{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd\n", "\n", "def get_LINEAR_lightcurve(lcid):\n", " from astroML.datasets import fetch_LINEAR_sample\n", " LINEAR_sample = fetch_LINEAR_sample()\n", " data = pd.DataFrame(LINEAR_sample[lcid],\n", " columns=['t', 'mag', 'magerr'])\n", " data.to_csv('LINEAR_{0}.csv'.format(lcid), index=False)\n", " \n", "# Uncomment to download the data\n", "# get_LINEAR_lightcurve(lcid=14752041)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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tmagmagerr
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" ], "text/plain": [ " t mag magerr\n", "0 52653.465077 14.794 0.015\n", "1 52653.479789 14.843 0.015\n", "2 52653.495440 14.814 0.015\n", "3 52653.511324 14.707 0.013\n", "4 52653.526089 14.635 0.012" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_csv('LINEAR_14752041.csv')\n", "data.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "plt.style.use('seaborn-whitegrid')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BS3Y42m1MLf1/1ay8Abv21m/YsCEmTpxoNwZwlRq6mjCYVYgLFy6ILnf0pG8r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\niMhjsZklIiIiIo/FZpaIiIiIPNb/Aa+lpM10Mkl9AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.errorbar(data.t, data.mag, data.magerr,\n", " fmt='.k', ecolor='gray', capsize=0)\n", "ax.set(xlabel='time (MJD)',\n", " ylabel='magnitude',\n", " title='LINEAR object 11375941')\n", "ax.invert_yaxis()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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n+/95++238e233wIw/LuY2689/7eEELh48SJatmxZ4ZrtsmXU0az5LuWyx+cp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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from astropy.timeseries import LombScargle\n", "ls_window = LombScargle(data.t, 1, fit_mean=False, center_data=False)\n", "freq, power = ls_window.autopower(minimum_frequency=0.001,\n", " maximum_frequency=10)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.semilogx(1. / freq, power, '-k');" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8GBqNBvv371ftGJZ4exvMKVOm4NKlS/i///s/lx+rppP/TVj6+2CCSVQ9MMG8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\n/vnnH9SqVQtNmzZFXl4egKof406dOkGn0+Hy5cu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vvvvOI9vXg9zcXPTs2VNyW0ypB7keaiv379+PunXr4pdffpG9DtvPIQiC1942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\nXQBF3ZMcPHgQ69evx9NPP61BpPriqNxM4uPjceD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ls = LombScargle(data.t, data.mag, data.magerr)\n", "freq, power = ls.autopower(minimum_frequency=0.001,\n", " maximum_frequency=10)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.semilogx(1. / freq, power, '-k');\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(24 / freq, power, '-k')\n", "ax.set_xlim(4, 20);" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ls = LombScargle(data.t, data.mag, data.magerr, nterms=1)\n", "freq, power = ls.autopower(minimum_frequency=24 / 20,\n", " maximum_frequency=24 / 4)\n", "\n", "ls6 = LombScargle(data.t, data.mag, data.magerr, nterms=6)\n", "freq6, power6 = ls6.autopower(minimum_frequency=24 / 20,\n", " maximum_frequency=24 / 4)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RV6ZObSm5XA47OzuNAYuNjQ3kcjn69u0LX19f3hC3IUOGaLypUmJZFkVFRfD3\n98fAgQNRWlrKBVbZ2dlctrcvv/wSGRkZePDgAW9IS0VFBZKSkribvL59+2LQoEEYNGgQ3N3dOz1y\nZ1mWC1hUXbhwQetrjh8/DkdHR8Fen4EDB3aLnh3l+6c17yN9InQepFIp994ViURITExEZGSk1l6L\noqIiyOVyjT0QY8aMgaWlJTIzMzW2paamBnK5HFKpVG3uiCqGYRAaGoqUlBRujlldXR0yMzORlpaG\ntLQ0FBcXa3y9hYUF3N3d4eHhgUWLFmHo0KE4evSoWrnMzEzus3z79m1ERUUJ1hcYGIjAwECUlpai\nuLgYp06d0lqXtnJmZma4du2a1vPdEYqKirg5kq39TPT2zxIhhJDuq10CHZZl8a9//Quvv/46N6yr\nOXv37kV9fT33a+Inn3yCSZMm4a+//kJ4eLjga1JSUtrUzsGDB6OhoUEtu9H58+cxYMAAAIC7uztE\nIhF3wyeXy5u98WAYBvn5+SgvL+e23bhxg7fiup+fH1555RUkJyejoaEB+fn5yMjIQHp6OhcMKSlT\n2F66dAlmZmYICAiAr68vzMzMYGdn16ZzoCtNv75ro+wNEur1OXPmDPr16wdzc3Pec8o0t5aWlmrP\ndaSm87V6K+V5yMrK4r1fhSasC7l27RqXhVCIpaUlkpKSBLMYKik/O9qGjQ4dOhT9+vVDdXU1fvvt\nN6SmpiI1NRUPHjzQeKNtYmLCGyLap08fBAYGws7ODubm5hrnDD148IDrgdX02R8yZAhvuFdBQUGz\ndQGah+YVFBRoTU7SdN/azjnQOMQhIyOj2e8u1e8t+kwQQgjRN+0S6OTl5SExMRH37t3Dxx9/DKDx\nBnbz5s2IjIwUnFRvYmICExMT7rGpqSn69++v8YYBAMRicauyssnlciQnJ8PX1xeenp7YtWsX7wYg\nOTkZkydPFuxxkEqluHLlitb0raGhoZBIJLzXNF3nIzk5Ga+99homT56M0tJSGBsbIzs7G1FRUaiv\nr0d2djbS0tKQnp7OW8OnpqYGly9fxuXLlwE0jvkfPHgwBg8eDHd3dxgZGXFtGDRoEBITExEdHa3W\nTh8fH26onLLdmobctJZyfo/QDfKdO3dw9+5d3rlKTEzEuXPnuHY0PY8dQfW90JvHuKqeh6qqKrX3\na3M30kBjWubmejsHDBiA+vp6eHp6wszMjLcf1b+5trVx6uvrIZfL8dNPP+HIkSMaMzoaGBggMDAQ\nY8aMQWXSn/UAAAAgAElEQVRlJVxdXdX+xsOGDeOSj3h6eqrNc2EYBhMmTOB9F5iZmXE9LQzDYOrU\nqRg7dizvdbrWJVRfaGgo7Ozsmg10GIbB888/D1dXV629bcrhogC4H2z++usvtUBm9uzZkEgkbf5M\nyGSyNv8IRQghhHSEdgl0nJ2d1YauLFq0CIsWLcKcOXPUyrMsi+nTp2P58uXcOjsymQwPHjyAp6en\nxv0YGhq26ebU0NAQ5eXlgj0OFRUVgr0ldnZ2amPsx44dCx8fH9TX13PDfFRp24eHhwe3H1tbW5w9\nexbGxsbw9PSEp6cnGIbBs88+i9jYWJw+fRqnT5/mBX8lJSUoKSlBbGwsTExMMGHCBDz++ONwcXGB\nnZ0dAgMDcfHiRbXUujNmzMC0adMQFxeH0aNHw9DQEKWlpaisrMThw4dbfU5V9xEWFqa2uGPTcxAZ\nGQmxWAwAvBs11ec6Y4hbW99LPU3T5BBSqRTFxcWoqqrS+H5tjqYeEVU//PADgP+9P1avXs2lW1Zd\n9LJpG0pLS5GSkoL79++rzXFTZWNjAy8vL7zyyiv45z//CRsbG24BTaFjcHJy4v7udnZ2mD17Nhdg\nKdvY9HsgMDAQYrGYN6yvKTs7O4SHh6vNTRP6ThGqTyqVav3RQVmfsudZtY68vDxe+mjV/Sr/O2/e\nPAQFBSElJQVWVlbw9vZWO47WfiZ60+eIEEJIz9IugY6RkRHc3d3Vtjk4OMDZ2RlA41j6iooK2Nvb\nw9DQEJMnT8auXbvg6uoKe3t77Ny5E3379sWkSZPao0kaCWVBam4NCWU2JG03Oq3Zh0gkUkuDGxYW\nxgU9CxcuhEKhwPXr13Hy5En8/vvvuHHjBhQKBYDGc3ru3DmcO3cOb7zxBiQSCWbPng0vLy9kZGRw\na/eEhYVBJBJBLpfD0dERIpEIhoaGOt9gNT0OTdmunJ2deb1GQpRZs1iWFby5ViaGIK0jlO0uPj4e\nx48fB9D49/Pz8+PSjl+5cgXTpk1Tq4dhGEybNg1nz55tlx4/1WxoylTSqkQiETIzM3Hv3j2kpKSg\npKREsB5DQ0O4u7tj8ODB8PLygqOjI8aNG4cZM2bw6hJKABAeHq723pJIJKipqYGLiwucnJw0vvdE\nIlGz78uWfE80rU/Td4G2+pR1eHh4YPjw4c3u19XVFa6urlqPgRBCCNEn7ZaMoDmJiYl47rnncPbs\nWfTv3x9vvfUWjIyMsHbtWlRWVmLMmDH45ptvOvzXQU03FM3dxOhyo9OafTR3c2RgYACJRAKJRIJN\nmzbhwYMHiIiIwOXLl3H27FneMJ7ExERu+IyTkxMmTZqEOXPmYPDgwTq3VanpjZaxsTHKy8vV1upR\npcu6P6oBX0sDTqKdULY7Ly8vtQU4VdOOsywrONmeZVn4+vrCw8ND49+1pcFQ00C2uLgYJ0+exPHj\nx3H69GlUVFQIvm7AgAEIDQ3F5MmTkZycDGNjY14bxowZo/Ya5edKqPeoKXNzc3h4eLTLd09Lviea\n0vRdoEt9bdkvIYQQoq/aFOhoG59/7tw53uOgoCBeeVNTU2zYsAEbNmxoSxNapaU9NB29j5bcpLi7\nu2PlypVYuXIlFAoFrl27hhMnTuDEiRPcAqVAYzalQ4cO4dChQzA2NsbkyZMRGhqKgQMHqqUmVG2r\nsbGx2pA85X91WfywKdVgRjXgk0qlGDNmDLf2irZgkNbkaZ5UKhXMdvfEE0+0ukemtLRU62dcmTbc\n19dXbQiVJgUFBfjtt99w/PhxxMTEcL2TqgwMDDBmzBjMmTMHs2fPho+PD7eWzeDBg3X+kUIkEgn2\nHnVnFLAQQggh7afTenS6m864oejofRgYGGD06NEYPXo0tmzZgvz8fERGRiIiIgJRUVGoqqoC0DiZ\n+8yZMzhz5gyAxgxWytXjx40bByMjI53aquvih0qPPfYYnJycYGdnxwueLl68iLNnzwJoDHACAgLg\n4eGBAQMGIDc3F1lZWRgwYABcXV1pTR4dlZSUaJxn05qEEwzDwNjYGFeuXBF8PjQ0FF5eXgA0D6FK\nTU3Ff//7X2RmZiIlJQU5OTl47733BOuzs7PDrFmzEBYWhpkzZ2rs2euMHykIIYQQoh96baCjj1xc\nXLB06VIsXboUNTU1+PvvvxEREYHjx4/jwYMHXLk7d+7gzp072L59O+zs7BASEoKwsDCEhIRoHTom\nNCRv7NixYBhGLWMUwzDcujvKAMXDw4MX5ACNN+Px8fG83iilYcOG4c6dO2q9FMpFKkkjqVTKW3BS\niWEYuLm5qf3N/Pz8eMPXhF4XFhaGuro6jQFSZGQkTp48qRZ4ikQiVFZW4uDBgzh+/Dgv4G5q6NCh\nCA8PR1hYGMaOHQsjI92+jqjXgxBCCCG6oEBHT5mZmWHmzJmYOXMmdu3ahVu3buHYsWM4cOAAbt68\nyQ0ZKisrw/79+7F//34YGBhg7NixCA0NxezZs+Hn58cNGVJqOsxN07wd1RtkZYDi7OzMC3KaI7Su\nCiUs4FPt8VKlOqyraS+IlZUVGIbhFqhVNXPmTAwbNkynRBWqi8Heu3cPkZGROHHihMY1mIyNjTFp\n0iSuN3HQoEFtPwGEEEIIIRpQoNMLMAyD4cOHY+jQoZg5cyb69++PM2fOICIigjcJXKFQ4NKlS7h0\n6RLefvttuLq6YtasWZg1axaCg4N5c3bu37/PZfLSBcuyOqUj1uVYKGFBo6bzcoDG8/PEE0+oTb5X\n7QWJj48XDHIYhuGCHOVrhBJVAEBVVRXS0tJw//597Ny5E6WlpYJtdHJywuzZsxEWFobp06dTgEoI\nIYSQTkOBTi/k6OiIZ599Fs8++yzq6+tx6dIlLqGB6mKfubm5+O677/Ddd9/ByMgI48ePR0hICCZM\nmNCinhmg8SZ6wIABbVqgVNcMefpMNTGDpnk5lpaWAICMjAy1BA7aFuYUOrfK3qCioiLcunULn332\nGVJTU5Gbm6uxjQEBAVxwExgYCAMDg9YeLiGEEEJIq1Gg08spM7JNnjwZ27dvR3p6OjcE6fz586ip\nqQEANDQ04O+//8bff/8NALC0tMSgQYMwaNAgeHp6wtraWut+goOD4erqqjY/xMXFBQ8fPmw2+GEY\nBkuXLu3V64BcunSJSwXNMAwmTJggWC49PR379u0TTOAgFBwp61MmF1DKysrC6dOn8eeff+Ls2bMo\nKysT3J+1tTWmT5+O2bNnIyQkBP369WvLYRJCCCGEtAsKdAiPp6cnl766uroa58+fR2RkJE6dOoXU\n1FSuXFVVFW7cuIEbN24AAJydnTFz5kxIJBIUFhbC1NSUV69yxXpleaWHDx9iwYIFMDExgb29PR49\neoSkpCRcu3aNV45lWZSXl6Ourg4ODg4AwEs5ra8pqJXHlZGRgejoaG47y7K4ePGi4GuallNN4KA8\nd02xLIv09HSkp6cjKioKUVFRuH//vsZ2eXt7IyQkBHPnzsW4ceNgYmLSyiMkhBBCCOkYFOgQjczN\nzbk5OgCQmpqKU6dO4fTp0zh79iyqq6u5sgUFBdi3bx/27dsHAwMDuLq6YuDAgfDw8ED//v3Bsiyu\nXbsmONRq//79CA8Ph4eHB0QiEaytrREfH68290Qo6YEyi9iNGzf0LgV1fHy81nlQug4BVE3gIBKJ\nMHHiRERHR6OmpgZZWVnIzMxERkYGtmzZorFOW1tbBAcHY9asWZgxYwb69+/fqmMihBBCCOksFOgQ\nnXl5eXG9PXV1dThz5gwiIyMRGxuLxMRE7iZZoVAgOzsb2dnZuHDhAgwNDXHu3Dkuy5abmxvMzMx4\ndav2OgilsdaW+Ut1KJy+pKDWNpdGVXBwMM6ePcudp2nTpnGPlZQJHIqKinDp0iUcP34ckZGRWocM\nGhkZYcyYMZgxYwZmzJiBwMBAGBoattvxEUIIIYR0NAp0SKuYmJhg9uzZmD17NgCgtLQU586dw7lz\n5xAZGclbt0culyM2NhaxsbEAGm+8+/TpAzc3N+6fnZ0dL220akrkyspKHD58WOe29eQU1MqhajKZ\nrNkem+DgYIwfPx6+vr68BTTNzc1x7NgxFBUVIScnBwzDICgoCHfv3tVan4+PD4KCgjBr1iyEhITA\nysqqPQ+NEEIIIaRTUaBD2oW9vT3mz5+P+fPnA2hclPT06dNITEzEpUuXkJaWxpVlWRYFBQUoKCjg\n5uJYWFjg3LlzmDhxIsaPH4+RI0fC2dlZp/VcmuqpKag1rYnTFMMwCA4Oxrhx4wA0JgMoLy/H2bNn\ncfXqVe6fMm24Js7OznB3d4eHhwdCQ0ORmZkJoHH9Ik9PT70Y/kcIIYSQ3osCHdIhhg4diqFDhwJo\nTHP85ZdfIisrCw8ePEBWVhYKCwt5N/QymQzR0dG8ifSurq6QSCQYMWIErK2tkZOTAzs7u2bTFQcH\nB6OkpAQAekyvTm5uLiIiIrSWCQ4ORp8+fVBSUoL09HQcPXoUSUlJSEhIQHFxsdbXGhkZITAwEBMm\nTMD48eMxduxY3L9/Hy4uLjAzM8PevXu5svoy/I8QQgghvRsFOqTDOTg4wMbGBsOHD8fw4cMBADU1\nNcjNzUV2djZyc3ORk5PDS24ANN785+bm8ibkm5qawtvbG15eXigvL4ejoyMcHR1hZ2cHExMTjBs3\nDmfOnAGAbpuYoGmGOKGkA7W1tSgtLUVxcTFKSkpQVFSEAwcOIDU1FfX19c3uo2/fvggKCsK4ceMw\nduxYBAYGwtzcnHteLpcjJycHHh4eyMrKEkwS0VOH/xFCCCGEABTokE4gEokwdepU3iKjZmZm3Do8\nQOONdVlZGXJzc5Gfnw+FQoHbt29DKpXy6qqtreWltVbl6OiI77//HnZ2drCxsYGtrS3S09Px2muv\nQSwWN7vWT2dISEhAREQEqqurUVVVBU9PT5w/fx7l5eUoLy9HWVkZysrKUFlZqXOdjo6OGDlyJAIC\nAhAYGIjRo0fD1dUVDMPo9HoHBwe1oYE9dfgfIYQQQogSBTqkUzS30Kfyxtre3h5+fn5YtWoVWJbF\ne++9h/z8fDx8+BCFhYUoKipCaWkpFAqFWh3FxcUoLi7mJUIAgB9//BFA41wWZ2dnWFhYYODAgVxP\nkL29PWxsbGBtbQ1ra2tYWVnB3NwcZmZmMDU1hZGREQwNDWFoaAgDAwMoFAooFArI5XLU1tZy/2Qy\nGSorK1FVVYWKigoueCktLUVRUREePnyItLQ0PHr0CA0NDS0+h8bGxvD29oaPjw/8/f3h5+cHf3//\nFgU1QoSy3IWFhVFvDiGEEEJ6NAp0SKcQ6jUQonqTnZGRAVtbW9ja2nLzfQBgwYIFqK2txb1793D3\n7l3cvHkTly9fRmlpKWQymca6Hz16hEePHgGAYI9Qd2FlZQV3d3cYGxvDwcEBTk5OmD9/PubMmQNj\nY+MO2adqljtl9jZCCCGEkJ6MAh3SKZr2GmiydOlSuLq6ory8XGMwYmVlBW9vb/j5+QFoTHawb98+\nAI1zf5Q9KRUVFZBKpZBKpVyQU1tb26JhYe3N3NwcVlZWsLKygrW1NUQiEcaMGYP8/HyIRCLY29tj\n3rx5CAgIgFQq7dTAQ7mGESGEEEKIPqBAh3Qa1V6DqqoqHDp0SK1MbW0tDh8+jJs3b2qsp+lkfNXe\nIjMzM/Tt2xd9+/bV+PqGhgbIZDJUV1dz/+rq6jBu3Dg0NDSgsrISNTU13L+GhgbI5XLI5XIoFAoY\nGhqivLwcubm5MDQ0hJGREQYPHgxPT09YWVnB0tIS1tbWsLOzg52dHWxtbeHk5AQHBwfcuHFDbYiY\npqCGAg9CCCGEkNajQId0KuXNu9DaOAzDID09XWuQIzRJXmiOybRp03D27FnB3iMjIyPBIGL+/Pnw\n8PBQK980S5pUKsWOHTvU2r5q1Sq1OnNzc5GVlQU7OzvIZDLY2dlh6dKlqK+vp6CGEEIIIaQDUaBD\nuoRQcBIcHMylhhaibZK80BwTc3NznRbgVMrLy1MLdFRTPyv3b2dnJ5iOOTs7Gz4+PgAag6MjR44g\nIyND43EIBVWEEEIIIaR9UKBDukzT4ES5yKcmTzzxBBdICGnaKxIQEAATExMcPnxYp/ZERUVh+PDh\nXK9NVlYWTpw4wT2vXEhz6dKlgokVDh06hNraWgDQuvgnLchJCCGd48cff8T777+PiIgIDBs2rKub\nQwjpZBTokC7VNDjRlJmNYRi4ubmpDSNrzoABAwTrnDhxIqKjo3nblItk3r9/X20BT9Uy9fX18PX1\nFUyWoC3AEdoXBTqEENJxnn/+eQDAkiVLEBsb27WNIYR0OoOubgAhSiKRCLNnz1ZbE0Y5rC01NRU7\nduzAvn37sGPHDiQkJOhUZ1hYGFcnwzDw8/ODRCIR3I+xsTGvF0eIsbExkpOTW3h0fLQgJyGEdB5l\nbzshpHehHh3SrUgkEsjlclRVVaGgoAD37t0Dy7Jqc3daMvxLdYicjY0N0tPTNS6SWVdXp3VOD8Mw\nKCsr03nej6Y6aEFOQtpPbW0ttmzZgj///BNmZmZYsmQJlixZIlj21Vdfxblz53jbvv76a0yZMqUz\nmtouKisrYWNj09XNIISQbo8CHdKtGBgYYPTo0VxmM22aDv9SKBS4ffs2AGDYsGEwMPhfh6VyiJxc\nLue2CSUwEMoG13SfDMPotPip0rBhwzBu3DhYW1vTgpyEdIBt27bh5s2b+PHHH5GXl4f169ejX79+\nCAkJUSublpaG7du3Y+zYsdy2nhQ0XL58GYGBgdiwYQO2bt3a1c0hhJBujQId0i2VlJQ0G0gIDf+S\nyWSorKxE//79YWtr2+x+ms4Ram5hU+VcoebKCKWQVtZPCGk/MpkMv//+O7799lv4+PjAx8cH9+/f\nxy+//KIW6NTV1SEnJwe+vr5wcnLqoha3zSeffAIA+OijjyjQIYSQZlCgQ7ol1UVANfHz8+MFDomJ\niTh58iQAIDo6GuHh4QgICGjxvgMCAuDs7IzvvvtO7bng4GCIRCJeb1BeXh6ioqJ4Q+BcXV1bvF9C\nSMvdvXsXDQ0NkEgk3LaRI0fi66+/hkKh4PXspqencz9WEEII0X8U6JBuqbmeFQC4fv06pk6dyg05\na5opLSIiotUpnF1dXREeHs7bf3BwMMaNG8dro0gkgoeHB4YPH07D0gjpAkVFRbCzs4OJiQm3zdHR\nEbW1tSgvL+f1+qanp8PKygrr1q1DXFwc+vbti9deew2TJk3Sug+5XM4b9tpVmrahO7SpLZTt74zj\nYFm2Q/fTmcfS0ehYuid9Ohag7cej6+so0CHdlrLXJCYmRmNa0CtXrmD69OnIysoSfF51Ec/W7l+X\nAKbpEDhCSOeorq7mBTkAuMd1dXW87enp6aipqcGECRPw8ssv48yZM3j11Vdx4MAB+Pr6atxHSkpK\n+ze8lVSzRSYlJXVhS9pPW7NY6qK6urpTzldnHEtnoWPpnvTpWICOPx4KdEi3d+XKFY3PxcTEICgo\nSC1VdHuhAIaQ7s3U1FQtoFE+NjMz421fvnw5Fi1axCUfGDJkCG7duoWDBw9qDXTEYjEsLCzaueUt\n1/QXzBEjRnRRS9qHXC5HcnIyfH19YWho2KH7srCw6NDz1ZnH0tHoWLonfToWoO3HI5PJdPoRigId\n0q01l5RAmXlNaMy9PozFb+kCqYT0Ns7OzigrK0NDQwOMjBovaUVFRTAzM1P7zBgYGKhlWPP09ERq\naqrWfRgaGnbLG4vu2KbW6Kzz21n7oL9L90PH0n219nh0fQ0FOqRbay4pAcMwqKyshL29PW9OjT6s\nVRMfH8/NO1IeT2uSKxCiz4YOHQojIyMkJSUhMDAQQONnx9fXl5eIAAA2bNgAhmF42cru3r0LsVjc\nqW1ui47qvSaEEH1EgQ7p1pRJCSIiIgSfZ1kWhw8f5gKBVatW6UVSAKlUihMnTnCPW7JAKiG9ibm5\nOebOnYv33nsPH374IQoLC/H9999zwUxRURGsra1hZmaGqVOnYs2aNQgKCoJEIkFERATi4+Px/vvv\nd/FREEII6QgGzRchpGt5eXk1+yumMhAAAA8Pjx4fDAgN2VMO0yOE8G3cuBE+Pj5YvHgxtmzZgtde\new0zZswAAEyYMAGRkZEAgBkzZmDz5s34f//v/yEsLAznzp3Dd999h/79+3dl80kn0HWBZ0KIfml1\noFNXV4ewsDDeRPF///vf8Pb25v37+eefNdZx/PhxBAcHw9/fHytWrKCbOCJIl8VDgZ4XCEilUmRk\nZEAqlao91zSLlJKxsXFHN4uQHsfc3Bwff/wxEhMTER0djeeff5577t69e5g3bx73+J///CdOnz6N\n5ORk/PHHHxg1alQXtLj1aOgaIaQzZWZmYuPGjcjPz+/qprRKq4au1dbWYu3atbh//z5ve1paGtau\nXYt//OMf3DYrKyvBOm7cuIG3334bW7ZswZAhQ/DBBx9g48aN2LNnT2uaRPSYLouHAo03AKprZnRn\nCQkJavOJVOffNM0ipVRfX99ZTSSEEEJIL/fYY48hOzsbFy5cwKVLl7q6OS3W4h6d1NRUPPnkk4Lr\nlqSlpWHYsGFwcnLi/pmbmwvW8/PPP2PWrFmYO3cuhgwZgm3btuHvv/9GdnZ2y4+C6DWRSITZs2fr\nNHytuexJ3YFycVNl4KYcdqfas6MM7lT1pECOEEK6E+oJI6R1lPflly9f7uKWtE6LA524uDgEBQXh\nwIEDvO2VlZUoKCiAh4eHTvVcv36dy5ADAC4uLujXrx+uX7/e0iaRXmDkyJFYtWoVFi9ejGnTpmm8\naDUNGLojXebfNA3u9CGLHCGk7Tr7hv3w4cMIDQ1FUVFRp+6XEELaQ4uHri1cuFBwe1paGhiGwddf\nf40LFy7A1tYWL7zwAm8Ym6rCwkL06dOHt83BwQEPHz7UuG+5XK62YJoulK9pzWv1SU8/D5aWlrC0\ntISrqytMTEyQm5uLGzdu8MqwLIuioiJYWloK1tEdzoGtra3aUDyGYWBjY8Nrl5+fH+RyOaqqquDn\n5wdbW9t2a3d3OA/dAZ2Htp+D3nzueoP58+cDANavX4/vv/++i1tD9I1cLoeBgQH1uJEO027ppdPT\n08EwDDw9PfHss8/i6tWreOedd2BlZYXp06erla+pqVGbcG1iYqJxbgIAnVZA1SY5OblNr9cX+nAe\nDA0N4eTkpLadYRjk5+cjPz8fVVVVsLS0FBw+2dXnwNfXF8nJydwcHV9fX6Snp6uVMzQ0hEgkQmZm\nZoe0o6vPQ3dB54HOAdGOenRIezt27Bgef/xx9OvXD7m5uV3dHNKMnhqMtlugM3fuXEyZMgW2trYA\ngCFDhiAzMxP79+8XDHRMTU3Vgpq6ujqNc3oAQCwWw8LCosVtk8vlSE5Ohq+vr16tJttS+ngezMzM\nEBkZyQUMoaGhAKC2TSKRAOCfA4ZhkJiYiMrKSvj7+3Pv3c4wYsQIjBw5EtnZ2XBzc4Orq2un7RvQ\nz/dCa9B5aPs5kMlkbf4RipCORumlu5/HH38cAJCXl9fFLSG6aLoAc0/RboEOwzBqN4qenp6IjY0V\nLO/s7Izi4mLetuLiYsFf6ZUMDQ3bdDPS1tfrC306D4GBgRCLxdwioQCwY8cO3kT/yMhIiMVi3vwW\nQ0NDJCUl4eTJkwCAixcvqmU+60jNZV3rLPr0XmgLOg+tPwe9/bzpqra2FufOncOkSZNa9YNdV+up\nv+YSQtpHT/0OaLfwbOfOnby1CwDg7t278PT0FCzv7++P+Ph47rFyuJG/v397NYn0EiKRiFskVNNE\n//j4eF6SAqlUihMnTvDKdFYiA12yrhFC9Mvrr7+O0NBQjfNcCSGkO+v1gc6UKVNw9epV7N27F1lZ\nWfj1119x5MgRLFmyBEDjsLSioiJu4urTTz+No0eP4vfff8fdu3exbt06TJ48GW5ubu3VJNILCaVl\nBoALFy7g888/R2JiIgCgtLS02cxnHUWXrGuEEP3yzTffAACOHj3axS1pnaSkpK5uQpv01Js0QrqL\nnjp0rd1a7efnh507d+Lo0aMICwvDTz/9hE8//ZSbG5GYmIgJEyZwK6tKJBK8//77+Oqrr/D000/D\nxsYGW7duba/mkF5KJBIhODhY4/MnTpxAdXU17O3tu2ydGlojhxDS09Aad4T0bj11nlub5ujcu3eP\n9zg4OFjjTWZQUJBa+Xnz5mHevHltaQIhalxcXLQ+X1VVBZFIhLCwMLV5Mp2xTo1yjZwTJ050+r4J\nIYQQQnqLdktGQEh3YWdnp/V55Ro7AQEB8PLy4hIZdGagIZFIUFlZidLSUgQGBtKQTUKITnryEKy4\nuDjs2bMHH374IZydnTt13z3112hCSNtQoEP0Tlpamsbnpk6dykthLhKJ2j3AKS8vR0xMDABg7Nix\ngmmrExMTcf78eQCN65d0VdY1QgjpLEFBQQAaFwyPiIjo4tYQQlqip/7IQoEO0StNs6k19ddff8HX\n1xcjRozokP3Hx8fj+PHj3OO4uDiEh4fzghhNGd+8vLxo+BohRO/dvXu3q5tACOklemYKBUI0EMpo\npoplWSQnJ3dIKmdNQVZERARvf5R1jRDSWj31V1VCCOkKFOgQveLg4NBsGZZlUVJSgri4OJw7dw7l\n5eXtsm9tQZbqwrmUdY0QQjoXBYiE9E4U6BC9IhKJmp3rwjAM8vPzcfLkSURHR+OLL75AQkJCm/et\naQ0fAIiJieF6dZRZ15RlKesaIYT0HsXFxbCyssK6deu6uimE6D0KdIjemTRpksbnGIaBt7c3/vrr\nL26bco5MW4ezKVNWa6I6NG3kyJFYtWoVFi9ejFWrVlEiAkKITvShZ6IrMqB1p6xry5cvR1VVFbZv\n396t2kWINj31u4eSERC9o7pGDtD44Zw2bRpcXV1hY2ODuLg4jXNktPWqSKVSlJSUwMHBQWO5gIAA\nODk54fvvv+dtFxqa1hEZ3wghhHRvt2/f7uomENJiPTUop0CH6CWJRAK5XI6qqipIJBIuxbNcLoel\npf+MawoAACAASURBVCUYhlH70BYVFWlcT0c1m5pyqJmmXhg3NzeEh4d3yWKkhBDSkTZu3Ahzc3O8\n++67ra6jp/4y3F5Urz3KawRpvR07dgAAVq1a1eH7un//Pvr3789bpoJ0bxToEL1lYWEBCwsLtQDD\n3Nwcs2bNwsmTJ3kXnMjISERGRrZLOuiuXIyUEKK/uvKmOC8vDx999BEAYN26dTAzM+uythACNK5b\nt3r1agDACy+8ABsbmw7bV3R0NB577DGIxWLcu3evw/ZD2hfN0SF6ycDAAMOHD8fw4cNhYKD+Ng8I\nCMDSpUsFX9te6aBFIhE8PDwoyCGE8GzatKmrm9AqtbW13P/31GEs3Q2dx7apqanh/r+urq5D9/Xb\nb78BAFJSUjp0P91VT+15pECH9FravhRVgxgTExPBMvfu3WvX9NSEkN5h69atSE5O7upmdJnW3Nx/\n8sknWLNmTav32dabNApIuifVv0tH34jTe6BnokCH9Fra0kHb2tpy6+xo6rmJjY0VTE+tUChw8+ZN\n3Lx5EwqFokPaTgjp2R49esR7/Pvvv+OZZ55BdXV1F7Woe3vrrbfw+eefawwQKyoqIJPJNL6+LTep\np0+fhrOzMzdPsz3RzXP76ak9DqRjUaBDei1ldramX47h4eFIS0vj1tn5448/tNYjlJ5aJpOhsLCw\nzSmrCSH6qemPIE8++SR+/fVXbmJ1S61fvx7Tp09HQ0MDb7tMJkN+fn6r26lK0035pUuX8J///Efn\nelS/c2NjY7Fx40a1dmsiFMzIZDLY2trCyspK5zYAjcHlnDlzmu2VDwkJQVFREcLDw1tUf3s4cOAA\nrly50un7JURfUDIC0qspkwZkZ2dDoVCguroaDQ0NOHXqlFpZZaY2oYxtqumpExMTcfLkSQDAxYsX\ntWZoI4T0TklJSYiPj8eKFStgZPS/S3FhYSGvXHV1tU4ZnrZt2wYAOHXqFG89L0tLSwBARkYGPDw8\nBF8rk8lgYWHR0kPgTJgwAUBjopennnqqRa9duXIlAEAsFuPFF19s1f7v378PoPF7uL6+HgqFAqam\nps2+7sknnwQAbNmyBZ9//nmr9t0aqkGdth6d+Ph4LFiwoNlyrXHy5Ek4OTkhMDCwXetVlZeXh5iY\nGMydOxeGhoYdsg8aukaaQz06pNezsrLipfjMyckR/EJ74oknsHjxYixdulTtC5VhGNja2mrM0EY9\nO4QQVa+99hpWrVqFb775RmOZq1evwsLCAm+88Ybg8y+//DJ27tzJ26Zp+Nbbb78tuP3QoUOwtLTE\n9u3bdWx5I6GbSuVNeXMePHigti0rK6tF+9fEzc0N9vb2gnMwNd2oFhcXt8u+daXrZPaOmvSempqK\n0NBQjBo1ql3q09QbJxaLMX/+fK3v8bbqzECH9EwU6BCCxpuDGzdu4OTJk4JjwBmGgZubGzw8PODq\n6orZs2dzX6oMw0AikUAkErU6QxtpvalTp8Lb25v75+Pjg5CQkBYNpWlORUUF3nzzTYwePRoTJ07E\np59+qnH+1YYNG3jtUf577rnnuDJxcXF4/PHH4e/vjyeffBJ3797VuG9vb28auqLHkpKSkJOTwz1W\nvUH/17/+BQD44osvADQuNKl68/vtt9+qrR2iaajtpUuXBLcvXrwYQGO66Kby8vI0tjs2Nlbjc82p\nr69X2yaUHTM+Ph4///xzi+ouKCiATCZTC6auX78OFxcXwe+F9rhBLi0tRWxsbIvnZWrrJdD2XHl5\neat7GPbu3duq1wlZu3YtrK2tkZaWpvZcVVUVAHAjHPRJREREl+y3sLAQK1aswK1btzp936oZ7noS\nCnRIr6ccaqYc/tCU0IKfI0eOxKpVq7Bo0SJMmjQJlpaWkEqlggkOGIaBvb19hx5Db7dp0yZcvHgR\nFy9eRFRUFJYtW4Zt27bhyJEj7VL/li1bUFhYiF9++QXbt2/Hf//7X+zbt0+w7Ntvv8215eLFizhw\n4ABMTEy4QCc7OxsvvfQSpk+fjqNHj8Lb2xvLly/v8NSopHtiGAYTJ07kHu/evVtjWT8/v2br03Qz\nUlVVhcWLF+PTTz/VqV2ffvopXF1dNT4/ZcoUnd+zaWlp+P7777WWEQo2AgMDsWjRIpw/f57b1vTm\nPiUlRbC3SigIKCgowAsvvKDTvlsqKCgIK1euxLfffisYyLWny5cvw87OjgtSW0q5FlJ7+Oyzz1BT\nU4N///vf3LaoqCjcuXOn3fahdPPmTd6PAk2p/h2lUqlawo+2Un1PzZkzp13r1tXbb7+NPXv20HD4\nFqBAh/RqTYeaNTVz5kysWrVK8EtFJBKhrKwM58+f57KvpaamqvX2NA2SSPuztraGk5MTnJyc4OLi\ngn/84x8YO3Ys/vzzz3ap/++//8YLL7yAwYMHY8yYMQgLC0NMTEyzbXFycsKuXbsQEhKC4OBgAMDP\nP/8MPz8/rFy5Eh4eHti0aRMMDAyQnp7eLm0l3cetW7eaTWZiYGCAzMzMdtvnw4cPMXjwYK43SKm4\nuBj79u3Dm2++CaDxph9QH+rGsiyOHj3KldNGdV2dplRvCr28vDSuW6bEMAwSEhIEe7+13TRLJBKt\n3+G6YBgG58+f1/kzKHTcGRkZABqzw5mYmODDDz/UqS7V8ySXyyGXy3ntErJ161YAwE8//aS17qee\negr9+vXr1OyfN2/exPTp0zFs2LB2rTcvLw++vr5wc3PjbVc9f8r/r6+vh42NDUQikc5JLnoK5WdB\n6EcGuVyODz74QGPvbW9FgQ7p1YSGmikxDINhw4ZpDFI0zccZNGgQQkJC8Nhjj+H111+nX166iJGR\nEYyNjQWfUw4nGzZsGBYuXIhhw4bB29sbu3btEixva2uLY8eOobq6GgUFBYiOjsbQoUObbUNMTAyu\nXr3KW/8jLi4OM2bM4B6bm5sjKioKQ4YM0VjPtWvXEB4eDl9fXzz77LPIzc3lnktLS8PSpUsREBCA\niRMn4ssvv+RubHbt2oVFixbx6po6dSp3871o0aL/z955h0VxrX/8u/Tm0kVBihEp0otS7GJXvIkt\nxkSNRmMsMUYTS7zRmFyviSYaY4n1xhiNUdR4laBRsARUJAgooqI0QUQ6LL3szu8PfjN3Zwu96vt5\nHp6HOXvmzJmZs3vOe96Gf/3rX/joo48wYsQIlJaW4siRIxg+fDhcXFwwefJkREdHN3ifhGKcnZ0x\nZcoULnO7IhQtZiMiIgDwF3E3b95U2ob079Dt27eRlJSETZs2Ka1vYWGBHj164Msvv5T77MSJE3j9\n9dcVnseaItXX961bt+Lx48dQUVGBvb290j4A/MALN27cgJeXl9xCtiHqCyndWK5cuYLhw4ejT58+\nDdaNjo6GlpYWPv3003r7s27dOuTn52P27Nk8jZQsRUVFOH/+PKqqqmBvbw9bW1uIxWLU1tbWK0g2\nhFgsxsmTJ5GVlYU1a9Y0u53Gwo4FRabfreHEr8xUS5Ggk5uby5W1llYnKSkJ+/bta7BeTk4Ojh49\nitjYWJ7Q2hSKiooQEBCADz74QK6N+p7l4cOH8c9//pMLDtIWKNvg68yQoEO80ijLpaNMEyOdIycv\nL0+hP05RUREGDBiA4cOHw8DAoE37T8hTU1ODS5cu4caNGwgICFBYhzUru379Ovbs2YPr168jIiIC\n8+bNU1h/w4YNuHXrFjw9PTFkyBB0796dixZVH/v378cbb7yBnj17cmUZGRnQ0tLCsmXL4O/vj9mz\nZyMpKanedoKCgvDPf/4Tp06dQnFxMb799lsAdX4BM2fORPfu3REUFIQNGzbg6NGjSs3qFPH7779j\nyZIl2LlzJ9LT07FlyxZs2LABFy5cgLe3N5YvX075oFpIfSGjf/zxR7kyVmCVNoEaOHCg0jako6xJ\noywnD+t7s2HDBrnPQkNDlV5H1lRKLBbLBSBYtWoVJ+A8fvy4XiHPysqK+5/VvrKCwl9//aX0vMai\nLMgAuxhlycjIaHSbrKbr22+/xenTp5GZmanUVG3FihX45ZdfMHz4cDAMg1mzZmHRokW8OuPGjcOk\nSZPg4OCA5ORkpKWlITc3F3369FFoZgcod/6XRnpuYhfoVVVViI2N5dUrLy8HwzD44osvFPpDSSQS\n3Lx5U+FYOnfuHO84LS1NoWDBMAwiIiIaHfRBIpG0yPxP+vlIRzSUpqqqCosWLVLoa/PgwQMUFhby\nyoYOHdqoa/v7+2PWrFnw9PRUeu2G+OKLL3DlyhXs27evSdEApX09V6xYIefbKZFIsHr1avz3v/9t\nVr8A4Ndff21UvYSEhE6TE4wEHeKVRigU8kzNAKBv3771amLYHDnq6urkj9NJ2LBhAzw8PODh4QFX\nV1esXr0ac+bMUWpHLW1aZmBgwP3PhuKVJTU1Fc7Ozjh+/Dh27dqFJ0+e4MCBA/X2KSMjA5GRkXIa\nlfLycnz77bfo378/Dhw4gJ49e+Ldd9+V2y2XZtGiRfDx8YG9vT2mTp3KTWjBwcHQ1tbGV199hT59\n+mDkyJH46KOPcPDgwXr7Js2wYcNgZ2cHJycnZGZmQiAQwNzcHL169cLy5cuxdetWEnQ6gA8//LBe\nTUBjaGrI6IacjWUXycuWLcOJEyfqPUeZkFdZWal0wV5aWsrTKi1evJj7f+/evfVej8Xe3h6mpqYK\nPzMzM5P7XipD1ixOeod96tSp6NWrF/z9/RWeK20Kl56ejqNHj8r1n32m0uaLe/fulYtCxwahmDVr\nlsL0B5mZmSgtLeWOpQUdkUiEvLw8TJo0SW5e09XVhYqKCjZu3KjwmXz77bcYOHAg9z4SExNx7Ngx\nMAyDf/zjH1y91NRU9O7dGwsXLpRr448//sDgwYNhamqK+fPn1xvkAqjzgbWyslLqAyatNVKk0ZF+\nR4o0IGKxGEOHDsXevXsxadIknlAVFxcHJycnnhAOKA7MYWtry5ksssgGZWCv//z5cznhSZaamhok\nJCTw/JBkBYvG/hZv374dvr6+vLKTJ09iy5Yt3LuMi4vDunXr8OjRI2zevBn5+fkNttsYf7bg4GA4\nOzu3KGR9a0J5dIhXHg8PD4jFYpSVlcHDw6NeLYxsjhwXFxfEx8dz4anJH6djWLZsGWcOpqmpCVNT\n03rzNnh4eACom4QkEglUVFQgEAiwcOFCfPDBB7y6aWlp+Oabb3Dt2jV0794dQN1O+RdffIEFCxYo\n3bX7888/4ejoCFtbW165qqoqRowYwS0qvvrqKwwbNgxXrlxRmpBQetLt1q0bZ9KSnJwMJycnXh88\nPDyQm5vb6JDm0g7ngwYNgp2dHQIDA9GvXz8EBARg2rRpzd6ZJLoWjcnXI01TNIdNudaoUaOULgp/\n/vlnJCcno1u3bm3if8EwDEpKSlBTUwNTU1O5hTJrVihNY8w7leUwUsTGjRvlygYOHIiIiAg5rUtg\nYCA0NDRw5swZaGtro7y8HAcOHMD777/Pq6dM6GuI3bt3A6jTuIWGhmLUqFEAIGcW3Fih/NChQ0hN\nTUVYWJjSOnFxcQDqtALsb7U0rq6uEIvFcpH6wsLCMH36dN64+Prrr/HHH38gPDwchoaGAICAgACe\ntmP8+PHYtm0bpkyZwgUlKi0txcWLFzF27Fil/UxOTsYnn3yC06dPA1AcTVAikaC4uJj7nd29ezdm\nzJihcENUQ0ND6bVYmjrmU1JS8NprrwGQ11yyz5b1J4uIiGjQ301RdMTc3FxERkZi/PjxUFVV5YUT\nz8jIgKWlJSoqKuo1J29LaPYiXnlUVFQwYMCABusp8smJj4/H0KFDIZFIGhSSiLbD2NgY1tbWja7P\nRmMTi8V4+PAhHB0doaqqCn19fbm6Dx48gKGhISfkAEC/fv1QVlaG4uJiGBsbK7xGeHi4QtM5U1NT\n9O7dmzvW0NCAhYVFvdnrFU0uABQmRWR3/MRiscLdN9mJUnpy1dbWRlBQEKKionD16lWcOXMGx48f\nx5kzZ2BmZqa0fwTRmjQUulqRsNFaaGlptVoExNbsZ15enkI/vuDgYO7/ioqKFkeQEwgEuHLlCoRC\nITIzM3m/F6yQA6DJiWGluXLlilyZWCyGqqoqjh07xpUdPXpUoaAD1AlWI0aM4JW9+eabmD59Ok/g\nYBPp7tq1C59//jmqq6tx/fp13nmhoaEKIxqOGzcOEokEISEhSu9F+lqK1hFisZh3vSVLluD333/H\nn3/+iY0bN8Lf3x9jxoxR2r70+8zKyuIJ3sXFxRg9ejSmT5+OlStXKjx/7NixnDawIV8pRZrCxvg4\n9e/fH0+fPsXu3buxePFinm9ZdXU1ysvLYWJiAktLSyQmJjbYXmtDpmsE0UiU5cixtrYmf5wuhrW1\nNffXo0cP7n9F77B79+4oLCzkqfVTUlKgo6Oj1EyRFYIVmT+6u7vzfuyrq6uRkZGBXr16Nfk+evfu\njYSEBN5kGxsbCyMjIxgYGEBdXZ1nEldWVlZvTqfY2Fjs27cPvr6+WLt2LS5evIiqqircuXOnyX0j\niK4IhXmvC1ji7e0Na2vrBs3MWgtjY2MkJCTgnXfe4cq2bduGlJQUFBcXc1ECWVavXq1UkFSkWSku\nLsaLFy+abHFx+PBhpT5wQF0+nYKCAkgkEk4TJY1YLJYTCkNDQ/Hbb7/hyy+/rFdjJIus2WPPnj0R\nFRVVb4RE6bQZ0usX2UTDgGKztCVLlijsx+zZszkTQTZn1ZIlS3Dt2jWeeR3DMIiLi0NFRUWbJcBt\nCNLoEEQjYQMXyGZiJp+clxt3d3f06dMHq1atwpo1a1BYWIgtW7bgnXfe4SaGgoICaGpqcj4+mZmZ\nKCsrkzNbA+ocut9++214eXnB398fBw8ehKamJoYNG9bkvgUGBmLnzp1Yv3495s+fj9TUVOzcuRMz\nZ86EQCCAi4sLduzYgQsXLsDBwQG7du1Sqh0C6nazd+/eDRMTE/j5+eHvv/9GeXl5g9GzCHlaI9IU\nQbwqFBcXY9myZXLlyiLhRUdHY/DgwQpDsysLvbxv374mR7Jbv359g3WmT5+uVJMmFosVCl4PHjxo\nUj8AeW28tLN/XFwcF6RGGdK/SbKJhqWRSCR44403oK6uzpnlSV+TDaihpaXFywEG1OXXGjJkCHd8\n8eJFuLu7c8cCgQDr169XaJ7ZVpBGhyAaiWzgAvLJeTVQU1PDgQMHoKOjg7fffhurVq3ChAkTeJPy\n1KlTeQkRWe2PIlM4Nzc3fP/99zhy5AgCAwORnJyMgwcPNstxU09PDwcPHkR6ejpef/11fPXVV5gz\nZw4XEc7Pzw/vvvsu1q9fjxkzZqBv375wc3NT2p6joyM2bdqEgwcPYty4cdi7dy+2bt3aqLC7BB/p\nEOAEQfBRJBg0x6xJNj9Tjx49cP/+fbl6Eomk0clypakvQSlLWFiY0miFykJMS4d/z8/PVxqRjhVO\nrl+/rjBCHIsyEz+gLgJbaWlpg4liWf+Z8+fP49y5c3JCDgCe/82BAwe4RNjSSEdM3LJli1wAhS+/\n/BIZGRmtEhq+UTBdgLKyMiY6OpopKytr1vm1tbVMdHQ0U1tb28o961rQc2j5MxCLxczt27eZK1eu\nMIWFha3cu/aDxkId9Bxa/gxa+vvcmWnJvcXFxTEA6I/+6K8T/C1ZsqRDrvvw4cMWt/H222932fs3\nNzdnrl27pvTzo0ePtvncQxodgmgCbOAC8skhiM5DVVUVPvvsM3h7e2PQoEE87ZosDx48wLRp0+Dm\n5oYpU6Yo3P1tDaRt4wmC6FjY6HHtTWMSSzeEdICG5tJR9//8+fN6I8VJh45vK0jQIQiCILo0W7Zs\nwf379/Hzzz9jw4YN2LVrl8IIQuXl5Xj//ffh7e2NM2fOwMPDAwsXLmwTE4qcnJxWb5MgCKKrMXLk\nSKWfNTYNQksgQYcgCILospSXlyMoKAjr1q2Dk5MTRo0ahfnz5yvcBQ0JCYGmpiZWrVqFPn36YN26\nddDV1VUoFLWUhvJREARBEG0PCToEQRBEl+XRo0eora3lOeN6eXnh7t27ck6wd+/ehZeXFy+giKen\np8KwsC1FNjkfQRAEwYdN9N2WdInw0uxkJR1KrymwUS/Ky8vrzZb+skPPgZ4BCz2HOug5tPwZsL/L\nskJFe5GbmwtDQ0Ne4lMTExNUVVWhqKiIF/49NzdXLuS3sbGxUn8a9p7KysqURk9Sxttvv42ffvqp\nSecQBEG8SgwePBilpaX1pj1QRmVlJYCG554uIeiwcc8VxUtvCh2VrKizQc+BngELPYc66Dm0/BlU\nVVVBT0+vlXrTeCoqKnhCDgDuWDafhrK6ypJEsnNPenp6k/s1cuTIem3TCYIgCCApKalF5zc093QJ\nQUdfXx82NjbQ1NRsltRHEARBtA0SiQRVVVUKcwa1B5qamnKCCnuspaXVqLqy9Vho7iEIguicNHbu\n6RKCjpqaGoyNjTu6G8RLBMMwSjMZEwTRNDpCk8NiZmaGwsJC1NbWQk2tbkrLzc2FlpaWXDJfMzMz\nucR8eXl56N69u8K2ae55daA5gSC6Ho2Ze2iLiuiyxMXFYdasWXB3d4e/vz9Wr17NZaSvjz179uDQ\noUPt0MOmMWLECNjb22PlypVK60yfPh329vbYuXNni6935swZ2NvbNyrzc0vOIYi2xNHREWpqaryA\nAnfu3IGLi4ucFsbNzQ2xsbFctnGGYRATEwM3N7d27TPRNrysc4L0n4uLC0aNGoXvvvuOM61sKa01\np+zcuRP29vat0COCaD1I0CG6JPfv38fs2bOhq6uLXbt24ZNPPsGNGzewZMmSBs/dsWNHswNbtDUq\nKiq4evWqwgns2bNnuHv3bgf0iiA6L9ra2nj99dfxxRdf4N69ewgNDcV//vMfzJ49G0Cddod1Wh07\ndixEIhE2bdqEpKQkbNq0CRUVFRg3blxH3gLRCrysc8LQoUNx4sQJ7u/gwYMIDAzEgQMHsHbt2la5\nxokTJzBt2rRWaYsgOhtdwnSNIGTZunUr+vXrhz179nC7tnp6eti0aRMyMjJgaWnZwT1sHp6enoiO\njsZff/2FUaNG8T4LCQmBo6MjHj582EG9I4jOydq1a/HFF19gzpw50NPTw4cffsiFLR00aBA2b96M\nyZMnQ09PD/v27cOGDRtw8uRJ2NvbY//+/dDR0engOyBayss6JxgZGcHd3Z1X5uPjgxcvXuDMmTNY\ns2aNUtPLxiLbPkG8TJBGh+hyFBYWIioqCm+99RbPNGX06NG4fv16vRMaq1bftWsXT8X++PFjLFy4\nEJ6envD09MSSJUt4eTBu374Ne3t7/Pbbbxg+fDg8PT1x48YNrFmzBu+99x5OnDiBkSNHwtXVFTNm\nzEBqaiquXr2KwMBAuLm5Ydq0aY0SUCwtLeHs7KwwgWFISAgmTJggV15SUoLNmzdj5MiRcHFxwcSJ\nE3Hq1CleHYlEgj179mDYsGFwc3PD4sWLUVxcLNdWQ8+BIDoj2tra+OabbxAbG4vw8HC8++673GeJ\niYmYPHkyd+zq6orff/8d9+7dQ1BQEPr169cBPSZak5d5TlCGs7MzGIZBVlYWVxYUFIQJEybA2dkZ\nw4YNw86dO3lh0desWYM5c+Zgw4YN8PT0xPjx4yEWi+VM13JycrB27VoMHToUrq6umDp1KsLCwnjX\nr6qqwubNmzFw4EB4eHhg7dq1Ci0Rbty4gZkzZ8LLyws+Pj5YuXIlr88AEBsbi7fffhvu7u4YNmwY\nfv75Z7z77rtYs2YNgDprBnt7e/z0008YO3Ys3NzccPr0aQBAaGgoZs6cCQ8PDzg7O2Ps2LG8ZMHs\ne7p16xZmzZoFV1dXDBs2DEFBQcjJycHSpUvh4eGBoUOH4vDhw81+H0TnhQQdosuRmJgIiUQCIyMj\nrFy5Eh4eHvDw8MCqVasgEonqPffEiRMAgKlTp3L/p6amYsaMGcjPz8c333zD7QC+9dZbcvbdu3bt\nwurVq7F+/XouQWFsbCyOHj2KNWvWYPPmzUhOTsb777+PzZs3Y+HChdi2bRuysrLwySefNOr+xo8f\nL2e+lpKSgkePHskJOpWVlZg5cybOnz+P+fPnY8+ePfDy8sK6deuwd+9ert7WrVuxe/duTJ06Fbt2\n7YKBgQG+++47XltNeQ4EQRCdhZd9TlBEamoqAHBC3L59+/D555/Dz88Pe/fuxdtvv40DBw7g888/\n550XHR2NrKws7N69GytXrpTLnZWXl4epU6ciOjoaH3/8MXbu3AkLCwssWbIE586d4+p9+umnOHny\nJBYuXIjvv/8excXFcoLC2bNnMW/ePPTs2RPbtm3D2rVrERsbizfffJN7jsnJydzGxLZt2/Dhhx9i\n//79uHPnjtw979y5EwsWLMCWLVswcOBAXLt2DUuWLIGTkxP27NmDnTt3wtLSEl9++aWcmfeKFSsw\nYsQI7Nu3D71798aGDRswe/Zs9O3bF3v27IGrqys2b96Me/fuNf1lEJ0bhiC6GH/88QdjZ2fHDBo0\niPnss8+YmzdvMr/++ivj7e3NzJgxg5FIJPWeb2dnx/zwww/c8YoVKxh/f3+mpKSEKyssLGS8vLyY\nr7/+mmEYhomMjGTs7OyY3bt389pavXo1Y2dnxyQlJXFl69evZ+zs7JibN29yZYcOHWLs7OyY4uJi\npf0aPnw4s3r1aiYzM5Oxt7dnLl26xH22c+dOZsaMGXL9P3bsGGNnZ8fExMTw2vrss88YFxcXprCw\nkCkuLmacnJyYrVu38uq89957jJ2dHZORkdHo53D69GneOQRBEB3NyzwnrFq1iqmpqeH+Xrx4wZw8\neZJxdnZmli9fzjAMw4hEIsbV1ZVZv3497/yTJ08ydnZ2zOPHj3l9y8rKUnr/W7ZsYZycnJhnz57x\n6syZM4cZOHAgIxaLmcePHzN2dnbMr7/+yn0uFouZ8ePHM3Z2dtzxwIEDmXnz5vHaefr0KePk5MR8\n8803DMMwzKeffsoMHDiQKS8v5+rExMQwdnZ2zOrVqxmGYZiMjAzGzs6O+eyzz3htHThwgKvDCcf3\nLwAAIABJREFUUlhYyNjZ2TH79u1jGOZ/70l6/ouLi2Ps7OyYTz/9lCsrKChg7OzsmJ9++okhXi7I\nR4foctTU1AAAnJycsGnTJgCAn58fhEIhVqxYgRs3bmDgwIFymcxVVVUVhg+NjIzEgAEDoKWlhdra\nWgB1tt3e3t64efMmr66jo6Pc+fr6+ujTpw93bGJiAgC8SE4GBgYAAJFIJBfyVhZzc3O4u7vj4sWL\nnJ9OSEgI3n77bbm6UVFRsLCw4HYSWSZNmoRTp07h7t27EAgEqKmpwfDhw3l1xo0bh/Dw8GY9B4Ig\niM7CyzwnnD17FmfPnuWVqampYdSoUdiwYQOAOg1SZWUlRowYwfUXqIvaBtSZj/Xt25e7bo8ePZRe\nLyoqCh4eHrCwsOCVT5o0CWvXrkVKSgqio6N57QN1gXTGjBnDJX9MTU1Fbm6uXBRRKysreHh4ICoq\nCkDdsx4yZAi0tbW5OoquD8g/6/nz5wMAysrKkJqaivT0dMTHxwOQTxYsPUeyIeOl34ehoSGAOlNw\n4uWCBB2iy6GrqwsAcgv3wYMHAwAePHgAdXV1LuoSy5EjR+Dj4yPXXlFREUJCQhASEiL3mZGREe9Y\nkdOysjjuLXFwHjduHHbs2IGqqiqkpqYiLS0NY8eOlatXXFwMU1NTuXJ2YpU222B/yFlkz2vKcyAI\ngugsvMxzwvDhw7nIcQKBANra2rCwsOAluS0qKgIAvP/++wrbyMnJ4f5nn5UyiouLFfo0Sc8prH9n\nfXMK2yf2PNm2Hjx4AAAoKChQmKtK0Xmyz6+goAAbNmxAaGgoBAIBrK2t4e3tDQBcCHkWRe9EWrgi\nXl5I0CG6HDY2NgDkd2zYnSwtLS04OTnJOeT37t1bYXvdunWDv78/5s6dK/cZm4CwvRk7diy+/vpr\nhIeHIz4+Hr6+vgonA319fTx9+lSuPDc3FwB/IsrPz8drr73GHbMTEUtnfA4EQRAN8TLPCQYGBnBx\ncam3DqsR+vbbb7lnIY0ioUEZ+vr63PwhjfScws4reXl5MDc35+pIzymsxko2QS/bFttGjx49FNaR\nna8U8cknnyAlJQWHDx+Gh4cHNDQ0UFFRgZMnTzZ0m8QrBAUjILocffr0gYWFBf744w/erg0bFcbb\n2xt6enpwcXHh/bE7OrJJBAcMGICkpCQ4OjpydZ2dnXH48GFcvny5/W5MCjMzM3h5eeHixYu4cOGC\nwmhrANC/f39kZmYiNjaWV37u3Dmoq6vD1dUVHh4e0NLSkovkdvXqVd5xZ3wOBEEQDfEqzAn14ebm\nBnV1dWRnZ/PuT01NDdu2bWtSguf+/fsjNjYWmZmZvPJz587B1NQU1tbW8PX1BYB655TevXvD1NQU\nwcHBvDoZGRmIi4uDp6cnd73w8HBe8J0HDx40qs937tzB6NGj4ePjAw0NDQDAX3/9BaAu0ihBAKTR\nIbogAoEAq1atwvLly/Hxxx9j+vTpSEpKwvbt2zFmzJgGw8UKhULExMTg77//hre3NxYvXowZM2Zg\n4cKFeOutt6CpqYkTJ04gNDQUP/zwQzvdlTzjxo3D5s2bIRAIuJwgskyePBm//vorlixZgmXLlqFX\nr164cuUKTp8+jaVLl3I7fYsXL8b3338PbW1t+Pr64vr163KCTmd9DgRBEPXxqswJyjA0NMT8+fOx\nY8cOlJaWwsfHB9nZ2dixYwcEAgEcHBwa3dbcuXNx7tw5vPvuu1i6dCkMDAxw9uxZREZG4t///jdU\nVFRgbW2NN998E9u3b0dtbS0cHR3x3//+F4mJiVw7KioqWLFiBdauXYuVK1di0qRJKCwsxK5du6Cv\nr89pyz744AOEhIRg/vz5mDdvHkQiEXbs2AEVFRWF/lPSuLq64vz583ByckKPHj0QExOD/fv3QyAQ\ndNoEsET7QxodoksyduxY/Pjjj3j27BkWLlyI/fv3Y8aMGfj2228bPPeDDz7A/fv3sWDBAmRlZcHB\nwQHHjh3jJstly5YhNzcXu3fvVipgtAdjx46FRCLB4MGD0a1bN4V1tLW18csvv2D48OHYsWMHFi1a\nhDt37mDTpk348MMPuXoLFy7EZ599hosXL2LRokVITEzE6tWreW111udAEATREK/CnFAfy5cvx5o1\na3D58mUsWLAAW7duhZeXF44ePap0/lCEqakpjh8/DicnJ/zrX//CRx99hKysLOzZswdTpkzh6m3Y\nsAELFizA0aNHsXTpUlRWVuKDDz7gtTV58mT88MMPSE1NxZIlS/D111/Dw8MDp06d4vx5rK2tcejQ\nIVRVVWHZsmXYvn07FixYAFNT0wb9ib7++mu4ubnhq6++wpIlSxAWFoaNGzdi0KBBXMAEghAwsh5b\nBEEQBEEQBNHG3Lp1C+rq6lwQAaAu4IG/vz9WrVolF0CCIJoKma4RBEEQBEEQ7U5CQgJ++OEHrFix\nAk5OTigqKsJPP/2Ebt26YeLEiR3dPeIlgEzXCIIgiJeC6upqTJw4Ebdv31Za58GDB5g2bRrc3Nww\nZcoU3L9/vx17SBCENPPmzcMHH3yA48eP47333sPnn38OExMT/Pbbb5TWgGgVyHSNIAiC6PJUVVVh\n5cqVuHz5stL8KOXl5Rg9ejQCAwMxdepUHD9+HBcuXMDly5dblPeKIAiC6JyQRocgCILo0iQlJWH6\n9OlIT0+vt15ISAg0NTWxatUq9OnTB+vWrYOurq5cmFyCIAji5YAEHYIgCKJLExUVBR8fH5w4caLe\nenfv3oWXlxcXtlYgEMDT0xNxcXHt0U2CIAiinaFgBARBEESXZubMmY2ql5ubC1tbW16ZsbExnjx5\n0hbdIgiCIDqYLiHo1NbWori4GJqamnIZjAmCIIiOQyKRoKqqCvr6+lBT69xTSkVFBZdBnUVDQwPV\n1dUK69PcQxBEZ+LFixcQCoXkU4jGzz2de1b6f4qLi5GWltbR3SAIgiCUYGNjA2Nj447uRr1oamrK\nCTXV1dXQ0tJSWJ/mHoIgOhNXrlyBpaUl+vbt29Fd6TQ0NPd0CUFHU1MTQN3NaGtrN/l8sViMx48f\nw87ODqqqqq3dvS4DPQd6Biz0HOqg59DyZ1BRUYG0tDTud7ozY2Zmhry8PF5ZXl4eunfvrrA+e09W\nVlZKhaH2RCKRICkpCba2ti+Fhulluh+6l87Jy3YvoaGhMDAwgJ2dXUd3p8W09N1UVlYiPT29wbmn\nSwg67APQ1tZulrpOLBYDAHR0dF7ZxQxAzwGgZ8BCz6EOeg6t9wy6wiLCzc0NBw4cAMMwEAgEYBgG\nMTEx+OCDDxTWZ+9JV1e3U5iKsO9KT0/vpRivL9P90L10Tl7Ge9HQ0EC3bt06uDctp6Xvhj2nobmn\n889MBEEQbYBIJEJaWhoqKioUfpaamgqRSFRvGdH5yc3NRWVlJQBg7NixEIlE2LRpE5KSkrBp0yZU\nVFRg3LhxHdxLgiAIoi3oEhodgiCI1uTOnTsIDg7mjktLS+Hv7w+hUIibN28iNDSU2/WfOHEiACA4\nOJhX5unpCZFIhPz8fBgbG0MoFHbU7RD1MGjQIGzevBmTJ0+Gnp4e9u3bhw0bNuDkyZOwt7fH/v37\nO4W2hiAIgmh9SNAhmgQt7IiugKJxKhKJkJ6ejoqKCoSEhPDq3759G1FRUXBwcMDDhw+5coZhOAFH\ntqyyslJOIGqq8EPfp9YnMTGx3mNXV1f8/vvv7dklgiAIooMgQYdoNNK74NILu+bQGgs82TaULW6b\neh2JRILo6GiUlpbC09MTBgYGzeof0THExMTIaV8A4Pz58/WexzAMT8iRLldUdvnyZd5xcHAwysvL\nERYWBqDh74iifjb3+0QQBEEQhDwk6BCNQiQS4Y8//uCO2YWdra0tT4BojGChbIHXFKFEtg1XV1fc\nu3eP1ybbR+B/i87evXsjLy8PIpEIhoaGCtuOjY3FhQsXAAARERG0AO1gmiJ4ikQingZGkUamqbBO\n6w3BMAwn5EhfW/Y7Ul8/2bqk6SEIgiAAIDk5GZWVlXBwcODKamtrER4eDl9f32ZFI36VIEGHaBT5\n+flyiz2GYVBQUMAtxBqzQ52ZmcnbWW/IDEgRihaJd+/e5bV5/vx5CAQChWUMw+D27dsKr9FYgY5o\nPxoSPKWFAmXjtCWMHDkSAHjjMyAgAGFhYQ22LfsdYftaXl6usJ8ZGRmoqqoiTQ9BEAQBoG7dFBER\nAUtLS64sJiYG4eHh8PT0JEGnAUjQIRqFsbGx3M62QCCAkZERAOU71BoaGjA0NER1dTWeP3+O0NBQ\nubbFYjF+/vlnPH36FC9evEBRURG2b9+OkpISMAwDdXV1qKurw9DQEI6OjrCyskJeXh569+4NfX19\npX1WZnIk3T9ZAaYxAh3R9rACgYaGRr2Cp6w5ZUBAgMJx2lxhZ8CAAdDU1OQFLggICMDAgQORm5vL\nE7AdHR3x6NEjuWtlZmbCxsaGtxGgjFOnTvGOG6PpIe0PQRDEy4u3tzdu3LiByMhIAHVWDhEREXB1\nda13DUTUQYLOK4hIJEJRUVGTFkZCoRATJkzAH3/8wdtpZs9XJiCcPn1aYXvl5eV49OgRHj16hLS0\nNLls5dJUVVWhqqoKpaWlyMjI4H1mYmICW1tbODg4wMrKihdPvaEFLivA6OnpcaZRffv2VbhQNjAw\nQFRUFPnttAMRERGcCZhYLEZBQQFycnK4MMECgQDPnz+HgYEBEhISIBQK0a1bNxgYGCAsLAwjR47k\naV9GjhzJ86dRBsMwKCsrQ0FBAQoLC1FcXIwbN24gNTUVZWVlKC8vR0VFBb788kuoqKhw7evq6kJP\nTw96enpwdHSERCJB9+7dYWpqCk1NTYSFhcHGxkahkNMYIYwdp0lJSTxNz8iRI3lCWGO1PyQYEQRB\ndB10dHTg4+ODyMhIqKio4MWLFygtLcXgwYM7umtdgmYLOtXV1Zg8eTI+//xz+Pj48D4rKSnB+PHj\n8fHHH2Py5MlK2/D29kZJSQmvLCYmBrq6us3tlkJEIlGDfhmvCunp6XLCSn0LI5FIhIyMDJSVlUFX\nVxfvvfceampqYGRkxNth1tDQaHDRVlFRgQcPHuD+/ftIS0urt66Ojg769OkDNTU1ZGVloba2FiKR\nSE4gysvLQ15eHiIjIyEUCtGvXz+4urri/fffh0AgqHcHndVIyZpGubi4ID4+nveMkpOTeXWGDRsG\nsViMR48e4eHDh0hJSYGmpiaMjIxgaGgIJycnjBo1ClVVVbSgrAdZ/5uEhASEhYUhJycHkZGRiI+P\nR01Njdx5t27dUtiepqYmTpw4AWtrawiFQlhZWeHChQuIjY2FqqoqBAIBampqUFVVherqapSWlkIk\nEkEkEqG4uLhegVu23yzFxcUoLi4GwI/wJRAIYGZmhl69eqGiogIVFRUwMDDgmVTa2NggNTW1wesl\nJyfjxo0bPI2krPBWXl6OHTt2wNnZGenp6Xj8+DFycnIgFoshFouhoqICMzMzMAyDHj16wMrKCtOm\nTYObm1uj7pkgCILoGHx9fXH79m3U1tYiIyMDrq6uMDY27uhudQmaJehUVVVh5cqVePLkicLPt27d\nipycnHrbyM7ORklJCUJDQ6GlpcWVt3Y+A2nTFmV+Ga8KIpEI9+7d444b8j+JiYlRGKkqMDAQNjY2\ncmZD0gEBWCorK/H48WMkJCTgyZMnvAUii66uLmxsbGBtbQ1LS0sYGRlBU1MTH3/8MfLz83HkyBGu\nvyKRCLm5udDU1ERcXBxiY2O5NkUiESIjIxEZGYlr167hnXfewaRJk6Curg4AKCoq4vlVBAQEAICc\naVR8fDyGDh0KiUQCDw8PqKioYNu2bXj+/DmSkpKQnJyMjRs3KrwXaTQ0NODs7Axvb28sXLjwlR13\n9SErZKanp+PatWtITk5uVntVVVV48OABHjx40JrdhEAggLa2NrS1taGhoQGgbqyIxWJO2yMLwzB4\n8eIFXrx4gejoaADghC9LS0tYWFigtrYWamoN/wxHRETwjmtqapCdnY3MzEzuLz8/v8F27t+/z/2v\nrq6O0NBQbN68GWKxmDaCCIIgOik6Ojro378/bty4AbFYTNqcJtBkQScpKQkrV65UukseHR2NyMhI\nmJqa1ttOcnIyTE1Nec5VrQ3rWB4fH4+EhAR4eHgAAGxtbQHglTHfYLUustozQN7/JDMzE+np6TA2\nNub5JUgTHBwMMzMzOQHh3r17GDduHI4dO4aUlBQ8evQIKSkpEIvFcm2w/jaOjo6wsLDgmZyxFBQU\ncItKoG6xqa+vz9mkWllZ4bvvvkNmZiZ+++03XLx4kdv9f/z4MdavX4/169fDzMwMdnZ2cHBwwLBh\nwzgBPSwsDGVlZQpN7qytraGmpoaLFy8iKCgIf/75J8rKyup9zrJUV1cjJiaG+wsJCWnwe/GyI63B\n6du3LzeGGIbBrVu3cOnSJd770NDQgK2tLbp3747u3btDT08PDMPAy8sLYrEYoaGhnEamqKgI1dXV\nePHihcIxVx8aGhqwtLREr169oKenh5qaGhgYGEBfXx8GBgbQ0dHhaWJkYQWevLw85OTkIDs7G8+f\nP0dOTg7vfkQiEe7fv88JHKqqqjA1NYWxsTGMjIxgYGAALS0taGhoQF1dndM+VVZWoqioCPn5+cjP\nz0deXl6DgjYAqKioQEVFBaqqqmAYhqexqqmpQXR0NEaNGgUHBwdMmTIFkydPJoGcIAiiE+Lr64sb\nN26gZ8+epM1pAk0WdKKiouDj44OPP/4Y7u7uvM+qq6vx+eefcwvM+khKSkLv3r2bevkmwfqNXLhw\ngfMJ8fDwgJubG+7evftKRDVS5gDNakfKysqQkJCA+Ph4REREIDMzE+rq6tDQ0ICmpia0tLSgpaUF\nVVVV3rlpaWmoqKjgFnfsAm/37t1KtXl6enpwdnaGi4sLzM3N6104AsCzZ8944XplYRgG169fx/Ll\nyzFz5kwUFBTgzJkzOHbsGK5du8bVy87ORnZ2NsLDw/HTTz/BzMwM5ubm0NfXx99//w0tLS1IJBKU\nlpaitLQUhYWF2Lt3L168eKH02sbGxnj99dfRv39/ODg4oG/fvhCLxSgsLERcXBx++OEHxMfHcwvL\n6OhoDB8+HKdPn0bPnj1fOSGbvVdpDU54eDiAOi3MuXPnkJCQwJ1nYGAAHx8feHh48DS+LHl5eQAA\nLy8vXvnHH38MHR0dpKSk4MmTJ6iqqkJRURGCg4NRW1sLiUQCdXV1aGpqQkNDA7q6uhAKhdDR0cHH\nH3/MmWN+//33TQpgoKqqCqFQCKFQiNdee40rr6ysRGZmJjIyMvD06VM8e/aMZ4onFos5rU9LUFVV\nRY8ePWBhYYEePXrA2NgYxsbG0NXV5b5nDg4OCA8Px4sXL/D06VPcu3ePG5+svxxFGCQIguicaGtr\nY+DAgfD19e3ornQpmizozJw5U+lne/fuRb9+/TBo0KAG20lOTkZFRQVmzZqF1NRUODo64rPPPqtX\n+GFtzRsLaw/v6urKRauIjY3F3LlzMXnyZFhaWnLmW717937pJnfZSGjZ2dlISEjA8+fP8fz5c87c\nZv/+/Q22xe4KszvDX3zxRaP60K1bN05zY21trVBzo4wrV640WIdhGOTm5kJXVxf6+vqYO3cu5s6d\ni4yMDPz444/49ddf8ezZM65+bW0tZ+rTFNTV1fHaa6+hb9++sLW1xeTJk2Fubs75KrGYm5vDwMAA\nqampGD16NGJjYxEaGora2lokJCTAy8sLb775JqysrCAQCDB+/HhO09iesN+jpmo+mgKrxQLqtHHD\nhw/H1atXeXXKysrw888/84TjQYMGYfjw4VBVVYWHhwdiY2Mbfc1bt27B2NgYISEh3EbGgAEDGuWH\nwo4jXV1djB8/nmujJWhpaaFPnz7o06cPgP8JNrImZ025joqKCoyNjWFhYQFzc3NYWFjAzMysQRO4\nR48ewdTUFKampnBxccHIkSMRFxeHmJgYqKqqwsrKivd9aixtOYYIgiCI/2FoaEjhpJtIq0VdS0pK\nwm+//YZz5841qn5KSgqKi4uxYsUK6Onp4cCBA3j33Xfxxx9/QE9PT+E5jx8/bnK/XFxcwDAMunfv\njosXL6K6uhqFhYU4fPgwpk+fDnt7ezAMg4iICJibmze5/c4Gq2XR1dVFWVkZqqurkZCQgOjoaN6C\nv6lIJBJIJBKFjuHSqKmpwdLSEr1790bv3r2VmqU1hsYs/gQCAbKyslBUVCT3WWBgIHR0dFBSUoIn\nT54gOTkZWVlZKCgoaLBdDQ0NWFhYoFevXpz/ELuQtLW15Qlhrq6usLKy4o5ZbYOmpiZ8fX1hZWWF\nEydOoLi4GGVlZTh27BgWLFgAExMThISEoLKyssN+uOLj49uk3YqKCrnkmbKCa01NDY4fP84JORoa\nGli2bBnGjBmDgoICGBkZKdTm1Ae7oSF93du3bzd4nuw4EggE8Pf3x40bN5p0/YZQVVWFhYUFLCws\nuLLa2loUFRWhoKCAC4hQXV2NmpoaTvukqamJbt26wdTUFJ6eno0KYNAQWlpa8PX1ldsdVPZ9IgiC\nIDqO8vJy/Otf/8K8efMQGBjY0d3pMrSKoMMwDP75z39i2bJlMDExadQ5hw4dQk1NDbdz+O2332Lo\n0KG4evWq0hdoZ2fX5GAF7u7uGDx4MO7cuYPPP/8cCxYsQFxcHMRiMU6cOIHJkyfD2dmZc4RnF1hd\nUbsTExPDLS4FAgHU1dWxc+dOiEQiubo6Ojqc9oE141FRUUFtbS1qampQXV3N+QZUVlaitraW06gJ\nBAIYGxujtrYWWlpaMDIygqmpKUxMTGBqaso5/7cURWGeR4wYgStXrnC79Q1pRLS0tBASEgJPT094\neXnB3t4esbGxyM7ORnl5OSorK1FdXQ0XFxekpKRAT08P3bp1g5GRkVIBLSkpiXccHx+PYcOG8fKa\n3L59m+u7ubk53n//fQQFBSEtLQ1VVVU4fvw45s+fD21tbfTs2RNGRkbtOvbEYjHi4+Ph4uLCM0ts\nLdLS0ur9XCKR4OzZs5zw3a1bN8yZMwcBAQGccMG+XzaseUtgI9aw48bZ2Rn379/njseNGydnvpqW\nlqZQ0LG1tZUbAwKBANOmTUNQUFCTtUBqamowMTHhfjvZ++7Tpw+ioqI44U16vItEIm68JCcnyz0f\nbW1tVFRUcMdCoZDLS1Ufvr6+8PPza1L/y8vLm7UJRRDtARsUpGfPnh3dFYJoEd999x3Onj2Ls2fP\nttja4FWiVQSd58+fIzY2FomJifjmm28A1O3obtiwASEhITh48KDcORoaGjxHc01NTfTq1QvZ2dlK\nr8OaTjUVQ0NDmJiYwN3dHV9//TU+/fRTxMfHQyKR4PTp06ipqcHgwYO5wdOV/Hakwzuzvg8ikQgX\nLlzAw4cPeXW7d+8Ob29v2NnZQV9fv0EfGTc3N1hZWSmMvAYoFkRkc5i4uLjwIr0BdZqWiooKLnko\nW082pDPDMApDYbu6ujZaKGDvl62fm5uLR48ewcbGhldv6tSpOH36dLPznBQXF3MRqwwNDTFx4kSe\n2aCuri7eeustHDp0CDk5OcjPz8eZM2cwc+ZMPHjwADExMdz12nPsNfc71RCmpqb1jo+rV69yPjnq\n6uqYOXMmTExMEBUVxdVnGAYhISFYvnw57OzscP36dd5zCggIUJiAVtF1/fz84Ofnxxs3I0eORG5u\nLrKysuDp6Sn3HJTdQ2BgIO7fv88b5xMnToSjoyPvvQsEAnh6euLOnTtyfRw6dCj++usvubanTJkC\nS0tLblyPGTNGrt9A3Rhjxxs7xtkcU+z5cXFxePToERwcHODu7t5gwlL2OTV1PLTF+CGI1uLdd9/F\nkSNHcPr06XrTXRBEZ6clVjmvMq0i6JiZmeHSpUu8slmzZmHWrFmYNGmSXH2GYTBq1CgsXryY++Ep\nLy/H06dPeY68rQ0bfviNN96Auro6YmJiwDAM/vvf/0JNTQ0uLi5c/7qCU66ihcuTJ09w6tQpVFVV\ncWV9+vTBsGHD0KtXr3qFG4FAgBkzZqCgoIALfwvUCaGyGdsBwM/PD7du3ZITRJydnXkLs4CAALlF\nGFBnVihbT3ZB17dvX7ky1um7sUjXV+RPIBAIYGlpKbdInThxIgDwygICAnghqtnzjYyMeG16enrC\n1tYWCQkJ3HdDU1MTb731Fvbv34+Kigo8efIEYWFhvHfSVcZeQyhLMOvp6YnExEQuEIFAIMDUqVPR\ns2dPbjxJw0YFtLGxQWBgIIYOHcobD9ra2g2+M+nEttLPVCgUQldXV6mZllAoVDgmhEIh/P395cY5\n8L/3zpYD4H5nWFgBSCgUyrXt5OSksB8NjQWhUCh3rru7Oy9gjGzfZBOQjh8/vkuPOYJQBJue4Kuv\nviJBhyBeQVpF0FFTU4O1tbVcmbGxMczMzADURWQrLi6GkZERVFVVMWzYMOzcuRMWFhYwMjLCjh07\n0KNHDwwdOrQ1uqQQ1jdDRUUFgYGBUFdX5+z3z549C6FQyN2HbNjlzoZsoAGgLiLehQsXuDIdHR2M\nGzcOzs7ODWpvAGDixImws7OTK7e0tFS4s+3j4wMfH58GBRFFizBl9WSfd1OFmoYQCoVwdXWV0x4J\nhUK5hSB7XdkyRYtrRX1k7/vy5cvcszM0NMS0adPwyy+/cL5hffr04QXh6Oxjr7F4eXnxBFWgLvrc\nypUruTpjxoyBvb09BAIBnJycEBkZWa8QKTseGvvOmouy9hX1RVm5MmGpvrbbCum+sddntVodERSD\nIAiCaByNWccR8rRaMIKGiI2NxezZsxEWFoZevXrh008/hZqaGlauXInS0lL4+vpi//79bWoGYWRk\nxC3YBQIBxo4di5qaGsTExEAsFuO3337D/PnzYWxsrHCXvjMhHalJIpHg0qVLPEdsBwcHTJo0qVE+\nTV5eXhgyZIjShVZ9O9vs510JKysrDBs2jBO8mypsNWWBKvvsAOC1117D6NGj8eeffwI3julVAAAg\nAElEQVSoS1i6aNEibux39rHXFNhnx2ofT506hcLCQgCAk5MTfHx8ANQJdzU1NfWOs4au0VBZS++h\nuTRHWGovGtJqEQRBEERXpkWCTmJiotLPZCMs+fj48OprampizZo1WLNmTUu60CRkF50qKirYvn07\n1q9fj+vXr6OiogLHjh3De++9h8GDB6OkpKTT5jth/ZskEgnOnDnDy3g+cOBABAQENBjtzM/PD76+\nvo26t47YfW5LhEJhi7LAN2WBKv3s1NXVkZ6eDolEgvv37yMzMxN5eXmIjIzEwIEDAQABAQFd/vlK\nIxKJcP78eTx58oSL8qalpYVx48ZxO1SscGdjY/NSjTOWjhZoCIIgCOJVpN00Op0F2QV7WFgY/Pz8\n8PDhQ+Tk5KCgoABBQUHQ0tLqMAfxxlBdXQ2JRILz589zQg7bT9kkirK88cYbsLGxafLCixZrzUf6\n2XXr1g2XL1/GhAkTuBxG165dg7OzM/T19REWFgZtbe1ONd5aQmRkJKqqqhAcHMyVjRkzBt26dVOq\nIaRxRhAEQRD/g0zXmkfzEpx0cYRCIWxsbFBSUoJ79+5BS0sLM2fO5PL3pKWl8RIbsg7iisI0tyci\nkQipqakQiUQwMjLCxYsXuWSKKioqmDFjRr1CDps81cnJiRaSHQjrqG9hYQFvb28AdTll2KAFnWW8\ntQR2rGZmZiIyMhJXr15FcXExAKB3795wd3fHe++9hzlz5mD58uUvjVBHEARBEG0BhZRuHq+cRkea\n9PR07n8DAwNMmzYNhw8f5pzEe/XqBQcHBwAd7yAuHWFNIBAgNTWVC8XLhqW1t7fnncOWGxgYoKam\nBvr6+khJSemI7hMyeHl5oaioCGVlZXjw4AHKy8uRkJAALy8vvPbaa2AYBomJiejfv39Hd7XJ3Llz\nh6e9KSgo4MaqmpoaJk6cCH9/f17STIIgCIIgiNbmldTosEhnswcAa2trjB49mjv+/fffuUhtHekg\nLhth7fbt2zh8+DD3+T/+8Q+5qGbS4WotLCyaZapGtB0ikQgRERHQ0dHByJEjuXI2GSoAhISEcOaT\nXQWRSCSXvPLatWuQSCQA6vzHTExM4Ovr2xHdIwiCIIguCZmuNY9XWtCxsLCAm5sbr8zX1xf9+vUD\nAFRVVeHEiRNcNKiOEhQyMjK4xe+TJ0+4xKAAMH78eF6uDDYvCZkDdW7y8/O5/93d3dG9e3cAdQnB\npLVuXc2ETToaIADk5ORwCWO1tbXh7+/fod8lgiAIgiBeHV5pQQcAXn/9dcyfPx9jxozB+PHjIRAI\nMGnSJBgbGwMAsrOz8fjxY9ja2nL+Me1JREQEl6zzxYsXCAoK4haS/v7+GDBgAK8+wzDQ1dWlhWQn\nhw1hDtT5Vw0ZMoT77Pr169w7ZhiGS7baFZC+LwA8X7eBAwdiwoQJJIATBNHukH8D0dUhjU7zeOUF\nHaBOs+Pr68slLtTS0sL06dOhplbnwhQUFIR58+bhyJEj2L59Oy5dutQuAk9ERATCwsIAACUlJfj1\n119RXV0NAHB0dOSZPLG8TDlYXmbYUOfsD1e/fv1gYmICoM53LC0tjat76tSpLmPCJn1fz58/x8OH\nDwEAenp6GDBgAMLCwrqUhoogCIIgiK4LCTpSsIs0ADAzM8OECRO4z86dO4fc3FwAwK1bt/D999+3\n6eJTJBJxQk5NTQ2OHz/OLRAtLCzwxhtvyOXJaWyCRaJz4OnpieXLl2P06NFyWp2//vqLVzc4OBiZ\nmZnt3cVmwd4Xa7IGAIMHD4aGhgYX1IMgiObx4sULTJo0SS5XHUEQBCEPCToy2NracrvsHh4enA9P\nTU0NgoKCOI1KW4cAZn04GIbB2bNn8fz5cwCAvr4+3nrrLWhqagKoE24GDx5MYXq7KEKhEE5OThAI\nBHBycuK0campqbyogAzD4ODBg11Gs/Pw4UNERkYCqBuzbNhz0jgSRMvYuHEjQkJCEBAQ0NFdIRRw\n5coVrFy5ElVVVR3dFYIgQIKOHLLO1BMmTICpqSmAOsfq8+fP8/wn2mp3mvV1uH79OhISEgAA6urq\neOutt9CtWzdeDpIRI0ZQVLUuDKtJVFVVxeDBg7ny69evy9XtCsEJRCIRvvjiC+54yJAhUFNTI40j\nQbQC2dnZHd0Foh5Gjx6Nbdu24fvvv+/orhAEgVc8j44iWAGDFWY0NDQwffp0HDhwANXV1YiPj4e5\nuTn8/PwgEAhQWloKkUjUqos3kUiE/Px85Ofn49q1a1z51KlT0bNnT0ycOJFykLxksJpEV1dXXL9+\nHUVFRUhOTkZOTg4XkQ3o+HxODXHnzh0cOXIEFy9eBFD3fTp06BDKyspgZGTUaftNEATRmlDOOoLo\nHJBGRwZZJ3GBQABTU1O8/vrrXJ1Lly4hJSUFDMPg9OnTreavIxKJ8Oeff2L79u3YuHEjdu/ezX02\natQo2Nvb47333iPztJcQVpOoqqoKHx8frvz27du8ep3Z9IvNoXPr1i2uzN3dHZqamqRxJAiCIIgW\nQFHXmgdpdBTg6ekJW1tbFBQUwMjICElJSZwvTHh4OBiGwalTp7BgwQIYGhpy/jq2trbNXsxJZ5PP\nzs7Gb7/9BrFYzPXH398fQJ2vEPHyIa1J9PDwwNWrV1FdXY27d+8iICAAOjo6AAAHB4dOKzDk5+ej\nrKwMsbGxAOpMLb28vDq1BoogCIIgiJcX0ugoQSgUcrvQbBSpXbt2cT4U5eXlOHr0KEpLSwG0zF9H\nOpt8UVERjh49yjky9u3bFxMmTIBAIOjUu/lEyxAKhdx71tLS4pLA1tbW8rSFjx496rQ+OsbGxoiO\njkZtbS2AOgFdV1eXxixBEARBtBDS6DQPEnQayZMnT/D777/D39+fSyaan5+Po0ePoqKiAkDdDnZm\nZiZu3brVpFDArNlScXExfvnlF5SUlACoCyM9bdo0qKqqkiP3K4CXlxcXblrafC0qKorT7nXm8Mwa\nGhqIi4sDUPeD7OfnR2OWIIhXElqUEq0NJb1tHmS61gikNS7a2tqYNWsW/vOf/0AkEuHFixc4fvw4\n3nnnHVy9ehXJycnceW5ubjzfHmUYGxujoKAAP//8M4qLiwEARkZGmDlzJjQ0NDBmzBj069ePFoyv\nAGy4aRMTE/Tt2xdPnjyBSCTCo0eP4OTkBKDOydXGxqZjO6qAX375hRPCJkyYgI0bN9KYJQiiU0CL\nRIJ4NSGNTiOQDTltYGCAWbNmcX4T6enpOHbsGO7evcs77+7du8jMzIRIJEJqaqpSk6OnT5/i2LFj\nPCFn9uzZ0NXVhUAgICHnFYMNiOHr68uVSQclCA8PR1FRUUd0TSkMw2Dnzp3c8fr162nMEkQbQAv2\n5kEaFqKrQ2O4eZCg0whYR3FpunfvjlmzZnGJO58+fYr9+/fLmazdvHkT27dvx5EjR3jR2UQiEVJS\nUnDw4EEMGTKESxBqbW2NuXPnwsDAgMzVXmE8PT3x73//m8vhlJ6ejqysLO5zWaG6o/nrr78QHx8P\nAPDz80P//v07uEcEQRAEQbzqkOlaI2B32IODg8EwDCeA2NraYsyYMViwYAHy8/MhEonwn//8B2PG\njIGnpyfU1NTw4MEDrh02Olt5eTnOnj2L4OBgJCYmcp9bWFhgxowZmDRpEszNzSnvyCtOr169MHXq\nVPz4448AgL///huTJk0CAFy7dg2FhYWNMo1sD3bt2sX9v3Tp0g7sCUEQhDztvRtOu+8E0TkgQaeR\nyIacZgWQgIAAzJ07FydOnEBGRgbEYjFCQkIQHh6OAQMGcJGnAEAsFuPp06cIDg5GfHw8Kisrufad\nnZ0RGBgITU1NhIaGYvny5STkEFi3bh0OHTrEJasdPXo0tLS0ANRpdfr379/hyWMzMjLw+++/AwDM\nzMwwderUDu0PQRCELCR4EF0dGsPNgwSdJiAUCuWEj/z8fOjp6WHOnDn4888/8ffffwMASkpKEBYW\nhrCwMKiqqkJLSwtisZgn3ACArq4uJkyYgH79+nFlbGQtEnQICwsL/OMf/0BQUBBqampw9+5dXkS2\njIyMDhd09u3bx0WFW7hwITQ0NDq0PwTxMkM+OgRBEI2HfHRaCOu/o6amhgkTJmDu3LlwcHDg1RGL\nxSgrK+MJOaqqqnBzc8PixYt5Qg4AypdD8Fi/fj33/99//81b6FhaWnZElzgqKyuxf/9+AICamhoW\nLlzYof0hCIJQBO2GE8SrCWl0Wois/461tTWsra1RUFCAqKgoZGVlobKyEpWVlRCLxbCysoKjoyPs\n7Oy4QAay+Pn5kTaH4HB2dsbgwYMRHh6OvLw8PH36lAsvnZ2d3aEanaCgIOTm5gIApkyZAnNz8w7r\nC/HqUlVVhY0bN+LSpUvQ0tLCvHnzMG/ePIV1Fy1ahCtXrvDK9u7di+HDh7dHVwmCIIh2hASdVkDa\nf6e6uhrHjx+HkZERxo4d26z2pE2TCAKoW5yFh4cDqNPqsIJOcHAwbG1tO0wwlg4p/eGHH3ZIHwhi\ny5YtuH//Pn7++Wc8f/4cq1evhrm5ucLf4OTkZGzduhV+fn5cmb6+fnt2l+gAKBgBQTSfsrIyzt+8\nq0Gma62EUCiEjY0N1NXVm3Rez549uf8FAgECAwNJm0PIMXLkSO5H5uHDhygpKQFQZ6//9OnTDulT\nVFQU55Pm7u4Of3//DukH8WpTXl6OoKAgrFu3Dk5OThg1ahTmz5+PY8eOydWtrq7Gs2fP4OLiAlNT\nU+6vK/mVkY9O14DeU+ckMzOTy1nY1ego4fmHH36Anp4efvnllw65fkshjU4rw/rsNPQj5+XlhSFD\nhkAoFEIkEslFcyMIaUpLS+Hh4YGIiAhIJBLExMRg6NChAIAzZ86gpqYGnp6e7donaW3O0qVLaQeT\n6BAePXqE2tpaeHh4cGVeXl7Yu3cvJBIJVFT+t5+XkpICgUDQ4b5tRPtDv0+tQ1FREfT09KCm1vWW\njzk5OejVqxcAEkSbwkcffQQAmD17NmbNmtXBvWk6pNFpZVifHfZHVSAQwM3NjfcjO3LkSF4iUFYb\nREIOoQxjY2P079+fG0fR0dFcpDMAOH/+PEQiUbv1Jzs7GydPngQAGBkZYebMme12bYKQJjc3F4aG\nhjytjImJCaqqqlBUVMSrm5KSAj09PaxatQqDBg3C1KlTcf369fbuMkF0SZ49ewZDQ0O4u7u3SnsM\nw2DhwoXYvn17q7TXELGxse1yHaJz0fVE8i6Aopw7I0aMIK0N0WyEQiEGDx6MkJAQJCYmoqSkBImJ\nibyIfRkZGXBycmqX/hw4cADV1dUAgPnz50NbW7tdrksQslRUVMiZnrHH7BhlSUlJQWVlJQYNGoT3\n338fly9fxqJFi3DixAm4uLgovYZYLOZtLHQUsn3oDH1qCWz/2+s+2vI6itruqu9H2Xth86UlJCS0\nyr399ddfXNTOZcuWtbg9RUjfS21trVx5V0JaC9VR/W/N67b0+9/Y80jQaSNkc+4oysFDEI1FJBIh\nPj4eAwYMQGJiIoA6HxlpQae8vLxd+lJTU4O9e/cCAFRUVLBo0aJ2uS5BKEJTU1NOoGGP2eS6LIsX\nL8asWbO44AMODg5ISEjAyZMn6xV0Hj9+3Mq9bh3i4uI6ugtKycvLw9KlSzF58mRMnz693rrx8fFt\n3p/y8vJ2fV55eXmd+v00Btn38uzZM+7/1ri3e/futWp79REfH4+UlJR2u15bkJ+fz/3fUf1vi+u2\n9fefBB2C6ALk5+eDYRj07t0bxsbGyM/PR1paGnJyctC9e3cAgI6OTpv3QyQS4ZdffkFmZiYAIDAw\nkIsARxAdgZmZGQoLC1FbW8v5DeTm5kJLS0tuc0lFRUUuwtprr72GpKSkeq9hZ2fXLt+vhpDdwWwt\nE6K2YP78+UhKSsKWLVvw73//W2EdsViM+Ph4uLi4QFVVtU37o6Oj06bPi70XFhMTk079fupD2Xu5\nefMm939r3Bs7j7RWe4qQvpesrKw2v15bYmxszP3fUf1vzeu29PtfXl7eqE0oEnQIogvABrlQUVFB\n//79cfHiRQB1Wp2JEycCaPvkoXfu3EFwcDB++uknrmzp0qVtek2CaAhHR0eoqakhLi4O3t7eAOrG\nqouLy/+1d99xTST//8BfwcqpgAU9P+opqCBIt4AIdk8FUbCcYi+n2M9ez65nwd7Ogo3zLKCcDbvo\niZ4VEQRFpSmIShfpJfP7g2/2l5AEEggJxPfz8eDxIJvZ2dnZ7GYnO/MekUAEALB48WLweDxs2LCB\nWxYWFgYDA4Nit1GlSpVyvxEvjYpYJoGiE2QXRxn1y+PxlFpfyt5eeSh6XITHGiti34QDGpR3XRXd\nl8p4bISvZ6oqf3lst7Tnv6zrUDACQioB4SAXFhYWXBjzoKAgZGdnw8rKCrVr11bY9vh8PkJCQhAS\nEgI+n4+0tDT4+vri06dPXDjrBg0aoEOHDgrbJiGloampCWdnZ6xatQrBwcG4desWjhw5gjFjxgAo\nfLojuOnu0aMHLl26hPPnz+P9+/fYs2cPAgICMGrUKFXuAlECmkeHqDrSGp/PR3p6ukrL8D2ihg4h\nlYSVlRVmz56Nbt26wdzcHEDheJmgoCB8+/ZN4VHXMjMzER8fj7S0NK7rnHDXhY4dOyIlJUWh2ySk\nNJYsWYK2bdti7NixWL16NWbOnImff/4ZAGBnZ4crV64AAH7++WesXLkSf/75J/r37w8/Pz94eHhw\nIWeJ4tCNPimJqhseytatWzfUqVNHZKyTPFR9Tql6+6VFXdcIqWQePXqEDh064NmzZwCAx48fo0OH\nDnj37h2cnJwUMp9OYGAgrl69CgC4f/8+evXqha9fvyIkJARAYX93S0tL1KtXr8zbIqSsNDU1sWnT\nJmzatEnsPUHwDoGhQ4di6NChyipapRceHo7bt29jwoQJck2IXdFuYivrTZo6mz17tlK3p+rPpL+/\nPwDA29sbc+bMUWlZSqOynkOlfqKTm5uL/v374/Hjx9yydevWwdDQUOTvxIkTUvO4fPkyevXqBXNz\nc0yfPh3JycmlLQ4h3wVB1JVGjRpBT08PAJCcnIywsDAAhedUWZ/sfPz4EZcvX+ZeM8Zw69YtxMXF\ncV8UHTt2xKBBgyiSICFqrnXr1pgyZYrS5johFZdweGZFKCkIiLoqbYNL1Q0NVW+/tErV0MnJycHc\nuXPx7t07keURERGYN28e7t+/z/0NHjxYYh7BwcFYtmwZZsyYgTNnziAtLQ1LliwpTXEI+W4IR13p\n3Lkz9//9+/fBGANjrEw/GAQEBMDDw0NseWZmJtf4qVGjBg4fPqyQJ0eEfC8+fvyIefPmISIiQtVF\nKRXBr9GyUtZN0b59+2S6d6AxOmXn7u6u9G2GhIRg7NixiIqKUvq2KxpVP5GqrORu6ISHh+OXX37B\nhw8fxN6LiIiAsbExdHV1uT9pEwmeOHEC/fr1g7OzM9q0aYPNmzfj33//RUxMjPx7Qch3QhCUAABa\ntmyJH3/8EQAQFxeH6OhoACh1dzJBwAFJnj9/joyMDADA+PHjoa+vX6ptEPK9cnZ2xrZt29ClS5cy\n5UM3O6KmT5+OjRs3lji/B9Vb2cXFxSl9mx06dICnpyecnJyKTSfL8VXEZ+B7/hwJN94TExMRHx+v\nwtLITu6GzpMnT2BtbY0zZ86ILE9PT8eXL19knlMjKCiICwUKAI0bN8b//vc/BAUFyVskQr4r7dq1\nw5w5c+Do6CjyVOfBgwdl+hVREHCgqIKCAu4mgsfjYe7cuaXeBiHfK8GYOlXcLCqCcHfWiqikLrvq\n+ITleyCImBgaGio1TUJCApo2bYr58+eXa1k+f/6M5s2bY9WqVeW6HWlU/RkWbD8/Px+6urpo1KiR\nSBj5ikruYAQjRoyQuDwiIgI8Hg/79+/HvXv3oKOjg/Hjx8PFxUVieuGJDgXq16+Pz58/S912QUGB\n2IRpshCsU5p11QnVg/rUQa1atVCvXj0YGxvj9u3bSE1NRXh4OD59+oSEhATUqlWr2PUl1YOOjg54\nPJ5YY6dOnTpISEgAAAwcOBD6+vqVvv4E1OXzUBZlrYPvue6IfF6/fo0TJ05g/vz5qFu3rqqLQ9TE\nsmXLEBcXh61bt2LLli1S05X0NCYkJAT6+vpSJwdev349YmJisHr1apU1dioCQe8OoPCHm4rew0Nh\nUdciIyPB4/Ggr6+PUaNG4enTp1i+fDlq166N3r17i6XPzs5G9erVRZZVr14dubm5UrchywyoxRGe\ntfh7RvWgHnWQlZWFKlWqoFOnTlyEtAcPHmDw4MEIDw9HrVq1pHYdFShaD6ampnj58iUYY+DxeDAw\nMBCJjDNgwIASu4hURurweSgrqgNS3oyNjQEA0dHR+PvvvxWad0k3sar+NVxYamoqJk2ahNGjR2PA\ngAGqLk6llpubi0OHDpU5n0uXLmHAgAEwMTGRei0sGowhMDAQK1aswIYNG2BiYlLmMlR0ks6h1q1b\nV/gfuxTW0HF2dkb37t2ho6MDAGjTpg2io6Nx6tQpiQ2dGjVqiDVqcnNzi70xMzAwkNrSLk5BQQFe\nvnwJU1PTSjkbrqJQPahfHcTHxyM3Nxf//vsvMjMzERoaivPnz0NXVxc8Hg8ODg6wtLQUW09aPVhY\nWKBbt25ITk5GvXr1sHv3bnz58gUA4ODgwE3CqC7U7fNQGmWtg8zMzDL/CEVkV1nGCBTXsHjy5InC\nt1eZGjorVqzA2bNncfbs2UpzPCsqeeZyK66uPT09AYCbQkGW9W1sbJCbm4snT55w35PlSdWfYcH+\nX79+nVvG5/NVVRyZKayhw+PxuEaOgL6+Ph49eiQxfaNGjZCYmCiyLDExEbq6ulK3UaVKlTLdjJR1\nfXVB9aAedZCWloaQkBBUr14dNjY28PPzA5/Px40bNzBy5EgwxnDlyhUYGBhIDQMtqR7q1q2LunXr\n4u7du9iwYQOAwvN7zJgxlb7OpFGHz0NZlbYOvvd6I/L73m/uP336pOoilIs1a9agWrVqahtBt+jn\nVvBjfWkG5WdnZ+PVq1ewtLRUSANG0AtDGYYNGyby+smTJ+jYsaNStl0apZ5Hp6idO3di3LhxIsvC\nwsKk9t0zNzdHQEAA9/rTp0/49OkTN+M7IaR4wsEDbGxsuMbMu3fvuPkJShtuOi0tDcuXL+cGGpqZ\nmeHNmzdlnqOHEEJK09DZunUrOnTogNTUVIXlqSrCZZ06dapadBuNj4/HypUrsXTpUmRmZqq6OOVC\nkZ+xvn37ol27dhKnc5DX5s2b0ahRI7EpX5TF29u7xDRbtmzBn3/+qYTSiFNYQ6d79+54+vQpDh8+\njA8fPuDkyZM4f/48JkyYAKCw5ZuQkMD15XN1dcWFCxfg7e2NsLAwLFy4EN26dUOzZs0UVSRC1Fr9\n+vW5X3CqV6+OXr16ce9dv34dBQUF4PF4pQo3HRoayj2NrVKlCrp3717mOXoIIaS05s+fj2fPnmHr\n1q2qLopC7d+/H2ZmZqouhlSLFi3CsGHDSrzJF46+VdKYjby8PJw7d04h5VMmRTZ0/v33XwCQ6+Zf\n2vYXLVqEhISEcomIKogWWZyS6uXjx49YsGABpk2bhvz8fOTk5MDLy4ubAL28KayhY2Zmhp07d+LC\nhQvo378//vrrL2zdupUbHxAYGAg7Ozvuka2lpSXWrFmDvXv3wtXVFdra2lw3GUJIybS0tGBjY8O9\nNjU1RZMmTQAUhtt8/vw5OnXqJLXbWnF2797NDbzs2LEjF5GttHP0EEIUQ9VPLjw8PPDXX3+VKY+y\n7IO0cLaMMYSHh+PmzZsS35e1W8+FCxeKjdwlK1WPp5AXn8/H6tWrucA2Aps3b4aXl1eJN7zCx7Sk\nff/jjz8wZMgQkWXKCFMsXMaDBw/i9OnTpV5fUeTJs6S00sbLpKen48iRI0hISMCVK1fkevLToUMH\nmdNKkpmZicmTJ4uUcdmyZRg2bJjIj7PlqUxjdN68eSPyulevXlILbm1tLZZ+0KBBGDRoUFmKQMh3\nzcbGBg8fPgRQ+OXSt29fHD58GADg5+eHvXv3ypQPn8/Hs2fPkJ6ezgURAQqDhtjb24PH46F///6l\najQRQtRDQkICJk2aBKCwn37RyKnClH2jzxhD69atAQCPHj2CtbV1qfJxdnYGAHTu3BmdOnUqNm1i\nYiK0tLSKrYfK4p9//uFCJheNLgag2Ii4gOSGTmpqKl6+fAk7OzswxnDx4kW0b98eZ8+eFVv/5MmT\nXA+g8iJcRjc3NwDA8OHDS5WXorpxK7KhI82MGTNw/PjxMuclzzpfvnzB0KFD8fHjR0RGRorkIbi/\nUFaXTYUFIyCEKJ+WlhZ69+7N/YrZrFkzmJiYICQkBFlZWXBzc4Ovr6/UAeNpaWlITU3Fx48fcfv2\nbaSkpGD//v3c+9u2bYODgwPq1atHjRxCvnPp6enc/xU5pOyzZ89K3dARKG5OPwD48OEDmjdvjpYt\nW3JjImWl6qdyknz48EHkdVZWllzrS2roWFlZISoqinsCOHr0aPB4PLRt21Zs/ZIaUsI8PDxw6tQp\n+Pj4yFyX586dK/PUCMLbUtTg+6CgoFJtX573izZyipOfn4+qVSU3DSQ1gKVtd/HixfD395eYVtk/\ngiis6xohRDVsbW1hb2/Pve7duzdq1qwJoHCsjuAX2KI+fPiA3bt3w9PTE7dv30ZBQQHOnTuHnJwc\nAMCQIUMwdepUtGjRgho5hBCF3aCXdxcgReRf0s2Yr68vgMLJ0mWlqP1OSUmBq6urWDczecoxYsQI\nqZNe3r59G/b29ujfvz+3rKT6kNTQiYqKAlA4WP3GjRtcOuEJJ0tj0qRJ8PPzw+bNm2VK/+bNGwwb\nNkzi8AhJx+Tbt28lNuSL9lAqi6SkJFy5cqXEbcry+UlKSip1yOfFixdDS0ur2OkCJIXfZowhMzMT\nZ8+e5Z50ff36VeL6fD6fGjqEEPnp6elx/2tra+OXX37hLiZHjx7FkSNHRNKnpchHX3EAACAASURB\nVKUhODiYu3AyxuDn54fY2FgAhSGmV6xYUen6mROi7iri0wBlKu01SdJ6Bw8ehLW1tcTwwCVtR/j9\n3Nxcke45ktbfunUrmjZtisjISCQkJMhTdDFLly7F6dOn4eDgIPe6jDHcvn0bp06dwurVqyWmWbhw\nIQDg2rVrpSpfSXUnaACVlbTuY8JR3/h8Pl6/fi01D0nnk5aWlsRui/Kce69fv5a63aJPy6ytreHo\n6IiqVauCx+NJbfAIb19S9MGrV6+iQYMGcHFxAQD4+/vj8uXLMpd506ZNyMrKktoABoADBw5IXD5j\nxgwMHTqUG3sl7TNADR1CSKnUr19f5LW+vj769u3LvZ42bRpu3brFvRaOnpabm4vz58/jwYMHAAAN\nDQ0MHjy4VHMDEEK+D2W5WYmOjlZcQSSQ9YbUzc0NT548wYoVK8Te09D4/7dH9+7dg6mpqUhXHOH9\n79q1KwwMDKTOGwgURo2Li4vDggULxOYQBApv/mfMmCHWYJJE8INUafTo0UPiJO7C+yOpfBcvXpR5\nG9u3b8fOnTtFlslyTO7cuYPHjx/LvB1JVq9ejVq1amHDhg14/PgxHB0dsW7dOrnzefr0qcjrnJwc\nPH/+XKZ1s7OzYWxsDGNjY4kBD37//XeR10WfCh49ehQODg7w8fERWS5ch4LGTFxcnFj+Fy9eBI/H\nQ5cuXeDk5CSxjFu3bsXIkSNRUFCAx48fiwSHqFatmtR9k3QcGWM4evQoAEgNBiKclho6hBC5aWlp\noXPnziLLOnbsyEU9zMnJQe/eveHq6oqYmBguelpiYiIOHz4s0k+4d+/eaNq0Ke7fv0/z5hDynbl/\n/77Um21pN6uMMbx9+1aucTuK7PojKENxiru5ktSVqmhDJiQkBF26dJH4vqCBc+HChRLLKa1bUZ8+\nfbB3716FRaJ6//692JOTzZs34+7duxLTCz9l+Pjxo9j7mzZtkrje/fv34eLiIhI1benSpZg9e7ZI\nupK6UyUmJqJHjx4ikUSLKtozQdIxFTyNWLp0KWxsbGS68S7JmjVrULNmzRLH03z69AkjRowQeRLm\n6urKhZKW1YwZM3D16lUMHjwYwP8fGydcVsFxFERaldf8+fNx8uRJXL16FTY2NiLhvqtWrYojR46g\nXbt2YutJqi9Jx7a4JzpFx4OVN2roEKImWrZsKfKax+PB0dFRZNLe06dPo02bNujUqRM2bdqEPXv2\n4MuXLwAKf8UZPHiwyCN7mjeHEMVbuXKlqosgUUhICOzt7cWuJZII38h4eHjA0NAQrq6uMm8rJSUF\nHz9+xOnTp+X+QaWgoAAPHz4UGcAu6xgdxhhiYmJgbGzMLTtx4oRc2wfK9kRLUvkEIX8V0a0rLy8P\nLVq0gL6+PrKyssDn8xEWFoZFixZJTJ+fn4/ly5eXalv29vY4f/68xAAD8hB8DwGF5Zdk4sSJIq+/\nffuGe/fulWm7spD1fJ08eTJOnTrFPW0RkPVJkIBgnCwAjB07FnXq1MGcOXPEPjfyBoyQRNIYMw0N\nDUycOFFiucPCwkrMs7jzT9ITqPJGDR1C1ITwBKICVatWxahRo9C/f3/88MMPAAr7L79580bkIvnT\nTz9h0qRJMDU15ZbRvDmElI81a9YgNDRU1cUAUHiDuWDBArx9+xYBAQHFppV2A7Nx40YAss2QLpxX\n9+7dsWXLFkyfPl32AqPw13pbW1uMHz+eWyZLYykrKwsmJib46aefih23AUhvyNy+fRvfvn2TawxP\nUfLc7P33339o1aoVLl++DC8vL7GuUKdPn8bkyZORn5+PvLw8ZGZmijyhSk5Oxrx582BkZCQx/z17\n9qBmzZrlHkWvpCcne/bs4f5v3bo1/vzzT4ldAdevX8/9f+zYMQwbNqzcyhUSEgJHR0eZ85IWfa8s\njWJPT08AwI4dO8TCcgu+08ui6JO3kvj5+YktK1qH0dHRUvdZOHKjslB4aULUhJaWFhwdHeHr6yty\n4dHQ0ED79u3Rtm1bxMfH4+zZs2CMoV69etDT00OnTp2wbNkyvHjxArdv3wYAmjeHkHKm6G6hL1++\nRFxcHPr06SOy3MPDA3FxcRLHoQDAyJEjcfv2bRw6dEhsXIWsJHV1kyVKl2C9K1euyLU9QbStkydP\ncsuGDh1a4nrOzs549eqVTNuQVn5B1zIPDw+x94S7SSUmJmLNmjUYO3YsfvrpJ255XFycTMf+27dv\n0NTU5LokC4+1qFWrFve/4CmatbU1fv31VwAQi5q1Y8cOqduZOXNmiWVRBHkG8r9//x7Tpk2T+F7R\n8S2KIimceM+ePeUaqyrtM6OoMSkpKSkKyackgsaVrIoe26CgIIlzJQGKv+7Jgho6hKgRS0tLREdH\nSwwBqampiebNm3N9cl+8eAELCwtujh07OzuYmZkhOTmZ5s0hpJIxMzMDUHjzb29vj7dv36Jr165c\nePlBgwbBxMREbD3BhMPSwsEWh8/nY+rUqaUqr/DN0devX5GRkSFyAy9M0nwc8vry5UuxYXMBiNzU\nlnRzWlLkNEEjbM2aNejevTu3XJYbPV9fX5HQzkVJGlMk3PVL+ClHabukyeLZs2cyp71//365laMs\nrly5ggsXLkgsn7wBeaTNBaSKAfhlIc+cRoB4Q6do1z1h8+bNK3bd8kBd1whRI+np6SV2ibl16xb+\n++8/ie9paWnRvDmEqMDXr1/LPKEhAIwYMQLNmjVDz549RboDSWvICN+ACUfzunfvHlq1aiV1O4wx\nXLhwAQcPHixVOYve4BT3S71wEABZHDp0CIDoDVtJjZx169ZJ7d4lye7du2VKV1BQIBLxUpYgDGV9\naiE8zkcQDUvRduzYgQ4dOsiU9uLFi2WKFFeeBg4cKBbkoDQyMjKkzqkkS5CKykyexkrRgA6lfYos\nD2roEKJGkpKSZLro+Pn5KWQgIyFEMVq2bAlLS0upUbFKQ3iQvSyBRYR/JOnatWuxk2H+/PPPEsMQ\ny6rodWrHjh0i0Zg+f/6MgQMHis3lEhgYWGLeISEh+Pz5M2rUqCFzeZYvXy5SRw4ODuDxeFx33qJK\nO6halutzaebZWbZsGfe/pDlWFG3OnDnlvo3KpHbt2lLfU+Q5XREJdyGVV2kCgciLGjqEqJGi8+kU\nJy8vDwEBAfDz81PKFyMhRFxSUhJOnTqFpKQkAOK//n748EEhA8UnTJiAqVOnYt++faXOQ/gm3d/f\nv0z97SXd8Ddv3pxrPM2cORMXL15Ev379RNLI2q1GUTeXigr3LA9J4Z0Jqagq+v0DNXQIUSNaWloS\nJ4OTJDQ0FFevXoW/vz927doldwhMQkjp7dixA+bm5rCwsMCIESMkprly5QqaN28udbxGbm6uzN1G\nEhMTsX//fkyfPl1kHUWPHVi6dCk2bNggku/evXvF0kkr99ChQ5GZmYmYmBiJ78ta3pcvX8qUjhCi\n3igYASFqxtbWFowxrl84j8dDq1atuHkaBAS/IAOFNx2XL19Gq1ataHwOIQpy7Ngx/Pvvv9yYEWFe\nXl4lri+YpFHQfcvf319k0HmDBg2gq6uLmjVrylUuBwcHnD59Gtra2nKt5+bmJvJaUne4DRs2iC2b\nMWOGWANFWkPn7t27UoMSAMDjx49lKSr++OMPmdIRQtQbNXQIUSN8Ph+vXr2CtrY2fvvtN6SmpqJe\nvXpISkoSa+gUxRhDcnIyNXQIURDBPC89evSQeR3hBkDRyRCFo3cBhSGIv337JjUvaVGxrl27Bjc3\nN7E5WU6dOlVs2e7cuSPyWp7GRNG5cgShkOWVnZ1dqvUIId8n6rpGiJrJzMzkwmK2aNECtWvXlmlw\nK4/Hg46OTnkXj5DvjjxjLnx9fQGIR+cqKWqYvM6cOYNVq1apZAI/QPKM7IQQomjU0CFEjQQGBkod\nd9O6deti1y0ulKyq9ejRA4aGhtxf27Zt0bdvXxw7dkzh22KMYcKECfDx8eGW7d69W2T7gr+ePXtK\nzWfAgAFi6QU3q7m5udi0aRO6dOmCDh06YPr06RInrAMKu+oYGhoqdieJUi1ZskTmtILZ1YvOhVUe\nn4HVq1crPE9CCKlIqOsaIWoiLS2N+zUY+P/jbjIzM0VCpOrr63MzkvN4POjp6SEyMhLv3r3Drl27\n0L9/f1hZWSm9/CVZunQpHBwcAAD5+fl49OgRli1bBh0dHTg7OytkG3w+H+vXr8eDBw9EBoBPmDAB\nw4cP516npaVhxIgRGDNmjMR8CgoKEB0djRMnTqBFixbc8rp16wIAdu3ahVu3bmHLli2oV68e3N3d\nMWPGDHh7e1eqieVI+Sg61wQhhJDSoYYOIWpC0hw6jDGxeSCioqLQrVs38Pl86Ovr4/jx4yLpK2pQ\ngjp16kBXV5d77eLigsuXL+PGjRsKaeh8+fIF8+fPR2xsrNi+16pVS2SA9O7du9GqVSupDZ3Y2Fjk\n5eXBzMxM4lwe//zzD5YtW4aOHTsCANauXQt7e3u8f/9epGFEvk8WFhbQ19dXdTEIIaTSo65rhKiJ\n+vXriz0NkPR0gDEGPp8PXV1dieFpBUEJKoOqVauiWrVqEt+T1NXM0NBQ6ozmoaGhaNy4Mc6dO4c6\ndepI3WZUVBR8fHywaNEiqU9fwsPD0bhxY4mNHD6fD3d3d9ja2oq9V9zA8lOnTsHe3h6WlpZYsmSJ\nyHwid+7cgYuLC8zMzODg4IAbN25w740ePVpkn2NjY2FoaMjNVG5sbAxvb2/Y2tpiypQpyMvLw++/\n/w5ra2tYWlpiypQpIpG+iHIInroSQggpPXqiQ4ia0NLSgqOjI3x9fcEYA4/HQ48ePcSe6PB4PFhY\nWCAyMhJNmjQBj8cTm1ejXr16yi6+XPLy8nDnzh08ePBAauSn+/fvS1z+ww8/SFzeo0cPmaJjHT58\nGDY2NjAzM5OaJiIiAtWqVYObmxtCQkKgp6eHhQsXwszMDBoaGmKNHE9PT9StW7fYcRjXr1/H4cOH\nkZCQgBkzZsDMzAyurq54+PAhZs6cifnz56Nr1664e/cu5syZgzNnzsDExKTE/QGA58+f4++//wYA\n/P3333j69CmOHDmCmjVrYtWqVfjjjz+wc+dOmfIihBBCKgpq6BCiRiwtLVFQUICMjAxYWlpCS0sL\nX7584QY283g89O/fn+uaJalxJPx+RbJy5UqsXbsWQGGI2Zo1a2Ls2LEYMGCAxPTC3dwUJT09Hb6+\nvtixY0ex6aKiovD161cMHToUs2bNgpeXF8aOHYsrV66gcePGImlv3bqFI0eOYPXq1ahevbrUPFeu\nXAk9PT0YGBjA1tYWYWFhAAobJn369MG4ceMAAHp6eggODsaRI0ewbds2mfarZ8+e0NPTQ5UqVXD6\n9GnUqFEDTZo0gY6ODjZu3FjhZ74mhBBCJKGGDiFqRENDgxv3AQABAQEi0Zt69OgBKysrFBQUcMuK\nNo4qaojpWbNm4eeffwYA1KhRA7q6uqhSpYrU9JaWlhKXu7m5YcqUKaUqg7+/P2rWrAl7e/ti061d\nuxbZ2dmoXbs2AGDVqlV4/vw5Lly4ILLtW7duYfbs2Rg1ahSGDh1abJ4//fQT93+dOnW4rmsREREi\ngRKAwn0/d+6czPsl3CgcNmwYfH19YWdnh44dO6JXr14YNGiQzHkRQgghFQU1dAhRU0WjsAGAn58f\nzMzMRAbWF20cVVT169dH8+bNZU5//vx5icvlnQ1emL+/P7p37w4NjeKHN1atWpVr5ACFT9L09fVF\nxrr4+vpi4cKFGD58OJYuXVritos26gTdDaWNA+Lz+RLzEW7kCgiPc2rdujX8/Pxw9+5d3L17F9u2\nbcPly5fx999/U0Q4QgghCqOMoCvU0CFETUmLwpacnCzS0FFX8jSKZBUcHMx1ESvO6NGjYW1tjRkz\nZgAobHi8efMGI0eOBAA8fPgQCxcuxMiRI2Vq5BRHT09PLBxxYGAg9PT0AADVq1dHRkYG915MTEyx\n+Z0/fx7Vq1eHg4MD+vXrhxcvXmDYsGFISkpCgwYNylTW70lxgSUIIYSgxJ4MikANHULUlCAKW2UL\nNFBR5efnIyoqSuLEqgUFBUhOToa2tjaqV6+OHj16YO/evTAyMoKenh48PT3x7ds3uLi4ID8/H0uX\nLkWHDh0wadIkJCQkcPkI1pfHuHHjMGLECBw/fpwLRnDz5k0cPnwYAGBiYoLz589zcxDt2rWr2Py+\nffuG/fv3o27dumjatCkuXbqEH3/8kZsDiMgmKSlJ1UUghJAKy9bWFk5OTuW+HWroEKKmigs0IKn7\nEileamoq8vPzJQZq+PTpE3r27AlPT09YW1tj3LhxyMnJwbp165CYmAhzc3McPXoUtWvXxosXLxAX\nF4e4uDjY2dmJ5CNYXx7m5ubYvHkzdu/eDXd3d+jp6WHHjh3o1KkTAGD8+PF4+/YtRo0ahUaNGmHZ\nsmVwc3OTmt/IkSPx+fNnLFiwAF+/foWJiQn+/PPPYsdDEXGvXr1SdREIIaTCunfvHl68eFH+G2KV\nQEZGBnv27BnLyMgo1fr5+fns2bNnLD8/X8Elq1yoHr6/OigoKGCPHz9mfn5+LCUlhVv+vdWDNFQP\nZa+Dsl6fFSE7O5stWbKEtWvXjnXu3JkdPnxYatrQ0FA2ZMgQZmZmxgYNGsRevnwpNW1Z9m337t0M\nAP3RH/19J3+zZ89WeJ5//vmnUvfh119/FVsWHx8v8/pxcXFS32vYsCH3/+PHj5X23UMThhKixgSB\nBrp3715ho6kRUlabN29GSEgIjh8/jpUrV2LPnj24du2aWLrMzExMnjwZ7du3h4+PDywtLeHm5obM\nzEyFl2nOnDkKz5MQIh8bGxup70VERIi8XrNmDRfZszifP3+WuHz79u3o0qUL91rebshF7d27F1Om\nTBGZHBooDB5jb28PPp+P2NhYLFiwgHvPzs5O5jnPatSogbZt23Kv+Xw+tm7dKpLm7Nmz0NXVxY0b\nN3Ds2DEkJibiwoULePr0qVh+GzduROPGjfH27VsEBASIXFetrKzw4MEDTJ48Ge/evVNuAKRSNaOU\njJ7oKAbVA9WBANVDIaqHyv9EJyMjg5mamrJHjx5xy/bu3ctGjRolltbb25v16NGD8fl8xhhjfD6f\n9e7dm507d05q3qXdN1SAX5jpj/7K+6927doSl2/ZskXmPLZv316qbc+fP5/7f86cOax169Yi78fF\nxbHMzEx26NAh9vLlS7FtMsbYsmXLmLa2NgsPD+fO3YSEBDZ48GBWp04dpq2tzV6/fs2uX7/OrSvp\n/L516xZjrPCJcYMGDdi2bdtYdHS0SJoGDRqwnJwclpSUxHR0dNjevXuZm5ubSBpNTU3u/7y8PK5M\nVapUYQDY3bt3WU5Ojsi1pqCggJ05c4YdP36cZWdnM8YYCw4OZs2aNWMHDhxgAQEBbPXq1Vy+EyZM\nYEeOHGGxsbGMMcbu3r3L7X9eXp5Iec6ePVvitW779u3s0KFDEt/r27cvAyDxfWV991BD5ztC9UB1\nIED1UIjqofI3dAICApiRkZHIl/+jR4+YqakpKygoEEn7+++/swULFogsW7RoEVu+fLnEvKmhQ3/K\n+jM3Nxd5LXwTL+2vdu3abN68eWzz5s0iyxcsWMD9P2nSJDZixAiZynD06FGWn5/P4uLi2MaNG1le\nXh5btWoVMzU15dIEBgYybW1t1rNnTxYTE8MYK7zRFs4nNTVV5FwoKChgISEh7MCBAyw/P59dv36d\nnTlzhs2fP5+lpaUxxhgLDAxkQ4YMYY8fP2YxMTHs7Nmz7PPnzywsLExiWfv168cYYywpKYk9fPiQ\n8fl8lpSUxL0fFxfHGBO9vn39+pX99ddfLD4+XqR8sl77/vjjD+bl5cUYY+zvv/9ms2fPZrm5uVzj\nQkDwQ0rRa8G9e/ck5puYmMg6d+7M1qxZw9LT01lQUJBYmvT0dBYfH6+U76uwsDBWo0YNBkCky3tp\nZGVlsefPn4vVCWPU0BFBDR3FoHqgOhCgeihE9VD5GzrXrl1jtra2IsvCw8OZgYEBS0pKElnu5ubG\n3N3dRZZt3ryZTZo0SWLeZdk3Hx8fld8801/Jf9ra2mz9+vVs1qxZ7I8//mD9+/cvcZ1v376xb9++\nsZs3b7Jr165JTDN+/Hg2YcIE7nVkZCQLCAhg3759Y58/f2ZRUVHs9evXzNHRkW3cuJE7/4Qb7Feu\nXBHZZkFBAXv48CFzdHRko0aNYrm5uVza0NBQZmZmxj2dTEpKEmnoC5dtz549zMvLi+Xl5TEbGxum\nqanJvn79yqWVdE149OgRe/jwodTP+86dOxkAkSeripKZmclSU1OZp6cn+/nnn9mnT58k3jjn5uZy\n+5iVlSV1X5Tt6dOn7MSJE2XOR5n7kp+fzzIzM8t9G8r47qkUUdcEE99lZWWVan1BhKnMzMzvOnIQ\n1QPVgQDVQyGqh7LXgeC6LG2C0vKWlZUl1hde8Lpo33ZpaYumExDsU0ZGhtyRCnv06AFDQ0O51qmI\nGjZsiGnTpsHDwwOxsbEAgBYtWsDKygo+Pj4AgDFjxsDT01NkvYkTJ+Lw4cNYuXIlfvjhB/j4+CAo\nKIibnDY7OxumpqaoU6cOJk+ejNatW+PMmTMwNzeHkZERIiIisGLFCowZMwY9e/bE06dPkZSUhEaN\nGqF9+/bIzc2Fv78/NDQ00L17d24y27i4OPz111/Q0NDAtGnTUKtWLeTn5+P9+/do3LgxUlNT8b//\n/Q98Pl/ixL+Cua8EGGP4/Pkznj59imPHjmH79u1cyH5BhMS0tDQEBQUhPj4etra2qFGjBqpWrYqC\nggK0aNEC7dq1Q4MGDdCgQQMwxvDDDz/ghx9+AACcOnUKAETGM+Tk5AAAOnfujAsXLqBly5ZgjCEj\nIwNt27bl1snOzkZ2djYAoFmzZrh//z6AwhDx1apVE5k/6/Tp09i2bRu2bt0Kc3NzAIXnw40bN7g0\ngrmfBJ/79PR0ro6MjY1F0hQ1fvx4jB8/vtg0ZaGhoQFnZ2c4OztzZZPk7du34PP5yMvLQ15ensR9\nUTZDQ0MYGhqWuV5UsS/lOR9YWfdH8Nkv6buHx1iRGQUroKSkJERHR6u6GIQQQqRo0aIF6tevr/Tt\nXr16FevWrcODBw+4ZREREXBwcMDjx49FgnBMnjwZBgYGmD9/PrfM3d0dERER2L9/v1je9N1DCCEV\nW0nfPZXiiY62tjZatGiBGjVqqKxFTgghRByfz0dOTg60tbVVsv1GjRohJSUF+fn5qFq18CstISEB\nNWvWFJvzqFGjRkhMTBRZlpiYiIYNG0rMm757CCGkYpL1u6dSNHSqVq2qkl8KCSGElKx27doq27aR\nkRGqVq2KFy9eoH379gCAgIAAmJqaijVOzM3NcejQIW4CXcYYnj9/jilTpkjMm757CCGk4pLlu4d+\noiKEEFJpaWpqwtnZGatWrUJwcDBu3bqFI0eOYMyYMQAKn+4I+nL37dsXaWlpWL9+PcLDw7F+/Xpk\nZWWhX79+qtwFQggh5aRSjNEhhBBCpMnKysKqVatw48YN1K5dGxMnTsS4ceMAFA4E3rBhAwYNGgQA\nCA4OxsqVKxEREQFDQ0OsXr2aG2hNCCFEvajNE52cnBwsXboU7du3h52dHY4cOSI17atXrzB06FCY\nm5tj8ODBCAkJUWJJy5c89XD37l0MHDgQlpaWcHJywu3bt5VY0vIjTx0IxMbGwtLSEo8fP1ZCCZVD\nnnp48+YNXF1dYWZmBicnJzx69EiJJS0/8tTBzZs30a9fP1haWsLV1RWhoaFKLKly5Obmon///sV+\nzivj9VFTUxObNm1CYGAg/P39uUYOUPjZFjRyAMDMzAz//PMPgoOD4e3tXeEaOTdv3uSiNAn+Zs2a\nJTFtRT9WPj4+YvtiaGiINm3aSEw/depUsbR37txRcqnFSTpvYmJiMG7cOFhYWMDBwYGLeCbN5cuX\n0atXL5ibm2P69OlITk4u72JLJGlfXrx4geHDh8PS0hJ9+vSBt7d3sXm0b99e7DgJR3hTFkn7sm7d\nOrGynThxQmoeFfW4LF68WOK5I3hSLYmqj8uXL18wa9YsdOzYEfb29tiwYQMXQVCl50upgldXQGvW\nrGFOTk4sJCSE3bhxg1laWrKrV6+KpcvIyGCdO3dmGzduZOHh4Wzt2rXM1tZWZXNAKJqs9fD69WvW\ntm1bdvz4cRYdHc1OnDjB2rZty16/fq2CUiuWrHUgbOLEiczAwKBc5gBQFVnrIS0tjdna2rLff/+d\nRUdHs507d7J27dqxxMREFZRasWStg7dv3zJTU1P2zz//sPfv37PVq1ezzp07l/s8AsqUnZ3Npk+f\nXuznXN2vj5XBvn37mJubG4uPj+f+hOc4EagMxyorK0tkP+Li4ljv3r3Z+vXrJabv3bs3u3Dhgsg6\nRWeBVzZJ5w2fz2dOTk5s3rx5LDw8nO3fv5+Zm5uzjx8/SswjKCiImZmZsX/++Ye9fv2ajRo1ik2e\nPFmZu8EYk7wv8fHxrH379mzr1q0sKiqKXb58mZmamrI7d+5IzOPz58/MwMCAffjwQeQ4SZrXpjxJ\nu56NGzeOHThwQKRs0q7jFfm4pKWliexDYGAgMzExYTdv3pSYh6qPC5/PZ7/88gv79ddf2du3b9nT\np09Z79692caNG1V+vqhFQycjI4OZmpqKfNj37t3LRo0aJZbW29ub9ejRgzv4fD6f9e7dm5tkqzKT\npx7c3d3ZxIkTRZZNmDCBbdu2rdzLWZ7kqQOBCxcusOHDh6tVQ0eeejh+/Djr1auXyKRdgwYNYnfv\n3lVKWcuLPHVw9OhR5uLiwr3+9u0bMzAwYMHBwUopa3l79+4dGzBgAHNycir2c67O18fKYt68eWzr\n1q0lpquMx2r//v2sV69eEhsvOTk5zMjIiEVGRqqgZJJJO2/+++8/ZmFhIdKoHDt2LNu1a5fEfBYs\nWMAWLVrEvY6Li2OGhobsw4cP5bsDQqTty8mTJ1nfvn1F0i5fvpzNnTtXdcX8iAAAFWJJREFUYj4P\nHjxgnTt3LvfyFqe465m9vT3z9/eXKZ+KfFyKmjBhAps/f77UfFR9XASTNCckJHDLLl26xOzs7FR+\nvqhF17WwsDDk5+fD0tKSW9auXTsEBQWJTSQUFBSEdu3acZOL8Xg8WFlZ4cWLF0otc3mQpx5cXFxE\n5pIQKM/JoZRBnjoAgJSUFLi7u2PNmjXKLGa5k6cenjx5gp49e4pMFnnu3Dl07dpVaeUtD/LUgY6O\nDsLDwxEQEAA+nw8fHx/Url0bP/30k7KLXS6ePHkCa2trnDlzpth06nx9rCwiIiLQokWLEtNVtmOV\nmpqKQ4cOYd68eWKTtgJAZGQkeDwemjVrpoLSSSbtvAkKCoKxsTE36SdQeG2RVvdBQUFcREAAaNy4\nMf73v/8hKCiofAougbR9EXQxKkrahJzh4eHQ09MrlzLKStq+pKen48uXLzKdP0DFPi7CHj58iKdP\nn2Lu3LlS06j6uOjq6sLDwwMNGjQQWZ6enq7y86VShJcuSUJCAurWrSty8WzQoAFycnKQmpqKevXq\niaRt1aqVyPr169fHu3fvlFbe8iJPPbRs2VJk3Xfv3uHhw4cYPny40spbHuSpAwDYuHEjXFxc0Lp1\na2UXtVzJUw8xMTEwMzPD8uXL4efnhyZNmmDRokVo166dKoquMPLUgYODA/z8/DBixAhUqVIFGhoa\nOHDggMrmhlG0ESNGyJROna+PlQFjDFFRUbh//z4OHDiAgoIC9O3bF7NmzRJrHFS2Y3Xq1Ck0bNgQ\nffv2lfh+ZGQkateujYULF+LJkyf48ccfMXPmTJX+4CLtvElISBCbe6l+/fr4/PmzxPTx8fFypS8P\n0valadOmaNq0Kfc6KSkJvr6+mDlzpsT0ERERyMrKwujRoxEVFQUjIyMsXbpUqTfZ0vYlIiICPB4P\n+/fvx71796Cjo4Px48fDxcVFYvqKfFyEHTx4EC4uLmjcuLHUNKo+LlpaWrC3t+de8/l8nDhxAjY2\nNio/X9TiiU5WVpbYl4DgdW5urkxpi6arjOSpB2HJycmYOXMmrKys0LNnz3ItY3mTpw7+++8/BAQE\nYNq0aUorn7LIUw+ZmZk4ePAgdHV1cejQIXTo0AETJ07Ep0+flFbe8iBPHaSkpCAhIQErVqyAl5cX\nBg4ciCVLliApKUlp5a0I1Pn6WBnExcVxx2DHjh1YtGgRLl26hM2bN4ulrUzHijEGb29vjBo1Smqa\nyMhIZGdnw87ODh4eHujatSumTp2Kly9fKrGkspG37rOzsyvFscrOzsbMmTPRoEEDDBs2TGKayMhI\nfP36FVOnTsW+fftQs2ZNjBs3TuoTIGUSPBXU19fHwYMHMXToUCxfvhw3b96UmL4yHJeYmBg8evQI\no0ePLjZdRTsu7u7uePXqFebMmaPy80UtnujUqFFDrAIEr2vWrClT2qLpKiN56kEgMTER48ePB2MM\nu3btqvSzf8taB9nZ2VixYgVWrlypFse+KHk+C1WqVIGRkREX2cnY2BgPHjzAhQsXpE6kWBnIUwdb\ntmyBgYEBRo4cCQBYu3Yt+vXrh3PnzmHy5MnKKXAFoM7Xx8qgSZMmePz4MbS1tcHj8WBkZAQ+n48F\nCxZgyZIlIt1LK9OxevnyJb58+QJHR0epaaZNm4bRo0dzT1HbtGmD0NBQeHl5wdTUVFlFlUmNGjWQ\nmpoqsqy4upd2rDQ1NcutjPLKyMjAtGnTEB0djZMnT0ot2+HDh5GXl4datWoBKLx2du3aFXfu3IGT\nk5MyiyzG2dkZ3bt3h46ODoDCz1B0dDROnTqF3r17i6WvDMfl+vXrMDIyEnt6W1RFOi7u7u44fvw4\ntm/fDgMDA5WfL5X7rvb/NGrUCCkpKcjPz+eWJSQkoGbNmtDS0hJLm5iYKLIsMTFR7DFZZSRPPQCF\noQBHjhyJ3NxceHp6inXrqoxkrYPg4GDExMRg1qxZsLS05MZxTJo0CStWrFB6uRVNns+Crq4u9PX1\nRZa1aNGi0j/RkacOQkNDRULeamhooE2bNoiLi1NaeSsCdb4+VhY6OjrcuBugsJtxTk4Ovn79KpKu\nMh0rf39/tG/fvtiuoBoaGmLv6+vr48uXL+VdPLnJW/fS0uvq6pZbGeWRnp6OiRMn4t27dzh+/Hix\nY1yqV6/O3UwDhTelTZs2rRDHicfjcY0cgeI+QxX9uACF544sPW0qynFZu3Ytjh49Cnd3d/Tp0weA\n6s8XtWjoGBkZoWrVqiIDmwICAmBqair2hMLc3ByBgYFg/zdPKmMMz58/h7m5uVLLXB7kqYfMzEz8\n+uuv0NDQwIkTJ9CoUSNlF7dcyFoHZmZmuHHjBs6fP8/9AYUx+H/77Tell1vR5PksWFhY4M2bNyLL\nIiMj0aRJE6WUtbzIUwcNGzZERESEyLKoqCiRvuvfA3W+PlYG/v7+sLa2RlZWFrfs9evX0NHREfsh\nqjIdq+DgYFhZWRWbZvHixViyZInIsrCwM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 2, figsize=(10, 3), sharex='col', sharey='col')\n", "fig.subplots_adjust(wspace=0.15, hspace=0.22)\n", "\n", "best_freq = freq[np.argmax(power)]\n", "best_freq6 = freq6[np.argmax(power6)]\n", "\n", "phase_fit = np.linspace(0, 1, 100)\n", "\n", "# get more accurate estimate for 6-term\n", "f, p = ls6.autopower(minimum_frequency=best_freq6 - 0.01,\n", " maximum_frequency=best_freq6 + 0.01,\n", " samples_per_peak=30)\n", "best_freq6 = f[np.argmax(p)]\n", "\n", "ax[0, 0].errorbar((data.t * best_freq) % 1, data.mag, data.magerr,\n", " fmt='.', color='gray', ecolor='lightgray', capsize=0, zorder=1)\n", "ax[0, 0].plot(phase_fit, ls.model(phase_fit / best_freq, best_freq), '-k', lw=2, zorder=2)\n", "ax[0, 0].text(0.98, 0.03, \"P = {0:.2f} hours\".format(24 / best_freq),\n", " ha='right', va='bottom', transform=ax[0, 0].transAxes)\n", "ax[0, 0].set_title(\"1-term Model\")\n", "\n", "ax[1, 0].errorbar((data.t * best_freq6) % 1, data.mag, data.magerr,\n", " fmt='.', color='gray', ecolor='lightgray', capsize=0, zorder=1)\n", "ax[1, 0].plot(phase_fit, ls6.model(phase_fit / best_freq6, best_freq6), '-k', lw=2, zorder=2)\n", "ax[1, 0].text(0.98, 0.03, \"P = {0:.2f} hours\".format(24 / best_freq6),\n", " ha='right', va='bottom', transform=ax[1, 0].transAxes)\n", "ax[1, 0].invert_yaxis()\n", "ax[1, 0].set_xlabel('phase')\n", "ax[1, 0].set_title(\"6-term Model\")\n", "\n", "ax[0, 1].plot(24 / freq, power, '-k', rasterized=True)\n", "ax[0, 1].set_title(\"1-term Periodogram\")\n", "\n", "ax[1, 1].plot(24 / freq6, power6, '-k', rasterized=True)\n", "ax[1, 1].set_title(\"6-term Periodogram\")\n", "ax[1, 1].set_ylim(0, 1);\n", "ax[1, 1].set_xlabel('period (hours)')\n", "\n", "for axi in ax[:, 1]:\n", " axi.annotate('', (17.52, 0.82), (17.52, 1.02),\n", " arrowprops=dict(arrowstyle=\"->\", color='gray', lw=1))\n", " \n", "fig.savefig('fig23_binary_multiterm.pdf')" ] } ], 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