{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Python Pandas for Financial Stuff" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import datetime\n", "\n", "import pandas as pd\n", "import pandas.io.data\n", "from pandas import Series, DataFrame\n", "pd.__version__\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 39 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Stoxx-Europe-600-Index" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thanks to this:\n", "http://nbviewer.ipython.org/github/twiecki/financial-analysis-python-tutorial/blob/master/1.%20Pandas%20Basics.ipynb" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sc='FXXP.EX'\n", "stoxx = pd.io.data.get_data_yahoo(sc, \n", " start=datetime.datetime(2013, 1, 1))\n", "stoxx.head(10)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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OpenHighLowCloseVolumeAdj Close
Date
2013-01-02 285.33 285.33 285.33 285.33 0 285.33
2013-01-03 286.83 286.83 286.83 286.83 0 286.83
2013-01-04 287.83 287.83 287.83 287.83 0 287.83
2013-01-07 286.63 286.63 286.63 286.63 0 286.63
2013-01-08 286.25 286.25 286.25 286.25 0 286.25
2013-01-09 288.22 288.22 288.22 288.22 0 288.22
2013-01-10 287.44 287.44 287.44 287.44 0 287.44
2013-01-11 287.08 287.08 287.08 287.08 0 287.08
2013-01-14 286.01 286.01 286.01 286.01 0 286.01
2013-01-15 285.97 285.97 285.97 285.97 0 285.97
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 40, "text": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2013-01-02 285.33 285.33 285.33 285.33 0 285.33\n", "2013-01-03 286.83 286.83 286.83 286.83 0 286.83\n", "2013-01-04 287.83 287.83 287.83 287.83 0 287.83\n", "2013-01-07 286.63 286.63 286.63 286.63 0 286.63\n", "2013-01-08 286.25 286.25 286.25 286.25 0 286.25\n", "2013-01-09 288.22 288.22 288.22 288.22 0 288.22\n", "2013-01-10 287.44 287.44 287.44 287.44 0 287.44\n", "2013-01-11 287.08 287.08 287.08 287.08 0 287.08\n", "2013-01-14 286.01 286.01 286.01 286.01 0 286.01\n", "2013-01-15 285.97 285.97 285.97 285.97 0 285.97" ] } ], "prompt_number": 40 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Schlusspreis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(9,3))\n", "stoxx['Close'].plot();\n", "plt.ylabel('\\$')\n", "plt.title('Closing Price %s' % sc);\n", "plt.savefig('Closing-Price-FXXP.png',bbox_inches='tight', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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swZj3L8O6YaZfbDec2otl2zyvObdO9sscpUVrFI2zze0orhwCfvLWGLF98ygB\nq1/FeGRdiX3VtJOoWWe8OTZdxqI1igZzYGWYfUU84e0BMB7fhuVX75k/uT2LP8nZPvhpPPVa4mo3\nstRzSEelDMi1Zi9SBz1SDz1SDz3VXQ/FnkbAihewrnzJmwPhyML68+uEvtaO0Ld76JwV87Z5BKx+\nFaGouJvcDIAx8ZeCsTLPEPyfEZgSNgB4t/7mZuBpeBOeiE6gKHR/4EWy73zb97zCcTuxfTUFRXOT\n2/NBtEY3VfwcV4l9yIsIgwlL3P8wxS/HcPE4ANb172Bb/FfUiyeL/JwY8pxAd9Ob/bpMVhbcTb3H\n3Fh/+Q+GtCQ89Vt5k5CLwRPRmYzHd+CKHlLqOWSOikQikUiwrn8X60ZvZMOydQ6YrKiZqb7npoM/\n4+x2H6bflmH77jEAcka+hQhuRNB/xxCw/m0Mp/fj6DUZ2zf/wHDhGJ56LRHWUIzJuwAKJarm19FQ\nM09X/PtZ+2+Mp+PxhLXAPvjZCh+/LGj1WuDo+RDWTR8QuLggwmPKqzuiXjxJ1l+WgaqPIeRHqzxN\nu1aesaXEnWeTkncEgeOWvxSyv7zIiEoZqHVrzWVE6qBH6qFH6qGnWuiRdwaLae93gHerrO3bfxLy\n5s0+J0ULqIOam46amYq7yc04ut8PgOnwWgxJuwhc+BcUoWGPmYaz2wTczbv7hjf//hPBn47EcOEY\n7vCOZP51Bc4Od/meu24c6HsdGxuLCLkeADU9pULfpiEpDuuGdxGKQs4fP6g2yyQA9v6PowXW8/1i\nvxTTsV/YOuelQveNyXsAcEd09rt9V4sIaYQnrxS+sATj6DKmwueQERWJRCK5RjAe+9V3BktOZirW\nDe/pohmeOk3IeGw7ll/+g1a3Ka42t6NePI5l6xyMRzZgsYWheJw4uowjt9/jgHc3i6PbBNQzB1Fc\nDozJu3B0/hM5I14HS7D34Dm8v8Tczbrr7NHyzodRslJ921vLjSuXwK8eRtE85PaajLvFLeUfsyKx\nhmCPmU5gXlTKc92NGM4cxNl2BObfvsf0+0/AC7ouSnoy4I3IVEfczbtjuHgcx83jwBJc4eNLR6UM\nVPe15spC6qBH6qFH6qGnOuhhumR7q+2HaYA3dC8MZkyJm71he6MZx20P+9ppYc3x1GuJ4fxRzHu+\nBsDZSb+lOOfOd7wvPC7U9GS0sOYF/RtFk33nu2h1wiGvqBoU6KEF1kfNPoeSdRYR0qjc7zFgzesY\nzhzEU78VYKD1AAAgAElEQVQ19kHPlHs8f+C8eTzm3V+hZqSS+eCPKFln0Oo2xXRoLQM4SPq5BF8x\nNTQPaobXmdSCy6+PP8gd8CRaSGMcfR7xy/h+XfrJzc2le/fudOzYkejoaKZN834x/u///o+bbrqJ\nDh06MGrUKNLTCyr1zZgxg8jISKKioli1apU/zZNIJJLagaZh2TAT4+Hid4+oZw5i3fKx71qYA8kZ\n8TqZD60g6/7FZE5YhOPWvxbZ1xXp3VKav1zhadyh6EkMJp2Tko+z23248yu+Xm56/vJPRvmXfwwp\n+7FsfB+hqGTfPavI4m7VAoORrL8sI+PxHYjAMLSGUWC24Ww7HADz7iW+pkrWWRTNjRZYv8wnN/sb\nrV4Lcv/wnK9WTEXjV0fFarWybt06du/ezd69e1m3bh2xsbEMGjSI/fv3s2fPHm644QZmzJgBQHx8\nPIsWLSI+Pp6VK1cyZcoUtEv2l1cXqsVaczVA6qBH6qFH6qHHn3qY4n/AtvIFgj+/C/V8Iobk3brn\nxt9XEfqOdwnEUyeCtGcTSJu2vyDx0RSAOyoGDEUH2S/dxeEJa+6rsloe8vXIj6JUhKNi3rMERWg4\nu46vlomnOlRDoR08zk53s/4UmHctBuGt26tmeHdbaaGNK93E6oLfl35sNhsATqcTj8dDWFgY0dHR\nvufdu3fn66+94cSlS5cyZswYTCYTzZs3p3Xr1mzbto0ePXroxnz44Ydp2tRbLCYkJIR27dr5woj5\nH35/Xu/bt69S55PX8lpey+uSrgef9C7prD8F/LMLfRuDK7I/P1tuwd3kZv5w2BtJWXfGSm7bCfSw\n1b26+br2QqhGNiS5cVnD8W5Irhj7rSkKMYCScbrc421Z8Q1qGnRpf2eV/nuU9Xp9isrhrGD6XkjE\ncHIHG044MB77hSF4HZWqtq+irgE2b97MiRPeU5QfeKD4isEAihDCr8ctaJpG586dSUhIYPLkybzx\nxhu658OHD2fMmDGMHTuWqVOn0qNHD8aNGwfApEmTGDJkCHfdVZA1vmbNGjp3rn6ZzxKJRFIVKDkX\nCX2tLYrLXuRzLbghamYqwmglfXp8mcPzQZ/cjilxCzmDn8PR9x/lMVmHdc3rBPz8OvZ+j5E76Oky\nj6OeSyD0ra5o1lDSnzmky4epSQQsfxbrplnk9piE/Y43sGz5BNuyp8jt/mfsI9+savP8QlxcHAMG\nFL00CJWwPVlVVXbv3k1SUhIbN25k/fr1vmevvPIKZrOZsWPHFttfqWbFbSQSiaS6YEzYRPD7fQo5\nKfZ+j5Mz5EU8DSJ9tVCc7e8sVw5Bbv//wxXZH2fne8pl8+VowRWTo2I6sh4A940Da6yTAuDs6D3d\n2bz3m7zkZO/Sj7iGl34qrY5KaGgow4YNY8eOHQDMnTuX5cuXs2DBAl+b8PBwTp486btOSkoiPLx0\nx0BXJnLt3YvUQY/UQ4/UQ0+F6uHKJeDHpwn+9A4MaUm4wzuROek732NHzwdx9J5KxqO/kvHQCuyD\nn8U+tHB9jqvB3boPWX9e4qt9Ul7y9cg/nK681WnVtCQAPA2jymdYFbMhIQ1Pw5tQcy5gOrTWVxH4\nWs5R8aujcu7cOdLSvCdF2u12Vq9eTadOnVi5ciX//ve/Wbp0KVZrQRbziBEjWLhwIU6nk8TERA4f\nPky3bt38aaJEIpHUOAJ+fg1r7IcI1YB94JNkTl6Ju1Vvske9R9bYzxFB9b0NFQVP8+7k9n0UEViv\nao0uBu/2aBOGpF1lPlkYvGX7oaA2S41FUXB0youqxC2UybT4OZk2JSWFCRMmoGkamqYxfvx4BgwY\nQGRkJE6nk5gYbznlW265hdmzZxMdHc3o0aOJjo7GaDQye/bsarn0Ux3qIVQHpA56pB56pB56KlIP\n4+G1AGSPm4creqjvvrPr+Aqbw9/49LAE4W7aDVPiZowJG3G1HVGm8fKXuLSgmu2o9OrVC2daCwJW\n/Qvzb0sRRgsAWp2IKras6vCro9KuXTvi4uIK3T98+HCxfaZPn8706dP9aZZEIpHUXJw5GFIPIFQD\nrtZ9q9qaCsEd2Q9T4mZMh9fpHBUlLQnDmYPe7dFX+KNVyXNURPB1frW1MhB1wrEPfRnbD9NR3A6c\n7e9EC6ueVWkrA3nWTxmQa+9epA56pB56pB56KkoPw6l9KJoHz3XeImE1lUv1cLXuA4AxcQsIgfHI\negLnjyf0jY4Ez7kb8+6vrjiempW/9FOzHZV8XRw9HyLn9lfJGfIS2fd8Uu1OTa5M/BpRkUgkEknF\nYkzyRqk9EZ2q2JKKw3N9W4RqRD2XQNC8P2E6uFr33HhkPc68vI2iB3CjZJ9DKAoisIGfra0kFKXY\nSsHXGjKiUgbk2rsXqYMeqYceqYeeCtFD82A6tAaonifpXg06PYwWtAaRKELDdHA1wmjFHjOdzAmL\nvI+PbS1xLCX7HIoQiMD6xVbXrSnI701hpKMikUgkNQEhCFz0IKbDaxEGM+68U4lrC+7r2xa8btWL\n3P6P447shzAHYriQ6NvVUxQFibQ1e9lHUjTSUSkDcu3di9RBj9RDT63VQwgClv4ftm/+DldxFll5\n9TBvm4d577cISzBZf15S5OF/NYnL9fA0auN77WqRF1UwGHE36QKA8XjxUZV8J0bU9K3J1OLvTTmQ\njopEIpFcBeq5BKy/foZl+3zMOxdcuUNF4HFjW/E8ANmj3sXdsvYtD3iuL3BU3C16Frxu7j1M0Ziw\nsdi+alZeRKWGJ9JKikY6KmVAriF6kTrokXroqa16mA6u8r0OWPkC6tkjpepXHj3Us4dQHJl46jbD\nlXfgXk3ncj0817creB3ewffaFTUIAHP88mIjWGotiqjU1u9NeZCOikQikVwJITAc2wqOTEwHf/bd\nVnMuEvzpSNTziX6d3pi8GwBPeEe/zlOViODryJy4mIyHVujO6vGEd8RTJwI1IwXDyZ26PuYdC7At\nfBD1XAIAWnCjSrVZUjlIR6UMyDVEL1IHPVIPPbVJD+vaNwj5eAiBi6dgTNyMUFTSntyLq0VP1IxT\nBP9nBKY93xA8ayC2b/6OZf27GFL268aI3bQJ3I4yzW9I3gOA+5JIQ02nqM+H+8aBeJp3199UFFxt\nhgNgjv+x4L4jC9uyaVj2LMG8ezEAnkbRfrO3sqhN35uKQjoqEolEUgKmAz8R8PPrgPcXpeJx4W7R\nE1EngqwJ/8PdrBtqejJBCydhTIrDsn0+tp9eIujzUbqza0z7f6DO8xHeyMxVUhBRqT2OytWQXxDO\nkKcDgHnvtyjOLAAUzQOAp3H7yjdO4neko1IG5BqiF6mDHqmHntqgh3ouAdvihwAQ5kDffefN93pf\nWILJnLgYd5ObAfA0iMQeMw1hCUbNOkvAyhd9fQayB0XzYN7zdekN0DSMh9dhSPnNO37j2uOoXM3n\nQ2t4EwCG1N999yzb5unaeOo2QwSEVoxxVUht+N5UNDW7Mo5EIpH4C0cWQV/ch5qbgTN6GO7WvbF9\n/ySaNQRn2+EF7awhZE76FmPiL7hb3QZGC87o2wl5vw+WbfPwXN8WR9f7MCTvBcCUGIv9SnN73Fg2\nfYBl2zwMF497bzWMQgSG+ee9VnO0OhEIcxBq1hmU7POo6ckYk+IQ5iBfVOVajTZdC8iIShmQa4he\npA56pB56arQeQmD77jEMqQfwNLiB7Ltn4eh0D87oodiHvgymAH17cyDuGwdC/km3jW4i5863AQj4\n/gmsa/7NhhO5gDcqoGSdLXF668b3sP30EoaLx/HUaYI9ZhqZD3xX8e+zCrmqz4ei4Gl4I+DVz7zt\nvwA4ut6LJ6+ejKdxu+J61yhq9PfGT/jVUcnNzaV79+507NiR6Ohopk2bBsBXX31FmzZtMBgMhU5X\nnjFjBpGRkURFRbFq1aqihpVIKg9HJkr2haq2QlKJBKx4njrPN8Gy+yuEyUbWvfPAGgLWELLHf4Gz\n6/hSjeO8+V7sMdNRhCBg3Zu6Z8bELcV31DyY85Y1su+aScb/7SK3///VilOBy4PnuigADElxWPIO\nKXR0vQ9X9FCEouKK7F+V5kn8iCKEEP6cICcnB5vNhtvtplevXrz55pvUr18fVVV56KGHeOutt+jc\n2XtmRXx8PGPHjmX79u0kJyczcOBADh06hKoW+FNr1qzxtZdI/ImSnkzI+31BaKQ/9Vvhv6IltQ5D\nUhwhswb6rrPvmlmQj1IWhMC29HEsW+cA4KnTBEPaSZzt7yR7zGdFdjEeWkPwnLvx1G1GxuM7QZWB\nbwDLplnYlj+LMFpQ3A7czbqT+dcV4HGhZJ9HhMityTWVuLg4BgwYUOxzv+eo2GzeY8idTicej4ew\nsDCioqKKbLt06VLGjBmDyWSiefPmtG7dmm3bttGjRw9du4cffpimTZsCEBISQrt27XwJSPlhM3kt\nr8t8LQT9bSexrn2LjYfPA9ApIwWtXsvqYZ+89tv11k+ewXQKbut4I/ZBT7PuQijExpZ9/M2bod4d\nDOqQifnASn5qOYWAH6fTj29RHJmsyY7AHTWYWwcM9vW3bJnHIMDZ+U/EbtlSrfSpymvP9W1ZfwrA\nQd/G3mhKdbJPXpf+GmDz5s2cOHECgAceeICS8HtERdM0OnfuTEJCApMnT+aNN97wPevXr58uojJ1\n6lR69OjBuHHjAJg0aRJDhgzhrrvu8vWpDhGV2Ev+x3UtUxt1UC+exPb1VEyXlevOmPwTnqZdS+xb\nG/UoDzVOj9wM6rzUAlQj6U/uq/ClltiN6+nVuy+BX9yHef8PvvvCEoyj63hye01BhDb2Pc8a+zmu\ndiMr1IbqxFV/PjSNwC/vx7x/GZo1hPRp8WC2+c/AKqLGfW8qgCtFVPweU1RVld27d5OUlMTGjRtZ\nv379VfVXFMU/hkkklyIE5h0LCHmvF6aEjWiB9cn+4yxcrXoDoMo8lVqP4cJxFCHQ6rX0Tz6I6g1g\n5/b7J1pwI5zt78TVqjeKIxNr7GxCPhwEjizUzNOArLJaCFUle8xn5Az7F9lj59RKJ0VSNJW2PTk0\nNJRhw4axY8cO+vbtW2Sb8PBwTp486btOSkoiPDy8kiwsPdeat1sctUkH64Z3CfjpZQCcbW4nZ+Rb\niKAGvoPQlJzzhTs5c7x5K3nOdG3SoyIoqx5K1lmC5o/D1bo/uTFPVbBVxaPmbwP206nE+Xp4wjuS\nPj3ed9+QvIfAL+/HcOEYxpM7UTK8jkptz7ko0+fDYMTRa0rFG1ONkP8fKYxfIyrnzp0jLc1bmdFu\nt7N69Wo6deqka3PpytOIESNYuHAhTqeTxMREDh8+TLdu3fxpouQaxxS/nOCZvX1OSvao98geNw8R\n1ADAV7fi8p0/SloydV5qge3bf1SuwdcAgYsnYzyxg4C1b1y5cQWiXvA6KlpYs0qd1xPeAVeUN0fF\neGI7amb+ScA1/4A9iaQi8KujkpKSQv/+/enYsSPdu3dn+PDhDBgwgG+//ZYmTZrw66+/MmzYMIYM\nGQJAdHQ0o0ePJjo6miFDhjB79uxqufQj97l7qQ06WFfPwJhX9TO354PeraeXfOaErR4A6mURFcvO\nBSgeF5bt8333aoMeFUlZ9DCc3Inp8Frf9aUl6P2Nz1Gp29Qv45ekh7upt7Kt6fdVKB4XmjW01u8y\nk9+XopG6FMavSz/t2rUrVCcF4M477+TOO4s+qnz69OlMnz7dn2ZJJF4cWRhSDwCQM+INHF3vK9RE\nC/Q6Kkq23lFRXFesLSopA+Z9S3XX6pnDeJqVnMRcUeRXgNX8tPRTEvmJ2saTO4Dav+wjkVwNcoN+\nGZBriF5qug7G5D0oQsPduAOOWyaB0VyojbDlLf3kXLb0k5tRcOF2AjVfj4qmLHqYDqwEQAtpDIDh\nzO/g342JPgoiKv5Z+ilJD61OE91Sz7WQSCu/L0UjdSmMdFQk1yyGkzsBcDfpUmwbkRdRUS+LqKgX\nT/heK9kll0OXlICmoab+jvHwWixbPsFw7ghaQB0ceUXWAr/5OyFv3ox69kiFT63kXMSy4T3MO7/E\nkBTn+zf1hPln6adkYxTcLW71XWoyoiKR+JCOShmQa4hearoO+WF2TwmOilZMRCX/r28ANe/clpqu\nR0VTGj1s3zxC6Ls9Cf78j9iWeXf4uKIG4WlUUBTScCGR4E9Hop5PrFD7rGtex7byRQKX/I2QWQNR\n3LnepT5LcIXOk8+V9HDe9Aff62th6Ud+X4pG6lKYEnNUsrOzURTFV13W7Xbz8ccfs2/fPtq2bctD\nDz2EyWSqFEMlknLjzAajFVQDOLN9W4/dJRRyE0XlqGgefUQlU0ZUyoTLjnmv96A9V8vb0EKvRwsN\nx9HjARR7uq+ZFtIYNeMUQZ/eQdaDP6LVbVL+uTWPLx/GGTUIw8UTqOeO4moz/Aod/Yf7xoG+16KW\nJ9JKJFdDiY7KH/7wBx577DFGjvRWR3z88cdZsmQJ48aN48svv2Tnzp3MmTOnUgytTsg1RC81SQdD\n0i6CPxqCsNXF2W4kGEyouRm4m3ZFa9C62H4ioC4Aiv0iaB5QDSgZp1E8Tl8bNesMULP0qAwu10M9\nfQBz/I+4WvfB07QrxqObUVw5uBu3J+sv+iRaEVgfT1gLRGAYWfcvIWjuaIwnthP0nxFkTlmNCKoP\ngHn3VyhZZ/HUb41Wv5V3x47hyn88GY9vRc1MxVO3Gdn3/c+700sI3Y6viuZKnw8RUMf3WqsT4Tc7\nqgvy+1I0UpfCFOuoHD9+nP379xMVFcXx48fxeDx8/vnnzJw5k379+nHfffcxYMAATpw44Tt3RyKp\nrlg3zULxOFEyU7Fu+dh3P7fnQyV3NBjRAuqg2tNQ7GmIwHoYk/Q72ZQsGVEpFrcT884FWHYs8Olm\n2TaX9P/bjel37+no+TVEdBjNZDy2DYQGBhOZ939F8H/uwHhqD+a4hTh6/w1j4i8ELtL/+2nBDcn4\n+2Zf/ZviMP22zDt3+5EFzkk1KIWQ/vgOTAdW4ux0T1WbIpFUG4rNUZkzZw5Op5P//e9/zJ07l+ee\new4hBMePH2fu3LksWbIEh8PB3LlzK9Hc6oFcQ/RSI3TwuDHHLcK89xuEopJ135fk9pqCp04T3E1u\nxtXm9isOkb/8YzhziIAVLxD4vz/rnssclaKJjY3F9t1jBH73GMakODRrCJotDDX9FKYDyzEfWA6A\n68aYogdQDQXREWsIjlu8B5cZk3cBYImd7e3f/BZcrfshzEGomakYTu25om3Go7Elz+0HSvP50Oq1\n9FZeVQ2VYFHVIr8vRSN1KUyxEZUXXniBNWvWoKoqo0aNYvr06QwdOpTnn38egKysLD7//HOee+65\nSjNWIrlarBvfI2DVKwC4bvqD78c+7F+lHsPdrDuGcwkE/ed2FCEQikJuz4fwXHcDgd89hnXzh956\nLDc86q+3USNRTx/AsnMBwmAmZ9R7ONuNwLJ1LrYfnyZowUQAPHWb4oko3SGjnnBvVWtD0i7Uiycw\nHViOMJjJHjsHEXwdgQv/gnnP16iZZ0oeKDcDQ2o8wmDCHdGp5LYSiaTKKXHXz4cffsiPP/5Ijx49\nSE9P58033/Q9mzlzZomnHdZm5Bqil5qggyl+BQDu8E7Yh71SpjFybn8VT/3WKELgaXgTmX/9Cfvw\nGbpS66Yj6+ndRi6BXkqMYzMAub2n4ux8D5gCcHYZi3ZJLoazyxhQS7f50HPdjQijFcOFY5gOrEQR\nAteNA30HCGp5/1WyinZUzFvnYtk0C+OJ7d5/y/COlVr9tSZ8XyoTqUfRSF0KU2Iybdu2bdm2bVuR\nz2T1WEl1R7GnYUjehTCYyXzwezAHlm0gawiZD/2I8fhWXDcO8hWGE0H6E3YNp/ZW+jkx1RnD2UMA\nuNoW7KQRAaHk/PEDguZ766Q4O4+5igGNeBq3w3hiO+ad/wPAc3073+P8Imn5Z+VcipJ9gcDv/um1\np3U/wBspk0gk1R9ZR6UMyDVEL9VdB2PCRhQhcDfrVnYnJQ8R1MCbz3JJ9VpPWDM0a4jvevPPP5Zr\njlqFprFx31Gg8GnEruihZP3pU7LGfH7V5+q485aJjHl5KJ5GN/me5TuOShFLP8aEDb7XpiPrvGM1\n73FVc5eX6v59qWykHkUjdSmMdFQktRZz3s4Od+s+/pnAEkzGP7eSPeo9AAznEvwzTw1EyTyN4nai\nBdaHS5y5fFwdRnl33Fwl7pa36q49DaN9r/OXfoqKqJgOrdVdu5r3qNREWolEUnb86qjk5ubSvXt3\nOnbsSHR0NNOmTQPgwoULxMTEcMMNNzBo0CDS0gpOSJ0xYwaRkZFERUWxatUqf5pXZuQaopfqpoPl\n188IWPYU1pUvEbD8Wcx7vkYYzN66KX5CBDfE3dKrQ39bst/mqW4YkndjWzK10GGNvufnE+nbGLR6\nLSp0Xldkf931pePnn5WjXp6jIoTvRGZH5z/hbD+KrAkLS1VvpSKpbt+XqkbqUTRSl8L49fRkq9XK\nunXrsNlsuN1uevXqRWxsLN9//z0xMTE88cQTvP7667z22mu89tprxMfHs2jRIuLj40lOTmbgwIEc\nOnQItZTJdpJrF/X8UWxL/6/QfXvMNLT6rfw6txbWHM0agpp5GkPyHjzhHfw6X3UgYMWLmBI2oAU1\nIPcPhXf+qRe85e49FeyoYLahBdZHzT6XN1HBNt6CpR99REU9cxA1IwUt6Dpy/jirWtRLkUgkpcfv\nHkB++X2n04nH46Fu3bp8//33TJgwAYAJEybw3XfeMtpLly5lzJgxmEwmmjdvTuvWrYtN5q1K5Bqi\nl+qkg+F0PADuRtHYBz2Nve+j5Ax9Gcdtf/P/5IqCs/MY1p8C25K/+U5TrjW4HRgPryPgh6cJeasb\noa9EYcrL+TDv+Ro0rVAX9Xwi609VfEQFwD7kRQAc3e/X3Re2MIRq9BbnyzqH9ad/oaQl+5Z9XJH9\nqtRJqU7fl+qA1KNopC6F8WtEBUDTNDp37kxCQgKTJ0+mTZs2pKam0rChN0zbsGFDUlO9fwGdOnWK\nHj0KEtwiIiJITi4cTn/44Yd91XBDQkJo166dL1yW/4/sz+t9+/ZV6nzy+srXA10HAVjrvhGHqTu9\n+lWyPYOfQftpKbFx+3F88Ajdpr6Pad9S1p8LRFiDq1yfslwrWWfZ+dIdqGeP0K+RG4D1pwCgb2Pv\nfzfFnyT7m0/p+ccHC/p7XAzd/wMAG066cMXGVrB9TegzZTWehlH656rKuguhqDnnuWXVy1i2zyc2\nLh4lK5WBgPuG/tVKX3ktr6/V3y8Amzdv5sQJ75lpDzzwACWhCCFEiS0qiPT0dAYPHsyMGTMYNWoU\nFy9e9D0LCwvjwoULTJ06lR49ejBu3DgAJk2axNChQxk1apSv7Zo1a+jcuXQFoiTXDraFD2LZs4Ts\nu2bivPneKrHBcOxXgj8ZBoqKp2E0xpR95PZ8EPvw16rEnvJi3j6fwG/+DngjVa4bB+GJ6Ogr1qYF\nNUDNOoureQ+yx85BzTqLei6BgBXPY8g7tDHj4Z9LXdCtIgj+oD/G5N0ISzCKIxN3o2gM546iuHNJ\ne/ogIqhBpdkikUhKR1xcXIl12fweUcknNDSUYcOGsXPnTho2bMjp06dp1KgRKSkpXHedd205PDyc\nkydP+vokJSURHh5eWSbWfjxu8DjKvVW3OmI4442oeK67scps8DTvgaPXFKybZmFM2QeAefeSGuuo\nGE5534O9/xPkxjzlu5991/uY931HzvDXCP5kOKZjv1Ln1Zt0fT0NInF0GeurJltZ+Iq+OTIBMOYv\nCTZuL50UiaSG4tcclXPnzvl29NjtdlavXk2nTp0YMWIE8+bNA2DevHm+05lHjBjBwoULcTqdJCYm\ncvjwYbp16+ZPE8tETV1DDP7PcELf6o6Sc/HKjUtBtdFB82A4exioWkclNjYWe8x0PA1u8N3TQhpV\nmT3lxZiyFwB3C329EefN48i6/yu0+q3IvudjhCUYzVYXz3U34mrVB/ugp8l4ZBNrDF0qPSfE3aro\nreiX7xaqCqrN96WaIPUoGqlLYfwaUUlJSWHChAlomoamaYwfP54BAwbQqVMnRo8ezWeffUbz5s1Z\nvHgxANHR0YwePZro6GiMRiOzZ89GkRn6FYMjE+PxrQBYNn9Ebsy0Kjao4lAvnkBx56KFNC6yZkel\nYgog6955BKx8EfOBlahpSVVrT1nRPBhS9gP66q+X4251G2nPH6s2O2kcXe/F9uPThe67I/tVgTUS\niaQiqLQclYpC5qiUDUNSHCGzBgKgWUOxD5+Bs90d5T7rxLp6BuZdi8j86wpEyPUVYWqpMBz7Fcuu\nRdj7PYbl188J2PAuzpuGkH3fgkqzoUSEoM7zESguOxefP1b1DlQpMf6+CvOBlTi63kvIrIFooY1J\nf+q3qjbrqrCue5uAVf/C3agNxtP7EeZA0p5N0FUVlkgk1Ydqk6MiqVoMZw75Xqu56QR+NYWAH6bj\n7DIG+8BpYAm66jGNh9YQsPbfAJgO/oyz6/gKs/dyzHELEWYbrrYjMB5aQ9D88SjuXCzb5vna5Pat\nRqcXKwpaaDiGc0dQ00/pSu1XSzwuAn56CeumWQCoZ34HwF1CNKW6ktv3URyd7sFwej/B8/7kXfaR\nTopEUmORldTKQE1cQ1TzHJXc3o+QPeo93OGdUO1pWGM/JPDbR7Et/iumPV+Xejwl+wLb33nId204\ntbfCbfbNlX6KwK+mELRgIpZNswn67zgUdy7ikmiQs/0oPE1v9psNpeHyz4VWJwIANb2aVqx1Owlc\nMBHb4skE/2eEz0kBMB37FaBcmlbZ90RREHXCcd8YQ9b4L8gZ+eaV+1QCNfH/G/5E6lE0UpfCyIjK\nNUL+rhh3eAdc7e/E2XU8xoRNBH96h7doF2DZtZiL7UddOd9ACGxLH0fNuYAW4d2imr/LxR8YjxcU\n/bMtfwaA3Fv/iqPrfQSseR13i544bvZfNKes+ByVapqnYjyyAfNv3/uutZDG2Ac9TeCSh333XFGD\nq+cimyAAACAASURBVMK0ikFRcEUPrWorJBJJOZGOShmozmcxGE7swLrpA7S6TfBc3w5Pw5tQMk5j\nPrACAO2SHSnuVrfhankbpqObfPfUi8fRLjvt9nJMe7/BvO87+jQPJPO+LwmZHeNNvNQ8upLmFUV+\nEnA+ub0fwf6H50FRyB47p8LnKyuXfy60UO/WejUtCcOJHRguJKKFRqDVifDuBqrks2Yux/z7St9r\nZ7uR5Ix4AxFYj4BVr6BmnEILDcfTqE2Zx6/O35OqQOqhR+pRNFKXwkhHpZZhXfcW5t9/KvKZUFQ8\nl5174+g1WeeoGBM24SzBUVHSk7F99zgAOcNewdOkC1poY9T0U6jnj6I1iCy6X2YqxmO/4Gp7x1Xv\nEMl3VOwDn8LTqI33r+RqssukJLQ6XkfFkPo71k2zUNy5Bc9sdcn82zq0uk2rxjghMB3wfk4y/rYW\nT3hH3yNXy1ux7P4KZ9TgGqGzRCKp3cgclTJQbdcQhcB4cgcAubf9DWeb4Xjqt8bV4lZckf29UQiT\nVdfFddMfSP/HFnKGvgyA8WgJ703TCFzyCGpuOs6owax1eM9xcTduDxQUCCuK4E+GE/TlnzHvWXJ1\n78mRhSFlH0I1kNtrCq42w6rtL89COSp5TogpYaN3+7Q1FHfTmxGWYNScixiPbq4KM8FlJ3DBRG/U\nJOR6PI31hyjm9vkHzja34+g9tVzTVNvvSRUh9dAj9SgaqUthZESlFmDa+x1Kbgbu1r1Rs8+jBTXw\nHtxWyl/oWsMoXADLn8W8bynuFrd6y9Bfdmq1ZetnmI6sQ7OFkTPqXdiTV2StURs4sBJD6gHvOJfj\nzMFw7ggAxsPrcHa8u9TvzXhyB4rmwd24Q5l2JlUl+dGr/Cqp7la3kX3vf7Gufo2AtW+gnkuoErvM\ncQsx71+GMAX4ltAuRWt0E9n3/rdKbJNIJJLLkY5KGahWa4iaRtD//gyAM2oQAO4mV18RVGsYRW6v\nyXm7gP6BdctH2Ac8CYB14/vk9nmEgBUvAJBz5zuI4Ib06uU9WNLTMArwLnEUxaVRGjX91FXZZUzw\nLku5W912Vf2qgss/FyL4eoTJhuLKAQpOEtYaeB0YQxU5KsbEXwDIGfoyzk6j/TZPtfqeVAOkHnqk\nHkUjdSmMdFRqOErOed9r8++rAPA0KduWUvuwV/A07oB11b8wpP5O0Jf3+57lH0TnbDcSV9vhun7a\ndXmOSt7OossxHVzte21I3g1ClNqRMuU5Kq5WvUv9PqoNqjcnKH9HlCfM66jkR1rUvCjT5VjWv4vh\nzO84uj+Ap1nXCjfLeNy79djdvMcVWkokEknVI3NUykB1WkNUM1ML3SvPL3Vnp9FkPLad7Dve9Jak\nv4zcW//qe52vg6d+K4Siop4/Cq7cQn0u3V6s5magXkgsnTG5GRiSdyFUI+7m3a/ynVQ+RX0utEuS\nl30RlXp5EZXzR0HTdO1Ne/6/vTuPizn/4wD+mqNDdzlCrkW6hOQWikiICKkfYcM6d61zsesmx2LX\n7rLutWvd57oXOWIdKQlR7i6R7ruZ+b5/f4z5airW0jQz9Xk+HvtY853vfOfzffed+b7ncx6AwemF\n0Lu1F8YbekIn6kSZllGQHg9Rejw4fRM+wVQVTfqcaAIWD2UsHqVjcSmJJSpaTpCZBACQNHZDxpQb\nyBx7+tMnPhProbDd58iYdhMZ026i0KEPAEBWvQlk9Ur5ha+jD65qQwiI4/uiFCXMfAEAkL4ZWaJo\nevjXYsSHQ8DJIKvTAtAz/siTUS9ZkVFQXNWGAACqYgrOqDoEkjwI3sQGAIQpT2F4aIp8H5EOBEQw\n3DsOgv/YXFaU8PVjpcn4xIqJ3Oq3LdEHiWEYRhOxb6qPoEltiMIseaLCmViCq964bJsK3iQg+a6T\nwZlaIc99plKTTdE4KPqpCIs3/8gkEOa8BgmEKHTyBQBUOTkPwrS4f317YdYrAABnpqYhvP9RadeF\nokaFRDrgTN/WUCmaf/jETloIw12jICjIQmHTfkhflATJZx0gKMiC+Ok/H10m01WtYfKTKwR58lXM\nFRO8SRqqvs+PJn1ONAGLhzIWj9KxuJTEEhUtp2j64Yxrquw9ZHVaIuObO5A06//ufWrYAFBeUwgA\nBG+SDTK2REH7UZA06QZhbioMdwQAkrz3vq8gNxUAwBlYfErx1UqRwHHVGilNhqeYeE/8+BIAoMrf\niyBOuAWZWV35iCqBgJ+TRpCf+ZFvLuX/KUx5AkF2MnTunwIJRShsMfDjjskwDFPOVJqoxMXFwc3N\nDQ4ODmjatCnWrl0LALh9+zbat2+PZs2aoW/fvsjKyuJfExQUBGtra9ja2uLvv/9WZfE+mia1ISqa\nfsjYstzfu2gcFHOGFJ8uXtHswxnXBIQi5PhuhMyiAcSJt+UTx71n8W5BbhoAgLQkUSntupDVboac\n/muQ0/9Hpe0Fzv4AAP2rm6F7cwf0Q34BCUXI8dsMqmIKAKA3CxkK8zM+qjyKWhQAEKbFQTdiHwSc\nFJIm3UAmqktsFTTpc6IJWDyUsXiUjsWlJJUmKjo6OlizZg3u3buHa9eu4ZdffsH9+/cxatQorFix\nApGRkejfvz9WrpSvwBsVFYU9e/YgKioKp06dwvjx48EV62yoLqLEOxC+Y/itOvE1Kibln6gUpWjW\nKL4A39umKfmNkQzMkTP0d5BOFeiF74JukdWPi1PUqJCBuSqKXG4K2wwv0SQnq98GkkadISjIguGB\nLwEAeR7zlPoAKRKVj61RKToiTJj6DLphO+Xlcf7fRx2PYRhGHVQ6PLlmzZqoWVN+gzIyMoKdnR0S\nEhLw8OFDdOokbyN3d3dHz549sXDhQhw5cgR+fn7Q0dFBgwYN0LhxY9y4cQPt2ikPo5wwYQLq1ZP/\ngjcxMYGjoyPfrqfIRj/1cacWtiADC1z+5x8IM1+gd8gX4PRNcbzLZkCsx5elLN5PmPwQ3fNCkOe5\nAJfuPX/n/oL0BFz/bREkDl7o2L03ACDk9kOIXgEtjWuV6fl/yGMXFxf+cWdr+XTxIZGPkHP5cpH9\nr0A/EWjfxlLp9V29V8Fw33hc37ESOZLGpR5fmJuKC4lA/sNktO1YdvEuj3h8yP65XssQFjQEwrRY\ntPfyR0GnCUrPk74pLiQCkohotOr5389fmCOPHwC43DkCcVIUglNNkJNiDEUruCbFo6I/ZvFg8fjQ\nxwqaUh5VnN+VK1cQGxsLAAgMDMT7CIjeU/dehp49e4YuXbrg7t276NmzJ2bMmIF+/fph9erVmD9/\nPjIzMzFp0iS0a9cO//uf/BffqFGj4OnpCR8fH/44586dQ8uWLVVaVr2rm2Dw10xw+qaQ1W8NQW4a\nxHFhAIDsgF2Q2JXtirLG63tAHHsTnHFNZMyOeud+BrvHQO/2fkhr2iPrK/kf3GR5M4jS45ExPfxf\nFxNUqYIsmM+vDxLrI31hAt/pVv/vJahyfhXy3L9BfrcZb/eXSWC24DMIJLlInxMNMqpe4pBGWwZA\n59EFZI3cB2mTbuV1JuVOkJ0MMqxWYm4Z3Vt7Ybh3LAqb+yBnyKb/fFyde8dhtEN5Ven8juOQ12fJ\nJ5WXYRimLIWHh6Nbt3d/x5dLZ9rs7GwMHDgQP/74I4yNjbF161asW7cOrVq1QnZ2NnR1dd/5WkE5\nr+siTItDlZML5P/Oz4BO9Fk+SQEAnfsnyrwNUZgm79chzEp67/ovOk/lz4mTolDl8DTon19dpDOt\nevuoQM8YnL4JBNJ8vskGAISZiqafWsovFunIZ9AFII4NLfX4b5t+tLePyocgo+qlToD3tunnI/uo\nFPk7KBS+6RtTHlhbuzIWD2UsHqVjcSlJpU0/ACCRSODj44OhQ4fC29sbAGBjY4PTp+Urt8bExOD4\n8eMAACsrK8TFvR22Gh8fDysrK1UX8S2ZFAb7J0AgyUWhYz/k9loM8fPrEMeFgaqYosrZZfIVZ6v7\n/PuxPhTHKd2IdO7+JZ/JtSAbZFobnGltSOs6g7P4jO9cCgD617e+PYSBBaBTpezK9JHI1ArIz4Qw\nIxEyw6oAinWmLUZavw10noRA/PyGfEXkYrQtUSlrn9xHJSdF6bHUqgVktRw+uVwMwzDlSaWJChEh\nMDAQ9vb2mDx5Mr89OTkZ1atXB8dxWLx4McaNGwcA6Nu3L/z9/TFlyhS+L0ubNm3edXD5/4v8EhWm\nxcFwxzAUdBjzUb8cq5yaD50nl8EZ1UCu1zKQsSUkZgMgaT4AIIJu2C6I0p6jR/IBCDd9jxzfjR88\nekKY8gRG2wZD2rAjcvuuBMTyWiRhehwERYbp6t7aA2GxGxOJ9ZEVeEi+Aq+pFXJ7LYQwIxHC7GQI\nclMhUVOzSPHx/pyZFUQv70OYkQBZbUcAbxOV0uIkrSf/24pib5R4DgCEbxIzTks605b1/AekLx/9\n818SFeHLBzDe0AuFbYYDnFTpufKsTQHYfBDFsXgoY/EoHYtLSSpNVK5cuYIdO3agWbNmcHJyAgAs\nXboUDx8+xC+//AIA8PHxwYgRIwAA9vb2GDx4MOzt7SEWi7Fu3brSm344DkbbBkKY8hS5A3+GtKG8\np6Xuje0QJ0ZCvH8ipHVbgavR5P0F5Djo3D8B/Us/QRR3EwIikFCMHL8tJYf7CgQodBqMKsEroRf6\nBwBAP+Qn5PX+sPZ+/YtrIUp5AlHKEwjT4pE99DdAzxjCZPkKxKRrCEFhDp+kSOu1hrRBe+iG74Yw\n+xV0b++Xb6/r/N75TNRJMeW+MD0eothQ6IX+AdHL+yCRLjjzuiX2l9WRXxPiF/dKHkySD0FhDkgo\n1tpZaT/Vx9SoVAn+HsK8dOhdXg9pY/lSCrJqjcGZ1kaBChcgZBiGURWV9lFxcXEBx3GIiIjArVu3\ncOvWLXh6euLLL79EdHQ0oqOjsXTpUqXXzJ49G48ePcKDBw/g4VF6p1WdO4eg8+gCRGnPYbS5H/Qu\n/ghwHL/YGgAYbRtYan8P0fMbMF1iA8OdI2Gy1gVGOwIgjg2VJykCAXIGr+cTn+IUK80qRlLo3Dte\n6jwgBoemwGRNewhT5SN4BDmp0I3YB0DeTKPz6DxMfnCBfvBK6Dy+CAAlakUK7Xshz3M+pJ+1BwDo\n3j0KAHxNhSYo3pbKmcmb6aocmw2T9R7Qu7kDJNKRr7ZcxazE68mwqnx14YIsoNjNWKnZp5z7KX2s\nsm5bfpuoZP3LnnLClCfQuXNY/hpZIXSizwIA8jwXIHvUYeDN8coLa2tXxuKhjMWjdCwuJWnlzLRV\nzi4HIF98T0AcDE4tgOEf/nynTFnVhhClx8Noc19UOfGd0kJ5+hfWQJidDN07RyB6+UDelNJ3OTIn\nXUDWpEuQNH93/xOuWiNIGruCBPKwidJiIXp+XXknIuhG7IPoVTSMtg2EIPs1dG/tgUCSB4l1V2SN\nPwNZ9SYQpcehypkg6IfIa5akDdqDxPpv3+vNAnaKFXeF2fIZXqW1m39K6FRKMTutgJOCM62N/I7j\nkDUhGIXOfqW/QCAAZ1YHQCkTxfGTvWlHs48qkJ4RAMgTOU72r/vrX1wLAXGQ1m6mtF2bZ/ZlGIZR\neWdaVRC9fgTO1ArZI/dBJyYYBnvHQveBfBZbqZUTssadgn7wKuhfWAX9kF+gExOMnAE/ADpVoPtA\n3om3sGk/SJp0la8/I373qKPisoduR8sBaci/thX6l9ZC79Ze5DZ4O8+LIPMFBIU5b8r5GEbbhwDS\nAgBAQeth4Kp+hszJVyB+fBF6YbvktTKyQkg/6wDOvC5Eb5qCOAvFSrufKb2/JtWoFG9Lldj3Qbbf\nFnBmdSCr4/xBi95xZnUgSo6BMD0eXE17frs2Tp9f5m3LQhFIzxiCgiwICrJKrZXSP7ccumG7kTNk\nE3TDd8trBYdsgvGW/hC+WcyQDNUTQ9bWrozFQxmLR+lYXErSykQFgHytEpEOJHYeyJp0AYY7R0Kc\nEAGJbQ9ApIP87t9AYuMOw33jIHp5Hybr3zYjFTr2Q47/to97Yz1jcHrGKHAaDP1La+VV7V5B8mRE\npwpErx8DeFO7IMmHOD4cAEB6xpDYvimDUASpdVdIrbvKR8nkZYAzrwvO7G2iIqvaAADAWdTn35oz\nrqmWqfI/mFD4n/vPKJqLStSopMtHf1XWET8KpG8iT1TyM0smKhzH1y6arO8BQJ6Ac9WtUWjnCf1r\nW+THMKharmVmGIYpS1rZ9AMAhc0G8P/mLOoja+xJZH1+APldvuS3y+q1QuakC8jvOA6cSW1w+qaQ\n1m6GfNcpn/Tely9fBlfTHtJaTeUdF69tgVmQAwx3BUL4JlGR1m2F7JH7wL0ZplvYtC+go1/yYPom\nfEdT/v9G1fkOpIqaFUCzalOAsmlLLdr0I8h+Df1TC2HyQwcY7p8IACDjGp/8HuVFFW3L7+tQK3oR\nWWJbvqt8dB2fFAP82kHljbW1K2PxUMbiUToWl5K0skZFVr0JZLWaKm8U60Fq7VZyZ11D5PVZopLZ\nOAtbDIb4xV1UOTEXAuKge+8YP8GZrFojcNUbI/vzg9C7sh75Xaf96/EUC/sVbe7hTGuDRDoQyCQa\n3T/lY3GmbxMVw50j+UntSM8YEht35HeaqM7iqR2fqOSVnPRN5+F5pccS666QWcmvEWmjzpBatZCv\nsVRk1WaGYRhto5WJSl7PuWodCaJoQyxsPgBVTs2DgN4unCiOuwlA3vEWkNeC5A5a90HHlVnK+2hI\naxXpDCkUgTOvD9HrRxpXo1IWbamKph+dZ/9AmJEI0jFAdsAOSBt0+E99hzSBKtqWuSrvnktF/CZR\nkTR2g+hlFPJ6zCnypC6yJgaXeXn+C9bWrozFQxmLR+lYXErSykSltFlM1YFMa0PaqAt0Hl2QPxbr\nQyCVjzCSVbf+z8eT2HRH1qgjkFop15wUtB8FnaiTkFi7fmqRNQ7f9POm46fE3hPSxq5qLJFmIb33\nNP28vA8AyBn0M6j4EgUMwzAVhNb2UVGnom2IiqG3hQ5eyB6+E4A8YfmoBQKFQkgbdSox30VBhzHI\nHnVI4yY+K5M+Km8miVMofM/wcE2n2j4qxZp+JPkQ5qSAhGKQkWb242Ft7cpYPJSxeJSOxaUkraxR\n0SSFzQeCdI0grdcaZFQNWWPk6xaV2nGWKUlHH3ldp0Mn+gxkNZqobTkATUWmb2b7TYtV2i7MkveF\nImNL1geFYZgKTUBUytSqGuzcuXNo2bKluovBMOVC5+5RGP05HBKb7sgesYffLn56FcYbe0NarxWy\nxv2txhIyDMN8mvDwcHTr9u4fqazph2E0mOzNelWKNaEUBIpVqYs1nTEMw1Q0LFH5CKwNUY7FQZkq\n4sFZfAYSiiBMew4UWWVbyCcqmtuJll0fylg8lLF4lI7FpSSVJipxcXFwc3ODg4MDmjZtirVr1wIA\nbty4gTZt2sDJyQmtW7dGaGgo/5qgoCBYW1vD1tYWf//NqrSZSk6sC65qQwiIIHr9hN8szJSPkuJM\nWY0KwzAVm0o70+ro6GDNmjVo0aIFsrOz4ezsjO7du2PGjBlYtGgRPDw8cPLkScyYMQPnz59HVFQU\n9uzZg6ioKCQkJMDd3R0xMTEQfsCaMeWJjXOXY3FQpqp4yKpbQ5T8EMLkh5DVcgDwdji3JteosOtD\nGYuHMhaP0rG4lKTSDKBmzZpo0aIFAMDIyAh2dnZISEhArVq1kJEhH26Znp4OKyv5pF9HjhyBn58f\ndHR00KBBAzRu3Bg3btxQZREZRuNxb+bkEb2K5rcpmn7Y/CkMw1R05TY8+dmzZ7h16xbatWsHa2tr\nuLi4YNq0aeA4DlevXgUAJCYmol27tysR16lTBwkJCSWONWHCBNSrJ59u3sTEBI6OjnwWqmjfU+Xj\nO3fuYNy4ceX2fpr6uGhbqiaUR92PVRUPcXIVeALQeXgOZ/U7AgB6ZcgTlUsPEsElXtaI8y+veGjr\nYxYPFg92f3n7N79y5QpiY+XTLgQGBuJ9ymV4cnZ2NlxdXfHtt9/C29sb7u7umDBhAvr37499+/Zh\n48aNOHPmDCZNmoR27drhf//7HwBg1KhR6NWrFwYMeLsAoSYMT758+e2NoTJjcVCmsngU5sBscRMI\nJHlIn3kHZFITZnNrQyCTIG1hAqBTpezfswyw60MZi4cyFo/SVca4qH14skQigY+PD4YOHQpvb28A\n8s60/fv3BwAMHDiQb96xsrJCXFwc/9r4+Hi+WUiTVLaL6F1YHJSpLB66hpA0cZf/895RCDKTIJBJ\n5Ktsa2iSArDrozgWD2UsHqVjcSlJpYkKESEwMBD29vaYPHkyv71x48a4ePEiACA4OBhNmsjniujb\nty92796NwsJCPH36FA8fPkSbNm1UWUSG0QqFjn0ByCeAE6U9BwBw5vXVWSSGYZhyodJE5cqVK9ix\nYwfOnz8PJycnODk54eTJk9i4cSNmzJiBFi1a4Ntvv8XGjRsBAPb29hg8eDDs7e3h6emJdevWQaDG\nVZLfpWg7W2XG4qBMlfGQ2HQHifUgfn4Nolj5cH7OvJ7K3q8ssOtDGYuHMhaP0rG4lKTSzrQuLi7g\nOK7U565fv17q9tmzZ2P27NmqLBbDaB99E0isu0L3/kno/7MJACCzYDUqDMNUfGytH4bRErrhu2G4\nbzz/OKf/DyhsE6DGEjEMw3w6tXemZRimbEjseoJEOvxjzryuGkvDMAxTPlii8hFYG6Ici4MyVceD\nqphB2rgL/5jT8KYfdn0oY/FQxuJROhaXkliiwjBapNDBCwBAAgE40zpqLg3DMIzqsT4qDKNFBDmp\nMFnTFlzVhsgad1rdxWEYhvlk/9ZHRaWjfhiGKVtkaIHMr6+BxHrqLgrDMEy5YE0/H4G1IcqxOCgr\nr3iQYVVAz6hc3utTsOtDGYuHMhaP0rG4lMQSFYZhGIZhNBbro8IwDMMwjNqweVQYhmEYhtFaLFH5\nCKwNUY7FQRmLhzIWD2UsHspYPErH4lISS1Q+wp07d9RdBI3A4qCMxUMZi4cyFg9lLB6lY3EpiSUq\nHyEzM1PdRdAILA7KWDyUsXgoY/FQxuJROhaXklSaqMTFxcHNzQ0ODg5o2rQp1q5dCwDw9fWFk5MT\nnJyc8Nlnn8HJyYl/TVBQEKytrWFra4u///5blcVjGIZhGEbDqXTCNx0dHaxZswYtWrRAdnY2nJ2d\n0b17d+zZs4ffZ9q0aTAzMwMAREVFYc+ePYiKikJCQgLc3d0RExMDoVCzKn5iY2PVXQSNwOKgjMVD\nGYuHMhYPZSwepWNxKalchyd7e3tj0qRJ/DAkIkL9+vVx/vx5NGrUCEFBQRAKhZg5cyYAoGfPnpg/\nfz7atWvHH+PcuXPlVVyGYRiGYcqBRkyh/+zZM9y6dQtt27blt4WEhMDS0hKNGjUCACQmJiolJXXq\n1EFCQoLScd53MgzDMAzDVCzl0qaSnZ2NgQMH4scff4SR0dupv3ft2gV/f//3vlYgEKi6eAzDMAzD\naCiV16hIJBL4+Phg6NCh8Pb25rdLpVIcOnQI4eHh/DYrKyvExcXxj+Pj42FlZaXqIjIMwzAMo6FU\nWqNCRAgMDIS9vT0mT56s9NzZs2dhZ2eH2rVr89v69u2L3bt3o7CwEE+fPsXDhw/Rpk0bVRaRYRiG\nYRgNptIalStXrmDHjh1o1qwZPwQ5KCgIPXv2xJ49e+Dn56e0v729PQYPHgx7e3uIxWKsW7eONf0w\nDMMwTCWmdYsSqgPHcRo3RLo8nTt3Di1atEDVqlXVXRS1O378OPLy8uDq6opq1aqpuzhq9+rVKxw7\ndgz29vZKHeErs3v37uHvv/9Gr169YGNjo+7iqN2BAwcQHR2Nli1bomfPnuoujkbJzs6GkZERiIj9\nKH+Pynv3/QCRkZEIDAzEsmXL8OrVK3UXp9wdOHAALi4uWLFiBQIDA3Hw4EF1F0lt7t+/j379+mHp\n0qU4fPhwidrAymjJkiXo3r07bty4AX9/f4SEhKi7SGpVUFCAyZMnY9iwYXjw4AHmzZuHP//8U93F\nUpv4+Hh4enrip59+QrVq1TBy5EgEBweru1hqR0TIyspC7969sXjxYgBs0Mi/YYlKKYgIU6ZMwfDh\nw+Hs7Ixbt26V6GNT0V28eBG7d+/GggULcPr0abi6uiI6OlrdxVKb4OBgdOzYkW/OTE5ORnx8vLqL\npTbPnj3D06dPsXfvXvz666/w8/PDpUuX1F0stTpx4gSMjY1x8+ZNbNiwATY2NqhRo4a6i6U2MTEx\nGDRoEC5cuIAxY8Zg9OjRYBX48qRET08PqampSEhIwLFjx9RdJI0nmj9//nx1F0LTcByHtLQ0LFy4\nEF26dEGrVq1w9epVeHp6QiQSqbt4KlO0+rFq1aoYNGgQrK2tkZubizlz5qBVq1bQ09ODpaUlOI6r\n8L8CMjIyoK+vDwBo0aIFOnfuDACYO3cunj17BqFQCHt7e36fii4jIwNisRhCoRDGxsbw9vZGtWrV\nEBERgWXLlqFOnToQi8Vo0KBBhb82FJKTk2FoaAgAsLa2hru7OwQCAc6ePYtZs2ahVq1ayMzMrDRN\nQC9evICxsTEA+SjOVq1aAQBWrVqFBQsWoGrVqkhOTkazZs3UWUy1u3PnDq5duwZPT0+EhISgY8eO\nleZ75GOwGpU3IiMjkZSUBAAQCoXw9/dH1apVcenSJbRs2RIJCQkYP358iQnoKoqlS5fCzc2Nf2xk\nZAQ9PT0kJibiyy+/hKWlJbKystC9e3fExsZW6D47Z86cQePGjbF+/XpkZGQAkC8HAQDh4eG4ffs2\nVq5ciXPnzmHlypVITExUZ3FVLj8/H//73//g5eWF27dvAwCfsBcWFmLHjh0YNGgQbG1tsXz5cpw6\ndUqdxS0Xz58/h4eHBzp16oTc3FwA4D8Tjx49wt69e/H999+jfv36mDt3Lq5cuaLO4qrctWvXYGlp\niR49evDbdHV1AcjjUVBQgEuXLqFz58747rvv+O/ayiAyMhIvX74EAL5GqV69enBwcICNjQ30blmp\ndwAAHrZJREFU9fVx6tQpfh+mpEpfo5Keng5fX19MmzYNtra2sLW15W9KAPDkyRN4eHhg8eLFOHDg\nAJKSktC6dWuIxeU2qa9KcRyHH374ARcuXMD9+/dRUFCATp06QSaTQSgUwsjICC4uLhg+fDhcXFzw\n7NkznD17Fv369VN30VXixYsX2LZtGwwNDcFxHCwtLVGvXj0IBAIQEWrVqgU/Pz/Ur18frVu3xvLl\nyzFo0CCYmpqqu+gqIZFI8NdffyEyMhIWFhYQiURo3LgxqlSpAiKCWCyGu7s7XF1d0bJlS4SGhiI5\nORldu3ZVd9FVauXKlTAxMUG1atVw8+ZNdO/ene90b2FhAS8vLzRv3hwtWrTAixcv8PDhwwobk9zc\nXOzfvx99+vTBvXv3IBQK4eTkxNe6mpmZoXPnzqhTpw5sbGwQHByMtLQ0dOzYUd1FV6n33VtCQ0Nx\n/fp1TJw4EREREVi8eDGio6PRp08fCIXCSlMj+aEq7s/iDxQXF4euXbti+fLluHv3Lh48eKD0vJub\nGwYMGACBQIARI0bg0KFDFSJJKSgo4L9YXV1dsXfvXpw9exbLly9HVlYWxGIxZDIZBAKB0mifpk2b\non379mosedmTyWR8rYiFhQWmTJmCffv2QUdHBxcvXlT69Vf0C8Ta2hp16tSBTCYr9zKrmmJhNB0d\nHXTs2BF79uzBiBEjcPXqVURGRgJ4G4uitWv16tWDhYVF+Re4HLx48QJSqRQAMHbsWCxcuBDffPMN\nTp48ifv370MkEpV6Lbx48QKdOnUq7+KqlFQqRUxMDHJzc2FgYAAfHx8EBgbi22+/xcqVK5GVlcVf\nF0WvD4lEgmrVqsHV1VVNJS8/77u3WFpaolq1ahgzZgzWr1+Pxo0bo1mzZtDT06vQtdUfq1JG5Ny5\nc4iKigIA2NjYYPTo0Zg4cSKysrJw+fJlpKWllfq6J0+eoH379lp9Y5LJZBg9ejSGDRuGBQsWAACc\nnJxgaGgIW1tbeHp6Yty4cQDktS2AvHo/PT0dc+fOxYYNG2Bra6u28pe19evXw9nZGaNHj8b+/fuR\nk5ODevXqAQD8/f1x//59hIWFQSKRQCAQID8/Hzk5OVi3bh2cnZ1hY2PD718RxMXFoUePHhg6dChm\nzJiByMhI1K5dG0KhEN27d0fNmjVx8eJFfgZpmUyG3Nxc3L17F76+vti7dy88PDzUfBZlKzw8HM2b\nN8eYMWMQGBiI/Px81K1bF6amprCzs0P//v0xd+5cAG+Tt8zMTBw9ehQeHh54/fo1HBwc1HkKZerg\nwYOoXbs2pk+fjqFDhyItLQ0NGzYEAPTq1QtNmjTBkiVLAMi/Q4gICQkJ2LRpE9q2bQtdXV00b95c\nnaegMv92b0lNTQUApKamIjg4GAKBAGFhYfjuu+8QFRVVqQcsvBdVIrGxsdS8eXNydXWlbt260aZN\nmygtLY1//sSJEzR8+HAKDg4mjuOIiCglJYWCg4OpQ4cO5OHhQffu3VNX8T+ZTCajRYsWUUBAAD1/\n/pw6d+5MCxcupMTERH6fjIwMMjExoZs3b/LbYmNjqV+/fjR69GhKSUlRR9FVIiUlhTw9PenOnTt0\n4sQJ+uqrr2j69OlK+yxatIimTp1Kr1694redOHGCfHx8lGJUUaxatYqmTZtGOTk5NGfOHBoxYoTS\neUZERJC/vz8dOXKE35acnEzjx4+npUuXqqPIKsVxHAUEBNCvv/5KRES+vr40duxYysnJ4fdJSkqi\n1q1b0+nTp4mISCKRUHx8PHl5edHOnTvVUm5Vyc7OpoCAALp27RoREY0cOZLmzp1Ld+/e5feJjo6m\nBg0a8N8r+fn5FBMTQ1OnTqXQ0FC1lFvVPvTecu7cOX5bfHw8/++kpCR68eJFuZZZm1SqPio3btwA\nEWHnzp2oXbs2rl+/jtDQUL7t2NraGpcvX0ZKSgo6d+6MwsJCGBkZISwsDG3atMGyZctQvXp1NZ/F\nxxMIBNi4cSNcXV3h5uaGdu3a4fDhw9DR0UGTJk0gEomgr68PXV1d/PTTT2jZsiX27t2L7t27w83N\nDX5+fqhSpQrfJKSN7agSiYTvCBoaGooTJ07gm2++QaNGjVCrVi0cPnwYBgYG/CgNOzs7nD17FgkJ\nCVi4cCEaNWoENzc3DB48GLVr1+Z/MWpjLEqzdOlS9OvXD46OjrCzs0NSUhKOHTvGr9NVs2ZNpKam\n4s6dOzh16hT2798PX19f9OjRA126dAEgbxaoKNXXAoEAx44dg5OTE+zs7ODu7o4NGzbAwsICNjY2\nEAgEMDIyQo0aNRAUFISnT58iMjISHh4e8PPzg6Ojo7pP4ZNlZmZCT08PgLyDbFBQENq0aYMmTZrA\n2toaYWFheP36NZydnSEUClG1alVkZ2dj7dq1OH36NO7fv48BAwagR48eSkumVCT/5d7i4uKCvLw8\nVK1aFVKpFEQEY2NjpQV7GWUV49vkPV6+fInCwkIAQFhYGB49egQAcHFxwYABAxAeHo7Q0FB+/xkz\nZiAqKgq9e/eGtbU1Xr16hYEDB8LX11ct5f8UCQkJmDZtGrZs2cL3K2jZsiVycnKQk5MDOzs7dOrU\nCVevXkV8fDx/sx05ciQuXbqEXr16oW7dugDkbapEBI7jIBKJtPLGPG/ePAwbNoyvplcko0ePHoVQ\nKIS1tTU8PT2xd+9evtmrevXqCAsLw6JFi0rMvqrocKytN+WQkBB4eHhg9uzZOHr0KACga9eu2Lx5\nMwCgVq1a6N27NwoKCnDixAn+dcbGxli1ahVCQ0Px+eefA5D3ZVEkbdrch+uPP/5A7969MXfuXFy7\ndg2AfAScRCJBXl4ezMzMMGTIEPzxxx/8NQIAr1+/xj///IPIyMh/XRFemyxcuBBdu3bFzJkzsXv3\nbgBA//79cffuXXAcB3t7ezRr1gxxcXH8dysg70gaHByMevXqYd68eeoqvkp97L2lT58+sLe3R1JS\nEsRicYWe8qKsaOc37AfYuXMnmjdvji+//BKDBw8GAAQGBiIhIQHh4eHQ19eHnZ0d3NzcsH//fv51\nN2/exK5du2Bubo7Lly9r7YRN69evh6urK8RiMaKiorBgwQK8evUKdevWxZMnT/i2UF9fXzx8+BAv\nXrwAAERERMDX1xczZsxAfHy80orXAoFAK2/Kjx49Qrt27fD8+XPMnj0bx48fx8yZMwHIr4k//vgD\nAGBoaIjmzZvD0NAQsbGxICIcOnQIlpaWiIyMxPfffw/g7RBDbf2CkUqlWLp0KSZOnIiAgADY2toi\nICAAUqkUw4YNg0gkwuHDhwEANWrUgKOjIz908uXLlzh48CDWr1+Pixcvol27dnw8tHm0QlZWFgIC\nArB161ZMmzYNBQUF2LZtG1JTU9GqVSscO3aMj0FgYCAePXqEs2fPAgD++ecfHDlyBOfPn8eRI0dQ\ns2ZNdZ5KmUhKSoKvry8ePXqEbdu2oVmzZvjxxx+RlZUFR0dHJCUl4eLFiwCALl26ICwsjP9uuHjx\nIgQCAZ4+fYqlS5eq8zRUoizuLSEhIRXiOik3amt0UhGZTEZ//PEHubi40OXLl4mIqFGjRrRlyxYi\nIlq8eDEFBgYSkbz9eceOHTRz5kwqKCigvLw82r59O505c0Zt5S8LhYWFNG/ePLpz5w4RydtCx48f\nTyEhIZSenk7jx4+nn3/+meLi4oiIaMqUKTR37lwikrevp6en88eSSCTlfwJl7N69e3Tw4EH+cXh4\nODVr1ozy8/MpPj6efH19acWKFURElJ6eTl27duXblwsKCvjXSaVSkslk5Vt4FcjJyaE9e/ZQUlIS\nv83T05O2bt1KRETbt2+nLl268H/7r7/+mtatW0dE8hgUVRGuD4U1a9ZQamoqEcmvmX79+vH9CHx9\nfWndunX0/PlzIiKaM2cO7dq1S21lVbXMzEz6888/+ccvX76kYcOGUXR0NCUlJdGSJUto+vTp9Pr1\nayIiGjBgAB07doyIqEJ8RkrD7i3qo30/j/+FUCiEra0tdu3axY/TnzdvHi5fvgwA8PPzw/Pnz7F5\n82YIBAKYmpoiKSkJurq60NfXR0BAANzd3dV5Cp+E4zjo6OhgzJgxfD8LKysr3L9/nz9fb29vPHny\nBLNmzcKtW7dw7do1frI3sVgMU1NTcBwHjuO0uhpfoWHDhnxbMcdxyM3NRdOmTaGnpwcrKyvMmDED\nv/zyC7Zv346vvvoKRkZG/DBUxaRVMpkMIpFIK2uUijMwMICrqyssLS0hkUggkUhgYWGBFi1aAAAC\nAgJQs2ZNjBo1CuvXr0dwcDAsLS0BvK1FUjR7VITrQ3EuY8aMgbm5OaRSKezt7ZGSksIPTf/yyy8R\nExODadOmYcmSJdixY0eF6H9SGnrTZ8LLy4vfJhAIcOfOHZiZmcHS0hI+Pj7Iy8uDn58fAgIC8OTJ\nE3622YrwGSlNZb+3qJP2f8uUwtHREXp6enwnx9u3b8POzg6A/KY1a9YsTJ8+HaGhoTh58qTWt6Eq\nbqLA2y8JRac1IkJOTg5MTU1hZmYGAOjevTucnZ2xZMkSfPvttxg4cGCJeQ209cumtJWu9fX1+emp\nhUIhMjMzIRQK+eujZcuW2Lp1K8LDw2FqaopNmzYpTfoHaG8zD/D2+qAinX4VTZpisRgCgQDx8fFK\n57h582acOHECx48fx6pVq9CtWzelY2rr9QHIO4eamJgAkH8+FOdiYGAAQB6TmJgY6Onp8clIhw4d\n4ODggJ07dyImJganT5+uMNPiF/3+KEoxFT4ApKSkwMrKir9ubGxs8NNPP+HgwYOIjY3Fli1bSnxm\nKqLKdm/RGGqszflkMpnsvdWMimrpL774gk6ePKn03JMnT2jv3r0UHR2t0jKqkmIItcKtW7eUquIV\nz0dHR5OzszO//cGDB0Qkb9YoGr/ix9MmHMeVei2Udk7Dhw+n33//nYiIzp8/X2rzRfEmDm1U9LyK\nDqct7sGDB+Tk5ERE8iHbYWFhJfZ5V3y1zevXr2nWrFlERPTw4UP+s6CguF5OnTpFw4cPJyKiqKgo\nCgkJKddylpeif9PIyMgS170iHidOnKBRo0YREdFff/1FFy9eLL9CqkFlv7doGq38WZSYmIiUlBR+\nxIWi5zUApcnYFNXS9+/fR5s2bXD//n0EBQUBAD777DMMGjQITZo0Kd/ClwF603lR8ev42rVr+Pzz\nz7F7926lkQiK56Ojo9G2bVtcv34dnTp1wqFDh/hmHaFQCJlMptVDbBXDpYVCIe7evYt58+bhzp07\nAMBPfQ+8reKXyWQQi8Xw8/PD119/XWLdEcXIJm2nuP7Pnz+PwYMH49ChQwBQYsLChw8fwsXFBT//\n/DNat25dYl0axVTo2lyLojjnqlWr4tmzZ2jSpAl8fHz4ybmKi42NhUwmw5IlSzB06FBkZ2eXZ3HL\njVAoRExMDHr37o2goCB+RmIFxXdCSEgICgoKEBgYiJUrV1bYBfQq+71FY6k5Ufoo3bp1o82bN1NW\nVhaNGjWKfH19KSgoqNR97927R82aNaNJkyaRk5MTrV69upxLW7aK/+K5c+cOCQSC9062tWLFChII\nBNS1a9cS2b82K/qLJzc3l06cOEGurq40dOhQ8vf35zuAFv9lVL16dapXrx5t3LixXMurasVrj65f\nv05NmjShkSNHUvv27cnf35/vHMxxHL//smXLSCAQ0IgRI+jx48flXm5VKnqeRPJalCVLlpCFhcV7\nawX69OlD+vr6NHv2bMrKyiqPopaL4t8faWlpSp+V4hTx8/LyooYNG75zv4qiMt9bNJnWJCpSqZT/\nkB06dIg8PT1p+vTp9PXXX1NYWBg5OzvzN+uiN6YrV66QmZkZTZkyhbKzs9VS9rJQ9Jyys7Pp8OHD\nlJycTEREPj4+5OXlRUREeXl5JV67YsUK+uGHH955vIpgwoQJZG1tzc98eezYMXJzc6OEhAQievsF\nnZiYSFu2bFG6FirSyBWit9fAkiVLaMOGDUREdOHCBfr888/566Do3//AgQN06dIl/nFFGd1U9BzO\nnDlD7du3p5UrV5JUKqWVK1dSnz59iEg+Sk5BcZ0cPHiw1CYwbVU8iVWM1nn16hV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"text": [ "" ] } ], "prompt_number": 41 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Financial Stuff" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Moving Average" ] }, { "cell_type": "code", "collapsed": false, "input": [ "close_px = stoxx['Adj Close']\n", "mad = 10\n", "mavg = pd.ewma(close_px, mad)\n", "plt.figure(figsize=(16,4))\n", "mavg.plot();\n", "plt.ylabel('\\$')\n", "plt.title('Exponentially Weighted Moving Average (%i Days) %s' % (mad, sc));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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6duyIVq1awd3dHfPmzdPbvmzZMvA8r5v7DQBCQkLg6uoKNzc36mhPCCGlyM7O\nRnR0NNasWYMZM2YYOxwDmzdvRmRkJO7du4cTJ07A398fzs7OBvNokjd37do1bNy4EQkJCbh27Rrm\nzJmD48ePl9pftyrZt2+fbrCx8+fPY8iQIRCJRPD393/rsp2dnTFhwoQyDXpW2Wg0GqSnp2PBggVw\ndHR87cqrVqvFd99999LHrAkhpLKr0FGI5XI5IiMjYW5uDo1GAy8vL0RFRcHLywsPHjzAkSNHdEPE\nA0VD52/fvh3x8fFITU1Fz549kZCQ8NYd+QkhVdObjLBaXfj5+eHChQsICAjA8OHDjR2OgSdPnmDR\nokVITU2FnZ0dvLy8sGvXLkgkEmOHZjI4jsOqVaswffp0vdGiTeFHgoKCAnz99de4d+8eLCws0K5d\nO0RFRaF27drlUv6b9IeuDKKiotC9e3c0btxYr/9oWYlEIty4caMCIiOEkHfnnT1CXFBQAG9vb2zc\nuBHu7u4YPHgwvvzyS/j5+eHSpUuws7NDSEgIeJ7HnDlzABQNerFo0SKDee4IIYQQQgghhFQ/FT4P\nrCAIaNOmDe7cuYPg4GC4u7sjPDwcjo6OeP/99/X2ffjwoV5l1dHR0WDS6YiIiIoOmRBCCCGEEEKI\nEfXo0aPE9RVegeV5HjExMcjOzkbv3r1x4MABhISE6PVvfVkjcEmPELZp06ZCYq1sJk+ejN9++83Y\nYZByRDk1fZRj00c5Nn2U4+qB8lx9UK6rnsuXL5e6rcIrsMVsbGzQr18/XL58GUlJSWjZsiUAICUl\nBW3btsX58+fh4OCABw8e6I5JSUmpsiMEloeGDRsaOwRSziinpo9ybPoox6aPclw9UJ6rD8q1aanQ\n0ZEyMzPx7NkzAEBhYSGOHDmCTp06ISMjA0lJSUhKSoKjoyMuX76MunXrYsCAAdi2bRtUKhWSkpKQ\nmJiIDh06VGSIhBBCCCGEEEKqiAptgU1LS8PIkSMhCAIEQUBQUJDBs8zPPyLs7u4Of39/uLu7QywW\nY8WKFdV6FFJra2tjh0DKGeXU9FGOTR/l2PRRjqsHynP1Qbk2LRVagW3RosVLn18GgLt37+otz58/\nH/Pnz6/IsKqMFi1aGDsEUs4op6aPcmz6KMemj3JcPVCeqw/KtWl5Z9PolJeIiIhqM4gTIYQQQggh\nhFQ3ly9fLnUU4grtA0sIIYQQQgghhJQXqsBWYlFRUcYOgZQzyqnpoxybPsqx6aMcVw+U5+qDcm1a\nqAJLCCGtev1PAAAgAElEQVSEEEIIIaRKoD6whBBCCCGEEEIqDeoDSwghhBBCCCGkyqMKbCVGz+ub\nHsqp6aMcmz7KsemjHFcPlOfqg3JtWqgCSwghhBBCCCGkSqA+sIQQQgghhBBCKg3qA0sIIYQQQggh\npMqjCmwlRs/rmx7KqemjHJs+yrHpoxxXD5Tn6oNybVqoAksIIYQQQgghpEqgPrCEEEIIIYQQQioN\n6gNLCCGEEEIIIaTKowpsJUbP65seyqnpoxybPsqx6aMcVw+U5+qj2udaECC5vh+yqJWQXNsHUWos\nuPwnQNV6EFdHbOwACCGEEEIIIYSUP1FqLMz3zob4frTBNia1gFDDEYJtQ2hrNIDWoSXUzfqAWdY2\nQqRlR31gCSGEEEIIIcSEcPlPYHb4G0ijN4JjDIJlHag9+oHLSQP/9D5ETx+AU+YaHMc4Hmr3figY\n8D2Ytb0RIi/ysj6w1AJLCCGEEEIIIVUFY5DE7YH4wUUINRpCW7MRBDtnCLYNAYkckrhwmIfPAp+f\nBcaLoegyAYU9ZgNya71iuMJs8E/vg3/2APyTe5DcPgHx7eOQXt8HcVIUCvyWQf3+QCO9yNJRBbYS\ni4qKgpeXl7HDIOWIcmr6KMemj3Js+ijH1QPlufowqVxrVDDfNweyCxsNNjGOA7OsAz43AwCgbuyF\nggFLIdR1K7EoZmYDrVkLaOu3AAAovSaBy06Fxa7pkCQeg+XWMVBd34+CAUvBLOwq7jW9JqrAEkII\nIYQQQkglx+VnweKPUZAknQYTy6HsMhGcIgd81j3wT5KKWlJzM8Ak5ijsuxjKDqMB/vXG7GU2Dsgb\nvQPSCxtgfmAhpFf/gijjBnKmHAPEsgp6Za+H+sASQgghhBBCSCXGp9+A5aYAiJ7eh2Blj7wRm6F1\nfKFOpNWAz06BYG5n8LjwG50zKwmW6wdDlHUXhb7zoOj++VuXWVY0DywhhBBCCCGEVEGi+9GwCv0Q\noqf3oXFsg5wpEYaVVwAQiSHYOZdL5RUAhJqNUDDoZwCAPPJH8I9vl0u5b4sqsJVYtZ+zygRRTk0f\n5dj0UY5NH+W4eqA8Vx9VOdfipDOw+v0f4BU5UHl8hNwJ+8Cs672z82sae0HZNhCcRgmrNf1hFv45\nxLeOAmrFO4vhRdQHlhBCCCGEEEIqGT79Biw3BoBT5UHZ8hMUDF4BiN599a3ww8UQp1yCKOMm5Od+\nh/zc72ASc6hdvKFu1gdq937vdJCnCu0Dq1Ao4O3tDaVSCZVKBT8/P4SEhODLL7/E3r17wXEcatas\niQ0bNqBBgwYAgJCQEKxbtw4ikQjLly9Hr1699MqkPrCEEEIIIYQQU8blZsBqhS9Ez1KgauGH/KFr\nAV5kvIAEAaKHMZDcOAzJzUMQP7yq28Qk5lB6joay/UgItZoAHPfWp3tZH9gKH8SpoKAA5ubm0Gg0\n8PLywr///W+0bNkSVlZWAIBffvkFsbGxWLt2LeLj4zFs2DBER0cjNTUVPXv2REJCAvjnRs+iCiwh\nhBBCCCHEFHG5GZBFb4Ls/AbwOWnQNGyH3HHhgMTM2KHp4bIfQnLrCKRxeyG5HalbL1jVhca5EzSN\nOkPVrA9YDcc3Kt+ogziZm5sDAFQqFbRaLezs7HSVVwDIy8tDrVq1AADh4eEICAiARCKBs7MzXFxc\ncOHChYoOsdKqys/rk5JRTk0f5dj0UY5NH+W4eqA8Vx+VPteMQXTvPCy2jYfN9+/D7EhIUeW1Xgvk\nDd9c6SqvAMBs6kPVYSTyxu5CzpRjULb8BIJFLfC5GZDG7YH53tmwWdoSlhuGQBK7C1xhdrmdu8If\nohYEAW3atMGdO3cQHBwMd3d3AMCCBQsQFhYGMzMzXSX14cOH8PT01B3r6OiI1NRUgzInT56Mhg0b\nAgCsra3RokUL3eTExTcoLdNyZVyOi4urVPHQcvkvx8XFVap4aLn8l4tVlnhomZZpmT6vTW359KHd\nkF7/Gz000VC/PxBHLLoDvOiNy6vM37/ECRG4sGo2RFlJ8KkPMI7HEYkn1B790Ml/EsBxlSrekpZP\nJOUBjiPgNSQU/ONEnN0bBlFKDHpqoiG5dQSnI4+AcSJ4eXWB2q03InNqQbCuZ/B+zMnJAdQKpJ4/\ngFGLV6I072we2OzsbPTu3RtLliyBj4+Pbv2SJUtw69YtrF+/HlOnToWnpycCAwMBAOPGjUPfvn0x\naNAg3f70CDEhhBBCCCGmSXJ9Pyy2jgOnVenWqd/rgfzBK8EsaxkxsvInuf43LLaMBidoIFjUhLL9\nCCg7jn7jx24rGy4vE9KYHZDcOAjxvbPgBK1um7ZOU2icPaGt2wycMhd81j3wT5IgSrsOXpGNiMFH\nS32EWPyuXoCNjQ369euHixcv6lVghw0bhr59+wIAHBwc8ODBA922lJQUODg4vKsQCSGEEEIIIUYi\nvn1CV3lVNR8AtVtvmB1cCElCBGyWNIfaox+U7YOgadwV4Kv2bKDim4dhsXUMOEEDxQeTUei7AJDI\njR1WuWKWtaD0CobSKxhcwVNIEo5CcuMQJLeOQvToFkSPbpV4nNrZs8T1xSo085mZmXj27BkAoLCw\nEEeOHEHr1q1x+/Zt3T7h4eFo3bo1AGDAgAHYtm0bVCoVkpKSkJiYiA4dOlRkiJXai4+rkaqPcmr6\nKMemj3Js+ijH1QPluXIRPbgEy7Dh4LQqKDpPQP6w9VC1DUDu5Aio3HoBggbSq7th9fsgWP+7DeTH\nfgCXbdjVsCSVLdfSmB3/e61qKLoEo/DDr02u8voiZm4LVavByA/4Hc++SETu+H0o6PcNlO1HQNF1\nKvIHLkPumF3I/vwy8ib8/dKyKrQFNi0tDSNHjoQgCBAEAUFBQejRowc++eQT3Lp1CyKRCE2aNMHK\nlUXPOLu7u8Pf3x/u7u4Qi8VYsWIFuHIYhpkQQgghhBBSOfEZN2G5wR+cKh/K1v4o7PedbioWwbYh\n8kduA/csFbLLWyCN3gzR0/swOxIC+dHvoew0HoV9vqoyFUDZmdUw3zcXAKDoOhWFfRaVy7QzVYpY\nCk3jLtA07vJGh7+zPrDlhfrAEkIIIYQQUvVxhdmQxu6E/Ngy8LnpUDXrg/zAjYBIUvpBggDxnROQ\nRYdBcn0/OEEDTb3myA/cAKFm43cX/BuQXtgEi92fAgAK+v4Lyg8mGzmiyutl0+i8sz6whBBCCCGE\nkGqOMYiTzkB6cTOkceHgNAoAgLpRF+QH/P7yyisA8Dw0rt2gce0GUcplWGwdD3HaNVit+hB5Y/6C\ntp7HO3gRr08SsxPme2YAAAr6L4Gy8wQjR1R1Ve3ezyausj2vT94e5dT0UY5NH+XY9FGOqwfK8zsm\nCJBFrYT1jx1gtaY/ZFe2g9MooG7ijbyha5E3Ztdrz3eqdWyDnKmRULt0A5/3GJarP4L47mmD/Yyd\na0n8AVjsCAbHGAp7f0mV17dELbCEEEIIIYSQCiU//iPMjnwHABCs60PZdhhU7YZBsHN+y4KtkTdy\nCyy2jYf0+n5YrvWDoudcKHxmALzo7QN/G+pCSGN2wjz8c3CCFoU+nxXFRd4K9YElhBBCCCGEVBhx\n0hlYrhkAjgnIH7wCqpafAKJybkfTaiA/ugTyEz+BYwzqJt7IH7IKzKpu+Z6nDERp1yCNDoP0yp/g\nFdkAAEXniSj86LvqN2DTG6I+sIQQQgghhJB3jsvNgMW28eCYgEKfGVC1GVoxJxKJoej9BTSNO8Ni\n+z8huXMC1su7orDXF1C1GlzxoxSrCyG9vB2y6DCIU6/oVmsc20DZcRRUbYZR5bWcUB/YSszYz+uT\n8kc5NX2UY9NHOTZ9lOPqgfL8DqgKYLkpEHxOGtTOnlD0nFfhp9S4dkfOtJNQN/4AfN5jWPw1HVem\nukMe+SO4gqcVc1JlHqzW+sFiz2cQp16BILeBotN45Ew7idzJR6FqNxzgqdpVXqgFlhBCCCGEEFK+\nBAEWfwZDnHIZWtuG/5se591UPZi1PfLG/gXp1b8gO/kL+IfXYHb4G8iP/wRlu+FQdvknBDun8jmZ\nRgnLzSMhvn8R2hqOUPT6Aqrm/V97QCpSdtQHlhBCCCGEEFKuZCeWw/zQIghya+QG/xdCnabGCYQx\niO+cgPzkr5AkHitaxYtQMHhF0aPFb0OZB8utYyG5dQSCZW3kTjwAoVaTcgiavKwPLLVlE0IIIYQQ\nQsqN6P5FmB3+BgCQP2S18SqvAMBx0Lj4IG/MTuRMOwVly0/ACVqY//Up+Iybb15s7iNYrRlQVHk1\nt0Xe6B1UeX1HqAJbiVHfDNNDOTV9lGPTRzk2fZTj6oHyXDG43EdFgzYJGii6BEPj1svYIelyra3n\ngYKhq6FsMxScuhCWW0YDqvzXLo/Lz4LVWj+IU2OgtXVC7j8PQVv//fIOm5SCKrCEEEIIIYSQt8Y9\nS4XV6n4QPU2Gpn5LFPZZaOyQSlTg9wO0dZpC9OgWLHZMBgSh7AcrcmC57hOIHt2Ctk7Toseja7tW\nXLDEAPWBJYQQQgghhLwZQYAo5RKk1/cXzXuamwFNvebIG7MLzLK2saMrFZ9xE1ar+oBX5EDhNQmF\n/b555TGitOuw2DoGoseJ0No1Qu7Ev8Gs7d9BtNUPzQNLCCGEEEIIKR9aDcT3zkBybT+k8X+Dz0nT\nbdI4dUDeyG1gZjWMGOCrCXXdkD88DJbrP4E8agXEd05C49oNELTgFDng1IWAWgFOo/jff5UQpcWB\n0yihreuGvJHbqfJqJFSBrcSioqLg5eVl7DBIOaKcmj7KsemjHJs+ynH1QHl+M3z6DVhuHArRswe6\ndYKNA1TN+0Pt8RE0Th0BXmTECA2VlmtNkw+Q778KFn99CnHaNYjTrr2yLGX7IBR8FAJIzSsiVFIG\nVIElhBBCCCGEvJLofjQsNwwBX/gMWjtnqN7/GGqPj6B1aAVwnLHDeyPq9z/GM/e+EN+Ngjg5Gkxm\nAWZWA0xiBohlz/1XDmZRC0LNRsYOudqjPrCEEEIIIYSQl5Je2grz8Fng1IVQNfsQ+QG/AxK5scMi\nJor6wBJCCCGEEEJen1YD8/BZkEVvAvC/R2j9lgEiqkYQ46BpdCoxmp/M9FBOTR/l2PRRjk0f5bh6\noDyXAWMw3/MZZNGbwMRy5P/jFxQM+k+Vq7xSrk1L1br7CCGEEEIIIe+E2X+/huziZjCJGXLH7ILW\n2dPYIRFCfWAJIYQQQoiJ06ohvncOfE4auPxMcHmZ4PMzweVngVMroGo9GKpWgyvd6LnGJDv5C8wP\nfgXGi5EX9Ac0br7GDolUI9QHlhBCCCGEVD9qBaSXt0J+4j8QPb1f6m6S25GQnfoVBf/4BVrH1u8w\nwEpIVQBZdBjMD34FACgY/BtVXkmlQn1gKzF6Xt/0UE5NH+XY9FGOTR/luOrj8p9Aduo32PzQBhZ7\nZkL09D60NRtD1fIfUHSeiMJeC3CoyWTkDd+E/EH/gbaGI8Tp8bBa9SGk0WHGDv/dErQQpVyG/PhP\nsFzjhxpfN4b5/nkAgIL+S4papqs4ek+bFmqBJYQQQgghVZNWDf5ZCvgn98A/vQ/+STLE6dchTowE\nJ2gAAJp6zaHw+Qzq5v31HhFWS6Kg9vACAKhaDYbZgYWQn1sLi7+mg8/NgKL7LKO8pHdGq4bZgYWQ\nxvwJvuCpbjXjOGgcWkPZcRRU7YOMGCAhJaM+sIQQQgghpHLTaiDKiIfowSWIU66Az0oC/zQZfPZD\ncEww2J1xPDQuPlB0ngBNU1+A48p0GumlLTDfNRUcY8gfvAKqNkPL+5VUDlo1LLZNgPRaeNGibUNo\nXHygdvWBpnFXMAs7IwdIqjvqA0sIIYQQQqoOxsBn3ITk1mFIbh2FOOUyOHWh4W4cB8HGAVo7Jwi2\nThDsnCDYOUPt4g1mVfe1T6tqOwycKh/me+fAfNc0gOOhau1fHq+ocmAM4rtRkB//GZLbkRDk1sgb\nuQ1ap45lruQTYmwVWoFVKBTw9vaGUqmESqWCn58fQkJC8Pnnn2P//v2QSqVo0qQJ1q9fDxsbGwBA\nSEgI1q1bB5FIhOXLl6NXr14VGWKlFhUVBS8vL2OHQcoR5dT0UY5NH+XY9FGOjUCjhCglBuLk8xAn\nn4M4+QL4gid6u2jtGkHToC20DdpAW+c9CHbOEGwcAbH0jU5ZWp6VncaDf/oA8lO/wuLPf0J86yhU\nbYZAW68FmFWdNzqXsXH5WZBe/AOyi2EQZd4BgKLK65hd0DZoa+ToKh69p01LhVZg5XI5IiMjYW5u\nDo1GAy8vL0RFRaFXr174/vvvwfM85s6di5CQECxZsgTx8fHYvn074uPjkZqaip49eyIhIQE8T2NN\nEUIIIYSYDEEL8e3jkNyNgij5PMQpV8BplPq7WNlD7doNarde0DT2ArOo+c7CK/xwMbS1XWG+bx5k\nsTshi91ZFJNlHWjrNYe2ngc0jm2gdu8HiCr3A41cTjqsf+sBPicNACBY14ey3XAoO4wAs6lv5OgI\neX0V/o4zNzcHAKhUKmi1WtjZ2cHd3V23vWPHjti1axcAIDw8HAEBAZBIJHB2doaLiwsuXLgAT8/q\nOWky/VJkeiinpo9ybPoox6aPclxxuNwMyC5uhvTCRoiepeht09ZtBo1TR2icPaFx6gjBtmGFPtb6\n0jxzHFTtg6Bx9oTs3O8QPbwKcdp18HmPwCcegyTxGABA3bQn8oauBeTWFRbnW9GqYbllNPicNGjq\nt4Si51yo3+tR6Svd5Y3e06alwu9eQRDQpk0b3LlzB8HBwXqVVwBYt24dAgICAAAPHz7Uq6w6Ojoi\nNTXVoMzJkyejYcOGAABra2u0aNFCd2MWD5NNy7RMy7RMy7RMy7RMy8Zb5vKz0M0uB5LEYzh5/T4g\naNGDjwcnaHD8ISBY10OnfkOgcfbEiVQtmMzqhfIeVIrXU9h/SdGyO0NXjwYQpV3D6SMHIIn/G91v\nHYX1qg9x0H02mHnNShGv7vrnZcI3578QJ5/HsWd2KOg2E12a9a408dEyLT+/HBcXh5ycHADA/fv3\nMXbsWJTmnY1CnJ2djd69e2PJkiXw8fEBAHz77be4fPmyrgV26tSp8PT0RGBgIABg3Lhx6Nu3LwYN\nGqQrpzqNQhwVRc/rmxrKqemjHJs+yrHpoxy/AVU+xKmxRaME/++PzzZshGAcD3WzD6H0HA1NEx/A\niN3E3jbPfFYSLDcGQPQ4AdpaLsidsO+NBo4qV4IA8e1IyM6vh+TGIXBMAOPFyJ2wH1qnDsaNzYjo\nPV31VIpRiG1sbNCvXz9cvHgRPj4+2LBhAw4cOICIiAjdPg4ODnjw4IFuOSUlBQ4ODu8qREIIIYQQ\n8hrESWchP/wNxPcvgBO0etuYzArqRp2hdusFwbYhOK0GmvrNwWxM47udULMRcicegOXvAyFOuwar\ntQORO+Fvo0xBw+VlQnrpD8jOb4DoaTIAgIkkUHn4QeE1qVoM1ESqjwptgc3MzIRYLEaNGjVQWFiI\n3r1746uvvoJarcbMmTNx4sQJ1KpVS7d/fHw8hg0bhgsXLugGcbp9+za45/o/VKcWWEIIIYSQyojL\ny4T53tmQxu0BADBeBG1dd2gbtIXmf39C7feM2sL6rnB5mbBa6wdRxg2omvVBftAf72xKGu5ZKuSn\nfoUsepNumiGtbUMoO4yCqu2wKjtqMiFGa4FNS0vDyJEjIQgCBEFAUFAQevToAVdXV6hUKvj6+gIA\nOnXqhBUrVsDd3R3+/v5wd3eHWCzGihUr9CqvhBBCCCHEuMQJEbDYOQV8bgaYxAyKrtOg8AquvAMZ\nVTBmWQt5I7fBanlXSG8cgubMaii7TKzQc/JZdyE//jOkV7aD06oBACq3XlB6joPGtRvAiyr0/IQY\n0zvrA1teqlMLLD2vb3oop6aPcmz6KMemj3JcCkGAPGIpzI4tBQCoG3VGweCVEGwbGDmwN1PeeZZc\n2wvLP0aBiaTInXQE2votyq3sYvzj2zA7ugSSuD1F/Vs5HuoWA6HwmQFtPY9yP5+poPd01VMp+sAS\nQgghhJCqiXuWAou/PoUk8RgYx0PRcy4UPjOope856uYDoOwwCrILG2CxbRxyphwDpBblVr4o5TIs\nfx8EXpEDxouhbDsMCu/pEGo1KbdzEFIVUAssIYQQQggxJAgQZcRDcuMg5CeWg1PlQzC3Q/7QNUWP\nqRJD6kJY/9YDooybULYJQMGgnwGR5O3KFLQQ3z4Oi61jwStyoGr2IQoGfA9Ww7F8YiakEqIWWEII\nIYQQ8kr80wcQ3z4Oye0TEN85CT4/U7dN1XwACvqHgFnXM2KElZzEDHlDf4f1bz0gu7wV0qt/QVuv\nBTQN2kDr0Boax9YQarm8enArjQriu6cgvbYPkhsHwec9BgComvshf+jqt68UE1KFUQW2EqPn9U0P\n5dT0UY5NH+XY9FXHHPOPbsFi11SI71/UWy9Y14fa1Qeq9z+G5r2SW0OqqorKs2DfDPlDV8Ps0NcQ\nZd6G+MFFiB/8/3UVrOyRN2wdtM6eBseKki9AdnYtpDf/C06Zq1uvtXOGqpU/FN1nUuX1DVTH97Qp\nowosIYQQQkh1xRikFzbC/O8F4NSFRXO3NukKjYs31C7eRa2FNCPEa1N7fAS1x0fgCrMhSr0CccoV\niB5chvjBJfC56bBa9w/kDdsAjVvRjBxQ5cPs8LeQnQkF97/efRp7d6g9+kPt0Q9aew/KAyH/Q31g\nCSGEEEKqI60a5nvnQHZhAwAU9dnsH1Jtp8N5JwQtzPd8Bll0WNEIws36QFvHDbLoTeDzM8F4EZQf\nTIGyfRCEmo2NHS0hRkN9YAkhhBBCiA5X8BQWW0ZDcuckmFiGgkH/gaq1v7HDMn28CAUf/wzBqh7k\nJ36CNP4AEH8AAKBxaI2Cj5dB69DKyEESUrm9ogc5MaaoqChjh0DKGeXU9FGOTR/l2PSZeo75Rwmw\nWuELyZ2TEKzqInf8vmpZeTVanjkOCt+5yJ5zFYW+86BsNxy54/cid/JRqrxWEFN/T1c31AJLCCGE\nEFJNiBOPwWLLGPCKHGjqtUDeiC1gNRyMHVa1xKzqQtH9c2OHQUiVQ31gCSGEEEJMmSof4geXIUk8\nBtmpX8EJWqg8+iPffwUgtTB2dIQQYoD6wBJCCCGEVBNcYTbEiZEQJ5+HOPk8RGlx4AStbntht5lQ\n9Jz36rlICSGkEqJPrkqMntc3PZRT00c5Nn2UY9NXlXMsSrkC6588Ybl1DORnQiFOjQEYg6Z+Syg6\njUfu2N1Q9FpAlVdU7TyT10O5Ni3UAksIIYQQYgIk8QdhsW0cOHUhNPVbQu3RF5qGHaBp0BaQWRo7\nPEIIKRfUB5YQQgghpIqTxO2Bxbbx4AQtlG2HoWDgj4BYauywCCHkjVAfWEIIIYQQEyWJ/QsWf04E\nJ2hR6DMDil5fABxn7LAIIaRCUAeISoye1zc9lFPTRzk2fZRj01dlcswYZCd/geW2cUWV126zqPL6\nGqpMnslbo1ybFmqBJYQQQgipgsz+XgD56VUAgII+X0HZdRpVXgkhJo/6wBJCCCGEVDHS6DBY/DUd\nTCxDvv8qqFv4GTskQggpNy/rA0uPEBNCCCGEVCGi+9Ew3zsbAFAwcBlVXgkh1QpVYCsxel7f9FBO\nTR/l2PRRjk1fpcyxWgFJ7F+wXPsxrFf2BqdRQtlxNFRthxk7siqrUuaZVAjKtWmhPrCEEEIIIZWU\nKO06pBfDIL3yJ/jCZwAAJpZD1dofBR99Z+ToCCHk3aM+sIQQQgghlY2ghfnOyZBd+VO3SlO/JVTt\nh0PV8hMwMxsjBkcIIRWL5oElhBBCCKkqGIP53tmQXfkTTGoBZZsAqNoPh7b++8aOjBBCjI76wFZi\n9Ly+6aGcmj7KsemjHJs+o+ZY0MLs4FeQnV8PJpYhb9R2FPotpcprBaD3cvVBuTYt1AJLCCGEEFIJ\ncAVPYbFtPCSJx8A4HvlD10LTqLOxwyKEkEqlQltgFQoFOnbsiFatWsHd3R3z5s0DAOzYsQMeHh4Q\niUS4fPmy3jEhISFwdXWFm5sbDh8+XJHhVXpeXl7GDoGUM8qp6aMcmz7KsekzRo5FqTGw+rUbJInH\nIJjbIW/MLqg9+r3zOKoTei9XH5Rr0/LSFtj8/HxwHAdzc3MAgEajQWhoKOLi4tC8eXNMnDgREomk\n1OPlcjkiIyNhbm4OjUYDLy8vREVFoUWLFti9ezcmTpyot398fDy2b9+O+Ph4pKamomfPnkhISADP\n05POhBBCCHkHtBpIbhyEJP5v8PlZgLoQgnV9CLYNwcztwMysweTWYHKbov+a2YDJiv4LUenfiUrF\nGKTRm2C+dw44rQoah9bID9wAwbZB+b82QggxAS+twPbp0wczZ87EwIEDAQCzZs3Czp07ERgYiC1b\ntuDSpUtYv379S09QXPlVqVTQarWws7ODm5tbifuGh4cjICAAEokEzs7OcHFxwYULF+Dp6fkmr63K\ni4qKol+MTAzl1PRRjk0f5bhq4/KzILm2F5KECHCqAkCrBidoAEEDaDXgc9Nx8lYGfOq/XrlMLIOy\nXRAU3T4Ds7Z/9QGCAC43HWaHv4Xs8lYAgLLj6KKpccSyN3hl5HXRe7n6oFybllIrsMnJybh+/Trc\n3NyQnJwMrVaLdevWYfny5ejWrRtGjBiBHj164P79+2jYsGGpJxAEAW3atMGdO3cQHBwMd3f3Uvd9\n+PChXmXV0dERqampBvtNnjxZd05ra2u0aNFCd1MWd9KmZVqujMtxcXGVKh5aLv/luLi4ShUPLZf/\ncrHKEg8tl2359NEDkF7eBt+c/4LTqnH8IQBAV1F9flmwccChBn0g1HDABx1ag89ORdTp0+CU+fBu\nZAmuMBsnr98Hp8qHTz0BnCIbJ28/Be6vhfelP1DY92tEqN8DOA5enTtDlHIZZ/ZvAZ+TgW51VeCf\n3sfJa8ngtCr41AeYxAz/bfRPqGt1g9f/Kq/Gvl7VYZk+r6vPMn3/qvzLcXFxyMnJAQDcv38fY8eO\nRSM2uVgAACAASURBVGlKnQd20aJF+Pe//42ZM2eC53kkJiYiPDwcs2bN0u3z888/Y8aMGVi4cGGp\nJyiWnZ2N3r17Y8mSJfDx8QEAdOvWDcuWLdPN6zp16lR4enoiMDAQADBu3Dj07dsXgwYN0pVD88AS\nQgghpMzUCsjOhMIs8kdwylwwjoPGtTtULQZCsKkP8GIwkQTgRYBIAiaWQ6j9HvCa3Zf49BswOxoC\n6fX9Radt0hVMag5x6lXwOQ9LPEYwt4PW3gMF/UMg2Jf+Az8hhFQ3bzQP7KJFixAREQGe5zFo0CDM\nnz8fffv2xVdffQUAyMvLw7p168pUeQUAGxsb9OvXDxcvXtRVYF/k4OCABw8e6JZTUlLg4OBQpvIJ\nIYQQQp4nvnkE5uEzIXqWAgBQu3ZH4YeLoa3nUe7nEuybIX/4Jqiu7oHFX9MhuXPy/7fZ1IfarTe0\ntV0h2DpBa+dU1MdVZlXucRBCiKl76c+LK1euxN9//w1PT09kZ2fj3//+t27b8uXLS60VF8vMzMSz\nZ88AAIWFhThy5Ahat26tt8/zDcADBgzAtm3boFKpkJSUhMTERHTo0OG1X5SpePFxNVL1UU5NH+XY\n9FGOKzeu8BnECREw3zEJVhuHQPQsBRp7d+SO2Ym8MTvLVHl9mxyr3x+I7E9PI3/gMuQFbkDOtFPI\nnhOHgoHLoOzyT6jdPyxqbaXKq9HRe7n6oFybllJbYAGgefPmuHDhQonb5s+f/8rC09LSMPL/2Lvv\n6KjK7eHj3zMtkw6hhN6khl6kCEhHUQQEBOkooiDKT73YsOsr4EUvigqKitcLKE2KCAJRQgmCNJES\nSOgJCaGFkD7tPO8fY0awIGCSmUz2Z60sOFPO7MmeMzn7PG3UKHRdR9d1RowYQbdu3Vi+fDkTJ07k\nwoUL3H333TRv3pzvvvuOqKgoBg0aRFRUFCaTiVmzZqFp2s29MyGEEEL4PeOZg5hObMV4eg+mpN0Y\nLxzz3KdMAeT2eAFbh/HuLsJFRJWqgr3NA0X2ekIIUZL85RhYXyVjYIUQQggBYN3wNoHRU666TZkC\ncFVqgrNqK2ytR6GXr+ul6IQQQtysmxoDK4QQQgjhk5TCGj2FwJh3UJoBe/NBOKvdiqtKC1wVom5u\nPVYhhBDFwo1NsSeKlPTX9z+SU/8nOfZ/kmPvC4id5S5eDUay7/+EnPtmYW/zAK7KTQukeJUclwyS\n55JDcu1fpIAVQgghRLFhOhxN4HfuFRCyB32Mo8m9Xo5ICCFEUZIxsEIIIYQoFowp+wmd0xvNlklu\n9+fI6/aMt0MSQghRCK41BlZaYIUQQgjh8wxnDxMytz+aLRN7437kdX3a2yEJIYTwAilgfZj01/c/\nklP/Jzn2f5LjomdIPUTop/0wZF/EUa872YNmQyEusyc5LhkkzyWH5Nq/yCzEQgghhPBZxpM/EfLF\n/RjyLuO4pRNZw74AU4C3wxJCCOElMgZWCCGEED7HmLyXgG2fYdm7BM1lxx51N9n3zwFzoLdDE0II\nUchkHVghhBBC+D5HHpZ9ywn4aS6mpN2em/PajiG391QwymmLEEKUdDIG1odJf33/Izn1f5Jj/yc5\nLgQuB9b1bxI+rRHBSydgStqNbg0nr8OjXJ60i9y+04u0eJUclwyS55JDcu1f5FKmEEIIIbxH1wle\n8iiWX74GwFmpCba2Y7A3HQCWIC8HJ4QQwtfIGFghhBBCeIdSBH7zDNbtn6EsIWSN+B/OWzoV6gzD\nQgghfJ+MgRVCCCGEz7FGT3UXr6YAskYuwHlLR2+HJIQQwsfJGFgfJv31/Y/k1P9Jjv2f5LhgBGyZ\nRWDM2yiDkewhn/lU8So5LhkkzyWH5Nq/SAusEEJcL5cTa8w7BPw0Fz2sEq6qLdCDIlDWcByN+6CX\nrubtCIUoFiy7FhC05kUAcvrPxBF1l5cjEkIIUVzIGFghRImnZV3AkJ6IlnXRfYPBgGbPQbNno9mz\nwZaNZs/BfDQGU+LOP92H0gw4Gt6Do+FdOGp1QIVVLMJ3IETxYT74LcELRqMpnZzeU7C1H+ftkIQQ\nQvgYGQMrhBB/wbJnIUFfT0TTndf1eD2sItkDZoLRgvHMATR7FsZzCZj3r8RywP0D4CpbG2etDjhu\n6YizZntUaPnCfBtCXB/dhZZ7GS3nIlrOJVRYRfTSVYvs5U1HNxH81UNoSie36zNSvAohhLhhUsD6\nsNjYWDp06ODtMEQBkpz6FuOpnQQtewJNd+Ks2AgVUh4MBtB1lDkQFRCCsgRDQDDKEowKKo29SX9U\ncBmAq8bsab1ew7J3KT9Gr6KbMR7jhaMYLxwlYMd/UZqGvflg8ro/X6TFgigc3jqODZcSMSVswJCR\niiEzFS3zLIZff3DZ0cOr4Iqsj71Jf1zVW6NlnMGUuBNz/PcYzx5Cy0lDy72EdkXHK2UwYms/ntzu\nzxX6kjXGpN2EzBuO5rKT124sed2fLdTX+yfku7pkkDyXHJJr/yIFrBCiRNIupxCyYKTnZDq3z1v/\naH8qvBK2ThPJNbYgvV0bjMl7MR+PxXQsFtOJWAL2LMSybznZQz/H0eDOAnoXokSwZ2Pd+B7WzTPR\nXPa/fJgh+yKmlF8I+HnRNXenW8NRwWVQ1jCMKb9g3fIB5oOryR76Ga7Kzf55vEqhXU7GmHoI49k4\njGcPYUyNw3guHs3lwNbsPnJ7T5WlcoQQQtwUGQMrhCh5HHmEzumN6fQeHLU6kPXg12A0F9rLGdJO\nErj2dSz7V6AswWQ+sgZXpcaF9nrCT9gysW77lIDY2RiyLwBgb9gbV2QD9NBIVGgkemgkelgFMBgx\npJ/GfGwLlr1LMKSdQi9VBVe5OjjqdcdZvQ0qpBwqsDQYf7t2bUzaTdCyJzClHkQZLeR1ewZby6Go\nsAo3Hq9SmONWE7j6RYyXEv/8LTUdSM59Hxbq8SaEEKL4u9YYWClghRAli1IELZ1AwJ6FuEpVJfOx\nDZ4uwYX+ukseJeDnRehhlch47AdUaGThv64olrTcdEI+6YPpzAEAnFVbknP3m7iqt76+HSh1/S2c\njjwC17yEdftn7qdqGo76d5Jz73+u7zOq65iObcK65UPMRza4bwqKwFWhIa4KUbgiG+Cq0ABXZH0I\nCL2+mIQQQpRoMolTMSX99f2P5NSLHHlY9i7BunU2xrOHUeYgskcuKPDi9S9zrGnk9H8Xw6VTmE9u\nJ+ib58ge9nmBvrYoGoV+HNuyCPnvIExnDuAqews5fafjvKXTjXW5vZHHmq3k9p2Oo15PAnb8F3PC\nD1gOfYcpaRd5HSagOfPQ8i67J3/KvYyWm+7pyqzZstxjcXPSAFABoeTe8RK2Ng+AwXgj79qnyHd1\nySB5Ljkk1/5FClghhF/TMs8R8NPnBGz/zNMNUw+tQHb/d3FVbFS0wZgCyB48h/AZ7bAcWIn90Doc\nDe4o2hiEb3PkETJvBKbEXe4eAg+tQIVXLpKXdtbvgbN+D7SMMwQvGof5+BaC1r56Xc/VwyphazMa\nW+tRqJByhRuoEEKIEk26EAsh/JMti6DVL2LZs9DTWuSs1ARb+/HYm9wLJovXQguInUXQ6hdxlapC\nxv/FgjXMa7EIH+JyEvzlA1jiVqOHlCfzkdXoZW/xTiy6C8uOLzCePYQKLOX+sYb9+v9wlMnq7qYc\nEIweXAYVEumewVsIIYQoAF7rQpyXl0enTp2w2WzY7Xb69u3L1KlTSUtLY/DgwZw6dYoaNWqwePFi\nSpUqBcDUqVOZO3cuRqORmTNn0rNnz8IMUQjhj5QieOnjWA6sdC9h06AXtg7jcdZs7xMzn9raPYzl\n58WYUvYR+mk/skZ9JeNhSyqnHdPJbZjjozEfXo/xwlH0wFJkjlnmveIVwGDE3vZB772+EEII8RcK\n9XKp1WolJiaGvXv3sm/fPmJiYoiNjWXatGn06NGDhIQEunXrxrRp0wCIi4tj0aJFxMXFsXbtWh59\n9FF0XS/MEH1abGyst0MQBUxyWjQCYme7i9eAUDIf20j2yAU4a3UokuL1unJsNJE99HNcETUxJe8l\ndFYPrBumY0zaDbqr0GMU/8w/Po5tmVh2/I/geSMo9UZtQj+7F2vsLHfxGlKOrNGL0CtEFUyw4qbI\nd3XJIHkuOSTX/qXQx8AGBbkXRrfb7bhcLkqXLs0333zDpk2bABg1ahSdO3dm2rRprFy5kiFDhmA2\nm6lRowa1a9dmx44dtG3btrDDFEL4CdPxrQSufQWA7Ps+9NnlavQyNckcv5aQ/w3FlLSbwOipBEZP\nRQ8qjfOWTjjqdsVRt/vNLWcifJZ2OYXQuQMwnov33OasEIWzXg8c9XrgrHarLDEjhBBCXEOhF7C6\nrtOiRQuOHTvG+PHjadiwIWfPniUy0t1dLjIykrNnzwKQkpJyVbFapUoVkpOT/7DPCRMmUK1aNQDC\nwsJo3LixZ2ax/Css/rDdoUMHn4pHtv/5dv5tvhKPv21vXbeSoOVP0LW0i7xO/0fMpVLghd93vr97\n/Ja98dDwBbp0ysJ8JIat36/BkHKWzjkrsOxfQcxZM7k9X6Dd/RN94vcr2/9s+8dvFxL43St0DTuP\nq1xdosN64KzSkvZ39vvt8ck/+Uy8JXlb/v6WnO18vhKPbBfOdv5tvhKPbP9xe//+/WRkZACQmJjI\nmDFj+CtFNonT5cuXueOOO5g6dSr9+/fn0qVLnvsiIiJIS0vj8ccfp23btgwbNgyAhx56iLvuuov+\n/ft7HiuTOAkh/pTLQegn92A6tQPHLbeT9cBSMJq8HdWNUQrDxeOYj8RgPrga87FN6EGlyXxsI3rp\nqt6OTtwspbDs/pKgVc+h2bNxVm1F1qiFqOAIb0cmhBBC+KRrTeJUZFMGhoeHc/fdd7N7924iIyNJ\nTU0F4MyZM5QvXx6AypUrk5SU5HnO6dOnqVy5aJYP8EW/vzooij/JaeGxfv8WplM70MMrkX3/J14r\nXv9RjjUNvewt2No9RNaDX+Oo1wNDziWCF4wGR16BxSj+mRvJseHsYUK+GEzw14+j2bOxN7mXzDHL\npHj1cfJdXTJInksOybV/KdQC9sKFC6SnpwOQm5tLdHQ0zZs3p0+fPnzxxRcAfPHFF/Tr5+4+1adP\nHxYuXIjdbufEiRMcOXKE1q1bF2aIQgg/YDz5E9ZN76I0A1n3f+of61AaDGQP+ghX6WqYkn8m6Nvn\nvR2RuBEuB9Z1/4+wmR0xx3+PCggle+CHZN//KQSEeDs6IYQQotgq1C7E+/fvZ9SoUei6jq7rjBgx\ngqeffpq0tDQGDRpEYmLiH5bRmTJlCnPnzsVkMvHee+9xxx13XLVP6UIshLhKXgZhMzthvHSK3M5P\nknfHS96OqEAZk38h9KM70Zw2sgd+gL3lUG+HJK5F1zEm7SJozUuYEneiNAO21qPJ6/6sf1xYEUII\nIYrAtboQF9kY2IIiBawQwsPlIOS/92M+GoOzUhMyx68Hk8XbURU4y675BH89EWWykjl+nc/OrFxi\nKYUx+Wcs+5Zj2bcCw2X35IN6eCWyB3+Cs2Y7LwcohBBCFC8+MQZW3Djpr+9/JKcFyJ5D0Ip/YT4a\ngx5cluxhX/hE8VoYOba3Go6t1XA0Zx7BC0ah5aYX+GuI65efYy37ItZ1bxD2dkvCPuyOdcuHGC4n\no4dXJq/jY2Q8vlmK12JKvqtLBslzySG59i/FbIpOIUSJprswHd+C5eclWA6sQrNnoUxWskYuQI+o\n7u3oClVOn39jTNmPKeUXghaPJ3vEAjDINUhv0TLPEfppX896rnpoBeyN+2Jvci+uqq0kN0IIIUQh\nkS7EQgifZzh7mIDdC7Ds/RpDZqrndmfVluT2mIyzThcvRld0DGmnCP2gC4bcdGytR5HT7z+gad4O\nq8TRMs8S+mk/jOficUXWJ6fPdJw12oLB6O3QhBBCCL9wrS7E0gIrhPBppsPRhMwbiqa7AHBF1MDe\nbBD2ZgPRy9X2cnRFS4+oTvawLwj572ACdnwBSmFrNxZX+XrFb83bYurq4rUBmQ+tkMmZhBBCiCIk\nfZx8mPTX9z+S0xtjOH+E4EVj0XQX9qYDyBi3joxJu8nr8ZzPFq+FnWPnLR3JGjEPZbQQsPN/hM3s\nSKnXqhP60Z0Ernoey55FGC4lFmoMJZXhXAKhn/Zjy9784nWlFK9+Sr6rSwbJc8khufYvcsleCOGb\n8jIImTccQ14G9ob3kD3oYxlX+Ctn3W5kjVlGwLZPMJ7ei/HSKUyndmA6tQPAvXRLu7Hk9ngerGFe\njraYUwrTye0EbHkfy6G1AOilq/1avJb1cnBCCCFEySNjYIUQvkd3ETxvGJbD63FFNiBj/DoICPF2\nVD5Ly07DmLIX0+m9GJN2Y45fj6a70EMrkNN7Co7GfWWs7PVQCi3zLMYLxzBcOIbxwhFMJ7ZhOr3H\nfbcpAHuL+8nt+SIquIyXgxVCCCH8l4yBFUIUK9boqVgOr0cPKk3WyAVSvP4NFRyBs05XnHW6AmBM\n2U/Qin9hStpFyFcPYt97J9lD/+sTywz5HEcelj0LCdj9JcZz8Wi2zD88RA8qja3tQ9jaPSRdhoUQ\nQggvk/54Pkz66/sfyenfMx/8lsCN/0EZjGQPmYseUcPbId0QX8ixq1JjMsetJfveGejWcCyH1hKw\na563w/ItSmHZs5Dw6c0JXvEUpqRdaLZM9MBSOKu1wvZrS2vWsC+4/Ow+8no87ylefSHHonBJjksG\nyXPJIbn2L9ICK4TwGYYLxwheMgGA3DtfxVm7k5cjKsYMBuytR6GCIghZMArrhrextRgCliBvR+Z1\nWuZZghePx3x0IwDOSk3Iu30iztqdpGuwEEII4eNkDKwQwjfYMgn96C5MqQexN+pD9tDPZdxmQVCK\n0A+7YUreS06v17Dd/ri3I/IqLf20exmci8fRg0qTe9f/w97ifvmsCSGEED7kWmNgpQuxEML7nHZC\n5o/GlHoQV9lbyB4wUwqKgqJp5PZ8AQDrpnfhT8Z4lhSG1EOEfnwXxovHcVZqQsYTP2JvOUQ+a0II\nIUQxIgWsD5P++v5HcvpHhvNHCF74EOajMegh5cgavahYL/3iizl21umKs3prDDmXCNi1wNvhFL1f\nx7uGzeqOMf00zuqtyXpoJSo08qZ254s5FgVLclwySJ5LDsm1f5ExsEKIIqdlncfyyzIse5f8tkRJ\nQChZoxejl6nl5ej8kKaR1/FxQk6NIGDrx9jajQWD0dtRFS5dx5i0C8uBlZgPrMKYfhoAW4sh5PSd\nLmOBhRBCiGJKxsAK4S26Cy3jDFpeBnr5ev5fUACmw+uxbv8U05EYNN0FuAtXe6M+2NqPw1WxoZcj\n9GO6i7B3bsWYdpKsYV/gaHSPtyMqFMZTO7HsW4blwCoMGSme2/WwiuR2fw57q+HSZVgIIYTwcbIO\nrBDeoBRabjqGtJMYLp3CkHYKY5r7X8OlUxjSk9BcDgD00ArYm95Lbrdni3X32Wsx//I1IQvHAqAM\nJuwN7sTebBCOBneAOdDL0ZUABiO29uMIWvUc1tgPcTTs7XeFnHXD2wRGT/Fsu0pVwdGoD/ZGfXFV\nbQkGGTUjhBBCFHdSwPqw2NhYOnTo4O0wShaXE9ORGEwpv2A8exgtMxVD9kVQCgwGlGZ0t5RqRjAY\n0Ow54LKjl66Oq0xNNKcNLecShkuJGNNOov1uwpyNKdC50m/bemgFMBgwXE7BGjsbU+JOMh9Y6ndF\nrDFpN8FLHwMgt/OT2Do86rfLlfjycWtrORRr9FRMp3YQ+M2z5N4zzW+KOmvMfwiMnoLSNGztx2Fv\nOgBX5eaFUqT7co5FwZAclwyS55JDcu1fpIAVAkApzIe+I3DdGxjPxd/w040XjmE+8ie7tYTgiqiO\nHlEDPaIaeaddZHbqih5RHb10NXfLo1IYk3YR/NVDmBJ3Efr5QHK7P4+zRjswWwvgzXmX6dgWgr8a\ng+a0YWs9iryeL/pdy1+xERBCzqDZBH/5ANbtn2LIvUT2wA/BZPF2ZP9IwNaPCVz//1CaRs7AWdhb\nDPZ2SEIIIYQoJDIGVpRcSmFIO4n5yAYCtn3qKVxdpavjaNQbV2QD9FJV0IPLuQsupbvHbSoX6C5Q\nOpiDUAYjxosnMFw6hTIHoQLD0EtVRY+ogQqKuO5izZB2itA5vTFcTnaHZw7EWasDjrrdcNTpil72\nluJV+OkurBvexrrh32hK4ajTlaxRX4HR7O3ISjzTsS2EzBuOZsvEUa87WUP/W2wnNbLsXULwokcA\nyB7wPvZWw7wckRBCCCH+qWuNgZUCVpQcTjvGlH2YTu3AdOonTKd+wpB1znO3HlaRvNsnYmvzgNda\npLTLyVi3fYop4QdMZw5cdZ+rbG1y+kzDWaer+wZ7Npa9X2NK2gUGI8oShB5aET28IiqsEnp4RXcX\nZS+04moZZwhe9Ajm47EoTSOvy9PkdZ0ERun04SuMyXsJ+fw+DNkX3cvKjFqICizl7bCun1IEbPuE\nwNUvoulOcu56A1vHCd6OSgghhBAFQArYYkr66xccc9wagpZMwJB3+arb9eAyOKu3wd7kXhyN+hR6\n6+CN5FTLSMV8JAZzwg+YjsZgyLkEgL1xP3DmYTrxI4a8jL/dj6tsbXLvesM9WVIRMCX8QPDicRiy\nL6KHRpI96COctTsVyWv7guJ03BrOHyH0s/4YLifjrBBF1gNLUWEVvB3W3zJcSiLw28lY4lYDkNvl\nX+T1fKHIXr845VjcHMlxySB5Ljkk18WPzEIsSrSAbZ8QuOo5NKVwlb0FZ412OKu3wVm9jU93y1Vh\nFbC3HIK95RBwObFunon1+2lY9q/wPMZZ7VbsTfqjTAFotiwMGWcwZKRguJyClnEGQ0YqxgtHCfnf\nEGxNB5Iz8H0wBRR8sLoLY+IuAvYuJuCnzwFw1O5C9qDZqNDyBf96okDo5eqQMW4toXMHYEqNI/ST\ne8h4fJNvdifWXRiTdmPZu4SAnfPQXHZUQCjZA2biaNzX29EJIYQQoohIC6zwawE/ziFo1XMA5PZ4\nnrwuk3y2YL0exjMHMR3diF6qCq4KDdHL1b72E1xOdwG//k00Rw55bR4kt9/bBROMPQfz0U2YD32H\n+dBaDNkXAFCagbwek8nr9ITfzHDr77Tsi4TO6Y3xXDw5d76KrdNEb4fk5sh1f8bi1mA+vA5D1nkA\nlKZhbzKAvDtedE+GJoQQQgi/Ii2wokQyH1xN4LfPA5Dd/z3st47wckT/nKtiQ1wVG17/E4wmbB3G\n46zRhtCP78b601xcVZr/s4lu8jIIWv0ill++RnPk/hZb6eo4ou7C3mIwrkpNbn7/osip4DLk9H6T\n0LkDsW56F1ub0V5dyknLOk/QqucxH1qL5sjx3J7/GbO1GoZeIcpr8QkhhBDCe6R5xIfFxsZ6O4Ti\nSSksexYRvOhhNKXI7THZZ4pXb+XUVaUFOX2nAxC0chLGUztuaj+G1DjCPuxGwK75aI5cnFVakNvz\nBS7/XywZT+8ht/ebJb54La7HrbN2Fxw122PITce6+QOvxWFM2U/oh92w7FuG5sjBWbk5uT0mX/UZ\n83bxWlxzLK6f5LhkkDyXHJJr/1KoBWxSUhJdunShYcOGNGrUiJkzZwLwyy+/0K5dO5o0aUKfPn3I\nzMz0PGfq1KnUqVOH+vXrs379+sIMT/gjWybBix4meMl4NEcutjYPkNflX96OyifYWw0nr617PdaQ\n/w3FcOHYDT3fmLiTsI96YbxwDGeFhlx+cjuZE74nr8u/3AVFMe6aLQBNI/eOlwCwxn6I6fjWIg/B\ndHQjoR/1wph+Gme1Vlx++mcyH/uBvK6T5DMmhBBCCKCQx8CmpqaSmppKs2bNyMrKomXLlqxYsYKR\nI0fyn//8h44dO/L5559z4sQJXn/9deLi4hg6dCg7d+4kOTmZ7t27k5CQgOGKcXQyBlb8FcP5I4TM\nG4HxfALKEkzOPdOwtxwqJ71XcjkJmTcMc3w0roiaZD24BL1Mrb99mjFxF6FzB6DZMrE37kv2wA99\nc6If8Y8FLXuCgJ3/Q5kDyRr5ZZHNIG0+tI7gL0ejOW3Ymg8mp/+7hTPhmBBCCCF83rXGwBZqC2yF\nChVo1qwZACEhITRo0IDk5GSOHDlCx44dAejevTtff/01ACtXrmTIkCGYzWZq1KhB7dq12bHj5ro6\nipLBkHaSgG2fEvzF/YTN7ITxfAKu8vXIeCzGPc5TiterGU1kDfkMZ6WmGNNOEPphd8yH1oLL8eeP\nVwrLji8I/bTvr8VrP7IHfyLFqx/L6fcOtlbD0Ry5hHw+kMBvJ8N1LNd005QiYOvHBM8fgea0kddu\nLDkDP5TiVQghhBB/qsgmcTp58iQ///wzbdq0oWHDhqxcuZK+ffuyZMkSkpKSAEhJSaFt27ae51Sp\nUoXk5OQ/7GvChAlUq+aeeTIsLIzGjRt71nbK7+PuD9tX9tf3hXh8ZduQeohu1pOYE75nyy9HAOhc\nyf17irZ2JK/ZY3T4dXZeX4j3yu3Zs2f7xud17EqCF4/jxx/WwrShdKoeiLNyM2KyK+GKrE+7viMx\nXDzJjk8mY0raTedKYGs1nPXlBsC27d6P34e39+/fz/jx430mnpvavvddVFAE2xa9j7bkI27f/w1Z\nQz5j02lHwb7exu+xbv6QHrmbAFhX/j7spXvT4ddeNz7z+/jddv5tvhKPbMvfX9kuwd/Xsn1d2z5z\n/iXbf7m9f/9+MjLcF8wTExMZM2YMf6VIltHJysqic+fOvPjii/Tr14/4+HgmTpzIxYsX6dOnDzNn\nzuTChQs8/vjjtG3blmHD3DOkPvTQQ9x1113079/fs6+S1IU4NlYWXf69gNhZBK1+0bOtW8Pck8/U\n64ajbjdUWEUvRvf3fCqnuo5107tY9nyF8RrjYVVAKDn93sbe7L4iDK748qkc/0PGlP0ErfgXpqRd\nKIMJW+tR6OGVUYHhKGv4r/+GoZetjQoqfUP7Nlw4Rsj8kRjPHkJZQsge+H6xWc/Vn3Is/pzk3EuL\nygAAIABJREFUuGSQPJcckuvi51pdiAu9gHU4HPTu3ZtevXrxxBNP/OH+hIQERowYwU8//cS0adMA\neO4597qdd955J6+99hpt2rTxPL4kFbDiagFbPiRojXuSmbz243A0vAdntVZgNHs5suJPy76IKXEX\nxsSdmBJ3Yjq9x12wtB2D7baxqNBIb4covMXlIHDd61i3fPiXD1EGE846XbC1Ho2jwZ0AGJN/RstN\nR4+ogZaXifHsYYznDmM4exjj2UMYLyW6d1+uDlnD/4devl6RvB0hhBBC+D6vFbBKKUaNGkWZMmWY\nMWOG5/bz589Trlw5dF1n9OjRdO3aldGjR3smcdqxY4dnEqejR4+iXTGOUQrYkkfLuUTQyklY9i0H\nIPveGdhbj/JyVH5OdwEaGGSlLeFmOr4VU+IOtNzLaHmXf/03Ay0nDeOZ/Wi6CwBHrY6gXJhP/HjN\n/SmjGXujvuT0e9ura84KIYQQwvdcq4A1FeYLb926lfnz59OkSROaN28OwJQpUzhy5Agffui+mj9g\nwABGjx4NQFRUFIMGDSIqKgqTycSsWbOuKl5LGunuAMZTOwn5cjSGjDPumYX7vYO9+SBvh3XTik1O\nDUZvR1BsFZsc3yBnrfY4a7X/0/u0rAtYfl6MdeN/MB/fAoBuDcdVsRGGS4lgCcJVvj6uyN9+9DK1\nim3vCX/NsfiN5LhkkDyXHJJr/1KoBWyHDh3Qdf0Pt/fq1YuJEyf+6XMmT57M5MmTCzMsUUxYfvov\nQaueRXM5cFa7lexBH6GXqentsIQQv6NCymLr+Cj2VkMJ2OJeYimv7RhpWRVCCCFEgSuSSZwKkt91\nIdZ1zIfXYT64CsPlFLS8TPSI6uilq4FygWbEWaUZzhrtStQ4ROvGGQSuewNwj3fN7fVasW2tEUII\nIYQQQlw/r3UhFr/RstMwXD7tLlIvp2C4nIIh4wymxB1/nAE2+ec/3YerTC2cNdq6f2q2L/6tkUqB\nLRNDbjpa/k/OJUyJO7HGzkJpGjn3vov91hHejlQIIYQQQgjhA6SALUy6C1PCBqyxszAf2/SXD3OV\nqoKt3VhcFRuiLCEYLx7HcDmZTYeS6VQ3EtOpHe5C9+JxjBePE7D7SwCcFRtjbz4I260jiqarnq5j\nTNmL+UgMSjNib34fKqwShvQkDOmn3RO62DIhLxPNlulpTbY3HQCWIPc+bJlY9i7FnPADphM/YshN\n/9OXUppGzoAPsLccUvjvqwjJGAz/Jzn2f5Jj/yc5LhkkzyWH5Nq/lKwC1uXAcCkRzZ4NSkdZw9FD\ny4MluMBeQstNx3RyO6YjMVgOrMKQmQqAMllxla2FCquIHl7J/RNWCb10NZw1b7uqe6yremsAHOZY\n8vIPNpcTY+oBTCe2ufd/bBOmM/sxndmPdeN/yLv9/7C1G3Nz78XlRMu5iGbLAqfdPfOswQQGE8pg\nBM2A+fB6rJvew3jplOdpgdFvogJLY8i+cM3dB659DectHUEpzEdi3EXur5Q5CBVUCj2wNCqoNCqw\nFCqwFPZGfXDW637j70UIIYQQQgjht4r9GFgt6zyGyykoo9lddBlNYDCjjGZUcFkwGDHHrcG64W2M\nqQfRdOcf9qkswegh5VGh5dBDInFVaoSz2q24KjZGBZcBRy6GiycxZF/4ravrr91d3d1fL6FlX8R4\n4TiGjJSr9u0qXR1bmwewtx6FCgwvuF+E04Y5PpqA2FmYT24HQA8pj63VcDSXHRy5KGv4rwVh+G/F\noSkAzZaF4eIJzCe2YjxzAEPaSTSX47peVg+vhKNeT7TcdMwHv0XTnehBEejl6qCsYe6fgFCUNRRl\nCcJ8OBrT6T1X7cNRox32lkNx3tLRPdZXCCGEEEIIIX7ltXVgC8OVBaw57juCv3zAXbD9CWWyoodV\nxJh2wr2taejhVX4tJDW03HQMWefQnLa/fD09sJR7zcPr/DUpUwDOKi1w1myPI6oXrsrNoDCXAlIK\n05ENBK6fgukvxs5eDz24LCogFEwWULp7HVDd6S74dRd6qSrkdXgUR6M+niVWtGx3q61eutpfv0el\nMCbtdi+lAejl6+Kq2Oim4xRCCCGEEEL4N7+cxMl0dBPBXz2I5rLjKlfX3e3V5QSXw110OW0Ysi9g\nTDuBHlSavO7PYWs57LexmPnyJxLKPIsh6zyGy8kYT/+MKXEnxrOHMeSmowxGXGVqooeWRwX+2pIZ\n5O7qql+xrUfUdBdzBbSG5nX119c0nHW7kVmnK+bD6zCd3IYeWBosQe4xqbmX0HIve1qMNZcdZQlB\nDy2Ps0ZbXFVb4Sp7yx9/L9dBBZdxt1D/TXyuaq1wVWt1w/v3RzIGw/9Jjv2f5Nj/SY5LBslzySG5\n9i/FsoA1pB4iZN5wNKeNvHZjyb1n2p+2AGq56RjOH8FVvt5fT3KkaWANQ7eGoZer476t2X3uf3Ud\nLescKijC3TLpyzQNR4M7cTS409uRCCGEEEIIIUShKJZdiDtvfBTj+QTsTQeQPehjd+urEEIIIYQQ\nQohi71pdiItl5Wc8n4CrfD2y+78rxasQQgghhBBClBDFsvpT5iCyhn5eoMvf+KLY2FhvhyAKmOTU\n/0mO/Z/k2P9JjksGyXPJIbn2L8WygM3pOx09sr63wxBCCCGEEEIIUYSK5RjYK9eBFUIIIYQQQgjh\nP/xuDKwQQgghhBBCiJJHClgfJv31/Y/k1P9Jjv2f5Nj/SY5LBslzySG59i9SwAohhBBCCCGEKBZk\nDKwQQgghhBBCCJ8hY2CFEEIIIYQQQhR7UsD6MOmv738kp/5Pcuz/JMf+T3JcMkieSw7JtX+RAlYI\nIYQQQgghRLEgY2CFEEIIIYQQQvgMGQMrhBBCCCGEEKLYkwLWh0l/ff8jOfV/kmP/Jzn2f5LjkkHy\nXHJIrv2LFLA+bP/+/d4OQRQwyan/kxz7P8mx/5MclwyS55JDcu1fCrWATUpKokuXLjRs2JBGjRox\nc+ZMAHbs2EHr1q1p3rw5t956Kzt37vQ8Z+rUqdSpU4f69euzfv36wgzP52VkZHg7BFHAJKf+T3Ls\n/yTH/k9yXDJInksOybV/MRXmzs1mMzNmzKBZs2ZkZWXRsmVLevTowTPPPMMbb7zBHXfcwXfffccz\nzzxDTEwMcXFxLFq0iLi4OJKTk+nevTsJCQkYDNJQLIQQQgghhBAlXaFWhhUqVKBZs2YAhISE0KBB\nA5KTk6lYsSKXL18GID09ncqVKwOwcuVKhgwZgtlspkaNGtSuXZsdO3YUZog+LTEx0dshiAImOfV/\nkmP/Jzn2f5LjkkHyXHJIrv1LkS2jc/LkSTp16sTBgwe5ePEiHTp0QNM0dF1n27ZtVK1alccff5y2\nbdsybNgwAB566CF69erFgAEDPPv54YcfiiJcIYQQQgghhBBe8lfL6BRqF+J8WVlZDBw4kPfee4+Q\nkBD69evHzJkzuffee1myZAkPPvgg0dHRf/pcTdOu2v6rNyKEEEIIIYQQwr8V+uBSh8PBgAEDGD58\nOP369QPckzjde++9AAwcONDTTbhy5cokJSV5nnv69GlP92IhhBBCCCGEECVboRawSinGjBlDVFQU\nTzzxhOf22rVrs2nTJgA2bNhA3bp1AejTpw8LFy7Ebrdz4sQJjhw5QuvWrQszRCGEEEIIIYQQxUSh\ndiHeunUr8+fPp0mTJjRv3hyAKVOmMGfOHCZMmIDNZiMwMJA5c+YAEBUVxaBBg4iKisJkMjFr1qw/\ndCEWQgghhBBCCFEyFdkkTuLv6bouSwb5iR9++IFmzZpRpkwZb4cihBBCCFFiZGVlERISglJKGsL8\nlPHVV1991dtBlHT79u1j8uTJxMXFUa9ePYKDg70dkrhJX3/9NQ8//DA7d+5kzZo1WCwWGjRo4O2w\nRAFbvXo1+/bto3z58gQFBXk7HFEIzp07x6JFi7DZbFSpUsXb4YhCcvDgQRYsWEBERARly5b1djii\nEHz99desWLGC7Oxsateu7e1wRCFRSpGVlUX//v2Jj4+ne/fuUrz6MWnu8yKlFE899RSjRo2iZcuW\n/Pzzz1eNFRbFy6ZNm1i4cCGvvfYa69ato3PnzsTHx3s7LFGADh06RN++fZkyZQorVqxgyJAh3g5J\nFII333yTHj16sGPHDoYOHcqWLVu8HZIoYDabjSeeeIIRI0Zw+PBhXnnlFRYsWODtsEQBOn36NL16\n9eL999+nbNmyPPDAA2zYsMHbYYlComkaAQEBpKWlkZyczLfffuvtkEQhkgLWi3Rdp1WrVnz//fc8\n+uijvPXWWwQGBmK3270dmrhOV/bAb9GiBfPnz6dbt27k5OSwbNkywsPD2bdvH+DOtyjeNmzYQPv2\n7T3j+8+fP8/p06e9HZYoQCdPnuTEiRMsXryYjz76iCFDhrB582ZvhyUK2Jo1awgNDWXXrl18/PHH\n1KtXj/Lly3s7LFGAEhISuO+++9i4cSMPP/wwY8eORUbN+be4uDjKlClD586d+e6770hPT/d2SKKQ\nSBfiIrZv3z6UUoSEhKBpGk2aNCEoKIjNmzfTuXNnwsPD2bJlCy1btiQsLMzb4YprmDJlCi+//DKj\nR48GwGKxYDKZSElJ4ZlnnsFkMlG2bFkeffRRBg8eTKlSpbwbsLgply9fxmq1AtCsWTNuv/12AF5+\n+WVOnjyJwWAgKirK8xhR/Fy+fBmTyYTBYCA0NJR+/fpRtmxZ9u7dy7Rp06hSpQomk4kaNWpIl7Ri\n7Pz5854hOnXq1PF0Mfz+++95/vnnqVixIhkZGdSrV8/LkYqbdebMGUJDQwH30oytWrUC4J133uG1\n116jTJkynD9/niZNmngzTFEA8hsHrhzrarFYSEhI4LbbbuPo0aPk5uZSrlw5QkJCvBytKGjSAltE\n0tPT6du3Ly1atGDNmjXk5uZedSLkcrmYO3cu3333HXa7nfnz52Oz2bwYsfgruq4zY8YMYmNjOXr0\nKFOnTgXcOQSoWLEib731FkuWLOHZZ59l4MCByHWi4ic6OpratWsze/ZsLl++DIDZbAZgz549/PLL\nL0yfPp0ffviB6dOnk5KS4s1wxU3Iy8tj2LBh3HPPPfzyyy8AGI1GAM/38H333Uf9+vV56623WLt2\nrTfDFTfp1KlT3HHHHXTs2JGcnBwAz4SJR48eZfHixbz99ttUr16dl19+ma1bt3ozXHETtm/fTmRk\nJD179vTcZrFYAHeObTYbmzdv5vbbb+ell14iNTXVW6GKf+jK8+nVq1dfdT594MAB0tLS6NChA+XL\nl2fSpEk89dRT2Gw26QXnZ6QFtogcOXIEgG7dunHs2DEqV65MxYoVPffXrFmTBg0aoGka4eHhfPjh\nh4wdO1ZmJfYhNpsNg8GAwWDAarUybtw4+vXrxwMPPMCECRMIDAzE5XJhMBiumtgnMTGR6tWr07Jl\nSy9GL27EmTNn+PzzzwkODkbXdSIjI6lWrRqapqGUomLFigwZMoTq1atz66238tZbb3HfffcRHh7u\n7dDFdXI4HHzzzTfs27ePiIgIjEYjtWvXJjAwEKUUJpOJ7t2707lzZ1q0aMHOnTs5f/48Xbt29Xbo\n4gZNnz6dsLAwypYty65du+jRo4dn1v+IiAjuuecemjZtSrNmzThz5gxHjhyRPBcjOTk5LF26lN69\ne3Pw4EEMBgPNmzdH13U0TaNUqVLcfvvtVKlShXr16rFhwwYuXbpE+/btvR26uAnXOp/Oy8sjISGB\nxYsXs2jRImrVqkWHDh3o1KmT9J7xM1IdFaIffviBuLg4AOrVq8fYsWN57LHHyMzMJDY2lkuXLv3p\n844fP067du08LXrCu1wuF2PHjmXEiBG89tprADRv3pzg4GDq169Pr169GD9+PPDbOFe73U56ejov\nv/wyH3/8MfXr1/da/OL6uFwuTytqREQETz31FEuWLMFsNrNp06arrthf+YewTp06VKlSRY7XYiIx\nMRFwt6a3b9+eRYsWMXr0aLZt2+bpkpaf3ysvIFarVo2IiIiiD1jclDNnzuB0OgEYN24cr7/+Os89\n9xzfffcdhw4dwmg0/ukxe+bMGTp27FjU4Yob5HQ6SUhIICcnh6CgIAYMGMCYMWN48cUXmT59OpmZ\nmZ7j98rj2OFwULZsWTp37uylyMXN+Lvz6bS0NADS0tLYsGEDmqaxe/duXnrpJeLi4mRCTT8kLbCF\nICkpiU6dOrFz507WrVuH3W6nTp06hIaGYjKZMJvNREdHU6FCBc+YqrS0NLZv387w4cM5duwYkydP\npkKFCt5+KyWerutMnTqV8+fPM23aNGbMmMHp06epW7euZ5xNz549GTduHD179vQst5GSksIjjzyC\nUop58+ZJAevjZs+ezcMPP8zGjRsJCAigSpUqnuOvTJkyrF69mjJlylCzZk2MRiN5eXnYbDY+/fRT\nxo0bR+vWrenfv7/0mPBhSUlJ3HfffSxevJhDhw4RGRlJ7dq10TSNW265hW3btnHmzBlq1apFeHg4\nLpeLvLw84uPjefzxx9m6dSuTJk2iXLly3n4r4hr27NnDnXfeyebNm4mOjqZXr16UKVMGq9VKuXLl\nSE1NZcmSJQwaNAhwX6zIyMhg/fr1TJw4EafTyahRo2QOCh+2bNkyunTpwqFDh1ixYgU9e/akUqVK\ngPuCYnR0NIcOHaJ79+6ei8opKSksWrSIRx55hOrVqzN69GhMJpM334a4Dtd7Ph0ZGUnNmjWpWrUq\nd911F0OHDiUoKIjg4GC6d+9OjRo1vP1WRAGTs61CcPjwYbp3705MTAzPPfcc8fHxvPPOO577e/Xq\nRdmyZdm2bRuapmG324mIiODixYtMnDiRtWvXEhUV5cV3IPIZDAYOHz7M7bffTrVq1fjoo49ISEhg\n48aN2Gw2lFKEhYXx8ssv869//Yt9+/bx/vvvU7VqVT7++GPmzJlDREQELpdLZj/0UWlpaaxatYr5\n8+fz2GOPERsby7Rp0zz333rrrdSrV4+YmBjPjIZWq5XNmzezYcMG5syZw1tvveUZOyl805IlS2ja\ntClr167FYrEwY8YMdu/e7bl/2LBhxMfH8/PPPwPusbA5OTnMnj2bZs2asWPHDvle9nFKKd577z0e\nffRRVq1ahc1m48knn/SMewWYMGECp06dYv369RgMBpxOJ5mZmXzyySeMHj2aZcuWUblyZS++C3Et\n2dnZrFy5klWrVrFy5UpKlSrFu+++y8GDBz2P+fe//82iRYs4c+YMBoMBu91OTk4O8fHxzJkzh9mz\nZxMQEODFdyGu1/WeT2/fvh2lFDk5OVSuXBmn04nL5SIyMlIag/yUFLAF5OzZs57lb3bv3s3Ro0cB\n6NChA/3792fPnj3s3LnT8/hnnnmGuLg47r77burUqcO5c+cYOHAggwcP9kr8wi05OZlJkybx2Wef\neboTtmjRguzsbLKzs2nQoAEdO3Zk27ZtnD592tPV8IEHHmDz5s3cddddVK1aFYDIyEiUUui6jtFo\nlPEXPsThcHj+f+DAATIyMmjUqBF33HEHo0eP5tixY6xatcrzmEceeYTc3FwWLFjAXXfdxfbt2+nV\nqxdLly6lZcuW6LouE0T4uJiYGNq3b09QUBATJkygYcOGvP/++577mzZtSufOndm2bRuTJk3i4Ycf\npmzZsrz77rs8//zzAJ4uqcI3aZqGyWTyLIfz0UcfcfToUdatW+c5PiMjI3nhhRd4/fXXeemll5g5\ncyaVK1fmm2++kXWdfVRGRobn/8HBwRw6dIgLFy4AMGnSJPLy8vjhhx88x2fdunUZM2YMo0ePZvjw\n4UybNo06derw9ttve2YlFr7rZs+ne/fuTVRUFKmpqZhMJrmo7OekgP2HvvzyS5o2bcrEiRM9XZLG\njBlDcnIye/bswWq10qBBA7p06cLSpUs9z9u1axdfffUVpUuXJjY2Vtaf8wGzZ8+mc+fOmEwm4uLi\neO211zh37hxVq1bl+PHjnjEUgwcP5siRI5w5cwaAvXv3MnjwYJ555hlOnz5Nv379PPvUNE26lfqY\nV155hREjRvDyyy8DcPvtt2O321m1ahUGg4E6derQq1cvFi9e7DnpLVeuHLt37+aNN94gKiqKtm3b\nevaXP3GX5Nl3bNmyhTvuuIPJkyd7LkR07dqVTz/9FHDPFH733Xdjs9lYs2aN53mhoaG888477Ny5\nkwcffBBwj5XVdd0zsZPwHfPmzePuu+/m5ZdfZvv27YB7SQ2Hw0Fubi6lSpXi/vvvZ968eVddYLpw\n4QI//vgj+/btY+jQod4KX1yH119/na5du/Lss8+ycOFCAO69914OHDiArutERUXRpEkTkpKSPIUO\nuGeq3bBhA9WqVeOVV17xVvjiBhTE+fSWLVukxbWEkDOum6TrOvPnz2f27NnMmjWLRYsWceDAAebO\nnUu5cuXo168fs2bNAiA8PJyKFSt6ugvn5eVx4cIF1q1bx/z58z0tdsJ7HA4HZ8+eZfny5UybNo2n\nnnqKChUqkJCQQM+ePXE4HJ5W1/DwcKKiooiOjgagUaNGLF261NPtVFppfNPRo0dp27Ytp06dYvLk\nyaxevZpnn30WcP+RnDdvHuC+wt+0aVOCg4NJTExEKcXy5cuJjIxk3759vP322wCeLuFyldd3OJ1O\npkyZwmOPPcbIkSOpX78+I0eOxOl0MmLECIxGIytWrACgfPnyNG7cmLNnzwLuq/7Lli1j9uzZbNq0\nibZt23pybDAYpAeFD8nMzGTkyJHMnTuXSZMmYbPZ+Pzzz0lLS6NVq1Z8++23nryOGTOGo0eP8v33\n3wPw448/snLlSmJiYli5cqWc7Pqo1NRUBg8ezNGjR/n8889p0qQJ7733HpmZmTRu3JjU1FQ2bdoE\nQKdOndi9e7fnIuKmTZvQNI0TJ04wZcoUb74NcR3kfFrcFCVu2s6dO1VSUpJn+3//+5964IEHlFJK\nHTt2THXv3l198sknSimlVq1apUaNGuWNMMXfcLlcSimlkpOTld1u99zepUsXFRsbq5RSav369eqp\np55Sw4cPV3v27FG33XabiomJ+cN+8vclfM/BgwfVsmXLPNt79uxRTZo0UXl5eer06dNq8ODB6t//\n/rdSSqn09HTVtWtXdenSJaWUUjabzfM8p9MpefZR2dnZatGiRSo1NdVzW69evdTcuXOVUkp98cUX\nqlOnTsrhcCillHryySfVrFmzlFLuvF4p/zHCN82YMUOlpaUppdzHdt++fdXp06eVUkoNHjxYzZo1\nS506dUoppdQLL7ygvvrqK6/FKm5cRkaGWrBggWf77NmzasSIESo+Pl6lpqaqN998Uz399NPqwoUL\nSiml+vfvr7799lullJLv52JIzqfFjZL+UP9A48aNCQgIQCmFpmn88ssvNGjQAIBatWrx/PPP8/TT\nT7Nz506+++476cbiQ1wul6flLP+qbf4shkopsrOzCQ8Pp1SpUgD06NGDli1b8uabb/Liiy8ycODA\nP0zDL11IfVutWrU8k7Pouk5OTg6NGjUiICCAypUr88wzz9C/f3/Kly9PTEwMISEhntZ0i8UCXP25\nEb4nKCiIzp07U758ec8454iICJo1awbAyJEjWbNmDQ899BBt2rRhw4YNdOjQAfitJT1/fVDpLuyb\n8vPz8MMPExQUhNPpJCoqiosXL5KamkrlypWZOHEiS5YsISYmhqZNmzJ//nxWr17t7dDFdVJKERoa\nyj333OO5TdM09u/fT6lSpShfvjwDBgzggw8+YMiQIVSoUIHjx4/TpEkTQP4WF0dyPi1ulPyFvg75\nY2d+/6WYP4udy+XCZDKRlZVF9+7dPfd37dqVpUuXsmvXLv71r39Rt27dogta/Kn8L8f8k9W9e/fS\nqFEjz8lq/v0pKSkkJSXRsGFDAOLj46lXrx5Tp07FZDJ5Pgv5jxe+Jf8k90pWqxWr1Qq4j+WMjAwM\nBoMnhy1atGDu3Lns2bOH8PBwPvnkE8xm81X7kOLVt+RfULjyOMyfT8BkMqFpGqdPn74qb59++ilr\n1qxh9erVvPPOO3Tr1u2qfcrJr2/JyMjwLGmjlPLkJygoCHDnOSEhgYCAABo3bgzAbbfdRsOGDfny\nyy9JSEhg3bp11KtXzztvQPytv7owmL9UHcDFixepXLmy5/iuV68e77//PsuWLSMxMZHPPvvsD9/X\nwvfI+bQoKPKX+hpSUlK4ePGiZ4KW/FnRgKsWQM8vfg4dOkTr1q05dOgQU6dOBaBmzZrcd999crB5\nmfp1LFv+Se727dt58MEHWbhw4VWTe+TfHx8fT5s2bfjpp5/o2LEjy5cvR9d1T/GavyyOFK++Rf06\n6/Pv/ziqP1nCaNGiRfTs2RNN09i4cSNOp5OuXbsyadIk3nvvPcxm81XHufAd+S3j+Uvd/NlxqGka\n8fHxZGRk0KRJE9LS0tizZw8hISEMGjSIL774gm7dunk+M8L3XLx40TO3wNGjR0lISLjq/vzj+sSJ\nE1SpUgWLxcKhQ4eIjY0lPDyc8ePHM2PGDClefVj+LP0A+/fvx+VyXXU8X5njihUrArBq1So2b94M\nQP/+/XniiSekePVxcj4tCpoUsNcwcuRIVqxYQVZWFmPHjmXkyJGeP6a/v1oYFxdHeno6r776KsOG\nDfO09Ajv+/0fxAMHDnDbbbdRp04dpk2b5ukeeqXDhw8ze/ZsJk+ezAsvvMBzzz131UyzsiyO78nP\ns8Fg4MCBA7zyyivs378fcBcz+SdC+cVK/pXeIUOG8OSTT5KamnrV/q48sRK+Jf8kJyYmhkGDBrF8\n+XKAP1xwOHLkCB06dOCDDz7g1ltvZevWrVfdr+u6zBTug/LzWKZMGU6ePEndunUZMGAAcXFxf/r4\nxMREXC4Xb775JsOHDycrK6sowxX/gMFgICEhgbvvvpupU6eSmJh41f35f2e3bNmCzWZjzJgxTJ8+\nXc6xihk5nxYFTboQ/07+H06j0chjjz3GnDlziI+PJzQ0lPHjx/Pwww+jlOL555+/qqUdfyKOAAAQ\nmklEQVQnPT2dxMREzGYzW7ZsITg42JtvQ/BbN1Kj0Uh2djbff/897du3p1GjRvTv359t27YBkJeX\n96dfkDNmzOD//u///rA/4VuuzHNubi4bN27k3//+N1WqVGHatGl06NCB8ePHe1rM83O4bt06Nm/e\nzIsvvshXX331h/1Krn3H73s77NixgxEjRtC+fXvS0tJYunQpd999NxaL5areFgcPHuSDDz5g1KhR\nREdHU6tWrav2Kzn2Lep3M3sfPXqURo0asW7dOpYvX87tt99+1ePzPxPffPMN33//PU899RSbNm0i\nJCSkaAMX1+333YXT09N57bXX6N27N+PHj//D4/M/EwcOHODgwYOeddqF75PzaVGoimy6KB+n6/of\nZqFUSqlx48apFi1aqH379imllNq/f7+qVauWOnfunFLqt5krT5w4oU6ePFl0AYvrtmTJEtWyZUvV\nrVs3dc8996jo6Gh18eJFFRgYqI4cOaKU+i2PfzZ74Z99LoRvmjBhgqpTp47auXOnUkqpb7/9VnXp\n0kUlJycrpX7LZUpKivrss89UVlaW57ky66zvy83NVUop9eabb6qPP/5YKaXUxo0b1YMPPqjeffdd\npdTVx/DXX3+tNm/e7NmWGaR915V5iY6OVu3atVPTp09XTqdTTZ8+XfXu3Vsppa6aKT7/eF62bJna\nvXt30QYsboiu61dt588efO7cOXXbbbd5Zoy+csb3Ky1fvlxlZ2cXbpCiQMj5tCgKxldfffVVbxfR\n3pSamorRaMRsNmMwGDh+/DhPPPEEJ06cwGw207dvX5YsWULnzv+/vXsPirJs/wD+3a0BBlsOomuK\nguk4imCGjKlLSIp5SDQikUOy1AgjlqRJHpdBmUzLhBLMlATB8JQpojhInjIY0awRJ7RQsURxFA/L\nyROHvd4/fNlfdviNvhkPC9/PDOPsurtz3fMMen+fve/rfhFOTk5wdnbGoUOHYDQaodPpzHeMHBwc\nzB1rSRkHDhyASqWCo6MjAODOnTvYsGEDFi5ciK1bt2LOnDmoq6tDXl4ehg8fDo1Gg5SUFERERECl\nUpl/msnvzoCk1slkMqGyshKJiYno0KEDJk6ciLS0NIwdOxY9e/ZEly5dcPbsWRQVFZn3u6pUKmg0\nGnh6esLKygqNjY0PNPai1qF5eW/zn9u2bcPBgwcxbNgwrFmzBiaTCaNGjYKTkxPu3r2L7du3w8/P\nD3Z2dmhoaMATTzwBNzc3uLq6mve5cul/61JeXo6ioiJotVpYWVlBpVLhhx9+QFxcHOLi4qDX66FW\nq6HT6fDhhx9Cq9XCw8MD1dXVsLGxMX9r4+bmZt4fSa3P779d279/P0JDQ1FSUoKqqio4OTnh4sWL\n6NGjB1xcXMz/DldVVcHGxgaNjY1Qq9Xo168f97m2cpxPU0tqtzPzpqYmxMfHw9vbG6WlpQDuN/aZ\nNGkSRo4cia5du2LKlCmwtrbG6NGjkZaWhpKSEgD3u6V5e3srWT79wc2bN6HX6xEVFYXU1FQA97vO\nDhgwAPX19SgrKwMAjBkzBlqtFgUFBTAYDDh06BAOHjz4t01gONltXWbPno0lS5YAACorK6FWq+Hg\n4IArV65g37596NKlC6ZMmYKVK1cCAOzs7BAWFoZvvvkGxcXFf7qeImLuVkutS/NkpqamBgBQX1+P\nkpISFBUVYfr06SgpKUFFRQU0Gg2sra1x584dZGZmAsCfJrq8QdG6mEwmzJs3D76+vkhNTYVer8fC\nhQsB3G/c9PTTT2PMmDEAgHv37gEADAYDEhMTMX36dLz88suorq7mUUet2OXLl3Hy5Encvn3b/Fxh\nYSFWr16NLVu2YOLEiZg9ezauXLkCW1tb7Ny5E99++y1u3ryJqKgofP311wDAa2wBOJ8mJbTLAJuf\nn4+uXbuisbERhw8fNp8RePr0aaxYsQJubm749NNP8dJLL8HBwQGzZs1CeXk5DAYD/P39oVarMXDg\nQIVHQb+nVqsxaNAgREREIDMzE+vXr4fJZMLzzz+P2NhYbNu2DQDg4uKC69evw2g0Arh/jM7IkSOV\nLJ0eQUBAAJKSklBaWoq3334b+/btg7W1NSZPnoyysjLk5+dj0aJFOH/+PHJycqBSqeDm5oZ169aZ\nf89/j8G19Thw4AB+/fVX8+N79+4hOTkZs2bNAgCEhoaic+fOOHz4MBwdHeHh4YGIiAjk5uZi3bp1\n8PLywuXLl1FVVaXUEOghffHFFygrK8O5c+ewY8cOrFixAllZWcjJycHVq1fRtWtXVFdXA7g/wb19\n+zaCg4NhMBjQs2dPZGdnw97eXuFR0F9pamqCwWDAqFGjEB8fj8DAQHzwwQcAgIaGBgwaNAjbt29H\nQkICYmNjMXz4cMTExKB37974+OOP8eKLL6JXr16IjIxUeCT0MDifJsUovIRZEUePHhWVSmV+fOjQ\nITl58qSkpaWJlZWVBAQESGFhoYiI1NXVSVNTk2RkZMiMGTPM+zSo9QkPD5ekpCQ5fvy4REVFyZIl\nS6S+vl4uXbokOp1OoqOjZdeuXeLu7i67d+8Wkf/bd8V9ca1f8x6q4OBgCQgIkM2bN0t4eLj57xct\nWiTR0dHS1NQk69evl379+v1p39UfH1PrcOPGDenWrZv4+fmZ97aaTCYpKiqSgIAA2b9/v4iIFBQU\nSFBQkOTl5UlTU5N88sknotfrpbi4WHbs2CGzZs1Schj0EBoaGiQwMFD27t0rIiK1tbUiIpKRkSGB\ngYFy+vRpGT9+vKxcuVKMRqOcOHFCIiMj5cSJE0qWTQ8hLy9PtFqtLFy4UK5duya3b9+WwsJC0Wg0\ncvDgQdm1a5f0799fIiMjzXtgr1+/LuXl5SIiUlFRITU1NUoOgR4R59OklHYZYEVEAgMD5bXXXpOZ\nM2eKl5eX5Ofny7lz58THx8c8Wbpy5Yq8+eabsmfPHoWrpYexY8cOWbZsmYiIJCcni52dncyePVtu\n3bolmzdvlmeffVamTp0qJ0+eVLhS+l80h88bN26InZ2dfPXVVzJjxgzJzMwUEZHCwkJxdnaW1NRU\nERH55ZdfFKuVHo3RaBR/f3/ZsGGD6HQ6SU9Pl6amJmlsbJSkpKQHblT4+vrK5MmT5cyZMyIiUlNT\nI6tWrRI3NzfJyspSagj0CEJCQiQ5OVlEHmyS5+HhIbm5uXLixAmJiYmRMWPGyIABA2Tjxo1KlUqP\n4I9hprnpWmJiogwdOlSMRqOMHz9e0tPT5e7du1JcXCxDhgyRpKQkpUqmx4DzaVKCSuS/nWramaqq\nKjg7OyM8PBxr1qwxP79p0yYkJCRgxIgROHr0KMaPH29e/kKt25dffondu3dDpVKhpKQE7733Hnbu\n3IlOnTrh1VdfxbFjx2BjYwODwYDGxkY2dLFAzUcwJCQkYNeuXVixYgViYmKwceNGZGVl4erVq4iN\njTUvSeLRR5ZDr9fD09MTPj4+SE1NhaurK+bOnYtr164hMjISOp0OgwYNQkpKCiZPnoywsDBYW1sj\nLy8PR44cQUxMDLRardLDoIewdu1anDp1CnFxcdBqtaitrYVGo8HcuXPh5OSEefPmAbh/dIqHh4fC\n1dKjCAoKQocOHZCRkYGGhgbzfvQePXpgw4YNcHBwQEZGBkpLS1FZWYnY2Fi8/vrrCldN/wTn06SE\ndhtgAWDx4sUoKCjAgQMHzF0rmzun/fTTT/Dy8kL37t2VLpMeUnV1NZ555hmEhYVh1apVAIAzZ87g\n8uXL8PHxwb59+5CcnIy0tDR2rGwDXFxcsHLlSlRVVSEjIwMvvPAC/3O0YNnZ2SgtLcX8+fORkpKC\nuLg4REZGYvny5SgtLUV8fDxqa2uxdOlSeHl5md/3x3MlqfU7c+YMUlJS0Lt3b/MeZwAIDg7GW2+9\nBV9fXwWro3/CaDTC1dUVRUVFcHd3x61bt9ChQwfo9XoMGzbMfNZraWkp+vbtq3C19LhwPk0trV0H\nWABwdXVFYmIiJk2ahPr6elhZWSldEv0D7777LsaNG4fRo0f/aWJbW1sLANBoNEqVR49B87eqW7Zs\nQUJCAn7++ecHfncZaCzTH1dQzJkzB9nZ2bCzs8PixYvh7OwMGxsbAPe7R4sIv123YHv37kV8fDz8\n/f3x3HPP4bPPPoNKpUJ6ejq6deumdHn0D8THx2P//v04cuSI+Tl/f3+8//778PT0VLAy+jdxPk0t\nqd0H2C1btkCv16O+vl7pUugxeOWVVzB16lRzdztqm0QEKpUKo0aNwrRp0xAUFISmpiaoVCpedwv1\nVysozp49i/Lycvj5+ZlfxxsUbceRI0fw3Xff4ejRoxg3bhymTZumdEn0mLi6uiIjIwP9+vXDG2+8\ngU6dOmH16tXsHt2GcT5NLandH7AVEhKCyspKmEwmnvvZBmRkZMDR0VHpMuhfplKpUFtbC1tbW/Tq\n1QsAGGosnL29PSIiIjBu3DgA94Nqnz590KdPnwdex+vcduh0Ouh0OvMNKWo7li9fDj8/PwwePBhR\nUVE8Fqcd4HyaWlK7D7AA8M477yhdAj0mzeGVzXvavh9//BEDBw78y/NdyTKdP38ed+/ehclkeiCo\nMuC0bby2bU9wcDBqamqg1+thbW2tdDnUQjifppbS7pcQExFR62A0GrmCgoiIiP5fDLBERNSqcAUF\nERER/R0GWCIiIiIiIrIIvMVNREREREREFoEBloiIiIiIiCwCAywRERERERFZBAZYIiIiIiIisggM\nsERERC2kZ8+esLW1hZ2dHRwdHeHt7Y21a9fiYfop/vbbb1Cr1TCZTC1QKRERUevEAEtERNRCVCoV\ncnNzUVNTg/LycsyfPx8fffQRpk6d+tCfwcMDiIioPWOAJSIiUoBGo8GECROwdetWZGZm4tSpU9iz\nZw88PT1hb28PFxcXJCQkmF8/fPhwAICDgwM0Gg2OHTsGAEhPT0f//v3RsWNHjB07FuXl5YqMh4iI\nqCUwwBIRESlo8ODB6N69OwoKCvDUU08hKysL1dXV2LNnDz7//HPk5OQAAAoKCgAA1dXVqK2txZAh\nQ5CTk4Nly5YhOzsb169fh4+PD0JDQ5UcDhER0b+KAZaIiEhh3bp1g9FohK+vL9zd3QEAAwYMQEhI\nCA4fPgzgr5cOr1mzBgsWLEDfvn2hVquxYMECFBcX4+LFiy1aPxERUUthgCUiIlJYRUUFOnbsiGPH\njmHEiBHQarVwcHDA2rVrcePGjb9934ULFzBz5kw4OjrC0dERTk5O5s8jIiJqixhgiYiIFHT8+HFU\nVFTA29sbYWFhCAgIwKVLl1BVVYXo6Ghz12GVSvWn97q4uCA1NRVGo9H8c+vWLQwdOrSlh0FERNQi\nGGCJiIhaUPNS4JqaGuTm5iI0NBTh4eHw8PBAXV0dHB0dYWVlhe+//x6bNm0yB9fOnTtDrVajrKzM\n/FnR0dFYunQpTp8+DeD+/tht27a1/KCIiIhayJNKF0BERNSeTJgwAU8++STUajXc3d0RGxuL6Oho\nAMDq1asRGxuLGTNmwNfXF8HBwaiqqgIA2NrawmAwwNvbGw0NDcjPz0dAQADq6uoQEhKCCxcuwN7e\nHqNHj0ZQUJCSQyQiIvrXqIQHyhEREREREZEF4BJiIiIiIiIisggMsERERERERGQRGGCJiIiIiIjI\nIjDAEhERERERkUVggCUiIiIiIiKLwABLREREREREFuE/RjNec7bmQ0kAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Returns" ] }, { "cell_type": "code", "collapsed": false, "input": [ "stoxx['rets'] = close_px.pct_change()\n", "plt.figure(figsize=(16,4))\n", "stoxx.rets.plot();\n", "plt.title('Returns %s' % sc);\n", "plt.ylabel('\\$');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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QRGZQgwAAKdSe44YQBEEQBEEQBMXsEgSRISonj4DSWIemG19DePBXc90cogtR9sotkFoP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\nbmHQoEHo3bs38vPzAUAQg0xOTsaWLVvw2WefoWnTpliwYAF+/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8PDwwPff/89HBwcjI5B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"text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Relative Strength Index" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Source: http://stackoverflow.com/a/20527056 (with Error!!)\n", "\n", "The RSI is not calcualted with the `rolling_mean` but with the exponentially weighted moving average `ewma`!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Get daily up or down\n", "delta = stoxx['Close'].diff()\n", "\n", "dUp, dDown = delta.copy( ), delta.copy( )\n", "dUp[ dUp < 0 ] = 0\n", "dDown[ dDown > 0 ] = 0\n", "\n", "n=14\n", "RolUp = pd.ewma( dUp, n)\n", "RolDown = pd.ewma( dDown, n).abs()\n", "\n", "RS = RolUp / RolDown\n", "RSI = 100. - 100./(1.+RS)\n", "\n", "plt.figure(figsize=(9,3))\n", "RSI.plot();\n", "plt.axhline(20, color='k', alpha=0.2)\n", "plt.annotate('oversold',xy=(0.5, 0.3), xycoords='figure fraction', fontsize=20, alpha=0.4, ha='center')\n", "plt.axhline(80, color='k', alpha=0.2)\n", "plt.annotate('overbought',xy=(0.5, 0.8), xycoords='figure fraction', fontsize=20, alpha=0.4,ha='center')\n", "plt.title('RSI %s (%i days)' % (sc, n));\n", "plt.ylim([0,100]);\n", "plt.ylabel('%');\n", "plt.savefig('RSI-FXXP.png',bbox_inches='tight', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IdXR0dHR0dBqCelNOrrjiChYsWADAggULmDx5srb+k08+weVykZaWxoEDBxg+fHjYPhRb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"text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Monte Carlo Simulation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "SO=stoxx['Close'][-1] # letzter Preis\n", "vol=np.std(stoxx['rets'])*np.sqrt(252) # Historical Volatility\n", "r=0.025 # Constant Short Rate\n", "\n", "K = SO*1.1 # 10% OTM Call Option\n", "T = 1.0 # Maturity 1 Year\n", "\n", "M=364\n", "dt=T/M # Time Steps\n", "I = 100 # Simulation Paths" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "S=np.zeros((M+1,I))\n", "S[0,:]=SO\n", "for t in range(1, M+1):\n", " ran = np.random.standard_normal(I)\n", " S[t,:]=S[t-1,:] * np.exp((r-vol**2/2)*dt + vol*np.sqrt(dt)*ran)\n", "\n", "\n", "MC=pd.DataFrame(data=S, index=pd.date_range(start=stoxx.index[-1], periods=M+1))\n", "\n", "ax=MC.plot(alpha=0.2, color='k');\n", "stoxx['Close'].plot(ax=ax);\n", "plt.legend(['Monte Carlo Simulation']);\n", "plt.ylabel('\\$');\n", "plt.savefig('Monte-Carlo-Simulation-FXXP.png',bbox_inches='tight', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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uFovU1NRQV1dHe3s7/f39DA4OYjQa2b9/P8lkklAoRCqVYm5uDr/fT21tLWq1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\nulLMgCCIKxXWphPwZ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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Option Valuation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "VO=np.exp(-r*T)*np.sum(np.max(S[-1]-K,0))/I\n", "print('Call Value %8.3f' % VO)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Call Value 1.109\n" ] } ], "prompt_number": 47 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Vergleich" ] }, { "cell_type": "code", "collapsed": false, "input": [ "df = pd.io.data.get_data_yahoo(['AAPL', 'FXXP.EX', 'GOOG', 'FDAX.EX', 'TSLA'], \n", " start=datetime.datetime(2013, 1, 1))['Adj Close']\n", "df.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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AAPLFDAX.EXFXXP.EXGOOGTSLA
Date
2013-01-02 532.39 7778.78 285.33NaN 35.36
2013-01-03 525.67 7756.44 286.83NaN 34.77
2013-01-04 511.03 7776.37 287.83NaN 34.40
2013-01-07 508.02 7732.66 286.63NaN 34.34
2013-01-08 509.39 7695.83 286.25NaN 33.68
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 48, "text": [ " AAPL FDAX.EX FXXP.EX GOOG TSLA\n", "Date \n", "2013-01-02 532.39 7778.78 285.33 NaN 35.36\n", "2013-01-03 525.67 7756.44 286.83 NaN 34.77\n", "2013-01-04 511.03 7776.37 287.83 NaN 34.40\n", "2013-01-07 508.02 7732.66 286.63 NaN 34.34\n", "2013-01-08 509.39 7695.83 286.25 NaN 33.68" ] } ], "prompt_number": 48 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Returns" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rets = df.pct_change()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "fig=plt.figure(figsize=(6,6));\n", "pd.scatter_matrix(rets, diagonal='kde', figsize=(10, 10));\n", "plt.savefig('Return-Correlation-FXXP.png',bbox_inches='tight', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, 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MQ2xaqKhQuXBBZf58g127dMrLVRYsMMjLs4iIEBemmTNN2toUQkMhJ8ckJkYU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KAgmpubaWxspKSkhJEjRwKwatUqtmzZwltvvXV1v1kflppqcuedGnFxF95g8+drfPaZRV6eg6Qk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\n2hmoqoLLZS10B4X4ePN0Nwjr+6Oi4MorvRd9zubK7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Y4QIsBJkiaEaPTs2z5FO7obI6IN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\nzJo1i4yMDGbNmgXAk08+ydGjR7npppsYNWoUlZWVvgy3WYiJMRkxwkvv3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Z7uY9Gj2qGd\nOIBt73J/hyMC1EWL2fbv359Vq1ZRXl7Oxo0bKS0tJTQ0FF3X8Xg81UbBaqOoqKiqMXtkZCRFRUUX\nPAag63q1x/7ud7/jwQcfPO85Z8yYQfv27QGrKXxycjLp6ekAZGZmAsjtAL0thBAXZBjVk7SmSNVw\nDb6LkMV/xrnuDbzdxvg7IhGAFNO8cKGWV199ldWrV1f16AwJCaHl6R4PZWVl/PWvf2X69OkXfNLC\nwkImT55c7b74+Hh0Xefll18mJiaGBx98kLvvvpvevXtXPectt9zCF19YTXRHjRrF8uXWp4vnn3+e\nsrIyZs2aVe05ly5dSr9+/S71Zxd+lp2dLa9fIyavX+MV6K+dbf9awv95DXpUW0oe2dxkpwKVU8eI\nfCYZDA8lj2zCiG5fq8cF+usnapadnc2YMbVPyGscSZs3bx6vvfZa1W2n08mhQ4cA2Lx5M/fee2+N\nSVpcXFxVgnWuOXPmsHTpUiZOnMjmzZvp0aNH1bHQ0FAqKiooKysjJyeHpCSrie6SJUtYu3Yt77//\nfq1/KCGEEI2XY4u19tiTenOTTdAAzLAY3MnX49z8IY6st6i88o/+DkkEmBp/+/fv30+fPmfr0vTs\n2bPq65SUFPbt21fnk02fPp133nmHESNGMG3aNGw2G1u2bKnaRTpr1iwyMjL47W9/y+OPPw7AAw88\nwIEDBxg1ahT33ntvnc8phBCiEfG6sW/7BAB36s/8HEzDcw2xemM7N7wNXpefoxGBpsaRtLKyMsrK\nyggNDQVgzZo15x2rq/Dw8PO6FKSmppKamgrAmDFjzhsGPHdzgRBCiKbNtncFavlJ9Lge6PG9/B1O\ng9PbD8TbOhnb4W04tn+Gu89Ef4ckAkiNI2lJSUk1ltlYsmRJ1VoyIYQQor44NltTne7UnzXJXZ3n\nUZSzo2nr3vBzMCLQ1JikPfTQQ9x33318/PHHVd0FDMPgo48+YsaMGRfcaSmEEEJcMncZjh0LrS9T\nb/ZzML7j7nMzRkRr9Lie4HX7OxwRQGqc7pw8eTL5+fncdtttuFwuWrVqxfHjx3E6nTzxxBNMmTLF\nl3EKIYRo4uw7v0TxlONtPxCjRQd/h+M7jlCKH90MWt3KWomm76J10h5++GGmT5/O2rVrOX78OC1b\ntiQtLY2oqChfxSeEEKKZcG6wWiQ1y3VZkqCJC7hokgZW0dkrr7zSF7EIIYRoptSTh7DlrsC0OZvV\nVKcQF9N0C9AIIYRoNBzZ76GYJp5e12CGRPs7HCECgiRpQggh/MswcGy0pjpdA3/h52CECBySpAkh\nhPAr275VaCcPoke1w9tphL/DESJgSJImhBDCr5wbrB7R7gFTmnQbKCHqSv4ahBBC+I1SWoh9+2eY\nioq7n5R2EuJckqQJIYTwG+f6eSi6B0/PqzCi2/k7HCECiiRpQggh/MPrxpn1LwBcQ+/2czBCBB5J\n0oQQQviFPWcBamkhelwPvJ2G+zscIQKOJGlCCCF8zzQJWv0aAJVp/9U8mqkLUUeSpAkhhPA5W+5K\nbIc2YoS0wN23GbaBEqIWfJqklZaWMmHCBNLT0/8/e+cdHuV15f/PW2bUe0ESIEAguoSoNtWFYsB2\nXDDYEDtOcLIp/sUl2d1kN2XtfXY38W6qE9tx7NhxiR3buMUUF0SzKAIjmmgSogk1QDDqmpm3/P64\nICFLAvWZgft5Hj0w886975k5M++cOfd7z+G1115rdXzdunVMmzaNm2++mZKSkqb7GxoaSEpKYt26\ndX1prkQikUh6ieD1vwHAPf074AzzsTUSiX/Sp0HaCy+8wLJly9i0aRMvvvgiXq+3xfH/+q//4rPP\nPuOXv/wlv/jFL5ruf/HFF8nMzOxLUyUSiUTSS2gnduA4+jl2UATuqXLDgETSHn0apOXm5jJ37lxU\nVWXcuHEcOnSo6Vh9fT0hISGEhYUxZcoU9u/fD4DH4yE3N5fp06dj23ZfmiuRSCSSXiAk+ykAGqd+\nCzskysfWSCT+i96XJ3O5XERGRgIQFRWFy+Vq8xiAaZoA/PWvf+WBBx5g27Ztbc758MMPk5qaCkBk\nZCQZGRnMmDEDgJycHAB5209vSySSaw+9cB2OwnUiizbju742RyLxaxS7F9JTFRUV3HfffS3uS0pK\nwjRNnnnmGRISEnj00Uf51re+xdixYwGoq6tjyZIlrFq1CoCbbrqJtWvXcu+997JixQqeeOIJZs6c\nyezZs5vmzM7OZsKECT1tvqSPyMvLk/4LYKT/Ahef+c6yiPjjjehl+dTP/w/cNzza9zZcBcjPXuCS\nl5fXIo65Er2SSevXrx/r169vdf9vf/tbsrOzWbx4Mbt372bkyJFNx8LCwmhoaKCuro79+/czZswY\nKioqOHnyJAsWLODIkSOsXr2aTz/9lOjo6N4wWyKRSCS9iDPvDfSyfKyo/rin/ZOvzZFI/J4+Xe78\n5je/ybJly/jDH/7At7/9bXRdZ8+ePezcuZPly5fzk5/8hLlz5xISEsIrr7xCSkoK27dvB+DJJ59k\n5syZMkCTSCSSAESpPUPI6p8DUD//P8AR4mOLJBL/p0+DtIiICD766KMW940bN45x48YBMHv27HbT\ngP/xH//R6/ZJJBKJpHcIWfkT1AYX3vSb8Y5b5GtzJJKAQBazlUgCkFOnFHbuVHG7fW2JRHJlHHve\nI2jPCmxHCPV3/kp2F5BIOogM0iSSAGT3bo21ax2Ul8svO4l/o1YeJez9xwGov/W/sGIH+9YgiSSA\n6NPlTn9n40adM2cUFi70Ehrqa2skkvaZONEkNdUiJUXWDpT4L0r9ecJfWYbirsEz9g48U77ua5Ou\naerqYM0aB4mJNrNmGb42R9IBZJB2CWfPKlRUqHypEYJE4nckJ9skJ8sATeLHuGsJe+1+tDMFmP1G\nUbfo93KZ08cYBpSXq6iq5WtTJB1EBmmXsGCBF68XomQBbIlEIukySoOL8L/ei35yB1ZkMjVffxuC\nI688UNKrREXBAw+4cTh8bYmko8gg7RLkEqdEIpF0D61kN2FvPIR27hhm9ABql7+HHd3f12ZJLiCT\nEIGFDNIkEolE0m2UBhfB635F0NYXUEwvRnIGtV97QwZoEkk3kEGaRCKRSLqGtwH92Bac+1fi3PUO\nirceW1FonPotGhY8CY5gX1sokQQ0MkiTSCQSCXjqUM8Xo1aVoNSfR/HUobjrULx14GlA8dajeOpR\nvA3grkGrPIZaeQzFat4l6B12Iw3zf47ZP8uHT0QiuXqQQZpEIpFc44S9dj/OA6s7Pc5WFIyUTLzD\nZ+MZvwQrcUQvWCeRXLvIIE0ikUiuceyQaGzNiRU9ACt6IHZYHHZQGLYzHNsRAs5QbGcotiMUnCHY\njlCs2EGY8UNlD06JpBeRQZpEIpFc49R/5Snq734aVNmERiLxJ2SQJpFIJNc6zjBfWyCRSNpA/myS\nSCQSiUQi8UP6NEirqanh9ttvZ8aMGbz22mtN9z/++OPMmjWLRYsWMW3aNG6++WZKSkp46qmnmDFj\nBnFxcYwbN45f/OIXfWmuRCKRSCQSic/o0yDthRdeYNmyZWzatIkXX3wRr9dLXl4edXV1bNq0iW3b\ntvHUU0/xy1/+kl/84hf88Ic/ZOLEiaxdu5aIiAj+7d/+rS/NlUgkEolEIvEZfRqk5ebmMnfuXFRV\nZdy4cRw6dIjc3FzmzZtHfX09SUlJ7N69mylTprB//350XSc/P59f/vKXHDp0iG3btvWluRKJRCKR\nSCQ+o083DrhcLiIjRZPdqKgoXC4XLpeLtLS0pmMulwsA0zQB2LhxI7GxsTz//PP8y7/8C59//nmL\nOfPy8vryKUh6GOm/wEb6L3CRvgtspP+uDXolSKuoqOC+++5rcV9SUhJRUVFUVVWRkJBAdXU1MTEx\nREVFUV1d3fRvdHQ0AJqmATB27Fg2bdrE3LlzCQ5u3WJkwoQJvfEUJH1AXl6e9F8AI/0XuEjfBTbS\nf4FLZ4PrXgnS+vXrx/r161vd/9vf/pbs7GwWL17M7t27GTlyJF6vl+eff57FixdTUVFBVlYW27dv\nZ8yYMbjdboYPH47L5cIwDAzDaONsEolEIpFIJFcffapJ++Y3v8nf/vY3Zs2axUMPPYSu66iqSlFR\nEbNmzWLKlCn86Ec/YtGiRfz4xz/mscce48SJE2RkZFBdXc3PfvazPrM1JydHztsHc3eH7tolx/vW\nr76039evna/H9yaBdo0LtHm7Q1dtkuN67lydpU81aREREXz00Uct7hs3bhyfffZZm49/7rnn+sIs\niUQikUgkEr9DsW3b9rURXSU7O1uuywcwUlcR2Ej/BS7Sd4GN9F/gkpeXx+zZszv8eNlxQCKRSCQS\nicQPkUFaOwSaTkFq0uT4vh7fXaQmzXfje5NAu8YF2rzdIRC0XoEyrq/8K4M0iUQikUgkEj9EatIk\nPkPqKgIb6b/ARfousAko/xluUFTQHL62xC+QmjSJRCKRSCQ+x7nzDaKfHEzUU+PQSvf62pyARAZp\n7RBoOgWpSZPj+3p8d5GaNN+N700C7RoXaPN2h77UbCmuU2z/42Mohhu1ppywt78DltVr5+vrcVKT\nJrksLhd88YVKVZWvLZF0l9JShV27VNxuX1si6SiGAbt2qZSUKL42RdJN3G7wen1txdVH8JY/o1gG\nntELsaL6o1UcQi/a4GuzAg6pSQtQduzQWLfOwZw5HiZO7NivE38joHQVvciqVTr5+Rr33uth8ODA\n+They/4rLlZ44w0nI0da3HFH4H3DX8u+u5SaGvj7350kJ9vcdlvg+NHv/WfbRP5vFpqrmOpvr8Fx\ndBMhn/0C94T7qF/8rK+t8ymd1aT1accBSc8xfLiJqtqkpwdmgCZpZvx4k/79LVJSAidAu9ZJSrKZ\nP99LfLz0WSCjKBAUZBMUJP3Yk2hl+9BcxVgR/TBTJ2OHRBHy2S9wFGSLJU9VLuJ1FPlKtYO/6xSi\nomDiRIvIyJ6dty38UVsBvtf19NT4lBSbrCwLp9M35/cVgaxJy83NYdw4i/79u/blHui+uxz+fu28\nlPBwGDRoPbNnGz0+tz/6qK80W/qRjQBkkwmqipU4AjN6AGrtGbTyfL+xszvjpCZNIpFIJJJeRtNk\nYqen0U/uAMBMGi3uUBSMIdNbHJN0DKlJk/gMv9dVSC6L9F/gIn0X2Pi1/2ybqP8ZhVp7mqofbMdK\nGAZA0La/EPrhv+Aev4T6JX/ysZG+Q9ZJk0gkEolE4hPU8ydRa09jhcZixQ9tut9InQyAfkJm0jqD\nXwRpjz/+OLNmzeKxxx5rcf+TTz7JtGnTmDZtGuvWretTmwJJV9Gb8/b23N3B17qea318dwlkTVqg\nj+9NAu0aF2jzdoe+0GxpxTsBMFInkbN5c9P9Zr/R2HoQ2rlj0Fjtczu7O+6a0aTl5eVRV1fHpk2b\n8Hg8fPHFF03HHnzwQbZs2cKaNWt48sknfWilRCKRSCSSK6GVHwDATM780gEdM2G4+G/Fob42K2Dx\nuSbtueeeIyEhgXvuuYf33nuPkpISvv/977d4TENDAwsWLGDDhg0t7peatMDGr3UVkisi/Re4SN8F\nNv7sv7BXl+E8+DG1S/+CN/OuFsdC3/4uQbveou7O3+C57uu+MdDHBFydNJfLRVpaGgBRUVHs37+/\n1WOeeOIJvvOd77Q5/uGHHyY1NRWAyMhIMjIymDFjBtCcjpS3/fO2RCKRSK4utPKDAJj9RrU6dnG3\n58Vsm+TK+DyT9uyzz5KQkMDixYvbzKS9//77rFmzhj//+c+txvZmJi0nJ6dXgolAm7c35+7ur8Hu\n2iXHd298IPvP16+dr8f3ZiYm0K5xgTYvdN1/XbWpw+PctcQ8kYqtOXA9eYqcrbktxukF2US8vBjv\nkOnU/tNHvrOzB8Z19VwBt7tz6tSpZGdnAyLomjp1atOxvXv38uyzz/LHP/7RV+ZJJBKJRCLpANrp\nwwCYCemgOVodN/uNFI+rONindgUyPs+kATz22GPk5eUxfvx4fv/73/PII4/w9NNPM3/+fMrKyoiN\njSUqKooPPvigxTipSQts/FlXIbky0n+Bi/RdYOOv/nN+8Tph7z6CZ9wi6u57ofUDbJvoJ1JRPHW4\nflaEHRrT90b6mIDTpAH87ne/a3H76aefBuDjjz/2hTkSiUQikUg6ycVdm23p0QBQFMy4NPSyfahn\nizBTJ/WhdYGJz5c7/ZVAq50j66TJ8X09vrvIOmm+G9+bBNo1rqfnPXMGVq/WeffdzVd+cB/T23XE\n1MqjAJgXiti2Nc6KFxsFtbNF3T6fL8f11WfQLzJpEolEIpFcDVRWquzbpxEdrfjalD5HOyuCtEs7\nDXwZM04cuxjQSS6PX2jSuorUpHUPjwecTt+d3190Fb5+HQIVf/FfW5gmKIpsnN0e/uy7QMcw4NQp\nhcREm9DQjo9rbISVKx1ERtrMm2dc9rF+6T/LJPrn/VFMD+efOAlB4W0+zLnzTcJWPIwn827qlr7Y\nx0b6noDb3SnxDSdPKrz4YhD5+df2W+DIEZUXXwyioODafh2uJhobYcUKB6tWOQjcn6CSQEXXYfDg\nzgVoIIK7c+dUqqqUgHzfqlWlKKYHKyKp3QANmpdCZSatY8hvpnbwlf7h9GnYsEHn9OmenRegvp6m\neS1LwTDEhaEn5vYFPaHrMU3wekXmxRfn/zKVlVBT47vz9yW9Zb9tg9st/tr7suvJc589C7W1XR/f\n3fP7G4GiHfO3ecPDYdkyN7fd5kXppZXS3tRsqZVCY2bGDbnsOCvuEk1aOx9QqUlrRmrS/IxTp1Ry\nc3XCwy0SE60enXvzZp09ezSWLvUweLDF8uVuwsJ69BQBx4gRFv37uwlv/4dfn1FVBa+/HkRSksW9\n93p9bU7AEhICS5Z4+2S589w5eO21IAYOtLjnHukzSffwh+tQV1ErjwGX16MB2GFxWMGRqI3VKHVn\nscMT+sK8gEVq0vyMhgY4cUJl4ECrxwOofftUCgs1br7ZS3R0z87dFfxSV+FDGhth3TqdmBibqVO7\nkNrrY6T/RHY6O9tBv34WU6b4v88uIn0X2Pij/0JW/ZTgnGdpuOVnNN74+GUfG/HH2eglu6j+9hrM\nwdf1kYX+QUDWSZM0ExICI0d2LoNm21BdDVFRYtnF64WYNmoEZmRYZGT0bHZO0nVcLqFfufjrOTgY\nFi5se/25vl5khYKD+9BASQtsW5RXiI5u3mgSGgq33946g1ZVBZGR9NqylUTib1zMpJkXljMvhxU3\nGEp2oZ0/cc0FaZ1FatLawV90Cu1x+rTIugEcOKDy85/ncvCgypo1Dl57LYiqqh45DeC/+hdf63q6\nOr6uDoqL4X/+J5cPPnBgXSFubmiAt9928uGHjhbaOV8//+4SaHXSiopUXnkliLw8jZycHNxuqKho\nHYUVFKi8/HIQ+/a1f3kNdN9dDn+/dgb6vN2hNzVb2oWNANYlQVp748yYQQCo5090+Xy+HtdX/pVB\nWgBSUqLwl78EsWKFg/JyCAoSf04n9O9vMWiQJUtK+DEbNui8+WYQSUkmAwfaV9RNqSqEh9uEhbWd\nmamoUNixQ6O+vnfslQgiImz697eIjRUKkR07NF591cnx4y0dGBRkExxsdyrr6fHArl0qxcUy9SYJ\nQCzzkkzakCs8GKzYC0HaubaDNEkzUpMWgLhcsGKFE7dbYfRog5tuMrGswKsJ5Y+6ir5g1y6V48c1\n5szxEhHRsTGWJQK0toK0det0duzQufNODyNG9N1y9rXqv4scPCiKlt58s5f4+JbHOvt5LC5WeOMN\nJ8OHW9x1V+9vQLjWfRfo+Jv/1PPFRP3vOKyIflT9+5Wbp+uF64l4aRHeIdOp/aeP+sBC/0Fq0q4B\noqPh/vs9HDqkkJIiYuxAC9CuZcaPtxg/vnPB1OX8O3asQUyMyKBK+o5RoyxGjWr7Ne/s5zE52Wbh\nQi9xcQH7m/mqoK4OamsV+vWTfugMTe2gOqBHg0syae0sd0qakV/t7eDvOoXgYMjKsklM7Nl528If\ntRXge12Pv4xPTBSBX2c3Ffjar4GmSevN8bouNvZc/NHV2+fvTfz92nm5eT//XOf1152UlXV/2dkf\nfdRbmi21DT3a5cZZUQOwFQW1qhTM1pljqUlrRgZpEolEIpEAKSkW6ekW4eEyk9YZmjYNxHcsk4bu\nxI5MQbEtVNepXrQs8JGaNInP8DddhaRzSP8FLtJ3gY2/+S/stftxHlhN7dKX8Gbe2aEx4X++Dcex\nLdQ89B7GsBt710A/wie9O03TZOXKlSxZsqRL4x9//HFmzZrFY4891uL+l156ibS0NB544IGeMFMi\nkUgkEkkP0+lMGmDFDgZAPXeyN0y6auhWkLZ7924ef/xxUlJSWLZsGQkJnW/vkJeXR11dHZs2bcLj\n8fDFF180Hbvjjjv47LPPumNil/F3XcX587BmjU5Rkdo0r9vdI1O3wh+1FeB/uqKujne7RVmOvLy2\nP46WJUo09Nb5fcXVqEkzDMjJ0cjN1QDht7bWKgLdd5fD36+dgT5vd+gVzZZlNZXSMC8EXh0ZZ8Wk\nAm1vHpCatGY6HaRVVFTw61//mnHjxjF58mTy8/Opq6tj7969PPPMM502IDc3l3nz5gEwZ84ctm7d\n2nQsLi4OTdM6Pee1QGWlyt69GiUlQuBaXKzy4otBFBZKmWGgUV8Pu3Zp7N/f9nt982aNV15xcu5c\nHxsm6TSNjbBrl86+fRrl5fDyy0Fs2yavYZKrF6WmHMXbgBUWB8GRHR5nXShoq5073kuWXR10qgTH\nwoUL2bBhA9OnT+f//b//x913301cXBzJycmEhoZ2yQCXy0VamkiRRkVFsX///k6Nf/jhh0lNFRF5\nZGQkGRkZzJgxA2iOdLtye8aMGd0af7nbF+nOfGlpFunp63C7bWAGEybM4PnnN/HFFybp6dN61N7e\nut1dujuPv4yPiYH77vMQFNS2PNQ0FUxTaZWR8bX93cWX9vfWucPDYckSD6pqY9tgmm1n0gLdd5ej\nt2yT83afrtp0uXEXgyyrjSK2lxtnNpXhaL3c2Rt29vS4vvJvpzYOhIeHk5qayje/+U2WLFnCgAED\nAEhOTmbPnj0kXqwH0QmeffZZEhISWLx4Me+99x4lJSV8//vfbzp+4sQJfvrTn/Laa6+1Gis3DrSk\nro4ONWWvqFCwLFGbqbERDh1S6d/fogur1d3C38SvfYFtw8mTCpGRdqv+ql6vKJCakGCTnNz8sTRN\nsWwWEtLHxl6Ba9F/FykvF0HzpX5qi/p6US6nvbppFz9/KSkWXbh8dplr2XdXA/7kP+cXfyPs3e/j\nzlpM/b3Pd3icUlVK9C/HYoXFU/XTgl600L/o1Y0D5eXl/OhHP2LlypUMHjyYadOm8dvf/hZPW4KZ\nDjJ16lSys7MBEXRNnTq1xXFfbT4NNJ1CTk5OmwFaaanCtm0atbXitscD77/v5N13ndTXi2XSTz5x\nsndv+0lVf9RWgO91PV0ZX16u8PbbTjZudJCTk8Px4yo7d6p4PMJXa9Y42Lmz5fKYprUdoPn6+XeX\nQNWk1dfDs89u5dNPr9yKKzS07QDt4vlPnVL55BMHe/Z0rq64r313OQLx2hlI83aH3tBsqRczabGt\nM2mXG2dHJGHrQah1Z8Fd2+t29vQ4v9SkhYeH8+CDD7Ju3TqKiopYuHAhzz33HOfPn+drX/saq1at\n6rQB48ePJzg4mFmzZqHrOpMmTeKRRx4BYOXKlTzwwANkZ2ezePHiTs99tZKbq/Hmmw6qq6/82CNH\nVPLymrVrDgdMmmQwebJBcLDo9Tl7tpcxY8wrzCTpLIYBq1Y5WL1ab2qMHhVlM2WKyciR4o4vvtBY\nu9bBmTMKSUk28+Z5yMw0fGi15EqcPKmSl6fjdqstCgjbtsiMdYaLn7+xY+XnTxKYNDdWH9y5gaqK\nFT1Q/Pd8cQ9bdfXQI3XStmzZwiuvvMI777zDuT5UN1+ry52ffKJz6JDGsmXuKy5RfvihzuHDGsuX\nu1v1F/Q1/pSy7w3cbnjjDSeqCkuXetpsel9aqnD+vMLIkRamCR9+6EBR4I47vDgcfW9zZ7ja/dce\nRUUqf/mLk9mzDWbPbg6o8/JUtm51cOedHvr39+/yk9eq764W/Ml/EX+cjV6yi+rvfIw5aEqnxoa/\nvBhHQTa1X3sD76j5vWShf+GT3p3Tpk3juuuuIzMzsyemk1yBG280uP56g6ioKz82OBji4myCgto+\nfuYMVFWpDB1qtdm8W9J1goJg8WIhBWgrQANISbGbWgGZZvuNuW0biooUoqNtvwu2rzWGDrX4539u\nJLLVRrbmzR11daJp+qBBtt9pCSW9h8cjViuupWupeu4Y0Fz3rDOYMYNwQFMJD0lreqxeg9frbVqm\nvBrwZ51CUBCtArT25p092+ArX/GwYYPO4cOt3b1pk4P33nNQXt7+VcUftRXge01WR8aHh4u/jox3\nOuGuu7ytsmilpQqvv+5g3TqdnBxHu+M7i6/9GqiaNIADB3LQv/QTd/x4k4cectO/v82BAxobNzp4\n7TUnZ870/Pl97bvL4c/Xzt6ct7ISXnnFyZYtWo/O25P0tGZLqT+P2uDCdoZhh7de1rnS+ax2dnhK\nTVozPVpUK4A7TF0V1NSIIreXoutQX69w6JBGaWlrd2dkmMyYYRAbe+34zjBav07+gtPZOut29qzC\niRMq/frZHdIuXUnMHsjYNpw713ZZC1+jKM0bPFJTLaKjbUpLFc6da/25M4y2CxRLAhfLAq9XlMu5\nVriYRTPjhnQpfdhU0FbWSmuXHuvd2djYSGhoKJZl9cR0HeJa1aS1xfHj8Pe/B+F2K3z3u40ttvPb\ntsjGREfbHSrR0Vf4SleRm6uxZYvOXXd5GDzY99/22NYkrwAAIABJREFUtg3btmm43QozZhitMjSG\nAWVlYmPBlXRq+fkqGzY4uPVWL0OGWNTVwb59GoMGWVcsF9FZfOG/AwdUPv7Ywbx5XsaO7btrTVdw\nu+HMGYWUFLvFErbbDe+/70DXYdYsL0VFGqNGmURH951t/qRpupqorxcrHb1dg91f/OfY8x7hf/8m\nnjG3U3f/K50er5XsIfKPN2H2G0X1Y5t7wUL/o1c1aUePHm33mLu3ehJJLktjoyijceiQQkWFSmmp\n0rST8CKKIuo51dWJ2x6PuIhcq80cwsJsoqJ6Ryt08qTwQ2am2a4OsLZWaAXLyhQiImzCw+HgQY36\neoVJk4xWy6OaBv36XTlAg9Y/ZouLVTZudDBlikFycuDvGg0JgYgImy7Wzm7C64W9e1ViYiAtrWvB\nnmUJX0ZGQkMDVFSIeoMX/eR0QkKC3UpjqCjNfydOqGza5CAkxCYry7+DTsmV6e77MtDQLurROruz\n8wLmhQK46rnj4tfqtSTm6yCdWu4cNmxYu39jxozpLRt9wpXWm+vrRfbj5MnOval6eh37wAGx0+yT\nTzYzfbqX3/ymgeTk5uP796s895yTt97S+dOfgti3T+GNNxx88knH43N/1FZA1+0aO9Zi+XIPhYWf\n9/j5d+7UWbdO5/Rp8b4oKVF49VVHU7uu8nKFl14KYu1anV/9ahsbN4qMyp13erj9djcOh8icXaSm\nBv72Nwe//72TPXtaflzbOv+YMRbf/KabIUPEF/7gwRYLFnjIyGgdoPnar105/5AhFt/6loe0NKtb\n9q9Zs5nsbAc7dmi43fCPfzjIzu7cZ2LvXpWXXgri4EFR5uZvf3NQUKBy+LDKe+/pbNyo8dJLTvbt\nU9m2rbmmmtMJ/fqt5447vIwYYTF/vof09M4FaL723eXwd+1YoM/bHXpas6VWHgfAbKNGWofOFxyJ\nFRqL4m1AqSnvNTt7Y1xf+bdTmbS+XMr0d8rLVTZu1MnKMklN9V2Gol8/mwEDTKqrLaZMMejfH4qL\nYdUqJ+PHe2loUDh1SiU01MYwbPLzNUpKVOLjpS97g6lTDdLTFVwu8HhUTNPm9GmV6mqR3tQ0m6oq\noTMbNMhk2DBxf12dQna2Tn29QkqKxa23GlRUKNTVwfr1TmJjTVyujv0guLR2V3AwZGa29PWJEwrb\ntuk4ndfur9aYGJvbb/cSFWVjGFBaqhIZabW7uxbg8GEVwxCBMIhgy+GwKShQOXNGwTCgocGmsVHl\n6FGV0FDxuMJClTNnVKKjbUaOFPfpuviLjIRx4ywqK2H1agcZGWbTYyQSf0dtqpHWdpDWEay4NNT6\nc2iVxzEik6884BpDe+KJJ57ozgQul4uDBw8SFRWFo48LOx07dozk5N5x6sV+oO0RHm6TkGAzbJjZ\nqRT3lebtKKYJhw4p1NSIbf8FBUMJDoZBg2w2bNApLlbRdRg0yGLNGgfJySb33uvlwAGVm24ymDbN\nbPfLqLds/jJlZWXd8l9H7SorUzh5UiU2tuXSU3efV1vjq6sVjhxRyc/XKC7WmD3bZMQIk8GDxbnr\n6kBRFM6dU1i2rD+DBokej+fPw9mzKocOqQQFKZw9K7JykZE2N9xgMHmyl9RUm8pKhchIsSrQVfuP\nHRPFWK+/fgCJiV3XqfWV/7o73uUSrZciIuymTRmDBqWSkGATESGCreHDTUaNstpdoj59WtSwq64W\nS9TjxqUSGWnj9drk5mqEhNgYhorDoTBzpsHw4RaZmRYDBpiEhFjk5DiwLMjIsNq0/fRplS1bdOLi\nbFJTr+yT7r523fXd5eit64Wct5mu+q+rNrU3LuTT/0bx1NI499+wQ1rXhOrI+fSiz9ErDmAMmYaZ\nktErdvbGuK6eq6ysrKlfeUfo1HLnU089xbvvvtt0++OPP2bgwIFMnDiRgQMHsm3bts5MF9A4HDBq\nlNUnNavaSmBWVCjk5Oj84Q/BHD6so2lCf7Rzp8LRoyqxsRb792s0NChMmmRiGCr19bB8ucG4cXYr\ncfrVTG6uzsqVDsrKej9zdOyYyq5dOunpopK8oojMzMmTKrYNa9c62L1bY+5cL7GxYsyqVTqvvhpM\nXJxNZqYQ+9fUqOzapbFrl05qqsWIEbB9u85bbzkpLe3e88jIsPja1zyMGmW1+d662jhwQOOTT5wU\nFbV/uYuMFH1vT55UOH269fHychWvV2HrVp21ax3YNmzapPHBB0EkJ8MttxiEhopgS9eFBtQ0hb83\nbnRy001eRo1qf2fu4MEWDz7oZuJE2XlAEiA0VqPWlGPrwVhR/bs8zcUs3MWlU0lLOhWkvfTSS4wd\nO7bp9ve//30eeeQRqqur+cEPfsC///u/97iBvsLXOoXKStixQ2XdOo3XXnPicon7a2rg448VDhxQ\nyMz0smSJm0mT3MAGtmzR2LNHp7hYY8AAi/R0i379bFJSLLZt06iqUsjN1TpdfsIftRXQcbsmTDCY\nM8fbKmvU3ef17rub+eADB6dPi2xNSYlCZqbJnXd6mTbNZNAgm5oaWLHCyWuvOSgpEbW0brzRICWl\n+fylpSrHjimkpJjcdpuXBx/0MGyYwbBhFrYNW7aovP++g4EDTcaPN4mKsvF4YMOGjtlfVSWWOC/u\n49Z1SEqy+fDDzfz5z04OHhQB5N69KgUFPVqV57L0Va2w9HSTG27wMmhQc0R66djz56G0VPz73nsO\n1qxproFy5ozIoIWHW3zlK27uvNNDfLzFW2/lcP68ytmzkJZmMnAgLF3qZtEiN2VlsGePiqqKH3O7\nd2uEhtoMH972+UFkxnNzHaxe7WizNEdJCeTkaBQXd+65+wJfXzuv9nm7Q09qtrSzRQCY8Wmgtr0L\nrSPnu1gE9+ImhI6O6+r5emqcX2rSysrKGDFiBACFhYWcOHGCH//4x4SHh/PDH/6Q3/zmN71iZE9R\nVyf+Li1P4a8UFooyEfHxFrW1zTs29+1TWb3ayblzKrff7mHIEJP33w8mKspmyBCTAQMskpM9fPSR\nzv33e/jgA525cw2yskxqamzWrnXgckFsrI3LpTJzpnHV70hKTe3YEtLlOHJEZLZuuEFkwM6fh/Pn\nFaqrFRRFJz9fIyHB4u67vS00RceOCd8NGGBRVqaQm6tz552iRVRjo1iKXbrUw+TJKq+8EsScOSZT\nphhs3uwkKclk0CCTbdscHD+ukZFhMGeOgdsNK1Y4OHpUJytL7P60rNYFji+yZYvOvn0aS5d6GDiw\n+XXwehUaGxXcbhHIffyxg3PnFO6/383Ysb4vTdJTJCRAQkL7GarPPnNQVQVut8KYMSZJSc3PvbJS\n5eBBhbNnHXi9CpmZHj7+OITYWJXkZHj88UYSE22ee87JhAkGgwZZvPxyMIYBSUluxo/3Ylk2u3Zp\nFBToTJ5stFk6xLahulrsEv1ydtPrhTffdLJli84dd3i4557A36UrCXy0M4UAWAnp3ZqnaYdn5bEr\nPPLapFNBWlhYGFVVVURFRbF582YyMzOJiIgAQFVVDMO/Lx4bN+ocPKjx1a96WlyI22LGjBm9YkNH\n5x050qSmRqGiAmbM8BAXJ+4PC7PJyjLZvl0Ilf/yl2Cioy0GDbqBkyehokIjMtLkllsMNmxw4naL\nJbhTp1QmTjTIyjIoKRGZm8ZGhYkTrxyk9dZr0RHKyxUURWyQ+DLdtasz48+eVTh2TGXcOJXiYpt1\n65zcdtt0IiM9bN/uwO1WSE+3mjRPNTWwd69GSorJ8OEmBQUKBw9qbN0qymEMGGBRX38Tf/mLyowZ\nXhobFUpKVKqrLSIi4JZbvBw8qFFaqjB0qHgv1NaKuS+WUOnXbyYrV0JNjYKmieAqNFQcP3BAJS7O\nJixM6CYdDiGWb34+MGjQTGbNctOvn1iSnTvXyxdfaBw5ojF2bO9/ljvz+ldViaB40CC7aZd+d/w/\nadKMph3/w4ebFBerHDigkpBgN+nGAFTVZsAAi5ISjePHFUaPhokTvTQ23kBOjs7w4RYul8WBAxrh\n4RbHjilERlpkZJjU1sLGjU7q60Ujda/XoqrKpra2te26Ltq3VVQoNDaKzJppimXYM2cUhgyxSU72\nYBhiM4kvP5NXwtfXzqt93u7QVZvaGqeeOQKAGd9+kNaR8zUtd16SSetJO3trXF/5t1NB2oIFC/j2\nt7/N0qVL+dWvfsVXv/rVpmN79+7tVaFkT5CSYuH1KoSF+WeW4Px5oSsLCbFIToaQEBPTvLgLTyyd\nFRWpnDljM3++m3PnNIYM8TJ6tM077zgZOtTC6wWXS8PjEZXZb7zRS1CQ0DOFhlqMHm0QE6OQmmoT\nFKT4dR/I+np4910nmgbLl7vb7X/ZF4wfbxIcbHPqlEJQkE1amkFIiI3LpTBrlpebb/ayY4fK008H\ncccdHpxOoRmcOlUsefXvbxMcbLNkSSOJiRZHj4qdgKGhNl98oaHr8M//3EBYGGzdqnH8uEp6usHh\nwzonTigUFGjs3q0TG+vl/HmFoiKVMWMMDAOCg1XCw5vrc5WWKnzyiYOYGJvGRtFqas6clkFXYaHG\nF1+I98TFIrfjx4v/h4b63+ejvWzgpVRXC+3f0KFWmzXw3G7Yvl1D08TS7pQpBiNHivpk48ZZTJ1q\nNOkE9+1TKS5WGT5c/IgJD7eYMgXy8x0Xrh8WY8daWJbNihU6w4YZREbafP652PF9880mR45AXJxF\nXZ3KZ585mDDBIDtbo7zcYvp0g+joljtxQ0LEe8XhgFWrHFRWqtx/v5vDh0XgvGCBh8REOyBWAiRX\nP02ZtMTuZdLs8ERsZxhq/XmUhqo2NyBcy3RKgPKb3/yGkJAQfvrTnzJ16lQef/zxpmNr1qzhvvvu\n63EDe5KsLIs77vByIfl3WXyhU8jN1fnjH4PYtk3nD38IIj/fSXq6xahR4pf98eNQVKThcMCxYxor\nVjgZMEDoaXR9A9dd52XoUC+jRokl0owMi9JSlcJCjbg4C8NQeemlEKKjITW17exUZ23uTYKDYeJE\ngwkTjDYLuXbGroIClddfb9mjtDPjTRM+/dTBypU6n3/uxDBUNm3KYcMGJ6tXO3A6weNR2LNH4+OP\nHQwcaPGVr3gJDbVZv95BQYFGfr7OiRMaBw5obN+u8Ze/bCEy0iIx0SI62mL/fp0PPhA7c0+fVhk0\nyCYpyaKxUWHePC9er0V+vkZVlQgwTpz4nJwcUZMtK6v5NYqPt5k3z0tmpklMjEVwcGs/jx5tUlq6\nie3bHU1FjkFo1U6dUnjhBSf/+IdObybHO/P6Dx1qMXGi2SIbeHG8ywVvveVgwwad1auba9J9mZoa\n8WMlP1+jouJztm518NZbTo4cUVEUiI9vLr+xbZvQgpaXa9x9t8Htt3txucSSsNercOTI5+zapbJv\nn8q4cRbBwbB/v0ZQkEJsrM3u3fC//xtCfb3CokUepk/34nRywZ/w61/n8uqrQmvq9Ypz3nCDwdKl\nXsLCRBHcpCQReGdkGCxY4GH4cKtpBSAnJ4fNmzXeeael/0Do4TZt0n3WdirQNF6BNm936FFN2pkC\nAMz4Yd07n6JgXuzheSGbJjVpzXQqSFuzZg0vv/wy+/bt44UXXiD4kp+BP/vZz/jJT37SJSMef/xx\nZs2axWOPPdbi/tLSUm6++WamT59OdnZ2l+YOFKqrISzMYsECg8REkQFJSTEvfHkr/P3vDiorNUCh\noUEjLc1i7lwva9Y4qK/XGD7cJDTUoqZGZEhOn1Y5fFjcf/68RWaml8JCFdsWc3+ZkhKl04V5extV\nheuvN5kyxex2IWqXS6GsTKW2tmsThYSIJcjFi70MGGChqhAXJ4K3Y8dE6YzCQp3lyxsYP97k2DGF\nkSMtYmMthg/3MnCgSXm5QlyceC6nTmmMGiUynyNHmpSU6GzerJOQAJmZXu67z019vUJUlAji9u7V\niIlRKCrS2btXZ9o0oT+87jqT/HydgwdFUvz0aXj99SAMQ+G660zuvFNEWQ0Nzc+lvl5ooGJibMrK\nVLZs0Vp0qTh6VGPvXo3iYrVV9wpfMXy4xezZrbsxADQ0iKVigOnTvQwc2PaW1fh4WLzYw913e0hI\nsDh+XEXTbE6cUJsCJYDjx1UqK1WWLvXQv7/JgQPw5psONM3me99rJCjIy5EjDsaPNwgJEbrEceNE\nG66iIhFgFxeL5WZFEbtGi4t1Xn45iMGDLUaMEL1ynU6b7dt1Xn3VSVmZ+BFWXQ3vvuvAMEQdt+Bg\nYXdmptUi6waiZEtZmdoqGNu7V2PnTq1peVwi6XEss6lGmpnQfpDW4eli5Q7P9uhU786IiAhqamp6\n1IC8vDz+9Kc/8ec//5nvfe97LF++nEmTJgHwyCOPsHTpUjIzM7nttttYv359i7FXU+/O3FyNDRt0\nZs70EhUFCQkWO3boHDigMWaMwYoVQXzve/V4PCqHDokv0Ph48SWvKDbV1Qrx8Tbnzmns2KFz//2N\nmKZFZaVOZaXKkCEm8fEme/bojB1rM2eOQXU1rF/vYOxYk40bHXi9YlnxzBmV4GC7x3s9fpm+7D8n\nloGFiLyrGAbs2qVSUSF2caamisLBLpeCothkZwcxbZqX3/8+mEmTTL7xDTf79qk880wQI0eKYOuG\nGww++sjJu+86efTRBpxOi6oqkeERwnObI0ccjB5tkpurM3SoiW3bpKaapKUJ/ZllwYgRwje1taJf\n58XscHS0zfvvO5k40SAkxGLnTgfHjqnMmmUwb54I2D76SJQjGTjQ5MABjfh4m6VLvU3LyefPi6Xy\nxEQum3X2l/6BIHZDh4U1Lx96vUI6kJhotRPYwenTCnl5GgUFGvffL3Sqpgm7dyvs3OkgPd2gpEQn\nMtKkrEyhvl5j5UoHX/96I2VlcN11Ji+8EEJ0tM2ECR4yM028XpV333UwZIjJ9OkGBw+qOJ0KY8ea\nHDumMmCAxZgx4gfIgQPi82eaKklJJh995OR732tk61axgeOuuzxMntx+jZSGBqE//PKGkbNnxSaI\n/v3b//z6k+8kncfX/lPPHSfq/yZgRSZT9W/7uz1fyOqfE/z5H2mY91Mab/pBD1jov3S2d2ff7bdv\nh9zcXObNmwfAnDlz2Lp1a9Ox/Px8pk6dSlhYWK8EiP5EWprJTTd5KSjQWLVKFL5MS7MYM8akXz+T\nuXPdrFsXxMaNOpMmeWlsFL0C09K8hIUpGIaoat6/vyjLoWlCf3f6tMrevRrBwaAoKunpFhUVcPCg\nSk2NyokTKi6XwrRpHq67zmDHDo21a8WXUcfD98Dg3Dm1Q+VH1q3Tef99R6uMY1GRyt/+5uTgQZ3a\nWvHR2b1b59e/DuHwYZ1589xYlk16uklUlEV5ueg8MGCAzdChJoWFOq+/7mD8eC/Llzdw5owCKISF\nQVqaQmOjzubNTsrLISbGYuRIk7o6hc8+CyI6Gg4f1li3zsGOHTrbt6scP64SHg7XXy9q4q1a5UBV\nbb7xDfeF3qEKoaFinuhok7w8UTIiPt4iKcmirExl5EiTu+7yttD7xcTA0KGXD9D8jbi4lvquI0dU\n3nnHwZ49GlVVopjtxfbC586JshgRETZDhtgkJFh4vTarVun84Q9OTpzQOHtWbFjJyVEpK1MYM8Yg\nJcVkwAADRRGat8JCnfnzPcyd6+HZZ0PYu1d8brOyDCxL5Z13gggKUvn0Uyd5eSIT/tlnQZSXiyDt\n/HkNXVe46y43iYkmCxZ4UFWbJUvcjBljoqqXz/qGhLS9ozc+nssGaBJJd1FPCz3a5ZY6O0OLHp6S\nFnQqSDNNk3Xr1l32r7O4XK6mHaJRUVG4LhYEu3C+i3z52EUefvhhnnrqKZ566imee+65FuvEOTk5\nXb598f89MZ9tiy/4lStzeO6559p8fEICeDybCA/fyNy5XuLjobh4E4cPbyQ720FSksWWLZ9TUvI5\nhYXi4h4UtJ6jR3MoK1PYvDkH297I0aM5fPqpTn6+k9Wrt1JUtImpU72YpsWKFVtYv34LYWFiyTM/\nfxMjR2YzcaLJuHE2Bw58zttvbyUhAaZNM9i8OafN16QnXt+eoKNzNTQIjdHatRp5ec17Zdob73IJ\nAfqX324JCWI5esECLykpFm+8sYWkJBNdF5s6/vrXYA4e1Ln7bg8lJQqlpQoHDmjMn+9h0SKD6dPF\nktg//uGkoUEhN3czRUVi2bO4WMGybMaMcTN5ssmePSJQSEgwCQ+3qKlR2blTb8qAffaZg1de2UJJ\niSiqmpVlNL1vjhxRefnlIMLDLaZPNyktVTl40MGGDQ4OHdKYOtXkK18xOHt2EwcO6E3BS1/Tm3XS\nTBNGjLAYOFAsFX/4ocgoAhw9qvL661s5dkxF123Onxc/VIqLVerrFWJjLaZN83L2LMycaVBcrFJQ\n4AAMbrzRwONRcLk2ceSIyqefOoiOtnn00UZMU+yqraxU6dfPYswYg379TK6/3svmzRqFhaKgdFyc\nsP2660zuvdfDoEGiMfc77wTz0kvBxMTAffd5L1vY1h/1ThcJNI1XoM3bHXpKs6VVHADATBrVI+ez\n4kQFfvXskU6N6+r5emKcX9ZJa2xs5KGHHrrsY44d61ytk6ioKKqrqwGoqqoiOjq66Zh6SQ+f6upq\nYmJiWo1/5pln2p37y1tkfXX79GmF995zMGDATWRkdGT8xd6Aszhzxoll2Zw5o/KTn0zh+edD2LpV\n7CpcsGAmO3ZoVFRozJzpZcyYGZimwoABXk6c0Fm4cDolJUKzEh0N8fE3UFSkUFJicuoUhITczIwZ\nBkFB4nz33DON8eNFdi4yEkDYs359DmfO9Pzr01ccPqyyYYODUaNM0tOvLLKKjrbJz1eorFRJSmpe\nboqNFZXlAV55xcEbbzj55S/h0UcbOHJEZedO7cKysk18vCg4m5Ji89//HcIPfuCmXz+TbducxMTY\nTZsioqMtamogMdFi926dwYMtPvjASVWVSkKCyfLlIjO6e7fO6NFeQkIs1q4NIi3NIiTEJD9f4/Bh\njVtusRk/vuXSmG0rxMXZXHedSVychdttM2iQfcnzsQkPb78VUqBSWQmffOIgPt4iNdVG0yzAICVF\nvD4jRog+tyNGWISGinpmp06pVFSoZGV5L/Q1hVOnVOrqFLxemwkTvJimzqFDOnV1ClVVGosXG5SW\niky1aSoUFmpMnuxh+3YnQ4aYjBljsnatkxtucKOqopRGerqJrov6eDU1ImBrbBS10RYscBMZKdpU\naW3XBpV0gzNnoK5OZfDga6DNRi+jlYklTjNpTI/MZyYOF/OePsxVt4TTTXyuSdu1axfPP/88f/rT\nn3j44Yf5xje+0aRJe/TRR1m6dCkZGRkBrUnzeCAvTyMmxmbEiCtfIEwTtm9XOXZMZeVKJ5MmmcTH\nWyxY4GXvXg1VtUlMtDlyROHsWY2iIpW6Ohu3W8PlUli2zM3atU5uv92NqlqsXBlMWprB8OE24eFC\na1Zfr7Bvn9pUGb89zpwRS0NHjmjcequ320VhL6WvdBVnz8L+/TqjRhntli9obIRduzQSEmzi4ixO\nnVIZNqztUg4AK1fqFBaqLFnioX9/Idj//HOd8nKF2bNNHA6LN98MorFR6NXmz/cybZrFZ5+JbE1i\noklCAmzcqLFzp5OZMw02btRJSjIZPNgiIcGmvt5mxAibHTtE26hFi9xUVkJpqU5qqgg4d+zQWbjQ\nYNYsA0UR+rSLQWJ7tvcUvtbFtIdhwM6dYjlz9Ojmz5tlwe7dom3Tl5vO19aKLJjLJXbpgk1IiH0h\nuBIB3NatGnfeKXYY5Oc7iI01MQzYutXJ0qVuqqth8GCDykqNigqFU6d0srN1fv3rOg4e1Fm71smk\nSV7S0iyOHdMYM8bk1lsNTp+GV18NYuhQg7vu6pudGv7qu97kzTcdlJSoPPigu1vaVH/A1/6L/N10\ntIqDVH/vM8yBE7s/oW0T/eRgFHcNrp8cxg4PcAddhs5q0nzewXH8+PEEBwcza9Ysxo8fz6RJk3jk\nkUd4+umn+dd//Ve+9rWv0dDQwH/+53/62tQu43TCiBFmh8sZNDSIwCguziQry4tpKowfL5aybrrJ\nZOdOhZ07NQxDLHUtXOghLMxCVTWyszU0zeLRRxtQFIUPPnAydqxJXZ3IkNXWijpaU6eK0h4VFaIo\nblu9PMVyjk5ensb06Ybf1pdrj82bNerqFG680eCGG1q++KWlorjsuHEGp0+rF5YEVVJSbBYtsoiJ\naTuYrq0VQcCCBQbz5tGk5UpMhMxMk9BQrUmsHhQkMp433uihf3+b7dthw4YgBg8WtbfeeMNBZqZF\n//4mKSleFiww0TSxa2/cOJMTJxTeeksEcPfe28iQIRZBQSpz5zbicNjs368zYoTF2LHmhcyPwqef\nOkhPF50PrkbcbhGAxcW1/4OntFTh7FmFsjIFpxOGDROPq6+HnBzHhb677hZlXcLDRfmRjRudDBxo\nNr0n7r3XQ0yMSWIiJCbaeL0qERFCP1pZqXDihM2DDzYSHGwTFSV+EI0ebVJYqJCR4SU11cQ0RdHc\nhx4SIseyMo26OlFEF8R75957PQH3+Qo0srJMBg2yLqwSXJ6GBrEsPmCA1W4nj2sWw416phBbUTD7\njeyZORUFM3EEevEXaKcLMK7iIK2zdEqT1omkW6f43e9+x6ZNm/j9738PwNNPPw1A//79yc7OZsuW\nLcyZM6dXzt0ePbnebNvw4YdO3nwziE8/vfK84eFwxx1eGhtVqqpUpk41yMgQGbbCQpGVe+aZYIKD\nxdJNeLjF5s3bePttJ/Pne3nxxWD+/ncnb7zhwOFQGDzYIDZWbOHftMnJ734XQkGBqLD+2mtO8vPb\nfhuEhNhER9sMGLCeOXOMpq4H/sLlfGRZcOSIRmGh1ma9qOJilffe28yZM2ITxb59KjfcYDBrVvvB\njWXB++87ePPNIGpr4dNPNzdl5mtqYO1aJ7W1YlnU6YTrrxdf0rm5QTz9dDAbNgQRH2+Rlmbw8cc6\nmraRiAiLqVO97NzpJCfHicOhsHGjg3ffdbLNOMZGAAAgAElEQVRypYPISJt9+zTOnVOxLPjOd7zM\nnGmRlWUTFbWeBx5o7p6RlGSzYIGX667r2K8BX2tmunJ+l0th82adPXu0dscfP66ycaNOaanK2bPN\n4vvwcPjKVzzcfruH3NzWYwcOtFm6VARLubkOnE6x+1NoDVXy81VWrHDicmns3Pk5ZWUKsbFiY0Fe\nnk5yMtTVKZw9qzJ5skVBgQPDEEvekycb3Hijyfz5Jnfc4eH667NJT7dbnPtiId2O4GvfXQ5/0Hh5\nvaLDzPbtzevGo0ZZTJtmtlreb2vewkKxirF/f9fXnf3RRz2h2dLOFKJYhtCROcN67HwXlzzV04el\nJu0SOpVJq5WFd7qEotC0U6+jWpOUFLEkc+SI1tS2KS9P45VXHFx3ncl99zVSVqayY4fGxImii4Lb\nrXD8uMZtt3lwOlWKixVOn7aJiFD5+tfFF/f06V4SEy369bOor1cYMsQiNrbt4Lt/f5tly7zk5Bjt\nVnn3V1QV7rzTg2HQZgmGMWNMrr/e5Px5jQMHdG65xdNqCexS8vPFbsrUVIvaWptDh1Q+/lhn5Eix\nLFpcrOBw2C0C2fPnVUJCbCIjLcrLRdP7gQMtGhs1Jk2yKCszefddJ6NHmyQmmmRliR2hN95ooGkW\n9fWiPdOhQxphYTBkSPNS2McfO9i2zcHcuc3na2sZ72ojMdFm0SIvEREWhw+3/ZisLNF/MzTUIiFB\nbBppaIBRo8ymtlLHj7cepygQHGxTWKgRHm6TkmIQGirqzXm9FqNHKyQledixQ8Pl0sjKEps9HA6F\nCRNMBg+GG27wUlysEhlpkZQkMrhbtzpRVZsxY7zU1Yn3ZiDtnA1EGhthzx7hx0mTTNRO1jFITbWY\nPt3L0KFX9+epK/S0Hu0iZqLoC66dKYCY4T06dyDTKU2avxEomrSuYttCTxUTI76A9+9XefttB3Fx\nQgwdGyuKolqWRVqa2GHY2AjDhpn83/+FMn68yS23uImNhXHj7E5fqHobX+oqiosVVqxwMmKESVmZ\nysKF3svWhVu9WtSsW7bMQ0qKTUGBSl6exuTJXhoaVLZs0VFV+OpXPU1asOPHFXbv1pg82cCyhC89\nHoUNG5yEhVnYts3p0zrTp3s4eFBj8GCbUaNEeYy8PI21ax1kZYmlNdNUWvSb3bhRp6rKpqZGIS3N\nYurUvv8y8bUupiPYNrz6quifef68wqJF3hbLpJYFO3ZoKIpNZKTY5FNdLWoPJiTArl06BQUqAwda\n3Hefh/Bw0TLK6bQ4f17llVeCSEqyuflmL1lZFvHxNocOiZqFycliaXzNGgeqCvPne3n5ZSenTqk8\n9lgj1dUKO3fqXH+90es1Cb9MIPiuu1RUKOi67XcrAD2BL/3XVNNszo9pnP2vPTav4+AnhL+6FO+w\nG6l96L0em9ffCDhNmqR9FKVl8dUxYywWLXKzefPFHWY2tbViw4DHY7BqVRBTpogm6vfc4yE4WGQe\nTFPlz392MHeuIX8ZXiA4WGwQGDDAZOHCKy8PzpplMH682fRlOny4xfDhFitX6uzfrzF7tpfoaJoC\nNLcbtm0TbYpCQmyKinRuukl0Kzh82GLoUJP6epV+/QwmTrTQNLETc+RIi8OHVfbv18jMNMnMNC+8\nB1p+id9wg8GePQo//3koY8caKIqXYcMsv+7F6gsUBe64w8OxYyq7dumt+pK63fDFFzohIaJnaXGx\nyj33eNizR2PNGp3p071MnWoQHGwTFiZ6avbvbxIXpzZpNZOSLE6c0Ni/X+f++z1kZDSfQ9fh9tu9\nLc5nmuLH1JkzCgUFKsOHK30epF0LdLTtnaRzaCW7ATBTMnt03hY7PCVN+FluxX/wB13FpZw8qbBt\nm0ZxsU5Sko3Ho1JQIDYN3Huvm9LSTSxZ4iYpycbhgDlzvGRmesnOdnL8uOhScO5c83y2DdnZOh99\n5LhinSx/0FbU1opq/5fWLruSXcePi+Xgtp5fQgKkpa0nM7PlhbyyUjQ4/3LR2/BwWn2R5uTkMHKk\nRVaWyYgRVpNAHYQmpr5eLJs4HOB02liWjWEouFxih+eJExsYNcrA7VaYMsXk6FGVHTtU0tIs5s83\nuPVWLyNHth9UV1Z+zle/KpZp1693cuhQ5/QzvvbrO+9s4fDhy1+CSkoUtm7VWvWnhI7bHx0tmscv\nXy6asxcXK7z44hYaG0VQfffdHm691cOcOV7uuceLy2VTWys2+0yYYJKZaTF8uCipYhhQWqrywQeb\nOXpUJTZWFMJNTrYYNcokPPzygcGtt3pZtsxNYWEOGRkWy5Z5OrTju6vP3Rf427Xzapu3O3Rbs2WZ\n6KdEkGYMuHImrzPns2JSsfUg1OoyctZ92j07+2CcX2rSJL5j716NHTtEz05R1Vx8qYeFQVWVQkmJ\nxt13Cx1MYaHK5s0aQUFiXHy8xeDBoi1NcrIowbFvn8r+/SpBQWJ3p7/XyhI7TZ3MmuVl6tSOlSnY\ntUujoEAlJcXqcAX2oiKNTZscBAXZ7e7wvJTaWqF9SUmxyMhofnx4OMyb56WoSGzsqK/XKCnRqK01\nmTRJ1OIqL9epqwuisREWLvRQUqJRXy86FERG2lfULTmdsGSJ2LF76JDYuRYoGAZs365RUuIgOdnd\n7o67w4fF+z4+3iY9vWee3759Grt2acyZI2pmXRp8u1w2f/hDKOnpJt/9rpvDh0V/zEmTDCoqNI4f\nV0lOtigpUbn7bi/vvx9EeLjJ4sUeTpwQLcMuF6gNHnyxQbrwX6BpPSXXNurpAhRPLWb0QOyIduoZ\ndXlyDTMhHb0sH/X8yZ6dO4DRnnjiiSd8bURXOXbsGMnJyb0yd2pqql/NGxxsERcnGnvn52sMGWIR\nFgZDh1oXug8MJilJNI1eudKBoihERlpkZlrMnGngdIrG2XFxov7T++876ddPlGq4UjDQW69FWVlZ\nh/0XGipqvA0bZjZtpLiSXbGxNoMGWQwa1LYer63xERE28fEW6elWi1ZJbZGamorHA7W1Cunprbfq\nR/7/9s49Lqpy+/+fvecCEzMDwx01wQuKIphaKoo3EjAVtZK8VVpZdvx+9Zzf6eL3lB2t7FVWJ0/Z\nOZllXjLNytKXlqbilUhLvICYVl4SEUdhQAbBYS7r98eOyQkGhtnMZePzfr3m9dI9e61n7bXYz7Nm\n7/U8j1bYfL2oSIbycmESwc8/y6FSCUlKeno7xMYKa7F17y5s7aRUCnVQp0/LkJRkbXRplD/br1QK\nMwiDbppodeECh+vXOWg0wlPTigohEb95o3qxcW1J/P4MzwOxsR0RF2dDhw7kYNfNaLVCEtW5s62B\nL9y1PzjYhp49O6JTJ5t9Ik9BAY9t2xQICbGiqopDXBwhOdmGtWuV2L9fgW7drAgOBioredx5pxU9\nenREQoJwT3bubMOBAwps2RKAxESrS2sJttT22lrhFWn9jylfxq45/K3vbGt6Affj565N9XKKU99C\n+dM2WOLTYE4a3+rtyS/8CHnpCXS4KwNWF57UiW1PjJy7bZWWlqJz584un8+epPkxJpOw52BMjLDP\n4vHjChQW8rjjDisOHpTj8cfrINynNnTvbsOGDXIUF/NITrYhMlJYZb5LF2EQj4iwolMnG6KiCAEB\nwIQJZgQGkktrBvkDWq2woXVLiIqiFtWl1NQAP/8szMJsbEZoY3TsSOjYUag5KinhGjwBq6nhUFIi\nrFzfp48NHCcM7HI58NlnAYiNtWLsWKEmbsqUOhAJyTQRHJLEK1fw+16bze8QYDQCX32lRGAg4bHH\n6vDLLzy++UaB9HSzX83+dOU1X1gYEBbm/DyTSZhQExFBLj+VEtY8c9RpMHD47TceGRmAVku4coVD\nTY0wEUSv55CQICThCQl1OHRI2MEiIMCGCxdksNmAoUOFmYA9elhRUMC3+G+vOb7+WoGrV3k8+KCJ\nzQxl+Ax5cT4AwNIaC9g2gjUmCcCnkF0q8Ih+KcJq0pzgD3UKJSU8tm9X4OhROWJjhUVPe/SwIinJ\ngvh4KwIChEGgqIjD22/nQakUfml37WrG/v1yLF8eiF9+ER5RKBRCQlE/wHfqZEO7dq4NIv5YWwG0\n/t6PJSU8cnIULq2NpNdz+O9/8+y1ayUlHNatUyI394/fPULNkvAq7L77zOjYUUimw8OFbX8uXNjv\nsKBqRISQQAwcaEVKiuOyAUVFMuzfL8fFi38czM3NxfHjPNavV6C8/I9zg4KA1FQLUlIskMuFp5Ah\nIY5P2hq7fm/TGvHT6zns3Klw2JPVGZWVwIEDMly6xDVo22wG2re3wmYDhg2zYsgQC7Ra4fXkgAHC\nU9W8PGF3j9hYG4KC9iAqiqBUCsl0r16EsWMtqK4Waj3z85v+G8rNFbZaW7tWgaKi5rvh0FBhI/j6\nJ3++jl1T+EPf2Zb1ikFszZas+AgA15O0lrZnbd9bkPvu+xbJudueGDlWk8ZAu3Y23H23BTExNkRH\nA/fea8HZsxy+/lqJIUPMCA0VZoodOSJHXp4Cer0MaWkWREQAd99tQUGB8JoNcHwCdeyYsFn3uHF1\nkt8epTXp2NGGzMw6tG/f/BOes2d5FBUJSZNOZ0NwMCEpyYJ27Qi1tUJB+smTwqvOqVPrkJjoGAON\nBrj9divKyoQnX009HamuFuqogoJg33+ynooKoWbqxg1hKyNAeJV48+bcsbHCE7W2SEyMsIBvRETz\nPzguXeKRl6cAzzdcsLhDB4LVKiRBcXENtwMrL+eQmyvs8DB+vDBZJDJSWHQaEJJugwHYsUOJzp1t\n6N27+RnDNTUc9Hoe1641//eWlubidiUMhofgaq9BdrkIJFO0+szOeiwxvQAAvOE8YDUDMkXTArcA\nbJ00iXHhAoctW4QkLTnZBqsVOHsWqK3loVAAO3cqEBtrw/jxZpSX4/ftiRx15OXJ8MMPckycWIcO\nHXwXfimv1WQ0CrsWdO4s7OQACIP0xx8Lm59nZZlRVgYYDMJit43VxH3zjRznzskwdaoJOp3ztqqr\ngY0bhRrCzEwLKiuFGYscJ7zuu34dLVqtvrWQWvxu3BBqBNu1a3yrn4oKIX7198/NCDtYCAl5Yz9s\niIBz5zhs3apEUpIVI0a4llSVlcG+qbo3kVrsGI74In6Kn7ZDvWYqzHEDUT3rG4+1o32jH2SGc6ia\newDWmNZdMNcfYOuktXE6diTMnGmyJ14HD8qwbZsC995bh86dhYVQw8OFX+bOFnHs39+KxEQr25NO\nBBoNHDbvBoSBNjrahtpaYU/VQYOs9lg0xt13W1BXZ2m2xkitFurVZDKh/mrHDgVGjTKjZ0+hPs3f\nZ+b6C4GBwtZAN/Prr8LTzsGDzQgMhMP9czM8L6yN54zCQh579shx993mFi2pwda1Y0gF+dkDAABL\n5yEebcfaLhkywznILhW0ySStpbCaNCf4Y53CtWvA5cucw6B844awz1xeXq592QejUTjmDLkcLUrQ\n/LG2Amj9mjR35M1mYM8eYY9AtRq4/34zamuBwkJ5o3uG3syPP+Y6TdD0es5hTTilUnilplIBajVB\npfL99YvFl/bn5uaipkb4kbNvnwyVlTzUamFJk8GDm5+gsnNnLkpK/piSqlIJH42GHOoMPWF7a8h7\nEn/sO9uSXjGIqdmSnxFkLZ0He7Q9a/tk7L0EtyYPsJo0hk/ZsUOB4mIe06eb7E/Jhg2zolu3Wpw5\nI/x6Nxh4FBTIoVJZW21dKYZzbtwQ6sW0WsJdd1ntK8xbrbAvFdJSKiqAdeuUiI62YcoUx9duXbrY\n0LlzHTgOKClphQu4hamuBoxGDsOGWdC5c8vulYICGY4fV9q3CYuPt6Fr1zqnS4kwGFKGMxkhu3wC\nJFPC0vEuj7Zl6dAHACAvPuzRdqQCq0mTEEeO8Cgr4zFkiKVBYXM9RMDFixxCQxvO5vM32kpdjF4v\nbK7eWnVhJhOwf78coaHkMAHA32gL8Sst5XDbbdTiV/9FRTx++43H0KEWl5dr8SfaQuxuZbwdP8WJ\nLVB/Mh3mToNQ/cRWzzZ2owohL3UGOB6VC84DSjd/7fopLa1J8/nrTqPRiKysLKSmpuLjjz9u8P3s\n2bMRGRmJFStW+MA6/6JvXxsyMv5I0K5fr0/c/jiH44RVzP09QfMXrFahnqi42P1HIFFRrZegAUKN\nWXq6xa8TNClQXMyhsJCHrYmHZDExLU/QAGEf3dGjpZmgMRgtRXF6JwDAEp/m+cYCtbBG9wRns0D+\n+z6htzI+T9I++OADTJ06Ffv378eHH34Is9nx9c4///lPvPHGG163Swp1CufP89i5U4mffpJ59P24\nP9ZWAK1T13P1Kodt2xTIy2v5m39f1xX5Wl4snrY/N1eObdsUuHq1YQLua9/5Wt6TSKHvlLJeMbhl\nk82G73Z9DQAwJ2R6vj0Au2uF1fzlvx3ySnv+XJPm8yTt0KFDSE9PB8/z6N27N06dOuXwfXR0tI8s\n83/i4my4++46dO/Onri4S3g4ITPTjJQUtg5VW2PQIAsyM80ID5dsRQeD4XNkl46Dr6mALbgdrNE9\nvdKmLSpBaPu3H7zSnj/j85q0zMxMbNmyBUqlEi+88AIyMjIwZIjjFN/Vq1fDYrHgsccecziek5OD\nFStW2PfQ0mq1SEpKQmpqKoA/Mt229v+ePVN/38PTP+xx9/+sLqZ5iISat5AQsq/H5i+w+DXNlSsc\ngoL8s/SAxU7aeDN+gTmLodq1GKYBj6Bmwr+80iZfcQHBr98B2206XHv+FzS60KREaWlNmteSNL1e\nj8mTJzsci46OhtVqxX/+8x9ERETgr3/9Kx5//HH06tXL4bymkrRbraOpqQFWrw5AQADhoYfqXJru\n76+wgaJ5zp7lsXGjAikpFqSm+tcTUxY/5+j1HNauVSIhwYoxY/zvKS2LnbTxZvw0794NeclRVD+8\nHuYeLXvd6TZECF6cBP7aJVTN2QdruyTvtOsF/HbiQFRUFPbs2ePwWb9+PVJSUpCTkwOr1Ypjx44h\nISGhgawvHvb5a52CUgl062ZF167CJt2tpbcp/LG2AvB9XY835LVaGzp3tiEysuE94Gv7xeLrddI8\n2XZQkLAsh7MtxqQeu6bw176zregVQ0tt4iovQl5yFHuuKGHu0vJFbN2uEfvuO5h/n6Qg/2WP59vz\n45o0n6+TNnPmTEydOhVLly7FrFmzIJfLcfz4ceTn5+PRRx/FK6+8gvXr14OIUFpaivnz5/vaZJ8i\nlwsr1TNuDcLDhQVyGdJCrQbGjWNxY0gbZcEmABDWRvPyUhjm+BEIOLwWil92wzRsrlfb9id8XpMm\nhlvxdWdbgr1ykTYsftKFxU7aeCt+9led01bB3Gucx9u7Ge66AcGvxAO8ApX/PAMo/bC40w389nUn\ng8FgMBgMacAbzkNechSkDIK520ivt09BobC27wPOWgf52e+83r6/wJI0J0itToHVpDF5b8uLpS3X\npPm7vCeRWh8nNb1iaIlNit9fdZp7jELuD0c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"text": [ "" ] } ], "prompt_number": 50 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Korrelation der Returns" ] }, { "cell_type": "code", "collapsed": false, "input": [ "corr = rets.corr()\n", "corr" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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AAPLFDAX.EXFXXP.EXGOOGTSLA
AAPL 1.000000 0.145395 0.135896 0.673684 0.047999
FDAX.EX 0.145395 1.000000 0.915619 0.027554 0.115146
FXXP.EX 0.135896 0.915619 1.000000 NaN 0.162412
GOOG 0.673684 0.027554 NaN 1.000000 0.727874
TSLA 0.047999 0.115146 0.162412 0.727874 1.000000
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" ], "metadata": {}, "output_type": "pyout", "prompt_number": 51, "text": [ " AAPL FDAX.EX FXXP.EX GOOG TSLA\n", "AAPL 1.000000 0.145395 0.135896 0.673684 0.047999\n", "FDAX.EX 0.145395 1.000000 0.915619 0.027554 0.115146\n", "FXXP.EX 0.135896 0.915619 1.000000 NaN 0.162412\n", "GOOG 0.673684 0.027554 NaN 1.000000 0.727874\n", "TSLA 0.047999 0.115146 0.162412 0.727874 1.000000" ] } ], "prompt_number": 51 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(corr, cmap='YlGn', interpolation='none')\n", "plt.colorbar()\n", "plt.xticks(range(len(corr)), corr.columns)\n", "plt.yticks(range(len(corr)), corr.columns);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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GowEAlJWVISYmBikpKfj111+xb98+yZ81c+ZMjBo1CtOmTcPEiY5XXAghptV08sa1nTua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\ncnIynnrqKYwdO1Z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"text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "code", "collapsed": false, "input": [ "fig=plt.figure(figsize=(6,6))\n", "plt.scatter(rets.mean(), rets.std(), s=50)\n", "plt.xlabel('Expected returns')\n", "plt.ylabel('Risk')\n", "for label, x, y in zip(rets.columns, rets.mean(), rets.std()):\n", " plt.annotate(\n", " label, \n", " xy = (x, y), xytext = (20, -20),\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'w', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", " \n", "plt.savefig('Risk-Return-FXXP.png',bbox_inches='tight', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pG/NRfYpN/APAhAkTMGHCBKvHZsyYYbWcnJzcYD1fX18cOnSo0W3W7fkQEZHt47XLiIhI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\n9OvXT5w4cUJUV1cLPz8/cezYsWbXz83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"text": [ "" ] } ], "prompt_number": 53 }, { "cell_type": "code", "collapsed": false, "input": [ "print('Done.')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Done.\n" ] } ], "prompt_number": 54 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }