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@omnisis
Created January 25, 2014 20:50
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{
"metadata": {
"name": "Random Walks"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "import numpy as np\nimport pandas as pd\nimport matplotlib as mpl\nfrom matplotlib import pyplot as plt",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "\"\"\"\nCreates a \"random walk\" sequence of the given number of steps and stepsize\n\"\"\"\ndef randwalk(nsteps=1000,stepsize=1):\n draws = np.random.randint(0,2,size=nsteps)\n steps = np.where(draws > 0, stepsize, -stepsize)\n walk = steps.cumsum()\n plt.plot(walk)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": "fig=plt.figure()\nrandwalk(nsteps=5000)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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BNYq/xrVInxnBFQAAAGggKLgOD0vLlsULDgMD5npYZGtoqPjBNaqpsK1xfe212uftvrR8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\n9je/iV7fwIB0zTWm46GlS5PdrjBlCK5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S/J19NPM5l01QDf9rr5la6IGBxic/7D5nf8zL\nftIDQLr8IYuhtlq3fLk5EVDm4e1QXGWsce3mS8vyQHB9069+Zaa2917JDOnR12d6M8wiuC1bJm28\nsbn9+c97j9sA8PGPS3/5S/zl7bab6ZjJ9fLL5j2efrr3nt773sbLWn/9+OvtRF//upnaz+vaa/Pb\nljwcf7x32z2w2E4Qfv97s0/us4+0/fbevFHB9VvfCp8HAOLyhyxqXFv3zW9Kl15a3BCAcmu3V+Ei\n7bOHH573FnQngqu8syUTJ5o/+9jixaamKavgunSpV9P3qU/VP2+HF5k2Ld7yvvc9aZNNah/r6zPT\nJ54w7+ld76ofAijIaqtJ3/52vPV2os9/3vzPn3qq9uRFN5g40QvuUm1txsiR0pQp5vajj5phmh55\nxJs36HthC5hf+pL0kY9QwATQHn/IIri27rXXzB/BFXkoU43rlVfmvQXdqa3g+txzz2mPPfbQlltu\nqbe//e0699xzJUlLlizRPvvso2nTpmnffffVq6++msjGpsUW0seMqe+kyda4ZtEsqVo14Wn06OA2\n8/bLPmZM6+uw41/ZpsKVSryegov2g5GmbnmfVlRtxsBA7cmcoNf60aQPQJIIrsmpVr2/bjvWIX9l\nCq7IR1vBdfTo0frRj36kRx55RPfcc4/OP/98zZ07VzNmzNA+++yjefPmaa+99tKMGTOS2t5U2C9R\n0LV9fX1mLNQsDpLudrTyfBz2GtqBgeaucemmH4xuuu5neDi6UFitesHVzu+KairsXxYAtILgmhyC\nK/JEcEW72gqukydP1jbbbCNJGj9+vDbffHO98MILmjlzpo466ihJ0lFHHaXrrruu/S1Nka0RCuq9\nN8trXN3tCGK3oZVgZQOHbSrc7IGrm34wuuV9SqbDpREjTJNgKyq4+hFcAaSN4Joce9K6m47pKI4y\n9ipM50zZSuwa12eeeUYPPPCAdtxxRy1atEiTJk2SJE2aNEmLFi1KajWpiKpx7e8vTo2rDbbtfHFt\ncF2+nOAaplvepxT8fw0LrlHN1/2vD1oWALSCXoWTY09a06sw8kCNK9qVSHB9/fXXddBBB+mcc87R\nhAkTap7r6elRT8EHOYoKrvPmmYL7ddelf1alUXANGionLvsvsB0s3XxzvB+BW24xIbebDnL2M7n+\n+ny3IwthwXX+fHOSo1o1J26sZcu82/Pnex2G+V/v3ia4AmgHvQonh6bCyFMrvQo/+qj0zDPF3WcL\nHnFKJ0a3PNFWrFihgw46SEceeaSmT58uydSyLly4UJMnT9aCBQu01lprBb725JNP/s/t3XffXbvv\nvnu7m9MSewD8xCek2bNrH5NMwX1w0PQ4a4erSXM7gr6YO+8s3XmnuX3BBc0v+8ILpXe/W3Irv90f\ngeOOMz0NXnFF7eu+9jXpJz8p7g9GGi67zPTGPH16+ZuABP1fbQHRDplkg+vSpbXz7bmn9Pzz0kc/\nKu24o/Tii9IZZ9QWMKkZAdAumgonx4bWoaHuOaajOFr57l50kRntoWjD4UjSrFnShhvmvRXFM3v2\nbM22gSphbQXX4eFhHXPMMdpiiy30pS996T+PH3DAAbrssst0wgkn6LLLLvtPoPVzg2ueqlVpq62k\nNdf0CtnuFyvqGr+kt0MKrtk86igvuNrhSZqx0UbSBz4g/fznteuzPwLnnWd6HP7d7+q3qdvOzqZ5\ncqJogmrS7f95cLC2V2F/ALX3P/UpaZddzBnRM86oL2DanqwBoBUE1+QQXJGnVr67RS6H7rVX3ltQ\nTP7KyO985zuJLbut4HrnnXfqiiuu0FZbbaVtt91WknTGGWfoxBNP1CGHHKJLLrlEU6ZM0dVXX53I\nxqbFnsUJaioseTVOade+RXXOlEQzXf8y4jS/KvIPBtoX1lTYfT4suPrn90/t7SVLktlWAN2J4Joc\ne33r4CDHdGSvlc6Z3HJot1yyhnBtBddddtlFQ0NDgc/NmjWrnUVnyn4ZgnoVlrxxTtNu8hjVVDiJ\nA4y/Hb6/MGDf58qV3m2Ca7kF/V9HjzbToaHa4Oo/2NgTOY2CKwVMAO2gc6bk2B6Fh4YIAcheqzWu\n9IQNq+1rXMvAfhnCalytsgdXu55qtTas0wNheQXtA3Y/sf/7dmtcCa4A2kHnTMmhqTDy1Mp315ZF\nCK6QEhwOp5M1Cq62ZintA2XawTVofVFDodh5ONNVXlH/Vztkkm0qv3x58HwEVwBpoqlwcmhFhTy1\n0qsw+yxc1LiqNrjOmVNfMzl5sjdfmo46ykzTCq7+a3RPO02aMaN+Pf7g+vGPd+8PRk9PuXsWfs97\nwp+7+GLT6dK4cea+P7i+8IKZ2pqQkSPNvDTpA5AkgmtyqlXpttvM7W48piNf7XTOVMRehZE9alzl\nHRTDmsIeeqi0+ebZHSiDtsN+WffYo/3lv/hi/XLdddugMTzs/WAEzVtmt96a9xakL04gt030rrzS\nXPvc02NO5LivtftFT48Z95gmfQCSRHBNjvu5ddMxHcVQtl6FkT2Cq2p7FQ4zdWp2B8qoXoWnTm1/\n+WuvXb9cd932fa5cGRxQusE73uHdLmuNa1RN6DrrmKk9UNj9f7PNzOvc17r7xbrr1i6HAiaAdhFc\nk+N+bvRbgazRqzDaRXBVba/CYbI8UEY1FW4nPPqbQActL6qDqm76wXA/l7I2dY3an+37d5vRS6aj\nJrcW3p03bDkUMAG0g16FkzE4aP6sbjoZjWJotcZ16VJpxAhzSRK6G8FV9YXzIFkeKKNqXO1QJWmt\nK2xIoLDtKiv/WKZl1ExwtftfUHAdFXGlPMEVQLvoVTgZ3XxMRzG0Glz7+thfYRBcFS+45l3jOmJE\n7TStdUXVuHbTj4YbxspaQIo6ERNW4zp+vDljv2yZN29QTb5FzQiAdtFUOBndfExHMbTSq/DAAMEV\nHnoVVvLB1V4TGVWgjxK0HXaZ7VxvGfRagmsw939X1uAVtT/b2g1b02H3HVv72t8fbx0UMAG0Kyi4\nLl9ufpdaPc52I3/P8FGtZYA0tNM5UzeVQRGOGld5nTMFXcN54IFmesst0qc/HW95Z50l/fCHrW3L\nhAnSxhvXP77mmmbaTq/Ce+8tbbRR7WNRvQr7O4Lq1oNcWYOX3c+mTKl/7vDDzdR/UsdeC05wBZCV\nn/zEdBZoVSrS1VdLn/xkftvUidyOGSVp7Nh8tgPdq9XOmfr7u6ufFYQjuMornPf0SP/v/3mPf/Sj\n0rXXmtvz58df3uLF0iuvNL8dY8ZICxeacVP9Vl/dnF3+0IeaX6714Q9LTz5Z+1hUr8KuW2/t3jPb\nZQ9eTz9d/9iXv2yapS9dWhtc7Qmevj5p660btwAguAJoh/2NGRryHrPHrVtuyX57ymB42PwRXJG1\nVmtc+/upcYVBcFVtF9thX4xmzvT4O6+Jw46ZmvUXM6qpcNR83aRbg1elYq5ndXvctiE27kGE4Aqg\nHbam1e1N1N52a2EBFN/o0aZc4Z6IaqRaNa/p5nIoPARX1QbGSiW4A6RmvjCtBNeVK/Pp6jtujWs3\n/2B0a/CqVMxBZsSI2hM7lYqpcY1zMofgCqAdUb8f/LYAnaWnp7nmwrZSR+rucig8BFfVB9egAnna\nwdXf3X9W/M1/w4JGN19bUObCUVTzb7eJ8IgR5hpnN7jG+U7QqzCAdkT9/vo7GwJQfM30LDw4WNs5\nJEBwVX1wDfpypB1ci9Jjmg2u/msXi7BteSlj8LKD0Ed1uNXbWz92om02HDe4UuMKoB1Rv7/8tgCd\np5lygTtfN5dD4SllcL3vPlMw//GPpb/9rfH8tldhKTy4xq1xfOUV6dFHw7+Uzz5rOmDyK0pwtTVk\nf/5z7eNF2La8ZFU4WrlSuugiL1SmZXhYmjnT3I5b4+reb+Ya195eacUKafbstjYZQJd66qnw56hx\nBTrPqFHS738vPfNM8PNuub1a9ToR6+aWf/CUMrgedZT0179Kn/+8tOOOjecPqnG94ALp61/35vnZ\nz+Kt+9BDpQcfDD9LfM450i9+Eb0NWbj8cjO0zhZb1D5uz4Ttt1/9493me9+T3vnO7ILrb34jfepT\n0h/+kO567r7b9DDdSFhwtb0Kx9knbDBuZxgnAN1rl13M9JBDvMd23jmfbelktiOroFELgCwtWGCG\nl/QPuSiZsvNOO3mt/qpVM0yk1J3lUNQrZXCtVqU33mhufnsmxzaF/PSna0Pde95jpo2G/3j1VW+Z\nYesKei7r4HrkkWYoAX93+HTO5Dn+eDPWaVbB1dYepN00Oe7yG9W4cvYTQFbcMUgnTpROOCG/belE\ntubqkkvy3hIgnL1UbcUK7/6YMV4fGwDBVfGucR0xwvSw2qjQb2uYih5cwxBca2V5jabdd9IeLzfu\n8v3fBXtSp5lrXAEgDfb3p9HJZBhFKWMAUWx5y526ZQ+gtMG1r6+5+Rv1Kmyfa+WCcv/jQc/l1auw\nH70K1+rmzoWCalyb7ZwJANJgh61jLNd4CK7oBP7gavugIbjCIrgqXudM9rm0gmtRDipB73HkyOzH\nly2KMg7nEreGIqhXYWpcARRJt55YbFZRyhhAlKAaV7d/DYDgqnhNhaV4Ica9oDxsXUUOrkHvsQjb\nlZcy1rjaa0caSaJXYQBIU9l+n9NSlFZdQJSo4EqZA1IJg+vwsNnRTzkl/mvc0Dh2bH2HRVYzISYs\n4A4MSI8/Lv385+HbkCf/e+ztDf88usHrr0v/8z/x5//f/5Xmzm1+PZ/6lHTsseb20FDzr2+Gu29O\nnhw+n/9AYb8bvb3Sk09Ky5Y1t97HHmtufgAIM3GimRJc4ylKGQOIYssndmr3W3uZElC64Oq/3iVO\n6HJ/0PfcUzrvvOD5kmoqPGeO9Otfh29Dntz3+KtfSc89J912W77blKc5c5qb/9RTW+u18aKLvNtp\nN022/9/3vc+MeRzGH1x/8hNpt928xx55JN767Jix/pM1ANDI3ntLP/pR/ePHHWemZbuUIy1FKWMA\nUahxRSOj8t6ApLmBcdQoadVV473GNqEZM0baZJPg+ZIKrsuX1x9si9KMx77HUaOkgw8227TWWnlv\nVX7y+J+kXYNgl7/rrtKaa4bPV6nUngjadFPvcSn+Z8MYrgBaNWKEtNlm9Y+PHi1Nm0aNa1wEV3QC\nehVGI6UOrhMmxDuoxf1BTyq4Bj1flINKpWKagA4OmoJBt8vjf5JVcG3EH1zdx91pnOVI6Q/zA6B8\noo6NZeyDIC1FKWMAUehVGI2UrqmwexAbMyZeMyK3V+EozfQw28nBtb/fvFeCRmv/k3Y/t6IEV3+v\nwlazwXXUm6fHGLYCQLMIrskoShkDiEKvwmik1DWucQ9qWda4uhect7INaevtZagTVx6fQ1bXuDYS\nVuNqa+LjHkRskKeACaBZUcfG3l5+V+IqyuVIQJSw4ErnTLBKXeM6cqRp8hrVS+vgoOmJeFSMCB8n\nuNqC/sqVwevtlBrXImxLEdgDfdyxT5OQdkEsbjAOa5ozYkTtNC4KmACaFRW4qHGNryhlDCBKWK/C\nNBWGVerg2tPT+IxsMz/mQQfJiy4y65k+3Uwfesg8HtasuBOC6/z50ssv570lxfCe95hpWEjr6ZEe\nfNDc3n57Mz3rLO+xRnp66psWZ9VU+B3viJ5v7bXNX5gdd2xuvRMmNDc/gO7217+a3sujmgq7x9mg\n39N2vPKKWd5VVyW3zKRccIH5i6soZQxg//3Dnzv8cDP98IfN1O63664rTZqU/rah+EoXXP1hsdEZ\nWbdH4UaClnXrrWZ6/fXeY3fdFb5e94Jz/3YXoRkPB7ZaX/pS43nmzTPT++/3HnviidbWd+aZ2QTX\nk0+OPnhI0mc+I33ta/WP24LhJz8Zf50nnBDdgzEA+NkTwXld47pkiZneeWd662jV/PnSs8/Gn5/g\niqL4wx+kf//bG4s5ii2jn3++GcIPKF1w9R/E/Gdkg+Zvp8Y1bL5GwbXINa7ITxZN3/LY12jSB6BV\ndM5Ub2Cguf4QilLGAKT43924naeie3RFcI36cjTzpYjbq3BUcC1650xF2IZu1uhESxLa3ddaud63\nmwuYANrTbHAdHExmvbafiqh+MvJSrTb3m9pM6zIgbfYyvkbliaKUjVEcXR9c06pxDbq2dmhIWrHC\nW6/7hS3Kl5MDW/OSvKYqi14y82iWTnAF0Kqw36uw38ukTv6FXdpTBM0GV2quUCQjR5q/RsPkFaVs\njOIguKbYVDjoOlaXDbHNbkeairAN3YymwgBQq9ka16R+a8Iu7SmCVmpcOb6jSOKUC9hv4Vf64Lp8\nueksKeyMaSvBdelS6cUXw+ezZ4FvvNF0oHDrraZ29YYbvDEwJenee71a17lzi1HbyQ9EuBdekJYt\n8+7Pn2+mQR1kNNNphqtSkZ57zgxJ1MjgoPT0082vo90DQSs1zARXAM2ytTFhw9VVKubY6W9umHRw\nveKKfHvaf/JJ8+ciuKLT+csFbmWOJN1+O/st6pUuuA4MSFtuaW5///vSU0+Z3k9nzAiev5VehT/z\nGdM1d9R8Tz9temSdMkXac0/pV7+SDj649ou5667SHXeYg/OddxYjuBZhG4pqvfWkL37Ruz9lipkG\n9bwb9Fgj555r9p277pIOOqjx/JdeKm20UfPrafdAMH26dMwxzb0m7vXhAGA1Oh5VKtJPfmJ6KXUl\nHVyHhqS11kpmma3YZBPz5yK4otP5g+s555ipLV/vuiv7LeqVLrhWq9JOO5kzsAce6D3+yivB8zdz\n3Yf9ki1c2Hg+P9utvlR7MF661PviJnmtZKt6euJ1Ud5N+vqkVVYxtxctSmcd3/++9PnPe/vOCy80\nfs2//93auto9EGy6qXTxxc29hhpXAM0aGpI+97nw5+3vWH+/V+s6dWpyvzVFPtlGr8LodP5ygS2n\n22EmpeIMFYniKGVwDfpxDuu5rJkf86Bao6Cw2Wj9/ucp0BdbWqHL7anS7hPN/EC30ruvxDWuADpD\no98q+3s5PGxaM40aJY0Zk3znTEXUSudMBAAUSVi5wK08WbqUEy6o1TXBNYn5g75k/vAwapQ0IuBT\ndXtO86+vaGd1Ww1EZTV6dHLDK7jc/7vdJ7L4gaZXYQCdoNHx2X3Ozpvkb02Rf7NoKoxO568MsmXP\nCRO8x/r62G9Rq2uCa1gz3KR7FQ5blvs6f2go8sERZt9JI+i5//dWgmurTcupcQXQCeIG154egmuc\n+QkAKJKwzpnc/bS/n/0WtUoZXJsJGUnXuMYJru48Q0PFPjjCSOOHs93g2s56Ca4Aio4a13AEV3Q6\n/3fV1r6OHOk9Ro0r/EoZXJvZyX/84/COm/z8X7LZs6WrrqqdJyw0/+pX3u0xY7zbv/iFt8ywLv+z\nRudM9fr6au/H6TzpBz+oH8LAVa1K48eb2/7g+uijjZd/4YWN5wlbb9YHgt5e01uy/3MEAOvGG6X3\nv186/XRz//vfD770xrK/Y8PD0cH12mujh7AL8sYbZkSCIlm8WPrtb6X99pP++U/pH/8wj8VBcEXR\n9PZKJ50kfelL0uqrm/K4H8EVfqULrv5egm3hPuy6zXvvlf7853jLrlRq2+PvsYeZ7rCDmR52mLfu\n++6rfa0bYH72M+kjHzG3r77aO8i6vSDn6e67owMX6n9g7f51zz3m85PMkDinnRa+jGrVu5bDnvBo\nprVAq/+jvGpcJenmm7NdL4DOsd9+5nj8zW96j0UFTlszs3JldHC94IL6Y3Ijf/2rd3vjjaVtt23u\n9Wn49a+lQw4xAd99LA6CK4rotv/P3p3HyVHV+/9/z9rZISwiJJBAFkIgbEECorIZkFVFWQyb4vJT\nRK+ibKJXUCCCisoX0QdXEFdEr0pAEdkMoKwGRCEsAcOSBBDINoRM92Smf3+ce6jTNVXdVd1d3dXV\nr+fjkUdVV1dX1Uxquuvd59Tn3GmGwbEjb9jr6csuM9O1aykqhlKZC67+N+ddd63ftnt7g7vmHHaY\nmc6c6e179uzw7eyzj7T33t7jQsEM4ZOWFtett65ufNB2temm5sKpq0uaM2f4eHthCgUvuAZ1FY5a\nJCtuMa1mBlcAiCPKe4ftNpvLBVf/j9ut1jVqlHTVVV7vmFZFVWG0grlzzfQznzHX1P39XD+gVOaD\naz1PePtNrr8oju36O25cdfvjm9DW5l40SdH/L/N5aeRI84VF0GttoYJKoq5nNauqMABEZYcLi/Je\nZcc07e0NbnGtJbiGbbPVcJ2BVhB0/c55C1fmg2s9L9Dth1dYQaaxYwmu7cIdg7WW4Gq7tgW9Nuow\nSXGHU6LFFUDarVtnpuXucbXc9+CgkGmDbRz2c95uM23D1sXFdQZaAcEVlWQ+uLr3wITp6Ym27bBv\nXW0L7MiR0f/A3PDLB0rrcS9iBgZKu7NEPZ+Cgqv7RUvUb/jjtgQQXAGkXV+fmZa7FcI+Vym41tLi\nWu9Kxc3CdQZaAcEVlWQyuAa1spb70InaKlvpw6u3t7oWXj5QWo8bXHt7zUWW/b+POr6qe09W0Guz\nFFy5twpAHHEqkCcRXG0otrdyNCu4Dg56nwtuTx8raFkQrjPQCgiuqCRTwXX1aumGG0pPcju0lVp5\nKgAAIABJREFUy9VXl35ze9VV3ofBu94VbftBRR8kafp0M91kE2n8+PLb2HZbM50yxVtG0YTWccMN\n5oLqiivM4xEjzPlWzSDZBx8s3XabtNlm0kYbDX8+TnC98kqvSFg5P/iBudBpdCEw+7sp1/MBQPs5\n+mhpzZrhy3fYwUynTQt/7TbbmGmU4Hr22eYz/y9/iXZcdhv77NOc4Proo+Z4TznFu3b53OeGr/e5\nz0kvvVR+WwsXSs8+SwBA+rm3Btxyi5lyfQxXpoLrK6+Yqfvm/Na3Sj/6kZl3i9j87Gfe/K9+FW37\n9sNrYEDaYguz7NRTzbhz+by0336lpenzedNV+YwzzOOvf1166ikz/973mrE6J0zgm9BW0N9vxgKU\npFWrzDSX88YYq2WssUWLzHlg5fPS5MmVL5S6uqSJE816114r3XRT5X1dc011x1ir3l4zjEOrd7cD\nUF933umNpX7oocOfP+GE8Ne+613SN74Rr6rwwoXRjiufl444wrxnho0okKSHHzbTn/7UTD/60dLn\nJ03ylr3wQvlt2bBOAEAr4ryFK1PB1S2m4LInvfvB486PHBlt+za45vNmCBTJtLLafXR0lP6B2WqE\nthXWVpC1Nt64dPw5pJf7/2jPs3HjzP2sQS2u9t7qKPxvyr29ptBXuQulYtF0IRs3Lt4FVTODY6Wf\nCUD7cUNlUI+mSrdejB0brapwNcc1frxpAUrDPa526DTLfk5EEXZtBLSCqLdfoT1kKrhWKp8fFlyj\ndpt0g+vo0WZZpUI8uZzXXTkoUPsr0iK9/IW+3IJK/hbXuPe7+oV1S7fsuLEjR8ardtnMi69KPxOA\n9uMG12ren9zP5XJVhas5Lvceu2a/d/mva9wvyqOO5c11BoBWl6ngaj9YwsKC+2HmfghFDRf+D8go\nry0XXO2HIcG1tdjzyL2o8QfXWv8/K33DX+4irZxmBtc0tFoASI9isXKLayX+L4D97zN2H3G5tSfs\nl25RA2ISgr6Qjxpc44yJCwBplsngGvYm7n4o1uOb3XL7cl9TLrjS4tp67HlkLwJscHUvCmxLfNSK\nj34EVwBZZ3uv2PfUJFpc3doWcbify52dpmdWtduqB/94tsWit6zScdnn6XIJoNVlKriGfei5Y71Z\ny5fH335Xl9nW+vXRg2Yu592H4n9Nd7cJNuvX801oK7Dn0WOPmanb4hpWVbja7mVdXdJ994W/3r1I\ne/ll75gqIbgCSAv7fvDSS+Z9rNrgumJFeHAtN6zOv/8dHvr8Xyj7tzs46BXqS8LKldHXrfR7430X\naRTU8NPMXg1oDZkMru5QM5L09reXPi+ZsBhXR4cXUmzQDKqC6DrsMO94/MHG3R4truk3Y4aZnnii\nmX7hC2Ya1FX4wgvNtNIFw4c+FLz8ttukL39ZOvnk4Ofdi7Tjj/cqalcyZ0609ZJAcAXgsu8Hxxxj\nRgCoNrjec48JoUFVhY88Mvh1Q0Pms/m//iv82Px1C9zju+OO8PfnevAPfeO/oD/rrOAv5YPYYpJA\nmnz60968HVZy3329ZZ/8ZGOPB60hc8H14IOHv0lPnSrtscfwN/cTToj/7Y4/pOyxR/n1L73UDFki\nBbeq1jqUChrnLW+RdtzRe3z88WYa9OXDxz8uLVhQvsV1223NEEnlLF4cvNwNrnFMmiRdfnm819QL\nxZkAuIKq/z7/vPTzn5vHUT6f7XvgqlXBVYUfeST4dfa96PHHw4+tXItrX5/51whXXunNF4vmnzs8\nTqXg2tvrDcsHpMXRR3vn85NPmqkdv1ky487TAgu/zAXXsAv5oNaearrn5nLmDylOYOjqMv+CXhNU\nkRbp5VagtvcLhX35EPU+1XLCXm8Lh8Q9h5t5PzUtrgBcQcE17nuaXb9QCO4qHPaeU6mScaXg6haV\nSlq1nxPu81xjAMiCTAVXtwqgX1BrTzVv5O59jXFfF/QaWlxbn/3ywX/uJRlcq21xLfc3kjSCKwBX\n0LA1cd/T7JeJb7wRHFwHB0vXt48rBVf/e6V/SJxGBlc7TryfXUZwBdAuMhVco7a42g+uqOO3+rfT\n0RH/teWCq3vPLFpP2H3KlYJalBBZ7+BKiyuAtPB/mVzL+5P9AjjKF4ZB06D1WqXFtdItGM38whIA\n6qktg2ul8V7Lsd0z4762UnDl29DWlWRX4ShVheMguAJIi3q0uFpJB1d/caZCoXH37NNVGACMzATX\nxYuliy7yxoXzcz/MwooxRFFNWCj3umXLpKee4kOlVQR9YZHLmf/Drq7S5b295lx7+OHS5X/4g/SR\nj1TX4vrHP5oucfZCpNwXKLffPny4BoIrgLTwvx+4Y5PGtWRJcFXhsH2WGzv2+eelu+8e3uL6y1+W\nbictLa4EVwDtIjPBdccdpaVLpV/8Ivh596LZltv+6lfj78cG0K99zQSDqL73PWm77YYvt2PM8aHS\nuuz/3X33DV+ez0u77166/IgjpGuuMfNhF2kPPWSmxx5buvzcc6V//cu7ELntNrN85EgzdSvwvfvd\n5sscVzMvYKgqDMAVFrg+8AHphhuibcOt7B/U4nrUUdL73meq8M6dOzywBg2Xc8wxJry675Wvv24+\nx91jTzq4br65meZy0umnS3/+c+nzp59uPl8IrgDaRWaCqxX25uxeNPf3m+kmm1S3/VzODLlzwAHR\nX/fe90o9PeW3i/QLKs0eVrCrlv/T3XaTfvjD4cHWXiz5qwovWmTOr0rBkBZXAGkR9n4wYoT5gi+K\nri5pzz3NfHf38PeZXE764AelH/3IjLtaqYuw5L3P+7sKS2b8V/v6JN/PNtpImj3bO46NNpIOOmj4\nOkccQXAF0D4yF1zDul66H2Zh3YmjqLarcCUUTmhd9v8uqKpwLYKCnr1Y8t/jGjR+YRCqCgNIi3q9\nH9hbJjo6gosouV8uRr3HVSp9r7T7cFtsk3w/y+elceOGH4dflPdVgiuArMhccI1SnKkWNiDUm//+\nSKRT2D2u7tS/vFpRguuIEd66ab+AIbgCcNXr1gG3J0w9g6v7Xmn34b4uyfezQsELruXes6PcgkFV\nYQBZQXCtYvt8AMAVFlxrPU+CLkjCWlyjFCWxrye4AkiDer8fBLW4uqEtanAN6ipsucWdhoaGjxNb\nDxs2eD+LVH74vbR/YQkA9URwrWL7fADAZVvL/a3mjewqTIsrgFaTz1c3LF05/i/w3Pc897lCwey7\n3Jd95YJrlBbbauXzpcPulfsdpf19HwDqKXPBdaedgpfXq6JpUsF17Nj6bxP1t/32w5fZi4pJk0qX\nu0F2u+1M1eubboq+r6ALEjt2oL0QmTrVLO/pkdaskaZMMcczYYJZ/q1vSaNHe69vdlXhp54yxxen\nIjeAbHLv46yH8ePN+1uhUNq11/2C7667pOXLvX1ff70p3BTEfa9073EtFqWrrzaP7ftrsSiddJJ0\n1llm3eXLq/857DFvs415bKvGhx3jVVcNLxz4+OPS/PlmyD3/0D4A0KoyF1x//vPg5W4IOOEE6dJL\nq9t+vYPr6tVmeJMZM+q3TSTnJz+RXnutdHxUe8Hw5S+Hv27pUunBB80FRlT+4FoseqHVdn+78ELp\n6afNhY17TCtWePNvvOHNN7s4k3Xttc05BgDpkc+bL227u8175LJltW1vr71MJfauLmlgwNuH/3aO\nRx7x9i1J3/hG6XZsSA1rcbXbdg0MSD/7mXTJJd4+qmWP+fTTzZd9W20Vvq49Vn/Ryaeeku64Q/rH\nP8xjgiuALChz50RrGjUqeLkbAgoFacstq9t+vYPrRhuZf2gN5f7/y92HJJkLjKALnnL78t+rJXld\nhceONS2tU6ZE32azuwoDgGXfx1atkiZPrt927Xtnb29wcLX7tq29YV1xw4ozBXXN9S+rpQt0oWD2\n3dUlTZsW7TX5fOmQe/Y4y4VwAGg1mWtxDeMvylDtm7g7diYQV5z7oYKqY9pptedwWoJrve9rA9B6\nbOXcen+mhn3e22lHR2mLq58NqUHHFTW41qKa9+mweggW1y0AsoDgWsV2+OYS1Ypzn3VQkRE7DTqH\nKw2pNDhoqmBWahlOCn83AFy21bPe7w3+HlZBY21Hub82rKtwKwZX3n8BZEFbBlfbDafa7fABAFfU\n1sNisbYWV39XYf956HYT8xsa8l7TrNZO9/j8hUQAtJ+kgqv7pV9YV2F3nNSw96OgXiKNCq5xW0gJ\nrgDaQebucQ3T2yu9/rqZr+ZDwSK4olobNkhr10Zf3w2ub7zhnb+vvx58DpcLpCtXmvtrm3nu0j0Y\ngMt2102yxdUNrra3yfr15VtcbaGjoN4phUJpwTvJPF6/Pngb1ahni6td3qyeNgBQT23zVpbLSX/6\nk/Tyy7V1Fd5++/Kl6dF+9tlH2nrr4Oe6u70LmOOPL33ukEPKb9e9+HKHtPnud830sMNK1y8XDDff\nvHQKAM2Wz0vbbmt6hNTixBNLK++GBVf7PvqBD0hnnBF+j2tQ75UTT5QeeMBsb9as0udGj5Z22aV0\nWS3D78W5Rtltt+D92aHTPvAB8ziscCUAtJLMBNcJE6R77w1/3n4I9PXVFlyPPLK61yG79tpLev75\n4OcGBoYHyoMPlm6+ufJ2Kw0sX+kcnjjRtLS6rQP0FgCQFvm8qSb83/9d23ZOO838s+x7px1CzL7v\njRhRuu+wqsIdHdI99wzfx9/+VvqevGGD15LpH/6mlq7DcW5n2mknafbsyl2F3Z8dAFpVZu5xrRRG\n/WXwuYBHs0Ttpu5efIU97/KvF3SOp+W8p9swgFrqTZRj3zsHBkzRus6AK51yVYXDrhH8XyZ2dYUX\nxasluMa9Rgn6kjPsXlwAaGVtE1zth8vgIMEVzRX13OvpMRdeYRcflbaTy0ULs81AcSYASX0W2yDn\nVhQO2ndYcaaowdUuC9t+tQiuABCsbYKru165DzMgaVEvSDo7TXi1RZnibifNLa4AkFRwtVWFy20/\nn5fGjDHz/nts0xBc41yjhAXXWu6zBYA0ykRwtfexRHmjDxtKBGiUuBckYZWIK1UVDhr6Ji3n/eBg\ns48AQLMl3eJabvuFgnffpz/ghb3OP7a23VeQNLS4AkDWZCK4Ll9upkH3sfj94x8EVzRXnPs7ywXX\nSudwUEBevTr6vpPERRXQnh59VHrtNenuu80QMkn0fooSXG+91dt3oWC+AL/zTun735defDH4uHp6\npDPPLF0WdvzVtnY++6z005/G+5wICtS0tgLIokwE1/e+t/I6tmT8Jz5BcEVjXXdd6eNzz43+Wn9w\n3XLL0udcf/6zdPHF0pw53njDf/5z6TARTzwRfd9JuPxy8zNwUQW0p4sukv7wB+nDH5b+9a/Gt7he\nfbWZrl1rnnv/+8175KuvSocfbqoHDw0FH9ff/ubNf/Sj3r7C9l+NnXYyof4Xv4j+mkotrvZnBoBW\nl4ngunJl5XXcUvCDg8HjtAFJOOYYc3Fkbbdd9NfmcmYIJ+sTnyh9zvWOd5jWgPvu84LrO94hPfdc\ndcedhE9/WvrhD2lxBdpVf7/5++/vl9atS744k3/7c+eWrnfeeeaaoL+/tJ5A0HG5vbpOOCF8vXPO\nqf49bt06Mw2rVhykUnA96KDqjgUA0iYTwTXuB0RvL8NxoLGqvTjr7S1tcXUHkS+3zd5e7/nulI3W\nXEtrBIDWVih4/6TkW1z9XXnd/dkv+IIKGVUqbmfng9YbO7b297h63uNKDzMAWdG2wRVopGrPOX+L\nq7udSuMWp/ViheAKtC8bKO17QKOrCruPOztLQ64rqGaG+/5rnw86/pEja3+Pq0dVYfd5AMiCTATX\nuPfL8SaORqsluLotrm5PgXLbJLgCSCN/cG10caagx1HHPI06xFg93uMIrgAwXCaCa9wPCN7E0WhR\nKl4HKRdcK7W4prVnAcEVaF/2/tZGdRX2b9//vui2zlYS9J4atqzWAnRuXY5KKlUVpqYHgKzIRHAd\nOTLe+gRXNNrmm1f3ulxO+vrXvcebbOLNl7sYSXOLaz0u6gC0pny+chGkWpULru6XfyNGmOdXrZIW\nLqy83S22KH2t3dfYscP3/8tfSocdJl17bVU/grbdNvq6/f3S+edLixd7y9wgTk0PAFmRsrIt1Tnm\nGGn8+Mrr3XSTdOih6b2gR3Z95SvSAQfEuxiRSr/Nv/VW6cADpZ13Nq2w5S5G3OJMkvT00+ZeWXdo\nnGahxRVoX/l8aS+SpKsKl+t5sssu0sCAmf/2tytvd/586W1vk8aMMa+1+xo3zry/3n+/GQ/25ZfN\nczfdZKq8f+hD8X8G/zBq5TzzjJn+5jfSV79q5nmPBZBFmQiuGzZIM2ZUXm/iRDMluKLRcjkTXKt5\nnfXud5vpzjtHe5372ilT4u87KQRXoH0VCl7BuY6OZKqel2tx9bP7X7++8nZHjJDmzRu+r3HjpOXL\npenTpY03NoHVKhbjHbu10UbR1w3qVsx7LIAsykRX4SgfTpK3Tlrv/QP8qv2SJc1dhQmuQPvK573g\nmtTQdOWqCvvZ/dvxU+OywdXOu9tslKCfkfdYAFnUlsE1rRf0gB/BFUCWuF2Fk3qPitPiWo992Xtc\n7b7cVtZGhFj7Zby7X95jAWQRwRVIsVqCa1p7FhBcgfaVteDa2+t11a22enyturrMdHDQW0YBPABZ\nRHAFUqzac9VfnClNbDe+au/9AtC6shZc09S7xf1CkC8HAWRRJoJrpcqBFsEVrebBB8105sx4r9tu\nO68YWdp0dZnQ+uUvN/tIADTC44+bLrOdnebz+rnnzPKkg+u550pLlgSvY1spg5ZvvHH0fU2aJO22\nW+kytxjeypXSRRdF31413vEOM/3mN83v+fbbTdHKZrUAA0BSMvG2FvVbVRtuCa5oFUuXmumCBfFe\nd+GF0uGH1/946unmm5t9BAAa4fnnzdTfyyKp2xnc2xHs0DSuYtEEO8sGP0k66SQzrmtUn/qUCcju\nz7b99tLpp3uPb7st+vYmTvSCfVTHHSd94Qve43/8w/xuBwfp2QIgW9oquHZ3m28g03rvH+CX5V4C\ndGUD2ltS72u9vd77S5zbiOp5TO524rzXVdu92b2uaUQXaQBohrYKrlK67kcBKrFFP7J4zhJcgfYQ\n1uqXZFdhW5yoWcHVHZ+2EcHVH5T5gh5AFhFcgRSjxRVAViV9j6sUr/5FPY/JHQanGcE1i58ZAEBw\nBVIsy/dlE1yB9tCMFtc4wbWnp/7HVM2YqsWiaSkmuAJAsEwE16hVhSWCK1qLPa+z2O3rP/8hvALt\n4Prrg5cnWZxp3TozH1Y92OWuk8QxLVkiDQxUXu/ee014raYasHtd8+ijXOcAyKZMBNc43y729mYz\nBCCbLrnETLM6rMG3vtXsIwCQpLVrpSuvHL58t92kY45JZp+5nDdWrFttN8wXv+hN99+/Psdw0kml\nj//f/6v8mn32qX5/69d787fdRnAFkE2ZuBymqzCy6p3vzOZwBp/6lJnai0sA2RTW0njFFcPDXb30\n9kqvvy6NHy/Nnl15/d13N++z3/xmbeHRNXWq2eb3vmce9/XVZ7th/F9ucp0DIItaPrjGvSeE4Ao0\nn+31kMVQDsBjq/v6Jfk5nKaido06Bn9wpWcZgCxq+eA6MGDuT4nalZLgCjSfvagaGmrucQBIVth9\n7I0IrmkIb836ko7rHABZ1PLBNU5hJongCqSBHSoiSsESAK0rrMXVHee03uy2k9xHVM263uA6B0AW\ntXxwjVv2neAKNJ9tfaCqMJBtzfgbt1+MuWOpNou93kj6WPwtulznAMiilg+uX/qSKcIQFcEVaL7R\no810cLC5xwEgWb/4RfDyKMPU1OqZZ5LfRyWNut4YObL08QsvNGa/ANBIKehIU5ugMvvlzJ8vbb11\nMscCIJozz5Quu8xU3gSQXRdfbKa77y499JD0xBPSmjXSdts197gaJW5w/c1vqtvPKaeY6dix0vHH\nSw8+WN12ACDNWj64xjVzZrOPAMDIkdKpp9JVGGgXRx5pguv22zf7SBorTnGmnh7piCOq209Pj/T/\n/X9Sf391rweAVtDyXYUBtKZcjuAKINuiBtehIVOsrtZKyGmopAwASSG4AmiK3t7wiqMAkAV2qL5K\nFdTtCAm1FnGKOjQgALQi3uIANAUtrgDaRaX3urhD+wFAOyK4AmgKgiuAdlHpvS7u0H4A0I5aOrhG\nKXYAIJ26ukxV8KuuavaRAEhauxZG3HxzM210cN1jj/ptCwDSoqWDK/fHAa3vxhubfQQAkrL33tJf\n/yodfbQpQNQoQ0ON3V+Y7baTrrmmscF1aEh64IH6bAsA0qSlh8OhmyHQ+vgCCsguN5DVWngojkbu\nq5Iot0XUM7im6WcHgHpq6RZXgivQ+vg7BrKLezfNz1/pCzp+TwBQGcEVQFP19zf7CAAkhUBmqgVT\nVRgAakdwBdBU/B0D2UVwbXxXYQDIqpYNritXSmvWNPsoANTq8cel115r9lEASAItiQRXAKiXli3O\ndM453pv8JZc091gAxHfAAWb6xhvSZpsxvBWQRQQygisA1EvLtriuW2daXd/2NumMM5p9NADimjJF\n+ta3mn0UAJJEIKM4EwDUS2LB9eabb9aMGTM0bdo0XXzxxXXffj4v9fXxRg+0Mv5+gWwjkNHiCgD1\nkkhwHRwc1Gmnnaabb75Zixcv1rXXXqvHH3+8rvvI56W1a3mjB1oZf79Adm3YYKbdLXtTUn1EqSpM\ncAWAyhIJrg888ICmTp2qyZMnq6enR8cdd5wWLFhQ130QXIHWx98vkF2EMSNKiytFrACgskSC6/Ll\ny7X11lu/+XjixIlavnx5Xfdhgytv9EDr4u8XyC7CmEFXYQCoj0SCa0dHRxKbfdOiRdI993CPK9Dq\n3L9fxnNFlgwMSDNmSL/+dbOPpHmuvtrrLtzOogRXflcAUFkid55MmDBBL7zwwpuPX3jhBU2cOHHY\neuedd96b8/vtt5/222+/SNvfYw8zpasw0Nrcv9977pH23795xwLU0z//KT35pHTssdIxxzT7aJrj\ni19s9hGkQ5Sqwo88Iq1e3ZjjAYAkLVy4UAsXLkxk24kE1z322ENLlizRs88+q6222krXXXedrr32\n2mHrucG1GuvXE1yBVub+/TKOK7KE8xlWT49pgR8akjrL9HPjegZAFvgbI88///y6bTuR4Nrd3a3L\nL79cBx98sAYHB/XRj35UO+ywQxK74o0eaGFdXc0+AgBIVkeHude3UJBGjAhfj+sZACgvsSL1hxxy\niA455JCkNv8m3uiBbEj41ngAaBp7n2u54EohKwAoL5HiTI3EGz2QDXStRJYMDDT7CJAmUQo0lQu1\nAIAMBFdaXIHW5baycqGPLKFKNlxRCjRxPQMA5TU1uC5YYC5cwyoPdnRI229ffhtr19b/uAA0xiab\nePNc6KOV/etf0qxZUn+/NG9e6fnc0SG9+93SLbc07/gajR4Upcq1uNrf1S67NO54AKAVNTW42vHt\nvv3t8HWeeqr8Nl58sX7HA6CxZs0yXz7NnVu5NQJIs7/+VXr0UWnNGun668357Lag3X67+bK2XTAm\naalywdX2NvnmNxt3PADQipoaXOvxwcY9rkBrGztW2mwzWlzR2myrWT7v/ZsyJXiddsDfc6ne3vDf\nST4vjRlDlXUAqKSpwbUeH2zcEwK0viiFS4BWUCiY8TrfeEMaN67ZR9M8/D2XKvcel89zLQMAUbR8\ncKXFFWh9BFe0OltozJ7HfX2mN0G74u+5VKXgyrUMAFTW1OD6+uu1b6Oz5esiAyC4Iivsebx27fAW\n13Yaq5i/51LlqgrT4goA0TQ19pUrrLR+fenjwUHplVeSPR4AzZHLSStXNvso6q9YrM8XdEiPgQHp\ntdfMfH//8FoN9rkVK6TRo0ufe/nl5I8vLQiupeyXcytXSqtWmfPm1VfNe8TTT/MlPABE0dS3ymee\nMdPNNhv+3KhRpY/POEN6y1vMvUPd3d7yww9P7vgANMaiRdLXv97so6i/v/9deu97m30UqKdZs7zP\nrDPPlH7+czNvCy8ddJCZXn659OCDpa/97W/bZ0gc27r4+c839zjSwgbXTTc1w4Adf7y0+ebSNddI\nBx8s/fvfzT5CAEi/7sqrJO9d7wp/bupUM33oITMtFKQttpDuvVfaeuvkjw1A8latavYRJGP1ajM8\nCrLjySe9eff/d2ho+Lp9fSbQul2E22UIt3xemj1buvTSZh9JOvhvh3jgATNdurQ5xwMArSgVnVOi\njN/Y32+mdpgB7gcBsiOrf8/2/QrZ5P7/2rE4XVk9r6Pgc7qUfzgce74EnTcAgGCpCK7lLuzs/UN2\nHYIrkD1ZrahZKBBcs8z9/w36f87qeR0Fn9Ol/MWZ7PkS5Yt7AICR+uDqf3MnuALZk9W/53yeC9Os\nGhws/f8N+hzL6nkdBZ/TpXI5r+eY5J0v/kKUAIBwqQ+u/osCe6HQzt9kA1mT1Qtcugpnl/2/Ldfi\nmtXzOgo+p0vlcuaeZ8te27jLAADlpSa4rlghPfKIdM890kknlT7nThctMlWFKR0PZEdPj5kGFbhp\nZQTX7Ko2uN5zT7LHlRa0uJbK5czYvpY9X264oTnHAwCtKBXxL5+Xjj1W2nVXaZ99pJ/9rPQ5STrs\nMDM97jg+DIGs+c53zDRr3WoJrtlzwAFmGiW4XnWVmZ59tjRjhpm/8srkjzENCK6l/MHVsst+/OPG\nHg8AtKLUBNewC9aBgeFjt/JhCGTLpEnSuHHZC3kUZ8qejTc2U39wLRSk887z1svlvOHc5s+XHn+8\noYfZdATXUr29JqROmCCNGFH63MiR0oc/3JTDAoCWkorgWih4g7f79fYOv/jjwxDIHv9wEVmQz5si\nPoODzT4S1Iu/3oL7eNw4b712v7+T4FrKtrjmcsPPDX5PABBNKoJruYtVW0Ke4ApkWy6XzeAqZa8L\ndDuz/5f2c8ktIOgG13b/nCK4lrLFmXK54b8Xfk8AEE1LBFd/V+J2/yYbyKIsB9es/Vzm4kh1AAAg\nAElEQVTtzD+meFiLa7uHEaoKlyK4AkDtUhNcOzqCn7MXs7S4Atlme1dkCcE1e8oF11GjvPXa/XOK\nFtdSbldh/++FgA8A0aQiuJa7x3X5cmnrrUsv/LhfDMiexx+Xvva1+K/bd1/p1VdLl5155vDxEZcv\nN1+QXXxx9ccYl38carQ+27J6223SypXSrbdKP/qR+b92A0lQaNt669LHr70mffnL0fb7xhvSF75Q\n/XE3GsG1VC4nPfOMeQ/y/16mT2/OMQFAq2lqcH3ySXPB2dVlqgf7vfiiN5/PS6ecYuZXrmzM8QFo\nrOuui/+au+6SHnusdNnPfy699FLpsvvuM9Ozz67u2KpBi2v25PPS2LHS97/vLfvCF7yg9sgj5nFQ\nK9qdd5rPO+u556Tf/Cbafl95RfrpT2s79kYiuJay58PAwPBW11/9qjnHBACtpqnBdfp0adNNg6uJ\njh8vvfWt3uN8XpoyxczzYQignLSMn0pwzR4bXPv7hy/P5aSddzZD5gR9Tm26qRn6xH1N1HMjLed0\nVATXUnZIv+5uc80zebL33NixTTkkAGg5qegqHFSUxX/Paz4vjRlj5t0xXQHALy0X+VQVzp5CwXQV\n9ndFd4Na0H2Mdrl7XmY5uFKcKVzQkDgAgMpSE1wrXdi5FwVhhZwAtCf/PfJpucinxTV77D2u7jlX\nLEYLrj09pquofW3c4FquHkTa0OJayl63FIvh5wcAoLzUBNdKH958CALwGxoqndr5DRvS0cpJcabs\n8Q974y6vFFw7O0149Y8FG3W/9jWtgM/scARXAKhOaoLrunWly/zfKq9fzxs9gFJuAPAvS0NYzOfN\nrQ1pOBbUR1Bw7ego7RpbLpi4X9T6xyivtF93mnYE11LuNQ3BFQCqk4rg+tRTptS/9f73Sx/+cOk6\nfX1ecSYAkLxCN4cc4i0LusA//njpgx/0Hi9bZt5zpk5N7tieeEJauNCEnFYJGyivWDRB8/77hz/n\nBrVttpG23z54Gza4vvqqdPTRpneA22MgbL8HHmjmG93i2tER//acV16RFiwgnLmmTfPmbXDdb7+m\nHQ4AtKRUljn6zW+8IQOKRVOhsa9P2m675h4XgOTcead07rm1bycouP7pT6XrrFplWsdeeKH2/YWx\nw3mNHUtwzYqBAfPZZM+bnXeW/vlPM+8G1wMOMP+C2ODqDgGXz5dWGw7ar7tu2q1da6YEV48Nrh0d\n5r0nl5Nuuqm5xwQArSYVLa5+7jh3knmDHxzkQxDIsij3ukcRFFyDWrQaVexm3LjWuS8R5dnuwPaz\nyA5j4i/OVI49z93zLkqNh6jrpgmVc4ezxZn43QBAfKkMrn72DZ43eiC7kgyu/uBog0bQc/VGV+Hs\nsOHUBlTbSloomC6/PT2Vt9Hb663vbrfSfqOumwb2Z2PoumDc4woA1WmJ4Grf4AmuQHbZC/paBRVs\n8l/sDww0rtgNwTU7bHB1izDZ5b290e4FtV/QxAmjrRZcW+EYm4ngCgDVaYnvQ+2FAuO3AtnVyK7C\n+bwZmsS/Xj0NDprpmDFcyGeFv8XVDR9Rv1i157l7S0yUccyD5tOqFY6xmQiuAFCdlmlxdd/kW2UA\ndgDR1Su4/vznZnrvvWbqH2pLKh0/M4muwqtWSb//vZnv6ZGuuKK0ayhakw2uNnS64TNqt9g33jDn\nxquvlm7X71//kvr7zbx7ji5eHO+Ya2G/fInLHi+f1cPZe1wJrgAQXyqC6wc+YKZXXCHttNPw591i\nGNdeK111VeOODUBj1Cu4Xnqpmf7612b65S97z9khtdyumkm0Dp18snk/k0zV2SVLpF/9qv77QWPZ\n4PqjH5nHX/6ydOihZn7VqmjbeOwx6eKLpdNOK92u32c+I/31r8OfP+WU+MddrRtuqO519nh32aV+\nx5IFP/mJ9L3vSXPnSocf3uyjAYDWk4rg+ulPm+mHP2y+ZfZzv5087jhp330bdmgAGqSW4DppUvhz\nfX1mesEF0tNPmwvGpIPrmjXevG2Vo/tk67NVhffe27Sc7byzdNll1W3rtde8+aBzo7+/cfdhh7Et\nvnHl89LBB0ujR9f3eFrdSSeZc2fOHGn//Zt9NADQelJxj2ul4kuUjgeyL25wdbsx2tcFdW2097fa\nrpx2P/ae+aRDAV0CsyNoyJtqP5sq3bea9JcrSYo6NBAAAHGkIrgG3S/k4n4QIPt6eky132IxWiG2\noAv/sADgIriiWkGBrNr/31YIrtXeo0pwBQAkIRVdhSshuALZ19lpwmvUYklRg6u/u6MNrnY/SYQC\n94Kf3iLZUc/g6la6Djrn0xBcXXGKi9ku1QAA1FNLBFe3OBOA7IrTXbjaFlc7XmySVYVdvHdlRz2D\nq3+7QcvSFFzj/J3Q4goASEIqgmulDzhaXIH2ECe4uhfSg4Om2In/4npw0BuvdcwYbx+nniqtWGEe\nJx0KttjCTBkapPXV8x5X17x5w3sGFAre+Zzklyt33in95S/l14k7FjHBFQCQhFQE1112MUNGhCG4\nAu0hbovrpptKzz9vHi9c6L3WVicvFKTdd5dmzpQ+8QlvH5J0663edurN3j97992m6uzmm9d/H2i8\noC6wnTE/Rf/wB2/+sMNMpfyBAenZZ0vX87e4vutd0i9/KW2zTezDLuvWW6Vbbgl+bmBA2m03adQo\ngisAoPlSEVw7OqRZs8KfJ7gC7SFucN1iC2nrrUuXzZxpxoMeN867+D/+eHP/rN2HXdedJmGbbUxr\n1Qc/mI7unqhNWCCL88XEttt68zvuKG20Ufi+3HN0+nQz/E69h5hxW3aDjmH27PgVvwmuAIAkpCK4\nVsJwOEB7sPefRhF0cewusxfb/vXsfCOKM/mPBa2tHoHMfy4GfbYVi8ODq/0Ct97nkbufoOeq2S/B\nFQCQhJYIrhRnAtpD3BbXWoJrI1pcCa7ZEhbIogzfZLlBNZfzuhoPDHjL7XyrBleqCgMAktASwZWu\nwkB7aERwtRfUjagqTHDNliRaXN1t++fTElzj9IRwXwcAQD0RXAGkRtyqwv5WHXeZvdj2r2ffS/r7\npa6uxrS4xr3wRzrVI5C556I7756H/mrC9hxO4jwqF1wLBboKAwDSoyWC61vfKm25ZbOPAkDSol4g\nX3SR9J73DL84fs97vGrBuZx0wQXSz35Wul5Xl5kuW2aGyznjDNPV8/e/r8/PMG+eqSYsed1AV62S\n5s+P16UU6RPWBfbQQ6V99422jREjvPlczjsnglpcf/AD73GlANnRUfovqny+fHGm3l7pvvukffYx\n2/3a16Sjjiq/H4IrACAJ3c0+gChOOqnZRwCgEXp7owXX3/7WTLv/7x1s5UpTrXXNGm+dXM5bL8pF\n9H33Se9/f7zjDXLttWZ6553estWra98umi+flzbbbPjyH/84+jZGjDBD4hx+eOl56YZH92/AFmqy\nwbVQMMvq9SVIoWC+wAkSFEBvvFH6+9/Lb5PgCgBIQku0uAJoD/bCvBJ7YW8v3oNaonI5r8hNMy6i\nw+5lROuqVyBz7322FaiDWlwlcw7b/XZ2mh4DbiEnKTx4RhHlHte4KM4EAEgCwRVAakTtKmzDbaXg\nGjRvg0LSggpCobUlEVzdbYfNBxUd8x9XtZIIrrS4AgCSQHAFkBpRg6tdx4bQri7vflJ3W0HzjWLv\npZW8Ls1oba0UXIeGoh1LlOJMcRFcAQBJILgCSI24wdXlb9UMq97q3hvoD7tAOfUKZG7l66DiTP77\nXYOqZfuPyy9q9eFKxZkIrgCAtOCyDUBqRAmuy5ZJL78c/FqX2+IZdhE9Zow3v3Sp9O9/RzvOIK+/\nLj3/fPWvR3qtWmX+b5ctq0+376AW1yee8HoQPPect/zJJ6XFi71116+XXnqp9Fy9997h+3jwwWjd\n4v0trvfdJy1YUFoUKi6CKwAgCQRXAKkRZZzKrbcOXm4vlD//eTP9zW+GPydJBx3kzZ9zjjf/m99I\nU6ZEP1a/o4+WJk3yHm+7rTd/wgnVbxfNN2eO+b+99976dxW2VfO//W1p4UIz754vBx4oPfaY95o1\na6TZs6U99vDWOeqo4ft417tKK1uHKRRKg+vee0vve595rR0O50Mf8p6P0gWZ4AoASALBFUBqRO0q\nbLndfu2F8mc+E7xda9Ik6cUXzfzcudJdd8U/ziDLlnnzP/pRaWvuLrtIjz4q7bBDffaFxlq61Juv\nd3DdbTfpzDPN49dfL11v1qzw/a5bV3k//u0FCbvHdd06L4Cefba33H6x9MUvSjvtFLxNqgoDAJJA\nyRAAqRE3uPpf606Dngtat5ahRFyVumXW8rOhudz/2ySKM4Vts1yBsXqN55rPB/8N+MePdde3x1Pv\nasQAAJRDiyuA1Igb7oICRdzg2qiWIYJrNjQruAYFVP94rtVwizP5A6ytKkxwBQCkAcEVQGrUEu5s\nAA26YPaHUzcw1NpiFRXBNRvqXVW43DYr7ase55PbVdjdXkcHLa4AgHQhuAJIjUZ1FbYVh93Kw9aG\nDdXtv1IAJri2rqB7qWvhD6z2sb+7eZTgGqVycBjbHXhgwBRdcs9Pt6uw+8VPf793bARXAEAjEVwB\npEZPj/TDH0r77istWjT8+QMPLH08YoQ3b1tPu//vzv3Ro0u3G6SjY/hYrg88EO+Yr7nGVDJ+9FFv\nWXdA9QCCa2saGir9MqMeXcs7OkpbMu0XKD/7Wel6y5d780FfsuTz0pVXhu/nW98yhcJcL78sHXmk\ntM020pZbmmW2mrd7fv7+99KSJeY5d9+24NOoUcEVwP/9b2nlSoozAQDqj+AKIDXsUBt33WUq/vrd\ncYeZ7rmn9Le/SZdf7j1nW4Zs69jf/mam//3fwa2hd9xhLtx32kn61a+85ccdF++YP/IR6bvf9R5v\ntJE0b97w9Ww4qKWFDI3X11f6uF4tiX/6kzRuXOmy//1fMx071gTHf/7Te+5tbzPTr33NW5bPS5/8\npJm//HLz3M9/Lp14oll2553Sxz9euo8rr5RuvFF64QVvPGT7pYobXK++2ntu443N8Rx1lPcl0Akn\nBH8R89Wveq8DAKCeqCoMIDXc1s9yAe8nP5FmzChd5r8Xb7vtzPTgg4O3sf/+3vyxx3qBtdZW0a9+\nNbiFt7PTtMQODNAa1Ur8XcfrFcjc88/vLW+RdtyxdJn929hzT2+Z2+L56U9786tXD2+9LSeX81pc\np06V9trLBGD7nGTGdp0wQfrd78wxjBhhvmgaHCxtkbVfPnGOAwDqjRZXAKlU7l7TsAJMQcOHxA0a\ntQbXcvuju3Dr8XeHbURLYrl7RIMKJcUR9IWQPS/t+Kthw/D4i5oFnc/299WoomcAgPZBcAWQSuUu\nysMKMLnLbatn2P2t1ew3CoJrtvj/v1o9uIZt03YV9v8dlfsyKOh85vwGACSF4AoglfxjVAaN2ery\nX3BX2+JDcIXL//8VVHgriX3WElzj3kfd2xseXN2f1x9c7X3b/mMHACAJBFcALcENskH3z/kvuKtV\na/Ekgmu2+P+/GtEF1nbZDVJri2vQ8ZdrcQ3ad7kW16BKwwAA1APBFUBqTJoU/px7gRzW4hp0sb/x\nxvGOYfPNK6/z+usmAJx2WvBxhHn2WWnKFDN/5JFmG6+9ZqbcE5hOjfiiYfJkb76jwwuQ9tydONF7\n3j2/gipvS9K22wYvP+ssU2Xbzy3OlMtJL74Y/Hr793Xbbd7r/L+fhQuDXwsAQK0IrgBS46CDwp/L\n56UxY6Q1a4IDqr+ojCT195vxKqNYt0763vekI46ovO6qVWb6/e97y+66yzuOKG680Uxfeina+miO\nQsFU+ZWkv/41mX0cdpj0+OPe485OU6n3lVektWvN2KhWlPPLvz3rW98avuyMM4a3uC5dGrxd+/e1\ndq33OCjY77575WMEACAugiuA1HK77ebzZtxL/9iXVlAXxzhdh0eNksaPj9bCFtSd2LYW19JdmTFe\n0yef91rhw869ehg/3pu351B3txnT1S0wFvX8crdXjv27Casq7F/X/zjo7yXJ3xMAoH0RXAGklnu/\nXD5fvrWpHve4BhWbCeIvHCVJI0eaoBH3GNywGrRdNJf9wkRKtqKwu213XNRy60Xd3uCgmYZ9MRL1\nHld/Yaqw4NqIyssAgPZDcAWQWv7gWqnwUa0XzFGLJwWFW7v/uMfghlUK26RPM4JrvderdE6Xqyrs\n8t+HHfZFD8EVAJAEgiuA1HIvuNMUXMNamaIew9BQ8LaoOJw++bzpris1LriWK9QV9R5qd71K55W/\nxTXqPmhxBQA0EsEVQGqtXm0KIQ0NSStXVr6gj3rBHSaXk555Rlq/vvx6QRfrPT3Rj+E///Hm3X0R\nXGv3zDOlXwwEee21aNtascKcfyNGmG6ytZ5f5XQ6n8blzr9y3YjD1rPnVbmuwoWCqSacy5UeSzn+\n4Gq7JEc9RgAA4iC4AkiVrbby5vfeW5o3z1TsPfBA6ZFHwl+3007SO95R275zOenpp6VNNim/XlDA\n7OyU3vc+aYstwl/31rea6ZZbesvOO6/8dhHdkiXS1KnSD38Yvs4dd0ibbRZtexMmSJ/6lAmsxx/v\ntbwmLe69zp/6VPnn83lTNdu1zTbSdtuZCsQ2gF5wgfSXv0gnnmjWCft7OvdcM/UHVztvXw8AQD11\nV14FABpn+XIz7eiQXn1V6usz/yrZZx/zrxa2Ra2/v/x67sX6l74kXXihmf/BD8q/7sUXh7caP/GE\nmW67LcG1VnaYFnsOBXnllfjbzeWkK66o7pjiKBajjedbLJqQPn26OX+23z58valTTWuqey/qhg2l\nraK//KV37q1ZIx18cHjrrLs8KLhutJF06KGVfwYAAOKixRVAqtl77xoh6r157vHUej+f7RY6ejTB\nNa3SeM+mPaZK3ZfdoW4sf1deN4DG+Vn9xZkq3YcOAEAtCK4AUi2NwdW9WK/1vkfbmmzvM0Syqhkr\nN41hzB5TpWNzCy+FsVWFo2wvaNuWHQcWAIAkEFwBpFoag2s9W1zd7dDiWpsNG0qn9ZL14Op+aVJL\ncKXFFQCQJIIrgFQrFBoX6KJWQyW4ppMNX+V+j1HuIfVLYxird3C1z8dpMSW4AgAaieAKINX89+c1\nyrJl4c/l8+aeVKl5wfW++6TLL6/PvrPC/v7K/R4XLjTTcgWc/NLY/dUeUzX3uAZt61e/8taPyn/O\n3n9/vN8rAABxEFwBpNKpp5rpqlXm4vgtb5G+971k9zlxorT55mb+pJPC18vnvaFR4t4zufvuwcvj\nBte995Y+85l4+846+/vbdtvwdexQOccfX35b7liwjWxF/NnPpN//vvJ6XV3SddeZ8YPLsQWU7O/G\nBlTX8uXS88+b+Z/+NPqx+oszfexjpioxAABJILgCSKUDDjDT/n5z0b3VVrWP01pJR4d01VVmvlwg\nLRSkESO818Txvvd583Y80T32GB4CEJ8NZ1HGQY0z5FEjg+sJJ5SeI+Ucc0zl88/tKrzvvtKxxw5f\nx7bajhhhvryJiu7tAIBGIrgCSD174d2IABFlH/l89d1H3fto7TZyOUJAPUTpKmxV+pKgWcG13tzg\nGvZzuOdhNdsGAKARCK4AUs/eo9eIABElkNYSot0WMttqO2IEIaAebBiN0nJd6XedxeAadm53dnrr\nVrNtAAAageAKIPWa0eJarqtwvY7FrQxLCKhdnBbXSuvUc6zeZorS4mq/TIn7c3LOAgAaieAKIPXS\n2FWY4Jo++bwJYfXqKmwDXSu3uLrFmaIMnRMH5ywAoJEIrgBSadNNvfk//1l65ZXGBlcbWjo6pCuv\nLF2nUJC23NLM2wJLUdnXSdLMmWY6ZYoJGKtXS5/8ZPxjhvHZz5qW8rAw9fDD3vwLL5TfVj4vjRtn\n5ls5uOZy0uc/L514YvjPYc/JuD+nHUbnl7+sbnxcAADiILgCSKX99vPmn3vOTBvRZTPo4v2cc0of\n5/PSwQdLjz0mHXlkvO2ffLK0eLH0n/9IP/6x9OCD0kUXmf2uWCH9+tfRtrPnnmYadziedhAWXP/4\nRzOdNi3aNrISXIPmXaecIo0ZU12LqyRdeqm3zP6OAQCoN4IrgJbR6K7CYaHQdrucOTN+S1NHh7TD\nDma82N5eMxROT4/ZXl9f/K6XDKEzXNjvxP5fzZpVeRvuWL1ZCa7lijNNmFB9cHX/Buw4yAAA1BvB\nFUDL6GzAO5a9uC8WvfFA/eOCJnG/bS4nrV0bPbjGKUTUbir9TmxLaqVt2ODa6sWZguaD1qs2uFZa\nBgBAPRBcAcDhXnjbAORvwUsyuA4Omn+VEFzDhf1ObAu6DaRDQ+HbKBRM91mptcNYnOBaTVXhKMsA\nAKgHgisAOIKCqz8IFQr1b4Xr7TXBNWh/QeKMWdpuwn5/GzaYaU+PmZb73eXzZnzd3t7WDmPueVru\n56jm5wz6G2jl1mkAQLoRXAHAYS/eN2wIDkD5vAmYSbS4rlxp5levDl5naMjcB9vfb6Y9PbS4BnF/\nJxs2eC2r/t+V/X2769lu4atXe91nWzm4NqKrsHsveCv/rgAA6UZwBZBa3d2N36e9j/Zvf5Oefrr0\nuVtvNa1w996bTHB98UUzP2GCdP/9w9c56ihzf+bIkWZ4oHHjCK6WDU8f/WhpS+q4cdLZZ5t520X4\n3e820wkTpL//3Xtu111Ni+Err0gnnST97nfS/vtLG2/cmJ8hCW4LaLnW0FqC66JFw5cBAFBvBFcA\nqTUwID36qJk///zG7ffOO830P/8pXb50qTdf7wv0rq7SxytWDF/ntttKH48dS3C1NmwwX3R89rOl\nv5P166WHHjLzdkzTQw7xnre/5/5+6V//MvN9fd7zCxZIo0cne+xJcguaUZwJANDKCK4AUs1eCDfy\ngtjuyw1A/qFx0nCBTourxxbMyuXCfydJFNVKu6jdeAmuAIC0I7gCSDXbvbGRF8R2n24AKhRKx6ts\nxgW6f1ieMWMIrla54Gr/34KCa9A4vLaIU9ZUKs4Ut7BS0PrN6N4PAGgPBFcAqdaMFlfbvfL1171l\n/jDUjOqp/iq4I0ZQVdiqZ4trVr8MaESLa9AXAQAA1APBFUCq2YvjZgRFOzyNZMKM2+0yDS1L5UJa\nu8nnvSFdCK6eqL0E6hVcAQBISgouvQAgXDNaXC03uP70p15VWin5liU7hEs5BFfzf3T99aYScC5n\nwuvq1dJXviLNmmXWuftuac0a6cEHpSlTSl+/YcPwrsEvv9yYY2+0elcV7uSrbwBAA/GxAyDVmhFc\nZ8ww074+aa+9zPwXv1i6zhZb1HefBx9c+jioC/Dhh3vzY8YQXCUz1M3JJ5v/Hzd8XXCBdOyxZj6f\nl846ywxxZJ//5Ce95264oXSbp55qpn/+c/LHn7RDD/XO3XJ/Q0cdVVptOaoDD/TmL7gg/usBAIiK\n4Aog1To7TbfcRlcVPvxwE1y32cZbblvmfve7+ncVHjeu9HFQIB0/XjrvPDP/4IMEV0l64w1vPpcL\n/3+x69nz6Ac/kE44wXxB4P+S4LXXpIMOMv9a3UYbSV/6kpkv9ze0zz7S7Nnxt3/RRWZ63HHSuefG\nfz0AAFERXAGkXjXdGOuxz7VrS/fbyJAYtK983gu4lQoRtaNcrnIXbvf/M+z3t25dtu7fTLLXQjPv\nQQcAtBeCK4DUs0V3GqlccPWP6ZqEsOBq77O193O2e1VhN6hGCU9BwTUo7BJcm79tAABcBFcAqWdD\nWqP32cwW16BA6ra4Vqqg247KhSfbzTtKi2ulbbWari7T5T6JvyHbNbunp/7bBgDARXAFkHpp6yrc\niLEqo7S4ElxLlTtH7O/JDW/tElyl5P6G7N8C47cCAJJGcAWQeqNGmX+N9PLL0r//XRp05s8309Gj\nk9+/DVRnneUNjVMomGrCktfiunatCQ2LFiV/TI02MOAVFgrjdtuOElyDWlyDhh5atiz6cbaCUaOk\nkSPrv13797HppvXfNgAALoIrgNS74QZviJpG+ctfzDSXk554wlu+//7S3LnJ7HP5chOWzz7bC1SX\nXOKFrnzeHM9TT3ktaC+8YJ678spkjqmZVq+Wvvvd6OvbUHr//cOfs12v3eBq7xEuFIZX1L3llnjH\nmnb33itttln9t7v11tJtt1FRGACQPIIrgNSbOrXxXRHdojPbb+/dW7rTTskdy1ZbSdtuK73lLSak\nuoHVTnM5ado079iy3FXY/R1EYVv/9tyzdPk22wQHV/v7KxSkXXctfT5r92zacyYJBx5IVWEAQPII\nrgAQwF6I+6umNuICPZcrHV/UH1zdY1y3zszb4kNZUiiYVufBwWjrh3UVdgN+UHB1f68M7wIAQDoR\nXAEggD/I2OqpXV2N2bfb2ugGWH/w6uvznssaf4tzELf1u1xw7e8fvk654Jq14kwAALQ6gisABAgL\nMI3osuwPrm6A9VfFXbu2dJ0siRJcoxRncltcg6oKE1wBAEg/gisABGhml9He3vL3uFpui2vQuK+t\nLkpwHRjw5ssF1zfeMPNuiznBFQCA1kFwBYAA732vmdoA8+KLZuov/JOEXE763//1Cup88IPS3/8e\nHFyfe87Mb7558sfVaHvtZaZBwfWQQ6RnnvGe23jj0i8Z3P8nt2XaHcrIVhW2v9fubmmffcxz739/\n/X4OAABQO4IrAAT4ylfM1F9d9qijkt+3v7VvyRIzrmxQcSZrq62SP65mCWpNfvZZ6ZVXzO9kwQIz\njqj7u7n/ftONuFg0v6e1a816dhxcqbSqcG+vab099ljz3MUXJ/ojAQCAmAiuABDA3sva6GF4pOHd\nkwcHpfXrzdQN0m5Qy1pXYbeScFCLq+3ia0OnHdc2SC5ntud/PqirsC3CZacAACAdCK4AkDJBYbmv\nzwS0sCq6WSvO5P48YcHV7eZbKbhKw78QCAquzfzCAgAAhCO4AkAZbtXaZu7TBldXloOr24Ic9LPZ\n0BonuEZpcQUAAOlEcAWAFtDXFxy8rKwF1ygtrkkE12Z8UQEAACojuAJAC1i7NuEFv6wAABkYSURB\nVH3BdfHi+mzn7rulv/5V2rDBWxY3uPb2hg9dZO9XDfr9PfqodOONtLgCAJB2BFcACPHRj0rvfKeZ\n/9jHpLe/vTH73X334cuCgqsNarlc44szrV4t7b13fbb1rneZ3/PVV3vL3LDq/9mKxeFdhY89Vtpl\nl+Dt//a3Zhr2++vv9+bf9jbp5JOr/1kAAEAyqJsIACF+9CNv/n/+p3H73Xjj4cvKtbiedZb0j38k\nf1yu9evNv3rq6/Pmy7W42iBrg2tvr/mSIYxdv9w9wnZ+/HjpmmtiHTYAAGiAqltczzjjDO2www7a\nZZdddNRRR2nNmjVvPjd//nxNmzZNM2bM0C233FKXAwWAdrZ2bXjwGjeu8V2F83kz7unQUHLbD5p3\nHxcK5l+lbr7l7nG1wroZAwCAdKg6uB500EF67LHH9Mgjj2j69OmaP3++JGnx4sW67rrrtHjxYt18\n88069dRTNZTUlQ0AtIlyxZmaFVyl5Lool6sq7G9xrUdw7eTGGQAAUq3qj+q5c+eq8/8+6efMmaNl\ny5ZJkhYsWKAPfehD6unp0eTJkzV16lQ98MAD9TlaAGhTaQuuNjwmFVyjtLjWM7gCAIB0q8t3zFdf\nfbUOPfRQSdKKFSs0ceLEN5+bOHGili9fXo/dAEDbCrrH1VbLHTmyeS2uSe23XHGmuMG1p8dMw35/\nEsPgAACQdmWD69y5czVr1qxh/2688cY317nwwgvV29urefPmhW6no6OjfkcMAG3o6afNvyAjR5pw\nVyxKl17amOOpV3B1h8CxFi0aXmH4wQelLbc0j884w0zXrTNdfLu6yu9js83M1L+e+9HUTalCAABS\nrexH9a233lr2xddcc41uuukm3X777W8umzBhgl544YU3Hy9btkwTJkwIfP1555335vx+++2n/fbb\nL8IhA0D2PfaYdO+90pNPSt/8pln27LPD17v3XlMJN583VX6/8AXp858vDWVJqFdwDXr95z5nxnXd\ndVdpr73MOqecIr30kgnnv/udWS+oFTrI9ddLN90U/NxVV0kvvijNmVP9zwAAAIyFCxdq4cKFiWy7\n6u+Yb775Zn3zm9/UnXfeqREjRry5/Mgjj9S8efN0+umna/ny5VqyZIn23HPPwG24wRUA4Jk50/z7\nwQ/Kr7fXXibQ2m6zkqn2m3SV3CSCq7+77syZ0oQJJpDbllm3hbavL9rPuemm0oknBj93yinxjhcA\nAITzN0aef/75ddt21cH1M5/5jAqFgubOnStJ2nvvvXXFFVdo5syZOuaYYzRz5kx1d3friiuuoKsw\nAFQpSotiLlcaXO3YpklKIrj672Xt7TU/2+rVwfsLKlgFAACyqergumTJktDnvvSlL+lLX/pStZsG\nAPyfaoPr2LHJHle9qgq7r7fztuU1lzP/CoXg4Bq1qzAAAGh9jFwHAClWbXBNWhItrv5t5XKm1dX9\n2dav954nuAIA0D4IrgCQYrlc5aq5vb2mVTLpsVVdjQqu/lDe1+c9T3AFAKB9EFwBIMU23dQbBmbz\nzYPX6e6WBgelWbPM40a2uB50kHTZZdVvZ+edvfnvfKf0uWefNcH0Jz8xRZokU7DJeu456dFHq983\nAABoHQRXAEixvfeW/vAHM3/vvcHr+OvfNTK4StKvflXbtjbeWDrnHO+x/XmWLvVam/feu7Z9AACA\n1kZwBYAU6+iQ7IhjzshjZTU6uNa6v1zO+9mKRa84k1sZee3a2vYBAABaG8EVAFLO3scZdYibRgRX\n9z7aavdnA2pPj9ey6o7T6t6/SnAFAKC9EVwBIOVsgItaiKhVWlxt+O10PoncbbktzARXAADaG8EV\nAFIubnBtZFVh/3wcQcfpbsv9ed1qwgAAoP0QXAEg5WwX4ahdhZ99NrFDeZMbMKsNykGB9777TIVk\nyXQhth5/vLRlFgAAtBcuAwAg5UaOlKZPH149OMynPy29+mqyx+SGzr32qn0bRxxhpocfbsKrJH38\n46XVhIeGvPmvftVMZ8+ubt8AAKC1dDf7AAAA5XV1SU8+Ge81SXcXdrdvx1iNyw2u7niukvS3v0lv\nf3vw6wYGTNfh88+Xvve96vYNAABaCy2uAJBBbutkEupxj2u515XrFt3dHf++XwAA0NoIrgCQQUlX\nFk6qOJNVKZDaYEtwBQCgPRBcASCDGhFc7dir9SzOZFUKpN3dpVMAAJBtBFcAyKBGBFcbLpPoKkxL\nKgAAcBFcASCD7rgj2e3n89Lo0d58FJ/6lPSvf5VuQwpuNSW4AgAAF8EVADLgwQdLH3/xi8nur1CQ\nrrpKuuii6MH1hz8srR6cz0tbby3dfvvwdd3iTLffLp18srR4sfSd73jL//AHacaM6o4fAAC0Fu4O\nAoAM2GMPadIk6bnnGrM/GzrHjzcBshqFgrT77tLkycOfc1tcDzjA/JOkHXbwlh92WHX7BQAArYcW\nVwDIiFxO6uhozL7sPa69vbUVZwrrEkxXYQAA4CK4AkBG9PY2LvDZ0JnLResqPDgYvg2/zk6qBQMA\ngFIEVwDICBskGyFucA1aJyy40toKAAD8+E4bADKiGcG1UKh/cHULMwEAAEi0uAJAZmy0kSl21AiF\ngtc1uZrg+vTT0mc/Kz3zjLfMFl6ixRUAAPgRXAEgI667TrrxRumGG6Tddkt2X3GLM7nrFIvSokVm\n/uGHveUPPSRdcgnBFQAADEdXYQDIiLFjzXTiRGloKLn9DA1JAwPVt7gODHjzbkgdMcL8DARXAADg\nR4srAGRM1DBZLdtNuKOjuuDqzvvvZ23kfboAAKB1EFwBIGOSDq5uUaWeHjPUTaUW3rDg6g+pjRzS\nBwAAtA6CKwBkTCODa0eHCZuV9hc1uNr7ZgEAAFzc4woAGZPLSevXm38jRwavs3q1mRYK0pgx0qhR\n5t7TYtG0oOZyUqfvq81i0WzTdhV2rVsXvi+pNKy+/rrZjj1W/7HT4goAAPxocQWAjOntlVatMmE0\nyB//KI0fb/5tsYU0erRZ/t3vmqq+o0ZJl146/HV33SUdd9zw8Vfzeel97yt/TIWC2ZckzZ4tfeQj\nZv7jHy9db7vtpL33rvwzAgCA9kJwBYCMqdRiuWxZ8PLVq72W2CVLwp/3B1dJuuee8vvM56U99zTz\n69Z5y22AtXbcUZo/v/y2AABA+yG4AkDGVLpHtFgMXp7Plx+TNZ/3/vmDa9g23dfSBRgAAFSL4AoA\nGeO/NzWqQqF8kaVCwVsnbggluAIAgFoQXAGgzXR0BC+3ralh7PNBxZkqIbgCAIBaEFwBAJJq6yoc\nZdsEVwAAUC2GwwEASDLhcs2a8s9XG1yraaUFAACwaHEFgDZTrjjTn/4U/rqw4PrOd1bep33Nxz7m\nLbv++mjHCwAAQHAFgDazYUPp40mTzLTc/a32+aDgOm9e8Hb9r83lpKOP9pa9/e3RjxkAALQ3gisA\ntBn/faz2caXgWqmqcKXCTrlcaXdh7nkFAABREVwBoM34A6Z9XK4wk13P/gu6X7VSYadcrjSsElwB\nAEBUBFcAaDNhwdVdHnQfrH1+3br4La62OJP7Ooo1AQCAqAiuANBmogTXoNZT+/zatdV3FXZfFzae\nLAAAgB/BFQAybGio9PE55wyv5rthg7TFFqXB8yc/kf7wh9L17PM//GFpAN1kk9LngwQFVwAAgKgI\nrgCQQStWSJ2dw8PkN74hPfGEdOaZ0uOPS6++apb/5z/D173ootLH9vn//Kc0gB59tLTRRvGKM/3P\n/8T/mQAAQPsiuAJABm25pTRmTHjBpClTpBkzpE039ZbZ4Dl5culjy92Wv8vvlCnxWlz33DPSjwEA\nACCJ4AoAmdXbGx4mg7rs2mBqn/OHXndb/sJKuVy8qsJ0GQYAAHEQXAEgo3K5eMHVrmufCyviFPT6\nciFZGl5VmOAKAADiILgCQEY1MriW25d9rdviylA4AAAgDoIrAGRU3OBaKEjd3V6oTCK4dv7fp04n\nnz4AACAGLh0AIKPc+04XLCgdNzUouPb0SCNGSLvuah5vv33p82HFmezjKMHVGjOm8vEDAABYBFcA\nyCg3TC5eXPqc21V35Uqpq8ss6+2VZs+WLrtMmjWr9DX5vHTaaWa+pyd8X0Hc4FosElwBAEA83c0+\nAABAMqJWFc7lpMFB7x7UXE4aGAjuKjxihJl3W2/tNqJUFQYAAKgGLa4AkFFR73G1ra9ucO3tDR4O\nxwbXOPuSvKrCAAAA1aDFFQAyyg2TxWLpc93dw+e7u73gWigEt7iGtZpWGg6HFlcAAFALgisAZFSl\nVtCw11QTXOMWZwIAAIiD4AoAGVXuvlN/C6wkvfKK9Na3hgdXt7uv//VhwfW116QVK6S+PoIrAACo\nHve4AkBGuWHSX0xp6tTh6/f3Sx//uLTDDsODaLFogusxx5jH++47fF9BIfl975N23tnMc48rAACo\nFi2uAJBRYfedBrW2Wh//uJn6g2uhYIbA2XLL4NfnctKqVcOXr1zpzfvDMwAAQFS0uAJARrnhc2go\n3mv9VYUr3aNazf20AAAAURFcASCj3DBZTZEm9zWVgmulqsIAAAC1ILgCQEY1MriGtbiW65YMAAAQ\nFcEVADLKLZgUVl243Gv997iWK65EV2EAAJAkgisAZFS9WlyffVY688zKLa5PPSV95StVHSoAAEBZ\nBFcAyCh/cD3tNOmf/wxe9777pCee8B6796z+8pfSb39bObg+/LB0wQWly20l4cmTq/oRAAAAJDEc\nDgBklhs+83lpv/2kWbOC150zp/Rx0LislYJrObNnl38eAACgHFpcASCj/C2ulcJl2Gttq2k1wdUW\nZ4qzbwAAAD+CKwBklNtqGje49vZKAwOl479WGg6n0rEAAABUi+AKABnltppWqgrs19Fh1i8UvFbT\nSlWFg9jgG2ffAAAAfgRXAMioWroK+19vH5dbN4ht8bXdjQEAAKpBcSYAyKhag6ttcT33XPP4+uvL\n78vlD6oUZwIAALUguAJARvmrCtfa4lpp3TAPPijtsUe8fQMAALjoKgwAGVXvrsKV1rXsPbFBzwEA\nAFSD4AoAGVVLVWH7+qjB1S2+tGHD8O0AAADUguAKABnVrBbX118Pfw4AAKAaBFcAyKhahsPxv74S\nd9tr14Y/BwAAUA2CKwBklA2ehYL08svxWz43bJDuvjvaum4VYX9wpcUVAADUiqrCAJBRtqrweeeZ\nx3ED5EMPmX/Wd74T7XUEVwAAUG8EVwDIKNvi+tJL3uNqDQxI3RU+MYpFafp0qa9v+HEAAADUgq7C\nAJBRtqqwrfJbKXiWE/W1udzwFtda9gsAACARXAEgs2yLa9QCS/Xap7/FFQAAoFYEVwDIqM5OqatL\neuONxu0zqMUVAACgVgRXAMiwRgfJ3l6CKwAAqL+OYrFYbMqOOzrUpF0DQNvo7DRFkyRvGpU7xE3U\n106dKg0NSUuXxn8tAADIlnpmPlpcASDD7GfFvvvGf+0//xn/Nc88Y0LrxInSL34h3XFH/G0AAAD4\nUesRANrAwQfHf82sWdXvb/Zsad686l8PAADgosUVANpAo8dSZexWAABQTwRXAGgDBFcAANDKCK4A\n0AYIrgAAoJURXAGgDRBcAQBAKyO4AkAb6O1tzH56esyU4AoAAOqJ4AoAbaDa4Lp+vfTGG9HX/8c/\natsfAABAEIbDAYA20Fnl15QjRsRbf/RoM6XFFQAA1BMtrgCAurGBleAKAADqieAKAKgbgisAAEgC\nwRUA2kCx2Jj9EFwBAEASCK4AgLohuAIAgCQQXAEgw844w0x3260x++vqMv+oKgwAAOqJ4AoAGXbJ\nJaab8KRJjdtnby8trgAAoL4IrgCAusrlCK4AAKC+CK4AgLoiuAIAgHojuAIA6orgCgAA6o3gCgCo\nK4IrAACoN4IrAKCuenupKgwAAOqL4AoAqKsLLpB23LHZRwEAALKko1gsFpuy444ONWnXAAAAAICE\n1TPz0eIKAAAAAEg1gisAAAAAINUIrgAAAACAVCO4AgAAAABSjeAKAAAAAEg1gisAAAAAINUIrgAA\nAACAVCO4AgAAAABSjeAKAAAAAEg1gisAAAAAINUIrgAAAACAVCO4AgAAAABSjeAKAAAAAEg1gisA\nAAAAINUIrgAAAACAVCO4AgAAAABSjeAKAAAAAEg1gisAAAAAINUIrgAAAACAVCO4AgAAAABSrebg\n+u1vf1udnZ1auXLlm8vmz5+vadOmacaMGbrllltq3QUAAAAAoI3VFFxfeOEF3XrrrZo0adKbyxYv\nXqzrrrtOixcv1s0336xTTz1VQ0NDNR8okFYLFy5s9iEAdcG5jCzgPEZWcC4DpWoKrqeffrouueSS\nkmULFizQhz70IfX09Gjy5MmaOnWqHnjggZoOEkgzPliQFZzLyALOY2QF5zJQqurgumDBAk2cOFE7\n77xzyfIVK1Zo4sSJbz6eOHGili9fXv0RAgAAAADaWne5J+fOnauXXnpp2PILL7xQ8+fPL7l/tVgs\nhm6no6OjhkMEAAAAALSzjmK5xBni0Ucf1YEHHqhRo0ZJkpYtW6YJEybo/vvv149//GNJ0tlnny1J\nes973qPzzz9fc+bMKdnG1KlT9cwzz9R6/AAAAACAFJoyZYqefvrpumyrquDqt+2222rRokXaZJNN\ntHjxYs2bN08PPPCAli9frne/+916+umnaXUFAAAAAFSlbFfhqNxQOnPmTB1zzDGaOXOmuru7dcUV\nVxBaAQAAAABVq0uLKwAAAAAASalpOJxq3XzzzZoxY4amTZumiy++uBmHAIQ65ZRTtMUWW2jWrFlv\nLlu5cqXmzp2r6dOn66CDDtLq1avffG7+/PmaNm2aZsyYUVKwbNGiRZo1a5amTZum//qv/2rozwBI\nZqzt/fffXzvuuKN22mknXXbZZZI4n9Fa+vv7NWfOHO26666aOXOmzjnnHEmcx2hdg4OD2m233XTE\nEUdI4lxG65k8ebJ23nln7bbbbtpzzz0lNeg8LjbYhg0bilOmTCkuXbq0WCgUirvssktx8eLFjT4M\nINRdd91VfOihh4o77bTTm8vOOOOM4sUXX1wsFovFb3zjG8WzzjqrWCwWi4899lhxl112KRYKheLS\npUuLU6ZMKQ4NDRWLxWLxbW97W/H+++8vFovF4iGHHFL805/+1OCfBO3uxRdfLD788MPFYrFY7Ovr\nK06fPr24ePFizme0nHXr1hWLxWJxYGCgOGfOnOLdd9/NeYyW9e1vf7s4b9684hFHHFEsFrnGQOuZ\nPHly8bXXXitZ1ojzuOEtrg888ICmTp2qyZMnq6enR8cdd5wWLFjQ6MMAQr3zne/U+PHjS5bdcMMN\nOvn/b+9eXtLZ4zCOPyO460KLHGUmKOxeMiNI7StpEUjhJhfmorZB/RG5qFXrIBA3tosIi4ISosAo\nirZCCmomFRF2AaO+Z3H4zcHOOYvgdyaH87x2c4MR3gs/Xr4TiQAAIpEINjc3Afz5PONQKAS73Y72\n9nZ0dnYinU6jVCqhUqkYn0LNzMwY1xCZxel0Qtd1AEBDQwP6+vpQLBbZM1nOr6cYVKtVfHx8oKWl\nhR2TJRUKBSSTSczNzRmPkmTLZEXiy79NzejY9MG1WCyira3N2FZVFcVi0ezbIPqWcrkMWZYBALIs\no1wuAwBubm6gqqpx3q+ev+5XFIWd04/K5XK4uLjA8PAweybL+fz8hK7rkGXZ+Pk7OyYrWlxcxMrK\nCmy2v96Cs2WyGkmSMDY2Bp/Ph7W1NQDmdPxbVhX+Dq4wTFYnSRI7Jkt5fn5GMBjE6uoqGhsba46x\nZ7ICm82Gy8tLPD09YXx8HIeHhzXH2TFZwfb2NhwOB7xeL1Kp1D+ew5bJCo6Pj+FyuXB3dwe/34/e\n3t6a4/9Vx6Z/46ooCvL5vLGdz+drpm2ieiTLMm5vbwEApVIJDocDwN97LhQKUFUViqKgUCjU7FcU\nxdybJgLw/v6OYDCIcDiMyclJAOyZrKu5uRkTExM4Pz9nx2Q5Jycn2NraQkdHB0KhEA4ODhAOh9ky\nWY7L5QIAtLa2YmpqCqenp6Z0bPrg6vP5kMlkkMvlUK1WsbGxgUAgYPZtEH1LIBBALBYDAMRiMWMA\nCAQCSCQSqFaryGazyGQyGBoagtPpRFNTE9LpNIQQiMfjxjVEZhFCYHZ2Fv39/VhYWDD2s2eykvv7\ne2N1yre3N+zv78Pr9bJjspxoNIp8Po9sNotEIoGRkRHE43G2TJby+vqKSqUCAHh5ecHe3h48Ho85\nHf+u1aW+I5lMiu7ubuF2u0U0Gv2JWyD6V9PT08Llcgm73S5UVRXr6+vi4eFBjI6Oiq6uLuH3+8Xj\n46Nx/tLSknC73aKnp0fs7u4a+8/OzsTg4KBwu91ifn7+J14K/c8dHR0JSZKEpmlC13Wh67rY2dlh\nz2QpV1dXwuv1Ck3ThMfjEcvLy0IIwY7J0lKplLGqMFsmK7m+vhaapglN08TAwIAxy5nRsSTElyWh\niIiIiIiIiOqI6T8VJiIiIiIiIvoODq5ERERERERU1zi4EhERERERUV3j4EpERERERER1jYMrERER\nERER1TUOrkRERERERFTXOLgSERERERFRXePgSkRERERERHXtD9kghsssg6c6AAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0x10f3d31d0>"
}
],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": "randwalk(nsteps=2500)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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hs5+W1qqJazYrbdpUODgTOzcAUH/2PNVNm6qb0sxuw93frUzGLHe7D3NQEgCA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ROBsWNVntF8Hnj33fD1jILUc+RIb+MUALZsAfbaC1i8WOVHlXynNgP2rruAc891jm1qUjkiFywA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\nXtjGnQZVXG311OtmK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"text": "<matplotlib.figure.Figure at 0x10ea3d990>"
}
],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": "randwalk(nsteps=2000)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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1c+bMV2/PnDlTvb29lX6aqojF/BFsm6ni6gLG2LF2zqEze3ZqwOrq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kAAAg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\n/k+dauf2b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"text": "<matplotlib.figure.Figure at 0x10d561750>"
}
],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": "randwalk(nsteps=2500,stepsize=3)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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saZ/3OI4F2v37bdupk9S9u3UfDoWktWu9a3v1aryFlu7GaAiBFgAAAMghjtN+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\nAiCV4/hfdN94QyotlfbskUaP9vfZu1dqx08RLea61j80kbDXs75Bmxo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"text": "<matplotlib.figure.Figure at 0x10d54cd90>"
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": "",
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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