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@xhluca
Created July 24, 2018 04:38
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{
"cells": [
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"from textwrap import dedent\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import datasets\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.linear_model import Lasso, ElasticNet, Ridge, LinearRegression\n",
"from sklearn import tree\n",
"from sklearn.ensemble import AdaBoostRegressor\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"boston = datasets.load_boston()\n",
"\n",
"for n, line in enumerate(boston.DESCR.split(\"\\n\")):\n",
" if \"Attribute Information\" in line:\n",
" ls = boston.DESCR.split(\"\\n\")[n+1:n+15]\n",
"\n",
"feature_desc = [dedent(line.split(f'- {name}')[-1]) for name, line in zip(boston.feature_names, ls)]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Score: 0.7406077428649427\n"
]
},
{
"data": {
"image/png": 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XbWlyUlMvrbcU1caYqlf1aagf4VjO1zX+bQQdLc7JvmOrM4Zg6mnwxB1ONtLk85ai2hhT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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c784ffcb00>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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okhQjn5wXqNilsnT/C2nLeYfatIml+19YeOcQzg9Txrbw+MxjeWXOSTw+89ia\nUCAQUImISKuIfMH9PVRE9i20jzqkpyk3un8KHAv8xpXfDEwputTFELOwJ934NKATkk95vrQTkk9F\nG1bBL4aSn4kgiM08xBdyUnxy0fvIy0WYL84pY1to/dRXmTbgZ+y/81amDfgZrZ/6auUbmxDxr2ZM\nPICHkv9Ga/t89tt5K63t83ko+W+BlGZUYU8ueX40l+e8Q5d3nMslz48uvLPfuEmMIyEU9M4SkauA\nccABwC9xlMEtQEEHZnFGopYDHwB+BLwMbFHVtDF6DeD5BojI+cD5AHvvvXehU9UfPg3lcN7ynIB3\nAz/23F63rinesleKC3Gui296v4evLd3zJ4TX0HqGMNwjHLkjryzVOBk0L2Omwut/g+W/cpS+JOGQ\n6YG8/cLk5tggQxnm4RG1QYYwDCrmyr5uSxtr6f0OSRBPqVqNhBCCID2RTwGTgfcAVHUdBIsrrqop\nVT0UGAEcCfyr12Y++96kquNUddzQoUODnK6+8GkoN4j3gOX6MAOcmaxcCPdckG0Wu+eCYGaxMVPh\na8/C1Vscz57ffdlbCQT8yg1jdpjbPtXT7De3vYrcoHOILH/3yoV0rri1pyHUlLNchANEKWaa1YfN\n8Ly/qw+bUdGot6E8pcKMp9QoQZRIu6oqbmMvIrsUexJV3QL8CTgKGCgi6R7QCGBdsccz8DUxrD5s\nhqfNfW6Hd6MZZIAziwcuh1T2RCxS7Y48KPd93Ukm5fV1VkSU1zBmhzC2+tCU6OAQVf7uqNzGj5j8\nJZ49/Du8wVC6VHiDoTx7+Hc4YvKXKjp7P5SnVAjTX60SZLLhQhH5KU7jfx7wReBnhXYSkaFAh6pu\nEZFm4BM4g+qPAqcBdwBnAfeUWvi6xsc8dMSYqdz31pfY57WFJLWLlCR4bZ+pnPnmNGZug8saFjJc\n3mKdDua6zqksz200C5kI/OJftb3tKIdMk8fhZ8Ok67s3Sc/U/nPbL2nwsqFJ0umpBCSM2SGyaMch\nZnBHNSEtSrfxtSMnccnzo3tMYSMP4AioaNTbMCY4X7NtNU30LTMFlYiq/qeIHAdswxkXmaWqhYPI\nwPuBm91xkQSwUFXvE5HngTtE5DvACsAjv6kRCK8Q2/d9nf1fu8P5LdBAF/u/dge/3gcmvfep/I1m\n2NnumalqNdWzPOl6Fq1Yy4y7nqajS0n284tbVZzdOEw+61ANRRhCzOCOKn/3uq7BPiFiBlc0REze\n2f1hZtEHINS4VYmh72uVguYs1xPrf1V1hqpeCiwRkVGF9lPVlao6VlXHqOqHVPVaV75KVY9U1Q+o\n6umqujNsJYwMlv/KU7z/63fUEznQAAAc8klEQVQV9AoKZLZoHlRSea5e/BwdXc7wV8rvsSvSgyXs\nBK1IXCpDfEFHNSEtqvkpec13dWg2qlaCjIncBWR+OqZcmVGN5PEOmfKniTx+4ibfRjOQ2eKEuZDI\niU2Vu+xRni1tPTGubk0d2yt3NuCYv4qgJidohYhMG1V9o5qfsnZLG5MTS1jSdBGr+k1nSdNF3dkv\nw2RMNMpLkDGRBlXtHklV1faKzzI3SscvYx8UtL8HMlv42Xx/9+XAmQKv6vwiAJ9LPkKSLiTRe/wk\nKFXrLlsh99Mo6uuc76tMe3BCn5r+piQf53sNPZkrR4gTkj3RKcBJdWc2qlaCKJGNIjJZVRcDiMgp\n4OFgbxRFyeHACzGqFV75s//6PPb3UJFtB4+GTf/wltM74u5VnV/kqs4vsseARlbMKhzIr6ZYuTBb\nqW5d7SxDfseEKiYK5XVp8s6s1MfghGS/NHkn8L0+LYvhTxAl8mXgVhH5IU7EqdXAmRUtVcwJEw68\nIG+vKryNj/39pDHDkeUFItv6eRd1+gxtvfUS4ETcnfGbp+lI9dixgkbczUfFlHEY7r2kd69MU47c\ncrsHZnjiraLkRjQUHBNR1ZdV9SjgQOBAVf2oqv6z8kWLLxX19w8RYvuIl2/0jGx7xMs39gj8vIt8\nMwU69ZwytoV5px3Sbc/fY0AjuzQ18LU7n2L8nEdKmjAX2eS7QnS85y+vwxnNpbKjeVhRciMafJWI\niJzh/v+6iHwdJwTJeRnLRolU1N+/gItjG/24eOPJ3g13EM+hYv3wM76w095Q3592KDs6utjS1hGq\n8Y9q8l0o6nBGc6kMOOFaOpP9s2Sdyf4MOKGP4r0ZgcjXE0nPTH+fz59RIhVNQOPl+og4jbUO4fL2\nc7inq9W74Q7iOeSnpBp9Ahl4eFyVq/Gv2mxw4ufCnDDX1GIYM5WGU27M8sBqOOVGG0yvMnyViKr+\n1J0ouE1Vr8n968Myxo6K+vuPmeoEx0v3ACQJ475Ia//fMX7nfBZ39Uw2LOmr3a8RPPkGGHdOznnP\n8fS4KlfjX7XZ4A7/gr/cXFONmJF3YF1VUyIyGahsurc6o6Kzpd1geQ05wfLGtfVjLa29Ns9quIPk\ntM4X1mHM1EBuuuWaee2ELnkmq1dTFdng0tfALwSMuaYGI0SImO79S3WzrpCLdhwJ4p31F9cz607c\nSL4AqvpkxUpVTqo0s2GlXCa3PzCLAR6zzmc0LOSwrv/rnpuRIsGtqWO5adcLejYMGEpiUWo883bO\nZ92ONob3b2ZG6oCiksKUq/GPLHRJECZdX9K8FyODECFiQimgsMqrzgiiRD7q/s8czUonl6p+FG+F\nUetJqXzwm3XeIps4M/lHxL0WDXRxZvKPtO41hPStfHngePbbckf3NgCqsGrgePZ3l8vhnlzOxr9a\nJxtWpetxCCKpT5ggi2EUUJh965AgARg/3hcFMcqD36xzIEs5pJf3fX0h8FMAml/7o+c2za/9sXs5\n36B4MY1KtTb+5aCi84AiILL6hAiyqFtXe387+sizqGCE4DiSz8X3wyLytIi8KyJ/FRGvhFJGlfGj\nxHTPYHl+SFfP/I5hPmlHh2nP5K68g+Il5smIG5V0PV60Yi3j5zzCvjPvL3l+TbFE5UpdKOlYvmvh\nF+TTN/hnJiFyytcj+XoiPwIuBR7DyWx4AzCxLwplBMPLxPD7xNG8t6OzO2/IdvrRzA7fY2Ra+9bp\nEEaIR+ws7Ymd5Tcoftauf4d7f2p2ZAp7n5VqGoqqRxCVK/Ulz4/m/NTHssbxFqY+xk3Pj2bGyPzX\nIqFdnmbshN+k2EwmzMoeEwFzw85DPrWcUNWHVHWnqt4FWI7aKsJvtvbm7R0s7mqltX0+/52awC7s\nICm9TVlePMbYXtF1VR15Gj/35Msa76xYprlaI5/rcZhZ9lH1CKJypR637SFOTz5Gg3QhAg3SxenJ\nxxi37aGC12KDeDdXfvIszA27KPIpkYEicmr6z2PZiIqVCznqnn/jucS07vDY4LxEyQxt8bnkIwWV\nR+bqYxIrPMdEjkms6F72C0fe3Lbe8/jqZdP2qE+czGD55gGFUQRR9QiiymNyRdNdngEYr2i6q+C1\nyJufPQhjpjpZNq/e4vw3BeJLPnPWn4GTfZYV+G2lClUXlOqH7rofDqMNpCc8Nh2wuKuVlCrNjUlH\noVC4654i0f0QDNNNniaAzDER8B4U71yUoEF6ny+lifzeGzF0p5wytoVlr73N7U+sJqVKUoRPH+5c\ns6/d+ZTnPkEUQVSZDaNypd7LJ1j4XmwqeC2OmPwlFm56l/Gv/Zj38xbrGczj+3yVqZO/VNEy1yO+\n77eq+ky7NUITJg2th/vhAGnnsoaFLG5vpWVgMx//4FCnASNBQx5FogqvjZra7b67niG0eLy46xlM\nZnPhZdOf7HOeRCFFFtKdshpdaRetWMvdy9eScm2DKVXuXr6WcfsMCqUIopxcGYU33ZsMYRgbPeWF\nrsWiFWu56pWDaOuY37P+lSRNK9ZG/nzEjSCZDY0yEygNrR8+bobD5S2aG5N8/INDuxswrwyCqs5f\nJwlWjfoM+3/hp93r5nZMZadmmy12apK5HT2NuZ9Nf50O8SyXn7xQfYK4U1ZrFN98JqswpqEoMzlG\n4RU2u/10T0/D2e2nF7wWNRmcs0YJMtnQKDOB0tD64eM7v0GGMPvUg5n34Iscl/ozlzUtZLhs4j36\n06w7SEDWLPXHZx7b3QNJkxBBcuxZgpDIGCjxezmvS0xlTuOCLBv2dm3iB3yGeSXUJ4g7ZW5d1+kQ\nruucyrwHmyL92sxnrw9rGoqiRxCVV9iy3Y5j5ja6PQ3X6WCu65zK8t2O6z633/mrNjhnDLGeSASs\n6xpclDwLnwCIw079HlPGtjBu20PMaVzAiMQmEgK7yg520sTFHV/lAztvYY6c5/vVe2nyTs98Ik4m\nObeMPi/h4q5WZnacm5WHe2bHufQ77DOe26e/bC/eeDJt9OtVnyDulLl1HZFwxofGbXuo4L6VZPdm\n75zzfvJqJ6qv+hkTD+ABjqa1fT777byV1vb5PMDRgXptVRucM4YUVCIiMkBEviUiP3OXR4vIpMoX\nLb78KDHd02z0o8T0wjsXcD/082i5rGFhQfPHcI85Io68Z2Dd7yUUodu1OP3CL+5q5f6Vvb22Ms1Q\n93S1cnn7OazVIWiR7pT5vHeixM8jTqR6TXD5iPKrflJiCUuaLmJVv+ksabqISa4nYiGi8iirR4KY\ns34JLAc+4i6vAe4C7qtUoeJOZ1cXIr3NRp1dASZCQd4osH4eLS2Jt3h8Zv5wZ1vYlUG86yHfhUHu\nb78Bzdwv1TSZedXT5H7ZLu5qZfFOxyng8a8FD8mWz3snSrZ41DktL1fYmL4kKq+wp+6/ie8mf9b9\noTBCNvFd+RnX3d/IlLH5s1FUdXDOmBFEieyvqtNE5LMAqtomuS2gURQXc4en2ehivQP4bqhji88Y\ng6Awd19noW2zp1txwue2Zsr9Xs5LfFxXvSjXl61vXSMOT5Gv0a1FW31UXmHntt/CgETvnua57bcA\nhVMaxTk+WzURZEykXUSacePeisj+wM6Klirm+JuNwn9Be8Ub6qbtbecP7ZmPkTGxb3fe8dwtV55O\nc/vKnJN4fOaxTBnbwkAfe7+XvGz26irNEpjPlFKLtvqovMKGJ94qSm5EQ5CeyFXA74GRInIrMB44\nu5KFMkrnkudHc3jHuc4YiGzKP2M9Zz6GSNJJopSDSHaD6DU34+rJBzHjrqfp6OrxKW5MCFdPPqjX\n8cr2ZTtmKrz+t+zkT4dMj3ySYiFTSqi6R5QsKYqv+q2Ne7JHx5ve8j4tiZGPIKHgHxKRJ4GjcOYz\nX6zqE+7VCES+gdewrN3SxlpaWdzeyqp+0wuGvdata3q28VAguXI/d8/Zpx7MvNMPCWSDLpu9euVC\nePq2nvJpylne+6iqUCRlr3sMZ/fn47qOaXxL/6uX2/h1HdOYHWG5jGyCeGeNB3ao6v3AQOCbIrJP\ngP1GisijIvKCiDwnIhe78kEi8pCIvOT+r7+PCr+EWGVIlJUZO6vgRD+c2b/d7D7Se6MMebncPbNM\nYiduYsqfJhYfOyvfbPcqxsscGIgarW+p3L7jKO5KfYxOTTgTZDXBXamPcfuOo6IumpFBkDGRnwDb\nReQQYAbwGvDrAPt1At9Q1X/F6cVcICIHAjOBh1V1NPCwu1xXdPl0OfzkxZDKmKJ+XefUvLlEVOEP\nnYf0CAKMMfgNAKd7JEW7rqa/rreuxm+sxpd6Sx5UZ/WdnFjiGcV3ckA3X6NvCKJEOlVVgVOA+ar6\nA+B9hXZS1fXpPOyq+g7wAtDiHudmd7Oboaj03LHg1X2meYYjeXWfaaGP3ZIxQJs5ATD3fOCYzyY3\nPNEjGDOVpQdfwxsMpUuFNxjK0oOvyTKV+A0AJ0VK66GE+bqut+RBdVbfyxoXes95aqztKM9xI4gS\neUdErgDOAO4XZ5S1qKm3IjIKGAs8AeylquvBUTTAnj77nC8iy0Rk2caNvYOw1TL7Hz4Bzel1qAj7\nHz4h9LFzPYPSEwD9yPS8WrRiLWcu3YejdvyA/XbeylE7fsCZS/fJ6k34eR6lvLQUhV1X1ecr2k+e\nRZV6Z1WMOqvvcJ/5PsMx76xqIogSmYbj0nuOqr6B05vIGw4pExHZFbgbuERVtwXdT1VvUtVxqjpu\n6NCY5cN6+FoSOQMgCbQstu1Md8wgZKqyIOMdfu6efucr5LqaNSYTQJ5FvSUPqtH6lhq8cb3PM7Ce\nAOGBjD4jiHfWG8D1GcuvE2xMBBFpxFEgt6pqOv/ImyLyflVdLyLvBzYUX+zaRreu9vSa8pMXS9oz\naPycR7onvW32mY1O86Dun0Enwvl5HpXiujq7/XRmewRunN1xOj/Iu6dLntn7cWRRajzzds5n3Y42\nhvdvZkbqgKq2B4cJ3ji3wzuo59yOqfj3rY2+Joh31jsiss392yEiKRHZGmA/AX4OvKCq12esWgyc\n5f4+C7inlILXNBX0zsok0/R0dceZtGv2N0NKGuGEud3Luzc3MjknVtHkxJJAgQNLnZC2bLfjPAM3\nLnMjtRo91GLcrTDefMt9no3l9mxUFUF6IlmD6CIyBTgywLHHA58HnhGRdEyMbwJzgIUicg7wOnB6\nUSU2ApM5J2HxllakA2ZkhNW+gc/Qmhrf/SV7gv4v38r48ktnTfy2NgCfDHS+Yud6OBMP21nc3tot\na25MMtsC5fWiFuNuhQnzMmPiAcy4a0fWs9GYEObZs1FVFJ1PRFUXiUhBt1xVXYJnslUAwo8g1zB+\nGQczU9WWi0zT1j1bWrkn44UE+GtGA3RB122esYou6LoN+HaZS9ZTPrBAeUGoxbhboYM35rYgFrWv\n6ijYZonIqRmLCWAcZTe81BdLB5/CUW/9LmuGuqoj/4j/bqEI0gC1JPwiAFc2QIEFygtGVNF0wxAm\nxM28B1+kI5Xd1HSktKp7XvVIEO+skzP+JgLv4Mz1MErkI8ecSFdOPKouSfKRY06s2DkHDvAJkJgh\nV/F+HPzkRt9SizkywgRvrMWeVz0SZEzkC31RkHpi+wOzGEC2bTtJypFXyNPIZxpHljyh3vlM/OTl\nwiugo31p9mbK2BZaVt/HyCfnsaduZIMMZfVhMzhi7PFRFy0vpfY0a7HnVY8E8c4aISK/E5ENIvKm\niNwtIvGcIttHhMqxXiJb27wTJWXJA8TOKje16HEUGSsXcsQzVzGMjSQEhrGRI565KnissRpjxsQD\nOK3pL1negqc1/aWqe171SBA7xS9x3HKH40w0vNeVGSUSKsd6iQwf2Ozpvpv1VRfBjOio8nfXJHUW\ngHFK8nHmNC5gRGITCYERCcdbcEry8aiLZmQQRIkMVdVfqmqn+/crIGZTyPuWHyWm9wqMuF2bguVY\nL5EbDnyJuTkv5NzGBdxw4Es9G0UwI9rs3kVQZwEYefhaGlI7skQNqR2xVZq1ShAlsklEzhCRpPt3\nBljwmjA8IEd7TqJ6QI6u2DmPePlGmnOC2TVLO0e8fGOWbFFqPON3zmffHbcyfud8FqXGV6xMUMYs\nh/VAnQVgrDulWaMEUSJfBKYCbwDrgdNcmVEiW9s6ugMj7rfzVlrb57O4q9V33KI8Jy38QkYxPlGL\nHkeRUWcBGOtOadYoBZWIqr6uqpNVdaiq7qmqU1T1tb4oXFyJ5Os7wAsZxfhEVPm7a5IaDcDIyoVO\nsrFik47Vm9KsUXxdfEXkRvJMKlTViypSojrACefQOx95Rb++J8zKTq0KgRNOVXp8wiYbFkGtBZwM\nk9I3vT6CnPJGcPLNE1mW8fsa4KoKl6W+6OtwDgFeSPPLN8pOPo+yIMqg1pRmHeKrRFQ1nX0QEbkk\nc9kIR2ThHAq8kGFCVBiGJzY4HnuCxrOwWFllpFrdWm18wig7YQfHSx1PMfqMcgeNNQJQzWYjG58w\nykqAsThfwoynGH2Gb08kMxkVMCYjMdU7rswoEXNrNeqGMB5ldTZDv1bJNybyPr91Rjgiy6GxcqF5\nuhh9T6mD4zaeUhOYOSsi+txsZKYBo9bYfYTznHrJjarBEkXUC2YaMGoNm2xYE5gSqRfMNGDUGrU6\nQ7/OMHNWvWCmAaMWscmGVY/1ROoFMw0YhlEBTInUC2YaMAyjApg5KyqicLc104BhGGXGlEgUmLut\nYRgxwcxZUWDutoZhxARTIlFg7raGYcQEUyJRYGk/DcOICRVTIiLyCxHZICLPZsgGichDIvKS+3+P\nSp2/qjF3W8MwYkIleyK/Ao7Pkc0EHlbV0cDD7nJF8UuEEmmCFHO3NQwjJlTMO0tVHxORUTniU4Bj\n3N83A38CLq9UGQA6SdJEykceIeZuaxhGDOjrMZG9VHU9gPt/T78NReR8EVkmIss2btxY8gkbPRRI\nPrlhGIYRnKodWFfVm1R1nKqOGzp0aNTFMQzDMDzoayXypoi8H8D9v6GPz28YhmGUkb5WIouBs9zf\nZwH39PH5DcMwjDJSSRff24G/AgeIyBoROQeYAxwnIi8Bx7nLhmEYRo1SSe+sz/qsmlCpcxqGYRh9\nS9UOrBuGYRjVjykRwzAMo2RMiRiGYRglY0rEMAzDKJnYK5EupCi5YRiGEZzYK5GET6hFP7lhGIYR\nnNgrEcMwDKNymBIxDMMwSib+SsRv6MOGRAzDMEITfyViGIZhVIz4K5GqTG1oGIYRD2KvRN7WXYuS\nG4ZhGMGJvRIRn7EPP7lhGIYRnNgrkYG86yN/r49LYhiGET9ir0TaGnb3ke/WxyUxDMOIH7FXIrsk\nOouSG4ZhGMGJvRKhw8ds5Sc3DMMwAhN/JWIYhmFUDFMihmEYRsnEX4k0DypObhiGYQQm/krkhLmQ\naMyWJRoduWEYhhGK+CuRMVPhsDNBks6yJJ3lMVOjLZdhGEYMiL8SWbkQnr4NNOUsa8pZXrkw2nIZ\nhmHEgPgrkYevhY62bFlHmyM3DMMwQhF/JbJ1TXFywzAMIzDxVyLNexQnNwzDMAITfyViGIZhVIxI\nlIiIHC8iL4rIP0VkZkVP1ra5OLlhGIYRmD5XIiKSBH4EnAAcCHxWRA6s2Al3H1Gc3DAMwwhMFD2R\nI4F/quoqVW0H7gBOqdjZJsyCxuZsWWOzIzcMwzBCEYUSaQFWZyyvcWVZiMj5IrJMRJZt3Lix9LON\nmQonz4fdRwLi/D95vk02NAzDKAMNEZzTKzGt9hKo3gTcBDBu3Lhe64tizFRTGoZhGBUgip7IGmBk\nxvIIYF0E5TAMwzBCEoUSWQqMFpF9RaQJ+AywOIJyGIZhGCHpc3OWqnaKyL8DDwJJ4Beq+lxfl8Mw\nDMMITxRjIqjq/wD/E8W5DcMwjPJhM9YNwzCMkjElYhiGYZSMKRHDMAyjZEyJGIZhGCVjSsQwDMMo\nGVMihmEYRsnUhxJZuRC+/yG4eqDz3/KrG4ZhlIVI5on0KSsXwr0X9eRZ37raWQaLp2UYhhGS+PdE\nHr62R4Gk6Whz5IZhGEYo4q9Etq4pTm4YhmEEJv5KxDIbGoZhVIz4KxHLbGgYhlEx4q9ELLOhYRhG\nxYi/dxZYZkPDMIwKEf+eiGEYhlExTIkYhmEYJWNKxDAMwygZUyKGYRhGyZgSMQzDMErGlIhhGIZR\nMqZEDMMwjJIxJWIYhmGUjKhq1GUoiIhsBF4rw6GGAJvKcJxaoZ7qW091BatvnClnXfdR1aFlOpYn\nNaFEyoWILFPVcVGXo6+op/rWU13B6htnaq2uZs4yDMMwSsaUiGEYhlEy9aZEboq6AH1MPdW3nuoK\nVt84U1N1rasxEcMwDKO81FtPxDAMwygjpkQMwzCMkqkLJSIix4vIiyLyTxGZGXV5yo2IjBSRR0Xk\nBRF5TkQuduWDROQhEXnJ/b9H1GUtJyKSFJEVInKfu7yviDzh1vdOEWmKuozlQkQGishvROQf7n3+\nSFzvr4h8zX2OnxWR20Wkf5zurYj8QkQ2iMizGTLPeykO8922a6WIHBZdyb2JvRIRkSTwI+AE4EDg\nsyJyYLSlKjudwDdU9V+Bo4AL3DrOBB5W1dHAw+5ynLgYeCFjeS7wfbe+m4FzIilVZfgB8HtV/SBw\nCE69Y3d/RaQFuAgYp6ofApLAZ4jXvf0VcHyOzO9engCMdv/OB37SR2UMTOyVCHAk8E9VXaWq7cAd\nwCkRl6msqOp6VX3S/f0OTgPTglPPm93NbgamRFPC8iMiI4CTgAXusgDHAr9xN4lNfUVkN+BjwM8B\nVLVdVbcQ3/vbADSLSAMwAFhPjO6tqj4GvJ0j9ruXpwC/Voe/AQNF5P19U9Jg1IMSaQFWZyyvcWWx\nRERGAWOBJ4C9VHU9OIoG2DO6kpWdG4DLgC53eTCwRVU73eU43ef9gI3AL13z3QIR2YUY3l9VXQv8\nJ/A6jvLYCiwnvvc2jd+9rPr2qx6UiHjIYunXLCK7AncDl6jqtqjLUylEZBKwQVWXZ4o9No3LfW4A\nDgN+oqpjgfeIgenKC3cs4BRgX2A4sAuOSSeXuNzbQlT9c10PSmQNMDJjeQSwLqKyVAwRacRRILeq\n6m9d8Zvprq/7f0NU5Ssz44HJIvIqjnnyWJyeyUDXBALxus9rgDWq+oS7/BscpRLH+/sJ4BVV3aiq\nHcBvgY8S33ubxu9eVn37VQ9KZCkw2vXuaMIZpFsccZnKijse8HPgBVW9PmPVYuAs9/dZwD19XbZK\noKpXqOoIVR2Fcz8fUdXPAY8Cp7mbxam+bwCrReQAVzQBeJ543t/XgaNEZID7XKfrGst7m4HfvVwM\nnOl6aR0FbE2bvaqFupixLiIn4nypJoFfqOp3Iy5SWRGRVuB/gWfoGSP4Js64yEJgb5yX83RVzR3Q\nq2lE5BjgUlWdJCL74fRMBgErgDNUdWeU5SsXInIojhNBE7AK+ALOR2Ds7q+IXANMw/E6XAGcizMO\nEIt7KyK3A8fghHx/E7gKWITHvXQV6Q9xvLm2A19Q1WVRlNuPulAihmEYRmWoB3OWYRiGUSFMiRiG\nYRglY0rEMAzDKBlTIoZhGEbJmBIxDMMwSsaUiGEEQEQ+JSJP5fx1ichXRERF5MKMbX8oImdHWFzD\n6DNMiRhGAFT1d6p6aPoP+DHO3JwHcWYXX1zL4ckNo1RMiRhGkYjIvwCzgM/jTO7ciBO++6x8+xlG\nHDElYhhF4MYouw1nlvzrGavmAN9w89cYRt1gSsQwiuPbwHOqekemUFVfAf4OTI+kVIYREQ2FNzEM\nA7rjdH0aJ4KuF9/DibD7WF+VyTCixnoihhEAN8/FL4Ez3eyRvVDVf+BEnJ3Ul2UzjCixnohhBOPL\nONnmfuIEVu3m9pztvosTZdYw6gKL4msYhmGUjJmzDMMwjJIxJWIYhmGUjCkRwzAMo2RMiRiGYRgl\nY0rEMAzDKBlTIoZhGEbJmBIxDMMwSub/A1FMIggvmfBUAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c7851a6f28>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ibu8bFWFzdPvAc95nUE595C6N8p+dU4pofEYbivUiSo1ozUc8HKWa0apcJtJb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\nEztdkATAQNUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c7850d4e80>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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MR8S11L/Cu0trozIzK6+Zu2/FzEueZfaynZ4v6+kSp+++VYFRtYeWJDJJ76zo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\nbH2wTqy87lcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c7851a6be0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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y63R4uA0LBIo5MQot2z7N5lgHM2qWZAPWruJrTDpmevZQLTq8cJBdX8ti2t1A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\ngCwIT8Bsor7tncBd4wILEtc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xgoN3XM3H2m9hRWa/0PchE3JE9/rsF4rpUIVnGGN98Jlp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\nZrgYmJkZLgZmZoaLgZmZ4WJgZmbA/wAjLFeKAux+TgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c7852ab080>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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yQuKX3NXaxdTYVvpW7sHuH4cYE3/V8crRRP4TxWNOMfdC9i2CXp3kdMxx3Epk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\nVUUlVXjT7u/z7JizfGcqqe2ZZArPAxY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nInKQ+/5S/14VkUtq3a5yIyKfF5GnReQpEfmB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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c78530ab38>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cg6EpNZRs0076SXPhfiWwJoZi1NQMorZ4NTfJlXzQZCXufIztVrjekadZkSJF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\ny5gZFwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c785334438>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Xv+VLCAAkU4qFq99y3Y+9I7HWzycEAOLJFAtXv6Xdh/WbG/m2KWaflUxHzsdt23tf2tSj\nrlFAQKkptyBQGLnB14vINHPZ/maRDKtYxn66DUVkmoisE5F1W7duLboBjTaVTUfWL3Q/uu2L2Xe+\nbcrV3q6iI+fjtk7KZdbbXa9RQECpKbcgGKeUOh6jSMP3ReTkfBtYKKWWKKXGKKXGDBmSN0Lalbr+\nsZKsX+h+dNsXs+9825SrvV1FR87HbZ2w6KtwdtdrFBBQasoqCJRSjeb/HwMPYZRm/EhEDgAw//+4\nnG2YfsYRhi7fB5GwZAzAuv3EIuGc9SOh/PsWoKEpzt7Wtpy2xCJh12O6Hde+Tb7fuxsdOR+3bb/+\n2RE96hoFBJSasnkNmUXGQ0qp3ebn04G5GKXkLgHmmf8/XK42ABljYEe9hqzlhXgNNSfTCO1VqJvi\nSSIhYUBNhKbmpC/vFbfjWsvz/a6jkj1oJo0axrp/7eDelzaRUoqwCOeNHuarfV7XYsxBAyv2nAMC\nupqyeQ2JyKEYswAwBM4flVI/F5FBGMWsD8So/XmBUmqH17464jXUlYyb93SWgLAY1j/GCzNP7YIW\ndcwrpzOo9PYFBHQn/HoNlW1GoJR6j/bC5vbl24EJ5TpuJVGJhlwvr5xK6GgrvX0BAT2RILK4jFSi\nIbcShZOdSm9fQEBPJBAEZaQSDbmVKJzsVHr7AgJ6IoEgKCOTRg3jxnOPYVj/GIJhG+hqXXclCic7\nld6+gICeSLeoUNadmTTKn8dLqXHzDCrGy6gzqfT2BQT0RMqaa6hUdFevoa4i8LwJCAiAys41FFBm\nelr+oYCAgPISqIZ6ID3J86aSg98CAnoKwYygB9JTPG8sFVdDUxyFkabjugf/xsoNDV3dtICAHkUg\nCHogleh5s3JDA+PmPc0hMx9l3LynfXXmgYorIKBzCFRDPZBK87xxGq+tkb29rTp6koorIKCSCQRB\nN6AYPXlXua3qKDZtRF3/mDZXU1Eqro3L4am5sGsz9BsOE2bByMmF7ycgoAcSqIYqnJ6gJy92ZF8y\nFdfG5fDIlbBrE6CM/x+50lgeEBAQCIJKpyfoyYs1XpcsMvupuZB0CJ1k3FgeEBAQqIYqnZ6gJ59+\nxhHaADc/I/uSqLh2bS5sOYHbakDvIhAEFU4p9ORd3al1ufG633BTLaRZrqFY43ZAQHclEASF0AUG\nxy9+egj3vPgB9kQghejJK6VT61Lj9YRZhk3Arh6KxIzlGoKaCAG9jUAQ+MUyOFqdiWVwhCxhUMrR\n98oNDTywviFLCAj4Lt0I3bRTK7XAtbb1uc+eoI4LCCiEQBD4xcvgaHYopR596zpxBTzz5lbf++h2\nnZpPgVswIyf73r6kbqs9jK5WMwaUh8BryC8+DI6l9vApRSfe7dJNVICHTyVGZlcCPcGVOUBPIAj8\n4mJYtC8v9ei7FJ14t+vUivDwKQfVVe2vxoCaSJDCm57hyhygJxAEfpkwyzAw2nEYHEs9+i5FJ16J\nVdI88SFwy4k16m2KJzPLWpLpTjl2pdPt1IwBvglsBH7xYXC0/OVPSz3HjKrl1Mk2PmQwjUfOAE4t\n+JClcrv067FTEfrfw0+HdXfql3cC3dK43kkEtpOeSyAICiGPwXHSqGEM2/Qnjn7lTmK0AjCMbQz7\n22w4eEBRxs7OcrusFDdT3n68sOUlJhj1utORwMCAyiZQDRWBV0rlse/emhECGbpBOoOK0f92sY2g\n2xnXO5Fup2YM8E0wIyiQvCNn145sE9x0tKHiePvxisuCWTEj4QKjgHPoYAxCMOr1ppKy2gaUjmBG\nUCBuI+dXH11idPRZ4V8Odm0y9N8VmAWzYkbCPozyrpQgy2gw6g3ojYhSHh1XhTBmzBi1bt26rm4G\nAIfMfDSnq58YWsO8yFJqJFHcTvuNgB++3uG2dQTnTAeMkXCXdIL2UX1sgLEsvjP/CP+mo11mE11/\nfQMCugIRWa+UGpNvvbLPCEQkLCIbRORP5vdDROQlEXlbRJaJSLTcbSgluhHyjKrlxQsB6HQfeR0V\nNRIeOdnouM9dAm1xiO/A1wi/QmIQAgK6G51hI7gK+Aewr/l9PnCTUuo+EbkN+C7wm05oR0nQ6ZDr\nZHvHdurQfzvdOG8+8m3Gvntr2e0KFaf/9ZHWI4uO2hcCAnopZZ0RiMhw4ExgqfldMBzq7zdX+R0w\nqZxtKDW6kXNLzVD9yrGBufpuJw79tzOMf/QnT3D0+usr0q5Qdgod4XfEvhAQ0Isp94zgZmAGsI/5\nfRDQpJRqM79vBrRDUBGZBkwDOPDAA8vczMLIGTlvnKtPc/zl+cZnuxdLHq8hpzF6dtXviTnVTl6j\n4p5EoSP8ArOMBgQEGJRNEIjIV4GPlVLrReQL1mLNqlprtVJqCbAEDGNxWRpZKvJ1QAV0RHZ3zYmh\nNQyUPfoVe4Peu8A6AkBBWUYDAgIMyjkjGAdMFJGvAH0wbAQ3A/1FpMqcFQwHGsvYhs6jRB2QPYx/\nRtVyRCc6oSC9d0WkjijGvz8Y4QcEdAplEwRKqeuA6wDMGcGPlVLfEJEVwPnAfcAlwMPlakN3xG6M\nrpNt7iv61HtXROqIjtQYCEb4AQFlpysCyq4FrhGRdzBsBpoMY70XuzG6UQ3u8P4KSh2xcbnhi1/f\n3/i/VAbpCqgxEBAQ4E6nCAKl1LNKqa+an99TSp2glPqUUuoCpVRrvu17E3Y1ztLoxe5xyj47Ud+p\nI0oQletK4N8fEFDRBCkmiqUMo2en6+hde07ANfDb0YmuXXU7W+o/RXp2P7bUf4q1q24HCkgdUc5R\nexfXGCiKcs2OAgIqkCDpXDHodN4Pfx8eu9aIgpUwqJSR2qAA46ZOjdOoBjNcZyuwdaJrV93O0euv\nN9xMBYaylX7rr2ctMP2Mr+YEwJ0f/Stz5QGo39JugC3nqL1A758uN26Xq25yQECFEswIikE3ek4l\nzFQIGEIAClav6NQ4C9om06wcWTgcneiIVxbmxBrEJMGIVxbmBMB9q/ZlIy9S/EOyVEBWTh8npRi1\nj5wMZy0yBCNi/H/WIm2nWhF1cR+7Vjs72vLgT7SpxwMCujvBjKAYChklFxD8pasAtSo9HpKYFc+2\n87EMZuhZv8ja335qqzZCYz9lzCSyAuBuuhZ2teS2sSpmCJhCfPYLwaf3T5dXCNu4vF2gO9hPbcsS\nTtDJRXsCAspEMCMohkJHyT4Fh65GMRjCYHxiEYe23sPnWm7J6VA/liHa/X0sGq8jt7bEd/oetZeT\nLq+L4GETaVSDMp+Dou0BPYlgRlAMh5+OWnenNkxaSx7BYdeJ94tF6BMJsbM5qV1XZ/zddPx0+lk2\nApO4irJp9HRysiB5pW1wjNpXbmhg4bynGfPJE1wXXcH+bEPKHNTVmXVxtbYIF0GplKGms6NrZ1F0\nsJhOQEBHCWYExfD24/6FQB71ilMn3hRP0pJMc/GJB+bMDtwqZY09eAChaAyF0WE1sQ+vj76BsRMv\nM1awe8Ak9kLY2+Zgb9foT57gxshShrIV6YSkd7pZUTkqhLnZIppj+gSCO1StoaazEXYN+y6Acrrt\nBgT4JBAERaD82gh8qFfcdOLPvLnVuz5ApnPvBw9Oozq5CwFEoH+kjbEHD2hfz97RxHcY0iI2EC8V\nkNUuba2FjriV5nHL7Ky6CG7XfUHywpwMps0qypy2KTn7SJWiqFMQbBdQAQSqoSL4iMEMZav2tzQQ\nOvcO31N7L524a30Ap3ujM+wsGTc8X56aq1cDpZMQ7QvX/jNvu1zTXNj361e14dMt03neKzc0MG7e\n0yV1J3W77r/bcwL1Fx2VdT4L9p7HqtYTctYdVgp1VYUG23W5C29ApxLMCIrgxsQFroFehSoLiqoV\nrBtFOonv0AsBizwdjXV8tzQXCoyOfeNy2h7+QZZqo+3hH+hVG0WMfsvlTup53a0KafVN8MPXOe7M\naeVTV1VgsF1FuPAGdCqBICiCdfuexk5qtb8JwIPTDJWNj4hUnU78/OhfeUKucI9qLcVo0S1uwNGu\nBW2TSWuEngDNj82i+bFZVKWy3VGrUi3sfOR6xs17Otvv3s0Qu2sT9TfM1vrou6lwfrT8tQ759Bdi\niyirumrCLAhFspeFIlqbTc71LBMF5acK6BH0LtVQibwzpp9xBL946FvMZYlLrWKz5/QRkWp1JtY0\n/JLal7leLaUq3uK+DzfPnxLS3q4oEl+sXadPfIvr9v0TH7FMXUpd9TYamwdz80Nf4/S+Q81AtmwE\nmJFczI5QglVN41nz0GJOf/wBauJbWJYexILQ5BxDraWfL9an33nd86k/ylnGM6Ug7PG9szPIdrkL\nb0CnI6oUBq8yM2bMGLVu3bqO7SRHr45hFCzSV37lhgZefXQJs5M3u9cMsOg3wlA1+OGmo13cO237\n0J0LAihjvcRe16CorPXrm3w1afOswxgeyrUVbE4baiPdb2kFIdt1aVZRHgudynlVz7mqtTanB7Og\nbbIR+WwTsAlVxW7VhwGyh0Y1mKfSxzEh9Cp1so1GZWyzft/TeGHmqb7Op5Jonv9prXBsjh1AzbVv\nAjBu3tNaV9Vh/WNlOefOPl5A+RCR9UqpMfnW6z2qoRJ7Z0waNYz66+cg/UfkX7kQVY7bSN++D13K\nhnOXQP0uQ1h8eX7+WskF6KCXRi/OSXPRrKIsjV6s/c0pBABqJMFnU+uMdrtQJ9u1XkpRaWNQaA8h\nMYTOlPCTDA9ty3yfF1nKmE+e8H0+lYTbrMq+vLNH6J3lwhtQOfQeQVAu7wxdwXQnfjvdjctxNTc7\n9+EwaGbNarIEBbn7LDB1xHFnTmOWmsbm9GDSSticHsxD6hRmRJYxu+0WWqhme7o285sbdaHtRtv6\n6YVnoxrkXYzHOhuNkLkuusL3+VQSjelBeZcX5VDQATrLhTegcug9NoJCC6F74bQ1HHsRrL+rPdmc\njbSC9Yf9gLF+9vvUXPQlnEVrPPTUb9ujhHW2ETDVUJvbDcfxnVrbibHfK7hw9QSbHeO2jB1joOwm\nLtX8MPE91u17Gn9KXc6A5Ec5Z9ESG0oNaLORNqsoC9omM6NquT7bah72p/BtKsFFcmn0YmYkF2fN\ngqzZVr353V61zqLcI/Ry2kQCKo/eMyPQjdyLSaqmiwR97Y8w+lvEqc5aNa3gD6kvcfXfD/e3b9fZ\niTI8kUwPokLd+1amxjGudRGHtNzDuNZFrH1/Z26QWXwHOZGttuCvSc+ewQtf2cY/551Jfd8HcjyF\nYrRyy5BHeGHmqQw46wbawn2yfm8L96Hmy3MN75c/D+bKvd+mQRkzjEYG8zO5nEfS43kpPMa9GI8H\nHzG4IE+aSnGRbDv6fGYmp2bNtmYmp9J29PmZdUo6Qu+EOgud6eEUUBp6z4ygFIXQNy6Hhy7PHfkn\n4/D248xMfJfpZpbQRjWIBW2Gt4v41eV6egO1d9KvqsuIJ9sDnCaG1jBDllP38HZ4Nvu8dB4ndesX\ngHi0yQpIa4u711zQYQmykZONB8t2rasmzGJlalymLQ2MZ1VruydQLBLmpguPYdKz18IuH9fKfmUU\nRImz5qHFwBW+OsiCs5x2wOPMa+bxzJtbaUiPZ1Ui2ytq2Jv6gMUO0Ql1FiqiRnZAwfQeQQC5qZCt\n0ZGfl9t6iTTqHwB2bWbdvqcxvml8zk++dbm6Ai5OknGmpu/mLgxBMDG0JtvLxvFy6zq8A/yoUXSd\nvb3mgg67mk2TdnrhvKdz2pI5nNUJt3jZbMQ4xuGn07RuOf3UbkQMm8FA9jCXJSx4tIpJo+Z47MOg\nIANsBzrQfB1jY1PcEORVy7O8oB6xPUcl61y9HCZKJAi6PI14QFH0HtWQk0KTfeWL5u03vOPeFjlG\nXj11oe2Zz665gB67FiDT0ayJXsl71RexJnolTS7BcB3CqWbTqCDyebk0NsU9Im1HtBvGv/or9qSr\ntUbjqYm7fTW3IANsBzzO8gVnXWIWCnJ6QV1S+7LvffimE9JZBDEI3ZPeKwgKfbm9XhazEyyJLtfy\nBvJIVrGFQRmB4+plE98Bf7pG29H0JU7CYzLYFu5jJqXLj1KwhSGsPWZOtnFaI2TtnZuOuv4x37Yc\nuzD0s9xJQRHdHehA83WMV8m9OYK8RhJcJffm3ceYT54oTN/fCeksOtvDKaA09F5BUOjL7faySDgr\nKG3SqGG8MPNU/jnvTF6YeWrx02GX46UVzE9Mzggct1xAAKz7LdfJf+d0NNWSoopUJm31HpXt/jkz\nOZW1n5mZ3y0WaFCDObHlFqbz3bODAAAgAElEQVSsPajdKOgiZGdElmkL74Bt5jRysuGFJeZ6Eja+\nO1QXLS7pot2WO/FdwnPj8g51oPk6xn7Jj/W7ti3X7WNiaA3zoncWlr56wiytEb9kVegIYhC6K71X\nEBT6cruNVM+5rTxFRCbMyvFCUgr2qmoG1EQzAmf4+Td6eNkoogm95TWEyqStDqGY0zaFQ1vvYXxi\nEfcnTjI8nc5alPFm2aFqaVXZL7jl8gkOVYWLMK2Jb8l0vtCezz9r5rRxueGFZdliVMr4bu/gNi6n\nhtac87Y8k/xiF9o6T6jMDLEDHmf5Osad6b7a7ezLdfu4NrKcGK369rqwMjVO66G0MjUu73n4JYhB\n6J70LmOxHZ1h1uvl9ut1VKpqUyMn8/r7Ozls/c8YQLtRdB9p5Xp1G2w8KmOQ3fXgNfRnd+HHMKmR\nBDOqlmd5rjQ2xWHkZC788+BMuoF2o2a2V1TWNuAZs5HXPz2fQdNmuM1SnsUGUvXl+cULZdeI7k0w\ncjJr39/JiFcWsp/axscymE3HTGesj2Ply2kUdoZgm9iX6/ZR1+KiAvNQVy1c/RYNiZO4n5Oylv+v\nzpDbgec4iEHofvReQVCMO2meAuxrV93O0a/8tH2k1kH3vLETL6P1bz9HHFUrq1ItWZ4esxPf5KbI\n4py0DpAbhetGnWR3LJY6wh7MtErj5qjbpmAhayefys7NaB/t26GZWVpChFRau3zVhgbWrPuAq1Eg\nira0Ytm6D2gY0eCrw/PqGPuxx9fynH3cVHiApG9Dbie4mQZUFr1XEEDejr0QVm5oYOz6BcTEZbpe\nzHE2Lqc66eJUv2tzZtR2U3Qze9PV1NLq2fErBRIKgabDsxdmt6surM7n6mWvejY1Sw9cqJC1jz4l\npHfRNTs4tWuz1ozuttwvorkm1vJXH13CXGnPNDtctjFX+XdV9Tyuy+xJnB26c4Q+8FC9IDj8dNdj\n+a4H3QlupgGVRe+1EZSYhavfcvXP913a0omXe2JsQMYzJ4Rin1ArCcLsULXuRXMEqIrlGAybVZSF\npq5fp9OdNGoYw/rHctxQJ4bWuG7jmQvJjtPDSCcEbLOJj9Abx92W+6XBJUdSQ3owUxN3az17rk8u\n8uex4xXN68eAq/PC+udf9Md6+3HXZvg25FZo1bSA8lE2QSAifUTkZRF5TUTeEJE55vJDROQlEXlb\nRJaJSDTfviqdlRsaaGiKu3rwFN1J5XvxHKO2aknRrPq4rGxts5eqs2+lOXYAaQyD4YLIFXzxgn/n\nfTdPp43LeTr1LW6JLM5yQ/1lZAkrTtrcMe8oN1WPhNHVVL4xcYE2E+qNiQuKO76JV4ZVNxfdKkmT\n12MnT7yKLwOu9hq5SHuPZ8a3IdfLkaITUlT0VroyNUfZ6hGIiAB9lVJ7RCQCrAGuAq4BHlRK3Sci\ntwGvKaV+47WvktQjKBP2qM+cKF+MzuS65FRu+cWN2m09k5651CZojfQ3VUa59866nZ62gfoCcjho\nax/YiA3U1j72ndCtvj+uifY09RLGzXua0Z88kWO07mg9gpUbGljz0GKu5r7Mfm/ma4w/5wq+uvJo\ns9PPg67uRJ76Er5y/9f3838ihdS+cMOtdsexFxkeXCWq6RHQjjN6HIzZWkc9rkpaj0BExovIt83P\nQ0TkkHzbKAPL4hUx/xRwKnC/ufx3wCQ/bahU7FGfq9LjtaO7dfuelrOdr6RnGrVBs4ryH60X0+zi\nL295F7niM1AsQ76Iak3KiYISuhXoxjv9jCN4InwK4xOLMu6uT4RP6bCf+qRRwxh/zhVcWHMHh7Xe\nw4U1dzD+HCNvUdiPEAD9aDyPmsWXAVf0sRc5FJNEUYeu3sVZiwy1UwlregS009XlQfMai0VkNjAG\nOAL4b4wO/W4gr/OxiISB9cCngF8D7wJNSqk2c5XNgFbcicg0YBrAgQcemO9QXYbzRXZ61sQiYW7U\ndFK+crKMnMwNq95gavpuh8vmSURCIWap24hpS2V68OX5xv9+3QOL0AsXlG+mQA+jQktMFsPE0Bqu\na1nB/g9vg2eHk4j0czfa29EJrzzpz30ZcN3yW4EhJFTKNfCuaDSOFOrBaWUx1Ad0fWoOPzOCc4CJ\nwF4ApVQjsI+fnSulUkqp44DhwAnAZ3SruWy7RCk1Rik1ZsiQIX4OV15cdKNeofNewTTOG2wZYp+P\nn5O1/9/tOSFr9Gv57d/bciLX2mYfvjV8IyezdtXtJB78Xrbe+uHv6/W9eaJnWyO5aouCHmq30adH\nh5YJBBv/FC+0ns+kh4+EOQPhT9d4ttULaxYz+pMnuDGylKFsRcxrU52Ok5LsMVPO5XYTXnmC0XwZ\ncF1yTynICrxr23BPWXX25TLUB3R9ag4/giChDEOCAhARfSikB0qpJuBZ4ESgv0jmrRoONBa6v07H\nw+Dn9iLffOFxnkZU+w22bAuWIda+f68HYVV6fEZINHilmjBRGDVyP7P+p0Rpy/4xlcgkqsvCowJb\nqwpzo/q257n5We7bw8jOn66BdXdmRyCvuzOvMLAb5K6r/ymN9YeRnt2PsStP5rTUc/okfqkE4arq\nrLQXcsgp/oRXHkHny4CruQeK3GxUVakWmh8rXboIJ+Uy1Ad0fWqOvMZiEfkxcDhwGnAj8B3gj0qp\nW/NsNwRIKqWaRCQGPA7MBy4BHrAZizcqpRZ77avLjcVeBr8Js2h+bBZ94ltoTA9iafRijjtzWl5V\nhd04tCZ6pbYAPP1GsPILq7VGpOqqEE3x9kiziaE13BJZ7CuATCkPO0L9rly10eGns/nlh6mTbaQJ\nESZNg5UuOT2ef8470/Xc7G32a/jKa2jeuBwevFS/sYRhtj5Vtt0gPEy2ociurezL0G7R2UZSxz1R\nuzZp1TFphJDGyF4KymWoDzAoR8U8v8ZiX15DInIacDrGIGS1UipvpXARGYlhDA5jzDyWK6Xmisih\nwH3AQGADcLFSqtV9TxUgCFw9WzA6hCK9KKwb/3z8HG1UsOU5o3tAgJzO9t3qbxCWDnqBnXsHbQ//\nICvvTlu4DzfI5dy154Sc1bO8WzTnVuhDnVeIbFye074cdMJswizqV72RUxayQ5TCQ6dINs86TDt4\n2JwezPC575blmOXybAkoHyUTBKaH0IdKqRbzewzYXyn1fika6odSC4KCOym3GYFlqHNSaAcx/xB9\nwZc8+1m5oYH6VW9kZgb/rL7Id0oJLbGBNFNtZuDMZmdkf05qWeTdCZQgz1I+d8rm+Z/Wti+DhI1E\ngCuvgLQtN0cowo5UNQNFn9KhOPQurp1B/Q2ztbWOF0SuoP76jkU7e1EJdZ4D/ONXEPhJMbECsrJU\npcxlvuqxVxpu1Z7W/WsHz7y5NfOAf/HTQzLfL6k9j+vDt2WPQp0zATu7NhVW+SyR2zmlpIqf7T2P\n38181FU9MunZuUxUm2mMGlP0BjXYd+F3p3ooJVWEvzyfPg9O067fL/kxN557jHsnUKL8NDohYF/e\nJ77Fewejv2XYOuxCACCdZIAzaVMeFCD9RkBir4ugzpMGotiEgz447sxpzHqojauVI+7hTP39K1U7\ng4RyPRM/gqBKKZUZdiilEt05GtjNtfGeFz/IKH8amuLc/eIHmd/v2nMCe6JtzO37ADXxLe0vz1Nz\nXbJWSvvyfB3iU3MNQ62DXekYd8VPyLQnqzShrdMN0V7VakXqZC6Qv+RVfTSrKPenTuHU0AbqQttp\niQ010jePnEzj/ddpVQ6N6UHenUCJ8tOERUhpZqlWyurG9CBt+5QCGftd+OqvDKNxCRAwOsvYAAhH\ns++TriKbmyAE7473T9fA+rva3UBHf8s4Dw+M+3AFF66eUNjoPEgoF6DBj9fQVhGZaH0RkbPBT9Hb\nysTNtTGfZv3+xEmMa13EuD4PcshH8xn358GsPewHGo8ayd1bEZXPnGmls4JLNJ1ujSSYEHqVmcmp\nbE8b+Yac/alVhKaFKN+sepLhA2KEzl1CzbVvZjoBr1QLnnilcS4AnRCwL18avTinLkKrCjMncnXe\nzlNzZ3ygjNmAUmYwnouXkJsgfOxa75KoRXo/QZFFkDpQdjOg5+JHEFwO/EREPhCRTcC1wGXlbVb5\n6Ihf7s7mZFa07JS1BxklGu2uga45YDbpc7N4+OlbSd0sGpriRnSuS+c6zFQLxSSRFWGsgJ3U8ofU\nlwgLDJQ9GR95Z46c486cxiw1LSs6epaaxnH5VA5u0a9+o2Ktc3C5P9byM0fWIQ5/GUE4c2Rd+wKX\n6Ol0zpYFkE4aqa7dXFzdAu/iO7w7XrfZS4lmNTkUkVCuK3PgBHQOeQWBUupdpdSJwJHAkUqpk5RS\n75S/aeVB569bbOcQT6aMSl6WD/yEWd4dny452YRZ2haEBG6K/CZHGFy97FXalPttq4/8Pkc1JMCA\nfgOYMuitvFWtvFIteKFcol/dlruRz5967Lu3EpXsGIiotDHilYWZDmrtZ2aSUNlaz4Sqyp0iOYnE\n4Nw7cH0ivKKsC63721WZPAtM6VFQupCAbotrjyIiF5v/XyMi12Cke7jU9r1bogvg+caJB7rW0s1H\nRtVk6V7zdXzJuOEDb80ORk7GbRYRFsUvI0tyhEEIl9z5AgNcCp2wa7Pv0WAxKoeP0Ed/uy13I2+A\nlcs57Ke2ZTqoq/9+OD9OZs9qfpyc5podVimy1T3F1Ch2iyB2y+1UgoLxRY3UCyy72dU5cAI6By9j\nsRVB7CudREXj8JKYNGEWk2ZmT+3HHDQwyyPG7jVU1z/G3ta2rAAui4yqKV9yNid2I12/Ea7qnqi0\n5ZaR9PIOcpveWB2P1g02ZMRKdMDT5cbEBdyoybx6Y/ICbilwX55G6dgArQePoHhCvs/SRy+mcc8J\nNKCpptaGNjvsT9ou5eYf/qJ9vWIqrLkV44E8+3KzXHjPU9283wBvwV1g0aCuzoET0Dm4CgKl1O1m\n0rhPlFI3dWKbSotPL4l8bnFrV91O3foFHMA2Gs2o2qysl8VM9ZNxeOjyvLOIYbKN96ovyhx3Qdtk\nbnYrTanrWKyO54MX9bpn6/jWtfngRSPTZAG1mQfUnMfM5qnaqNPOQMSoHDYjuRhq0Qa/PRk+mZlJ\nctq47wlfz17RT2fp5oLpJkTd9jXmO/p7MuY7nudbUGI/JwVU5vNd1SygW+MnoOwZpdQXO6k9WjoU\nUOYWDBYbaBj//Pr6O0Z1cap5/fifMXbiZd7HKTHNKsrM5FRGh/6Pb4afdIlIthEb2J5x1Blk5Zdw\nFM7+dfv10VyPtnAfprd+l4fa2pPSRkLCwguOLY3feabjzX+Nm2MH8B+7z+VHoWXUiSG4/zN9Iaec\n933W/WsH9760iZRSTAq/wOya+xmQ/Liw2ZBbvv5iU04U4T56yMxHXecRzpQfvnARbEE0cSdShjiU\nUkYW/xzoByzDzEAKoJR6pUMtLIAOCQKv9BB2vF7kPMVFAH3nEI6STiVKXgZue7qW0YklnB/9a3ts\ng0ut3y0M4XMtt/C/fa5iKFuLP2hsICtPX8PC1W+xrPlSrS9/gxrMuNZFme+RsLDwfEMQrF11OyNe\nWch+aisfyxA2HT+9XYjmewHyFcdxoIC4iuaogN4YfUP2MYvtzF2eh+bYAZymFhcfdVtAR+AWgR0W\nIa1UYcfPcy3s0cSX1L7MjMiy7HiaIP6g45R6cGFSSkHwjGaxUkp1WpapsswIdLildPBbRcvxIid3\nbyOSLkyXqssqmbOOgjmRq7OT27m0Ma2Eq5Pf852QzqtdR6aWEU+meK/6Iu1MJK2EQ1vvAWBO1W/5\nRvhpwpJGAWkVyqrypRQkov2oPvb8/FWvCpxttRGiSmNQ38IQhta/471PP+lBPK61df7gf+S8ckMD\nrz66JCdlRFu4D1Vn36rtCFZuaGD6itdIpt3fX98jd7/Xwkdn5SnwA9zpyPPoQckqlCmlvqj56z6p\nBl3cM7W46fn9epE40ilXFSgEwPSyqd9luDG6uKKKQH3fB7Jf8NgA7brNVDMvstS3EHAdFygy6gE3\n75tGNQgwhMCU8JNUSRrBeMicpR5FMIq9rPtt/gCnQuwvoQghpfeq2k/ZZjEdKdDu8jxY52/hx7vG\nUr1MTdyd4/abL610vrppbsd3ehspv9ciTzDa2lW3c/T66xnKVkICQ9nK0euvZ+2q2/O0NKBDz2MJ\n8HIf/axZeH6PiPyviOiKylQ+Hu6ZObh1+JqSkW3hPvnLAhYYxprJ7e7HFdXnAxKjxVe2TaUMlVMr\neuGzR1VnPi9om6yNPl7QZowKvxF+uoDZR54i7BuX+8wLbSJCM9Xan5qwldLwEO553TI1Lpj287fT\n2BT3LPhuGX3rXLzA3HIrzXnkDc7kedZEr+S96otYE70yx80YbEGIJrq4AKcAs1+LLPJ0ViNeWZhT\nMS8mCUa8slC/XRdRkQFyxbgslxAv99FfAz8G/oJRoexm4IzOaFTJ8XDPzBCOunbsK1PjWJOcml3Y\nPP01xqfGZRVctnSpDU1xwiK8HKllkI9sl0qRye+/ft/T4Ckf+nDnAxLfqV3Nr31CBOKqDwL00cQi\nJCWS+bwqPR403jdW9bRw3rGqD/oNtwnEAvaXShDzMwN0cRFde9gP8rtlaryKFuw9j9Gp1/lV5DbC\npEkR4p7Uqfyzz9HwyO25XmumZ9bz8U00RgfTTB9qyU2t3aT6ootE+HzLM1musMPFyDdFksx9sLC3\nX+dtND85mfnRO7ODDXXusnnKbu6ntmon3/upDtimSkzRbrflphiX5RLiaiMQkVeUUse7fe9MOpyG\n2o+xMRSBSYu1+th8qZFBn6t9YmgNCyO3Uy3e7qFtKsQ1yct5JD0eBbzX5yLvDjwUgep9DH96e83a\nAqN4naSV4XqaT//vZGJojSkUttFELQPYU9AgPscuYumdfXoJ5ezPpfBOTtEWm02nOTaUBckLM26n\n9nNqVINZGr3YM73zu/99GYe+f1/WcZWCtqoaIqlmzRbZbr5phfa6b0/XMmhu7ojVqx7B+MSinOXW\ns+rmbXR2aA23DHkkv8uwh41gS/2ntA4JaSB07h0VYVT28y53GV3oNeQ1I+gvIue6fVdKPdiRBnYq\nzhGczsMmnXTNlOknqEY30rKPnIfJNtfOsUrSmdHc6ND/IV4W49hAI221FVRlS1bmx9DshaUi0AWr\npZFMLMNT6eOYEHo10/H3JZ4RdgNdIpuVglYiVJPMug7NKspjoVM5b983cl8Al5TY+Ui5GosHUWdf\nYPrTOw2vVulQ+2h7RnIxbDwq83xYBt6pibupC23nUFTO/RWBKq0QAKdKzM0NeEBor3Z5nWwvaLn1\nrLrFBazb9zT44Y0ubTXJE1+x6fjp7Ld+Rs65hKxtKkAQVHSAXAHxHaXGSxA8B5zl8l0B3UcQQPZF\nru+vXUXt2sz4eU/nuP/1i0W0UcX9Yu3qErcHaVXaiHBdE73Ss1ZAjSS4JWJU7HQTGAlVRXM8SX/0\nOn/BmF2ESRfsIdSsovw6dBEAc9TirHw+SrUbe4fLNqbIk5n9u3X8ThTw6dbf2Uba7SqlR9LjOW+2\nxvfdTRXhQVrBX9OfYUzo7Rz30fnJydoo5/pVb2R53+jqFtdIItOZWSUv58oSakIlqnbmQktsKDWO\nZSs3NDCWQQzTJAHeInp9vxUANv2MI7RxAV/89BDGaZ79HDw6q7ETL0O9MkN/Ip0QY+OHIEBOj1dk\ncW5V8p6CSwfTqAZlHhK77tCtUxVptwvkswsvaJvMLyNLchKmOffnRVTaiKjdnsP+EMpXgRq7RnAn\ntdQnp/DNE4cz9h/zUPHsNupGuoWyU9WyJnplRtVydfJ7GV22W8ZRrd40DyGBMaG3WZc+nJNC/8jo\n61ekTjZGvRqcQt7NcGsZRReufotl3OfLCJ9W0Ep2TIObGsi5vC3cx6gT4WDh6rcYnZycky4jTpSG\n42cQWxvO6eitCHirc3emU3lgfYOr3ryQqmTipqIsMAttuXAThJ1VJL5SKXWsU/dA4/URp5r5yeyR\njuV+19Ssj8bd2ZxkzUOLWdZ8aY7nxsTQmiyPDoDdqo92P4WQrxO2RtlubqBKGR2OlaZaBPqQYEzo\n/xj12iyI7+iQeklHUgn7SAvDQ9sISXshnYmhNd4v4cjJrD1mDjtUbd7EoXZqJMH40BuG+6oYs5nJ\n4b9w85Fv+9rezT3WMoo2NsXdhYUNpeDu1JeYmZyalQDvD6kvEXd4NjWrKH9IfSmz3haGuMYQNDbF\nWZUen7Pf5W0nM/bdW/l7+Gu82Ocqzg6tyU3aR25SwWfe3OqarqLg7KNudqoO2q9KRd6khr0UX8Xr\nu5qyFK93GGau2noWDzu8LcAYfNf1jzH6kyeyjIcL2iYTEuEXVXfkqCBWpE7mgnB2pTDrMneopnAe\nlIKrklewKj2e16u/Q63keqG0OQK78i0vth1Oo6nuvBUQjx2QqY7mxG6AtxtvwV2n7olLcM6ouY+z\n0ybsnTYCMEp57lYx9lW7+ZDB9FEtDArlqsWs+2x5Dd0UuYy9iTaSqfb3LBIWfn7YPzj5g9+wn9qW\n43UF3qkidAZPXZv9RqZ6patwe/bX73ua3rhapsCogOIoWWRxJVAWQeDAy5vg5iPf5qj11+d0+Ckl\n7BNqzdmmlJ1qIexQtRzfusTVWymhqqiiTduJunXWfmhTIUKki+ucIbfDMoV0etdmGtO5naTdzpBG\nCrjW+mLzKzc0MP3+10imVGbfw2QbKQkRUml2SS19VUuWWi+hqlCorGts5YGy2hqLhDlv9DCWvbwp\nywYREiMVhFdUcP9YhFdnn679beWGBn647NWszntN9EqtF5GfDtjr2R/zyRParLLXJadyyy80xuWN\ny2l7+AdZ9b29IqQDykvJIotFpEZEfioid5jfDxeRr5aikZWEV0GUo/5xk9Z4WCu5QgBK5EdfIM0q\nSn1yCmAYO3Uuq7tVH1e1R6oALeFeqmmOHQAYKoldqqZ4IQCQjLPlwZ9wyMxHqb9hNm0P/wB2bSKE\nyqiR5lT9NqNqm1G1nAVtkzm09R6uSV6eE9zm2r9a6bYdQV2TRg1j4fnH8p+x33NzZDHDQ4aHVxVp\nWoiSTqMthrOXmKGaQWiOHcAbo29g/b6nZakcnnlza06Hn1Z4CgGAZMr9GZo0ahhnOVSPw/LYNbzw\nevavi67QPvvXRVdo97UyNY5lyc/TpkKG+6wKsSz5eVamxmnXD6gM/BSv/29gPfA58/tmYAXwp3I1\nqitwGtH610RQCn647FXerf5Qa6B1G0GnJdQpwiCtjGalCBEjwYyq5dDmbuwcIHuZk5yizcm/InUy\nU8JP5p0VKAXXJb/LE6lTuPHcY1i4+i2ej5+Tt635XFv3U9tQwNTE3VSFslVaNZLIyrSaEzzlCG57\nRo3i69Hns0alRiMc6bYhM0qdFH4B1OqcRtZIgpiLl1Z/9nJWzR94Yeap1ABjgRcmZq/zw2Wvepy1\nO3sTHjr1jcuzAsCGy7bMs5CDj8hUnQHZMgirh/XP0v4uZctffXQJM+S5zCytijTn8BwLHl3CpFHu\ncRgBXYsfQXCYUupCEfk6gFIqLlJOTXfXYdUkcAaHeRaCcaAUbBt8Avtvf7Hg4/tVzyhlqIH+lD4x\nyxZhdZA7lT6iuVEN8owKPiv8oi93UEvgLFwdZfoZR/DhysFaV0aLuIrSePC5HNb0gqsbYTNRz5Gt\nc8ZRI4lMwR7LRddiQE2ETx97mpn8bBtpkdy4gmSczfdfx4V/Hmx0es/OpdCcIM1Es92G7XYnM/fT\nu312atVbHeKpuTklR0Oi8UYqIDLVrR6HuHjYiYuAmZq4O8eltkYSTE3cDQSCoFLxow9IiEgM8y0R\nkcPAWfi2Z7Fw9VuclnouM/WO0ZJTA9dtZr+XPgza9nLBx0wreD59VI6aQyloUVXsULUZ75Crklcw\nOrGECaFXtdN2ETxzAa1Kj2d8YhGHtt7D+MSiTAdVn5ySs50TMb1+bo4s5vn4OZz48Cl8MOjzJFSu\ne6CVv+ja5FSmfHShoauO9tXsFfrSmlHJ+MUq2OPMs7OzOcmUtQdxYsstHNp6j2sSujrZnvGCcU28\nhhFM59bmS2rNe21F3e7ahJGhbwfEd2Spt6w2RsJCJI8urb8tRiUHl7aKYJbGlOzSmx2hwNKWdSGX\nQDeX5QGVgR9BMBv4H2CEiNwDPAW4RI30DMZ88gTzIksz7o6DQntQqKzO+A+pL2k77b60FGwoVgr2\nqmruT53CitTJWUJGBKK08UjqxJyO200F1J+9Oa6FdiOmHXt39Ijpkrg9nd9dMyRkMkwet/1RHpQv\nZbaz/naoWua0TWFVenz7yDmhj5QtZo4pZhucHW1YJMsd0s0uIijWRK/ktNRzfIR+HUPl4paGBX6c\n/q3xJU+pUmsGM6x/jIXnH8vCC451jZ+IhIT6iUe57stN3SMA0b6sPPsNxrUu4pA/9u14UrWRk+HY\ni9rjACRsfHcRMLsi+xW0vLOwJ5qrv2E2zfM/rbUX9VZ8eQ2JyCDgRIxn7UWllD89SYkom9eQS24P\nt5wpShn6+JCkaVK1RFQyYzAuhbKsVYVJEtG6faYV/CH1pUxqh0Y1mBppYaBGBWTlm4lFwlRXhbRR\n0W5o3RB9sDltuBXq7A8zk1N5MnwyrW2Kd6JfLygldiHXdXN6MKepX+f4xOc7p2YV5f7UyUyJvZDV\nmduvudYjB9P2Ub8LVd/fVWC04+615DdgCzCe2wcvdWmPcGTqvtJVFCuwYEr9DbNz6io0qygLIld4\n5moqJ0435GLdbLsjpSxMMw54VSm1V0QuBo4HblFK/SvPdiOA3wNDMfJOLVFK3SIiAzGqnR0MvA9M\nVkrpU2ealFwQbFwOj12bWwTdfCDUg9N8vNTlwavzc+qAdbEJVsf7fJ8vopQRNetWHl2HqxtiHtJK\naFSD8iZCWx+dpvW/LwQ3w3MaYdXZb2QywNqZGFrDT6Ir2J+t2m23MISh5/4CnpqL2rWZRjWI+UlD\nrz8xtMa1sI9xv4Q2NJ0K8ZAAACAASURBVHYIJ6X0pZ9/SO7za57HLxIX+Pf7z4ePuAB7MZrsXFTZ\naUSKKqFZAuzusR1xs+2OlMx9FPgN0CwixwLTgX9hdPD5aAN+pJT6DMZs4vsiciQwE3hKKXU4hppp\npo99lQ5rhKN5iUjG4cFL6UpbuNehnWplKzI4bapi7CqglmQ6MxOwOk5ntLMuf72buinfxHGLDPKV\nCG1O2xRaHfaENiU5y7yQiN7OEOo3nEmjhmndIR/j83w5tNj1PPZnW6aw0PGh5YxrbVfBrUqPZ69L\njQPjfimqSHtfo1KnFP7yfK3u/vG2Y1kYuT0rinth5HbGfPJEccfJU4PAWYxmeGgbF4T/knHvtVSZ\nXZnLx27Qz5c+pLfiRxC0KWPacDawSCl1C7BPvo2UUh9adY2VUruBfwDDzP38zlztd5CV0r/85NHl\nAoXlv68AQmLUM7BeOqeOHOAsc0ps7yB+GVnC+ui0LMHgpk/foWrZnB6cSVFhJ66MHDfNYf1j0agG\nMafqt7xTfTG3RBZTRYo9qk/GfnFN8nvUy/fZwhB/qSSqqj0NmM40Av1jERDDiNxErXaXDelBGX36\nzuZkjtB8IPX5HIcBJyKG33xaCdvTtRmb0haGsPaYOaVVPYycbKgz+o3AbhyeWPVSTgxJtaSYE/1D\nccfJUzBFV4zGsodYdHUuH7sQypc+pLfiRxDsFpHrgIuBR0UkDHi4NOQiIgcDo4CXgP2VUh+CISwA\nrRVJRKaJyDoRWbd1awkLW3RTyZ+vg7RG3QKkNCvrMmpGpY1BoT1ZBten0sdpPY7mtE1hfGIRh7T+\nkauTV7CFIZlO7vXRNzD24AH0SeeqfNqU8J7av710pUBYDKP6H1ITGJ9YxBPhU/js2ZcztP4dGtxe\nVPu1iO+AKpsgiA00OkXIVAKb9OwZvPCVbfxz3pn0ra7KRA33JXcQkFBVLGibnPEgmqgRmheE/8K9\nqS9kDPBu9yOE4tDWexidWMLxrUs4tPUeTmy5hSlrDyp9JSxHaVRGTqYfu7Wrui3PSx6vIbeiM3Wy\nvWJy+dhniLrqep1ZAKZS8SMILsRwF/2uUmoLxqjed+05EakFHgCuVkp94nc7pdQSpdQYpdSYIUOG\n+N0sP2WS/Ir8nXVH8JNsDuAbJx6o9UbxkyStRhJMCL2a1+NoVXo8Q+vfITSniaH17xjFyR+7Vqsj\nD6MYF/q7NoOpUdxeOG90uw/7r0MX5XVhVZCt2muLGxW/7O6bVtDYxuUZ1YBXxLV1fvFkyjUN9Vnh\nF/l8YhHXtH3PNRLbreyjV/3iUpZOdHtMilZ2usw8rNnNx6J/Nz+WwZmkdl2d0M0+Q3wkPZ4FkSsy\nkfElc7Pt5uQNKDM7/1/Zvn+APxsBIhLBEAL32ArZfCQiByilPhSRA4CPC292BygitbEvujBlkz1G\n4IZJx3D9yr9x94sfZK3jNyiuTrbnBGg5GVCjmRDqbC6YLp4uFydMmpRSLHt5E2MOGsikUcN4TD7P\n3kSba4I5bQrnZBzW35Wb4dIsrF7XfxENHhlDB0i2S6v7ent48ohVHPD+g1oXYbe6xRZ2XbW9rKnd\nmN/h0omxgfp7EdMVvPSJRw2CTcdPp9/667PUQ3EVZdPo6Qwt/oglxx4wt3LDcZy2+hQaW+LU9Ykx\nPXVEJ+unKw8/uYZ2i8gn5l+LiKREZJeP7QS4E/iHUupXtp9WAZeYny8BHi6m4UWjG+GM+W7O9Nfy\nhfeLZbjtLAxdffaI3eqgn3kzd7qunRLrCAnfqm0PiNMZmGef5eHjXgDWqDqZVtSvegOAXfGkLeDN\nUEPZZyeuuKU53rU5oxpw0w87R/HucQdw0L9yZwtg2AZWpE5mRtVyV2O8pau2p3aG3DGE1+zBDWtW\ncdWur5Fwju/CUcO4XAbGTryM10ffkKsqnHhZWY7XUQpOq91L8DMjyLIAisgk4AQf+x4HfBP4m4hY\nCVd+AswDlovId4EPgAsKanEp0I1wDjwxy6W00pNoWMZhi0hYMh20rlqaM7VEE32zSkxahFSa69Vt\nnHlSHcvWfcBcyS7Z+KvqO6h6/D54eGdW7EVrpB/VSf34oC0UoyoVz0lNfU+q3Z3R8nByVpByzk7c\nKr2lzUyhucvFyCN07jiWPnpxjo97XDOKX9A22dVdNKzSWj1LiLQ23YeVD8luMNWVNXVSSOlEu598\nA+NRCbg2YtxnKVHtWy/GTrwMzI5/qPlXadhnYE4swdvVKqyupKg01CLyolLqxDK0R0unBZQl9rqq\nOCqJZhVlpTqFU0Ovsp/ayscyhE3HT8+MwtzSCjvjCSaG1vCryG16NUfsAFrb0gxIfuTdmEgMjr2I\nneuW01/tzuk8E1Txi6p/55CW1w2bgFkx7J7Uqcxu+07Wuu/POzMnz5OTc6peYGH1ndkJ5SIxHmg7\nhS+nn9YHjdkDhhz3fO1hP+Dqvx+ec73c4h3aXOohu6Ue35wezIU1d2QFiR0y81HOstVXsHz97XaY\nQoqpV3RB9gog3zMF3vUfujOlKF5v7chewD4EjKFLNeIlwhkxuWtTh4u/dwaWCuKC8HPUkAAzzcPQ\nv82GgwfAyMmu5fjOGz2MZ97cmsmu+hf1RULpxdrj9IlvIabcUlraSMZJr7uTAZBZ1xpbWCUwH2k5\nAcUJOR2/HUut5cyE2S8WQQSampPU9Y9xyhnfpyp8XE5E+I//2JfnQofqBZtpK8jMBG2jYytjqLOz\nmNM2hfmRpdmukaEISiKotuYsgRdXUfq4RC0PD23P6YwvqX2ZGcmlvmYPfnCbPTQ0xVm5oaFXj3TB\n3wwsqFmcH3sB+zaMaOCzy9KazkQTT9DVQiBfSgUraljn1WLv7LzSCjvZPEtvRN6bjrrWW3DiNDSJ\nZEcTD3MpGG5hV2uBeybMdnJVe3V/fppVTeO5Gb1gc3UbNmcIk3Zt5vTaoSxIXsjv9pzA+n1P4/Uj\nD2bsu7dmsommWnYTSTdnCbxdsg9vj/6puZ4uAjfXS21GZBk1bXrf+/U1p+VPMeGgf00kq8Kanekr\nXgOKNDz3EPKp2bo6zqES8GMj+HZnNKTTcekYOlKpq1BSylDWhDAMp39Nf4Yxobe16g2lyNQc8BMd\nmbczNTvAYaFtOZ44aQW10tqh62DFNfSPRbQzFEtNNcxPbh0fWMdw9Y7SuQ07ZoU18Q+pj9xO/UVH\nwcgzgVMBQ93WPP/T1KhstaEINFPN5L8O55La87g+fFuOykrnn14T36I9B93swQ9e2l3LEN+bBYHT\n7mQve5pRq476ty5sYdfjRzU0HLgVw/irgDXAVUqp7hmZZeGSZ70zUMpIVx0hmTHWVpFmTOhtVqRO\n5uKqJ3EmXLA65eGyzV0v5zdGwtYBCu1pKiy8MiT7VZ81qkFZWTSrq0IZQTCgJsLss44qaedk7Utn\nEG4L96FKFzCkizK3q5Fs9HHpvIeq7Sjgrj0nsCfaxty+DxgdvZeR1u3ZKzLGZVeepIKFJB3siUw/\n4wjWPLSYq7mPYeb7Yz3jTrVqb8VPQNl/Y7h81mEEkz1iLuveTJgFoVx/eK9RcKkCxsSMrHV67FgB\nXfluitj+zVBIdKSmAwwJpAn5KDkptOVpYbOKsjR6MQsvOBaA6x78W1Zn1JIsTwqPSaOGcdyZ05il\npuUExOlKJbrVIEjv2pwT3NWY1geK2V1P70+cxGlqcVakr5YCc/zno65/LMvN953qi/mnRz6p3sak\n8AuZSHErdXkWlvDvxfixEQxRStk7/rtE5OpyNajTGDlZn4HUA2vkLBiZLsNSvGRwEzh1st3nsFsZ\nMRCOFNq+cOkA89VRUICM+Q7hdb91/73fCGomzKLebMu4eU/nGOrK6a63cPVbNCRO4n5Oylr+v47j\nrdzQwFg1SFsRrTE9KMvHHODVaO5MQxdA5svt07pPmhToxXDzkW9z9Pp2w3bI9GqyjNB9pQroeR4x\nvnlqbm7ZUifdNPVMqfAjCLaZ6afvNb9/HegZ5YbintmvtYRMQ2iMFm05yI7SqAYZdQbylYzsSNrc\nAtViSgEiyJjvwFd/hbz9uEv5wtw2uXWMhfjJF4Lf4y1c/Rajk/r6CfbO3RJa08+cxqyH2rha3ZdT\n4tNOSIRDZj6av66AR7RuoYx991Zw8VqqkQQ/ja0AflaSY3VL/HTyvTzpnB9B8B3gv4CbMAZ9fzWX\ndX9iA4qKGxjmpafvAPZO6JeRJUSlTb9iR5NkFZhmQwTiRIkdeKLr9impYveuJvad3S8rrqGuf4zR\nnzyhzY9fDpyGQftyO41NcRpwr9/sXNfo0K/gwtUTMm6te1NtOD2prYR/HU4VUQh5Ojo343SvId/A\nJ0g658tr6ANgYie0pdsghVR68UlKSVZyt4GRKPV9H8gqhE58Z4fVCIBDNeFvZhCjNdsXP7P9Zloj\n+yKJvfSX3Zm4hn7rr2ctcPORZKkthss25keW8vqRB2N45ZQWtxgKp3ugJTDy5VWy1oVcTyx7ZbGQ\nSE7WV98qMJdKeb7J19H18tGufuBjvsT9RpQ98ro74BpZLCK34tHdKaWuLFejnJQjsnjlhgYmPnyU\na0I0P5TS1VQpuCp5RSagyB785at8YbG4VaDStRFBNKUW3Up7bmEIQ/v1yVvhqtT4Kf2oizaNhAQE\nkqn2Z8Kvm+shMx/VPkl5I1YLLAXpex/F7qun0lFh200pRWSxveedg1HEvkdgdQJjRF9a0Y5lHNZ1\n+KWMNxAxVBTPV32RM0cewAPrGzKdVFnVDJrRkjbDJ/ARg7V5ZPZTW7XG7f3UVtjlcpHKaJzLH5CW\nG8FsCQxrWaFZQf2qpHIowIXVFbcZXp5C872KEtpkeiKugkApZVURQ0Sutn/v7ixc/RanpZ4jVtWS\nd1TfRhV76ONqvHVu77W/VhUmjHL1zqkLbWfDrNM719NG48Hyh+1HZCVQA8N+8YvkBfxlzuNZKR+m\nn3EEJ8oQ7YwAoDWyrz4ZXSerK9xmCbrrOWnUMG3+Hq974FcllUOeUpC+se6jXairFLz2RyOhYtAJ\nBnjgJ44AekJuIRtjPnmCeZGlDArtyTuqj0ob/dnjGUNg/83an1KwR/Vhe7o2488+PXkZ1yQvNyOK\nc7F81RsdUZCWf/iy5kuNKW6Z+Wefo12L0zTFk+xsTma5V/7lwO/llK8EY1YRT6ZL6jNfDMWkHi7U\n28lZHtN3Za48pSALwmt20dvZuDxTvY6bju6U96g74cdrqNuzckMDcx55I5OPZU21Pqe8G15BVm6C\nRASa0rVZqaIzJNG6LS6NXkw9ZDxt6iO/ZwB7sqKKecQ0zZRqhKdJvnd9+DZmVk3NtN0Kyb9ZFudk\nyownU9zy8SjXXOL7qj1w1pIu1c/qko7lm2EVo+rxo5LKQWfILFZQlmp20dPQPOMlf4+6Oa4zAntB\nGmCkrTjNbnNZt2Dlhgam3/9aVlKuOvJX6ioFVr4dJ6vS43NG3LPUNI47cxpgBAjNjyxloGhmLKUe\n4T12bc4osirVwty+DzDMjFh11u+dF1maFbHa2BTnQ9EXc9kig7S1dTuTYmIZ7HVuLcqSnCxPKciC\nKOXsoicRzJTy4mUj2Mftt+7EwtVvZXmBgP+yjR0ljTAxtIZV6fFZia6sUbV9tnDzhcdlRpNeAUJA\n6UZ4G5ej4ju0Qcyx+BZeqD+VLfXTjHTXNqxMmZbbZV3/GLe2XMQctTgr9iGhqrhVLuLG0rS2aIod\n3YO/DK4dphSGzI3LjXoaTgIf+WCm5IMerxrSjfoWtOVGlJaDKkkzL7KU0an/86xeBdmeKGrXZu8M\nEyUa4TU/Nosal98+YjAvbmhgosvsyZrtWKPkZ1Y8gYpkC1yFojnhEhTXiRRryC1K1dMVuLmPxgYa\nJSp7u/qjxEn+eiJ+jcXdFt2oz6maKVUyOR01kuAb4dzKWdaoGgwbhD3J2Ud41OYt4QjPLaOmUvCL\nxAVGWuc8ydaqq4xH6LroipwketWS4rroipK0tSMUbcjtLuhUHwDRvoEQgJIn+euJ9PgZwfQzjmD6\n/a/lqIfsEaVudXBLRVhT2hCMUXWWyqh5MDc/9DV2pY9lSvjJHLfUvVRTW8LgoMa0Po5iL32MmUo6\nxYJQ7uzJXue3KZ7kugf/xt/D+uu3fyfZY/LRbUb3xRCoPrwpcZK/nkiPFwTWy2/3GnJmiHgqfRzf\nlCd9pGAujpRLndsm+mZ1ssNlG3PVElrC0RwjsQjsYV9qS/jwLo1ezE+S/5WT0yhCMmPbcBa91+Xj\niSdTfBQerI0lkGD6XX4C1Ud+goAyT3q8aggMYTD7rKMyqoH+NZHMiU8MreFr4WfKJgSaVZR7UqfS\nrKJZyxNSDaBVGQ1wCV4r9ej6uDOnsVv1yVleLSmujbT7Wa9Kj2d8YhGHtt7D+MSinKRsADcmLgim\n311FoPoI6CC9QhA4A4p2NicJh4UQMLvq9zm6bSeF2hCUMv6sQKzZbd9pt0kg7Izsz09Sl9LfLdW0\nW2xCiUd4k0YNY2BI42mCobbSuU/2j+UW8wFYt+9ppXODDCiMUrqgBvRKerxqCPQBRcmUQoCBPmoK\niEBKGVJTF0BmFxRWTZkGR+DVqvT4/9/e3QfLVdd3HH9/7t6bkCcTIOEhiRTtZLASAtTUoZIpKSkP\nbTFhrEUEMTPqpFO1kbZSY+2YlJlKWpgKI1qHRgqthJQilsjQQgallk7pEARSAWkstRATSBDEQtD7\n9O0fe/bmPuzZvQ9n99w95/Oaydy7J3v3fH9wc77n/J6+fKN3FZ9/3xlJ8ZQ3uHLGjrpjE70985lJ\nbzaLjJpQSreC5i/lmtWn1d2Lp1b2rzYV9nouZdUFH4UV53bWxadIG5G568OmoBSJIG3h0ERu9LtI\nLxwmVfcREhrqb683RTQ4Mi8d6k9j7a8cxcx3X1d90YqL1OiL37Lzq/vR1Ek6F6+oM8C65w4u6tk2\nVPFpqV5ia2Ub3ZXTgQ66EHm1qdmQUnQNNVo49Apzx/05+yN9WudMDYwZdB0+RXToM5K7axg7jfUF\nFtG97gtH7u6yXo1bu/i9+jwQ1a9PbK/uUDneboU6Zf+6B37aeas0vdrUbEgpEkG97QJqd/Zb+j5I\nbzR/MHqFufxF/yVjBn2bGb3NRK2LpRZPbSD21MEdPLzuX1p7N5p28dt7//iTTlGmKhalHWYZKEUi\nqLeg6PKzTmJWT4Wdg6v4ZN+GhgPCvdHNlr4PDt3B98f4/7PVFl7BkdWsuS1wyuLiV5T9bIrSDrMM\ntGyMQNLNwEXAwYhYnhw7Bvh74GTgB8AlETHxCvKTkLag6KsPP8fOwVXcwJfq/lwEfLJvw4hBX/rG\n1hTuDzFIZeSxylFs6/4A6mXMXjW5LHDKYr55lrtl5qko7TDLQCsHi2+hWvT+b4cd2wQ8EBFbJW1K\nXn+qhTE09K3vHVkAlbboaxCN2TTulZhLFyNnIQ3QxY6B1azpepzF+hEHtZAT1n2OLSsuYUurGzJe\nWVz8irJKsyjtMMtAas3iTD5cOhm4Z9gTwTPA6og4IOlE4MGIaLqvbytqFsPIOrN/2n3zmG0dAPpC\nbB9YM6ZiVz37BhcO7SjatFZtXoo0ZdLMGsqiZnErHB8RBwCSZHBc2hslbQA2AJx00kktCWb49sSb\n+z/Ee7r+lXn62Yj39Ci4vPLN1PKSIz5v2MDw/JSFV7kr63xzJ0CzVNN2sDgiboqIlRGxctGiRS05\nx1UXnELPsL0l5oxKAjVpm8aNNnxgOMvC9rkpSnm/etNmv7Gxc9tjlrF2PxG8KOnEYV1DB9t8/hEu\nrvwb58z5E+b3vsgrMZcYsx1dVdr4wXAR1c3ran48rCJaRyrSgqtGawY6rS1mLdDuJ4KdwPrk+/XA\n3W0+/xHJhe7ovhfpEhzb9RoVjU0CtU3jfhaVOh9yhARruh4fet1oEVtHKNKCK68ZMGuoldNHbwdW\nAwsl7QM2A1uBOyR9GHgOUmueZ290H3Hv6/WLeQzTH11s6vsIAO+vPNj0FLUxgp6Ksq9t225Funh6\nm2azhlqWCCLi/Sl/taZV50xVr5tjHLoIdg6u4qEZG8dsH1HP/jiWo2f3sPndp3Z+EZQiXTy9ZsCs\noVJsOpdayq+JQcSzMy9rXD84cTip2vXY1edPPL7pqEgXT68ZMGuoHIlgEt0ZETSdMtofXXQRQ1W7\nvj3zVycb4fRTtItnWafNmo1DORJBWjfHrGMYfOPluiPmzaZ/Ho4ZbOr7yNDWEz1d4tq1p0491unE\nF0+zUpi26wgylVbK79f/nKu7rxwzIyhtsfXoymPDSzZe+9und/64gJmVUjkSQYNSfre+9k6u6vsd\nfjQ4dygBpD0NSNXKY/Xq9joJmFmnKkciaGDxglnsHFyFNL7VwEv0Es/OvIyHZmxkbddDAKl1fM3M\nOkE5xggarJK96oKzeejrX+LotELyo0jVDeVqpSgrA+KctR9rUeBmZq1XjieCBqtkLz5zCVfP+dqk\n9gaarV7+bN5d7hYys45WjkTQZJXs7DdeaPoRaQPI4/lZM7PprByJoElZwsOzTmj444MBr2rexD7b\nzKxDlCMRpE0fXfNZ/vGxH/LZ13+raVH6zb1XjP0MBMsKspLYzEqrHImgwfTRa+97hjt739WwKP3+\nWMjuN50Hp19W/fkhAU9s9772ZtbRyjFrCFJXye5PKpTVitJv7dk2oiTl4ZjB9Vxa3U30wY2MqVfg\nfe3NrMOVJxGkWLxgFu/4ya4Rhel/ygwW8Dr741iuG3gfq9/70erMoLsLtDWzmVmi9Ing+rfvZfmj\n25iVPAUcq9c4HDO4su932VU5h2vee9qR6aFF2prZzCxRjjGCBn7pv78wlARqZquXP57xD1zzntNG\nrhFIGxj2gLGZdbDSJ4K0IjUncGjsQrG999f/jLTjZmYdwIlAKbWI6x0vUvlGM7OEE0EMjP94k4Vp\nZmadyIlg/pvHf7zBwjQzs07lRDCRi3uDhWlmZp1Kkbab2jSycuXK2L17d+tOsOeOkbV5l51fHQAu\nQq1eMystSY9GxMpm7yv9OgJg5KrjBrULnAzMrIjcNTRag9oFZmZFVI5EsOcO+Pxy2LKg+rXRJnGe\nImpmJVP8RFDr6nn1eSCOdPWkJQNPETWzkil+IphoV4+niJpZyeSSCCRdKOkZSd+XtKmlJ5toV4+n\niJpZybR91pCkCvBF4DxgH/CIpJ0R8VRLTjiZHUNTaheYmRVRHk8E7wS+HxHPRkQvsANY17KzuavH\nzKyhPBLBEmD4Lfq+5NgIkjZI2i1p96FDhyZ/Nnf1mJk1lMeCMtU5NmZ5c0TcBNwE1ZXFUzqju3rM\nzFLl8USwDxi+o9tSYH8OcZiZGfkkgkeAZZLeImkGcCmwM4c4zMyMHLqGIqJf0seB+4AKcHNEPNnu\nOMzMrCqXTeci4l7g3jzObWZmIxV/ZbGZmTXkRGBmVnJOBGZmJedEYGZWck4EZmYl50RgZlZyTgSN\nTKSymZlZh3Lx+jQuYm9mJeEngjQuYm9mJeFEkMZF7M2sJJwI0riIvZmVhBNBGlc2M7OScCJI48pm\nZlYSnjXUiCubmVkJ+InAzKzknAjMzErOicDMrOScCMzMSs6JwMys5JwIzMxKzonAzKzknAjMzEpO\nEZF3DE1JOgT8b95xjMNC4KW8g2gBt6uzFLVdUNy2tapdPxcRi5q9qSMSQaeQtDsiVuYdR9bcrs5S\n1HZBcduWd7vcNWRmVnJOBGZmJedEkK2b8g6gRdyuzlLUdkFx25ZruzxGYGZWcn4iMDMrOScCM7OS\ncyKYIklvlvQtSU9LelLSJ/KOKUuSKpIek3RP3rFkSdICSXdK+l7y/+6X844pC5J+P/k9/K6k2yUd\nlXdMkyXpZkkHJX132LFjJO2StDf5enSeMU5GSruuTX4X90j6uqQF7YzJiWDq+oE/jIhfAM4CPibp\n7TnHlKVPAE/nHUQL3AD8c0S8DTidArRR0hJgI7AyIpYDFeDSfKOakluAC0cd2wQ8EBHLgAeS153m\nFsa2axewPCJWAP8FfLqdATkRTFFEHIiI7yTf/x/VC8qSfKPKhqSlwG8C2/KOJUuS3gT8CvAVgIjo\njYgf5xtVZrqBWZK6gdnA/pzjmbSI+Dbw8qjD64Bbk+9vBS5ua1AZqNeuiLg/IvqTlw8DS9sZkxNB\nhiSdDJwJ/Ee+kWTmeuCPgMG8A8nYW4FDwN8k3V7bJM3JO6ipiogfAtcBzwEHgFcj4v58o8rc8RFx\nAKo3YcBxOcfTCh8C/qmdJ3QiyIikucDXgCsj4id5xzNVki4CDkbEo3nH0gLdwC8CfxURZwKv05ld\nDCMk/eXrgLcAi4E5kj6Qb1Q2EZI+Q7W7+bZ2nteJIAOSeqgmgdsi4q6848nI2cBaST8AdgDnSvpq\nviFlZh+wLyJqT253Uk0Mne7XgP+JiEMR0QfcBbwr55iy9qKkEwGSrwdzjiczktYDFwGXR5sXeDkR\nTJEkUe1rfjoi/jLveLISEZ+OiKURcTLVAcdvRkQh7i4j4gXgeUmnJIfWAE/lGFJWngPOkjQ7+b1c\nQwEGwUfZCaxPvl8P3J1jLJmRdCHwKWBtRBxu9/mdCKbubOAKqnfMjyd/fiPvoKyp3wNuk7QHOAP4\nXM7xTFnyhHMn8B3gP6n+++7YLRkk3Q78O3CKpH2SPgxsBc6TtBc4L3ndUVLadSMwD9iVXEO+3NaY\nvMWEmVm5+YnAzKzknAjMzErOicDMrOScCMzMSs6JwMys5JwIzJqQNJBM6XtS0hOS/kBSV/J3q2s7\ns0o6XtI9yXueknRvvpGbjU933gGYdYA3IuIMAEnHAduB+cDmUe+7GtgVETck713R1ijNJslPBGYT\nEBEHgQ3Ax5PVu8OdSHX7itp797QzNrPJciIwm6CIeJbqv53RO19+EfhKUqjoM5IWtz86s4lzIjCb\nnNFPA0TEfVS3uP5r4G3AY5IWtTsws4lyIjCbIElvBQaos/NlRLwcEdsj4grgEaoFcMymNScCswlI\n7vC/DNw4eqtgPTKMHwAAAGdJREFUSedKmp18Pw/4eao7gppNa541ZNbcLEmPAz1Ui4b8HVBvy/F3\nADdK6qd6k7UtIh5pX5hmk+PdR83MSs5dQ2ZmJedEYGZWck4EZmYl50RgZlZyTgRmZiXnRGBmVnJO\nBGZmJff/EO/zXgKlhxcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c785262160>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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p6CFc+vCrWQ0xTfVJJh09xLlNQtOB9dqJPKOLm/WjwG2aNc+cRlHJ103VkQjC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\nxlkiMMaYGmeJwBhjapwlAmOMqXH/PxwMy2uZoB4tAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c7852054e0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bxMXxUGrwPo/6hDhvadzd93JLVq9j+b3XckfHV3hlwAx+1/kFJqy6KLwXUICN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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c7853212b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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G+W7XCVzmuGREE4EjdcRh4N5F3w7cfxd9GwaOCOx/T7SDlt4taQJEFV4Y+Tn2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\nTBAYhmE0Of8fUcGaMPwuuT4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c7851dca20>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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vqnqv971ORCaq6suZ9lPVDbi5mtTlLwJH9E1cwzCMYFKDIOccv1/utepzSOWS\nGJksqz2DBfLrJNNYm9aypMvFv8ytaerb5P0AIxez2M2AP+y021tmGBXPivXNTFl8P3vP+yNTFt/P\nivXNpRbJ6ANBQZAX3fZ47r9nYOLKZFp0FHWxag4+YRaceDltdXsQV2FjfDTzOs9mZXwqsWqhseqt\njMcZLOSiXGpUtUcNe58tqt6oePr9QjLKhrAgyKX3PJvbASbNZM1BC2nW0ahCPGWuo01r+Un3qSw6\n+SA3Gpo0k/oLn2HljCc5tf433BmfypeGP8xju15AVUVPw0dHLq7Ib4rIdFVdCSAiJwGbCyuWYRSe\nTC+knM0pRlkQFuzY3Nqe7koc8tvOfmpfmne6ImDTq1b1xqroKC7jNI7+3Hlp+844ZJxzTb77QleN\nsivoyM7ra7BNv+SiXM4FbhCRX+Da51XgzIJKZRhFoL9R2UaZsKGJfwz9Prvrm7ToaJZ0zWRl3MWZ\nCPQERyZGpkCggvH/7qmxKpedenCwUtrQlBzzEsSICWyqGceYzf+kahBpmFy8xV5Q1SOB/YH9VfXD\nqvp84UUzjMISFn0dGpVt5M+GJrj0QFjQ4P5vSI8F6ffx7zyfsbyZ5jYcUOoro6ks7Hcf11AXPpJN\nlEAORVhx9D18Yut3md15Hhvjo4mr5B7rUsHKKFS5iMgZ3v8LROQCXCqWr/m+G0ZFM+f4/aiLVSct\nq4tVM+f4/Uok0QAj0avf9iqg7v+d50erYAJe7vXSwfdrbw6d+QgbmfbpfsjiwtxWN5aLbnucrW2d\nrIxPZWrH5bx35w1s0eEZ9+uhgqdvMo1cEpH4u4T8GUZFM+OQcSw6+SDGNdQhuB5qz4St0X+CevX+\nMsFREPJyH8tmxmUbmaaMqmZUr87/fkgUDgsiVseSzlPT5vUAFnadmdvopYJHLqIZrtBLPHm+ql5a\nPJHSmTx5sq5du7aUIhiGkS8LGgjueour9hgFlx4YHJ8yYgIrjr6Hi257POnlXherdgojNT8YOFfk\nlHotSaQkq+wpGhY05yJVcNiX2XvVtNDBxzNDvshQSVc8fuJA1YJtGbfJhIisU9XJfT5AP8g45+Il\nnpxeJFkMw8iFQs9jREVYrz5Tbz9fguJTvGqRGUem+Y6qwkx84BRS3cjk7TUOa6/mJ3XXMb1qFY/X\nfpmXhpze8/fMkC9Sk4PNq5Lr0OfiLfZ3z1NsOfBuYqGqPlIwqQzDCGZDE113fKs3D9a2V913CO9x\nl4pp84NHB4kefxQkrjl1ROEtTxTySiNsriRseZgyuvtCuPAlt759S8pOysn6v8yIQXWKeWsomUcs\nvUeoXMtYLsrlw95/v0pPFP0edQNiAAAgAElEQVQyDKOItN09n/qUBIs13Tvc8nJTLlle/JGeJ99j\nhqV7CRtVhSmd9i2sWflrDtu2MXCUIaQrlryo4An9rMpFVT9WDEEMw8hOWEbesOUlpy8v/mKQ76gq\nQ+6xxnVLaNFRjK+y2HI/mVyR/0NEHhOR7SLyDxEJKvRlGEYRCc3IG7LcCGHSTPjg6SCe67FU80Lj\nSUz50+jgPHMZTHmNbKaOHYO2nHEYmeaL/gf4Hi4t/s+Ay4oikWEMYrIl0lxWe0ZajfY2rWVZ7RnF\nFDNnyjYx6IYmeOxGUG/uQ7tpfPk2Dnv73uA8c5Nmpk/aeygwqmr7oE6vH0Qm5VKlqveq6k5VvRkY\nUyyhDGMwkksizYNPmMV8ndUT6b0xPpr5Ostl6i0zyjoxaMAEfV1KNcm0aP5PXpLmmRZXBlVKl3zI\nNOfSICInh31X1dsKJ5ZhDD5ySaTp/p/HqfdM61vdkiJSzolBddvGQC8sfzVJ8KL5vfgW3baRbQwn\nrsNpkHdpiY+iUWyeJYxMyuWvwIkh3xUw5WLkTb8KOg1wWlrbfdl4N/ckYbyzdWrSdqHutWVGOScG\nfYPRjOXNtOWJapIJzhr+MNzpCoMJ0MA7tFHL7I6vc2d8Kn+rPZ/xpmACCVUuqvrlYgpiDHwSZpJE\nbzZbltrBxlnDH2Zu57KeKobjxSVhHBmrBU4orXB9oLGhricjceryUrOo4xQWxZYlVYz0V5MEF80/\nN7Yc2tNzl82taWJlx1SWds1MO47hqOQAUKPC6HdBpwHO3NjytJdUvXS4F1wl4WUQWLXjZFYPOZ/p\nVat6VpVLYtC1ux7HvM6zk+au5nWezR/1I0nR/PUhLt4J89kd8anc0v3RtOJiRm5BlIYRCeVsJikH\nwl5kYcvLEl99EwHGyWYuqf0t0uFe6H02gwbl9fLiZ/piap1z/H5cdFtHUs2Wulg1P01NVPlgcHyL\n33x2TNV6m9QPwJSLUTTK2UxSFuQbNV6OBHlhsZOfj7kTvrMor0MllMbkt+9lce1vqWOnW+HL67Wi\ne0qfTK2JdalKCUiqXHnZ/t/i8Md/mHRNqeYzm9QPJqtZTETqReQ/ReQ33vd9ReTThRfNGGhY/ZQs\nZEjCWDHkm7MrBL8b85yapl7FksBLMtkfU+uMQ8axet4xvLT4BFbPc9msUl2nz1yzF2sOWggjJqAI\nrzOGeZ1nA7Cq9nxeHHI6cZtdCCSXVvkdsBP4kPd9I/CjgklklIYiZNq1+ilZmDTTZdgdMQEQ9z9T\nCvhyJKJMyH6lEToy2LYxUlNrmKKa/dS+8J0nkAWtjF3wPCPra1kcW8b4qs1UCdRI3KLzA8jFLLaP\nqp4qIp8HUNV2EYtFHVCk1gH3pxOP+MVWKW60JaNcc3HlSkSZkP3KoUVHB7v7jhhP49DoTK25Kqq5\nseXUdyU7XoiAKhal7yOXkUuHiNTh5ecUkX0gdYxqVDTFqBhoDApWdE9hgZ7jvLAQ2ur26NPoy68c\nlnTNTEt5k1BYUZpawxRS6vKKcrAoIbkolx8C/wtMEJEbgPuAuQWVyiguEdnJjcFNYp7kmu1HuFrx\nO27gsO2XsaJ7St7H8iuNlfGpzOs8m2YdjaaYC6M0teasqEJMfDZqSSZjmeOejURGAUfiyhP8U1WL\n6h5hZY4LTIZSsXznieLLY1QcK9Y3892mx+gOeJ+Ma6jrmTDP95j9zeawZuWvmfDIUnbXN9kkY3h3\nr2ns07o63aXZl+LlDUazqOOUcNfpVDNyAVEFWViZZY6zKhcRmQI8qqrvisgZwKHAz1X1lSz7TQCu\nA8biSkFfpao/F5GRuKqWE4GXgZmqujXTsUy5RERYrEDQw5KtnrhheKRmXkhFgJcWFyHDQMr9/ULD\nFBpfvo06X2Bq2rxIrM6l3n/sxvzu/w1NdN12DjXEC3MtfnkrVLnkYhb7JdAmIh8E5gCv4JRGNrqA\n76rqB3Cjnm+IyP7APOA+Vd0XZ2Kb1yfJBzv5eneF1QDf0DQwvJT6SqXUoy9jgrys/BQljing/t77\n5ZuSFAsEmK4624mv+13ec44ruqdQpYVVLJVOLt5iXaqqInIScLmq/lZEzsq2k6q+BrzmfX5HRJ4G\nxgEnAUd7m10LPAhc2AfZBy998e7KNGmf8FAaDMrETxG95MqNKBOIZnL7jSSOKUN0fg8B93euUfMS\njwcXqt/2KmxoYkX3lKS2+tj7x3DrumYmS4gXmwHkNnJ5R0QuAs4A/igi1UAsn5OIyETgEOBfwHs8\nxZNQQLuH7DNLRNaKyNo330zPXjqo6Yt3l03apzNIveSirrMSNjKpFul/HFOmEbcP7cd93J3hNdh1\nx7dYdfuVSW11wz//TXtnN/fFD845vmUwxsHkolxOxbkef1VVX8eNPpbmegIRGQ7cCsxW1bdz3U9V\nr1LVyao6ecyY0tYpK7tqen1RFBEFtw0oBovCTTH9PfrHqyJNIBrmZfXTmR/sf0xTDh2AFeub01Ll\nJ8iWUDKu8Pf4B0K3q+newWxuSlqW2HRa1aM5e4gNRk+yrMpFVV9X1Z+p6t+87/9W1VzmXBCRGE6x\n3OArLvaGiOzhrd8D2NQ30YtDWVbTy0VRpM4l7Pvxyk8tEjWDQeEG9Pzndl6ZlKk4QV8TiPrdgU+q\nWsU/h36bp6pPY8aDx/d/DiuHDsDSe57lks70WJg2reX33cfyVnx44MghrrAqfgBHVj2b0YSWWkCs\nd7mZxDKRS26xd0Tkbe9vh4h0i0hW9wUviv+3wNOq+jPfqpVAYs7mLOCOvgheLMoxTfyafb5Fe8qD\n1K61rNnnW+5LkCnhsRudV8xgnLQPYyDk8spGQM+/PqWcb4L+TLzPOGQcqz+1mZ8P+x1jeRPJYMLK\nixw6AC2t7T2xMKkp9BfL15hW/Tuu6z6WbhVUnYlquw5hdud5HFj1CrXSlVGEsFFRi47u82UNBrJO\n6KvqLv7vIjIDOCKHY08Bvgg8LiKPesu+DywGmkTkq8C/gVPykrjIlGOa+NlP7cthnWd7FQvfokVH\nsaRrJuue2pfV0wk3Jay7Bj7zq8GtUPwk2iHbZHElE9LzT+2NRzLxns1ppC8EpZNB3EjcI5Fte2V8\nalIK/WoRfnryQYx79S4OXPcQ1dI7fKnyhjK7sT3j6buqh3JZ/LSkZYIzjS3pmsliKxQWSt4p91V1\nhYhkdR9W1VUE+2AATMv3vKUiLE18Q30sKTV3Mcv1trS200zygwQgCTnDTAnaPWi8oXJmoHvJhaTx\n31E/lnF1ddHev4WYw5o0E/79T1h7Nb2zHepG4nseCZNmerVZXJxNb5not9hRP5b66ovhhSsgqAhb\nwOgtgQLN8dEsqzmDoYd+ji89cQtnd1xPY9VbbIvtzn/vPIVbOqZCJz3nE8GN2AwgB+UiIif7vlYB\nk2HwtKD/xk0Qqxa27+hia1snUPxyvVnrooTVBYH+9ySNyiIkkWT9Jy9m9aT8o+YzUoh6NBua3Ig7\n9ZXju48Tz9yjf7wqqUx0fft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6C5/p1zmht8rdbG7qeZgu4zSmfua8zCaZAtSyz+Z5lPrA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\nhmFEzv8PfziwKj86n2IAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c7852b9dd8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KjUq+p/ubwUbhUxdDrMCzKJZw2ivAaiYbhtGfjGhhsHZzOzOXP8TF288gyai897q0jgT7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\nR3zKiQEpXGyUoFDYh/EwCluUZ6CK9wR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"text/plain": [
"<matplotlib.figure.Figure at 0x2c7852bce80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X = boston.data\n",
"y = boston.target\n",
"\n",
"lr = LinearRegression()\n",
"lr.fit(X, y)\n",
"print(\"Score:\", lr.score(X, y))\n",
"y_pred = lr.predict(X)\n",
"\n",
"for n, feature, name in zip(range(len(feature_desc)), feature_desc, boston.feature_names):\n",
" plt.scatter(X[:, n], y)\n",
" plt.scatter(X[:, n], y_pred)\n",
" plt.title(feature)\n",
" plt.xlabel(name)\n",
" plt.ylabel('House Price')\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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7gHmR5rRNM6fCNMaEWyEji38M3EF/756L3HXDIv3lUPYaKladdvUNCmv++Xc5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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c78299f550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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okhQjn5wXqNilsnT/C2nLeYfatIml+19YeOcQzg9Txrbw+MxjeWXOSTw+89ia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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c7851e8c88>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ibu8bFWFzdPvAc95nUE595C6N8p+dU4pofEYbivUiSo1ozUc8HKWa0apcJtJb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\nEztdkATAQNUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c785110f98>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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MR8S11L/Cu0trozIzK6+Zu2/FzEueZfaynZ4v6+kSp+++VYFRtYeWJDJJ76zo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\nbH2wTqy87lcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c784deadd8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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y63R4uA0LBIo5MQot2z7N5lgHM2qWZAPWruJrTDpmevZQLTq8cJBdX8ti2t1A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\ngCwIT8Bsor7tncBd4wILEtc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xgoN3XM3H2m9hRWa/0PchE3JE9/rsF4rpUIVnGGN98Jlp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\nZrgYmJkZLgZmZoaLgZmZ4WJgZmbA/wAjLFeKAux+TgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c78504ec50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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yQuKX3NXaxdTYVvpW7sHuH4cYE3/V8crRRP4TxWNOMfdC9i2CXp3kdMxx3Epk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\nVUUlVXjT7u/z7JizfGcqqe2ZZArPAxY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nInKQ+/5S/14VkUtq3a5yIyKfF5GnReQpEfmB\niIytdZvKjYhc7N7f0yN5h1ahrLxcDPwZ2LPWDakw71XV0RygcwPwU1X9iIi0Am21blA5UdVngCPA\nGbwAPcB9NW1UmRGRDuAi4G2qGhORLuBM4Ls1bVgZEZFDgE8BxwADwE9F5EFV/Wux57IZQZkQkWnA\nScDyWrfFKB0R2RM4Dvg2gKoOqGpfbVtVUWYDf1fVRoncL4YWICoiLTjCvLfG7Sk3bwUeV9V+VR0E\nfgl8qJQTmSAoH9cDC4BkrRtSYRT4mYisE5Hza92YCvAmYAvwv66ab7mIjKt1oyrImcAPat2IcqOq\nPcBXgBeATcAOVf1ZbVtVdp4CjhORSSLSBnwQmF7KiUwQlAERORl4WVXX1botVWCmqr4d+ADwGRE5\nrtYNKjMtwNuB/1HVI4HXgYW1bVJlcNVec4C7a92WciMiewGnAm8EpgLjROTs2raqvKjqn4FrgYeB\nnwJPAoOlnMsEQXmYCcwRkeeAHwLHi8gdtW1SZVDVXvfvyzh65WNq26KysxHYqKq/c5fvwREMo5EP\nAH9Q1Zdq3ZAK8D7gH6q6RVXjwArgnTVuU9lR1W+r6ttV9TjgFaBo+wCYICgLqrpIVaep6gE4U+1H\nVXVUjT4ARGSciOyR+gy8H2d6OmpQ1c3AiyJykLtqNvCnGjapknyUUagWcnkBOFZE2kREcN7jn2vc\nprIjInu7f/cDTqPE92leQ0YxvAG4z/ld0QLcqao/rW2TKsLngO+7qpNngU/UuD1lx9UpnwBcUOu2\nVAJV/Z2I3AP8AUddsp7RmWriXhGZBMSBz6jq9lJOYikmDMMwmhxTDRmGYTQ5JggMwzCaHBMEhmEY\nTY4JAsMwjCbHBIFhGEaTY4LAMPIgIgk3S+dTIvKAiLS76w8QERWR//LsO1lE4iLyjdq12DCKwwSB\nYeQnpqpHqOohONGbn/FsexY42bN8OvB0NRtnGCPFBIFhFMdvgQ7Pcgz4s4jMcJfPALqq3irDGAEm\nCAyjQNzc/bOB7oxNPwTOdFORJxh96Y6NUY4JAsPIT1REngC2ARNxsj16+SlOuoaPAndVuW2GMWJM\nEBhGfmKqegSwP9BKuo0AVR0A1gFfBO6tfvMMY2SYIDCMAlHVHTjlD78kIpGMzV8FLlXVbdVvmWGM\nDBMEhlEEqroepwDImRnrn1bV22rTKsMYGZZ91DAMo8mxGYFhGEaTY4LAMAyjyTFBYBiG0eSYIDAM\nw2hyTBAYhmE0OSYIDMMwmhwTBIZhGE3O/we3JKWhFm4kdwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c784fdfac8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cg6EpNZRs0076SXPhfiWwJoZi1NQMorZ4NTfJlXzQZCXufIztVrjekadZkSJF\noZ2RMizDp27CE+DCcYdw05Tjirx+EbDfhdq9iS1qMAtap+aRnLkn3HKyzga1x5koH/rwGD6bWZvr\nlwvbrPaFclh3kI3z8NmPmaZi3p5/ZqjbyUMxgsmPnfScn7VP9iahYjo+NQhmvV1820MiYh/tZjAW\n8D53PFMm3Z7XgVZ8eAznyNM538EI2Z6LlplywtzyNswzGGrS75mt9SU44UI7OKtS7QMyNYiqMxa4\nIm1c2Zu3Hlt0G9zqedj2mCJ07n7xXcYeOqhyAtl+F4LFa+NmvPTmhXSUdbaY9gCweyPnqo2IHWIy\nwtW+R3bVmc/joIOJZWX3kRST8ayLlgKLR8ttfrSPW75+M4v+5w223PMYwwakWLVvoz4qMP1BaW0v\nM6KooU6CLzeMJ6Lis5m1BQ5kU7RMhwvSaAaDNnoJQGKh+GXcbYoZTpYbvM5k4zbptPlEwQRNGgHx\n3mEzck0CQ0H5OY0c+NBT6Nq1ZVeaybFVrEpew1t9vsqq5DVMjq0qXxRRiL7htC/UZFxMZIwm3r5s\nkXEOihFMTrSUjoPIEx3kJQQc8+FKM89iN6FjjwRBR/DodTB3ENT3t/4+ep1x12JC/0xRMd7tZWGg\nNJFdeTquAptF1D9xx9umjGYE5A3eYikL/AZOahBrjpubxzK55ri5eau7sJOJ38RWsXBNw7tw6Ckg\nv12X9PtDLvQ45iJDu6TfHyraHl37Qk3GWoZPsfqTe3FhIKmbEl9d3kTCYkM2R00FTdY4kPesvIu+\nmVUN2sI4IJ0WFRSESBCUikevs2zVjlNVZazvBmFQDDfMvpSeZsq7fdETbzAx81zeinBi5rn8FWtQ\ntqOh0+9U/diUrSWrhDYVK1RrDZO1idY6LqIfvMWaCybMoY3CVVmbitEw5J+4eM2hjNt3Gx9vvptx\n+27j4jWH5gnGsAyfM04/ypjgV7FwTcO72KIGA4UCa2bifq3m6JuNWgyjasjV6r6aoeEm41FTc4Ja\nKbCmVHuh4F5c+CwO8rLgZ5/aMRNYKRnPIYSHd6FgjgxU3YZ0LxIEpWLdfxW1vRi1tuaMebTFq/O2\nZSRBDc15A3jshysLVoSLE0t4IX0OTQuOtoRSEP2vZjC0xav5UfIyvtByO19IPUxcDHqtZrI2rZaz\nSukHb5GrsuWZ8fxzyxXsyPZDKUtz2an6cV3rlVz/l0+GomYOM5lMOWE4F447pEAYVDRcU/Mu0vRh\nUdtUrcAqOhu1WDpoTXu8PaEtXk3NGZ4FgUHYLF+/OSeoN6vawsnHnuw7jZK5lOS4EMKjwMyoavXn\n6j+yxIaXH5GzuFR4wysDthfiIm+0AAAgAElEQVSV8DVqqvViXFW+4s0ftdvR7QE8N1lFDfkrQkcF\nrUm/h1r7C/NK3unsmvjlqglzGJ0Zz0q7rX+v1lPk6ibroh16RVIWLHriDTZn61jRonNO6gVWqaac\nm6Ycx9hDB3VeCKnmXaQmzOE208RULJlbsXTQnvY0pYaybO+xdjSbnUSX/TJ1mfFMcY7xSbxa9ERt\nTlD78Wp1iJK52DyFYpPjQsT7e/M9FrZNZUFiaV7+Q2cmi4VBFD5aIrJzB2pZJrMSI3ZjmSMBDKFn\nbtKx4uBfON4b4TQ5tkrfkTWrp5JCGosYvKYQQrDMTzqfRKjQxi6sF1tyG0yc+alBcMaCwmOLKPiu\nQ6jQW58Q0cP/viB39VXJa7RcTfQfyXe2TeKWxNI8s1eTSnJ962XcdrMP/38H8xQ6Cnd4+JerX+Rq\n7mGo2s77MoS9h07giF2rO71/ReGjFcYyTuNc9b95URRKwTI5jfNMB5U62RhU4tKEAIG2X6+dvzFb\nB63w/eQDeYk7yzPjWTT/ae1q+eXH7uSylrsYFtthZQLH5wGGey1iVWbSOAT4ymdH8tC6zcVn3nZx\nvdii2uDtQ8d/FV5blh91ld6pP7aDdNChAh58fD7ud7ewbSrzPZO9s0pe+z+1zP6QvMSxhW1TWXfg\nRP8GmjSex2dVXMi7F0CTY6v4V2Xfm1iF79myotMEUimIBEGJ+F76YvZUtXFh/GniZMkQ4+7MqdQ3\nX6wXBKVMNs6gN62BU4OsUEsfRsYCrSGESqob8I3ZOh7ZV5dL3Fm+fjOrli3hfu5jWJ/tbGmq5bll\nJ9D05KtMSb/HFARiVrtr0u/53msxGbw6mgV3oldJppygyKXO0BTCmG10feiVe6wcDC90Jp9SmENd\nCGX28xE2M05pf3fO4mJWwprsxfVsZ2Q2c/3DLTS6zH+pRJxbAgS62r1JuzhS6Z2Ix6wKlPU9uhdP\nWv6w7liRzYWKCQIRqQaeB/rY13lQKXWjiBwO3AcMAl4CvqaUKmRd627wrMQu6XceN+75Jje2fTNv\nt+EmW7hpoC+7Ul+WMqBUHomUpf4D6uHLjdrBXtWHfgMOKmoiCzPgX37sTubJnXlJb19VK5HcYR7h\npRkIy9dvziuvCa5EOzA6ccHsaymJb8m4it3YeZpCmOgpUx8y9ZHdm/QaRImFXEJxHfkImyms5rR+\nc6hOb2VLdjBLkxex5sznC96X+x07RZvcTn/T+zX5FgL9ZGWAe/FUal2RrqQ0qaRG0AycqpTaIyIJ\nYJWIPA5cB9yqlLpPRH4GXAr8tILt6Dg0K7Eb4j9jT7KNB1s+n9vN1wxh6gSOc9k7yfhxr3tYSeXx\nWVqOHaXg3xPfov67xWUj6wZ8Ii7sbW7j8NlWpuT9LXdRE8uX38ZENAeuZ6DzJTgIyo4tC7meG6ZV\nrMQ7r9ZuGLNNsVEzqYF6DcJloli+frPRvOdFqICHUVNZ884HjHxpEQep7bwvtWw8bgYnAjxyDTV2\nW0bEtlMvd0D8GHQmQ+ecq5Yt4VrusygtmmpZvOzLgJ5q5ZaWCwp8CwWkdA5KjUAymHfdi6ctqpYR\nOmHgY4IzMg9gFnzlRKjwURGpE5Fv2P8PsVf1vlAW9thfE/ZHAacCD9rbfwXtAQfdBd5s3abH5xRM\nCFWZfczr+1D45JYwdli3OcLYUaWQz/2MBWQkX6ZnFdyjJjK6BFpkb6z9wJoEKKsOspO4Zo6N9oHr\nGZjyDRx0Kse+KSTQFBlWCb77MDHtpj6UGqQ/FnxNXrqExBkPvsLouU8aM9WDQm/dIaLuXA7dGAqq\ndexone7w6HlyJy8/dqd2/7UHTmR262W5/JdN2Vp2qn76k5daJtMQfusOD1/YNrWgVkWQCc6XeaAT\nECgIRORGYBZwvb0pAYSqDCIicRF5GXgfWAm8CexSSjk12TYB2plTRKaLyFoRWbttmyZ0sULQDY7q\nJnO8dujkFm1WpQbOJGPoqJuygxk//2nWNN7RHqv91DziYy6hKXUwWawBMC9xLX3Pua3k1YR7wJ8d\nW80zVVfn0xiYYqMNSKska45oL24fNNFf0u8P4ROfOgpTPLkpzrsStABhYtpNwuKMBfpjTTw2dh/T\nTT6tGZUn8ENnqtu5A5NXHMNK+TaTY6tyP6VbM8bSnn5C9bKWu0JTrYClya6Mn0xdy+18vPlu6lpu\n5xa+XpCTU3LoZkCim7N4eiRbx8LEVTSlDiZsfkJXFx0KYxo6BzgBy56PUmqLiBwQ5uRKqQwwWkQG\nAMuAT+p2Mxx7J3AnWOGjYa5XDugGxxY1WKvqNaWGMjGkWl0Qfywx/YrTmWQ0tlaloEb2MX3PTzh2\n3fPgDBJb5a+xO9sIoL7I+zZiQwMzW5fkzEAO0dgDmZO4QJ73VcOz9ltzWCrXvX4kqydb20x+CIDz\nk7/lBrUUdu9rvz/HbAaVcd6aIpdKca6WGh0WFD0VFMPuPfapeVpz01Zq+ZxPGK4boUjsXKbTGO1U\nFw5ZHphLe/oJ1bBUKw6mxAt9EKPPvIqq+PHl6TMBfpx8k+WZQHiT7LABKRfFdjuza2CkVJkQRhC0\nKKWUiJVeKiL+FUo0UErtEpFngXHAABGpsrWCEcCWYs9XSegksC7UrS1ezZy957G5xdo/lE3PPdBN\nMc/OJOPs9/gsK+oBa5IdxB6+Fv9NIXdJuW3XuclsIzUaorEJsZdZmLiKmYn7cwPvqexoJsRezgv5\ncyYCAHE9W50fAmBAKsG86oeoSu8rvL/HZ+VHSZXqvA07UZdSLKTUUFQPFfjC1mn8as9n9IV8wkZe\naRYTaZXk5tYLiqgHF2JV6kOW50T+LE1eZPkEvCvqlr3WvWvuaV9qqBVxptvufYdHnmYthlw+iFlt\nP2X2Ay0sOnAiM05/ouO29g6G3/ph8af+wrHr2nN1Rsh2FiSW8uqnDsOyplcWYXwEDSJyB9YEfjnw\nG+DnQQfZvoQB9v8p4B+APwHPAOfbu10CrCil4ZWCLgO20Vb13Kr3TXJlnqMYirTphTEFjJoKyb4F\nUQ96AivKZ7ve0EDbiqt9ywIOkx20HXs+c/aex5bsYIbJdks4tE3NqeVAHg+SmwxNx/mzeNpoXr7x\nNDNFQnqn2c4clkOnWJqFYmvtFkuiZ7ep/XkratLvMad1MW/1+Sr3N13OqmVLfM0zaxrv4MTlJ/FC\n+hxeSF7DmA9XWiadzPi8PraVIcxqvSxPOIdBILdSAFleKhG3fFWTbrf8GW44OQ+a56+jWmmLV1Nz\nzJcK3+Ha/yx47imaWZxYEuoZhkIp3EQhceKbP8pP2ARS0sKJb/6ow+cOg1CZxSIyETgNKxLrCaXU\nyhDHjMJyBsexBE6DUmqeiHyc9vDR9cBFSilNFZR2dDizuAhVPWxmbNmLZJhQ3z/8viUUjtGhacHR\n2pVY3j6pg1nYOs0yG3kyQGe3XgZQoEW1SB+S5/w4eDI1Zaf6IZEq1K6KKTBSpmdXSvZu0PNuUkkW\nJq6i/gaNqWFDA+mH/4kUzXn7z269jHUHTszLqPbLyhZgQE2CPfvaaM2275WICf2qq9jV1Go2fxqe\n6aZsLdNqfp5/TLHPXzd2DSYvP/g+w2JQqQz0DmZ9m1C2zGI7QugFZ/IXkZSIHKaUesfvOKXUBizf\ngnf7W8Bngq5bNhSpqoflBOq0QuIS1/oSwtZqLSU22ejYc12r5ox5XPbg9QUhpG7+fK+jL6maaXp8\nDjVBA8cUi16V0peiLCbMs4PFUQJhDEWNtZtAHr3OIidUGZA4KVN0ko12B6lnEtvQAMuuJEWmYP+Z\nVQ18wVMsxtRn3RQR7v7SP5Vgb0tbLs/DaP40vK8Rk25h9SiPWaPY568zhT1cfCSc8RkWi2K5icKi\ngmanMAhjGnoAhzHWQsbe1jNQgqoehp2y7EUyTDBNEkK7WSk1yJokH55ewPZYSr2CLdnB+qYo2ifd\np+YxTOf8wzIJmMJLA4UMmM1mZyzoeJhnsRz0xcIUHeZUsvrV5EL68hAG+wIHqbPAMdz7MNlRsCgJ\n02fdfb9vnypaM/mN05o/nfflNvvosp3B+Jy3UpvXL30LLhnflX8ii/sZhi7oVAxtdwew5oirC0JO\nmzyRdpVEGEFQ5c78tf9P+uzfvdDRFaChI4TltQ8NU4czhDCKo0qfe6flQE3vxGvzLjU2eWnyooJO\n2azitEpVXgKcadhlET4wxG+bhEwBdLb5coR5HulYOF0o1s7rNzkEVbJ6+7mCzSKFhYC8KKhR4Zdw\nCLzH4IJFSbF9tuiQRndlOZPtXyMom1SSm1suyC1SAhcwJlv92G9C/5FGueo8w9ALpGL9SR3A5esP\nL8iBmN16GZevD0zZKgvCRA1tE5HJSqlGABE5Gyghm6iL0BGVK8CsVLYMV7/rBPHD+BBt3d8Us3iA\nXEXGITgKZPSZ05mzrI1r1X25CKAaaWYQH+XtJ+gZUKskywHso1nF6SPtgqhJJa3okeAnYkZHwjw3\nNFiZtXlThVi0C2HVfduxW5VpD21tW3E1Ve++mE/dEGDu0WFTtjanSbkDArSc/z4LmTR92DJmZmHf\n3NDAlGfnMWXfJviYY982R6QUFdJo6ocPX2795tjS7ee86+Hr6K+s/pS2Fx3uRYpvLeaAaC7xviPy\nn2HoWs+Ge2p6fA4T/6c20NxajFl2V7qVRury+JXshmn3LzfCCIIrgbtF5MdYY34jcHFFW1VOTJij\n7RRVYVaAxfK3lwq/6zgONJODyjQhpHcyQlNkvDFbF+jHsDrrVUx7YkKuE6/ad652X5NWkJQ2dqp+\nbMtW54TJoraprGj+DCvnP11eHpWwYZ7aVbSyJvCQaHp8DjWZ/NDWqsy+/NoPxTq6ARWLcRY/ZVe6\nlcmxVcxONnAwFhlble5efGgxUuf8mBO9+5cQ1lpUSKOfhq25VlI153xcg2VPrn8+sssc0ZS3gPGz\n1XvreXieoWkhtHlXmuXrNwdWz6tu2srmZp+w8Q0NND0+h8lNWxmrBrMwNpXGXXWdShlRLAIFgVLq\nTWCciPTDijL6KOiY7oTlmfGsar3M5isxFNMwodKOxZDXWZ4Zz6Lm29myL82w6hQzMke1t900IXjg\nOBBXqpND+TEKtJ1bw13HjYGyl0mp/2bzrnROe4AK8aiEceKV4X2afBxhKcF1GpRS8PahU3n5G6fZ\nW84EfHj3wawpmjJYw7KbuibPE1v2tict2khJCwevXcj414/MF+ZB/dB9rafm6UtsVjWwrsbSNnRO\nbSvbfFa4iB2f/uCXzDjjwVeob3yN3elWfmcoyOSUDnWQp03YAremNQ1iCc/bEku4Uf2auW0Xs+iJ\npLbPD6xJ5JEvurd3Bow+AhG5yP57nYhcB0wHLnd97xFY9MQbPNjy+by08wdbPh8u3r/SjsWA822l\nlsNmP8Z373+5OHupAcNiO0r3YxRxHQeSGsjq2acyfECqwG7bmTwqOZThfYb2cRigExh76cPFf59W\n3InC5KG4ESQEdfZwXYQWliO6pH7oXMsn72DG6UdpndpWtvnPymKv150frAJMz8Sv5qXsBbyQvIYn\n2o7Pma0cNKkkC9sKn3FOy9AIXBEYHLO0nrEf6iPvb5x0DIl4fu9IxIUbJx1TzK2VDD9nsZNBfIDh\n0yPQIQ6PCiaQBF0nbTvQACbFVpkL1OsmBG/Sjo1Y/xGlr8CLuE4OzR/BhoYu51HJoQzvU+dIzxod\nveH0hL40c3/T5cVPasUkuwUJwQDnsxvOijhPmOf1j4A2GNqyr2ZoThP1OrXn9X0oz7wLBCfqGeCc\n343JsVX8eyKf4O4r8WdpyJzEVobg9PmFiau0CXk5c6uPdlkjLVyf1AdcTjlhOIvOPz7vnhedf3yn\nmZGMgkApdYeIxIEPlVJzvZ9OaV0ZYLKHa7d7o0Gg+OLWpcAzybozQCfHVhUUqC9YWXgnBFOYZUcF\nmO46cZ8AsmyrFWZazDuoJEyraAgdIjj6zOnMUdPzojvuVRP1xGZ2FEuQ4BT7vYZe4ZYS0mgSgkee\nVlQCX1bBcNneTj7otdt/91U49+f+/c/QFrdD3BvCbcw2372xuOdgP7spK47hxerv5Mjx6hO/Jilt\nebsmpY1J8Rf53L7bcn1+9JnT/UNwA7TLj/nE2UyJr2Z1n2t4u/pCVve5hinx1cH3Uyb4+giUUhkR\nmQzc2kntKTtCFdMArTNNPXw57w8ex8fKkXEaALcfwL3A1FU7al9ZGOzIpXDkuFFM9mRQ3OPuTcw4\nW/8OFn/qL3DrNZWv/uWG13ZcUsJhviN9xulHURVfHfzMNNEseQhTFW1DA6z4NmRchIMrvm1sb959\ne89r8/P4agKpQZDsS3b3RlDt0UxOAMKgRBLLpxFwLR05XjH909cHoQLfG1DwroeyjQW2k3oge7SH\nDGRP3oIlsBSrznfjgvQfoR9f0KXlUgMpJkTk34D+wP3AXme7UuqlyjatHR2lmAgVxmUqEK/g/dpx\nfOzqJyqWXu5XpOWtPl/VcgspBLFTz8ta2UhDhtcWr+YmubKQBC3MSjI1CGa9XdDGxZ/6Cyf+8cai\nCo2vabzDLniyjfdlCBs/PYMTJ19R8AwG1CRQCnanfWgRHCw4XG8LLxflhBd2REkq/Z7ZcORHl2Fq\nr/2ci0LQ+3Nd10SD0ZQ6mJpZfw51OecdOVXHMkox3P1+/MZXUMU+BxIHldWPTx8qjOGyXVvARilY\nMeX1/P6jEegKkNSgXNVAdMWiEikrVNkrfP2y5jvYD8NSTIQRBM9oNiulVOUp8Wx0mGsoDIxcH/ZL\nHnspbevvLgxDPftHxQsDT4ev33se/7VHz7qxKnmNgb7X6iAmbqTzxgznmT9vK144+AwWh0guERf6\nJqt4KXuBmQAv1xj9BNX8b4fSp1XDoWLo+Gsa7+DYdTfkEXOlVZJXx9zE5pFnGQUp6LmiAOs9PHy5\n9hiFnbQXRtibJjC/ic00CRsoRXLPxY97qn63fzsL9jf3eastMXtSHekjMMJx4fgtdlKJOL8+8W/B\nCwP38wyTju093nC/WSV8oPoyOFaoFTQn+tPnX97Nu3ZWhJjKFuxbcM0y8SQV/V5dKJsg6A7oFEEQ\nsDrShf1B8IpItxI+4ZU5eQLFIQnTOaHOjq1ifvIXeaRi7s42fv7T2lA4d7gm+EyGXvgMlo833523\nzSikXHBrLg7WNN7B2HUzDaUt9RPL1vpPaEP5tjKE86rvZPqen3Bh/GniZMkQ4+7MqXn1pN18OjmE\n0GjS9GF2y6WsPXCiXpgakpeqTrhQv/JzTxK68E/Dijf3HMspCIoi9/P2KBuuBYmfVmrqpw5erP6O\n9v3mrhFydW9qn98xm7JWotyixB15CZDEEjBlifV/GG1Ed00vgoSvFxKHG/XRW6EODykI/MJHPysi\nr4jIHhH5nYjoisr0HkyY42vuNi18/bhzlq/fzKplFg3umzal8BHr5hXYiN1EbWBFMLzUZzpvV3+V\n25JLSCWqbEdjocPaFHlTcrimwdnljZ0GQ0k+D/5OeyUzh9/l4LULzfWN7et7uWAOUvpJ4iC1nSv2\n/ISL47+hSrKIWJnNF8d/w9yq/2xvv+45hcgfSNHMjKoGIw1B0+NzCt6nk2Dmy3FlcFxbVa0KsUUN\ntq5titQKiuDS4cjTgvfJQbMUsh3AYSgbgiLETO8X0IeKFlvxz3CMEw7amK1jRusVbMrWknsfU5bk\n8h5CCwHvNd3Y0GBpWcWghAz1UuDXqp8A3wMGAz8EFndKi7oIyzPjaQ2dFtQOv7hyXc1Vk1PK4W53\nwtgGyZ721rTupSW9m++0fIvxzbdbPPPOcbYja7InxNRdKjDX1hJDZk2x043ZOhc/SqHfuEklucUO\ngXVPFiZCOqUwTiym0pjvSy1frXq6QLCIwIXxp3PftaUvQ+YPOO9GJ0yLTjDbvaldyN3T13qfZ7+W\nC/9c2DpNSz62oHWqdW1NfeqMVMEx52gjiYzkajm6jfDIorTlF8NwWgVFiL0vQ/wv7g0V9QpSHbcT\n5L/jUVNZc9xctjIkj8/H0cQbs3VMq/l5Xjju8vWbyRabQKpZzNTfdKNVc0I3sSdSNCf0mp5pYVBu\n+AmCmFJqpVKqWSn1ABDwpno2Xn7sThJF1W1qnyBN7IW6mqumlfAWNZjhA1LMrGooCGMDSJLJrUxn\nPPhK7nozTj+K85O/1YaYeoVBqHBNzwBrSh3MMnUyM6satEKmMVvHwrap7CNZUKbygcxJrLV5adyT\nhWlS/4B+xolFp32kVZKNn55BHL291tluTEY68rRQq0q3NuQVpsUmmDWlhvqunn+15zNa8rHGbB1b\ndqVZnhnPrMyVeb/fl/kibevvLri/NY13FGikuQItxa5ygS3ZWsbsWZwnuHTPxMHmXemcAPri0UNI\nJeLaBUsqEWfjp2cUhuB64Z6Qvfb3MYW1idvi1bmFxfj5T3PY7MeY+tsRjNt3Wy651G2O9UYTOguS\nD7L6oowZzeLHpCVd1nKXPlpM4jDpdh5t+1zBuZSCx/cd7/9MygQ/QTBARM51PprvvQqXtdxlNld4\noBR5A9RkNjDVVtWtnJcmL2L17FMZYTgG2lemrRnF3EdeA6xwtnl9HzKm7LcPvAtZKVeFi7V25QvU\nnDGPaYkXfIXMrERhiGtM4B/iL+cGlnuy0E3qTSpJfevFBfs6cLQPZzW3lSG8OuYmTpx8BWJYDWaI\nERcxJyOt/QVUpWhODCCrhB3ZfrSo/NW2VxvyCtOnsycERtDmkEjxg/QFvqvnYQNSOeG6i74MtykK\n1iWnc0m/P2gz5U9mvfb+PvXSv7JQfpz37ubJnbz82J1F06Q4zyFvpW/H5L9ZfaFRC3WE3UPrNjP3\n8NdYkPxFXnsWJH9hOYonX8FNYgk44/N0VveaLOi29Xdzf+sXCgToDW99MjchO+3RoYCJdUMD41ac\nzOuxaQySQi0+I1X8IHEt17ZexVaGoAK0JJMWjMrCqKl8NrNWq9V+NlNh36gNvzyC54BJhu8KeLhS\njeoK+E3a7hdkcuzq2AtNNVc/oB9NLjK2xXyZujPtYhs+8dLulamblyRlME8MsydtZ5KuSb8XKjbZ\n7fj7XfX3GYrep9HYUkcqEeNgMRQZlx255+Hmd2nM1kErNqtle31jh9XSxAWz7sCJDJ1t5U4MtT9s\naKBVklRl03nvSSm4NzuB/5h6PDUrfGogpHcSj1fzL3I19zaPY3JsVUG7nHetyz85NbbedwHRRoyY\nUrwvtTx/8Le49/+O1u7nCL8Zpx/Fcw/9hAXxO/M0w8Gyh3/N/JgPmlrYjKfgjGGSqXERu+W2SQvX\ntC6FWCy0/blNxfL6/JZd6VAF691It2aoe3dJftADlg/GKsd4Bb/a8xl2xlqoT/yagWqPufCSRpup\nyuzjZNbnItscxH+/kYyPpM697/R23l8xhDUbZ3DiYQPhkWsYStpo49udrWZln5OZccFRDD2hMJ+n\nQHNUtYzQvKet1PLi+s1MNsw/pnmp3DAKAqXUNzqlBd0EWxnMME3W316q2ZXtZyzI7ob35decMU8b\nUfLm8XO49vUj9REWE+bkJwzZaFZxrZ0eLIesLuJCKKwSFsSe6g3zO0ht0w6G4bKdt/p8lfeoZZfq\nq101ics+603sa8zmU+6mEnFusSdZUxJgQQKanRCVyLYPWKWsegh3ZSZwa2I6L58wnKYn9QLZQVVm\nH9/O3sO9jCtoF1iTxfeTD/AxtiPPjoB4ewSL30BVCnarGua2XUxjtg75P+OuOU1jygnDOe3Jh0mm\nC82DcdXG9ckHWLEvv32mScYkoAbKnqICV2KovD4/bEAKnpplLFhPGwXU1Y3ZOoaq7fqJ1dZOLun3\nB2a25pc3VQp2ywEMmPRDK+ly/tO8kN6oDVseplmQBAkB90JpKNsYtO561EtZJOABDWCvL3midzGz\nsG1qQenWJpXk5tYLWPnwHzkxNpjhmnf4nhpMZ5BMFOnC7r1Y0KI3V3y/9Zt5anhjts4YO19ggx81\n1cozcEWGVJ39I06cfIW5Atqoqaw5/iZ2qn4o2wa5I9uPGa1XeOyZsZwj6uaWC7TRO34OSxO8Kq3J\nni9imX+Gy3b6ki4wqXgpLbz8MQNSCQbWJBDg6/3+wLp+1zJlxTFW+n98dQHXTC7OPKBguQjsUn2Z\nEHuZl7IX0LTgaJbtPTYwukk3iYDlX/hh6j8ZyjZrcvBEsBQUjPG0xSEbmxxb5Tu1uDUNI50CFkWB\nl+JAZ2rzu1axIRFuTTSnFRn60HDb3OM2/9yWWMJLfaYbixU5Jp+Zifu1PrVkqh83vPXJHPmi0cek\n+hb4H+I+6tqNVb8uLKcqmUAhAAa+JRf1x0q5ivOTv83t35itY5k6mTZiKGVpWQ9kTqIxW8fEzHOk\n2Kc1GS9orXxWMUR5BDmMn/+0qwiH/+o/lYgBEljgvhT4Jd44iAHxuOSVEXRUXFOGZB584py9Bc69\nqyYTdmT7kabd3DXi/FsKqRxMSVeeGG2FtaoXpdoziN/8UeiYd50574HMSZwVe9GKxtI8H3fCnIPh\nA1KslKv02oTzDB+9Lr8WgQG683uvFSpju/9I1hxxdS7D+j1qc5OFu+/WyD6tllZQ69q1PYvVt9y/\nN0sfbol/K3RWeZuKUSV6532LqkLIkBBXD3Ni9UdNNcbYK7t9jnYBFPRJZxpztz2tkjxy6GxufPuY\nvPEkWESOtyWWhPYL5rVHwU7Vr13TA97+6t6CftyiqthDNQPYw4dyAAdImrhq1/ScfnlB/PmCe3Gf\n/535HgqPIhAllBWJMBOwAwFunTa6fLQOLgQl3jj85DrucjBTUuQQQOOgu77bbi4o7eDxJpxdNO4Q\nbppynDXRm9LtJ90eKtMyrZJUS0sJwb3t2JHtR0patAJN5/fJJaAZE4DEKhPqFWKGidZ5Poa0LMC1\nmIiv1poHATj8ZNj0h7xr6tqvE+BZBXtVHw6I5dvpoV1QuRcUGWLEyLJVatn86Zk5Og8ANjSQfvif\n8mz+TSpJNS2+/a8gG6j0oMYAACAASURBVCGehLN/YvXHEElizr2CtaI3CfYc+o9k+SlPFI7VZ08v\nqYCQri3rDpzI6j7XlHQ+k+B03sfAmgTr5xST75GPDieUuU5UIyL/KiI/t78fKSJnldyybgod9e2A\nlL4oxLABqVAF7kuB42fQhdk98PlNrD/gOtZlLjDnChjUZqUIxZ6q42p3olh0SWXt1x2c1+YrX5rC\n727/ujVR6jhUHF9FmKQuaSGj9F017DpmkOzRCgGvIxSsiSqQTbL/CCP3vA7Os/v8EYMYbgjjzZkZ\nRk21JseEJmzx7efNtnkXnu/zxQKW1Gtbr+Jf2i7VmkCdlbbzrtMkqZIsMYFhbOfYdTewpvGO9oNG\nTWV2y6UFUTqm/ueg4PFkWnL5AWuOuJo0fXyPzwUqZOsQMT/vHHZv0o/VDgoBpy2zEg2+prIgmEKf\nh8mOTq1HEKZU5S+BdcDn7O+bgAeARyvVqK6CtyqXiccnTIWvUuHUiXWv5kbIdhYl7qBqfQxUq2V7\nFX2UhskptTBxFfXfDWYPd+7fvYL6avXv+MYHZvNQk0ryVHZ0QZuH7Vjmb5B2zEQhBmWcLE0qWXBf\nKfxNVkHwOkIFuHDcIfnOe1M95Iena8+pM005E+3r733E+jmnFZjgHIz9cCUsuNRYFMakT7h9HKlE\nnPrJxwDHMO2JCTmT5+LEEraoWh7InMSE2MtGE6iO8TYlLYx8aRG4tIK1B06kzltasq3QbBMIO8nu\n+jWHMjFzaaD2OUx2MDm2ypicmQeTIDdxOhWJg2UHi554g7HZwYF0KzpkJEaVRhi8L7WdWo8gjCA4\nQik1TUS+AqCUSouUYlnredBNimWttavBjNOPYuyyywsGUh/JFHRcdxhnu/lmOx+ofuwjyQD2Foan\numGw2xeWqbymoGRhDv1HMnvbJO3kEUhI51wzBI+Lgjw7P8A+kqRVksEaW7gbTSrJPpIM0kwcCsW8\nql9yamx9O6Xwx+cBx7U/n9Z0+8Th5r0xmLW8Yaxrs0fmJlrHpKcLkZ0cW8Wi5J2giRgKwvtSi9jn\ndffR4Rsf5Zh1+QL6AnneyG0F5nDUg1T+9i8ePYS7X3w3TzQ1ZusYk/k/vhb/TfD7d9B/RC5IwV3A\nfVXyGm001BY1mJlVDcHagE8NDqUy2jWKzrSXVdYCQXe9LdnBbN6VZmGscAEWhLRKsuWwczliy4qC\nhcbQSTczZVTn1TYOEzXUIiIp7KWIiBwBFBoZeykqZQLyu54x+USDYbKDKfHVeZnFg2N7qKaFa1u/\nxbSan1N3zlV65k1vaUJTYRSj2ivw3Vd5TH2hqDaDNQjWHHF1eyZzAFdOTOCi+G84QPblTAKDZA8H\nyD6aVb4pq0VVsSPbL89kUd96ccF+AHGBr1WttJ4dqj3X4tHrXM8HSwg4E4ttWltzxNUFpQy9EIG6\n2GsFZjydCW5WooEkYYRAIefP0HNv1vbRT7z0A2Oy4UXjDtGWbDSZd96j3TS4fP1mHlq3WaufTIi9\nrBcCib7GgjW6JEJT4uHS5EX+NCVg9aeqlKW1uSg31jTewZb6I4yOGt3mmFjOW11lumF2kR4gLyN8\np+pX0N/aVCyXjdymYjRkTrJKlHZG8asAhBEENwL/C4wUkbuBp4CZFW3Vfo5A3hUXdicP4uYDH9YO\n9vn9l5mFl18xcy8Cyhx+5bMjA23DDpSCjBLWZI+0TA31A6xrnrGANZ9eaGVpGgZpXNBWkdpLKsd3\n1KZiJGgjTTXXtV3FF+xInZlVDSTRmwIK5qzWNKz7r8Dnc+3rRzLLNfhN7Y4J3JpYwuTYqpzfSeeT\nMoWw5iGR4s1Dp+VlWK85bi7LM+MLOYU2NDBAfaQ9zTDZwU1Tjitow0XjDjFOwO5QRh0NSPu5DYuC\n1qY8rp+dqh87muNkH57O6up2n5fja1qcWEKzJPMIF2vO+wn1N8xlq+j72y7pZ1VIa0vb5rX2Rc6b\nv7yCY9bdwDD0kXV+IcYDZW9uonfCumN2CLUTIluf+DUL26Zybeu3aJEUCTK5fTPKChOI24uYKsly\nQfx5yxRYTMnRCiFU1JCIDAbGYY2ZF5VSxRvDOoBOoaHuRtBx7zerOILkTYRNKsn1rZexOPlTQ+yz\nD1e8XzSM95hHr7PoGLwYeymc9UMAGv7zPzjrb/NDq8Z+Gdth6K3dyCrh2tZvFajmDh10eu1dBRmt\npSKL0Hj2a0w5YXiBnT+o3c0qzoYxt+RH39hYvn4z41acbKRiduojrDniai5ec2jBJByT/NrJqUSc\ndf2uNSbSbcrWMmLem9rfTKHU6w6cmKPydt+72yy5RdUaQ1ebUgdz/Ic/pDWjtFFNpnBKXd2PNY13\ncMy6GwqO/4Fcybez92jfQxt6e7yThJgmSV8Ks7Gd5+WE//4x+Q1t5BVY2iiijIsOL/bSh77SZmmc\nEocxX8+NqXKgnFFD44F9SqnHgAHA90Xk0BDHjRSRZ0TkTyLymoh8x94+SERWishf7L8DQ9zPfoUT\nJ1/Bq2Nuylv1zWi9gu+1Ti+I0liRrcujes6DH7tmUDFzaE+Q0QkBgL88CViD8qR3f0o1LbmEmSDo\nqA+cyJcw9NZuODZjrxCqyuyDdf9VmhAw8BdtyQ7O8Up5EwgXtk31KWRv+XksOoV8ZsoT5j3JjAde\n4eaWCwoT87AEyLUtV8F3X+Xa14/UrsS91023ZozMqErBqtgYYztnnH4UK+Mn5yVSroyfnBck4Wa9\n9RIe9iVNi9f9aPMsObkvphKsF8af1r9Hj6Z64mEDiSdrcjkGH6k+7CPJv6nbtRm6AHFDMRkRiIui\nn+iFgNvZf3ZsFf3E3J+S0hZaCADU0Nzu+1MZ1NpfoG7sz9b6T+RHaVUYYUxDPwWaROR4YAbwN+DX\nIY5rA/5ZKfVJLG3i2yLyKWA28JRS6kgsM9Psklrey3Hi5CsYWv9XYnN3MbT+r6w7cCKN2bqCLGfA\nonoutli9qZi5c0yeD8GA3Zty2stQthETtCuusHBMIw7BXJshZNQNZ5CaSb2KjwxJ04dft36xIJTR\nS7zmtfM3Zuv478w/+AtCO0JmxoOv5JgpP2hqpTVrRS99r3W6NqvcYXH1yzHxwsSMKgKTUxuMx+nM\nVk6ypCPANu9KI+gn9D6S4aNsdW7RslnVsua4udy7b1xuH9P7MoVTFjCPPnINfVp35Zy4/WhmkOwh\n5hNSmi0yE8V5/vtIsjixhBerv8PCvveUlIRmgvdUzv0MZRvHr7u+04RBmKihNqWUEpGzgduVUr8Q\nkUuCDlJKvQe8Z///kYj8CRgOnA2cYu/2K+BZYFYJbd+vMOP0o/ju/S9rjTlrD5wIXzpBGwFkrBwV\nVEA8DE1x/xEMf2lhngkLQsR2G+DOU3CI6bzmgxbi7FEpBshedicOon7veQBk7eSnAhQRJqgUbHZx\n46zN/j9jpvmWXemCqLKYCDe2fZNJ8Re1EUoA9B/B3Edey8sKh0LzSr2dVQr5PExOrV/v/ros+H/P\nTONW+Yn2ffjRWEBhKDUUhlMrzBP6INnDZlXNta3fojFbx/DXU0B7fzLxIxmRchkOisjfcMPRHorp\nn+4kxKFsQ7VQPEdHiUhKhiNf+kFeyG6lEKZm8XNYzuJvACcB24CXlVLHhb6IyGHA88CxwLtKqQGu\n3z5QShWYh0RkOjAd4JBDDhnzt7/9Lezlei1uWP7HgnA9P2oLUx6Ee3VnDI0NKqmXSLHmuLmMWTcz\nfJigD0ysru6s5n01Q6k5I58wz9834eTx5ufzBmX/hoGu9KXzvCdmnuPfE3cW1pWw6RQOu6dvQbjv\nAbKvwP/zQOYkTq96xSK7swW1c6zOvu5+fqlEnHRrhpf6TNfa64sqir6hgabH51Dd9F6B0Anyizjt\neiRbR/9Ugl1pK3xWdw8FWcduJPpCzaDw9YoNUEgoLiHwp8voLCgFMrfyNYvDmIamYYWLXqqU2oq1\nql9UREP6AQ8B1yqlPgx7nFLqTqXUWKXU2CFDenVNnNC4acpx3DpttFZl18GvclRgeUFf/4IV4nbt\n60cao4W8NmuT7VxBQaUogD5VMQakEjxiV41qnPKaVRvaE1ExdfcvfRzUyvXXmmI2ZWvZaSA/88uc\ndsOUVOiYVNYdOJEZrdPZxQHtU05qUI5Tx2tXHxzbUyA0aqSFi6t+U0B29/V+fzDa1x0fi9MvBtYk\nqG+9uLCgD8kCs6FfJbO2FVdTk35PW48iyJ/jtGvYgBT1k48hYa8a8qrb2QWQ/NYTqnVve6hzh6AC\nQ37B6q8mM5WugExPR0W5hkQkgZWB/IRS6of2tjeAU5RS74nIwcCzSinfVN39LWrIi6DC4CaYsled\nxCOdvTm30jUVV3fFOB8++zEm+UR/uLNXn8qOLogGcc53w1uf5F6bN35KfDU31jzIwNb3C81VOhRR\nDLwpdTDHfPAfxjabkqwG1iSoSVaVLalwS/0RWsrzsPdQ3bSVmBTec1YJRzTfzds2SdnouU+yK91a\nUGNhkb2id+4FMGuOBk4edxRNEOFhVgmNU14L1kLDFqTvALIKVmWPYXzsdWKazGWlrN7kp+VmFXyg\n+jFQrITNUESPJaKzNIJAH4GIfET7SEsCCWCPUkpfZLP9OAF+AfzJEQI2GoFLgPn23xVBbdif4TXv\n+HGge2Ga7IcNSBnLC+a2B/kQ7PM07tIXmWnM1nGj59zrXDb32ID28900inaCukdc1NJOkpu7PV6E\npKgAq76wwlwYR880G+fGSceUNZHw4BKFAFi2/aYafX2FLWpwXiTTbtsMo6uxAO19qU9VrEBznJh5\njnEr/gnFNu1KfbidSJV7bm3ww8TPtMEC+2qG5p6fzveQw4Q5ND90pZVF74IfY6o3iztoQo7ZCX4x\nz3FgFYxSytLQgs6RooX/zkxgQuxl/wt2EE3SB32hzPKiaI1ARKYAn1FKfT9gvzrgBeCPkOsd3wd+\nDzQAhwDvAhcopUzEKsD+rRGY2EhNNmr3auuLRw/hoXWbtSu9RU+8Efq8Juh8EI41fviAFHub23I2\n4VDXMK0I/ezZOs3FwPEZRAWtw+Jpo8ufTT53UKADO6v0q9Km1MHagkdNKskcNT0vizyIydaEsNTj\nAC3Sh0f4ImdkC8M+wcogd0qKhkH9TTdydcvSnF/Db3L2Up/35yNjfH8QnL4RyN7rgukdlROtkiRx\noz63JAzKphF4oZRaLiKBIZ9KqVWYfT8Tir3u/orAlbsNnebw0LrNnDdmOM/8eZtWFe8ooV4QF1PR\npH0mKgs/Zked5mJXLvOatZaqiwjiqHM7cd+XIQyN3wyUOdPTIAQss4QYTWlNKsnC1mnUj5pKFVgO\n3PRWtmQHszR5EXVnTs8TWrpKb2GijXQ+CBOSqpnz+F/tSG9TMWa1Xsa6149k9eRQp2P0mdOpe/hz\npFva23x+8rfMjy8tEHxzXZFVAC/1mU6p7DdO6HIx0UwdEQK6+gk6VKmOkSqGRRjTkLtQfQwYS8c9\nNhFCws+844bJMfzMn7dpV9/lItTzU/VDX8MhdzN1Kz/HNVjCwGs6OmRcgVlrdGY8KY1gOm/McB5a\nt5mJmecKShemH/4nXn3ng9Ar2lDoP1Kr+fxdhjBu32257+s04auPNH+Gevuea+x7HgHWNg+8z//s\n+GpursonoJufWEpfqWJ5Znzuufjx+BRjC3eYXcXuv2F8Xbo+U3f6VVTFj88TfLfxZRqzn88TbB1Z\nnO/Cqm42TLb7Ry+VCRli3J05lYvjv/F/pp0004YJH/2l62sb8A7wc6XU+xVsVx72Z9NQUAioAz/H\n8NsdqHBUcdhRKe7VXh4CCukUC9Nk5EfxsFnVsmbK80aBV7Qz3+CIX3PcXC19hBt5ZjVT1TcDmhYc\nrfUtNKUO5snTnsrdwwuGkNBiwykdc4tTfS1MPzbBOw4mx1ZZRe4JKEwTAi2qCoXy+CZs82JqELQ1\nQ+vevGM6KizCagTdxlm8vxWx726YcsJwhm98NFeaMFe68YR/zNsvrOZQDJwJbuyHK7neKd4eJpKn\nCDQ9PocajRBwuHXKeS0wazBTThgOK/Qr4YOxOOfD5GqEcuYbHPEnjprKLSM35/w3Xk9HnlnNK0xC\nONZNSWQ16a15z6X+pj8ws3VJnnmoWcVpJUFftS/UxOtkYTtt9gtlDiMIFj3xBhMzzzEz2ZDTWDpi\nmskCTuBVgjbNPal839Sj11k1su030lGNobsR+YcxDY0AfgSMx3oKq4DvKKVKK8kToThsaLCKtpMG\nO/V86Euz4KWZedz4phVXqUV03MlRtySWUuMY18NE8hQBIx8OgoRNeCoXDBFIW9Rgo6+m5AlOZ84i\nX1D5ahp+7LHFRlh5TG+jz5zOnGVtXKvuY5js4APVlwNkH/3EK7D1Tnl31bfFF1gr/u/er4+u0T1X\n3X2P/XCl1Q+LIDU0hoHGEsRE9KVAXcju3sQRsx9j2IAUK+V/qOkCi3grQnjWrdIRJqHsl1ghn8Ow\nkskesbdF6AxoqR7sDumqIeDHD1MKnAlO6zg00VWXABMfjml7RTFhTgG/UFbBU9nRRs0qrDO/FEw5\nYTiLP/UXflf9HV5In8O4FSe3c8+U4lgP4pdyXbfunKuYVvNzjmi+m9ZYqjBLGizaB8/5mlSS61qv\ntGgl7JKuYGmmuvKr3udqSnSclQzvwAZrIfHd1qvy6MmVssxg9DkgUAiA1QedNlQ3+VNyVApVnSR8\nwkQNDVFKuSf+/xKRayvVoAgeBNVCda0CfWO0i4QzkRnJ3Eqs0erF0uRFfL/1x3kTTYuqsmiP5z9d\n8YpweRg1lS3rnuLwd+7LrSRjAlPjz/OpT50GFDrdK2GSc5BHR25rg/3X3cAa4MSQq/s8hMgNcZDX\nl+ov1J8v/QGce6dNP7E1Lx8jERf2NrdxuL2i/s5B65mUXprjpXIc1T/YV8Xhs9tX/iYNa2g8RK0G\nF96XWlZk61jhyZ8Ynkqxet+5hqPa4WYcBUsrNEUThbX3l4LOsiCF0Qi2i8hFIhK3PxcBxb2VCKUj\nKGIGyjYpu+FMZMaCM2HaFQJnjhqG17yg7O8FtBedgCN2rS4wJ6SkJUcf7YWu0li56lqPfGlRAaFf\nrnZwyNV9AUopguJHWT5qKjWz/kzjlNeYVvNzHsnWMbAmAQp2pVtzK+rxf1tScC810sK3s/fkrfxN\neQ9FaYixhMXI64KjjbyQPgfEf9pzm7YcPJUdbaRJ6W72/lIQRhB8EyuQeisWm+j59rYInQHdgPei\nTJOyG84Ep+WSCTPhhMSJb/6IpCeTtI9kcrw5jr2901CkyaXcJjk3DlL6RKKD1Pb2Ep+dUeIwhNBx\nl3StSVbR6pk1TdnU7qps6dYMccOsujR5UUEbsrT7AvIgwsCa9j7r5XbyS+ZzTFtAzoz1ap9vcHFA\nDWaRynAONRef6lUSwkQNvQuETAeJUHbkqfMbKXDQlXFSdqM9njvJ9R9Ssagh0wTrniDKYW8PRAdy\nGcppknPjfRmiDWd9X2oZCkaHc9lRhEkJ9O/LlKjlJfrLKJVjTnWQSsT/f3t3HiRnXedx/P3tniMz\nRMmlHEkgyLIqpLih1AQQWFfQGFBwEKgNW4UVa105rC1iFBcDta4hWBzuortZRHEXNQHZGMFdZQMF\nxItwGUGRW3MBQZIgZMgc/d0/nqc7fTzPdPdMP09nuj+vqqlJP/NMP7+nn8nze37X98uRH14I2cNg\nzVX4jo1s9qlcPdjHoo6Vle87PMCinhWs6Hxv/DgXkLMM5jmGPQhhnl9gB6XhzyfWuEgtiZbBGz6B\nCY1/2wqxFYGZ/QsjLGdw94sTKZFUKv4PX+fc8bHYfYM7BfhKIscYaaZOXiP620cUGaaiSEKVbTUb\njr6MvctSlvZ7FxuOuSyoCNJUR6UTNW6ybKiPq7u+WZItrrwfHiisOYieLRWUYW5R6Izr7euRZejt\nf7EQSmX//phxrpxz0K7vFl7mH7HWdl1c18B0kiZHhRBPwEgtguIVXFdCRQwxaYa0ngLTcuoVFTfh\n4htEo/rbRzRSEp5a1jIkVDkfN/9TrINwDckrvGzT2HDMZY1d5ZyAqKnMd2dP4m+OnhWMtezYyM6e\nfbnijbNYnXtfYZ/8ta7WwipuccS1NHb27Lv7fa6LXsmdf9goXp28hWnxEyQazB1e924GrTN2YVyQ\ncCl5sRWBu9+S/7eZXVr8WqRhyroddvbsy7LBc/jRruMLT4eJzxqKHWy36slbRrGwqx7Hzf9UIUPV\nvuFX6uqs6OJCixyXfQ2eDfbp7ergnHcfwC9+21N3iJPiFseyob7IkOLLBs8phN1Yd/BFzH7kHyNb\nI+UB9qbzCrkaQmkECe8hW2d3UH4cYVNZnKfnu8+L3D82dWeD1RR91MwecfejUyhPpHYOMVGXFLuN\nWspoop424nfHgxryUozpfY44D57+afAZ5tOKVmmFRYWbyMdk2s5euAddKplJM1l38EUsWHdgsCq5\nKG7TvX4kJ9tj8TkUqD6Tpt7YSxBETD1mYHnhdbVcDq/6RKZcOfpZc43MUCbjQUmyeS9ZbCZVjHYq\nJoxuYdd4MtIKZgj+vq6bHSQIum52/N9b3Ps8dPPuijQ/m6fK327xTC0I8i3MHfgalw7+HRMYYGom\nSGLPjg3MfuSLfGD4vsI+79h1K8uG+jgrcz8zMvEJZcwpzMja1bk3w165Y72VQM7hyqEFQFABPNy1\nkBs6vz5iOdLKfhbbIihLSNML7Mz/CHB3f2vyxQuoRVCDVn8yTdpoW1Ot/rnHZoAz+Njy2lsLdWSS\nK6jhMyxuHcTlTy7PQ1EtzzLAi7yNfZc8U3jtSybVnOs4Tn6q6xvezUTbVVNF0vSgc+7+llEfXdLX\n6k+mSRvtIHzEYHezZhklomcy9Efkjdp7Rn3xjurIJJfnOzYyd+k9NYetjpsdNN1e4bnu8wrTQ6sN\nBhdmZhU9HJhlqiYTqsYseIp+i9WeM2GYTCorCdJZrSDJG03IARm7OufYjyvrV8KuP1duz3YF53jH\nwujfi3r4iKowY4LW5W32qYVB4fzK44f+8GpkoqWRZgflb8D5sBbbmcgUKqdlugc5ITYccxnHzZpc\nWt6ISmA0YwT1yqQ0WKyKoFW0+pPpnqzVpvTmrbkKcpWpRumaGJxvYZFjmaiHj1ozyYX66eb/ho8s\nJIvJP83f+su5haqjIuR3ZGVTqtcG6M91sZOuiplGT4QpNfeFoMsv4n2GPd2B1bTinWqwuFWkGXJA\n2kNct2L/tuB7vYPs5XGO5l1b9DdLMGsIYO+Z3DZ0Ah/P3l8ICzEjEzzNfySztrQoxSFIwv8DQz7y\nbW2yvcHtuZMKEUmHPMMPciexaea8queeIWxhWDoxhtK6QatF0Epa9clUmqNad2MjusVi/mb/eslf\n7M6BEeq1ARZ1rGR1WUTRkpAWh/eRieuyCr1mEzk7c18h21oHOc7K3Meyu5Zz5lFX7j7HmG6mVKV0\nPLUIRCRaLU/8o4lmWoN9aghSV9hWFoLkzZ4Rlt119pBzrwgh0WsDfHLgv3ZvqCXY4yi4B91LtdqV\nSTi8SkgVgYhEC7tadvbsRw5jY24aS/xTrBqek/ihLWaSQ3mQuqgQJL2nX8VQtjRUm0OQf/gjX2OS\nleYfzts/U1TJRHW19kyJ/L1a5/rv8iyXDH66vof8GhLoNIK6hkQk1qrhOXz+9et3xw0agJ5qOZkb\n4dQr6L/jM5FhIbJm5Nzjw1Ic3hfc2Iq6rKyoy+rN/7mC3v4tFYd8s2dfesvep6SFs35lOFOq9M4f\nFYJ6GxPpYpC9wvLnMLoY5trOf6urIuhmbFNWa6UWwWjVuqJSZBwbKSdzog7vY/HAhWGqyaA1kk8W\nk3Pn+aUf5meLT4mvjEbosopqMQxlJ9B7epX0q4f3ETePp3gAuZ8ulgwuYPaub3HJ4Kfpp4usOWbQ\nYbnIcYa0VhDHUYtgNBIONCayp0gyJzPrVwZpLvtfZHNuKl8dPodVw3MKwQYfeusHmLt9bsWvjTks\neUSLoaPWQe69o9cqFCse1I7LhZDnHgSgm55SxNM4ahGMRrX4KyItIu6mO+ab8fqVDP3wInr7t5DB\nmZF5hX/u+A/mZ9YW1gec/K63JZYGdLSD3OsOvoh+uqvulx/UrraK2bGS8BfNoopgNBTOQVKy6tFN\nzFl6Dwctvos5S+9JNX8zJJiTec1VdAy/WbIp/yQNQffTvU9uTSwNaLlaPucvrvoNfT+fweeKuqzi\n1izkB7Vjc36X7Re3fjiX0vTRxLqGzOxmYB7wsrvPDrdNAVYAs4AXgD5335ZUGRKjcA6SgvJwyxUr\naVMQl1tgzMevMUVpUmlAi9XyOa96dBO3/vKPOEG00/xahvmZtRWZ13Z5ll57k+cmnM+23F4MeAdd\nNlRx3OIETHFP5JmUxg6SbBF8GzitbNtiYI27HwKsCV+PP2MJWyxSo6YN1JYpTkw/4gBtPWqYHpp4\nitJQLZ/zNT/5fWy4h37v3P2icy+6O7JMsdfJ4EzNvI7jvO4Tguij4dc23kLvWTdyf/fJQDBOECVu\ne6MlVhG4+/1AedjCM4B8prNbgDOTOn6iFM5BUpDoQG2znXpFxcyd1FOUhmr5nKP2yWc3m1KcV3hw\nZ8Xc/24bppc3S2YWdfsu1r2wjSXzD6OnM8uyoT52eWkX3C7PVuR0Tkras4b2cfctAO6+xczeHrej\nmS0EFgIccMABKRWvDgrnIAmLSgKf3z7uhTN3ymcNrc7NSS9FaaiWzzlqn+gZQdHthkxZX3+vDTDz\nkWsK+afvue0+rGyFgWGphbSoKVXlqN/cbBZwZ9EYwXZ3n1T0823uPrna+ygxjbSj8r5rCJ6Ukxow\nHRcSSMc60ucMQbfQpu39FUGzn+s+r+IGX4+cG5krtwOw7ct/yeTBlyr22da5D5Mvf2rUxxhzYpqE\nvGRm+4Wtgf2Al1M+vsi4kdhA7XiV0PqduM8ZKKkgnNIMCpt9GjPGMP/fzIPFqKdewaSISgCI3d5o\nabcIrgH+5O5L/sK70QAAC39JREFUzWwxMMXdF1V7H7UIRMa/VY9uGlulVmda0JGOV0tZ5iy9J7LL\nKJ8r+ZjX7mZp500l3UP5yqLcSElscuEvRrUuhsjQsWT0Eyub3iIws+8B7wemmdlG4EvAUmClmV0I\n/BH4eFLHF5E9R0Omwtaxfmek4wE1lWWkQeTrzjmSz98xAIPBWMH+9ie2MJW9swNMzL1W8TtmQd6D\nLJUhJjLEJ6DJ+jjPUObu58b86NSkjikie6aRpmjWXBHUsX6n2pTQWsoy0iDy7u6kLk7YPrfQqnjs\nruV8afj6yKf/DI6bYRG3/fjWgpGN/lFDKdaQiCSuIVNh60jHunl7P/Mza8On9d2pLn8UEbsob9P2\nfuYsvafQXTRrag+bt/eX3LaLp7VGLXb77Irjubg7OifyZp8KHmRbq1XG0llRphATIpK4hsQsqmP9\nzgUTH2Rp500VqS4vmPhg7DGNoDLw8PvPnn21pBIw4KxjRl7pvP+kHpYMLmCnd5Vsz6+RWDbU1/RI\no1FUEYhI4hoWs6jGYHGLOldEZiFb1LkisixnZNbyQNfFPNd9Hmu7LmZ+WW5kCPrx731y64jFu+yD\n7+Tu7EksHvxkRQjtu7Mn8cCEk3mjhqB1eTuze9e871ioa0hEEpf2VNje/hdjt5eX5YKJD7JocPfs\nnxkWtB4YDOIKFavWlVU8djB3+1yyZgy7BwHzwkrvC7ddyDWd/0637R6nGHQjA2SLuoKGPMMX3jyf\nG+o79VFRRSAiqSjvU89H/EykYqgysFxSlus+BzsiWg9hToFitXRlVQuUd+mKuSWzjTb7VNbkjuT8\n7JqyPT21biRVBCKSusQjq9YxsFxLJFRobPyj4gimAI90L6SjbGC4w5wlnd8BvtKQY45EYwQikrrE\nI6vWExgyJhLqjq63J5ILYXJvZ+W2iFlGI21vNLUIRCR1qURWrTUwZFTrAWPyEfP42bxTGlee0Jc+\nchiX3f5rBodr6PdJKeicWgQikrrEUmCOxuF9cMR5lN51HX793SC+UYOdedR0rjn7iJLWRlo3/Dhq\nEYhI6i774DsjI36mlYOgwtM/pSLQQz4PeQLh5ssHlH1Jww9RF1UEIpK6pkdWLQ9nHTXDCFLLQ/7A\n8GGckHmiJNSEOzyQO4wTUzi+KgIRaYo08hFHigpnXZFtIJRSHvIFg5fznc4vc0LmicK2B3KHsWDw\ncl5I4fiqCESkvay5qmxgGCqzDZB6HvIFg5endqxyGiwWkfYS293jTctDnjVjfmYta8vCXGRTylWp\nFoGItJfYVcfRCW4aLiLd5lcO2cC8P1SGuZh74DTgQ4kXSS0CEWkvp14RdPsUi+sGWr8yyIy2ZFLw\nfazTSfPjEzs2AF5It9m39V8jg+T17fjW2I5XI7UIRKS95Lt7yp7KK7qBksiRHDU+MdgfMWYRSmnW\nkioCEWk/taw6jrtpj2VtQb039pRmLalrSEQkSh05kmsWd2PvmVJ7d1UCVBGIiESJu2mP5Sk9bnzi\n9KtrD5KXAHUNiYhEqSeUda2qjU+kdOMvp4pARCRKrYPKo3nfqPeImFaqFoGISLPVGsp6rJKYoVQH\njRGIiDTbSDOUUqCKQESk2ZKYoVQHVQQiIs3WM7m+7Q2mikBEpM01pSIws9PM7Pdm9oyZLW5GGURE\n9hj92+rb3mCpVwRmlgVuBE4HDgXONbND0y6HiMgeI4nFa3VoRovgeOAZd3/O3QeA7wNnNKEcIiJ7\nhnoioiagGRXBdKA4GPjGcFsJM1toZg+Z2UNbt25NrXAiIqk7vK/tQkxEpdypSBbq7suB5QDHHnts\nRDJREZEWktbitQjNaBFsBGYWvZ4BbG5COUREhOZUBOuAQ8zsIDPrAj4BrG5COUREhCZ0Dbn7kJl9\nBvgJkAVudvcn0i6HiIgEmhJ0zt1/DPy4GccWEZFSWlksItLmVBGIiLQ5VQQiIm1OFYGISJtTRSAi\n0uZUEYiItDlVBCIie4L1K+G62bBkUvB9/crUDq3k9SIizabk9SIibU7J60VE2pyS14uItLk2zFAm\nIiLF2jBDmYiIFGvDDGUiIlKuzTKUiYjIHkQVgYhIm1NFICLS5lQRiIi0OVUEIiJtThWBiEibU0Ug\nItLmVBGIiLQ5c/dml6EqM9sK/KHKbtOAV1Iozp6mHc+7Hc8Z2vO8dc5jc6C7v63aTuOiIqiFmT3k\n7sc2uxxpa8fzbsdzhvY8b51zOtQ1JCLS5lQRiIi0uVaqCJY3uwBN0o7n3Y7nDO153jrnFLTMGIGI\niIxOK7UIRERkFFQRiIi0uZaoCMzsNDP7vZk9Y2aLm12eJJjZTDO718x+Z2ZPmNkl4fYpZna3mT0d\nfp/c7LI2mpllzexRM7szfH2Qmf0qPOcVZtbV7DI2mplNMrPbzezJ8Jq/t9WvtZl9NvzbftzMvmdm\nE1rxWpvZzWb2spk9XrQt8tpa4GvhvW29mR2dRJnGfUVgZlngRuB04FDgXDM7tLmlSsQQ8A/u/m7g\nPcDfh+e5GFjj7ocAa8LXreYS4HdFr68GrgvPeRtwYVNKlawbgP9193cBRxCcf8teazObDlwMHOvu\ns4Es8Ala81p/GzitbFvctT0dOCT8Wgh8I4kCjfuKADgeeMbdn3P3AeD7wBlNLlPDufsWd38k/Pef\nCW4M0wnO9ZZwt1uAM5tTwmSY2Qzgw8BN4WsDTgFuD3dpxXN+K3Ai8E0Adx9w9+20+LUmSJ3bY2Yd\nQC+whRa81u5+P/Bq2ea4a3sG8B0P/BKYZGb7NbpMrVARTAc2FL3eGG5rWWY2CzgK+BWwj7tvgaCy\nAN7evJIl4npgEZALX08Ftrv7UPi6Fa/3O4CtwLfCLrGbzGwvWvhau/sm4KvAHwkqgB3Aw7T+tc6L\nu7ap3N9aoSKwiG0tOyfWzCYCPwAudffXml2eJJnZPOBld3+4eHPErq12vTuAo4FvuPtRwBu0UDdQ\nlLBP/AzgIGB/YC+CbpFyrXatq0nl770VKoKNwMyi1zOAzU0qS6LMrJOgErjV3e8IN7+UbyqG319u\nVvkSMAeYb2YvEHT5nULQQpgUdh9Aa17vjcBGd/9V+Pp2goqhla/1XwHPu/tWdx8E7gDeR+tf67y4\na5vK/a0VKoJ1wCHh7IIuggGm1U0uU8OFfePfBH7n7tcW/Wg1cEH47wuAH6ZdtqS4++fdfYa7zyK4\nrve4+/nAvcDZ4W4tdc4A7v4isMHM3hluOhX4LS18rQm6hN5jZr3h33r+nFv6WheJu7argQXh7KH3\nADvyXUgN5e7j/gv4EPAU8CxwebPLk9A5ziVoEq4HHgu/PkTQZ74GeDr8PqXZZU3o/N8P3Bn++x3A\ng8AzwG1Ad7PLl8D5Hgk8FF7vVcDkVr/WwJXAk8DjwH8C3a14rYHvEYyDDBI88V8Yd20JuoZuDO9t\nvyGYVdXwMinEhIhIm2uFriERERkDVQQiIm1OFYGISJtTRSAi0uZUEYiItDlVBCIjMLOPmpmb2buK\nth1iZnea2bNm9nAYFfbE8Gd/a2Zbzeyxoq9WDIIoLUQVgcjIzgXWEixow8wmAHcBy939YHc/BriI\nYL573gp3P7Lo67epl1qkDqoIRGKEcZ3mECz4+US4+XzgF+5eWL3u7o+7+7fTL6FIY3RU30WkbZ1J\nkBPgKTN7NUwKchjwSJXfO8fM5ha9fq+79ydWSpExUkUgEu9cgiB3EAS9O7d8BzP7b4KkIU+5+8fC\nzSvc/TPpFFFk7FQRiEQws6kE0U5nm5kTZMxygng4J+b3c/ePmtmxBLH0RcYljRGIRDubIDPUge4+\ny91nAs8TBDecY2bzi/btbUoJRRpELQKRaOcCS8u2/QA4D5gHXGtm1wMvAX8G/qlov/Ixgk+7+8+T\nLKzIWCj6qIhIm1PXkIhIm1NFICLS5lQRiIi0OVUEIiJtThWBiEibU0UgItLmVBGIiLS5/wdsnpys\ny5gZFwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c784e73c50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Xv+VLCAAkU4qFq99y3Y+9I7HWzycEAOLJFAtXv6Xdh/WbG/m2KWaflUxHzsdt23tf2tSj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\nBGZmJff/EO/zXgKlhxcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c784f94a90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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p6CFc+vCrWQ0xTfVJJh09xLlNQtOB9dqJPKOLm/WjwG2aNc+cRlHJ103VkQjC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\nxlkiMMaYGmeJwBhjapwlAmOMqXH/PxwMy2uZoB4tAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c784f8bbe0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bxMXxUGrwPo/6hDhvadzd93JLVq9j+b3XckfHV3hlwAx+1/kFJqy6KLwXUICN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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c784f7f518>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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G+W7XCVzmuGREE4EjdcRh4N5F3w7cfxd9GwaOCOx/T7SDlt4taQJEFV4Y+Tn2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\nTBAYhmE0Of8fUcGaMPwuuT4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c784f6c550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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vqnqv971ORCaq6suZ9lPVDbi5mtTlLwJH9E1cwzCMYFKDIOccv1/utepzSOWS\nGJksqz2DBfLrJNNYm9aypMvFv8ytaerb5P0AIxez2M2AP+y021tmGBXPivXNTFl8P3vP+yNTFt/P\nivXNpRbJ6ANBQZAX3fZ47r9nYOLKZFp0FHWxag4+YRaceDltdXsQV2FjfDTzOs9mZXwqsWqhseqt\njMcZLOSiXGpUtUcNe58tqt6oePr9QjLKhrAgyKX3PJvbASbNZM1BC2nW0ahCPGWuo01r+Un3qSw6\n+SA3Gpo0k/oLn2HljCc5tf433BmfypeGP8xju15AVUVPw0dHLq7Ib4rIdFVdCSAiJwGbCyuWYRSe\nTC+knM0pRlkQFuzY3Nqe7koc8tvOfmpfmne6ImDTq1b1xqroKC7jNI7+3Hlp+844ZJxzTb77QleN\nsivoyM7ra7BNv+SiXM4FbhCRX+Da51XgzIJKZRhFoL9R2UaZsKGJfwz9Prvrm7ToaJZ0zWRl3MWZ\nCPQERyZGpkCggvH/7qmxKpedenCwUtrQlBzzEsSICWyqGceYzf+kahBpmFy8xV5Q1SOB/YH9VfXD\nqvp84UUzjMISFn0dGpVt5M+GJrj0QFjQ4P5vSI8F6ffx7zyfsbyZ5jYcUOoro6ks7Hcf11AXPpJN\nlEAORVhx9D18Yut3md15Hhvjo4mr5B7rUsHKKFS5iMgZ3v8LROQCXCqWr/m+G0ZFM+f4/aiLVSct\nq4tVM+f4/Uok0QAj0avf9iqg7v+d50erYAJe7vXSwfdrbw6d+QgbmfbpfsjiwtxWN5aLbnucrW2d\nrIxPZWrH5bx35w1s0eEZ9+uhgqdvMo1cEpH4u4T8GUZFM+OQcSw6+SDGNdQhuB5qz4St0X+CevX+\nMsFREPJyH8tmxmUbmaaMqmZUr87/fkgUDgsiVseSzlPT5vUAFnadmdvopYJHLqIZrtBLPHm+ql5a\nPJHSmTx5sq5du7aUIhiGkS8LGgjueour9hgFlx4YHJ8yYgIrjr6Hi257POnlXherdgojNT8YOFfk\nlHotSaQkq+wpGhY05yJVcNiX2XvVtNDBxzNDvshQSVc8fuJA1YJtGbfJhIisU9XJfT5AP8g45+Il\nnpxeJFkMw8iFQs9jREVYrz5Tbz9fguJTvGqRGUem+Y6qwkx84BRS3cjk7TUOa6/mJ3XXMb1qFY/X\nfpmXhpze8/fMkC9Sk4PNq5Lr0OfiLfZ3z1NsOfBuYqGqPlIwqQzDCGZDE113fKs3D9a2V913CO9x\nl4pp84NHB4kefxQkrjl1ROEtTxTySiNsriRseZgyuvtCuPAlt759S8pOysn6v8yIQXWKeWsomUcs\nvUeoXMtYLsrlw95/v0pPFP0edQNiAAAgAElEQVQyDKOItN09n/qUBIs13Tvc8nJTLlle/JGeJ99j\nhqV7CRtVhSmd9i2sWflrDtu2MXCUIaQrlryo4An9rMpFVT9WDEEMw8hOWEbesOUlpy8v/mKQ76gq\nQ+6xxnVLaNFRjK+y2HI/mVyR/0NEHhOR7SLyDxEJKvRlGEYRCc3IG7LcCGHSTPjg6SCe67FU80Lj\nSUz50+jgPHMZTHmNbKaOHYO2nHEYmeaL/gf4Hi4t/s+Ay4oikWEMYrIl0lxWe0ZajfY2rWVZ7RnF\nFDNnyjYx6IYmeOxGUG/uQ7tpfPk2Dnv73uA8c5Nmpk/aeygwqmr7oE6vH0Qm5VKlqveq6k5VvRkY\nUyyhDGMwkksizYNPmMV8ndUT6b0xPpr5Ostl6i0zyjoxaMAEfV1KNcm0aP5PXpLmmRZXBlVKl3zI\nNOfSICInh31X1dsKJ5ZhDD5ySaTp/p/HqfdM61vdkiJSzolBddvGQC8sfzVJ8KL5vfgW3baRbQwn\nrsNpkHdpiY+iUWyeJYxMyuWvwIkh3xUw5WLkTb8KOg1wWlrbfdl4N/ckYbyzdWrSdqHutWVGOScG\nfYPRjOXNtOWJapIJzhr+MNzpCoMJ0MA7tFHL7I6vc2d8Kn+rPZ/xpmACCVUuqvrlYgpiDHwSZpJE\nbzZbltrBxlnDH2Zu57KeKobjxSVhHBmrBU4orXB9oLGhricjceryUrOo4xQWxZYlVYz0V5MEF80/\nN7Yc2tNzl82taWJlx1SWds1MO47hqOQAUKPC6HdBpwHO3NjytJdUvXS4F1wl4WUQWLXjZFYPOZ/p\nVat6VpVLYtC1ux7HvM6zk+au5nWezR/1I0nR/PUhLt4J89kd8anc0v3RtOJiRm5BlIYRCeVsJikH\nwl5kYcvLEl99EwHGyWYuqf0t0uFe6H02gwbl9fLiZ/piap1z/H5cdFtHUs2Wulg1P01NVPlgcHyL\n33x2TNV6m9QPwJSLUTTK2UxSFuQbNV6OBHlhsZOfj7kTvrMor0MllMbkt+9lce1vqWOnW+HL67Wi\ne0qfTK2JdalKCUiqXHnZ/t/i8Md/mHRNqeYzm9QPJqtZTETqReQ/ReQ33vd9ReTThRfNGGhY/ZQs\nZEjCWDHkm7MrBL8b85yapl7FksBLMtkfU+uMQ8axet4xvLT4BFbPc9msUl2nz1yzF2sOWggjJqAI\nrzOGeZ1nA7Cq9nxeHHI6cZtdCCSXVvkdsBP4kPd9I/CjgklklIYiZNq1+ilZmDTTZdgdMQEQ9z9T\nCvhyJKJMyH6lEToy2LYxUlNrmKKa/dS+8J0nkAWtjF3wPCPra1kcW8b4qs1UCdRI3KLzA8jFLLaP\nqp4qIp8HUNV2EYtFHVCk1gH3pxOP+MVWKW60JaNcc3HlSkSZkP3KoUVHB7v7jhhP49DoTK25Kqq5\nseXUdyU7XoiAKhal7yOXkUuHiNTh5ecUkX0gdYxqVDTFqBhoDApWdE9hgZ7jvLAQ2ur26NPoy68c\nlnTNTEt5k1BYUZpawxRS6vKKcrAoIbkolx8C/wtMEJEbgPuAuQWVyiguEdnJjcFNYp7kmu1HuFrx\nO27gsO2XsaJ7St7H8iuNlfGpzOs8m2YdjaaYC6M0teasqEJMfDZqSSZjmeOejURGAUfiyhP8U1WL\n6h5hZY4LTIZSsXznieLLY1QcK9Y3892mx+gOeJ+Ma6jrmTDP95j9zeawZuWvmfDIUnbXN9kkY3h3\nr2ns07o63aXZl+LlDUazqOOUcNfpVDNyAVEFWViZZY6zKhcRmQI8qqrvisgZwKHAz1X1lSz7TQCu\nA8biSkFfpao/F5GRuKqWE4GXgZmqujXTsUy5RERYrEDQw5KtnrhheKRmXkhFgJcWFyHDQMr9/ULD\nFBpfvo06X2Bq2rxIrM6l3n/sxvzu/w1NdN12DjXEC3MtfnkrVLnkYhb7JdAmIh8E5gCv4JRGNrqA\n76rqB3Cjnm+IyP7APOA+Vd0XZ2Kb1yfJBzv5eneF1QDf0DQwvJT6SqXUoy9jgrys/BQljing/t77\n5ZuSFAsEmK4624mv+13ec44ruqdQpYVVLJVOLt5iXaqqInIScLmq/lZEzsq2k6q+BrzmfX5HRJ4G\nxgEnAUd7m10LPAhc2AfZBy998e7KNGmf8FAaDMrETxG95MqNKBOIZnL7jSSOKUN0fg8B93euUfMS\njwcXqt/2KmxoYkX3lKS2+tj7x3DrumYmS4gXmwHkNnJ5R0QuAs4A/igi1UAsn5OIyETgEOBfwHs8\nxZNQQLuH7DNLRNaKyNo330zPXjqo6Yt3l03apzNIveSirrMSNjKpFul/HFOmEbcP7cd93J3hNdh1\nx7dYdfuVSW11wz//TXtnN/fFD845vmUwxsHkolxOxbkef1VVX8eNPpbmegIRGQ7cCsxW1bdz3U9V\nr1LVyao6ecyY0tYpK7tqen1RFBEFtw0oBovCTTH9PfrHqyJNIBrmZfXTmR/sf0xTDh2AFeub01Ll\nJ8iWUDKu8Pf4B0K3q+newWxuSlqW2HRa1aM5e4gNRk+yrMpFVV9X1Z+p6t+87/9W1VzmXBCRGE6x\n3OArLvaGiOzhrd8D2NQ30YtDWVbTy0VRpM4l7Pvxyk8tEjWDQeEG9Pzndl6ZlKk4QV8TiPrdgU+q\nWsU/h36bp6pPY8aDx/d/DiuHDsDSe57lks70WJg2reX33cfyVnx44MghrrAqfgBHVj2b0YSWWkCs\nd7mZxDKRS26xd0Tkbe9vh4h0i0hW9wUviv+3wNOq+jPfqpVAYs7mLOCOvgheLMoxTfyafb5Fe8qD\n1K61rNnnW+5LkCnhsRudV8xgnLQPYyDk8spGQM+/PqWcb4L+TLzPOGQcqz+1mZ8P+x1jeRPJYMLK\nixw6AC2t7T2xMKkp9BfL15hW/Tuu6z6WbhVUnYlquw5hdud5HFj1CrXSlVGEsFFRi47u82UNBrJO\n6KvqLv7vIjIDOCKHY08Bvgg8LiKPesu+DywGmkTkq8C/gVPykrjIlGOa+NlP7cthnWd7FQvfokVH\nsaRrJuue2pfV0wk3Jay7Bj7zq8GtUPwk2iHbZHElE9LzT+2NRzLxns1ppC8EpZNB3EjcI5Fte2V8\nalIK/WoRfnryQYx79S4OXPcQ1dI7fKnyhjK7sT3j6buqh3JZ/LSkZYIzjS3pmsliKxQWSt4p91V1\nhYhkdR9W1VUE+2AATMv3vKUiLE18Q30sKTV3Mcv1trS200zygwQgCTnDTAnaPWi8oXJmoHvJhaTx\n31E/lnF1ddHev4WYw5o0E/79T1h7Nb2zHepG4nseCZNmerVZXJxNb5not9hRP5b66ovhhSsgqAhb\nwOgtgQLN8dEsqzmDoYd+ji89cQtnd1xPY9VbbIvtzn/vPIVbOqZCJz3nE8GN2AwgB+UiIif7vlYB\nk2HwtKD/xk0Qqxa27+hia1snUPxyvVnrooTVBYH+9ySNyiIkkWT9Jy9m9aT8o+YzUoh6NBua3Ig7\n9ZXju48Tz9yjf7wqqUx0fft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6C5/p1zmht8rdbG7qeZgu4zSmfua8zCaZAtSyz+Z5lPrA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\nhmFEzv8PfziwKj86n2IAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c782abcd30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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KjUq+p/ubwUbhUxdDrMCzKJZw2ivAaiYbhtGfjGhhsHZzOzOXP8TF288gyai897q0jgT7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\nYGZmuBiYmRkuBmZmhouBmZnhYmBmZsC/+2LKxPWRPEwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2c784f846d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for n, feature, name in zip(range(len(feature_desc)), feature_desc, boston.feature_names):\n",
" plt.scatter(X[:, n], y)\n",
" plt.scatter(X[:, n], y_pred)\n",
" plt.title(feature)\n",
" plt.xlabel(name)\n",
" plt.ylabel('House Price')\n",
" plt.show()"
]
}
],
"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": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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