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@uchidama
Last active May 6, 2021 07:58
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import cv2\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import sys\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'numpy.ndarray'>\n",
"(635, 800, 3)\n"
]
}
],
"source": [
"img = cv2.imread('./ai_shigoto_makaseru.png')\n",
"\n",
"if img is None:\n",
" sys.exit()\n",
"\n",
"print(type(img))\n",
"print(img.shape)\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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XAq8Cvuacy4ANIrIWWAbce9ivvsCvR0nDQZc7TLmqpvnM4sIqYn3Nf5ZqTX8QKbmE3mCf\npd4CZTVJZS00a22DvAQBLgh57QfewqzTTyUK9HRzqlDPodTXTz2HermLR0dhX0NX8aOZYayRkzVT\nss372Lpmq0bRRph01kJMby8mbbL3gcdwWU4QhwQ4gtBgk5SdG3Zw7u9cyKv//q/oitTVFeQ5I9u3\nseXhx3n4jgdpNHIEQaIY1/Khiqg2G4WqnVoLpRI4tHw2bWiEGoYawboUKjFFLrfAoeKQ1jYiMhc4\nC1gBTHXO7QQlXhGZ4nebCdxzwNO2+m0FjjaSHCoRxCXcqE9AOaeNR5xPKAUBiFYPSVxqd3GSKFYZ\nID+gxNRrmgSaNLrsTS9j4sJTGbVQ8/po08uyTQs5msuaU4H1Y7rcT/v66DpnCVmSkIzVGXnkCTUb\nIGy9ZxWlaRNIdg8TVGJ6Tz2ZWbMHmFgWmhbGM4e1wq5UOwrWMuiLwRBQmj6LxYOzOPuVV1PfvYef\nf+fHrFr5FCZX760LY9y5VyKP3a1RrXO47sm+UUyu5BppcYII6s9NMzi0su8CBZ47qfql/7dQjXRM\nG6IchGJ5f7zB4JMtqc89ed9oV7+3TYmv/zc+yeP10lZFUtLUbUmiiagwhDTF2py+CX3MXH4eI6mS\n50gCP9yhPF6KILHQJTCca5Sa5pDhGN+0g9G1G3HW4QKDc4LF+/PDgHzPKKUFJ9E9ZyppBssnaTRq\nLYSiEsIN2/QPNzbQzLV8v2oyHCHdIfROm8Qr/+DtnPvEU1z/D19Fyl24eRcgK36I9vFRj62M7cFN\nmOkbqeATdfoaCUuqQ7zAOFVE+JP4T/h089PH+lJ+a/GcSFVEQpRQ/805912/eaeITHXO7RSRacAu\nv30rMOuApw/6bb8EHzvg/5f5rwKHD6KNUvJUI7G4pL7TA5ufOAf1cQjL2HnLVTst+4YltTEl2UYN\negaYNjHi8itPQ3r7qdmAjZv2Mrx3hNKMqQRxAKWSkmemn7DbMiXcNIckdwzdcT84RzBnEKlUcBMH\nyAPoAhqZ+lxNaMgFRhuAheuehimRY2zPEBOnTaTmnVoG7SLYBPYPjbLv4dVMnDKBs84/hYYVRGDK\ngvl85H/+MZ/6yhPw6O2ITQ8oa23guidpEB5EWtfQ+iCJS2DTg/Xl4xhTpk4lKsUYo1LFdSPX0RP3\ngHMYYzTh5hvilCtl0iRl//79x/iqj1fc5r9+czyn1n8i8iVgj3Pujw/Y9ilgn3PuUz5R1e+cayWq\nvgIsR5f9NwG/kKgqWv8dBfzhPZCkyNq7kMY4BCF2ydUwsg2z/hFacoBdfEXHVtRV8Ukd35QER7US\n845rziEVw1gKo4nqpuvueoRkvIETIbfg4oC8kSGlMn3LTiclVFdXBo11T5Pu2EO0fAmUSizphUU+\nF1SJlVS31eGWPVrEJD5gFgeMjZE+tApnLUGlTNfSRcTlEnGowwDKBsK8yZ57HyU2hvOuXkp3CF0R\nlIDe0PLf3/XfMKXYh7wRtmcKzD0Tshyz6uZOOWqq/VTdhKlaTCAG/vH8Y/UbfFbMnD2rnWRrJd7S\nZkJ9fNz30lEybe1T6e4mCAOMMdg8Z+vmLcfu4p8Tjj1HHGrrv2clVRG5CPgZsBLfcgP4/4CfA99A\no9KNqKVqv3/OR4DfBVJ+haWqINWjgA/eray0/mHMyE4A7OLLICgja+5GaiPqAw1C7V+KViNJueqb\nqTSJ44i3/8+P0sjVCjW/CmO5WqG6A7htCMZqOTYMGN+6i2ykTrJxG0QBNrOY/l7iM+dT+9lDyMxp\nyLw5uAz6SjC7DDO6VSqohnq8e/bAxjodbdf78N3wPtg5hNs75NsUCt0XLKVUCYgNVAKIkgZD96+k\nb9IEFpx7CiWB3hgmleCxOx/ge9d9E6lUsWEZFl4C9QZm9c2dTlW57x9gDK7Pk2pg4B8vOIa/xF+O\n3okT6apWMMZoNNqqRBMhbTapj9fa+zogMAZrLd19vQRhqPt7wgXH3t17SbImNrW/9HzHDseeIw47\nqR4pFKR6FPChe7SK9Kn7kbG9vhQzwi66GEpdyMbHkD1bANuxHLVgDDYIedWH3kHXnLlMq8KkUF1a\nFkh9telPd8HWmi7zdRKJJdmwjXz7Tmy9qR2mxEHucCLYRga5g95qp/OVy3GpJs4kNFAqIacvAAQT\naSLexOB8Txee3gg7d4IRqovnE0/opxQosWabtpDu3MVpL1pCNQroK8FADBNi+Pj7P046YRrMXKTE\n/PAP1W7VspK5FpMLrncq7qQz9YT/cGwj1TgIINDoshV5Tpo2FYA8zzFGPcEigrOWRq1Os9n8hS5b\nDuhpkarvc2CtRUSw1jI+NqZRbqNxDF7lr8Kx54hDJdXC2Xwiw2rdvGvUkSxtezjNY7djl1yBG1yE\ni8tIbVTfZK3OT8bPfGo2qc6Zy3juu+cFSqgjCexLYSiFDU1vCsCR7dxGtm4rLvct/Hp7kXmzcYHo\niJY4hnsfxYlFrMOlvklLZLRQIUm1N+t4HXfXfVCOccuWgIjmkmKQFOTkOZhT5+AeXU3t4TXYsxdj\nJ1Q1BzdrkNGnNrPtqW3MWThLC8hyIIH3fvQDfO5rj0OeYB67Bbp6cXmG65+JjOwCrI5jCUJcqUQn\ng3Zs0NfTg3WuTSuCJqKcc9g8JwhDwlbUCdpEHAiiEFevd7y3fvlvRGg2mpSrqrMaY9oVdMYYxEEc\nx0RRxNj4ONYeb1HrCwMFqZ7QsGAFCfwyr9nw1UUVzMpbsfPOh8knKQmGgWZ/WrOqcsvUqb3UcxhN\n4Z69MJZCI9flegJkviApx5HedT9Yh+vvxSw6BUfAWQNQFeguaWRLDvdcfBbjCe3lfesySdC/xhCN\nZPcOwRNrcT+7D7l4GYTgEnCeB2wK5vSFsHUr9UdWIRefA2FA4PT6mmLa1VpTqjoOK54wAbImsuZn\nuDxHmnXc0pdDkuNmn94ZEph6zQGnXbCOAXp7emhRmhE56Ha10Fplip+pZZ1rT2c4UEcV/3yco1Qu\nYYwhz7IOsXoyPvAc3V1dNJNEI94Ch4SCVE9kWAHjcJUeTG2406pPgKSBWXunF9zU0O8a42BCxFre\n8k+fYCwXRhJHHRhuQNOpXzQLfXMrp8Fw8tO7wYJ52UVg4VXTVCNNve++p6SnbKTwppnwH5tgxOK7\nQPnvDqgB3WiUPHUiTD8PbrsPt+J+uORcCOCNg9Bfgn95SveTwUHcus3UVz4Fi0+ldufPCYyBgQFG\nain7Nm0hHRxg1pQe+ioBsuYObcYCuEq3TlmNtDeCbFuHE4ckdeiZhOubpvWERxHlcpmBKZMZ2Td0\n0PYW2TnwS32NNgWVAKy1hJE2fxEj7ei2Raatto3iE1TGj9ex1vrG36a9XysaLsUxcRwzOjp65F/4\nCYSCVE9khGrwlKGd2iTEeRm7exKyf7uWa7aaqNgcuvqYd9ZCLn7H61n75HY2PLYBGwY0Go6k7jtZ\nTZmEG5yBDUV11KFRrVKaM4htKm+XfdZ+dwabRtQpMJaoZ7VNoAZYuxWGh2DuXD22oCQb+u9iYO5s\neGo9jNY4Z2aVstFp2ZOBPYF3B1S7sPv2U7vrfowYupYsIInLjK9eS7plByNbdrLewJWvX+7HxAS4\nchfutEv1/mx4SCcLuFzHxSBafTZppkbNRxEDkycBnWU+dIhRRDrtZPMcMUIQBARBgLSsU6iuajyJ\nBn57KwpNGg2iViWZ6HlMGLZbHDp3cJTrnKO3u5uRsbGjdg9e6ChI9URGluvQu95JUBuG5hjutCs1\nKp19BrJ9LbJnEy4oQaVM1Khz2Ttez0gG0ZRJTDy7TM0GBBJhhkcYX7+NfMt23LadmnRq9UaNI5g1\nU9WGBL66wed9QnwGC31HR3Qi0wyYNhF2boNVq7Sz1dKlvgcBakCNgcHp6rEKqpzWTXua9kgIpGAD\n9KBxiJk3m2jKAHlkSC2UF53C5LPm0y2Ois1oJsIZly5n1Z334+a/CKzFPPwj35u1NaAQ7dMaBr7D\n19ErUx2cPasdYRox5C7vJKD8dhHB+gRTGIRYn2B0zhGEIXme+2yewua5RqGtx34ygwmCNoE6aw+O\nbA+Yhtsi996eHkaKiPU5oSDVExlhqGQxb6l2p3IO4s6EUDdjIW7qAiWxOGTRqZNJrMqI8/ojesr9\n7M1gYw1sWCGcNBU7UsNVy9in1uG27fUNp0XNcwb9ixLlpbZQF6OaqUMJMvP7dVfgovNg+05YuwlW\nrIAXna9EXPGvQYDB6Zzdrbkva5VUm6LHkhQolXFjY7iByaQOxGoEq52whKYRyqWY4QSWv+XV7DSz\n2D1UQx65Uc8R+H4Aadoh1zT3nV2OTqTa1d2N9Rn5MIqw7kDLE213QuuxzXNqDnorJfI8xwF5lrUd\nAC29tH31XnMVv+3ArH8QBFpQ9owI9UBYa6l2d1EbGz8at+MFjaJbxIkMg+qFu9YjT/wMeXqFznTK\nLGx+HHn8duSJ25CVtyBr7mVk7WOUA7hgAGZXYUk/XDQJzurxSSnA9VTJ734Atu3VYw1M0jLWtU9o\nZZZDSdPSWcr7joLtbdDZLwdmTIVLluoS9O77OtfekguAzamSfWrhpp0HvMYY3NgYVKu4QBNZWa78\nmFhNrFmfe8uAegpvuuYceOI2HW4YRm1vqo7WLqlUUu3V13eULD39AwMExqjmaW07onwmnHMkSZPP\n/Jc3svd7/4MN3/xL3nbVeRqxepI0YdAmzNZz2s9vb+tMWHA+8gUlz/wZz2sR9MSBAfr6+4/YPThR\nUESqJzKSDEohUtuPJOOQh8jjt3RM7qGGfs5Z3Pgwp19+LtWQdrSaCNQzeHxEl9k2t2R33I8LDPKi\nc8GGSny7emD1Oti+x48s6Vh1CI3qkmkGZy6AgQm6D2gEm/mvxMCs6bB1B5gc0qAjExjY04TPrzvg\ntbWKiFqkd9JMlQWdL+MPc7KxOuO5hUiIJndRDY0m14BFZ87niZVPablXa1KBdaiGYZHafi3pbTXe\nPsJQWVujxzzPieKYLMs6CSrnyHPL5659O29/6bLOEj9P+OTvvpTZUyfw59fdQDk+eFLBgdEngJ8c\n5ifsalSc5/lB+5kD9tdrk7ZUUO3qYnjo4CRagYNRkOqJjGpZyy7HhrzBvZPhJS77OlAdOf3Wa99H\nNGU668bh0RHlms0N9aSmAmnTkd99vxYTXLwUnBAKTCmDnTudHVOnARmM173PKlFdcv+4LqObDVi5\nRtfkp8+HyQOQwxtmax/tG9YDM2fDzt2wfwx6fY/XVvKqFWxFfpsDhvfDyqf0QXcvZOAi7Y/SuPsh\nkiwjDA0NsYwY2NkTM2XaRPqXziUIveE/LmmfgzDWUS2ZapCuOsGPrj7ylqq299Tag7ynxkebuXX8\n2XtewbXvvFoDdz8TjNwvAYzhg6++mDdduoSLPvT3jNWaB9mo9FvLfiWqp/pIuK3hes/qgSR+INrR\nrIO4VCIprFa/EgWpnsjIc9UHc9d5g6UNiEraK1V0nMolv3MZ/TOms6cJSeYYS2EkhyQTrVbNwW7Z\ngmumcPmFuEw4tw8WTNDgLg7BOeGrmyOyONLotYR+nzJJiTAFFs2DOx+AVU/B2TH09dAT6q5Xz4Ub\nNxqNrtc8DfNmQ18flANdv+P1h2YOW7bC7iGVHYyB3gk4I4iFhVV4YhiCc5YQlyLKIVQESskY6Zp1\n7Nq0k/2nz2Xl/WuQnh6cBMpRjTqudwDZtwPX1a9lq4FRqeQIYwL6ORH4RJnz9qik2aTWyFnzn3/F\nyZO6VPcV8ZG+KLk6XwmXZ0ya0MuTX/4zXv7hf+Gu+x9vE6p1rl2JZa1rV2EB7TLXPM8P0mwPchz4\nr5anddKUyWw77nsGHDsUpHoiI7cQCu6My3UZnmSawRGDi0NdljvL/EvPoZHrw40PrWHXhj0kzZxg\ncCosOgWbG+y6TdDTqx7SXJuVZE7lgaaDDXVf6dqySzXQ5X1AR0dNgGVLVTfdvJPXL+xpB6MTY5R8\nI58kWr1OycP5utgs72TiAwNTJ8PkibBhC+zbB8YxORYW98F5k2BHPeKO3cqJNgJT7WbmRUvoDZWj\n3/M3f8r1//4gLs1x5Ugv3DrcDG9MjQLPdEc+7VAZnEmWZZ0I0t/GhXOnce8X/0xvaDKuH5BBSaN9\nm3unRNg8ExHpAAAgAElEQVS5534K7g//9kN865b7eOdHP08Yhh0XmyfQVueqIAja+m3LVXCgdUt8\n+at1TtUcaOu2EydOZN++fUf83rwQUZDqCQ2nmZ3x/WqpyjJ9Yw7MQNY9iuudBlHEhJ4S+33FaP8Z\npxIunM/uTfsZfvRJ8p1D2DDENVK45Ax98wZw+yaUBFucEznYvx9KXbqUbhkjW+b5lpWqnipBTptG\n5B+GBp4cQUNWa9WeddJM/VB48FFIUlh6po5zEWnP0CIC+k/T6Pf2n7ProuXkaIA2taQkn/vufS7W\nz5TxHAZ6oBxFnD/Lcs8NtypB5Xl7git5jhuYCXPP0t4FRxjGF2C0iM9ZyxXLFvHvf/k+34LQaX9X\n5zVfibxB13pHRQjOdxkzATTHecMlZ/C6O/4Pv/fxL/LvN91PYJQck2aT0OuueZZ5sz8Yo0TqfFTa\nItpWgYGRgCAMdbtz9PVP5IorX0OW5zz68F089dRTR/w+vVBQkOoJDVFC2rsJM7yrHcmwZz0kDWT3\nFohCUvsKMqv66YI+oZEHDFUGWBEvprZhC+wdRvp6cCVR/6jRMv6gosZ+Uge33dvROtMcTp6tkWR/\nlxJry38aRWqbcto7YGoVttTgof1AraF6wsAElQ6yVK9/0Xzo7gKrXadePlWVgB9th5oVuPBsuOch\nuHMF3zr7dMr9PSSZXqP4CQRpqom3UqBTCVILl7ziAu7+zo2Ylj/VetuZEciygzTJI4XZc+YRlyIa\nzZrvk2155UWL+ec/ucZPeI31prZGfremwlqfbAxCFZFb4rPN275bkzb5/J+8ic//9/fwij/6e356\n/+OUK+VOEYG3X2mE7BNVXgIwrSo7WhEqZFnWdhlopBsiIixb/mIuuPAqwjAkCALSNCXLMu65+1by\nPGPjxnW/6uWfkChI9USGNRCFSLPm9ThNRrikgQQhBBCGAc1cl/G5g8GyZv8nxbBrag+rK6eS33Ef\nnHEq5HBGv34J2gd11zh8f7fAheehBtUMtmyHrdtg01bd6bQFSq5NVA5wQAlu3Iu2Nm8tX1eu1iV/\nXNVtQyNK0D39GunmcEoPVELtKfDmWbCtBjfuDGDRQnh4FTy4ioYFM2sqWalEMGMAGwc0h+owtUd7\nyrQ6beUwbeZUdm3f7clJSco166qptnsAHH687vXvpKenF+ccDz9yD42mturLHfzvP75Gb0gYePLM\nVD81Adbm7B+r0xtBGJX0YC73EWus15s1QcKOAyNLueFvP0CS5XzpJw/wketuoBzpW9+iNqp2IuuX\nZf6tbfcKEB9JN5r1ttYaBCH1es2Takjsy1tfdOlVvvLLkGUp9fExvv3trxyR+3k8oSDVExk2VbN/\no4ZDl3laMRPgxCBZSqkU0chbNeWwL4HuSIO1KVVYPZThkgzp7sEJnDNJg0kRn1Oq44sHAh9dxnDK\nHP1auwn27IEHHtUnXLRMs+kWDRfDQAkgsXDfIyqAnnIyxOKP5eWKlsyQwwMjcFaft5ACU0rw5kH4\nuu2G3h7Yt1/LZnfvxeWWZNs28iwjiQ2TZpwHouW1zVxdXMuvOp/vf+VHGhW3LFRxGdLaESPUd7zz\ngwBtXTMuVXDWYXE89sUPq+EgS8GEPLZhOz+7/3E++rlvs2f/wRVN2b3/ShBGnRE4LTdAK6I1IQQh\nY7UGPZd+oP28WVP72b57lEqlSrW7qy05PDMyF/9YRJAD9Ng0TbWXQ6NOtVolTROiKDrIxZD7nrdh\nGGoHLBymu5d3vftD5OL48hf/6Yjc2+MBBameyAgDSDLc2Vfq93YbO7/MK0WMNlPEaLOTsfEmtw0b\nmnHIvlEhseCCEKnGOC/jXb8NJvsS1D3jKEEG6Hpc0L+oBF9iOhvmz4bxBtx5P/xshQ4izPJOvakx\nPqEWwvlLwESd4wShknCWa+LIV2N9aR28Za73dlqdVSUhuKWLVIaY3I8sPgXjIMpzyrGhKqL9Xp3m\n2qJAXQv3bhTs4hf7kt5QHQUiMO4/kKLDq6m+9W3vBxzGaJlos9n0zlHHW19yDgM9FT9xAazLWPzG\na3/lsZxzkNRUD6726mrEhN7OFmp0K5A948Nh8071mY6mI4yOjBAEAZOm6NzOds+Blt3KSwLGSwZ5\nnmuCK8/JspQo8n5a0aRWFGlJXetnLRJWotWKr8AY3nzN+/j61647rPf2eEFBqicyAoHxDHasQbIm\nrncaUh/ShE+pCze6i/f9+fvZ24DdG7by9CMbyYwhbeSkQYirVHBnLtbWgM2m9ghwlt2BeOcAmgnK\npVOO2qrzT9G/LgeUyvCSi+GBh1QjnTsTBmfp/g0LFaOR6YENV1I0w79pG/zsPjjjdJjaA6ge+qUN\nMCOG8yfDyn2qOqirfwE89gQsnq8G20j10jzX4C81kHser2cQjI3CyKiSed6Arj6ojcPARL2OZnLY\nfh1vfdvveaM9iFiiKCLPM/onDLB+0zo++f5X0q5qMCEmMPR2lbn83NP57J/9LjP6q15PzbTyy6EJ\nqkiJjyDyZbb+u7NgDBNKIXt/+lkm9lYYGmty3X/czN6RGv/rqz8hSTMlyjzB2RwrBgPtZT74fgN5\nrvu1klXGkOcZjUa9fc3S1loDqtUu8jwjTVMftUKlUm1HsOVymbe/4/f58Y/+kz17dv2y2/WCRdH5\n/0TGB+9SS9DGlZjh7bikiXT1aiNmI5xz+XKWv+5l7E1gfwZ7EhgerTMyXGdk027SvcMa2VmHy7wR\nvqUhlEJv0fJv6Am9SpbdvXruVtIqRBNVrT4AK+7TN/uyczSL3SLRVuGSoeMoSFHivfVefXzqyVoW\nG8rB5a4BneqrALj7foLzz8KYkDiCkgPZtoPJJ0+lvyz0GZhSgYkl+My7/wRTrrajQ2etttWbOAM3\nf6nqqp+96Hn/Kt58zfsIw4DAz8LKc00uiU8Azars49Pvvdon9HxhQuiHM4a+Sio/YOprEPklfmuW\nmPgINe48dq3yMtcq2dLntUaNx2XytMmf/v03+Ojvv4HeSgnrLP/177/BZ//zNmJfICFAEIZUe7qB\nTpOWJWcuZ2DiFPI8wxhDFMUkSdPLBIGXBXyizVdw5XlGFMXt129E+NKXPvtr7tyx54hinMqhXcUx\nPv8Rxh/c3Wm6nDtdzlqvZRrhj3/3PBJn2Dquo6AbFp6uwfY63DcEzdyRrllPvnW3Sge5g+kDMDgI\n1RJEVhutrtsEYzWN6nq6YekiLTMF7/VEfashqo/+8HbtjnLlhbq9lahqEWOru1Xsn587eGID7Nih\nx4wDuHiZ7tOquCrrOSQA7rgXs3ghwaQ+HQwojuTu+4hCYdFV51EF+mMwY6P8+9fuhv17NZknIKN7\ncaUu7ew1aY7KAp+75Hn/Kt72jt+nXqsRxzGlUhljDI1Go21d+tx7FtNbKXtdVzrEGfhwP0s92aL6\nqQkga/iI1bsDgqAzFqf1p92amAtKuCZSHdu2uln5Tz/xjXZazocw4m+++H3+4os/IAzV7tU3sb+d\n/Q+CgEkDUznj9HNJ05QoitqEKkblAWtzjAmIoghjDM1ms11oEIahJ9iIf/vSP/+aO3fsOeJQSbVo\nqHIiI9dOR7LxfuSR72Me/THmwR8gD/0I7vhPjNFa+DDUiSYiMLMMSyZ4M7710RIgL1qGXLQc5s3n\n3MEyL50qLOkL6B/ogjNOg4uXwuxBGB2Hm1fAls0Q+DeEwDsXwjvm+es67zx9ozdthzxDYP16Xdq2\nfDyeZHsDIV54Elx+Acydrs+99R64cwU0616G0MBXE1rajlB820EjQt/yxbh6wq5H1lAJoBI5vv3l\nW2F0GPIUl9Zw5T5sdz9u+vz2dbdLQp8HXnLFK8mz7CAdtdFoEIZqSSrFsRKqsyr6ZrkXiVvWKavR\namvpL6iWKkHHBgY+ao98vwJpOwYIY4jKgE8MZqkeM/NjuIPI+3Mzn/QKEOv409dfzNAP/1Z7BLRK\nZ/2srDzLmDP7FNI08dq2JQhCoigmDAKiKKRUUvtWbnOSJCGOY8IwJAwDSqUSYRhhTMC73v2Hz/se\nH094VlIVkZKI3CsiD4nIShH5qN/eLyI/EZEnReRGEek74DkfEZG1IrJaRK46ki+gwK+B8T7V3CGV\nLn0jRZEmRsK4nbixDm7areNSUgdDiSbkJQK7c5eOrU7BGbhmNizshpldsLQXXjsNelra6fxZ6kE9\n5SStdLrnATAZZD74AqZGQHdVTaRPPt3RYQG27lJ5AB9teVvtq2bB206GyyYDs+bCJcthQp96Xh98\nTN1DDshAMge5xYQhAfDWObB8IlTKFSacMohLMwKBh75/C8mTP8dsW43ZtR4zsgezdSVmeCfm8Z8h\nezbrjSk9/7TD7NknYUxAHEeEYUQQaLTWbDYIgoBXnjlZs2dhuVOGavPOL6flTW2F9GnSafTSItRW\nRJtn/oPJqRvAoY+zFNL6MxrE+Hq2LNcIFmjPFB8ZgqhCFEQkuddW/dSAVhtBjUI7iTzjrVPWyw9J\n0tRoVQyh12Kd01aDeZ4TRRFhEGKO4RywI4FnJVXnXBO43Dl3NnAW8DIRWQZcC9zsnFsA/BT4CICI\nLALeBJwGvAz4rDzT/Fbg6CCMIQ5xUeR9UEaXi8DMBbPInUquzkE9cdywvs63nkr47toao43cW59S\nZOF8JICXT9OINvQ6qPj3fHerU3+ramrODLjkHP3hrT8njjW5hINeg0oAPRXfyAS/xAcuXg7lGO74\nOWxY324ZmFu1QM3phnedqvvL4kXIhUuRZed5d7+niD1D2hE/NEyuqDNgfo++zkmnzOGkZYvImnVW\n/uR2XJbhauM4E+Cisl5vy1JV8mO6vdb6m2LSpCk0GnWiKGrbjUQMpVJMHMUgcPmCCT6Tluk9TJJO\n1Oi1RyW+sCMJWJ+IwmulreKA1ieUzTo+VYu+rshXurWq3lrNuZOGfk9T/X/aVK+w72nVzGx7ZIsD\nsjxHgLGxEWq1cax1ZFnaHvOCH9OikaomtJrNhrdXBdqCwiew0iyl0agzY+bs53Wfjyc8p49h51xr\niHiJTk731cClfvv1wG0o0b4K+JpzLgM2iMhaYBlw7+G77ALPCal2hpb6OLTmZ6RNyC1b12wgMlom\nmjfqrLvlURqpJbWi/Ugt0F1RoirFOAc37YKF/bBjXBP++3w9AbmPFFvkCBCXcC86D5yScSu3NN6y\nYDWaHbms9dwIuOAcWLUGNm3XKPvU+Xx9k+G1gwfkpxp+X3SVjFUulwjsunUEk3uJ4pDLJ2tiPED/\naEtGn3bXZ68HBAkCXHc/7uQL1CWwbRUuKCFje3ATp/tPnOf3K/idV15DkjTaOmJLArDWYp0lDiMm\ndnXpTUh8Zy8J/Y31NyZLOgmmVu9X46/NWjX/h5ESs/HRZ2tSKq4t4bSTVnnq/zZ8RByVVLeWwB/X\neenIeHK37QYsrRlWWEt//wBZpmTeSlKVSmWfkFLrVakUt5NW9VpNq4uj8AACdoRhxJIzz2Xb1k3P\n72YfJ3hOpCr66h8A5gH/5Jy7T0SmOud2AjjndojIFL/7TOCeA56+1W8rcLSR+YYqItCoI2UffQmw\n6FJCUTIqlUK6+ruZfPpC6ggjoymj6zaS7BpCWjYav3xfPQQ2cxD6CsocXIvtggO84z5yxMLtu+Al\nM+DGrTCWAU9tVFP5ReeqTz3RlW+eorXnpy/Ahetg1174+QPY+XP5T5kEqeCMBmzgidTPMTQW7PYd\nGOeoLDyFKNDhg/gVfE9Zq7C6Ipi24GSGdu1RsopK6p2tp7gZp4IEOGapETc/sKv2bwbnCadlkkiS\nJnFcahvjowAfIRufZDKezAXyDBc4aiaky1rv2/WEmzX0RpgDiN/4m9PSXVtZ/1bprc07hQLG91HI\nW9GxlwacqM6D74cghsGp/dRTjUSN7/cKUCqViUvOP3aIGJIkoVKp+P4BOY1GkzAMfAJLiwCA9s/T\nNCHPcyZPmf687vPxhOcaqVrgbBHpBb4tIqfzi5/hxzpNV+AXIPpPBOnuBQRnQtyiS8CE/ODrN3Hl\nG6+kEkcsuvh0RjKNPl1QgsWnMrZuM82tu4hj3+3JgUuBkb3YJ57GWVEHfRjAgnlQqmIiVXpajeUx\nOjn121uVPCVrwJZt0FXVRJKBl85Vi1No4KkxWLEP0oXz4KSTcCufgCeehlVrkTmzCAYnQSnGSKBV\nt84i9ZR85WoYqxEP9FDuLjGnogRaElg3Bl0GKp5oRayP1EDqw7BmBYQlZGQXzlkkiHBd/biTl3Lg\nvKffBM7mJElKHMc6VyqMsNZS6apw2VVX8uLKdu1AJT7CbBFdpgUR5kXvB+Cmf/wwV5y7UA8aCHVr\nuOBdH+Nv/ujNXHn+EjpNZ73M4zXYNZt2sm3XEJedswDqo1DuUfJMU0bGa4yM1RmcOMEnxkxHbpBQ\nyT1POXn6JFZv2dnuatXyooZhSJomhH57GIZkWUaaJhhjCMOIajVoj2xp+VXz3GJtjnO2XaXVmjxw\nIuCQVHjn3IiI3Aa8FNjZilZFZBpaxQ0amc464GmDftsvwccO+P9l/qvAYUMcaKRaqiDDoyCCW/YK\nLZ9aeQurjHDBFcuIevooW5371O0Ha5oyJJEhE0vJ6Gy/PPO9UaZNJKk1sLUmZvIkstVr1HDv1B7E\nGYswXdWON9UBI2Pkq9ZCkiJxiMya2l7htpovOYFTu2FaDN/aChIaWLIIwZI//iRs2YLbsQPJclwp\nRALBphkmCjBJRlAKiALoLUHNwS27oSyqWfVXNKFWMvDkXQ92vKDOImNDtJbMYi3OZr55tVUR+XlA\n9dOSlnR2dbP8ovOZOGUKcRSSZjmT8nGNMH3HKEJRQhXtQHXl0tO46YHVvOHaf2D/zf8MUcgDj63l\novd/gmaS8vEvfI8rly9uG/1JW3XDikVvuJbcWtZ86685Ze5guwrCIfRd8QcA3PPZj3D+gtleJMcf\nJ9VrMgHlUMhz254QEPlR2K94/WvYvmUrd99+B1EUsX//EHEctyPZcrlEnneKHKxVMtYiAdWWVRpI\nCYLombfuGOE2//Wb41lJVUQmAalzblhEKsCVwCeB7wHvBj4FvAv4rn/K94CviMj/Qpf984Gf//Kj\nf+x5XXyBZ4E4SC3SGNcI9cwrIMuRDQ8hNsM5Q093mcQoocYGSlYtn6GBCVN6ybbuoGK8Awctq3fG\nEM4ZVElAoDTlPFzgaD78pI6sfnQVLsl8k+e83cnaOAjPXUL+xFPYdZsIJvRieqvcOgQvmwIDXj7o\njpTcG05Xs+IM8dmnad5lfFxXsjt240bHiSYPUJ0xgBCR79pB4+nNdAdaHNXTA9UAQgeB1T/2kc2b\nyZIEkiYSl3FhCXfmi32G3WuYzczbmJ4fob7ude8mSRKCMOC1b3kzcSlGROiuVjn/nEVUy2XMjzvN\npDGhjp0xXk6xjhs//V8wL/k9hsfryAXv/oVzfOfv/h/aEkWe6bK+bcOK+Z1LzuK7tz/I8vd8nKe+\n+7f0xQFBXOaKD/41AJVSzPmL5un+GO1DmPpmEH6k+V++41X8zl/+C9YPGDTGMHXqNIwRps2cwSVX\nvJg7b7mVrq5u6vUaQRD4uoQAa13bDQCWLEu9EwCCwGD8mG0tBjgecBkHB3d/cchHeC6R6nTgeq+r\nGuDrzrkfisgK4Bsi8l5gI5rxxzn3uIh8A3gczd9+0B2rCoPfdhh9k7j+KTDzNECQJ+9C6hq1Uu1h\n+64ag4MlnKj7SdC8RwKEE6qMGEeXy3FBoCOpcrVd5YE2qe4KdKTK0zWhcs5C8tRBY5xseAyCgGzn\nPrJ9I5TOXEDY36sNlc49ncbPH8E9uopo6SJMdxc/3a21BFNLPklmNarEemJN6oRxBentghTKC7sI\nTMc8EAswvZ896zfSH0GpolJFl1EJIDYwsn4D3/rb65BqNyC4uII7/VKwOfLkCj1SK6veNRE3fYE2\npfkNUaqE4ByvveZNAFTLJZaffToTerXcljz1mTa/5McnmjKrRn4HQs6ub/8d57z/r9iyu9MU+nUv\nPo9vfOIDBNJKZJX0OWK0ssqmQInv/N0fIee+i6HRcQZe/AGmT5rA8GiNmi+/Xfmlj3vhTjQ6zVsE\nCCqSw9iYNpfZm+S8c/lpdJUrjA3M5tVXXcqT6zbwmHO85i1v5Ov/98vtDlXWOi8BaAcrdT9AluWd\nOVxR7Gdf2SPdYfGooqioOpHxoRWaUS5F6lVddw+Sp5A0cb0DuNlnI6Hlv33gYmq5tgkYz6CWazf/\nzMEjP7yX8sAEJi1ZQOb8dBHfvu9lU71U4HMht+6FXbVORl6tA46hux4jHxtnwuXntx1AGBh74DHy\n0Rqmv5vqmafiXNhOeLtME95hACMrHsWN1Zh85fkY0WrZ0OhKufU9AiLJeOqm+znnlecTC/T6JjDO\nwS1rdrLpH/8RMYE6E9IMd9ZVgMM89CPaVUoAeYYdmAWDi9TN8H9+szLVj/3VZ1hwxiIQ4Y2veDGB\neUbkWxuBW77UMeFHJd+x2qmty6ad9n+hUdIMfSIqjDioVtcEncx/UtfXIwHYjHpmed/Hv8hXb1xx\n0Om/94kP8spli30GLdNG2GnqCx68xQrDvpFRahYGJ0+EZs0XGAgMzIALXsfwyBg/un0F5Tjmlh/e\nyNiofmgnzWa70Ze1rl1FlWUZzgnVapkk0Q+twAR8+cu/rLLq2HNEUaZ6aFdxjM9/hPFfH4Txmno/\n16zAjO0HY3BxFbfgQkibmJW3cPUbr+L8qy9iJFUireVaTDWewuant7N55QaCcsypL1lK3Ut/Myqw\nuEeLovwqkVIA39yi7hzjV9EAgUvZcftD9Jx2En2Dk0mzAxw7zQb77ltNPt7AWkf/FRdiMi8rlPX5\nbniYvQ8+ycyXLFNuQSNUg2b2S4E+DgWqEQwn0MjUvvXgbkhykG9+Dtm9CwKD652Em70EnMM8elOn\n7V+ety1FrtKDW/QilTA+s/yQb/1ffvIznLrodEpRxGteeukv32nbU3D393S6gPisf5YqYYrzjVMC\nT7ai28LAj3hpFQSg/tPMN35xfsxK5jVWazUKjsq43JLZnDy1lEsl2r8IixKpc9Bs6v+DQH92UPTa\nKp31pbQC9E6Ei68hy3O+d9MdWGv59le+jhjTXtYHQdhOcIngH+eImHbZqwD/9m8nBqkWXapOZNSb\nYAR54i6kPgbGYOMqLLgQQoN5+DbA8eNv3cya7fDOd19E6jRrPurf212nTmdwei9rHtnAhAj6Imjk\nMJppl6fuUN9/DT/1Y3YZ9iaqvRJ7VxIRzam91NasJ5pYJQi71HtuIDVlJr54CbW9o+x59GkmV7yT\nB33fRiEMJZZyLPRHmr8J/fTq2GjD6lKggdxYAl9di4atLYkuAOpjyK7tkCaa1R9cDAGYB36Caxnf\nu/uQVqVSlkBXrxKaPfQ39Re+cQNd5Zhpkydy6fnn/OodN63WyDPL9BqCsJP9j6JOI5U00Uxh2gRT\n0ef4Udo6Ztybg53XUlv+VKwvUdUIVLBEzhEZv9RHVFvJmvqac6uabCtR5bxdKy75HgJBxyfrvMtg\n/25wjjAIuPqS5dx89/289m1v5oZvfYckaRKGUbvMtVVRlbUaXotrl+redutNh3yfj1cUtf8nMloB\nTfcA5Dm2bwrMPx+SOmbFd/XNmlvoHmDdKHz8g3/Nk/c+QlkcfbESaF8IE3u7OPeiRXQZR+wcPQa6\nBR7aByv2wj27YfUYbBjXCHcghi6BbgO9AUwqw/xzF9JVjdh9z6NMKGlvgQmRLtFjDIPT+zj9irP1\nfGXdPsl3khpf9SS9XREDZeiL1X7VvrZYif2GrfAfm+k0YzFo2j/LMZ/7hBJD6MXWzGLu/5Fm++MS\nUulGWmTkrCehpu/8f+i3fUJ3lVIc8aLlZ//6HfdsaU8bwAQdTTSIOjX9mTf8Jg19Ttpsz9EiCElr\nKff86Q2dX3joZ3hH5U4nq7TpiwF80UDb+eC1EeuXGkHYcSLkVom2lfQyXvOJYr1Hue08f/PjAHR1\nVXj5ZRfgnOPFL7sKH+XhnG33VMX3WtWINfA/d2zY8MSh3+jjFEWkeiLD0Y5a7PR5MLgA0iby2J3t\nqMhOmQcTZiMP/Yi8VOFb1/+Ab/7fH/iKmR5OW7qITU8+/f+z997RllzVue9vharae598OrfUyhEJ\nJBAWQSAwyQabYGwMOD/8fD2M03U29/ldcx1xGBdzbV/72dc4ABYmmIxJwgKEZCEkFBEKSN3qnE4+\ne++qVWut98dcVfu01BLdQvZFfXuOoSHpnH12qF01a85vft832b1zP6QW7vTzzmDL+Wfz1Jc+j5VS\nmFsuQBVhNsGiVtMsawUFUwXMvOBSkbV2BMJzUQQEjQx1prvmWg+tHwzP/q5vo1tojJK3nSXFZd/D\n322X1yV5iBAY2Q0ulai3/5FUnTHKH9elYAZN9WWFk4obolaXUlJxxKmNqY0+vqz63o99Fh88L/32\n5zxsNcnDoq5GVZ/NRiuoaSpBNdpBpXT6zkLCNS2YDss7Fpg8a4a9X7ifLVecDjof4THNQbS53EAb\nelsjc238ANAJqyUN6pDnKDqCybfnU4IbrE035AhFAdtvgdMuAkQtdfklT+LmO+5BK9H/i4E1gAge\n8rygrh11PaQoOgyHw+M6xt/qcTKpnsgRokx1xjfKnqe6Qt9+jbSJxsrG0Jlt6Ds/NTLxKHqo2oGx\nLCwPuP4z18sAY8NZxK1noW76F3Z+fRc779/Nv334atZtnOG1v/4TjHXH5eUygfMKI0mzSqb9w6Vl\n9jLBTfvhMMJFPX9K1qEMkaRKLblxsYZ/3ZUUrwbOmzLYValsBwr6Ndw9x8hrwKz5bwIc3A/33Aer\nSQoZvbSzxkoFZ02iL1VCqTrv26D2xAP3o/fcC0qjhiviIXucmJ5WisnJSbqd4hs/WJE2oSb8NKqk\npkr0B5OqQtIGBJD23JpE0Rgye8EGZi9YL4+LCQbQeuT1EJ3c8bRNPqqNuCCR/HWidDTGLSipmENM\nEJMVsOYAACAASURBVEAiEAcRI7SVbYPjNkqvNXH6qVv4yp338Oofeh3//K5/SkYrNdZaoZglQxmt\nDf1+nzvv+PJxHeNv9TiZVE/kyNJAYXwayhX0bf8KWU7sThK3XQhj06g7rkHG7RDOf27iIkXJhDEm\nTbiC0kHQsPFMmNstCToG5g8t8Be/8PtEpcit5bxvfwF6ZjPnnTnN/P33sjo/z63XfoVhVRO/+/vh\nLKlo9g1hX+PWD7Rm0zWj1Sw9+f09S+l3zbykqbjsmr+tgS98DH3rTWLll3eJFzyPaDTK1yN7u2og\n3NmEMTNYkc/mA6os5clCEEMRox+WMB4t3vfxz4Li0XHUtTG9CRYPrkmCUUDkpsBVKnF8MxK/KiXZ\nlHiVkmSsVYIPkv4/JMVY0RvBCShQCVJQpLtfnT6fFp+FhgFRDROFgxHOK27aieqVIIUsDdQa7HdN\nvPxFz+GDn/oCT3naU7nphi+lqj1ijG6XBTpXYa3lrrtuP+Zj/ESIk0n1RA6TqpOylOSZ50SliRc8\nW36/soRqcDOtUQ/cTDz7mah9dxHHplELB6DoSis8sV5ayYPb24u32RGvlOi666zDHfMF7NrNHf/0\n96P34GuUzVAf/Sfi7EbiM74dzn2SuLI0xWCSmzebVjEIWbZG1AjN75IPCInDikfO4lCiv/Kl1ptF\nVSUxTxzQOhFwlSJ2JmSqpjWxSljjYAHKCnVwR0o4yexZiJXHfLhj2uWU2WP0YF0+kBJi+mwkmahJ\nblShpnWqqUvojQu3tXGkaipHtFSNcY35gsnkBtKsVlEJUyVVpYl91b6eTbADJE+BxJeNofUAEIjA\nS0Wcd6C/KDeeC85+6CeTlSqdnLPOP4dbb7pJDGTSP6LIUkDGVf/418d8fJ8ocXJQdSKHryFE1Ndv\nECOLtBlTprypcgGir4m1I571VAFD992P3nknaukgan43+u7rU0LdIatGyoGYtIQg65yDJ3pPuOj5\n4D3q3i9IZaMN0VVtYiWCWpiDG/4NrrkOvnIX7Lp3NK1vWnjFaNi09rbfXPfVQH5fOcDB4Tn0n79F\nkmGaase8I4OmYR9IK5hDRNUlLXkyBlQMsHgIig7Ru1ELvHw4Wf8dhyY9QlE8ctv/cPpi8z2klrtZ\nhmgN+FQ1ayU4apZJVW3SQKsxVvEuiQiSmYorE7ac9liZTH4XGkghqabS9yPsAyePcxUMV+X4QqJv\nmVSNauHNqoTxRA+dDnS6sO1JR/28L7ji6cQYee6LX4Axds0abNH6f/pTHz72Y/sEipOV6okcQyd+\nqkUXVa4mepBH3fV54lNfhL7/ZmnddLpIozhYqTSskalROkWsBpsTXYmyuVxU1koy7owTL3kRhIC+\n5ROJyJ5DXaOa9hGgKIjTW+CUJ4Gv0Z+7KlVAGXFiivgjPzNq70n/bjyQDeLMdNU74fRL0Dd+WKCM\nYkw4t8mQRPXGxN1pZrOYvcQIxsh0Xyf1UTetINGGGLwkEj03qshiJBbJu+ChhP1HiP/6X38XpRXP\nfOpF7c8Ozi1wzfU3t8O3EIRO1EmJ92Vmki79VI2mY9zpyrEvisQPjSOGwNi4fIc2OUxFT7AZ2juB\nOeoSOmOSZLM80avS5D6mgVWdsNvoR3CBiiPKVtaVx/uEpSrApPekU/JvlGAhwLNfl+CFh0eR5+TW\nMjO7rlVNNdtXIXLeeU/m0KH9x3R8n0hxMqk+Qrz45a8GDMYqggdXDdDWklmDd6HVQH/qI+/jxd/9\nam798r/xtMuvoPaOiFSEMYDxBq9kNW/fDzB1TtGzFEXGsPLMHdhHqGs2bNpCNDlK1cTgMdoyrCoK\na1ma6HDDVVeRZTnOVbzqDb/MB9/+x7zs1a/FuZpc5ezYt4+DD96DqyvOu/hSFg/tZ2las3vBMzNu\nWVyKaKupQ5JABgQ7y7uyFQCIUcPyqrTQDYXGp91IEaiHqKxIF6tURiq3hCddKRjrXZ9PSaEeTa5j\naCk50XSJWy8EN0Tf+ulEz5HXUPOHiat9wQGb7tkA23egrvk49FdR/VViZ1K4pXkBVTJTjinxaAPl\nEKxFaUusPYxNyOcMtbxe0RP+boyyMVQn3LQ7hio66b1qye3WCKZ8DDHwNdaYI1zsO3nGxFiXmalJ\nVlYHdIqcQGRhcZnV/oBbOxt5ptrZJngh6rsRuT8t3pPhlR8JA5J9481vuYaDt+8hVLKIzyJ4rJ3O\nmThrms5Ml2K6y5mvvAiTG/lebC6aXudHdK2skGNkGwPshO8qAJ1uWAkKUFG+401nwXnPgN7U0Q9I\niosvOJvbv/Z1Tj/rTB58YAdVVSZTFc3M7PSxXo5PqDiZVB8SF112OT/+07+E0QafSNVFnjMYDsms\nxTnB54IXq7OXvPJ7yfOM73jVa9BKppwhrYyoa09R5LhKTl7ZOJnhnEMrTeWq5JBeEHxoSdLDspTX\nLXLyLKOqHK9/yavRWlGWFbX3PPeKd2ONTFO10cSktW73tgMx7pQpq5mlrifJMosx4gr0K7cttvSh\ndivncAWmNiaKTz7C3GJIFn9FGmwk/mbDfdp3P5x+gSS0rEjWcokmEwIxRFRmiec8FXCoe64bmSrb\nhHtqhfrnvyP+yBtb3joa2LQNdehA2/bGPIPhcpJuWqKVIU4kJohDMEB1YDtx09kpceiWBhRrUSnF\nEISjGoNAGd3xkQLJWqJJfqpr1oU8Wjzjhc8ilJFep9P+bGJ8jO98/rOO+vjGyDl88R/QTSUa6nQD\nayrmkFr5kFgO6XJNj6/7ch6Ri8wzIlQqt1oxd9t+wblrx7bvOB9TZDK4rKqRzDT5C7RtvdZSraLa\nCl8SfYBnvBLWb0tsAI65gj9z21ZuvPUuzjrvXO792t1MTEwyHA7w3rN+/eZjeo4nWpxMqg+Jwqbq\nicipmzbgfaA/HDI7Oc6e/YcY73VYPzvD3OISnaIgeE/t6/axu/cdoMhzrNWM93r0hyWdPE/zEk+R\nZ9Te0x8MMXoMlKKsHDOT41hrOLywxIbZaSrnJKG6mpnJCbLMErzHGEtZVWil0EbjnGN1ULJueoLl\nlQET4z2yLGNpZbUV1hyam2fjuhlWVvtUriazlj988j5+5x7LysALJloNZfAwPiOJZriKKrppuBEE\nSkjJN5YDVC6u0jF62HB6om+l1jAEYjlM+J1BGd1azpElylbz5hLWChF1+AAxY7Q9IAKZJna7qEFf\n2viqJJoOcdhHdXry/z5KZZ3w21jXqCJN7yFRqirIcqlOFfLZ6iol90rMtsshKsuTofeqDLrqY1un\n4pcDXtf4Y8RgG5Nqznw6bL+JdrofEk0pyyXxeSc0MKXkfRrbDqie/utXcPV/+rBsEogBayxERSSg\ntcUHjw6aYqrTvKhgs65uKVnCJED+3YgQ+iuJ3zqWEi4wuzU9hz4uQYRSivGxrpyvWrO6upL2dEFZ\nlszOrmdu7tCxP+ETIE4m1YfE1+68hRAjmVJ0CnHR6XZyKldz2imbyLIMpTSb1s3SHw4pet1WLaK1\nYtvWzQzLkiKXCme200nekYqqchijZdNkLtjSWK9L7QPGaJyr2TA7LcOk2BXz3hgIQZJ83ilwtSfP\ne8RkChxih8lx2cc+PWVY7cva46nxMVySA27dtAFrLVMT42il+PrO3SgUP/ScTfzFJx5EmUwgum4P\nWalhUVnW3lzaNcc2bwnrTWJVOieadKE24WuUNdLyQ2rxPZB0ptrK82ojLXzRTUohB9d+Hp51pTxP\nCVhQy8tEX6F6E1CugnKSNFHEydk17y1p+ENNTFZyqpFTJoiDMg1hQpp6p3Uian4HKi+EcZTlxOlU\nRR3jKPdLN/wbz37u8yir6tg4qk2c9hTYcbNUij4dk6I7gl0a/LQVBsSEuXbQk6KW0NoQCXhfyyAR\nMMlSb+yMKWhcsJQSLDQzQiMzVriwibPbTvy7DYQjg62B3cDnvnAj3ntW+wMmx8dxdd36q4YY6RQF\nyyur9HpdTtm4nqdefH4LhTzraRfz2etupjc2RvCCKyulyHPLs5/9bD760RNrYHUyqT4k+isrKBSD\nsuTe7TtRWpNnGYtLyxitGR/rgVKs9vsUaS1GjIHa1Zi0NsK5msnxMZZWVul2Cirn0omuqdJaiqpy\nTEyMs//wQjuciSmBaqMxWlNWFZmVr6isqoTZaUKaULuqkg2dxhISb9FozWA4RKHI84zV1QHdXgcN\nbN20AW0N66anODS3wDlbJ2FiPcHkUhnNbAEXieu2EoseammemHdkyJVUOnEywQN1ReiMw/QGuUjr\nQJjZIlVoSxj3Qq6vK8Hh8gKGTniyeQHFGGrxMHFyRvZo+Rp27YJ9B4FEKep2Cd/+atSt1wmTIO/C\n+Cxx42lSDc+eAkVGWL8NVQ5k6DS+nrjxTADCpjNRq4vyd7EmTgo1LGw6A2onfzO1XqhWtVDLwtQW\nGJuWau36/3lM583+vbupa8/C0irj3Q4madqPKa74YbjxKhpjaoyS46fX8FEbrLZZjRKBoOlM9Rgs\nrKDRa14vUtXSxj/jZ56d4IPEeQ1JxZVlMBwmKlvyPAheBla1AyPYeVSRDw3WY3WfEAJ5luFDoKoc\nnU6Bc45eUVCmczGGwAO79qIUPO3JsqkgsxZjNBs2buTB7TtaaMz7wHXXXXdsx+gJFCddqo4SF1z8\nFH78538draRSBMGsdKomiRGfJJtZlhG8F9WI92ilWsw1z3OGZUmeZ+1z1HWNTooSpWRbpTEGV7sW\nE5WNm/I7pRS1rzFpx4/s75Nd6k0iBzlxtTHUrsY5R17klMMSm1liEMxRa81pWzaRZ5btu/cRiPzd\n/eu5bW5Ne6j1GrwUqTB9otQYnTThiZoTo2Ctbs3mTqOTjVyqhiovP+vm6QJOGJ0xLXdU9tyTXFgY\n6cob+lfTxvswIse3S59q+ZlOjx1UkuSbv2neq03vq5s2iq7VvXufaExrHlsmb9M/PTom+tC49LQJ\nJicm6K8IVj0+McFP/uKbed2P/sSxnYpVH+76FJSLibvrRwnVmFGCrZPtnxbu2fLOOW74tU8AUdp9\nreW8tDmzl2zikl953ohzS0zcXifY91pJaoOdhrS11deQ5yyvezLFOZeRWXNMN4n23F3z2BAiH/jk\nNdzxlVv5+t334FwFKKzN+PjH3vsN2v///TnieF2qTvJUjxJfu+M2up0uNrMELydJJFJVlQyGtMZa\ng7UGpWRtBAqsNfgQ0NrQ7XUByPMcrTVV5Vjt99Fap9UUoV0t0Zj5EiEzljzLUFoGTk1SNEYqn9DQ\nnlLyltXBkapyDAdDoaukn8tQqpbXSTeQlX6fECKb1q8j1IEf2rYXsJJ8HHIBDpZHXMXumFSxNu2Z\ndgE6mSTCTFgEyhiKpe0U83ejXIkdzqPdMjqU6ImC8Y7llU+a5LSpnLGOZTLLWNcxnLOpxxkzBc84\nbZyxLGOi8kyWnpdeMMX50xlnr+8wMVmggqdY3J0sQyPa9Zk4eDt65QBKwezCnfRW9qBqh1UrGCUM\nADoF9LpgAgyAqSm5Rm0uySpPN5NOT6rikAY3KPjYbx9zQn3m2TP0ihxfl2RZgdYZqysD3vrbv8Zl\n2zT7dj34jZ8k78Elr4LZs4RHarQkehIjIG3GbSlwyeJv4vR1TG6bpfYC9RhlsNrS2zrJJb/2Qlqf\nVZsnaIeRICCI7V5rxG2NVLBGCaXr9KczceEzyLNjr7qbwmBtVM4RQ+DgPqFPCaZqMKYxbDix4mT7\n/wgxGAzaFbs+pP08QbAjH3wajkrl6MXfTnCiLKOua4zRGKOJKSkXRU5mLYPBEJtZ8epo1DqJjmit\nISSSvkajMkXwgSzJFBVpypsm6tZayrIizyVpGmsIPqCNJvhAIGCNsBhCCGilWVheYWp8HGulslYK\n+PPj9wtdGxdd+UoO7dmJUprZjZtleJxUO0Fb7vr8B4/6d4urQ6bGOkf93RHP/5yXE0NAG6F5NSqu\ng3t24quS9aechjaWmDw6lTZ87YZPUlf//kYdT942gfORTEV0Mo+xWrqMECO2N8srr3wS//b1JfEh\n+EZxznNheAnc+v7EB1WJB5rUENpArCVBeqn4Lv/jl+EW++y7YRfjp02htGH63HXJEjBVo64/wk9D\nJdiqSgMrnclzoqUqRsMFL4KZUx+XY9Qpcqy1FJ0OamkJUBhzYi37WxsnK9VHiLf93m9Imx4ELyUi\n4HzwWGMp8ow8yySRRUlYzZqIPM8py4qqcmitqF3dSvSKohC7s/Q6Wmlc5SirksrJhD1EadW1UqnL\nFXu0sqrwQTiJIQQyaxkb62G0WeNXGXFOuLJ5GpbVtUclHK4qHUsrqxChyC3WWn7vz//+MR+nrede\nQqid8CQzK1CflwSolWawsnrUv3v/52/jO3/tr/jB33vnoz7/3n0HAUSRk5JmjKPEqtI+pESuFWd5\nV3HRFS97zJ/peKKbWzIrnYzzIlMVJEL+24eIzTpceeHssT9pZxIu/zHiGc8VHNoYSYIxjvDPJrEq\nBVVJNtll24vPY+b8jUyfPS2Dv7ocWX3pxH1tqlMaeCfxYrNCXksruOSVj1tCBdixay8+BFaWl2Wo\nFqVIqWt3QibWk0n1EWLX9vul2giBLBOJXbfbkWSX8Lra+xZDisTkvCN4aZ5lFJ2ixV07RcGwrITV\nYi3WGow2hBjJi5xup4sxhkFZoZDk7NJEPYYm0Zp2k6XSSlZUGDNaoJZgCa1k7a9PdKBOUQgWmybC\nC8srhBDYMDsj4oE8Z3xm5riPUXd8mpmN2zA2I/ia2tVkeU5WFFJNA+O97sMunBAiv/MPn2S4ssI9\n2/dxy317HvE1/u7dH8AmOIT0fXjvObh3JyHUaG0w1hKjYNTGZunY/PtfrOsnckx6Xy2WHiO1j2gt\nCTWGSOU8Phje+zdvO/YnVwq2XMCH58/ibnUerDuT1vsQTWsmbfORJh9G/9Z6lHQbqWqq9FueqbWJ\nhxuIJuPG5Vn+ef5M6B3/ufBose+Q7NYa9AcJlrKpS1NUzcaCEyhOJtVHidtv+zJGG5TWFEVOXXtJ\nWGkoo9cA8g3vsEmwtfesrKxS1zWD4YC69lhrGA5LGXKl9rihVzWJWyOVqfgJS4seYySEKG1Uuz9d\n8NVhWeJ9oPaeuva4NAhruIvNv/M8I8uy0UBN6za5o+D73/Azx318tp33DOF9xoixOb52HNz9IKBQ\njRCBQFkduTzvj676DJnVZEWOsYY3vu19fPKGrx71Nf7hPR8iJgPpCMwf3Mv8/j1phqOY2bRFHhhp\nuZBaixjioiu++7g/0/HEWRu7eB/xMeJ9xKZEGkJsBRghrRApXeCj73vHUfT/jxzeB8qypOqth7Ou\nhMt+FJ76g3DqZckWkNHADaSKjWHNEK6WJFv1R6bXDWUrBBjfBBd/D1z2Q9w7+1x2u0kufdK5j/tx\n2rP/ID5BXY04RSlFp9MRCO0Ei2PGVNM21S8Du2KMr1BKzQD/BJwObAe+P8a4mB77JuANiE3Gz8cY\nP/V4v/H/iPhf//0t/OFf/SMdW1BWZZrAq+T/KxdO4xXZ6RQJHggtXpSlaXaWZdRe/CR1UqIITy8j\nBGnrG4A/L3JqV6OjVJ9aaZRhlLATDFBkeavconk/qQoJaaprjSHoKNCDD/J4LW7rS6t9psZ6aKUo\nq4oLzz+6KcajRT7eQUxaNOs2beHwvj342rFwcB9Fr5fMiRXv+dAn+NHXvrL9u3++7qtked7ekOrK\n8Yfvv5aXXH7hEUOOHTv3pHUcEIPn8L5daCMsh8nZDWhjEhFAEY3IKWvnUuLyx05pWhPjhaUOgaE7\nhko3yvmgYqTygZCGxFoLnip77jW1DxSZ5mv33s/2r93CmRfKRoAdew9yaGGJG++4l8o5rrzsYp5y\n7untOWKtIc9y5heXR6+pDWy8ADZeQBwu4d7982n9SoHuTRKW5zBbzyMs7YeoMaeci99zL/YFPyfs\nkcmtiZt7JJZ95z0PoJXmzG1bj/uYPVq4usbXgV07drY/C8FTFAXee5YXFx/X1/tWiOMZVP08snZ6\nMv3/rwOfiTH+oVLq14A3Ab+ulHoSsq76QuBU4DNKqXOfqGuqiyJPLXtG5SpiDUU+SoyVq9BKU5aC\nd2olQ6KGOWCtEOB1UqI0VWbt6lYZBSTea05VVmR5Tgi+3eVjM5sqXRgMS/Isa3HcGBK+qBXBRTqd\ngrm5BSYnx/FpSGZtqoKDbtkLC4vLTI2PccYpW7jvwV2EeGzKobXRDI9qV6G1YXrDJub276G/skR3\nfBybFRibceMtd7ZJ9U/e+zmMguB9K9m1eUa/P+A33v5xfvfHv6t9/tvvuif5pCh80rcrYGJmAzYT\nTiRA7SrBmRMFzWYZvna42nHxla/gjs8/Orl8S8+ybfNEi3OHGJnoFfTGJvn4l+59xL+zRjjDUUEn\nN2gFlQuYVLFao/EhkhmBaryPbH9wFz/4B+/mwOFFiGLUHL1HGcP/+MePoIzhorO28d4/+lWy9L31\nB0cfuKnOJExtgcMPQlUS/JzQ/fbd1xri1F89QPaDf47qrdHZP8QApaECnrFt82O6ET1a3PCVO0Ep\nbrr+hkT5Mq0YJvgTD0+FY2z/lVKnAi8D/teaH78SaCYcfw+8Kv33K4B3xxjrGON24F7g8sfl3f5v\nCF87aeFS1WjS8AolhHyjhRaVZZbMZkQi/eGwTbL9wYB+f0Bd1zIwQqrKMtGzIHFV03pkY0fVV55n\nWCvDpEgUjqsecVtDDERiy1XtdgqsMUxNTRxBvxoOy1bNlRe50MOcEyqoVhR5zlivR6fbPebjct7T\nX4ixFl87dFJIHdy1Q97H2Hh7wdTVkM9d96X277qFTTSwIHTMGKmrCptlnL7pyGHO7731r6iTlZ+x\nlg2btxFjZPHQflSz/4goOGqi5mTJASqiyGxG/RDo4aFhjWLblgkyK5dCQ9OdWxow1bX80mueedS/\n01rjfKD2Ib0XcF7OE0moKi1eSFhwktb/1m+/icPzS2I5GKMM9KzFZLl0HXXN17bv5oJX/yz9Ycnk\neI9e75EZEvn3/B6MTSVyfxD/hdolW0SFeeHPHZlQjxJf+spX8SFwyYWPf+u//9BcgpxqiqKTKIZC\npfLx/+CkCrwV+BWOZOJuijHuB4gx7gM2pp+fAuxc87jd6WdPyPjFH3+9tP1KWrrlNOSp65rxsR4h\nSAtellVLW5oYH2sHJdZaqTgENCDEmChZMYkDhgzLsoURghec1CQ+q8hUZdKPUmRZlvanh/Q3Hu89\n1hhcXbdQglaSqHWicxV5LjQwLaqsPM84vLCI955TN2/Eh8Af/uU7jvm45N0xaufQWri6c/v3YqwY\ntkyt30TekQ0CSksl2wzdfvIVV/CnP/8atDF459DGEFH86vc9l//03UfyQlf6AznutUvYsGdydj1K\naw7v350q19RyJ3aAdw6lNFmeo41pbzhHi2eeO8PTzpgWhoYP+FRNAuRW88Du/YDi+Zec/rC/vWS2\nt4aFID8LCecNQYZVIcT2uUOMZNbQ7S8SlcZkGSYvhM0QAiHJSLW1rYrv0tf+Ajv2HGBlpf+InyGE\nQPaatwqWqjX0xoTLmmXoy1+POevR6XLeB3bu3c8pmzc86uMeS3zm2huJIfLJD32EZj11SIM0rRUr\nKyde6w/HkFSVUt8F7I8x3sKjM3WfkO39sURZuzQEUUdgorX3KcGJG5VKvw8hJMleTER/meRXpchO\n8yxjrNdDpWoqy2x7skGq3tKe5qoS2kntfeLEenndtImywW1jjNS1byvECNS+RmuBJlb7fQbDISFK\nZWWNoT8YiselFaWXP8Z2bGxmU/NGCcFTDfq4Sp57ZuNWXDmUfe6k1lxpSjea8l5+wTau+o0fkqm9\n9/zs917Jy6948hGvsbLaJ/gaYzMaj1djMmyW0ZuYAqVYmj8s9Jy6JniXHiuT/7qq5FhEuOCZ3/mw\nz9DNtXi8eEmkPkRyqxPLQrXJ8KavPsBl5z4cZ3T1CsaoVnjWDKR0kgrLdxgYOjkOVstj55dXyEJJ\nXQ6lVa8dyth0c1B4J5W1r0qUgj949ydY6Q8fNuDatfcAX7zpNj74yc9z364DmBf9QhpGBaj6ZD/w\np9waz+Bfr7/5Ub/LD3ziGpSCb3vKhY/6uOONnXv2c3h+kQP797O4sCDXSyoAqko6p7n9Bx7X1/xW\niWOpVK8AXqGUuh+4CniBUuodwD6l1CYApdRmoDlCu4Fta/7+1PSzo8Sb1/xzzXG+9f+4+Js/+YO2\nKummFjmkCb5zrp1gmoaykkKkoYpOt4NJDIKQEmYIkjSzXCbyeZa3CTtLFV9jBQi0F5XYB1q0VsIg\niOBrz+LSMiF48jyjdkJv6na6rdpTKUWWhl3GmrYKrr2nck58BYzmh3/y577h8WiGRyRe7vyh/Wht\nmdmwmdqVLa4JkOUFSsFHP3nNEc/xwS/eKYlXaz5+/Z0Pe42PfuoamfjHgFJaMGkgywp647Id1btK\nBldaC/sgMSWIAWMtuoEnzMOr1Qs2TwijIuHjIULtAzYxJyQUK/0hw6rml77vyCq6OztNCJJIKxfa\nitl533JUjdZYrcisTsk3otCcka+0Vap3Fb4ayvkQRbjhXYVKA8XgKn7jL69iMKxYHQz5l3+9jvf/\ny79y8x13s3f/IcqwyNaN6zCnX4Z9+ZtR06eS/fg7Ub1p5peWmF9c4kOf/gL7E61pbVx/0x1oo9mw\nbqY99x6P8N7zpVvvwlrLtVdfIwO3PIcEYWVZTlEUXHfDNY/baz5+cQ1H5qXjj294JGOM/yXGeFqM\n8SzgdcBnY4w/DHwE+LH0sB8FPpT++8PA65RSuVLqTOAc4EscNda++ec/pg/wHxFfvfVmqqSph5gm\n/4J/itpJoAFXubZSBeGHZjYTVVSWtbzWkChCwQd8LUqt2oucNIQgCqgkY218AxqOZuPDWVVOhAdB\nLsRut0NmsxarbYZoIMR5k+ABIrhWjBDZf3geUGzbson+ap8LLnn6NzwexeR4Og5C0xmfnkVpHFZH\nIgAAIABJREFURTUcyADNWFxVta5JxmZ86povHvEct9y3G+dqovfct/vgwyqxv37nP2OzTOCBKA5M\n3jtC8PiG2xibYZlgupLsQxIAiDQySzeWh4YxGh9jSoiQGZ04pyTfBdoh2fzyCgCnbphs/9772Fak\nmREyfWY0NpHsg9hz4XyqWCuP95Gq9lxodyeRRFLUpYQWYwSVkmntEiwg3qqv+eW38Jlrb2R1UIJy\n7Bpcz876UzxYXoM2cr7pjWeTvep3UFpuxDcfuIo9/ZuIIXL9zXfwsc9e156b/eGQ7bv3YI3h2591\n2Tf8zo81vA98+NPXEmPkfe94Vxq2kjB9M5Jbf8uS/p/Pv3tSfZR4C/BipdTdwAvT/xNj/CrwHoQp\n8HHgjU/Uyf/a+NrttxBCTF6pJrUzdTu9l8Rp8SGQZ4Jh1l7sAE3yPS3ygtqJ7VlDgSqrkqqq6HY6\nrQOVNVacqozBJwZACB5jDf3+gIWFpZZe1bT/kKrRLCPLMxEBJDFAkYvWulFdNRJapWhtC733dLod\nxrpd/vJzb3/UY7F+8zmY9FxZ0aHTFff95flDqWKLCV+1+FDja8dnv3jkGuJ7dx+i6BToNIh7x2du\nOuL3u/fukxtIen9Cz9JoY1lamAel6E5Moo1ufRJqV7VttEkVfp2GiTZ/6LAnJUGjMUa1NnUNphpi\nFPs8rbh/5z663Q4/+MJL2r+2etQBNFV7g8s23UGIkBlF7SOdXIQexmjh8BOI3mPzQkQgXpROjeG4\n0Pa8uF1pzd0PPMgt9+3k+1727Xzvd76EijlqLybVX7jr43x9353cfN+1DJ14Nvz3D/2qeAGzm3sH\nH6TXyxkMhnz409eya98BPv7Z61AoXvHi5x7D2X9sMRgOed/Hr2YwLLn26mvI84JOMu02qQPodDpp\nJvHoA8QnchxXUo0xfi7G+Ir033MxxhfFGM+PMb4kxriw5nG/H2M8J8Z44ROVo/rQ+Os/+f1kdSZ3\n3oasX1YVxhiyzLatellVgs0pReVq+oMBtfeUZSktd+1TxRnodrt0u3LiNR4BzYXasAOcE7zTuZoi\nz+l2O4mjqnF1TZYJfhsV7X51rXXCXQEkaeSZTUMs8dxsXLD6w5LMGnpJQtu/b+xRj0VTQXV6Y1JN\nFx26E1NoYxmsLCdZrTATYvJM6OWjxW/L/SGurPB1jUtbDt77+TtGzx9leh6biy+xL4hRquFahlHd\nsfGWkyvVj08y3nTTCgGTXK0ueMZL2ue/YMt4O2BSSVLqQ0BpRZ6NKtYIrWIqhIC1o8slJpOsRkWl\nIDFE5Pc+RGn7kbY/Etsb8GBQMubS5oV0c9SJLgYIdGFMoh/JsE8Zyz/8yxdaE+z//Iq3cNFpsljv\nlvuv571f/Gs+ect7+ZMPvYk/+sAvptfT+FDzMy/7HV7ynGfyshdegVJw0213Y43lNd/1wuO4Ah49\n7n3gQT7ymS+SZRk3fO4LLM7Pt9+3dEqWGMWYOs9zhsPycXvtb7U48eQM/45ROictdEpejftTWVVU\nzrUqKmtNW5Eao7FpGKWNJrNi/mysTObLsmxFA9YYxrpdZmcmmZ4YQyGDr6LIGR/robWiKASjbMyy\nY4jUTqAAa0TGKtQvk1qvgHNVO8hSWnBQX3u5QCPMLy7jas+GddMtM8HmR18joo0lLzooLTp7n8yK\nxyam0DajHPZbvFmnylIphckyDh6eB2j5l7XzhNpTDoYCJaT4b3/8FwTvWz4jqf7UxrJwaD/EyNjE\nBMHXCR6I+Fokq8ITFsxaW9tWunHNEO6efSukHE3tZUBltEr0J5I6S6OQCT4Kbrn7AfqDMrX6cOP9\ni5LwokyyfQzUdUgLEFK9nm6sWXJj0kqq1m4n57ROX1a6pPcbkc/Qyp5D4jNXJaF2kmiD5+Lv+en2\nc7zsstfz1LOuwAefpNF5sv4DVzvO3HQBb/q+/0E37wHQ6xS88iVX8rxnXsqrvuPKx0XNFGPk6i9+\nmZvvuAejNe/667/lwP79CTsdUQKbVUIk+Gpy8tF3Wz2R42RSPY646q/+FKOllW9WqSgte9611iwv\nr9DtdsizrJV/ilJKcExf+5by1AyKGvu/GCOXXHAOF517JhedI/8862kXc9nF5wtdKu21cs6JKXVS\nSYk3q5gGu8oln4CQ8F9J+NqYkYVhjOI70NgOGqGLuVrWrIz3emijedXrfvSox2B642lSiaZEJRW3\ntPghJe9Q123b2gCaCsVb/+LvALjhazuIwRODxxayambPvoNpwwF87vqbUMloxhhLlheEGBn2V1oo\nJCu6rXOYyZrKTiq/LC+EWRBCktGGI8QNab6HNdLe12n6v9YEBRXxAYaVsC5qH+h1O/zCa65on8ck\ndZ3RCqLCWqk2G/ZAQyOS+8JINhyBU9Rc+l5qlJFBm0nVqTJSma7OH6RcWUQZQ0h4eO09++fappCp\n3mzqSiyDtPup9rKt9Puf85NH/w4nJx7bBfCQuOXOe3jPR6/m0Nw8u7bv4D3/8C463W6rDmwm/c5V\n0k01vFyteec7js38+4kYJ5PqccRtN90gbkzWUrnRUKpyDudqxsfGKIqCsqxa9/26bnYwSXvYYKDG\naIqiI3xTpXnWpRe1F2JE2kui2KY9/eIL8EmdlSVvy5gSUPPvZmBljFzYAhl4WeuSHLayzKbhSnov\nduTRurwqPqt5lkGE577gJQ8/AMCmMy5MQyNZP91UktpYNpxyOsZmLC/OS6J2lSS0IFs4P/DxqwH4\nyLW3Y6wl73bQiVOaFwXLg5LhsGTPnr3YoiDvFEQkiSqlWV2W6nDdllMJtaPodKldJZBAqvaMGbEl\nYhoKaiVGKzopiZ62RQZTIRnVRAQ/DTFSBwFEG3/oTm5wdeDw/DKRSLEGw0bJZF/4qLS81BCimOIk\nGb5WirqOiYEhngtTXSNtvdaSSLXCFh1Iq5yjF86twCdBqnYtbIgf+80/a9/CeVufTF3Xrcm5HAPD\nU844Ni/YxxK33nUf7/no1dx133ZWl5f52Ps/yG03faU19lFtMZHmDkkgI7RBgYZORB/VJk76qR5n\nLC3MMT4xKRgRktSyIsPXXiqRWvAxq6TFVajW6T8mUmNsmAJGU+TZEYbVzdBCNgsIVoiCXq/DsKzo\n94dkmRXfAC8nZ5YZik6OQqcBgErDtJEhSyMUaAZYjRcBaaiy2k8808nxVhF2ymlnsPvB7Ud8fq1J\nKiqDr6sWalBKE4JP0tFIf3mJojcm1WjCfJtq8ca7d2LznOBrInKDsHnGZ79yD6eOiZKsLksh7xtL\nCJH5fbsI3jM+KeogbTMZuqWB2GiaHBPOKlWRUVbgEQ1v+MOPkec5K/vv4+6rfkWObZRkiI6t1SKp\nTZdFBUEGWUoTfCQ+pAxp1G/OB0z6O6UkuYqqKokJMpNcxRT7Dy8yOzWGQ5Gn1xR63hBtZV/YYFEq\n2d70+uQCpoW3m+Xc+8CDDKuKTp4zPb4+JWu5YcQY6WRdXvq01z7u5/7OPfu5/ubbBSPVms9+/JP0\nV1dbObVU5bp1aiuKgm63lyAoKTzk/DNH8LJPtDhZqR5n/Ldf+qmW9yjc00LwQyNWe0pLEs2zXGSh\nedZyVTObJc/Rxi9VqkatZeAUEiPAp0rHGtFMKhQTyTc1y2Sbqk+VmWqWYaISZ1ZMqV1dU/ua2nmM\n1nQ6RUtlaVziY2ICeC9yVudkvXbzOX7jLW894rPPnnIu2lhslrdVYVUOE0MhYGzG9PpNxBBYWZxr\nOaYgEEGRF+zcvZdhLVVY8AGbi1Vf7Rz37z7Eb/z+2wQfTZ4CkiADtXP42pF3Oq0KSUFrIKO0FgjC\ne3k/0Pp1NitGgpfnm9x6HkbFdlqvtcIkbwapvCXBxjhSSTWetjFGLj9fxAAhRFx6DptgHhlUCRNA\n6FZJ/qpooYbtSal1sT0oA73k3UBSj5UrS2nQB4PleZYO7GH54G76cwdYPrAXrTW337Oj/V6+69t+\noJUsr5vczM9+9+887hr+z3/pFm756r30Ol1uvfEmPvLe97O6soL3dQsnhaaiTl/MYNCncVira4dN\nN8D2xneCxsmk+hgjRGn7K1dhM7Hjy3KpMhS0CiVJfuIlKdWLOA81Jid1XROC577tu1rMrVFL1V4M\nskMMHJxbkMm+MW0L39jcuUoSVETMN0S22hD9tSSo1CJWSbEj3NjGD1Ym+gfmFrDWctopm/G1Z/Uh\nRh5Fr5sqEsFK69rhqrI1iqmGA2yeY7IcpQ2D1RVhO1QuVeA1u/ceAO+xuWBsw9VVGTaFyPZ9h3lg\n+y6Z4vs06LOW1aUFvK8Zm5pJj/XJQzViskyqZleR5R2UMWSFYKo6cUZN4q+GtAnAOYd3yxSZIc+E\noK+U6PSda+wS4xFJFqU4MLeA0ZqnnidJtUkYkIj9a1gDKpH/Uc0mgBHWSmILbDOHxAjGifqrmfYP\nFucItSM4hxus4l1JY8Adg3B7X/0rf8Drfu2PuPbWu/jYje9u308377ZCiccrhmXF3PwiVeV437ve\nzc7tO1KiFCK/dEaWLMvFda0cynFpbnhKtdWpc46yPPE8VNfGyaT6GMJYmbBnNmvJ/XkmEEDtfMsF\nbYyViWJE3RD/fZKgNvp/pTWH5he5/8E9gGppQVlmcd7zxZtul2o4WQ9OTIyTWQMxMhgM2wqhMccW\nzmsydK694I1pGm9NSkbtgExatjzPqdcYY+d5htGGn3vT77Sfu9ebIgRPCDVZ0aHsr9JfXkxDFCEP\n1VXJ1LoNxBDoLy+S5QU2z5P1Z+S33vr/CZbpA1mngzGGarWPzS033HSrYM6JnxojuLJksLqM1pqx\niamWqwpyUyGJMJrE2VSlMvSxcjxrh0KxNL9fYBEU+eQpyQyFRHsCV4eEa9OyA4xJsnoFpZMKf6Ir\nrXbwQ7SSjqIxyolApmXSb4xUrM5HqlrMV4xWLPflRjSZSQusjGkHeoOFQ2iTkffG6c2uZ2rzaYyv\n28TYzHomN29jctOpoBSFitz81ft4w//zVv7hH2s+/dnAoK94yhlHN4D5ZmJuYYkQIx993wdG4hWg\n0+m0LBjv61Z0kueFTP7T9L+ZPWhtWr70iRwn9qf7d4r//KPfy9v+/n1yQqXhQAyxVTiRXIuM0QyG\nQu5vTkBX10yMjVGW5UgRpTTaag4tLLLv4GGRriqVTlZPr9uhPxgIfqkkKVTO0e12ZZuAFh+C0cYA\nWYmdWYuLdbveunFcjzFSJ0kryNCq4VrOLy4xMzXB7PQkBw/Pc8Z557WfuzsxQ11XGJtRO0dvYor+\n8iKD1RUmZtYRg7SwSmmKbo9y0Ofgrh2sP+U0YiK3P7hjB+NPPgc7OcPkpc+it249pG0K9aBk+b5b\n2fuRv6VcOEgIntWlhfTakzQrvCHt6tKamCbdOgklBqsrdMfG06RZQ9QoI1DLwZ33sPmMi4Tm1p2i\nHq7ikzO/MVJZCr9U2vTMyHTfxUD0cHhhmTNP3UQZMs7/np+mv3KA3tc/A1EI/9Zq8LHtVryP1HVs\nZzIyEZeKdlg6ijy1wYkjW62uJGqYxhY9uVEg51PwQd6Xc2RFh+DrRDuLGAV79gbe/f6ad737b/jX\nt5/Ntk3rHrfz/c577gdInhY5i4sLUhV3ezhXUdeubesbY6CGTuWca5V1zUqf2259dD+CJ3qcTKqP\nMZr2XS6e0CqkmkoQSJtMNZ2iSMIBzVivS51AfNGCCwFfJy4nkC7ugEqy1CqpgkySM/rgMdqwurJ6\nxAQ/xihuVoDNLD54MmtbH8thItqL0kowYGtlB7s8LjAoHTNAnhgO3W6Xc8+/EDt9BlU1QGsrSbUq\npWJMAyptDGjTtu2Ts+s5tHeXDKMS5tndsJUz3/i76GSR2AzJtnQ0h11EFRnm7Kdx9i9fhtGar//T\nnzH3yX9Ea0NdOaphSVbkSY6aZLKptUQJybzT7QnVLVGr6toRfaDyFVPrT2n9bDc87RXsvPovMFqJ\nHWGQalK8T+U7jtDq+xUwt7CM94EslkQf8GMbCJHWhKVhAfhm+JW8H8rKMRy6lk8bAtxR7OTSC09n\nq15gHzPU1ZDhygJKazpTsyKvDYHoYyvVFTFDJmwIrVEpGbuyFGWWtYS65sU/9Wae9dQLectP/wCb\nZh/d9u9YYnmlz6GDB9sE2ul0aXx6TaJI1bWs5WkSb4M/N4WD7G0r6XQ63HbbDd/0e/pWjpNJ9THG\nFz/7GZ79/BeMLqZMqkUfpIU2qfpSyBBCQWvP52svA6skW6wTc8AnpRWQcCfZb5XZjDLZA1auEjNr\nV7WmK8066ibRi+tVJNSemJgAdaJUNdxWl1rZvMgwMeLqmm5HKF7WmGTqYimHJWdc8hz27j1Abru4\nSt6XyUQcoLWmGg5QCM6stUpYpGZ241YO7tnB0uEDbHjKMzj3p34LH8DqyDueOykcz4cMVGKEHas1\nP3P9Cme/9o2c+j0/xfVvuBylNCu1eC/IgCunKLp0xyfwtRNaQoziZqVHZtwxiqoL4NCue9l01qUA\nDJcOSTdhNWUllWqeCT0qxoZiRTvIslpROtpKPMRAcAFtrSSaTFPVnuWVIcEHytKNErKS/Xvp0BCA\nr961h8ufcg7BK1w5oFxdRhtDd3q9PKauWxNuZbMWiyVGuWlkWbvKRhtDXQ3FXMaKguy6m+7g+f/3\n/8v/9aoX8qs/8ioea6z2B/gQuOXLN6/BRkOiT6VdbXWddk7F9obX7GtzCRKQoRUMh4PH/F6eKHES\nU32M8Y9/82dUzrGy2k/a/lo0+yot4UsMAaFN5S1AL4R70xqplJWThXxa1mGLG35NkWdYI8bXPun+\nlZKWfjgs6RSFJNLMtv9udPB1IoCHRPQPXtgAKl3hqlEoKcVwWBIiFKnK0Fqxa99BYoQNs1Pkecbz\nr7yixYdtItW7cgAxYrNcKs8o2vu2GvNCpQohMH7+pZz/xt8iBnj7cyZ415VTUpkfZUKtFJwxbvno\ni6f5zUvHsFbxrD/5MBPTsxSdLjqZw3jn6K8sMndgLwd27+Dg7gdZPHwQVw5FIGHF1CWG2A5Llg7v\naf0Q1j3pRYKTVh6lpdtQyIReK2n7G+OmxIQjtwaduhOpjhVLk2dx8OAi23cdZv/+BVZXh6z0K/EA\nABqz8YmJDtPTY8zOTrBpwxRnnj2LMZpT9LwMpnxNZ3IGm0sH03A6bFG02HGTNE2ei2rM+5btGX1I\n2HkgpoRcVyVv/8CnecYP/ypf37n3MZ3new/MoZRicX6+/Zm1ljwvqKqSxr1NbuhQlsMWZ5UKtUiY\nfbHGrerEjpNJ9ZuIuhIcsz8YtOYokZic+mUiToTKNQ49ph1stJP+JC8VdyrheJpkptK0TiaZMTee\nArYVEIzsAYMPIy/VhDs27ACdKk9f+1QZ1y31S6ESNkfbsg3KEmM062emQSmmpibbzayNM05eCPG+\n0xtDAeWgn5b9ScUodnyG9Zu28uSf+wMqD+983iTj2bGfck+ezThl3JDNbqU3u4HuxCTT6zcys3kr\nMxs3Mzm7gaI7RrOu2lUlc/v34spBaj0zRlJXsUhsTFBMZ5wYPdYIztfY87WR6FSmndiD8yJD9Urh\nG3/YrU9up/kRmJzoMj09xsYNU2zZPM2mTdNMT48zMzXG+FiHTiejyG3rgrVrKRCDp+hNCGtCKbKi\nI0nUWuqqwg0HNEPAmDi4Sul2AOidGyXfRP8KvjHuCSwsr/Kyn/1t3vbOD3G8cd/2B1GsYaQkHvRw\nOEx6/pjOwyA85YgMX9NMoDk/Y4wURYfV/tFXlp9IcTKpfhPxpp/+4TSEUAlLpdWN55lNfqZypTYT\nf9kQEOkUxSipJfyNSKs+aQyjW8lf8EIeTydoI01txAGiVJGqLEJiJwi5v0naTcWj0jpr5K23+Kv3\nktiLPGd5dYCrPWPdLoPhkMu/7VK5UJO5CAqKTpei2wOlWF1eauk1zUoT5xybXvBqnI88fZ3h2gMO\nHyLv3z7knx4Y0bVihMXq6LzFP3vmBBCZeMqzE69X2nmlNFnRYWJ6lg2nnM76Laewfss2ptdvpDs2\nmYZHic5jbVJlxYTBanyA1b5jtV+y2i85NLfCysqAfQeXOXBwkT37F1hYWGX/wSX27ptn5545VlaG\nGK3oWIPJ5TNiO2zaPM2WzTNs3TzD2FiHbiHterNmpcXd40gOq5Ti0NwSh3yPYnyavDdODIGqv5oU\nYnULAWhrE7PB4GsnnUDt5CamhQ3hk99BA3WYTMQVKlHZYgj8+Xv+hee94dfbc/IbRYyRpeVVFubm\nkwdFhyzLca5Mq9LFT7iqqtY0pdk7prWmqsp28l/XMrCaO3RiGlOvjZNJ9ZsInyq8zNrR2pNMJvfD\nVO1lqQUOiX/aROMipbVKXFWhRIVmKVoUeWUIgdX+gOGwZKzXTZWutFFFnslr+9DusdJKp8QaZQFe\n8ICS6lbRPkYnDLZYM1RoNhd4H9h/WEyNJ8e6WGO55CkXtyIBk5K10KtCMnWp0j4pwfxqV0GMbHnJ\na8iU4tQxw7M3ZHx0d0kV4SkzUsV8ZGfJ39434DN7H5m76CLMPuPFCZsWXM9mYnocgshxm00DRW9M\nMNbEndVr/Ae0tokqJV6o8/N9Ds+vsLC4yvJqyeLyAFc5KidtdH9Qpo0L8vf9/pCoEKVWrNK9LDDc\n+nTxAYiyRUAl56oIR/BdY5Q1LVopqjqwsNLH9Ta06jKlNTYv0o1qhD2E2knFWpUJEzeYTFRnvnYo\nBTbLZFdXwj1jCJi8wLtKIIFU4e6fW+as7/oJHtj1jeEAV8t72vHAdpxLrIRkkOK97Fwrmp1giR7Y\ncIOrqsTaDJcEHHleECNcffXHjuMKe2LGyUHVNxlGjVaoGCMDEnGQUlRVtSZxjTapysWukkuUtPMy\nbBqZFWs1GgQUeU6WWYZllXTshtrXbcspSwBl8l9WFXmWiTAhDQlc7Vo1VdPm54lbWZZVy1pYq8JR\nQJ5Jm+qDrI0ZH+uy2h+0iapO9J8YUkWUpvyyGypj/IzzMVnGFRuEL3pgGFiq4LtPzZkpNDcfrDg8\nDJwzYXju5kfG2ryP+OWl9vg1bAJrs/SzkVxUqFaCL9o0RGpCa0PlAlkGKE2RWWogyzUTvQ42MzTO\nUoOho9fNW75v8BE0lKXDaIULSY5ZVdQbL6Taezs6juzsGpu/xkawkat6nxJujMxu2IitZX15Z3yC\n4eoKebeHGw7JOh18VYFWsgUgxJaH66tKTFaSJ4LSI+jCpJuNQrfiido5dJbhy7JNfi/5qd/kZ1//\ncn7uB17+iMf93vt3ohTc97W70dq0WHWezueyLFNhEVDKJimqI8uydC2Uyd/Ct5X2/wlxslL9JuOX\nfuL1oq9nTWseZP1yszrFOSdJUAmOqbVmtd+X1jxVtg2tqpmcgrilV4mWFUND3/Jtm2+tTYwCUVSt\n9gejAZlWR7zP9qJLFXKd3P/FMjDRslLF19Crdu07QCQyNS7bUZ/znGfTbMJEaRlSGUt3fDIN35ys\nUYlSzXa2nIb3kY5WvHhrzr1LNVbBZK45NAzcvuA5c8Jw5eb8Ee01Bj5SGMXKrV9I0lTV8jTXtrGN\nAKLR/ZNuIpL0Q/JckHUpWokZ+PpTNrF54yQb103QKSzWSKJVStHrSZL3PgrFSiv6Q598c+UYBF+j\nk/vS6nkvbfHXJpE2X4FWCp2ocy4ILqsIXD08R7wRchFSECNuKDetUMsiQJMXKG3Iuz2xUWxw0wSB\njL7gtE0i0cyUUgITxNAuSGx/h7Az/uzdH+PS1//SI57bt9wl67mNsa0xe7NfajgcSEUeAlmWU9c1\ny8tLQhVM52en022HhLJr7cTV+6+Nk5Xq4xCNHBGkamym8zqdzFmes7raRyXHqBADY70eMULtalEE\naZNw0yDWfskWsJmu+iCtllaasiqFMhVC25ZpJa1ZYw+YpdZfoeh2OgwGQ0meuhlMjbZ9NlLMytXk\neYbzYgPonCTY6clxllZW2bhxPTOz05y+7RSccxw+fJhTtm5hOCy57+67GZuY4oyzzsDVnv3793Ph\nxU9CL2zH5+N8bucBVmdOpWcVN9+2zAOMoaJFLxzihn2WibEeS6urFHnOzIaNbFs3iQd++YYlMqtZ\nuuXzZHlO8AFXDtukKRe0w9UOEwN1bBgWMixUaJQ2LR6JApcGVuMz6+gf3J34sononzjHJhH/AbJM\n4+rAeWdsFLVXkJuWMtK2hxgJKmNh41MZ23sTgWT9RzLATnh5nmliqmCXT38h0RRpHYxuV7OADKGa\nAaJshxUTG5WSrbT2ebskMCYqWbPzqllh452DIHvCUJAVHYF61txAV0PgpW98M//yP998xDndcLD3\n7NyFGKIEer0eZTl6j9JxmVbqPDk5RWPeE2NkOBxId9BWrCeu3n9tnEyqj0N8eUfJ5Wd2cbUTZ35V\niLsRpsUrO50OZVW2ia+BAXwQvmNMZshEiFqqKlFsCbfVpJM3xJCqzWTUYXSbFDpFQeUafqZUbd2k\n5CJVFUThFbZuQkHMjWXdS95yZyXJRJz3rV1ht9vhtd/3yhb/bXiSCsW3XX5ZMu0WSKFy5zEZ54mL\n8yzP1SyGgN25i8UIe1O6CyEwn5gOUuGHhDNLcrj2jO+g9pGlL32CEJL01GjxYk3Hvhz2yYoO3bFx\n6soRYmin8QAuHXMxKAlJqCGSUZXWa0ciro4pISiaBX0BSQKpcWDT7AwhROb0DFnRwdcOo7LEPlCE\ndefQ761jYsc1BO9Qaf6oFGgjaiqjIsvrnkSY2iLVa5FTl8N2z5a0+g0mTXKoqgl4TDImD75OlarQ\n83RjZhJSK572hWlj0NbiyiEmz6XyNWkZotYiFvCee+7fwat+4ff44Fv/S3tOH55fJMsyvnLDjYLD\na8Ng0G+rUhlIxREkE0mWkJ7GKLt5bFF0khfGyUr1ZBxj/P/tnVuMZMd93n91Tp/Tl7nvZXaXu8sl\nKZEi5ch0SIqyJRkmbJmyY0TWk6IgiSUrAQI4gQQHSET6JVReYhsIHD8kQIzYiuLIlmXKk7m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gcXFzl37hxZv0+lWmF2ZpZWu83y+fOcOHGCUpLQbDbp9/vsW9hHv99jaWmJxUOHwFrKlQpnTp/m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\nL1AvywAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11cea2fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"height, width = (768 , 1024)\n",
"\n",
"blank_image = np.zeros((height, width, 3), np.uint8)\n",
"blank_image[:, 0:width] = (255, 0, 0) # (B, G, R)\n",
"\n",
"x_offset = int((width - img.shape[1])/2)\n",
"y_offset = int((height - img.shape[0])/2)\n",
"\n",
"blank_image[ y_offset:y_offset+img.shape[0], x_offset:x_offset+img.shape[1]] = img\n",
"\n",
"plt.imshow(cv2.cvtColor(blank_image, cv2.COLOR_BGR2RGB))\n",
"plt.show()\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
@2p990i9hpral
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thank you!

@memicalem
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What if you want first to rotate the image and then paste it?

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