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August 27, 2017 03:53
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 118, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"import matplotlib.pyplot as plt\n", | |
"from matplotlib import gridspec" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 119, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# http://public.tableau.com/profile/chris.gerrard#!/vizhome/TableauColors/ColorPaletteswithRGBValues\n", | |
"colors = [(31, 119, 180), (174, 199, 232), (255, 127, 14), (255, 187, 120),\n", | |
" (44, 160, 44), (152, 223, 138), (214, 39, 40), (255, 152, 150), \n", | |
" (148, 103, 189), (197, 176, 213), (140, 86, 75), (196, 156, 148), \n", | |
" (227, 119, 194), (247, 182, 210), (127, 127, 127), (199, 199, 199),\n", | |
" (188, 189, 34), (219, 219, 141), (23, 190, 207), (158, 218, 229)]\n", | |
"\n", | |
"# [0, 255] -> [0.0, 1.0]\n", | |
"for i in range(len(colors)): \n", | |
" r, g, b = colors[i] \n", | |
" colors[i] = (r / 255., g / 255., b / 255.) " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import random\n", | |
"series = [random.random() for i in range(10)]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 171, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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PPHG8zTnnzGwW0OUM78OACoA342gLqHTJEtzW9Tyu6VCP52at4ZmZq3jnu008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\nd/4/EUKiTUHTTA4AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10e616f98>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(series, c=colors[0], ms=8., marker='s', mew=0)\n", | |
"\n", | |
"plt.xlim([-0.5, 10.5])\n", | |
"plt.xticks(list(range(11)))\n", | |
"plt.xlabel('time', fontsize=10)\n", | |
"\n", | |
"plt.ylim([0, 1])\n", | |
"\n", | |
"ax = plt.gca()\n", | |
"ax.yaxis.grid(True)\n", | |
"\n", | |
"fig = plt.gcf()\n", | |
"fig.set_size_inches((4.5, 2.5))\n", | |
"plt.tight_layout()\n", | |
"\n", | |
"fig.savefig('img/series.png')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 123, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def plot(res, title, filename):\n", | |
" plt.plot(series, c=colors[0], label='observed', ms=8., marker='s', mew=0)\n", | |
" plt.plot(range(1, 11), res, label='forecasted', c=colors[2], marker='^', ms=10., mew=0)\n", | |
"\n", | |
" plt.xlim([-0.5, 10.5])\n", | |
" plt.xticks(list(range(11)))\n", | |
" plt.xlabel('time', fontsize=10)\n", | |
"\n", | |
" plt.ylim([0, 1])\n", | |
"\n", | |
" plt.title(title, fontweight='bold', fontsize=10)\n", | |
" plt.legend(frameon=False, loc='upper left', fontsize=10)\n", | |
"\n", | |
" ax = plt.gca()\n", | |
" ax.yaxis.grid(True)\n", | |
"\n", | |
" fig = plt.gcf()\n", | |
" fig.set_size_inches((4.5, 2.5))\n", | |
" plt.tight_layout()\n", | |
"\n", | |
" fig.savefig('img/{}.png'.format(filename))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Base" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 172, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The autoreload extension is already loaded. To reload it, use:\n", | |
" %reload_ext autoreload\n" | |
] | |
} | |
], | |
"source": [ | |
"%load_ext autoreload\n", | |
"%autoreload 2\n", | |
"from anompy.detector.base import BaseDetector" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 249, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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N0G9zayYYczq2HmPRYUopPnikMV0+3cCnq6N4s0dDGwVoplKe8OBbsOp18O4P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\nAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10e659e48>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"detector = BaseDetector(series[0], threshold=0.5)\n", | |
"\n", | |
"forecasted_series = detector.detect(series[1:])\n", | |
"base_series = [t[0] for t in forecasted_series] + [detector.observed_last]\n", | |
"\n", | |
"plot(base_series, 'Base', 'base')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Average" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 174, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The autoreload extension is already loaded. To reload it, use:\n", | |
" %reload_ext autoreload\n" | |
] | |
} | |
], | |
"source": [ | |
"%load_ext autoreload\n", | |
"%autoreload 2\n", | |
"from anompy.detector.average import AverageDetector" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 250, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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u6FSfaWv2lXgMqvTSmfmVUjmkpxtGzYqjTZ2K9G2f71wLSnkkTW5KqRx+i91P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\n1BE3AOqIGwB1xA2AOuIGQJ0f6gsvOpV2I3oAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10f9b7160>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"detector = AverageDetector(series[0])\n", | |
"\n", | |
"forecasted_series = detector.detect(series[1:])\n", | |
"simple_average_series = [t[0] for t in forecasted_series] + [detector.average]\n", | |
"\n", | |
"plot(simple_average_series, 'Simple Average', 'simple_average')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 251, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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bt27UrVuX119/nXHjxtGpUycAHnnkEerWrUtISAhly5Zl1apVBAQEsGzZMm64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\nWeR5aP3Lncg1MRslaWeyUBqq+U8oA87fR8RnDcd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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10e0de208>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"detector = AverageDetector(series[0], window_size=3)\n", | |
"\n", | |
"forecasted_series = detector.detect(series[1:])\n", | |
"moving_average_series = [t[0] for t in forecasted_series] + [detector.average]\n", | |
"\n", | |
"plot(moving_average_series, 'Moving Average (window size: 3)', 'moving_average')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 253, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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N74eFLYg1ctItWRxtDOdV7NvzsCaaOb4VaIrWNfB/QojOOSj7QSIZzVKrjrbYugxawxos\npVxQiHI9bOxD68p7HGiD1nU7A2gjpUy2lfA+5Rpa11gDoCvamOw6oL2UcmteFSKlfF9K6Sql/Civ\n8lQ4D1LKdlJKNynltsKWxRq56pYUQhjQBhnX2IgzBa2/1s8sbCnaAs/uOS5coVAoFAorFMSEkiDg\nz0xhmzDbp0yhUCgUirykIJRbRTItONXPS+iD2QqFQqFQ5ClOuUOJPtuqC9qMqwdx3EOhUCgUOaMo\n2hreTdKGS6WCUG6XgQqZwioAcfpaJ0t0AX7OV6kUCoVCcT8zCG0huUUKQrn9jTYb0Jwn9XBrnANY\nvHgxDRs2zFXhY8eOZfr06bnKI69wJlnAueRxJllAyWMLZ5IFlDy2cCZZIG/kOXnyJIMHDwZdT1jD\nYeWmbxhbl/QNSmvrDgxjpZTRQojPgcpSSuNatlnAaH3W5Dy0/eX6orm9sEYyQMOGDQkICHBUxAyU\nLFky13nkFc4kCziXPM4kCyh5bOFMsoCSxxbOJAvkuTw2h6xyMqGkOdo+cwfR1rlNQ9vPzLiepSKa\n2wkApJTn0LaX6YS2Pm4smrPIzDMoFQqFQqHIExy23KSUO7GhFKWUQy2E/YXm3kGhUCgUinxHbZys\nUCgUigeOB165Pffcc4UtgglnkgWcSx5nkgWUPLZwJllAyWMLZ5IFClYep/QKIIQIAA4ePHjQqQZD\nFQqFQlG4hIaGEhgYCBAopQy1Fs8pF3FnR8131zsU/9wXPTKc5za9QqFQKJybB75bUqFQKBQPH0q5\n5QM7d+7E39+/sMXIlu+++46hQ7NMblUoFIr7HqXc8gkhRPaRckBaWlqe5pdfcioUCkVhopRbLtm0\naROBgYE0a9aMDh06cPLkSQBSUlIYMmQIvr6+PProoxw5cgSA06dP06ZNG/z9/WnatCkffqg5sk1N\nTeW9994jKCiIgIAABgwYwO3btwEYOnQow4YNo127dvj6+jJ58mRefz3dwXFCQgJly5blxg1tD9Fp\n06YRFBRE8+bN6d69O9HR0QDEx8czYMAAGjZsSNu2bQkLCyuw+6RQKBQFyUOh3I5duJ3hyCuuXbvG\noEGD+Omnnzh8+DAjRoygb9++SCk5fvw4Q4cOJSwsjHfeeYcBAwYA8O2339KzZ08OHTrEkSNHeOut\ntwCYOnUqXl5e7N27l9DQUJo0acL7779vKis0NJSNGzdy4sQJXnjhBZYvX05KSgoAy5cvp2PHjpQt\nW5alS5cSERHB33//zYEDBxg4cCCvvPIKAB999BFFixbl5MmTrFu3jr/++ivP7oVCoVA4E/flbElH\neWpmSL7ku2/fPvz8/GjUqBEAAwcOZPTo0Vy4cIFatWrRvn17APr168fLL79MTEwMbdu25Z133uHO\nnTu0a9eOTp06AbBq1Sri4uL47bffAM3yq1Wrlqmsfv36UaxYMQCqVq2Kv78/a9asoU+fPixYsID/\n/Oc/pnwOHDhgWkJhMBhMXY/btm3j66+/BqBEiRIMHDiQs2fP5su9USgUisLkoVBu615vk+E8v5Sd\nEWvjWEIInnnmGVq3bs2WLVv49ttv+frrr1m/fj1SSmbOnGlSdpnx8vLKcD506FDmzZtHQEAAZ86c\noUuXLgBIKXnvvfcYPnx4juVUKBSK+52HoluySZWSGY68IigoiLCwME6cOAHAL7/8QtWqValcuTKR\nkZHs3LkTgN9++42KFStSpUoVTp8+jY+PD4MHD+bLL79k3759APTu3Zvp06eTlJQEQFJSkilfS/Tu\n3Zt//vmHzz//nMGDB+Pi4mIKnzVrFjdv3gS0sbzDhw8D0KlTJ+bPnw9AXFwcS5cuzbN7oVAoFM7E\nQ2G55RflypXj559/5vnnnyctLY3SpUuzfPlyrly5QpMmTViwYAGvv/46RYoU4ZdffgE0Rbd48WI8\nPDyQUjJ79mwA/vOf//DJJ5/w2GOPIYRACMF//vMfGjVqZNHC8vDw4Nlnn+WHH34wTWIBrWs0NjaW\nDh06IIQgNTWVl156iWbNmvHf//6X4cOH07BhQ8qXL8/jjz/O3bvW/MUqFArF/ct9uf2W2qFEoVAo\nHk7s3X7roeiWVCgUCsXDxX3ZLZlbS0pZYgqFQvFgoyw3hUKhUDxwKOWmUCgUigcOpdwUCoVC8cDx\n4Ci3yF3aUVjpFQqFQuE03JcTSiyy4wvtb63HCye9QqFQKJyGHFluQojRQohIIUSSEGKvEOLRbOIP\nEkIcFkIkCCEuCiHmCiHK5ExkC0TugvMh2pET6ysX6desWUOjRo0ICAjg+PHjjpddAHz00Ufcu3cv\nR2n79evHokWL7CrDx8eH3r17m8JOnz5N69atqV+/Po899liGxebmJCQk0LVrV8qXL0+ZMo49Fvv2\n7aNZs2Y0aNCATp06cenSJYvxzp8/T4cOHShVqpTFtZO2WLduHQ0bNqR+/fr07duX+Ph4i/GSk5NN\nniD8/Pzo3bu3yVNDSEgI/v7+uLi4EBcX51D5CoXCcRxWbkKI/sA0YCLgDxwBNgkhylmJ3xpYCPwI\nNAL6Ai2AOTmUOStGqyvz/wWQftasWUycOJHQ0FAaN25sd7q89stmi48++ojk5OR8L2fw4MGsWrXK\ndP7yyy8zatQoIiIieOeddxgyZIjFdO7u7rz77rts3brVofKklAwePJhvvvmG8PBwunXrxptvvmkx\nbokSJfjss88c3nIsISGB4cOHs2bNGiIiIqhUqRIff/yxxbizZ88mKSmJsLAwjh49io+PD1OnTgWg\nTZs2HDp0SO3nqVAUEDmx3MYCs6WUi6SU4cAoIBF4yUr8ICBSSvmdlPK8lHIPMBtNweUeo9VlxFHr\nKxfp33zzTXbt2sV7771Hmzba5szW/Lvt3LmTJk2aMHz4cAICAli1ahXx8fGMHDmSoKAgmjVrxqhR\no0hNTQXg4sWL9OvXDz8/P5o1a8bEiRMBWLp0KUFBQQQGBuLv78+6detM8nz66ac0btyYgIAAAgIC\niI6O5pVXXkEIweOPP05AQADXr1+3WW5ERAStW7fG19eXp59+OsdWxrVr1zh48CCDBg0CoE+fPkRH\nR1v0QuDh4UH79u0pWdKxfT8PHjyIu7s7bdu2BTRlunbtWotWaunSpWnVqpXJs4K9bNy4kYCAAB55\n5BEAXn31VasKUghBYmIiKSkppKamEh8fT9WqVTPEccYdgRSKBxGHlJsQwh0IBEyf2FJ7W/8EWlpJ\n9jdQTQjRTc+jAtAPcGwPLGtYsrQ2fwAXD9t3bP7AvjwtMGPGDJo3b87XX39NSEiIVf9uRsLDw3nx\nxRcJDQ2lT58+jBs3jrZt27J3714OHz5MWloaM2bMADQr6NFHH+Xo0aMcPnyYN954A4CuXbuyd+9e\nDh48yKpVqxgxYgQpKSncunWLadOmERoaSmhoKHv27KFChQr88MMPSCkJCQkhNDSUcuXK2Sz3+eef\nZ8SIEYSFhfHJJ5+YNn8GWLt2LSNHjrTr3kRHR1OpUiXThs4A1atXJyoqyq709hAVFUWNGjVM515e\nXpQsWZKLFy/mWxk1a9bk8uXLGAyGLHFffvllvLy88PHxoVKlSsTFxfHaa6/lmSwKhcJ+HJ1QUg5w\nBa5kCr8C1LeUQEq5RwgxGFgmhCiql7kGyP1bn9nqMnLpMMxpl/N8jdabg5NLrPl3Mza2tWvXNll4\noPle27t3L9OmTQO0MRt3d3cSEhIICQlhy5Ytprhly5YF4OzZs3zwwQfExMTg5ubGzZs3iYyMpG7d\nutSrV4/BgwfTuXNnevToQZUqVUzpzS0Ga+XeuXOHw4cPm7oPmzRpkkHenj170rNnT4fuSUFTmJbR\npk2bkFJy9epVhBAMGTKE//73v3zyySeFJpNC8bCS77MlhRCNgBnAJGAzUAn4H1rXZPZOx2xhy8Kq\n1Ax6zrCdfu2bmiK0lncez5zM7JMNYMWKFdStWzdDWEJCAkIIiw31gAED+PLLL3n66acBTeklJyfj\n4uLC3r172bNnD9u3bycoKIhffvmF1q1bW5TFUrl37tzJMiaU0zGiatWqcenSJQwGg8l6i4qKonr1\n6jnKzxLVq1fn3LlzpvP4+Hji4uKoXLlynpZh/pERGRmZxSI18uOPPzJo0CDc3d0BGDRoEJ9//nme\nyaJQKOzH0TG360AaUCFTeAXgspU07wK7pZRfSSmPSSm3AK8CL+ldlFbp3r07wcHBGY6WLVtqkxas\nWW1GLh3m6y8/Ye7Gg1C5mekIvWwgeNSH3L4aY12xAZwP4cq+FQQHBxMeHp7h0syZMxk/fnyGsMTE\nRGbOnEloaGgG/27e3t68//77WbLv378/zZo1Y8qUKabJJStXruSJJ56gePHitG3b1mRZjR492uRB\n+9atW9SsWZPQ0FACAgK4desWoDXsly9fZvPmzbi7u5smMAB4e3vTp08fUz169+7NlClTmDFjBuPH\nj+fWrVucOXMGb29vmjZtSkBAACEhIRw/fpyQEO0eL126lKFDh1qsh/kkEoDNmzczbNgwAgIC+Omn\nnwDN1Y/BYGD79u0Z4oaGhhIcHMz169eRUpoU+sSJE5kyZQqg+aE7cOAAUVFRGX6PwMBAUlNTeeON\nNxg/fjyzZs2iZ8+eeHh4kJiYSHBwsEl+I3/++Sfnz5/PUo8SJUowb968LPWYN28ehw4d4tSpUwD8\n8MMPlC1blrlz52apx/Hjx1mzZg2gWZDr168nKSnJVA8j0dHRDj1Xlurh6O8RHBycJe7o0aMt1sP4\ne5hj/nsYyfx7qHqoeuR1PZYuXWpq+319falbty5jx47NUqZFjA2KvQewF5hhdi6AaGC8lfi/AUsy\nhbVEU5IVraQJAOTBgwelVeZ1l3JiCdvHvO75l16nQ4cOcvXq1abzTZs2yYCAANm0aVPZvn17efLk\nSSmllDt27JD+/v4Z0iYkJMjXXntNNmnSRPr5+cnAwEC5detWKaWUFy9elH369JGNGzeW/v7+ctKk\nSVJKKRcvXixr1aolAwIC5Ntvvy1r1qwpjxw5ImNiYmRQUJD08/OTfn5+sm/fvjIuLk5KKeXHH38s\n69WrJ/39/eW1a9dkfHy81XLDw8Nly5Ytpa+vr3zmmWdkly5d5MKFC6WUUq5Zs0aOGDHC4n2YNGmS\nHDt2bIawiIgI2bJlS1mvXj356KOPymPHjpmuffjhh3L27Nmmcz8/P1m5cmXp6uoqq1WrJl944QUp\npZRpaWmyfPny8tKlSxbL3bt3r/Tz85P169eXHTp0kDExMaZrw4cPl2vXrpVSSpmYmCirVq0qfXx8\nZJEiRWS1atXkhAkTpJRSXrlyRfr4+Mjk5GSLZaxdu1Y2aNBAPvLII/Lpp5823VcppezevbvpOY2N\njZV9+/aVjRs3lk2aNJF9+/aVN27cyJCXEELevn3bYjkKhSJ7Dh48KAEJBEgbusphf25CiGeBBWiz\nJPejzZ7sCzSQUl4TQnwOVJZSDtHjD0Gb9v8msAmoDEwHUqWUrayUYdOfG5G7YOFT9gk8ZF3W7sXc\npldk4aOPPuL27dt89dVXeZrvgQMHmDNnDnPm5N3Kkcz89ttvnDp1igkTJuRbGUZcXFy4desWJUqU\nyPeyFIoHEXv9uTk85ial/FVf0/YxWnfkYaCLlPKaHqUiUM0s/kIhhBcwGm2s7RbabMt3HS3bhCNr\n0SyNneU2vSILXl5eLF68mLNnz2bpvsgNzZs3p3nz5nmWnyXMZ7TmFyEhIbz++utWx+sUCkXecl96\n4lYoFArFw4nyxK1QKBSKhxal3BQKhULxwPFAKbek1KRCTa9QKBQK5+C+d3kTERvBkvAlbIzcSFJq\nEp5unnSr1Y2BDQZSv4zFTVPyNL1CoVAonI/72nLbGLmRAesHsPLflSarKyk1iZX/rmTA+gFsjNyY\nr+kVCoVC4Zzct8otIjaCCSETSDWkWryeakhlQsgETt08lS/pjSh/bull5NSf27lz52jevDkBAQH4\n+vrSv39/bt++DWg7KQQFBeHv70+zZs3o3r273ZsvP6jlm++w0rFjR8qWLcs333xjl0wKxcPCfavc\nloQvsaqYjKQaUllyckm+pDei/Lmlk1N/blWqVGH37t2EhoYSFhZGpUqVmDRpEgCenp5s3bqVQ4cO\ncfjwYZ55ZfFPAAAgAElEQVR88kmTh4TseFDLN/dZt23bNotbICkUDzv3rXKzt8tw3dl1nLhxIsux\n/qx9Hnc2RG6wek35c7OOI/7c3N3dKVKkCKApfePG0aBt3Fy8eHFA2youLi7OrkXQD3v5CsXDzn05\noSQpNcnumY130+7Sf13/XJWVnJpMUbeiWa7NmDGDo0ePMnbsWIKDg03+3P766y8aNWrEkiVL6Nu3\nr6m7Mjw8nFmzZvF///d/gPZl37ZtW9PWUiNGjGDGjBmMGzeOwYMH07VrV5YvXw7AjRs3AM2f23PP\nPQfA+fPnCQoKIioqioSEBKZNm8bly5cpUqSIyVPADz/8wOzZswkJCcHb2zvbcp9//nleffVVXnzx\nRY4dO0bz5s1NDfTatWtZu3atXVth2fLnVrt27SzxU1JSaNGiBVFRUfj5+Zk2IDbSuXNnwsLC8PHx\nYdOmTap8hUJhk/vyE9DTzRNPN0+74hZxLcKyp5ZlOYq4FrG7LEuKzRKW/LldvHjRpj+3qVOn4u/v\nj7+/PyEhIZw5c8bkz23cuHGmuOb+3Lp164avry+9e/c2+XMrUaKEyZ/bnDlzuHHjBh4eHqb05jvR\nWCvXHn9u+bXHo7u7O4cOHeLKlSs0aNCAWbNmZbi+ZcsWLl++TP/+/fn0009V+QqFwib3pXID6Far\nm13xnqr9FI3KNspy9Kjdw6703Wt1z42YGbDmz+3QoUMcOnSIkydP8v333wPY9Oc2cuRIwsLCOHTo\nEMWLF8/gz23MmDFcvXqVoKAgdu/ebVUWW+Wakxf+3IzY48/Nzc2NF198kcWLF1u8Pnz4cJMbHVW+\nQqGwxn2r3AY2GIibi+1eVTcXNwY2HJgv6S0RFBREWFhYBn9uVatWteo80+hXzTi5xOhXLbM/N8Dk\nB8nozw1g8eLFWfy5tW7dmg8++CCDP7cSJUqYZt/ZKtfb2xt/f38WLlwIkMGfm6OUL18+iz+3atWq\nWeySi4qKIilJ62aWUrJ8+XL8/PwAuHLliqmOoN3Tpk2bms6HDBnC6tWrH9ryFQqFZe5b5Va/TH0m\nt5lsVUG5ubgxuc1k6pWuly/pjZhbNuXKlePnn3/m+eefp1mzZsyePds0ZmaJ6dOnU7RoUZo1a0bT\npk3p1KmTaZr3okWL+Oeff2jSpAkBAQF89913AHz99df06dOHwMBAjhw5YrIEbt++zTPPPEPTpk1p\n2rQpqamppu7FcePG0alTJ9OEkq+++spquQsXLmTOnDn4+fnx4Ycf0q5dO5O8a9euZeTIkTbvhzmz\nZs1i9uzZ1K9fny+//JL58+ebrk2cONHUxXn06FHT5JamTZty/fp109T2qKgoOnbsaLq2c+fODFbN\ngQMHqFatGpZ4GMpXKBSWue+9Apy6eYolJ5ewIXKDaYeR7rW6M7DhwGwVU16kV2jklz83W1y/fp1B\ngwYV2gSLwi7fyNChQ/H397d7iYJCcT9jr1eA+165mWNtVmNBpX+YmTZtGrNmzaJx48Z56s9NYZuO\nHTty/vx5JkyYwLBhwwpbHIUi33kolZtCoVAoHmyUPzeFQqFQPLQo5aZQKBSKBw6l3BQKhULxwKGU\nm0KhUCgeOJRyUygUCsUDh1JuCoVCoXjgyJFXACHEaOBtoCJwBHhdSvmPjfgewERgkJ7mIvCxlHJB\nTspXKBT5T8137XMLZeTcF/bt16pQFAQOKzchRH9gGjAS2A+MBTYJIepJKa9bSbYcKA8MBc4AlVBW\no0KhUCjyiZxYbmOB2VLKRQBCiFFAD+Al4MvMkYUQXYHHgdpSSuMOsFE5E1ehUCgUiuxxyHoSQrgD\ngcBWY5jUtjj5E2hpJVlP4ADwHyFEjBAiQggxVQih9rlSKBQKRb7gqOVWDnAFrmQKvwLUt5KmNprl\nlgz01vP4ASgDqM3wFAqFQpHn5GhCiYO4AAZgoJQyHkAI8RawXAjxqpTybgHIoFAoFIqHCEcndVwH\n0oAKmcIrAJetpLkEXDAqNp2TgACq2iqse/fuBAcHZzhatmyZZdf5zZs3ExwcnCX96NGjmTt3boaw\n0NBQgoODTc4/jUycOJEpU6ZkCIuKiiI4OJjw8PAM4TNnzmT8+PEZwhITEwkODs7i3HPp0qUMHTo0\ni2z9+/dX9VD1uG/qcWvXz9ze+1uGsNS4q1xd8TEpN6IBWH34ApduJzl1PR6U3+NhqcfSpUtNbb+v\nry9169Zl7NixWcq0hMNeAYQQe4F9Uso39XOBNkHkGynlVAvxRwDTAR8pZaIe1gv4DfCyZLkprwAK\nReHj6FIAI9XKeNKiZlkeq1WGFrXKUKNssQxOfRWK3GCvV4CcdEt+BSwQQhwkfSlAMWABgBDic6Cy\nlHKIHn8J8AEwXwgxCW1JwJfAXNUlqVA8OBz4oBMHzsWyLzKW/ZGxrDwUg5Tg412ER2uVMSm7ej7e\nuLgoZafIXxxWblLKX4UQ5YCP0bojDwNdpJTX9CgVgWpm8ROEEJ2BmcA/wA1gGfDfXMquUCiciHJe\nRejapBJdm1QC4HZSCqHnb+rK7gafrDtBSpqkpKc7j9ZMV3aNK5fAzTX7ERJLlmSQywkA9hoaZbmm\nFpU/3ORoQomU8nvgeyvXsnTYSilPAV1yUpZCobg/KenpTocGPnRo4ANA0r00DkXfZL9u2U3bEkFy\nioFiHq4E1ihNi5qasmtarRRF3V3tKmOM2woABtzLqtwUDzcFMVtSoVAo8PRwpVWdcrSqUw6Ae6kG\nwi7cZn9kLP+ci2XOrrNM23IKD1cXmlYrSYtaZWhRqyyBNUrjVSRrUxXkcoIgl5Om/y1Zb4qHF6Xc\nFAqFRc590YPo2ESe+Gono9rW5q0nrS1lzRkebi4E1ihNYI3SvEId0gyS8MtxJsvul/3RfLf9DC4C\nmlQpmSW90Woz/q+sN4U5SrkpFAqrTPkjnFKe7rzcrk6+l+XqImhcuSSNK5dkaOtaSCk5ez3BpOyO\nxtw2xTW32rTzk85hvUXu0v7Werxw5VAo5aZQKCxz8Hws645eYmpfP4pb6BbMb4QQ1CnvRZ3yXjzX\nojq/H7pgumZutRlZ4D6Fg4Z6xMjyRMvycDQBStWAUtXBqwK4FMBe7Tu+0P4q5VboKOWmUCiyYDBI\nPl53kiZVStAnwOZeCwVOZqvNSFGRggsGGrhE0UkchJXL0y+6FtGUXGld2ZWqof+vH8XKQG7X4kXu\ngvMh6f8rBVeoKOWmUCiysObIRY5E32LZyCCnW5NmyWozIgT0uvcpAOc+agu3ouDmee3vrfPa/9H7\n4ehyuHcnPaGHl5nCy6z8qkPREtkLZrTajP8r5VaoKOWmUCgykHQvjSl/hNO1cUUeq122sMXJgDWr\nLf262dhbEW+o0Fg7MiMlJN1MV3jmyu/MNu08NTk9vmdpC8qvpq78qkHMgXSrDbT/lfVWqCjlplAo\nMjDnr7PciL/He90bFLYoWbBltZnHyXbmpBBaV2SxMlDZP+t1KSH+qpnyO5/+/6WjcDsaDKnp8V3c\ns+ahrLdCRSk3hUJh4vLtZGbtPMOLrWtSo2zxwhYnA9lZbenxTuo7l+RihxIhwLuCdlRrkfW6IQ3i\nLmoK798/Yff0rHGU9VaoFMD0IYVCcb8wdVMEnh6uvNaxbmGLkoX33RbbHdceCy9XuLhq3ZE120DM\nP9bjmY/DKQoUZbkpFAoAwmJusyI0hk96N6FEUQvdbIVJ0i18yxigeHMYuhHcPCxGW3PkIm8sPcTc\nIc0LRi7zGZKWUNZboaEsN4VCgZSST9adoF4FL557tFr2CQoSKWHtG5B0G/rOs6rYAHr6VaJtvfJ8\nuPo4ifdSrcbLM+yxzHZ8nv9yKLKgLDfFQ42jPsse1J3m/zh2mf3nYln0Ugu7dugvUA7MhROr4dlF\n2mxFGwgh+Kx3EzpP38n0Lad4v0c+7liSndVm5PxuiPwLarXNP1kUWXCyp1ihUBQ0d1PT+HxjOB3q\nl6dtvfKFLU5GLh2FPybAoyOgUS+7klQrU4w3n6jHvN3nOHbhdvYJcooVqy3J0mLwVa/mnxwKiyjL\nTaF4yFmw+xwXbiUx78UCGqeyl7vx8NtQKF8PnvzUoaTDH6/F6sMXeP/3MFa+2hrX/FiIPjTd6o+I\njWBJ+BI2Rm4kKTUJTzdPutXqxsAGA6l/fB1s/RgOLoTAITYyzHuMsjyMKMtNoXiIuR5/l2+3nWbw\nY9Wp6+Nd2OKkIyWsfwviLkHfBeBe1KHk7q4ufPa0L0cv3Oanv8/lh4QmNkZuZMD6Aaz8dyVJqUmA\nplRW/ruSAesHsLFKQ2g+DNaNhVOb8lUW0BTtxD0TafFzC9Mxcc9EImIj8r1sZ0IpN4XiIWb6llMI\nAWM61StsUTJyeAkcXQY9v4ZyOVuWEFijNIMeq87/Np/i0u2kPBZQIyI2ggkhE0g1WJ68kmpIZcLu\n9znVciTU7wbLX4SYg/kiC9ihaCM35lvZzoZSbgqFsxO5K92VSh4ScfkOS/dH8cYTj1C6uPUZiAXO\n1XDY8Db4Dwa/Z3OV1fguDfD0cGXSmuN5JFxGloQvsarYjKQaUlkS8Qv0+T+o6AtL+sGNM3kui12K\nNmQCp26eyvOynRGl3BQKZ2fHF3m+GFhKyafrT1CjbHFeaFkzT/POFSlJ2jhbqerQ7Uu7khgtFEuU\n9HRnUs/GbDp+hc3HL+eVlCbstYQ2RG4gXqZx99mFGDxLw+I+EH8tT2WxW9GeXJKn5TorakKJQuHM\n5JMblR0R19j173XmPB+Ih5sTfeP+8S7EnoUR28HD+vZfNidwlMnoMby7b0U61C/PxDXHaVW3HF45\n9E0npeR60nWi70QTfSeas7fP2lSs5iSlJtFyaUvtpAS4SYn7bx1x8/DG3dUddxd3PFw9cHdxTz9c\n3fFw8cDN1S1DuLV4a8+stUuWDZEbmNRqUo7uwf2EUm6Kh5I0g2RD2KXCFiN78sGNSkqagU/Xn6Bl\n7bJ0blQh1/nlGWG/wcEF0PMbqGB9fdrGyI1Zut+M40przqxhcpvJdKvVzXRNCMHHvZrw5PS/+Grz\nKT7saT3vlLQULiZcNCkw4xFzJ4aYOzEkp6V7CijvWR4X4YJBGrKtmoerB5+1+YyUtBRSDancu3mW\nlL+/I6VMeVIaPUsKaaSkpXDPcI+UtBRSDOlHqiGVe2n3SEhJ0ML06+Zx76XdI8WQkq0cxnuVnJpM\nUTfHJuncb+RIuQkhRgNvAxWBI8DrUkobG6yZ0rUGdgBhUsqAnJStUOSGlDQDqw9f5Pvtpzl7PaGw\nxbFN5kXCebSV05J9UZy9nsA3z/kjcuugM6+4cQbWjoEmfSHgBavR7B1XqlOqDvVKp0+SqVamGGM7\nP8IXG8Pp4luKEt63syiv6DvRXE68bFJWbi5uVPGqQlXvqjSv0Jyn6z5NNe9qVPWuSlXvqni6eTJx\nz0RW/rsy2+r1rN2TrjW7Zgws0wyWPAslGkHwzFw7S23xcwu7LElPN88HXrFBDpSbEKI/MA0YCewH\nxgKbhBD1pJTXbaQrCSwE/gSc6HNR8TCQnJLGbwdjmLXzDDE3k+jcqALT+zej13e7C1s061gaZ8ul\n9XY7MYXpf57i2cBqNK5cMhfC5SGpd7VxNq/y8NR0m428veNKc8Pm8mz9ZzNaYHHReNeLZPjO9I8a\nL3cvk8LqWq6r6f9q3tWoWKwiri6uNssa2GAga86ssSmTm4sbAxsOzHqh7hPQ6zv4/WUoUQU6vGez\nrOzoVqubXYrWIA3MDZvLgAYDKO7uXJ4f8pKcWG5jgdlSykUAQohRaL4lXgJsjQDPAn4GDIB9Ww0o\nFLkk8V4qS/ZFMeevs1yLv8tTfpX5vyHNaVDRDs/KFki6l4anh+0GL084s8Py1k65tN6+2fYvKakG\nxnVxoqn/Wz6Eqydh2JZsPV47MoFjQ+QGAHw8fajqXZU6pepQv0QQP++OZ8ijgYxu8xilipTKlfVa\nv0x9JreZbNWadHNxY3KbyRmsyAw0HQBxF7RF3iUq52qRt12KVrjRtmpbvj38LfOPz2dww8EMbDiQ\nEh45ex+cGYeUmxDCHQgEJhvDpJRSCPEn0NJGuqFALWAQ8N+ciapQ2E9ccgo//X2euSGRxCWl0Nu/\nCq+0r0Od8l4Z4tm7V+SR6Fs89+NeXlsSyuznA/Nv/8V7iXD4Z9j0vvU4ObTeIq8nsOjvc4zpVA8f\nbyfpljq5DvbN0mZGVm5mM2pSapLdEzgAfunxC7VL1c6yQ4e8eYwlf8XwUvOilC6a+27ZbrW6UadU\nHZacXMKGyA2mCS7da3VnYMOB1hWbkTZvab7h1o0FrwpQv6vt+FawV9F2q9WNywmXmXdsHj8e/ZFF\nxxcxsOFAnm/0PCWLOIk1nwcIKaX9kYWoBFwAWkop95mFTwHaSimzKDghxCPAX0AbKeUZIcREoJet\nMTchRABw8ODBgwQEqKE5hf3EJtxj/u5IFuw5x91UA882r8rLbetQrUyxXOe9I+Iqwxce4JmAKkzp\n45e341WJsbD/R9g/W/ufbN7LwaugbgeHihix6AAnLsaxdVw7iroXgPWZHbeiYFYbqPk49F9sszsy\nxZBCSEwIY3eMJU2mZZu1p5sn+wftt3gtLjmFzl/txK9qKX58Ie+3HMvRZA1DGvz6ApzZBkPWQdXA\nHJd/6uYpuxXttcRrLDi+gOWnliMQDGgwgBcavUBZz7I5Lj+/CQ0NJTAwECBQShlqLV6+zpYUQrig\ndUVOlFIaVy06yQi24kHialwyP+46y8/7opASBj1WnRFta1OhRN5ZKO3r+/BlXz/e+vUIFUoUZdyT\n9bNPlB03z8Pf38Ghn7Qtp/wHw8VDcOGA7XTLX4DXDmieou1gz5nrbDlxhW+e83cOxZaWAr8NgyIl\node3VhVbRGwEq8+sZv3Z9cQmx1KySElu381+M+TutbpbvVaiqLb27ZWfQ/nj2GW6NqmY42pYIkeT\nNVxctUXei3ppi7yHbYGydXJUfr3S9ZjUahKTWk3KVtGWL1ae8Y+OZ5jvMBYdX8TS8KUsObmEvvX6\nMrTJUHyK+eRIBmfA0b6V60AaWSeEVAAsrZD0BpoD3wohUoQQKWjdks2EEPeEEO1tFda9e3eCg4Mz\nHC1btmTVqlUZ4m3evJng4OAs6UePHs3cuXMzhIWGhhIcHMz16xnnvkycOJEpU6ZkCIuKiiI4OJjw\n8PAM4TNnzmT8+PEZwhITEwkODiYkJOM4ydKlSxk6dGgW2fr376/qkQf1iLmZSNcR71G/y2B+2R/N\nS61rsfvdjrzVsSYjBj+b5/V4JqAqNSOWMnn69xn2LHS4Hk+2J3xGH/jGH8KWQ6s3mFn0TcavvpBB\nsSWmSIKXJhISlbGbaemBGwztUAeiM1onluqx8Y9N9O7Vi4DqpejpV8kUXqjP1bZP4cJBlro/y9BX\n38oQ92byTYK6BdH6/db0XduX9WfX06N2D8Z4jcFjoQduLhm/yS8uukjszljTuZuLG03vNbVZj65N\nKtKpoQ+T1hznxKkzzvF+jHmbufeeAs8ypkXeuf09iroVtaseZYqWYUzgGEamjcR1uSurT6+m24pu\nfLr3Uy7FXyq093zp0qWmtt/X15e6desyduzYLGVawqFuSQAhxF5gn5TyTf1cAFHAN1LKqZniCqBh\npixGAx2APsA5KWWWTnTVLanIjsjrCXy//TS/H7qAd1E3hrWpxfMta1LSM/89SGuOPU8yf08k3w0M\noLtvpewTaQkhcifsnqF1P5WqDi1fB/9B6QuW5/ewz0cYQBFvSEmGblOg+UtWrZ9f9kfx7sowfn+1\nFf7VS9uXd35y+k+t8e70EbQZA6R3O64+s5qdMTtBQrtq7ehVpxdtqrbB3SX9d7W0zs2I+bhSdly4\nlUTnr3bybPNqTApunHf1yy03z8PcztoEkyHroIhX9mnymDv37rA0fCk/nfiJ+JR4etXpxTDfYVTz\nLnxHtvZ2S+ZEuT0LLABGkb4UoC/QQEp5TQjxOVBZSmlx2o8ac3u4ya1z0PDLcXy3/Qzrj16knFcR\nRratzXMtqlM8h7tO5BSDQfLmssNsOnaZRcNaEFTbxhhFWiqcXK0ptUtHtP0FW4+BRr3BNRdyp96D\nze/D/jlad2b3aVl2z4+/m0r7qTtoXbcsMwb457ysvCLukjbOVrkZDFxOxK1/M3Q7NizTkF51e9Gt\nVjfKFC1jNRtHxpVs8X+7zvLZhpOserU1TauVyosa5g2XjsD87lCjFQxYmrvnJBckpiSyLGIZC44v\n4Pbd2/So3YPhvsOpVbJWocgD+ajcAIQQrwLvoHVHHkZbxH1AvzYfqCGl7GglrVJuDzE5VW5Hom/x\n7fbTbDlxhSqlPBnVvg79AqsW6vjR3dQ0XlrwD0ejb/PrqJY0rJRpOrVx5uPf38LNc1C7PbR+E2p3\ncHjBrk2/XIeXaDPtfBpB/5+gZFXTpS//CGfe7ki2jWtP5VKF7NfLkAaLenEz9jQbOo5ldfRWTsae\npEzRMvSo3YNedXpl2TrLHnKz20ZqmoFe3+1GSljzWmvn8kJ+Zhv83A+aPpcni7xzQ1JqEitOrWD+\nsflcT75OlxpdGOk3krqlc+axITfkq3LLb5Rye3BxVLn9+nJLvt1+mr9OXaNWueK82r4Ovf2r4O4k\njdCd5BQGzNnL9fi7rHilFVVLF8s48zHppmahtX4DKjtmOTmyfyIXD8OywdrGw/0WQK3HiY5N5Imv\ndjKqbW3eyovJL7kgxZDC7j/GsurcH+z08gKE1W7HguZozC16f7eb97o1ZETb2oUmh0WO/KIt8m73\nbq4XeecFd9PusurfVcw9NpdLCZfoVL0TI/1G0rBs5tGn/EMpN4VT4qhyA2hQ0ZtXO9Slh2+l/PGo\nnEuu3kmmzw97qCquMb/+PxQN+zl95mPL0VDG8S6cHI0rJdzQdvo4FwJPfsJrZ4PYf+4m299un6fd\nto54d46IjWDNmTWs+/d3YlPu0NCjNL2avZxtt2NBM2nNcZb9E82Wt9pqHyjOxK5p2iLvnt8UuCdv\na6SkpbD27Fp+PPojMfExtKvajpf9Xsa3vK/NdHnhGVwpN4VT4qhy+/GF5jzRwAcXJ1RqJi4dJX77\nVxQ9tZokUZyirUfh3nIUFC+Xo+wiYiMYsH5Atls6LXtqWdbxpbRU2PoR7PmG1WmtSOvxNc8E5d5q\nc8SKvJl8kw2RG1h9ejUnY09S2qMkPW7F0tuzKvVf2KhNe3cy4u+m0mnaThpVLsHcIc2dZ89N0D6U\nNrwNB+bDgCU5XuSdH6QaUtkYuZE5R+dwLu4crSq34mW/lwmokN5uO9QDYQf2Kjfn6NtRKKzQuVGF\nglds9jgHlRLO7oSfnobZj+N15SBXWn5I+7RveTmmC6m5sEpy5ZfL1Q1Dp4/50vtdnnQN5elDQzUX\nMrnAHu/OKYYUdkTvYOz2sXRc3pH//fM/KhWvxIz2X7M11Yf/3LlL/WcWOqViA/Aq4sZHvRqzLfwq\nG4/lvd+3XCGEtoNL/W6aZZ6Pnrwdxc3FjZ51erKq1yqmtp3K1cSrDPljCC9teol9l/ax4eyGQvMM\nriw3RYGS29mSBcJ8vcyhFmQ1pMEJ48zHw1DBV5vOrs98/OvUNV5a8E+udjGxd3d3Nxc3xgSMoZh7\nMYq7Fae4e3GKuRfjnzMJTP3jPAt7+NB8/3t4JsYi+syDRzo5LIs9VqQLLnh5eBF3Ly7rbMeQr+HP\niTB4BdR1vPyCZsSiAxyJvsWf49pRomjhjQNaJCVJW+R943SuFnnnJwZpYHvUdmYfnc3J2JMIBNLG\nbjtWeyBs4BQ7lCgU9x3WnIOmJGkzH/fM1GY+1moHg1dCnY4ZZrG1rVeeqf38GLvsCD7eRXm7i2Pd\nLo7sn5hqSOX7w9+TlJqUpQHxqgujI4CS4FKyJMVC3qTYvuIUK16B4u7pirC4e/EMijHDNbfi/BLx\nS7ZWpAEDPsV8mNdlXsZupuj9sO0TbdnDfaDYAD4Kbkznr3byv00RfNyrSWGLkxF3T3juF5j7pLZO\ncNgWzZOCE+EiXHiixhN0rN6RUX+OYs/FPTbjG3sg8sN56gOj3JzeIojcRVLaPTzrPlGw5ToRtxLv\nFbYI2ZPZOWiFxvDP/8G+2ZAUq1lo/RbYnPn4tH9Vrt25y+QN4ZT3LsKQVjWzLdYgDey9tJdfI361\nW1RPN0/2DdqHQRpITk0mISWBH/46wc/7T/G//vXxLmYgISWBhHvxJEWsIyFyJwkUJ6GGH4mGFBJS\nE7iccJnElEQtXkoCiamJDm1ObORC/IWMii3pJvz2ElQOgI4fOJxfYVG5lCfjnqzPJ+tP0Nu/CgHO\nsOjdnGJlNCt4bmdtm65CWuSdHUIIDl09ZFfc/PIM/sAoN2fFNJh66neShMRzX+4GU+9HrsYlMzck\nksV7zxe2KLax5Bx0WgPNMjPNfLRvqvjItnW4GneXSWuPU967iNVdTG4l32LV6VUsP7WcqDtR1C1V\nl6blm3Lk2pFsyzDun+giXCjmXow7SS4s3Z3EkJZt6Fk/09TsBv0hfIM2rfxWPPT/Gcpb7gpKM6SR\nmJrIjaQb9FzV0676ZvDuLCWsfg3u3oGhG8DVybr3smFIq5r8fugCE1aGsfb1Nk6z7MRE6RowaLm2\nyPu3oYW6yNsajvRA5JdncCf71R4sMgzEC63bqKAGU52BqBuJvP97GG2+3M6SfVF2WTCFyvbJWcO8\nfGDscegxzW7FZmRC94YEN63MmF8O8/eZG6ZwKSWHrx7mvV3v8cTyJ/jm0Df4lvdlYdeFrAxeyX+D\n/ptl/8TMWHKAOXVTBJ4errzW0crC2gbdYcQ2QMCPHTV3MxZwdXHF28ObmiVr2j1tO4N35/1zIHwd\n9P5e22LsPsPVRfD5M76cunKHuSGRhS2OZSo11Rbsn9kG68ZoHxROhKebZ86enTxEKbd8IiI2wuo6\nJdD6mieETODUzVMFLFn+E3H5DmN+OUSHaTv449hl3nziEXa/15F3ujYobNGyYkiDszvgpz4QZWF8\n4GCDu5IAACAASURBVHa05kgzB7i4CKb2bUqLWmUYuegAodGXWBa+jL5r+/L8xuc5fPUwo/1H82e/\nP/ni8S8IqBCAEMLkl8uagrPkAPPYhdusCI1hbOd6tidClHsERmyFOh1g2SBt/ZTBugsZe/ZoBLNd\n+C8ehs0fwGOjoEEhTAbKI5pUKcnQ1rX4+s9TRMcmFrY4lqnTUfPkfegny17bCxmHn508xrls2QcI\nR6Zz50d/c2EQGnWT77ef4c+T2hZZHz7ViGebV8vgubpQZj9mRkptpuPR5XBsBcRfBltfjjl0Dgrg\n4ebCuKe8eHXtQob8+T4uLim0q9aOtwLfomXllrgIy9+XjjjAlFLy8boTPOLjxXOP2rGxbRFveHYR\nhEzXJnxcOgLP/KiN52TCLu/ORisyOU7rJvNpCJ0/zl4OJ+etzvXYGHaJD1YdY8HQR51r7ZuRpgM0\nR6dbP4ISlSDwxcKWyIRDz04+8MAsBXC2CSX2Tue25VTxfkBKye7TN/hu+2n+PnuDOuWL80r7uvRq\nVtn5xipiz0LYb3D0V7jxLxQvD42fgXL1YMM422mHrHNIwd1Nu8vmc5tZFrGMI9eOULZoORKuN6fY\nvVb8PrIHZYp7OCS6rTGJP45dYtTiUBa+1IJ29RycPXd6K6wYBkVLag5DK2bdYcKu3VJqdtXyObUZ\nXt7plNPUc8KfJ64wfNEBZj7nT8+mlQtbHMtIyaL/9mOg61ZGprzFNoPWZga5nABgr6FRliQF9ZGZ\nVx4czFFLAQoRZxhMzW8MBsnmE1f4fsdpjsbcxrdKSWYNDuDJRhWdazeR+GtwfKWm0C4cAA8vaPAU\ndPsCarXXBuLn2/Gi22m9nY87z/KI5aw6s4rbd28TVCmI6e2n065aOy7E3qPvrD28tOAflox4jGIe\n9r9+1p6Pu6lpTN4QTvv65R1XbAB1n4CRO7R9Kf+vs+Y41Ldvhih2WZEHF2pWcJ+5D4xiA+jUqAJd\nG1fko7UnaFuvfIG4VHIYIZiUOoQK4ibfus/kuXvvc0TWZYzbCgAG3Muq3AqKbrW6USfhNkt2vMeG\n4sVIcnHB02Cge+XHGdjiLYfWtzmKUm75gHEw1V7L7X5SbClpBtYcvsgPO89w+mo8QbXLsOilFjz+\nSDnn6ba5G69NaAhbDme2a7Md63aGvvOgXjfwMNs7MPMMSZ0kIfA079U4H5Jx3ZsZKYYUdkbvZFnE\nMvZe2kvJIiXpXac3fev1pWbJmqZ4Ncu5M//FFvSf8zejfw5lzgvNc23dLtxzjgu3kpj3YvOcZ1K6\nJry0WZuYsGKY5gm800cZZuDZ9O585QRsfAcChmRRjA8Ck4Ib0+mrnXz5RzifPW1778TCwoALb6S8\nxs8ek5nnMZWPU54nyEUbKw5yOWHRessTpITEG3DnkubO6M4luHMZ7lzU/16i3pUTTDKkMOl6LMlC\nUFRKIBryUbGBUm75Rrdy/qy8bHsBI0CHYjW0/QCdbCpvZpJT0vj1QDSzd57lwq0kOjX0YUofPwJr\nOMk6oLQUrYst7FdtyntqElRvCd2nQuOnLY4nARkG4iPc3VlS0puNZl+Y3RISGXj7DvVTUrJYb5cT\nLrPi3xWsPLWSq0lXaVq+KZPbTKZzjc5WP1h8q5Zk1uBAXlrwDxNWhvFl35ztYgJwI/4uM7eeZtBj\n1anr452jPEx4FIOnZ2vr0jZN0Mbh+i2wuD9mhrrdS9DG2crUhq7ON6khL6hYsijju9Rn4prjPBNQ\nhcAazrPhszl38WD4vXGs8JjEFPcfTeFj3FbkzHpLjjMpqPTjsjbGd+dy+jVDilkioXX3l6gE3pXA\nu6L2LOkUNX4w2vhYzCucu0XNR15bEsq4J+tTq1zxfMl/4MWzrBGSVFsNl5TsuHmC5XOD6NPhc1we\n6ZwvsuRmPDIuOYXFe88zLySS2IR79Gxambntm9OgYgkbOTiIcR9HRx90gwGi92kK7fgqbZG1TyNo\n945mQdgzDV3fYsvS2ECSiwsrvb1YU7KUaWzAIA38ffFvfo34lZ0xO/Fw9eCp2k/Rv35/u9cttq1X\nnv/1a8qYZYcp710kx7NIp/95CgSM6ZRHX8BCQNAobdxt+RCY3Q76L4IqgelxMv9WG9+BW1EwYntG\ni/gBY3BQDVaGxjBh5THWveGEa990buHN16l9mOnxrSksyOVkBuvNgxTN27dFhWUWdi8+Y+ZFS+oK\nqxKUrQs122jewr0rpod7+WRc12iryz8XE7Xs4aFVbgfP36TzVzvp/2g1/r+9+w6PqkofOP590ykp\n9IROgBCUItKxUEQpkQirAqIuxbW7+tNdFSwL6oriulTBXRuILqyoCEhRZAUEpCgBRCABpIQiJQQI\nJaSQ8/vjTiCEtAkzc4fJ+3mePJCbO3PfyUzue8+557znyVsaUyPMhV2Du1fQZO86RlcozwvVqhSY\n4AKM4aWUVDY1vplXT2xh/vePMXJNLNE93rJGm9ks5XQGU1ftZvrqvWRk5XBXm9o8fHM09aq44WJg\n2Zukk0O5BiWc93dkm3UPbfMXcDIZwmrD9fdD8/4Q6XzJpJJO29icspll+5ax79Q+GldqzIh2I4iL\njqNikPMVIvq2qsXRUxm8vnAb1UODGXKDc8vibD98ihlrk3mhd1OnB6cUq/4N8NBymPVH+KiXNcfv\n+vutn+W2dBvcBJs+gw2fwh1ToLoXTvNwIX8/YfQfmhP/zireX7GLx7p4fpHOkro34H+XbftX4Dh+\nN1WoIalUltMwIc8PA0IuJqewKGsOXd6Elft/Zy9eCunyv8DNrbcym9yW/rUL01fvYfLS3/gyYT9D\nb2jAI50buuaGseME0OvMWRpmZjEjPPTSm6mOrq6YrCzuTD3F7T0/4JXlz3PXuT08OKMHDzTsR1DX\nl2yrGzdq3hb++1MyfiLc16EeD9zYwLXJ3yEpNYkZP41lEXus380nbejVMK7g6i0n91vJbPPncPhX\nCImAa/taCa1uR/Ar/ZV0SadtfLr1U+Ki4xh942haVmt5xfcYH7w5miOnzvHK/K1UDQ3m9hYlG41n\njOG1+VupW7k8f+xY/4piKFR4Lau6yMJnYd4TcDABYuMvnqw2/hcWPAMtBsB17hnK7W2urRnOAzc2\nYMKSHcQ1j3LPhd4V6uC39cK9trwi5AxrcmL5+nwHjlCJt4f1vJi4QiLcs8p3SebeubH15jNTAUrr\nZHoW7/3wGx+t3ENQgB+PdmnIkE71CQl0/dIcRY2KPJd9jvc2TmHqlo+pm5XFyBNnuL79U9DhMQi8\nssTibLdkRPlAhnSqz5BO9Yko7+JWgUOJhgjXaG9V4N/8BexdBQHB1rIfze+2CvEGBLskFjunbeTk\nGJ6ZtZGFmw8xbVhbOjUsfg24pYlHGDrtJ967vzW3XRvp0ngKtH6aleT8gyHzlLUtsIJ1lf/QMmve\nXBlxNjObW8f+QHS1Ckwf1s7WQVQ5OYb1ycf5asMBZqxNBuC/Qa8VmNwA1uQ0ZWDmy4AHpgLsXgEf\n316yfZ2cZqNTAUoovFwgz/aIZXDH+kz6fidvf5vEtFV7+L/ujbmrdW0CXNi3XtSoyJCAEJ5s8ww9\nG97OKytfZnDgVvpveoen1k8l7JaR0OxO91xdFWDV891cunJzfiXqBvzheRoePEJMZoZVgb/vFGsI\nf0jx9/qMMZzOOs2JjBOczDhZ4L+5/089l2rrtA0/P+Gtu1py7EwmD09fz2cPd+SamoW/xqzzOfx9\nwVY6Rlfh1mtquCyOIrUeYg16yjsXMOsMdHqyTCU2gPJBAbzW91qGTfuZeZsOcsd1tTwew84jp/hq\nwwHmbjzI/uPp1Ay3Po+Ftdpy5b/35lbOVExxU+utzCe3XNXDQnitbzMeuLEBY7/bzvDZm3lvxS7+\nelsTejWL9NgVWkylGKbHzeCzpM+YsH4cS89nM2LRE3RfMwXp8QbUbe/2GNyZ2KCE3YAYZsTezAtd\n3+ZkUDkrIZ1Iuiw55f6bd3taRhrZ5vLnD/QLJCI4gvDgcCKCI4gIjiCqShQ7T+wsNh5w37SNoAA/\n3r2vNfe8t4bBU9cx+9FO1Klc8P2NGWuT2ZVyhon3tPJsq2HLV5dv+2UWtB7suRi8RLfYGsQ1j+K1\n+VvpHFPNbb0beR1JO8e8TQeZs/EAvx5IIywkgLgWUfS9rhZt61cm+oWFF+a1FaXUIyedVdBaiB6m\nyS2f+lUrMPGeVjx0czT/+DaJx/6TQIva4TzfM5YbGhXfZeQK/n7+DGo6iG51u/H62td5hmV0PX+c\nFz7uRWSTPtB9FFR2bgCCNylpwegv07bx5dzLu08EITQo9EKCCg8Op1bFWlxT5ZpLElf+/5cLKFdg\nQjAYZu+YXWw87qqBB9ZK0B8NaUvb15dw01tLi90/bqJ178sjlSYKGxjggeHc3upvfa6h+z+XM+ab\nRN74Qwu3HON0Rjbf/nqIORsPsGpnCgF+fnSLrc4TXRvTNbYawQEXb50U12q7uN82R+USLyiD52al\nSm4i8jjwVyAS2AT82RjzUyH79gMeBa4DgoEtwChjzOJSRewhzWqF8/Gwdqz+7Rhjvknk3g/WclPj\nqjzXI5bmtcM9EkNkhUgmdp3IkuQljF47mr71/Xjy6E8MmNwO//aPwE1/gXIRBT42PfM8a3YdY/n2\nox6JtURO7id92zyn1gsb2WEk1cpXu5CowoPDCQsKw9/PdfdE7a6Bl6taqGvuIbpcUV1Mbh7O7a1q\nhIXwXM8mvDx3C/1a1aZdA9fMfcs6n8OKHUeZs+Egi7ce4lxWDu0aVOb1fs3p3SyK8PIFD3grSavt\n0n2fdUm83szpASUiMgD4GHgIWAc8DdwNxBhjUgrYfxxwAFgKnACGYSXGdsaYAhet8uSAkpIwxio1\n9Y9vk9h55DRxLaL4y60xRFfz3CKBaZlpjF8/ns+3f06LoKqMTN5BjARBlxHQegjGL4Dfjp5mWdJR\nlm8/ytrdqWRm51ArohwHTji3+KTLWgPGwKHNkLQQkhZy6MivLAwNZXxEGKYEPWqerLvpjhp4peFt\nNVJLNDDAyQEBvsJV75Uxho37TjBnwwG+/uV3Us9kElOjIn1b1SK+ZU1qV/Ld+YOl4c4BJU8D/zbG\nTAcQkUew2rjDgLfy72yMeTrfphdF5A6gD1arz+uJCD2ujeSW2OrM3nCA8d9t59ZxPzCgbR2ecvUc\nuUKEBYXxt45/Iy46jldWv8KAqKoMDqjJI4ueJe1/k3gr5z6+OHUNQQH+dIiuwvM9Y+kcU42G1SrQ\nYMRCt8d3QXam1V2VtAiSFnEmbT/fhVdhfpVI1tWtRZB/EDWzz3OAwpdZyeXObsD8nKnCX6bYPJzb\nl+1OOcOcDQeYs/EAe4+dpUZYMHe1rk3f62rRNCrUe8rZXaWcSm4iEgi0Bi6s6miMMSKyBOhYwucQ\nIBRIdebY3iDA34/+beoQ37Imn67ZyztLdzI7YT9DOjXg0c4NL3QZuOvqOyfHEJzdiO5hY/gq5RM+\nyFnIxzWb8ezxbN7OeJ0X63Wi3O1vElKnpdOv7Yqkn4CdSyBxAexcQnZGGqur1uHrqJosrRrEuZws\n2lZvwivRfehOBQ7OGsTAWpFFVm8JMIZBYZ6dGFxk/cSyqLhJuLnK8L03Z6WczmD+poPM2XiQjftO\nUDE4gF7NIhndrzkdoqvg701Fx69yzrbcqgL+wOF82w8DJas9ZHX2VgBmOXlsrxES6M+fboqmf9s6\nvP/DLj5YsZsZa/fyaJdGDHHxatOpZzJZscPqavxhewoppzOoEORPp0Z/4I56vVmT9i/eCNpEUrU7\neea3jYR82Bla3QfdXrImaBaiqOUwSuREstU6S1wAe1dhcrLZWvNa5jfpwMKMg6RmptEwpDwPX/sY\ncQ3iiKoYZT1uahxNsrIYffRYkdVbRh89RsxPn0CzgaWL7wqV+cQGXjGc25cMnbqOH3akIECXJtV5\nZ1Arujet4ZY5tcrDoyVFZBDwMhBf0P25q01YSCB/ua0J93esxzvf7+Sfi5OY9uOVLUt/Psfqf1++\n3Upov+w/gTEQGxnKna1r0TmmGm3qVSYowJp/l2M68cX2Lxi3fhzLqocyPPYBeiZ8ifw6G278P+j4\nRMEtw6lTrH+HlvDGcu4Cn4kLraR2eDP4BXKwfgcWtLmT+ef2s+vUPqpkHaV3w3j6NOxD08pNL+9a\ncQwR7gU0PL5duwG9mRcM5/YlaeeyGRV/LXHNo1xfMk1dxtkZyinAeSD/7NEawKGiHigiA4H3gLuN\nMcWPdQZ69+5NfHz8JV8dO3Zkzpw5l+y3ePFi4uPjL3v8448/zocffnjJtoSEBOLj40lJuTS3jhw5\nkjFjxlyyLTk5mfj4eBITEy/ZPmnSJJ599mJSqB4awvBbo2mQMJm6mcmX7Htm63JSFoy/LLajc8dw\ndvtqwJrD8vnP+4gfPplKTTtx57s/Mm3VbmpXKseYO1vQ9djX3B26gxG9mtKpYVWCAvwuvI7UY6n0\nb9KfuX3n0rpGawZP/oRO26tzsNUAWP4WTGpN8qJJxPfpc/F1OLqbJs36nmcfuueSuM6ePUt8fDwr\nV66E7AzYsQTmP8PM+2szNK49rPs3adUa82WXJxjapjdNJ69gzOLvia3anHe7v8uSu5fQ6kQrhg8d\nflliy/9+xFSKIT4knsjPIlnUYxHr7l3HqE6jiKkUc0Xvx2WvI4+ZM2cydOjQy96PAQMGeMXn6vjS\njy7ZlpN1jiNfvsq5/Vsu2V7Y58pbXoevvB8lfR0l+Tv/8tFO3N+hHj+vWua1r8Pb3o+ZM2deOPc3\nb96cRo0a8fTT+YdxFKw0oyXXAGuNMU85vhcgGZhojPlHIY+5B/gAGGCMmV+CY3jVaElnOXvPDazi\nIy1qR9A5xlp0smXt8FJVR1mavJS/r/07pzJP8UTMPdy7KwH/bfOsYqg9RluVvKfGwd6V1ppldW+4\n9Ar9bCrs+A6SFlhLyGSehoi6ZMX0YmX1usw/tYtl+5eTlZNF+6j29GnYh1vq3kKFQO+rs3c18rrR\nkqpQ+l7Zw52jJccC00RkPRenApQHpgGIyBtATWPMYMf3gxw/exL4SURyW33pxpi0Uhzf50wYeB03\nNqpKlYpXPs+pa92utI1sy8QNE3l761QWVrmGUXe9T+yP78K0OJLqtGZG+m4W1avtKOS8h17z72dQ\nxcY02bMO9v4I5jzUvB5zw1P8EhnD/ONb+GbPN5w4uoiYSjH8udWf6dWgFzUqeKj8k1JKOcnp5GaM\nmSUiVYFXsbojNwI9jDG5s4UjgTp5HvIg1iCUyY6vXB9jTR8o81xdn65iUEVeaP8CcdFxjPpxFAMT\nRvPH6++nYeNOjNo7l+zQi/Pz0v38mH1sI/NSNjDavxa94t5mX63rmH9kLQt2LWDvnk+oXq46/Rr1\nIy46rsRrlimllJ1KNaDEGDMFmFLIz4bm+75raY6hrlzLai2Zdfsspm2ZxpSNU6x6i4UMv88WYbg5\nxIcHF5K0ZRzlA8rTvV53Xmz/Iu0i27m0IohSSrmb1pb0cYH+gTzY4kESUxNZvLfoimc5JocTGSd4\n86Y36VqnK+UDtTKCp+l9GaVcQ5NbGbFi3/IS7ZeWmUZctJ5glVJXN01uZUB6djrpORkl3lercyhV\nPG1lezfXrcSpvFa5fT9TLienZPv6BWtiU0pd9bTl5gZed0W37E16nTnL7NDiVzHofV4/Ekqpq5+2\n3MqCoQsYNOgbAvyKTlwBfgEMumO6h4JSSin30eRWRjSp3ITRN44uNMHlrlmmNR2VUr5A+6DKEF2z\nTClVVmhyK2N0zTKlVFmg3ZJlmCY2pZSv0uSmlFLK52hyU0op5XM0uSmllPI5mtyUUkr5HE1uSiml\nfI4mN6WUUj5Hk5tSSimfo8lNKaWUz9HkppRSyudoclNKKeVzNLkppZTyOZrclFJK+ZxSJTcReVxE\ndotIuoisEZG2xezfRUTWi8g5EdkuIoNLF67zZs6c6alDFcubYgHvisebYgGNpyjeFAtoPEXxpljA\ns/E4ndxEZADwT2Ak0ArYBHwrIlUL2b8+MB/4H9ASmAB8ICK3li5k53jTm+tNsYB3xeNNsYDGUxRv\nigU0nqJ4Uyzg5ckNeBr4tzFmujEmEXgEOAsMK2T/R4FdxpjnjDFJxpjJwBeO51FKKaVczqnkJiKB\nQGusVhgAxhgDLAE6FvKwDo6f5/VtEfsrpZRSV8TZlltVwB84nG/7YSCykMdEFrJ/mIgEO3l8pZRS\nqlgBdgdQiBCAbdu2XfETnTx5koSEhCt+HlfwpljAu+LxplhA4ymKN8UCGk9RvCkWcE08efJCSFH7\nidWrWDKObsmzwJ3GmHl5tk8Dwo0x/Qp4zHJgvTHmmTzbhgDjjDGVCjnOIOA/JQ5MKaVUWXOvMWZG\nYT90quVmjMkSkfXALcA8ABERx/cTC3nYaqBXvm23ObYX5lvgXmAPcM6ZGJVSSvm0EKA+Vp4olFMt\nNwAR6Q9MwxoluQ5r1ONdQKwx5qiIvAHUNMYMduxfH9gMTAE+wkqE44Hexpj8A02UUkqpK+b0PTdj\nzCzHnLZXgRrARqCHMeaoY5dIoE6e/feISBwwDngS2A88oIlNKaWUuzjdclNKKaW8ndaWVEop5XN8\nNrk5W//SjXHcJCLzROSAiOSISLwdcThiGSEi60QkTUQOi8hXIhJjYzyPiMgmETnp+PpRRHraFU9e\nIjLc8X6Nten4Ix3Hz/u11Y5Y8sRUU0Q+EZEUETnreO+utymW3QX8fnJEZJINsfiJyGsissvxe9kp\nIi95Oo58MVUUkfEisscR00oRaeOhYxd7zhORV0XkoCO270Skkavj8Mnk5mz9SzergHVf8jHA7j7g\nm4BJQHugOxAILBaRcjbFsw94Hrgeq/LN98BcEWlqUzwAOC6EHsL63NjpV6z72pGOrxvtCkREIoBV\nQAbQA2gK/AU4blNIbbj4e4kEbsX6+5plQyzDgYex/sZjgeeA50TkCRtiyfUh1uC9e4FmwHfAEhGJ\n8sCxizznicjzwBNYf2PtgDNY5+cgl0ZhjPG5L2ANMCHP94I1kOU5m+PKAeLt/v3kiaeqI6Yb7Y4l\nT0zHgKE2Hr8ikAR0A5YCY22KYySQYPf7kSeeN4HldsdRRHzjge02Hftr4P18274AptsUTwiQBfTM\nt/1n4FUPx3LZOQ84CDyd5/swIB3o78pj+1zLrZT1L8uqCKwrq1S7A3F07QwEylP0HEh3mwx8bYz5\n3sYYcjV2dO38JiKfikid4h/iNn2An0VklqNLO0FE/mRjPBc4/ubvxWqt2OFH4BYRaeyIpyVwA7DQ\npngCsMokZuTbno6NrX8AEWmA1dLOe35OA9bi4vOzt5bfuhJF1b9s4vlwvJNj8v14YKUxxrZ7OSLS\nDCuZhQCngH7GWm3CjlgGAtdhdXnZbQ0wBKsVGQWMAn4QkWbGmDM2xBONtcLHP4HXsbqTJopIhjHm\nExviyasfEA58bNPx38RqfSSKyHms2z0vGmP+a0cwxpjTIrIaeFlEErHOfYOwkscOO2LKIxLrgtqZ\n+sSl4ovJTZXMFOAarCtMOyVirfMXjlUMYLqI3OzpBCcitbGSfXdjTJYnj10QY0ze6gu/isg6YC/Q\nH5hqQ0h+wDpjzMuO7zc5LkweAexObsOARcaYQzYdfwBW8hgIbMW6QJogIgdtTPz3YRXNOABkAwnA\nDKxerTLB57olgRTgPNaN+LxqAHZ9+L2KiLwD9Aa6GGN+tzMWY0y2MWaXMWaDMeZFrEEcT9kQSmug\nGpAgIlkikgV0Bp4SkUxHS9c2xpiTwHbA5aPKSuh3IH8l821AXRtiuUBE6mINjnrfxjDeAt40xnxu\njNlijPkPVtGKEXYFZIzZbYzpijW4o44xpgMQBOyyKyaHQ1hjINx+fva55Oa46s6tfwlcUv/yR7vi\n8haOxHYH0NUYk2x3PAXwA+xYCmkJ0Bzrqrul4+tn4FOgpeO+rW1EpCJWYrPrYmQVl3frN8FqTdpp\nGFaXll33t8C6T3w+37YcvOD8aoxJN8YcFpFKWKNc59gcz26sJJb3/ByGNYLbpednX+2WHAtMcxR5\nzq1/WR6rJqZHiUgFrJNS7pV/tOOGc6oxZp+HY5kC3APEA2dEJPfq6aQxxuMFqkVkNLAISAZCsQYF\ndMYqrO1RjvtYl9x7FJEzwDFjzJWvveQkEfkH1ii8vUAt4BWsEXAzPR2LwzhglYiMwBpu3x74E/Cg\nTfHkXrQOAaYZY3LsigPrfXpJRPYDW7CmtjwNfGBXQCJyG9Y5JwlojNW63IoHzoElOOeNx/p97cQq\njv8a1mj2uS4NxI6hqh4agvqY4xeXjjVgoY1NcXTGuoo7n+/rIxtiKSiO88AfbfrdfIDVTZKOdTW3\nGOhm92cnT3zfY99UgJmOP/h0rOQ/A2hg8++jN/AL1rJXW4BhNsdzq+Pz28jmOCpgXVDvxpqztQPr\nYiTAxpjuBnY6Pj8HgAlAqIeOXew5D2uA1EHHZ+lbd7yHWltSKaWUz7G9T1gppZRyNU1uSimlfI4m\nN6WUUj5Hk5tSSimfo8lNKaWUz9HkppRSyudoclNKKeVzNLkppZTyOZrclFJK+RxNbkrZREQ6i8h5\nR+FYpZQLaXJTykNEZKmIjM2zaRUQZayViJVSLuSrqwIo5fWMMdnAEbvjUMoXactNKQ8QkalcXPw0\nx9EdOdjx/zDHPoNF5LiIxIlIooicEZFZIlLO8bPdIpIqIhPyLp4qIkEi8raI7BeR0yKyWkQ62/Va\nlfIG2nJTyjOeAmKAzcDLWGtdNQPyL8tRHvgz0B8IA75yfB0HegHRwGxgJfC54zGTgVjHY34H+gGL\nRKS5MeY3970kpbyXJjelPMAYkyYimcBZY8xRABHJv3ozWH+Tjxhj9jj2+QK4D6hujEkHEkVkKdAV\n+FxE6mIt2FnHGHPI8RxjRaQXMBR4yY0vSymvpclNKe9yNjexORwG9jgSW95t1R3/bwb4A9vzMumy\nMAAAAPlJREFUdlUCQUCKOwNVyptpclPKu2Tl+94Usi33fnlFIBu4Hmv147xOuzw6pa4SmtyU8pxM\nrFaWK21wPGcNY8wqFz+3UlctTW5Kec4eoL2I1MNqVflhDSwpNWPMDhGZAUwXkb9iJbvqQDdgkzFm\n0ZWFrNTVSacCKOU5bwPnga1Y89vqcvloydIYAkx3PH8i1mjKNkCyC55bqauSGOOKvy2llFLKe2jL\nTSmllM/R5KaUUsrnaHJTSinlczS5KaWU8jma3JRSSvkcTW5KKaV8jiY3pZRSPkeTm1JKKZ+jyU0p\npZTP0eSmlFLK52hyU0op5XM0uSmllPI5/w9K300MJYeF4wAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10e39eeb8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(series, c=colors[0], label='observed', ms=8., marker='s', mew=0)\n", | |
"\n", | |
"detector = AverageDetector(series[0], window_size=3, weights=[0.8, 0.1, 0.1])\n", | |
"forecasted_series = detector.detect(series[1:])\n", | |
"weighted_moving_average_series = [t[0] for t in forecasted_series] + [detector.average]\n", | |
"plt.plot(range(1, 11), weighted_moving_average_series, label='forecasted: [0.1, 0.1, 0.8]', c=colors[2], marker='^', ms=8., mew=0)\n", | |
"\n", | |
"detector = AverageDetector(series[0], window_size=3, weights=[0.33, 0.33, 0.33])\n", | |
"forecasted_series = detector.detect(series[1:])\n", | |
"weighted_moving_average_series = [t[0] for t in forecasted_series] + [detector.average]\n", | |
"plt.plot(range(1, 11), weighted_moving_average_series, label='forecasted: [0.33, 0.33, 0.33]', c=colors[4], marker='o', ms=8., mew=0)\n", | |
"\n", | |
"plt.xlim([-0.5, 10.5])\n", | |
"plt.xticks(list(range(11)))\n", | |
"plt.xlabel('time', fontsize=10)\n", | |
"\n", | |
"plt.ylim([0, 1])\n", | |
"\n", | |
"plt.title('Weighted Moving Average (window size: 3)', fontweight='bold', fontsize=10)\n", | |
"plt.legend(frameon=False, loc='upper left', fontsize=8)\n", | |
"\n", | |
"ax = plt.gca()\n", | |
"ax.yaxis.grid(True)\n", | |
"\n", | |
"fig = plt.gcf()\n", | |
"fig.set_size_inches((4.5, 2.5))\n", | |
"plt.tight_layout()\n", | |
"\n", | |
"fig.savefig('img/{}.png'.format('weighted_moving_average'))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Smoothing" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 180, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"The autoreload extension is already loaded. To reload it, use:\n", | |
" %reload_ext autoreload\n" | |
] | |
} | |
], | |
"source": [ | |
"%load_ext autoreload\n", | |
"%autoreload 2\n", | |
"from anompy.detector.smoothing import ExponentialSmoothing, DoubleExponentialSmoothing, TripleExponentialSmoothing" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 254, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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Hjri5udGpUycOHz5comx8fDzDhg2jUaNGVhlzhUJRMre9cTuXeI75B+aTV5BX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\nAfLZrqYkhvLNAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10f5d9128>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(series, c=colors[0], label='observed', ms=8., marker='s', mew=0)\n", | |
"\n", | |
"detector = ExponentialSmoothing(series[0], alpha=0.9)\n", | |
"forecasted_series = detector.detect(series[1:])\n", | |
"smoothing_series = [t[0] for t in forecasted_series] + [detector.forecasted]\n", | |
"plt.plot(range(1, 11), smoothing_series, label='forecasted: alpha = 0.9', c=colors[2], marker='^', ms=8., mew=0)\n", | |
"\n", | |
"detector = ExponentialSmoothing(series[0], alpha=0.1)\n", | |
"forecasted_series = detector.detect(series[1:])\n", | |
"smoothing_series = [t[0] for t in forecasted_series] + [detector.forecasted]\n", | |
"plt.plot(range(1, 11), smoothing_series, label='forecasted: alpha = 0.1', c=colors[4], marker='o', ms=8., mew=0)\n", | |
"\n", | |
"plt.xlim([-0.5, 10.5])\n", | |
"plt.xticks(list(range(11)))\n", | |
"plt.xlabel('time', fontsize=10)\n", | |
"\n", | |
"plt.ylim([0, 1])\n", | |
"\n", | |
"plt.title('Exponential Smoothing', fontweight='bold', fontsize=10)\n", | |
"plt.legend(frameon=False, loc='upper left', fontsize=9)\n", | |
"\n", | |
"ax = plt.gca()\n", | |
"ax.yaxis.grid(True)\n", | |
"\n", | |
"fig = plt.gcf()\n", | |
"fig.set_size_inches((4.5, 2.5))\n", | |
"plt.tight_layout()\n", | |
"\n", | |
"fig.savefig('img/{}.png'.format('smoothing'))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 255, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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NoKQa2jxIKAXbU68B2nDQr2iZnw98qRsjKCoWpTKEorirOYw2F90RbQj1KtowaSeZaWaf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\naxT+lqV5MK4AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10f9f9128>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(series, c=colors[0], label='observed', ms=8., marker='s', mew=0)\n", | |
"\n", | |
"detector = DoubleExponentialSmoothing(series[0], alpha=0.5, beta=0.9)\n", | |
"forecasted_series = detector.detect(series[1:])\n", | |
"double_smoothing_series = [t[0] for t in forecasted_series] + [detector.forecasted]\n", | |
"plt.plot(range(1, 11), double_smoothing_series, label='forecasted: beta = 0.9', c=colors[2], marker='^', ms=8., mew=0)\n", | |
"\n", | |
"detector = DoubleExponentialSmoothing(series[0], alpha=0.5, beta=0.1)\n", | |
"forecasted_series = detector.detect(series[1:])\n", | |
"double_smoothing_series = [t[0] for t in forecasted_series] + [detector.forecasted]\n", | |
"plt.plot(range(1, 11), double_smoothing_series, label='forecasted: beta = 0.1', c=colors[4], marker='o', ms=8., mew=0)\n", | |
"\n", | |
"plt.xlim([-0.5, 10.5])\n", | |
"plt.xticks(list(range(11)))\n", | |
"plt.xlabel('time', fontsize=10)\n", | |
"\n", | |
"plt.ylim([0, 1])\n", | |
"\n", | |
"plt.title('Double Exponential Smoothing (alpha = 0.5)', fontweight='bold', fontsize=10)\n", | |
"plt.legend(frameon=False, loc='upper left', fontsize=9)\n", | |
"\n", | |
"ax = plt.gca()\n", | |
"ax.yaxis.grid(True)\n", | |
"\n", | |
"fig = plt.gcf()\n", | |
"fig.set_size_inches((4.5, 2.5))\n", | |
"plt.tight_layout()\n", | |
"\n", | |
"fig.savefig('img/{}.png'.format('double_smoothing'))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 257, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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bfwwGg+FMxswsxBA6J1flobL1x2AwGM5UjLJwBnP69Oloi2AwGAyGOMAoCxEk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\n3itNSllhMQwvt8Fp1V9F/uyDA3b57093O6bdW3oqLNYb13U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2qeR8j/eWasVG1Qd4/K8w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\nJkyzimKCXAAAAABJRU5ErkJggg==\n", 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] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"detector = TripleExponentialSmoothing(series, season_length=3, alpha=0.3, beta=0.1, gamma=0.9)\n", | |
"\n", | |
"forecasted_series = detector.detect([0] * 18)\n", | |
"triple_smoothing_series = [t[0] for t in forecasted_series] + [detector.forecasted]\n", | |
"\n", | |
"plt.plot(series, c=colors[0], label='observed', ms=8., marker='s', mew=0)\n", | |
"plt.plot(range(10, 29), triple_smoothing_series, label='forecasted', c=colors[2], marker='^', ms=10., mew=0)\n", | |
"\n", | |
"plt.xlim([-0.5, 28.5])\n", | |
"plt.xlabel('time', fontsize=10)\n", | |
"\n", | |
"plt.title('Triple Exponential Smoothing\\n(season length = 3, alpha = 0.3, beta = 0.1, gamma = 0.9)', fontweight='bold', fontsize=10)\n", | |
"plt.legend(frameon=False, loc='upper left', fontsize=10)\n", | |
"\n", | |
"ax = plt.gca()\n", | |
"ax.yaxis.grid(True)\n", | |
"\n", | |
"fig = plt.gcf()\n", | |
"fig.set_size_inches((5.5, 3))\n", | |
"plt.tight_layout()\n", | |
"\n", | |
"fig.savefig('img/triple_smoothing.png')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"anaconda-cloud": {}, | |
"kernelspec": { | |
"display_name": "Python [conda root]", | |
"language": "python", | |
"name": "conda-root-py" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.5.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 1 | |
} |
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