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@zhusimaji
Created December 20, 2017 14:33
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 数据分布可视化"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas as pd\n",
"from scipy import stats, integrate\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"sns.set(color_codes=True)\n",
"np.random.seed(sum(map(ord, \"distributions\")))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 单变量因素分布"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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y4r931qJnaETqSBQiLPIIsbUP44v6LuRnGHHLkmyp41CcqrghD98qn4O+4VFs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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111497d50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.random.normal(size=100)\n",
"sns.distplot(x);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 直方图统计\n",
"在之前的描述中观察单变量因素分布,其中使用了KDE核密度估计,这个与直方图的含义是一样的\n",
"区别在于直方图绘制出来的结果不够平滑,kde可以使用类似高斯核平滑估计"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Ag4g3ABj0f4uBlJoriBtPAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111497e90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#将kde参数设置为False\n",
"sns.distplot(x, kde=False, rug=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"直方图的参数中可以设置bins的大小,bins含义就是分为多少个区间,假设离散的数据有100个,bins设置为10,就是将100个数据分成10份来统计概率分布"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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26fm0ydmzZxUIBLRu3TqNHDkyGfUBAIKwFN4AAHtxkw4AGIjwBgADEd4AYCBbw9vn8+mF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\nADAQ4Q0ABiK8AcBA/wOwpaplSPmO8AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11f407d50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#在此我们设置bins的大小为20\n",
"sns.distplot(x, bins=20, kde=False, rug=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## kde核密度估计"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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PNdmxHW1ifGo0lhD9gPcj59U3Bpp1cnoMh0+e4+NdJ8mbmjyIya4USOcVAivv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\nCBGEpLgLIUQQ+v8B2GMd3hIL6pMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11f5c5390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot(x, hist=False, rug=True);"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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X8N79kKnhsyn3G3/gQcTuuQdiJAJjLgO1f4DQEYKA+k9+CtHDRyCGQlh+83XOzcYfeMAZ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zRN/Mmf/An+5m/+Bu+88w4qlQr+/d///ZEu+Fmy+gL54Yc/mEXIySQSA4M8g/NrVUiKAjmVPofi\noU2w9pHRiE7IeaxZu31N0MJONnPkTXYMzLmxe3QPD+Bsb6P96iwsGizc3R149TppFlJVnlWKGTAz\nY2qKFyc7ful/hNehz4sVOhlronb3Dtn1TE7yWkGk0EmzzfT1mwCAo7tE/0UfGeGFQSZ4pSSTSLBp\nOkEQwiV9GYLvLyxEtuz1h/NQ2tuh9mXIe/R8LMg4xW0Osxy31WdccCDkzitthIMfOHZECZFDPOtR\nqIZdr3b/HuxCAcbEBFI0CLI5oM5Oic/+JJn4FmcEiZOgzmPG+ASgKC1VXORsmhbaJXwedurw5Q8+\n+ABf+9rXAADPP/88bt++zd/TNA3vvPMOkrTjzHVd6AKm2cy6u1NQVeXEz5xkmUz7hY99lHaRdW0s\nL0LWNOReugG3XIFT3Eb3Sy+if6AT+xsr5EO+j8D30f3iC+gf6DzxfMyO7t1H4LrouXntwmvbXiNO\nKvtzzyHRQY5fXggzzqGXbqIt047A87C4soxkdhiD49FA47suFpaXkBodweAEyWp35snfT8fVWWx8\n7x+gtrfDLZeh7+TR/eIL2J6aQvnhQ/S0J+DMTuHwhzQxoAOnOwb7wBrUx776c1ytsLRKnHPuF16E\n3tuOoHcWG+kULPqD7XvuOn8Ou+tU1bC3F87uLpRUCkPTpNC5ee8+2cmkEmCN+YntDWSuEujl8Pkv\nYfuf6SCKwioyXyWF1b1rc9j97x+hI6jD6B+AWSzC3dtDzy98BYqho/Qf76HNOkJqdAR+13XkNQ3u\n6hI6r81h70c/RgdMGJlQMya0duSzw6hv5KH6FNY62iO7Bd+HvHAHmf/1dQBA8MJNHL73H1C215H5\n8k1+Bq/jJvKKAushgaT6XngORn8GR//5Q/iVMmRdh29ZSNcPkB4fg/n8TazduY32lIpNWYa7unTi\n39Dx77Vja3IC1eUV9HRoUE7xDZ+3NVuX330NG7oO55R7epT2KK57qiOvVCpoo1goACiKAtd1oaoq\nZFlGH92uvv3226jVavjqV7964vn292snvn+SZTLtKJXKFz7+UdlF1uXVqqitriE5cwW7BybKPyV4\npzI+hWLxCAe370LSNK6JIY9Nnvkaez8lDR7IjgPAudcWuC6O7j+Als3hwAJQKsPZ34dDxZckTUMt\n3Yt6qQxzZQVevY7E5JcbrlNfWoRvWUhMTPP3ih+QtSW6u+GbJozpGbi3P8XWTz+COzINdWwCePAA\nG+9/CrtiCosiGevO++R4OZXCzh75Wwp8H4d37iGRyeDI1wB6LX1iGrXbpAPSz46jVCojCALsf/Qp\nOSdNQLTcCEqlMnzLQmWRNOuUPrnHL739s0+AawR6kUbG+evFn/4Mxv/6ZbKe0Qngv3+E/I8/RMcv\nfhVHP6Lf59gkLZy+h/xPP0JXkkkMjKO68BDG8y8B+DHyP/oQHb/4S02/D/3KVdQ38jh6uAhJ13Fw\n5x7Unh64OzvY+Jf/C+k6oWA6/SQY7Xx8G4mvfC1yDm1klNNZg+w4nJ6wSCx3dMIvFbH2gx+i73//\nf/Dp303x47vQR8dQXljEdn63KWPqtL99dWwSwcMFbLz/aaSp6lHbSevSxydQm3+ArdWtpnNln9S6\nznLscXYqtNLW1oaqMLHF932ogqSq7/v4wz/8Q/zXf/0X/vRP//TCVLcvmpmLi4QfTCGK2jzJlpJX\nZuHukIELkUagmbP/COrsXAL8ca61rSwjsO0oT3xeoB1Oz/AiIXud6YhE1sFglStXIq9JqgqHwiNt\nL7wESFLImhDYF82mzTM4imlnAGTKj1+rNTyj1Cz9fzo4AaBNQxQX96skEKTpqDNzeQmB6yI1c4Ws\nR1EgJRIR7Fu8hrW0yOESXuegn+X3PjMrYP9CR+j0DBAEfD5oTXi+cWPfg7e/B2N0DPZmgTcvWQIL\nJdHfD6W9PcKo4eeYnCLBUJZhTEySpiuaoLG/s9odslsyJiYIxDX/gNwXHZ93EQthw9bBpJkefrzw\n+zTbqY78xRdfxHvvvQcA+Oijj3DlStQ5vPHGG7AsC3/xF3/BIZZLO92Y4+IOYH4ekqbBGBtHjXK1\nfT4RSD/zaLfA81B/OI/EwGBk8MJ5jE1qFzMoph0O0EJg/D5mGwNN6MzIPXr1Oqz1NRgTkyjfI/eY\nvnkT+ugYzOUl+LYdYtvz86jdvd1wTtYk1PGLIT5ee0jXEMv4mAaL0t5OBlUg6jCZnnnbSy9F1qvR\nVu7k5BSMqWnY+Q2Oyyd6eviU+8BxuEqiPjIK2TD4d1efn4ekG9BHRqANZ0kBUaQssiLm0SF5bz6s\nP8RNDB5KB9Ek14aJjIBfr3MeuiRJMKYoQ0XQiwfC9nu1qwuyrkOSJKRo0dSlz4EpIcoJDcbEJPmu\nmHb8g+MDzUnWipi00YJr+qx2qiN/+eWXoWkaXn31Vbz11lt4/fXX8e677+LWrVu4c+cO/v7v/x7z\n8/P4vd/7Pbz22mv4t3/7t8ex7qfe6g/uAYpCqGiVCuz8Bmk8UVWe5QZ0IhB7/Sxmra3CN00ueXoR\n485ZCNrVOwLdjjrMwPdRn59Hoi+DhLBV5+89nIfa28vfMxceEj789AyO7hIoJNHTSwIGzfrUzi5o\ng0OozT9opIgJuz3mfIEw8MQdOWtygRuyONjwYrm9ncjmaho0yuBgzkqSZbJbujLLnZ0YAFLXboTP\nig5/lhQFySuzcLa3Ya6vwd7aRHJ6GpKikALi1Ayc4jZc2pEZdhkSdoizvR2RpxVN7eyE3k/WyES8\n3P09/jwqn37MP8sTg7jj1SgvXgp/8uze/MNDQJYRmCZfQ/LKLM/gIUmN5zujqV3dUPv6UH/4sGUE\ntJJTM+SeTgieT5ud6shlWcabb76Jd955B7du3cLU1BS+8Y1v4JVXXsH169dx//59/O3f/i3efvtt\nvP3223j55Zcfx7qfavPNOh10OwHZMFCPZZS1B/cjDSlxB3WSMWeUvKAjJxn9QyQGB7lkrHuwD4+2\npENV+WBlO78Bv1Ztuj5rYx1+tYrU1ZAiWLtPsnq1pxdetcrXyI7nDvnqHGBbaDDG7NB0KJR7HgQB\n6vMPoHR2NUgRMPaLVynDPTpCEAR8TJpC702j3Zy+Y8NceIj0xDjnmCdnryI1Sx35/dCRpefmwnsS\n+eT0fo7+k+xgxWCauhJ1sEpbGxG0WlwIWSUPjncsXS8Q+MfO54ky4fwDKF1kgPThez8Mr0PZKCzA\nMGOzRr3DA57BM0dOngcppJepGBf7Thj7yVxavLDYVGp2Dn6temzj0+M2JZ0mc2MXF+BbTf7OnkK7\nbAh6Alabnwd8P8z26KSb5JVZODsluLu7ofY0oj+404w5ilQTqOMsZq6uIrDMCOYdoR0KuwP2ejNY\nhUEx4tpr9+5BUlUETKSKOfKZKwQnp84nJXRQygweErJxETKyC3l4R0dIzc011GfqD+5zLnh9/gFR\nRKR0Q79G6j5MDMtcXETguui8eYMEFEVBcmqa4MWaFpUmEJ5N/eE8520zp1+lzj0pBDH2b9HBpuau\nIXAcTis8Kevt+hIZnuHu7kAfHYW5sowUDSgi/qznRiCn0qjduxuhNNbu3SGyta4bziIdGOQKiOy/\n5Q/IGLnk9AygKKjdv4fk7FVy3AXb9cO/87unfPLxWerqHOB5zwy8cunIn4DVucMK/8AlTUNyajqK\njysKJN04s554FB/vvuDamjhgIetM3whpbSy7bRZo+D1SZ+NVKgRznZzivGLmEJW2tkiGJO4mDCop\nC8EpiewJtraU0BwEkM5Ua20V2gg5vnb/HqrC0GImOtX+5a/Q98l9t12ZgUmn5Mi6DklVkZyegV3I\n8w7HRG8vz2AD2+YZvD46CjmZJIqVyWRkWLUxNgY5mYzWGuhz8/b3KL4ezaJF67wR3p/a3UOGctBn\n49dqHHKRZBmpq1cJTk5nZnq1GszlZT7DlMNBksTrHaxewO5F1nUkp6aJ4iKVCbgoTs7+BljC0grG\n13S/ddb0WezSkT8Bq90nmakxNQ33YB/2ZgHJK7OQVJU7psB1Ac9Danb2zPi4ubxE8PGrF8fHq00c\nozjEgP3wA9dF/cF9JAYGkOjti5wjcF3U5uehDQ7xgFJ7cJ/gzrNXUX9wH8bgYEQnJTV3jWRIDx9E\nFPogN/6JOsVtDg/wzD/myNkPtP2Fl4gDvXsHNdoDIXd2Ep0Rw+DDlmv375OM1fPJbkko6DKHWxd+\n9Omb4Xg5BrtIskyCrudBn5jkHHeAYuizV+GUirwJJzl7FZBl1B7cJ+9tb/P34pbo7ESC8swZJdXZ\n2eE7lfL7P2lcL3Wc9fkHQBAQdUdh50OeG8XJj44ARUFgWVyMKzV3DQgCBAEZM3jRjFrt6oY2OIT6\nwwcX1jf/vC05fYU0K1068ku7iImZqaxpEUcU+D5qd+9EhKLiDuok49mpUIw7j/mWBXPhIfTRMSh0\ngo9dLIbT6g2DM0HM5WUSNASHx8xcWUZgmUiKWDL9wagdHfBNE10vfClyDDtP7e5d1O6GDsPZ2mpw\n5oFto75EoJD6/AMkBgYbiq1st5C+foM4yeI2qrcJf1yhMALTEvfNOhn2MDaO8n0CF6VFR06/g+ox\nO5Pqxx/yfzNWCbtG5B4ZvEK/cyWZhDE+DnNlGQajoQpF5bilnyPPzFxdBRIJEkhpXeDwhyFOzlr4\n2S6D/V20Pf8CwbsFbDg9F94ng6yOfvzfkfs2lxbJ/Nilxcgg6vNYcm4OgWWdqL/+OE02yE7XXFm+\n8D21kl068sds1bu3SXZEHQFzWulr12FtrBPVOQE6OI8jr965DUgSz7LOa/WH84RHLdIL74QUwNTc\ndc4fr1JqYGqu0ZHzgCIWOu+RAMWairqejzry5PQM2ZHcu4Pq7XAHwIS74s68dvc2zBUaTJo8o9rd\nu5BTKehj49wpB7SAynjk7V8mEri1+/cBz0P6xg0cfPQR+ZGLWuJj45Db2lC7c5vjzuK9scYnIBxS\nwTB40Xgh8q4Ir5CdCJNSEINF3NI3yd+MXz6CMTYOO7+B9JdIM5C1GjpIbWgYSlcXqnfvkOTgPoXu\nJqeQun6D7JgojJPIZKDSnZGk0zV8+AEAOjhEN1C7e5f8Tfg+YVtdwNjzqjahlD4pS127DgTBMwGv\nXDryx2w1mhWmbtxEEASo3rsDpa0dWjbHszGvXAYUBUpHB2dVnGZerUpmQU5OXbhbjWPegmOsCNlm\nmwgn3CXFs2YwTvX2J4Ash3oepRKcrS2k5q6hfu8uIMvovBndNciahuTMFVjr66gIUA5fjwi3SBKq\nt2+TwIXGYGcXi3B2SkhdnSOY8fXotTg+/tKX6XrJd6LnRmBubiF5dS4CZ0myjPTcNbj7e7A3SZOS\n0taGBJ2pCd9Hff4BcZqLC3RgROO8Sm14GGp3N2rUwQLga7PyG1B7elC7d+dYml5yZpYHNJ75d1Gs\n3nHgUq67JElI37gJv1JB9dNPYBdC6C5Nr1cTpDZYpu/s7NC15BF4HpEEnp0lapAUj6+esGM4yVJz\ncwRGuvPphY5/FMaTqdufnPLJ1rdLR/4YLQgCVO/chtLeAT03AntjHd7BAVLXb0CS5UhRkWSIz525\nU7Z2/34Dtnteq96+DSmR4FzkwPMiTArWTUiKZ0t0DmU0aHiVCszlZSSnpvk4M5ZhJ2dmebBR043B\nhjm1gG51GZPC90MeuJxM8ok8lY8+BBSlER+n12PPItE/AFDHrFAoQunsgtLWRr6T259ATia53nmz\nZ5iiolriDkWcTlS5/QmBlKpVJPoH4NeqDdN1JElC6vpNeJVyKO87NU0w/NufIjl3DX61euz0eVnX\nuQIjY99Yy8uQVEJVPfj3/8s/y5zU4X8SyIVh+snpGUi6wYMgEAqGwbZIl6fnoUabo9hx7iFpXBLv\n/zympNJITk3DXF7mzVVP2oyJScipNKq3P33q9ckvHfljNHtjHd7hIVI3iOOu0KG36eeeg2/WUX/4\nALLg4MSC2mnGMv309Yvh487uLmlKmp3j0E59cYHrj6t9GSRY48zd24DvN11f9QtksNsAACAASURB\nVA6FjoT3WLFUSqjkvWOCTfpmCLdIiQQCl1xbHDQMWeHZub2+huT0DA8YzCqffBI5n1+vA6zIRv+b\nvkGek7O9DXdnB6lr17mTavYMWZCJOEARJ//wQ36fbGRcM6fH4BH+TFQVqWvX8f+z997RdZVX/vfn\n3F4lXXXJltzAvUruBWxjg20wHWywzZA2JNPCGyaTSd4ZXlaSISGTTLKSoRM6BAKm2JhmY4N7tyz3\nXiRZvd3ezjnvH8+5R7pWseyAZf9+97sWC/mecvc5557vs5/97P3dsfp6bH3F+kNihtAZEoNH+PQp\njJ5Mggf363IF3k0b2+wdNkIUvSQIeeTotu8bOpRYbY2e1eIYOrTN00/EyRMDgHZccH85jqHDidXX\nEa2t7dK+7uAcNRpU9YoJr0gGA84RI4g3tc20rlakiPwyInAe2Qb2lYMk4RwxisDBg6jxuFjVNxhE\naKKH3rWqqgT27cXgdF5UF6Ek27RBxTWmjUz9Ze3CKu2aDwf2Jgag5Dg3JIeOQBTaBA8fwpJfoOcv\nO0eP7dQGS2Gh6E2KEHlStbhzvF4QjjEnR49vJ3D+YKJEIoSOHMLSp6+eFdO+1D8RVkm/bqa4Fs1e\n+9BhBA8ewFZYiKUTuWCzxyOaPh85rMfD7YOuQdIKk+JNjaLRg9FIxuw5YDTi31vW4TyOYSNEfnY7\nsna2u1ddHXf+vsTjWPv2RQkGcWjPId7YoIdljE4ntgEDUQIBTDk5WPLyOpwjsE/YYLDZ9d+NGkvO\nBjLn5GApKCR4+JA+IwuUd21fd3CMTB7ErgQ49PDKlRPyuRSkiPwywl+2Rydu2e8XVX0DB2F0ufSX\nQ42I/pz2QdfoPSovhMjZM8Sbm3GOGt2h1VpPEdjXkZz9WnEIgEvzMlVFIbCvHGNGRlIXHX3b/n0Y\n09P17JbQ0aOo0SiOkaPajuuigbQSCOgNHySjdh12u55Dnj5DyLW2Lw46P0MnePgQaiyWfB3tiVFR\nROqntpiZuO9Gmw01EiFz4viubhGuMWNRYzE9BCYZjbqHDWLGZR90DZbsbBHvP32KeEtymzOjwyFC\nDKdPEfeJ8IhD83pDRw53eVwClsI+GLWuPon7orbLukjMRgAsBUI6uD2JQ9szbr/+4S4R1x1vFCmN\nstert2hzjhqNGo3q3aq6G2i6g7WoGGN6ulg0vkLK9RNhpcTs+GpFisgvE+KtrYRPnhChALe7LQQx\neowgwPK9SWmHFxNWCWgvlktT8btYKJEIwUMHsRT20XPCo3V14qUGvVgJRK667PeJQeO8+H34xAlk\nnxfn6DH6toRXb87OQfH7cY0e22Xcv33YIpF2aNLSICWrlfSJonjH0C61Tz4vOyRBzC6NrFRF0e9P\n4v6aC/siGQxCSvjIYaz9+hPSlPAyx5fSFZxjxf1NWgAuSSb+RDgnMfD5O/FenaPGiBBDeZukr7Wo\nmNCRw3oWUGBf58QiSRLuUvGd4bNnwGQisK8ck/bcWj7/RN9XlQVZqtFY0jnMWdlYi4oIHT6EEg4l\nXRu0yRckSv8Tv8XwieNY+w8gdOzoJaXsSZKEc/QYZJ/vkqtEv26YMjKwDRhI6OgRZL//wgdcoUgR\n+WVCYN9eQdwJMtD6LbpGjxWa3l5vkr6Kc2xJp+fpDP69ZWLR7xLj48FDBzt4se1zox0jRulZHPqg\n0Ul4xF8m0tYScVxVUQiU7cbgcBJragTa4sedXoceC5eQfT5s1w7WQyGmDA/m7BwsffomhVcC7bzD\nxIDYPsQUPnVSV0xMdLK3FgpPNbBvn1hUHjuOQHkZBru92x6ntv4DMKalEdhbpnuUzpGjkmYIiQbN\nCWncQCfea+L+tO+56RpXghqPI2niVt15vYkwl+L1Yh80iGhVJS7t95LoT6qqqhD6kiTCZ8/olZ8J\nOMeK7wto2SuW3Fy94CghD+HdKvLJ7dcOxuBw4N+zR/xGZPmSQxFt177rko7/JuAaVwLaTPNqRYrI\nLxMSnqlrbAlKNEpg317MOblY+vbVf9SK3w+ShCW/AGthYY/OG2tuJnLmNI7BQzos+vXYtt0ihNI+\nC8O7fZv+t3uCSNNTVRXfrp1IFkuH+L2qqvh370ay2vQsksiZ0yLkM2YMwfK94rgu8uKVWFTPbjGm\ni9Q6a1GRHieXwyFUVRWebiLDQJII7NmtZxyET50k3tyMa8w4varSpzUVxmDQ88jjWkf6QJkgUkt+\nPvHGRpyjRmPopopWMhhwjhkrPEqNMI1Op97pHkTeOwhitBQWEjx4oIMwkyU/H0thH4L79+kKja5x\ngpwjJ08I9cdOjkvAfu1gJG1BWtL0zA1O7dnH44TPnCFScRa5qQlzbh5qONxBxyUxe0uaXYyfkHQN\nsdoalHBIpC2OGUu8uUkne3/Zbi4FjmHDkaw2/O2eW28j4TRd6jVdCUgR+WWAEokQPHgAS2Ehlrw8\nkUccieDSpsj+nTv0RT5UNWlh8UJIdD+/mGPaQ43H8ZftweTJ1OPG8dbWtoYFBoMepoieqyJWWyMI\n77y2XdFzVcTq63COGoVBa+ib8Dht/foTranGOXJUp11mQFQ0JjJkDFphii4GJUkora1EKs7ibDfY\noKrEGuqJVlZq90IbkLT7qqoqPm1ASuiMSGYLoaNHiDU3E9i/D3N2DpGzZ5OO6w4Jz9e/u82jtPZt\ny/X3tRsAXWNLUGOxTj09V0nCIxaeraVvX8w5OQT2leMcNw5VG+w7g2Qy6eGOaFWlKJ8/sB+j1iii\nccUH+uDsnjRF2LsnmaSs/fph8njE7ELL5HElwiuyLGR+afPK3drvK3quEnN2Dv69e/Xm0xcDg9mC\nc9Qokf2i6Z/3NiwFBZjz8gns33dJ13QlIEXklwGBvWWo0ahOtjrhlIwnUnFWF1lK4GJI2bdjO0jS\nJRN58PAhlGAQV0mpvlDanqQcw0foXWzOJ8r20LdpZKCqKr7dwntPaHC7x0/s+jo0AjRmZuppcZEz\nQsDJohWj+HfuaOsQ3y6c4du1Q/8+g82mzxYiZ84ga4uGiUpLx3ChH9K0aiVKKIRzXAl+bZaRSLXr\nDo7hIzDY7fh2btfDK3KgLV4c2L9PjzsnKkfb66AkkPDAE/dakiQxWwuHdX0a386dHY5LIEHQ8YYG\nrP36Ez55AqcWrw8e3C9mRyYTnhvmYHS78e/e1XbvEt9XOh4lGNTTAW0DBuoLqYl1iNb1X2rXPRLJ\nYsG/ezfO0vGokfAlF/fo176r6+u7nJAkSYS2IpErqmDpYpAi8ssA7w5BUu4Jk4UHvFfzgPv31+PC\nit8vFvcys5Km6t0h1tRE+MRx7IOH6NrhFws9rNKOnFu3bNL/Tps0Wf/bt2snksmke+gJqKqKd/tW\nJLNZJ/JIxVliNcJ7D+zZjWQ2d5quCIlZgfAYrUXFoCiYc3P1fPHcJQ8gWW34tm9ri6O3C6/4tm8j\nfOY08YYGnGPGYtDWGny7NAI1GvUCmqw77tSuWytD79efWF0tztFjOswyOoPBbMY1toR4U5OIv2uz\nLX1GJcv4tfRMS98i4emV7+0QJrEW99M82zJ9WyK0ET51EnNeHoHysi7DK85Ro/RCIGN6OqgqJk9b\n56LouSocI0dhdDpxlU5A9nk7qBcmlB99O8R9kgwG3JPF847XC+GsSEUFSjiMwWrFOWo0sdoaXY/e\nt2MHlwLXmDFIZjPe7VuvmPCKW1tI927bdoE9r0ykiPwbhhwMEtxXjqVPX6x9+hDYVy484PETBAnt\nahdWURTcEyf1uJozEVbpztPtDmo8jm/XTozp6XrrsXhrK5FEf0YtJgyibDtaVYlj5CjdQ09AJ+3R\nY/Rtvm1bARHPjdZUi3BMux6k7RE4sF9X9JO1lDyjJ1O3wXHNNbjGjiPWUI93y2Z99mJwukR4pa6W\nljWfa/dCi+crCt4tmwEwaQqHlj59sPUtxtqvP7K3FVNWFpGqyqTjegJXwtPesY1A+V6h395Oeter\nDYSSJOGeMFGESc5bvJQkCfekyaiRsL7NNnCQIPc9u0VYJhrtcgHOYLbozyZaWSnK38vLkwrK0iYK\nUk6QVPuwT+L7TJlZBPbs1ptGuMeLfZFlDC43qKpeHZo4T+TsGcw5YhCSL6Exg8FmxzlmLLGaGr1V\nXm/DWlSsDbplbZ2lriJckMgVReHRRx9l0aJFLFu2jDPadLc9QqEQixcv5sQVklJ0JcG/ZzdqPK5P\ns71bBbmkTZlK+NRJYrW1SZ5g2uQpPT63d9tWEcO+xLBKYN9elECAtImT9bCKb/tWfbtz1Gi9BD9B\nTp3ZlyBtt0YcqqLg275NaHM3imyVhPfXGRJEYcrOIXLqlKa5Il5wyWxGVVWdRJSAH/fEyZhzcvUQ\nBoB/t8iO0XOyjx9rC6toaWUZs+YAYC3sA4i4uW/bViSrLamq9EJwDh+BweHEt2MHrdrz9Cy4Rd8e\nPHhAT4vUn3u7+5qAW5vtJNQG28g9gtGViFFv7tKOtClTAZH7bRswkPCpk3p4BdALhezXXIvJk4l/\n986k7BUx0ExACYf14iDbgAF65yGjtoDa8tWX4rpHjxFhpe3bcJZOQI2Ead5xaeGRxG8l8dvpbUiS\nhHviJNRoNGkB+GrBBYl8zZo1RKNR3n77bR555BF+/etfJ23ft28fS5YsoaLiymjjdKXBp72I7gmT\nkIMBAnvLsBQWYi0qxrtZkKMSDIpslT59dXGiCyFSVUXk9CmcI0dh0pocXCwSHqtbIwSAli/X6X+n\nT58BaMS8bQsGu71D+qCqKPh2CNJ2jm4j0XhzE66S0rZtYztPO5SDAT2f2lJQIDTLhw3Xi1wS0qfO\nESPBKDJK3BMmkjZ1ml48hCShRiO4xo/XwyqJgQejURQaGQziGNALXWJ1tcSbGnGPn9CjsEoCksmE\ne8IE5NYWMdvqW4Rz6DBsCa9cG8gArH36Yi0qIrCvXC8ASsBa2Eds279Pz2FOEFzo+FGsRcWdHpeA\nc+QoJG2Wk/g/7dqxJVrdSQYD7gkTRTz8PA8/EWtvP4tInyYaW8e0UvxYTTVxnxeD2YKrdALx5ias\nmmBY3dp1XAqco0bpg8KVUhyUCCP6tAXeqwkXJPJdu3YxY4Z4oceOHcv+/ck6CdFolCeffJKBAwd2\ndvj/1YjV1xM8dBD7tYOx5OXh37kTNR4nbfJUEdbYvk1PI0NVL84b3yx0NdKmTr/Anp1D9vvx7y0T\ng4dWhRmpOEustgYQxTMJLzV4+BDx5mbcEybqGSkJBA8dJN7UhKt0gr7Nu3EDAJb8AuSWFtwTJ3U4\nLgH/zp0iFi5JxOrrRT9KLbSTKODxbd2kZVaIeKocCuneqMHp1OPlllxRWq/Eovi0WGeiwMk2YCAG\ni4V4SwvBw4cw2OzEtdlCguAvBmnTxDuBougEkHH9TH17+wExbdoMkOVOCcI9aQrIsu6xW/u0kbur\npEQc14XXKplMpE0RtkdOnQSzmUA7WYXG5e+02aDt5924PukctuJ+YsAo36t3QGr/m0porzR9vEps\n036joWNHsA0YSPOevV1WoXYHg9mCa7wYFK6UFnCW/AJsAwYS2L+PWHPnjbCvVFyw9Yzf78flaquk\nMxqNxONxTFq+bWnpxU3rPR4HJpPxwjt2gZwc9yUf+02iM7vOrhY//r4LbiQnx825LRvBYKD/gjn4\njh5BCQYw2KyoBgmQ6H/zjVizLnx9qixzavsWTC4X/efM0L3Qi7GtevsGkGUK5swiN1fkbZ98v41o\ncmdeR26BmGI37xKkWDRvDunnnatxu/Dk+t86H3eOm3ggwPGd27Hl56HWCSGi4gU3ktaJDTk5birX\nrwXAOWgggeMnyJw6meZtIvZfsGA+9eu+xLdtK55rB+oeeGTnFgbeeD2NI0fg3d+mGKlUniYnx039\n+o3tcsZF0+iBSxfjyXFT+dVqUBSypkykft1XGB0OiqeWJkkb9OQ3pmSNptJsRo3FKJo1DUeOm8w5\n11H7youokSjRygqcoRYcxUVkLJhDwztvE9y+hcH33510nvSFN9H4/nICmzdw7b23I0kS8fk3cvK5\nP2O3mpCMRoLbt8B9d3Vql/3W+exd9wVKMEjayOF49x9EstlQw2EiFWfITLditFggZziN1wzCv38f\naYYo1nbdmWI3zeHUCy+i7N9Fzm23Qo6bhsHX4j96DINBQgZ8WzYy/B+/B9PGU/9qLv4d2ym+fzGn\nXzqJvG8XBXfefsF7dj5sC+dTvmE94e2b6D+z505MT3EpXCHPn8uJp55FLttO4b13X/iAS8A3wWEX\nJHKXy0Ug0FYGrSiKTuKXgubmS+/GkZPjpr7+ypDAbI/O7FIVherVXyBZbaiDR1Gxaz/+Y8dwjh6D\nFxuVKz8GQAlrnVrGjcOrmKEH1+ffs5tYcwvps2bT2BIGul6c6dQ2VaXyo0+E5vmYCdTX+1CiUWrW\nrNX3sU6aTn29j7jPS8OmzZjz84nk9E06V9znpXHrdiyFfQh58gnX+2hZtxYlGsVeOoGmzz7FnJ9P\nOLOAyHk25OS4qdx9gOBpseaimITHrmTk6Gly9rnzcUfiNH38ERXL3xfhp4JCmnbsovp4BfYJU9qI\nXJJo2r6T6hNVnPtgJQAGdxqKz4vB7iDWdxB1dV7Ofb4GyWxGyRJ55Uo8Tl1Niz4Y9vQ3Fj51Us97\nr9y0A88NwnN1T5ikz0hOfbCK3PuWAAaco8fi37OLih3l5/VgNeIcOw7/rp1UbC/HPnAg0ogSJPOr\n1H65AfvIUQT2luE7eoywp6OYF+5szPn5xGpqCFaLUIgpM1NIHCgKR156g5w7BSE5pkzHf/wEp1Z+\nRtbNC/VTGEaWIJle5dynazBPmSlK6afOwH/0GLGmZiSTCdkf4OyG7TiGDcc1bQaN7y/H7wsjmc2c\n+/RzLNNmXbTOj+rJx9KnL41bt1N9sgqTO+2iju8Ol8wVw8YiWSxUf7YG6/VzL1m76Gu3i+4HgAta\nWVJSwvr1YjpWVlbG4MGDL8mI/9sQKN9LvKmJtEmTMFittH4lptrp188iWn2O4KGDuggRQIamxtcT\ntKwVutMZM2dfkm2hY0eJnjuHu3Q8Jq1BgW/HNr2K0tK3SE8x827cgBqPkzFzdodsGu/mTSDLpF93\nPZIkoSYyHAwGJEXt8rgEmr9YA4iS8NCJ45izc/Bt2ajZ0BejxUr6ddcDkkgtHDWajFmzQVFo3bBe\nz/wBRHhFkWn6+CO9kCjxvWnTpiNJEqHDh4jV1orY/dYtWmw9miyT20MkFmgxGmlZ94Ue5/XccGPS\nPon0wXQt7NKydk2HcyXEwBI520anE9f4CcTqanFo2vA1n3zapS2J70yEimK1tXouffvvc0+YhGSx\n0Lrhq6S4tNHlwjWuhOi5KtHfE5EJlVB2TCx+NnzwnrB32gwwGvFt20z29KnEamsvKTwiSZK4dllO\nkuDtTRjtdtzjJxJrqL9iQj49wQWJfO7cuVgsFhYvXsyvfvUrfvrTn7Jy5Urefvvty2HfVYuWL1YD\nkDF7DnIwiHfrVkyZmThHjdbjp4lFTlNmVo91UsQgcAD74CFYe9g96Hy0fik87/TrZwHCQ2/6tE1s\nKfPGeeJzRaH1qy+RLJYOcWRVlmn5Yo3YNlnEq0PHjhI5ewbnmHEir7yT4xKIB0P6QrB1wECIxXCW\nlCJrscm8B74FCLGtRH60Y9hw0qZMxWC307JurUiTbJ+HLEltBGsw6L1GMzXvs1lLUbQPHkK0sgLH\nyJEgSbR82TYT6Qlkvx/v1i2YsrNxT5govGHtpbcWFemqkGo0qldGOoaPwJyXj2/7tg6Ll47hI8Qg\ntn2rvuiZoT2b0PFjmPPyqN+wqcuGDGlTpupaOJLTBbKMRcvMUcNhAkcEORsdDtImTyXe0JAkUQyQ\nccNcoO13a7DZtEEUXTwtfOI4sdZWTBkZuMaMJVJRQdoIIbnQ2QDVE6RNmYpksdCy9oukgqXeRMYs\n4SA1r/68ly3pOS5I5AaDgZ///Oe89dZbvP322wwaNIiFCxeyaNGipP1ee+01Bg26NC3s/9MQqaoU\ni5xDh2HtW0Tr+i9RI2EyZs5GCYfxbt6YtMiZccOcHk/hEl1gMmbPuSTbYo2N+HbtxFLYB/vgIYBo\nrhvThPUlm00vTAns3UOsoR73pMkdOgH59+wi3tRI2tTpeml48+rPAJHCFm9sJG3K1C7bztV+vlos\nYEoS0epzSBYLYU2B0OBwYtdEr+KtLXplaPj0KQw2O2nTZiC3tlD/bpszYdDkbhOzikR1pH3wEExu\nN9HaGgLle7ENHKiTbuZNC3COHEX4xHFdK70naPlyLWo0iueGuXjOI0AAz03z9b+bPv0YVVWRDAYy\nZt2AGo/rqoIJSAYDGTfMQY1G9UHFNugasfC2twxXyQTUWKxtkDoPBputLe8+GkGy2fBt26L34qx7\n5c/6vhlzNHvXJJOUbdA1WPv1F2E7rbJW/42pqq6I2PjuX8U27bqbd+7GNnAggfK9RLUioouB0ekk\nbdp0Tc/9yhDSsg0YiO2aawnuL79qGk6kCoK+ASRGcs8Nc1DjcVq+WC1kWK+fReuXa1FCIRFfNRiE\n55PQ2b4A4l4vrRs3YMrMatPFuGjbPgNZxnPTPD300LDiA317xpwbMVgswkv/RCzWeubO6/oaNWKI\n1tURKNuDtf8A/YXMmD23UxvUeJzKd8U03TpgAHJzM+6JkwgfF91ssm69Td+3Zd0XoCgY0zPw7dhO\nrLFRJ5jImTPYBg7CMWas3vQ4gbimtihi1BrRqiquCZPw79qJtbgf9iFD8Wizj8S1XghKLEbL2jUY\n7HbSpl8nXvqBgwjsKyeiaYe4S8dj0Aa3eH2dXvadNm06BpuNlrVrOmh6pM+4Tsw01q5BicWQJAnP\n3JtAVZH9PowOB82rP+9UCyRWX69XYqqxmCh4am3FVZIQwaojWie2Wwv74BgxktDRI4RPn9bPIUmS\nGJRUVZ+5WHJz9cYLckisbXl3bEOJRcWMsP8AmrZtxzV+ojjus67DP90hERpq/vzSjv8m4Jmj2bRm\n9QX2vDKQIvKvGbHGBrxbNmHOyxchhm1biTc3kz7jeiSzWRCgyaTFdBXSr5vZY9XCljWfo0ajZM6b\nn9QcuKeQ/X5aN3yFyZNJmpY/HKmqIpTQATcaydQ8rdDRI4RPnsQ5dlwHJcbg4UOETxzHOXoMlnwh\nCdv86cdCpnfkSCKnTuEcV4K1T59O7fBu3aI3ClaCIZAk4s1aCpvJpBO1Eg7Rsm4tBpeLrIW3gaLQ\nvPozLLm5uv62Y/iIpIW79jDn5WMtKibe0kLrhvWYMrOEyJSqkjn/ZiRJErOm/gPw79ndI+/Lu3kT\nstdL+nXXY9QqTDPn36zpt3wEiLTAzHY21b//HqqqYrTbSZ91A3Jra4c0QIPNTvp1M5G9Xr2+wFU6\nHlNmFr5tW8idPRPZ5+00ltykEWBC2kEX0tq3F4M2I6p+/hl9f33wWrUy6TzuiZMwZWbSuv4rPRUx\n6+ZbxcZEY4l4nKYVK5Akicyb5oOqEq2pxpyTg3fj+ktKRbTk5+McM5bwyZNXTEd717gSzNk5eDdt\nuCpSEVNE/jWj6eNVIMtk3bIQFIWmj1aA0Yhn7k20blwvStBVVSzSmUxkzLnxwidFFM60rPsCY1oa\nadOvuyTbmtd8hhqJ4Jl7oz4QNHz4vr49fcb1GDXVu6aPVgAaSbWDqqo0ah585i3Cc47V19O6aQPm\n/HxCx49rx91CZ1BlmcYPNW+8qJhYTTWuklK9HZtn3gI9zNS8ZjVKIIDnhrmkT5+ByZNJ6/ovCZ44\npqcVBg7sxzZgIObzuuAAZGveeNOnH6PGYqTPnI1v6xbMeXm6towkSW1E/HH3XrkSi9G0agWS2Sy8\nZQ3OMWOx9C3Ct32r3s8y47qZSJqKY/TMaV1G1jP3JiSLRdiU6COqwTP3JiSzmaZVK4RXbjSSOf9m\n1GgUJRYX2z5LPi7W2Ih3w1eYc3LIW/Z3wk6/H+ugQURrqnFpEsSRUyeJarMUx/AR2AYOxL9nV1KJ\nvGQykTlvAWo0qnvH9muvxaY1FUnoojSv+QwlJkTgbAX5eDdtJG36dajx+CV71ZnagNH44ftXhP6K\nZDSSefMt4pp6OFvrTaSI/GtErLEB76YNmHPzcE+cTOumjcTq64TX7XTqpI4si9j4zFmYMzN7dO6m\nTz5GCYXw3DivSynY7hBvbaX5888wpqfri5yRigoCmmgWBoPuRQYOHiB46CCOESP1zkAJhA4fInT0\nCM7RY7BrRWCNq1aALOMuGU/o8CEcw0fo285H66YNuh64Eo2ItmLhkBjcjEaybxX5yHIwQPPnn2Jw\nuciYIwaezIW3okaj1L74AigK1v79iZw6iX/Pbv2c7WEwGIQ3/tU64Y3XnEONx8lccEvSmoRrXAmW\nPn3xbt1M4EzX2h/ejeuJNzWRPnO2HoMHEePOunkhtBvkDFYrmQvaBsG6v76FqqqY0tJIv24m8aYm\nWrQslQRMGRlkzJxNvKlJ99jTps/AlJlF/bovcU+eTLyhIem4plUrUeNxshbejq3/AH3RPFZdLfRX\nDh3Sqz6r//ePwl5JIku7z40rPkyyIW3GdRjTM2hZ94VeAZt9uxAaU0MhJLsdNRaj8cP3kYxGihYv\nAlkmWlODyZNJy7oviDU1dXkPu4J94ECco8cQOnaU0BXiladNmYYpO5vW9V9e8V55isi/RjQsf1d7\nqW5Djcdp+mgFksVC1s0LaV79mVDg06oYJYulg7fbFWJNjbSs+RyTJ/OSFzmbVq1AjUbJuuU2vRy9\n9i+v69sz5szF7PGgqioN770LQPadyQURqqJQry12JYggUlWJd/MmLAUF+LXy7+y77unUBiUapUGr\nNrT37yfS5MaWEDogcsEz59/c5o1/+glKMEjmvAV6CCN96nRMnkxitbVYCgrJe+BBkCTqXntZF91q\nj4Z33qb+/XdRYzHSpk3Ht2UzlsI+epVjApLBQPZdd4Oqcua1Nzq3PRyiwz16/gAAIABJREFUUXue\nmfMWdNjuKh2PtagY37YteuzZM+dGPcU0evaMrgmeueAWDDYbTSs+7NAyzTP/ZiSLhcaPVqCEQxjM\nZjJvWYgSjaLGZHHcyg9RwiGiNTW0btqAJb8At1ZxmXPvYmFvIIC1/wDidbW42oldhTWRMMeIUdgG\nXYN/zy5Cx47q328wW8i6ZSFqJELjh2JQsg8dhl1Lg0xkljSv/px4IEDOjGlYCgvxbd1M+vWzBMmv\naJvlXQwSv6n6d96+Isr2JZOJrFtuRY3HaXz/3d42p1ukiPxrQujEcXzbt2LtPwD3pMk0fbKKeHOT\ntrov0vukRGxcVfHMvanH0rON77+HGouRddsdl+SNR6qqaPnqS8w5uaTPEGGZwIH9hLWcYclsJmuB\n8MZ9WzcTOX0K1/iJ2M6T0/Vu3kTkzGnck6Zg6z8AVVWpf+tNUBSco0YTrTgrtnUhw9u0aqXQPdFi\n4pLZ3CYJYLGSddsdAERra2n+/FMxcM26oe0ERiOSXXiXBrsdW3F/XOMn6Gl50nlrDZGKs/g2bcTS\np69ogaaqZN91T6cZQs5RY7APHkLzjp2d5g83frQSubUVz03zO9W2kQwGnUTr//oXVFXFYLWS1W5Q\nq3vzddR4HFNaGp55C5D9vg6LrKa0NDLnLUBubaXxIxHDTp86HUdxEb5tW3BPmoLs89G46iPq/vK6\nCOPdebd+TdY+fXVSj1acBYuV4O7desis6ve/FfZKkm5v3VtvJhFn+nUzsRQU0rrhKyJVlWJfLUyl\nx8plmdqXXkAyGsm+8x5QVYJHDmEu7IN308ZLUjW09R+Ae9IUImfP6BIUvY20qdOxFhXh3byJ8OlT\nvW1Ol0gR+dcAVZape1N4t7mL7iPW0EDzpx9j8njIunmheFEiYT22afJkkrmg8xjy+QgePoR3yyas\nRUWXpAmiqip1b7wKskzO4vuRTCZRxfnSC/o+2Xffi9HlQg4EqP/rW0gWCzl3J3vVciBAw3vvIFks\nusft37NbhGCGDce7ZYvYduddndoRra3VSctSVEystRXnuBJiWqZH3re/q2fR1L/9Jmo8Ts69i5PE\nrHzbtxE7dw6D00n45An85XuTGuaqXTQEdowYQejAfhzDRnSpiS6I7T4wGKh9/dUklcBobY2YEWVl\ndTuLcgwbLsIDR4/g0xQNM6ZfhylXtEeTW5pp/FgsiHrm3oTJk0nz558SqUrulOOZtwBTVhbNqz8j\nWlODZDIx4LvfBlUlUnEWo8dD82efENSuqX2LPoCcuxeByYQai2HJzUX2+7ANGabZ0EKTlvNtH3QN\n7kmTiZw5TWu7xVfJaCT7nntBVal7/VVURcFW3E8fIBI9UANle/CfOIlzzFgcI0cROnRQdBJSVWpf\ne/mSvOrsu+5BslhoWP4ucruK8t6CZDCQs+h+QBuIr4CZQmdIEfnXgKoPVxI5c5q0KdOwDbpGTPXj\ncXLuWUzw6BFROdguyyRn0eIeqe0psSi1r70CkkTusm9dUrlw3RfrREx77Di9s3vjivd1iVdzfr7u\n9TYsfwfZ5yPrllsxZ+cknaf+7b8ge71k3rwQc2Ymst9P3RuvIplMSA4Hss9L1q236yJV7aEqCjUv\nPg+KgmSzEa04iyVb6GALGwpI03LXvdu3Eijfi33IUD2fHUTGTf1f/4JkNlPw3e8Lwn3pz4TO855d\nEycJ77NdNWnrurVIJhO5S5d1q/Vu69+fgvnziNXW6AtcqqJQ+/KLbQPLBWZEufctRbJYqHvrTeI+\nL5LRSMF3/l7f3vTRCqLV5zBYreQuWSY821dfSiIIg8UiBhVZFtotikLGmNG4SscTPnkCx7ARetON\nnMX3dbgmU0aGHhaLVlZg9HgI7NqhZ7U0vPUmspaumX3XvRjsdhreeTsptu0aPRbXuFJCx47qFac5\ni+7T4+0Gu5j9HPzF46Cq5N63BMlkonXjelwlpYRPntQLzy4G5sxMsm65Fdnnpf7tNy/6+G8CjqHD\ncE+YSPjkCVqu0HTEFJH/jYicq6LiL29jdKeRs+g+WtZ+QfDQQZyjx2AbOpTaV14UpKJ5485xJbhK\ne9bEoGH5O8Rqa8iYdUOXi4fdIVpfx8nn/4zBZtPzqUMnjtPcroqz4LsPIRkM+PeW0br+Syx9+urp\naQn4y8vwbt6ItbifSDkD6v7yushVnjCJwK6dWPoW6bm356Pli9V62bzB7gBVxZyeIXLpJYmin/wM\ngHhLM3Wvv4ZksZD3wLd0glI1D09ubSXr1ttxjhpFxqwb9CYUtBsUXeNK8cy7OaniU43FcJWMx5LX\niVbJeSheeh8mj4fGVSsJnTxJy5rPCR07iqt0PK6SC/f0NOfkkH37nSh+v/BmVRX7oGuS1BLPPfMk\najyOa+w4Qc4njnfI9nCVlOIqHU/o2FG90Cr3/qUYnE69IhbosvGEZ86NWLS0UTUUFvnooSAYjKAo\nnH3858LezEyy71mEEgpR++rLSRkjuUuWCpJ/969E6+owudPIvW+puIxQEEwmYs3N1L3xGpa8fDIX\n3iYcBBUMDgf1y98hWlN9wXvWwfYb52Et7od38yb85zXk6C3k3L8Uo8tNwwfLidbU9LY5HZAi8r8B\nSiRC9dNPokSj5D3wd8SaGmlY/leMLje5y/6OupdfRG5t1UnF6HKTt+zBHnUA8peX0bJmNZb8gi4X\nD7uDGo9T88JzKOEwuUuWYc7KRg4GqfrTH/R9Mm+5FVv/AcRbmql9+c9IJhMF33soKUc91thIzYsv\ngNFI/re+K7yuDV/h27YVa1Ex/vIycdx3/77T3PZIZQX174gKTFN2NnJzE7bBQwhoTUiy7rgbk9uN\nKstUv/AcSjBAzj2LsbRLJ/RuWI9/107s1w7Gc9N8VEUhXNlO/z7RpcZkovbVlzrkaAME9pcT00rN\nu4PJ4SD/298ThPvUn6hf/g5Gt5vcpQ/0uHNTxg1zsV87GP+unbRqcgy59y/VNUuiVVX6onHukgcw\npqfT8P5yEcfXIEkSuUsfwOh20/j+cnxHj2FKzxANOhQFyWxGcrtpeH95p7FbyWCg4Pv/JPTYwyFM\n2dnE6+r0TlCx6moatEXJ9BnX4xgxkuD+cpo/axvkTRkecu9fihIOU/3sUyixGGlTp+lFQgnnpPWr\ndfj37SVz3gJsAwfh37ML94RJqJEI1c8+nRSm6gkkk4n873wPyWSi5qUX9OYkvQmTO43cpctQo1HO\nPfNkly34egspIr9EqKpK7SsvEa0+R8EtC7Bdcy3nnvwjaixG3oPfpvWrL0XDBP3ll8j79nd1karu\nEK2ppuaF5wRBPvSDi2p6kLCt7s3XCJ84TvaMabgnT0WVZar++Hu9W461uB9ZC29DiUap+t8/Ivt8\nZN+9KKmxhRKLUv3Mkyh+P7n3LcFaVET49Gnq3ngNg8OBqqqogQA5i+7rtCGG7PNR+bvfgKJgcDiI\nNzRgzM3TF1mt/QeQpaXoNSx/h9DhQzjHjiN95iz9HKETx6l78zUMDqd4uQ0GGpa/Q/j8/pOTppC7\nZBlqKES0+lwH7RolGOTcU//boxfQMWw4GbNvQG5pBlkm79vfuyhlPsloJP9738fgclH/9puEjh3D\nYLXS559/qO/TsuZzvDu2Y0pLo+C7D4GiUP3Mk0kFNSZ3GvnffQhVljn86/8mcOgA3k0bwGhEjcWw\nF/cDWebcU3/qtBDHWlhI3tIHANGk2ZCRQejoYSyaRk/Tig8JHDyAJEnkf+fvMWZk0PDeu0mLvWlT\nppE2dTqRM6ep17KcCr77kL54mhi8q5/8E/HWVvK/+xAGhwPvpg04x4wjUnFWhBovMjfc2qcvOYvv\nR/H7xW8w1vvd7d3jJwrRu8oKal9/5YrId0/A+Nhjjz12Ob8wGLz0B+J0Wv+m479ONL6/nNYv12Ib\ndA2D/+UfOP7EfxOtqtIyS8zUv/0XkAy6N551+51k9KAUP+7zUvnb3yC3tpD/4HdwJryfi0Dz55/S\n/MkqrEXFjPiPnxKKyNS8/GeC2jTV4HRS/NP/wGC1UvPCc4QOHiBtyjSy77q7LZyhKNQ8+zTBQwdx\nT5lK9h13Eauvp/J3T6CEw1j79SNyWqwLZN1xVwdvVYlEqPjN48QbGgTxxONgsaAG/KCqGGw2+v/i\nV0iaemDjB+9hzs+nzw8f0SVlo7U1VP3+tyjhMIX/9C/Y+g+gdeN6PYURQ9v9VUIhDG633m801tSo\n56Yn9pFbW4hUVeIeP6HL9Qan04q/qZWGj1Yia3nURpcLx8hRPfbIQajoWYuK8W7djL9sN65xJVj7\n9MWY4dF7dPr37MI+bDiOIUORTCb8u3cRPHyItElTdIK05OaC0Yh/9y7RdSgep+D7/0isvo7wsaM4\nhg0nUnGW4NEjomXfebMia3E/YvV1RCsrUcNhJKsVuaUFg8uFGo3i27oF14SJWLKzsQ8YiHfLJvy7\nd+EcPQZTmsjOcQwfQWBfOYF95RjMZpwjRmIfPFQMKrIs1n/icbybN5J58y3iPFs3o4SCmHNyCR7Y\nj2QwJPU17Qms/foTb2wgsK+c6LlzuMZP6PEz+Ka4wjF8BIED+wnu3weqimPosIs6/m+xy+ns2qFL\nEfkloOnjj2hc8QHmvDz6/PPDVD37DP5Dh3BPnIxt0DXUvPCctqcgEPfkKeTc23FR6nwkSDxWU03m\nzQvx3HhTt/t3hpZ1X1D/1psYMzLo+8i/kZaXxennntc1sjGZKPrJzzDn5FD78ov4tm3Bfu1gCr7/\njxi0JtCJBT7fjm3Yhw6j4KF/QG5ppup/fkO8uRlr/wFETp7scFwCSixKxW9+TfSsloJmNOqLc8gy\nGAyMf/5popIZ7+ZN1L76Esa0NPr+6MeYtfBDrLGByv/+NXJLC7n3LyVt0mS8WzeLYiAQJK4omDwe\nMm6cT6BsN5GTJzCmp4tcZ1nG2q8fuYvvT5KpjdXWEGtowDVmbKdkbjOqHPvNfxM5cVx071EU0WA5\nFsMxbPhFkbklNxdjejr+Hdvxl+3GOXoszhEjiPv9oqOPquLbugX7sOG4J04S3XL2lRM6dlQMNhop\nm7Ky8W3agBqNYs7NJefexbhLSvHt3kXk7BnxPE6fInT8mJCfbUfmkiThGj2W4MEDomhKltsGVu25\ntH61DtekKdiKi/U+pv49e3COGo3J7UYymXCNHYtv5w78u3dhcDhxl47HXFAo7q2igMEg1B63bCb7\n7nswpaXj37UTyWRGslgJ7C1Dslr10E5PIEkSjpGjCZ04TnB/OfHGBpxjxvXoGXxTXCEZjbjGjMO/\nZxeBsj0XfU0pIqf3iVxVFBqWv0PTyg8xZWVR+P1/pPaVl/AfPChSsIYOo/bVl5KOcY4ZS8H3vo9k\n7L4rUrS+jqr/+S3Rc1VkzL6B7HsWXRRpqKpK06qVNLwjFl6LfvwTzJlZVD33DM2anjwGA30f+Tes\nfYuoef4ZfNu3YhswkD4PP4JRC98o0ai+zdp/AH1++CPijQ1U/vYJ4o2NWAoLiVZUYBs4kD4//BHG\nRK9IDbLfT8WvfilymLXvTJA3siwWN//zMTIH9qPqw5XUvf4KBoeDokf+TW+KHKk4S8Vvn0Bubib7\nzrvx3DiPps8/pe61V8Q5JUl49U4nxT//L6FeqIVr1GgMFFlvrqDKMp45N+p9QUFkckSqKgWZtyM9\n2e/n9H//hsCRI7jGlVLwvYdwl07Av7eMwN49yD4fzhEjLyp7yNavP5LZgn/3Tny7d+IYOoz0aTOI\n1dcTrawARcG7ZRO2gYPwzJ5DtKaa4P59BA8fwjlmHPGmRip/+wSyz4c5L59YXS3BwwdJmzwN9/gJ\n+HbtIFZbg7mgkMiZ0/px7cNxiZ6d/vK9oigtERJQVX1AbF27BvvQ4bjGjMHgdOLfuQP/ju04hgzF\n5PFgsNlxjBiFf/dO/Lt2gCSRMXMWnr75NO/cpctOqOEQrRvWk3vfUox2O4GyPRisFgxWK4E9u1EV\nBfuQoT3+bUtGI65xpQQPHSS4r5zouSqcY8Ze8H36JrnCYBPNuv17duHftRNVlnt8TSkip3eJXA4E\nqH7uaVGCn5dH7v1LqX35JaIVZ8maPhWcLppWJpc7uydOpuDvv39BgavAwQOc+8P/EG9qxDP3JpHv\nfREkroRD1L78Z1q+WI0pM4u+j/wYo9NJxW9+hW+fJohlMtH3kX/D7Mmk6o+/J3ToIPbBQ+jzL/+P\nLtoVa6in6ve/I3T4kNj28CMED+6n6o9/QPH7MXoyidfXYb92sCDx8wpwQqdPUfH4L3X9akAn3QRp\nFP1/v8Cam0f1yy9Rv3IlxvQMiv713/S+ob7t2zj31J9Q/H6y71lExg1zqXnpBVrOU9YzZmRQ9LNH\naXjrDbxfrROhAlnWFwLzljyAHAgQ3L+PeHMTnhvnC0EmjcRiNdX495bhHDkKo9NJ+PRpKn/3BOGK\nStxTplLwHbF4a7DZcJeWEjhwgOC+vSL9b/hIDOcNYN3Bfu21GOx2/Lt3CUG13Fyybl5IvKWFyNkz\nmme+GcloIufexcQaGwjuK8e7eaPouOT302/ZEjKXfVvbtg/fzu24xpaQMesGAnvLiNXVYvJkEq0+\nh2/XDuyDrsHkaScjYDKTNnmqaPSsyQInSDwRovJu2oCqQtb8mzFmZODfuQPv5k2YMjxYi4oxpaXh\nGjsOf9keAmW7idVU02/xPcRdGXq4CIQOe+u6L8iYOw9rcbGeZmp0OIU07LkqHCNGdNnH9XwYzGbc\nEyYRPnGc4P59BPaV4xwxskuJZPjmuUI04yglUF5GoGwPkcoKnCNHXbDt4jdF5JJ6mSP2f0urtt5q\n9eYvL6P21ZeRW1pwDBuOdcBAWj7/VDRSnjqNWOVZQmcrko7JvGUhWbfe0a33JodCNH74nshNNRrJ\nXbxEF7XvKYKHDlL72ivE6mqxDRxIwQ/+meCB/dS+/oqeVWB0u+n7438ndPwYDe+8jRIKkTZlGrkP\nPIjBbBYNJDasp+Gdt1DCYdKmX0fWbXfQ+P67eDdvEgORJIlS96nTyF32YNIPVo3HqX/vXVpWf9Ym\nCJaIT2sl3ZLNTr9fPo5cXy8WiWuqsfbrT+E//BPmrGziPi/1f30L35bNSFYr+d/6Dsb0DKqffUrP\neU/A2r8/mbfcSv2bbxBvasSYlo7sbdUbWXg3bRS2Tr9OeLybNwoZ4RnX07p5Y1LhkGQ2Yx86jOCB\n/aCqFC26B9vseR2emxwKUfP8MwTK92J0p5G7ZCmu0p7HbEEUUFW/8CxqJIJ70mRyFt2Pd9OGtpg/\nYOnTl7wHv0Pday8LkkekIo766b/S2BpBVRQaV34odHsMBjIX3EL69Ouo+fNzhI4ewWC3C0lfo5Gs\nmxfimb8giTDVeJzqF55tCzclyLzdszJl59D33/9fYhVnqX7+GZRgENe4UnKXLMOUkUG8tZVzT/2J\n8InjWHNzyVn2IKqqcu5Pf9Db3yXgHFeCc+w46t94DTUaxehOQ/Z5MWVmkffAgxe1BqTEotS98Tre\njesx2Gxk37NIqIp28o5dLq6I+7xUP/s0ocOHMHkyyfu7B3GOHN3l/t9Uq7cUkXeD0MmTNH74nnjJ\njUZc40oInz1DvK4Og8uFpbCPPqVPwOh2k/+d73X7MJVYFO+G9TSuEmXf5rx8Cr730Hm9HLtHpLKC\nxg8/ENrfkoTnpvnYBw+h7vVXiLcr7MgYX4J94lSaPl5F5PQpJKtNxJy1KtHg/n00vL+cyNkzGOx2\nsu+6ByUcpunjj1CCQSSLBTUaRbLayFuyDPeUqUkLoq3rv6LhvXf0ar/OYB8yjJz7ltD00Qr8O7eD\nJFFw83ycN98OskLL2jU0ffoJSjCAtV9/sm6/k+ZPP9YVA3VIEu6p05C9XoL7ynUFSWIxrEXF5H/v\n+1gLC4lUVFD9wrNEqyoxutw4Ro7Ev7cMNRTCUlCAajAS0zRHdBgMZC28jSHfWkJDg5/OoCoKLWs+\np+E9oaljHzKU7Nvv1HVIeoJobQ01f36O8MmTGOx2MuffjGXAQGqe/t8O99CUlY0aiyJ7vVjzcvHc\nchvuiZORjEYCB/ZT+/KLxJubMOfkkHnLbURrqkX6oKLoC5DmnByybr1dPy6B1o3rRbFZN1157EOH\nk33vIhr+8gahY0eRrFYyb5pPxg1zMVitYkD5ZJWQaNCyjRqXv9uxPN9kIm3KNEKnThKrrEDSmlYD\nOEePIeu2O7qUdegMrZs2Uv/WGyihENbifmTfcVeHxejLyRWqLNP40QqaPv4IZBnHyNFk334ntv79\nO+ybInIuz8ORgwECZWW0bvhKFxMy5+aiRKO6Z5jwKpIgSaTPnEX2HXd3qi+uqiqRM2fwbtkkWnr5\nfLpwlmfe/B5NM5VwCN/OHbRu3ED4+DEALMX9MOfmEdxfjhpua8JssDtwjhtH/MwpQlVCZ9s9cRLZ\n9ywGRcanTZujCRGl4SMweTz4d+1ECYfbvGrAPWky2XcvwqxN1SPnqmhc8QGBvWUdPLCkW2KxkjZz\nFrFz5wjuF4Ur1v4DyFl0Hx6Pk4rVX+LdvFFknDgc2IcMJXz2LHIn+d7G9HRMmZlETmk505onabDb\nybr1djJm3ZAUwkpIqjZ9/BFKOIxks2FKz9C1XdpfX3uYMzJwT7+O9OkzOlS3JhCtraHuL2+2XVNx\nP9KmTidt0mQ9La87qLJM61fraPjwfZRAAMlqxZSVJRQLz7PJnF+AOTub4MEDYnE3MxP3pCmkTZmK\nyZMpZnTr1oIsi5aBI0cROXOayJnTHe5f2tTppE+dhqVAFArFW1qoeekF4ah0A2NGBo5hIwju34fs\n8yJZrbgnTiJt4mQy8zM59tyL+rtiHzwUo8eDf/dOOP+3YTBizskh1twE0WjSM7AOuob0qdNwj5+I\n0dl1yCSBWHMzDe/+VZdCsPTpS9pUsW5gzsruldl7pOIsdW//RVdvtA8egnvSFNyl4/UuWr1G5Iqi\n8Nhjj3HkyBEsFgu//OUv6devn7597dq1PPnkk5hMJu666y7uvffebo250ohc9vmIVFYQOnGcwP59\nhE+e0DMsEt5otzAaybn+OlxzF2DOaXvxVUUh1tBA+MRxQseOEDx8mFid0Ko2utykTZ+B58Z53eaV\ny8EAkcpKQkePEDpymNDxYzpxSnY7xOMdidRsFgONpj1tsFiwjxyJ49ohxFtbCR053NbWTOsXKgf8\nSYNA4rrcpRPwzFuAwWbFv2c3gbI9hM+e0dupdXdPzDm5xBvqdX0ZS1Ex9muuRY1FCSQW3RChDdVg\nhEi401O1996SviLDQ8Z115MxZ26XsVJVVYmcPUPTqpUEDuzv2u5EeOH873C7sV87GNe4UjHQnSeW\nFTp2jKbPPhYLqVp4wj5wEPYhQ7BfOwRbv/76C6zbpChEa6oJnzwpNFl270y695LViuRwoLS0dOhH\nKlks4l5otlr69MUxZAjm3HzCZ0/j37lD/72aNHnkeCeSsqasbBzDR+DUdMnjgQD1b75G+MSJTge3\n9pDMFlRV0cN25owMbEOHY3A4CJ88QSRRnGQyYfJ4kJubO+iuJ65HXwBvD4NBl+N1DBmKtbhft41X\nwmfP0PzZJ/h27tDPZRswkKySMaj5RdgGDupU5OybgqqqBA8dpPnTj8XgC2A04hgyFMew4Qy8fQEt\nkZ6H49rjbyLyzz//nLVr1/LrX/+asrIynn32WZ5++mkAYrEYCxYs4N1338Vut3Pffffx7LPPkp3d\nUW8jga+DyFVFAUVBicVQZRk5FkWNRlAjUYjHUKIxlHAYORBADvhRgkFkvw+51Uvc24rs96ME/CKW\neCkNXyUJoycTy4CBmHJysJvBW9uEEgygBPzILS2o57+IBgNSfgHmwkKktAyQZdRoBCUcQgkERKFO\nJAxh7b+/tRGt0SheFu1edYW1Pi/r/F5mucSAss7vZZY7ndnuNNZ6W/nU10JcVTFJEvPcGczuYWGM\nfl53OrNdF/ZSL2TbbHcaWKz82d9KeX0tJpOJJTffxi3Tr0MJBFix7gtW7djKTcNGcGNhX5E7XV+P\nGg63nSctnbmFRaypqWJtS3PyNSe+oxMbPvWJmdg1FhsVsShFNhtHQkHiqsrorGz+qXQSst/PZ8eO\nsLaxPvlcJhPrggHWNjcwKz2T2ZpEQeK8ca2fp8loZOG1Q5kRjfNFXQ3r/F6KzBYqYtEubesUZrN4\n7rEYa72t3V5bEmw2jE4XqhwXCpUXWY2ZhESIoxNq6fBMewqrFYPDgdHpxOB0YUxLx+rxYHA6MbjT\nwGAgUlVJ6NhRYudVukoOB+acXCx5eZjSMzC53RhcLowuN0aHA8liwWC2iGpZsxnJYhZpk5KkDTgS\nkmQQf2v/9WRtJNbYgG/Hdnw7tuszpIKFN+O+7eIrtaF7Ir9gv7Bdu3YxY4bQiRg7diz797dNw06c\nOEFxcTHp2ohXWlrKjh07mD9/fqfn+ltw9LsPcvTCu10eqCpyUyMhzevt0dCkKKjnqoieq7rwvl8H\nejgQfOprIaKqOllFVJVPvc3Mdrn1bQCytk9PXz79vNq5LgXtbZvtToNohPJ6MauJx+O8teI9SnaK\nxhjvnjtLRFX5YPcOptbUdn6e1mZmO9180tzY8Zq7uLb29+BARAhNHQi2qfKVNzborfI+aajteK54\nvO3zpnpmFxZ3OC+KQlxRWHFoP9MLi/Vtie+7mPvenoA73L/uEA4jnz8ru1R04xtelE3tEYmgRCIo\n7Ro8dL0qc545wSDRM6eJnhdu6g1Ur1x1yUTeHS5I5H6/H1e76aHRaCQej2MymfD7/bjbxQSdTid+\nf+cLRQl4PA5Mpu5zQDvDFUPi/4chQSaRdi9fZ5919u+LPW8HSJJYgEt4PQYDksGIZBBeT6Sq7Rym\ntDTxebtxMKKqWPPzMBhNRKrO6J+ljRyJZDbpXlP7bZ7ScUn/bn+u9DGjUWMxlFgcJRZFiUT0ff+W\na+7uHl/M8ReLHj2Dy4wr0abLje4860vFBYnc5XIRaKcLrCgKJm1AU0PjAAAF00lEQVRR6fxtgUAg\nidg7Q3NzT8fRZAx+4eVeSz+8EK5Uu6AHts2f1enHg194udNtg194uWdf3O7Yzo7p0T1rd46B//PH\nDp8B9PvlEx0+z3/4X5PPs/KDtu/9wQ9hxQd0hrx//lFHu7q4P+2hX19X19zZ5xd536d9uPzif2MX\neAZfBy76t38ZbIIr9538phY7L1iiVlJSwnqtMrCsrIzBg9tSrQYNGsSZM2doaWkhGo2yc+dOxo0b\nd0lGppBCCimkcGm4oEc+d+5cNm3axOLFi1FVlccff5yVK1cSDAZZtGgR//7v/853vvMdVFXlrrvu\nIq+TbuYppJBCCil8c7ggkRsMBn7+858nfTZo0CD979mzZzN79sVVI6aQQgoppPD1IaVHnkIKKaRw\nlSNF5CmkkEIKVzlSRJ5CCimkcJUjReQppJBCClc5UkSeQgoppHCV47KrH6aQQgoppPD1IuWRp5BC\nCilc5UgReQoppJDCVY4UkaeQQgopXOVIEXkKKaSQwlWOFJGnkEIKKVzlSBF5CimkkMJVjhSRp5BC\nCilc5bgqifzEiROUlpYSuVAT4MuEYDDID37wA5YsWcKDDz5IbW3thQ+6DPD5fHz/+99n6dKlLFq0\niD179vS2SUlYvXo1jzzySG+bgaIoPProoyxatIhly5Zx5kzPuwJdDuzdu5dly5b1thk6YrEYP/7x\nj7n//vu5++67+eKLL3rbJABkWeanP/0pixcv5r777uPo0Surr1hjYyPXX389J06c+NrPfdURud/v\n54knnsBisfS2KTr++te/MmLECN544w1uvfVWnn/++d42CYCXXnqJyZMn8/rrr/OrX/2qgxxxb+KX\nv/wlv/vd71C6aQx9ubBmzRqi0Shvv/02jzzyCL/+9a972yQdzz//PP/xH/9xxTgtACtWrCAjI4M3\n33yTF154gV/84he9bRIA69atA+Ctt97i4Ycf5ve//30vW9SGWCzGo48+is1m+0bOf1URuaqq/Od/\n/ic/+tGPsNvtvW2OjgcffJAf/OAHAJw7d460tItoKvsN4sEHH2Tx4sWA8FasVmsvW9SGkpISHnvs\nsd42A+i+wXhvo7i4mD/96U+9bUYS5s2bxw9/+ENAvJNG48X34P0mMGfOHH1QuZLeQ4AnnniCxYsX\nk5ub+42c/4KNJXoL77zzDq+88krSZ4WFhSxYsIChQ4f2klWd2/X4448zevRoHnjgAY4ePcpLL710\nRdlVX1/Pj3/8Y372s59dMXYtWLCAbdu2XXZ7OkN3DcZ7GzfddBOVlZW9bUYSnE4nIO7bv/zLv/Dw\nww/3skVtMJlM/OQnP2H16tX88Y9/7G1zAHjvvffIzMxkxowZPPfcc9/Ml6hXEebMmaMuXbpUXbp0\nqTpy5Ej1/vvv722TOuD48ePqDTfc0Ntm6Dh8+LC6YMEC9csvv+xtUzpg69at6sMPP9zbZqiPP/64\numrVKv3fM2bM6EVrOqKiokK95557etuMJJw7d06944471Hfeeae3TekUdXV16syZM9VAINDbpqj3\n33+/umTJEnXp0qVqaWmpetddd6l1dXVf63f0vstxEVi9erX+9+zZs3nxxRd70Zo2PPvss+Tl5XH7\n7bfjdDqvmKnm8ePH+eEPf8gf/vCHXp3FXOkoKSlh3bp1LFiwoEOD8RQ6oqGhgW9/+9s8+uijTJky\npbfN0fHBBx9QW1vLQw89hN1uR5IkDIbejx6/8cYb+t/Lli3jscceIycn52v9jquKyK9U3HXXXfzk\nJz9h+fLlyLLM448/3tsmAfC73/2OaDTKf/3XfwHgcrl4+umne9mqKw+dNRhPoWs888wzeL1ennrq\nKZ566ilALMp+Uwt5PcWNN97IT3/6U5YsWUI8HudnP/tZr9t0uZCSsU0hhRRSuMrR+/OOFFJIIYUU\n/iakiDyFFFJI4SpHishTSCGFFK5ypIg8hRT+/3bqgAQAAABA0P/X7Qh0hDAncoA5kQPMiRxgLilq\naSUE1ZgaAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11f9a52d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.random.normal(0, 1, size=30)\n",
"bandwidth = 1.06 * x.std() * x.size ** (-1 / 5.)\n",
"support = np.linspace(-4, 4, 200)\n",
"\n",
"kernels = []\n",
"for x_i in x:\n",
"\n",
" kernel = stats.norm(x_i, bandwidth).pdf(support)\n",
" kernels.append(kernel)\n",
" plt.plot(support, kernel, color=\"r\")\n",
"\n",
"sns.rugplot(x, color=\".2\", linewidth=3);"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1.14944516e-18, 2.30044952e-18, 4.57686505e-18,\n",
" 9.05220657e-18, 1.77980226e-17, 3.47872421e-17,\n",
" 6.75926064e-17, 1.30559758e-16, 2.50697745e-16,\n",
" 4.78544652e-16, 9.08082811e-16, 1.71300800e-15,\n",
" 3.21236050e-15, 5.98852835e-15, 1.10980555e-14,\n",
" 2.04458242e-14, 3.74449540e-14, 6.81730821e-14,\n",
" 1.23385324e-13, 2.21995938e-13, 3.97061246e-13,\n",
" 7.05993858e-13, 1.24788709e-12, 2.19270704e-12,\n",
" 3.83015965e-12, 6.65095627e-12, 1.14810671e-11,\n",
" 1.97020478e-11, 3.36102257e-11, 5.69983701e-11,\n",
" 9.60913721e-11, 1.61041312e-10, 2.68300298e-10,\n",
" 4.44361023e-10, 7.31613497e-10, 1.19745281e-09,\n",
" 1.94834588e-09, 3.15140815e-09, 5.06727179e-09,\n",
" 8.09980741e-09, 1.28708176e-08, 2.03314581e-08,\n",
" 3.19272758e-08, 4.98409316e-08, 7.73466285e-08,\n",
" 1.19323936e-07, 1.82997310e-07, 2.78992666e-07,\n",
" 4.22835864e-07, 6.37062138e-07, 9.54163328e-07,\n",
" 1.42067454e-06, 2.10279735e-06, 3.09407753e-06,\n",
" 4.52580578e-06, 6.58099532e-06, 9.51301540e-06,\n",
" 1.36702282e-05, 1.95282929e-05, 2.77321629e-05,\n",
" 3.91502153e-05, 5.49433979e-05, 7.66527646e-05,\n",
" 1.06309256e-04, 1.46570066e-04, 2.00886355e-04,\n",
" 2.73707401e-04, 3.70726466e-04, 4.99173579e-04,\n",
" 6.68160101e-04, 8.89079168e-04, 1.17606487e-03,\n",
" 1.54651121e-03, 2.02164927e-03, 2.62717803e-03,\n",
" 3.39393986e-03, 4.35862724e-03, 5.56450150e-03,\n",
" 7.06209813e-03, 8.90988667e-03, 1.11748464e-02,\n",
" 1.39329119e-02, 1.72692377e-02, 2.12782249e-02,\n",
" 2.60632499e-02, 3.17360368e-02, 3.84156126e-02,\n",
" 4.62267949e-02, 5.52981690e-02, 6.57595252e-02,\n",
" 7.77387466e-02, 9.13581608e-02, 1.06730393e-01,\n",
" 1.23953793e-01, 1.43107528e-01, 1.64246487e-01,\n",
" 1.87396142e-01, 2.12547572e-01, 2.39652852e-01,\n",
" 2.68621026e-01, 2.99314912e-01, 3.31548947e-01,\n",
" 3.65088287e-01, 3.99649335e-01, 4.34901834e-01,\n",
" 4.70472596e-01, 5.05950900e-01, 5.40895492e-01,\n",
" 5.74843069e-01, 6.07318046e-01, 6.37843333e-01,\n",
" 6.65951810e-01, 6.91198100e-01, 7.13170246e-01,\n",
" 7.31500865e-01, 7.45877354e-01, 7.56050747e-01,\n",
" 7.61842894e-01, 7.63151643e-01, 7.59953841e-01,\n",
" 7.52306014e-01, 7.40342706e-01, 7.24272537e-01,\n",
" 7.04372161e-01, 6.80978336e-01, 6.54478460e-01,\n",
" 6.25299913e-01, 5.93898635e-01, 5.60747355e-01,\n",
" 5.26323898e-01, 4.91099954e-01, 4.55530695e-01,\n",
" 4.20045511e-01, 3.85040131e-01, 3.50870289e-01,\n",
" 3.17847018e-01, 2.86233615e-01, 2.56244221e-01,\n",
" 2.28043906e-01, 2.01750125e-01, 1.77435331e-01,\n",
" 1.55130552e-01, 1.34829686e-01, 1.16494295e-01,\n",
" 1.00058673e-01, 8.54349896e-02, 7.25183227e-02,\n",
" 6.11914407e-02, 5.13292070e-02, 4.28025241e-02,\n",
" 3.54817600e-02, 2.92396302e-02, 2.39535312e-02,\n",
" 1.95073450e-02, 1.57927490e-02, 1.27100789e-02,\n",
" 1.01688001e-02, 8.08764583e-03, 6.39448371e-03,\n",
" 5.02596888e-03, 3.92703754e-03, 3.05029091e-03,\n",
" 2.35531184e-03, 1.80795043e-03, 1.37960758e-03,\n",
" 1.04653937e-03, 7.89198988e-04, 5.91627588e-04,\n",
" 4.40901182e-04, 3.26636759e-04, 2.40557997e-04,\n",
" 1.76118708e-04, 1.28180550e-04, 9.27405610e-05,\n",
" 6.67034437e-05, 4.76933403e-05, 3.38998810e-05,\n",
" 2.39535318e-05, 1.68256514e-05, 1.17491153e-05,\n",
" 8.15585307e-06, 5.62813581e-06, 3.86091902e-06,\n",
" 2.63298125e-06, 1.78499000e-06, 1.20296989e-06,\n",
" 8.05943645e-07, 5.36766671e-07, 3.55383579e-07,\n",
" 2.33905331e-07, 1.53043128e-07, 9.95447805e-08,\n",
" 6.43656416e-08, 4.13733474e-08, 2.64373649e-08,\n",
" 1.67937089e-08, 1.06048865e-08, 6.65727312e-09,\n",
" 4.15448958e-09, 2.57732937e-09])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kernels[0]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.7352826 , 0.7171099 , 0.96283844, 0.22137047, -0.07936705,\n",
" 2.35623791, 0.16982373, -1.65983154, 1.38854404, -1.56926211,\n",
" -0.73055429, -0.60257736, 0.89826375, 0.78206761, -0.14125437,\n",
" -0.44724594, 0.2919698 , 0.42711494, 0.59431423, 0.1539176 ,\n",
" -1.53200567, -0.56955878, 0.78831908, 0.28275372, -0.58649792,\n",
" -1.16397748, 0.28894759, -0.2634361 , -1.50246105, -1.75745611])"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__累加之前所有的kernels,发现结果与之前执行kde预测的结果相似"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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YuXMnAO3t7bz88svs27cPk8nECy+8wOHDh5k3bx6KorBr165BfwDC+zQ0d/DFmUpCg3y5\ne0q42nFUMSE6mMyT5RSUNUq5i1tyOS2TnZ1NSkoKAImJieTl5XVvMxgMvPPOO5hMJgDsdjtGo5H8\n/Hza2tp4+umn2bBhAzk5OYMUX3ijT46WYnc4eeTeMeh13jmzOP56oReWyfHu4tZc7rlbrdbu6RUA\nnU6H3W5Hr9ej1WoJDQ0FYNeuXbS2tjJ37lwKCwvZuHEjq1evpqSkhGeeeYb9+/ej19/+7kJC/NDr\n+7+QscXinqvCS66+cZXr6rV2ss5UEhZiYvmC8fjoh6bc3e35sgDR4WaKKpoYMcIfnZu9yLnb83WD\nN+VyWe5ms5mWlpbur51O500l7XQ6+eUvf0lxcTGvvPIKGo2GuLg4YmNjuz8PDg6mtraWyMjbX62v\noaG13w/CYgmgtra53+MHi+Tqm97keuezC9jsTh6aE0NjQ0uPPzuUudQwZWwo+78pIftcFXGR7rPq\nlLs+X56a63YvDC5f7pOSksjKygIgJyeHhISEm7Zv2bKFjo4OXnvtte7pmT179pCRkQFAdXU1VqsV\ni8W7jmgQA6+huYPDpysYEWhk7lTPvKxvX0wZOxKQ67uLW3O557548WKOHDlCWloaiqKQnp7Ovn37\naG1tZerUqezZs4eZM2fy5JNPArBhwwZWrVrF5s2bWbNmDRqNhvT09B6nZITojb1fXqLT7uTRuXFD\nNh3jzqbEdZV7YVmjV52hK3rHZeNqtVq2bdt20/fi4+O7P8/Pz7/luB07dtxhNCG+U1HXwle5VYwO\n9WfuXbLXDmAJMREa5MuF8kacioLWi07kEq7J7o8YFj74oghFgZXz473yuPbbmRAdTEu7ncq6oXn/\nQQwfUu7C7V0ob+T0hToSooKYPm6k2nHcihwSKW5Hyl24NUVReO9wEQCr7h/nVdeQ6Y0JUu7iNqTc\nhVs7eq6aixVNJE+wMG6091z5sbfCQkwE+RsoKGtEURS14wg3IuUu3FZreye7D13AoNeSunCc2nHc\nkkajISE6mCarjZrGNrXjCDci5S7c1p+zirnW2smyuWMIDTKpHcdt3bi2TKEc7y6+R8pduKXSK80c\nOl1OxAg/r1gb9U7IvLu4FSl34XacToU/flqAosC6JQlee3Gw3hpl8cffV0+BlLv4HvmtEW7n0xNl\nFFVeY/akMCaPGaF2HLen1WgYHxVMXVM7V6+1qx1HuAkpd+FWymusfJBVRKC/gbWLE1wPEMD35t1l\n711cJ+Uu3Ean3cEbH53H7lD4u4cnEuBnUDvSsHFj0Wwpd3GDlLtwG28fKKCsxsp900cxfVyo2nGG\nlZhwM0Yfncy7i25S7sItnCu+ygeHL2AJ9iXtATmmva90Wi3jooKoqm/lWotN7TjCDUi5C9XVNrbx\n67/kodVq+fvlU/A1yOWh++PGvPuFctl7F1LuQmUdnQ7+zwe5tLTbeW7lNOJHySUG+uvG8e4yNSNA\nyl2oSFEU3vokn7IaKwsSR7FkTqzakYa1uMgA9DqtvKkqACl3oaK9XxZz9Hw18aMDWbNIDnu8Uz56\nHWNHBVJWbaW13a52HKEyKXehis+yy9n3dQmWYF/+54q7ZNm8AZIQHYwCXKyQvXdv5/I3yul0smXL\nFlJTU1m/fj2lpaU3bf/oo49YvXo1aWlpbNmyBafT6XKM8G7Hv63m7YOFBPob2JSaSJDZqHYkjyHz\n7uIGl+WemZmJzWZj9+7dbNq0iYyMjO5t7e3tvPzyy/zhD3/gnXfewWq1cvjw4R7HCO+Wc7GON/ad\nx2jQ8b9XTycsxE/tSB4lfnQgWo2GC2VNakcRKnNZ7tnZ2aSkpACQmJhIXl5e9zaDwcA777yDydR1\nOVa73Y7RaOxxjPBepwtrefWDXHRaDf+0chqxEQFqR/I4vgY9sREBFFddo6PToXYcoSKXBxRbrVbM\nZnP31zqdDrvdjl6vR6vVEhradSbhrl27aG1tZe7cuXzyySe3HXM7ISF+6PW6fj8Qi8U9i0JydTly\ntpLX9ubho9ey5X/czV3xtz4DVZ6vvrlVrukJFoqrrnG1tZNp44JVSDW8ni93MBi5XJa72WympeW7\nldWdTudNJe10OvnlL39JcXExr7zyChqNxuWYW2loaO1PfqDriamtbe73+MEiuboc/7aa1z88j4+P\nludXTyci0HjL+5fnq29ulys6tGuq63huFZFBvkMda9g9X2q701y3e2FwOS2TlJREVlYWADk5OSQk\n3HzI2pYtW+jo6OC1117rnp5xNUZ4j6PnrvCbD89hNGjZlJrYfRalGDzjo+QiYqIXe+6LFy/myJEj\npKWloSgK6enp7Nu3j9bWVqZOncqePXuYOXMmTz75JAAbNmy45RjhfY7kVvG7j7/F16BnU2oiY0cF\nqh3JK5hNPkRZ/CmqaMLucMpiJ17KZblrtVq2bdt20/fi4+O7P8/Pz7/luB+OEd7ly7OV/P7jfPx8\n9WxKS2RMhBT7UEqIDqa8toWSK82MGy2XdPBG8pIuBtwXORW8+XE+/iYffrpmhhS7CmTxDiHlLgbU\n4dMVvLW/APP1Yo8Jd8+jEzydlLuQchcDJutMJbsOFBDo58M/PzGD6DCz60FiUASbjYSHmLhQ3ojT\nqagdR6hAyl0MiNMXanlrf37XHvsTSURZpNjVlhAdTFuHg7Iaq9pRhAqk3MUdu1DeyK//cg4fvZaf\nrJ7G6FB/tSMJZGrG20m5iztSVd/Cr/acxeFQ+MfH7pLFNtzIBCl3ryblLvqtrcPOK+93raL01MMT\nmRY/Uu1I4ntGBvkyItBIQVkjiiLz7t5Gyl30i6IovPnxt1y52sqSWdHMmxapdiTxAxqNhoToYKxt\nnVTV9//yHmJ4knIX/fLpiTJOFtSSEBXEqgXxrgcIVci8u/eSchd9VljWyHuHiwjyN/DsY1Pl9HY3\nJvPu3kt+K0WfdNgc/N+/nkdB4dlHpxAsqyi5tYgRfgT4+ci8uxeSchd98v4XRdQ2tvPQ7BgmxISo\nHUe4cGPevaG5g7qmdrXjiCEk5S56reByA5nZ5USO9OOxlDi144heknl37yTlLnqlo9PBmx/nowH+\nbukkfO5g1SwxtGTe3TtJuYte+ctXxdQ0trFkdrRcQnaYibKYMRn15F9uUDuKGEJS7sKl6oZWDp4o\nY2SgL4+ljFU7jugjrVbDxJhgahvbqWlsUzuOGCJS7sKldw9dxOFUeHzhOIw+Mh0zHE2JGwHA+eKr\nKicRQ0XKXfTofMlVTl+oIyEqiJkTLGrHEf00ZUxXuZ8rkXL3FlLu4racToV3PruABkhbNB6NRqN2\nJNFPYSEmRgb6kl/aINd39xIuy93pdLJlyxZSU1NZv349paWlP/qZtrY20tLSKCoq6v7eihUrWL9+\nPevXr2fz5s0Dm1oMiayzlZTXtjD3rkhZKm+Y02g0TIkLoaXdTml1s9pxxBBwuUB2ZmYmNpuN3bt3\nk5OTQ0ZGBjt37uzenpuby7/9279RXV3d/b2Ojg4URWHXrl2Dk1oMuk67gw+/Ksbgo+Vv58ubqJ5g\n8pgRZJ2p4lzxVeIi5cXa07ks9+zsbFJSUgBITEwkLy/vpu02m41XX32Vf/7nf+7+Xn5+Pm1tbTz9\n9NPY7XZeeOEFEhMTe7yfkBA/9Hdw7LTF4p5rdQ7XXB9+WUSj1cbK+8cxPi50iFIN3+dLLX3JNc9k\n4DcfnuNCxbVBfzye8HwNpcHI5bLcrVYrZvN3S6bpdDrsdjt6fdfQ5OTkH43x9fVl48aNrF69mpKS\nEp555hn279/fPeZWGhr6f0lSiyWA2lr3+1NzuOaydTp492AhRh8d990VMWSPYbg+X2rpT66YsADO\nF9dTXtGI0TA4Rz550vM1FO401+1eGFzOuZvNZlpaWrq/djqdPZY0QFxcHMuXL0ej0RAXF0dwcDC1\ntbV9jCzU8nlOJU0tNh5IjiLAz6B2HDGAJseF4HAqFMjZqh7PZbknJSWRlZUFQE5ODgkJCS5vdM+e\nPWRkZABQXV2N1WrFYpHD6IaDjk4HHx8txWjQ8dCcGLXjiAF245DI83JIpMdzOS2zePFijhw5Qlpa\nGoqikJ6ezr59+2htbSU1NfWWY1atWsXmzZtZs2YNGo2G9PR0l3v7wj18frqCay02Hrk3FrPJR+04\nYoCNjwrCR6/lnJzM5PFcNq5Wq2Xbtm03fS8+/scr73z/yBiDwcCOHTsGIJ4YSp12J/uPX8Zo0LFk\nluy1eyIfvY6JMSHkXqqnvqmdkUG+akcSg0ROYhLdjp6/QpPVxoLEUbLX7sGmj+tayPxsUZ3KScRg\nknIXADgVhf3HLqPTalg8M1rtOGIQTYvvKvczRfUqJxGDScpdAHC2qJ6q+lbmTA5nRKD8qe7JQoNM\njLb4c76kgQ6bQ+04YpBIuQsA9h/tuqzEQ7Nlrt0bTI8Pxe5w8m2pXOPdU0m5C4oqmigsb+KusSOJ\nCjO7HiCGPZl393xS7oL9xy8DyHHtXiR+VBD+vnrOFNWjKHKVSE8k5e7l6pvaOVVYS0y4mYkxwWrH\nEUNEq9VwV/xIGpo7KKuxqh1HDAIpdy/3eU4FigIPJEfJ9dq9zPT4rgvCyVEznknK3Yt12h18kVOJ\nv6+eOZPC1Y4jhtjUsSPQajScuSjz7p5Iyt2LHf+2BmtbJ/dNH4VB1kb1Ov6+PiREB3Gp8hoNzR1q\nxxEDTMrdix06VY5GA/fPGK12FKGS5AlhAJwsqFE5iRhoUu5eqqiyieKqZhLHhRIabFI7jlDJzAkW\nNMDJfCl3TyPl7qUOZZcDsDA5SuUkQk1BZiPjo4O5UN4kUzMeRsrdCzU0t3Miv4bIkX5Mjg1RO45Q\n2ayJMjXjiaTcvdCnx0qxOxQWJsnhj0KmZjyVlLuXsTucfPJ1Cb4GHfdOjVA7jnADN6ZmLsrUjEeR\ncvcyORfqqG9qZ+7USExGWR1LdJk1MQwFyJapGY8h5e5lPut+I1UOfxTfSZapGY/jstydTidbtmwh\nNTWV9evXU1pa+qOfaWtrIy0tjaKiol6PEUOvvMZKQVkjiQkWIkf6qx1HuJFgs5GE6GAKy5uoa2xT\nO44YAC7LPTMzE5vNxu7du9m0aRMZGRk3bc/NzWXt2rWUlZX1eoxQx2enuvbaH5kbp3IS4Y7m3hUJ\nwFe5VSonEQPBZblnZ2eTkpICQGJiInl5eTdtt9lsvPrqq4wdO7bXY8TQa2nv5JtzVxgZ6MvMyfJG\nqvixmRMtGA06juRW4ZTLAA97Lt9Rs1qtmM3fLeCg0+mw2+3o9V1Dk5OT+zzmVkJC/NDr+399E4sl\noN9jB5O75DryRRG2TifLloxFp9W4Ta4fklx9M9C57ksczcHjl6lqbCcxIazft+Mtz9dAGYxcLsvd\nbDbT0tLS/bXT6eyxpPs7pqGh1VWU27JYAqitbe73+MHiLrmcisK+rCJ89FqSrq/A4w65fshdnq8f\n8qZcsyZYOHj8Mh99eYnRIf27LIU3PV8D4U5z3e6FweW0TFJSEllZWQDk5OSQkJDg8s76M0YMnrxL\n9dQ0tjFncjhmk4/acYQbix8VSORIP7ILamlp71Q7jrgDLvfcFy9ezJEjR0hLS0NRFNLT09m3bx+t\nra2kpqb2eoxQT+b1wx8fSJLryIieaTQa5k2L5L3DRRw9V80Dcu2hYctluWu1WrZt23bT9+Lj43/0\nc7t27epxjFBHVX0LeZeuMj4qiNgI95xvFO7l3ikRvP/5Jb48WynlPozJSUwe7lB2BQCLZkarnEQM\nF0FmI9PHjeRytZWiyia144h+knL3YG0ddr7KqyIkwMiM8aFqxxHDyI099syT5SonEf0l5e7Bvsqt\nosPmYGHSaPQ6+V8tem9SbAijLf6czK+Ri4kNU/Ib76GcisJn2eXodVrumz5K7ThimNFoNCyeGY3D\nqXRfj0gML1LuHirvUj01DW3cPTmcAD+D2nHEMHT35HAC/Xw4fLqc1na72nFEH0m5e6gbc6VytIPo\nL4OPjiWzY2jrcHD4tOy9DzdS7h6oqr6FvOKrJMjhj+IO3T9jNCajnk9PlNFhc6gdR/SBlLsHujFH\nKoc/ijtlMupZPDOK5tbO7quKiuFByt3DtLR3ciTvStfhjwly+KO4c0tmxeDvq+eTo6W0yiUJhg0p\ndw9z+FSUDbBDAAARHElEQVQFHTYHi2ZGodPK/15x5/x89Sy9O5aWdjufHLusdhzRS/Lb70E67Q4y\nT5ZhMupYkCjL6ImBszA5ipAAIweOl1ErKzUNC1LuHuRI3hWutXay4PqbYEIMFKOPjtX3x2N3OHn3\n0EW144hekHL3EE6nwv5jl9Hruk4+EWKgzZkUzrioILILazlbVK92HOGClLuHOFVYS01DG/dOjSDY\nbFQ7jvBAGo2G9UsmoNNq+MOBfNo65MQmdybl7gEUReGTY6VogAdnx6gdR3iw6DAzS++O5eq1Dt47\nLNMz7kzK3QOcK75KcVUzMxIsRI70VzuO8HCP3DuG0RZ/Ps+p5FRhrdpxxG1IuQ9ziqLw5y+LAVg+\nd4y6YYRX8NFreXb5FHz0Wt78+FvqmuToGXck5T7MnSmqp7jqGjMnWIgJl0sNiKEx2mLmiUXjaWm3\n88r7uXJpAjfk8ng5p9PJ1q1bKSgowGAw8NJLLxEbG9u9/dChQ7z66qvo9XpWrlzJ448/DsCKFSsw\nm80AREVFsX379kF6CN5LURT2fnkJDbB8XpzacYSXmZ84mtIrzXyeU8nr+87x/6y4C61Wo3YscZ3L\ncs/MzMRms7F7925ycnLIyMhg586dAHR2drJ9+3b27NmDyWRizZo1LFy4kICAABRFuWldVTHwTl+o\n43K1ldmTwoiymNWOI7zQE4sTuHK1ldMX6nhrfz5PPTxR7UjiOpfTMtnZ2aSkpACQmJhIXl5e97ai\noiJiYmIICgrCYDCQnJzMiRMnyM/Pp62tjaeffpoNGzaQk5MzeI/ASzkVhb1fFqPRwKOy1y5Uotdp\n+V8rpxEbHsCXZ6vYdaAAp1NRO5agF3vuVqu1e3oFQKfTYbfb0ev1WK1WAgK+m+f19/fHarXi6+vL\nxo0bWb16NSUlJTzzzDPs378fvf72dxcS4oder+v3A7FY3HO+ebByZR6/THmtlfuTo5g2MaLP473t\n+bpTkqtn//GPc9nym2/4PKcSpyab59Nm4HMHv8+DxV2erx8ajFwuy91sNtPS0tL9tdPp7C7pH25r\naWkhICCAuLg4YmNj0Wg0xMXFERwcTG1tLZGRkbe9n4aG1n4/CIslgNra5n6PHyyDlautw87vPzqH\nQa/lb+bE9Pk+vO35ulOSq3f+9+PTePm9M2SdrqCy1spzj04lJMB9Tqhzt+frhjvNdbsXBpfTMklJ\nSWRlZQGQk5NDQkJC97b4+HhKS0tpbGzEZrNx8uRJZsyYwZ49e8jIyACguroaq9WKxWLpd3hxs79+\nU0pTi42H745lRKCv2nGEAMDf14efps3gvsTRXCxvYsv/PcbJ/Bq1Y3ktl3vuixcv5siRI6SlpaEo\nCunp6ezbt4/W1lZSU1N58cUX2bhxI4qisHLlSsLDw1m1ahWbN29mzZo1aDQa0tPTe5ySEb1X09jG\npycuMyLQyENz5GxU4V4MPjr+33XJxIT58+6hi7y2N4+5d0WQ9sB4/H191I7nVTSKorjFux93+meJ\nJ/65dSv/54NcThXW8uyjU5g9Kdxtcg0EydU37p6rqr6F1/edp/RKM/6+epbNjWNh0mj0OnVOr3H3\n5+tOxt+KnMQ0jJy5WMepwlrGRwUxa2KY2nGE6FHkSH/+v/XJrL4/Hqei8M5nF/iX3x7j67wq7A6n\n2vE8npT7MNHS3snv9+ej03ZdmU+jkZNFhPvT67Q8PCeWjH+4hweSoqhvaue3H33L5t98w8GTZbTb\n5MqSg0UmwoeJtw9eoMlqY+X8sUSFyQlLYngJ8DOwdkkCD86O5sCJMr48U8l/Z17gz1mXuHdqBAtm\njJYT8QaYlPswcLqwlm/OXSEuMkDeRBXDWmiwibWLE1g2dwyfn6rgizOVHDpVwaFTFYyPCuL+GaNJ\nnhCGj14mFe6UlLubu9Zq460DBeh1Wp7+m8my6LXwCIF+BpbPi+Nv7o3lzMV6Dp+u4FzxVS6UNxHw\n2QVSpo1iQeIoQoNNakcdtqTc3ZjTqfDGh+e41mLj8fvHMTpUrtUuPItOqyUpwUJSgoXqhla+OF3J\nl2cr+fhoKZ8cLWVa/EgWJkcxJW4EWnmfqU+k3N3YX74q5lxJA9PiR7JktqyLKjxbeIgfjy8cx4r7\n4jj+bQ2HT1dwpqieM0X1WIJ9uX9GFPOmRWI2yfHyvSHl7qaOnr/Cvq9LCA3y5X88Mln2WoTX8NHr\nmHtXJHPviqTkyjUOnarg2Plq3j18kb1fXWLeXZEsmRVNWIif2lHdmpS7Gyosa+R3f83HZNTxk1XT\nZE9FeK0xEYE8vTSQx+8fx1dnq/gsu4xDpyo4fKqCGQkWHpodw7ioILVjuiUpdzdTcuUaL793BkVR\neO6xuxgth4cJgdnkw0NzYlg0M4qTBTUcOF7GqcJaThXWEj8qkAdnx5CUYJHFQr5Hyt2NFFU28Z+7\nz9DR6eDZR6cyNW6k2pGEcCt6nZa7J0cwZ1I4hWWNHDheRs7FOl7bm4cl2JdFM6NJmRaJr0GqTZ4B\nN5FXXM+rf87D1ulg499MkssLCNEDjUbDhJgQJsSEUFXfwsETZRzJu8J/Z15g75fFLEgcxQPJUV59\n1VQpd5UpisKhUxX8d+YFtFoN//jYVJInSLEL0VuRI/3Z8NBEHrtvLJ+fruBQdjmfHLvMpyfKmDUx\njAdnxxAb4Z6LdAwmKXcVtbZ38tb+Ak7k1xDg58P/+ttp8uaQEP0U6Gdg+dw4Hp4Tw9Fz1Xx6ooyj\n56s5er6a+NGBPDIvnolRgRh93G+FqMEg5a4CRVE4VVjLHw8W0mS1MS4qiGeXT/HqPyGFGCg+eh0p\n00cxb1ok50qucvBEOXmX6vmv3acxGfXcOyWC+xJHEe3h12iSch9iBZcb2PNFEUUV19DrNKy4byxL\n746RywoIMcA0Gg1T40YyNW4kdY1tZF+sZ//REj47Vc5np8oZFerP7IlhzJoURuRIzzv7W8p9CNgd\nTs5crOPw6QrOlzQAkJRgYeX8sR75j0oIdxMabGLdw5N4YMYozlys55tzVzhbVM/er4rZ+1UxURZ/\nEsdbmDImhPjRQaotKDKQpNwHid3h5OzFWr44WcbRc1e41toJwKTYEP52/ljiR8ncuhBDTa/TkjzB\nQvIEC20ddnIu1nHi2xpyL9VTXlvCR1+XYPDRMiE6hEmxIYwdFUh0mBmTcfhVpcvETqeTrVu3UlBQ\ngMFg4KWXXiI2NrZ7+6FDh3j11VfR6/WsXLmSxx9/3OUYT6MoCg3NHVyutlJy5RolV5opuNxIR6cD\nAH9fPYtmRnHftFFyLXYh3ITJqOeeKRHcMyWCtg47+ZcbOF/SwPmSq+Reqif3Uj0AGiBshB+x4Wai\nLGbCQkxYgk2EhZjcel1Yl+WemZmJzWZj9+7d5OTkkJGRwc6dOwHo7Oxk+/bt7NmzB5PJxJo1a1i4\ncCGnTp267ZihpigKCoACzuvLxSrKd99XFOX616CgYOt00ml3YLM76bQ7sXU6uj7anbR12Glu7aS5\nzdb1scVGXVM7tY1t2Ow3LxsWMcKP2VMiiI8MYGJMMD5673iHXojhyGTUM2O8hRnjLQA0NHdQUNZA\n6ZXmrv+qrRz/tobj39bcNM7PqCc4wEignw+B/gYC/QyYTT74GnT4GvVdHw06fA16jD469DoNep0W\n3fWPep2WYLtjUB6Ty3LPzs4mJSUFgMTERPLy8rq3FRUVERMTQ1BQ1xRDcnIyJ06cICcn57ZjBtqf\nPi3ky9wqnE4F+F5R3yj1QWYy6okc6Y8l2JeoMDNjIgKIjQgkyN/gtgvyCiF6FhJg5O7JEdw9OQLo\n2jGsbWzjSn0rNY1t1Da0UdPYRl1TO03WDirrWvp9X0aDjq1/N4vwAb4Qmstyt1qtmM3fTSXodDrs\ndjt6vR6r1UpAwHcnB/j7+2O1WnscczshIX7o+7F3GxcdzOVaKxpN17vjGq5/1HzvIze+/v7n330E\n0F7/2uijw+Cjw8dH2/254frnJqMPQWYDQf5GgswGAs1G/H31Pa5neruVydUmufpGcvWNJ+YKDwtk\n6m22ddqdXGvpoLG5g+ZWG20d9uv/Obo/b7fZsdud2B0KdocTu91Jp8OJyahnbMwI/AZ4isdluZvN\nZlpavntVcjqd3SX9w20tLS0EBAT0OOZ2Ghpa+xwe4N5JYTx6X7wKe8gKbdZ22qy3/wl33XOXXH0j\nufrGm3MFGnUEGvu2etSNXC3N7f26z9u9YLk83icpKYmsrCwAcnJySEhI6N4WHx9PaWkpjY2N2Gw2\nTp48yYwZM3ocI4QQYvC53HNfvHgxR44cIS0tDUVRSE9PZ9++fbS2tpKamsqLL77Ixo0bURSFlStX\nEh4efssxQgghho5GUZSheN/RpTv5c8mb/wzsD8nVN5KrbyRX39xprn5PywghhBh+pNyFEMIDSbkL\nIYQHknIXQggPJOUuhBAeyG2OlhFCCDFwZM9dCCE8kJS7EEJ4ICl3IYTwQFLuQgjhgaTchRDCA0m5\nCyGEB5JyF0IID+RR5V5UVERycjIdHR1qRwGgtbWV5557jrVr1/LUU09RXV2tdiQAmpubefbZZ1m3\nbh2pqamcPn1a7Ug3OXjwIJs2bVI7Bk6nky1btpCamsr69espLS1VO9JNzpw5w/r169WO0a2zs5Of\n/vSnPPHEE6xatYrPPvtM7UgAOBwONm/eTFpaGmvWrKGwsFDtSDepr69n/vz5FBUVDejteky5W61W\nfvGLX2AwGNSO0u3dd99lypQp/OlPf2L58uW88cYbakcC4M033+Tuu+/mj3/8I9u3b2fbtm1qR+r2\n0ksvsWPHDpxOp+sfHmTfXxx+06ZNZGRkqB2p2xtvvMG//Mu/uM2ODMCHH35IcHAwb7/9Nr/97W/5\n93//d7UjAXD48GEA3nnnHZ5//nn+8z//U+VE3+ns7GTLli34+voO+G17RLkrisK//uu/8sILL2Ay\n9W2Jq8H01FNP8dxzzwFQWVlJYGCgyom6PPXUU6SlpQFdezVGo1HlRN9JSkpi69atascAel4cXm0x\nMTG88sorase4yUMPPcRPfvIToOt3Uqfr+5rIg2HRokXdLzTu9HsI8Itf/IK0tDTCwsIG/LZdrsTk\nbt577z3eeuutm743atQoli5dysSJE1VKdetc6enpTJs2jQ0bNlBYWMibb77pVrlqa2v56U9/ys9/\n/nO3ybV06VKOHTs25HlupT8LvQ+VBx98kPLycrVj3MTf3x/oet7+6Z/+ieeff17lRN/R6/X87Gc/\n4+DBg/zqV79SOw4AH3zwASNGjCAlJYXXX3994O9A8QCLFi1S1q1bp6xbt06ZOnWq8sQTT6gd6Ucu\nXryoPPDAA2rH6Jafn68sXbpU+fzzz9WO8iNHjx5Vnn/+ebVjKOnp6cpf//rX7q9TUlJUTPNjZWVl\nyurVq9WOcZPKykplxYoVynvvvad2lFuqqalRFixYoLS0tKgdRXniiSeUtWvXKuvWrVOSk5OVlStX\nKjU1NQN2++rvggyAgwcPdn++cOFCfve736mY5ju/+c1vCA8P57HHHsPf399t/ky9ePEiP/nJT3j5\n5ZdV/WvH3SUlJXH48GGWLl0qC733Ql1dHU8//TRbtmzhnnvuUTtOt71791JdXc0//MM/YDKZ0Gg0\naLXqz0j/6U9/6v58/fr1bN26FYvFMmC37xHl7q5WrlzJz372M95//30cDofbLBS+Y8cObDYb//Ef\n/wGA2Wxm586dKqdyP7LQe9/8+te/5tq1a7z22mu89tprQNcbv4PxZmFfLFmyhM2bN7N27Vrsdjs/\n//nPVc80FOSSv0II4YHU/9tECCHEgJNyF0IIDyTlLoQQHkjKXQghPJCUuxBCeCApdyGE8EBS7kII\n4YH+f2nRUdmM3ZCiAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11fc29890>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"density = np.sum(kernels, axis=0)\n",
"density /= integrate.trapz(density, support)\n",
"plt.plot(support, density);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"为了对比验证,我们使用kdeplot绘制相应的结果"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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X2lROIvyZlLtQzeHTDTj6XSyfG4chRI7ab0j/8k3Vs5dbVU4i/JmUu1BFv9PFB5/XE2rQ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11fe2ccd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(x, shade=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"kde不仅与各种核函数有关,同时也与窗口大小相关,关于核密度估计可以参考文章\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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K6hSEsRBBLswand0hTnfo/e4c++j2VFw+T9984mCNp9/jZoMJDY2oGpvcIgVhHESQC7PG\nW0dakYwRADIsowvyxSVZAByv8/Z73KyYAQjHw5NYoSCMjwhyYdbYc2aQm0cX5DmZFrIzzByt8/br\nk5sVfUGtUEwEuTD9RJALs0Jnd4iTjd3kuxUAMkc5IpckiYriLHzBKE0dgeTjluSIPDL5xQrCGIkg\nF2aFfb1TCN05vUE+yhE5QEWR3l45Vt/XXhGtFSGdiCAXZoVDvTf1WB36XZqj7ZEDlM/VpypWN3Yn\nH0u0VsSIXEgHIsiFc56qahyu9ZCbaSGGPvd7LCPyObk2TEaZ6qYzg1yMyIX0IYJcOGcc7DjKqw27\nB9y8U93cTSAcY2lZNj1RH0bZgMVgHvV5FVmmNN9JQ7ufcEQf0SdH5OJip5AGRJAL54S3W/fzxL4f\n8sujz1HdXdvvuUO9c8CXzcumJ+LDYXQg9a4/PlrzCjPQNKht6QHAbBAXO4X0IYJcOCdUth5Ifvz3\n+tf6PXeouhMJfU64L+rDabKP+fzz52QAcKq3Ty5aK0I6EZsvC+eE6u7T2A02rAYLVe1HUDVVX2o2\nEuNEQxelBU4UY4yoGiPTnDHm85fk6z31+jYfIC52CulFjMiFGa8r3E1nyMO8zBIWuOYTiodo8rcA\ncKzOS1zVWFqWjTesj6YzzSMvmHW2vCwrJoNMfWsiyPUReUiMyIU0IIJcmPHqevSFsEozipmfWQrA\nqS69T36wurc/XubCE9a3bXONI8hlWWJOrp3GDj9xVT1jRC6CXJh+IsiFGa8zpN+ok2vNYV6GHuTV\nvUF+qKYTk0FmQVEWXb1BPp4ROUBRnoNYXKO5M5ic9SJaK0I6EEEuzHiesB7k2RYXBfY8TLKRup4G\nPD1hGtr9VBRnYTTIExqRg74pM0B9q09c7BTSighyYcbrDOntE5c5C1mSmeuYQ3OglaqaVgCWlulr\nj3tDepBnjeNiJ0CxW5/tUt+mz0WXkAjHxIhcmH4iyIUZzxPyIiElA7rYOQdVU3n7dDWgzx8H8EYm\n1lqZm9c3IpclGZNiFCNyIS2IIBdmvM6Ql0xzBoqsL4hV5NQ3VT7pqSPDbqKodyTdGfJiUSxYDZZx\nvU+GzUSm3UR9m75bkEUxiyAX0oIIcmFGi6txuiLdZFtcyceKHXMBCCudLC1zIUkSqqbSHmgnz5Y7\nofcrynPQ0R0iEIphVsziYqeQFkSQCzOaPxZA1VQyTH2LYBXa85GQkWw9LC3V2yqekJeYFp94kJ/R\nJzcrJjEiF9LCiEGuqip33XUXmzZt4qabbqK2tv86Fn/729+44YYb+MhHPsJPfvKTKStUOLdomkZV\n+2GOe04OWORqLALRIAB2ozX5mFExYoxlINt6WFKmryXeGmgHIM860SDX++QNbT5MipmI2IBZSAMj\nBvmOHTuIRCJs27aNO+64g61btyafi8fjPPjggzz99NNs27aNX/ziF3R2dk5pwcK54WRXDU/u/zEP\nv/MURzqPj/s8gZge5FZDX5BHYyqhLjuSEieq6HdztgTbAMizuSdQdV+Q17X5kxswR+LRCZ1TECZq\nxCDfu3cv69evB2DlypVUVVUln1MUhT//+c84nU68Xi+qqmIymaauWuGckbhhB/RQH69AVN9+zXZG\nkJ9s6CLWo89MSdzh2eJPBPnERuSFOTYkoLnDL7Z7E9LGiItm+Xw+HA5H8u+KohCLxTAY9JcaDAae\nf/55tmzZwoYNG7BarUOdCgCXy4bBoIy6QLd79BsApFI61pWONcHgdTUfa+77ONw87toN+gQS8lyu\n5Dn++lY9ao9+8bMuVIfb/S7q3q7DKBs4v2whRsU4ZF2j4c620eIJMt+u/7twZBpwOyfva5+O/x/T\nsSYQdSWMGOQOhwO/35/8u6qqyRBPePe7383VV1/NnXfeye9//3tuuOGGIc/n8QSGfO5sbreTtrae\nUR+fKulYVzrWBEPXdby9GofRjlE2cqK9htbW7jGvEQ7Q4tFvBlJDUvJ99hxsRg47sRmsVDUfo66p\njRpvPfMzS/F2hoDQhL5eeVkWqk51Eg3pvf3GNg9KaPgBzGil4//HdKwJZl9dw/1wGLG1smrVKnbu\n3AlAZWUlFRUVyed8Ph833ngjkUgEWZaxWq3IspgIIwwvFAvTEfJQ5JhDSUYRPVEf3ZHxfeMnLnba\nDDYA/KEoNc3dlM/JZFH2QjpDHl6s+wcaGuVZ8yal/oJs/b2iEf17XcxcEabbiCPyjRs3smvXLjZv\n3oymadx7771s376dQCDApk2buO666/jEJz6BwWBg0aJFfOADH0hF3cIMlli8ymXJSt6c4wl7x7VO\neCDW2yPvnbVyuMaDpum35S8svJB3Wvfz5+oXADgvd+lklE9hjj4FMaRv/ymCXJh2Iwa5LMts2bKl\n32Pl5eXJjzdt2sSmTZsmvzLhnJVYFzzLnIHNqI9uPaEuysaxBMrZs1YO1eizppbOy2Z+tpN5GaVU\nd9dyXu7S5BK3E5UYkQd7u4TiYqcw3cQOQULKec9YTtbeG+SJx8YqmGyt6EF+sKYTq9nAvEInsiRz\n+6ovcKqrNnnb/mQozNFr9vk1sIkNmIXpJ4JcSLmuSN+I3GHU2xSe3jXFx6pvRG6h1RukzRvigoW5\nKL3XahRZYaFr/iRU3SfTbsJqVujuietBLkbkwjQTVyaFlOvbci0DlyWr97HxjcgDsSAWxYwiK8m2\nSmK1w6kiSRIF2Ta83XFAbPcmTD8R5ELKJS52ZpkzyTDpLRDPeIM8Guzrj1f3BnnZ1AY5QEG2nXhU\nvx9CXOwUppsIciHlusLdyJKMw2hHlmQyTM7x98hjQWxGK6qqcbjWQ06GhTzX5MzpHk5hjg0tnghy\n0VoRppcIciHleiI+nL0hDpBhcuCL+MZ8nrgaJxQPYzNYqW3pwR+KJZetnWoF2TZQ9UtMYkQuTDcR\n5ELK+WMB7L0XOQHsRjsRNUpkjCPbYEyfyG0zWDlYnZr+eIIYkQvpRAS5kFJxNU4wFkpOOwSSH/uj\no1++AfpuBrIarRyq6UQClpS6hn/RJMlz2ZA00SMX0oMIciGlEtMFzwzyxBREX9Q/6GuGkhiRmyUL\nx+u7KClw4rSlZvVNo0Em22EHDbEBszDtRJALKeXvDevJCPLEOis+H8RVjfPmp6atklCQbUdTleQP\nFEGYLiLIhZTy9bZPzu6RA/gjYwzy3tZKh0efz718Xs5klDhqBS4bxA0EoqK1IkwvEeRCSvmTQX7G\niNyUGJGPtUeuj8ibWiNYzQrz54xjsZYJyMu2oqmKuEVfmHYiyIWUSga54czWSu/aJeNsrXR3w5LS\nbAxKar+d83tH5BFV9MiF6SWCXEipwXrkydbKWIO8d0RO3MDyFPfHAQqyrWhxhbgmNmAWppcIciGl\n/IP0yB3JIB9bayXYG+RazMjyFM0fP1NOpgVJM4AEUTWW8vcXhAQR5EJKJS5QDjaPfKytFV9EP1de\nRga5mVN/W/7ZFFnGJOvTHcVccmE6iSAXUioxVc96xq73BtmARbGMOcjbevTt4c4vK5y8AsfIZtR3\nOOr0ja12QZhMIsiFlOoLcku/xx1G25hbK96gDy2usKaiYNLqGyuHWf88mrzjW/RLECaDCHIhpUKx\nELIkY5T772liN9nxRf1omjaq86iqRiAWRFKNKZ92eKYMi/6bRat37It+CcJkEUEupFQwFsJqsAxY\nodBhtBNTY6NegOpkYxeaHMGqWJDlqV/tcCiZNv1CbWt3z7TVIAgiyIWUCsZCWBXLgMcdY5yC+Pax\nNlBiZFgdk1rfWOU69Pfv9IseuTB9RJALKRWKhwb0x2FsM1c0TeOdk41IEuTanZNe41hk2fW6PYGx\n9fcFYTKJIBdSRtVUwvEIlkGDfPS36de3+ZMzVhwm2whHTy2LwQxAd3D0/X1BmGwiyIWUCfXOWBks\nyB3JNclHHpG/XtUMhiigbyoxncyKHuQxLUp3IDqttQizlwhyIWWGmnoIZyxlO8KWb6qqsftQMxar\nPvq1Gqc7yHvXP1fitHSK9oowPUSQCykT6r37cbgeuT+xfsoQDtd68PoiLCjRAzxdRuSSLIJcmD4i\nyIWUSY7IB5m1Yh/leiuvVTUDUDo3PYLc0hvkKDFaPMP/EBKEqSKCXEiZxCJXg1/sHLlHHo7EeftY\nG7mZFpy9k1Vs091aMfS2VuQ4LR4xIhemhwhyIWWCw1zstPUGeWKN8cG8fqiZcDTOJcsLkkvYWtOk\ntaIY4rR0ihG5MD1EkAspExrmYqdRNmBSTEOOyFVN44U9dSiyxIaVc5NBPt2tFaNsQELCZNZo9QRQ\nxRREYRqIIBdSJhQb+mIn6LsGDXWxs+pUJ00dAS5amo/LaSbYO3Kf7taKLMmYFCOKUSUSU/H2iOVs\nhdQTQS6kTDA+9Igc9D75UCPy5/ecBuDda4sB0mZEDnp7RVL0DaDFBU9hOoggF1Im2SMfZNYK6EEe\njkeInbXbTl2rj0M1HhaXZFGSr1/lDMSCGCQFo2yc2qJHwaKYQdZrFlMQhekgglxImWDyAuXgQW5L\nzlzpP6r93c5TALznopK+c0WDWI3WAasoTgezYiKOflenmLkiTAcR5ELKJHrkg81agcGnIB497aHy\nRDuLirM4b35O8vFALIjNML3rrCSYFDNRNQpoYuaKMC0MIx2gqip33303R48exWQycc8991BaWpp8\n/o9//CM/+clPUBSFiooK7r77bmRZ/HwQBgrGQkhIfbe1n8XeG8yJ/reqaWx76QQAH71yQXL0rWn6\nphJua24Kqh6Z2WBCQ8NqkcWIXJgWIybujh07iEQibNu2jTvuuIOtW7cmnwuFQjz88MP89Kc/5dln\nn8Xn8/Hyyy9PacHCzBWKh7AYzMjS4N92Z4/I3zzUQk1zDxcuyeu3C1A4HkbV1GmfsZKQmEvuzjHQ\n5g2iqmIKopBaIwb53r17Wb9+PQArV66kqqoq+ZzJZOLZZ5/FatX/QcViMcxm8xSVKsx0wVhoyAud\ncGaQB+gJRPjli8cxGmQ+vKF8wHlg6F57qll7gzwny0AsrtHRHZrmioTZZsTWis/nw+Ho24VFURRi\nsRgGgwFZlsnN1X+9feaZZwgEAlx66aXDns/lsmEwKKMu0O2e3o0DhpKOdaVjTdBXVzgeItvmGrLO\nwojeA5fMcX73ag09gSiffv8yli3M63dcoHej4xxn5oQ+58n6emXXZ0ATFOSb4WCQkDqxc6fj/8d0\nrAlEXQkjBrnD4cB/xjZWqqpiMBj6/f3++++nurqaRx99dMRZBJ4x9BDdbidtbem3F2I61pWONUFf\nXZqmEYiGyMc0ZJ3xoP69c6C6kd1vB5lX6OSSpe4Bxzd42gGQYoZxf86T+fVSo/ovtgajPgXxWHUH\nxdnja/uk4//HdKwJZl9dw/1wGLG1smrVKnbu3AlAZWUlFRUV/Z6/6667CIfDPPHEE8kWiyCcLRyP\n6BcEh2mHJGahVNU2o8gSn752CcogF87T6WYg6Gut2O36DyIxl1xItRFH5Bs3bmTXrl1s3rwZTdO4\n99572b59O4FAgOXLl/Ob3/yGNWvW8MlPfhKAm2++mY0bN0554cLMEoonbgYa+hpKokce0UK8/5Iy\nityDb6ycWFgrXYLc0luHxaJf5BR3dwqpNmKQy7LMli1b+j1WXt538enIkSOTX5VwzhnNBcqmFv2m\nGrM1zvvWlQ55XHJEniazVhL7dqpSFKfNKEbkQsqJCd9CSvStfDh4+MbiKs88fwwtZiArU8KgDP2t\nGUy71or+wykUD5HvstHeFSIWV6e5KmE2EUEupMRwa5EDvLCnjoY2PxbFSpThVxBMl7XIExKfUygW\nJt9lRdU02rvEFEQhdUSQCykxXGvFF4yy/bUaHFYjbkcG/lgAbZh1vQNpsoRtgrW3tRKMBcnP1vv8\nzaK9IqTQiD1yQZgModjQFzv/9uZpQpE4m6+axzHTUer9MSJqdMhb+ccya0WLx4l1dhJtbyPW5UWL\nRtHicTS3i4CqYMjOxpRfgGQY/z+F5Ig8HmZBb5C3iiAXUkgEuZASQ61F3h2IsOOtejIdJq64YC6N\nx/SZKr6IH7N1iCCPBpElOXlr/Jk0VSVUfQr//n0Ejx8jVFONFokMOK71zL8oCqaCQmyLl2Bbtgzb\n4qXIpsEKkAH+AAAgAElEQVTfezCJu1VDsRD5ufoPFzFzRUglEeRCSgy1zdtfd58mHI3zkSvKMRkV\nnCY7AL6ojxyra9Bz6Ssf9l/CNtrWhveVl+h58w1ink79QUnCNGcu5qJijG43hqwsZJMZFAW7UaOr\nuYNoexvhhgbCdafxNtTjffEFZKsVx+q1ZF66HsuCBSPe5GZWTEhIBGMh8lyJIBcjciF1RJALKdF3\nsbOvHeILRnnpnXpcTjOXn18IgMOoB3lPxDfMuYLJtkqoppqOP/4B/75K0DRkm42MSy7FsWoN1ooK\nFJt90HO43U6UM+6+U6NRQidP4K86QM+bu+l+dSfdr+7EMn8+rve8D8fKC5CGWNVTkiQsBjOheBiL\nyUCWwySmIAopJYJcSInBLna+ur+JSFTl+suKMfauv+M09bZWhtjyDfQReUnATMNjj+CvfAcAy7z5\nZF31LhxrLkQ2jn3XINlo1Fsri5eQ++GPEDx6BM+LL+CvfIemJx7FXFKK+6ObsC1ZOujrLYol+Tnm\nu2wcq/MSjcWTn5cgTCUR5EJKJC92Jm6e0TReersek0HmshWFyeMSI/Khgjzk7+bitzxccKwJv6ph\nKV9A7vUfHjJgx0OSZWxLlmJbspRwYyOdf/oDPW/spv7B+7CvvIC8j9+IMTun32tsRisdQQ8A+dlW\njtZ5afUEmTvE3amCMJlEkAspEYzrc8MTN88crvXQ3hXishWFOKx9I2iHqe9i59n8VftpevqHrPYG\nCWVYmX/zLdjPXzml272Z58yh8HNfwLXxGtp+9Sz+yneoOXyY3A/fQNaV70q2W2wGKw3xJuJq/Iwp\niCLIhdQQQS6kRCgWxCQbUWS91bDrQBMA688YjcPgPXI1FKLtV8/StfMVUBTeWG7DsvFqViy7IDXF\nA5ayeRR97U66d/2Dtl9to+2XP8dfWUnBP38WQ5Yrud9oMKbf3QnQKi54CikiglxIiWAslOyPB8Mx\n3j7aRr7LyoK5mf2O6+uR60Eebqin6cnHiTQ3YSoqJvSRd7O7dTvX2lK/DrUkSWRedjn2886n5Sc/\nwr9/HzV3f4OCT38Wu0m/+BqIBcgXM1eEFBN3dgopEYyFkjfO7DvZTiSmcvGyggFtEYtixiAp9ET9\ndL+2i9Pf3kKkuYmsjddQ8l934XfrW74lVkqcDobMTOZ8+d/I+/iNaOEwjY8+TOnuU6Bp+KNB8lxW\nJPTWiiCkghiRCykRioXIsWYDsPdoGwCrF7kHHCdJEk6DnYp/nKL54F5kq5XCL30ZxwWrAX0bOACH\nYfqCHPQ6s666GsuChTQ+8Sh5uw7zgWoTgSVejJklZGdYxIhcSBkxIhemXDQeJabFsRmshKNxDpzq\nID/bxtzcgXO844EA17zYytKDHkyFcyj5+jeTIQ59QW43Dj4/PNUsJaWUfv1uwuVFzGuMID/5DDGv\nl/xsK12+CKFIbLpLFGYBEeTClAucMYe86lQnkajKmkXuAW2VWJeX+vu3kl/fTfUcEzlfuwNTfkG/\nY/wxfTbLdLZWzqY4HEQ+eQMHyi0oTW2c/u//R6mi/8BpEe0VIQVEkAtTLpRcdtbC3mP6Kidnt1Ui\nLS3Ubf024brTtJ1fyvbLM+mRowPO1TciT58gB7BZ7Lx0oZOODSuJdXSw/JWfURRsobFj6BubBGGy\niCAXplxiRG6WLew70U5OhoXS/L5ZJ6HaGuq2fptoWxvZ130Q7/suRZMluiMDN7BN1yC3G2wgSTRe\nXE7+pz+LHA2zufEFfG/tme7ShFlABLkw5RI7+vj8EAzHWX1GWyVw+BB1920l7ush7xM3k/vBD5Fp\n1memdIW7B5zLHw2gSMqgKx9Op8Ta6IFokMxLLyP7C7cRR6HkH8/Rvfu1aa5OONeJIBemXCLIOzrj\nAKwo129v9+3fR8Mj34V4jMLPf5GsK68CSAb5YCPynkgPTpNjSu/mHI/EbwiJpQXcq1ayfcG1RBQj\nzT/8X7p2vTqd5QnnOBHkwpRLLCbV1BbBZJBZWJSJb38lTU88CrLMnNtux7lmbfL4DJPedumK9B+R\na5pGd6SHDFP63fZuUSy989/77kg1lpTxi8KNyFYrLU//kK5Xd05jhcK5TAS5MOUSQe7xxFlU4iJ8\n6ABNTzwGsszcL/8b9qXL+h2fGJF7z2qthOIhomqMDFNGagofA0mScJqc+M5YWmCu206LJQc++SVk\nu52Wp3+E9++vTF+RwjlLBLkw5RJbsxE3slZu6xfig61amGFyokgKnSFPv8e7wj3J59OR02SnO+JL\n7jda1LtgVpPBRfFX/x3F6aT1mafx/v3l6SxTOAeJIBemXGIJ23medvJeeHbYEAeQJRmXJWtAkCd6\n5hnmdA1yJ1E1Srh3pcfEDU8N7X7MRcUUffVOFGcGrc/8hO7Xd01nqcI5RgS5MOUC0SBFLRE+dPoN\nJEVm7m23j7h+eLbFRU/ERzTeN5c8EeSZaTsi10fgPb1L8M5JBHmb3m4xz51L0Ve+hmyz0/yjH9Cz\nV0xNFCaHCHJhysVrmrju713IwJwv3YZt8ZIRX5NtyQKgM+xNPpYckadrkBt7gzyq12k1G8jJsFDf\n3ndTkLm4mLn/dgeSyUzT9/8H/4H901KrcG4RQS5MqcDpOi78yyEMcY3g+z+OfdnyUb0ux6JvvHxm\ne6U7nN6tlYzkiLz/Bc8uXwRfsO83C+v8+cy97d+QZJnGJx4lcPRIymsVzi0iyIUpE21v4+DdW7CE\n4+xYnUX5xstH/drs3iDvCHYmH/P0js4zTZmDvma6JXY36j4ryKGvvZJgW7SYOV/6Mpqq0vC9hwme\nOpW6QoVzjghyYUrEurzUf/cBIh2d7FyRxdF5LjJsplG/Ps+mr8XSEmhLPtYW7ECRFFyW9AzyTNPA\nO1ITM1dOt/oGHG9fvoLCW76AFgnT8MiDhBsbU1OocM4RQS5MunjAT/1DDxJtbcGy8b28vcSa3B1o\ntApseQA0B1qTj7UHO8ixupCl9Py2dfX29T2hvr5+WYHeBqppGniXKoBz9VryP/lpVL+fhofuJ9Ta\nOuhxgjCc9PwXIcxYajhMwyMPEamvI/OKqzhWsQ5JiZNhHtv64TajlUyTk2a/HmzBWBB/NECuNWeE\nV06fRJCf2dfPz7ZhMSnUNA9cNyYh87LLyf3oJmIeDwe/uYVY99DHCsJgRJALk0aLxWh84lFCJ0/g\nvPBi8j5+I/urWwDIto/9tvoCez6dIQ+hWJi2YAcAbmvupNY8mYyygQyTs1+Qy5JEWYGT5o4AwfDQ\nm0xkX/NeXO99H6HGJhoefpB4QOwuJIyeCHJhUmiqStMPvk/gYBX281ZQ8JnPElPhWIPe43Zaxr7s\nbIE9H4AmfzNtgUSQp++IHPSLtJ5wF6qmJh8rK8hAA063DN5eScj98EfIf/fVhE/X0vjYI6iRyBRX\nK5wrRJALE6ZpGq0/+wm+t97EurCCwi98CclgoLqpm6im3+VoM1jHfN75maUAnPBWU9N9GoC5jsLJ\nK3wKZFuyiGvxfis3lhX29smbhw9ySZIo/8ItOFavIXjsKE1PPYEWj09pvcK5QQS5MGHtv/01XTv/\njrm4hDlf/jdks75W+NHTHiRFbydYxnixE2BhVjkAxzwnOe49hUFSKMsombzCp8BgffLkBc8RghxA\nUhQKPvt5bEuX4d9XScvTP0JT1RFfJ8xuIwa5qqrcddddbNq0iZtuuona2toBxwSDQTZv3szJkyen\npEghfXX+5U94/vpnjPkFzL39qyi2vhbKkdNeMOg3woxnRJ5pdlJgy+NQ51HqehoozSjBpBgnrfap\nkG/tnTbp75s26c6yYjMbqGka3UVM2Whkzhe/jGX+fLpf30Xbr55NLsQlCIMZMch37NhBJBJh27Zt\n3HHHHWzdurXf8wcOHOATn/gEdXV1U1akkJ68f3+F9t/+GoMrm6KvfA1DRt/ystGYyomGLtw5BoAx\nTz9MuLzokuTHF+SdN7GCU6DQoff1G/3NycckSaKs0EmLJ0ggNHAf0sHIFgtzb/sKpjlz8O54ns4/\nbZ+SeoVzw4hBvnfvXtavXw/AypUrqaqq6vd8JBLh8ccfZ/78+VNToZCWut/cTevPfoLicFL0la9i\nzOl/EbK6qZtoTCXfrd8EZB3HiBxg/dyLuaRwLdeUXsUVRZdOuO6pVmBLXKBt6fd4WYH+Q652FO2V\nBMXhYO7tX8OQk0PH75/D+/JLk1eocE4xjHSAz+fD4eibOqYoCrFYDINBf+nq1avH9IYulw2DQRn1\n8W53eq6rkY51paqmzrf20vLD/0WxWlm+5S4c5QN/iO94R79LMdtlgHYozM0ed33/lveZCdU7lKn5\nejnJtmbRGmzrd/4Vi/L48+5aWrrDXD7C+/ary+3Edc/dHLjz67T+4hmyCnJwX37ZFNQ9vHT8fgdR\nV8KIQe5wOPD7+1ZvU1U1GeLj4fGMfn6s2+2krW30I5hUSce6UlVT4OgRGh5+EBSFwlv/lWCGm+Ag\n7/v24WYkwOEE2iHs02iT0udrNpVfr3xrHoc7j1Hd2IzDqN8I5Xbov5nsO9rKFSuGnnkzaF1GJ4X/\n+hXq79/KsYe/hz8uYV++YkpqH3VNaWC21TXcD4cRWyurVq1i5059r8HKykoqKiomrzJhRgnVVNP4\n6MNoqsqcL96KrWLRoMdFonFONHRTnO8gHNd3B3IYxz6PfKZKzKyp7uqbGOBymsnNtHCioQt1HBcu\nLSWlzPlyYsXExwieOD5p9Qoz34hBvnHjRkwmE5s3b+a///u/+Y//+A+2b9/Otm3bUlGfkCbCjQ3U\nP/wgajhM4ec+P+yI8GRDF7G4yuISV3KTBfssCvLyzDIATnX1n+FVUZyFPxSjsc0/yKtGZqtYROEX\nvoQWi9HwvYcIiwkGQq8ReySyLLNly5Z+j5WXlw847plnnpm8qoS0Em1ro/6796P6fOR/6jM411w4\n7PGHT+tzqJeUutjR48MoGzApo1/5cKYryyxBQuKkt7rf4xXFWbxW1cyxei9FeWNfsgDAcf5KCj79\nWZp/+H3qH36A4n//L0x5eZNRtjCDiRuChGHFvB7qv3sfca8X9z99jMzLRl5T/EitF1mSqCjOoifi\nx24c24JZM53VYKHYOZfq7tMEe/crBT3IoXd+/QRkrLsE9+ZPEO/qouGh+4l5J3Y+YeYTQS4MKdbT\nTf13HyDa1kb2dR/E9e5rRnxNKBKjuqmbskInVrMBX9g/q9oqCctyFqFqKsc8J5KP5busZGeYOVzT\niapO7AYf19Ubyb7ug/pvSw89QNw/vnaNcG4QQS4MKt7TQ/0D9xFpbCDr6o3kfOD6Ub3ueH0XcVVj\nSamLmBojGAvNuhE5wNKcxQAc7DiafEySJJaWZeMPxagdYQGt0cj5wPVkXvkuIg31NHzvIdRQaOQX\nCeckEeTCAHGfj7oH7yPSUE/mle/CvenjSJI0qtcertX744tLXPij+lTT2TgiL8soxmawcqjjaL/b\n65eVZQNwsLpzqJeOmiRJ5H3sEzgvvJjQyRN6mIfDEz6vMPOIIBf6ift81D94X3JjiLyP3zjqEAc4\nUutBkSUWFGXO6iCXJZkl2RV4wt5+uxwtLXMhAftPdUzK+0iyTMFnPptcMbHhke+KMJ+FRJALSXG/\nn/rv3k+47jSZl18x5hD3h6LUtvRQPicDs1HBH9X7to5Z2FoBWJqjz7M/2HEk+ZjTZqK8KJOT9V10\nByZnvXHJYKDwc18QYT6LiSAXgN4Lmw/eR/h0LRnrLyfvxpuR5LF9exw77UXTYHGpC2BWj8gBlmTr\nQX6441i/xy9YmIsG7DvRPmnvNSDMRZtlVhFBLhD1eKi/b2syxPNv+tSYQxz6zx8H6InqO8fP1hF5\nptlJsWMOJ7ynCMX6QvWChfpSt28fbRvqpePSL8yPHtFH5qHgpL6HkJ5EkM9ykbZW6r9zL5GmRrI2\nXkP+zZ8eV4gDHK7xYDLIzJ+TCUB3WJ+ZkWFKz4WNUmFJziJiWpxTXTXJxwqybRTnOaiq7sQXHHlZ\n26gao7a7jkh85GPPHpnXPXAfcZ9vIp+CMAOIIJ/Fwo0N1H3nXqLtbeR84Hrc/7R5TD3xM7V3BWlo\n97O41IXRoH9bdfeOyGdzkPfdrl/T7/F1ywqIqxp7jrQOfNEZIvEo39nzCPe99ShP7v8xcXXkrd8k\ng4HCW/6FjEsuI1xTTd199xL1eEZ8nTBziSCfpUI1NdTft7X3js3N5Hzg+nGHOMCBk/osjBXlfeuS\n94gROfN69x09eda6KxctzUcCdh1oGvb1L57emVzb/JjnBK837RnV+0qKQv6nPkPW1e8m0thI3Xe+\nTaSlZeQXCjOSCPJZyLevkrr7/5u430fezZ/C9e73TPic+3uD/Lz5fUHeHfEhSzI24/g2lTgX2I02\nCuz51HSf7jeadjnNnFeew6nG7iE3m1A1lX80vI7VYOWui76KhMRrjaMLctCnJro3fYycD36IWHs7\ndd/5tlho6xwlgnyW8b78Io2PPQKaxpwv3krW5VdM+JzRWJzDtR4Kc2y4s/pCuzvSQ6bFiSzN7m+z\n+RmlROIRGvz9R99XrSoC4MW99YO+7lRXLV2Rbla6l5Nvz2NZziJqe+po8Q/fjjmTJEnkXPdB3B/7\nBPHubuq+8238VQfG/8kIaWl2/wubRTRVpe3Xz9L682f07dm+eieOC8a2u9NQjpz2Eomp/doqmqbR\nE+khy5wxzCtnh/lZZQCc8vZvryyfn02+y8rrB5vp7B54e/3+9oNA316l57v1Pw91Hhtw7Ehc79pI\nwS1fSC6B6335xTGfQ0hfIshnATUcpumpJ/D87a8YCwoo+c9vYJ3EPVb3J/vjucnHwvEwETVKllUE\neXlvn/zsC56yJPH+S8qIqxp/fL12wOtOeKpRJIWFWfr/qyXZCwE4PI4gB8i48GKKvnYnit1O68+f\nofWXP0dT1XGdS0gvIsjPcZHWVuq23oNv71tYKxZRcufXMbrdk3Z+TdPYf7Idi0lhYVFm8vHuiN73\nzRQjctzWXBxG+4CNJgAuXpZPnsvKP/Y10tDet4JhKBamztdAiXNuci13lyWLAlsexz0nRzV7ZTDW\n8gWU/OddmObMwfviCzQ++rCYa34OEEF+DvPtr+T0PXcTrqsjc8MVzL39qyiO8W1oMJTalh7avCFW\nlOdgUPq+nTyhLgBy7a5Jfb+ZSJIkyjJK8IS9dIW7+z2nyDKbrlpAXNX4+fNHk8vb1nSfRtXUZFsm\nYYFrPhE1Sp2vYdz1GN1uiu/8OrZly/Ef2E/tPd8i3DB4n16YGUSQn4M0VaX9/35H4/ceRotEyP/U\nP5N/06eQjcZJf683D+kX3i5akt/v8c6wvtlBri170t9zJkrs41nTfXrAcysX5HJ+eQ5HTnv546un\nAJK7Cy3InNfv2MTfT5y1+9BYKTYbc2+7nayN1xBtbub0t7fQtevVCZ1TmD4iyM8xsa4uGr73EJ3b\n/w9Dbi7F//F1Mi9bPyXvpWoabx5pwWo2sPyMaYcAnpB+A0qOTYzIAeZlJoJ84PQ/SZL41HsX47QZ\n+fEfD3H0tIcTvf30s0fk5ckLpzUTrklSFPI2fYzCL34ZSVFo+fEPaH76R6iRyVnMS0gdEeTnEN87\ne6m9++sEqg5gW34epV+/G0tp2ZS936mGbjq7w6yqyE3ezZngCYkR+ZlKM4qQkKgepE8OkOkw8/kP\nLEPTNB59bh+nvLUU2vMHrFOTbXHhMmdxsqum3zrnE+FctZqSb3wLc0kp3a/u5PS9/49w4/hbN0Lq\niSA/B8SDQY5/73EaH38UNRjEveljzL3t9knvh5/tjcP6nYJnt1UAPGG9Ry5G5DqrwUq+PY/annpU\nbfCZIkvLsrlt0wWEDJ3EtCguuXDQ48qzyvBF/bQEJm/RLVNeHsX/8V9kbriCSH0dp7d8k84//xEt\nPr6LqkJqiSCf4QJHj1D7rW/Q+uJLmEtKKfnGt3BtvGbcC1+NVlxV2XOkFYfVmFy29kydIS92ow2L\nwTyldcwkZRnFROKR5C33g7lqTTHr1+lfs/37NP70es2A/T0XZOl98pMT7JOfTTaayL/pU8z50m3I\nNhvtz/2Guq3fJnBa3A2a7kSQz1Cx7m6af/S/1N+/lVhHB0UfvYGS//wG5rlzU/L++0920O2PsHZJ\nXr/ZKqDfWt4Z6iTbIkbjZ5qXuODZNfCC55lCRn2dcmssj9/+/RT3/fId2rx9UwTLExc8uyY3yBMc\nF6yibMu9OC9aR6j6FJVf+Rqdf/kTWiw2Je8nTJwI8hlGU1W8L+2g5r/+ne7XdmEuLqb4zv+i9MaP\nIxkMKavj5Xf0HuoVKwf+4PCEvETVGPm2yZuvfi5IzFypHmTmSoKqqZzsqsZlzuKeT17B6go3x+q8\n3PXDN3lxbz2qplFgz8NmsHJyEi54DkVxOCj83OeZ86XbMNjttP/219Te/Q38Vfun7D2F8Uvdv3xh\nwoLHj9H6y58TPl2LbLXi/tgnyLriKiRFSWkdLZ4AB091Uj43g+K8gX345t7erQjy/grt+ZgU06BT\nEBMau1vwRwMszV+Ew2rkix9azu6DLfxixzF+/sIx3jrSyqevXUx5VhkH2g/jDXeRZc4c8nwT5bhg\nFUUXr+Loj35K1ysv0/Dwd7GftwL3po9hKhi8hy+kngjyGSBUU0P7758j0Dsaylh3Kbkf+ScMmVP3\nD3g4f3uzDg24enXxoM+39G42nG/LS2FV6U+RFUqdRZzwVhOMBbEaBq4KebjtBADlvX1wSZJYt7yA\npWUufvq3o7xzvJ27fvQmKy7W21YnvNWsyV85pXUbM5zkf+JmsjZcSeuzv8B/YD/+QwfJuvIqst/z\nPgxZWVP6/sLIRJCnsXBDPR2//x2+d/YCYF20mNwP3YB1wcJpq6nLF+bV/U3kZlpYs3jwEXdiNkWB\nXQT52eZnlnHce4qT3hqW5y4Z8Pzhdj3IExc0EzIdZm798Hm8ebiVn79wjLffiWNeCofbTk55kCeY\ni4opuuP/w1/5Nm2/ehbvjhfo+vsrZK7fgOs912LMFlNNp4sI8jSjaRrBo0fwvPgC/sp3QNOwzC8n\n90M3YFuydLrLY/trNcTiKtdeXIoyxMyYRl8zEhJua+6gz89mi7MX8LfalzjiOT4gyFVN5UDzYTJM\nTgoG+W1GkiQuWprP4lIXP/nrQY6oe9h9+jBrHJ0sKUtNiEqShOOC1diWr6D7tV10/nk73pd20LXz\nFTIuXY/rPe/F5BY/wFNNBHmaUKMRet7YjWfHC0Tq9ele5rJ55Hzgg9jPO39Cu/dMlpbOAH+vbCTP\nZeWyFYP3R+NqnLqeeuY4CjApk78kwEw3L7MMo2zkSOfxAc/V9zTSFe7h4oI1w/7/zrSb+PKHV/LN\nnTtplxp44Nd7+MC6Cq67pAxZTs33iWw0krXhCjIvvYzu3a/T+aftdP39Zbp2voJt2XlkXXEl9hXn\nT/k0WEEngnwaaZpGuKaa7t2v0/PGbuK+HpBlHGsuxHX1RizlC9IiwEGv9ZnnjxJXNT6yoXzAlMOE\nBn8TUTWWnKEh9GeUDSxylVPVcYTWQDt5tr7fWg50HAZgaU7FiOeRJIl1Jcv4Y3UDGQVe/u/Vao7V\nebnluqVkOlI3d18yGMi8bD0Z6y6h56038b70IoGq/QSq9mPIziHz8g1kXHIpxuyckU8mjJsI8mkQ\naWul543ddO9+jWhzMwCyw4HrPdeSddW70vKb/h/7mzhU4+G8+TmsXjT0bJTEHGkR5ENbmbeCqo4j\nvNO6n2vKrgL0H5RvtbyDSTGyNGfxqM6zwr2MP1Y/z+IVEcLWXCpPtPPNH73J565bxrJ5qe1XS4pC\nxkXryLhoHaHTtXS98jLdb7xOx++fo+P3z2FZsBDnmgtxrlkrLo5OARHkKaDF4wRPnsC/rxL/gX1E\nGhsBkIxGnGsvxHnxJdiXLU/pPPCxqGv18YsXjmEzG7jpmophf0tI7F6z4KzFnoQ+5+cu5VlJYXfT\nW2wsvQJZkqnpPk1roJ1LildjNVhGdZ459gJyLdkc8R7l3g9+lH9Uuvj1yyf47rZKrl1Xygcvmzfk\nb05TyVJSiuXmT5H70U30vLmbnjffIHjsKKETx2nb9gusCyuwn3c+tmXLMBcVi/bLJEjP5JjhtHic\ncH0dwePHCR4/SuDwIdRAANDD277ifByr1uBYvQbFmt4bE3d0hXj41/uIxFQ+d90ycjOHrjccj3Ck\n8xgF9nzyxBzyIdmMNtYWrOL1pj1UtlWxKm8Ff6nRt167unz0K1VKksRFhav5U/ULvN26j3evvYiF\nRZn8z/9V8afXa9l3op1PX7uEeYXTs7mHYrWSteFKsjZcSazLi2/vW/TseZPg8WMEjx2F34LizMC2\ndBm2pUuxli/EmJ+fNu3EmUQE+QRpqkq0vZ1wXS3hutOEqqsJnTyBGurbg9GQnYPzoov1UcjiJcgm\n0zRWPHr1bT4e+tU+PD1hPnpl+bAtFYB9bVVE1Rgrcqd/dk2621iygTeb32bb0d9xsOMIBzuOsCBr\nHsvyKmhv9436POsK1/KXmhd5qe4frJuzlnmFGXzzUxfym1dO8EplI/f89C0uO6+Q69fPx+WcvnVv\nDJlZZF11NVlXXU2su5vA4YMEDlbhP3iQnjdep+eN1wGQ7XYs88qxlpdjLi3DXFSEwZUtwn0EIshH\nSQ2Hiba1EmlpIez34jl1mkhzE+G6OrRw/41zTYVzsC5ciHVBBdaFFRhyc2fUN2JcVXlpbwO//ftJ\nIjGVj1xRznsuHL7nrWoqL9S+gizJXDrnohRVOnPl2/P4yMLr2Hbs9+xuegun0cFNSzaN+fvEZcni\n4oLVvNa0h12Nb7B+7jpsFgM3v2cxFy7J52cvHOMf+5t441ALl55XyLtWFzEn1z7yiaeQISMj2U/X\nNI1IQz2Bo0cInTpJ6NTJ5MXSBNlqxTRnLua5RZgKCjC63Rhz84jZ5w3zLrPLiEGuqip33303R48e\nxXP7EHcAAAmCSURBVGQycc8991BaWpp8/qWXXuLxxx/HYDBwww038E//9E9TWvBk0mIx4j4fcb+P\neE+P/rFP/zPm9RLr7CDm8RD1dKL6BhklyTKmgkLMxSWYi4sxF5dgKSlFcTpT/8lMkKZpdHSFeP1g\nM3/f10hndxi7xcDnrls24khc0zT+cPKvNPqbuahgNblWcWPIaFxedAmlGcU0+Jo5L3cJTtP4lh1+\n3/x3805bFb89/kfybXlUuMoBWFzq4lufWcuuA81s31XNy+808PI7DcwrzGBVRS7L5mVT5HZMSx89\nQZIkzEXFmIuK4V0bAX1BuNCpk4TrThNuaCDSWE+o+hShkyf6vbYWUJxODFkulMxMDJlZGDIzez/O\nRMnIRHE4UWxWZKsNyWSaUQOqsZC0EVanf/7553nppZfYunUrlZWVPPXUUzz55JMARKNRrr32Wn7z\nm99gtVr52Mc+xlNPPUVu7tA3grS19Yy6OLfbmTxei8XwH6pCDYYgHkeLx9DicbSY/rH+WO9/0Qhq\nOIIaDqGFw6i9//X/ONSv/THkF8hkwpCdjdGVjdGdhzE/n9yF8whaMjC63VOyfdp4nPm1Gq03D7dw\nvL6Lzu4QNc09eHrCAJhNCpctL+S6y8rIsA3fBmoNtPP0wV9S21NHjsXFnWv/FZvRNqG6UuFcq+tA\n+yH+98AzqJrKItcC3jd/I/Mzy5LPx1WVyuPtvPxOA0dqvai9/+yNBpk5uXbysqy4nGYsJgWLyYDJ\nKGMzG7hwST75+RnT/rVSo1GiLc1EWluJtrUSbWtD6urE39hEzNs14LfiQSkKitWGbLMhW63IFguS\n0YRsNCKZjPrHvX9KRiOySf8TRUGSZJBlJFkCWdEv0Mpy759S75/645mZVrzeQO+bapBIWEnCVlGB\nbBnfdTG3e+gB4ogj8r1797J+vX4BZuXKlVRVVSWfO3nyJCUlJWT2rvmxevVq9uzZw3vf+95xFTqc\nnrfepPkH3x//CSQJ2WxGMpuRTWbkDCey3YHicOg/tRN/Oh0odgeGrCwM2dn6T/KzfornpGkIjEVc\nVfnxn48QjuobBzhtRlZXuFk6L5uLl+ZjNY+u69YWbKfO18B5uUvZvOhD/UJcSJ3zcpdy2wW38Nvj\n2zniOc68jpJ+Qa7IMqsX5bF6UR6+YJQDJzs4Xu/lZGM3DW1+apsH/34ucjvIz5+ei6Vnko3GvpF7\nrzN/6KmhELGuLuLdXcS6uoh1eYl3dRH3+1GDAeKBIGowgBoIEA8GiHk9aFO0pd1weyu5Nl6De9PH\nJv09R/zX6vP5cJyx04yiKMRiMQwGAz6fD+cZbQS73Y5vsBbEGYb7qTLc8e7rrqH8umvG9NqpNNbP\nIxXGWtNvtr5/wu95hXstVyxeO+wx6fi1gnOvLrd7BesWrhj5OGBeydjaX+n/tXJC8eydKTVic8zh\ncOD3+5N/V1UVQ+9857Of8/v9/YJdEARBmHojBvmqVavYuXMnAJWVlVRU9N0+XF5eTm1tLV6vl8j/\n3979hES1hnEc/0L3XqPArGhRrSoagiKo2fQHCaSwDrlIgxmOY1hEZANmiUFSk5RMWS3cpZVF/7QY\nEApCocIEW0iBu7JogqDk5hgSTVbjjM9dTB7zFhXc27xn4Pms5szm/TEHfjpzzvucRIJHjx6xYsWK\n35dWKaXUN356sXP8rpVnz54hIoTDYR4/fszIyAg+n8+5a0VEKCkpobS0NFPZlVJK8QtFrpRSyt10\nyIFSSmU5LXKllMpyri7y9+/fs3PnTmzbpry8nFgsZjoSqVSK+vp6/H4/xcXFdHV1mY40STQaxev1\n8vnzZ9NRgPQ53L17N4FAAJ/PR19fn9E8Y2NjhEIhfD4fZWVlvHz50mgeSG+sq6mpwbZttm7dyr17\n90xHmuTt27esW7eOaDRqOoqjubkZn89HcXExkUjEdBwgfR6rq6vx+/3Ytp3Rz8vVRd7e3o7H46G1\ntRXLsmhpaTEdiZs3b5JMJrl+/TpnzpxxRRGMi8fjNDQ08JeLhnJdvHiRVatWcfXqVY4fP87Ro0eN\n5rl79y6JRIIbN25QXV3NiRMnjOYBuHXrFnl5ebS2tnL+/HmOHTtmOpJjdHSUUCjE1Km/Nlo3E3p7\ne+nr66OtrY0rV67w95eZ/qZ1d3c73RAMBmlsbMzY2q4emuXxeHjx4gWQLqk/XDCvu6enh8WLF7Nr\n1y5EhMOHD5uOBOBk2b9/P3v27DEdx1FeXu78YUmlUuTkmJvABz/eqWzKxo0bKSxMb3YTEaZMmWI4\n0YSGhgb8fj9nz/6HXdX/s56eHjweD8FgkHg8zoEDB0xHAmDBggWkUinGxsYy3lfmm/GLSCTCpUuX\nJr0XCoV48OABlmXx7t07rl27ZjzTzJkzycnJobm5mYcPH3Lw4EFX5Jo3bx6WZbFkya89XeZ3+F6u\ncDjM8uXLicVi1NTUUFtbayhd2o92KpsyfXp6GmE8HqeyspKqqipjWb7W3t7OrFmzyM/Pd1WRDw8P\nMzAwQFNTE69evaKiooLOzk7jA7GmTZvG69ev2bRpE8PDwzQ1NWVucXGxYDAobW1tIiLy5MkT2bx5\ns+FEIlVVVdLZ2ekcr1mzxmCaCevXr5dAICCBQECWLVsmtm2bjuTo7+8Xy7Lk/v37pqNIOByW27dv\nO8f5+fkG00wYGBiQLVu2SCQSMR3FYdu2lJaWSiAQEK/XKyUlJTI4OGg6lpw6dUpaWlqc46KiIhka\nGjKYKC0cDsvp06dFJH0+N2zYIJ8+fcrI2q75j/x7cnNznS3/s2fPnjQOwBSv10t3dzeFhYX09/cz\nd+73nyafaXfu3HFeFxQUcOHCBYNpJjx//py9e/fS2Nho9NvCuJUrV9LV1YVlWd/sVDZlaGiIHTt2\nEAqFWL16tek4jq+/aZaVlVFXV8ecOebnmXi9Xi5fvsz27dsZHBzk48eP5LngOaC5ubn8+WUa6owZ\nM0gmk6RSqYys7eoNQW/evOHQoUOMjIyQTCaprKxk7dq1RjMlEgmOHDlCNBpFRKirq2Pp0qVGM/1b\nQUEBHR0dxn+PBqioqODp06fMnz8fSM/nGR+DbML3diovWrTIWB6A+vp6Ojo6WLhwofPeuXPnXHWB\ncbzITX9W406ePElvby8iwr59+5zrHiZ9+PCB2tpaYrEYo6OjbNu2jaKiooys7eoiV0op9XOuvv1Q\nKaXUz2mRK6VUltMiV0qpLKdFrpRSWU6LXCmlspwWuVJKZTktcqWUynJa5EopleX+AVq7iEvBSALK\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11fdb8a10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#观察不同窗口大小的kde估计\n",
"sns.kdeplot(x)\n",
"sns.kdeplot(x, bw=.2, label=\"bw: 0.2\")\n",
"sns.kdeplot(x, bw=2, label=\"bw: 2\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 拟合参数化分布"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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fphUWV/H28WXU36ag9fRi5szXSE8/rDqScDBS8g7up58uD9UMUJxEOKq6IY0Y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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11f8b9990>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#构造gamma分布\n",
"x = np.random.gamma(6, size=200)\n",
"sns.distplot(x, kde=False, fit=stats.gamma);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 二元分布\n",
"之前给出的数据都是单变量一维数据分析,现在给出的数据是二维分布"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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95FXsjstgBbk5mHzqMZrdR3V7GhE6N2IoASAuOSU6eQypqTWMptYwzvy3o9D4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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11ff20550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mean, cov = [0, 1], [(1, .5), (.5, 1)]\n",
"data = np.random.multivariate_normal(mean, cov, 200)\n",
"df = pd.DataFrame(data, columns=[\"x\", \"y\"])\n",
"#散点图\n",
"sns.jointplot(x=\"x\", y=\"y\", data=df);\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Hexbin plots"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AF0URMzMzcLlcCIVCZYLCZj/RaLSqz+HCwgISiUTVdtaDrQLUMvDVa1xLNAeJ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11fdb8990>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x, y = np.random.multivariate_normal(mean, cov, 1000).T\n",
"with sns.axes_style(\"white\"):\n",
" sns.jointplot(x=x, y=y, kind=\"hex\", color=\"k\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 二维分布kde核密度估计"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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di422wWwyVifEcTDSHXZBFKnMZhPiYqPQwBAiEoMBRJEuLiYKLR0eeH29okuR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\nVFMSAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11fdaa150>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x=\"x\", y=\"y\", data=df, kind=\"kde\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"除了使用joinplot,还可以使用kdeplot来绘制"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Jub6CovISzhdkUVFdeckx/Fy86eXXg6Fd+9PTtxtW//ocW/O6qqrWs3TFK8Qm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\nD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D70TamVnh1eraN/505IlkMfoFPzDly8fokLAZf4YetahvX+PFtGpjjaOtDGvRn9WnUi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\nQpgRCX0hhDAjEvpCCGFG/g8xtRHcQFt6vgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11f45d850>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize=(6, 6))\n",
"sns.kdeplot(df.x, df.y, ax=ax)\n",
"sns.rugplot(df.x, color=\"g\", ax=ax)\n",
"sns.rugplot(df.y, vertical=True, ax=ax);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 可视化成对特征数据"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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LFyHbFwa5XIbztmnsaquILFHtaivHybNjrG3MstWwy4PrN1ehs8cV2XawcwhP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g2+UrEIkg3t5Uo0S5UYvTgxdj29bVleL/vN+bVN+dO+tx4vRonDVquakApwcuxm1r21AhqQ/w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\nf3ANNXvR/zqaAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11f45d310>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"iris = sns.load_dataset(\"iris\")\n",
"sns.pairplot(iris);"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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