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@theref
Created November 2, 2016 09:22
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Colour maps to reproduce Ashlock Fingerprint
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib\n",
"import numpy as np\n",
"import matplotlib as mlp\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from itertools import product\n",
"from multiprocessing import Pool"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Get a list of the colormaps in matplotlib. Ignore the ones that end with\n",
"# '_r' because these are simply reversed versions of ones that don't end\n",
"# with '_r'\n",
"colour_maps = sorted(m for m in mlp.cm.datad if not m.endswith(\"_r\"))\n",
"nmaps = len(colour_maps) + 1"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_coordinates(granularity):\n",
" coordinates = product(np.arange(0, 1, granularity), np.arange(0, 1, granularity))\n",
" return coordinates"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def WinStayLoseShift(coords):\n",
" \"\"\"\n",
" The analytical function for Win-Stay-Lose-Shift (Pavlov) being probed by\n",
" Tit-For-Tat\n",
" \"\"\"\n",
" x, y = coords\n",
" numerator = 3 * x * (x - 1) + y * (x - 1) + 5 * y * (y - 1)\n",
" denominator = (2 * y * (x - 1) + x * (x - 1) + y * (y - 1))\n",
" value = max(numerator / denominator, 0)\n",
" if (x, y) == (0, 0):\n",
" value = 0\n",
" return coords, value"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def analytical_values(granularity, cores):\n",
" coordinates = get_coordinates(granularity)\n",
" p = Pool(cores)\n",
"\n",
" scores = p.map(WinStayLoseShift, coordinates)\n",
" scores.sort()\n",
" xs = set([i[0][0] for i in scores])\n",
" ys = set([i[0][1] for i in scores])\n",
" values = np.array([i[1] for i in scores])\n",
" clean_data = np.array(values).reshape(len(xs), len(ys))\n",
" return clean_data\n",
"\n",
"wsls_values = analytical_values(0.01, 4)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/James/.pyenv/versions/anaconda3-4.1.0/lib/python3.5/site-packages/matplotlib/pyplot.py:516: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n",
" max_open_warning, RuntimeWarning)\n"
]
},
{
"data": {
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FcgPcUTVoNdpOzgeQtasvCmL0G42elw7ctfWvsbu2/HbTO7VGe4y2GZa34DgU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\no82cf540ICMu9Aktf6aipuTILOeiVvy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"text/plain": [
"<matplotlib.figure.Figure at 0x114113c88>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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HIdBWXa+MZMFeDg0WKXMcxvtr33E4XdOOc10TXX0scHi6ZFpC3tLgZMBJXBnz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\ncQkhhOgVunEJIYToFbpxCSGE6BX/H5JJeW7JTXDrAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x103e6dc50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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4j06s8kBG5ozSrBo546Rn1ShNyBvIeMlZNfy1lmbVCI6z77lbD8s0sWTBqQl4\nF48lWT68zBlmftJm7wnuFDXJwDGwGTi6pD/3Le24hBBCYEJ3XEIIISaX/ty3Orpx5bgDmTSWmoDX\nDNNNVg1zbGAFanyRNwcNm2/BcQi0U9crS47swHFoYTWeit2AyHDujTBH8TiJjkPw30ntZNUw68nI\nqlHT45rPi8qahQl4F8clbeRzlVqry19pyEqZCvtkh5erUAghRK+QVCiEEEJSYUAbe1/m4gPKHywy\nt1NOQt7UxLo5c3ThOARaClYeRY7sQGLLSNw6kY7DiMyTmpC3NDh58diGtUXGYcdRl2EHCXgBeDqf\nvR5t1Oqy7TZYmjoXu0TmDCGEEL2iP/ct3biEEEJgDe64YtF2rG+qbBTJYVYcjMreqyD4sVAaYk7B\n0mDlYsehae/CcWjHHYfjMKOOlucay8q5aGjFcRiZg8mhLuYal+Y1LA1OXjyWBAC749q1up95c1xl\n5UAiAVekIBbLY1jbcdzmYK3OcdY5SD66eb8infejZp+NlunPfUuuQiGEEP1CUqEQQohexXF1c+Ma\npxNm2flbCkbtQvKkTkG0VB4lIkX1pjxKSxJbzAHpra3Q5VjsODTtVA4sv1apeQ3rjLx9VHK0AcAs\n/5/7eWDHmWPZVyB4h0keQ5sO0PsdEbganXGCKONTbbEcDJ4aSfqO9Vdpf+5b2nEJIYTAGjRnCCGE\n6DWj3LfGLbKV37i8fXnkjJncUOowYy7DnDegVGKzkk7yOBFXY3Kwcqnj0KwnFqzcPAnpF+nbiuMw\nZz0ZDlQm1Y2DQH5zGcWB6QS8kiBfWg044uxNDQBmQcascrFdD8tPWQVuPCJjEpdh4Ab0jjNtiU7B\nxb5VYxurjtwpPdpxyVUohBCiV0gqFEIIsQbNGTFlqgvsnIlyZCANtSWxuRJGqeMw6NqF4zCyHiaH\nZjnlmuYzfYsdh7a9Hcmzk7yGkcDdLs4j55r7AbdlwcmAlRKbg5MDx6P71MFqQDnuxIYxgxkj33Na\n1iSx5EkgeZKA5ByJsVN6JBVqxyWEEIKHYqwydOMSQgihHRfdilNnUkvBwcF6Gl/4wcmxIck47TgO\nTXtbjsOAxPUwOTRL/rK04TiMjNOC43DxlRvw2kVwcmycds6DXddWgpODOYxTz6tcbJbqzB+UMSFy\neSBdFuYxDC6d810KpUv3PJg7snFpdhj61CNS+L1d+nPfkqtQCCFEv5BUKIQQQlJhJwQqSaEcScbh\njjL4byztbI5FAAAgAElEQVRbT7Hj0A7MPkgZjsOg/gIZpxXHYWScxn6mL3Uc2nG7cOr5fXtVSbnQ\nrcnKobDg5MV24lz03HjNwclhGRMzh1c6xW9rI4+h7RHO0TxOTk6GFStdwujPfatHNy4hhBDdoR2X\nEEKIXjGRdvhYnv5SUvMYxvfezgsixbCSFqQcyuKoZD2tOA4XZ2kcp1iqLBwnK8dh4TgBiY5DoKXy\nKDGZJi1YudhxCLRTSTmQbu0khXIky1WYkeeRBicvNPUDDzJm0iUZJ3ADMlnTBEB7zsW6+fwDVyMJ\nSLZNNJC5S3q045KrUAghRK+QVCiEEKIzc8b8/Dz+9E//FD/+8Y9x8uRJ/MEf/AEuueSSoN/u3bux\ndetWfPCDH4yOOUJZk8YXyJIiUi9WzI2XasDLKYeSU0m5DcdhMGeGdJoqVQLL5Dl0KZTY7HqKZbym\nfqP0nVDHIQ0It5RJjjkVkGsix/HgZHe+iPzofK6qwJ3YMJ85LjxH/7XregwVvuYgY/ecw0Bqs5yV\nCjJmdCQVPvjgg3jlK1+Ju+66Cy+99BLe9a53BTeuvXv34r/+67/wlre8JWlM7biEEEJ0tuO6/PLL\n8Zu/+ZsAgOFwiOlp/7bz7W9/G9/97ndxzTXX4KmnnkoaU8+4hBBCLO64Sv8RNm7ciE2bNuHIkSO4\n8cYbcdNNNy21Pffcc7j77ruxe/du1Bk7vpXfcZXKeGycHBmPSSFEOowGKzcOFJHxXFjpklEkti4q\nObP10CrLI0h1ybkTS9ty1lPqOIzMwVywbZWZSbyOLDgZsEHGZjVMRqPByWY5LMiYzM++58xlaOd3\nq4ywkidBIDU1M5v1OAHJUQW4TTq0w//3f/833v/+9+O3f/u38Y53vGPp5w899BD+53/+B7/3e7+H\n5557Di+//DJe+9rX4l3vehcdb+VvXEIIISaW559/HjfccAN2796Nt771rV7brl27sGvXLgDAl7/8\nZTz99NPRmxagG5cQQgiA7+5H4K//+q9x6NAh7NmzB5/5zGdQVRXe+973Ym5uDrOzs0VjVjURFut9\nVzkvrLxAZDzbl12PmozTNF/KnE19U/ulzNkwP5VqY9eGHexu5Uuvse2bOp/t29Z7bucYJrbF+tLj\nEtty1pMxRyBjsTnmSXK8rGtF2uYLz2PevPZkNNO2QNrc6eft56j52g2tHY+0uXNaqXJogoxZXza/\n29eeR/jr85QGuGDeu6Ejlw5NHsPtz/8QXTH8+NuKjx3c/L9bXEkc7biEEEJ0tuPqAt24hBBC6MZF\ng4XZtYmZr1jf0uDcVMchEHljiePQM5+N4DBjpUuKLyy5HoGjK8fFlrieVe04bGs9zY7DxZ6JQb7F\n5VBMO81rmH6tmOOvNDiZBQPb9ZD0f1l5DCta9dlMTz7X7npYdWSLvRyuOmg/K53SoyS7iuMSQgjR\nKyQVCiGEkFQohBCiZ/RIKmznxjWOZ1Ox502lz7GSn42BP28g8zOdmmZVCB5bsGS9GefRRgaM6DO2\nNjKJtDWHpfRZXUeZTLxnQ/bYxKwakVpZ/nPF5iHpcbQemp9Zg2fHaJ49VvPLf2meIzmfe5aAl61t\nsb25zaujZZfmJQv222wmDe8TuFo2OtpxCSGE6BVrbsclhBCi32jHZaiIjNXUz/bNsap3YZW3zS3N\nH1p6mYzVtBhEZDxLjhzXMGe0xlei5EklrVFkPEYXdvhyGdOTsUrPMVIryxsnR47MOs6V6kwTs+67\n/m+bVSOYsnkc79eMPYwlwCX2ePptMF/e2r0+GUW2grpejgZZ1Tmf67WDdlxCCCEkFQohhOgZa0Iq\nTHbYYQSDV/eOv2THYUBMmnEYpktatI5T6lpZjS8gPQNGjqxKpcOWsnq0lmWjab7M9bTiOIRfjp7W\necs4x+Q6XnZc5nhMl1Vz6mi5U1pXoXXu8Sw8jqvRfnY9pyDPauHJikaq8x2RxJ1I6pEBQLVAvucr\nxZq4cQkhhJgcJBUKIYToFdpxEXKcg56CMQbHXwAJfsxJJMxkTCKPctnIQuQee608SaOjoNpkl+MI\n8l9WsDIZp5X1dHMeVDrOkSPrxhega81J5EsCqd3gZCb/1aY2Fkuky76DQRMJ3g9chmQKTw60X2Wz\ndoaXkNe0eb8u0odcU2jHJYQQgmY0WW3oxiWEEGINSoU5eQRLnYM0iNUcGwtWdnHXGpuj2B5J1pJY\n42vxVXPfYvdZJ25A085cjllS5SjByqlz5PRtow3JctxIjsNkd6CVMUEgEnRhcHJtvg/cZchkd+MG\ndH8/WDnSugzdcdj30/x+8H6VWanU/G5L3d0Ev4K6RDsuIYQQvWLN7biEEEL0mzV/48px9aU6B6Oq\nUaHkyBx/AYXBuR6lgct83HT3WXikv5423IC2vS2pMmOOKbdbW4HLXbkKyZTkHLPec/Y5Z1Illf8M\nXt+y4OSgxIgN5CXuYRocXDW9AGrWN5D8mmVNr19wjrbduR5BXsNVEpC8itGOSwghBP/7dpWhG5cQ\nQogJlQpjAcCM1DyCUVeftwDSVnjcKFWW2Rypgcu56/FoI3DZH6fcDWjGCboyFxuTKnPkuKZ+Zo6s\nsiaWllyF0077PJmu2HEILkcyx2Gi/LfYl5xzC8HJiy8dqY5VMg7GcY6zpYXsFK6sR0qesOrIOcHI\nFi84Obwg3SFXoRBCiF4xkTsuIYQQk8ua2HGlVjW2ZOURdBglALnUuZjl+PMWRxYQ6Zu6ngwZMz1w\nefEnzQtw18LcgHYcS6LjLmcOmtRulMDl1GDlUZyLzTJaqVQZSIep7sDAcciOa8ud2BycTBS/UHX3\nApntgc4c9jgbSOxWpCaVjIPAZWfO4ONIApKDgOz+bHxWDO24hBBCSCoUQgjRM9bcjSuWUItJiakB\nwDkByOECSFsHDsRgyFECeRv6dhC4vDhDC25AICN4OUOaY7IekYZam6MTx6Fpt9/I+TakSuS5Axu7\njhBIzeZ3JbasCsjN30Hq+AtyJfov3TnDvIrOOCM4BxleBZZxxiKviWdcQgghJoc1t+MSQgjRb7Tj\nMjAZry6Uv0odiCtdOiWg0I3HZLzVUDqF5QpMzkdo3yviHCzOeThCUG0rjsPIOO43dD42TvOclRPk\nXAdBzqmBwzFXIVkbu45ERswpgeIdxxx/Nh+iDWR2q5Dbvp6MmB4AHUieRB61ZVdEiHZcQgghJBUK\nIYToGZIKM2hDRgTSA5lLXYSjHNuSA7A4qHeKSGyrrnRKalCx/UHhHDmOv04chxnjFDsO/XED+YvN\nn1wOBdw5WBicnFMCxXMZ5sh4JOjZzuH1pSVPzNoyoord71k1xhLITHpdbaz8jUsIIcSKk5MAaaXR\njUsIIcQa3HGNsp1lt/lUGRFIl+OKZURg7IHMxXNknEehjBm4D21V2dTA1eKgYtO3OOfhCI6/VhyH\nsb5lbjw6p/nWV47kGEjAnqvRjJOT17A0ODmjBErtyYjNgcxBVeXAOeh0bsnhZyU/N3dhZX+XyVUY\nRTsuIYQQyzyXW73oxiWEEKJXWenbKWsyCqnjBIHDGfOnVn+NDjmGfIiuAzAIWix0FZb2pfkYueMv\n2YFYHFRsO2fMwU6flZiwfdn07mfOjllY5Thoo5WTM6RDV7ZiuSvZ9yiYMmOtycHJ/rjWDViRPIJe\nVWGSxzAYl5U8CY5jjkfzmsiBVc5XuUX69Iwr9lEUQgixBqjr8n8pPPHEE9i1a1fw8+985zu47rrr\ncN111+HGG2/EiRMnomNJKhRCCNHpjutv//Zv8cADD+C0004L2nbv3o1Pf/rTOOuss/ClL30Jzz77\nLF796lfT8cZ/48pxCqYeFxuHHZuz52zF8TfCccnOyYzA3ZzKwR04EMO3PNXFB186ZCpiW3O05Wqc\nNnO60lROHkG3zY6ZMw5xDnqSb1Z1ZjK/HWfa+cG80f/InEFwsOcctAHIzI1oxvHkQDOO+9UhJU8q\nU3IlyIfIpGS33/jijzvlnHPOwWc+8xn88R//sffzp59+Glu3bsW9996L733ve7jooouiNy1AUqEQ\nQggs3sBL/8W47LLLMDU1Ffz8Jz/5CR5//HHs2rUL9957L771rW/hsccei46nG5cQQojuH3Itw9at\nW3H22WfjNa95Daanp3HhhRfi4MGD0eN04xJCCNHpjmtpDnOTO+uss3Ds2DH86Ec/AgAcOHAA5557\nbnScbp5xlQqzbWXg6EoYTrXVB7T0/Mt7pNLO8ye+nhHmT3zmRu3XsXpcbD1d1OMqTtYbeY7GEum6\nc9rnP6lWecA8u8p4Huc+UzJrq1l9MJaQl1jceeJe29fMzmpuuW32Y0Ss68FzLFara4F8l62t3ot6\naX4eN84sGuOww/8sg8i+ffswNzeH2dlZ3H777fjgBz8IADj//PPx67/+6/FxansLdKj3XcVWUNbW\nFaXb1ZzjWF/2prMp2Jg5x7G+dm2p444yf+r1MOPUpC1nHO+BN1tr7Dzc9iDGi1yr1DY7rr1unnFj\n2NzGjgP8TPItzRHcuNg4btfguLq5LaOvu56huYm4Ny57gwn6Oq+Hdg7nRmKPG54cOm1m2cE4zhwn\n/WvlHrtgxjn72f+Hrjj0v15ffOzp/+d7La4kjuzwQgghJrQeV1s7rGBfXkjgYV1h3+gkyoiB+pUo\nIwbrYXM2Syj2uGLr/Cg1v1LVQPulHzZ1XGag1GS90+ZD5u1q2OKQnmUjZ44cyc99z5mt3rYxWdVK\nhZ4d3awsMQHvYt/lxwQicqBruWf1wODv3IJr5cwRhJIIANpxCSGEQGicWM3oxiWEEGKNZIen0uEY\nXPatzTGGd8tLnBv5q4bIaD6FMqJdQycyou1g2pITCRtJhzkQSw1/XdX8AjlH+jpjflfWs+8VlQMz\nHIckq0VlxqndcexvltTEwiyrhl1DICs6a2PZMCJPGViyXhA50pvTrs0m/R2UtXVJn5LsasclhBBi\nlDjisaMblxBCiIiJbHUx/hsXk6bGgX1zsiTHxGyYo/zpklw7LCM5bkCi5DdSUHPhWumcZkYWD1Yq\n8XURZEzHtOtpbgoh81OprtBxGLw3zc65oAYb+1y7wzCnol0DkwoHjU0YBnZV4uojQc60VleQVLc5\n6S5zHK60WXq1oh2XEEKINWLOEEIIMTGsvWdcMbmNyT/j3gtPWdkq490apsqKHf3p0oqMCB6s3IaM\nCJiUS7Yxca05+RBLA5kzFM8w5RMZhymMgVMsUY60n13388DyBgK05lay4zDmFHTaK5viiMmRw8T5\nAf+crczrtplxKmccFpwM+LJeTq0ukKBiG5DMPqArJQ/KVSiEEKJXSCoUQgjRL3qkFXZz47KSTure\ndxyBywEZf2YkBxKbSp+ejGe6smhIOwdrayvIuQ0ZEUh3B+bkH2wrH6Jbjj6W4y/ZgVgYgG2bmRzJ\nnJxBORTzmkl+Xlb3DMchkw5Nmysd1izI2GaVJ87BIDjZPRF7HonByYD/NcspeVKROYJ3zu1rfj/a\nMiciRDsuIYQQkgqFEEL0i7WRZNfd6+YEFefIgWOx15TKkxl/ntApCmXFwI3HnHrEfWVJdScyGTPW\nt1RGbC0fojNCJI9gsgORzBHNVejluCNyJJGtgo+jHYcGGbv9zGtXcos5/phz0ZXGWCXlnN8lgRxY\nFpwc5Byk5VHIOERirOz7sdDc1yuPMsanJ9pxCSGE6BeywwshhOgTPVIKO7pxsToBsb4uY8lr6MyR\n8xdHZSQ+9q57klJkP07dgc6cQUAjmYNJhznuxJwg57aCjL35m6fIKhUyIO+5zT9H5qhTpbpYrsIB\nkTXdQ1ngsr1u7P2wkp/nKjSHefIfkR/tsew3CwsqjgU5s7yGqcHJLP8g/K82LY9CSp4E75UNSCZ5\nDUUc7biEEELoGZcQQoh+MZkpn2jF4xGkwVQ5cBz2mqlIO/2TJLEESKnEaOenOReJU9GOa8+JuRMr\nIjFamKuOufHGLSPG4o9TA5mZVBedI3H+nMDlQLok63HJCCrOClYmcqD3cWDHAf71oFIhyesYOP7M\n6zq1zeQYZI5Dpt4H5VFq5/8YG3rGJYQQoleEWWRWL7pxCSGEWCM7rqygYzcwMENWbBpjpXBlvpx3\n2VXuArkxUWKMzc/kv1JZMSePYhfuxFjgbl0oo+XMkRhkzAKZg49KjnPQ/XrkOCft54rlPLTXzoUF\nFecEK3v9zGtXGjPHhd8yv5ZxEfb8aZVj00YlvsYmLHcmyx0n0tCOSwghxBrZcQkhhJgYemQqHFMA\nsisPlgYjjyIVsjlLgxfYeqhTMMNVaF2ONdEwcpyLqbJizeZga7Ntdv5EdyKT+OxrppQxV19bcxTK\niICxIZdKnpaYkzG1jea1tJOQsiJMOnQnMWVN7Fe3Zs7B1OBkuhZfKhyY35CeqTFoa3Y8VkEAstPX\nyMNumZMq+PB0R22/76sY7biEEEJIKhRCCNEvenTfaunGFbPFcLtNc1uO3aY4r2Es6rgBJgizpcTy\nCHp9iaswmJOsh8l4Vu6piRxooyi94wplRSqrRpyLqSVQmHNxlODgFmTEoGtOsLQrMbGSJ3ZO+zFi\nark7TjQAmTj+Uh2HYcSx94pd1mTsZz6QFR2XIzEBB19dIvHllC4JSqCIAO24hBBC6BmXEEKIfrE2\nXIUV2TOXBifbPTMbZ6UDklnQpoUF/DLYJyknOJi5DKlz0a4nR9ZMlBXtOaZWeQa4OzFV/mopALlY\nRrRNOYHM7jixXIVNa4ush+px9reHNyeR/LKMvM3jUJWXBRkHZV2aHZD2Y+w6CYP8AF6OQeMiDAKZ\n68Y2f8Lx/Z6TOUMIIUSvkFQohBCiV/Row5VT1iTD4RfYZIis6PYN8hgyTaUwkHkcsIDf6LGkdInX\nLyPHIZsjZ9wc52KqrBhIioPl+wFcVgxKoDTMZ1+PIQA5LkcS6TQ1H6JpCj5zrDpvaXBybM6mBZgg\n41hAcOM49s1zX05nSJW279DpYEuwELds5TkFI/kQB+TDU7EPlgC04xJCCAE94xJCCNEzhmviGVeO\nxOe+nprifZvmiMl/pe6btmoKsDyCOTCJzZuPBe5GbFulMmOOxEilOle2GcGpmHoetMrzKEHOpC0j\nAJkGGafmQzTfj6AMO/trOseB6K0t4s5rYmC+czaQORXz2amc32bhiK4EHfl+DJulWyYH0pInJCCZ\nPvVQBeRl0Y5LCCGEblxCCCH6RT2KUjRmVHtTCCFEZ9R1jdtuuw3XXHMNrr/+evzoRz/y2h988EG8\n+93vxuzsLL74xS8mjdlNkl1mec9po5kzxmCHj2Vu8PoWJusNxkncr1Od3tp72XMrZiMfwaruzUGe\nTQXJYcmzKXZe7HkYSwBssXMOyByerd62sUwmdk53baaNZkRpGAPLfAW8y2G/g87B9v1wrfPsuBgs\ny0cp5PlomNfZzRaTnjkjmMOt1TW0zxWdNvtxWCCZNFitrjHSlVT48MMP48SJE9i7dy+eeOIJ3HHH\nHdizZ89S+1133YWvfe1r2LBhA6644gpceeWV2LJlCx1TUqEQQojOchUeOHAAF154IQDgvPPOw8GD\nB732N7zhDXjppZeWDEbWaLQcunEJIYToLOXTkSNHvB3U9PQ0hsMhBj91l77+9a/H1VdfjU2bNuGy\nyy7D5s2bo2Om37hGyWrhHstkxWAOJjEWJvIdhXFk5Ejer9ua5kzGLLS451jVA8lv2NzIJDa2NpZk\nlx0bJFxlVnkiI5Xa6pn8Z/va78AwcZyYHOnauBea+wYfB3cOe5yFyYE2W4dL8Z/PvHaXS+V8loOz\nIHIgy6pRzTdLfNHSgvTpiVvXq/9Jdjdv3oyjR48uvXZvWk8++SS+8Y1v4JFHHsGmTZvwh3/4h/iX\nf/kX/MZv/AYdU+YMIYQQqOvyf4wLLrgA3/zmNwEAjz/+OLZv377UtmXLFmzcuBEzMzOoqgrbtm3D\noUOHomuVVCiEEKIzLrvsMjz66KO45pprAAB33HEH9u3bh7m5OczOzuK9730vrr32WszMzODss8/G\nb/3Wb0XHrOq6+X5Z77vq1It16/zGKeeeN23uf/b1wHHc2a3vFGljyXktNhq/aZwcSo/ras+dOu4w\nYtti4xS3Mckxkp2iaZzY+abKeMEc5Di2VjZHTgJg9trKcd78aG4LjiN9WVYNM07NnJt2nAWy1iFZ\n65CszfY94VxXm3HDfX1imNxWnzDjnBw29vVem+Nqp23BtC2c9MdZeJn0ddrmj/vH/fz3foiu+L8b\nzi0+9q3Hv9/iSuJoxyWEEGKN5CoUQggxMayNlE8DIuOVJtllx1kpMMdlmJqpcoxlspcoDZ5g0py9\nVjmfSNaXSZA1mZMFGQfjEDeghboDC52LQeRooqwYHEekQiYrBomEE4OcY8mCWSAxqzHlHmf+Iq/t\nnO5r5kC0X7P55q4BM25y70CPdP7P6nEZN6DpWTPPmjuF+T64LsNqyl9bZQOQWe0ur1/zUtpmbdy4\nhBBCTAxdxXF1gezwQgghekX6jovmGAzqUvuvmazoylpMDoxF9NG8hi3IiF2RMz0L6vX6Zez5s2Q0\nkqswZw2pkmMsZ1upjOeNEXEjMucizWOYGABt+y7Y9bAEeK40FwmkHiRKjkFwcvM5Vjao2A1kDvQ3\nFsg8XPa/i32b5whxvxORPJdN89uXNjiZ5TF02oI8huYJydALQLYyIllqh/RIKZRUKIQQQs+4hBBC\n9Iy1YYf3nIIRx58bgGzlQBqA7PS1cwTrIcm/2NoYLKh5HASSWuJ6cv50ypHRcuZgEuQgcdzoHK5z\nz0rHLQUglzoXUyW+nL5Do5t5cqg9j4y1Eldhsoxo5gjyITpzBL8f3e9ZbA6v3Uq3jS/M9eHfo8oZ\ntw7yGKZJhTaPoT2Pyi2tYt9z9milQ7TjEkII0SvaKpM2DuQqFEII0SsyXIXM8UfkP8CXAoI2V0Yk\nEmMs4JjKei1Jh+O2+9hg1FKyNIBSN6A5boq0ecdl5BgMZLxCydE7D/N5ZHkEc5yDqTkO7bGBdEnk\nUJpHkMiKto26E53/W0mL5RW0Ep/T18qIXiAzC2oG/O+E/c67+QjX28+KtxiQRq+5mvGbvLeHxT+b\nazMwAchuReSBqcjMfrV2SZ92XJIKhRBC6MYlhBCiX/TIm9FWAHJEtnPlwYGRZly3oG3zchWStmCt\ndn/dU6mQwRx/0WNTP6JEbonNT+dIlCOZ/GjbcxyQTJpjxzLJsVRiDNZDJL+c0ilDIivaNi+vJJER\nrVRsHYAsyNntayTHipQ8qQPHHZnflRXnRwhAJn3dtQaOQzc4edpvs3Lg0MtVaGZ33YljzJ+qHZcQ\nQohe0acb1yraQgghhBBx2ilrYp2CzDkYVEdOlApj+RCpjFca0NfSfT1nzlQZL0tByPhbqlRGDJoL\ng5dZwG/OOCASV06V59TyJMw5SF2Nkb61832xc7gOwGB+8z1bWGhuc+XIKdJmHYdTxAEZ9G1BRgT8\nfIhWRvTciUhvC+Q4Vy4lsqF5XTM51lRrdl2G1UnrKnTaxpjMok87LkmFQgghdOMSQgjRLybzxsWC\ng62L0L525cHAcei0VUwqjLkKS3MV9tRVmEOWAzFRKhylrAn7ipS6EZlUF7xtGcHBpQ7ItgKQveBg\n4/ibYnKk7Tud1jfIY7iw/P9jfa1U6I1j2lwH4BSREQHv91AgIzoB6fWC/X3lypjWIU1yHrIg9+D8\nnf/bj42VCk+ceh0EILt5FxSAvCzacQkhhOjVjaunWwghhBBrlQypkAQOW6cgez0wbV4gs5UDE0ue\nBOMw+S8yDjuyFYtPbIzu49fr0voFVHLMGDMndyGbI9kdmCNNRoKFXTxXW4Yb0fYtlRypq5CMYyVH\nVjqFzUHlQDJOIGMmyoiAL8/ZNldGNG21+6jDrtt+JU86/9+AZNxhaisjGqkQM6fWUL1sKyC7iRcU\ngLwckgqFEELoxiWEEKJfTOaNi1U1ttKgDWIcMKmQOA6Zvca89mW8HDlwAvMYWozEk3xWbZVDCbqW\nSY5U4gzGTJQRo45LFhyc6JzMkSNZ30AOdOW3DKmwuOSJPY6sh8mIdpyF+ebj1pm+807fKTuOs1br\n1HPbTHXiOnBMu8kVSBuR8azjsbZS4fyp321Tx/1zXli3MgHIk5lkVwghxMTSpx3XKt4mCCGEECHp\nOy6bf9CVB600OG3Khk45r61UOGgOQK48p2BOrsJItWQ2jt9Imsa4h++SUodhW9JgRsBxcMXbGDdD\nKiyWKmNlTZLlSCYHRubw5EgyDpMKmVPQjhuUQCHOQbfNlQ1tm22387syoh3npDuHecxwsjkHYx04\nF51xgscnaMTGONeOdFlt8A8cONLhYFquwuWQVCiEEEI3LiGEEP1iMm9cVg5ct875/3rT10qFTruR\nCitPKiSuQhsATeVAO05qWZPII79keXC1y4gt+IeyJMaWyqqMO/8h4MlfVc44OQHITceZvoFU6fWN\n5CpMlSNrchwb07YHzkUSgJwqIwK+BDhvZUXn2PkTfts8Oe6kee3Ig9UJKyOe+m7XtqxLRuCwV0nZ\nzDE158xvXY0dMpk3LiGEEBNLn25cchUKIYToFdpxCSGE6NWOK/3GZbNjzDjPraZMJspp/5lX5dnh\n1/l9iR3ez6SRYYfPqblVaocPuq7251otsNLW+Zxx20rkS8dMfK4WvW5pz8Mqmkg3ZodP7WsyPnjP\nozKeowVZNRaW/7+dP3g2Rp6VBc+4yHMs9/XJk36btc6feLm574lT66le9tdWr3MTj6db5YNaXcdO\njTu1Ts+4lkM7LiGEELpxCSGE6BeTeeOaMRb36Y1L/61mNvltVjqccuTBgRkn1Q4fSHHM8m735S3Z\n4ZvmG4mV8Md08BEtlhEtLVnn/Y6kKTLfOCz4qdJljh2erofIiEbGq1rLztHcVnttMamQSI7D+ea2\neUfyC7JqnGx+fdLY6k84r48f95qq447EuN5/7FHPNNcztL9J6pdPXY/pQ1aO7Y4+3bjkKhRCCNEr\nJLYM0PoAAAKzSURBVBUKIYSY0LImmzZ7L6v1p596MXO633faSIWukzAjya63IbS1uphUGDAGV2Hy\nmD0my/GXPGhLw7TkRgy6pvYtlQ1j7anj5kieOVk+2PxEDgzmSJQjA8ehHSdVKjRypNs2NFJh8NqV\nFY1U6EqHL/tSoScdHp/zmqqjR/y+G0+NU8+YpL/O/6cPmbV1SJ+kQu24hBBC6MYlhBCiX3R146rr\nGh/5yEfw5JNPYmZmBrfffjvOOuuspfZHHnkEe/bswfT0NK6++mrMzs5Gx0y+cVWnnen/4LSfd0Y5\nzW+bMkl3PTnQTOm5Aaea2wJypMJC6W4tBBWvZlpzKjJa+rqOtNbENYySLNjrOmY3ZNC3tOYYqOTo\nB3L741TMjUglRxvk7MiIQxvIfMpVWJ/0pUKcPOq/Pnr41Np+8qLf9grzekx0deN6+OGHceLECezd\nuxdPPPEE7rjjDuzZswcAMD8/jzvvvBP3338/1q9fj507d+Ltb387tm3bRsec0IcxQgghVgMHDhzA\nhRdeCAA477zzcPDgwaW2H/zgBzjnnHOwefNmrFu3Djt27MD+/fujY9IdV3XlgyMuWYgR6NOGt09r\nFZ3T1sdhnB+rD9dPdjLukSNHsGXLlqXX09PTGA6HGAwGQdtpp52Gw4cPLzeMh3ZcQgghOmPz5s04\nevSUVPqzm9bP2o4cOeW4PHr0KE4//fRgDItuXEIIITrjggsuwDe/+U0AwOOPP47t27cvtb3uda/D\nM888g0OHDuHEiRPYv38/3vzmN0fHrOqgrKoQQgjRDq6rEADuuOMO/Pu//zvm5uYwOzuLb3zjG7j7\n7rtR1zXe8573YOfOndExdeMSQgjRKyQVCiGE6BW6cQkhhOgVunEJIYToFbpxCSGE6BW6cQkhhOgV\nunEJIYToFbpxCSGE6BX/H4FGZKn8gPmNAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1142c0978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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2IG7sFmyutYK1NsgqdGPEBQBgxAUAKEtJQYs0HZcrnBGwp052dWTxNc0Vmovd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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116db3240>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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uLftlt36yb5bcZas3+FrlXcbV1lpFHS1JEcl61fk03Ub0LcEqr+IrHeaY3zY5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\njYsQQkhUcOMihBASFdy4CCGERMX/A5hmd5Odh65cAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116f155f8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kBZs7dy7Wrl2LhQsXmv3x654QQgiOTFyh/1VnYGAARx99NM4880xEUTxNzL59+zB16tSx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\n6MDcuXOxdu3aal2NYa64or73iQtd+t/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"text/plain": [
"<matplotlib.figure.Figure at 0x11712e128>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ZHh4WEZF2uy1bt26Vo0ePyrZt25zq4h4XACDZPa5HH31Uvvvd74qIyNDQkPT19Ulf3+m9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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1176cc630>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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/1947szZnBCONMXkyZ47UBLwAUJEsHywDB0uca7PuumsIx4lb5dukS1KhdlxC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\ndOMSQgjRKf4/B6qnMOvJsWUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117667cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x117992a58>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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+do0GrPIi8Vk2UNl0ZOkWic+ykZSpoql5IrNqjNdQbW1k1RBxXkz/PddJXVGY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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117be45f8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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3zZgxQ9rb26W1tVWamppk9uzZcubMmdT7SqoQAODMsmXL5OWXX5Y1a9aIiEhf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\nBQCICoELABAVAhcAICr/D6QxEI7Utp3lAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117f3c668>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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cCV23nYMN5Mw/NHv/STsOgfVRHsXDvH6Wk40FwE7CcZjlTk0MTo5MaRaQ/l5l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\nju5ag6rCZq194kB0v8u2rEldsJI4bnB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"text/plain": [
"<matplotlib.figure.Figure at 0x11826f668>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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EtGrFRVchIYSQVtHIigs65WDDsBSCXUnYqVbs/iqVypAb0doq0fYo4RGKHYd+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\nwRsXIYSQVsEbFyGEkFbBGxchhJBW8f8BoZGOd0pi9n0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x118421cf8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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pU9C1WeJUsy6yzvIIsrp1jkM/vl7kt43G18ZWkzyZjMYusdoNOKTtURLveRc7Kad2QK7+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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119286e10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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xDGQ994epppInTJ60P7DufkYZXNWiE5dchUIIIVqFpEIhhBB6xtUIQwXVVssk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\n1B3pOiDtvG7JFdtmXydKjouB+kQkxsX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"text/plain": [
"<matplotlib.figure.Figure at 0x11907bc88>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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f+Z3fwRe+8AVs27YNmzZtwsmTJ1f7zs/P48wzzyydkxcuQgghtZ247rvvvtWf9+zZg9/7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\nYNhmAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1194b70b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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HsXHjRlx//fV461vfih07dpjzZV+4kgKQA+MAW9JxBYSwixCAWxLFmqcpGc/rLB7m5gZE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\nlRGB0QQym+u3ME+2G9AYp8c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LX/4yAOCxxx7DZZdddrZt27Zt2LRpE+bm5lAUBXbs2IET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\neOEihBDSKXjhIoQQ0in+P2nlZ0h2nRNVAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1196ee3c8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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OoSTGUJehdgPG5DE0y6q0SJeCnXniIoQQwo2LEEJIt5jKjWugA4flay+o2L3uoV7ykwfo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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119b34320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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UcuMqPTdgta2yUJKf6fiz8hgm7M909WXWzjIdh9YaCfW4GnEcqnmacBwOx26+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\nAfrak78ed1IpAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119d5bc88>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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QbU+clicwLU8qScu4yjzvyJEj8a1vfQuTJ0/Gzp07MXXqVCxZsgTbt2/Hpz71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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119f86550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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5EgOHWYkR227n8ORIclxMuvbWwz6DwRdEe3RIf9OOSwghhHZcQgghukW1LnZc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\n6M4lVgghhMAwZU3c9INE/gNMALKpluw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"text/plain": [
"<matplotlib.figure.Figure at 0x11a3cd320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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2Ld+qhy15wgKSAznS+Xm0uQp14RJCCNEmWiQVylUohBCiVTRz4kpxDjLHYRMl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\nQgghWoUuXEIIIVqFLlxCCCFaxf8HwW2EkoDxMm0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a3d1fd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ceeaZS/9/9913Y9++fej1erjkkkswNzdXORZ3XIQQQhrdcQ2HQ1x77bXYsGGD9/833ngj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\naRW8cRFCCGkV/x/VoksDB9VkNAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a643f98>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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AdrUwSbEkJdayl9DPp9q1wfVZra8614RQcQEAQFZkVHGNdD0BAAAAH+JssluxwyuSnyYV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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a976b00>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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yUJLdECvdcZCblaZsMHLcR3qpjlkEJ5fLR1jNceiNWdlxCNRTHsVxHAJ+sHJw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\nMwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11adbe3c8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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H6JOf/GTmmA4VkO1dhTJ3YWDkKqwpbenLkcHJciOeJSXaIDfl61E69GUSwcpc5myOxIx5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\nFP8PaUCZpatz4mcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b0f4c50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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PA45D27YNx+G0n43nPW06u+MwqtuC43BaV5J1vY7D3GZK3oS8tcHJItbVZ/pB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\ncOrUKTl69Gj0///8z/8s73v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fm5AcUb1cXW8/JTJeG2W2fDyxcqDvHK1sZ+uuqn5tjsER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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b313160>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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XXLD8+0OHDmH//v2Yn5/Hrl27sLCwkBxLJy4hhBCt3uNaWlrCBz/4QWzevDn4/e23346D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\nNT+omEuH+TKe5zgM3kbznpO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wHDwucBx6l6XyIVYet1e/SnaJrFjbr1b+s8MQ56KVqhqQ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\nlxBCiE6hjUsIIUSn+P9/c//IGDnlogAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b545a90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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rdVk3YHNAstu3fo0u6dPBJVehEEKIXiGpUAghhJ5xjVLmpIv1owOQc/Mo2rF2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\nRK/4/9QqGN4/9k/XAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b772160>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kPS7Xwtw0RcLqCynre1rS2mGZXF9Y/l2SRel8WWbZ8PX+l+t7XvrXyuacde95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\nEUWFHRcREUWFHRcREUWFHRcREUXl/wM2IwH2ZqkczgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c1aeba8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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gumvXasfhZEDrdXtwHE7azQxWJg4v5igLyntxHPo/6SP/36TuOFKzm+DksLx7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\n/x+JEYqg4pNVMAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c4f6470>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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GtTf0TXYcAuHBytmCgyPaQtePWiNPsLYjhyqOv9Dg5OWX+Z2LyS7DmPyDEc7B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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c71dcf8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ERQghBJ0Z/6SSeBNX//79cckllySOL1uW3c7IXoWEEEKaitxPXPIx+SBTpBeb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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c7e45c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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BBbnkOFTzDz1ppcOQkvGHA/r6zTHe1rqev8vQHSe+LcRluCB2MIuL5RfFdu7cufR469at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\nxKZ2Jwrp8LiSEXXOQ33sIN6f66ePqCb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"text/plain": [
"<matplotlib.figure.Figure at 0x11cc70e48>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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HfffdJyIixx133PTfVq1aJatWrUrqhzcuQgghA7qtSQpa/kLuwKJ7Pd0NlvjsjvNlq4Ac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\nQkit4I2LEEJIrfj/bCVeYJOebH0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11ce99710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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FyE3LtsmOy1K2K7W6Gt/H46rKYmXd+Ko6VCCm+n4p8pq3/SzxUTmYNYaLz0TXwk6aCqGq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\ndwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d0c1f98>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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IZVKVasCiKw6jqvL8KJsyVQpmuZ+yTUAu4/uez7RkW1ubvve972ndunVavnx50zVnzpwp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\n0g6Lo0NvV2t25T0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"text/plain": [
"<matplotlib.figure.Figure at 0x11d2ea860>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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4igN1EaOuH9c23aoaecf6iup87OvVzYLEda4q9IUnLgAAAxcAIC4MXBplR3yh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\nAgDq+RnXjBnp6pZZs06YfD1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"text/plain": [
"<matplotlib.figure.Figure at 0x11d62fd30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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LrkIhhBC9QlKhEEIIPeMKcOWwebuJTiQmm5Vuc1Olyhhd1BLrwHEIpAcrlzoO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\n/YfCNzFyPAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11d96bcf8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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KdeISQggRKjXrGJ24hBBCbLwrLnbfqg5WSHetsepytOWe9PFi96ZYzFFcN6Y/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\nqwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11dc99f98>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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F0m+z4nKedg/6sfV4tpgzZ47cdttt8qUvfanlv+/YsUOmT58ud955p7zwwguy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\nUfn/NfNT57Dj8m8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11dfb9b00>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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S3hCSakAPNH+w+0S5Z1ZJvz+2HFhxAQBAVoYLr0IAAMgKVlwAAJDV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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e1e33c8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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