{ "metadata": { "name": "", "signature": "sha256:9b2883f1589d70c90550fb9818af3301f1ebee3a11e1ffa8a04b999e81c2799b" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook exists to take the graphs from all the other notebooks and process them into tikz files for plotting in the report.\n", "This involves loading the numpy files which have been saved and plotting the graphs again.\n", "The default settings at the top of this notebook will be propagated to all the saved graphs, so it's very important that this is chosen appropriately.\n", "\n", "### Why not just save in each notebook?\n", "\n", "It can take a long time to produce the results being graphed in each of the notebooks.\n", "To recreate the results would involve running, in some cases, the entire notebook again.\n", "Therefore, to make it easy to change annotations or formatting of the plots it is better to save the results in those notebook and plot the graphs here.\n", "However, in those notebooks after running analysis we still would like to have the results so the graphs will be plotted in those notebooks as well.\n", "\n", "Of course, it would still save time to save the graphs once in the notebook in which the results are generated as pgf.\n", "Unfortunately, many of the results were saved before it was clear what the best way to plot the results would be so they have been saved to be plotted in this notebook.\n", "Also the backend for notebooks running pylab (which is all of them) can't be changed while the kernel is running.\n", "In new notebooks it would be preferable to save both the data and the final plots to pgf but it's not clear whether that will be possible and it may be easier to simply do all graph processing in this notebook.\n", "\n", "# Initialisation\n", "\n", "Starting with just the default values from the [parallel ML tutorial][parml]:\n", "\n", "[parml]: https://github.com/ogrisel/parallel_ml_tutorial" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib\n", "# Set backend to pgf\n", "matplotlib.use('pgf')\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "# Some nice default configuration for plots\n", "plt.rcParams['figure.figsize'] = 6, 4.5\n", "plt.rcParams['axes.grid'] = True\n", "plt.gray()" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "#testing custom preamble from here: http://matplotlib.org/users/pgf.html\n", "pgf_with_custom_preamble = {\n", " \"font.family\": \"serif\", # use serif/main font for text elements\n", " \"text.usetex\": True, # use inline math for ticks\n", " \"pgf.rcfonts\": False, # don't setup fonts from rc parameters\n", " \"pgf.preamble\": [\n", " r\"\\usepackage{units}\", # load additional packages\n", " r\"\\usepackage{metalogo}\",\n", " r\"\\usepackage{unicode-math}\", # unicode math setup\n", " r\"\\setmathfont{xits-math.otf}\",\n", " r\"\\setmainfont{DejaVu Serif}\", # serif font via preamble\n", " ],\n", " \"figure.figsize\":(6,4.5)\n", "}\n", "\n", "matplotlib.rcParams.update(pgf_with_custom_preamble)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 129 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "cd ../../plots/bayes" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "/home/gavin/Documents/MRes/plots/bayes\n" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "import os" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "imagedir = os.path.abspath(\"../../opencast-bio/report/images/\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Logistic Regression\n", "\n", "The graphs from the [Classifier Training][classtrain] notebook fitting a logistic regression model to the DIP training data.\n", "\n", "## Learning Curve\n", "\n", "Loading the saved data file and plotting with a sample of the same code:\n", "\n", "[classtrain]: http://nbviewer.ipython.org/github/ggray1729/opencast-bio/blob/master/notebooks/Classifier%20Training.ipynb" ] }, { "cell_type": "code", "collapsed": false, "input": [ "lrlc = np.load(\"lrlc.npz\")" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "mean_scores = lrlc['arr_0'][()]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defining the function to plot the learning curve:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plotlearningcurve(mean_scores):\n", " import pylab as pl\n", " # now the mean_scores dictionary contains everything required to build the plot\n", " trainsizes = sorted(mean_scores.keys())\n", " mean_train = np.array([mean_scores[train_size][0] for train_size in trainsizes])\n", " mean_test = np.array([mean_scores[train_size][2] for train_size in trainsizes])\n", " train_confidence = np.array([mean_scores[train_size][1]*2 for train_size in trainsizes])\n", " test_confidence = np.array([mean_scores[train_size][3]*2 for train_size in trainsizes])\n", "\n", " #plot the training scores\n", " pl.figure()\n", " pl.fill_between(trainsizes, mean_train - train_confidence, mean_train + train_confidence,\n", " color = 'b', alpha = .2)\n", " pl.plot(trainsizes, mean_train, 'o-k', c='b', label='Train score')\n", "\n", " #plot the test scores\n", " pl.fill_between(trainsizes, mean_test - test_confidence, mean_test + test_confidence,\n", " color = 'g', alpha = .2)\n", " pl.plot(trainsizes, mean_test, 'o-k', c='g', label='Test score')\n", "\n", " #extra annotation\n", " pl.xlabel('Training set size')\n", " pl.ylabel('Score')\n", " pl.xlim(0, max(trainsizes))\n", " pl.ylim((None, 1.0)) # The best possible score is 1.0\n", " pl.legend(loc='best')\n", " pl.title('Main train and test scores +/- 2 standard errors')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "plotlearningcurve(mean_scores)\n", "plt.savefig(\"lrlc.pgf\", format='pgf')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Ga1PdWk6YMKlH3ycSLsMg15NN6Gz9ofiDPvyqGW/wCC34wibIMchx5ZDjKsDjcmPgwmW4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\nrkJggg==\n", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Data Visualisation\n", "\n", "The graphs created in either of the data visualisation notebooks must be saved to pgf to be included in the report." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Out of proportion" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd\n", "from pandas.tools.plotting import andrews_curves" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/lib/python2.7/site-packages/pandas/io/excel.py:626: UserWarning: Installed openpyxl is not supported at this time. Use >=1.6.1 and <2.0.0.\n", " .format(openpyxl_compat.start_ver, openpyxl_compat.stop_ver))\n" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "pd.options.display.mpl_style = 'default'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "fnpz = np.load(\"parrallel.coordinates.plot.oop.npz\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 130 }, { "cell_type": "code", "collapsed": false, "input": [ "X = fnpz['arr_0']\n", "y = fnpz['arr_1']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 131 }, { "cell_type": "code", "collapsed": false, "input": [ "maxes = np.amax(abs(X),axis=0) + 1e-14" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 132 }, { "cell_type": "code", "collapsed": false, "input": [ "plotdata = pd.DataFrame(X/maxes)\n", "plotdata['training labels'] = y" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 133 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Andrew's curves" ] }, { "cell_type": "code", "collapsed": false, "input": [ "andrews_curves(plotdata,'training labels')\n", "#plt.savefig(os.path.join(imagedir,\"out.andrews.curves.tikz\"),format='pgf')\n", "plt.savefig(os.path.join(imagedir,\"out.andrews.curves.png\"),format='png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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O62bxRLHY0D6CvWBXCHbJsXv429kfxyFjrvBzV3VoJ5cG1d16Al7rmZEsxpx5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"text": [ "" ] } ], "prompt_number": 137 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parallel lines" ] }, { "cell_type": "code", "collapsed": false, "input": [ "for rowi,row in enumerate(X):\n", " #normalise row values\n", " row = row/(maxes)\n", " #then just plot it\n", " if y[rowi] > 0.5:\n", " plt.plot(row,color='green',alpha=0.5)\n", " else:\n", " plt.plot(row,color='red',alpha=0.05)\n", "#plt.savefig(os.path.join(imagedir,\"out.parallel.lines.tikz\"),format='pgf')\n", "plt.savefig(os.path.join(imagedir,\"out.parallel.lines.png\"),format='png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WxjbYx3rL2q8HsM825h+ipl0BX6nWeBYuoIfz/jlI8FSxi/SOw/Y2h+uD3jQPMrCQlt2c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\nnCjskxioRo3dgZd6okVhYxXoAmy093FPruQBnDTnPy5YlyPX9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ElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 134 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## In proportion" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fnpz = np.load(\"parrallel.coordinates.plot.ip.npz\")\n", "X = fnpz['arr_0']\n", "y = fnpz['arr_1']\n", "maxes = np.amax(abs(X),axis=0) + 1e-14\n", "plotdata = pd.DataFrame(X/maxes)\n", "plotdata['training labels'] = y" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 95 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Andrew's curves" ] }, { "cell_type": "code", "collapsed": false, "input": [ "andrews_curves(plotdata,'training labels')\n", "#plt.savefig(os.path.join(imagedir,\"in.andrews.curves.tikz\"),format='pgf')\n", "plt.savefig(os.path.join(imagedir,\"in.andrews.curves.png\"),format='png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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SVogy0kTAz8vz+LfiHD7Ts9p8UuO9zem64ZFhD17dLEvFnGLcxZpMWIfJTGgKkoSgR/AO\nsTmqxRp0VqrDm+ykpmAqYsoK1j5QVKZ11aO4FKmOl9QiFBrsPFF2KCvdEH1/54QQgqGhocDffG1h\nAsf0Mj7dPYrfcSQFe3xwMwDgBwsn8Q/5BfxoYC1GxAQ+M30I12T68IZkF7O8/7l4CveX5vG8WsKr\npDS+3r+q+vvpY/i+Usab5QQ+22d8x7qvxcTEEZyOqLF3lCmGxSLVsaDreMnHjS1qZyuDYtrs0AeU\nIv5ybgxARSCMme6RZUo9p9X7UbR9sw3ChrUXqqYxUxuBDrdurMJwfVRBkWcMRp1SfNp8DsDQrH5l\n2umLjLqUQH0DhPyOlAh6oh8VZ/BgeR73leZwn2u5/un5MXxm/jgAIG8WUtY1jKHyPn9eqk6GZH1z\nXC+HWikACNxncXsy/dnsEXwvP2V/t8iwp8/qapW7o4VzknugNI93T7P97b+5eAo/KXi1REopFqlu\n960XlELDNvvTuooTEc07E5rC9IAKIg7L9jGt7JmEnigvYu/ccRSpFjjmKhp7PJMipRTPKHk8rRbw\nfICb7JR5uHlBr8RgsLzYLA5pZYzrhrmUdZCM9dmRkK65xwEskGg6eMcLdgU6CpqCd0+/goLq7YhR\nO5uOShrQx0rzeNi0l6oOwQoYg3cxpLOkW3g24q1S1I09ALfb5ZcWT0IBxRRDCJVB8aPijD2hFEAx\nZm5ALjB+X6I6dDM4qrK5Sh3/jcaEZrTerK7Z0bIWzmhQzTTRKLpSFcn5Vz72/gLCa6KzjuecdAks\nt8ib1jWcMHPWvKIU8YpllrJvpWPW40lTEfLWkH5WLWDcR6D+vDSP/2BsNlqrLWvFcuv8OL4w31hc\na5HqOKKUPBNkEIe0ksfsOa2rgZNMHIJ9Qa9eK57WFDytFHBEK2Ofksdjin9KCKtvsZQVJzO6ilt9\n+pSTk7qCP5s9imlNDUy4d9zsK9ZYMsx3/nUoUh2a+fUsY/wdM03Hxz0qHJuXddF2Ew5L5wt2SjFt\nzpRHaXitJMgP2RqYh9SyLUAVWygaUIQPSnFrECfUct1Hvv2iOIdHywv4wPTBqs//szQHlVKmlmV1\nSqseFMBJc+WxyNCAJjQFZVD89cI4/o+lYdc5ap8s521PGhXe/QFWIraCrsGpy7ImH8BYRYXRzfK6\nVpWS4fcmX6763v1oGqhtopryMYucCBEBPa9rvh73J6iKZzWvkLQyU86a9yxRvWENVAewT83jY7NH\nQ1/DiiP4bn4Kn5s73lBdanHSlQTuPdMHcFwzVqOzuo7TAQevTJjfFWoE0Y1pCn5YmLZNZT8tzjAF\n95SmYkZXcVArOQIZve1y2pz4Z813p4LaZiEWJVoxdbKkwClYplsW3vsfrUNMLwnBftqc2fz9kb2N\nEUbTm4Fqv55yAyly3Uv9e4uzuMtc6quU4uuL1Ud7zeuaR3BbnISGErxuhyUYzzTH6NTTZodzCn2r\npVgawylqPPd0QIqEsNwyewRHTQGmg3p0kAlNcZgJDK23UBUNTJlRt1H4WWkW/5yveFosUJ3pErdf\nLeJec2VjaX0KZe83jAWmGzOW8QtUg+7TzSiqJyWrPgfNCX/MfL8KgrU/wDALvagU8GzAZudp1Zis\nwy7vWRzVSh7BO62reKoUT2K105riib6e1zVMawo0GKvzfKAmbHwX1F+eVvKY0VQUHavbry+eYnrb\nPacWoMHwvgrqgafNlbulYLLe2W3z43aK8BKl9lqf9TRR39D0shTsoJg0vRrGmN4N1NN6i7qGX4fQ\nuAoOr5TFBnxjF11a9KKm2kvun+Wn8HeLp6q+n9DKeMZdPwr85dyY3cFYtVEpWwM/YdoAJ1WvtnOk\nXN2N/lf+NPKmP/mkpjAFfxRmqGZrHgr1btYuQPfcoxDz4SHzuubJ0c56ql+VF/HT4iwKoHjZFJIH\n1JI3mlgHPH5Hrhdi2Ob1QIFgmeT2q0XcaHoyWTmBrNQHk7qGUwFa6jG1jOunD+HB8jz+rcTW8QBg\nypxSHyiHN8e4yTM27v8lP43POPZvAODB4hz+39ljgWW9b+qAxw59LSP/TxkUk+ZEr8J/9QZUVtVB\naS/+cu44XjIVDcvcNaNrzMkzbOCaNa0dUwo4ppVxQlNwVCtjQdfwhflxvGtyP/6zNI+nzLiXSV1l\nOi0EU0P+EBIpGrpjBLvmU2mFUkyaguhgSPesfUoeX5k/WfN3ZVSacyFC8oE7F05U5ZSZcwnbF7Si\nLbh/ybAZHvbxQ/9JccauD3OmZ2z0UUptYcE6bemQQ1OhlOLOhZO218kRrWwHSNWLs54KqMd7hsL7\nLAvOekaeT6mZP6TC00rB1qos5hkBUFO6itO6YSwaN4XpKU1hCmdP73HVc1rXMKdrvt5FzkumNdU2\nzVk+9ZZtXmOYr55XCnjBfC+LVEOB6ljQNcwyVleK2fcsEfVAA0FE45ri0YZ/UZrDAZcJ9BFlwd6b\n8uMZteBJQ+GeQK09IadSpcFw62WZpywFaoGh3FBqBC6VHftTx9QSFF3HHNWYm51MzyzG67Ra/Zfl\nBXxj8RTKlOK0puBtky/jR4UZvGKudKwEhoe0kq80uWOutu3fg7mJbykKX5w/UfMQno4R7EWfis5T\nDRNmtz3CsFmyXoQCGsqdTEdluTyjhLff/3txrsoLYUKp7iALVLeDa55mHNDgZ/6oNbVMMY7KU0Hx\nirnhdYghpJ0RowrVq/YOFNDAjV6NUt/Til5Ri8yBQWF4PjCjA80OOsPwoVdp/RGFeer1JJqB5vFO\nmtRVe2PV8qaa8dG5a74LqmKaaszfLbre70tqEeO6gvtLc3Y+/ylTWKoMLfkLCydwp5kcTjE3kB8r\nL9qeTk4s7dV6iue0ouf+YZnTNc8k4zbNAMAJTakS0t8rTFW9O0WreJ05cZataJptLnXvG30nfxon\nGX1r3mztF5SCJyr8fxUm8Z38JMqmuZIAuLc0i6/mjdUyq5/vj6jUjENF3hxDeWqsRBdQcbM9rpVw\n3fTBwC3Rfyr6+Z2ZMIeAKdjNNv5RcSYwOyrQIYJdpxUXRDdTugorAHks5C5ymbLdAoNwe1IEUaB6\nVUcZcwnvMtVtoXLSWWfLRhiibqzXVoY3fUJR1217PCvC8gStfDZtarHWkFQpAlMgPKnk8Yk59pL7\ne4Vp/JThzgcYWTKPuIT3Lx0eGxOMAVViCDgmjJ/MMDJ4TiqKR8BN6hqmzPYLWhmF4ZBa8hWg7mhi\nS4P78sJJHDHjLqwWKMOw8V4/fdDWcBf1yoaqQo00F0cY9m8A9vNY9BMRPyv6m2yCmKGqZ5pj7emc\nMjffAUNT/qv5cXulduv8OH5qrhqcx1LqDrszYGyEWuf8zrn92kFxnGFWtHryY+VF/JMrLcG+ch77\nlEWUKcWcrmG9mMSEptrusnldxxOuiXEqxCr9bxYqa7cpAPvKi4Z3mlk/Z3tN6lr9acdDdMSipZRQ\nDVoNV+yOEOwlqmPKx86ooNJ4UzDyoNSiqGtVroo/LEz7mnosxgPsnDO6ir9fqGyAFh1eFQBwkFYL\nsVnotqmmStQSAkpppFTCTiiAeVcP+Pf8jJ1KeIxhM7RE70tK0bP5pkIP9Buep5pHcEzrKr6Xn8Ii\n9bcNH9cV/Kq8aJsTAODjjgmCFTc7r6uYrzG5qlbAECFV2vgMQ8CepGVP3ad0fz2nZuyBy6d97/w4\npl1Cb9q8nztlgKW0OE1wuuP/OozAuRPmxFxCJZmcpbErqMRJnNYU/NH0AfNe1e+8SCnuLkzhT2YO\nR4osBdgeHKwSJhztaAl4ayKa1lUcNoWb8ywEd8sfUUuBgXbPlBcNm7Kj3a22m6AKnlarBejj5QX8\nqryIMoxN7S1yyggEs8wyWgkfdXkNhdnE3OeaDOZNjf0Ew0Ovoph4zYXPKHl8dWHCc02tGAZnvyw5\nZEqtKOCOEOzTmopjxdqdUIMxADwQAtUhoF5Ui3BuId22cCJwk1DR9cAAjzFNwb2OjasC1TGulnG9\n6dly1B5yFRcnv7S0Jaoh38AZptT1r+8VTsNKcTUOrwnEeurb5sdxT756GagC9sYVixlNrVrJfH7+\nOJ5XCvh+cQqLuu7xWXfymLKI3Y5Nt3nHID7Eupeu2ZvALBZ1Df9tthIX6/R6Ym0oj2mqR8BO6ipy\nPukOomYNVEA9b/jtky9jSlNsH3kLKyti0B0WqY6D5ipnQddtgVQ2NXbntdNUw2FzEne3WQk6ClTH\nSU1havhu/CY0jVI7eK+CZROvjCVrU7ISpEcxYX4/7thELLve0UtaiRkYZrFfK1VNBtTRBgpgp7u2\nyIMiD8PGvkgptkhpzOkVV9aXlCLmqYYfFKbxDdOZIcya3p2vyNpTYeUxCjKPHNMUPKN6Zdz/qKGo\nOl1356lqj+8TNXIDNTWlwI033oh0Og1BECCKIvbu3cv83bhWxsGQPuruJb7FdLmIlakMAGPz1EnB\nYRphkYeO0z7L6humD+Ed6T6PXfwVtWwLDj+rGXMDqDQTeJhHVI6hYuedBZD3GSxjehmiyzePwt8U\nc8vsESh69V7FvcVZbBZTOKWp6CFSYPTdEa2MYz6+/OPQ4dYpTpVLmA2YKMY1xTgxytTiZkslpFNp\nAIYw8/y+VES/I5z/a/MnMaWrOF9O4wnGcrnQoNsnYExexzXF9re2CEps5eQZJY+3oR9TVIVovpYS\nIxV0wQz6+nFhBj9zmcPKMMwnadBQrqxFqiMJgj9zabMzmoIfFtmmNutpHi0v2BOl5Yp4SClBMu87\nRsu4ZeYI/kffOuRd7+iVchHnSRnfep2iqh3pCUI8B7NYdTipKbjdkcxMgzHxbJZSKJnaO2BM6hRG\nlG44syvF3y6c9Ez41l8sKVRVQ9cKr+wT4VzLe8Zp1lvQFHvyOKmVsTbguqbnivnUpz6FXM57zqeT\nl5UCfh0yYx7L5gcAz5cLtmBneQ+c0BQ86BOZZ2if7AnjkFbCM+W8R0M4rBZqhru/c3K/57Opwkkc\no+GTNdXC2WplgGmbBACNghlJW/TRIx8uLaCHVOfjKJoh2DNUwwtKPlBDOa0pvrEEhvewKdjNAXBY\nVzHlMxFQSnHc5WlwoJjHimQK3y1MMgPJjusKBhzv9KuF08gQAavFBFOwz1KtMhgbOPP1qFbyrBTm\nQ57wap0a5dzUH9O8rZjXjY3HA2oRYy6FyNrY01BZJamUQgNFkrFaKVIdGggeco2/am8pClbk7Sdm\nj+FVYgqAYYJZhyQO62X7l0UAT5cNe/uCSzAf0UsYD8jzNKYWcdyxOp/yWVlOaAqedb3PvK6jz0zq\nZq3wrYnlsFrEZMhJfEwr+zoPsAg6HuaQVna4V1rtqQfGMGiu4L5JtWxvoKZpcK6cpptiwng6PFhe\nwNOM4cm6Nk913DY/jv90CeknHEEULF/YF5U8fupzXuKvSgt2EJSbaV3FS6p34fWCWqqZopfpUaBO\nYi5AM22Ug4wAlX/OTxpLdMbvvUmXDO+UIqhnMlNAbZPVImigjbIQUphZtshXlDwOM5aqgLm8twaY\nKXTvL09ilmr4qitGwGISGo67vJUyFL6rpRNK0WMXDYszb/yL5YLx3mnF0TNsDPKYVsIts9Vp2Fh9\n2fKCmqGqY9Ko1F2FMU4sjf2HxWn7CEY3RUrxomvz/wtz43jQ9od3CHVabbqZpRqeNt/ZlGNj3lnj\neVPEuLXkCV0NPJVrFsCnHFGwfqueA2rJo2DloaObiKBmXQgqjgOPlxbxrFKo7eZLDSUySupo6vlH\nhReVQsUcbH2vB6cfcWvzpzQFp80+fbpGIFpTNXZCCPbs2QNBEHDllVfiyiuvZP7uZa1YJdZ1SiEQ\nwtQIVQCndBWndQX3Opahj9GKoGclBjuilTHp0znuWDwBv7AOFWDmup4JYaFjibax0gLmkvWnfLWp\nVqJsXmK4hH5r8TSKPsE0rDYu2wLJ+50V8l2ru0f1DTiilTHrIwKLuo6Dro3hB6HgA1T3tY1PQsWY\n6xVJIC6tqcILYSM2XRt6gLEsT5oC72m1gDno5m+iTRSLgEdhOc7YEB83Bdnz5YJvO1MYEck/Kczg\niFryDcYpUA1PuzTefy5OocdH53NvcFsT+CxTo9ZhdVJbsJvtNwc9MDDLCFaqvNsxhV3/GV0xR6LV\n1gR5qqPrTyMNAAAgAElEQVTLkYaZoGITnzZNl5+dr506wS+1tR9Bqsy07vU4AiEoUt3XIcStOB5U\nClhtvqtXqIIrAu7XVMG+Z88e9PX1YW5uDnv27MHo6Ci2bNni+Z17ViyD4tflRdzvE2xRpjqKlOKz\nC5XNHafRgzWcfl1cwCkfYVwraRfLLYqp9/kIWycP62Is6U/9+D7DT3aKqr7V0uA9uNnSjli19HNL\njYSZvtfJKyjDzxg3p6s47JqwpgAcUvz1qXkAr7jeEgHxjWx8yrMprwEhU8PmocNS2k9pip13vtZr\ndmuxrJqxcqdYATgHdSvEjv12Hy0t4PulGawlEiZ9nvugWsJLLu1VA4zJCd7i3+LKw+N0Qfyxj00e\nAA67IqCLgG9OfotZR4sc99mDe9k2t1UqKcBwFqiup/EyLOFaK5EYAOQj7oUFCfYxjS1lFnSNGQ/y\nrFKA4lrZPwYNomkym6vh+t1Uwd7X1wcA6O7uxo4dO7B//34fwe6EoqBrOKWpvptvR9Qy+mm1llFL\n3JwAO8IQqL1UDrKyPRIhox4APJJYEdZIURes2ni3KitQuJZ8FIF+0ItNqn3QwngKOl5maE+1zset\n9CtDOp2GCsXHgf1wxJO7nJT0SkDaLLSQ0RYIdULXcZdgVym1g5JUoCJ4GfJ9zFyPnaSqbx//xuIp\nzDFs3X7P4Ldv8oySt71hKlQqdICxkhyvITidV/w7o08+Xl7EIWulZQlqQkBgBPFYUFSex84NFUK5\naiwmuxo/LzlWVOxRtYTPzI1hlStV7wkA+1Sjz0zXGIdNs7GXSiUUCkbTFItFPPXUU1izZk2oa2d0\n1XbbYjFLNV+h/zgjOg8w/Ln9hH8j+vM3Ftg2Xj80IaaN04gbfEHdwO2NEqSVx3OcsbfuQRPztKpi\nivEE+yMeUh00Qfut5pyous5s9zmq4qSpkRYA+Pt6oMqO/2SN5FrPKHlPQNruuWOhc5xYT1SG//tf\n0FWwD6qLxpRPFK7FcYYZdDL0FAi8xPjtn88exRhjReO287PGN8u+7451ad66uoKOSp53i7+aH8cB\nrYRfq17FxQrLqqWRN01jn52dxW233QbA2Fx63eteh23btoW69nOzx3FputvXLUmFI32ta6Dd5HNs\nHLtjh7Cd1IClidRFA54YjeKOlHQvzZuD2fYhnnuCsvXEwxGORKxFGN+HAtWYNvZpTcVJteKr7ruO\ncF37XI0gk0/OjcEt+n9emo9wAJ5BkMDNIziRWViYb8Lx0k4xWrjRnJFW6gA3YZ6HpbFHPYUqLH7K\nJmDU1X2S1bi5b+COyAUqbVZL6jRNsA8ODtqCPRoE+/QiEiXBN8CiQHWcsG2AlcHyjbmTkQ6TZhNN\n2PsdeuyLnyBjCIxWcdy1cfiM1mzBHu05/Q5/DooWriLsK61qf+8F0yr7VKWxUgHHHeLTt1auaw9q\nxcDKsezABTMKtR7eN/UKPpgdxGsSFffjxo7lDoeu68zc4436hlX8juLhkO8GemMK4IdmDgV+P+ky\nhVl7XPYExehzbP++Ch1y5qnTpcoQcMc1xbcD62DP9v9UjGFRGfEd1qftBFm94yL8gxxxbmIRwta+\nmkWICc2dZM3CnV7Bl7ATprMuzldkCtjjPl4SLyl5++CM0OXD1OwDXpOfa2a9AvEZtYi/X5xAtnpL\npbkQghJVWc7MaHS1zLpXI3x2oVbmRVadG3+OvOsteNqKMUZq9bYOEexegsKNAXaHjKw9x0Dr7xiW\noM5W3RlfVBxbrlWdKGynraNzW5eEGIwnIh5Y3iwOMjJ1AsBLegHlegd3wPOHWn1GFGZH1SI+MM86\nsrx5zDs3pqN2rbDEsNqtGalLzf/UWNnVxB2V6vosDpNQ5wl28wHnwurCDiHEtrh1Ii2opy2gWSOo\n+u9HnDqg7wCJcSRGHITRBHv4ekZNE+yOcLQ4DG9OdSZVzx1He0Yvw98hMQR1Cs8vz3uTX3UiVam+\nWc/K+iwGE6ruLCewrPDvuyOSgFWNCXOwRV9u1tG4DU2M1OffdcJ8oWHLZfwuQmfz3YipKraBzhuQ\nmz0MU5HaN3y5Hs2oxsB9xael5uHjGkcI88CP2Gj1crHOyNxfxeVg0GT88izZ7dzAKWutpjMEe2iW\nTsMGwnoMZqcJaxsOKLgVTVbPPSIMkppbuc6yIpRbcoT9hynfneswzHUnfNxyW/NeOmO8VFmuO6NK\nTOraWwqr2Ycl8J2FL7fzBHtgoywVU0sd+GmLUWCsfPx/0ELa6MoZRKisi46q13OEQq0gHM4SIsom\nfLPKDknnCfYO0TKi0STBFfZlh+4UbRKwkSeo1vSBf/BJIBaaEPVkH8AeEx0xYQa0QUfULyJR69yg\nmTHStda9QvS7zhPsS6UzMC0nHVT3GFLQxkbUOjRrYLj413KYg5/DBVH51eVw2ORi9RD3BBjxFCnX\nxdHK82wkx0kDq9WobdrK8RVhTHeeYI+Fpaj1MwjbyYJ+V/XdUjHPNFCntq/4qu9/MGKGQP9iGxG6\nMVF32zqua5eiEbbqDdUvhvEV0wpgeQr22Md2IwK2gcosFVNMu+vpLDfyUjraz33v61PeEZTYN4lD\nwDnLiGNCC10n6v1naAeuuDf42+QwEJomrFaXpCkmNC18e43M9h3VyVoIcwB3cmMEuD42UO9TjKL9\ny+xAezVz0oxaF7+JN4b+0Iou1W5zpruvnLmmmAaIXftsAY0ITOalnbnZ2dz7d8D7bFszNrAiDRoH\nsZs1OpxmVdndjstbY++wWdTvs0bKi4NOmoBirwutv9yom8ud1I7tJo69H6AOQdiKTdYWUlefChfp\n2sGCvU2N3oiAjdubI2xdgoRUPc8T9ZJO3xALLCNEIYS0f1XSTIJMRY1s5nX6ZNjSVxqXIriUUgrU\nA9dw20QrN+maCG1A2z8TaNbqajlPkIE0yQvMh84V7LWetaHcKsuMuAdLYJBEDOV3wuDmAj0cjXgc\nVRcU7eet8MxtJJK0Q4PuLDpXsNdq9MhLxU7013YQhwmoHtsnF3Dh6PR2qsdVsV7qMu914Aopqqkz\n7GeNpAIJ9fulsnka9+ZX7L6yLSAO7SFqB/QrLyqNDPS46YTVgJuODh6qg0YSXy1npSLq5NXE6PDO\nEOyNLHWqMvtFvO9y6ViN5LdomrtawH1r5p2O8V6dQEfVJezvwkYzh/g9ECzEOn0ctjT4Kx46Q7DH\nTad3lEaIw7RTS2OPkGwoUp1a8V46KUdOEJ1evyAaMZM2osTF3Wad8g6iTBwhD/boDMHeKQ281GFp\n4rUGUhwaVCdppEE0s54tbYMmpShg3qpN2nmny4R2bZ6GdL3tDMFeawN0qQiOsLTb5hq3v32nD8K4\nqLcfsvpyI0E+rRwOYfdowmrxYe8RtYx6aPe+RD0seY29FZssrXixrdwkbMUAadeyuRHavVHL6svN\n2r+IqwzWiq9ZwUqdboqJ475xKloh2qtph1k/+eST+Na3vgVd17Fz505cffXV/j9mzUKttMfGRdjn\nCDnrBv4urk4Zti5Ry4ij3LjqUk/6gJjSpzZ0XTsJasew7zvsZ22LXI65j7ZKZrXLFKPrOr7xjW9g\n165duOOOO/CLX/wCx44di1ZILU2h3bTCfhiHBt6Kdux080wc5o9atPt547h/J7jLRn1XjdCKVVMc\nwU110BTBvn//fgwPD2NwcBCSJOGyyy7D448/7n9Brc4T1le9lZt+bXphzHs1MlE0y3zTSfbQBswf\nyTDlAtHdAxuB9RidblaMam5ZipusQeOrljyLmaYI9qmpKQwMDNh/9/f3Y2pqKloh9WiaUTvembqJ\nWI/GtVT2OcIqAWHKoBQrg37XtniAeIuLxf7dyD1Y94t7zLd7bLbY6tAZm6f10G43vbg12FZOSvVo\n+6004wT9rpGVSh3PsBZy7XKXOlGFYzMn405UIOKwDrS4rzRFsPf392NyctL+e3JyEv39/dEKacR9\nqp7fRSXuF9usF19LOw+7Wx/H88Ztvopq06yjjc8W09Huv1QI23b1uDYGEceKqp57tLu85aCxb9y4\nESdOnMDExARUVcVDDz2E7du3h7t4qWyetNvGXou43dDisCE3a4OviZydyHg/bOW7b+Xz1rN6a9Yq\nuZH+G6dHkx+NrLBbsF/VFHdHURTxR3/0R/jsZz9ruzuuXr063MVx+/myyrPcnBpxd2qFq2TcxKFp\nNToZxula2QKhtyqZAvIh6t2IW2s7iMv80YpnDLpHHK7D9Vwb5PpZq4wWmHGa5sf+6le/Gq9+9auj\nXxjHS6xFK8werbw2LM3yWQ9LFI3Q77esCTqu+zLoJWJ7hXND7R2yXJaiE3YzuFlCqp66NIs47t/i\nybPzNk/b/RIboZNMMSziNj21g0bMAFHKNskKkvdz67Zx7Zs0q22DimUJ51bUN24zSae7ecZBHe3T\neYI9bhtcp9vCLdrt913r93FMuI3UibVx14KAoxQhwSvIOOh0hcWiWSawVtjEo97fSRzuoPW4b9f7\ne3SiYG8WzdT0OpGo3gftXtLW+n0j7o4sQg4WmQj1CXBKO1OBsIjb/XYpU48HXiObpy0Ya2eOYA9L\nuzp07C+b4V3ULEG4FL1EQpYjun9HKWxbTFARQZp+pxDHRB9ZwEX7eVNp5VhfDu6OTaOBJTWzo3bS\nwGu3rbCTIkBZ2nncRCnb+Shx9ZnIz9ahGnRk80wHjblWUk+/aaD/d5Zgj2LrisO+upSXm41McvUQ\nh79yHB4UzbRrh6le1f1jFvKBxbXIa4r177DXLFVqyp0W3C/mduwswR6FTgzcYP2sbSaJiCuVTlq9\nNELYx2C+l+a6Tlbdl1lOIxNv/ZdWyghpBw5r3uv0LhV6tdGB+081WLqC3aLmO4mhwUIL5w70Y48a\ndu+kER/d0EEbPp/XTcQ6V93L774RVor1PE8s776OMgLv24D9vd0eXu0utx4C9zuiF7f0BXst4nh5\nrTBhdOJmYyPL8TiepxU29qr2iVnAMidL13cd6z0TUejXuwIKU85Sjm2JCnM1tBz82CPTphfb7s3O\npUgnPU8DAiHylbFPHjFR9/tgTF5xufNF9RkPmjzD0ki/jHtiqWcfkcHSEOztHgtxR9q1klbcv2kp\nGppTbBXu9gnRXoON3qNVtKL9WCatpj9vhPKbXZe4V6u++xfRylwagr3tkj0sHaSRWnTSUrWT6hK4\niRnMWpKKrx410xLUcU0raaAdI9+jHjqprVpIZwn2pf4O4pbrcW/8tnsTKvL9O7NDjEqJ+Aqr2SaN\ntEGT269V5kjPOKhl9gkZB9Fh3evqZE/AtyTgLy+dJdjjot3mj3bREu+LuInq2x7z7evoKysbFOwd\nN+hiD06Ls6wWe5q1xHTJvtcmMRm6zoxTAqrosD5G4h+4nSjLwtJIPopYyov286bS0HI8vmoAQI9Y\nO9t10CHY3USs/EHQ1Al3nRgwCcXiMRb6w4AyIm6YxkaAm269+YGi3Nf13KulZLgyCHBWjZ90mGBv\nMWH7X9sTZIU0p9RyFYv8HB0k2Rtw/YqbKsHswyrBX6B+JDfs+Ku5z/O9gc3+X1qjvxX9O44NxYa0\n94j3qusejJswy6Ou/8MQ1kGTsIv+GkdpdKBgj6+TBVmsfO8Ve8BMyPLCum01MdIv19jl1XSAySQQ\nv/qFqHePUFuwDwj+A++qdG/tmzSbOPZeCEHkgLBG6HQTa2jXS3ZbBPUZ9/W1BHcHCvZoyAD8htlq\nyGiphtdJKwCLCAPYbyKMcauwGr/6xN48AcvrOu6VDSHYV4Yw18RFXe9HsP/TGihFXb5EEeaO2gWF\n+VkMN2PFLYSYlML0K/u3S0ljl+u4pgvEt8MMyEGWzhrUpR00K8o05iWoz/2HBfaWzMa63kwHLu+Z\ngULR65kltYfNb6WqtXLPMPS5bTqgPn7f/NfMypr16QRyUdo6jiRyUah71VKrrPB2dxLh+ZI1JoGO\nEuz9dVwzQGRkfb67SE5X/mhwY6M9NGmi8Cl2hc9S8A3pnmD9oO4kaSFys8RxX/t2Ydqpdpm5EDb2\ny5JdVX+v9djcfZbjInsSleF/QPEHc4M1vSS8tHjoE4JkXfd0qOxNS7tR/advLTvBn96sw7ZUV+DP\nOkqwr/I1qvgzLMjocw8asw3fk3VoMk0RAp1GvQLWYMTHfPDmVA8GwlYhsN1cNyYtbuOYBlfO1Nij\nGFt294z6fucUyh/KsuNasyDoMocry/Qy0Lxz6evGXU8hSvvH9K7ClUKqvGHCTNyRaxBWnoR87LNq\nWCM6Q7CbD71GYuveQV12VJKR82iaRutULW06yF2utfdgF8ya70d8/LOzgljZhY/VR7lBwd6myTdt\nCvYhwu6ZKUYjnS9nIAPoZnznNKT8Voq903GxlMUbUt0AgGHzvklU9pfOlvwHeh8RmzLQCfz3twAg\n4copo1LaeD0C3jnLJHsWiW5GvK2nljNhHcSVptksh9XHnHSGYDcru9HH3WcoYLf4/EQWb22Hl0En\nWGpqIAdUso/x2SqJPQhSREB/BFessKQaDdVlDBa3eBPhGPAxTQQiIRgRZKzxaZN3ptlGxRQRPEpI\nN4DhENuflySy2J4wFJ/zTBPjiCCjzxTyFya8SpHVOtvlNNb4TEKNIABIB3zf51LJpqDXFEj1kgOw\n1tWOOQAXMNqlFhczrukhou+Yr2cn7y+6VkX6vbud5Rr7PE0R7HfddRc+9KEP4WMf+xg+9rGP4ckn\nnwx13QbG8mITSeCShL8j3jopif+S8hfsdtdqlyBuo7Z/V/9G5u8IgDeLPZ7vBgI00G7bTBPfA61p\nVLA7BLWlOa5w6ZDrIGNVg2aKi5x/mKuM/29gM34j2c38/U1dw8zPVwgSVrls6OdDwmqxtmh4W6Yf\nv5XqRTcRcL6cQRIElya7cFHCMOR0M8xololnayKLzYnoVvhaCCDI+PSZJAjOlat16BIoU9lg9qiI\nk/AoEhhxTZpbSQpvNG3RjQq677rHkg31epOFGCJXp1mqlT/d1hOY7VJrA78pgp0Qgquuugq33nor\nbr31Vlx44YXBF5iVPUvyLqZ6BBGZgIfoEcTA3eRozeeA4UFRfZe4JXb8M8BZPsvzDARc0+sVPv0+\nNnZREJAO44oVcTCeW+P7KhFYw6c/TQQIAAZdWvRnes/C+ZZQM38ede3x2wxHUIEQZntV99Tq9ni1\nnPVog68WczhLru0IKAtGyT9dcQ4uTuaQJgL6BMn2fU4xxsiIufd0lpjAeldf6IJ/OwgIp4UKADJm\nvdyv58GVW/CaZK7KPPLezAD6GPbrEQiRej/rt2/L9OJdrpXSa1M5vFo23n2mwfG1QvRznRbQU8fe\nYFRWuiZQtcbjNM0UQ+tY9rK8Mq5O92GL5L/gqxUFuMruvo0Lzh4iVmbOmIinNO+zBbVKL1g+s4Sx\nV1EhXUdNa7kgb6lRpgTv5Fpd60ofGxFl9BMJlySrBeeolMAmsboPRB3kv5Fxrggr1yYYCkVPQNk3\n5AZxTbp6G3prKoMRlxafgH+7pYiAbiKiX5DwmkQWrzO9b7oY42ClWe7lyW68N7PCrL5R8jAk3/TD\nAozJvxYiCDKmUHaPUIkQpAShqpybcsMYYJj7tsrZ8ME5hEAG8fTvVyWy2JSqXpVsldL2hHeW4G9r\nJ0B0M53j98OEPUU24GztYZVDYUmBBCq7QBMF+7333otbbrkFX/nKV7C4uBj8YwKAUiREb+d8c6oH\nq31cwN6bGWBqKk7W12Ebzvo0yzY5jS2MVYVF6AW/QyAkm2SrSbBVXABGPnGW4GdfY5B2CTEBtTXf\nNATbk4PFKiIEtlk3Y5XQB4HZZv1EQk4QMCDIVc+WIALWy9VipyuihrUy4xQYDsEO4tmEXuEUIK5q\n9gkSulzPNCKnMezatO4hYqBQGBRl/GP/BpwvZ/Aa00y5QpQgA+iHYE8MzghZd5sNSQmscbW+9Swj\nYgJrXOYhVs8QiaGxf6NvPbIMk0wCQkUAmQWscr0fAFgvJ7HSLdgDVuEpQjy2+iFBQsrVtqukpP3c\nLGuARdLpFRMWx8//nOHxJMDoe3HhrP8bkl2Qa9S3buPjnj17MDMz4/n82muvxZve9Ca84x3vAAB8\n97vfxbe//W3ccMMNNctkmVQEQfBtoJtybFumkw1yGtAWav7OyYgoY79W8nx+bWYFZjQVv5zPM6/L\nAJjzfGpoGDooNMY1PYKIgq5Gql8YhlwaigAgC2AewBoisNs6oLNYS26LHBGQhIBT1L/uP1yxGddO\nvQLouv1ZLwCr13SLInpUgkmGrT0FglExgZOutukTZJR1BSXXNQkiIEUE9Agi7l1xDv6f0y8CMCaw\nEVdbdBEhUoplQRCY6WO3ymm8QcrhJ+qC/f2GAO8UFl2SBFmrLvdd6QE8pizil4q/QuTePJNBkCIC\nRsUkTusKpnQNGxzC2f1uRwQZ3aKIh7R5+7O1QgoH9RKGBBlrBAm/1gpIACjDEH4qKJxvo5uIGBIT\nuEDOGALc1aZZQTBWEo4+0i9IkEGgOX48KMhYJyYxoSkgVMNpgJ2ulxj16CEidACLVLG/yomSx6CT\nEQ0zbRLEs7fhJEcEFClrdAZg3ioJoFd2l00ggCABAYAON6ya1JoC1jgm/8+F8NqpW7Dv3r071O92\n7tyJz3/+8/XeBkBl5ksBKEa8dm3EgQYA/61rGB+eOez5fHsii3ldM6SjCxHAaiGB5/Sy57skISCU\nYJ7xki+QMzhZmos1lXsCBIMu+28XEbCC6pgHMOjpiP5YHc699MsREWki4JTmEuyOsdUrSOghIspQ\nMWt+9tdda3Dd/BGzTgTDQgKTuncS3dOzGo+VFvCEUj2JZgUBCUpMIeJY+RCCJBEgE4I+h/ZHCEG/\na1D/ZroXz+Unqp7R+2ZQc3neJ0i4ItWDnyws2EJopGqFaCWv8i9DBrGjCK2fvS+3Ev15Cb9UFiEB\ngaZIi4wgokeQ0CtIKFIdOVHEFtn/ulEpgTWiCBQqnXlYlDEJDRIBRs1JYViQcUxXMCzK0DUFRxw9\ndZWYwFlm226SkhgvKyg7vt8uZ3F9bhA3zx21n26TlMKQKOOwZowTAcD5iQx+N9OPm2eOQNM1nFbZ\nihMAvDXVi6eVPIhAALUi2CUQe/Ky3mfS7LNJImBQlJEGQYEx0gYFGac1l2APqcDnwPY+yxIBN3cN\n4y/mjnm+Y+0o+FkJAEO2rIkox5piipmenrb//eijj2LNmjU1rghuRcuWORTBJ9Vagg0ybHqC6/9u\ndjC8cCxRkfZZPawSElgvspd7CRAMiBJzFk0QAcOhk//URoKxVF3p0lKTEGzTxmCEAAzrad278IOi\njFG3FsRICjUsyhh2PPnmREXYdAsSNvoska9IdmOQoWVliGAPWIsUDMHeQ0SmrblLEPFJh3vZWzPV\nW+pWafXYRN2HbrwqYMnPIkGIbU50Xjlk9tsuEHyzf0PNcgYECf/UtwEfzq7ELV0j+I1kl2fzfECQ\nbFv4KElgo2s/4vJUNy5L5tBDJJxlPtfOZDfWi0l8rvssvF6q9gKSHXW/KJH1ZCcUCbHt/BYXJbJ4\nT6ayz5A29wwA4x2yTHeVdiH4ePcqw35v9jOrdOeKpN8sw5IBKULQL0jYIqchwittWCY/AKHs7iMw\nntOsnk2PIPrGJLjNmsZndqpNz3cZOPYfQ044TQlX+8d//EccOnQIhBCsXLkS119/fe2LzIeVALgX\n95bt98pUD/6zPI+XGGYSN6J5TT/D9ieDoASKJIBC7ZoBqGxOST7mimsy/ShTHVC8xpjXJHJYJybx\n88IMnqbVGr0Mgs/0nIUPTB8MWZNg0kQwtECX8PtI1zDK5XnsK85G8kkn9oZjdedPgYSK0EsQAd1S\nAlCNt+q0g2aIiCsSXfhhebbqGusXOxI5YHGi6rvzzQ2xsXJFW1sBYLOUwjvT/cx9AkII3pruw6fn\njxt1cv2miwiYpjoGiAyRKjha86kq9DsmUAHAxiotufYolEEM7ROo8q6wJubuCJN+RhCxWTDufxHD\nFztlhhQVoGFEltHveH8CjP2s3yK9oGYw0XY5i1VSAqu0BM6WU5gUs/hHdRZpGONGAkHKFKI5IhoC\nUkNVig93PxwSZbw93Y/PzY8DAC5Pdtl7ATIIspLkEQADAMYcf7811YckIXhyvoBhIuOowyQDAOvF\nFCa1vG1uTBIBA4KEv+9bjytOPY8ipVAcmvs6KYlHLLMX45W5pxoRxlpMB7DaR4RaE14XvAv8BGPy\n2hTg8toDMVRGUSdNEex//Md/XPe1gwCOuz6zNPY+UTJczEIIdnOsIMPYkB0gIo5TFSsEGUd1xfM9\ni13d/gEFMoB3ZQbwf4qzxj6w6/s9PasBAOsg4c/z1U+3M9mNbXJ8PsYDgoTVYgIXupbhb0r14Aih\nQHEWPQEeAm6sLpg2bezOZa6lZfiaMmBoTbpjcIuE2JqQIMoYlpNIgaDoaDWrdlvldJX5LQWC3073\nYlpXcV+5MlzOFTP4A8vrIwTujaecIGFGKyMlCFinSTjqUS38ce49/JdUr+kWZ+G/ILbazLnX0eMQ\n4taqKhNjeHuSCEgLBJO6hj4iIy3L9ru4WM7adSGEQCYEf9e3Dj8uzNjjb3M6DZSANUTGy1QxNGdr\ntWH2hwEi4kJHf07W2OT7dPfqqt+yNPaVkDDmeCfvyBhujbfPn8A6KYljSmUMiwDWykm85DDvpQix\nzbkSCERQKIA9Vm/IDuKfC1Pmr0nl/2bMgttDaJOUxKRawmkA632ita0VRT+qBXsShBnYNhpgahkW\nZXOsUYRV2Tsj8tTBEMPXwnopWXPDLgyWxuPWGAQAZ5tLsvMkfyc+d/Nd4QhGcV7TA6DXHHy9QnDo\ndr/knUdfmwzOgi4g2uybJgJu6znLk10QALpMU1EUjd0t2K0MfQlSWRUExfYZpgZ2ZySCCAnEY95y\najTrHZ8niYCzpKQnmnA4oueTW2NPmusSCcBmOTi5khtn//pk92hNLy2LXkZPcfqaW+6oUTW1IJKE\nYMdWdbYAABsWSURBVMiceHLOzXACfKVvHfOa8+Q0dpp9v09KIAWC38n041VyGr+Z7LajYHcksvhQ\ndhBvSffiKkfwTZCnlbsFkozI3B4Y3i0sugTRE0vQQ0SslxJVE8rurlGcY5rIBgTJNr30mtZu/3S5\nlsZf/Qx39qzFJvPf66o07crvrH4wRJJV3yYI8bzT1QDWBRy3uEFMmpNueM+djhPsawXvS7Q2J16f\n7MJNuaFQ5fye2bnc3gCbYQjTBBHQJYi2ycaNAH9fcKcgWiWlbMEyJMgebxQnGVcn9Hppe/mvmRVY\nQSRPXfyEfZoIkInA9HBJmXXrChHpaGFtRFpT4KAgm65cxO7wg4xntu6eIIL/wDGX7247e5ejfc9x\nTBufcWh3Tli2+CDcHkEJYgxwmRAMRywrUmIrB6yB7BTsVh2jnKpTiyQRbA+h6rSv/s+wXkrizaat\nWBQE/HxwK7pECd1EwptTPXaduwQRW+U0bsoN4/WOzJZuxcqJuw+/N7MCb7P2P8wqDQMY8dlbe1em\nH6Ni9dTRJYgYEuQqM+FWOW2bUDOm9xRg9Ns3Bx4gbbDBNV5WiDJWm+23zie4zBobq8y+nTYfaYUg\nV3m4GM8oM2MirPbxu0cQnSfYE16hIxGCt6Z60UNE391hd7Nc49igcX734dQIfi/dD9nUFP0aYESQ\nzYM6vPQLkn3dzkSXrc2fJSbwuR628AG8iXtGHP/20xNvzA1hRyKLVZ7NUPZgDNIYU6YASwQc21b1\ne1SEjaV15wQBounKJRMjUMLSWmRU8olbXTEJ4hvcRIgROfl3Lm3RueF2XqpiUvJb3awI6THgJ75S\nhICYz7RSdrRNg6MjyGXgsoTX6DDAmADdwUuN8M50Py4wzST2neqYmAYEyTfFsxs/U4wMb3DhsCij\n11XueiSw2mdD+g8yK7BalKtWBTflhvHaZBe+0beeeU2OVCLZu0URnwkYr4Cx4jiH4V201Zxwh32E\nrrUqWGuO27S5KhwUJAy5xt9rM71Mxwtr5Xp2xA15oEMEu/PVD5n5Ytzd5pPdo4GpA2T4Hxf1Koe7\nmOX++NpEDufKKW9ghMm5chrbkmzb9025IViGmfdkV+APs4Z9VyAE5wfYy2WXL/jZjokjKPXBru5R\n/O+BTVWf+QnwoBUDIQQ3Zgd9PXvsepr/XwcJX+wxxJOleY0ICeSIgAQhSIDgT7JDeH2iCxlzM7XH\nXuYa/88Kgh2U474r8bEfO10rN8m1kzh1MZ6H1VP8njpBCHJEwGpRrrJzN0pFtHhrc46crgoTv0TO\neHLPDBMJO0I8f1jenOrBVlNIRTnUwc1rEjn894A9Jyd+iehEkFBmq01iFisC3HMHBbkqavUNyS4k\nieAJBLO4KJHBReYYDYpat1SFLkFkruLONc2BScaKKgfgE6YXluU1NQrZXi24tfN3ZVfgQlcuHwLD\ne0ZCsP3dj44Q7M5KWEv/MCHN7jL8vHb/weEuNpA0GumzPauxVcrgtcmuqmutYXRpIodLTbdH91C/\nPNmNIfOFBmVQdOP+7bmJip6+VvT3OXZuUlmMCgnm4QvuATfk6rzvy64MNB8QRz3PT1Y21KwNx5Wi\njNViAm9J9eKNyW68M9OPLklCRhBxYSJjJ2wbMd313ptZgfeYE1/O/U59BpbTQ2BViFOwWKYe1ppE\n8nlXCQhYJyWxRU6jJ8YsiO5sg06SREDGUe+v9K33mJT+omcUG+tYhgfRLUqhToCKC78JJCuIvscH\nOuu3UU4xPdsskkTw9VRj8bZ0H/4gs8LUnivt7W7l8+UMVhAJKRCmmWSlnAKhOiSGIjCEiuJlpcI+\nP5HFJimFVaLsWe2w9iESMCwDb071+LtjBtAR2fm7TXczoKJ99RMReerna+Fli5QG1TQ8SUsIOigs\n4Wik1VICf941gvuKsxgSJDynlbDazPtgZV/bNT+GPsYkc7aYxotauabm43wl7g7otJ+uTaSBQljn\nSyNhV1I3TElzAe20RkritOIf8OFGgGGayFOKsx1LUEvYb5KSuDrdV2USS0BAAgQjQsIelDvMTUjn\nhOQ+RchPY3d6lgR1asvtzh0VCwBpIqLsiibMEQElRoThzmS3fcD0jKo4oh4bE4BrEkmg7A1YA4xV\nSa18H5cGZDWtl24i4vps64/Scz9pOsBd9nWJLvysZMQnDyeTVROgm1WijDeFsJNbWIpjFsTe+DX+\nrg5+PFdKQwTBKV21HTacHm9ZMY1L1MnK9USAQnWU4cxPBdu01C+KSGsC/qzLaYA1YClarxLTuDCR\nxYe6wu0pesqs66qYGRRke/lvLaHWiolAzcKdyGlUSmBd0nhRG4m/liMyGrFbkNBrzt5DjGXXZkbk\n3yWJbChd3SnK3Br7gGM/YV1Iu7clbtaYSa/8Nn8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"text": [ "" ] } ], "prompt_number": 140 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parallel lines plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "for rowi,row in enumerate(X):\n", " #normalise row values\n", " row = row/(maxes)\n", " #then just plot it\n", " if y[rowi] > 0.5:\n", " plt.plot(row,color='green',alpha=0.5)\n", " else:\n", " plt.plot(row,color='red',alpha=0.05)\n", "#plt.savefig(os.path.join(imagedir,\"in.parallel.lines.tikz\"),format='pgf')\n", "plt.savefig(os.path.join(imagedir,\"in.parallel.lines.png\"),format='png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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gKWWHUpYCjG4SxHM2AfUKqyj0+9/ethlYdA5nbdFvQ7Bdm7xEXkD80NNHXSiy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"text": [ "" ] } ], "prompt_number": 94 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Low dimensional plots\n", "\n", "The low dimensional plots are saved in the following section, including:\n", "\n", "* PCA:\n", " * In proportion\n", " * Out of proportion\n", "* t-SNE:\n", " * In proportion\n", " * Out of proportion\n", " \n", "t-SNE should not have any ticks on the axes as the values are meaningless." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Out of proportion - PCA" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nones,nzeros = 1000, 1000" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 96 }, { "cell_type": "code", "collapsed": false, "input": [ "X_pca = np.load(\"pca.oop.npz\")['arr_0']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 97 }, { "cell_type": "code", "collapsed": false, "input": [ "ones = plt.scatter(X_pca[:nones,0],X_pca[:nones,1],c='red',alpha=0.2)\n", "zeros = plt.scatter(X_pca[nones:,0],X_pca[nones:,1],c='blue',marker=\"x\",alpha=0.2)\n", "l=plt.legend((ones,zeros),(\"interactions\",\"non-interactions\"),loc=0)\n", "plt.savefig(os.path.join(imagedir,\"out.pca.png\"),format='png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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XcXMbgytAJBKhu7v7nPsYM/JVotZ1ustln0gk9LjvYhGlXKY6k6MhUEHJZmht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"text": [ "" ] } ], "prompt_number": 98 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### In proportion - PCA" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nones,nzeros = 1000, 600000" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 237 }, { "cell_type": "code", "collapsed": false, "input": [ "X_pca = np.load(\"pca.ip.npz\")['arr_0']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 238 }, { "cell_type": "code", "collapsed": false, "input": [ "ones = plt.scatter(X_pca[:nones,0],X_pca[:nones,1],c='red',alpha=0.2)\n", "zeros = plt.scatter(X_pca[nones:,0],X_pca[nones:,1],c='blue',marker=\"x\",alpha=0.05)\n", "l=plt.legend((ones,zeros),(\"interactions\",\"non-interactions\"),loc=3)\n", "#plt.savefig(os.path.join(imagedir,\"in.pca.tikz\"),format='pgf')\n", "plt.savefig(os.path.join(imagedir,\"in.pca.png\"),format='png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JotqM7YtiREFyNxkbQA0RowpUgLGRAKKJMI4fVxa0bTuwqw0ETBvhqIaAv45s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\npWWvBT8AAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 239 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Out of proportion - t-SNE" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nones,nzeros = 100, 100" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 102 }, { "cell_type": "code", "collapsed": false, "input": [ "X_tsne = np.load(\"tdsne.oop.npz\")['arr_0']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 103 }, { "cell_type": "code", "collapsed": false, "input": [ "ones = plt.scatter(X_tsne[:nones,0],X_tsne[:nones,1],c='red')\n", "zeros = plt.scatter(X_tsne[nones:,0],X_tsne[nones:,1],c='blue',marker=\"x\")\n", "l=plt.legend((ones,zeros),(\"interactions\",\"non-interactions\"),loc=0)\n", "plt.tick_params(labelleft='off',labelbottom='off')\n", "#plt.savefig(os.path.join(imagedir,\"out.tsne.tikz\"),format='pgf')\n", "plt.savefig(os.path.join(imagedir,\"out.tsne.png\"),format='png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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bpEkTT0tIh3TpEoEffYSkKEgOBwGDBiFdvux1OjMjLzrLl3fw+utm3n03gDFj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\nq1m2LJk5c7RUrWqnWTMbGzeqOX5cRa9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1Sj/KtJyxGIRCKVf8TcUKx9MKGUFymskyRVc5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\n9H+ciM5BizWD8gAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 104 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### In proportion - t-SNE" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nones,nzeros = 10, 6000" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 105 }, { "cell_type": "code", "collapsed": false, "input": [ "X_tsne = np.load(\"tdsne.ip.npz\")['arr_0']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 106 }, { "cell_type": "code", "collapsed": false, "input": [ "ones = plt.scatter(X_tsne[:nones,0],X_tsne[:nones,1],c='red',alpha=0.6)\n", "zeros = plt.scatter(X_tsne[nones:,0],X_tsne[nones:,1],c='blue',marker=\"x\",alpha=0.1)\n", "l=plt.legend((ones,zeros),(\"interactions\",\"non-interactions\"),loc=0)\n", "plt.tick_params(labelleft='off',labelbottom='off')\n", "#plt.savefig(os.path.join(imagedir,\"in.tsne.tikz\"),format='pgf')\n", "plt.savefig(os.path.join(imagedir,\"in.tsne.png\"),format='png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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UQlya+wqHgcZG3ryFhdRWtdmuzOAqQ19SQjGT/HyJWIwP6RstlphpcLvN1CV1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\n6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"text": [ "" ] } ], "prompt_number": 107 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Unbalanced weighting\n", "\n", "A graph produced when training using DIP or HIPPIE demonstrating the poor feature importances produced - relying on only the features derived from interaction databases." ] }, { "cell_type": "code", "collapsed": false, "input": [ "dimensions = (4,2.4)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 193 }, { "cell_type": "code", "collapsed": false, "input": [ "rfimportances = np.load(\"../hippie/random.forest.importances.npz\")['arr_0']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 174 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "fig.set_size_inches(*dimensions)\n", "plt.plot(rfimportances)\n", "plt.xlabel(\"Feature index\")\n", "plt.ylabel(\"Importance\")\n", "plt.savefig(os.path.join(imagedir,\"unbalanced.weighting.tikz\"),format='pgf')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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sBp0yWwdI3reRhtWok7wTHpVmPSb8EVSYaNhNesXw8YKA+VAUeh2F6SCL0fkw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\nfPWQknpCslB+MmXFVNvj32t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jS7aCcDmPr5hoyghp8UfV4sXrcrlw+vRp5XUuK/GWA/Hj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\nQgQCYVkhRohAICwrxAgRCIRl5f8DUuA2O2JdrS0AAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 194 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Weightings\n", "\n", "These are the weightings on features actually produced when training the classifier in the final iteration." ] }, { "cell_type": "code", "collapsed": false, "input": [ "logrefweights = np.load(\"logistic.regression.coef.npz\")['arr_0']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 176 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "fig.set_size_inches(*dimensions)\n", "plt.plot(logrefweights)\n", "plt.xlabel(\"Feature index\")\n", "plt.ylabel(\"Coefficient\")\n", "plt.savefig(os.path.join(imagedir,\"logreg.weights.tikz\"),format='pgf')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AiFBJ9hGpOuBIEj7muPMVPpKqwWEIn1yaz7nROXQPzlifxSJoSHFZA80sfEijkoJLIR5N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\n", "text": [ "" ] } ], "prompt_number": 195 }, { "cell_type": "code", "collapsed": false, "input": [ "rfimportances = np.load(\"random.forest.importances.npz\")[\"arr_0\"]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 196 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "fig.set_size_inches(*dimensions)\n", "plt.plot(rfimportances)\n", "plt.xlabel(\"Feature index\")\n", "plt.ylabel(\"Importance\")\n", "plt.savefig(os.path.join(imagedir,\"rf.importances.tikz\"),format='pgf')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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sBp0yWwdI3reRhtWok7wTHpVmPSb8EVSYaNhNesXw8YKA+VAUeh2F6SCL0fkw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\nfPWQknpCslB+MmXFVNvj32t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"text": [ "" ] } ], "prompt_number": 197 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# ROC curves\n", "\n", "The ROC curves produced by the logistic regression and random forest classifiers." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plotroc(fpr,tpr,name):\n", " fig = plt.figure()\n", " fig.set_size_inches(*dimensions)\n", " plt.clf()\n", " plt.plot(fpr, tpr)\n", " plt.plot([0, 1], [0, 1], 'k--')\n", " plt.xlim([0.0, 1.0])\n", " plt.ylim([0.0, 1.0])\n", " plt.xlabel('False Positive Rate')\n", " plt.ylabel('True Positive Rate')\n", " plt.savefig(os.path.join(imagedir,name),format='pgf')\n", " return None" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 198 }, { "cell_type": "code", "collapsed": false, "input": [ "fpr = np.load(\"logistic.regression.roc.npz\")['arr_0']\n", "tpr = np.load(\"logistic.regression.roc.npz\")['arr_1']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 199 }, { "cell_type": "code", "collapsed": false, "input": [ "plotroc(fpr,tpr,\"logreg.roc.tikz\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jJjabDTfn6zFbRVJSEgjJZDQ9lriTtxaLBVqtFpWVlZKaSgRqSqrUEhAMBvHC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\n", "text": [ "" ] } ], "prompt_number": 200 }, { "cell_type": "code", "collapsed": false, "input": [ "fpr = np.load(\"random.forest.roc.npz\")['arr_0'][0]\n", "tpr = np.load(\"random.forest.roc.npz\")['arr_0'][1]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 201 }, { "cell_type": "code", "collapsed": false, "input": [ "plotroc(fpr,tpr,\"rf.roc.tikz\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 202 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Precision-recall curves\n", "\n", "The precision-recall curves for the logistic regression and random forest classifiers." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def drawprecisionrecall(precision,recall,name):\n", " fig = plt.figure()\n", " fig.set_size_inches(*dimensions)\n", " plt.clf()\n", " plt.plot(recall,precision)\n", " plt.xlim([0.0, 1.0])\n", " plt.ylim([0.0, 1.05])\n", " plt.xlabel('Recall')\n", " plt.ylabel('Precision')\n", " plt.savefig(os.path.join(imagedir,name),format='pgf')\n", " return None" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 204 }, { "cell_type": "code", "collapsed": false, "input": [ "with np.load(\"lr_precisionrecall.npz\") as data:\n", " precision = data['arr_0']\n", " recall = data['arr_1']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 205 }, { "cell_type": "code", "collapsed": false, "input": [ "drawprecisionrecall(precision,recall,\"logreg.pr.tikz\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 206 }, { "cell_type": "code", "collapsed": false, "input": [ "with np.load(\"random.forest.precisionrecall.npz\") as data:\n", " precision = data['arr_0']\n", " recall = data['arr_1']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 207 }, { "cell_type": "code", "collapsed": false, "input": [ "drawprecisionrecall(precision,recall,\"rf.pr.tikz\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 208 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bayesian weightings\n", "\n", "The following is a histogram of weightings produced by the bayesian weighting algorithm." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with np.load(\"postweightings.npz\") as nf:\n", " weights = nf['arr_0']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 190 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "fig.set_size_inches(*dimensions)\n", "h=plt.hist(weights,bins=50)\n", "plt.xlabel(\"posterior probability\")\n", "plt.ylabel(\"frequency\")\n", "plt.savefig(os.path.join(imagedir,\"bayes.weights.dist.tikz\"),format='pgf')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 209 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Community comparison graphs\n", "\n", "These are the graphs plotted using networkx to compare two communities by eye." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with np.load(\"nx2933.npz\") as nf:\n", " uw29 = list(nf['arr_0'])\n", " w33 = list(nf['arr_1'])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 210 }, { "cell_type": "code", "collapsed": false, "input": [ "interactions = np.loadtxt(\"../../HBP/testdata/edgelist_update_weighted.txt\",dtype=str)\n", "interactions = interactions[1:]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 211 }, { "cell_type": "code", "collapsed": false, "input": [ "import networkx as nx" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 212 }, { "cell_type": "code", "collapsed": false, "input": [ "def plotcommunities(com1,com2,fname,title):\n", " fig = plt.figure()\n", " fig.set_size_inches(4,3)\n", " plt.title(title, size=12)\n", " G = nx.Graph()\n", " for l in interactions:\n", " if l[0] in set(com1+com2) and l[1] in set(com1+com2):\n", " G.add_edge(l[0],l[1],weight=float(l[2]))\n", " edict = {}\n", " lim = min([d['weight'] for (u,v,d) in G.edges(data=True)])\n", " diff = np.linspace(lim,1.0,10)[1]- np.linspace(lim,1.0,10)[0]\n", " for x in np.linspace(lim,1.0,10):\n", " edict[x] = [(u,v) for (u,v,d) in G.edges(data=True) if d['weight'] > x and d['weight'] < x+diff]\n", " pos = nx.circular_layout(com1)\n", " pos2 = nx.circular_layout(set(com2)-set(com1))\n", " for k in pos2:\n", " pos2[k] = np.array([pos2[k][0]+1.5,pos2[k][1]])\n", " pos = dict(pos.items()+pos2.items())\n", " nx.draw_networkx_nodes(G,pos,node_size=20,alpha=0.5)\n", " for k in edict:\n", " nx.draw_networkx_edges(G,pos,edgelist=edict[k],alpha=(k-lim)*(1/(1-lim)),edge_color='r')\n", " #nx.draw_networkx_edges(G,pos,edgelist=edict[k],edge_color='r')\n", " l=nx.draw_networkx_labels(G,pos,font_size=5,font_family='sans-serif')\n", " plt.tick_params(labelleft='off',labelbottom='off')\n", " plt.savefig(os.path.join(imagedir,fname))\n", " return None" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 213 }, { "cell_type": "code", "collapsed": false, "input": [ "plotcommunities(uw29,w33,\"nx2933.pgf\",\"Unweighted community 29 interactions\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/dQqNjw8Aso8PQmHhn0q0rX7a64TVq1ezcuVKfl6xglvLykgvLWVHbi7Lhw8n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"text": [ "" ] } ], "prompt_number": 214 }, { "cell_type": "code", "collapsed": false, "input": [ "plotcommunities(w33,uw29,\"nx3329.pgf\",\"Weighted community 33 interactions\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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+fUzhvZvUaTeCIPyBPf3n06jV4/rLAsFkyyYkJNC7d2/i4+Mpzs0l68oVEisr\n+dhgYO5zz7HvwAH2LlqE3YoVJG3eTHZ2Nm5ubmheeQVZZiaSlRWys2dRxMWhHTkS+f79SC4uyI8d\nw/q559BOnozexwfZyZOkVlbyyLRpaFq1wnrePMTPP0coK0M7ahSya9eQX7iAbswYhAsXUMbFIdnY\nYOjSBeFmLDBaFGlVWkqumxsfAe4VFWzSaDh08iQt1q3jq82bcXNzo6BDB+QhIUwbMYKa114z23u3\nt/9+Mau++/cjXruGoXt3jG5uCHo9RldXtMOHY+jRAwB5QgIW336LZG2N9sknQRC4vm0bboWFaEeO\nRLK2xnLVKvT9+3N9wACW795N8NmzLK6qYq1Gg3/fvqwuLkZ2+jTptbXoBwwweePrIcvOxtChw531\nLCtDlpKCYt8+aseORX727D3bLzk43Cq0N/l05UrT80pLUW7dyuAdOxDXrEHfoQMRokj5ww8D8O67\n75rv+frrr+/af/9r//9ZNGqhvZ36tmza3r3s3LuX1+VytshkDGvenNmTJ7MlOprHnZyYN3QoXw8d\nar5XduUKuiefRN+rF5YrV6Lr0wfl7t0IGo3pzd2+PdpBg5AfOoRyxw4MXl60qKhA7uyM3t+f6jfe\nwGbiRLCwwNChA2JWFuK1a9TOnIlCowEweVNLSpCdPs0glYrBWi2hRiMzs7OJbtmSnFatGHT2LC5t\n2pC8bx+RK1aw49gxnpkyhTFnzjDV0hLbp55CM38+unp1vx9uF1S9vz+6xx5Dlp6OmJ+PPjAQzSuv\nILVsCQbDL8JqZYV26FCwskLIz0exezeiSoVm7lyTQMXGonnjDQxdu+L49tsMP3iQLZ6eNJck7F1c\ncLp4Ef9Jk1h7/To9FYoG6yZmZaELDLz1Q4MB+alTCJWVVP/f/6E4fNjkOb4HklptfjE2eN7entrn\nnmOrlRU/bdjA66dO4ZGfz6bnnuOZpUvJTk0l4eJF2vboYd4Roy4Bo6SkBHd39/tOhPkradRCe/tb\nrs6WHTVqFN1EET9HR8SMDOKTk/GfMAHV228T3aIF/YcMueNZ4uXLGDw90ffrR5W3N1ZLliCpVBhb\ntkS5b59pBlAq0Q0dirFFCwSNBvf9+5EvWYLh++8xdOiAvndvFAcOIDt/HjEnx5TF07491jt3goUF\nCALaxx7D+sABjHZ2SA4OLCosZK1Gw9Dr1znm4MAzsbFs6tOHkooKxIwM89Yr/oMHo5kzB93w4Vi9\n9x6KXbtSlsEAAAAgAElEQVR47K23uOti53rcIaiDB1M7cSKya9dQxMWBToduzBj0vXqBXG4SlAMH\nTMJqYYF20CCws8Mok6GMikIsKkI7bRqOHh4ov/wSydGR6lWrEK5dw+bpp5Fptex56ikGJySwwMUF\nVCpueHig+O47PP/9b0bb2FCu1Zr6pA6jETE3F0N9YaiuxmrRIoTSUqpWrgQHB8TsbAyPPNLg+Nch\nqdWI9xDaOuxcXflk/36E69c5OXYs8WlpzBo3jo02Nnzw+OPoWrbEfdQoysrKsLOzIyoqCn9/f7Ky\nsnBzc2uUsyz8zWza+rasZGWFUFSEIjqaDHt7ktPSSM3K4tLNlMHbnQuy9HSM3t4ASK1aUf3JJxhd\nXBBLSjC0b4+hY0esli1DuHED2dmzGL29qVmyhMrvvsPo5obFunXIjh1DsrFBfuIE4uXLGFUqFD/+\niFBdjcHNDd3w4Vjs2WNyqshkYDBQolDgAKiBEqORS6JIyokTDE1PJ3z7drp27UpWVpa5zgZfXyoj\nIjB07oxNcDDKb78Fg+GOvrjFRp04EVluLpp//5ua996DmhqTQCqVVC1bRs2iRej79QNBQH7gANYh\nISi3bkX32GPonnwSg4cH4qlTqJYtw+DjQ9XatSCXo/rgA3SPP25KNlm7Fuvnn6f2mWfo/Z//MGH3\nbtx8fPjPhg38X1QUz3z2Gc+88w5Pf/edqe21tbfW98YNJJUKbG1Nx9evo3r1VYw2Nhg6dgQHB8AU\nozX8SqK+0dGxQfX4dupe8lkaDZ3efZdurq6IZWVknz/P18nJ5CQl4ebmZk4x/busymrUQlsXJ6uL\ny16/fp3169djMBj4qbqaqOvXeUan47Fx47iWk8NHKhX+N1f73+JcMBgQs7Iw1F81IZeje+IJDO3a\nIdx0XOg7dUKWnY1i714s/vtfju3ejdSyJdqJE9E+/jhYWmLw8kJx4ACKxEQkV1csly9HEgST2vnq\nq8hSU9F36kT1++8jlJbyuigSLYr8H3A5P58N7u7orK35QKWi2bVr+J0/D5JEQUEBly5dMsVt8/Ko\nff55Dr74Ioq9e7GePBnx0qWGBfXll6nctAmDqyuWn3+OYt8+dMOGUbVhA9pnn0VydjbPrNYzZ6Lc\nvBndo4+iHT0aw8MPIxQUoFqyBKGyksqNG9FOnIjlZ5+h2LWLhOBgJEdHbMeOJfXcOX6cO5d0ScJy\n0SJWubuj+fBDMmtrzWmZutGj0Tz/PGJ+PrLLl28ZSzE72+yEEs+eRTV3LrohQ9A9/bTZc1w3G9ep\nx3eLk0r29vdUj+swv+T37kV28SJCRQX69u1x69CBaT4+fJ+aCvySh1xaWmpOibxX+Q+aRq0e11Hf\nln0/NJSxrq4krF7Nuw89xCC1GjEpiTfefpvHnn0WuNO5IF69avpi2Njc+mCtFsnJidqZM7FcsQJJ\nqcTQqhW1kydjtXgxPT7+GFmrVqZQhbc3UmoqBh8f9N26YblmjSmeWFCAJJMhiSKyI0eQbGwQc3PB\n0RGjiwtfAmJ5OaGCwOyyMqK1Wtq5uxPTqRMGb2/e3bGDDwICmLpxI++tWGHWJKZMmUKVszPVCxdi\ntWQJtjfT/bTjxqF5+WUMvr7IExNR7tyJ7PJldEOGUP1//4dUL95ptlk3bTK9WLp3x+DlhWRnh1Ba\nikV4OEJ5OTXvvouha1dkSUlY/uc/6AcMoGbWLDwWLMDqyhVq3n6b6IQEBmZnc+3oUWrLyogvL2fy\nuXOER0be4tjRjR2LcfFiVHPnUvntt0guLsDNhAk3N+RxcViuWkXN3LkYevVCdvr0L+Ge/HxTkkUD\nYZ76SA4Ov0lohfJyfn7zTYZnZJDt50diQQHn585lQGYmazUaBowff8v1arXaZKo08thtoxbaOpui\nvi37Yf/+bNi4kcDsbFKuXuXT9u0ZMXEiJc2bm6+53YkgXr6M4aZqXB9Br0dSKtH36YP0zTfoHnsM\nqy++oKprV6q+/hqrlStRhIaCKKJ77DFQKjF6eSFPSDA5nfLykBQKJEdHxPPnsf7mGyQbG7QzZmD5\nxRcI1dXUvPUWqtdeY5HRyFqNhoCaGo6LIsu3b2eUnx8ZksS6S5cIGDOGD1auZF18PIM6dkS5bh3D\n9u1DyMtDP3gwVatWodyzB9mxYygUCixXrkRq1QrtE0+YVGKl8peG1QnrN9+AJKHv1s2UkG9nBzIZ\n8qNHUcTHox0/Hu3o0SBJWKxZgzw+Hs3cuYgFBdiMH49FYCCVH36ILCMDd4OBKcuWsdnDg0f69cMv\nLQ1FbCxZ6emEh4fj7+9v7ndj27boevXCZsYMKtetQ2rdGjErC6GwEPnhw1QvWoTxptZTPxtKVm82\nrj/+t/NrQitcu4Zy61ae+OkndIMHo337baQWLdhUVobW1hbXBQuo/+S6l87IkSMb/P41Nhq10NZR\np+bs2LGD5oJA8/x8nHJyUMtkTHvsMTZbWeFe75rbs4tk6ekYvbzufHBtrSnO6+SEZGOD7sknkR8+\njOWnn6JLSaH2uefAaER+6BAWGzdidHXF2KoVQlGRSU2OjwdRNMV9BwxAnpwMDg5YrFkDlZUIFRXI\nb15TqtPhIEk4APaCwDAgIjERz0cfZfIzz7B8xw5eCA7GWaHAxdoacdgw02zUvTsIArITJ0xeU60W\nZUQE+oAAqt9995Z0QLOwbthgElZfXwydOiHZ2iI5OiJcuYLlxo0Y2rWj6ssvkVq0QMzJwXLJEqQW\nLah5+20sV65EvHaN6qVLQRSRnzyJsXlzKuPiODV9OusPH6ZLTo4pgX/QINxdXZkyZQorVqxgzpw5\nAEhWVugHD0Zq0QLr6dOpWr0axa5dGD09qV6+/JbFAUJZGcabM6055/hXMKrViEVFd3wuZmai3LwZ\neVIS2uHDqVq79hfVGzB06YI8LQ3944//ahmNmUYttPXjZHUpZ+988AGKixcpA9xcXNjXqRP+jz1G\nVlbWXdPSxPR004xyG4JOZ56h9D4+yNLS0D31FEJuLkJJCdXBwVj6+CBZWmJs1gyhrAyrV19F0OvB\nwsL012hEERuL4sABhNpadA8/jKRSIcvMRBEXh+LQIYzNm/P6jRtIMhnFtbW41dayv3lzhhQW4nbt\nGhu++oqhubkssLNDKCyk0N2dp197jeMHDtBv82YU+/aZ0y5r3ngDtFosP/sM29GjqQkNRT9okElY\n168HoxG9jw+Gzp2R1GokZ2ckoxHL8HDE7Gw0L75oehFIEooffsBiwwZqJ09GKCvDevp0tGPHmmKl\nKSmcu34d72HDsFy9GntHR/Y//DD9HnqI9MRETh48SLq9Pf6+voSHh5tzeQFT2EijQTtlCkJZGc2G\nDDE5xT77DG5z8tQlVoApJKSvt2TurnHa20I+4tmzWGzZgnjxIrrRo6mcM+cOFTsqKoqDcXEsqK5m\nc92vGXh64mA0Ep+Wxpy33qK0rMy8x5SbmxtvvfUWCxcuvOd39EHwq9vNpKenm7fdOHToEDk5OX/Z\n8ZIlS9i0aRPjxo0jPz+fL5cvZ8qjjzJMJiNDLkfbrRva9u25dOkS9vb2WFtbU15efuvzsrNpv3cv\n2smTOXTiBPlnz+IqCIjp6eRt2oRw5gwqjQbZqVNoIyKounwZ+/37EWpqqMrJwfbIEQSZDLGwkBvO\nzlTZ2WFbUIBQWopOqaS2WTNkrVsj6PVkPPooJyZMwGX0aHQDB1ITG4tYVobYti1PqNWMyMujqygS\nV1DARE9PwlQqflYoaOnpif+GDSTk5zNi9my8EhNJef99HOLj0apUWM2fj3biRA7m5ZFz7Rpt27VD\nP2AASTodLRYtwvbLLxEvXSLT0ZHsDh1wCAzE2LEjP125gmHnTtps2oS+Xz9i+/YlS5Jwa9YMqyVL\nKNy7l/QePXDZtQv56dOc7t2b4upqHFq2RDdgABGXL+MZFYVt8+Z4vPMOuXo9lc2a0enJJ3mqd2+k\n7dsp6N6dkSNH0rJlS/P4eV24gMHbm8STJ7GNjMSiXTtkmZn81LkzmTdu3DI+Qnw8dt7eGDt1onTZ\nMk57eNDqZsjnxx9/pLa29s7vh5cXFmFhJEsSis8+w+Hnn9EFBnKgd28y7O1pe9MUqv99un79Oo90\n6cIj335Li7feopOzM07x8ZSdPs1rPj40c3Xlrc8/x8PDg0uXLuHr60toaCidOnV6IN//e20306j3\nPU5ISDCvOz24YwcBeXlYLl9OqEbDByNHogkN5b01a3jv5ZdNC9qLixFKSxFKShBLSkx/r15FHhOD\nsXNnqKw0qYpqteltnZeHWFxM7eTJIJNh+cUXVK1ahcWyZegmTEBSqZAnJKCMjEQoKqJ2wgTkFy8i\nlJYi5uQg3riBvnNnUCgQL1ygKjISg5+fqfI1NVh98AHimTPIMjJM+xudOEFKQQFLgC3AxW7dqMjK\nwkGno3VQEE8ePcoeLy/evHyZ6V27Eh8Xx7+WL0d/e9zZYEAeH4/FV1+BRmPyumZkoJ0+ndqpU8HO\nDlliIpb//S9GNzc0ISGmZIrKSuSHD2PxxRcYu3RB0ulQHDhA7eTJGB56CMFoxPDII6Zr9XqsFi6E\nqipqp0/H2LHjHXWwnjULzcyZ5qyqOqzmz8fYsiWKY8fQ/PvfoFBguXAhKJVUrVt3i3psuWgR+p49\n0fv7YzN6NJVbtpjTHhvEaER++DDW06ahf/RRaqdNM2Vfye+tNO7cuZOsrCye3r2bVv/5D+t37OA5\nUSTq0CEyLCwYOXQoLrNmme3zut8NqlP5/2r+tr/lU98BVXHuHJ8dOcKEggIyZTK+PnWKgbNnc+XM\nGTbv34+/pyfubdog2dubhdLg7o7o5AQ6HTULF5odMXUot2xBvHAB3dixpuNdu0y24LBhyOPjMbq4\noO/bF/mRI4hGI8qYGCRJQiwvRzAYMLRrh6FnT5SbN4NOh3zfPgwPPQRWVoiFhabQx5UriAUFyE+d\nonbSJHy//ZbuN24gCQIeNjasLy7mOSBm3ToGd+mCrk8f3pk2ja8PHmTwq69i9eGH6I4fR/PqqyCX\nm5Ii1q5F0GjQ9eyJoVcvDJ06mVT3jz5CfvgwxjZtEAsK0EyejLFjR4TiYsSsLBR79yJLS0M7YgQW\nUVEY3dyo/uQTxOpqpLZtTSExUQSDAculS6GyEu0zz2Bs1+7OwZHJqJ00CYsNG6i+aXcDIEmI2dnI\nT5ygatUqjB06mMJMo0ZBTQ3WM2aYBPemSly3WEDIyzMJ890EVq9HHheHxZYtpqQYd3c08+eb1uT+\nBur8Ij8mJDAlLY3Mm+PjUFKC/7BhbM3NZURZGWq1GrVaTXx8vDl23uU3lvFX0aiFNjc31+xc8rSz\nY2Z1NdsBL4OBZ728WNK8Oa6+vox/771bHCH1UW7ciL57d6SbwftbuOmIqkPv44MsNRXdkCFYrF5N\ntpMTLTp1MiX4P/EEQk0NyvXrTV8aJycke3t03bohP3YMo5MTlmFhpkUISiVCYSGGtm3Rd+mCYepU\nLL/8EkmtpvaJJ2DdOlAqkSwtSb9ZdiaQlJfH+YULcXNxoaVSiczKCqOLCxYbN2KxahXIZKbwUuvW\nGLy8EDQaZGfOmLKzZDKMTk4ooqORnThhShdUKk0zsV6Pxfr1GJ2cMDz8MJbffYfm2WdNCQ3NmqHr\n1euX7CWjEcvly4lLS+MHuZyZKhWp27dTdvYs/g8/zI5Ll8gqKMDHxwd3NzfOnT7Nk99/T5vRo0Gn\nw3LFClN654QJGG/mGdfZqvqAAAS9HuvnnqNy7Vq46SeQ7OzMIaH6HDp0iH49eqDYuxfltm0YnZ3R\nzJ6NwdcX1axZCKWl9/V9io+PZ0BgILK0NNDrTYslvL2JUSh4LCiI999/HzDFa6dMmUJkZGSjXEzQ\nqIUWfnFAZZ05Q2xtLYPUalzbt+er8+cZnpXFjT592LBixa2OkHrIMjLQ3S3uptffIrSGLl1QxMej\nGzMGY8uWIEnIzp1DrKlB27Mnyu+/R1KpECorEaqr0fbujcX27QiFhQj29iYH1JkzGNu0oebtt8HW\nFouwMIzt26Pr2xfljz9yoXNnTiiVZOl0tL1yBWOLFhiNRqa5u7M/NxckiTeKihC0Wq7LZMwuKEAS\nRZOXG9DMm4ehd2+E8nLEggKEoiJkqanIjxxBUqnQ+fsjaLUojh9HGRuLZGtrCqs4Opr2XmrZEqOX\nF4rDhzF4eiIUFiJmZZnMBhsbFD/+iHj1KklOTgzu35/4I0cIMBgQa2pI+fFHgtq3pyAoCDtnZ6Ki\nopj+5pvsXLKEif7+WH70Edjaoh05EqFev4o5ORhHjwZBQPPKK1guXYr1zJlUhYWZhVY8dgxD/WV7\nlZW0OXAA688/x9ipEzVvvHGLii7dvtLnV6gzs8SLF5G99BJLnJyomTSJvo8+ar6mLhegjgULFvDI\nTfu6MdEohbZuNc9LL71ESkoKy5ct4+VnnkHZogXRFRW4ubpS0LkzX0RH0/PECV5MS6O2tJTaVq3M\nm4PVIaanY5g+vcFyBK3WtNXMTQxdumC5ciUYDEh2drhWVCAlJkJ1NcaWLRHy8kyznbMzwo0bKLds\nAYMBQ5cu1Myfj8HPD6v330eqrsby008xurgg5OQg2dkhubhgUKnoFB/PuoULsQkNZc3Zsyx2cmKp\nQkFGfj6DXFx4uEsXukVG8my3bojXrrE2P5/p1tYYPT0Ra2pQffghxnbt0AYGYvTwQMzIQCwspOaz\nz0y5xTdnBqGkBNWcOch//hljy5ZIlpZo//UvBGtrDC1bgkqFUFGBUFmJmJeHcOkS8sOHEa9exdim\nDWWJiQy4eJEllZW0t7XlzYsXeR2wvXqVA+npPNuzJ+U//4zQsiWZeXnYjBqF9okn0E6ahHLbNqiu\nvtmpBlNyys3N3xEENPPnY/nxx1g//7xpex87O8TsbPSPPopQWopixw6Uu3fTsUcPahYvbnANruTg\ncN8zLYDRywvZpUtoBg7EWE9gG6IpTnsf1M+Ayrp8mRXDhiH//nveO3SIDwMC0Dz9NM6enpT5+2MP\naMPDUW7ZgnL7drSTJlH77LMm+6i83LRLhbNzwwVptbckJUgODkhqNbLERNPfc+dAocDQoQOKn39G\nduYMQk0NlJUhOTqasp+uX0ffp4/JGSOToZk3D9Xs2dSEhqLYtw/lnj3I9+xBKCxEM2ECyl27sNy5\nkxMdOhBz7hwzyssZ3bMnVUeP0kySEIqKiDQamXnsGCft7Njfpg1PL1qELCMD2alTyCwsEK9dw+Lb\nb8FoBFtb9N26IUtNNb1AOndGvHgRy88+w9i8uVlgxfJysLen9plnGnTaKL/5BmOrVqbYr1pN3+xs\n/puaSufWrdmXlsZ0KysiTp7kWb2eDK0WSa1moKcn4V9/zaM1NQiFhchyclC98QayCxeguhrFoUNI\nMhlidrZpb62bs7nUrBmG9u0Rz51DfuECsuRkZElJUFqK5eefoxs4kKoVK5DusVG+5OCAeB8zbR3y\nw4eRLC1NYa+/KY3yFwbS0tLYt28fubm5GG7cIPrbb2mTksL2wkLKiouxfu453Nq1Y+/evQwYOhT9\n0KHoe/Qw7e90+jQW4eEmW04mQ5aXh27YsAbLURw6ZFoDW+93X8TsbGSnTmHo1o2So0exzcxELClB\nsW8fYmWladZ0cEA/ZIg5PVJydka5Zw/6rl2RHB0xurtj+cUX1Lz7LsotWzC2aIEyLs40oxmNiFev\nYv/ee1z7/nt6tW+P47Vr/FhWRkBFBQcuX8bC25vuQUHY5OeTL5fzWHEx2nHj0E2ciKFDB+RnzphU\n8upq9AMGmGKbSiXyo0exev99LCIioKICsbAQbVAQ2mnT0A0ZgmVYGPLkZPRdu94Sx1RERqKMjkbz\n8sugUGD09iYhIYGysjKenTmTzNpakm/cYNAjj2DbsycJ8fH0WbSIg/v30/bKFYaGhyNWVqIdOZLa\nV19FatbMtDJoyRKwtUXQ69FOnGjySqtUpj4oKzM51lJSUG7fjuzyZYSqKtOYZWSgiIujbONG7I4f\nR374MPITJ5ClpZlWWGVmmlJI09MxeHsjaDQgSaaXkXj3dHqhqIi8+fOJdHSkrKgI18BA1q9fj2+H\nDohpaWxYvRqfhx9mZ2wsR48e5fLly9y4cYOdO3fSqVMnLOqvWvqTuVfIp1HOtHWevk8++YQAX18C\nunZlV0ICnsCzTk58HB3NnIceumXDaUPPnlTu3InFV1+hDA9HER+PxZo1GHx8oKqq4XxWrfaOWcfY\nqhVWX3+NMSkJxzNnEADNrFlYbNmCUFWF0c3NZNfqdBjd3DDa2aEdNw5ZejqqOXOoffFF9H37ou/f\nH6tVqzB6eJheKMnJKOLiMLZpY1p+t3SpyZ42GEAQfnFICQJJhYWcjYig+SOPQE4Ouv79Ub3+umnX\nC4UCzfz56Pv1QxERgdXixQhVVQjXryOWlCBZWyNptRjatYObISt5YiKGhx+mdsYMZKmp2Iwdi+bl\nl9GNGYPihx9Q7tpFzZtvItTUmLzfgsCUKVPMCfMDHn8cWevWKDZtQvPii3x49SryYcMI8fKietMm\nDM7O1E6ejOXy5ej9/ZEsLU1OvmbNECorTWmUt81s4sWLWPz3v2Bri6FNG8ScHCpiY017QGm1CBUV\nnIuLo2fHjubsMrM6f/UqYl4esjNnsAwLM39OZaXJwWdj88usbmMDtrZI1tbI9+1jbXk5H4wahfzo\nUWouXmRnZCQz1GpOxcWRcOwYM5yd8enbF2xt2bJlC9euXWt0P13aKIUWTA6oGTNmkJWZSSwwyM4O\ndwsL1tjYMHDQoIZvsrCg9oUX0D3+OFYffACCgFBcjO3w4dROnYp2wgTTl6IOnQ4sLBBzc83rUYXM\nTISSEmo++cSU33vunGlmyMszbfNZVga2toiXL4MoUjtvHvJTp9APHoz+kUewWrwYWVIStdOmoVqw\nACQJydnZZNd5elLzxhtYbNlC9sWLnBAEci5fps2gQUhlZRgtLZnm50dMXBw0b44hJYWk8nKuz5uH\n+80FCIiiqd6Abvx4DF26YD11qmmWUipNLyIrK7C3Rzd8OPq+faGqCvnp08hOnzbt3mFri9VHH2G1\neDFGBweqVq5ErKoyrSmu50Cqb9NJlpaIGo3JVr25JlcSRSRHRwAMvr6m2Gx0tGnZZE0NYNJc9D17\n3nyIhCwtzRRqy8lB/8gjaEeORBcQgNX776N66SWqV6wACwskR0f8xo3jzkWJJmQpKVguXUr1Z5/9\n8qEkQU2NWYjr/5XHxyNUV5Op07E+IYGhqalcWLCAwKoqrJYsoXd6Ot29vRFKSvCwtubd9euZO3cu\ny5Yto1mzZr/7lw//DBrd0ryoqCiioqLw8fEhJSWFqJ076VZSQqSNDZF6PWJhIZmZmYSHhzN16tQG\nn2H08DBt9uXiglBcbJrpTpzAdvhwlN99B7W1iLm5yJOSsPjiC6z/9S+Eq1epmTsXzZtvou/SxZTb\nqlRi7NwZ5ZYtphnM1hYBzKuDDD16ILVti27QIOSxsRhdXKj6/HOE8nJUr71G7eTJiLm5WC5bZopr\n/utfCLW1aEeMwN3JiQidjuiba1wdrKx4XhBYm5PDZhsbThYX4y6KPCeTEWlpSdlNYRIzMlC9/jrW\nwcHIDh40pS4qlQjl5SAI1HzyCRX796P917+QnTqF9fTpJueaTkfttGlUhYdTdTN1kaoqZOfOYTtu\nHMqvvzapqampd6yFBUwvu9JSrOfOxejqSkV0NFhbo5o3z/SiAGonTzb1r1xuMk/4ZV8o2dGjqF55\nxTQbDxhA1ddfmxI8HB0Rc3OpnTQJydYW1SuvNFz+bTRo0woCqFRINz3kBl9f9P36YXjoIWSZmVSt\nXYtr//5MnjmTbXo9uefPk3jjBic9PU0hPDs7JGtr4s6cMc+uarWa8vJy3Btwhj0oGl1GVP0sqLVf\nfMGs9u2xfOcdMlUqSrVa7K2sqL65F3FqauodKzPM1NZiExRE1dq1WK5cifzIEbSPP45y717Ey5dN\n6pODA9oRI0ybiN2cPSyXLkUSReRnz3K9shLH7t2xWr4cY4sWGLp0Me0xlZ2NsWVLNP/+N8Z27Uyh\nnkuXkJ09i3bMGJDLTWty1/4/9t4zvKpq6+P9rbV236mEQGgmoZcAoSOEXkQFQcECBwWUIogNFeRY\nKHpEQQUBFWmCoihIB1F6AJUaCKEESAdCSCF911XuhxkiIpZ77/uew3med3wSedw7Zq0xxxxj/MtS\n5HPnxMBIUShbvx6psBD766+jZGaS4PHwntfLGlUlJTqaQqeTUFWlTvPmDNi8me2GwQdVqjDW5WJ1\nZCRPxcbifuEFTMeOYfvkE5SkJAxZRo+OxjdsGEgSlg0bcL/zTqXkK14vpoQETAcOYDp8GC06Gr1a\nNcyHDuGaM0e4ByxejJKTw49RUZzKymKwopDgdHLeauWhe+9lY3Iy6WlpdPjlF2JeeYW85s2FJEuN\nGiLJTCZcc+aA2Yz99dfRq1bFlJBA+ZIlBPbuLUjuFgu+Rx4RZPwKgItl9Wpwu4XaRufOqHFxOF55\nBXQd1wcfcPDw4T+e4JaUENSnDyV/JYjn9eJ88kmMqlWRrl9n38mTpNSqRTufj6ajRjF861ZetVpx\ndunCmxs3Mu2NN0j3esnIyMDpdBIeHk5iYiIjR44k6GZyxv9y/Fc5wd8sj6pcvsyCjz/mUnIyDRIS\nOGY2ExUWRmRkJCtWrPhT3qOcno5epw6S1ytWBrKMfe5c8Hhwv/QSWrt2yDk5SC5X5ZpETkkRSKpO\nnVBOnUKzWJALCjAUBam8HPnSJaTSUvSAANB10adVKFRozZujh4cLVo8k4e/aFT00tNJ6xLBaK3tP\nJSMDw2ajRdu2tImIwJAkIqOiOHn6NPWTk4nfvp2ejRuDYVDg9eLo14+My5cx7dsnprMpKUjFxWg1\na6I1awaGgWXrVqzffoteqxaOCROwfvCBOCwqFPc9kydTtno1avPmWNeuBbcb2zvvoJw5g3vuXDwv\nv0S+AcEAACAASURBVMzpw4cZFRfH9w88QNNx4+gbGsq5jz5i6Jo1PF1URI+ICPampFBFksR10WLB\n9cEH4PNhnzoVVBXvE09g3rULOSMD5+OPI5WX4x0zBtfChQJueBMi7XfACrNZsIt0HcfkyYKQ8UcR\nGCjahNtV5ZISzD/+iP311wlq2xYlMRG9Rg2848fT7tgxhv7wA00ffxw5NZVvHQ6aDh9OrTFjWLZt\nG3d17Ei3bt0YMWIEERERdOvWjeeee+7fmrB/FXdc0t4sKVO/Rg2ejI1lV8XfpZeUYDgcxMfHV15f\nbhfypUvYPvsM05EjOIcPR8rOxjVzJkXnz+MbNgzrN9/g79YNtXlzTD/9RMBDD2HasQPTyZOosbEY\nigKlpdQICsJ84ICARQYFYYSECGWF2rXFRLqC/H5DDkbt1k0oCx46hOP119FatMA1c6aA9uXmYl6z\nBsf06RjBwaht2iCVlQmbTVkGj6dyGJWhqhy7fp2Edu2o6vFQdvw40XfdhdqyJeY9e7B98AFaZCTl\nK1ZQtmsXrk8/FT9TXJxQg+jUCftHHxHcrJlIzCNHwOdDOX8e67ZtlH/+OeVLl+Lv2xfZ48E5cSLm\nH34gt0kTpLw8shcuJMpqZd358/QMCSHaYuGYYRDZuDF18/J4cuhQas6bh+3DDzHFx+N+5RWkkhLs\nU6agJCYiX7qEfOUK/vvvxz9wIFr79r9TZoSKpHU4kHJyfhUrv3EQeL303rpVAGBuF5L0K8DCMJCT\nk4UkzogRBPXpg3njRoygIPT69Sk9eBDPq6+idupUifzSmjbFsmkT6t13o94qNlcRd+qe9o5LWvgV\nBWXUrMmelBT6QCXn0qjQGNq3b99vUFDypUtYly0j4JFHcA4fjpyaiveRRyjdvRvPG2+gdewITife\n8eMpX7UKc3w8ypkz+IYNwzN5MtalS7G9+y7S9euCQxoaKoYaeXlipeB2o4eHC27r5cu/qiUqCpKu\nV/6zv2tX7G+9hR4ainfiRJS8PLEiat8e27JlUF6O1rgxclERabpOwuXLpNvtGHZ75c54dFAQ6DpK\nejqxISEsLSnhsatXsfz4o9BUqlj7WLZuFRW3TRvKP/sMLSYGy7ZtaN27U3TmDL5+/bB8+y32GTMI\n6tgR59ChqO3aoZvNyHl5+AcNwvPSS5StXo13xAh61qrF58eO0SYkhF/eeINxOTl8d/kyAOlFRaAo\n5Pbty9FLlzgUF4fWoAGm48dxTJmCcvYs1jVrsL/3Hu4xY0SyqepvhdxuCam4WABcqlf/LYnfasU1\ndy5SaSn21167rUYWpaWgadj/9S8Ce/fG+eKLSNeu4R09mpL4eFzvv49y+jTuKVN+w6m9EaZDh5CK\nisTe+r8s7rg9bVRUFI0aNSIkJIRL169zr9lMiN8PYWH0yc1Fb96cWk89RWxsLKElJVi++w77u+9i\n+fJL9PBwvMOHC4uPw4cFUyci4nffYYSE4H/gAcybN2OOjxdav48+iqTrwt5jxw6M8HB8ycnIUVFI\nXi+S243k9aI2b44RGYn/huuariN5veBwgMuFY+ZMtAYN0OvUQatfH+sXXyBlZIirnsMhjJIdDoyw\nMKrm5DDE4SC0uBjJ7aZno0ai54yI4NHMTJTISGK8XuKuXcNWXo5esf/0TJ4MZrOonMuWCVXI5s3R\nWrcW0rBbtmDZtAnf00+jdeiAeds2sNnwDR2KfPWqqJBHjiBfuwayjB4RgVGnDvvOnKGmpjHYMEi1\n2zlitdLXaiWoXj12WSz0TUoipUsXcoqLadmpE0F166JkZqJcvIjaqRPehx7ClJiI+dgx5OvXUZKT\nxVCoWrVfxe5uCsv69RjVqgGgdu3624dkMhHvdFL/yBFMR4+idu+OnJqKefNmbAsWYP/gA+G/1KoV\n7unT8T7zDGrXruKabTJhmz9f3D6GDPnd8zdv34553z52qSobMzKoXr8++/fv59ChQ4RaLITY7axc\nvZqysjLS0tL+tnP8/2T81+xpb4Uvblq9mga6zsbMTNKvXKF1cDDd8vLYPXYs9dPS6OX34+/dG/ek\nSaK/vLFz1TSh6ldhBnXbkCSM8HDKX38dy86dOCdMwDNhAt5hw3A+9xxKRgaO69fRg4PRGjZEKiwU\nvWSLFvjuu+/Xz6noaXG5xJU4MhLvs8+inDmD9csvkVNSUK5fxz1sGNb168UUWtOQk5KQcnNBUVgc\nGMhT1arx4dGjpFatSquwMEKjoyk4e5Z7fT4uyjKJisJDISHcVa0a9hkzcM2ejWXbNvQKUIllzRo8\nL7+M2qMH7n/9C9OBA9gqZF2MqlVFT379Or6hQ/G8/DJyfr5Q5Fi4EMeZMxh2OxOsVrzDh1P2j3/Q\n0W5HjY+nZmIi8sqVzHa7kcrKGLZ0Ke5Jk4QW8oED+Hv3pnzRokr4qH/IEJxjx4obSnGxIOB//DHy\nlStC9bJZM3HANG4sKu3167d1HQCQdB3vkCE43nwTy/r16HXq4O/aFe8TT6C2b499+nRxc7hlsms6\neBDlzBnKP/74d5+pJCVhWbkS1/vvkzBhAk9FR7Pmxq3t9GnOfPQRDZs2ZfO2bUyaNq3SOf7/9rR/\nEDfDF7MOHeKr9u2xv/MOg4ODKYyNJez0aRZ//z3Tn34a/5NPUnpzot4U8qVLgtXzFwJhUkUFd0+Z\nglRQgGXzZiEtGhuLWVVRSktRUlORSkpEz2UyiRXSjb0jiKQtK8Px3nuVCYsso8XEYPvnP5GvX0er\nV0847QUGYjRogJKUBIaB5PNxLDCQXWYzo91uBnbsSPnJk4Tm5qJFRqLHxHD83DlSatdmdNWqrMvI\nYExWFkZQEM6JEylbtAjr2rWocXHow4djmzMH46uvcE+ejNq1K1rNmgSMHAlWK57nn8e8fTv2adNw\nLVqEFhMDfj9yejoYhqD3lZVh/fJLLBs3osbF0T0uDi0uDi01FbVlS+xvvIGUn0/AuHFo0dH4Ro7E\n37cvRtWqv/4+nE7KFy0ipGHDysm2Z+ZMKCtDOXtWHGarVonD7MIFKC1F7ddPGHUHBiKnp2M6cADz\nwYPcc+oUWkwMntGjMf/wA1psLJ7XXqvsj2/nNCAVFGBduBD3tGni9nPz3+XkYHvnHTyvvIJRuzb5\nAQEoZ8+SERLCXYGBvP3xx7zSti17z52jV0gInVu0YNcuMVG5k/a0d1TS3syfLUlNZd6RIzym69Qr\nLuaz0lLG2e2kRETw2V130b1GDSL/gPh8A972l+H3Y5jNKKdPo/bogb9TJxzjxmHZvl1MiUNDxQ7U\n78d06hS63S4AFjd/r9uNffZstMaNKxMWTcO6YAGmlBQ8Tz+NeccOTMePA6A2bIjp55+FLExMDK2L\nimjn8SBdu0bdOnVY4XIxBjCys5lstfKaYXA0OxujcWNSc3LQ6tUTV/KiIgKfeIKyBQuwbt2Kz26n\nbO1aLOvW4Rw7FrVDB+SsLDyvvorWpIno1/1+/D174hw0SGhmBQXhfewx1B49fr266jpycjLmgwfF\nKuj0adHbX7kCdrtgJdWsKXruM2cw/fSTEHnv0kUcHvXqQWAgerVqYkL98cdiDRYcjNa+PVr79vgA\nCgsJePhh5NJSTLt3Y/3sM6Ty8kpcsK9/f/xz51YqaPqGDcM5bpxIun/+U9yUbiUN6Dq2Dz7Af//9\n6E2a/PZZu1zYp0/H98gjlUIF3fv35/PZs2k1cybxBw4wukkT1iclYVitJFy5wqmkpDvSOf6OGkTd\nPDkOqlKFvlWrsgvQatQgTdNA04gKDWXEiBFs2rTpDz/nD4Xcbg2vV2B2ExMFoCI7G6NWrcodp1FQ\nACYTatOmgqUSFIR5714ckyYJRJTLheONN9Br18Y7YULlFNj+1luYjh7F178/3lGjBDVOloWF5oED\nYnKsaUiFhagdOqCFhyMXF2PcBGfc7ffzWIsWrDGZ6KNprNi2jQ75+cgpKZhOnBDJExZGwNixUFCA\ndfFiLMuX4+/Rg7LlyzHdIDjk5mLY7XjHj0dt3BhrBZdXSU9HjYn5bcKC6HGbNsU7ZgyHu3XD37Gj\nQDdZreJ2ABi1aiEXFKAkJKDGxuJ++WXQdexvv41z1CjRZ2ua6PtlGef48QKtdOMrsrKwfvWVEAk4\nfx4cDjwTJ1L+8ce4p09Hi47G+u23eB55BNvs2Zi3b0cuLKS8YjdtmzNHIM1CQ38DsDBv3oxUXi52\n1jeHrmOfMwe9USP8gwZV/us0n4/6fj+DWrYETWOn1UqPJk0Y1bo1etWqJKam/r9yjv93xR1VaeEm\n/uz58/x85gz3RUZiNG4MJ0+CxULvwMDfC4ndEnJaGr4KNYo/C8nnE7jW69fRIyOxrF2LYbdjrgAh\nGJmZmLOywO1Ga9kSvU4dlJQU1Hr1cI4cKVQu+vTBO3aseKGLi7FPm4ZesyZ6RMSv5smahnL5Mqgq\n/gceQDl1Cr1qVZT8fFLT0jjucpFhGNQ5fx69dm00mw21alWO7ttHj7ZtiT96lOhq1RgUHo5RpQpl\nkyZh/+c/hRHY6dOYf/oJPTgY+3vvYVm9GuXKFfSICLS2bbEuWYL97beFp27durhffBHl8mVMSUmY\nd+/GlJSEa/ZsNv30E4WFhXTv2pUtCxeSefw4MVYrIUOGcPDkSWo8+SQet5u86Gh6RURQX1Ux/fQT\n9vffx7JlC+Xz5+MbORI5LQ3TwYNIRUWYfv4Z38CB4md45hmMOnXE37ndaI0bo9epg9q+Pa7ly3/z\nXPyDB4NhcGb9ejra7aIPXb1aDAIbNMC8davQ6OrWDVOFwJucmYn1668p//DD3w+8vvhC6DtXVGgA\nDIMRgwfj3LkT77lzdBs4EAYNgvx8vJLE8lde+T8Drr8TN5BQAJGRkSguF47du5GOHeNdsxnDYqG3\n30/HPxsIGAZKSsrfq7SqinLhAlrz5shXrojJboWaAtWrI9etCxcuIPl8mA4fxtO+vZBbrVoVtXVr\n5NxcTDt3YnO78Q4ahH3JErEr7dMHxyuvoHbogOnHH5FzcsRKJyhIUOxSUsBsRm3ThgbHj7PG6UQ2\nDIyrV3lPUdCDg+keFYUpOhrl5Enqh4SI/rvCgd68axflX31FwIgReJ57Dr1ZMyzffIPaqBHmEyfw\nd+mC6733sGzbhjktDS0yUlTGzEzMP/2EpGlQUICSmwvnzxPUsSMd+vTBUBROLVrEkHbtKKlShaB6\n9Vi6fj1v9+iBt2VLcmrWxNetG0eBGq+8AqWlWJctwzZ3LkH33INWvz7+Pn1Q4+IwAgPRmjTBdOAA\nkseDde1atEaNcE+ZgnrffShHj2L79NM/fk6SRJvBg/ED/orBn5SbK+YBgYFYV6zAvGULmM1YVq3C\n/P33eIcP/61YO2Datw/znj0C03wDV+1yIZWWgsWC2ratOIhvMMFu4mPfiQkLd9DKZ9OmTSxevJjG\njRsTHx/PkjlzaJGRwbKCAlaVl5NTUsIeTeOra9e4EhBA7B/0GFJuLuadO/E9/vhffqfts88wwsNR\n+/RBTk1FOX8eU0ICyDJybi5GtWpIZWXoERHoEREoWVmC/L51K1q3brjnzMH3yCOYDh7E+eabaNHR\neJ95Rkx169dHun4dR4XTnJyXhxEUJAD7JpNIHFUVw6Dr10GWWaqqxEZHs7NKFTZevUpYv36EOJ0s\nT0+nbUkJRpUqKJmZSC4XemwsvkcfxTF1Kt6KQ8y8b18lydu6ciVSWRnuyZPxzpiBd+xYjNBQzDt2\nCNL+nDl4R43CsFoxnTxJ2LFjvJ+ZybCuXakeGsqP+/fTMyiIZdnZFJWXE9ygAfXy8vjw6FEeGzdO\n0NSsVrSOHfGOG4d84QKmo0eR8vKwfvcdcm4uUlERaqdOuKdOrRzomU+eFEZhqakCvtipk2Bi/Z2o\nEANQ4+LwDRsmZg/Xr4vD98bzO3YMKTsbVBUpPx/7hx/ifustwan2eoUAoKpWOk5IbjfmPXt+XeHd\nIfFnK587pqe9MTmOjIwk1O9nYZMmRO3YwaPp6Yxu2JBeVitDDIOnoqPp9Sf7sr/dzwK43WKg4XAI\nxFBKiqiCFfpBnqwsgY6SZfxDhlD25ZeCOXLlinCz03WU5GRMFy9SPm8eerNmBA4ahPWzz5BTUrB+\n8QV6RARqbKwAsoeHC5qgoiBfuYLaogVShUoGus5aRUGPiCDp5EnGZ2WxZ9UqTmgaO6tUQWvWDCU9\nXQh1Z2Rge/dd9Jo1cS1YgH3aNORr1wSIPiMDPTRUkN8dDmyrVmHas0c4+j38MKWbN2OEhBAwaBD2\nN9/E9MsveAcM4Me772acorDu7Fl8gwdzISqK9MBAokJDGdW1K5u3bWNvTg6junevRKJJ2dlY1qzB\n8eqrmM6dQ2/UCNOlS2g1amCEhOCZMAEjNBTH7NmCJRUeDh6PULBUFJTUVKyrVmFdsADl5MnfgSj+\nzEvHqFKF8sWLkYuKMCUnU7Z1qwCJDBsGsozliy8IHDIEQ9cx//CDsO7MyBB0vapVK8EcWvPmmE6f\n/k3P/Xe+/z8Zd4zu8alTp/jss88oLS1FvXqVHfv3Uz0tjXq6zjaTiR5OJ6GFhXztdHJvRARqXNxt\nP0/78UdCKxgef/X9ynvvkdipE9VCQpCLiynbvh3VMLB6vei1auFPTcUVEYE9Px/3a69RPHkyuXXq\nENizJ5YdO/AvXIi6ezfarFnorVqxz2bDo2lEHDuGcu4ceVYr2Q0bElah5VR+/TrWa9dEz2Uy4U9P\nx+N0YqpThz1XrmANDKSTLLOtpITOoaEstVp5MC6Owv37af3SS5SmpeG4eBFsNqTCQi6lpnI6PJzo\nI0cwHzlCVtu2+AICsAUHg6ZRVF5OcqdO1Dp2DPOmTSReuUJacTF3aRpKVhauixfxFxYijR7Nxbg4\nNhcW8sC5c9TYvZudUVHUbNYM4667SDhxgo5t2pB56hRHjh9noM1GxIIFaJ98Ql5xMfaBA/FMncru\nmBgud+pE1MGDyFevcsnh4MigQVR/7TX8nTujrlpFcUgIIdu2IV+9ilfTOP3AA1S96y4smzZR/tFH\n5CYkEBIejlGtGtu2b7+97nHFn38+epS6GzZAWJiAt/p8ZKoqtfr1w7JrF2dbtSKtTRtqKAqmkydx\nLVmCd/NmAnNyoKyMw6dPk1Zezqlt2/i5vJyLV66wbNkyfty8mZyMDHYfOMCXX35Ju3btCA4O5o03\n3sBisfyf7vGNiI+Pp1WrVmzYsIHo4GDaJyezecECxrjdTGncmHezs5FVlcnVq/NOVBRl33zzG+7n\njbBPn46/Vy/ULl3+/Av9fkLq16f4l18wnTiBlJWF7eOPBRZW1wUntEIbSk5Px9+vH0adOnheeAH5\nwgWcEyaI1U95Of5+/fAOH45cUIBz9Gih0j9smDjpZRlJUYQms8uFVqcORkAAyvnzaE2agN+PcukS\nSwsL2Wky8Urr1hRlZJAQEEBku3b0e+stPnn5Zab+/DPuKVOwLF+O6eJFDIsFyTDQg4PR69XDO3Qo\ntqVLcb35JvY5c9Dq1sWUkCAAJAsWoCQlYZ8zBzk3F9+AAXheeAEjIgLlyBHh1et04pkyBa1+feyT\nJ2PZsAHfyJF4nn4a+4wZyNeuoSQno1evju/hh8UeuFmz3w19AExbtuB8/nkMux29SRNcM2eiN22K\nZflypNJSfAMGEHTPPeD1osXEILnd4prcrJmQSj1+XFyd774bf1ycUBa5zbO2ffABlmXLKFu7Fscr\nrwhvoieeENPlsjK848djOJ1ibVSxipMzMoRsz5kzYp0ly2RmZKC2a8fR5s1pWbs25bt2EWI2k1qj\nBnHPPAOyTGJiIvPmzftT5/j/yfivYflUYo5DQ9lZvTrd+/ZF7dkTyssFSbt2baS8PMHPPHnytp8h\np6aKXeZfhJycLF58rxc9PFwYSzdujFRSgj8uTrw0zZr9qm5hsQg5FsPAXNFLud56i7Lvv0fy+Qh8\n4AHsL7+MXqMGnilTMCUn4x84EP+DDwoB9aIiYe7cvTumM2dQO3USfZ9hgMfDGEURE+iMDC42a0Zk\nTAz3vvkmGWVlHJUkzo0YgW3JErRmzX4lmXu9SMXFlH3+Of5hw/CMGYPjtddwv/wySm4u/oceQk5L\nI3DAAGyffor3H//A9e67yLm52ObORT57Vih+rFmDb+BAHM8+Kw69AQPE1HfxYoLbtEG+eBEtOhrP\nxIl4x47FO3Gi0Bu+TcICyPn5aC1aiNWZx4Nz9GhsH36Ir39/zAcPgs2GPy5O+CCNGEH5F1+gxcRg\n+uknbB9/jFRQgL99ewxFwbp6NQFDh2KbMwfl0KFK7q7p4EGU06eF57CiUL5sGdbVq7E/9xxKcrJI\n2PBwMb2/IUGjKOj16gnM9WuvUf7117hmz6ZOp04s372be86coen773Nq927qWiyUnjjBglmzKq1C\nWt0kS/SfjDsmaYuKiti3bx8gJsfXZZmTFS5r9fPzQdfZZTJRVVVJtVgEQOHWKCkRzJnb4I1vDeXk\nSQyHQ/Q5NhtycjJ6zZqCqqfrYBhkq6qAQzZtKqqA1yuqTl4enmefxXT8OEbFCkFr3Bi5tBTJ70e6\ndk3gau12rF9/jeell1ArgPO2zz8HVcX96qvg8SDl5Ajklq7zcFgYCdev00vXibTbmfPVV0iSxOef\nf85uux0jMFDoWgUFCUmXigjq1w+uX0ePicH72GPY583DO3Aglq+/FgOXsjLw+fA/+CD+AQMoX7IE\ntUcP7LNmYX/zTSGqJsuoMTFYNmwgYNQo5IICDr36Kv6OHVHS01FSU0XV+hsE9Rt8Y7VnTzHsqlUL\n+dw5AkaORI2JwfrVV+JwvOcerEuWoBw5gm/oUFwff0zJ/v14J0xAMgxc69ejHD+OVquWmFSvWiUS\nePp0bDNn4n7+eYyqVYXMTpUqeJ54AsuWLfjbtROicH/hOoAkYdSqxY6GDRkdHc3qZs3w9+tHqs2G\nYbXiKylhxKOPVr6Xd0rcMUl78yBq5aefMjowkL5WK2qPHnyn6yBJnLx+ndFhYcQfPIjpl19+N7hQ\nUlJElf0TcS8AfD5M586JNYyqCoJA1aqYTpwQyosHDqDddRc1Dh0SMLrnn0c5fhzH5MkYISG4Z87E\n368fpu3bcU6ciF6rFq45c8TKo3dvAu67D9OBA8jp6ajNm+MdMwa5vBzDbEZt2BDDaiVg7FjkoiLh\nVBAcDCYTscHB9KxThxNeLxt++YWeHg/7v/6a5OeeY/+SJXgffhitaVNRwWQZPSgIJAn5yhUCe/eG\n0lK0rl2RvF4cM2bg699fqGmsWIF87RoBjz5aiSDSIyJQW7XCtH8/gQ89hG3+fLQWLSjZv5/iX37B\niIig8Tff4Bs9Gt+gQULe5ZNPxA3nBqvpD0LOyBBEAK8X/+DBuF96Cbm4GH+/fpjj47F89RVKVhZa\nbCzly5Zh+/RTzBs3iv/YakXt1AnP5Mn88q9/Ufb112idOomB07FjlYMlSdNwzJwpYI+7dqEkJGBd\nv57y5cuxrluHed26v/3u6ZGR7EtOpke3bvjvuw89LEyYrrVowb4zZ+jRoweZmZmcOHGCzMzMv/25\n/1txx+xpb4YwZp04wcqsLPpmZ3M0LY2eFfvS66Wl6A0akH75Mtx1F8q5cwJDWxF/d3KsJCcLmJ0s\no0dGYp8xA98DD2CbPx/3K6/gePddcWWWJErffx9D17Fs34771VfxjRoFkoQpKQklPR3PgAH4xo7F\nVOEar9etK3rNqlUxnTyJ7/77kbKykPPyBL5XktBatwZNQ7p8GamkBMXrxVAUom02pvp8vFpUxKP5\n+Sxet457mjen5kMP0TwyEt/YschXrmDZsIHSb78l4MknQdPQFQUlJ4eAYcPQmjfH88ILAhF15Yq4\n5n7xBWVLlhAwYgRBbdsK1k316qhdu/LzuHGkSxJt8/MxbdzIrvh46vTuTaJhkFGrFm3mzaOe18uJ\nsDCGlJWR8P337DxyhInvv89dt9tjejwCrNK6tbi1AFrHjrhmzcI+YwbeYcMw79mDeccOKClBv+su\nypcswTl6tBjO9e9f+VFxcXEYIHrVRx8Fnw/r/PlYtm3DCAxEvnwZvN5K9z9/ly7iqrxwIc6JEwVV\n8iYE1B9Ft759CWjZEndZGVpsLK+vXo1X03iwwrrkRvy7+tm/ijum0t4MYawbFMRT0dGsv3KFDF3n\n+PXrJNjt9PF6WaKqtIqNFYibW0by8o1K+xehJCaK5NZ1ITVaYQ5NhZsehgGKIvo2nw/Hm28Kdkqb\nNsL6Yu5cLN99J4ZSFZXLsnkz0qVLmOLj0Ro0oLRC3d+8ZQtBPXsKMEXr1siXLqE2aYJy7hx6rVro\nNWoILLHHw97sbEbXq8dak4kiRSG0WjUCunZFHTRIgAhWrxZT1yefxLpzJ64FCzBMJlHFVVX83B4P\ncno67golCdvy5ShJSQQ+8ghq585i0Ob1UrZsGZ4XX2T9hQu0vPtudgYG8mnLlozo35/7li/n0QsX\nGF29Ol2eeoqjkZGMKypiZ0gIISYTn0RE0HTuXKyLF/8qSn7jGWRlCQE6p1PwkCtCr1cP17x5mJKS\nBC5cljH/8AOOZ57BsFop/+wzbB9+iHn79j98bnJODuYjRyhbtIjyRYso++or1Pbtxe1BllHS07G9\n9x7OiRNRY2Kw/+tff7viqi1aCLsQEIOrWxL2Too7Jmnh10FU13vvZdnFi/T0+xnVqBH4/Wg1a5Ku\nqkSHhjKwQwek4mLMP/zwm/2akpb215W2vFyYF9tsYLeL4U7r1lg3bhTMnHXrUKOjkUpLSatWDce0\naXiefx7fgAGYDhzA8eKL4HJRPn8+/iFDMP3yC5ZPPxWAjocfRmvQAP+DD6JcvChe3tBQgZOVZZTk\nZCS/Hzk/H8nrFX2poqC1by+SqbCQvcnJ9KhTh6keDxsKC1mXl0dmZiaJW7dyecMG3LNmCSnU48ex\nvfuu0FkOCxMKjJKEkpyMZelSgps3F/2y2y3kU0eNQo+MpOSXX9DDwgjq2RMpO5tp06b9Ch3N/vra\nVQAAIABJREFUzmZ5ejoprVsTbbdz/PvvaXD8OPkREWgxMaSazRS7XHxw+TLpubnIqak4x40Th2fF\nc5Ar3NwNu13swW8Ko0oVISdT0RerbduixcYS8MgjmH75hfJPPsE2ezamnTuBW/akfj+2d97BN3Ag\nVKDS9AYNRF9auzbFiYm45szBf889wt5kzx4MScL57LM4H3kE065dgjj/B6HFxIhp8k1xp+5p75ik\n7datGw888ACRkZF0efJJ/vH++zTt3h2cTtZoGq3CwxljMjG4uBg5JwfvqFHCbvLiRfEBFUyZv3IS\nV06fRm/QQFRXmw3z/v14Bw5EuXABQ9fB4xF809xcQtLScM2cKVQvFAXr4sX4e/USLBOHQ+CW8/Kw\nrl6N9/HH8XfrJjim/ftj3rwZ+exZ/N26YQQF4e/bVzgW+HxC8RCEIVVpKeg6es2a9LLbGS1JRFss\nLOjaleljx/L4q69S/+xZvomIoPqcOZj27sU5bpxQhPD7cb/wglCJ9PlE1dM0lOxsfA88gBESgmvW\nLDFpttmQSkqwrlhB2bZt6JGRQhgtIaHSKS4qKoonRo1i3eXLqG3bklS9Onp4OP1OnWLZuXO0vO8+\nAtq3Z1Tnzuy9dg3zDz+gtm2L5YsvBG0vOxslKws9KgrDZvtNpa0Mq1VoIwcHY926Fa1uXcq//BLz\nrl3YZ8zAPXky9rffFoCQG+HzYV20CCMgAN+QIYJ2aTIJIkF2thCOq2AHeZ9/nrKNGyndtQvP1Kn4\n+vbFHB+P85lnCOreHceYMZi2bRNUwJvihkv8f0PcMUmbkZHBypUriY+PB0lixa5dmICT58+zzucj\no6CA41YrG8+fJysxEd+AAeD1Yqlg+8hpaYKJ8xcTQ1NiImrdusguF1JhIXp4uLgS6zry9evoERHY\nli7FsNmE01zDhli+/BLz9u0Y1arhv/9+4f6+bh3OF1/E37cvUlkZviFDsOzcKfx0XC6sy5bhGzoU\nJAm9enXRq1ksQs8oO1usdyoI4PLVq+gREazzelmmqlxs0YIEl4uT335Lbs+eHJwxgzleL+qLL6Kc\nPo2/Vy9RsYuKcE6fjtauHVqtWqLqRkaiVauGdc0a/J07Y/vkE9Tu3YUFZmSkAN9v2EDZ2rWoMTG8\n078/8WvWsGHDBkFD++EHuo4Zg9qxI45WrfA++yzn772XemYzj+3di5yXxw/dunH33Llod92Fbf58\ncVto0gRnBWdXr1lTuMHfUmlvhJKSgh4djffxx3G8/DJyTg7ln3+Ob/Bg7LNm4e/cGfu0aXT3epGu\nX0c5dAjTgQOCS1uh8XSDzO4ZP14cfLeEUa0a/gcfxLViBSW7dqFXuAPKGRk4n3+e4I4dCRgyBPNX\nX3Hqp5/YePo0GXl5xG/ZwvyPPiLz3DlUv5/58+dTUpHgK1eu/P/xhv/PxR2TtCtXrmTEiBF069aN\nU1u2cGDlSuTsbNaEhdEqKIjdhYWsAVrb7exNSUF2ufA9+iiWtWuBiqvxX3BopcJCYadhMqGHhCBf\nvSpoYCtWoFerhnztGlqtWkL14N13haj3G2+gJCbi+uQTAXnbvx/H5MmYf/6Z8nnzhEudx4MRGopl\n2zb8XbsSMHQoWtOmeMePF6B2WUaNjRVEBJNJWG+EhWFZv15AGfPzMcLDaW0y0a1VK04lJbEuNZXY\n6tXZLcskpqczPjGR7zIysGzfjnnPHrQmTSjbtg3v6NFojRvjGz4cQkKQVBW9dWvU6Ggc77yD7+67\nkc+fR4uOxrJhA/4OHTBv3Ypp/37KV65kQc+eLElIYHR4eKUKYUzfvqjdu/PmokVgt/PECy8woEsX\nvKNG0cvvZ+iGDdSVZcrXrcP1zjuYd+3CNns27rFjBdvm00+RLl+u1D6+NeT0dLHPfvlltOhobLNm\nYVm3Dv/gwZR99x2yywWGgePll1EOHsS2bBneF1+sNKO+mcyuN2qEVMH0+aPQmzfHtWIFptOn8bz+\nOiWHD+OaORPDZsMxYwbfDxlCpw8+YJfHQ9L33zM6JISDs2Zx5ptvGDlkCBs2bODUqVN3zOrnjkna\nG5U28+JF2l26RJuwMLz5+byXk8POsDB6NmvGrMBAdlXwS5V9+/A895zgZB46JEAVfwD7uhFKYiJa\n06bCUiI9HcNiEewetxt/+/ZILpfQQ46IwKhXD89jj6FHRuJ+913h2WMY2KdNw9+5M645czBq1cKy\ndy/+u+8WiR8UJIymqlXDO3Ei5p07xbCpSROUimu8brcj+Xy4pk9HUlUhuerzgWEQbbGwNCeH3qWl\nvFdaSvz339O7tJT82rUJaN+etOJi1EaN8D72GN5nn0WvUwfPxImYTp4Ug7LIyMqe3fvSS/g7dsT5\nr39hWK3oTZpghIRgW7IEf58+WJcuFYfTokXC7W/qVMGDvWlGcHNPd8PDSG/UCPfUqZji43GOG4dR\nrRrFCQmorVoR+PjjUF6OZ/RoLJs2YUpIQCoo+N1zkC9dEtXYYsE3dixaVBSmvXuxzZ2LYTbjfvVV\nPFOmUK7rOCdMwAgM/FXH+RYy+9814tKaNcO1cKE4hJOT8Q8ZQvmqVRSfO8drW7awMziY3m43Jb/8\ngmPGDDKTksg6fZrQy5fJyMigRYsW/weuuDWioqIEuX3z5krbC81iocjjoYrNRmDLlhS73VQxmQiq\nVw/r6tUQEIC/Uydsc+eKK9efVVrDEFPj6tUFvW3HDgGEcLshMBDLzp1CktNqRatfH8cbb5Devz/e\nsWORcnOxT56MXFCA1rw5/oceAlkW3rCnTgll/fXrUc6dEyqNuo4/Lg7Ld98JVkrLllgrrtySz4cR\nHIzp7Fn0OnUE79fpxLx3L7s9HkZXr86GY8coNJsJsVgI6tGDgOHDubpwIbVeeAG9WTPsH34oiPgX\nL4LDgXvqVGxLl+J9+mn0mjVFtVu8GNfixfjuuw/bihWYdu2qBPDbPvgAf//+2CuA/K6FC9FatMCy\nbBm2t9++rWypERxcicLSmzbF/e67eJ57DsvGjQJCOG4crrffRi4sFG1Dt24YFQR488aNv9mpy1ev\nVqo0+vv0QS4pwfvYY0g5OTjefBPDYsE/YABnR47ECAvDsm4d1goL0lvJ7EZwsACP/JlGckVozZvj\nmj8f+9SpAl0FoChcb9AA55gxWBcsoEfjxixWFNpfu0aIxUJxUdEd5S4Ad1DSdu/eXZDb+/YlpW5d\njl+7xrWgIKZUr87u1FS+83qZWlbGTr+ftR4PypUrKIcP450wQSgLpqT8qZCblJ2NpKoiUQsKkDMz\nReLl54tppqrirZgGo6qUf/ghTZ5+GvPmzTiffx717rsp//RToWBYce0z79iBv0JFUL58GX+vXuj1\n64vVTn4+cmammBJXq4YpIQE9OFjAJkNDMR84gNqxI6azZ1GbNatM6H3HjhE3YgT/9HrZVbMm61JS\naBkZyYolSxjcqhWeiRMp3bYNNTYW55gx2KdMAYsF7yOPYNm4Ef/gweKKn5WFddEiXJ99hu+BBzCd\nOIHj1VdxTZuG1rAh9rfewte7N/bp08HlwjVvHnq9eph++QXHc89BeflvvXyCg4XszE1XXq1VK1zz\n5uEdORLLypVYvv8eX4WUjW3pUuSrV/GMGIHp559xPPcccnIylJaKG80Nv1pdx9e/P9ZvvhGqFbGx\nOF96CfnUKVofPkzZ6tW4Zs/GPns2gd26IeXk4Jk48Vcyu6IIDvTf9KrVYmNxzZ2LY/JkoQcNzJgx\ng3379rE+M5OM/HzqWiwMat2abu3bs/z4cR588EEyMjLuGHDFHUMYuDWk3FxMW7ZgnzMHSVUp3bOH\nwM6d8d9zD8qZM4JiFRZG+apVBLVpg2G1UlrxEG4X5u3bMXw+JEXB9s47GJKEXFKCXFCAXrWq0A+u\nXRu5sJCSo0eRSkuxzZ2LVDFNvmGK7Jg0Ce/w4eLlGjUKz9NP43z6aYyqVfENGYKcloa/wpUNTRMD\noJo1MR0+LK6Kfj9a27YoZ8/injAB+8KFQk8ZkPLy0Fq3RsrPR69fH9dbb2E6eRLrl1/iHTUKrXXr\nSsMrAMrKsH79NZYvvxTq/aWlAsN76BCmQ4cwHA5cH3+M1rQpjhdfFK72165R/tFHojfeuhXP2LFs\niY8nZ9Agurdty/fPPkuqLNM6NJR/vPUWy0+eZOSoUVz58EP2nT9PgzNnaH+7VYiuY58ypdJKUyov\nx7JxI1pUlBAEb99e/LluXcy7d+N+/33h0Of3YzgcOF98Ec/48Wht2mD68UccU6bgGzwYzxtvAGCd\nPx/7rFloERF4J08WYIsK5FvAwIG43n9frID+ZihHjuB4+WVcc+dWakYBBLZpgxERQfnChQK7XKFR\n9e+O/wrCwM3T48TERDbt2cOR7GzWe70sKS8nvbiYBEliQ24u6ZIkNJaKiio1l+Rr127bPwGC95qY\nCAEBWL75Rigj1qyJnJuLHhYmbBINA8nrxTtyJOZ9+3A++yxnAwJwffjhry7m/LqEV06eBEXBPm0a\n2O2Uz56Nae9elArlQvPmzWgxMRiBgSgpKfjj4kSFCQpCunYNvF6+WL1aaDWPG8fS0lIkYI5hMF6S\nWJaRgfbGG3x+/Dj+Xr1YMHUqk159lZUrVzJ//nwmTZrEynXr8I4dS+m2bcKx7vBhbIsX4+/WDb1W\nLeTcXOxvvw0mE+533kGPjsbftSvOCRPQatXCO2oUts8+o2VEBPccOcLJzEzue+cdxlos9C0qwvzY\nY2xZsQKA5QkJPBkTQ8+goNtfRWVZ2HrMmIHaq5cYrlks4PeLA3D+fHEDycsTM4WjRzFMJgF3DAzE\nO3y48BWueA5as2aU7N+PeetW5AsXMB88SPn8+UgWC5bVq3E+8UTlus8ICfmdKuNfhda+Pe733hOH\n2Q3yiaYh5+eLghAdzcE/IKX8p+OOSdqbp8ebPv+cdsnJHN+8mdjoaHpGRJB44QJrDINWssxutxvD\n4cDfrx+2+fMxKsSwLV9+edvPltPTxQpn6VKkwkL8XbpgTkgQKCiPB8rKKvG8SkoK5h9+wPX++1y5\nVfQM0Fq2xJSYiOW77wRTqFYtvCNGoFe8kFqDBkKzqX59pCtXhMVlSIjQOJZlpNJS5MuXORYWxk6n\nE6NGDRLKy9ldVAS6zsAOHRgdEUHP0FCO5eURv3Yt8pkzDJgwgaezs+lRty4DBw5k5MiRv3oZBQXh\nffZZSrdvF0n5+usYISFC0+rsWSwrV2KEh+N+6y2k8nLczz2HbelSlORkPGPG0PDAAZYdO0a/w4eJ\nqlaNY0FBROs6W6pUoU9xMXJCAhlFRXx+4ADpuv470ETl7zkrC71uXfz9+lH+6aeC+F+jBqYjR9Ca\nNEHOzsZ08KA4yE6dwj5zpmhTqBAr9/kwb96MddUqXO+9x6mJE7F8+6240UyciP/hh3HNno1UXIza\nqhXOJ5/EunChsGv5iwny7UK9+27cs2bheO45lKQkzOvXCznZvyui8B+KOyZpK6fHmZm81aYNe8+f\nZ1BYGPVOnmSxLNO9Y0dm1ajB3uxsepvNoKoYVati2O3IFy5ghIRg/eYbsVa5JZRjx1B++knwWNPS\nkAoLK1kycmmpYAUVFSEXFKB27y76u8jI22oEaU2aoJw5g2X1anyDB4sd7cCBApmjKBiAZd06sbfd\nsgW1YUOxU4yPFwdAhdZVi3vvpV0FdLJlkya0NZtB14kKDibx55+Jioqie4sWtG7cGMLDafLVVxwN\nDaXJxx8T7fNx4sQJIm8Bkhihobg/+AD3Sy8hFRYiZ2UJJNH8+WLNEhWFZ+pULIcPUz5vnkjoHTv4\nsV07xmkaG7ZswRQfT6rfjxEYSEFQEEdDQjj//PNESxJPRUayrqhIADlujbIywbCqXl38OTgYw2Si\nbPVqMeE+dAjzvn1ojRoJ4fTCQmEWNnkyluXLwevFN2wY9pkzK7We2t57r5jmV6sm0G9lZajduuGe\nNg3Lli24Zs1CuXBB3HBOnPj/9N6pnTvjfustHM88g/3tt1G7dMGUkgLcuRpRd0zSVk6PN22i2Oul\nis1GWG4uu4Gnatdm46ZNFCoKwY0bExIWVjlM8jz9NKaEBOFDWr8+lq+++u0Hl5VhW7xYuJIXFGAE\nB+Pv0QM5NxcQHkGSz4fpwgVhPD1s2B/yRAFRKS9eRGvYEL1RI3EFrlkTOSMDAgIwnT6NfO4caq1a\nKCdOYEpORlJVtHr1UGNixCAnNBQtOlpc6bxekQROpxiu6DqpPh+G04lUWooRGIhn6lRcc+aQkZQE\nqorjlVfIrNBRvl14n3kGvVkzPM8+i+F0Il+7hvOxx6CoCK1lSzzjx2P99lvKP/9cwCvPnWNXYCC9\ng4OFxKrJhL9VK0Y8+KCQh331Ve7JzmbFjz/Su2bN21ZaOStLtBE3GFYmk/A5Ki7GP3AgJfv2oXbu\njPnAATE4GzYMy/ffo4eFodyAQ+7ciWGzCTqhYWCbNw+9Vi3K1q5Fr7DVlLKzUXv2xP3aazjeeAPP\nM8/g794dy9dfY3vrrd8hnf4sNm3axKRJk0iLjsbfqxfLrlzB89hjpF27xsply4iPjyc+Pr4SYPEb\nANB/MO6YpL0xPe7evTuvHz7M7qtXWep0osXEsC8piX4//MBr166xy+Xiu8JCUTVPnxbVNjAQo8JF\nzbJ6tVgBgAD7T5qEHhCAVFYmyNGPPopt0SJBazMMceIHB6PFxPyGYQK/x55KeXk4n3oKIyAAtUsX\nLBs34qtYPZj27sV/zz1C4zgwkMChQ4VqY2ysQEIpioDbqSpIEunFxRxTVdJtNjLPneOoppGh68h5\neejR0UhuNz9pGsfLysjKyhI+PQMHovbrh5SVhXn79j8UAsBkwj1lCuZjx/A88wxagwYoGRkEdemC\ndelS1PbtBftn0SLKv/iC7s2aMdpuJ9ow0KtVY/bFiygZGVzMz+fzVauIuf9+OqxezVi3m9ZXrwrX\n+Vui0q4SBIOpsLBSh8kID4eqVXG9844QGigtxT57Nt6HHkJr2hTzvn0YZjOWtWvRGzTAsmQJ5rVr\nyT9yBM9LL4HJhPfZZ/Hffz+OSZOEuHyfPngmT8Y5frzw5x00CEnXCXzwQYEz/htxgw56V0QEpzds\nYEdICJadO1laWsrY/Hyi3O5Kb9r169f/poX7T8Ydo8YYFRVFbGws1atX554HHqDv4MGE2+3cvXkz\nbQICcAwfzoN79nDP3XfTNicHQkJQLl9GbdIESdfFdLZigCHn56M1a4Z9+nSUS5eEP2xgYCUiSc7K\nQvL5kDwe1KgopIpJtHfs2N9U2Zv1e6T8fJyjR6NWKAfK168L464nnxRV4d13MSwWAVQPDBTVZMIE\nrN9+iz8uTki1NmyIKTERzGYCOnRgcMOGhNjthFosDAkJISw9HcNspkfz5ngnTOBqdDRPv/giwRWM\nk+49eqC1bo16333ck5goTKZq1EBv1uz3v9DAQEEv3L4drW5dcbNwuzECArDPmycUMIKCMO/ahWvO\nHEzJyVBcjHLpElp0NKakJOzp6TB0KFitGCEhQrGjtBTl1Cmxj66AFAKYd+0SP0udOsLDx2YTbcLg\nwcJLFoTx9vnz6A0boletinnfPuRr1/A+8ACWH37AsFrRGjfGsncvpiNHOPLss9S6iXqpN26MHhWF\nfdYs9JAQ1HvuwahSBduCBRgBAbg//FA893ffxXT4MGqbNn9qDXPq1Cl+/PFH6pw4QfNTp7jYrx+d\nHA5W7N1LaU4O9oICEjWNe+6/n40bN5KZmUlxcTGhoaH/62Zc/xVqjLdOjzdv2oRsGKyNiGB8aSkp\njRtztF491rtcZGZkIKeliZVKYiJq69aonTsDoLVpg3XFCuyvvw4+n1CeqF8f08mT6C1aoEVHI+fn\ni57Y4YDq1UGShEP5zXaL/NrTSPn5OJ96SryoAQH4Hn4YJSkJ3733ImdlYZ88GVNSkhDTbtUKJS9P\nIKGCgsRwqmNHsFqFYqHDgaEomJKT+fD0aSaeOMHnBw6w2+3mfZ+PzEuXSAgJYf/Bg1QJCvrdlWzl\nypXodepQvmYNnkmTcLz8MvaJE297LVS7dxfu9cHB6LVqIakqckEB5YsWYTp+HMvGjcLL96OPcM2e\njdqvH3pEBKaMDPTgYIKKiwkYMULsVxVFgFni4tCrVCFg5EgxBa8IOSVFTMYNo3IibDgcv8EfyxkZ\n6GFh6OHhuJYvxzd0qPDe2bABTCZ8TzwhBlNeL7jddN+y5Xe3Ca1tW1yzZ2P96ivhqHD//XgfeQTz\nnj3iWbdtS9m6dWj16hEweDCWNWv+kLQfHBzMyKFDOfDxx+h16ggFy2rViIyKYkS3bhwqKCAsMJCS\nkhKio6OJjo7+S3eLf0fcMZX2o48+4vnnnycqKorPPvqIAX4/+7dupfbp0zx9330E9O7NolWr6PXJ\nJ+xNTaVdWhpyQQG4XPgHDMB/331CmC04GDkjQ/SeOTlodepgunBB9JVt2mBZt05Ug5ISgdKx2dDq\n1cPfv//vhK7htwnrHT5ceNM8+iiWb79F8ngwb9uGpKp4hw9HSUvDqF5daEK53eJwUBTB0y0qQrl4\nUawndB1kmfAOHWhaty4xly+zxzAYW1DAptBQzl+5QjNV5dr582w4fpznJ00iKiqKxMREvvnmGwYN\nGgSShNauHerdd2P77DMhLVO7tqAm3mTgrMbGYl2zBq1NG7FqSUoSbJhJk9DatEE5cQLLli0oKSmV\nplVKUpL4f/D5wGIRxtoBASiZmWC14h86FCM0FPuMGagV0D7r11/jHTlSXIUrvt+yfj3+Ll0qHfXM\nO3aI37nTKYTh2rcXusPff4/3H/9ALijAdPCgcA7IyABdx3T0KHJGhtjp2u2AWPGoPXpgWbdOWJr2\n74953z4s27ej9uiBUaUKWocOqHFxWBctwrJlC1rLlpXY5RuRmZlJ6rJldM3N5drDD/P1iRPEtmpF\nqM/H3txcOsbFEdCqFT/u3MnQoUOxWq3Ex8fTqVMnqt8YuP0vxZ9V2jsmaVeuXFl59XiwYUM2r1lD\nC8OgID2d78vLCW/dmkezs1lrNtOjc2eqJiRg2O3CH/XyZVHNNA3r11+jNW0q/G7q1BFVz+lE1nX8\nvXqJ/iksTBhsBQcL3eGaNfGOGvU7xb8j27bRaPp0/H374n3mGaGdW1SE5euvhYh5/fq4PvoI69q1\noldesgTJ68XftStKaiqmpCTc48dj3rtX+M7k5YmkLS9Ha9OGkIAAtpWU0Dclhc0mE138frYWFtK0\nbl0m7t5Nb4eD/bm5FLndhIaG0qhRI7Kysujw/7B33tFRVevf/5zpJRVICC2VjpCE3iFUQUERFZCS\nxICiKAh6bag0xUITBFFBuiJICYgg0hJIKKGGDgFSgEBII236zHn/2JOhiF7vvb97xbXe71osEiYh\nMydnz97P83xLmzae5yjXri1GWHv3ok5OFsfCqChhaAagVuN85BG0K1firF8fRW4umu3bRYc2JAR7\n//44IiPZOmsWh7/6Cp+2bVmkUPBdbi7X/f2JCg9nycWLtLh9mzmHDvFdXh43HA6auN0Wje+/L479\nR45gGznynjcM9ZYtgh9csyYAmnXrxMLx8cHZqpXYZRcuxDRtGtrNm4WCqW9fJLc22JadjcpqRbJY\n0GzciGwwCKqqQgE6nVAvHTsmwrULCrC+/LIwpouJAXeWr/3JJ5HMZvQTJyLZbPcY0oUGBtL8k0/w\n9fVF9+GHPPnMM/g0bEhIkyY069KFbH9/2nXpQps2bdBqtfeUcP9t/EfH47ubMSkpKf+1z0NDQ4mI\niGDu3LmUOJ346/U4KyrwA55v3JjkPXu4UlREXl4ePq1agctFiVaLQ6nE9tRTGF57DfuWLWAyobh5\nE5evL/azZylUKFCdPUvFvHmcy8vDIsvCpsRmw+xyUejrK8yz9fp7no9UWEiDSZO4WLcu1pdeEkZy\n771H6YkTSBYLpi++IC8vj7Pff48zJAT1vn0UabVcCgsDPz8U+fk4bDbOFxYKokN+PiVVqmApLRW7\nZFgY+SdOcODSJaT8fLrVqsU3+flEBQZSbLVy+oUXOJCTg6+Pj+dIlpKSck/kYuXzdTVujGnuXApV\nKq6ZTHgNHoz2229JTUoSj4eHYx02jILsbEq8vcHhwDh6tOf7nZ07U//772nt7c2RmTN52mplZK1a\n9MrIgCNHWGezoTx/nl46HXFFRXT38kIqKmJvQAD7ExIEwcTlIiU19Z7f762yMk4fPuz5vOTECTJz\ncwUlUpYpfOMNztWrhzMmBnvHjpTZ7VQkJ2NNSMA8aRIVLhelkiQ66bm5mGfNomzwYBQXL4rXn5bG\nzjZtsPfogTIrizSnk9Pt2+M1ciTSjRvi9R04gG3oUMp//JGCXbtw9O7tOXJf/fBDSkBkLhmNnq93\nhYfjql+ftPT0/9n9/6DPfw8PDY0xOTmZrKwsoqOjWbZ0KVJ+Pi0kiboZGRTVqkVk69bMWbMGR9eu\nREZGMjotTfjjXr9O6b596L78EvWePcJUTKnE0by5UL+0bo2zaVPM06bh9dRTUFgo6sv0dGQ/P2x9\n+2IfMOCeJHKpsFAcibt3x9m4MZq1a5HKy5FKS0Waem4ulrFj8Ro0CEdkJM4WLdB9+imyvz8VCxei\nnzZN5KkGB+Ps1g0KC9Fs24ZtwADU+/Yh5edjmj4d7bp1vFm9OjP27+er6GiCtm7lsSFD2KBS4atS\nUadTJzINBrKys2nevDk+Pj5MnjyZyZMn/2ZGC8I+Vv/ee9iffBLV7t0obt3CPGkSzqgokGX0U6eC\nySQey8vD9Omn2IcM8Xz/1NdeY2JODvqYGFbNm8com42dwNGgIN7w8UF56RLfGAyM9PfHPG2aSNwD\nITSYOxfriy+K9ED3bmsYOxZb//44evRAun1bXNOOHXHVry80yb/+imnOHNS//opmwwYq5swRMr/Z\ns0VEZ3g4htdfx1W7NpLFIkKoi4tBr8fWr5+IQ3E3uXyio8UcesIEFFeuoKkcad29K8oA+e5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cBmo+LHHzF98QWA8KXKzER1/jzWZ55B9vbGOHr0v6R7rYQcFIS9c2ch4YuIoPz778FiwWvYMGS3\nsXklpJs3Ue/bh+L2bRytWuHy8xMc8KIinNHRKLOyMMbH/yaL6O+Ah27R3t2M+nHHDhIiI1ldrx47\natdmZKNGbNy4EUVODrKXF+j1ONq0ETWHzYb6559RJyUJWdzw4TgbNxZCgYYNUVy9KgbzN254aqO7\npWVyQADmqVOpWLgQ9S+/4PX445QfPozqzBlsd415lCkpKG7eRLLbhexMlsU4o1KWZjKhzMpCKiwU\nzRGtVhDm3bs2KhUYjfgDCfXqsctdT16xWkGrJSQqiucjI9mUksL27ds9MrB/WxImyyK399Yt8QYW\nEYFpxgyUFy8KW1KXC1dwMMHt25NQty4bbt/m19BQXrDbWffzz9zOy+P0Cy9wxGKhuFYt/IKDCbx4\nkdBq1Yjr148NBQWYvvpKpBdqNPj07o3i3DnsTzyB7dlnhUOI3Y7yxAmU589je/xxnA0b4jV8uDA0\n/wM8iNJnGzJERF0WFYHRiPmzz7ANGIBx4kQU2dmot21D/8YbGF99FamgAPOECZhnzYJq1TC/+y6u\nqlXF0d0tMfQaNux3TdX/f5bPn8TdzaiygAB2lpXRtV07nGFh7L52jZiYGHIOHOCI3S4IB2o1speX\nx7LUWbcuFcuX42rYENXRo6BQiBvHLXiX3WngEvxGigfgatSIiiVLcDZsiD4/X4RP3+XIp581SzCo\njEacUVEoDx1CVipR3LqFrFDgbNwYWatFdeiQiL2023FVqSII7AYDgGhKSRJJBw4Q06IFysJCZC8v\nnGFhxISHszg3l84DBrB8+XKSkpLYuHGjx+Zzo7tD/adQUYHk3uHlwEBBIpEk8PLCNH06ipwcdJ9/\nDk4nnePj+TooiG6+viizsth96xaP9OhBFYWCPdnZdBoxginTp7NTllmjUvHo+fOsnDOHmCZNwGjE\n9NVX4nTh4yPiNhITRXc6JETk97izcnQLFiD7+GDr1w+v2FiUZ878S/eHHBCAvXt3cRoCcDpFmRQV\n5Uk3sD/xBOXffy8M3Rs3RvvNN1gHDUJ58SLfjRrFyJgYstRqFIWFfJuSgiE+HsXJk6yYNg3cVqyV\nJIrNmzd7Tn4PCx6qRhSInXbv3r0kJSURFBxMSJs27C4spG9wMLXOnWOHvz+q9HTGP/44m9aupd3q\n1WK+WFQESiXWt97C2bQpmjVrBG1Rq0VRXIxkMokA50aNBCGjtFQcjx+wcLHZ0C1bBs2b46pfH90X\nX4ixkdOJbtkyHI0b4+jVC2dkJIZJk7ANHYomMRHZYECuWlUcl51OXHq92JUVCtFh9vZmnc3G1ytX\n0r+khFSXi603bnCjrIzXnnqKxXl5PPbxxxT5+HAoPZ0xY8bQqFEjdDodjz76KIMGDSLqLsrl78Kd\nESu5XKJj7qZs3gO1GkenTqi3bkV1/Di1hwyh6WOPUefAAepmZxPVsCHB5eWEzJ5N3awsaixaRK9h\nw3jMx4dWeXnUGjyYNikpVGvdGme7dqDTicW0ZQsolWh++AFnRIRwp4yKwjJ1Kqo9e4SpW3q60EG3\na4d2wQJcERG4HmAI7mlC3QdXeDi6jz9Gun4d/YIFKK9exd67t1B2BQejOn1acMkNBhSZmeg+/xzr\niBGojx0jp3dvXnjjDfQvvYQzKIhJO3cytHp1dDNm8H52NsN8fTlmsfDD+vWMHTsWnU7nkUU2aNDg\nn1/7/yP8rRpRcC/7JP3MGeJ79GDjrl0sLi0lrk0bep07h3bVKjYdPIj5s8+wvviisFQ1mbA3bw6y\njOa77wS1zWgUpAatFmdwsFi8BQWilvmdkYNq3z6Pxar5ww8pT0z01E6uqlVRHz+OvX9/lMePo7h2\nTfB31WqUZ86guHVLHI2jo1EUFornVVAgZog5OfhpNMzv0IEwSeJpWeb5Bg3o2rEjivx8Nh06hKK4\nmJNnzxIXF8eePXtISkrC39//z80I7XZBICktRXZL0/5wrKLXY54yBamkBN0nn4BOh3nqVFy1a6Pe\nvx9n3brovv4ay7vvYvr8c7SLF6PauVMIJ+LixLU6etRDg5QDAz1URjQaVPv3I4PovLdsiaNHD1z1\n6onYFS8vFNeuIblcGMaNE+OofwLp5k00q1djeOstJLMZ1blzVMyZg2n2bOyPPYarenXMkybhaNoU\nr0GDUJ44gXbhQmzDh6PZsQPbk09SUloqaKE5OewIDqbjW28ha7XsNpvpabOhyMsjqkYNTwRISEgI\ny5YteyiYUJV4KBdtJfvk6tWrFF+/TrWkJLKyssjKzWV1fDyZJhM/x8bSKTYWV3CwGPkAso8Pyqws\nlEePorh1Sxxfs7OFLWZYGHJQEIpbt7ANHIiitPR3b2jNtm2gUnG2fn3BL65aFWezZrhCQwWXtrQU\n5cmTaBctwpqQIJLlg4LE8dfhELtIZKSHXSR7eeGMjsbRsiUVhw4x5+BBMu12wktLOZ6ZSXhpKcmp\nqfTQalFv3kxxbi4AqamphIaGEh8fj/99Au574PaAlgoLBdsrMBDcbpP/FFot5smTkaxW9B99hKtu\nXazjx+MyGGD1aiSTCfWGDTibNaN8zRph53P9OtpFi8RxWKdDu3DhnQygsjLRHbbZkAMCkCoqPDN0\nbDYsr7+ObfBgQYwpKMA2YADOyEj0776LMSHBk10L7pqyrOyBdWp5YqKgr941Q5WrVEEqKcE6bhzm\nd9/F+OKLqLdtw9a1q4hs6d79nvDy7Oxsjp88yZHWrbnYowdpvr4cd/++Kn9+cnIycXFx/1pZ8l/G\nQ7lo4Q77pIrBQGl5OWHh4YTrdMS3aME6tZpMh8PDVlGlpyO5SRPKjAzxrq3RCKcEtVqQy81mQX/r\n2lXsvHa7oNbdB0VODlJ2NoqsLG66Q5+k27fRrlqF7OUl0t7GjkX3wQeot2/H8cgjKNPTkb28hCDA\n2xtneLiwWs3KEoQErVYQDbp3p8rFi4zy8WGnUgk6HVnXryOZTFzRajksSZzIySGmVSuWLVtGvXr1\nKC4u5ujRoxx/kEXo3U0mhcLDZPqXodFgfv99ZElC/+GH2J58kh+bNGHF7dtkFhXxxfz5vD54MCvd\nTZ9vDAaUR46wKTGRl0pKyDl4UKQXmkzoP/lEBJDFxQnqqNMJLhfGF18UJYa/P7bBgzHNnCkyjXbv\nxlWzJhVff43y0CF8o6JQr1uHMjWVBqtW4TViBMojR7A/9dQ9dars54etXz+R6VR5Ofz9PRxjR7du\nOJo2RfbywjhuHLZu3TxvZJVd+EqyirNNG0YkJAgVVkwM2RUVHD9+nJs3b97z9Q8LHhpp3oPQsWNH\nnBUVLP7hB0a2bcsJu51vCwvp1rAhDWJjSUpKQlFUhPLIEeH9lJuL8tgxYY9iMIi5m9GIrFIhlZTg\nCg7G+tJLGF5/HdloRLt4MeZp0+75mepffkEODMQZEUGbPn0A0C5dijM0VPj1Xr2K7YUXRIBWo0Zi\nfOF0ip2jogJFZibW0aPFDqtWi26x2YyjWTNc4eEocnPZZbHQw9sbWakEux1H06bE22zsSklBrl2b\nzNu3CQsLo1+/fmzevPnBnOOKCkEM0enEzvoHtq9/Cmo1lnffRffZZ+inTqXRe+9heOEFTiQn0z8h\nAVNiIt61a6M6dowfJYnBb72FX3o63xQViYSHjRtR7d2LZLHgrFcPy+TJOLp1w+vpp8HhwFm7Ntrv\nvxfca8DVuDEVixejmzMH9d69KC5dwjR9OvpPPsH4yiu4/P2pM3w45Z9+6pEp3g/bU0/hlZCAdO0a\ncu3a9yxaxdmzKK9coWztWnwefxzNpk04evb8jZNipdTRAXzbu/dv/h34y90X78dDu9NOmjSJefPm\nsWn7drzatUP/zDNkPPIIz9euzWW1muXLlzN58mT8Tp9myeXLbG/VSojbU1ORSktxtG0rurYVFTg6\nd0aqqBCNqBYtsA0dCk4n6t27ka5fv/NDbTbUv/6KIi/PY42quHAB5eHDYtcwm0Vez6VLIrN21iwq\nVq5EKi0VzCy7HcX169j79EF544ZYSG4vKlfdumzaupUfnU6i9XrW2e2MycsTiWwaDd8YjSz59ltu\nNWlCSUUFzZo1Y968eSS5SwMPUd1iQbp1S2TiVq0qPIL/0wVbCZUKy1tvIfv50WD9er5s2ZKY0FAa\nbNnCUa2WMIeDpOPH6V6jBorLlykMDeWjRx8lE1CcOyfS8Ww2zG+/DUqlyBdSqVDk56O8fBnZ1xfj\nK6/c6Rh7e2MdNQpHixaojh/H+NprONq2xeKmLKoOHcIrIUHEgT7Iq8HbG9uAAYJ+Cbjuir3ULViA\nNSEB9aFD2J57DmtCAsbYWNTbt//fXKu/EA/togWoWbMmcXFxxDz6KK6ICBIPH0Z55QqR9erRtUMH\n0k+cYMWiRcS3aEGn2FhBYrh1C1dAAI7WrQVt0dsbl5+fyGitUUO4/vXti+RweHJlK6Havx/ZbfTm\nioggZe9edF9+ifXpp1FevIjywgXs/fuLlPdhw0CvF2OmBg1wNG4sFnZFBaqDBz3yNclkEtIzpRI/\nPz/mjhxJuNXKU76+jAwKIqZtWxTZ2WxKTsZVty4nL1701FyVr79r166iyVRY+OebTP8ulEosr7/O\nbpOJpwoK+CE4GLRaLpeV4QoKItPh4GhREaf278endm3iXnyRX0NDBQVUklCcO4fKTbCX8vMFeWPC\nBLFQrVbMb76JYdQotJ99JurUsWNx1a5NxVdf4WjXDtWRI6BWYx01iorcXBHVOXcuxqFDheXPfYvX\n9sQTKE+cEI4l/v4iOT49XQg8BgxAs3kztgEDsA8ciOmrr9DNno3us888cap/hP8/p/03EBQUxPHj\nxwkODmbvsmV09/VFlZZGxPXrLJ8zh5g6dcjKz+frBg3IdLlEV1iWsffsiWr3bqSyMpG9c/48crVq\nHmd8qZLKeO0amq1bRc4OQoKH1erRzAYePSoI/4ioR0f79mJRpqZiHTQIEEHV0u3bwtUxJARXWBi6\nefPQfvutqOF8fT3OGCUlJXy+dy+ZTidhwBGdjvD8fJIOH6a7ry+Ks2fvkeIFBQVx/NgxQn19RZOp\n8ij8Z5tM/y6USmwDB7Lb4aCnWo3TLXxwVq/OsGnTBD30+nXkoCCS9uyh9/HjSE4n5evWCceI555D\nO2uWsFXV67H37StOKEVFgipqMKBbsgTZ19dTpzp69qRi8WJs/fuj/uUX1Fu3crl/f7RLl2IZMwbb\n8OHoPv4YY1wcyrvTFQwG7AMHCkGD+3isXbAA64svojpyBDkgwMOxPuZw8H18PNmnT3NgwADmv/su\n5du2sXfJEuZ9/jmlpaW/MR14GPFQL9qOHTt6GlI5WVkcLSriSJMm7CkoIL5bN3768EPCtVqGv/km\n28aOFTuPUimsZS5eRAaxqxYUiMTwvDyRPmCzCaG61YqjaVO0y5cjXb8uupx6vSD9l5cTffgwFreb\nouLmTWxPPy122cGDPd5EqkOHhFGc04nkcCBXqULFokVCjFBQgLIyLgPhs/t8/frsqFYNqbSUK2Vl\nyFWrcrlGDY7l5XHyxAmPFK95dDQdmzUj68yZ/6zJ9G+iS9eujP3pJ+q0bg2yzKdmM9qlS3HVr88P\n/v40r6igc9++DHQ4qHf0KJbx43G2aYNl+nTMEyeiXbUKw4QJyLKM9ptvxCnGaBQ9ge7dKfv1V1Rp\naejmzr3jS6zXY33jDcwffYQiL4/IHTuwJiSgnz4dqaiI8o0bsQ0YgGHiRAwvvojy1CkAbP36oTx7\nVohCLl1CmZOD7ckn0bi/vhKJiYk0a9eOX7p141i1aozZupXNc+dy+qefeD4ykg0bNtxjOvD/ucf/\nIUYkJAiyd6NGyGo1e7Kz6Z2RQadHH+WHxx+na7t2wg5Vp0N16pSobSp5waWlONq3F7vu4cNi/KDR\nCGlaTg6axEQ0GzcKw7ABA0CpFFasrVqJGy0zU+w0wcGod+4UR2NAyslBcfmyOHZ7e2Pv2xdns2bi\nZnI4BGFAocAwfrwImbLbSTp6lC5PPYWirEw0ynQ64rt1E8ytGjWEFK9mTfq3bnQmPFAAACAASURB\nVC38kQ2GO0ym/zUkCevo0Tg7dMAZEYHq7Fk0M2d6DAZcSiX6Dz/E3r8/9qee8nybvV8/0Zy6cUMY\nBaSkYB06FGtsLPYnnkC7di2qvXupWLUK5alTGN544x4qoaNrV8q/+06cWhYswN6pE5rVq9HNmYO9\nf3/KNm/G0b07hvHjMbz6KoqsLGzPPissZE+fxjJ6NIpLlzxU0kpU8re7xsRQqNdjbNmSrAsXuG2x\n4F9URHZ2NrfdjKiHRTv7IDx0jKi7kZKSwogRI5g3bx4/7NhBm/btCXzkESpCQmiuUlF24AA2k4nI\nTp2oX78+S/fupbmPD5hMSBUV2OLjRUf54kVsL7yAXL06qoMHcdWti+rAAaxvvIF6+3ZPPIas12N5\n+20UN2+i++or9vTqRdiZM6KWfeIJVPv342zWTLgQWq1oEhOFckSvRyosxDp+PLJKher4cZQXLyJV\nVGDv148funXjm6+/ZsDBgxy4do0tdjt5ubm8HhHBV6GhNOvdm/6xsWw7doy4xx7DYjJxKCODU5cv\n8/KYMX/p9S++fZszBgMYDCQdPcpXSUk0qFuXb8vKWLtiBTe8vbkwcCAH9+0j4PRpqq9ahfaHH3C0\naiXM23U6HC1aoF2zBtnXF/PMmShPnECzbh3OBg2wjh2LKjkZ7fffi+vqNiTH25skf3+Ca9ZEu3at\nKGdyc1Hv3y9cMiMjsQ0ahFRSgn7aNCSLRZBdbt3CtHAh2iVLcHTocE9kSklJCXl5eTRq1IgLp04R\nmZ7ODaMR2ceHBp06cUOpJCoqiu3bt9O4cWPy8/N/l5X138bfwvf4QZ+fOnWKlJQUD0PKULs2P6ak\nEHj6NDdnzGCnWo2lfn0u9OzJ2S+/5CejETMi2U6SJFLDwij75Rdx5G3WjH2yTPmuXWLsoFaTkprK\noZgYlBcuIN28SUa9eqQcO4b2yy+xDhnCsStXKF29GsW1a9g7dcK+bh17GzQQUsBLl7ielobl5k0R\nuuXlRXJJCWlOp4clZHE4OOPtjU+9enyWlsatQYMYUFDAiyYTXUNCOHXkCNvXrhWCAp2OlcuWkXr6\nNBuTkohs3pytW7f+5dd/+fLl+FepQkbLlpT06MG8Hj2IyM9noEJBXOPGBPbqResDB+i7YQNJa9Zw\ntG5dT51arNNhcTgE13jQIKz791PxzDNY3nxTGKdPmMDplSsxf/IJjpYtcfbrx9F16zw//+S5c+yK\niqJi4UJhW3vhAgUZGcI6pqiIlMOH2R0aStnPPwvrnEuXkK1WlKdPozp6lL2+vve8npdeeokffviB\njRs30qKoiM+9vGg+bBhNH3uMJadOERQUxM6dOz3jtsr776+6/r+Hh8b3+J+hUmf783vvMem77/ix\npISLYWG8a7Ox/P336fDmm3w4ciTvrluH8upVZF9fSnfuxGvIEBydO2OeMQMA/Ztvip02LY2KxYsB\n8G7TBsWNG1jHjsXRrp2w9FywAEVGBoZx44ScLjRUMHreeQfFpUsiBX7iROFeUasW9n79sI4ZAy4X\n3p07i8aR0UjFmjUknjlD1pUrPNm4MY0XLOAbSeLlvXsB+LhFC8a+9BI7DAZOXrzI2LFjPa83Jibm\nL3unr8SmTZuYOnUqS7/6iuwTJ7g+bx6Drl8nDPi6Th1in30WZ2Qk7+3fz/i338an0tkyNxfDW28h\n63TCPL5WLZEqWFqKdtEibIMGof75ZxRFRZSvWoWrfn00P/6IdsECTHPm4HTTCCshFRaKzKQjR3A0\naoSipATT118LRhygSk5G99lnqI4exeXlhatJEyoWLnyg2F69fj3q3buFbWvlzv6Q4W/he/zPUFlj\nFFdUcPrFF1malITs78/xiRP5bswY2kZHi1GIVit0s1otykOHkMxm7I8+6vl/HO3bC5Nqt1BAunlT\n1IsqFeqNG1EeP47lH/8Qn+/Z4/l+/fTplK1fL+a6NhtyYKCQCPr6orh+XXgi//STGMvcvi0ojGYz\nhtdfp8bVq/Sz21lrtfKIWk1WZUNJkkCvR9bryc7L8zC8QkJC/vvJbE6nOJHcvv3APwr33+YTJ7hQ\nowbfxsUREhFBv9JS1ioUjNJouOTri3XECJJPnSJuxAg2rl9PbHw84I6+DA5GsliwxcSgmzMH5yOP\nYH3lFew9eqCfPl3U8S4XxoQEyteswfbMM7iCgjCMHSscKO4iO8hVq2L65hs0S5eKlLyAAIxDh2Ka\nNw9nVBS6+fOxvPYahokTRQ+jZUu8n3kGW9++WEeN8ngfK9PS0Kxfj+nzzx/aBfvP8FAv2pSUlN90\n8HybNWP36dN0jY7mmELBnsxMel25wrkxYzi+bRvZBQVESBL4+KDZvBk0GhytWnm+39G+Pbq5c4X+\nE/eYR6vF3q0bymPHwG7HFRaG4uJFbN9+i9bpRL12LS4/P3QzZ6K4ehXJTYFU5OSIBHgvLzRbtuCq\nVk3MTyVJJPE1b475o48wZ2Twk9NJp9JSbIcPw+7dOJo25VKdOhy9epXMatWI7dPH40oxZcoUAA4f\nPsy0+xhbfwiz+c7CKykRC6+4+J5/83xcVgYGAy5/f2Q/P2RfX/G3nx+uevVwmUxc3bsXf4OB3aWl\ndO3Zk4w6ddjarBmdnU7sWVnIxcXIAQHICgXJe/bQrU0bMZ/WaFCcPy/iUK5fF3VtdDTqLVtwxMTg\nbNIE0/z5qHbuRD91Kopr1/AaMYLydetwdOpExTffYHzlFa7s20edadPuNOGUSmwjR+Jo3RrjmDFI\n5eUYRo3C9uyz4nfboweu6dNR2GwiTe/llzk7fTrXu3fnkSeewNq5M6lffklI27Ycnz+fK+XlREZG\nelQ8cXFxnpPC791/DwMe6uPx/RctPT2d27dvExoQwIm0NPb++iv/qFqVzGvXONy1K3GPP46jXTt2\nAmEBAXS323G2bUvF8uVQXi5UNwUFGCZMECSL/v3RLlokAp9r1kR9+DAolbjCw5F1OlyXLyM1bIgy\nOxurm7zhfOQR5Fq1UK9bh2blSuTq1bGOHo1t+HDxJGUZn+bNkXJz+X7IEHYB48aP58Thw6R+8glv\n1KrFidxcCmrWpMN773Hb6ST71i0iIyPZtGmTx2ImNjaWlORkOkVG3llolQvQvfgU9y1IXK47C9C9\nGF33LUj5rkV6D5PKZEKVno4yLU102NVqLlarRvDgwTibNr0jYbTbPSwy3fz5OHr0uOckg8slpI2f\nfYazUSNxXA0NRXXoENY+fdCuW4d51izPGIyyMvRTp6JdsQJnw4aUbdsGBgPSjRvYn3sOr+7dsbz9\ntqCD3o2yMgxvvIF6zx4oK8MaH49l2jR8WrTA9uijKCwWTHPmMGXqVOL79SPlo4/Iyspiur8/jk6d\nyLRaKWjTBp+oKDZt2uQRBVTykR90//0v8bc9Ht9/wSo5uFn5+VSx2VjQrBnahQvZ5OPDyGefJfGF\nF8hxOPjYYMBltwtG1OnTIrBLqcRVtaogWTgcSMXFYm4rSVhjY1FmZ+MwGJDy87GOGYPi8mU0hYXY\nevfGeesW9scfF8kFbs8n/TvvgNGIVFqK3c1RBoSu1+1F5RsayuyEBKTSUm4uW8aCiAgUly6hzszE\nVq0aRzdv5mhODgktW5KUmMizAQGUlJbit2MHxm3beLSsDIxGsfDuX4z16+OsXJTuP7jT5v4spNxc\nVGlpqNLShFtigwY4W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"text": [ "" ] } ], "prompt_number": 215 }, { "cell_type": "code", "collapsed": false, "input": [ "with np.load(\"nx6444.npz\") as nf:\n", " uw64 = list(nf['arr_0'])\n", " w44 = list(nf['arr_1'])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 216 }, { "cell_type": "code", "collapsed": false, "input": [ "plotcommunities(uw64,w44,\"nx6444.pgf\",\"Unweighted community 64 interactions\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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vkap2kK3duqE6erRZ93JVuLTS2jh6kpKSGDVqlBxfGhCAYLEwAPgwN5dbrr0W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\nz3nP+Z696MaP98hpromSkhJCQ0M95FLPnjtHcWk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"text": [ "" ] } ], "prompt_number": 217 }, { "cell_type": "code", "collapsed": false, "input": [ "plotcommunities(w44,uw64,\"nx4464.pgf\",\"Weighted community 44 interactions\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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C4l0NNBqx3XADO8rLuS00VKlVbLViHT2akxkZRIwZw/Qf/QjxzJkmSovBoDhO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\nOlSuoYEonY6HAgLYWFPDrdHRrNm5kzv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D3Y7uzTfpWLgQrdmMubSUqupqjEYjZrNZPsqJ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\nMMQQohUIhhhCtALBEEOIViAYYvwf3XFzaORGicQAAAAASUVORK5CYII=\n", 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