{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# HIDDEN\n", "import matplotlib\n", "matplotlib.use('Agg')\n", "from datascience import *\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import numpy as np\n", "import math\n", "import scipy.stats as stats\n", "plt.style.use('fivethirtyeight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Chronic kidney disease\n", "\n", "We're going to work with a data set that was collected to help doctors diagnose chronic kidney disease (CKD). Each row in the data set represents a single patient who was treated in the past and whose diagnosis is known. For each patient, we have a bunch of measurements from a blood test. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Age Blood Pressure Specific Gravity Albumin Sugar Red Blood Cells Pus Cell Pus Cell clumps Bacteria Glucose Blood Urea Serum Creatinine Sodium Potassium Hemoglobin Packed Cell Volume White Blood Cell Count Red Blood Cell Count Hypertension Diabetes Mellitus Coronary Artery Disease Appetite Pedal Edema Anemia Class
48 70 1.005 4 0 normal abnormal present notpresent 117 56 3.8 111 2.5 11.2 32 6700 3.9 yes no no poor yes yes 1
53 90 1.02 2 0 abnormal abnormal present notpresent 70 107 7.2 114 3.7 9.5 29 12100 3.7 yes yes no poor no yes 1
63 70 1.01 3 0 abnormal abnormal present notpresent 380 60 2.7 131 4.2 10.8 32 4500 3.8 yes yes no poor yes no 1
\n", "

... (155 rows omitted)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ckd = Table.read_table('ckd.csv').relabeled('Blood Glucose Random', 'Glucose')\n", "ckd.show(3)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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kxNtPJsITAhowhfX48ePp1q0br776KqtWrcJiqRtL7ebmRkJCAk888QSJiYlN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\ns3n7YfYeSOP8OQemzP6Sd2YMxON/5Y0f+yytgs+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ckd.scatter('Hemoglobin', 'Glucose', c=ckd.column('Class'))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Wvffey7fffsvs2bOx2+2n7bfb7cyaNYvNmzdz3333tVmRon1V1Vh4dc5Cuuz8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\nbzSayC8sxc4BjEYjyCpycguRJAl3Dy3Xcsu7gYx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ckd.scatter('White Blood Cell Count', 'Glucose', c=ckd.column('Class'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decision boundary\n", "\n", "For each scatter plot above, how would you draw the boundary between regions recognized as class 0 and class 1?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Banknote authentication\n", "\n", "Predicting whether a banknote (e.g., a \\$20 bill) is counterfeit or legitimate. Researchers have put together a data set for us, based on photographs of many individual banknotes: some counterfeit, some legitimate. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
WaveletVar WaveletSkew WaveletCurt Entropy Class
3.6216 8.6661 -2.8073 -0.44699 0
4.5459 8.1674 -2.4586 -1.4621 0
3.866 -2.6383 1.9242 0.10645 0
3.4566 9.5228 -4.0112 -3.5944 0
0.32924 -4.4552 4.5718 -0.9888 0
4.3684 9.6718 -3.9606 -3.1625 0
3.5912 3.0129 0.72888 0.56421 0
2.0922 -6.81 8.4636 -0.60216 0
3.2032 5.7588 -0.75345 -0.61251 0
1.5356 9.1772 -2.2718 -0.73535 0
\n", "

... (1362 rows omitted)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "banknotes.scatter('WaveletVar', 'WaveletCurt', c=banknotes.column('Class'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose we used $k=11$. What parts of the plot would the classifier get right, and what parts would it make errors on? What would the decision boundary look like?" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rpAaH6Wnq5Ac/+so/dDz88Z7V/OmOHVSKKjWNDt//5tkIAV//7nK8wmgz1rZt\n9/PTK95Da9NrW6xIevVkKEjj5qgTjuC2BxZQ1b6FoqKzzYmgxGp4pFhPQ0BFTJvFNZd/6aBttHCY\n2rZW+jtMNLPMoB5mXjyIoggyuSKz7Cx6IUfIKSNGEvzXpy7jimv/h/q6GMeefiLZ7m0EUklSwqXi\nuSiuQyFfoBwLURsZHTmz7IQjeWLdc8xwcxh+g2TrVGYXhql4RQwlRFrxEawpEa8J8s1vr6Q0EqdM\nkp6eTl7YdIBAbBFFq4Dt1JMvxajWNxB0ACEAD821sYplAIZTWdKZAs2NNTz+6LM8ctfDsOcAuiLo\nNVVOL/RjCo1Wt8yw6qc3vJ+6eJD//b/LWbd+K7/85o9ZUujFQqEz1IwRqqPgwbHpjYg85MQgq4IO\nmUorGFlwFfAUvKr9+EUc158gpDSRsjqhEAa1iGkKMgWH+voQL2zq4e3vvpZcIY+qOfgDBtUxlYDX\nStCns3fvLsx8LZFgCM+tQlTg8VXb8fl1qkKBl4yqeiW5Qok7796OatUR1KGUdLn2xseZMb0OOxdD\nUwWmXSY9YPO7O1Zx2X+c+0YeitJfkX0KE8BEbNN8NTXX1cUITJlGnxEhOnce53/9P/nA5y/iPRdd\nwLHnnU0+neXp2+7k6RWrCMTjtLQ0MGPeLFZs6UL3+Ug3TePIj3+YAxkTfyHNQMHCHR7C55pEPIuE\nXkVLqo9uPcLSow6jtrGO5U88T2S4F0MVPBNoI6o40NhC8KTTOOqYhdTW1tLcXE+huo4/PLaBjkyZ\nxpYmcrUNTKsLMmz4MBcvQQ/VcOdduxgcymKLEmZRwy5WUUwHyBRttEiAcDSK8GWwPRefKFFnZdE1\n6ArXc8THPsyurhF++JMnefCBvdz629/jrnmU7bu6WDrSQayQYr8SxHNdRhQfmmsxrIUImUlO9Sfp\n2rgZfdI0ahNd6LV1lF2NyeUsyUKS+nw3DeUMtufH8CCt+hnR/eAYIDwIZAiGQPe7NMbrSJX6sDO1\nqG4Nnq2DkUMIHSU0jN+rJzlUJl9wMU0HrxQl0S9QhY+Wxjg9+01Kzgh+NTo6IMDI0d7Vy6onB3lg\nxTYqToHF8/+y7vMrHRfpTJ7ly/egeKMz3QohCEUtZs9sYMMLSYqVAjs6OxgcLNJ1YBjNsFmyaOob\ne9C+gon4/ns95JmCNK6OPuYwjj7msJf8/tHldxFZ8yhtLx6hj1z3a2bO+T6x6iou+99vMJBIEQ75\n+ePNd2KPhqOwAAAgAElEQVTt3cPaRIKB2jY66+cxI7mXXlWnylAIeRb5bI5fXn0zpeFhpp96Mjtr\nGygMDLCgpZ7JxxzNO844gSltDXR0dIw9/77tuzkrWsEX8wEjbDFqOepr/805DbX8f798nK6dPgxX\nRZSClI29KPZkPNdBKDqKGSOdHKES6cPw6onXzSHp+HgyFKDBztJUF6Nrxx42dPehmg34FJd8Tz8b\nSoMcXujGFQoVFAKuhYegxcyyx19HlxHlArebSHAWca/AhtWrqcTqOMYexozG2bxlGMOxAZ1qp4yt\nGJS9EJ7hx+9XcQnhKBmwI7g5HwUtiV8foSoCTlbDtmxw/OBqOIE+TMtPV183TqEa1/PjBrO4qg2e\nQrk82mTV1Bhh72APjmMh9CKoRQxrLj5RAybce+8ezjh1EXW1L+1M/2t1tVGaJqn077XQFJ2KkyVf\nLnPPfdvoHu4mmcpQyutgRhgetLj6upWcf87RRP5qyLL0xpChIL3lrH5uIw/dfDuLB3aQClcxeWob\nkfQgg4kU1ZEQmqbS2hRn7fptdNxyE1PTPQyIIOpAB12t8xkUNssKPYS8Mrsi09EP9HPkSDvuUIL+\nZJpCyzxOu+AcLvz4ew8a7vrXKpkMvr9aTSZSzlFXU83klnpyOQtFBGhrqSWbLzOUF3hqDsULoSqC\nsltEcaIU8wV0Pcj0lmkMDuVZllrLsjnN+A2D3k3PkXIOozoUZ+TAUzRm2gnZefb46lhc7AOg1ikR\nd4ogBG1WhoReRcV2cF8cmWTgcdSF5/HIbQ+yc89ePKeaSeVhDujVrA010WAV2K8FSahhPvj+xTz6\n5HaGukJoajVmWSAqbQQaymiahhevMNynjZ5JaCZR5mCxF69Ug+so4BvGsxVyogfdp5PNe1RMk5Zp\nLh/6xNt5aMV2qsJVlMo+jMpfrnUwSyobt3bS05dhcluctoaXnz1WURSu+Pb7uO6mlaTTFQyfj03r\nwRARZjbWMNi/Ht0LYOtFirkQxaLN//zsLn70rQvfqMNOepEMBektJZXO8fgvb6KVItg2WipBv08n\nO3vpQQvepzN5bvzJr4j0d7NCjzGjPEKN59A/1MP8972Hp1c8gWvZTJ4zm2g6gVUsUu7vpxmHkZE+\nig/fx6rpk2lsa6HrQIKF8/7SoZ0cyWCHq9lf9pjsF9iuy/MlnfyPrkb1+dGVOKbtw9B8zJ/dxLI6\njdraAMvv38vwcAXVNVCEhUuAYsEhNbIXtW8NemqAF9Ym6fHHMHQVt8YgUbRZNrIFBZuIncXxYE2o\nlZhVRBWCkGOh4FFQDCpC0OEFye/cw5aBFnbXh0jceh8795cxRZQjytuJVLI0mjm2BhooekEMz2SK\n1cEjfzSpn3w0g+4gllvBcQyEgKFknmmtk5h1bInn142gKhpOqQHLsjE0g6KShHAOik1g2JCZiq1X\n8McKpN1d3Hz5p5nSVs8lHxu9EvruB9fx21t2oxPB9VxcI8W1v3wBxYrh0MOchS4//PbLT79dFQrw\nX587i1yhxA9+djeVgsZAOomiCPxaNVmnH3KTEJ6Cgp/1a0YYSKRe1Yy40qsnQ0F6S+kbGiGSHmJu\nnZ+nrWk4+TxZXzOfv+Sig6ZQ+MONf+SIci+3+JtZmu9mipmmLDRmJzt55oGVvLvZx+SAjlvs4vb9\nJVr8RQzPxhMCV9VpEBXuuONxepINOBUfvvDznP/eqQxnPX52zdPkUzqV4nTmRy1cTeOoSidtIwUA\nHK2G6mVx+vtT7N7bzVS3AZ/u46c/PpNLvnwbTsFAV3zYnoPlVFAT2/GbGbr1MA4CUSnTmk8zxcnx\neKRIbcgh3BBnqN+mLpsFE4qKzn4jRo1dwvNU2v0xQthofh87rSA9JZ2l7evw7TE5zBdjg6cTssuU\nFQ1LKPhdj5waYHG5G4EgaWboqI5R1xgnOWCjqDqKP4OPGobS/dzw5Y/z1e/ezp6dBTJWP3ZFxy2b\noJpgh8A/MtZJjauj2zWkhhNMaas/6P93zplH4Dgu6184QCCo0T8QJd1bCwpo6Gzc0Ml3fnQHxYLD\n7Fl1fPwDJ6Gqf5lyZMPWTi763M0kEhUKBZOgOwm/LwD+IsEwWGUFISAc0fEbQQqFMtS9OcfmvwoZ\nCtJbSktDLZlYI5OK/ZzSEqbfrKJyyruYNn3SQY+z8nma/CrVPhUl52EKFcNzCDsmNUP72WxW402q\nZahoEwgG2BVrwEsWqPhCLG2K0E2QfX0uIb0GDMAMsfyR3YRCfVi5CIXuRwjke9k04OOEM46jrbBv\n7LnrCsMsOGUudyzfTkNgPsVhj/te2M699+xFdcOUxDB4HobuZ/o8k3J/joXlPmqtAjlUikLDVDWq\nM0lCdpjnhcuixDABq8L2QCNNZpYZ5RRlEWBV5HACosRxme00eSV26rUUhE7ULmDZJrpTpOxYNCtB\n0qqPuJnHVDVyio+QWyHo2qQ0PwF0qkpDRGecgK2uAauM7Qg0JU9La5jrb3kaw5yKz9iNVmnGqbhg\nm+BPQbERPA2CfaAV8NBxPYdcIcdV1z/IOe9cNhYOQgjOO+tozjvraAC+9PXbSL/4unmex76eQYJr\nWzF0Px07BzHNx7jkE6eP3X/+J/6P4f21eF4AsCmFugiH66mKGITjIfYU+9C8OM3NcVqneLQ1y6Gp\nb7R//CoTSfonqI6GOfNzn2J701ye9TWxPgs88QDXfvEbPP3kurHHTT98IX2eQVtIZyBYQ1HoIATb\nAw20eCUyuQL72rto7N5FJNnDrLedgrnsBAqBME9kNUJnvJtQpOGg53YdsC2Pka5HOb73SU5J7+CM\noQ1sfvQJDph/eaukQjVMmtzC0GAZVVHpTuynkq4hldDRK20EaCbg1znyuCDHzAygjySoqhRIo2Ej\nMFyHEeEHz6XaKZN1VfZ4QTYbcWaWhkiqISqKTkr3I+ons7DcS8g1aRdVHFDCIODwQi9xO89uo4aA\nXSav6Kzxt/J01STWh1rpCLTS5Y/Sa0RwfGF8PpWy4kMNpjnz7QuIRatxbYVSwSMxnGL//gyaooOn\n4rkCxdNAK0E5NjrRHi5UohDuQYQSlNVuNBHg2ccqXPqte+ns6n/Z/+e/vWshtprEcW0GU71YZZVi\n0QbAUILs3JUYe+x9jzzP8IDAM/1gBcDx4XmCqa2t9PZn2bJGUCx6ZJw9dA5tZOH8xte85rX098kh\nqRPARBwS94/WnMkVcFE49ay3s33Ddo6t9BHToN4usLajnxPf/XaEEMyYNYVBX5SUI0ik8vTZCnv9\ntTTqHrVmnv1KiBmFIYqqzpwpTTy+pYszjDRzQgpzgh69BIhPbaXnQAlV0bHIMGeuSm5gH9ldG5lX\nHv2wMnRBxR/CWno8GaHTrUdp15pZtaafHR37Cek1jORGMPMBTKuCz/CjCJg+rZZQlYP+7EPU2NCP\nQquZxu+57PPV0G1Uk9aCRM08aS1A3C5iI3BRQChUVB+a6mcoHGVKqosevRrwqHMLuGJ0VFXAdUBA\np1FDWdGJuCUQAl14GLrHNK9ARtXJxWrJ1NWTiEymP5GnpzdHV08flbwfzzFQdZdUMUHEH8f1LIbT\nOWwbPFEZbT5ydVCsF38cIjUulmVh2TZDmT58Sg33rVzN5q29mHaZ2TOax/6fUyfVs3BhnM3tW0kM\n58lmbFJJFQ+bqrCPeJPD6acsBODeB19g1XP7wYzAn6fzDiTxPJdUwsCr+EfvU2wqpsWa9V3s7tjP\nssOnUhUOvAFH7cubiO+/10OGwgQwEQ/Kf6Tm9eu2cOv3r+TAfffw1JPrSacyBBO9lMoV/H4fe7MW\nGzfv4oaf38Izdy4nlxzmzA+dy8e/cjF7sjaJ/kE80ySlBQmHg8xViqiKQrSxgY6REsHBbnL9/aST\nKfpdne9e+RXw5QhVl1m2NMbGu+9mRq6H3lyJ1uIQfr+GP+BjX6ieT377S/R7Me5+Lknfvhr8Wg1+\nEaM3u4PamgC5UhZdBMFTEYFhylaBxNAArcN7iAuVvcJPQTXoCdQypaEau1wi52mkFT+Lyv1MMjM0\n2AUSaojt/jqmWTnido4dBCm5KrV2hgXlQUKuxRQzTaevhjqnQEXRqLOLOEJBxWNJsY9eX5ST0nsI\n2CYzrBxZB7JugCxzySZqyWddylYJpdyEzy8olIpUsgEGUv0MZLuwnBweLhg5wAPlxZ9ggsWz5pHK\nZbHyUZxSFcVKiYHhAUSpAawqtmzrxSJDxbSIRcPoukZdbZS77t2C323F9UxKdoZCOc/0OSqXffFM\noi9eNGjZFnfeuR1Xy4FahuAI4YjC4oVN7NtTASc4Gky4YFZBqY6BRIotO/dy2slz8ftfOqngG2Ei\nvv9eD9mnIL1lPPKbP7Gw0AcaWKkurt9bpirXQ7VncsAX4UBsEnrmORb0tGM5LuquINev38Apn/93\n9MwIrbpDBzrTnBTCgk4RosEusilRZNDW8RIDCM9DVVX6BocxLYcPvud4yhWTfz/vEmZ0rEdRVerD\nzTwZn0O9sHDDUZqPO5EvfONPDHaFKFg2AVdhV/sAC+e2sKB1Kr+6+kKefG4Hv/vjGp5b306haFJK\nVREI+9gg4izLHyAUrGGSnScUb6ChNszacjW2WUY30xiuS0ILEnItIm6ZZcUeevUqHFVjce4Au41m\nAq6N4TkIz6OkjDaZJLUgw1qYRcU+tgQbiVlFwtgonocAquwSimoQtsoEShn6RReKWITi/Hlsv0fZ\nS41OIWGU8MwIjlKGSg2K5uI6DqLUgqcUEZqLIeIU8i5mBTxPx1HyYAbwnBhDlRLFQj/lSpHVG7YR\n8ddz+BFhrv3ph8fWwwCoCdfRFG9BjQxx/VUfwfdXzT+nHLeAZcdE2LA+g+e6+ANhPvqBBQSCKo+v\nGAArBMICvQCFZlzNIzMi2LE1x+oX9nDmqUvexKP10CX7FKS3BM/zEJXS2O3EYJIZbp7KpBl01k1j\nnxFlegCKZRO/a+EWC/gySdqS+7n7p9cSePIBZvXs4NR0OwlHpzk3hO3Bw8EpiFAItZBjs1HHLl+c\njb56IlhkcqOjiZ54bA2zEh3EPJMYFovzPcysj/KeH32f79x2PT2ZOCODKp4ZwrZscsUygwM5nnh2\nN8+t306hVObkY+fR3BJmUt0Ugs50KqbNcJ+PfcVTeMRYxh4jwubaKQw48OCgixAGJ3llGu0yplDR\nPZcq1ySlh4l4FoqmcKQ5QL2VpdrJsstfT04x0PDo1avo1qM8729B8RyerprGguIQKAr7fDWEceg3\nIrhCwRaCfl+MgLDwBYN4WAjVJlSloAUq6LpA97kYmg/HdcAJgGLhitKLbfog3BCe5adiVtib2EbF\nzOFo/eDooJXByICjUyiYlMsuwgnjFKNsXmtx4++fAuDUU6ZjiTSu6+BpBc46cwGmZZNK5w5a9/nB\n2y7lh98/nY9+ZAE/+N5pXP618zni8On4gi5U74FQP7gaBBIIoSC0MrmMy/bd3W/uAXsIk2cK0luC\nEILIzFnk13UTViHjCPRwkCPq/ICfA8kse1EJ+g2GXI2oY6H4Agz7o9Q7Rax8Dr/jEBQuYWye8rUg\nPMGi2gDzogb7FYdpZor6oI6iKjwbmEH9i4vsWKZJc2Oc/vQwYatE2TLZZYdp3ZuloSlLZlhF1cDD\nJaDUkVF6wAeablAZqefEsy4n6AtxoAMsC1wthWv6EHYQhB/bi7OssIN3HDOVjA2ZnhJOwQYhmGQE\n6cVhSAvRKEzqKKM7oKsqGWEwYlQRxyJS8rg3Op+IU8IWo9/lpptpTMXgyEqStGbQFWgkJSocHVNZ\nl29gs6sRtQpMCbrkZy9kcmwGwUQBV1RoijdRGOohXXLJl+IM92vYdhFLy452LLsqFOOIqj5UN4It\nMoCDm69HqCZeqQYUF6wohPrw9CFAIPQKBlNxKJErDfKnu3OUSib19VX4q0qkywkuuegM+vqzXHTJ\nrbiOoLlN5fP/fjrTJzWiKAqf+OCpAIyksnzl27cxOFhEC+WwEk24lh+UCigWTnAXQgtQHQ9hVcbn\nuD0UyVCQ3jI+/cWP84ffVHOgr5/YiXFKGzZg57pxPRievYQZs2aSeX4t60sKqjqAp+mEfEGEolIy\nAkScMqYlSAg/DeUMVU6FfQdspoQaifp9DNhxhqNRPN3HkjPehqapPL9+K1ueWcvOpMvS6mrKTjVP\nlOL44qdz2+1buP7Xq6iUQdM9NH8e1/ShOA4hrRGfqCaXr9DfX8Jv1VHKOeAaoKkQ6MerxFA0j7Be\nJmJZGIqgzoAj6nXuGDQopmz6FA07ECbvqyal2BiRAPsqDtOrDIp9MLOUYSd+0obGKYU+8sJPQbGY\nbo4gEJgI1oXaMPUgpyoFGifX0N44ix9+9TPs3NNPvlhkyYLJzJ87lYDfh+d5rF+/lSev/gWzfClK\nOjxZb7DB5yN/IAX58OgoI/8wwp9Hd+vw+T0KtoVr+0C18NQKQmgIxUbXwSFAY7OOXQySqvShOIK8\nM4RXiRHTW3ng7gRldjK7dQEBK8xNv1+NlQ8RUGvp6BjghbVF1qy9ibefOp3vXXbe2FKpV1z1AAd2\n+VGUEJPqZrJnJIuOwLYNvEoYFAvP1qk4eaZNkUNT3yiHVCjccMMNXHPNNQwODjJnzhyuuOIKjjnm\nmPEuS3qVDEPnI588f+z2wNCZPHzPo6iayhfe8w5i1VVk8+fT3TPA1Z/5KrP6diCyw2ypn4U4+0M8\nu+pZ0iMZjGKWyWYKBYgUyqzdZ3DYtHo2lOqZP6ON0JSpXPyFj3GgZ4BHf34tC81hptSrPDIQo1uL\nYRtN9OzbRj7lxyk1oOketuLiq05y6mnNrF9nYqWieB7YroWmCEzTQ3gGHt7oxHOajRIcQVPiVAIa\nSkMTAxUPXUC6pokffv8/+OGXvsfC3q0olRLTNBOlcRL+Zcfy/tNPYPVdy9mn+MgWixzh5FmV9DDU\nMOWyTtgZvaCtoij4hEte83Gqlmba1Baqo0FEOUF1NMx5Zx3Niqc38dNr7sMtFXnvBady/tknsn7l\nKmbb6bFZW4t7tlPjVmNqPga86TgK+JQW8GdRA4OAi5eoAcs3OjdSYAD0IuFgiGnTY6hVFscdOQPD\np9DdG+OFTQcwe2DG1AaikRB9AxkcdfTsRgiFxICJX6kib+bIZVw0EcIxbXZsdLh/xQuc+87RRZWG\nkxUUZbT/o7aqDj0wgGZFsU0HfBmww3hegOHUXu64awf7e0b4r8++Wy4F+jodMqFw11138bWvfY0r\nr7ySo48+ml/96le8733vY+3atbS0tIx3ef+yHn7wKbY/+QyeonLye9/FsiMWvuptG+tr+NjF7z/o\nd5FwkK3Pb+PtcQWlZh6u66ENZ3j2+Y0c0xhgRalCfW6AWqeCAMr/P3vnHSBJVe7tp2JX5+6Znpxn\nZzYndhd2WSSz5Ix6EVSiWcScvus1XBWv6DWAggpyAUWRLOKShWVhd9mcw8xOTj3TOXfF74/GvSAg\ni+BVYZ//eqbq1DlVp85b55z3/b2CyPOKj3PefxmXn3I0Ho92IPXljs27qc5OEUUgIINWLnBYZgyn\ntAtVqGarsQjHFrEsh4DbTVVYYP7sDs46ZRHf+M7D6AUFzRUn6A8zoY/jlJsQkJD8MQQniBa0qa0y\naGlrIVU02duzlbwtkOuqoX1PH0fVu1GyXrR0Eawsu7J56nu30fLhi+mfMxshHmU8LbHT14bc7CK/\nYy1+o8CYFMDvlHBjY7rceDwaA8Uioi6wwHEoaj6y2Rxf+eq1jDz9LJYFPsXN73ZuRsYBWcZ2HKIl\nm5UDaRpyUxzmJCiYFo+qMnFzHrZjoIgSgunF7VawXR6KjoEtlHHKYaSqAQ5bOpuFc/184kPnUx0O\nHHhGhmFyxVW3Uk6GGBqNkUhlwZUl/4JcuCTbjCeGKCT82JYGWhq/O8DYWJYHVm7kpGPn4fe6CYUV\nYqMlVEXF4/JS1+IQHRuoxFGYYSTHhyMX8Wo+xHIta57OsHLmZk4/6dCG8xvhLeOSetVVV7FixQo+\n//nPU11dzYoVK/j1r39NsVjk2GOP/UdX7w3xr+gSl0gk6O0dYevPbqQzNUJ1aoK1G3bSsewIAi+S\nq/hbGBoeJ7lxA15FZKhviMGRKN58ikAuSaOZY7vlpc1II2EzqgRwv+M4vJLAutvvYPUfnyRuOMya\n08269dtZ/eDjOJPjPJ928GdiTKvxkc0VCeQKTLgl8uVmwEFw5ait9TB/foRiyeTIpe184VMnsm3n\nKNEBN6YuY7tHcHkNZFFD0grM71xAQ1UryZEBlmU20xFy442Po8XGmBocZmwqTcQqIpcKOILAlLea\nQMiP09rJUzfcTG54GDOTQTPKnHnZu9iaMekbj5IQVCZlL+Oyl52uGo42o1QVkhRLZZ4hQlpycd8v\nf0fdrg3U5JN0GBmGZDfdlsnGqQwf+twV3LpyHVO799IRH8CLSY8aolFSmJJsppwwiqeIrBXQ7AY6\nWutIZFIYRQXNpaL68szsbuYznzieK997/IEMaX9GkkTa28Lc/9gqRscT+IIWiiwylUyg+nLYDkR8\nTWTKU2TNMdyaytiIQc6YwiNGWLtlB3Nm1vPQo9vY2dPHRHwCXyRHta8GsVxP0UxhOiUUrYzkyTK9\ntQuP5kNAJlCts3RR1xvqX3/Jv+L790Z4S8wUDMNgy5YtXHXVVS/5+wknnMC6dev+QbU6xLb122iz\n8y8sU0BTPsbO7XtpbnxjYjUrTn4HP3h+CyPP/olMrkyvr4HTrDEKGZuioCCLKtsCzUiOQylSz9GL\nZ1O1eiV+CdBh391303fEQvqfXcMiP5TiBs25KYZKAtpoAVESK/7wjgzeCRypjOyDRDHNd/57GFlQ\naG1s4N4HN6DorSycq6EbJplcE7UdaaZ31bFtrY3b5QNAtMsotkNqKobXMSk5IrJgMaF5GZYEzFiW\nIdmPZglINe3IPQOEx/vwFNLIlsFY0s+99zyC1d+H6TgsLo1hAVnRhYyNYeSRXBrTu9vY3RdlXu/z\nFMUgg0hIig9HEHFsCwsbv89Fa3M9oqLSoKcpCyJho0idVqAkK7jCAc5eVk11OMD27VG8djOyLBEO\nxykYEwSCARpqGqjx17N1xzAnH7fgFZ/RYfM6OPLwTqpUCVEQcRyHVDFKW5dOerQFQRBY0BVmW99G\nEsk0liChGBqxdBylv4ErPvlzJsYsVMlNTXWAbDZJxNVGZ5tGZ1sd+XKWuo40k2MiHuoBsKU0Rx4+\n/w31rUO8RYxCPB7Hsixqa18qzlVTU8PTTz/9D6rVIRpam5hyZKqEivZ+QvGypKXxNc56bRRF5uov\nf4xrfxzCWPkgDZkso1EBsVRGpojP5yPpDrLw+KM5++Lz2LZ2U8UgvECwnGVsZAKpXKK5pZ5yfYSR\n53vpU6rxFKdIyAppTwC/lKEoRLDFELIrRmI4gl0KYAo2fXqMRt2NW87RVOvFLUkoisjJx7XyrnOW\ncdXgHSTGLCzHwlUbJCu04undQbZQZqdWzdxkCo+vhi3B48mGIyxK7KDdTOON9dO3T8ZdLuLXC4gC\ntOopBnp6EPUShxXGaDNSOAhMyR4mZS+yJOI1izyxb5zafAbTNEi5XRydHUDCBhweC85AidTwyY9d\nzPDYFIm+AeaLJiVNIlWUmCpZjIZnMV6uJ7amRGeHmzmz6tm+fYjePZMUSyUEtUR3y0LGE2PEMzHm\n67P+6nOKRLzssnOIklrxLgvJNNV7iA/rJLMJJpMJorEkdrEK0fKgCzKD0UHGYhOUiyCUI8ieLLmk\njDdSJFBdQlU0AGRJ5pTjDqMmEuC+32/FduDUFfNZsmDaG+5fb3feEkbhb6Wnp+cfXYWD5s2qq+M4\nlHUDVZFfNZfAm0X3jCa2zFjEjh3b6RtP4HhlRr7zI+JFAzGTRq1v4COfvgSPR3td5abSeX76/Vvw\nDe9ncniMSdHHVrmRFjVBEJMj9CgWabJeN5EaH/66KvYVbJqcIo4Dfd56DtMESqEqpsZ7yCazFAyT\nWkdnVAnTbEzSrGcoOwV2azm2cxiG5cEsqkAZwZbR8yqWZeGti5FIiwgIBOuzLJ43g+j4KNVh2Lxh\nGMuSmDHHReep53LrT03MfBXVls6fJm3G0iWCVWlaizGqRJVsTqelkGBvKk4uWEe1nsUGRr011Msm\nQ6aCy7EwERFx0GyTtOImpqsUTId82cINBIwiNXIOQxDJiSqq4NBJHmVGB7t27OLX37gWEpM8ZQZp\nL8ZIobFdboB8DtmZJO7UEvHLbEommUiNkIl7kc1aBMng2R2rUY0mIuEAz/xpkl9U/4Hjls94xed0\n4lFt7Nz9NOMjJqJsccYJ0zh6aRebdzzA/u1lyjkNu9wASg7bckCbgmwQwQnhWBaOFsfMRSj58ngd\nmDZLZ/f2IQrlApF6i9aG6VSHXVx15REHrvn3eqf/lcaK7u7uN3T+W8IoVFdXI0kSk5OTL/n71NTU\ny2YPL+aN3rz/K3p6et6UuqYyeW749vUI4yPobh9nXHkxi5fMfRNq+HJ6enqYMWMGF1yscP2nNrMg\n3kc5oxEdlhD1ErMVHWs//CBb4KbfXXfADfG1mIyl+MEXrmXa1tVM6Q5FvBxeHGaduwG3WcaRJHYL\nfposk+pwmO7ubrq7u/m9x0fv2vXYssz7LjqfOXO6mDd3Nnfccjf7ntnE7qntzM+kGFUV2spZtrur\nEYFWM8qUa5CcOhtLMrFMEcGWcaQcroDCXbd8iafX7MY0bU46dh5r1u/jhltX8dyqBJ1N3bg1F2bJ\nYDwtE+4+nqjQh2/0KboKUWbnhhnR08RFF4IsI8s2bo+HnC6yz9NGn0+gySPRVRck3DUbpeww+GgU\nrWiC47DLXUuLUyQpe9itRDiyMExM0tjiqScheYiYBaosA7cqIFVFqLHKDD35DLWlNDHLJG9aPO1u\noaWUpNOYZFFhHAuZR/1TZApnYdo6U5MGdjFI2bEqnlVmBJffRakkIDth9g8W+cAlr943r/+vLsqG\niXLPuJAAACAASURBVNuloigyPT09LD98FnaqxO6eCcrlApiuihqrVEIhiE9zk8vp2I4LSQLNI3DC\nMTP5+AdO5Evf+i3Z/S6cfITrfr6Rb331nJfJd7/ZvFnv378KbwmjoCgKCxcu5KmnnuKcc8458Pc/\n/elPnHvuuf/Amv1z8auf3k7X/o2oogClSR76+W3Mm/+tv6vS5Mo77mN6rA9N0HH0MtGSi3orT1IN\nEHAMYvv28T+3PcAl7zsbRXnt7vjAb37PnFgvpqMjlvMoThFLVDiiMMYmdz0nZ3uwEHky1M0Xlh52\n4Lyzz1sB5614SVmaS+XyD1/EBRefw/tOuhy1mEQVHYYVN367TIeeoSDIuMw+tkU66S+VEZwykiRS\nGwkS1AJ85dv3oioqJxw7nS3bB7jhxk3kc5BLKezJR5k3uwlZVkhniqQHnsc/vo+spVPjCNTbWaJ6\nig5BZKu3lsVhF3/Ieugfn+To3DCOnmO3GKA87wg+/NkPYJgWn3t2Nb1OZTmuyi6xWwrTZBc4VkhQ\nlmXm6AlGBTeq7bDG30GTVUCWJI6pDzCgaEjpKeJjUZbacYr5NKNygJ1aLSdl+8hKLjTLYHGhl/tG\nN1Ayw5VMbJTAcQGVvZZCoYzf7WNsIskS9ZUH5FgizVeveYD4lIHHJ/Dpj5/E3JkV+XOfz8X+oX4S\nyTxYLpDLgAmSTtivkc3mcBwZW9DxV6dYvKSJ5cs6+PSX7mPH9hKiHsQuF9GUGm7+1TP855cu+Jv6\n5iFembeMzMXHPvYx7rjjDm677Tb27dvHF77wBaLRKJdeeuk/umr/NOipZMUgvIAnnyabL/6VM94E\nTBOXW8N0wBZAxGFK9mI4sNdQWJjsp3TXbfzwm9djWdZrFmcZBjXVYfKyhgTIWKQEBXCoM3OkFQ+m\nrLDYmOK+n9xCdDLxmmWuWb8Pu3kuz3urKCgyq/2dSLZAWvSQlfy4bAePUKY2EqS7s4ljFx/JjNYZ\n9PXHGdzjZmivxi9+sZVf3fUsqlOFXwvh8ufQdcjmiphSHCfez7nKCPNLoyzODzMiu1AEC020CIkl\npp21grNu+DGTwWl0xwdwdBOXy89c28AXCtDcWIMkiWSRWFiOojoWuiNSa+QRAiFkQ2evHOJpVzOT\nso+UFuREdBRBBJePqZpWzrn8PUQ91VSX0tiWhSlIVNslVCyMF5YSBdHBEGRs049YbIRSBLQ4KEnQ\nYuBKY4klSnYcNTzFRy4//hXv6Xd//DCTg36cYoTcZBXfv/6xA3IWe/dNIbnzoOQqMwQlD44CjkjK\nGEBSDNRQnOpaOO6Een75k8tYu24YQQ8h2DKiIJNIlLBtG8t0XvH6h/jbeUvMFADOO+88kskk3//+\n94lGo8yaNYu77rqL5ubmf3TV/mkIt7eT7d2CXwLbcShW1xMKvDH30Ndi9tHL2NO3m8zEFIV8gX53\nNXlEApbO4tIYwfpamgMuBrevp6d/jJldLX+1vOPOPJG7N2+ic6bFju02e2wfbaZDrxLAb2YJ22Vk\nWcZwu2kvxljzzHrOveCUVy1vKp7mpls2MTwmkzRPYW/RwJKybNMEFuZiCA7EvArti+o5dU4X1/98\nFfsHx0AsUqW1HxB0U5wwU/E+sIIoksrMjun0R/cy47AA/3b+cp6/514aqnxI01uJ9w/gKZvsc9Xg\nVmTyVQ10qxbxZIm+/lQl+tksUyiDx6/i81We0eRkgpligef8HTTnYwStEjm7zIDjsE6oQbINNNui\nq5xALKfIumuo1Xxw1tl87qtX4PO6CdVUcd1le2me6MVwiZi2Q8Qps8rXwWwjzpSjsMbTjabrFKUS\nOBqOLuN4h6BYA5luBE+McFOSO276LPW1Va94XzNpHVGo7BUJgkAhC6WyDkAyaTCzZTb5/GaS4z4c\nOQGOCsUa9JKDHM5y2IzZ+LQgqpDG73XjAJriwRPQKSYNBMAQE6w4Ydnr7JGHeC3eMkYB4PLLL+fy\nyy//R1fjn5aLL38nt1kWE/v3I/j8XP6R970kFeKbzVQ8xVBPP7vEEKlwG+0NcMpEPyVbZLM7Qq0l\n4PJ5eD3xpzOnt3Ph177IrTfewf5yiOhwinHboQqblK5R5xRxB/wkq5twplLc/dBW+iYtPnbFCv74\nwBPseWoVDgJzTzqOs89bwXg0QSEjUSxYSKhgi7hkiT5XFxnJj4qNXd1KaVOBJ57eTD6vIJRqcUSd\neDmJZVlIkoRhlTj6yG7298UZHcgjaxYfvHwZH7+iYpB2rW2isH8LtbXVqC6N1cMlmkIeaj0Sc4Iy\no4rKw4/vIuBpZqOriyVWP7Jlsd3dzEfffToAgaCPYEMDvn0DeGydAiIbPI3UGTk0LEJmgWGlmozg\npk4wKAhlwgsO44OfuhCft5JvYN7MDi699hvc/K0fYfbsJuPI1Ig69f4AmaXnsOXpjSxLjCKbg+zW\nWhnxLMWSyuRKKpIQRvGIuDw1zJ+lMTaRJODzUFMdBKCsGyRSWapCfpqafEwO6yiSiu3YVEekA0GD\n1dUuRpPQWBshk4philkoByquy3KBQtFgz+BeIv56ZkZkHMfhjFPmcOPARjqbOtlhbMbtFTnnvFM4\n/qj/3RPLF0oIgvCyuIlDvD7eUkbhEH8dVVW48mPv/T+5Vr5Q5jc/uJY5Uz0smphiT65A2FuNZup4\nJJHGKj+9cgvtJYOEAcb8I+juODh3VVmR8Y73825/ngfMOA2ZCSStiqKs8mxVF/ODKnKpzLPqHCK5\nblY9luXZJ/+d0OA2vBJM94us37sLbzjIooWzCFQZOIMWtmMhiCaiKCKpXoqcgBqCVGmEcsGhXLah\n0IjgjaPo9ZhSnHhxEK/by3hyGGFVGx4fXHnlQo5Y1H1gsAR43wcv5KZCkdzQIEKrj5NPbsBYuwq/\nXmB3sIXOWXP54+/Wk8gUMJV38FxwBoJQorOtlWKp8oXd3dFE+JQzGOj7FSmXhCmKnJzuwRYELEFk\nu7uekiDR56phSJFIB+q4+JxzKZbKFRXaF+JFjjxqEQ8vP5qd/YNM0xM4ihvJ56G9qxFjw2psSyJs\nyiy1Rgh2tHLlp97P7XdsITVRMeDFssHa9XvYtzeFLRZZvrSD01fM5867t5BLifhCNh//0DE4znZG\nRjMEAjKf/8S5B65/9YdP4nvXrcQV9DGS3EMqJr2gGVWCfDNgEzcnSCeHyRka1/z4AXAEZHeRbT27\naAzMpCrk57e/3UVnWx3HHjmb7/3kD6x/PoogCBy5vIGrP3jaIbmLv5FDRuFtjK4bSJL4d5kt9PaN\nUDfWg+wSCIT8NEejDJeraFE1opKXOWEXmXATe8JtzFowgw996D0HXY+9u/fTUEggKyK+oIdgqsBm\ny0/RsekqJtml1zCkzqSluhtREClmBmkbeIpFxCmUyqyVa1gg5bntmuto/OHXWbaskfWbeymQR/a4\nCdRYeLwqZtpG8+sUJhSccghHyIMWw3Eq6++SpPCja8/hZ7c+jdZ3GJIpoafgd/du5fSTFr+kzm7N\nxVVf/PBL71H/KUxNxkk+3889d40h5JrJpPYiMIlbiFAdUZHEKR6+71Fuj04RKOfoHZ7C7xjookzE\nzOMIAl7bQMKmvZyk7BLZL9WRIIRjh7jr3gT3PPAITR0WXs2H7YAj6Kx9cgdNpsSoGGGmT8DvEhi7\n7y4OS/SiSwrj9e0c1+Sl44gFnHPqEQyNJHji0SiC5WZ733YcxyKVjEKxhvR4kief/D2dDV343AFK\nCYebb3uOn/3gkpe013Ecbr9rLXv36jgOJPOTtNfOYFtiEFvUQfdVFFoFEcq1KK4CxaSPG295koBS\ni6jY6MkaRpIpxkYLOI7I5/7jLj73iRU8+3Qal1gJinzq8RiL5u/mmCNnv+T6pbLOr+9eTSKZ59QT\n5zNvVtvr6tNvF94yMhdvZd7sMHvLsrjxh//Dkzffzqo/PE7KhJmz/zZpgL6BMTZu2IEgyS9JpjI4\nNMrk5q2ERBtVUTBUN3uDrUSrW4iH6vC1ttGbt1muj6MN9fL4lv0sOXop6kF4IJmOw9ZVawg7Os+P\n5xgxJAqizHHZPiJGns5yklFJZVKvo6Y6hDm1g5n6ELKtIxQLCMCUJ8ycKjf7EgXW7zFoCMxElA0U\nt0lLq8bvf/1pekf62LlngnLOiyqreDUvJTuJIJcQtSynn97Bhy85hQdX7qCcc7+ofgXOPG0OivzX\n21IVDtDYEOGGXzyLaFShaS4i4Sry9gjtnV486jDLitvI7d2Fe/3TyGND+Pt3kjEdSqKE39Jx2SYB\np4yNQI8WoUHP0avWMa2Uw2dOknAcgv52nls3gJELYxZ8PLPqcaZPbaA7N4hh6fTbbnKSygkRmVzZ\nQCvlSZgQa53JhR+/jFDIzxGHTaOtQyNnRNm0aRS9rODkaxCsShpSVQzgSFnC/ioEQcCW8px/1mEv\nae+aDXv51e09uMU6SnmJrZsTJFI5BGwsihWxPUcFwa4kfFOL2JZMoWAilhtJxEsUjRzlgoQiaSiy\niKrZDI2PoZi1CIKIaVkMDCbYPbAHzSUzo6sRQRAwTYvPfvW3bHxWZ2JI5KnndtLRGaCp/pX3RF7M\n203m4pBR+Bfgze6Uv7/vMayV99JqZanTs+zb1UP9kiVUhQKvffKLePThZ3jyv3+EueYp1q9aRzlY\nTUdnZaPYsXUGdZnJwWHyps1Y+zyCboWl+gSdks5eU2OZGaVGFfFKAp5klBFPNTNnvXZEaqQ6xJSg\nsXJrP56+vYQcG2ydeiOLALiwGVO9xJR6AtUqjjOJWywxZkoM2C4SspealkYWVLmYCtSxd7hIYv9q\nclMDxPMqsZhDMhfn2q9dxKYd/YQ9tRWBOBUaWuGnPzyfL3/mNC698HhiiTR/fGIDIyMZvJofx7Gp\nabY457TFr9mOP3Pvg5tx9MpmsqrIzJzj5+afvI/oxmdYQJp98TxtxRjJdI5qxcEol4mYeUbUAONq\ngLjsYVwJ0qYnSSg+IlaGkiTRVUxTLifI+NrIxFS8XgG324U49BjH5AZwiw7VZoFeJcDMo5bSYWUI\nV4UxVI1osI4P/+A/6WyviEkKgkBLUwRRhAf+sAMj76kk4HEUJEnA7bXRvDZhXzWGpTN9tsYJR7/0\nS33V2j1s35ghFi/QPxgjk9YxyUKhCUG2EX0TSIKKI1gIrizoPgRPHNWKYBoCui7juCfAcbAsUIKT\nqIqKIJVRFRnJ8bBrzyiFcpoqTwM7d8aQtSKzZzTTNzTBb+/oQZP96GaZobEJntuwk4XzWqirCf3V\n5/N2MwqHlo/ehkSHx6iX7AO/q8pZRofGmdb++tRkNzz4MHOsDCgCVWaKtfc/xAknLQcqg8iHr76U\nvnNPJZcvsPL+x2ha9wgBd2WzsWlwB+N+PxG1shQjC2C84J3ySqx+ZgObnlyNLYgMxTIU9veS1C26\nVIV8tsSU5uPPLUqJKqbkYmZTnp/88HxW3u8j+ov1hMw0KUdnu6+dIyMqvaKf5vlz0P5wHR3RMWxL\nYo+aZXd5OQ8+tIdPfSjFJe9Zxk9uWEe7Gga5yBlnzeDkYysD/uDIJF/62gPkEmFSqQkMcSvHHz2L\nz3z04GNjRFHkhOM7eejB4UqaTDXHWacvwO91I0qV11N1qRSQwDGRZZkpWaGpnEZ0oNbMslerpVtP\n0OeKUK9nUbGpd3KMaEEazDhb8yNUCUM0j2fIjdrYGBSFF0IQBAmXInPO5f/GE9f9jEhylClXgHln\nnUPXK/SHpYu66Z7hY9dGFV2Ng26jeWUWL/cxf04zsViRxkY/H79yxcvOXba4ix9et4rEeIh8HpBK\nOBggGgiCQ31NNT7NRzQRxTRsTGccf0BBz6dIJ8Fx58CQQdIx1X7schu5YoCw2wvBBN6AgNMfoz3S\niM9d+cBZv3GId561DEkUSeZj7JrcTSqbQyy0UEj5+Ma3H+Or/2/FoaWkF3HIKLwNmb5gNrvXPEUT\nJRzH4flYmf5bf8uzD6zk7MsvZM6cg4zetMy/+G2/5KcgCDQ1VPPDb/yafU8/gzKxh0S4iobmBgIB\nLzt8Dcy0pxCAvVUdfOyUo1/xMhs37OD5n95Im5Xhvl1R7EyapUqeYdHLiG7TbqZYnEvxcGA6Xscg\npXg5IQCRkw+jo7We0tgoh81qRzcMWgSBXNph+IhTOHHFUfzsF7+nM5ch79hga0wrx+h1x4lNBLj8\nE/9DW3OEq69aSnQyy7T2WmbPaOHWO58mlS7QPxTDzERwKyIzOzopmgkuu/gdVIVf34zryveewLzZ\n+9jbO8GShcuYPb0y2zrirFPY+MtxZlXZ/MmYgRkyGDZKiJlxdFEiZJXwOyaN5QwuVaZDzyBbRXa6\na1iSHyWuaGRkN23jT7PATIBlE7QNVmv1jCpe5pRjjEteshbs7xtFmT2Px/8whphLItxxDzXNDZx9\n5nEk0zlUVcHvdaO5VO659Wou+djPGB0K4Q/CMe/o4EtXn3fAu+jVmNZeT0eni2I+RVksIOVFsKoQ\nPFMYusREIoqZLyMbDQiijuJP4XLCJKdksMtgBSuxEo4EhgdZ8dDREaI67KeQF/jYZ5aTTT+DpFcS\n7tiOjaZV9qnue2gjw4Ml0rEAyAqWUyCVlnCKTTz06NZDRuFFHDIKbwPuu+thdj/5NOAw47ijOf/d\np5OMJehZu56e/UO0epPMzQ3jZIe494cZ2n/0n3gPQo+oeclioo+OUicYRB2V1iOWvOyYB+55hJY9\nz1NXo7IuU0fz6ACJeIo91Z0cfvxChgWBbWs30a4o/OGuP/LeK979MsmLDavX02ZmWNmfophKozom\nK8VqjhCy7JeqKGgCmmMxo5Sgyi7RF/CjHHc8l374PQBI/gCW4xyIKQh1tvKRqy9BkkSmUhamraIK\nMjY2eUmjbCuIsoNi1JMc9fHbuzfx0++9H9O0+PRX7mB4nwtZUtg33kujfyYBfyURjO0IGMZfGMqD\nZOmi6SxdNP3Ab8uyiGZsol3L2TQ0SNW0BmbPacNHnh98/QaCRpmyJNCqp1EQyC06hid27qFGSSFa\nOmOKn1E1xIJynJiqEXFK5EWJgE+jxdTpV4Psc1UTskq0lOLc8u/XoAT8NKYnaC1MoY87/ObqL3Dz\ntdNYWu9B9HiZftqpvPPCMwgFfNx/26fJFUoosvSaxuDFzJ1Zj5lRKOQtdu2doGRPYTo6KDpmogUE\nB1OKI+gh3FYVpXIJtytItqRXPJQsDaQySGV8XpXqcGUfS5JsaiIhzjl7Ovffvw+9KBFptPjoFedT\nKJZZt3YCp+xGECwcXQUtTrFoEU8mcbvfuEjjW4lDRuEtzuYtexi6507mOAUAhu6dYENHK+e981TM\nc1dww7euo233WqDyZe9PRZmKpw/KKLzvinfxWEsDg3v76JjZxUkrlr/smFwqTbUEPlmkwy+zPt9A\n3hdiUUCBNU8x7KnmbCmGGIuTfKyX32kuLrrk/JeU4a8KsympIyVjTC/FiJh5bEFgTbCTFjNNUXYz\nJzeG4ths8DVy7Ec/xEeuvODAYHXxR97Ljd9M4pocoeT2c9JlF/HY09u443eb2bPfwPG00mGrmIrO\nPrkd05apr1Vxqz4EQSCdMnEch339o2zeGCeeyOM4AqpLYSzVi983F8MymDZTprvjzUnodO31D7Hq\niRR79iYpFGUaW9KMD6SZu0RkSGqm3ZqisZyhT2lkUA3zrRMW07NzHbKRQjAKrHc3ITgOlmORFDRG\nRB9hq4gtCAxpIVpS4+iiTEs5hc/WmV2e4hGri6Z8FI9VJuBYFHNRogM69rjJnEVz6L3vXgaPPpy2\nptpKX/G6X7shf8EFZy4iX9pKf2+ROR4R0RVk/YYMerIZbMCWQUvgiAUyORPVtrFLeRwbEHUQLcg3\ngDZJWRmloIdANDn6uBpaG2tYvKDEpq2DlIoGF75zGXU1YQrFSgJnQRTAobKRLVg4mMTKvdREpvP0\nmp0cvXTW310k8l+BQ0bhLU7v7l4arDy8IG/RYBd46IHHWHnzr5D1En0Fh6BhE1IqL0M2EKG66uCW\nPwRB4ORTjoZXWfYBWH7Cch547llm6nESRQPNMjgmt59yQWFLsJ22QB6xphJsFJYcBvb3v6yM8//t\ndJ5c+RTlvmG6nTKmKCEAVUae0fou5qeT7Am2Yzk2mZYZfPyD73qJjlKkKsiXv/dl0pk8Xo9GOlvg\nI5+8G0mvobMuyK6Mj22hcbAFIrUa9R6BBs+siheNbVFTW5F+TmfyjIylkMsNAJSFAvOWmSw/ykUo\nGObC85a/bJZjmhaGaeLWDj6gyjQt1m8Yo7fHIJ+1sA0/o2NRGqvbeP75UZYumcWa9TJ9ciOiYrP6\noa/wyC9/Q1dTkJFRgULJR8Au02DkaLJzzBJtVnpbMRUNSS+jl3QUbEzbRnEsBAEkUcSFRVpSCVgl\nDASyootqI4fHKDLUP4yvsYWpyQRtTX+7AJ2qyPzXf1xIvlBCVWTyhRJzl/8HhiPgWC7AAdNdUUxF\nxCxV4QpOIVg6RkmCUnVlUJdscrlKytOzT5/D5RedwPhkkq99+xEo1CAIAtf9ZC3VYT9zZ7aydFk9\ngwN50ukyyAWwRJDKJFNF7rx9BEcY4IkjdvP1L1zwto9vOGQU3uJ0z+7iqfu9dFCZKfQ6boo7trJc\nq6RGbDEdntGaafNKOC43p1924d/0BfhqzJrZSfmzn+DXP7mNreUkR5YGycoS1RoEimnynQuAij5R\n2XbQql7uIqi5VP79u1/kc+8dRxQyuEyDlKBSM38JZ115GY/d9GuCkzEy4Tpu+tnXX2IQbNvmnnsf\nZ93T65g2axrvv/R8JuMpilkJnwvcmsphczpp7KrlnFO7mD9vNrIs8fXv3sfa9f0oisglx50KgGOD\nRwlQLJkIiEiSzPTOOj75odNfse133r+G+x/ciW0JdM8I8NXPnndQon+SJJJMZ7EMH1CmEvItMBFN\nkbOnmN+xhFMOn4FulgnXD9K7Zz97RmLM0svMmF6D4zhMxOG4Zo2eoSh7JxNoloHc0sbcqR7W5g06\nykke802jIMooOKguleaAh11qG+n8FI5tMayEmFeKIggORj5PuqaVrml/XYbkYPnzTDQU9LF4cSOr\nnkiAqYJggZquLBXpYVzhLAtmzCZbTLJz9wSioGBrKSiHMDMSmtnGww8PcOqJcZ5b34uRDaDKlUFd\n1Kt4YtVO5s5s5VMfPp3xydvZM7wT0s1gVVeipwsxtvfuwutxU14Tom9wgmntDW9KG/9VOWQU3uIs\nXDCToQsvYsfjTyHg4Js9F+9jvz/w/4AssGBuFx/90kf/bl9IdY11+JJRGq08fsdgyhTZTRViuI7z\nLn4XW//4CGqpgNjSzkc+cOHLzr//7ofZ+dBKumoCPFqcS6dqEWpt4bj3vptTTj+WU055B7l8kVDA\ni/mizW7Hcfj6l75H8f7fEMimeMZVw0P3PMZPb/0OwYhJOWWQie3CMtIsWX44LY0RIlVBSmWdTMag\nOTAXUZT45S3bCfg9TOuoY8asAJmYhmFY+AMic2e98nLR8NgUd965C8WuBFTt3Fji9rue4fKLXllA\n7sUIgsCxx7TzPz17cWkaJWcMWVJBm6JGCyEIAo7jMDnwOGzdxR2P3ovg0tiquTDHy7QtOYzZhzey\n+snHyI7F8RlFMoIP/94d7BJFWqwsGz2NdBhJwmYRJImoXIf3iOWcPbubZ+64i0QszYxyjKyisUkK\nYtfO4JtfvvrvopX1qxs+xlGnfY2xwSimaUO5CsGVR1ZkXIqLZDZF2UoRCEoUc2kcoYBg+fG4FXbv\nG8N0Cnzma7cz1JdndDTPrPYZBH1hdKtMbU1lVmPbNvv35xAtH7ZaAIog53FyzZRND2LJTZ8xim4Y\nb3r7/tU4ZBTeBpx93oqKdDSQzub58eaNtGSGEQSBuCXR0N35d50yDwyOU9i1nU4zz/NaA369wOzc\nKELZxb71W/jS9d/CtKxXXGIZHJ2k9+67metkQYI5LQrGqRdx8SXnHpD81lwqmzfu5PHb7iQ1Os7u\nnEbtzKXMmBUi99SjNKSnsC2RBeYEzw54+K8f3c/nP3UyX/nENSyL7aYmqKKvz7K1xU93dze9/WNM\nDEn4XJWlIMWu4slVezjmyNm8/30Lufu+rdgWzJpdxcUXvOMV2zw8FkcvqigvNEmVNEbH0wd9z/79\nU+czGbuVLRsTqHIjTe0CX//iBXz9mpWUEg5TsZ3MnljDdDOOaJts8TXjCzRwVKMHa/lSlh9/JN/9\nw4M0lVPIOJyUG2CbVkvGcdFul8lJMjVmAbckEOjqYEFDLfYxS7FtG5csEXHBuOOny0gxoPhpnNZB\nx+t0Wf5r/PHxTfz+jzvAETjphG6eW/k1vv/TP7Lq2R727R/HJ9fRMc3D8HiedAwM2wfqCF3TplEo\n55gcM7FNL1NRg7I4xdgDIgoBBDHEhj1bWDCzg8OX1nH+6Yfzs1sfZ+36ftZv7MfBBkup6CzZEgIS\nkiTjOKApKg11b594hFfjkFF4GzEejXPf7fdihGp4zhaJBDzUzZ3zV1VE3yilss7QeJwJQeNIIYUm\nuWk1s5T8QRa21TO0ezP9w1E2rl5PbHCIUGMD//a+/x3wo9EY/lIGXBWj5ZcF1u3axw++9B0Ey6T9\niCWcdvaJPH7TbcT37GVqLIYfmd6syPjYfKYXSlj2gTTRgEAsrhMKeDixqkRH5AXPEyvNtrUb4Z1n\n4PO6kRXzgF6QZVu43ZX6nHvaEs45dTGWZR/YPzAMgy07+1g4pxNFqRw3Y1ojvnAZO18pQ3cyLJz7\n19NXvhhJkrj+msvYu38E07KZ0dmEosh88dMn85NfPEV6vI9OsqiKBGWDplKKqFUPCEiSRDaXp73K\ngzUMPqfiESVLIgXNzzaXhlcvkFJ9KB6FhoZaxkQPdjKDtvpRjpSypDND9EsBst4wrfV1NJQSJFJZ\n3JqLW66/lcLYGEpVNZdcdenrdsHd3TPMzb/cgmxVBuA7fr2H5sYqvvq5C+BzUCiWGZ2IcdcDuroM\nwQAAIABJREFUz/P4Q0EGppIUrTRGOsRAfpyjj60HdYKxwRSmbOFIRSh0YmCD4CA5IaKJGGecfDK3\n37Wa++8dondgHLOo4ZgFUApg+EAyUFwWXh8EgwrdcxsIvuBJ9nbmkFF4m5DO5vn5f3yXecl+mgSB\nvVKIU6++kvkLXjmV4l+jUCzzu9vvo5BM0bVwDitOfscrzjQmYylu/Nr38QzuRXfgT1oLZcPCEQUk\nQ6dvx24SjdO4944HadzyFK2SQ24r/Cye5KrPfxCA7s4WHqlqoi43iiAI7NQV9L07memv5F4Yv7+P\nm+Npenf20D6xn8ZCAQQBM6GgNx/FnuppRDNFOopJhrVqEuEZHNkSQVVlTEkFp+KZYjsOvBAs5nNr\nPLNlLXauChyZUH2BX/ziGwfaJQjCAYPwma/ews23bgCjEnj2pU+fxBeuuoDqcIDPf+oE/ueONdgW\nHL6klTNPPvgo5z9f589S4ulsnmuuuYfoRIFgSOXEFYtw7t6GkIlhmgpRxUtTwM3e+hl88pwTkUSR\nUucsxKF+SskpJmQf6VAtX7vhu+RzebZs2k0sGsNJTbJbFOg85mgy8QS1go5eU0U8lsSXL5GqaeDo\neo0dqgdZlvnUZZ+jc/ca3KpCfVsTP/9uiS9e8/nX1a5N2wZxdD+8sCcv2UGe39THssUVl1yP20VX\neyPPb+pjd18G3criFKuRHA+SDiN9EoUsyEYLdtnEUsdAMCvxC5aKRQrNbuO3d29AcyskUkmcQg0u\nsUhRykC2BVFyQBdxfDEKlokiTHHVh9//tt9khkNG4W3D9u37aJzsR1IrnX66mWTtU2tet1FwHIcf\n/+ePad+3nrAk0LtpDaVC6cDy1IuP++0v7mDO5F5kj4CvWmZjykT3u9lmtnAkSQq2wKCp0D3QS1Cq\nJEvxSTCwb++Br/RwyM87P38Vf/zVvQiGjhyOMGvd47yw+4oYHWPTnXcTT+dYUEhiIGOjUGcV2Dz8\nJ1a4JnBFNJ7LtpJuWcz8RfP5wtWnE/B5iDV0kNr4LE0BN1MNnRx35gkALF7x/7ATnZVrCBapqSJ/\nem4r55/+8qWim29dD6kuQIS8zXd+8DhfuKqSCWzR/E4Wze98Xff31fjODx+id7uCJFaRi9nkGoo0\nHXsasbXPUFY9+OcdzrLTj+GYE5YR8HlIZfKUmubR01VE1DNUtzfz+SvfzZFHzAPglBVHHXhOALph\n8rlPfIM963YQMIrYtk1C8kF8kgfcnbznsvO585a7kPZtJ1xMYxccRk0TK9SCaVoHnU4VoLuzDkfq\nBSouwyZ5Zna/9D499Pgm9HQ1kuVgG2UcMQdyBlGKYBsaPncIx1upN6Ua8I5Usrg5EjgywYCPffuj\nJNNZxscsnIKE40ohWB4kWcERy1iGgqMLmI5ENiXwo589xvzZu/ng+49/iY7X241DRuFtQigUpCiq\nQGUjrWSD2+973eXEkxnkwR7cUmVQbqJE34bNL0l1+dyzm3jgxltI9A2yzzY4ttlPQ2Mt0yMKk60z\nOW5oCyO5ejyKyFKXyrjw0m7oaO6XfLHNmtnJrG9+FoD+wXHu3vo8ETsLwPBUmo5GP5G6AGP5MG5L\nx1J9DHnCzEhuJSzlMFWN985sJ3p4G5/8yiWYpsX3v/ZDpg9sZdzrYRUhrv7IZVT7K0s/uawN1os8\nsASTPzyx7mVGwTAMsFT+N4GhiGMefCDX62FqsogkVjR6REEknxX4/PVf5rl1m5g7ZyYNL0p2Y5oW\nX/z6XYz0CBTjEtnEBPbQfn6yfRtPn3kal3zg3QR8Htav28rGR54EIKFDcP0qnhOC2LIfXZCYIRU5\npr2akYCbw45YwJaHH0dUXFiAJAjYpSKWx/+6DALAEYd1c9Y5Izz+RB/gcPyyZlYcO/8lx/QNTOF1\nBVk438Xa7WOYmRowFExXikBERJb8TGtoZCqeZvvuAWxLBakExVpwVMbjo/gsm9aqOeQyu4jbQ2BL\nKLKGTRKr5AOhBJZGSchSSmrs2iBQjpv09N7F9de+93UF5b2VOGQU3ibMmdXBs8euoHf1UyimTrZr\nLp+88MzXXY7mUtFlF7wQuGs7Do76vxvE6WyeP910GwuS/eTVMvGREZ5XpnFEnYdyxwyWH3U4U3fu\nZX6Vju04bK9u49zL3sNjP7+VQDJKNljDye9716tev6OtgTkXXcSmB1ciWCZ9DRLvrDIRgNVON0Nl\nh67FC/D3j1O1dxypXMTtmIwPjqIcURm8t+3sxb9jPSXDZM/+cZqKO7j+AyOcctUVdHd3EwxLL+QP\nfsHTxpXmgtNOfVldFEVBVEvYlWESBAPJVX7d9/RgCFeppCcsRFHCcRwCQQmvR6O9ueYlBgFgMp5i\nZKCEMLgaOTfKKel9+G2dUtLFozdN0fObOzAbWykWipxTJ+GTBe7pTZFP6zQYWeblxhlVfGz3NjHf\nFPA5BvlCCbw+Fjf6ec5qRykViAcifPMTV1AolpiMpampDh5U0CPAZe85jksvPJZsrsgTz2zn/pXr\nWXHsPMaicZ5YtYPHn9rNnr15FEXFL7Vg+G08HgVNbWTBggDLlnTz3z99mES+SF2HwcS4jpNvRFDz\nCGIJXSrTEDocRXIxv3MhRT2PVjNBfMJhYCRGMpGoGHBBxrJ1ZKsKTVORRImJYYm+oQlmd7f+PR7l\nPz2HjMLbBEEQ+OBV72fw/FPRdZOOlrqD8pn/S3xeN7PPOoO9996LJ58mUd/B+y/930E8Fs/gy8QA\nqK2tQhCg11NL8uhjueqydxLwebjPtOjbsg1cGpdeeSGtzfXMnvNNJiYT1EZCBHweBoajWJZNe0vt\ny/IsnH7WCZx25vHYts1tN/2O+ON/ICIYdDZUs+y8d3P4O5bwjTMvIo5KSLdx60X2hDq5+uyTgcqS\niePYrN4XZWFqtJLwa3KUJ399P+957/lsfvw7TD/yM5RzLhAtjjqqkTNOWvqK9+Oe2z/COy+5AVtX\nkF0GD935qdd9Tw+GL37yDP7z2t8zGS0TCMl88ZOnveqxPq8bvRxlXmGUPVaZkFXGxqFP9POO9H72\nGXU0xUZQBIcH4s2EQwEKpo1hOSwpTLDDU0ejnuHw3BArhxS8nhberUhc+NH38+1PD2EZMVwCNHa0\n8sC9j7Lpd/eg6kXM+hY+fc0XWbxk7qvWbdXafXz7h6sxDYcZM0P09yeJj3oBh+9d9whuOUjv/hRu\nsYr6+jAjsWFsMcCs6a1Uhf3YtkWkSuK/fvwgfb1FcMCjhhDEcUS1CMjIapn6SARJy4PlQRAEVM3m\ngjOWMjqe4Kbbo2hWO6YhYtoW+Pbj0krURiob5rJi4fO8ebE6/2oIqVTqUObrf3J6enro7j5Ikbr/\nI8aiceKJDO2t9QeC3R5ZuYptz6xlxzNrOUbNEYmESVoi7nMv5N/ee85BlWvbNtd99xdYG59DtC30\n2Yv45FeuOuCN9Jc4jsOjj6xmqHeAGfNmcsyxh3PbzXfxzI03MSfVz5DjIeYohE45kx//9KtAxSPq\n6iu+RPyZ1SwpjJIWXdhaNSM1dfx81V0H/bX7j+DFGdTg1fvGNf99J0M/v5ER3WRxphfVMtil1RKy\nSyg4NBhZSqKCIkKfvwFNEtkqhpifGsBjlolYBXKiioLNzv/P3nmHWVVdffg959ze79x7p3cGBoEB\nadKkiWJvsfcoBjXGkmgSW/LFlqKkGDVGjRqNxgb2hiJVBAWkyAxteu9zez3l+2MQRVFmBCLtfR6e\nh7mnrdP2OnvvtX7LVQA5Bdz059/yziNPMsRfj04nsaorQeW2OkbG2zCh0mO00Tx2Jv965ZFd2t7c\n1sWsq5/DYegVn6tt34ooO8nPziASjbNxUxPuzCgdDSbklB6LXWHEsHx6UluwSwVIgoQzI4pClPlv\n+JGFCFrCBoYwCEmEhKd3jkRMYvJ2ccm5EwgFVRQFSgY6WLOqAyXqZmNlBfGQFTSBUDiBaAxjNEro\nLBEKsrM4+0fDuP4nX/YM98f3b19yuKdwCLFlax3vvfA6qApjjp3CpKP7Fw3zVbIzPGR/JaZ72dJV\nbH363wzSIlidAu+0GxhZWkx2WRln9WGYStM0Xp37Hp8uWEb35xs4JtuCWScQqPiEd98q4/QffVOK\nGaC1owdFZ2XicVMYWtrb2AiCwOQ8B2sNA1FTSVxGE6ec0bu9qqrcPec1avyDqZVasUgxnIoeOQ41\n2PZrhwD0OTrmlp+fy/2RDjwfL2VJtQFXpIugaKRecJKVipAph4lLejRNplYxoBck0qx61gjFTOja\nQhAjek3BLGo4kHG2bOO+Ox8kX5fEYNSxqiNOdX0LlmSMStFBuhwmPRrg8+aWbziuL6ipaycZNX0x\nv4wo6InFeue4ZEVB0wRiUZW4GkKUPcQiGpsra7njN5NJ9zmJxZNMnTiEC6/8F6oujBbMQEDsrYSn\ni6JpAsgWkHRo8TgLF1fz9KOXMv/Dcl5/Zz2tDTKa2kFMCSFpNkwmHWpKj2oOYlCy0OIB9JKRDF//\nQmwPNg47hUOE9k4/L/3hr5RFmhEEgRVbK7DafsGRR/Y9dv67KF+1nnwtAkCOVcfRriSTZl3MUaOH\n9mn7l59/i+CrL1Dc0UpGez2LUsWcWOTEJoG/u2eX26xaV8n9f11MImRF1Mc5+dQCrrz4GE484zge\n+mQ148RqZM1KbUEZR0/udYDrK2pZvzqG25rOVmk0i6R0nOYWMPhIz8wnFIntVZmPfUVdUzvhSAzt\nWzJwBUHgl3dcyweLjsL05z9T2yAzpKUaqxKnSe9glS2fIYSp0wy4BIWJwWqCMSspq4MV7mJcsQCe\nZIgunRW7CvF4jLzq9ahGE8sdDsL+EMmUSq4cxaNE2WjOxK/EiYjGb3VcA4oyMVrjO/72Ol1EbO3I\nagqTSYctvRMi6ViMUeL6RkwWM2aXjmlHDyEn07tju+wsBwZ9Gwlhe/SUoAJiby6KIKDpYiRSKo0N\nYc69/B8UeY6kfosRfzAB+h6Q7QiWLcRTFpDMyEErgk7DYNVh1afx4aJKzjvjm+KOhwqHncIhwoa1\nFeQFmhH0vS9sXtLP04+/SNW0ccyYORmXs/+RSF/FluYmomhYt0clhQwWfL6+Z4c2fl7OAFEm4XYS\naDVhj/oJyw7qremcd8yEXW7z35c/RYj7MOkBLHywoJqLzzkab5qT6/54GwvnL8NsMPDzEyZjMfdO\nhsfiyd46wIDdaiKiDkL0plOaP5io2oCqqrs81v7EX//5DosXtqKkJKwuP4/+LX+X908QBERVIceo\n0SYJZJgElJQen9lAOLeAZREFl78VTzKMqgmYBRWDksBjVBmoBlGVOMVJP1tNXppNLqa7zWRleXmn\nXaVZ52Co0oRLTZIQ9OQne1jqHMi0MUN2YXEvmT43F5xXytKPW1FkjUlHZnLx2T9i3turkESRGVOu\nZ/bPn6KtSSTdPRi3zYNq6MD2NSf96xtOoL6xnQ1r/ZCy4fE4CKYaiYYTKKkwKBIiOowmlUTQTmM8\nQDyRgqQdxAQIKbSEDZ0lgaJYUWSRcDKKydhDNJzNoZ6qcNgpHCJ40j1UiEbcJEmoGu9V+xnaspRE\nWwUPLFzG9X+4tU+x2fWNrTz3wJNoQT+GjCx+8svZOO1Wzr7wVB6oqkNXvYmUZMA97kiK8jP7bJ9g\nMqNqGrFoHJPbTYfgomP0VE4/4wSKi3KJJ5IYDfqdvkIVZed9qIpASlYwGcHjdnDO+Sd/4zgjhxWR\nVbiC7qYUPq+dYGoLmuymqqGeo6eZcdr3vrbP3qS2oY3FH7ZgEr1ggFCbyOP/WcQvf3bqLtcfOryU\nT+0ZqGIXRpORmMmCM7eA1vYgRWoUUYvTIRgpQSCRUolJkDBJ5JsFwnoTfmzoFYkhWU7yct3UhRWq\nO8OIAkQUAa+goQkCOr2ekjQzeUXfLZg3flQxl5y3cwb9Ty6eseP/Tz00m9vufJWWJpmgXMc5p5d9\n456UFGXx3su/4p0P1/LJqhqMJpEefxorP/JT19BNVGnDbrMxOG8o5ZWVBOIxNFUDBNBHIFQAmkBE\n9iMa4mAOACImBlDXXsP1N3/7JP6hwOEazQcAe6NGbGaGh4ruOPWNbXzul/GGOhmQn4FVJ+KOdLNF\nszJ8N0NJmqbx0O/+ytCGDaQnAtg7Glha28P4KUeh00lMnDaOkqlTmHD6CWTlePplc+7AYh554QPC\ntbW0KhJSZi4XXT8Lp8vBg//3Fz556VUWLfqE/MGDcG+XVYgnY6zd0IioGZHVOGWjrMycVvad4+56\nnY5pR5cSSrZhT0sQjEQQBT0WswGVBCfNHPGtk9r7Aw3Nnbz/fgMGnQl/pIsOfztWh8bJM0ftcn27\n1YyjuJhNTV1UBVKYHHY+7kxxVE8lA4lCLEqXZGGT0UtM0tMsWYlY3Zgl8HhcZOdls1axIaWSbO6I\nsLaxi/H+KoqSPWw1+ZA0Db3VSkNaPhlHjeent1z9nfH9u3qWq+taKN/aQCAcwWW3YLFKrN9Qj5o0\n097Vw7ChmTuK6XyBIAis31jLwiXb6GxL4XYbuO3Xx3DpxSOJRBKY1SzWlFcQTYaJK35UTQFjZ2/m\nuezoLdSjWEAXR5/MRdMHEI0hJEOKi84ZR36O7zttPpg57BQOAPbGQykIAiPHllE6bTIfr68iUl1J\nW1eQmpREjk2PVlq2W6eQTMl8Mvc10uXeuQNJEGgXzUw6cfqOY9i2l2zsr83JlEz5/AW0JFQkUcCi\nJGmPpli/cg1H1K0nXYmSEe5g4eYmphw/FYAjBuaQlWNA1fsZNzGdn15+HOs21vLUf5eyam0VQwZl\nYzJ9s4EyGvQcNXIA6zbWEWz24LalYTc76OlKUVhiJjcrDVEU90vJA4fdzJKV66mua6ehPkTYL6Go\nGmabzLDBu/5Kz8z0MvPUGUz40cm8ubERR1U5vrgfkglMAgQNFiI6E6NiLRQmuikQ49QNnoBj6DA+\nqu5geoYJzWimvbUdtxylUA4ippI4lDif2XOxHXcy1/7xdi788Zm7rRvx9efisWc+5G8PfMKTT37O\n8/NWsnj5VhYv24rXXIJJb0WOWdhSt40TZpTttJ+/Pfo2v//TEtpqLHR3KZC0oupCnHb8WMaPLeb3\nD75AuMPVq3Gkib3DRoZErxyGakYUQVN1CIYQqmxAEFWsYg5WfRrNnS2cduKIHQV3DjWncLjM0CFG\nXW0ThS1bKRbilMQ78LXV8r6Sxomnzdjttga9DsXl/VIaQdUw+L5/wZWvkpJlautbGO+vYlSogbz2\nKso3bkUN+BG3N86CIEDAv+P4AFMmDOFX153KRWdNZn15HX+4fyHrV2qsWJTgpjte3FF1a1cYjbre\nL8jtJOUkjzy5kEtmP83sG//NtpqWvXJuexOzycj9d5+NKoZwWB3k5TpJd+Qxf8HW3W4biSUo6qxF\nMJtRDUaSiEQ0kQZTGp5kGJcSxyAJeLUkYjhA2pChlMQ6UDrbSDMI5OtSpHRGkiroNQWjJpMtJPDJ\nEYYOLvpGPsnu6PGH+OCDWtqaNBJxjXhER3VNO61NCeKJJNB7zxOJL+d51lfUcv/Dr/HCSxtR4zZE\nQU8iKtHcEqKjo7dmSDgcR0y5EdGBbIS4F9AgYQPVgGBpQdWFwNaAw5iBKGkIuhRGW4zSgVnEowLh\naHxXJh8SHHYKhxgtDS14hSTFgwegyynAnZHOmGkT+6R0KQgCl940m82FR1LuKqBuyAQuv+HyvWKX\n2WjApRcIqiKfKHY+T5kJdHQieDNIqF86IX1m9rd+wb+7YANi0osgCEiiRFuDnvIt9d96zEvPm4wz\nK0A0GSKa9BPRmhAieRDzEWhxM+fB+Xvl3PY2HreD0pIcBg3IwuXou6qnKIhIokhRlof6tHzqPfl8\nNvhoZt19CwF7GjGDGYvNSptkJaYJdLzzBrF4EqWpgY6KCmr1LuxuB5XWdGoMLtabs8gTUwTq6ojG\n+5/JHU+mUGSR7kgb0ViSZNBBsEtPSggRT/Y2ykklwrChGQC8MX81d969iPffbae5XiElBNDoDX+N\nyxFKB/UO+VgtJhxOHSrbgwqEBKgSRDORUhmYtTysaRHSHVlk5+vwZQo4dPl4PGZEUUARQ/z1H/O5\n9y+v0dzW3e/zOtA5PNF8iCDLCg3NHaTnZbPR4mVIsovMTC+Vop1jp+06W3dX5Odmcst9t+11++w2\nCxnDy9j8cYThPTUY9DpikQY0QaNt9DHE21rRp3mZff2Pv3UfJpMOVUsiCb1frIKkYrd9e96B027l\n73+8kFXrKjGb9Mz5WxAx0ftKCIJA0K98a8z9D820qUW8+Xo9qiaSEvxMn7p74b28bC/SqHGEli2i\nMMdHwJ3J9f93M52BCMaCYjaJGi6rAZ3djtvjpkxrZ5HRwvqIo3cS32InMqCERnMzaS21TJECiKrG\nikCM+rpmyob1L8Erw+uioFjPmvUpSHlAUDDixmpSmH68g2AwRemgHC45p7fc67vzK9CraThMKcy2\nNpJRG0ZXF4qaYvBIJ/5glAVLNzBjchk/+tEg5vz5UxBSYOqEuBukGCajBZPeQixlIqmLYNPnkDvQ\nyramCsxO6JY/p6MySW1lgoy0TDZtnsfPr+n7+3EwcNgpHALEE0n+ducDmLZ9jizqiBYeQaVUCJrK\n6JnTGTFi8B7tPxKNk0ymcDlt39mAbtpSw+dryskvzmPcuOE7ravTSZx29WX8dc16NKudhNFEUWEO\nVV2dXPfQvX2yY9ZFU6nY/DJt9TpEncq4SU5KB+TutE5XT5D15XVkZ7oZXJKL1WJi2sReWQavbwnt\n9Sl0oh5VVUhPN5BMyRj3w4nnyy+YRknxJhYu+Yzjpo9j4tjd38N4Ikmkx48uFiEkq1hGFfPh/KV8\n/uijDIsH+EzvIWL1ctl1V7Bt7UbU8jbyEj2YDHHKjemMtaVYsaUcMxIhQcdKyYfDYuCoNInayrp+\nOwVRFPnDb89l9Wd/oV0Q0DQJq9nI4LJcbrlhVxnwvc+LTtIzuHAA9d1bmDl9KKIuxZaNMh99EGfx\nB+vZUtnKzGOG8dDjS0kkgmjhzN6oo7gLRZMJJTqwWiE3w8fW1s/wyhay8hyI8QzWbq4gFUrDbrET\nCNRTKKezvryB0SOH78Keg5PDTuEQ4LW588nfump7DkGChqr1TPrtbxg5vP+1FL7O3OffYuv899Ep\nKaSBQ7julqt3Gb2zeNEnrH78CfJTftYIJrYdfyqXzNpZ+G7kyCGUTplIYf0GdJKEommILnefbXG7\n7Dz4pwup2NqA1WrkiJK8nRzPxs313POn+UT9FkR9ghNPKeCqS7+cS7nq0onMe2czba0BWjs7aGo0\ncdnsZygb4eHWG07bMfG4vzB53BFkpun6LMHw2tz5GJe8ixgNYRUl1NXLWNwjMyPeBoJAltzMp0Ez\nWfk5DB85lH/f00yYWlS9EW+6h1hbPX7FyfhEPWIkSKNow5IysS0eQ6hp3HGcYDjKI08uIBBIMqIs\nm3NPn/CtHwsmo4HZV0zk1Xk1iIodVQpx0glFu1z3+OMG88zTGxEVJ6Je5ic/PporL5rG1FPuo6fJ\niSiGKSrwsHBRJS+/vhotYUJL6hE0I6IqYM0IYDRrWIwmBuaMp6K2nGRPBg3BCPVb42RktkHUAykj\niWQcE146Am047AP6f3MOYPrlFCorKykpKdlXthxmHxHq8eP7SntmUZL0dPn3eL/VdS3UvvoKQ4Xe\naKTwho945aV8zt+FztHqdxcwUAmAKJBLgo0fLSf5lQprX3DRDVfy3AP/An83ojeDWTfM6pdNVouJ\nsUfuupF8+r8fo0Z8mA0CYGPBBzVceNaXGcxWi5G7bz2bTdsa+dmN8wiGYpiNGolwjJeKVnL+AZ7l\nunLppwzobO4tYqdpNNQpYE5newR/7z9VQZIk8vMy+flffsd/nx9L43vvMkANsajbTX4ygF5J0aPp\nSE+F+EzzMiEvk+C6z6isnYnDZubO+96gtcaKTtSz6fNqUimFi7cPAe2KS86ZwqABmazfWM/wocN2\nFNv5OmecOJaCXC+r1lZRWlLKlAlD+Pvj8+nuVFGTemQNtlW3I5trIZiPTXQjS1vRRIGsjDQGl2TT\nHt9ES2uA9ZWf0dMpIsTtCOY4mmymvT2M2WgnmVCIJeIkUgkcxghlg3N3ac/BSr+cwtixY5k8eTJX\nXHEFp5xyCjrdD9/R8Pv9/P73v2fx4sU0NDTg8Xg4/vjjueOOO3C7+/6VeTAzfuo43l3xEaWyH1XT\naPTkccbIb8887SttrR04kuEdpTJtErS2d6KqKoFQlFRK3qHE+tWIIQCBXeswFhZkc/tffouiKP2O\nZtkdirKzdpCmiiSTKdjuFGRFYVtNE089/yFV1WF0soduIUHIV0dd/f6d1NYXnBYDlSYfQxIdqIJA\nndFNxqjRtC9vxZsKUyc5MAw7kmFH9M5P2K1mrrrybKqPncC2LTUMXruJbU89gZCIYQHspEjTEmQo\nUT6u2Mq8m28jLurY0uXD4x0PgEGws3Z9Exd/uxo6AONGDWLcqF07g68ysqyIkWVf9iTq63vI9Hio\nDnaQillIJTpRQipEZCRRweEsJOaqw5OVy9a2taTiAuFWHyk1iqKlEDQVhy6NiNCEknSgWDrBYMSi\nt2F2RMhzl7Ls00pKS/e8V32g0K9W/aGHHuLpp5/m8ssvx+fzcfHFF3PppZdSWFi4j8zbPS0tLbS2\ntnL33XdTWlpKc3MzN910E1deeSXz5s37wezanygrG0Tixp/x8XuLaG7vYewxR++QfdgTSkuLWJCW\nQ/r2UpkNmMkpLuTen9+NUl/JO+nZnDL7UkaNHsqomdNZ92Qt+XKQLoxkjR//nUlikiSRTKZ45eV3\nCXR0MWLcSMZPOHKP7J0+pYSnqsrRay5SSoKBQy2kbc/iTiZT/OzWl6mvkghGe9CiHhwWARETgUCQ\n0kF9z87eX8nKy8FTkMWWHicIIjlFA7j5vl8x74UhbF1fQf4Rpdxz7YU7iua88+ZCNi1TGRqFAAAg\nAElEQVRbgSbpOPa80/j1r6/k4k/X0bomgFFJsUWXRakUZ2tzFwZXOoOlGLKisq2tiZCzDJPeiqqp\nGE37Ztjt5TdWsnxlFU2NCRIk0BkVFLkHUk5ARpH1+P1Jisps/OyacTzzZA2V9fXYzA5SioW4rpJ4\nQI8/aABTCoxNiJIdkyvEgGwvXmcRkqCjqqZzn9i/v9Kv5LXhw4dzySWXcMoppxCLxfjPf/7DQw89\nxKefforNZqOkpOR/Hqnh8/k488wzKSkpweVykZeXR0FBAXPmzOHaa6/FYDjwqyftjeSZNK+bJfOX\nkVuzgei61SxYV82YyUd9r5oKX2A2GSHNx9vlzXQ40hlx1hls+2wDg2o+w5kIkadGWbapgSknz6B4\nQD6OwUfQbM9g4AkzOe3Mmd/5rGiaxt/ueQjr0ndIa6pk46friLrSKSr+bhmF76K0JJv0LB2y2MOo\nMWncOPuEHQ3gnXPmsvDtKDrFRVKJkIqb0ZtTmEwiviy445cn7ZeVuPrzbJQOH8zyLc049CL6rGyO\nv+IiBg8uZszY4Rx/6gzGjx+BJPU24O+/v5wFv/0d9vJVULmZz7bUMmTq0eQVF/DJxmpsXg8Jo5Vt\nqpkWRyYnZOoxSSKiKBBPJam3ZaCp4MqI8usbT8Rht/Tb3u9ia3Uzf/3bClzGfJoaoshJEUxdKDFT\n7ziYJvYK5VlaOf/cMnKyPaz9rIdA2I8cNyMKImaDjahUjaiPo6kiUjIdo+jCoKWhMyXxOHzIQohJ\nE30cWXZYOvs7GTZsGHPmzOGuu+5i7ty5PP7441xyySVkZmZyySWXMGvWLNLT905S0/chGAxiNBqx\nWPoew32ws3DBx2RvW4Pb0Dt6bK5ZxwfvLeX0M3ctSd0X1qwpZ/ljTzIm0kF31EooGKatqhZDfTOS\nTsJqtWKIhojGElgtJoYNG8iwPkaotHf6EbZuxLZ9BKlIDbNhyXKOOXbX4nh9ZfqkYUyf9M0iMOWb\nmxC13vBVk86JbApgtXoYONDG1BlF+70mUl9w2Czc+odfEo7GMRsN31lG88XH/8sYf0Nv4mAySmDj\nWl558V2q3n4TX2s1tbKOHk1PgUXEJwRYUC9yRrETQQD98CN5/I6LSSRT5GZ5++1Me/whkimZdK/r\nWz8ctla1oCbNGPQinjQboYCNqNAFmgFiHtCHwBDCYEvw0YoatmyKU9NSj83qICW3ocoido9GostL\npMeEGtejKiYSUorCQWnIxnpsvh4mTSxg4picftl/oLNHkwL19fWUl5dTX1+PXq9n8ODB/OMf/+Dh\nhx/mkUce4dRTdy3StS/5Yo7hsssu2++iRfYlsXiC55+aS6Sjk/TiIs6+4OSdxuQTsQSGr1wOg9D7\n256waO6bDE12gl7ARZQPnnmeSCRGRlcnoixTK2uoU0d+r6Eqo0FPStLD9oRjTdNgH85hzZw+jNUr\nP0JNZaMT7Nhc3Zx3SQ4zp43o01j3gYIgCLuVBlcUhY72blaqTkyCxjAxjB89m+a9ydTGz9Cjogul\nkIxuRmkRapNOjM4MPi8Yicfj4sorziUro/+9AU3TmPOPN3nl9XWEIylKBjj576PXYd7F8zO0NAe9\neR3IForyvazfsgVSZvR6HSmpFRQ9gjmAz+VFn8xHL7s4Ii+N1vA2rrlgNMdOHUo4nOTCWU+gJs0I\npk60WBqKpuLKDPPgnGt26B9t27at3+dyINPvVjOZTPLSSy9x4oknMnHiRN59911uvPFGKioqeOWV\nV/j888+ZMWMGt99++x4Zds899+B2u7/1X1paGsuXL99pm0gkwgUXXEBOTg533nnnHh3/QOMf9z2K\n+cPXyS//mOhrz/PM4y/ttHzKjAls8xQhqxqyprHZXcC0mUd/y976hvA1mdJ4VxfHZehpySphmzOH\nT4yZXH3LT7/XkKLLaSNvxgyqNTMdSY3PbbmcfNGP9sje7+L8MyeRlpkgqttC3LCZc88+gt/edC7j\nR5ful8lre5OvBwE8+9Q8RoUaGJjsJjPSxftCBoEBw7CEejAIGrIGZjUJikxHJIE10ElUFfnZbT/l\n6pt/8r0cAsAHS9fx938uYVu5Qkulk5VLZC68+uFv2AdQlJ/JT64cjTPLT1puhJ9dP4Ijh2dz9Jjh\njB8+kkyvlxHDchlcmk6a00FNXTuVNe1osolzThvPsNJCtlW14UozIrnqMdlSOHPayS6UuerK8TsJ\n4h1q9Ksc5+23384LL7yA3+9nxowZzJo1i5kzvzk2vGLFCk466SR6enZdHKUv9PT00NXV9Z3r5Obm\nYjL1dvkjkQhnn302oijy8ssv92no6GD5AkilZJ773Z8ZGm3d8dumjEFcess1O63X1RNi2QfLQYNJ\nx03El/altMX3ydxdtng1bW+8hhgJUdEZw59UyLYbGZ9uRC/ABkceV/zu53vUqNbUtdLd5WdASR4u\nx74ZwtE0jat++Tyb1xpQZBG9AYaM1HjwD2fuGGM/GKkor+LjV95FSsbQ5eZzzo9/hMmo5z9/+icl\nTZtobWhBSSSosGVx3r238ewfHmFoczlONU5NFDolM6NSHaQ0gbnuYfhEGbsOdEUDueneG7H1s4rd\nL+96leVLAxDtHXrWhBTpBRGeefQMnPbdv88fLNnEu+/XICclvBkav7hmGm8v2MgzTzWQjPY+O6K9\nmZ/+ZASJpMKSD8NEQtDYFMLkCjAgcyBGdxe//dUx/bZ9f2JPS4f2qz/+4osvcvHFF3P55Zd/Z8TR\noEGDePjhh/fIsC96BH0hHA5zzjm9MW99dQiw5xfvf8XuasRqmobR7cUqhHb8bfelf2ObgcD4o3aW\nWF6y6BM+mvsGQiqJt6yMWT+9qM+hoAMHDmTxwAE8e9efmehOIEk62hpbWGssxOe2Mu7M0xk0aM+G\nXv4X92jR8o3UVMdJxe2I6EimNLZs7sRocfarJsQPwfetHxyJxnnxT/9kYqL3QyJau4FVS4u44qcX\nYU/PwBFswDm0996lHPmcdMJ0elp7+Og/L1AbibA1mGJcqp2gIY1yzYo3EWRCrAkEAX20lf8+lsv9\nD3+zt/5d9hbkZrNS50eG3rkMQcDrtTFo0EActt2/0wMHDuTCc8P85ZG32bSllT88tJArLjqa19+p\nIhxIEkuGsFrtbNjUg8vuwG1Px20Hvd5AezBMcVmSX153AQW5O8+HHq7R/B1UVFT0KZrH4/Fw4YUX\nfm+j+kM4HObMM88kEonw3HPPEQ6HCYfDQK9j0ev3P4mCvY0gCBx7yTkseuI/2EJdBDzZnHfFBbvd\nrrWjhxVPPs2wZG+PrGdpE29kpnPmOSfsZssvKSwpYJjXRKbQWy7RYjXT6S5h5IWnctIJ07/fCf2P\nqanrQEWG7bkTGqBoSVrae/Z7p/B96ewJYg19KfZmkQQ62toAOHPWBfz3vi6UbZvY2hPHnmvl9zf+\nDn1WNolIBHM0hMvlJSfNQUt7D1JPFF80iFWOowgikZiOnrqGftt0/IwhfPJJM1WVbShJB1ZXgnPO\nGseS5RXM/3ALyVQSUVLI8KUxddIgJo4dRFNLF06HBW+aE4Df/PFlXnulhljAgGCIsWrNC2T67CAI\n6OIFRGMia9e0M+Yo0DQzqqrR2RUmgUxzg8x7Cz/fKcv9UKRfTuELh1BdXc2aNWtoaWkhKyuLMWPG\nUFS069T0fc26detYs2YNAKNH99bh/WIo5M0332TSpEk/iF3/ayYePZqhIwbT2RUkM93dpwL09Q0t\nuEOdO5LP3KJCc+23q4ruCl+ak5AzHS1QhyAIaEYzI6eMZ+CAAycLdPyYAWT47NSFOxE0HZIoU1zg\nJS/bu/uND1DSPU5CrnS0nhoEQSCkgCuv954VF+VgyM5h9doKitprsbZXYmzwsjwkMkPowoBGetLP\nCnMZuRm5tIeb8EkxAHSaiqxq6DP770ynTRrKI1kLCYaMKIQpKnQwqCSDxx5djyg72FhTTTLo4IhS\nO6s+WQb699HJaRjMMmefNYTzz5zIkqW1JP0eBEVATdrwU08q1YUQz0CnqRiMCoXpg/B6FDSlmw3r\nuokpcfKys9ErGbzzVh3HT2+jMC9jr17vA4l+OYV4PM5NN93Eiy++iPKVSUZJkrjggguYM2cORuOe\nJ0X1h6OPPpru7kNP3nZXOO3Wb4ROaprGi8++Tv2atWg6PcdecCajRw8FoDA/mwV2H5nJ3uScTlUi\nZ+Du1Ta/itVi4qRrLuetf7+EIRXHVTKQWZeeSV1d7V45p/8FQwblc9cdp3LH3XOJRwxkZbqY9ePx\n5GUfvJONZpORc39xNa8+/hxiPIZz4ECuuPRMALZWN2FctxIl4Cc35UfQNEItCXySnahVj4EU2Wqc\nFpeDP7zwID+77Gacn3zISlsBBkEj7vRwxy+u7LdNS1dWIESzKSvufYZVVeGJZ5cgKgVEkyHiQTOi\nasQfjBJOBtASDgYPdEMKXnmtghNmDEfYHjujqiqqCmggaXZEg0JpYRo2iwlBAJ/Hwt23ns1t97xI\n7SYjeqm33ZITOjq7g4edQl/5zW9+w8svv8ytt97KWWedhc/no6Ojg7lz53LfffdhNpu577779pWt\nh/kevPfOEgJvzKVUTAEw/+9t5P/lHnweJ+leF9OvuZLFL72OkEqSMbyMU0/vX9f5v0+/Qu2iJRg1\nBeeRo7jqhh8fkKHAJx4zkpI8G1nZuRj0uv26JOfeYtDAAm65//ZvBAIoqkpTJEl3UmWhIZuEoCdP\nDdNgcDKUHpKqRiMmLLk5GI0GfnP/bTzxG5HTgk3EkOgZPoFhpQX9tkcUBDS+LKijAekeO82BKJKo\nQ9DJkFSwmo34YyqGr8x9pRIS0ViCmceV8EJLA6mAiKZPYNALeNwOUmoUmRBxWcGXk2TWxedgMho4\neeaRPLxtDWhGNE0lLTPJoAGHVl7C1+mXU5g3bx6//vWvuemmm3b8ZrVaufnmmwH4xz/+cdgp7GfU\nbtpG9naHAOAJtFFd3YDP0zsGO2HiSCZMHPm99r1+w1Y63n6doUJvQZSu5Qt4b2AxJ50ybY/t/qGw\n7SaG/2AglZJ59K9PEtiyGUWnZ9oFZzFl2lE7lhflZbKuLUpuwo9PDmOTk6yzZhPw5rAw6UIX9mM1\nSAzoaWPD+i0MH1HKT+/7LS88+wYbV6wiv76Gv971IFf/6qp+Xc+pE4fy+jvraayMAALdySqKzQOw\neLpIxYz4cpIo8Sh6s42MHDBpvcPZiiqTWSCS7nHx+9vOozh/IU88u4yuriS53kKy0vKQbJ387JqJ\noAmMGFqIzWqm2x+i7Ig8rrgiybKPq9AbBGZfdnqfJrUPZvrlFJLJ5I5x+68zZswYUqnULpcd5ofD\nl5eNf6WAS+qdRPVb3OTk7p3J0+aGZtKUGOh6vzTTRJmW+qa9su/D7DvmPv8WxhULaGoOIsajPLL2\ncwwP/ZHxR/XWDOgJhMnVa8iiiEmRaTA6OTLaTHdIR5Uti6J0N2XpVrzJDuY//yrDR9yC02kjuLmC\nU8ROiEC8vJlnH3Nw9c+v6LNdRoOeP999AfMXreO/81Yg1Wax6TMJndHDxGk2nv3Jj2np6CEUjqJp\n8Pu/vEFrWyujRuRx+UXT+O8ry8nwObjqsmP58QVTufO+16itCWMwdnL5JROYNLZXBFLTNP7yyNt8\n/FErmiYyeKiVe+846zszvA8l+uUUpk6dysKFC5k2bdo3li1cuJDJk79dHvcw+57O7gBPP/AkSk83\n5uwcLr/uMs446wQebWylsWIjqqTnqDNOJjdr70ygDj3yCJ7bXsUNoEa0M+WoEXtl34fZd3Q3NbO1\nLYS7u4lOTY87FOTFvz/B2Kf/giRJuBxWYjYnOhppNTgYEWtBESQ0fyv50Qg5RoV1YQ/DizMRFJmq\nmkbmPvUyVRs343TrKbDpMEkC8c7+C8mZjAamTBjCrb99i1iXDkGIkeYxsHlTEoNBT0FOOs1t3fzi\nlnmokXx8Rvj881p+dcdrmLVsZK2eFauq+L9f/oh7bz+bT9duxmQyMPIr8iqfrq1kyYedmKTe96Bi\nbYyX31jBBT/as2TOg4V+OYVrr72Wq666img0yumnn056ejrt7e289tprvP/++zz22GPU1tbuWP+H\nVE89FHn8j/9gUO1adIJAomULTz0I191yNdfeNItYLMG26kYknbTXZKnzczI49rprWPLq2wiKyrBj\nJjN6zDd1hQ6zf5FVUsTicIqseIohiTb8opGKqjqC4Rhupw2rxcT5v7iKB276Hc5YEFmQSOoM6DUV\nswiKBsPibazqTGPi6Ufw3N1/ZlioEcFfR3XQgqE4B7tBwpH3/SLQnnxuCXJSh07sbZ66u5LEEl8G\ntixYspFkyIVegm1VrTS3xZFMEZyOKKCxpS7OgCIvd//5DXpajGio5A8QWPXBPUiSREtbD4JqhO2v\ngF400dwa2NPLetDQL6dw8sknA/DEE0/w5JNP7vj9izT0L5Z/weGooP8dsqygdrShygpRWcFkMhBt\nakSWFVKyzN/uegD75s9QBZH3jpzADbf9dK90l8ceVcbYo8r2whkc5n/FGWcdzzN/eZyC9gCqqMNr\n0uGJ+YnFE7idNgBOO3kK5UuOo+2TT6huFchJBkgmUnTprHi0ECGbm7RRY0j3udEFmhBEqHPn0tgR\noKIdTjv7WGZfsZsiCt9CNJoiNzOD+sZOlIQJjCGOP27qjuWeNCuJVJgN2+oIBRRkMY6mSbS3ytgN\nXkRJ4Y7fzyXcnIOkWRCA+s09/Pb+F7j3los4alQJzzs2oEVNCIKAouth2qTe/W+oqOOlV1cBcO6Z\nYxk+pP8T5gc6/XIKe5qlfJh9h04nUe+PYSzfhE5ViBosbAha+NNVN9PQ7icr4SfPbQAU2tYtZ9my\ncUyfftRu93uYgw9RFDn62EmIbzejJmLEJR0ZAwoxfEVGXZIkfvZ/P+f5x5+nprKOleXbEPxdjIk1\nE0dijS6dh2+5mob6Zmo1iTcru8ltq2a4mmCboNHY2P69ZdmPmz6EdZ9147SWEE2E8OVYOPuUL9Vx\nZ04dwd33vUm404aaEhF0UZK6BkAkJgdxWc1E4hqaYvxS3U22UL65GYDsjDRu/9VxPPvSSjQNTjxu\nLKNHFFPb0M49f/oAYr3DSvds/YD77jnte53DgUy/7tr/Kkv5MP2nxx/CJSlU2rMxJOPUakbGtm1h\nmDMfZ2czK7pSNHXZMBv1DE23EQ6GfmiT91u6eoK0tHeTm+XbZ3pLPzQnX3gm8xrqKQi1EBAMOKfN\n2JEV/AUOmxnJYEBpaURtrCcu6FggeBmjdFEQbmfeM/O4/tdX8VbJKLyrniIvFSClaozu3sayd+fz\nnxGDufTys/pt2/jRg7j5F/D+onJMxnSuvGTajmTMYDhKU0snOek56BIS9fUB4nEjWsqNEneRsnQR\njfjQDBKYOiCZiappCLYOrrjw7B3HGD6kgPt+t3Mv4MOlG5EjTiCJIIgQdbFwWTmTxx44iZh7g+/l\nyjVNY/PmzfT09OB2uxk8ePBBryS5vxOMxMiUFCaWeJA1Dak+gH37OGw0HMUb6EEKd2JH5j11JI9N\nHrPT9pqmsaWqkWQiSenAfIyHQJz+rliwdAOPPbGKsF/C5ZX5xfXTGTPi4CvcfsQRxcz6029Z/1k5\nR2R4GT3yiG+s8/abixAXv4t1zSqmRfxUGL24U1FMkoDXqke/ahmr107h1LOO5413XkZN+TGRQhN6\nn6e3//lv6lZ8grOokFk3XNGnLPsvmDBmEBPG7Kybtfjjch791woiQYmtdXUMyCjD5YrR2gJGo4ii\nqqgpD4q9leKMIlK6Njrb6xEEmH35BE6b+d094zS3lS0Ny0hEDAiCiitNR0b6D6PU8EPSb6fwzDPP\ncM8999D5lcgCn8/H7bffzqWXXrpXjTtM38lOTyOSXUSycSOBpEp1VKVbMdLRHkPs8dNhdJKnhnFp\nMk41jv0rsdiapvHQ/Y+jfrIUSZF5s6SMG+78xSERs/9VNE3j2RdWIcS92E2ghOGJZ5Yz5s8Hn1MA\nyMrwkHXilG9d3lLXiEOOIyTiCJpGmhwlIeowKwlMTgcWZEKBEOPHH8m80ZPxf/gaDlVlgzmLpM7A\n9O5t5HTo0bpr+ffDeq795U++t62apvHkMytQIz7MEuR6Feq7K3Clu4nTQ0nuEWzdEkBVVTIyc8n3\nFZFdkslf7z2/z8dY+FE5/jY9csKAwSARM8UYUJgOWvx7230g0q/U05deeokbbriBIUOG8NBDD/Hy\nyy/z0EMPMWTIEG688Ubmzp27r+w8zG7Q63X87He/oGXssSz1w0lulbF2DbmthQ8NObjlCLIGH5ty\naA/Hefiuv7Fu3SYA1qzbgrByMYW6FHlGjQG163n1pXd+4DP636NpGsmv1R1KJfusLH/QUVQ6gOqY\nRkrViAh6Kg0ethg8hAQ9W5s6+USXTnFJIVaLidsf+B3h0y9hVeEYBpQWMViMollsGA16zJJArLVl\nj2yRZYVk4svRCI/Dx1Fjinjh6Ys54YQSRElDZ46jd3bjsrpo6tlKfr6tz/tfs6GKZcsaMOs8mE0G\nknKCWFjkwcfnk0rJe2T7gUa/ajTPnj2badOm8dxzz1FWVkZxcTFlZWWcf/75VFVV8eabb3LFFX1P\nVjlM3+hrXVuTyUBadibRZYvIdZpwuhwokRDxRIqCVIAoIqosM8IkM1iX4ONPN1I4biztLe2EVn6E\nRep96XQCBLOLGb0HOQd7qxbv3iYciXHfg28z9/W1bNhUw+gRhei3V3Tr6emhuSNAc2MSSdSRVKOM\nHZfGhDH7r2zyvrrOa9du4oNnXmT1tiYaFANNehvpcoSCVIAmg5MmwUq+Tmb5x2vJHlRCYWEOJ5w8\nDU9xEe2qntqeKGPSLSRTKRQE4iVDGTd57Pe2V5JEVm3YSkerhiRKJJUYY8elMXPaCI6dOpSSwRZm\nHldAUolQsbkVo+ChoyOOJkYpOyJ/t/t/9e3V1GxN4g+FiEZllJQBwRjEJProCDQzY8rO70IsnqC7\nJ4TJaDggZV2+i36dTWVlJeedd94ul5133nlUVlbuFaMO8/1Jc9mJWl07/k4oGt4ML9b0dLptXgYS\nIb+od+IsL9rB55+Vc+SoITRkDEDWNDRNo8LgZfJxB2ciz91zXmftCpm2WgufLE3wp7+/tdPy2248\njRNO8zBohMwZZ2dzw+y+y4gfLGiaxpuP/YeRgTqKpQRHRxtwqkmGxDvISQUZlOhCr8lYm6pxrfuY\n+2/5I6qq9s5LbdiEuK0co6bw7DY/C2p6eKUdxh2354mtv/vVmUw6xkLhEQlOPM3HdVceD/T2kl0W\nPWvefpfm5UvwGWWyfD4MWhpvv7d5l5Xbvk5pSSYuh53MbD2YO5BsHRTkZGEzOmlqiu607qLl5cy6\n9lkun/0SJ5wzh3lvrejTMQ4U+jWnYLPZaGratYxBU1MTNlvfu2uH2Td43A5GXXgen859DUMyRsvI\nIjJCHQwQ7HR3Joi1azvmCvyiiaG5mTjtVn56z6957bnXUFIpzjhpOoNLD74JNk3TaKiPoNueyaqX\nDNTV7Vwd0GDQc9Wlx/4Q5u03JJIpdNHe6DSPy0GoXoekqUioKIjIiHjlGG4lgNlqIdm0hdVrKkjE\n4ggfLWCgJFPV3cHxySZMeQX4fCKLXnydcWP3LJ/FbDJy0093zoVauGwjz7zwCcFV7zFBbae4PUSX\nUssGf5KSQWNQlb5VFZwxuYzyzU18/HGUDr8epzEbn9tFNBHEbvwycS6Vknni3yvpbrFQWdWJqtj4\nzV3z2Vbdwa+vO/WgCLjpl1M49thjufvuuykpKWHixIk7fv/000+59957OfbYQ/tl2l+YeeIUps6Y\nQCyexGm3sGLFOt557QPEEgNWo8TWrRVogkjWlCmMPHIwAOleF7Nv+PEPa/g+RhAELDaRYKi3kdA0\nDYv1sN7N1zEZDQhZuSSr2sjRybxp8iGrCs06OxZNpltnRhJU0DQSmojLZiEcjtDd3olLkNEAvSKj\nRyWZTCIIAuLXJ2v2Ak2tnTz8zxW0t0co7WilMRZFlDQccgw50EZtcyPnX1Tcp+EdVVURBAG73YDV\nodHV0UZDWz16k8JgJZtHn/mQqy6dQTSeIBkXaG7xg2JAEkBQDaxa2UH3JSE8bsduj7W/0y+ncNdd\nd7F69WpOOeUUsrOzycjIoK2tjebmZoqLi7nrrrv2lZ2H6SdGgx6jQY8sK3z8wTIyt32GTlPpHDCc\nK+bcg81mPiTVIG+4egZz/v4BkaCA3aVx4zUn/dAm7Zdcc+u1PP3Q06z76FOa9RFy4t1UGj0kRYmo\nqCdNkImajaRlptM9aDSjxwzD3xPkubfeYUiiA6x2OuM9FKc56VFEvIMH73Ubt1S2UFXbgb8LzCkb\nA+UgOkEjZdAhOHQUDFS48aoT+7SvZ15axuL3e+j0Rwg2pZNMpbCKmaDEiEd0vPNWLcdPb6MgNx1v\npoT2uQKIpLQoLrMeTRNQFHW3xzkQ6JdTyMjIYNmyZTz77LOsWLGCnp4e8vPzmTRpEhdeeGGfayMf\n5n/HipXrsa/7mEyDhqaBaesa5r+1kMuv/H4SBAc6ZUfk86+/X0YwHMVptx5WxvwWXE4brV0B9G2N\nuNUEpYlORE3DoCmssOWTGlxG2vFHI+n1XHvhaTsKPJ1883UsevU9CgcpxEUdXXqB9KJCzjr/5N0e\ns982uiwEAzJ6JYNqw2gCqgGTGKJDKiSJj2FDcvo8nLN1Wwd60UI82YyIBSWVQjYkSMpdNLarKKTv\nKL7z+zvO4urAkyxesgVR09MdMDF8tGOHHP2BTp+dQiqV4v3332fo0KHMnj2b2bNn70u7DrOXiEai\nmASVZEqhbms1QiLGuugrZGV6OeGUA6OG8t5Gr9cdFN38fUlzWxedixfiCXbQqeiQNI2EICGiYdYU\ndA1VjD/2Vo4cvnOC2YgRgxkxYu/3Cr5A0zT+9exC1m9oJSFHSXNbCHYm8YftdKagg+YAACAASURB\nVMrjwdSNPp6OPSZit/U9zyYjw8aWDWFc1jQalXpU9ETULoSYB00x0ikGaesIAr0OMyvdy8gBPrr9\nEUxGPcn4wVM2oM/RR3q9nssvv5z6+v7V8D3MD0dnd4BYLMFavY/6uias8RDrDD68qTDvPvEcgVDk\nhzbxMPsp1ZV1WBMRggkZtxInLkg41AQKIgY1hS/YxvJlq/u8P1lWdr9SH3j+1eW880YbHfU2/I1e\nUoKf/AI7eoOIaPJjNlhw2GyYTDJ1NfW0dfTsfqfA1T+eQfHQFE2ddegsUUxp3ZAyYrOJ2BwCRxSV\nsuLTKu7+82vcdMcLrNvQiN1mpjDPR2a6i1RCIJE8OBxDv4aPCgsLd8pkPsz+S01tM/+5aw4F/kYy\nFR0fGnNxu5z4wt0Utmylvr2F5595nauvPaxndZhvkl+YSzS7gIzuldjkOEtMOXiVCKKmMSbSRKvB\ngb4Pn5Q1NU0898C/EII9CJ50jjnnBPYk66NiUysGsVePShRFctxFDBstsrmhCTHgIBXVo5hXMMy/\nBe9SK/dvWcXkKy9j2LBBFOVnfOuks8lo4KofT2XThjjJhEZlQy2CAIm4Rm62Gb1e4ONVW0nTDUYS\nzfR0ywRTTZQU5qKoMrlZRkzG3kpwsqxQ39ROSlawWc1keF0H1DBlv5zC9ddfz5w5c5gyZQpe794p\n1HKYvY8sKzz3z+cY2FWDxWTApVfoNqSoDcnkxLoRJIEsk0LHmtWo6vkHXfLNYfac/Jx0pl5+MYv/\n1EZOoImiWA/tkhUDCuvNWcQlI2cM/6Ze0td57u//Ylhzea9EdbiZt56NM/6oUd/bLp/PSoUSRi/1\nNsBmu0pzWwCDkgM6EU3sYHhyM6NSTSSrdCjVbdxVESJ9yHGMGOXgntvO+dYG2mDQo9dDdX0Lungu\nBlMLmhqmuTPKsLEiWqsPSe5tMgdmDaYzsYXskhhpbiM3XP0jACLROLfc9RKrV/bQ1hnAmQYjR2Tz\nqxtPoKQg64BwDv1yCkuXLsXv9zNixAjGjBlDRkbGThM5giDwz3/+c68beZi+E40l+NudD1C1aAmW\n7ip0aR4KCnMJCjpIJRGScYKSgYwCL3GBgyrp5jB7l4suPIWs9DQWPDeP8sUrKYl1kpfyoyCw2lVM\nR+d310tRFAUh6N/RRkiCAME9K2Yz+9JjaGx6hbqaEDq9iiQlqNgQQVSc6CWFDFMzacE4SkpDh4xR\niKJE9Gzc1EAklMs749Zy2vFjqK5r5cHHFhKLKZQO8pCfm0ZVTTsxoQV/pBtBUbCa3GTn6pHFFv70\nf+dx7c3Pk9puviAIjD6ykDl37ayt9O8XllK/2UBHi4ikZtDZ1M3CtnbWrH2CsaPzuPeOM8nwuffo\nGuxr+uUUVqxYgU6nw+PxUFNTQ01NzU7LD4bEjQOdV158m6LK1Vi8JhrCTnK7Omj6f/buOz6KOv/j\n+Gtmtu+m7Kb3EBJ6EwWUohRBUEFs2FBPRbGXH9a78049VCycvZynnnqeXc6zixUVkCq9BUglpGez\nvc78/ojG4wAhkGQT/D4fDx4PszvlPYOZDzPf73y/iQ58IZn+2Uk0yT6ywi6KG30MuODYdpmBTThy\njT9xJONPHMmMyZeSvrqMsKxDURSGSi7qGn79Aq8oCnJSKhH3rpbZAFUNXXLKYeUxm4w8dPd5eH0B\nVFVj1jWvkelIxOUsRQkkEw6GaFQseCQD1miYSmM8dWoWWkRiV6WfnaU1hEJh7nnwY3x1DiRJ4pXv\nt6Mz+dA0hYYaI2Ypi5CmEtJVUlaajNFk5ba73+b8GUP55+urCXgVElNUrpl1Ck1ON3E2S+sdgMvl\nR9NktGjLtTDgA4tNRgsbad5t59FnP+f+O2cc1jnoaG0qCuvXr++oHEI78bncpCkSPWw69AU5rG9I\nIXvkZIpKtzHIV02pMZ9ST5hgTgEXXvbb7JYqHDxN01j0zXKC0ZaXuyzRIGsM6fjDJqLLV1M64Vjy\n8zL3u/5lt17FK4+9SNTZiDE9g+mnnrDfZdvCajERiUSRdRpWUxy9e+Sxu2E3LreN3kE7xYBb1VMs\n5xHUzFjlOFSdk7wcB7UNzTTXSxh+eoHR65IwAqFQEEVNIRT1IElRPK4oPTPspDis1JUZKSmv54Un\nL8Tp8uDzBfnLQx/jdoLFpnHm9IEs/mE7DU1evKoHg0lP0K8iGV3Isp14mwlZkvF62qfBvSO1qSgs\nXryYwYMH73M4C6/Xy5o1axg1alS7hRPabsQJI1i4bAm9Ik4yzTIN/fty7Y0X886r71H3zSfkWTXk\nuHjyzjxF3NkJB/T26x/S8J+3Sa8tY7MhCbdBzzG+XcgSWL79iJd1Enc+fvd+26VSkxO5+S//1/pz\ncXFxu2XT6RSmT+3Hm29uRpIN9OrlICvneDau8BD0VLKryYM7KOGIj2I1qqRl2Dn2mN7E2yyYbVGi\nHpAk0Iii18uEI+D1BQkpDUiaQlQzUt1cRrK9D4qsw+sNYjEbsZiNXH/Hq3hqHMiSRNmOXVx+7RtY\nyUenl0jJijBirJnyXY00NipYFCOZSbmEoj769O56g0T+rzYVhalTp/L5559z9NFH7/VdcXExU6dO\nFfMyx9jgwX0I3nANK774DhSFS2aeQWKCjcuuvoCFPfOo2FnOMUP6cdzIo2IdVegGSpYuow9BVkej\nxKtBXLKBSkM8YUlHXrMbrWQnLo8/ZjPUnTN9JMcNK6JydwO9e2Zi0Ou46Y+vUlOVw5ACHea4METM\nyAqce9ZQMlIdAMy+7Dief3kpoYBEr6MiyGE7zuYAdU0laEErWsSChIa3UaYqoZJCRwonT5zUul+v\nO9o6VEpJVSmqJw3FZkQNgbNGZsD0HF568kqanG4efXYhbneA3r1SmDWz5d2gN99bwvdLS5FljZnn\njGDYkMJYnL59alNR+LVGyWAwKJ5PdxHDhw9i+PBBe3wmSRInTT78kSqF3xbtp9/pNEc837mjDPRV\nkxNuRgJW2rJJ1FuIb8NLYh0hNyuF3KwUNE3j3r++R2ONDk2V6FkUx9w7zt7ndemEkf05/rh+BENh\nTEYDG7aUsX5zBfc/WkblNgVFaxmdQVWDyKZG7vz9+Qzo88sQ3Ll5caytDqFICqg6ZKXlsZAkQSQa\nISGhZZY5e2Icd9++55SkX3y7jjff2I5ea3kD+qFHvuHxhxyk/1SwYu2ARaGsrIzS0tLWn3/88Uc8\nHs8eywQCAV599VWys39bc5kKwpHu2NNOZvnz1RQlaywqd5EW9eCX9UiAORoisU9fKnfVsuTb5TiS\nHYyfcFxMul1+u3QTz/zja9atDJCfmYXNambLGi8ffdHS2+hnK1esZ+2q9WTn5zDppNGt7xZkpTt4\n+PHP0akJaEozkWA8er2MLV6lZ48UBvfbcz7n264/lcf+9imVuzzk+sw4G1S8zmbUqEZeQZiZZ+1/\n6PkVq0taCwJAwGVhw5bK7lMUXn/9dR544AEkSUKSJG699dY97hh+voXS6XQ8/PDDHRpWEITONXbc\nCPJ75rJ5QzHM+Qu4JSxqBAkNVVZQfV5e+cO99PLXUKHKPL5yLTf9/upOba/6cf1OHn/yB3ZXR/C7\nTGzz1TGgbwaKzkRVtbN1uU8/XsSWV14mN+KmQtLz3LYSZl/fMoXwy29+h7fOQVayibra7QR1dSQk\nmElPtVOQG0d1XRMmg55gKEySPR6T0cBt108DWiZuevy5z9hZVkdGho07rjsds8m437zZWXaWR6sw\nKC13WLIhSG5212lrOGBROP/88xk9ejSapjFt2jQefvhhevfuvccyRqORwsJC7Pau3f9WEIS2y8/N\nIC8nnWfnp7PQ7yMn5MQv62nWW0mPRinwVqNTJJJ1Gq61KyjbVUt+dlqn5fvqu83IYQd2m4EaUxlR\nv52mZi8pWRHGjR6Bzx+kpKKaT199l6x1q9gUCBDRZOqaonhnnY3VYiYUjiJJMhZDHKmpZip2uwlH\nZZyBXSxaquOb75+i2RkkPyeLnFwj9955OqnJLZNZ2axmfn/T9APmbHZ7qalzcsqJR7GjpI5NG+qR\nFY0zJveiV0FWR5+mg3bAopCbm0tubsuztA8++IDBgwcTFxfX4cEEQeg6JElixOhhNBevQI76QJVw\nZqdTurmYaG0Ffp2JgnQ7uvjOb19IS4knHK3CaoqjMD+TkuoSkvOSuPGqk7AnWLnmllepqZQIbdxE\nsseJKRrEoEXZUbKDF59+jetuvowzTz2GlSs+RPUl4fUHMKipRL0KFbV+ZKMLRRfGGM2gIhQlTp/I\nI88sbNP7BktWbOWJZ77D7dQRlxjlhmvGcMu1ueh1CgaDvgPPTtu1aXyD0aNHi4IgCL9RdpuJ444d\nzNCRw8jpmU+D003vyg3EuerJbShn865Gwv2HkpeV2qm5zpl+HL0Ga4SkRqobqzGbFQLN8bz13kqe\n/PvnbN3koaJ6N7Iqs0FJJIxEhSEBs0GPa/MGIpEoPfMzeOAv0xg6WsZs1mGQLYRDQNSESohISCIY\nChGJaIf0vsGL/1yC6k3BqrejepN54ZUlWC2mLlcQoI1FIRQKMW/ePIYNG0ZGRgYOh2OPP11hovaz\nzjoLu93O+++/H+sognBEGTzyGEplK8Vbd7KreCeN/igRZxO2gAddyE/E7+f0i87s9Pdf9Hod8+48\nh1mzBpCekkTvzCGYlASKN0Z477NV1FSCvyGJRjUJl2ymxpaKyWxiUIKCKutQlJbLYI/cNG67bhqZ\nmRY0TSaqRkGLQMSIhko4GsZgkAhFffRu4/sG/zvxXCjUdYeXaVOX1DvvvJPnn3+eE088kalTp2Iw\nGDoq1yF54oknUBRFvJQlCB1g5KihrFw9nu+WrCdFF0di2IuqqjSiYFNDuAMhLjjlMp546UFG/E+X\n6I4mSRKypGBU4vAEXGwvLyEcMOKPhtGHNQw6qJcHEzYEyLB6SJQDePN7cfS0Ka2dZZatLmZHaS0z\nzhjCvTu+IBL2gyyDv2XwTzmuFiXBT1q+kSsubNtoAL16J7JqcQCDzkQoEmBwr67b/tqmovD+++9z\nxx13cPPNN3dUnkO2evVq/va3v7Fo0SIKC7vOiyCCcCRZ/t1yjvZVodeiWKIhtpiSqdXZCEsKOcEm\ndM5d/N9F/8ez7zzLwAGd+3s4YmghrzpW8eOaGqKeVGQpjNUcT0SNEtRVEPGb8OhSqEJDS0ojt3AA\nk6acgKqqzLrpOVasqMWst5CdlcCsS4fx5FOL8TY4kA0yiiKhqomkWDOoKbXy0JMfcut1U9ld24jN\nYsKe2PJYPRAM8eZ7S3G5/Uw9aSj5OS2P0m67biovJn1DWYWT/NxkLj1/bKeem7ZoU1Hwer0MGzas\no7IcMrfbzeWXX87jjz/eJR5hCcKRSFVVAv4gu43x5ASaaFaM+CQ9RjVMWtRDrcFGUsTP6IYtvPL7\nufzu/j/Sv3/nFQaHPZ777jqNGRc/R1CDtNQkNNnC5rJNyP5M0NXR17uDgkY3liYJW6CBd9/sSUWz\nzKKFbrRgCvUhDzV15ejMIYYNLWTr1joaG4L41CqQo9S5NWzmvixfUc1VN79M/W4ZxRDltGm9OOe0\nY7nlz29QWWxCp+j57rv/MPfPp9CrIBO9Xsfsi0/stHNxONrUpjB58mSWLFnSUVkO2Zw5c5g4cSLj\nx4+PdRRBOCJpmsbTf32R/J1rqFGsfG3Lp8ToIDfsJDPsptiYREbYhQbo0DhKc/LVe592es687FSm\nTxtIjx52EuOtxJkT6NXLTt9e6ZiNEVIiQSRkQkGJXdt38+Lzn/PWgpVoUQMeb5BI0IjPC+vXVzN+\nXB7JKQZ86i7w28GVTWlpPV+v/JYlq9axcokXvZaIEkpmwYItLPh4Cds3RTDojMiSDP4U3n5veaef\ng8PVpjuFK664giuvvBJZlpk0adI+30vIz89vl2Bz585l/vz5+/1ekiQ++OADKioq2LBhA9988027\n7FcQhL3VN7oo/eRjcoNNJBNhlRpPRtiNCRWjGiBODVCli6dfsA4MRqKRSMuYDzEw56qTedbyJeXl\nTlJTrYwbcw7zHlqEvMtGuSGZAYEqImFoMNmQ9AU0V2mEpXo0zQESSEqQlIQ8autdFFfugFAcqCbQ\nBcGXBtYqQkGZssoaKusrsOodeP1eflizmYgnjrQkP/17Z6OhdcuhfySn03nQzeD/XQT215jbXgPi\nNTU10dDQ8KvLZGVlMWfOHN5888098kSjUWRZZvjw4XzyySf7Xb89R2wUhCNZo9PDi7PnMLipZQ6V\n5Wo8md56TGoEFdhkTqVUn8gxgd0kKRrVRUM4+w/X0yN//8Nqd6Y1G8t55h+L2bXDT3J0FyG/j7Aj\ni6yM4bg9Aao8W/DUx4POT3qajdT4dNxaGVu21qM154GmBzSw1IDOA750iBpBU1o+UwJIgRwUSwOE\nzfTISyIzP8It148mLTnhgPnaU1HR4Ux42sai8K9//euAPXvOP79z5/ytrq7G6XTu8dlxxx3H/fff\nz5QpU8jLy9vPmt1HcXHxYf9FdzaRuXN0VmZN07j83BvJW/0lCVqIT6MOEoJu8oJOfLKeLeYUUoIe\nNIsJo05H8uRpPPTEnTHLuy+apvHV9+tZ/uNOvvp6O4n6QkpKa/EEXRQO1LAnGKmtNKJXjOQVSSxf\nUcqOYj+q3wbqTw9VzNUgRSGQApoOJBXMtaBJKKFMdIoRg72WE07I4NF7LyLZ0bkFoT206fHRBRdc\nsN/votEoLpfrsAO1VXp6Ounp6Xt9npmZeUQUBEHoCiRJ4uG/38sd1+pZV1JGRl05W+Rk/JIOqxrm\nOE8ZW8xpmPRGxuTEs9vXhNcXIBKNEm+zdIlu4pIkMXRgD774ZjM2m4HVmxYjR+Nw2G2YgvlYTS4e\n/+sEVFWjMD+TkZPvRdZFUFXlpwIQBl0AiELUABKg6iFignAcUVMNSjQTm03HhTPGdMuCAAfR0Jyf\nn8+aNWtaf9Y0jXPPPXePkVOhZfTUnj17tnvAQ9EV/gcUhCNNYryNSVMnkJ+ZhKozoUejZ8hJj1AT\nW82pKLJEYX4GScl2imubeezqW3n26lt47P5niES6xoxj9zz8PtvX6TGE8jCQgEVOIT+tJ4qs0Fin\nkp2RQt+iXPR6HWdMG4SqqWB0gakBTE3gywLVDJY6sFS3fB500FIhJPSOCi675BgmjR0c60M9ZAcs\nCs3NzUSjv/yFqqrKZ599ttcjm66ksbGRadOmxTqGIBxRthaXU/LO24ymiRyrTC9/Damqj5Csx6ZF\n2G5OwWYx8S1J5Iea6e+voU+oAceqRbz37mexjs9Hn6/im0U72FFaRygcQa9XcDb72Lytii3Fu1El\nPxbzL6ObXnr+WEy2IERNELFAML6lPUH2g6a1tCcEHCBpSDqNBIeO3KQifL7gr6To+trUJVUQhN+u\nirJKHOGWuVTsKUmkGiQ2mdPx6IzkRVwcbYlgnXIa4393HrmWXy4tCTporKmLVWwAPv1qDS+8sIGg\nX6a5SWXztt3YjA6C+grcwTrq/MVs2VHJ8jUtnU8WLdnIpDMeIRwwgbkOFB+YG0COgLsHaAaQghBf\nBuYqNMmDpyaR4p11vPrGKuY//XFMj/dwiKIgCMJB6dOviGprMqFwBH9pKWu0OEIaFAQbUVWVLGcV\nmxZ+xTHHDGB3QnrrvCvlkpUBRw+Mafbvf9iBXkukICsffUIdIeoJyLsYUjgEnUHDHC7EU5XFnXd/\nwpKVW3j40W/x7E5FDRrBkwFhK4QtLb2O+Gnoi6gNVAAFgnaiUQ01ZMLVHOHzz3dSVfPrvSe7KlEU\nBEE4KNmZKYy7ZjYfNBvZJNlI1ms4dWa8kh4zGpaAl/qKXaQmJzJtzrXs7DWMHQVHUXTRxYwcNbRT\ns2qahsvja330bbHoiKpRrKY4BvUcxKD+mZw5bQjeoIeoNxFZklFkMKrpPPPiF2ze4P5pfRXQwNgM\ncrjlDzLIUVACEEhtebyk6UDVIWkGtJCJ7SW1NDS5O/WY28tB9T6qqqpqHT7i55O8e/duEhMTW5fZ\ntWtXB8QTBKErGXHsYL7uk4/ZHKK+2EljxIBLMWALe6jSWWgIRnF7/Qwc2IuBA2+JScaGJhfP3vsE\nutpdBMxxnHLZBVz1u/HcWvoONRUSemOUU08u5PwzR7F247OUl/nQpBDJSVZ0epmt22vQsKDXGVse\nH1l3gzu3paFZDiHrwhhsXgIRL/jTQPa09EqKmEHnQafo0WlmvL5ATI7/cB1UUbj44ov3+ux/u6dq\nmiZ6/QjCb4AuKYWsmmLK07KhqokGxUqtyUGiQaanVeHj977g3Jmx6+jx6tP/pE/ZWnSyBMEGPn7+\nVe546j6eenAmFVX1WCxGEuKsfPSfLxg/JAlP8WpSdlcRaDLitvcmM7EvZoJU1TTidzajRQ2gi0DE\nhmIM0neQnsfmXcENt79N5Q4NOdoDr66GsFSHPd5Bki2LtCyNjLSuMedyWx2wKDz11FOdkUMQhG7i\nkpsu4x/zVZKSaqhPD2Co3ImFKHFmA4PsBvzB2Pa+ibqaWwrCT8w+Fx6vH4vFxCtvLGZbsRNn8RJO\nNdayIwijaspIy83EYJCoMtax3JRHWmIuaYlZrNm+itpaP0TMSLJKvNXMscdkcvSgQs49cyivvbGW\nhoY6UkxRCnvmoESSUPQqU6YUdvpkQ+3loOZoFgRB+FmSPZ6b584BWuYdfvTWe+lfvx1FgvW2bC47\neWxM8yX2yMe9Yy1xCkQ1jWBKJgnxVp54fiHrV2r4AxoFu8uoVXxEExNIjPhxN7koKMzFGwxy9vSB\nfLWoDK83SiQaxqJLJBxXjxY1EpCaue7ymQBce9lJTBzbn/oGN/375BJvM1Pb0IzZZCAhzhrTc3A4\n2vRGsyAIwn9LiLNy7X2388HbHxONRLh0+klkZaTENNOFl83gn6pGcUkJsjWOK669GFmWqapyoVeM\n+JHRJJlIRKI2qBEMGciprWGnLOM6egwzTzqW884Yh6ZpHHX83WguBxajA5UwBlsEq9XUuq/ePbPp\n/V/v7KandN3Jcw6WKAqCIByWJHs8v7vi3FjHaKXX67j06r2H5MnLTWTb+iZsFgdb7f1IbV5Lb/cu\nGi0WquOzCOgMTDlpInFWM9AyMsLgwWl821CDGrWi6XwYzBoLPlpO/z5ZhMMaw4b0RFFkHnj8Q8pK\nXVisCjdcdSJFPTI6+7DbjSgKgiD8Jlx+4Xia3R+xbVsT9qwhmMOppGz4mgGOBPR6HUFVI+z37bHO\nw3efx1XuF6iujlJVHSTJksvjf91ERPcdhVlFpOX8QF6enbXLIugVO546jXsf+pjnH/8dOl33GzYb\nRFEQBKETVNU0EAiEiERjNwaSXq/jjhtOa/25eHs5r99Rgr+0mGhUoyIhlVNSU/foSZmSlMjcO07l\nb6+uoGJrIS63H58riqY3U7q7hB0VMt8v20r/3JYZKSVJwtMs09TsISWpew6IJ4qCIAgdRtM0Xv77\nm9R9/QX6cIjqlGzunP8nrBbTgVfuYBkZKaxWeuJHT6PbT50nhbUPLmXpygruvu1MJEnC7fVT1+jC\nYjYgSzJqtOUtbV+0EepzkSU9nqDMD55l5KZmkZ2ShyUuSkKcBWg5/s8XrWPN+nJ65Kdw1qkjunzX\nfVEUBEHoMMUlu2hc+DG9lCAoEF+2jndee5+LZ83YY7kflq5hxZffIen1nDbzDHI6oTvn5uJKwv4s\nnLpkmrQoeiS83mZ+XO5l1brtNDR6+ccrK2mqD5KQIhHSRzFbHChmN0pYRtEMeALNmHUJBINe6mpU\ndJaNPHXXhRgMegBeeetb/rOgHD3x/PDtTkrK6rj12qkdfmyHQxQFQRA6jLOxGWskAErLv45NMria\n95x3ZdXqjXz/+FMUqS5UTePFHTu54eE/kxh/eN06VVXF5w9itZj2+a/zxAQLiiFCVNUACY0oiiKD\nptDQ6OGlV1eh+VJorN1NeUmYiKWEFIebor5mqmp1yD6NaJMRRVIwJ5gZ1LMQR5abwf3zW/ex5IeW\nggCgl62s+bGOSCTapdsbxNhHgiB0mD59elCdXkD0p8HxdshxDB0zfI9lVn67nCK1pVDIkkRmXSkb\nNxzeVLnr1m5lzvnXccuks7lo8sWs3bhjr2UK8zMZNyEde2qYqK4efUID2ck5ONID9O2dTSQoU1vX\nTF1tCG/Ai6s6gbrSOEzRXNIdGeT1DhJUqvFShlGyEVVVTOY9L6n/O0WzJKsthacLE3cKgiB0mHib\nhUvuvIkHfv8wgaYmkgt7MHRo/z2WsSbE449qmH+6m/AqJhKTEve1uYOiqiovP/AEOau/xqqFidZo\n3H/17Tz7/j9ITLC1LidJEjddeTJnn1bP2o0lrPqxApNJz6UXTCbJHk9qhkLxFg8SOsK4UEgmEpYp\nKa/F4wuhmquIj7cQDuiob3IRUlbwp3uu2CPL2acfxVPPLCPssyDr/Uyf0le0KQiC8Nv26bufMdxb\nQaJZo2rLMl546p/MvuF3rd+fce6pPLp1O5btGwnr9DjGj6Nfr0OfStfnDxKorMCqhkCSUCSJeFcD\n69Zu4fjjj2ldrsnp5qkXvsTtDnHU4GzuvPn0PS7Y9/3pLC6r/zvr1zixGU14mzQi4RBNTQqKMYzq\nSSaEHslciyLZCbkszH/iCx697xzsiXEAjBs1gJ75aazfXE5hj3R698w65OPqLKIoCILQoRo2baSf\n0vL4KEFWKdu8eY/vLWYjt869mfJdtRiNBrLSkw5rf1aLiYAjjVDVRgyAD4Wo2Uai45e7j0gkyu33\nvENDRQKKbGTbphKiUZULzhrdukxCnJXXn7uWG//wAnXVOiprqvB6w/g8OtKTHdTtBp9PJRxVsGLH\nqIvgq3Pw8pvfcePsk1u3k5uVQm5WbN/ybgtRFARB6DDLl69j45ZSqv1NFCTHkSKBqjfstZxOp1CQ\n1z5vAUuSxJ+fmsvtl87BVLsb1Wpj2JnTGNj/l/Eoauqd1FVJ6OWWh/4GCS44QAAAIABJREFUycY3\n328mO8vOwL65OBLjaHK6efWdxdgTLNx09YnkZaWwdccu/nT3V+hVB1a9l00l21AiBhRDiB55qUiS\nTDgc5d0Pl/HF19uQJDjtlIGcNG5IuxxbZxBFQRCEDrF1WxlfPf40E40u6qur2OyOZ3vPImZecFaH\n7zs3K5VXPnqJ0soa9HoduZkpezwasllN6IwR+GnKg9KaHdRvcrP024XYHH4evm86f39pCd46B36f\nxI6dHzL/vjMZ0CePCy/sz0efbsaWCmecN4pvl+zAV5eEouiQrXX0KhzEyy9tQa8lEgqF+f2fP2PR\nks3cOHsKqcmH3lbSWURREAShQ6xYsorCYCP6xHga5CK0Rj/h9CyOGTagU/av0ykU5mfu87uEOCsz\nzhrAm29twO+D3XW14M1EUwz4XCZm3/hPCtMGYjIoSJJMxJXEvz9ayTWXTuL0k4dz+sm/9KA678zR\nvPbuYvz+EGecMp1/f7wSnRpPKBJh45bdRMJWFn1ZS3nZ2zw6bwbJjq79prMoCoIgdIj0rHRKNR31\nTj9NFRX0C7nwbw7z5EPPc/1tV8S8F85ZU49lwpj+rNm4k/Mu3knUq4EUwGBQkLwSITWIiZZ3JVRN\nxWjY97sFcVYzsy86sfXn9LQ4qhpK8DZLRMN60LmxWRz4GuP56PM1XHzOCZ1yfIeqa3eYFQSh2xo/\n4VgCI8axyRkiLeJDcqSQnWCiedUyynfVxjoeAPbEOL5fuhOdMQhyBAmZoOYkJc1Mfi/whdwEwj4c\n2W7OOX3kAbe3bWcVC97bhDfYTK2rEp9cQmq6jkRrMqoaxWLeuz2lqxFFQRCEDiHLMtfcPIs+x48i\nq19frAlx7NhaQuXmbbx4+z188dn3e63j9QX47LPvWfjZ9/gDnTODWyikMrDnIIxJu5HjqjDYvJw1\nfQiP3TuTm+YMptdRHhRjkPWbSw64rVdeX4zmTaVXVj+OHTSUOKsVl7+J1VvWUN60id6FXX9IbVEU\nBEHoMJIkMfnc6SysCVG6aSuNvhDVmBgQrOOHN9/d48Lv9vqZ//sH2P23x9n1t8eZ/4eH8Pk7vjCc\nMLoIs0VjeL8RDOzdk3Fjc7lu1mQMBj0PPvEBb75ax9svNXLajH9w9/y3fnVb0Sitj8V0ig6b2USC\nKZW81J4UJA1h/hNfEgyFO/yYDocoCoIgdCiP10fvJDNNienYjHrGBitZ0xDEFPLh9QVal1v40TcU\nVm7ErpeINjWhffkht19/DzV1TR2a78TjB3H11UMZeIzCiZPTeOrBizAa9DQ63axe2YAcTEXRbGju\nbF54admvbuvkSQOIKPVomkY4GsQY5ycnLZskRxyKouBqkqlvdP3qNmJNNDQLgtBhXB4f/379A5Iq\nSskijJkgBhT8kSiWjDwcP735CxCNRJGB+romvJXlWJEI7tzA3+6ezy0P34nZZOywnCceP4gTjx+0\nx2deXwBUHRotQ2cAqNH9N477A0E+/nwd/rCbJlclJ47rzTHGQaxaHEGntIyaaomL4ki07XcbXYG4\nUxAEoUNomsbT9z3FwOqNlGDB4HfjMlhZmdKHpHETufZPNyDLv1yCTpxyPFuSe9LkdCEDW22Z9Lcb\nSazaSfmuuk7Pn5OZQkJKmIjmQY1CVHFitIRxeXys3VTGky98xvufrWgtGE+/+AVb18rEyT3ITRzC\njmIvl180jqJBERRbPZbkBq6/8oQOLW7tQdwpCILQIXz+IFpFKVsag+jDQX7QpdJkSuTJfzxOn949\n9lreYY/n2vtu5883a1h2bOSEFDMWRSJgiCPhMIfRPlQ3XX0S9z64kEikHrstgb55I3noqffZtM6P\nHE4krNazbmMlf7hpOjU1XvTKLxd8v0fGFwgx70/noqrqHgWwK+seKQVB6HZMRj1VEQVjTSVHhes5\nUa1lVKSWDWs273edZEcC9z12JwnHjKBWtrBZ76DnadNIT7F3YvJfWExGBuYPYuxRYxlcdBSaprF2\n/S50EQeyJGNUbKxd3USz20duTgKhSEsbiaZpxNlVUn+akrO7FAQQdwqCIHQQRVHoM2oENT9+hw+F\niNFEbkYSTXUNv7peQpyV2+bdTlVtIzaLiSR7fCcl3tsZpw7n40/XEnQbQYPUPD8mYxo1/907VdKQ\nJJh98QQ8vo/ZXtyE0SRzzeWT9vuoSNM0PvpiNZu3VjGofw6Txg6O+ct8PxNFQRCEDnP2uafw12+/\nJbxpBQoqq5tVLh42+IDr6fU68jp4Ss76xmYeeWYhruYQBQV2rr1sEnr9npfEeJuF3980geIyN4oi\ncdK4IazdWMYjj39P1B+PKgUYc1w6CXEtj7duv37aQe37yRcW8vXCenRYWfrdesp3NXD5zAntfoyH\n4ogpCqtWrWLu3LmsWLECSZLo378/r7/+OnZ7bG47BUEAe4INl97MFi0RRYti0WQ2rdnI8BGDDrxy\nB9I0jT/e+28ayuORZRuVO91o2kL+76qT91q2qqaRW//8Hn6PjNH8Jn9/4iIemHsKS1duJyfLwZgR\nfdu87+XLd6GXWoYI1xPPDz9UcPnMdjm0w3ZEFIWVK1dy5plncuONNzJv3jz0ej2bNm1CpzsiDk8Q\nuq3q+iacW7cyMVSJDo1dzUZWfruM380+L6a5XB4fuyt9+CvXoYv6iViz2LEjf5/LXn3ru3h25SNL\nCl6nxqXXvEzlhkcpyEs/5P3L/zOMUjgSYf2WUtJT7KQkxXbAvCPiqvmHP/yBK664gptuuqn1s4KC\nghgmEgQBIBAIkRx00dLbH1IjXqrcnhinAoNOR7BsMUOqNqNoKi6DHWfWvgeq83sVZKnlKi5LEiG/\nHr8/iNl8aF1LJUli6sn9eO21zahBM95wPRG/h9tvW4QlIcJlvxvK5PFHHfKxHa7u0yS+H/X19Sxf\nvpzU1FSmTJlCUVERU6ZMYdGiRbGOJgi/ecn2eMw9euLSW/DIRlzmBPoPj90F72e76xrJ9ZSRFKwl\nPtiAw19Onm3fw08YzVFULQqAqmnoTeFDLgg/O2vqsdw/dxK/u7yA9GyFFFMfbKZE5GAy/3pzFZqm\nHdb2D0e3LwqlpaUAzJs3jwsvvJAFCxYwcuRIzjzzTDZu3BjbcILwG2dPjOO4iy7A2Wco/oK+NA0f\nx8yrLoh1LHbtqiWqQUinA0lFp4bZUly2z2UfmXsq1sxypPhyTKklPPXwOe2SoXfPLKZPGY7ZYN2j\n51EkLBGNqu2yj0PRZR8fzZ07l/nz5+/3e0mS+OCDD9DrW14fv+SSSzj//PMBGDhwIN999x3/+Mc/\nePjhh/e7jeLi4vYN3YG6U9aficydoytnDocjfPzeZzh3VBAFrLZ0Pvzgc/wuD4OO7k9aamw6gjid\nDdTrLGhKHHEEadRbiXPXs2zFj3sNQzGobz7vvXwpH325Hk2FzBRTu57zjAyZsuJa9LKVsBqkKC9K\nScnOQ95eUVHRYeXpskXhmmuu4dxzz/3VZbKzs6mpqQGgd+/ee3zXu3dvKioqfnX9wz15naW4uLjb\nZP2ZyNw5unrml19+D92aZUwI1oKmsWxFHRt2FTMsM56vV6/hnD/8H72K8jo9V0FBAe8+9S/6ecoI\n62UyjSpKahyJjhSKembvseyatRt4/O/LcdUkIEkS27av5JH7228GtT/f2pPXC5ewtbiWzIwULj1/\nLAaDvl22fSi6bFGw2+0H1Z00Ly+PjIyMvSr39u3bGTCgc6b9EwRh34o376BHoAFVAo8mU+itodTv\nwKxIDPTtZuG7n9Dr9is7PZeiKJw16zzWP11PatRPfGI8m1MLyc5I3mvZ75cX01RtxahruVD7Gu0s\n+HAFV/zXbGuHQ5ZlLjhrdLtsqz102aLQFtdddx3z5s2jf//+DBo0iAULFrBq1apfffwkCELHO/7E\nUbz23rsQ8GGKhKgxZZBv++9xjGLXoHrKaRMIhcMUL1vFopIGMtP7UVJey4A+uXsspyjyng2/moZO\nt++pOY8E3b6hGeCqq65izpw5/PGPf2TMmDF88sknvPPOO/Tr1y/W0QThN+3E8cOJZubSM+oiGz99\nJC+uQISQqrHBnMaE6SfFLJskSZx0yji2+DPwy2PYuTGOu+YuZMOW8j2WGz28iIweQQJhL8Gwj8QM\nF2dNGxGj1B3viLhTALj++uu5/vrrYx1DEIT/4vMHGZCTTKHjaEDD7/fjt+UTOXUSF40dQW7Oob8A\n1h5WrdtJbaUevRJClhV0oWQ+Wrhmj7sFk1HPI/eex+eL1hONqpx4wkDirOYYpu5YR0xREASh67Fa\nTIST0wk272bHpm14AmEq+6Zw75knYbWYDnm7wVAYl9uHPcF2WI9y9DoZb9X35HhrCMh6GpMHYDQO\n32s5s8nItJOOOeT9dCeiKAiC0GEkSWLWbVdz8eQLyQrJyIqJotK13Hbd3Tz5wv2HtM1VKzfw8XOv\nYPY48Selc8nt15J9iIPn7Vi/kXHRrYSCEQCqm9yMG3PRIW3rSCGKgiAIHUrVNIoizQzU+4hGIiiq\nju+3bT2kbWmaxkcv/IvBzS0vmqk1Tt545hVunnvzIW3P09jEkKJ0XB4/0ahKtsFE0Oc/pG0dKURR\nEAShQ1ktJvwGK/haevBENQ3VZDno9ZcvW8uXb7yHHAmT1L8/et8vYyfJkoTmPfSxlPoPG8yPKxaT\nZ2spOOXxuTF5b6IrEUVBEIQOlRBnZdglF7Ly+ReI8zRS5cjl6rvmHNS6dQ3NfPrkcziK1xIJhaj5\ncQUV2b0pVDUMsoQ7ComHMfjlmOOH4fNewpalK1AVHRdceAaJCbYDr3gEE0VBEIQOd+U1M6mYPoml\nK9cwaezIA154nc0enn/8JZZ9tRiptJgRoRpsZiM6l5OS7D7UDjuRUFMjiXl5XHzpWYeV7aQpx3PS\nlOMPaxtHElEUBEHoFDlZqQR8PQ5YEMLhCE/c9Vf0n/+HMb5mtvigRDJS4PERjU9ECge55tYrOin1\nb48oCoIgdCm7a5swVWxHCftRg0EcUZW15nRcqgmDOYXCwvxYRzyiiaIgCEKXEmc1ETbbQNFBJIxF\nktBkGZsMLrONMy8/v3XZjRu3s3rZGrJ75DB27PA9hqA+WG6vn+IdFSQmxFGQl9Geh9ItiaIgCEKX\nYk+Mo//00/jB6abeu4Z6vY34+Dh6Zubh69GfosKWt42/+XoZq/7+PPmRZoo1Pds3Tubyay9s075e\nfusLnv3jIxT5alDsCYy7YTYXzZpxWPmXrtzG9z9sJSvTzoxpx3W7cZJEURAEocs57cyTGD3+ON58\n4xN2fPQ+vrpG1jarnDL62NZlVn32FYVRF0gSaVKEjSuW4fPPwHKQs6JtL63ivjueY1xjHQoytRE3\n7zzwBKXrNjD+7GmMHtP2N5g//mI1zz+/Dp2ayBK1ki3b/s3dt515SHcwsXJEDIgnCMKRJ8kez5Qp\nY9AbTBxlDnNSYpStn31OTV3TftaQaMu1d8HHS5FDehTAqSgkql6OaiqhqHQdS/72PNt3VrY58+df\nb0Wv2ZEkCYNiZvMGF87m2M9J3RbiTkEQhC7r+6+WMExxo0tLAqBncyUL3voYnRrFb7SyQUmkZ6iJ\nBslI1qjRmE0HP3dyUUEGTXIi5YZ4ZMlPr4ATt8lEU0MTNn+QDWs2UViQfeAN/RdZltA07Zc7A0lF\np+9el9nulVYQhN+U+MQEmlWJSJOTYCBIo2Ki6pOFTLT4iVNhTUovpDGncnRBLiNGDGrTtk+fPJJH\nBi1kxXqNOOpIkJoZaA4h1eyiRBdP04Zipp8xqU3bvODs4cyb/xVBtxWUIL2LzNw7/0MkCc45YxhD\n+ue3aXuxIIqCIAhd1uRTTmDWS2+TWb4VGYnVRiPnGOqQrHGYFcis2cng4bPpU5hzSNv/9oO7WLFm\nKzUNTt6Y/zcqKrahShI2RyJa6XYikehBbysQDPHDyu3k9bBgtSocNagfr766HjlkQ9M07tv+BQ/d\nO4287EMbvK+ziKIgCEKX5fUH6R8nEd+nCEWW8Nd6aaqtJckRB0BE0WM4zMczw4a0zO+++ZOF9LB6\nkACdLLEB9pxx7Vdomsbv575N6WYDesWKJ1zDN4s/JViXQWZGFJ2iEPYmsGjJFi6a0bWLgmhoFgSh\nS5MliSyzTLpRYnCahTVxOTSENCoiOkzHHk+P3PaZqOeoSeMp18WjAlWageyRx6E/yILT6HRTvjOI\nXjEQDPsp3llNWTFU13rYuHkX0WgUlSCZ6YntkrUjiTsFQRC6LHuCjbijR1Cz+HMSpQg11mQuvf5S\nZBniEuM5alCvduvueeKkUaRnprJu9UYGFuQwatTQg17XaNAj61SIQHXjbqKeZGw2UBKacTZq7HaW\nMXlKPhPGDGyXrB1JFAVBELosSZK48sbf8c2Q/tRUVXPWsUdR2PPQ2g8OxoABRQwYUNTm9WxWM6ee\n0osFC4oJRQNIesjLycRizsSV1Mj5FxZw4dkndIv3FURREAShS5MkiXHj9p4i0+nyUlpWRWqqg8yf\nuqzG0kUzjmfsqL7sLK/mhZeX4q7VCEb8FPRRmHHayG5REEAUBUEQuqEtW0t4+8EnSKqvxG21M+Cc\nGZxy2oRYxyI3K4XcrBSOHlTIF4vWoSgKk8YOwmQ0xDraQRNFQRCEbueDV95hoLsS1QgmfxPfv/M+\nE6ccj8Ggj3U0AOKsZk4/eUSsYxwS0ftIEIRuR4mECarwWUkzxVt20LD2R9549T+xjnVEEEVBEIRu\nJ2/oYL6qCdHfWUpOuJk+SoCazz6hfFddrKN1e6IoCILQLTQ0uVi9bhs1dU2cMeNk4vv1R0uw06Sz\nogYD1G3YwPffrTzk7T/45L/J6ncT6UU302/kLTQ63e2YvvsQbQqCIHR5K5av59Mnn8PUUI03PonB\nM87ClpLMNr9Mtt+DVS/hikti24cf0nDSKJLs8W3aflllDQ8/9j2qMx9Zkqh1BZl8zgMs/2xuux/L\njtIq5s7/EJ8HkpJN3HHjyeRkJbf7fg6VKAqCIHR5bz77Cp51G5C8LnarlXy/egvHm/zoZB2blEQC\nVjsn59vxueuorKprc1FYvWEHUb8N5aduo7JmpL422O7H8eW367npjrdwVadgMEgU9LAxd/6H/O2v\nv2v3fR0q8fhIEIQur2pLMf3dFeS6qxnr3oEp6CPF20B61McI2UW6LorDINOckEpmetv/1T10QE8U\n0y/zHqgEsTvatyeTpmm8/NpyQj4TetmIN9jMym3L+HjhWi6/4UW2l+xu1/0dKlEUBEHo0jRNI95s\nJKhK6NQokgZ6NGRJwmw2ELWn0mBKYENKEWOvuISUpIQ27yMvO41rZo9AcZQgxZeT1KOaT9++rV2P\nIxpViYTBYJTxa7X4AgGijfkEGzNZvrya+//68UEPw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "banknotes.scatter('WaveletSkew', 'Entropy', c=banknotes.column('Class'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multiple attributes" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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I1x2Zr+qIcv/FJ103QTFT8mJA7wchFwGEkYTDYQKBQNwgwUSVBPWaNNM5R0VR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\nvvn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.figure(figsize=(8,8)).add_subplot(111, projection='3d')\n", "ax.scatter(banknotes.column('WaveletSkew'), \n", " banknotes.column('WaveletVar'), \n", " banknotes.column('WaveletCurt'), \n", " c=banknotes.column('Class'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Accuracy\n", "\n", "How would you summarize the accuracy of a classifier for a dataset?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Breast cancer diagnosis\n", "\n", "Brittany Wenger won the Google national science fair three years ago as a 17-year old high school student. Here's Brittany:\n", "\n", "![Brittany Wenger](http://i.huffpost.com/gen/701499/thumbs/o-GSF83-570.jpg?3)\n", "\n", "Brittany's science fair project was to build a classification algorithm to diagnose breast cancer. She won grand prize for building an algorithm whose accuracy was almost 99%. \n", "\n", "Let's see how well we can do, with the ideas we've learned in this course.\n", "\n", "So, let me tell you a little bit about the data set. Basically, if a woman has a lump in her breast, the doctors may want to take a biopsy to see if it is cancerous. There are several different procedures for doing that. Brittany focused on fine needle aspiration (FNA), because it is less invasive than the alternatives. The doctor gets a sample of the mass, puts it under a microscope, takes a picture, and a trained lab tech analyzes the picture to determine whether it is cancer or not. We get a picture like one of the following:\n", "\n", "![benign](https://lh5.googleusercontent.com/sYFBBiw6XB2uEkQBTLCDqQvfi1vzId7q-EFvGIkeEqgaq-c7Q7HEaT5tdUIM8rU7l5-a9E_8gZzqDhnFEu7xV8MnXAeez41Ckq9DN0wO_S8nEY0rqek)\n", "\n", "![cancer](https://lh5.googleusercontent.com/OpQSE0LmsWmYTahY3XAwb0RTPUluMhwT_FEbKhF7OU27iVxHk6on9VTruCW2loeks6HICe3Chjg4zXZxp9ko0rQhC3X_QeThTZFyaQc87RTZaGzoc7Y)\n", "\n", "Unfortunately, distinguishing between benign vs malignant can be tricky. So, researchers have studied using machine learning to help with this task. The idea is that we'll ask the lab tech to analyze the image and compute various attributes: things like the typical size of a cell, how much variation there is among the cell sizes, and so on. Then, we'll try to use this information to predict (classify) whether the sample is malignant or not. We have a training set of past samples from women where the correct diagnosis is known, and we'll hope that our machine learning algorithm can use those to learn how to predict the diagnosis for future samples.\n", "\n", "We end up with the following data set. For the \"Class\" column, 1 means malignant (cancer); 0 means benign (not cancer)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Clump Thickness Uniformity of Cell Size Uniformity of Cell Shape Marginal Adhesion Single Epithelial Cell Size Bare Nuclei Bland Chromatin Normal Nucleoli Mitoses Class
5 1 1 1 2 1 3 1 1 0
5 4 4 5 7 10 3 2 1 0
3 1 1 1 2 2 3 1 1 0
6 8 8 1 3 4 3 7 1 0
4 1 1 3 2 1 3 1 1 0
8 10 10 8 7 10 9 7 1 1
1 1 1 1 2 10 3 1 1 0
2 1 2 1 2 1 3 1 1 0
2 1 1 1 2 1 1 1 5 0
4 2 1 1 2 1 2 1 1 0
\n", "

... (673 rows omitted)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "patients.scatter('Bland Chromatin', 'Single Epithelial Cell Size', c=patients['Class'])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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FRBlLaW+toEhyR62CInN9t5uPuZqiguImnX33HzGEjYf2E1ySQ2FWLlm+Ueg+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def randomize_column(a):\n", " return a + np.random.normal(0.0, 0.09, size=len(a))\n", "Table().with_columns([\n", " 'Bland Chromatin (jittered)', \n", " randomize_column(patients.column('Bland Chromatin')),\n", " 'Single Epithelial Cell Size (jittered)', \n", " randomize_column(patients.column('Single Epithelial Cell Size')),\n", " ]).scatter(0, 1, c=patients.column('Class'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Applying the k-nearest neighbor classifier to breast cancer diagnosis\n", "\n", "The first thing we need is a way to compute the distance between two points. How do we do this? In 2-dimensional space, it's pretty easy. If we have a point at coordinates $(x_0,y_0)$ and another at $(x_1,y_1)$, the distance between them is\n", "\n", "$$D = \\sqrt{(x_0-x_1)^2 + (y_0-y_1)^2}.$$\n", "\n", "In 3-dimensional space, the formula is\n", "\n", "$$D = \\sqrt{x_0-x_1)^2 + (y_0-y_1)^2 + (z_0-z_1)^2}.$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def distance(pt1, pt2):\n", " total = 0\n", " for i in np.arange(len(pt1)):\n", " total = total + (pt1.item(i) - pt2.item(i))**2\n", " return math.sqrt(total)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Implementing a Classifier" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def closest(training, p, k):\n", " ...\n", "\n", "def majority(topkclasses):\n", " ...\n", "\n", "def classify(training, p, k):\n", " kclosest = closest(training, p, k)\n", " kclosest.classes = kclosest.select('Class')\n", " return majority(kclosest)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def computetablewithdists(training, p):\n", " dists = np.zeros(training.num_rows)\n", " attributes = training.drop('Class')\n", " for i in np.arange(training.num_rows):\n", " dists[i] = distance(attributes.row(i), p)\n", " return training.with_column('Distance', dists)\n", "\n", "def closest(training, p, k):\n", " withdists = computetablewithdists(training, p)\n", " sortedbydist = withdists.sort('Distance')\n", " topk = sortedbydist.take(np.arange(k))\n", " return topk\n", "\n", "def majority(topkclasses):\n", " if topkclasses.where('Class', 1).num_rows > topkclasses.where('Class', 0).num_rows:\n", " return 1\n", " else:\n", " return 0\n", "\n", "def classify(training, p, k):\n", " closestk = closest(training, p, k)\n", " topkclasses = closestk.select('Class')\n", " return majority(topkclasses)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Clump Thickness Uniformity of Cell Size Uniformity of Cell Shape Marginal Adhesion Single Epithelial Cell Size Bare Nuclei Bland Chromatin Normal Nucleoli Mitoses Class
5 3 3 3 2 3 4 4 1 1
" ], "text/plain": [ "Clump Thickness | Uniformity of Cell Size | Uniformity of Cell Shape | Marginal Adhesion | Single Epithelial Cell Size | Bare Nuclei | Bland Chromatin | Normal Nucleoli | Mitoses | Class\n", "5 | 3 | 3 | 3 | 2 | 3 | 4 | 4 | 1 | 1" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "patients.take(12)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "example = patients.drop('Class').row(12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take $k=5$. We can find the 5 nearest neighbors:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Clump Thickness Uniformity of Cell Size Uniformity of Cell Shape Marginal Adhesion Single Epithelial Cell Size Bare Nuclei Bland Chromatin Normal Nucleoli Mitoses Class Distance
5 3 3 4 2 4 3 4 1 1 1.73205
5 1 3 3 2 2 2 3 1 0 3.16228
5 2 2 2 2 2 3 2 2 0 3.16228
5 3 3 1 3 3 3 3 3 1 3.31662
4 3 3 1 2 1 3 3 1 0 3.31662
" ], "text/plain": [ "Clump Thickness | Uniformity of Cell Size | Uniformity of Cell Shape | Marginal Adhesion | Single Epithelial Cell Size | Bare Nuclei | Bland Chromatin | Normal Nucleoli | Mitoses | Class | Distance\n", "5 | 3 | 3 | 4 | 2 | 4 | 3 | 4 | 1 | 1 | 1.73205\n", "5 | 1 | 3 | 3 | 2 | 2 | 2 | 3 | 1 | 0 | 3.16228\n", "5 | 2 | 2 | 2 | 2 | 2 | 3 | 2 | 2 | 0 | 3.16228\n", "5 | 3 | 3 | 1 | 3 | 3 | 3 | 3 | 3 | 1 | 3.31662\n", "4 | 3 | 3 | 1 | 2 | 1 | 3 | 3 | 1 | 0 | 3.31662" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "closest(patients.exclude(12), example, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3 out of the 5 nearest neighbors have class 0, so the majority is 0 (no cancer) -- and that is the output of our classifier for this patient:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "classify(patients.exclude(12), example, 5)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "patients = patients.sample(683) # Randomly permute the rows\n", "trainset = patients.take(range(342))\n", "testset = patients.take(range(342, 683))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def evaluate_accuracy(training, test, k):\n", " testattrs = test.drop('Class')\n", " numcorrect = 0\n", " for i in range(test.num_rows):\n", " # Run the classifier on the ith patient in the test set\n", " c = classify(training, testattrs.rows[i], k)\n", " # Was the classifier's prediction correct?\n", " if c == test.column('Class').item(i):\n", " numcorrect = numcorrect + 1\n", " return numcorrect / test.num_rows" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.9706744868035191" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "evaluate_accuracy(trainset, testset, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a footnote, you might have noticed that Brittany Wenger did even better. What techniques did she use? One key innovation is that she incorporated a confidence score into her results: her algorithm had a way to determine when it was not able to make a confident prediction, and for those patients, it didn't even try to predict their diagnosis. Her algorithm was 99% accurate on the patients where it made a prediction -- so that extension seemed to help quite a bit." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }