{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Introduction to Pairs Trading\n", "By Delaney 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", "\n", "\n", "Pairs trading is a classic 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. If we can model this economic link with a mathematical model, we can make trades on it. We'll start by constructing a toy example.\n", "\n", "Before we proceed, note that the content in this lecture depends heavily on the [Stationarity, Integration, and Cointegration lecture](https://www.quantopian.com/lectures/integration-cointegration-and-stationarity) in order to properly understand the mathematical basis for the methodology that we employ here. It is recommended that you go through that lecture before this continuing." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": 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\n", "# just set the seed for the random number generator\n", "np.random.seed(107)\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## 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": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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IM1LiI5GWGIV/ftiIr/38few+1nLJimljhxERaoW774xmRxAEFGbFodc4Nqse\nQCIiIm8wtEwhTqfBd79wFdRKOZ7eeRqf+9E7+N0/TqOte+iS54miiBffrYEgAJ+8rnDS95LLZcjV\nx6C504Rxm+d9MkTkueffOg+7Q8TnP7YYv/rmJtx70yKMWGx4/C+VeOTXH6Kx3QjLuB2GbjNy9TrI\nZEKwS573irJ5yCQREQUGQ8s0CjJi8eS3rsNd1xdCqZBh174GfO0/d+N7Tx3AgVPtsNkdOHquCw0G\nI9YvT0dminbK98rLiIHdIaK5Y2jK5xDR7DQYjNhXaUBBRgzWLkuDUiHHndcV4jff3ow1S9NQ1diP\nb/zPB/jv5yvgELk1zFdcoaWGfS1ERORnimAXIHVJcRH4zNZFuGtLEQ6f6cCbB5twsrYXJ2t7Ea9T\nQ6GQAwA+uWXyVRaXi5vxCzJj/V43UTh57s1zAIBtNxVDEC6soCTHReLfPleG4+e78du/n8Kh0x0A\n2ITvKwUZsRAE4DxXWoiIyM8YWjykVMiwfkU61q9IR0unCW8easLuY60YMVmwbpke2anT/xKUnz7R\njM++FiKfOtvQh2PnurA0PxElhUmTPmflwmTseHgT/v5BPY5Xd2N1cWqAqwxNkRolslK0qGsbhN3u\ngFzOxXsiIvIPhpZZyErV4b5bl+GzNxXjRG0PluQnzvia7DQt5DIBDZwgRjQlh0PEu+XNKMqOR07a\nzKshoiji2TeqAAD3fnTRJassl1Mq5Pjk9YX45PXTr4qSdwqz4tDcOYSWriFuuyMiIr/hbbE50KgV\nuHpJGqIjlDM+V6mQIztVh8Z2I+x2RwCqI5p/9lS0YsfLJ/HtHfs9OrSw4nw3qhr7cdXiVCzMjg9A\nhXS5ool/dzbjExGRPzG0BFB+RgysNgfaus3BLoVIckYtNjz7RhWUChnGrHb84OlD0wYXh8O5yiII\nwLatiwJYKV2ME8SIiCgQGFoCiH0tRFN7ZU8t+k0W3L5pAb55d+mMweXDkwY0tpuwcWUGsj3YSkb+\nkZmiRYRajmpOECMiIj9iaAmgvIsmiBHRBd0DI/j7njrE6zS4fVMB1pekTxtcbHYH/vzWechlAu65\ncWGQqiYAkMsELMiMQ1v3EIZHx4NdDhERhSiGlgDK1esgCEA9m/GJLvGn16tgtTnw2Y8ugkbtnA9y\neXC5+CyQ98pb0NE7jBuvzkZqQlSwyqYJhVlxEEWgtpWrLURE5B8MLQGkUSuQkRyNBoMRDocY7HKI\nJOF8U7/xRrtkAAAgAElEQVTzYMjMWFy7MvOSx9zBxWLD9397EDUtA7CM2/GXd6qhUspx15aiIFVN\nFyvMmuhr4RYxIiLyE4aWAMtPj8WoxYbO/uFgl0IUdA6HiP/7xxkAwJduXgKZ7MqRxetL0vHNe1a5\ng8tvXjmJftMYbl6fh3idJtAl0yRczfg1zdz6SkRE/sHQEmB5rmZ8bhEjwr7KNlS3DOCa5XoszkuY\n8nnrS9Lx0D3OFZf3j7YiKkKJ2zcVBLBSmk68ToOkuAjUtAxAFLmKTEREvsfQEmD5Ga7QwjuSFN7G\nrDb86XXniOPPfWzxjM/fUJKBh+4phVolx7aPLER0pCoAVZKnCjPjMGi2oGdwNNilEBFRCFIEu4Bw\nc2GCGFdaKLz9/YN69BrHcOd1C5ASH+nRazaUZGDtMj0Uct5vkZrcdB0OnGpHU7sJyXGe/f8kIiLy\nFH/yB1h0hBKpCZFoMBi5jYLCVp9xFK/sqUWsVo07Ni/w6rUMLNKUq3euIjd28IYMERH5Hn/6B0Fe\negxMw1b0Do4FuxSioHj2jXOwWO24d+siRGqUwS6HfCBn4oDPpnZTkCshIqJQxNASBPk8ZJLCWE3L\nAHYfa0WePgabV2cFuxzykaTYCERFKNHI0EJERH7A0BIEF5rxuY2CwsslI44/sQTySUYc0/wkCAJy\n0nTo6DVjzGoLdjlERBRiGFqCwDX2uIHN+BRm3jzYiHNN/Vi7LA1LCxKDXQ75WG6aDg4RaOkcCnYp\nREQUYhhagiBOq0G8TsPtYRRW2nvNeOb1KmgjlfjqrcuCXQ75Qc5EM35TB7eIERGRbzG0BEl+Rgz6\njGMYGGIzPoU+h0PEEy9WwmK146u3LUMcT7IPSbl6ZzN+YztXkYmIyLcYWoLE1YzPLWIUDnbtb0BV\no3Nb2PoV6cEuh/wkK1ULQeBKCxER+R5DS5C4mvEZWijUtXUP4bk3qhATrcL9ty+HILD5PlRpVAro\nE6PQ1G7iOVRERORTHoUWi8WCLVu2YOfOnbDZbHjooYdw55134vOf/zyGhthwORvuscecIEYhzO4Q\n8b8vVsJqc+Brty9HTLQ62CWRn+WkxcA8Os5zqIiIyKc8Ci1PPvkkYmOdv2T/9a9/RUJCAl5++WXc\ndNNNOHbsmF8LDFWJsRpoI1VsxqeQtvODOlQ3D2BDSTrWLdMHuxwKAFdfS1MHb8gQEZHvzBhaGhoa\n0NjYiI0bN0IURezZswcf//jHAQB33nknNm3a5PciQ5EgCMjPiEFn3wjMo+PBLofI55o7TfjzW+cR\np1XjPk4LCxs5aa5mfPa1EBGR78wYWh577DE88sgj7r8bDAbs3bsX27Ztw0MPPQSTiT+YZivffV4L\nV1sotNjsDvzvX47DZnfggTuWQxelCnZJFCC5HHtMRER+oJjuwZ07d2L16tXQ6y9s6xBFEXl5edi+\nfTt+85vf4KmnnsK3vvWtGS9UUVEx92pDjMo+CgB444NTGDfGBrma0MTPXXDsPWNCXZsJy3MjobC0\no6KiPdglBVQ4f+5EUYRaKeBcQ1dY/zsEA/+9KRj4uaNAmTa07N27F21tbXjnnXfQ2dkJtVqNxMRE\nlJWVAQCuueYa7Nixw6MLlZaWzr3aELNkmR1/P/wmGrpFrFy5klOVfKyiooKfuyBobDdi/0t7kRCj\nwSNfvBbREcpglxRQ/NwB+Yf343xTP5YsWwG1Uh7scsICP3cUDPzckT9MFYSnDS2PP/64+887duxA\nRkYGenp6sG/fPtx22204e/YscnNzfVtpGFEr5Vi1KAUfnmxHU4fJva2CaD578m8nYbOL+JdPrgi7\nwEJOufoYVDX2o7VzCAWZXEUmIqK58/qclnvvvRd79+7F3Xffjffffx9f+cpX/FFX2Fg7MVHpwKnw\n2j5Dockybkd1ywAW5cSjdGFKsMuhILnQjM8JYkRE5BvTrrRcbPv27e4/P/HEE34pJhytWpQClUKG\ng6c68JmPLAp2OURz0tE7DFF0noxO4evC2GM24xMRkW94vdJCvhWhVqCkKBmtXUNo7fLuoE6b3YHB\nIYufKiPynqHbDADISI4OciUUTFmpOggCxx4TEZHvMLRIwLrlzi1iB097t0XsqVdP4Us/fZfBhSSj\nrccZvNOTGFrCWYRagdSEKDR1GCGKYrDLISKiEMDQIgGri1OhkAs4eKrD49f0GUfxXnkLLFY7aloH\n/FgdkedcKy3pXGkJe7l6HYZGxtFnHAt2KUREFAIYWiQgOkKJ5QuS0GAworNv2KPXvH6gEXaH8w5m\ng4HNriQNhh4zFHIBKXGRwS6FgiwnjYdMEhGR7zC0SIRripgnqy1jFhvePNiECLVzjkJ926BfayPy\nhCiKaOs2Iy0xGnI5v7WEO1czPieIERGRL/A3C4m4anEqZDLBo76W94+1wjw6jk9syEdMtIorLSQJ\ng0MWjIzZ2IRPAC6MPW5iMz4REfkAQ4tExESrsSQvAdXNA+gdHJ3yeQ6HiH/sq4dSIcNN63KQnx6L\n7oFRDI1YA1gt0ZXaeib6WdiETwCS4yIRoVagkdvDiIjIBxhaJMS1RezQ6am3iJVXdaKjdxjXrsxA\nnFaDvHTnvnGutlCwuZvwGVoIgEwmICdNB0OPGdZxe7DLISKieY6hRULWLE2DIAAHTk29RWzn3noA\nwCc25gMAQwtJhqGHZ7TQpXL0OjgcIlq8PIOKiIjocgwtEhKv02BhdjyqGvswMHTlmNDa1gGcbejD\nyqJkZKc694vnSzC0tHSa8Md/nsX2X+zGvsq2YJdDAdLGccd0mVz9xAQx9rUQEdEcKYJdAF1q7TI9\nzjX14/CZTmxdk3PJY//Y2wDgwioLAKQmRCFCrUC9IbgTxIxmC/ZWtmHPsVbUtV0IUK9+UIcNJRlB\nrIwCxdBjhi5KBW2kKtilkETkTjTjN3ZI56YKERHNTwwtErN2aRp+v+sMDp5qvyS09AyM4sOTBmSl\nalFSmOT+ukwmIFevw/mmfoxZbdCoAve/dNxmR/nZLuw+1oqK812wO0TIZAJWF6dg86pMvH2oGSdq\ne9DZN4zUhKiA1UWBN25zoKt/BEVZccEuhSQkK1ULgCstREQ0dwwtEpMcH4mCzFicruvF0IjVfdf6\n9QMNsDtE3LIhH4IgXPKa/IxYVDX2o6nDhIXZ8QGp0zw6jm/8zwfo6h8B4Oyt2bwqExtK0hGn1QAA\nRsZsOFHbg4OnOnDbpoKA1EXB0dk3DIdDZD8LXSJSo0RaQhQa200QRfGK711ERESeYk+LBK1dmga7\nQ8SRM50AgJGxcbx1qAmxWjWuLb1yq1WePvB9LX97vwZd/SPYWJKBX31zE57412vxiQ357sACXHT2\nzDSDBSg0tHU7G60ZWuhyOXodhkas6Ddd2adHRETkKYYWCVo3MfrYddDke0dbMDxmw0fX5UKpkF/x\n/PyMwIaWnoFR7NrfgMQYDf7lrhXuQ+QuFxOtxtL8BFS3DKBnYOqzZ2j+a+O4Y5qCu6+FW8SIiGgO\nGFokSJ8UjZw0HSqre2AesWLXvgaoFLIrGvNdMlO0UMhlqA9QaHn+7XMYtzlwz0cWQq28MkRdbJ37\n7BmutoQy17hjTg6jy+XonaGliYdMEhHRHDC0SNTapWmw2R3Y8fJJdPWPYNOqTMREqyd9rkIuQ3aa\nFk3tJtjsDr/W1dRhwu5jrchO1WLTqqwZn3+1B2fP0Pxn6DZDLhM4cIGukJPGscdERDR3DC0StXZi\nhcL1y/4nNuRP93Tk6WNgszvQ6udD3P70ehVEEfjsR4shl83cVBun1aA4NwHnmvq5p32eGDCNob7N\nuxHahh4zUhMioZDzWwpdKiU+EhFqOcceExHRnPA3DInKStUiPcl513rVohRkpminfX5+RiwA//a1\nnK7rxbFzXViSn4BVi1I8ft26ZXqIInDodIffaiPf2fHySXzzl/thNFs8er7RbMHQyDjSk6b/jFJ4\nkskEZKfq0NZtxrjNHuxyiIhonmJokShBEHBtaSYEAbjt2pnHBeen+7cZXxRFPPPPswCAz39ssVej\nS9cuSwMAThGbB+x2B07X98Bmd+B0fa9Hr2E/C80kVx8Dh0NES6d/V4KJiCh0MbRI2J2bF+CpR67D\n0oLEGZ+bk6aDIMBvzfgfnmxHbesg1i3Xo9DLAwQTYiKwMDsOZ+p7Pb57T8HR1GHCqMV5N/xUnYeh\nhZPDaAZsxg9dvYOj+OVLlRgc4vd2IvIvhhYJk8tl0Cd69ougRq1AelI0GtuNcDhEn9YxbnPguTfO\nQS4TcO9Ni2b1HuuW6+EQgcNnuEVMyqoa+91/Pu1paJlYaeEZLTSVHI49DllvH27Gu+Ut2LW/Ptil\nEFGIY2gJIXnpMRgZs6Gzf9in7/v24SZ09A1j65ocj0PU5dYsnRgscJJbxKSsqrEPgHPVpK3b7NHw\nBNcZLQwtNBVXaGliM37IqWkZAAB8cLzN5zfMiIguxtASQvzR1zIyNo4X361GhFqOu7YUzfp9UuIj\nUZAZi1N1vRgasfqsPvIdURRR1diPOK0aW8qc46w9WW1p6zYjOkIJXZTK3yXSPBWpUSIlPhINBiOs\n42zGDxWiKLpDS8/AKM5O3PQgIpoN84gV3/3NgSkfZ2gJIXl+CC2vflAHo9mK2zYtQKx28nNiPLVu\nmR52h4gjZzp9VB35Ulf/CPpNYyjOTXD3Uc3UjG+zO9DZN4z05GivhjNQ+FmzNA1DI+N44e3zwS6F\nfKS9dxjm0XGkxEcCAPYcaw1yRUQ0n52o7Zm2n5ahJYTkpTvHHvuqGb/fNIade+sRp1XjlhnOifGE\na4oYD5qUJlc/S3FuPPLTYxCpUczYjN/VPwK7Q2QTPs3onhsXIiU+En//oM59d57mt+pm5//Hj6/P\nQ2JsBA6caoeFK2lENEsz3XRnaAkhuigVkuIifLbS8pd3qmGx2vHpGxdCo1bM+f30idHI1etwoqYH\nw6PjPqiQfMnVz1KcmwC5XIbFeQno6B1Gz8DolK8xsJ+FPKRRK/D1u1bAIQJPvFTJM1tCgCt8LsyO\nw7UrMzAyZkP5Wa6kE9HszDSshaElxOTpYzA4ZJnz6fOdfcN490gz0pOicMNEf4MvrFumh83uwNEq\n/mCTmqrGfmhUcuROjKdd5t4i1jPla9o47pi8sKwgCVvX5KClcwgvvVsT7HJojqpbBqCQy5CXHoNN\npRkAgD0V3CJGRLPTYDAiIUYz5eMMLSHG1Yxf3zY4p/f52+5a2B0iPnXDQsjlvvuYrF02MUWMW8Qk\nZWjEitauISzMjnf//15WkARg+vNaeLAkeetzHytGUlwEXt5dO+fvUxQ81nE7mtqNyEvXQamQIytV\nh/yMGBw/3+3VeVxGswUna6a+MUJE4cFodt5wz9XHTPkchpYQ44tm/O7+EbxX3oL0pCisX5Huq9IA\nAJkpWmSmaHH8fDdGLTafvjfN3rkmZz/Lotx499dy0nTQRiqnnSBm6DFDJgD6xCi/10ihIVKjxPY7\nVsDhEPHES5Ww2R3BLolmocFghM0uXnLY8KbSTNgdIvZVGjx6D4dDxI9/fwTff/ogugdG/FUqEc0D\nje3O31tdv8dOhqElxPiiGd+1yvLJ64sgl/l+ItS6ZXpYbQ4cO9fl8/em2alqcPWzXAgtMpmAJfmJ\n6B4YRWff5Gf/GLrNSImPglIhD0idFBpWLkzGlrIsNLab8LfdtcEuh2bh/EQTftFFoWVDSTpkMsHj\nLWK7j7WiumUAogi0T6zaElF4ajA4+1nyuNISPhJjNdBFqWa90tIzMIp3y5uRlhiFjSW+XWVx4RQx\n6alq7IdMJlxy1xQAluZP9LVMstpiHrFi0Gzh1jCalS/cvATxOg1eercaTR3TN1+S9Lia8AuzL3zP\niNNqUFKYhNrWQbR1D037+uHRcfzp9Sr337v6udJCFM5cKy256bopn8PQEmIEQUBeegy6+kdgnsWE\nrlf21MJmF/HJ6wp92stysZw0HfSJUag414UxK7eIBZt13I7a1kHk6XWI1CgveczVjD9ZX0tbD5vw\nafaiI5TYfudy2OwinnjxOOzcJjavVLcMQBupQlrCpVtDN5VmAgD2VLRN+/oX363GoNmClUXJABha\niMJdQ7sREWo5UuOn3m7O0BKCXM34jV6utvQZR/H24WakxEfi2olJMP4gCALWLtNjzGrHb145hePV\n3ZztH0S1rYOw2R0ozk244rGsVC1iolU4VdcLURQvecw17pgrLTRbq4tTsak0A3VtRrz6QV2wyyEP\nDQ5Z0N0/gsKs2CsOlb1qSSoi1Ap8UNEKh0Oc9PWtXUN4bX8DUhMicd+tSwEAXX0MLUThyjpuR1u3\nGTlpMZBN05bA0BKCXE1M9QbvJvO8sqcONrsDn7y+EAo/rbK4bLkqC7ooFXYfa8WjTx/C3d97A48+\nfQg799ajpdN0xS/I5D8Xn89yOUFw9rX0m8bQ3ntpX4trclgGV1poDr58y1LEatV44e1qtHZNv6WI\npMG1NawoO/6KxzQqBdYuS0P3wKj7e8vFRFHE038/DbtDxJduXoKUhCgo5AJXWojCWEvnEBwO0X3k\nwlQYWkLQhdDi+UpLv2kMbx9qQnJchHt535/0idF45vs34EdfWYNbNuYjLTEKx6u78ftdZ/DAL/bg\nCz9+B7955STGOGHM76oar5wcdrGptoi1caWFfEAbqcL9ty+Dze7AU6+eCnY55IHqliub8C823Rax\nw2c6cKK2ByuLklG2OBVymYCkuEiGFqIw1uDB5DAAmPsx5yQ5+sRoaFRyr5rxX91TB6vNgTuvK4RS\nEZgsq1LKUVKUjJKJPc19xlFUVvegsroblTU9eONgE+JjNLjr+qKA1BOOHA4R55r6kZYQhXjd5Ac6\nuQ+ZrOvF1jU57q8besyIUCsQp1UHolQKYWuW6lGcG4/T9b0wmi2IieZnSspqJiaHFWbFTvr40vxE\nJMZocOCkAffduhQqpXO6oGXcjv/bdRZymYAv37LEvbUsJT4SJ2p6MGaxQaPmryVE4cbVzjDdGS0A\nV1pCkkwmIFcfg7Zus0e9IgNDY3jzUBMSYyNw3eos/xc4hYSYCFxfloWHt63C7/7teijkMnx4ghPG\n/Km1awjDo+NTrrIAzkb7eJ0apy/qa7E7RHT0DiM9OfqKPe1Es7FqUQpEEajkQYOS5nCIqGkdQHpS\nFKIjVZM+RyYTsHFlBobHbCiv6nR//dU9dejuH8HNG/KRkax1fz0lPhIA0MWzWojCUkO7ETIByE7j\n9rCwlJ8eA4dDRLMHo0T//kE9rON23HndgoCtsswkKkKJ0oXJaOowoaWT41D9Zbp+FhdBELA0PwmD\nZgtaJnoOegZGMG5zIINbw8hHXFOkKqu7g1wJTcfQY8bImO2K8eiX27RqYovYMecWse7+Efzt/RrE\nadX41JbCS57rDi3cIkYUdhwOEY3tJqQnR0OtnP7MN2n8hko+52lfi9FswRsHG5EQo8GWsuCtskxm\n/QrnOTH7udriN65+luJpVloAYGnBpee1uPpZ2IRPvpKrj0FstBqV1d0cxCFh1ZMcKjmZ7FQd8vQx\nqDjfBaPZgj+8dhZWmwOf+9jiK0aru0accoIYUfjpHhjBqMU249YwgKElZLlCy0x9LX//oA4Wqx23\nb1oguVPNyxanQqWUY/8JA3+J8ZOqxj5oI1Uzrphc3ozPJnzyNZlMwIqiJAwMWXjYpIRNdqjkVDat\nyoDdIeI3r5zCgVPtWJgdh2tXXjlOPyXBudLS2T98xWNEFNpcv6fmMbSEr6xUHRRyAXVtg7BPMSvf\naLbg9QONiNepcePV2QGucGYRagVWL0qBocfMX2L8oGdgFN0DoyjOjZ+xLyU1IRKJsRE4U98Lh0N0\njzvmwZLkS64tYhXnuUVMqqpbBqBUyJCTNvMvGBtKMiATgAOn2iEIwH23Lpv0DAb39jCutBCFHdfk\nsNwZJocBnB4WspQKGbJSdahrHcSt39qF6AgltJEqaKNU0EaqoItSod84hjGrHZ/Zusg93UVq1q9I\nx4FT7dh/wuDR0iF57lzTzP0sLoIgYFlBInYfa0VzpwmGbjMEAdAztJAPlRRe6Gu5Y/OCIFdDlxuz\n2tDUYUJhZqxH/Y/xOg1WFCbjeHU3brgqGwWZk08b00WpoFHJ2dNCNA+cquuBXCbD4ryZf3fwRKPB\neVN6pjNaAIaWkLZt6yK8c6QZpmErTMNWDI1Y0dU/csnKS7xOI8lVFpfSRcmIUDu3iG3buoiTqnzI\n3c+SN30/i8vSfGdoOVXXC0PPEJJiI2ZsmiPyRqxWjbz0GFQ19mHUYkMEx99KSn2bEQ6H6NHWMJe7\nbyyCNlKFe28qnvI5giAgJd55Vosoivw+TyRRDoeIn/7xKGSCgOf+/UbIfXAQeUO7EXFaNeK0kx+7\ncDH+RAhhqxalYNWilEu+JooiRi02d5BJio2ARiXdj4FGpUBZcRr2Vrahrm0QCzI9/2FJ06tq7INK\nIUN++uR3Py/n6ms5cqYT/SYLSgqT/FkehanShcloMBhxur4XZcWpwS6HLuJpE/7FirLjUZQ9842R\n1IQoNHcOYWhkHLqoyUcpE1FwGXrMGB4dBwCcbx6Y82rL0IgVvYOjWLkw2aPns6clzAiCgEiNEqkJ\nUSjMikPcFAcKSsn6FXoAnCLmS8Oj485tHtlxHo+5To6PRGpCJE7XO5vx2YRP/uA6bLaSfS2S427C\n9yK0eOrC2GM24xNJVW3rgPvPR852TvNMzzS2e96ED3gYWiwWC7Zs2YKdO3e6v7Z//34sXLhwFiUS\neWflwmREaRTYf8IAxxRDBcg755v7IYqe9bNcbGl+ovvPHHdM/rAwOx4RajmO87wWyaluGUBMtMod\nMHyJZ7UQSV9Ny6D7z+U+CC0NE/0sPg0tTz75JGJjL2whsVqtePrpp5Gc7NlyDtFcKBVyXLUkDb2D\no+7tCTQ3np7PcjnXFjEAl5xoTeQrSoUMywqS0N47jM4+3nWXin7TGHoHR1GYFeeXnhNOECOSvtrW\nAchlAlZNTHZt6x6a0/u5VlpyPGjCBzwILQ0NDWhsbMTGjRvdX3vqqaewbds2KJXKaV5J5DvugyZP\nGoJcSWg419gPQXDe1fbG0otCC7eHkb+4t4hxtUUyZtPP4o2UhIkDJrnSQiRJ4zYHGgwm5Op1uGa5\nc9t++dmuOb1ng8EIlVLu8STSGUPLY489hkceecT996amJtTV1eGGG27ggX8UMCsKk6CNVOLAScOU\n586QZ8ZtDlS3DCAnTYeoCO9uPCTERCArVQttpBIJMdLvh6L5yXVeC7eISYc/+1kAbg8jkrqmDiNs\ndgcWZMZh1aIUCAJQXjX7LWLjNgfauoeQm6aDfJLzmyYzbWjZuXMnVq9eDb3emahEUcTPf/7zS0IM\nUSAo5DKsXaZHv8mCqsa+YJczrzUYBmEdt3vdz+Ly3c+X4SdfW8expOQ3aYlRSEuIwsnaXtjsjmCX\nQ3CGFkHwX2iJUCugi1KxEZ9Iompbnf0shVmxiIlWY2F2PM419sE0bJ3V+7V2DcFmFz06VNJl2lm3\ne/fuRVtbG9555x10dnZCqVRCLpfjX//1XyGKInp6erBt2zY899xzM16ooqLC46KIJpMSOQYAePXd\nE7AOevaDk5+7Kx0859yDqhGNc/r36e/wVUWhh5+7ucuIBzr6bPjHO4eRk6wOdjnzgr8+dw6HiPNN\nfUjQKnC+6pRfrgEA0WoRnX3DOHrsGGS8KTJv8PtdeDhU6eyFtQ51oKKiF+mxdpxrAv725mEsz43y\n+v0qG5w3KOS2QY8/Q9OGlscff9z95x07diAjIwO33HKL+2ubN2/2KLAAQGlpqUfPI5rKCrsDu8rf\nQW3HOFasKJnxUKOKigp+7ibxlwP7IAjAx69fhYSYiGCXE3L4ufMNu6YTR2uPYFiMRWnp1AcTkpM/\nP3fNHSZYbQYsL0pDaelKv1wDAPLOHkV7fzvyFizm96Z5gt/vwscfdu+GRiXHjZuuglwmIDljCO+d\n2I3u4YhZfQaOt54GMIBr1yy9or92qhAzp3NauD2EAkkul2HtsjQYzVacqusNdjnzUmO7EdXNAyhd\nmMJfCkjSlhYkQiEX2IwvAdUt/m3Cd3H1tXRyghiRpIyMjaO1awj5GbHu/pOM5GikJUbheHUXxm12\nr9+zod0IQQByUj2bHAZ4EVq2b99+ySoLALz//vueV0fkAxtKMgAA+09withsvHO4GQBw49XZQa6E\naHoRagUW5SSg3mCE0WwJdjlhzd9N+C4XJoixr4VISuoNRojipd8DBEHAVYtTMWqx43Sdd73Goiii\n0WCEPjEKGvW0m74uMaeVFqJAW5QTj4QYDQ6d7sC4jQ263hiz2rDneBvidWqsXpQS7HKIZlRSlARR\nBCpreoJdSlirbh6ASilHTprnd0Rng2e1EElT7cSNiwWZsZd8vWxxKgDgyFnvmlx7BkYxPGZDroeH\nSrowtNC8IpMJWLdcD/PoOE7W8hcZbxw81Y7h0XFcX5Y9Yz8QkRSs5HktQTdqsaGl04SCjBi/f99I\ndW0P49hjIkmpmZgcdnloKc6JR3SEEuVVXV4dg9IwcahknheTwwCGFpqH3AdNcouYV9461AxBALaU\nZQW7FCKP5OpjEKtV43h1Nxw8nyko3itvgUP0/9YwAEiKi4Ag8KwWIqmpbR2ELkrlXg11kctlWFWc\ngt7BUTS2mzx+v0aDM7RwpYVCXlFWHJLjInD4TAes4943f4Wj5k4TzjX1o6QwGakJ3o8mJAoGmUxA\nSWESBocsaOrw/AcizZ0oinjh7fN4eudpREcoA3KzQ6mQI0GnYWghkhCj2YLu/hEsyIyddABXWbFr\ni5jnB026Vlpy9d5tOWVooXlHEARsKMnAyJgNP3mmHMOj48EuSfLYgE/zlWuL2HFuEZvSodMdaOnx\n3bACm92BX750An95pxop8ZH4xdfXI8uLCT9zkZIQhT7jKHsWiSTiwqGSk6+2rixKhkIuoNyLvpaG\ndq3A2yYAACAASURBVBNiolWI12m8qoWhhealT15fiFWLUnC8uhsP/2ofOno5bWYqlnE7dh9rRaxW\n7W6aI5ovVhSyr2U6RrMFP/9TOV7a3weLD1aeR8bG8cP/O4z3jragIDMWv/j6emQka31QqWdS4iMh\nikDPIFdbiKSgZoomfJeoCCWW5Ceirs2I3sHRGd/PPDqO7v4R5OpjvD46haGF5qUItQLf+8JVuGVj\nPlq7zHjoiX04U8+zWyZz8FQ7zKPj2FKWBQUb8GmeidWqkZ8Rg6rGPoxabMEuR3KOnO2EQwSGxxx4\n/2jLnN6rzziKR379IU7U9GB1cQp+9rV1iNN6dyd0rlI5QYxIUmrdTfhT97VdNXFD9GjVzFvEmlxN\n+F72swAMLTSPyWUCvnjzEmy/cwVGxsbx/d8exHvlzcEuS3LentgatqWMW8NoflpZlAybXcRp3pi4\nwqHTzi0ZMhnw6p462O2z21bV3GHCN3+5H43tJmxdk4Pvfq7Mq/MTfCUlYSK0sK+FKOhEUURNywCS\n4yIQq1VP+TxXX0t5VdeM7+nuZ/FychjA0EIh4Mars/Gj+9ZAo1LgiZdO4JnXzsLOSUMAgNauIZxt\n6MOKBUlIS2QDPs1Prr6WXfvqsf+EAc0dJvY8wLmV60RND3L1OqzMj0JX/wg+PNnu9fucquvBt3fs\nR+/gKO69aRG+dvuyoI1FT4l3HTDJ0EIUbN0DozANW7FghumByfGRyEnT4WRtz4wr4o0G51AVb5vw\nASDwt1GI/GBZQRL++8EN+NHvD+PVD+pg6DFjczEz+TtHJhrw13CVheavhTnxiNOqcbK2Fydrnast\nMpkAfWIUslK1yErRIStFi9JFyYjUKINcbeAcO9cFm92BNUvSkKgx4njdMP62uxYbStI93ite1zaI\nR58+DEDEQ/eU4tqVGf4tegbuAyYZWoiCrrbV2c9SOEU/y8WuWpyKl96rwYmabqxZqp/yeQ3tRigV\nMmQkRXtdD0MLhQx9UjT+6+sb8J/PHsORs51oaVeibLUjbPs4rON2vH+0FTHRKly1OC3Y5RDNmkIu\nw6+/tRm1rYNo6RxCa9cQWjpNaO0aQlu3GQfh3CK1dlkavvPZsiBXGziurWFrlunR1z6Ma1akY1+l\nARXnu7FqUcqMr7fbHdjx8gnY7A58/4tXubd4BFO8TgOFXIaufg5XIQq2mpaZ+1lcyiZCy5GznVOG\nlgaDES2dQ8jR62a1msvQQiElOlKFR798NX7yTDmOnetCU4cJBRkz3yEIRYdOd2BoxIrbNxVAqQjP\n4EahQxupwsqiZPdWMcC537rfNIaWziH87h9ncPhMJ/qMo0iIiQhipYFhHbej4nwX0hKikJ2q/f/t\n3XlgW/WZLv7naLEl2fIiWd73JXb2fSeEsAQIlMJAWxgILaXtvUDhB+2wDDBtp7877ZSWpjC0MMwN\ndIZSttKmbIVAAwlkj7M7m+Ml3jfZlmxrl879Q5aSkNiWbUnnWHo+f0Es67wkB0fv+b4LzG3ALZdX\nYNuBVvxpS21IScs7n9ejrsWCyxcVyCJhAfwnaJnpWp60EMlAbXMfBAEoyx+7/6Q8Pw2GlETsPdYJ\nr0+EUuE/7R20ubD1QCs+3nMGdS3+fpZZpcYJxcNPMhRzVEoF5pRnAAC6+8YevxerAg34a5eyNIxi\nkyAIMKZqMb8yEzesKoXPJ2Lz7slN0JoqDtZ2w+70YvnsnGApWEluKhZWZaKm3owTjb2jfn+HeQiv\nfnQCKUkJ+PZXZkYj5JBlGXSwDLo4LY5IQl6fiNPN/cjP1IdUdqtQCFg8IxvWIRdONPbi0Klu/OoP\n1fjmv36EF/58GA1tViydmY0n7lqCb103Y0IxMWmhmJSZ7q+LjtdZ/63dgzhS14M55RnInUDdKNFU\nc+n8PGgTldi8q3HCE7Smkp2Hh0vDZp9f+nnL5RUAgD9tqR3xe0VRxO/+dAhOlxff/eospCaPPBVI\nCllGNuMTSa2lawAOlxfTCkOvVgnsgvvRf+7Ak/+5A1sPtMCUrsU3r5uBl/9lLZ789lIsm5Uz4UEf\nLA+jmGRK95eHxOtJy+bhU5arl/GUheKDTqPGZQsK8Ledjdh3vBNLZ8VuH5fX68Pumg4YUhIv2FI9\ns9SIqqJ0f19fh/Wim+w/29+CA6e6saAyE6slbry/mGAzvnkIxTnjnzBERJNXG1wqOXY/S8DcChPS\n9ImwOz24YnEBrlpShBklhnEvkRwJT1ooJpnShpOWELazxhq3x4tP9jZBr0u44CksUSy7dkUxAODD\nXbG9r6mmwYwBmwtLZ+VAoTj/w4AgCMHTlrc/PX3B91oGnfi/fz2KxAQl7rl5Ttg+TIQTJ4gRSe/U\n8FLJ8Zy0JKqVeP7RK/DKT67Bg7cuwMxSY1h/xjBpoZiUmpwIpQLoicOTlt01HbAOuXDF4gKoVUqp\nwyGKmpLcVFQWpaP6RGdMf+ANTA1bMcJDicUzslGQpcfW/S3o6jv/9+Gld2tgHXLh9qurkG2U5+4m\nJi1E0qtt6oNKqUBxzviWQCZr1dBGaDEtkxaKSQqFgBSdMi57WgIjCnnKQvHommXFEEXgo12NUocS\nEaIoYteRdiRr1ZhVlnHR1ygUAm5eUw6vT8Rft9YFf/3AyS5s2deMsvxU3LCqNFohjxuTFiJpuT1e\nNLZbUZqXIqvpo/KJhCjMUpNU6LU64fZ4pQ4lqrqHn6wG/uIniieXzMtFklaNj/c0wRODDfm1zf3o\nsTiwZGb2qDuoLp2fj4w0LT7afQaWQSccLg9+9/YhKBQCvv+1eZJtvA9FSlICtIlKJi1EEmlos8Lj\nFcfVzxIN8v2pRTRJqTp/aZTZ4pA4kujq7rNDpRSQrtdIHQpR1GkSVLhiUQH6B5zYfbRD6nDCLrhQ\ncoyTVLVKgZtWl8Hp8uL97Q14ffNJdJht+OqlZbLfXSUIArIMSejsHYIoilKHQxR3TgWb8OX1s4JJ\nC8Ws1CR/0hJvE8S6+23ISNNe0KBLFC+uWV4MAPjbzgZpAwkzURSx80gbEhOUmH/Oks2RrF1aBL1O\njb9uq8NfttYhy6DDP66tjEKkk5dl0MHu9MI65JI6FKK4UxtswudJC1FUpOr8jWBfbkSNZW6PF71W\nZ3BPDVE8KsjSY2apEYdqe9DWPSh1OGHT3DmA1u4hLKzKRKJ67CEbmkQVvnJJKWwOD3w+EffeMhea\nCDXIhhv7Woikc6qpD9pEFfJktueNSQvFrOBJSxyNPe7p95fCZQyPfCaKV9cOn7bE0vjjYGnYOHbQ\nXHdJKdL1ibh6WREWhHA6IxdMWoikMWR3o7V7EBUFabKr2GDSQjEr0NMST+VhgVOlwHJNoni1Yk4O\nUpIS8MmeJrjcsTGMY+fRdqiUAhbNyA75e1KSEvD7H12N+26ZG8HIwi8wjplJC1F0nW7phyjKr58F\nYNJCMexsT0v8/KUXSNBYHkbxTq1S4srFhRiwubBj+IRiKuvstaGuxYI55SYka9Xj+l6FQpDlEsnR\n8KSFSBqBfpYKmfWzAExaKIYlqBTQ6xLiqjws8N9qYnkYEa5eXgQA+HBno6RxhMOuo6FNDYsVmYGk\nxTwkcSRE8aW2WZ6TwwAmLRTjTOladPfb42ZsZuBUKZM7WoiQm5GMedNMqKk340yHVepwJmXnkXYI\nArB0VuilYVOZNlGF1OQEnrQQRVldiwUpSQmyfPjJpIVimilNC6fLiwGbW+pQoiJQHsZGfCK/QEP+\nR1O4Ib9vwIFjDWZMLzbE1f6lLIMOXX02eH3x8dCJSGo2hxudvTaU5KbIsqSUSQvFtEBDerz0tXT1\n2ZCWnBjSOFSieLBkZjbS9YnYsrcJDpdH6nAmZE9NB0QxfkrDArIMSfB4RfTG2YJgIqk0dQwAAIpy\nUiSO5OKYtFBMM6X5y6Tioa9FFEV099uRwclhREEqpQJrlxZhyOHBFwdbpQ5nXAZtLmzd34K/bqsH\nACwbx6jjWHC2GZ99LUTR0NjuL6MtkWnSMjW2TBFN0NmTlthPWvoHnXB7fLKsQyWS0uWLC/DGJ6ew\n93gnrlxSJHU4o2rrGcSemk7sPdaBo/Vm+IZLo1bOyQ2OAY4X504Qm1UmcTBEcSCQtMj1pIVJC8W0\nYNISByctHHdMdHE5xiSY0rU4WudPAuS2MK29Zwgf7WrEnmMdaO4cDP56ZWE6lszMxpKZ2SjK1ksY\noTQ49pgouhrbrRAEoCBLnj9vmLRQTAucOsRDT0tw3DHLw4jOIwgCZpdlYMu+ZjR3DsjuKeIzbxxA\nTb0ZCWollg4nKYunZyE9JX6a7i8my8ikhShaRFFEY7sVuRlJ0CTIMz2QZ1REYZKu10ClFOLkpGV4\n3DGTFqILzC4zYsu+Zhyp65FV0uL1+lDb3I+CLD02PLSaQzTOYUrTQRCYtBBFg9niwJDdjbkVGVKH\nMiI24lNMUygEZKRp46KnJfDfGBg+QERnzSrz/0V8pK5H4kjO19I1CJfbi8rCdCYsX6JWKWBM1XLB\nJFEUBPpZinNSJY5kZExaKOaZ0nToG3DA7fFJHUpEdQ2ftLA8jOhCWQYdMtL8fS1yWjZb19oPACjP\nl+8HBSnlGJNgtjowaI+PXVtEUjmbtMiznwVg0kJxwJSuhSgCZktsn7Z099uRoFYiJSlB6lCIZMff\n12KEdciFps4BqcMJOt1iAQCUFaRJHIk8zanIgCgC1cc7pQ6FKKad4UkLkfTONuPHdtLS1WuHKU0r\nyy22RHIwe7hE7Ohp+ZSInW7uh0IhoCRXvh8UpBTYTbPraLvEkRDFtsZ2KzQJyuDUPjli0kIx7+zY\n49ht5nQ4PRiwudiETzSK2eWBvhazxJH4eX0i6tssKMzSs59lBEXZemQbdag+0Qm3xyt1OEQxye3x\noaVrAEXZKbIbCX8uJi0U8wKN6bF80nJ23LF8n5AQSS3Q13KkrkcWfS2tXQNwurwoYz/LiARBwNKZ\nObA7vTgsoxMyoljS2j0Ij1eU1WTFi2HSQjEvHhZMnl0syZMWopHIra8l0M9Sns9+ltEsm5UNANh1\ntEPiSIhiU6AJv0jGTfgAkxaKAxlx0NMSKH3j5DCi0c2SUV9LXYt/clhZHpOW0UwvNiAlKQF7atrh\n80l/QkYUaxrb/A9QSmTchA8waaE4oE1UQa9Tx3RPSxd3tBCFZHaZfPpaTrf0QyEAJXnyLsmQmlKp\nwOIZWei1OlHb3Cd1OEQx50yH/+SZ5WFEMmBK06G7zy6LOvZI6OaOFqKQZBt1yEjVSN7X4vWJqG+1\nID9LD02CSrI4poqzU8RYIkYUbo3tVhhSNLJfmcCkheKCKV0Lh8sbswvKuvrsEATAmMqkhWg0giBg\nVnmG5H0tbd2DcLi87GcJ0bxpJiSoldhdw9HHROE0aHOhp9+OYpmfsgBMWihOxPqulu5+OwwpGqhV\n/F+aaCzBfS0SloidDvSzcHJYSDQJKsyfZkJz5yBauqQfokAUKwKlYUxaiGQiOEGsL/b6Wrw+EeZ+\nezAxI6LRne1rka4ZP5C08KQldIESsd0sESMKm0ATvtz7WYAQkxan04mrrroKmzZtQkdHB+666y6s\nX78e3/72t2E2S9/MSDSW4K6WGBx73Gd1wOsTkckdLUQhCfS1HJWwr6WuxQKFAJTm8qQlVItnZEEh\nALtrmLQQhUvj8ElLSW6MJC2/+93vkJbmfxr0m9/8Bl//+tfxyiuv4IorrsBLL70U0QCJwuHsSUvs\nJS2B/yY24ROFRhAEzCrLgGXQhWYJ+lp8w034eZl6aBLZhB+q1ORETC8x4sSZXvRZHVKHQxQTGtss\nUCgE5GcmSx3KmMZMWurr69HQ0IDVq1cDAH784x/j6quvBgAYDAZYLJbIRkgUBrG8YLIrMDmM5WFE\nIZs1jtHHzZ0D+PUfq8P2QbmtZxB2pwfl7GcZt2WzciCKwJ5jPG0hmiyfT8SZjgHkmZKhVimlDmdM\nYyYtTz31FB577LHgv2u1WigUCvh8Pvzxj3/E9ddfH9EAicIhTa+BUiHEZE9LIBEzGVgeRhSq2eVG\nAGP3tbg9Xvzif/bi0+oWvPnJqbBc+3SL/2Ef+1nGb9msbAAcfUwUDl19NtidHpRMgX4WABj1XHrT\npk1YvHgxcnNzASBY++vz+fDwww9j2bJlWLZsWUgXqq6unmSoRON37n2n1yrQ2mWNuXux5pR/2Vp3\nWwOq7a0SR0MAf95NBaIoQq9V4sCJDuzbtw+CIFz0dR8ftASn63y4qxHTsxxI0kzuieSO/f4mfM9Q\nJ6qr+yf1XueKl/suM02NAyc7sWPXXiSqOU9IavFy38WiEy3+h54qcWBK/DmOmrRs3boVLS0t2Lx5\nMzo6OpCYmIjs7Gxs2rQJJSUluO+++0K+0MKFCycdLNF4VFdXn3ff5e36AscazJgzd35MjQZ+78Au\nAEO4bOUiJGnVUocT975835F8LTxZjc/2tyAzfxoKsy980ni8oRc7j3+ObKMOVy4uxB8+PIHWwRTc\ntrJqUtf90+4vIAiDuPbyJdCGqaclnu67Nd3H8cbHpyBq87Bwbq7U4cS1eLrvYtHpvpMAzFi5aDoW\nzsiWOpygkRKoUT+5bdiwAW+99RbeeOMNfO1rX8O9996Lnp4eJCQk4Pvf/35EAiWKFFO6FqIImC2x\n1dfS02+HTqNiwkI0TqP1tTicHmx4bT9EAA/eugA3XFqGZK0a737RAIfTM+Fr+nwi6losyDMlhy1h\niTeB0ce7uGiSaFIa26wAgOKLPLSRo3E/bn711VdRU1OD9evX484778RPf/rTSMRFFHaBkcCx1ozf\n1WdjEz7RBIzW1/LyezVoNw/hxtXlmFlqhDZRhetWlmDA5sIne5smfM1289BwEz77WSaqLC8VGWla\n7D3WCY/XJ3U4I3K5vfhkzxm4PfKNkeLbmQ4rdBrVlJk+GvJjnsDJyo033hixYIgiKfDBPpbGHg/Z\n3bA5PDBxRwvRuOUYk2BM1aCmzgxRFIN9LQdOduGDHY0ozNbjjmvOloJdf0kp/vLZafxlax2uXV4M\npXL8Zaanm/09LGVMWiZMEAQsm5mN97Y3oKbejLkVJqlDuqiPd5/BC385Ao9XxDXLi6UOh+g8LrcX\nrd1DqCxMH7GnT25ip7CfaAxnxx7HzgSx4LjjKfKUhEhOBEHArNIM9A860dI1CAAYtLvxzBsHoFQI\neOi2BUhQn226T9Mn4oolhejqtWH74bYJXfN0iz9p4bjjyQmWiB2Vb4nYySb/kJSaei7hJvlp7hyA\nzyeieIpMDgOYtFAcicWTlkCpWyZPWogm5MslYv+16QjMFge+cVXlRUu4blxdBoUAvL3ldHCi5njU\ntVggCEBpHpOWyZhZZkSSVo1dRzsm9OcQDbXDp2rHG3sljoToQo3tw/0suUxaiGQnIy32Fkx293Kx\nJNFkzA4045/uwc4j7diyrxnlBWn42hUVF319bkYyls/JRX2bBQdPdY/rWj6fiLrWfuRmJEOn4eCM\nyVApFVg8PQs9/XbUt8pvybXN4UZrt//0rrPXht4wLSYlCpdA0lI0RZrwASYtFEd0GjWStWqetBBR\nUE5GEgwpGhyq7cFv/3QQapUCP7htAVSj9KvcvKYcAPDnT0+P61od5iHYHGzCD5ezJWLyWzRZ12qB\nKAKaBH954fEGnraQvARPWlgeRiRPpnQtevptsi0nGK9AAsaeFqKJEQQBs8syMGBzwTLowp3rZqAg\nSz/q91QUpGNOeQYO1nYHe1RCUdfiPxEoL2BpWDjMrzRBpVTIsq8lMHDhisWFAIBjjexrIXk5026F\nKV07pdYlMGmhuGJK08Hu9GLI7pY6lLDo6rNBqRCQnqKROhSiKSvQ1zKrzIgbVpWG9D03r/GXj43n\ntCWQ4HByWHjoNGrMLjOisd0qu/KrQNJy7fJiqJQCT1pIViyDTvQNOKfUKQvApIXizNkJYrFRItbd\nb4cxTQulYmqMKySSo9UL8nH7NVV4+I5FUIT4/9L8ShNKclOw/VArOsxDIX1PMGlhE37YzK/MBIBx\n9xdFWm1LP5K1ahRm61GWl4b6VgscrokvJSUKp6lYGgYwaaE4E0sTxNweH3qtDjbhE02SJkGFW6+q\nhGEcJ5aCIOAf1lTAJwKbttaN+XpRFFHXakGeKYlN+GE0b5p/R8vBU10SR3LWoM2F9p4hlBekQRAE\nTC8xwOsTg9PEiKR2hkkLkfwFT1r6pv6uFrPFDlEEMtnPQiSJVXNzkZmuxcd7mmAZdI762g6zDUN2\nN8ryWBoWTsU5KUjTJ+LgqW7Z9CoGepcqCvx/1tOLDQDYjE/yEZwcxqSFSL5Maf4pW7FQHna2CZ+T\nw4ikoFQqcOPqcrjcXrz3RcOor2U/S2QIgoB5FSb0DThxpmNA6nAA+EvDAASnxAWTFu5rIZlobLdC\npRSQZ0qWOpRxYdJCceXsSUsMJC39/tMinrQQSeeqJYXQ69R4f3s9unpHPsGtC3yQ5eSwsJtfKa8S\nsUATfvnwSUt6igbZRh2ON/bC55PHaVC8e/aNA3jst1/I5nQumrw+EWc6BlCQpR91tLscTa1oiSYp\nPUUDhUKIrZOWNJ60EElFk6jCTZeVY8Dmxr2/3IJNW0/D6/Vd8LqzTfg8aQm3uRX+pOXASXk049e2\n9CM1OeG8fsPpxQYM2d1o6ZLHaVA88/lEfHGoDTX15mApXzzpNA/B5fZOudIwgEkLxRmlQkBGqgZd\nMdDT0sUdLUSycMvlFXjotvlIUCmx8Z0a/OCZbaht7gt+XRRF1LVYkJORNKV2IkwVxlQtCrP1OFpv\nhsvtlTQWy6ATXb02lOf7m/ADppf4x2qzREx6Hb1DsDv9k9y2H26TOJroaxjuZylh0kIkf6Z0HXqt\nDngu8jR0KgkME+D0MCJpCYKAyxcV4vlHL8cViwtQ32rBPz2zDS9uOgKbw43OXhsG7e5gjwOF37xp\nJrjcXsmTgrMLRM//s54x3NdyjM34kjv3dGX74ba4KxE7M0Wb8AEmLRSHTGlaiCJgtshrGdl4dfXZ\nodclQJOokjoUIgKQmpyIB29dgJ/dsxI5GUl49/N63PvUFrw9vICyPJ/9LJEyf5o89rUETtgqvpSg\nFmTpkaRRSZ5UEVDf6k9aMlI1aO8ZCk7Sigc+n4jqE50Apt64Y4BJC8WhWBh7LIoiuvvtyDTwlIVI\nbmaXZ+DZH67BbWsrYRl04cOdjQA4OSySZpUaoVIqcEDiZvzaLzXhBygUAiqLDWjvGUL/wOjjsSmy\nAkMxvnFVJYD4KhHbsq8Jp5r6sWJODoypU+/zA5MWijvBBZNTuBnfOuSCy+1laRiRTCWolfjHq6vw\n7A8vw5zyDOQYk4J7Oyj8NIkqTC82oL7VMubOnEg63dIPQ0riRT8QzuDoY8mJooj6NgsyDTqsXpCP\nBLUSO+IkabEOufDSu8egSVDiOzfMljqcCWHSQnEnsNdkKo895o4WoqmhIEuPf7tnJV58/EroNGzC\nj6R500wQReBwbY8k1++1OmC2OFCen37Rr08vYdIitV6rA5ZBF8ryUqFNVGFhVSaaOwfR1BH7JWL/\n88ExDNhc+Merq6bsAB8mLRR3guVhU/ikhTtaiIjOF9jXIlWJ2OmWi5eGBUwrSIdCIeB4gzmaYdE5\nAk34ZXn+/rKVc3IBADuOtEsWUzScONOLzbvPoChbj6+sKpU6nAlj0kJxJ1geNoV7Wrq4o4WI6Dyl\neWnQ69Q4cKpbkolQgaWSI5UBahJVKM1NwekWi+SjmeNV3XATfulw0rJ4RhZUSgW2H4rdEjGv14fn\n3z4MUQTuuXnulFsoea6pGznRBOk0aiRp1VP7pIU7WoiIzqNUCJhTYUJPvx2t3YNRv36wCX+UgQvT\nS4zweH3BUxmKrvrW4SWvw39GOo0aCyoz0dhuleSeiYb3dzSgvtWCKxYXYGapUepwJoVJC8UlU5oW\n3X22KTufPbAck0kLEdFZUo0+FkURp1v6YUrXIk2fOOLrpgea8cOwr6V/wBncuUGhqWu1IE2fCEOK\nJvhrK+fmAEBMNuT3Wh34w99OIFmrxl3Xz5Q6nElj0kJxKcugg93phXXIJXUoE9Ldb4dapUBa8sh/\nORIRxZv50/x9LdFOWswWB/oHnGMuEJ0exgliz711EA88/SmO1kkzeGCqsQ650N1nD5aGBSyZkQ2V\nUojJ0ccb3zkKu9ODO6+bgdQY+LzApIXiUn5mMgCgqWNA4kgmprvPBlOaFoIgSB0KEZFsZBp0yM1I\nwuHTPfB4faO+1un2YsNr+7HtQMukr1s7Rj9LQEaaFqZ0LY439k76pL+upR8+EfjlH/Zx90sIGlrP\nb8IPSNYlYE6FCXUtFnSYh6QILSIOnerGtgOtmFaYhrVLi6QOJyyYtFBcKsz2b4Jt6px6SYvT7YVl\n0MXSMCKii5g3zQS704OTZ/pGfI0oivjtWwexZV8zXtt8ctLXDE4OC2GB6PRiA6xDrkn1UAzZ3eix\nOJCgVqLX6sTTf6yG1zc1y52jpS7Qz5J34Z9RcIrY4diYIub2ePH8nw9DIQD3/MNcKBWx8YCTSQvF\npcJsPQBMydnsPcMDBDK5o4WI6ALzK8fua/lgewM+rfafsLR0DaKzd3LTJAOTw0Yad3yuwJLJE5Mo\nEWvu8j9wu2Z5ERZNz8LBU9146++nJvx+8SAwOawsP/WCry2dmQ2FQoiZvpa/fFaH1u5BrFtREtI9\nOVUwaaG4lJ+ZDEGYeictg3Y3qk90Ajg7upmIiM6aXZYBhULAwRH2tRxrMOO//noUqckJuHlNOQBg\n/8mJ73YRRRG1zf3INuqg1yWM+frpJcbhOCaetARKm4uyU/DQbQuQkabFax+dwOHT0e3lmUrqWixI\n0qiQZbjwgV9qciLmlGXgZFNfcNDNVNVhHsIbH59Emj4Rt187XepwwopJC8UlTYIK2YYkWfe0uD0+\n1Db34f3tDdjw2n7c84u/47YnP8B/bToKAMjP1EscIRGR/CRp1agsTMeppj4M2t3nfa3X6sC/hiTi\n2gAAIABJREFU//deiAAeWb8IVy8rBgDsH34YNBFdfXYM2FwhlYYBQFFOCrSJykk14zcPP3ArzNIj\nJSkBj65fBEEQ8Ms/VKPP6pjw+8Yqu9ODtp5BlOSljtgLumKuv0Rs5xRfNPna5pNweXy4+yszkaxV\nSx1OWDFpobhVmK2HdcgluwZGy6ATj/9uO77xxPv4wW+24YU/H8aWfc3otTowtyIDX7uiAj+6eylW\nDv+AJSKi882bZoJPBI6cc/Lg9vjw7/+9F30DTtx1/QzMKTchJyMJuRlJOFTbDbdn9Mb9kdQ2+3tn\nxmrCD1AqBFQWGtDSNTjhCZaBKoH8LP/Dq6piA7553Qz0Dzjxq1fZ3/JljW1WiOLF+1kCls3KhiBM\n7dHHlkEnth1oRZ4pCZfOz5c6nLBTSR0AkVQKs/XYXdOBpk4r0vQmqcMJ+vxgK47U9SA/MxmzyzIw\nrTAdlUXpyDMlQxEjzXRERJE0f1omXtt8EgdOdWP5bP8DnpfeOYrjjb1YNS8PX720LPjaBVWZeO+L\nBpxo7MXs8oxxX2s8/SwB00sMOFjbjRONvVgyM3vc12zqGIAxVXPek/QbV5ehpt6M3TUdeH3zSdx+\nTdW43zdWBZrwvzzu+Fzpeg1mlhpRU2+G2WKHMXXqlWBv3n0GHq8P61aWxOTnBZ60UNwqzAo048ur\nRGxPTQcA4KffW4F7b5mLK5cUoiBLH5M/gIiIImFaYRp0GhUOnvSftGzZ14T3tjegKFuPB74+77wS\noYVVWQAQ7Bccr8C449Ge4n/ZZPa12Bxu9PTbUZB1fomwIAh48Nb5yDTo8MYnJ3FgEn06saZ+hHHH\nX7ZyTi5EEdg1BUvEvD4Rf9vZCE2CElcsKpQ6nIhg0kJxq0CGSYvN4caROjNKc1M50piIaIKUSgVm\nl2Wg3TyEHYfb8Nu3DiFJo8Lj31oCTeL5RSazyoxQqxSoPjH+D/k+n4i6ln7kmZKQNI7+gcqidCiE\niSUtLV3+UcmFWRf2NSbr/P0tSoWAp/9YDbPFPu73j0V1rRYkqBTBHW0jWT47BwCwfQqOPt57rAPd\nfXasWVgwrntxKmHSQnErP0sPhcwmiB2q7YbH68PiGVlSh0JENKXNn+Yv+/3FK/vg8vjwg9sXItd0\n4YdWTYIKs0qNaGy3jvtDfod5CEMODyoK0sf1fTqNGsU5qaht6ht3L01gVH9gdP+XTStMx11fmQnL\noAsP/8fneOqVfXj1wxPYur8FdS39cDg947reVOf2+NDUYUVxbgqUytE/9hpTtZhebEBNfY/s+l3H\n8v4XDQCA61aWSBxJ5LCnheJWolqJLGMSmjqsEEVRFtvl9x7zlycwaSEimpzAvhafT8RtayuxZMbI\nvSMLqrJw4FQ3DpzswpVLQt8eXjuBfpaAquJ01LdZUNfaj6oiQ8jf19TpP2n5cnnYub5ySSnau4fw\n8d4mfH6w9YKvZ6RpkZ+ZjHUrSoKnC7GqqcMKj1dEaYjleyvm5OJ4Yy92HW3HNcuLIxtcmDR3DuBg\nbTdmlRlRlJMidTgRw5MWimuFWXoM2NyyeKLi84nYe7wTacmJ435qR0RE58vJSMLCqkxctiAft15V\nOeprF1b5E5x94ywRO90ynLSEOO74XFXDfS2nzvSN6/uCJy2jJC2CIOB//cMcvPlv12Hjk1fhp99b\nju/dOBvrVhRjbkUGRFHEwVPd+NWr1bL4+y+SQu1nCVgxJ1AiNnWmiH2wI/ZPWQCetFCcOztBbADp\nKRpJYznd0o/+ASeuXFzIpnsiokkSBAE/+e7ykF6bn5mMzHQtDp7qhtfrG7OMKKC2uR8KYfSpVCOp\nLPI/nDo5zqSluXMAhpREJIewyFKhEJCZrkNmui548hTw/vYGvPDnw9i09TS+df3MccUwldQNJy2h\n/hllpuuQZ0pGbXO/bKowRmNzuLFlXzMMKRosmxXbp2Y8aaG4VpjtP0aVQzP+nmP+qWEsDSMiii5B\nELCgKgtDdjdONfWH9D1en4j61n7kZ+mhTRz/M+AcYxL0ugScbAo9abE7Pejqu3By2ERctaQQhpRE\nvL+9YcL7YqaC+lYLFAoBxeMomyrISsaQ3Y3+QfmfQn22vwU2hwfXLC+GKsRke6qK7f86ojEUDTcy\nyqEZf++xTqiUAuZNk8/OGCKieLFg+CQi1NHHrV0DsDu9EyoNA/yJUmVROjp7bSGXaDUP/10VjqQl\nQa3EP6ypgMPlxTvb6ib9fnLk9Ymob7OgMEuPBLUy5O/Lz/T//rYM9w/JlSiKeH97A1RKAdcsC70X\na6pi0kJxLc+U7J8gNlwjLJWefjvqWy2YVZYBnSY2RxUSEcnZ3IoMKBUCqkPcb/Lu8LSm2WXjX0gZ\nMK3QXyJ2KsTTlkDSEqgSmKyrlxUhLTkR735Rj0G7OyzvKSdt3YNwurzjLt8ryPJPmWvukv6B5miO\n1pvR1DGAFbNzJS9xjwYmLRTXEtRK5GQkoaljAKIoShbH3uP+J3ujTbchIqLI0WnUmFFixOnm/jFP\nPhraLNi8qxEFWcm4bGH+hK9ZOZy0hFoiFkxawnDSAvjHPd+4ugw2hwfvfVEflveUk/E24QcET1q6\n5H3SEhxzfElsN+AHMGmhuFeYnYJBuxt9Ek5Q2ct+FiIiyS0YniJ24NTIpy2iKGLjO0fhE4G7b5g1\nqT6CaYX+0rJQJ4id6QhfeVjAtSuKodep8c62OtgcsXXaMt4m/IDAEspmGZSOj8RssWPn0XaU5KZg\nenHoI7OnMiYtFPcCT6ykKhFzuDw4dKobBVl6ZBuTJImBiIjOjj7eP8ro4z01HThU24OFVZlYWDW5\nB03JugTkmZJxqrkPPt/Yp/3NnQNI0yciJWnsyWGh0mnU+OqlZRiwufHBjsawva8c1Lf6hyqMN2nR\nadQwpmrQIuOk5W87G+HzibhuZansJ5yFC5MWinuBrcJSTRA7fLoHLo8PS3jKQkQkqeKcFBhSErH/\nZNdFkwi3x4eN79ZAoRBw9w2zwnLNyqJ02BwetIzRP+FwetDZawtbadi5rr+kFEkaFf7y2Wk4nJ6w\nv78URFFEfasFORlJE+oVLcjUo8fikOXpk9vjw0e7ziBJq8bqBXlShxM1TFoo7gXHHkv0RGXvMX8/\ny2L2sxARSUoQBCyozIJ1yIW61gtHH7+/vR7tPUNYt6I4bCVaoe5rCfRXRCJpSdKq8ZVVZbAOufDh\nrsawv78UuvvsGLC5J7RDBzhbItbaHd6+FuuQC7/6QzX2HQ9tSt3F7Djchv4BJ65aUghNQvysXGTS\nQnEvz5QEhUKQ5KRFFEXsPdYBvU6NquG/uIiISDoLpwdGH59fImYZdOL1zSeRrFXjtrVVYbvetBCb\n8QMP1gqyw5+0AMANl5ZCm6jEnz89DafbG5FrRFPdBJvwA/KHk8PmMI89fn97A7YeaMG/vbwbe2o6\nJvwegL8fKZ4waaG4p1YpkWNMQlNn9CeINbRZYbY4sLAqK+QNzEREFDnzKkxQCBf2tfzxoxMYcnhw\n29rKsPaUFOekIEGtHHPscaDvMpxN+OfS6xJw3cpS9A048fHuMxG5RjSdnRw2sT06gbHHY5XtjYfH\n68OHOxuhSVBCqVTg5/+9J7hYOlSnmvpwvLEXC6sykZuRHLbYpgJ+SiKCv69lyO5Gr9UR1evu4dQw\nIiJZSdYloLLIgJNnejFo82+KP9NuxYc7G5FnSsa6leEdL6tSKlCen4oz7VbYR+knCTzxj0R5WMCN\nq8uQmKDE21tq4fZM7dOWugk24QdEYuzx7poO9FoduHJxIX78nWX+xOX3e4MTRMeyZV8znnxhOwDg\nhkvLwhbXVBFS0uJ0OnHVVVdh06ZN6OjowPr163HHHXfgoYcegtstvwYlovGSqhl/77EOKBQCFkxy\nAg0REYXPwqpM+ETgwKluiKKI/xsccTxzUiOORzKtMB0+ETjdcmEfTUBTpxWpyQlITU4M+/UDUpMT\nce3yYvRYHPj73uaIXSca6lstMKZqkKaf2O9Xuj4RSRpVWMcef3BOWdfssgz86O6lUCgE/Oz3e0ft\ncbE53Hj61WpseG0/AAE//McFWFCZGba4poqQ/s/73e9+h7Q0//HaM888g/Xr1+MPf/gDCgsL8fbb\nb0c0QKJoKMqKfjN+34ADp5r6MbPEiGTt+CebEBFRZCw4Z/TxvuOdOHiqG/OnmbBoemQeMFUV+fds\njLSvxeHyTw6LVGnYuW66rBxqlQJvbamFx+uL+PUioX/ACbPFMeFTFsA/lCE/S4/2nqGw/D40dw7g\n8OkezCnPCA4AmlNu8icuAvCz3+9B9YkLE5cTZ3rxwNOf4bP9LagsTMezP7wMly0smHQ8U9GYSUt9\nfT0aGhqwevVqf9Pw3r1Ys2YNAGDNmjXYsWNHxIMkijQpTlqqjwemhvGUhYhITsry0pCanID9Jzux\n8Z0aKATg7q/Oitg+jLGa8Vu7BiGKkS0NCzCkaHD10iJ09drw6b6pedpSP8Glkl+Wn5kMr09Ee8/Q\npGP6YIf/lGXdivPLC+dWmPAvdy+FAODfXt6D/Sf9vVRen4g3PzmFR5/7Al19Nnz9ymn49+9fEtf7\n3MZMWp566ik89thjwX+32+1Qq/1PhY1GI7q7uyMXHVGU5JqSoVQIUV0wuecYkxYiIjlSKATMr8xE\nr9WJ1u5BXLO8GEXDT8cjISNNA0OKBifP9F50IEygCiAaSQsA3Hx5BdQqBZ7/82F8cah13N9ffaIT\nP/jNVhyt64lAdGML9LNMtAk/oCDY1zK5B5p2pwdb9jXDkKLB0lkXrjeYNy0TT357OHF5aTc+rW7G\nv7ywA6/87TjS9Yn4t/+9EuuvnR6R0sSpZNThzps2bcLixYuRm5t70a+PZ9JSdXX1+CIjCoPx3Hfp\nyUo0tPVj3759k3qa5vL48PwHnVApBVwyQ49ZRTooFee/n8crYt/xDhj0KnQ2n0Ln1HyYRSPgzzuS\nAu+78DIk2AAAiWoBM7OdEf/9zUwBTrQ48enne5CadP7Hsz0H/ScHdms7qqtHnzIWLt9YZcCbn5vx\ni//ZhwPza7G8Kvmifzee+/siiiK+ODaAvx/yPwB89f39uGWlMSrxnhfTUTMAwNbXhOrqtgm/j3PA\nDgDYfeAkElztE36ffbWDsDk8WFKhw6GDB0Z83ddXGfDa1h78+o/7AQBV+RrcsDQdLssZVFdP/Ylu\nkzVq0rJ161a0tLRg8+bN6OzshFqthk6ng8vlQkJCAjo7O5GZGVoj0MKFC8MSMFGoqqurx3XfVR7d\ni+2H21BcPhMZadoJX/fzA63oG/T/kPzLzj7sOOnEzWvKccXiQiSolQCA/Se74Pa0YtX8IixcGJ6t\nyiQP473viMKB9134Vc5wo6ZtJ9atKMGliyLfQ9BgqcWJlmNITC3AwrnnPyz+26HdAAZw5apFE24s\nH6+FAJYssOAn/7ULmw9YkKAz4Ds3zj7vIdy5953d6cEzbxzA9kNWGFM1cLl9aDH7sGDBgoiV1Y3k\nj19shUrpxJpLlkChmPi1cwoH8dq2v8OnSpnw/1+iKOL3n34GpULAt25aBmPqyJ8vFgKoKO/Cy+/V\nYN2KYlyzvDjqv3dyMNIDglGTlg0bNgT/+bnnnkN+fj7279+PDz/8EDfccAM++ugjrFq1KryREkmk\nMFuP7Yf9fS2TSVq2HmgBAPz4O8uw91gHPt7ThN+9fRivf3wSN64uxzXLi4PjDVkaRkQkT8laNX71\nwKVRu15l0dm+lpVfSlqaOgeg1yUgNTl8+2FCUZKbil89cCl+unEX3tvegO5+O/7pjoUXbGFv7xnC\nz36/B43tVswsNeLROxfhpXdr8Fl1C5o6ByJaWncxPf0OGFM1k0pYACDLoINKqUDzJMYeH2voRWO7\nFSvn5o6asAQsqMoMDoKg8427OO6BBx7Apk2bcMcdd8BqteKmm26KRFxEURdsxu+ceF/LoM2F6hOd\nKM5JwaLpWbjn5rnY+MRVuHlNOexOD156twZ3/5/N+Ky6BTqNCjNLo39sTkRE8lOenwaFAJw803ve\nrzvdXnSah1CYrZfkqbspXYt/v+8SzK3IwO6aDjzx/Hb0DziDX99/ogs/+M1WNLZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "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": { "deletable": true, "editable": true }, "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": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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/HK+E5qtgdlkoeLrIwGa1NLmDFs9OC3A5RYy7LURENFsWdNCSpc2ARJBAgIBs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\nbGsjl52dbZcFCzERE/m5iwpQk1/RywcHT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"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": { "deletable": true, "editable": true }, "source": [ "## Cointegration\n", "We've constructed an example of two cointegrated series. Cointegration is a more subtle relationship than correlation. If two time series are cointegrated, there is some linear combination between them that will vary around a mean. At all points in time, the combination between them is related to the same probability distribution. \n", "\n", "For more details on how we formally define cointegration and how to understand it, please see the Integration, Cointegration, and Stationarity lecture from the [Quantopian Lecture Series](https://www.quantopian.com/lectures#Integration,-Cointegration,-and-Stationarity).\n", "\n", "We'll plot the difference between the two now so we can see how this looks." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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UXby2mArKaJ8TXsdsM1xToAT8PgT8kqMKiqJqrl5jRqZACVssXoO0kO4XsmUG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\nGKAQEREREZE0GKAQEREREZE0/j8IKSRMT3HcuwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(Y - X).plot() # Plot the spread\n", "plt.axhline((Y - X).mean(), color='red', linestyle='--') # Add the mean\n", "plt.xlabel('Time')\n", "plt.legend(['Price Spread', 'Mean']);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Testing for Cointegration\n", "That's an intuitive definition, but how do we test for this statistically? There is a convenient cointegration test that lives in statsmodels.tsa.stattools. Let's say that our confidence level is $0.05$. We should see a p-value below our cutoff, as we've artifically created two series that are the textbook definition of cointegration." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.75767345363e-16\n" ] } ], "source": [ "# compute the p-value of the cointegration test\n", "# will inform us as to whether the spread between the 2 timeseries is stationary\n", "# around its mean\n", "score, pvalue, _ = coint(X,Y)\n", "print pvalue" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Correlation vs. Cointegration\n", "Correlation and cointegration, while theoretically similar, are not the same. To demonstrate this, we'll show examples of series that are correlated, but not cointegrated, and vice versa. To start let's check the correlation of the series we just generated." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.94970906463859317" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.corr(Y)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "That's very high, as we would expect. But how would two series that are correlated but not cointegrated look? \n", "\n", "### Correlation Without Cointegration\n", "A simple example is two series that just diverge." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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SpMVRGdq54h6tjFsiq8VqcjoAuH6UGQAA5qkuT6/+5fDPdKSpRIYMZbnTtHPF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\nMxoEwGpYWFSRw6r5eaycn09ZfuqM+e8jIiIiIpfuigozwUi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X_returns = np.random.normal(1, 1, 100)\n", "Y_returns = np.random.normal(2, 1, 100)\n", "\n", "X_diverging = pd.Series(np.cumsum(X_returns), name='X')\n", "Y_diverging = pd.Series(np.cumsum(Y_returns), name='Y')\n", "\n", "pd.concat([X_diverging, Y_diverging], axis=1).plot();" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation: 0.993134380128\n", "Cointegration test p-value: 0.884633444839\n" ] } ], "source": [ "print 'Correlation: ' + str(X_diverging.corr(Y_diverging))\n", "score, pvalue, _ = coint(X_diverging,Y_diverging)\n", "print 'Cointegration test p-value: ' + str(pvalue)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Cointegration Without Correlation\n", "A simple example of this case is a normally distributed series and a square wave." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Y2 = pd.Series(np.random.normal(0, 1, 1000), name='Y2') + 20\n", "Y3 = Y2.copy()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Y2 = Y2 + 10\n", "Y3[0:100] = 30\n", "Y3[100:200] = 10\n", "Y3[200:300] = 30\n", "Y3[300:400] = 10\n", "Y3[400:500] = 30\n", "Y3[500:600] = 10\n", "Y3[600:700] = 30\n", "Y3[700:800] = 10\n", "Y3[800:900] = 30\n", "Y3[900:1000] = 10" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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yejMSiqG1y34VTXOxspevuuZePLVkvzEJkos1sBYWLK9DLJ5EU2v/qF1bUFop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\nKysRjUZRVlaGjo4OnHVWZods9f++dg5ajhzElIoiDIwkUHW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W7e8iGVZaarOs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\nBKninpZ8s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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Y2.plot()\n", "Y3.plot()\n", "plt.ylim([0, 40]);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation: -0.0413040695809\n", "Cointegration test p-value: 0.0\n" ] } ], "source": [ "# correlation is nearly zero\n", "print 'Correlation: ' + str(Y2.corr(Y3))\n", "score, pvalue, _ = coint(Y2,Y3)\n", "print 'Cointegration test p-value: ' + str(pvalue)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Sure enough, the correlation is incredibly low, but the p-value shows that these are cointegrated." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Hedging\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 spread 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", "### Going Long the Spread\n", "This is when the spread is small and we expect it to become larger. We place a bet on this by longing Y and shorting X.\n", "\n", "### Going Short the Spread\n", "This is when the spread is large and we expect it to become smaller. We place a bet on this by shorting Y and longing X.\n", "\n", "### Specific Bets\n", "One important concept here is that we are placing a bet on one specific thing, and trying to reduce our bet's dependency on other factors such as the market.\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": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Here's a method 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 $0.05$.\n", "\n", "### WARNING: This will incur a large amount of multiple comparisons bias.\n", "The methods for finding viable pairs all live on a spectrum. At one end there is the formation of an economic hypothesis for an individual pair. You have some extra knowledge about an economic link that leads you to believe that the pair is cointegrated, so you go out and test for the presence of cointegration. In this case you will incur no multiple comparisons bias. At the other end of the spectrum, you perform a search through hundreds of different securities for any viable pairs according to your test. In this case you will incur a very large amount of multiple comparisons bias. \n", "\n", "Multiple comparisons bias is the increased chance to incorrectly generate a significant p-value when many tests are run. If 100 tests are run on random data, we should expect to see 5 p-values below $0.05$ on expectation. Because we will perform $n(n-1)/2$ comparisons, we should expect to see many incorrectly significant p-values. For the sake of this example we will ignore this and continue. In practice a second verification step would be needed if looking for pairs this way. Another approach is to pick a small number of pairs you have reason to suspect might be cointegrated and test each individually. This will result in less exposure to multiple comparisons bias. You can read more about multiple comparisons bias [here](https://en.wikipedia.org/wiki/Multiple_comparisons_problem)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "def find_cointegrated_pairs(data):\n", " n = data.shape[1]\n", " score_matrix = np.zeros((n, n))\n", " pvalue_matrix = np.ones((n, n))\n", " keys = data.keys()\n", " pairs = []\n", " for i in range(n):\n", " for j in range(i+1, n):\n", " S1 = data[keys[i]]\n", " S2 = data[keys[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((keys[i], keys[j]))\n", " return score_matrix, pvalue_matrix, pairs" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Looking for Cointegrated Pairs of Alternative Energy Securities\n", "We are 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.\n", "\n", "Our approach here is somewhere in the middle of the spectrum that we mentioned before. We have formulated an economic hypothesis that there is some sort of link between a subset of securities within the energy sector and we want to test whether there are any cointegrated pairs. This incurs significantly less multiple comparisons bias than searching through hundreds of securities and slightly more than forming a hypothesis for an individual test.\n", "\n", "NOTE: We include the market in our data. This is because the market drives the movement of so many securities that you often times might find two seemingingly cointegrated securities, but in reality they are not cointegrated and just both conintegrated with the market. This is known as a confounding variable and it is important to check for market involvement in any relationship you find." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "get_pricing() is a Quantopian method that pulls in stock data, and loads it into a Python Pandas DataPanel object. Available fields are 'price', 'open_price', 'high', 'low', 'volume'. But for this example we will just use 'price' which is the daily closing price of the stock." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "symbol_list = ['ABGB', 'ASTI', 'CSUN', 'DQ', 'FSLR','SPY']\n", "prices_df = get_pricing(symbol_list, fields=['price']\n", " , start_date='2014-01-01', end_date='2015-01-01')['price']\n", "prices_df.columns = map(lambda x: x.symbol, prices_df.columns)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Example of how to get all the prices of all the stocks loaded using get_pricing() above in one pandas dataframe object" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "
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ABGBASTICSUNDQFSLRSPY
2014-01-02 00:00:00+00:0014.0997.417.04038.0057.43179.444
2014-01-03 00:00:00+00:0014.4277.257.07839.5056.74179.287
2014-01-06 00:00:00+00:0014.9897.127.01040.0551.26178.905
2014-01-07 00:00:00+00:0015.2827.206.96041.9352.48179.934
2014-01-08 00:00:00+00:0014.9697.107.16042.4951.68180.023
\n", "
" ], "text/plain": [ " ABGB ASTI CSUN DQ FSLR SPY\n", "2014-01-02 00:00:00+00:00 14.099 7.41 7.040 38.00 57.43 179.444\n", "2014-01-03 00:00:00+00:00 14.427 7.25 7.078 39.50 56.74 179.287\n", "2014-01-06 00:00:00+00:00 14.989 7.12 7.010 40.05 51.26 178.905\n", "2014-01-07 00:00:00+00:00 15.282 7.20 6.960 41.93 52.48 179.934\n", "2014-01-08 00:00:00+00:00 14.969 7.10 7.160 42.49 51.68 180.023" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prices_df.head()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Example of how to get just the prices of a single stock that was loaded using get_pricing() above" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "2014-01-02 00:00:00+00:00 179.444\n", "2014-01-03 00:00:00+00:00 179.287\n", "2014-01-06 00:00:00+00:00 178.905\n", "2014-01-07 00:00:00+00:00 179.934\n", "2014-01-08 00:00:00+00:00 180.023\n", "Freq: C, Name: SPY, dtype: float64" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prices_df['SPY'].head()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Now we'll run our method on the list and see if any pairs are cointegrated." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(u'ABGB', u'FSLR')]\n" ] }, { "data": { "image/png": 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YNWpUvva1r7WmgIsXL86sWbNaf1349sTorR07dthhhwqdUf1a22f1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\nB7pUFjtnRFDyAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Heatmap to show the p-values of the cointegration test between each pair of\n", "# stocks. Only show the value in the upper-diagonal of the heatmap\n", "scores, pvalues, pairs = find_cointegrated_pairs(prices_df)\n", "import seaborn\n", "seaborn.heatmap(pvalues, xticklabels=symbol_list, yticklabels=symbol_list, cmap='RdYlGn_r' \n", " , mask = (pvalues >= 0.05)\n", " )\n", "print pairs" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "deletable": true, "editable": true }, "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": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "S1 = prices_df['ABGB']\n", "S2 = prices_df['FSLR']" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.0049511108325587683" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "score, pvalue, _ = coint(S1, S2)\n", "pvalue" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Calculating the Spread\n", "Now we will plot the spread of the two series. In order to actually calculate the spread, we use a linear regression to get the coefficient for the linear combination to construct between our two securities, as shown in the [stationarity lecture](https://www.quantopian.com/lectures/integration-cointegration-and-stationarity). Using a linear regression to estimate the coefficient is known as the Engle-Granger method." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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py8P+9GYHREnGleevgpBl9ol9LUREtJhNyLSwp2VR4MhjKhiSrF+mJdvysKmN\n+Mr3B1OUh7X3eGAxGbCsqmjK16rLHBgaCyImJq4qBcMxPP92J0qKrNiyqSHjn0O1ghPEiIhoEVOr\nL8rcNoyOh7VeUspfupSHcXoY6WG+97RkQ1sumenI4/iLpxrszNSIH41J6OrzYkWdG0bj1D/pqjIH\nJHli+vvF947BH4rh0+c1aY+RjaY6NWhhpoWIiBYftRG/Or6yYNgT0vNwKAM5DVpsFhMsZiPLw0gX\nepaHzaYRXxASWSGtPGyakcddfV7ERBmr6kumfA1IvCCr/SeiJOPp1ztgMRnwqbNXZPVzqMrcNrid\nFmZaiIhoUVJ7Wmrii5S5qyX/5TRoAQC3w8xGfNJFohE/57/22ZeHxSSYTUat10Tb0zJNpqW9R8l2\nrGoonvI1AKguVV6Q+4eVoOXdfSfQPxLABWcsQ3GRNYufIkEQBDTVudE/EkAgNPXvuWfQh/9+8gP4\ngvxbJyKi/KNeyKwucwJgM/5ikPugxWnFODMtpIPEyOPcP7Y1PgUs0/KwWEyCxZT48zSbDDAZhWnL\nw7Qm/FSZlvhVpP54pmXba9Mvk8yW2ozfeWJqtuX5tzvxp7eO4tEX2gAAI+MxfOMHL+OR59sgy/KU\n2xMREeWSGrRomRY24+e9nActLqcZwbCo7aEgyhX1BWq6vo+Fpi6JzLwRX9Sa8FU2i2na8rD2Hg+M\nBgHLa13T3leVmmkZCeDgsREc6BzBGeursax6+ttnKtHXMjVoOd4/DgB49q2j6Bv24+l3R9E94MNj\nLx7EQ88dYOBCRES6EuPDadQSamZa8p8umRaAzfiUe/mwXDKcTXnYpAZ5m9U0pTxMFCUc7fWiscYF\ns2n6hvrKEjsMBgEDIwEty3LllrllWYCZxx6rQUtMlPEvP9+BzoEwNjZXoq7CicdfPozfbT8458cn\nIiKarUSmRSkPY09L/jPl+gFdjviCSX8EZW5brh+eCpjadGc06renJZrhcslYTILTbp7wObvVCK9/\nYrDfPehDJCqmLA0DlMxSRbENnSe8aOscQVOdG6eursjyJ5iqoaoIRoOAzkmZlmA4hoHRIE5dXQFf\nIIqOXg9sZgHf/uLpkGXglvvexGMvHoTBIOBLl6yd83EQERFlSw1aXE4LHDYTMy2LgA7lYequFmZa\nKLfU5bd6ZFrUUq/MMy2iNiZZZbOYEAxP/P727pmb8FXVZU4EQjFIMnDlltVZL5OcjtlkxLJqFzr7\nvBOWdHV2W6P3AAAgAElEQVQPKFmWxhoXvvaZU2AxG3HpmaUoL7ajosSO//jGuagqc+B329vwh5cO\nzfk4iIiIsiWJid1tFSV2DI5OXcJM+UWH8jAlaJl8xZhooanLJfUYeWydxchjy6RyL7vVhEhUnBAg\ndKiTw2bItABAVZkdAFDmtmLzxvqMjzudFXVuhCMi+ob92ufU0rDGahc2rK7A/3z/0zh1hSNxLKUO\n3PGNc1FZasdDzx3AE68cnrfjISIiyoSYVDJeWWKHPxSbdhom5Q8dRh7Hgxb2tFCOqU13Rl33tKQv\nD5NlGdGYBNOkRnyrJd4XE0n0tbT3jEEQEk3xqag1u5edt3JKg/9cNNXGJ4gllYh19SlBi9roP11W\np7pMCVwqim34zZ8/0nptiIiIckGUJBgE5UJmRYlyYY99LflNv0Z8Zloox/TMtKilXpFY+kyLOlnP\nMim4sE/a1SJJMjp6PKivLILNOnN72iUfW46tn1qHyzevzPrYZ5KYIJZoxj/e7wOAtNPJasqd+I9/\nPBdlbht+/cw+DHv4ZkFERLkhSjIM8b1tlaVK0MK+lvymy8hjgOVhlHvayGMdghaT0QBByKw8TAta\nppkeBkAbe9w34kcgFEtbGgYoG+y/cNFabUnlfElMEEtkWo73j6O4yJLR4sq6iiJcdeEaSDLw1vu9\n83psREREqYiSrA3mqVQzLdzVktdyH7TEy8M48phyTRt5rEPQIggCLGZjRkGLmo2ZXB5msypBjJpp\nybQJfyGVuKwodVlx9IRyLOGoiL4Rf1Y7YM45rQ4GAXhjb89CHSYREdEEkihrFzErS7irZTFgIz4V\nDD0zLQBgMRkRyWCpaqrysFKXMiK8f1iZcNLePQZA36AFAFbUujE4GoQvEEHPgA+ynL40LFmpy4ZT\nVlWg7dgoBji9hYiIciAmSdr5AHtaFoecBy12qwkmo8CeFso5PZdLAkpfSzblYZOXRa5tLAUAHOwa\nBQC0xyeHrcygPGwhaSViJ7zo6lPKxBqzCFoA4Lz4RLM397JEjIiIFp4oyjDGe1oqSpSLgsy05Lec\nBy2CIMDttHB6GOWcGrTosVwSQOblYfHbTM60rF5WAoMAHOoahSwrTfg15Q4UTVpCmWtqM35nrxdd\n/RMnh2XqnA21MBgEvPk+S8SIiGjhSZKslYubTUaUuKzMtOS5nActgNLXwvIwyjVR50yL1WzMaOSx\nlmkxT93T0ljjxuHjY+gfCcDrj2TUhL/Q1EzLa7u78cwbHbCYDNrnMlVcZMVpqytw+PgYr3QREdGC\nEyUJpqSLmBUldgyNBSHL8gzfRXrSJ2hxWuAPRrW9GUS5oOfIYwAwm7ItD5v657l2eSkiURGv7DoO\nAFhZr28/CwDUVxXBZDTgYNcoojEJN11zhta7lo0V8UBnxBua70MkIiKaQJQS5WGAMkEsGpPg8fGi\ner7SJWhRT2h8QW4epdwRRbURX5dfe6U8LCalvYoTjU1fHgYk+lq2v9MJQP8mfEAZ57yy3g2DANxw\ndQs+dkrtrO7HFl+eGUpanklERLQQxKTyMCBp7PEYB8Lkq/ld2pAhdeyx1x/JaJcD0XxIZFr0eXxr\nvNwrEpO0j6cTSZNpAYARbxhAfmRaACVYGfdHsHZ52azvQ31OwpH02SgiIqK5EEV5Qo9r8oLJNctK\n9TosmoEuQQvHHpMe9M60qEFINCrOGLREo9NPDwOAhioXHDYTAqEYyott2hhkvdVVFAEVc7uPRKaF\nQQsRES0sKWnkMZA09pgLJvOWruVhDFool/TuadEyCWn6WrTyMPPUP0+DQUBz/ApQPjThzyerRbmG\nEmZ5GNEUh4+P4h/vfBl9w/6cPJ4vGMUzb3Sw95SWLKWnZbryMAYt+Uq36WEAMM6xx5RD2p4WvZZL\nquVhaSaIzVQeBgDN8RKxfOhnmU82KzMtRKl8eGQYx/t92Nc+nJPH2/bqEfxi24doPTiQk8cjyrWY\nOLERnwsm85+umRYumKRcUkceG3UaeWyOZ04isXSZltTlYQBw/un1WFHrxrmn1s3vAerMpmVaGLQQ\nTaZmIL3+cE4eb1+HEhyNcpofLVGSJE24iFnissFoEDh2P4/p04jP8jDSgd6ZFq0RP8PysFSZluU1\nbtx74wXze3B5QH1+mGkhmkotKx3LwTjWSFTEwWOjAMDxr7QkSZIMSZ64bNpoEFAe39VC+UnfTAvL\nwyiHREnJYOR9eVj865YUmZalysqRx0QpqcG8x7fwmZZDXaOIxXtZeHGRliK1x9U0aTBPZYkdI96Q\n9vtP+UWfoMXBTAvlnpppMeoWtMTLw9JmWuLlYdM04i9l6vQwlocRTaX+XeTifXP/0UTfjCdH5WhE\nuaSWixuME88HKkvskGVgxMOyyHyky1mRw2aGQWDQQrkl6t2Ib5qf8rClSutpSfP8EBUiNQM5loNM\ny/6kZn8vy8NoCVKn4k2+iMlm/Pymy1mRwSDA5bSwPIxySu+Rx5mWh6mZFpaHEZFKDea9Cxy0iKKE\nA50jWFZdBIvZmLPGf6JcSlV5oS6YZNCSn3S7lOtyWJhpoZySRH3Lw6wZTg9LN/J4qbJyuSRRSmp5\n2EI34rf3eBCKiDh5ZQWKiyzw8H2aliBtmuiknpbEgslAzo+J0tPtrMjttMAXiGjRLtFCE3XOtJiT\nysOGPUE8+OxH8E2TbVTLxwouaDEbIQjsaSGajpqBjERFhMILl43cHx91fPLKchQ7eXGRliYxVaYl\nHrRwglh+0jXTIslAIBTV6xCowGgjj3Xa06KWh4WjEl5t7cbjLx/Gg88emHK7mFoeZi6s8jBBEGA1\nG7V9FESUkBzML1T2IxiO4Zk3O2A0CNiwqhxupxXhiMiSTVpy1Olg0zXiAywPy1e6ZloANuNT7mg1\nrEb997QMxxe2bX+nE50nvBNuFynQRnxAKRFjeRjRVMl/Fws19vh329swOBrE5y5YjfJiO9xF8fdp\nNuPTEpOqp8VpN8NmMc4p03Kkewxtx0a0f4+Oh/DKruOQZVYWzZX+QQub8SlHRJ0zLeaknhZ1nKIk\nA/c/9eGEF7NC7WkBAKvFxKCFaBrJU/UWImg50j2Gp19vR22FE1+4eC0AoNhpBcCLi7T0pOppEQQB\nlaV2DI7OPmj5/m/ew7/8bAeGPcp9/NfvduOuR3fjQOdImu+kdHQtDwP4Yki5I6V4kcoVa9L0sBFv\nCAaDgE1rq/D+4SHs/Khfu11MC1oKqzwMUHa1sDyMaKrkv4uF2FJ//1P7IMnANz9/mvZapV5c5K4W\nWmq0kcfTVF5UFNvhC0Zn1Ts27AliYDSISFTEI8+3Yc/BAew9NAgAOHJ8bG4HTfpnWsYZtFCOaD0t\nOv3WW5LKw0a8IZQUWfG1z5wCg0HAr57ep406jkRFGA2CblPO9KQELcy0ECWTZXliT0uKTMtdj+7G\nHb95L+v7P3hsBPs7htGyrgqnNVdqny8u4sVFWppSNeIDQGWpA8Ds+loOJwUmL+/sws+e+ED7d3uP\nJ+v7o4n0y7SoQQvLwyhHUqWDc8USL/dSg5ayYhuWVbtw6dkr0Dvkx7M7jgIAoqIEi7nwSsMAwGo2\nIRKTtP9XRKTsbpJkwGlTFrBO14i/++AAXtl1HO/t78t6KucfX2sHAHz246snfF7LtLCnhZaYmc4H\n5rJg8lDXKADgsvOaIMnAiWE/Nm+sh9ViRAeDljljeRgVjHxZLjniDSEak1DmsgEAvvTX6+C0m/Ho\nCwfh8YURiUowGQuvNAxI7GphiRhRgtrPUlWmXAGenGkRJRm/+dN+7WN/FlM5+4b9ePuDXqysK8ap\nqysmfM2t9bSwPIyWllSN+ABQWaK8N8+mGf9wl5Jpufqv1+HU1RWwmI348qXr0VTrRlf/uLbSgGZH\n9/IwBi2UKzO9SOWCGrT0DStLq8qKlRdGt9OC/3XJWviDUTz6wkFEY2LBZlpsWtDCF/alIhqTsOOD\nXviCHG8/W6FwPGgpnT5oeW33cRztTUwhHBvPPMh45o0OSDJw5cdXQZg0pITlYbRUiWLqaaKVJfHy\nsCyb8SVJxuHjo6ivdKLIYcFtf/8x/Ow7n0BNuRMr64shSTKO9XnT3xGlxKCFCoY2PUy3oEX5c+sf\niQctbpv2tUvPbUJ9ZRGee7sTI94wLAXYhA8ANotS/hLm1ahFo2/Yn/KN+FifFzfe/Tq+/9ud+P2L\nB3N8ZEtHOKpkHktcVlhMhgnlYeGoiIeea4PZZMAFLQ0AMn9f9QWjePG9YygvtmHzxvopX1czLQs1\nYplIL6IU39MyzflARensFkyeGPbDH4phTWMpAMBuNWkXGlbWlwAAS8TmSLegpchuhiCwp4VyR9I7\naIkHIupSqzK3VfuayWjA319xMiRJRiQqwlSA446BRKaFY48Xj/98cCf++cevo2/Yr31OkmQ89Xo7\nrr/rNXT0Km/S7d18s54t9e/BajHCXWSdEEQ880YHhsaCuGLzSqxuUE6MxjIMMra/3YlgWMTl562E\nyTj1NafIbobBIPDiIi05WqZlxp6WQFb3qfazrFlWMuVrqxqKAbAZf650OzMyGg1w2sycHkY5o15Z\n0as8zGAQJpwYJGdaAODM9dXYGJ/cU6jlYVYtaGFPy2IQjUno7PUiEhVx3/+8D1mWMTgaxHf/ewfu\nf2ofHDYTbvvqWaitcKLzhJfL1WZJLZe0mo0oKbJojfEeXxiPv3wILocZf3NhM9xF8R6UDIKWaEzC\nM292wG414q/PXjHtbQwGAW6H8ngxUcIvn/oQ+zuG5+eHypEj3WPoHfLpfRiUZ2aaHmY1G+FymDES\nXwKdKTVoaY5nWpItr3HBaBDQwYs3c5L2zCgUCuHb3/42rrnmGnzhC1/Aq6++ir6+PlxzzTXYunUr\nrr/+ekSjs6tVdjktvIJDOROPWXRbLgkA1qRgpHRS0CIIAr52xSkwCIDTZs71oeUFq1oeFmamZTHo\nHfRpb/57Dg3ivic+wD/931fwwZEhnHVSDe698QJ87JRarKh1YzwQwWgWvRaUoAYtNosJ7iIrIlER\noXAMf3j5EAKhGL5w8VoU2c0oifegjGUw7euNvT0Y9oRw8ceWo8ie+vVGeZ8OY++hQTz9egd+/Nhu\nLVu8GHzvF2/jP36d/RhoWtrSXcR02s0IhLK7eHa4awxGg4CVdcVTvmY2GdFY48LRE15Ox5yDtEHL\nK6+8gg0bNuChhx7CXXfdhe9///u4++67sXXrVjz88MNobGzEE088MasHdzstGA9EePWNckKUJAiC\nfuVhAGA2J3pVyicFLQCwvNaNf//Gufj6507N5WHlDa0Rnz0ti4Lay3LF5pWwmI14/u1OiJKM6/52\nI277+7NQGp+Qt7zGDQDoPMEm1NlQM49WixHF8X7Qg8dG8exbR1Fd5sCl56wAABRnmGmRZRnbXjsC\ngwBcsXnVjLctLrLAF4zirfd7ASiDRF58r2suP07ORGMivP4IuvrGtV5CIiAp0zJNWSQAOKzZBS3R\nmIT2Hg+a6tza0J3JVtWXIBIV0TMwnv0BE4AMgpZLL70U1157LQCgt7cXtbW12LlzJz7xiU8AAC64\n4ALs2LFjVg/uclgQE2UEZ7F1lChbkiTrmmUBEhPEDAK0Uo7JNqyqwLJqVy4PK2/YWB62qBzrU958\nzzqpBt+6aiPOO60O99xwAf76r5ZPmES1olYJWo4xaJkVNYi3WYxaYPLzP36AmCjjy5euhzneL6d+\nLV1PyweHh3C014tzTq1DdXyMcipupwWyDLz5fg9cDjOsFiMee+Hgoriw4AskqkB2HxzQ8Ugo38xU\nHgYAdpsJwXAs451Hx054ERMlrQl/Oivr2dcyVxkXzn/xi1/ETTfdhFtuuQXBYBBms5JOLi8vx+Dg\n4KwenBPEKJdESdZ9y7xaHlbisul+LPnIykb8RUUNQhprXdiyqQHf+fKZqK1wTrnd8lolCGemZXZC\nST0tamDSPeDDmmUlOO+0xNSvTJdB/vG1IwCmLpOcTnF8glgoIuKvTqnF5eetxIg3hOfiy3DzWfKY\n7d1t/ToeCeUbaYaRxwDgiC9yzfQC2qHj8X6WaZrwVWrQwglis2fK9IaPPfYY2tracOONN04o58q0\ntKu1tXXK54I+ZQnPe60foL7ckumhLFrTPQdLWb79vD6fHzJkXY5LfcxoRLkCajOJeff8LLRMft6e\n40oJx+H2oyg3DS30IeliKf1/P3RsEA6rAe0H903Z8ZFMkmSYjMCB9j6c31y9pJ6DucrkuWjvUDJa\n3cePIRhJ9JOc02zCnj27J9zWZhHQNzSW8n4HPFG0tg2gsdKC8cEOtKa55ugfT5xgVdj9WFYag9Us\n4HfbD6DSOgrbPA0NWYjfia7BRMZpd1s/3tu5K68vFvHvImGhn4sjR5X3mu7jXWhtHZny9ZBfucDy\nzs7dKHakP1V+e49yH9HxE2htnf69KxxV/nb3tnWjtX7mbCh/F6aX9v/Evn37UF5ejtraWqxbtw6S\nJMHpdCISicBisaC/vx9VVVVpH6ilpWXK59pHD+HttgOob1yJlnXVs/sJFonW1tZpn4OlKh9/Xtur\nf4E5GMj5cSU/F6U73kDf6Agaasrz7vlZSBn/Pjj7gTffQVV1HVpamhf+wHIsH/8uZisUjmHs0W6c\nsrICZ5xxRtrbL3/Th+N945AkGWeemf72hSDT34cjIwcBeHDS+mZIkoyn330HZ55Ujb+59K+m3Lb8\nxTH4ghG0tLTgtd3d+O8/foAf/Z8tWgbsnt/vAQBs/fRGtGyoTfvYPYF2vL5vH2wWIz7/qbNhNRvR\n6z+Ih59vQ5fXjS9dsja7H3oaC/V3IX7UB2AQJqOASEyGo2wFTllVMe+PMx+W0mvDXOXiuRiTuoC3\nR7CyaQVaWpZP+fq7R9/Hh8c6sXrNejTGe/Jm8quXX4HdasQlF3xsxsC4/tWXMOiNYNOmTSkv9PB3\nIXXQlvYSya5du/DrX/8aADA0NIRAIICzzz4bzz//PABg+/bt2Lx586wOSk1lc+wx5UI+lIepo4zL\niqc24VPSckmWh+W94wPjkGVllGcmlte4EYlJGPGxXylbyT0tG5sr8dXLTsI//e3GaW9b4rJi3B+B\nKMnY1daP8UAUr+/tBgCMjYfxl9Zu1FU4cdbJNRk9tloetmldFazxnrzLN69EcZEF2147ktfl3WpP\ni3pRlH0tpEosm07RiB8vDwtk0HMdCEXRPTCO1Q2lac8xVtaXwB+McjDELKUNWr70pS9heHgYV199\nNb7+9a/j9ttvx7e+9S1s27YNW7duhdfrxWc/+9lZPbhL7WnhgknKAUmSdZ0cBkBrmC1zTd+EX+jU\nkyL2tOS/YyeUkqXG2vRXIYFEM37/2OxG5BeyUNLIY5PRgM9dsGbKyHSV22mBJAO+QATd/cr/o/f2\n9wEAXt3djZgo4dPnNWV8AWd9UxmWVRfhsvNWap9z2Mz4m080IxCK4cm/HJ7Lj7agfEHl3OKcU2th\nMgoMWkgjijOPPLarQUsGE8Tauz2QZaC5MXU/i4p9LXOTtjzMarXiRz/60ZTPP/DAA3N+cDbiUy7l\nQ6ZFPSlnpmV6XC65eKjjjjPOtMSDlgEGLVnTlktaph+lmqxEnSA2Hkb3gLJU8VDXGEa8IbyyqwtG\ng4Atpzdk/NhVpQ7cd9OFUz5/6Tkr8NRrR/DMm0dxxfmrpizLzQf+eKalvNiOk5rK8cGRIYyOh7RR\n3FS4EiOPUwQtVuX0OJPptupSyTXLUk8OU61KClrOObUuo2OlBF3XbrsdLA+j3MmPkcfx8rA8fIPP\nB/lQHiZJMl7ZdRx9w37djmEx6IqPO86k3htIZFoGPAxIs6UG8bYMghZ3fMFke48HoYioXaj5w0uH\ncLTXizPWV2sTyObCYjbiCxevRSQq4g8vHZrz/S2E8fj0sCK7GS3rlN7bPQdnN+2UlpZ0I48dVmVC\nbjCU/iKLOjlsTRaZFo49nh1dgxYXMy2UQ6Ikw5BikVSu2OJXbxi0TM9m1X+55PZ3j+GuR3fj3+5/\nB9EYy9RSOdbnRUWxbcZt6slKXVaYTQZ4/AxashVOGnmcjppp2d8xDAA4/3RlJPKf31JGFH/ijGXz\ndlwXndWI2nIntr/TmZc1+r546XmRw4LT16pBC0vECBDVkcfpeloyKA871DWGEpcVlSX2tLctLrKi\notiGjp6xLI6WVPoGLWqmhT0tlAOSJMOoc6blsnOb8OVL12tXW2giraclHMOwJ4iv/+fLOT3JGPYE\n8Zs/7Qeg7MF44i9HcvbYi0lMlDDsCaFmmp0sqQiCgIpiO7wBBoLZSpSHpR+9qmZR9rUrY1fPWF+t\nlfAV2c0486T5m9RpMhrwv/56LWKijEdfaJu3+50v6p4Wl8OMFbVulLmt2H1wIOOFgbR0iVK8pyXN\nnpZ0jfij3hCGxoJoXlY649j3ZKsaSjDiDWPUG8riiAnQOWgxmwywW00Y97PGmRaeJMtIcVElZxpr\n3PjbC5szfnErNGaTAQZBaTx+//AgegZ9eGNvT84e/7//+CECoRi+etlJKHPb8IeXDqFn0Jezx18s\n1JJedbJUpipK7PCFJERjUvobkyYcFWEwCDClOMFKVhwvD+sdUsobl1W7tElhm0+v14aBzJfNpzdg\nWXUR/rLreEb1/7nkC0RhMAiwW00QBAGb1lbD64+gnVe5C56UrjzMpmSQ02VaDh9XfpcyKQ1TsURs\n9nQ+hVOa8b3+mZfsEM0HUZRTjjek/CAIAqwWE8IRUWsibu+e2wt7IBTN6CT5UNco3v7wBE5eWY4r\nt6zG/75yA6IxCXc+uAsjvCI2gScetKj9E5kqL1HKInmFMTuhSAw2izGjix3J/SqCANRVFuHSc5pw\n3ml1+NzHV8/7sRkNAlY3lECS86/U2xeMwGkza8/bpniJGKeIUaKnZfpzArURP5Cmp0Vtwm/OoAlf\npQYtR7oZPGdL9zM4l9MCb4CZFlp4kqz/9DBKz2YxIhyNaRmOrn7vrHtLojER//v7L+HHj+1Oe9ve\n+ONt2dQAg0HAOafW4pNnr0BHrwc33vO6Ni2LAI9PudCUdaalWKn5HvIE5/2YlrJwRMyonwVI9LQA\nyuQvq9mIihI7vvPlM1FTnnk5XzaK4qXevjwr9fYFoihyJHquTmuuhEEAdrcxaCl0iT0tM5eHBdNk\nWrTJYVlkWk5qKocgAHsPcShEtnQPWtwOCyJRkSNOacFJkqT7nhZKz2YxIRQR0RPPtMREGcfik6qy\nNewJweOL4M29PRhI0yjs1UqelBMwQRDwj58/Fdd8aj0GR4O46d43sPcQT3YAwOuLP1dZZloq4qO+\nh8eYaclGKCJqk/XSKXJYoCZkllVnNo56rtRhDGoPSb7wBaMTBkW4nRasaSxF27FR+Gc41sHRYN6V\nutH80va0pOxpiZeHzfB7IMsyDh0fQ22FU+vRzoTbaUFzYykOdI7k3d9MvtM/aHGqY4+jeO7tTvzL\nz95CiC8WtABEKfVVFcofVosRwXBMq8kHZr+Ia9SrZAQkGXju7c4Zb6uVPDkTbz6CIOCqi5px49Ut\niEQl3P7Ld/Diu8dmdSxLicc/u0xLeQkzLbMRjsQy2tECKOVa6u9wQ1XRQh6WJh+DlnBURDQmTTmZ\n3LS2CpIk4/3D01/lDoSi+OYPX8H/+6t3IMts2F+q0o08VsoxZ97TcmLID38wmlVpmKplXTUkSeaF\nsCzpHrSoY4/HAxG88E4nPjgyhGd3dOp7ULQkSZLE8rBFwGoxIhCKIRqTUF+pnHS1z7L2d2Q8cUX/\nhXePITLDKGUt0zLNDostmxrw718/Bw6bCff8YS8eeu5AQZ/QeHyz62nRysPGGLRkIxwVMw5aAMAd\nDyYbqnKUadHKw/InaNHGHU8ayb1p3cx9LR8cGUIwHMO+9mG8u79vYQ+SdJOup0UQlAEOM/W0HJpF\nE75K3RvUeoBBSzZ0D1rUK0LDniA6Tyg140++epjZFpp3+bBcktJLXqB37ml1MBiEWU9ZURu+ayuc\n8PojePP93pS3Vfs0kjMtyU5eWY4ffut81FY48YeXDuH/PtJasHtctExLlksKK5hpyVpMlBAT5Yx7\nWoBEX0vOMi3xvpF86mlRAyinY2LQsmZZKYrsZrS2DUx74SF5xPpv//yRVkZES4tWHjbDhUyH1TTj\n9LDDs2jCV61uKEFxkQW7D/YX9AWwbOketKip2w+ODCEmyrBbjfD4Isy20LySZRmSnLp+lfJHcu3+\nilo3GqtdONrr1a6MJWvvHtP2UUxndFw5uf7ixc0QBODZHUdT3tbrj0AQEleNp1NfWYQf/tNmrF9R\nhtf39OC2n+/Iu4lJuaD1tKQI8FJxOy0wGtjTkg11R0umPS0AsLzGBYfNhOW17oU6rAnysTxMPZbJ\nmRajQcDG5koMjQW1CYXJ9h4ahN1qwsVnNaJ7wIcX3+vKyfFSbqVrxAcAu808Y9ByqGsUBoOAlQ3Z\n710zGAScvrYKI94wjvbOPORluve+QqV70OKOnyC0tvUDAK7+5Ho4bCY88ZfD+N32Nrz03swlHUSZ\nUGeyM9OS/5KvKDdUFWFVQzEiURE9A0ozfiAUxfNvd+L6u17Ft+96Dbf+7K2U27jVTMu65WVoWVeN\ng8dGU46Z9PrDKLJb0pYQFhdZ8e9fPwebN9bjo6Mj+H/ueR2j44V1Eq5mWlxZBi0GgwCX3chMSxbU\nITXZlIf93eUn4+ffuXDKCftCycugRSsPm/o7qpXmTJoiNjASQO+QH6eursDWT62HxWzE0290LPzB\nUs6p5wQmY+rTYIfNhGA4Om0mJCZKaO/xYEWtO6ssaLKWdcqiV/X8dzrP7jiKL/zLn9E7xH1hQD4E\nLfE3veP9yv+Q05sr8bmPr4bXH8GjLxzE3b/fi5d38koHzY0kp7+qQvkh+eSstsKpzbR/dXc3fvL4\nXnzl37bjp//zPjp6PKivLIIsI2VTrbpfpcRlxafPbQIAPPvW9NkWrz+SsjRsMovZiBuvbsHlm1ei\nd3QebOYAACAASURBVMiPv+w6nvHPtxR4fBEU2c0zvuGn4nYYMeoNsewmQ+GommnJ/MTIajai1G1b\nqEOaIh9HHqsBlMsxNXA7Xd3XMulkcU98BO3G5kqUuW1orHGhf9jP8p0lKF0jPqCUh8VEedo9X50n\nvIjGJDQ3Zl8aptq0tgqCMDV4VvWPBPDAM/sRjohz3le2VOgetCRfqbNbTaivcuGqi5px302fwE1b\nzwAA7Gsf1uvwaIkQxfQvUJQfbPGlXpWldtgsJqyqV5ocH3/5MLa/cwwupwVXf3IdfnXbJbjl784E\nAHx4ZPoSsdHxMGwWIxw2MzatrUJtuROv7e7G+KSTK0mSMZ5F0AIoAfCV568CAByM1zYXCq8/nPW4\nY5XbYYQkJ0r3aGZqedhsr+bmQj5mWsbjPS1F0wQt5cV2rKh1Y3/HsBYUAsCe+CSnjc2VAJQR3ZGY\npN0XLR3aOcEMJePa2ONpSsQ64yVd6kW12Zhp9LEsy/j5kx9of/9cyKvQPWhJPklY3VACo0GAIAhY\nVu3CeRvrUFxkwf6jw7zSQXPCTMvioV5RVieHrVlWgtPWVODsDbW4/R/+Cr+89WJ88eK1qCixo7Ha\nhZIiKz44MjTta8SoN6RdcTYYBHzqnBWIxCS8NKlO3ReMQpKz3ztSWWpHqcuKts5RpW9KknH/U/uw\n60DqdP9ilwjwsmvCV7kdyv9fThDLjBa0ZJFpyTWL2QiLyZBXQYsvmLo8DFBKxCIxCW/u7QGgXHn/\n4PAgKkvt2muPOu1umOWMS44oKdmTmc4J1AWTgfDU32u1XGuuwy5SjT7e8eEJ7DrQj/L4bqsRBi0A\n8iBoSc60rFk2cWycIAg4qakcw54QBkf5okGzl0kqmPKDekW5IX7iYDEb8e9fPxe3/t1ZaFlXPeH/\noSAI2LC6AiPeEHoGJ9b8ipIMjy+MUlfi5PqisxphMRnw3I5OraYZUDIHALI+ERcEAetWlGHEG8LQ\nWAhtx0bw1OvteG4JDxIZD0RmFeCpih3KiQD7WjKj9rSoGch8VeQww59HGQn/DJkWALj03CaYTQY8\n/HwbIlERr+/pxnggitObqyDEex+1vUIMsJecdCOPAcAeD1qC02Ra1CEOaoA7W6lGH7+yUyk5vu5v\nNwJgZlqle9BiNRthiZ+kTDfr+qSmMgDAR0dZIkazJ2UwKYTygzU+Jak+wytYG1ZXAJhaIub1hSHJ\nmFDb73JYsGVTA04M+yfsafDMcsM7AKyN1zQf7BrBO/uUvQ7qieZSNNM+m0wkMi28cpiJxVAeBgBO\nu0XLbuQDNevjTDGMoKrUgSs2r8TQWBC/2PYh7vuf92G3mvD5T6zWbqNe5R7y8Hd1qcmkZNxuVTMt\nU1/Pewd9sFtNEy6KzUaq0cedJzwodVm19zdmWhS6By1AokRszTSzrk9qKgcAfHR0JKfHREtLJldV\nKD+c3lyJdctLcdZJNRnd/rT4i/r7k4IW9UV+8pvKpecoDfl/TmrIV0/Es+lpUa1drrxutXWO4p0P\nTwCYeYvyYpdun006atDCkpvMhCLZN+Lrochuhj8YnZDB1JPat+aaYYT531zYDJfDjO3vHEMoIuKf\nrtqIuorExRKtPIyZliVHLQ+buRFfCXgnZ1pESUbvkB/1lU4tKzdb040+DkUkDIwGsTw+mcxpM7Gn\nJS4vzuCW17hQX1mEqlL7lK+trC+G1WJkpoXmhCOPF4/ltW788Fvno6rMkdHtayucKC+2YV/70IQT\nJjWdXjZpitLqZSVY21iK1rZ+9A37AcwtaFm9rAQGg4DX93TjRPz+lnTQMm+ZFp4IZkJtFM/nnhZA\nCQ4kOX9+933BKIwGYcZgr8huxhcvWQsA+NQ5K7B5Y/2Er5eXKK8dw8y0LDnahcwZG/HjmZbQxLLH\nobEgojEJ9ZWueTmWyaOPBzzK462I71kqddsw4mV5GJAnQcvNXzkTP/o/508bsZqMBqxtLMWxvvG8\nGqdIi0uiPEznA6F5p/a1eHwRHI/vcgES01ZKXVNHv156bhNkGXj+7U4As+9pAZSlf0117gk1x6E8\nOXFbCN54piXbxZIqp9UAo0HgiWCGEnta8r+nBcifCWK+QBRFDnPaK+GXn7cSd//zx/H1z5465Wvl\n8UwL+6+WnsQ5wcx7WoCp5WE9aj/LHJvwVZNHH/ePKX9DTXXxoMVlw3ggMu3o5UKTF6dwNospZd0p\nkCgRO9DJEjGaHZaHLW3La5QX94GkJZMj8YWPpe6pgch5p9XB7bTghXe7EImKc8q0AIm+FqNBQGWp\nHcHI0l2Iq2Za3LPMtBgMAsqKbTwRzNBi6WlRxx5PHieuF38wmtFyTUEQsLK+eNp+R6vZCJfDwlLG\nJUiUZAhCmvKwFCOP1aEv9ZXOeTmWyaOP1aBFfV9T38PG2IyfH0FLOolmfAYtNDsceby0qcGGGnwA\nwKh3+vIwQJlI9vFNDRgPRHCoa3TOfRprlyuvURtWVaCi2I5gOLZkx7R75phpAYAylw2j3tCSfY7m\nU3gR9bQAyIsJYrIswxeMpBx3nI2KEhuHRuShQCiKtmOzPycURSntNFGtEX9SeVgiaJmfTAswcfRx\n/1gUBoOy+gNIvIeNjvP3cFEELWviVzGPdI/pfCS0WKnbtznyeGlSg43kq7zqC/x05WEAsC4eaBzp\nHpvzRKyWdVVYt7wUV358FexWEyRp+i3KS4HXN7fnCgDKim2IifKEIJOmF1oEe1oAwJlH5WGhiIiY\nKKccd5yN8vhFiMknrqSvB57Zj5vufWPWvXGiJM9YGgYkysMmN+Kr5WF18xq0KKOPdx3ox8BYFPWV\nTm2yrvoeVggTxGRZxpvv96T8+qIIWorsZtSUO9De7eGVOZoVtT+bmZalSZ0QNDnTYjAIKbMnq+N7\noQ53KUGL2WSY9dXs4iIrfvit89Gyrho2q3If2TQk/6X1OAZGA+lvmAc88f6f2e5pARJXDgvhTXiu\ntD0t+d7TEs9q5MPY40NdowBSX7DIRsUsd7UEw7G8COCWIkmS8e7+PsgyZn3hQ5TktBcxtfKwyT0t\nQz6UF9u0TMx8UEcfv/V+L8JRGStqi7WvlcXLwwphgtjBY6P4wYO7Un59UQQtALCqoQTjgQiXTNKs\nMNOytE1XHjbiDaGkyJoyUK0pd8BpN+Nw9xg8/giKnZY5j68EEieXmQYtXX1e/NfvduPJvxyZ82Pn\ngscXgd1qgtk0+yv/pdqbMGu001F/j+bzBGkhaI34OpeHybKMh547AECZCDZXFbPc1fL//epdfPPO\nl7VySpo/HT0erb8jGptd/6CUUdAy9bU8FIlhcDQ4r6VhQGL0sZpZXV6bmEyWyLQs/d8ldWlnKosn\naKlXos72HpaIUfbY07K0TQ5aZFnGqDekXaGajiAIWNNQghNDfox4grOaHDYdR/zkMpRhM/5A/ELM\n+CIplfL6w3PKsgBAuZZp4UWodEJh5fco74MWe36Uh723vw8Hj43i7A21aG6cuvstW+qCyWx2tcRE\nCQc6RzDiDePnT34w52OgidTRwAAQE2dXfSNK0ozjjoHpe1pODClj7ec7aAESo48BoCkp06Jd5CmA\nnpa+Ef+MX180QcvqBqWU40i3R+cjocWIe1qWtiK7GYKQCFoCoRgiMQklacpD1jQqrysxUZ51E/5k\nNjVoyTDTopadTLd1Od/IstKHUjzHAK80HrQM///snWecHGeZ7U+Fzt3Tk/OMZiSNRjlblpxzwICN\njQMLrAmGBZYL7MLd34KXsJe75A2wd2FtYMFeL8k4YGMbg7Bky5JsWSNLozCapMk5dU/nUFX3Q/Vb\n3dPToTpXz9T/i2ypQ01Nd9X7vM9zzkky7jCz4MFD//QnvHhsIOHjVjJkl7dYhPiFLFo4Xuyy0BTw\nwds3ZeU1w7bH8heMYzNOBEPd/dfPjOPI6fgz+iqpQ6yBgfQ7LUEueaeFZWhoWXqJe5gkws+S3XEk\nxPoYEPPKCJHjtPOLXnz463/Ey28MZv39lcDUfOIx6aIpWtZJRYvaaVFJHTlBUirFC8PQMOk1khCf\naCViOYdFQjZDAKAkw+4BgWha5BYhxPo3X0Jfjhfw42fPoj+Na6nLGxQLvAzPleSGk2Tc4ee/P4+p\neTfOX1q94cIeXwBaDQOGUfbtmujKMs1TEwQB5y/NSSO9cpmze/CVR45haNKB6/c2Sc5LmUI0LanY\nHg+Gks3feWUrtBoGP3qqU9Yuec/wAgbG1Y3ZRDjcfnRHuIala3giR4gPiLqWyKJlck5cVNdVZMfu\nOJISkxY726pgNTFLwtZNBg00LI0Fhw/HO8cxa/Pg8KnRrL+/EpiacyeciFH2VTCCEpMW1WUG9I/a\nVDG+SsqonZaVT4lJK3VaSNESK6MlEiLGJ8/PBoYUOy3zoR3c6CyAXDEwbsdzRy7h2Vf7U34uGZFJ\nVgwmQ44Q//ylObwW2qHO17lRIh4fB4NO2V0WIHvhkp29s/j7/3g9pUVZ78gC/tf3DqOzbxaXb6nF\nQ3duy+gYIpHGw1LotJDC44od9XjwHZvgcPvxo6c6k65dvvnYW/inn51I/2BXAW93T4MXgDKLeG1P\nt2jhZVgeA4BBz8LjC3+mw06T2blfRPOlD+3DJ26vWaKvpCgKZSWiTfyJC+JoXPfQQtpdJiUzOedC\nVakh7r8XTdECiN0Wu9OvJimrpEw4XFItWlYqFpMWDpcfgiBIu6KV1vgXPwCoKjVIN59MLHwjMWiJ\npkWZ42GkmBqcWEz5uaNZyicoMWnBMpRUsEXD8QIeffas9P+r2W7W4wsqXs8CABqWgVbDZFy0zNjE\nnexkYyIElyeAbz9+Ek6PH5+4ezse/vA+WaGScjHqNTDq2ZTcw8h3q6WuBO+8ai22rK3A8bMTeO3t\nxGNiNocPU/PulJwEFxzeVfX9IKNhl2+tA5BZp4WVMXlh1LNLNk1IJ9GSpU2uaPQ6Fgbt8qV5uUWH\nBYcPnX2zAMSfu2d4ZU0eef1BLDh8qK0wxn1MkRUtITG+OiKmkiJSp0UtWlYsJSYtOF6A2xuUNjYq\nE+zYAOIOFhkRy7amxeOTtwtGZuU9eVp4EIOA0WmHNHcvl9FpB4DM57nJzuF8nJGZgyeGcWnMjuv3\nNMIUtWhYbRRL0QKIupZMwyVJ8S7HmEIQBPzoqU5Mzbvx3hvacMeVrVlxAIymwmpIbTxsYhGVVj0s\nRi1omsJn7t8JnZbBfz7dGbe7GOQE6ft4QeY4ZCDI4X997xD+35NnZB9bsTM24wTLUGhrInrE3I6H\nmfQaeP2cVByRTgsZh8wXZSV68Lz4GWmuFUcfLwysrLHZ6dBGRU15/NG7oipaVDG+SrpwatGy4ol0\nECO7omS0IxFtTaLDUNY6LbrULI/nJU1LMC+jr6QDFOQESVQqFxKq1pgF55zy0LgD2VAguDwB/PdL\nF6DXMnjwjs0wGjSraic5EkEQ4PUHFZ/RQjAbNRnntJAgv0UZ2phDHSN49e1RtDeX4S9u3ZjR+yai\n0qqHwx2Q1T1ddInTIC31Yfen+kozPnTHZjg9AfzHk2difs99gfDi+/yAvKT3gfFF2J1+TMym9j0u\nZpxuP8wGLbSsuHzNpNMiZ/IiOrjY6QmApsRiJp+QcTgAePCOzQCAcytM60e6qyun09KgivFV0oNY\nHqvjYSsXsvPlcIdHSCuSjIcBwLuuXov337YR+zbXJH2sHFLRtLi9AbhCizSOF+BP8wacCpHHNZTi\niBjZ5awpj39TkUt5iR5BTpAWA4Rf/akbdqcf9964ARVWA4w6VjpHqw2fn4MgiHP1xYDZoIHTE1hW\niKYCKfaT5b2Mzzjxn093wqhn8YUP7AGbQ6MC0rGNN84IiGOeHMdL36mWCPcnAHjHFa3Ytq4SJy5M\n4lDHcr2OLxA+Z3J30LuHxBBNuV3dlYDTE4DZqJFyotLWtMiwPAbCm1kkb2fR5YfJoM37BijRAZZZ\ndNi7sQYNVSZ0DcxLG7IrAWJyULtSOi2lFh0qrXpcUrNaVFKE40inpag+8iopENlpmbN7oGFpWIzJ\nd8NKTFo8cHN7RmGJkRBrWo+MXdlofV4+OgqR+TGp6FoEQcDotBN1laasOFnFEuOPTjvw/JFLqCk3\n4q5r1wEQNQUeb2BVGrAUS7AkwWzQQhAy02e5ZXRaAkEe333iJDw+Dp+6Zwdqc+DkFEnY9jj2iJjN\n4cPHv3kQ//dnJ3ApJMKPLlrImJhey+DRZ88uGxOL7LQMTzpkJb2Hi5bVUdQLggCHOwBzyE0LyKDT\nIsPyGFieAeZw+2XdV7INsYm/bHMtaJrClrWV8PiCK8ptjmS01KyUTgsgivHnF30JXWdUVKIJh0sW\n+EBUcsbSosWLSqshJ/PtySC74h4Z3YHonVs5z8mUyKJlaMIh+3k2hw9ubzBroWrE2S3yWv7T586D\n4wV89N1boNWIxZ9Rz4IX5Id1riRI4WsoovEwIDPbY1K0JNK0PPFSF/pG7bhhbxOu3d2Y9nvJhYyZ\nztpirztGphwIBHmc7JrCk3/uAQC01Jcse1xthQnvu6UdLk8Ab12YXPJvpNNCFuMXB5OPiPUMr66i\nxeMLgucFmI1asKRo4dK7LojjYckXBFZyX3GKJi9Otz9nIvxE7NpQjc2t5XjnVa0AgC1rKwBgRdnB\nT80RTcsKK1oAVYyvkhpkXIFRLY9XLKRoWVj0wub0oVyGniUXhN3Dkt9Myc5tOHk5D0VLxAJncFJ+\np4U4hzVWZyf/ooJ0WkKF28muKZzsmsL29ZXYH3IGAsKz46tR10KK2KIZDwsVLXK6BPEIj4fFfo1T\n3dN4+nAf6itN+Kv3ZM/aOBHJslom58Ip3nanHyxDx9V9tYSSzm3OpRlFpNOybX0lgOSLUbvTh4nQ\n+3r9+dHDFRoyMiiOh4nL12Aw9Z9bEISQEF9Op0XcXFl0+eDxiTlV+RbhA0BVmQHf/vTVaA1ppVZk\n0TLvhkHHJDTFoYQ8fNI7Ojpwzz33ZOW1/AEONqcPJoMma0Iojy8In5+D1axDrta0fr8fWm3+P+iF\nQmk/r9fPYdHlg8WozfuohdLORSHIxzkIBHksOLzQa1lJvJwtR7BUEATRtlWrYVAaJe6PPg8ubwAu\nTwAahkGA41Bm0Us341zhdAfg9gVAURQEQUBVqVHWdc/jC8Lh9qPEpMsonZ2cA3+Ah83pla7lc3Yv\nOJ5HeYlhiRWpw+2HxxdERYlhxYXDJvtekM+0Sa+BKYs2vrki3ets5HlYcPik/InqsqU7rrwgYN7u\nBS8A5SW6nOpYIglyPOYXvTDoNDFHg1yeAFzeAEx6DVzeAFiGjptlRF7LqNNIRR4AON0+uH0czAYt\nnJ4ANCy9RHwdDVkLEeR+j4uBeN+LyHOn0zJYcHhh1GvSsrieXnBDyzIoTXCOAcAf5GELfQcNOhaz\ndk/O7y1y75ezdi8gCEldMouFGZsHDE2hvESPp556Cnv27Fn2mKLrtLBSdZ25YFUQxN0Kh9sPf5CD\nfwUG9aiorBZIcCixwCyUUxxZOMjZDpI6gKHFOJ+H3VIBS8dQ5FqGEl1YtswsyGQGH7Kp5ngeBp1m\nWXYCGfHLx7lRGmRPsRBjjulAHJ38gfTvpZH7qNG/80WXH7wgwGzQ5K1gASCNEfF87O8KEUMbdCxK\nzXppdz4WdJzPsxBhFqNhaQSCfEKRNdFykM8G+V6vZMjpoKjwdTbXPza53PFCxJi5Qr6PWpYGLwjS\ntbmY4QUBgpBcZ5S3LefBwcGsvdaD//gH0BSFn33l1rRfo2tgHt954iRmbR5UlxkwveDBB2/fhPtu\n2pC144yko6MjZtVYCDy+IH787Fm894Y21GdpPj0aJf28AHDwxBC+/+vT+Oz9u3DTvua8vrfSzkUh\nyMc5WHB48ZdfexkMTYHjBXzsrq1499Xrcvqe8bjvS79HfZUZ//Y31y35++jz8PWfvokTFybx4Xdu\nxs9+fwF/+xe7cf2eppwe2/ee6MCrb4/iL27diF+8fBGfvncHbt3fkvR5//iTN3Cyawq/+PrtGY1H\nkHNgd/rwga/+AZtayjE0uQiaovDIF29atoP56z9144k/XMQ/fvwAdrdXp/2+SiTZ9+LI22P4zhMn\n8Yn3bMMdV63N45Glzye+dRDziz784uu3yy4sIs/Dx795EBOz4tjTD//uBjTViOOIz73Wjx//7hx2\nbajC1z52IK+bEoIg4L1ffAHNNWb8a9R3GgC+8IPX0Ddiw1PfflfSRZfXH8S9X3wBu9ur8Y8fPyD9\n/ff/+xAOnl7EVx/aD5+fw7cefwv7t9bi4Q9fHvN1vvrocZzqnsblW2rx5vlJPPL3N+bsfp5v4n0v\njnaO41uPvYWP3bUVO9qq8OnvHsLtV7TgU/fsSOn1Pb4g7vvSC9i7qQZffWh/wsfO2T340P/5I67e\n2YCb9zXjK48ex/tv24gHbm5P6T1TQe798qXjg/jhb8/gU+/dgdsPtOTsePJBz/ACPv/913DnNevw\n0J1b0dHREfNxRddpAURdy6zdC5vDl/zBUfC8gCf/3IO//+HrmLd78P7bNuLrf3UFANGxYzXw1oVJ\n/OnEMF5+Y6jQh5I3yGaymtOyciELabI7WSnD7jhX6LWsLMtjcdSAkdr7edG0hMTd7WvEfBq5DmKj\n0w5YzdqszXOXmLRgGQpdg/Nwe4P4wG0bY45cGENjwPkwKVAaxIWrWDQtALCjrQoeXxC9aaZ1R/6e\niR12/6gNP/v9BVjNWvzN+3bn/TpOURQqrXopCDaaqTk3qsuNsrqQei0LrYbBoita0xLu1lyxvQ6b\nW8vxxrlJnA0loEfC8wK6hxdQV2GSRMuZOLYVC0TnZDZoIzQtqU/dkHuEPPewsOUx0dQUQtMSi61E\n19Jf/LqW8ZBmMpmdfnEWLaG8lv4UrY9tDh++9uPjePzFLpSadfinT16JB25uR22FCTotg6EURKnF\nzMiU+OEYnV49gVSkra/mtKxcWIaGKWJxJydYMlfodawsR585uwcVVr20MM+H2NwXMgjY0CwWLXKu\nA4Egh+l5d9acwwBxIUhsPNfUWnBbnJ1Ck0H8nbpWoRCfFJjFEi4JiEULAJzpm0nr+ZGLb4dLdGz6\nl1+eQpDj8bkHdkufmXxTWWqAzeFbZrHr8QVhc/pQm0J2kdWsXWZWQIT4Rj0LiqLw0XdvBQD85Llz\ny8bExmaccHkC2NBclnKYbTETLho00DChnBaZ462RcKHnyNHIaVgaRj2LRZdfsuEuhOVxLBqrzSgx\naXH+0mzOjRjc3gC++uhxPHekPyev3xkqzjc0lyZ8XFEWLesbRfeEVEImz/TO4DP/fAhv98xg76Ya\n/ODz12HrOtGlg6YpNNVYMDrtlD7MK5nRaceSP1cDRDugdlpWNpGz5IUUJxp0bNLAt0CQg93pFwMU\n9flbeHj8QbAMBbNBA6OeldWxHp91gRey5xxGIN2wj925LW72i0G3it3DiiynBQC2r68ERQGne2aw\nsOjFT587J/tew3H8Ej2Mwx2AzeHD8KQDezfVYO+m7ATApgPZBImOWwineMvPiikxaWFfVrSI9yiy\ngbGhuQzX7WnEpTE7Dp0cWfLYs/3iAm/ruopVVbQ4IjotLCvey9PJaZG0hDIzEKwmHRZdPun9ldJp\noSgKW9ZWYNbuxfRCbGe7bCAIAn7w69M41T2N3xzsyfo6WRAEdFycgtWsRVtTWcLHFmfR0kRsj5OH\n6giCgF++fBFffuQYFl1+fORdW/Dlj1wupZwSmmssCHK8ZCG4kiE7q5NzLsmlZaXDCWrRshog40U0\nhWXOXfnEoGOT2pCSYMmlnZbcLzx8fg660M691ayTkp4TQVK+m2qyOzP/oXduxmfv34kdG6riPoZ0\nWvJxbpRGsVkeA4DZqMW6xlJ0D83jc//6Kp59tR8vvD4g67lk4U064g63H1MLYlHQWF1YvYYUMGlb\nujgkdse1CQLxoikxauHzc1InDVjaaSH85e2bodUw+O+XLiwpSjp7xaJlR1uV9NmQM46qVPwBDr0j\nC0kf5/REWh6LnZZcj4cB4n1l0eWXsoMKkdMSj7D18fIxwmzx3JFLONo5DpqmYHf6caY3u+81ML6I\n+UUfdrdXJ12jFWXRUl6iR6lZJyur5Y1zk/jFH7tRVWbEtz99Fd5z3fqYJ2VNrRgENbTCdS0cL2As\nNDvIC+IO6mqAT/EipVKckJtJWYk+K6nt6aLXMhCE8ChWLEjRUllqgFHKacl9N0G0gxZv+NbQji+f\nwKUIAPpCG0QkJytbbG6twE371iR8jDHUaVmN42HFFi5J2NlWhSAnwOYQP+Ny76ukMCVdUofbLytw\nLh9Uhjot0VktpNNSUy6/00I2TR2u8Gc6UtNCqCoz4D3XrcP8og9PHeoFIN7LOvtmUVVmQG2FURod\nLOZOy+9fH8Df/ttrONObeKQwVk5LOp0WLsXJixKzFkFOkH7XSum0AJFFS/Iw0nSYs3vws+fPo9Si\nw999YC8A4NW3R7P6Hie7pgBAVie1KIsWiqKwrtGK6QVPwhArjuPx2AsXQNMUvvbQfrSvKY/72OZa\ncewhUzG+IAj49cFuDCtUHzOz4EYgyEt2gaNTq0PXoo6HrQ5Ip6WQehYgvPDw+OMvJAbHxUKgtsIk\n7a7mJ1ySkxY6VrMOPC8kLQj6RmygKGBdgzXnxxeNMdRpWY1C/GIcDwOA2w+04Irtdfj6J65AXYUJ\ngxOLsmbuiZ6FFCgOdwDTC8ooWipKSadl6XgY6bTUpNJpCV2n7BFifF+Ah1bDLHNcu+f6NpSX6PDM\n4X7MLHgwNLkIh9sfGsOjVsR4GBkffP3MeMLHOT0R42FMapbtkUialhQ6LQCkDV+laFoAoLXeCoOO\nzVmnZWLWBY4XcMvla3BgWx2qygw4fnYCvgxszaM52TUFmgJ2yXCHLMqiBQjv+EV3W/pGbHj4R0dx\n9Mw4/nhiGGMzTtxy+RrJNjEepGjJVIw/OLGIJ166iN8c7M3odXLFyJR4cdgYKuBWi64l1Xawnxly\nPAAAIABJREFUSnFCdsAqCugcBoQXmd4EupZT3eKu4s62qrwuPLz+IPQ6sdNCgtUS6Vp4XkD/mA31\nlWZpjC2frOpOSxGOhwFAdbkRX3xwH7avr0JzrQUOt39ZAnwsyM9LQiUdLr+0u11d8E6LeE2ZW4we\nD0tD02IWr1ORm66+oCB1XCMx6Fh88PZN8Ac4PP7SBWk0Z/t6caSSPKeYi3oycvfGuYmE2TROTwB6\nLQMNS4OhKdA0lVGnRW433hrSSk7MusDQlKI2ERiawqbWcozNuLAQ0lu5vQGc689OEUM2Ekx6DWia\nwjU7G+DxBXHywlRWXt/h9qN7aB7ta8pldbCKtmiJJ8Z/4g9d6OybxbcefwuPPN0JnZbB+25J7qdd\nVWqAQcdm3GkhFyGlOpERPcuBbXUAwk5iKx2p06KQUCiV3KCUToueFC1xOi2BII/Ovhk0VJlFq1SG\nhk7L5Hw8jOcF+AJLOy0AEupaJuZccHuDaGvK7miYXFazpqUY3cOiWVMnjl4PTyS/t7p94ue/Wuq0\nRBQtZYXutITGw2zRQnwXzIbUUtmJYciSoiXAxy1Ob9jbjLUNVhzuGMUfjov6oB1topEQeY4nwSiq\n0iFW0jaHD91D8cecHO7AkvMshnCm/nOno2khz7OYtIoLeyXWxxcGxHP3X8+fxxd/eFSyEc4Ed9TG\nybW7GwGkPiLG8wIWHF4MjNvxdvc0DnWM4JnDffjPpzrBC/JGw4A8hktmG6nTMhYW40/OuXCqexqt\n9SUoMWlxpncW91/fhnIZFokURaG51oK+ERsCQV6al0wVMnM5MuXI6HVyBem07GqvhvalLozOrLJO\niwyLQ5XihWhaCpnRAoQ7LfEW2l2Dc/D6OezeGG6HG3Vszhfm/gAHQUBY0xLa8bU744/Z9o2IG0PZ\n1rPIRcOKIzOr1T2MZWjF3UdSYU3EFEMiwwUg3Gm0GEVnO4fbD5+fg9WsLfjuttWkA8tQmI3QtPC8\ngKk5tzSpIReyCF50Ro6HCaiJU7TQNIWPvnsLHv7RMYzNuNBQZZa6ySthPGzO7gFNiTrb42cnsLMh\n9uNcbj+qIopXDUOn12lJcTyMXCcBZelZCJtbxaLl3KVZHNhWhzfPTQIQ9VaZBo6SzxXp6LXUlaCp\nxoKTXVNweQIwySjWA0EOn/2Xw3E3yWmakjbSk1G0RUtVqQEWo3bJeNgfjg9CEIC7rl2P6/c0YmzG\nmVKuwJraEnQPLWB8xintDqUKmbnkeAGj0w601ud/BjwRo9NO0DSFhiozGqrNGJ12gueFFa/1UDst\nq4OdbVVY22AtqDUqEC4K4nVaTl2cBoAlCe9Gfe6LFm9oN5bs3BOHtUSjO6SbXahOCyB2W1Zjp8Xj\n4wq+WM+UVExuyO/YqGdhNmphd/qx6PKjtT69+3E2oWkK5VYD5iLcwxYcXviDfEoifEA0wADCnRaO\nFxAICtIoZCy2r6/C5Vtq8eb5SWwPdVmA8He5WMfD3N4A3N4gdrRVomfYhuNnJ7CjfrntLccLcHmD\naDVGd1pyPx4WaaWvJD0LYUNzKTQsjfOX5tAzsiBdz+U4QybDE9osIrpLiqJw7e4GPPHSRRw/O4Gb\n9jUnfY1XTo5gZMqJtqZStDWVotSiR6lFh1KzDmUWHWrKjbLzl4r2akhRFNY3WvF2zwycbj90WgZ/\nOjEMi1GLq3bUg6KolDMFInUt6RYtDnd4N3BwYlGRRUtdhREalkZjtQUD44uYtXsK3nrPNbxqebwq\nqKs04ft/e12hDyOppuXt7hloWFpq6wOAQa+Jm7idLUgRpZM6LcnHw/pGRRH+2gKI8AlGvWbVdloM\nIf1RsVJfZQZDU7JGpqVRFB2LEqNGcq0rtJ6FUGnV4+LQAjiOB8PQERktqR1fSVTRIu1mJ9Eufeyu\nbQhyPG7b3yL9nSGPGU+5gLgo1laYYDXp8NrpMUzalm82uzzL0+g1LJ2WED9VN9ESk7I7LRqWQfua\nMpy/NIfDHeGxLVuCDrpcwhsJ4WLtmp2NeOKli3j17dGkRQvH8XjqlT6wDI2HP7wvY71p8facsXRE\n7GjnBBZdfty0rxlaTXoXeeIDn4kNsNMd/pCQbAOlYHeK4UikmGsK/bx9Izb87PnzeC3LNnZKguNU\nIb5K/gjbkC5faC8senFp3I4trRWS9gUQ2+8+P5fTgFvSaSFFVbJOC88L6B+1obHaXNAd/3x0oZSI\nWLQU7d4iAHFh2VBtxvBkcgex8CiKZsniMJW0+VxSaTWA5wXp+0IE5FUpBtmSnXviHkYK8mSGCzXl\nRnztYweWbCAYQhsQxVq0kHNYWWrAge3iiNDFkeVBiU4pWDK8eGbTHQ9LtWhR+HgYAGxprYAgAC+/\nMSj9XTY6Le4YDoZ1lSa0N5ehs3cGC47EG22vnxnHxJwLN+1rzopBTlEXLetDRcuZ3hk89vvzoGkK\ntx1I7PmfiPpKcRE/loF4iYQfAcCAwooWIsInxRkpXr73Px14+nAffvWn7oIdW65ROy0q+SS8+7m8\n03Ls7ASA5faOxjzsmIaF3fI6LWMzTnh8nHStLRQmvQbeHBd0SkMQBHhXQNECiCNiHh+HmSSp3ZGL\n98jFoVI6LeUhgw+y0CZdgvIUF2MWowYUFdFp8S7VDaQCw9DQapiE9upKhuTeVFr12LOxBhqWRles\nokUKllzaaUmvaEnV8jhiPExBwZKRkLyWICegvlIcV8zOeFjsLuA1uxrAC8Drp8M21V5/EEfPjEtF\nIc8LePLPPaBpCvdcvz7jYwGKvGhZF3IQ++0rvZi1e/G+W9qlwiMdqssMYGgKEzPpd1ocod0AvZbB\n4LiyihYiwifFSmMo3ToQ5KHXMqIf9wpdFIR3Vor6I69SJJAwwGhNy8S8H//1/HkYdAyu2lG/9DlJ\nxPvZwBcqokiHR3TCiS/EJ5rBQhct0rkp0t3kdAgEeXC8sKQbV6yskRkpEJlLE7k4VMr4Mgm9JGOc\n8yGL2VTdChmGhtmgkYqWWCM4qWDUsWlpWp4+1LtkZ74QkHNZYRUdXHdtqMa0PbjM+coRo9OiYWkE\n0sppCW1iyjTmMelZqcBRoqYFADa2lEubsmRkS47NeDKIo1/05slVOxtAU1gyofPM4X586/G38MLR\nSwDE/JWhSQeu2dWQkiV4Iop6BVdTboTZoIEgAJtaynHvDW0ZvR7D0KitMGJ8NoNOS0jTsqmlHPOL\n3oThl/lG6rSEipWWuhLcf/MGfPWh/TiwrU5MfA0Fea001HBJlXxCclAiuyY2hw+/fG0O/gCHv/2L\nPct2j8mCJZcLc09Up4WhKViM2rg7cr2kaCmgCB+A5FCzmkbEijVYMhbNMsX4kbu6kZ2WQgdLEqSs\nllCnZd6eXtECiDqJxdBmAVkYJtO0xEOvY9Lq0P7ij934ye/OZTUoMFUix8MA4MC2WgCii1gkZG1l\nXiLEZzIcD5O3BKYoStK1KHU8zKBj0RbaXLp2dyM0LJ2d8bA4nZbyEj22r6/CxaEFKWD1jdDv7OlD\nfQgEOfzmYA8A4L0Zrs0jKeqihaIobFtfCbNBg8+/f49sJ4hE1FWa4XAHpKo+VZzuAAw6VtLbKEnX\nQoIkSaeFoih84LZN2LupBg2hkbGx6ZWZ26KGS6rkk2gb0kCQxzcfO4FFN4cP3L4R+7cut3ckN4Vc\nCs6JpkUXkfthNevi3tz6R+2gKWBtgQ1FjLrcnxulsZKKljV14j0nWeBd5Px85I62UsbDpKyWULEy\nt+gFRYW1YalQYtJh0e0HzwvhhWGav2uDjk25aOE4Hj4/B6+fk9wMCwEpWkjhd9nmWlAUcPxcdNEi\nrskshqXjYTwvJAykjEWqlsdAeJRWqeNhAPDX9+7Alz50GarLjLCadQlDg+Xi8QahYWlo2OVa8Wt2\nid7UR06PYXrBjUvj4v1izu7Fv/3ybXQPL2D/1lrJQTAbFHXRAgBfeP8ePPqlm7K2E0MsktMN5XF4\n/DAbNWgJuY8NTNiTPCN/jEw7UWbRxQzBaqwSbyqZ6HmUjNppUcknke5hgiDgkWc6cWFgHluaDbjv\nxg0Jn5PT8bBQp4WIdwFxweVwB5a58HBEhF9jKfiIklHttBQ1dRUmbGopR8fFaZzqjr9A9viCoCjR\nyIIsDkstOujSNNfJNqTTQrJa5u1elJp1aW2Ylpi0oYIlEBHgl97okUHHwusPJjU6iCSyyDnWOZ7g\nkbllzu6FUc9KnWarWYc11Tp0Dy1IehcgrGkxGZcK8QGk7CCWziZmuNOizPEwAGitt+LANnHsuNSs\nhc3pT+kzEQu3LxD3GnRgez1Yhsarp0Zx4ryYDXPfTe3QsjReOz0GALg3zv0uXYq+aNFqmKy26+qr\nxLm7sTR1LU53ABaDFi0hX3ml6Fq8/iBmFtxoqoltA006LaMrttOS+s6Kikq6hN3Dgnjx6ABefmMI\na+utuHN/Wdw0ZXLTzmXeAjEGWNppWWq/ShibdsDrL7wIHwjvQLvUTktRQlEUPnH3dtAU8MjTnXFT\nzN1ecYFEh8YWAaBGIXoWACiz6KSdZEEQMGf3pDUaBoQXwXaXX3IZTHc8zKBjIQiAzy9/zCtyA+DE\nhcm0kuWzwazNs8xValOj+P9vhEISgXCchCUqpwVAyiNimRUtyu20RGI16+APcFJ3PV083mDcz6XZ\noMHeTdUYmnTgd6/1AwBu3b8Gt+wXDbF2bqjChublmTuZUPRFS7Yhrgvp6FqCHA+PLwizUYOGKjO0\nLI3eEVvyJ+aBiVkXBCFcnERTV2kCRa3cokUNl1TJJ8Q9rHtoHo/+7hysZi0e/sg+aBMkm0vjYTFs\nkrOFL0rTAoRHW6JHxEhGhiKKlgSdFrc3gDO9M/k+pJxDMn5WQtECiDk/77iyFeOzLjxzuD/mYyIt\nnsniVCl6FkDUvZaV6DFr88DlCcAf5FFekp6NKxk3WnT64+oG5BI9jiqHyMe6vUGc7sn/d8jrC8Lp\nCaAyqvDb2CT+//Gz4Q4QCe42R4yHsVLRktrCPNVwSQC4Yls9drRVphRYXkhKLckzuOTg9gUThp5e\nu7sRADA558b6RisqSw24/6Z2XLurEQ+9e2tG7x0LWd+Q73znOzh16hQ4jsPHP/5xvPLKKzh37hzK\nysQK6qMf/SiuvfbarB9cISDuY+k4iLk8YaEYy9DY2FKOs/2zS7JbCkXYOSz2F06nYVBVZlzB42Hi\nn+p4mEo+0LI0aEp0xmEZCl98cB+qy4wYSfAcYx7Gw6JzWgDAGrq5Rc8/94VE+G0FFuEDonsPEFvT\n8sQfLuL5I5fwpQ9dJo1GrATIolJf5OGSkbz/tk14/cw4fn2wB9fublxWkLi9Qanzt6auBNvXV+Lq\n0Ny8Uqi0GtA/Zpdcr8oz7LQsunxL8mnSIbJokbuvTa4zW9dV4Fz/HI52juOyzbVpvX+6zIXc1yqj\ncm6sRhZtTaU42z8Hh9sPi1ErCfGz0Wnh05i8uHpXg+I+i4mIzOBK17mL5wVxIyFBMX3Z5loYdAw8\nPg6Xh7SapRYdvvCBPWm9ZzKSlplvvvkm+vr68Ktf/Qo//vGP8Y1vfAMA8IUvfAGPP/44Hn/88RVT\nsADil0fD0ml1Woh4n7QPt6wVw34uDM5n9RjTgXRQmqpjj4cBQGOVGTaHTyq+VhLqeJhKPqEoStKB\nfOLuHZKHfiIk97BcFi2hxZEuotMSL6ulb8QGmoI06lpI4p0bjhfwemh2+pd/7M54fltJSCNDK6TT\nAojjJB9+5xb4Axx+8ruzy/7d7Q13WvRaFv/0yStjmlYUkopSPYIcj4FxsROZjfGwsKYls05LKs6D\npKO7s60K5SV6vHVhKq33zoSwCH95t+rAtjrwvCBpJZyeAChqqS20Jl1NCwmblml5XIxI1/UMxPii\nTipxB1CnYXDVjgZQFHAgD9/VpEXLZZddhu9///sAgJKSErjdbvA8v6JuDpHQNIW6ShPGZ10p/4yS\nJV9olIEsVM73z2X3INMgOqMlFpKD2Arstqjhkir55t4bN+DD79yCW/fLC7w15CVcMpTTEqFpKQ3t\nbNsislo4XsClcTuaa0uWPLZQxHNW6xqYw4LDB5qmMDC+KC1wVgIeaTxMucLfdLh+TyO2rK3AG+cm\ncbIrvFAOBDkEOT7tbkO+IAvsnuEFAKL1azpI42Euv/S5zsQ9DEhvPMxk0KCu0oRFl18ao84XUrBk\n6fJzeGCbuAAm1scOtx8mvWbJPZzNUNNCr+DcNmtEpyVd5OrqHrpzK/7ls9diTV3uN7iS/sZomobB\nIH5Jn3zySVx33XWgaRpPPPEEHnzwQXz+85+HzaYM3Ua2qK80we0NpvzLjk5sbV9TBoamcP5S4YuW\n0Wkn9Fom5sWBQGY1V6KuRdpZUYsWlTzx3hvacHcKKcD5sDyWcloiRo5I2vOiK3y9G512wKcQET4Q\n3l2N7gIfDbkeffRdW0BRwC//tHK6LStxPAyIEOXTFB55phP+UEZIpt2GfEH0F73D4ron3U4LKXZG\nphxhq+cMOy3eVDotEToa0nn15zmvZdYWDpaMprHagqYaC97unsaZnhlMzLpQVrLUWjqfQvxiozQL\nRYvc0FOjXpO3LC/ZZebBgwfx9NNP48tf/jLuvPNOfOELX8Bjjz2G9vZ2/Pu//3sujzHvEF3LeIq6\nlujEVr1WnMvsG7XBFyhc0jzHCxifcaKx2hzXuQgQx8MAtdOiolIIyA5zLsMlfbE6LTE0LX0hA5H1\njYXNZyGETQrC54bnBRzrnIDFqME7rmzFldvr0T9qX7J7X8ysJPewaFrqSvDuq9dics6Npw71ASie\nn5cssPvHxPGwdDstLXUlKC/R48T5SThcflAU0rZ2TqdLKxWJOlYy5shnyKTD7ceFAXFDN1rTQjiw\nrQ7+II+vPHoMHC/gL9+xecm/S+NhqRYtaeS0FBtEG2Z3pq+pDmutlPOdlHUkR44cwaOPPoqf/vSn\nMJvN2L9/v/RvN954I772ta8lfY2Ojo60DzLfBNziov34yfPwLsgXMHV1i8+bnhxBR4f4ZawwBXGR\nFzA65y/YOZh3BuEP8jCwgYTHYHeLH9Bz3SPoqHZn/L5K+p0vLIiLsDNnTid0cMoVSjoXhUI9ByLx\nzkMg1A2cnJrL2bmamRNHWs6dPS056Xn84g18aGxaet9jp8THBV2T6OhYyPpxpPrzkWMcn5yVnjs8\n48P8ohe71hpx5vTb2NbA4fUzwE+fPQXKXZ1wg0ZJxDsXw6PieR/o74FnvjhsVlNhYzUPs4HGbw5e\nxKfuqMXk250AAOfigqKvFXPTYnFPdBQjA92Yn0iv2Fhfy+JEjxe9IzbotRROnTqV1utMjosbrBd7\n+mHi5RXt/QNiHMPo8ACci+L9/q2O0ygz536B+ma3E386bUOQAww6GhPD3ZgbX3pf7ujoQCkrLrh5\nAbh7fxk0vnF0dIQdxWZnxMLx3IUuuObkF49Dw+K4/MDAJegCE0keXRgy/Q4susUCdGB4Ah0d6RUu\n/ZNiJ2xhfhodHd6MjidbJP10Op1OfPe738XPf/5zWCyiHuIzn/kM/vqv/xrt7e146623sGFD8vCY\nPXty4ySQC7TWWTx/4ii05krs2bM54WO9ftEq8PItteiZ7QZgw46tG7GjrQoAIBincPTCGxia9uG+\nO67Mw9EvR9x5nMSOTc3Ys6c97uMEQcCPXnwB7qAm499XR0eHon7nz548BkzMYO+e3TGTXXOJ0s5F\nIVDPgUii8yAIAugnx6HVm3J2rp547TB0Wg6X7d275H3ZZ54HxRik9/3V0ddA027cdsPlWQ/2S+ez\nwPECqKeeA8WGj/HU784CmMG7b9iOPZtqAABnRk/gWOcEKHMT9mysyepx54JE5+K1nlMAXNiza3va\n7j9Kh9ON4rtPdOAPJ234yHv2ApjGmqa6pPfdQtIw58LPDh4EIIYbXn3FZWkXyLrSWZzoOSr+t4ZO\n+3vv107gmeMnUF3bgD175I2knh47B2ARO7ZtxoxnGJ2Dg9jQvgnNWUwvj0WQ4/Gdp1+CXqvBfTdt\nwE37mpdln5DvxW5BwLy/C631JbhmV+Oy1+pf6AHOdWHtujbsbq+WfQwD9l7gbTvaN7RJ1w4lkY37\nZSDI41+efR60Jv37ia9zHMAs1rc2Y8+edRkdT6rEK9qSFi0vvvgibDYbPve5z0EQBFAUhbvvvhtf\n/OIXYTKZYDKZJEexlQK5QUzNJe82PHO4H794+SK+9rH9cHiWCvEBYFNLOSgKGJrOzCs7E+SI8AFx\n1nhdYynOX5pDz/BC1kOBComa06KidCiKgkHLwOvPrRA/MqOFvG+pRY+ZkJMPx/G4NL6INbUWxSSR\nMzSFdQ1W9I/a4PEFodcyOHF+EgYdK20QAcADN7fjWOcEfvnHbuxuL55uSyyKZVwqE67e2YCX3xhC\nZ98sDp8aBZB8fr7QRGpYyq36jD5jm1orUGbRYcHhg06T/gSAURLiyx/vkkZ/IjQtmQYRyuHCwBzc\n3iDeeVUr3nNd4gKLoig8eEf8ApZNdzws5Ca6ksfFNSwNs0GTUU5LpvlBuSDpkdx333247777lv39\nXXfdlZMDUgLlVj1YhsbkfHJNS2efGMjUM7Qg5bFE7hqYDBq01lkxNGlHIMjlfZcfCAvr42W0RPL+\n2zbiSz88iv98uhPf+8w1K+ZLHXYLWRk/j8rKRKdlpVDBXCAWLcsv+21NpTh+dgJT8254fEH4A8oR\n4RN2tVejb9SOs32zqKs0YXLOjSu210liXABorbdi/9ZavHFuEqd7ZrArhd1XpREW4itnwZBtiCj/\n0999BX84PghAWQukWGhYBqVmHWxOHyrS1LMQGJrCgW11ePHYIHSa9O9NmWpadHnUtBBr5cs2ZZ4J\nk3ZOS2gUl13BlseA6CCWDU2LQUEbCSvX7y0DGJpCTbkBk0k6LYEgh54hce64f8wOhzscLhnJlnUV\n4HigZ7gwLmuj0w7QNIX6yuQjBtvWVeKaXQ3oHbHh4FvDeTi6/MDzAmgKRb3zqrLy0ee60xLqUkSz\nNWTPfq5/Fn0j4jUtX24wciHjXh0XpySx/WUxRjvuv1kcgS1kbovXH0w5pTsajzcIlqEKosHLJ001\nFhzYGN5QK4bOUkXIhTPdYMlIrtwhBqLq2AyKlgwsj416jdRR9eWh03Kyawo6LYOt65JnVyUjXLSk\ndtxh97CV/d0qteiw6PJJP2+quBWYFbWyf2MZUFNhWuKfHoveERv8oQq/f8wOp9sPmqaWXXSlvJYC\nWR+PTDlRW26U3eX5yLu2QK9l8PiLF6TuUbHD88KK9mRXWRnodWwexsOW34C2rqsEAJztn0XfqChu\nVVqnpX1NGYx6Fqe6p6WiJZZuZX1jKfZtrkXX4DzO9s/m+zDB8QI+88+H8Y2fv5XR6zg9ARj1mlWx\n0XLN1hLJSlhJC6R4VJQYQn9mXrRsWVuJW/evwe71ySch4kG+054UgmndXjGsUa9lpOfnumiZnHNh\ndNqJnW1V0GZh9DTdTgtxIdRmMJJXDFjNWvAC4HClt47zKHA8bGX/xjKgttwIAJiaj99tIUWIlqUx\na/NgYs4Fs2H5TWZLa+GKFrvTB4fbj6aaxHqWSCqsBtx/czvsTj/+5+WLOTy6/MEJgjoapqJ4xE4L\nl5MOQZDjEeT4mLkfLXUlMBs0ONc/h74RGxiaQksegsJSgWVo7GirwuScG2f7Z7G+qRRlcRaND9wi\nmsP88o/d+TxEAMCFS3OYmHXhVPf0slyZVHB7AzAZlDOWkUt0GhqfuX8X2teUYcMa5WspSacl3YyW\nSBiawqfv3YnNTbFtf+WQ7niYUceCoqiI8bDcbZgA4dGwbInfJU0Ll1rRMjQhOqeRbLqVCgmYTFfX\nEjlCqBTUoiUORIw/ORdf10KKkOv2NAEQ/bAtxuU3mVKLDpUlLLoG5yR/8HyRip4lkjuvWYv6ShNe\nPDqAgXF7Lg4tr/CcsKI92VVWBnodC0GA1MHNJt4YGS0EmqawZW0Fpubd6B21YU1dSVZ2QrMNcQgS\nhNijYYS2pjLs3VSDc/1zee+2HAsFXvK8kNF7u7xBmBS0w5lrdrVX43ufuQZllswLgVxTGcpqSTej\nJdsYJCF9CkWLLygtRsl4WDpC/HP9s/j242/hb/71MP7mXw8vyXuKhnRI92bJ2S+dTosgCBgYX0Rd\nhUnxpg+ZkmnAZOQIoVJQi5Y41FaInZZ4uhaOF9A1OI/6ShP2bgqLPc3G2H76a6p18Pg4XMpzATA6\nTZzDUitaNCyDj921DbwAPPLM2aJPmebVTotKEUD0JqkkW8vFF1rQ6GJoWgBIM+Y8L6BNYXoWQqSt\n6d4ku7UP3Cx2W37yu3Mpj4+kC88LOHZ2AqTZfqZnJq3XCQR5+AOcohYLKmFu2NuEW/evwb4tmYvJ\nswHD0NBqmJSCaT3eoCSwlsIl0yhafvFyN14/M45L44voG7XjuSP9MR/H8QLO9c9iTa0FVWXpd5Ui\nSadomV/0wuH2o6VeWZ3kXECK6mT67Hgo0T1MLVrikKzTMjhuh9sbxJa1FVjbEL7Bm+O089dUiRVv\nvkfEpE5LCuNhhL2banD5llqcvzSHI6fHsn1oeYXjBdXuWEXxkC5ILqxHyWvGa/UTXQsArFOYnoVQ\nXW7E+kYrasqNSTU37WvKcfO+Zlwas+OJl7rycnw9wwuYX/Ti2l2NMOgYnO5Nr2ghWsrVMh5WbFSW\nGvDpe3cqqqg06ljZmhZBEODxBaTFaCaWx9MLbpSX6PDr//sOWM1avHh0IKYWeGreBX+Qx9oGa8rv\nEQ+paElhgmVgXBwNa1XY+GsuaA+NWl4cnE/r+USIH6s7XyjUoiUONSFNy2QcTcv5AbH42LquAtVl\nBqlYiQ5JIqypFv/+XH9+ixYpoyXN2c2H7twKDUvjp8+dT2leVmnwPA9mhdsbqhQ/uey0kO9vvE5L\na71VGkdqU2jRAgD/56+uwD9/Vp4d+8fu2ob6ShOePtyH0z3TOT+2o6HRsKt3NWDL2krKrZ5TAAAg\nAElEQVSMTjsxG8q/SQUXKVoUtChWUTYGPYupeTd+fbA76b06EOQR5ARpAyMsxE/tusPxAubsHlSV\nGaHXsXj31evg8gYl++pIRqfEDdRU9LXJIOZCqXRaBkN6ltXQaWmuLYFRz+LCQHrrTrdXHCFU0pSK\nWrTEwajXwGLUYipGp2VwYhG/OdgDihJ3JymKknYP4nVarCYW1eVGXBiYk4IO88HotBOlFl3csbVk\n1FaYcPf16zG/6MVvDvZk+ejyB8+rwZIqyifcacnFeFio0xJn14yhKVy+tQ7lJXqsqcvewiLbWIxa\nSWCaDIOOxf/+wF4wNIXHXsxtt0UQxNEwg47Frg1V2LlBDL08ncaImNsTGsswKGeHU0XZvO+Wdhh0\nLJ546SI+//1XE4rTI4MlAaSd02JzeBHkBFSViuNe77iyFQYdi2df7Yc/6rWGQxuo2SxaSM5KKuGS\nRKPbWp+9jo9SYWgKG1vKMT7rwoLDm/LzPd6gokT4gFq0JKS2woipec+SImNg3I6Hf3QUdqcfn7xn\nB6rLxI4MGadIVBxsXVsBhzsgdT9yjS/AYXrBjabqzC4S772hDVVlBjz7ah/GZ51ZOrr8wqmdFpUi\ngAQJ5mY8LHGnBQA+fe9OPPL3NxYkBDdXrG8qRX2VCZOzycOCM6F/zI7peTcu21wDDctIRcuZNEbE\niOuY2mlRkcv1e5rwk4dvws4NVRiZciY0EZK0Cjrx86VLU9MyE+oiVoXWQWaDBrcdaMGCw4dDHSNL\nHjuSg6JF6rSkMB42OLEIg46R1m4rnc2t5QCAroHUR8Q8vqCi9CyAWrQkpLbChCDHY35RrFD7R214\n+EdH4XD78el7d+L2Ay3SY8nsYGVpfDcRktdyLk+6lvEZJwQhdRF+NHoti/tvakeQEyT3j2KDVzUt\nKkVALsfDyO59op0zDUuvyAT2ihIDnJ5AThO/iWvYFdvFsMDmGgvKLDqc6p5O+X1dqqZFJQ2Meo1k\nqJFIfE00J1KnJc1wyZmFUNFSGhbW33nNWrAMjacP9S0JNRyZcoBlaClOIhukKsT3BziMTjvRUmdV\n1MhTLtkcity4kEbR4vYG1KKlmAg7iLnQN2LDP/znMTg9AXzmvp24df+aJY+9Ylsd/uHD+3B9yP44\nFlvzHDJJZkgbazL3Il9TK+6OzNpSbzEqAY5XLY9VlE8uOy39YzYAyLjzWoyQ5PI5e+r6EjkIgoBj\nnePQahjsCTmcURSFGy9rxqLLjxdeH0jp9SQhvsIWDCrKp75CvN8nmoogLmPRmpZUrztS0RLhBlZh\nNeCGvU0Yn3XhjbMTAMTvx+i0Ew1VJjBM9pad4aJF3nGPTDnA84LiMqhySVtTKViGQtdgauvOQJCH\nP8hL3TiloBYtCagpFx3EXj8zjn945Bhc3gA+98Au3LRvzbLHUpQ4D54o26Cu0oQyiw7nL83mxUJ4\nRLI7znyRUhnaSUlHVKoEVMtjlWJAn0begly6BudBUyiK8L5sUyEVLbnZdBmedGBsxoU9G6uXdKru\nuX49TAYNnvxzD5wpBE26vMrLR1ApDmorE8c1AIk0Laldd2Zs4ntEdloA4O7r14OigN++0gNBEDBn\n98LjC6blYpqIVDstknPYKhDhE/RaFusaS9E/ak+pg08+IwaFbZyoRUsCSKflhaMD8HgD+Nv37cYN\ne5vTfj2KEgPc5hd9mEgwb5ot0g2WjEVZiR40TWFmIT2/70LDqeGSKkWAPgPr0UQEgjx6R2xoqbcq\nTliZDypCYYC5KlqiR8MIZqMW772hDU5PAE8f6pX9epKmRR0PU0mRulBcw0QCDZeUdB4qilmGBkNT\nGXRalo58NVSZccW2evSN2nGmdyYsws9yl5cNdW0SmQ5EIjmH1a18EX4km1srwPECekYWZD+HdHuV\ndr9Qi5YEkKwWmqbw+ffvkZLvM0EaEcuD9fHotAN6LSOl92YCQ1OotOrVTouKSg6RxjSyrGm5NGZD\nIMhjU0t5Vl+3WCCdlvksjIf5AxzGZpaO3hw7OwGWobFv8/LAy3de1YryEj1+99qlmPkVsVAtj1XS\nxWzUwmLUJCxaPETTErEg1WuZtIT4Oi0Di3H55/SeG9YDAH77Si9GQ0VLc4E7LReH5kHTlKLdEXMB\nEeN39s7Kfk50N04pqEVLAqrLDPiLW9rx5Y9cjmt2NWblNbeEAtxyLcbneAFj0040VJuztlivLDVg\nftEre1dDSfC8WrSoKJ9chUt2DYo7bBtXedGSjU7Lb/7cg099+8+Sder4jBODE4vY1V4Vc5xLr2Vx\nxfa6mMVOPFTLY5VMqK0wYWrevUQIH0ms0R+dlknZMGJmwYOqUgOoGCY3bU1l2NlWhTO9szh8ahRA\ndvS1kaRStDjdfvQOL6C9uWzVjV3uaKuChqVx/NyE7Oe4FTqiqhYtCaAoCu+7dSP2blq+e5YuzTUW\nmA2anIvxZxbc8Af5rLZjq0qN4AVgPkcjFrlEFeKrFAN6XW40LUSEuXo7LdkbDzvXPwdeAI6eEUfC\nSKDkFdvq4z6H6COn5+V1etROi0om1FWKzqdzcSYjwpbHkUULm1K4pNcXhMPtX6ZniYR0W3pHbKAp\ncWwsm5DxMDlFS2ffLHgB2BUyylhNGHQsdrdXY3jSgdFpeZEbUqdFHQ9b3dC0qGuZmnfndNQqm3oW\nArFzninCETHV8lilGAiPh2Wv0yIIAroG5lFeokN1WeajosWI1awDTVMZu4dxvID+UdGF7c3zkwDE\n0TAxmLM27vNqQjavU/PytIxE06K0XU6V4kDStcTRzrp9y3fRdZrUxsOiM1pisaOtCusbRf1ITYUp\noVFROlAUBZahZYVLvh0Ked0Vyk9abVyxvQ4AcPysvG4LMQ5RhfgqWN8kBlESUVguGM2icxiBXJyK\nsWjheCGrVosqKrkgF+5h0wseLDh82NRSEXOMYzXA0BTKLTrMLWbWaRmfcUqje4MTizjbP4u+ERu2\nra+EJUGwsGSfPy/PyMTtDUCrYaTxFxWVVKhNIsaPzmkBxGtPKmOp4aIl/kYIRVF47w0bAOTOal3D\nUknDJQVBwKnuaZj0LNpC66/Vxr7NtWBoSjINSQbRIZECWCmoV8QCQLofpBuSC6ROSxZnSMnFqdjE\n+HxorlfttKgonVzktHQNiqFiq1XPQqiwGjBv90rXg3ToHRG7LCTn4T+ePANguWtYNCR9e1pm0eLy\nBtWMFpW0qasUF5qTcTotHt/yoFmdlgHHC7I1q8Q5LJnRz/5tdfjg7Ztw/80bZL1uqrAME3M8TBAE\n/PtvTuOxFy5gfNaF6Xk3trdVrdrNS7NRi+3rK9E3al9yHeJ4AQsOLwbG7Us+L5dCmr21DcpyWlOv\nigWAzHXKFWWmw8iUAzQF1Fdmr0oms6uZ2B77Apxkr5gviLiQYdSiRUXZkGTqbHZaLoaKlk0tqy+f\nJZJyqx7csAC7y4cyiz6t1yCjYQ/c0o5vPfYWxmacoChgf4LRMEC0LjYbNJiSW7R4Aigxxe/cqKgk\nghQtccfDvMudoSJNQMyG5At7KaMlycgpQ1O476bcFCyAKMaPNR7WM7yAP745BCCsP1uNepZIrthe\nj7d7ZvD1/3oTNE3B5vDC5vRLGzkalsZ//cMtKLXocGnMjgqrHlazrsBHvZTVWXIWmPoqMygKGMtx\np6WmwgQNm70Z0iopYDK9EQubw4cPfvUP+MS3DuLFYwO4NGZHZ99MzlKqCWTRtrZeWTsGKirR0DQF\nnZbJquVx1+A8NCyNtQ2rcyyCkA0Hsb5RUVC8Z2O1NGayubVCVhFUU2HE9Lw7abCwIAhwewOqCF8l\nbcosOui0TNzxMI83CJahl6wPyIaJXDF+OKOlsDo5DUsjEFzemX7l5AgA8XtPirfVqmch7N9aB6Oe\nxeDEIsZmnNBpWLQ3l+HK7fXYsrYCgSCPs/2zsDt9mLN70arANZPaaSkAOg2DqlKDbBeHVLE7fVh0\n+bFxTXbHQUwGDfRaRtphITzydCf0OhYP3rE54fP7Rm3w+ILw+IL40VOd0t831Zjxw7+7MavHGsmZ\nXlGAt6NtdV+wVIqDVGfLE+HxBTE4bsfGlvJVr48gDmLzdi+QhoM9xwvoH7OjqcYCvZbFgW116B2x\n4coko2GEmnIj+kftsDl8KCuJX+T4gzyCnKC4fASV4oGiKNRVmDA554IgCMu0bG5fcFlooE5LihZ5\n1x4yJp6NHLhMYBl6WWc6EOTw2ttjKLPo8IPPX49v/PwEKCqs9VmtlFp0eOwrt4IXhGUmHxeH5vG/\nf3AEZ/tmpdwdpY2GAWrRUjAaqy041T0NtzeQNYcYlycAnZbJiXMYIF4Iq8oM0g4L4dCpUTA0lbRo\nGZ4UjQc+ec92LLr8WHT5ceT0WNqdG7mc6Z0By1BSwJKKipLRadmsFS09QwvghdVrdRxJuNOSXmd3\nbNoBn5+TjFTedfVaWM06XC8zdJjoWqbm3QmLFjdxDjOonRaV9KmrNGFwYhE25/JxSI83sKwolooW\nGVktb56bQM/wAspLdFl3BEuVWONhb12YgtMTwF3XrkOJSYtvfurKAh2d8tDHsTBe31gKvZbB2f5Z\nqbhT4nSKWrQUiIZqM051T2N02okNzZnPmvsDHD7+zYNoqSvBVTsbAIgdjGxTVWrEyJQTnoidGp+f\nQ5Djl/xdLIZDbhTb1lWiKZSM2z9qw8XB+Zi7QdnA4fajf8yOLWsr4n5ZVVSUhEHLZCVPBAC6hlQR\nPiHT8bC+kJ5lfaNYtOi1LG65fI3s59eWhx3EEv0+iNWoWS1aVDKALDwnZ93Liha3LyjZcBPC42Hx\nixZBEPDz31/A04f7oGVpfPTdW7N81KkjjoctLVrIaNgNe8UNhdXqmpgKLENj89oKnLo4jVPdUwCA\n1oaSAh/Vclb3vEABybYYf2zGiUWXH519s/jFyxcBZNfumFBZutRBjON4yW0kmch0ZMoBlqGWmAPo\ntSx4QRyJyAWdfbMQBHU0TKV40KfQaQlyPL764+M4eGI45r93SSJ8tWhJN2Dyt6/04os/fB1P/rkX\nQNiyPlVqKkjAZOLrZNiOVi1aVNKnLmSzPTG3dI0hCAI8vuCyz1fYuTC+puX10+N4+nAfGqrM+OfP\nXYtrdqUxZ5llNCyNAMdLWjG704eTXVNYW29VpCZDyWxbVwkAONM7C4OOQW258sbp1KKlQDRWZdf2\neGQqrI+xOXzie2R5PAwIi+6IR3tkK3kqjlMJIF4oR6YcaKgyL7EclBLAsyg8jkTSs6xXixaV4kCv\nYxCM2AxIxMyCB6cuTuPImbFl/8bzAroH51FfaVKcA0whqChJbzzsmcN9ONc/h9FpJyxGTdoLIRLs\nmWxzxxVydlItj1UyQXIQm136efP6OQgClmtaknRaFl1+PPJsJ7Qsja88dLlk+11oNCwNQRA1ZwBw\n5PQYOF7A9XvljW2qhNm2rkL675Y6K+g8urzKRb0qFgiSn5ItB7GRKfF17r2xDb99pRelZh3MCcLO\n0oWI7oiuZUnRkuBmPGPzwOPj0Fy79EIXabOYiz2RMz0zMOhYtDWvbuckleIhFetRh9sPIHZ20si0\nAy5vEJdvrcv+QRYheh0Lk55NKWDS6wti0eXH9vWV+NwDu6HXMdLiLlWqy4mmJf7mDiBqEwHR+ERF\nJV2k8bCozUTy+YrWtISDbWMXLT997hzsTj8+dMdm1Fdmf0M0XdjQJmgwyINlaLxycgQ0TeHaXQ0F\nPrLiY31jKQw6Bh4fp0gRPqAWLQWjvEQPg47J2ngY6bTccWUrWuus0Gpy00QLd1rEAiVyVyZR0TI8\nKR4f0bIQcpEAThifcWJ81oXLNtdIFzYVFaVDihafP5hU1+B0iwuQuRhFy0V1NGwZ5VZDSuNhpKNc\nW2HK2NpVr2VRatFhej5xp0cdD1PJBlWlBrAMtcz2mGx0lERtaiYS4g+M2/HKyRGsa7TirmvX5eiI\n04O4IgY4HjNTDvSO2LB3U01CswuV2DAMjc2tFei4OK3Y0Tp1JVcgKIpCfZUZ4zNOqa2ZCSPTDhh0\nLMpL9Lh6V0POdlctoQsdCaeS22khRVVzbXTREtpVzsF42K/+1A0AuG534eduVVTkQkYmPTK+E06P\nuABxeYPSYpeg6lmWU2bRweUJyE79ng4F6VZnKYuipsyIGZs74TXf5VHHw1Qyh2FoVJcZlwVMLrpC\nRYspumiJr2khwvb7b2pXXKI8yZoJBHkc6ggJ8GU6+qks57rdjTDoWOxoqyz0ocREWZ++VUZDlRn+\nIJ9RwjwgiuHHZ5xoqjHn3CVD6oyEFlSRnZboNnQkpNPSHN1p0YVHYbLJ0OQiDp8aRWt9Ca7aobaJ\nVYoHXZIxjUgc7nChEt1B6BqYh0nPLuturmbMofwBpzuQ5JEi01KAnjHJI+VRU25EkBMS6mpI8amO\nh6lkSl2lCYsuvzQSBoSLFkt00RJH08JxPF49NQqLUYO9m2pyfMSpQzot/gCHQydHYNSz2Le1tsBH\nVbxct6cJv/nGHYrNtFGLlgJC3L0yHRGbmHMhyAl5WZxEL6j8UZ2WeGnPxDmsrnLpFyG6CMoWT7zU\nBUEAPnj7JkWKyVRU4mFIoftIOi3AUoG53enD+KwL7S3l6uc/AtIpJiMyyZjJdqcl5OgUaZwSjapp\nUckWdaGFZ2S3RRoPiypa9HHGw870zmLB4cNVOxoUGVBLjulU9zRm7V5ctaMhbd2ZivJR3idwFVFT\nvtQ+OF2ICL8pBxbH0eijWsiRFzivn5N2cSIRBAHDUw7UV5mXaUty0WnpHprHG+cmsamlXJE7Qyoq\niUil0xLZMYgMaVX1LLEhGiHZnZaQ/qQ6S52WPRvF69HhU6NxH+NSNS0qWaJWchALFy1SpyWepiXq\nunPolDhyJTdENd+QNcUf3xwCEM5mUVmZqEVLASk1i0Ixm9OX0euQXbum2nwULUsvbORPcuGIpWuZ\ntXnh8QWXjYZFvl42hfj//VIXAOAv37FJDZVSKToMMvISCJEdg8hOi6RnWaMWLZFInRaPvE7L9IIb\nNE1JwZSZsrm1HHWVJhzrnFgyshOJW7U8VskSZLIhcnTbEU/TEmM8zOML4vjZCdRWGLGxJfMQ7FxA\nOi39o3bUlBvVjZoVjlq0FJBSi5idQHJV0mVkOlS05KHTwjA0WIZe1mkhmTBTc0uLlkCQw68PioL4\naLtjYKm9azY40zODM72z2N1eja3rlCkkU1FJRHhkMsVOS4Sm5eLQAmgKqtV3FKlqWmYW3Kiw6rMm\nPqYoCjfva4Y/wOHI6eXZOgDgDBUzBrXTopIh0nhYrE7LsvGw5Zslb5ybgM/P4brdTYrdAIwcWbt+\nT5M6DrvCUYuWApK1omXKAS1LSzkAuUavZaQig+zKkC7KZEQGweScC3/3/17Hy28MobnWglv3r4n5\nWkB2NC2CIODxly4AAD74jk0Zv56KSiHQRVgeJ8PpiRwPEzstgSCP3uEFtNRZ1RGjKEh2lVOGpiXI\n8Zhf9GZtNIxww94m0BRw8MTwsn/jeQEuTwAGHQtGXXypZEhNuREUtVTTshhH0xLL8vjQSTIaplwH\nTk3EhsL1e5V7nCrZQe0/FxBy0chkPIznBYxOO9FQbc7bTU6vY8NFS+gCR6yMyXjYxVEPvvvMq3B5\nArhhbxM+efd2Sb8SCRmFkWPvmow3zk2iZ9iGK3fUY32jusOsUpxI3wlZmhY/TAYNeJ6XxsMGxu3w\nB3nFjnMUEkuo0+KQ0WmZtXnAC8g4nyWaCqsBu9qr0XFxGr8+4sXTJ47C7vTB7vRj0e0HzwuoLM3u\ne6qsTrQaBhVWAyajOi1alpY6K4RoLd38ohdnemfQ3lyG+irlhElGw4Y6LZtayhUVeqmSG9SipYCw\nDA2LUZtRp2XG5oHPz+VlNIyg1zLSLD3ptBDnsvEZF/7r+fN45rU5aFkan71/J27at7zDQogn/ksV\njhfw3y91gaaA99+6MaPXUlEpJLoUdF4OdwAWowYsQ0tC/AsDqgg/HpYUOi0zC9kV4Ufyjitb0XFx\nGl0jHgAemA0aWM1a1FWaYDVrceX2+qy/p8rqpL7ShM6+WfgCHHQaBg6Xf1mXBQC07NJ78Wtvj4IX\nlN1lAcLmGterAvxVgVq0FJhSiw4Li/ITmqOZmBWdw/K5E6LXMpixLe20WM06lJp1ONs/i7P9s6iw\nsPjqx69Kmqoa3lXOrNPy6qkRjEw5cPO+ZjWXQqWoCVsey+u0NNeVwKzXYHTaCV+ACzuHtVbk9DiL\nEbMhVLTEEcFHku1gyUj2ba7FTx++GRcunMNVB/Yuc1VUUckWtRVi0TI150JzbQkWXX5J6xIJTVPQ\naRnpnn7o5CgYmsJVO5Wdc3bt7kYY9RrFH6dKdlCvlAWmzKKD0xNAICgvoTkaMo5VW5EfPQsgztz7\n/Bx4XpB2ZXQaRnIquWZnAz5+W3XSgkV8Lfn2rvEIBHn8z8vdYBkaD9zSnvbrqKgoAbmdFl+Agz/I\nw2zQoKJUdLeamnPhdO8MqsoMOVlsFztmaTwseacl28GS0VSXG2ExMGrBopJTyNpgYtaFQJCHxxeE\nxRRb66bTMPD5gxiaWMSlcTv2bKyB1azL5+GmjFGvwbW7G1UN2CpB7bQUmNLQBcHu9KU1x0yKlpo8\nifCBsHjeH+CkcEmdlsEn79mOyTkX9m+tw6lTp2S9VipBevE4eGII0/NuvPvqtTkZ5VBRySd6SYif\nuJAnI04WoxaVVvHa8ee3RuDyBHDTZc2KdfspJHotA5ahZLmHZTtYUkWlEBCdx8ScOyJYMnYhotcy\n8Pk5HOoICfBVYbuKwlCLlgIjOYilW7TMkaJlebs3V0TaFJNWsk7DoKnGIqu7EolWk3mn5Wz/HADg\nXVevTfs1VFSUgkEnfieSmVOQESex0yJeO15+YxAAcNUOVRMRC4qiYDZqZXZaxGurKopXKWbCnRan\nlNFCDCmi0WkZ2Bw+vHpqFEY9i32ba/N2nCoqclD70gUmU9vjqXk3WIZCeZbCz+QQOb4ijYeF/i5V\naJoKWSin32khIW1lJfk7ByoquUInu9MSKlqMGlSGvv8ubxCVVj02NKvOYfGwGDWy3MNmFjywmrXL\nXJZUVIqJcMCkW8poiddp0WkYONwBzNq9uHJ7vbSpqKKiFNSipcCQ8bBMipaqMmNe5zn1EY5fpNOS\nycVNr2NliY7j4fIEwDI0tKz6cVYpfjQsDZahkppTOCLHwyK6AVfsqFcD1hJgNmjh8ojWwrHwBTi8\ncHRAuraqqBQzRr3oTDcx55IyWuJqWiIKdNWNS0WJqFtIBcYaMR4mB68/iHP9c9izsRo+Pweb04eW\n+uVJ87mE7Dx6IjotGRUtGXZanJ4AzAaNOsOvsmIgZheJkDotBg0qrOGi5artqotOIsxGDXhBHL8z\nGcKLN7c3gJeODeLZ1/phc/igZWncqY6cqqwAaitM6BuxwRZyKo3baQltSFaVGbBFdR9UUSBq0VJg\nUu20/OLlbjxzuA9f/6sD0jhUPkX4QESnxcfBFwhCw9IZdXr0WhYOtyft57u8AZgM6kdZZeWg1zJw\nexOPMDk94q6p2aiFxaiBQcfCqGfRvkYdDUsEyWpxhII5F11+PH/kEn7/+iU4Q2n0772hDXdes04a\n31VRKWbqKk3oHlpA/5gdAFBiXJ7TAoTv7dftblS7tSqKRF3pFZhUNC08L+DI26MAgM6+WWwMhcfl\nu2jRSUJ8sdOiy3DuVa9lMnIPc3kCqsOPyoqiqcaC0z0zONk1hb2bamI+hnRaLEaxy/jwh/fBqGfV\nxUYSiO2x0x1Aj2sBD//oKLx+DhajFh+4feP/Z+/OA6Kq98f/P2eGfd+HXZBFcEERMXFfUzNNM9v0\n2nJvdb22/rRu+a2bH+8ty7TMtMWyMjVNTcrI3JdcUBHFDRHBBQHZBJRVYDi/P2hOkJm7MPB6/BMd\nhvH9PnPmnPfr/XovDOvRWt2wTojmwLgvS2pGEcCfbi4J4OJghVYD/aJkaJhommQSQCNTMy2lV99g\n8viZIgou/L7rtXHlMM87uHIY/L66kXH1sBudhG9kZWmGoVa5ob1qqqoNVNfUYmsljQzRfPx9RHt0\nWg0ff3/wiquIGee02P3Wa9oxxJ0QP8myXI0x01JaUcXW/ZlUVhl45O42fPn6IB4a2EYCFtHsGCfj\nZ+SWAGB/haBl7JBwZv9/fWWDZtFkSdDSyCzMddhamV1TpmXHwSwAzHRaTmQUkZVfCoD+Dm4sCfUz\nLYZblmmpe7/rz7YYVw6zu0K6WwhTFODlwP39gskvqmDJ2pQ/fU39TIu4dvbWxg0mq8nIuQjAqL7B\nWFnKwAPRPBkzLcpva09cKdNiZ21+3dsWCHEnSdDSBDjZW3Kh9K/3DaitVdhxMBs7a3MGRPtRVVNL\n/OFzQCPOaamquWWZFuCGVhAz7lVhK72jopl5aFAbvNxs+Wl7ujqsoz659m+MrTHTUl7F2dwSPJyt\nsZaARTRjxkwL1HV6Wt3kM1uIxiJBSxPgZG/FxbJLGK6wBCfAsdOFFF6sJKaDFxHBbgAUXqzEykJ3\nxV6T26X+5pJV1bci0/L7HJnrZcy02FpJo0M0L5bmOp4d05FaBeauSKLG0HD4ZEl5FeZm2pv+/rU0\nxszUufPlFF68JENhRLPnYGuhBuYOthay0qYwWRK0NAFOdpbUKnCx7MpDxHYeygagZ0cf2tZbilDv\nYnPHb0DGzEp5ZTU1BuXmMy03MTxMeptFcxYR7M6grv6cyr7ID9vSG/yutKJanYQvrp1xTkvyqfMA\n+Hve2SXjhbjTNBqNOkTsTndyCnErSdDSBDja1d1ErjSvpbZWYefBLOxtzIkIccPNyVpdLUt/hyfh\nw+9BhnFIm6X5zWU51EzLDQwPU+e0SNAimqknhrfDyc6SpetSOFdQph4vLa/C1loaINfLuHpYemYx\nAP56u8YsjhB3hHGImAQtwpRJ0NIEONnX7bdypaClbmjYJWI6eGOmq/vIwgPqstzMo1kAACAASURB\nVC13ehI+/D4H5cJvmaGbzbT8vhrZDQwPq5RMi2je7G0seGpke6pqapm3MglFUaitVdRMi7g+dr8F\nejWGuuG4kmkRLYHnb20Fe1m0RpgwCVqaAHWvltI/D1p2JNWtGtazo7d6rF3ruj1ajCnfO8mYabmo\nZlpuLmixvAWZFglaRHPWq5MPXcL1HDxRwOZ9Zym/VIOiSAPkRvzxXuHrIZkW0fx5udVd55JpEaZM\nZi83AepeLX+SaTHUKuw8lI29jYU6AR9gYFd/qmpqGRB95zeBMgYZtzrTUnEzE/ElaBHNmEajYcL9\nEUx8bzMLVh/B4reOArnur59Oq8HW2pyyimrcna2xkT2eRAsQ4FW34IS7bMQsTJhkWpoAd6e6m0he\nUfllv0s+dZ6ikkt0j/BCp/v94zI303Ff76BGeeD+cU6Lxa3KtNzMRHxpeIhmzsPFhseGtaWkvJoZ\ni/YBkmm5UcZhdbJymGgp2rRy4X//7M69PVs3dlGEuGGSaWkCvN3rhnhl5ZVe9rs/GxrW2Mx0Wsx0\nGnWn7psdHmZ9E8PDStXNJSVoEc3fvT1b4+thxw/b0klMyaO1j2wEdyPsbCzgfDn+ErSIFqRjiHtj\nF0GImyJBSxNgY2WOi4MlWfVWBoK6oWG7Dp3DwdaCDkFuV/jrxmFpYUbNbwHDzQ4Ps7yJJY/LJNMi\nWphOoR50CvWgqtqAuZkky2+EcbVBCVqEEMJ0XFPQMmPGDPbv34/BYODpp5+mQ4cOvPzyyyiKgru7\nOzNmzMDcXBqNN8Pb3Y6jJ8/X7TD/W+bi6MkCiksvMSQmoMHQsKbA2kKnBgw3nWmx/H2zyutVVlGN\nhZn2poeoCWFq5Jq/ccZhdf6eErQIIYSpuGrQsmfPHtLS0li2bBnFxcWMGjWKbt26MW7cOAYPHswH\nH3zA999/z8MPP3wnytts+bjbcST9PDkFZbTyqluCc0eScUPJpjM0zMg4D6Xu51u0ueSlG8u0yGRk\nIcT16N/FD61GQ2sfp8YuihBCiGt01e776OhoPvzwQwAcHBwoLy8nISGB/v37A9CvXz927dp1e0vZ\nAvi41y1HmJlfN6/FYKhl1+FsnOwsad/atTGL9qesLH8PVG4202J1M5mWSglahBDXp0u4nsnjomR4\nnRBCmJCr3rG1Wi3W1nWrW61cuZK+fftSUVGhDgdzdXUlPz//9payBfD5ba+A7N+CliPp57lQWkXM\nH1YNayqsbkem5TrntCiKIpkWIYQQQogW4Jpbwxs3buT777/njTfeQFEU9Xj9n8WNUzMtv60gtv1g\n3aphvTr6NFqZ/kr9QKWxNpe8VG2gxqBI0CKEEEII0cxd00T87du3M3/+fBYsWICdnR22trZUVVVh\nYWFBbm4uHh4eV32PxMTEmy6sqfurc2CoVdBqIPV0Lnv27uPXA+ewtdJSWXSaxMQzd7CU16airET9\n+fSpNGpLz172muv5zM10Gs4XXbiuv7lYXhfkVFWUNPnrq6mX706Qc1BHzoOcg/rkXNSR8yDnoL6W\nfi5aev2v5KpBS2lpKe+99x5ff/019vZ1K63ExMSwbt06hg8fzrp16+jVq9dV/6GoqKibL60JS0xM\nvOo58NpUzIWyKgxW3lRcyuK+3kFER7e/QyW8Pr+m7ufY2bpAJaJ9W4J8G05ovZb61mfzYx46c4vr\n+puMnIvAOfx89ERFdbzmv7vTrvdcNEdyDurIeZBzUJ+cizpyHuQc1NfSz0VLrz9cOWi7atCyZs0a\niouLefHFF1EUBY1Gw7vvvsv/+3//j++++w5vb29GjRp1ywvcEnm725GVn0vs1jQABnb1b+QSXVmD\n4WE3OacF6ibjX+9EfHVjSRkeJoQQQgjRrF01aHnwwQd58MEHLzv+5Zdf3pYCtWQ+7nYkkEvKmSKC\nfR0J+G3p46aowUR885vfo9TKQkfRxcrr+hvZWFIIIYQQomVoestStWDGyfgAA6ObbpYFfl/xC25N\npsXa4vozLWrQIpkWIYQQQohmTYKWJsS47LG5mZbenX0buTR/rX7QYmF+85eRpYWO6ppaDIbaa/4b\nCVqEEEIIIVoGCVqakFaeDlha6OjVyQd7G4vGLs5fMm4ICWBhdvOZFkc7SwBSzhRd89+UVkrQIoQQ\nQgjREkjQ0oQ42Frw6b8HMPGBprsSlpEx02JhrkOr1dz0+43o1RqAL386Qm3tte39U1ZRtxmlTMQX\nQgghhGjeJGhpYtycrLG4yc0a7wTjhpA3u7GkUViAC706+ZCaUcyvSVnX9DcyPEwIIYQQomWQoEXc\nEGOm5VZMwjd6bFhbzM20LPw5mUvVV5+UXyZLHgshhBBCtAgStIgbYnWLMy0AehcbRvRqTUFxBT9u\nS7/q60srqgCwkSWPhRBCCCGaNQlaxA2xvA2ZFoAxA0JxsLVg5ebUq+7bUlBcga21OeZmchkLIYQQ\nQjRn0toTN0QdHnaL59/YWpszdkgYFZcMLFmXcsXXlZZXkZVfRoiv0y3994UQQgghRNMjQYu4Ierw\nsFucaQEYfFcr/PR2bNhzhtPnLv7pa1LPFgMQ2sr5lv/7QgghhBCiaZGgRdwQW2tzdFoNDrdhPxmd\nTsuTw9tTq8CC1UdQlMuXQE7NqNvPJdRPMi1CCCGEEM2d2dVfIsTlrC3N+O8z3fF0tb0t7x8V5kFk\nqDsHUvNJTMmjS7i+we/VoMVfMi1CCCGEEM2dZFrEDesQ7Ia7s/VteW+NRsOTI9qj1dRtOGkw1Kq/\nUxSF1Iwi3J2tcXawui3/vhBCCCGEaDokaBFNVoCXA4PuasXZ3FK2JGaqx3MLy7lQWiVZFiGEEEKI\nFkKCFtGkDYkJACA9s1g9Zhwa1kaCFiGEEEKIFkGCFtGkuTrWDf8qKrmkHkvN+G3lMAlahBBCCCFa\nBAlaRJPmaGuJVquhsN5Gk6kZRWi1GoJ8HRuxZEIIIYQQ4k6RoEU0aVqtBic7S4pK6oIWRVE4lX0B\nPw87da8YIYQQQgjRvEnQIpo8ZwdLCi9eQlEUSiuqqawyoHe5PUstCyGEEEKIpkeCFtHkOdtbUVVt\noLyyhoLiCoDbttSyEEIIIYRoeiRoEU2ey297sRRerCS/qC5ocXOSoEUIIYQQoqWQoEU0ec4OlgAU\nlVSSb8y0SNAihBBCCNFiSNAimjxjpqXo4iXyi8oBybQIIYQQQrQkErSIJs/Z/vdMS0Fx3SpiMqdF\nCCGEEKLlkKBFNHnO6pyWS+QXl6PVgOtvx4QQQgghRPMnQYto8lzsjcPDKikorsDZwQqdTi5dIYQQ\nQoiWQlp+oskzTsQ/f6GSgguVMglfCCGEEKKFkaBFNHnmZjrsbcw5mVVMba0ik/CFEEIIIVoYCVqE\nSXB2sKKssgYAd2ebRi6NEEIIIYS4kyRoESbBuIIYgJuTTMIXQgghhGhJJGgRJsG53mph7k6SaRFC\nCCGEaEkkaBEmwbiCGCAT8YUQQgghWhgJWoRJaJBpkY0lhRBCCCFaFAlahElw+W3ZYwszLQ62Fo1c\nGiGEEEIIcSdJ0CJMgvNvw8NcnazRaDSNXBohhBBCCHEnSdAiTIJxg0mZzyKEEEII0fJI0CJMgt7F\nlnatXenewauxiyKEEEIIIe4ws8YugBDXwtxMyzsTezZ2MYQQQgghRCOQTIsQQgghhBCiSZOgRQgh\nhBBCCNGkSdAihBBCCCGEaNIkaBFCCCGEEEI0aRK0CCGEEEIIIZo0CVqEEEIIIYQQTZoELUIIIYQQ\nQogmTYIWIYQQQgghRJMmQYsQQgghhBCiSZOgRQghhBBCCNGkSdAihBBCCCGEaNIkaBFCCCGEEEI0\naRK0CCGEEEIIIZo0CVqEEEIIIYQQTZoELUIIIYQQQogmTYIWIYQQQgghRJMmQYsQQgghhBCiSZOg\nRQghhBBCCNGkSdAihBBCCCGEaNIkaBFCCCGEEEI0adcUtKSkpDBo0CCWLFkCwGuvvcbw4cMZP348\n48ePZ9u2bbe1kEIIIYQQQoiWy+xqL6ioqODdd9+lR48eDY5PnjyZPn363LaCCSGEEEIIIQRcQ6bF\n0tKSzz77DDc3tztRHiGEEEIIIYRo4KpBi1arxcLC4rLjixcv5rHHHmPSpEkUFxfflsIJIYQQQggh\nxA1NxL/vvvuYNGkSCxcupE2bNnz00Ue3ulxCCCGEEEIIAYBGURTlWl44d+5cnJ2dGTt2bIPj6enp\nTJ06lUWLFl3xbxMTE2+ulEIIIYQQQogWISoq6rJjV52I/2eef/55Jk6cSJs2bUhISCA0NPS6/2Eh\nhBBCCCGEuBZXzbQcPHiQ119/ncLCQnQ6HY6Ojjz//PN88skn2NraYmtry9tvv42Li8udKrMQQggh\nhBCiBbnm4WFCCCGEEEII0RhuaCK+EEIIIYQQQtwpErQIIYQQQgghmjQJWoQQQgghhBBNmgQtQtwC\nFy5coLq6urGL0ehqa2sbuwiiCTh//jwg10N6enpjF0GIJkumVMs98npJ0HKLlJeXk5mZ2djFuGNa\nWn3/yubNm3niiSc4cuRIYxelURQUFDBw4EAKCwvRarUt/kG0dOlSfvnlF6DlPZBqa2v59ttvefbZ\nZ6mqqkKrbbmPmB9++IGXXnqJnTt3Ai3vWvijw4cPN3YRGtXWrVs5ceIE0LIb69XV1SxevJjS0lI0\nGk1jF6dR1NTUMHfuXC5cuCDPzOvUcp8ot9iLL77I9OnT1R7G5q6l1ffPGG80VlZWGAwGDh8+TG5u\nbiOX6s4rLCwkMzOTL7/8srGL0ugURWHt2rXMmzcPoMU12rVaLVlZWeTm5vLtt98CLa+BZqyvvb09\n5ubmrFu3jrKyshZ3LdS3a9cunnvuOeLi4oCWF8AdOXKEadOm8eOPPwK02MY6wI4dO5gzZw4rVqwA\nWt79ASAtLY3PP/+czz77rLGLYnJa7l30FjHefO3t7ampqeHo0aNUVVU1cqlun5ZW32uRl5eHXq+n\nqqqqRfUmGq8Fa2trHn74YdauXcv+/fvRaDQYDIZGLl3j0Gg0+Pv7U11dzfz58wFazLmoqakBwNnZ\nmTfeeIMtW7Zw6tQpNBpNi2mYKIqiNkizsrIYOnQofn5+xMbGqr9vSYz1tbGxwcnJidjYWC5evNjs\ne5f/WDe9Xk+7du24cOECa9euBVpe4GY8J15eXvTs2ZOtW7eSkpKCRqNpMefCeA6cnZ0ZPHgwGzZs\nICkpqUWdg5slQcsNKC0tVX829p75+/uj1+vZtWtXs8s+tLT6XklRURFTpkxh3bp1wO+NNFdXV0aN\nGoWzszOZmZkcPHiQ4uLixizqbRMbG8uvv/4K/H4tHDx4kE6dOvHyyy/z4YcfAqDT6RqtjHdKTU0N\n+/bt49KlS0BdcFJYWIifnx+zZ8/mu+++A5rvuThx4gRTpkyhpKQEADMzM/W4lZUVQ4YMYcmSJRQW\nFjbrnuWzZ88ybNgwjh49ikajUee2ubi4YGdnR3R0NMePH2fbtm3k5eU1cmnvLOPnnp2dzbhx4+jS\npYsazDdXNTU1akeesZGakZGBVqtl8ODBbN++HWgZWdicnBwqKiqA36+FpKQkOnXqxKhRo/j666+B\n5n0uzp07R3Z2NtDwHPTs2ZMXX3yRmTNnAs37HNxKcpau03fffcczzzxDcnIyUHeDKi0tVRu0Wq2W\nHTt2sGPHDrVRa8paWn3/Snp6Orm5uSxevBiDwYC5uTlQl/p3cHCgZ8+e/PLLL/z73/8mJyenkUt7\n6xUVFfHpp5+yd+/eBhOMAwMDKSgoYPDgweTn59O/f391HH9zNm3aNObMmUNCQgJQF5y4uLhw8OBB\nwsPDueeeexgzZgzvvfdeI5f09khMTGTTpk3Ex8erjbOqqiqCgoKIiYmhS5curF+/npdffpmKiopm\n25OYmZnJpUuX1OGRxvtCRkYGHTt2xM3NjaSkJGbNmtWsswtQtwDDfffdx/r16xsct7S0JCcnh4ce\neohjx44RFxdHRkZGI5Xy9ikuLmb48OFMnToV+D2b4ujoSGRkJJ06dcLV1ZWpU6eydevWxivoHZCZ\nmcnQoUP5/vvvG2Sb/f390el0jBw5ksLCQv7zn/+wb9++Rizp7XPx4kUefvhhli9f3qBz18fHh+PH\njzNs2DAuXbrE888/z7Zt2xqxpKZDgpbrdPr0aUJDQ1m1ahVQ17toZ2eHlZUVGo0Gc3NzZsyYwfr1\n65tF72JLq+8fHTp0SP05Pj6eJ554Am9v7wZjUVu1asXq1auZNGkSzs7O9OvXT+11NnUXL15Ue8oS\nExNp1aoV5ubm7N+/X30QHT9+nLy8PGbMmIGNjQ0APXr0aLQy307GHtSSkhK1UXrs2DHy8/OBuvk9\n/v7+pKamkpqaypkzZwgJCQGaxzCxnJwcLl26hKIoVFZW8sgjj7By5Uo1SLewsODEiRM8//zzTJs2\njejoaCwtLbG2tm42PYnV1dXs3r1bbYRkZmYya9YsTpw4oWZhoa5h8sorrzB58mR69epFhw4dmn2m\nJTs7m+rqauLj4yksLFSPX7x4kaioKGxsbCgsLOT9999vls+LgoICOnfuzP79+zl+/LiaZc3KyqK0\ntJScnBz27NnDtm3bsLW1BZrvMLGMjAzat29PYmKimmkwHreysiI+Pp6MjAz27NlDeHh4I5b01jN2\nTqSlpeHl5UVpaSmpqanq8ZycHDw8PEhKSqKyspKEhASioqIas8gmQzfV2CUg/tThw4dJSkoiMDCQ\nmpoadu3axdChQ0lMTESr1dK6dWtyc3NZs2YNq1atoqqqirZt2xIWFkZQUBAWFhaNXYXr0tLqeyUp\nKSm8+eabbNmyhbS0NAwGAw8++CD+/v74+fnxxRdf0KNHDxwcHDhw4AA5OTm88sorjBs3jj179mBh\nYUFAQIDJNtQMBgMzZsxg+fLlJCYm0q5dO8LCwhg5ciTnz58nNTUVW1tbvLy8qKmp4fPPPycmJoa3\n336b+Ph40tPT6datW2NX45bJzc3lo48+Ys+ePXh5eeHp6UmHDh3w8fHh4MGDKIpCSEgI1tbWvPvu\nu2zevJnnnnuOjh07snDhQh5++GGTvRYAdu7cycSJE0lLS2PDhg0MHjyYwMBA+vbty86dOykoKCAi\nIgKdTkdmZiYajYZXX32V+++/n3Xr1uHo6Iifn19jV+OGGeeq7Nmzh5dffpnc3Fy+//57AgIC6N+/\nP56enri6uvLpp5/y8MMPA3Dq1Ck8PT15/fXX6devHwUFBZSWlhIWFtbItbl1qqur2bFjB4qi4Ozs\nzLFjx+jduze7d+9GURTCw8PRaDRkZmby5ptvsnHjRu6++26qq6vx9/enVatWjV2Fm5Kbm8uXX36J\nwWDA3d2drKws+vfvj5mZGcuXL2fEiBFA3f103rx57Nq1izFjxhAWFkZKSgrdu3dvNsHb7t27Wbly\nJcXFxQQHB1NYWMijjz5KUlISGRkZdOrUCZ1OR1FREf/73/8oKCjg1Vdf5fz58+Tk5BAZGdnYVbhp\nu3fvZvHixWRkZBAREQHAPffcQ1ZWFidPnsTPzw8HBwdKSkp44403yM3NZebMmZw8eZKUlBR69uzZ\nyDVo+iRouYKamhqmT5/OmjVryM3NJSkpCWdnZx544AH0ej0VFRVs2rSJPn364OTkxMmTJ+nduzcT\nJ04kPDyczZs306lTJ7XnualrafW9mtjYWJycnHjnnXdQFIX33nuP/v37Y2dnh6urK9nZ2WzevJlB\ngwbRrl07Bg4ciJOTEwDBwcFERESYdCN1+/btJCcnM2vWLA4cOMDRo0eButS+k5MTR48epbi4mMDA\nQFq1asXo0aOJjo4GoHv37nTp0gVLS8vGrMItU1ZWxmuvvUZ4eDi2trZs2LABg8FAdHQ0np6epKen\nk5WVhZOTE25ubkRFRTFx4kR8fX0JDw9Hp9PRrl27BpO0TcnFixeZP38+zz//POPHjyc2NpaioiKC\ng4OxsbHBx8eHxYsXEx4ejoeHB+3ataNv375qT3LPnj0JDg5u5FrcHOPntmTJEmJiYnjxxRepra3l\nq6++ol+/flhbWxMUFMSGDRvIysoiOjqakJAQoqKisLCwUIPadu3aNXJNbp3Dhw8zceJEysrKWLRo\nEd7e3kRFRRESEoKLiwvLly8nKipKbaR5enryyiuv0L17d8zNzdWGrKkxfo/379/PtGnT8Pf358iR\nI6xfv57x48djb29PVFQUn3/+OW5ubgQFBVFUVERoaCivvPIKbdu2xdzcHDs7O1q3bt3Y1bkpxnOx\nadMmPvvsM/r27cuiRYsoLS0lJiZG7axYsmQJbdq0Qa/XYzAY6Nu3L3//+9/R6/V4eXnh4OCAr69v\nY1fnhtS/Ht5//33uvfdefv75Z7KystROTr1ez6ZNm7Czs8PHxwcnJyd69uzJk08+iZ2dHZ07d8bC\nwoLAwMDGrk6TJ0HLFRgMBjZu3Mh///tf7r77boqKili8eDHDhg1Dp9Nha2vLkSNHyM7OplOnTkRH\nR6sPZnt7e3r37m1SDfiWVt8/s2bNGgoKCvDz82PHjh1q9sjf358zZ87w888/c88991BbW0tQUBA/\n/vgj3t7eJCcnYzAYcHV1BVAba6bWSD169CjV1dU4ODiwZs0aNBoNvXr1Ijg4mJycHFJSUmjbti2u\nrq6Ul5dz5swZXF1dKSoqwsnJCTMzMxRFwdraGktLS2pra02q/n+Un5+Pra0t586dY926dUybNo3I\nyEjKy8s5dOgQjo6O6PV6bGxsOHLkCBYWFoSEhGBhYYGlpSWXLl3CzMxMbaia0rm4ePEisbGxeHp6\n4uzszM8//4y/vz+tW7cmODiYtWvX4uLigre3N3q9noyMDE6ePElAQABr166lffv26vVvysFrXl4e\nCxcupKioCB8fHzIzM6msrCQyMpK2bduye/du8vPziYyMRKPR0KFDBz788EMiIyNZtmwZbm5uuLi4\noNFo1CGjpnZfuJLY2FhCQ0OZPHkyrq6uxMXF0apVK/R6PX5+fiQkJHD27Fm6deuGp6cnnTp1wtLS\nEoPBQFBQkMn2rFdWVmJubs6hQ4coKiritddeo2/fvixYsABbW1sCAwPRarU4OTnxySef8Mgjj+Di\n4kJQUBBQNxzMw8ND/X9Tp9FoWLNmDQEBATz66KO0b9+euLg4XFxc8PLyUjNQ+/bto1+/fjg7O+Pt\n7Q3UdZZ6enqabMACddlGnU7Hhg0bsLOzY/z48URERLB//37KysoIDAzEzc2N8+fPc/jwYTWQ9/T0\nBOqGHDs6OkrAco0kaKln9erVbNiwgfLycry9vfnmm2+4//77sbS0pFWrVuzdu5eTJ0+qvciurq5s\n3LiRzMxMDh06ROvWrU3qAd3S6nslJ0+eZMKECZSVlfHjjz/i6OgIwN69exk4cCAAMTExfPTRR7Rr\n1w5vb2/s7OzYtWsX77zzDjY2NgwbNuyyoXGm0jApLS3lvffeY9myZZw5c4akpCRGjx7NsmXL6NOn\nD+7u7iiKQnp6OlVVVYSEhNC6dWu2b9/O/PnzWb16Nb169cLNzQ2NRqPW21Tq/0epqalMnTqVTZs2\nceLECfr378+6deuwt7cnMDAQW1tbMjMzyczMpHPnzri5uVFTU8Mvv/zC+++/T0FBAT179jTZeU0/\n//wzb731FiUlJRw+fJi8vDx8fHy4cOEC4eHh6PV6zpw5Q1pamtpDGBERweTJk/npp5/w9fXlrrvu\nAkz3GgA4cOAAL730Eq1atWLPnj2UlZVRVlZGbW0tnp6eau/wp59+ytChQ7GyssLZ2ZmFCxeybNky\noqOjGTRo0GXva6rnJD8/n48//picnBy8vb0pLS0lOTmZfv36ERQURHJyMllZWQQEBGBra0ubNm1Y\nsWIFdnZ2LFy4EA8PD9zd3dFqteo5MKUA7tChQ3zwwQfEx8fj5eVFVVUVFy5coFWrVtjb26tLOvfq\n1QsrKytCQ0PZsWMHu3fv5ueff6ayspKwsLAG90hTtXbtWqZPn64OE3Z2dubEiRN07NgRHx8fCgoK\nOHr0KMHBwTg4OHDXXXexbNkyDh48yMcff0xgYCDe3t4mPRph/fr1TJ06lZSUFKqrq2nXrh2bNm2i\nW7dueHl5UV5eTkpKCvb29nh7e9O+fXu2b9/Opk2bmD59utoh2lxXl7xdTPeKuYWMu5OuWbOGNm3a\n8Morr5CXl0dAQIC6hKu1tTWPPPIIiYmJFBQUYGVlxYULF0hMTGTNmjVERkbi4ODQyDW5Ni2tvlez\nY8cOIiMj+d///scrr7zCokWLePDBBzly5Ah79+4F6laGGj16tLrc72uvvca5c+dYunQpb731lppd\nMUUpKSnk5uayYsUKXnjhBZKTk8nIyCAyMpLly5cDEBISgp2dHeXl5QCsW7eOVatWMXLkSDZv3kyb\nNm0aswq31AcffECfPn149913KSws5Ouvv+ahhx5Sd7n39fUlKCiIkpISLly4AMCqVas4fPgwTz/9\nNK+++mpjFv+mHTp0iH//+9/MmjWL0NBQSktLcXR0JDs7mwMHDgAwcuRIfv31VwoLCykuLuaNN94g\nMjKShQsX8sILLzSLhtnWrVt56qmnePHFF7n33ntJTU1l0KBBpKenk5qaSmVlJeHh4bRq1YpFixYB\nMHXqVDp16kRcXBzPPPNMI9fg1klOTubpp5/GxsaGEydO8MUXX1BRUYG7u7u6WMl9991HSkqKOgHf\nx8eH/Px8pkyZgpubG23btr3sfU3lGjEuNDJgwAC8vb3VrHxJSQmZmZkADBw4EEVRiIuLU+tlMBjY\nsmULMTEx3HfffY1ZhVtm//79LF26lGeffRa9Xs/69evJycnB0tKywbVw5swZsrKygLq5P6mpqRw9\nepTJkyeb/KTzlJQUvvnmGyZPnkyfPn1Yu3Yt6enpBAcHs2XLFqBuMRpFUdTFN3Jzc9m2bRtZWVnM\nmDFD5q/cIAlaqFsR69ChQzz77LMMGjSIf/zjHyxYsIBJkyaxevVqdZdzEFvJHAAAH2pJREFUvV6P\nr68vOTk55OXl8d577zFx4kS+//57Onbs2Mi1uHYtrb5XYlzJo1WrVrRp0wZFUYiOjsbGxgZzc3PG\njh3L559/rt50jBkogH/84x8sWrSIyMhIFEUx6RVg0tPT6du3r/r/zs7O6PV6evXqxYEDBzh06BA2\nNja4urqqS1/7+fmxevVq/vnPfwI0i+WuFUUhIyMDDw8PdZGFsLAwLCwsCA0NRavVqnuvREREsGfP\nHnQ6HWfPniUqKoo1a9YwevToRq7Fjam/FO/58+fVoQt2dnYkJyfTt29fHB0dSUxMJDc3F3d3dyIi\nIsjNzcXMzIx//etffPrppyY92d7IeC58fX3VYSx9+vTh0KFDBAQE0KlTJw4cOMDu3bsBiI6OVucm\n/Otf/2LGjBl4eHhgMBiazRLHBw4cYPTo0UycOJGhQ4dSVlZGeHg4VVVVHDp0iNLSUlq3bo2zszPf\nf/89AB999BEhISH8+OOPPPvss41cg5uzY8cOPDw8GDRoEGPGjOHAgQPExMTg7u5OYmIiZ86cAeDx\nxx9nw4YNAHzzzTe0b9+eLVu28MADDzRm8W+prVu3cvfddxMZGUl0dDRnzpyhd+/eWFpaqkPI7e3t\nad++vbrq6Jo1a3juuedYunQpXbp0aeQa3LwDBw7Qu3dvOnbsSEhICFqtVp3feeTIEdLT07G1tcXP\nz09d/jshIYEJEyawePHiZnEOGosMD6Nuoq2bmxvh4eFYWlqSn59PTU0NvXv3Jjc3l7Vr1zJ06FBs\nbW1Zvnw5Q4cORa/X88gjj9C+ffvGLv51a2n1ra/+PAvjfwMCAtS0/bFjx9iwYQNjxoyhffv2JCcn\nk5CQQHx8PL/++is9evQgMDAQFxcXoK4nrf5wB1NgPAfGsrdu3Vpd6aS2tpZVq1YxZMgQQkNDuXDh\nAvPnzycgIIC4uDiioqJo164d7u7u2NraYjAY0Gg0zSLFrdFosLW1pX379mqj3ThO2bgAxezZs+nW\nrRu5ubmcPn2a7t274+Xlpa6MY2rmzp2LXq/HyclJHZs9cOBANYu6a9cunJ2dueuuu3B0dCQ5OZmV\nK1eSlpZGcnIyjzzyCE5OTur3wVQZvwvGIEOj0ahDQaFu9TTjDvfGLNvSpUvZt28fmzdvZsyYMep3\nAuq+RzqdzqTuC38lKyuLoKAgPD098fT0ZO7cufztb39Do9Fw4sQJsrOz6dChAxUVFeh0Ojp16kRo\naCgjRoxocJ8wlfNh/C4Yr4tWrVoRFBSEm5sbNjY2bNmyhZ49exIYGEhiYiJpaWncddddHDx4EDs7\nO7p27Urbtm2JiYkxyftCfcYhfMZz4e7uTseOHbG2tsbd3Z1Vq1YxatQo7OzsSE9PJz4+nj59+pCY\nmEh4eDhhYWFERkY2q2WNnZyc1GHz9vb2LFu2jKFDh+Lv709WVhY//PADw4YNY9++fej1eiIjIwkN\nDW1W56CxtMhMyx97xW1tbenTpw/29vZAXSrceKOZMmUKNjY2TJs2jbFjx+Lt7Y29vT2KopjEeMw/\nywI05/pejbEO6enp6lCn+lJSUujVq5f6///4xz945JFHsLOz4/3336d///4NXm+KDyStVktpaala\ndmtra/V3KSkpODk5qY32cePG8cQTT7Bp0ya6d+/OmDFjGryXKTfM/rhviqIomJmZodfr1WO5ublq\noN6lSxfGjx/PkiVLmDVrFo8++iju7u53tMy3ijEzlpuby6xZs4DfN0XUarXqru4nT55UH7QhISG8\n8MIL3H///bi6uvLZZ5/h5ubWCKW/dYz3RuN3oby8XG2g1f/9kSNH1O++jY0NvXr1YurUqfTo0YOV\nK1de1hgx5Xulsc71s0RDhw5VV/pKSkpCr9djZ2dHTEwMAwYMIDY2ltdee4158+bRuXNnoC5ja3w/\nU7pP5Ofnqxnl+vdI4/LNRUVF5ObmYm1tTWBgIA8//DA1NTU888wzfPfdd+oeVcbvk6kzfm7GcxEU\nFKR+tnv27MHW1hZra2siIiIYN24cJSUlTJgwgcOHDzd4lpqiK42iMC5dDHXPTCsrK/R6PXq9nqef\nfhpXV1deeOEFEhISGD58+J0udvOmtBD5+fnK6dOn1f+/dOmS+rPBYGhwfPz48Upubq6iKIpSWVmp\nlJWVKWlpacq+ffvuXIFvsZMnTyoJCQmXHW+u9a2vpqZG/fnixYvK22+/rUyaNEkpLi5Wj9fW1iqK\noihz585VDh8+rJw8eVKZNGmSsmHDhgbvZTAY1NeasmeeeUaJi4u77PhXX32lrFixQlEURZk/f76y\nZMmSy15T//tiiupfD+Xl5UpiYuKfvu7s2bPK888/ryiKohQXF6vnxdTrX19tba0yYsQIZdu2bYqi\nNKxbTU2N8swzzyglJSXKgQMHlClTpiiHDh1qrKLeVgcPHlReeOEF5fHHH1cURbnsO/7OO+8ohw8f\nVnbt2qVMnDjxsvtC/WvKVP3xuv7jOTD+fsmSJcrnn3+uHr948aJy/vx5ZefOnUpVVdXtL+htYqxf\nenq6Mnv2bOXjjz9u0GYwio2NVaZNm6YoiqJUVFQoBw8eVBRFUdLS0u5cYW+z+tdCZWWl8vXXXyv7\n9+9XjxmvjZkzZyrLly9XFKWujXHkyBFFURQlJyfnDpb29svIyFAyMzMbHDOeg8WLFyvz5s1TFEVR\njh8/ruzevVtRFKVB+0LcOqa5vM0N+PDDDwkKCuKee+7hyy+/JD8/n169ejFy5MgGvWJFRUUEBgbi\n4eHBzJkzOXLkCO+9955JLU9oMBgaZAC2bdvGJ598woQJEy57bXOo75XU1tai1WrR6XRUVVWh1Wo5\nc+YM+/fvZ+zYsTg6OqqvMfYm7dy5U51M2LdvX3X1MMDksk1KvaEuAGfPnlXnHHTp0kXtLTO+1jh8\nY+PGjWzfvh1HR0d1zkr915jSOaiv/vUAdRPO//e//1FRUcHjjz/OwIEDG1wTBoOB6upq4uLiiI2N\npW3bttTU1Jhkdu2P9wSom3Pg7OzMq6++ysyZM+ndu7f62Sq/TSC1trbmzTffpLi4mMcee4wOHTo0\nRvFvG4PBwPTp08nJySEmJobp06ezZcsW+vXrR01NDWZmZpSXl3P48GFSU1Oxs7Nj7NixxMTENHgf\nU7wm/sj42W/fvp1ly5YREhLCU089pQ55M95HCgsLadu2Lfv372f+/PkMHDiQBx54gO7duwN/fq01\nZX+8r1lYWPDtt9/Svn17xo4dq74G6s6BhYUFnTt3ZvXq1SxbtoxRo0YRERHRLJ6Z9c+F8XM8f/48\naWlpDSaOG1/n6uqKhYUF8+fPZ+fOnfz9738HaJCtNjXGutXW1lJbW8vcuXOJj4+ndevW3HPPPZdl\nj4yrhn799dds2bKFRx99FEBdhVTcWs06aKmtrUVRFHQ6HcOHD2fVqlVkZGTg7OxMv379+Pzzz6mu\nrmbMmDHqA8ra2ppVq1Zx5MgR+vTpw7x580xqZShjKh7qhkAFBQWRk5NDVVWVusKTUm+ZSVOv718x\nPoR++eUXPvroI/r06UNYWBjjxo1j06ZN3HvvveqytMYbdLdu3SgtLeWll15Sh03Vb9CbivoNh0uX\nLlFcXKxuDjhs2DBqampIS0uje/fuaiMdIDs7G0VRGDt2LF27dgVMs/5/pn6wNWnSJCwsLPjoo4/I\nzMwkLi4ODw8PevXqpb7u/PnznDhxgh07djBlyhSTbJQYDAbmzJmDXq/ngQcewMLCgpSUFMLCwujf\nvz8vvPACa9aswc3NjYULF/LYY4+p14NxDstjjz2mPohNWf37Xk1NDfHx8XTt2pXi4mIef/xxunTp\ngoWFBdOmTaNfv36YmZlhMBiwsbGhXbt2eHp68sQTT/zp+5kq42etKAplZWXMnj2b6upqxo0bx8KF\nC1m6dCn33ntvgz0lMjIy1Inpjz32mEkHcPXvfQkJCaxdu5ZRo0bx0ksvUVRUxPHjx4mOjm7wOe/a\ntYs1a9YwatQopk2bZvIbpwKXdd7l5uby3HPPsWDBAry9vamoqCA+Pp6goKAG18y2bdvIzs5mxIgR\nfPLJJya9V9sfz4FWq6WgoIC0tDQWLFhASUmJuhcb/B7EHzt2jB07djB8+HCTPwemoNlOxDf2iBrH\n7wcGBnL69GmSkpIYP348nTp1wtPTk3nz5nH//fer0XJeXh729vZMmDCBIUOGXLb3RlN06NAhTpw4\ngb+/PxqNht27d/Pmm2/y66+/UlVVRVRUFJWVlWRkZNC5c+cGN2BTrO+V7N69G3t7e6ysrIC6yaOz\nZs2iqKiI559/Hmtra+Li4tQJo+fOnaNdu3YNAr2OHTvSr18/zM3N1QnrptIwqaqqIjs7G0dHR7Ra\nLRUVFcyZM4fly5fToUMHunfvTlJSEps3b2bEiBGsWLGCoUOHotPp1LoGBwfzyCOP4OPjAzR8qJsa\n48TR+ubOncvx48fp1asXS5cu5YknnsDPz4/k5GTy8/Px8fFR53pZWVkRFRXF+PHjTXai+ffff8/a\ntWuprKzE09OThIQE4uLiaNeuHa1btyYtLY2EhASeffZZ3n77bUaOHImlpSXV1dVYWVnx0EMPmeSu\n5X+m/vc4MTGRuLg4SktLsbW1pbCwkLCwMCIiIvjmm2+orq6mc+fO6nOkV69e6maIpnZf+DP161BV\nVYWZmRmVlZXMnDmTjh078sADD+Dv709SUhI2NjYEBASoC26cOHGC9u3b8+qrr6qZW1MK4M6dO8fe\nvXtxcnLCysoKjUbDypUr+eKLL+jcuTPnzp1j0KBBHDlyhHPnzhEcHIy1tXWDSfmdO3fmySefNNn7\nglFlZSVmZmbqZ5eQkMCOHTsIDAwkKyuLxMRE3NzciIiIYOPGjfTp00cN5rVaLa6urowZM4ahQ4ea\n/Bwe4znYu3cvu3btwtHRkby8PLKysujatStubm7odDqysrIwMzNT62tra8sDDzzAkCFDTP4cmIJm\nFbTk5OSwadMmwsLC0Gq15OTkMGXKFPbu3UtmZiajRo0iISEBvV6Pp6cngYGBJCUlYTAYCA0NBepS\nel27djWZm5Fx2MaZM2fo2bMnVVVVfPnll7zwwgt06NCBmTNnEh0djaOjI6mpqdjb2+Pl5aXedEyt\nvldy/vx5nnzySU6ePAnUTRa0tLTkyy+/xM3NjVGjRuHn50dxcTEHDhxg4MCB/Pjjj3Tt2hU7Ozv1\nfYyZF1NrrBcWFjJ+/HiOHz9Ov379KCsr4/XXXyckJITIyEg+/PBDhgwZwr333ssPP/xAVlYWFRUV\nDBgwAK1Wq9bV2GA3xVXRjAwGAx9++CGnT5+mTZs26HQ6UlJS1JV/3n33XSZNmkR8fDzFxcV06tQJ\nOzs7EhISqK6uVleSs7a2VlePMlXt2rVT9xyqqKhQNz07d+4cERERREdH88477zB69Ghyc3NZv349\nd999txrEm1Kv+R/9sRPj7NmzLFy4kMjISNzd3SkoKCA/Px+NRqOuFmXc9f6HH37g4YcfxtLSUm2Q\nG4cImdJ94UqM3+vly5czc+ZMLly4gFarpVu3bixdupQHH3wQT09P9uzZQ25uLjExMeo5io6OVpe8\nN6UArra2lnnz5jF37lyqqqpYt24diYmJ9O7dm7179zJkyBDuu+8+9X6g1WpJS0ujpKQEAA8PDwBc\nXFxMPrtSW1vL9u3bSUpKUpfsnTNnDqtWrcLS0pLY2FhGjx6NjY0NK1asoKKigoCAAIKDgzE3N1e/\nA61atWqQfTAlhYWF1NbWqh21NTU1fPjhh6xbtw4vLy8WLlxI586d2bRpE35+fvj5+VFaWsqSJUvo\n0KEDFhYWaDQavL29Tb79ZEqaRdBiMBj44osv+OKLLwgLCyM8PJyioiJmzZrFvffey9ixY3n88cfp\n168fOp2OQ4cO4ezsjLe3N6tXr2bQoEEmuQqQoihYW1uTk5NDRkYGBoOBmJgYioqKOHPmDEuXLsXV\n1ZWSkhL69+9Pfn4++/bto0ePHia7W/eVVFVVsXfvXgYMGMDPP/+MRqMhPDwcJycndu3aRffu3bG3\nt0er1ZKenk5UVBTnz5/H1dUVLy+vy97PFB7C9VlbW7N9+3YyMjJwcXGhTZs2FBUV0aVLF2JjY9Vg\nrlu3bkRHR3PhwgUWL17M+PHjsbS0vOz9TLlh9lfZhaCgINLS0ti3b1+D7IKPjw+nTp3C2dmZoKAg\nk/v8r6SmpgatVouNjQ2bN28mNDQUKysrTpw4gV6vx8vLi/379xMXF8eMGTOwsrIiMDCwsYt9067U\niTFnzhycnZ3Vjq2zZ8+i1WqxtbXlp59+Yt26dbRp04bKykoyMzPp2rVrgyXSTfW62LdvH2+++SbH\njx/HysoKb29vfvnlF/bt28eUKVNISEhg27ZtjBkzhqNHj3Lw4EF69uxJVlYWaWlpDBw48LIA1tTm\n+C1evJhTp04xb948BgwYQLdu3dROrb1793Lx4kW6detGbW0tx48fp7y8HCsrK7744gusra2JjIw0\n2c//jzQaDadPn1ZXQbOxseGbb77h66+/Vj/3nJwcBg8ejKurK19//TWJiYk8+uijJp9NMLYX586d\nS0JCAklJSbi5ueHi4sJPP/3EnDlzOHfuHOvXr+fxxx/HxsaGTZs2UVpaSnx8PAcPHmTEiBEmfx5M\nlckHLdu2beOf//wnYWFhTJo0SV1uUaPRsH37djQaDUuXLiU6OpqHHnqI8PBwtm7dyo4dO9i5cye2\ntrYMHz7cZC7AtWvXqkts2tjYUFVVxdmzZwkMDOTUqVPo9Xq6du3KsmXL+OCDDxg1ahSvvvoq58+f\nx8zMjOjoaPz9/U26B/WPjMHbnj17sLe35+6772bJkiXU1tZyzz33sGvXLpKTkwkPD2fbtm2cOnWK\ncePGcdddd6nDoExNdnY2+/btw9/fH61WS21trbpzeXJyMlFRUQQGBvLpp58ycuRI/va3vzFz5kxs\nbW3x8vLirrvuIisrC51Op26M11xcb3Zh3bp1DB48mPbt2xMaGtpsGibwe/Dp6elJWloaubm5tGnT\nhsLCQhISEjhz5gx6vZ6goCD1mmkO/qwTo23btjg6OhIbG0tMTAwBAQHEx8eTk5NDv3791DlLTz31\nFCdOnKBjx44EBAQ0bkVuUlVVFbNmzWLt2rWMGTMGb29vdDodvr6+xMXFqZukJiUlMXHiRAIDA/Hy\n8uK///0vubm5HD58uMFw0fpM6XtSVVXFZ599xoQJE9Dr9ZSXl2Nvb4+TkxPx8fEMHz6cL774goiI\nCDw9PVm+fDk1NTXcf//9DBkyhJ49e5pUff/ML7/8QlxcnLpcr6urK2fPniUnJ4fAwEB2796NVqsl\nKCgIV1dXli5dSteuXdXMpIODA126dGkwnMzUGNuL4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S1 = sm.add_constant(S1)\n", "results = sm.OLS(S2, S1).fit()\n", "S1 = S1['ABGB']\n", "b = results.params['ABGB']\n", "\n", "spread = S2 - b * S1\n", "spread.plot()\n", "plt.axhline(spread.mean(), color='black')\n", "plt.legend(['Spread']);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Alternatively, we could examine the ratio betwen the two series." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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mDk7cOCZZ3Li9AZgsHsyKBAcU52kRZpERA2wJQiqQsCEmnFAoDKcngGy9Clq1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VEXBq0ulBYZcP225VhWWxTzfhdCxmZpTRFEUUBHny3ubXMusOkfcaLIooMhgSU8RERERESppPbY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\n6upKu3btKC4upmvXrsTGxqpBX/fu3YmKi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ratio = S1/S2\n", "ratio.plot()\n", "plt.axhline(ratio.mean(), color='black')\n", "plt.legend(['Price Ratio']);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Examining the price ratio of a trading pair is a traditional way to handle pairs trading. Part of why this works as a signal is based in our assumptions of how stock prices move, specifically because stock prices are typically assumed to be log-normally distributed. What this implies is that by taking a ratio of the prices, we are taking a linear combination of the returns associated with them (since prices are just the exponentiated returns).\n", "\n", "This can be a little irritating to deal with for our purposes as purchasing the precisely correct ratio of a trading pair may not be practical. We choose instead to move forward with simply calculating the spread between the cointegrated stocks using linear regression. This is a very simple way to handle the relationship, however, and is likely not feasible for non-toy examples. There are other potential methods for estimating the spread listed at the bottom of this lecture. If you want to get more into the theory of why having cointegrated stocks matters for pairs trading, again, please see the Integration, Cointegration, and Stationarity Lecture from the [Quantopian Lecture Series](https://www.quantopian.com/lectures#Integration,-Cointegration,-and-Stationarity).\n", "\n", "So, back to our example. The absolute spread isn't very useful in statistical terms. It is more helpful to normalize our signal by treating it as a z-score. " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### WARNING\n", "In practice this is usually done to try to give some scale to the data, but this assumes some underlying distribution, usually a normal distribution. Under a normal distribution, we would know that approximately 84% of all spread values will be smaller. However, much financial data is not normally distributed, and one must be very careful not to assume normality, nor any specific distribution when generating statistics. It could be the case that the true distribution of spreads was very fat-tailed and prone to extreme values. This could mess up our model and result in large losses." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "def zscore(series):\n", " return (series - series.mean()) / np.std(series)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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fBVE0oihBpxPU/pPxsIX2cnG5/XjpvRr4/EFcdcE8GIZMLNPpBMytyEN9a1/M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\nQK9evdi4cSP+/v74+/tTXl7O4sWL6d69O1ZWVmg0G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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zscore(spread).plot()\n", "plt.axhline(zscore(spread).mean(), color='black')\n", "plt.axhline(1.0, color='red', linestyle='--')\n", "plt.axhline(-1.0, color='green', linestyle='--')\n", "plt.legend(['Spread z-score', 'Mean', '+1', '-1']);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Simple Strategy:\n", "* Go \"Long\" the spread whenever the z-score is below -1.0\n", "* Go \"Short\" the spread when the z-score is above 1.0\n", "* Exit positions when the z-score approaches zero" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This is just the tip of the iceberg, and only a very simplistic example to illustrate the concepts. In practice you would want to compute a more optimal weighting for how many shares to hold for S1 and S2. Some additional resources on pair trading are listed at the end of this notebook" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Trading using constantly updating statistics\n", "In general taking a statistic over your whole sample size can be bad. For example, if the market is moving up, and both securities with it, then your average price over the last 3 years may not be representative of today. For this reason traders often use statistics that rely on rolling windows of the most recent data." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Moving Averages\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. Shorter moving averages will be more jumpy and less reliable, but respond to new information quickly. Longer moving averages will be smoother, but take more time to incorporate new information.\n", "\n", "We also need to use a rolling beta, a rolling estimate of how our spread should be calculated, in order to keep all of our parameters up to date." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": false }, "outputs": [ { "data": { "image/png": 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aSUVZRfs2LdBW6jiRWkDsyWxMJlO7nlsI0XmcSC0EoH9P2yc8oYHmhOdsplR4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\nEZGbSQGPiIiIiIjYLAU8IiIiIiJisxTwiIiIiIiIzVLAIyIiI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the spread between the 2 stocks\n", "# Calculate rolling beta coefficient\n", "rolling_beta = pd.ols(y=S1, x=S2, window_type='rolling', window=30)\n", "spread = S2 - rolling_beta.beta['x'] * S1\n", "spread.name = 'spread'\n", "\n", "# Get the 1 day moving average of the price spread\n", "spread_mavg1 = pd.rolling_mean(spread, window=1)\n", "spread_mavg1.name = 'spread 1d mavg'\n", "\n", "# Get the 30 day moving average\n", "spread_mavg30 = pd.rolling_mean(spread, window=30)\n", "spread_mavg30.name = 'spread 30d mavg'\n", "\n", "plt.plot(spread_mavg1.index, spread_mavg1.values)\n", "plt.plot(spread_mavg30.index, spread_mavg30.values)\n", "\n", "plt.legend(['1 Day Spread MAVG', '30 Day Spread MAVG'])\n", "\n", "plt.ylabel('Spread');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can use the moving averages to compute the z-score of the spread at each given time. This will tell us how extreme the spread 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": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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k5+gxPOqBXqdGYV5kFY0dm6rg9QVw27YlUVVBLDl62B2RLRHcb3PBajFCpUqt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xfFxcVwu904dOgQbDYbpkyZgsTERLzzzjsAgD/84Q+YNm0a3nvvPdx///1hPoOx27p1K9LS0rBi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\nKC0tpaGhg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Cl89+3bR4cOHfDw8CAyMpLg4GCCg4Px9PR82E383fH29mbbtm34+fkB8Oqr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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Take a rolling 30 day standard deviation\n", "std_30 = pd.rolling_std(spread, window=30)\n", "std_30.name = 'std 30d'\n", "\n", "# Compute the z score for each day\n", "zscore_30_1 = (spread_mavg1 - spread_mavg30)/std_30\n", "zscore_30_1.name = 'z-score'\n", "zscore_30_1.plot()\n", "plt.axhline(0, color='black')\n", "plt.axhline(1.0, color='red', linestyle='--');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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 spreads were all negative and that is a little counterintuitive to trade on." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Fgr2JYdzee+I1LUrNUVlVSUJBCgWaIga5hzSpBKponksT/PVz6wvABJ8RHEuL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\n/pY2nt1GVFYMT494qN6HZJ8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JT45f3KgKZ0JYmlnQ3y2QvYlhJOan4GjpwImMM+j1eooq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BAAAg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\nn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tgPc+882N8GeXS3iYEkLkKMmxML9GMWLghyNEKIiSwwwyUiIsiRDI05LRVdZKQU6IuQ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\nEEIIIYQQXk8CFyGEEEIIIYTXk8BFCCGEEEII4fUkcBFCCCGEEEJ4PQlch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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the prices scaled down along with the negative z-score\n", "# just divide the stock prices by 10 to make viewing it on the plot easier\n", "plt.plot(S1.index, S1.values/10)\n", "plt.plot(S2.index, S2.values/10)\n", "plt.plot(zscore_30_1.index, zscore_30_1.values)\n", "plt.legend(['S1 Price / 10', 'S2 Price / 10', 'Price Spread Rolling z-Score']);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Out of Sample Test\n", "Now that we have constructed our spread appropriately and have an idea of how we will go about making trades, it is time to conduct some out of sample testing. Our whole model is based on the premise that these securities are cointegrated, but we built it on information from a certain time period. If we actually want to implement this model, we need to conduct an out of sample test to confirm that the principles of our model are still valid going forward.\n", "\n", "Since we initially built the model on the 2014 - 2015 year, let's see if this cointegrated relationship holds for 2015 - 2016. Historical results do not guarantee future results so this is a sanity check to see if the work we have done holds strong." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "symbol_list = ['ABGB', 'FSLR']\n", "prices_df = get_pricing(symbol_list, fields=['price']\n", " , start_date='2015-01-01', end_date='2016-01-01')['price']\n", "prices_df.columns = map(lambda x: x.symbol, prices_df.columns)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "S1 = prices_df['ABGB']\n", "S2 = prices_df['FSLR']" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value: 0.991161185763\n" ] } ], "source": [ "score, pvalue, _ = coint(S1, S2)\n", "print 'p-value: ', pvalue" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Unfortunately, since our p-value is above the cutoff of $0.05$, we conclude that our model will no longer be valid due to the lack of cointegration between our chosen securities. If we tried to deploy this model without the underlying assumptions holding, we would have no reason to believe that it would actually work. Out of sample testing is a vital step to make sure that our work will actually be viable in the market." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Implementation\n", "When actually implementing a pairs trading strategy you would normally want to be trading many different pairs at once. If you find a good pair relationship by analyzing data, there is no guarantee that that relationship will continue into the future. Trading many different pairs creates a diversified portfolio to mitigate the risk of individual pairs \"falling out of\" cointegration.\n", "\n", "There is a template [algorithm](https://www.quantopian.com/lectures/example-basic-pairs-trading-algorithm) attached to this lecture that shows an example of how you would implement pairs trading on our platform. Feel free to check it out and modify it with your own pairs to see if you can improve it." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Further Research\n", "This notebook contained some simple introductory approaches. In practice one should use more sophisticated statistics, some of which are listed here.\n", "\n", "* Augmented-Dickey Fuller test \n", "* Hurst exponent\n", "* Half-life of mean reversion inferred from an Ornsteinâ€“Uhlenbeck process\n", "* Kalman filters" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "(this is *not* an endorsement) But, a very good practical resource for learning more about pair trading is Dr. Ernie Chan's book: Algorithmic Trading: Winning Strategies and Their Rationale" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }