{ "metadata": { "name": "clustering_example" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Clustering example" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd\n", "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we'll run some example of clustering using Samsung smartphone accelerometer data to classify some basic human activities. First we'll get the data from the Course's Dropbox folder. We'll use `rpy2` to read the .rda file format." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%load_ext rmagic" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "download.file(\"https://dl.dropbox.com/u/7710864/courseraPublic/samsungData.rda\",destfile=\"../data/samsungData.rda\",method=\"curl\")\n", "load(\"../data/samsungData.rda\")\n", "write.csv(samsungData,file=\"../data/samsungData.csv\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "samsungData = pd.read_csv('../data/samsungData.csv')\n", "samsungData = samsungData.drop(['Unnamed: 0'], axis=1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "A quick look on the column names and the type of activities in the data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "samsungData.columns[:12]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 4, "text": [ "Index([tBodyAcc-mean()-X, tBodyAcc-mean()-Y, tBodyAcc-mean()-Z, tBodyAcc-std()-X, tBodyAcc-std()-Y, tBodyAcc-std()-Z, tBodyAcc-mad()-X, tBodyAcc-mad()-Y, tBodyAcc-mad()-Z, tBodyAcc-max()-X, tBodyAcc-max()-Y, tBodyAcc-max()-Z], dtype=object)" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "samsungData['activity'].value_counts()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 14, "text": [ "laying 1407\n", "standing 1374\n", "sitting 1286\n", "walk 1226\n", "walkup 1073\n", "walkdown 986" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The scatter plots below show the first and second variable/feature vectors for subject number 1, colour coded by activity. We see that almost all activities have the first and second variable values around zero, except for LAYING, which is spread throughout the y-axis. \n", "\n", "The conclusion from these plots is that we can't really classify the activities based on the two variables, since their values are very close to each other." ] }, { "cell_type": "code", "collapsed": false, "input": [ "subj1 = samsungData[samsungData['subject'] == 1]\n", "\n", "numericActivity = subj1.groupby('activity')\n", "\n", "cols = {'laying' : 'b',\n", " 'sitting' : 'g',\n", " 'standing' : 'r',\n", " 'walk' : 'c',\n", " 'walkdown' : 'm',\n", " 'walkup' : 'y'}\n", "\n", "f, (ax1, ax2) = subplots(ncols=2)\n", "f.set_size_inches(10, 5)\n", "\n", "for act, df in numericActivity:\n", " ax1.scatter(df.index, df.ix[:,0], c=cols[act], label=act)\n", " ax2.scatter(df.index, df.ix[:,1], c=cols[act], label=act)\n", "\n", "ax1.set_ylabel(samsungData.columns[0])\n", "ax2.set_ylabel(samsungData.columns[1])\n", "ax2.legend(loc='lower right')\n", "\n", "f.tight_layout();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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GJycNiYmJmEyme27unLdkHuF5w2lraktbfVvqdahHq1at0iUORVEUJXNTd7co\nD9i1axdfrVqF5fPP7RnK77/T9q23iLtxA29vb5KjoyEmxp783r5N8uXLD9yM9/2qVdRs0IC4JUtI\nvnkTo5sbcuIEkpSEv4sLLVq14uj69SSIgEYDp06RLXv2p4ozJSWFxMREXF1dH9kmX758LFmyivbt\nm2GxJAApNGhgJjk5GWdn5yc+VlRUFKvXrOFSUhKuQIfERMqcP8+uXbvuqe99lDNnzlC9en3i4ycD\nRZk/fyTR0b1YuvSLJ44BwGK5Ddx9r0WyEhd3gsTERLQm093MUq9Hq9eTlJREXFwcWr0e7tQaOzmh\nzZGDmJgYXq1QgUVjxhBfrx6YzTiHhVG+bNnHxjF32jSq16uHHDmCJjqaHBYLffr0eaq+PErlypXp\n0UPHmjUaihcXVq/WU65caTz/thBNSkoK69evJyYmhtXrVqPVajGbzQ+9KVRRFEVR/pVnLthwsJeg\nCxnOsmXLxK1mTSE0VChcWNBqBb1elixZIiIi733wgbgGBIi+eXNxzZdPOnbv/tD9JCUlyZkzZ+Tm\nzZsSFxcnGzdulM2bN0tCQoLEx8dLkdKlxVy6tLjWqyeuXl6yc+fOJ45x0oRJYnA2iIuTi1QpV0Wu\nX7/+yLb9+vWUWrUM8tNPyPr1SPnyRhk/ftwj2z/M5cuXxcvFRZLtk0yLgFR2d5cNGzY80fYzZ84U\ng6GL3N08UvR617TXU1JSZOHChTJ8xHD5+uuvxWazPXQ/EyZMFpOplMAugR/EZMohmzdvlri4OPEL\nChJdp07C7Nmib9RIXgkJEavVKjabTQqXKiW6N98Uvv1WGDlS3LJmlUuXLonNZpO+AweKk8EgLu7u\nUrpSJTl79qwsXrxY5s+fL5cvX35kn86fPy9ffvmlhIaGSnx8/CPb7N69W6Kjo5/ofbrj2LFjUrNm\nRSlQwF/efLPVPdsnJiZKtQrVpKi5qNQ01xQvVy/ZsWPHU+3/v5bZxqXM1l9FUTK+9BiXXviRTQ3O\n6e/YsWNi9PYWgoKEzp3tN9z16iVORqN89NFHkpycLJs2bZKpU6fKd999d09Cl5SUJEOGD5fgsmWl\nRoMGEh4e/tBjRERESM0GDcTTx0cKFi0q27dvf+L41q1bJ/4mf1nBCtnEJmnh3EIa1238yPaVKpWU\nKVPsN+5t3YqMGIE0a1bvyd8QsS9uUadSJXnTxUV2gIzU6SRvjhxy69atJ9p+3rx5YjI1+1uSfFJc\nXb3T9t0davftAAAgAElEQVSoeSNxzesqVENcA1ylR58ej4zjo48+lqCgUhIcXEG++eabtNf++usv\nadC8ueQrUULe6NjxnsQyIiJCXq1dW0yenpKvWDHZs2fPPfu9deuWXLt2Ta5cuSK+gYFiDAkR15o1\nxSN7djl+/PhTvVd3jBs3SrJkMUiRIh7i7e0mP//887/az/3mzZsn5UzlZDObZStbZSxjpUhQkXTZ\nd3rJbONSZuuvoigZX3qMS+rGvQzo6NGjzJ4zm5SUFDq91YkKFSqk276Tk5OZMmU6e/b8SpEieRk2\nbPBDyxXmfv453Xv2hJ9+gtBQ+OEHKFgQzbFjZDMa+W7FCsqVK/fAdh27dWPlkSNY3ngDzdmzmJcu\n5cjevQQEBBAbG8vU6dO5dPUq6zZuJKpKFVJq1ED3yy/4bt3KgZ078fLyQq/X/2MfRn4wknNjz9GR\njgBc5zq9PXpzNebqQ9t36NAKm201XbqkIAJTpugpVKgHkydPf6r37tatW7zXvz8Hd+0iT/78TJw1\ni4CAgCfaNiYmhiJFynL9ek2Sk4tiMn3CqFHdGTRoAIcPH6ZyvcrEvxNvL4BKAJeZLpz/8/xzn5u1\nRt26bHVxgQEDANB8/TW1Ll5kY9jTLcl74MABGjasyuzZFry8YP9+mDIlC5cvRz122r7HGT16NKdH\nn6azdAbgBjfoau5K1K2Ms7z4yzgu/ZPM1t/0cOHCBWbMmE1MTBxt2jShVq1ajg5JUV4q6sa9F4SI\nEBsbi81me2zb8PBwyr9anjlH5zDvz3nUfK0mWx8z08DTxNGiRQfGjPmJsLDaTJlyksqV65GSkvJA\n265dumAwmex3uy1aBO3bQ3g40q4d1+rVo2qdOhw+fPiB/S9bvBjLsGFQogTSsCEWNzfyFyyIwdWV\nXAUKMCk8nIVxcVyNiyOlY0cIDMT62mvEXIwkKCAIs8lMSOkQhg0ZxvXrD1/gwy+nHydNJ7Fhfz+P\ncYzs2bLz5pstyZrVjXz5cqbdaAgwYcJ09u71pX9/d3r3diMiIoj33x/91O+fm5sbs774gt3HjrEs\nLOyRCfLNmzeJjIy85x+np6cnv/66m4EDs/LWW0dZtGg8gwbZE9HY2FicPJzu3iHgAk6uTsTGxj50\n/ykpKUyZMo1WrToyatQ4bt++/dR9eZjTp0/z8549EByc9pwUKEDE5ctPva8TJ05QtKgOLy9ISbGX\nsN+4cZPNmzc/c5yVKlViq3ErV7iCFSuhzqGEVAh55v0qyvNy8eJFSpSowPTpKXz5ZV4aN36bZctC\nHR2Woij3e+Zr0Q6W0bvwxx9/SHDu3GJ0chJPk0lWff31P7Zv91Y7oTbCqNSfZsirNV9Nl1giIiLE\nxcVL4HbqV/5WMZuLyC+//PLQ9osXLxajl5dgMAivvCKMGWOf93jrVqFbN3mzS5d72lssFtG6uNhr\nmbdutZdqFCsm/PCD0Lu3UKGC/fllywRPT2HdOmHrVjGUqCDNaS696CV++Ekf+kgjXSMJzBEoN27c\neCCuhIQEqVKuir0m1a2meJu9pW7dqlKrlot8/TUybRri7W2SAwcOyKVLl2T27Nkybdo0CQ0NTauJ\n/i+kpKRIh04dxNngLHpXvVSuWVliY2Mfu11MTIx4+3qLpqFGGIDoaukkMH9g2lzGf2ez2aRJk7Zi\nMtUUmCcGQ3MpV666pKSk3NMuNjZWVqxYIcuWLZPIyMhHHvubb76Rpm+8IW+/847MmTNHDHnzCgUK\nCN98Yz9vJUtKlx720o8lS5ZIzgIFxMPfX+o0bCjXrl175H4PHjwoPj4mCQ1FypRBihZFGjdGsmUz\nyvz5Xz72PXmcaVOmicHZIHqdXiqXrfyPsThCRh+X0ltm6++z+uCDUaLT9f5b+dVWCQws7uiwFOWl\nkh7j0gs/smXkwdlms0nh3LlltkYjNpBDINlMJjl58uQjt2nSqonQCOEDhP4IrZAylcqkSzznzp0T\no9FXICVtcHZ3L/uPtaKHDx8Wv7x5BX9/YcKEu0ly377S5q23RMReh3zs2DEZOHiwOOXJY69lHjRI\nyJVL+PBDe8JVsqRQr5592y1bhGrVhPz5hR49RK81yDd8I1nIIgtZmLYwRA1jDfnss4cv9JGUlCTf\nf/+9LF26VP766y/x9DTJ7NlIxYpIYCCSN69GevXqJT4+nvLaa0apV88oPj6e9yy+kd4+mfmJmPKa\nhPfs58/lFRfp2LXjE2179OhRKVG2hLh7u0tItRA5f/78I9s5OXkKWFLPYYqYzYXuqTG+evWq+OfL\nJ+YKFcRcpYpkzZlTzpw5c89+Vq5cKUVKlxZd1qzCoEGi7dRJTJ6e4pIli9C0qaDXC05OojOb5ebN\nm7J8+XLRursLFSvaz2njxuIbGPjIG/ZERD7+eLyYTM4SFIRs2mSvB1+wADGbDTJgQF95++228vVj\nPjT+kzuLpWREGXlc+i9ktv4+q0GDhgqM/FuS/Jv4+uZ3dFiK8lJJj3FJTQH3DGw2G4sXL+b4778T\nXKwY7du3R6u9W8Fy8+ZNLly6RM/Ur91LAVV1Og4ePEj+/Pnv2VdSUhJ//vknzV5vxvq+60nYlgBW\nIAECWwSmS7y5cuWiaNFChId3JTGxI05O6/D0vEWZMmUeuU3JkiU5uHMnVevU4eSkSTBwINy+jWnZ\nMrqvWsX58+epUqcONxISsERHY+veHXQ6OHTIvoPDh2H2bChWDHbutC8okisXunPn0EVFYVyzBoPZ\ng99ifyOJJNy4uziHm9WNhISEh8bl7OxMgwYN0h6bzSZGjrTQvDl07gxhYcLy5V/StGkS7drZyzKW\nLElk9OhhLFq04qH7DF22jIkjRpCQmEi7zp0ZPmrUPefzcbbv2o6liAVc7I8TSyWya9+uJ9o2ODiY\nI/uO/GObW7duUbduE1JSnAENsAq4CTjfM1/zyHHjuFqyJMm9egFwe+lS+g0dStgKe7+/+uoreg4f\njsVmgw8+gGLFsAEJcXFUj43ll23bcMqTh+SICMaPGYObmxvjP/kEW3IyjBoFej1UrEhk9+7s3Lnz\ngSXJwV4SkpSUhJ9fDnLluohOZz8Hbm6QnJzAhQuf4u+fwsCBYVy6dJG+ffs99j26cOECb7Z4k0Ph\nhwjIEcD80PmUL1/+Cd5dRclYWrZsxqxZDbh9uwSQE5OpP2+91cbRYSmKch9Vk/wviQid2rZlTq9e\nuE2ezGc9e9KlXbt76lDd3NzQ6nTcWWbDAvxqs+Hn53fPvs6cOUPeQnkpV6McXXt2RYsWKgGDgD7w\n46Yf2bNnzzPHrNFo2LQpjLZtDQQHD6FRowts2/YjkyZNo379FgwcOPih9a2+vr6cCA9n4ZQplF6/\nnpA9e/hm8WKqVq1Kw1atuFClCnFffYWtWTPYsgVq1oShQ9F6eMCaNfYFQ4YOhYkTYe1a6N8fjV5P\n0qRJ3Ozbl2hNAtON0/Fy8mIsYznBCTayka3arezbsY9uHbuxd+/ef+zb2293x8MD2rSBvHnti/yl\npCQSGHi3Djx3bhtRUQ+/uW/Dhg0M7tqVrmfPku3SJWaNG0fDunWxWq1P/P4WyFsAl4sukPoroDuv\nIyh30BNv/zihoaFERQUD+YCCwFRgE/HxZ4iPj09rd/7SJZILFrQ/sFqxurlx4uTJtNrzMVOmYOnZ\nExIT7QvCpLIBp86eJTE2lrhz59AUKMD7U6fSrlMnLH/bfxqRR96E17dvd1avnkijRn+xd6+Nw4ch\nPh4+/FBLSIiGnj1TaNQIRo60MGHCGAAOHz5Mhw6taNmyAWvWrLlnfzabjQY1GhB0MIjFCYtpebYl\nr9d+natXr3L+/HnqV69P3hx5aVS7EREREf/yHVaU56Ns2bKsWbOE4sWnEhTUjf796/LhhyMdHZai\nKPd75mvRDuaoLpw4cUJyGI0SD2IFOQmS1cVFTpw4IVFRUbJp0yZZuHChTJwwQbKbTNLGbJYgo1Ea\n1K6d9pX/sWPHpGObNuLv6S6aYggDEdojkFpuMQphqP1r+9ZtWkvLN1rKsBHD5ObNm/fEcqfG1maz\nyeXLlyU+Pl4WLFggpUtXl8qV68v3338vcXFxD8y9a7VaJSSktmi1+QXMgou7aNw85I2OHR84xtWr\nV6X/oEHSqkMHWbx4sdhsNvlgzBjBaBRWrLCXUWzYIAQGipOXlxizZxeN2Sy8+aZQterdMo3vvxdc\nXYXPPrv73DvvyBsdOkjzJs0lKEeQ+Gfxl5KFSoqHwUPe4R3pQQ/xMnnJ3LlzpV/vfjJowKAHSlZ2\n7twpgYHGtK/1f/gBMRq1UqSIUVauRFauRIoUMcn06VMfej67deggHUHcQVqDLAApB9KuWTOxWCxi\ntVrFarU+dNvk5GSJj4+XvXv3SkCeAHENcBX3Qu6SPWd2OXv27D1tExMTZcyYj6RevZbSp88AOXz4\nsMTGxsr48ZOkZMmqUqNGIzlw4MBDjzN58mTR6/sITBGoKWBL/ap2reTJc7eecer06WIqXlyYNs1e\n8pItmzj7+UnxcuVkyZIlgtlsrzsuUMBeGjNpkjBkiGjd3MS5cWMhRw5h/Hj7uVm3ToyBgaIzGOzb\nlS8vjB0rNGwofkFBYrFYHojTarWKi4uTrF1rPxcTJiDu7oher5P8+fNIs2bOadPxLV+OmM0uMmTI\nEPHwMEjPnsjQoUiOHCZZvHhx2j4jIiLEy+AlW9iSVo4T4hEiX3/9teTNmVe66LrIQhZKB10HCc4T\nLElJSQ99D5+Xl2BofSqZrb9K5paSkvLIueyVjCM9xqUXfmRz1OB84MABKebuLitBPEFc7dcPxRnE\nCOIHUkSjETcQo04nLiAGEB8QFxAvd3cxgJQHcfvb9vghOCO8gVAMwSn1JytCNgR96o8LonPR2ds6\nIWgRnJ0E9AIGATeBjwXqpP7dWQwGD1m16u68uvv37xcnJy+BcoJLAaF5G3tiVaOGFCtTRsLDwyUx\nMVFWrlwpnj4+4tS0qTBggLjmzSv9Bw4Ug6enUKSI8O67aUmysWhRGTFihLh7ewuVKwurVgleXkLP\nnsK0aWKsUEHc/fzuJmFbt4q2ZUsJ9M0jNQw1ZDCDpZihmGQzZZN3eTctIWpNa3HVukpnOks7TTvx\nNnvLsWPH0vry0UdjxWTSSOnSSO/eSNGiJunSpYMMHjxA3N2N4uFhlCFDBsr27dulZ8+u0r9/H/nj\njz/Sth/Qp494gJQEsYEcB8kPok09X2YQE0guT0/Zs2ePnDx5UubNmyf5cuQQTeo5dwPxSm1v1Ovs\n58kZ0bhoRGfUiU8uH3H3yCYQIpBXwCX13JgEigpsFJgjJpO3TJ06VXr16iVVa1WVPPnzSL6C+aTe\na/XEYPAUeENguMBVga8FFonZnC2tL1arVeo1aGC/4bJWLWHzZmHzZtHXqyc6o1Fo2FBwdxd++sl+\nQ2WJEqLx9BSNXi+sWWNfPGbjxrTzo/HzE2rUsN+4GRQk+PkJer1cvXr1of827iTJa9bcnZu6WjVX\nWbhwoZw4cUK8vFxlyBBk/HjEbEayZEFy50beeutu+48/RsqUKZy2z1u3bonR2SirWCVb2Sob2SiB\n5kCZO3euFHIvlPZ7soUtktucW37//ff0/Of+1DJb0pjZ+qtkThaLRZo0eUN0Or3o9a4yatSHKlnO\nwNJjXFI1yf9ScHAw0Xo9XbBXh3pgLyHWAmbsX13/KYIzoE39yt4LSAEMQFxsLEUBPWDEXophAiwl\nUw+wEsgGOAOJqQ3uMAJJYE222jdqD7gB36TAOS2keADtgJGADvgQ6ENCwiHatatL8eLFCAgIoH37\nLqSkaIFykG0T9HoHkpNh2TJ+O3WK8q+9hi45mSSNhqQ8eaBvXwDiy5bl0y5dcPH3J2HwYBg8GDZs\ngCtXKFe+PNeio4kvVsw+fZzRCNOmwfTpaJcsoVevXlQsU4b23bpxu1kzdDdvYti0CU2SJx0TOrKM\nZfyZ8Ce++OLK3fmbj3CEfrZ+1KIWCBjiDcyYNIM58+fw9ddf8/nn4/nsM+HnnyEsTEu+fKWZO3cB\nWq2WiROnkJKSQrduXalfvxrt29uIitIQEjKfUaPG4+7uTtNWrfhk5kzcgBvYq13yAVlS38HW9rec\nDTExVPvbvNXuqefTE+gNDAOuA68kWbmotZ8/sQlWTytXL161fxRyioYUZ6AwcBFIwF5fXBCIwpLU\nnwGp08OhTf0Fywan951GY9OQLdt2rl9fB8wDygPn0WicWLRoETabjVq1arF73z4oUACqVbMvVW2z\nkVSgANq9e6FFC9ixw77/5s2hfn1o2RIxmeDsWft2YWH2dpcuIZcvQ44c8OqrULEihIXhNG8ekZGR\nZH/IUuJarZbu3d/h/fcX0qKFhdOndRw7pufnn7ewbt2PfPDBh3z33QqOHDmCyG0WLLDPMvj36bGd\nnbmn1MVsNjN8xHD6f9yfSgmVOGY4xitVXqF8+fLEWmNJJhlnnEkkkbiUOEwm0wNxKYqiPIt+/Yay\nfn0CVmsUVms0H39cl0KF8tK6dWtHh6b8R9RiIs+ge5cuLP3yS7yBKCA7cAXImfpndqAYcBCIAXIA\n5wBfIA577qMBQoFawHdAax3cHgLcWeeiOvAjkAf4K/XPc9gz7ljs2dyrqW2vY8+bkoJSH+i4P8N2\ncmrIokVvEBkZyeDB60lIOAx4gk80LFsKixfD6dP2G7T274fPPoMmTeDkSRgyxL6TW7dwatUKV3d3\nbvbtC6VKwZo1uK5aRcTZs7Tq2JGNRYrA8eP2m/UCAtAeO8Z3X39N/fr1AdixYwfLV63CbDJRulQp\nhnceTlRcFNnJzqu8Sm5yM4tZ9Kc/OnR8pPmI4TKcMthvMvyO77je8jqLVi6ie/dOODsvoHlze3gn\nT8KoUZ5otTpEbHTp0oMzZ06xYcMqevcWqlSxl+N27Aiens74++s5eBCCcgRy9ujRtA85TqnnyQL4\nAxGpz1tTX9Njv0fPCtwGzgJZU9/nQcBkF+yZtTf2bLtl6g4WANfcQHSpW5uADUAJ0JYFw4G7AWix\nfwLTAaXt5971T1e83AK5cKE30B2IRmPIj3OhALQuLiQfO4Y1Ph5atoTISChXDj75BBIS7DdV5ssH\nly5B4cJQty66H35Arl3D1q0bfPyx/ebKffvQaDToUlKwWq1I7tzg6wvnzoGLC7qgIFwOHGDlokX3\n3EB5h81mY8aMaWze/AM6nQubN28BksidG86fh7fe6sq3367C1TWaL76AP/6wl6136wbu7jBvnomh\nQyfTvXuPe/a7ceNGDh48SO7cuWndujVarZbmDZpz4ecLlLWUZbdpN0UbFGXRikXPvGjJs8hsi2tk\ntv6mh4MHD3L8+HEKFixI2bJlHR2O8gTy5CnBuXMLgFdSn5nJW28dY+HCzxwZlvII6TEuqSvJzyCb\njw/u2OcXsKb+mYQ9YY4HkoFCwD7sV5BvYU+qElNfs6W+fmedpYbYk6wLv/6twUXAFYhMfXwF+9VI\nS2qba38LKG3tjSjs6V1Q6ga/A0WB29hsv+Hn58fhw+EkJBTBntpdhJt+MOZjuHEJGjWyJ1M3bkDB\nghASYk+e166FoCCMS5fS7I036NWlC41atiT62jW8fX0J+/FHPDw8qP3qq+xcvBjL2LFQtSr6Tz+l\nc+fOaQkyQOXKlalcuTIAt2/fphe9aEADrnKVLGQhiii88GIqUxEXoWHzhny+5nOMFiMJJLDMtIyJ\nr0+kcZ3G/LJ3B2Uqarhzx9zatQCxjBljw9kZPvpoGmfPJhIUJLilTp7x/feQKxeMH5+MRpPMtm2w\nZk0S3v7+uFy8SDT2zyR5gejUt7sJsDX1707YE+Nk7N8c3Elz22G/Lrwe7t4WmwxUxJ5Vg/1DzXdx\nkJQNe/abF2hlb+R0wH6ALNg/WbkDl4DBqb88RSFhfgJxcdFAFfv+NLOQCqVIatca/vc/aNfO3kGD\nASIiYMYMmDULAgOhf3+4fRuWLoUVK2DVKlwiItB4eBCfNat9FpKLF9EmJfHz5s2ULFmSqnXrEu7j\nQ8rVq/YM9pNPsGq1WI4coXOvXlx5SJKs1Wrp338g/fsPpEGD6ogkMXGifbKTmzdh0aJ5ZM/uy7Vr\nsH27/SJ106bw2WcaSpcuzciRPXj77Y4P7LdOnToPzKaxcu1KPv/8c47/dpwepXrQuXNnhybIivI4\nH300iQ8/nIFWWxmb7T0GD+7JyJHvOTos5TF8fLJz7txh7iTJev2RJ151VXlBPXPBhoM5sgtnzpwR\nL1dXMYD4ggSCZAEpnFqfmj21xrUciD71Ob/UNo1Ta5nNIFdSJ8u8kFrbqjfqxSWvi72mNYd9QRGM\nCCVS65ED7DXJlEr9Mx9CydRaZkwC+QWMAtkEsgp4C7QSyCWvvlpbbDabrF27VrTabALvp75+WtC9\nJxiKCuVDhE2bhC+/tN+sNW+e/ScoSPTe3tJ/8GC5fPmylK1cWfSurqLT6+XdgQPl/PnzkpSUJCkp\nKdKpe3fR6fWi0+ulRbt2kpiY+I/vZbsW7aQ3vaUWtcQVV8lPfvmAD6Q1rSWrOatcv35dpkyaIkXz\nFJVSBUrJwoULpXBgYXlL95bMZKZ4G1zllVIaqV/fKB4eOhk+/G5968iRiIuLRnr2RIKCkE8+QapV\nQ95++26bZcsQP78s0rp+femdWiPulFpjbEo9tz1BcqY+9gepA+IBkjX1dRNImdS6cyMI5rv141T/\n2wIxZRF0WoGA1POVS6CKoEutPdcjmFLrzPXYnx9xd3tDPoNUrFhN9Pou9jmvnTvaa4sbNxa6drXX\nEoeGCjlz2uuLq1e/e5Nkx45Cq1Z3H69ZIwZ3dyletqz9Jsxu3YRBg0SXJYuEhoaKiMi1a9ekbuPG\nYnBzE5o0ubvtd9+J3mR64FzGxcVJdHR02uNKlUqJmxvSvTtSsCAyb579HHh7O4uHh0Hc3DQCiNGI\naLUaKVQoUMLDw9P3H+tz9hIMrU8ls/X3WURERIjBkEUgIvXG28tiMHg9cm50JeM4dOiQmM3ZxGRq\nL66ur0lgYPBDF7xSMob0GJde+JHN0YPzqVOnpFP79pLD01PM9i/QxS315i2X1CTKBUSv0Yivr68Y\nU5NkY2pClQXEG6SJi4vkMBhkQN++smTJEnEr6Ca8nZpg5UEohxCIkBchf2ry7ItQP/V1HQJOqT9u\nqT/uqT/ZBFyldevW99xkYDRmE/hToIHAkNTZEk6L1uQhBl9fMQcGil9goJg8PETr7CzBr7wi586d\nExGRJm3aiL5JE3syPXy44OIiei8vcc+aVbZs2SIi9pkcbt++/UTv46ZNmySLSxbxxFP06OUbvkm7\nGauaqZrMnz//nvaHDx+WPOY8abMd/MAP4mPwkWHDhknr1k2kUydtWgL87rtIQICXFCvmJB4eiMmE\nGAyIt7dGQkORn35CXn/dSTzdnEWfOsPFxtQk2D31/BlA8qV+sMmT+qEnO0jz1CTZNfW8OzsjeKfe\nhOmM4J76p7P9PDnlcRKju1GcnV1TE2Q3AQ8BH3tSbEw9v3e2cUr9HciL0AHRVNWIwc0oQ4a8JxUq\n1BRnZ1fRap3FyT/AfpNer153k9hJk8Q/b14xFyx490a8vn2FLFnsM5Js2SJO7drJq7VrS9eePYW3\n37677cSJEly27D3v+Z49e8SULZv9w9PGjeLcooVUq1cv7XWr1So9u/QUg5NBXJ1d5bXqr8mtW7dk\n9uxZYjTaP6BMnXr3g8mAAUiTJq/JjBkzxNPTKOPG2RcdGTgQyZLFIIUL55KqVcvK/v37H/h9sVqt\nMuHDCVIyf0mpVLKSrF+//sn+wT4njh6XnrfM1t9ncfDgQXF3L/63hURE3N1fuWdBICXj+uuvv2Te\nvHmyePFiuXXrlqPDUf6BSpIlYw3O0dHRcuXKlbRE9Pr167Jjx457pgGLiIiQBQsWyOzZs2X+/Pmy\nZs0a2blzpyxdulQOHz4sIvYrcXkK5BF9eb1QH9G6adOuKmp0GtEa7I+1eq14+HhIcKlg+eGHH+T6\n9ety4sQJOXXqlCQkJIjNZpONGzfKqlWrHrhKsWHDBtFqPQWmC1y2z3CBi+BikCw+vlKpUiV5rWlT\nGTJsmERGRj6Q7PoEBgpffWVfTc/dXZg9W5gxQ8iWTdBoJH/x4vfMHvEkhgwZIsU1xUWPXsIIS0uS\naxlrybx58+5pe+LECclmzCYb2CBb2Sob2CC+Jl85fvy4nD59WrJn95BGjZyleXMn8fY2y5IlS8Rs\ndpL33kM8PJBu3ZD69REnJ0Sn04ibq1ZWgdxMndEiMfV/r20gpXU6qVq1qvh7eYk7iJtGI+5arbhr\ntZLTbJZar74qy5cvF7O/WRiZesV3OOJscpapU6fKd999J9euXZNly5bJihUr0qbXs9lssn//fpkz\nZ45UeLWC/YNPIIIBwQtBg9SoUUNGjBghjZo1Em+/rKI1ZBEYJQZDEylbtppE/p+9qw6P4vra7/ru\nrCUbDxGiECAQEmiwYMEJFtyCa5HiUJwPl0KLhxYpEChW3JPQFneHFie4Bokn+35/zJKQH6GlJUgp\nL08edmfuPdd2zpx77pEHD5iYmMhhI0dSplSK2uDBg4lx4yi4u3PO3LkMq1+fOl9f6qpUoWAyMaJN\nGyrUaiq0WhYqVoy3bt0SheSOHbOE5KlTmS8w8JU1WrRoEbXW1pTK5SwVGpotHfSsmbPoL/hzAzZw\nB3awiqoKu7TtQrPZzJ49u1OnQ6aGPyYG9PcH1WopraxU9PLK2tRUrQoWLw7OnSuGg7Ox0b2SMXDM\nqDH0E/z4Hb7jSIykjWDDvXv3/q3f27vEx8SX3gf+a+N9Gzx9+pQGgwOBDRYheQv1evtspy+f8Rmf\n8fb4LCTz02XODx8+ZI9ePRhWP4xTp03l8+fPmZSURLPZTLPZ/FZxGuPj46nT2RJYYjnqDyZgEkOA\n6fVEgQJirNyePakMC6Obry+fPn2ajUaxsmUp6d1bDBlXqBAxfLgooI0bR+zYQUnPnnT29GRaWtob\n9y6k3XkAACAASURBVOvChQs0aUyshEoMQAAnYALboz0drBx4+/btbGXNZjMb1W7EICGIX+JLBglB\nDK8Znjkn169f54QJEzh27FheuHCB06ZNY716KnbuDNaunaXNXLQItLLSsKhOx4cWwTgE4CCI8a9P\nAXTQaHj06NE/7Xt0dDQN3oYsk4phoMZKw+vXr7/R2AcPGUxFEYVoOiMRtcje+b0z7z9+/JgKhY5A\nvOXFmkGdrjB37dpFUnzxnj59mmvWrGHpypVZrFw5/mDRvmdkZHDr1q1ctGhR5sYlJSUl20t5//79\nFEwmYtAgYtw4aj08OHPWrBz7+uL3979o2bAl+6Jv5uZmJmYywCcg8/6OHTtoZaVmixaghwfo7Ayu\nWyemqjYawQ0bROFZqRQ/v1ijsDANZ1n6kpGRwejoaLrZunE2Zme21R7t2at7rzea6/eBT5UvvQ7/\ntfG+Lfbs2UOTKQ8VCi2trZ3466+/fugufcYngIyMDE6dMpXVQqoxonHEK8qF/xpygy99dtz7SGEy\nmfDtN9++9r5MJvvHtK9cuQKp1BGim1ktAMcgFxohXaEBRo0SwwwsWAA4OIiOiEOGYO3atWjZsmUm\njQUzZyKkUiWku7jg+YULwOTJgI8PYAmPxrp1Eb98OW7evAk3Nzc8fvwYBoMBcvnrf3Le3t6YOnsq\nunXqBrlZjrEZY1G8VHHsXrAbjo6O2cpKJBJErYlCZGQkTh87jbYBbdGxY8dMhy1XV1f0798/s7zR\naMSdO3I4OKTgZWfXAwdEx8E71oBXKvB9qpjHLhTAZKkUgkqFmZGRKFq06J/OaXBwMPTpeiT+moh0\nj3SoTqlQsEBBuLi4vMGKAP369sOKNStwR3YHZn8z5LfkWLd6Xeb9pKQkyGQqpKW9SNsthVRqg6Sk\nJKxctQqt2reH3MoK5qdPsSoqCtWqVcusK5VKUbVq1WztKZVKKF+KuRYcHIyNq1Zh+MSJSE5ORoev\nv0bjRo3QrE0b7PrtNzg6OmLet98iKChIjHqRw+/P3dsdh1SHUCOlBiSQ4KT0JOyd7DF79myQRL16\n9RAbuw/9+vXGo0e7ULcuYTCIvoBlyojpxIOD1QCS8fQpoNOJdJ88kUKj0SAjIwP1a9bHmT1nkJiY\niGd4ltn2M+kz2GpsX+nTZ3zGx4hSpUrhwYM4PH36FAaD4bOj6WfkCgb0GYCtkVvRKLERrkqvotT2\nUjh+7jgcHBw+dNf+vXh7Wf3D4hMYwnvH/fv3LUkpfrdoJa9QqtYRSiWxbh2hUBCbNmUevQvVqjEy\nMvIVOvfu3eOaNWuYz9+fCA8nHByIzZvFeitWUKnV8tChQ3T18aFSp6Nar2dUVNRf9u/p06e8cOHC\nG9szvwkSEhIYEJCfxYurqNOB7dqB/fqJtsk//CBqLOfOBQUl6KzR8JsJEzJNVt4U169fZ826Nenj\n78MWrVv87ePThIQErl69mlFRUbxz5062e2azmYGBIVQquxA4Tqn0G9rYuHDmzJlUaLVEZKQ47999\nR6219SsZE/8JKoeFUVW1KrFgATFwIPW2toyLi3tt+SdPnjDAL4CF9YVZ0lCSDtYOtLc3MihISS8v\nGfV6Dc+cOcMiRbzYrBlYpAi4fXuWfbKfnydnzZrFrl070d1dYLduYFiYgj4+rnzy5AmXL19Of60/\nd2AHh2M4rWHNbujGFtIWtDPYfVRak/8aX/qvjfczPuNjg9lspk6ly0y4FItYVtFU4Zw5cz501z4Y\ncoMvfdYk/wdha2uLGTOmonv30lAqCyM19RS6du2KqZGzYf7+eyAkBBgzBoiIAC5dguzwYVSLjHyF\njp2dnagd/O03/H7/PlC8OPDll0DBgpDs2YNRI0agfvPmuBEWBtauDVy+jPbdu6NgwYI4e/YsHj9+\njIoVK8LHxwcSiSRTm6LX66F/EastlyAIAnbvPoyFCxfi3LlzuHTpDM6efQpX17Pw9EwGIObQsHdW\nY+TIOYiIiPjbbbi6umLjzxvfqo/h4eE53pNIJNixYy06dPgKBw82g6dnXjg7V0KfPlOQ5pBH1OID\ngL8/pCYTdu7cCbVajUKFCsHNze0v2z579iyio6NhMBjQsGFDyOVyRG/bBvPGjWKWj7x5wSNHEBMT\ngyZNmmDYyJE4fu4cihYsiCEDB0Kr1cJgMGDf0X2IjY1Famoqli9fiMuX1+LGDaBKFeDUqSRUrlwa\nTk6O8PcH4uKAtm0BvR64eVOFPXvWoVChQgCAihUrY+fOzQgMdMaiRb1gMBgQFxeH/Kn5IYcc5VEe\nCigwRjoGnbp2wv5e++Hh4fGP5/4zPuMzPuPfDoKQIOtUQoLP8cvfGm8vq39YfAJD+FPcuXOHnbt1\nZo16NTh9xnRmZGTkGu0rV65w27ZtvHTpEkly8+bNNLm6EjIZ5Xo97fLmZXCFCn9pj3v+/HnqbGyI\ntm2JunWp0Os5atQo0Y5WELKcwWJjqatQgW6+vtQGBVFdrRqlej2lCgU1BgOnffddjvQfPHjA8+fP\nMzk5OdfGTpK3b9+mlZWGCxeK2swffgCNRg0fPHiQq+28C1y9epVqtS2BM4TKioiKEud4wQLKtFpq\n7OxoLFGCgsnE1atX/ymtbdu2UTCZqK5bl9oSJZg/IIBPnjyhQq0mVqwQ6cbEUBcUxAULFtDo5EQU\nKUIMHEhpuXIsWrJkjrbn1aqFUKkEf/pJnN/oaNDLS8r+/fvT3l5gz55gWBio16t54MABxsfHs27d\nahQEJZ2dTVy+fHk2er/++isdBUcuwzLGIIatZa1ZtnjZXJ3X3MKnzpf+F/+18X7GZ3yM6N29N/0F\nf47GaLaTtqOjteMr/jz/JeQGX/rXc7ZPmTnHx8fTyc2J8tJyIhwUPAR269ntnbdrNpuZkZHBnn36\nUCkIVAoCu/TokaOz1gucPXuWbTt3ZqOICG7ZsoUkmZ6eTo3BkGUKsHkzlSYTVcHBREwMUb06ERpK\nbNlCLF5MwcWFmzdvzkZ3yoQp1Kv0dNW50sHagUuWLHnFifDP8OzZM169epWpqak53v/xx0W0slKz\nYEEDraw0mbGBP3YcO3aMen1B0VxGOptQmwgvHyp0OiptbIi1a8U5nzOHKkHgkCFDGBkZmWO86rx+\nfsT48ZnCsKZsWU6fPp31GzemxNGR6NyZ8vLl6RcQwLDwcEKrJbZtE8tHR1Pl6ppjZImJE8dTJhPD\nur1wwgsJUXHJkiXcunUrW7Vqwi5d2vHs2bMkyXr1qrNmTSU3bABnzgRtbTU8ePBgNprffvMtNQoN\ntUotA/IH/Kn5x4fEp8yXcsKnNN7nz58zom0EXTxdGFQqiIcPH/7QXfqM/8HGjRtZ1NubXg4O7NWl\ny1/G4f+vICMjg1MmTmHVMlXZsmHLTAVYbiM9PZ2xsbFct24d7969+07ayA18FpL5aTHn/8XSpUup\nK6jLipjQH5Qr5X8qrOYWpkydSsHfXwzxtmYNhYAAjp0w4W/TWbFiBQWTifqKFal1c2NAsWKUNmsm\nCliOjsSSJVma5nbt2Kdfv8y6Bw4coKPgyBVYwSZoQj30dJG40NHakUeOHMmxvdWrV7N48YIMCPBh\n48YNqNOp6OAg0NXVnidOnMhW9uHDhyxXLpgKhZQqFWhtLWeJEoHvjLHkJhITE+ng4EGJZAaBBwTG\n0GCw5/Tp02kICcma0y5dCJOJkpYtKXzxBYPLlXtF62u0txfjJlvqSFq2ZMPGjSk4OREtWxJly1Ju\nZcXIyEi65s8vxlneuVMsP2sWYTLRr1gxfjdjRjYb7oyMDHp6OrFmTXD5cnDYMDGc2+sifhgMGq5d\nmyVQN24s54QJE5iRkcHp301nkzpN2L93f965c4cPHz78x9Fd3gc+Zb6UEz6l8daoU4OqIiqiC4i6\noM769b/Zz3j/OHjwIO0FgVsAngNYVaNhj44dP3S3cgWvixz0IXHnzh1WL1+dNjobFvEtwj179rB6\nher01nmzlKEU7Qx2H+1GMjf4kjRHG4zP+CiQkZEByl+yJ5IBFDc277ztDTt2ILFBA8BkAqytkdiw\nITbu3Pm36TRs2BDH9+9HZIcO2Lp0Kb6dMgWqnTuBK1cAoxG4eFEsSEJ95QqcXvLCPXXqFAIlgbiG\na9iDPViKpVjMxWj3uB2ahTd7pa3t27ejc+cWCA8/gypVLmDTplWYMycFy5cnokWLe6hXrzoSExMx\nYEBvVK5cCqVKBcBsPgyl0gwbG6BDh3R4eh5FYGBB3Lx58x/P3fuARqPBL79sgb9/FDQaLxQsuB77\n9sWifPnySDx+HLh6FcjIAH74AZg1C2zbFonjxuHMgwfYtm1bNlqhoaFQLVgAJCYCly5Bs307rt29\ni8TWrUWj4ZEjkd67NxauXAk/X19AqwWmTAG2bRPTYLdujXP162PQt99i3MSJmXSlUikOHjwFlaoG\nvvrKChs25MPGjTtyTOO6du1ayGTEtWvidxK4fl0JGxsbdO/UHZEDI5F3XV6cnXEWoaVDoVarP0cE\n+Iy/hdWrVsHD3h5GjQaNw8Lw5MmTV8qkp6dj26ZtSAlLARwABAD0JHb+A973X8Lly5exc+dOxMXF\nvfO2Nm3ciPZJSagGID+AmUlJ+HnVqnfe7rsESQwZMQJqrRYqQUDDFi2QnJz8obsFkqhdpTaMu42Y\n+3wuCv9RGBVLV8S12GuY83wOxjwdg45PO6JTy04fuqvvDJ8d9z4i3LhxAwsWLEBySjIaNWyEqlWr\nQtlXiaS9STA7mqE5pEGdJnX+NIxabsHZwQHSy5dhLlsWACC9cgXODg64fv06Ro0fj7sPH6JBjRoI\nCwvDjz/+iOfPnyMsLCzHUGk+Pj7wsTiWrV27FukJCUCXLkBqKiQTJkB98CBkDx8iT0oKOnXKeti8\nvb1xCqfgAhcEIhB6iM58ZVEW4+PGg2Q2QWnZsoVo1iwJJUoA27cDxYoBefKI9ypXBr755i7q1q2G\ntLRDqFIlGRMmAF5egEIBjBwJeHuLZR89SkZUVBT69ev3LqY215AvXz6cOLEn27WmrVsDzs6iA6VK\nJQrKdnbiTakUEkdH3Lt3DykpKVCpVACABXPmoEnr1tgRHg7BYMA348dj086dwLNnwP37wMSJwNWr\nOCqRYO7kyTh27BgeHzuG9F27gDp1gFq1AAAJNjaYMWECvh4wILM/NjY2WL1605+OY+7c2Rg9ui/K\nlEnGkCFA+fLA3bsaZGR4Ijw8HF06dsEa8xrooEOV1Croe68vdu7cidq1a+fWVH7GJ44jR46ga0QE\n1iQlIT+Avjt3okOzZlixKftvUyaTQSaXISMxAzACICBJkECj0XyQfpvNZkRHR+Pu3bsIDg7O5KMf\nAzIyMrBo0SJELYrCoX2H4Cv44lLqJcyYNwPNmr+qxMgtaHU6nFUogNRUAMBNADpBeGftvQ8sWbIE\nU6OikLpoEaDTYeO4cejSowe+7NgRvr6+MBgMf0kjIyMDS5YsweXLlxEUFIRatWq9tSIhPj4eZ86f\nwfj08biKq1iP9SiJknCDG2QQw4AWQRHMuznvrdr5mPFZSP5IcO3aNQQUD8Bzr+fIUGRg2oxp2Lxu\nMw7uOYhe/Xvhxh83ULVeVYwaPuq99Gfs8OHYVqoUkm7eBCQSqE6dQt+1a1G0RAk8CQ1FhqcnoocP\nR/d+/ZAaGIg0kwnjp03DmqioV2LyvkBiYiKat2mDtMmTgfz5gZs3oezaFYNLlULevHkRHh6e7WVU\nrlw5NGrbCN9Hfg9lihJt0AZGGLELu+Dr7vsKA9BoBDx/LgFAODkB584Bz5+L8XZPnwY0GjUOHz6E\nFSuSIZcDbm7A48eiHKlWv0wHSEtLexfT+s6xZuVKpEdFiREpnjyBpFcvSGfOREbTpsDx40g4cAAd\ndu9Gx86d0aFzZ8yYOhUGgwGb16zJRufxo0f4ecgQYP58QC4HunZFstmMtt264eelS6FWq7E0KgqL\nExNhflEpLe1P43cnJiZi0aJFuHfvHipWrIiQkBAAwPjxIzFkSCLy5QNq1wamTZOiQAFx87V+/XqY\nzWYoIcZ0lkACeboc6enp72L6PuMTRXR0NJqnpaG05fvklBR4xsS8Uk4ikWDw4MGYMGsCEgsnQnlP\nCUep43vZkGVkZODJkyewtraGRCKB2WxG3caNEXv8OODhAXPPnli2YME77cvevXsRExMDW1tbRERE\nQHiN8EkSEY0jcHTTUdxIvoHv8T0cnjjgCq6gS4cuqBlWE0aj8Z30sU2bNvjim2/Q/uFD5E1LwyxB\nwLTJk3ONflxcHJYsWYL09HQ0atQI+fLlyzXar8OWmBgk1qqVqdBItrPDosWLsebXX4FHj7BpzRqU\nKVPmtfXNZjMa1mqIK79eQeGEwliiXYJ9nfdh3ORx/6g/SUlJuHjxIvR6PTKYgYd4iIM4iIqoiGIo\nhjmYgzqoA2tYY618LYICgwCIv4urV68iLS0NXl5eb5XP4aPBWxtsfGB8AkMgSX7Z40tKQ6RZ9sf1\nweJlin/QPt27d4/z5s1jZGQk79y5w++++46q6tWJOXOIZs3EzHxVqmTZv44dy3xFi76W3oULF6jN\nkydbtAtj8eLctm3bn/bj7NmzbNawGY0qI30MPnS2cebx48dzLGdjo2ODBqCfH6jTgdbWMgYHG2gy\nCVy8eDGtrdWZsXnnzgVVKjFWso8POGUK2KcPaDCo+Pvvv7/1/H0I6G1sxHThlvnVlCrFAoGB1Nva\nUm9vT1mZMqLT3fr1FAoV4qzZs1+hcenSJTH7Xp06YuzrwYOz1qxfP1YPDydJXrx4kXobG0o6diS+\n/pqCmxtnzJyZY78SExMZFFSAZcpo2Ly5lPb2AhcsWECSdHY28ccfs2yRa9SQsHTpEuzevQtLB5Vm\nARRgMRRjYRRmHuShIBF469atdzaHuYFPhS+9KT728c6bN481BIFmS1bNPQDz2tm9tvzKlSvZoXMH\njvq/UbkSc/yvsHHjRmq1JiqVBtrbu/Pw4cPcsGEDdfnyZTnJzphB45/0+Z/gzp07bNCiBf2KFWOp\nsmVpp7FjM2kzllKXoqeLJydOnMh9+/a9Uu/8+fO0F+w5ARNYGIUz4/LGIpbuevdMZ9x3hfv373PM\n6NEc0KdPrmYrvHjxIo22RipKKCgrJaPWSvte7G37DRxIea1a4jpHRhJWVlmRhcaPp7WDw5/6YOzf\nv5/uWndux3bGIpZrsZYahYb1a9ZnSGAIB/Ub9MbRoU6cOEFnZxt6euppMKhYKbQc3QQ3foEvWBIl\nGYtYtkZrqqCiGmoGFQzi7du3mZqayvAa4bTV2NJJ68Ti/sX58OHD3Jqif4Tc4EufbZI/EsQ/iYfZ\nYM66YASePXv2+grvAXZ2dmjfvj06dOgABwcHpKenIyM+XszIp1AA6enAy/alTk452vm9QJ48eUS7\n15MnxQvXryP10iX4+vq+UjYlJQUzZ87EwAEDceHCBSxdsRSnLpzCT7t+wh/X/kCRIkVeqePn54et\nW2MREyMgKEiCkSMBLy8ZAC+cPPkHmjdvjlKlymDMGA127wY2b1bCy8sTY8d+A42mAL791oS9e4sg\nOnp3jn36mPH8+XOkpaVh5NChEIYMAVauhGLKFNjcu4e9MTG4efkyktLSkNG4sahl1uuRWL06Yvbs\neYXWkSNHIC9cGChSBMjhuI4Wm3gvLy8c+O03NElNRfXff8f348fjy65dc+zfypUrIZNdw6hRSWjf\n3owxYxLRr19PAEDLlq0xZYqAU6eAqCggOprw8DiApKTZOH5+PzzggXM4h/IojwEYAD+JH77u83Uu\nzt5nfOpo3rw57ufNizBBQG+5HPU0GkyeNeu15Rs0aIDI2ZEYOmToGx11vw1u3ryJRo1aIyFhI1JT\nn+DevUmoWrUurl+/DrOPj/i8AkD+/Hj66FG2U67Tp09jzZo1OHPmzN9uNyUlBaUqVsS69HSci4jA\nkX1HMTppNNqZ20GaLIXkhgR7v96LuqF1MXf23Gx1nz9/Diu5FTzggau4iosQfUuO4zie8dkbxWZ/\nG9ja2uLrwYMxfvLkzBOp3MDo8aPxzP8Z0qqlIaNKBhJCEtB/aP9Xyv3666+YOXMmtm/f/tY+QiRx\nNS4OGbGxQJ8+or+Hr2+WmVxwMBKeP0d8fPxraTx58gT2cnsooMiim0YYtxpR+2ht/DrjV7Rt3vaN\n+tO4cR1ERDzEDz88w8KFKTj/+2F8OfxLVBhQAVetr2KiciLkkMOoMWLM5DE4dOoQHB0dMeb/xuDq\ntqtYmrQUSxKWIM/vedCnW5+3mpuPAZ/NLT4SNGnQBD+3+RmJDomAGhBiBTRt2/RDdysTz58/R9Wq\nVdF3xAjxQS5bVhSiRo4EihYFbGygiYxE3bCw19LQaDRYvWwZGjRrBqmNDVLv3sX0adOQN2/ebOXS\n09NRpWwVpJ1Kg1+SH3pqe+JE3xMYOmJojk5fJPHo0SMIgoA7d+7Ay0uOdu1ExuXvn4p69U5DEARI\nJBKsWrUBo0cPx+7de+HjUwALFoyHtbU1evXqlZvT9d7w8OFD1KzZCEeO7ANADBs2HMtmzMDGbdvg\nGBSErxYtgtFoxPz582FWqYAzZ4BChUR92vHj8CxW7BWaTk5OyLh8GejaFUhJAWbMEMubzZDNnYs+\nq1dnlvXz88OiyEjMmTMHe3btwdOnT9G+fftXjtni4+Ph7JyeKXPnyQM8e5YIkhgzZiK0Wj0WLfoJ\nDx48RPPmD9Cypbh+jo4ZmPrNZnyRWB71UA8AMMI8Ag1WNsAPS36AVPp5n/8Zfw2NRoNfDh/G0qVL\n8ejRI2wODUVQUNDforFw4UJM+nYSUpNT0bFtR/Tt2zdXnEdPnToFhaIIgJKWKw2RnNwXbm5u4P79\nohOuuzukK1bAr2hRKBSiIDRxyhSMmDABCj8/pJ09i7HDhuGr7t1x/fp1HDhwAPb29ihbtuxr+3ji\nxAncT0tDWseOgESCdKYhD/LgCI7gNm5jDuZAni5Hg/QG6PBVB7TvmPVcFyhQAOm6dEQ/j0Zrc2v0\nQA8IEgHUEivWroBWq/3b8/Dbb79hypT/Q3JyElq16oqmTd//++9h/EOYjS8pq6yAxxceZyszfPgY\nTJ78PczmqpDJZqBly2qYPXtq5v379+/j2LFjsLOzQ0BAQOb8k8SRI0fw8OFDBAYGws4iBJ88eRKb\nYmLAhQuBo0eBCxeArVuBhw8BGxtg3z5I5HJUqVcPTnZ2sLG2RkJyMmpUrIijp07h2Jkz8PP0xDVc\nwzZsQzEUwwzJDPjBDy0zWgIACiUVQp21dTA/ZX6mL8qlS5cwZco4PH0aj3r1mqJ+/fpITU3F779f\nRaVK4lisrYGgoAxotVr0798fAwYMwOzZs/Ho3iMsqbkElStXBiCaZ8yeMhutMlplmsaFpoZiwdEF\nub5G7x1vrYv+wPgEhpCJ+fPn08XLhQ6uDhw0eNBHEQomOTmZtRs1olytplylomBvT8ycmXX8XqkS\nNTY2NDo4sF2XLkxOTuazZ884YtQotmjXjpGRkZnHRE+fPuXx48d58eJFHjt2jPfv38+xzS1btrCA\nrgCjEc1YxHIVVlElV+UYC/Pu3bssEVCCOqWOaoWazZs0Z0CAnjEx4tH95s2gRqN4L0emHwI1azai\nQvElgXQCN6nV+nL9+vWvlJs+fTqVFSsSdnZEyZJiMhCNJsfU2WazmS3ataPOw4NCuXKUajQUHBzo\nVbgwt27d+krZOlXrsLhQnF3RlQFCAJs3aP7K0eCZM2doMgmcOBEcPhzMn1/GL74IeKVcixYN2Lt3\nlunF5Mmgs9bAIARlHueuwAoKSoEJCQkcOmgo61auy0F9B/H58+e5MKO5g0+JL70JPvXxzvt+HhUG\nBaEDUQSEAawdXjtXaJ86dYoajROBh2Lcc1ygUqlj286dWahYMcrVaspUKvr4+/PKlSskybVr11Kh\n02UdyS9fTrXRyOXLl4shN8uVo9bDg3UaN35tAqqjR49S6+aWGc5RVTyEoQhlT/RkWZTNfN5iEEO1\nXP1KfPrLly+zUulKzGOThxVKVODOnTt548aNTD598OBBhoQUo7+/J7/6qisTExNfOwf79++nySSw\nXz9wxAjQxUXgwoULc2V+/w6WLl1KwVEgOoPoBgp5BU6YlBX69O7du1SpjATuWNbqCTUap0zzkj17\n9lBva0tj8eLUOjuzRbt2jI6O5ujRo1m8TBmqbGwoc3SkzGDg/PnzSZI7d+6kMTAwmxmiwtqaKqOR\nBj8/yvR6qkqVIoYOJQwGon59olcvSg0GykNDidGjqapalfmLFGFQgSDa6GyYzzMf/SX+mWu4ARuo\nlCkz1+batWu0szOyVSsp+/YV53vu3DmcPHki9XoJR44U+e+GDaCTk5zbt2//03mLjY2lo9KRIQjh\nTuxkDGLYEA1Zt1rdd7RSb4bc4EsflLNt2bKF+fLlo7e3N8ePH//K/SVLlrBw4cL09/dnqVKlXolz\nS376zPlDo9+gQdS8sGPdvJlyV1cq8ucnfviBmDqVgoNDNpvilJQU+hcvTlWlSsRXX1EoWJCdu3fn\nrl27qLe1pcHbm2qDgdNnzXptmytWrGA5fbnMBzwa0RQUAuPj418pW7tKbTaSN2I0orkaq+kmuNHD\nw5F16ig5ZAhYrJjAVq2avJO5+RhgbZ2HwBULwyaBURwwYNAr5f744w9qTSaib1+ia1cqChZk7UaN\nXkvXbDYzOjqaixYt4qlTp15b7sSJE3TWOmfawm3BFtpobDJf5i9j69atdHAw0NoarFNHQl9fLVu2\nbJxNUN60aRMdHUVhevp00NNJzU6SDrSHPWujNvuhH30EHw4dNJSVQiqxvLo8h2EYK6srM6RYyEex\nsST/XXzpr/gwSXbv3p3e3t4sXLhwjhk4/03j/SfwC/AjlCB6WXxGBoEyvSzHd9I/QZ8+X1MQ3KjX\nN6BGY0drJycqGjQgBg2i1M6OEoWCMqWSEe3bc9TYsVTZ2BB582YTrAy+vrRydCSmTCE2biSqykHj\nvgAAIABJREFUVKFEr6dHwYLZ7GqfPXvG5ORkpqens2SFClSXL08MGED1F1/Q1cGdRsFIjUTDKZjC\nLdjCVtJWLOqX3ddk27ZtnDx5MtevX0+z2cybN28ysEAgtUot1Qo1WzZrSbUa7NJFfI5LlZKxQYNa\nrx1/x46t2aVL1uZ44kQwOLjQP57P8+fPs/+A/uzTr8/fXqOp06bSPo89bZxs+PWQr7NtMs6cOUO9\n3tfCa68RCKNEYs2AgDK8du0anb28iNGjs5JnOThQ5eBAaZkyhK0tYW9PDBpE9OhBiUbDI0eO8MGD\nBzTY2REjRxJbt1LSsyedPDx46dIlbt26lXK1Wnz/9uhBVKpEtGlDODkRJhOxZo0YC791a6rt7Xny\n5EmSZEC+ANrAhuEI5xAMoTe8mc8nLwMCfFi3blX26vUVw8NlmfM9cybo7e3Mhg1rsnVr0MoKtLMD\nDQbQZNL8JV9dunQp3eXuDEQgXeBCb3hTgMBjx479/cXLRfyrheT09HR6eXnxypUrTE1NZZEiRV4x\n9t+7d2+mYLRlyxYGBwe/QudTZ84fGsXKlSMmTsxixkOG0N3Pj05eXsxbsCCXLl2arfzWrVupL1RI\nzKgXG0ts2ECZSiUygUmTxGtRUdTY2PDcuXM5tnnr1i3a6m05GIO5DMtYX1GfZYqVybGso5Ujl2N5\npkDdGq3Z+6ve7NWrO8PDq3HixPE5pkz+VODn9wWBKAvTzqBGU4MzZszIsezu3bvpHxxMJy8vtunc\nmQkJCW/d/r59+5hfnz+b1slV68o+fb6io6MV7ewM7N+/N9PT0xkfH0+tVslVq0TGvHUr6OKi5aFD\nh7LRjIqKorOTkfZaHbtKOzEGMWwhacECXgXYokELLliwgOfPn6ej4Mid2MlYxHIndtJN6/bBmfIL\n/Fv40pvw4U2bNrF69eokRY3ff4kPb9u2jcOHD6eTuxNhQJZj9QhQ4a74S6fjv4MDBw5w2bJlnDZt\nGnVffCHyymbNiFKlRCFp0yZq/P0pFwRi/nzRuWvqVLHc5MnU2dhQIpMR27eLdapUIRYuJAYOpN7W\nlufPn2elmjUpV6koVyrZrVcvJiQkcNjIkazXtCnHjBuXqWncvn073e3dKZfIqZaqKZPIWLxQccbF\nxXFQ30F01jjTS+JFW6ktK5apyAolKrCptCnboA3zSX0ol4OlSmUJvdu2gQqF9LXOY506tWHHjlnl\nx40DixXzy3Qc/ztZ3U6ePEmtlZaSEAlRDhSMAvfv3/+P1uTJkyfZTiGTkpJoZ+dGYC6BfARGEvid\nMtkourj4UiqTZTla7thBKBTEsmVE586Es3NWZtPYWKJ6dZrc3OhZuDBbt2tHVx8fyhQK+gUG8syZ\nM2zZrh2lCgUhlxObN4vCcMGChJ8fMWyYeCro5CSuc9OmhEbDPn36sHal2pRCytVYzfqoz3IoR5NG\nYOXKcs6cCXboIKXRKLBZMwljY8EhQ8A8eUBBAH1987JSJRldXcG6dcUEUIUKydi2bYts82I2m7lw\nwULWKFeD1StUp7VgTXvYszqqsxM6sZC8EGtVrvXBEz7lBl/6YDbJBw8ehLe3d6Y9apMmTbBu3Tr4\n+flllilZsmTm5+DgYNy4cSNHWiNGjMj8XL58eZQvX/5ddPk/CU83Nxw7fRoZxYsDABTnz6NaaCjm\nTJ+eY/nk5GRI9Poshy+NBlKpFKkZGWLgYgBwcoKiQAGcP38e+fPnf4WGk5MTtsRsQdfWXbHg1gKU\nKFkCPy/6Ocf2XJxdcDL+JCqjMjKQgbPCWbTN3zZbvOVPGQsXTkdoaBgkklUgbyB/fg3atWuXY9nS\npUvj5P79udp+kSJFkGpIxZLEJSidURox8hgkyJ/jp+UzMH58OpRKYNy4ObC2NqFJk+bQ6eSwsRHj\nm6pUgLOzHA8fPsxGs2nTpihbtixKBpbEWfyOMRyDM6oz2L1tN7y8vAAA586dg0wigwTi70wKKeQS\nOTIyMnJ1fG+KXbt2YdeuXR+k7bfBm/Dh9evXo1WrVgBEPhwfH4+7d+/C4aXEP8Cnx4cnTp6IkZNG\nIil/EuSpciAZwBEAgQAuA4rHihwdiF8HkliwYBEiI5dBENQYPrw3ypUrl3k/KCgI0dHRWL58DVIs\nvno4cwZo2VJ03lMqkZQvH6T37gEeHsDQoaJPSGoq1DIZ+vXtiyWrV+PiihXgwYPA5s2ig7W7O3j4\nMNp/+SUOAkhv0wY4eRKzFy6Et7s7hgwaBJlMBqlUilu3bmFgr4G4evEqKlSpgPWr1sMv2Q8HcRDH\nTh/DF/5f4MnzJ1CkK+AABzzjMxzafQjJkmT40AdaaHFLdRnmFNGd4QWSksT/X/ZVuH37Ni5duoS8\nefMiMLAEevf+ERpNBrRa4Icf1Eh+egVbv/wSMqkUIwcOxK+HDsHT0/Mv5/n/xv8fEoMTwZKiX0Oi\nIRHDRg/Dtg3b/qJmFtLS0lArvBZ2bt8JiUSCGmE1sDJqJdRqNWJiNqFatXq4eTMVwDAAQEbGUDx5\n8hPcfH1xbdMmsF494PZtUXfh4AD4+AAJCYBUKsZ3PngQ+O03POrbF4/s7HAnMhJfNmiAiWPHAgDG\njB+P1cePw7x2LTBmDNC/v+j7c/UqMH68aK+ckgIEBQEv4tIbjZj9zWx0ZmeooMI93EM3dMN93EdL\nc2MMGEDIZECBAmbs3SvBpk1KmM0p2L5dJD97NgBcxb59oj9+T9GvGiVKZKBu3WWYPn1uZkjAmdNn\nYsqgKWid2BobsAFVUAXN0RyLsRh7sRfxVvFYuWHle0/49E748NvL6v8MK1euZPv27TO/L168mN26\ndXtt+UmTJrFDhw6vXP+AQ/hPIC4ujo7u7tQHB1NfrBjd8+V7rS0xKaZ6tnF2prRrV2LOHKpq1GDJ\nChWos7YmvvtO3EGvWEHBzo6nT59+6/4dPnyYdgY7hhhCmE+Xj6GlQ3O0Xf6UcePGDS5btoybNm1i\namrqe2v36NGjdPP1JSQSGtXWdLN1o38+f5p0ag4alKUVmjQJDAkJZFpaGn18XPnllxIuXw4WKwYa\nDBLWqVM1x5BuDx8+5MKFCzl//vxXNEnp6eksWbQkw1RhnIRJrKusy8ACge91/H+GfwtfehM+HBYW\nxj179mR+Dw0NfSUs1sc03r179zLA25s2Wi3zu7jQqNHQqNGwd/fur9VsnT59mtOnT+eSJUuYnJzM\n1NRUKlSKLPOKYaDSpKRKryIASjVSyhQyWttbs3yV8hw2YhivXLnyp8fSs2dHUhB8CawjsJCCYJep\n4UxMTKSrqy8BJwLehEpNRLQiihUTU8PHxoqmUjododUSQ4aIocLat6dcp6PG3p6GcuWosrKirYsL\nIZOJ9soxMcTQoZQ7OVFrb0988QXh6Cjatjo6EoJAqVxOpSBw9Nix9HT2ZHN5c07CJPrKfekNbxZH\ncW7GZq7DOppgogCBfvBjAAI4H/M5EROpgop5kZdDMZQhQQIdHUEHBzAsDOzbF3R3B5s2bZD5fC5d\nuoRWVhoWKmSgIEio1YIlSoABAaCzs4SCSsrBWTZkHCWVslXDhm+0/tVqVyPCQQwFURuEP+hXxO9v\n/YZCKoYQ7iC+BlERhADqbfX8bvp3jI6OZs2atQgYCSRauphIlcqBW7dupbOnJ7XOzlTqdHTIm5fy\n5s2JtWtFLbBeL/5ptUTz5lla5QULaO/untl++Ro1RPOLyEhxrfz9xTpOTkSZMoSnp6hRbtcuk4ay\nZHl2RmeWREnmRV7qoGMZlKGrwpVKpYTr14MtWoBGI6jRgEFBgfTwcGTHjmBEBFitGhgTI2qPCxfO\nfgqgUsmz+Xz4uflxBmYwFrEMRzg7ozPnYR67oAubozkL5C3wt+b7XSE3+NIH0yT/nR1GbGws5s+f\njz05hKv6jHcLFxcXnD9xArGxsZBKpQgNDf1Tz2WTyYR9u3ah01df4eqvv6J0cDBmfvMN9u3bh/rN\nmkGeJw9SbtzA0EGDULBgwbfuX1BQEE7+fhKbN29GQkICGjZsCOWLkEn/EeTJkwdNmjR5r20mJCSg\nUs2aeNS2LVChAp7s3g3MmoXnN56jaGpx3Ly+B7CkGblxA7C2toFcLseWLbFo0qQO5s8/g9BQoE0b\nYu/eaFSoUBLHj5+HWq3GrVu3EBcXBx8fn0wN5v9CJpNhS+wWNG/cHBN2TYBEJkGz8s0+p6r+m3jT\n+eL/hLn6GOf5+fPn+OWXX9CqUSPMSUzEKQDLExKgAOAMYPb06Vi3bBnUJhMeXL+OZLMZNno9VFot\nbt66BQ+zGY8ADP7qK/x65AgIAgYApwEcAVJTU1G3Ul3sPrAbD4o+AE4CjzWPsevGLuwaswujx4+G\nSqFCaLkaqF8/DGFhYUhPT4eDgwMSExMxduy3SEycA6ACACAx8S6+/34xgoODMXHiN4iLuwFAB2AI\nkOINRDUF1PGQnj0L5enTSD5zRow4ExUFfPONqF3WapFuNiN99mwkmUzA778jrVs3SAUB5t69RS3m\n3btIr1MH6atXAydOiFmUWrUCliwBypSBuW9fpD54gP/r3h35k1wQkR6B0ziN4PRgbMRGdEInaKDB\nXuxFKsRToDu4gymYAg/LP3/4Ix7xcIELzv2Rgf5DRYXnnj1AdDTg4OCI1at/xurVGkREtMTKlT9h\n6tQkHD2ahGfPxGiiY8eKB5BpaUSd2kRey7qaAdw0m7Fz+3Y0btgQPvnyQSaVokrVqihdujQePXqE\nX375Bd+OHYtzly4hOSUF0mTAvBmANQBb4Nwf56Az6RBSOgRlSpRBeno6vLy8ULx4cTg4OODQoUNI\nTEyEt7c3du/ejT0H9gC1AKwDcAtAFeDZ7mfo0acHIFjoymVAegkALQCsgZubE6pUqYKr58/j+vXr\nuHXrFs6ePYt5S5bgTEQE7BwdcZdE6rBhwO+/i9lMX+DZM6heymjl7uIC+blzSI+JAdq0AUqWFNe+\nbVtg8mRg1SoxCsaYMUBAAGBrC9mFP3ALBtzBHXyP73ETN3EQB3HAfAAtIpqiS5cVSE1Nh4ODmNV0\nz56juH9fgdu3AbMZ8PMT5794cVGr/P33YgCr9es1qFOncrb3/svPfzmUw0AMRBSiEIpQXMEVPE94\njsTExNcmo/lX4e1l9X+Gffv2sWrVqpnfx44dm6PTyIkTJ+jl5cULFy7kSOcDDuEz/ibu37/P3bt3\n8+rVq9munzt3juvXr//HCTzmz/+eVlYaFixopJWVhitXrsiN7v4rkJyczDVr1vDHH39kXFzce2v3\n2LFjNPj4ZE8MU6AANQoNIxFJG6WO1SspGFZTQoNBlS35y/nz5+nkpM2MQBIdDXp4aDlv3jxOmTKR\nRqOaBQoYaG2t5ebNm1/bhwMHDtBGsOE4jOP3+J5BQhD79uz7Pob/l/i38KU34cOdOnXismXLMr/n\ny5ePd+7cyVbmQ4/3xIkTdDIaaZLJGArwGcAggDYAdwBsDLAyQH+ABstnjeW6HqA3wNqWOq4AHYxG\nunm5UeIrIbQgNBD/N0GMcOElahfhCkIBoj2IFiD8QEhAQENAIKAmoLB8tiawNZuTbefOPUiSDRq0\nIqAkUM1ybz2hsyeGDycGDKBCp6PMaCSsrYkmTUTN4ujRYqQaX1/xGVy1StQ02toSAweK2ma5nPj5\nZyI6mggMJJRKokQJUYus1RJRUWJ0i+nTCQ8P5kVe+sKXvvClPewpQGBbtGU/9KMeelrDml3QhVpo\nOQmTMn0RSqAEtTIt26ANa8urU6OS0NoaVKtlLF++NIOCVMyfH5RKQaUSdHFRMDoaLFIEtLUFPT2R\nyQ927AAFDRgIMA6gH0AHgNYAdQCrA2wJ0FouZ9ngYKplMiot95QAjQA9ATawrLVEYlkXpWWtDCBK\ngLABIZcR0BIwvbReWsIaRF4QaosmWQZCDsLZoqEeAaIJCKVe1PzDhlptHkZEdOK1a9fo5uUlzrXJ\nREilhFRKLz8/qh0dxbVauZKwsRHXxMuLUqORo0aN4v79++lRoADlajUlgiA6+o0bJ66PXE5Mmyau\n3Qu+O3gwoddTsLZm1bAwapVaFkOxbD4iBpWBd+/epbu7LQVBjFghJm0CnZxErXKhQqCHB7h2rag5\nLlVKxYIFPRgSEsj+/Xu9Yks+Y/oMugvuHI7h7IZu1EDDqZia2WZpoTTnzp37IVhBNuQGX/pgnC0t\nLY2enp68cuUKU1JScnQYuXbtGr28vHLM+PMCH5o5f8bbYfK0adTY2tJYqhQ1NjacOWfO36ofFxdH\na2tNZsa2yEjQaNTkGAnjU0NCQgL9/UtQpytDna4xdTo7Hjhw4L20fePGDaqMRvEFHBtLrFtHjcnE\nhrUbsrSmNCdiIiuhEjUKDaOjo7PVvXLlCm1s1Ny2Ddy5EyxbVvSmdnfXUBDAZcvEtfzuO9DaWsuk\npKQc+zBo4CBGICLzhbAQC5nXIe/7GP5f4t/Cl96ED7/suLdv376PznEvLS2NjoLAUIBagPkB+gJ0\ntAjAKywC8R+W+xUBqgGWA+gFUGEp7wBwFcBtFkFZZS8XhSQ1CHsQPSyfZSBsLZ91IJxAeFi+l7YI\n0AqpRejSETAQcLYIzs4EFhCYTJlMnxmNYMKEyZRKHQn4iOEchdrE119nCUMDBlCqVBING4rH9GXL\nio5b4eGEWk3MmEE0aEBUrSoe5/fsSaxfT6hUohA8YgTh4yMK0Xo94eEhCmBDhhBBQSItvZ4qtRWr\noArroi4LoABnYzZ10FEPPaugCouiKL3hzbqoSx10bIM2DJGEUA0126ANC6IgtdBSo5GyTRuwXTtQ\nrwcdHcWsph4eYNGioqBcuzZoby9+9vAQHcWqVBGvaQVx06IBKAfoAVAFsJJFAHax3PMDWNoiQNtY\nBGVPgAmWncg5y/pCbdnUyEH0swi5gy3X4ExAbxGUTQQiRIFaClFYVoOwstQt9ZLzZn/LbwF5CHxF\nIJpAMUKtETcgVauKoTY9PIiKFcWoFEql6HS5ejXh6iqux+jRRI8eFKysqLGyEtfW3Z3o1o1wcxPL\nFS0qmlk4OoobpfbtRRqdOlGq1VLj4ECpWk2TszPVEjWHYzjXYA1byFswn0c+Tp8+nQUK5KW1ddZm\nxM5O5LuLF4Pt24MFCogbCrUazJPHwGLF/KlUyqlSydmpU5tMB/jExEQmJSVx8qTJrFa2GhvUakBB\nIXAN1mTy4ibyJhw7duwH4wkvkBt86YOZW8jlcsyYMQNVq1ZFRkYG2rVrBz8/P8ydK2b26dSpE0aN\nGoXHjx+jS5cuAACFQoGDBw9+qC5/Ri7jxo0bGDJiBJLnzEGSgwNw6xb6dOmCBvXqwd7e/o1oXL58\nGW5uSri6ip4hPj6AySRHXFwcjEbju+z+B8fcuXNx4YITkpNXA5AAiEK7dl/h1Km977ztPHnyoHfP\nnviue3eYAwMhPX4cHdu3x7hRozCw90As3LQQNrY2iJ0Zi+Dg4Gx13d3dUb58JQwdGgODIREPHwI/\n/QQcPZqEn34CHB3Fcv7+gEpF3Llz55WEMwAgaAXEK+IBSwKyR3gEQfMJHO+9R7wJH65RowY2b94M\nb29vaLVaLFjwcSUImDl9Oh4kJuISgEQAqRANGtZaPreDmDXrFMSj+xMAjBCtKMwAPAA8BTAYQH0L\nzR8ANDSnI0UBIMlS6HeIR+20/EksDTwAIAUQASCP5d4iM3BVABAPwBHAIwAdAIQCWA4AkEgy4O/v\nDwBo2rQRli1bg+PHTwMoB/ApkJYva5DJybAyGPDo2jWgalVgwwagRw9g6lRArwf69gVkMiA0FPDy\nAhYsALZtE71jp0wB1GqgcGEgIgJo1kz0pBsyRPTY8vcHjEagWTNIfzsC1VEVYhGLvugLH/hADjns\nYAdPeOIwDqMSKuEETkAJJXY47ICrqyuaH26OFmiBCESgv7o7vmh7Gg0aiF3/9VcgLk7Mi9GqFTBx\notjcjh3A9OnA4MFA6dLAgQOAXC76oV25DMybByhTgQzLOikA3LRMdWkAGwAEA1gBsYwTgMcACluW\nCQDyW9Y+LRWA1nLjhdWAAoAeQOIjALYA7gCoCMg3Af4AjlrWMg3AC3/DswBKWOrtBSATgAw1gEmW\nuqcAjQA8eQI8fixmzrtyRZznxYtF5talCyRqNSiTiTYpPj4AgMRdu0RnvL17RZMaOzsgPBzytm1h\nvnQJ5lGjRNH/8GFg82bIoqKg0mqR0qABkgBgzx48atkSOHIEkzdOgVwlg4urMx4+uo5Vq/rixo00\npKUBc+cCNWuKpGxsABcXoHlzoH59oEEDoEYNORITn+LixVMYPx744w9g69bFsDOtQsrzdKQwBQoo\nYFAZkCpNhX8hf2gztJiFWeiBHohDHKKV0fiq4lf4JJALwvoHxScwhP8s9u7dS2OhQtljffr45BiH\n9XW4ceMGra01XLBA3B3Png1aWQmfbPKQl9GrVz8CY186vv2DtrbvV5P6yy+/cNasWYyOjubFixd5\n8uTJN3KeS01N5eTJk1iggBc7dxbXbvFi0alk6VLx+7RpoMmke23YqNu3bzOPbR7WlddlB3SgncaO\ny5cvz+0h/iP81/jShxxvu6ZN6QSwhEVzXAJgD4DhANtbtMKlAboDzGc5gjcAFADmAdgZoBXAMS85\niq0GaLCxaBGlIIwgylo0x5VAqCzfX2iZFRbN4gstYzFYNMhKAi4Wk4u6Lz2rR6jXO5AUtfN6vT31\n+hrUaLzo5ZWfjRo1ocJgEDWQfn6ERkN5SIio8f3iC1EbXLMmYTQSs2eLx/peXqKphZOTGC4sTx4x\nnn3+/KIG09ZW1D62bCnW27GDKFdONN/Q64mICEratKcSKpZDOUYggquxmkYYORRD6QAH1kZt6qCj\nFFKGFA/ho0eP+GXHL9ke7TO1iEU1+fj111mOX82aiWYWdeuCOh3YvTvo7y9+nj0bjIoSQ5ApFODq\n1Vn1QkPF9XK3aIrVlvXNYzG3sAdoesmERvPS2u4DaAb4nWWdIbOYzBhBVAExAKJznxwWbb+DxRzG\nl4BENKmwBuFiWX+t5bvJQksBQim11PEiUJGQWxEh5QgXF3F+AwJEc5iqVYmQEPFv/Hjxmskkaojn\nzMl6/+l0Yj25XIxzbbkuLV+e1cLCqCleXHQAXLaMgrc3Fy5cSKODgxgXW6MhlizJrKMKC+OkSZMo\nCGK+AKNRdNrz9RXNK6ysVPTz86ZaDfbvL/JcT0/xLzYWLF0aDA8Hra1BPz/QZAJVSrAnetIa1pmm\nNn3Qh0YYuQZrWB7lKUCgGmrOnDnzg/GDl5EbfOlfz8n/ay+jTwkPHjyg9uWoF998Q53J9IqAu379\netasUJO1QmvlmPln8eIfaTRq6OtroJWVwLVr176vIXxQrFu3jlqtL4E4AqlUKtsxPLzle+9Heno6\nG9dtTFuNLd117izgWSDHaBU5Yd68eSxSROCWLeIxYMmSEqrVUubLZ6DJpPvLTE+3b9/m8KHD2at7\nL+7atSs3hpMr+K/xpQ853vFjxrCkUkndSwKvI8AQgIssR/X9AboBjLEIzCaL8GQN0BlgfctR/RiA\n0wEa5CCKgihsMaFQWoQjpeWaLYiSILwtgpa15XofEBGWclBaIiC4Wv43EGhEYASlUjv+P3v3HRbF\n9fUB/Lu7bIeld1QUBbugYFewxd6IBY2KscZuiMGuaIoajYk/NdEYFbvG8lpBUYpdE0tM7F0xig0U\nEal73j8GV4kiEJZdyvk8T54wO7Nzz7Dr4ezdO/f++utyIiKqUKEmAZuziuc0Uqsb0+rVq6njxx+T\nxN2d0K6dMCQiKkoocnv2JIlCQWJbW6Go8vcXCiuNhtC5s1AwqdVCMW1jIxRtvXsLX/erVMJxKpUw\nb69MJhTVVaoIX+N360YiiGkd1pEd7KgxGpMCCvoG35Af/MgKVqSAgvr166f7MHz69GmyUllREIJo\nOqaTtcyK7OxkNHcuqF49oSiztRX+r9EIBduAAULxZW0tFGmBgSKSyYSC+XWR3KgRaGRWYazJGk7x\n+v9ub72GVgCtyfowJMt6TA6QBMLwGphnvR7mWcWtddZrJkPWkBi7rELZRhh2IVUKhfQwEMzeKorV\nWePNTUAiqYSA/lnPL09ANYKirPDhxMKCYG8vDHWRy4XhMEqlMH91eLgwM4VaTRg+XCiUP/2UULGi\nMHbZyUkoruvXF4bQjB1LYqWSbt68SZ8OHUoylYpUFhY0bcYM0mq1VL1uXaE9M7NsRbKsUyf6+uuv\nSak0oQYNQF98IQynqFtXKH6VShFVr16Rypa1I3NzKSmVwuwiHh5CHm7fXhgG4+YmDIcbPFh4DZuK\nG5ELXN58IIIXlUd53XY0oslJ4fTOkC1j4SKZSt8fo5ImPDycTC0tSWVrS2bW1nTgwIFs+3fs2EF2\nSjuajMk0ERPJRmXzzjFEwk2Bp0+fpvj4eEOFXiR8/fVskkqVJJHIyNe3nVHGYi9evJjqqOrQPuyj\nKETRJyafUOfWnenhw4c5Lon7WmZmJvXr15OsrBRUtqwpVa1ans6ePUunTp1675LZxUVpy0vGvN5X\nr17RR40akbVYTL8CFJdVJFUAaHDW+FWbrP+3BCgeoB+ziisruZyqikTkC5C1REIeZcpQWTsbghgk\nEotIYikhTABhOAh1QSpTFVnYW+gKJ4mphMQyMcnN5CQyE2X1MIIANYnFJmRn50AmJjYkFpuRubkV\nublVIju78uTg4E5t2nxMd+/eJaXSgoDHul5mkWg4tW7dWlhIYtcuYWxqu3aERo2EoksmI5FCQUM+\n+0zYtrISCt86dYQiKTJSuHFPpSIMGCAUbK8XHdm5kzBsGNWoU4ekFSsK276+wnkmTiT06kUKUxvq\nhE60BmuoARqQDDJSQEHlUZ7KozwNxmCqLa1NbZu11f37PnbsGPm39ae2TdvSp58GUp061cnCQk5S\nKejXX4Wi19FR6C1u3FjooRw4EFStmrCIhYmJiBwczMnNTUETJoB69BB6Li0A+g6gkKwa+XdWAAAg\nAElEQVQeZHMTE9JAGD8+J+sD0UdZH3ZqZBXIU6dMoVu3blGVmlUIIpBIJiKNjYas7KxIZaEimIgI\nYj8SpuJrToCGlEpLKlu2Arm6VqaKFSuR2kJNUpWUpAopzfxqJh05coR++eUX2r59O6WkpNCdO3do\n+PCx5OTkkdWTPIcAC4Klg/B7dHcnSKUkNjUlk6zXDHv3EsaOFVZKtLIi1KwpFMMKBeHLL4Ux415e\nhKpVhfHlHh4kcnAg/5496dq1a++d2nT16tXC+OV+/YTnf/UVYfBgMrW2pjt37lDNmu5Urhyoe3dh\nys2ICJCPj/BhpVMnYaW9li3FVKaMiMLDhZ7kLl2E3n6RSLix8vUY5k2bQFKJmFRQ0SqsomhEkxWs\nyBa2NAqjaAM2UH/0J3tz+xI1FWeOZxgxYsR7v7K+ePEiNW/evMAN60tp+2NUEr1OOu9LAq2btKZp\nmKb7lDoO46h7hw/Pl3nq1CmaN28ehYaG5vhVfUmSkZGR481thjBs4DAaiZG612g4hpFMKiILCzmV\nLWufbWaL99FqtXTr1i06f/58kUmuBVXa8pKxrzczM5Pmz59PLgoFhWX1KD4EaBxAPQByFonI29OT\nGtSqRUqplCxVKvru228pMzOT1qxZQ1OnTKENGzZQvSb1SFlFSWgBUjopydPHk5SWSjJ3NyczKzM6\ncuQIEQkrsSUlJdHNmzfp0aNHlJqaSpGRkbR9+3baunUr7d69+52/nxkZGVS9ej2SyUYRcIokkhBy\ndq5E9eq1IIlkKgFaAo4T5Eoy+egjoXd43z7CqlXCV/F+fkJv5PTpBBsbauDrS6GhoWTt6CjchKdW\nCz3N0dGEpUt1QyhgbU1o1Uq4gS88nFCtGjX29SUMHiwc27ixUIBbWwvzKyuV5FXZi1RiFbnAhVqg\nBXnBi1RQ0S7s0q1w6Wrq+s5N9ePHf0FVqqhoyhRQmTJC7/HrnmF3d1CDBsJsFrNmgXbvFn6eOBEU\nFgb6/HOQmamMXNRiGiIFjQGo41tDYF4CJJNIKDExkTp16ECWYjGNe6sHWSaR0LSJE4mIqKpnVRK3\nFBOmgzAUpLJQ0fnz50mr1VK3br2yeoBHkEjUlezsXN+Z+1+r1VJcXFyueTU5OZlq125AgC8Bxwii\nsgSlmqBQkompKWHmTOEDi1otfIhp1kwYMrNokXBzZYUKhMDANzNelC8vfGAxMSGJQkHuNWuSTK0m\ntbMz2ZYpo7vRk4goISGBdu7cSQp7e+H1VamEbxbUatq5cycREd2+fZvs7S3JzEwofoODQZUrCx9Y\nXhe///sfyMlJ2N6+HdS5M8jcXEQWFipq2vTN6xcRIQyb8YAHKaGkaibCTZojMIK84EU2sCE7kR19\n9dVX/+0fcSEo1CL566+/pvLly9PatWuJiCgpKYm+/PJLcnNzo23bthW4YX0xdnJmhatt07Y0BVN0\nBVgQgqhHxx66/WlpaRQWFkabN2+muLg42rBhA9nYKKlbNxn5+KipQQOvUre4SF5FRkZSzQYNyLVa\nNRo/efJ/Xr57wYIF5KP0oQhE0HqsJ7VCQr/8IiTWyZNBZcrYfXCRhZJIX3lp6NChxWKmlqKSh9es\nXk11KlUia6mUpopElArQEYBsVCrdFJM5LShy4MABMi1rSpiWNa74S5CJ3IROnTpF0dHR9OTJkwLF\ndv36dVKpXLKKYaH202h8aNu2bVS5ch2Syy1JpFCS6PXiIc2aCeNXf/hBKIIXLXqzHHFQEOHTT8nU\n2pouXrxI/YcMIZFcLiwOUrkyKS0tKeCTT0jq4kJo21Yo0JRKoZCSSmn+/PmkqlNHKLo1GsK2bcJw\njn37SNy7N82YMYPkJnL6P/wfjcZoao7mZA1rikKULhfXNq9N+/fv112fVqsltVpOmzcL//abNhWK\n4KCgN1OOVa4sjEVeuhS0cKGw/boIi44GOTpIaFbWL2dDVs//61/WfYCUUqmu9/rIkSMUHBREM0NC\n6PLly7o8n5KSQmJJVoGcNUZc7aOmX3/9VRfroUOHKDg4mBYsWEBPnz4t0OuamppKDRs2z5ohw5kA\nFfn6tiDTli2F19HHR5iqbeBAYeo+U1PCvHnCByArK0KfPm/GJf/wA7lWrUrPnj2jyMhIUtnbEzZt\nEvZNmEBl3N1Jq9XSiLFjhSnixGJh6WsPD2Hp6qgoEnftSl0DAoiI6MKFC2RpqaTmzYUe+3btQB07\nCsNc9u0Tfudbtwr7WrQAhYSAGjaUUvv2Len48eOkVIopOBg0YQKoTh0xVajgRMOHD6fAwEBytnam\nJpImZAYzqo/6VF5Unhp7Ny5SHVOFPtzixo0b1K5dO2rSpAm5ubnRhAkT6OXLlwVuVJ+KSnJmhWPP\nnj1kq7Kl8RhP4zCOrFXWFB0dTUTCp/iGtRtSNdNq1NSsKdlqbMnWVkM//yz844+KAnl7q3Uf9Ngb\nZ86cIZWVlbCq05IlpKpdm8aM+29zDKelpVHn1p3JUeVITgon8qwlzvaHz8pKkecxyiWFvvLSd999\nR25ubkX+PVzU8nBsbCw18fIiiVhMTpaWtGvXrlyfs337dtJU17y5+W46SKaWfXCF0fy4d+8eKRTW\n9GaVtnQyNXWn33//nbRaLT169Ig+6tJFKKiio4UiqlkzUtjZkVWZMiQaOlQYO/zdd7qiStS3L43N\n+nebkJBAR44cob1791JsbCxlZGRQJ39/oUe5ZUvha/yxY0nUoAF51q9PrTp2JLWLC4k0GuGGsqyh\nGqq6demnn34imURGEYigtVhLGmjIBS7UEz1pLdbSaIwmJ2sn3ZColy9fUnp6OimVMtq+Xfh3/9NP\nwnRiVlYguRxkYgJq1MiHVCoJVaoE+uorYQqyPXuE47dvB6lVEuollZIWwlzXTgD1F4noZ4BqqFS6\nnuIP0Wq1pNaoCUOzXsepINOyprRnzx69vI7vU6tWIxKJfsh6XZ+SXO5CiipVhKEvdeoI07y9LoRr\n1hRek4AA4cOPubkwLrl3b4JGQzNnziQi4X4NVfv2b54XFUViExPatGkTSaythQ8/Bw4Ivchjxrw5\nbtkyKltFWGFwyZIl1KGDiqKjQV9/LbwWFhbCWHEfH2E1REdHYQhMly7C9HxmZia6v7Hh4eGk0UjJ\n1VVE5cubkLt7GbJUW1JjeWOygQ1FIYp+w280BVPITmFHv//+e6H9jv8LfeSlD04BJxKJQERIT09H\nZmYmqlatWjJWUGHFRrt27bB662osW7AMIrEIW77cAj8/PwDAL7/8AvElMf736n8QQ4wwhGG+ZC7K\nlROeKxIBZcpk4OnTp8a7gCJq+44deNW2LdC0KQAgeexYrJs0CT/OnZvvc0mlUvxf+P/hwoULOHPm\nDMaPH4akpGSYmgqzH6WnCysxsvz78ssv0bt3b3z++edYsWIFhg0bplvtSiQSwd/f38gRFk0uLi44\ndOYMtFotxGJxnp7TsGFDiOJEwtRfroD0lBTVqleDtbW1XmJydnZG+/ZtER7eDsnJPaFUhqNWrXKo\nXbs2RCIRbG1t0aNjRxydNQsv3d0BmQyqJ0/QtU0bbN2+XVghTyYDlErdOUmhQGpqKgDAwsICjRo1\nytbmjq1b8c3s2ZgybRrwf/8HqNWgjh1xffhwfP/NN7CwsMChQ4cweeZMiOrXh+j+fVTRaDBgwADs\n2bYH8w7PQ7fUbmiLttgj2oP90v2IEEegerXqiFwbiYyMDPjV98PxU8chFovhU88LM2f+jYCAZNy8\nKYZKpUL37gGQSqUYMmQYatSogczMTISETMaaNesgkz3D8OHp8PEhnDolxYCBfbFt4xaUefkcploJ\nZObmMO/WDacTEhDcpg0+6dMn19+zSCTCimUr0H9If4jdxRA9FMG3ti/atGmjl9fxfa5c+RtEO7O2\nrJCe3gNO6TsRP3kykpVKYRo+AEhLg/L+fUyfPBmHTpxABICMMWOEFRQdHQGxGEf++ANarRZubm4Q\nnT8PJCUBpqZATAzMLCxw9uxZZBIBAQHCtH8VKgDHjwMdOwISCSQnT8K9YkUAgI2NDe7eFUOrFabZ\nc3AAxo6V4s8/CYAW//xjhqSkVxg9Og22tkKIv/6qxcGDB+Hn54ctW9ahbVtg6FACkIE5s2NhcdML\nAzMGYgImQAstbGELP/ghVBIKxVurBpYYOVXPM2fOpAoVKuhWWoqNjSV/f39q2rQpnT9/vsDVub58\n4BKKjXPnzlGPT3pQ285tafPmzcYOp9gIGhNEQzBE9/XfaqwmC42cunSR0q5dwlgra2sVnTt3ztih\nFjmzZs0iaceOb3ofFi4k50qV9HLuL74YRU5OavL11ZCVlZLWrVunl/MWJ/rOS6GhoeTs7Ez9+vWj\n/v376/4rKkpCHiYScrFnPU+ycbKhdp3b6a0X+bWMjAxasGAh9e49iL79dvY7Y161Wi199e23ZG5n\nR2bW1jTmiy9I9Xqatx07CC1aCDMgzJtHmDKFVFZWdOLEiQ+2+eDBA2HhnwMH3ky16e1N4eHhumOu\nX79Oy5cvp23btunuC3jx4gUN7jeYqparSi0btnzv3/1GdRpRJ3SiAzhAG7GRnJXO1L9/H/L19abu\n3TvmuIqqVqulYcMGkpmZjCwt5eTgYE2rVq2iJk28qWlTBY0YAXJ3l9OwYYPy+yvWOX/+PC1fvpz2\n7NmT6w3EBeXhUYeERWKIgCRSq71o/fr1tHTpUpo+fTpNmDCB6jZrRg1btdKtIpqZmUmNW7YkkbW1\ncONe1rcH6ho1aO3atfTkyRMq4+4u9Drb2xNkMlK6uJCZpSWJrKwIwcHCc/buJdjakszZmTQ1apBj\n+fK6VW3T0tKoefMG5OVlSh9/LCdbWxWtWbOG0tLSdGPmK1Vyoe+/f/Ptq6+vkhYtWkRERL6+3vTd\nd2++FQwJAXmpPCgSkeQDH/KBD7VCKyovKU8+NX0K/fecX/rISzmeYfTo0ZSYmPjO42FhYeTh4VHg\nhvWluCfnixcvktpCLUw50xWkslXRihUrjB1WsbB582ZyU7vRNmyjAzhAnWWdqXObztShQ0tSKqVk\nZaWmevWq06BBfQ26ZHNx8ODBA7J2ciJJt26E4cNJ5eBAoaGhejv/yZMnafPmzf95qfHiTl956e+/\n/6YmTZpQjx49ivSQleKeh4uqBw8ekMLSMttX7vJKlahc1apUv0WL9870829arZZ8mjQhWceOhCVL\nSDx0KNmVKVPgse4nT54kBRT0G37TdVT0RV+aNnVars9ds2YNVamipt27hcKsXz8J1avnSR4ephQZ\nKRRkO3eClErpe+uQoubPP/8kS0snMjevRyqVM33yyaAcx76/7dWrVyQ1NX1zw2XWEJrp06dTfT8/\nkvr7Ez77TBiHvm2bcExQkPChR6EQxjtXqECVatSggwcPUkxMDCUlJWVrIy0tjdatW0fz58+nP/74\n450Ydu3aRVZWSurWTUq1ayvI2dmOVq9eTWlpafTFF6OpeXMF7d8vjGH29pSQq8SFdmEXLcIiUkJJ\nviJf6iHqQVZKK9q3b5/efqf6UKhF8vu8XovbmHfS/1txT86ff/G5MCn963Fw/UEVq1U0dljFglar\npakTp5LcRE4qqYp86/nqbsIYOXIoeXqqaMYMUJ8+EipTxq7AN2iUNP/88w8FT5hAg4cPp7179xo7\nnBJFX3mpcuXK77w2r/NwUVLc83BREx8fT0eOHKHLly+TlaOjMLVXdDRh1SpSWlnl+8NnQkICBQQG\nkmu1atS8fXu6ceNGgWP8YuwXZA97moEZFI1oikQk1RLVoiVLluT63HHjPqdBg970UK5dC7K21lC9\nehrdYwcOgMzN5fTo0aMCx2oIz549o0OHDulm0cirur6+JB4yRHh9d+wgtZsbbdy4kSQymdD7P3Kk\nMP/16w9K+/aRSCKhHTt20IQJE2jdunXv3CyXmZlJV65coYsXL+bppumzZ8/SgAEDSKORUceOSvL0\nNKWmTetSQkICtWnjRyqliNRyCTWR1aWP8BFJISUTkQm1kbTRfUD6Ft+Sp7tnvn9vhcngRbKnZ9H6\nBRAV/+Q8aswoQrO3iuSBoPKVyxs7rGIlJSUlW69IZmYmyeUmtGPHmyTs62tKq1evNmKUrDTRV156\nX4cE5+GS7fjx46SxtSXzGjVIaW1NAX37kqWDA6mdnEhhZkYr9PiNT0FMnjSZmombkQUsyA9+5A53\nspRbvnd2g6tXr9KRI0d0N/otXbqU6tRRUUSEkJ9HjRJRo0a1ydHRikaPFtGKFaAuXWTUuLF3vgrO\n4ujWrVtUzsOD1E5OJDM1pTHjxlF6ejpJFQrChg3CTZXlyr1ZhS8khMp8YGhccnIytWrSihxUDuSg\nciB3V3cKDQ3N9ZuDcuXs6IcfhNcjMlK46X3VqlWk1WppwYIF5KB0oK/xNU3GZLJSWFFAtwAaiIG6\nIjkUoVTevmjVLvrISx+8ce8945f1NRSaZRnQfwCW+y1HslkyoAZUB1UYM36MscMq0mJjYzG4z2D8\n9fdfqFihIpatWwYPDw/d/tfv07fv1xGJiN+/rNh5340w/D4u2br26oXEMWOEO61evMCukSOxNTQU\nFStWhL29PUxNTY0dIgBg8JDBWLZ4GXwTfZFMyXgkf4SFvy6EXC7XHUNE+OKLUVi9egUcHWV49AjY\nvXs/BgwYgLCwbRgw4AisrCSIj5chMnIDtFotRo0aiPDwO/DxqYcdO5bpblQtqVxdXXH9/Hncvn0b\nGo0GdnZ2AIBvv/0W07/8EsnNmkGSmQlt797QuLoCcXHYunt3jueb9dUspP+Rjh9TfsTn8mFQm93A\nggWDERIyEceOnYajo+N7n/f48TNk3e8HsRgoXz4djx49gkgkwujRo2FtbY0VC1dAJpNh49SNMDEx\nQa+wXqidXBvWsMYvyl/QvnN7ff96jE5E+ci49+7dg4uLS2HGk2+vZ+Aozo4dO4Zp30xDUlISBvYd\niEEDB5X4xPBfZWRkoKZ7TdS/Wx8fZX6EE6IT2Gq9FRdvXoSZmZnuuM8+G4BTpzahW7dkXL0qwb59\nFjh37jJsbGyMGD0rLQozL3EeLrnS09MhVyhA+/frPuWrvv8e8zt0wNChQ40c3btu3bqFRT8uQlJi\nErr17oZWrVqBhG+oIRaLsX//fgwe3BWLFr2EqSlw8CCwdq0zrl27B61Wi7NnzyIpKQm1a9fOlr+Z\nICIiAkeOHoWzkxPq16+PxMREVK9eHZaWljk+p+tHXVFzf02ckh2FpX80Bg3VAgCWLTOBStULy5at\nxvXr1xEWFpY1+0h3mJubo23bZjA1PYrBg9MRGwtMnKjE7t0xqFu3bo5trVmzBtO+nIaXr17C398f\nC5YsyPYhydj0kZdyLZIvXLiAQ4cO4fbt2xCJRHB1dUWTJk1QrVq1AjWsL5ycS5erV6+iee3mWPNy\nDUQQPkiMMR+DRbsWoUmTJrrjMjIyMGfOt4iODoeTUxl89dVclHs9NxxjhUzfeYnzcOlRxt0d93r0\nAFq2BOLjoRo1Cvs2bULjxo2NHdoHERGmT5+M+fPnIyMjE3369ELNmt6IihqPsWNTAAAZGUDr1iKk\np2fkeWo+lj+TvpyEU4tO4bn4PjpPvoCGDYXHDx8Gjh1rgmnT5qBDh1Zo3DgDz59L8M8/Vjh58hy0\nWi169eqCmJjj0GhU+PHHn9C3b1/jXkwBFWqRvGbNGixcuBDW1taoW7cunJycQER48OABfv/9dzx5\n8gRjxoxBnzzMW1iYODmXLg8ePECV8lWwNnUtTGGKNKRhgHoAdh/ZDU9PT2OHxxgA/eUlzsOlz9mz\nZ9GyfXukK5VIe/IEE778EiFTphg7rFwtX/4r5s4di6++egmlEvj6ayUqVuyMgwd3YeHCl7CwAPbt\nA7Zvd8WlS7eMHW6J9fLlS7T1a4sLF87B2e0F5nxHIAKmT1eha9cJCAvbBj+/P9GypXD8999LUafO\nRISEzACAfM0tXtTpIy/lOCY5ISEBkZGROX4FkpiYiNDQ0AI1zlh+OTo64pO+n+DLDV+i4cuGOKM6\ng3p+9VCrVi1jh8aY3nEeLn28vLxw78YNXL9+Hba2tnBwcDB2SHkSGbkHXbq81C1KERDwChs3nsfA\ngWMRGDgPNjYypKTIEB6+w7iBlnBqtRrRJ6Jx+vRpfP31NHTpcgAA0KePP4KDJ2L16mVwdX1zfNmy\n6XjyJE63XVIKZH3J15jkooh7MEofIsLGjRtx7s9zcPdwR2BgICQSibHDYkyntOWl0na97F2ffz4K\n//yzBMOHZwAAtm4V4c6dFti5cz8ePHiAx48fo1KlSlC+tWIgK3yvV2R8PVZ49OjPcPbsKowbl4Ln\nz4EpU1RYtGgDOnXqZMwwC0WhDrcICQnBsGHDYG9v/94nPnjwAEuWLMGMGTMKFEBBcXJmjBU1+spL\nnIdZcREXF4cGDbxQrtwLKBSEM2dMEBNzHFWrVjV2aOwtKSkpGDZsADZv3gaFQoZp02Zi9Oixxg6r\nUBTqcAtvb28EBAQgLS0NtWvXhqOjI4gIcXFxOHPmDORyOcaNG1egxhljjOWM83DJdPbsWezcuQtq\ntQr9+/cvEbPuODg44OzZS9i+fTvS09OxfHk7ODs7Gzss9i8KhQIrV67HypXGjqR4yHW4RWxsLI4e\nPYo7d+5AJBKhXLlyaNiwIcqUKWOoGD+IezAYY0WNvvMS5+GSIyIiAl279kFKygCYmDyEpWUM/vrr\npG5+XMaYfhhkCriijpMzY6yoKW15qbRdb0FUqVIPly9PBiCMAZVKP8OkSU4ICZlm3MAYK2EKdbjF\na1euXMG8efNw+/ZtZGRk6BqOiooqUMOMMcbyhvNwyfHiRSKA8rrt9PTyiI9/ZLyAGGM5yrUnuWbN\nmhg2bBhq166tm0FAJBKhTp06BgkwN9yDwRgravSdlzgPlxyjR3+JX389h1evlgCIg0rVA7t2rUbz\n5s2NHRpjJYpBhlvUqVMHp0+fLlAjhYmTM2OsqNF3XuI8XHKkpaVh9Ohg/PbbViiVKsyZMw19+nxi\n7LAYK3EMUiSHhITA1tYW/v7+2dbktrKyKlDD+sLJmTFW1Og7L3EeLjlevnyJjRs34vnz52jVqhVq\n1Khh7JAYK5EMUiS7urpCJBK98/itW0VjWUlOzoyxokbfeYnzcMmQlJSEOnWa4N49Z2RklIdEshFb\nt65G27ZtjR0aYyUOz24BTs6MsaKntOWl0na9/9XChQsRHByNlJStAEQAIlCuXBBu3z5v7NAYK3EM\nMrsFAJw/fx4XL15ESkqK7rF+/foVqGHGGGN5x3m4+Hv6NB6pqVUhFMgAUAXPnj01ZkiMsQ/ItUgO\nCQnBwYMHceHCBbRv3x7h4eFo3LgxJ2fGGDMQzsMlQ8uWLTB3bk8kJ3cBUAFy+QS0bNnK2GExxnIg\nzu2ALVu24MCBA3B0dMTKlStx7tw5PHv2zBCxMcYYA+fhkqJx48ZYsmQOLC27QC4vh9attVi5crGx\nw2KM5SDXnmSlUgmJRAITExM8f/4cdnZ2iI2NNURsjDHGwHm4JOnbtw/69u1j7DAYY3mQa5Hs4+OD\nhIQEDB48GN7e3lCr1WjYsKEhYmOMMQbOw4wxZgz5mt3i1q1bePHiBWrWrFmYMeUL31XNGCtqCjMv\ncR5mjLHc6SMv5TomWavVYs2aNZg5cybKly8PCwsL/P777wVqlDHGWN5xHmaMMcPLtSf5s88+g1gs\nRlRUFC5fvoz4+Hh89NFHOHXqlKFi/CDuwWCMFTX6zkuchxljLH8MMk/yyZMncfbsWXh5eQEQlkFN\nT08vUKOMMcbyjvMwY4wZXq7DLWQyGTIzM3Xbjx8/hlic69MYY4zpCedhxhgzvFyz7KhRo9C1a1c8\nevQIkyZNQqNGjTBx4kRDxMYYYwychxljzBjyNLvFpUuXEBkZCQBo0aIFqlSpUuiB5RWPhWOMFTWF\nkZc4DzPGWN7pIy/lqUhOSEjA3bt3kZGRAZFIWHO+du3aBWpYXzg5M8aKmsLIS5yHGWMs7wxy497U\nqVMRGhqKChUqZBsDFx0dXaCGGWOM5Q3nYcYYM7xce5Ld3d1x/vx5yGQyQ8WUL9yDkbvTp09j6NBx\nePjwEVq18sOiRXOhUqmMHRZjJZa+8xLnYcYYyx+DLCZSrVo1JCQkFKgRlndarRa//fYb5s6dq5de\nojt37sDPry1On+6Pe/c2YMOGR+jVa6AeImWMGQrnYcYYM7xce5L/+OMPdO7cGdWrV4dcLheeJBJh\n586dBgkwNyWpB4OI0LlbZ0SfjUaqUyqkV6WYOm4qJgRP+M/nXLZsGcaOPYzk5NVZj7yERGKFtLRX\nPIUUY4VE33mJ8zBjjOWPQcYk9+vXDxMmTED16tV1RdXrm0aYfh07dgzRx6ORNDAJMAHS66Vj2vRp\nGDViFNRq9X86p0qlgkj0+K1HnsDERM6vIWPFCOdhxhgzvFyLZFNTU4wePbpQGt+7dy/Gjh2LzMxM\nDBo0COPHj3/nmNGjRyM8PBwqlQqhoaG6FadKoqdPn0JsLX7zqpgBEpkEiYmJ/7lI7ty5M6ZNm417\n9wKRluYFlWoJJk2azH9gGStGCisPx8fHo2fPnrhz5w5cXV3x22+/wcLCItsxsbGx6NevHx49egSR\nSIQhQ4YU2t8ExhgrSnIdbhEUFAS5XI5OnTrpvuYDCj71UGZmJjw8PHDgwAE4OzvDx8cHGzZsyDb3\nZ1hYGBYtWoSwsDCcPHkSY8aMwYkTJ7JfQAn6mi8uLg6VqlZCUuskwBUQnxLD9Z4rrl24VqChEc+f\nP8eCBQtx795DtG7th48//lh/QTPG3qHvvFRYeTg4OBg2NjYIDg7GnDlzkJCQgNmzZ2c7Ji4uDnFx\ncfD09ERSUhLq1KmD7du3Z8vVJSkPM8ZKBoPMk+zn5/feXseC3lR2/PhxzJgxA3v37gUAXWKeMOHN\n+NvPPvsMzZo1Q8+ePQEAlStXxsGDB2Fvb//mAkpYcj569Ch6B/ZG3P041PCsgfAdU+kAACAASURB\nVK0btqJcuXLGDosxlg/6zkuFlYffzqlxcXHw8/PD5cuXP/icLl26YNSoUWjRooXusZKWhxljxZ9B\nxiTHxMQUqIGc/PPPPyhTpoxu28XFBSdPnsz1mHv37mUrkgEgJCRE97Ofnx/8/PwKJWZDaNSoEe5c\nv2PsMBhj+RATE1NoufL1+QvDw4cPdfnU3t4eDx8+/ODxt2/fxtmzZ1GvXr139pWkPMwYK34KIw/n\nWiS/rUOHDti9e7deGs7rmNh/fwp43/PeTs6MMWZo/y4KZ8yYUWht5TcPt2rVCnFxce88/s0332Tb\nFolEH8zLSUlJ6NatGxYsWABTU9N39nMeZowZU2Hk4XwVyf/880+BG3zN2dkZsbGxuu3Y2Fi4uLh8\n8Jh79+7B2dlZbzEwxlhxk988vH///hz3vR5m4eDggAcPHsDOzu69x6Wnp+Pjjz9Gnz590KVLl3y1\nzxhjxVW+7gbT58wS3t7euHbtGm7fvo20tDRs2rQJnTp1ynZMp06dsHq1ML/viRMnYGFh8c5QC8YY\nK030mYc7deqEVatWAQBWrVr13gKYiDBw4EBUrVoVY8eO1VvbjDFW1OV6415SUhKUSiUkEgkAYVaK\nlJSU/zwl2dvCw8N1U8ANHDgQEydOxNKlSwEAQ4cOBQCMHDkSe/fuhVqtxsqVK9+5m5tvGGGMFTX6\nzkuFlYfj4+PRo0cP3L17N9sUcPfv38fgwYOxZ88eHDlyBE2bNkXNmjV1wzFmzZqFNm3a6M7DeZgx\nVtQYZHaLevXqITIyUjcG7cWLF2jdujWOHTtWoIb1hZMzY6yo0Xde4jzMGGP5o4+8lOtwi9TU1Gw3\naZiZmSE5OblAjTLGGMs7zsOMMWZ4uRbJarUap0+f1m2fOnUKSqWyUINijDH2BudhxhgzvFyHW/zx\nxx8ICAiAo6MjAODBgwfYtGkTvL29DRJgbvhrPsZYUaPvvMR5mDHG8scgY5IBIC0tDVeuXAEAeHh4\nQCaTFahRfSppyfnUqVOIiYmBtbU1evXqBYVCYeyQGGP5VBh5ifMwY4zlnUHGJC9atAgvX75EjRo1\nUKNGDbx8+RI//fRTgRpl77dp0yb4tvLFpO2TMHLuSNRtXBcpKSnGDosxZmSchxljzPBy7UmuVasW\nzp07l+0xT09P/Pnnn4UaWF6VpB4MawdrxHeMB1wAEKDepMbiCYsRGBho7NAYY/mg77zEeZgxxvLH\nID3JWq0WWq1Wt52ZmYn09PQCNcreL+l5EmCTtSEC0q3S8fTpU6PGxBgzPs7DjDFmeLkWya1bt0ZA\nQAAiIyNx4MABBAQEZJtEnumPb3NfyKJkwCsAdwGTiyZo3ry5scNijBkZ52HGGDO8XIdbZGZm4pdf\nfkFkZCQAoFWrVhg0aJBu5SdjK0lf8z179gwB/QIQExkDjaUGSxcuRdeuXY0dFmMsn/SdlzgPM8ZY\n/hhsdou3HT58GBs3bsTixYsL1LC+cHJmjBU1hZ2XOA8zxtiHGWRMMgCcOXMGX375JVxdXTF16lRU\nrly5QI0yxvLn5MmT8PJqCmfnyvj00+G82lopxHm45ImLi8OWLVsQERGBjIwMY4fDGPsXk5x2XLly\nBRs2bMCmTZtga2uL7t27Q6vVIiYmxoDhMcZu3bqFFi064OXLHwHUwsaNM5GQMAjbt683dmiskHEe\nLrlOnz6NZs3aAagPoljUqGGNmJg9RWr+a8ZKuxyHW4jFYnTo0AGLFi1C2bJlAQDly5fHrVu3DBpg\nbvhrPlbSLVmyBEFBJ/Hq1cqsR5JgYmKD1NRkiMV5+jKIGZi+8hLn4ZKrevUGuHBhBIA+ADKhUrXH\nvHmdMWzYMGOHxliJUKjDLbZt2walUommTZvis88+Q2RkJCdBxoxApVJBLH701iOPIJUqIBKJjBYT\nMwzOwyXX/fuxAJpkbUmQnNwQd+/eM2ZIjLF/ybFI7tKlCzZt2oTz58+jSZMm+OGHH/D48WMMGzYM\nERERhoyRsVLN398f9vZ3IZV+AmAU5HJfTJ8+hYvkUoDzcMlVr159SKU/ANACiINavR4NGtQzdliM\nsbfka3aL+Ph4bNmyBRs3bkRUVFRhxpVn/DUfKw2uXbuGevWaIylJDYkkA9Wru+DgwTCoVCpjh8be\nozDzEufhkuHx48do0+ZjnD//J7TadEyaNBkzZkwxdliMlRgGmQIuKCgIAwcORLVq1QrUUGHh5MxK\ng549P8W2bdbIyJgLQAuF4hMEBXngm29mGDs09h76zkuch0uuZ8+eQalUQi6XGzsUxkoUg0wBV6VK\nFQwZMgR169bFkiVL8Pz58wI1yBjLv4sXryEjoyMAEQAJUlLa46+/rhk7LGYgnIdLLgsLCy6QGSui\nci2SBw8ejKNHj2L16tW4ffs2atSogd69eyM6OtoQ8THGANSpUwNy+VoI4xdToVRuRL16NY0dFjMQ\nzsOMMWZ4eZo/KjMzE5cvX8alS5dga2uLWrVqYf78+ejZs2dhx8cYA/Djj7NQteplqFSuUCrLoWlT\nOYKDg4wdFjMgzsOMMWZYuY5J/vzzz7Fr1y40b94cgwYNQt26dXX7PDw8cOXKlUIP8kN4LBwrLbRa\nLW7evAkTExOUK1eOZ7cowvSdlzgPM8ZY/hjkxr2VK1eiR48eUKvV7+x79uwZLCwsChRAQXFyZowV\nNfrOS5yHGWMsfwq1SD59+rSugff1WNWuXbtADesLJ2fGWFGjr7zEeZgxxv6bQi2S/fz8IBKJ8OrV\nK5w+fRo1awo3Cf3111/w9vbG8ePHC9SwvnByZowVNfrKS5yHGWPsvynUKeBiYmIQHR0NJycnnDlz\nBqdPn8bp06dx9uxZODk5FahRxhhjueM8zBhjxpPr7BaXL19GjRo1dNvVq1fHpUuXCjUoxhhjb3Ae\nZowxwzPJ7YCaNWti0KBB6NOnD4gI69evR61atQwRG2OMMXAeZowxY8h1dotXr17h559/xuHDhwEA\nTZs2xbBhw6BQKAwSYG54LBxjrKjRd17iPMwYY/ljkCngACA1NRVXr14FAFSuXBlSqbRAjeoTJ2fG\nWFFTGHmJ8zBjjOWdPvJSrsMtYmJiEBgYiHLlygEA7t69i1WrVsHX17dADTPGGMsbzsOMMWZ4ufYk\n165dGxs2bICHhwcA4OrVqwgICMCZM2cMEmBuuAeDMVbU6DsvcR5mjLH8KdQp4F7LyMjQJWYAcHd3\nR0ZGRoEaZYwxlnechxljzPByHW5Rp06dbHdVr1u3Dt7e3oaIjTHGGDgPM1ZUWFlZISEhwdhhsLdY\nWloiPj6+UM6d63CLlJQULF68GEePHgUANGnSBMOHD4dcLi+UgPKLv+ZjjBU1+s5LnIcZKxr4vV70\n5PSaGGx2i6KM37CMsaKmtOWl0na9rPTi93rRU5hFco5jkq9evYr+/fsjKCgI9+7dQ9u2baFWq1Gr\nVi388ccfBWqUMcZY7jgPM8aY8eRYJH/66ado2LAhHB0dUbduXXz66ad48uQJ5s2bh5EjRxoyRsYY\nK5U4DzPGmPHkONzC09MTf/75JwCgYsWKuH79+nv3GRt/9ZE3CQkJGDr0c5w4cQrly5fDr7/+iEqV\nKhk7LMZKJH3lJc7DjBUt/F4veowy3EIkEul+NjMzy3EfK/qICK1b+2PHDjliY9fhyJGWaNiwBd+h\ny1gRx3mYMZYXrq6uiIyMLNA5qlevjkOHDukpopIhxyngLl++jBo1agAAbty4ofv59TYrPh49eoS/\n/jqHtLQDACTQamshLW0Pjh07hvbt2xs7PMZYDjgPM8byQiQSFfiD8/nz5/UUTcmRY5F86dIlAEBw\ncDB2796drcs6ODi48CNjeqNQKKDVpgFIAmAOQAut9imUSqWRI2OMfQjnYcYYM54ch1u4urrC1dUV\n165dQ7ly5XTbrq6uusTNigdzc3P07z8AavVHAP4HhaI73N3N0KRJE2OHxhj7AM7DjJUcMTExcHPz\nhLm5Izp06FkoQx5///13NGjQAJaWlnBycsKoUaOQnp4OABgxYgTGjRuX7fhOnTphwYIFAIR8ExUV\nBQAICQlBjx49EBgYCI1Gg+rVq+P06dO65505cwZeXl7QaDTo0aMHevbsialTp+r9eowtxyL5559/\nRo0aNXDlyhXUqFFD95+rqytq1qxpyBiZHixdugALF36GAQOuYPr0ejhyZB+kUqmxw2KMfQDnYcaK\nB61Wi5CQb+DiUgUVKnhi/foN2fbfuHED7dt3x82bM5GY+Af27zeHv3/fd85z584dbNmyBYcOHfpP\nN52ZmJhgwYIFePr0KY4fP47IyEj89NNPAID+/ftjw4YNuvM+efIEkZGR6N27N4B373PYtWsXevXq\nhefPn6NTp066GXXS0tLQtWtXDBgwAAkJCejVqxe2b99eMu+ToBw8e/aMbt26RT179qTbt2/TrVu3\n6NatW/TkyZOcnmIUH7gExhgzCn3lJc7DjBUtOb3Xv/56NqlUPgScISCKVCoXCg8P1+1ftmwZqVSB\nBFDWf6kkkUgpPT1dd8y+fftIpbIhjaYLqdUe5O/fh7RabZ7icnV1pcjIyHce/+GHH6hr16667SpV\nqtD+/fuJiGjhwoXUvn37955j+vTp1KpVK92+CxcukFKpJCKigwcPkrOzc7Z2GjduTFOnTs1TrPqW\n02uij7yU45hkc3NzmJubY+PGjYap1hljjGXDeZix4mHNmm1ITp4PwAsAkJwcjPXr/w9t2rQBAGg0\nGojFtwEQABGAO5BKFZBIJLpz9O49EMnJvwFoBiAFERH1sWfPHnTo0CHPcVy9ehVBQUE4ffo0kpOT\nkZGRAW9vb93+fv36Ye3atWjZsiXWrl2Lzz//PMdz2dvb635WqVRISUmBVqvF/fv34ezsnO3YMmXK\nlMip8XIcblGY4uPj0apVK7i7u+Ojjz7Cs2fP3jkmNjYWzZo1Q7Vq1VC9enX873//M0KkjDFWMuUl\nD7+WmZkJLy8vdOzY0YARMlZ8mJqqATzQbYvFD6DRqHXbnTt3hptbOpTKjhCJpkGlaom5c+fohiho\ntVrEx98H8PpeIQUyM+siNjY2zzEQEYYNG4aqVavi+vXreP78Ob755htotVrdMX369MGOHTtw7tw5\nXL58GV26dMn3tTo6OuKff/7J9tjdu3dL5HALoxTJs2fPRqtWrXD16lW0aNECs2fPfucYqVSKH374\nARcuXMCJEyewePFivlGFMcb0JC95+LUFCxagatWqJfKPIGP6MHv2JKhUIwDMhEQSBDOzFQgKerMq\nplwux/HjBzBvXjtMmSLCzp0rMHLkMN1+sViMKlW8IRb/CKG3+TpEoj3ZeoHzIikpCWZmZlCpVLh8\n+TJ+/vnnbPtdXFzg7e2Nfv36oVu3bpDL5fm+1gYNGkAikWDRokXIyMjAjh078Mcff+T7PMWBUYrk\nnTt3IjAwEAAQGBiI7du3v3OMg4MDPD09AQCmpqaoUqUK7t+/b9A4GWOspMpLHgaAe/fuISwsDIMG\nDSqRX6cypg8tW7ZETMweBAW9xPjxapw7dxIVKlTIdoxSqcTw4cMxc+YMtGjR4p1z7Nq1AeXKrYJc\nbgWZzBPz5k2Hj49PnmMQiUSYN28e1q9fD41GgyFDhiAgIOCdD7eBgYH4+++/0bfvuzcOvn2ufz/v\n9bZMJsO2bduwfPlyWFpaYt26dejQoQNkMlmeYy0uclyWujBZWlrqpj4hIlhZWX1wKpTbt2/D19cX\nFy5cgKmpabZ9IpEI06dP1237+fnBz8+vUOJmjLH3iYmJQUxMjG57xowZRb6gzGse7t69OyZNmoTE\nxETMmzcPu3bteucYzsOstCjsZamJCE+fPoVGoym0ovPw4cPo06cP7ty5o7dz1qtXD8OHD9d98Dak\n169JYeThQiuSW7Vqhbi4uHce/+abbxAYGJgtGVtZWSE+Pv6950lKSoKfnx+mTJny3rEzvI46Y6yo\nKSp5qaB5ePfu3QgPD8fixYsRExOD77//PsciuShcb3GVmZmJjIyM//TVNzOs4v5eT09PR0BAALy8\nvDBlypT/fJ5Dhw7B3d0dNjY2WLduHYYPH46bN29mu9nPUHJ6TfTxWuU4u0VB7d+/P8d99vb2iIuL\ng4ODAx48eAA7O7v3Hpeeno6PP/4Yffr0+U+DyxljrDQraB4+duwYdu7cibCwMKSkpCAxMRH9+vXD\n6tWrCzPsUoOIMGXKTHz33WwQadGyZXts2bL6nW9MGdOHS5cuwcfHB56enhg7dmyBznXlyhX06NED\nL1++hJubG7Zs2WKUArmwGWW4RXBwMKytrTF+/HjMnj0bz549e+emESJCYGAgrK2t8cMPP+R4ruL+\nqY4xVvIUh7yUlzz8toMHD35wuEVRv96iaMOGDRg06FskJ+8HYAmF4lP07GmO0NCfc30uMw5+rxc9\nhdmTbJQb9yZMmID9+/fD3d0dUVFRmDBhAgDg/v37aN++PQDg6NGjWLt2LaKjo+Hl5QUvLy/s3bvX\nGOEyxliJk5c8/G88u4V+HThwBMnJgwE4AJAjJSUY0dFHjB0WYyyLUXqS9Yk/1THGiprSlpdK2/Xq\ny4wZX2HWrKtITV0NYYGJZahffzOOH48wdmgsB/xeL3oKsyeZi2TGGNOz0paXStv16ktiYiJ8fHxx\n/74lABuIxYdw6NA+1KpVy9ihsRzwe73o4SL5A/gNyxgrakpbXipt16tPr169QlhYGF69eoUWLVrA\n0dHR2CGxD+D3etHDRfIH8Bs2f65evYqnT5+iWrVq0Gg0xg6HsRKptOWl0na9rPTi93rRU+Ju3GOG\nR0QYPHgUPD190bbtGLi6VsG5c+eMHRZjjDHGCsmsWbMwePDgfD1n2LBh+PrrrwspouKFe5JLiV27\ndqFXr0l4+fIYADMAa+Dm9j2uX//T2KExVuKUtrxU2q6XlV7F+b1++/ZtVKhQARkZGRCLhT7S0NBQ\nLF++HIcPHzZydP8d9ySzArty5QrS0lpCKJABoCvu3LlizJAYY4wxZmDFtcg3Bi6SS4lq1apBJgsH\nICw7KxKth5tbNeMGxRhjjJUSMTExcKvqBnMbc3Tw75BtWXh9mDNnDlxcXKDRaFC5cmVERUUhJCQE\nffv2BQA0bdoUAGBhYQGNRoMTJ07gs88+w/Hjx2FmZgYrKysAQP/+/TF16lRdzC4uLpg/fz7s7e3h\n5OSE0NBQXZtPnz5Fx44dYW5ujrp162LKlClo0qSJXq/LmLhILiXatm2LIUO6Qi6vCDOzqrC1/Rbb\ntvHSsowxxlhBabVahMwMgYubCypUqYD169dn23/jxg2079IeNz1vIjEwEfv/2Q//nv7vnOfOnTvY\nsmULDh06lK8e3ytXrmDx4sU4deoUEhMTERERAVdX12wLAL0eUvH8+XMkJiaifv36WLp0KRo0aIAX\nL14gPv51J5oo2/MePnyIxMRE3L9/H8uXL8eIESPw/PlzAMCIESNgZmaGhw8fYtWqVVi9enWJWnTI\nxNgBMMOZP38WgoJGID4+HpUqVYJSqTR2SIwxxlixN2vOLMxdORfJrZOBFGDw6MGwsrJCmzZtAADR\n0dGAOwAP4fi01mk4POswMjIyYGIilGIRERHo2qMrTFxNkPkoE62btsaWDVvyVHRKJBKkpqbiwoUL\nsLa2RtmyZQFkH1rxvqI7p0L87celUimmTZsGsViMtm3bwtTUFFeuXEGdOnWwbds2XLhwAQqFAlWq\nVEFgYCBiYmLy8isrFrgnuZRxcXFBzZo1uUBmjDHG9GTNpjVIbp4MOAIoDyTXTcb6zW96kzUaDcTP\nxcDr2vMZIJVLIZFIdMf0DuyN5C7JSOyaiJcDXyLieAT27NmTp/YrVqyIH3/8ESEhIbC3t0evXr3w\n4MEDvVybtbW17kY/AFCpVEhKSsLjx4+RkZGBMmXK6Pa5uLjopc2igotkxhhjjLECMFWbAi/ebIuT\nxNCYvlmLoHPnznAzd4NysxKiaBFUG1SYO2eurpdYq9Ui/lE8UC7rCSZApmMmYmNj8xxDr169cPjw\nYdy5cwcikQjjx4/P1gv9vh7pnHqp89J7bWtrCxMTk2wx5ife4oCLZMYYY4yxApg9YzZU+1XAQUAS\nIYHZRTMEjQnS7ZfL5Th+8DjmjZiHKb5TsHPjTowcMVK3XywWo0rNKhCfzOptjgdE10Tw9vbOU/tX\nr15FVFQUUlNTIZfLoVAosvVSA0JRKxaLcePGDd1jDg4OuHfvHtLT03WPEVGexkNLJBL4+/sjJCQE\nr169wuXLl7FmzRoek8xKhtf/CErSG5oxxhgztJYtWyImIgYbf9sIhVyBIeuHoFy5ctmOUSqVGD58\neI7n2LV1F1q2a4n7R++DMgnz5s+Dj49PntpPTU3FxIkTcenSJUilUjRq1Ai//PILli5dqvsbr1Kp\nMHnyZDRq1Ajp6enYt28fmjdvjmrVqsHBwQESiQSPHj1658a9D9UIixYtQv/+/eHg4IDKlSujV69e\nOHXqVJ5iLg54MZFSKDk5GX36DMGuXVsglSowffpUjB//hbHDYqzEKG15qbRdLyu9Cvu9TkR4+vQp\nNBoNZDJZobVTWMaPH49Hjx5h5cqVBmuTFxNhejVqVDDCw1OQkfEYr16dwcyZS7F9+3Zjh8UYY4yV\naiKRCDY2NsWmQL5y5Qr++usvEBF+//13rFixAl27djV2WHrDRXIpFBERhZSUaRBW36uA5ORhCA+P\nMnZYjDHGGCtGXrx4gY8//himpqYICAjAuHHj0KlTJ2OHpTc8JrkUsrOzw717fwGoCQCQyc7BycnN\nuEExxhhjrFjx9vbGtWvXjB1GoeExyaXQ77//jubN20Or7Qix+CFsbW/j7NmjsLCwMHZojJUIpS0v\nlbbrZaUXv9eLnsIck8xFcil169YtREREQKlUwt/fH6ampsYOibESo7TlpdJ2vaz04vd60cNF8gfw\nG5YxVtSUtrxU2q6XlV78Xi96eHYLxhhjjDHGDIiLZMYYY4wxxv6Fi2TGGGOMMZZvoaGhaNKkiW7b\nzMwMt2/fNl5AesZFMmOMMcZYCRQSEoK+ffsarL0XL17A1dXVYO0VNi6SGWOMMcYY+xcukhljjDHG\nCllMTAw83dzgaG6Onh06ICEhQa/nnzNnDlxcXKDRaFC5cmWEhYVh1qxZ2LRpE8zMzODl5QUAWLly\nJapWrQqNRgM3Nzf88ssv2WJ0cXHB/PnzYW9vDycnJ4SGhur2P336FJ06dYK5uTnq1auHGzduZItB\nLBbj5s2bAID+/ftjxIgR6NChAzQaDerXr6/bBwARERHw8PCAhYUFRowYAV9fXyxfvlyvv5OC4iKZ\nMcYYY6wAtFotvgkJQRUXF3hWqIAN69dn23/jxg10b98eM2/exB+JiTDfvx99/f3fOc+dO3ewZcsW\nHDp0KF/Tl125cgWLFy/GqVOnkJiYiIiICFSuXBmTJk1CQEAAXrx4gbNnzwIA7O3tsWfPHiQmJmLl\nypX4/PPPdfsA4OHDh0hMTMT9+/exfPlyjBgxAs+fPwcAjBgxAiqVCnFxcVixYgVWrlwJkUiUY1yb\nNm1CSEgIEhISULFiRUyePBkA8OTJE3Tv3h1z5sxBfHw8PDw8cPz48Q+eyxi4SGaMMcYYK4C5s2Zh\nx9y5WP/PP/jh1i0EDx6MvXv36vZHR0ejPYBOAFwALEpLQ8Thw8jIyNAdExERAe+qVbFu4EAMadcO\n/bp1y3OhLJFIkJqaigsXLiA9PR1ly5ZFhQoVQETvnKNdu3YoX748AKBp06b46KOPcPjwYd1+qVSK\nadOmQSKRoG3btjA1NcWVK1eQmZmJbdu2YebMmVAqlahWrRoCAwNzjFEkEsHf3x/e3t6QSCT45JNP\n8OeffwIAwsLCUL16dXTp0gVisRijR4+Gg4NDnq7VkLhIZowxxhgrgG1r1mB+cjK8ADQDEJycjP97\nqzdZo9HgtliM1+XkHQAKqRQSiUR3zMDevfFbcjL+LzERf758ib8jIrBnz548tV+xYkX8+OOPCAkJ\ngb29PXr16oUHDx6899jw8HDUr18f1tbWsLS0RFhYGJ4+farbb21tDbH4TXmoUqmQlJSEx48fIyMj\nA2XKlNHtK1u27Afjsre31/2sVCqRlJQEALh//z5cXFyyHfvv7aKAi2TGGGOMsQJQm5ri7ZL0gVgM\ntUaj2+7cuTPS3dzQUanENJEILVUqzJk7Vze8QKvV4n58PF5PpqYAUDczE7GxsXmOoVevXjh8+DDu\n3LkDkUiE8ePHZyt2ASA1NRUff/wxgoOD8ejRIyQkJKBdu3Z56rG2tbWFiYkJ7t69q3vs7Z/zw8nJ\nCffu3dNtE1G27aKCi2TGGGOMsQKYNHs2RqhUmAkgSCLBCjMzjAwK0u2Xy+U4cPw42s2bB9GUKVix\ncyeGjRyp2y8Wi+FdpQp+zOptvg5gj0gEb2/vPLV/9epVREVFITU1FXK5HAqFAhKJBPb29rh9+7au\nCE5LS0NaWhpsbGwgFosRHh6OiIiIPLUhkUjg7++PkJAQvHr1ChcvXsSqVatyPP5DhXe7du3w999/\nY8eOHcjIyMDixYsRFxeXpzgMiYtkxhhjjLECaNmyJfbExOBlUBDU48fj5LlzqFChQrZjlEolhg8f\njhkzZ6JFixbvnGPDrl1YVa4crORyeMpkmD5vHnx8fPLUfmpqKiZOnAhbW1s4OjriyZMnmDVrFrp3\n7w5AGELh7e0NMzMz/O9//0OPHj1gZWWFDRs2oHPnztnO9aGb5xYtWoSkpCQ4ODhgwIABGDBgQLbj\n//3zv8/1etvGxgabN29GcHAwbGxscOnSJXh7e0Mul+fpeg1FRPm5fbIIEolE+boDlDHGCltpy0ul\n7XpZ6VXY73UiwtOnT6HRaCCTyQqtnaJGq/3/9u49Korz7gP4d1fBogKu4SY3uQjKUm4RjI2XpVWC\nR6OmEXwNaoyX1FNN6u1obKMJ8RYU1HgkeU+apNRSaaKSk6AiQdFdVhOO5GPeDgAAHchJREFUsSr2\njan2CHhbIZWLKCgL8rx/WCdyM2vZ3Vnd7+ecnMPszM7zm2cefvkxzjzTCj8/P+Tk5ECj0TzSd7s6\nJ+Y4V7ySTERERGQDFAoF3Nzc7KJALiwsRF1dHZqamrBhwwYAwPDhw2WOqi0WyURERERkVd988w0G\nDRoEd3d37N+/H1988QVvtzA3/jPfo2ttbcU333yDuro6DBs2DO7u7nKHRPREsbe8ZG/HS/aLY932\nWPJ2i57d+jY9du7evYsJE5Jx7Nj3UCr9AZTi8OH9GDp0qNyhEREREdkMFsl2ZufOnTh69N9oaDgD\nwAFADqZPn49//vOE3KERERER2Qzek2xnKioq0Ng4GvcKZAD4Fa5evShnSEREREQ2h0WynYmNjUXv\n3nsAVAEQ6NHjfxEVxVstiIiIiB7EItnOjB8/HosXT4eDQzB+9jNPBAfvxaeffix3WEREREQ2hbNb\n2KmbN2/i5s2b8PLy6vBudyLqHnvLS/Z2vGS/nuSxnpqaigsXLiA7OxsVFRUICgpCS0uLzdcInN2C\nzM7Z2RnOzs5yh0FEREQ24GGvo7ZXtv3nARERERFZ3JN6hbw7WCQTERERWZhWq0VwRARcPT3xfFIS\namtrzbbvrKwsTJo0SVoOCQnB1KlTpWU/Pz+UlpZi0aJF8Pf3h6urK2JjY3H06FGT9p+bm4vAwECc\nPXvWbDE/DmQpkmtqapCQkIDQ0FA899xzqKur63Lbu3fvIiYmBhMnTrRihERETzZT83BdXR2SkpIQ\nFhYGtVqNkpISK0dKZPtaW1uRunYtfENDERQRgZycnDbrL1y4gAlTpqBs2jTUZ2bioNGIF1NSOuzn\n4sWL2LNnD4qLix/pym58fDz0ej0AwGAwoLm5WfpdLSsrQ0NDA6KiojBs2DCUlpaitrYWKSkpSE5O\nhtFo7HK/QghkZWVh5cqVKCoqglqtNjmmJ4EsRXJaWhoSEhJw/vx5jBkzBmlpaV1uu23bNqjVat4r\nQ0RkRqbm4UWLFmH8+PH4/vvvcebMGYSFhVk5UiLb9+6mTUj/7DNcXb4c5XPm4NVly1BQUCCtP3Lk\nCDB8ODBiBODuDuPrr0NfVISWlhZpm8LCQqiffhpzMzMxftYsJM2YYXKhHBgYCGdnZ5w6dQrFxcVI\nTEyEt7c3zp07B51Oh9GjRwMApk+fDpVKBaVSiaVLl6KpqQnnzp3rcr9bt25FRkYGdDodgoKC/sve\neXzJUiTn5eVh1qxZAIBZs2bhiy++6HS7K1euID8/H/PmzeO9MkREZmRKHr5x4wb0ej3mzJkDAOjZ\nsydcXV2tGifR4yB79240zp8PhIQAMTFoTE5GTm6utN7FxQXKykrgfi1TVQWHXr3Qo0cPaZuU2bPR\nuGoV6lNT0fDhhyg8cQL79+83OQaNRgOtVgu9Xg+NRgONRgOdTofi4mJoNBoAQEZGBtRqNfr16weV\nSoUbN27g+vXrXe5z8+bNWLhwIby9vR+xR54MssxuUVVVBU9PTwCAp6cnqqqqOt1uyZIlSE9PR319\n/UP3l5qaKv0cHx+P+Ph4c4VKRPSTtFottFqt3GE8ElPycHl5Odzd3TF79myUlpZi6NCh2LZtG3r3\n7t1hW+Zhsmd9+/YFqqulZWVNDVzc3KTlyZMnY8PWrTi/ejXuBAfD6eBBbNy4UfpX8tbWVtRUVgKR\nkfe+4OiIu0OG4PLlyybHoNFokJeXh4qKCrz55pvo168f/vrXv6KkpASvv/469Ho90tPTcfjwYYSH\nhwMA+vfv/9CLkIWFhUhMTISXlxdefPHFR+kSq7NEHrZYkZyQkIDKysoOn69fv77NskKh6PRWin37\n9sHDwwMxMTE/edAPJmciImtrXxS+88478gXzgO7m4ZaWFpw8eRKZmZmIi4vD4sWLkZaWhjVr1nTY\nlnmY7Fna6tWY/D//g8aLF9GjoQF9tVosfeD+/V69euGbw4eRlZWFyqoqaLKzMWbMGGm9UqlEWEwM\n/pmbi9bkZMBggKKkBLGrVpkcg0ajwZIlSzBgwAB4e3ujb9++mDFjBlpbWxETE4MDBw6gZ8+ecHNz\ng9FoRFpa2k9ehAwPD0dBQQESExPh4OBg08+HWSIPW6xIPnjwYJfrPD09UVlZCS8vL1y7dg0eHh4d\ntvn666+Rl5eH/Px83LlzB/X19Xj55Zfxl7/8xVIhExE9Ubqbh319feHr64u4uDgAQFJS0kOfISGy\nV2PHjoW2oACf7t6Nn/n64jfp6Rg4cGCbbZycnLBgwYIu97F31y6MnTgRhp07IVpakLFli/S7Z4qQ\nkBA4Oztj1KhRAO7d4hEcHAwPDw8oFAqMGzcO48aNQ2hoKPr06YMlS5bA399f+n77P5bv/xwZGYl9\n+/ZhwoQJ2LFjBxITE02O6XEnyxv3VqxYgaeeegpvvPEG0tLSUFdX99DEq9PpkJGRgb1793ZY9yS/\n/YaIHk+PQ14yNQ+PHj0aH3/8MUJDQ5Gamorbt29j48aNbbZ5HI6XyBwsPdaFEKiuroaLiwscHR0t\n1s6TxJJv3JPlwb2VK1fi4MGDCA0NxeHDh7Fy5UoA96YtmTBhQqff4ewWRETmY2oe3r59O6ZPn46o\nqCicOXMGf/jDH+QKmeiJp1Ao4ObmxgLZRshyJdmceAWDiGyNveUleztesl8c67bnibuSTERERERk\ny1gkExERERG1wyKZiIiIiKgdFslERERERO2wSCYiIiIiaodFMhERERFROyySiYiIiOxcamoqZs6c\nCQCoqKiAUqlEa2urSd8NCAhAUVGRJcOTBYtkIiIiIjvXnZe2tX+l9ZOCRTIRERGRneNLUjpikUxE\nRERkYVqtFhHBEfB09UTS80mora01276zsrIwadIkaTkkJARTp06Vlv38/FBaWopFixbB398frq6u\niI2NxdGjR03af25uLgIDA3H27FkAQHZ2NgYOHAg3Nzds2LChzbZNTU1YvHgxfHx84OPjgyVLlsBo\nNAIANBoNPv/8cwDAsWPHoFQqkZ+fDwAoKipCTEwMAODPf/4zRo4cieXLl6N///4ICgpCQUHBf9k7\n/z0WyURERETd0NrairWpaxHqG4qIoAjk5OS0WX/hwgVMmTAF08qmIbM+E8aDRqS8mNJhPxcvXsSe\nPXtQXFz8SFd24+PjodfrAQAGgwHNzc0oKSkBAJSVlaGhoQFRUVEYNmwYSktLUVtbi5SUFCQnJ0sF\nbGeEEMjKysLKlStRVFQEtVqNs2fPYsGCBdi5cycMBgOqq6tx5coV6Tvr16/H8ePHUVpaitLSUhw/\nfhzr1q2T4tRqtQAAnU6HoKAgFBcXS8vx8fHSfo4fP44hQ4aguroaK1aswNy5c03uD3NhkUxERETU\nDZve3YTP0j/D8qvLMad8Dpa9uqzNlc8jR45gOIZjBEbAHe543fg6ivRFaGlpkbYpLCzE0+qnkTk3\nE7PGz8KMpBkmF8qBgYFwdnbGqVOnUFxcjMTERHh7e+PcuXPQ6XQYPXo0AGD69OlQqVRQKpVYunQp\nmpqacO7cuS73u3XrVmRkZEgFLQDs2bMHEydOxMiRI+Ho6Ii1a9dCqfyxnMzJycFbb70FNzc3uLm5\n4e2330Z2djYAYPTo0dDpdAAAvV6P3//+99KyTqeDRqOR9jNw4EDMnTsXCoUCL7/8Mq5du4YffvjB\npP4wFxbJRERERN2wO3s35jfORwhCEIMYJDcmIzcnV1rv4uKCSmUlBO4VvVWoQi+HXujRo4e0zeyU\n2VjVuAqp9an4sOFDnCg8gf3795scg0ajgVarhV6vh0ajgUajgU6nQ3FxsVR8ZmRkQK1Wo1+/flCp\nVLhx4wauX7/e5T43b96MhQsXwtvbW/rs2rVr8PX1lZZ79+6Np556Slo2GAwYOHCgtOzv7w+DwQAA\n+MUvfoHz58/jhx9+wOnTp/Hyyy/j8uXLqK6uxrfffisV8wDg5eXVpg0AuHXrlsn9YQ4skomIiIi6\noW/fvqhGtbRco6xBH5c+0vLkyZPhGOyI1U6rkaXIworeK7AxfaM0I0RraysqayoRiUgAgCMcMeTu\nEFy+fNnkGDQaDY4cOQK9Xo/4+HipaL5/hVav1yM9PR27d+9GXV0damtr4erq+tCr1YWFhVi3bp10\nHzEADBgwoE1cjY2NqK7+8di9vb1RUVEhLV+6dEkqsnv37o2hQ4fivffeQ0REBBwcHPDss89i8+bN\nGDRoEPr372/y8VoDi2QiIiKZ3LhxA2fPnsXNmzflDoW6YXXaamzvvR07sAMf9PgAhc6F+N3S30nr\ne/XqhcPfHEZKRgoCVgUgOy8bC15bIK1XKpWICYtBrjIXAgJXcRUlihLExsaaHMP9IvnOnTvw9vbG\nyJEjUVBQgJqaGsTExODmzZvo2bMn3NzcYDQasWbNGtTX1z90n+Hh4SgoKMDChQuxd+9eAEBSUhL2\n7duHY8eOwWg04q233mozn/JLL72EdevW4fr167h+/TrWrFkjzb98P873339furodHx+PzMzMNrda\n2AoWyURERDLYtWsPBgwIwPDhv8aAAYE4cOCA3CHRf2ns2LEo0BbAfak7Br8xGN+Wfivdw3ufk5MT\nFixYgHfWvIMxY8Z02MeuvbugG6jDC71ewG8cf4M1GWsQFxdncgwhISFwdnbGqFGjANy7xSM4OBgj\nRoyAQqHAuHHjMG7cOISGhiIgIABOTk7w9/eXvt9+ruP7P0dGRmLfvn149dVX8dVXX0GtVuP9999H\nSkoKvL290b9/f/j5+UnfW7VqFWJjYxEZGYnIyEjExsZi1apV0nqNRoNbt25Jt1aMHj0aDQ0NbW61\n6GzeZTnmYVaIx3xiPIVCwbn9iMim2FtesrfjNYfKykoEBYXj9u0iANEAjqFPn8kwGMrg4uIid3jU\nBUuPdSEEqqur4eLiAkdHR4u18yTp6pyY41zxSjIREZGV/etf/4Kj42DcK5ABYASUSg9cvHhRzrBI\nZgqFAm5ubiyQbQSLZCIiIisLCAhAU9M5AGX/+eT/0NzcdtYAIpIXi2QiIiIr8/PzQ0bGBjg5DYOr\n6yg4OcXj448/gEqlkjs0IvoP3pNMRGRm9paX7O14zenixYsoKytDaGgofHx85A6HfgLHuu2x5D3J\nLJKJiMzM3vKSvR0v2S+OddvDB/eIiIiIiKyIRTIRERERUTsskomIiIiI2mGRTERERGTnUlNTpddH\nV1RUQKlUtnndtD1ikUxERERk5+R47bOtY5FMREREZOc4a0dHLJKJiIiILEyr1SIiIhienq5ISnoe\ntbW1Ztt3VlYWJk2aJC2HhIRg6tSp0rKfnx9KS0uxaNEi+Pv7w9XVFbGxsTh69KhJ+8/NzUVgYCC+\n++47vPLKK1i9enWb4/Lz85OWAwICkJaWhvDwcPTv3x9z5sxBU1OTGY7S+lgkExEREXVDa2sr1q5N\nRWioLyIigpCTk9Nm/YULFzBlygRMm1aGzMx6GI0HkZLyYof9XLx4EXv27EFxcfEjXdmNj4+HXq8H\nABgMBjQ3N6OkpAQAUFZWhoaGBkRFRWHYsGEoLS1FbW0tUlJSkJycDKPR2OV+hRDIysrCypUrUVRU\nhPDwcCgUip+8NSMnJweFhYW4cOECzp8/j3Xr1pl8LLaERTIRERFRN2za9C4++ywdy5dfxZw55Vi2\n7FUUFBRI648cOYLhw4ERIwB3d+D1140oKtKjpaVF2qawsBBPP61GZuZczJo1HjNmJJlcKAcGBsLZ\n2RmnTp1CcXExEhMT4e3tjXPnzkGn02H06NEAgOnTp0OlUkGpVGLp0qVoamrCuXPnutzv1q1bkZGR\nAZ1Oh6CgIOnzh8WlUCjw2muvwcfHByqVCm+++Sb+9re/mXQctoZFMhEREVE37N6djfnzGxESAsTE\nAMnJjcjN/fFqsouLCyorlbhfW1ZVAb16OaBHjx7SNrNnp2DVqkakptbjww8bcOJEIfbv329yDBqN\nBlqtFnq9HhqNBhqNBjqdDsXFxdBoNACAjIwMqNVq9OvXDyqVCjdu3MD169e73OfmzZuxcOFCeHt7\nP1J/PHj7hb+/PwwGwyN931awSCYiIiLqhr59+6K6+sflmhol+vRxkZYnT54MR8dgrF7thKwsBVas\n6I2NG9Ol2xZaW1tRWVmDyMh72zs6AkOG3MXly5dNjkGj0eDIkSPQ6/WIj4+XimadTgeNRgO9Xo/0\n9HTs3r0bdXV1qK2thaur60OvChcWFmLdunX4/PPPpc/69OmDxsZGabmysrLD9y5dutTm50ctsm0F\ni2QiIiKibli9Og3bt/fGjh3ABx/0QGGhM373u6XS+l69euHw4W+QkpKBgIBVyM7Ow4IFr0nrlUol\nYmLCkJt772rz1atASYkCsbGxJsdwv0i+c+cOvL29MXLkSBQUFKCmpgYxMTG4efMmevbsCTc3NxiN\nRqxZswb19fUP3Wd4eDgKCgqwcOFC7N27FwAQHR2N/Px81NbWorKyEu+9916b7wgh8MEHH+Dq1auo\nqanB+vXrMW3aNJOPw5b0lDsAIiIiosfZ2LFjUVCgxe7dn8LX92dIT/8NBg4c2GYbJycnLFiwoMt9\n7Nq1FxMnjsXOnQa0tAhs2ZKBuLg4k2MICQmBs7MzRo0aBeDeLR7BwcHw8PCAQqHAuHHjMG7cOISG\nhqJPnz5YsmQJ/P39pe+3fyDv/s+RkZHYt28fJkyYgB07dmDmzJk4dOgQAgICEBgYiFdeeQVbtmxp\n872UlBQ899xzMBgMeOGFF7Bq1SqTj8OWKMRjPjGeQqHg3H5EZFPsLS/Z2/GS/bL0WBdCoLq6Gi4u\nLnB0dLRYO5YUGBiITz75BL/61a+s0l5X58Qc54pXkomIiIhsgEKhgJubm9xh0H/wnmQiIiIionZ4\nuwURkZnZW16yt+Ml+8WxbnssebsFryQTEREREbXDIpmIiIiIqB0WyURERERE7XB2CyIiIiITqFSq\nNnMJk/xUKpXF9s0H94iIzMze8pK9HS8R2T4+uGcDtFqt3CEwBhtonzHYRvu2EgNZny2cd7ljkLt9\nxmAb7TMG85GlSK6pqUFCQgJCQ0Px3HPPoa6urtPt6urqkJSUhLCwMKjVapSUlFg50p9mC4OAMcjf\nPmOwjfZtJYbHgal5+N1330V4eDgiIiKQkpKCpqYmK0dqGls473LHIHf7jME22mcM5iNLkZyWloaE\nhAScP38eY8aMQVpaWqfbLVq0COPHj8f333+PM2fOICwszMqREhE9mUzJwxUVFfjoo49w8uRJ/OMf\n/8Ddu3fx6aefyhAtEZH1yVIk5+XlYdasWQCAWbNm4YsvvuiwzY0bN6DX6zFnzhwAQM+ePeHq6mrV\nOImInlSm5GEXFxc4ODigsbERLS0taGxshI+Pj7VDJSKShSwP7qlUKtTW1gIAhBDo37+/tHzf6dOn\nMX/+fKjVapSWlmLo0KHYtm0bevfu3WY7PmVKRLbI1h9kMyUPA8Af//hHLFu2DE5OTkhMTER2dnaH\nbZiHicgWdTcPW2wKuISEBFRWVnb4fP369W2WFQpFpwm2paUFJ0+eRGZmJuLi4rB48WKkpaVhzZo1\nbbaz9f8RERHJpbt5+MKFC3jvvfdQUVEBV1dXJCcnY+fOnZg+fXqb7ZiHiehJZLEi+eDBg12u8/T0\nRGVlJby8vHDt2jV4eHh02MbX1xe+vr6Ii4sDACQlJXV57zIREXXU3Tx84sQJPPvss3jqqacAAC++\n+CK+/vrrDkUyEdGTSJZ7kidNmoQdO3YAAHbs2IEXXnihwzZeXl7w8/PD+fPnAQCHDh1CeHi4VeMk\nInpSmZKHhwwZgpKSEty+fRtCCBw6dAhqtdraoRIRyUKWe5JramowdepUXLp0CQEBAdi1axf69esH\ng8GAV199Ffv37wcAlJaWYt68eTAajQgODkZWVhYf3iMiMgNT8/CmTZuwY8cOKJVKPP300/j444/h\n4OAgc/RERFYgHlNvv/228PHxEdHR0SI6Olrk5+dL6zZs2CAGDRokBg8eLL766iuLxXDgwAExePBg\nMWjQIJGWlmaxdtobOHCgiIiIENHR0SIuLk4IIUR1dbUYO3asCAkJEQkJCaK2ttasbc6ePVt4eHiI\nn//859JnD2vT3Oegs/atPQYuXbok4uPjhVqtFuHh4WLbtm1CCOv1Q1ftW7Mfbt++LYYNGyaioqJE\nWFiYWLlypRDCumOhqxisPR5aWlpEdHS0eP7554UQ1u0DW2ELeVgI+8nFcufhrmKw5jiQOw8/LAZ7\nysW2koeFsGwufmyL5NTUVLF58+YOn3/33XciKipKGI1GUV5eLoKDg8Xdu3fN3n5LS4sIDg4W5eXl\nwmg0iqioKHH27Fmzt9OZgIAAUV1d3eaz5cuXi40bNwohhEhLSxNvvPGGWdssLi4WJ0+ebJMYu2rT\nEuegs/atPQauXbsmTp06JYQQ4ubNmyI0NFScPXvWav3QVfvW7oeGhgYhhBDNzc3imWeeEXq93qpj\noasYrN0PmzdvFikpKWLixIlCCOv+PtgKufOwEPaVi+XOw13FYM1xIHceflgM9paLbSEPC2HZXPxY\nv5ZadHKnyJdffomXXnoJDg4OCAgIwKBBg3D8+HGzt338+HEMGjQIAQEBcHBwwLRp0/Dll1+avZ2u\ntD92U+Y87Y5Ro0ZBpVKZ1KYlzkFn7QPWHQNeXl6Ijo4GAPTt2xdhYWG4evWq1fqhq/YB6/bD/WkY\njUYj7t69C5VKZdWx0FUMgPX64cqVK8jPz8e8efOkNq3dB7ZCzjwM2FculjsPdxUDYL1xIHceflgM\ngH3lYrnzMGD5XPxYF8nbt29HVFQU5s6dK71S1WAwwNfXV9rG19dXGrzmdPXqVfj5+Vm8nc4oFAqM\nHTsWsbGx+OijjwAAVVVV8PT0BHDvqfWqqiqLx9FVm9Y6B4B8Y6CiogKnTp3CM888I0s/3G9/+PDh\nAKzbD62trYiOjoanpyd++ctfIjw83Op90FkMgPX6YcmSJUhPT4dS+WMKtYXfBznImYcB5mJbGXdy\njAO58/CDMdhjLpY7DwOWz8U2XSQnJCQgIiKiw395eXn47W9/i/Lycpw+fRoDBgzAsmXLutyPJSa6\nl3Py/GPHjuHUqVM4cOAA3n//fej1+jbru5rz1JJ+qk1LxCPXGLh16xamTJmCbdu2wdnZuUM7lu6H\nW7duISkpCdu2bUPfvn2t3g9KpRKnT5/GlStXUFxcjCNHjnRow9J90D4GrVZrtX7Yt28fPDw8EBMT\n0+X8wHL8PliKLedhS+7XFLaWi+Uad3KMA7nz8P0Y7DkXy5mHAevkYovNk2wOD5vj80Hz5s3DxIkT\nAQA+Pj64fPmytO7KlSsWeY1q+3YuX77c5i8USxowYAAAwN3dHb/+9a9x/Phxk+Y8Nbeu2rTWOXjw\nGK01BpqbmzFlyhTMnDlTmjLLmv1wv/0ZM2ZI7cvRDwDg6uqKCRMm4O9//7tsY+F+DCdOnEB8fLz0\nuSX74euvv0ZeXh7y8/Nx584d1NfXY+bMmbL/PliKLefhztqyt1xsC+PO2jlI7jz8YAzMxfLkYcBK\nudgsd03LwGAwSD9v2bJFvPTSS0KIH2/MbmpqEmVlZSIoKEi0traavf3m5mYRFBQkysvLRVNTk9Ue\nFmloaBD19fVCCCFu3bolnn32WfHVV1+J5cuXS091v/vuu2Z/cE8IIcrLyzs8MNJZm5Y6B+3bt/YY\naG1tFTNnzhSLFy9u87m1+qGr9q3ZD//+97+lJ4UbGxvFqFGjxKFDh6w6FrqK4dq1a9I21soJWq1W\neqLa2r8PtkDuPCyE/eViufNwZzFYcxzInYcfFoM95WJbysNCWC4XP7ZF8syZM0VERISIjIwUkydP\nFpWVldK69evXi+DgYDF48GBRUFBgsRjy8/NFaGioCA4OFhs2bLBYOw8qKysTUVFRIioqSoSHh0vt\nVldXizFjxlhsCrhp06aJAQMGCAcHB+Hr6yv+9Kc/PbRNc5+D9u1/8sknVh8Der1eKBQKERUVJU1v\nc+DAAav1Q2ft5+fnW7Ufzpw5I2JiYkRUVJSIiIgQmzZtEkI8fPxZKwY5coJWq5WeqLZmH9gKW8jD\nQthPLpY7D3cWg7Vzsdx5uKsY7C0X21IeFsJyuViWl4kQEREREdkym35wj4iIiIhIDiySiYiIiIja\nYZFMRERERNQOi2QiIiIionZYJBMRERERtcMimYiIiIionf8HMcu7XJJ+1R0AAAAASUVORK5CYII=\n" } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's run hierarchical clustering on the data, using the first three variables, which are:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "subj1.ix[:,:3].columns" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 10, "text": [ "Index([tBodyAcc-mean()-X, tBodyAcc-mean()-Y, tBodyAcc-mean()-Z], dtype=object)" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dendrogram below again shows that there is no 'clustering' of the activities based on the used variables.\n", "\n", "I use the character 'O' repeated n times to encode the activities in the x-axis of the dendrogram, where n goes from 1 to 6. That is 'O' represents LAYING, and 'OOOOOO' represents WALKUP." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.spatial.distance import pdist, squareform\n", "from scipy.cluster.hierarchy import linkage, dendrogram\n", "\n", "actlabels = pd.Categorical.from_array(subj1['activity'])\n", "\n", "distanceMatrix = pdist(subj1.ix[:,:3])\n", "dendrogram(linkage(distanceMatrix, method='complete'), \n", " color_threshold=0.3, \n", " leaf_label_func=lambda x: 'O' * (actlabels.labels[x] + 1),\n", " leaf_font_size=6)\n", "\n", "f = gcf()\n", "f.set_size_inches(8, 4);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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0nXUuF3fGxp7W5O3z8/OpO417xBbabPyzqoqfd3F6OdZgYHxYWJfb2dTUxFu1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\nrkJggg==\n" } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see if variable number 9 and 10 could give us a better clustering. These are:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "subj1.ix[:,[9, 10]].columns" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 20, "text": [ "Index([tBodyAcc-max()-X, tBodyAcc-max()-Y], dtype=object)" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "f, (ax1, ax2) = subplots(ncols=2)\n", "f.set_size_inches(10, 5)\n", "\n", "for act, df in numericActivity:\n", " ax1.scatter(df.index, df.ix[:,9], c=cols[act], label=act)\n", " ax2.scatter(df.index, df.ix[:,10], c=cols[act], label=act)\n", "\n", "ax1.set_ylabel(samsungData.columns[9])\n", "ax2.set_ylabel(samsungData.columns[10])\n", "ax2.legend(loc='lower right')\n", "\n", "f.tight_layout();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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UeLMCy5YtM3YkYQT/nFbxNV8TSyxDGIIllljoLNg2bRslvUryyy+/GDGlEKYpPDycgIAA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uvBgwd07dqOsLBLpKZqGTt2LNOmzchX/6mlwsHQ7ZJshwunlJQU5s//hYsXI2nSpC7vvvtuke9/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\n9tK3GXzjYN4qfIsaqWHuM3Pp27dvo2OIiYkhMDCQ/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} ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see `tBodyAcc-max()-X` values show some grouping for WALK, WALKUP, and WALKDOWN. In particular, the variable values for activity WALKDOWN is very well separated from the others. We still can't separate WALK from WALKUP. The same also for `tBodyAcc-max()-Y`.\n", "\n", "If we look at the dendrogram, taking variables number 9 to 12, we have the same conclusion as just mentioned, namely that WALKDOWN is very well separated from the others (those are labeled with 5 'O's in the horizontal axis). Yet we still can't see any groupings for other activities." ] }, { "cell_type": "code", "collapsed": false, "input": [ "distanceMatrix = pdist(subj1.ix[:,9:12])\n", "dendrogram(linkage(distanceMatrix, method='complete'), \n", " color_threshold=0.3, \n", " leaf_label_func=lambda x: 'O' * (actlabels.labels[x] + 1),\n", " leaf_font_size=6)\n", "\n", "f = gcf()\n", "f.set_size_inches(8, 4);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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D/vZbyM2F1FTPorXl5ZhdLvbX1JxwtW63HbM5GbfbRU3NPoKDz8TLK7DT4a5b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\n" } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll use SVD to figure out which variables have the most importance, i.e. the ones that best separate the activities. To do this we need to normalize the matrix that contains all variable values for all observations, excluding the subject ID and the activity value. \n", "\n", "Such scaling functionality is actually available in `scikit-learn`, but since it's just a simple scaling that we need, we'll just define a short function to do that:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# a simple scale function to normalize a matrix\n", "def scale(matrix):\n", " from numpy import mean, std\n", " return (matrix - mean(matrix, axis=0)) / std(matrix, axis=0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "U, D, Vt = np.linalg.svd(subj1.ix[:,:-2].apply(scale), full_matrices=False)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/pandas/core/frame.py:3576: FutureWarning: rename with inplace=True will return None from pandas 0.11 onward\n", " \" from pandas 0.11 onward\", FutureWarning)\n" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we make scatter plots of the first and the second columns of the U matrix, grouped by activities, we'll see that WALKUP is very well separated from other activities:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "f, (ax1, ax2) = subplots(ncols=2)\n", "f.set_size_inches(10, 5)\n", "\n", "for lb, cl in zip(list(actlabels.levels), 'b g r c m y k'.split()):\n", " idx = subj1['activity'] == lb\n", " ax1.scatter(subj1.index[idx], U[idx,0], c=cl, label=lb)\n", " ax2.scatter(subj1.index[idx], U[idx,1], c=cl, label=lb)\n", " \n", "ax1.set_ylabel('U[:,0]')\n", "ax2.set_ylabel('U[:,1]')\n", "ax2.legend(loc='lower right')\n", "\n", "f.tight_layout();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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5ww83JYD9P+nPhBETKGcvR9HcRXmh2Qv/Oe3ZqVOnaNv2LVq3fovExAukzsTs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ZlfEL7kfGAgibVqaW4GBNQKBbKYD79bMrLOH9i0NnnaNMbPmIFemTKor12jT8eOTB4/XtdhJdvr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\niIjIDyfJRERERER+/gs8g0zsesfJFwAAAABJRU5ErkJggg==\n" } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now what we can also do, is to look for which variable that contributes most significantly for this separation. To do this, we'll look at the Vt matrix. The following steps will plot the first-row values of the Vt matrix, and get the location/index of the maximum value. This index corresponds to the variable number that best separates the WALKUP activity." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(Vt[1,:], 'ok');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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MLl5bawSrdk+t7I3pC8KsjIfXWkwkk6E026SXQW3aL/vhmc1ERoxGTZSKv6W4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\nYgW777772MqVK9nly5dVjzt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} ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "maxContrib = np.argmax(Vt[1,:])\n", "maxContrib" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 31, "text": [ "295" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we now include this variable (i.e. number 295) hopefully we can add the separation of WALKUP to our previously obtained separation of WALKDOWN. To see it we'll compute another hierarchical cluster and plot its dendrogram:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "distanceMatrix = pdist(subj1.take(range(9,12) + [maxContrib], axis=1))\n", "dendrogram(linkage(distanceMatrix, method='complete'), \n", " color_threshold=0.3, \n", " leaf_label_func=lambda x: 'O' * (actlabels.labels[x] + 1),\n", " leaf_font_size=6)\n", "\n", "f = gcf()\n", "f.set_size_inches(8, 4);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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/vyr6oS+gqvY61WexWIiMjMJoHMyhQycZMaJ8vFlF5evbv6a1d+tKx41dPha1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\n8eOkpaVx4sQJLBYLDQ0NOBwOmpubmTJlivjy0ul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} ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And it works! We can see now that WALKDOWN (with 6 'O's on the left hand side of the horizontal axis) is completely separated from WALK (4 'O's) and WALKUP (5 'O's). \n", "\n", "Since we are curious, let's check out what variable it is that separates WALKDOWN from everything else, the one that we discovered through SVD:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "samsungData.columns[maxContrib]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 36, "text": [ "'fBodyAcc-meanFreq()-Z'" ] } ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's got something to do with the Z-axis, which kind a make sense, sort of." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
K-means\n", "\n", "Another approach is to use K-means clustering. Here we'll just 'throw out' the feature/variable matrix to the K-means algorithm implementation from `scipy`, knowing that we have 6 cluster centres (i.e. 6 activities). Then we'll show in tabular form which activity is classified in which cluster." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.cluster.vq import kmeans, vq\n", "\n", "data = np.matrix(subj1.ix[:,:-2])\n", "\n", "centers, _ = kmeans(data, 6, iter=100)\n", "cluster, _ = vq(data, centers)\n", "\n", "df = pd.crosstab(cluster, subj1['activity'])\n", "df" ], "language": "python", "metadata": {}, "outputs": [ { "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", " \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", "
activitylayingsittingstandingwalkwalkdownwalkup
row_0
0 0 0 0 0 48 0
1 4 0 0 0 0 53
2 0 0 0 95 1 0
3 27 0 0 0 0 0
4 19 13 3 0 0 0
5 0 34 50 0 0 0
\n", "
" ], "output_type": "pyout", "prompt_number": 37, "text": [ "activity laying sitting standing walk walkdown walkup\n", "row_0 \n", "0 0 0 0 0 48 0\n", "1 4 0 0 0 0 53\n", "2 0 0 0 95 1 0\n", "3 27 0 0 0 0 0\n", "4 19 13 3 0 0 0\n", "5 0 34 50 0 0 0" ] } ], "prompt_number": 37 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To read the table, we look at the columns, which show the 'True' activities, and go down through the rows to see in which cluster centre(s) the activity is assigned by the K-means algorithm. We can see that WALK, WALKDOWN, and WALKUP are classified almost exclusively to one cluster. We don't see so many classification errors for STANDING as well. SITTING and LAYING, on the other hand, are not so easy to cluster. As we see there are quite some misclassifications for these activities.\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "idmax = np.argmax(df['laying'])\n", "\n", "plot(centers[idmax,:10], 'ok')\n", "ylabel('Cluster Center');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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33WTatWtnQkNDzcqVK+2OZHbt2mUcDoeJi4vznOa3ZcsWu2OZffv2mUGDBpm4\nuDgTGxtrFi5caHckD7fb3WzOVjp69KiJi4szcXFxJjo6uln8f26MMZ999plJTEw0AwcONPfff3+z\nOFvp3LlzpkePHubMmTN2R/FYsGCB51TWSZMmmcrKSrsjGWOMueuuu0xUVJSJi4szO3bsuObY6/Zr\nQgEATee6O6wEAGh6lAMAwIJyAABYUA4AAAvKAQBgQTkAACz+H7B8uHm/9t+lAAAAAElFTkSuQmCC\n" } ], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "idmax = np.argmax(df['walk'])\n", "\n", "plot(centers[idmax,:10], 'ok')\n", "ylabel('Cluster Center');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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