{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Integration, Cointegration, and Stationarity\n", "by Delaney Granizo-Mackenzie and Maxwell Margenot\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" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "import statsmodels\n", "import statsmodels.api as sm\n", "from statsmodels.tsa.stattools import coint, adfuller\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Stationarity/Non-Stationarity\n", "\n", "A commonly untested assumption in time series analysis is the stationarity of the data. Data are stationary when the parameters of the data generating process do not change over time. As an example, let's consider two series, A and B. Series A is generated from a stationary process with fixed parameters, series B is generated with parameters that change over time." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def generate_datapoint(params):\n", " mu = params[0]\n", " sigma = params[1]\n", " return np.random.normal(mu, sigma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Series A" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0MAAAHxCAYAAACvXWe4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set the parameters and the number of datapoints\n", "params = (0, 1)\n", "T = 100\n", "\n", "A = pd.Series(index=range(T))\n", "A.name = 'A'\n", "\n", "for t in range(T):\n", " A[t] = generate_datapoint(params)\n", "\n", "plt.plot(A)\n", "plt.xlabel('Time')\n", "plt.ylabel('Value')\n", "plt.legend(['Series A']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Series B" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0MAAAHxCAYAAACvXWe4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nql2H1g5sAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set the number of datapoints\n", "T = 100\n", "\n", "B = pd.Series(index=range(T))\n", "B.name = 'B'\n", "\n", "for t in range(T):\n", " # Now the parameters are dependent on time\n", " # Specifically, the mean of the series changes over time\n", " params = (t * 0.1, 1)\n", " B[t] = generate_datapoint(params)\n", "\n", "plt.plot(B)\n", "plt.xlabel('Time')\n", "plt.ylabel('Value')\n", "plt.legend(['Series B']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Why Non-Stationarity is Dangerous\n", "\n", "Many statistical tests, deep down in the fine print of their assumptions, require that the data being tested are stationary. Also, if you naively use certain statistics on a non-stationary data set, you will get garbage results. As an example, let's take an average through our non-stationary $B$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0MAAAHxCAYAAACvXWe4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd4XOWZN/7vma4ZzYx6L7YsG/cmwDU2NoSSQAiBQBLi\nJGQ3u28Cv82+/NhkSd2NySa81xtI2CUJSwqBeJ2EEHpPwAYbmyLbsnGVZUuy+kiarulz3j9GZyRZ\n05va93Nde60jzZzzyBzD3L7v5/sIoiiKICIiIiIimmNkU70AIiIiIiKiqcBiiIiIiIiI5iQWQ0RE\nRERENCexGCIiIiIiojmJxRAREREREc1JLIaIiIiIiGhOynoxdOrUKVx11VXYtWsXAKC3txdf+tKX\nsGPHDtxxxx0YHBzM9hKIiIiIiIgmyWox5HK5cP/992Pz5s3hr/3sZz/DrbfeiieeeAJXXXUVfvvb\n32ZzCURERERERBFltRhSqVR45JFHUFJSEv7a9773PVxzzTUAgMLCQlgslmwugYiIiIiIKKKsFkNy\nuRwqlWrC17RaLeRyOQKBAHbv3o0bbrghm0sgIiIiIiKKSDEVNw0EAvjGN76B9evXY/369TFf29zc\nnKNVERERERHRTNXU1JT0e6akGLr33nsxf/583HnnnQm9PpUfjCgVzc3NfN4oZ/i8US7xeaNc4zNH\nuZRqAyUn0dqiKIZ//dxzz0GlUuGuu+7Kxa2JiIiIiIgiympn6MiRI/jud7+LoaEhyOVy/OEPf0Ag\nEIBGo8GOHTsAAI2Njfj+97+fzWUQERERERFNktViaPXq1Xj++eezeQsiIiIiolkhGAzC6/VO9TKm\nPZVKBZksMwNuORmTIyIiIiKi2LxeLzwez1QvY1rzeDwZLRinJECBiIiIiIgmU6vV0Gg0U72MOYOd\nISIiIiIimpNYDBERERER0ZzEYoiIiIiIiOYk7hkiIiIiIqKwXbt2hc8GdbvduPvuu7Fhw4aE3nv3\n3XfjRz/6EdRqdUr3XrZsGdauXQsAcLvd+Md//EdcddVVKV0rESyGiIiIiIgIANDV1YUnn3wSTz31\nFORyOc6fP4/vfe97CRdDDzzwQFr31+v1eOKJJwAAvb29uOOOO1gMERERERFR9jkcjnB8dV5eHubP\nnx8uTs6ePYudO3dCEATodDr8+Mc/htVqxTe+8Q3odDp87nOfw86dO/Hiiy/CZrPhO9/5Dnw+H+Ry\nOe677z5UVlbivvvuw4cffohgMIjPfvazuOmmm6KuxWQyoaKiIqs/L4shIiIiIqJp6DfPH8f+lu6M\nXnPTqmp8+YZlUb+/ePFirFy5EldeeSW2bt2KLVu24Oqrr4ZcLsfOnTuxc+dO1NXVYdeuXdi1axdu\nuOEGnDx5Env27IHRaMTOnTshiiJ+9rOf4ctf/jI2bNiAvXv34uc//znuuece7N27F6+//jr8fj+e\nfvrpSfd3OBzYsWMH/H4/Ojs78eCDD2b0578YiyEiIiIiIgq7//770dbWhn379uFXv/oVdu/ejccf\nfxxHjx7Ft7/9bQCAz+fDihUrAAC1tbUwGo0TrnH48GG0t7fj5z//OYLBIIqLi2E0GjFv3jx87Wtf\nw7XXXosbb7xx0r3z8/PDnajBwUF86Utfwq5duyZdP1NYDBERERERTUNfvmFZzC5Otni9XixYsAAL\nFizAjh07cN1116GnpwdarTZcqEi6urqgVConXUOlUuGhhx5CSUnJhK8/+uijOHHiBJ5//nk8++yz\n+PWvfx11HSUlJWhsbMSpU6ewbt26zPxwF2G0NhERERERAQCefPJJ3HvvvRBFEQBgs9kgiiKKi4ux\nePFivPXWWwCAF198EQcOHIh6nVWrVuH1118HABw4cAAvvPACuru78fjjj2Pp0qX45je/CbPZHHMt\nXq8XZ86cwbx58zLzw0XAzhAREREREQEAbr75Zpw7dw633nortFot/H4/vv3tb0OtVuNb3/oWvve9\n7+HRRx+FRqPBT37yE9hsNgiCEH6/IAgQBAF33XUX7r33Xrz44osQBAE//vGPUVZWhiNHjuCll16C\nSqXCLbfcMun+0p4hIBStfccdd6C8vDxrP68gSmXfNNXc3IympqapXgbNEXzeKJf4vFEu8XmjXOMz\nlzy32w0A0Gg0U7yS6Sva71GqzxvH5IiIiIiIaE5iMURERERERHMSiyEiIiIiIpqTWAwREREREdGc\nxGKIiIiIiIjmJBZDREREREQ0J7EYIiIiIiIiAEBXVxcWL16Mo0ePTvj6LbfcgnvvvXeKVpU9LIaI\niIiIiCistrYWL7/8cvh/d3d3w2azTeGKskcx1QsgIiIiIqLpQRAErFq1CgcPHgx/7dVXX8WmTZvg\ndrvxwQcf4MEHH4RCoUBlZSV27twJQRDwzW9+E/39/XC73bjrrrtwxRVXYMeOHdi0aRMOHjwIs9mM\nX/7yl6isrJzCn24ydoaIiIiIiKarefMi/1+mXh+BUqnEkiVL0NLSAgDYs2cPtm7dClEU8cMf/hC/\n+MUv8Lvf/Q7FxcV45ZVXYLPZsHnzZvz+97/Hgw8+iIceeih8Lb1ej8ceewxbtmzBa6+9ltQ6coGd\nISIiIiKiBIiiiEBQhEI++/sJ11xzDV5++WWUl5fDaDRCq9VicHAQ7e3tuPPOOwEAbrcbRUVFMBgM\nOHbsGP70pz9BJpPBarWGr9PU1AQAqKiogNlsnpKfJRYWQ0RERERECdhzqAsP/fEIfvHN7ago1uXm\npu3t2X39RURRBABs3LgRDzzwAKqqqnD11VcDAFQqFcrLy/HEE09MeM/TTz8Nq9WK3bt3Y3h4GLfc\nckv4ewrF9C43Zn9ZS0RERESUAUfOmOAPBHG+Z3aGCYynVCqxdOlS/PnPf8a2bdsAAAaDAYIgoK2t\nDQDwxBNP4PTp07BYLKipqQEAvPbaa/D5fFO27mRN71KNiIiIiGia6DY5AAA2p2eKV5I9giCEf33t\ntdfCbDYjPz8//L377rsP9957L5RKJcrLy/GZz3wG+fn5+OpXv4pDhw7h5ptvRmVlJR5++OEJ15qu\nWAwRERERESWgZ7QYsjq8U7yS7KmursaPfvQjAMDWrVuxdetWAMDll1+Oyy+/HADwpz/9adJ7nnvu\nufD//uQnPwkA4b1FAHD77bdndd2p4pgcEREREVEcVocH9pHQ+JfNOXuLobmGxRARERERURzSiBwA\nWGfxmNxcw2KIiIiIiCiOnnHFkG0Wj8nNNdwzREREREQUR9dAbjpDHg+7TrF4PB6o1eqMXY/FEBER\nERFRHNKYnEYlz1qAgkqlysp1ZxO1Wp3R3ycWQ0REREREcXSbHNBpFKgs0aGz3xH/DSmQyWTQaDRZ\nuTZFxj1DREREREQxBIIiegedqC7LhyFfDa8vALfHP9XLogxgZ4iIiIiIKIaB4RH4AyKqS/PDX7M6\nvdCo+VF6pmNniIiIiIgoBmm/UHVpPoz5oc37VgeDDnJFFEX4/IGsXJvFEBERERFRDOFiqCwfBl1o\n8/5sO3h1xO2btgXeg7sP4esP7MnKtVkMERERERHF0D0w1hky6EKdIdssO3j1Px57D3f/7C0Eg+JU\nL2UCURTRfGoAPn8wK9dnMUREREREFIPUGaos0cGYH+oMZSteeyqIoojWCxYMDI+grdsy1cuZYNDi\nhs3pxYLqgqxcn8UQEREREVEMXQMOlBbmQaNSwKibfXuGHC4fRtyhdLzDp01TvJqJpOJsQY0xK9dn\nMUREREREFIXL48ewzR1OkpM6Q7Npz1DfkDP860OnB6ZwJZO1dVkBgJ0hIiIiIqJck0bkakaLIUM4\nTW42FUMj4V+fah/GiNs3hauZ6GwXO0NERERERFNCCk+oGi2GdBoF5DIB1lkUoCB1huZXGRAIijh2\ndnCKVzTmXLcFJQV54UjzTGMxREREREQURc+4WG0AEAQBBp1qVo3J9Q+HOkPXbZgHADh8ZnrsGxq2\nuTFs82BBdXa6QgCLISIiIiKiqLouGpMDAGO+GrZZFKDQPzomt2VNDfLUChyeJvuGznWP7heqyc5+\nIYDFEBERERFRVN0mB1QKGUoK8sJfM+hUcLr9WTv7Jtf6hp0o0Kuhy1NiZWMJegadE0IVpkq29wsB\nLIaIiIiIiCISRRE9JgeqSvMhkwnhr0v7V2bDwauBQBADZhcqirQAgDWXlAGYHqNybaPFUCM7Q0RE\nREREuTVsc8PlCYRjtSUG3eyJ1x60uhEMiqgo1gEA1krF0DQYlWvrtqJQr0aRQZO1e7AYIiIiIiKK\noPui8ASJUSqGZkG8tjQOV14c6gxVluhQUaxFS6sJgcDUjQFaHR6YzK6s7hcCWAwREREREUUkxWpX\nl+omfD181tAsGJOTzhiSxuSA0KjciNuP053mqVoW2qTwhCwmyQEshoiIiIiIIpKS5C4ekzPmhzpD\ns+Hg1f5hqTM0VvCtWSSNyk3dvqG2cHgCO0NERERERDnXYwoVCpOKId3s6Qz1hztDY8XQqoUlkMmE\njO0b6ui14Z6H3sKFfnvC7wl3hrKYJAewGCIiIiIiiqh7wAFjvgr5WtWErxvyZ9GeoWEnFHIZioxj\nIQVajRKL6wvResEM+0j6P+Mze9twusOMl945n/B7znVZodeqUDou0jwbsl4MnTp1CldddRV27doF\nAOjt7cWOHTtw++2345//+Z/h9c78h4iIiIiIZhefP4D+YeekrhAwu9Lk+oZGUFaYB/m46HAgtG8o\nKAJHWwfTur7b68f+oz0AgIMf9kEUxbjvcbh86B1yYkGNEYIgxH19OrJaDLlcLtx///3YvHlz+GsP\nPfQQPv/5z2PXrl2or6/HU089lc0lEBERERElrW9oBEFx8ogcABhGO0UzfUxuxO2DzekNx2qPJ0Vs\nH0pzVO69431wefxQyAUMWlzhg1RjOdc9ul8oy+EJQJaLIZVKhUceeQQlJSXhr7333nvYvn07AGDb\ntm04cOBANpdARERERJS0roHI4QkAIJfLoNcqZ3yAQv9waL+QFKs93oKaAui1Shw+M5BQNyeaN5u7\nAACfvXoxAODAsd6472nrCu0XaqzNbngCkOViSC6XQ6WaOGPpcrmgVCoBAEVFRRgYmPoDnYiIiIiI\nxot2xpDEoFPDNsM7Q30RwhMkcpmAVQtLYTK7woVhssx2Nw6dHkBjjRGf2NIAlVKeVDG0oDr7xZAi\n63eIIdEqs7m5OcsrIRrD541yic8b5RKfN8q1mfzMtZwcBgBYBjrQ3Nwz6ftyeGFzevH+Bx9AluV9\nLdnywclQupvT0ovmZuuk7xdpXACA5/7WjPWX6JO+/sHTdgSDIhrLgOPHWtBQrsSpLgdeeeMgSo3K\nqO873tYHtVJAd/tJ9HRk9/c258WQVquF1+uFSqVCf38/ysrK4r6nqakpBysjCv1Lm88b5QqfN8ol\nPm+UazP9mfvjO29DJnPhyi2XQ6mYPEz1ytF30Wnqw6LFK2AcPYR1pnm/4ygAKzZetiLieT51DS48\n9+5rGBzRpPTP8vdv74VMJuBzn1iPQr0GVvECTu0+BFuwCNc2LYr4nhG3D0O7u7C8oQSXXnppwvdK\ntfDOSbT2+A7Qxo0b8corrwAAXnvtNWzZsiUXSyAiIiIiSli3yYHyIm3EQghAuACayYly0p6hSAEK\nAFBamIfa8nwcaxuEzx9I6toX+u04e8GCNYtKUagPxXZfvrQccpmAAx9GH5U732ODKGb/fCFJVouh\nI0eO4IYbbsDu3bvxy1/+EjfccAPuvPNOPPPMM7j99tths9lw0003ZXMJRERERERJsY+ERuAihSdI\nZkO8dt+QE3qtErq86CNraxaVweMN4MT54aSu/WbzBQDAtqba8NfytSqsaCzB2QsWDJhHIr6vTUqS\ni9CpyoasjsmtXr0azz///KSv/+Y3v8nmbYmIiIiIUiaFJ9RECU8AxjpDVsfMDFEIBkX0D4+gvtIQ\n83VrLinDc2+fw+HTA1i1sDTha+891IU8tQLrlldM+N6GFZU4csaEgx/24hMfWTDpvWPhCbOgM0RE\nRERENNN0j6anVcXoDBl10llDM7MzZLa74fMHUV40OVZ7vOUNxVDIZTh8xpTwtU+cH8KA2YWNKyuh\nUU3svaxfXglBAA4e64v43rYuCzQqeczf+0xiMURERERENE64MxRzTG50z9AM7QyNxWrHLoY0agWW\nNRThXLcVZrs7oWtLZwttW1s76XtFBg0uqSvE8XODk7pqbq8fF/rtaKg2Qi7LTUIfiyEiIiIionHC\nB67GGJMz5M/sPUP9w04A0cMTxluzKJT+3JJAd8jrC2B/SzeKjRosbyyJ+JoNKyoRFIH3jk/sDnX0\n2hAUc7dfCGAxREREREQ0QY/JgTy1AoX66JHZRp20Z2hmFkPhzlBx7M4QENo3BABvHelGMBj7nND3\nTvTB6fbjirU1Ubs761dUAsCkVLm27tzuFwJYDBERERERhQWCInoGnagu1UGIcZiqMV/aMzRTx+RC\nnaHyovidoflVBjTWFuD9E/34ryePIBCjINojjcg1TR6Rk1SV5GNepQFHzpgw4vaFv372Qm6T5AAW\nQ0REREREYSbzCHz+IKpL9TFfp1LKkaeWwzZDO0P9wyOQCaGzhOIRBAH//pUNaKwx4vX3OvHg/xxC\nIBCc9Dqrw4MPTvajocoYN6Vu/fJK+PxBNJ8aCH+trdsKlUKG2hjjiZnGYoiIiIiIaFSPKdQxibVf\nSKLXqWdwZ2gEJYVaKOSJlQMGnQr3/a9NWFxfiL2Hu/B/fv8BfP6JBdG+I90IBEVc0VQT93obV4ZG\n5Q4eC43K+fwBdPbZML/KCHmCa8oEFkNERERERKO6THYAQHVp/PExo04Fm9MLUYy9j2a68fgCGLa5\n4ybJXUyXp8QP/nEjViwowTtHe/Efj70Hry8Q/v6bzV2QCcDWtfGLoXmVBpQXafH+yX74/AF09Nnh\nD4hoqMndfiGAxRARERERUZh0xlB1AufcGPPV8PmDcHn82V5WRg0Mh8IT4p0xFEmeWoHv/f06rL2k\nDB+c7MfOX78Lt8ePHpMDpzvNWLWwFEUGTdzrCIKADSsq4fL40dI6OO6w1dztFwJYDBERERERhUln\nDCVSDBl0MzNeu39YSpKL3/2KRKNS4DtfvhzrllXgSKsJ//arg3jpnXYAwLZLowcnXGyDlCp3rBdt\nXVJ4AjtDRERERERTotvkRIlRA41aEfe1xnwpXntm7RuSkuQSidWORqmQ41+/eBk2r6rC8XNDePat\nNqhVcqxfXpnwNRbXF6FAr8a7x3vResEMhVxAfUXs4IVMYzFERERERATA7fFj0OJCVQJdISC0ZwgA\nrDOsMzR2xlBqnSGJQi7DPZ+/FNtHu0GbVlYhL4EiUiKTCVi3rAJWhxdnu6yorzRAqchteZL4aomI\niIiIZrGewcST5IBxY3IztDOUyp6hi8llAr5+2xpsXlWFZQ3FSb9/44oqvHqwA0Du9wsB7AwRERER\nEQEAekeLoaqSBDtDo2NyM3HPUJ5aHi7m0iWTCbhsaQW0GmXS713RWAKdJtSfyfV+IYDFEBERERER\nAGDALKWsxT+IFAAM+aNjcjPo4FVRFNE/7ER5kQ6CIEz1cqBUyHDZsgoAwKLawpzfn2NyREREREQA\nTBYXAKC0ILHxMaNuNEBhBh28anN64fIE0gpPyLS/u2E51i+vRGMtx+SIiIiIiKaEabQzVFqYWGfI\nOAM7Q2NJcumFJ2RSgV6NTSurpuTeLIaIiIiIiBDqDKmUie+lyVMroJALsM2gzlB/GgeuzkYshoiI\niIiIAJjMLpQW5CW8l0YQBBh06hkVoJCpWO3ZgsUQEREREc15bq8fNqc34RE5iTFfNSPH5NgZCmEx\nRERERERz3mA4PCHJYkinhsvjh88fyMayMo5jchOxGCIiIiKiOc9kHi2GCpMrEmZavHbf8AiKDBqo\nlPKpXsq0wGKIiIiIiOY8U4qdISlsweqY/iEK/kAQg+aRaRWrPdVYDBERERHRnDeQZKy2xJgfOmto\nJoQomMwuBEWGJ4zHYoiIiIiI5ryxMblk9wyNdoZmQDEUPmOI+4XCWAwRERER0ZyXaoCCQeoMzYAx\nuXB4AjtDYSyGiIiIiGjOM5ldKNSroVQkFywwEztDTJIbw2KIiIiIiOa0YFCEyeJKekQOGNszNBMC\nFPqGpQNXWQxJWAwRERER0ZxmdXjgDwRRWpB8kSClyc2EAIX+ISdUChkK9ZqpXsq0wWKIiIiIiOa0\ncKx2Cp2hfK0KgjBDiqHhEZQXayGTCVO9lGmDxRARERERzWnhJLkkwxMAQC4ToNeqpv2YnMPlg33E\nh/IihieMx2KIiIiIiOa0VM8YkhjzVbA6pndnqJ+x2hGxGCIiIiKiOS08JpfCniEAMOjUcLi8CATF\nTC4ro/oYqx0RiyEiIiIimtNMaXaGDDoVRBGwx9k39B+PvYd//9VBiGLui6b+ISbJRcJiiIiIiIjm\nNJPFBZVSHk6GS5YUr21zRt831DfkxIFjvfjgZD/2HelJ6T6pGrK68M6x0D15xtBEiqleABERERHR\nVDKZXSgtyIMgpJaylsjBq+8c7Q3/+ncvncD6FRVJH/CarEBQxCvvnMfvXjoJl8ePtZeUoa7CkNV7\nzjQshoiIiIhoznJ7/bA5vWioNqZ8DUP+6FlDMUIU3jnWA5kAbFlbgz3NXXhxfzs+uXVByveMp73X\nhv968ghOd5ihy1Pirk+vxkcvr2Os9kVYDBERERHRnDVoST1WW2LUhcbkrFHG5AYtLpzuMGNlYwm+\ncuMKvH+8D398/TSuuqwW+drURvOi8fgC+OPrp/GXN88iEBTxkdXV+MqNy1Fo4EGrkbAYIiIiIqI5\nK3zGUGHqe2mkvUbR4rWl/TobV1bBoFPh1qsW4bcvnMCf/taKL9+wLOX7Xqyl1YSH/9yC3kEnSgvz\n8LWbV+HSJeUZu/5sxAAFIiIiIpqzTJnoDMUJUHjnaC8EAdiwohIAcP3mBpQV5uH5t8+hfzTyOl0H\njvXgO798B/1DTnxy6wI8/C/bWQglgMUQEREREc1Z6R64CoQOXQUi7xky2904cX4IS+YVoWh0VE2l\nlGPHdUvgDwTxxEsnU77veC/sOw8A+PGdH8HffWI58tQcAEsEiyEiIiIimrPGxuRSL4bCY3IROkMH\nj/VCFEMjcuNtWVODBTVG7D3chdYL5pTvDYSis4+1DWLp/CIsmV+U1rXmGhZDRERERDRnSQEKJcbU\niyGlQg6tRhFxz5AUqS2NyElkMiG8X+i3z59I6yDWvYe6IYrAFU21KV9jrmIxRERERERzlsnsQqFe\nDZUyvTN/DDrVpD1DNqcXR9sGsaiuAGURAhpWNpbi0iXlONY2iPdP9qd87z2HLkAhF7B5VVX8F9ME\nLIaIiIiIaE4KBkWYLK60RuQkRp0aNqd3Qofn3Q97EQyK2LgiepHypeuXQiYAj71wHIFAMOn7dvTa\ncL7HhqbF5dBnOKZ7LmAxRERERERzktXhgT8QRGlB6rHaEkO+Cv6AiBG3P/y1d46FRuQu3i80Xn2F\nAVddXo8L/Q68/l5n0vfdc6gLALCNI3IpYTFERERERBnVPzwCfyD1PTC5Eo7VzlBnCBgLUXC6fDhy\nZgANVUZUluhivvf2axdDrZJj16un4PL4Y752vGBQxJ5DXdBqFLhsKWO0U8FiiIiIiCgLnn/7HL7x\nn29j/9GetDbHzzQdvTb8w4/+irc+tE31UuIKJ8mlccaQ5OJ47fdO9MEfELFxZWWstwEAigwa3LS1\nERa7B39582zC9zx+fgiDFhc2raxKe8/TXMViiIiIiCjDHC4fnnj5BE62D+PHv3sfd/90Lw6dHpgT\nRdHew10IBkW09rqn5P7BoAh/gntvMnHGkMQgdYYcoc7QO0d7AMQekRvvU9saUahX4y97zoaLtHj2\njo7IXdFUk+xyaRSLISIiIqIMe+VAO1yeAG74SAO2rK7G2S4rvv/fB/CtX+zHqfbhqV5e1oiiiH1H\nQkVAn9mHEbcvp/dvaTXhiz94FT/+3fsJvT48JpeJPUPhs4a8cHn8OHRqALXletSW6xN6f55agS98\nbCm8vgAee/F43Nd7fQHsO9KNYqMGyxtK0lr7XMZiiIiIiCiDfP4Ann+7DXlqBW6/ZjH+Zcel+Nnd\nV+DSJeX4sG0I//Kfb2Pnr9/F+R7rVC8149q6regdckIQAFEETnekd5hookRRxFNvtOJ7j7wDi92D\n90/2J1SImTLYGQqPyTm9aD7VD68/mNCI3HjbL61FY20B3jrcjZPnYxfNH5zsh9Ptx9Y1NZDJhJTX\nPdexGCIiIiLKoL2HujBs8+Ca9fXQ5SkBAA3VRnz/79fj/rs2Y1lDMd470YevP7AHv3/l5BSvNrP2\nt4S6QlddVgcgtKcl20bcPvzod+/jsRdPoECvwbplFQgGRXx4Lv69TRYXVEp5uKuTDmP+2Jic9Puw\nKcEROYlMJuArNy4HAPz3s8cQDEYfq9zDEbmMYDFERERElCHBoIi/7GmDXCbgEx9ZMOn7S+cX40df\n24R//8oGFOSr8fSeNgRifOCdSURRxL6WbuSp5fj8dUsAIG53I12dfTbc/dO3cOBYL5YvKMZP796K\nT2xpAAAcbR2M+36T2YXSgjwIQvqdFamgGrS48MHJflSW6DCv0pD0dZbOLw6NVl6w4I0PLkR8jWPE\ni/dP9KO+Qo/5Vca01j3XsRgiIiIiypDmU/240G/HljXVUUevBEHA2sVlWLWoFF5fAP3DzhyvMjva\nuqzoGxrBZUsrUGTQoKxAiVMdZvj8yR8kmoh9Ld34/3/2FrpNDtx0RSPu+8eNKNRrsLi+CCqFDC2t\nppjvd3v9sDm9GRmRA8Y6Q++d6IfbG8DGFZUpF1lfvH4pVEo5Hn/pRMRxv/1He+APBHEFzxZKG4sh\nIiIiogz5y55QLPJNVzTGfW19Rahr0NFrz/g6ugbseOqN1qTOrEnXvpZuAMDmVdUAgPpSFby+ANq6\nLRm9TyAQxK+f+xD3P/4BBAH41y9chi/fsAxyeehjrUopx5L5RWjvtYWT3SIZtGQuVhsANCo5lAoZ\nvL4AgMSEeI71AAAgAElEQVRT5CIpK9Ti5m2NMNs9+PMbrZO+L43IbV3DEbl05bwYcjqduOuuu/CF\nL3wBn/nMZ7Bv375cL4GIiGja6TE50DWQ+Q/Fs5koivjj66fxwP80T4tRszOdZnzYNoS1l5QlNLpU\nXxFKGevsy9x5PIFAEH9+oxX/9JM9eOzFE/ifV09l7NqxhEbkepCnlqNpcRkAoK401Ck5cS6zo3KP\nPvshntnbhpqyfPzk61uxadXkomNlYykA4OjZ6KNy4TOGCtNPkgNCHT/j6KhcaWEeFtYWpHW9T21r\nRIlRg6f3tKFvaKx7OGAewYdtQ1i+oDhjXa25LOfF0NNPP42GhgY8/vjjeOihh/DDH/4w10sgIiKa\ndv7jsfew89fvTvUyZpRn32rD7185hTebu3Dww96pXs64rtDkvUKRSJ2h9t7MFEPtvTbc89Bb+N2L\nJ6DLU6LIoMEL+86jf3gkI9eP5WyXBf3DI1i3rDJ8+GddWagwOJHhEIWjZweh1Sjwk69viRpbvWph\nSfi10Zgy3BkCAMPoqNzGFVVp70PSqBT40vXL4A8E8Zvnx6K2w2cLreWIXCbkvBgqLi6GxRJql1qt\nVhQVFeV6CURERNOKKIroHXSib3gkZnoUjdl/tAe/ef44CvLVEATgqTdap/RA074hJw4c7UFDlRGr\nFpYm9J7SwjzkqRXo6EuvI+jzB/E/r57C/35wD852WbH90lr8/BvbcccNoQ/ST7yU/cQ66Wyh8V0a\no1aBssI8nDg/nLHnWhRFDFpGUFaohVajjPq6xpoCaDWKmPuGMnngqkTqDCUbqR3NljXVWDKvCAeO\n9eLY2UGIoog9h7qgkMsidsQoeTkvhq677jr09vbi6quvxo4dO/Cv//qvuV4CERHRtOJ0++H1BxEM\nirCPeKd6OdPeqfZhPLCrGRqVHP/+DxuwfnklWi9YYnYBsu2ZvW0IisBN2xoT7ggIgoD6Cj16TA74\n/IGU7tt6wYy7f7oXu187jYJ8Nb7/9+vxvz+7FnqtCltWV2NBjRF7D3fh7IXM7tsZbyxFToG1l5RN\n+N7ShmLYR7wZGwF1uv1weQJxCxi5XIblDSXoHXSGi56LjY3JZa4YuuEjDfjk1gVYXJ+Zv+wXBAF/\nL0VtP3MMbd1WdPbZcdnScuTnRS8GKXGKXN/w2WefRWVlJR599FGcOnUK3/3ud/Hkk0/GfE9zc3OO\nVkfE541yi88bAYDJOpYWtf/dwygvyM6HnNnwvA3Z/fj1awPwBYL49OYSmPvOYlmlHweOAb99phk7\ntifWlcmkEU8Arx7sg1ErhzbQh+bm/oTfq1V4EQiKeH3v+0n9cxdFEX9rsWH/STtEEWhq1OGja4wQ\nRrrQ3NwVft3mS5Ro6wJ+tvsgvri9JCMR0hfrHvJiwOzCynlaHDt6ZML38uUOAMDLew7j0oX5ad+r\n3xL6syL6HHGf50JNqNh57q8fYE2DbtL3z10IdY06z51Cb0dmfl9kAFZXA4cPH8rI9SSr5mvRct6G\nnY/uBwDUFXhnxZ/n6SDnxdDhw4exefNmAMDixYvR19cHURRj/uFsamrK1fJojmtububzRjnD540k\nR8+aAIQ+QFfVNmD1orLYb0jBbHjebE4v/vuhtzDiCeLOW1bh2g3zAABNAA627cOHbUMoKF+ABTXp\nbVxP1h9ePw1/oBef/ugSXH5ZYvuFJN0jbTjU9iG0hTVoWpt4MtiRMwPYd+IAyou0+P9uXR11NK8J\nwPGeg/jgZD+gq0XTkvKk1peIluePAxjAjdtXoGlZRfjrzc3NuG7rGrzw3ptwBPMz8vy9f6IPQD+W\nLqxDU9OimK8trrLh1UNvwubTRbz3I6/+FQV6YP3ll6a9rmybv9CN//Xjv2LY4YcuT4nbrt8ApUI+\n1cuaVlItDnM+JldfX4+WlhYAQHd3N7RabVb+loKIiGimGLaNxf+a7dGjgOcyry+A+37zLnoGnbhl\n+8JwISS5edtCAMBf3jyb03V5fAG8sO8cdHlKXL2uPun3S4dyJpsod7LdDAD4h0+uiLtH6UsfXwqZ\nAPz2heMIBDJ75o80IqfVKLDmksnrqC3XQ69V4cS5zIQoJBOHXV+hhzFfhZbWwUn7yYJBESaLC2Uz\nJI2tyKDBp68MFX+bV1WxEMqgnBdDt912G7q7u7Fjxw7cc889+MEPfpDrJRAREU0rFrs7/GuzjcXQ\nxYJBET/9w2GcbB/GltXV2HHdkkmvaVpchnmVBuxr6Z4QQ5xtb3xwAVaHFx/bOA956uQHblI9a+hM\nZ6gYWlgXvwtWX2nAlZfVobPPjr99cCHpNcZbh8nswrplFRE/oAuCgKXzizBgdoX36KQjnACXQBy2\nIAhY2ViKYZsb3SbHhO9ZHR74A0GUFmQmVjsXPrm1EV+9eSU+f+3k559Sl/NiSKvV4qc//SmeeOIJ\n7N69G+vWrcv1EoiIiKaViZ0hd4xXzk2Pv3QCbx/pxtL5Rfj6Z9ZAJps8USIIAm7evhBBEXh6T266\nQ4GgiGf2nIVCLsP1mxtSuoYxX42CfDU6kugMiaKIM51mlBXmoVCvSeg9t1+7GCqlHLteOQl3Bg9i\n3dcSSpHbvLo66muWzi8GkJmI7XDoQYJx2FLEdkvrxHCNsaJqZnSGAECpkOFjG+ejQK+e6qXMKjkv\nhoiIiGgis22sALI42Bka7+3D3XjqzbOoLtXh23esC59hE8lHVlWhrEiLv77XCUsC44Zmuxv3P/4+\nDhxL7Yyidz/sRc+gE9uaalBkSKwoiaSuQo/+4RG4EixS+odHYHN6sbCuMOF7FBvzcNPWBRi2efDs\nW22pLnUC6aBVnUaBNYuij+otawglqx3PRDFkcUEQgCJjYr/fY4evTozYTraootmLxRAREdEUG98N\nsnBMboK/vt8JAPjOl9fBMHqGSzRyuQw3bV0Arz+IF/adi/las82Nb/9iP/a19OC/njyScCEiCQZF\n7H7tNAQBuOmKxqTee7Fk9w1JI3KXJFEMAcCntjXCmK/CU2+2ZqQDebrTjEGLC+uWV8bcw9JQXQCV\nUo6T54fTvqfJ4kKRQQOFPLGPsBXFWpQV5uHY2cEJZx1l44whmplYDBERESXI4fJl5WDPYZsH+XlK\n6PKUHJMbx+cP4MNzQ6ir0KOmTJ/Qe666vA4GnQov7j8ftcAZtrnxrV/sx4V+B2rL9bA5vXj+7djF\n08X2H+1Be68NV6ytQW15YmuLpk7aN5Tg4atnOkNnBi1KshjSapT47NWL4fIE8IfXTie3yAikg1Y3\nxzn8U6mQYXF9ITr6bHCkcY5WIChi2OpCSRLdHGnfkH3Eh/M91vDXw2NyM2jPEGUHiyEiIqIEnO+x\n4nPffQn7j/Zk/NpmmxuFBg0K9WqmyY1zqt0Mry+A1XHS0sbTqBS4fnMDHC4fXj3YMen7Q1YXvvXz\nfegacOCmKxrxf//pI9BrVfjLnrNwuHwRrjhZIBDErldOQSYT8NmrFye8tmjqK0PFVKL7hs50miET\ngAXVxqTvdc36elSX6vDKwY60DkINBkXsPxoakUskCn7p/GKIInCyPfXukMXuhj8gJj3aFmnfkImd\nIRrFYoiIiCgBbV1WiCJwrtsa/8VJ8PkDcLh8KDKoUaBXwz7ihT/D8ccz1ZHW0D6PVTH2o0Ty8U3z\noVbJ8ezes/D5x34vQ4XQfnSbnLh5WyPuuH4ptBolbtneCKfLh2f2Jha8sPdwF7pNDnz08jpUlkw+\nzDNZdaOdpc4EEuX8gSDauq2oqzBAk0J6nUIuwxc/vhTBoIjHXzqZ9PslZ0ZH5NavqIRSEf/j5NL5\no/uG0ojYlmK1k+kMAcCKxlAxNH7fkMnigkohizt6SbMfiyEiIqIESMEGNmfqYz6RSFHahXoNCvUa\niGIo9peAljMmyGQCljcUJ/U+g06Fa9bVY9Dqxt5DXQBCH6Tv/fl+9Aw68ekrF+KLH18aPufwY5tC\nCV3PvdUW9/fe5w/if149DYVchluvin3oZ6K0GiXKirRoT6Az1NFrg9cXwCX1yY3Ijbd+eSWWzCvC\ngWO9GBgeSekab7d0AwA2r4qeIjfe4nlFkMkEnEhj31CqCXDFxjzUlufj+LmhcHFsMrtQWpjHsy6J\nxRAREVEipHSyTBdDw6N7hKQxOYAHrwKh/VmtF8y4pK4QWo0y6fffuHUB5DIBf9nTioHhEXzr5/vR\nO+jErVctwo7rlkz4EKxRKXDrlYvg8gTwVJxDW//6fif6h0dw7YZ6lCVw1k2i6iv0sNg9cYuxMxdC\n+4UW1qZeDAmCgMuWlgMA2nuTO+wVCKXIvdPSA12eMu6Br5I8tQIN1Ua0XjDD4wskfU8gvQS4lY2l\ncHsDaL1ghtvrh83pTeisIpr9WAwRERElIFvF0FhnSB0+PySRWOjZ7tjZQQRFYHWSI3KSskIttqyp\nxoV+B/7pgT3oHXLito8uwuevXRyxG3DthnqUFOThxX3nMGyLHGLh9QXwx9dPQ6WU49NXZqYrJJEO\nX+2ME6LQOpoktyiBw1ZjkUIfOvuT3zc0bHNj0OrGysaShEbkJEvnF8EfEMM/Q7IG0wg9GL9vaOw6\n3C9ELIaIiIgSYnGEPiBnvBia0BkKnZ1ijvJhfC5pkfYLJRGecLGbty0EADhdPnzu6kvw+WuXRB2L\nUirk+MxHF8HrD+LJv56J+JpXDrRjyOrG9Zvmp3WuUCT1FYmFKJzpNEOtkof3GaWqbvR+icZ5j9cx\nurdJigRP1LLw4aupjcqlc1Dq8gUlEITQvqFwh4mdIQKLISIiooRI3Rp7psfkRgsfKUAB4MGrAHDk\njAl5anlae2PqKw346s0r8U+3rsZnr4mf+nblZXWoKNbilYPtk/bSuD1+PPm3VuSpFbh5+8KU1xRr\nrUDssbURtw+d/XY01hRAnuA5O9GUF+mgUshS6gxJBZvUzUrU0tFiKNXDV9MJPdBrVVhQbcSpdjO6\nBhwA2BmiEBZDRERECQgHKIx4JxzemPZ17eMDFLhnCAjtDek2ObCsoSThwzWj+djG+fjouvqEXquQ\ny/DZqxfDHxDxx4u6Qy/sPw+Lw4MbtyzISgJZTVk+ZDIh5piclGiY7PlCkchlAmrK9LjQ70j6eZaK\nIam7lKgCvRrVpTqcah9GIIU/Q4Pm0BlDqYYerGwshT8QxN7DoVANxmoTwGKIiIgorkAgGB6PCwZF\njLgTO48mEVJnqNCgQaGBY3LA2IhcqvuF0rF1bQ1qyvLx1/c70TMY6iA4XT489UYr8vOUuHHrgqzc\nV6mQo7pUh44+W9SDfc9kaL+QpK5CD68vgAFzcolyHX12KOQyVKUQK750fjFG3H50JBnc4PUFYHF4\nko7VHk8auTzdEfp9ZDFEAIshIiKiuGxOL8Z/Ps3kviGzzQ2VQgadRgGjTgVBYGdoKoshuUzA7dcu\nRjAoYvdrpwEAz77VBofLh09ta0R+XvLJdomqqzBgxO3HoCVyMXzmglQMpd8ZAsaFKMQJbRgvGBTR\n2WdHbXl+SqN64VG5JM8bGrSmvl9o7N5FUMjHukolRhZDxGKIiIgorov38GS0GLJ7UGDQQBAEyOUy\nGHVqWOxztzMkiiKOtJpQqFenHRKQqo0rqjC/yoC9h7pw/NwQntnbBmO+CtdvbsjqfaVAgmghCmc6\nzCjQqzO21yUcopDEvqH+4RF4fYGk9wtJljVIIQpJFkMpHrg6nkatwCX1ocNfC/RqqJTylK9FsweL\nISIiojikTo1WowCQuWIoGBRhsXtQNLpXCAh9SJvL0dqdfXZY7B6sWlQ6ZQdiymQCPn/tEogi8G+P\nHoDL48ct2xchT63I6n3DiXIRRsiGrC4MWt1YVFuYsd+XuvLkE+VS3S8kqSjWosigxonzQ1HHASMZ\nO2MovQS4lY0lo9dhV4hCWAwRERHFIRUn0liRzZmZYsU+4kUgKIb3CgGhYsjp9qd8MOVMd0QakUsj\nUjsTLltajkV1BXB7AygyaHDdxnlZv6fUbYnUGWodPWw1U/uFAKC8OJQodyGJzpA0UlefZKy2RBAE\nLJlfjGGbB31Die9VMmXobCBp3xD3C5GExRAREVEcUjFUFy6GMhOgEA5PGNcZKpzjB68eOZP++UKZ\nIAgCvvTxZVDIBXzhY0ugzsFIVXmxDiqlHB0R9vCMhSdkZr8QMC5RbiDxRLlUY7XHk84bOtme+HlD\ng2mcMTTe4nlFuGX7QnxyS2Na16HZI7v9XiIiollA2jNUN/oBMFOdIbMtdJ3xB3iGD161u1FeNLcO\nhfQHgviwbRA1Zflp7Q3JlBWNJfjTf1wPpSI3f3cslwmoK89HR58dgaAIuWxsHE4qhhbWZq4zBIS6\nned6rBgwj6CiOH46XGefHRqVPK0OTWNN6Gc432MFUJvQe6QxuXSfC7lMwBc/vjSta9Dsws4QERFR\nHFKggbRPIlN7hsz2sVhtSaFh9Kwh29zrDJ3uMMPtDUz5iNx4uSqEJHUVBvj8QfSOxnoDob1lrRcs\nqC7VIV+b2TOOkglR8AeC6Bqwo65CD5ks9X1L9ZWhe4aKocSYLC7k5ymzvm+L5h4WQ0RERHFII2v1\nGS6GIo3JFeSPjsk55l4xJEVqr5qCSO3pYmzf0Fhx0m1yYMTtz+iInCSZeO0ekwP+gJjWiBwAaDVK\nVBRrcb4n+plK44miiEHLCPf5UFawGCIiIorD4vAgTy1HoV4DmUzIYGcoVPAURhiTs8zBg1ePnDFB\nJgArFpRM9VKmjNQ16RyXKNea4fOFJtyvIvFEOalAq0uzGAKA+VVG2JzehM7Ucrr9cHkC02J0kmYf\nFkNERERxWOweFOSHCiGDVpW5Ymi04Bm/Z6hAGpObYwEKI24fTneasbCuELosHmw63Y2dNTTWqTnd\nkb1iqLxYB2WCiXJj4Qnpn/8k/ZyJjMqZzKHUOcZhUzawGCIiIoohGBRhdXpRMDrKptdlsBiyeyAI\ngFE3tg9kfIDCXPLhuSEEg+K02i80FYoMGujylGgf1xk6c8EChVyG+VXpd2QuFkqUy08oUS7dWO3x\npJ+lvSd+R8qUgQNXiaJhMURERBSDfcSLYFAMF0MGnQoOV+h8oHQN29ww5qshl4/95zg/TwmFXJhz\nnaGWM9wvBIQivesr9OgddMDrC8DrC6C9x4qGagOUiuzEe9eVG+DxBjBgjn3uT0evDXqtcsIet1TN\nqzQCAM4nUAyNxWrPrXRFyg0WQ0RERDFI4QlSsIFBp4IoAo6R9LtDFrsbRXrNhK/JZAKM+eo5d87Q\nkVYT1Co5FtdnfhRspqmvMCAoAl0DDpzrscIfELGoNnu/L4kkynl8AfQOOVFXYYAgpJ4kJykv0iJP\nLUd7byJjcpk5cJUoEhZDREREMYSLoXGdISD9RDmXJ7QpXNojNF6hXg2z3ZNQ0tZsMGxzo7PPjmUN\nxVnrfswk9eF9Q7ax84WysF9Ikkii3IV+O0QxM/uFgFDRP6/SiK4BB3z+QMzXhjtDLIYoC1gMERER\nxWB2ZKcYCocnXNQZCt1LA68vAJfHn9Y9ZgopUnuu7xeSSAVHR68NrZ0WAMAlWeyYSfeLFaIgpc1l\nYr+QZF6lAYGgGDfW22RxQSYARcbJf1aI0sViiIiIKIbJY3Kh/592MRSO1Y7cGRr/mtnuyOh+odVz\nfL+QpG7cWUNnOs3Q5SlRWazL2v2kRLlY8drh8IQMxGpLwiEKvbH3DZksLhQaNFDI+bGVMo9PFRER\nUQyW0VS3THeGxg5cnfy33dK5Q+Y5cNaQKIpoaTWhIF+d0Q/aM5lBp0KRQY3THcPoGXRiYW0BZLL0\n9+lEk0ii3NgZQ5kZkwNCZw0BsUMUAkERQxYXR+Qoa1gMERERxWCJOiaXXtcm0hlDEqkLJd17Nusa\ncGDI6sbKhSVZ/cA/09RXGGAf8QHIzvlCF4uXKNfRZ0ORQQO9VhXx+yndc7SwinXWkMXuRiAoMlab\nsobFEBERUQyR0uSALI/JSQev2mZ/MbT3cBcAYA1H5CYYvzfnkhwUQ7UV+QAiJ8qNuH0wmV0ZC0+Q\naDWh8b/zPbaoYSEmxmpTlrEYIiIiisHi8ECllCNPrQCQozG5OXLwqsvjx4v7zsOgU2Hz6uqpXs60\nMr7wWFhbkPX71ZWHiq9IYQaZPGz1YvOqDLCPeMN/Hi4mxWqXFDA8gbKDxRAREVEMFrsHBXp1+GyV\nTKfJxQpQmO1nDb16sAMOlw/Xb26ARqWY6uVMK1KIQmlhXngPWXbvFz1RrkNKkstwZwgA5o8WWNH2\nDY3FarMzRNnBYoiIiCgKURRhdXhQmD9WsOSpFVDIZbBnYExOq1FELAIK5kCanM8fxLN7z0KjkuPj\nm+ZP9XKmnboKPQr0aly6pDwn96uIkSg3Fp6Qjc5QKEQhWqLc2Jgc9wxRdvCvYYiIiKJwuHzwB8Rw\ncQIAgiDAoFNlYM+QO9wBulieWgGVUh5OspuN9h7qwqDVjU9saQh322iMRqXAo9+6CsocxUlfnCg3\nPsyiY7RQkQ5nzSQpXjtaiAIPXKVsY2eIiIgoinB4wkVFS6gYSr1r4w8EYXV4o44/CYKAQr161naG\ngkERT73ZCrlMwCe3NE71cqYtjUoBeQ7P1qkt10dMlOvss6O8SBveN5dJZYWh60YbkzOZR6BSyFgw\nU9awGCIiIori4iQ5iUGngtPthz8QTOm61tHI7KII4QmSQr0aFrsn6rkvM9l7J/rQNeDA1rU1HH+a\nRqR9Q+MT5Sx2DywOT9bOgJLJBMyrNKDb5IDXF5j0/UGLGyUFeeE9e0SZxmKIiIgoilidIQAp7xuS\nkrMKIoQnSAoNGgSCIuwj6Y3jTTeiKOLPb7QCAG7exq7QdFI3OgZ3YVyiXGf/aHhCZeZH5CTzqgwI\nBsVJsd4eXwAWh4cFM2UViyEiIqIozI5Q0WKM0BkCUk+Uk84PitUZCh+8OstG5Y6fG8LpDjPWLavI\nyoZ8Sp30z2N8UdLRm73wBMl8KUTholG5IYsUq81iiLKHxRAREVEU0TtDof+dcjFkl2K1Y4/JjV/D\nbCF1hW7ZvnCKV0IXqyjSTkqUy2astiQcr907MUTBxFhtygEWQ0RERFHE2jMEpF4MDY92hqKlyQFA\ngWHmHLw6ZHXB7fXHfd35HiuaTw1gWUMxFs8rysHKKBlyuQzVpWOJckAoPEE2mjSXLfWVBgjC5M6Q\ndOAqx+QomxitTUREFIXFEblo0YeLodS6NtKBq0UJdIama6Jcj8mBfS092N/Sg3M9VhTo1fj6bWti\nnovz1BtnAbArNJ3VVejR3mvDgHkE5UVadPbZUF2qg1Ihz9o989QKVBTrcL7HBlEUw2EJg1aOyVH2\nsRgiIiKKwmL3QCGXQZennPD1tPcMJTEmN52KoZ5BB/a39GDfkVABBAAKuYCVjSU4cX4Y//6rg7hu\nwzx8+YZl0FwUw9w35MTbR7owr9KApsVlU7F8SoAUotDZb4dCLoPT7cfqS7K/t2tepQEHjvVi2OZG\nsTFU/IQ7QyyGKItYDBEREUVhcXhQkK+aFOubiQAFhVyAXquM+poC/fQZkztwrBd/eP00znWPFUCX\nLinHppVVWL+8AvlaFc73WPGTXc14+UA7jp414e7PNWFRXWH4Gs/sbUNQDCXIMSZ5+pLitS/02SEf\nPXg1W7Ha482vMuLAsV6c77GFiyEeuEq5wGKIiIgoAlEUYbF7Im4cT3vPkN2NAr0mZlFQMI0CFJ54\n+SS6B+xoWlyGzauqwwXQePOrjHjgn7fiiZdP4pm9bfiX/3wbn736Enx6+0LYR3x4/d0OlBVp8ZHV\n1VP0U1AixifKSc9nNsMTJPOkEIUea3jU0mQZgV6rnNRlJMokPl1EREQRjLj98PmD4Q7NeOkUQ6Io\nwmzzoKE69t+2q5Vy6DSKhIuhrgE7yot0UCoym40kiiIGLSOYV2nEv31lQ8zXqpRy/N0nluPSJeX4\n6e5D2PXKKXxwsh915Xp4/UF8ausCyOXMbprOKoq0UMgnJsrVV+aiMxS6hxSiEHruXKgo1mX93jS3\n8d9IREREEUjhCRcnyQGARqWASilPKUDB4fLBHwiiMMYZQ5ICvSahMbkznWZ87f+8gRf2nUt6PfE4\nXT64PIGkNrGvWliK/7xnG7asqcbpDjNef68TBp0KV15el/H1UWbJ5TLUlIUS5dp7bVAqZDkpSMqL\ntMhTK8Lx2tJzx1htyjYWQ0RERBFEO2NIYtCpUuoMDdvihydICg1q2Jxe+APBmK97/0Q/RBE422VJ\nej3xhM96STLeOF+rwr98/lLcc3sTSgvzsOO6JdCoOJAyE9SV6+HxBnC+x4racn1471A2CYKAeZUG\ndA844PUFws9dSUH8PydE6eC/lYiIiCJIpBjqMTmSv+7oGUNFMc4YkhTkqyGKgNXhCW8qj6Sl1QQg\nlNiWaWMfSlPbxL51bQ22rq3J5JIoy6QQBVHMzX4hyfwqA062D6Ozz47h0Y5oaSE7Q5Rd7AwRERFF\nYBn9MBZpTA4IFUNubwAeXyCp60of8goS6gxpRtcSfRzP5fHjTKcZANA7OJLUWhLBeOO5p25cAZSL\nJDnJ/CojgFCIAp87yhUWQ0RERBGYHfE7QwBgT3JULnzgagKdoUTOGjp+bgiBoBhay4gXTpcvqfXE\nM5hmZ4hmntrysWKoLoedoXlSiEKvjc8d5QyLISIioggSGZMDQgVIMqTCJqE9Q+F47eghCtKIXE1Z\nPgCgN8OjcuG/oU9yzxDNXJXFOihGU/9y2RmqrzBAEIDzPTY+d5QzLIaIiIgiCBdDUcfkQl+3OZIr\nhsIBCgmmyQGxO0NHWwehVMiw/dJaAJnfNzRodUEmAMUJFG80O8jlMiyoMaJAr85pMZKnVqCiWIf2\nXitMlhE+d5QTDFAgIiKKwOLwQCYToL/ocFFJqmcNxes4jVcQZ0zO6vDgXI8VKxtLwn+D3zuY6c7Q\nCIoMGp4PNMfc+8XL4PEFYh4MnA3zqwx452gvznVb+dxRTvAJIyIiisDq8KAgXwVZlFjhsWIoubOG\nhsPzk3QAACAASURBVG1uGHSqhA5HHRuTi3yPY22DAICVC0tQURxK3eobylyIQiAoYtDqZqLXHFRs\nzENVSX7O7yuFKLi9yZ1tRZSqKSmGnnvuOdx444341Kc+hb17907FEoiIiGKy2D0oyI8+opNqZ8hs\nc4eLnHiM+WoIAqIevHq0NVQMrVpYivLRgzEzOSZnsbsRDIr8UEo5M69ybI8Si3DKhZwXQ2azGQ8/\n/DB2796NRx55BH/7299yvQQiIqKY3B4/3N5AzFG2VIohjy8Ap9ufUHgCACjkMhh0KphtkTtDLa0m\n5KkVWFhTALVSjmKjJqMBCow3plyTOkMAk+QoN3JeDB04cAAbN26EVqtFaWkpfvCDH+R6CURERDFZ\n4sRqA6kVQ+FY7SQ2hRfqNRHT5ExmF3oGnVi+oDi8r6KiWIdBiws+f3JnH0WT7oGrRMkqK8yDVhPa\n0s4inHIh58VQd3c33G43vvrVr+L222/HgQMHcr0EIiKimOIlyQGpFkOjsdoJjslJa3C6/fBedLir\nFKm9amFp+GuVxTqIYub2DTHemHJNEITwqByfO8qFnKfJiaIIi8WChx9+GN3d3fjCF76AN998M+Z7\nmpubc7Q6Ij5vlFt83qankxdCRYDDaor5z0ilENA3aEn4n+OJBK87XtAXGnt7+8AHKNCN/Wf7zXeH\nAQBKnwnNzZbQaz02AMC+d1uwqHryB8lkn7fjZ0LXHextR7OnJ6n3EgGp/TvOqA79BYNloAPNzXzu\nKLtyXgyVlJRgzZo1kMlkqK2thU6nw/DwMIqKiqK+p6mpKYcrpLmsubmZzxvlDJ+36WvA2w5gCMuX\nLEBTU23U1xW+Mgx/IJjwP8c+1zkAQ1i1dCGa1lQn9J6WnuM42n4WNfULcUl96L+VoijioRdeRUG+\nGtdtXxeOP3bKuvDG0WboCivR1LRgwnVSed5eOfouAAc+smEtjDG6ZESRpPrvuCXLfLixx4ZlDcVZ\nWBXNVqn+5WLOx+Q2bdqEgwcPQhRFmM1mjIyMxCyEiIiIci2RMTkgNCpnc3ohimJC1x2WrmtIvLAo\njHDWUNeAA8M2D1Y2lkw4B6YinCiXoTE5iwsqpTw8EkiUC1qNkoUQ5UzOO0Pl5eW45pprcOuttwIA\nvvvd7+Z6CURERDFJgQXxDkY16FTw+oPweAPQqOP/JzW1AIXJxdDR0f1CKxeWTHhtZUmoGMrUwauD\nFhdKCzQ5P3iTiChXcl4MAcBtt92G2267bSpuTUREFFciaXLAxBCFhIohewoBCtLBq7axRLmWs2Pn\nC42n16qQn6fMyFlDHl8AVocX8yuN8V9MRDRDTcmhq0RERNOZxe6BTAAMunjFUOj7iSbKDdvcUKvk\nyEugcJIU6kNdJPNogRYIijh6dhBlRdrwWNx4FSU69A+PIBhMbHQvmiELk+SIaPZjMURERHQRi90D\ng04NuSz2eFiy8doWuxtF+uTGzsKdodGu0rluC5wuH1Y1lkR8fWWxDj5/EEPWyWcTJUOK1eYZQ0Q0\nm7EYIiIiuojF4Yk7IgeML4Y8cV4Z6uhY7B4UJhGeAIRG3+QyIbzfqKU18oicpKJYCwBpj8qZLKEQ\nBh58SUSzGYshIiKicby+AEbc/rhJckBynSGbw4OgODb2liiZTECBXh3ebxQOT4jRGQKA3rSLoVDx\nxc4QEc1mLIaIiIjGCcdqJ9UZil8MhcMTkuwMSWuxODzw+QM4fn4YdRV6FEZJpKsokeK10yyGzKOd\nIe4ZIqJZjMUQERHROIkmyQHJFUPDKcRqSwr1Gni8ARw+Y4LXF4g6IgeM6wylGa89aOGeISKa/VgM\nERERjZPogatAcmly0p6fZGK1JdJ79jZ3AUDU8AQgVGwpFbIMjMm5oNeqoFFNySkcREQ5wWKIiIho\nHHMSY3J6rRJAsmNyyXeGpLUcPN4HmQAsXxC9GJLJBFQUa9E36IQophavLYoiTBYXR+SIaNZjMURE\nRDNGMCjCPpJYjHWqLI5QByeRYkgulyE/T5lQmpw5zTE5IBTu0FhbAF2eMubrK4p1cLr9sI/4kr4X\nADhcPni8ASbJEdGsx2KIiIhmjGf2nsWO77+C9473Ze0eyYzJAaF9Q4l0hgZGz+1JNk0OmFiYxdov\nJJH2DaUaoiCdMcRiiIhmOxZDREQ0Yxw+bUIgKOL/7voAHb22rNwjmTQ5YKwYijWSFgiKOH5+COVF\n2oSvO974fUarGuMXQxVphigwPIGI5goWQ0RENCMEgyJaL5iRp5bD5QngB795F1ZH/PG0ZElpcsaE\nO0NqBIIiRtz+qK85322F0+WLejZQPNI+I6VChsXzi+K+vjLNeG3GahPRXMFiiIiIZoTeISecbj/W\nLavE565ZjP/H3n2Ht3Wed+P/YoMDAEFwb0oiJWpQkrU95L0SK3ES13aGM/o2btokdppf2/eXNnGT\ndCR12tdp3tZx0zhpVrNtx3Yc2/KQZMualCxqc29wgMQiNnDO+wd4QFLEBjj1/VxXrksmDs55RDEi\nb933831GJ9z4xo9OIBAUsvocm9MHXa4aSkVy3yKTiddu7Zg6KDWJEbdopIS4TauLoFEpEl4vFUPp\nJsqNsTNERFcJFkNERLQstPVZAQANNQV48PZGXLe5Aue7xvHUM61pp6ZFY3P6Uhplmy6GYnepznRY\nACDtzlCORolvfvZ6PPLAlqSuLzHmQi4DhsfdaT1PKoaKC3LTej8R0XLBYoiIiJYFqRhqrDFCJpPh\nCw9uxeoqA1491osX3u7KyjMCQQGTnkBKZwEl6gwFggIudI2julSXVpKcpLHGCJMhuU6NSilHUUFO\n2nuGxqweyOUyFOpT399ERLScsBgiIqJZxu0eHL8wf2lt6Wrvt0Ehl2FVhQEAoFUr8eVP7YJRp8HT\nvzuHU5dHM36GtAcp2SQ5ANAlKIba+63w+kNxD0qdD2WmPEw4vPAFQim/12L3oFCvhSLJUUEiouUq\n4d9yAwMDeOSRR/DQQw8BAH71q1+hp6dnvtdFRESLoHPAhi88cRB///Qx9A3PT1pbOgJBAV2DdtRV\n6KGesWemqCAHf/upnVAo5Hj8xycwMOrM6DmpJskBiTtDZ9qnRuQaFrYYSjdEISSIGLd7GatNRFeF\nhMXQV77yFbzvfe+DIIQ3qNbX1+MrX/nKvC+MiIgW1rtto/jSk4cjBcHFHusir2ha77ADgaCAhmrj\nnNfW1hbi8/dvgcsbxN8/fQyTGRzKKiXJZbMYau0Yg0wGbFy98J0hABhOcVTO6vBCEEQWQ0R0VUhY\nDAWDQdx2222Qy8OX7tixY94XRUREC+vgqQF87ftHEQgKeOD2RgDh8a6lol3aL1RdEPX1m7dV475b\nGjBkceFbP21JO1DB5vQCSG1MLl4x5PUHcanHilWVBuhy1WmtKV3SwavmFEMUIgeuMlabiK4CSQ0D\nOxzToxLt7e3w+bJ/rgMRES2O5w524l9+1gK1SoGvP7wHD96+FmqVIhJYkE32SR9OXRqFyxNI6X1t\nfTYA4RCBWB66uwnNa4pw6vIo+kbSG5ezpjUmF742WprcpZ4JBEMCmpM4KDXbykzhJDizZTKl943Z\nps4YYmeIiK4CykQXfPazn8X999+PsbEx7Nu3D1arFd/61rcWYm1ERDSPBEHEj35/Ac8c6EChXoOv\nfnoP6qfCCVZXGnC5dwJeXxBaTcJvFTG5vQFc6J7AmfYxnGkfQ/dQ+B/X7tpTh8/etznp+7T3W6FV\nK1BVqot5jVwuw+27atHaYcHRc2bUlulTXm86Y3J5OSrIZdE7Q60ZRmpnYnrPUGqdIQvPGCKiq0jC\n73C7d+/Gc889h7a2NqjVatTX10OjYdQmEdFyFggK+M6vTuNAywAqi/Px9Yf3oKRw+kyZxhojLvZM\noHPQjg2rTCndu3vIjsNnhtDaYUFbnxUhITyyplLK0bymCJ2Ddhw7Z8affbAZcrks4f3c3gD6RpxY\nX2+CIsH125tKoZDLcPTcMB64bW1K6wZmBCjkJx+BrZDLkJ+rhjPKXqXWdgsUclnKn8NsyNWqoM9T\np3zw6vSYHM8YIqKVL2Ex9O1vfxsymSwyfy2Thb8RPfroo/O7MiIimhdeXxD/9N/HcbptDGtrjXjs\nf+2O7HuRrJ0aR2vrs6b0g7w/EML//ve34PGFIJcBDdVGNDcUYfOaYqyrL4RGpcC3f3EKr5/oR+eg\nLWogwpU6B+0QxfgjcpL8HBU2rSnCu21jGLN6Ut73Mp0ml9r+Hn2eek5nyOUJoL3firW1hcjJoLuW\nifKiPHT02xAKCUm/Z4ydISK6iiTcM6RQKKBQKKBUKiEIAo4ePQqnM7PoUiIiWjwvHu7G6bYx7Fhf\nin/4zLVzCiEAaKgJBxVcTnHf0KXeCXh8Idy0rQr/8/fvwb88uhcff896bG4shmYqEntHUxkA4MSF\nkaTu2T61X6ghRnjClXZvLAcAHDtvTmntQHhMLi9HBZVSkfjiGfR5ajhdfgjCdHDD+a5xCOLCR2rP\nVG7KQ0gQIwVOMsZsHmjUCuhyVfO4MiKipSHhP1V9/vOfn/XfoVAIn/vc5+ZtQURENL8OnxmEQi7D\nFz98DbTq6N8GSgtzYchXR1LckiXtkbm+uQJ5OdF/mN66thgKuQwnLo7gI3euS3jPtqlUu2Q6QwCw\ne2MZnnqmFUfPmXHP9auSXHmYzelLKUlOos9TQxABlzcQSY070zEGANi8COEJkki8dgqjcmNWD4oM\nOZFJECKilSzlvn0gEEBfX998rCW2urq5H4t18Gu0a3k9r0/y+o379gHqKOMxy2T9vH55Xb8YX28j\nuYXouPvvsLWxGPlXRj3PuF4GoOHah3GyfAOsTi+Muih7aKLc/+yNj0BevBobop2pM3V9LoANN3wW\nrUIjJtY1o/BSa9z1t9/1GAwKNUquWR/+eILfrwlA481/gbOXQ5hsaEJ++8W410tCMjmcH/hXVMcK\naYjz+Z9OlPNHiqHW59+CWleMtXfsBoTgrOtTvX+615cXTSXKjbtxy4cSf715/UE43X6srjIsuf+/\n8Prld/1Gv3/u19wyWj+vX2bX//a30V9LIOGY3I033jjrf7t378bOnTvTehgRES2uI5XNAIDrNlck\nvLZxohfA9JhaIl6FCm2FtVhVVYD8GF0hyQ7zeQBAS2lT3OtsmnyM5pnQYO1DKn2K3UNnIcgVOFG2\nIen3DOeZIMrkMKaQJCeJnDU0Gd43ZJ/0oaegEk3j3VDPLIQWWKoHr0pJcozVJqKrhUxMcDLdwMBA\nJEBBLpcjPz8fen3qcaXpamlpwbZt2xbseXR149cbLaTF+Hr76//7Fi73TuDHX70LhgTjYKcujeLv\n/usIHritER+7O37RAgCnL4/ise8dwQdvWoNP7YtfhAyOTeIz33wdezaV428+Gfsf2E5cGMbXnz6G\nj9yxFh9OYqRO0j/ixJ8//gaubS7Hlz6R3D/g/ddzZ/H8W1344keuwc3bqpN+FgA8e6ADP3jhPL78\nqZ3YtbEcb58ZxD//+CQeursJ99/WmNK9ssnq8OLjX3sFezaV485NioRfb++2jeIr/3kk5c83UTT8\nnkoLKd2vt5hjcr/+9a/jzgvfd999KT+MiIgWz7jdg4s9E9i0uihhIQSkHqIg7RfalMSZOpXF+ago\nysO7baMIBEMxAwukw1YbktwvJKkqyUdlcR5aLo3CFwhFwhtimfQEsP94L0wGLW7YUpnSs4AZnaGp\nRLnW9qnzhRYxPAEIn5ekVSum9gwl/ofM6VhtdoaI6OoQsxhqaWmJWgyJogiZTMZiiIhomTlyNpyu\ndm1zeVLX63LVKC/KQ3u/DYIgJjwT6GyHBXK5DOvrC5O6//b1pXj+UBfOdY5j69qSqNe0T4UnJJsk\nJ5HJZNi9sRy/fbMDZ9rGsHNDWdzrXz3aA48vhAduWwulIuEE+RxXFkNn2seQo1GioSq1dWebTCZD\nmSkPw+MuiGLsA2sljNUmoqtNzGLom9/8Zsw3/ehHP5qXxRAR0fx5pzVcDO3ZlFwxBITPGzpwagDm\ncRcqi/NjXuf2BtA+YENDdQFytclFMu9sKsPzh7pw8uJI1GJIFEW09dmmku1S38eze1O4GDp6zhy3\nGAqGBLzwVhe0agXu3FOX8nOA2cXQmNWDIYsLO9aXQpFGYZVtZaZc9JgdcPkSnzUU2TPEA1eJ6CqR\nME3uwoULeOqpp2Cz2SCKIgKBAMxmMz7xiU8sxPqIiCgLbE4fzndZ0FRXCJMh+X/1b6gpwIFTA7jc\na41bDF3onoAgiGhOYkROsn6VCTkaJY5fGMafvH/jnGmEkQk3nG4/tjSmF03dWG2EUafBsfPDCAki\nFDE6W2+/OwiL3Yt9N6xKGPwQy8w0ubOd4Ujt5kWM1J5JClGwOhMHOUhjciZDlPRAIqIVKOE/WX3t\na1/DHXfcAbvdjj/+4z9GTU1N3K4REREtPUfPmSGIyY/ISaSzfRKdNyTtF0qlGFIp5di6thjD424M\njE7OeT3Vw1avJJfLsGtjORwuPy71TES9RhRFPHuwE3IZ8L4bUjuTaKaZnaEzU/uFNi/yfiFJeVG4\nGJqYTKIYsnmgz1PHPH+KiGilSVgMabVa3HPPPdDpdLj55pvxjW98A9///vcXYm1ERJQl77QOAQD2\nbEocqT3TqgoDlApZ5ODTWFo7xqBUyLCuLrn9QpIdTeHxtZMXR+a8luphq9Hs3hi+v7Rf6kpnOy3o\nGrRjz6aKSAclHblaJRRyGewuH1o7LNDlqlFbtnDJq/GUT/2+JhJ0hkRRxJjNw/AEIrqqxCyGRkbC\n35h8Ph8uXrwItVqNY8eOwWazRV4jIqKlb9LtR2uHBWuqDCgtTG0viFqlQF2FAV2DDgSCoZj37xq0\nY21tYcodhW1N4b1CJy5EKYb6rJDLgNWVhpTuOVPzmiLkaJQ4es6MaCdJPHugEwBw702r034GEA4q\n0Oep0WN2wGLzoHlNUcLAiYUidYask9H//CQOlx/+QAhFKYxREhEtdzGLoX379uHhhx/GjTfeCLPZ\njEcffRRf+cpXcMcdd+Cee+5ZyDUSEVEGpD0z1zan1hWSrK0xIhgS0D3kiPr6ua5xiGJqI3ISo06L\nxpoCXOgex6QnEPl4KCSgc9COmjI9tJr0R7ZUSgW2N5ViZMKNHvPs9fePOHHy4gia6gqxrja1jlY0\n+jw1fP5wwbHYkdozFRfkQCGXJRyTmw5PYDFERFePmMXQoUOHsG/fPpw8eRKPPfYYXn75ZTz55JNo\naWnBZz7zmYVcIxERZeDw1IhcusVQo3TeUG/0UbmzKZwvFM32pjKEBBGnL49GPtY34oTPH0p7v9BM\nezaG90kdPTc86+O/OzTVFboxs66QRApRAIDNDUsjPAEAFAo5Soy5sCYohqRY7WLGahPRVSRmMaTV\narFv3z48/fTTeOaZZ2AymfDFL34RDz74IH79618v5BqJiChNbm8Apy+Poa5cHzcNLp6G6vCenVj7\nhlo7LFAr5VhXm97enh3rSwHM3jckHbaayX4hybamEigVMhw9N71vyD7pw5sn+1FmysWujamFSsQi\nhSiYDFpUFKW//2g+lJly4fIKcHsDMa+JdIYKGKtNRFePpA5AKCkpwZ/8yZ/giSeeQGVlJb7+9a/P\n97qIiCgLTlwYQTAk4NoUzha6UmVxPvK0yqiJcvZJH3rMDqyrK4RKqUjr/qsrDSjUa3Dy4ghCQnhf\nT7qHrUaTq1WhuaEYXYN2jE64AQAvHe6GPyjgfTesjhm5nSqpGGpeUxT10PLFVDZVnI1M/f6jkWK1\nOSZHRFeThMWQzWbDz372M9x33334whe+gObmZhw6dGgh1kZERBl652xmI3JAOKK6odqIwTEXJt3+\nWa+d6xwHkNkeGZlMhu1NZXC4/JGCq73PBrVSjtry7CSy7Y6MypnhC4Tw+3e6kZejwm07a7JyfwDQ\n50vF0NIZkZNUTXUFXz3aGzVIApjuDBVxTI6IriIxi6HXX38dn//853H33Xfj8uXLeOyxx/DCCy/g\nE5/4BIzGzMcWiIhofnl9QbRcGkVlcR5qynQZ3athat9QW79t1sdbO6YOGF2dWQEgjcqduDgCrz+I\nnmEHVlcVQKlIaoAhoV0bwhHbR88N40BLP+yTfty9pw45GYQzXOnW7TV43w2rcP3m9AvP+XLz9moU\nG5R48XA3fv7q5ajXjNk8kMtlMOp54CoRXT1ifhf44Q9/iPvuuw+PP/44cnL4r0RERMtNy+VR+Pwh\nXNtckfHY1toZh69es7Yk8vGznRZo1YpIsZSuzQ3FUCrkOHFhGNvXlUIQxKyMyEkK9VqsrTXifJcF\nYzY3lAoZ7rm+Pmv3B8IR1p++d1NW75ktulw1Hrq5GP/zlh0/f/UycjRKfOCmNbOuGbO6YTJoszY2\nSES0HMT8J7ef/vSnuPfee1kIEREtU+9kmCI3kxRkcHnGviGrw4v+kUmsrzdl3MHJ0SjRvKYI3UOO\nyGhfQxbCE2bas7EcgggMj7uxd2sVTFfZeTr6XAX+/k+vhcmgxQ9eOI+Xj/REXguFBEw4vEySI6Kr\nTnbmD4iIaEkJBEM4cWEEJYW5GR1aKjHqtSg25qC9zxbZc9KaYaT2lbY3hUflXnqnB8B0pHe27J4R\nIpGtOO3lpsyUh7//02uhz1Pjyd+ewYFTAwCAcYcXgsj9QkR09WExRES0Ap1uG4PHF8S1m8qzlmzW\nWG2EbdIXSR072xkuhtI5bDUaad+QPxBCfo4K5absxlNXFudjz6Zy3LqjGvUVmReIy1V1qQ5ff3gP\ncjVKPPHzUzh6zjwjVpvFEBFdXVgMERGtQIfPhEfNrsvCiJwkcvjq1Khca4cFuVplVjpPQLhrUV0a\nTj1rqC6Yl3jqv/nkTnzhwWuyft/lZnVVAb766T1QK+X45x+fxGvH+wAAxUaeMUREVxcWQ0REK0wg\nKOD4+WGYDNqsHFoqke7V1meFxeaB2eLChlUmKLKU+AYAO5rKZj2L5s+6ukJ8+VO7IJMB+6ViiJ0h\nIrrKsBgiIlpBzrSP4S+eOIBJTwDXba6APIvJYKurCiCXhYshab9QtkbkJHfuqcWGVSbceE1VVu9L\n0W1uLMb///EdkQQ57hkioqtN9g5YICKiRTM87sIPXjiPI2fNkMmAO3bV4qN3rsvqM3I0StSU6dEx\nYEdJ2yiA7B8wWlGUj29+9vqs3pPi27mhDH/zyZ04fmE4a4fcEhEtFyyGiIiWMa8viN+80Y5nDnQg\nEBTQVFeIh+/dhDVZPKNnpsYaI3rMDhw+MwRdrgp1/OF5Rdi5oQw7pw6mJSK6mrAYIiJahkRRxMHT\ng/jvF89j3O6FyaDFJ+/ZgBu3Vs5L8ICksaYArx7rRSAoYHtTaVbH8IiIiBYaiyEiomXE5vThcOsQ\nXj/Rh/Z+G1RKOe6/rRH33dKAHM38/5U+M9hg0+rs7hciIiJaaCyGiIiWuElPAEfPDuHg6UG0to9B\nEAGZDNizqRx/vG8DyrJ8Hk88NaU6aNQK+PyhrIcnEBERLTQWQ0RES5DXH8Tx88M4dHoQLZdGEQwJ\nAMJjajdsqcINWypgMix88pdCIceOplL0jzhRU6Zb8OcTERFl06IVQ16vF/fccw8++9nP4gMf+MBi\nLYOIKKa2PitKC3NhyNcs6HNHrW58+al3YLa4AAB15XrcsKUSe7dWLmgXKJa/fmj7VHeK+4WIiGh5\nW7Ri6Lvf/S4KCubnhHEiokyZLS781XcOYfemcnzpEzsX7LnD4y787VPvYHTCjbv31OG919ejtmxp\nJbbJZDIo+Fc3ERGtAItSDHV2dqKrqws33XQTRFFcjCUQEcV15KwZggicvDgKrz8IrXr+/7ocGpvE\n3373MCx2Lz521zo8cPvaeX8mERHR1Uy+GA/91re+hS996UuL8WgioqQcPWcGAPgDIbS2W+b9ef0j\nTnzpybdhsXvxqXvWsxAiIiJaAAveGXruueewfft2VFRUJN0VamlpmedVEU3j1xtNekK42DOBXI0c\nbp+AFw+ehcI7OC/PamlpwYgtgB+/MQaXV8Bd1xhQq3fw65DmBb+uaKHxa46WugUvhg4ePIj+/n7s\n378fw8PDUKvVKCsrw549e2K+Z9u2bQu4QrqatbS08OuN8MrRXgBmPHB7E5490IHukRC2bL0Giiwf\nMNrS0oKC0tX41+eOwOUV8Ocfasbd19Zn9RlEEv79RguNX3O0kNItvBe8GHriiSciv/73f/93VFVV\nxS2EiIgWmjQid21zOQZGndh/vA/tfVasqyvM6nMGx/341rPvwO0N4JH7t+D2XbVZvT8RERHFtyh7\nhoiIliq3N4Az7WOoK9ejzJSH3RvLAUwXSNnS1mfFj98Yg8cbwBcevIaFEBER0SJY1ENXP/e5zy3m\n44mI5jh1eRSBoBApgjY3FkOtUuDY+WF88p4NWXvOT/5wEb6AiL/62Dbs3VqVtfsSERFR8tgZIiKa\n4ejZYQDA7o1lAACNSoGtjcUYGJ3E4NhkVp4RCIZwoXsCJQYlCyEiIqJFxGKIiFYsQRDh9QeTvj4Q\nFHDy4jCKjTlYVWmIfFwqjI6dG87Kui73WuEPhFBXqs3K/YiIiCg9LIaIaMX691+/i4f/6TXYJ31J\nXX+u0wKXN4jdG8shk00nx+1YXwaZDDh2Pjv7hs52hM8tqi/VZOV+RERElB4WQ0S0Yl3us8Lq9OE3\nb7Qndb0UkiB1giSGfA3W1RbiUs9E0oVVPK2dFshkQB2LISIiokXFYoiIViRRFDEy4QYA/P5wN8as\nnrjXC4KIY+eHoctVYUO9ac7ruzeWQRCBExdGMlqXLxDCpR4r6isMyFHzr2AiIqLFxO/ERLQiOVx+\n+Pwh5GiUCAQF/GL/5bjXdwzYMG73Ysf6MigUc/9q3DWVLpfpqNyl7gkEQwKa1xRldB8iIiLKHIsh\nIlqRpK7QbTtrUF2aj9eO92Jg1Bnz+ukRufKor1cW56OyOB+n28bgC4TSXldrZ3i/EIshIiKiNAkV\n+wAAIABJREFUxcdiiIhWJKkYKjPl4qG7myCIwE9fvhTz+qPnhqFWKbB1bXHMa3ZvLIPPH8KZ9rG0\n19XaPga5XIYNq+aO4hEREdHCYjFERCtSpBgqzMPujeVorCnA4TND6Oi3zbl2cGwS/SNObG0shlYd\n+yzqnRsyi9j2+IJo77ehoaoAuVpVWvcgIiKi7GExREQr0uhUMVRamAuZTIaPv2c9AODHL12Yc+3R\ns/FH5CRrawthyFfj+IVhCIKY8poudI8jJIjYxBE5IiKiJYHFEBGtSFJnqKQwFwCwuaEYWxqLcbpt\nbM6Y29FzZshlwI71pXHvqZDLsHN9GWxOH9r6rSmvqbU9vF+IxRAREdHSwGKIiFakkQk39Hlq5Gim\nx94+/p4mAOHukCiGOzsTDi8u91mxfpUJhvzE5/5kMirX2mmBUiHD+rrClN9LRERE2cdiiIhWHEEQ\nMWp1R7pCkoZqI65rrkBbnw1Hp4qZ4+eHIYqJR+QkWxqLoVYpcOx8asWQyxNA14ANjTVGaDWx9yUR\nERHRwmExREQrjtXpRSAooPSKYggAPnb3OsjlMvzkDxcREsSEkdpX0qqV2NpYjP4RJ4Ysk0mv6XzX\nOASRI3JERERLCYshIlpxRic8AIBS49xiqKpEh1u3V6N/xImXDnfjTLsFqyoMUQunWNIZlTvTEd6n\ntHlN7OhuIiIiWlgshohoxRmZcAEASk3RC5wP37EOKqUcTz9/DsGQgN0by1K6/471pZDJkNKo3NkO\nC1RKOdbWGlN6FhEREc0fFkNEtOKMWKeS5KJ0hgCg2JiD915Xj9BUPPbuTcmNyEmMOi3W1RbiYvc4\n7JO+hNc7XH50DznQVFcItUqR0rOIiIho/rAYIqIVZ2R8+oyhWP7o1kbkaZUoL8pDXbk+5Wfs3FAG\nQQTeaR1KeO3ZznCkdjP3CxERES0pLIaIaMUZtc4+YygafZ4a//LoXnz94T2QyWQpP+PGrVXQqBX4\n6cuXEnaHznbwfCEiIqKliMUQEa04IxNuGHUaaBKMpFWV6FBmykvrGcXGHDx0dxMcLj++99zZuNe2\ndligUSvQUM39QkREREsJiyEiWlFCgogxqyduVyhb7rl+FdbWGHHo9CCOxwhTsDq86B9xYkO9CSol\n/8olIiJaSvidmSgLBEHE6cuj8AVCi72Uq9643YOQIKYUlZ0uhVyGzz+wBUqFDE/+9gxcnsCca6T9\nQhyRIyIiWnpYDBFlwa9eb8Nj3zuCX+6/vNhLicrtDUAUxXm596XeCZy8ODIv907H6ETi8IRsqi3T\n4/7b1mLc7sV///7CnNdbOxieQEREtFSxGCLK0LlOC37+yiUAwGvH+xAKCYu8otm6h+z46GMv43eH\nOrN+73OdFvztk4fxDz84llTE9EIYWeBiCADuu6UBtWU6vHykJxKWIGntsCBXq8TqSsOCrYeIiIiS\nw2KIKAP2SR/+5WctgEyGjatNsDp9S6pLAgDPHexEMCTg5SO9We0OdQ/Z8Q8/OAZ/UEBIEHHkrDlr\n986E1BmKdcbQfFAp5Xjkga2Qy4D/++t34fUHAQAWmwdmiwsbVpmgUPCvWyIioqWG352J0iSKIv7t\nl6cxbvfio3euw8P3bgIAvHqsb5FXNs3m9OHQ6UEAwODYJLoG7Vm57/C4C3/3vSNw+4L41D3rAQBv\nvTuYlXtnaljqDJkWrhgCgMYaI963dzXMFhd+/kp4XHJ6RK54QddCREREyWExRJSm3x3qwokLI9jS\nUIz7bmlAfYUBa6oMOHlpBON2z2IvDwDwyrEeBEMCtjSEfxiXCqNMWJ1ePPafR2B1+vDp92/CB29u\nQFNdIc52WjDh8GZ8/0yNWt2QyYDigoUthgDgo3euQ5kpF88d7EB7vxWtHWMAuF+IiIhoqWIxRJSG\n9n4rfvT78yjI1+CLH7kGcnn40M47dtVCEES8cbJ/kVcIBEMC/vBOD3I0Svzlx7YhV6vEW2cGIQjp\nj8q5PAF89XtHYR534YHbG7HvhlUAgL1bKyGKwOEzQ9laftpGJtww6bWLEmOt1SjxuT/aAkEEvvPL\nd9HaYYEuV4W6cv2Cr4WIiIgSYzFElCKXJ4DHf3ISIUHEFz9yDYx6beS1vVuroFYpsP9Y37yltyXr\nyFkzxu1e3LqjGoZ8DfZsKseY1YNLvRNp3c8fCOEff3gcXUN23Lm7Fh+9c13kteuaKyCXLf6oXDAk\nYNzmQWmaB6lmw+aGYtyxqxY9ZgfGrB5sXF0UKZaJiIhoaWExRJQCURTxH785g+FxN+67pQFb15bM\nej0vR4XrmsthHnfhXOf4Iq0y7MW3uwCEDwYFgL1bqgCkNyoXEkT8y89acLbTgj2byvFnH9oMmWz6\nB3yjXouNq4twsWciEmCwGCw2DwQRKDHmLNoaAOBT+zagUK8BwBE5IiKipYzFEFEKXj3Wi7feHURT\nXeGszshMd+yqDV97vHchlzZL54ANF7oncM26ElQW5wMANjcUwZCvxuEzQynFf4uiiO/+9gyOnDWj\neU0R/vKj26CI0unYu7USAPD2mcXrDo2MS7Hai9cZAoD8HBW++OFt2LjahOuaKxZ1LURERBQbiyGi\nJPWaHfjes2eRn6PCX35sW8yo5A2rTKgoysM7Z4Yw6Qks8CrDXny7GwCwb6orBAAKhRzXNVfANumL\npJwl49kDnXjlaC9WVRrwt5/aCbVKEfW6PZsqoJDLcGgRR+VGrFIxtLidIQDY3FiMb/z59bPGKImI\niGhpYTFElITuITu+8aMT8AcFPPLA1rhn2MhkMty+qxb+oICDpwYWcJVh9kkfDp4eQHlRHq65Yoxv\n79bURuVsTh9+sf8SDPlqfPXTu5GrVcW8Vp+nxta1JegcsGNwbDKp+7u9AfzbL07j1KXRpK5PZPrA\n1cXtDBEREdHywGKIKA6XJ4D/+t1ZfOGJgxgcm8SHbl6DPZvKE77v1u3VkMtlePXYwo/KvXqsF4Gg\ngHuuq5+zcb+prhBFBi2OnB1CIBhKeK9f7r8Mjy+ED9++FkZd4g7HDVvCo3LJBin8/NXLeO1EHx7/\nyQmMWTOPI48cuFq48LHaREREtPywGCKKQhRFHGjpx5/98+t4/lAXSgtz8dVP78Yn79mQ1PuNei12\nNJWia9COjgHbPK92Wigk4KV3eqBVK3Drjpo5r8vlMtywtQoubxAtCboxQ5ZJ/OFID8qL8nDnnrqk\nnr97YxlUSnlSnafeYQeef6sLWrUCLm8Q3/nV6YwT+EYm3JDLZSgycDSNiIiIEmMxRHSFXrMDX3ry\nMP71f07B5QngY3etw3/81c3Ytq40pftIQQr7F7A7dPT8MCw2D27ZXo28nOgjbXunujeJCpYfv3QR\nIUHEx9/TBGWM/VFXytWqsL2pFP0jTvSaHTGvE0UR//nMWQiCiL96aDu2rSvBu21jePlIT1LPiWVk\nwo2igpyY+7mIiIiIZuJPDERT3N4AXjllwyP/5wDOd41j14YyPPm/b8UDt6+FShk9NCCebetKUKjX\n4OCpAfgCiUfSsuHKOO1oVlcZUFGUh+MXhuH1BaNe09ZnxeEzQ2isKUg5DU0alYsXpPDWu4M422nB\nzvVl2Lm+DJ+/fwvyc1T4wQvnYba4UnqexB8IYcLhRRlH5IiIiChJLIaIAAiCiC89eRhHLk2iuCAH\nX/lfu/DlP96F0gx+sFYo5Lh1Rw1c3iDeaR3K4mqj6x6y41znOLY0FqO6VBfzOplMhr1bq+Dzh3Ds\n/PCc10VRxA9fPA8A+OQ9G2adJ5SMHU2l0KoVeOv0YNSxN7c3gKefPw+VUo5P37sRAGAy5OAzH2yG\n1x/Ct39xCiEh9XG5MVt4z1G8cAsiIiKimVgMEQE4dXkUXYN2rK3S4j/++hbsXF+WlfvetjO8b2f/\nsb6s3C+eaHHasUhnAkUblTtxcQTnOsexY30pNq1O/cBQrUaJnRvKYB53Rd0v9Yv9bZhweHHfLQ0o\nM02nvu3dWonrmitwoXsCzx/qTPm5kTOGTCyGiIiIKDkshogAvDA1XnbjRj00Mc7RSUdFUT42rS7C\n2U4LhizJxU2nw+n248CpAZQW5mJbU+K9TdWlOtRX6HHq8ggm3f7Ix0OCiB/9/gLkMuAT712f9npi\n7UvqG3bg+UOdKC3MxYduaZj1mkwmw599qBkF+Rr85A8X0Tcce89RNNIZQ+wMERERUbJYDNFVb2DU\niVOXRrG+vhAVheqs3//2XeHu0GvH5687tP9YL/yBEO65vh4KeXJjbXu3ViEYEvHOWXPkY2+c6EPf\nsBO37qhBbZk+7fVcs64EeVol3n53EMLUyJsoivjPZ88iJIh4+N5NUYtOQ74Gn/ujzQgEBTzxi9MI\nhoSknzkyHt5rlMloIxEREV1dWAzRVe/3h6fGy25IPF6WjmubK5CnVeL1E30IpfDDfbJCIQG/P9wN\njVqB23bWJv2+SNDB6fDBsF5/ED99+RLUKgU+ete6jNakUiqwe1M5LHYvLvZMAADePjOE1g4LtjeV\nYueG2GOIuzaW45bt1ejot+HXr7cn/czRqXOKWAwRERFRslgM0VXN7Q3g9RN9KDJosXtj4sNU06FR\nKXDjNVWYcPjwxsn+rN//yDkzRq0e3LKtGvkx4rSjKS3MxbpaI852WGB1ePHCW12YcHjx/r2rYDLk\nZLyuvVuqAIST4zy+IJ5+/hxUSjkevndTwvd++t5NKDJo8cv9l5M+p2lkwgWlQoZCPc8YIiIiouSw\nGKKr2msn+uDxhfCe6+qTPksnHR+6pQE5GgWefuE8rA5v1u4riiKeebMDMhlw742rU37/3q1VEETg\npXd68Js32qHLVeNDNzckfmMSmhuKoM9T4/CZIfzPK5cwbvfigzevQXlRXsL35ueo8OiDWxESRDzx\n81MIBBNHk49MuFFszIU8yTFBIiIiIhZDdNUSBBEvvt0NlVIeOSB1vpQYc/GJ96yHyxPAU8+2Zu2+\n57vG0d5vw+6N5agozk/5/ddvroBcBvxi/2W4vUE8eHtjzMNaU6VUyHFdcwVskz48d7ATJYW5uO+W\n5AutLY0leM+1degbduKld3riXuv1BWGf9HNEjoiIiFLCYoiuWqcuj8JsceHGrVUw5Gvm/Xl3X1uP\n9fWFeKfVjMNZOnfo2QPhCOoP3Lgmrfcb9VpsWhOOzy4tzMXd19ZlZV2SG6YivAHg0+/fCK1amdL7\nP3LnOigVcrxytCfqmUUSKUmOxRARERGlgsUQXbVeeCscp33P9fUL8jy5XIbP378FKqUcTz3TCueM\nSOt09I84cfzCMJrqCtFUX5j2fe7cVQcA+NS+DVApsxcrDgDr601oqC7A3i2V2BUnNCEWQ74G1zaX\no39kEhe6J2JeNzrBYoiIiIhSx2KIrkr9I06cujyKDatMWF1VsGDPrSrR4cN3rIXN6cPTz5/L6F7P\nHZzqCt2U+l6hmW7YWomffu0uXNdckdF9olHIZfg/X7gRf/XQdshk6e3luXN3eITx1WO9Ma8ZYTFE\nREREaWAxtAyJohg5u4XSE4nTvn5+4rTj+cBNa7Cq0oDXT/Tj1OXRtO5hdXjxxsl+lBflYeeGzFPw\nFmJMMF2bVhehvCgPb787OOuA2JmkYqiExRARERGlgMXQMvSPPzyOLz359mIvY8kJBAW091vj7i0B\nAJdnZpx26qNbmVIq5Hjk/i2Qy2X4j1+/C48vmPI9fn+4G8GQgHtvXJ30IavLlUwmw127a+EPCniz\nZSDqNewMERERUTqWbTHUOWDDfV96Ea0dY/Ny/1++dhnPHeyYl3tnqr3fisu9VnaHrvCb19vwxW8f\nwte+fxQTceKrXzvRB68/HKetmMc47XhWVxXgQzevwajVg5/84WJK7/X6gnjpnW7o89S4ZXv1PK1w\nabllew2UClnMIIVRqxtqlQIFS7jDRUREREvPsi2GTl0ehc8fwqUea9bvHRJE/HJ/G555c+kVQ6Io\nwuEKICSIGW/AX2nOdo4DAFoujeJz33oT70RJbAsJIl58uwvqBYjTTuTB29eisjgfL77dhYtxwgGu\n9NqJPjjdAbz3uvqU09mWqwKdBrs3lqN32InLfXP/Pz8y7kZpYU7a+5KIiIjo6rRsi6G+YScAwD7p\ny/q9x6xuBIICbJM+BENC1u+fCY8vGFmTbR5+78uVIIjoGLChsjgfn/nAJvj8QXzjRyfwxM9PweUJ\nRK5ruTSC4XE3brxmYeK041GrFHjkgS0AgO/86jT8gcQHi4YEEc8d7IRaKcd7rl2YFLylQgpSeOXI\n7CAFlyeASU8AJUaOyBEREVFqlm0x1DvsAADYJ7PfHRkYnQQAiCLijlstBodr+vdrc7AYkgxZJuHx\nBdFQU4D3Xr8K3/7iTVhTZcAbJ/vxyL++iXOdFgDTcdr7blj44IRo1teb8N5r6zEwOolfvtaW8Pqj\nZ80YmXDjlh01KNBdXSNhzWuKUWbKxaF3B2cVuKM8Y4iIiIjStCyLoVBIQP9IuGCxu7JfEAyMOiO/\nnrAvrWJo5mic1bm01raY2vttAICG6nBMdnWpDt96ZC8euL0RFpsHf/Pdw/jOL0/j3bYxbFhlQn2F\nYTGXO8tD72lCsTEHv3qtDd/55emYf66iKOKZA+2QyYB7b8wsTns5kstluGNXLfyBEA6cmg5SYHgC\nERERpWtRiqHHH38cDz74IO677z7s378/5fcPWVyRUTHHPHaGAMBi92T9/pmY2RmyOhenM7QUgxs6\npGKoyhj5mFIhx8fuasI/f+4GlBXmYf/xPgBLpyskydWq8OVP7UJduR77j/fhM998Hc8d7Jwzonmh\newJtfTbs2lCGyuL8RVrt4rptRw0U8tlBCtPFUN5iLo2IiIiWoQUvho4ePYqOjg784he/wPe//338\n0z/9U8r3kPYLAfOzb2ZmMTS+xDpDs8bkFqEYevZABz762B9gsS2tIrG93wa5XIb6Sv2c19bVFeLf\n/r+bcM/19bhucwV2b1j4OO1EVlUa8O2/uBGf+WAz5DIZnn7+HB751zdxesY5RM8eCAd6fOCmNYu1\nzEVn1Guxc0MZuocckW7gaOSMoZzFXBoREREtQwseRbVjxw40NzcDAHQ6HdxuN0RRTCkFqscc3i8k\nkwEOly/l9ycyc0xuqRVDTtfijskdPjOESU8Ab5zsx/23NWb9/qMTbhj1GqiUiqTfEwoJ6By0o6ZU\nFzNdLUejxJ9+oDlby5wXCoUc772uHjdsqcRPX76IV4704LHvHcHujWW4a08djp0fxtpaI5rqChd7\nqYvqrt11OHLWjFeO9qKxxsjOEBEREaVtwTtDCoUCubnh2f7f/OY3uOmmm1IuZKTwhFWVBgRDItze\n1A+tjMXh8sM+6Ud9RbjDML7EOiCLOSbn9QfRMRD+1/g3W/oTHm6aqnG7B3/6zdfx45dSO3enf3QS\n/kAosl9oudPnqfHnH9qMJ/7iJmxYZcLRc8P46n8dBQB88KY1V3189JbGYpQYc3Do9ADc3gBGJtzI\n0Sigy1Ut9tKIiIhomVm0Q0pee+01/Pa3v8UPfvCDhNe2tLTM+u+2njFo1TLo1OFEqcNHW2DSZ+cH\nob6xcIFRohPQIwN6BsfmPH8xdc44V8k8alvQtXWPeBGa2i80MDqJF187iopCddbu3z7kQTAk4NCp\nXmypTL7QO9XpAgCoRUdWPh9L6c/7vl1arCsrxKun7cjTyqHyDaGlxbzYy1p0G6tVeKPVg5889w6G\nxpwoyFfi1KlTi72stCylrzda+fj1RguNX3O01C1KMfTWW2/he9/7Hr7//e8jPz/xRvBt27ZFfu0L\nhGD9+Ytoqjdhda0R73Z1oLquEU312RkdmjjWC2AMO5rXoN18EX5BMev5i23/+RMAXMjTKuELyhd0\nbe37LwOw4PadNdh/vA/Drnzsu31T1u4/5O4CMI4JZxA1q9aj2JjcHpBjPWcAWHHrdc1oqDYmvD6e\nlpaWJfXnDQDbtwOf+KAIQRChUCzLAMisq1vjwYFz+9HSHYA/KKKuwrTk/tySsRS/3mjl4tcbLTR+\nzdFCSrfwXvCfrJxOJx5//HE89dRT0OvnbnZPZGDECUEEast0kUMzsxmvPTgWDk+oKsmHyZCDcbs3\n6+NgmZD2DFWX6mB3+RBawENhL3SNAwA+dncT9HlqHDo9mNXnm8ddkV+3dowl/b72fhuUCjnqylP/\nelouZDIZC6EZTIYc7GgqhdkS/popNTFWm4iIiFK34D9dvfTSS7DZbHj00Ufx0EMP4aGHHoLZnPzY\nT+9UklxtuR6G/PCIlj2LiXJSkly4GNIiEBRm7dNZbA6XH3laJYoKciCKWLC1hUICLvVOoKokH4V6\nLfZuqYRt0ofTbckXLYlIP9gCwJn25O4bCIbQM2RHXYU+pdAFWv7u2lMX+TXPGCIiIqJ0LPiY3AMP\nPIAHHngg7ff3TYUn1Jbp4fWHgxPsWTxraGDUCV2uGoZ8DUyG8JjWhMMb6UItNofLD32eBgW68Hqs\nTh+Meu28P7fb7IDHF8KGVSYAwE3bqvDi4W68ebIf25tKs/IMs2USulwV5HIZWjssSaUE9pqdCIbE\nFROeQMnburYERQU5sNg8KDGyGCIiIqLULbu5G6kzVFOmgyEvu2NygaAA87gbVSXhfUwmQ7jIWCpn\n6oiiCIfLD12eCkZdeG0LFa99oTs8Ird+am9WY40RFUV5OHrODLc3kPH9QyEBIxNuVBTlo3lNMcbt\n3sjIYjzt/eFAiYYqFkNXG4Vchg/etAZqlQJr+OdPREREaVh2xVCP2YFCvRa6XDX00picMzudoeFx\nFwRBnFEMhTtD2T5ryB8I4dg5c8p7kTy+IIIhAfo8DYxSZ8ixMPHaF7omAADr68OdIZlMhpu3V8Mf\nFPBO61DG9x+zeRAMiSgvykPzmiIAQGuHJeH7pIM317AzdFXad8Mq/Oof35N02AYRERHRTMuqGHJ5\nArDYPKgt0wFA1gMUpMNWpWKoqGCqM2TPbmfoxy9dxD/88Dha2xP/sD+TtD9In6eOjMnZsrhfKhZR\nFHGhexyFeu2svRk3XVMFAHizZSDjZ0j7hcqL8rC5oRhAcvuG2vttUKsUqCnVZbwGWp4YLEFERETp\nWlY/RfTNCE8AAI1KgRyNAo4s7RmaDk8I/2Ad2TOUxc6Q2xvAq8d6AQAjVndK73W6w79PXa56Qcfk\nzOMuWJ0+rK8vnLWHp8yUh/X1hTjbacGYNbOCUUqSKy/KQ5kpF8XGHJztsEAQYnfPvP4g+kacWF1p\n4A/ERERERJSyZfUTZG8kPGG6C6DP02SxMzSdJAcApqlggmyOye0/3gePLxz8kGohM7MzZNRPdYYW\nYExOGpGTwhNmunlbNUQROHCqP6NnzOwMyWQybF5TDKc7gO4he8z39Aw5IAgMTyAiIiKi9CzPYmjG\neTKGfDXsk76snAU0MOqEUiGLjIJpNUrk5aiyNiYXEkS88FZX5L9tztQKmZnFkDQiuBBjctPhCXOL\noes3V0CpkOPNloGM/gwixZApDwDQ3JB431DbVHgC9wsRERERUTqWVTHUN+yETAZUl0x3hgz5GgRD\nItzeYEb3FkURA6OTKC/KnzVyZTJos9YZOn7ejJEJN3ZtKAMQjsVOhXNGMaRUyKHLVS/ImNyF7nHk\napWzilBJfq4aOzeUon/Eia7B2F2cRIYsLuRpldDnhUMxpBCFePuGOqbCE9gZIiIiIqJ0LKtiqHfY\ngbLCPGg108cjZSte2+r0we0NRkbkJCa9Fi5PAF5fZsUWAPzuULgr9LG7myCXpd8Z0k0VDEa9Zt7T\n5GxOHwbHXFhXVwiFPPqZPzdvqwaQfpCCIIgYHndFRuSA8H6tqpJ8nO8aRzAkRH1fe78NORolKory\no75ORERERBTPsimGbE4f7JN+1JTNTg0zZCle+8okOUlRwVS8tiOzDkzHgA3nu8axtbEYdeV66PM0\nsGWwZwgAjDoNJj0BBIKhjNYWz5XnC0WzbV0pdLlqHDw9gFCMwiWecbsXgaCA8iuKms0NxfD6Q2jr\ns855j9sbwODYJNZUFUAeo0gjIiIiIopn2RRDvea5+4WA7MVrX5kkJyk0SCEKme0bev5QJwDg/Teu\nBgAU6DSpd4bcs4uhgvzw2mxZOmcpmgvds88XikallOOGLRWwOX14N4k47CuZx8Of+/KivFkfj3fe\nUOegHaLIETkiIiIiSt/yKYaiJMkBMzpDGcZrX5kkJ8nGwasTDi/eencQVSX52NpYAiBcDLm8QfgD\nyXd1pD1DutzpMTlgfuO1L3SPQ6mQobHGGPe6m7dPjcqdTH1U7srwBMmmNUWQyRD1PKb2Ph62SkRE\nRESZWUbF0NQZQ2WzO0N6ac9QhqlqgzGKoaKpzpDFln5n6KXD3QiGRLxv7+rISJdROjQ1he6Qw+VH\nnlYJ5VTAQzr3SIXHF0TnoB1rqgqgUSniXru2xoiKojwcOWeG2xtI6TkzY7Vn0uWqsarSgIs9E/D6\nZ+/Z6hhgeAIRERERZWYZFUMOKOQyVBTPLlYKsjYm50ShXotcrWrWxzM9eNUXCOEPR3qQn6PCzduq\nIh8vSOPQVIfLHyn+wveQOkPzUwy19VohCGLcETmJTCbDTduq4Q+EcOSsOaXnDE0VQxVXFEMA0Lym\nGMGQgEs9E7M+3t5vhS5XFYlBJyIiIiJK1bIohkRRRN+wA1Ul+VApZy9ZPzUm58hgTM7rD2LU6pnT\nFQLC0dpA+gEKB1oG4HD5cdeeOmjV0yl4xhQLGVEU4XD5ocubLtakgirVIIZkSeEJ0Q5bjUYq9t5s\nSe0AVrPFBa1aESnuZtrcIEVsT4/KOd1+DI+7saaqIJI+R0RERESUqmVRDI1ZPfD4QnNG5IAZAQoZ\njMkNjYU7E9GKIelMn3TG5ERRxPNvdUIhl+G919XPeq0gxRE3jy+IYEiY1RlKtaBK1fmpYmhdXewk\nuZnKTHlYW2PE2Q4LPElGkYuiCPMVsdozra83QSGXobVjOpghcr5Qgn1MRERERETxLIvGdp7xAAAe\nfElEQVRiSApPqCnXzXlNo1IgR6PIKEBhOlZ77v1lMlnaB6++2zaGvmEnrttcEYnolqRayDjd4X04\nUpJc+B5SZyj7xVAwJOByrxU1ZbpZz0xkwyoTBHG6YEnE6vTB5w/N2S8kydEosbbWiI5+GyY94c9B\n+9S911RxvxARERERpW+ZFEPRwxMk+jxNRnuGpCS5yiidISA8KmdzelM+Q+f5t8KHrL5/7+o5r6U6\n4uaY+v1JSXJA+PBVuWx+0uS6Bu3w+kNJ7ReaaW1tuFtzqXciwZVhsZLkZmpeUwxBBM53hkflpPCE\nxhoWQ0RERESUvuVRDElnDMUohgz5atgn/RBFMa37x4rVlhQZciCIqY2j9Y84cfLiCJrqCqPGUqfa\nGbrywFUAUMhlMORr5mVMbvp8oeRG5CRSMXS5d+5BqdGYLeHP/ZXBGDNF9g1NnTfU3meFUadBoV6b\n0tqIiIiIiGZaHsXQsANqlSJmcpghX4NgSIDbm9w+lSsNjDqhUStQZMiJ+no6B6++8Ha4K/S+vaui\nvq7LVUMulyU94hatGALCo3LzMSYXCU9IsTNkMuSgyKBFW581qeJ0KEas9kxra41QqxRobR+D1eGF\nxe5FQ7WR4QlERERElJFlUQz1j0yipkwXOaPnSoa89OO1BUHE4OgkKovzY95fite2JLlvyOn2442T\n/Sg25mDPxvKo18jlMhTkq5MuZCIHrl5RDBXoNPD4gvAmGViQDFEUcaF7HEUGLYqN0QvEeNbWFsLq\n9GHMmrh4NMeJ1ZaolAqsry9E73C42wbwsFUiIiIiytyyKIaCIQG1ZXPDDSSGDOK1x2we+INCzBE5\nACgqSK0z9G7bGHz+EO7cVQuFIvanuECnhW0y2T1D0TtDkVS6DA+dnWnI4oJ90o/19aa0ui+pjMqZ\nx11QqxSRMIhYNjcUAwCeOdABgIetEhEREVHmlkUxBMTeLwQgEjedTkEQL0lOYtKndvBq59QG/0Th\nA+GuTiipGOrYY3JTe48c2SuGzneFR+TWJ3m+0JWkPVKX+uKHKIiiCLPFhXJTbsyunKR5TXjfkLS/\ni0lyRERERJSp5VMMlccuhgp04QIhnXjtROEJAGCa6gxZbEkWQ4N2AEB9pSHudcYUzhpyuKeKodwr\nO0NTqXRJdpiSIe0XSjU8QbK6ygCFXJawM+Rw+eH2BuPuF5q+ZwHytOFDa4uNOVEPaCUiIiIiSsXy\nKYbijMlJnSFHGnuGkimGCvVayGTAuCPxmJwoiugcsKPclIf8HFXcawvyky+GYu0Zmo+DVy90TyBP\nq0RNnG5cPFq1EvUVenQN2hEIhmJeF4nVLor9uZco5DJsXB3uDnFEjoiIiIiyYVkUQ/k5qrgxytKe\noXTH5GSy+NHOSoUchnxNUgevjlk9cLr9WFUVvysEAMap31My5wQ5XH7kaZVQXrEHyajP7pic1eGF\n2eJCU70JigSja/GsrS1EICige8gR85pkkuRmkvYNcUSOiIiIiLJhWRRDteX6uBv5DVMdlnQCFAZH\nJ1FizIVGpYh7XZFBi3GbJ2FcdOdgeL/Q6gQjcsCMzlASRZzD5Z/TFQIQCR7IVoDC+QxH5CSRfUNx\nDl+NJMnFOXB1ptt31eBjd6/D3dfWZ7Q2IiIiIiJgmRRDNXFG5IDpYsieYkEw6QnA6vTFHZGTmAw5\n8AcFTHoCca/rHAjvF1qdRPci2a6OKIpwuPxzwhOA6TQ5qyM7e4ak6GopsCBd65JIlDOn2BnSqpV4\n4La1CccPiYiIiIiSsSyKoXhJcgCgUSmgVStgd6XWGRpMIklOIh28arHF3zckhSdkszPk8QURDAmR\nvVEz5eeooFQkf3hrPCFBxIkLIzDqNGioNmZ0r/KiPOhyVfGLofFJKBVymApSP8uIiIiIiChTy6QY\nSlysGPI1KXeGkglPkBRNHbyaaN9Q54ANRQU5kW5VPJE9Qwm6Ok53uBuly53bEZHJZCjQaWHNwpjc\n5d4JOFx+7NxQljDqOhGZTIa1tYUYmXDHLNTMFhfKTLkZ7U0iIiIiIkrX8iiG4sRqSwz5atgn/Qn3\n9MyUSjFkMkgHr8YuXCYcXlidvqS6QsCMrk6CQkZKyYvWGQLCo3I2hzel33s0x88PAwB2bijL6D4S\nad9QW9/c7pDT7YfTHUh6RI6IiIiIKNuWRTGky527V+ZK+jwNgiEhqQNMJckcuCqZLoZij8lJh60m\ns18ImOrq5GsSxmLHOnBVYtRp4A8KcHuT/71Hc+z8MDRqRSS1LVNra2OHKKS6X4iIiIiIKNuWRTGU\njFSS2SQDo5PIy1FFornjMSUxJhfZL5RErLakQK9N2NWJdcaQREqUSyaiO5bBsUkMjE5ia2NxwmS9\nZEmdoWj7hlJNkiMiIiIiyrYVUwxJBU2y8drBkACzxYWqkvy4sd2SVDpDqZyDU5Af7urE62gl6gxJ\niXKZhCgcOxcekduVpRE5IDwGWF2aj/Z+K0LC7GLPPJ78gatERERERPNhxRRD0n6aZEMUhsddCAli\nUvuFACBXq0KORpmwM2TUaeIeEHsloxSNHaeQSWZMLtE9Ejl+YRgyGbC9KXvFEACsrSmExxfCwIhz\n1sc5JkdEREREi23FFEMFunChYEuyMzQdnpB4v5CkqEAbszNkn/RhzOpJer+QJJmujsOdqBjKbEzO\nPunDxe5xrKstjKwnWxoj+4Zmj8qZLS4o5DKUGBmrTURERESLY8UUQ1JnSEpeSySVJDmJSZ8DpzsA\nXyA057WuFM4XmimZQibSGYoRJJHpmFzLpREIYnZH5CTTh6/ODlEwW1woKcyFQrFivgSJiIiIaJlZ\nMT+JSnuG7El3hqQkueSLocI4+4bSCU8AkitkEgcoZFYMHctypPZMNaU6aNUKXJ4Rr+32BmCb9HFE\njoiIiIgW1QoqhlLbM9Q37IRSIUNZCmlmRQWxE+UisdqVqY3JJbtnKE+rhDJGF6Uggz1D/kAIpy6N\noqIoL6XCMFkKhRwN1Ub0jzjh9oYPj2WSHBEREREtBVdlMRQSRPQOO1FdqotZYEQT7+DVzkE7dLkq\nFKe4ByapPUMuf8yuEADkaJTQqBWwpbFnqLXDAq8/hJ0bypJK1UtHY00BRBFo7wsXjNNJciyGiIiI\niGjxrJhiSKNSQKtWwO5KPCY3PO6CPxBCXbk+pWeYplLixm2zx+RcngDMFhdWVxakXFAk2jMkiiIc\nLn/M8AQg+cNbozl+PvuR2ldaW1sIALjUF943xCQ5IiIiIloKVkwxBAD6fA0cSXSGeoYcAIC68tT2\n95ikMTnH7MKlK839QgCQq1VCrZTHLGQ8viCCISESEBGLUaeBzemDIMQ+vPVKoiji2Plh6HLVaKor\nTGndqVhbO/vwVRZDRERERLQUrKhiqCBfDdukH6IYvyDoNoeLl7qKFDtDU2Nylis6Q52D6e0XAqa6\nOlOFTDROd3ifjS5XFfc+Rr0WIUGE051cgAQAdA7YMeHwYsf60nlNdSvUa1FizMHlXitEUcSQxQW5\nDCgtzJ23ZxIRERERJbKiiiF9ngbBkACPLxj3OqkzVJ/imJwhTwOlQoaJK/YMdQ6k3xkCwqNyNqcv\nahEnRYUn6gwVTO2ZsiUZIAHMb4rclRprjHC4/Bged8NscaHImAuVUjHvzyUiIiIiimVFFUPJxmv3\nDjtgyFenfMCoXC5DoX7uwaudgzbkapUpJdPNVKALF3EuT2DOa5EzhuLsGQJmxGs7UimGzFAq5Nja\nWJzCatMj7Rtq7RjDhMPLJDkiIiIiWnQrqhgqSCJRzu0NYHjcjbpyfVrpaSZDDiacPoSm9uZ4fUEM\njE5iVaUBcnl6aWzxorETnTEUuYc+8eGtM41OuNE95EBzQxFytfFH8LJBOnz14KlBANwvRERERESL\nb0UVQ9IoWbxiqG84fNhqquEJEpNBC0EQIzHW3UMOiGJ6+4Uk8eK1U+4MJTkmd/zC/KfIzbSq0gCl\nQoaznRYALIaIiIiIaPGtqGIoMiYXJ1672ywlyaW2X0hiMsw+eDUSnpDmfiEgfrx2ssVQpLuU5Jhc\nZL/Q+oUphtQqBeorpj9HLIaIiIiIaLGtsGIocWeoZyi9JDnJ9MGr4X1DkfCEyvSLobidoal0OH1u\nos5Q8mNyLk8A5zotWFNlQFFBaofEZkKK2AZYDBERERHR4lthxVDiAIUeswNyGVBTqkvrGUVROkNq\nlQKVJendD5gecYu2ZyjVzlCsiO6ZTl0eRTAkYueG8lSXmhEpRAFA2mETRERERETZsrKKIWnPkCt6\nQSCKInrMDlSW5EOtSi/WuTDSGfLCHwihb9iJVRV6KNIMTwBmBijM7eokG6CgUSmQq1XGPLx1puPn\nF3a/kEQKUSgyaKFJ8/NPRERERJQtysVeQDbppzpDjhidoTGrB25vENvWpT/SFjl41e5B77ADIUHE\n6qr0wxOA6RG3WAEKuVollEkcimqMc3irJBgScOLiCIqNOahPc1QwXaWFuVhXa0RdRfqffyIiIiKi\nbFlRxZBWrYRWrYiZqNaTYXgCMF0MTdi9WdkvBAA5mvC6Y43JJRqRkxTotBiyjCMUEqCIUTy92zYG\nlyeAm6+pSitaPBMymQzfemTvgj6TiIiIiCiWFTUmBwD6fA0cMYqhbnNm4QkAoFIqYMhXY9zuQefg\nVDGUYWcICI/KXdnVEUUxxWJIA1Gc3mcUze8PdwMAbttZk/5iiYiIiIhWgBVXDBXkq2F3+SGK4pzX\neoYy7wwBgEmfA4vdi44BG5QKOarTDGOYyajTwjbpgyBMr9vjCyIYEqBLkCQ3fY/YQQwAYLa40HJp\nBE11hVkp4Ijo/7V377FRV30exz/T6XR6mQ690BYQnlbYR92VappKHmyJrIRllYV/NmqIiIkmhohE\nTUxABPnDUJQSoyGANFIEFGxDvZFdBZRHWaJUsEXL1sU8iEithXaw7Uxv09vsH+1MQQq0dO6/9ysh\nMNNy5ttyQubTc873AACASBZ1YcieZFVPb7863b1Xfexcg1NJ8bHKGGM76fSUeLm7+3S2vlU5k+yy\nxI7925iSbFV/v0eujqFVHVdHj6Qbd5LzulF77U+/+UUejzS/8NYxVgsAAABEvpCEofXr12vRokVa\ntGiRTp065dexr9Ve293Tp9+b2pQzadyYz8p4L17t7/eM+byQ13CtsZ2DXfHsg13ybiT1Ou21u7p7\n9cXx80qxWVV4V3BbagMAAADhKOhh6Pjx4zp//rzKyspUVFSkoqIiv46fYhu+vXbdBZf6PWPfIicN\nNVGQ/HNeSJJSbcOFIW9bbcuIxki5zja5oyfr1dbZo3kzs2WJpa01AAAAEPQwVFlZqblz50qSpk2b\nptbWVrW3t/ttfO8qSuufAsE5b/MEP4Sh8ZeHIX+tDNmv3uLm8l24OtKVoeG3yXk8Hv3X178oJsak\nB2bm+KFaAAAAIPIFPQw5HA6lpqb6Hqelpampqclv4/u2yf2po9ov3rbafrhbJ21wm1xMjMkv4Uoa\nWtFqHmZlaMRnhuzDb5P76ddmna1v1d/unKCM1LGdlwIAAACiRcjvGfJ4PDc8w1NVVTXi8RobOiVJ\nP/50VumxDt/zp34aCFx/NPysKscvN1HpZa/RMtDYIMMeq1M1349pLK+LjoEAc/rMr6pKHljF+unM\nwO8Nv/2iqp6GG47RN9iJ7vzvjiu+Zx9884ck6a8ZPaP6XhoV3yMEE/MNwcR8Q7Ax5xDugh6GMjMz\n5XAMhZTGxkZlZGRc9+/k5+ePeHx7ZrP2Hvkf2cZlKD9/uqSBwPX6xwc0MT1JBTNn3Fzhl3H39Kmi\n8u+6P3+K8vPvGPN4kjT5jw6VHvpc1sQU39f77bkfJLk0Iy9X2SNcgUre36Q+WXxjNLu69H/lhzQl\ny6aH5hcE/aLVSFNVVTWq+QaMBfMNwcR8Q7Ax5xBMNxu8g75NrrCwUAcPHpQk1dbWKisrS4mJiX4b\nf1zS1Q0Uml1uuTq6lT1x7PcBSZLVYlbp6n/T4gf8E4Ska3WTG902OWlgq1yzc2iMQ9/+qt4+j+YX\n3EoQAgAAAC4T9JWhvLw83XnnnVq0aJHMZrPWrl3r1/Htg2eGnJe11h66bNU/zQ4CwWoxKzE+9ooz\nQy5fN7mRh6EUm1XnL7jU09unGJNJB745pwSrWXPumeL3mgEAAIBIFpIzQy+88ELAxo6Pi1V8nPmK\nlSFfJzk/NE8IpBSbVS1tV64MJcbHKtY88gU8b0e5Fle3/lHXLEdrl+YX5CgxfmTtuQEAAACjCMml\nq4Fmt1mvaK3t7SR3q586vwVKqj1ezja3rxGCs717VFvkBsbwdqXr0n9/PdAoYn7hrf4tFAAAAIgC\nURmGxiXFqbW9Wx7PQKg497tT1jizstKTQlzZ9aXYrOr3SM52tzwez82FocGzR//7s0M1ZxzKnTZe\n2RPCOwQCAAAAoRCdYchmVU9vvzrdverp7ddvjS5lT0iWOSa8GwikXtZEoau7T719/UpOHF0Y8jZi\nqPj7GUnSf8xiVQgAAAAYTsjvGQoE38Wrbd1y9/Spt88T1s0TvLxBptnp9p3xGe3KUMrgmSFXR7fS\nx8Vr5p0T/FskAAAAECWiMwxd1l77gqNdkpQT5ueFpKEg09LWpeQkbxiyjmoM7+qSJD1wb47Mo2i+\nAAAAABhJVL5THmcbCATOtm6dG2yeEO6d5KShINPsdMvV3iNJvlA0Ut7VpVizSf/+t2z/FggAAABE\nkehcGRrcJtfS5vZ1kouMlaHBM0NtbjkHW4OPdmVoXJJVt/0lRf+ck65Ue7zfawQAAACiRZSGocFt\ncm1u/drg1Phx8aNuRBAK3juCmp1uOVMGLlwd7ZmhmBiTXn9utt9rAwAAAKJNlG6TGwgQvzW26VJr\nl3ImhX/zBElKSfauaHXJ2T4YhiIgxAEAAACRKDrD0ODWspp/NEmKjC1ykmSJNcuWYFGzyy1nx82t\nDAEAAAAYmagMQ/bBlSFHa5ekyAlD0sC5oRaXe2hliDAEAAAABERUhqH4uFjFx5l9jyOhk5xXanK8\nnO3danENNFCwsU0OAAAACIioDEOSZLd5W0zH6JYMW4irGTlvR7nzF1xKjI+VJTZq/4kAAACAkIra\nd9rjBreX/SUrWbERdPGo964hV0c3W+QAAACAAIqclDBK3vbakbRFThpaGZIUEe3AAQAAgEgVxWFo\nIEhEUvMEaWhlSKJ5AgAAABBIURuG0uwDF5hOjZA7hrxSBi9elQhDAAAAQCDFhrqAQFk4a6oyUxN1\n11/Hh7qUUblimxxhCAAAAAiYqA1DqfZ4PXBvTqjLGDW2yQEAAADBEbXb5CKVt/GDJNmTrNf5TAAA\nAABjQRgKM7HmGN+KkJ1ucgAAAEDAEIbCkPfcENvkAAAAgMAhDIWhVMIQAAAAEHCEoTCUPdGuBKtZ\n6SkJoS4FAAAAiFpR200ukj0+/1/0n//6T7IlWEJdCgAAABC1CENhyGoxyzqOVSEAAAAgkNgmBwAA\nAMCQCEMAAAAADIkwBAAAAMCQCEMAAAAADIkwBAAAAMCQCEMAAAAADIkwBAAAAMCQCEMAAAAADIkw\nBAAAAMCQCEMAAAAADIkwBAAAAMCQCEMAAAAADIkwBAAAAMCQCEMAAAAADIkwBAAAAMCQCEMAAAAA\nDIkwBAAAAMCQCEMAAAAADIkwBAAAAMCQCEMAAAAADIkwBAAAAMCQCEMAAAAADIkwBAAAAMCQCEMA\nAAAADIkwBAAAAMCQCEMAAAAADIkwBAAAAMCQCEMAAAAADIkwBAAAAMCQYoP5Yr29vVq9erXq6urU\n19enFStWKD8/P5glAAAAAICkIIeh/fv3KyEhQXv37tWZM2e0atUq7du3L5glAAAAAICkIIehhQsX\nav78+ZKk1NRUtbS0BPPlAQAAAMAnqGHIYrHIYrFIknbt2qWFCxcG8+UBAAAAwMfk8Xg8gRh43759\nqqiouOK5Z599VoWFhdqzZ4+++uorbdu2TWaz+brjVFVVBaI8AAAAAFHkZnoRBCwMXcu+fft06NAh\nbdmyRXFxccF8aQAAAADwCeo2ubq6OpWXl+u9994jCAEAAAAIqaCGoYqKCrW0tOipp57yPbdjxw7f\nOSIAAAAACJagb5MDAAAAgHAQE+oCAAAAACAUCEMAAAAADIkwBAAAAMCQgtpAYTTWr1+vmpoaSdLq\n1auVm5sb4ooQjYqLi1VdXa3e3l4tXbpU06dP14oVK9Tf36+MjAwVFxfT+RB+1dXVpQULFuiZZ57R\nzJkzmW8ImP3796u0tFRms1nPPfecbrvtNuYbAqK9vV0rV66U0+lUd3e3li9frmnTpjHf4HenT5/W\n8uXL9cQTT2jx4sVqaGgYdp7t379fu3fvVkxMjB555BE99NBD1xwzLFeGjh8/rvPnz6usrExFRUUq\nKioKdUmIQpWVlTpz5ozKysq0fft2FRUVadOmTXrssce0Z88eZWdn64MPPgh1mYgyb731llJTUyWJ\n+YaAaW5u1pYtW/T++++rpKREhw8fZr4hYD766CNNnTpVu3fv1qZNm7Ru3TrmG/yus7NTGzZs0KxZ\ns3zPDTfPOjo6tHXrVu3cuVPvvvuudu3apdbW1muOG5ZhqLKyUnPnzpUkTZs2Ta2trWpvbw9xVYg2\nM2bM0JtvvilJSk5OVmdnp06cOKE5c+ZIku6//34dO3YslCUiyvz88886e/asZs+eLWngBz/MNwTC\nsWPHVFBQoMTERGVkZOiVV15hviFg0tPT1dLSIklqbW1VWloa8w1+FxcXp5KSEo0fP9733HDzrKam\nRrm5ubLZbLJarcrLy1N1dfU1xw3LMORwOHw/OZWktLQ0NTU1hbAiRCOz2azExERJA3dgzZ49Wx0d\nHb57r9LS0tTY2BjKEhFlNm7cqFWrVvked3Z2Mt8QEPX19erq6tLTTz+txYsX69ixY8w3BMyDDz6o\nhoYGzZs3T48//rhefPFF5hv8zmw2X7XVcrh55nA4lJaW5vuc9PT06+aIsD0zdDmPxyOTyRTqMhCl\nvvjiC3344YcqLS3VvHnzfM9zBRf86eOPP9Y999yjSZMmSbp6fjHf4E8ej0ctLS3asmWL6uvrtWTJ\nkqs+DvjLJ598ookTJ+rtt9/W6dOntWbNmivetzHfEAzXmmc3mn9hGYYyMzPlcDh8jxsbG5WRkRHC\nihCtjh49qpKSEpWWlspmsykxMVHd3d2Ki4vTxYsXlZmZGeoSESWOHDmiuro6ff7557pw4YLi4uKU\nlJQkt9stq9XKfINfjR8/Xnl5eYqJidGUKVOUlJQki8XCfENAnDx50neO44477tCFCxeUkJDAfEPA\nDfe+7c854uLFi8rLy7vmGGG5Ta6wsFAHDx6UJNXW1iorK8u3nQnwF5fLpeLiYpWUlMhut0uSCgoK\ndODAAUnSoUOHdN9994WyRESRN954QxUVFSovL9fDDz+sZcuW6d577/X9X8d8gz8VFhaqsrJSHo9H\nzc3N6uzsZL4hYLKzs/XDDz9IGtiimZSUpIKCAuYbAuLylZ7h3rfdfffdOnXqlFwul9rb21VdXa38\n/PxrjmfyhOna5euvv64TJ07IbDZr7dq1uv3220NdEqJMeXm5Nm/erJycHEmSyWTSa6+9pjVr1sjt\nduuWW27Rq6++KrPZHNpCEXU2b96syZMnq7CwUCtXrmS+ISDKy8tVUVEhSVq2bJmmT5/OfENAdHR0\n6KWXXtKlS5fU29ur559/XlOnTmW+wa++//57vfzyy7p06ZLMZrNSUlK0fft2rVq16qp5dvDgQZWW\nlspkMmnJkiVasGDBNccN2zAEAAAAAIEUltvkAAAAACDQCEMAAAAADIkwBAAAAMCQCEMAAAAADIkw\nBAAAAMCQCEMAAAAADCk21AUAALBx40bV1NSou7tbtbW1vtvCq6ur9eWXX3J7PQAgILhnCAAQNurr\n6/Xoo4/qyJEjoS4FAGAArAwBAMLGn38+N2fOHO3cuVPfffedjh49Kkn68ccftXDhQvX09Ojbb7+V\nJL3zzjtKSEjQp59+qj179sjj8SgtLU3r1q1TSkpK0L8OAEBk4MwQACCsmUwmSVJtba2Ki4u1Y8cO\nbd26VbNmzVJZWZksFou+/vprNTQ0qKSkRDt37tTevXs1Y8YMlZSUhLh6AEA4Y2UIABDWvKtF06dP\nl8ViUVZWlvr7+5Wfny9JmjBhgtra2nTy5Ek1NTXpySeflCT19PRo8uTJIasbABD+CEMAgIhgNpuv\neBwTM7S5wePxyGq16q677tK2bduCXRoAIEKxTQ4AEPFMJpNyc3NVU1Mjh8MhSfrss890+PDhEFcG\nAAhnrAwBAMKK94yQ98+X/xruc7wyMzO1evVqLV26VAkJCUpISNCGDRuCUjMAIDLRWhsAAACAIbFN\nDgAAAIAhEYYAAAAAGBJhCAAAAIAhEYYAAAAAGBJhCAAAAIAhEYYAAAAAGBJhCAAAAIAh/T9cl/NG\nPRg71wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = np.mean(B)\n", "\n", "plt.plot(B)\n", "plt.hlines(m, 0, len(B), linestyles='dashed', colors='r')\n", "plt.xlabel('Time')\n", "plt.ylabel('Value')\n", "plt.legend(['Series B', 'Mean']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The computed mean will show the mean of all data points, but won't be useful for any forecasting of future state. It's meaningless when compared with any specfic time, as it's a collection of different states at different times mashed together. This is just a simple and clear example of why non-stationarity can screw with analysis, much more subtle problems can arise in practice." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Testing for Stationarity\n", "\n", "Now we want to check for stationarity using a statistical test." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def check_for_stationarity(X, cutoff=0.01):\n", " # H_0 in adfuller is unit root exists (non-stationary)\n", " # We must observe significant p-value to convince ourselves that the series is stationary\n", " pvalue = adfuller(X)[1]\n", " if pvalue < cutoff:\n", " print 'p-value = ' + str(pvalue) + ' The series ' + X.name +' is likely stationary.'\n", " return True\n", " else:\n", " print 'p-value = ' + str(pvalue) + ' The series ' + X.name +' is likely non-stationary.'\n", " return False" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 0.000498500723545 The series A is likely stationary.\n", "p-value = 0.948244716942 The series B is likely non-stationary.\n" ] } ], "source": [ "check_for_stationarity(A);\n", "check_for_stationarity(B);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sure enough, the changing mean of the series makes it non-stationary. Let's try an example that might be a little more subtle." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0QAAAHxCAYAAABNgXzBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAIwsAiIAAAAAI+v/A56QDYlyMT64AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set the number of datapoints\n", "T = 100\n", "\n", "C = pd.Series(index=range(T))\n", "C.name = 'C'\n", "\n", "for t in range(T):\n", " # Now the parameters are dependent on time\n", " # Specifically, the mean of the series changes over time\n", " params = (np.sin(t), 1)\n", " C[t] = generate_datapoint(params)\n", "\n", "plt.plot(C)\n", "plt.xlabel('Time')\n", "plt.ylabel('Value')\n", "plt.legend(['Series C']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A cyclic movement of the mean will be very difficult to tell apart from random noise. In practice on noisy data and limited sample size it can be hard to determine if a series is stationary and whether any drift is random noise or part of a trend. In each individual case the test may or may not pick up subtle effects like this." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 0.219590266677 The series C is likely non-stationary.\n" ] } ], "source": [ "check_for_stationarity(C);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Order of Integration\n", "\n", "###Moving Average Representation/Wold's Theorem\n", "\n", "An important concept in time series analysis is moving average representation. We will discuss this briefly here, but a more complete explanation is available in the AR, MA, and ARMA Models lectures of the [Quantopian Lecture Series](https://www.quantopian.com/lectures). Also check Wikipedia as listed below.\n", "\n", "This representation expresses any time series $Y_t$ as \n", "\n", "$$Y_t = \\sum_{j=0}^\\infty b_j \\epsilon_{t-j} + \\eta_t$$\n", "\n", "* $\\epsilon$ is the 'innovation' series\n", "* $b_j$ are the moving average weights of the innovation series\n", "* $\\eta$ is a deterministic series\n", "\n", "The key here is as follows. $\\eta$ is deterministic, such as a sine wave. Therefore we could perfectly model it. The innovation process is stochastic and there to simulate new information occuring over time. Specifically, $\\epsilon_t = \\hat Y_t - Y_t$ where $\\hat Y_t$ is the in the optimal forecast of $Y_t$ using only information from time before $t$. In other words, the best prediction you can make at time $t-1$ cannot account for the randomness in $\\epsilon$.\n", "\n", "Each $b_j$ just says how much previous values of $\\epsilon$ influence $Y_t$.\n", "\n", "\n", "###Back to Order of Integration\n", "\n", "We will note integration order-i as $I(i)$.\n", "\n", "A time series is said to be $I(0)$ if the following condition holds in a moving average representation. In hand-wavy english, the autocorrelation of the series decays sufficiently quickly.\n", "\n", "$$\\sum_{k=0}^\\infty |b_k|^2 < \\infty$$\n", "\n", "This property turns out to be true of all stationary series, but by itself is not enough for stationarity to hold. This means that stationarity implies $I(0)$, but $I(0)$ does not imply stationarity. For more on orders of integration, please see the following links.\n", "\n", "https://en.wikipedia.org/wiki/Order_of_integration\n", "https://en.wikipedia.org/wiki/Wold%27s_theorem\n", "\n", "###Testing for $I(0)$\n", "\n", "In practice testing whether the sum of the autocorrelations is finite may not be possible. It is possible in a mathematical derivation, but when we have a finite set of data and a finite number of estimated autocorrelations, the sum will always be finite. Given this difficulty, tests for $I(0)$ rely on stationarity implying the property. If we find that a series is stationary, then it must also be $I(0)$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take our original stationary series A. Because A is stationary, we know it's also $I(0)$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0MAAAHxCAYAAACvXWe4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(A)\n", "plt.xlabel('Time')\n", "plt.ylabel('Value')\n", "plt.legend(['Series A']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Inductively Building Up Orders of Integration\n", "\n", "If one takes an $I(0)$ series and cumulatively sums it (discrete integration), the new series will be $I(1)$. Notice how this is related to the calculus concept of integration. The same relation applies in general, to get $I(n)$ take an $I(0)$ series and iteratively take the cumulative sum $n$ times." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's make an $I(1)$ series by taking the cumulative sum of A." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0kAAAHxCAYAAAC4f/dxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A1 = np.cumsum(A)\n", "\n", "plt.plot(A1)\n", "plt.xlabel('Time')\n", "plt.ylabel('Value')\n", "plt.legend(['Series A1']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's make one $I(2)$ by taking the cumlulative sum again." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAAHxCAYAAABqL/0pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5R1gksgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A2 = np.cumsum(A1)\n", "\n", "plt.plot(A2)\n", "plt.xlabel('Time')\n", "plt.ylabel('Value')\n", "plt.legend(['Series A2']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Breaking Down Orders of Integration\n", "\n", "Conversely, to find the order of integration of a given series, we perform the inverse of a cumulative sum, which is the $\\Delta$ or itemwise difference function. Specifically\n", "\n", "$$(1-L) X_t = X_t - X_{t-1} = \\Delta X$$\n", "\n", "$$(1-L)^d X_t$$\n", "\n", "In this case $L$ is the lag operator. Sometimes also written as $B$ for 'backshift'. $L$ fetches the second to last elements in a time series, and $L^k$ fetches the k-th to last elements. So \n", "\n", "$$L X_t = X_{t-1}$$\n", "\n", "and\n", "\n", "$$(1-L) X_t = X_t - X_{t-1}$$\n", "\n", "A series $Y_t$ is $I(1)$ if the $Y_t - Y_t-1$ is $I(0)$. In other words, if you take an $I(0)$ series and cumulatively sum it, you should get an $I(1)$ series.\n", "\n", "\n", "###Important Take-Away\n", "\n", "Once all the math has settled, remember that any stationary series is $I(0)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Real Data\n", "\n", "Let's try this out on some real pricing data." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "symbol_list = ['MSFT']\n", "prices = get_pricing(symbol_list, fields=['price']\n", " , start_date='2014-01-01', end_date='2015-01-01')['price']\n", "prices.columns = map(lambda x: x.symbol, prices.columns)\n", "X = prices['MSFT']" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 0.666326790934 The series MSFT is likely non-stationary.\n" ] } ], "source": [ "check_for_stationarity(X);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look, certainly has the warning signs of a non-stationary series." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzwAAAHiCAYAAAAtXcmYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERFxWgp4RERERETEaf0/2SDlQvvDKioAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(X.index, X.values)\n", "plt.ylabel('Price')\n", "plt.legend([X.name]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's take the delta of the series, giving us the additive returns. We'll check if this is stationary." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 1.48184901469e-28 The series MSFT Additive Returns is likely stationary.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0QAAAHiCAYAAADIwwz0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X1 = X.diff()[1:]\n", "X1.name = X.name + ' Additive Returns'\n", "check_for_stationarity(X1)\n", "plt.plot(X1.index, X1.values)\n", "plt.ylabel('Additive Returns')\n", "plt.legend([X1.name]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seems like the additive returns are stationary over 2014. That means we will probably be able to model the returns much better than the price. It also means that the price was $I(1)$.\n", "\n", "Let's also check the multiplicative returns." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 8.05657888734e-29 The series MSFT Multiplicative Returns is likely stationary.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0oAAAHiCAYAAADWCjxHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X1 = X.pct_change()[1:]\n", "X1.name = X.name + ' Multiplicative Returns'\n", "check_for_stationarity(X1)\n", "plt.plot(X1.index, X1.values)\n", "plt.ylabel('Multiplicative Returns')\n", "plt.legend([X1.name]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seems like the multiplicative returns are also stationary. Both the multiplicative and additive deltas on a series get at similar pieces of information, so it's not surprising both are stationary. In practice this might not always be the case.\n", "\n", "##IMPORTANT NOTE\n", "\n", "As always, you should not naively assume that because a time series is stationary in the past it will continue to be stationary in the future. Tests for consistency of stationarity such as cross validation and out of sample testing are necessary. This is true of any statistical property, we just reiterate it here. Returns may also go in and out of stationarity, and may be stationary or non-stationary depending on the timeframe and sampling frequency.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Note: Returns Analysis\n", "\n", "The reason returns are usually used for modeling in quantitive finance is that they are far more stationary than prices. This makes them easier to model and returns forecasting more feasible. Forecasting prices is more difficult, as there are many trends induced by their $I(1)$ integration. Even using a returns forecasting model to forecast price can be tricky, as any error in the returns forecast will be magnified over time." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Cointegration\n", "\n", "Finally, now that we've discussed stationarity and order of integration, we can discuss cointegration.\n", "\n", "###Def: Linear Combination\n", "\n", "A linear combination of the time series ($X_1$, $X_2$, $\\dots$, $X_k$) is a new time series $Y$ constructed as follows for any set of real numbers $b_1 \\dots b_k$\n", "\n", "$$Y = b_1X_1 + b_2X_2 + \\dots + b_kX_k$$\n", "\n", "###Formal Definition\n", "\n", "The formal definition of cointegration is as follows.\n", "\n", "\n", "For some set of time series ($X_1$, $X_2$, $\\dots$, $X_k$), if all series are $I(1)$, and some linear combination of them is $I(0)$, we say the set of time series is cointegrated.\n", "\n", "####Example\n", "\n", "$X_1$, $X_2$, and $X_3$ are all $I(1)$, and $2X_1 + X_2 + 0X_3 = 2X_1 + X_2$ is $I(0)$. In this case the time series are cointegrated.\n", "\n", "###Intuition\n", "\n", "The intuition here is that for some linear combination of the series, the result lacks much auto-covariance and is mostly noise. This is useful for cases such as pairs trading, in which we find two assets whose prices are cointegrated. Since the linear combination of their prices $b_1A_1 + b_2A_2$ is noise, we can bet on the relationship $b_1A_1 + b_2A_2$ mean reverting and place trades accordingly. See the Pairs Trading Lecture in the [Quantopian Lecture Series](https://www.quantopian.com/lectures) for more information." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Simulated Data Example\n", "\n", "Let's make some data to demonstrate this." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Length of series\n", "N = 100\n", "\n", "# Generate a stationary random X1\n", "X1 = np.random.normal(0, 1, N)\n", "# Integrate it to make it I(1)\n", "X1 = np.cumsum(X1)\n", "X1 = pd.Series(X1)\n", "X1.name = 'X1'\n", "\n", "# Make an X2 that is X1 plus some noise\n", "X2 = X1 + np.random.normal(0, 1, N)\n", "X2.name = 'X2'" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0kAAAHxCAYAAAC4f/dxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJAEAAABAJ4QkAAAAAOjk/wOWcsrIySZLhAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(X1)\n", "plt.plot(X2)\n", "plt.xlabel('Time')\n", "plt.ylabel('Series Value')\n", "plt.legend([X1.name, X2.name]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because $X_2$ is just an $I(1)$ series plus some stationary noise, it should still be $I(1)$. Let's check this." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 3.06566830522e-19 The series Z is likely stationary.\n" ] } ], "source": [ "Z = X2.diff()[1:]\n", "Z.name = 'Z'\n", "\n", "check_for_stationarity(Z);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks good. Now to show cointegration we'll need to find some linear combination of $X_1$ and $X_2$ that is stationary. We can take $X_2-X_1$. All that's left over should be stationary noise by design. Let's check this." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 1.03822288113e-18 The series Z is likely stationary.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0wAAAHxCAYAAABeVjw1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Z = X2 - X1\n", "Z.name = 'Z'\n", "\n", "plt.plot(Z)\n", "plt.xlabel('Time')\n", "plt.ylabel('Series Value')\n", "plt.legend(['Z']);\n", "\n", "check_for_stationarity(Z);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Testing for Cointegration\n", "\n", "There are a bunch of ways to test for cointegration. This [wikipedia article](https://en.wikipedia.org/wiki/Cointegration) describes some. In general we're just trying to solve for the coefficients $b_1, \\dots b_k$ that will produce an $I(0)$ linear combination. If our best guess for these coefficients does not pass a stationarity check, then we reject the hypothesis that the set is cointegrated. This will lead to risk of Type II errors (false negatives), as we will not exhaustively test for stationarity on all coefficent combinations. However Type II errors are generally okay here, as they are safe and do not lead to us making any wrong forecasts.\n", "\n", "In practice a common way to do this for pairs of time series is to use linear regression to estimate $\\beta$ in the following model.\n", "\n", "$$X_2 = \\alpha + \\beta X_1 + \\epsilon$$\n", "\n", "The idea is that if the two are cointegrated we can remove $X_2$'s depedency on $X_1$, leaving behind stationary noise. The combination $X_2 - \\beta X_1 = \\alpha + \\epsilon$ should be stationary." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "####Real Data Example\n", "\n", "Let's try on some real data. We'll get prices and plot them first." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "symbol_list = ['ABGB', 'FSLR']\n", "prices = get_pricing(symbol_list, fields=['price']\n", " , start_date='2014-01-01', end_date='2015-01-01')['price']\n", "prices.columns = map(lambda x: x.symbol, prices.columns)\n", "X1 = prices[symbol_list[0]]\n", "X2 = prices[symbol_list[1]]" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzwAAAHxCAYAAACoH7mtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(X1.index, X1.values)\n", "plt.plot(X1.index, X2.values)\n", "plt.xlabel('Time')\n", "plt.ylabel('Series Value')\n", "plt.legend([X1.name, X2.name]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now use linear regression to compute $\\beta$." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "const 26.609769\n", "ABGB 1.536686\n", "dtype: float64" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X1 = sm.add_constant(X1)\n", "results = sm.OLS(X2, X1).fit()\n", "\n", "# Get rid of the constant column\n", "X1 = X1[symbol_list[0]]\n", "\n", "results.params" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 0.000972948552814 The series Z is likely stationary.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzwAAAHxCAYAAACoH7mtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wcgfyT2oWfO7wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b = results.params[symbol_list[0]]\n", "Z = X2 - b * X1\n", "Z.name = 'Z'\n", "\n", "plt.plot(Z.index, Z.values)\n", "plt.xlabel('Time')\n", "plt.ylabel('Series Value')\n", "plt.legend([Z.name]);\n", "\n", "check_for_stationarity(Z);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see here that the resulting $Z$ was likely stationary over the time frame we looked at. This causes us to accept the hypothesis that our two assets were cointegrated over the same timeframe." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#This is only a forecast!\n", "\n", "Remember as with anything else, you should not assume that because some set of assets have passed a cointegration test historically, they will continue to remain cointegrated. You need to verify that consistent behavior occurs, and use various model validation techniques as you would with any model.\n", "\n", "One of the most important things done in finance is to make many independent bets. Here a quant would find many pairs of assets they hypothesize are cointegrated, and evenly distribute their dollars between them in bets. This only requires more than half of the asset pairs to remain cointegrated for the strategy to work. For more information on pairs trading, see the pairs trading lecutres in the Quantopian Lecture Series.\n", "\n", "[www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Existing Tests\n", "\n", "Luckily there are some pre-built tests for cointegration. Here's one. Read up on the [documentation](http://statsmodels.sourceforge.net/devel/_modules/statsmodels/tsa/stattools.html) on your own time." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-4.0503429043747827,\n", " 0.0060792512281641932,\n", " array([-3.4565689 , -2.87307862, -2.572919 ]))" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from statsmodels.tsa.stattools import coint\n", "\n", "coint(X1, X2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company. In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*" ] } ], "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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }