{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Researching a Pairs Trading Strategy\n", "By Delaney Granizo-Mackenzie\n", "\n", "Part of the Quantopian Lecture Series:\n", "\n", "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n", "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n", "\n", "Notebook released under the Creative Commons Attribution 4.0 License.\n", "\n", "---\n", "Pairs trading is a nice example of a strategy based on mathematical analysis. The principle is as follows. Let's say you have a pair of securities X and Y that have some underlying economic link. An example might be two companies that manufacture the same product, or two companies in one supply chain. We'll start by constructing an artificial example." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## We start by generating two fake securities.\n", "We model X's daily returns by drawing from a normal distribution. Then we perform a cumulative sum to get the value of X on each day." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAy4AAAHiCAYAAAAOBphNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl4W/d5J/rvwQ4QIAGCC7iLFKmjXbJpyYtix3biLG1v\nmi7pbbN02umkN06bTKfpMplOl/ROmk4yTadNtzTdkqbTm2Zxmt12vMu2LInWQlkSRErcN5AESIAE\nAWI59w/ggCAJEtvByu/nefJEJkHgZxkA8Z53EyRJAhERERERUTlTlfoARERERERE6TBwISIiIiKi\nssfAhYiIiIiIyh4DFyIiIiIiKnsMXIiIiIiIqOwxcCEiIiIiorKnyeRGoiiOAvACiAAIOZ3O06Io\nngbwFwC0AMIAPux0Oi8U6JxERERERLSHZRS4AJAAPOx0Ot1JX/s0gN91Op1PiqL4zvg/P6L0AYmI\niIiIiLIpFRO2/PMMgLr4n60AphQ5ERERERER0RaCJElpbySK4h0Ay4iVin3e6XR+QRTFLgBnEcvG\nqADc73Q6Jwp5WCIiIiIi2psyLRU743Q6Z0RRbATwtCiKNwH8PoCPOp3OJ0RRfA+AfwDw2E53MDAw\nkD5CIiIiIiKiPa2/v39rpReADAMXp9M5E///eVEUnwBwGsBpp9P51vhNvgbg7zI4RGanJVLIwMAA\nn3dUdHzeUbHxOUelwOcdFcLAwMCO30vb4yKKokkURUv8zzUA3gbgGoBhURTfHL/ZowBu5X9UIiIi\nIiKi7TLJuDQDeEIURfn2/xKfJLYI4C9FUdQDWAPwy4U7JhERERER7WVpAxen0zkC4GSKr18EcG8h\nDkVERERERJQsm3HIREREREREJcHAhYiIiIiIyh4DFyIiIiIiKnsMXIiIiIiIqOwxcCEiIiIiorLH\nwIWIiIiIiMoeAxciIiIiIip7DFyIiIiIiKjsMXAhIiIiIqKyx8CFiIiIiIjKHgMXIiIiIiIqewxc\niIiIiIio7DFwISIiIiKissfAhYiIiIiIyh4DFyIiIiIiKnsMXIiIiIiIqOwxcCEiorRW1kL40B//\nEE88P1zqoxAR0R7FwIWIiNI6NziDqflVPHNhvNRHISKiPYqBCxERpfXy1WkAwNisD8srwRKfhoiI\n9iIGLkREtKuVtRAu33Il/nnw9kIJT0NERHsVAxciItrV+TdmEY5IuOdQMwBgcJiBCxERFR8DFyIi\n2tUr8TKxX/ixwzDo1My4EBFRSTBwISKiHfkDIbzudGFfSy26HLU43G3HxNwKPN5AqY9GRER7DAMX\nIiLa0fnrcwiFozhzohUAcKy3AQD7XIiIqPgYuBAR0Y5evjIFADhzPB647LcDAAZvL5bsTEREtDcx\ncCEiopT8gRAGbrrQ0WxBR7MFANDbboVRr8Hg8HyJT0dERHsNAxciIkpp4IYLoXAUb4qXiQGAWq3C\nkR47puZXsbi8VsLTERHRXsPAhYiIUjp7dXOZmOzY/nifC8ciExFRETFwISKibQLBMC7ecKG9yYxO\nh2XT9471ss+FiIiKj4ELERFtc/HmHNZDEZw53gpBEDZ9r6fNihqDhhkXIiIqKgYuRES0zctXYksn\nz5xo3fY9tUrAkZ4GzCyuYt7DPhciIioOBi5ERLRJYD2Mizfm0NpQg30ttSlvs7HPhdPFiIioOBi4\nEBHRJq/fdCGwHsGZE9vLxGSJfS7D7HMhIqLiYOBCRESbvHw1XiZ2fHuZmKy7tQ5moxZXb7PPhYiI\nioOBCxHRHvEXX72MP/qn83B7AzveJhiK4ML1WTjsJvS01e14O5VKwNH9drjcfsy5/YU4LhER0SYM\nXIiI9oDphRU8eW4Mrw7O4KN/8hxev+lKebtLThfWgqmniW2V6HMZZp8LEREVHgMXIqI94OzlWPnX\n6cMOrK6F8PtfeBVf/O51hCPRTbdLlImlmCa2VWIRJfe5EBFRETBwISLaA166PAWNWsB/+bm78OmP\nPIgWew2+9uwQPv6XZ+GKl3qFwhGcf2MWTfUm9LZb095nl6MWFpMOV4cXIElSof8ViIhoj2PgQkRU\n5SbmfBid8eJusRlmkw59HTb8719/Mx462YabYx589LPP49XBGVy6NQ9/IJxRmRgQ63M51mvHwtIa\nZhfZ50JERIXFwIWIqMq9dHkKAPDgyY3yL5NBi994fz9+9T0nEQpH8Uf/dB5/9bUrAIAzx1syvu/j\niXIxThcjIqLCYuBCRFTFJEnCS5enoNOocPqIY9P3BEHA2+/rwmf/80PoaLZgcTmABqsRBzptGd//\n0USDPgMXIiIqLE2pD0BERIUzOuPFpGsFDxxvgcmgTXmbrpZafPbXHsI3X7iNvg5rRmViss5mC6xm\nfaLPJZufJSIiygYzLkREVWyjTKxt19sZdBr87GMi+g82Z3X/ghDb5+L2BjC9sJrzOYmIiNJh4EJE\nVKXkMjGDTo17DmUXkGTjOMvFiIioCBi4EBFVqeHJJcwu+nH6iAMGXeEqg4/uZ+BCRESFx8CFiKhK\nvXgpszKxfLU3mWGz6HH1Nve5EBFR4TBwISKqQtGohLNXpmEyaNB/sKmgjyUIAo71NmDJF8Ska6Wg\nj0VERHsXAxcioirkHPNgYWkN9x1tgVajLvjjyX0uV1kuRkREBcLAhYioCr14eRJA4cvEZIe77QCA\noQlPUR6PiIj2HgYuRERVJhKV8PKVaVhMWpw80FiUx2xtqIFOo8LojLcoj0dERHsPAxcioipz/c4i\nPL4gHjjeCo26OG/zarUKnQ4Lxmd9iESiRXlMIiLaWxi4EBFVmcTSyRPFKROTdbfWIRSOYnKeDfpE\nRKQ8Bi5ERFUkEoni5avTsFr0OBpvmC+Wfa21AICRaZaLERGR8hi4EBFVkSvDC/CuruPM8VaoVUJR\nH7u7pQ4AMDq9XNTHJSKivYGBCxFRFTl7uThLJ1PpljMubNAnIqIC0GRyI1EURwF4AUQAhJxO5+n4\n1z8C4MPxr3/X6XT+dmGOSURE6YTCUbwyOAN7nQGH9tUX/fHNJh0arEZmXIiIqCAyClwASAAedjqd\nbvkLoig+AuBdAI47nc6QKIrFmblJREQpXbrlwupaCG891QlVkcvEZPtaanHxxhyWV4KoM+tLcgYi\nIqpO2ZSKbf0t+DiATzmdzhAAOJ3OecVORUREWUtMEzvZWrIzyOVio2zQJyIihWUauEgAfiiK4kVR\nFD8Y/1ofgIdEUTwniuLzoijeU5gjEhFRJq6PuFFn1uFAp61kZ+hujTXoj8ywXIyIiJSVaanYGafT\nORMvB3taFMWb8Z+1OZ3O+0RRPAXg3wD07HYnAwMD+Z2WKAd83lEpFPt5FwxF4XL70d2sx+uvv17U\nx062uhwCAFwcHEGHmcFLMfG9jkqBzzsqpowCF6fTORP//3lRFJ8AcBrAJIBvxL9+QRTFqCiKdqfT\nubjT/fT39ytwZKLMDQwM8HlHRVeK592tcQ+AaRw90Ib+/mNFfexkkaiELzz1XfiCWr72iojvdVQK\nfN5RIewWDKctFRNF0SSKoiX+5xoAbwMwCOCbAB6Nf/0AAN1uQQsRERXO+KwPANDZbCnpOdQqAV0O\nC8bnfAhHoiU9CxERVZdMelyaAbwkiuJlAK8B+I7T6XwKwD8A6BFFcRDAvwL4+cIdk4iIdjM2G2uG\n73SUNnABYpPFwpEoplwrpT4KERFVkbSlYk6ncwTAyRRfDwH4QCEORURE2Rmfi2dcHLUlPklSg/70\nMrpaSn8eIiKqDtmMQyYiojI1PuuDvc4As1Fb6qMkRiKPcCQyEREpiIELEVGF8wdCWFhaK3l/i2xf\nPMsyOsPAhYiIlMPAhYiowiUa88ugTAwAzCYdGm1GjExzHDIRESmHgQsRUYUbSwQu5ZFxAYDuljp4\nfEEs+YKlPgoREVUJBi5ERBVufC5WktVVRoHLvla5XIxZFyIiUgYDFyKiCieXinWUSY8LwAZ9IiJS\nHgMXIqIKNz7rRaPNCJOh9BPFZMkjkYmIiJTAwIWIqIKt+Nfh9gbLZqKYzGGvgU6r5mQxIiJSDAMX\nIqIKJjfmd5XJRDGZWiVgX4sFE3M+hMLRUh+HiIiqAAMXIqIKNj5XfhPFZN2tdQhHJEy6fKU+ChER\nVQEGLkREFWw8XopVjoELF1ESEZGSGLgQEVUwOePS0VR+gctGgz4DFyIiyh8DFyKiCjY+64PDboJB\nryn1UbaRMy6cLEZEREpg4EJEVKGWV4JYWgmis7m8GvNlNUYtmmxGlooREZEiGLgQEVUoefFkOfa3\nyLpb67DkC8LjC5T6KEREVOEYuBARVajx2fJtzJfta5XLxZh1ISKi/DBwISKqUGPyKOQyWz6ZrLsl\n1qA/ysCFiIjyxMCFiKhCjc/6oBKA9nIOXOSMywwb9ImIKD8MXIiIKpAkSRif9cJhr4Feqy71cXbk\nsNdAr1Mz40JERHlj4EJEVIGWfEH4/KGy7m8BAJVKwD5HLSbmfAiFo6U+DhERVTAGLkREFWhjolh5\njkJOtq+1FpGohEmXr9RHISKiCsbAhYioAo3NxUqvuso84wLERiIDXERJRLQXhCOFy64zcCEiqkAV\nlXFp4UhkIqJqF41K+POvXMJ7f/f7BdvdxcCFiKgCjc/6oFIJaGusKfVR0pIni7FBn4ioOkmShL/6\n+hU8fX4ca8EwRqYK837PwIWIqMLIE8VaG2qg1ZTvRDGZyaBFc70JIzPLkCSp1MchIiIFSZKEv31i\nEE+eG4NBF/udNOteLchjMXAhIqowbm8Aq4EwuiqgTEy2r6UWyyvrWPIFS30UIiJSiCRJ+Idvv4Hv\nvDyCLocFv/n+ewAAs4v+gjweAxciogozNiP3t5R/Y75so0Gf5WJERNXiX35wE9984TbaGs34fz/0\nAPo6rQCAOWZciIgIAMbjE8UqKXDp64j9Mrt0y1XikxARkRK+8rQTX/nhLbTYa/DJxx+AzWKA1ayH\nXqdmxoWIiGISE8WaKydwuUtshMWkw3MDE1xESURU4b7x3DC+/IObaLIZ8T8efwD2OiMAQBAENNeb\nMLu4WpCeRgYuREQVZnzWB41aQGujudRHyZhWo8aj93RgeWUd56/Plvo4RESUo2+/dAf/+J03YK8z\n4JOPn0GTzbTp+476GvgDYayshRR/bAYuVJWiUQnffukOFn3hUh+FSFGSJGF8zou2RjM06sp6C3/s\n3k4AwFOvjZX4JERElIuLN+bwt98chNWixycfPwOHfftIfoc9FsjMFaBcrLJ+6xFl6PKtefztNwfx\nwiAbgam6zHvWsBaMVMTiya26HLUQu2y45HRh3rNW6uMQEVGWXnh9EgDwO794Gm07ZP2b44FLIUYi\nM3ChqvTK4DQAYNq9ntPPRyJRvO50IRLlzgkqL+NzlTdRLNnb7u2CJAE/vDBe6qMQEVEWJEnC5aF5\n2Cx6iJ22HW/nqI9lYQrRoM/AhapOJCrhtWuxGvoFbxj+QPY1ls9enMDv/+2r+MZzQ0ofjygvYzOx\nLGJXhQYuD55sg1GvxtPnx3hhgIiogozP+rDkC+LEgUYIgrDj7RIZl0VmXIjSujnqxtJKEKr4a+r2\n5HLW93HtziIA4OvPDWPFn1vWhqgQNjIulVcqBgBGvQYPnmzHvGcNV4bmS30cIiLK0OX4e/bJvsZd\nb9dcH+9xcTPjQpTWuWszAIBH74k1Ag9NLGV9H84xDwBgdS2Ebzw/rNzhiPI0PuuFVqNK2RBZKdik\nT0RUeS7figUuJ9IELgadBlaLns35ROlIkoRXBmdg1Gvwk4/0AgCGJ7MLXFb865iaX8GhffWor9Xj\nWy/dgccbKMRxibISjUoYn1tBe5MZatXOafpyJ3ba0Omw4LVrM1heCZb6OERElEY4EsW12wtobzKj\nwWpMe3tHvQkujx+RiLJ7uxi4UFUZmfbC5fbj1OFmtDeZYdSpMJxlxuVW/PbHehvwfz8mIrgewb89\nc6sQxyXKypzbj/VQBJ3NlVkmJhMEAW+7twvhiITnBiZLfRwiIkrDOeZBYD2StkxM5rDXIBKVsLCs\n7IVfBi5UVeRpYvcfa4EgCGit12JmcTWrPhW5TEzstOGx011w2E34waujcBWgVpMoG+Oz8cb8lsps\nzE/28N3t0KhVeOq1sYJsVyYiIuXIPYknDmQWuMgN+nMKj0Rm4FLFpudX8N7f/T4Gbs6V+ihFc25w\nBlqNCv0HmwEArXYdgOz6XG6NxwKXA502aDUqvPftBxGOSPjXp5zKH5goC4nG/ObKD1zqzHrcd9SB\niTlf4mIBERGVp8u35qESgGP7GzK6vaNeniym7EVfBi5V7MaoGz7/Ol68NFXqoxTF9PwKxmZ9uOtA\nE4x6DQCgtT4WuGTa5yJJEpxjHjTVm2C16AEAD93Vjk6HBc9eHMdE/IMjUSmMzVT2RLGt3nZvFwA2\n6RMRlTN/IATnuAd9nTbUGLUZ/UyzXd7lwowLZcgdbyi/Meou8UmK49XB2DSx+4+1JL7Wao+9wDLN\nuMwsrsLnX8fBpMVKapWA97/jEKIS8C8/uKngiYkyJ0kSro8uwmLSJUZNVroTfY1oshnx0uWpnPYt\nERFR4V27s4hoVMq4vwXYWEKp9EhkBi5VzOOLTeuZWVjFkq/6J/e8OjgDlUrA6SOOxNdqjWpYLfqM\nMy634iUrB7o2b4S976gDBzqtePnqdNbN/kRKmHP7Me9Zw9H9dqgqeKJYMpVKwGP3diGwHsFLl6dL\nfRwiIkrhyq3s+lsAoL7OAI1aUHwkMgOXKuZOGuFb7VmXxeU1OMc9ONpjR22NLvF1QRDQ227FvGct\no+DNOb7RmJ9MEAT8/DsPAwD++Qc3FDw5UWau3Y4tRT26317ikyjrLfd0QiUAT7NcjIioLF0emode\np8bBLRd1d6NWCWiymTDL5nzKlGcPBS7nUpSJyfo6rAAy63NxjnmgUQvoaavb9r0TBxpxvLcBr990\n4drthTxPTJSdwfhzLtPGyErRaDPiLrEJznEPxma8pT4OERElcXsDGJ/14UiPHVqNOqufddhrsLyy\njrVgWLHzMHCpYh5vEDVGLVQqATdGFkt9nIJ69VoscLnv6PbApTceuKTrc1kPRTAyvYzu1jrotKlf\nnB/4kUMAgC997wZHuFJRXbu9AItJi64qacxPlmjSP8+sCxFROZHHIGfT3yLbGImsXLkYA5cqJUkS\n3L4AmutN6GmtxfDkMtZDkaKfIRIt/Id77+o6Bm8v4kCnNeU21772eMYlTeByZ3oZ4Yi0rUws2cGu\netx7xIEbo24M3HTld3CiDM25/XB51nCkp3r6W5KdOuyA1azHcxcnNmWKiYiotC7H+1tOZtHfItsY\niaxcuZhGsXuisrIWDCO4HkF9rQEtDTUYnlzG8OQSDncXvj4+FI7guYFJfOO5IQTXI/jk42fQ2mgu\n2ONduD6LaFRKmW0BAFutAQ11BgxP7r4rIrF4Mk0N5/vfeQjnr8/in793A0d77DDo+TKiwrpWpWVi\nMq1Ghbec6sDXnxvGz3/iSTTVm3Cw04YDXTaIXTb07JIFJSKiwpAkCVeG5lFn1uWU7d8YiaxcxoWf\nuKqU3Jhvs+hxaF89vv3SHdwYcRc0cPEHQnjy3Bi++cJtuL0BaNQCwhEJ//3zr+CPf+VNaLIVZoSr\nPAb5geOtO96mt8OKc9dmsbi8Bnvd9qwMsPNEsa32tdTizXe14/nXJ/G+3/8B+g824czxVpw63AyT\nIbP55kTZ2GjMr87ABQDe+/aDqDFqcX3EDeeYBy9ensKLl2M7qDRqAd2tdTje24APvPMQ1GoWCxAR\nFdqkawWLywE8dLItp2y/nHGZY8aF0vF4YxO06msNOLSvHkDhGvSXV4L49kt38J2XR7C6FoJRr8ZP\nPNyLH3+oB88NTOKL372O3/2bV/DHv/om2CwGRR87EAzjktOFjmYL2nbJ6siBy/DE0o6Bi3PcA4tJ\nh5b4FYLdPP5Tx9Fcb8LZK9N4dXAGrw7OQKNW4W6xCWdOtOD0YQfMJl3a+yHKxODtBZiNWuxrqb7+\nFplOq8Z73nIAQOwq3+yiH85xD5xjbtwa9+DO1DKGJmJZ4+SR50REVBhyf0s2Y5CTOeSMi4I9Lgxc\nqlQi41JrQIPViEabETfH3JAkCYKQW428JElYDYThXQlieWUdy6tBXLk1j6fOj2M9FEFtjQ7vf8dB\n/OiZ7sSH9p9+tA/+QAhffWYIv/f5V/FHHz4Di4If6AecLqyHo3ggxTSxZH3tsSzK0MQS7k1RUrbk\nC2LO7cc9h5oz+vsxGbR4/zsP4X3vOIjxOR9euTqDV65O4/z1WZy/Pgt1fJ/Mb77/Hmg1vDpMuXN5\n/Jhz+3HvEUdV9rekIggCWhpq0NJQg4fvbgcAvHFnEf/1L8/iwo05Bi5EREWQ6G/JoTEfAGqMWpiN\nWswpOBKZgUuV8vhigUt9rR4AcGhfPV68NIXphdVdMxPJhieW8M/fvwGPL4DllSC8q+sIR7Y32zfZ\njPiJh3vx1tOdMOi2P6U+8M5DWAuE8Z2XR/CJL5zDH/4/9ytWUvXq1fg0sTSBy/722HjjoR1GIt+K\n7285sEtjfiqCIKDLUYsuRy1+7m0ipuZX8MrVaTz92jheHZzBnakliF31Wd0nUbK9UCaWiYNdNlhM\nWly8PgtJOp7zBRgiIkovEoli8PYCWuw1aKrPvdTfYTdhfNaX14XzZAxcqtTi8kbGBQAOxwOXGyOL\nGQcu//qUE687XTDqNagz67C/zYpasw51NXrUmXWoM+vhsNfg1OFmaHapORcEAR989zH4g2E8e3EC\nn/zH8/i9/3Qf9Ds020aiEi45XXjh9UnotGo8ek8HDnfXb3vCh8JRXLgxiyabEftT7F1JVmfWo7ne\nhOGJpZQvnp0WT2arrdGM97zlACwmHf7ya1cwMbey5wKXm6Nu/P23ruF3fvFeWC36Uh+n4m005lfX\n4slsqdUq3C0244VLkxid8aK7dffXPBER5W5ocgn+QBgP3dWe1/0022MDojy+IOpr828XYOBSpRI9\nLvGekoOJPhcP3nq6K+3Pe1fXMXBzDt2ttfjzjz2S93lUKgEf/ZmTWAuG8ergDP74ixfwO794elPA\nM7u4ih+eH8czF8axsLwxEvWp18bQ0lCDt5zqwKP9nWi0xXpUrg7Pwx8I462nOzOK4ns7rHj5yjTm\nPWvbrh44x2L9Pwc6rXn/uwJAR7MFADAx51Pk/irJuWszuDnmweDtBTx4sq3Ux6l4124vosagwT5+\nUMc9h2OBy4XrcwxciIgK6EqeZWKy5JHIDFxoR3KpmC1eKravpRZGvRo3RjNbRPnylSlEolKivlwJ\narUKv/n+fvyPfziPizfm8Nn/8zo++jMnce6NWTz92hiuDseuLJsMGrzj/n147HQn1gJh/PDCOF65\nOo0vf/8m/uUHN3GyrxFvPd2Z2KPywLGdp4kl62uPBS5Dk0ubApdoVMLQxBLaGs2KNdQnAhfX3gtc\nFuP9VfOetRKfpPLNe9Yws7iK04cdUO+R/pbd9B9sgkoALt6Yw8+89UCpj0NEVLUuD81DEIBjvfmV\nKSePRFZism1GgYsoiqMAvAAiAEJOp/N00vc+BuAzABqcTmdhxlZR1tzeACwmHbSaWDmWWq2C2FmP\ny0Pz8PnX0zbIPzcwCUFA3inCrbQaNT7+C6fwB184h5cuT+HVwRmEI1EAwJEeO952byceON66qVfm\nxIFGfOgnj+Oly1P44YVxXLo1j0vxKwF1Zl0im5ROb0csmzI07sGZpNHJky4f/IEw7juaX5lYstoa\nHaxm/Z7MuLjj2bL5JeWmiOxV1+7Ey8R693aZmMxiir3eb466sbwSRJ2ZpYhEREoLBMO4OerG/rY6\n1Nbkd0FX6ZHImWZcJAAPbw1MRFHsAPAYgDFFTkOK8XgD27bIH9wXC1xujrpx6vDOU3lmF1dxY9SN\n470NKTfR58ug0+B3/+O9+IMvvAqXx49H+jvw2L1du/be1Bi1eMf9+/CO+/dhYs6HZy6M4+Wr03js\ndFfGV6L3t8cCl+EtDfry4slsG/PT6Wi24NqdBQRDkR37eaqRmxkXxSQa83v2dmN+snsONeP6iBuv\nO114pL+j1MchIqo6b4wsIhyRcCLPMjFA+ZHI2ZSKpfp0+FkAvwXg3xU5DSkiGIpgNRBG35ZawkPd\nG/tcdgtcXrg0CQCKloltVWPU4tMfeTCnCRMdzRb8wo8dwS/82JGsfs5s1KK1oWZbg36iMT/N4sls\ntTebMXh7AVOuFfSkGR5QTRKByxIDl3wN3l6AyaBB9x56/qRz6rADX/reDVy8PsfAhYioABJjkHPc\n35Ks0WaESgDmFApcMl0wIQH4oSiKF0VR/CAAiKL44wAmnU7nVUVOQorxeOVRyJsDl4NdNggCcH1k\n54o+SZLw/MAktBrVrpvolVCKcaZ9HTasBsKYSUpZ3hr3QKdRKb7crzPe5zK+h8rF1oJh+ANhAMAC\nA5e8LC6vYWZhFUd67OxvSdLlsKDRZsSA04VIvMyUiIiUc2VoHlqNCoeU6ElRq9BgNWK2yKViZ5xO\n54woio0AnhZF8SaAjwN4W9Jt0v5mHRgYyOGIlK3x+dhEsaB/advfeVOdFs6xRZy/cDHlh6Fp9zom\nXSs43GHEzevVEZMm/x0YhFgQ8dQLl3BsnwnBUBSjM160N+hw5fIlRR93Ld7rceHyLVikOUXvu1wt\nekOJP3tX1/Hqaxeg26MLOPN9v7s6Grs6ZdUH+N65RVeDCheHQvjmU+ewr4l9LjI+T6gU+LyrLiuB\nCEamvehu1uPa1cuK3KdJF8XoXBDnzl+EVp3fhbiMAhen0zkT//95URSfAPBmAN0AroiiCADtAAZE\nUTztdDpdO91Pf39/XoelzASuTAOYx+G+LvT379/0vbtHr+D7r4zC2rw/ZU/H5W9dA+DCu99yDP1p\nljpWgoGBgU3PO4NtEU++fhYRrQ39/UcxeHsBkjSN/sMd6O8/quhjd3sD+NKzTyKkMu+Z5/7g7QUA\nG0FaR/dBtDdZSnegEtn6vMvFq3cuA3DjnW8+gb4OZcsYK13UOIuLQ6/BF6lDf392JaPVSonnHFG2\n+LyrPi8w8yY6AAAgAElEQVRemgQwgwf7e9Dfr8z0xpeHL2F0bhzt+8SMPhPsFgynvRQqiqJJFEVL\n/M81iGVZzjudzman09ntdDq7AUwCuHu3oGWveunyFL579k5RSxrkHgNbinnZh+MTuFKVi0WiEl68\nNAmzUYt7DjUV9pAl0tNWB0EAhiZiDfq3xgrT3wIANoseNQYNJvfQSGR5opgtvniSDfq5u3Z7AUa9\nBj3cV7LNsd4G6DQqXLixNzKZRETFcmUoNs1Sif4WWbNd3uWSf59LJjUczQBeEkXxMoDXAHzH6XQ+\nteU2Ut4nqVJ/9++D+JsnBvFf//IspudXivKY8g6XVIt+5HrFVPtcBofn4fYGceZEa2KMcrUx6jVo\nb7LgztQSIlEp0Ziv9EQxINbD09FswfT8amLkc7WTg2Y5EGSDfm7c3gCm5uP9Leq9WWq3G4NOg+N9\njRif9SnW8ElEtNdJkoTLt1wwG7XoaVNmITcAOOpjk8WUGImc9jei0+kccTqdJ+P/O+p0Oj+V4jY9\n3OGyXSAYhtsbhE6jws0xDz762efx3bN3EI0WNs7byLhsr/1ushlRX6vHjRE3JGnzOZ5/PTZNrNon\n9fR1WLEWjGB6fgXOMQ/qa/VoLMDYZyA2AS0SlTCzoExTWrmTn3tyIMiMS26u3Y7vb9nP/S07OXW4\nGQBw8fpsiU9CRFQdZhf9cHnWcLyvQdGhMA4546LAhSZeyisg+T/Qo6c68VsfuAc6jQp/88Qgfv9v\nXy3oBzqPN9acX2/ZnnERBAGH9tnh8QU3XakMhiJ45eoMGm1GHMpwoWOl6osvojx3bQZubwAHOm0F\nm3DWUaDJYl9/dghf+t51BIJhRe83X3Kp2MGu2HOIk8VyMyjvb9nP/S07uedQLHBhuRgRkTIuD8XH\nICuwvyVZs5xxYeBS3uSr7C12Ex482Ya/+M1Hcc+hZlwemsdH/tezePbixLashxLc3gCMeg0M+tSz\nF5L3ucjOvzGLtWAYb76rHaoqH73aGw9cvvfKKIDClInJ5MBlUsHAJRyJ4kvfv4GvPjOEj372ebxx\nZ3vZX6ksegMQhI2/4/kllvHkYnB4AUa9Gvu5v2VHTTYTuhwWXB1eKLsAnoioEl2J7285oWB/CwDU\nmXUw6NSKjERm4FJAc+7YfyB5a2h9rQG/90v34lffcxJRScKf/uvr+NQXL2B5Jajo47q9AdSnKBOT\nyRmV5MDl+YH40sn+wi2dLBfdrXVQqYRENkDODhRCITIuLrcf0agEe50Bs4ur+PhfncXff+sagqGI\nYo+RK7c3AKtZD6NeA6tZz1KxHHi8AUzNr+BQN/tb0jl12IFQOIqrwwulPgoRUUWLRCVcHZ5Ho82I\nlvjnVqUIggCHvQazi/68L9jzt2IByRkXR9ITQBAEvP2+Lvz5xx7B0f12vDo4gz/7inL7Q0LhKLyr\n66iv3blno6etDjqtGjfik8W8q+sYuDmH7tZadDmUXcJYjvRaNbocsYBClZQdKIRGqxF6nRqTc8oN\nZpiOP6/e+cA+/M9feRAt9hp884Xb+M9/8jycY6VrNZMkKRY018VKFBtsRswvrRUkq1jNrsXLxI6x\nTCwtlosRESljZGoZPn8IJ/saC1I+31xvwlowDJ8/lP7Gu2DgUkDy2De5KSmZw16DT37oDJpsxsRo\nXiUs+WLZm1SN+TKNWoUDnVaMzXqxuhbCy1emEIlKePju6m7KT9bbHgtWOh21MO5QUqcElUpAe5MZ\nky4fIgoNZZCn07XazTjUXY8/+9jDeNdDPZheWMFvfe4lfPG71xEKFz/74g+EEVyPJKbZNVqNCIWj\nWF5ZL/pZKtngHTbmZ+pglw1moxYXr88yQCYiyoPc33JC4f4W2cZI5PzKxRi4FNDM4irqzDqYDNqU\n31epBLQ2mLHkCypWo73bKORkh/bVQ5IA55gHzw1MQhCAN9/dpsgZKkFfvK+lkP0tso5mC9bDUcx7\nlOn3SPRONcYyeQadBh/88WP4o8fPoKnehK89O4Rf+9MXMDbrVeTxMiVPFEsOXAD2uWTr2u0FGHRq\n7G8vXCawWqjVKtx9sAkLywGMzhT3+U5EVE3k/pbjfYXJ9m+MRM7vMwEDlwKJRCW43P5NZWKpOBpi\n31diRByQNAo5xUSxZHKfy/OvT+DGqBvH9jfAXleYkcDl6N4jDhzssuGtpzoL/lgdTcr2ucilYq0N\nm59bR/c34M8/9gh+9Ew3xmd9+OuvX1Xk8TIlTxSzy4GLLfZ84mSxzHl8AUzMreBwtx0a9rdk5NRh\nBwDgwnWWixER5WI9FMH1kUXsa6lN+/kxVxsjkZlxKUsLS2uIRKVEhLmTlvh/SKX2fHgSV713LhUD\ngIPxwOU5uSn/7upvyk9WX2vAZz76UGLCWiHJDfoTs0oFLiuwmvUpM3lGvQYf+snjELtsuDHqxupa\nfrWk2ViUn3t1csYl9txmg37m5AlxR1kmlrH+g01QCcBF9rkQEeXkxqgb6+EoTio8TSxZc33sM0G+\nI5EZuBTIrNyY37C9vyWZnJFRYkQcALi9co/L7hGzxaRLfKDWalR44HirIo9P23U0mwEAE678A5dQ\nOAqX24+Wht0D4n6xCdGohCvxmtVi2FYqZpNLxRi4ZEqe9Hekh4FLpiwmHcSuetwccys+oZGIaC+4\nUuD+FgBoqmePS1mbWZR3uKTJuMQ/gM4oFLhk2uMCbJSLnT7sQI0xdR8O5a/FXgONWsCEAqViLo8f\nUQlobdz9eXXXwSYAwOtOV96Pmakde1yYccmYXPvbHi8vpMycOtwMSSru852IqFpcvjUPtUoo6EUz\ng06D+lp9YnBVrhi4FIgcUabrcZFTZ7MKlYolelwyCFzuPeqAIADvvH+fIo9NqanVKrQ2mjExt5L3\n5CN5oli6jEtfR2za0utOV9GmLck9LnKpWJ1ZD41axeb8LMx71mDQqWEx8UJCNuQ+l4vscyEiysqK\nfx3Dk0s4uK++oFNWAaC5vgbzS2uIRKI53wcDlwLZbRRyMpNBizqzLu8IVObxBqDTqFBjSP/kO33Y\ngX/75I8qviGVtutotmAtGMZi/MN9rmYSjfnmXW+nVgk4eaAR8541TLqU2yGzG7c3AJVKQF1NrL9K\npRLQYDUw45IFl8ePRpuxIDP0q1mXw4IGqxEDTldevxCJiPaaq8MLkKTClonJmu0mRKNSXiXkDFwK\nZGZxFTqtOqOSLYe9Bi6PX5FfuG5vELZaQ8YffAwFjq4pRp4slm+52E4TxVLpL3K52KI3gHqLHirV\nxnOv0WqCxxcsyV6ZSuMPhLCyFkKjbfeLHbSdIAi460AjVtdCGFNoCAYR0V4g7285WYTARYmRyAxc\nCkCSJMwursJhN2UUQLTYaxDJMwIFYiOYl1aCGQVLVFydzQoFLhmWigHAXWLxAhdJkuBeDiTKxGRy\ng36+maa9QH79y71BlB15N9PwpHILfYmIKo0kSfjS967j+shiRre/cmseRr0GfZ2F3x2mxEhkBi4F\n4POH4A+E045Clsl9MPmORPauBhGNSrClGYVMxdeemCyWX9nW9MIqrJbUo5C3stcZsa+lFteGFxAM\nFTbj4fOHEI5EtwXNbNDPnPx31MSMS0764gs7hycYuBDR3jU+58NXnxnCp754AT7/+q63dbn9mF5Y\nxbH9DUXZHabESGQGLgWQaMxPMwpZ1tKgzIg4T3wUcn2BlgdR7toazVAJ+WVcQuEo5j3+jMrEZHeJ\nTVgPRxP7QQpl60Qx2cZIZDbopzPvif0dyX9nlJ2uFgs0aoEZFyLa0+RBOUu+IP7+W9d2ve3GGOSG\ngp8LSF4BwsCloLKdyiRnTtKNQpYlMi55Nui7tywApPKh06rhsNfkFbjMuVcRlTIrE5P1y+ViNwtb\nLrZ1opiMSygz52LGJS9ajRr7WmoxMu1FKMwGfSLam+TPgiqVgGcuTODSLuXicn9LsYY01dcaoFGr\n8rpQz8Aljf/vaSf+wyeezGoDeaajkGUtCi2hTIxCZsalLHU0W+BdXc95Sd50hhPFkh3uqYdep86q\nz2V2cRUf/ZPndn2z28rtjX3otm/JuDRYY//MJZTpycEde1xyt7/dinAkirFZb6mPQkRUEvJnwfe9\n/SBUKgF/8bUrCATD224nSRKuDi3AZtEn+nALTaUS0FxvYsalkAaHF+DxBXFr3JPxz2Q6Cllmtehh\n0KkVKBXLfPkkFV9Hng36iVHIaZZPJtNq1Di2vwETc76Msx5fefoWRqa9eGVwJuPHWUw89zZ/6G6Q\ne1wYuKTl8vihUgmwM2Oas76OWJ/LbZaLEdEeJQ/DOXW4GT/5cC9cbj/++Qc3tt1ubNaHpZUgThxo\nLOoIfofdBJ9/HStZJASSMXBJQ24gGsqi4XNmcRWCsNGElI4gCHDYazC7uJrXssCN5ZNszi9HHXKD\nfo6BS2KiWIaZPNndWUwXm/es4bmBCQDZnXOnUjGTQQuzUctSsQzML63BXmeAuggNktWqN96gn837\nNRFRNUnuOf3Zt4lobajBt1+6g5tj7k23u3yreGOQk+1rqQWQ+wUm/obcRSQSxUL8SnE2DZ+zi6to\nsBqh1agz/hmH3YS1YATLK7tPgNiNxxdvzmfGpSzJGZfxXAMXuXcqix4XIHmfS/qt4t98YRiRaCx4\nnnRlEbjsku1rtBmxsOTPKyivduFIFO7lNZaJ5anTUQuNWlV2GZdQOIrPP3EVI9PLpT4KEVU593IA\nGrUAi0kHvVaNj/zMSUgS8Ll/u7yp/2+jMb+4gUtfR3x0fY4XmBi47GLRG0h8iMv0Cl4wFMHiciDr\nq+IOBfpc3N4A1KrYk5XKT3t8CeXkXG4jkWcWVmHLcBRyspaGGjTXm3Dl1vyuS06XV4J48rUxNNQZ\ncLfYhOWVzPtx3N4ANGoVLKbtZ2u0xoLybPrE9hr3cgBRiY35+dJqVOhurcXojLeslp4O3l7Ad86O\n4N9fvF3qoxBRlVv0BmCrNSSWQR/d34B33r8P47M+fO2ZWwBiF1Ou3V5Ae5M5UdJdLHJJb66ZcQYu\nu3AlzZleWFqDx5d+iZ78M5mWicnkq+gzeQQuHm8Ati2by6l8GPUaNNqMOWVc5FHI2WZbgFgp4t0H\nm7AaCMO5S6/Wd86OILgewU883Ivu1lgqdzLDvTPy8slUdbIbI5FZLrYTF0chK6a3w4pwRMLoTPk0\n6MtllyNTpTlTOBJNu8+BiCpfNCrB4w1sq374hR87jIY6A/7tmVsYm/Xi1rgHgfVI0bMtQOz3XJ1Z\nh6GJzHvHkzFw2YX8YUJuls0krSUHHtl+wExkXHJcQilJEtzeIGwsEytrHU0WuL2BrLMPs4uxUcjZ\nTBRLlq7PxR8I4Ttn78Bi0uFt93YlskOZBFnRqAS3L7htopisgUso05JHITcy45I3uc9leLJ8yrLk\nwGV8rjSjmr/43ev4T598OueJhkRUGbyr64hEpW2Bi8mgxeM/fQLhiITPfeVy4rNAKQIXQRDQ12GD\ny7OW03sSA5ddzLljHybOHG8FkFngIgcemY5ClrXY88u4rKyl3lxO5SUxWSyL/hFg43mRzUSxZMd7\nG6BWCTvuc3ny3BhW1kL4vx7sgUGvSQwSmMwgcFleDSKa4o1S1pgIXLiEcifygk72uORPLkPItX66\nEMZnY6+jcETKa5dTrq4MzcMfCONagRfRElFpyf2mqS4knj7swEN3tcE57sETzw9DJQDHeouzeHKr\nfAapMHDZhVz29UA8cBnKoOEzkXHJMnBptBmhUgk5z7bemCjGwKWcZRMQJJuezy2TJzMZtDjUXY/h\nyaVtVzhC4Qi++cJtGPVq/NibuuPnzHx0804TxWQsFUtvPrF8koFLvjqaLdBqVFkNVCkkSdocrNyZ\nKm4mKBSOJh7/DQYuRFUt3SLyX373MVhMOoTCUfR12GA2Ztczq5S+TgYuBSGXivV1WNFgNWJoYint\nZKRsd7jINGoVmmzGnDMuiR0uFo5CLmcbk8Wya9CfXojdPtdSMSBWLiZJGyMQZc9enITbG8Db79uX\nGOxgMmhhrzNkFrik2R/UaI29Fhi47GyepWKK0ahV6Gmtw9iMF+uh0jfoL60EsbIWSpQc3ynyZLFJ\nlw/hSOz3FgMXouom73DZ6fdxnVmPX/6JYwCAew43F+1cW/UlMi7Z97kwcNnFnNuP+lo9dFo1+jqs\nWPIFE0+KncwursJs1MKcw2QvR30NlnxBrKXYcJqO2xu7is6MS3nLdQnlTI6jkJOl6nOJRCV847kh\naNQC3v3m/dvOurAcgD+wez9OusClvjY2MKISelxW10L4wr8P4vpIcT/guTx+WExaGPWaoj5utert\nsCISLY8Gffm1fuZEK1RC8TMuyY83Mr3M6X5EVSzd72MAePjudnzuNx7BTz3SW6xjbWOrNaChzpBR\nQmArBi47kHe4yONJMxnfFo1KmHP74cjxw6X8c7mMRPZk8GSl0rOYdLBa9FkHLtPxUcj5fLDtbq2D\n1aLHJacr8UbxytVpTC+s4tF7OmGv21ymJAdZ6SaLyaViOzXnq9Uq2OsMZZ9x8XgD+G9/9TK+9eId\nfPWZoaI9riRJmF9aY7ZFQb3tdQCy279VKBPx/pa+ditaG80YmV4u6k6jkelY8Ha8twGSBNwYdaf5\nCSKqVOlKxWT7Wmqz2jVYCH2dtowSAlsxcNmBvMOlKT7WuDeDtNbicgChcDTr/hZZS7y8LJfAxe1j\n4FIpOposcHn8CKxnllkLhSNY8PjR2ph7mRgAqFQC7jrQCI8viNEZLyRJwteeHYJKQMorLx1NscdL\nF2QtZvBG2VBnhHt5bdc9MqU0vbCC3/zcS7gzvQxBiDV2F+vDpXd1HcH1CBvzFdSb54IzJcmT+Tqa\nLehprYM/EMacu3iDKuSllz96Jta/xnIxouqV7kJiOdlICGRXLsbAZQdb97FkMqlm1i1PFMvtyqk8\niWxmIftfavKT1VbLHpdy19FshiQBUxnuSJld9MdHIedeJia7+2CspnXgpguXnPO4M7WMB463pgyK\nMi1ryyQ13WgzIiptBDnlZHhiCb/1uZcw5/bj594m4oFjrVhaCSZGFBdaojE/y91PtLOOJjN0WnXO\nC86UNDG3AkEA2prM6GmLZYKKVS4mSRJGppfR0lCDu8QmqFQCAxeiKub2rkGnVaOmRE332ch1ESUD\nlx3IjflyqZjZpEOLvQbDkztfic11FLJM7l+QA6BseHxBCAJgNTNwKXediZHImQUuSvS3yO460AhB\nAC45Xfjqs7ENuj/9aF/K224ELmlKxbwB6HVqmAw7l7HJ2YSFMisXu3zLhf/212fhXV3H4z91HO99\n+0Ec6Ixdrb+1y7JOJXEUsvLUahV6WmsxPudDsMQN+hMuH5psJhh0GnTLgUuRGvQXlgLw+UPobq2F\nUa/B/rY6DE14Sv53QkSF4fYGYK9NvQy63OQ6EpmByw7kHS7JV0F7O6zw+UM7pvlzHYUsk7M7uSyh\ndHsDqDProVbzP2m5a8+yQV+JiWKyOrMe+9utGLy9gGu3F3G32IT98TePVLetrdGl3TnjXo5t6d3t\njVLu3yinBv0XL03iE393DqGwhN/+wCn8yAOxUpoD8TGNxQpcXIlRyMy4KKm3w4poVEqUSpWCd3Ud\nS75g4iJAT2txMy4jM8ubHvdIjx3hiIRbY8V5bhNR8UQiUSz5gmn7W8qF2aRDS0NN1qXZ/JS7g62l\nYkD66FAehdycY6mYyaCF1azPaZeLxxtAvaUynqx7XWfWgUt+yye3ksciA8BPvyV1tkXW0WzB3OLq\njmNlI5EollaCaXurym2Xy7deuo3PfHkAOq0af/jL9+PMidbE93rbrVAJuc2Xz8XGKGRmXJQkv1/f\nLmG5mPwal1/zVose9bUGjBQrcIk/TndS4AKAiyiJqtDSShBRqbJ6nfs6rFhZC2W1CoSByw7kUrHk\n8g15Yc5OfS6zi6vQqFXbpjNlw2E3weXxZ9XE7A+EEFiPsL+lQlgtetQYtRkHLjPz+WXytpLHIh/s\nsuFo/IPMTtqbzIhKwNR86nKxpZUgJCl9I6D8Opr3FK8pOZVoVMKXvncdX/jmNdgsenzqw2/atjnY\noNeg01GL4cmlogwTSLzXMHBRVK9cP13CyWITSY35sp62OiwsB7Ytgi0EuSRNDlwOd8de79cZuBBV\nnUz6TctNX3yQytB45u/TDFx2kLzDRba/rS42cWiHX4Szi6torjdBrcq9ttDRUINIVMrqyrTHF/sF\nWElP1r1MEAR0NlswvbCa0c6e6YUV1NfqYVBox8fh7no8/lPH8Ws/d3faOth02aHEsqs0qelE4FLC\njIs/EMIf/dN5fPWZIbQ01ODTH3kw0Sy91YFOG4LrkcREqEKaX1qDVqNCXQ0vPCipvckCvU5d0sli\niYyLYyNw6W6tBYCilLCNTHthNmrRYI29PmtrdOh0WHBjzI1wmU74I6LcuNMsnyxHicFXWVxgYuCS\nwtYdLjKTQYu2RjOGJ5cQjW6ux1tZC8HnD+XdQN2SmCyWedpMjrK5fLJy3HWgEdGohLOXp3a9XSgc\nwfzSGloU6G+RCYKAH3mgG20ZjFduT9Ogn+n+oBqjFka9umQ9LtPzK/iNP38Rr70xi+O9DfjMRx7c\ndYhGMRv05z1+NFqNUOVxwYO2U6sE9LTWYWLOl/HocaXJgUt708ZrbX9b7Bf1nanCLsf0B0KYWVhF\nT1vdpgsUR3rsCK5Hir4Ik4gKK9MdLuVkf1td1qXZDFxS2LrDJVlfhxX+QDjRMC1LTBTLc6Sp/GEq\nm10uiQ+PFl6xrRRvOd0JQQCePj++6+1mF/2QFBqFnIuNCWipMw+ZpqYFQUCD1VSSqWIDN+fw6//7\nBUzMreBdD/bgD3/5ftSlmb4nN+g7C9zEHFgPY3llnY35BdLXYUVUAkYKHCTsZGLOh4Y6A0yGjdGk\n3W2xjEuhA4exmdhrVi4Tkx2Jl4tdu81yMaJqIq8bqIQdLjKDXoOOZgtuTy4hEs2sQZ+BSwqpGvNl\nvTvsc0nscFEq45JFg77bGysVY8alcjTZTDjZ14gbo+5de12m470lSoxCzoW9zgCjXrNzqVgWV3ga\nbUasrIXgD4QUPeNOJEnC158dwif+7hzWw1H82s/ehQ+++1hGk/c6m2NlRoVu0JcDOfa3FIY8MS+b\nMgSl+AMhLCwHNvW3AICjvgZGvabgI5E3+ltqN31dbtC/PsLAhaiauDMs3S43fR02BNYjmMywNJuB\nSwpbd7gk62uPNxJt+UCT2LWRZwO1oyE+EjmXjAsDl4ry2L1dAHbPusiTNlItiCwGQRDQ3mTG9PxK\nykb1bLb0FnOXS2A9jP/1LwP4p+9eR32tAX/8K2/CW051ZvzzarUKve1WjM96M+pDypUrMVGMGZdC\nyKV+WimJxnzH5sBFpRLQ3VqLKVdhd8zIPTRb+7garEY015vwxp3FbSXPRFS5Em0DFVZ905vlIkoG\nLimk2uEi626rhUolbPsLlkcYO3IchSyzmvUw6NTZ9bj42ONSie476oDFpMNzFyd2bJSdjk8UK1Wp\nGBCbiBSOSCnHFWbTX1Wskcgutx+//bmzePHSFA7tq8ef/tqbEz0r2TjQaUNUKuyH3sQoZC6fLIjW\nRjOM+sJnzlKR+8I6mizbvtfTWoeoBIzNFK6EbWR6GRq1gPYUj3+kx46VtVBRhk8QUXG4vQEY9ZpN\npamVoC8RuGRWms3AJYXdSsUMOg06my24M7286Qq0nCFpzjPjIggCHPYazC6uZryQx1OhUfZep9Wo\n8Uh/O5ZWgrhwfTblbeReKqVGIeeiY5cGfbc3AJNBA2MGE882RiIXLnCJRiX87udfwZ3pZbz9vi58\n8vEHcg7o5T6XoQI26MvjoZvqGbgUgloloKfNiimXr6CZs1RSjUKWdbcVdhFlJCphdMaHjmYLtJrt\nv+blcrE3OBaZqGq4vYGKrLzpbq2FRr09IbATBi4ppNrhkqyvw4rgegQTro0PcrOLq6ivNUCfND45\nVy0NNQisR7CU4Zx/tzcIi0m7aXQzVQa5XOyp11KXi80sxJ5XSo1CzoXcoD+ZokE/mzfKRmvsQkAh\nMy63xj2YXljFQyfb8KvvOQmtJvfXxIEOebJYATMuco+LlaVihdLbHmvQL/YUrfFdAhe5fKtQfS7T\n8ytYD0W2NebLjjJwIaoqoXAUyyvrsFdYfwsQu4i7r7UOI9NehMLpx7QzcEkh1Q6XZBsN+rErsaFw\nbHyyUg3UcqZndiGzBn23N8AysQq1r6UWfR1WvH5zDovLmz/Qr4dio5BbG0uXbQGA9uZYf83WshL5\njTLjwMVW+B6Xl69OAwAe7m/P+74abUZYLXrcyjB9nQuXxw9BQGLPBimvtz324f12kftcJuZ8sFr0\nqK3RbfteZ7MFapVQsGBqZMviya1aGmpgs+jxxp3FjDP7RFS+PL7K7nXua7ciHIlmVD7LwGWLnXa4\nJOvb0kjk8vgRlfLvb5HJAZA8qWw3wVAEq2sh1Fsq88lKwGOnOxGVgGcuTGz6eqxcsLRlYgDQXF8D\nrUa1beJH4o0ywys89joDBKFwpWKSJOHlq9MwGTQ4eaAx7/sTBAEHOmyY96wlyjGV5vKswWbR55UZ\not0lGj+LGLgE1sNwefyJbOVWOq0aHc0WjM54Mx4Bmo2R6dgv/5622pTfFwQBh3vscHsDif5MIqpc\nma4mKFfZ9LkwcNlC3uHSXL/zh8V9LZvr8eRG+t0W2mUjscslgwb9RH9LLftbKtVDd7VDp1Xjh+fH\nN035kZ9XpZooJlOrBLQ1mjHhWtl0PneWM+O1GjVsFj3mlwrzQWloYgnznjXce8ShWCAg97kUYhFl\nJCphcWmNE8UKrLXBDKNes22EfSFNuVYgSZsXT27V01aH4HoEMwupl7vm406ajAuQXC62oPjjE1Fx\nVeooZFlfZ+qJvakwcNlCbszfrVlWq1FjX0ttoh5vblHZwGVjl0smgUusD6ZSo2yKbZU/c7wFM4ur\nmzY6znwAACAASURBVGrOpxdKP1FM1tFsQXA9sqnMK/FGmcVzrzG+hLIQY1jPXomViZ053qrYfcrT\nyG4V4EOvR150y8CloFQqAfvb6zA1v1K0HUJyY/5OGRdgI6goRLnY6PQyGqxGWEzby9RkGw36bsUf\nn4iKq9IzLh1N5ox3pzFw2UJuzE81USxZX4ctVo83600si2xRqFSs0WaESiVklMLnKOTqkGjSPz+W\n+JocuJRq+WSyjviV44mkBn13FssnZQ1WI8IRKePBE5mSy8SMeg3uEpsUu185fX1rTPmMC0chF09v\nuxVSERv0x3fY4ZJMLuNS+kweXwBub3Db4smtOh21qDFq2aBPVAUqPXBRq1Xoaa3D+KwXgfXdJ0Ay\ncNkiscMlzVXQjQb9pcQoZKUyLhq1Ck02Y4YZl/iTlT0uFe1ojx0tDTV45co0VtZiV4XlEpKyCFwc\n8kjkFIFLNhkXeZeLR9lyseHJJbjcftx7xKHodD2zSYe2xhoMTXgUzxJtLLpl4FJove3FXUS52yhk\nWU884yL3oygl0d+yS5kYECsBPbSvHjOLq9sGgxBRZVmUl0FXaKkYAPR1ZjYBkoHLFrvtcEmW3KA/\ns7gKo16TcnpMrhz2Giz5gml3D7jZ41IVBEHAY6c7sR6O4sVLkwBiGRd7nQEGXelGIcvkJXrJu1wW\ncyoVkyeLKdvs/nK8TOwBBcvEZH2dNqwGwomdOkpJjEJmqVjB9SUuNBUn4zIx54PFpIXVvPP7stmk\nQ5PNiDtTy4pO9hrNoL9FJve5XGe5GFFFy2YZdLnq68isz4WByxaJHS5proJ2NFug06gwNOHB7KIf\nLfYaCIKg2DnkPpfZNFkX9rhUj0fv6YBKAJ4+P471UETREdv5am2sgUolKJdxUbBBf6NMTI27DypX\nJiYT5T4XhRv0M32vofw57DWoMWgy3sycj1A4gplFP9qbLGl/J3S31mFpJQiPT7nSyTtTsYxL9w4T\nxZId2R8LXK6xQZ+oorm9AZiNWkV2CZZKIiGQZncaA5ctYjtcDGmnEmnUKvS0xRbmrIcicDQoe9XU\nkWHgwh6X6mGvM6L/UDOGJ5Zw7toMJCk2EakcaDVqtNhNmJjzJa4Ou72BrBefJpZQKjgS+c7UMmYX\n/Th1yFGQN+1Eg77CiygTPS7MuBScShUb/zu9sIqLN+YK+ljT86uIRiV07tLfItvfpnyD/sjMMox6\nNRy7TMbceHwrdFo1ro/snHEJR6J49uJ4wf/eiCh37uVAxU4Uk7XELzANT+5+gYmBSxJ5h0u6MjGZ\n3OcCIKNfEtloiQdCM2mWUHq8ARj1ahhLuFmdlPPY6ViT/pd/cBNAeUwUk7U3WbCyFko01ruXA1ln\n+jYyLsoFLvLSyTMnlC8TA4Du1lpo1CrFMy7zHj9MBg3MRq2i90upfeCdh6BSCfj8E1cRDEUK9jjj\nGfS3yLoVDlzWQxFMulawr6UOKlX6CgCtRoWDXTaMznjh869v+l40KuHFS5P48KefxZ/+6yV86p/O\nw7u6vsM9EVGpBEMRrKyFKr7yRqUS0NthxdT87hfsGbgkWcxyPGlfcuCi8AfMTDMuHm8QNjbmV41T\nh5thtegTO1zKpVQMQOIK8sScL+c3ytoaHXQalWLN+ZIk4eyVaeh1hSkTA2LZpp62WoxMLyMUVuYD\nryRJcHl2X3RLyupurcO7HuzB7KIfX33mVsEeJ5PGfJncQC/vXcnX+KwP0aiUdqJYMnks8o141kWS\nJFy8MYf/8qcv4DNfHoDL7YfYacN6OIofJk09JKLy4KnwiWLJ5D6X3TBwSZLJDpdkyX/BSo1Cljky\n2OUSiUSxvBpkmVgV0ahVeLS/I/HPpV4+maw9qUHfk8MoZCA2hKDBalQs4zI648XMwipOHWou6BCD\nAx02hCOSYlfGVwNhrAXDaOAo5KJ679sPoqHOgK8/O4ypeeUXPwJJgUtT+sCl0WaE2ahV7HmVyeLJ\nreTA5dqdRdwYcePjf/UyPvF35zAys4yH727HX//2W/AHH7wPep0a331lFJEC7GAiotxVw0QxWXIl\n004yClxEURwVRfGqKIqXRFE8H//aZ0RRvCGK4hVRFL8himLm75RlKtMdLrLWRjOM+lhNvVKjkGVG\nvQZWi37XjMuiNwBJynxzOVWGt57uTPzZoXBAnA95md7EnC+niWKyRpsRyyvripTryNPEClUmJutT\nuM9lnqOQS8Ko1+CD7z6GcCSKv/76FUWneckm5nww6tVosKZ/bQiCgJ62OswsrCqyHHMkHrj0tGX+\n61jsskGtEvDds3fwW3/xEt64s4hTh5vxZ7/+MD72vn60NNTAbNLh4bvb4XL7McBeF6KyUuk7XJL1\nKRW4AJAAPOx0Ou9yOp2n4197CsARp9N5AsAtAB/P6ZRlJNMdLjK1SsCRngbU1ugKskSuxV4Dl2cN\n4Uh02/cGhxfw3//mFQC7LzmjytPRbMH9x1pwbH9DWYxClrXLSyjnfHm9UcqvrzuT+V1llsvEdFo1\n7jnYnNd9pSN2xQMXhaZSsTG/dO4/1oL+g024MrSAFy9NKXrfkUgUU/Mr6GhOP1FMJmdHRmfy3+cy\nMu2FSkBGgwFkBp0Gh7rrsR6O4kiPHf/zV9+E3/ul+7ZlbX70TDcA4Dtn7+R9TiJSTjUFLo1W465j\n5AEgm09Fm96FnU7n00n/+BqAn8rivspSpjtckn3sff0IroehVitfdeewm3Bj1I15z8ZY3NW1EP7x\nO2/gyXNjUAnAu9+8Hz/xcK/ij02l9fH/cErR8dpKMOg1aLQZMenKL3B5813tePr8OP75+zfwyccf\nyPnfc3zWh6n5FTxwvAWGAg+naLHXoMaoxa0xZQIXLp8sHUEQ8KGfPI5f+fSz+PtvXcM9h5pRo9CA\nhJnFVYQjUkb9LbKepAb9w932nB9bkiSMTC+jtdGc9QWP33hfP+aX1iB22nZ8PXa31uFIjx2Xbs1j\nan4FbWVUxkq0l7mXcyvdLkeCIOBdD/UA8O14m2wyLj8URfGiKIofTPH9/wjge9kfsbzkslfBbNTC\nXleYDx9bd7m8dm0GH/70s3jy3Bi6HBZ85qMP4ZfedbSi53ZTauUWtMg6mi1we4OJOv5c3ihPHGjE\nqcPNGLy9gNfemM35LGfjZWJvOt6W831kSqUS0NdhxfTC6rbpS7lwyRkXKzMupeCw1+Bn3noAHl8Q\nX/7BDcXuV35ddOYYuORjaTUCfyCcVX+LzF5nxMGu+rTvO3LW5Xsvj+R0RiJSXjVlXADgPW85sOv3\nM70sc8bpdM6IotgI4GlRFG86nc6XAEAUxd8BsO50Ov9PujsZGBjI8OFKY3zGA4tRhatXLpf6KACA\nNV8sYHn21TfwlR9cxhvja1CrgEeO1eLMYQt883fw/7d339FxnueZ/68pAAa9DHol2F4SLCIJEqS6\nRFG2LMlyr3GJYzvFWcdxHCeOs/klu7+cJJvEceK1Y3ttK3a8juO4yJYtNxWqU6IIUux8WdF778C0\n/WNmQFAEgQEwHd/POToCpt6HegXimue576exN8ZFJoB4v+4SSarPH+4Pn2qTJLU3X9B439JXOxpq\npSNnpS//4KgsEyWy25Ye1J483CW7TbJNd6ixcfkBKFQ5Kf6/HH7+1CtaX7b4XxALXXfnL/dLkrra\nLmpigA8eYmFNrk/ObLsee+GKyrPGVV6QuuLXfOm0f7vX1Gi3GhtD2/rl8fpks0qnLnaqsfH6bcGh\n6hr098ik+kYj9jMvzetTVrpVv3rpiraUTikthfk+4O/YWGtq9/8ieOXCGbUu4+/SRBPSbxymaXYG\n/t1rGMYjkhokPWcYxm9Kul/SPaG8Tn19/TLLjDyPx6vR/2zXxur8uKkzo2BAjxx6Tk+f9P8FuHlN\ngf7bO25SdWnooy5Xu8bGxrj575kM+lzNesl8VYNj/sb6O27ZoxT78n55aRo6ocdeuKLu6Xw9dPu6\nJT23pWtEvcNtunlbmW7Zt2dZ779UHkeXnj39snxphaqvNxZ87GLX3Xeff1Y265TuuHWPbCGct4HI\ncOT16r9/9UUdPD2jf/iDfSv+b/H0uUZJI9p/684lDWypfX5MTZ2jumnHTtmXue344ImnJEm3N9Sp\nPoI9Xw8NnNN//NrUsK9Ib6hfE7H3QWLg79jY+9rjTyo3y6e9DbtjXUrYLBSGF/0JaRhGhmEY2YGv\nMyW9TtJJwzDuk/RpSW8yTXMqTLXGzFLPcImGiuIspditSk+z6Xfesk1/9/u3EVoQU1UlV/e152al\nLju0SNJ7Xmcow2HXd39lLnn71QsnOiVJt2yP7DSxuYLTTsJxEGXv0IQK89IJLTF208Yi3bGzQhda\nh/Trl5pW/Hot3aNKTbEteehCbXmu3B6v2nqWP6K5a8g1+1qR9Pqb18xOIYvEVDYASzMwsvTDoBNZ\nKCsuJZIeMQwj+PjvmKb5a8MwLkhKlX/rmCQdMk3zYxGrNMKWeoZLNORkpupzn7hDOZmpEeujAZZi\nbtPxSn9Q5mal6V0HNurffnZG33v8vD7ypq0hP/eF4+1KsVvVUBfZaWJz5ec4VJSfrgstQ/L5fMvu\nQ3K5PRoYmda2dYVhrhDL8ZGHturI2W596+dntW9b2bIP9PV4fWrrHlVlSfaSA2mwz+WvvnZIhbnp\nyspIUXZmqrIzgv+kKD/boZs2FCorY/4tbd2DLuVlpSk/e+GJPCtVkOPQrdvL9eyr7Tp1uZ/rGIih\niSmXJqfdBJe5TNO8ImnHPLdviEhFMbLUM1yiJdKfngFLkZ2RqrzsNA2NToflB+WDt63Vz19s0mMv\nXNb9t65ReeHik4pau0fV3DWqvVtKleEIzzSoUG2sztcLxzvUOzip4nl+Vky7PHK7F+5T6BvyL1Av\nZQgIIic/x6H3v2GzvvrISX35hyf06fftXtZKYu/ghGbc3pAOnnythi2lOtjYqt7BSV1qH5LbM/9K\nhs1q0U0bi3T7TeXau7VM2YEQMzbp0tC4Rzs2Lt5gHw7331qrZ19t12PPXyG4ABHw/PF2OVLt2r15\n4Q/nBkenJSVPY34o4ueQiBhb6hkuwGpVVZwdtuCSmmLTBx+o099/+4i++bMz+uxvNiz6nBdPROfQ\nyflsrPIHl//z45NKd9g1Mj6jkbFpjYzPaHh8RtMzHlmtFt23K1c32va9nOmFiKw33FKrZ4+169DJ\nTv33r7ygz3xwz5JXXoITxapKlz4muDg/Q5/7xJ2S/GONp2Y8Gp2Y0ej4jP/fEy519I3p0MlOHT3X\no6PnemT7/nHdtLFIt20vV1aGP8CvjdIHXXW1Baotz9GhU53qH55kRwAQRtMuj/7pP47KkWrTt//H\nGxZcwU2mUcihIrgELOcMF2A1qirJ0slLfWH7QXnbTeV69Nl8HTrZqdOX+7Vl7fxnWXi9Pv3q5Wb9\n8OBF2W1WNdSVhuX9l2Lben9tc8c4p9qtyslKU2VxlnIyUnWpfVi/aBzSbQ19834a3RsMLoxCjhs2\nq0X/87dv1r9875ieP96hT37+Gf3ZB/fIqCkI+TWWMwp5PhaLRelpdqWn2a/7IO1dBwx19o3r+ePt\neuFEx2yICaotj04PpMVi0QO3rtUXv/+qfnGoSe+7b3NU3hdYDczmAbncXrncXl1oGdSmNTf+OdQf\nGIXsZMVl9eFTUCA0wQERhWH6lNVisejDb9qqT3/hOX390VP63B/cIetrPmHq6B3T//7+qzp1qV+Z\nDrs++Z6dYTs0cCk2VOXrX/7oLnm9PuVkpionK/W6w/5OX+7XZ//1ef2vf39Fn//Du677mdI7GFzd\n5WdNPHGk2fUn79+t9ZUX9e8/P6PPfOkFfext23Xv3pqQnt8SXHFZYXBZTFlhpt5xz0a9456N6uwb\n1wsnOvT88XZ19Y1q2/robdu6c1fF7GHI7zpgrGhQB4CrTl7sn/36yLnuBYPL7IrLKgoucf+TZmzS\npc986XkdOdsd0ffpHphQQY5DKXbOVAAWsn93lX7jvk26Y2f4Dn7cVFOgO3ZU6GLrkJ451jZ7u8fj\n1Y8OXtDH//GgTl3q194tpfrSn+zXHTsrw/beS7W2Ilfrq/JUXJAx7wnlW9Y6dV99nobHZvQ33zqs\naZfnmvtnD58kuMQdi8Wit+3foL/86M1ypNr0hf96Vf/6w+NyLdK3JPlXXOw2y+zBwdFQVpipt+/f\noH/+5F369FvLo7ply5Fq170N1RoanZ7dvglg5U5e6pPF4l8Jbpyzojqf2cMnV9FWsbgPLicv9un0\n5X498vTFiL2Hx+NV39Ak28SAEKSn2fXue42wN8Z/4IE6pdit+vfHzmhqxq0rHcP64y88q3/72Rll\nOFL0px/YrT//UENC7KffsyFTB/ZU62LrkP71B8evGRvbOxRc3eXnTbzaZRTr85+8U2vKcvSLF5v0\n37/yggZHrp/67/X61D88qXNNA2rtHlN5UZZsyzyHJRG94ZY1slikx164EutSgKQw4/LofMug1lbk\nqq7WqYutQxocvfGJI7PBZRWtuMT9VrHmLv/hi6cu92t0YmZ2iko4xeMZLsBqU1KQoTfdsU4/eOqC\n/uprL+lc04A8Xp/urq/UR960TTmZ4f9/P1IsFot+723b1dQ1oqeOtGpjVZ4euG2tJP+KS25WqtJS\nWN2NZ6XOTP3Dx2+f7Xv5w88/o3v2VKl/eEq9g5PqGZxQ//DkNRPAastW1xTI8sIs1W8q0ZGz3brY\nNqT1lXmxLglIaGbzoFxur7atK1R+dppOXurTMbNH+3dXz/v4gZEpWS1SXlZkx6DHk7j/aKip0x9c\nvF6fXjkTme1i3XF4hguwGr3jng3KzUrV6cv9ys9x6C8/sk9/9N76hAotQakpNn32gw3KzUrV135y\nSqcv98vr9alvaJLVlgQR7Hv5zQfqNDQ6pe8/eUFPHWnVyUt9crk9WleRp9tuKtdb7lqv33nLNn34\noS2xLjnqHri1VpL02POsugArdfJSnyRp61qn6jf5RyE3nr3xdrGB4SnlZaetqpXe+F9x6RyRzWqR\nx+vTS6c6tX93Vdjfg4liQHzIcKToMx/YozNXBvTgbbVRP6cl3Iry0/WnH9ijv/jKi/q7b72iv/zI\nPrncXhrzE0iw76VhS6kGR6dUlJehwjz6IYN2GcUqK8zU00fb9IH7Nyt/FW1ZAcIt2N+yZa1Tmekp\nKsx16Nj5Hnm8vuvGIvt8PvWPTKm6ZOkj2BNZXEe0GZdHHX3j2lidr4qiTB0ze65rdA2HYHBhqxgQ\ne1vXFeqdBzYmfGgJ2rauUB9+aKuGxqb1/z/8kiRGISeiqpJsbV9fpLLCTELLHFarRW++c53cHq9+\nRq8LsGwzLo/M5kHVlucqKyNVFotF9ZtLNDrh0oWWwesePz7l1ozLo4Kc1fVBWFwHl9buUXm9Pq0p\ny9G+rWWamvHo+IXesL9P9yArLgAi58HbarV/d5UGRvynHLPigmSyf3eVcjJT9fMXrmhq2h3rcoCE\nNLe/JSi4XWy+yboDw/4JlatpopgU58El2JhfU5ajvVvKJEkvn+pa6CnL0jPAeFIAkWOxWPSxt9+k\ndZX+5m0+JEEycaTa9cCttRqbdOnxwy2xLgdISMH+lm3rrh7CfNOGQtltFjWemye4rMKJYlKcB5em\nTv+BXmvKcrSxJl952Wk6fLpLHq9vkWcuTfcgZ7gAiKy0FJv+8sP79NE3bdWuwKdoQLJ44NZapdqt\n+vGzl+TxLH7uDYBrze1vCcpwpPjHIrcNXzcWmeASh5o7r6642KwWNdSVamhsWuebr9/rt1yc4QIg\nWvJzHHrojnWcMo6kk5uVpnsaqtUzMKEXT3bGuhwgoby2v2Wu+k3FkqRj5rXTxfqH/cHFyVax+NHU\nOaLCvHRlpfubdPdtLZUkvXQqfD8U+4en5OUMFwAAVuTNd6yTxSL96OmL1xy6CmBh8/W3BNVvDva5\nXBtcWHGJMyPjMxoYmdKaspzZ227aUCRHqk0vneoM2w/FYGM+Z7gAALB85UVZ2re1TBdbh3Tqcn+s\nywESxnz9LUHVJdkqzEvXMbPnmm2YBJc4M7tNrDR79rbUFJt2bSpWR9+42nrGwvI+nOECAEB4vPWu\n9ZKkHx28GONKgMQxX39LkMViUf2mYo1NunS+ZWj29oHhKdmsloQ8oHkl4ja4NAWCy9wVF0mz08XC\ntV2MM1wAAAiPTWsKtHlNgY6c7VZLYDIogBtbqL8laHdgu9jc6WIDI1PKz3HI+pqDKZNd3AaXuaOQ\n59pTVyKr1RK2scitgZWb8qLVdfIoAACR8JbAqsuPn7kU40qA+Ge23Li/JWj7ev9Y5COB4OLz+TQw\nMiXnKtsmJsVxcGnqHJHNalFlcfY1t2dnpGrrWqfMlkH1Bw7fWYnmrhGlp9k4EA4AgDDYu6VU5YWZ\nOtjYNrsPH8D8Tl28cX9LUHAs8qW2YQ2OTGlkfEZuj2/VHT4pxWlw8Xp9aukaUUVx1rxjQ/du8U8X\nO3zm+gN5lsLl9qq9Z0zVpTmyWFbXUhsAAJFgtVr05rvWy+3x6mfPX451OUBcO3mp/4b9LXPVB87/\nOmr2rNrGfClOg0vP4IQmpz1aU5oz7/17t4anz6Wjb0wer081N3gfAACwdPt3Vyk3K1U/f7FJk9Pu\nWJcDxKUZl0fnmgdUW3bj/pag3Zv957k0niO4xJ25B0/Op6QgQ7XlOTpxoU8TU65lv09L56j/fUqz\nF3kkAAAIVVqKTQ/culbjky49/nJzrMsB4lKwv2Xr+oVXWySpqiRbRfnpOmr2qHfQ3ypBcIkTTV3z\nTxSba9/WMrk9XjWe67nhYxYzOwCAFRcAAMLq/lvWKDXFpp88e+ma8ycA+F3tb7lxY36QfyxyicYn\nXToU2HFEj0ucaA6uhCwQXIJ9LiuZLhYMLtVlrLgAABBOuVlpOrCnSj2Dk3rhREesywHiTqj9LUG7\nN/m3ix0z/R/aM1UswqZmQtvn2tQ5ovQ0+4KTvtZW5KooP11HznbJvcxPcpq7RpWdkaq8rLRlPR8A\nANzYm+9cL6vVood/elpDo9OxLgeIG3P7W7IX6W8J2r6hSHabVT6f/3tWXCLsmNm76GNcbo/ae8dU\nU5q94KQvi8WivVtKNT7l1qlLfUuuZWrGra7+cdWULfw+AABgecoKM/W++zapf3hK//idI/J4fbEu\nCYgLS+lvCUpPs2vL2gJJUordqqz0lEiVF7eiGlxCmQLW1jMmr9e34DaxoH2z08WWvl2srXtMPh/9\nLQAARNLb7t6ghrpSHb/Qp+/+6lysywHiwlL6W+YKjkUuyHGsyg/eoxpcDp9efFtXU+fijflBW9Y6\nlZmeopdPdcrnW9qnOC3dwcZ8+lsAAIgUq9WiT75np0oKMvS9J87ryNmVncEGJIOl9rcE7d58Nbis\nRlENLmOTLp2+1L/gYxYbhTyX3WbVnroS9Q1P6VLb8JJqCQ4AqGbFBQCAiMrKSNWffXCPUuxWfe47\njeoemIh1SUDMLKe/JaiyOEvvvtfQ2/dviFB18S3qU8UOLbJdbCkrLtLV6WKN55b2Cc7VUcisuAAA\nEGnrKvP0u2/drrFJl/7uW4c14/LEuiQgJs4vo78lyGKx6Dfu26SGwO+/q01Ug0tWeopeOtUp7wLN\neU2dI3LmOkJOoFvX+vcGnrkysKRamrtG5cx1LHpSKQAACI/X7a3RgT3Vutg2rK/95FSsywFi4mRg\n99FS+1sQ5eDSsKVU/cNTutg2NO/9YxMz6h+eCmmbWFBedpoqijJ1tmkg5Gkl45Mu9Q1N0pgPAECU\n/e7btqu2PEe/PNSkp460xrocIOqOX+hdVn8LohxcglPADp2cf7vY7DaxJQaKulqnJqfdauoIrc+l\npSvY38I2MQAAoiktxabPfHCPMhx2fekHx2f/7gdWg67+cZ2+3K/NawqW3N+CKAeXnUaRUlNsNwwu\nS2nMn6uu1p9YQ90uRn8LAACxU16YpT989y7NuDz6228e1sSUK9YlAVHx65ebJUmv31cT40oSU1SD\niyPVrvpNxWrvHVNr9+h19zcFVkJCbcwPqgscxnPmysITy4KCwYWJYgAAxMbN28r01rvWq6NvXN94\n9HSsy0GCMZsHND6ZWIHX4/HqyVdalOmw65bt5bEuJyFFfarYQtvFmjtHZLVaVFWStaTXLHNmKi87\nTWeuDIR0nsvsVrESVlwAAIiVD9y/WVUl2XricDNbxhCyI2e79cdfeE5f/P6rsS5lSY6c7dbAyLTu\nqq+SI9Ue63ISUtSDS0NdiWxWy3VjkX0+n5q7RlRRlKkUu21Jr2mxWLSl1qmBkamQZsO3dI2q1Jkh\nRxoXDQAAsWKzWfVbb9wir0/6t5+y6oLFTbs8+uojJyRJL57oUFf/eIwrCt2v2Ca2YlEPLlkZqdq2\nvlAXW4fUM3g1ZPQOTmpiyr3sSV91taFtFxsandbQ2DQTxQAAiAP1m4q1Y0ORjpo9OnquJ9blIM79\n4MkL6uqf0JqyHHl90k+fvxzrkkLSNzSpxrPd2lCVp9ry3FiXk7CiHlwk/75WSXppzqpLU9fSDp58\nrVAb9Fu6g/0tbBMDACDWLBaLfuuhLbJYpId/eirkow2w+nT0jukHT12QM9ehv/nYrXLmOvT4y80a\nS4BelydeaZHX5z/LCMsXk+ASPO3+pZNds7ctd6JYUG15jtLTbIuuuDR3+vtbWHEBACA+1Jbn6p7d\n1WruGtUTh1tiXQ7ikM/n01d+dEJuj1cffdM2ZWek6sHb1mpy2qNfv9Qc6/IW5PX69PjLzXKk2nTH\nzopYl5PQYhJcnLnpMmrydfpyn4bHpiXNOcNlmcHFZrPKqClQa/fY7GvOZ3YU8jLfBwAAhN/73rBJ\naak2feeXZzU57Y51OYgzL5zo0LHzvdplFOuW7f6dO/ftq5Ej1aafPn9Zbo83xhXe2Kvne9UzOKnb\nd1Qow5ES63ISWkyCiyTdvLVMXp/0yhn/qktz54gcqTYV52cs+zWD28XONt14u1hL16isVosqzdMw\n6AAAIABJREFUijKX/T4AACC8nLnpesud6zU4Oq0fHbwY63IQRyamXPraj08pxW7V77x1mywWiyR/\n3/SBhmr1DU3qxRMdMa7yxji7JXxiF1y2Bccid8nl9qqtZ0w1pTmyWi3Lfs2rDfrzB5eVTC4DAACR\n9da71ys/O00/evqi+ocnY10O4sR3f21qYGRKb9+/QeWF1x6Z8dDt62SxSI88cymkIzGibWh0Wi+f\n7tSashxtrM6PdTkJL2bBpbwoS9Wl2Tp2vkeX2ofk8fpWvH3LqM6XzWrRmcvz97n0DU1pYsrNwZMA\nAMSh9DS7fuO+zZpxefR/f3Eu1uUgDlzpGNajz11WmTNTb9u/4br7ywoztW9rmS62Di06oCkWnjrS\nIrfHp3v3Vs+uFGH5YhZcJP92MZfbO7skXFO2sklfjjS71lXm6mLbkKZmrt8fG5woRmM+AADx6UBD\ntdaU5ejJIy263D4c63IQQ16vT1/+4Ql5vT799lu2KS1l/t0yb75znSTpx8/E1xZDn8+nX7/crBS7\nVXfXV8W6nKQQ0+Cyb3a7mH8s8nIb8+eqq3XK4/XpQsvQdfddnSjGKGQAAOKRzWrRh964RT6ffzxy\nPG7/QXQ8daRFZ5sGdMv2Mu3eXHLDx21eU6CN1Xl6+XSXOnrHoljhwk5d7ld777hu3V6u7IzUWJeT\nFGIaXNZV5Ko4P332+3CshCx0ECUTxQAAiH+7jGLtMop1/EKfGjmUclUaGZ/Rwz89I0eqTR95aNuC\nj7VYLHrzHevl80mPPhc/B1IGm/JfR1N+2MQ0uFgsFu3b6l91yc9OU25W2opfMzhZ7PQ8fS4tXSNK\nsVtV6mSiGAAA8ey33rhFVov08E9PyxPHo24RGf/+8zManZjRe163SUVzPuS+kVu2l6koP11PvNKi\n0YmZKFS4sLGJGb14vEMVRZnautYZ63KSRkyDi3R1u1i4VkFys9JUUZSlc80D1/yg83h9aukeU1VJ\ntmwrmFwGAAAir6YsRwcaatTaParnXm2PdTmIovFJlx5/uVlVJVl66I61IT3HZrPqodvXanrGo18e\naopofaE42NimGbdXr9tbQ1N+GMU8uGypdeqdBzbqnQc2hu0162oLNDntmT3UUpK6B8Y14/Komv4W\nAAASQvDci/Ot1/etInm19YzK65N2GsWy20L/VfXehhqlp9n1s+cvy+WO3SpdsCnfZrXo7t005YdT\nzIOL1WrR+9+wWdvWFYbtNYPbxeaOxbvamE9/CwAAiaCy2H9mR1v3aIwrQTS1dvsb7KuKl/Zhc2Z6\nil63t0YDI9MxXaU73zKops4R7d1aqvxsR8zqSEYxDy6RsCWwl/D0nAb9lmBjPisuAAAkhAxHipy5\nDrXF0aQoRF5bjz+oBoPrUrzx9rWyWqSfxPBAyscPt0iSXr93TUzeP5klZXApdWYoPztNZ6/0z160\nLV2suAAAkGgqi7PUOzipqenrz2dDcmrr8QfVyiWuuEhSSUGGbtlerssdwzpxsS/cpYXk5MU+ZTrs\numljUUzeP5klZXCxWCyqq3VqYGRa3QMTkvyjkNPTbCFNpgAAAPEh+Msrqy6rR1vPqLIzUpSbtbyz\nT950h/9Ayl8cagpfUSEaGZ9RR9+4NlbnMwwqAuyhPMgwjCZJI5I8klymaTYYhlEg6XuSaiQ1SXqn\naZpx0z1XV1ugF0506MyVfjlz09XWM6b1VXlMdgAAIIHM9rn0jGl9ZV6Mq0GkudxedfZPyKjOX/bv\nbEZNvqpLs/XyqU4Nj02H5biNUJ1vGQzUUBC191xNQl1x8Um6yzTNnaZpNgRu+4ykx03T3CjpycD3\ncaMu2OdyeUAdfWPyeH1sEwMAIMEEG7SDfQ9Ibl394/J6fcvqbwmyWCy6t6Fabo9PzxxtC2N1izvX\n7B8MZdTkR/V9V4ulbBV7bex9SNK3Al9/S9Kbw1JRmNSW5Sg9zaYzV/rVMjtRjMZ8AAASSWXJ1RUX\nJL+VNObPdXd9lWxWix4/3BLVJn2zObjiQnCJhKWsuDxhGMYRwzA+GritxDTN7sDX3ZJKwl7dCths\nVhk1BWrrGdOJS/7mLFZcAABILAU5DqWn2dROcFkVgqOQK0tW9mFzblaaGraUqqlzRJfahsNR2qK8\nXp/OtwyqoihL2RnL68/BwkLqcZF0q2manYZhFEl63DCMc3PvNE3TZxjGonG2sbFxOTUuW17atCTp\nqVeaJUmDPVfUONoS1RoQe9G+7gCJ6w7Rl8zXXH6mVa3dI3rllSOy0vAcV8J93R0/699qNdTTrMbJ\nlZ3FUlswo0OSvvPYET24J/IrID1DLk1MubWhzJvU/z/GUkjBxTTNzsC/ew3DeERSg6RuwzBKTdPs\nMgyjTFLPYq9TX1+/omKXKiW3V0+ffFEzbp+yM1J15617aM5fZRobG6N+3QFcd4i2ZL/mNpqN6mhs\nU9XazSp1Zsa6HARE4rr7znPPyG6b0j2375HNtrLhtzt2ePXLY4/rbOu0PvPhHUpLsYWpyvn9+uVm\nSd26ddd61dfXRvS9ktlCoW/RK8IwjAzDMLIDX2dKep2kk5IelfTBwMM+KOnHK640zDZWXR1FV1OW\nTWgBACABzZ0shuTl8/nU1jOmiqLMFYcWyd82cM+eKo1PuXXoZGcYKlzY1f4WJopFSihXRYmk5wzD\neFXSy5J+ZprmryX9naR7DcM4L2l/4Pu44kiza11lriT6WwAASFSVTBZbFQZGpjQ57V7WwZM3cmBP\ntSTp8Zebw/aaN2I2D8iRamMYVAQtulXMNM0rknbMc/uApAORKCqc6mqdOt8yxEUEAECCYsVldWgL\nNuavcKLYXOVFWdqy1qkTF/vU1T8esa2GE1MutXSPauvawrCsFmF+Sf8ne9/Na7Rva6n2bSuLdSkA\nAGAZygszZbUQXJJda3AU8gonir3WvQ3+VZcnXoncgKbzLYPy+RiDHGlJH1wqirL05x/aq/xsR6xL\nAQAAy5Bit6nEmclWsSQXDKbhXHGRpFu3lys9za4nX2mVxxuZM104vyU6kj64AACAxFdZnKXhsRmN\njM/EuhREyOzhk0XhDS6ONLvu2FmhvqFJHb/QG9bXDjoXDC7VBJdIIrgAAIC4F2zY5iDK5NXWM6ai\n/HQ50kI9ZjB0Bxoi16Tv8/lkNg+quCBD+Tns8IkkggsAAIh7Vxv02S6WjCamXOofngr7akuQUZ2v\nqpIsvXSqK+yrdp394xqdmNEmtolFHMEFAADEvWBwaWXFJSnN9reEuTE/yGKx6N6GGrk9Xj1ztC2s\nr32uif6WaCG4AACAuMdZLsktUo35c91VXymb1aLHDzfL5wtfk77ZPCBJ2sTBkxFHcAEAAHEvJzNV\nOZmpjEROUsFAWhXGwydfKz/boT11JbrSMaJL7cNhe12zZVApdqtqy3PD9pqYH8EFAAAkhKqSbHX3\nj8vl9sS6FIRZNFZcJOnevTWSpCcOh+dMl6kZt650jGhdRa5S7PxaHWn8CQMAgIRQWZwlr0/q6BuP\ndSkIs7aeUWU67MrLTovo+9QbxcrPTtPTR9s07Vp5AL7UNiyv16dNa9gmFg0EFwAAkBCuThZju1gy\ncXu86uwbV2VJtiwWS0Tfy2azav/uKo1PunToZOeKXy/Y30JjfnQQXAAAQEKgQT85dfWPy+3xRXyb\nWFBwu9iTYdgudvXgSVZcooHgAgAAEgIrLsnpan9L5Brz56ooytLmNQU6frFXPYMTy34dn8+nc00D\nKshxqDCPgyejgeACAAASQlF+hlLsVoJLkgn+96yK0oqLJB1oqJbPJz11pHXZr9E7NKnB0WkZNfkR\n3+IGP4ILAABICDarRRVFWWrvGQ3rORyIrdZu/9a/SB0+OZ/bbipXWqpNTxxukde7vGvJDGwT4/yW\n6CG4AACAhFFRnKXJaY8GRqZiXQrCpL1nTHabRaUFGVF7zwxHim7dXq7ugQmdvty/rNcIBhca86OH\n4AIAABLGbJ9LN9vFkoHP51Nbz6jKCrNks0X319IDDdWSpCdeWV6T/rnmAdmsFq2r5ODJaCG4AACA\nhMFkseQyNDqt8Sl31CaKzbV1rVOlzgw9f7xDE1OuJT3X5fboUtuwastz5Ei1R6hCvBbBBQAAJAwm\niyWX1kAAjUVwsVgsOrCnWjMuj557tWNJz73cPiy3xyuD/paoIrgAAICEUVFEcEkm0R6F/Fr7d1fL\nYpGeXOJ2MfpbYoPgAgAAEkZ6ml2FeelsFUsSs6OQS6K/4iJJRfnpumlDkc42DcxONwsFE8Vig+AC\nAAASSmVxlvqGp5bcl4D4EwwLwZW0WLg30KS/lFWXcy2DyslMVakzepPQQHABAAAJJtgP0d7LdrFE\n19YzJmeuQxmOlJjVsG9rmTLTU3SwsVUej3fRxw+OTKlnYIKDJ2OA4AIAABLK1cliBJdENjntVt/Q\npKpi1N8SlJpi0x07KzQwMq2jZs+ijz9Hf0vMEFwAAEBCCfZDEFwSW/tsY37stokF3RvimS4ut3d2\nS9mmavpboo3gAgAAEgpnucS/xnPdOtjYuuBj2mI4Cvm11lfmqaY0W4dPd2l4bHrexwyPTesvvvqi\nXj7dJaM6X3VrCS7RRnABAAAJJT87TRkOOysuccrn8+kL33tV//QfR/XE4eYbPm52FHJJbLeKSYEz\nXRqq5fb49MzRtuvub+0e1R9/4Vmdvtyv224q11//3i1KsdtiUOnqRnABAAAJxWKxqLI4Sx294yE1\nUyO6ugcmNDAyJUn60g+O6+Slvnkf1xZHW8Uk6a5dVbJZLddtFztq9ujTX3hWXf0Teve9hj79vt1y\npNpjVOXqRnABAAAJp7I4W26PV92DE7EuBa9x5sqAJOnW7eXy+aS//eZhdcwzAa61Z1TpaXYV5Dii\nXeK88rLTtKeuRFc6RnSpbUiS9Njzl/U/vv6SZtxefeq9u/Qb922S1coksVghuAAAgIQT/JQ+ktvF\nTl3q069eaorY6yers03+4PK2/ev1sbffpNEJl/7nN17S6MTM7GM8Hq86esdVVZIVVyOFD+zxN+n/\n6qVmfeVHJ/SVR04qJyNVf/N7t+qu+qoYVweCCwAASDizwaU7csHlmz87oy9+/zgHXS7RmSv9cqTa\ntLY8V6/bW6O33rVe7b3j+rtvvSKX27+1r3twQm6Pd3bQQryo31yivOw0/eJQkx574YpqSrP1uU/c\noU1raMSPBwQXAACQcCI9Wczn86k18Nr9w1MReY9kNDYxo5auUW2szpfN5v8184MP1Gnf1lKduNin\nL//wuHw+32zgjJf+liC7zTq76rJ7c4n+/uO3q7ggI8ZVIYjOIgAAkHBKnZmyWi0R2yo2NDqtiSm3\nJPkPSYyDyVeJIHg44+baqysUVqtFn3pvvT7zr8/r8cMtgdDpk6S4W3GRpPe+fpN2GkXasrZQNvpZ\n4gorLgAAIOGk2K0qc2ZELLi0zWkm7x+ejMh7JKMzV/olSXW1zmtud6TZ9Re/tVcFOQ5987HTevyw\nf3JXvK24SP5ra/v6IkJLHCK4AACAhFRZnK3RiZkbHhi4EnMDUe8QW8VCdebKgKwWaVNN/nX3OXPT\n9Rcf3qvUFJvaesZks1pUVpgZgyqRqAguAAAgIUVyslh7DysuS+Vye3WhZVBrynKV4UiZ9zHrK/P0\nqffWy2KRyouyZLfxqyhCR48LAABISBVF/uDS3jumLWudizx6aeY2/fcNEVxCcal9SDNu7zX9LfO5\neVuZ/uqjNys7Y/5wA9wIwQUAACSk4Dajrv7xsL92e++Y8rLS5HJ7mCoWorOBgyc3hzA6eJdRHOly\nkIRYnwMAAAkpGFw6+sIbXGZcHnUPTKiiOEvOvHT1suISkhs15gPhQnABAAAJKT/bodQUW9hXXDr7\nxuXz+XtoCnPTNT7p0uS0O6zvkWx8Pp/ONg2oMC9dRfnpsS4HSYrgAgAAEpLValGpMyMQNHxhe93g\nKOSKoiw5cx2SaNBfTEffuIbHZlS3SH8LsBIEFwAAkLDKnJmamHJrZHwmbK8ZbMyvLM5SUZ5/9aCf\nkcgLOhvcJhZCfwuwXAQXAACQsCLRoB8chRzscZFEn8sizgQb8+lvQQQRXAAAQMIqdfqDS2cYG/Tb\nesZkt1lUkp+hwtzAigtbxRZ05sqA0tPsqinLiXUpSGIEFwAAkLDKgsGlfyIsr+fz+dTeO6aywizZ\nbFYV5vl7XPoYiXxDw2PTau8d06aafNmslliXgyRGcAEAAAkruFWss29skUeGZnB0WhNTblUW+w+3\nLAxsFeMQyhs728Q2MUQHwQUAACSsovx0Wa0WdYVpxSXY3xIMLhmOFKWn2QkuCwgePMlEMUQawQUA\nACQsu82qkvwMdYapOX/uKOSgwjwHPS4LONs0IKvVIqM6P9alIMkRXAAAQEIrdWZoaHRaE1OuFb/W\n3FHIQYW56RqdcGlqhkMoX2vG5dGF1iGtrciVI80e63KQ5AguAAAgoZUG+ly6B1a+XezqKOTs2duC\nfS4DNOhf50LrkNweL+e3ICoILgAAIKGVF4ZvJHJbz5jystKUlZ4ye5szl7NcbuRM4ODJzfS3IAoI\nLgAAIKGF6yyXGZdHPYMTqpizTUzS7Ehk+lyuNztRjBUXRAHBBQAAJLTZkcgrbNDv6BuXz3dtf4s0\ndyQyW8Xm8vp8OntlQCUFGbOrUkAkEVwAAEBCC9eKy2tHIQcVBn4p72PF5Rp9I26NTboYg4yoIbgA\nAICElpZiU0GOQ10rXHFp6/VPFJs7ClmSnBxCOa/W3mlJHDyJ6Alpbp1hGDZJRyS1mab5RsMwGiR9\nUVKKJLekj5mm+UrkygQAALixssJMnb3SL5fboxS7bVmv0TY7Ueza4JLpsMuRalM/W8Wu0dI7I0lM\nFEPUhLri8glJZyT5At//vaS/ME1zp6T/L/A9AABATJQ5M+X1rWwkcnvP2OyBlnNZLBYV5qWzVew1\nWnqnlZmeoqqS7MUfDITBosHFMIxKSfdL+rokS+DmTkm5ga/zJLVHpDoAAIAQlBb6w0ZX//KCi8/n\nU1vPmMoKM2WzXf/rUWFuukbGZzTj8qyozmQxODKlwTGPNq8pkNVqWfwJQBiEslXs85I+LSlnzm2f\nkfS8YRj/KH/4uTkCtQEAAISk3Onf3rXcBv3B0WlNTruva8wPcgZGIvcNT6q8cP7HrCZnAmOQacxH\nNC0YXAzDeFBSj2maxwzDuGvOXd+Q9AemaT5iGMY7JD0s6d7F3qyxsXEltQLLwnWHWOC6Q7St9mtu\nsN/fb3H8zBWVZwwu+flXuv39KzbP2Lx/lq6JYUnSi4ePq7bEsYJKk8PTjUOSJOtMnxobR2NcDVaL\nxVZcbpH0kGEY90tySMoxDOPbkhpM0zwQeMwP5N9Gtqj6+vplFwosR2NjI9cdoo7rDtHGNScZEzP6\n2q9+IY8tc1l/Fj0vXpHUpz03rVd9ffV19/fONOnZ08flLKlWfX1VGCpOXG6PV1/8+RNKsVn04IG9\nSktZ3jAEYD4LfQizYI+LaZqfNU2zyjTNWknvlvSUaZrvl3TRMIw7Aw/bL+l8uIoFAABYqqyMVGVn\npCx7q1hbb2CiWNH828AKGYk869lj7eobmtSudZmEFkRVSOOQ5whOFfttSV8yDCNN0mTgewAAgJgp\ndWbqSseIPF6fbEtsGL86Cnn+CVnO3ECPyyoPLj6fTz86eEFWq0U3b6bXB9EVcnAxTfMZSc8Evj4i\naW+kigIAAFiqssJMXWgdUv/wpIpfM9J4Me09Y8rLTlNWesq89wdXXPqHV/dZLo3netTcNaq7dlUq\nLzPW1WC1CfUcFwAAgLhW5vT/Jr3U7WLTLo96BiduuE1MkrLSU5SWalv1Z7n88OAFSdJb714f40qw\nGhFcAABAUigNBJeu/qUFl86+cfl8uuEoZClwCGWuQ/1Dq3fFxWwe0KlL/dq1qVi15bmLPwEIM4IL\nAABICmWFy1txaQ/0tywUXCTJmZuuobFpudyr8xDKHx68KEl6G6stiBGCCwAASAqzwWWJKy5tPf5z\nSBbaKiat7j6Xtp5RvXSqUxuq8rRtXWGsy8EqRXABAABJIT87TWmpNnX1TSzpecFRyJU3mCgWtJpH\nIv/4mUvy+aS33b1BFsvSJrYB4UJwAQAAScFisajMmanO/jH5fL7FnxDQ1jMmu82q4oKFJ5EVBkci\nr7IVl8GRKT35SqvKCjO1b1tZrMvBKkZwAQAASaPUmaHJaY+Gx2ZCerzP51N7z5jKizIXPfvFuUpX\nXB597rLcHq/ectf6JZ+PA4QTwQUAACSNskJ/n0qok8UGRqY0Oe1etL9FkgpzAz0uqyi4TEy59IsX\nrygvK0337K6KdTlY5QguAAAgaZQ5/du9OkKcLNbeG9pEMWlOj8sqOsvll4eaNT7l1htvX6vUFFus\ny8EqR3ABAABJY6lnuYQ6ClmSsjNSlGq3rpoeF5fbq588e0npaTbdf8uaWJcDEFwAAEDyWOpZLm2B\n4BLKVjGLxSJnXvqq6XF55mibBkam9Pp9a5SVkRrrcgCCCwAASB5FeemyWS0hn+USHIVcscgo5Lmv\nPzQ6LZfbu+waE4HX69OPnr4gm9Wih25fF+tyAEkEFwAAkERsNqtKCjJC3irW1jOmvOw0ZaWnhPR4\nZ2Ak8sBIcm8XO3K2W63dY7pzV6WK8tNjXQ4gieACAACSTGlhpobHZjQx5VrwcdMuj3oHJ0Lqbwla\nLYdQPvFKiyTpLXetj3ElwFUEFwAAkFTKnKH1uXT0jsnnC62/JciZm/zBxePx6sSFXpU6M7SmLCfW\n5QCzCC4AACCpzDboL7JdbCmjkIOKAisu/Uk8EvlC65DGp9zaubE41qUA1yC4AACApBLqisvVUcih\nNeZLV3tcknkk8jGzR5K00yiKcSXAtQguAAAgqZQGDqHs6p+44WM8Hq8OneqUJFWXhB5cVkOPy7Hz\nvbJapG3rCS6ILwQXAACQVEqdmbJYFl5x+eHBi7rUNqy76ytVXJAR8mvnZKYqxW5N2uAyPumS2TKo\njdX5IU9aA6KF4AIAAJJKaopNzhzHDXtcmjtH9N1fn1NBTpp++83blvTaFotFhbnpcd/j4vP5dLFt\nSD6fb0nPO3GxT16vTzsN+lsQfwguAAAg6ZQVZql/eFIzLs81t3s8Xv3zfx6V2+PT7799x7JOhHfm\nOTQ4Oi23J34PofzBUxf0yc8/o4ONbUt63qvn/f0tOzayTQzxh+ACAACSTqkzQz6f1D1wbZ/LDw9e\n1MXAFrGGLaXLeu3C3HT5fPF7CGXPwIT+8/HzkqQnDrcs6bnHzvcqw2HXxur8SJQGrAjBBQAAJJ35\nRiKvZIvYXLOTxeK0z+Xrj57SjMujzPQUnbzUp57BGw8pmKurf1ydfePatq5Qdhu/IiL+cFUCAICk\nMxtcAg364dgiFjR7lstQ/K24HD3Xo0MnO1VXW6APPVgnSXrmaGjbxV493ytJ9LcgbhFcAABA0ikN\nnOXSFQgu4dgiFuQMjkSOswZ9l9ujrz5yQlaL9Ltv3a5bb6pQit2qg41tITXpHzvP+S2IbwQXAACQ\ndGYPoewfD9sWsaDC3PgMLj9+5pI6+sZ1/621qi3PVVZ6ihrqStXaPapL7cMLPtfj9en4hT4VF2TM\n/tkB8YbgAgAAkk5meopyMlPV1jMWti1iQc68+Otx6Rmc0PeeOK+8rDT9xn2bZ2+/u75SknSwsXXB\n519sHdT4pEs7NxbJYrFEtFZguQguAAAgKZU5M9U9MBG2LWJBuZlpstuscdXj8vCjpzU949FvPlh3\nzcGRuzaVKDsjVc8ea5dngfHNx+hvQQIguAAAgKQUbNAP1xaxIKvVImeuI262ih0ze/TCiQ5tXlOg\nu+urrrkvxW7V7TvKNTQ6rVcv9C74GlaLdNP6wkiXCywbwQUAACSlDVV5slqk339HeLaIzVWYl67B\nkakFVzGiweX26quPnJxtyLdar9/mdfduf5g5eGT+6WITUy6ZzYPaUJUf9j8nIJzssS4AAAAgEh64\nba1u21GhghxH2F/bmeuQ1ycNjEyrKD897K8fqp88e0ntvWN64NZara3InfcxRnW+ygszdehUpyam\nXMpwpFxz/8mLffJ4fdqxkWliiG+suAAAgKRks1oiElqkOWe5LLBdbGzSpclpd0TeX5J6Byf1n4+b\nys1K1fvu23TDx1ksFt1VX6UZl0eHTnZedz/9LUgUBBcAAIAlci4wEtnt8er7T57XB/7ql/rbbx6O\nWA3f+Okpf0P+A3WLbvFaaLrYq+d7lJ5mk1GTH5E6gXBhqxgAAMASFc6ORL52stjF1iH97/96VZc7\n/OemnLjYp6lptxxp4f2V64UTHXrheIeMmnzt31296ONLnZnavKZAJy72qX94cjZ4dQ9MqL13XA11\npbLb+Dwb8Y0rFAAAYIlmV1wCZ7lMzbj18E9P61P/8owudwzr3oZq3dtQLY/Xp/Otg2F978vtw/r8\nd4/KkWrTx9+xY96G/PncXV8pn0965ujVJv1Xz/dIknYa9Lcg/hFcAAAAlijY49I3PKnj53v18X88\nqEeevqjiggz99e/coj94107tqfOfG3PmykDY3ndodFp//W8va3rGoz967y7VlOWE/NzbdlTIbrPq\nYOPV4EJ/CxIJW8UAAACWKDcrTTarRa+c6dYLxztktUhvvWu93vN6Q45U/69XdbUFkqQzl/vD8p4u\nt0d/883D6h2c1Pvu26Sbt5Uv6fnZGanaU1eiQyc7daVjWNWlOTp+vldF+ekqD5x5A8QzVlwAAACW\nyGq1yJmXrhmXR2vLc/W5T9ypD71xy2xokfzhpqIoS+eaB+Xx+lb0fj6fT1/+4QmdbRrQ7Tsq9M4D\nG5f1Onft8jfpP3WkVZfahjQ26dLOjcWyWELbbgbEEisuAAAAy/CRh7ZoYHhKr795zQ0b2+tqC/T4\n4RY1d47c8JyVUDz63GU9frhF6ytz9Qfv2rHsoLGnrkRZ6Sl69ljb7Hku9LcgUbDiAgBhXRZBAAAL\nJ0lEQVQAsAw3byvXA7etXXAaV12tU5J05sryt4sdPdejhx89pfzsNP35h/Zes6qzVCl2m27bUaGB\nkWn95NlLslik7esJLkgMBBcAAIAIqVsb6HNZZoN+W8+o/v7br8hms+qzH2pQYWAowEoEz3QZn3Rp\nfWWecjIXPgMGiBcEFwAAgAgpc2YqLztNpy/3y+dbWp/L2MSM/vrhlzU+5dZ/e8cObaopCEtNm9cU\nqKQgQ5K0YyOrLUgcBBcAAIAIsVgsqqst0MDIlHoGJ0N+ntfr0z/830a1947rbXev1/7dVWGt6fX7\namSxSPu2loXtdYFIozkfAAAggupqnXrxRKfOXOmfXelYzKsXenXU7NGuTcV6//11Ya/pbXdv0O07\nKlTqZAwyEgcrLgAAABG0ec3S+1yeO9YuSXrnPRtls4Z/VLHVaiG0IOEQXAAAACJobUWu0lJtIU8W\nc7k9OnSyQ4W5jtnQA4DgAgAAEFF2m1VGdb5aukY1OjGz6OOPmb0an3Lrth0VskZgtQVIVAQXAACA\nCAue53K2afHtYs8GtondsbMiojUBiYbgAgAAEGF1tf4tX2cX6XOZmnHr5dOdKnVmaH1lXjRKAxIG\nwQUAACDCjJp8WS1atM/lyNluTc14dPuOClksbBMD5iK4AAAARFiGI0W1Fbk63zKkGZfnho977tXg\nNrHKaJUGJAyCCwAAQBTU1Trl9nh1sW1o3vsnplw6cqZbVSXZqinNjnJ1QPwjuAAAAERBsM/lRue5\nvHy6SzNuL9vEgBsguAAAAETB1YMo5+9zCU4Tu31HedRqAhIJwQUAACAKnLnpKinI0NkrA/J6fdfc\nNzoxo1fP92htRa4qi9kmBszHHsqDDMOwSToiqc00zTcGbvu4pI9J8kh6zDTNP41YlQAAAEmgrrZA\nBxvb1NozqprSnNnbD53slNvj0x07OLsFuJFQV1w+IemMJJ8kGYZxt6SHJG03TXOrpH+MTHkAAADJ\nI3gQ5Wv7XJ4LbBO7jeAC3NCiwcUwjEpJ90v6uqRgp9jvSfpb0zRdkmSaZm/EKgQAAEgSVxv0r/a5\nDI5O6cTFXhk1+SopyIhVaUDcC2XF5fOSPi3JO+e2DZLuMAzjJcMwnjYMY3dEqgMAAEgilcXZys5I\nuWbF5cXjHfL6xDYxYBEL9rgYhvGgpB7TNI8ZhnHXa56Xb5rmPsMw9kj6L0lrF3uzxsbGldQKLAvX\nHWKB6w7RxjWXOMrybTrfPqGDzx1WToZNP3++R5KUbelXY+P8Z7zEK647RNNizfm3SHrIMIz7JTkk\n5RiG8W1JbZJ+JEmmab5iGIbXMAynaZrzz/cLqK+vD0fNQMgaGxu57hB1XHeINq65xNI0fEHn28/I\nnl2hmjUFavmPNm1d59TdtzfEurQl4bpDJCwUhhfcKmaa5mdN06wyTbNW0rslPWWa5vsl/VjSfkky\nDGOjpNTFQgsAAADmNuj36/nj/qZ8tokBiwtpHPIcwaHjD0t62DCMk5JmJH0grFUBAAAkqfVVuUqx\nW3XmyoDM5kFZrRbdsp1DJ4HFhBxcTNN8RtIzga9dkt4fqaIAAACSVYrdpo3V+TpzpV8+n7TLKFZu\nVlqsywLiXqjnuAAAACBMNq8pkC+wj+V2tokBISG4AAAARFnwPBe7zap928piXA2QGJba4wIAAIAV\n2lzrVHqaXbs3lygrPSXW5QAJgeACAAAQZVnpKfryn+5XpoPQAoSK4AIAABADztz0WJcAJBR6XAAA\nAADEPYILAAAAgLhHcAEAAAAQ9wguAAAAAOIewQUAAABA3CO4AAAAAIh7BBcAAAAAcY/gAgAAACDu\nEVwAAAAAxD2CCwAAAIC4R3ABAAAAEPcILgAAAADiHsEFAAAAQNwjuAAAAACIewQXAAAAAHGP4AIA\nAAAg7hFcAAAAAMQ9ggsAAACAuEdwAQAAABD3CC4AAAAA4h7BBQAAAEDcI7gAAAAAiHsEFwAAAABx\nj+ACAAAAIO4RXAAAAADEPYILAAAAgLhHcAEAAAAQ9wguAAAAAOIewQUAAABA3CO4AAAAAIh7BBcA\nAAAAcY/gAgAAACDuEVwAAAAAxD2CCwAAAIC4R3ABAAAAEPcILgAAAADiHsEFAAAAQNwjuAAAAACI\newQXAAAAAHGP4AIAAAAg7hFcAAAAAMQ9ggsAAACAuEdwAQAAABD3CC4AAAAA4h7BBQAAAEDcI7gA\nAAAAiHsEFwAAAABxj+ACAAAAIO4RXAAAAADEPYILAAAAgLhnD+VBhmHYJB2R1Gaa5hvn3P4pSf8g\nqdA0zYHIlAgAAABgtQt1xeUTks5I8gVvMAyjStK9kpojUBcAAAAAzFo0uBiGUSnpfklfl2SZc9c/\nSfqTCNUFAAAAALNCWXH5vKRPS/IGbzAM403ybxs7EanCAAAAACBowR4XwzAelNRjmuYxwzDuCtyW\nIemz8m8TC7LM8/TrNDY2LrNMYPm47hALXHeINq45xALXHaLJ4vP5bninYRh/I+n9ktySHJJyJP1C\n0u2SJgIPq5TULqnBNM2eiFYLAAAAYFVaMLjMZRjGnZL+eO5UscDtVyTVM1UMAAAAQKQs9RyX+VJO\naMkHAAAAAJYp5BUXAAAAAIiVpa64AAAAAEDUEVwAAAAAxD2CCwAAAIC4t+A5LuFgGMZ9kv5Zkk3S\n103T/F+Rfk+sPoZhVEn6d0nF8g+M+D+maX7BMIwCSd+TVCOpSdI7TdMcilmhSEqGYdgkHZH/YN43\nct0h0gzDyJP0dUlb5P+Z9yFJF8R1hwgxDOPPJL1P/gPJT8p/zWWKaw5RFNEVl8Bf5l+UdJ+kOknv\nMQxjcyTfE6uWS9InTdPcImmfpN8PXGufkfS4aZobJT0Z+B4It09IOqOrUxa57hBp/yLp56Zpbpa0\nXdI5cd0hQgzDWCPpo5J2maa5Tf4Po98trjlEWaS3ijVIumiaZpNpmi5J/ynpTRF+T6xCpml2mab5\nauDrMUlnJVVIekjStwIP+5akN8emQiQrwzAqJd0v/6fflsDNXHeIGMMwciXdbprmw5JkmqbbNM1h\ncd0hckbk/4AwwzAMu6QMSR3imkOURTq4VEhqnfN9W+A2IGICnwztlPSypBLTNLsDd3VLKolVXUha\nn5f0afm3TwRx3SGSaiX1Gobxb4ZhHDUM42uGYWSK6w4REjhk/HOSWuQPLEOmaT4urjlEWaSDC4fE\nIKoMw8iS9ENJnzBNc3TufaZp+sQ1iTAyDONBST2maR7T1dWWa3DdIQLsknZJ+lfTNHdJGtdrtuhw\n3SGcDMNYJ+kPJa2RVC4pyzCM9819DNccoiHSwaVdUtWc76vkX3UBws4wjBT5Q8u3TdP8ceDmbsMw\nSgP3l0nqiVV9SEq3SHrIMIwrkr4rab9hGN8W1x0iq03+QRCvBL7/gfxBpovrDhGyW9KLpmn2m6bp\nlvQjSTeLaw5RFungckTSBsMw1hiGkSrpXZIejfB7YhUyDMMi6RuSzpim+c9z7npU0gcDX39Q0o9f\n+1xguUzT/KxpmlWmadbK36j6lGma7xfXHSLINM0uSa2GYWwM3HRA0mlJPxXXHSLjnKR9hmGkB/6+\nPSD/QBKuOUSVxeeL7KqeYRhv0NVxyN8wTfNvI/qGWJUMw7hN0rOSTujqUvWfSTos6b8kVYtRjYgg\nwzDulPQp0zQfCoxD5rpDxBiGcZP8AyFSJV2SfzStTVx3iBDDMP5E/nDilXRU0kckZYtrDlEU8eAC\nAAAAACsV6a1iAAAAALBiBBcAAAAAcY/gAgAAACDuEVwAAAAAxD2CCwAAAIC4R3ABAAAAEPcILgAA\nAADi3v8DYILy+DJrRaMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "X_returns = np.random.normal(0, 1, 100) # Generate the daily returns\n", "# sum them and shift all the prices up into a reasonable range\n", "X = pd.Series(np.cumsum(X_returns), name='X') + 50\n", "X.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we generate Y. Remember that Y is supposed to have a deep economic link to X, so the price of Y should vary pretty similarly. We model this by taking X, shifting it up and adding some random noise drawn from a normal distribution." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAy4AAAHiCAYAAAAOBphNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "some_noise = np.random.normal(0, 1, 100)\n", "Y = X + 5 + some_noise\n", "Y.name = 'Y'\n", "pd.concat([X, Y], axis=1).plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Def: Cointegration\n", "We've constructed an example of two cointegrated series. Cointegration is a stronger form of correlation in which not only do two signals move in the same direction, but the distance between them stays on average the same. Specifically, this is known as sharing a stochastic drift.\n", "\n", "## Def: Hedged Position\n", "Because you'd like to protect yourself from bad markets, often times short sales will be used to hedge long investments. Because a short sale makes money if the security sold loses value, and a long purchase will make money if a security gains value, one can long parts of the market and short others. That way if the entire market falls off a cliff, we'll still make money on the shorted securities and hopefully break even. In the case of two securities we'll call it a hedged position when we are long on one security and short on the other.\n", "\n", "##The Trick: Where it all comes together\n", "Because the securities drift towards and apart from each other, there will be times when the distance is high and times when the distance is low. The trick of pairs trading comes from maintaining a hedged position across X and Y. If both securities go down, we neither make nor lose money, and likewise if both go up. We make money on the difference of the two reverting to the mean. In order to do this we'll watch for when X and Y are far apart, then short Y and long X. Similarly we'll watch for when they're close together, and long Y and short X.\n", "\n", "##Finding real securities that behave like this\n", "The best way to do this is to start with securities you suspect may be cointegrated and perform a statistical test. If you just run statistical tests over all pairs, you'll fall prey to multiple comparison bias." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import statsmodels\n", "from statsmodels.tsa.stattools import coint" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a sanity check let's run a cointegration test on the pair of fake securities X and Y." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.72745705361e-16\n", "True\n" ] } ], "source": [ "score, pvalue, _ = coint(X, Y)\n", "print pvalue\n", "print pvalue < 0.05" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's a method I wrote to look through a list of securities and test for cointegration between all pairs. It returns a cointegration test score matrix, a p-value matrix, and any pairs for which the p-value was less than 0.05." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def find_cointegrated_pairs(securities_panel):\n", " n = len(securities_panel.minor_axis)\n", " score_matrix = np.zeros((n, n))\n", " pvalue_matrix = np.ones((n, n))\n", " keys = securities_panel.keys\n", " pairs = []\n", " for i in range(n):\n", " for j in range(i+1, n):\n", " S1 = securities_panel.minor_xs(securities_panel.minor_axis[i])\n", " S2 = securities_panel.minor_xs(securities_panel.minor_axis[j])\n", " result = coint(S1, S2)\n", " score = result[0]\n", " pvalue = result[1]\n", " score_matrix[i, j] = score\n", " pvalue_matrix[i, j] = pvalue\n", " if pvalue < 0.05:\n", " pairs.append((securities_panel.minor_axis[i], securities_panel.minor_axis[j]))\n", " return score_matrix, pvalue_matrix, pairs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Looking for Cointegrated Pairs of Alternative Energy Securities\n", "I'm looking through a set of solar company stocks to see if any of them are cointegrated. We'll start by defining the list of securities we want to look through. Then we'll get the pricing data for each security for the year of 2014." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[2015-04-07 19:00:22.798798] INFO: requests.packages.urllib3.connectionpool: Starting new HTTP connection (1): localhost\n", "[2015-04-07 19:00:23.317863] DEBUG: requests.packages.urllib3.connectionpool: \"POST /api/pricing HTTP/1.1\" 200 26560\n" ] } ], "source": [ "symbol_list = ['ABGB', 'ASTI', 'CSUN', 'DQ', 'FSLR', 'HK', 'AAPL', 'MSFT']\n", "securities_panel = get_pricing(symbol_list, fields=['price'], start_date='2014-01-01', end_date='2015-01-01')\n", "securities_panel.minor_axis = map(lambda x: x.symbol, securities_panel.minor_axis)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll run our method on the list and see if any pairs are cointegrated." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(u'ABGB', u'FSLR'), (u'CSUN', u'AAPL')]\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuMAAAHiCAYAAABCycKcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu0bHdVJ/pvnRiBGALyEBATIhAnYAgBlKCNCIhNgBFe\njYa0tIC2RMYNL7HBxtuI3rZHc3kqUd4CIoJyeQhCAnp528oVBAHB2UZJSAIqbxIIL9n3j6pDip1d\ndU6yT9U6tfbnM0aNrFetM6uyq2rWrPn7rcnW1lYAAID12zd0AAAAsFdJxgEAYCCScQAAGIhkHAAA\nBiIZBwCAgUjGAQBgIN8xdAAAALAJqur3ktw7yb92960XHPPbSe6Z5MtJHtrd7192TpVxAAA4OC9O\ncuqinVV1ryQ37+4Tkjw8yXMOdELJOAAAHITufleSzy055D5JXjo79j1Jrl1VN1h2Tsk4AAAcGjdO\ncuHc+kVJvm/ZHdbRM761hn8DAIBDazJ0AIucdJMfX1l++cEL3rHbx739/ktjNYATYJe+9sXPDB3C\nRvnOY66bJLnwjecMHMlmOfbe9xw6BODALk5y7Nz69822LaRNBQAADo3XJ/nZJKmqOyb5fHf/y7I7\nqIwDALBRJpNhOmiq6hVJfjzJ9arqwiS/luTIJOnu53X3m6rqXlV1XpIvJXnYgc4pGQcAYKNMJsM0\nd3T3GQdxzFlX5pzaVAAAYCCScQAAGIhkHAAABqJnHACAjbLv8J0C/UpTGQcAgIGojAMAsFGGmtpw\nFSTjAABslH0DTW24CuN5JAAAsGFUxgEA2ChjalNRGQcAgIFIxgEAYCCScQAAGMjSnvGqukmSL3X3\np6vqR5LcKcl53f3atUQHAADbTEZ00Z+FyXhVPSnJQ2bLr0hy9yRvT3KvqrpLdz96LRECAMCcMU1t\nuKwyfkaSWyU5KsnHk9ywu79UVd+R5G/XERwAAIzZsq8VX+nur3b35zJtTflSknT3N5J8bS3RAQDA\nNpPJZGW3dVtWGb9WVT0gyWRuOfvXVx4ZAACM3LJk/J1JTtthOUnesbKIAABgiX0juujPwmS8ux+6\nxjgAAGDPWTabyrFJju/ud83WH5fk6CRbSf6wu89bT4gAADBOywZwPjXJtefWH57k0tnyr68sIgAA\nWGKSfSu7rduynvHq7jfMrV/W3U9Pkqp692rDAgCA8VuWjF992/pPzC1fbwWxAADAAQ0xBeGqLKvF\nf7Gqav9Kd38mSarqFkm+uOrAAABg7JZVxn8tyRuq6jeT/M1s2+2T/GqSR686MAAA2MmYpjZcWBnv\n7nOTPCDJ3ZO8ZHa7W5L7d/eb1hEcAACM2bLKeLr7w0n+05piAQCAA5pkPJXxZfOM/0CSJyb5bJJn\nJHlBkjsnOS/Jf+7uv15LhAAAMFLLBnC+OMn/SvLJJP/fbP16SX45ydmrDw0AAMZtWZvKd3X385Ok\nqs7s7j+ebf+zqnrq6kMDAIAr2jdZ/8V5VmXZI9maW75kyT4AAOAqWFYZv0VVfWi2fLO55SS56Qpj\nAgCAhcZ00Z9lyfgtt61vJZkkOS7Jr6wsIgAA2CMWJuPdff7+5aq6XZIzkvxUkvOTvHrVgQEAwE7G\ndNGfZVMbVqYJ+OlJPpXkVUn2dfdd1hMaAABc0Z6YZzzJR5P8aZJ7dPfHk6SqfmktUQEAwB6wLBl/\nQKaV8XdW1bmZVsbH8zUEAAAGtnBqw+5+XXefnuTEJO9K8tgk16+q51TVv19XgAAAMFbLKuNJku6+\nNMnLk7y8qq6T5IGZzqbylhXHBgAAVzCmi/4cMBmf192fTfL82Q0AANZuTPOMj+drBQAAbJgrVRkH\nAIChjWmecZVxAAAYiMo4AAAbZUwX/VEZBwCAgUjGAQBgINpUAADYKKY2BAAAdk1lHACAjWJqQwAA\nYNdUxgF26TuPue7QIWykY+99z6FDADaUqQ0BAIBdUxlndC79+HlDh7Bxjj7u5kOHABykL/zvDw0d\nwka51g/cOklyycf+fuBINss1v/8WQ4ew1L7JeOrJ43kkAACwYSTjAAAwEG0qAABsFBf9AQAAdk1l\nHACAjeKiPwAAwK6pjAMAsFHGdNEfyTgAABtFmwoAALBrknEAABiIZBwAAAaiZxwAgI3ioj8AAMCu\nqYwDALBRxjSbimQcAICNMqZ5xrWpAADAQFTGAQDYKHuiTaWqrrPsjt392UMfDgAA7B3LKuN/k2Rr\nwb6tJDc99OEAAMDesSwZ//HuvmBtkQAAwB6zLBl/bZLbrSsQAAA4GGO66M+yZHw8jxIAgNHYEwM4\nk9y4qn47OyflW939qBXFBAAAe8KyZPyyJO/LNBmfH8i5fR0AANZmTBf9WZaMf7a7X7q2SAAAYI9Z\nlox/dW1RAADAQdorPeMPqqprd/fnk6Sq7pbkfknOT3J2d39tDfEBAMBo7Vuy74+THJUkVXVyklcl\nuSDJyUl+d/WhAQDAuC2rjF+9uz8xW35wkhd199Oral+Sv119aAAAcEVDzjNeVacmeVaSI5K8sLuf\nsm3/9ZL8QZIbZpprP627X7LofMsq4/OP8ieSvDVJuvubVylyAADYYFV1RJKzk5ya5FZJzqiqW247\n7Kwk7+/uk5PcJcnTq2phAXxZZfxtVfWqJJ9Mcu3MkvGq+t4Y3AkAwEAGHMB5hyTndff5SVJVr0xy\n3yQfnTvmk0lOmi0fk+Qz3f2NRSdclow/JsnpmZbY7zQ3YPNmSa5zVaIHAIANduMkF86tX5TklG3H\nvCDJW6vqE0mumeSnl51wYTI+a0d5RZJU1e2q6jGzk30syTOvdOgAAHAIDNgzfjAXvnxikg90912q\n6mZJ/qyqbtPdl+x08MJkvKoqyRmZVsc/lelsKpPuvsuVDhsAADbfxUmOnVs/NtPq+LwfTfKbSdLd\n/1hVH0tSSd670wmXtal8NMmfJrlHd388Sarql65a3AAAcGhMMlhl/L1JTqiq45N8ItOi9Rnbjvn7\nJHdP8hdVdYNME/F/WnTCZbOpPCDJZUneWVXPraqfSIZ75AAAMKTZQMyzkrw5yUeS/FF3f7Sqzqyq\nM2eH/Y8kP1RVf5vkz5M8vrs/u+icy3rGX5fkdVV1dKajRB+b5PpV9Zwkr+3utxySRwUAABuiu89J\ncs62bc+bW/50ktMO9nzL2lT2n/DSJC9P8vKquk6SByb5lSSScQAA1m7fiHo1DpiMz5uV2J8/uwEA\nALtwpZJxAAAY2oBTGx5yywZwAgAAK6QyDgDARtk3osq4ZBwAgI2iTQUAANg1yTgAAAxEMg4AAAPR\nMw4AwEbZFz3jAADALqmMAwCwUcY0m4pkHACAjTKmeca1qQAAwEBUxgEA2CgjKoyrjAMAwFBUxhmd\no4+7+dAhAKzMtX7g1kOHsJGu+f23GDoE2JFkHACAjTKmAZySceBbPv76Nw4dwkY57j73HjoE9qAv\nf/KCoUPYKEfd6CZJki/8/QcHjmSzXOsWJw0dwp4hGQcAYKNMXIETAADYLZVxAAA2ypiuwKkyDgAA\nA1EZBwBgo5hNBQAABjKiXFybCgAADEUyDgAAA5GMAwDAQPSMAwCwUcY0gFNlHAAABqIyDgDARplk\nPJVxyTgAABtFmwoAALBrKuMAAGyUERXGFyfjVXVpkq0F9/nO7j5iZVEBAMAesDAZ7+6j59er6ugk\nZyU5M8lrVhwXAACM3gHbVKrq2kkek+QhSf4wyQ9192dWHRgAAIzdsjaV6yd5XJLTk/xekpO7+wvr\nCgwAAHYyGVHT+LLK+PlJPp1pIv7lJD9fVfsf+VZ3P2PFsQEAwBWMaWrDZcn4U+eWj154FAAAcJUs\nG8D55DXGAQAAB2VEhfGlPePP3rZpK8mnkrytu9+90qgAAGAPWNam8r5ccZ7x6yZ5alX9cXc/c3Vh\nAQDAzvZEz3h3v2Sn7VX1nCR/mUQyDgAAu7Dvyt6huy/LzlfmBAAAroQDXvRnXlUdmeTBSS5aTTgA\nALDcJHugTaWqLs0VK+CXJXlHkjNXGRQAAOwFy3rGzS0OAMBhZ09cgbOqbpLkC939+dn63ZLcL9Mr\nc57d3V9bS4QAADBSywZwvirJUUlSVSfP1i9IcnKS3119aAAAcEX7Jqu7rf2xLNl39e7+xGz5wUle\n1N1PT/LQJKesOjAAABi7Zcn4/HeDn0jy1iTp7m+uNCIAAFhiMpms7LZuy6Y2fFtVvSrJJ5NcO7Nk\nvKq+N8lX1xAbAACM2rLK+LOTfDDJx5LcaW7A5s2TvGTFcQEAwOgtq4w/K8l/7e4Pbtv++SSnJjl7\nZVEBAMACY5racFll/AY7JOKZbTt+ZREBAMAesawyfu0l+65+qAMBAICDMcQUhKuyrDL+3qp6+PaN\nVfULSd63upAAAGBvWFYZf0yS11bVz+Ty5Pv2Sa6W5P6rDgwAAHYypp7xhcl4d/9zVf1okrsmOTHJ\nVpI/7e63ris4AADYbkS5+NLKeLp7K9P5xSXgAABwiC3rGQcAAFZIMg4AAANZ2qYCAACHm30jahpX\nGQcAgIGojAMAsFEmGU9lXDIOAMBGGVGXijYVAAAYiso4AAAbxQBOAABg1yTjAAAwEMk4AAAMRM84\n8C3H3efeQ4cAHMBRN7rJ0CFspGvd4qShQ+AQmoyoZ1wyDgDARhlRLi4ZB4BN8oHf/oOhQ9goJz/q\nwUmSP3vCcwaOZLP85FMeMXQIe4ZkHACAjTKmNhUDOAEAYCAq4wAAbJR94ymMq4wDAMBQJOMAADAQ\nbSoAAGyUMQ3glIwDAMBBqqpTkzwryRFJXtjdT9nhmLskeWaSI5N8urvvsuh82lQAANgok8nqbstU\n1RFJzk5yapJbJTmjqm657ZhrJ/mdJKd194lJHrjsnJJxAAA4OHdIcl53n9/dX0/yyiT33XbMf0zy\n6u6+KEm6+9PLTqhNBQCAjbJvuJ7xGye5cG79oiSnbDvmhCRHVtXbklwzyW9198sWnVBlHAAADs7W\nQRxzZJLbJblXknsk+W9VdcKig1XGAQDYKAPOpnJxkmPn1o/NtDo+78JMB21eluSyqnpnktsk+Yed\nTigZBwCAg/PeJCdU1fFJPpHk9CRnbDvmT5KcPRvsebVM21ieseiE2lQAAOAgdPc3kpyV5M1JPpLk\nj7r7o1V1ZlWdOTvm75Ocm+SDSd6T5AXd/ZFF51QZBwBgowx5zZ/uPifJOdu2PW/b+tOSPO1gzqcy\nDgAAA1EZBwBgoww4gPOQk4wDALBRRpSLa1MBAIChqIwDALBRBrwC5yG3NBmvqnsleUKSH8z0akIf\nTPKM7n5tVV2zuy9ZQ4wAADBKC5PxqvqFJGcmeXyS98023z7J/6yq45LcL8ldVx4hAACM1LLK+C8l\nuVN3f2Zu21ur6p6ZXgr0sSuNDAAARm7pAM5tifj8tvO7+zkriwoAABaYTFZ3W7dlyfgXq+rk7Rur\n6jZJvrC6kAAAYLHJZLKy27ota1N5XJI/qaoXZ9ozPsm0Z/yhSR68+tAAAGDcFlbGu/vdSU5JckSm\nCfhDZsef0t3vWkt0AACwzZjaVJZObdjd/5zkv1XV98zW/3UtUQEAwB6wbGrDSZJfS3JWptXxVNW/\nJXl2kt/o7q21RAgAAHOG6O1elWUDOB+b5N8l+eHu/u7u/u4kd5htM60hAADs0rJk/GeT/Mfu/tj+\nDd39T0l+ZrYPAADYhWXJ+Hd096e2b5xtW9prDgAAqzKmAZzLkvGvX8V9AADAQVhW4T6pqi5ZsO8a\nqwgGAAAOZN+IBnAuTMa7+4h1BgIAAHuN3m8AADbKiArjS3vGAQCAFVIZBwBgo+yVi/4AAAArJBkH\nAICBaFMBAGCjjKhLRWUcAACGojIOAMBGMYATAADYNZVxAAA2yogK45JxAAA2izYVAABg1yTjAAAw\nEMk4AAAMRM84AAAbZUQt4yrjAAAwFJVxAAA2yphmU5GMAwCwUUaUi0vGAWCTnPyoBw8dwkb6yac8\nYugQYEeScQAANsq+EZXGJeMADOK9T3/p0CFslB963EOGDgFYAck4AAAbZUSFcVMbAgDAUCTjAAAw\nEG0qAABslDHNM64yDgAAA1EZBwBgo4yoMK4yDgAAQ1EZBwBgo0z2jac0rjIOAAADURkHAGCj6BkH\nAAB2TTIOAAAD0aYCAMBGcdEfAABg11TGAQDYKCMqjKuMAwDAUK50Ml5VP1JV564iGAAAOJDJZLKy\n27otbFOpqh9L8rtJbpbkw0kekeRJSY5N8t/XEh0AAGwzpjaVZT3jv5XkkUn+KsmpSf4iyS9399nr\nCAwAAMZuWTI+6e63z5ZfV1UXSMQBAODQWZaMX6uqHpBk/w8BR86tb3X3a1YeHQAAjNiyZPydSU5b\nsi4ZBwBg/UbUNL4wGe/uhy7aV1UPXEk0AACwh1zVecafeUijAACAg7QnpjYEAIDD0Yi6VFyBEwAA\nhrLsoj8fWnK/G6wgFgAAOKDJvvGUxpe1qZy2ZB8AALBLy2ZTOX9+vaqul+TOSS7o7vetOC4AABi9\nhT3jVfXGqjpxtnyjJB9O8rAkL6uqx64pPgAA+DaTyepu67ZsAOfx3f3h2fLDkrylu09LckqSn1t5\nZAAAMHLLkvGvzy3fPck5SdLdlyT55iqDAgCARfbKPOMXVdUjk1yc5LZJzk2SqjrqAPcDAAAOwrLK\n+M8nOTHJQ5Kc3t2fm20/JcmLVx0YAADsZEw948sq3Ffr7jO3b+zutyV52+pCAgCAvWFZZfxP9i9U\n1avXEAsAABzQmHrGlyXj82660igAAGAPOthkHAAAOMSW9YyfVFWXzJavMbecJFvdfcwK4wIAgB0N\nMdByVRYm4919xDoDAQCAvcZ84QAAbJQhBlruV1WnJnlWkiOSvLC7n7LguB9O8pdJfrq7X7PofHrG\nAQDgIFTVEUnOTnJqklslOaOqbrnguKdketHMpd8cJOMAAGyWfSu8LXeHJOd19/nd/fUkr0xy3x2O\ne2SS/yfJpw50Qm0qAABslAHbVG6c5MK59YsyvTr9t1TVjTNN0O+W5IeTbC07oco4AAAcnKWJ9cyz\nkvxKd29l2qKy9JuDyjgAAByci5McO7d+bKbV8Xm3T/LKqkqS6yW5Z1V9vbtfv9MJJeMAAHBw3pvk\nhKo6Psknkpye5Iz5A7r7W1eur6oXJ3nDokQ80aYCAMCGmUxWd1umu7+R5Kwkb07ykSR/1N0fraoz\nq+rMq/JYVMYBAOAgdfc5Sc7Ztu15C4592IHOJxkHAGCjDHnRn0NNMg4AwEYZUS6uZxwAAIaiMg7A\nIH7ocQ8ZOgRgU42oNK4yDgAAA5GMAwDAQCTjAAAwED3jAABslMm+8fSMS8YBANgoIxq/qU0FAACG\nojIOAMBGGdMVOFXGAQBgICrjAABslBEVxlXGAQBgKJJxAAAYiDYVAAA2y4j6VFTGAQBgICrjAABs\nlDFdgVNlHAAABqIyDgDARhlRy7jKOAAADEVlHACAzTKi0rjKOAAADEQyDgAAA9GmAgDARhlRl4rK\nOAAADEVlHACAjbLnL/pTVVc71IEAAMBeszAZr6onLdh+rSRvWVlEAACwxGQyWdlt3ZZVxn+sqv7H\n/IaqumGSdyR560qjAgCARSYrvK3ZsmT8tCS3qapnJElVnZDk3Ume292/vo7gAABgzBYm4939lST3\nT3J8Vb0iyZ8neXx3P3ddwQEAwJgtnE2lqh6XZCvJe5I8PtOq+Pfv397dz1hPiAAAME7Lpja8ZqbJ\neJI8e7Z8dKbdNFuL7gQAAKs0xEDLVVmYjHf3k9cYBwAA7DnL2lSePbe6lW8fX7rV3Y9aWVQAALDA\nnqiMJ3lfLk/Cfz3Jk3J5Qq5NBQCAYVyly1Yenpa1qbxk/3JVPbq7X7qWiAAAYI9YVhkHAIDDzpja\nVEZU5AcAgM2ybADnpbm8N/waVXXJ3O6t7j5mpZEBAMDILesZP3qdgQAAwF6jZxwAgI0ypp5xyTgA\nAJtlPLm4AZwAADAUlXEAADbKZN94SuMq4wAAMBCVcQAANsuIBnCqjAMAwEAk4wAAMBBtKgAAbJQR\ndamojAMAwFBUxgEA2ChjugKnyjgAAAxEZRwAgM0yoov+SMYBANgo2lQAAIBdk4wDAMBAJOMAADAQ\nPeMAAGyW8bSMq4wDAMBQVMYBgNH74j98eOgQNsoxJ5w4dAhLjWk2Fck4AAAbZTKieca1qQAAwEBU\nxgEA2CwjalNRGQcAgIGojAMAsFHGNIBTZRwAAAYiGQcAgIFoUwEAYLOMp0tFZRwAAIaiMg4AwEZx\n0R8AAGDXVMYBANgspjYEAAB2S2UcAICN4qI/AADArknGAQBgIFcpGa+qxxzqQAAA4KDsm6zutu6H\nchXv97hDGgUAAOxBBnACALBRxjSAUzIOAAAHqapOTfKsJEckeWF3P2Xb/p9J8vgkkySXJHlEd39w\n0fkWJuNVdWmSrQW7j7qScQMAwKExUGG8qo5IcnaSuye5OMlfV9Xru/ujc4f9U5I7d/cXZon785Pc\ncdE5Fybj3X30oQkbAAAOnQHbVO6Q5LzuPj9JquqVSe6b5FvJeHf/5dzx70nyfctOuKwyfo0kv5jk\nZkk+lORF3f2Nqxo5AABsuBsnuXBu/aIkpyw5/ueTvGnZCZf1jL80ydeSvDvJvZLcKsmjDypMAAAY\nn0Ut3FdQVXdN8nNJ/t2y45Yl47fs7lvPTvbCJH99sP84AACM0MVJjp1bPzbT6vi3qaqTkrwgyand\n/bllJ1yWjH+rJaW7v1FVVy5UAABYhQEuzjPz3iQnVNXxST6R5PQkZ8wfUFXHJXlNkgd393kHOuGy\nZPykqrpkbv0ac+tb3X3MlYkcAAA22axAfVaSN2c6teGLuvujVXXmbP/zkjwpyXcnec6smP317r7D\nonNOtrYOuvXlqlr5PwAAsMwX/+HDQ4ewUY454cRksAkED+xf3vX2leWXN/ixu6z1cV+pi/5U1Xcl\neUCSB3X3vVcTEgAALLGXrsBZVVdLcu9M+2HukWkPzHNXHBcAAIzesnnG75FpAn63JG9P8vtJfri7\nH7qWyAAAYAcDXvTnkNu3ZN85Sa6T5I7d/bPd/Ybo/wYAgENmWZvK7TKtjL+jqv4xyasyHTUKAAAc\nAgsr4939ge5+QpIfSPJ/JbltkiOr6pyqevi6AgQAgLFa1qaSJOnure7+i+4+K8mNk/yvJHdceWQA\nALCTfZPV3dbsoKY2rKr9LSs/leT8JK9eYUwAALDQmAZwLptNpTJNwE9P8qlMe8b3dfdd1hMaAACM\n27LK+EeT/GmSe3T3x5Okqn5pLVEBAMAie6EynumVNs9I8s6qOjfTyvh4HjkAAAxsYTLe3a9L8rqq\nOjrJfZM8Nsn1q+o5SV7b3W9ZU4wAAPAtkwEGWq7KAQdwdvelSV6e5OVVdZ0kD0zyK0kk4wAAsAsH\nNZvKft392STPn90AAIBduFLJOAAADG5EAzgPeNEfAABgNVTGAQDYKGO66I/KOAAADERlHACAzaIy\nDgAA7JbKOAAAG2VMF/1RGQcAgIFIxgEAYCDaVAAA2CwGcAIAALulMg4AjN4xJ5w4dAgcSiOqjEvG\nAQDYKK7ACQAA7JrKOAAAm8U84wAAwG5JxgEAYCCScQAAGIiecQAANspkMp56smQcAIDNYmpDAABg\nt1TGAQDYKC76AwAA7JrKOAAAm8VFfwAAgN2SjAMAwEC0qQAAsFEM4AQAAHZtYTJeVWetMxAAADgo\nk8nqbmu2rDL+82uLAgAA9iA94wAAbJbJeDqtlyXjJ1XVJQv2bXX3MasICAAA9oplyfgHu/u2a4sE\nAAAOwsRFfwAAgN1aloy/dm1RAADAHrQsGb///oWqevYaYgEAgAPbI1MbzrvTSqMAAIA9yNSGAABs\nlMkAFexVWZaM36KqPjRbvtnccjKd2vCkFcYFAACjtywZv+XaogAAgIO1Fy76093nz69X1fWS3DnJ\nBd39vhXHBQAAO9oT84xX1Rur6sTZ8o2SfDjJw5K8rKoeu6b4AABgtJbV+I/v7g/Plh+W5C3dfVqS\nU5L83MojAwCAkVuWjH99bvnuSc5Jku6+JMk3VxkUAADsBcsGcF5UVY9McnGS2yY5N0mq6qgD3A8A\nAFZnRFMbLquM/3ySE5M8JMnp3f252fZTkrx41YEBAMDYTba2tlb9b6z8HwAA4JA7bMvPX/7Ex1aW\nXx71vd+/1se9sN2kqt6QaSK9U0Bb3X2flUUFAACL7IV5xpPcMclFSV6R5D2zbfsTc9VuAADYpWXJ\n+I2S/GSSM2a3NyZ5RXf/3ToCAwCAHY3ooj8H1TNeVVfLNCF/WpInd/fZV+LfUEUHANg8h23G++V/\n+fjqesZvcNzh0TOeJFV19ST3TvKgJMcn+a0kr119WAAAMH7LBnC+LMkPJnlTkt/o7g+tLSoAANgD\nFrapVNU3k3xpwf22uvuYg/w3tKkAAGyew7ZN5bJ/vXBl+eU1vufYtT5u84wDALCTwzcZ/9TFq0vG\nr3/jtT7u8UzSCAAAG2bpAE4AADjcTCaHbdH+SlMZBwCAgaiMAwCwWSbjqSeP55EAAMCGkYwDAMBA\ntKkAALBRJvsM4AQAAHZJZRwAgM1iakMAAGC3VMYBANgoE1MbAgAAu6UyDgDAZhlRz/hka2tr6BgA\nAGBP0qYCAAADkYwDAMBAJOMAADAQyTgAAAxEMg4AAAORjAMAwEAk4wAAMJDRXfSnqu6X5DVJbtnd\nXVXHJ/lokr9PMknypSQP6+7/PTv+1CS/nuSYJF9J0kn+S3dfWFUvSXLnJF9IcvUkr+ju31jvI1q/\nHZ7DfUmeleSuSbYyfZ5+Oskrk1wtyXWSXCPJxbP990/yjiS36+7Prv8RrEdV3TDT5+WHknw+yb8k\neUySR+bbn6uf6u4LqurS7j567v4PTXL77n5kVT05yX9Jcnx3f2q2/9uOH7uq+rckH0xyZJJvJPn9\nJM/s7q3Z/jsleXqmr9UkeUZ3v2CIWIcy9xztd98kX03yoiTfl+lzd35333v23veG7r71tnO8JJe/\nr20leXR3v2v10R9eDuL1eEl3P72qrp7kDUnetRfe/7fb/nkwt/3kJH+T5J7d/ea57fv/Rr8j08/e\nh3T3ZXuded6fAAAHEklEQVTl/ayqvpnk5d39n2br35Hkk0n+qrtPq6obZPHrdX+ust9rM/08TZKT\ncvlr/0XdffbKHwxrM7pkPMkZSf509t8nz7ad1923TZKqeniSJyZ5aFWdmOS3k5y2/02mqk5LcnyS\nCzP9oPrl7n5NVV0tyUeq6qXdfcEaH88Qtj+Hpye50f4P9ar63iRf7u47ztYfkumH2KP2n6CqRn01\nqaqaZPpG+eLuftBs20lJHpQdnqvZ3bY/J9vXP53kcUl+ZcH+sfvy3Ov0+kn+MNPE+8mzLz4vT3Lf\n7v5AVV03yZur6uLuftNwIa/dt56j/arqeUne3N3Pnq2feIBzzL+v3SXJ7ya59fK7jNKy1+NWkq2q\n+s4kr07y13sxEZ/Z6TN1+/Y3z22ffx3/QZJfTPLM7J33sy8l+cGqunp3fyXJTya5KJc//t/I4tfr\nedtf37PjU1WX7LCPkRhVm0pVHZ3klCRnZZpA7uRaSfZXa5+Q5Dfnv+139xu2VYn2X2/1qNl/v3To\nIj78LHgOb5jpN/skSXd/ors/P3e3SS5/nvaKuyb5Wnc/f/+G7v5gkkuz/LlaZCvJ7yU5vaqufaiD\n3TSzXwcenunfYZL8H5l+8fnAbP9nkjw+09fwXnfDTH+VSpJ094cP4j77X69/leRmqwhqA21/Dzsy\n01//urufOEA8g1v0mTorRjwg00T7brNi1U7enb359/WmJPeeLZ+R5BW5/O/rqrxeGblRJeOZ/mR7\nbnd/PMmnqup2s+03q6r3V9V5SR6b5Bmz7bfK9Ge2RSZJnlpV70/y8UzbVD69otgPFzs9h3+c5LTZ\nc/i02c+T8/ZKxWPeiUnet8P2Az1Xy1yaaUL+mEMR4Kbr7o8lOaKqvifT1+r25/t9SX5w7YEN6xqz\nv633V9WrZ9t+J8mLquqtVfXEqrrRlTjfqUn2ajIw/1y+P9N2xf3vZZNMv+x9tbt/abAIh7foM/VH\nk/xjd38iydtzeeL5LbP2jHsm+dCaYj2c/FGSB82+pNw6yXvm9i17vd5s7m/y2esMmGGNLRk/I8mr\nZsuvmq1vZfqmcdvuvnmmic4V+kyr6rpV9YGq6qp63Gzz/p9zb5vpt9m7V9WPrPxRDOsKz2F3X5yk\nkvzXJN9M8v9W1d0Giu9wseMXkKvwXG3/afy3kzxkVpHi2+3068uRa49iWJfN3stu293/IUm6+y1J\nbprp+9otkry/qq635Bz7iwydaeX3EasO+jA1/1zeNsmTcvnf2FamVd0fraoTBotweDt9pi7bnsy+\n5CT56yTnZ9ofvad094cybXc9I8kbt+1b9nr9x7m/yUeuMWQGNpqe8aq6TqatAyfO+pWPyDQZ+p1t\nh74hyYtny3+X5PZJPjT72fvkWSJ+hUSou79UVW9Pcqckf7mSBzGwBc/hVqYDWr+W5Nwk51bVvyS5\nX5K3Dhbs8P4uyQN32rHkubqsqo7s7q/PDr1ukk/N3XXS3V+oqj/M5e0Ze1ZV3TTJv3X3v1bVRzJ9\nrb5+7pDb59sHM+5Z3f25TH8Kf0VVvSHTAZqLfvWb7xk/K9Mk9L7rifSwtv3L3juTvDTJOVV1p+7+\n5wFiGsyiz9SqekKS/5DkPlX1f2b6vF2nqr6ru7+U2ZecwQI/fLw+ydOS/HiS68/vuJKvV/aAMVXG\nH5jk97v7+O7+/u4+LtNv5cdtO+5OSc6bLf/fSX61qm4xt/+78u3VyknyrZ/cTpm77xjt9Bx+rKp+\nbDYQMbOZVW6T6XO7317rF093vzXJ1arqF/Zvq6qTqurOS56rdyR58GzfNZL8VJK37XD6ZyQ5MyP6\nsnxlzQZwPjfJ/p9qfyfTQde3me2/bpL/mctbzvasqrprVR01W75mpj26BxpkPkmS2YwMx+6BX/yu\nrP3Pz2syTajOraprDRvS2i36TP3VJB/o7uNm24/PdLaVBwwX6mHp95I8ubv/bn7jVXy9MnJj+rB/\nUKYfzvNenenMFDed/Ww2yXQasP+cTAdOVNWjk/x+VR2T6WwWFyT5tblzPHX27f87k/x5d792tQ9j\nUIuew5cm+ezcIJ33JJmfVmkrB54pZIzun+RZs0rRVzL9oDo3yTMWPFePTvK8qnpUpn+LL+3ud8+d\nbyuZDk6sqtdk7/WO7/95+9umNkyS7v7nqnpwkufPkqLjkzxh5K/Hnez0urp9krOr6huZFlhe0N3v\nq+lUaVVVF84d+9gdzvPfM33PO3UF8R7OdnrP2tq+3N3Prel0dK+vqn/f3V9dY4xDWvR5cNtMZ5La\nvv0Xk7wsi9/7j9r2t/j07n7WoQj0MLP/7+biXP7eP/+3tez1uuxzcy98pu5Zk60t/3+BzVJVj8h0\nrvv7dPclQ8cDAFeVZBwAAAYypp5xAADYKJJxAAAYiGQcAAAGIhkHAICBSMYBAGAgknEAABjI/w97\nh565R7+IJwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# series_list = load_prices(symbol_list)\n", "scores, pvalues, pairs = find_cointegrated_pairs(securities_panel)\n", "import seaborn\n", "seaborn.heatmap(pvalues, xticklabels=symbol_list, yticklabels=symbol_list, mask = (pvalues >= 0.5))\n", "print pairs" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Looks like 'ABGB' and 'FSLR' are cointegrated. Let's take a look at the prices to make sure there's nothing weird going on." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAy4AAAHOCAYAAAB+aF0AAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S = securities_panel.loc['price', :, ['ABGB', 'FSLR']]\n", "S.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Def: Moving Average\n", "A moving average is just an average over the last $n$ datapoints for each given time. It will be undefined for the first $n$ datapoints in our series." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzUAAAHOCAYAAAChJicfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the difference\n", "difference = securities_panel.loc['price', :, 'ABGB'] - securities_panel.loc['price', :, 'FSLR']\n", "difference.name = 'diff'\n", "# Get the 5 day moving average of the difference\n", "diff_mavg5 = pd.rolling_mean(difference, window=5)\n", "diff_mavg5.name = 'diff 5d mavg'\n", "# Get the 60 day moving average\n", "diff_mavg60 = pd.rolling_mean(difference, window=60)\n", "diff_mavg60.name = 'diff 60d mavg'\n", "\n", "pd.concat([diff_mavg60, diff_mavg5, difference], axis=1).plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the moving averages to compute the z-score of the difference at each given time. This will tell us how extreme the difference is and whether it's a good idea to enter a position at this time. Let's take a look at the z-score now." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAy8AAAHOCAYAAACRqjY+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEkHBi4iIiIiIJML/B5fHGdTmdCP8AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Take a rolling 60 day standard deviation\n", "std_60 = pd.rolling_std(difference, window=60)\n", "std_60.name = 'std 60d'\n", "\n", "# Compute the z score at each time\n", "zscore = (diff_mavg5 - diff_mavg60)/std_60\n", "zscore.name = 'z-score'\n", "zscore.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The z-score doesn't mean much out of context, let's plot it next to the prices to get an idea of what it looks like. We'll take the negative of the z-score because the differences were all negative and that's kinda confusing." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAy8AAAHOCAYAAACRqjY+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the prices scaled down along with the negative z-score\n", "pd.concat([S/10, -zscore], axis=1).plot()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }