkZwwBJCiQ6cplK\npRIr/xcsWKDJycnAx8ULWf2IuVDntJzucCcyNTUViHrmgLmvq6tTLlcoCCVUq6+vD+PrJLvrD9wi\nTsAjihcLzeatQ2Nsxd0IcRAb81BeOu6IyYUG44RA4x0xXniupqamMGiOiqampsLAczCY3s/Hz19Z\nWakrr7xS3/ve91RRUaGOjg7de++9+tKXvqRTTz1Vf/jDH7RkyRJJUmtrq66//notXLhQW7du1bp1\n60LtSz6f1+HDh7Vw4cIwmV7PwhghTBiW3bt3h8I59+IYIbwx0B6jBkrA0FBLQ/3H2NiYamtrgxfm\neRlv7g9hp2LYkQzjzzXdi6OAHtL5PVdUVIRyBQwXyuLcIf2gWR9FJpKQjgJRQiNI8rq6unA/Rx11\nlL75zW/qjW98o2ZmZvTMM88kZNabwyGjzrn4M9Jm12Uc4tjT2RgoRxQ4EE+6lJeXBxJeUkgwMMcx\nKorvT0oiI77D/NAOFiLaEwfwlNXV1cpkMmHDxThLh2MGUeXzxfokR2hHahU7r4gIw4CA4i0c1iFw\nTFycWkXQOa+HZBgyn9h8Ph96FPt3KXxLpwstIyYnJzU4OKj+/v6wJRDkpBupiooK1dfX67Of/aze\n+9736kc/+lE414033qjPfOYzuuSSS/TUU0/pL3/5i04//XRVVlZq586dOvfcc5XNZvXMM88EzoYO\nihReMpn+fDz3zMyMNm/erFNOOUXDw8OSkg3jpCLXhcI72e0KAFx3Tqauri4oildzgySlYpiGsQA1\nMJYYcJQMBMMccT3nv+CpqGDmeqAbJ9BZilBfX6+pqSn19fVpeHhY09PTOu+88/Stb31Lf/3rX/XX\nv/5VDz/8sB566CFNT0+HBmk4nlSqsKMG69BQbOSyoqIiFEj6MyE/3v+IDRooDcEIIS88O+OGgwMx\nOuqtrKzU4OBgaPJPVsoRRxymIwPuuHA2Pte8R3M3dA1ZJ3MLr/boo4+G64Byfd6kIiqWFEJuD9uO\ndMwLIiovL7+SwfMfDie53PPGfEdsgLzYkQnFcvN+KlWo4F24cGF43cM8V1z+HxoaCvVCzjcgeB/7\n2Mc0MjKilStX6owzzlBLS4sOHDigPXv26AMf+IBuueUWbdiwQZdffrk+/OEPB4Pzpz/9SblcTq94\nxSs0MjKiw4cPK5PJJFqnxoV1TrxDZlN7ghd2YlUqhha+jMHDserqag0NDamuri7hJCSF7noIH6hH\nUiAzfYxdMTyUkxR4KxRBKiYq/J6ZD+aBv507SqeLi1yrq6vV398fkM/w8LDuuOMOLVy4UKlUSj09\nPers7Azn3bVrV5hLFHrNmjVas2aNRkZG9PTTT2v//v0BPSNTcCVVVVWh+ZsnNXBsOD/arPpYxKS3\n1x3V1tYmQji+AyqKWwW7/MbEtUcXvAfS4T3mCeOKrCDbvnxj4cKFevLJJ1VTUxOMKPMN+uW7jAOv\ne/TykuSInOD01xEYN1BxqtX/x2i4QmDA3LPxGScEx8fHE0S0VGwRAZ/R1NSklpYWNTU1aWxsTAcO\nHAhLI6anp3Xaaadp/fr1uuyyy/Sv//qvOumkk/TJT35Sl19+uRYuXKjbb79dP/rRj3TMMceorq5O\nPT09+stf/qLy8nIdf/zxGhwc1OTkpI477jhJStRowOUgePxfX1+vrq4uHXfcccEY5PP54IXYJtjr\npBgTz0yxKJRNEr3FKuPuvaEwwgirCz/j617d15Ix5lybEIoq5bmIT+6B9/ifVDvGZ2RkJMH10POZ\n89XX14fw7KabbtLhw4eD0gwNDemEE05IFPiRLCCM89S0ywoKV1NTo0wmo4mJidDuNZ1Oa9euXYm5\ncK4pnU4Hsr+mpkbZbDYgT1LuKPrs7GzoDOlZRQy0Ixx3Rn6fyBEOG8PhCB8ebmRkROPj4+rr69PY\n2Jja29sTJLU7EA8r/fncgfyfOKJ56dDoxLRUbK7kYY+jHuCfQ0EnQ52cpQoVXsfRFQMzMzOj5557\nTsuXLw9d9xBABpViOSm5eLShoUFNTU1hHQ+NzuCJLrroIv385z/Xt771LZWVlenTn/60HnroIVVW\nViqTyejBBx9UPp/XypUrtWTJkoAyOjs7w1oyV0A8lq/Pqqio0N69e7V69Wr19fWF5mUYkHy+WBXu\ngggCwij5kpiSkpJAiBIeMc54x6qqKknFDBL8Ao4BpYG4JexwolxSWC7inj02fHhrYL7vl4ZcHD58\nWM3NzWGbIAwaFeuuZIzD4sWLNTExoTPOOENPP/10yCatXLkyGEsUm3NQlc04upPzkCadTidW+zc0\nNGh0dFS7d+8OvB+fKykpCb2hmWcP20imxPwPYT+hk4dbyEesZz7XvjIhlSrWdvF9xha0W1lZqYaG\nBm3atEmNjY2hlMCzuVzDs5+ME5+Rkrsvx8eRG4T8Lx6ZTCbvaChGOe75EOIYavI9hB9j5DAwzh45\nIhgZGdHZZ58dGkHhTVEi2obiBeBkQAT0i6HeZHZ2VgcOHJBUEIY77rhDGzZs0MUXX6wnn3xSg4OD\nmp2dVWtrq04++WRNTEwom82qtLSw1e+CBQsSsbZnyzC+TmZu3rxZp512WhBCDCjP52lhjLqTzFzD\nnUB/f79qa2tVUlIShHB8fFyTk5MBGYAGmBPmyZEMyyhiw+geEq+OcmAcMYSMNfcJSiUcm5qaUltb\nm97//vfrox/9aGgsxpKOzZs3a/v27cEYNTQ0KJ/Pa/ny5WGMTj311GAQf/GLX4SQ7etf/7p27twZ\nWsr6PfgyC8/aeoYNQwrBPjAwoIqKirBUB4Pu7ThwnBy+FITr+Dqw/v7+xHbejmqcS2Ru0ZE4QvCF\nqY5iPcysrq4OCRwPwzwj5tQBEQqf90hkx44dc9qceetZHYdcPFhslNyQgG5cGVAACD8XCupwPNZn\nwGpqarR//341NTUFpRsZGQk7M9TU1IRWDI2NjSHcwVhQbwKpDV9DQ/n3vOc94bzNzc064YQTQpXq\n+Pi4BgcHQ6jS19cXCvCYRBSUxYbOK/T09OjEE08MyupoEU7FjfLsbLEglHHAC3oKlvhfKq6oJ4Ty\nDJsjAScgHd24g3HkMzs7G7gqN7rULzG3oBKpuKpdUugsMDw8rO985zvas2ePvv/97+ud73xnAo2g\nINTgEK4xTlNTU7rssst0zz33hG4KyAfkNel1dz6OMjwM4fn5DoY1l8upsbFR4+Pj6uzsDAty3fk5\nD+ilJhiyXC4XeikhFzEv5NFCbBg8CUQGFOPmW0c5H8tYV1VVhd2GMSqgVy9Q9Gwnv10G4yRPfMyL\nIfKJc4MkKYF+4nAMA8URGx6pCE3xKE6ooXT8Pzg4GArPOD+b7bHIXb5MAAAgAElEQVSXORNBnxgW\nLpaXl6uqqioUs3m4yDPW1NSEauXe3l719/eHiad+pa6uTqtWrQqGzHkywijOByrp6OjQihUrgtJ6\nGweEDiMAD8I5GA9PGzvf5ntqSXM3saOQEfTh3A7j7wspPYTz+iHCakhY6qC8WR3ZM6lY4T0wMKA7\n7rhDvb29gdu69957g/H3NDLhVSqVCpsqcu33v//9+vKXvxz2JnNH5UYcgp7ncOWKD5yLly9ICiho\nYGAg1KhhGPn8XGSznwOUAomPvLq8uHHi/sh6xokEd/wuH45ECf0cAToiBhVhgN1Aun66bMx1zBsi\nct7GjY4bC7yuw994wB1NuSBxXpQUpfTzT04Wtko+fPiw6uvrQxn90NCQJCUUkgKvzs5OZTKZBDoA\niSAoeFwmj99eFCkVJr69vV0rVqxIbMUSC5ILyNjYmFatWpVI3eKx+TxGgHGZi7z3DAoelnvzIkJf\nh+Qohuv6PcYOwWuISNVjYKRif22gP9/zeWfeqAcaGhrSW9/61sT2RawOv/vuu3XRRReFDBOK0dTU\nFJAI94SC/93f/Z3uv//+0O/HQw9JgX/LZDLq7+9PhLnxc/PMnMNDH5wfG3XOzs4G5AUPx5w6X+Tl\nGy7j1dXVoT2vo2U3Po6sY1IbPfH5coME7RAbZtc3R10YUp4hThbE8hEf89qhEejNYDJ4CL9Xero1\n9dSzVBwkXnNBYoD9+xgKPDO8EBOGMvT19amjoyMYMLiGdDqtrq6uoBijo6MaHBzU4OCgRkZGQvdD\nkEc+XyCcnTRESIC9XJesCffIOJF12blzp2pqaoIh5L5AJign1/YULJ/zc6MgjJcLnxPDLsSMs2cb\nUXDOicHhc1zPV4C7IfOQm4P3MUIQwB//+MfDnJFGT6fT6ujo0NVXX50weCzBQUl8ndXMzIyuvPLK\nRKdHlBnkQ58pkJaXNvBZwkEOPuPGwOWxvLw87GZLzZErP0gYhEorX8aEbaBaW1tfECZiIDBojqwd\npcTGlAwxCNJ7Q3l4h2zGBorQmXN52E4G9CWHiPxB3Jo7yebQlIHwgfHvI7CeYWPynSNyVERpfUlJ\nYcPAbDYbBI4UZklJiVpbWzU9PR0aZlVWVqq2tlZtbW2JkA2iFSXM5Qo9e1jpjxGgZmN8fFyNjY2q\nrKwMCIxsHegIghHSGCMD9+Uh7lxC6LG+j5n3nKmurg5oBZI6JrExJhxAd+8M4P97wRxLYiQlUCMG\nOZ/PhxR2XV2dent7VVNTEzgUskuklLdt2xaIZOciGL+2tjYtWLAg3FdTU1NQCuYF+SstLQ3XRlY4\nQIm+/TShM+OILMWr0J03Yz74vMutI3/GHBQPwoXb85ISJ4Hr6uoCkRyHizgRp0Bc/8iOoTeuPx6F\nME9ehe3Zsji64W9JibGJUZgf87bltCOX2NDMlT3jt1vqOExj4JxA9InzwSGmPXjwYGj5msvlQo/g\ndLqw1qqjoyOEOplMRpWVlTpw4IDS6bQWLlwY0vyHDx8Oe4zhJRsbG0OtDjU6UqFyFQXDW4MEmXRP\nqVJi39HRoSVLlgShiPky54kQ1Lk+w+EhimfTvKeMCxiHe0UnxmnTwbx6+QTP5YQ96IB7odWrIzXW\nfo2NjWnNmjU6+eST9cc//jG0KXFSuKqqStlsVl/84heDoXPU5kgGlDA5Oal3v/vd6u3tDWNAbZmU\n5GUqKysDenJldgPm9ALj7yvb3Rh5yOLhtaMbumHy48W02WxW6XQ6cE2MRSwPjK+HujHxHDt35MSN\niIflHu7Hjh2HzfX57ouFZvNmiGIr6oOGR3GOwScdg+PxvhfRSS8cWOdyqImZnp7W4OCg1q5dq66u\nLuXzhVXsnkmqrKwMBmVkZESdnZ3huh0dHQHuNzc3a3KysL1wTU1NyJ4hUIQ/GECaXbW1tQVlS6eL\n/aYZAyY0ny8srn3Zy14WnsWhdTzhCK2jItLFjAHPKBUFN5VKhSUOkMke2rnBBMrT0sKzKDgAnp1n\n5j1kABTgisMYgEaGhoa0YMECDQ0NqbKyUmeddZbuuuuuEEY6X1VaWqpjjjlG27dvV3Nzc8IIucPj\nGWdnZ3XccceFeyAbCnpDWb17oxthR0DMNc/GM/Hjjdr8vCQ/PPHisu664dsekRnkvv2eHS3HJHN8\ncA2vio6fAzSEbkkK9Vroqkc3zKs/y1zXDvbgiO/8Lx+uRHAOMekXZ9D4PAbHK1SZNEdT/jkgtENz\nlJ8MhlQQpkwmk/CAXV1dymazamtr0/HHHx94gzVr1mjFihVqampSX1+fenp6Aorq7e1VbW1tuCbx\nvqMzdphA4SG43as6ooGc9MWTzrehLHAx3rdJSm4c6ePJZ+JUvI8fjdYwziiOt7CFl/IEBOeicBOD\nBK+CErghGx0dTWxpk06nQ8aL67/jHe8IXQrcwGDM+Q7PiKw4YkP51q5dGzYLYHz4u6amJnzX+zEj\nKxgDDw9xOh4OIo8YDM+0+i4dyAdy6caca2CUMAylpaWhoJO58bCP7C/0gbfF8fFhTtBH5Esqcnju\n8HBsPC9y5Jwu53EjPdcxb2S1w/W4hijmh1BKqQgVUSpJIa5GaaRkfxwpmYZ2voN2mHj+8vJyZbPZ\nsJtlWVlZyLp0dHRo7969amhoUEtLS0g7S9KiRYvU2tqqxYsXq7y8XIODg3r22WfV1dX1ApQRG0OI\nbUhIr5LFULHsg3v1seFchCEcCLIvPvQx5HxO8ntdEooKJ+CFehgFkJEXVZaWloZFoLzOPY6PjyuT\nySQMBgiV5RHUFGFwGxoa1N3dHZQKbuRrX/tayIzhbOrq6lRSUtwJAxlwZ8AYoORsepDP59XQ0BDG\nLJ1Oh+2JQAtOxPv5UTYU0h2Jb3PuhonyAkkJg8HYe9iKMSQUdkPmDsuXWdBwDceE48CQOZfI69RT\nxdlspz08gZFOp0M3AA9TPTTGCL8YRzQvhigOsaQXFmQ51MO4uAGLra5b8LieBsjuRDJebGZmRp2d\nnSF975kcJ7xZe0NhG21A6WyI4RocHFRFRYUWLVqkNWvWaGhoSDt37lQ2mw1N+SH4aFSFcjNp3DtK\nTCNz97YO/b3PduzRGBtW5/NMvn+7h1ugFoTGx9TDESf/47CX91EY7yxI4SifY57ZBYTnYO0YiQRv\nVjY0NKSJiQnde++9etnLXhaeK5VKBfK9paXlBWQq97p58+YX9MgeHh5WPp8PTe9AKb7MAgPrYQZz\nMhd6cQfpBkcqEt2pVCosokXu4Xx8DDFyXnZBfZMbet7L5ZLbPpMNQ7YwEhgpEBMGy8fUQ0NPSICS\nQMqQ7HEY70mPI9qE/xeG5f/v4YPmnon3EARHRwwEXsmVzLNjMU/kUBJhcAMHVOd8UkFICDVoMA+3\n0tDQELJWoBzulZi5pqZG09PT2rt3r0pLS7VmzRpNTU1py5YtwXDhAQcGBhLCx5oqivd4XghUeJax\nsbGQ0iUM82f177nS+3IKBMh5oOnp4k4PTpJSuIlQwWtwnygW4YO3CkEwMTLeg4hwzg0aRr+hoSEY\n0Lq6usAZESJVV1eru7s7GGvOS4re59qV6oEHHkiE4sgG6Nc5tPg+XRYxMjjIuLcSRolQDL7PwyRJ\nIauIvDly8ip157mYLyeb+SGcxAGDeDx8cifgf3MfPh8YQUd5zsshD5yHc7gjwDAd6ZgXQ4QBkpQY\nXAyB80Y+ALyHsXGo6KGHW3FSrngJSS+YkLKyMmUymQR3gKCQ4VqwYIEymYz6+vo0MTER0vhwIpyL\nHj5kNCoqKoLxSacLdSk7duwIAt/f3x9S3Pl8PgiipIB2IFAxetlsNhhrXsegEzZJClXcoEFv3+Fj\nLCW7CPJdDhZaOqFNdonxZw8tzutIyg2jVOzdIylhhDCUvb29Wrp0aehdlM/nQ/iKwcV47NixI7xX\nWVmpiYmJ0C6W5/PsYy6X07Jly/TlL385jIVzVRg57gmj7JkzZIo5YvwYGzfUoIzYgHiFPkYe4831\ncU4YlVhfQGauE4S/ThSDWpBvr3nye3Y9c8qEz2CQ3JF7WBh/nx9k+8WyZvOGiJyHQAidqPVBwIg4\nBPWB5n2fNIfkeCQnKFnMipKOjIyE990rQSYSKtCTBkPK+aQCsUmRYyqVCnwDId2SJUvU09OjmZkZ\n/elPf9LBgwcDh+DnQig8E4IQs2+7Z5ecpGdMQVMgFhdYXnevFaNUT8MiyBinuBARoYSEdq8pJfs9\ng8gIOQhLQJdTU1M66qij9IUvfCEYG5BWSUlJGP/p6cJebe3t7cEo8xyEHLHDce9/yy23qKSkJCBS\n3neSHvTCAuepqSnV1NQkzonR8WUrlF54IoS/nXT2CntHH855OcpzQtyrpUE+jsJcvzB67pw9rc/r\nGM25dBQd43PIIEiNeY65Mw+LnZuNj3kjq6XkymKvOJaK6UBP6bu15Rx4Ox7YzwHRyjWcXHbSMp0u\ntJSgYtkNIG1FCOO4PrxROp0OiyHHxsaCQctkMqFnTmlpYRdPtpbGyAGhn3766bCw1sMmb+1BE3Xu\niXskhCTsIXxxxOnGys8jKfBBCBnPx9iyx73zTowlXJOkYFw8zOBe3Nm4YuBh4X/IJD788MNas2ZN\nuB4EPeEvmTNIaw+7fa80RwF+7+l0WitWrNC+ffvCefksWzQTdmFkmDOWinhlOzLlPGRsEKn+BlUR\nzldUVKiqqiogIl7z8IzrowPII8/IePv/9JxCjuNWOS7nHHNxOPFrjn78mT0UdnlinHjtSMe8b7Do\niuJpTLekUpLv8ffdOnt2xDNkTCDC4N93FAL6oAKamh8gPQrJNbkv50AgH0EHzc3Nqqio0IIFC7Rn\nz55wb2TrIBQff/xxTUxMhN5DwHdJie1kHC2mUqnAoXAvhDf8dp6H+3e+gXomEBTjy1ITruf/x+EW\nJDl8FEYqRml4clAgXBu1MYODg7r//vu1c+dO9fb2Jvg+lBnBRqhPPPHEgALGx8fV2tqa4EOYZ7+X\ndLqwbOSuu+5KhHpwTel0OjgB1oNx7wsXLgw1NRgNJ+NR9jhr5FwKz4TBQT7dYLnc8hmQH+d1WfDn\n5ZmQCf9+HCJBtrvjQjf5PvLD/bic8INxc97U5WguI+fHvNYR8RDOEThpHB8O9fxvnwCpmKoHZuIR\nGET3jFIxMwQh7UgsbtLFZyFduT5cDpOayxX2XK+rq1NjY6MOHjwY7gd+yWtzJOnAgQN6+umnQwbO\nSfwFCxaEOiIQESQpyu8QHQ+FUUCx8JKkynkmvBZIEQWAvJ6ZmUnsb++1KCg66HN2djbcj3NBGOC6\nurrElkAoH6l6xv+KK654QZaO52bZDUZhdnZ2zvV8XmTpfEZJSYl+/etfa/ny5QHZEKL7gk/PmmEg\nuBccoFdLe10QIZmTxu4UJYUlPy6PjnaRKRAW443jdOTk9UdSMapgzOKEDpwUaMnDNK7jdAj65c6B\n++Ve4Ngc/bmOHumYt1axkhID74aJ12JSjAfnfQ4GMK7v8BoGJssJNym5BGR4eDixpzfXRjl9UlBm\nrotHdoPW0tKiVCqlQ4cOBc9QXV2dgMWQoUDz2tpa9ff3a9euXerr65NUMCa0qmCbHNKunr51wXPk\nRp2HE9GMuaMoSGQMnXNJHDzj8PCwxsbGwjowwjC+7+eTFJZTwLvQZ4l93GZmZjQwMBA2OywtLdUJ\nJ5wQao4mJiY0OjqaCKl/8pOf6Pnnnw9zS3M5T2J4GM//XmFOzRLzumPHDqVSqURlsIcaPJMjBg99\neM2NB+dGKQnxHfHgICCp4c0I7T1jyf3CITmnRC0ZiMqpCg+RMDhO5HMt9ISx5Bnj3liuE3zXkbMb\nQadW5jrmzRAxEHG2QXrh9r5xLCsVlwnwsJ4184PJQ3A8VvVsBoMcF5lxXyg598a54FGkYjaqvLw8\nNFzr7u4OyIP7Y2GrczkgBLJ07D+/b98+dXV1qaOjQ01NTers7Ax7kSFI8D7wMo4auB+UFV4LYcIo\nTU1NBQMyMjKi0dHRREbQnUV3d3cwUr57KQadLBuemR7O+XxenZ2d2rRpk7Zt2xYUKJVK6eijjw5k\nNPIxPj6u2267TRdddFEYf8LZb37zm8pms6GPUS6XC4tlIfVdWfgNAkNZbrjhhhAGT09Pa+vWrUG+\nCDWQQZqTOfEPmYyDgcOpqqpKlAbEHBY8jxcmsnkkCLWuri5BwiOTfM/HmZCf3+7EXe/ikMvP7eOE\n8XCZhy/1iMLP4TVGPrd858U4onnrWS0lmXkEg8Hz9/zweJcDUhr4KxVrIVwh3EMhWAy4k+MULaK8\n1AehrMBfh7tSccU2BgJFZeKoMaqoqNDAwEAwcPQAwpM7qQsJTuO0dDqtnp4eTUxMqKGhITQnoxgT\nhSKV7aiLLJiHv6ADj/e5PoLFmGI4uV84J/5nDMjosI4K7zw0NBQUi51LvRd1W1ubDh8+HMY+ny90\no3zNa16jd7/73WFNHt0zc7lcWCQLiYyxuemmm/T5z38+hBPOpdTV1QXjfc0112jjxo3KZrMqLy/X\nli1bgvwx765ooA2Un7l39IDRJmOGEsZZPGQ5XrpBEzWWtzC/yBUGkvsYHR0NmTCMhafwXT/gcFze\neA3jFVfhe3jp2UB6hfNsHgbH8oRcH9Em/J/Nxv/7wzM0vpo+Tv05BHQk46SbIyv33jw4E4lRQ1Gk\n5CAzkH19fYmFhRgAvo8B4r7wfF42AFwmQ8ZzYoxoKeKZDMbFERqKiocdHBwMYzM8PKyDBw/q4MGD\nymazGhkZCTuOjoyMqLe3N2EcMKDwTA6dORg/0CG1QqOjoxoaGgpoiTCLEG50dDQRxoEQebbp6enQ\n7B1DMDo6qr6+PmWzWa1atUqSdMopp+jBBx8MBo4xr62tVU9Pj3p6etTb2xsWKKdSxa6Vy5cvD4pd\nWVmpW2+9NTxXLEOZTEY1NTVhCQSbIUxOTqq9vT18lu9hiEkYsIbNOTxkjmJKr1Qm7K6srAyIm3ok\nnwvCORSezxDKOWflldkYYeTPQzM3PhiE2Pghm+iOh/44MIyIcz2geM/QMV7MHSiRuTrSMW9LPIhp\nEWZHOXEowE+cqcII+UJCIKHHpXgu+BAnrT0tTXbIdwBFCDz173E/34WcraioUGtrq7LZbEAaeJPa\n2lpVVVVpdHQ0jIPH9Bx+ryUlhR47AwMDibQ7k0unvt7eXg0MDKinpyeEaWNjY8pms+H+QGeQvG4M\n5zJIDq+np6dDiMlW1PBAqVQqbFqZy+XCOi/m0b2sk/DV1dVqbW0N3EJtba0effTRBNpyBWAtFqGk\nGwjmory8XL/97W+DIfAMH0q0YMECTU1NaXh4WK2trQkF6ejokFTsHolBRMmrqqrU2NgY5hTnFC8d\ncpSAokpFopmxxXAyp6B6r8YuKSkJmxowH77NEfeLvCM/vBd3WmQOCK2cB8RYc644YuHcHroxPzyv\nP5NTJy85RMSDMGlScq9uDibL33fUlMvlwq6sKJ97Mo9hY6PmBLgXh9EeBFTE51m2wf/OizDQfL+7\nuzsYm1QqFQjXpqYmdXV1JZ4FzsJ3dsVA8Az0M2Ls2JqIdVVS0QuNjY2pu7tbXV1d6uvrU39/f9hP\nHaOBInMNb/6Vy+USzdEQUopAGZOZmZnA14yOjqq0tDSQ1tQFeZiGp+W6NJ9btWpVOH97e7seffRR\nLVu2LKAx1p2RSaSP0exsYZ+v4eHh0HxOKhjRf/qnf5KkhCFzuQPhYhAee+wxDQ4OBmOB0fMyEEcV\n7AgSczygIZczDAZz6yUqGDFJid7aGG4P0wm7SYxgFHz1v8ukE9vIaDqdDotbnfdkrDBK/r9ztTF1\nMjU1FWTQnTLjnkoV682cI53rmLee1R4/8ppUXH7BBPMAbpB8cOL3nUgDLTFJfB/P6SvipaK36uvr\nS1Rjs7sG9wcH40so8vnCJn6EMpyPnTHq6uoSqMZJdO4H5RocHAz1RGVlZWH/NBfgXK6wVIGWGU7w\ne0aMsIhwb2RkJOHJWf/kwltaWuhcCP+Ah+7r6wv1VfAQGCsMNyEdGSlCOF+BTunAxo0bQ7UyMtDY\n2KgvfelL+vCHPxyWsnjo7HwXTgzDkMlkdOmll4bzMQcxKstkMkG5h4aG9Pjjj2vhwoV66qmnQohH\nOQZhCtxbdXV1KKJ0w8UcIs/+HnPjSROpWBSJLEPsYlDQDzZWRH5RbJd5X3Dsle+x04OzAsH7+zE/\nyz3gKGLO1jPM3BfP5eOGkXqxrNm8NUbzw+EbAsaEekjmwufGzJXQPYJU5KMcLXn6NoakZWWFjeWa\nmprCpnpcD0F2SMw5IQuHh4dDmEdqGN7Eq7yZNDdIoDLS1YQRFPfheSmE84rcXC6njo6OhLC4EszO\nzoZ0u4eLeF4MrWddMLQoJiQ+ng4j7Gl7/y4kKgbRQ8b169cH5aCeqry8XEuWLNHWrVt100036dOf\n/rSef/555fOFZTdk/HK5XAivGhoaJEn19fW67LLL9Oyzz6qkpFDZLhWUZc+ePdq+fbu2bNminTt3\nqqenJ9GC5M4779TQ0JBaW1u1bNkydXV1JTKgPGs6nQ5LfTx5gEzikJhTRxI4WAy/h+MgYuSVEIyw\nGQPimUN0BZ3wxILLaWz8YgTP55BlP9zYOQDgO+gZPJMnknB8jkJf7Jj3nV49k0Do4+GA8zcednF4\nvQhw01PxnN+NXHxdzuthGqSitw3l4DwYFZR4aGgonMdJ7XQ6HTJuPL97aj5DLZKPU2Njo9rb28O1\nHIojlIRWTU1NGhgYCEjPn09KrkRHiPmsF+X5mPjhQshz4jAYE4QcpMSz0+w+n8/r6KOP1rHHHhsU\nG6dRUlKipUuXauvWrfrd736nBx98UL/85S+D4ZiaKmy1DcKcnJzU6tWrNT4+riVLlqihoSEx9mvX\nrpWkQObW1dUFPqiqqirUaVG3VF9fHyrVnV8iPIYKAH34GkE4EFCRZ3CZN+eqXDE5r4dRbqh8kWqM\nmpyvyeeLGVKOONTyhA6fo9iVe3En73rohZM8qzt47ieVSoUssy+w9lKC+JjXntVukGKuyC25s/Du\n5f08CA6HZ7FQOgaFz8UK5yGdx9UejpF1khTqSnzpBxDdyT2ey6+JYeGaKDWfKy0tDav9HR1KBaGi\nDSqTLRXTvRjd+JpHMiw4AY7TTjtN7e3tISR0CO/f8znJ5YoVuo5+ent7E3OSy+X02te+Vj09PZKU\nUJrS0lI1NDQEY1xeXq4LL7xQixcv1ute9zqdfvrpamlpUWtrqyTpkUce0fXXX6/HH39cNTU1mpmZ\n0cKFC0N3x/r6+hAq0sEQdMqcwWG0tbWprKzQZgUjgjGlDIMxoMaKccXIYFwIWUDJ7gi85scNCLKG\nISsrKwuomBAROULWpqeLDeu4Bi2KnSd1ZOZpe59D3nfD4w47Tmj4EhNqrggRGbuYJH/JGSI3QpIC\n+ctDu8Fxg8DguPWOjRIPiyIwiFhlPu+EH6EBmaSSkhJ1d3eH9qRuKFyY3MAhOHg2vDfFfEy43y+K\nyb0zkZz3qKOO0jPPPBO4EQrjIMX5HMITn9tRl0PpeByZA/6vqKjQ4sWLtWjRIjU1NSmXy2lwcFDd\n3d0aGBhIZGqkJMIF1Toy8bV6kvTjH/9Yf/u3f6vDhw9renpau3btUnt7e+BBcCKMV1dXl773ve/p\n9ttvD8qHwQeZNDY2hud0gpfP1dfXByVmnklyLFy4MKAMOBRIcYzL9PR0YtttwjIO5hIlrq6uDo7G\nCWrCFc4Bf+ZZW/5nQTOGxY3OXOG3pPA+fJ0jYk+GgFSRCQ8DY8TOdUC7zClGh/d8/mmhAw8JSjzS\nceRORf+LR0VFRd6tsEM6JtezRkySNHdTfB4Q5cOjecgDNHQDhAEERfhiydnZWS1dulSjo6MaHh4O\nE1hWVpYIJ0gje28e9zKeIvXsnZN3TDZ1KiC31atXa+/evUGBybpUVVWppaUlZMOo68Fre4bCFdOR\n2FwoKZVKaf369aFLoYe7hLnV1dV66KGHEn2dmQfnGOYydO44nGObi6Nw5eJ/lJ/sD+PBXnMoA2vi\nUqlUSHvTO4q0PfPa0NCgxsbGkBGksp37Iwvkq+fZLcRX0fOeI3GMEkYOA8qzOUJAmZ0UZt2bZ6Jw\nXBh3jCrjjSGiwp7v8rfTH3zeKQnmxh0B489v9A0imnnyViWeAeSZ0um0nnzyyTltzrzta4bQOAqS\nir1uvNAPY8QEe80R33M4KRUNHAIFXOZ8PvHAbATQY+DR0dHQuwgupqamJhTx4d0gpt1jIXROVsb3\nzd+8h+Cxs6iHTBhZwhCekxCCcfVn9HtwJXCY7Ubp2GOP1b59+0KBJHtmjY2NBb7sSCHf/w2n5Iba\n33fj5AYaZS0pKRaXUjVcUVERSGk/Z5xZpfoc5S8vL1dHR4fKy8vV2NgY+B+uQR2ZLyQGYeDQjj32\nWB08eDBx/8yPh/TMA+fAKICS3VG6gcL4MQ4ouafGMc7O8YDmQNFx+OXkMruVxJlIH0ePTDzDF6Mn\nb73LPPu4uuOd65jXDRZjA+MCzm8mEZQiFUMCj1s97PGHjpHPXHF5LAhSoWq0r68vEbo5/0MoxOBj\nkAjdvDYpfu6Ya3F0yLFy5Urt3r07gZa4f8rqgdZezh8bA15jfHyc41AtlUrphz/8YeKeeEbu3ZUg\nNqrxs3FwPX++OMTmNUfHPm6eoUmlUlq4cGGoOvbSDJASRoweU/A64+PjoXFdc3NzYnxRKFdAwha4\nIz7b3Nysffv2hXCNsfJzuZyjuCinyx3fjfWB80KEY6A8PELu3KGyltFLCHC6jJNnDUG9XovkDtmJ\nd+4VvYwLHB3ROcJzIzbXMe+tYj0UwovECuveTCpOmqSEgngIwvf47bExk+xeMy5Em50tNOkiRc7K\naWJfOAaH2wgxHsoVHu4hvn+eQSqiOp4d0pbQsaqqKnR9lIqr6BEchNURjxsGlIKMoGd1YkN2JB6J\n5/H3+DtOE8ffj5/bz8n77oEdGSEz09PToaHczMxMosSA8GiZg8oAABdjSURBVJHnq6urCwrrnM3I\nyIgWLlyompqaRFYH5OfOzwtNuQbhG44A2eRcKKQbE2QFnsXl32XIFdmTNJ6hJQQkW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load and display the image\n", "im = cv2.imread('../data/template-matching/wayne-rooney.jpg')\n", "im_gray = cv2.cvtColor(im, cv2.COLOR_RGB2GRAY)\n", "imshow2(\"Image\", im_gray)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Create the integral image using OpenCV\n", "int_im = cv2.integral(im_gray)\n", "# TODO -- Write own implementation\n", "# Box Filtering using integral image\n", "int_im = np.zeros(im_gray.shape, np.int64)\n", "filter_size = 25\n", "for i in range(1, int_im.shape[0]):\n", " for j in range(1, int_im.shape[1]):\n", " int_im[i][j] = im_gray[i][j] + int_im[i-1][j] + int_im[i][j-1] - int_im[i-1][j-1]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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X/aHyTQDRIVH71wxIM4+IvhX22SHfAF+vJmYAM+JlrKIKnmYuG2eIxDh8itot\nrPLyxXyM7zDoy4WBvi5HQKXBp0cpuMJajKiKfaguLSFTye7l8QyAso+Al4BAJubuaKv8WZ8jyHic\nyIHHWVdLP5lLNlYyJjSVxY2VkwaiMco7hlIqMHotkCKY+HvJtMOinvbW9WQqZEruMlB0P90kAc96\nve5eaijgIBip/oxfZa89JhAJ0JSmgIiulqz+xcVF94LAq6ur2O123UsDOQO4b/tWbIii+pGNyj3m\nG1F8CYXKpW93eT1OpLwyg+FldiaTsSGPE1VMp5qMaP1XWXn+S4DRSQNRS/ZVRDXr0gKjiGFQHANa\n7IB0B/g2Drlmy+WyBz4axEynxYhUZg0KZyliHuv1uvstEKAl9716+KoibXmhvMSGlB7zcTYkRiGG\nRrCt2mBqm7fiRhHP8S8ZAIGRv5qJG5uRATHdaumEyk2j4QDLPkZQIaCRDTl7zXRGEKr6Zev4mBjR\nMeVNAtGhStGAdYvRApMxgFQFjzNxl8ffR6Y3fWYdu5rR8bzVgblyWMCjj2IyzlqkG7I2B6nFYtHt\n6+yxIQKfsyE+MOrgUw0s1+mQJR8Subw0Atp/iK9mUpv4a4307YzIgYS/PXDNZRfSdUR04J6BkMeb\nMvCu4jZZ3KiSLw1GbxKIjiWyTpRjumNDaWUgQlbDFbrqfBpAvg4nm2J2Op8NjAzofI0RB0E2XVzl\nSXdQgWoyAsanzs/Pe0DHQVrV4xAhENEt00eAJEZUAX4GLF5G6sJjPbqfs5JKw1mP55W5cmNcr2PI\nsYHpTQHRPhUfYimZqzbEjKY0bsWkOFgZRNag9DjQdrvttplgvIazOz5YKpfNZ8TkIrKMevrblw94\nuRhYbQXNCXZkc9nSAM4aZYNtilRTzMpToMNN8/mfi01bQeaKqVWrtbfbbW8W0dcPkQlVAO0GoQVC\nh+iQ92UzaceQNwNEr0kLvePr2LHAKLvHF72RcQiMfKN0pSPXjQsCq2l9LydZU+tDwPE1Nv7YCV1d\nxr0eHh460OTCTN+OlXs973a7LmbkYJYNviGpQIgxr+xV0YoZcbMz6o+6bcVa1KY+GcB4HMup2UPG\ngzJXjgCvY573ofIlYkOSkwai11BCa6A6WLTiQmOD2JmwA5EVOBj4YCdAcVo5Y0MZTfeFkWIFYlsE\nYcYrhl4LHfFyRTV1o7TJ5rgd67t377q6bDabFwDkrsyhwriX3C9/P5xcNH+0JuuTVeA5Cy7z//39\nfVcff6FTDvCEAAAgAElEQVSju3LUbxaPooxlRvvIa4HTSQNRSw4BglY6DKLymhY7GlsOj6PwHoKD\nr22hK6XBnG2h6mVxYDk/f3qDxnK57I4rHy4grPbg8dk9zprpcQ8yJgGX9ph2JkIwovvJNnDX5lAg\nIsAzJpRN3XtsKGOccqU83liBKRd96jj7l65n4N8f56gA339n/6fKl2JFbwaIKmUcy2d1sMk6Viv9\nKYBUBZA9dqJBq2OKw3hMyEHIWR0fCWF8R2DBju5TwgIPriVS7OT6+roXI/LBwx0PVW6uQ9LAv76+\njt1uF5vN5sUCSaZ7KCOibn2tULV2yHXXmlwgo2G7ZoFmAgsnJaRLZ0RVnGkKCL1W4PoYcvJANAWN\nD53xysDI40YR46fwq+tIrz0OoDQIFBoQZCkeG1J+SsefR/NHMsRcfAYmW1nNRx18uYGvI/L9fLhN\nBcHVVy7LTfFZIy4FkJ5aMZmh/sJ6ZEsm+Lyfx8AcjGQYGOgnOPgjNNk+Qt63vI9kAWv/fAty0kDU\n8seHXKUhUafNgrnOKBSIzfLYB5TcMnocxONHfF3xbvc81cv4RaWXijH5LAzL5oyIM2diExys0plb\na07fS3RPFt+i1c9Y1RjXrAVGdEX9AWMHJAchBu+zPPUhSDEe5ADt7I7tJF16PMj7TKvvvSU2FPEG\ngSg7t4+SPfg4FKRurcgeU4YsfkPWkD3kyXiGC0GIg0Pp+lQ7B5SXy3Xpg535MFjuG7ZlAdXqsREC\nqNiUFj/6YsjsSfyxQoPjbhmBh4DEJRGuKzK2Vv/0JRk+U6ZP5vI546lmyQ4NQld9+WvISQNRRFs5\nU1ymMfkMgQwHTqsRx7AkdlQ+GKq3hjIPTuWzHBm4ZIxGcR5fp8MguEQgpIHGc7qXYETXkPEigdDZ\n2Vn3nbUXr82eT/OHcveNEREAGe/ibKAvh8jaLftNNqd6edyNAES2I0ZJg+EMKGNFzMvlrbGhiBMH\noiGEztyoiP0VX8WYKkDisawcQ2VhJ+WjEL7mRDGfLE4R0X9EgFbUg6Ase7XuiBafi+wIWgSorI0y\nl0ZT+K4vBeG51obfBKIhdyQTMhfG3TwWpOPZoxyejrd1BbDZTFfGbvxeBzK6alWgeqoceu+x2dOb\nBqIxneOQPMewHnfx3GJX4KiOxDjIer3uprvv7+9jtVp1rEPWU6zDXQTVWRZ1sVh0U8OLxaJbXBgR\nXeCbZc8AlcFj5UnXwIHROyhZiAdaafkZlOZuAAQh3+GxJdlAUVl8G14uzvTdBKQ/D0ZX7Nnzddeq\n+uhaj63RUPk6pIyVe/tl/728/P815U0CEUEg+817j+2uZWXzWFJEDUi6XgORMSI9rb5arXqPPOx2\nu252yR+10ADzgK/Ai4AhMMoYTStmJmGdOHCquAmZgceeOJB876LMJduXEbFdBDxcp8X1WP4wrvSh\nNnCWWcVoWjokOGUAxT5RLYRU+Y7lgn1tEIp4o0AkUcdvxYqGwGxqGVquG89zcLZiT9vtthuIFxcX\nHQj5/jcKojKGQbdHeXJxHdmRRHsA6frM1WNdMosuYRl0vcetfNB5TGWxWKTvEctAqIoPeftnImZD\nFywDIY/3SJcEo0pPY/qUs0/qWCBDt5QfxtM8vzHsqCrPVHkN4HpTQOTsx79531Aj7AtQQ/GfVjwp\nmypnfGS9Xr8IWsoa3t/f9+IaHEAaZJ6uu07KXx3ey82y+lPfvtTA71M7cGbNg+gRkQ52jwdljzdw\n1m3IGGTnfMlD9jCvdJlNrTP/TKiriJcr89muvJ4sSOe4XMF1wfTHgt8hUhmoH1SMKAu2RkQKQhkA\n8P9YqRQ/dG2L9Uic9qsjCYicTbAT3tzc9AapHhBV/Ss9ZRZcT9Z7zMbLzcAqYxVkKJ4GA7/Vg7tu\nyTkT5GuRxgZmhwaHAySBnCvVXS9iQwLmLPYkycChMqa73a5zlZ3pOCt0PWSu4T5yCi6Z5M0AkbsY\nFSM6FiBRxqRRXZNZ8Gzdj8BBwnUnWadk/bJ1RkqbA8pdNAaS/Zkqdxl8tbRYDMvDYPDj42MPjKoy\nRsSLgcYBd4wZoohI3TBfqMk2FPCcn5937m5lbDKDlIGRx4OqticoUwdV+q8lFVD9oF0zsonMymQA\nNNVdm1Ie5l1dMxYM1fEpGvwM4NJdoqtTLfTzWIQHi/WtQebumechIUNiuRaLpx0bCR56Op+uI9vC\nLf1rgJC7jBUY0X1l/mRLbF93fV23/J8xTOnQ08tAWemMMYpvkSm9GSCSZLMWzohaYMT7jlXGlus2\nNn9aR/6+uLjoxUiYFtfFcEbM82Me7m5kCxY9n4jnKX+JyscV4T6QmS5n8AhKmduRsYB924yMZwiE\nlBdnAjlLxfiWdJMF/FsGh0DksSGCIdPkjJ+vlnc3d1+ZAj5DbvA+8qaAqFKAW4oWGFXHjlXOiiG1\n4ga8l5ZQQOOumAazVjdrsPiAzX4rXX4TQOhuUE/89iAyp5Uz18HdPpYpc1X8kwXXXcYEq30QZ2CU\nGTmtJ/J4m4yiLw51Zsd6+bN41Mvj42Nv2Ya/4iib8XOGvI9MBZUfrGuWAY1+67oW2FRg8Bp+9pRY\nUeten6GSReTbMbShfeWaVaCdgRG/fUC6FWesSG/o4NSzz/Z4nMmfT/NVxD5wh1ySoYEh4CbwcLre\nmSAHdzbz53r0dV1eX68jAVz50xD4CnC55tfX17FarbqZ081m0+l83758KgHrNwFELuqYakCyoCE2\n9KWkAscpovurjpzFjMYMysyVcMbD33wMRQsu9b1arTr3LOKJJTw8PHTuIkGS7aP3tvn2Fh4foYuW\ntXFVR9bVp+h92p5AJHBRPs4U2S4qh7tSSoePq/g2sf6oBhma8iWL1X3r9brbxG2z2XRgOZUVnQoA\nSU4aiCLGzYJ5B50SM3pNoJoak2oBb8ZQ3PJWndEHSRUHiohe8NQHE0Ho06dP8enTpy6YrqAu1zW5\nK8MySJw1ZWyi0tVYvVar0T3Gw3qTCUW8ZOLKu4oRcXaRD/KSQcoVUzpcSsA0xZDFigRE6/U6DWpX\ncqgL9hqxIclJA9EY94pxjn3A6EvVQ7JPY2axhiqeEtEPrLr4wMlmg/x6PbDKt8/ynFyDxaK/jijb\nV5t1EpPKtkT19UpT2ZB+EyAcfHyXywzwW+2h3w5m2+32xVYmDka+v5K7ZL7Fi4zCZrOJu7u7uLm5\nidVqla7pUno+Vloypk++Jos6aSCKqBkRj2X3jOm0X0Najdk6VwGQBq13bJ9ddJesxZAkDMbyGTVa\nb7lgzGPo0Qm5byo3V1Vn4FSx2NZgI+g5A3J3LIsDOZvL2oOuG/XteyrxZZZ6861eJaTlDmRY3HBO\n6QqEVqtVb3N/sVEGvl1XxwCh15aTBqIhRuTXtYDnS4LSFJdsbCfQIM5iDf5sVsSTy8PFimRVU/Ik\nc9rtdt1MXcSzO5GBBRlHxMuXNEZE75XUXCtVbRS3j/4qNyxzyTwYPcQqCFqMKXHBZwZIm82mN0Gg\ne7n4k/kqzfV63dvnW0Fr9oGpcclTAKGIEweiiHGD+pSYj7sGETmbG7rXpZqJyZ5Ud9bjAe0MjDKW\nwftcvz64W4sqCaJ0X9xdyZ7AJzNR2TjLlAndzdYnW0PkwNSqk+ehemUglMWIBOhV2cSYFEvyrUv4\nW3UZYnKnKicNRGMBZipIfWng2tcdozAgmcVS/I0ZGaBIuL+OznMw8j5nMiyDrqtASAsmyYIUPxEQ\niSFoHyIfrNXAqtrQg8xkZxrgZGrZAsEqbdenGxrpK9tFwD9ePraZs1gvJ19C4A/xTpFjsaFjjKWT\nBqLXktcCobENW12XHXfAyNbmuHvGQaZvf9YrY0QORll+DkIVoEXkr9dRbCWbTRIo6dOaune3qqVP\nZy2SamYsY0LZf5ZD57OdJd2dlg5YtojoGK5Ak0aGyxwESIrR3d/f9x7c/ZKs6Fhj6ZsCopYV2+f6\nLH5wiBWZAkB+jrESd9F8vQrjOXJldrtdD4weHh7SN4C4KzekP3dFPSaTBa7JHLT9iQNRFfMYK9lA\nd/ZByZY/TO077pZlG72pzTxArvtWq1WnVwEY42hc4OlT/tRvK1Y6Rm9jdHBM+SaA6BjKGgtiQ8HL\nrKGnAlArjcxtEiipw3Ppv1Yy87+DVDbVr/9cD6RgLOMrCorTheAjClzJLJDjTA8DufzOnq9j2cYM\ntAp0qD8ytQwghvoWy8L28IC171hwfn7e/d9sNj0WJPda15I9SidyN7lUQumpblOl6ndfAoxOGoj2\nVcKQf+/X7KvoCngkhwAQrTinzH1K3GMLpPfq8Io5qONy8aGvNObAzVwXfdM1pGSPUShdzvo5m8tm\n0IYse8sosDyqh5eb+YstSt9D6WY64Qr0bB0RZ8yk+9Vq1emGLlbES+bLdUOLxfOaLW29ogefCYxT\nZKg/v6acNBBVQrdBys4AZmxaX0rGAlMGQn6dB059gAl8xFgYNNbaFf0mY4mIHqNxgCLoeQyJkj06\noeuz6WwPWrcC1UP6rM4z7sVVz9oZUwPcVza3XDrqn8xFa4a4hkh5aRaMoPfw8BCr1eqF+8r1Y3Jj\nFewmGCl4LaDbhxW1+udrj5M3BUSVhRxiOS02dIwyHTNu5CCUDYDKPdMA41Su6D4ZlSyy2JGsKGM8\nSts7IUFIg4/tojS40E//uR6Gs2T6rUE2BoSGdMqArrMij1GtVquI6G8Wx8dVfGaNM2wCNsVy9Pwd\nf/OxGLpOSkdMJtucTb/JKKVLslwCkuJImYGo9LWPHHMcnTQQjaXFY36PiQExWDulXGPAaEzsyN0i\nt8TZYOJAcDBiOhHRWVt1egGUtp2l+CybwIkDJevkBKRsoZ8v8MsCu1WQeqpldvCmrhQQX6/XnStU\nBX8vLy977JTT6zICYkF3d3dxd3cXnz596r4/ffrUPRxMl1NPz9M1jOivoqf+CfDqE3rEhqzIZzmP\nIZnuj8mUThqIqkrSNdsXjMb8HirXMf3pCoRohSmk7WQbCnRmC9wEPHLX+NClu3oR0Yub8NsHiQfS\n/TcHv7MGnxEas5p6jGTMRiJWIQBUGR2otV5HM4wen9N9Skfgc3d3Fx8/foyPHz92YMQgPCcYnMHS\nwJClMvCv/MVkZUi4hon7VFVB/0PlB8mIWpXm4MlYjh8/RqBa945hR0NsiL8rEHJGlAVdNfgiovcq\nY8+XA46bt3vMbbvddg+6MqCdMSHGj3S/fpMxcHDy2Ss+xV8B0VimmsV0yIYUy9FA1vEKiOj6EAxU\nVrl3BCDV8+PHjz02RADiEoqI6AEU+4MvYLy6uorFYtExNbqJ7Bdqu33iRV9aThqIMhkCpNbvKQBU\nuQbZdWNcyCHA8pgQwacVLKZF5cBTfMfZjGISmj5m4No7saxq9jR4pa/Mqiv+Izfl7u7uBQiNWTs0\n5Ap4nMt1orKI5azX6x6T8DVPAh5/NTWD/1z/Q0ZEF02xIYFgxJObfH9/39MnXaqIPqsTkPiyC4ER\n9e8zkzx3TPnBuGaSDEh8tiy7vrq3Yk1jy7EPIA2d91gQB5NYDu/n9Lc6M2NGtNy81wcqZ5B8Nmm5\nXHbWONvf2etH68tAt1wyDk6fVRIQtdyyse3EOvLtuO6eKc7DYD4ZkYDHYzBkRNLVp0+f4uPHjz2w\nJSNykGU7U1h/uc+qg/YvV19ibEvi7dmKE50SSzppIBrqkJkbcOx4UJX/mPjQmOvcjXCg8Gl1llsP\nkTIwLJbksQzlpXTUkbkoTkFTsSG5L1V8xMvkcTuVS27Zz372sxKEuPJ4X6He3I1i/RlTExBRH2JH\nAiKxKLlXcnvFpMT2Pn78GD/72c967qc2jxM4cDaR7Z/1CQmXSBCoWF+yHrp+jLl5TJUAVoU2vpSc\nNBBl0mIzLRA6VlyIaUwNVk8BJv3mMZ+xkpsV0Q9eZ26UAxIHHsGIG3P5m1Fphb2MrKNEboQGqhgC\nZ5KyxxcyXYxpM9YrYzZkl3RhMiZK14y6UZwm4jlQLbYnAOJHYMtAvCSbGVU9eM6fJ6SevJ3FlK+v\nr3sM078z3Q3p+ZiumMubASJH8ypA3QKhMQzLg3+SzHLxft3Db57zvCormA1wujx0JwQQci1E3X39\nSyYcfBxsHh9xEMrKl+WhdAVEjBFxalsL/ThAW3mwjbw+rIsAI3vzrK8D8n6h9DMgWq/X3fYdAiLF\nh8SK5I5xvVQ2GyhjwvLr25mLL9Gg0fGFo8vl8gVwMe+W+0s3f4wcC5xOGoiqjtJav+L/KxCqFJ3l\nx+NupVvgFNFvqAyQ/Lj+t2IILIMsoABJsQ+fes904C6gPxvWevwjK29E3+1Tp9Zg1dR9xoZUr8xl\nqfJ0t4szXdymlgyPdXF30tteweQM0CL6jIhgRJfTlyR4f2QdaWhURhkZByNNNCgdxcOUdgZalYs2\nRV6LFZ00EE2VCnzcCh0jDwejjA3xvN/rbgQBgYPF/Xj/ZAHXxWLR25coK79E6WfAMwRCzuJ4PZ+Z\n4ipqPurga2vI5Px5uipf5k02RzbjM32uQzIEHlNeirkpXiSdc3V2Fngfs0Kc/aZqY+XFWTqxX26+\nv9vtXixoZDmmgFG1TCOTqSGKTE4aiDJXrGXBeM9rgBDzaCk/Ayv9J9tx5pE9VlDVS7+5WE1WU7+d\nVVQ6I4vJgEW/+e33ZyCkQZJtmcpV1Ip5uB5cH7T+DlC8T25UpmPqzvXBAe/uixingIgDnc+Y+ZYf\n1WB3t9P7hjNvZzkZ0Kl+WuDIKXwHJAfgqoyvwX4yOWkgiqhdJb9mSFquGKViENnxoWP8752MwdNs\n1SzzzIDNB1ClpyytofiAD3JnH36ND3i6MQJH333R17pEPLeRsxqBpJeT/+lCKV+Jsz3Xq+swY0oC\nAKXrCxMFRnwWrGqPzC2r3NCKFXFRpvqS+pdcNDIjByHWq5IKiF4DoE4aiLyjRIwHlLHpjj035HJV\ncSP9dxbEgZO5RRHPDZ7FF/hAZGbhWI+qc1PG0OsKnDzOxMWQWoyXAY6ny/R8L2bO1klXZEiMBWmR\nn+pKl5XxIXelM5bEwasZNh33tVdZPCgzIg46FSCxjCwDGY6+6aLRTcsYlPeprM9IlFbWX44JRicP\nRJmiprplGaAdQxRcVLre2VpuWAZC7hqpsRmTUL5yFXRd1bFcT2N04UCRgVpWt+y9Zyy/2JHX0WNi\n0o/rjCDFaXj95+pnlVssJnN3W4bFAZ6LNJVvNZPlunP9sX0ccKpjKgfz4rovxsIWi0XXFlk5HTD1\nnYUC2NaZATnWeDppIIoYDz5j0jhGWZw5CIx8gLbiQD41zlhIxkzYQc/OznoL47jC3H/7gBpjAZkf\n/7NuEfECOHSMDEgLARnz0DXcxIvnCSiZS3V2dtatbpZwpowgpQWfXnbXAfXmOiDAME+vD9kZPz7Q\n+Z31KWdjZCQEDgXQychUDrr/msoXIHlfYD/KDI4bFvY5XneonDQQVSDUAqPWIDsGIHnH4SCi1a0C\n0b6IkJ3WFwu6e8COrA6YAaMPOi9/BkrZ+Wy2KXNtXP/q9AIW3aeynZ+fdw9ucnZG5+hmUZdkXoyD\ncJdCARHZS6uOHIgcrBrsZDkEm4jolY9sj3moXlkbVkLjxnIqD7U9Z/HUnzjdL91fX1/3AMwZ0Waz\nKcdNxnoqd+0QOXkgylyN6lyVhuRYVJLshJ8hAJKVckAaClJn7gHZke4RQGVU2ul3Bt4ei+JgVn4S\nZzmVVee9Al4OFu/Uep7r6urqhUumNLi6WUDEtUPKg6xmSl+iuDui8shoMA0+90dRm5DZZuLH2Q5K\nR20u0CEg+Sp4Ba7Zf6SLLHjtgWsCaXasAvp95M0AETtExYgyUDomakvUEfXtMQ3GMTL3LDvvg5n1\nFyBwEHvsQx1LAETrTKlmczL3pFX/6uPnxWAEOFwRTvai/AkqGRDx3ojnfYScjWrA69NigVn99E3G\nRpcnMxwOBBKuHPcpd28j1yVFfUEumYBIIKRv9ieVV7rnh+6edOKPjyhfL2927BA5aSCKqF2J1wCY\nMeIglC2gy9gQLWnGhjJLSktGQPJvxl00cOgKkU0RpNgJmZ53xCzuRT1kwWCCEKfTvRx6up3bY2Sr\nmDmo6MayPwiUxroNrWsIBhkYsa58CJZLDnit3GgaDXf1MlBiWTO3lzEibmVCQ8XAPt3PCpDc6B8r\nDtSSkwaiKW7XlwCmFgjJlfAVvbSQ/FbnZSfMYkMekyEgkB3xXroCGkTsfLSoDkZKT2k5AJGZuDvq\n4MsHRTkYOKC0HkYA4rEz6ca/Wd7MRaxcSjI/d9WdHTAvT1t1pW52u90LQ3R2dtatLxIgKfZEPU8R\n15+MkNqVcSOCUeam0TAQhBi3Y77UyzHl5IGo+vAav+c1JAMSgpBiG2p8uhYeB+LAqfKKeLnFhkCF\nsaIWSyLzoWuk/3KLPAala71M7iZlICXWwil1MhtnMNqqlbEuZ5EVGDiQSzJGRJdN/7Nr3I3LrpOw\nvjQkdNEuLi66jdEESnKjyFYrAGT+mZtO8Dk/P4/NZtPrc5oUoIvG9UXV4x9sK++XrzHGTh6IPFjI\nc/tIq2O1hJ3Orb0+Pu1MNuQDaGxZ/T/jFrRsKp8Dik/b6hhjM24R+d/zdiZEYCUoCZj5wClFZVGe\nBBl3XVWOKhbUMkzONDnAXdzQ+bWsZ7UyXunItVyv13FxcdGxPv2WnsiQvB7eV+k6se3FhgRGZER6\nOFb6Up/N3HW2ux5ErnR6bDlpIJJUQcZ940VjwIid0QOlDkLL5bK3jiWj50zXrXcVQGZ5vezOethx\nvXNxwCsvjw34rIp/3P2pPgQR1wOZntySLE7mLqDqxd/M092JMTp1yViJt0ErcE53O+I5KM1N5s7P\nn16oqO1E6HZX/dsZET90temiqWxkR2KkMhIEsWy7EHfZx/TNQ+RNABGl1VmOLYwFVK7YcrnsAImP\nJXBmhRbZYxLKR+czyY6TPQhoCEyMWxBcPEbjQCT6zpksgjLrUwVZvU5kPQQbj7Uob8Y0mIfiSJxh\n80HM2amxfaUFPv6bYE+9OPsVAxQQcdfH1Wr1om9ERHO/buqSLhqfgeP+5WRFbkRUjuwREGdGrWfR\njiknDURfEnRcOEg8KJ2BEONDtPJel8qVqFhaC4T8Pnfb1GEZC3LQabllUxhnBabOxPxazka1AsIR\n0ZVX1xMYM7bQEnc7K33ymAb/YtHfZoUsxIPYBCKvo4SzV2PAiHEigYVP6avf0g2kiyZW9PDw0NtI\nzaf3qzF4bPfs5IHotWTIPSP95mK5y8vLFwAkNkQm4u7X0G/l6QOoVU7vDGQbDgAcnFmsoTpWuTiZ\n68ZzdPVkVcncnKE5i3P2JUPA9NhOzogy/VYy5BZzMHKdjd4Cojp5HE19grFD7x+uc7lXWRnplkq3\n/pv9Vr8FRmJqBHmxIhlXf7OLAK6ln2PISQPRMSQb3JJskJPGDjEhvmvKGVBE3sE5CLNgpMsUNuLB\nVeaVfQhADh7KO2NHmduWMSGBhuIj/Og803JXhTpztpTVX/l6ebP/Ld16+pn7J9DQeWejvrjRY0gU\nD1izX5CFsdwESE5YSOdiYCqXv3gzInps32fStMarYkVVW+wrbwKIvpR75n40G4lMiOyIC9iyMk+x\n0EMsbQoo+f8MKCrW5N9kRX7c68iZI9F9XUNry2sy1zKrV9XpK/bp4qDvn+oe1p8MSIAtsKBrJuEx\nbk/CtOWOZSwyqxPdM8aK3F1Vv6QbKYbWMrh89xvbu9L5MeRNAFEmU8BprHtDEBK15ipfByBfTh8R\nvQGalVUdZ2wdsphF696plitjSRUwsX5+HVkBdaHOTLDmTJ6Xl0DWCoK39FTVLQOeFgh5Oqyz6hoR\n6auX1GdUNg8cs8wen/EFj64PMiLpsmJFBCAvs/St1e0CH7lo1UO/3g7HAKWTBqKsY7WuaYHNUGer\nQMjjQg5Cvn5kSFquYiWVCykZwwJabg0HJeMtHHz6MEDKByjpDupeMh7FG5gPXUkfLF6GKTqqwGVM\nf/JznD3ic2JiIcqXM1V8bIWumc4tl8tukGtbWX0U2HZWpLL4lD8Bi2DEd94502fcTW3mK+LFjLi9\nSKbzY8lJA1HE/muFKEMdOQMhsp/s1TRZUDpjQ2PKPrZuFZOawrBa6Waxlmr1NRdEcoByDZDScdeN\nsTTmzcBzxojczXUmVwnP+/UOWhVD9EdiNMDv7+9jt9v1nn5nTIz9hKAg9rFcLru36upFAtzH21mY\nyih9yLARGF2nnNbfbDbdNQyK67z3c7pnBMYfFCOaItUg3AeEuHqaMSGdY6diPmNofiZDjK3FYqrf\n1b2ZeJCdAVKdJxvyWTWCEul/xtqoo4wJjXElWU4/5tdmjDkzbkyrNZOoeA71I0bENWR8Ej5z/xeL\nRReTub6+js1mEzc3N/Hw8NCtxmbfJeuhfllGuWX6dv26bvX4h8rly1UERDQ0Dnattpoibw6Ipgz0\nse4YwWhsTIiD1+MOh9bH3alMjtERHDAq90rMSL99No4Wk/Whjui+aRDSTeXam0on7n5xcPC6Vltk\n7pmDpLtlYkTcJcAHNx/e5YyVi/TogWIxIrpF/lCs68BjbWRG0r/KzX7OPkxXzQPrdBnd0A4ZjKny\n5oBoimSsxa2/WwJaAz6w6YFGphkxfvHlVFfTrWkljF1UaWeW2QeM189dFR3L6u2zS87WyDwJ/hH9\n58sodB8yEGnNLmV14HVZmynNzB31Z/bo3vjzXhzwzJM7S5JZaU0PwwB83iurozMiZz1kL5zC93an\nQVL/19qiDIjoJv4ggGisVWtd0xrIHIwOQB4XymJCmXXIYhtVeVp18esqC8vz7CTeYfmbHbFypbyM\nVSxl7HnmxSC/zlU65ixjJVW+rWuzawQ2BKDs0YeI590SHUwciJiX2oWsT3V3QygXj0yyqgNjRUrT\nQUisyNcTKX93kT1exPoL/I8JRicNREPS6nBDyskGBmNDfNYpYw4Zu8r8cJVzsehv3UrQqkCKFstd\ngQ8YJGsAACAASURBVEy40ja7zuviOmC5XGh5K2kNbtZFepWb4qxU5eKiOtdJC+yHjrf+08V014zr\nohQXo7jbrrZwNuGBfDJJ6sHr6YDGPsj0s1k0trc/bkJmSnDabre9xY4EYo8HHionD0RjXZ6pwkHI\np6d9BXDmLrBsU2I1HuPgd1U+B8ExbMuto445EPnAaXUqugGtgeyDU4NFLMBBh8dYLpXHXQGvX1aG\nquxDUoGP79mjMjBfAacGOevvLh5XWLsrqLpy1i1jRA5G7kIrXWdH+jBulMVKla7eT6eFqG5M+X2I\nnDwQvZb4QBQdJhtiR2DH4W9aOE+/Ykc+Q0PJAIr039OjcIDqN9eKeGejS+R5eB0oY6fR5RIQiBaL\n52eveMytMwdlq6MfaqRcz1Wd6LZJBxqwYj5iH/f39700fdaNr0MSQ1EsJnP3vXwZsHqsiOX0mTS2\nC11JCQ3FdrvtPXtG0JR880A0xfefIrQMFQNiUHWIkbDxveOww7ml9LqRVuveMYxI17N+ZBqsKzuZ\nW8DMQjrIuoX3bSO8rLKosszOMt1S65PFnIbatBqoFfvMrner79c7G2GQmG4Q9UUQ4t7SBAUuYqxc\n9azcyoOgTkCKeJ490zW+bQiNhY8NthlZkedxqJw0EL2WZAOz9U1xsOFxfnswuEWzCULqLOpc7BiV\nsAM6K5Ib4ADr/+lCeeBYeTNOwmfI6HaRxWTgrLyrOg25rC4tAGqlW12nOjs78rScMUmHXG292+26\nWAv1xjCA2BRZkcDI9a+8M5aUlY0G0gPNAhluG5IZIZVfBoUvxhwCzCly8kA01vcfigNkLgcZTwZA\nGXCoTK1BRFBQPnwkxK2+OgrpOZkUy+x1qQYY68h1UIyH+XvAWnVX+eR2qGOT8le6jniO97gbwOuo\nC34TaHWtx8FaADS1X7TcU3fNedwHOx9mlaERw+Dg1z3aZN+f8crq5CDPenqdub5IuvPn0lQuxuc4\nLuTmcwbtmKzopIFoH+vIeysF0d3JwMjdqCGKnPnLTJsLJQVKus+f11KHyVhRVU+WgyCnvPnSQt/O\nZLlcdtPOStuBUkFYlUmdlnGTrByulwqEXKcchGOZTAZGmWufzXTpPPuBM7tM965//ad7zfpkBo96\nlJ5b+1hXOvB1RMzfy0FAUrsQGDkGyOi50JHpfPNAdIi0QMhdsywONMYd0jetdpYHtxKh1ZGVYYPS\n0ihoq3yqMpGVOAgQCJfLZdzc3MRyuYzr6+u4vr7ugEivHXZWokHF+Ic6bqaP6j+ZUQvYGfz1geT6\n9nuzaziY/by3s3QucOXsEevQqrNAWqxBfYu/pUvG4Ha7XRcnImg4GDGvipVX7hmNm8qqGBHjQdnE\nAfuqvpXOMeTkgWiookMuWXY90d7/ewdRGTxuoO8MhCKe31iqQU/2wY4vv/vs7PlVM1n9W64ZYxSS\nzNcXE7q+vo6bm5uuXE65fdqa4OPBdw6krKzUO+9z8dk+AtGQm1K1SQZkmU5p9WkA5I5mZWafcPZK\n0OY5j8Ew3d3ueZtYrah2nbLsXhfpUJMArhcCPNmMg5G75tSNQMgXOB4DjE4aiMbS8H3AyDuEf1wy\nV4GNwPS0Kpsu0fX1dW9LWXWyat0JAa6yfs7AHBSqWbIMgHk/aX7LLaE+qKMKbKo0WG/+98HYynvo\nf5UO60jGR8bAtuVMmYOfgyn1QIbkulca2SxkVk5nya06C3y4JIKGi8CkQDTjmG5AZNS4T7dvV7KP\nnDQQUfZlRpllzuIuOqcPLYmXwYOobjnUWAQhAZGeNYp4fj5JWzPsdrveeX+INGNEzNsHsse/PFie\n1Zv/M3GmUrlPnk7LldC1YgXO7nhddf+Qa+YfByDdxwGbsQPm23IxnQ3pP9kSwYqg4MH6qeJszd00\nginBljNoAmS1DfuPXP2hoPoUeTNANEaqjuHXOHh43CIbVBEvH+r0NNVQfN+Z3CDFZmRxNOgeHx/j\n6urqxQv47u/vexTd8/T/bvEXi0UXk8rYDS1h5v64W6TyaOZMZee3g8pu93L2LxMv95gBmLlamaHQ\ncWe0yovlcsAZ6k8ENR4ji83cK8adIvpbfDh4UjJjm4FOddxdSQJx5p65Htzdd3f9EHkzQHSoO8b7\nMgaQiXdsHfOO5bMK/IgJcYdHWRq3QEqfwFa9cdM7nMrITuGzdV43go9bZAKVgFHfmtXhdHOmF+p8\nSIbcrNY9FQPiwOZ1fm+VtrNiH+zZtfpfsT+CUcRzfxwqj09IVOl63divCEB0p8iKCEbuYmfMSHG1\nQ+XNAFEmh4JR61jmkrnLIfpKN4wzUj5DxW1F1Bn4qhd9ix3p290LruOg9XW9CPC8zKwXLaP+i/Vs\nNptYr9exXq+73wQjZ0Kej7s/LZev0vXYa1tuWPbJWEs2XU4wywZcNuh5XEaimi3MgC0i32hvqL+z\nPSsAYnkISup/GStqGd7WLOgUeVNAROXy2BQwygaHJGMc/C3G4ZaBa3R8RkrgJLDi9P1ut0tfMSOA\nE/XNZrHkn7vQgvnMn0BMAKJ6EIDEdAg8AiO5Z/4ktuvL9ZxR/IiXW3yMYStZu7QAyNmMyk2XPHNJ\ns3QyRuSsQ+Wp3JWKLTHvsUIgjRheX5axPMli0d8ihKzIr2P/9xnmfeWkgWhfxtNKrxocLhUoMR0C\nBrf9JAMS+Lj18IHiwMbyuYVTMFyLDJ0V+bdAxqfbxXxkHQVQAh1nQNk6F+rEv7PfQ5KBUGUUfLCN\nBSHPT/qrAM1nhTLXKHODvA3IMFwfrf7m4q5cBYSepgOdB6y5lMT7C/PWNydnDpWTBqKIHIz2iRdN\ncQkqy5GtoXEQ0nohPj6RNZbAgVPB7NAEOpWFi+WcNqtc/tFAYmcV6/HrdI6uGV0wuikcnJnVzH63\n2MCYdmF7VCCka/wc09A1HLDSk7tiVQCZeTIN1TkzENRBxfZa/Zhtld3rQOj1Vj08UC7mLVDig7k6\nz7qRFf1ggOg1ZIgF0Zr6Od3P57X4uMS7d+86IGq9ZpidmDNbiutwlkrulCyVOopbQoIY8xPoqV7q\ndJk+yIw8DsQB6hY/Y2UVE2q5LlMlc5UysHBwIkjrmK6hG8zfrfSdFamejNMR+FqMiDLE3L0+urZi\nkV4OLpWgu851RQRABtkZpjhU3gQQHdtFo2Qd2c9L1LHoQlWvo87cInZM3+6BVod5n509rbiOeN54\n3QeyjnENTFZP5ZkBUQZG+k09+UDM3N1Wx9Q9Y2ZaprQ5AcfL24rv+MdZX3ZvllZW5ix+MwaEnal6\nOm6Aqt/OZniNP1Yk4aJOMqWsf5IVHSpvAogyeS1wyqynhLEeLvryVcvOrDw2ka3QrRp5t3t+5onP\nPrlLJeDwxXnZtH3GhrLOzeOZZOyLZR+6n/m1jMGYe/x8BiwuXLqgb7+nWtNUAVPGdCoXLaLWT8aE\nsj7v6QwxRBc+wMx4EZ8/E6PP7v9BMaKIw4En6yQ6zt/VgOCA4xoKX7GcpU1KnF1DZsEAoQYBF0B6\nZ/Z1MyyvpJpibdH+irVkcQpnRRlLGiNDFr5aUpHVPwMh6ppp8n6foWzFhpiGM1SvlzPOavDSVSKA\nVW6u5+ltIwPVcpkZe3QwYqzIjeZQmabImwGiyhIcK62x6TFAl82EVYFcn4Fg3IW03d0CHffy+gDy\nwZZ1dHcPdYzCjjpk7bJBMmbQ8H5+73uNX++MNDvOY9VsWsVUed4NQ2bwCDy8P2OmHOQZC8kMwZBu\nslk0F9/axZeOtKbpjwFGbwaIji0tK5dZPQ8ocw2FWzv36bVCmjEerZiu2AjdLwGIl8utdjYDR2DS\nCmt1NObn3/r4qluWKbOMUwDIf2f//fgYQCJQ6392P4HI0x1yyar+k5V5SCdZf1FbZp9WvVv6YPpu\nRDxPTuPLTavymoHos0yxlkP/M5pfpaXrNLugja04Xc5vXStrozy4twsDg9yAim/dJADxw45Vgapc\nyojoxZ5Y1oj+GzSUtsrllnwfEMrAqPqu0piaV6u9W/dXAODMywGlJZUL6wO89dE1Q+xIxypmRDec\na8rUX7mQlvmNbYcxcvJA1FJsdZ7nqphMleYY5WrgCyg4s8XG0uBVI/PNFXyHutLU/bLGSt8fNs02\nW/cpWaVZ1Uv56DtzHQhG7qpVbkgmLfDJzvNcFhfK6uP5jQEhpu/spmWIKkak32z/fYR9aIgdjem3\nut/jT37eAdW3kyWItQB8HzlpIDqkot4xsvNSvG8mlcUVqpWqfGTi7Ows1ut17x5fkCgXSXEkbU7u\nnYvWiA+YaqGh/hNsKovnMyM+Y+frW9hps3pTR5Xeq2NjACiL12RpOyPxNCrGw7avzmdlzT7OPnWt\n9zmyGLrd+u8A4exqrJvGMmQzptJNFu8hEKlcYu/cSjbTw6Fy0kCUyZhKZx2r6jD6rgZQZinleqnR\nFDsRMEW8XGPBhtd9fCqenTOb/SEw+TNflKqTEYQi+u+U57KAjDmRBZFtZe4Eyz32t+u4xXxaTKfF\nDiow8vx8Ct/vy2J1DugtF60CqGx1thuDLD7HNLk405muyk5j53EfgqGHEmRweW0VR9tH3hQQVZ2y\n+l+lkXV2ftiA7Nyc2nVrpYb1gK5epqfnwjSY6ZItFoteXMkBhw+g6tkvdgx2UqWZWUOf3ueitilu\nREbzD2FCKnN1bko6mfHI+okH+bNzLWbmrNLBq9JnFRvi9Q5ivMddtUxcL9VsV6ufMFbEj0CwAup9\n5U0A0TEq2wIenh+im+y4fFEeXR+xHffD1bBKW9aGHVoAwcB3FbD2Ts/f3slIu1mHjNl4uTPQzQZO\ni820QOMQ8MmMSMtS+yDya1sAlOXndfCg9ZBkOiXLytw3f0wky49pVGVR3fmohhtGHXt4eHjx2ulM\nf/vKSQNRqzONua66d2zHyjqkd2Kn1GrYFqDxPrISWRyfraBFIjj58vuqQ1NHzmLoorGsfl824LLj\nVZ19sGfH/X8LoDwNHxQtQ+NMqOoPVXqeRhZr8/ZwdhPRZyoEEwKCgsVaQsHjnibBynU1Zj3YELjz\nkZGsLxwiJw1EmRwCQrq+smaellsaNkrE8655OsdHMtgxBDZcMMbOKlHn9m035KI5Q2K5Kqbi4OKd\nzV00SgayDsYVOHn7ZAA1FnRaIMYP9ToEQtm57Hx1TVYGlc/1putcv9vt9sVbWzKpYkWZW+f5VX3b\ny6F+63Wim0q2yfpOHYOZvCkg2gd0Wn50Nsiqgcv76F7pOlJsnXPLpeP0tfnRlD73ANput71ZMsao\nWvVr6SMbrCoT6+TBSV2XAVFlIYcMRwt4WgCk7wwYKzCpAIlpZ3GjVl5+jpMYWZ9i38jE3a0sTqQP\n36CRGRLX39DK6O12mzIeBySmn7my+8jJA1ELfLJzWUfPWMKQ5XQhC6ooO2cbvJP7lC0Hvrtf6/W6\n54b5thwCIq/XFFByfTH4Wl3nQJO5Zy0dDh1rsZCsvBwIDkRZehnAuIjNXl5e9gyIP3hMfWXAw4eQ\nlW+2ILRqNxpBD1Z7f3OmVOm5GksEqco4t9jQNw9EleLGdnKe88Zv+f8671OfES8fIpTw0QmCkVNa\npUtWo/Nyx7gpGQPVPmPXql/VufntAzVzRTMdZwwoA6BDwahiJWy/LPDsg4PBWAJJZiwiogf01BVB\nxuNwHiuiUZLOGfPxh6QzvfjMJA0X3bVsJb/rjUCZPV/IelRrhVxf1OOhctJAlEk1OMbcl7klYxiS\nhJ3babEaWB/fLsQpNxuVjMcXLDqYsQxTGFDVUYcYSfXbB7vrbMgwtI5VLKgFQv7cHXXvbRKRu5pk\nq4vF8x7OHmvRgtQKAAjQFUDxmlYgWcL0fQq/ih1lOnRj43WrwhHsq86Ev3lGRJnKgsamNQWIIl6C\nkd8j3127N+q103p7hwKCfDnddvv83jBuVJ/545SWFfTrqhhCxYIqYBhzreeRSdXZhyRjP2IwfNwl\nInrGQDtmchGp7uGWvRHPiz2zQa224noxv47GhuxF4gtIW/XOgEPgozK31hYRYFkPr5f/z8ovIKrG\nyyHyJoBoTOd2hVSWitYpU2bly1No5ZSHx46YP5nSYrF4sQ2rNqzXwkXOmHlcQOJrhFhW/fa4lA+a\nrIN6R8zOVff48epYC7iq+5xFEoQ4k6jjXLEuo8C9xAk6Yp+M51CX3g+yV0BlYO+MgS4cwcPdN0rW\nz9TeGROi+8dy0P0iwDCPrM/72PDlHj+IYPWYDl4pgR24GrQZGJFCt7bAFGAxKMlnuti5WB4GpmVZ\nCUKcplfZW6yixYYy0BlyzTzQuy/rmdJWlWTWmeWji0bXjHktFouOCS2Xy94bdyOiY6F6mwmZFYUD\nfb1ev3jdTgYiLLuzC7UtwYyD3lmUi7Og7JMx3jGSBd8FQt4fCHiHyEkDUUsOoYQZ8GQdpjXQ/TqC\ni1un7XYbV1dXnTUhCPEdYgSh7PGNFgtyyRhSdsx1ot+tb97T+h8xDXxaTLdqs4j+eicNIAEF3zen\nlxvc3Nx0j95sNptYrVYdy1FbMt7kbMddvBYY0bA5O8rupZHMJHPFeIzXEYwqfTtgZQZZM7yVG//N\nMyKJd9B9LGvVQdzaDq2KlpBS04eW5Tg7O+uARvnJgvJZMm7vobgQgUgundej+s3y+bdbS+pC3xn4\njAUiyZj2GTIizNNZjrvAnBAQm5Erxjftvnv3Lt69exfv37/v3ju3Xq/j7u4u1ut1p2eu4SLAiSEr\n3pfNPum7Ypqc7comHlrucyYVGxoS6pflVX2d6dAly9I5VN4EEFGyKd1M3FevGICDD/12p83MT8c5\nMyIA4rYgvM5jRJwp41S9z+JUwsHY0kHLHWul22JJrkflMzbtqecyEIrov3VCs1nb7bYDIDGgm5ub\nuL29jffv38eHDx/i9vY2lstlrNfrWC6XsVqtun5AVipgE2OKiC7w3ZrtymJF7p45Q82eIWsBi0/v\nO0Ma6zVkoDnUp/y+Q+WkgajFhMZ0+EyZrkjGGbJAYiVkLD7L4mkqdsR1KnyWTB3fH2YdEl2n8mYx\nrbFg1mIxFQiNNQp+bgpYZaxV533vcF3/+PgYt7e33UdM6Pb2Nr777rv48OFDfPjwIW5ubmKz2cRy\nuYy7u7tukoJ7P3FNkeJKeo2Uv2KnxRgdhBj7U/qZ8cuYLtN1oMr+twyWLx+oZt9eW04aiChTQGiM\nVFbKn6LPLFuVjj6++pZsSPlxtocuXTbYM3dq344yFDPI2JDXc588s9/VMS+Dx/Ainl3W7JXeu92u\nYz/v37/vgEgA9P3333es6P7+voshybVbr9fx6dOnzmUTMIl5cccFL6vXZUx8xo/rXOZuucva8gh8\nsWNVhqodWnGqofpNlTcBRBUIDbllbNAxkoEKmZE3vM5zPRHBjMyIHcpBisxJwmfUWBe3okrPXwvs\n96n8Pgvns2TUQ/Z7irQAxiXr9NIdfxPUFTTWyy3FjiKiAx1nRB8+fOjcs/fv33dsVmxHW7PIpbu7\nu4vLy8tuPym6gtVjER6QHqMXj985AHlgPAM8n87X8bEMNAOlbOxl8cdD5eSBKFPEoW5ZxnI8NsR8\nhwavBofcNO5o9/j4+CKewPsIWA4uBJDsTZusF+8ny2N+TDcD9BYLmqLzIRelSq8Cw4xBcp0Q37R7\neXkZZ2dnPTakGNH19XXv9eBaV6Spe7nJi8Wiu15v7t1sNr3Zo5YLlLV11h8rHWSGxEMFLfbFOFFL\n560YYpaXryQ/pgt30kBUWevsd8Rw0Ja/q47BBhdVb1kHnqP10qZpAiF93L2qLBvPZX67/ybAtACh\ncgf0PYYJVaDUapsK7HguizlpABCIsmewOEt2cXHRAdHt7W0HKA5GV1dXEfH8zvfd7vklltfX192a\nI66K5wAnA8lmwPS7BTius4rNZv8p7HtibvzO2iQrr5dR4kFxlWXM4ylj5KSByGVIoWMayn97egQj\nLlD0834fG4f38yl7WqrMmnCqPqIPQFn5dX02OFmesdQ8A6IWuAyl5/9bcb7sv3RNt0zApBlH6UFA\nJKBRjEhApDiQfotBLRaLLh3F6R4fHzvw4mpsXyPmIYCqLmNYQ9ZW1X9Pz4FB+lLfdbZcSSsUkF3r\nzPsQOXkgOgR8Il4CkFNLppMNSN+uw8uVlYf33t/fR0T/cQu+oFGdh43pC8iyTs+yE4y4yRmBaahj\nZQwvO9+6tzpW6a0KhhKECA4Edq5QXiwWXawoWzN0c3PTAQ9Zk2a+FJuT4bm/v++ATQsifd2Q96XW\nrONYnY25p2pDlof91afxxxqWlrvWcjf3lZMGIldey0XLrJNbr9Zxv59IP8SIMncvAzr9r2i8zpGF\nCah8gZkzNWdGXL/kdc703AL8qayo5d5lrpmflx4yEBL4SCd+7OLiomM/csW0kpoumUBID8QqL+lW\na4V0LQ2JM9ohY5hJ5ZZn1w2l479ZvmzGsVWGKv1jgk4mJw1ElKHBMLYzVACU5ZW5C5w5G7IoDnxk\nOmRBGhAehNW3LDXrmbmNdM8IXG7JhuQY7piDdwVAvJfXEYQYrFa9xTa1GJTrfRSb48OuWknNmA/b\nga8DZ0yPuyj4zBXZFOuSuU5jdJaBSmXksvyypwJaYJSxHJd9wHEfOXkgasUpnJG0wKjFgirUV97V\nNK2Xx+9l3vr26X7m6cAS0WdILI8Ayql35pZlddXvIQZUyRjXtHLz/H4HIl8m4csb5H5yIznFjAgk\nYjZiQgIiTdWzDSrWzAWTmR6zRzWclVfSAqwqhJBJ1e89mD5kEFrSKsM+6bmcNBBljKQ6XiG3N6R3\nuqqDUXzKuwWO2X/mSwDJ6ivmQ/dKA48zeLqWs3UCKTKwiJdrUI4100HJ4kBDcaaW25YNQA763W7X\nLT7Uh+9803VkNXKz9HZdpVGt62IbcF1XC4w4S9XqU9XA9raqrvX+JwBXP/WPg5Hr3VnWWNnHLc3k\npIEooh0nmiKVtcssz1R3beg/Qcw7C+M/OubbiGp9ktIgkDGozSlb1sctNgfNMWUIgFrsyxmkL+iM\niN7sltb8nJ2dxWq16gGRXLWIZyBSTIiPZvDZQLmCYl4ENOqS5XQAypjfUBigYkVjgYj9S99V4Nyn\n8glSGSi1WK/neaicPBDtKy13JKIf0Bvrw/vxloXPfHF3AwhGOsdYUTadH/HShdPA9cWYLfeTjGlI\nxgBWxRLHGBC/xrfZZTkYvNaaH22l4m/CpR4Uh+P72xl3onunNHyXTBfXqWJGbOuMSVV6HePOud4y\nA0dA8mt4H/WeGY9jgcwYOWkgmsqGKlfMzzkIDVktL8+YslTXEYxkjdlpVVZ1Dg3IiD7T4IyeLDxd\nOf53PfDb9ZT9nzI1XVF/rz/rSRH4ao0P4z1kMAIKAQoBimuOBEJcLqF8yYT4kCsBTSwpE5XPWRLr\nmfWtVluMYeX8rbr4TGvmjnlZmY67vVX7efrHkpMGomNJBkYV+LR8ZQ6cbBBl58l8mK53FsaOyIo8\nZqHO7/sek1URyFoDwX+3zo0B6IwRVq5XliYBmaxIIFFtWs/BH/EMZj5DyY9cM+4Nle2Y6Xs0u3Cy\ngLOeQ0DU6n8tXWesxuNTjBt6P5wqlTvdGif7yMkD0ZhKZg3nMYah31kHaDVeyy1rfVfpOGg5wPAa\nrptxKu71IMtyAHAL6fXdB4gyNyATAohE9eL0e0R0gWZO5WsvoYjoHsXQWiFf/8P6qx6KMXFTOjGi\n1WrV7dqo85nQHaY+nfXyfMbKs3Rdv3Rb3aVSn8jKReasvNwQVmDzJeXkgehQ8cHUGpgS71CSyhJM\ncSG9Q5BBkc2wk/mT9exEbv050Nghs/qSyrvOKlBm2amHDIz8Om+L1jlt8+q6E1jptUvb7ba3kpor\np6kX5iG3TPtVkxFp69j1eh2r1aq3hsnbV/qnjt1oEHSy8mRB+ZaoXzj75bmIfE/riq2fgnwzQNRy\nQTL6m/3O0ovoD9gha1INQqaTuS5K36l9Fij2zuWzYO4mOFC13IGxnZPXDE3TZ+myXtSn6iwWlL2I\ncLFYdEHlx8fH7tkybfmhxYvZrgcqA/cLV1xIzEggtFqtOhfO3TPqn/GVjHX6xIP/dn1UIiD2bWci\nngPlXhYaj1bbZuuMWm41ZQqQVvLmgagFJH7eB5z/rtJyepuB0NDvFv11NkFaTQvIeghYMmussqrD\nZ9tXjF260ALbISbU0jUHi7MCxYYcjJjGdrvt2Mzl5WXHiAREvlEadRARPXeMLppiQ4oT6V6yMTcS\nciddN1WsKiJ6dSJLz8QZmLMi9hnNhJIRS6ec0RuSqt86Kz4GCEW8cSAaAiE/diylVdJiR9W11QBW\nh1GHjuiDa0b9CWRcjJcBUHVM6We6IvPJFsd5fSt2oN/s0H792Vn/8Qo+kqHrrq+v4+HhIS4uLnr7\nUwu8lLYHuMVyHIT4gku5aKoX37rrdfKlFPzdCpxTzy0XTfly9pSASubO7YLdcDpDGgKkL+m2vSkg\nqpB4CGAqVjR0r7sEHpzU8WMILS3rJ0BR4JZ1oIUk09C1Pnvinb4CJr9e4kDEcldAxA8tNxlbRHQD\nyNuGixD1Uf0Utzk/P4/lctk9aX9xcdHlxxdYapp/t9t1YKOAtADo06dP8fHjx/jZz34Wd3d3XZ0U\nP2KsSGVsMZpsxk51zQAp61uqo7vhOu/twheEks0z9tmSlkF9LWP+poBIUjEefVeDaV/worgFHCuV\nu9byywlKbnUdWJi+domsmE1ljX1Q+b0sJxlRSx9VoFb/FcdxVkR3lAyJm80JqBTYVmxI6Qlgdrvd\ni1dN/9Zv/Vb85Cc/6d4nRxb005/+NO7u7uLu7q6rh2bZuK5oqD+pfPp2QMoMgYv3Fd3DeJHfS2bk\ne1bTKGR5teJDXqYMPPeVNwlElH2BhtdMubYKTkrGxIL0OwMh5uN5sSwEjVa9KhrO+7Mp7pab4JZ4\nDBD5oBOA+DXKQzNZm82mG8R0NwVIcsP4KmnNdCkdMSTW4bd/+7fj48ePsVqtUiDSORoEvuusFps/\nQQAACOhJREFUpW83hgQhB6QpOld/oPvN/aeqe1vrm8aGD1SXY8aFKG8eiMbKsZTHxuB3S7I40FjJ\n3LUM0FyqZQLsVNkgqNiR50sQ0oflZR5Z0JxArq09NGgyECKobLfbbmqf+tc1Ec/P42UvQoyIzvXy\nR0PW63V3brVaddcvFouOETFul9VXetS3syJ/mt917+1PfdO9JXv09tF/uu7Ko4ppeZ7Z79k1K2Ss\ncqbGcmg5qvwyRuXgVE1tV3EV98e9szL9FhB6B3L2kgERO2u2dinTBWeThsDIgclZIdmGjimIzO1d\n/XkzTdVrwG+32+4Nu8yXad/d3cWnT59eBK3X63V8/PgxPn361AGR7meMKWPfXlfmz+fcfMbM9ZO1\nI3WsOlaM3t04siluHdNiOJWBy+QY4PTmgYgyFbGrxiCVdeF1DF47ffV8+H0MadH5DISyFze6C8FB\no47LWRgygYg+G3IwysrJT7Unk0+Ta0qd23hoFbX2GNJxMgQFlrkOiYxJbhhjP8pLjEgrt8novI4O\n4AQWnfcHbqkDuqdVO+u8+iV3a8jaPnPHnEntM05eU04aiKYO3C+pXLeCzoqG8h7rrnkZMxcqS1/f\nvjKY+WZ1kLVlXKZiZlxfwy1bM7DzaXu/9uLiIna7/ssptd+Q4j+azhcYCZDIiFQuBakd5JSfgtQR\nz++618JGrazWedabW4NQskC0jhOEnCGNbU/XqfRTXcdvtkHlSnrfyfqSs/JjykkD0Rh5baQeypuf\nFiuaIu4WZmDkLkCVjr7pRkX0WZ93TM7IZBaeQJI98e51dxBzRsQyaoWwXCatIfI9prVRPp8vE3AK\nULwcBCK+TppbgQjEFKPyuvv0fcRLJlS5oh6s9uuGDIv3scVi8eI5OLphnLL3uNI+48YN2L7pZPLm\ngahC6gy1M1dgKtI7yGSWJnP5WrGhzHVrdZiq82bxI697Ne3uFpz03geNpAIhfrLOzzLqoyfrtUZI\n4LNer3sDWA/DahEj96BmUJvT7NIrWaH/ZszJ78/iTNSbsxoPkjM25ODuYJS1OXWpb5Xt4uKiAyMB\nOUFd1zu7zWZjPb9jhhKG5M0D0T4yBnAy9KdlrNaSZGDSatDsXAuEHIA8/30tlA9adkbvwKonY0+M\nEVWdmAPWgUgMTHlp90UfqHwyf7VadUCkGJGXR3Wrgur6ryC0x9LYpoz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Box Filtering using integral image\n", "im_filtered = np.zeros(im_gray.shape, im_gray.dtype)\n", "filter_size = 25\n", "for i in range(filter_size, int_im.shape[0]-filter_size):\n", " for j in range(filter_size,int_im.shape[1]-filter_size):\n", " im_filtered[i][j] = (int_im[i][j] - int_im[i-filter_size][j] - int_im[i][j-filter_size] + int_im[i-filter_size][j-filter_size])/(filter_size*filter_size)\n", "imshow2(\"Filtered Image\", im_filtered)" ] } ], "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": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }