{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 算法\n",
    "![算法][1]\n",
    "[1]: http://img.blog.csdn.net/20161108173744178\n",
    "\n",
    "- 无解析解（梯度下降）\n",
    "$$\n",
    "\\sigma(x) = sigmod(x) = \\frac{e^{x}}{1+e^{x}}\n",
    "$$\n",
    "$$\n",
    "\\frac{\\partial L(\\omega)}{\\partial \\omega } = \\sum_{i=1}^{N} y_{i}x_{i} -  \\sum_{i=1}^{N}\\frac{e^{x_{i}\\cdot \\omega}}{1+e^{x_{i}\\cdot \\omega}}x_{i} = \\sum_{i=1}^{N}(y_{i}-\\sigma(x_{i}\\cdot w))\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from numpy import *\n",
    "import matplotlib.pylab as plt\n",
    "plt.style.use('ggplot')\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "class LogisticRegession(object):\n",
    "\n",
    "    def __init__(self, path=\"ex1.txt\"):\n",
    "        self.X, self.y = self.__loadDataSet(path)\n",
    "\n",
    "    @staticmethod\n",
    "    def __loadDataSet(path):\n",
    "        X = []\n",
    "        y = []\n",
    "        fp = open(path)\n",
    "        for line in fp.readlines():\n",
    "            lineArr = line.strip().split()  # 分割\n",
    "            X.append([1.0, float(lineArr[0]), float(lineArr[1])]) # 不妨令bias=1\n",
    "            y.append(int(lineArr[2]))\n",
    "        return X, y\n",
    "\n",
    "    @staticmethod\n",
    "    def __sigmoid(WX):\n",
    "        return 1./(1+exp(-WX))\n",
    "\n",
    "    # 梯度上升算法求解最佳回归系数\n",
    "    def gradAscent(self, X, y, alpha = 0.001, maxCycles = 500):\n",
    "        '''\n",
    "        alpha: 初始化alpha的值\n",
    "        maxCycles: 最大迭代次数\n",
    "        '''\n",
    "        X = mat(X)  # 将数组转为矩阵\n",
    "        y = mat(y).transpose()\n",
    "        m, n = shape(X)  # 返回矩阵的行和列\n",
    "        weights = ones((n, 1))# 初始化最佳回归系数\n",
    "        \n",
    "        for i in range(0, maxCycles):\n",
    "            weights = weights + alpha * X.transpose() * (y - self.__sigmoid(X * weights)) # 梯度上升(矩阵相乘)\n",
    "            \n",
    "        return weights.getA1()\n",
    "\n",
    "    # 随机梯度上升算法求回归系数\n",
    "    def stocGradAscent0(self, X, y, alpha = 0.01): \n",
    "        X = array(X)\n",
    "        m, n = shape(X)\n",
    "        weights = ones(n)\n",
    "        \n",
    "        for i in range(0, m):\n",
    "            weights = weights + alpha * X[i] * (y[i] - self.__sigmoid(sum(X[i]*weights)))  # 数组相乘即可 \n",
    "            \n",
    "        return weights\n",
    "    \n",
    "    # 改进版的随机梯度上升算法\n",
    "    def stocGradAscent1(self, X, y, numIter=150):\n",
    "        X = array(X)\n",
    "        m,n = shape(X)\n",
    "        weights = ones(n)\n",
    "        for i in range(0,numIter):\n",
    "            dataIndex = list(range(m))\n",
    "            for j in range(0,m):\n",
    "                alpha = 4/(1.0+j+i)+0.01\n",
    "                randIndex = int(random.uniform(0,len(dataIndex)))\n",
    "                weights = weights + alpha * X[randIndex] * (y[randIndex] - self.__sigmoid(sum(X[randIndex] * weights)))\n",
    "                del(dataIndex[randIndex])\n",
    "            \n",
    "        return weights\n",
    "    \n",
    "    #分析数据，画出决策边界\n",
    "    @staticmethod\n",
    "    def dataScatter(X, y):\n",
    "        X = array(X)\n",
    "        plt.scatter(X[:, 1], X[:, 2], c=array(lr.y)[:, newaxis], s=100, lw=0, cmap='RdYlGn')\n",
    "    @staticmethod\n",
    "    def plotBestFit(*args, X, y): # weights为一维列表或数组\n",
    "        X = array(X)  #将矩阵转化为数组\n",
    "        fig = plt.figure()\n",
    "        ax = fig.add_subplot(111)\n",
    "        plt.scatter(X[:, 1], X[:, 2], c=y, s=100, lw=0, cmap='RdYlGn')\n",
    "        x = arange(-3.0,3.0,0.1)\n",
    "        for w in args:\n",
    "            y = (-w[0]-w[1] * x)/w[2] # w0x0 + w1x1 + w2x2 = 0解出x1与x2的关系式（即决策边界,注意x0=1）\n",
    "            ax.plot(x,y)\n",
    "        plt.xlabel(\"X1\")     #X轴的标签\n",
    "        plt.ylabel(\"X2\")     #Y轴的标签\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lr = LogisticRegession()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X_y = X, y = lr.X, lr.y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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p4SeNhtO5a7q3hM/k4SiKjkPCb7s4z80Luwfblk1YjVUV8FtfoKK6DEQLShKIWVGXyBG9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\nNkmSIIQQQgib/h/aG0JQC/9ifQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f70dbbfd278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr.dataScatter(*X_y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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o8KiCX6/OdH3zEc5d/GGthdRqEnPjJM7fvIAubzxCyMXn4dO5LcZA/xrberaO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\nsAlJQoQQQghhE/8PAyvmkX3QqeAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f70d9badf60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr.plotBestFit(lr.gradAscent(*X_y), X=X, y=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UTjz5DtHLNpVhZKIwUYZ15CSoqy+CyUTijkPErd3OuTe/Zmf7B4heuh506v/2c6tn/QXB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\n2WrnC9ZhRXwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f70d9b7bac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr.plotBestFit(lr.stocGradAscent0(*X_y), X=X, y=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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55nIMxjLHSx2tUVPPpW3aPn4LeUdPcuqn33T100osZG3dS0R0hF3tS7L1B2RgC+aMPo5t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\n4v8AhpJN5Q8pdS4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f70d9af3c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr.plotBestFit(lr.stocGradAscent1(*X_y), X=X, y=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Tb2rvrLbYm8+rVpppF9q/p/Z+dDr6PHELil7P6nE3U7654R1fZ3klud/8j9xv\n/kfsuSdz3BuPNzujpQ82ETVmGFtun+4xSKmvYutuNl33OMfPeR2Afi8+yHrLvbiqa1pt2+VmC+FD\n+nl5gS2zFRSTP/93bPnF6IJNRAwfQNSJQ5o/Nr+IrNqKua4aG8bYKBImnkHMGSc0KN7nDWdV69fp\nz3aic+vUgQruIEXFPYNSX07tc0IA7gJrefN+I+uzuVSm70N1ughKTSDpsnNJuuxcDOGhHTaWqBOH\nEDl6CCXLN3h1fPSpI9p1Caq5ZyrlG3dqa1O79DckTfvmdrqQYIKS45s8Hj/+VNJjozTljMScPgpd\niJm1F9xO1d6MFo8tWPAHSwdcQPjQ/qRcfUGTGh+Vuw+SO2ex1+cuXbWZvHm/ET/hNCJHHMeQz59j\n0/VPNNg+oLGut09uU/2UurHuyWDvSx+R9+NvTfJ6Qvv3pMtNl5F8+XjAHRzs/Md/yfn6lybH5sxe\nQHD3FPo8dQdxZzdcdt4SY5RvtWiO9rwc0T46Q46KEG1SsnoLy0dPZutt0yn+cy223ELsBcWUb9hB\n+j9eY9mIy8j5pm1lzbUa+N7TXs0ghA3sw3FvT2vXsSRfqX2ju+Qr3TtGJ10+weOeQJ4kXnRms4Xj\ndEEmUv7vAk19dbn+YvY8+36rQcohqt1B6apNbPv7v1l2whUUL19f91zmJ3M0JwZvvvmput+dqNFD\nGb1iJmn/+juhA3rVzToZoiJIvf5iTvh1Br0fvUnz7EVjZRu2s+aC28j9dmGzyccV2/aw/d7n2fnE\n6ziralg/+X6yZ87zmKhcvS+TTdc9run/gDEm0qfbkfHnnaa5jej8OvuMSjagAIk0nFVJBNZ6amSx\nWCYDk+s/NnDgwMhp06YRERGB6sMqhqON0WgkJibmSA+j3ZWu28aGK+7D2UIOhrOiiq13/ZsQcwjd\nr9L2QumzmBhil3zK5mmvsf+LuTgaLfE0RobT7aoLOO7JOzB6MdvTlp9nxA0W9j73PvZi71YWBack\n0PeqiegMBoiJIXXimWR86+WLnE7HgLumEuVhrFHT/07Vxp3kLmp9lVK/B2+g+5kns/mmJ707dyP2\n/CI2XPUQp/74DrEnDad02frWGzXmcrH1rn8TFhZO1ysmQEwMCfdex+B7r0N1uXDZHeh9qMzq6edZ\nk1fIsmsew+FFDZaMD76messuSv/a5NV1bL/vBbqMPZHwtB5ejbHv7Vexctk6r44FMHdNJs1yHkq9\n5O1j5e+eTg5LAAAgAElEQVTQsXCdhwLwp5566uXNmzc3Xg4202q1zvTYtjO96FosFheNlidbLJZM\n4AWr1fpy7dcRuIOWKVardbaG7o8HVufl5WG3+3fvlEAUExNDYWHhkR5Gu1JVlVVjr6FiV+s5BwCK\nyciYlbMwxXfsHxRHRRV5c5dQtTcTRVEI7p5CwgVj0Yc0nXXwpK0/z4JFK9h07WOojpZXyuiCTQyd\n9SKRowbXPWYrLGHtxDuo2nOw1fP0fvJ2ut7YcjKlq8bGjsdeJWf2gmbHo48Ipcc9U+l602VkfvEj\nOx54sdXztiQoJYFRCz/gz5EWXD5Wq9WZgxmzerbflt56+nnufeVT9r7woV/O0ZzU6y8m7ek7vTrW\n5XCy3nIvJSu8uIWpKBz3xuMkXPi3Bg8fC3+H4Ni4TqPRSHx8PLhLiazR0vaoD1QsFkso0Af3zMka\n4F5gMVBotVoPWCyWB4GHgGuAvcB0YCAw0Gq12prr0wMJVDqZgkUr2Hj1w5raJFz4N5KvOp/IUYOO\nquWjvvw8qzPzKN+0E1eNDVNcFI7Karbf85zHHBFTUhwD336iQZByiC2/iC23um+tNUcfEUrvx28h\n5SrvbzPVZOeT9cWPFC9fj6OsEkOYmW6XnEvkxMNB3J4XPmTfK5963acn5l5dqNrdeqDVkj5P3e63\nFS3N/TxVp5Plo6+kJjPXL+dojj4ilJPWfOX1Enp7cRkbpz5C6arNLXSqI236Xc2udDoW/g7BsXGd\nbQlUOsOtn5G4AxO19uOl2sdnANdZrdbnLRZLCPAO7oJvvwPjNQYpohPKmvmj5ja5cxaRO2cRxrho\nkq8YT5cbL8UUF90Ooztyilds4OC7s8n/5c8GmwmakuJIufoCTEnx5H2/mOoDWaAomHumknzl+cSN\nO8Xjfi2muGiGzf4PZZvSyfxkDmUbttcGQDEkXHgGiRefpWmGCNx5EOZeXSj6fTXlG7a7x/7nOiJm\nziV16oXEn3+6TzVgmtPWIAXc+/e059Lbyt0H2zVIAfc2CdUHspstyNccY1Q4Q7/8DzmzfyJjxhwq\ntu6ue04JMpJw/umkXnfxEd+PqCOoqsrWvCoGxJvbnId0rDnqZ1Q6kMyodDJ/nX0DFVt2tamPoJQE\nhsx8weMeO4HC25/nwQ++Jv3JN6GFsvfm3l0ZOvNFglO1V1z1l5qsPDZMeaTFn19Ivx6kXD2R9Mf/\n24Ej80wfEcqpW7VvUNic5n6epeu3s2bCLX7pvyUjFrxL+KA0n9pWbN9DTU4huiAjoWndW92moDP8\nHaqwOVm8p4T5O4o5WGrjuXO60z++YVDeGa6zNcf6jIoQR0xNZi4brnyQEfPfxhQbdaSH0ya5cxaR\n/sTrrR5XtesAG/7vQUb8+JbmWRB/sBeXsf6K+1utZ1K5fS8H3/8aY0ykplLu7UXx0+yOJx21hL4t\nM4ih/XoS2s+HejhHoX3FNczbUcSSPSXYnCpjuoZz6wlJ9IvzrYr0sUyWJ4tjlrmHtk38PKnJyCFz\nxhy/9HWkqKrK7uc+8Pr4yh37yJ79czuOyLP9b870qugaQPXeDIK7JbfziLxj7tm02q5/+0/F3Ltr\nu54j6qThBCXFtes5jmYOl8rSfaU8+ss+7vpxDysOljNpQAzvT+rNg6emMigxRG77+EACFXHMSr5i\ngt/6yvx8Lq5WVsQEssLFK6nel6mpTean37d+kJ+5amx1+wh5q3LPQb9Vem2LlKvOa9f+FUUhdcrE\ndj2HPyogd0YFlXa+2JDHDd+m88JS9/+jB05J4f1JvZk8JJ7YkKMn8T4Qya0fccyKOeMEQnt1pWL3\ngTb3ZcvOp2z9diJHHOeHkXW8gp//1NymYutuqvZlYu7un5kpbxT++pfm3YydJeVeL0FvL4aoCBIm\nndXu50m6fDwZH8/xaim4ViFp3Ygff4rf+z1aqarKptxK5u0oZvmBMkx6hdN7RjI+LYoe0XJ7x58k\nUBHHLEWnY9TH/+a3c2/AVaVt073mOEq8K4gWiOw+jt1RWu7nkbSsJrvAp3a+1j9RTEaPFVu19DHw\n7SfQm4Pa1I83DOGhDPn8OdZPfkDzDFmLFIXBnz3n+95NnUil3cmSPaXM21HEgRIbXSJMXD8igTN6\nRhJq0v79qbLXsK8wi9KSMhLCojDq5WW5MfmOiGNazKjBDJ31IptvmoYtx7cXwUP0zZR9P1roQ3x7\nB+htPQ1/0Rk77oXSlBjLwHemsfuZ9yhZudHnPga89hjRJw/38+g8M3dP4fgf3uDgu7PJmjmv4QyU\nTkfM6aMIG9CL/W94LATaRMKFf8Pc5djeHm1/SQ3zdxSxeHcpNU4XJ3QJ48aRiQxpIe9EVVUoK4Hc\nLNS8bMjNQjnzfJSwCFYf3M7Hq37ixy1/UuN0B8NR5jAsQ89gyohx9IwJjNyqQCCBijjmRY4cyOjl\nM+s2JSzfko6jRNtMgT48lDAfl2wGgqgxwzTnfgQlx2PumdpOI2pe6IDeHXCOXnS740riJ5yGzmSk\nz/S7WHfxXTi9mJVZ3cPIW2eGcmpFBNeMmsDoSy5BZ+z4P7Om2Ch6PXIjPe67hqI/1mIvKEYXZCJ8\nSF/M3VNQXS4qdx8kf/7vrfYVlJpI7ydu7YBRBx6HS2XlwTLm7ShmY04lUcF6LugfzTl9oogPdeed\nqC4namFBg2BEzcuGvCzIzYaaer83kTGow0/kqT9m88HKpnWciqvKeXf5D3y4ch7PnXcLVww7s6Mu\nNaBJHRXvSR2VTqjZCp+qyspTrvZ6IzuAlGsm0fdff/f38PymtZ+nq8bGslGXa8r/6PHAdfS4+2p/\nDE+TVeNu0rybsxZdbryUPk/e3uCxkr82sfHalvfQ+aunkTfODMVuOPzu+tIhp/Pi+bf5fTrfH/8/\nXTU2tt33PLnfLvR4TEjf7gz+5FnMXY/MbMqR+jtUWOXg5/RiFuwsprDKwYC4YMYnqoxRCjDkZ0Fe\nNmpuljsYyc8Bh8PdUNFBTBwkJKPEJ9d+ToKEZIhPQgkK5skFH/Heyh9aHYOCwusX3c2kQae289V2\nDKmjIoQfKYpCtzuvZPt9L3h1vC4kmC7XX9LOo2pfuiATXW+2sPuZd7063hgbRcr/eV/uvmpfJjnf\nLsSWV4jOYCBsYG/iLzjDp7yNLtdfwra7n9XczluO8somj0WOGsSJSz8j2/oTmZ98X5es6tDBmu5G\n/jcwiM1dmq7s+GrDEuxOB29cdE/ALUvVBZk47vXH6XqzhYwZc8if/zuO4jJ0wUFEnjCYlKkXEnf2\nmGMmL8VVVcmWXVnM31POslITBtXFaVW7GZfxJz1/3VK3c7ZqMOKKS8ae2B3HwNOwR6XgiEjAHhqN\nLSgCh1OHzaZit7mw21TsRSr2HBW7vYaamip+3O3da7SKyj8WfMD4/qMJMhzbq4YkUBGiGclXTKBq\nTwb7X/+ixeN0wUEMfPcpQnq1b42MjtDt9slU7csg6/OWtxYwRIUzeMYzXhX+qti5j11PvUnhkr/q\n/tAfkv7Um6T83wX0uP9aTbdHki47l5JVm8n6rPV3pb4whIU0+7gxKpyuN11G15su4/oPprF853oq\ngpQGMyjNmbN5KROPO5lx/U9sj+G2WfjgvvR/8QF48QFUl6vdC9MdKaqqQkVZ3a0ZNScLR34BpUXl\nrCSZv6KOo9gcR4LNwNSKDLrp7SghcRQddzW5Q8Ow64KxY8TuUOomUAAoqf0AFJ0Nk0nBaFQwmtwf\n5lAdkdHuf/+cvpwyp/eJ64WVpfyw5Q8uHXK6P78VRx0JVITwoNcjNxKS1p39b3xB5Y59DZ9UFGJO\nH0WPB64jYuiRr9HhL/2ev5+wgWkcfHd2k1tfikFP7Dkn0/Oh673aMqB0/XY2TL7fY76Po7iM/a9/\nQdmGHQye8YymTR77PnsPQUmxHHjbirOZGRB9qJnUGy4ha9Z87BqTpGP+1nJAsa8omwWZm1BDvX9B\n/3jV/IANVOo72oIUVVVxOsBuV7HbVGqqndiLy7AXlmArqcBeXoW9yuGe3XDo3MGGMRS7oTd242AI\n1UFtQd8Rhzo1R2KM7EKR6XCwEWRSCKsNPkz1HjeadA2+1utpcebs4vkfUebUlv/2zcbfJFA50gMQ\nIpAlXXoOSZeeQ9Gf6yhZuRFXVTWG6Ajix52CuUfHJpJ2lNSpF5IyZSJFv62ibJ1780BjbCTxE04j\nKDneqz7sJeVsnPqIV0nJRb+tIv3JN+j7zN1ej1FRFHrcM5UuN15Gzlc/U7h4JY7yCswxUYSdNIyk\nS8/BEB6Kzmhg74sfe92vuVdXok8d0eIxX21Ygoq23L6lezaSWZpPSsSxWdXV6XJSUl1JsMFIiKnp\nSjGn0x1o1H3YVWw1KtkHSygprsJuU2tvp6jYa1zYqx3YalzYnTrUJnVL9UAMBkcwRmc1RsWOMdSF\n0aQn2GykwBDE7mrYV16G3giDU0IZ0zOMhAgjRpOCwai0y226Goed4mrty/lzy4v8PpajjQQqQngh\n+qRhRJ807EgPo8MoikLM2FHEjB3lU/ts60/Y87z/A5s1ax497r8WUyub1DVmCAsh9ZpJpF4zCWia\nfJly9UQyP5uLLTvfq/563De11RepjBLv+qpPRSW7rLBTByoul1o3s3HoY1vWQZbt3sbu3ByCFDOh\n+lASzLF0i0gh2hSF0w42m4rLQ1Fnva4cg2rH5KrCYCvHWF1CSGUhRlsFJkc5BmcVxmADpjAzxshQ\njLGRBMXFYkhOQBefiGI0AVBc5eDnXe7k2PyiUvrFmZkwOIqTu4Vj1HfMLJJRr0dB0RzkHuv5KSCB\nihDCz1RVJfMTbeX11Ro72TPn0e32yX4diykumiGfPsv6Kx9oNXDq9fjNJE5qfTmo3sfbI3ql7S+I\n9qJScr5bSEZ+CdU11Zh7dSVh4hke82q0UlUVhx3sdhe2mqaBh83W3Ncu7HZ3u6ai6aeOoktkBZWu\nSiqdFVTYKlibuwU9Ns7qlkavEDCWF2IszcFQnIUx7wDGwkyMjkr0LjuYgiA+CeKTURKSoW8SSkI/\niE+GmHiPyb6qqrI1z1059s/9pegUhdN6RDChbzS9Yzq+cqxO0TEgsTtbcvZqajcw8djYxLElEqgI\nIfzKXlhClQ/bEpSs2tQOo4Gw43oz4se32P/aF+R880uTeihRJw2n662XE9tKbsohaXHaN/4z6Q10\ni07U3O4QW0Exu//5DrnfL8JVbWvw3K6n3iTx0nPo9ehNGGqLDjodjYIKuzugsLUWdNhVPL3hNzZK\nEjUFKYSG6zCaDA3yNAxGhRd+/4x5O5YSYq8gxVZDd4da+wE9aj9Hu4CVtZ2HhB1eyjtiMMSfg5KQ\nTFTf/hS7tN2KqXa4+G2vu3LsnqIaksKMTBmWwJm9IgkLOrIrmK4ecS6PzHtHU5spI85tp9EcPSRQ\nEUL4lau6xrd2Vb6180ZwaiJ9n72HXo/dROHildiLStEFBxFx/ABC07pr6uvSIafz3OLPqXbYWj+4\n1nkDxhBtDtd0HpfLHUCUHyxgy0OvUlNShTpwDKo5FDUkzP1hDkM1h1IWEs6uT/ehT0rCbgeXq/k+\n9QbqBRU696oUsw5jUKMgpEHCqPu55oIF1eWEwnz3SpoD7mJnOXu2MmXvNh53QGi9oCdbD/sMsN2o\n8LNZYZ8B9hkUorun8cWNzzc/3ugYFC/rqGSW2pi3s4hFu0qotLsYmRrKlGHxDEsORRcgS8MvGXwa\nLyyZSWGl53o89Y3pPpBByb3aeVSBTwIVIYRfGSLDQVGaLEdutV10RDuNqN45wkNJmHhGm/qICQnn\nwoGn8OX6Ra0eq6Bg1oVw9aALKC50NJnFaDybYa9xYau93eKsWwJrBMv9hzu121Aqy1GqylEqy6Gy\nHCU/C+XAToJzo0mbfE5d0NE44NDptL9gq3Y7ZOeg5mah5mXVq7ya7S52dmigOh3EJpDjrGRtkMLs\n0MPByH4DVHs6d3Y6m7P3MDBJ+y0Op0tlVWY583YUsy6rgvAgPeemRTEuLYrEMJPm/tpbqMnMh5aH\nufLzp6m0t7y/WLeoRN646J4OGllgk0BFiABjKyxxbyinqgSlJBCUdHQlYBrCQog+bQRFv67S1C5+\nwmntNKK2ObQEtn4RrzsGX4OzIIKSimpCdCGE6kMJ0YcSqnN/DtGFEKIPxawzo1N05K6BXA6v+FAU\nGsxWGE0KwcEK4RGGBrMa1dvT2ffPNw4HJlUVKHbPMzkuIP7S4whL07bVgFpd6S73npeFWvfZXYGV\novzDQafRBHGJ7ts0g0fWq7yaBDEJFNSUc8HLN+BStd1i+WrjEk2BSkm1g1/SS/hpZxF5lQ7SYoP5\n+5hkTukejqmDkmN9Naprf76eOp0H5r7Jpuw9TZ5XUDijz3BeuuB2EsJar1V0LJBARYgAUbxiAxkf\nfUv+T0tR7YdKcitEjx1J6tRJxJ1z0pEdoAap10zSFKiYkuKIG9++pcLrL4FtOLPhaiafo+ExzU0O\nnRUyEZu5mhJ7GZWuCiqd7oTRPHsula5KnIqdsWmDGdt3cIPbLSaTgt7Qcr2NQzY+9QWGPVs1XWfG\nx9/R7/n7GjymqiqUl9bOhtTuQZOXXTdDQlnJ4YPNIYcTV3v1c5d+T0hxJ7RGxbRYayW3oBiX6uG+\nUwuyS1u/vaOqKjsKqpm3vYil+8vQKXBK9wgm9I0iLfbo2hB0SHJvFtz4EqsPbse6fjH5VaU4HQ76\nxnflyuFn0yPm2N4AsjEJVIQIAHte+JB9r3za9AlVpWjJXxQt+YvEy86l/0sPHBUlzWPPGkPUKcdT\nvNS7cuG9Hr0JnaH16zqUt+G+TaLW3SY59KHT5VNWWtW0JkdLS2ANYDQqDYKJsAgdNWoVq7O28lf+\nJgpqiupWrTgUG6elDea60eM4Lqk76fkOZqz6lbUZO6l22ogJieCC407iksFjm60ZokXxivWajjcF\nKzg3rsH1+88NZ0XysqGqXmG8iCh3ABKfDAOPrw1Gkt0racLCfa4jYtD59rtpaGEvpBqHi9/3uZNj\ndxW6k2OvGhrHWb2jiDjCybFtNaJLP0Z06XfM7K3mKwlURMDYU5hFRkk+igI9Y5I7dc2J+va/Nav5\nIKWRnNkL0AcH0ffZwL9vreh0DHr/aTZe+xglyxq+2KqKAkFm1JBw1NBwkm+ZjGvUKexNr/E4o3Ho\nlkuD0uUNzudOEg0OdqLTu5qULj+UOGpqlCBqMino9E1flNdl7uSGmf/ymPQ4c2Mm325dzFsX38s5\n/U5g+rgb2vT92l2QyadrFrBy/1aq7TYizWGM738ifRslJru/de5rCw7RYQ6p/RyqEGzW1V5LGeqn\nb0BMvDsA6d4HRp1at0ke8Ykowf5ZztxYl8h4Qk3BVNhazr9orH9805VUWWU2Zm7Zy9zN2VTYXByf\nEso/To/n+JTASY4VHUN2T/ae7J7cDlRV5fvNf/DxqvmsPHB4ilun6Dijz3CuGzWB03sPb7fzH+l3\nMvbiMpaNuEzTSplRSz7WvFLF39fZuHS57dAGbI1urdiqnVQczKcqvxyHYkANCYPgEGjunbfSeGbj\ncP6GqdGqFE+lyw9d58HiXD5d/TPfb/mDgsoSggwmhqX0YcqIcZyZdjy6FmqaHCjOZcIHD3q1MiNI\nb+SrqdM5PrWvT9/HClsV93z/OvO2Lq8rBGZ2qXSrXcZ7z4oqoo1KXVASZD68+sblUqmuVKmudFFV\n6XJ/rnChS+3GoO/eQTEemUJhD897h09XL/D6eJPewKq/v0dsaCROl8rarArm7ShiTWYFYUEGzuwV\nwbi0KJLDAy851l+O9N+hjiC7J4ujks1p585vX2Xu1j+bPOdSXSzcuZqFO1dz44kX8OQ51x6BEba/\n7C/na17OmzljDmn/vMsv5/dUuvxQ3Y2W6m14SkUwGKkNKtzBRGjXBKJ6J0J5KUp1BUajjdDUWMzR\noQ1mOfxRulxVVZ5Z+ClvLZvTIFeiwlbNovQ1LEpfQ1pcFz6+/FGPeQDvLJ/j9fLRGqedl3+z8unk\nx7WNs6KMmsz9vPHtG/TKzeTFenVGEuvdoqrpacJe7g5C8rLsDQKTmqrm32T2uOaMIxakAFw7cjxf\nrPkFp5e5KhMHnoLREMY3Wwr4aWcxOeV2escEc8foJC4c3p2K0pLWOxGdmgQq4oh5YO5bzQYpjb23\n4gcig0O55zRLB4yqY+XN/VVzm9wfljQIVJorXd44wFCUXMrLq5s87ylvQ6enycxGaLgOU+0tlJbq\nbXheAts+txvqu+/b13jrz29bPGZn/kEu+eRxvr/236RGNty7qNJWzVcbtP1Mluxax76ibLpHHw58\nVFWFkkLIza6XvFovZ6SyHCNwH1Cgc9cX2WtQ+DMI9hoV9hkU9hrAXOzkuZ+abrroiWI0kHLVeZrG\n72/9Errx7wk389CPb7daLn5Q8ii6xl7Edd+kowKndA/nvpNT6BsbjKIoBBn0VHTMsEUAk0BFHBGb\ns/fw1YYlXh//2tKvmTpyPDEh2opmBTp7ofvdogoQHFJbzCscNaT2c21xL+qKe4VRGRrGrwvKWild\n3nAJbEiIO4/DHKIjMqr+bRVdk6CjYvUGsj+bQ/mmdFx2O6b4GBIvOpOky87FEBG4qyuW7tnIW79/\n49Wx2WWFPDr/PWZc8WiDx//ct4myGu8CA72qkuqE7nYHB+Z8QtfQuLqlveRlg63eTFl0nDtfpEsP\nOH4Mtpg4rvz5Xbao1ZS1VNsk1sBvfU2ctsO74nJdb7Zgio/x6tj2dNXxZxNqCubJnz8ir6K4wXOK\nYiA2bCh9Ev6GQ41me34NVwyJ4+zekUQGH/mXpNzyIvYV5QAqXSITSI6IPdJDOuYd+d8KcUyasfon\nTcfXOO3MWvc/bjvponYaUdupqorTSdN9UFpY9lo2dRoufRBqSGjzeRsuF1RXoFRWoFSWoVRVoKsq\nJzpW36R0uTv40NXlc9RfAuvNPfCq/VlsuuEJyjenN3i85mAOZWu3svvZ9+nzxK2kXD3Rb98zf5qx\nar6m4xelr+FAcS5doxLqHiutbvj+Pcil0s0J3e3u2zL1y8B3ccChGyzO/D9Q45PcwUjfgXDyWbX1\nRZIhLhHFFNSg3+/WLWSFUuOOJlvx/tgQgh0qJ+xuOTcuZcpEej7ctqRef5o06FTOGzCGeVuXM2fz\nUvIrneiNA9Dp0nCoRgYnhTKhbxQjUsLQ+1CIzt9+272Oj/6az8Kdq+tuWykonN57GFNHjufsviOP\n8AiPXRKoiCNi/rYVmtv8uHVZhwQqLufhJa2e6m40eKzebRetpcuVqiwqVq9vEIgolWXur6vKoboS\npVHCe9RJwxkycoJfr7k6I4e1F93V4i7Drspqdjz8Ms5qG11vvNSv52+rwsoyft7xl6Y2LtXFl+sW\ncd8JF9QVOjtuy2qeL3DWBSQp9W6NVSnUVVr9xayw1+CuvLrfoDD13CncfLL3v5s78w96faxTr/Df\ns0MZs9PG7bkJsGnv4ScVhehTjif12knEnXuK1312FL1OT5foYfRM6E5hZgVmk44ze0UyPi2alIjA\nSY598uePeG/FD00eV1FZvGsti3etZfKwM3n+/FtbTMQW7UMCFXFEFFeVt35QG9qojfI2bB5mNMBG\nZXlNg6DD6WEJrE5Hk7wM96Zs9VagGBWMQQomY8OZDk95G2Uhyax+fpqm70PK1As1He+Nbfc+32KQ\nUt+up98iZuxIQvv28Ps4fJVZmo/DU8KNqhLnwj0TYj+ctNrdodLXOhvX51/UHdrbHEK1E/YYFFYF\nURuMuAOSHD0eZ0BO7jVU03idniJaD1RF4c++Qdzx5N8ZqcZgLK6gvKIcc49UzN1TNPXVEcpqnCzc\nXcz8HcVkl9vpGR3EbScmMbZHBEGGwHqhf3HJrGaDlMZmrltIiCmYp8+9vgNGJeqTQEUcEcEGU6t7\nXQAE64IJ0YUSqg8lzdyTzAM2DytU6gclLq/yNoxGhdAwPcFmHeGRjRNEG9XdMCroDf6fng4flEbU\nycMp/mOtV8ebe3Yhbpx/3zlX7NzndWE2AFwuMj/53m8rj3y1ryibT1YvYNHONRRXlpBau3Kmh6Pp\nrZqwepNSuTrYa4RdRoWc1K5MOO0id7GzhGT0oeG8/+3LfLvpd6/HMTw1TfPGcb7WCEqJiCM0vgt2\nI/y29ndK8zcSXprOyT0HB0S59V2F1czbUcRve0txqSond4vg7pOS6R9nbvOKrvaQW17E6394l9cE\n8OHKeVw36jypHNvBJFAR7a650uWWbpPYX1Dg3iOl3l4pIbr6e6aEoFca5m2s/tOd6Ggw0mQFSmiY\nrulW9K2ULm/v+gUum528H38l87MfqNi2B9XhxJQYS9Il55B81XmY4qI57u1prLv471Tu3NdiX6aE\nGAZ/8m+vKrhqkfXFj5rbZH/1M73/cQu6oI6bvlftdijIwZ59kLm/fkPB3h2c6FCxOFS6OuBQFogT\nyNDDPqPCmiCFb2s3x9tbuzleVb3ZrftPPAndiWMbnOeWMZOYt3U5Nc7W6yUpKNx1ivbbYBcNOpV/\nL/oUm6fpu2YMS+mDzWnntm/+w/xtK7DVG59RZ2Bc/xO446SLO3y3XbvTxR/7y5i3o4jt+dXEhRiw\nDIrl7N5RRJkD+yXmi7X/w+7y/megovLJ6p944uxr2m9Qogkp+Oa9Y7rgW2uly5skjnpRurzaVV23\nP0qls4KK+v+ut3dKhdP977ct99A/OdW95byfku/aM1ApXb+dTdc97vGWimIy0vuxm+hyw6XYi8tI\nf+I1cucuQa1p9Pul0xF75mjS/nknwV18eyfX0nVunPooBf9bprnP0StnEZya6NN4PFGrq2pLvh9e\nyqvmZbv3oynM51DxlmrgQG2+yF4jdct59xkUMgxg9+Ldu05RuHn0hQQZjMSFRjKh/2gSw90rZn7c\nuow7vn25xUBCQeGJs6/hptEX+HStt3/zMt9t9n7m5oYTz+ez1T9T7fC8AijYYKqrltvecsvtLEgv\n5tNZdCgAACAASURBVJf0YkpqnAxNCmFC32hGpfovOba930ic9c49bM1t+Q1CY6mRcay8612/jkMK\nvrUssMNd0eGqKl1sWlsFrmoqK+2tli4/lLdRfwYjJFSHMbpp9dD6x+gMLs55bxo78g94Na6/9Tme\nIT2altkOVGWb0llvuRdnueelrqrNTvq0N3A5nHS75XIG/PdRek+7jezZC6jafQDVpRKcmkjSZef4\nHKB4w+c3Kz60U1UVKspqN8erDUDy6v27tN5S1mCzeyO8hGSUE06F+GR+KtzHE2vmka2vLcXfBi5V\n5a1l39V9/dTPH3NuvxN44PTJnDdgDAlhUbz065cs3bOxST2Q4Slp3HXKJW0KCB4/aworDmwhq7Sg\n1WNP6Dag1SAFoNph49Zv/sO31/yLIcnadlD2hktVWZ9dybwdRazKKCfYoONvvSIZ3zeKLhFBrXcQ\nYIqqyrS3qdSeXyfaRgIV0YBOB06HSliYnuAQF0aToWEp80a3Ww6VLvfhTHwy+TEu+eRxMkpaTuIc\nmNiT1y8K/P1t6tt2979bDFLq2/3Pd4g752RCenXBFBtFt1sub+fRNWTulqy5jS44CGNsNJuz9zBr\n3UL2FmUD0CM6iclD/8aAoAj3bEhuZt2meHXFzqrqLQEOj3QHIvFJMGAYJCQd3pMmLKLJ79Zzb95J\nVjvkCgHYXQ7mbv2TpXs28PlV/2BU1wHM+r8n2V2QyS87V1FaXUGoKZhTeg7xSxCQHBHLV1dP5+qZ\n/2R3YabH4yb0Hw3QapBySLXDxmtLv+a9yx5s8xgPKbc5WbS7hPk7isgss9MjKohbRiUxtmcEwQGW\nHKtFsEH7rctgY+CsVjpWyK0f7x3Tt37aS05ZIU//MoN525Y1mWYPNQVzyeCxPHbmFMKC2qfQWHtc\nZ/Hy9ay75G5NbbrceCl9nrzdr+Oor6XrLNu0k9Xn3qSpP+fksXzVu5ziA+nu5NVDSawO9z41wYf+\nrCgKRMdCfHLt7rxJdZ+JT0Yxe1+tdsX+LVw8Q1upel/FhUay6OZXiA2NbPdz2Z0O5m9bwSerf+Kv\nA9twuJyEGIMZ3/9EpowcR7eoBEa9epPnVU3NMOj0LL/z7TYXK9tdmxz7a21y7Jiu4UzoG82A+I5J\njm3vv0N3ffcqX2/UVon4rLSRTQoFtpXc+mmZzKiIIyoxPIY3Lr6HvPJr+WbTb2SU5KEoCr1iUrh4\n8GmEB7V/2XV/y5qlrfAYQPbsBfR+4lYUXce/Ow0flEbE8cdRumZLg8d1Ogiuvztv7cZ4xnAdwSVr\nOL32T42dw/kifwQpzKxNXi0OD+c/1z5N7+Sefhnn7gLPsw4tCQ8KIdocTnZZgdfJq/kVJXy+9hef\nEmW1MuoNTBx4MhMHngy498Ay6Q/v1fOvhZ9qClIAHC4nv+1ex+XDztQ8HrvTxZ/7y5i3o5ht+VXE\nmg1cOjCWc/pEER3gybFaTRk5TnOgMnXkuHYajfCkc/3WiaNWfFgUN48OzIqnWlUfyNLcxlFchqOk\nHGN0RDuMyDO1ohzyshhw45lkv74fk85RF5QEBR8OmpwO92Z4lZUu5sUHs8ngYF9tEmumHpzNvbt2\nVnDNNy/x623/9UuRrNb2jfHk/rFXEG0O5645r2pq99man7n9pIvQN1cxuB3VD1JKqyv4cKX2VVkA\nZTVVmo7Pq7CzYGcxP+8qpqTayeDEEB46NYUTu4RrTo6tcdiZu+VPvt30GznlRRh1eo5L7MHVI85l\naEofTX21p5Fd+nFC1wENdm5vyYCE7pzRjru5i+ZJoCKEv/k6Jd4OU+mqqkJpMfacA7h27ahNXq2X\nL1LhTiY0AV37hVJRUE1lSQ0lBXaqKl1UV6pUVbgTqtHrOHDn2TxSvRLwLvDYXZjJovQ1nJXW9vLj\nXaN8W2HULSqBBRqr1gJklOSztyiH3rFHrqDa7A1LvM5NaSzUFNzqMaqqsiGnkh+3F/FXRjlBeh1n\n9IpgfN9oukX6lhz7w5Y/eWz+uxQ02oF6fdYuZq5byKiu/Xnz4nt9riXjb+9e+gAXz3i8xTwhcK/2\nmXHFowFZD6azk0BFCD8z90ilZNl6TW2MsVEYIkJ9Op/qcrqX7tZbSaMe2hgvLxtqqqlbSxMV405e\nTe0Gw050//tQ7khIGOF2BzXzfqP40+8p35yOarNjSown+aKzSPm/C/jgt3chvaXRNPXJ6gX/z959\nh0dVZg8c/04mk957gCS0UEMNJfTeVEQsFwEFwd7L6toXcfW3rg1dV13dVaQoekWxhg4C0nuHAKEG\nA0lIr5OZ+f0RwIS0uZNJMknO53n2WZm579z3ps2Z9573HLsEKgNaxhDhF8LZjItWjwnx8mNY256a\nCriVll9UfVHC2rRw5wqbxjnpnBhcRbXc3CITa09msjQhg3NZRUT6unBfr1CGtPLBw2D7CtLifb/x\nxI8fVLn6tf3sEW764gV+mvEGYd7130Ax2MuPH2f8g1dWfM4vhzaVq5/j7KRnbPu+vDpm5tXt66Ju\nSaAihJ2FT76e5EXxmsaE3T6uyvwUi9EIqRfKBCFXV0VSL3C17r+TEwSGlCSqtu0I/YajCwnDt20H\nMg3u6Fyr/pTsZHAmZMJwQiYMr/D5A8mJmq4LSjpl24OTzok7e47m/9YstHrMlB6jMOid8XazLdfJ\nx8224NEezBazpp5ApY1o25PmvsHlHj+VXkB8QgbrTmVSZCpJjn2wTxidQ2qeHHsu4yJP//yRVbfo\nkjJTefKnD1g0VVv7iNoS4OHNv256nFmj7uLbfb9xKj0Zi8VChF8It3UdKgFKPdMcqCiK4g60BlJV\nVb1QyTGtgEGqqs6v4fyEaHB8Yzvh3a092XuPWjdA70SzO2/Ekp8HV4OQskXPSE/9s26JwQWCQktW\nQ7r0KrWlNwwCQtA5l/+1dg4IQGeHXQVaKqnWZExl7uk7njXHd7HlzKFqj+3RLJpHBtwMwOh2vfly\n10pN5+oYEkWkv30L2mlhMpttysvRAY8OvOXqv40mC1vOllSOPZSSj7+7MxM7BjKqrS+BHobKX+jq\n+GIOJJ8kuzAXTxd3YsJa4+pcftyCnSs0VXldn7iX46nnaBvUosrjzBYzp9MvkFtUgI+rR61+TwI9\nfXmgn/17aYma0RSoKIoyC3iWy9WqFUVZDzyqquqBaw7tD8wFJFARTVLHf73ArgmPUpxR9j69wUWH\nm8flHTSeJTtq/Ds0x2XOM5izM/880N2jZFUkOAxat7+8rbdZybZev4B62R0EEOrlr7mhZKgde9C4\nOhuYP/lFHvp+DquO7aj0uEGtuvLJrc/gbihZQRretieRfqGcyajws1WF7owdU+P51oRB70yAhw+X\nrsn1qE6n0JbEtmjPjrNn+Gb/OU5lelNkNtDGX89fBzajb4Q3zlYkx6bkZPDFjqUs2r2KCznpVx8P\n8PBhUrfhzOg97uqqjclsYtGeVdouEFi4ayWvjJ5R4XOX8rL5fPcy/vv7j2W+b+2DI7gzdgy3dR1W\na2ULhGOxOlBRFEUBZgFrgB+AcOBuYLuiKHerqvpVVePr0+UA69o1xiOqqnaqj/mIxstiNkNGGu7F\nGfSaPYnUr5bgXJSD++Vtvs6GP98gioosEByOa8eOf1ZgDQmH4HDw8nbIpL2bYgbxz7XaftUnxgyy\n6xw8XdyZd/sL7E46xvydy1hzfBfZBXl4urozumMfbu8ynN4RHcqMcdI58eywKTy8ZI5V52gXFMFt\nXYfadd62uLXrED7dUn1n39J6RQ7lpoUrMNMcs8WTtOydXMzays7Ei5y/1AXnwQp9I6v+03fowinu\n+OrvZQKUKy7lZfHx5h9YtHsVX9z+PL0jOnIpL7tc8qw1jldya+tg8kmmff06ydnlVwGPppzlpWX/\n4/Nt8Xw55eV6XfUSdUPLisqTwBpVVUdeeUBRlLeBr4AFiqI0U1X1bXtP0I4OACMoWRkFsN96tGhS\nLMVGSEv5M1+kdDn41Atcad1s0DkR3i4Qo3M4OeezSE/JoSDPgsnbH//xowmZdAPOXg2rTsyUHiOZ\ns161+naOq97A5B5X/2RgNBWz6dQBLuak46I3EBPe2uZdNT2aR9OjeXSZx6oqnHVTzCBScjOYveKL\nKm+ptA5oxsIpL+Fhxa6Z2jYtdiz/3fJLtbeAnHSuBHr3IMy3HwfTgsk3XuRi1q+kZe/GbCm8etyG\nk/vYcvoQ7014lJsqCSCTMlOZ+tWrXMzJqPD5KzIKcpi26HV+nvkGXjbWO6qoPsyZ9AtM/nJ2tYFP\n4qXzTP5yNj/PfIMAj7rd1i/qlpZApQNQphyfqqrpiqJcB/wb+KeiKGGqqj5tzwnaUbGqqin1PQnR\nMFgKC0pyQ67dSXNNczycnUvyRYLD0XXucbkCa0nVVQJD0BkM6AE3oKLNmOn52Sw9soUL2ekY9M50\nDm3JkDbd7VJ3pDYEefrx7LCp/H3VPKuOf274HQR4+JCRn8OnW35i0Z5V5d4AB7Tswn1x4+2yM6g6\n9/YdT+fQVvx368+sPrYT05XvIxDmHcDUHqOY2ed6/Ny9an0u1mgVEM4Tg25jzga1wufdDCGE+MQR\n6N0DJ50zGXmHOZXyI9kFlSc9G83FPPHjB0T4hRDbon255z/evKTaIOWKrMI83l2vMufGR3FzdtG8\nlbqiLcpvr/va6tWZU+nJfLL5J54fcYem84qGRUugYqzoeFVVLcDDiqJcBGYpihIMrLXT/OwpWlGU\nJEoar24GnldV1bqOeKJRsuRmY7x0AfOxI+X70WSW+lTueqU5Xhi6XgP/7E0TEg7+gehsKAh2PiuV\nt35bxE8HN5b74x7lH8rM3tdzd5/rHfL2zwP9JmA0FfPPtV9V+klfh47nh0/lvrjxnM9KZfLC2RxP\nS6rw2I2n9rPx1H6eGqzwlyG31+bUAejfMob+LWNIykzlQHIiBcVFBHn60jeyE851XNzNGk8PvR0L\nFt7b8C0AOpzw8+xEsE8cPu6tMRZnk5a9BW/nc5y4cNCq1zSai/lo0xI+U54r83heUQGL92mr1Lr0\nyBZmj57JhM4D+WbvGk1jlW7Dyvz7Ul42vxzapOk1Fu1ZxV+GTipTKE80LloClcPAMOCDip5UVXW2\noiipwPtA/WahlbcFuAs4SkluzSvAekVRYlRVza1inGjALBZLScBxMfnyasg1O2nycv6sL+Ll82cf\nmg5d//zvkDDw9rNrwHA8NYlJC2dVeP8d4HT6BWat+JxdSQn8e+ITDrm68ujAW0p6nuxcxvf715F7\nud6Il4s7N3cZzPReY+kQEkW+sZA7v3qt0iCltHfXqwR7+TOtjpJYm/sG0dzXMYqOVeeZoZMZ1rY/\nn2w7QlKOPwa9D9n5p0jL+pmJnVoyuPVgJn6hrQ/SyoQdnM9KLbOqsT5xL9mF1jXTvKLIVMzKY9u5\nq/c4TYFKh+BI4qI6l3ls2dEt5eqYVCctL4vfT+5neNuemsaJhkNLoPIL8HdFUSIqW4lQVfXDy8GK\nQ+32UVV1eal/HlAUZRtwGlAo2Z0kGiiLyQRpF0tWQ0rni6SUBCUUlVqt8A8qCUAiWkHPfhAcjm90\ne7JcPNB51E29jLyiAu5c9FqlQUppPx78nQjfkFpd1t5+9ggbT+0nv6gQbzcPRkX3on1IpFVjO4ZG\n8cZ19zN79ExSc0t2LAV5+pbZuvrDgQ0cSTlj9XzmrP+Gyd1HYNBLiScoCbYPXczn14R0tpzNx9mp\nJde39+GGLsEE6qPwci3pO7Nw1wrNW5lNFjObTx3klq5Drj6WUaBtR9cV6XnZdA1vw31x461K/nU3\nuPL2+PJNOK/8HGmVZuM40TBo+WvwGXCIampnq6r6jaIoiYDD7qhRVTVTUZQEoMKmE4qiTAYml36s\nc+fOvrNmzcLHx4em0HHaYDAQEOAYRY4shYWYLiRhunAeU3ISpuRzl/8/CXNKMpguJ+Tp9TgFh+Ec\n1hx9l57ow1qgD2uOPrQZ+tDmFRY7MxgMGOqwG/aSTT9r2iI7d0c8L90wE98a5kxc+/38fs9v/HPl\nAvadP1HmuH+sWciA1l2ZNW4mg9p2t/r1w6l458WXGresXszJYP25A9zWo+KCc9VxpJ/bmsgrMrHi\naApL9ieTmJZHpJ87jwxqxZgOwXi7OmMwGMp2cXe28ZaVwanM1yvQz7avXaBvAAEBAbynPIWXhxfv\nrllU6bEBHj58M/M1BrbpWu45fx8/287vF9Cgv++N5ee2KldWpWfPnj3n4MGD10aWi1RVrfSHRkug\nEqeqqrXdsQ4BUwDrMu7qmKIoXpQEKRWu/Fz+gl37ResJ7MzKyir7B6KRquu245a83FI5ItfspMlI\n+/NAF5eSRNXgMHRde6O7cosmOBwCgtHp9ZgBMyVJVVfl5pb87xp1fZ0frf9O0/G5RQV8um4Jd/e5\nvkbnLX2dH278vsrqrhsT93H9x0/z/k2PMaHzQJvPeTEnnd3nEjSP+2H3OkZEWR8klVbX3097O5tZ\nyNKEdNYkZlFoMtO7uRfTh0fQLcwDnU6HMTeLS7nlr9PZXMWLVkFvoszrdPBrjpPOCbNF2wt2Doy4\n+jp/GXAbE9r3Y/7O5Xy3bx0ZBTno0NEhJJI7Ykdza5eheLm6V/h9ivYN13wNOnS08g5p0N/3hv5z\naw2DwUBwcDCzZs16EtilZaymWz+KonwLPKGqaqXtYRVFuQV4DwijZEtzvVMU5S3gZ0pu9zQHZlPy\nPlZ52C/symKxQHZGSb7IlRyRq+Xg/4Cc7D8P9vD6M0ekbaeyyau+/g6ZYGqN9PxsDl04pXncxpP7\naxyoXLH0yBarStCX7Az5F60Cwuka3samc2UVaMt1+HNc00obM5ktbDuXQ3xCOvsu5OHrquf69v6M\njfYj2NO6BNGhbXrg7KSvcLtvZVz1hnL9gCL8QhjWtgerj+20+nV6NI+myzU/I22DWvDqmLt5dczd\nFBYbMej1VuVaxUV1pn1wBEdTrN/nMLh1N1oFaA9wRMOhJVB5AXgZGK0oyouqqn5U+klFUVoCHwJj\ngd3ARHtN0g5aUFLvJRBIAX6nZIUorcpRQhOL2QTpaaW28pZOYk2G0m3nfQNKgpHwCOja+8/KqyFh\n6Dy96+8ialGejQ3uco32a4z3we/Wr+gUmYr5ZPNPfHizbZ83PFxs675rTdffxiAjv5gVxzNYdjyD\ntLxiOgS581T/cPpHemPQa0ugDvMOYHS73sQf2WL1mOs79a+w/siD/W5i7fHdVq+qPNy/6j/1FZXb\nr8r9cTfy1M8fWn38fXHjNb2+aHisDlRUVX1DUZRvgI+AfyuKMg24HzgI/BV4kZJViieAD1VVtXEx\n0v5UVZ1c/VHCGpbiy83xSm3lvXq7JvUCFF8uBKZzgoCgktWQNu0hbujVLr0Eh6FzbRpvRqV521gU\ny8fGcdfac/4Ye/84Uf2BpfxyeBOzc2cQ5Kk9d6CZTxBtA5tbteOntEGtyucuNBYWi4UjKfnEJ2Sw\n6WwWTjodQ1r6cF07f1oH1Ox34vFBt7H2xG7yjYXVHuvl4s6jl/sgXatfVGdeG3sPLy79b7UJus8M\nncy4DnE2zbcyk7qPYH9yInO3L6322OeGTWVomx52Pb9wPJpS61VVPQmMUxTlduBdYDtwHogAFlPN\nbSHRMFgK8ik+dQzL8aN/BiNX8kXKFDsz/Bl4xMT+ebsmOBwCg9Fp/CTV2Pm4edI3shNbrWioV9rI\ndvYphLbltHU1NkorNpvYdPogN3YaYNM52wVHaApUfN08K62Y2pAVFJtZfyqL+IR0TqYXEu5tYFr3\nEEa09sXL1T61W2LCWvHfW5/hvsVvk1fFKpyXizufKc/RLjii0mOm9xpLmHcAb/22iMMXT5d7vk1g\ncx4feGuZHUP29NrYe4nwC+U/m3/kYgVl/Jv7BvGXIbczqZttSdeiYbF1D+ByYANwGxAJ7AeelCCl\n4bP8cRbz3x7m6p8GN/eS3JDgMHS9B5XNF/ELrLfmeA3V9NixmgIVf3fvGiW0lpZXVP0n7YpsPLnf\npkBl7fFdmm5FANwXd+PVRoKNQVJWEUuPpbPmRCZ5RjO9mnsxrXsw3cM9caqFXKthbXvyy8w3+Hjz\nj/x8qGwxQTdnF26KGcSD/SZU27EYYEz7Poxp34ftZw+z6thOsgvz8HJxZ1DrbnWy6nV/3I38ZfRU\nFm6KZ33iXnKLCvB182RkdCwjomPRO2BxPlE7NAcqiqLcCbwN+AL/AFIpSU49rCjKS8C/L1erFQ1R\nUCi6u5/Et217slw9wcunwSavOqLrOsbRdUsb9ll5C+aJQbfh5uxil3PbusVZ6wrQFR9uWqLp+GY+\nQTw+8FabzuVITGYLO5JKkmP3JOfh7apnTLQfY6P9CPWyz/eyKu1DInlvwqP8bdRdbD1zkJzCfLxd\nPYiL6mxTa4DeER3pHdGxFmZaPRdnAzfFDGqUq2zCelq6J7cF/gMMBzYC96uqeujyc4sp6ffzPjBN\nUZT7VVXVtP1IOAadwQVd3DAMAQHoGvl2ufpg0Dsz//YXmfLVq9XuAHp0wC3c0/cGu517VHQv/rb8\nM83jLtnQFffoxTNs1nirKTn7EkmZKbTwC9F8PntIzc3gq92r2HUugUKTkQB3H8Z36s+odr2s+vSe\nWVDMyuOZLDuWTkpeMdGBbjzeL5yBUd64aEyOtYcAD2+7548IUR+0rKjsB/KA+1RV/V/pJy5Xqp2g\nKMpE4F/AVkVRPlRV9Qn7TVWIxiHYy48l01/ns22/snDXCs5npV59ToeOAa26cE+fGxhlp9yUKyL9\nQ9Gh01zB1Khhy+sVW2xYhTFbzGw9c7jOA5V8YyEvL/sf3+1fV64r9A8HN9DMJ4hZo+7ihk79y421\nWCwcTS1gaUI6v5/JxkkHg6JKkmPbBja9hHEhaoOWQGUx8FRVHYhVVV2iKMpK4HXgIUp2AAkhruHl\n6s7jg27lkQET2XLmECk5GTg76ekY2pI2gc1q5ZzJ2Zc0BylQUm9DK2t2nlSkqiTQ2lBQXMTUr/5e\n5e2t81mpPPDdO7xVmMfkHiMBKCyVHJuYXkiYl4E7ugUxoo0fPnZKjhVClNCyPflOK4/LAR5XFMUh\nq9IK4Uj0TnoGtOxSJ+eqaPeENZr7Bms63mQ2cSD5pE3n8nOv2xo6r6+ab1UOjgULz8V/Qgu/Nhy7\n5MHqxExyi8zENvNkardgejarneTYmjBbzBQWGxtUcnJmQS7f7l3LjnNHKDAWEeYfxMjWPRnetqdD\nNucUdaPWOn9JjooQjkVv4x96LSs8RSYj9337FiuP7dB8HneDK0OuqZRam7IL86zs9qvD16M9IT5x\nvL2pEG8XI6PalCTHhnnXfnKsFoXFRn4+tJF5O5axO+kYFiy4ObtwXYc4pvceR68W7et7ihUymor5\n+6p5fLV7VbnVuAXblhHpF8pLI6dxfcd+9TRDUZ+kRakQTUSUfxgeBjfNt1c6h7Wy+tjnfv3EpiAF\nYGLMIHzc6qaLNcB3+9eRW0W1YGcnD4K8exHs0wdXQwC5hedISvuRFfc8QkAdddvW4ljKOaZ9/Xq5\nppcFxUV8f2A93x9Yzw0d+/P+TY/ZbSeZPRSbTcxU32DN8co/257JuMD9i9/mzRseYEqPUXU4O+EI\nJFARoonwcnVnYswgvty90uoxbs4uKN2GWXXsyUt/oO5da9Pc/Ny9eKiaUuxGUzEGvf3+ZB1KPlXh\n456uLQj2iSPAs+SW3KXc/SRe/JrcwnMAnM+8jQCP1nabhz2cSb/AbQv+RkpuRpXH/XJ4E0ZTMf9T\n/uowt1Le/u3rKoOUKyxYeD7+U7qGtyVGQ/AsGj4JVIRoQu7qPY6v96zGZGUfl1u6DMHfyryR+TuX\n2ZSs6+/uzbzbXyjXWK7YbGLpka3M37mMbWcOU2w24WFwY1yHvkzvNZbYGt7GKL3DR6dzJsCzKyE+\ncXi6taDQmM759NWkZu+g2Fy2uWKRufjal6p3r6yYW22QcsXyhG38eOB3JnYZXMuzql6+sZAFO5db\nfXyx2cTc7fG8M/7hWpyVcDQSqAjRhHQKbcnr4+7l+fhPqw0qujdryyujZ1j92quPaU9L8zS4sfze\nt8sl7J5OT2baotfLld/PMxbw3f51fLd/Hdd1iOPN6x8kz1iAQe9MYAUN9qoS6uWPi7M/IT59CfLu\nhbPeg8y8oxxLnk9m3lGo5OsT6uWv6Ty1LSkzlVUab7fN27nMIQKVnw5tJKMgR9OYHw5s4G+j7sK3\nDm8TivolgYpodPaeP84XO5by+8n95BUV4O3mwcjoWKbHjiM6uPrS4Y3dnbFj8Hb1YPbKuVzMKf8p\nXK9zYnynAbx5wwN4aOhknFOYV/1B19KV31WUnH2JW+f/rUx9mYrEH9nC0iNbrwZcYd4BzOw3nps7\nDiTcJ7DScWaLhV3nc8ko7kOXiJ6YzIWkZu8gJWsrhcVVFznsE9FR8y6oquQbC1lyYD1f7lrJ8dQk\nTBYzzX2CULoNY3KPkRV2N77W9/vXWb1CdsX2s0c4eemPcqtYde3AH4maxxQUF3E89VyNV9REwyGB\nimg0sgpyeej7d1l7YneZxzMKcpi7fSlzty/l5i5DePuGhzS3nm9sbooZxPUd+7H0yFZ+PrSRtLws\nXJ0NdG8WzR09R9n0ZqwlqLnCs4Ixr62aV22QckXpVaHk7Ev834p5zFn7NR9OfJIx7fuUOTa70MSq\nExksO5ZBco6R1v6uOJk3svvMMswWo1Xnm95rrFXHXZGWm8nXe1az7ewRCoqL8Hf34roO/RjXoS9b\nzxzmge/eJj0/u8yY42lJ/N+ahbyz7hteG3dPtcmj1n6trvVHVlq9ByqFJuu+7te6tjCfaNwkUBGN\nQr6xkClfvsru88eqPO77/evIKsjlc+XZJt/UzKB35sbOA7ixs22dka81qFVXTl7S1pd0UKuy25HT\ncjP59fDmGs0j31jI/YvfZv7kFxjcujvH0wqIT0hnw+kszBYYGOnNUwOa0S7QjYPJQ7h5/kpy/bMZ\nCgAAIABJREFUi6p/wxzWpkeF1WkrUlhsZNaKz/lmz+pyb6o/H9qEv7s32QV5FFsqr/pbaDLyzC8f\nY7HA1J6VByt6GxuDOjvAz3+Ip2230YI9fe08E+HIHCPtW4gaem/Dt9UGKVesOraDBbtW1PKMmp67\neo3TPqZ32TFLDmywy6flYgu8smoDTy87xV+WnWJfci6TYoL4bGIbnhzQjPZB7uh0OmLCW/PllJer\nbdY3vG1PPr31Gave3ItMRqZ//ToLdi6v9FrS87OrDFJKe3Hpf7mQXfktqXbBkVa9TmnOTvp6X00B\nuClGe2fwLmGtrer+LBoPCVREg1dkMrJo9ypNY+bvWFZLs2m62odEcp2GJnhDWnenZ/N2ZR5Lyqq0\nQ4dVXJz9aB4whq6Rz+LtOYqi4lxeGNycTya04daYQPzcyi8i947oyIaHPuSlEdOI8g+9+riTzokR\n0bHMv/1F5t3+gtW3tt757Rs2nNxXo+sozWgu5qsqfr4nxgyq8BZaVca070Owl19Np1ZjbYNa0L9l\njKYx03qNqaXZCEclt35Eg7fi6HbSNHb4PZpylp3njjIqQCpd2tP7Ex7jUl5WtU0JezSL5j+3/KXc\n43qdLbcjdPi4tyXYpy9+Hh0wmQtJy9nJxaytRHnG0Dfi8WpfIcDDmwf738QD/SaQlpdJgbEIP3dv\nvFzdNc0k31jIwlpYrftm7xqeHKxU+Jy3qwe3dR3GFzuWWv16bQKbcY/6TzIKcnBzdqF3REem9BhZ\nL8HLrFEzuHnei1UW37uiT0RHbukytPYnJRyKBCqiwTudnlyn40TlPFzc+GrqLD7atISFu1aQfM0t\ni2BPPyb3GMljA2+psAdNdFBzq8+ld3IjyDuWYO++uLkEkVf4B6dTf+RSzp6rybFa+xvpdDqCPG1/\ns7Zlu601zmWkYLaYKy3S9uKIO9l7/rhVtz/dDa786/fvyjy29sRu3tugclu3Yfx9zD11mmweE9aK\nBZNfYuY3b1T5tYuL7MTnk55v8onwTZEEKqLJ0uFYTeQaC1dnA08OVnh04C2sObaTk+nJWCwWovxD\nGREdi0sV3Zhv7DyQV1bMJauKrc7uLuGE+MQR4NUNnc6J9NyDnEpZTE7hmXLH2rOS7RUWi4UNJ/ex\n8eR+co35eLt6MqpdL3o2b8dBG5sxVken01X58+rh4sbXd7zCUz//m/jDWyqskeOqN1BoMlba2brI\nVMyXu1ZyJv0C8ye/WOX3yd76RnZi3UP/4qvdq1i4awVJmX/uZOoXFcP0XmMZ16GvQyQAi7ongYpo\n8KL8w2wbF2DbOGEdZyc9o6/ZIlwdd4Mrk7qP4L9bfy7zuA49/l4xhPjE4eUWRVFxBskZ60jJ3k6x\nqfJP4Z1D7VtqffG+33h/w2ISL50v8/i/fl9Ml7DWhHjXTjG4KP9QdNV0Z/ZydefTW5/h1KVkFuxa\nzo7LW6L93L3pHNqKT7f8ZNW5Npzcxzu/fcPzI+6wx9StFuTpx2MDb+Xh/hNJzk6noLiIVuEtcCrS\nViNGND4SqIgGb3T73gR6+GjKU+kQHFkukVM4hmeHTWHnuaPsSkrARe9LsE8fgnx6Y9B7kZV3nOPJ\nC8nIOwJU/QbmpHPijiq29Wr17rpveGf9N5U+vz85EV1y7azSTdXQiK9lQBgvj5xe5rEHvntbU3uD\nhbtX8OQQpV6aF+qd9DT3DQIgwMuPS5eqLsInGj8JVESD56I3MKXHKD7Y+F31B182TWPhLke2O+kY\ni3av4mT6H1gsEOkXwuQeI+gd0bG+p2YTN2cXXhz1V979fR8FphBMliLSsneRkrWVAqP1u4LGtu9D\nC78Qu8zpp4MbqwxSrrCl11F13JxdmNR9hM3jU3MzWHZkm6YxGfk5/HxwI7dZ2ZBSiNokgYpoFB4f\ndCu/n9rH7qTqkwlHRfey6yft+nI8NYnHf3yfPeePl3l88+mSXSKdQ1vx3oRH6RTasn4mqFFukYk1\niZnEJ2RwPruIKN8o+rTQkXBhOzuLjuDh54aFCI6nJmGupmR8++AI3rrhIbvN7cNN39vttbTQAa0D\nm/HQ9+/QwjcYpdtw+kRqC0CPpSZhtKGR4uGLpzWPEaI2SKAiGgV3gyuLps7ioe/frbRlvA4dt3Qd\nwls3PNjgq9IevXiGm+e/REZ+5fkZBy+c5OZ5L/HtnbMZEhBQh7PT5lR6AfEJGaw7lYnRZCEuwptH\n+obRKcT9cl5GyzLH/35yP8/Hf1IuTwRKbveMbd+Ht254qNoibtbaee4oB2opSdbV2UBhceVVcS3A\noQunrv570Z7VdAyJ4n93vEBLT+vaHBhtLKBn6zgh7E0CFdFoeLt6sGDyS+z/4wTzdixjw8l95BYV\n4OvmyYjoWKbFjqWthu2vjspsMXP3t/+sMki5Irswj5nqPznyt6/rYGbWM5osbD6bzdKEdA6l5OPv\n7szEjoGMjvYjwL3qP0sDW3Vh/UMfsOHkPr7fv56LOekY9M50Cm3JQ8NuxRv75lVsP3vYpnHerh5k\nV7F7aVCrrvznlr+w7cxhFu5eyYnUJApNRlJzM6sMEg5fPM3ofz/OV1Nn0cuKxny2dnsO9Xbc4FY0\nLRKoiEanS3gb3h7/cH1Po9asPrZLU0+d81mp/LBvPSOiutfirKyTlmdk2bEMVh7PIL3AREyoB38d\n2Iy+Ed44O1mfiKrT6RjcuhuDW5ftFRQQEGD35Mt8Y5FN414cMY2C4kLm71h+dfVHh46hbbozrddY\nRkbH4qRzYnT7Pld3R13/2V/5Iyut2tfOLSrgbvUNtjz6nwrr0ZTWPiSSmLBWmlaFnHROTIwZZPXx\nQtQmCVSEaGBsqXz6v00/2Ryo7EpKYN6OZWw6dYA8YwE+l+uGTO81jjaBzaodb7FY2H8hj/iEdLae\ny8FF78SwVj5c186fSL+q32Qdgb+7t03jmvkEMiI6lnv63EB6fjb5xkJ83bwqrXa7/ezhcvlGVUnN\nzWTJgfXVdlcGmBY7lr/++rHVrz2ibU+bOmgLURskUBGigTliQ5LjwT8SNY/JyM/hge/eLte3JiM/\nh8+2/crn2+KZ1H04b1x3f4WF1fKMJtYmZhGfkM65rCIifF24JzaUYa198DA0nByh0e1787fln2Gq\nJoG3ND93r6s9bHQ6HQEePtWOWbBTewC6YOcKqwKV27oNZcmBDWw+faDaY/3dvXl51F2a5yJEbZFA\nRYgGpthsXdfd0owmbWNyi/K5feEr7E+uPMCxYOHrPavJKsjlk1ufvlre/XRGIUsT0ll7Mosik5m4\nCG8e6BNKTIhHtUXLHFEznyBGtevFsqPWb/FVug2r9pbMtUonzVrr8AXrglYXvYEvJj3PvYvfZH3i\n3kqPC/MOYN7tL1q1UiZEXZFARYgGJtTLv1wPneqE+WhLjHxn3TdVBimlxR/Zwtd71hIZ0Jv4hHQO\nXszH303PhI7+jGnrR6BH/fVmuZJYvfePExQWGwny9OXGzgO4tctQTQ0Hnx4y+WpydnXCvAO4P26C\n5rnassum2GyqsgdQaV6u7nw55WXWHt/NvJ3LWHt899Vt3h2CI7mz1xjNXxch6oIEKkI0MDd3GcLe\nP05oGjO11xirj803FvLNnjVWHWvQexPs04evD/ihczpPp2B3nh7QjLgIbwz6+ls9ScnJ4MHv3y13\nq+NEWhJbzxziH6sX8sKIO5luZeG/jqFRfDHpBe5W36iyD1GYdwBfTnmZMBt2zIR6B3A8LUnTmGAv\nX6uClCucdE6MiI5lRHQs+cZCsgpycTe44uPmqXW6QtQZCVSEaGCUbsN4Y+2XlTaXu5aL3pm74q4H\no3VVU+MPb6m2A7CXWytCfOLw8+yExVJMSs4e/j5yACOjo6w6R226lJfFxHkvVrkzKqconxeWfkq+\nsYAH+t1k1ev2bxnD8nvf4fPt8Xy7d22Zr1Golz9Teozirt5jbe6+fHOXwWw8tV/jmCE2nQtKag9p\nvT0lRH2QQEWIBsbHzZNXx8zkmV+s28Xx4ohphHj7W71t93R6coWPO+lcCPTqQYhvHO4uoeQXpXAu\nLZ607F2YLIUUGKOBttZeRq15Lv4Tq7dvv7ZqAQNadqFLeBurjo/0D+WV0TN4dtgUDiQnkltUgLer\nB92ata1xZ98JnQfy95Xzqg0Sr9ChY1qs9StlQjRUEqgI4UCKTEaSsy5hNJsI8vTFt5Il+Sk9RmE0\nmXh52f8q3Y2iQ8dLI6dxT98bajQnN0MwwT5xBHn3wEnnQkbeYc6k/kJ2gbbbT3UhKSOFZUe2Wn28\nBQtf7FjGOxrr7rgbXO3eS8nd4MprY+/h0R/et6pn0GMDbynTOfxiTjpf7lrJ4n2/cT4rFSedE9FB\nLbgjdjQ3xwzGw8XNrvMVoq5IoCKEAziTfoH5O5fzzd41XLrcBVqvc2J4255M7zWWoW16lNsxU/J4\ndxbsXMHXe1aTnp8NgK+bJ7d1G8a02LE27d4oefNzws+zIyE+cfi4t8FYnMOFzM2kZG3DaMqscFzL\nUm+aNXH04hnm7VzGusS95Bbm4+XqzvC2Pa2qLDxva7ymbcQAPxzYwOzRMx0iiXRil8EUmow8++t/\nqtzd9fSIKTzZ/9ar//5i+1JeWTG3XE+f/cmJPPvrf/jHmoV8euszDGjZpdbmLkRt0Vks9u/22Uj1\nBHampKRgNFbem6OxqI0Kn47IEa7zp4MbeeLHf1Foqvzn6sZOA3hvwmO4Ole8g8ZsMZNZkIvFAr5u\nHuV6GVl7nen5xfx6NJVF+87grPchp+A0FzO3kJ57AAuVv3F2DW/D0nveqvb1q5JvLOSJHz/gl8Ob\nKj3m5pjBvD3+4Uq/Dk/9+hHf7Fql+dxrH3ifdsERmsfVltPpyeUCUHeDKxNjBjE9diyDO/e6+v38\nfNuvvLz8s2pf01Vv4KupfyMuqnOtzt2eHOH3sy40hes0GAwEBwcDxAIVN2SrhKyoCFGPVh3bwSNL\n5lS7CvDToY3odDo+uvmpCp930jnZXEHVYrFwOCWf+IR0Np/NxkmnI8wzn3XH55FfZF2uh7W7ZypT\nZDIy7evX2XSq6oJk3x9YT3p+Nl/c/kKFOSEmi/YaMwAms7ZVmNoW5R/GSyOn8fzwqaTnZ2Mym/H3\n8MZFXzZAS8pM5ZUVc616zUKTkcd//BebH/1Y004hIeqbBCqiUTCZTaxI2M7ifb+RnH0JJ50T7YMj\nuDN2DN2a1X+CZ0XMFjMvL7O+4umPB39nas9Rdlu+zzeaWXcqk6UJGZzKKKSZt4HpPUIY3toXHZHc\nMu9n9lecV1vGdR3iULoNq9FcPtn8U7VByhVrT+xm7vZ47u07vtxzkTbcftLrnDTXmakreid9lbuI\nFu5aoelW17nMFFYl7LjaW0iIhkACFdHgrTuxh6d/+YjzWallHt+VlMCiPauJbdGejyY+SQu/kFqd\nR0FxEW7O1nfuXXN8F2cyLmg6x7wdy2ocqJzLKmRpQgZrEjMpKDbTu7kXM3qG0DXMA6ereTDufHPn\nbB747u1KK5nq0F0toV+TT+gms4n5O5drGjNvxzLu6XNDubydO/uM5d01izS91uh2vW1ejapv6l7r\n6t2U9vWeNRKoiAZFAhXRoK1I2M69375ZZeLhznNHuXHu8/w04x92D1bWJ+5l/o5lrD6+kyJTMXqd\nEwNbdWX65e641+aKlPbjgd81n2/50W3kGws1178oNlvYcjab+IR09ibn4eOq57p2JZVjQ7wqzvfw\ndfNk0dRZ7E46VtKU8PR+cosK8HPzYlS73kyLHUNrO5Ra/+3EnnJBZnVOXvqDzacPXu2nA5BXVMCs\n+P9pPv+0Gt62qi9GU7HmCsVQsqoiREPSZAIVRVEeBp4GwoC9wKOqqm6v31mJmriUl8XD38+xqvfN\nhZx0Hl4yhx9n/MMu584syOXeb98sV6DLZDGzLnEP6xL3EBPWinm3v1hpldKLuRmaz1tsNpGen211\noJJRUMzK4xmsOJHIxZwi2ge58WT/cAZEemPQW7cK0qN5ND2aR2ueq7Uqq9tizbgrgUphcUmOy+bT\nBzW9xtSeoxjcuptN569vtvZNcmqA/ZZE09YkMqoURZkEvAPMAnpQEqgsVxQlqF4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83nOJ868Etm7qW0XXdFxE7gmYhYk5mPNFhjHRZ0nBFxHGVC29bMvLzJwmq2oOMcmJeA14EVs8ZX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\nMqhIkqTOMqhIkqTOMqhIkqTOehNwMmw1ogVsTAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f70d9b194a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr.plotBestFit(lr.gradAscent(*X_y), lr.stocGradAscent0(*X_y), lr.stocGradAscent1(*X_y), X=X, y=y)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  },
  "toc": {
   "colors": {
    "hover_highlight": "#DAA520",
    "running_highlight": "#FF0000",
    "selected_highlight": "#FFD700"
   },
   "moveMenuLeft": true,
   "nav_menu": {
    "height": "12px",
    "width": "252px"
   },
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
   "threshold": 4,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": false,
   "widenNotebook": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
