pipeline_union.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from lib import jsoncorpus, datastuff, analysis\n",
    "import gensim\n",
    "import traceback\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.pipeline import Pipeline, FeatureUnion\n",
    "import sklearn.preprocessing\n",
    "import sklearn.cross_validation\n",
    "import sklearn.ensemble\n",
    "import sklearn.svm\n",
    "import sklearn.decomposition\n",
    "import sklearn.neighbors\n",
    "from lib.scikitComponents import *\n",
    "import itertools\n",
    "import collections\n",
    "from lib.scikitComponents import pipelines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Done.\n"
     ]
    }
   ],
   "source": [
    "# Load in the previously created corpus and dictionary of scraped sites\n",
    "#dictionary, corpus, meta_corpus, dmoz_data = jsoncorpus.load_or_create('docs/sites.jl')\n",
    "dictionary, corpus, meta_corpus, dmoz_data = jsoncorpus.load_or_create('docs/sites.jl', stemmed=True, prefix=\"stemmed_\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def merge_corpus(a, b):\n",
    "    a = dict(a)\n",
    "    b = dict(b)\n",
    "    for k in b:\n",
    "        old = a.get(k, 0)\n",
    "        a[k] = old + b[k]\n",
    "    return [(k, a[k]) for k in a]\n",
    "\n",
    "\n",
    "merged_corpus = [merge_corpus(a, b) for a, b in zip(corpus, meta_corpus)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14\n"
     ]
    }
   ],
   "source": [
    "# Set up array of input data\n",
    "X = zip(list(corpus), list(meta_corpus), merged_corpus)\n",
    "# Link topics to URLs\n",
    "meta = list(zip(dmoz_data['urls'], dmoz_data['dmoz_categories']))\n",
    "# Encode class labels\n",
    "classes, top_categories, dmoz_encoder = datastuff.encode_dmoz_categories(dmoz_data['dmoz_categories'], merged_corpus, level=0, minwords = 0)\n",
    "\n",
    "print max(classes)\n",
    "#X = [X[i] for i in nonempties]\n",
    "\n",
    "verbosity = 0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get the scores of different combinations of classifiers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy: 0.564 (+/- 0.07)\n"
     ]
    }
   ],
   "source": [
    "# TFIDF on body and metadata, LinearSVC\n",
    "clf5 = pipelines.make_classifier(dictionary, feature='tfidf', corp_type='both', classifier = 'svc')\n",
    "scores = sklearn.cross_validation.cross_val_score(clf5, X, classes, cv=5, verbose = verbosity)\n",
    "analysis.print_score_accuracy(scores)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find good parameter for C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# clf = pipelines.make_classifier(dictionary, feature='tfidf', corp_type='both', classifier = 'svc_gridsearch')\n",
    "# clf.fit(X, classes)\n",
    "# print clf.steps[2][1].best_estimator_\n",
    "# clf.steps[2][1].grid_scores_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# clf = pipelines.make_classifier(dictionary, feature='tfidf', corp_type='both', classifier = 'svc_gridsearch')\n",
    "# clf.fit(X, classes)\n",
    "# print clf.steps[2][1].best_estimator_\n",
    "# clf.steps[2][1].grid_scores_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Do some analysis on a single test/train split"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find the score for each category. \n",
    "\n",
    "Note that if the classifier assigned *random* categories, the score would be $\\frac{1}{\\textrm{num categories}}$. Instead, it is actually quite high in some cases, indicating a moderate amount of success (given how naive this is!)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             precision    recall  f1-score   support\n",
      "\n",
      "       arts       0.51      0.60      0.55        30\n",
      "   business       0.78      0.62      0.69        52\n",
      "  computers       0.79      0.83      0.81        59\n",
      "      games       0.64      0.86      0.73        21\n",
      "     health       0.61      0.76      0.68        29\n",
      "       home       0.74      0.77      0.75        26\n",
      "kids and teens       0.62      0.67      0.65        15\n",
      "       news       0.72      0.69      0.71        42\n",
      " recreation       0.79      0.57      0.67        40\n",
      "  reference       0.54      0.47      0.50        45\n",
      "   regional       0.11      0.67      0.19         3\n",
      "    science       0.64      0.63      0.64        54\n",
      "   shopping       0.67      0.74      0.70        35\n",
      "    society       0.65      0.29      0.40        45\n",
      "     sports       0.80      0.90      0.85       104\n",
      "\n",
      "avg / total       0.70      0.69      0.68       600\n",
      "\n"
     ]
    }
   ],
   "source": [
    "X_train, X_test, y_train, y_test, ind_train, ind_test = datastuff.tt_split(X, classes, test_size = 0.2)\n",
    "clf = pipelines.make_classifier(dictionary, feature='tfidf', corp_type='both', classifier = 'svc')\n",
    "clf.fit(X_train, y_train)\n",
    "predicted = clf.predict(X_test)\n",
    "print sklearn.metrics.classification_report(dmoz_encoder.inverse_transform(y_test), dmoz_encoder.inverse_transform(predicted), dmoz_encoder.classes_)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot a confusion matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.55384615,  0.68817204,  0.80991736,  0.73469388,  0.67692308,\n",
       "        0.75471698,  0.64516129,  0.70731707,  0.66666667,  0.5       ,\n",
       "        0.19047619,  0.63551402,  0.7027027 ,  0.4       ,  0.85067873])"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAg8AAAG3CAYAAAAzVLYnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4FVX6xz9fBQETioAEiCAgIiItgIgFg6Is1sUKdqxg\n",
       "Xwu77trBggVXVFSwAL8VwVXBtaKIggi6CNKrYuiQ6EoTiAh5f3/MCVyuScjNvRNy5XyeZ54798w5\n",
       "3/POO+W8c+bMjMwMj8fj8Xg8nuKy3942wOPxeDweT3LhgwePx+PxeDwx4YMHj8fj8Xg8MeGDB4/H\n",
       "4/F4PDHhgwePx+PxeDwx4YMHj8fj8Xg8MVFubxvg2YUk/9ysx+PxxICZaW/bsC/ig4cyxtmHPFas\n",
       "fAs3jKNp1VOLlfftH+4odv19+z7IfffdX+z8e1s3TO2yovv++wuKlW/UqOfp0eOGYut+t+jHYuf9\n",
       "5NNhdDmlZ7Hynn5Ws2LrDhr0BDfe2KdYeY9oUrPYumXFx4c3ObhY+WLxA4Tri7B0w/DxOee2KHb9\n",
       "nsTib1t4PB6Px+OJCR88eDwej8fjiQkfPCQpNSs0CkU3MzMzqXTD1E423ebNjw5FF+CwRq1D0T36\n",
       "6ONC0U02H4flB/D7sScc5L9tUXaQZMUd8xALsYx58JQ9inuvOFZiGfMQC7GMeYiFWO7zx0pYPi7u\n",
       "mIdYCdMXYRGGj885t4UfMLmX8D0PISLpL5IqxaNx7YOdGf7tjYxZ1oe7Xz13Z/p5NxzDy1/35s3v\n",
       "bmfwl9dx+hUZcdk6ecpkMtpkkFo5hfbHtGfGjBlx6YWtG6Z2sumuXr2Me++7isuv6MjFl3TggQev\n",
       "Y+3aFQnR3v+3bVw94HLu/EdnOr/7TEI0H3nkbk48sTktWtThxhsvS4hmPsnm42T0RRi6Ye7DxUXS\n",
       "DkkzIqb6kqpL+lzSJknPlqpBMeJsHSdpsaRPJFUrJN9SSbPdOk6NSH9A0sqI9e9aVH0+eAgJSfsD\n",
       "twIHxqNjZnzxn90j9kMaV+fSv53I9t928ErfzyhXfj+u7XsK1WunlqiO3Nxcune/kC1bNjNgwFPk\n",
       "5GTT46Lu5OXlxWN6aLrJaHOYvvh5XQ4AF/W4kZNP7sbs2V8z6PkH4tYFOO6z/yN1408AGIm5wJPE\n",
       "6aefs3M+USSjj5PNF2HphrkPx8AWM8uImJYDucA9wJ2lZYQcJSh6FzDOzJoA493/gjCgk1vH9lHp\n",
       "T0Ws/9iiKvPBQwmRNEbSNElzJV3r0n6R9KSkmcA/gLrA55LGS9pP0jBJc1zU95fi1PPyA5/x7svT\n",
       "dkvL3fIbO7bn8b+1vzBn8nLW/7SF337dzm+520u0LmPHjiUnJ4fevXrT67peXNnzSrKyspg4cUKJ\n",
       "9MLWTUabw/RF0yNa06/vq5x2Wg+uufouUlKqsHLlkrh1D16zhLaT32ZyMR/RLC5///tDXH75dQnV\n",
       "hOT0cbL5IizdsPwbL2a2xcwmA78WlU9Sf0nzJM2S9IRLS3PtxEw3dXDpt7t2YI6kW11aA0mLJA0H\n",
       "5gD1JPWRNNVpPlAMc88Ghrv54UC3okyOMf13+OCh5FxlZu2Ao4FbJFUn6GX42sxam1k/YDVBhNcZ\n",
       "yADqmlkLM2sJDC1uRdEx6E+rN/HCPz7hyHbpPPf51TRsVotBf/uYTetzS7QiWUuzAKhbNz34TU93\n",
       "6UtLpBe2bpjayaYLUK5c+Z3z338/j82bN9KsWdv4RPPy+NPoJ5lxbDfWph8Rp4W/J4yxVknnY0cy\n",
       "+SIs3TD9GwOVIrrs345aVuhGklQD6GZmR5lZK6CfW/QM8LmZtSY4/8+X1BboCbQHOgDXSsofjdwY\n",
       "GGRmzYGmQGPXM5ABtJPU0dX3gaTaBZiSZmbZbj4bSCvEZAM+dRe/10Ytu9kFK68UdtsjHx88lJxb\n",
       "XQ/DV8AhwOHADiB6p8tnCdBI0jOS/gRsLGnFNetW5toHOpM1P4dHrh5N1vwcej10aolvW0QT1iDa\n",
       "MAfnJpvNYeiuXPkDjzx6M7VqpXPtNX+PS6vF9LFUWZ/DvIxTqbwhGFhZMfcXKm3ekAhTS4Wy7uPS\n",
       "JFn2473s360RXfbnxVBuPZDrGtxzgK0u/STgBQAL2AicAIw2s61mthkYDXQkaNCXmVn+GIQuQBdJ\n",
       "M4DpQBOC4AIzO8PM1hZlkAUbprCNc7yZZQCnATfmByXO1oZAa2ANMKCoOvwbJkuApE5AZ6CDmeVK\n",
       "+hyoCORaIUeTma2X1BLoCvQGLgSujs63cMO4nfM1KzSiZsXDfqd1RJu6VDiwPF99tJhvPl1Cg2a1\n",
       "uPiOEzgioy5ffbQ45vVp1DB47HPlymCA0upVq1x6w5i1SkM3TO1k081nxYol3Hf/1VSoUJG+D75C\n",
       "tWrxjcavvOFHDty8np7P7LowaTbzU7aXO4BPzi2bT+8km4/DJBn34+L4d+7cb5g795u460okZrZD\n",
       "UnuCNuF84CY3D7+/DWBRaWJXI785Ku+jZjYkBlOyJdU2s7WS6gA5hdi7xv3+KGkMQS/IJDPbmV/S\n",
       "y8B7RVXmg4eSUQVY5wKHIwm6nwpik8v7s+va+s3MRktaDPyroALRr5xue3IjDj0iOIhq1q3MKd1b\n",
       "8P3sIOjsdO5RrP9xM5ndmmFmrM76uUQr07VrV2rVqsXgIYNJSU1l6LChNGzYkMzMTiXSC1s3GW0O\n",
       "0xc//bSWe++7il9+2chZZ17GosWzWLR4Fh1POK3EmgtbduLH2kGDUDN7KcePH84PTdozs8PZcds7\n",
       "ceI4vv9+IQBr1qzi7bdf5+ijj6V+/fgaoGTzMSSfL8LSLa5/mzc/erf3QLzx7xfiqjcGCh0LICkF\n",
       "SDGzjyRNIehlhmDQ4vXAQDeAPgWYBAyT1J+g578bcGkB+h8D/SSNMLPNktKBbWZW1PPV7wJXAI+5\n",
       "33cKsPVAYH8z2+Ts7gI86JbVyQ8sgHMIxl4Uir9tUTLGAuUkzQceIbh1Ab/vJhoCjJU0HkgnGDw5\n",
       "gyBwKGwk7G6c06s9l92ViZnR4Mha3PDYn2jYrBZD7h1HufL7cd1Dp1Cu/H4MufdTli38qUQrU6FC\n",
       "BUaNHEVKSip33HE7aWm1GTlyVNyjv8PSTUabw/TF2rUr2LhxHWZ5vDZiIP/85994+uli7V6F8nOt\n",
       "Q/mu+Yl81/xEVjRsBcD66nXJqXt43PYOG/YCTz/9CJJYvHg+Dz54JzNmxH81mWw+huTzRVi6Yfk3\n",
       "RgrsNZa0lKALv6ek5ZKaRmWpDLwnaRZBcHCbS78VOEnSbGAacKSZzQCGAVOBr4GXzGxWdP1mNg54\n",
       "HfjKlX8TSHX2FDbmoT9wqrs4Pdn9R1JdSR+4PLWBSe6W+3+B983sE7fsMTeYfxaQGbEeBeJfElWG\n",
       "kH9JlKcA/EuiAvxLonbhXxIV4F8StffwPQ8ej8fj8XhiwgcPHo/H4/F4YsIHDx6Px+PxeGLCBw8e\n",
       "j8fj8XhiwgcPHo/H4/F4YsIHDx6Px+PxeGLCP6pZhpBkOWtL/NbqQrkq4/mEawKMWVZqH5pLGG+9\n",
       "OTsU3c6dG4eiC3BQ9bg+zFoos+YU+YbbElM/vUooustXJf7YyKdVi4Iem4+fdT9vCUV3/PjvQ9E9\n",
       "/4KWoehCOMfeRZe08Y9q7iV8z4PH4/F4PJ6Y8MGDx+PxeDyemPDBg8fj8Xg8npjwwYPH4/F4PJ6Y\n",
       "8MGDx+PxeDyemPDBg8fj8Xg8npjwwYPH4/F4PJ6Y+MMFD5IaSJoTp0ZdSW8myqZE8Y+7+9Cs+WGk\n",
       "1anKpZddGLfek+9fxhuL/sKb39/G05/0pE2nhtRpeBAPv9mDEXNv5o1Ff6HvyAtJq1+1xHVMnjKZ\n",
       "jDYZpFZOof0x7ZkxY0bcdpeG9rZtv3L7nedw8aVtGTo8/s+kJ3rbRRKWH5Yv/4Fe111A55NbkHli\n",
       "U2684WJWrlwWt25YvgjLXgjPx2HuF5D4/RiS67iLBUk7JM2ImOpLqi7pc0mbJD1bqgbFiLN1nKTF\n",
       "kj6RVK2QfNUkvSVpgaT5kjq49FaSvpI0W9K7kioXVd8fLnhIBGa22swu2Nt2RCOJc885f+d8vCz4\n",
       "ZhWD7/mUN56ewqFH1OSG/l2okZaKJEY88SWfvjGHVh0bcPOTp5VIPzc3l+7dL2TLls0MGPAUOTnZ\n",
       "9LioO3l5eXHbHqY2wOgxQ/j55xwARPy+TvS2yydMP/z4YzYAvXvfyVlnXcjUqZN4qF+fuHXD8kVY\n",
       "9obp47B8kU+i9+NkO+5iZIuZZURMy4Fc4B6g1N6IJ0cJit4FjDOzJsB4978gBgIfmtmRQEtggUt/\n",
       "GfirmbUExgBFHjx/1OChnKTXXFT1pqQDJS2VVB1AUjtJn7v5zIhI81tJKZG9F5J6Shot6SMX0e0M\n",
       "hyV1kTRF0nRJ/5aU4tL7S5onaZakx13aBZLmSJopaWJJVurhhx6n13U3xuubnbzy4GdMG7+EWV8u\n",
       "57dtO/hf9i/M/2Yl/zh/JB8On8FL943nl/W51G9So0T6Y8eOJScnh969etPrul5c2fNKsrKymDhx\n",
       "Qty2h6m9bPliPho7kvPP6x23Vj6J3nb5hOmHVi3bMXjIm1xw4RXc2acvVapUJSvru7h1w/JFWPaG\n",
       "6eOwfAHh7MfJdtzFi5ltMbPJwK9F5Ys65z/h0tIkjXHn/JkRV/i3u7ZgjqRbXVoDSYskDQfmAPUk\n",
       "9ZE01Wk+UAxzzwaGu/nhQLcC7KwKdDSzV936bTezDW7x4WY2yc1/CpxXVGV/1ODhCGCQmTUDNgI3\n",
       "AIW9h/sO4AYzywBOIIg0o2kFXAi0ALpLSpdUE7gb6GxmbYHpwO0uQOlmZkeZWSvgIadxL9DFzFoD\n",
       "Z5V0xRL5OvGUKhX41+ybefL9yzAzXnngM/J27NJv3LI2qdUqMu/rlSXSz1qaBUDduunBb3q6S18a\n",
       "n+Ehaufl5fHSS/3ocuqFNGrULC6taMJ4FXyYPi5XvvzO+fnzZ7Fx4wYyMo6JWxfC8UVY9obpYwjH\n",
       "F2Htx8l43MVApYgLybejlhW6kSTVYPdzfj+36Bngc3fOzwDmS2oL9ATaAx2AayW1dvkbE7RbzYGm\n",
       "QGMza+/KtpPU0dX3gaSC3qeeZmbZbj4bSCsgT0PgR0lD3cXyS5Ly338/T9Kf3fwFQL3C1hmgXFEL\n",
       "k5gVZvaVm38NuLWIvJOBf0oaAYw2s1UF9BiNN7NNAJLmAw2Ag4BmwBSX/wBgCrAByJX0CvC+m/Lr\n",
       "GS7p38Dowox5/IlHds4ff1xHjj++4x5XtqRs/WUb9/Z4g3qH1+DKezrx1xf/zLUdXsQMDmlcnXuG\n",
       "nUv28vUMvmdcQuoL8zsqidKe+MW7/PjTGq474QyWrwiuWrds2cTGTeuoUvmghNQRJmH4eGnW99x+\n",
       "21XUrVufPn/tt+cCe5mw7U2G7wGV1n5c2sfd/PnTmL9gWkLqLICt7iIyVtZT8Dn/JOBSAAsctVHS\n",
       "CQTtzFYASaOBjsC7wDIzm+rKdgG6SMofUJJCEFxMMrMz9mSQmZmkgjZOOaANcJOZfSPpaYLbG/cB\n",
       "VwHPSLrX2bOtqDr+qMFDpNME5AHb2dXTUnFnRrPHJL0PnAFMlvQnft9FFfl/B7v8Ns7MLo6uXFJ7\n",
       "oDNwPnATQe/E9S79DGC6pLZm9nN02b/2+Ufx1zJO8vKM2V8uY/aXyzjhzCNodkw9UqtVpFrNFB5+\n",
       "swe/bt3O3ReMYv1PJfu4T6OGjQBYuXIFAKtXrXLpDeO2PSzt//0vm02b1nHXP3rsTPty8oeUL38A\n",
       "115zb1zaYRCmjwF++GEx1/fuTsWKlXhx8BvUqHFwQnTDIgx7w/ZxGIS1H+/t465Zs3Y0a9Zu5/+3\n",
       "Rw+Jq95EYGY7Cjrnu8XRV6IWlSZ2tVebo/I+amaxrGC2pNpmtlZSHSCngDwrgZVm9o37/xZubISZ\n",
       "LQL+BCCpCUFbVSh/1OChvqQOZvY1cDHwJVAZaAeMJeJejqTDzGweQZfN0QS3PPb0+TcDvgYGufJL\n",
       "3HiHusBqIMXMPpI0BVgSUc9UYKqk04BDgN8FD0UxbtxYFiwMxrasXLWSEa//H8ceezyNGh4WiwwA\n",
       "GZkNOeHspiyctoqadStzRNt0clZs4ICK5Xn4rYuoXK0i/3lpEk3bpdO0XTqT/rNgz6JRdO3alVq1\n",
       "ajF4yGBSUlMZOmwoDRs2JDOzU8xapaV9bIdTqV8/+ELmihVLeHv0YFq1Op5TTolv/Gwit10kYfp4\n",
       "7drV9O51IRs2rOf6G65h9uzpzJ49nT/96c97LlwEYfkiLHvD9HFYvghrP0624y6BFDqA0Z37f3fO\n",
       "Jxi0eD0wUNL+BL0Hk4BhkvoTXMx2I+idiNb/GOgnaYSZbZaUDmwzsx+LsPFd4ArgMff7TnQGF1is\n",
       "kNTEzBYDpwDz3HocbGY/StqPYJDoC0U55I8YPBiwCLhR0qsEjnkemAq8ImkjMIFd0d6tkk4i6J2Y\n",
       "C3wEpEcsNwq432VmP0nqCYyUVMEl3w1sAv4jqSLBDnGbW/a4pMNd2qdmFvP3aZ9/4VmmfPUlkpg/\n",
       "fy533HkLA59+vkQnmk3rttKkdR0yux3JttztzP5yGa/2/Zw6DapRtcaBmBmX/z0zf11LFDxUqFCB\n",
       "USNHcfMtt3DHHbdz1FHNefHFFxMyqjws7fT0RqSnB1dXqanBk05ptQ6hYYOmcekmcttFEqaPV65c\n",
       "yrp1/0MSg57rDwRPBMTbGIfli7DsDdPHYfkirP042Y67GCnwHoykpQQXnwe4MQFdzGxhRJbKFHzO\n",
       "vxUYIulqgh7r3mb2X0nDCNojgJfMbJakBpH1m9k4SUcCXznf/gJcQjBe4QPgajNbG2Vqf+Dfrr6l\n",
       "BOP0kFTX1ZPfk3AzMELSAQSBzpUu/SJJ+aN33zazYUX4CiXD/bt9BUmWs3ZjwnWvyng+4ZoAY5aV\n",
       "2tNLCeOtN2OO2YpF586NQ9EFOKj6gXvOVAJmzYk+9ySG+ulVQtFdvirxx0Y+rVoUNP4sftb9XLJb\n",
       "fnti/PjvQ9E9/4KWoehCOMfeRZe0wcxK/ZlOzx/3aQuPx+PxeDwh4YMHj8fj8Xg8MeGDB4/H4/F4\n",
       "PDHhgwePx+PxeDwx4YMHj8fj8Xg8MeGDB4/H4/F4PDHhH9UsQ0iydf+LfslY2eXctMdD0/5kSzhv\n",
       "c/xlU5HftykxqZUr7DmTJy4mTU7M57ULouPxh4aiG5bNGS3DebQ02fbj8geU849q7iV8z4PH4/F4\n",
       "PJ6Y8MGDx+PxeDyemPDBg8fj8Xg8npjwwYPH4/F4PJ6Y8MGDx+PxeDyemPDBg8fj8Xg8npjwwUOM\n",
       "SGol6bS9Ufff7rqTJk0bUL1mKj0uPr9Ma5evUI7hc2/i01/v5+anA3d17ZnBawtv4cMNd9P//Uup\n",
       "UadyXHVMnjKZjDYZpFZOof0x7ZkxY0bcdofp4zDsDVM3TO2wdG+4/lzOPKMVp5/WnOuuPYupUycm\n",
       "RDdMH4dhs9+PY0fSDkkzIqb6kqpL+lzSJknPlqpBMeJsHSdpsaRPJFUrJN/fJc2TNEfS65IquPQL\n",
       "XPoOSW32VJ8PHmInAzg9lgKSyiWiYgnOO/eCfM1ESIamffk9mdR0n2Y2gyZt63Ln4LPJWbmRIX8f\n",
       "R+vMBtw26MwS6+fm5tK9+4Vs2bKZAQOeIicnmx4XdScvLy8uu8PycVj2hqWbrDY3b96Wm2++j0sv\n",
       "u4msrMU8/c/74tYM014Ix2a/H5eILWaWETEtB3KBe4A7S8sIOUpQ9C5gnJk1Aca7/9HaDYBrgTZm\n",
       "1gLYH+jhFs8BzgG+KE5lSRc8SLpc0ixJMyUNl3SopM9c2qeS6rl8wyQ9L+krSUskdXL550saGqH3\n",
       "i6SnJM115Wu69AmS2rr5mpKyJJUH+gLdXWR6gaQUSa9K+q+kbyWd7cr0lPSupPHAOEm1JX3hys2R\n",
       "dEKs697/0Se5/vqbE+DFcLUbtUjjvFs6MOzBz3emtewYvITn/Zem8c7zU/lu5hqOOf1wUqtVLFEd\n",
       "Y8eOJScnh969etPrul5c2fNKsrKymDhxQly2h+XjsOwNSzdZbb7hxrvpcOxJZGQcS/nyB1CjRq24\n",
       "NcO0F8Kx2e/HicHMtpjZZKDIt8tJ6u+u2mdJesKlpUka49qqmZI6uPTbXRswR9KtLq2BpEWShhM0\n",
       "4vUk9ZE01Wk+UAxzzwaGu/nhQLcC8mwEfgMOdBe1BwKr3LouNLPFxagHSLLgQdJRwN3ASWbWGvgL\n",
       "8Bww1MxaASOAZyKKVDOzY4HbgHeBx4GjgBaSWro8BwLfmFlzYCJwv0s3N+3EzH4D7gVGucj0TWfP\n",
       "eDM7BjgZeELSga5IBnCemZ0EXAKMNbMMoCUws0ROCPONoAnQlsSdg8/mneensmj66p3p63OCN2e2\n",
       "OOFQ6h1Rk0Ma1wCgdoMCe9b2SNbSLADq1k0PftPTXfrSkpq+ixB8HJa9YfohGW3+5ZeNnHtOe266\n",
       "8TwkccMNd8etGeq+Rjg2A34/jp1KEbcs3o5aVqgzJdUAupnZUa4d6ucWPQN87tqqDGC+uyDtCbQH\n",
       "OgDXSmrt8jcGBrm2qCnQ2Mzau7LtJHV09X0gqaBXjKaZWbabzwbSojOY2c/AAGA5sBpYb2afFuGT\n",
       "QklId3opcjLwb+cAzGydi+byI6zXCAIECDb2e25+LrDWzOYBSJoHNABmA3nAGxHlR+/BBrkpny7A\n",
       "WZLyu7UqAPVd/ePMbL1Lnwq86nov3jGzWQWJ93/s4Z3zJxzfkRNOOHEP5pQtuvZsTa36VRk3YhaN\n",
       "WgT7bmq1ikwbt4S5U5Zz1nXtOOu6dmzZ9CuS2Ja7PSH1Jttr1sOyN0w/JIPNlSql8MQTw1m2fAlD\n",
       "Bj9G3763MOL1Cey3X+KukxLth9KwOSxKe5+YOHECEycmZhxLAWx1F3exsh7IlfQK8L6bAE4CLgWw\n",
       "YIU2uh7n0Wa2FUDSaKAjwcXtMjOb6sp2AbpIyh/4kUIQXEwyszP2ZJCZmaTfOVHSYQQX3Q2ADcCb\n",
       "ki4xsxGxrnSyBQ/G7g13PoXdH9rmfvPYvdspj4LXXeyKMLezq2dmT33r55rZd7sJSccAOz9UYWaT\n",
       "XOR4JjBM0lNm9q9oobv+lqCrjr3EwelVqHZwCi9Nv35n2ikXt2Rb7nb+ctJQGrVIY8f2PG58qitH\n",
       "HVuPNT+sK1E9jRo2AmDlyhUArF61yqU3jHMNwiEse8P0QzLavP/++9Om7fG0aXs8Eyd8xJw537Bp\n",
       "0waqVj2oTNoL4dgcFnt7n8jM7ERmZqed//s91I+9jZntkNQe6AycD9zk5uH3bVN0GxbZ5kR/2OhR\n",
       "MxsSgynZkmqb2VpJdYCcAvK0A6aY2f9gZ/ByHEGvfUwkW/DwGTDGNbw/S6oOTCEY8PEawa2BYg32\n",
       "iGA/4AKC3oeLgUkufSmBo6cR7BD5bAQiHxP4GLgFuBlAUoaZzSBqp5FUH1hlZi+70a0ZwO+Ch6L4\n",
       "+JOxLFgwDwgOsn+9NpzjjzuBRo0Oi0UmVO0Jb80ja26wzzY4qhZX3NeJqWO/470h07jxqa58P3Mt\n",
       "R7SrS5uTG/HmP6fw27YdJbK3a9eu1KpVi8FDBpOSmsrQYUNp2LDhbieWkhCWj8OyNyzdZLT5m6lf\n",
       "MGHChxx1VBtyflzD/PkzqF37kLgb4TB9HJbNfj9OOIUOYJSUAqSY2UeSpgBL3KLxwPXAQEn7E/Qe\n",
       "TCK4eOxP0PZ0I+idiNb/GOgnaYSZbZaUDmwzsx+LsPFd4ArgMff7TgF5FgL3SqpEMBj0FIJe8WKv\n",
       "bz5lv18sAjObDzwMTJQ0E3iSoNG+UtIsguDh1sgihcxHshloL2kO0IlgQCRO+3pJ3wI1Isp/DjTL\n",
       "HzBJcH+rvKTZkuYCD0bUF1lnJ2Cm07sQGBjLugM8N2ggffvdjyTmzZvLX267ialTv45VJlTt5Qt/\n",
       "YtI7C5j0zgJmfbEUgNU/rOO7GWto2fFQ/vLcGXQ6/yjGDPovL98zvsT2VqhQgVEjR5GSksodd9xO\n",
       "WlptRo4cFffI8rB8HJa9Yekmo81VqlZj4cJZPPvsg4wZPZw2bY7loYdjuXArXXvDtNnvxyWiwDZC\n",
       "0lKCcQI9JS2X1DQqS2XgPdcGTSIYYwdBW3SSpNkEF6FHugvLYQQN9tfASxG3sHfWb2bjgNeBr1z5\n",
       "N4FUZ09hYx76A6dKWkxwi7+/y19X0gdOdxbwf86e2a7cEJfvHEkrCMZifCDpoyJ85T/JLWmTmcX3\n",
       "woEEIf9J7p34T3J7ovGf5N6F/yR3gP8k994jqXoeQmLfjp48Ho/H44mRfT54MLMqe9sGj8fj8XiS\n",
       "iX0+ePB4PB6PxxMbPnjweDwej8cTEz548Hg8Ho/HExM+ePB4PB6PxxMT+/yjmmUJSfbbtsS8rjnZ\n",
       "ObVi3z1nKgHjcuP/YqHnj8eUr5eHontch/qh6A5/9ZtQdK+46uhQdMPCP6q59/A9Dx6Px+PxeGLC\n",
       "Bw8ej8fj8XhiwgcPHo/H4/F4YsIHDx6Px+PxeGLCBw8ej8fj8XhiwgcPHo/H4/F4YsIHD0nG5CmT\n",
       "yWiTQWrlFNof054ZM2bsM7o3P30ab6/uw/jf7ufh/1y8M/2iv57AqKzb+HjzPYz47la63dC+zNic\n",
       "zLphaieb7sCBD9Ltz0fTKfMw7rrrmoRoQnj2VqlSkdPOPJJLLm/LZVe2o+vpTamcoC9mJtu2Ky6S\n",
       "dkiaETHVl1Rd0ueSNkl6tlQNihFn6zhJiyV9IqlaAXmOiFrHDZJuccv6SZolaaak8ZLqFVWfDx6S\n",
       "iNzcXLp3v5AtWzYzYMBT5ORk0+Oi7uTl5e0Tumbw2ag5bj54P0n9pjW55uHObN+2g0F3fEy58vtz\n",
       "88DTqFm3ZF9ZTxZfhK2bjDaH6QshOnc+a+d8IgjT3gNTygPw7bSVfLfoR+oeUpUTMhvFrZuM2y4G\n",
       "tphZRsS0HMgF7gHuLC0j5ChB0buAcWbWBBjv/u+GmS3KXz+gLbAFGOMWP25mrcysNfAOcH9Rle3T\n",
       "wYOkeyUtlDRJ0uuS7pB0jaSpLvp6S1Ill3eYpOclfSVpiaROkoZLmi9paIRmF0lTJE2X9G9JKS69\n",
       "v6R5LrJ7oiT2jh07lpycHHr36k2v63pxZc8rycrKYuLECXH5IVl0n7vtI956+qvd0nI3/8aO7Xn8\n",
       "tGoTMz5VrSCgAAAgAElEQVT7gXXZv7Atdzvbckv2sq1k8UXYusloc5i+uOXW+7jgwqvj1okkTHuz\n",
       "s3/ho/cXsGB+Nl9PWcavv26n2kGVyqzNYfoiHsxsi5lNBn4tKl9B53dJaZLGuLZkpqQOLv12SXPc\n",
       "dKtLayBpkaThwBygnqQ+ri2aJemBYph7NjDczQ8Huu0h/ynAEjNb4dZ1U8SyVOCnogrvs8GDpKOB\n",
       "c4GWwGlAO8CA0WbW3kVfC4D8M4YB1czsWOA24F3gceAooIWkVpJqAncDnc2sLTAduF1SdaCbmR1l\n",
       "Zq2AfiWxOWtpFgB166YHv+npLn1pSeSSUzcqIM9ZsYF/3vA+zY+vx7B5N9G4dW0G9H6PjT9vLTs2\n",
       "J6FumNrJpptPot/GG6a9lrfL1po1U6hQoRxr12wqokTxSNZtV0wqRXTnvx21rNCNL6kGBZ/fnwE+\n",
       "d21JBjBfUlugJ9Ae6ABcK6m1y98YGGRmzYGmQGMza+/KtpPU0dX3gaTaBZiSZmbZbj4bSNvD+vYA\n",
       "Xo9al4clLQeuAPoXVXifDR6A44F3zGybmf0CvAeIIBCYJGk2cAnQLKLMe+53LrDWzOZZcEaZBzQg\n",
       "2BmaAVMkzQAuB+oDG4BcSa9IOgcoWcsWRVivFk8m3Vr1qnLTP0/j+5lrueeckSyZlc2tz55R4tsW\n",
       "0SSTL8LUDVM72XTDIgx7q1aryCldj2DTxl/5avLShOv/wbbd1ohbFufFUG49BZ/fTwJeALCAjcAJ\n",
       "BBeoW81sMzAa6EgQnCwzs6mubBegi2tHpgNNCIILzOwMM1tblEGuXSoq4DkAOAt4M6rc3WZWHxgG\n",
       "/LOoOsoVtfAPjkGBNy+HAn82szmSrgA6RSzb5n7z2L0bK4/AlzsI7jldTBSS2gOdgfOBm9z87+jb\n",
       "98Gd85mZmWRm7qq+UcPgnuXKlSsAWL1qlUtvWPAaFpNk042kWYdDqJhSnkljFvDV+4s5rGVtrnzw\n",
       "JJp1OIQvRi8oMzYnm26Y2smmGxZh21utWiVOO+tItm/P46P355O79be4Nff2tps4cQITJ06Mq65E\n",
       "Y2Y7iji/R7cx0e2O2NXIb47K+6iZDYnBlGxJtc1sraQ6QE4ReU8DppvZj4Usfx34sKjK9uXgYTIw\n",
       "WNKjQHngTGAIUBlYK6k8cCmwoph6BnwNDJJ0mJktceMd6gKrgRQz+0jSFGBJYSL33Vf4GJWuXbtS\n",
       "q1YtBg8ZTEpqKkOHDaVhw4a7BRglIVl0O5x+OA2OCnri0upV5fSr2rBoWnCSOfXSVqzL2cwpF7fE\n",
       "DFYs/l+ZsDlZdZPR5jB98dVXn5H1w2IAcnJW88H7b9Cq9TEcckiDMmlvSsoBnH7WkVSoUI7ps1dS\n",
       "K60ytdLghyUlOy7Ctrm4upmZnXZL6/dQie4Al4RCBzC683xB5/fxwPXAQEn7AynAJGCYpP4EPf/d\n",
       "CNqZaP2PgX6SRpjZZknpwLYiGnsIbqVfATzmft8pIu9FwMio9TjczL5zf/8MFPm4yz5728LMphE4\n",
       "ezZBhDWH4PbCvcB/gS8JxjzsVqyQ+XzNnwjuZ42UNAuYAhxBEJC859ImEYyZiJkKFSowauQoUlJS\n",
       "ueOO20lLq83IkaMo2cDc5NO98PbjufaRzphBo5Zp3P7iWRzWqjbP3Pwh5crvxy3PnE658vvxzC0f\n",
       "kjW3qKC79GxOVt1ktDlMX4wa9TJDhjyBJJYsWciTT97N3Lnflll7K1epSMVK5UGi3TH16NS5MZkn\n",
       "N45bNxm3XQwU2M0vaSkwAOgpabmkplFZCju/3wqc5G6BTwOONLMZBLcEphJcbL5kZrOi6zezcQRX\n",
       "/1+58m8SDGIsasxDf+BUSYuBk91/JNWV9EHE+qQQDJYcHVX+UTeIcyZBj/sdBfljp06y3RdMJJJS\n",
       "XFR3IDARuNbMZu5Fe/wnuR3+k9ye0sR/kjvAf5LbU1z25dsWAEMkNQMqAsP2ZuDg8Xg8Hk+ysE8H\n",
       "D2Z2yd62wePxeDyeZGOfHfPg8Xg8Ho+nZPjgwePxeDweT0z44MHj8Xg8Hk9M+ODB4/F4PB5PTOzT\n",
       "j2qWNSTZnDlrEq7b9IiDE66ZrJx20COh6P7z62tD0QVYvKio98KUPc4+u9meM3n2ORaGsB+3aFHH\n",
       "P6q5l/A9Dx6Px+PxeGLCBw8ej8fj8XhiwgcPHo/H4/F4YsIHDx6Px+PxeGLCBw8ej8fj8XhiwgcP\n",
       "Ho/H4/F4YsIHD4CkBpLmJECnp6Rn3Xw3SUdGLJsgqW08+o8+eg+ZmS1o2bIuN910ebzm7sbkKZPJ\n",
       "aJNBauUU2h/TnhkzivyU+17XTaR2+mHVeeLDy3hr2R28s/qv9P/PxdRuUK3Q9JIQ5rZbvWYZ991/\n",
       "NT2vPJFLLzuWvn17sTZ7ZZnVheTb35JNN0ztsHTDPEaKg6QdkmZETPUlVZf0uaRN+ef2soqzdZyk\n",
       "xZI+kVTgyUpSNUlvSVogab6kDi69vaSpbt2/kVTkJ1Z98JBYIl+a0Q1oVsiyEiHB6ad3c/OJe7Q5\n",
       "NzeX7t0vZMuWzQwY8BQ5Odn0uKg7eXl5ZVI30do16qQCMPyhCXzy2kwyTmrE7YPOpEadVKTfp5eE\n",
       "sLYdwLqfg+fne3S/gZNO+jOz53zNCy/cX2Z1k21/SzbdZLU5zGOkmGwxs4yIaTmQC9wD3FlaRshR\n",
       "gqJ3AePMrAkw3v0viIHAh2Z2JNASWODSHwfuNbMM4D73v1B88LCL/SUNkTRX0seSKko6TNJHkqZJ\n",
       "+kLSEQCSzpL0taRvXaRXK1JI0rHAWcATLk8jt+gCSf+VtEjSCbEaeNddD3HZZdfFvaLRjB07lpyc\n",
       "HHr36k2v63pxZc8rycrKYuLECWVSN9Ha875eSZ/T/8V7L03n+b9+wi/rtnJo04OZ+9UK7jzt9+kl\n",
       "IaxtB3DEEa3o++ArdO3ag6uvuouUlCqsXPlDmdVNtv0t2XST1eYwj5GSYmZbzGwy8GtR+ST1lzRP\n",
       "0ixJT7i0NEljJM10U/4V/u2S5rjpVpfWwLULw4E5QD1JfVxPwCxJDxTD3LOB4W5+OMEFbLSdVYGO\n",
       "ZvaqW7/tZrbBLV4DVHXz1YBVRVXmg4ddHA48Z2bNgfXAecBg4GYzawf0AZ53eSeZWQczawO8AfzV\n",
       "pQvAzL4C3gXuNLM2ZpZ/xt3fzI4B/gKU6BIujBeCZi3NAqBu3fTgNz3dpS8tk7qJ1t6xfddVU5OM\n",
       "OqQeVIk5k5eTt8MKTC8pYb3MtVy58jvnv/9+Hps3b+TII+O6QxaqbrLtb8mmG6Z2mDZDeMdIMakU\n",
       "ccvi7ahlhVomqQbQzcyOMrNWQD+36BngczNrDWQA892t655Ae6ADcK2k1i5/Y2CQa4OaAo3NrL0r\n",
       "205SR1ffB5JqF2BKmpllu/lsIK2APA2BHyUNdRe2L0k60C27CxggaTnwBPD3wtYZoFxRC/cxssxs\n",
       "tpufDjQAjgPejOhBOsD91pP0b6C2Syvsciy662m0+/3W6ZdJwnpleZivQk+Edr0mNej77+6sXbqO\n",
       "5+4cu8f0ssbKVVn0f+wWatVK55qrizzuy4RuPsm2vyWbbpjaf7DPG2x1Xfaxsh7IlfQK8L6bAE4C\n",
       "LgWwwFEbXY/zaDPbCiBpNNCR4GJzmZlNdWW7AF0k5Q8oSSEILiaZ2Rl7MsjMTFJBG6cc0Aa4ycy+\n",
       "kfQ0QdBwH/AKcIuZjZF0AfAqcGphdfjgYReR3VI7CKK29YXsTM8CT5rZ+5IygQcK0YzeePl17KAQ\n",
       "3z///JM7548++jiOPvq4PVseJ40aBndVVq5cAcDqVatcesMyqRuGdv2mNXnig8v4dctv9DnjNdbn\n",
       "bC4yvayxYsUSHnjwGg44oCIPPPAy1arVKLO6yba/JZtumNph2lwcvvlmCt98M6VU6iouZrZDUnug\n",
       "M3A+cJObh99fQFpUmtjVTkSfXB41syExmJItqbaZrZVUB8gpIM9KYKWZfeP+vw38zc23N7NT3Pxb\n",
       "wMtFVeaDh8LZCPwg6Xwze8sNYGnheieqAKtdvp6FlN/k8sXEDTcUPi7niy8+5bvvFgKwZs0qRo9+\n",
       "nXbtjqV+/fgO3K5du1KrVi0GDxlMSmoqQ4cNpWHDhmRmdiqTuonWPji9Ck9+eBmVD6rEsOf+S7Nj\n",
       "DqHZMYcw76sVBaZPeGtezHWEte0AfvppLfc/cDW//LKRi3pcxuJFs1i8aBYnnHBamdRNtv0t2XST\n",
       "1ebiHCPRF1QvvDAg7nqLSaEDGCWlAClm9pGkKcASt2g8cD0wUNL+BL0Hk4BhkvoTDBvoRtA7Ea3/\n",
       "MdBP0ggz2ywpHdhmZkV9Xexd4ArgMff7TnQGF1iskNTEzBYTBDn5J7TvJWWa2UTgZGBxEXX5MQ8R\n",
       "RPcSGMFGvVrSTGAuwYAUCHoa3pQ0DfgxoqxFzI8C+kiaHjFgsqj69siwYS8wcOAjSGLx4vk8+GAf\n",
       "Zs78Zs8F90CFChUYNXIUKSmp3HHH7aSl1WbkyFFxj3gOSzfR2nUaHUTVmiloP3HVgyfz91fP4a5X\n",
       "ulGnYbUC00tCWNsOYO3aFWzcuA6zPEa8PpCnB97FwGfiv70Qlm6y7W/JppusNod5jBSTAs/JkpYC\n",
       "A4CekpZLahqVpTLwnqRZBMHBbS79VuAkSbOBacCRZjYDGAZMBb4GXjKzWdH1m9k44HXgK1f+TSDV\n",
       "2VPYmIf+wKmSFhM0/v1d/rqSPojIdzMwwtnbEsj/1PB1wOOuvXvI/S8U/0nuMoT8J7lDx3+SO3z8\n",
       "J7k9BeE/yf3Hwvc8eDwej8fjiQkfPHg8Ho/H44kJHzx4PB6Px+OJCR88eDwej8fjiQkfPHg8Ho/H\n",
       "44kJHzx4PB6Px+OJCf+SqDJGGI9VvvXm7D1nKgGHN62150xljI/W/SMU3bAeAYXwbE42Zs1ZG5p2\n",
       "qxYFPTbvSSS/btuxt03wJBDf8+DxeDwejycmfPDg8Xg8Ho8nJnzw4PF4PB6PJyZ88ODxeDwejycm\n",
       "fPDg8Xg8Ho8nJnzw4PF4PB6PJyZ88BCFpAaS5uxtOwpj8pTJZLTJILVyCu2Pac+MGTMSortm7XL6\n",
       "PXQd1/Y6mauu7sgjj95Ads7KuHWfePxeupzamqPb1eO2v/SM39CQdSFxPk4/rDpPfHgZby27g3dW\n",
       "/5X+/7mY2g2qAXBUh0MY/PV1fPDT3xk06RoOa1nyRwXD2ifC1A5DNxn2idLSDVM7LN0wt19xkLRD\n",
       "0oyIqb6k6pI+l7RJ0rOlblQMOFvHSVos6RNJ1QrIc0TUOm6QdItb9oCklRHLuhZVnw8ekojc3Fy6\n",
       "d7+QLVs2M2DAU+TkZNPjou7k5eXFrb1uXfC53AvO701m5tnMnfdfhrzUN25dSfzpT3/O/xO3Xti6\n",
       "ifRxjTqpAAx/aAKfvDaTjJMacfugMyl/wP7cN+ICKh5Ynhf+9jEH1UrhvtfOK9FqhLlPhKUdlm4y\n",
       "7BOloZusNoe1/WJgi5llREzLgVzgHuDO0jJCjhIUvQsYZ2ZNgPHu/26Y2aL89QPaAluAMfmLgaci\n",
       "1n9sUZX54KFg9pc0RNJcSR9LqiiptaSvJc2SNDo/qpM0QdJTkr6RtEDS0ZLGuOivX76gpEsl/ddF\n",
       "dC9Kitn3Y8eOJScnh969etPrul5c2fNKsrKymDhxQtwr3OTwltx7zxC6nHohV1zeh5SUKqxalRW3\n",
       "7p19+nLxJdfGrVNauon08byvV9Ln9H/x3kvTef6vn/DLuq0c2vRgju7SmGoHp/DeS9N5/5VvGft/\n",
       "M6nd4CBandhgr9pbWtph6SbDPlEauslqc1jbLx7MbIuZTQZ+LSqfpP6S5rn24QmXlubagplu6uDS\n",
       "b5c0x023urQGkhZJGg7MAepJ6iNpqtN8oBjmng0Md/PDgW57yH8KsMTMVkSuSjHqAXzwUBiHA8+Z\n",
       "WXNgPXAewcboY2atCDbu/S6vAb+a2dHAC8B/gN5Ac6CnpIMkHQlcCBznIr484JJYjcpaGjTmdeum\n",
       "B7/p6S59aUnWcTfKlSu/c37JD/PZvHkjTZu2iVsXwMwSolMauon08Y7tu67GmmTUIfWgSsyZvJza\n",
       "hwa9iT+t2RT8rt4IsDN9b9lbWtph2lzW94nS0A1TO0ybIbxzRTGpFNFl/3bUskINk1QD6GZmR7n2\n",
       "If+i8RngczNrDWQA8yW1BXoC7YEOwLWSWrv8jYFBrt1pCjQ2s/aubDtJHV19H0gq6D5nmpllu/ls\n",
       "IG0P69sDeD0q7WYXrLxS0G2PSHzwUDBZZpb/TufpwGFANTOb5NKGAydG5H/X/c4F5ppZtpltA34A\n",
       "6gOdCbqIpkmaAZwMNIzXyDAOtFWrs3hywF84+OB0el7x14TrJxuJ8HG9JjXo++/urF26jufuHPu7\n",
       "HtmS9VAWTJgn32QKAsMkGf2QjDbvBbZGdNmfF0O59UCua3DPAba69JMILiixgI3ACcBoM9tqZpuB\n",
       "0UBHguBkmZlNdWW7AF1cezEdaEIQXGBmZ5hZke9qt2DDFBXwHACcBbwZkfwCQbvUGlgDDCiqDv9t\n",
       "i4KJ7KLaAURHYNFn+/z8eVFl89jl4+FmtsePFPTt++DO+czMTDIzO+3836hhIwBWrgx6mVavWuXS\n",
       "445DnO4PPPRILyocUJF7/vEi1arWSIhuMpFoH9dvWpMnPriMX7f8Rp8zXmN9zmbWLF0PwMHpVQCo\n",
       "WbcyAGuWrtvr9paGdtj7caJJRj8ko83FYdq0KUyf/lWp1FVczGyHpPYEF4nnAze5efh9W2FRaWJX\n",
       "I785Ku+jZjYkBlOyJdU2s7WS6gA5ReQ9DZhuZj9GrMfO/JJeBt4rqjIfPBSPDcDPkk4wsy+By4AJ\n",
       "xSxrBINX/iPpn2b2o6TqQKobkLMb9913/+8E8unatSu1atVi8JDBpKSmMnTYUBo2bLhbgFFS/ve/\n",
       "tfR7+Do2b97I6Rdcwnffz+G77+dw3LF/ikv3y0nj+X7JQgCy167inXdG0rZtB+rVi+9kE5ZuIn18\n",
       "cHoVnvzwMiofVIlhz/2XZsccwpHt05ny3iLW/7iZs65py9bN2+h6eWvWLl3HrC+W7VV7S0s7LN1k\n",
       "2CdKQzdZbS7O9mvX7jjatTtu5/+Xhvwz7nqLSaHdg5JSgBQz+0jSFGCJWzQeuB4YKGl/IAWYBAyT\n",
       "1J+g578bcGkB+h8D/SSNMLPNktKBbZGNfQG8C1wBPOZ+3yki70XAyKj1qGNma9zfcwhuzxeKv21R\n",
       "MNHdPUZwn+oJSbOAlkBBjyIU2FVkZgsIRux+4sp/AsT8bF6FChUYNXIUKSmp3HHH7aSl1WbkyFEJ\n",
       "6fbOzl7Jpk3ryMvLY9Qbz/LcoH/w3KC749b9179eZNBz/ZHEd98t4JGH/8asWdPLrG4ifVyn0UFU\n",
       "rZmC9hNXPXgyf3/1HP7+6jn8tm0H/S57i62bt3H9Y134OXsz/S6LvsVa+vaWlnZYusmwT5SGbrLa\n",
       "HNb2i4ECu/klLSXowu8pabmkplFZKgPvuXP7JOA2l34rcJKk2cA04EgzmwEMA6YCXwMvmdms6PrN\n",
       "bBzBeISvXPk3gVRnT2FjHvoDp0paTHBrvL/LX1fSBxHrk0IwWHJ0VPnHJM1265EZsR4Foj/YPauk\n",
       "RpL9tm17wnX9J7l3Edanl/0nucPHf5I7uQlj+7Vrewhmtlee69zX8T0PHo/H4/F4YsIHDx6Px+Px\n",
       "eGLCBw8ej8fj8XhiwgcPHo/H4/F4YsIHDx6Px+PxeGLCBw8ej8fj8XhiwgcPHo/H4/F4YsK/YbKM\n",
       "8f77CxKuef4FLROuGTZh+AHCe54/zHcx/Lnu46Ho/md1cn275LNPFoem7d/zED4rlsX++nVP2cX3\n",
       "PHg8Ho/H44kJHzx4PB6Px+OJCR88eDwej8fjiQkfPHg8Ho/H44kJHzx4PB6Px+OJCR88eDwej8fj\n",
       "iYnQggdJDSTNKSC9raSBhZRZKql6WDZF1TVM0nkFpF8hqU5p2BArL7/8KD2vzOTc81ry8CM3JVR7\n",
       "8pTJZLTJILVyCu2Pac+MGTPKtO6+7Itej5zKa/Nu4b3su7jvtfN3ph/ZPp3nJlzNmBV9GPhpTxq1\n",
       "SCszNpeGbrWDKtH9otbceMvx3HJbRy7o3oqqVSsmwNrk8kPY2sl4TBcHSTskzYiY6kuqLulzSZsk\n",
       "PVvqRsWAs3WcpMWSPpFUrZB81SS9JWmBpPmSjnHpD0haGbH+XYuqr9R7HsxsupndWtji0jSlkPp6\n",
       "AnVL0Y7iI9HxhNODWRL3Cfvc3Fy6d7+QLVs2M2DAU+TkZNPjou7k5eWVSV1gn/aFmTFxzHz3J/gp\n",
       "X2F/7h56LhUPLM+Qez6l2sEp/OOVc1AcrkkGX0SSmloBgMmTspg7Zw2HNjiIP53eNC7NMO0N8/hI\n",
       "RpvDOqZjYIuZZURMy4Fc4B7gztIyQo4SFL0LGGdmTYDx7n9BDAQ+NLMjgZbAQpduwFMR6z+2qMpK\n",
       "JXiQ1EjSt67XoZOk91x6DRchzZX0EgR7jKQUSR9ImilpjqQLC9C8VtJUl+ctSZVc+jBJAyVNlrQk\n",
       "v3fBbY/nJC2UNA6olV9fhOb5QDtghLO3orN5gqRpksZKqu3yHibpI5f+haQj9lB/HZdvhlunE2L1\n",
       "4zVX38VZZ10Wa7E9MnbsWHJycujdqze9ruvFlT2vJCsri4kTJ5RJXdi3fTHk7k9558Wpu6W163wY\n",
       "VWum8MHQb/lo+Aw+GTGbtEOr0eL4Q8uEzaWhu3rVBt4YOZOZM1bz2affk5u7nZo1DoxLM0x7wzw+\n",
       "ktHmsI7peDCzLWY2Gfi1qHyS+kuaJ2mWpCdcWpqkMa6Nmimpg0u/3bUBcyTd6tIaSFokaTgwB6gn\n",
       "qY9r42ZJeqAY5p4NDHfzw4FuBdhZFehoZq+69dtuZhsisxSjHqAUggfXqL4FXGFm06MW3w98YWbN\n",
       "gTFAfZfeFVhlZq3NrAVQUAT0tpm1N7PWwALg6ohltc3seOBMoL9LOwdoAhwJXA4cR1TPg5m9BUwD\n",
       "LjazNsAO4FngPDNrBwwFHnbZhwA3u/Q+wPN7qP9iYKyZZRBEezMLdNgeSXznTNbSLADq1k0PftPT\n",
       "XfrSMqm7i33XF9EXJmn1qwLwvzWbdvutfWjVEukHtiWHL/LJy9u1P6TVrkzFiuVYsWJDESWKR7L5\n",
       "IUztZDymY6BSRJf921HLCjVMUg2gm5kdZWatgH5u0TPA566NygDmS2pL0LvdHugAXCuptcvfGBjk\n",
       "2sOmQGMza+/KtpPU0dX3Qf5FbBRpZpbt5rOBgu5bNgR+lDTUXSC/JCkywr7ZBSuvFHbbI59CX0+9\n",
       "h/s7Zma3FCXsqAW8A5xjZgsLWN6RoFHHzD6UlP/+0tnAk5L6A++b2ZcFlG0h6SGgKpDKrgDDXJ2Y\n",
       "2QJJ+Q48EXjdzAxYI+mzIuzOPzMfARwFfOpO1vsDqyWlEAQfb0acxA/YQ/1TgVcllQfeMbNZBVU8\n",
       "atSuGKR586Np3vzoIswMh8BFyaMbJknrixB6fZPFF9WrH8i557Vgw/pcxo9L/Cutk8UPpaFd2sf0\n",
       "3LnfMHfuN2HJb3UXd7GyHsiV9ArwvpsATgIuhaDBBDa6HufRZrYVQNJognbwXWCZmeV3KXYBukjK\n",
       "H1CSQhBcTDKzM/ZkkJmZpII2TjmgDXCTmX0j6WmC2xv3AS8AfV2+fsAAdr8o/51QYUxnV7SVfyoy\n",
       "N1/cPWY9sIzAOQUFD5HaOzGz7yRlAGcAD0kab2b9orINA842szmSrgA6RSzbVoC+UfxTauR6zzOz\n",
       "43YzWKoCrCtiR/td/WY2yUWOZwLDJD1lZv+KLtijxw3FNDFxNGrYCICVK1cAsHrVKpfesEzqhkmy\n",
       "+iJ7eXCFXTO9SvBbpzIAa5euL7FmMvqiRo0D6X5Ra37bnscbI2ewZctvcWsmox+S0ebiEH1B9ca/\n",
       "XyiVeovCzHZIag90Bs4HbnLz8Ps2J7odimxPN0flfdTMhsRgSrak2ma2VsGg/5wC8qwEVppZfgT2\n",
       "Fm5shJntzC/pZeC9oiorNHgws2GR/yWlmFn0yu2JbcC5wMeSfjGzkVHLvyDozn9Y0mnAQa6uOgSN\n",
       "8whJGyg4+kkF1ror+UuBFXuw5Qugl7unlEYQFY4oIN8moIqbXwQcLKmDmX3t6jrczOZLypJ0vpm9\n",
       "paD7oYWZzS6sckn1CW7FvCypAkFX1O+Ch6KYNu0Lli//DoAff1rDp5+O5qij2lGnTv09lCyarl27\n",
       "UqtWLQYPGUxKaipDhw2lYcOGZGZ2KpO6sG/74uhTD+PQpgcDcPAhVehySUsWfbuGDT9t5oyeGeRu\n",
       "3sapl7Qie9l6Zk9eXiZsLg3dypUr0P3iDCpWLMe0L7Kom16VuumwcEFB59C9b2+Yx0cy2hzWMZ0g\n",
       "Cr3wdD3RKWb2kaQpwBK3aDxwPTBQ0v4EvQeTCC4e+xMMG+hG0H5F638M9JM0wsw2S0oHtpnZj0XY\n",
       "+C5wBfCY+30nOoMLLFZIamJmi4FTgHluPeqY2RqX9RyCsReFsscxD5KOkzQf13MgqbWk5/dQLMJW\n",
       "20JwtX2bpDPZ/SmHB4ETJc11xi5z6S2A/7oum3vZdQ8pknuB/wJfEox52K3e6HkzGwN8B8wnGEwy\n",
       "pRCbhwEvSvqWwD/nA49JmgnMAI51+S4BrnbpcwkGqxRaP0GwMtPpXkgw4jUm/vPuMF4bMRBJLFu2\n",
       "mBdefJCFC0s4dCKCChUqMGrkKFJSUrnjjttJS6vNyJGjfndfvazowr7ti3NvOIYr7umEmdGgWS1u\n",
       "GnAah7VI49Grx7B1829c99AprM/5hUevGVNmbC4N3WoHVeLAA8sjiRM7NeLMs5txxlnN4tIM094w\n",
       "j49ktDmsYzoGCuxRl7SUoAu/p6TlkqIf4akMvCdpFkFwcJtLvxU4Sf/P3pmHR1Gkf/zzBblMwi1X\n",
       "BAGRQ0EMaEAXBDxYFOXwABRZQRHQVUEQj58Xiqu4iq7HroAXeCCrLt6KIIvIAoJAuC/FhCMIwSPc\n",
       "ESHv74/uQAy5JjMNGajP88wz3dXV33q7qmfq7arqKmkp3li6JmaWhFfHzAe+AV7K1oV9MH0zmwZM\n",
       "BAVFJGAAACAASURBVOb657+L98Cc35iHUcDFktYCF/j7SKol6dNs8W7DeylgCd74u8f88CckLfXD\n",
       "22W7jlxRQX1WkubjVaAfZjXTS1phZmfke6IjZCTZ+5PzdfaKxGWXNYm4ZtAEtSR3NOaFW5Lb45nR\n",
       "Xwemfcew8wPTdngE8ZvufkUzzOyovNd5vFOoty38912zsz8AWxwOh8PhcEQB+Q2YzGKDpD8BSCoN\n",
       "3M7h3QQOh8PhcDiOEwrT8nAz8FcgHkjFG+j31yCNcjgcDofDUXwpsOXBH9157RGwxeFwOBwORxRQ\n",
       "mLctTpX0saSfJG2T9KGk+kfCOIfD4XA4HMWPwnRbTATeAWriLRj1LpBzvgaHw+FwOBzHCYV5VXOp\n",
       "mZ2ZI2yJP4e3I4JIst/3Rf5Flh/9dQ4izfz5RZ+AqCASE4OZGKamP/OiAy6v8UQguuOSjvwsqeES\n",
       "1L3ctWt0vdEe1H8FQPL6XwuOFCLtzq/vXtU8SuS3tkVlvFmvPpd0L4daG3oCnx8B2xwOh8PhcBRD\n",
       "8hswuYg/zrg1wP/Omos7r7XCHQ6Hw+FwHMPkt7ZF3SNoh8PhcDgcjiihMJNEIakpcDpQNivMzF4P\n",
       "yiiHw+FwOBzFlwKdB0kj8BbJOAP4FLgEbzEq5zw4HA6Hw3EcUphXNa/CW7bzRzPrBzQHKgZqlcPh\n",
       "cDgcjmJLYZyHvWZ2ANgvqQKQBtQO1ixHXsyeM5uEFgnExsWQ2CqRpKSkiOg++NDdtGjZkFPqVqbf\n",
       "Db0iopnFPff2ps9fzqP3da24c3gPkpJmh60ZpL1B5XFx161VvxKjPujNpLVD+E/KMP72Xi9qnOI9\n",
       "J3S89kxeXXAz728czsh3elK5RmyR7Q2q7KLtHobg7omgtIPK400bkxk8+Fq6XN6SSzqdybChf2Hz\n",
       "5uBeBc8NSQckJWX71JFUWdIMSTslPX9EDQoR39ZpktZKmirpsId8SY1yXON2Sbf7x66WtMLPhxYF\n",
       "pVcY5+FbSZWAl/DWJE8C5oR4XY4IkJGRQc+ePdizZzejRz9NWtpWel3Tk8zMzLC1JdGly5UHtyNJ\n",
       "40ZnceMN93DVlQPYuHEdL730aNiaQdkbVB5Hg26VGt4cGG+M+pqpE5dyVrt6DH72Uk47qwaDn+3M\n",
       "ttQdvPrwfznzT6dw21OdimxzUGUXbfdwkL/noLSDyuOffk4DoN8NQ7jkkqtYuHA2f3/i3ojpF5I9\n",
       "ZpaQ7bMByADuB+48UkbIpwin3gNMM7OGwHRyeSPSzNZkXR/QEtgDvO8fXgZ0B74uTGIFOg9mdouZ\n",
       "/WpmY4COwPV+98UxjaS6klZJGidpuaQvJJX1p+v+XNICSV/7nlxJST/451X0Pbc2/v7X/jntsnl7\n",
       "iySF/Og2ZcoU0tLSGDRwEAMHDKRf334kJyczc+ZXYV/vwyNG0f/Gm8PWyY2+fYfTokVbmjZNpNQJ\n",
       "pahUuVrYmkHZG1QeR4PuyvmbuKfbW3z66iLG/t80dqXvpU7DqpzR2mto/GxCEh+/vJB1y7ZwTscG\n",
       "xFYoW4Bi7gRVdtF2Dwf5ew5KO6g8btq0Bc8+O5Hu3ftw++AHiYurwPr130U8nVAxsz1mNhv4Lb94\n",
       "kkb5T+1LJD3ph1WX9L6kxf6ntR8+VNIy/zPYD6sraY2kCXiVeG1JwyXN9zVHFMLcLsAEf3sC0K2A\n",
       "+BcB68xso3+tq81sbSHSAfKfJKolf5znIfuxFma2qLCJRDENgJ5mNkDSv4ErgX7AIDP7XlIr4F9m\n",
       "dqFf8KcD9YGFwPmSvgVONrN1kp4BbjGzuZJOpICbMTeSU5IBqFUr3vuOj/fDU+gQ7pUCBUw2WmR2\n",
       "797Bjf09C8uUKcf11w+LiG4Q9gaVx9Gge2D/oafS086qQWzFcvzvo9Vs/3kPAE3Prc26ZVupVb8y\n",
       "ANXrVGDXsowi2R3UvRZN93CQv+cgtYPI4xNOKHVwe/XqpezcuZ127S+JfEL5U05SVt/OD2Z2ZbZj\n",
       "eV61pCpANzNr7O+X9w89B8wws+5+S0KcX6/2BRLxHt7nSZoJpOPVN33MbL6kjkADM0uUVAL4SFJb\n",
       "M5sl6VPgRjPbksOU6ma21d/eClQv4Hp74S0/USTye9tiNPlkGESkviruJJvZUn97IVAXOA94N1ur\n",
       "Umn/exZwPlAPeBy4CZgJfOsfnw08I+ktYLKZpeaW4COPPHxwu127drRr1z5P4wqaWry4ULZsDA88\n",
       "MJbUTT/wxpv/4Jln7uafL3xKiRKF6TU7ugSVx8VZ9+TTqvDQW1ezdX06L94zlV3pe7n0+hZc2tf7\n",
       "7N31G5LY91vkp1IvrhyJezjI33O0/FesX7+O/7t3ADVr1mbw4IcOO56U9A2Lk74JKvm9fnN+qKQD\n",
       "GZJeAT7xP+DVkdcBmFcAO/wW6clmthdA0mSgLfARsN7M5vvndgQ6ZnNmYvCci1lm1rkgg8zMJOXn\n",
       "8JQGLgfuDulKs5HfJFHtiyp6DJG9deAAnieXnscN9jVwC94CYg8Cw4H2fjhm9oSkT4DOwGxJfzaz\n",
       "NTlFHnzw8B9MFvXreYuZbtq0EYDNqal+eL2QLupIU7JkSc5s1oozm7Vi7txprFq9iN27dxAXV/xe\n",
       "2gkqj6NFt06jqjz+/rX8tvd37un2FunbdgMw/LI3qNvkJDIzjYGPXczp58SzJSU9LNujiSDu4SB/\n",
       "z9H4X5GS8h13DOlNmTLleOYfb1G58kmHxUlIaE1CQuuD++PHP3ckTcwVMzsgKRG4EO/txFv9bfBm\n",
       "ZP5D9BxhWTM2A+zOEfdxMxsXgilbJdUwsy2SauK93JAXlwALzWxbCPp/oFCTRDkOsgP4QdJVZvae\n",
       "3xR1ppktAeYDbwLfm9lvkpYAA/GcBSSdamYrgBWSzgEaAYc5D/nRqVMnqlWrxthxY4mJjeW18a9R\n",
       "r169fFsnCsv06V+wZu0qADZv3sSkSW/QuvWfqFs3vNXXFy+ezZw5U2nUqDk//byVtWuXcNJJtcJ2\n",
       "HIKyN6g8jgbdqrXiGPVBb+IqleX1x+bT5JyTaXIOfP3BSgb87WLWLdtCw4RanHV+XSb/cx6/7ztQ\n",
       "JJuDKrtou4eD/D0HpR1UHqdt3cyQwdeyY8d2+ve/gRUrFrFixSIuvPDysHQjSJ4DGCXFADFm9rmk\n",
       "OcA6/9B04GbgWUkl8VoPZgHjJY3C67bohtc6kVP/C2CkpLfMbLekeGBfAZX9R8D1wBP+9wf5xL2G\n",
       "/FfHLnDAZvFvNz665Gz2MbyCvlHSYmA5XtMPZrYP2ABktal9DcSa2TJ/f7A/QGYJsI8iLC5WpkwZ\n",
       "Jr09iZiYWIYNG0r16jV4++1JERn1PG7cCzzxxCNIYtWqFdxz7xAWLJxf8IkFEBtXke+/X84rrz7B\n",
       "559NpGmzVtx7T/hPC0HZG1QeR4NuzXqVqFD1RFRC9H2gA3eN68rwsV0wg2bn1ubWJztxftcmfPTS\n",
       "AsY/+lWRbQ6q7KLtHg7y9xyUdlB5nLp5A+npv2CWybhxTzLykSE8OvKOsHVDJK8xfil43fh9JW2Q\n",
       "1DhHlDjgY/+/fRaQZfhgoIOkpXhvKjYxsyRgPN7D5jfAS/7D5x/SN7NpeOMR5vrnvwvE+vZ8KqlG\n",
       "LqaOAi6WtBa4wN9HUi1/nETW9cTgDZacnOM6u0vaCLQGPpWUbx1V4JLcjiOH3JLcB3FLcgePW5L7\n",
       "EG5Jbg+3JLejsBTY8iCphKQ+kh709+v4/TsOh8PhcDiOQwrTbfEv4FzgWn9/lx/mcDgcDofjOKQw\n",
       "AyZbmVlC1isjZvaLpFIFneRwOBwOh+PYpDAtD/v8kaIASDoJCH/+VIfD4XA4HFFJYZyH5/Hmvq4m\n",
       "6TG8yY4eD9Qqh8PhcDgcxZYCuy3M7E1JCzk06UVXM1sVrFkOh8PhcDiKKwU6D5Lq4M189bEfZJLq\n",
       "+CuOOSLM5s07Iq5Zq1b5giMVgXPOCW5l9rlzUgLRbX3uKYHoBklQ5ffxliLPTJsvVzV4JhDdIa9f\n",
       "EYguQJWTir7E+NHgf3PWB6Lb5rzgfh9TPnXPnMcShRkw+RmHJq8oi7d2wxogul5gdjgcDofDEREK\n",
       "023RNPu+pBbAXwOzyOFwOBwOR7Em5Omp/aW4WwVgi8PhcDgcjiigMGMesi9cXwJoAeS6nLTD4XA4\n",
       "HI5jn8KMecg+kmg/3lrl/wnGHIfD4XA4HMWdfJ0Hf3Ko8mY2LL94DofD4XA4jh/yHPMg6QQzOwD8\n",
       "SZFYI/YYQlI7Sedm2x8oqU/Q6T404h5ant2IuvWqcMON10RUe/ac2SS0SCA2LobEVokkJSVFRDdI\n",
       "m++7vw99b2jDX/qey9339GLx4tlhawZlbzSWXSS1a9atyMhJPXg96RYmLr+NEW9cRfXaFQD4+we9\n",
       "mbj8NiatGszTn/UhoV3dIqWxaVMydwy5lq5dzqbzpc0Zfuf1bN4cmTfKg9IOquyCzIsg77eSJcXV\n",
       "15xF/0GtOa9N3YjpFgZJByQlZfvUkVRZ0gxJOyU9f0QNChHf1mmS1kqaKqliHvEqSnpP0ipJKyW1\n",
       "8sP/ne3ak7OWpMiL/AZMZi3Svhj40F9Z80r/E9wL10VAPkU8t2TBsQ6jA3Be1o6ZjTWzN4qSfigI\n",
       "6HK5l/WR9OcyMjLo2bMHe/bsZvTop0lL20qva3qSmRn+LORB2QzQqFFz+l1/F1d0v4mNm9bx8quP\n",
       "ha0ZlL3RWHaR1K5c3ev9fPvpOUx/dzlntjmFv/79zwCsWpjKSw/9l3eem0udhlUZ9LeLi2TvTz+l\n",
       "AdDvhiF0uuRKFi6czVNP3lskrSOhHWTZBZUXQdoMkHD2ycTElAbArIDIkWePmSVk+2wAMoD7gTuP\n",
       "lBFh1Gf3ANPMrCEw3d/PjWeBz8ysCXAmsBrAzHpmXTve0IR8hyfk5zxkGV8W+Bm4ALjM/1xeuGsJ\n",
       "Dkl1Ja2RNAFYBjwgab6kJZJGZIv3Fz9ssR8XSeMljZH0DfCEpFMlfS5pgaSvJTXy410u6RtJi3yP\n",
       "rpqkusBA4A7fQ2sjaUTWwFJJZ/nnLJE0Ocv7k/SVpFGS5vl2twn1mkeMGMWNN94SXsblwpQpU0hL\n",
       "S2PQwEEMHDCQfn37kZyczMyZX4WtHZTNAH/pcycJCW1pekYiJ5xQikqVTgpbMyh7o7HsIqm9euFm\n",
       "Huj1Dp+/sZhXHp7Bru0Z1G5QBYDXRn7Fgv/+wLI5G/h93wF+2bqrSPY2bdqCZ/4xkW7druO22x4k\n",
       "Lq4CKSnfF0nrSGgHWXZB5UWQNleufCLNmtVk4bcbw9aKFGa2x8xmA7/lF8//b1/h/+8/6YdVl/S+\n",
       "X/csltTaDx8qaZn/GeyH5azPaksanludlg9dgAn+9gSgWy52VgDamtmr/vXtN7PtOeII6AG8nV9i\n",
       "+Y15OEnSUP9CiisNgD5ABeAqM0uUVAKvpaQt8AtwH3CuvxpoVjOOAbX8cJM0HRhoZt/7TTj/wpuO\n",
       "e5aZZRV4f+AuM7tT0hhgp5k97R+7kEMTab0O/NXMZkl6GHgIuMM/XtLMWkm6xA8P+RHLAnDHk1OS\n",
       "AahVK977jo/3w1PoEAH9IGwG2L17JwMGebOmlylTjr/0iczQnKDsjbayi6T2gf2HnkxPbVad2Apl\n",
       "mfvZWgBiypdhwiLPsfptz++8OnJGkew94YRDi/2uWb2UnTu3c367S4qkdSS0gyy7oPIiSJvbtj+V\n",
       "Fcu3sC1td5hKRaZctqb6H8zsymzH8vzxSqoCdDOzxv5+1pSwzwEzzKy7XyHHSWoJ9AUS8R7e50ma\n",
       "CaTj12dmNl9SR6BBtjrtI0lt/XrlU+BGM9uSw5TqZrbV394KVM/F3HrANkmvAc2BhcBgM9uTLU5b\n",
       "YKuZrcvrmiH/loeSQBze2xa5fYoD681sPvBnoKNf8AuBRngF0QF4x8x+ATCz9Gznvus7DrHAucC7\n",
       "/vljgBp+nNp+39FSvGar07Odf1izkn/TVDCzWX7QBOD8bFEm+9+LgLpFvObACaryjDTlyp3Iff/3\n",
       "In2vv4vMzEyeffbuiDWfRitBll0ktONPrcx9r3QnbeN2xj00HYC9u/Yx4rp3eXnEfylRUgx/4XLC\n",
       "6dnZsH4d9903kJo1a3P77Q+FbfOR0g6i7IK0FyJnc6PG1YiNK813a38iJtbrtihT5gTKlC3MC4ER\n",
       "Y2+2LosrC45+kHQgQ9IrkroDe/3wDsCLAOaxA2gDTDazvWa2G69OaIvnnGTVZwAd+WOd1hCvTsPM\n",
       "OufiOPwB8womt8I5AW+6hX+ZWQu8pSdydm9cA0ws6KLzK5ktZvZwQQJHmewu6uNmNi77QUm3kksl\n",
       "75PlaZUA0v1+npw8DzxlZp9IageMCNG+nGlnNX0dII+8f+aZUQe3W7duw7nnhty7ETL169UHYNMm\n",
       "r7lwc2qqH14v8LTDoUSJkjRr2opmTVvxzTfTWL0mid27dxAXl+s4oWOSIMsu0tonn1aFkRN78FvG\n",
       "7zxwzTts/8n7CWZmGktnb2Dp7A2cd2lDTk88mdgKZdmZnhFyGikp3zH0jusoW7Yco59+k8qVqxbJ\n",
       "1iOhHfTvLoi8CMrmmNjSlCtXiit7nHkwrEHDquw/kMn/Zv5wMGzN2kWsWbsorLQijZkdkJSI11p9\n",
       "FXArhxaSzFkHWI4wcaiSz9nkclidVgBbJdUwsy2SagJpucTZBGwys2/9/ffI5jxIOgHojudg5MsR\n",
       "desC5AtgpKS3zGy3pHhgH/Bf4H1JT/vdFpXM7NfsJ5rZDn9k6VVm9p7fvNTMzJYC5YHNftS+2U7b\n",
       "6R/LjnytXyW1MbP/4XWpfBXKhdxxR15jXGD6f6eydo23uMzm1E1M+vcbtG71J+rWrR9KEofRqVMn\n",
       "qlWrxthxY4mJjeW18a9Rr1492rVrH5ZukDYvXjKHb76ZSsOGzfn5562s/W4pJ51UK2zHISh7o7Hs\n",
       "IqldtWYcj77dg9iKZfnoqYU0alGTRi1qsis9gzaXN2b1wlSq1ixPoxa1SNu0vUiOQ1raZobe0Zsd\n",
       "O7Zz9dU3sHLFIlauWMQFF4Y/RCsI7SDLLqi8CMrmH77/mV9+9pzJSpVPpOU5J7NxQzqrVvzxAbtR\n",
       "wxY0anioXvvks1fDSjcE8mwLkxQDxJjZ55LmAFnN/dOBm4Fn/YH5McAsYLykUXgPrt2A63LRz7VO\n",
       "M7Nt+dj4EXA98IT//UHOCL5jsVFSQzNbC1wErMgW5SJglZltznluTvJzHi4q6ORigAGY2TRJTYC5\n",
       "/iDVncB1ZrZS0t+AmZIO4HUX3JD9XJ/ewIuS7gdK4Q0UWYrX0vCupF/xHJGsJec+Bt6T1AW4PYfe\n",
       "9cAYSSfi3UT98rM9FMaNe4F582YjiVWrV3DvvXfw1JMvhF0BlSlThklvT+K2229n2LChnHFGU8aM\n",
       "GRORtwKCsjkutgLfr1vB7DlfUKpUaZo1TeS63kOLrb3RWHaR1K5xSkXKVzkRM6PP3W0Br8n7rq5v\n",
       "cVrzGrTt0ph9v+1n6ZwNjH/0qyLZuzl1A+npvyCJl156EvDebImE8xCEdpBlF1ReBGVzevpe0tO9\n",
       "1v6MjP0A7Niewc8/7cnvtEiT63+ypBS8LvzSkroCHc1sdbYocXjj7MriOQF3+OGDgXGSbsRrbR5k\n",
       "ZvMkjefQ24wvmdkSfyD+wfRzqdN24dVT2/IZ8zAKeMdPLwVv0COSavnpdPbj3Qa8Jak0h9dRPSlg\n",
       "oOTBfImW/u3jAUm2PuWXiOsGtaRzEMuHZ/HN3GCWHHZLcgdPNC7JHRRBLXEdjUtyv/by/IIjhciA\n",
       "W87DzNw8REeBkBfGcjgcDofDcXzjnAeHw+FwOBwh4ZwHh8PhcDgcIeGcB4fD4XA4HCHhnAeHw+Fw\n",
       "OBwh4ZwHh8PhcDgcIeFe1SxGSLLUjekFRwyRatWDmU18/rebAtEFSDzn5EB004q46FJBBJXHQRJU\n",
       "+dWtE8wMn0MvfT0QXYBeD0diFZfD2RzA7xmg2xXNAtGd9sWaQHSDom//Vu5VzaOEa3lwOBwOh8MR\n",
       "Es55cDgcDofDERLOeXA4HA6HwxESznlwOBwOh8MREs55cDgcDofDERLOeXA4HA6HwxESx43zIOl2\n",
       "SSslvXG0bSkqDzx4F80TTuPkOpW4vl/PiGrPnjObhBYJxMbFkNgqkaSkpIjobtyYzK239uLSSxO4\n",
       "+OKmDBnSh9TUDRHRDsLmaMzjaCu7SOZxjToVeODl7oyb2Z9X5wzk/8Z0pVq8twrp9Xefz5gZNzJx\n",
       "8a0Mf/6ysNK56+5rubZ3a3pdk8jQYVezaNH/wtLLznUPX83NQ84/+Ln67zeErRnkfQyw7/ffuOe+\n",
       "q+l3U2vemPhUsdctDJIOSErK9qkjqbKkGZJ2Snr+iBoUIr6t0yStlTRVUq7vTEtKkbTUv8YiL3V6\n",
       "TDkP8snj8M3ARWbWp5BaJ0TOssggia5dr/S2idyrzRkZGfTs2YM9e3YzevTTpKVtpdc1PcnMzAxb\n",
       "+6eftgLQv/9QOne+igUL/seoUXeHrRuUzdGWx9FYdpHM40onxQDw7r/mMfPDlTRtXZsBD1/gHzXm\n",
       "fL7W2wpzPpvGjc+if/97ufrqAWzY8D1jxz0alt4fEZtPPYup149g6vUjmNvl5vAVA7qPs/jo41f4\n",
       "NX1bxPWD0i0ke8wsIdtnA5AB3A/ceaSMKKAey497gGlm1hCY7u/nhgHt/WtMLKqdUe88SKoraY2k\n",
       "CcAy4AFJ8yUtkTTCjzMGqA9MkTRE0omSXpU0T9IiSV38eH0lfSRpOjCtgHiTJX3ue3lPZLOnk6SF\n",
       "khZL+tIPi8lNJ1QeefgJBvS/JZzsypUpU6aQlpbGoIGDGDhgIP369iM5OZmZM78KW7tZs5a88MIk\n",
       "rriiD0OGjCAurgIpKd8VW5ujLY+jsewimcdrl2xhZP/3mfbvZUx4Yha7d2Rwcv3KAEx4YhafvbE4\n",
       "Iunc0O8uzm55Ps2ataJUqVJUrnRSRHQ9jB2Va7D+9NasS7iATY3PCVsxqPsYYOPG75j65SS6dbkp\n",
       "KnTDwcz2mNls4Lf84kkaJWmFX+886YdVl/S+XxcsltTaDx8qaZn/GeyH5azHaksanrMuK4AuwAR/\n",
       "ewLQLT+TC6GXL8Xu6bqINAD6ABWAq8wsUVIJ4CNJbc1skKQ/43lbv0h6DJhuZjf4TTvzsip6IAFo\n",
       "ZmbpBcRrDpwF7APWSHrO3x4HtDWz9dmaje7LTcfM9oR6oUHMCJqckgxArVrx3nd8vB+eQrjz7p1w\n",
       "QqmD26tWLWXnzu106HBpmKrB2hxNeRyNZQeRy+MD+w+1sNQ/vRox5csyb9r3B8OK9PyWC7t376Bv\n",
       "v3YAlClTjn79hkdGGADR6NsvaPztFPbGVOSbyweyunXnsFWDuI8zMzN5dcJjXNjhaurVbVLsdUOk\n",
       "nKSsPr8fzOzKbMfyzExJVYBuZtbY3y/vH3oOmGFm3f2WhDhJLYG+QCLew/s8STOBdPx6zMzmS+oI\n",
       "NMilLpsl6VPgRjPbksOU6ma21d/eClTPw2QDvpR0ABhrZi8VkC+5EvUtDz7rzWw+8Gego38DLAQa\n",
       "4hVITjoC9/jxZgBlgDp4mTrNzNILEW+6me00s9+AlUBdoDXwtZmtByhAp3YErz+iBPGns37999x9\n",
       "d39q1qzNHXeMiLh+tE2zHpS90Vh2kaBW3Urc+VxntqXuYPzjMyOuX7ZsDCMeGkf/G+8hMzOTp0YP\n",
       "j0jXEMDKcy9jar9HmNbnQQ6UKk27fz9J3M8/RkQ70sya/Qk///wj5517Cb/8mgbAnr072bkzvGm4\n",
       "g9INkb3ZuiyuLDj6QdKBDEmvSOoO7PXDOwAvApjHDqANMNnM9prZbmAy0BavTsmqx8CrM3Kty8ys\n",
       "cy6Owx8w748grz+DP5lZAnAJ8FdJbUO41oMcKy0Pu7NtP25m4wpxzhVm9oc2WEmtcmjlFy97M9YB\n",
       "vLzM75/7MJ3cGP304we3zz23DeedW6RyDYn69eoDsGnTRgA2p6b64fUiop+c/B23334NZcuW4/nn\n",
       "J1K5cvhNvkHbHGmCsjcayy7SxNevxAMvd+e3jP2M7P8+23/ZW/BJIVKyZEnOPLM1Z57ZmtlzprJq\n",
       "1SJ27d5B+bjw1/FY1PEvB7erbVhN85nvUGHbJnZWqRm2dqT59dc0du5K58GHrzsYNvebKZQqVZp+\n",
       "f/m/wHVXrV7I6jWLipxOEJjZAUmJwIXAVcCt/jYc3j1gOcLEoXojZ91T2Losi62SapjZFkk1gbQ8\n",
       "7P3R/94m6X28VpBZIaQDHDvOQxZfACMlvWVmuyXFA/vMbFsu8W4HbgOQlGBmSRxe0IWNB94N8A3w\n",
       "L0l1zSxFUmUz+yUfncMYNvTePC/uy+lfsGbNKgBSN2/i7Umv07pVG+r5FUhR6dSpE9WqVWPsuLHE\n",
       "xMby2vjXqFevHu3atQ9LF2Dr1s3cdts17NiRTs+eN7J8+SKWL1/ERRcVadhH4DZHWx5HY9lFMo+r\n",
       "VI/lgVeuILZ8GT574xtOa16D05rXYO6U70hoW5faDbzxD1VrxNGh++msXJDK1o3bQ0ojKWk2s+d8\n",
       "QeNGZ/HTT1tYu3YJ1arViojjUCX1e1p9+hLrm7SmROYBGn07hf2lyvJzrfDut6Du48SzL+Tk+FN9\n",
       "3XV88NHLNGt6Lhe0D+VBvei6TRq3pEnjlgf3P/z45bDSDYE8O8AkxQAxZva5pDnAOv/QdLyB+s9K\n",
       "KgnE4FXS4yWNwmv57wZcl4t+Yeuy7HwEXA884X9/kIutJwIlzWynb3dH4OECrj1XjhXnwQDMbJqk\n",
       "JsBcf7DqLqA3sI0/tgqMBP4haSleAf6AN9gkZ1NPYePhp/+TpAHAZL+faiteV0peOiExZuzzfPPN\n",
       "bCSxatUK7rp7CE+P/mfYfwhlypRh0tuTuO322xk2bChnnNGUMWPGULQBv38kNXU96ek/I4kxY/4O\n",
       "eCPBw62AgrI52vI4GssuknlcvXYFylcqB2b0GnyeF2jG3CnfcXnfBBq3jAcz6jSsyk0PduDFB6eH\n",
       "7DzExVXku++WMWvW55QuXZpmzVrR9/rIDL7fE1cJWSaJn7/CCb//xi816jGv803sLV8lLN2gUSUy\n",
       "NgAAIABJREFU7uNatepRq5bXqhUbWwGAaiedzCl1GhVL3RDJteVYUgoQB5SW1BXoaGars0WJAz6U\n",
       "VBbPCbjDDx8MjJN0I17r9CAzmydpPJDVPfGSmS2RVDd7+vnVZfmMeRgFvOOnlwL08O2v5afTGaiB\n",
       "Vz+BV/+/ZWZTC51D2fMl2vqKj2XkluQ+iFuSO3jcktyHcEtye7gluR2F5VgZMOlwOBwOh+MI4ZwH\n",
       "h8PhcDgcIeGcB4fD4XA4HCHhnAeHw+FwOBwh4ZwHh8PhcDgcIeGcB4fD4XA4HCHhnAeHw+FwOBwh\n",
       "4eZ5KEZIst/37T/aZjgcYXHzZcHMx/DiJ38pOFIR6Vrr74Hofrj5rkB0HR6lSp/g5nk4SriWB4fD\n",
       "4XA4HCHhnAeHw+FwOBwh4ZwHh8PhcDgcIeGcB4fD4XA4HCHhnAeHw+FwOBwh4ZwHh8PhcDgcIeGc\n",
       "hwKQ9LCkCyOs2V7Sx0U5d/ac2SS0SCA2LobEVokkJSVFxKZo0w1S2+kGq91r9VuM/moIY6feyK2L\n",
       "no2AlYcIKi9q1a/E4+9fy8TVg3n3h6GMfKcXNU4Jf+nxaCu7aNQtLJIOSErK9qkjqbKkGZJ2Snr+\n",
       "iBoUIr6t0yStlTRVUq43qKRXJW2VtCxHeHNJcyUtlfSRpLj80juunAf5hHKOmT1kZtODsikUMjIy\n",
       "6NmzB3v27Gb06KdJS9tKr2t6kpmZeVzpRqPN0aYbpLYh5tdI9LZD+znmS5B5UblGLABvPTGLaW8v\n",
       "5ax2dbn9mUuKrb3Rdr8FmRchsMfMErJ9NgAZwP3AnUfKiKLUUz73ANPMrCEw3d/PjdeATrmEvwzc\n",
       "ZWZnAu8Dw/NL7Jh3HiTVlbRG0gRgGfCApPmSlkgakS3eA5JWS5olaaKkYX74eElX+tsXSlrke2av\n",
       "SCrth6dIGiFpoX+skR+eKGmOf85sSQ3DuZYpU6aQlpbGoIGDGDhgIP369iM5OZmZM78KRzbqdKPR\n",
       "5mjTDVL7342vZdopHcO2LydB5sWq+anc230in762iHH3fcmu9AzqNKpabO2NtvstyLwIBzPbY2az\n",
       "gd/yiydplKQVfr3ypB9WXdL7khb7n9Z++FBJy/zPYD8sZz1VW9Lw3OqqfOgCTPC3JwDd8rimWcCv\n",
       "uRw6zT8G8CVwZX6JHfPOg08D4J/AHUC8mSUCCUBLSW0lnQNcAZwJXAKcDWRNvWmASSqL57H18D2z\n",
       "E4Cbs8XZZmYtgRc55KWuAtqaWQvgIeCxcC4iOSUZgFq14r3v+Hg/PCUc2ajTDVLb6R4Z7SCmBAzS\n",
       "3gP7Dz0BN2heg9iKZVk+d2NYmtFYdtGmGyLlsnVZ/CfHsTynYpZUBehmZmeYWXNgpH/oOWCGmZ2F\n",
       "V9+slNQS6AskAq2BmySd5cdvAPzTzJoCjYEG2eqqsyW19dP7VFKNXEypbmZb/e2tQPWQrh5WSOrq\n",
       "b18N1M4v8gkhikcr681svqSngI6SsjrTYoDTgDjgAzPbB+zLZTyCgEZAspl974dNAP4KZHXaTva/\n",
       "F+E5IgAVgdclNcC7+UoVZOgjjzx8cLtdu3a0a9c+z7hBTS0ebbpBajvdI6MdBEHYe3KDyjz45lVs\n",
       "XZ/OmHunRlQ7GsvuSOvOnPkVM2fODCRNYK+ZJRThvHQgQ9IrwCf+B6ADcB2AeRe0Q1IbYLKZ7QWQ\n",
       "NBloC3yEX0/553bk8LqqATDLzDoXZJCZmaRQC+cG4DlJD/j27Msv8vHiPOzOtv24mY3LftBvOsr+\n",
       "MJTbg1HOglCOsKxmrQMcyteRwHQz6y7pFOCrggx98MGH8jxWv159ADZt8p54Nqem+uH1CpLNl2jT\n",
       "DVLb6R4Z7SAI2t7aDavw+PvX8tue37n3iomkb9sTll40lt3R1m3Xrv0fHqhGPjqSo42ZHZCUCFwI\n",
       "XAXc6m/D4XWJcXhdk1WP7M4R97C6qgC2SqphZlsk1QTSQjgXM1sD/BnA72LP10k5XpyHLL4ARkp6\n",
       "y8x2S4rH865mA2MlPY7XOtAZGJvtPAPWAHUlnWpm64A+QEEucHlgs7/dL1zjO3XqRLVq1Rg7biwx\n",
       "sbG8Nv416tWrl2/rxLGoG402R5tukNrNti0hfpdXOVTJ+Jk2m75mTeVGbDsx1FbWI2MvQNVacTz+\n",
       "fm/iKpXlgzHf0uTseJqcHc/XH6wqlvZG2/0WZF5EiDx72iTFADFm9rmkOcA6/9B0vK7tZyWVxGs9\n",
       "mAWMlzQKb9hAN7zWiZz6udZVZrYtHxs/Aq4HnvC/PwjpAqWTzGybpBJ4g0RfzC/+8TLmwQDMbBow\n",
       "EZgraSnwDhBrZgvwMn4p8BnegJXtfxAw+w3PAXjXP3c/MCa7frbtrP2/A49LWgSUzCVeSJQpU4ZJ\n",
       "b08iJiaWYcOGUr16Dd5+exJFG5gbvbrRaHO06Qap3THlC7p/53Upx+/cRJ+VE2iQ/n0BZx09ewFq\n",
       "1q1EhaonohLi+vvbM3xsV+4c06XY2htt91uQeRECuf4nS0oBRgN9JW2Q1DhHlDjgY0lL8JyDO/zw\n",
       "wUAHv75YADQxsyRgPDAf+AZ4ycyW5Ew/l7rqXSDWtyevMQ+jgIslrQUu8PeRVEvSp9mu521gDtBQ\n",
       "0kZJWQ+210hagzdWb5OZjc8zp3BLch9EUozv4Z2I16Jwk5ktPsI2uCW5HVGPW5L7EG5J7mBxS3If\n",
       "PY63bov8GCfpdKAsMP5IOw4Oh8PhcEQLznnwMbPeR9sGh8PhcDiigeNlzIPD4XA4HI4I4ZwHh8Ph\n",
       "cDgcIeGcB4fD4XA4HCHhnAeHw+FwOBwh4V7VLEZIsqSk1Ijrpm3LOXFZZEhN+SUQXYA+fc8OTDsI\n",
       "lq/YWnCkItL0jPAmTzpWCDKPg+KBS94IRPf9DcEs8hhteZyQEO9e1TxKuJYHh8PhcDgcIeGcB4fD\n",
       "4XA4HCHhnAeHw+FwOBwh4ZwHh8PhcDgcIeGcB4fD4XA4HCHhnAeHw+FwOBwh4ZyHHEhqKenZo21H\n",
       "bqxf/wM33XQVHTo0pU2bRtx88zVs2rQ+Itq333YV3bsl0OXy5txyc1e+/fbriOgCDL+3GzcOPPfg\n",
       "Z8TIyKyOOHvObBJaJBAbF0Niq0SSkpKKrW6QZRdUPgSpHW15HEntpz7tw7/XDuHddXfwj6l9adGh\n",
       "3sFjpcqU5MVZ/fkw9S4GPHpRWDZHUx4HWXaFRdIBSUnZPnUkVZY0Q9JOSc8fUYNCxLd1mqS1kqZK\n",
       "qphHvIqS3pO0StJKSa1zHB8mKVNS5fzSc85DDsxsoZkNPtp25Ma2bd472DfffCdduvRk3rxZPPJI\n",
       "ZN73PuOMFtxyywP07n0LKSnf8fxzIyKiCyBEo9MSGHjTSAbeNJKrr/xr2JoZGRn07NmDPXt2M3r0\n",
       "06SlbaXXNT3JzMwslrpBlV1Q9gapHW15HGntVd+mMva+L/n3M3M4pXFVbhnV8eCxXkP/RJWacd5O\n",
       "GHPwRFseB1l2IbDHzBKyfTYAGcD9wBEzRj5FOPUeYJqZNQSm+/u58SzwmZk1Ac4EVmVLuzZwMVCg\n",
       "53bcrKopKQZ4B4gHSgIjgWS8jDwR+A24EDgbGGZml/vnPA+cAZQCRpjZR5L6Al2AcsCpwPtmdref\n",
       "Tifgb34aP5nZRXnphHoNzZufzUsvvXdw/7PP/sMPP3wXqkyuDBz0f2zf/gs//riRUhNfpEqVahHR\n",
       "BTCMKlVrcmbT8yhb9sSIaE6ZMoW0tDSeGPUEAwcMZMuPP/K3x/7GzJlf0aHDBcVON6iyC8reILWj\n",
       "LY8jrf3KiP9SvnI5qtepSI8hB/h5yy4A6jY5ia43nc2bT8yi34MdwrI32vI4yLILBzPbA8yWdFp+\n",
       "8SSNAi4H9gNTzWy4pOrAGCCraWmQmX0jaSjQzw972cyelVQX+AL4BmgJXCqpJ3A1UAavjhlRgLld\n",
       "gHb+9gTgK3I4EJIqAG3N7Hr/+vYD27NFeRq4C/iwgLSOH+cB6ASkmllnAEnlgSSgh5ktlBQL7M1x\n",
       "zn3AdDO7wW8CmifpS/9Yc+AsYB+wRtJz/vY4vMJZn63ZKFcd/8YsNKVKlTq4vWLFEnbs2M5FF3UO\n",
       "RSJPdu3aQc8e5wJQtuyJDBx4b0R0wWt5mDP3c+bM/Yy42Ipc2f0W2ra5PCzN5JRkAGrVive+4+P9\n",
       "8BTC+dsNSjeosgvK3iC1oy2PI60dU74Mbyy7DYCMPft4ZcR/keC20Z345NVFfL90S9j2RlseB1l2\n",
       "IVBOUlbfzg9mdmW2Y3k2A0mqAnQzs8b+fnn/0HPADDPr7rckxElqCfQFEvFa/udJmgmkAw2APmY2\n",
       "X1JHoIGZJUoqAXwkqa2ZzZL0KXCjmeW8UaqbWdYUoVuB3KamrQdsk/QaXh22EBhsZnskdQU2mdnS\n",
       "wjR8HE/Ow1LgKd9D/ATP2/rRzBYCmNkugByZ1hG4XFJWk1UZoA7ejTTdzHb656wE6gKVga/NbL2v\n",
       "mZ6PTm1gTU4jx4wZfXD77LPP5eyzzzvsQpKTv2fIkH7Ex9fh7rsfDS0X8qBcuRgeH/UaGzas45WX\n",
       "n+Sxx4YwfsJ0SpQIv2fr/LZdqVnjFH7f/zv/mfwvXn9zFE0at6Rq1VoRsNwjqGnWI60bRNllJ8jp\n",
       "5l0eR0Z77659PNDz39Q+rQr9HmjPXWO78u9n5nDSyRWY8d7n1D3da/WLqVCW8pXLseOXnM80oRMt\n",
       "eVyQ7oIFc1iwYG7E0svBXjNLKMJ56UCGpFfw6pZP/PAOwHUA5hXADkltgMlmthdA0mSgLfARsN7M\n",
       "5vvndgQ6ZnNmYvCci1lZD8D5YWYmKbdCPwFoAdxqZt9K+gdwj6THgf/D67LIIl8P4rhxHszsO0kJ\n",
       "QGfgUWBGIU+9wsz+0H4mqRVeN0cWB/DyMr9f6GE6uTFo0LB8j69bt5aBA3tQtmw5xo59hypVTipI\n",
       "slCULFmShITzSEg4j1lfT2H58gXs2rWd8uUrha192aV9D26nrF/FtC8nsTVtY1jOQ/169QHYtGkj\n",
       "AJtTU/3wenmeczR1IZiyC9Jel8fBaGdmGkv/t56l/1tPm8sbcXqr2tRvWo0KVU7kuek3HIzX/soz\n",
       "2Pfbfv45/IuQ04jGPC6M7tlnn/eHB6qxY5+OSNrhYGYHJCXidXtfBdzqb8PhFbDlCBOH6o2cixA9\n",
       "bmbjQjBlq6QaZrZFUk0gLZc4m/BaF77199/D69o4Fe8BeIn/AH0ysFBSopnlpnP8OA9+Zv5qZm9J\n",
       "2g7cDNSQdLaZLZAUB+TsRvgCuB24zddIMLMkcvfIDK+/6l+S6ppZiqTKZvZLPjohsWVLKgMGXM2O\n",
       "Hen07n0TS5cuZOnShXTq1DVUqT+wYMEsvp75OaefnsC2bT+yatViqlePj4jjsHHTd0z+YAzNmp7L\n",
       "gQMHmDP3c0qXLsvJ8Q3C0u3UqRPVqlVj7LixxMTG8tr416hXrx7t2rUvlrpBlV1Q9gapHW15HEnt\n",
       "hPb1aHN5Y1YvSKVqrTgatYwnbeN2Pn1tEcvmbMAMTmlUlWvubMPC//7A5xOK9oZEtOVxkGUXIfJ8\n",
       "CvfHtMWY2eeS5gDr/EPT8eqZZyWVxGs9mAWM91vASwDd8Foncup/AYyU9JaZ7ZYUD+wzs2352PgR\n",
       "cD3whP/9Qc4IvmOxUVJDM1sLXASsMLPlZOvmkJQMtPTrr1w5bpwHoBnwpKRMvLEJN+MV3vOSyuE5\n",
       "DhfjOQFZnuBI4B+Slvpxf8AblJI9zkHM7CdJA4DJfj/VVuDP+eiExKZN6/n115+RxPPPPw543Szh\n",
       "/sDKl6/ImjVL+eqrTyhVugxnndWamwbkNVA3RO24ylim8cFHL7NvXwbxtepzRbeBVKhQJSzdMmXK\n",
       "MOntSdx2++0MGzaUM85oypgxY3J2OxUb3aDKLih7g9SOtjyOpPbOX/fSMKEm7bo3YV/Gfpb+bz2v\n",
       "PjyDTd//wqbvfzkYB2BLyq/8sDzXh74CibY8DrLsQiDXlmNJKUAcUNofF9DRzFZnixIHfCipLJ4T\n",
       "cIcfPhgYJ+lGvNbpQWY2T9J4IKt74iUzW+IPmDyYvplNk9QEmOuX2S6gN954hbzGPIwC3vHTSwF6\n",
       "+PbX8tPJ6u64DXhLUmk8R6cfh1NgP5dbkrsYIbck90HcktyHcEtye0TbctHgluQOGrck99HDzfPg\n",
       "cDgcDocjJJzz4HA4HA6HIySc8+BwOBwOhyMknPPgcDgcDocjJJzz4HA4HA6HIySc8+BwOBwOhyMk\n",
       "3KuaxQhJ9vwzkVsKO4tBfz18iuvjlbffXBSI7rltw5+5Ly/qnhL+ZF2O/ElZ/2sgukGVXecqjwei\n",
       "++nPkVvT5khQqvQJ7lXNo4RreXA4HA6HwxESznlwOBwOh8MREs55cDgcDofDERLOeXA4HA6HwxES\n",
       "znlwOBwOh8MREs55cDgcDofDERLHvPMgKUVS5YDT+FRS+SDTyE7JkqL3X1ry18FtOL/9qRHRnD1n\n",
       "NgktEoiNiyGxVSJJSUnFWjdI7REj+zHglg70H3Q+94+4jqXL5oat+cgj99K69ek0bFiNAQN6R8DK\n",
       "Q0RjHkebblDlFyl7a51aib9/ch3vJA9l8qbhPPbBtdSoWxGAmAplGD62C//ZcCfvpw7nyc/6FAub\n",
       "j5RuYZF0QFJStk8dSZUlzZC0U9LzR9SgEPFtnSZpraSpkirmEqdRjmvcLun2oqR3zDsPeOuSB/oe\n",
       "sJl1NrMdQaaRnXNa1SEmtkxW2mHrZWRk0LNnD/bs2c3o0U+TlraVXtf0JDMzs1jqBq192mln0qf3\n",
       "MLpefiOpqesY/8aosDUlcdll3Q9uR4pozONo04Vgyi+S9lapEQfA63+bydS3lpDQvh53PH8ZAEP/\n",
       "eTkdrm7K5xOSePHuqaSu+6VY2HwkdENkj5klZPtsADKA+4Fg1kDPBfkU4dR7gGlm1hCY7u//ATNb\n",
       "k3V9QEtgD/B+Uew8ppwHSTF+K8BiScsk9fAP3SZpoaSlkhr5cStL+kDSEklzJTXzw0dIekPSHN+D\n",
       "6++Ht5f0taRPJK2W9GJWAWe1bkiqK2mVpHGSlkv6QlJZP845fvpJkp6UtKwo11il6ok0T4hn/jfr\n",
       "w86vLKZMmUJaWhqDBg5i4ICB9Ovbj+TkZGbO/KpY6gat3bvXHZx1ZhtOb3I2J5xQmkoVTwpb84EH\n",
       "HqNfv0Fh6+QkGvM42nQhmPKLpL0r523irsve5JOXFzLm7qnsSt9LncZVqX5KRc67rBEz3l3Oaw/P\n",
       "4MuJS/nHbZ8WC5uPhG64mNkeM5sN/JZfPEmjJK3w65Mn/bDqkt7366PFklr74UP9+mmZpMF+WF1J\n",
       "ayRNAJYBtSUNlzTf1xxRCHO7ABP87QlAtwLiXwSsM7ONhdA+jGPKeQA6AalmdpaZNQOm+OHbzKwl\n",
       "8CKHPMiHgYVm1hz4P+D1bDpNgQ7AucCDkmr64ecAtwKnA6cCV/jh2R//GwAvmFlTIB240g9/DbjJ\n",
       "9/j25zin0FxwUUOWLdlM2tZdRTk9V5JTkgGoVSve+46P98NTiqVu0Nq79+zk1iF/5pG/3YAQ1/Yc\n",
       "ErYmRKaVKCfRmMfRpptFpMsvkvYe2H/oCf20hJrEVizH8tkbOKVxVQAatazFh1vu5oMf7+KGER2K\n",
       "hc1HQjdEymVrzv9PjmN5Fr6kKkA3MzvDr09G+oeeA2aY2VlAArBSUkugL5AItAZuknSWH78B8E+/\n",
       "7mgMNDCzRP/csyW19dP7VFKNXEypbmZb/e2tQPUCrrcXMLGAOHlyrDkPS4GLfS+wTbauhMn+9yKg\n",
       "rr/9J+ANADObAVSRFId3k3xoZr+Z2c/ADLyCNmC+maWYWSbwNtAmFxuSzWypv70QqCupAhBrZvP8\n",
       "8IkUoSulyRnViYsrw5pVacTGlgagTJkTKFv2hFCl8iWoKcuDnAo9ktrlyp7IXcOe57prh5FpB/jn\n",
       "mPuOdPNpkYmWPI5m3aCIhL21T6vCw5N6sGV9Ov8c/gWly3j/DWXKleJv1/+Hld9s4uoh53FWu7ph\n",
       "pwXHXNntzdZlcWXB0Q+SDmRIekVSd2CvH94B74EV89iBV2dMNrO9ZrYbr25qi1e/rDez+f65HYGO\n",
       "kpLw6pGGeM5FVjf5lvwMMi8D83N4SgOXA++GcJ1/ILK1zlHGzL6TlAB0Bh6V9F//UFaT0wH+eM2F\n",
       "rcCzao7shaFs4dnJ3rx1ACiXS5w80/1syqsHt09rkMBpDRIO7sfGlqHciaXodV2Lg2GNmlTjwIFM\n",
       "Zkz/Pj/786V+vfoAbNrktV5tTk31w8NbryEo3aC1S5QoyRmnJ3LG6YnM/3Y6a79bzO49O4iLPWz8\n",
       "0VEnGvM42nSDItL21mlUlSc+uY7f9vzO3Ze9Sfq23fyY4q3ZsXzuRuZ+upZK1WJp3q4uNetWYvHM\n",
       "lKNuc6i6M2d+xcyZM8NKK9KY2QFJicCFwFV4rdMX+odz/tfnHIMnDtUru3PEfdzMxoVgylZJNcxs\n",
       "i99anpZP3EvwWt63haD/B44p58HPsF/N7C1J6UD/fKLPAnrjORnt8bo2dvrjGLpKehyIBdoDd+M1\n",
       "IyVKqgtsAHoCYwpjl5lt90frJvqeZa+84l7a6YY8db5fu42ff/LurypVY0hsXYf1Kb+ybOmPhTEj\n",
       "Tzp16kS1atUYO24sMbGxvDb+NerVq0e7du2LpW6Q2kuXz2X+/C85rcGZ/PzLVr5ft4yqVWqG7TjM\n",
       "mDGVtWtXA7B58ybeffdNEhPP45RT6oelG415HG26EEz5RdLek+LL8/dPryOuUjkm/HMeTRLjaXJO\n",
       "PDMnryRlRRoJ7etyyfUJdLzuTA7sz2TFN0Xq5j7qZdeuXfs/hI18dCRHiDwf+CTFADFm9rmkOcA6\n",
       "/9B04GbgWUklgRi8eme8pFF4Lf/dgOty0f8CGCnpLTPbLSke2FdAZf8RcD3whP/9QT5xr8FrPS8y\n",
       "x1q3RTNgnt/U8yDwKH9sLcjelDMCaClpCfAYXmZnxVmK110xF3gkWxPRt8ALwEq8gSbvZzuHXLaz\n",
       "798IvOTbdiKwPdSL+/XXvfyw7md+WPczqZu807en7+WnbTkd1tAoU6YMk96eRExMLMOGDaV69Rq8\n",
       "/faksEeVB6UbpHZsTAV+SF7JGxOfYtr0dzijyTncMXh02Pa+8sq/GD36USSxZs1K7r9/GIsWfRu2\n",
       "bjTmcbTpQjDlF0l7a9arRIWqMaiE6DfiAu55pTt3v+KNl3v8hvf5MflXbv57R2IrlOXJgR+yYc1P\n",
       "R93mI6EbIrk280tKAUYDfSVtkNQ4R5Q44GO/LpkF3OGHDwY6SFoKLACamFkSMB6YD3wDvGRmS3Km\n",
       "b2bT8Lq35/rnv4v3MJvfmIdReN32a4EL/H0k1ZJ0cJSs7+xcxKHu/CLhluTOgaSHgF1mNjpHeHtg\n",
       "mJldXkTdGL+PC0n34A1uuSNHHLckd8C4JbkdueGW5PZwS3I7Cssx1W0RQXLzqPIdgFIIOku6Fy/P\n",
       "U/BG3DocDofDEXU45yEHZvZwHuEzgSKP1DGzd4B3inq+w+FwOBzFhWNtzIPD4XA4HI6Acc6Dw+Fw\n",
       "OByOkHDOg8PhcDgcjpBwzoPD4XA4HI6QcM6Dw+FwOByOkHBvWxQz4uLKRFwzkotoZada9dhAdAHm\n",
       "f7spEN3MzGDmNTmxbKlAdCG48os25n9btFkRC0O16nGB6L787JxAdF9beVsguoN7hjXpYL70vrNt\n",
       "YNqOI49reXA4HA6HwxESznlwOBwOh8MREs55cDgcDofDERLOeXA4HA6HwxESznlwOBwOh8MREs55\n",
       "CBFJLSU9W0Cc5pIuCcqGEr//Rrf7ruYvN7UmceJTEdF84MG7aJ5wGifXqcT1/XpGRBNg9pzZJLRI\n",
       "IDYuhsRWiSQlJUVEd+PGZG69tReXXprAxRc3ZciQPqSmboiINkQ+j4PK3yC1o00X4Py7r6Vz79Zc\n",
       "dk0i7YddTbVF/4uIbpD329krv2T46wN5ZMzV9PtoBHG7fg5bM5J5fPWNZ/P4q1fy/Hu9GXRv+4Ph\n",
       "w0d14qk3e/D0xF7c89SlnJ5Qs8hpBP17LgySDkhKyvapI6mypBmSdkp6/ogaFCK+rdMkrZU0VVLF\n",
       "fOKW9K/x46Km55yHEDGzhWY2uIBoCcClQdnQ/ONXODF9m78XmdVoJdG165W+YmQ0MzIy6NmzB3v2\n",
       "7Gb06KdJS9tKr2t6kpmZGbb2Tz9tBaB//6F07nwVCxb8j1Gj7g5bN4tI53EQ+Ru0drTpAvzS+CyW\n",
       "9r+XNVcPoPyG72k+7tGI6AZ1v8Vv/Y4r/vsC22Or8vl5famfupzuX70Ytm4k89gMFvwvxdvOFr5u\n",
       "9TbefXkBn7+7jFp1KtJzQKsipxH077mQ7DGzhGyfDUAGcD9w55EyQj5FOPUeYJqZNQSm+/t5MRhY\n",
       "SRgrRR93zoOkGEmfSlosaZmkHpIulLRI0lJJr0gq7cc9R9JsP+48SbGS2md5a77Wq/6xRZK6SCoF\n",
       "PAL09MN6+J5gVf+cEpK+k1SlKPZX2vgdp385icVdbopUlgDwyMNPMKD/LRHVnDJlCmlpaQwaOIiB\n",
       "AwbSr28/kpOTmTnzq7C1mzVryQsvTOKKK/owZMgI4uIqkJLyXfhGE0weB5G/QWtHmy7A8n53sbXl\n",
       "+Wxr1orMUqXIqHRSRHSDut/qbV4JwLymf2bumZ3ZXLU+jdcvpFxGeHN7RDKP33t1ATM+Xn1Y+OTx\n",
       "C1m+MJW1y7aw//cDbP91T5HTCPL3HA5mtsfMZgO/5RdP0ihJKyQtkfSkH1Zd0vt+/bFYUms/fKhf\n",
       "9yyTNNgPqytpjaQJwDKgtqThkub7miMKYW4XYIK/PQHoloetJ+M93L5MGE9Gx+MkUZ2AVDPrDCCp\n",
       "Al5hXWBm3/uFd7OkF4FJQA8zWygpFtibQ+s+YLqZ3eA3Ec0DvgQeAFqa2e1+Go2B3sCz8P/tnXm4\n",
       "VlXZxn83OCA44IQDDqAkOWDiCM7m8GkOOQ+ZU1Zan+JQ9jVZmpaWaaVWaiqaQ6WmpZlTjigqCiiD\n",
       "SqZgCaKmoogz3N8fa72cl+M5B87Ze8N55fld13udvdfe773Xu84enr3Ws56HnYAnbLeB7fyjAAAg\n",
       "AElEQVS/b3LWLLa88ic8s8MBvNZn3fb/8rlglxtAaeKkiQCsumrv9Ld371w+iR0Kai+ySFNQpqef\n",
       "HsP06W+yww4ldPZU2MZlt+/80G403UVnvMVuR20HwEeLL8G4o04pRbeq8+3t7ssA0GfKU0xZcS1W\n",
       "eHMKAMtOf4V3uxULwlbl+QawRPdFOXvo/gB88P5H3Dh0ZIe1Krue28cSkmrjqs/b3q9uW6uNmV8E\n",
       "97b96by+dN50PnCv7X1yT8JSkjYBjgQ2J728PyrpfmAa0A84zPYISbsA/WxvLqkLcLOkbWwPk3Qr\n",
       "cLTtqc2qspLtl/Pyy8BKrVT5F8ApwNKtbJ8nFrqeB2AMsHO2FLcG+gATbf8rb78S2BZYB3jJ9kgA\n",
       "22/bntlMaxfg2/mEuxdYHFiDZM3VW3SXA4fn5S8BQztS8X4P/Y0er73Ec4N3o/sbrwCw2LvTWXz6\n",
       "tI7IzXequJm98MK/+L//+zKrrLI6J510WmG9Rm/jhZ0Pu/XgoR9ewpijv41mzWKzc0+BEobJapR9\n",
       "vo3ttxUvrLIuW4y7nZOuOY6us2aCzYddq4tYWhbvvfcRF55+Nzdc9hhduogvfWMbOtTZXkfZ7dtO\n",
       "3q0bsthv7rvPZhrwXu613oeml8wdgN8COPEWsDVwo+13bc8AbgS2IRknL9gekb+7C7BLfraMJD2P\n",
       "+mWt3VswHObA6Wb7sRuupD2AV2yPpuB47ELX82D7WUkDgd2BM4F7mu3S3gbd1/Yc/WuS5hj8s/2i\n",
       "pJclfRbYDDikNbGb/vq72cuf7r8x6356k9nrPd54hW5vT2Ov0784u2ytR25n5qKL8fDh321ntatn\n",
       "rb5rAfDiiyms8JTJk3N531L0J058liFDDqFbtyW44IJrWW654l3UjdbGQTO6duW/Gw7ivxsOovfw\n",
       "O1n+6VEsOuMtPlyqVd+xeaaK821m10W5eN+fsNJrL+AuXdhz2KWs+dIzvL7MyoW1q8azzISxU5kw\n",
       "dioDt1yTtdftRfceizHj7Q86pDcv7Ttq1MOMHv1I0aqXiu2ZkjYHdgT2B47Ly/Dx54mblYmmh/yM\n",
       "ZvueZfuSdlTlZUkr254qaRXglRb22RLYS9LngG7A0pJ+b/vwFvZtk4XOeMiN+obtayS9CfwvsKak\n",
       "tW0/BxwG3AdMAFaRtKntxyUtBTQf1LsDGAIcn7UHZotuOtA8WP6lwNXAlW7jFXyfz7c+zj5p0x15\n",
       "o/faAPSc8hwb3XwpkzcYzITt22Mkt8w/7r6DCROeBmDylBf5wx9/z6AttqZvNgA6wq677kqvXr24\n",
       "+JKL6bHkkgy9Yih9+/Zlu+22L1zfl1+ewvHHH8Jbb03joIOOZty4UYwbN4qddtqrkG5VbVxF+1at\n",
       "3Wi6vUY/RO/hd/B6/41Y4r9TWe6fT/JOr1VLMRyqOt/kWewx7DKmrLgWq73yLGv/ZwzDBn6emQV7\n",
       "Hsps4/U36c2qa6ThleVW6M6WO/WjSxexZr/leX7Cqyy7Qg/6rrMCr7/ydocNh3lt3403HszGGw+e\n",
       "vX755W1OfCuTVl8qJfUAeti+TdJw4Lm86W7ga8CvJHUFegDDgCsknU3q+d8b+GIL+ncAZ0i6xvYM\n",
       "Sb2BD2y/SuvcDBwB/DT//UvzHWx/F/hurvd2wDc7YjjAQmg8AAOAcyTNAj4g/XN7AtdLWgQYAVxk\n",
       "+0NJBwEXSFqCZDjsTLISaw//M4BfShpDOhGeJzmt3EvTcMZZtq8DbiENV3RoyALgzVX78uaq6a39\n",
       "/SXTxTx9xdV4fY3+HZWczUUXX8AjjzyEJJ5+ejzf+r8TOe/cXxe6oS+++OL88Q9/5PghQ/jGN05m\n",
       "/fU34KKLLqJjjsRzMnnyC0yb9hqSuOiinwHJw7zozbyqNq6ifavWbjTdD5bqSc9nx9J72G3MWmwx\n",
       "Xh2wBeOOKMdJvqrzzYi+U8az+fg7eX/Rbjy84e7cMeiwwvUts4132mtd+q2/EtisuuayHHLM5vzl\n",
       "6tGs+anl2XSbPnz4wUwmjJ3KTVeO6nB9q2rfdtLiS52kSaSXwcUkfR7YxXa9B+lSwF8ldSMZASfl\n",
       "8hOASyQdDcwEjrX9qKQrSM8ZgN/ZflJSn/rj275L0rrAw/l++TbJb+7VNnwezgauy8ebBByY679q\n",
       "Ps7u8/qb5wVV7VQTJCRtCpxre7s29vEVlz5a+rF3/p/ixkVLNGJWzWeffnnuO3WAqto4aKIRs2re\n",
       "/IcnK9Ed8n+t3kYK8eMhHZ72P1eqyKq51VZ9sF3ufN9gnlgYex7mO5K+DRwLfGFB1yUIgiAIirIw\n",
       "zraY79g+23Yf28MXdF2CIAiCoChhPARBEARB0C7CeAiCIAiCoF2E8RAEQRAEQbsI4yEIgiAIgnYR\n",
       "xkMQBEEQBO0i4jx0IiT5ow+bp89YOHn9teaRWsth2eW6V6JbJWUE1WqJRrv233i941kb50ajnRdV\n",
       "tUWV7bDTYqeXrnk/Z0SchwVE9DwEQRAEQdAuwngIgiAIgqBdhPEQBEEQBEG7COMhCIIgCIJ2EcZD\n",
       "EARBEATtIoyHipC0naTBc99z3jnxxBNYtfcqLLrYInx+73JT1ValXZXu88//i3323Z1Pr9eHtfr1\n",
       "5oCDPs+kFyaWov3Q8IcYuPFAllyqB5tvsTmjR4/u1LpVnheN1BZxTjTRKG2x21EDueZfJ3L7jO/z\n",
       "s9sOY/lVmrKbLrb4Ivz+mSHcM/M0hpz/uTKq3iaSZkoaXfdZQ9Jyku6VNF3SBZVXogC5rndJ+qek\n",
       "OyX1bGW/70gaL2mspGslLZ7LT5P0Yt3v37Wt44XxUAGSFgF2ALYsWZeDDzp49nIjaFelO3VqSmX/\n",
       "rVO+xyEHH8oDD9zHyScfX1j3vffe46CDDuSdd2Zw7rnn8corL3PwIQcxa9asTqkL1bVxo7VFnBNN\n",
       "NEJb9N9kVU659PO8+p83ufhbd7LR9n04+aI9Z28//Afbs2LvZEzMp1nF79geWPf5N/Ae8H3gm/Ol\n",
       "BoAyHfjqt4G7bK8D3J3Xm2v3Ab4CbGx7ANAVODhvNnBe3e+/va2DhfEASOoh6VZJT2Rr7EBJkyT9\n",
       "VNIYSY9KWjvv20fSPZKelPQPSavn8iskXSTpEeBPwDHASdmC21rSAVn7CUn3d6Sev/jFLznhhBNL\n",
       "+93zQ7sq3c0224KbbryVLx31FX585s/o2bMnE/75TGHd22+/nVdeeYVjjzmWY756DEcdeRQTJ07k\n",
       "/vvv65S6UF0bN1pbxDnRRCO0xYbb9gHg5osf56Zfj+DZ0VMZtPs6LNmzG2sNWIn9TxzE0B/eW7jO\n",
       "RbD9ju2HgPfb2k/S2flt/klJ5+SylSTdlO/5T0galMtPzs+CsZJOyGV9JE2QdCUwFlhd0imSRmTN\n",
       "0+ahunsBV+blK4G9W9jnLeBDoHt+ye0OTK7/KfNwHCCMhxq7ApNtb5StsdtJVtg02xsCFwK/zPte\n",
       "AAy1/RngGuD8Op1VgcG29wMuosmKexA4FdjF9kbAnnSQKgP7VKVdhe6iiy46e/mJJ0Yxbdo0Bg/a\n",
       "qrDuxEmpa3fVVXunv7175/JJnVK3RhVt3GhtEedEE43QFtNeeRuADbdZkzX6r8Bqn1oOgFX6Lssp\n",
       "l36emy4cwYTHpxSucztYoq7L/s/NtrV6gUlaHtjb9vr5uXBG3nQ+cG++5w8EnpK0CXAksDkwCPiK\n",
       "pI3y/v2AX9veAPg00M/25vm7m0raJh/vVkkrt1CVlWy/nJdfBlZqvoPt14FzgX8DU0jPuH/U7XJ8\n",
       "NlYua23Yo0YYD4kxwM7Zetza9lu5/A/57x+Bmv/CIODavHw1sHVeNnC957yL11txDwFXSvoysEjZ\n",
       "P2Bh5dln/8lhRxzMGmusyU9+ck7p+o1kUFVNo7RFnBNNdOa2uPe68Yx76D/sdeymXPHUcXRdtCsS\n",
       "rDdoNVZasyd3XvUEK662NABL9uzGMstXHgX03bou+/3a8b1pwHv5gbsP8G4u3wH4LYATb5GeFzfa\n",
       "ftf2DOBGYBvS8+MF2yPyd3cBdpE0GhgJrEMyLrC9u+2pbVUoP4c+9s/JPegnAn1IL7tLSjo0b/4t\n",
       "0BfYCHiJZGS0SjzEANvPShoI7A6cKemelnarW26ta6fVmLG2vyZp83yMkZI2yVbgHJz+o6YQrttt\n",
       "tx3bb7f9PPyChZMJE55h3/33YIklunPjDX+j14q9Cmuu1XctAF588T8ATJk8OZf37ZS6VdKIbRHn\n",
       "RBOdvS0++nAmQ7a9jL4b9GLWTHP8rz7HBlutzkpr9KTnit257Mmvz9535y9uyAfvfcSpx5zPNF4o\n",
       "/DvKxPbMfG/fEdgfOC4vw8efFW5WJpqeLc1j8p9l+5J2VOVlSSvbnippFeCVFvbZFBhu+zUASTeS\n",
       "fPOusT17f0mXAre0dbAwHoDc0G/YvkbSm8DRedNBwE/z3+G5bDjJweRq4FDggVZkpwNL1x1j7WxV\n",
       "jpC0G7Aa8DHj4Yc/+GGr9bz177cyfvx4AP7z7/9w+eWXse2229GvX795/anzXbsq3cmTX2Sf/XZn\n",
       "2rQ3OOar/8vjI0fw+MgR7LP3/oV0d911V3r16sXFl1xMjyWXZOgVQ+nbty/bFTTiqtKF6tq40doi\n",
       "zokmGqEtJPG/v9iVf41+if6b9WbjHfty3bnDuf3K0Tzz2GRs03eDlTjytO159LZ/8dffjqAnfehJ\n",
       "n9kaL7R6+y2dVn0BJPUAeti+TdJw4Lm86W7ga8CvJHUFegDDgCsknU3q+d8b+GIL+ncAZ0i6xvYM\n",
       "Sb2BD2y/2kYdbwaOID2zjgD+0sI+zwCnSlqC5Ay6EzAi/45VbL+U99uH5HvROrYX+g+pi+hJYDTw\n",
       "KLAJMBE4O5c/CqyV910jnxRPAncBq+XyocC+dZqfyvuMInVV/Zk0PDIW+EUr9fBHH85s9bPddttb\n",
       "krt06TL779DLh7b5nXn9VKXdUd1Xpr7V5uemP986h25teW7f+/CDj+b6ufeee73BBgO82GKLeeDA\n",
       "jf3ooyPm6XtV6VbVxo3WFlWdE/NyXnSmdqiyLaqs83ac+rHPP0dN8XvvfOA3Xnnb1/9yuD+7yA/n\n",
       "2D5k28s8c+ZM3/Crh1v8PrmHvqTnwFutlE8CXiO9EP4b+HSz7SvnZ8ST+R5/WC7vlR/gY/KzZYtc\n",
       "flJ+DowFhuSyPsCYZrpD8nfHkF5a++byW4GVW6jncsA/gH8CdwI9c/mqwK11+30LGJ+PfyWwaC7/\n",
       "fT7Wk7neK7XVXpFVsxUkTQRaHFqo8JiRVTMTWTWbKHtabo1Gu/Yjq2YTkVUzEVk1FxzhMNk6jXVn\n",
       "DYIgCIL5RPg8tILttRZ0HYIgCIKgMxI9D0EQBEEQtIswHhqU+0qIQvdJ0AV46KFhleiWEelvfupW\n",
       "2caN1hZxTjTRaG0xjUmV6AblEsZDg3L//R2KcP2J0wV4aHhVN8fGaosq27jR6hznRBON1hadLY5D\n",
       "0DJhPARBEARB0C7CeAiCIAiCoF1EnIdOhKT4ZwRBELSDiPOwYAjjIQiCIAiCdhHDFkEQBEEQtIsw\n",
       "HoIgCIIgaBdhPARBEARB0C4iPHUwG0nLkbKEjlnQdfkkIakLKX17X9s/krQGKSveiIK6WwNP2H5b\n",
       "0mHAQOBXtgtPlJe0JPCu7ZmS+gP9gdtsf1hUuyokdQdWtz2hBK1b2ths23uVcIzS6js/kLS87dcq\n",
       "PkbcgxqE6HloECSdKGkZJS6TNFrS/5Sge7+kpfNFOxK4VNIvStDdOj+AkHSYpPMkrVlUN+udk+u8\n",
       "qKS7Jf03PzyL6m4t6S5Jz0qamD/Pl1Dl3wCDgS/k9bdzWVF+C8yQ9BngZOA5UlrdMngAWFxSb+AO\n",
       "4DDgiqKiVbWxpL1IaY/vyOsDJd1cQPLcNj7nFattJfWt1x4raUz+W/s8KOkXkpYvIP2IpOslfU4l\n",
       "pnqt6h4UVExZudDjU+2HnOsd+B/gJmADYHQJuk/kv18GTs/LY0vQHQsI+AzpJvm/wP0ltcWT+e8+\n",
       "wGXAMrX2Kag7AdgNWAlYofYpQXd0/d/631CS7g+BL+flUSW1cU37eOBbJda5qjYeBfRs1sbjymiL\n",
       "Kj5V1hc4BzgLGABsCPwE+CXwbeCWArpdgF2AP5IM1bOAdUqobyX3oPhU+4lhi8ahZunvDlxle1xJ\n",
       "xn9XSasABwLfz2VlzN/9yLYl7Q382valko4uQReahtv2AG6w/WZJMTKm2b6tBJ3mfCCpa21F0orA\n",
       "rBJ0p0v6LvBFYJt8jEVL0AVA0mDScEvt/1ZGT2VVbfyh7WnNronCbSxpHdLDd32gWy62i2fdraS+\n",
       "mZ1sD6xbHyNptO2BksZ2VNT2LOBO4E5JnwWuBr4u6QngO7aHd1C6qntQUCFhPDQOIyXdCawFfFvS\n",
       "0pRzs/kRqev0IdsjJK0NPFuCbpUPtlskPQO8B3xNUq+83CEkbZIX75V0DnAj8H5tu+1RRSoLXEDq\n",
       "Leol6SfA/jTdJItwEGko5Eu2p2Zfip+XoAtwIvAd4Cbb4/N5cW8JulW18XhJhwKLSPoUMATo6MOs\n",
       "nqGknp3zgF2Bo4CubX5j3qiqvpAexlvYfhRA0uY0GX4fdVRU0gokY/Jw4GXgOOAWUu/iDUCfDkpX\n",
       "dQ8KKiSCRDUI2eluIPBcfmNZHujtTupYJGll0o1mhO1h+cG2ve1SxuTz+OibTg59PYClbE/toNZ9\n",
       "tPGmY3uHjtVyjmOsC+yYV++2/XRRzSqRtLbt5yrQvY8W2rpoG+dz4HukbnVID6MzbHfYqMy6o2xv\n",
       "LGms7QH1ZZ2xvll7M5LRs2Qumk7qPRoP7G77ug7q/pPU23C57Rebbfu27bM7qLu17QfnVhZ0LsJ4\n",
       "aBAk3W17x7mVdUD3Z8CZwLvA7aS3iJNsX1VAcxHgrjIeuq3o9yA5CK5h+yv5za2/7b8V1F3L9vNz\n",
       "K+ug9rLAGqTePkPxt21J+wFnk/wHav3ftr10Ed2s/QCwGvAYyXnyAdsd7vJuVCQNB7YhvVnfDUwB\n",
       "zrLdf4FWbB6QtAyA7TdL0juwueHRUlkHdEc3G2YpxUALqiWGLTo5kpYAugMr5rftGksDvUs4xP/Y\n",
       "/pakfYBJwL7AMKDDxoPtjyTNktTT9rQS6ticoSSv7C3z+hTSzb2Q8ZA1mt+wrgc2aWHfeUbSGcCR\n",
       "wPPMOdRU1Lj6GbBHFb0YtreVtDiwKbA9cKukJW0v1/Y320ZST9IwwLa56D7gR0UfcJL+AexfO9/y\n",
       "tfIH20VnJJ1Iuv6GAGeQrrsjCmpWWV8kdQP2Iw0jLJL9Kmz7RwWlvw00NxS+00LZPJF9arYk3dtO\n",
       "pskAXopyhoaCCgnjofNzDHACsCrpgVljOnBhCfpVOR/OAMZKuisvQ7qBDSlBe23bB0o6OIvOKOI8\n",
       "mocU1gN6StqXdBMz6UHRra3vziMHker8QQla9UytavhDKYbEtsDWpFkBt5J6IIpyOWkmzgGkdj6M\n",
       "ZAzuW1B3hXpD1fbrklYqqImbYnFMJxmAZVFJfTN/BaaR7hdlDIPsBnwOWE3S+cz5kC8S92MxmgyF\n",
       "perK3yL5BQWdmDAeOjm2fynpAuC7ts+o4BClOh/WcWP+1AwRUZ4H9fu5RyYJJwer99vYf270B/Yk\n",
       "Tfncs658OvCVAro1xgPLkpzMyuRxSX8C/gLUDBPbvrEE7ftJD5+zgL/bLtK+9axtu95QOE3SkyXo\n",
       "zpS0pnOALEl9KGe2RX/gm+S3+Fxs258tKF1JfTO9y+jBqGMK6Vz4fP5bu5anAyd1VNT2/ZIeAgbY\n",
       "Pr2Migbzj/B5aBAkPWF7o4q0S3M+bKbbneSX8EzhSs6puwvJ2Ww94C5gK+BI24VmA0gabPvhEqrY\n",
       "XHcz0tvgOJqMHLtglEJJV9S06sttH1VEN2v3JPU6bANsDswEHrFdaJaIpEeAU2wPy+tbA+fYHlxQ\n",
       "d1fgEpp6R7YFvmr79oK6Y0jBuEaR2gDS/25k69+aJ91K6pu1LwEuLNuZWtKipBlTpV7T+ZwY7HgY\n",
       "NRRhPDQIkn4OPAL8ucyLrELnw71IwWoWt91H0kBSAJjCYX2z/grAoLz6iO3/FtC6oI3NhYdaJD1N\n",
       "egCNo+nt0rbvL6JbNZLWIz3UtiWNTf/b9rZtf2uumhuRomAuk4veAI6wXbj3QSl+xiCSMVXonKjT\n",
       "HGm7kM9LG9ql1zfrPg30AyYyp7G6YUHdSq5pSReRhmWvB96pq28ZPWhBRYTx0CBIepvkuDWTpmGF\n",
       "wp71kq4jdUUebnv9bEwMt/2ZgrqjgM8C99Y8qSWNs71BEd06/c/Q1JVcm73QoZuNpCOZc3ilHtu+\n",
       "smO1nK3/mO3Nimi0otufFOZ65fy/2xDYy/aZJWg/T4oGOYz0djyiTJ8NpTgl2H6rRM3efPycKOSn\n",
       "Iek04FU+Hpfi9SK6Wbv0+mbdPi2V255UULeSa7rKHrSgOsLnoUGwvWQeXvgU5Tjx1SjV+bCOyiLo\n",
       "SRpKCr07vplmh4wH21eUUK22GCbpLOBmyg2M9DvgFOCivD4W+ANp6m1RPmV75tx3mzckHWb7Kknf\n",
       "oO4hoXSC2HahfBGSfkpyTH2KpuEFKO7keSSpvt+sKzMpWFuHqaK+kpbOxlhpBlkzKrmmbR9ZVCOY\n",
       "/4Tx0CBI+gpputhqwBOk7s6HSW8CRSjb+bBGlRH0tgDWL3uMNDuLfovkS1FrkzKc4zYmPXAGNSsv\n",
       "OlWzu+1Hazdz25ZUVtbLfpLqezU+A+xZoFeje/67FNWEHt6HNNxWlmMnALb7lKlXRxX1/QMpfP0o\n",
       "Pt7GhQ0eKrqmJa0OnE/ysYFkQJ3gZoGogs5FGA+NwwnAZsDDtnfI0wt/UoLuaaTgUKtJupbsfFiC\n",
       "7vEkp8b3STe1O0jz5MvgMdIDfnxJejWuAf5EmrZ6DKkdXi0qanv7ohqt8KqkfrUVSfsDL5Wk3bxX\n",
       "YwxwLR3s1bB9cV78h1uIJtjRStbxHGnqX6nGg6TFgK+R/D5MmoVykYunJi+9vrZ3z3/7lKXZjKqu\n",
       "6aGka+/AvH5oLtu5BO2gIsLnoUGQ9LjtTZWS0Ayy/Z6kp2yvV4J2ac6HdZoH2L5+bmUd1N6eNAQw\n",
       "lXIdwmqhiMfUtGrtXlC3qsBIa5M89rckOR5OBA4tOradtWvn2+zof2XM+FFF0QQl3UiKjno3c54T\n",
       "RZ1dLyO9ZF1JU1yKj2x/uaBuJfXN2iLFzdiaNKzwoO2biupWhaQnm/tYtVQWdC6i56Fx+I9SiOO/\n",
       "AHdJeoMUEbIMFic9fBYB1pNUhuPWd0ne03Mr6wiXkRJu1c9eKIOaQ+BUSXuQ5rcvW4JuJYGRnHJP\n",
       "7JidXLuW6XxIyb0aqj6a4M35U3Zckc2aGaV35+mbRamqvpCcaNcm9Q4IOFbSzra/3hExSb+yfYKk\n",
       "W1rYXHjKMfCapMNIPVsCDgZKmXkSVEcYDw2C7X3y4mlKyYWWJg03FKJsxy01RaPrrXKj0dXziu2b\n",
       "S9Kq58e5l+AbpEyYS1MgCE4dlQRGUko+9mNSUKBd89TKwbYvK6pNyph4MdBf0hRSaO0vFtCrNJqg\n",
       "7StUTVyRjyT1s/0vmN3b0+HMlDUqrC8kX5r1nFJo12YzPFVAr5bM7twWtpVh8HyJdL3VnGaHk7KX\n",
       "Bp2YGLZYyFHKlDegLMet7Fg3kJRm91SajIe3SFO83ijhGL8hhUy+hfIjK5aOqguMdDupB+N7tjdU\n",
       "CuIzuozpsJozP8JypP+fXTA/gqQ+ZQyrtKBbVQyCHUltPDEX9QGOsn1PZ6xv1v4bcFytnfPUzQtt\n",
       "71FQd0ng3dosHEldgW62Z7T9zeCTSPQ8BKU6bjkF+3lS0jUlOJW1RndSfXdpVl7IeKgwbsKxwJW5\n",
       "VwPgdcpxSl3B9p8kfRvA9oeSCr8VZ+rzI0wpSRPgHaWAZ2XPaDmNNAvn3iw4WlLR2QXYvlvSOqQQ\n",
       "5gYmlGRon0YF9c0sDTwtaQSpzpsDj+VhhyLDDHeT0sq/nde7k5wmt2z1G/NA7s35JTA413c4KbNv\n",
       "4Wy2QXWE8RC8CzwhqWzHrX+2EC/Ctsu4oR9ZVKMVqoqb8AwpA+bapB6TN0l5AooOXbwtafnaiqRB\n",
       "WbsMys6PUKOSGS2UHINA0o7ZcNiP9ECrCffLPkFFe7kqi4MC/CD/bSnwWZGu5sVt1wwHbE/PQy9F\n",
       "uZaU5K82tHcQ6brbogTtoCLCeAhqjlv1lOJoVrfcjTSuvXwr+7aLHJfiaJreXmvR+b5UULqquAn1\n",
       "b/GTS9Cr8Q3S0M1akoYDK1JeNsLhkjZ0yfkRgOVtXyppiFN47vslPV6CbtkxCLYlvWnvScvXQ1Hj\n",
       "obI4KLbvk7QKqcdhFvCYS8hVA8yQtIlzXg9Jm5JePoqyhO2r6tavlnRKCbpBhYTPQzDfKGNKXta5\n",
       "AXiaNB/8dJIj39MlTMu7jTSX/XrbA/MMg6Nt71ZQt7Sw3M10u5GcXPuT3i4nAF1sl5GGuar8CI/Y\n",
       "HiTpTlJgoCmk9l67oG534Ps0DWXdAZxRRltUQZ4h8z0qqK+kL5N6H2qJ4rYnTQ0u5EirlODtjzTN\n",
       "ulkFOMh2IeMvO21PI/U2QOp5WJbUW1dKKPCgfMJ4WEiRdL3tAySNbWFzGQ+JTWh6Y+sCbAp8rYy5\n",
       "27V4A7V4DNlR8EHbhbo589jrxaQx3GnkGQZFHfxUXZbDjxljJRpofVoqL6Et9iTly1idphktpxWZ\n",
       "PSNpEeAu20UjdrakPUc47cybwEjbT5R9vDLITtCDbb+W15cnBZdbpwTtxYCazoQy/JokTaL13s5S\n",
       "hjqD8olhi4WXE/LfPSvSP5emG8JHpJgUB7a6d/uozbB4U9IAUrCoFUvQnUzyrL+XphkGh5NmjrSb\n",
       "OsOsK3CUpFLe4nOX9KpAd0kb0xQjYGmawkAXoooZEVm3FitgGumNuAzNjyTNktTT9rQyNOvYhGT4\n",
       "3kJq591JvjDHSrrB9k/bIzYfYiZAipHwdt3625QQN0FzRtsEuE9SGdE2vwXcbvstST8gzdY60wXT\n",
       "ngfVEj0PCzm5+/Q92zPzbIP+wG0VzpQoTO6WvZGUHGsoKW7AqbYvavOLc9e9gy8YzggAAA2nSURB\n",
       "VCbfhNkxL2y3NL99XvT6tLW9ow9oSUeQHA03Beq7jKcDV3TWKatQ3YwWSTeTHjp3AbWpg4UdfyUN\n",
       "A3arOQrm6Yp/B3Yl9T6s2069TWyPVIqS2hy7hDTtkq4CNiD52kByzh2TP3YHk5CpumibY20PyFOY\n",
       "zwR+Trqew2GyExPGw0KOUprdrUljjA+R8kZ8YPvQgrorkEIyb016Kx5GGnd9rViN5+hKrvcifxN4\n",
       "vEhXclW+CVUhaX/bNyzoerQHSQ+QZ7RkvxIB42yvX1D3yLw4R8RGF0+n/gywoXM6ckmLA2Ns91cL\n",
       "obbboVtZzASlNOLQSvRK26d3UHd22Pa2yjqgWxuGPBsYa/uaIm0bzB9i2CKQ7XckHQ38xvbPVEL0\n",
       "Q5Jj1f2k6VcCvkCaordTCdr1XcmQpv2NBY7pSFdyHVXNMKiERjMcMpXMaHF1ERuvAR6V9BfSebwn\n",
       "cG3usSsStbGSmAkAtk8DkLRUXp9eVDNTSbRNYHL2C9oZODs7AncpQTeokDAeglregUNJ0x+hnAt3\n",
       "Zdv1GffOlHRQCbqQnO02rutK/iGpK3k70pBDe8ehK/FNCFqkkkygqovYCJQWsdH2GUqRPGsP9WPq\n",
       "ZhcU6Z2rKmYC2Q/o9+Sp0ZJeBY6wPa6g9CnAPfn6AFiTFFq6KAeShoHOcYp9sUo+VtCJCeMhOBH4\n",
       "DnCT7fH5beLeuXxnXrhT0iGk3gZISaHuLEEXknPkB3XrHwIr5R6Ujkx1q8ppNPg4x5EygdZyZkyk\n",
       "2EO4xmlUF7GxGzDd9uWSVpTU1/bEuX6rbd6pKGYCpPY92fa9WXt7mrKvFmF5kp9RH5IfxWCSj1Ah\n",
       "8lDNn+vWX6K81PJBRYTPQ1AJkt4mdcXWouZ1YU5HtqULaJ9KGg6p70q+meRodUlRf43OjuaMevix\n",
       "C7izOkzmcf2f2v5mHvPv4pIygUp61PYWmjOFeBnj8aeRhsn6215HUm/gOttbFdRtHjNhZeDgojET\n",
       "snYlKa7DsTGoJ3oeFnIktdTLYBfMNWB7ySLfn4t2rSt5K9LDs6yu5EahFvWwF+ltspakaQdSlMJO\n",
       "aTzkGT1bS1J9l31JVBWxcR/SLI6RALYn13wJCtI3665JMoRr0SDLYGI2sK8iGZiHkmKWFKU2A2kP\n",
       "4He2/ybpjLa+EHxyCeMhqB9brGVSLCW5Up6G14e686yst2Lbj5Fmhix0OOf2kHQXKfXyS3l9FdI0\n",
       "us7ME8BfJV0PvJPLXMJ5cRwpwuT7pEiFdwBlPNjetz2r5uCZHSXL4FTb10lahmT0/Rz4LeXkc/gS\n",
       "KfJqrU2HUY5vQjg2BrOJYYvgY0h6zPZmc9+zTY2hpPHR8dS9Udk+qmD1gkyeRriu80UsqQvwlO1P\n",
       "L9iatY6kK2h5qKVD54Wkq2wfJulE278sWr9m2iKlle9NCiN9FukhfK3t8wtqN9z0xGw47Uqaqvps\n",
       "NlYH2C7LlyloIMJ4WMiRtFzdai2M9K9s9y+o+xSwvuMEqwxJF5JCBV9L6p4+CHjW9vELtGLzkXye\n",
       "7QTcTgsRK10gL0I2HsYCJwG1DKN32L6ro5p12reSIpruTBq+eA94tKhfQtbuD3yTOXv9Cg9FBkE9\n",
       "YTws5GjOuPK1MNKn236woO6VwM9sjy9UwaBV8sNtH1K4YAMP2L5pwdaqbfJ5cYJzGGlJywLnuoMZ\n",
       "USUNIYVMXouUZKseu2BehFzfX9seUUSnBd3K3uIljSENgYyiyU/BjnDPQYmE8bCQk+eWf50UCXIW\n",
       "8CApWFSh7H55etjNpLwTETMhAJq66+dW1gHdi2wfW6x2LepOIGUXfYE5Zwt12vNY0kjbmyzoegSf\n",
       "bMJ4WMjJjmtvAVfTFAlyGdsHFNR9jtTdO445fR4mFdENmshTNs8GVqIpVHehabBVk6OX7lAbTsjD\n",
       "ZvfbHlCC9jZAP9tDJa0ILFk0HoMqyi5aBbktRUor/yrJYbJmuEdq66BUwnhYyJH0lO315lbWAd2H\n",
       "bQ8uVrugLbKBtoftpxd0XeYVSYcD3wOuIz3oDgB+bPv3BXVPI/nrrFMXj+F624XDPTcKitTWwXwk\n",
       "pmoGoyQNtv0wgKRB5DntBRkt6VpS/olaNMgypuQFTUxtJMMBwPbvJY0kTU8E2Md2kRwRNVqKx1BZ\n",
       "rJHOiO0+AJIOpIUU1wuybsEnjzAeFlLq8jksAjwk6T+kt5Y1gAklHKI7yWjYpVl5GA/l8bikP5Ei\n",
       "bTaSgbYcMKM2vFBSuOeq4jE0IrUYElsDnyXl/PgN5cSQCAIgjIeFmbbyORQey6oFMgoqZRlSPoSG\n",
       "MdDqwz0DQ4HFSP42HQ73nGed/E3SxUBPSV8lxWO4tHCFG5PmkSBvlRQ9D0GphM9DUAmSVgfOJ83i\n",
       "AHiANEXvxQVXq2BBkx0mBwIjy8pBUWU8hkakyhgSQVAjeh6CqhgKXENKtwspvv5Q0g0tKAFJS5DS\n",
       "qK8HLEHuMepozIT5ROnDC7ad/SjetP3NonqfACLFdVA5EZc8qIoVbQ+1/WH+XEFK5BSUx1WkaZq7\n",
       "AvcBqwNlJ5wqjVaGF+6mnOGFQcDDkp6XNDZ/xpSg23DYnmH7z7afzesvRQjpoGxi2CKoBEn3kHoa\n",
       "aqGTDwaOsr3jAq3YJ4i6/AhjbG8oaVHgQXfSFMkVh3vu01J5Z4zHEASfBGLYIqiKo4ALgfPy+vBc\n",
       "FpRHbYbFm5IGkKJ5rrgA69MmVQ4vhJEQBPOXMB6CqvgRcLjtN2B29LufU05q4CDxu9yu3yeFAl+S\n",
       "lAWyMzMI+KKkhgn3HATBx4lhi6ASqsphEDQ2MbwQBJ8MouchqApJWq5ZDoOuC7hOwQImjIQg+GQQ\n",
       "xkNQFeeSvN/nyGGwYKsUBEEQlEEMWwSVIWl9UnhcA/eUlMMgCIIgWMCE8RAEDUqzBEinAhsDZ9ge\n",
       "tYCrFgTBJ5wIEhUEjcup2XDYGtgRuAz47QKuUxAECwFhPARB49I8AdLfSImmgiAIKiWMhyBoXCZL\n",
       "ugQ4CLhVUjfimg6CYD4QPg9B0KDkpFK7AmNsP5sTIA2IPAZBEFRNGA9B0GDkmBmtUoutEQRBUBVh\n",
       "PARBgyFpEmn6q4A1gDfypmWBF2z3XUBVC4JgISHGR4OgwbDdJxsIdwF72F7e9vLA7rksCIKgUqLn\n",
       "IQgaFEnjbG8wt7IgCIKyifDUQdC4TJH0feBq0hDGF4DJC7ZKQRAsDMSwRRA0LocAvYCbgBvz8iEL\n",
       "tEZBECwUxLBFEARBEATtIoYtgqDBkPQr2ydIuqWFzba913yvVBAECxVhPARB4/H7/PfcFrZFV2IQ\n",
       "BJUTxkMQNBi2R+bF6XXLAEjaYwFUKQiChYxwmAyCxuV3kgbUViQdAvxgAdYnCIKFhHCYDIIGRdJa\n",
       "wA2kKZrbAIeTgka9uUArFgTBJ54wHoKggZHUH/gL8AKwr+13FnCVgiBYCAjjIQgaDEljmxX1AqYB\n",
       "H5BmW2w4/2sVBMHCRBgPQdBgSOrT1nbbk+ZLRYIgWGgJ4yEIgiAIgnYRsy2CIAiCIGgXYTwEQRAE\n",
       "QdAuwngIgiAIgqBdhPEQBJ0QSTMljZY0VtJ1kpYooHWFpP3y8u8krdvGvttJGtyBY0yStNy8ljfb\n",
       "5+12Hus0Sd9obx2DICiPMB6CoHPyju2BtgeQpmAeW79RUntCyzt/sP0V20+3se8OwJbtrSyt59SY\n",
       "F4/s9npth5d3ECxgwngIgs7PMKBf7hUYJumvwDhJXSSdI2mEpCclfRVAiQslPSPpLlIcCPK2+yRt\n",
       "kpd3lTRS0hOS7pK0JnAMcFLu9dhK0oqSbsjHGCFpy/zd5SXdKWmcpN8BmtuPkHSTpMfzd77SbNt5\n",
       "ufwfklbIZWtLui1/54EcECsIgk5AJMYKgk5M7mH4HPD3XDQQWN/2C9lYmGZ7c0mLAw9KuhPYGFgH\n",
       "WBdYGXgKuCx/34AlrQhcAmyTtXranibpIlLCrfPy8a8FfmH7IUlrALcD6wE/BB6wfaakzwFHz8PP\n",
       "+ZLtN/IQzAhJN9h+A+gBPGb7ZEmnZu3jc/2Osf0vSVsAvwF27GBTBkFQImE8BEHnZAlJo/PyA8Dl\n",
       "wFbACNsv5PJdgAGS9s/rSwOfIuW5uNYpiMtLku5ppi1gEOnh/wKA7WnNttfYCVhXml20lKQe+Rj7\n",
       "5O/+XdIb8/CbTpC0d15ePdd1BDAL+FMuvxq4MR9jS+D6umMvNg/HCIJgPhDGQxB0Tt61PbC+ID9E\n",
       "ZzTb7zjbdzXb73PMfRhhXv0GBGxh+4MW6jLXoYq6/bcn9RoMsv2epHuBbq0cz6Qh1Teat0EQBJ2D\n",
       "8HkIgsblDuDrNedJSetI6k7qqTgo+0SsQnKCrMfAI8C2tVDXdTMipgNL1e17JzCktiLpM3nxAVI2\n",
       "TyTtBiw7l7ouTTIG3pP0aVLPR40uwAF5+QvAMNvTgYm1XpXsxxE5O4KgkxDGQxB0TlrqGXCz8ktJ\n",
       "/gyjcrKs3wJdbd8EPJu3XQkM/5iQ/V/gq6QhgieAP+RNtwD71BwmSYbDptkhczzJoRLgdJLxMY40\n",
       "fPECLVOr7+3AIpKeAs4CHq7bZwawef4N2wM/yuWHAkfn+o0D9ppL+wRBMJ+I3BZBEARBELSL6HkI\n",
       "giAIgqBdhPEQBEEQBEG7COMhCIIgCIJ2EcZDEARBEATtIoyHIAiCIAjaRRgPQRAEQRC0izAegiAI\n",
       "giBoF2E8BEEQBEHQLv4fr+GMalQVhzIAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cadaa10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm = sklearn.metrics.confusion_matrix(dmoz_encoder.inverse_transform(y_test), dmoz_encoder.inverse_transform(predicted), dmoz_encoder.classes_)\n",
    "analysis.plot_confusion_matrix(cm, labels=dmoz_encoder.classes_, title=None, cmap=plt.cm.Purples, scores = sklearn.metrics.f1_score(y_test, predicted, average=None))\n",
    "plt.savefig('confusion_main.pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Confusion matrix of the second guesses, first guess was wrong"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAbcAAAG3CAYAAAA3lxvrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8FPX9x/HXmyuBhEOUQ1AIeKOiiKKiHK1Xbau1Qqs/\n",
       "pWJBLNpWaT2qpVasB97aarVaDyjYWrFYTxQ8uBREuQ/rGSKnRAFFIFz5/P7YCQkh9+4XMsvn+Xjk\n",
       "sZPZmfd+9juz+WZmd+crM8M555xLJ3V2dwHOOedcqnnn5pxzLu145+accy7teOfmnHMu7Xjn5pxz\n",
       "Lu145+accy7t1NvdBbhikvx7Gc45Vw1mprLme+dWy7y6975VWm7UhnX8rFHjKi17xucfVPnxh906\n",
       "nGFDr6/Ssl9/v1eVc4cvXsn1Oa2rvHzTVyZVednq1Fwd6Z4bavtlnXBolXP/NHUBfzz5iCotW++P\n",
       "j1Q5t7a08e7OrW52bXhNV6deZTUr9z4/Lemccy7teOfmnHMu7XjnFlOd6zcIktu7x8lBck9ulh0k\n",
       "F8LV7LnFQm2/Xu1aBsmNWxuH3HZxe02nql75tSVrD0lW1ffcqqM677lVR3XOz1dXdd5zczUTavtV\n",
       "5z236qjOe26uZuL2mlZWs3I/UOJHbgFJGiKpYSoze856l9NXLd3+c+Kb41OS+/a06XTu1p3M5q3o\n",
       "elIvZs+Zm5LcOm3bkXXf32n8/Fs0eXkqje56GO3bNiXZoWr23IRQ227I67No+8B/aXDHvznn2Skp\n",
       "qLRY3No4VG6o7Di9nr1zC0RSXeBKoFEqc82MNe9MY+6gy5g76DI+uumWpDMLCgroc8FFrN+wgfvv\n",
       "HM4Xq/Lp268/hYWFSWdrnxYAbHriYTaPe4F6XY+n0TU3Jp0bqmbPLRZq2wk477B2ieky/+eumbi1\n",
       "cchtFyo7Tq9n79xqSNJzkt6XtEDSoGjet5LuljQH+D3QBnhL0huS6kgaIWm+pHmShtTwcdn4+VK+\n",
       "fP0Nvnj+Rb6aNDnp5zJu/ARW5edz+aCBDL5kAAP79yN3cR4TJyf/X/W2BXNZ/5tBbH7+GQoevBNb\n",
       "9w11cjrW2po9t1iobXffqcdw5XGHJJ1TWtzaOOS2C5Udp9ezd241N8DMjgWOA66Q1JzEUdp0Mzva\n",
       "zG4GlgO9zewUoAvQxsyONLPOwJM1eVAzo815fTkl9yN6L5pL2wvOT/qJ5C7OA6BtmzY73Obm5SWd\n",
       "zbat2yfrHtIJNW7C1rmzko4NVbPnlhBo2wGEeKc/bm0cctsFy47R69k7t5q7MjpCmwbsBxwEbAP+\n",
       "U87ynwIdJf1F0hnANzV50KWjnmLOgEuZN/hXFG7aRKd77iBz//1qElWuEB8yqtMuh0a33k/himUU\n",
       "/OX2lOeH+mCU54bfdqHEqY1D5obIjsPr2a9QUgOSegOnACeYWYGkt4BMoMDK2SpmtlZSZ+B7wGDg\n",
       "p8DA0suN2rBu+3Tn+g04qn7GDvfn3v/A9ummR3em/eBLyerYkYIlS2v8fDp2yAFgydJlACxbvjwx\n",
       "Pyenxpkl1Wnfkaz7HoWCAtb/9lJszeqkM0PV7Lk7CrHtQolbG4fcdiGzd+freeLkKUycMrVKmf5V\n",
       "gBqQdDZwiZmdLekwYBaJTuslM2tcYrl5wNlmtljS3sAWM/tG0hHAKDPrUiq3wq8CZHc6jIOGXseX\n",
       "r7+J6tXjgKuGUCczkyndurN5VX6561X2VYBNmzbR/tAjadSoIdcMuYJb7ribzMwMPpk/G1Xwjn9V\n",
       "PjasFq3IfuSfqEkTCh7/K/bFCgC2vPlahetV9rHhmtZcmT0pt7LtV9NtV9lXAV75dDkL879m6KR5\n",
       "HNmyGb885iB6tmvBgXtVfDm5yr4KUBvbeHfkJpMdap+Ail/TNa3XvwqQeq8C9SQtAm4jcWoSdn4r\n",
       "4VHgVUlvAG1JfLhkNjAKuK66D7r5yy9RHXHg767moD9cz8bPP2dO/4EVdmxVkZGRwZjRI8jOymLI\n",
       "tdfTulVLxowakfQLDKBO2/1Rs71AdcgcdAUN/zCchkNvSzo3VM2eWyzUtrt3xocMnTQPScxftZbL\n",
       "Xnufacu+TDo3bm0cctuFyo7T69mP3GoR/xJ3Mf8Sd3j+JW5XWtxe037k5pxzbo/inZtzzrm0452b\n",
       "c865tOOdm3POubTjnZtzzrm0452bc865tONXKKllQnxs/8EWyV/YtCyX3X9ZkNw42vbUXcGy6154\n",
       "TZDcuH3dIo5tHKrmUPVmX/jDILkAW67+v2DZZfEjN+ecc2nHOzfnnHNpxzs355xzacc7N+ecc2nH\n",
       "OzfnnHNpxzs355xzacc7N+ecc2kn7To3STmS5ieZ0UbSmFTVlEpvT5tO527dyWzeiq4n9WL2nLk1\n",
       "yulx13AG5H7AL9fl84MxT22f33fieC5dsZhfrPqc8955i3anfTepeoc8/Rptrrqf+r+4lR89+O+k\n",
       "skpLVVvsitw4tkPIbG/jhLjVHKrej9eu57Tn32XfJ19n78fG8/0XZ/DZNxuSyky7zi0VzGy5mf1k\n",
       "d9dRWkFBAX0uuIj1GzZw/53D+WJVPn379aewsLAGacZHY8ZGk8Vj+q2c/i6Tr76O9+64h+adDqP3\n",
       "/XcnVbMQ53frtH06VVLbFuFz49YOIbO9jYvFreZQ9a7YUADAjccdRP9D9+ONpV8x+K2kjlHStnOr\n",
       "J2m0pEWSxkhqJGmxpOYAko6V9FY03UvS7OhnlqSskkd/ki6WNFbSOEkfSbqj6EEknS7pHUkzJT0j\n",
       "KSuaf7ukhZLmSrozmvcTSfMlzZFUo0tDjBs/gVX5+Vw+aCCDLxnAwP79yF2cx8TJU6qdNeWa3zP3\n",
       "gYd3mj/1uhtY/Op4lk6cwrZNm1i/YmVNSt3uvvNP58pTj08qoyypbItdkRu3dgiZ7W1cLG41h6r3\n",
       "xFZ7MeFHxzP4iPbce3In9sqozwdrvk0qM10vv3UIMMDMpkl6HLgcKG/I8auAy6NlGwGbyljmKOBo\n",
       "YDPwoaS/RMsNBU4xs42Sfgf8VtJfgXPM7FAASU2ijBuA081sRYl51ZK7OA+Atm3a7HCbm5dXkzgo\n",
       "Ywj3Bk2bMHDxhwBsWb+BqdfdULPsEkKM9p7ytgicC/Fqh5DZ3sY7ilvNIeqtX7f4OGvmqq9Zs2kL\n",
       "5x7QOqnMdO3clpjZtGh6NHBlBcu+Ddwn6SlgrJkt085/9N8ws3UAkhYBOcBeQCfgnWj5BsA7wNdA\n",
       "QdSpvhT9FD3OSEnPAGPLK2bYrcO3T/fucTK9e/Yot/AQO9mWdd/y/Fl92OuQg+l+y42c8Y/H+Mfh\n",
       "x+xw6rI2CtEWIXNDCVmvt3FC3OqF+NT8vzXfcu64mXRo0pD7T+600/2Tln3FpOWrq5SVrp1byS0p\n",
       "oBDYSvFp2MztC5rdIekl4AfA25LOYOejt5K/b6O43SaY2QWlH1xSN+AUoC/wKxJHd5dF838AzJTU\n",
       "1cx22krDhl5f7pPq2CEHgCVLlwGwbPnyxPycnHLXqS4rLGTpxMksnTiZA398Nm1OOpHMvZpRsHpN\n",
       "yh4jFUK1xa5o41QKWa+3cULc6oV41rxo9TrOeGEGjerV5bWzj6dVo4ydlunVdm96td17+++3vP9J\n",
       "uXnp2rm1k3SCmU0HLgCmAo2BY4FXgT5FC0o6wMwWAgslHUfilOa8SvINmA78NVr/0+j9tjbAciDL\n",
       "zMZJegf4tMTjzABmSDoT2A+o2r8gkTNPP42WLVrw8GOPk52dxeMjR9Mhp32FR3flaX/Gaex9+GEA\n",
       "ZO+/H53690N169Lq2GNYMX0GjfdrS+vjj+ObvM+T6thenvcxC5fnA7Bk9dc8MXUOPQ9ux4Etm9c4\n",
       "E1LbFrsiN27tEDLb2zi+NYeqd8m3Gzn9hRms3rSFK47KYfrKNUxfuYbzDmpT48x0/ECJAR8Cv4xO\n",
       "ITYFHgJuAv4s6T0SR3FFR3dXRh/0mEviPbVxJXKKbnc6pjezL4GLgX9F675DomNsDLwYzZsC/CZa\n",
       "5U5J86IPqrxtZpV1oDvJyMhgzOgRZGdlMeTa62ndqiVjRo2gjNOolepy5S858aYbMDP2OeJwej9w\n",
       "Lw0aZ9Pq2GPoec/tdL7sUpZOnMzLP9npwLRa7h3/LkOfewsh5i1bxeBRrzDt06VJZUJq22JX5Mat\n",
       "HUJmexvHt+ZQ9X729QbyN26m0Iw/TP+Ii16fS/83kvvqguJyLnZPIMls/dqU58ZxPLdQ41WFEsex\n",
       "xuImjm0ct/HcQrZx4exZKc9s8PA4zKzMHjsdj9ycc87t4bxzc845l3a8c3POOZd2vHNzzjmXdrxz\n",
       "c845l3a8c3POOZd2/KsAtUiorwKE8kTrA4NlD1hZ/pUHaqMtV//f7i6h2urf/a/dXUKtEWr7eRsX\n",
       "C9HG/lUA55xzexTv3JxzzqUd79ycc86lHe/cnHPOpR3v3JxzzqUd79ycc86lHe/cqknSUdF4bLvF\n",
       "29Om07lbdzKbt6LrSb2YPSe5YSFC5zZo2oSejzzIhZ9/ws+W5XLmK8+nJBfi1Ra/mbqI/Ua8QcbD\n",
       "4zjnlfdTUOWuyY5TG4fMDdXGoeoNmR2XNvbOrfq6AN+vzgqSUjIobEFBAX0uuIj1GzZw/53D+WJV\n",
       "Pn379aewsLBW5gKc/Nc/0/Enffho5Cim/24o33z6WdKZEL+2EHDegftG08mPA7YrsuPWxiH34xBt\n",
       "HLJeb+MYdm6SLpI0V9IcSSMltZf0ZjTvdUn7R8uNkPSQpGmSPpXUO1p+kaQnS+R9K+leSQui9feJ\n",
       "5k+U1DWa3kdSrqT6wJ+A8yTNlvQTSVmSnpD0rqRZks6O1rlY0guS3gAmSGotaXK03nxJJ1f3uY8b\n",
       "P4FV+flcPmgggy8ZwMD+/chdnMfEyVOSatNQuY1z2tP+h9/nszH/4f2bbuWTfz7N27/+TeUr7saa\n",
       "Q+Xee3InrjiqQ1IZuzo7bm0cKhfCtHHIer2NY9a5STocGAp8x8yOBoYADwJPmtlRwFPAX0qs0szM\n",
       "TiQxGvYLwJ3A4cCRkjpHyzQC3jOzI4BJwI3R/J1G4DazLcANwNNm1sXMxkT1vGFmxwPfBe6S1Cha\n",
       "pQvQx8y+A1wIvGpmXYDOwJzqPv/cxXkAtG3TZofb3Ly86kbtktxmhx4MwD5dj+GilXn8bMVijh12\n",
       "Q1KZReLWFgAhrwYUIjtubRxy20Hq2zhkvd7GkJLTZbvQd4FnzGw1gJmtkXQCcE50/2gSHRgkOqYX\n",
       "o+kFwEozWwggaSGQA8wDCoF/l1h/bCU1KPopcjpwlqSro98zgHbR408ws6Lrac0AnoiO/v5rZmWe\n",
       "qB526/Dt0717nEzvnj3KLSTUH8tU5dZpkAFAvYYNeav/JXS6dCBHDvkVy96ayIpJyf+nV1Jtb4t0\n",
       "ELc2jtu2i9s/PyFzyzNp2VdMWr66SsvGrXMzKPNkbHknaDdHt4XAphLzCyn7uYvio7WtFB/ZZlZS\n",
       "17lm9vEOQdLxwPqi381siqQewA+BEZLuNbNRpYOGDb2+3Afp2CEHgCVLlwGwbPnyxPycnErKq1io\n",
       "3HXRf3lfTJvO5y+Po2HLFuzbqweNc9on3bnFrS3iKG5tHLdtF7LedG3jXm33plfbvbf/fsv75V+D\n",
       "Nm6d25vAc1HHsFpSc+Ad4HwSR10XApOrmVkH+AmJo7cLgKK/uouBY4H3gb4llv8GaFzi99eAK4Bf\n",
       "A0jqYmazKdXhSmoHLDOzxyRlkDhluVPnVpEzTz+Nli1a8PBjj5OdncXjI0fTIad9hUd3uzN39bz5\n",
       "rFm4iDa9e3Jw/34c1O//KNy6lVXTZySVG7LmULmv5K1i4ep1ACz5diNPfrCEHm2ac2DTrKRyQ2bH\n",
       "rY1D5UKYNg5Zr7dxzN5zM7NFwK3AJElzgLtJdCo/lzSXROd2ZclVypkuaT3QTdJ8oDeJD4wQZV8m\n",
       "aRawd4n13wI6FX2gBLgZqC9pnqQFwE0lHq/kY/YG5kR5PwX+XJ3nDpCRkcGY0SPIzspiyLXX07pV\n",
       "S8aMGoGU3CeLQuUCTBzwC77JXcwJd95Gg6ZNmfyLX7L2w4+Szo1bW9w3J5c/TP8ICeZ/tY7LJi1g\n",
       "2srUjAARKjtubRxyPw7RxiHr9Tb2IW+QtM7MGle+ZHg+5E0xH/ImPB+OpZgPeROeD3mz6+3Zvbtz\n",
       "zqWhPb5zM7Mmu7sG55xzqbXHd27OOefSj3duzjnn0o53bs4559KOd27OOefSzh7/VYDaRJJNa7Vf\n",
       "ynNP+GxByjND+0uLjkFyr8hPzagEzrndT1nN/KsAzjnn9hzeuTnnnEs73rk555xLO965OeecSzve\n",
       "uTnnnEs73rk555xLO965xUj7W27imPmzOH55Hof844mUZr89bTqdu3Uns3krup7Ui9lzyhwovNbk\n",
       "Nj2gI+e+8l8G5X3E4BWLOeeFZ2mS0z4l2XFri1C5IbM9N2xuyOy45HrnFidmfPXc80WTKVNQUECf\n",
       "Cy5i/YYN3H/ncL5YlU/ffv0pLCyslbkA2fu2BmD6LbezaPQ/2f87vTjloWoPkbeTuLVFyDaOW82e\n",
       "G9+aQ+Tu0Z2bpBsk/U/SFEn/lHSVpEskzZA0R9KzkhpGy46Q9JCkaZI+ldRb0khJiyQ9WSLzdEnv\n",
       "SJop6RlJWdH82yUtlDRX0l01qTfvhmGsePSx1Dz5EsaNn8Cq/HwuHzSQwZcMYGD/fuQuzmPi5CmV\n",
       "r7wbcgFWTJ/B2O+fw/y/P8Hka35PwZq1ND/04KRz49YWIds4bjV7bnxrDpG7x3Zuko4DzgU6A2cC\n",
       "x5IY222smXUzs6OBD4CB0SoGNDOzE4HfAC8AdwKHA0dKOkrSPsBQ4BQz6wrMBH4rqTlwjpkdbmZH\n",
       "kRi9u6Z113TVcuUuzgOgbZs2O9zm5uXVylyAwq1bt0+37HI0mXs1Y/nUaUnnxq0tQrZx3Gr23PDZ\n",
       "ccqtl1RF8XYS8F8z2wxslvQiIBId1S1AUyAbeLXEOi9GtwuAlWa2EEDSQiAH2B/oBLwTdUINgHeA\n",
       "r4ECSY8DL0U/tVaoS7KFyN3r4IP44Zin+GZxHhOvvi7l+XFqi5C5IbM9N2xuyOzanLsnd25GojMr\n",
       "7UngR2Y2X1J/oHeJ+zZHt4XAphLzC0m05TZggpldUDpUUjfgFKAv8KtoeiePffv19uljGmRwTIPM\n",
       "Kj6dmuvYIQeAJUuXAbBs+fLE/JycWplbpPmhh/DjV55j64aNjP3+OWxclZ90ZtzaImQbx61mzw2f\n",
       "vbtzJ06ewsQpU6uUucdeOFnSscAjQHegPolTiI8C15E4+loLvAIsMbMB0ftqL5nZfyTlAC+a2ZFR\n",
       "1pMkjuomRznfNbNPo/fb2gDLgSwzWyWpKfCpme1TRk0VXji52anfpdGhh7D/769jw6IPWPn4k3wz\n",
       "7V02LV5c4XOt7MLJmzZtov2hR9KoUUOuGXIFt9xxN5mZGXwyf3ZSp0GTya3swsnZbdtw/tQ3yNhr\n",
       "L6b/6Ta++XwJAB8/+1yF61V24eTa2Ba7IzeONXtufGuuaa5fOLkMZvY+iffN5pHoxOaTOH14A/Au\n",
       "MJXEe247rFbOdFHml8DFwL8kzSVxSvIQoDHwYjRvCon37Kpt38t+wf6/vw7MaNTpMDrefQeNj+ta\n",
       "k6gdZGRkMGb0CLKzshhy7fW0btWSMaNGJP0CC5UL0LRjBxrusw+qU4fuN93A9558lDOeeCTp3Li1\n",
       "Rcg2jlvNnhvfmkPk7rFHbgCSssxsvaRGwCRgkJnN2Y31+JA3ER/yxjlXmYqO3Pbk99wAHpXUCcgE\n",
       "RuzOjs0551zq7NGdm5lduLtrcM45l3p77Htuzjnn0pd3bs4559KOd27OOefSjnduzjnn0s4e/VWA\n",
       "2kaS2fq1Kc/99vwzUp4JkP30a0FyIVzNU99J/rp9Zfne5/8Lkgvh2iKUkPuFcyX5l7idc87tUbxz\n",
       "c845l3a8c3POOZd2vHNzzjmXdrxzc845l3a8c3POOZd2vHMDJOVImp+CnIslPRBNnyPpsBL3TZSU\n",
       "9Pg0b0+bTudu3cls3oquJ/Vi9py5yUYC0GDQb2n0j1fI+u87ZP7h7pRkQvzqBTjhtZc5NfcjTs37\n",
       "lO5vjmef734nJblxa4uQbRyqLTw3fHZccr1zS62SXxo8h8Sgp2XdVyMFBQX0ueAi1m/YwP13DueL\n",
       "Vfn07defwsLCZKPBjK2Tx2+fToW41Vtk7Yz3WHTdUD695z6yDzuUTnfdnnRmLNsiUG6otvDc+NYc\n",
       "Itc7t2J1JT0qaYGk1yRlSjpA0jhJ70uaLOkQAElnSZouaZakCZJalgySdCJwFnBXtEzR4GQ/kfSu\n",
       "pA8lnVzdAseNn8Cq/HwuHzSQwZcMYGD/fuQuzmPi5ClJP/nNj93HluefTjqnpLjVW+R/Nwwjf8Ib\n",
       "rJ4ylcJNm9m0cmXSmXFsi1C5odrCc+Nbc4jcPXrIm1IOAs43s0sl/RvoA/wcGGxmn0g6HngIOAWY\n",
       "YmYnAEi6BLgWuBoQgJlNk/QC8KKZjY2WA6hrZsdLOhO4ETitOgXmLk5cXaNtmzY73ObmpeiqGykY\n",
       "AbikuNVbpF6TJnz3f4mz1Ns2bOB/NwxLOjOubREiN1RbeG747DjleudWLNfM5kXTM4EcoDswpsRQ\n",
       "5w2i2/0lPQO0juaVN7xz6b8MY6PbWVF+UuJ26bS41Lv12295r895ZB98EIfceANHP/YIk7oen9JT\n",
       "c3Fpi10hVFt4bvjs2pzrnVuxTSWmtwGtgLVm1qWMZR8A7jazlyT1AoaVk1l6CxU9xjbKafthtw7f\n",
       "Pt27x8n07tlj++8dO+QAsGTpMgCWLV+emJ+TU87D715xq3e7wkJWT5nK6ilTaf2js9jrhOOp36wZ\n",
       "W9asqXFkbNsigFBt4bnhs3d37sTJU5g4ZWqVMr1zK983wGeS+prZs0ocvh0ZHd01AZZHy11czvrr\n",
       "ouWqZdjQ68u978zTT6NlixY8/NjjZGdn8fjI0XTIab9DB1hTdY/tTp12BwCgFq2od9pZbFswG1ux\n",
       "tMaZcasXYJ/v9Kb1j85izXvv07BtG5od25WNny9JqmODeLZFqNxQbeG58a25qrm9e/bYYd5Nt91R\n",
       "bqZ/oKRY6aMsA/oBAyXNARYAZ0f3DSNxuvJ9IL/EulZi+mngGkkzS3ygpKLHq1RGRgZjRo8gOyuL\n",
       "IddeT+tWLRkzagRKwfsi9c+5kAYXXQZm1Mk5kIzLr6PuoUcmlRm3egE2r1lD02O60Gn4rbQbNJCv\n",
       "Jk9l1oUXJZ0bx7YIlRuqLTw3vjWHyPUhb2oRH/KmmA95U8yHvHGubD7kjXPOuT2Kd27OOefSjndu\n",
       "zjnn0o53bs4559KOd27OOefSjnduzjnn0o5/FaAWCfVVgK+/3yvlmQBNX5kUJNftGtM7HhEk97BD\n",
       "9w6S6/tbvIXY3078Yql/FcA559yewzs355xzacc7N+ecc2nHOzfnnHNpxzs355xzacc7N+ecc2nH\n",
       "O7dSJOVImr+76yjP29Om07lbdzKbt6LrSb2YPWduSnIzf30tjce+QZM3Z9Hotj+nJBPC1Rsy23MT\n",
       "MjvkcNh//k3XhXM59uNFHPr0U2S0a5d8bqB9DeLXxv76SAixr3nnFiMFBQX0ueAi1m/YwP13DueL\n",
       "Vfn07defwsLC5MMNtrz5ajSdmu8+hqw3VLbnFqvfujUAS++6h/ynn6Fpz5PpeO+dSeeG2Ncgfm3s\n",
       "r49iIfY179zKVlfSo5IWSHpNUqakoyVNlzRX0lhJzQAkTZR0r6T3JH0g6ThJz0n6SNLNRYGS+kl6\n",
       "V9JsSX+TVO22Hzd+Aqvy87l80EAGXzKAgf37kbs4j4mTpyT9hAsevJNNY0YnnVNSyHpDZXtusW/f\n",
       "e58P+pzHFyP+Qd4Nw9i69msaHnxQ0rkh9jWIXxv766NYiH3NO7eyHQQ8aGZHAGuBPsBI4BozOwqY\n",
       "D9wYLWvAJjM7DngYeB4YDBwBXCxpL0mHAT8FuptZF6AQuLC6ReUuTgy02bZNmx1uc/NSNABnCkYA\n",
       "LilkvaGyPbeYbd26fTrrqM7Ua9aUddPfTToXSPm+BvFrY399FAuxr9VLau30lWtm86LpmcABQDMz\n",
       "K/r3ZCQwpsTyL0S3C4AFZvYFgKTPgHZAD6Ar8H40bHpDYGWyRcbt0mkh6w2V7bmQeeABHDLyCTZ9\n",
       "voTFv/9jyvNDiVMbh8wNmZ3q3FTua965lW1TieltQLNS95f+t7No+cJS6xZS3MYjzez3lT3wsFuH\n",
       "b5/u3eNkevfssf33jh1yAFiydBkAy5YvT8zPyaksdrcIWW+obM/dUcODD+KwZ5+mcONGFvU9jy1f\n",
       "fpmS3BDi1sb++thRVfa1WZsLmLV5Uxlr78wvnFyKpBzgRTM7Mvr9KiAbOAf4tZlNlTQMaGxmV0l6\n",
       "C7jKzGZJ6h1NnxWt+xZwFbCRxOnKk8wsX1JzINvMPi/12BVeOHnTpk20P/RIGjVqyDVDruCWO+4m\n",
       "MzODT+bPRhWc5qnKhZPrndCDOh0OIHPQFRR+9jGbxv6LbXNnUrhsSbnrVHYh25rWWxWhsvek3Mou\n",
       "ZNugzb4c8drL1GvWjKV33MWmJYk/aF89/0KF61V24eSa7Guw+/a3uOXW1por2t9quq/5hZOrr3SP\n",
       "b8DFwF2S5gKdgT+Vs95O/y2Y2QfAH4Dx0frjgdbVLSojI4Mxo0eQnZXFkGuvp3WrlowZNSLpFwJA\n",
       "xnkXkTnoCjCjTseDaHjVDdQ9/KjkMkPWGyjbc4tl5rSn/t57ozp12P/313Hgww9w4EN/STo3xL4G\n",
       "8Wtjf30UC7Gv+ZFbLeJD3rhdyYe8cbuSD3njnHPOJck7N+ecc2nHOzfnnHNpxzs355xzacc7N+ec\n",
       "c2nHOzfnnHNpxzs355xzaccvv1XLrOx5QsozW0+envJMt+uE2CcATvhsQZDcUPVuDJQL/hrZFXL2\n",
       "y0596Bfl3+VHbs4559KOd27OOefSjnduzjnn0o53bs4559KOd27OOefSjnduzjnn0k6wzk1SjqT5\n",
       "ZczvKunP5ayzOBrIMzhJIyT1KWN+f0n77ooaqqvx1b+nxWtTaDVjIc3ufSil2W9Pm07nbt3JbN6K\n",
       "rif1YvacubU6N2R23HLjtl+Eqjdu7RAyN2R2XPbjXX7kZmYzzezK8u7elaWU83gXA212YR1VZ0bB\n",
       "a68U/ZIPUa+3AAAgAElEQVSy2IKCAvpccBHrN2zg/juH88WqfPr2609hYWGtzI1jzSHbIm77Rah6\n",
       "49YO/vooJcXbb5d0bpI6SpoVHbX1lvRiNH9vSeMlLZD0d0DR/CxJL0uaI2m+pJ+WkTlI0oxomWcl\n",
       "NYzmj5D0Z0lvS/q06OhMCQ9K+p+kCUDLoscrkdkXOBZ4Kqo3M6p5oqT3Jb0qqXW07AGSxkXzJ0s6\n",
       "pJLH3zdabnb0nE6ubjuuu2c46/85srqrVWrc+Amsys/n8kEDGXzJAAb270fu4jwmTp5SK3PjWHPI\n",
       "tojbfhGq3ri1g78+dpTq7Re8c4v+6D8L9DezmaXuvhGYbGZHAM8B7aL53wOWmdnRZnYk8GoZ0f8x\n",
       "s25mdjTwATCwxH2tzewk4IfA7dG8HwMHA4cBFwHdKfXvgZk9C7wPXGBmxwDbgAeAPmZ2LPAkcGu0\n",
       "+KPAr6P51wAlj6PLevwLgFfNrAvQGZhTZoNVIgUj0O8kd3EeAG3btNnhNjcvr1bmhsyOW26ROO0X\n",
       "EKbeULlx3CfiWDOkdvuVe/ktSQ9UsJ6Z2RVVyG8J/Bf4sZn9r4z7e5DodDCzVyStiebPA+6WdDvw\n",
       "kplNLWPdIyXdAjQFsinuAC16TMzsA0mtovk9gX+amQErJL1ZQd1FTXwIcDjwuhKtXhdYLimLROc4\n",
       "RsVbo0Eljz8DeEJSfeC/Zlbmieq7l+dvn+7euBHdG2dVUGYYiSaKT27I7LjlhhTHmkOI4z4Rx5rL\n",
       "8s669byzbkOVlq3o2pIzKT6yKfoLbtF0VZ/RWiCPRCdWVudWMns7M/tYUhfgB8Atkt4ws5tLLTYC\n",
       "ONvM5kvqD/Qucd/mMvKNMh6rHCWf90Iz675DwVITYE10FFaWnR7fzKZI6kHiaG6EpHvNbFTpFa9u\n",
       "06KKJaZOxw45ACxZugyAZcuXJ+bn5NTK3JDZccsNKY41hxDHfSKONVdF98ZZO/zDf8+Kr8pdttzO\n",
       "zcxGlPxdUpaZra9mLZuBc4HXJH1rZv8qdf9kEqfrbpV0JrBX9Fj7kug8npL0NTueciySDayMjoT6\n",
       "AUsqqWUy8AtJI4FWwHeAp8pYbh3QJJr+EGgh6QQzmx491kFmtkhSrqS+ZvasEodvR5rZvPIeXFI7\n",
       "EqdaH5OUAXQBdurcKpJxUi/qHXgQAHVb7UvDH/Vh88z32Lb08+rE7OTM00+jZYsWPPzY42RnZ/H4\n",
       "yNF0yGlP7549amVuHGsO2RZx2y9C1Ru3dvDXx45Svf0qfc9NUndJi4iOvCQdLamqn9M0M9tA4mjl\n",
       "N5J+yI6fUrwJ6ClpAYnTk0Unbo8E3pU0G7gBKH3URjT/XWAqiffcdnjc0tNm9hzwMbAIGAm8U07N\n",
       "I4C/SZpFon36AndImgPMBk6MlrsQGBjNXwCcXdHjk+hM50S5PwXK/DpERRr97Odk//I3YEa9gw6h\n",
       "ye9vov5R5R08Vl1GRgZjRo8gOyuLIddeT+tWLRkzagRK8gR4qNw41hyyLeK2X4SqN27t4K+PHaV6\n",
       "+6myc6aSZpD4A/980Wk4SQvN7PAaP6orkyRb0fXQlOf6cB7xFmoImVD7Rah6Q/LXSHgh9ot9Z/4P\n",
       "MyuzZ63SpyXNrPRx4dakq3LOOecCqcpgpZ9LOglAUgPgCnY+Deicc87VGlU5crsM+CXQFlhG4oMQ\n",
       "vwxZlHPOOZeMSo/czCyfxCcanXPOuVioyqclD5D0oqQvJeVLel5Sx11RnHPOOVcTVTkt+U/gGWBf\n",
       "EhcUHgOU/r6ac845V2tU5QMlDUtdSWO0pGtCFbSn2+fMY3d3Ca6WCfUx9afbHBQkt++vzwiS64qt\n",
       "O/eUILmNx74RJBcC/W2bWd6Fryq+tmRzEpeOGifpeoqP1s4DxqWyPueccy6VKjpym8WOV9q4NLot\n",
       "urbkdaGKcs4555JR0bUlc3ZhHc4551zKVOU9NyQdAXQCMovmmdk/QhXlnHPOJaPSzk3SMKAXiXHN\n",
       "XgbOJHGxYu/cnHPO1UpV+SpAX+BUYIWZ/Rw4CmgWtCrnnHMuCVXp3Daa2TZgq6SmwCpg/7BlubIM\n",
       "ee092t73LA1uGc05/34rpdlvT5tO527dyWzeiq4n9WL2nDIHCq81uSGzPTehwwXncd7qlTv9NNqv\n",
       "bVK5ofZjf30UU5v9aXjH38j69+tk/2ciDW99ELVObrsVCVVzqrdfVTq39yTtBfwdeJ/EmGbljYXm\n",
       "AhJw3uE526dTpaCggD4XXMT6DRu4/87hfLEqn779+lNYWFgrc+NYc9xyAVZNfYd3BlzKOwMuZfov\n",
       "fknh5s0UfLGKjctXJJUbaj/210exOnu3AGDzqL+xZcKL1O3Sjcwhf0g6N2TNqd5+lXZuZna5ma0x\n",
       "s78BpwP9o9OTaU1SjqQPJD0qaYGk1yRlRpcjGyfpfUmTJR0iqa6kz6L1mknaJunk6PfJ0Tq9JM2O\n",
       "fmZJyq5uTfedcRxXdkv9eG/jxk9gVX4+lw8ayOBLBjCwfz9yF+cxcfKUWpkbx5rjlguw/vMlLPnv\n",
       "Cyz57wts27SJOg0a8Nnof2JJ/iELtR/766PYtkVz2fi7wWx56Vk2/e0e+PYb6rTrkHRuyJpTvf0q\n",
       "+hJ3V3b8nlvJ+44xs1kpq6L2OhA4z8wulfRvoA/wc2CwmX0i6XjgITM7RdKHkjoBHYGZJEYYfw/Y\n",
       "z8w+lXQfcLmZTZPUCNhUk4IqHlq2ZnIXJwZAb9umzQ63uXl55a6zO3NDZntu2Q78eX9s2zY+HTmq\n",
       "8oWrIMR+HCo3lttu27btk3UOOgyym7BtavJXHwm9v6Vy+1X0acl7Knms76Swjtoq18zmRdMzgRyg\n",
       "OzCmxLDqDaLbKUBPoAMwHBgETALei+5/G7hP0lPAWDNbVtYD/mlS8fnrXu1b0SundaqeS5VVNjp7\n",
       "bcsNme25kJ2TQ6tePVg+fgIblpa52+5R4rTt6uzXnobD7sVWLmfTQ3elPD/ka7oskxavZFLeF1Va\n",
       "tqIvcfdOVUExVvLoahvQClhrZl3KWHYycDmJC0z/EbgG6B3Nx8zukPQS8APgbUlnmNmHpUP+2Ouo\n",
       "lD6BqujYIQeAJdEfrmXLlyfm5+TUytyQ2Z67swN+fhEAnzw+ImWZcRLXbVenXQca3v4wbCpgw3WD\n",
       "sbWrk87cFftbRXrltN7hH/6bp8wvd9kqfYnbbfcN8Jmkvmb2rBKHb53NbC4wAxgNfGJmmyTNBX5B\n",
       "ojND0gFmthBYKOk44BBgp86tIq98vJSF+V8D8Pk3G3hi9if0bN+KA5s3TupJnXn6abRs0YKHH3uc\n",
       "7OwsHh85mg457ends0etzI1jzXHLLVKnfn06XHAe65csYcWE1FxUN9R+7K+PYtqnFQ3v+Btq3JTN\n",
       "Ix+m7mGd4bDObJ00vtbWnOrtV5VPS+7JSh9zG9APGChpDrAAOAvAzDYDnwNFl3CfDGSbWdG/FldK\n",
       "mh91epupwcWn753+AUPfnI0k5n+xhsteeZdpS/Or/6xKycjIYMzoEWRnZTHk2utp3aolY0aNoMSp\n",
       "11qVG8ea45ZbZL+zfkCD5s35bOTolORBuP3YXx/F6rTZDzXdCyQa/PyXZP7uFjKvvTnp3JA1p3r7\n",
       "aVefM3Xlk2Rb/tAv5bn1rn8w5Zku/nzIm2Jxe43EccibrcN/lfLM+reMxszK7FmrMhJ3HUk/k/TH\n",
       "6Pd2krqlukjnnHMuVapyWvIh4ETgguj3b6N5zjnnXK1UlQ+UHG9mXSTNBjCz1ZLqB67LOeecq7Gq\n",
       "HLltllS36BdJLYDkr7XinHPOBVKVzu0B4DmgpaTbSHwZeXjQqpxzzrkkVHpa0sxGS5oJFH0850dm\n",
       "9kHYspxzzrmaq8pgpe2A9cCL0SyT1M7MPg9a2Z5q7713dwW1QsGlPw6Sm/noc0FyQ9r66I1Bcs9f\n",
       "/nGQ3H8H+opBn2EXVL5QDYVq43qX3hQkt+H3Tg6SG9Qu/ttWlQ+UvELxl5kzSVw78UMSI3M755xz\n",
       "tU5VTkseUfJ3SccAvwxWkXPOOZekal9+Kxrq5vgAtTjnnHMpUZX33K4q8Wsd4BjAx71wzjlXa1Xl\n",
       "PbeSI0ZvBV4C/hOmHOeccy55FXZu0Ze3m5jZVRUt55xzztUm5b7nJqmemW0DTlKqxs9IE5J6STqx\n",
       "xO+/kPSz0I87ZOxE2t7wKA1++2fO+fsLKc1+e9p0OnfrTmbzVnQ9qRez58ytfKXdmKtWban/+3vI\n",
       "ePg5Mv7+IvV/dydqsW9KsuPWFnHcLzr0+z9+MHsGfZYvpuezT5PZulXSmSHbIVS27xPFUl1zRR8o\n",
       "mRHdzgGej0YG6BP9nJv0I6eQIjVct27lS+3kO0D3ol/M7BEzG1WTx68OIc475pDEdAr/3SgoKKDP\n",
       "BRexfsMG7r9zOF+syqdvv/4UFiZ3lbVQuQDslfjOzNb/PMm2ya9S5/BjqHfJ1UnHxrEt4rZf7HX0\n",
       "URz3l/vYsGwZc2/8Ey1P7s6x992VdL2h2iFUtu8TO0p1zRV1bkXxmcBXwHeBH0Y/ZyX/0MmRlCPp\n",
       "Q0kjgfnADZJmSJoraViJ5S6K5s2JlkXSCEl/kzQduEPSAZLGSXpf0mRJh0TLnSVpuqRZkiZIaikp\n",
       "h8QI27+RNFvSyZKGFX3wRtLR0TpzJY2V1CyaP1HS7ZLejequ9rcw7zu3F1f26pJcw5Vh3PgJrMrP\n",
       "5/JBAxl8yQAG9u9H7uI8Jk6eUitzAezjhWy57Sq2vf4CW0f9Fdavo07b9knnxrEt4rZftDgpcdLj\n",
       "0yf/wSd/f4I18xaw7+mnUb9p06RyQ7VDqGzfJ3aU6pores+thaTfkug4aqsDgZ8BTYG+ZtZNUh0S\n",
       "R5o9gNXAUODEaDSDZtF6BrSJ5pukN4BfmNknko4nMaTPKcAUMzsBQNIlwLVmdrWkvwHrzOze6L5T\n",
       "KP6i+z+AX5rZFEk3ATcCv4nur2tmx0s6M5p/WnWfcIihZXMX5wHQtk2bHW5z8/JqZS4A27Ztn1SH\n",
       "gyGrMYXvTU46NpZtQbz2i035XwLQ4sQTWDNvPo0P6ABAVvv9WTvv66SyQw69nOps3yd2lsqaK+rc\n",
       "6gKNU/hYIeSZ2QxJdwOnFw3LA2SR6PiygGfMbDWAma0tse6YqGPLJjFe3ZgSZzYbRLf7S3oGaB3N\n",
       "+6zE+jsdOEtqAjQ1s6J/Y0YCY0osMja6nQXkVPfJ7iqhRmcPkat996fBb2/B8leyZeQDKc+PU1uE\n",
       "lqqalzz3PAdcfBEHDOjPAQP6s2Xdt0hiW8GmlOTH1Z68T4RQUee20szCXBgtddaXmB5uZo+WvFPS\n",
       "ryijE4psiG7rAGvNrKzj4QeAu83sJUm9gGHVrK/0Yxe9erdRTtv/6dXp26d7HbgfvQ7cr5oPWX0d\n",
       "O+QAsGRp4uuLy5YvT8zPyamVuUXUpj0Nfn8PtrmAzbddBd+sSTozrm0RQqiaC7ds4c3vn03TTodh\n",
       "27bR5fZb2afbsaxfnJr//uPC94nqm/TJUiZ9srRKy1ble25x8Bpws6SnzGy9pLbAZuBN4DlJ90an\n",
       "Jfcysx3+AprZN5JyJfU1s2ejD6YcaWbzgCbA8mjRi0usti66ryRFWWsknWxmU0mcMp1YnSfyx++d\n",
       "UO59ryzMZeHKrwD4fM06npi+gJ4H7MeBLZqVu05VnHn6abRs0YKHH3uc7OwsHh85mg457ends0et\n",
       "zAWgeQsaDL0Hspqw7dlnqXNQJzioE4XT36qVNYdsi7jtF0h0GX4za+bNp3mXLrTq1YMPH3yYws2b\n",
       "k4oN1Q6hsn2fqH7Npf/hv/m1d8vNq+gDJacmXW14BmBmE4B/AtMkzQOeAbLNbBFwKzBJ0hzgntLr\n",
       "Ri4EBkbLLADOjuYPI3G68n0gv8Q6LwI/jj5ocnKpvP7AXZLmAp2BP1VUe3XcO3EWQ19+GyHmr/iS\n",
       "y555k2mLV1Q3ZicZGRmMGT2C7Kwshlx7Pa1btWTMqBEk+w2QULkAdVq1gcbNoI6o99NLqH/5UOpf\n",
       "/vukc+PYFnHbLzCjRfcT6XrPnez/47P5+NHHmPenW5OuN1Q7hMr2fSJszarN50z3NJJsy31Xpjw3\n",
       "1LAbIfmQN8XiNhxLHIe8CSVUG8dtn4AwNdf/zZ8xszJ71mpfONk555yr7bxzc845l3a8c3POOZd2\n",
       "vHNzzjmXdrxzc845l3a8c3POOZd2/KsAtYgks/VrK1+wmrb+6RcpzwTQ0V2D5ALUPfvSILkbB5xd\n",
       "+UI1UD8nNcPtlCVUO2/+70tBchuc88MguZ/e+EiQXIADbgrzGnFh1fu/a/2rAM455/Yc3rk555xL\n",
       "O965OeecSzveuTnnnEs73rk555xLO965OeecSzvpMp5bpSRdAQwGZprZz3Z3PTX19rTpXHblb/no\n",
       "k085/LBDeeyvf6HL0Uclnfvx6nVc9tr7LMhfy+ZthRzfZm/+esaxdGyWnVTukBHP88y0ueSvW8/3\n",
       "uxzK89f8POlai4Rqi4xbHkZt2kOdOtiKpWx5+lEK585IKjNU+0LYNg7RFiHrrdO4MS3/8EeyvnsK\n",
       "qluHgoWLWPqz5EcTCFWz54bLTqsjN0XKufsy4NSqdmySal3HX1BQQJ8LLmL9hg3cf+dwvliVT99+\n",
       "/SksLEw6e8W3GwG48eQj6H9kB95Y/AW/GPde0rkSnN/96MR00mnFQrZF4YcL2DLiz2wd+w+0fwfq\n",
       "D/xt0pmh2hfCtTGEaYuQ9ba67XYa//Asvh7zb1bdegtb8hanJDdUzZ4bLjv2nZukHEkfShoJzAdu\n",
       "kDRD0lxJw6Jl/gZ0BF6VNERSI0lPSHo3GnD07Gi5iyW9IOkNYEIly42VNE7SR5LuKFHP9yTNlDRH\n",
       "0uvRvKyycqpr3PgJrMrP5/JBAxl8yQAG9u9H7uI8Jk6ekkwTAnBi2314/f++w2XHHMR9px7DXpkN\n",
       "+OCrb5LOva//j7jy+ykYebuUkG2xZdRf2TZ7OtsWzoKtm7E1XyadGap9IVwbQ5i2CFVv/f32J/vU\n",
       "01j30ot8ee89fPPcWL74Q/ID2EK4mj03XHatOzqpoQOBnwFNgb5m1k1SHeAFST3MbLCkM4DeZrZa\n",
       "0m3AG2Y2QFIz4N2ijgjoAhxpZmsrWe4o4GhgM/ChpL9E048CPcwsL1oHYGhZOWa2oTpPMndxHgBt\n",
       "27TZ4TY3L696rVWG+nWL/895f8Vq1hRsps8h+yedC2DVH3S8UiHbgkbZZD7y38T0pgK2jPpr0pEh\n",
       "2xfCtDEQpC0gTL0NDjwQgMzOnTlo9jyssJC1/xjJl/fclZL8UG3suWGyY3/kFskzsxnAGcDpkmYD\n",
       "M4GDSXR8pZ0OXBct9xaQAbQDDJhgZmursNwbZrbOzDYBi4Ac4ARgspnlAVSSk/RfthCXTvvfV99w\n",
       "7tgpdGiWxf2nHZPy/FBS2hYbN7D5tqvYMvIvUKcODa68MXHOJAVi174B2yLV1KBB4jazIcuHXMHG\n",
       "WTPZ65JBNDzhxN1cmdsd0uXIbX2J6eFm9mgV1jnXzD4uOUPS8aWyKlpuU4lZ20i0ZUV/YXfKKcuw\n",
       "W4dvn+7d42R69yw+TO/YIQeAJUuXAbBs+fLE/JycymKrZNGXX3P60xNpVK8u48//Dq2yMlOSG0LQ\n",
       "trBCChfMggWzqHt8b+oc2hmyGsO3yZ1GjFP7bheoLULYsmQJABtnvsf6N16n3j770OiEE2mwfzs2\n",
       "Tp+2m6tzqTBx0adMWvRplZZNl86tyGvAzZKeMrP1ktoCm80sv4zlrgB+DSCpi5nNZuf3Mau6HCQ6\n",
       "tunAQ5JyzGyxpOZmtrqCnJ0MG3p9uU/uzNNPo2WLFjz82ONkZ2fx+MjRdMhpv0MHWFNLvtnAaf96\n",
       "i9UFm7myx5FMX/YV05d9xXmd2iWV+/KsD1i4dGXiMb5ayxNvzaDnYR05sPU+SeWGaos6nY+j7onf\n",
       "ofCjBWjvltQ5+HAsf2XSf8xDtS+Ea+NQbRGq3k0fLGLzRx/S6MSTaPqT82hybl/YupWNs2YmlRuy\n",
       "Zs+tXnbvTgfQu9MB23+/+T+v75RTJF1OSxqAmU0A/glMkzQPGANkl1wmcjNQX9I8SQuAm0osU5Pl\n",
       "iB7/S+BSYKykOcC/KsmployMDMaMHkF2VhZDrr2e1q1aMmbUCMr/gGjVfbb2W/I3bKLQYOikefzs\n",
       "xWlc9NL0pHPvfXkSQ59+FQHzPl/J4L//h2kfJf++WKi2sG+/oc4Bh1H/4iup970+FC6Yxea7yv+H\n",
       "o6pCtS+Ea+NQbRGqXoAVv/0NWz7/nBZ/uIG6TRqz8nfXsPnTT5LODVWz54bL9iFvahEf8qaYD3lT\n",
       "zIe8SfAhb1xpPuSNc865PYp3bs4559KOd27OOefSjnduzjnn0o53bs4559KOd27OOefSjnduzjnn\n",
       "0o5/z60WCfU9N+dcxQZnpe4i1iX9bf2SILkuQVnN/Htuzjnn9hzeuTnnnEs73rk555xLO965Oeec\n",
       "SzveuTnnnEs73rk555xLO965VULSTZJOSXFmb0kv1mTdt6dNp3O37mQ2b0XXk3oxe87clNQUt9yQ\n",
       "2Z4bPjtuuT/9853cufITHtq2lstf+HdKMsG3XcjcPapzU6Q665jZjWb2RqiaqqOgoIA+F1zE+g0b\n",
       "uP/O4XyxKp++/fpTWFi4R+XGsea45cax5pBtgRnv/evZaDI13w32bRc2N+07N0k5kj6UNBKYD9wg\n",
       "aYakuZKGlVjuBkn/kzRF0j8lXRXNHyGpTzR9iqRZ0Yjaj0tqEM1fLGmYpJnRfYdE87tJeida521J\n",
       "ByfzXMaNn8Cq/HwuHzSQwZcMYGD/fuQuzmPi5CnJxMYuN441xy03jjWHbItnhvyON+77a9I5Jfm2\n",
       "C5ub9p1b5EDgr8BvgLZm1g3oAnSV1EPSccC5QGfgTOBYoOjfMwNMUibwJPBTM+sM1AMuK7FMvpl1\n",
       "BR4Gro7mfwD0MLNjgBuB25J5ErmLE0Out23TZofb3LzkhnmPW27IbM8Nnx233CLVPOlTKd92YXPr\n",
       "JVVRfOSZ2QxJdwOnS5odzc8CDgIaA/81s83A5jLeDxNwCJBrZp9E80YCvwT+HP0+NrqdRaKjBGgG\n",
       "/EPSgSQ6wPqVFTrs1uHbp3v3OJnePXuUu2yoS6fFLTdktueGz45bbii+7SrPnTh5ChOnTK1Sxp7S\n",
       "ua0vMT3czB4teaekK0l0YNtnlZFRurVVat6m6HYbxe16M/CGmf1YUntgYmWFDht6fbn3deyQA8CS\n",
       "pcsAWLZ8eWJ+Tk5lsRWKW27IbM8Nnx233FB821U/t3fPHjv8w3/TbXeUm5n2F06WlAO8aGZHSjqN\n",
       "RIdzipmtl9QW2Ay0Bx4BupM4upoJPGJm90p6EngReBn4CPiumX0qaQQw08wekJQLdDWz1ZKOBe4y\n",
       "s+9IGguMNrOx0ft7/c2sg6TewFVmdlapWiu8cPKmTZtof+iRNGrUkGuGXMEtd9xNZmYGn8yfndQp\n",
       "k7jlxrHmuOXGseZkciu7cPIR3z+DNkccxjnDh7Fs3gLeeuARPp70NvmfflbhehVdONm3XfK5fuHk\n",
       "6AjLzCYA/wSmSZoHPANkm9n7wAvAPOAVEh88+XqHALNNwM+BMdG6W4G/lcwvMV30+53AcEmzgLpl\n",
       "LFctGRkZjBk9guysLIZcez2tW7VkzKgRSb8Q4pYbx5rjlhvHmkO2xWlX/5pzhg8DM9p2PoJ+j/6F\n",
       "jt2Pr7X1xq2NQ+Sm/ZFbVUnKio7mGgGTgEFmNmcX1+BD3ji3G/iQN/FU0ZHbnvKeW1U8KqkTkAmM\n",
       "2NUdm3POudTxzi1iZhfu7hqcc86lxp7ynptzzrk9iHduzjnn0o53bs4559KOd27OOefSjn+gpJbZ\n",
       "9tRdKc/cMPa1lGcCNP7P60FyIUw7ANS98Jogua5YqG0XUqiP7P+rzUFBcv9v+cdBcuO47crjR27O\n",
       "OefSjnduzjnn0o53bs4559KOd27OOefSjnduzjnn0o53bs4559KOd26lSOoq6c+VL7nrDXn6Ndpc\n",
       "dT/1f3ErP3rw3ynNbnTfk2T/5y2yn5tMowdHU7friSnJfXvadDp3605m81Z0PakXs+fMTUluyLYI\n",
       "VXPcckNlh9p2cdgnjrnjVn780ULOX72Snk+PqnR+bai5pJBtnOps79xKMbOZZnbl7q6jLEKc363T\n",
       "9ulU2rZoLgUP383mfz5OnfYHkPmr3yWdWVBQQJ8LLmL9hg3cf+dwvliVT99+/SksLEw6O1RbhKo5\n",
       "brkhs0Ntu1jsE2bk/WdsNGmVz68NNZcQ8m9QqrP3mM5NUpaklyXNkTRf0k8lHSfpnWjeu5KyJfWW\n",
       "9GKJdZ6I7psl6exo/sWSxkoaJ+kjSXeUeJzvSZoZZb5eUU513Xf+6Vx5anIDJJZn09/vZ9uMqWyd\n",
       "+x5s2Yx99WXSmePGT2BVfj6XDxrI4EsGMLB/P3IX5zFx8pSks0O1Raia45YbMjvUtovDPjHruj/w\n",
       "v4ceqfL8morbtguRvSddoeR7wDIz+wGApCbAbOCnZjZTUjawsdQ6Q4E3zGyApGbAu0UdFnAUcDSw\n",
       "GfhQ0l+i6UeBHmaWF61Tbo6Zbajukwg2uGxWNln/Gp+YLthIwd/vSzoyd3EeAG3btNnhNjcvL+ls\n",
       "CNMWoWqOW27o7FD7cRz2ifJGl07FCNxF4rjtUp29J3Vu84C7Jd0OvAR8Dawws5kAZvYt7LSDnQ6c\n",
       "Jenq6PcMoB1gJDqrddE6i4AcoDkw2czyosy1FeTsD3xYusibXpi8fbrXIe3pfUj7pJ50lW3cwMah\n",
       "v6LO/jlkDLiChtffxvqfnwMp3NniOOp7nP4Ih8wNnR0ncWyHONZclokf5jHpw6p10HtM52ZmH0vq\n",
       "AvwAuAV4q4qrnmtmO1zITdLxwKYSs7aRaMuK9qCdcspy49k9q1hWihUWsm3Oe2yb8x71epxK3cOP\n",
       "huwmsO7rGkd27JADwJKlywBYtnx5Yn5OTpLFhhOq5rjlhs6Okzi2Qxxrrorepf7hv/ml8k+z7jGd\n",
       "m6R9gTVm9pSkr4HLgNaSjjWz9yU1BkqfJnwNuAL4dZTRxcxmQ5nvdhowHXhIUo6ZLZbU3MxWV5BT\n",
       "LT96rNkAACAASURBVC/P+5iFy/MBWLL6a56YOoeeB7fjwJbNqxu1g7rHnEC9nqdSuGgeatGKuoce\n",
       "iX2xIqmODeDM00+jZYsWPPzY42RnZ/H4yNF0yGlP7549ksqFcG0Rqua45YbMDrXt4rBPtDn9VJoe\n",
       "dhgAWfvtR8efXcCqqdNoctABZc7/Njd3t9dcUqg2DpG9x3ygBDiSxHtds4Ebop/zgQckzSHRAWWS\n",
       "6KSKjsBuBupLmidpAXBTNL/kMtuZ2ZfApcDYKPNfleRUy73j32Xoc28hxLxlqxg86hWmfbq0JlE7\n",
       "1r3ua+oefDgZl11Dgx+dx7Y577Fx2G+Tzs3IyGDM6BFkZ2Ux5Nrrad2qJWNGjUjJewuh2iJUzXHL\n",
       "DZkdatvFYZ849P/bO+84Kavr/78/dKmCAiqWFYxYgoJYUBExlmgsibEldkWjMdbE+NPYsMVujDHK\n",
       "14hijQajRmODKE0BUYqAvQBRUCQKSkfg/P64d9jZdRv7PA+7M3ver9e8dubOzGfO3pnnOc8999xz\n",
       "zzmLHa+8FDNj/e23Y5fbb6Vjn10rbN9wt13qhc35ZNXHWWirWGKxxYAkW3nPpanr+pY3pfiWN9lT\n",
       "iNumZPW78C1vsqXJr67DzCr02A1p5OY4juM0ENy5OY7jOEWHOzfHcRyn6HDn5jiO4xQd7twcx3Gc\n",
       "osOdm+M4jlN0+FKAeoQks8ULqn/hWjKrz66pawJsMX5CJrqO41TNVe1LMtG9cv7MTHSzQq3W96UA\n",
       "juM4TsPBnZvjOI5TdLhzcxzHcYoOd26O4zhO0eHOzXEcxyk63Lk5juM4RUfROzdJMyUl32yo6s94\n",
       "TlLbLD8jx2vjxrPDrnvQokNneu+5N5OnvJWKbpPNt6DzvQ+y6ajxbDZ2Ip0GDaZJl00T62Zlb5ba\n",
       "rpu9tutmq7vjCb/kiqVffe/WdrP6e0ynrVv0zo2w71ryza2q+gCzg83s2yw/A2DZsmUcceyJLF6y\n",
       "hNtvup65X87jyONPYvXq1Ym1G3fsBMCCu+5g0b+epEWfPdjgquvqrb1Zabtu4drsuqXMHP0qTxw/\n",
       "gCeOH8BTp5zJqhUrWPTFXBbOnlMvbc5Ct6icm6RWcRQ1RdI0SUfHp86RNDFuFto9vraDpKclvSVp\n",
       "nKQesX2gpIckjZX0gaTTYnt/SaMl/VvSe5LuVtz5Lzc6lFQi6V1J90iaLuklSS3ia3aJnz9Z0s2S\n",
       "pq3t//fCsOF8OW8eZ50+gDNPO5UBJx3PjJmzGDm68q3Wa8rytyYz97QTWfT4o8y/8TpWf/sNTbt2\n",
       "S6SZpb1Zabtu4drsuqV8M+tT3vnn07zzz6dZuXw5jZs1Y/IDj2AJnVAh9UVROTfgQGC2mfU0sx7A\n",
       "i7F9npn1Bu4GLoxtVwETzWxH4A/Ag3k6PwT2AXYHrpC0cWzfBTgb2A7oBvw8tueXedkKuNPMfggs\n",
       "AI6I7fcDp5tZL2AlFezkXR0zZs4CoMsmm5T5O2PWrLWV+j4rV66522y7H9KobTuWTXwzkWSW9mal\n",
       "7brZa7tutrrl6X36yaxetYqJgx9IrFVIfVFszm0qsL+kGyT1zQsVPhn/TgJK4v09gYcAzGwEsIGk\n",
       "NgSn8y8zW25mXwEjgF1j+wQzm2lmq4G/A30rsGGGmU2N9ycCJZLaAa3N7PXY/igphEqzKJ3WpKQr\n",
       "He+4m5WzP+Pr669JVTvLUm9Zabtu9tqum51u+64ldN1nbz4a9jLffvpZ6vr1uS+apGBHvcHMPpTU\n",
       "CzgYuFbSK/Gp5fHvKsr+zzV1MLmxfH6PK689n+V591cB61Xwmko/d+B116+533+vvvTvt9eax123\n",
       "LAHg089mAzB7Toifdy0pqUxurWjatRud732A1cuWMfe0k1j99VeJ9LK0Nytt181e23Wz1c2n92mn\n",
       "APDmPfelolfXfTFy9BhGjnm1RppFVTg5hg/nm9kySQcDpwE9gd5m9rWknYGbzWwfSX8mhCuvldQf\n",
       "uNXMeksaCPwU6AO0Joz2dgO2AZ4nhCT/C7wADDKzpyTNAHoDbYFnY0gUSb8jjNiuinNsA8xsgqQ/\n",
       "AofmXpdnf5WFk5cvX84W2/SgZcv1+P3553LtjbfQokVzPpo2mTj9VyE1KZzcuPNGbPzYP2nUth0L\n",
       "7vwzKz8PP7IlLz5f6XuqK5xcW3trQlbarlu4Njck3ZoUTm7UtCm//eRtVixZwh3de9bIpuoKJ9e3\n",
       "vmhIhZN7AK9LmgxcAVxL2dGW5T0eCPSW9BbwR+CkvNdMJYQjxwFXm9kX8bk3gDuBd4CPzeypvPdQ\n",
       "wf38xwOAv0XbWgLfrO0/17x5c4Y+PITWrVpx/kWXsFHnTgx9aEjikxhAk802p1H7DtCoEeuf91s2\n",
       "vOFWNrz+lkSaWdqblbbrFq7NrluWbX92KOtt0IFJgx+s/sU1pJD6oqhGbmkg6UpgkZndWq69P/A7\n",
       "Mzu0lrqtzGxxvH8x0NnMLij3Gt/yxnGcavEtbwJVjdyKas4tRSry+FZJe005WNIlhD6fCZycQMtx\n",
       "HMepAndu5TCzqyppHwWMSqD7D+AftX2/4ziOU3OKbc7NcRzHcdy5OY7jOMWHOzfHcRyn6HDn5jiO\n",
       "4xQd7twcx3GcosOzJesZK++6NHXNTW+7LHVNgKWnHpaJLkCz007LRHfxTbdnotvqovMz0QVovEc2\n",
       "/bxq7DOZ6GZl77c/+1EmupDd92dTXq/+RbUgq/VoH/TqnYkuQLe/XpmZdkX4yM1xHMcpOty5OY7j\n",
       "OEWHOzfHcRyn6HDn5jiO4xQd7twcx3GcosOd21oiqXfcC66q1+wo6aC0P/vDeQvYb9DTbHTlYDpc\n",
       "dg8H3fMMn3y11jvnVMj5f32ITY46m6YHnMRPL78tFc01NG1G89seosWjI2h68nmpSGZpb+sHn6XN\n",
       "i2+subW665HEmlna+9q48eyw6x606NCZ3nvuzeQpb6WiW4g2Z/HdQXZ9keUxnVUftz/9DLYcMZqt\n",
       "pr5NyX9eYf3jTkhFN+0+due2lpjZRDOr7gzdC/hJ2p/9+beLAbjyx7ty0i7b8vJHn3LG0BGpaAvx\n",
       "i336rLmfJk2OOAl12DA8SGmLpSztBWPV1Eks/eMfWPrHP7Ds3jsSK2Zl77Jlyzji2BNZvGQJt990\n",
       "PXO/nMeRx5/E6tUVbRK/dhSizVl8d5BdX2R1TGfVx826dmPD3/4O++475l1/HWrSlI6XXU6TTp0T\n",
       "25x2Hzc45yaplaTnJE2RNE3S0ZL2lTRJ0lRJgyU1i6/dRdJr8bWvS2otqb+kZ/O07ovPTZJ0mKSm\n",
       "wNXAMbHtaEkfSNowvqeRpA8lbbC2tu9eshH/OfNn/HqPHvzpp3vRfr3mvDv361T65U+/OZ7zjjgw\n",
       "Fa18tHlXmhx0JCuH3p+qblb2BsTquXNYOeFVVo4ezqpJydcqZWXvC8OG8+W8eZx1+gDOPO1UBpx0\n",
       "PDNmzmLk6DGJtQvR5iy+O8iuL7I6prPq49VLl8DKlaycO5cl48ex6qv/YcuXs3rF8sQ2p93HDc65\n",
       "AQcCs82sp5n1AF4C7geONrMdCAvbfx0d3GPAuWbWE9gXWFpO61LgZTPbDfgRcDPQFLgceMzMdopb\n",
       "3TwMHBffsx8wxcy+WlvDmzZuvOb+m59+yfyly9mr6yZrK1MpqW9cK9HsVxex8qWnWP3J++lqk4G9\n",
       "pco03e9g2jw9mtaPD6Ppj9NZlJyFvTNmzgKgyyablPk7Y9asVPQLz+ZsvjvIpi+yOqaz6uOVn3/O\n",
       "3IFXsN5OO1Hy/Es032Zb5l5xGasXpLPJcpp93BCd21Rgf0k3SOoLlAAzzOyj+PwDQD9ga+BzM5sI\n",
       "YGaLzGxVOa0DgIslTQZGAM2BzQHFW477gBPj/VMJzrTWvPflfH4+5Dm2bN+W23/WL4lUpjTufxDa\n",
       "sDOrxgxDHTqGxlatoU27ujWsGlY8/xRLr/1/LL3hMlixghbnXYo6b1zXZtWI7Bx+dqRpc6F+d1kf\n",
       "02n1cZONN6bTpZex/L13mXPWmSx/7z06XTEwlbBk2jS48ltm9qGkXsDBwLXAK+VesrbB3p+b2Ydl\n",
       "BKTdyn3mZ5LmSvoRsAvwy8rErh42Yc39vbt1Ye9uXco8/87crzlg0NO0bNaUYWf+lM5tWq6luesO\n",
       "degIbden+Y2D17Q17rs/fLeC7/52Sx1aVjUrHiu99vhu6+1o9vNjadRlc1bN/bwOraqYrluWAPDp\n",
       "Z7MBmD1nTmgvKakbg2pAljYX0neXI4tjOqs+btGzF1qvJYuGDWPxiFdovs02bHDu+bTo2ZNFw15K\n",
       "pF0TRr71LqPeerdGr21wzk3SxsB8M3tE0jfAb4AtJHUzs4+BE4CRwPvAxpJ2NrM3JbUBlpSTewk4\n",
       "Fzgnavcys8nAQqBNudfeSwhPPmBVXEZdccCuldr+6YKF7D/oab5espzz+vVk/Ky5jJ81l2N6/qDm\n",
       "HVAJz70+hbdnfBY+58uvuO+FUfTbYRu26lL7K7JV40ay+r+fANBos640OfJkVk95nZXD/1Uv7QVo\n",
       "tOVWND/lN6x8Yyxq3Jim+x0My5exesZH1b+5Duw96ID96dSxI3ffO5jWrVsx+IGH2bJkC/r32yuR\n",
       "biHanNV3B9n1RVbHdFZ9vOKTjwFo89OfsvKr/9Hm0MPAjBUzZyTShZr1cf8dt6X/jtuueXzNQ09X\n",
       "qtcQw5I9gNdjKPFywrzZqcBQSVOBlcAgM/sOOAb4i6QpBEfWArB4A7gGaBoTUaYDV8X2EcB2kiZL\n",
       "Ojq2PQu0IkFI8pOvvmXe4qWsNuPSF8ZxwqPDOPHR4bWVK8NtQ1/g0vuGIsHUGZ9y5u33Me6dD6t/\n",
       "YxXYnFmsfmNMuL07JbTNnYPNTKablb0AtmA+qBHNTziD5qeejX0xmyVXXYjNX+sp0nVib/PmzRn6\n",
       "8BBat2rF+RddwkadOzH0oSFIybPNCs3mrL47yK4vsjqms+rjFe+/z5fXXIWaNKXT5VeiJk358pqr\n",
       "WPHBB4ltTruPVYgx+kJE0s7ArWa2dxWvse9u/k36n91zt+pfVAtW3HtvJrrguwLk47sCBHxXgFKa\n",
       "nHVdJrqFtitAk/1PxMwq9NgNLixZF0i6GDgTOLaubXEcx2kINMSw5DrHzG4wsxIzG1vXtjiO4zQE\n",
       "3Lk5juM4RYc7N8dxHKfocOfmOI7jFB3u3BzHcZyiw52b4ziOU3T4Ord6hCSzxekUIF0XfHdhpVXE\n",
       "6i1Nb/l7XZvgOIn5ol+fTHQ3Gj0+E12A+zbaKnXNAQv/V+k6Nx+5OY7jOEWHOzfHcRyn6HDn5jiO\n",
       "4xQd7twcx3GcosOdm+M4jlN0uHPLCEl7S9o9bd3Xxo1nh133oEWHzvTec28mT3mrXute8Oo7bDrk\n",
       "ZZrf/QI/e/7NVDSz1IXC6+OsdLPUdt1sdRtvtgXtBw2h03/G0mnkG7S/814ad9k0Fe2sbG7Wri39\n",
       "/u9OjvvvR5wwewYHPZ9s30d3bhkgqQmwD7BHmrrLli3jiGNPZPGSJdx+0/XM/XIeRx5/EqtXr66X\n",
       "uhC2NT9mq43j/eR7jGWtW2h9nOV3V2g2u24pjTp2AmDhoL+w9Nknabbr7rS97JrEulna3Pevf6br\n",
       "UUfwwQMPMf7/Xcq3H3+SSM+dGyCplaTnJE2RNE3S0ZJmSroxbkT6uqRu8bUlkl6R9Jak/0jaLLYP\n",
       "kTRI0njgceAM4IK4YWlfSUdF7SmSRtXGzheGDefLefM46/QBnHnaqQw46XhmzJzFyNFjEv3/WekC\n",
       "3NZ3O87dccvEOutKt9D6OMvvrtBsdt1SvntrMvPPPJmlT/ydhbdej337LU227JZYNyub25RswRaH\n",
       "/IRPhv6TN6+6jo8efYzXzrkgkaY7t8CBwGwz62lmPYAXCbttLzCzHYA7gdwul38B7jezHYFHgDvy\n",
       "dDYBdjezI4BBwG1m1svMXiXs+n2AmfUEDq2NkTNmzgKgyyablPk7Y9as2shlrpsjq0IBWegWWh9n\n",
       "+d0Vms2um8eqlWvuNtl2e9S2LSsmJw/fZ2Xz+ttsDcCGvXfixC9mccLnM9l54OWJNN25BaYC+0u6\n",
       "QVJfM/s2tufKWTwG5ObP+gCPxvsPA33jfQOGWtkzbn687DXgAUmnkdImsYXkNAqVQuvjLL+7QrPZ\n",
       "daHxFlvS/ra7WDXnMxbenP7u3WnZ3KhZcwCarLceI046jS/HT6DH+Wez8d571VrTd+IGzOxDSb2A\n",
       "g4FrJb1S0cvy7lc2ybOkis/4taRd42dMlNTbzL4u/7qB112/5n7/vfrSv1/pl9t1yxIAPv1sNgCz\n",
       "58wJ7SUllX1sjchKtxAptD7O8rsrNJtdtyyNt+xGh7vvx5Yt4+szT2H1118l1szK5oVxRDh33Hj+\n",
       "+9wLrNepIxvvvRdtSrbg81GlIc/3Vq7g/VXf1UjTnRsgaWNgvpk9IukbYEB86hjgxvg3t4v2WOAX\n",
       "hFHbccDoSmQXAm3zPqObmU0AJkg6CNgU+L5zu/SSSu086ID96dSxI3ffO5jWrVsx+IGH2bJkizIO\n",
       "sDZkpQvw/KwvefvrhQB8umgp97/7KXtt0oGt2rWql7qF1sdZfneFZrPrltKo80Z0GDSERu3aseju\n",
       "O2i2Q0/YoSfLhj1fL23+euo05r/9Dpv078fWJx3PD47/JatXruTL8RPKvG6bJs3YpkmzNY+fWbG0\n",
       "Uk0PSwZ6AK9LmkyYG7s2treX9BZwDpCb3TwHOCW2Hwecl6eTP7p7Fjhc0iRJfYGbYnLKNOA1M5u6\n",
       "tkY2b96coQ8PoXWrVpx/0SVs1LkTQx8agpQsWzArXYA/TZnBZeM/QIJpXy3k16OmM+6L5MWhs9It\n",
       "tD7O8rsrNJtdt5Qmm25Go/YdQI1o/ZsLaHftzbS75qbEulnaPPLUM/h2xkz63PRHmrVrx+gzfsOC\n",
       "9z+otZ7vClAJkmYAFYYOM/xM3xUgY3xXAKcY8F0BAr4rQO1wr+84jlOg+JxbJZhZ17q2wXEcx6kd\n",
       "PnJzHMdxig53bgVKGlUM1qXuqNnJ05DXtXah9XFWullqu262ugBjFy7ORDcrm99buSIVHXduBcrI\n",
       "Ma8WlO6oOdnl5WSlXWh9nJVultqum60uwNiFlS6/TURWNtd0HVt1uHNzHMdxig53bo7jOE7R4evc\n",
       "6hGS/MtwHMdZCypb5+bOzXEcxyk6PCzpOI7jFB3u3BzHcZyiw52b4ziOU3R4+S1nDZI6AJvWZscC\n",
       "p3IkNSLsILGlmV0taXNgo7gFUhLdvsAUM1sk6QSgF/BnM0u8lbOk1sBSM1slqTvQHXjBzNJZhJQB\n",
       "kloCm5nZ+yloPVvF02Zmh6XwGanZuy6QtIGZZVeNgXTPQT5yKxAknS+pnQKDJU2W9OMUdEdJaht/\n",
       "VBOBeyX9KQXdvvEEiaQTJN0maYukulHv5mhzU0kvS/pfPLkn1e0rabikDyXNiLdPUjD5LsJO7sfG\n",
       "x4tiW1LuBhZL2hH4LfAx8GAKuhD2KWwuqQvwEnACMCSpaFZ9LOkwYDLBViT1kvRMAslbq7jdlsza\n",
       "TOzN156W214r7/aqpD9J2iCB9HhJQyX9RGnscVNqbybnIMzMbwVwA6bGvz8GngJ+CExOQXdK/Hsa\n",
       "cFW8Py0F3WmEHct3JBzEvwFGpdQXb8W/hwODgXa5/kmo+z5wENAZ2DB3S0F3cv7f/P8hJd0rgdPi\n",
       "/Ukp9XFO+xzgohRtzqqPJwHrl+vj6Wn0RRa3LO0FbgauJ+xTuQPwR+B24GLg2QS6jYADgMcIF1LX\n",
       "A1unYG8m5yAPSxYOuSulg4GHzGx6ShdPjeNO5EcDl8W2NNaHrDQzk/Qz4K9mdq+kAdW+q2bkfreH\n",
       "AE+Y2TcprRFcYGYvpKBTnhWSGuceSOoIrE5Bd6GkPwDHA3vFz2iagi4AknYnhFNz31sakZ6s+vg7\n",
       "M1tQ7phI3MeStiY4h+2BFrHZLPmuIZnYG9nPzHrlPZ4qabKZ9YqbJdcKM1sNDAOGSfoR8DBwlqQp\n",
       "wCVmNraW0pmcg9y5FQ4TJQ0DugIXS2pLOgfD1YTQyGtmNkFSN+DDFHSzPPE+K+k9YBnwa0md4v1a\n",
       "Ial3vDtC0s3Ak8Dy3PNmNimJscBfCKPtTpL+CBxJ6UGchGMIoc5TzeyLOJd3Swq6AOcDlwBPmdnb\n",
       "8XcxIgXdrPr4bUnHAU0k/QA4F6jtyTaf+wkj49uAA4FTgMZVvqNmZGUvBGexm5m9DiBpV0ovTFbW\n",
       "VlTShoSLnROBucDZwLOE6MwTQEktpTM5B/ki7gIhJiX0Aj6OV3wbAF2sniZ/SNqIcCBMMLMx8cTb\n",
       "38xSmROK8flvLCQ8tALamNkXtdQaSRVXima2T+2sLPMZ2wL7xocvm9m7STWzRFI3M/s4A92RVNDX\n",
       "Sfs4/gYuJYTNIJwsrzGzWl/0RN1JZraTpGlm1iO/rT7aG7V3ITjl1rFpIWH0/TZwsJn9o5a6HxBG\n",
       "a/eZ2WflnrvYzG6opW5fM3u1ura11nXnVhhIetnM9q2urRa6NwHXAkuBFwlXYReY2UMJNJsAw9Nw\n",
       "CpXotyIkUGxuZqfHK9/uZvbvhLpdzeyT6tpqqd0e2JwQLTFIPlqRdARwA2H+KhffMjNrm0Q3ao8G\n",
       "NgXeICSXjDazWoe0ChVJY4G9CCOTl4E5wPVm1r1ODasBktoBmNk3KekdXd4xVtRWC93J5cKoqVxA\n",
       "eFiyniNpPaAl0DGOVnK0Bbqk8BE/NrOLJB0OzAR+DowBau3czGylpNWS1jezBSnYWJ77CVlVe8TH\n",
       "cwgnn0TOLWqUP6CGAr0reG2NkXQNcDLwCWVDyUmd/03AIVmMAs2sn6TmwM5Af+A5Sa3NrEPV76wa\n",
       "SesTwnz9YtNI4OqkJ2BJ/wGOzP3e4rHydzNLmlF8PuH4Oxe4hnDcnZRQM0t7kdQCOIIQJmwS5/XM\n",
       "zK5OKH0xUN6RXVJBW42Ic7p7EM5tv6X0Aq0NKYR+3bnVf84AzgM2IZzQcywE7kxBP6vkjMXANEnD\n",
       "430IB9i5KWh3M7OjJf0iii5OklwTQ4bbAetL+jnhIDPCiaxFVe+tIccQbE5nF8ZSvsgqvKmwhq4f\n",
       "0JeQ1fccYQSXlPsImbRHEfr5BMLFys8T6m6YfyFlZl9L6pxQEytdi7iQcIGSFpnYG/kXsIBwvkgj\n",
       "zHkQ8BNgU0l3UNYJJVn32IxSR9Ymr/1bwrx0Ity51XPM7HZJfwH+YGbXZPARqSZn5PFkvOUcpUgn\n",
       "CxNgeRzRBuEwAb28itdXR3fgUMKSgkPz2hcCpyfQzfE20J4wCZ8mb0p6HHgayDlOM7MnU9AeRTg5\n",
       "Xg88b2ZJ+jefbmaW78gGSnorBd1VkrawuIBdUgnpZEt2By4kjoJis5nZjxJKZ2JvpEsaI8A85hB+\n",
       "Cz+Nf3PH8kLggtqKmtkoSa8BPczsqjQMzcfn3AoESVPMrGdG2qklZ5TTbUmYF3svsZFldQ8gTMZv\n",
       "BwwH9gRONrNE2XySdjezcSmYWF53F8LV9HRKnbBZwioXkobktPLbzeyUJLpRe33CqG0vYFdgFTDe\n",
       "zBJleUoaD/zezMbEx32Bm81s94S6BwL3UDq67Af8ysxeTKg7lbBYfhKhDyB8dxMrf1eNdDOxN2rf\n",
       "A9yZdrKZpKaEjOdUj+n4m9jdUnZG7twKBEm3AOOBf6b5I8gwOeMwwmLS5mZWIqkXYYFm4rJFUX9D\n",
       "oE98ON7M/pdA6y9VPJ04lCrpXcIJcjqlV+dmZqOS6GaNpO0IJ91+hLmR/5pZv6rfVa1mT0IVlXax\n",
       "aT5wkpklHr0prB/sQ3D2iX4TeZoTzSzRnGsV2qnbG3XfBbYCZlD2YmqHhLqZHNOSBhGmXYYCS/Ls\n",
       "TRSBcOdWIEhaRJjYXkVp2DBxZpykfxBCDSea2fbR2Y01sx0T6k4CfgSMyGVCSZpuZj9MopunvyOl\n",
       "oaJc9mGtDgZJJ1M2fJqPmdkDtbNyjf4bZrZLEo1KdLsTynhtFL+7HYDDzOzaFLQ/IVQTGUMYXUxI\n",
       "c85QYZ0mZvZtippd+P5vItE8oaSBwDy+vy7v6yS6UTt1e6NuSUXtZjYzoW4mx3RWEQifcysQzKx1\n",
       "DB/+gHSSHHKkmpyRR2YVGCTdTygt9HY5zVo5NzMbkoJZVTFG0vXAM6S7cPlvwO+BQfHxNODvhKUd\n",
       "SfmBma2q/mU1Q9IJZvaQpN+RdxJT+IGYmSWq1yjpRkLizjuUhg8heRLMyQR7L8xrM0IxhVqThb2S\n",
       "2saLhdQuGMqRyTFtZicn1agId24FgqTTCenImwJTCOGMcYQrqSSknZyRI8sKDLsB26ceow/JNBcR\n",
       "5vJyfZJG8sBOhBNin3LtSZcCtDSz13MnGzMzSWlV7d9KUv6ocEfg0ASjwpbxbxvSSyzK53BCOD2t\n",
       "xBcAzKwkTb08srD374TyfJP4fh8ndshkdExL2gy4gzDHC8HBn2flFoqvNVYPioj6rUbFRacTTri5\n",
       "IqPbEkojJdU9gJAZNw94FJgF7JOCbitCTb434+06oEVKffEAwbml3cfDCcVb3wP2JqSo31TX330V\n",
       "9r5AmFvJFTk+krAtTRraowkXETltAW+noNu3Jm217Is2GfRxM8JSnH8S1kGeAzStr/ZmecvqmAb+\n",
       "QyhrlktYOZlQBCKRrs+5FQiS3jSznRWKlPYxs2WS3jGz7VLQTi05I0/zKDMbWl1bLbX7E0J8X5Du\n",
       "hHmu1NLUnFau3xPqZrVwuRsh424PQmLGDOA4Szi3ErVzv7c11SPSyNhVRtUoJD1JqK7zMmV/E0mT\n",
       "gQYTIlwPULoub6WZnZZQNxN7o7YI6wb7EsKGr5rZU0l1s0LSW1Zujr+itrXFw5KFw6cKJZyeBoZL\n",
       "mk+oKJIGzQknxybAdpKw5BPbfyBkP1XXVhsGEwoy52cfpkEuYeILSYcQ1ve0T0E3k4XLFmo/7huT\n",
       "gBpbiskZwDxJW+UeSDoS+Ly2Ysq4GgXhYucZ0l9XuUu5i6aX4/KApGRlL4Qko26EMKWAMyXtb2Zn\n",
       "1UZM0p/N7DxVvIGrWfIM6K8U9mN8lGDvL4DEF9ju3AoEMzs83h2oUHy2LaEWZCLSnthWaTWDb0MN\n",
       "jAAAEflJREFULkq3mkE+X5pZKhs7luO6OMr6HaGSf1sSLFLNI5OFywrFqa8jLNo9MKbu725mg5Nq\n",
       "Eyq+/x/QXdIcQumw4xPoZVqNwsyGZLSucqWkrczsI1gzWq51Zf0cGdoLYS53Owtb1OSyEd9JoJcr\n",
       "dn5rBc+l4ZBPJRxvuaSisYQwZSI8LNnAUaj03cNSmtiOiQe9CNtYXE6pc/uWkEI8P4XPuItQEupZ\n",
       "0q/MkToZLlx+kTACvNTMdoiLbCdbCsstVLY+YQfC92eWsD6hpJI0wqYV6Ga1BmtfQh/PiE0lwClm\n",
       "9kp9tDdq/xs4O9fPcWnAnWZ2SELd1sBSi1m0CttYtTCzxVW/s27wkZvzMeGqOhXnZmEx7luSHjGz\n",
       "tEZq5WlJsPeAcu3JFn1mt27sTOCBOCoE+Jp06hRuaGaPS7oYwMy+k5R4VBHJr084JyVNgCUKBQnS\n",
       "zkgdSEiAGREFJ0tKmh2Imb2ssGFpd8Io5f2ULgQHkoG9kbbAu5ImEGzeFXgjhhWThBFfJmzbtCg+\n",
       "bknYqmePSt9RA+Jo+HZg92jvWMLOJIl243Dn5iwFpkhKe2L7gwrWy5kl38EYy2hdDNmtG3uPUMG/\n",
       "G2HE+Q2hTl/S0OQihX39AJDUJ2qnQdr1CXM8AjxOKNR9BsHJz0tBN9U1WJL2jY7tCMIJNye8VZyT\n",
       "TholyHIn7ivi34oKEyQJ1TU3s5xjw8wWxtBqUh4lFIHPhe6PIRx3uyURdefm5Ca280llIj7vfgvC\n",
       "vMoGlbx2rYjr8gZQevWfq+5wakLprNaN5Y+CZqegl+N3hNBsV4V9xzqSwvxVZKykHSz9zXA3MLN7\n",
       "JZ1rofzYKElvpqCb9hqsfoSRyqFUfDwkdW6ZrQM1s5GSNiaM2FYDb1gKtWKBxZJ6W6yrKWlnwsVx\n",
       "UtazsvtHPizp90lFfc7NWWekkfIddZ4A3iXs9H0VIdHh3RTSvl8grGMaama9YobgADM7KKFuamXH\n",
       "yum2ICQBdSdcnb8PNLJ0dnPOqj7heDPrI2kYYeHuHEJ/d0uo2xK4jAx2ts4CZbsT92mE0VuukHh/\n",
       "wtKTRIlGCgXAH6M0a3Zj4BgzS3RxEpPaFhBGaxBGbu0J0Q6slqXO3Lk1UCQNNbOjJFW0u3IaJ7He\n",
       "lF7xNiJsevnrpGtXovYUM+uZW48WEyleNbNEYYwY+/8/whzCAmKGYNIECGVXpf17FwspXkCUVNSe\n",
       "Ql8cSqhXuRmlGakDk2S/KsOd31WuXFjkG2CimU1J+/PSICaJ7W5mX8XHGwDjzGzrFLSbATmd99OY\n",
       "V5c0k8qjRbWeyvCwZMPlvPj30CpfVXtupfQHu5KwJu/olLRzGZLfSOpBWMzdMQXd2YTMuBGUZgie\n",
       "SMj8XGvyLhwaA6dISmUUFENOmwAtJe0EZTZXTWMOJLETq0I3t1ZqAWFEkYZmlju/9yZcmD1L6OeD\n",
       "CXOxZ0p6wsxuXBuxdbBmDMIasUV5jxeRwrqx6Nh+TV4xAkmDUnBwFwEvmtm3kq4gZFtfa0m3FfKR\n",
       "W8MmhkeWWdjLrTshxPVChpmOiYlhlycJxZPvJ6ybutzMBlX5xup1X6J0bmzNmj8zq2h9T030Sqp6\n",
       "vrYORNJJhESMnQllkHIsBIbU1yURkF1GqqRnCCfFVHd+lzQGOCiXSBHT4Z8HDiSM3rZdS73eZjZR\n",
       "ocpOecxS2AZJ0kPADwlzvRCSl6bGm1kti1Qru2ot08ysR1wicy1wC+F4ThaJcefWsFHYxqIvIcb9\n",
       "GvAGsMLMjkuouyGh5FRfwqhiDCHu/1Uyi8uEivKzwL4B3kwSKspqbiwrJB1pZk/UtR1rg6TRxIzU\n",
       "OK8pYLqZbZ9Q9+R4t0zFD0u+XdF7wA4Wt/uR1ByYambdVUEpsbXQzWzNmMI2PVBJ9ROr5a7XyitL\n",
       "V1VbLXRz0ww3ANPM7JEkfZvDw5KOzGyJpAHAXWZ2k1KonkGYeB5FSO8VcCwhBXy/FLTzQ0UQ0sqn\n",
       "AWfUJlSUR1YZgplQaI4tkklGqmVX8eMR4HVJTxN+x4cCj8aIR5KqH5msGQMws4EAktrExwuTakYy\n",
       "qdYCzI7z0vsDN8REqUZJRd25Obm6f8cR0ushhR8WIex0Td7jayUdk4IuhGSEnfJCRVcSQkV7E0KK\n",
       "azsPksncmFMhqdaszNNZU/EDSK3ih5ldo1AJJud0zsjLDkwS3chqzRhxHvpB4tIbSfMIu51PTyj9\n",
       "e+CVeHwAbEEonZWUowlh3pstrP3bOH5WIty5OecDlxC2z3k7Xo2NqOY9NWGYpF8SRmsQigYPS0EX\n",
       "QvJI/q7Q3wGd4wi0NqnUWSXVON/nbMJOBrmalTNI5iRyDCS7ih8tgIVmdp+kjpK2NLMZ1b6rapZk\n",
       "tGYMQv/+1sxGRO3+lO4ekYQNCPPcJYR5vN0Jc9SJiKHYf+Y9/pw0Lnh8zs3JAkmLCKGWXNWFRpSd\n",
       "6G+bQPtyQrgzP1T0DGEi+p6k84X1HZWtmvG9A7i+JpTEeaUbzezCOOfUyFLayUDS62a2m8pu0ZPG\n",
       "fNBAQhi8u5ltLakL8A8z2zOhbvk1YxsBv0i6ZixqZ7KFTFaJH1nhI7cGjqSKRmlmCWv9mVnrJO+v\n",
       "RjsXKtqTcHJPK1RUKOSqZnQiXI3nivjuQ6hyUS+dW8zI7StJ+SG5lMiq4sfhhCzMiQBmNjs3l5WQ\n",
       "LaPuFoQLtVw1kTSYES8AHyJcAB1HWLOZlFwG8SHA38zs35KuqeoNdYk7Nyc/tp2rBJ9K8d2Y5l1C\n",
       "3u8srVGFmb1ByOxscFisrSlpOGFrk8/j440Jadr1mSnAvyQNBZbENkvhd3E2oULJckKli5eANE68\n",
       "y81sdS4BJiaSpMHlZvYPSe0IFyW3AHeTsJ5i5FRC5Z5cn44hnbmxTBI/ssLDks73kPSGme1S/Sur\n",
       "1LifEJ9/m7wrUjNLvE+TE4hp6ttaPIglNQLeMbNt6tayylHYW6yiUGqtfheSHjKzEySdb2a3J7Wv\n",
       "nLYI2zZ1IZTJup7gJB41szsSameS/p4l0bEfSFgK8WG8mOphZmnNpaeKO7cGjqQOeQ9zZbL+bGbd\n",
       "E+q+A2xv/gPLDEl3Ekoh5XYwPgb40MzOqVPD1iHxd7YfYePe/uWft1rWJYzaIiwxuQDI7ZDwkpkN\n",
       "r61mnvZzhIo4+xPCk8uA15POi0Xt7sCFlI2aJJ5qKDTcuTVwVLauW65M1lVm9mpC3QeAm8zs7UQG\n",
       "OpUST76HE8ohGTDazJ6qW6uqJv4uzrNYJktSe+BWq+WODpLOJZSE6sr3950zS7jFUrT3r2Y2IYlO\n",
       "BbqZjYIkTSWEOCdROk9mlrCcVaHhzq2BE9fWnEWoJLIaeJWwmDtRdfKYfvwMoe6jrxlzgNJwXHVt\n",
       "tdAdZGZnJrOuQt33CbsjzKJstm+9/R1LmmhmvevajrrGnVsDJ07sfws8TGklkXZmdlRC3Y8J4Zzp\n",
       "lJ1zm5lE1yklLgm4AehMaSmyRMsssiZWv9knFy6MYfFRZtYjBe29gK3M7H5JHYHWSdejKaPdEbIg\n",
       "9qUI2zbNIySUrNk1PEmIthBx59bAkfSOmW1XXVstdMeZ2e7JrHOqIl5AHGJm79a1LTVF0omEfcz+\n",
       "QTgRHwVcZ2YPJtQdSJgv3jpvPdpQM0tczqpQUEZbxxQqvhTAmSRpdzMbByCpD3FNT0ImS3qUUP8x\n",
       "V00kjZRvp5QvCsmxAZjZg5ImEtLfAQ43syQ1GnNUtB4ts7WW9REzKwGQdDQVbCFTl7bVBe7cGih5\n",
       "9RSbAK9J+pRw1bc5YUfnpLQkOLUDyrW7c0uPNyU9TqjUUkgXEB2AxbnwYUrlrLJaj1aI5NbQ9QV+\n",
       "RKi5eRfprKErGNy5NVyqqqeYOFadW2jsZEo7Qj3CgrmAyC9nRdiLrxlhvrfW5axi1ui/Jf0fsL6k\n",
       "XxHWo92b2ODCpHwlkeckNbiRm8+5OZkgaTPgDkIWJsBoQgr4Z3VnlVPXxISSXoSNPlOpAZnlerRC\n",
       "JMs1dIWEj9ycrLifsBfW0fHxcbFt/zqzqMiQtB5hm6LtgPWII+7arhlbR6QePjQzi/N435jZhUn1\n",
       "ioBMtpApNOptXTCn4OloZveb2XfxNoRQ6NdJj4cIywAOBEYS9rlLuyBxalQSPnyZdMKHfYBxkj6R\n",
       "NC3eCmLT2bQxs8Vm9k8z+zA+/ry+lsjKEg9LOpkg6RXCSC1XGuoXwClmtm+dGlZE5NUnnGpmO0hq\n",
       "Crxq9XQLkozLWZVU1F4f16M56wYPSzpZcQpwJ3BbfDw2tjnpkcuQ/EZh9+UvCBu51kuyDB+6E3PK\n",
       "487NyYqrgRPNbD6sqZ5wC+lsveEE/hb79TJCqbPWhCr29Zk+wPGSCqaclVOYeFjSyYSsagg6hY2H\n",
       "D511hY/cnKyQpA7lagg2rmObnDrGnZizrnDn5mTFrYTstTI1BOvWJMdxGgoelnQyQ9L2hPI/BryS\n",
       "Ug1Bx3GcanHn5jgFSrkCuZcDOwHXmNmkOjbNceocX8TtOIXL5dGx9QX2BQYTdmB2nAaPOzfHKVzK\n",
       "F8j9N6EQseM0eNy5OU7hMlvSPcAxwHOSWuDHtOMAPufmOAVLLDp8IDDVzD6MBXJ7NMQ6go5THndu\n",
       "jlNgxDWDlZJbW+g4DRl3bo5TYEiaSVheIcLO6fPjU+2BWWa2ZR2Z5jj1Bo/PO06BYWYl0YENBw4x\n",
       "sw3MbAPg4NjmOA0eH7k5ToEiabqZ/bC6NsdpiHj5LccpXOZIugx4mBCiPBaYXbcmOU79wMOSjlO4\n",
       "/JKwu/lTwJPx/i/r1CLHqSd4WNJxHMcpOjws6TgFhqQ/m9l5kp6t4Gkzs8PWuVGOU89w5+Y4hceD\n",
       "8e+tFTznoRjHwZ2b4xQcZjYx3l2Ydx8ASYfUgUmOU+/whBLHKVz+JqlH7oGkXwJX1KE9jlNv8IQS\n",
       "xylQJHUFniAsAdgLOJGwqPubOjXMceoB7twcp4CR1B14GpgF/NzMltSxSY5TL3Dn5jgFhqRp5Zo6\n",
       "AQuAFYRsyR3WvVWOU79w5+Y4BYakkqqeN7OZ68QQx6nHuHNzHMdxig7PlnQcx3GKDndujuM4TtHh\n",
       "zs1xHMcpOty5OU49RNIqSZMlTZP0D0nrJdAaIumIeP9vkrat4rV7S9q9Fp8xU1KHmraXe82itfys\n",
       "gZJ+t7Y2Og0Ld26OUz9ZYma9zKwHIcX/zPwnJa1N6TyLN8zsdDN7t4rX7gPssbbGUnlNy5pkrK1t\n",
       "VptnwTnV4s7Nceo/Y4Ct4qhqjKR/AdMlNZJ0s6QJkt6S9CsABe6U9J6k4YR1cMTnRkrqHe8fKGmi\n",
       "pCmShkvaAjgDuCCOGveU1FHSE/EzJkjaI753A0nDJE2X9DfCZqlVIukpSW/G95xe7rnbYvt/JG0Y\n",
       "27pJeiG+Z3RcsO44NcILJztOPSaO0H4CPB+begHbm9ms6MwWmNmukpoDr0oaBuwEbA1sC2wEvAMM\n",
       "ju83wCR1BO4B9opa65vZAkmDCAWZb4uf/yjwJzN7TdLmwIvAdsCVwGgzu1bST4ABNfh3TjWz+THE\n",
       "OkHSE2Y2H2gFvGFmv5V0edQ+J9p3hpl9JGk34C5g31p2pdPAcOfmOPWT9SRNjvdHA/cBewITzGxW\n",
       "bD8A6CHpyPi4LfADQp3JRy0sYv1c0ivltAX0ITinWQBmtqDc8zn2A7aV1jS1kdQqfsbh8b3PS5pf\n",
       "g//pPEk/i/c3i7ZOAFYDj8f2h4En42fsAQzN++xmNfgMxwHcuTlOfWWpmfXKb4gn+cXlXne2mQ0v\n",
       "97qfUH2YsKbzVgJ2M7MVFdhSbSgy7/X9CaOuPma2TNIIoEUln2eEKZP55fvAcWqKz7k5TuHyEnBW\n",
       "LrlE0taSWhJGesfEObmNCUki+RgwHuiXK+WVl9G4EGiT99phwLm5B5J2jHdHE3YjQNJBQPtqbG1L\n",
       "cFbLJG1DGDnmaAQcFe8fC4wxs4XAjNyoNM4jes1Mp8a4c3Oc+klFIysr134vYT5tUiymfDfQ2Mye\n",
       "Aj6Mzz0AjP2ekNn/gF8RQoBTgL/Hp54FDs8llBAc284xYeVtQsIJwFUE5zidEJ6cRcXk7H0RaCLp\n",
       "HeB6YFzeaxYDu8b/oT9wdWw/DhgQ7ZsOHFZN/zjOGry2pOM4jlN0+MjNcRzHKTrcuTmO4zhFhzs3\n",
       "x3Ecp+hw5+Y4juMUHe7cHMdxnKLDnZvjOI5TdLhzcxzHcYoOd26O4zhO0fH/AfPwppu7uqkkAAAA\n",
       "AElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113e790d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "guesses = dmoz_encoder.inverse_transform(np.fliplr(np.argsort(clf.decision_function(X_test))))\n",
    "real_labels = dmoz_encoder.inverse_transform(y_test)[y_test != predicted]\n",
    "pred_labels = np.array([g[1] for g in guesses])[y_test != predicted]\n",
    "cm = sklearn.metrics.confusion_matrix(real_labels, pred_labels, dmoz_encoder.classes_)\n",
    "analysis.plot_confusion_matrix(cm, labels=dmoz_encoder.classes_, title=None, showwarnings=False, cmap=plt.cm.Reds)\n",
    "plt.savefig('confusion_first-was-wrong.pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Confusion matrix of the second guesses, first guess was correct"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAbcAAAG3CAYAAAA3lxvrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4VMX3h9+TEEJIgISShNASEOm9gwKCFBW7gOaHAkqz\n",
       "8hV7b4gKCiqKIiggoAiKWClKEaRKCb2TQEhIDwRCQknm98duGhBS7g5kl3mfJ8/enZ37ueeeO3dP\n",
       "ZvbOHFFKYTAYDAaDK+F2tQ0wGAwGg8HRmOBmMBgMBpfDBDeDwWAwuBwmuBkMBoPB5TDBzWAwGAwu\n",
       "hwluBoPBYHA5Sl1tAww5iIiZl2EwGAxFQCkllyo3wa2EkXY+tVD1Rr/1Lq++8Uqh6s49+F2hj//z\n",
       "xF+5+8k7ClV3Q/SuQutumL6WtoM6FLp+26CGha5bFJv71QkttG5RfFwUiqrb+duHClUvasEuqt1V\n",
       "eL+1DalZ6LpFuX4f3ji60LpF8UVh/QBF98XKh74tVL2S0iZc+Z4uir0D6w3N9zMzLGkwGAwGl8ME\n",
       "N4PBYDC4HCa4OSmdu9yoRbd+23padKs1r65FF/TZrMvHunTL1a+iRRf0XT9n84WztQlwvnvaUfaa\n",
       "4OakdO7aWYtug3a6boQaWnRBn826fKxLt7zW4Kbn+jmbL5ytTYDz3dOOstcEN42IyP9ExMuRmmtW\n",
       "r6VNi7b4elekY9tOhG0Jc4jurNHf82THUQyqP4wJIyY6RBOgildlnmr2GO93eptxN4zh8abDqVSm\n",
       "omVdXfaCPh/r0gUo7e7BvHs+Yd2guTzb7mGHaOq6duB8vnC2NuFs9zM43mYT3DQhIu7ASKCsozTT\n",
       "09MJ7RdKauppxo0fS2xsHKH9B5CZmekAdaH9bW2ztx1FhdIVAPgjfBHrYjZQz68uofX6O0BZj726\n",
       "fKz32sEjzfpSpaztS8ZR80l0XTtn84Vztglnu5/B0Tab4FZMRORnEdkoIjtEZKi97JSIfCgiYcDL\n",
       "QBCwXESWioibiEwXke0isk1E/lfUYy5etIS4uHiGjRjK0OFDGDR4IBHhEaxcsdLy+Qx49X56Deph\n",
       "WedCDqWE8+nWSayKXsNPBxaQdj6Nqt4BlnV12avLxzqv3XV+tXig0W18tWWuZa3c6Lp2zuYLZ2wT\n",
       "znY/g+NtNvPcis/DSqlk+7DjBhH5CVsvbZ1S6lkAEXkY6KqUShKRVkCQUqqJ/bMKRT1gRHgEAEHV\n",
       "gvK8RkQctnwyADpy+2WqnP9Ca5arjlcpL8LitzlEW4e9unysS1cQXuk0gnm7F7I74aAlrQvRde2c\n",
       "zRfO1iaycLb7GRxrs+m5FZ+R9h7aWqA6UBfIAH7Kp/5BoLaIfCoivYAUqwY4U6LZgLL+DG/8CInp\n",
       "SczbP/9qm1NodPnYUbq3172JQJ8q/HlwJf7elQAoV9qbCp7lHKIP+q+dM/kCSn6buBI4w/1sem7F\n",
       "QES6At2B9kqpdBFZDpQB0lU+LVQpdVxEmgK9gRFAP+CRC+uNfuvd7O3OXW7M8xRVSO0QAI5GHgUg\n",
       "OiraVh4SbPGM9BJYNoCnmj/K2YxzfBr2BSfPnbraJuWLLh/r0vX3roRfmfLMvvPD7LLedW7kTMZZ\n",
       "3lsz2ZI26Ll2zuYLZ2sTurma9/Pu9XvZs2Fvoeqa4FY8ygPJ9sDWAGifT72T9rpJIlIJOKeUmi8i\n",
       "+4CZl9rhckvw9OrdE3//KkyZPBUfHx+mT5tBcEiwQx4jDluxjah9UQAkHUvkn3mrqN+2HgG1/C3p\n",
       "+nr68lTzx/AuVZZlkQupXaEWUItNcdaeCtNlry4f69L9O3wNB5KPAFDHtwZDW/RjzdEt/LRniSVd\n",
       "0HftnM0XztYmwPnu58La3KBdvTxTBRZ89lu+emZYsngsAkqJyC5gDLahSbj44ayvgEUishSohu3h\n",
       "ki3YAtuLRT2op6cns+bMwsfHm+dGPU9gYACz58xExPqTRQu/XsK88T+DQOTeKKa9PpP9Ww5Y1q3i\n",
       "VQkfD29EhDtq38rABgMY2GBAibVXl4916UaciGLF4fWsOLyezTG2dQGjTsayLyncki7ou3bO5gtn\n",
       "axPgfPczON5mcaZxXldHRFRhF04uCkVZZLUoFGWR1aJSlIWTi0JRFk4uKRRlweCiUJSFk4tCURZO\n",
       "Lgq6/ACFXzi5pGDuaRsD6w3NNyuA6bkZDAaDweUwwc1gMBgMLocJbgaDwWBwOUxwMxgMBoPLYYKb\n",
       "wWAwGFwOE9wMBoPB4HKYSdzXALoef9+d+G7BlYqJLpv7/v6kFt2U9DNadAE+vU2PzZO3/qhF99u9\n",
       "07To6nxcPyzxPy262xJ2aNENPxGtRVfXNA7Qd+/lh+m5GQwGg8HlMMHNYDAYDC6HCW4Gg8FgcDlM\n",
       "cDMYDAaDy2GCm8FgMBhcDhPcDAaDweBymOBmMBgMBpfD5ea5iUgw8JtSqokFjSDgE6VUX0fZ5SjW\n",
       "rF7LyCdGsn/fARo2asCkyZ/TvEXzEqsLMGPIdBIjElCZCr8aFen6aFdqt69jWVeXzVN7fEAVr4rZ\n",
       "78NPHOV//7xlWdfHoyxPtXyQjkEtcRc39iVHMHK59bmC41/+lL9/Wc7xxON0vLk9H856z7JmFqXc\n",
       "SvF2+xcJKFuFZZGrmL3X+ty42MNxzHrje6L2R5NxLoOQZsH83+v3U6VGZcvautqELh/r9MW1ft+Z\n",
       "ntslUEpFl8TAlp6eTmi/UFJTTzNu/FhiY+MI7T+AzMzMEqmbRfUm1ekxqicdB3Ui4VA8i8ctsqyp\n",
       "1Wal2JGwj3EbJzNu42Sm75pnXRN4oe1QutfsyO+HVjBxy0yOnop1iK6I0OPubtnbjuTO2rfg5+kL\n",
       "gLooF2/xOBF3AoA7nriNjne3Z8/avcx83Xp+Mp1tQpePdfkCzH3nqsGtlIjMEpFdIjJPRMqKSISI\n",
       "VAQQkdYisty+3UVEttj/NouIt4gEi8h2++eDRGS+iCwUkX0i8kHWQUSkp4isEZFNIjJXRLzt5e+L\n",
       "yE4R2SoiY+1lfUVku4iEicg/xTmpxYuWEBcXz7ARQxk6fAiDBg8kIjyClStWWnKWLt0suo+8mTod\n",
       "r6NW62DcS7vjU7mcZU2tNosQl5bAxtjt/Bu9kbB46wkcq3pX4YZqrVh6ZA1Tts1lUcQqxv031bqt\n",
       "wNPvPsn9wx3/v1h1nyB61OzKgkN/OlS3TvPaPDN9JF0f6Ez/l+6jbHkvjh08ZllXZ5vQ5WNdvgBz\n",
       "37ncsKSdesDDSqm1IvI18Bjk+2/nM8Bj9rplgUuto9QMaA6cBfaKyKf2eq8A3ZVSaSLyAjBKRD4H\n",
       "7lJK1QcQkfJ2jdeAnkqpY7nKikREeAQAQdWC8rxGRBwujpx23SzST6bz6W0fA1DaqzTdn+puWVOr\n",
       "zUpxU42OdKvRkRNnTvLt7vn8feRfS5LB5asBUL9iHRbf+zWZKpMf9y/mq20/WLcXQDmmV5WFIAxu\n",
       "GMrSyJVEpBxxqLa7h3v2dsSOw5xOSaNlT+vDWrrbsaN9DPp8Aea+c9XgFqmUWmvfngWMvEzd1cAE\n",
       "EZkNzFdKRV1i2GGpUuokgIjsAoIBP6AhsMZevzSwBjgBpNuD6u/2v6zjzBCRucD8/IwZ/VbObzCd\n",
       "u9xI566d8zVcabjZdOiWLlua+z95gMSIRJZ/vowFry3g0R8fQ9wcN7zjSJsXH17J0VMxeLiVYmDD\n",
       "+3i82YNsi99NXFpisTU93D0AKONemjfXTuTu63rwQP3b2Bizg81xOx1lusO4Iagdlcr4sfbYBqr7\n",
       "2AJz2VJl8fHw5tS5VIccI+ZQDJOemEyl6pW4/2XH94p03R860OELV7zvErYfI3FH4Xq2rhrccntc\n",
       "gEzgPDnDsGWyKyr1gYj8DtwGrBaRXlzce8v9PoMcv/2llLpohV8RaQt0B+4DnsDWu3vUXn4bsElE\n",
       "Wimlki7c99U3Xsn3pEJqhwBwNPIoANFRtsVTQ0KC892nMOjSzcLN3Y3g1iEEtw5hz7LdRG6NJP1k\n",
       "Gl4VyhZbU6fN8/bnDMNd5xvMnXV6EOQTYCm4HTsVB8C2hL38G7UJvzIVaBnQkCCfKmyOs2yyw6lY\n",
       "xo9ypX14q/2L2WUdqrbmXOY5ZuyeY1k/+sAxJjz8KaW9SjPqm6coX7lYgxl50N2OdaHDF+Ca913l\n",
       "JlWp3KRq9vv9P4Tlq+eqwa2miLRXSq0DQoF/gXJAa2ARcG9WRRGpo5TaCewUkTbYhjS3FaCvgHXA\n",
       "5/b9D9p/bwsCogFvpdRCEVkDHMx1nA3ABhG5BagOXBTcLkev3j3x96/ClMlT8fHxYfq0GQSHBF+2\n",
       "d3c1dQEOrTvEnmW7qdakGimxKUTtiKJCVV9LN5hOm4PLV+fBBnezKXYH7m5udKvRkTMZZ4lIOWpJ\n",
       "d//xwxw6EUmrgMb0qd2VW0I6k5GZyfaEfZZ0AVb/tZZDe8IBiI2K5dfZf9CiYzNqhFQvtuaG2M0c\n",
       "PWX74qrmU5U7a9/C9oTdLD9qbXgWIOlYMuMf/pTUE6nc+VA3DoUd4lDYIdrc2tqSrs52rMPHoM8X\n",
       "5r5zzQdKFLAXeNw+hFgBmAS8BXwiIv9h68Vl9e5G2h/02IrtN7WFuXSyXi/qeyulEoBBwPf2fddg\n",
       "C4zlgN/sZauAp+27jBWRbfYHVVYrpQoKoBfh6enJrDmz8PHx5rlRzxMYGMDsOTMtP72lSxfAq4IX\n",
       "x3ZF89f4JWyat5Hg1sHcN9b6sIsum4+fSUFwI7T+nTzU4F5iT8czZsPnHD+TYtnmt9d+TvSpWJ5q\n",
       "8RA+HmUZs/5LDqdYT13y3aQf+OLdKYgIB3Yd4oNnP2L7f9aGOo+lxrIpbiub4rayN/kAAHFp8Rw5\n",
       "aS3IA8RHxnMq6RQqU7Hg41/5+vkZfP3CDMu6OtuxDh+DPl+Y+w7EmcalXR0RUWnnHfN7xpXgrQ36\n",
       "8rm90Tb/4VkrOGM+tw9uGqpFV1c+tw7V6mvRfajeYC26YPK5ZaHrvgM9997vd32DUuqSkdUVe24G\n",
       "g8FguMYxwc1gMBgMLocJbgaDwWBwOUxwMxgMBoPLYYKbwWAwGFwOE9wMBoPB4HK46iRup+XlNW84\n",
       "XDMyxfocrUsxs/cELboAM/dN16I7r89ELbofbRmvRRegeaU2WnRfbx+oRbdq2RpadB9c9HTBlYqJ\n",
       "rrY8askXWnSXPfCNFt3lUUu06AIknryy05xMz81gMBgMLocJbgaDwWBwOUxwMxgMBoPLYYKbwWAw\n",
       "GFwOE9wMBoPB4HKY4GYwGAwGl8NMBSgiItIMCFJKLSywsgZebfMSvp6+2e+jU48xfsvHljS7Vu/A\n",
       "o00fuqj88WUvk5CebEl7zeq1jHxiJPv3HaBhowZMmvw5zVs0t6SZxZj+Y4k5FEtmZiYBtfy5++k7\n",
       "aHxjI8u6Om0+d+Ycn4d+TmJkEu36tqXPc30sa+qy963nRvP7/IUkJSRxU68uTJ37pWXNLHTY7Azt\n",
       "+OnWA+leqwO+ZcqzJmoLz68YB0CTKtfzXNtHqFG+KuHHj/L+uq/YlxxRImzOTVR4NBNf/IKIvYc5\n",
       "d+489VtczxNjRlC1ZtGnlej2hem5FZ0WwK1F2UFEHPZPhAIOnTjEzD2zmblnNr+H/2FZc2fiPj7e\n",
       "MpWPt0xlYtg0zmdmcPxMCknpxy3ppqenE9ovlNTU04wbP5bY2DhC+w8gMzPTss0A17Wsw/2v9OW2\n",
       "EbcQdSCa2W//YFlTt83Lp64gJf6k7Y0D8ozptFdEuP2+27K3HYUum52hHSvgr4g19m1burHSbh6M\n",
       "6TwKr1Jl+GTjt1QsU4F3Oz+NUHyf6/JxUqwtv/KAUQ/Qo283wv7dxifPf14sLd2+cLrgJiIPichW\n",
       "EQkTkRkiUktEltnL/haRGvZ600VkkoisFZGDItLVXn+XiEzLpXdKRMaLyA77/pXt5StEpJV9u7KI\n",
       "hIuIB/A20F9EtohIXxHxFpFvRGS9iGwWkTvs+wwSkV9FZCnwl4gEishK+37bReSGYp0/kJSezO6k\n",
       "PWxN2Ma+4/utORSIT0tk7bFNrD22ifOZ5ynl5s7yyDVkXpyjtUgsXrSEuLh4ho0YytDhQxg0eCAR\n",
       "4RGsXLHSss0A/V64lyZdGlO/3fV4eJTC17+CZU2dNsfsj2Ht92vpNqybZa0sdNr7+thXeOTxgQ6w\n",
       "Mi+6bHaGdvzxxhn8sOfPPGXtqzXHr0x55u9bwoL9f/PbweVU9alCy4CGJcLm3DRoVZ/3f3iHPg/d\n",
       "wog3h+BTwZvIA8VLYKvbF041LCkijYBXgA5KqSQR8QO+BaYppWaKyGDgU+Bu+y6+SqkO9oDzK9AB\n",
       "2AX8JyJN7dmwywL/KaVGichrwBvAk1wiA7dS6py9Tiul1FN2m8YAS5VSD4uIL7BeRP6279ICaKKU\n",
       "Oi4izwCLlFJjxPZvsHdxfKCA1gGtaB3QitRzqfwRsZANsY5LtNij5o1kKsXfR6x/OUaERwAQVC0o\n",
       "z2tExGHL2gCnU07z7A0vAlDaqzR9n7/HsqYumzMzM/l59ALa9WtHtQZBlrRyo9vHOpIZ67YZSno7\n",
       "ztsLCfKpAkD8aVuvKOG0bQi1qo8/xBYv27cuH5fyyAkZ+7Yd4NSJVDrd2sGCoj5fOFVwA7oBc5VS\n",
       "SQBKqWQRaQ/cZf98FjDWvq2A3+zbO4AYpdROABHZCQQD24BM4Idc+88vwAYh7xXpCdwuIs/a33sC\n",
       "Ne3H/0splTUmsgH4xt77W6CU2nop8bXfrM7ert6iBjVa1Mzz+bqY9cSdjqOUWyluC76Vvtfdy/7j\n",
       "B0g+Y+03BYCAspVpXLk+m+N2WP6N4lI4+ouyjHcZ/jf1CY4diuGnjxYw5ZlveHfJW7i5OW5AwlE2\n",
       "b/5tC8djjtP81mbE7I8FIP1kGqnHU/H2Ldb/OZdERzDSjaNtdrZ2fBGOGwHOxtE2Rx44ytuPjCGg\n",
       "hj+PvqUnUzxwkS9O7I4jZXdcoXZ1tuCmuPSlz685nLW/ZgJncpVnculzF3J6a+fJGbYtU4Bd9yil\n",
       "8owPikg7IHsxNaXUKhG5EegDTBeR8UqpmRcKdXi402UPtDRyWfZ2DZ/qdK52I1W8KjskuPWo2RmA\n",
       "JYf/sawFEFI7BICjkbZhi+ioaFt5SLBD9N3c3WjQoT4NOtRn0+ItHNh0kNMpp/Hx9Sm2pi6bU+JO\n",
       "cDr5NJ+HTsou27pwG6VKe3DXK3cWW1e3j3Wg22Zna8fRp+IB8PeuBEAVr4r28thia+q0+ci+SF4K\n",
       "fR3PMp689/3b+FXxLXinQlKQLyo08KdCA//s+kd/zr8352zBbRnwsz0wJIlIRWANcD+2Xtf/AUUd\n",
       "h3AD+mLrvYUCq+zlEUBrYCNwX676KUC5XO8XA09hG8pERFoopbZwQcAVkZpAlFJqqoh4YhuyvCi4\n",
       "XY6qZatya3BvdifvwV3caB3QinOZ5ziWGlMUmUtSStzpWr0DCWlJbInfYVkPoFfvnvj7V2HK5Kn4\n",
       "+PgwfdoMgkOC6dy1s2Xtnf/uYuOizdRpUZukY8kcCgunUrWKlgKbTpsb39yYgDoBAMQejGP5lOXU\n",
       "7ViXtvdZWxRZp4+XLVrBvt22/9mijx7jh29/pF2nNgTXqVVibS7p7bhjtRbUrmBbWDqgbGX61LmJ\n",
       "XYkHSE5P4e66PUg7d4bbr7uJY6fi2Ry7q0TYnJv46ARefOA1Th4/xUPP3s6ezXvZs3kvXe64scha\n",
       "un3hVA+UKKV2Ae8C/4hIGPAhtqAyWES2YgtuI3Pvks92blKBtiKyHeiK7YER7NqPishmoFKu/ZcD\n",
       "DbMeKAHeATxEZJuI7ADeynW83MfsCoTZ9foBnxTl3AFOnTuFiNC7Vk9uDb6VpPQkpu2awclzJ4sq\n",
       "dRFtA1tQrrQPfx/517JWFp6ensyaMwsfH2+eG/U8gYEBzJ4z0yFP3nn7ehO+/TDfvzuXZbNWUL99\n",
       "PZ74fESJtdk/xJ9G3RrRqFsjQloGA1CxekWC6ln7/U2nj6dO/IZxb45HRNizYy+vPPU6m9dvsayr\n",
       "0+aS3o4faNCHES3uRym4zq8mL7QbyvV+wby68mPSzqczsvVDJKYd55VV1rIU6PLxscMxnEhMQWUq\n",
       "pn8wi7FPTWDcyOJNRdLtC3HGMXpHIiInlVLlCq6pHxFRT698tuCKRcSkvMnhwesHadHVmfLmmRaj\n",
       "tOgeOx2pRdekvMmh2/cPa9F1xpQ376yc43DNtQ/+gFLqkhHbqXpumri2o7vBYDC4INd8cFNKlb/a\n",
       "NhgMBoPBsVzzwc1gMBgMrocJbgaDwWBwOUxwMxhcgYwMOHMGrvEHxAyGLJxtnpvBYACIj8d95ne4\n",
       "rVqN2+YtiH2SripVCtW4IZktW5B55x1k9u4B7u5X2ViD4cpzzU8FKEmIiHp8ueMfd24bVPwFWK8W\n",
       "/eqEXm0TSgxeT7fL3vY/fZ7318QQuvcEnpkF37vh5T0Y06oKUxv5XZSFIG3CeofbCjD34HdadHW2\n",
       "CWez2dnsBT02D6w31EwFMBicnb77T7Bz9n4G7z5+UWDLBM66XXyPh6ScY8ryaJb8EkG1U+eukKUG\n",
       "w9XHDEsaDE7AM5sT+HB13mXW1gV48XVDP9ZULcseP08y3YTyZzJoGZ/GrRGneHh3MpXSMwDoEZnK\n",
       "2nkH6X5XCPv9PK/GKRgMVxTTczMYSjhDdiTlCWyHy3nQ885adOhXh6mNK7KrUhky7b22FE93VlT3\n",
       "4fkbAqkxqB5jW1Ymw96hq3HqPH8viCAg1fTgDK6PCW4GQwlG9h/gk1XHst+vqFaWpg9cx181C14x\n",
       "Ls3DjRc6BdLrjmBSS9kiXM1T55i8PNo8VWlweUxwMxhKKkrhMexxyp63BaJtlTzp06cWKZ5Fe/px\n",
       "aU0f7rslJy/gneEn6bdfz3qjBkNJwQQ3g6GEIuv/w22VbXX7c27wUI/qpJYu3mP9i4LLMalJxez3\n",
       "L2yON703g0tjgpsTUcWrMk81e4z3O73NuBvG8HjT4VQqU7HgHQvBrNHf82THUQyqP4wJIyY6RFOn\n",
       "LsCa1Wtp06Itvt4V6di2E2FbwlxKt9SXX2Vvz6zny9YqXgB8cu+LxIxeQcbHW/l1WI5PO4Y0Z+sL\n",
       "P5H20UY2PvcDzavXz6P3ant/0txtw5Mt49ORDRsdbnNhcMY2octmZ7MXnMdmE9yciAqlKwDwR/gi\n",
       "1sVsoJ5fXULr9XeQutD+trbZ245Dj256ejqh/UJJTT3NuPFjiY2NI7T/ADIzM11DVyncFv2V/faL\n",
       "XL0upRTfb/4zexvAs1RpfnpkAt6eXvxv/gcElKvEjw+Pz5O/K7lMKX6oWyH7vfvCxY61udA4V5uw\n",
       "4Xibnc1ecC6br+ngJiKvicgeEVklIt+JyDMiMkRENohImIj8KCJe9rrTRWSSiKwVkYMi0lVEZojI\n",
       "LhGZlkuzp4isEZFNIjJXRLzt5e+LyE4R2Soi44pj76GUcD7dOolV0Wv46cAC0s6nUdU7wCG+GPDq\n",
       "/fQa1MMhWldCd/GiJcTFxTNsxFCGDh/CoMEDiQiPYOWKoiZiL6G6RyKRhAQAjpd2Y6O/V/ZH/5v/\n",
       "AROW503ifkvDG/D3qcikVXOYvHoeX6+dT0jFanS9Lm+m779r5GQql82XTzyqyxfO1iZAj83OZi84\n",
       "l83XbHATkTbAPUBT4BagNbbcbvOVUm2VUs2B3cAj9l0U4KuU6gA8DfwKjAUaAU1EpJmIVAZeAbor\n",
       "pVoBm4BRIlIRuEsp1Ugp1Qxb9u4ik6ly/juqWa46XqW8OHD8UHGkLomu1Wp06EaERwAQVC0oz2tE\n",
       "xGGX0HXbvSd7O6xKmYtWF7kwo3JIpeoARJ2Iy/MaUqlannpbqpTJ0diz16E2FwVnahNZONpmZ7MX\n",
       "nMvma3kSdydggVLqLHBWRH7D1hduIiKjgQqAD7Ao1z6/2V93ADFKqZ0AIrITCAZqAA2BNfYvn9LA\n",
       "GuAEkC4iXwO/2/+KTUBZf4Y3foTE9CTm7Z9vRcplcKbAXCjd9PTszePFeIhE8hnWOZ7rSUtJSyuS\n",
       "prMt1Wfs1U9JtvlaDm6KSw/sTgPuVEptF5GBQNdcn521v2YCZ3KVZ2LzZQbwl1LqogXaRKQt0B24\n",
       "D3jCvn0RG6avzd6u1rw61ZrXyPN5YNkAnmr+KGczzvFp2BecPHfqcufosoTUDgHgaORRAKLtCweH\n",
       "hAS7hm7p0tmb3ucL/j0jPNGmW8M3EIBqvv4AHLKXZ2udy6WV6xgOsfkqY+zVz9W2eff6vezZcPkR\n",
       "hyyu5eC2GpgsIu8BHkAf4CugHBAjIh7AACCykHoKWAd8LiJ1lFIH7b+3BQHRgLdSaqGIrAEO5ifS\n",
       "dlCHfA/g6+nLU80fw7tUWZZFLqR2hVpALTbFWX9aKWzFNqL2RQGQdCyRf+aton7begTU8i+Rur16\n",
       "98TfvwpTJk/Fx8eH6dNmEBwSTOeunV1CV9Wpnb3dNCHd9ti+fSjy1oY30jioLgA1/arycPu72XB4\n",
       "B3Gnknj0hv6cOnuaR9rfTXhSFCv2/5dHt2liTo8wM9cxHGFzYXG2NqHLZmeztyTY3KBdPRq0q5f9\n",
       "fsFnv12kk8U1+5ubUmojtt/NtgF/AtuxDR++BqwH/sX2m1ue3fLZztJMAAYB34vIVmxDkvWwBczf\n",
       "7GWrsP1mV2SqeFXCx8MbEeGO2rcysMEABjYYUBypi1j49RLmjf8ZBCL3RjHt9Zns33KgxOp6enoy\n",
       "a84sfHy8eW7U8wQGBjB7zsyLfotyVl1V9zpUOdsqJAFpGVx//Gz2Z892H8R7fUaiUDQNup6v7n+D\n",
       "FtXr0/ebZzh15jQf3/MCMScT6fvNMxfpdo5KzTlGyxYOtbmwOFub0GWzs9nrbDZf0ylvRMRbKZUq\n",
       "ImWBf4ChSinHTNoonj0m5Y0dk/IGPO7uh/tvfwDwUfNKPHtjVUt6XucyiZq2B78ztqHJs3/+QmbP\n",
       "my3beSEmHUsOJuVNDiblzZXlKxHZgu2pxh+vZmAzGC4kY/iQ7O1hO5OpmXL2MrULZlRYQnZgO1Ch\n",
       "NJk3d7OkZzCUZK7p4KaU+j+lVAulVAOl1AdX2x6DITeZPW8ms4FtlZFy5zL5emkUboVIUHopmsWn\n",
       "8fqG+Oz3nzSrBG7X9O1vcHFM6zYYSipubpz7alJ2ypqbj6byzdIo3IsY4OonpfPnb4cpbd9vXYBX\n",
       "nnUmDQZFJyejAAAgAElEQVRXxAQ3g6EEozq0471WVbLfD9xznH/mh1M3+cxl9sraWfHwziTWzTtE\n",
       "UOp5AFI83Bh0c/Xs/G8Gg6tyLU8FMBicgtfb++Ofdp5hO5MB6HTsNNu/O8Cc6yvwdUM//gvwIr1U\n",
       "zv+pVU+d45bDJ3l8exIt43Me/T/l4Uaf22uxt6LJxG1wfUxwMxhKOEqE4TcFcaScB29siMMjEzwz\n",
       "FQP3HGfgnuOcFzhYoTRn3IUqaRlUPX3+Io19vqUJ7VmDTQFelziCweB6XNNTAUoaIqLSzqcWXLGI\n",
       "3DjjQYdrAqwaOLPgStcIC4/kP5nUKptid2RvB+6L4Y5xC6m5I6pQ+54rXYr197Zm6bAunCvjocvE\n",
       "PLza5iUtujp9PHfPCi262w4Wdg2IojH6Nj33tE5uqXm7wzW9SnnnOxXA9NwMBici5vpAvpoymGq7\n",
       "omnzy2ZqhUVSKTIRt1z/o57x8uDY9YHs6lKPLbc2I62C6a0Zrj1McDMYnJCohkFENbStyO6Zeoby\n",
       "cSm4n8/krJcHyVV9Ue7mWTHDtY0JbgaDk3PG25P4kCoFVzQYriHMv3cGg8FgcDlMcDMYDAaDy2GC\n",
       "m8FgMBhcDhPcABEJFpHtDtAZJCIT7dt3iUiDXJ+tEJFWVo+xZvVa2rRoi693RTq27UTYFses9fxL\n",
       "3y9YP3he9t+sO8c5RFeXvTq1dehOfWs6g9sM5946DzBmyFgHWJlDUmQSsx6fyfjeHzGu+1i+Gzmb\n",
       "5KjkEqsLzufjdzo8z9c9xjOtx8e81+llmlV2XKaNcqW9GXPzKNYOncOGYXOZfvd7ljV1+UKnjx3d\n",
       "Jkxwcyy5Jw3eBTTM57NikZ6eTmi/UFJTTzNu/FhiY+MI7T+AzMyCMzUXhEKxOWYXr6yYwCsrJvDp\n",
       "f9bnsOm0V5e2Ll0RuOH2jjlvHMjJ+JMAdB7ahWZ9mhH+Xzh/vPd7idV1Rh/vTT7IjF1z+fngn1T3\n",
       "CeLhRg84TPud7iO57fou/LhzMe+tmsLh49GWNXX5QpeujjZhglsO7iLylYjsEJHFIlJGROqIyEIR\n",
       "2SgiK0WkHoCI3C4i60Rks4j8JSJ50tuKSAfgdmCcvU5WyuO+IrJeRPaKyA1FNXDxoiXExcUzbMRQ\n",
       "hg4fwqDBA4kIj2DlipWWT14Qjp2MY3XkZv4OX8OG6G2WNXXaq0tbl+4jrw/i9kdutaSRH9WbVmfA\n",
       "5w/S+t7W9Hy6F17lvEgITyixus7o41l7fmJL3HZ2Ju7lfOY5ks+ccIhu9fIBdK/dnj/2/cMn677l\n",
       "lz1LeWP5RMu6unyhS1dHmzBTAXKoC9yvlBomIj8A9wKDgRFKqQMi0g6YBHQHViml2gOIyBDgeeBZ\n",
       "QACUUmtF5FfgN6XUfHs9AHelVDsRuQV4A+hRFAMjwiMACKoWlOc1IuJwsU86C4Xi1uu6cFvdriSn\n",
       "p/D5xtn8tn+ZJU2d9urS1mkzmlYDci/lnr0dvTuatJNpNLipwWX2uLq6zujjsqW8+LK7bRjuTMZZ\n",
       "Zu7+0SG6dSrWBKBJQF02Dv+RDJXJrK2/MmHtDOviulaf0qCro02YnlsO4UqprO7KJiAY6AjMsyc0\n",
       "/RIItH9eQ0SWiMg2bEEtvwH4C/vt8+2vm+36lnDk0mkL9v7NS8s/4rV/PuFsxjle7jScqj6OnTul\n",
       "c6k3XdrOtDxdQkQC856fi2+QLz2f6VXidbNwBh+nnU9nzH+fMmPXXNzEjZHNhyAX3d5Fp7S7bUk0\n",
       "r1KejFr0AVuO7ebhlvfSrnozy9rOjCPahOm55ZA7h0gGEAAcV0q1uETdicCHSqnfRaQL8GY+mhde\n",
       "oaxjZJCP70e/9W72ducuN9K5a+fs9yG1QwA4GnkUgOgo29h8SEhwPocvPNO3zc/ebli5Dg806kON\n",
       "8lU5dir+MntdHp326tLWabNO4sPjmf3ELDzKeDBg4gB8KvqUWF1n9LFCsTNxLzsT99K+akvq+V2H\n",
       "t0dZTp2zthZs5IkYADZF72JZ+DoqlfWlXfWm1CgfyHq2OsJ0p6CwbWLlipWs/GdVoTRNcMufFOCQ\n",
       "iNynlPpRbOOKTey9u/JA1q++g/LZ/6S9XpF49Y1X8v2sV++e+PtXYcrkqfj4+DB92gyCQ4LzBMDi\n",
       "cJ1fLR5rFcqao5txd3Pn1jpdSD9/hoPJRyzp6rJXp7Yu3Y3LNnNkn20R3YToBP7+YRmN2jWkanBg\n",
       "AXsWTErsCWY/Pou0lDTa3t+OozuiOLojikY9GpVIXWfzcdPKDWgf2Ip9xw9RqYwfdX1rE5+WZDmw\n",
       "AexJOMT+xMO0r9GM+xr24u4GN5ORmcGWY7ss6eryhS7dwraJzl075yl7950x+WqaYckcLuxlKWAA\n",
       "8IiIhAE7gDvsn72JbbhyIxCfa1+Va3sO8JyIbMr1QMnljlcgnp6ezJozCx8fb54b9TyBgQHMnjMz\n",
       "6/e8YpOcfgIRYViL/jze6v+IPhXHc0vHkph23JKuLnt1auvS/XXq78weNwcROLznCF++MoU9m/dZ\n",
       "0swiOSqZ1OOpKKVY/sUyFrzxM7+8uaDE6jqbj0+dTaWObzCDGvand62b2JG4lw83TbKsm8Vzi8cS\n",
       "eSKGlzoPo5ynNy/9PYGDydayCejyhS5dHW3CpLwpQZiUN87LlUp54wyYlDc5mJQ3OVzplDem52Yw\n",
       "GAwGl8MEN4PBYDC4HCa4GQwGg8HlMMHNYDAYDC6HCW4Gg8FgcDlMcDMYDAaDy2GmApQgdE0FeHXt\n",
       "mw7XBGhTtYkWXWfkzuB7r7YJRUZXuziY7Ji0OBfy/a2faNF1Rvxf7apFN270Ci26AL9E/ORwzfuv\n",
       "e8hMBTAYDAbDtYMJbgaDwWBwOUxwMxgMBoPLYYKbwWAwGFwOE9wMBoPB4HKY4GYwGAwGl8MEtwsQ\n",
       "kWAR2X617ciPNavX0qZFW3y9K9KxbSfCtoQ5RDc5Mpm5T83h8z6fMbHXJ/w4ai7Ho62lvAGY/vZM\n",
       "hrd7ggfqDmTs0PEOsNQ5dUHftXO2NgHwwQ0vMbv3p3x/y2d81Pk1WlSxliMuC2fzsS5dgAGtbmfr\n",
       "s/OJeWsl8wd/QmC5yg7R1WWzo+89E9yciPT0dEL7hZKaeppx48cSGxtHaP8BZGZmWtY+lXAKgE6P\n",
       "dKLRrY05vPEwSz5YbFkXETre3t6+aT2Pm7Pq6rp2TtkmgD1JB5m643vm7f+dmuWCGN50gGVNZ/Ox\n",
       "zmvXoloDPrvnFY6eiOX1RRO5IaQlH9/1omVdnTY7+t4zwe3SuIvIVyKyQ0QWi0gZEWkuIutEZKuI\n",
       "zBcRXwARWSEi40XkPxHZLSJtRORnEdknIu9kCYrIABFZLyJbRORLESmy7xcvWkJcXDzDRgxl6PAh\n",
       "DBo8kIjwCFauWGn5hIOaBNHv0/tpfncLuo3sTplyZUiMSLCsO+i1Adw6uLdlHWfX1XXtnLFNAEzb\n",
       "NZeNcdvZnrCHc5nnSUq33iN0Nh/rvHYdQ1oAMG3Dz3y1dh7bju2jV/1O+JYpV2JtdvS9Z4LbpakL\n",
       "fKaUagwcB+4FZgDPKaWaAduBN+x1FXBGKdUG+AL4BRgBNAYGiYifiDQA+gEdlVItgEzg/4pqVER4\n",
       "BABB1YLyvEZEHC7OOebBvZR79nbMnhjST6ZTvVkNy7oAulbBcSZdXdfOWdtE2VJeTO/5Ee/fYEts\n",
       "Om3nXMuazuZjndcu4VQSAB2Dm1O3Si3qVLJdt5p+VS3p6rQZHHvvmeB2acKVUtvs25uAOoCvUmqV\n",
       "vWwG0DlX/V/trzuAHUqpWKXUWeAQUBPoDrQCNorIFqAbEGLVSB1fwomHE1nw4nwqVK1At/91d7i+\n",
       "wYYzBWYdbSL9fDpvrpvA1B1zcBPh2VbDEBw4vIxz+djRuvO3/826w9t4uO09/Pe/HyjlXgpBSD9/\n",
       "1mHHAH2+cASlrrYBJZQzubYzAN8LPr/wLsyqn3nBvpnk+HiGUurlgg48+q13s7c7d7mRzl1zYmhI\n",
       "bVs8PBp5FIDoqGhbeUhwQbKFIjE8gbn/+wEPTw/6fdIf74reDtE16Lt2ztomMlFsT9jD9oQ9dApq\n",
       "RYOKdfHxKMvJc8VfW9XZfKzz2p3LOE/vr4bRMKAOGSqTD/qMol2tpkQkRVnS1d3eCmLnut3sWr+7\n",
       "UHVNcCscJ4AkEblBKfUv8CCwopD7KmAp8IuITFBKxYtIRcBHKXXkwsqvvvFKvkK9evfE378KUyZP\n",
       "xcfHh+nTZhAcEpwnABaXlNgU5o78gfSUdFoNbU30jmiid0RT/+YGlnQ3Lw8jcp/tRkg4lsiyuf/Q\n",
       "sG19AoMDrildXdfOGdtE8yqN6BTUmj1JB6ns5cf1fnWIO51oKbCB8/lY57UTEd6/7Wm2Ru+lVfWG\n",
       "dK3Thon/zuZsxrkSa3Nh7r1G7RvQqH1O+/tp4oJ89cyw5KW5sK+tgEHAOBHZCjQF3s5nv4v66Uqp\n",
       "3cCrwBL7/kuAwKIa5enpyaw5s/Dx8ea5Uc8TGBjA7DkzHfJk0Yno45w+fhqlFKsmr+SPt3/nz3f+\n",
       "sKz7+9SFzPlwHggc2RPJlFe/Yd+W/decrq5r54xt4uTZU9T1DWZok/u5LaQ72xN2M2bDZ5Z1nc3H\n",
       "Oq+dUoqOIS2YcNcL3N3kZiavnctbiydZ1tVps6PvPZPypgRhUt44LyblTQ4m5Y1+TMobGybljcFg\n",
       "MBiuKUxwMxgMBoPLYYKbwWAwGFwOE9wMBoPB4HKY4GYwGAwGl8MEN4PBYDC4HCa4GQwGg8HlMPPc\n",
       "ShC65rk5I93nPKJFd82/W7Xopn22UYuuM6Jr/pxORnd482qbYCgGXqW8zTw3g8FgMFw7mOBmMBgM\n",
       "BpfDBDeDwWAwuBwmuBkMBoPB5TDBzWAwGAwuhwluBoPBYHA5tAU3EQkWke2XKG8lIpfMXSEiEfZE\n",
       "ntoRkekiclGeEhEZKCJVr4QNxWHN6rW0adEWX++KdGzbibAtYdekbvVygUzs/ip/3PsVS/p9zYRu\n",
       "LxHk4+8Q7Qpe5Zgx8D2SP1pHyoT/WPH0DIfoOpuPdWkv+3gpX9zxOR91HsfPL8x3gJV6dcFcO2fU\n",
       "veI9N6XUJqXUyPw+vpKm5HO8QUDQFbSj0KSnpxPaL5TU1NOMGz+W2Ng4QvsPIDMz85rSBajs5QfA\n",
       "1G3z+OPgP7QObMyL7YZZ1gX45sHRhLa5jSmrf2Tk3PfYH3/YsqYz+libtpCTzdt6jkvtuubaOafu\n",
       "FQluIlJbRDbbe21dReQ3e3klEVkiIjtEZAr2Jiki3iLyh4iEich2Eel3Cc2hIrLBXudHEfGyl08X\n",
       "kU9EZLWIHMzqnYmNz0Rkj4j8BfhzwS0gIvcBrYHZdnvL2G1eISIbRWSRiATa69YRkYX28pUiUq+A\n",
       "41e119tiP6cbiurHxYuWEBcXz7ARQxk6fAiDBg8kIjyClStWFlXKqXUBtsfv48mlo/l5/198sulb\n",
       "Tp5NJbhCNcu6IZWrc1ez7nz33x+8vOBjZqxbwNBZr1vWdUYf69LuNrI7rfq1smzfldI11845dbUH\n",
       "N/uX/o/AQKXUpgs+fgNYqZRqDPwM1LSX9wailFLNlVJNgEWXkP5JKdVWKdUc2A3kXtIiUCnVCegD\n",
       "vG8vuxu4HmgAPAR05IKem1LqR2AjEKqUaglkABOBe5VSrYFpwLv26l8BT9rLnwNy53C/1PFDgUVK\n",
       "qRZAU6DIfe6I8AgAgqoF5XmNiLDWs3A2XYAMlZG9Xb9ibcqV9iYsbo9l3YaBdQBoG9yE1E82cerj\n",
       "jbx319OWdZ3Rxzq1dS2MpEPXXDvn1C2V3wciMvEy+yml1FOF0PcHFgB3K6Uu9c1zI7agg1LqTxHJ\n",
       "yk+/DfhQRN4HfldK/XuJfZuIyGigAuBDTgBU9mOilNotIgH28s7Ad8q23tgxEVl2GbuzenT1gEbA\n",
       "3yIC4A5Ei4g3tuA4z14OULqA428AvhERD2CBUuqS60CNfuvd7O3OXW6kc9fO+Rqpa+k0Z9KtWT6I\n",
       "D7o8y7FT8UzYON2ynqeH7TKWLe1Fv6mjeKJrKM/3eIS/dq9l2d51lvWzcCYfXwltZ8Jcu6unu3LF\n",
       "Slb+s6pQGvkGN2ATOT2brG9wZd8u7BkdBw5jC2L5/Vt90ei4Umq/iLQAbgNGi8hSpdQ7F1SbDtyh\n",
       "lNouIgOBrrk+O3sJfUXhR+Jzn/dOpVTHPAaLlAeS7b2wS3HR8ZVSq0TkRmy9uekiMl4pNfPCHV99\n",
       "45V8jQqpHQLA0cijAERHRdvKQ4IvfzYF4Gy6WQSXr8anN79K+vkzPLl0NMnpJyxrHoq32brqwCZ+\n",
       "2bqUgHKV6HZ9O2pXrs6yvcXXdUYf675+zoK5diVHt3PXznn+4X/3nTH5auYb3JRS03O/FxFvpVRR\n",
       "V/U9C9wDLBaRU0qp7y/4fCW24bp3ReQWwM9+rKrYgsdsETlB3iHHLHyAGHtPaAAQWYAtK4HhIjID\n",
       "CABuAmZfot5JoLx9ey9QRUTaK6XW2Y9VVym1S0TCReQ+pdSPYuu+NVFKbcvv4CJSE9tQ61QR8QRa\n",
       "ABcFt8vRq3dP/P2rMGXyVHx8fJg+bQbBIcGX7d25oi6Af9mKTLz5Ncp7evPDnj9pXLkujSvXZenh\n",
       "tZZ0w47uZnv0Pm6u354hne5jcMe7OZ+ZweqDWyzpOqOPdWkfWnOQhPAEAE7GprD9921Ub14Dv+p+\n",
       "JVLXXDvn1C3wNzcR6Sgiu7D3vESkuYhMKmC3LJRS6jS23srTItKHvE8pvgV0FpEd2IYnswZYmwDr\n",
       "RWQL8BpwYa8Ne/l64F9sv7nlOe6F20qpn4H9wC5gBrAmH5unA1+KyGZs/rkP+EBEwoAtQAd7vf8D\n",
       "HrGX7wDuuNzxsQXTMLtuP+CS0yEuh6enJ7PmzMLHx5vnRj1PYGAAs+fMJNfQaLFwNl2Aaj4B+JYp\n",
       "h+DGiOb382anJ3ij4xOWdQEe+Po5DsZH8mm/l/H1KsdDM15kd8xBS5rO6GNd2hvn/MeqySsREeIP\n",
       "xvPXuCVE74iybK8uXXPtnFO3wJQ3IrIB2xf8L1nDcCKyUynVqNhHNVwSMSlvsjEpb5wXk/LGcKWw\n",
       "nPJGKXXkgqLzlq0yGAwGg0ETl3ugJIsjItIJQERKA09x8TCgwWAwGAwlhsL03B4FHgeqAVHYHoR4\n",
       "XKdRBoPBYDBYocCem1IqHtsTjQaDwWAwOAWFeVqyjoj8JiIJIhIvIr+ISO0rYZzBYDAYDMWhMMOS\n",
       "3wFzgarYFhSeB1w4X81gMBgMhhJDYaYCbFNKNb2gbKtSqplWy65BRER1//Ehh+veXlfPpRreaIQW\n",
       "XZ1siMtveuO1R1v/jgVXKgaTd36pRVdne2s5qa8W3eFduuvR1eQLXdcO4Lf9jp+Gs/S+b/OdCnC5\n",
       "tSUrYls6aqGIvEROb60/sNDhVhoMBoPB4CAu90DJZvKutJGVLCtrbckXdRllMBgMBoMVLre2ZPAV\n",
       "tMNgMBgMBodRmEnciEhjoCFQJqtMKfWtLqMMBoPBYLBCgcFNRN4EumDLa/YHcAu2xYpNcDMYDAZD\n",
       "iaQwUwHuA24GjimlBgPNAF+tVhkMBoPBYIHCDEumKaUyROS8iFQA4oAamu0y5MOs3h/iX7ZS9vtD\n",
       "JyIZsfR1y7rxh+P54e15HDtwjPPnMghuUou+r91H5eqVCt75MqxZvZaRT4xk/74DNGzUgEmTP6d5\n",
       "i+aW7dWl/cmrn7P81xUcTzxB++7teP/bS2VbKjm6urV1+FhXW9NlL8CQVn15oMmtVPTyJS41iRlh\n",
       "P/Pdtt8t6zqbL3Ta6+jvtsL03P4TET9gCrARW04zM1noKqGAbfF7eXf9F7y7/gu+2v6DQ3RPxKcA\n",
       "cMtjvWl3Z1v2rd/PD2/OtaSZnp5OaL9QUlNPM278WGJj4wjtP4DMzEzL9urSFoHud92Uve0odOnq\n",
       "1NblYx1tTae9tf1q8L8OD3Eu4zzvr5pCKTd3Xu48HH9v61/ozuYLXfaC47/bCgxuSqnHlFLJSqkv\n",
       "gZ7AQPvwpEsjIsEisltEvhKRHSKyWETK2JcjWygiG0VkpYjUExF3ETlk389XRDJE5Ab7+5X2fbqI\n",
       "yBb732YR8SmWXUDM6QTWx2zln6gNbI7b6ZDzDWkWzBNfP8YN/Ttxzwt34VXei5hDsZY0Fy9aQlxc\n",
       "PMNGDGXo8CEMGjyQiPAIVq5YadleXdpPvfM4fYfda9m+K6WrU1uXj3W0NZ32pp1LJyMzg9jURNYf\n",
       "3Uri6eOcOX+WMxlnLdvsbL7QZS84/rvtcpO4W5F3nlvuz1oqpTZbOrJzcB3QXyk1TER+AO4FBgMj\n",
       "lFIHRKQdMEkp1V1E9opIQ6A2sAlbhvH/gOpKqYMiMgF4TCm1VkTKAmeKY5ACetTqRM9anThx5iRf\n",
       "75jHosOrLJ+ou4d79vaRnZGkpaTRrEfTy+xRMBHhEQAEVQvK8xoRcTi/XUqEdkGr9pQ0XV3aunys\n",
       "o62BPnuPnYrnreWf82a3J/l9wJdkKsUrf0/gRPpJS7rgfL7QZS84/rvtcr+5fUQ+wc3OTcU+qvMQ\n",
       "rpTaZt/eBAQDHYF5udKfl7a/rgI6AyHAe8BQ4B/gP/vnq4EJIjIbmK+UirrUAQ/9EJa97dcoEL/G\n",
       "gXk+/zN8BZEnj+Hh5sGQxn35X8tBbInfTezpBEsnmkVseCxTR35DxWoVuffFux2imYWzfbkb8uJo\n",
       "H+tsa+A4e6v6VOGlzsPYE3+ISRu+4/F2/8erXR5l/dFtxKUmOuQYzuKLLHTYW5jvtuQdMSTvjCmU\n",
       "3uUmcXe1bK3zk7t3lQEEAMeVUi0uUXcl8Bi2BaZfB54DutrLUUp9ICK/A7cBq0Wkl1Jq74Uitftf\n",
       "/gff7/fm/Ih9vV8w99btRTWfAIcEt5iDMXw+9EtKl/Hg8SkjKFepnCW9kNohAByNPApAdFS0rTwk\n",
       "2JKubm2DDZ0+dnRbA332Ngush5dHGf4+tIYVERuoVzmEJ9sPoFlgPf46aP3xA2fyBeixFwr33ebX\n",
       "OO8//OHztpEfhZrEbcgmBTgkIvcppX4UW/etqVJqK7ABmAUcUEqdEZGtwHBswQwRqaOU2gnsFJE2\n",
       "QD3gouB2OULK1+DhxvfyX8w23MSdHrU6cSbjLOEnjlo+seSYZD4b8gWnU07TZcAtRGw9TMTWw7S8\n",
       "5VJxvHD06t0Tf/8qTJk8FR8fH6ZPm0FwSDCdu3a2bK8u7bV/ryd8TzgAcVFx/PHdQpp1aEr1kGol\n",
       "Ulenti4f62hrOu09lGy7v26v142E08fpU+8mlFJEHL/k4EuRcDZf6LJXx3dbYZ6WvJa5sC+vgAHA\n",
       "IyISBuwAbgdQSp0FjgDr7HVXAj5Kqe329yNFZLs96J2lGItPHz+TghvCQw3v5pHGfYlJTeCNtZ+S\n",
       "fOZE0c/sAhIiE0lNTkVlKv749E9mvjSbmS/PtqTp6enJrDmz8PHx5rlRzxMYGMDsOTMRBzzSp0t7\n",
       "zpfz+Oq9bxARDu4O58PnP2bHxl2W7dWlq1Nbl491tDWd9u5LjGD0P1/i4ebOq11G4OHmzuh/vmR/\n",
       "ovXfd53NF7rs1fHdVmDKG8OVw6S80Y9JeZODSXmTg0l5Y8OVUt4UJhO3m4g8KCKv29/XFJG2jjbS\n",
       "YDAYDAZHUZhhyUlAByDU/v6UvcxgMBgMhhJJYR4oaaeUaiEiWwCUUkki4qHZLoPBYDAYik1hem5n\n",
       "RSR75p6IVAGsr59kMBgMBoMmChPcJgI/A/4iMgbbZOT3tFplMBgMBoMFChyWVErNEpFNQNZjP3cq\n",
       "pXbrNctgMBgMhuJT4FQAEamZtWl/VQBKqSMa7bomERH1a8S8q22GoRhsjNlecKVi8lLrF7To/nX0\n",
       "Ty26ParfqkVXJ87miz4LHtWi+/tdX2jRBQh8vZvDNU+MWZ/vVIDCPFDyJzmTmctgWztxL7bM3AaD\n",
       "wWAwlDgKMyzZOPd7EWkJPK7NIoPBYDAYLFLk5bfsqW7aabDFYDAYDAaHUGDPTUSeyfXWDWgJWF8x\n",
       "1GAwGAwGTRTmN7fcGaPPA78DP+kxx2AwGAwG61w2uNknb5dXSj1zuXoGg8FgMJQk8v3NTURKKaUy\n",
       "gE7iiBwlLoSIdBGRDrneDxeRB3Uf96s3v+HB1kO4M6Qf7zzyvlNoG10biUcSmfHYDMb1Gsf73d5n\n",
       "1lOzSI5Kdoj2mtVradOiLb7eFenYthNhW8IK3qkQ6Gxvumx2Nl/osjcLDzcPpvV8nyX3TOOJZgMc\n",
       "oukomz+4bRT7XvqTpHfWMOfBD7PL29VsyuonZxHz5j+seGw6TateXyz9yz1QssH+Ggb8Ys8McK/9\n",
       "755iHU0TYqeY+7oXXOsibgKy84UopSYrpWYW5/hFQYDOt3eybTv43w1d2kbXxsmEkwB0HdqV5n2a\n",
       "c+i/Q/w25jfLuunp6YT2CyU19TTjxo8lNjaO0P4DyMy0vkKeLl/ostnZfKHT3iwebHAnlb38AFAX\n",
       "pacsOo60WaH4aesS27Z9vrVnqdJ8G/oeZT3K8NKfH1PFpyIzHhhTrDx0lwtuWWplgESgG9DH/nd7\n",
       "kY/kYEQkWET2isgMYDvwmohsEJGtIvJmrnoP2cvC7HURkeki8qWIrAM+EJE6IrJQRDaKyEoRqWev\n",
       "d7uIrBORzSLyl4j4i0gwtgzbT4vIFhG5QUTezHrwRkSa2/fZKiLzRcTXXr5CRN4XkfV2u28o6jkP\n",
       "ffNh7nykjzXHXWFto2ujRtMaDJw0kDb3taH3qN54lfMiPjzesu7iRUuIi4tn2IihDB0+hEGDBxIR\n",
       "HsHKFSsta+vyhS6bnc0XOu0FW3bre67ryYxdPztEDxxr84t/TGDSmjl5ynpc34Eq3n58vX4+0zb8\n",
       "zKxNv1LLL4gbQ1oWWf9yv7lVEZFR2AJHSeU64EGgAnCfUqqtiLhh62neCCQBrwAd7NkMfO37KSDI\n",
       "Xq5EZCkwXCl1QETaYUvp0x1YpZRqDyAiQ4DnlVLPisiXwEml1Hj7Z93Jmej+LfC4UmqViLwFvAE8\n",
       "bf/cXSnVTkRusZf3KOoJ60wuq0vb6IJ7qZwBgujd0aSdTKNht4aWdSPCIwAIqhaU5zUiwnqWaNDj\n",
       "C1P/SIEAACAASURBVF02O5svdNorCM+0ephfDv7NvuRwy3pZONpmIW+PrJafTS86Jc7+Gp+rfFOR\n",
       "tC8X3NyBckVSu/IcVkptEJEPgZ5ZaXkAb2yBzxuYq5RKAlBKHc+17zx7YPPBlq9uXq6ub2n7aw0R\n",
       "mQsE2ssO5dr/on6yiJQHKiilVtmLZgC519Oab3/dDAQX9WQNzk9CRAJznpuDX5AfvUf1dri+zn9+\n",
       "dOFM/6ToxJH29gq+kYCylfj7yBpCKtQAwMfDm/KlfUg5e8phx9Ht4wuDX1G4XHCLUUq9VWzlK0Nq\n",
       "ru33lFJf5f5QRJ7gEkHIzmn7qxtwXCnV4hJ1JgIfKqV+F5EuwJtFtO/CY5+xv2aQj++/mzA3e7tJ\n",
       "+0Y06WBWOXMV4sPj+fbxb/Eo48GDnz2ITyWfgncqgJDaIQAcjTwKQHRUtK08JNiyti502exsvtBp\n",
       "bxWvilTwLMfkm9/JLuteswNnM88xYfO0Yuvq9vHhZJtetQoBAASVrwJARJJtavX5wymcP5xSKK3C\n",
       "zHNzBhYD74jIbKVUqohUA84Cy4CfRWS8fVjSTymV5xE1pVSKiISLyH3/z955h1dRbX34XbQASSD0\n",
       "EkoCCIgUI0VEQCwUC7aroFgABTt2vJbPglhBsRcEBaSKigp6ERFFOggkhN4DgQAJLYRAKMn6/phJ\n",
       "JX1mICfs93nOc2b22fM76+yZM2t2Xar6gz0wpYWqRgIVgBg7a78MhyXYn2VEbK1DItJRVRdgNZnO\n",
       "LcgP6fNUrxw/+/evFezcGA1A3O79/PHdHJpf2ozaIbUK8hVnVdvoWsTvi+fbR77l+JHjtL+jPbvW\n",
       "7GLXml0079o874NzoXuPblSvXo1RI0cTEBDA2DHjCAkNoXOXzo50wbuy8MpmXysLL+39Z9dStsdb\n",
       "9oZUqMO9zW7m372RzNg6x5GumzZ3a9KBC6s3BKBOUA3uad2TFbvWEZd4iPsvvZXEk8e5u01PdhyK\n",
       "Yf72lQCUql+BUvXTb70nFuS8nkhuA0quKbC1Z5/UCAWzgUnAYhGJBKYCAaq6DngT+EdEIoD3sx5r\n",
       "cxdwv51nDXCjnf4aVnPlciAuwzEzgFvsgSYds+j1BYaLyCqgJfB6brYXhJ+/msG3wyYhAlEbdvL5\n",
       "CyPZsGJTQWXOqrbRtTi06xCJhxNRVeZ8MYdpr0zjp1edd/T7+fkxYcoEAgL8Gfz0c9SsWYOJU8YX\n",
       "anRZVrwqC69s9rWy8NLenQl7WBCzggUxK4jcvwGAmMRYtsQ7C+bips2DOt7Fq90eRlEuqtGID29+\n",
       "npa1GtNv8osknjzO29c/SWzCQfpNealQtuYZ8sZw9jAhb3wXE/ImHRPyJh0T8iadsx3ypsALJxsM\n",
       "BoPBUNQxzs1gMBgMxQ7j3AwGg8FQ7DDOzWAwGAzFDuPcDAaDwVDsMM7NYDAYDMUOMxWgCCEiWv8d\n",
       "94fLvn/7ANc1Aa6vf5MnugC/7fjFE10vbfaK15YOzTtTIWhbs6Unul7hi9fbm3Om5p2pELx0dc6L\n",
       "PRRVvDh/5Ur5m6kABoPBYDh/MM7NYDAYDMUO49wMBoPBUOwwzs1gMBgMxQ7j3AwGg8FQ7DDOzWAw\n",
       "GAzFjvPGuYnI4yKyTkTGn2tbCsttzbuz7bnZZ7xqB1Z3rP31kHHc3+4hbm90F28PHO6CtRaLFi6m\n",
       "bVg7gvwr06Hd5USER7ii65W94J3NXukejD7I5Mcm8fF1H/FB1xF89+QUDu8+nPeBeeBVGfviufPS\n",
       "5l/vGMnyAT+mvSbd8n7eB+WBOXfFzLmJTQ4fPwxco6r35FOryAVyXbIzgkHT32DQ9Dd46td3OJV8\n",
       "mrijB9l7dL9jbRHo2LODve08nhRAUlISfXr1ITHxGMNHDGPfvlj69L6blJQUx9pe2Ave2exlWRzd\n",
       "fxSAjgM60eL6FkQtj2LmO85DuHhVxr527sA7mwEUZcWetbzw1/u88Nf7fLTsW8ea5twVA+cmIiEi\n",
       "slFExgGrgZdFZJmIrBKR1+w8XwINgN9F5EkRKS8i34jIUjvg6I12vn4iMl1E5gCz88g3TURmisgm\n",
       "EXk3gz09RGSFiESIyJ92mn92OgVl15F9/LbhH37b8A8nk09RumQppq7+nRR1/ue975W+3HDftY51\n",
       "MjLr9z+IjY3jgYcGMvDBAfTr35eo7VHMmzvPsbYX9oJ3NntZFsEtgrnz0z5ccuslXPNkV8oGluVA\n",
       "1AHHul6Vsa+dO/DOZgBB2JMQy4KdK5m9bRFLd69yrGnOHRS52kkhaQTcA1QEblPVdiJSApguIp1U\n",
       "9SER6Q50UdWDIvIWMEdV7xORIGBpqiMCwoAWqno4j3ytgIuBk8BGEfnY3v4K6KSqO+xjAF7KTkdV\n",
       "jxX2B/e5+AaSU1KYHPFbYSXOwO3FaqK2RwFQO7h2pveoqB2u6HuxuI5XNntZFiVLlUzb3rN+D0kJ\n",
       "STS5sqljXfCmjL3S9cXrDaya2/UXdOGGxldy6PgRPv13Ar9smuNc9zw/d8XFue1Q1WUi8h7QTUTC\n",
       "7XR/LMc3P0v+bkBPEXnW3vcD6gEKzFbVw/nIN0dVEwBEZB0QAlQG5qnqDoA8dOoCGwvzY+sF1eLy\n",
       "+mH8tXUpMQmxhZE4J/jiUm9e2eyF7oEdB5j23x8JqhVE16e6uq7va/jK9fbThtlEHd5N6ZKleLzt\n",
       "PbzY6SGWxUSy52jcuTbtnOHGuSsuzi0xw/bbqvpVPo65VVU3Z0wQkUuzaOWW70SGpGSsssztjJyh\n",
       "kx2HZ29L2y7boBJlG1Y6I0+fi3sCMCF8el5y55TQBqEA7IreBUDM7hgrPTTk3BiUD7yy2euy2L99\n",
       "P1Men0ypsqW445M78a/s74quL+GL1xvANxE/pm03q9qIu1r0pF7F2ueVc8vvuZs3dx7z/slaV8me\n",
       "4uLcUpkFDBWRiaqaKCLBwElVzXqVzAIeBwYBiEiYqoYDWXtI85sPLMe2BPhcREJUNUpEKqvqwVx0\n",
       "ziCoa4Ncf2DpEqW4rXk3dsfvY+62ZbnmLQgr/g5n56ZoAPbHHGDO1L9p1u5CaoXULLRm9x7dqF69\n",
       "GqNGjiYgIICxY8YREhpC5y6di6S9XtrsZVkc2XeEyYMmkXQkiU69O7N7zW52r9lNs2uaOdL1qox9\n",
       "7dx5afMFlevzaJu7WBi9kpIlSnLDBV1IOn2CLQedNaUW13PXuUvnTGlvDn0rR02fH1BiowCqOhuY\n",
       "BCwWkUjgeyAgYx6boUBpEYkUkTXAkAx5CpMP+/v3Aw8A00QkApich06B6dGkE5XKVWDyKuej4TIy\n",
       "fdRvTBr+HSKwY8NORr40mo0rNznS9PPzY8KUCQQE+DP46eeoWbMGE6eMd2WUlRf2emmzl2VxePch\n",
       "jh0+hqryz5dzmfHadH4dMsOxrldl7GvnzkubDx6PR0R4qPUdDGp7N7sTYnlm9rscOO5sKoc5dybk\n",
       "TZHChLxJx4S8SceEvLHwxevNhLxJx4S8MRgMBoPBIca5GQwGg6HYYZybwWAwGIodxrkZDAaDodhh\n",
       "nJvBYDAYih3GuRkMBoOh2GGcm8FgMBiKHWaeWxFCRPT46ayrfxkM3lCuR2NPdI//7nxSr8GQH8w8\n",
       "N4PBYDCcVxjnZjAYDIZih3FuBoPBYCh2GOdmMBgMhmKHcW4Gg8FgKHYY52YwGAyGYodxbnkgIkNE\n",
       "5GqXNbuISKECbi1auJi2Ye0I8q9Mh3aXExEe4YpNvqbrpbbRtWgUHMpfw6cS90Mk8T+vZ9Y7Ewmt\n",
       "Wc8VbV8rC1/T9VLbV3TPK+cmNgU5RlVfVdU5XtlUEJKSkujTqw+JiccYPmIY+/bF0qf33aSkpJxX\n",
       "ur5os6/pAtSuUgOAV8a9x5g/pnJNWCdGPz3csa6vlYWv6fqizV7oFnvnJiIhIrJRRMYBq4GXRWSZ\n",
       "iKwSkdcy5HtZRDaIyHwRmSQiz9jpY0XkP/b21SKy0o6o/bWIlLHTo0TkNRFZYX/WxE5vJyKL7GMW\n",
       "ioijWbOzfv+D2Ng4HnhoIAMfHEC//n2J2h7FvLnznMj6nK4v2uxrugCL1i7nqsG9+GLGtzz5+asc\n",
       "OhpPs/oXONb1tbLwNV1ftNkL3WLv3GwaAZ8BTwHBqtoOCANai0gnEWkL3Aq0BK4F2gCpS7cooCJS\n",
       "FhgD9FLVlkAp4OEMeeJUtTXwBfCsnb4e6KSqlwCvAm85+RFR26MAqB1cO9N7VNQOJ7I+p+ulttFN\n",
       "53Ty6bTt1o1bUimgIvNWL3Ws62tl4Wu6Xmr7km4pRxb5DjtUdZmIvAd0E5FwO90fuAAIBH5W1ZPA\n",
       "yWz6wwRoAmxX1S122jjgUeAje3+a/b4Sy1ECBAHfikgjLAdYOi9D3xjyZtp25ys60blL5xzzerV0\n",
       "mq/peqltdKFJ3YZMf/0btu/dyaBPX3Zd35fKwhd1vdQ+27rz5s5j3j/z86Vxvji3jAs2vq2qX2X8\n",
       "UESewHJgaUnZaGQtbcmSdsJ+Tya9XIcCc1T1FhGpD8zNy9D/e/WlHD8LbRAKwK7oXQDE7I6x0kND\n",
       "8pLNFV/T9VLb6GbmwnoX8Nfw7zh24jhXDe5N7OH9jjV9rSx8TddL7XOt27lL50wP/G8OzbkxrNgv\n",
       "nCwiIcAMVW0hIl2xHM7VqpooIsHASaA+MBLogFW7WgGMVNURIjIGmAH8BmwCrlLVrSIyFlihqp+I\n",
       "yHagtaoeFJE2wHBVvVJEpgETVHWa3b/XV1VDRaQL8Iyq9sxia64LJ584cYImDZpSrnx5nnrmSd55\n",
       "613Kli3L2o2rKeA4GZ/W9UWbi6JuXgsn16lWi+Wf/Y/KgUH839jh7Nhn3Xi+mzs91+PyWji5KJZF\n",
       "cdL1RZsLq2sWTrZrWKo6G5gELBaRSGAqEKCqy4HpQCTwP6yBJ/GZBFRPAP2B7+1jTwNfZtTPsJ26\n",
       "Pwx4W0RWAiWzyVcg/Pz8mDBlAgEB/gx++jlq1qzBxCnjHf8RfE3XF232NV2AhrVCqFaxCiWkBG/f\n",
       "9zyTXviUic9/4ljX18rC13R90WYvdIt9zS2/iIi/XZsrD/wDDFRV9yad5M8GE/LGcNYwIW8Mvk5u\n",
       "Nbfzpc8tP3wlIs2AssDYs+3YDAaDweAexrnZqOpd59oGg8FgMLjD+dLnZjAYDIbzCOPcDAaDwVDs\n",
       "MM7NYDAYDMUO49wMBoPBUOwwA0qKGGsOhuedqYjQa8yrnmlP7T/EE92RkVM90f2ky9ue6HrJ15+4\n",
       "v5SWl7T5spdn2mN7veCJbvPKYZ7o+tJ9IpXIA2vO6veZmpvBYDAYih3GuRkMBoOh2GGcm8FgMBiK\n",
       "Hca5GQwGg6HYYZybwWAwGIodxrkZDAaDodhhnFsWRKS1iHyUd86zz3svfkj3Zj1pV6MTT939XJHU\n",
       "fuXqR1n26PdsGfwHo24dmmf6ubY3J0qVKMXQ9i8y8qoPuLPxf1zRXLRwMW3D2hHkX5kO7S4nItyd\n",
       "tbm90t0XtY9hfUfwxGXP8GibJ3n//o+Ii45zRdsrm2+5sCsz7x7Fvw/8wJc3DKFa+cqu6Hp1vXlV\n",
       "Dl7Z65WuF9eacW5ZUNUVqvrEubYjWwS63XqNtelCzCcvtFWVGev/srYzhKzLKb3QeFkWQM/QHgT5\n",
       "BQHu2JuUlESfXn1ITDzG8BHD2Lcvlj697yYlJaVI6gIcjrVCGt40qCeX33oZ6xdvYOzLExzremXz\n",
       "RdUaMeTKQew9up8Ri8fSNrgFr3R51LG9gCfXm5fnzrP/h0e6Xlxr541zExF/EflNRCJEZLWI9BKR\n",
       "tiKyyE5bKiIBItJFRGZkOOYb+7OVInKjnd5PRKaJyEwR2SQi72b4nh4issLW/DM3nYLy7JtP0ufB\n",
       "3m4Uh2faQ//6nK+X/5jv9MLiZVkEB9Tm6rpXMH37TNc0Z/3+B7GxcTzw0EAGPjiAfv37ErU9inlz\n",
       "5xVJXYCGYQ15btzTXNWnC31e7E35CuWJ2brHsa5XNreu3RyAqWtnMnn1r6zfv43O9dtQwc/fsc1e\n",
       "XG9enjuv/h9e6XpxrZ1PK5T0AHar6vUAIlIBCAd6qeoKEQkAjmc55iVgjqreJyJBwNJUhwW0Ai4G\n",
       "TgIbReRje/sroJOq7rCPyVFHVY8V9Ed4GVzWLW0h+ye6nNILixdlIQh9m97B37vms+PITtd0o7ZH\n",
       "AVA7uHam96ioHUVSF6BU6ZLp37NmB8eOHKN1d+crbnhl88HjhwFoXesiNsRto37FWpZ+YA2OnNjm\n",
       "SBvcv968PHfg3b3CC10vrrXzyblFAu+JyDvAr0A8sEdVVwCo6lE4o6rdDegpIs/a+35APUCxnFWC\n",
       "fcw6IASoDMxT1R225uFcdOoCG7Ma+dWwr9O2W18eRuvLL3H0ow0F4/Jal1KlXGWWrP+XOgHWzaZ8\n",
       "qXIElPbn6Cn3oqT70o1nz7a9fPzI51StU4U+L93hur5bNv++ZQG3X3QtvZpbr8STxxERTiafdEXf\n",
       "a7x8cPUV8rrWNizbyMZl+Yv0ft44N1XdLCJhwPXAG8Df+Tz0VlXdnDFBRC4FTmRISsYqy9yuzjN0\n",
       "suOB5+7Pp1kGL6hUNoiA0v68cml6Z/mlNdtwKuU04zd8V2jd0AahAOyK3gVAzO4YKz00pNCaXuqm\n",
       "ErMlhuH9P6RM2TI8O+YpKlat4FjTK5tPp5ym70//5YLK9UnWFF7o9ACtal5IdPxeR7pe4fW58zXy\n",
       "c601bdeEpu2apO1P/+y3HPXOG+cmIrWAQ6o6UUTigYeBmiLSRlWXi0ggkLWZcBbwODDI1ghT1XDI\n",
       "tn1NgSXA5yISoqpRIlJZVQ/molMgFsxexNb1VvPK3l37+GXir1xy2cXUbVCnoFKeaV/Z4FIaVw0B\n",
       "oHZgdXq16MHS6EgaVK6bbfqOwzHn1N6s/LsvnF1HLZuCA2rRM7QHaw6sZ+6uBY50u/foRvXq1Rg1\n",
       "cjQBAQGMHTOOkNAQOnfpXCR1AQ7uOcjwfh+QGJ9I18dvYmvENrZGbOPS69sWSZsF4b8dB7J+/1aa\n",
       "V7+AS+u0YlzET5xKOe1IF7y53rw8d179P7zS9eJaO28GlAAtsPq6woGX7dcdwCciEoHlgMpiOanU\n",
       "GthQoLSIRIrIGiB1qfqMedJQ1f3AA8A0W3NyHjoFYsLnk/nszZGICFvWbeWtZ4YR+e/qwkh5pj2g\n",
       "3e0MvuJ+VJWm1RvwZvenaB18UbbplwRfdM7tzcreY/sIj4skPC6STYe2ABB3fD/RR3c70vXz82PC\n",
       "lAkEBPgz+OnnqFmzBhOnjHc84swrXYDY6DgSDh4lJUWZ9sHPjBr8DaOe+8axrlc2K0rr2hfx8hWP\n",
       "0L1RJyZF/spHS751bC94c715ee68+n94pevFtSamnbfoICL6b6yzGsLZxIS8SccXQ95M2jzeE90+\n",
       "F9zjia4JeZOOCXljcf+FD6Gq2T4NnE81N4PBYDCcJxjnZjAYDIZih3FuBoPBYCh2GOdmMBgMhmKH\n",
       "cW4Gg8FgKHYY52YwGAyGYoeZClCEEBG98Rf3VyipHRjouiZASMXqnugCXFK9pSe6nWpd6Ylu6y+8\n",
       "G6a+4mFvpi94xUervIkY5dU14SVeXW++SNepA1zXXNBnspkKYDAYDIbzB+PcDAaDwVDsMM7NYDAY\n",
       "DMUO49wMBoPBUOwwzs1gMBgMxQ7j3AwGg8FQ7Cj2zk1EokSkssff8ZuIOI/imE9KlyjF51e9wU89\n",
       "v2Jg8ztd0Xyu9ZOM6PQ2H3Z+hxfbPEOzyk1d0d2/cz9fPTCK1696g1c7D+HrR77hwK6DjnU/e2Uk\n",
       "vcLupnu9nrzscgSBRQsX0zasHUH+lenQ7nIiwiMca97c9GpWPzr9jFetgGpF0l4vtX3xmvBK29fO\n",
       "nZe6U3t+xD93TEh7fd3jLUd6xd65YcVdcx4gKbcvUL1eVY94+R0Z6d24J5XLBrmquTV+O1M3T+N/\n",
       "UbOp7V+LOxvf5orukTirWLo+dA2te17ClmVb+XHoNMe6InDlTVZQR3Hx9CYlJdGnVx8SE48xfMQw\n",
       "9u2LpU/vu0lJSXGku2z3ap6dNYxnZw3j+dkjOJV8mv3HDrEv8UCRtNdLbV+7JrzS9sVz56XNihIR\n",
       "u57XFn7Caws/4YuISY70ipVzExF/uxYVISKrRSR1Zu0gEVlhBwttYuetLCI/i8gqEVksIi3s9NdE\n",
       "ZLyILBKRTSIywE7vIiLzRORXEdkgIl+IHVUwtXYoIiEisl5EvhKRNSIyS0TK2nna2t8fLiLDRaRQ\n",
       "Ef7qV6jDjQ2uYfLG6Y7LKyM/bvmF1QfWsfHQZk6lnCb+pDu+un7L+jzw1UAu69WeGwf3pFyFssRu\n",
       "j3Ws+8iQB7l1wM0uWJiZWb//QWxsHA88NJCBDw6gX/++RG2PYt7ceY50YxJimbVlAbO2LOBU8ilK\n",
       "lyzFT+tmk6LObgpe2eultq9dE15p++K589JmQdibuJ8leyL4O3opy/c6i/9WrJwb0APYraoXq2oL\n",
       "4Hc7PU5VWwNfAM/aaUOAFaraCngRyBiytzlwJXAZ8IqI1LLT2wKPAc2AhsCtdnrGZV4aAZ+qanPg\n",
       "MPAfO30MMFBVw4DTZBPJOy8E4bFWffkt6m+2HI4q6OG5Uq5UWYZd/jrPtX4CUH7Y8rMruiVLl0zb\n",
       "3rVuF8ePJBEaFuKKther60RtjwKgdnDtTO9RUTtc+47bL+pBckoK36+d5VjLS3u90va1a8IrbV88\n",
       "d17arCjdQzrx+21f88stX3Bdgysc6RU35xYJdBWRd0SkY4amwtQ2j5VAiL19OTAeQFX/BqqISCCW\n",
       "0/lFVU+o6gHgb6Cdnb5MVaNUNQWYDHTMxobtqhppb68AQkSkIhCgqkvt9EkUoqn06nqXU718FeZG\n",
       "L6Zq2UoA+JcuR2CZgIJKnUHS6RN8vOpLpm7+iRJSggHN+rratBO7PZZxT42nUu1K3PhcT9d0vcbt\n",
       "G1rdCjVpX7cVC3euZM/ROFe1wbdu7r56TXiFL507L3R/3fo3ryz8iNcXf8bJ5JMMbns/Nf2rFlqv\n",
       "lGuWFQFUdbOIhAHXA2+IyF/2Ryfs92Qy/+b83r1T244ynknJkJ6RExm2k4Fy2eTJ8Xs3TF6Ztl21\n",
       "eS2qtqiVtl+lbCUqlAngwy6vpqVdUac9J5NP8Xnk+NzszxNF2XhoMxsPbeaS6q1oVLEB5UuVI/H0\n",
       "MUe6APu27WPUQ19TpmxpBo68n8Aq3qx16QahDUIB2BW9C4CY3TFWemiIK/q9ml8LwJQ1/3NFz0t7\n",
       "vdT2pWvCK3zx3Hlp8/h1v6RtN63cgF5NrqVOYE32Ju5PSz+8bh/x6/LXhF2snJvdfHhIVSeKyGEg\n",
       "t5U65wN3YTnBLlhNlwl2P9pNIvI2EAB0Af4LNAXaiUgIsBPoDXyZH7tUNV5EEkSknaouA+7IKW/T\n",
       "Oy/JUWdhzHJ2JOwGoH5gbe5ociMrY9cwM2pufszIkQsrN6F1tYvZdiSKSn5BNKgQwsGkQ644tsN7\n",
       "DzPqwdEciz9Ox0e6sjNyJzsjd9KqeytHukvn/EvURqspJDYmjplT/qDlpc0JDq3tSLd7j25Ur16N\n",
       "USNHExAQwNgx4wgJDaFzl86OdMEa5XpT06uJSYhl/o7ljvXAW3u90va1a8IrbV88d17pNgyqy8CW\n",
       "vVkSE0HJEiXpEdKJpNMn2XY4OlO+oGY1CGpWI20/elrO/XLFrVmyBbBURMKBV4A3yFzb0gz7rwGt\n",
       "RWQV8BbQN0OeSKzmyMXA66q61/7sX+BTYB2wVVV/ynAM2Wxn3L8fGGXbVh6IL+iP23V0D0v2rGTJ\n",
       "npWsObAJgL2JcWw/Ep3HkbmTeOoYIRXq0fuCW7myTic2HtrM55GjHWmmcmDXQRIPHUNVmfXpH0x5\n",
       "aSpT/s/5Kvc/jJzGN++MQ0TYvj6Kj/77KetWrHes6+fnx4QpEwgI8Gfw089Rs2YNJk4Zjz12yBHX\n",
       "NOxAUNlAfnChry0VL+31StvXrgmvtH3x3HmleyjpCCUQ7m9xGw+26k1MYhwvLRjBwaQC3ybTMCFv\n",
       "siAirwJHVfX9LOldgGdUtVCdAyLir6qJ9vbzQA1VfSpLHhPyxsaEvEnHhLyxMCFvfJuzHfKmWDVL\n",
       "ukh2Hl9zSM8v14vIC1hlHgX0c6BlMBgMhlwwzi0Lqprt8gOq+g/wjwPdqYBvPYIbDAaDj1Lc+twM\n",
       "BoPBYDDOzWAwGAzFD+PcDAaDwVDsMM7NYDAYDMUO49wMBoPBUOwwoyXPA7yaj/ZEqyc80QXo/dvj\n",
       "nuh+yk95ZyoE93a43BNdL/FqPpqX14XBwhfP3fFjSZ5pZ4epuRkMBoOh2GGcm8FgMBiKHca5GQwG\n",
       "g6HYYZybwWAwGIodxrkZDAaDodhhnFsBEZHWIpLrUCURaSUi17r93bX8q/NGh2cZ3/0DJl/7Ca+1\n",
       "f4oa5QsfqTYj04fN4I2ub/JCm5cY++S3rmgCLFq4mLZh7Qjyr0yHdpcTER7hiq5XZeGVrlflC96V\n",
       "sS/abHQtfPHcje35DnPvmcD8eycx8eb3uCw4zJGecW4FRFVXqGpe42XDgOvc/u7KZYMAmLTxF+ZE\n",
       "L6RVtQt5rFXfPI7KJ0JasEgXwkkBkJSURJ9efUhMPMbwEcPYty+WPr3vJiUluwDmBcOrsvCsjD0o\n",
       "X/C2jH3NZqObAR87dwCrYjcwfPFoRkd8T8NK9Xj+8gcc6Z13zk1E/EXkNxGJEJHVItJLRK4WkZUi\n",
       "EikiX4tIGTtvWxFZaOddKiIBItJFRGZk0PrG/myliNwoIqWB14HedlovEdkkIlXtY0qIyGYRqVJQ\n",
       "2zcc3Mr/LXqPmVFzGb1mCkdPHaNuoPMowwA3Du5Jx7vcnas16/c/iI2N44GHBjLwwQH069+XqO1R\n",
       "zJs7z7G2V2Xhla4X5QvelrGv2Wx00/G1cwfwwdKxLIhewfKY1ZxMPsX+Y4cc6Z2Pk7h7ALtV9XoA\n",
       "EakIrAauUtUtIjIOeFhEvgCmAL1UdYWIBADHs2i9BMxR1ftEJAhYCvwJvAy0VtXH7e9oCtwFfARc\n",
       "A0So6oGCGp6syWnbjSrWJ6B0eRbFrCioTI64Hbc2ansUALWDa2d6j4ra4Vjbq7Lwsoy9iAvsPWcA\n",
       "3AAAIABJREFUZRmDb9lsdDPjS+cOIKBMeWbfNQaA46dOMGLpGEd6513NDYgEuorIOyLSEQgBtqvq\n",
       "FvvzcUBnoDGwR1VXAKjqUdUMdz6LbsDzIhIO/A34AfUAsV+pfAPca2/fBzg6a8EBNXnp0kHsO7af\n",
       "r9ZMdiJ1VvEi6rtXZWHK+Ozhlc1G13vctPnYqSQenTmE9xZ/TckSJXj7ymcQCt+met7V3FR1s4iE\n",
       "AdcDbwB/ZclS0NK8VVU3ZxIQuTTLd+4SkX0ichXQFrgzJ7ENk1embVdtXouqLWpl+rxuQC2GdniW\n",
       "E8kneXnRe8SfOFJAc88eoQ1CAdgVvQuAmN0xVnpoiCv6XpWFKWNv8cpmo+s9Xtqcoin8u2c1/+5Z\n",
       "zdWhHQireSEV/PyJP3E0LU/ChjgSNu7Pl95559xEpBZwSFUnikg88ChQX0QaqupW4B5gLrARqCUi\n",
       "bVR1uYgEAseyyM0CHgcG2dphqhoOJACBWfKOBiYA4zSXx52md16So+1Vy1bijcsHE1C6PNM3zKZp\n",
       "pYY0rdSQ+TH/5r8AcmDD/A3s3boPgMN74/n35+WEtg6lat0Cdw2m0b1HN6pXr8aokaMJCAhg7Jhx\n",
       "hISG0LlLZ8f2elUWXul6Ub7gbRn7ms1GNx1fO3ftgy+ma2gHImM3UsO/Ki2rNyYmITaTYwMIbFqN\n",
       "wKbV0vb3zNiQo+b52CzZAlhqNyW+jNVvdh/wvYhEAqeBL1X1FNAb+EREIrAcWVlA7RfAUKC0PRBl\n",
       "DTDETv8baCYi4SLSy06bAfjjoEmypn91KpQJQKQE91x4K0+3HshTrQcWVi4T88bPZ9anf4DA3s17\n",
       "mfbmT+xY5awd3c/PjwlTJhAQ4M/gp5+jZs0aTJwyHnFh+JZXZeGVrhflC96Wsa/ZbHTT8bVzF38i\n",
       "gYuqXcDgywbQ+6LrWBazmqdnv+1IU3yxndcXEZE2wPuqekUuefTGX+53/bs71Gnouib4ZlQAr/Cq\n",
       "jMG7cvbFleUNFr547jqOvdt1zRUDfkJVs/Ws512z5LlARJ4HHgL6nGtbDAaD4XzgfGyWPOuo6juq\n",
       "GqKqi861LQaDwXA+YJybwWAwGIodxrkZDAaDodhhnJvBYDAYih1mQInBt1Cl1p4jNNqyn7rRhylz\n",
       "MpnTpUqwr0YgWxpVYWe9yiSXMs9sRRJV2BlNiZXhyJp1SEIClCqF1q1DStjFaKsWUK7cubbSUEww\n",
       "zs3gE5RPPMnVczZx7cwNBMfE55gvvkJZ/rymMb/3aEpsjazz6A3nhOPHKTllKiW/HEWJFeE5ZtOA\n",
       "AJLvvpPkhx9AL2p2Fg00FEfMPLcihIho4qkE13X3HIt2XRNg6b6lnugCvPzzxLTtrmtiGTptA9WO\n",
       "nsz38SdKCh92a8jXneuRXDK9Jrf6qZ9ctTOVn7f/4IkuwKU1Ls07UyEYtcbdOF+pzFqzPm374i0H\n",
       "GDIunHqxifk+PkVg4tUN+fympiSVSX/+/uEOZ5N6cyP2+D7PtL3gQNLBc21CgbmmTg/XNcuV8jfz\n",
       "3Ay+R4kUZchPG+izdHem9AS/koTXD2JtcCBHypXC71QKTfYe5ZKow9RIsBygX7Ly35lbuHp9HA/0\n",
       "u5j48qXPxU84f1Hl/pmbeGT6BkpkeH4+UaoEqxpWZkO9ihwM9KP06RRC9x6l5baD1NlvrW5XQuGe\n",
       "P7dy+Zp9PDboMvZULX+OfoTBlzHOzVAkkRRl2NS13LJyb1ra3gp+fHpNKL+E1eSY35mXbokU5cr1\n",
       "+xn05zZa7LZqwG2i4hn/1QruerA1CeWMgztbPDJ9AwP/tyltP6FcKUZf25hfLq9PfECZMw9QpfWm\n",
       "AwyYuYn26+MAaLD3KF+/t4D7nuvI3srGwRkKhul5NxRJBs7bkcmx/dqqBtc+3Z7J7etk69gAUkoI\n",
       "cy6qxn8ea8uI7g1IsRsrLoo5yvDv1noT4MpwBl2X787k2JY1qcptr17Ft90vyN6xAYiwoklVHn7i\n",
       "Ml6/52JO2IOCah06zojPl1Eq2YXo1IbzCuPcDEWOClt28+SsrWn7U9oF8+SdzTmSz6bF5JIl+Ozq\n",
       "Bjx/W/qghK7r9nNT+N5cjjK4gf+hRF6YHJm2v6B5dR4b1J7YSvkcBSnCTx3r8+Sjl3LSdnAXRsfT\n",
       "//fNeRxoMGTGODdDkSNs+Pf4JVu1rNXBgbxySxO0RMFXHf+xbW0mXFYnbf+FXzfDyfwPSjEUnKvG\n",
       "LqKSPfBnb6WyvDCgDadKlyywzpJm1fnsxqZp+wP+t4mScQUOXm84jzHOzSNE5AoRucxNzWefHExI\n",
       "cAMCylTgtptvd1OaqK1R3HVDP9qGdqBVnbb0vXkAO7e7M8ryiSuf5e4m96W9Xrzp1Rzz+u/aT+25\n",
       "6U/+/+3VLG204493fUzE4z+z+onpTL/3CzqHtAGgdfBF/NZvJOue+o1f7vmMZtXTV+h/97pG7Au0\n",
       "msKqHT1JyZ9n5Gqrl2VckHIoCF6eu8hfVzHy9i95/6r3mPr0dyTE5Tyat8yxk7SeuSZt/507W3LU\n",
       "7uesV6EWX90wlL/u/Zb5/Sbx+XWvERxYA4Bvbx7G/H6TWNR/CpNvHUGHOmEATOjaiPV1K1rap1MI\n",
       "HD8tV1u9LIcB1z7MNY2u56rQa+l7zUCW/LXMFV2vtU8mneShqwZxY+htjHx1dJHWXbRwMW3D2hHk\n",
       "X5kO7S4nIjzCkZ5xbh4gIqWAK4EOLgtze+/bU7/DVel9e6xO/CdeHMRtd93CormLeXHQK65oiwhN\n",
       "2zXhsQ8e4rEPHuLO53rlmDf0l0WI3Tc2r3FlNtZKn6u2ImYtr8/5jE8XT6Rx1RBe7/o4ZUqW5rOb\n",
       "XqFc6bIM/esLqvhX4tObXkkLT3/MrxST26fX3kp9O5Fc8bCMC1IOBcGrc7dn/R5mvjOTwBqBdHnk\n",
       "SnaG7+SP4bNyzN9s/ibKJp4AIKqGP/Na1Ez7rJp/ZQC+WD6Z6RvncGlwS17p/CgAq/auZ9jCUYxa\n",
       "OZWGlevxYseHAKsPddLVDdI0Aif9nKu9Xl7DLdo15+k3B9Hv6XvYtmE7w//7gSu6XmtP+fh7Duy1\n",
       "pw24eD27rZuUlESfXn1ITDzG8BHD2Lcvlj697yYlpfB9rWa0JCAi/sBUIBgoiRWEdBjwHXAtcBzo\n",
       "o6pbRSQE+AaoAsQB/VU1WkTGAknAxcBuLMeWLCJ3Y0XqrgW8AiQD8bnFdcuJ9z4Yxs4dO/ni0y8K\n",
       "/2Nz4JJLL2bir2PT9n/5bgZbNm5xRVtVqRZclYuvaElZ/7K55q2yalva9vSwmpk+e+vvkVQqV4G6\n",
       "FWvxaPIpYhMP0qVBO6qUD2LU3FFMXvUr1QMq89hld9G+XisW74xI03lytqVbYtlya2BJDn9IL8u4\n",
       "IOVQELw6d9GrrFrPxTeF0axrM9b9sZati7eSdCSJshXOtL/e2pi07d/b1snUlLxq7wYe+PXltP3r\n",
       "LriCBpXqAvD+kjEE+QUSXKEmA5JPEXcsfQ7X7NbBvDI+gtLJSpnN2ylx+AgpQRWytdfLa/iJIY9y\n",
       "+EA8MTtiGFemNFVrOotofTa0t6+P4pdvfuXuZ+5kzFvuzWn0QnfW738QGxvHW+8+ycAHB7B3z17e\n",
       "fvMd5s2dR5eruhRK0zg3ix7AblW9HkBEKgDvAodVtaWI3AN8CPQEPgHGqOp4EekPfAzcYuvUBi5T\n",
       "VRWRV4EEVR1ha0YC3VR1j61fKLyadF+6dPpgjdUr1xB/+Ag9burmiraIMP/nhcz/aSGBlQPp/cx/\n",
       "6HJb9mHpK61LjxYcWadips8C/fxZ9uj3ABw7lcRbf4/kkmBr0Mi+o/ut9wTrvU7FdMe4o0o5Dpcr\n",
       "RdDx08ihQ8iOnWhI/Rzt9aqMC1IOBcGrc+dfyRp+v2tVNDUa1+DQrkMAxO89TNkKNc/IX3tT+kTo\n",
       "tSGVMn12WpPTtptVbUgFvwD+3LYYgIAy/sy5dxwAx0+d4P3F36TlPVGmJFtqV+DCaGtVmjKR60nq\n",
       "nP2kdi+v4YT4o1zf3PqblytflseHPOKKrlfaKSkpfPL8F9zQ91oatXAvkK5XulHbowCoHVw703tU\n",
       "VOGjh5tmSYtIoKuIvCMiHVX1iJ0+2X6fAqT2n7UHJtnbE4CO9rYC32vmO2PG6sFCYJyIDKAIP1Rs\n",
       "3bSNB+98lDr16/Dq8Jdc0bzy9it44qNHeOT9ByjtV5pvXvmWuF37s81b9sCRtO2dVTKPsEs8eZy+\n",
       "U5/n9TmfU1JK8FHPF884PtumRBGiK6drSWxcIX+JMwpSDoXB7XPX9KoLqdOiDuE/hzP6rlEkn05B\n",
       "VSlZJvvLN+DQsbTt6GrZz0sLqRjMh91fYndCLO8u+gqAY6eO8/BvrzFs0WhKlCjBu9cMTmtWBthV\n",
       "zT9tu2Rc3itzeHENlw8ox0dTh/PUG4NITknh5Qded9Rk5rX2n9//RdzuOK685QoO7LUG4iQeSST+\n",
       "4JE8jjw3ullx4wGzyN5kzyaqullEwoDrgTdE5K/ssmXYzqmR+VgO6ajqwyLSzv6OFSLSWlXP+Ke+\n",
       "+fpbadudruhE5ys65ecnuMLmDVu4p2d/ypUrx4QZ31C1elVXdG96+Ia07W2ro/h97B/s3bGPanWy\n",
       "0c9wUWddVCdFU1i0M5xFO8O5tkln2tZpTsyRWABqBVYDoEaApRl9eE/mYzOOtjxH890KVA4FxItz\n",
       "V7J0Sfp8fhf7t8UhJUrw54d/ErNmN0G1g7I/INO5O/Mv0iCoDiNvGErS6RM8+OvLHDxu1cZSNIVl\n",
       "MZEsi4mka2gHwmo1o4JfAPEnrMErKRmkJI9z59U1XLJkSdp0ak2bTq35a8ZcVi1dTcLhBCpWrpj3\n",
       "wedA+8Ceg8QfOMLj1z6Tljb3p3mU8SvNY28/XOR0QxuEArArehcAMbutJu7Q0JBM+ebNnce8f+bn\n",
       "S9M4N0BEagGHVHWiiMQD99sf9cZqnuwNpEbRXgTcgVVruwuYl4NsApDW/CgiDVV1GbBMRK4F6gBn\n",
       "OLeXXjmzNpLK7//7nbVr1wEQvXMX474ZR8fOHWnYyHnzQMyuPdx9Q3/iD8XT///6Er5sFeHLVnHD\n",
       "bdc50t25IZqpH/xIq84tSU5OZsHPCylTrgx1G9fJNv/Jiv6UPXQUgNqHk9hZxaoBdAppw3VNOrMy\n",
       "Zh21AqtxSe1m7Irfx19bl3Dg2GH6XNyTxFPHub1FD6Lj97IkelW6qCrBh5LSdyvlcHPGuzIuaDkU\n",
       "BK/OnaYocz7+kxoX1GDPhr3sWBFFuzvaUSqHmtvxCuVg92EAah08xs4aAWmf1fCvylc3vEGFsgFM\n",
       "/Hc6LWs0oWWNJsQnHaV7w46s2reBGgFVaVmjCTEJsWmOzdI6nradnEN/m5flsOTvZfw1fS4t2l7E\n",
       "vt1xrFmxjlp1a7ri2LzS7nhDB+o3rQfAjo07mfzhVFp3CePau7oXSd3uPbpRvXo1Ro0cTUBAAGPH\n",
       "jCMkNITOXTI323fu0jlT2ptD3yInjHOzaAEMF5EU4CTwCPADUElEVmENFLnTzjsIGCMig4FYoH8G\n",
       "nYyPlTOAH0TkRuBx4CkRuQCr1venqkZSQD4a8THz5y1ARFizeg2PPfw4X47+whXntnN7NAf3H0RE\n",
       "eG+INVpLRBzfGCpUqYCmKD9+/BMnk04S3CiYXk//h6Bq2f95DzWrT62FawFovishzbkdPn6EVrWa\n",
       "0vPCKzlx+iSLdqzk7blfcTL5FI/9MpQhXQfxf1c+zOb9Ubw4K/Nos5rxJ6hqz73SgAA0l/LyqowL\n",
       "Wg4Fwatzh0B0RDSrfllF6fKlaX1bazo/lPM4qJjGNai73qoxN9txmKUXVk/7rE6FmlQqVwFVZVC7\n",
       "ewCr6enen5/jouoX0L1RJ06ePsmy3ZGMWDo27bhSySk03pUeBeJkqwtz/H6vyqFipYqsC9/A7J//\n",
       "ooxfGdp0vITHXn3IkabX2nUb1aFuI+vBKTDIGnFcs35NGjZvkNth50zXz8+PCVMm8NTjTzH46ee4\n",
       "qHkzPvvyU0cjlk1UgBwQke1Atk2HHn7neR8VoOWIH2n+5a8A/K9FdQbd09KxZv95O/i/X60VLpKv\n",
       "6MSJP//nWDMrJioAtJ2+iv+8OxOA9XUr0uelKxwPE+8SsYcPvrDmfZ2qV5udq/90bGd2mKgA3nO2\n",
       "owKYASU5Y7z+OWBHz/Zp293WxhGcoUmqMJQ+ncI9i3el7Z++0525ZYYzWXtFY07ZTZYXRscTtsXh\n",
       "DViVu+akL8N29PYbcslsMGTGOLccUNUGZ7PWZrCIvyCYfe2aAFAqRXnzx/WOBoA88td26h+wHOSR\n",
       "sqVIvsPdVUcM6RyrWI5V16Q3G740cRVlTiXnckTu9FwcTZtN1oi8ZIEj/cy5M+Qf49wMRY5Vz9yW\n",
       "NkKu0+aDPPbn9kLpdN64n4f/ikrb//iaUPD3z/kAg2Pm9L+cY37WWpIN9yTwwqRIJKXgDyeNo+MZ\n",
       "/N3qtP2pXUI5XS/YNTsNxR/j3HyU/A6HLShL5ru3rl1G1i3dkO+8+8Ma8U2nemn7T83exn9/20zp\n",
       "09nP/Tm+NUsFW5WbV+zhy3GRlLZvrMtDKjKuY71sjs4Zr8q4IGVRELw6dwA7V+ZvMu2h2kF8dEt6\n",
       "NIabF+1k6JiVlE86lW3+hI1nzvNrvy6Wr0YsJDDptPXd1fz5OINmfvCqLFYudLbe4dnWBVi9eE3e\n",
       "mYqQ7ry5OQ1ALxjGufko8z268S5d4M1NYX0Bb+jv92jEggsqp+0/8M8Ofv54GZ037j+jJnB866G0\n",
       "7aYxCXz5bSTvf7cWP9sZ7qpUlif6tMg81y0feFXGBS2L/OLVuQPYGb4z33m/vyKUXy6rm7Z//bJd\n",
       "/DDkb7r9u/uMuGxHN6U7tzpxibzybThffLSYiscsZ3ikfGkGP9iWpBxi+OWEV2WxcpFHzs0jXYDV\n",
       "S9b6lK5bD5VmKoChSHKyVAke7NuKTydEcuUGq9+l6d6jjPk6gh1VyrGoUWXW1g4kvnxpVsYk0H/G\n",
       "JtpGHaZVdOaVEqKqlOPegZewN8i9tRwNuaMlhNfvDSO5ZAluXWDV+GodPM67o5cTV9GPRc2qs6Fe\n",
       "EAcq+LFkVzx9f1pHy22HaLspcy3uYGAZHn38MjbVdT5dwnD+YZybociSVKYkA/tdTN9F0Tw7cwvl\n",
       "TllP/fUPHKf+gd1p+V4DBmRz/MT2wbx73QUkljWX+dkmpYQw9O5W/NukKv+dEklQolUTqxZ/gpsW\n",
       "R3PTYmt6ymvA/ZwZRHZOWC3e6tOSg9ks0Gww5Aczz60IISLmZBgMBkMByGmem3FuBoPBYCh2mAEl\n",
       "BoPBYCh2GOdmMBgMhmKHcW4Gg8FgKHaYYWSGNESkMlCnMBELDDkjIiWwwiOFqurrIlIPqGmHQHKi\n",
       "2xGIUNWjdrT4MOAjVS18+OJ07QDguKomi0gToAkwU1Wzn41dBBCR8kBdVd3ogtaMXD5WVb3Rhe9w\n",
       "zd6zgYhUUdUDHn+Ha/cgU3PzEUTkSRGpKBZfi0i4iDgLomTp/iMiFeyLagUwWkQ+yOu4fOh2tG+Q\n",
       "iMg9IjJCROo71bX1hts2lxaROSKy3765O9XtKCKzRWSziGy3X9tcMPlzrEjufez9o3aaU74AEkWk\n",
       "FfA0sBVwa6n/eYCfiAQDs4B7gLFORb0qYzu0VDiWrYhImIhMdyD5fi6vEc6s9cTejNqrRSTSfk99\n",
       "LRCRD0SkigPpJSLyvYhcJ05i0Zxpryf3IFTVvHzgBUTa792Bn4DmQLgLuhH2+wBgiL292gXd1Vix\n",
       "61ph/YkfBf5xqSxW2e+3AF8DFVPLx6HuRuBaoAZQNfXlgm54xveMv8El3VeBAfb2SpfKOFV7EPCc\n",
       "izZ7VcYrgaAsZbzGjbLw4uWlvcBw4G2sOJUtgbeAD4HngRkOdEsA3YApWA9SbwONXbDXk3uQaZb0\n",
       "HVKflK4HxqvqGpcenkrakch7Af9np7kxP+S0qqqI3Ax8pqqjReT+PI/KH6nX7Q3AD6oa79IcwcOq\n",
       "OtMFnaycFJGSqTsiUg3IfqHMgpEgIi8CdwOd7O8o7YIuACJyGVZzaup5c6Olx6syPqWqh7P8JxyX\n",
       "sYg0xnIOFwGpM8pVVZ1F5/TIXptrVDUsw36kiISrapiIrM7xqDxQ1RTgD+APEbkKmAA8IiIRwAuq\n",
       "uqiQ0p7cg4xz8x1WiMgfQAPgeRGpgDt/htexmkYWquoyEWkIbHZB18sb7wwR2YAVIf1hEalubxcK\n",
       "EWltb/4tIsOBacCJ1M9VdaUTY4FPsGrb1UXkLeA20v/ETuiN1dR5n6rutfvy3nNBF+BJ4AXgJ1Vd\n",
       "a18Xf7ug61UZrxWRu4BSdsT7x4HC3mwzMgarZjwC6AH0B0rmekT+8MpesJzFpaq6FEBE2pH+YHK6\n",
       "sKIiUhXrYedeYB/wGDADq3XmByCkkNKe3IPMJG4fwR6UEAZstZ/4qgDBWkQHf4hITaw/wjJVnW/f\n",
       "eLuoqit9Qnb7fLxaAx78gUBVPXMdp/xpzSWXJ0VVvbJwVmb6jguBq+3dOaq63qmml4hIQ1XdmnfO\n",
       "AuvOJZuydlrG9jXwElazGVg3y6GqWuiHHlt3papeIiKrVbVFxrSiaK+t3RbLKQfYSQlYte+1wPWq\n",
       "OrWQupuwamvfqOquLJ89r6rvFFK3o6ouyCutwLrGufkGIjJHVa/OK60QusOAN4DjwO9YT2FPqep4\n",
       "B5qlgNluOIUc9P2xBlDUU9WB9pNvE1X91aFuA1XdlldaIbUrAfWwWksUnNdWROQ/wDtY/Vep7Vuq\n",
       "qhWc6Nra84A6wL9Yg0vmqWqhm7R8FRFZBHTCqpnMAWKAt1W1yTk1LB+ISEUAVY13Sa9XVseYXVoh\n",
       "dMOzNKO68gBhmiWLOCJSDigPVLNrK6lUANyI3thdVZ8TkVuAKOBWYD5QaOemqqdFJEVEglT1sAs2\n",
       "ZmUM1qiqDvZ+DNbNx5FzszWy/qG+B1pnkzffiMhQoB+wjcxNyU6d/zDgBi9qgaraWUT8gDZAF+A3\n",
       "EQlQ1cq5H5k7IhKE1czX2U6aC7zu9AYsIn8Ct6Veb/Z/ZbKqOh1R/CTW/+9xYCjW/66vQ00v7UVE\n",
       "ygL/wWomLGX366mqvu5Q+nkgqyN7IZu0fGH36XbAurc9TfoDWiAuNP0a51b0eRB4AqiNdUNPJQH4\n",
       "1AV9rwZnJAKrRWS2vQ3WH+xxF7QbqmovEbnDFk10MrjGbjJsBgSJyK1YfzLFupG5sSx9byybT7qg\n",
       "lZG9XjVvijWHrjPQEWtU329YNTinfIM1kvZ2rHK+B+th5VaHulUzPkip6kERqeFQE02fi5iA9YDi\n",
       "Fp7Ya/MLcBjrfuFGM+e1wHVAHRH5mMxOyMm8xzKkO7LADOlHsPqlHWGcWxFHVT8UkU+AF1V1qAdf\n",
       "4ergjAxMs1+pjlJwZxQmwAm7RmsJWx3QJ3LJnxdNgJ5YUwp6ZkhPAAY60E1lLVAJqxPeTZaLyHfA\n",
       "z0Cq41RVneaC9j9YN8e3gf+pqpPyzUhDVc3oyF4TkVUu6CaLSH21J7CLSAjujJZsAjyLXQuyk1VV\n",
       "r3Io7Ym9NsFu1AAzEIN1Ldxkv6f+lxOApworqqr/iMhCoIWqDnHD0IyYPjcfQUQiVPVij7RdG5yR\n",
       "Rbc8Vr+Yq6GnRaQbVmd8M2A2cDnQT1UdjeYTkctUdbELJmbVbYv1NL2GdCes6nCVCxEZm6qVMV1V\n",
       "+zvRtbWDsGptnYB2QDKwRFUdjfIUkSXAYFWdb+93BIar6mUOdXsAX5Feu+wMPKCqvzvUjcSaLL8S\n",
       "qwzAOncrcj4qX7qe2GtrfwV86vZgMxEpjTXi2dX/tH1NXKYuOyPj3HwEEXkPWAL86OZF4OHgjBux\n",
       "JpP6qWqIiIRhTdB0vGyRrV8VaG/vLlHV/bnlz0Prk1w+dtyUKiLrsW6Qa0h/OldV/ceJrteISDOs\n",
       "m25nrL6RnaraOfej8tS8GGsVldTw2oeAvqrquPYm1vzB9ljO3tE1kUFzhao66nPNRdt1e23d9UAj\n",
       "YDuZH6ZaOtT15D8tIl9idbt8DxzLYK+jFgjj3HwEETmK1bGdTHqzoeORcSIyFaup4V5Vvch2dotU\n",
       "tZVD3ZXAVcDfqSOhRGSNqjZ3optBvxXpTUWpow8L9WcQkX5kbj7NiKrquMJZmab/r6q2daKRg24T\n",
       "rGW8atrnriVwo6q+4YL2NqzVROZj1S6WudlnKNY8TVT1iIuawZx5TTjqJxSR14A4zpyXd9CJrq3t\n",
       "ur22bkh26aoa5VDXk/+0Vy0Qps/NR1DVALv58ALcGeSQiquDMzLg2QoMIjIGa2mhtVk0C+XcVHWs\n",
       "C2blxnwReRuYjrsTl0cBg4Ev7f3VwGSsqR1OuUBVk/POlj9E5B5VHS8iz5DhJibWBaKq6mi9RhF5\n",
       "F2vgzjrSmw/B+SCYflj2PpshTbEWUyg0XtgrIhXshwXXHhiy4Ml/WlX7OdXIDuPcfAQRGYg1HLkO\n",
       "EIHVnLEY60nKCW4PzkjFyxUYLgUucr2N3hpM8xxWX15qmbgxeOASrBti+yzpTqcClFfVpak3G1VV\n",
       "EXFr1f5GIpKxVtgK6OmgVljefg/EvYFFGbkFqzndrYEvAKhqiJt6GfDC3slYy/Ot5MwyduyQ8eg/\n",
       "LSJ1gY+x+njBcvBPaJaJ4gVGi8AiouaVr8VF12DdcFMXGb0Qa2kkp7rdsEbGxQGTgB3AlS7o+mOt\n",
       "ybfcfr0JlHWpLMZhOTe3y3g21uKtG4ArsIaoDzvX5z4Xe2di9a2kLnJ8G1ZYGje052E9RKRqC7DW\n",
       "Bd2O+UkrZFkEelDGZbCm4vyINQ9yEFC6qNrr5cur/zTwJ9ayZqkDVvphLQLhSNf0ufkIIrJcVduI\n",
       "tUhpe1VNEpF1qtrMBW3XBmdk0LxdVb/PK62Q2l2wmvj24m6HeepSS5GpWqnl7lDXq4nLDbFG3HXA\n",
       "GpixHbhLHfat2Nqp11va6hFujNgVj1ajEJFpWKvrzCHzNeF0MNDXWC1c40ifl3daVQc41PXEXltb\n",
       "sOYNdsRqNlygqj851fUKEVmlWfr4s0srKKZZ0neIFmsJp5+B2SJyCGtFETfww7o5lgKM/oYJAAAS\n",
       "+ElEQVSaiQjqvGP7RazRT3mlFYavsRZkzjj60A1SB0zsFZEbsOb3VHJB15OJy2qt/Xi1PQiopLo4\n",
       "OAOIE5FGqTsichuwp7Bi4vFqFFgPO9Nxf15l2ywPTXPs6QFO8cpesAYZNcRqphTgIRHpqqqPFEZM\n",
       "RD5S1Sck+wCuqs5HQB8QKx7jJCx77wAcP2Ab5+YjqOot9uZrYi0+WwFrLUhHuN2xLemrGQSLu6sZ\n",
       "ZCRWVV0J7JiFN+1a1jNYK/lXwMEk1Qx4MnFZrMWp38SatNvDHrp/map+7VQba8X3kUATEYnBWjrs\n",
       "bgd6nq5GoapjPZpXeVpEGqnqFkirLRd6Zf1UPLQXrL7cZmqFqEkdjbjOgV7qYufvZ/OZGw75Pqz/\n",
       "W+qgokVYzZSOMM2S5zlirfTdQl3q2LYHHoRhhbF4mXTndgRrCPEhF77jc6wloWbg/socruPhxOXf\n",
       "sWqAL6lqS3uSbbi6MN1CMq9PWBnr/Kk6XJ9QRELcaDbNRterOVhXY5XxdjspBOivqn8VRXtt7V+B\n",
       "x1LL2Z4a8Kmq3uBQNwA4rvYoWrHCWJVV1cTcjzw3mJqbYSvWU7Urzk2tybirRGSiqrpVU8tKeSx7\n",
       "u2VJdzbp07t5Yw8B4+xaIcBB3FmnsKqqficizwOo6ikRcVyrsMm4PmGMS5oAx8RakMDtEamvYQ2A\n",
       "+dsWDBcRp6MDUdU5YgUsbYJVS9no0oPga3hgr00FYL2ILMOyuR3wr92s6KQZcQ5W2Kaj9n55rFA9\n",
       "HXI8Ih/YteEPgctsexdhRSZxFI3DODfDcSBCRNzu2N6UzXw5VecRjFGP5sXg3byxDVgr+DfEqnHG\n",
       "Y63T57Rp8qhYcf0AEJH2trYbuL0+YSoTge+wFup+EMvJx7mg6+ocLBG52nZs/8G64aYKN7L7pJ22\n",
       "EngZifsV+z27hQmcNNX5qWqqY0NVE+ymVadMwloEPrXpvjfW/+5SJ6LGuRlSO7Yz4kpHfIbtslj9\n",
       "KlVyyFsg7Hl595P+9J+6usN9DqW9mjeWsRa02wW9VJ7BapptIFbcsWq40H9ls0hEWqr7wXCrqOpo\n",
       "EXlcreXH/hGR5S7ouj0HqzNWTaUn2f8fnDo3z+aBqupcEamFVWNLAf5VF9aKBRJFpLXa62qKSBus\n",
       "h2OnlNPM8SMniMhgp6Kmz81w1nBjyLet8wOwHivS9xCsgQ7rXRj2PRNrHtP3qhpmjxC8X1Wvdajr\n",
       "2rJjWXTLYg0CaoL1dL4RKKHuRHP2an3CJaraXkT+wJq4G4NV3g0d6pYH/g8PIlt7gXgbiXsAVu0t\n",
       "dSHxLlhTTxwNNBJrAfAppI+arQX0VlVHDyf2oLbDWLU1sGpulbBaO9BCLnVmnNt5ioh8r6q3i0h2\n",
       "0ZXduIm1Jv2JtwRW0MuHnc5dsbUjVPXi1Plo9kCKBarqqBnDbvsfidWHcBh7hKDTARDi3SrtZzws\n",
       "uPgAEZJdugtl0RNrvcq6pI9Ifc3J6FfxMPK7ZFkuzCYeWKGqEW5/nxvYg8QuU9UD9n4VYLGqNnZB\n",
       "uwyQqrPRjX51EYki59aiQndlmGbJ85cn7PeeueYqPO+TfsGexpqT18sl7dQRkvEi0gJrMnc1F3R3\n",
       "Y42M+5v0EYL3Yo38LDAZHhxKAv1FxJVakN3kVBsoLyKXQKbgqm70gTh2Yrnops6VOoxVo3BD08vI\n",
       "762xHsxmYJXz9Vh9sQ+JyA+q+m5BxM7CnDGw5ogdzbB/FBfmjdmO7WEyLEYgIl+64OCeA35X1SMi\n",
       "8grWaOs31GlYIVNzO7+xm0eS1Irl1oT/b+/+g+2qyjOOf59oFZQfAkZlHCVYSwwYOoCVAKFCASdS\n",
       "6jStgJCWVhnBcVDU0j86Y2oUOlIFWh2KlKhBwHQEBEVASVrQBKQEAjQJ0U7aQqalOGM7gUZSxClP\n",
       "/3jXTs69ubn35u69c86+5/3M3Mk5+5yzzsqZc+/a+13veleEuL7XYqZjbSXschtRPHkZsW5qse1r\n",
       "x33hxO3ew465se1r/myPtb5nMu3NGu/xqQ4gkv6ISMR4B1EGqbIVuH5Ql0RAexmpku4g/ig2uvO7\n",
       "pNXAe6pEipIOfzewgLh6m7Ob7R1je62iys5odgPbIEm6EXg7MdcLkby0rvzYUyxSrfaqtay3Pbcs\n",
       "kbkMuIL4fa4XicnBbbgptrGYT8S4HwAeBl60vahmu68lSk7NJ64qVhNx//+u1+MRoaLeLLDngEfq\n",
       "hIramhtri6T32b613/3YHZJWUTJSy7ymgA22j6jZ7h+XmyMqfrj+dkU/AY502e5H0iuBdbZna4xS\n",
       "YrvRbmtrxhTb9MAuqp94irteq6cs3XjHptBuNc1wObDe9jfqfLaVDEsm2d4m6XzgGtufVwPVM4iJ\n",
       "5x8S6b0CziVSwE9toO3eUBFEWvl64MKphIp6tJUh2IquDWxFKxmpbq/ixzeAhyR9m/ge/w6wvEQ8\n",
       "6lT9aGXNGIDtJQCS9i33t9Zts2ilWgvwdJmXPg24vCRKzajbaA5uqar7t4hIr4cGvlhE2OnSnvuX\n",
       "STq7gXYhkhGO7gkVfZoIFb2LCCnu7jxIK3NjaUyN1qzsaWd7xQ+gsYofti9VVIKpBp0Le7ID60Q3\n",
       "2lozRpmHvoGy9EbSz4jdzjfUbPpPgXvL7wfAIUTprLrOIsK8X3Cs/Tu4vFctObiljwN/Rmyf80Q5\n",
       "G7tvgtdMxgpJ5xBXaxBFg1c00C5E8kjvrtC/BF5frkCnkkrdVlJN2tlFxE4GVc3KJ6k3SFSW0F7F\n",
       "j72Arba/JmmmpENtPznhq8a3raU1YxCf7ydt31faPokdu0fUcRAxzz2LmMc7jpijrqWEYr/Vc/8Z\n",
       "mjjhyTm31AZJPydCLVXVhRmMnOjfr0bbi4lwZ2+o6A5iIvq6uvOFg04jq2bs9As8qAklZV7pL21f\n",
       "UuacZrihnQwkPWT7WI3coqeJ+aAlRBh8tu3DJL0RuNn2CTXbHb1m7A3A++uuGSttt7KFTFuJH23J\n",
       "K7chJ2msqzS7Zq0/2/vUef0EbVehohOIP+5NhYq6oqqa8TribLwq4nsyUeViIAe3kpE7X5J6Q3IN\n",
       "aavix0IiC3MtgO2nq7msmg4t7R5CnKhV1USa8GQ5AbyROAFaRKzZrKvKID4DWGr7TkmXjveCfsrB\n",
       "LfXGtqtK8I0U3y1p3rPo+Z41dVVh+2Eis3PouNTWlLSS2NrkmXL/YCJNe5A9DnxH0i3AtnLMDXwv\n",
       "LiIqlPyCqHRxD9DEH95f2H6pSoApiSRNWGz7Zkn7EyclVwBfpmY9xeKDROWe6jNdTTNzY60kfrQl\n",
       "w5JpJ5Ietv0bEz9z3DaWEfH5J+g5I7Vde5+mFEqa+hyXX2JJM4CNtt/W357tmmJvsbFCqVP6Xki6\n",
       "0fYfSvq47b+u279RbYvYtumNRJmszxGDxHLbX6rZdivp720qA/sCYinEpnIyNdd2U3PpjcrBbchJ\n",
       "OrDnblUm64u2Z9dsdyNwhPML1hpJVxOlkKodjM8GNtn+aF87tgeV79mpxMa9J41+3FOsS1jaFrHE\n",
       "5BNAtUPCPbZXTrXNnrbvIirinEaEJ18AHqo7L1bang1cwsioSe2phq7JwW3IaWRdt6pM1mds31+z\n",
       "3a8Dn7f9RK0Opl0qf3wXEuWQDKyyfXt/ezW+8r242KVMlqQDgCs9xR0dJH2MKAn1Fnbed86uucVS\n",
       "6e/f2F5Tp50x2m3tKkjSOiLE+Sg75snsmuWsuiYHtyFX1tZ8hKgk8hJwP7GYu1Z18pJ+fAdR9zHX\n",
       "jCVgRzhuomNTaPda2x+u17sx2/1nYneEzYzM9h3Y77GktbaP6Xc/+i0HtyFXJvb/B7iJHZVE9rd9\n",
       "Zs12/5UI52xg5JzbU3XaTTuUJQGXA69nRymyWsss2laq35xchQtLWPyHtuc20PaJwFttL5M0E9in\n",
       "7no0tbQ7QhvKZyli26afEQkl23cNrxOi7aIc3IacpI22D5/o2BTafdD2cfV6l8ZTTiDOsP3jfvdl\n",
       "siSdR+xjdjPxh/hM4C9s31Cz3SXEfPFhPevRbrFdu5xVV6ilrWO6KpcCpEclHWf7QQBJ8yhremp6\n",
       "TNJyov5jVU2kiZTvtMNPuzSwAdi+QdJaIv0dYKHtOjUaK2OtR2ttreUgsj0LQNJZjLGFTD/71g85\n",
       "uA2pnnqKLwcekPTvxFnfm4kdnet6FTGovXvU8RzcmvOIpG8SlVq6dAJxIPB8FT5sqJxVW+vRuqha\n",
       "Qzcf+C2i5uY1NLOGrjNycBte49VTrB2rrhYap1btT9Qj7MwJRG85K2IvvlcQ871TLmdVskbvlPS3\n",
       "wGskXUCsR/tK7Q530+hKIndJGrort5xzS62Q9CbgS0QWJsAqIgX8P/rXq9RvJaHkKGKjz0ZqQLa5\n",
       "Hq2L2lxD1yV55ZbasozYC+uscn9ROXZa33o0zUjam9im6HBgb8oV91TXjO0hjYcPbbvM4z1n+5K6\n",
       "7U0DrWwh0zUDWxcsdd5M28ts/7L8XE8U+k3NuZFYBrAA+AGxz13TBYkbs4vw4T/QTPhwHvCgpH+T\n",
       "tL78dGLT2abZft72t2xvKvefGdQSWW3KsGRqhaR7iSu1qjTU+4EP2D6lrx2bRnrqE66zfaSkXwHu\n",
       "94BuQdJyOatZYx0fxPVoac/IsGRqyweAq4Gryv0flWOpOVWG5HOK3Zd/SmzkOpDaDB/mIJZGy8Et\n",
       "teWzwHm2t8D26glX0MzWGyksLZ/rp4hSZ/sQVewH2TzgDyR1ppxV6qYMS6ZWtFVDMHVbhg/TnpJX\n",
       "bqktknTgqBqCL+tzn1Kf5SCW9pQc3FJbriSy10bUEOxvl1JKwyLDkqk1ko4gyv8YuLehGoIppTSh\n",
       "HNxS6qhRBXIXA0cDl9p+tM9dS6nvchF3St21uAxs84FTgK8SOzCnNPRycEupu0YXyL2TKESc0tDL\n",
       "wS2l7npa0nXA2cBdkvYif6dTAnLOLaXOKkWHFwDrbG8qBXLnDmMdwZRGy8EtpY4pawZ3qVpbmNIw\n",
       "y8EtpY6R9BSxvELEzulbykMHAJttH9qnrqU0MDI+n1LH2J5VBrCVwBm2D7J9EPDb5VhKQy+v3FLq\n",
       "KEkbbL99omMpDaMsv5VSd/2npE8BNxEhynOBp/vbpZQGQ4YlU+quc4jdzW8Hbiu3z+lrj1IaEBmW\n",
       "TCmlNO1kWDKljpH0RdsXS/ruGA/b9nv3eKdSGjA5uKXUPTeUf68c47EMxaREDm4pdY7tteXm1p7b\n",
       "AEg6ow9dSmngZEJJSt21VNLc6o6kc4A/72N/UhoYmVCSUkdJegtwK7EE4ETgPGJR93N97VhKAyAH\n",
       "t5Q6TNJs4NvAZuD3bG/rc5dSGgg5uKXUMZLWjzr0OuBZ4EUiW/LIPd+rlAZLDm4pdYykWeM9bvup\n",
       "PdKRlAZYDm4ppZSmncyWTCmlNO3k4JZSSmnaycEtpZTStJODW0oDSNL/SXpM0npJN0vau0Zb10v6\n",
       "/XJ7qaQ54zz3XZKOm8J7PCXpwMkeH/Wcn+/mey2R9Ce728c0XHJwS2kwbbN9lO25RIr/h3sflLQ7\n",
       "pfNcfrD9Ids/Hue5JwPH725n2XVNy8lkrO1uVltmwaUJ5eCW0uBbDby1XFWtlvQdYIOkGZK+IGmN\n",
       "pH+SdAGAwtWSfiJpJbEOjvLYDyQdU24vkLRW0uOSVko6BLgQ+ES5ajxB0kxJt5b3WCPp+PLagySt\n",
       "kLRB0lJis9RxSbpd0iPlNR8a9dhV5fjfS3ptOfarkr5XXrOqLFhPaVKycHJKA6xcoZ0O3F0OHQUc\n",
       "YXtzGcyetf1OSa8E7pe0AjgaOAyYA7wB2Ah8tbzegCXNBK4DTixtvcb2s5KuJQoyX1XefznwV7Yf\n",
       "kPRm4PvA4cCngVW2L5N0OnD+JP47H7S9pYRY10i61fYW4NXAw7Y/KWlxafujpX8X2v4XSccC1wCn\n",
       "TPGjTEMmB7eUBtPekh4rt1cBXwNOANbY3lyOvxuYK+l95f5+wK8RdSaXOxaxPiPp3lFtC5hHDE6b\n",
       "AWw/O+rxyqnAHGn7oX0lvbq8x8Ly2rslbZnE/+liSb9bbr+p9HUN8BLwzXL8JuC28h7HA7f0vPcr\n",
       "JvEeKQE5uKU0qP7X9lG9B8of+edHPe8i2ytHPe90Jg4TTnbeSsCxtl8coy8ThiJ7nn8ScdU1z/YL\n",
       "ku4D9trF+5mYMtky+jNIabJyzi2l7roH+EiVXCLpMEmvIq70zi5zcgcTSSK9DPwj8JtVKa+ejMat\n",
       "wL49z10BfKy6I+nXy81VxG4ESHoPcMAEfd2PGKxekPQ24sqxMgM4s9w+F1hteyvwZHVVWuYRs2Zm\n",
       "mrQc3FIaTGNdWXnU8a8Q82mPlmLKXwZeZvt2YFN57OvAj3ZqyP4v4AIiBPg48Hfloe8CC6uEEmJg\n",
       "e0dJWHmCSDgB+AwxOG4gwpObGVvV3+8DL5e0Efgc8GDPc54H3ln+DycBny3HFwHnl/5tAN47weeT\n",
       "0nZZWzKllNK0k1duKaWUpp0c3FJKKU07ObillFKadnJwSymlNO3k4JZSSmnaycEtpZTStJODW0op\n",
       "pWknB7eUUkrTzv8Dc2UrZOTqIFoAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cabf650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "guesses = dmoz_encoder.inverse_transform(np.fliplr(np.argsort(clf.decision_function(X_test))))\n",
    "real_labels = dmoz_encoder.inverse_transform(y_test)[y_test == predicted]\n",
    "pred_labels = np.array([g[1] for g in guesses])[y_test == predicted]\n",
    "cm = sklearn.metrics.confusion_matrix(real_labels, pred_labels, dmoz_encoder.classes_)\n",
    "analysis.plot_confusion_matrix(cm, labels=dmoz_encoder.classes_, title=None, showwarnings=False, cmap=plt.cm.Greens)\n",
    "\n",
    "def draw_circle(pos, r=0.5, color='r', fill=False, linewidth=3):\n",
    "    c = plt.Circle(pos, r, color=color, fill=fill, linewidth=linewidth)\n",
    "    fig = plt.gcf()\n",
    "    fig.gca().add_artist(c)\n",
    "    \n",
    "draw_circle((6, 3))\n",
    "draw_circle((3, 14))\n",
    "draw_circle((8, 14))\n",
    "\n",
    "plt.savefig('confusion_first-was-good.pdf', bbox_inches='tight')\n",
    "#plt.scatter([1],[1])\n",
    "#plt.xlim((-0.5, 14.5))\n",
    "#plt.ylim((-0.5, 14.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "85"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inds = [g[1] for g in guesses] == dmoz_encoder.inverse_transform(y_test)\n",
    "sum(inds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAbcAAAG3CAYAAAA3lxvrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8VPXZ///Xmy2BhMWogCCa4IK7IIItSkS9q/ZutYtW\n",
       "7x+1FauoXd2q92KtUsWqWPtta221i1Cwpa5VbAWXiqFARYGwqahIWIWA7AkJS67fH3MCQ8w+84Gc\n",
       "yfV8PPKYmTPnvOeaz5nh4pyZOUdmhnPOOZdJ2hzoApxzzrl08+bmnHMu43hzc845l3G8uTnnnMs4\n",
       "3tycc85lHG9uzjnnMk67A12A20uS/y7DOeeawMxU23Rvbi3M9l1ljZrvnlGj+dGdt6f98eOWGzK7\n",
       "peQe/pPPNWq+8qnL6TTsiOaWlbbslT9+pdG5LWWMMzU3ZHZTc8+beHWj5lv+zAKOuOTkRs0744qJ\n",
       "dd7nuyWdc85lHG9uzjnnMo43t5gqPHuo5wbOjltu+/yuQXJDZsdtjOOWGzI7VG7X47unJUd+bMmW\n",
       "Q5I19jM313o09jO3lqIpn7m51qOxn7k1xYwrJtb5hRLfcgtI0o2SOqYzc8b0mQwaMJhuOXkMGXwm\n",
       "xXOLW2VuyOy45e7+ZDubxy1kw5hZbLjvTbZMWMTujRUtNhfiN8Zxyw2ZHSr3oz/N5q3vPMeMb0zk\n",
       "3Z8VpZznzS0QSW2BG4BO6cqsqKhg+GXDKSsrZ8xDD7B2bSnDL7+CqqqqVpUbx5pDjkXV1h0AdBrW\n",
       "h6z+3dn50Wa2TfqwxebGbYzjlhvXmoU45LNHppxTzZtbM0l6TtLbkhZKGhlN2ybpQUnFwP8BvYDX\n",
       "Jb0mqY2ksZIWSJov6camPuaUyS9TWrqOa68fycjrrmHEVVdSsrSEoqmp/S8nbrlxrDnkWLTr05mu\n",
       "V55E9qDDyLmwAHVsx+5121tsbtzGOG65ca254Juncdjn+6WcU81/59Z83zKzjdFux1mSniGxlfZv\n",
       "M/shgKRvAcPMbIOkgUAvMzs5uq/Jn9CXLC0BoFfvXvtclpQsS+mJxC03ZHbccgHUdu//UXet3oZt\n",
       "30WHEw5usblxG+O45YbMDlkzAGn8DohvuTXfDdEW2kzgcOAYYDfwTB3zLwH6SvqlpAuALakWEOrL\n",
       "QHHLDZkdp9zd68vZMvFd2hyURc6FBS0+t1qcxjiOuSGzW/IXEn3LrRkkDQPOAz5jZhWSXgeygQqr\n",
       "Y22b2SZJpwAXAtcDlwGf+vrQPaNG77leePZQCocV7rld0DfxD8vKFSsBWL1qdWJ6QX5KzyduuSGz\n",
       "45Zbbde6crb8aRFq34Yu3ziRNrkdWmxu3MY4brkhs0O/jhuy+Z21bH63tFHz+k8BmkHSxcA1Znax\n",
       "pOOBOSSa1otm1jlpvvnAxWZWIulgYKeZbZF0EjDezAbUyK33pwCVlZX063scHTt14qZbbuS+e+8n\n",
       "OzubRYsXINX6bdhGiVtuHGtOJbehnwLs3lzJ5t/Px7bvotM5fWjTNRuArJMOaXa9qeQ29FOAljjG\n",
       "mZTbUmtu6KcAG+aupnzlZpY/OY9Ofbpx2PnH0OW47nTs2bnOZfynAOk3GWgn6R3gXhK7JgFq/k/h\n",
       "MWCypNeA3iS+XDIXGA/8T1MfNCsriwkTJ5Cbm8OtN99Gz549eGLi+JTfCHHLjWPNIceiamMFVrYT\n",
       "zCh/bTnbnn2fbc+932Jz4zbGccuNa82r//Eey5+cB4jyFZtY8oe32frB+mbn+ZZbC+I/4na18R9x\n",
       "u0zgP+J2zjnnUuTNzTnnXMbx5uaccy7jeHNzzjmXcby5Oeecyzje3JxzzmUcP0KJa1XOGntFkNyv\n",
       "DRgUJBfCfbX+F/N+ESQ3lJD13nDqDUFyQ9X81Ny3guT+a8SEILkAlRWVwbJr41tuzjnnMo43N+ec\n",
       "cxnHm5tzzrmM483NOedcxvHm5pxzLuN4c3POOZdxvLk555zLOBnX3CTlS1qQYkYvSU+lq6Z0mjF9\n",
       "JoMGDKZbTh5DBp9J8dziVpkbMvvd0VOZ+71JzP3OC7wz6p9sXrg25cwXHpjEPZ8bzf+efjtjb/xT\n",
       "GqrcK9Q4xK3muNULYWsO8TqG+LzvMq65pYOZrTazrx3oOmqqqKhg+GXDKSsrZ8xDD7B2bSnDL7+C\n",
       "qqqqVpUbOjv36DyO+P9O4bAv9mP76i0sn5CGN6/g1AtOTVxN/byOe4Qch9jVHLd6IVjNEOZ1HKf3\n",
       "XaY2t3aSJkh6R9JTkjpJKpGUByDpdEmvR9fPljQ3+psjKSd560/SCEnPSnpJ0vuS7q9+EEnnS5oh\n",
       "abakJyXlRNPvk7RI0jxJD0TTviZpgaRiSW8050lNmfwypaXruPb6kYy87hpGXHUlJUtLKJpalNJg\n",
       "xS03dHafy0+h6yk96XzcobRp14b2XbNTzrz41os46+tnppxTU8hxiFvNcasXwtUMYV7HcXrfZerh\n",
       "t/oB3zKzmZL+AHwHqOuU47cA34nm7QTUdoyYU4H+wA5gsaRfRvPdDpxnZtsl/Tdws6RfA182s+MA\n",
       "JHWJMu4Azjezj5OmNUnJ0hIAevXutc9lScmy5sTFNjd09q7yHcy7+R8AtOnQjj6Xn5xyJkCIk96H\n",
       "HAeIX81xqxfC1AxhXsdxet9lanNbYWYzo+sTgPoOHDcd+LmkJ4BnzWyVPr1/4DUz2wog6R0gHzgI\n",
       "OAGYEc3fAZgBbAYqoqb6YvRX/TjjJD0JPFtXMfeMGr3neuHZQykcVlhn4RboXRG33HRnt81uzzE3\n",
       "n0nFx1tZ+fQiPnr0LU766fmoTZr3GwUQcoxDiVvNcal3f7yO9/f7but769i6eH2j8jK1uSWPuIAq\n",
       "YBd7d8Pu2d41s/slvQh8AZgu6QI+vfWWfHs3e8ftFTMbXvPBJQ0GzgMuBb5HYuvu29H0LwCzJQ00\n",
       "sw01l/3RnbfX+aQK+hYAsHLFSgBWr1qdmF6QX+cyjRG33NDZaiO6HN+dLsd3Z+Pbq9j2wSfsLt9B\n",
       "u9yslLPTLeQ4hBK3muNWb7UQr+MD/b7rfNyhdD7u0D23P570Xp15mdrcjpD0GTP7NzAc+BfQGTgd\n",
       "mAxcUj2jpKPMbBGwSNIgErs05zeQb8C/gV9Hyy+JPm/rBawGcszsJUkzgCVJjzMLmCXp88DhwKea\n",
       "W30uuPB8unc/lN89+ntyc3MZ+/g48gvy6926y8TckNmbF65l49uryD0qjx0btlO2ZAMdDu6UcmN7\n",
       "b9p7rFmS+PbXpjWbeetvb1MwsIBD+hycUm7IMY5bzXGrN2TNoV7HcXrfZeIXSgxYDHw32oXYFXgE\n",
       "GAX8QtJbJLbiqrfuboi+6DGPxGdqLyXlVF9+atvbzNYDI4C/RMvOINEYOwOTomnTgJuiRR6QND/6\n",
       "osp0M2uogX5KVlYWEyZOIDc3h1tvvo2ePXvwxMTx1LIbNaNzQ2a3y+1A2dKNLP/LfEpfW0Ln47tz\n",
       "9Pc/m3K9ReOnMeXhl0Gw5oM1PDv6OZbNS/1zipBjHLea41ZvyJpDvY7j9L5TXPYftwaSbPuusgNd\n",
       "RkaL4/nc4nausbjVC/GrOY7ncwvx3pt9zXOYWa2dNRO33JxzzrVy3tycc85lHG9uzjnnMo43N+ec\n",
       "cxnHm5tzzrmM483NOedcxvGfArQgkuz8Z6480GU02vNfeuRAl9BkX3r+O0Fy4zgWcRNq3UG49Xfc\n",
       "gxcFyX3vh5OC5MZNx3Y5/lMA55xzrYc3N+eccxnHm5tzzrmM483NOedcxvHm5pxzLuN4c3POOZdx\n",
       "vLk1kaRTo/Ox7Xfv/eFNpn7rr7x86Tjm3PtaLLJnTJ/JoAGD6ZaTx5DBZ1I8t7hFZ4cc41BjEbcx\n",
       "DpUbx3W3c305ax6bw4qfTGP5nW+w9g9z2fnJ9rRkx2ndhcj15tZ0A4D/bMoCktJ0UljR86yCKDM9\n",
       "iSGzKyoqGH7ZcMrKyhnz0AOsXVvK8MuvoKqqqgVnhxnjUPXGcYx93e21e0slAN0+V0DuwMOo+HAj\n",
       "nzzzbsq5cVt3IXJj19wkfVPSPEnFksZJOlLSP6Npr0rqE803VtIjkmZKWiJpWDT/O5IeT8rbJukh\n",
       "SQuj5Q+Jpk+VNDC6foikpZLaAz8BLpc0V9LXJOVI+qOkNyXNkXRxtMwISS9Ieg14RVJPSUXRcgsk\n",
       "ndXU537c1YM58osnpGEU90/2lMkvU1q6jmuvH8nI665hxFVXUrK0hKKpRS02O9QYh6o3jmPs626v\n",
       "rCO70vPa0+j82cPJu/hY2nRsx87S8hZbc5xyY9XcJJ0I3A6cY2b9gRuBh4HHzexU4Angl0mLdDOz\n",
       "z5I4G/YLwAPAicDJkk6J5ukEvGVmJwFvAHdG0z91Bm4z2wncAUw0swFm9lRUz2tmdgZwLjBGUqdo\n",
       "kQHAJWZ2DvB1YLKZDQBOAdK376iFKllaAkCv3r32uSwpSf1MwyGzQwhVbxzH2NfdXmq795/gypVb\n",
       "qNq+i+yCbinnxm3dhchN0+6y/eZc4Ekz2wBgZhslfQb4cnT/BBINDBKNqfoYNQuBNWa2CEDSIiAf\n",
       "mA9UAX9NWv7ZBmpQ9FftfOAiST+MbmcBR0SP/4qZbYqmzwL+GG39/c3M5tUW/uFf9/a8vBN7kndS\n",
       "zwbKiY+Qh3qL22HkQtUbxzH2dQc7S8tYN24+7Q7KJu/iY9OeH7d1V1du0dQiit6Y1qiMuDU3Y9/G\n",
       "Uq2uPew7ossqoDJpehW1P3exd2ttF3u3bLMbqOurZvbBPkHSGUBZ9W0zmyZpKPBFYKykh8xsfM2g\n",
       "oy/v38BDxUdB38TnHytXrARg9arViekF+S06O4RQ9cZxjH3d7WvH2jLW/m4ubTq0ocfIAbTt3CHl\n",
       "zLitu8bmFg4rpHBY4Z7bo+++t87MuDW3fwLPRY1hg6Q8YAbwXyS2ur4ONHUnbRvgayS23oYD1f8t\n",
       "KAFOB94GLk2afwvQOen2FOAHwPcBJA0ws7nUaLiSjgBWmdnvJWWR2GX5qeZWn3WzV7Jt+UYAKtaX\n",
       "sfLVD8g7sQedDuvSlJj9ln3BhefTvfuh/O7R35Obm8vYx8eRX5C/z4uzpWWHGuNQ9cZxjH3d7bVr\n",
       "UwVrfzeHqvJddDmrL5XLt1C5fAs5p/ZokTXHKTdWn7mZ2TvAaOANScXAgySaylWS5pFobjckL1LH\n",
       "9WRlwGBJC4BhJL4wQpT9bUlzgIOTln8dOKH6CyXA3UB7SfMlLQRGJT1e8mMOA4qjvMuAXzTluQOU\n",
       "PL+ID56YAxJbl23knUdnsmnxuqbG7LfsrKwsJkycQG5uDrfefBs9e/bgiYnjURq+yhYqO9QYh6o3\n",
       "jmPs626vXZ9sp6psJ5ixacoS1k9cxPqJi1pszXHKbfWnvJG01cw6NzxneH7Km/D8lDfx5ae82ctP\n",
       "eZPgp7ypX+vu7s45l4FafXMzs9Q/sHLOOdeitPrm5pxzLvN4c3POOZdxvLk555zLON7cnHPOZZxW\n",
       "/1OAlkSSbd9V1vCMzrm06nrbmUFyNz8wPUhu3OoNxX8K4JxzrlXx5uaccy7jeHNzzjmXcby5Oeec\n",
       "yzje3JxzzmUcb27OOecyjje3mJkxfSaDBgymW04eQwafSfHc4oYXysDckNmeGz47brm7/rmSHb9d\n",
       "yI6Hitn5t4/Skgnxqxfis+68ucVIRUUFwy8bTllZOWMeeoC1a0sZfvkVVFVVtarcONYct9w41hxy\n",
       "LBC06dct9ZwkcasX4rXuWnVzk3SHpPckTZP0Z0m3SLpG0ixJxZKeltQxmnespEckzZS0RNIwSeMk\n",
       "vSPp8aTM8yXNkDRb0pOScqLp90laJGmepDHNqXfK5JcpLV3HtdePZOR11zDiqispWVpC0dSmnnw8\n",
       "3rlxrDluuXGsOeRYtDvncNoO7J5yTrK41QvxWnettrlJGgR8FTgF+DxwOolzuz1rZoPNrD/wLnB1\n",
       "tIgB3czss8BNwAvAA8CJwMmSTpV0CHA7cJ6ZDQRmAzdLygO+bGYnmtmpJM7e3WQlS0sA6NW71z6X\n",
       "JSXLmhMX29yQ2Z4bPjtuuXuk+WhOcasX4rXu2qVUUbydCfzNzHYAOyRNAkSiUd0DdAVygclJy1Sf\n",
       "/nYhsMbMFgFIWgTkA32AE4AZ0enROwAzgM1AhaQ/AC9GfykLdei0uOWGzPbc8Nlxyw0lbvVCy153\n",
       "rbm5GYlmVtPjwJfMbIGkK4FhSfftiC6rgMqk6VUkxnI38IqZDa8ZKmkwcB5wKfC96Pqn3DNq9J7r\n",
       "hWcPpXBY4Z7bBX0LAFi5YiUAq1etTkwvyK8tqtHilhsy23PDZ8ctN5S41QsHft0VTS2i6I1pjcps\n",
       "tQdOlnQ68CgwBGhPYhfiY8D/kNj62gT8A1hhZt+KPld70cyekZQPTDKzk6Osx0ls1RVFOeea2ZLo\n",
       "87ZewGogx8xKJXUFlpjZIbXUVO+BkysrK+nX9zg6durETbfcyH333k92djaLFi8g2lJslrjlxrHm\n",
       "uOXGseZUchs6EHHVR5ux9RXs/tfH6NBs2vQ/lDaH56KDsupdrr4DEcet3lRrDpHrB06uhZm9TeJz\n",
       "s/kkmtgCErsP7wDeBP5F4jO3fRar43p15npgBPAXSfNI7JLsB3QGJkXTppH4zK7JsrKymDBxArm5\n",
       "Odx682307NmDJyaOT/kfsbjlxrHmuOXGseaQY7H77XXs/tfHILB1Fex+dQVVH6d2Bo+41Ruy5hC5\n",
       "rXbLDUBSjpmVSeoEvAGMNLP0/Uio6fX4KW+cOwDidgqZuNUbSn1bbq35MzeAxySdAGQDYw9kY3PO\n",
       "OZc+rbq5mdnXD3QNzjnn0q/VfubmnHMuc3lzc845l3G8uTnnnMs43tycc85lnFb9U4CWxn8K4GrT\n",
       "8ZoBQXKPPO7wILnv/XBSwzM5lwb+I27nnHOtijc355xzGcebm3POuYzjzc0551zG8ebmnHMu43hz\n",
       "c845l3G8uQGS8iUtSEPOCEm/iq5/WdLxSfdNlTQw1ceYMX0mgwYMpltOHkMGn0nx3PQc6zluuSGz\n",
       "45bLlh0weQX85UN44kN4eSVs3dHwcg3Y8ML7rLhnGsv+95+Ujp2XhkL3itsYxy03ZHZccr25pVfy\n",
       "jwa/TOKkp7Xd1ywVFRUMv2w4ZWXljHnoAdauLWX45VdQVVXVqnLjWHPIsaB8V+JywCFwdBdYXQ7T\n",
       "16aeC+Sc2iNxJQ3nGKsWtzGOW24caw6R681tr7aSHpO0UNIUSdmSjpL0kqS3JRVJ6gcg6SJJ/5Y0\n",
       "R9IrkronB0n6LHARMCaap29019ckvSlpsaSzmlrglMkvU1q6jmuvH8nI665hxFVXUrK0hKKpRSk9\n",
       "8bjlxrHmkGNB945wYR84rhuc0R2y2sCm1Lfc8i4+li5n9Um9vhriNsZxy41jzSFyvbntdQzwsJmd\n",
       "BGwCLgEeBb5vZqcDtwKPRPNOM7PPmNlpwF+B26LpAjCzmSTO8v1DMzvNzD6K7m9rZmcANwJ3NrXA\n",
       "kqUlAPTq3Wufy5KSZU2NinVuyOy45QLQJmmran0FVFZBz46p50Ia9jd8WtzGOG65IbPjlNuqz+dW\n",
       "w1Izmx9dnw3kA0OAp5JOdd4huuwj6UmgZzTtI2pXc1/Os9HlnCg/JaEOnRa33JDZscrdtANeWwWd\n",
       "2ye24GIiVmMcw9yQ2S0515vbXpVJ13cDPYBNZlbbgf1+BTxoZi9KOhu4q47Mmmuo+jF2U8fY3zNq\n",
       "9J7rhWcPpXBY4Z7bBX0LAFi5YiUAq1etTkwvyK/j4Rsnbrkhs+OWu8emSpi8Etq1gQsOh44t960d\n",
       "tzGOW27I7AOdWzS1iKI3pjUq0w+cTOLbksAkMzs5un0LkAt8Dvh/Zva0EptvJ5vZfElzgGvMbI6k\n",
       "x4F8MztH0ghgoJl9X9IvgTlmNjbKfB24JVrmEOAtMyuoUUe9B06urKykX9/j6NipEzfdciP33Xs/\n",
       "2dnZLFq8AKXwgX/ccuNYcyq5DR44uWwnTFoOlbvhtEMgJ2psfbvUu1hDB04uf289O9eUsWnKEtr3\n",
       "zKXzkMPJLuhG+0M61btcQwdOboljnEm5cay5ubl+4OTGqdnlDbgCuFpSMbAQuDi67y4SuyvfBtYl\n",
       "LWtJ1ycCt0qanfSFkvoer0FZWVlMmDiB3Nwcbr35Nnr27METE8en/EaIW24caw45FmzZCRW7E9dn\n",
       "r4eiNTBtTeqxRcvZNGUJADvXbGPDs+9RuWxzyrlxG+O45cax5hC5vuXWgvgpb1xt/JQ3ztXOt9yc\n",
       "c861Kt7cnHPOZRxvbs455zKONzfnnHMZx5ubc865jOPNzTnnXMbxnwK0IJKsrq+1Ouec21d9/2b6\n",
       "lptzzrmM483NOedcxvHm5pxzLuN4c3POOZdxvLk555zLON7cnHPOZRxvbjVIype04EDXURdJZ0qa\n",
       "L6kiOp1OWg4ZH7fckNmeGz7bc8PmhsyOTa6Z+V/SH5APLDhAj20N3J8NrAGWANcDK6PrbVJ83Fjl\n",
       "xrHmuOXGsWbPjW/Nzc2t79/MlAYwE/+i5vYO8BiJE5ROiQa+P/BvYB7wLNAtmn8q8BDwFvAuMAh4\n",
       "DngfuDsp9wrgTWAu8NvaVlp9Kyq6/ytAFYkzegOMim6fm+JzjlVuHGuOW24ca/bc+Nbc3Nz6/s30\n",
       "3ZK1OwZ42MxOAjYBlwDjgFvN7FRgAXBnNK8BlWY2CPgN8DyJ/3mcBIyQdJCk44HLgCFmNoDESvt6\n",
       "M+oqiC5X1bgsqGXeTM4Nme254bM9N2xuyOzY5LZLqZzMtdTM5kfXZwNHkdhSmxZNGwc8lTT/C9Hl\n",
       "QmChma0FkPQRcAQwFBgIvB2dNr0jiU3wVIU6VFfcckNme274bM8Nmxsyu8XmenOrXWXS9d1Atxr3\n",
       "1xz46vmraixbxd4xHmdm/9fQA0u6K+nmVDObmnT7o+iyT3TZu8b05opbbshszw2f7blhc0NmH9Bc\n",
       "ScOAYY1KTHXfbqb9UeMLJcAtJHZBzgXOiqbdBfwsuv46cFp0fRgwKWnZ14HTgONJfAZ3aDQ9Dzii\n",
       "KfuPo/uzSGzxfQR8m8Sm+xKiA2Cn8JxjlRvHmuOWG8eaPTe+NTc3t75/M1MawEz8I9Hc5ifdvgX4\n",
       "MXAqMJO9XyjpGt2f3NzOBl5IWjb5vstINMh5wNvA4KasqKR5hgLzSWwhzq7OT8PzjlVuHGuOW24c\n",
       "a/bc+NbcnNz6/s30U960IH7KG+ecazw/5Y1zzrlWxZubc865jOPNzTnnXMbx5uaccy7jeHNzzjmX\n",
       "cby5Oeecyzje3JxzzmUcP/xWC1Oxu9x/eOhcLTpeeGyw7O2T3w+W7Q4M33JzzjmXcby5Oeecyzje\n",
       "3JxzzmUcb27OOecyjjc355xzGcebm3POuYwTrLlJype0oJbpAyX9oo5lSiTlhaqpxmONlXRJLdOv\n",
       "lHTY/qihOWZMn8mgAYPplpPHkMFnUjy3uFXmhsz23PDZQXIXb4Kij+HVVVD8Sep5SWI1DoGz45K7\n",
       "37fczGy2md1Q1937s5Q6Hm8E0Gs/1tFoFRUVDL9sOGVl5Yx56AHWri1l+OVXUFVV1apy41hz3HLj\n",
       "WjM9OqaeUUMcxyFuNYfI3S/NTVJfSXOirbZhkiZF0w+W9LKkhZJ+ByianiPp75KKJS2QdFktmSMl\n",
       "zYrmeVpSx2j6WEm/kDRd0pLqrTMlPCzpPUmvAN2rHy8p81LgdOCJqN7sqOapkt6WNFlSz2jeoyS9\n",
       "FE0vktSvgcc/LJpvbvSczmrqOE6Z/DKlpeu49vqRjLzuGkZcdSUlS0somlrU1KhY58ax5rjlxrLm\n",
       "ft3giNzUMmoRu3GIYc0hcoM3t+gf/aeBK81sdo277wSKzOwk4DngiGj6hcAqM+tvZicDk2uJfsbM\n",
       "BptZf+Bd4Oqk+3qa2ZnAF4H7omlfAY4Fjge+CQyhxpabmT0NvA0MN7PTgN3Ar4BLzOx04HFgdDT7\n",
       "Y8D3o+m3Ao808PjDgclmNgA4BWjyNnfJ0hIAevXutc9lScmypkbFOjdktueGzw5ZcwhxHIe41Rwi\n",
       "t87Db0n6VT3LmZn9oBH53YG/AV8xs/dquX8oiaaDmf1D0sZo+nzgQUn3AS+a2b9qWfZkSfcAXYFc\n",
       "9jZAix4TM3tXUo9oeiHwZzMz4GNJ/6yn7uotun7AicCrkgDaAqsl5ZBojk9F0wE6NPD4s4A/SmoP\n",
       "/M3M5tX2wPeMGr3neuHZQykcVlhnkYmnkn5xyw2Z7bnhs0PWHEIcxyFuNdeVWzS1iKI3pjUqo75j\n",
       "S85m75ZN9b/gFl1v7DPaBCwj0cRqa27J2XuY2QeSBgBfAO6R9JqZ3V1jtrHAxWa2QNKVwLCk+3bU\n",
       "km/U8lh1SH7ei8xsyD4FS12AjdFWWG0+9fhmNk3SUBJbc2MlPWRm42su+KM7b6+zqIK+BQCsXLES\n",
       "gNWrViemF+TX/2waELfckNmeGz47ZM0hxHEc4lZzY3MLhxXu8x/+0XffW2emGtt5JeWYWVlji5WU\n",
       "D0wCzgCmAI+Y2V8kDQNuMbOLom9NlprZaEmfB/4OHAJkkWgeFZK+CFxtZl+pkb8OOIFEA/0HsMLM\n",
       "viXpcRJbe89E8201s86SvgJcB/wn0ANYBFxjZs/WyH0BeMjMpkrqEM33DTP7d7TVdYyZvSNpOvBz\n",
       "M3taic23k81sfj2PfwSJXa27JX0XOMrMbq7x2LZ9V91DXFlZSb++x9GxUyduuuVG7rv3frKzs1m0\n",
       "eAFJW5BNFrfcONYct9yWWHODB05eXwHbdsKHWyC3PfTJgYOyoFPDx4ev78DJLW0cDmR2S8vt2C4H\n",
       "M6t1hgY/c5M0RNI7RFtekvpLeqSBxaqZmZWT2Fq5KWpUyd9SHAUUSlpIYvdk9Q7Wk4E3Jc0F7gBq\n",
       "brURTX8T+BeJz9z2edya183sOeAD4B1gHDCjjprHAr+VNIfE+FwK3C+pGJgLfDaa7+vA1dH0hcDF\n",
       "9T0+cA5QHOVeBtT6c4j6ZGVlMWHiBHJzc7j15tvo2bMHT0wcn/IbIW65caw5brmxrHnZ1kRjg0ST\n",
       "e3cTbNpR/zIHsF5fd2FzG9xykzSLxD/wz1fvhpO0yMxObPajulo1tOXmXGvmp7xxNaW05QZgZstr\n",
       "TNqVclXOOedcII05WelySWcCRJ9B/YBP7wZ0zjnnWozGbLl9G/gu0BtYBQyIbjvnnHMtUoNbbma2\n",
       "jsQPkJ2v4LEeAAAgAElEQVRzzrlYaMy3JY+SNEnSeknrJD0vqe/+KM4555xrjsbslvwz8CRwGIkD\n",
       "Cj8F/CVkUc4551wqGvNTgPlmdkqNafPM7NSglbVCoX4K8I3JN6U9M7TxF/78QJfgWpiQr+NXZ9Z6\n",
       "NLyUfTyqvqP8tTwhxzjEe7q+nwLUd2zJPBKHjnpJ0v+yd2vtcuCltFfpnHPOpUl9XyiZw75H2rg2\n",
       "uqw+tuT/hCrKOeecS0Wdzc3M8vdjHc4551zaNOZH3Eg6icRBirOrp5nZn0IV5ZxzzqWiweYm6S7g\n",
       "bBLnNfs78HkSByv25uacc65FasxPAS4F/gP42MyuAk4FugWtyjnnnEtBY5rbdjPbDeyS1BUoBfqE\n",
       "LcvVZcb0mQwaMJhuOXkMGXwmxXOL05Jb/Oh0Jl0xnqcveozpoyY3vMABzoVwY+G54bND5IZ8rW19\n",
       "fCGbxrzFpgfeYuvvF7Bzyaa05MZt3cXp/dyY5vaWpIOA3wFvkzinWV3nQnMBVVRUMPyy4ZSVlTPm\n",
       "oQdYu7aU4ZdfQVVVVRrSRZ/Co6qvplGY3FBj4blxrjnUaxjaHd6ZThfkk31Wb3av2872l0pSzozj\n",
       "uovT+7nB5mZm3zGzjWb2W+B84Mpo92RGk5Qv6V1Jj0laKGmKpOzocGQvSXpbUpGkfpLaSvooWq6b\n",
       "pN2SzopuF0XLnC1pbvQ3R1JuU2uaMvllSkvXce31Ixl53TWMuOpKSpaWUDS1KOXn2/+6IRzz5ZNT\n",
       "ztlfuaHGwnPjW3Oo1xpAx88dSbuju9HuyC7QVqhz+5Qz47ju4vR+ru9H3APZ93duyfedZmZzmv2o\n",
       "8XE0cLmZXSvpr8AlwFXA9Wb2oaQzgEfM7DxJiyWdAPQFZpM4w/hbwOFmtkTSz4HvmNlMSZ2AyqYW\n",
       "U7K0BIBevXvtc1lSsqyuRZqm/oPVtKjcUGPhueGzg76OA72Gqyp2seXn0T95HdrQ8T+OTDkzjusO\n",
       "iM37ub5vS/6M+p/GOc1+1PhYambzo+uzgXxgCPBU0unPO0SX04BCoAD4KTASeAN4K7p/OvBzSU8A\n",
       "z5rZqtoe8J5Ro/dcLzx7KIXDCussrqFDp7UmocbCc8Nnx+F1rA5tyRl+HFXrt7P9nysoe+4Duny3\n",
       "P0n/DqQsjusulLrqLZpaRNEb0xqVUd+PuIc1q6rMkrx1tRvoAWwyswG1zFsEfIfEAaZ/DNwKDIum\n",
       "Y2b3S3oR+AIwXdIFZra4ZsiP7ry9zmIK+hYAsHLFSgBWr1qdmF6Q3/hnlCFCjYXnhs+O4+tYbUT7\n",
       "gq5Q0JUd721g9/Kt2PZdqFPzd0/Gcd2F0th6C4cV7vMf/tF331tnZqN+xO322AJ8JOlSM3taif+2\n",
       "nWJm84BZwATgQzOrlDQPuI5EM0PSUWa2CFgkaRDQD/hUc6vPBReeT/fuh/K7R39Pbm4uYx8fR35B\n",
       "fr1bd4318VvL2bxsAwDl68pY+vJ7HHrSYeT26toic0ONhefGt+ZQr7WdSzax890NtD08l6otO9i9\n",
       "chttumXRJoXGBvFcd3F6Pzfm25KtWc1tYwOuAK6WVAwsBC4CMLMdwHLg39G8RUCumS2Ibt8gaUHU\n",
       "9HbQjINPZ2VlMWHiBHJzc7j15tvo2bMHT0wcn5ZdI+8/O4+F42aBxOaST5j98DQ+eXdti80NNRae\n",
       "G9+aQ73W1LEdu1ZvY/uUZex4aw3t8ruQc9mxKefGcd3F6f3c4Clv3P7jp7zZy09542ryU96El0mn\n",
       "vGnMmbjbSPqGpB9Ht4+QNDjdRTrnnHPp0pjdko8AnwWGR7e3RdOcc865FqkxXyg5w8wGSJoLYGYb\n",
       "JKX+C0bnnHMukMZsue2Q1Lb6hqRDgXQc78k555wLojHN7VfAc0B3SfeS+DHyT4NW5ZxzzqWgwd2S\n",
       "ZjZB0mzgvGjSl8zs3bBlOeecc83XmJOVHgGUAZOiSSbpCDNbHrQylzahvlb/w2k/CpIbUhxrfnDo\n",
       "PQe6hBYh5M9DCku/GSw7hFCv45BjfNyDFwXLrk1jvlDyD/b+mDmbxLETF5M4M7dzzjnX4jRmt+RJ\n",
       "ybclnQZ8N1hFzjnnXIqafPit6FQ3ZwSoxTnnnEuLxnzmdkvSzTbAaUCtp2txzjnnWoLGfOaWfMbo\n",
       "XcCLwDNhynHOOedSV29zi3683cXMbqlvPuecc64lqfMzN0ntzGw3cKbSebrZDCDpbEmfTbp9naRv\n",
       "7I/HnjF9JoMGDKZbTh5DBp9J8dziFp1b9MvX+eNXH+XX5/6cv//f39KSWS1EzaHqjds4hM6OW27F\n",
       "2q2890ARc38widnfeZ7FP5tGRem2lHP9fbfXx79+m+V3vsHyO6ay+hez2L74k5Ty6vtCyazoshh4\n",
       "PjozwCXR31dTetQ0U6SZy7ZteK5POQcYUn3DzB41s/HNefymqKioYPhlwykrK2fMQw+wdm0pwy+/\n",
       "gqqq1I6GFioXQIJjzu2390aahKo5VL1xG4eQ2XHLBdixqQKA3l8+gUPOOpIt75RSMnZOi603jq+3\n",
       "rCO7knfxsXQ9L5+da8v45G9NOpfzp9TX3KpHJBv4BDgX+GL0t39/jVcLSfmSFksaBywA7pA0S9I8\n",
       "SXclzffNaFpxNC+Sxkr6raR/A/dLOkrSS5LellQkqV8030WS/i1pjqRXJHWXlE/iDNs3SZor6SxJ\n",
       "d1V/8UZS/2iZeZKeldQtmj5V0n2S3ozqPqupz3nK5JcpLV3HtdePZOR11zDiqispWVpC0dSilMYy\n",
       "VC7A0O+fw6mXnpZyTk2hag5Vb9zGIWR23HIBco86mONuK6T7uUdx5PD+tO3Uge2rt7TYeuP4esv7\n",
       "4jF0PO5gso/KQ+3a0K5LVkp59X3mdqikm0k0jpbqaOAbQFfgUjMbLKkNiS3NocAG4Hbgs9HZDLpF\n",
       "yxnQK5pukl4DrjOzDyWdQeKUPucB08zsMwCSrgFuM7MfSvotsNXMHoruO4+9P3T/E/BdM5smaRRw\n",
       "J3BTdH9bMztD0uej6Z9rypMtWVoCQK/evfa5LClZ1pSY/Za7V/pPiBu25lAn8I3XOMTt9RZyLNq0\n",
       "27sdULZ0I7vLd3DQwN4pZfr7bl9V23ey8p5/AaD2bTnoC0enlFdfc2sLdE4pPbxlZjZL0oPA+dWn\n",
       "5QFySDS+HOBJM9sAYGabkpZ9KmpsuSTOV/dU0p7NDtFlH0lPAj2jaR8lLf+pbX1JXYCuZjYtmjQO\n",
       "eCpplmejyzlAflOfbE2hzqIex7Ozx7HmEEKOQ9xebyFyt3+8hQ9+OYOsQ3I48uv905odx9dwOmtW\n",
       "Vju6X92fnaXlbHrpQ9b9eRG9b/ssatO83ar1Nbc1ZjaqeWXuN2VJ139qZo8l3ynpe9TShCLl0WUb\n",
       "YJOZDahlnl8BD5rZi5LOBu5qYn01H7syutxNHWN/z6jRe64Xnj2UwmGFe24X9C0AYOWKlQCsXrU6\n",
       "Mb0gv4ll7StUbkhxrDmEkOMQt9db6NfE9lVbeG9MEW07tKXfrUNp3zU7pbw4voZD1qw2ouPReXQ8\n",
       "Oo/yBaVUlmyiavsu2ubsPX1oxZKNVHy0sVF5jfmdWxxMAe6W9ISZlUnqDewA/gk8J+mhaLfkQWa2\n",
       "z8iY2RZJSyVdamZPR19MOdnM5gNdgNXRrCOSFtsa3ZdMUdZGSWeZ2b9I7DKd2pQn8qM7b6/zvgsu\n",
       "PJ/u3Q/ld4/+ntzcXMY+Po78gvx9GmBzhMoFKJn5ERtKEt962rp2K+/8fSG9+h9Ot97dGljywNQc\n",
       "qt64jUPI7LjlAlRuKOe9MUXsLttBz/NPZNuSDWxbsoGDz+jTIuuN2+tt+/ufUDa/lKwju7J7UwWV\n",
       "yzfT7qDsfRobQPZRB5F91EF7bm9+raTOzPq+UPIfKVW7fxiAmb0C/BmYKWk+8CSQa2bvAKOBNyQV\n",
       "Az+ruWzk68DV0TwLgYuj6XeR2F35NrAuaZlJwFeiL5qcVSPvSmCMpHnAKcBP6qu9KbKyspgwcQK5\n",
       "uTncevNt9OzZgycmjifVX2qEygUofnI2M3/3LyTxyUfrmPrQq6xZuLrhBQ9QzaHqjds4hMyOWy5A\n",
       "ZWkZu7ZWYlXGymcW8tFjs/josVkNL3iA6o3b661Np/bsWLGFjS+8z9YZK8k+6iAOvfKUlDIVx/28\n",
       "mUqSbd9V1vCMLUTI08eEOs2Ln/LG1abwT2FOeVP0zT8FyQ31Og75Wgtxyptl//NPzKzWztrkAyc7\n",
       "55xzLZ03N+eccxnHm5tzzrmM483NOedcxvHm5pxzLuN4c3POOZdx/KcALYgkO/+ZK9Oe+/yXHkl7\n",
       "JsCXnv9OkFwIV7Nz+1PI94iDly8Z5z8FcM4513p4c3POOZdxvLk555zLON7cnHPOZRxvbs455zKO\n",
       "NzfnnHMZp9U0N0k/kPSOpPEHupbmeu8PbzL1W3/l5UvHMefe19KaPWP6TAYNGEy3nDyGDD6T4rnF\n",
       "acmNY82eGz7bcxNCvT/ilhsiO6OamyJ13P1t4D/M7BuNzGqBJ3IVPc9KnAk3Dad82qOiooLhlw2n\n",
       "rKycMQ89wNq1pQy//AqqqqrSkB6vmj03vjXHLTchzPsjfrnpz459c5OUL2mxpHHAAuAOSbMkzZN0\n",
       "VzTPb4G+wGRJN0rqJOmPkt6MTjh6cTTfCEkvSHoNeKWB+Z6V9JKk9yXdn1TPhZJmSyqW9Go0Lae2\n",
       "nKY67urBHPnFE1IZrlpNmfwypaXruPb6kYy87hpGXHUlJUtLKJpalHJ23Gr23PjWHLdcCPf+iFtu\n",
       "iOwWuHXSLEcD3wC6Apea2WBJbYAXJA01s+slXQAMM7MNku4FXjOzb0nqBrxZ3YiAAcDJZrapgflO\n",
       "BfoDO4DFkn4ZXX8MGGpmy6JlAG6vLcfMyoOPTCOULC0BoFfvXvtclpQsO1AlNShUzZ4bPttz3f6Q\n",
       "Kc1tmZnNkvQgcL6kudH0HBKNb1qN+c8HLpL0w+h2FnAEYMArZrapEfO9ZmZbASS9A+QDeUCRmS0D\n",
       "aCCnD7A45WceQBwPyRaqZs8Nn+25LoRMaW5lSdd/amaPNWKZr5rZB8kTJJ1RI6u++SqTJu0mMZb1\n",
       "veo/lVObD/+694PqvBN7kndSz4YWSVlB38R+7pUrVgKwetXqxPSC/OCP3Vyhavbc8Nme65prw8I1\n",
       "bFi0plHzZkpzqzYFuFvSE2ZWJqk3sMPM1tUy3w+A7wNIGmBmc4GaH2M2dj5INLZ/A49IyjezEkl5\n",
       "ZrahnpxPOfry/nU+uXWzV7Jt+UYAKtaXsfLVD8g7sQedDutS5zKNccGF59O9+6H87tHfk5uby9jH\n",
       "x5FfkE/hsMKUcuNYs+fGt+a45UK490fcchubnXfSvv/h/+jJeXXmxf4LJREDMLNXgD8DMyXNB54C\n",
       "cpPnidwNtJc0X9JCYFTSPM2Zj+jx1wPXAs9KKgb+0kBOk5Q8v4gPnpgDEluXbeSdR2eyaXHNvt10\n",
       "WVlZTJg4gdzcHG69+TZ69uzBExPHU/cXTzO3Zs+Nb81xy4Vw74+45YbI9lPetCB+ypu9/JQ3LhP4\n",
       "KW/C8lPeOOeca1W8uTnnnMs43tycc85lHG9uzjnnMo43N+eccxnHm5tzzrmM483NOedcxvHfubUg\n",
       "kmz7rppH/3IuXjpeeGyQ3O2T3w+S6+KrY7sc/52bc8651sObm3POuYzjzc0551zG8ebmnHMu43hz\n",
       "c845l3G8uTnnnMs43twaIGmUpPPSnDlM0qTmLDtj+kwGDRhMt5w8hgw+k+K5xQ0vlIG5IbM9N3D2\n",
       "4k1Q9DG8ugqKP0k9L0ncxjh26y5Gua2quSnSlGXM7E4zey1UTU1RUVHB8MuGU1ZWzpiHHmDt2lKG\n",
       "X34FVVVVrSo3jjXHLTd0Nj06pp5RQ9zGOI7rLk65Gd/cJOVLWixpHLAAuEPSLEnzJN2VNN8dkt6T\n",
       "NE3SnyXdEk0fK+mS6Pp5kuZEZ9T+g6QO0fQSSXdJmh3d1y+aPljSjGiZ6ZJS+nXrlMkvU1q6jmuv\n",
       "H8nI665hxFVXUrK0hKKpRanExi43jjXHLTdodr9ucERuyvXVFLcxjuO6i1Nuxje3yNHAr4GbgN5m\n",
       "NhgYAAyUNFTSIOCrwCnA54HTgepDtxhgkrKBx4HLzOwUoB3w7aR51pnZQOA3wA+j6e8CQ83sNOBO\n",
       "4N5UnkTJ0hIAevXutc9lScmyVGJjlxsy23P3T3YIcRvjOK67OOW2S6mi+FhmZrMkPQicL2luND0H\n",
       "OAboDPzNzHYAO2r5PExAP2CpmX0YTRsHfBf4RXT72ehyDolGCdAN+JOko0k0wPYNFXrPqNF7rhee\n",
       "PZTCYYV1zhvq0Glxyw2Z7bn7JzuEuI1xHNfd/s4tmlpE0RvTGpXRWppb8gEbf2pmjyXfKekGEg1s\n",
       "z6RaMmqOtmpMq4wud7N3XO8GXjOzr0g6EpjaUKE/uvP2Ou8r6FsAwMoVKwFYvWp1YnpBfkOx9Ypb\n",
       "bshsz90/2SHEbYzjuO4OdG7hsMJ9/sM/+u66d4Zl/IGTJeUDk8zsZEmfI9FwzjOzMkm9gR3AkcCj\n",
       "wBASW1ezgUfN7CFJjwOTgL8D7wPnmtkSSWOB2Wb2K0lLgYFmtkHS6cAYMztH0rPABDN7Nvp870oz\n",
       "K5A0DLjFzC6qUWu9B06urKykX9/j6NipEzfdciP33Xs/2dnZLFq8gCZ+TybWuXGsOW65qWQ3eODk\n",
       "9RWwbSd8uAVy20OfHDgoCzrV/3/thg6cHLcxbonrLm65fuDkaAvLzF4B/gzMlDQfeBLINbO3gReA\n",
       "+cA/SHzxZPM+AWaVwFXAU9Gyu4DfJucnXa++/QDwU0lzgLa1zNckWVlZTJg4gdzcHG69+TZ69uzB\n",
       "ExPHp/xGiFtuHGuOW27Q7GVbE40NEk3u3U2waUeLrTduuXGsOURuxm+5NZaknGhrrhPwBjDSzNL3\n",
       "o5PG1eCnvHGx56e8cftLfVtureUzt8Z4TNIJQDYwdn83Nuecc+njzS1iZl8/0DU455xLj9bymZtz\n",
       "zrlWxJubc865jOPNzTnnXMbx5uaccy7j+E8BWpBQPwUY+JvL0p4JsGnT1iC5AEv+96Vg2S6eLnzm\n",
       "2gNdQpNNvuSxhmdyzeY/4nbOOdeqeHNzzjmXcby5Oeecyzje3JxzzmUcb27OOecyjjc355xzGceb\n",
       "Ww2SBkr6RcNzHhgzps9k0IDBdMvJY8jgMymem57jO3/04HTeu3UK794ymY/un8a2d0rTkgtgO6tY\n",
       "+//eYvWPi9j84ocNL9BIocbCc8Nnh8gt/3gLxaNeZfo1T/OvEX9l/ujX2L42PT9XCZXt6y5crje3\n",
       "GsxstpndcKDrqE1FRQXDLxtOWVk5Yx56gLVrSxl++RVUVVWlnN2p70H0vPREDr3gaCpWb+Xjvy5M\n",
       "Q8UJW6cuo2prdKLy1E9VBYQbC8+Nb807Nm4HIP9rp9Bz2FFsXLCG9x99M6XMkNm+7sLmtprmJilH\n",
       "0t8lFUtaIOkySYMkzYimvSkpV9IwSZOSlvljdN8cSRdH00dIelbSS5Lel3R/0uNcKGl2lPlqfTlN\n",
       "NWXyy5SWruPa60cy8rprGHHVlZQsLaFoalHK49PzqyeQe2J3co49BLVrQ7uu2SlnAuxcs42ymavo\n",
       "fG5+WvKqhRoLz41vzV2OPZT+d/4HvS84lqNHnE67nA6Urdzc8IIHKNvXXdjc1nTKmwuBVWb2BQBJ\n",
       "XYC5wGVmNltSLrC9xjK3A6+Z2bckdQPerG5YwKlAf2AHsFjSL6PrjwFDzWxZtEydOWZW3pQnULK0\n",
       "BIBevXvtc1lSsqwpMbXaXb6T9//vFQDadGhLj68en3KmVRmb/vYBnc7oRfteuSnnJQs1Fp4bPjtU\n",
       "bpt2e/+vvnXJJ+wq28GhZxyRUmbIbF93YXNbU3ObDzwo6T7gRWAz8LGZzQYws21AzdOanw9cJOmH\n",
       "0e0s4AjASDSrrdEy7wD5QB5QZGbLosxN9eT0ARbXLPKeUaP3XC88eyiFwwrrfELpPHRam+x2HPHd\n",
       "M9ixZhtrn3+XVY/P5eg7z0Ftmr8fsXzuGnZvqqDTqceyc+02AKq272J32U7a5rRPV+lAesfCc/dv\n",
       "drpzy1dtZuGYN8junsvRV50em2xfdw3nFk0touiNaY3KaDXNzcw+kDQA+AJwD/B6Ixf9qpl9kDxB\n",
       "0hlAZdKk3STGsr41/amc2vzoztvrvK+gbwEAK1esBGD1qtWJ6QX5DcU2SG1Ebr9DoN8hbCn+mPIl\n",
       "G9i9fSftcjo0O7Nq8w6qyney7pHZe6Ztn1+K2reh25eOTaneUGPhueGzQ9ZctnIz837yKm2z2nHq\n",
       "HefRoVvHlDNDZfu6a3pu4bDCff7DP/rue+vMbDUHTpZ0GLDRzCokfRH4NtAP+C8ze1tSZ6AcGArc\n",
       "YmYXSRoNdDGz70cZA8xsrqQRwMCk6ZOAMcA7wByg0MxKJOWZ2Ya6cmqpsd4DJ1dWVtKv73F07NSJ\n",
       "m265kfvuvZ/s7GwWLV5Qc4tzHw0dOHnbu+vYMmc1HfsexM6NFax/+UPad8vmmLvOrXe5hg6cvLO0\n",
       "nF3rEnted5WWsfX1ZWQdk0eX8/Ib3E3Z0IGTmzsWDfHclltzQwdOrlhfxpz/m8yubZXkX34q2Yfk\n",
       "AND9zPxm15pqdn0HTm5N6y5Urh84OeFkEp91zQXuiP7+C/iVpGJgCpBNYuuruuPfDbSXNF/SQmBU\n",
       "ND15nj3MbD1wLfBslPmXBnKaJCsriwkTJ5Cbm8OtN99Gz549eGLi+JTfCG1z2rN92WbWPLWIDW+U\n",
       "kHPsIfS5blBKmQDtu3ei44mH0PHEQ+iQ3xWAdnnZafn8LdRYeG58a65Yu42dWyqwKlj6l2Le/dV0\n",
       "3v3VjJQyQ2b7ugub22q23OLAT3mzl5/yxtXkp7xxNfmWm3POuVbFm5tzzrmM483NOedcxvHm5pxz\n",
       "LuN4c3POOZdxvLk555zLOK3mCCVx0fGGwWnP3P6LWWnPjKv+D18SJLf4e88EyXV7hfxa/Tcm3xQs\n",
       "2x0YvuXmnHMu43hzc845l3G8uTnnnMs43tycc85lHG9uzjnnMo43N+eccxkn45ubpBJJeYEf4++S\n",
       "uoR8jH3sqoInPoBfL4Kij9MSOWP6TAYNGEy3nDyGDD6T4rnFLTo3VPaOdWUsf3gWH97+Gh/89yus\n",
       "+M1b7FhfnoZqfYzjnFv86HQmXTGepy96jOmjJqclE3zdhczN+OZG4rxrqZ8gqb4HMPuCmW0J+Rj7\n",
       "eGsdbNuVtriKigqGXzacsrJyxjz0AGvXljL88iuoqqpqkbkhs3dtTpxg/eDPH0OXMw6n/P1PWPvX\n",
       "hS223jiOcdxyE0SfwqOqr6aFr7uwuRnV3CTlRFtRxZIWSKo+kdn3Jc2OThbaL5o3T9LfJM2TNFPS\n",
       "ydH0uySNlzRD0vuSrommD5NUJOlFSe9J+o2iM+lVbx1Kypf0rqTHJC2UNEVSdjTPoOjx50oaI2lB\n",
       "s57k+gqY/wkMPjTV4dpjyuSXKS1dx7XXj2Tkddcw4qorKVlaQtHUohaZGzK7Y0E3jvjeYA466wh6\n",
       "fPV42nRsT+WabS223jiOcdxyAfpfN4RjvnxyyjnJfN2Fzc2o5gZcCKwys/5mdjJQvf9gnZkNBH4D\n",
       "/DCaNgqYbWanAv8H/Ckp5yTgHOCzwI8lHRZNHwR8DzgBOAr4ajQ9+YyvRwMPm9lJwCag+pAYjwMj\n",
       "zWwAsItazuTdIDN4fTWcnAfdOzZ58bqULC0BoFfvXvtclpQsa5G5IbPVdu9bomL5Zqq276TTUanv\n",
       "1fYxjm/uHmk+r7Ovu7C5mdbc5gOfk3SfpLOSdhU+G13OAfKj62cC4wHM7HXgYEmdSbyEnzezSjP7\n",
       "BHgdGBxNn2VmJWZWBfwFOKuWGpaa2fzo+mwgX1JXINfM3oym/5nm7Nx4dxNs3QH9usG2nYlpO3bD\n",
       "9vTtogQIdXb2kGd9T3d25dptrPz9HNrndaT7JcenNRt8jOOcG4qvu/TmZtSxJc3sA0kDgC8A90j6\n",
       "Z3RXZXS5m32fc2MbTPWO3+QRV9L0ZJVJ13cDtW1i1f24s0r3Xu+dk/irtm0nbN8NE5fsnbZ4M7Rt\n",
       "A+f0qjOyIQV9CwBYuWIlAKtXrU5ML8hvdmbI3NDZlWu2seLXs2jToS19vjuYdp2zUs70MY5vbii+\n",
       "7pqeWzS1iKI3pjUqU3H73019ot2HG82sQtIXgGuA/sBAM9sg6XRgjJmdI+kXJHZX3iNpGPAzMxso\n",
       "6S7gS8BngFwSW3tnAMcB/yCxS3I58BLwWzN7TtJSYCDQBZgU7RJF0i0ktthGRZ+xXW1msyTdC1xU\n",
       "PV9S/cZ3T6z7CW6ohI1R79xQAbPWwZG5cEZ3OLTu3ZQNHTi5srKSfn2Po2OnTtx0y43cd+/9ZGdn\n",
       "s2jxAqKPFZslVG4q2Q0dOHnnxu0s+9lMdpfv5JD/PIb2eYlx7XLaYfUu19CBk1vTGMcxt6EDJ3/8\n",
       "1nI2L9vAwnGz6Jp/MEdfdCKHnnQYub261rvc+At/HqTehrTEMQ6R27FdDmZW6wyZtlvyZOBNSXOB\n",
       "HwP3sO/WliXdvgsYKGkecC9wZdI880nsjpwJ/MTM1kT3vQU8DLwDLDGz55KWoZbrybevBn4X1dYJ\n",
       "2NzkZ5eXBUd1Sfz1irbounSot7E1RlZWFhMmTiA3N4dbb76Nnj178MTE8Sm/wULlhszeub6c3WU7\n",
       "wIz1f3+fj8fP4+Px81psvXEc47jlArz/7DwWjpsFEptLPmH2w9P45N21LbbeuI1xiNyM2nJLB0l3\n",
       "AtvM7Gc1pg8DbjGzi5qZm2NmZdH1/wF6mNlNNeapf8utmfyUN3v5KW9cbUKd8qa+LTeXuvq23DLq\n",
       "M7c0qq3jWx3TG+sLkv6XxJiXACNSyHLOOVcPb241mNmoOqa/AbyRQu6TwJPNXd4551zjZdpnbs45\n",
       "55w3N+ecc5nHm5tzzrmM483NOedcxvHm5pxzLuP4tyVbmJ7dg556Lja+/c//DpLrv0cLL9S6Cym3\n",
       "Q4cguaHG4jfn3h8kN5P4lptzzrmM483NOedcxvHm5pxzLuN4c3POOZdxvLk555zLON7cmkjSwOhc\n",
       "cM8wUXYAACAASURBVPXNc6qkz4d4/E8eK2btvTNYe8901v9mDpUfbEhL7ozpMxk0YDDdcvIYMvhM\n",
       "iucWt+jcN39dxMTL/sDYCx7m1TteTEtmtbiNRajcUNmh1l3I10Qca47b6y3dud7cmsjMZpvZDQ3M\n",
       "NgD4zxCP3/6ILnT5z6PIOfsIdpWWs+XFD1POrKio4P9v78zD5Kqq9f1+YQiEJIR5EkkAiYDADXMw\n",
       "xCCCQYZ7UUgUBJlBfwLOD17lyigIwnW6ijJGBkEQVEQmmRJmyEAGBhETlHkwgRAIEvL9/ti70tVN\n",
       "p9Opcw7d1b3e5+mnq3ZVfbV79zlnnb322msdMOYA5s17k7PPPYsXX3yJA8Z+noUL2ys03vW6AAiG\n",
       "7LJJeli8/NUimm0sqhzjyrQr+t9VpluldhzHlen2OuMmaSVJN0iaImmapDGSdpU0SdJUSRdKWj6/\n",
       "dztJ9+T3PiCpv6RRkq6v07oovzZJ0j6SlgNOAcbmtjGS/ipp9fyZPpKelLRaI/0fOHpD+n5oVZYf\n",
       "MggtK/oM6Ft4TG6+6RZeeulljjrmSI48+ggOOfQLzJo5i/F3ju+WugA7fGkkm396q8I6bWm2sahy\n",
       "jKvSrup/V5VuldpxHFen2xs3cY8GnrW9J4CklYFpwMdt/03SOOCLkn4BXAmMsT1RUn/grTZa3wFu\n",
       "s32YpEHAA8BfgBOBbWwfl7/jw8CBwI+BTwBTbL/aSOcXvrWAl86+HwAttwwDRg9pRKYVs2bOAmDd\n",
       "9dZt9XvWrKe7pW6NKursNttYVDnGVWpXVSO5ytrLzdTnZjveqtDtdTM3YCqwm6QzJY0ABgMzbdf8\n",
       "e+OAkcAmwPO2JwLYfsP2u220dgdOkDQZuAPoC3wQUP6pcRFwcH58GHBxo51X32VY5eCPMGCPjbDN\n",
       "nKsfxwvLPTuqqs7ejFXfm20sqhzjZvz/BYlmO97K0O11MzfbT0oaBuwJnAbc3uYtS+v5/rTtJ1sJ\n",
       "SDu0+c5nJL0o6ePAdsDnFic2946WO5XlB69M3yGDWneuj+i74Sr03XAV5s94mXf+8TqevwD1W24p\n",
       "u93CkA3T7O+Zfz4DwHPPPpfahwxuWLNK3SpptrGocoyb8f8XJJrteOus7vg7xzP+rgmd0ux1xk3S\n",
       "OsBs25dLeg34f8AGkjay/RRwEHAn8ASwjqRtbT8saQDwZhu5m4HjgGOz9jDbk4G5wIA2770AuAwY\n",
       "5w5uSwbsssFi+/7232Yzf/rLLLf+QN59/W3eeWYuywxagT4FDBvAJ0fvzpprrsH5v7yA/v37c8nF\n",
       "4xg8ZDAjR43slroA/3xgFnNmJc/uGy+9wV9vfJS1t1yXgesNWsInu6bPzaZbpXZV/7uqdJuxz812\n",
       "vHVWd+Soka3aTj/1+4vV7I1uyS2AB7Ir8UTSutlhwNWSpgILgPNsvwOMBX4qaQrJkK0AOP8AnAos\n",
       "lwNRpgMn5/Y7gM0kTZY0JrddD6xEAZdknxWX5Z1n5/L6jU/x5gPPsfyQQQw6YLNG5RbRt29fLrvy\n",
       "Mvr3X4lvfu1brL32Wlx+5aWoYPhWVboAM66ZzMSL7kMSs2e+wn0/voOXHn2hsG6zjUWVY1yVdlX/\n",
       "u6p0q9SO47g6XYUf/f1B0rbAObY/1sF7vPbJO5f+3TO/c1PpmlUT2dSbl2asCtBsxHGcWHHZlbDd\n",
       "rgXsdW7JrkDSCcAxwAFd3ZcgCILeQG90S77v2D7T9mDb93Z1X4IgCHoDYdyCIAiCHkcYtyAIgqDH\n",
       "EcYtCIIg6HGEcQuCIAh6HGHcgiAIgh5H7HPrRkjyWwvmdXU3ugUf/uHeleg+/o3rK9Gtkv/8w5cq\n",
       "0f3Df/68Et2qqGocoPnGIs6PREf73GLmFgRBEPQ4wrgFQRAEPY4wbkEQBEGPI4xbEARB0OMI4xYE\n",
       "QRD0OMK4VYSkj0kaXrbuvffcx3bDtmfQSquy0/YfZcrkKb1S951X3uSFX03in6dM4B/fu4sXL5zM\n",
       "O6++VYp2s43F4xc+wJ2HXcUt+41j0vdvK0WzRjONRYxDC3F+hHGrBEnLArsAO5WpO3/+fA4YcwDz\n",
       "5r3J2eeexYsvvsQBYz/PwoULe5UuwLuvvw3AoN2G0H+bdZj/t9m8+rvHCus241iAWHtEqmRcQhm3\n",
       "RTTfWMQ41IjzI4wbAJJWknSDpCmSpkkaI2mWpB/kQqQPSNoov3ewpNslPSLpL5LWz+2XSDpP0v3A\n",
       "VcDRwFdzwdIRkvbP2lMk3dVIP2++6RZeeulljjrmSI48+ggOOfQLzJo5i/F3ji/09zebLkDfDVZm\n",
       "7aO2ZsDwD7DqPpukQq4vtS2U3n36XOVYfPjw7dlgr+JFa9vSbGMR49BCnB9Rz63GaOBZ23sCSBoI\n",
       "/ACYY3tLSQcBPwL2Bn4KXGz7UkmHAj8B9s066wLDbVvS94C5ts/NmlOB3W0/n/WXmlkzZ6UvWW/d\n",
       "Vr9nzXq6Ebmm1QXQMi33ZW8/8zoL31pAv4+sWVi3GceiKmIsEs04DnF+xMytxlRgN0lnShph+/Xc\n",
       "/pv8+0qgtn62I3BFfnwZMCI/NnC1W6d8qXeO3AOMk3QEJd1UVJVdppl033lpHi+Pm8qyq6zAqvts\n",
       "Urp+M41F1cRYJJppHHrz+REzN8D2k5KGAXsCp0m6vb231T1enEd/sfN+21+UtH3+jomStrH9r7bv\n",
       "O+3k0xc9HvmxnRk5auSi50M2TOsJz/zzGQCee/a51D5k8OK+tlM0m26Nf784jxfPn0yf5fuw1pHD\n",
       "WGbA8oU1m3UsqiDGItGs49ATz4/xd45n/F0TOqUZxg2QtA4w2/blkl4DDs8vjSW5J8cCtSra9wKf\n",
       "Jc3aDgQW5xSeCyxyP0rayPaDwIOS9gA+ALzHuH33e99ZbD8/OXp31lxzDc7/5QX079+fSy4ex+Ah\n",
       "g1sZwEZoNl2ABXPm8+L5k1j45gIGjtiQt//xOm//43VW2mqtbtnnKsfi5YnP8MY/ZgMw/5V5PPOX\n",
       "J1l187Xot05D3u/K+1yVboxDCz31/Bg5amSrttNP/f5iNcMtmdgCeEDSZOBE4LTcvoqkR4Bjga/m\n",
       "tmOBQ3P7gcDxdTr1s7vrgX0lTZI0AjgrB6dMA+6xPXVpO9m3b18uu/Iy+vdfiW9+7VusvfZaXH7l\n",
       "pahgaFiz6QIsePUtFs57B2zm3PwUr1w5g1eunFFYtxnHYtYfZvDk5ZNAYu7Ts3n0l/cx54mXC+s2\n",
       "21jEOLQQ50dUBVgskmYC7boOK/zOqAqQiaznLURVgERUBWghzo9EVAVojLD6QRAETUqsuS0G2xt2\n",
       "dR+CIAiCxoiZWxAEQdDjCOPWpJSRxaAn6ALMf2p2JbrNNhb/mv5CJboQY1Gj2cYBeu/5EcatSens\n",
       "Xo+ergsw/+8VnbxNNhb/mlGhcYuxAJpvHKD3nh9h3IIgCIIeRxi3IAiCoMcR+9y6EZLinxEEQbAU\n",
       "LG6fWxi3IAiCoMcRbskgCIKgxxHGLQiCIOhxhHELgiAIehyRfitYhKRVgQ80UrEgWDyS+pAqSAyx\n",
       "fYqkDwJr5xJIRXRHAFNsv5GrxQ8Dfmy7cClnSf2Bt2y/K2koMBS40fY7RbWrQlI/YH3bT5Sg1VEG\n",
       "Ydvep4TvKK2/7weSVrP9asXfUdo1KGZuTYKkr0haWYkLJU2W9MkSdO+SNDAfVBOBCyT9bwm6I/IF\n",
       "EkkHSTpX0gZFdbPe2bnPy0m6TdIr+eJeVHeEpFslPSlpZv75ewld/jmpkvsB+fkbua0ovwDmSdoK\n",
       "+BrwFPDrEnQh1SnsK2k94GbgIOCSoqJVjbGkfYDJpL4iaZikPxaQPKeDn3OL9baS/tZrT6uV16r7\n",
       "uVvS/0parYD0/ZKulvQplVGXp6W/lVyDsB0/TfADTM2/PwlcB3wEmFyC7pT8+wjg5Px4Wgm600gV\n",
       "y7cincT/D7irpLF4JP/eF7gQWLk2PgV1nwD2ANYCVq/9lKA7uf53/d9Qku73gCPy40kljXFN+1jg\n",
       "WyX2uaoxngQMajPG08sYiyp+quwvcDZwBqlO5ZbA94EfAScA1xfQ7QPsDlxJupE6A9ikhP5Wcg0K\n",
       "t2TzULtT2hO41Pb0km6elsmVyMcA381tZewPWWDbkv4L+D/bF0g6fImf6hy143Yv4Brbr5W0R3CO\n",
       "7RtL0GnLvyUtU3siaQ1gYQm6cyX9N/B5YOf8HcuVoAuApOEkd2rt/1aGp6eqMX7H9pw250ThMZa0\n",
       "Cck4bA6skJvt4lVDKulv5hO2h9U9nyppsu1huVhyQ9heCNwC3CLp48BlwJckTQG+bfveBqUruQaF\n",
       "cWseJkq6BdgQOEHSQMo5GU4huUbusf2gpI2AJ0vQrfLCe72kx4H5wBclrZkfN4SkbfLDOySdDVwL\n",
       "vF173fakIp0Ffkqaba8p6fvAfrScxEUYS3J1Hmb7hbyW98MSdAG+AnwbuM72jHxc3FGCblVjPEPS\n",
       "gcCykj4EHAc0erGt52LSzPhcYDRwKLBMh5/oHFX1F5Kx2MH2AwCStqflxmRBo6KSVifd7BwMvAh8\n",
       "Gbie5J25BhjcoHQl16DYxN0k5KCEYcBT+Y5vNWA9d9PgD0lrk06EB21PyBfeUbZLWRPK/vnXnAIe\n",
       "VgIG2G4oW66kO+ngTtH2Lo31stV3bArsmp/eZvuxoppVImkj209VoHsn7Yx10THOx8B3SG4zSBfL\n",
       "U203fNOTdSfZ3lrSNNtb1Ld1x/5m7e1IRrl/bppLmn3PAPa0/dsGdf9Kmq1dZPuZNq+dYPvMBnVH\n",
       "2L57SW1LrRvGrTmQdJvtXZfU1oDuWcBpwFvATaS7sK/avrSA5rLArWUYhcXor0QKoPig7SPzne9Q\n",
       "238qqLuh7b8vqa1B7VWAD5K8JYbisxVJnwHOJK1f1fxbtj2wiG7WHg98AHiIFFwy3nbDLq1mRdK9\n",
       "wM6kmcltwHPAGbaHdmnHOoGklQFsv1aS3pi2hrG9tgZ0J7dxo5ZyAxFuyW6OpBWBfsAaebZSYyCw\n",
       "Xglf8Unb35K0LzAL+DQwAWjYuNleIGmhpEG255TQx7ZcTIqq2ik/f4508Slk3LJG2xPqamCbdt7b\n",
       "aSSdChwC/J3WruSixv8sYK8qZoG2R0rqC2wLjAJukNTf9qodf7JjJA0iuflG5qY7gVOKXoAl/QXY\n",
       "r3a85XPlN7aLRhR/hXT+HQecSjrvvlBQs8r+ImkF4DMkN+GyeV3Ptk8pKH0C0NaQfbudtk6R13R3\n",
       "Il3bvkbLDdoASnD9hnHr/hwNHA+sS7qg15gL/KwE/aqCM+YB0yTdmh9DOsGOK0F7I9tjJH02i84r\n",
       "ElyTXYabAYMkfZp0kpl0IVuho892krGkPv+7BK16XqjKvam0h24kMIIU1XcDaQZXlItIkbT7k8b5\n",
       "INLNyqcL6q5efyNl+1+S1iqoiVv2Is4l3aCURSX9zfwBmEO6XpTh5twD+BTwAUk/obURKrLvcXla\n",
       "DNmAuvbXSevShQjj1s2x/SNJPwX+2/apFXxFqcEZdVybf2qGUpQThQnwdp7RJuG0AP12B+9fEkOB\n",
       "vUlbCvaua58LHFlAt8YMYBXSInyZPCzpKuD3QM1w2va1JWjfRbo4ngH82XaR8a1nI9v1huwkSY+U\n",
       "oPuupA2cN7BLGkw50ZJDgW+QZ0G52bY/XlC6kv5m1itjBljHc6Rj4T/z79q5PBf4aqOitu+SdA+w\n",
       "he2Ty+hoPbHm1iRImmL7PyrSLi04o41uP9K62OOFO9lad3fSYvxmwK3AR4FDbBeK5pM03PZ9JXSx\n",
       "re52pLvp6bQYYbtglgtJl9S06tttH1pEN2sPIs3adga2B94F7rddKMpT0v3AN21PyM9HAGfbHl5Q\n",
       "dzTwK1pmlyOBo2zfVFB3Kmmz/CTSGED6301c/Kc6pVtJf7P2r4CflR1sJmk5UsRzqed0PiaGu2Rj\n",
       "FMatSZD0Q+B+4HdlHgQVBmfsQ9pM2tf2YEnDSBs0C6ctyvqrAzvmp/fbfqWA1k87eLmwK1XSY6QL\n",
       "5HRa7s5t+64iulUjaTPSRXckaW3kH7ZHdvypJWr+BymLysq5aTbwBduFZ29K+wd3JBn7QsdEneZE\n",
       "24XWXDvQLr2/WfcxYGNgJq1vprYsqFvJOS3pPNKyy9XAm3X9LeSBCOPWJEh6g7Sw/S4tbsPCkXGS\n",
       "fktyNRxse/Ns7O61vVVB3UnAx4E7apFQkqbb/kgR3Tr9rWhxFdWiDxs6GSQdQmv3aT22Pa6xXi7S\n",
       "f8j2dkU0FqM7lJTGa+38v9sS2Mf2aSVo/52UTWQCaXbxYJlrhkr7NLH9eoma6/HeY6LQOqGkk4CX\n",
       "ee++vH8V0c3apfc36w5ur932rIK6lZzTVXkgYs2tSbDdP7sPP0Q5QQ41Sg3OqKOyDAySLialFprR\n",
       "RrMh42b7khK61RETJJ0B/JFyNy6fD3wTOC8/nwb8hrS1oygfsv3ukt/WOSQdZPtSSV+n7iKmdIDY\n",
       "dqF8jZJ+QArceZQW9yEUD4I5hNTfb9S1mZRMoWGq6K+kgflmobQbhjZUck7bPqSoRnuEcWsSJB1J\n",
       "Ckf+ADCF5M64j3QnVYSygzNqVJmBYQdg89J99CmY5luktbzamJQRPLA16YK4Y5v2olsB+tl+oHax\n",
       "sW1JZWXt31hS/axwK2DvArPCfvn3AMoLLKpnX5I7vazAFwBsDy5Tr44q+vsbUnq+Sbx3jAsbZCo6\n",
       "pyWtD/yEtMYLycAf7zYbxZcad4MkovHTqeSi00kX3FqS0U1JqZGK6u5Oiox7GbgCeBrYpQTdlUg5\n",
       "+R7OP6cDK5Q0FuNIxq3sMb6VlLz1ceBjpBD1s7r6f99Bf28kra3UkhzvRypLU4b2eNJNRE1bwIwS\n",
       "dEd0pq3BsRhQwRgvT9qK8zvSPshjgeW6a3+r/KnqnAb+QkprVgtYOYSUBKKQbqy5NQmSHra9rVKS\n",
       "0h1tz5f0qO3NStAuLTijTnN/21cvqa1B7VEkF98LlLtgXku1NLWmVRv3grpVbVzeiBRxtxMpMGMm\n",
       "cKALrq1k7drxtih7RBkRu6ooG4Wka0nZdW6j9TFRNBjoQpKHaxwt+/IW2D6ioG4l/c3aIu0bHEFy\n",
       "G95t+7qiulUh6RG3WeNvr21pCbdk8/BPpRROvwdulTSblFGkDPqSLo7LAptJwsUXtv+bFP20pLZG\n",
       "uJCUkLk++rAMagETL0jai7S/Z5USdCvZuOyU+3HXHAS0jEsMzgBelrRx7Ymk/YDnGxVTxdkoSDc7\n",
       "f6T8fZXbtblpui1vDyhKVf2FFGS0EclNKeAYSbvZ/lIjYpJ+bPt4tV/A1S4eAf2qUj3GK0j9/SxQ\n",
       "+AY7jFuTYHvf/PAkpeSzA0m5IAtR9sK2WrIZrKdysxnU85LtUgo7tuH0PMv6OimT/0AKbFKto5KN\n",
       "y0rJqU8nbdodnUP3h9u+sKg2KeP7L4Ghkp4jpQ77fAG9SrNR2L6kon2VCyRtbPtvsGi23HBm/RoV\n",
       "9hfSWu5mTiVqatGIjxbQqyU7P6ed18owyIeRzrdaUNG9JDdlIcIt2ctRyvS9hUta2M6BB8NIZSxO\n",
       "pMW4vU4KIZ5dwnf8nJQS6nrKz8xROhVuXL6JNAP8ju0t8ybbyS5hu4Va5ydclfT/swvmJ5Q0uAy3\n",
       "aTu6Ve3B2pU0xjNz02DgUNu3d8f+Zu0/AV+ujXPeGvAz23sV1O0PvOUcRatUxmoF2/M6/mTXEDO3\n",
       "4CnSXXUpxs1pM+4jki63XdZMrS39SP3dvU17sU2f1e0bOwYYl2eFAP+inDyFq9u+StIJALbfkVR4\n",
       "VpGpz0/4XEmaAG8qJSQoOyL1JFIAzB1ZcLKkotGB2L5NqWDpUNIs5YmSbgRPooL+ZgYCj0l6kNTn\n",
       "7YGHsluxiBvxNlLZpjfy836kUj07LfYTnSDPhn8EDM/9vZdUmaRQNY4wbsFbwBRJZS9s/7Wd/XJ2\n",
       "8QrGuKJ9MVS3b+xxUgb/jUgzztdIefqKuibfUKrrB4CkHbN2GZSdn7DG5cBVpETdR5OM/Msl6Ja6\n",
       "B0vSrtmwfYZ0wa0Jb5zXpIt6CaqsxP0/+Xd7iQmKuOr62q4ZNmzPza7VolxBSgJfc92PJZ13OxQR\n",
       "DeMW1Ba26yllIb7u8QqkdZXVFvPepSLvyzuclrv/WnaHwwpKV7VvrH4W9GwJejW+TnLNbqhUd2wN\n",
       "Sli/ytwraUuXXwx3NdsXSDrOKf3YXZIeLkG37D1YI0kzlb1p/3woatwq2wdq+05J65BmbAuBh1xC\n",
       "rlhgnqRtnPNqStqWdHNclBXdun7kZZK+WVQ01tyC940yQr6zzjXAY6RK3yeTAh0eKyHs+0bSPqar\n",
       "bQ/LEYKH296joG5pacfa6K5ACgIaSro7fwLo43KqOVeVn/B+2ztKuoW0cfc50nhvVFC3H/BdKqhs\n",
       "XQWqthL3EaTZWy2R+CjS1pNCgUZKCcCvpCVqdh1grO1CNyc5qG0OabYGaea2CsnbgRtMdRbGrZci\n",
       "6Wrb+0tqr7pyGRexbWi54+1DKnr5xaJ7V7L2FNv/UduPlgMp7rZdyI2Rff+/JK0hzCFHCBYNgFB1\n",
       "Wdrfc7NQ4g3E4PbaSxiLvUn5KtenJSL1pCLRr6qw8rvapAvLvAZMtD2l7O8rgxwkNtz2q/n5asB9\n",
       "tjcpQXt5oKbzRBnr6pJmsXhvUcNLGeGW7L0cn3/v3eG7GuccWg7YBaQ9eWNK0q5FSL4maQvSZu41\n",
       "StB9lhQZdwctEYIHkyI/l5q6G4dlgEMllTILyi6ndYF+kraGVsVVy1gDKWzEOtCt7ZWaQ5pRlKFZ\n",
       "ZeX3bUg3ZteTxnlP0lrsMZKusf2DpRF7H/aMQdoj9kbd8zcoYd9YNmxfpC4ZgaTzSjBw3wJusv26\n",
       "pP8hRVuf5qJlhWLm1rvJ7pH5TrXchpJcXDdWGOlYmOx2uZaUPPli0r6pE22f1+EHl6x7My1rY4v2\n",
       "/Nlub39PZ/QGd/R6owZE0hdIgRjbktIg1ZgLXNJdt0RAdRGpkv5IuiiWWvld0gRgj1ogRQ6H/zMw\n",
       "mjR723Qp9baxPVEpy05b7BLKIEm6FPgIaa0XUvDS1PxjN5ikWtVla5lme4u8ReY04Iek87mYJyaM\n",
       "W+9GqYzFCJKP+x7gIeDftg8sqLs6KeXUCNKsYgLJ7/9qsR63chXVR4G9BjxcxFVU1dpYVUjaz/Y1\n",
       "Xd2PpUHSeHJEal7XFDDd9uYFdQ/JD1tl/HDxckWPA1s6l/uR1BeYanuo2kklthS6le0ZUyrTA4vJ\n",
       "fuIGq16rLi1dR20N6NaWGc4Eptm+vMjY1gi3ZCDbb0o6HPi57bNUQvYM0sLzXaTwXgEHkELAP1GC\n",
       "dr2rCFJY+TTg6EZcRXVUFSFYCc1m2DKVRKS6uowflwMPSPo96TjeG7giezyKZP2oZM8YgO2TACQN\n",
       "yM/nFtXMVJKtBXg2r0vvBpyZA6X6FBUN4xbU8v4dSAqvhxIOLJLb6dS656dJGluCLqRghK3rXEXf\n",
       "I7mKPkZyKS7tOkgla2NBu5Sas7JOZ1HGD6C0jB+2T1XKBFMzOkfXRQcW8W5UtWeMvA79a/LWG0kv\n",
       "k6qdTy8o/U3g9nx+AGxASp1VlDEkN+/ZTnv/1snfVYgwbsFXgG+TyufMyHdjdyzhM53hFkmfI83W\n",
       "ICUNvqUEXUjBI/VVod8B1soz0EZCqasKqgney5dJlQxqOStnUsxI1DiJ6jJ+rADMtX2RpDUkDbE9\n",
       "c4mf6pg3K9ozBml8v2b7jqw9ipbqEUVYjbTOPZi0jjectEZdiOyK/V3d8+cp44Yn1tyCKpD0BsnV\n",
       "Usu60IfWC/0DC2ifSHJ31ruK/khaiP5V0fXC7o5aZ814zwncXQNK8rrSD2x/I6859XFJlQwkPWB7\n",
       "B7Uu0VPGetBJJDf4UNubSFoP+K3tjxbUbbtnbG3gs0X3jGXtSkrIVBX4URUxc+vlSGpvlmYXzPVn\n",
       "u3+Rzy9Bu+Yq+ijp4l6Wq6hZqGXNWJN0N15L4rsLKctFtzRuOSJ3hCTVu+RKoqqMH/uSojAnAth+\n",
       "traWVZAhWXcD0o1aLZtIGczMN4CXkm6ADiTt2SxKLYJ4L+B823+SdGpHH+hKwrgF9b7tWib4UpLv\n",
       "5jDvwdQdZ2XNKmw/RIrs7HU459aUdCuptMnz+fk6pDDt7swU4A+SrgbezG0u4bj4MilDydukTBc3\n",
       "A2VceN+2vbAWAJMDScrgRNu/lbQy6abkh8AvKJhPMXMYKXNPbUwnUM7aWCWBH1URbsngPUh6yPZ2\n",
       "S35nhxoXk/zzM6i7I7VduE5TkMhh6ps6n8SS+gCP2v5w1/Zs8SjVFmvPldrQcSHpUtsHSfqK7R8V\n",
       "7V8bbZHKNq1HSpN1BslIXGH7JwW1Kwl/r5Js2EeTtkI8mW+mtrBd1lp6qYRx6+VIWrXuaS1N1o9t\n",
       "Dy2o+yiwueMAqwxJPyOlQqpVMB4LPGn72C7t2PtIPs4+QSrcO6rt624wL2HWFmmLyVeBWoWEm23f\n",
       "2qhmnfYNpIw4u5Hck/OBB4qui2XtocA3aO01KbzU0GyEcevlqHVet1qarJNt311Qdxxwlu0ZhToY\n",
       "LJZ88d2XlA7JwHjb13VtrzomHxfHO6fJkrQKcI4brOgg6ThSSqgNeW/dObtgiaXc3/+z/WARnXZ0\n",
       "K5sFSZpKcnFOomWdzC6YzqrZCOPWy8l7a75EyiSyELibtJm7UHbyHH78R1Lex9gzFgAt7rgltTWg\n",
       "e57tY4r1rl3dJ0jVEZ6mdbRvtz2OJU20vU1X96OrCePWy8kL+68Dl9GSSWRl2/sX1H2K5M6ZTus1\n",
       "t1lFdIMW8paAM4G1aElFVmibRdXk7De71NyF2S1+l+0tStDeGdjY9sWS1gD6F92PpoqqI1RBHkuR\n",
       "yja9TAooWVQ1vIiLthkJ49bLkfSo7c2W1NaA7n22hxfrXdAR+QZiL9uPdXVfOoukg0l1zH5LuhDv\n",
       "D5xu+9cFdU8irRdvUrcf7WrbhdNZNQuqqHRMsxJbAYJJkobbvg9A0o7kPT0FmSzpClL+x1o2kTJC\n",
       "voMWXmgmwwZg+9eSJpLC3wH2tV0kR2ON9vajVbbXsjtiezCApDG0U0KmK/vWFYRx66XU5VNcYYfT\n",
       "bwAABxVJREFUFrhH0j9Jd30fJFV0Lko/klHbvU17GLfyeFjSVaRMLc10A7EqMK/mPiwpnVVV+9Ga\n",
       "kdoeuhHAx0k5N39OOXvomoYwbr2XjvIpFvZV1zYaB5WyMikfYdPcQNSnsyLV4luetN7bcDqrHDX6\n",
       "J0m/BAZJOoq0H+2Cwh1uTtpmErlBUq+bucWaW1AJktYHfkKKwgQYTwoBf6brehV0NTmgZBip0Gcp\n",
       "OSCr3I/WjFS5h66ZiJlbUBUXk2phjcnPD8xtu3VZj3oYklYklSnaDFiRPONudM/Y+0Tp7kPbzut4\n",
       "r9n+RlG9HkAlJWSajW6bFyxoetawfbHtd/LPJaREv0F5XEraBjAauJNU567shMSlsRj34W2U4z7c\n",
       "EbhP0t8lTcs/TVF0tmxsz7P9O9tP5ufPd9cUWVUSbsmgEiTdTpqp1VJDfRY41PauXdqxHkRdfsKp\n",
       "treUtBxwt7tpCZKK01kNbq+9O+5HC94fwi0ZVMWhwM+Ac/Pze3NbUB61CMnXlKovv0Aq5NotqdJ9\n",
       "GEYsaEsYt6AqTgEOtj0bFmVP+CHllN4IEufncf0uKdVZf1IW++7MjsDnJTVNOqugOQm3ZFAJVeUQ\n",
       "DJqbcB8G7xcxcwuqQpJWbZNDcJku7lPQxYQRC94vwrgFVXEOKXqtVQ7Bru1SEAS9hXBLBpUhaXNS\n",
       "+h8Dt5eUQzAIgmCJhHELgialTYLcE4GtgVNtT+rirgVBlxObuIOgeTkxG7YRwK7AhaQKzEHQ6wnj\n",
       "FgTNS9sEuX8iJSIOgl5PGLcgaF6elfQrYCxwg6QViHM6CIBYcwuCpiUnHR4NTLX9ZE6Qu0VvzCMY\n",
       "BG0J4xYETUbeM7hYansLg6A3E8YtCJoMSbNI2ytEqpw+O7+0CvC07SFd1LUg6DaEfz4Imgzbg7MB\n",
       "uxXYy/ZqtlcD9sxtQdDriZlbEDQpkqbb/siS2oKgNxLpt4KgeXlO0neBy0guygOAZ7u2S0HQPQi3\n",
       "ZBA0L58jVTe/Drg2P/5cl/YoCLoJ4ZYMgiAIehzhlgyCJkPSj20fL+n6dl627X3e904FQTcjjFsQ\n",
       "NB+/zr/Paee1cMUEAWHcgqDpsD0xP5xb9xgASXt1QZeCoNsRASVB0LycL2mL2hNJnwP+pwv7EwTd\n",
       "hggoCYImRdKGwDWkLQA7AweTNnW/1qUdC4JuQBi3IGhiJA0Ffg88DXza9ptd3KUg6BaEcQuCJkPS\n",
       "tDZNawJzgH+ToiW3fP97FQTdizBuQdBkSBrc0eu2Z70vHQmCbkwYtyAIgqDHEdGSQRAEQY8jjFsQ\n",
       "BEHQ4wjjFgRBEPQ4wrgFQTdE0ruSJkuaJum3klYsoHWJpM/kx+dL2rSD935M0vAGvmOWpFU7297m\n",
       "PW8s5XedJOnrS9vHoHcRxi0Iuidv2h5mewtSiP8x9S9KWprUec4/2D7S9mMdvHcXYKel7SyLz2nZ\n",
       "mYi1pY1qiyi4YImEcQuC7s8EYOM8q5og6Q/AdEl9JJ0t6UFJj0g6CkCJn0l6XNKtpH1w5NfulLRN\n",
       "fjxa0kRJUyTdKmkD4Gjgq3nW+FFJa0i6Jn/Hg5J2yp9dTdItkqZLOp9ULLVDJF0n6eH8mSPbvHZu\n",
       "bv+LpNVz20aSbsyfGZ83rAdBp4jEyUHQjckztE8Bf85Nw4DNbT+djdkc29tL6gvcLekWYGtgE2BT\n",
       "YG3gUeDC/HkDlrQG8Ctg56w1yPYcSeeREjKfm7//CuB/bd8j6YPATcBmwPeA8bZPk/Qp4PBO/DmH\n",
       "2Z6dXawPSrrG9mxgJeAh21+TdGLWPjb372jbf5O0A/BzYNcGhzLoZYRxC4LuyYqSJufH44GLgI8C\n",
       "D9p+OrfvDmwhab/8fCDwIVKeySucNrE+L+n2NtoCdiQZp6cBbM9p83qNTwCbSouaBkhaKX/Hvvmz\n",
       "f5Y0uxN/0/GS/is/Xj/39UFgIXBVbr8MuDZ/x07A1XXfvXwnviMIgDBuQdBdecv2sPqGfJGf1+Z9\n",
       "X7Z9a5v3fYoluwk7u24lYAfb/26nL0t0Rda9fxRp1rWj7fmS7gBWWMz3mbRkMrvtGARBZ4k1tyBo\n",
       "Xm4GvlQLLpG0iaR+pJne2Lwmtw4pSKQeA/cDI2upvOoiGucCA+reewtwXO2JpK3yw/GkagRI2gNY\n",
       "ZQl9HUgyVvMlfZg0c6zRB9g/Pz4AmGB7LjCzNivN64iRMzPoNGHcgqB70t7Mym3aLyCtp03KyZR/\n",
       "ASxj+zrgyfzaOODe9wjZrwBHkVyAU4Df5JeuB/atBZSQDNu2OWBlBingBOBkknGcTnJPPk371Pp7\n",
       "E7CspEeBM4D76t4zD9g+/w2jgFNy+4HA4bl/04F9ljA+QbCIyC0ZBEEQ9Dhi5hYEQRD0OMK4BUEQ\n",
       "BD2OMG5BEARBjyOMWxAEQdDjCOMWBEEQ9DjCuAVBEAQ9jjBuQRAEQY8jjFsQBEHQ4/j/jzOuQ8XN\n",
       "koEAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cd1cd50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inds = [g[1] for g in guesses] == dmoz_encoder.inverse_transform(y_test)\n",
    "guesses = dmoz_encoder.inverse_transform(np.fliplr(np.argsort(clf.decision_function(X_test))))\n",
    "real_labels = dmoz_encoder.inverse_transform(y_test)[inds]\n",
    "pred_labels = np.array([g[0] for g in guesses])[inds]\n",
    "cm = sklearn.metrics.confusion_matrix(real_labels, pred_labels, dmoz_encoder.classes_)\n",
    "analysis.plot_confusion_matrix(cm, labels=dmoz_encoder.classes_, title=None, showwarnings=False, cmap=plt.cm.Greens)\n",
    "\n",
    "def draw_circle(pos, r=0.5, color='r', fill=False, linewidth=3):\n",
    "    c = plt.Circle(pos, r, color=color, fill=fill, linewidth=linewidth)\n",
    "    fig = plt.gcf()\n",
    "    fig.gca().add_artist(c)\n",
    "    \n",
    "\n",
    "\n",
    "#plt.savefig('confusion_first-was-good.pdf', bbox_inches='tight')\n",
    "#plt.scatter([1],[1])\n",
    "#plt.xlim((-0.5, 14.5))\n",
    "#plt.ylim((-0.5, 14.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 340,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "[i for i, m in enumerate(meta) if m[0] == \"http://www.evertrust.org/\"]\n",
    "mmm = merged_corpus[1275]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 324,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "incorrectly classified  samples predicted as 'none'\n",
      "\n",
      "http://www.kiiking.ee/ sports, extreme sports\n",
      "Predicted as: none, \u001b[31msports\u001b[0m, society\n",
      "None words: melayu, xs, caught, bookmark, christma, sheet, sheer, sheep, size\n",
      "\n",
      "http://www.mynewsreader.com/robots.txt news, personalized news\n",
      "Predicted as: none, recreation, \u001b[31mnews\u001b[0m\n",
      "None words: melayu, 1220, drove, ring, xs, expir, undergradu, rink, wedg\n",
      "\n",
      "http://www.framtiden-er-din.com/ society, future\n",
      "Predicted as: none, sports, recreation\n",
      "None words: melayu, xt, traction, eachoth, breed, caught, bookmark, christma, sheet\n",
      "\n",
      "http://www.racquetballstrategy.blogspot.co.uk/ sports, racquetball\n",
      "Predicted as: none, \u001b[31msports\u001b[0m, recreation\n",
      "None words: melayu, 620, xs, expir, undergradu, rink, wedg, rins, zac\n",
      "\n",
      "http://www.paulawalla.com/ shopping, ethnic and regional\n",
      "Predicted as: none, sports, business\n",
      "None words: melayu, zac, xt, angular, drove, ring, xs, expir, undergradu\n",
      "\n",
      "http://www.asr-gooyesh.com/fa/ computers, speech technology\n",
      "Predicted as: none, sports, \u001b[31mcomputers\u001b[0m\n",
      "None words: www, melayu, zac, angular, drove, ring, xs, expir, undergradu\n",
      "\n",
      "http://www.laddersource.com/ shopping, tools\n",
      "Predicted as: none, \u001b[31mshopping\u001b[0m, sports\n",
      "None words: melayu, rink, sheer, sheep, size, xt, angular, drove, ring\n",
      "\n",
      "http://www.audi.co.nz/nz/brand/en.html business, automotive\n",
      "Predicted as: none, sports, shopping\n",
      "None words: melayu, sheer, tragic, cumul, checker, traction, eachoth, breed, caught\n",
      "\n",
      "http://rsd.gsfc.nasa.gov/rsd/ETheater/ science, earth sciences\n",
      "Predicted as: none, sports, \u001b[31mscience\u001b[0m\n",
      "None words: melayu, 1220, drove, ring, xs, expir, undergradu, rink, wedg\n",
      "\n",
      "http://misuse.ncbi.nlm.nih.gov/error/abuse.shtml health, search engines\n",
      "Predicted as: none, sports, \u001b[31mhealth\u001b[0m\n",
      "None words: www, melayu, sheep, size, xt, angular, drove, ring, xs\n",
      "\n",
      "http://www.diplomacy-archive.com/ games, history\n",
      "Predicted as: none, sports, recreation\n",
      "None words: melayu, 628, angular, drove, ring, xs, expir, undergradu, rink\n",
      "\n",
      "http://www.turbulence.org/Works/pedestrian/pedestrian2.html home, urban living\n",
      "Predicted as: none, sports, business\n",
      "None words: melayu, 620, xs, expir, undergradu, rink, wedg, rins, zac\n",
      "\n",
      "http://www.evertrust.org/ society, philanthropy\n",
      "Predicted as: none, business, \u001b[31msociety\u001b[0m\n",
      "None words: foundat, melayu, friend, breez, tragic, cumul, checker, traction, eachoth\n",
      "\n",
      "http://www.democratic-rules.com/ reference, parliamentary procedure\n",
      "Predicted as: none, sports, shopping\n",
      "None words: melayu, 628, angular, drove, ring, xs, expir, undergradu, rink\n",
      "\n",
      "http://www.philanthropy.org/ society, philanthropy\n",
      "Predicted as: none, arts, health\n",
      "None words: foundat, melayu, tragic, quad, tehran, quak, apolog, multi-us, pittsburgh\n",
      "\n",
      "http://www.outsellinc.com/ business, information services\n",
      "Predicted as: none, \u001b[31mbusiness\u001b[0m, science\n",
      "None words: melayu, 1220, drove, ring, xs, expir, undergradu, rink, wedg\n",
      "\n",
      "http://www.hasbro.com/loc_selector.cfm games, developers and publishers\n",
      "Predicted as: none, news, sports\n",
      "None words: melayu, romania, expir, undergradu, rink, wedg, rins, zac, 628\n",
      "\n",
      "http://www.anythink.org/ news, weblogs\n",
      "Predicted as: none, sports, recreation\n",
      "None words: melayu, 625, ring, xs, expir, undergradu, rink, wedg, rins\n",
      "\n",
      "http://amse.org/ reference, museums, science\n",
      "Predicted as: none, \u001b[31mreference\u001b[0m, science\n",
      "None words: tour, foundat, melayu, multi-us, pittsburgh, thaw, friend, vintag, breez\n",
      "\n",
      "http://www.nearctica.com/ science, directories\n",
      "Predicted as: none, recreation, sports\n",
      "None words: melayu, 620, xs, expir, undergradu, rink, wedg, rins, zac\n",
      "\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "inspector = analysis.ExampleInspector(dictionary, clf, X_test, y_test, predicted, meta, ind_test, dmoz_encoder)\n",
    "inspector.get_confusion(predicted_as = 8, only_failures=True)\n",
    "print\n",
    "print\n",
    "#inspector.get_confusion(13, 11, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Look at the SVM coefficients for words"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 349,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{arts}: art, artist, design, film, architectur, award, font, tattoo, costum\n",
      "{business}: busi, compani, drill, product, manag, manufactur, corpor, financi, market\n",
      "{computers}: comput, file, softwar, usenet, window, system, robot, bb, supercomput\n",
      "{games}: game, dice, rpg, wargam, puzzl, miniatur, warhamm, play, parti\n",
      "{health}: health, pharmaci, diseas, addict, age, drug, care, clinic, medic\n",
      "{home}: garden, diy, toy, plant, recip, apart, kitchen, decor, clean\n",
      "{kids and teens}: kid, parent, homeschool, fun, children, teacher, math, teen, school\n",
      "{news}: ferguson, news, newspap, weather, radio, obama, polit, netanyahu, iran\n",
      "{none}: cri, barbara, load, foundat, intermediari, -base, pointless, earnest, novella\n",
      "{recreation}: cave, lock, climb, bird, travel, naturist, hike, pet, rate\n",
      "{reference}: librari, dictionari, museum, thesauru, word, knot, answer, archiv, bibliographi\n",
      "{regional}: popul, countri, 01, geograph, stat, citi, nat, geo, trip\n",
      "{science}: scienc, astronomi, physic, scientif, firework, engin, pyrotechn, laboratori, data\n",
      "{shopping}: furnitur, accessori, auction, camera, shop, suppli, 00, price, pipe\n"
     ]
    }
   ],
   "source": [
    "words = []\n",
    "for c in range(14):\n",
    "    weights = clf.steps[2][1].coef_[c]\n",
    "    inds = np.argsort(weights)[::-1]\n",
    "    best = [dictionary[i] for i in inds][:9]\n",
    "    words.append(best)\n",
    "    print \"{{{}}}: {}\".format(dmoz_encoder.inverse_transform(c), \", \".join(best))\n",
    "#np.array(words)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### How good are the top N guesses?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "clfs = [\n",
    "    pipelines.make_classifier(dictionary, feature='tfidf', classifier = 'svc'),\n",
    "    pipelines.make_classifier(dictionary, feature='tfidf', classifier = 'svc', corp_type='body'),\n",
    "    pipelines.make_classifier(dictionary, feature='tfidf', classifier = 'svc', corp_type='meta'),\n",
    "    pipelines.make_classifier(dictionary, feature='tfidf', classifier = 'sgd'),\n",
    "    pipelines.make_classifier(dictionary, feature='count', classifier = 'nb'),\n",
    "    pipelines.make_classifier(dictionary, feature='lda', classifier = 'trees'),\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0: Testing \"lda(both) - D.Trees\" classifier\n",
      "0: Testing \"count(both) - N.Bayes\" classifier\n",
      "0: Testing \"tfidf(meta) - SVM\" classifier\n",
      "0: Testing \"tfidf(body) - SVM\" classifier\n",
      "0: Testing \"tfidf(both) - SVM\" classifier\n",
      "0: Testing \"tfidf(both) - SGD\" classifier\n",
      "1: Testing \"lda(both) - D.Trees\" classifier\n",
      "1: Testing \"count(both) - N.Bayes\" classifier\n",
      "1: Testing \"tfidf(meta) - SVM\" classifier\n",
      "1: Testing \"tfidf(body) - SVM\" classifier\n",
      "1: Testing \"tfidf(both) - SVM\" classifier\n",
      "1: Testing \"tfidf(both) - SGD\" classifier\n",
      "2: Testing \"lda(both) - D.Trees\" classifier\n",
      "2: Testing \"count(both) - N.Bayes\" classifier\n",
      "2: Testing \"tfidf(meta) - SVM\" classifier\n",
      "2: Testing \"tfidf(body) - SVM\" classifier\n",
      "2: Testing \"tfidf(both) - SVM\" classifier\n",
      "2: Testing \"tfidf(both) - SGD\" classifier\n",
      "3: Testing \"lda(both) - D.Trees\" classifier\n",
      "3: Testing \"count(both) - N.Bayes\" classifier\n",
      "3: Testing \"tfidf(meta) - SVM\" classifier\n",
      "3: Testing \"tfidf(body) - SVM\" classifier\n",
      "3: Testing \"tfidf(both) - SVM\" classifier\n",
      "3: Testing \"tfidf(both) - SGD\" classifier\n",
      "4: Testing \"lda(both) - D.Trees\" classifier\n",
      "4: Testing \"count(both) - N.Bayes\" classifier\n",
      "4: Testing \"tfidf(meta) - SVM\" classifier\n",
      "4: Testing \"tfidf(body) - SVM\" classifier\n",
      "4: Testing \"tfidf(both) - SVM\" classifier\n",
      "4: Testing \"tfidf(both) - SGD\" classifier\n"
     ]
    }
   ],
   "source": [
    "results = []\n",
    "i = 0\n",
    "for ind_train, ind_test in iter(sklearn.cross_validation.StratifiedKFold(classes, n_folds=5)):\n",
    "    X_train, y_train  = np.array(X)[ind_train], np.array(classes)[ind_train]\n",
    "    X_test, y_test  = np.array(X)[ind_test], np.array(classes)[ind_test]\n",
    "    accuracies = []\n",
    "    for legend, clf in zip(legends, clfs):\n",
    "        print \"{}: Testing \\\"{}\\\" classifier\".format(i, legend)\n",
    "        clf.fit(X_train, y_train)\n",
    "        accuracies.append(analysis.accuracy_of_top_n_guesses(clf, X_test, y_test))\n",
    "    results.append(accuracies)\n",
    "    i += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "r = np.array(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.38199575,  0.54836855,  0.65267808,  0.72899833,  0.79244066,\n",
       "         0.84411278,  0.8741479 ,  0.90711228,  0.93124311,  0.95082182,\n",
       "         0.96329859,  0.97830322,  0.9866397 ,  0.99290219],\n",
       "       [ 0.45145444,  0.60026889,  0.680338  ,  0.73796846,  0.78550811,\n",
       "         0.82933386,  0.86933942,  0.89981163,  0.92400198,  0.94490644,\n",
       "         0.95781788,  0.97493996,  0.9912251 ,  0.99957806],\n",
       "       [ 0.49970365,  0.65593997,  0.74226255,  0.79988531,  0.84825   ,\n",
       "         0.87993746,  0.90916476,  0.9303978 ,  0.94624963,  0.96001101,\n",
       "         0.97457971,  0.98041703,  0.98666581,  0.99792086],\n",
       "       [ 0.54150721,  0.69035546,  0.76586891,  0.80591346,  0.84392   ,\n",
       "         0.87645106,  0.89772952,  0.91899754,  0.94781237,  0.96279006,\n",
       "         0.97699537,  0.98786264,  0.99706568,  0.99958592],\n",
       "       [ 0.53575566,  0.6965963 ,  0.77078792,  0.81710329,  0.85599368,\n",
       "         0.88394914,  0.90733294,  0.92860885,  0.94782231,  0.95950182,\n",
       "         0.97037246,  0.98122234,  0.99210612,  0.99915612],\n",
       "       [ 0.56364452,  0.72288296,  0.79456172,  0.84341809,  0.87430901,\n",
       "         0.89561186,  0.92069112,  0.93988949,  0.95577028,  0.97118088,\n",
       "         0.9782708 ,  0.9887135 ,  0.99498492,  0.99915789]])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rm[rm.mean(axis=1).argsort()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEPCAYAAABCyrPIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJztnXmYXFW1t98fCTMEgigo5DKJCAgIKCCINjhFhSAikwOK\n",
       "qNwrcNUPFRG9J8cBQQTFAUWGgAhEUCAJMkMKZRACgTCFUUAIyDwkyBSyvj/WLvp0paq7KulTVd29\n",
       "3uepp+ucs88+q5Kqvfaw9vrJzAiCIAiCJTptQBAEQdAdhEMIgiAIgHAIQRAEQSIcQhAEQQCEQwiC\n",
       "IAgS4RCCIAgCoGSHIOlkSY9JurWfMr+UdI+kWZI2L9OeIAiCoDFljxAmAeMbXZT0MeCtZrY+8BXg\n",
       "tyXbEwRBEDSgVIdgZn8HnumnyATg1FT2OmBlSauVaVMQBEFQn06vIawBPFQ4fhhYs0O2BEEQjGg6\n",
       "7RAAVHMcuTSCIAg6wOgOP38OMK5wvGY61wdJ4SSCIAgWATOr7XQ3pNMOYSpwIDBZ0jbAs2b2WL2C\n",
       "rXyobkPSRDOb2Gk7FpWhbP9Qth3C/k5Ttv2adtUCVpxfXtu2ww4tFS/VIUg6E3g/sKqkh4AMWBLA\n",
       "zI43swskfUzSvcALwL5l2hMEQdBVrDhf1mKj3QqteppSHYKZ7d1EmQPLtCEIgmCR2WvfTJVKVlb1\n",
       "Y59/Hsqc/Whxur3TU0YjhUqnDVhMKp02YDGodNqAxaTSaQMWk0qnDVgstt4U6+kprcGuTF3RKpV5\n",
       "XbNGqqEgkCPJhvIaQhAEQxNVKlaqQ6jIenrKa9tabTtjhBAEQdCAKROgMrdSXq95emk1LxLhEIIg\n",
       "GLKUHaUz/Y8TYMzcsqpn9POlVb1IhEMIgmDIMuUz81View3T59JTXhAQwDPdtBU3HEIQBKUh8TQw\n",
       "tqz6pwM7TCyvxZ4O5UYBdRnhEIIgKJOxZi2HwzdNRZhl5TXYlcrIypIQUUZBEJSGpl5ljJlfWv3T\n",
       "ny9/jv+9E4Zu2xNRRkEQdA1TPju/zPba5/hLDNtEsm6a4y+bcAhBEJTGmLltmOMvN/llf3ouw45w\n",
       "CEEwgmnHom/pc/wxnTxoxBpCEIxgJKzURd+pYyzm+DtHq21nOIQgGMHokmnGUiuWVv90dmjDHH+0\n",
       "DY2IReUgCJpmyqdWLHnRl5jjH0KEQwiCEcyYudBjZSZvI3rwQ4hu0FQOgqABEk9LWFmvTn++oLsI\n",
       "hxAE3c1YM1TWq9MfLuguwiEEQRAEQKwhBEFXM2WZaVS0YmlTOzZ1ApXK3NLq77b0zkH/hEMIgi5m\n",
       "zEsrlrzoO7dUxa6RlvphqBMOIQhGOhEWGiTCIQTBYtCO1A+qlCfhONLy/Qf9Ew4hCBaP8vP9lyry\n",
       "HhM6QS+lRhlJGi/pTkn3SDqkzvWxks6VNEvSdZI2LtOeIAiCoDGlOQRJo4BfA+OBjYC9JW1YU+y7\n",
       "wEwz2wzYBzi2LHuCIAiC/ilzymgr4F4zewBA0mRgF2B2ocyGwBEAZnaXpLUlvdHMnijRriAYNCIs\n",
       "NBhOlOkQ1gAeKhw/DGxdU2YW8EngKklbAWsBawLhEIIhQYSFBsOJMh1CM1+zI4BjJd0E3ArcBLxW\n",
       "r6CkiYXDiplVFtfAIAiC4YSkHqBnUe8v0yHMAcYVjsfho4TXMbO5wBerx5LuB/5ZrzIzmzj4JgbB\n",
       "4lN6WGjsEwiaJHWUK9VjSVkr95fpEG4A1pe0NvAIsCewd7GApJWAF83sFUlfBq40s3kl2hSMMNoi\n",
       "EVl2WGjsEwjaRGkOwczmSzoQuBgYBZxkZrMl7Z+uH49HH50i7wHdBuxXlj3BiKX0fQJl1R0E7abU\n",
       "jWlmdiFwYc254wvvrwU2KNOGIAiCoDki/XUQBEEAROqKYLhzyCoof6bERd/pZVUdBG0nHEIwrJly\n",
       "7CmMeWlMafU/v2JpVQdB2wmHEAxrxrw0hh3K7cSXN/wIgjYTDiHoOGWGhpYfFqqny8wYGqklgnYS\n",
       "DiHoBkoLDW1DWOjYnh1Krf+ZCGwN2kU4hCBYXGLjWDBMiLDTIAiCAAiHEARBECTCIQRBEARArCEE\n",
       "3UCJm8di41gQNE84hKDzLPsMlpWzMFuZWF5q6iAYboRDCDrOlCOmlNZwx07iIGiecAhBxylzN/FU\n",
       "drZKZV5sHAuCJgiHEAzIUBaZqVTmhSZxEDRJRBkFzTDWDJX16vSHC4LACYcQBEEQAOEQgiAIgkSs\n",
       "IQTDH9fsLotnSqw7CNpKOIRg+BPJ54KgKWLKKAiCIADCIQRBEASJmDIKBiaE6oNgRFCqQ5A0HvgF\n",
       "MAo40cyOrLm+KvBHYPVky8/M7JQybQoWgRJzDUHkGwqCbqG0KSNJo4BfA+OBjYC9JW1YU+xA4CYz\n",
       "eyfQAxwtKUYtQRAEHaDMxncr4F4zewBA0mRgF2B2ocyjwKbp/RjgKTObX6JNwaKw7RRUKa8XHxNG\n",
       "QdAdlOkQ1gAeKhw/DGxdU+YE4ApJjwArAnuUaE+wqCw5prRcQwAVYsooCLqBMh1CMz/y7wI3m1mP\n",
       "pPWASyVtZmZzawtKmlg4rJhZZXDMDAZiygSozC210Y7NXUEwCEjqwaffF4kyHcIcYFzheBw+Siiy\n",
       "LfBjADO7T9L9wAbADbWVmdnEcswMBmLMXOix8kYIQRAMDqmjXKkeS8paub/MfQg3AOtLWlvSUsCe\n",
       "wNSaMncCHwSQtBruDP5Zok3DEomnJaysV6c/XxAE7aG0EYKZzZd0IHAxHnZ6kpnNlrR/un48cDgw\n",
       "SdIs3Dl928yeLsumYczYMtNIV0p2CpWKStNbCAGbIGieUkM8zexC4MKac8cX3j8J7FymDcGQYGxp\n",
       "IjYhYBMETTPglJGkGyUdIKk0xawgQLJSXrFgHQRN08wawl54COkMSZMlfURSLDAGg4uZSnqt0umP\n",
       "FgRDhQEdgpndY2bfBd4GnAGcDPxLUi4pfmxBEATDhKaijCRtBhwDHAX8BdgdmAtcUZ5pQRAEQTsZ\n",
       "cFFZ0o3Ac8CJwCFm9nK69A9J25VpXBAEQdA+moky2t3M6u4NMLNdB9meYFGI9NRBEAwCzTiEL0n6\n",
       "qZk9C5CijQ42s++Va1rQNB84BZYc02krgiAY4jTjED6WFpUBMLNnJH0cCIfQLUTyuSAIBoFmFpWX\n",
       "kLRM9UDSssBS5ZkUBEEQdIJmRginA5dLOhkQsC/wh1KtCoIgCNrOgA7BzI6UdAuehM6AH5jZxaVb\n",
       "FgRBELSVpnIZ1ctJFARBEAwvmsll9B5JMyTNk/SqpAWSIodkEATBMKOZReVfA58G7gGWAfYDjivT\n",
       "qCAIgqD9NDtldI+kUWb2Gq5fcDPwnXJNC5olJC6DIBgMmnEIL0haGpgl6afAv6E8MZagdUqXuJSe\n",
       "pkyRnNgIHQRdQTNTRp9L5Q4E/gOsCexWplFB1zG2xPTU0bkIgi6h3xGCpNHA4Wb2GeBFYGI7jAqC\n",
       "IAjaT78OIekiryVp6UKW02CEcdUUmF9RrFEEwTCnmTWE+4GrJE3Fp4wAzMyOKc+soJuYPwZK0zwO\n",
       "gqBraGYN4T7gr6nsCsCK6RU0icTTElbWq9OfbyQjaSVJ/1Nz7ihJt0n6qaT9JX2uzn1rS7q1cHym\n",
       "pFmSvpaOfybp/en9A62oE0raRdKGheOKpC3rlNtU0knN1lu4b4NU502S7pD0O0nLSnpS0oo1Zc+T\n",
       "tIekL6Q9TB8oXPtEOvfJVm0IyqGZ1BUT22DHcGesWXmRWZVwCp1kLPBV4LeFc18GxppZU/8vklYH\n",
       "3mVm66fjFYH3mdk3UxGjtci+XYFpwOzC/QthZrdIWk/Sm8zs8Rbq/yVwtJlNS/ZubGYvSro4PfsP\n",
       "6fxKwHa4LvtewK3p7+Wpnr2Bm1t4blAyzexUnl7nFdKZQeAcAayXess/lTQFH0nPTD3jiZIOBpC0\n",
       "ZRoF3AwcUKjjEmCNVMd7gV2Ay2qe821Jt0i6TtJ6qb61JV2R6rxM0jhJ2wI7A0dJmilp3XT/7une\n",
       "u9IzqlyIS+K2wurAnOqBmd2e3p6JN/hVdgUuMrOXcKf0d2ArSaMlrQCsB8wiwti7hmamjL5VeH0f\n",
       "9+g3NlO5pPGS7pR0j6RD6lz/ZvoR3CTpVknzJa3cygcIgg5zCHCfmW1uZt82s12AF9PxWXhDWO2h\n",
       "TwIOMLN30rfXvnOhjqvwXvUNNc951sw2xTMH/CKd+xUwycw2w7MS/9LMrgGmAt80sy0KaoejzGxr\n",
       "4OtAVqj3euB9LX7mnwNXSLpA0tfTSADcsW2RRLTAncOZhfsMuBT4CDAh2Rl0EQM6BDO7ofC6ysy+\n",
       "AfQMdJ+kUfiXdzywEbB3cV4z1f2z9CPYHDgUqFSV2YJgiNBU7zY1miulBh/gtH7qWAt4tOZctWGd\n",
       "DLwnvd8GOCO9/yNQ7PnX1nlO+jsTWLtw/tGa4wExs1OADYGz8bbgH5KWNLNX8EZ+d0mrAu8EajMj\n",
       "/wmfKqp1FkEX0MyU0SqF16qSxgPN6DVuBdxrZg+Y2av4F3mXfsp/mviCBCOHgRxJf7/N4uiiUT21\n",
       "6wbVsPHX6Lt2qDplkXRyGrmfX7dys0fNbJKZfQKYD7wjXapOG+0GnJfS3RTvm5HKvsHM7mlge9Ah\n",
       "mgk7nUnvF2Y+8ACe4G4g1gAeKhw/DGxdr6Ck5fBh5FebqDcIuom5DBx1JzN7TtKzkrYzs6uBz/RT\n",
       "/kF8nv71+4E9gSPT32vS+WvwxvePqb6/FWxqVmT7zel5fTCzLza6QdJHgCvM7NW0IP4GetcUKvjo\n",
       "5wDgoJrPUOU7+EbXoMtoJspo7UWsu5XIl52Bq/qbLpI0sXBYMbPKItoVBIOGmT0l6eoUQnqBmR3C\n",
       "wt/96vG+wMmSDJ9vtzplAK4C3gX8pXBtrKRZwEv4lAt4gztJ0reAx1P94KPxEyQdRP0F4+KztqLX\n",
       "kTTLh4FjJb2Ujr9ZjVIyM5N0NrC7mV1Z80xLZS7qx55gMZDUQxNT+g3vHygyTtIBwBlm9kw6Hgvs\n",
       "bWb9psCWtA0w0czGp+NDgQVmdmSdsucCfzKzyQ3qMhvCOW/0nVWMZcvbjDt94vRSk9tVKrLYmNaX\n",
       "PM+XALYH1sqybFAlZVMEznQze/dg1tvgWRVgjxbDToMhQqttZzMOYVaKYiieuzlFSvR332jgLuAD\n",
       "wCN4NMPeZja7ptxKwD+BNc2s7jByyDuEXGZZefZXVLFwCOWT57nwnvuBwD6FS6OyLFswmM+SZxa+\n",
       "0MxKywUraVPgf83sS2U9I+gsrbadzawhLCFpCTNbkB4wClhyoJtSHqQD8SiDUcBJZjZb0v7p+vGp\n",
       "6CeAixs5g2HBtlNQpTy9gsgeXS55nm+Mbzb7WuH0v/CQ02mD7QwAzOzbg11nnWfcAoQzCF6nGYdw\n",
       "MTBZ0vH4wtD+QO0cYF3qaTEXHEH1+FTg1KasHaosOQbrKbEHT6niOCOSPM/XAT5P35j954H/B5yT\n",
       "ZVkk5AuGHc04hEOArwDVfC2XAieWZlEQdIg8z9+ML9geXXPpG8DkLMv+3X6rgqB9NOMQlgF+b2a/\n",
       "hdenjJamN/NpEAxZ8jwfi8fM/wJYvnDp/4DTsix7oBN2BUEnaMYhXIEvDM9Lx8vh00jblmVUsAio\n",
       "RL2CYbZIkef5CnjqhCOAcYVLPwdOyLJsdt0bg2CY04xDWNrMqs4AM5ubNpIF3USZUVjliuO0hTzP\n",
       "l8bTqORAMWruFDzFyswsy4b85wyCxaEZh/CCpC3N7EYASe8idhkGQ4A8z0cDO+A7Y3csXJoCHANc\n",
       "1V+EUAqJ/nR1ujSdOwr4KHABrhXyHzM7rea+tYFpZrZJOj4Tz+d1spkdK+ln6fqVkh4AtjCzpxfl\n",
       "M0qaZ2Yr9HN9U+BrZtZMdoHifRsAxwMr4VPEf8PXUh4C1jGzuYWy5+E5lZYDTgY+ZGaXp2ufwPMo\n",
       "fcrMziHoappxCF8HzpJUTbb1Znz7fBB0HWnD2Db497a4S/dq4EfA5VmWvdpkdd2odVBLv3aE5kHQ\n",
       "Cs2krpiRspRugH/57krJ6oKgK0gbxjbDI+G+Urg0G/gecGGWZYsyqn1d6wCPrtuAXq2Dn+C9/rlm\n",
       "drRckexkelM8V3ld6wBPNbE29bUOPoqPvD9tZvelUcbJeJ6gJ4B9zewhSevgvfHlKaSPlvQH4C9m\n",
       "NiUdnw5MTg16VfPgNy189v40D75KcggUNA9SSo6/A9unjanLEJoHQ4pmRgjgP4SN8P/gLSRhZoO6\n",
       "XT8IWiXP8/XxRItFrY3HgW8CU7Ise34xH3EIsHFKzw6ApLnVY0kZfbUOvmpmV6VdxlV2Bs4v3PMZ\n",
       "+joMSFoHcqnNX6R7qloHp0naF++x7wocC/zGzP4oqZgM8kR8SmdK6rW/B6hKd14P/DetOYSq5sE1\n",
       "uFObZGbPpfcnShqb0tnslWyrUtQ8WAl3Wuu08NyggwzoEFJSufcDG+Payh/Fk2+FQwjaTp7n44DP\n",
       "AocXTr+C7yL+c5ZlTw7i4xZH6+CjDeoYSOvg5+n9NvgufvBsplUnsy3uGKrnjwQws79JOi7pEHwK\n",
       "+HM1uwCLqHmQpofG42nr95e0qZm9IqmqeXAOjTUPvoZnXD0Y+G4rzw46RzMjhE/hw/GZZravpNVw\n",
       "daagSaZMgMrc8nYTj2ZxO8LdTZ7nb8TXrX6Bp0GpcghwepZlc+re2DnK1jpoxB/wUcGewBdq6qmr\n",
       "eQBsDswxs50WMsTsUXzkMyllc30HcBPuwL6f6q2reSDpHcALZnaPFLNFQ4VmHMKLZvZakrdcCR+S\n",
       "jxvopqCXMXMpNRvpVVNllUqpKYTbnqYhz/MxeE/4Z8CqhUuHA5OyLLu3DWZ0o9bB1en86XWecwow\n",
       "A3jEzO4snA/Ng6ApmnEIM1LK6xNwndcX6P3SBl3A/DEwHLKR5nm+LPBxPBpog8Kl4/AQyFvbuVeg\n",
       "S7UOvgacIdcon1Ks28wel3QHcG6NjaF5EDTFgOmv+xT2CIcxZjarPJPqPndIp7+O9NSNyfN8SeBD\n",
       "eDTQewqXJuMLqNe10wmkiKVN8dHJ7wY7f1GZWgdpw+gtwOY1+wQqhObBiKSM9NevY2b3t25SEPQl\n",
       "7RV4H77gWJy7vhSfOqlkWfZavXtLsmc0Hkv/JXzBusosFu5tLxZmNk/SdEk7DKbWgaQP4pFGx9Q4\n",
       "g01xbfNwBsGAtOQQgmBR6UdcZiYwEbg4y7JX2mjPcvjI5P/hzqnKHDzl9bQsy0ppRMvQOjCzy6gT\n",
       "SRSaB0ErhEMISiWJy3wF+N/C6QfxRcdpWZa90EZb3oCvUWTAuoVL1wFH4U5pXr17g2Ak0JRDkLQ9\n",
       "8FYzmyTpjcAKMX0UNKIfcZlvAOe2U1wmz/O1gE8CP8Fz8lT5M/A74G8tpLIIgmFNsxvTtsSjPiYB\n",
       "S+GhcNuValkwpOhHXObrwJ/aJS6TpqY2AT5N3x3M4DtqTwNujMymQbAwzYwQdsU3r9wIYGZzUoKu\n",
       "YIST5/kquLjMz+mguEye56PwHbz74SOTIocBZ2dZdk87bAmCoUwzDuFlM1tQ3W0oafkBygfDmH7E\n",
       "ZY4BTmyXuEzas/BBfARSTG39b9whTc2y7LF22BIEw4VmHMLZko4HVpb0FeCLhKbyiCKJy3wUF5fZ\n",
       "tHBpEp4wrS3iMknucic8bcL6hUs34uGqF2VZNrfevUW6UedA0i7A3WY2Ox1XgIOrOiSFcoOlb/B3\n",
       "M9s/XdsKz5X0Fnx39qPAd8zstjRl/CU84+ryeHrr71XtDIYXzaS/PkrSh/EvytuA75tZbbbGYJgx\n",
       "gLjM0cDV/YnLDKId4/BF4cNxAZYq5+E7mK9chHDVbtQ52BWYhqfsrt6/EIOob/CO9Hc1PBnd3mb2\n",
       "j3RuOzxt9W3JjmPM7Jh0bQ88C+omZjaYiQSDLqCpKCMzuwTfjh8MY9KGsffg0zCfKly6CvgxrYnL\n",
       "LKoNwjPr7oXP/xf5DXAqvii8OM6oq3QO8Km3nYH3STqM3n/73SUdB6wM7FfIpjoY+ga3pbcHAqdU\n",
       "nUG6dnXNvSpcO0vSx/FF+18SDCuaiTKqNwR/Dk+idbCZ/bOfe8fTm6HyRDM7sk6ZHnxRckngSTPr\n",
       "acryYFAoiMt8Fe8lV6mKy1yQZdlL9e4dRBtG4eme96M3Z0+V7+OLwncN4iO7SufAzHZNKaWnVWUm\n",
       "05rdKDPbOjmVDN9IB4Orb7ARnhSvFWYCb2/xnmAI0MwI4VhcR7Was30vfDh5E97T6al3k6RRuHj5\n",
       "B/GeyQxJU4tzj5JWxr/UHzGzh1Mu96AN5Hn+NrwBLu6afQz4FoMjLjPQ85cBPoAna/tQ4dITuBOY\n",
       "mmVZrW7AYNGNOgf16qxqEM+k7y7kwdI32Kz2uZKuwzO8XmJmX29QXX/pu4MhTDMOYYKZFRcSfy/p\n",
       "ZjM7RNKh/dy3FZ5D5QEASZPxL2JxMerTuOzfwwAxJ1kuaT7+c/j0T5WyxGXqPX9lfKfwYcCGhUs3\n",
       "49M4F5btiBaTsnUOatcNXk5/X6Pvb3Uw9Q1uB7YgyXGmEclu9M0xVcvm+CglGGY04xD+I2lP4Ox0\n",
       "/Ck8TS/0n9J2DXxkUeVhYOuaMusDS0qajvdKjq2N7AgWj4K4zLH0bbDaIi6T5/maeEfgJ/TVFpiG\n",
       "jw4rWZa9XO/eEulGnYO5uMJYMwyWvsHD+P/BdZIuNrNrU/Hl6f1tq6ae3fBR/zeatDUYQjTjED5D\n",
       "0nFNx/8APitpWXxBqhHNRGssifdOPoBHkFwr6R9mttAmohT+VqViZpUm6u8ePE9+OdTkzMzzfCU8\n",
       "auVoYJXCpR8Dp5QpLpPWJDbEG8H/q7n8W3xReEY7IpQa0aU6B5OBEyQdhC8YL2R24f2g6hukDt+R\n",
       "ktZINj0B/KDw3G9I+iy9Yac7mtlTLT4/aANpTbZnke9vRQ+hpYqlbYCJZjY+HR8KLCguLCeRj2XN\n",
       "bGI6PhG4yMz+XFNX6CH0V39FduWVE5fDh/k/pm+MfuniMik6aRtctvHLNZcn4qkr7qRD5Hm+FB4y\n",
       "vRE+3fFolmWDGiFTps5BnWdVCH2DoAkGXQ8hjQT2w39My1TP9zc8TdwArJ/C7B7Be4x715SZAvw6\n",
       "LUAvjU8pHdOk7SOeqrjMiivuB/CfwqXSxWXSZrUd8R7vRwuXnsHXCKZkWfZIGc8ewKZqw78FPr25\n",
       "bp2ilzPIIZNl6RzUEvoGQZk0M2V0Gr4QPB7fqfpZ+i4M18XM5ks6ELgYDzs9ycxmS9o/XT/ezO6U\n",
       "dBGu8rQAOMHM7li0jzIySCGa2+PRQB8DmDt3HLRBXCZNRX0M+C6+IFnlNnxkcmGWZc+V8ewaO5bB\n",
       "G/6N8Wma3fAon3o8hE/jzADuAO7KsqwUrd8ydA7qPCP0DYLSGHDKKEUUvVPSLSmmekngKjOrXSAu\n",
       "jZE+ZZTm5d+Nr9l8rnDpRiDffvsfTt1xx/ml/Pvkef4WfFH4cHyDVJUL8LDiK8paFE4N/9vxHv+7\n",
       "8YZ/XIPiD+IN/w145MzdZe+fCIJupwwJzWpagOckbYInD3vjohgXtEYDcZn7gUOB86viMpXKxMF+\n",
       "7tvxKb7aik/AwxavG8xF4ZSortjw747n1anHP/GGfya9DX+7o5SCYFjSjEP4vaRV8F2rU/Et/t8v\n",
       "1aoRTJ7n6+IpnIsROs/hUo/nZFn2bAnPXAJviD8P/E/N5R/guW5mL+56RJKtfDs+1bMVPse/eoPi\n",
       "99Lb8N+BN/xtk9gMgpFIvw5B0hJ4TpengSuBddpi1TAnLX6+K8uyq9Nxf+Iyk8tI45wib3YADsBT\n",
       "KlR5Hl8jmJJl2cOLWPfyeOjpRnj00W7AmxoUvxtv+G/CG/57ouEPgs7Qr0NIOgjfxnuIwSCQ5/l7\n",
       "gTOApfM8/x6e46aYxfP/gD9kWbbQxqNBePYYPCLoUDx/UZXZ+KLwBa3IWyZthGrD/x684W+UfmQ2\n",
       "3vDPwqd67g3pyiDoLpqZMrpU0jdxp/C6IHqzed4DJ0XoHIvPj1cdwO/T39LEZfI8Xx1fFP4RfRvr\n",
       "S5M9lw+0+Jrn+Yp4w78xrky2G55Cuh63Aefi6SjuAO4bbg2/pK8Dx5vZi4Vzl+GbAd9AQTNhUeqT\n",
       "NM/MVqhT7n+BZ1rdzZ/2LSxf3SMh6V3AUWa2Q52yr+FRf8JTZhxY2MEcDHOacQh74bsVD6g5H9NH\n",
       "TfLEhk+ALwYvR6/Qu+HJy3Yf7L0CKXHdHsAPay6dnF7/qBeamkYQG6XXtvgc/0oNHjMLb/hvobfh\n",
       "nz8oH6D7+Roejl1twHcE7jKzuZLesLj10XiX/yR8D8WipHd5o6TxZnbRAOX+U8jg+mE85UjPIjwv\n",
       "GII0I5CzdhvsGLbkeb4newLeo34Vzyj6GJ5HZtZgOAMzked5dVG41nH/GN+odnv1WXmer5TnebXh\n",
       "3x4XoGmU2+cmXIzmFnyq5/5ub/gl7QMcjDest5jZPvV0CMzsIUmn4D36v6R755nZCikFwMRU9h3A\n",
       "jWb22dRLfwswXdITZvYBPEnjWQUTRkv6I7457nZgHzN7UdIHgKPw390MfAH/v+vUh6Qf4TvPXwR2\n",
       "MbPHk8N5StLGZnZ7C/8kBvwM3zA4kEMoshLwdLJnBfx7MBZPOfM9M5sqKQeeNrNjU7kfA4+Z2S9T\n",
       "eo7d8U7QuWY2US7Bexae62wU8EMzO6v2wUFnaGYfwvJ4hMt/mdmXJa0PbGBm57fDwGRDqfsQpKby\n",
       "Li0SSy31MuesdBk3HHDDWOC5wRoNpEXh9+M6Bp8oXHoB/+Gfiy8Qb4RP9bwPb/iXoz434DvHqz3+\n",
       "+8va4FYmkjbGR17vMbOnJa1sZs9KmgacVdAhmJB0CCbhugZVhzDXzFZMDuE8/N/vUeBqPP/PNZLu\n",
       "B7asTptKmg1sl563Nh4au52ZXSvpJPzf8zf4AvqOZnavpFOBmebSm7X1LQB2NrO/SjoSeN7Mfpyu\n",
       "5cC/rSD/2cS/yXTgm3iq7R/iifR+1mDKaD6er2gZPInejmY2M2UTWC45pVWBa81sfUlrAeeY2ZYp\n",
       "COVuPGLt3cBuZrZ/Oj8lPf+NwHgz+0p63hgz6+YMt0OaMvYhTMI3QG2bjh8B/gy0zSGUjVlLUoct\n",
       "sjQVLW+DES6a5vLH45lKt6yeX2aZp3nppVV+BDyFh3P+BF+srsd1ePjwrXhD9cBQbPj7YUe84X8a\n",
       "wMyq/+54fpG7AAAdSUlEQVT96RA04nozewR8gyauQXBNnXJvqVlTe6gw7/5HfB/JpcD9ZlZNLHgq\n",
       "Ppo7tk59r5jZX9P7G+mrF/EI9dNxNMOP8PDxQ/op82Jhymgb4A/4CGkJ4CeStsezCrxFLuP5YBq1\n",
       "vBMPIZ5pZs+k6aYPyxXlwBPjvRVPAni0pCNwR3wVQdfQjENYz8z2kLQXgJm9IA3ZTcNDjjzPVwMm\n",
       "4D/mYujmY/j0x+iXXloF/Ide5Fq8V3Z7ej3YyQyjbaQ/LeN65+eT0oKnnuxShWvFDW+1mgQD2VB8\n",
       "Zr1RYaPz4FOLVRYwgBZC6r3fkA6nVJNF1tpkZtPTVNQ2jU3vc8M/JK0q6Y24jsWqwBZm9loa1VRz\n",
       "m52IZ21dDZ+Wq/ITM/s9NUjaPNX3I0mXm1ntWlfQIZr5gr+cEtwBIGk9+v5QghbJ83zV/sRo0nrA\n",
       "l1k4c2iR1dLfq9ZZ59L33n//hz6O9/j/NUIa/kZcAZwr6Zg0hTPWzJ6hsQ7BA/ho62zc8S7ZxDOq\n",
       "2gXVUcEjkt5QSAn9X5K2Mdcp/jTwd+AuYG1J65nZfXgKkisb1Ncfb042v46ZvYZncW2GH+HZbwdM\n",
       "gS7p7bizfCrZ93hyBjvQN3fUufhU1Ch6E1heDPxQ0umpE7kGnvVgNB4pdbqk5/DEmUGX0IxDmIgv\n",
       "RK0p6QxgOzzNcdAiSSzm+8AX0o7kV/D5/Y3wUM4daNy7vRKfprsdb/gfqjb8lcpE22efqy4o2fwh\n",
       "gZndkRY2r0whlDOBL9JYh+AEYEqaEroImFesrsFjfg9cJGlOWgSuaiFcnK7fBRwgVzC7Hfitmb2c\n",
       "1i7OljQaVxz7XYP6ajUXarUQvtnCP0kfzOxCSa9nSpX0Fjyp5MfTqWUL0zwCPp/2I50OTJN0Cz4a\n",
       "mV2o81VJV+ANvaVzl0raENc4AXd6n8OnjY5K6ySvsPDO+KCDNKWHkBaRqsPM68zsiVKtWvj5Qzq5\n",
       "3YVnj7MHnnw3Tz65EQsWLIF3pBqxgFVWuZs3vnE2K698P0sv/TxNzNA909NjqwxYapiRUmG8DU+H\n",
       "8Q78O7p7K5vrBoO0AL2nmZXauEkaA1xubdBcaIU01XYj8Kk0+gm6hEFfVE7RGWfic5MvDFQ+6CUl\n",
       "iTvMO6j96pL/Cx85/DXL8lCiKpAyvb4Fb/Q3wCOrdqJxtNTquCZD2zCziqTvSVrRzOaW+KgvUH8R\n",
       "umNI2giXQz0nnMHQp5mw0x488+XH8NjpyXh0QNtSC5cedlqplBJ2uvKLL7LKiy9y8L9P54knNn0V\n",
       "d8DFz7E3MDXLsv/Ur2HkkDKerk9v8rsJwDv7ueVGfArtNnyK5t6ydA6CYKjSatvZtIRmmvfcAV/o\n",
       "HG9mzQqCLzZDdcooz/N34gt4W6VThs+bvojPqe6ZZdmISQuQevur09vb3w5v+Bt9l+bijX51UfZO\n",
       "XP6yPH3qIBhGlLEPoSqjOQFPh7AFHkM9bFCuUhqYN/Em5jOfM9/zMtde+60VgP+MhMYsCdu8ld7e\n",
       "/k74omsjbsH3RtyGN/r3xKgpCNpPM1NGZ+Faxxfh00VXmllbwxqH6gihSqUi6+kZuvbXI/X230Rv\n",
       "b39bPI12o8Xt/+AqaxV6e/tzRoKDDIJOUcYI4WRg7xTrjKTtJe1lZrU5c4JhSEqR8Va80d8YX0t6\n",
       "Tz+33IH39m/BG/27q8puQRB0N80kt7tI0haS9sanjO7H89oHw4TU21+V3t7+1njK7EZSqa/gvf0r\n",
       "6O3tPzzCN8QFwZCnoUOQtAEeBbMnnvHxbHyKqac9pgWDTZ7nSwLr4Y3+hnhvf/t+brkbT38xi97e\n",
       "fplhlQ2RtBLw6WJSN0lH4YI/FwD34ambT6u5b20K+gSSzsQ3Ap6cEsv9DI+aqwy2fQ3KLY3nNepp\n",
       "ZepV0nL4JrpN8Ei1Z/DPfj6eIuKSQtmv4/szjsQ7cD82s++na6viyfp+Z2YHNf8Jg5FAfyOE2fiX\n",
       "7SNm9i8ASf+vLVYFi0We52/AG/234xFOE/CUB/V4DV8fugxv9O+kO9NfjMUzuxYb3C8DY63JUDlJ\n",
       "qwPvMrP10/GKwPvMbJF3/g5g30KkHct/xxPtndNC/V8DHjWzzwCkrMOv4up7ewGXFMruCXwrvb8f\n",
       "d/xVHfTd8cX7WLsJFqI/h/BJfITwN0kXkUYIbbEqGJA8z0fjWS+rvf3xeFhwI+7D5/Zvore3/1zZ\n",
       "dg4iRwDrpbQKl+KfewVgpqSf4L3+uWZ2tKQt8bUvS2WrXAKskeo4CM9eeln1oqQH8Ab2o7ij/Ep6\n",
       "7rq4wtjxqdxCef5r7LsE+AE+uuqjH5AeNRVPP9GKQ1gdeF1W1czuSbb8BU8SN9rM5qcR0VvM7Kr0\n",
       "/j/AbElbmtmN+LTvWfhmvyDoQ0OHYGbnAefJhTF2Ab6Bqy79Fv8RXNLo3iqSxuNpmEcBJ5rZkTXX\n",
       "e/AfzT/Tqb+Y2Y8W5YMMV/I8H0tvb39LvGe5Zj+3XIw3SNXe/oPDJL31IcDG1dTM8Lp2QTVVc0Zv\n",
       "r3cS8NXUKBbTXO+MTw9V7/kMfR2GAQ+a2eaSjgFOwRfQl8V71centM5vNbOtqnn+U0roPvalDKS7\n",
       "FvUDcEcALi+6La1xMnCJpE/hqmmnmtm9KYHf9fgoYCo+WqjVQJ8M7CXpMdzRPUI4hKAOzSwqzwNO\n",
       "B06XtAouq/gd+g5RFyL9IH4NfBCYA8yQNNXManWDrzSzCYti/FAjz/Ml8JHXylmWnVg4Pwrvrb49\n",
       "vT5C3xz4tTyI//hvxBv9uwZDb6HLaWp0mubyVyrk2T8N7/HXq2MtfD69SLXRvhXXIX4BeEHSy6nu\n",
       "Rnn+H6qpp5F+wONp2mgJScs0u+PfzGZJWjc9/4P47+k9ZnYnnlpmr2T7nniulCIX41lOH2NhZxEE\n",
       "r9NsfncAkgjI7+kVh++PrYB7zewBAEmT8ZFGrUMY9tNQZpDn+SeAo4FxwL15nr8D//dYu59bL8d/\n",
       "zLPxhv+Bbpev7EIG+n7VJpmqpnavZuOkcFz9vSyU5z9NzxT5DI31A6p21eoafBVfFzHgY2b27+L1\n",
       "5JzOxdN7L8BHBXfijuDnSWdgOTO7qea+VyXdiCsfbkRfhb0geJ2WHEKLrEHfXtPDeDhjEQO2lTQL\n",
       "H0V808zuKNGmtpLCOXdadtmDwHtx1QZhw/QC/9xT8JTC1d5+M3nxRxpzaaz7XEVm9pykZyVtZ2ZX\n",
       "4w1zIx7E5+br1lXnnNE4z3+tfQ31A1Kk0Wtm1kdXxMyOA46ra4y0LTDbXI1sKbxhn57umyeXyZyE\n",
       "r4HU42igYi4n2qBIMNIp0yE0E8UwExhnZv+R9FFcw/Zt9QpKmlg4rCxumGCRispJbvfONd/JY5s9\n",
       "xvM9j4JHhCwBvIQvhq4Qydiax8yeknS1pFuBC8zsEBb+jlWP9wVOlmT41GatvkCVqo7BX+pcq9Uh\n",
       "aJTnfx7wGTO7v2gfLtFZVz8AF7NpNYfVesBv5Q9dAl8LKS5Kn4kvUu9Rc1/V7jvwTYP1PlswTEjr\n",
       "sj2LfH+zye1artj1WCea2fh0fCiwoHZhueaePmLjhfPDInVFnuer0js6mJxlWYiL1yGtqayD94I3\n",
       "BXYFTsiy7Hf93tgiKWBierv1BSQdDswws3Pb+dxg5FFKcrtF5AZg/TS3+gi+2LV3sYCk1fBhtUna\n",
       "CndQw3a6JMlm/j29Rjyp4V8XT4lRbfgbpbwe9KiY6lSLpB3MbPpg11+PNF30XuCwdjwvCFqhNIeQ\n",
       "YqIPxOdcRwEnmdlsSfun68fjEUv/I2k+Hi+9V1n2BJ0j7ZlYj94e/yfT33o8i0/hXINPcdxR5kjK\n",
       "zL5dVt0Nnvcy8L52PjMImqW0KaPBZLhMGXXajrIppMbYCNgM14neuEHxp/A572tx3eHZnUqLEQTD\n",
       "lW6aMgqGKanhfyve2G+Gj/Te3qD4k3iP/1q8xz87y7J5DcoGQdBBwiEEDUmpr9fHe/yb4w3/+g2K\n",
       "Pwb8Gbge7/HfGWmvg2BoEQ4hIM/zpfGGfmN6G/71GhR/BJ/qKTb8oW4WBMOAcAgjiNTwvw1v+LfA\n",
       "G/51GhSfg/f4Z+BTPXfGvokgGN6EQxiGJE3jDfCpnnfhDf9/NSj+L3yO/wa8x393Jxp+SfPMbIU6\n",
       "50/B9Qz6FWVKugbTzOzKlLV0i2ZDmCXtAtxdzbMlqQIcnLKDFsttCnzNzPZrpt7CfROBL+G6Isvj\n",
       "eZK+V5vXS9J38Syq4FFYt6T3J5nZr1t5ZhAsCuEQhjB5ni9Lr7Tlu/GGf40GxatKdzfiPf67syxr\n",
       "KrFam2gU7jbgrto6ugZGazmydgWm0bubuO7zzOwWSetVk9S1UL8Bx5jZMcnePYArJG1iZk8W6j8c\n",
       "ODyVeT2Ta5W0S5lm9R+CoFXCIQwB8jxfDo/i2QhPGrgbjTdq3Yc3/DPpbfhfblC260iN3q/wjJ4P\n",
       "UUgwJ+n/gJ3wdNTXmNn+6dIuFHQNEt9O6VBexJXM7kubJE8G3oD31vfFkw3uDLxP0mG4UwXYXdJx\n",
       "wMrAfoXsqRfivfjftPrRqm/M7CxJHwc+Dfyy35vc5ouBf+Dpzz8maU8W1mNA0mdxnYelgOtwwR4B\n",
       "J6V7DVeK+0WLtgcjhHAIbSbP802A2+spkuV5vjy9Df/WeOO0WoOq7sEb/pvwqZ57six7pUHZocSu\n",
       "+DrHhnjiuTvwBg3gV2b2AwBJf5C0k5mdD2xHX10DgGfNbFNJn8M1OXbGHc0kMztN0r7AL81sV0lT\n",
       "8emmc1LdAKPMbOvkVDJ605FfD/w3rTuEWmbSOFS3lrcCnzOz6/vRY3gSz2O0bUqo9xs8sd/tuGBO\n",
       "VUJ0pcW0OxjGhENoE3merw4chfcK35kWeDcGtsEb/lUb3HoXvrh7M9443pNl2avlW9wx3geckaZF\n",
       "HpV0ReHajkmtbDlgFVy05nzq6xqcmf5OBn6e3m9Db+rnP+IJ6KrUTjFVE8fNpG+K8kfpP2V5s9Sm\n",
       "3e6PB83s+vS+kR7DZvgo4Ibk0JbFQ4GnAetK+iXwVwbQMQlGNuEQSibP82XXWuv94FM5o/GG4JY6\n",
       "Re/Ae/yz0vt7h3nD34i68/+SlsF75Vua2ZykkFbUF+ivgS3OuTdaW6idl69Os71G39/JQjoGyb6T\n",
       "8ZDdOWa2Uz+2VNkcH200Q+1+jnp6DAfiKmrfrWPbprjE6n/jo4iWFsWDkUM4hBLJ83xj4OwHH9wB\n",
       "vMEajTcmFVxN7nbgvhC96cPfgP0lnYpPl+2AK/ZVG/+nUpbS3XFtYFhY10B4MsUj099r0vlr8HxZ\n",
       "f8SnU/6Wzs/F9Qua4c0UtI2rmFmtSllDJO2Gr5F8o9l7CjTSY7gcnz76uZk9kdQNV8Cdyatmdo6k\n",
       "u3EFuSCoSzgEAM+bP+hkwAKJi85fhRkzDvo8PqTfDpiZZVkrAusjgWre/nMl7YiPkv5FasyTsMsJ\n",
       "+DTRv/FF0yr1dA3GJuGll+jNsnsQMClNOz2OLyqDTyudIOkgesM+F7ItsRW9jqQVvpEWfathpzua\n",
       "2VMAknLgBjOb1uCZr7+vo8cwF/hsShz5PVx3eQlcf+Or+OeflM6By98GQV0iuV0bGCnJ7ZolrZ9s\n",
       "ize+7wc2qbfI3izt1DVIexT2aDHsNAg6QiS3C7qOJCW6AS52/x3gTYXLc/EF4ifr3NoU7dI1SHPx\n",
       "94YzCIYr4RCCUsjzfBXgA7ho/IdqLv8Z+ANQGayU1+3QNTCzW/Adx0EwLAmHEAwKKSX21rj4Te1i\n",
       "6d3AMcAlWZbd327bgiBojnAIwSKT5/l6wEeAQ1g4V9JPgfOAGRFFFQRDg3AIQdPkeb4SsCPwBWBC\n",
       "zeXzgUnAFVmWPdtm04IgGATCIQQNyfN8FJ40bwJwaM3lh/E4/4vxTXTdH64WBEG/hEMI+pDn+Vr4\n",
       "NNDBeE6hIr8kyWGO0F3UQTCsCYcwwsnzfAWgB/gcntagyBXA74HLsix7qs2mBUHQZsIhjDDyPF8C\n",
       "z6OzE/B9YFTh8hPAEXiK5ztjGigIRhbhEEYAeZ6vge8F+DqeFbPI74CzgauHkm5CEASDT6kOQdJ4\n",
       "PBf9KOBEMzuyQbl3A9fiKQEix89ikgR1tsdTbe9Tc/ka4Dh8GuixdtsWBEH3UppDkDQKz+j5QVyw\n",
       "fYakqXV0ZEfh0SoX0ZrsYZBIqSE2AT4OHIYnUKsyF5dlvAC4NaaBgiBoRJkjhK3wvC8PAEiajEsd\n",
       "zq4pdxCeyqD0xGTDiTzPV8OngQ7AhV+KnIoLxPwty7IX221bEARDkzIdwhq4Jm6Vh/HUBq+Tcrnv\n",
       "gm92ejcDiKmPZPI8XwZPnb07sH/N5ZuBY4FLsyyb027bgiAYHpTpEJpp3H8BfMfMLImrN5wykjSx\n",
       "cFgxs8rimdfdpGmgDfEMoYfiwvBVXgV+jMsj3rw4qaODIBg+SOrBw8gXiTIdwhxgXOF4HD5KKLIl\n",
       "MDkJfawKfFTSq2Y2tbYyM5tYkp1dQ57nq+IZQvfHlcKK/AlXu7oyy7J57bYtCILuJ3WUK9XjJDXb\n",
       "NGU6hBuA9SWtDTyCSxnuXSxgZutW30uaBEyr5wyGC2kX8Ngsy25Ox0vh8/+fwtdSiszGxeEvybJs\n",
       "IcnGIAiCwaZUxTRJH6U37PQkM/uJpP0BzOz4mrJVh7BQ2OlwUEy78sqJO+EawOfjko+H4OssRQ4H\n",
       "pgI3ZFn2WnutDIJguNFq2xkSmiWT5/noNda45tU5c7Z9EVi25vIU4BRgepZlz7XduCAIhjXhELqI\n",
       "PM/fjM/9bw+8CCyFj5Z6siy7spO2BUEw/AlN5UWgUlEpXnH77ZfglVfG8NJLK8+dNesL/4OLyKwH\n",
       "hGBMEARdR4wQgiAIhimttp1LlGlMEARBMHQIhxAEQRAA4RCCIAiCRDiEIAiCAAiHEARBECTCIQRB\n",
       "EARAOIQgCIIgEQ4hCIIgAMIhBEEQBIlwCEEQBAEQDiEIgiBIhEMIgiAIgHAIQRAEQSIcQhAEQQCE\n",
       "QwiCIAgS4RCCIAgCIBxCEARBkAiHEARBEADhEIIgCIJEqQ5B0nhJd0q6R9Ihda7vImmWpJsk3Shp\n",
       "xzLtCYIgCBpTmkOQNAr4NTAe2AjYW9KGNcUuM7PNzGxz4AvA78uyp5NI6um0DYvDULZ/KNsOYX+n\n",
       "Ger2t0qZI4StgHvN7AEzexWYDOxSLGBmLxQOVwCeLNGeTtLTaQMWk55OG7AY9HTagMWkp9MGLCY9\n",
       "nTZgMenptAHtpEyHsAbwUOH44XSuD5I+IWk2cCHwvyXaEwRBEPRDmQ7Bmipkdp6ZbQjsDJxWoj1B\n",
       "EARBP8isqXa79YqlbYCJZjY+HR8KLDCzI/u55z5gKzN7quZ8OUYGQRAMc8xMzZYdXaIdNwDrS1ob\n",
       "eATYE9i7WEDSesA/zcwkbQFQ6wzSuaY/UBAEQbBolOYQzGy+pAOBi4FRwElmNlvS/un68cBuwD6S\n",
       "XgXmAXuVZU8QBEHQP6VNGQVBEARDi67eqTzQxrZuRtI4SdMl3S7pNklDMoJK0qi0cXBap21pFUkr\n",
       "S/qzpNmS7kjrWkMGSYem78+tks6QtHSnbeoPSSdLekzSrYVzq0i6VNLdki6RtHInbeyPBvYflb4/\n",
       "sySdI2mlTtrYiHq2F64dLGmBpFUGqqdrHUKTG9u6mVeBb5jZxsA2wAFDzP4qXwPuoMmosS7jWOCC\n",
       "FMW2KTC7w/Y0TVp7+zKwhZltgk+7dvuU6iT891rkO8ClZvY24PJ03K3Us/8SYGMz2wy4Gzi07VY1\n",
       "Rz3bkTQO+BDwYDOVdK1DoImNbd2Mmf3bzG5O7+fhjdFbOmtVa0haE/gYcCIwpBb2U09uezM7GXxN\n",
       "y8ye67BZrfA83qlYTtJoYDlgTmdN6h8z+zvwTM3pCcCp6f2pwCfaalQL1LPfzC41swXp8DpgzbYb\n",
       "1gQN/u0BjgG+3Ww93ewQmtrYNhRIvb3N8S/UUOLnwLeABQMV7ELWAZ6QNEnSTEknSFqu00Y1i5k9\n",
       "DRwN/AuP0nvWzC7rrFWLxGpm9lh6/xiwWieNWUy+CFzQaSOaRdIuwMNmdkuz93SzQxiKUxQLIWkF\n",
       "4M/A19JIYUggaSfgcTO7iSE2OkiMBrYAjjOzLYAX6O7pij6kkOyvA2vjI8sVJH2mo0YtJuYRLEPy\n",
       "dy3pMOAVMzuj07Y0Q+r8fBfIiqcHuq+bHcIcYFzheBw+ShgySFoS+AvwRzM7r9P2tMi2wARJ9wNn\n",
       "AjtK+kOHbWqFh/He0Yx0/GfcQQwV3gVcY2ZPmdl84Bz8/2So8Zik1QEkvRl4vMP2tIykL+BTp0PJ\n",
       "Ia+HdyZmpd/wmsCNkt7U303d7BBe39gmaSl8Y9vUDtvUNJIEnATcYWa/6LQ9rWJm3zWzcWa2Dr6Y\n",
       "eYWZ7dNpu5rFzP4NPCTpbenUB4HbO2hSq9wJbCNp2fRd+iC+uD/UmAp8Pr3/PDCkOkaSxuPTpruY\n",
       "2UudtqdZzOxWM1vNzNZJv+GH8QCFfh1y1zqE1Cuqbmy7A/iTmQ2ZKBFgO+CzwA4pbPOm9OUaqgzF\n",
       "of5BwOmSZuFRRod32J6mMbNZwB/wjlF1Drir08NLOhO4BthA0kOS9gWOAD4k6W5gx3TcldSx/4vA\n",
       "r/BMzJem3/BxHTWyAQXb31b4ty/S1O83NqYFQRAEQBePEIIgCIL2Eg4hCIIgAMIhBEEQBIlwCEEQ\n",
       "BAEQDiEIgiBIhEMIgiAIgHAIQReQUvP+rHD8TUlZf/e0UPcpknYbjLoGeM7uKcX25WU/KwjKIhxC\n",
       "0A28Auwq6Q3peDA3xyxyXSnLaLPsB3zJzD6wqM8Lgk4TDiHoBl7Fd+F+o/ZCbQ9f0rz0t0fSlZLO\n",
       "k3SfpCMkfU7S9ZJukbRuoZoPSpoh6S5JH0/3j0riJ9cn8ZOvFOr9u6Qp1El1IWnvVP+tko5I5/4P\n",
       "35l+sqSf1pSXpOOSyMolkv5a/TySHqiKlkh6l6Tp6f3ySfDkupSpdUI6v3E6d1Oyeb1U9q+Sbk42\n",
       "7ZHKbimpIukGSRcV8gn9r1x0Z1ba3RoEr1OapnIQtMhxwC21DSoL9/CLx5sCb8fzwN8PnGBmW8nV\n",
       "6Q7CHYyAtczs3ZLeCkxPfz+Pp5TeSq5EdpWkS1K9m+OiKH1ERSS9BU+9sAXwLHCJpF3M7AeSdgAO\n",
       "NrOZNfbulp6/oaTVcF2Mkxp8tiqHAZeb2RflCmPXSboM2B841szOSKOX0cDHgTlmVnV0Y1JSxV8B\n",
       "O5vZU5L2BH6Mj2IOAdY2s1cljWnw/GCEEiOEoCsws7l47p5WpEZnmNljZvYKcC+e9wrgNjzTI3ij\n",
       "e1Z6xr3AP3En8mFgH0k3Af8AVgHemu65vtYZJN4NTE8ZSF8DTgfeV7heL73wdoXnPwZMb+JzfRj4\n",
       "TrJtOrA08F/AtcB3JX0bb9RfwvMcfSiNkN5rZs8DGwAbA5elOg6jV0vkFuAMeSrt15qwJRhBxAgh\n",
       "6CZ+AczE5QCrzCd1XCQtASxVuPZy4f2CwvEC+v9uV3vmB5rZpcULknpw7YRG9xUbfdG3l9+ox197\n",
       "T5XXPxuwTM09nzSze2rO3SnpH8BOwAWS9jez6ZI2x0cKP0qL2ucCt5tZvXTZH8ed2M7AYZI2Sc4t\n",
       "CGKEEHQPZvYM3pvej97G9QFgy/R+ArBki9UK2D3N5a8HrIunlr4Y+Gp14VjS2zSwotoM4P2S3iDX\n",
       "/N4LuHKAe64GdkvPXw14f+HaA7juAfjUUpWLKYyUUoOPpHXM7H4z+xUwBdhUrjHwkpmdDvwMn+66\n",
       "C3ijpG3SfUtK2kiSgP8yswouFrQSsPwA9gcjiBghBN1AsWd9NJ72vMoJwBRJNwMXAfMa3FdbnxXe\n",
       "/wu4HhgD7G9mr0g6EZ9WmpkayseBXWvu7Vup2aOSvoNP4wg438ymDfDZ/gJ8AE/h/hA+AqpqO+fA\n",
       "SZKeByqF5/4Q+IWkW/BO2z9xZ7iHpM/hi/CP4usCWwFHSVqQzv93Wh/4FPBLubb0aFwO9W7gtHRO\n",
       "+HrE8wPYH4wgIv11EJSMpOXN7AV5WO11wLYDCZUEQSeIEUIQlM/5KVpoKeAH4QyCbiVGCEEQBAEQ\n",
       "i8pBEARBIhxCEARBAIRDCIIgCBLhEIIgCAIgHEIQBEGQCIcQBEEQAPD/AesaPymK3jHrAAAAAElF\n",
       "TkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a7f3250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rm = np.mean(r, axis=0)\n",
    "for i in range(6):\n",
    "    plt.step(range(1, r.shape[2]+1), rm[i], where='post')\n",
    "i = 0\n",
    "sortinds = rm.mean(axis=1).argsort()\n",
    "for a, c in zip(rm[sortinds], np.array(clfs)[sortinds]):\n",
    "    tx = 5+i*0.4\n",
    "    ty = 0.45 +i*0.05\n",
    "    text = c.name\n",
    "    props = dict(color='gray', shrink=0.0, frac=0.05, width=0.5, headwidth=3)\n",
    "    plt.annotate(text, xy = (2, a[0]), xytext=(tx, ty), arrowprops = props)\n",
    "    i+=1\n",
    "plt.xlim((0, 14))\n",
    "plt.ylabel('Average accuracy')\n",
    "plt.xlabel('Number of guesses')\n",
    "plt.savefig('classifier-n-guesses-avg.pdf'.format(i+1), bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEPCAYAAABCyrPIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAH4hJREFUeJzt3XuYXWV99vHvTYJFQBQUUSEYEBGkgKBGilXDoRoViUcg\n",
       "nmqhLa1FtLUKYt9O4vtatfYAYm1TRLRWoFZKBasEpIxarYRDTEBChAKaRArKQYKoEHK/f6xnk81m\n",
       "z8zak1mz98zcn+uaa/az9jr8JpnZv/Uc1vPINhEREVv1O4CIiBgMSQgREQEkIURERJGEEBERQBJC\n",
       "REQUSQgREQE0nBAkfUbSHZKuG2WfT0i6SdJKSQc1GU9ERIys6RrCOcCCkd6U9CpgL9vPBn4f+PuG\n",
       "44mIiBE0mhBsfwu4Z5RdjgY+V/a9EniSpF2ajCkiIrrrdx/CrsDatvI6YLc+xRIRMaP1OyEAqKOc\n",
       "uTQiIvpgdp+vvx6Y01berWx7FElJEhER42C786Z7RP1OCBcBJwHnSzoEuNf2Hd127OWHGjSSFtte\n",
       "3O84xmsqxz+VY4fE32/TIP6ebqYbTQiSzgNeBjxF0lpgCNgawPZS21+V9CpJNwM/B36nyXgiIgaJ\n",
       "xN3Ajv2Oo6XRhGB7UY19TmoyhoiIAbaj/Zh+1Akj9dYnOwidyjPBcL8D2ELD/Q5gCwz3O4AtNNzv\n",
       "ALbQcL8D2DKX/YmEm/pi9GH5k05TYYEcSZ7KfQgRMTVJuMk7+Kb1+tnZ707liIhxm4Q2+IG6g29a\n",
       "EkJETGWNtsHPNEkIEdGY3MFPLUkIEdGk3MFPIRllFBERQBJCREQUaTKKmMHSxh/tkhAiZra08ccj\n",
       "0mQUERFAEkJERBRJCBERASQhREREkYQQERFARhlFDLQMC43JlIQQMdgyLDQmTZqMIiICSEKIiIgi\n",
       "CSEiIoAkhIiIKJIQIiICyCijiC2SYaExnSQhRGyZDAuNaSNNRhERASQhREREkYQQERFAEkJERBSN\n",
       "JgRJCyTdKOkmSad0eX9HSRdKWinpSkn7NRlPRESMrLGEIGkW8ElgAfBcYJGkfTt2Ow241vaBwNuB\n",
       "M5qKJyIiRtdkDWEecLPt22w/BJwPLOzYZ1/gCgDba4C5knZuMKaYYSTulnBTX+Q5gZhGmkwIuwJr\n",
       "28rryrZ2K4HXA0iaBzwT2K3BmGLm2dFGDX7t1O8fMGKiNJkQXGOfjwJPkrQCOAlYATzcYEwRETGC\n",
       "Jp9UXg/MaSvPoaolPML2BuD4VlnSrcAt3U4maXFbcdj28EQFGhExHUiaD8wf9/F2nRv5cZxYmg2s\n",
       "AY4AfgwsBxbZXt22zxOBX9h+UNLvAS+2/Y4u57LtTA8QPZNwppaImarXz87Gagi2N0o6CVgGzALO\n",
       "tr1a0onl/aVUo48+K8nA9cAJTcUTERGja6yGMJFSQ4jxSg0hZrJePzvzpHJERABJCBERUSQhREQE\n",
       "kIQQERFFEkJERABJCBERUWRN5ei7hheqz+RzETUlIcQgyEL1EQMgTUYREQEkIURERJGEEBERQBJC\n",
       "REQUSQgREQEkIURERJGEEBERQI2EIGkvSduU14dJOlnSk5oPLSIiJlOdGsIFwEZJewFLqdZGPrfR\n",
       "qCIiYtLVSQibbG8EXg+caft9wNObDSsiIiZbnYTwoKQ3A28HvlK2bd1cSBER0Q91EsLxwCHAh23f\n",
       "KmkP4PPNhhUREZNNtsfeSdoW2N32jc2H1PX6PS0UHVOLhDO5XcTE6/Wzs84oo6OBFcAlpXyQpIvG\n",
       "H2JERAyiOk1Gi4EXUeaVt70C2LPBmCIiog/qJISHbN/bsW1TE8FERET/1Fkg5/uS3gLMlvRs4GTg\n",
       "O82GFRERk61ODeFdwH7Ar4DzgPuA9zQZVAwWibsl3NQXWeYyYiDUGmX0yM7SLGB72z9rLqSu180o\n",
       "oz7KKKCIqamJUUbnSdpB0nbAdcANkt6/JUFGRMTgqdNk9Fzb9wGvBb4GzAXe1mRQEREx+eokhNmS\n",
       "tqZKCBfbfgio1c4kaYGkGyXdJOmULu8/RdIlkr4n6XpJ7+gp+oiImDB1EsJS4DZge+CbkuYCY/Yh\n",
       "lP6GTwILgOcCiyTt27HbScAK288D5gN/LanOyKeIiJhgYyYE25+wvavtV9reBPwQOKzGuecBN9u+\n",
       "rdQqzgcWduxzO7BDeb0DcFeZWTUiIiZZnU7ld5dOZUk6G7gWOKLGuXcF1raV15Vt7c4C9pP0Y2Al\n",
       "8O56YUdExESr0zxzgu0zJL0C2ImqQ/nzwLIxjqvTz3Aa8D3b8yU9C7hM0oG2N3TuKGlxW3HY9nCN\n",
       "80dEzBiS5lM1v49LnYTQGsP6auDztq+Xag1rXU+1ulrLHKpaQrtDgQ8D2P4fSbcCzwGu7jyZ7cV1\n",
       "LhoRMVOVG+XhVlnSUC/H1+lUvkbSpcCrgEsk7UC9uYyuBp4taa6kxwHHAp2zpN4IHAkgaReqZHBL\n",
       "3eAjImLijPmkchktdCBwi+17JT0Z2NX2qjFPLr0SOB2YBZxt+yOSTgSwvVTSU4BzgN2pktNHbD9m\n",
       "veY8qdxfeVI5Ymrq9bOzTkLYCngLsIftD0naHXia7eVbFmp9SQj9lYQQMTVN+NQVwKeoltB8cynf\n",
       "X7ZFRMQ0UqdT+UW2D5K0AsD23eXJ5YiImEbq1BAeLP0IAEjamSyQExEx7dRJCGcCFwJPlfQXwLeB\n",
       "jzQaVURETLpa6yGUOYhaTydfbnt1o1E99vrpVO6jdCpHTE1NjDLavfWyfDeA7R+NK8JxSELorySE\n",
       "iKmp18/OOp3KX2XzNBTbAHsAa6iW1YyIiGlizIRg+9fby5IOBv6osYgiIqIv6nQqP4rta4EXNRBL\n",
       "RET00Zg1BEnvbStuBRxMNXFdRERMI3X6EJ7A5j6EjcBXgAsaiygiIvqi1rDTfssoo9FJ3A3s2OAl\n",
       "7rHZqcHzR0QDJnyUkaSLqWoI7cNO7wOuApba/uV4Ao0JtWOGhUbElqrTqXwr1YR2/0i15OWG8rV3\n",
       "KUdExDRQ58G0q22/oNs2Sd+33fjzCGkyGl0eHIuIbpqY/no7Sc9su8Azge1K8cEe44uIiAFVZ5TR\n",
       "e4FvSWotbbkn8E5J2wGfayyyiIiYVHUnt9sG2IeqQ/kHtn/RdGAd10+T0SjSZBQR3Uz45HaDIAlh\n",
       "dEkIEdFNE30IERExAyQhREQEMEqncts6CF1N5noIERHRvNFGGbWvg9Bu5/I1q8t7ERExRY2YELqs\n",
       "gzAXOBU4Evhwo1FFRMSkG7MPQdLekj4LXAJcA+xr+8ymA4uIiMk1Wh/C/sAHqZbK/EvgBNsPT1Zg\n",
       "ERExuUZ8DkHSw8A6qvUPNnW8bdsnNxxbeyx5DmEUeQ4hIrqZyOmvTyjfOzOGumyLiIgprtEnlSUt\n",
       "AE6nGpH0adsf63j/T4G3lOJsYF/gKbbv7dgvNYRRpIYQEd0MzNQVkmYBa6hGJa2nWlBnke3VI+x/\n",
       "FPAe20d2eS8JYRRJCBHRzSBNXTEPuNn2bbYfAs4HFo6y/5uB8xqMJyIiRjFiQpD0sfL9mHGee1dg\n",
       "bVt5XdnW7VrbAq8ALhjntSIiYguN1qn8akmnAh8AvjiOc/fSFvUa4L86+w7aSVrcVhy2PTyOmCIi\n",
       "pi1J84H54z1+tITwNeAeYHtJGzres+0dxjj3emBOW3kOVS2hm+MYo7nI9uIxrhcRMaOVG+XhVlnS\n",
       "UC/H11lT+SLbR/camKTZVJ3KRwA/BpbTpVNZ0hOBW4DdRlp4J53Ko0unckR0M5HPIQBg+2hJuwAv\n",
       "LJuW276zxnEbJZ0ELKMadnq27dWSTizvLy27vhZYNtmrsEVExKPVqSEcA3wc+AbVQ2kvAd5n+1+b\n",
       "D++RGFJDGEVqCBHRzYQ/hyBpFXBkq1YgaWfgctsHbFGkPUhCGF0SQkR008RzCAJ+0la+q2yLiIhp\n",
       "ZMw+BKppr5dJOpcqERxLNQIpIiKmkVpTV0h6A/DiUvyW7Qsbjeqx10+T0SjSZBQR3QzMXEYTKQlh\n",
       "dEkIEdHNIM1lFBERU0gSQkREAPXWVD5aUhJHRMQ0V+eD/ljgZkl/KWmfpgOKiIj+qDvK6InAIuAd\n",
       "VLOYngOcZ7tz0rtGpFN5dOlUjohuGulUtv0z4EvAvwDPAF4HrJB08riijIiIgVOnD2GhpAupplTd\n",
       "Gnih7VcCBwB/0mx4ERExWeo8qfx64G9tf7N9o+0HJP1uM2FFRMRkqzO53Z7A7a3pqSU9HtjF9m3N\n",
       "h/dIDOlDGEX6ECKimyb6EL4IPNxW3kTVnxAREdNInYQw2/aDrYLtX1H1JURExDRSJyH8VNLCVqG8\n",
       "/mlzIUVERD/U6UPYC/gC1XBTgHXA22zf3HBs7TGkD2EU6UOIiG4am+1U0hMA275/vMGNVxLC6JIQ\n",
       "IqKbXj876ww7RdJRwHOBbaTq3LY/NK4IIyJiINV5MG0pcAxwMtWKaccAz2w4roiImGR1+hCus72/\n",
       "pFW2D5C0PXCJ7d+cnBDTZDSWNBlFRDdNNBn9onx/QNKuwF3A08YT3EwlcTewY4OXuKfBc0fEDFEn\n",
       "IVwsaUfg48A1ZdtZzYU0Le2YO/iIGHSjNhmVhXF+w/a3S3kbYBvb905SfK04pnSTUZp0IqIfJnzY\n",
       "qaTv2X7eFke2BZIQIiJ618RcRl+X9Ea1xptGRMS0VKeGcD+wLdUEd78sm217h4Zja48hNYSIiB5N\n",
       "eA3B9va2t7K9te0nlK9ayUDSAkk3SrpJ0ikj7DNf0gpJ10sarht4RERMrDo1hJd22965YE6X42YB\n",
       "a4AjgfXAVcAi26vb9nkS8G3gFbbXSXqK7cdMnJcaQkRE75p4DuH9QCtrbAPMoxp+evgYx80Dbm4t\n",
       "pCPpfGAhsLptnzcDF9heB9AtGURExOQYMyHYPqq9LGkOcEaNc+8KrG0rrwNe1LHPs4GtJV0BPAE4\n",
       "w/bna5w7IiImWK3J7TqsA/atsV+daVS3Bg4GjqDquP5vSd+1fVPnjpIWtxWHbQ/XOH9ExIwhaT4w\n",
       "f7zHj5kQJJ3ZVtwKeB6bn1gezXpgTlt5DlUyabcW+GlZr/kXkr4JHAg8JiHYXlzjmhERM1a5UR5u\n",
       "lSUN9XJ8nRrCNWy+298InNt6cnkMVwPPljQX+DFwLLCoY58vA58sHdC/RtWk9Dc1zh0REROsTkL4\n",
       "EvAL2w9DNXpI0ra2HxjtINsbJZ0ELANmAWfbXi3pxPL+Uts3SroEWAVsAs6yfcOW/EARETE+dYad\n",
       "fhc4srVSWlk5bZntQychvlYMGXYaEdGjJqau2KZ92UzbG6g6gCMiYhqpkxB+Lun5rYKkF7B5jYSI\n",
       "iJgm6vQhvAf4oqTbS/npVB3EERExjYzZhwAg6XHAc0pxje0HG43qsddPH0JERI8mvA+hjBTazvZ1\n",
       "tq8DtpP0zi0JMiIiBk+dUUYrbR/YsW1SF81JDSEiondNjDLaqiyl2brALKopJyIiYhqp06m8DDhf\n",
       "0lJAwInAJY1GFRERk65Ok9Es4PepJqADuAz4dOvJ5cmQJqOIiN71+tlZa5RRxwVeAhxn+496DW68\n",
       "khAiInrXxAI5SDqYamK6NwG3AReMK7qIiBhYIyYESc+hSgLHAj8B/hXYyvb8yQktIiIm04hNRpI2\n",
       "AV8BTrL9o7LtVtt7TGJ8rVjSZBQR0aOJHHb6eqo5i74p6R8kHQH5UIuImK7qjDLaHlhI1Xx0GPBP\n",
       "wIW2L20+vEdiSA0hIqJHjY4ykrQT8EaqUUaHjyO+cUlCiIjoXePDTvshCSEiondNTF0REREzQBJC\n",
       "REQASQgREVEkIUREBJCEEBERRRJCREQASQgREVEkIUREBJCEEBERRRJCREQASQgREVE0mhAkLZB0\n",
       "o6SbJJ3S5f35kn4maUX5+rMm44mIiJHVWkJzPCTNAj4JHAmsB66SdJHt1R27fsP20U3FERER9TRZ\n",
       "Q5gH3Gz7NtsPAedTravQKbOARkQMgCYTwq7A2rbyurKtnYFDJa2U9FVJz20wnoiIGEVjTUZUH/Zj\n",
       "uRaYY/sBSa8E/h3Yu8GYIiJiBE0mhPXAnLbyHKpawiNsb2h7/TVJn5K0k+27O08maXFbcdj28MSG\n",
       "GxExtUmaD8wf9/FNrZgmaTawBjgC+DGwHFjU3qksaRfgTtuWNA/4ou25Xc6VFdMiInrU62dnYzUE\n",
       "2xslnQQsA2YBZ9teLenE8v5SqvWZ/1DSRuAB4Lim4omIiNFlTeVJIOHFi5c8bmho6KF+xxIRM0fW\n",
       "VB5Aj3/8AwCf6HccERGjabJTOYAlS5bsfkr1jPZrgD/sbzQRESNLkxFVk05T5z7uuPPZZ581nZu/\n",
       "BlwGrC5fa4eGhjY1FUNEzEy9fnYmITRsyZIlB1E9b/ElYCfg8FF2Xwl8GbieKlHcNDQ09KvGg4yI\n",
       "aSkJYQAtWbLkLODMoaGhVaUsYGdgH2Bf4MXA0cATRzjFnVQP7V1JlShuHBoauqfpuCNiaktCGEBL\n",
       "lix5KrBhaGjoFzX23RZ4DlWyeB7wWkZ+etvAfwDvHhoaumWCwo2IaSIJYZpasmTJLGAuVY1iX+CV\n",
       "wGHl7X2GhoYe01ERETNbEsIMU5qfWLx48Qbb23e+L+mzwMW2LxjtPJL+quz3DUm3AQd3m0JkhGMX\n",
       "Aj9oPYUuaRh4r+1rOvY7AHi37RPqnLftuMXA7wI/AbYDrgP+rHMqdUmnAW8qxQOAVeX12bY/2cs1\n",
       "I6aDJIQZStIG20/osv0cqg/6fxvl2CcAl9ueV8q3Ai+wfVfNa3+WtqQj6QrgTzsTQnlvGDjG9p11\n",
       "zl2OGQI22P6bUj4GOAPY3/ZPRzjmMf8ekgTgqfBLHzEB8mDaDKfKJ8tKdZcBT217788lLZd0naSl\n",
       "bYctBL7ecar3S1ol6UpJzyrHz5X0n2W68q9LmiPpUKpnLD4u6VpJe5bj31SOXSPpN9vO+zU238X3\n",
       "9KO1Xtj+InAp8OYxD6piXiPpc1Q1izmS3lf+HVa2T5oo6a0l5hWS/kHSVpJmSfps+TdbJek944g9\n",
       "YkpIQph+XkfVCb0v8Hbg0Lb3zrQ9z/b+wOMlHVW2vxi4uuM899o+gGrVu9NbxwPn2D4Q+ALwCdvf\n",
       "AS6iqhEcbLvVuT3L9ouA9wBDbeddDrx0An7Oa6k63uvYC/g7279ejtmr1IYOAp4v6SWS9gWOAQ61\n",
       "fRDwMPAW4EDgGbb3L/8e50xA7BEDKQlh+nkpcK4rtwP/2fbe4ZK+K2kV1fMQrQWJngnc3nGe88r3\n",
       "84HfKK8PAc4tr/8ZaL/z76yWtpqorqXqDG+5vaM8Xr387v7Q9vLy+uXAyyWtAK6hGtG1F9WsvM8H\n",
       "ri7vHQHsAdwC7CnpE5JeAdw3AbFHDKRMXTH9mC7LkkraBvg74Pm215d2+W3adhntA7a9zX2k9sjO\n",
       "dvnWA3UP8+jfM3XZF0mfobpjX2/7qM73uziIqrZRx887yh+x/Y8d1z8J+Jzt07rEdgCwAPgDqlpE\n",
       "T53iEVNFagjTzzeBY0v799PZPDS19eF/l6TteXQ7/g+Bp7WVBRxbXh8LfKe8/g6bpyh/S7kWwAZg\n",
       "h5rxPb1c71FsH2/7oDrJQNIbgCPZXIvpxTLgeEnblXPtKmln4HLgjeU1knaStLukJwOzS6f8/wEO\n",
       "Hsc1I6aE1BCmDwPYvlDS4cANwI8oH+a275V0FtW0GP9L9dRzy38BLwAuaDvXjpJWAr8EFpXt7wLO\n",
       "kfQ+qqenf6dsPx84S9K76N5h3F4jmMfmRNKLP5b0VjYPOz28NQpK0hLgatsXj3DNR17bvqz0F/x3\n",
       "GXS0AXhrWavjz4BLJW0FPAS8k+rnP6dsAzh1HLFHTAkZdhqUGsMVtl84CdcapsdhpxExPhl2Gj2z\n",
       "fT9whaTDxtx5C5S2+JuTDCIGU2oIERHTVGoIERExLkkIEREBJCFERESRhBAREUASQkREFEkIEREB\n",
       "JCFERESRhBAREUASQkREFEkIEREBNJwQJC0oSzneJOmUUfZ7oaSNkl7fZDwRETGyxhKCpFlUyy8u\n",
       "oFqZa1GZdrjbfh8DLmHkxVemNEnz+x3DlpjK8U/l2CHx99tUj79XTdYQ5lHNbHmb7Yeo5sxf2GW/\n",
       "dwFfAn7SYCz9Nr/fAWyh+f0OYAvM73cAW2h+vwPYQvP7HcAWmt/vACZTkwlhV2BtW3ld2fYISbtS\n",
       "JYm/L5sGf+rViIhpqsmEUOfD/XTgVFdzcItp2mQUETEVNLYegqRDgMW2F5TyB4BNtj/Wts8tbE4C\n",
       "TwEeAH7P9kUd50rNISJiHHpZD6HJhDAbWAMcAfwYWA4ssr16hP3PAS4ui5lHRMQkm93UiW1vlHQS\n",
       "sAyYBZxdFjI/sby/tKlrR0RE76bEEpoREdG8gX5Sue6DbYNI0hxJV0j6vqTrJZ3c75jGQ9IsSSsk\n",
       "XdzvWHol6UmSviRptaQbSr/WlCHpA+X35zpJ50r6tX7HNBpJn5F0h6Tr2rbtJOkyST+QdKmkJ/Uz\n",
       "xtGMEP/Hy+/PSkn/JumJ/YxxJN1ib3vvvZI2SdpprPMMbEKo+2DbAHsI+GPb+wGHAH80xeJveTdw\n",
       "A1NzSPAZwFdt7wscAHTtvxpEkuYCvwccbHt/qmbX4/oZUw3nUP29tjsVuMz23sDlpTyousV/KbCf\n",
       "7QOBHwAfmPSo6ukWO5LmAL8F/LDOSQY2IVD/wbaBZPt/bX+vvL6f6sPoGf2NqjeSdgNeBXyaKTYk\n",
       "uNzJvcT2Z6Dq07L9sz6H1Yv7qG4qti0DNLYF1vc3pNHZ/hZwT8fmo4HPldefA147qUH1oFv8ti+z\n",
       "vakUrwR2m/TAahjh3x7gb4D31z3PICeEMR9smyrK3d5BVL9QU8nfAu8DNo214wDaA/iJpHMkXSvp\n",
       "LEnb9juoumzfDfw18COqUXr32v56f6Mal11s31Fe3wHs0s9gttDxwFf7HURdkhYC62yvqnvMICeE\n",
       "qdhE8RiStqeamuPdpaYwJUg6CrjT9gqmWO2gmA0cDHzK9sHAzxns5opHkfQs4D3AXKqa5faS3tLX\n",
       "oLZQeQB1Sv5dS/og8KDtc/sdSx3l5uc0YKh981jHDXJCWA/MaSvPoaolTBmStgYuAP7Z9r/3O54e\n",
       "HQocLelW4DzgcEn/1OeYerGO6u7oqlL+ElWCmCpeAHzH9l22NwL/RvV/MtXcIelpAJKeDtzZ53h6\n",
       "JukdVE2nUykhP4vqZmJl+RveDbhG0lNHO2iQE8LVwLMlzZX0OOBY4KIxjhkYkgScDdxg+/R+x9Mr\n",
       "26fZnmN7D6rOzP+0/fZ+x1WX7f8F1krau2w6Evh+H0Pq1Y3AIZIeX36XjqTq3J9qLgJ+u7z+bWBK\n",
       "3RhJWkDVbLrQ9i/7HU9dtq+zvYvtPcrf8DqqAQqjJuSBTQjlrqj1YNsNwL+M9JTzgHox8FbgsDJs\n",
       "c0X55ZqqpmJV/13AFyStpBpl9Bd9jqc22yuBf6K6MWq1Af9j/yIam6TzgO8Az5G0VtLvAB8FfkvS\n",
       "D4DDS3kgdYn/eOBMYHvgsvI3/Km+BjmCttj3bvu3b1fr7zcPpkVEBDDANYSIiJhcSQgREQEkIURE\n",
       "RJGEEBERQBJCREQUSQgREQEkIcQAKFPz/lVb+U8lDY12TA/n/qykN0zEuca4zpvKFNuXN32tiKYk\n",
       "IcQgeBB4naQnl/JEPhwz7nOVWUbrOgH4XdtHjPd6Ef2WhBCD4CGqp3D/uPONzjt8SfeX7/MlfUPS\n",
       "v0v6H0kflfQ2ScslrZK0Z9tpjpR0laQ1kl5djp9VFj9ZXhY/+f22835L0pfpMtWFpEXl/NdJ+mjZ\n",
       "9udUT6Z/RtJfduwvSZ8qi6xcKuk/Wj+PpNtai5ZIeoGkK8rr7cqCJ1eWmVqPLtv3K9tWlJifVfb9\n",
       "D0nfKzEdU/Z9vqRhSVdLuqRtPqGTVS26s7I83RrxiMbWVI7o0aeAVZ0fqDz2Dr+9fACwD9U88LcC\n",
       "Z9mep2p1undRJRgBz7T9Qkl7AVeU779NNaX0PFUrkf2XpEvLeQ+iWhTlUYuKSHoG1dQLBwP3ApdK\n",
       "Wmj7Q5IOA95r+9qOeN9Qrr+vpF2o1sU4e4SfreWDwOW2j1e1wtiVkr4OnAicYfvcUnuZDbwaWG+7\n",
       "leh2KJMqngm8xvZdko4FPkxVizkFmGv7IUk7jHD9mKFSQ4iBYHsD1dw9vSw1epXtO2w/CNxMNe8V\n",
       "wPVUMz1C9aH7xXKNm4FbqJLIy4G3S1oBfBfYCdirHLO8MxkULwSuKDOQPgx8AXhp2/vdphd+cdv1\n",
       "7wCuqPFzvRw4tcR2BfBrwO7AfwOnSXo/1Yf6L6nmOfqtUkP6Tdv3Ac8B9gO+Xs7xQTavJbIKOFfV\n",
       "VNoP14glZpDUEGKQnA5cS7UcYMtGyo2LpK2Ax7W996u215vaypsY/Xe7dWd+ku3L2t+QNJ9q7YSR\n",
       "jmv/0BePvssf6Y6/85iWR342YJuOY15v+6aObTdK+i5wFPBVSSfavkLSQVQ1hf9XOrUvBL5vu9t0\n",
       "2a+mSmKvAT4oaf+S3CJSQ4jBYfseqrvpE9j84Xob8Pzy+mhg6x5PK+BNpS3/WcCeVFNLLwPe2eo4\n",
       "lrS3xl5R7SrgZZKerGrN7+OAb4xxzLeBN5Tr7wK8rO2926jWPYCqaallGW01pfKBj6Q9bN9q+0zg\n",
       "y8ABqtYY+KXtLwB/RdXctQbYWdIh5bitJT1XkoDdbQ9TLRb0RGC7MeKPGSQ1hBgE7XfWf0017XnL\n",
       "WcCXJX0PuAS4f4TjOs/nttc/ApYDOwAn2n5Q0qepmpWuLR+UdwKv6zj20Se1b5d0KlUzjoCv2L54\n",
       "jJ/tAuAIqinc11LVgFprOy8BzpZ0HzDcdt3/C5wuaRXVTdstVMnwGElvo+qEv52qX2Ae8HFJm8r2\n",
       "Pyj9A28EPqFqbenZVMuh/gD4fNkmqv6I+8aIP2aQTH8d0TBJ29n+uaphtVcCh461UElEP6SGENG8\n",
       "r5TRQo8DPpRkEIMqNYSIiADSqRwREUUSQkREAEkIERFRJCFERASQhBAREUUSQkREAPD/ARHG4DJZ\n",
       "QRNlAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120f4e910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEPCAYAAABCyrPIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XucHFWZ//HPlwQMVyGCKBAMCMhlAQMYEVcNBDErSFSU\n",
       "gAqusIqrCO4iguBvO624gri73NbdCOGigiyKCCh3TMBVuYd7CLAESQKCkiAgRAh5fn+c00nT9MxU\n",
       "z0xN9/R8369Xv9JVXZenJzP1VNU5dR5FBGZmZqu0OwAzM+sMTghmZgY4IZiZWeaEYGZmgBOCmZll\n",
       "TghmZgaUnBAknS3pSUn39LLMaZIeknSXpAllxmNmZj0r+wrhHGBKTx9K+iCwRURsCXwO+K+S4zEz\n",
       "sx6UmhAi4tfAkl4W2Rc4Ly97M7CupA3LjMnMzJprdxvCxsCCuumFwCZtisXMbERrd0IAUMO0x9Iw\n",
       "M2uD0W3e/yJgXN30Jnneq0hykjAz64eIaDzp7lG7E8JlwOHAhZJ2BZ6JiCebLdjKl+o0kqZHxPR2\n",
       "x9Ffwzn+4Rw7OP5264L4WzqZLjUhSPox8D5gfUkLgAqwKkBEzIiIKyR9UNLDwF+Az5QZj5lZJ9Hq\n",
       "S5azdL2OOdktNSFExIEFljm8zBjMzDrW0vUU8Zp21EEjtdYm2wmNyiPB7HYHMECz2x3AAMxudwAD\n",
       "NLvdAQzQ7HYHMDDX/rNElPVizOJ2f8FX0XAokCMphnMbgpkNTxLB9FIPPUuiEmPL2nirx04nBDMb\n",
       "tiQWA+uVtoMxi4kXxw7bY0+rx8529zIyMxuI9Uq9B199Q4ykR6OcEMysNOWfwS8JVceWecTubeid\n",
       "ruNbRmZWGoko9wxeERUfG3riW0Zm1lFULXWkgRF1Bl82JwSzEUxVlXtLh8Bn8MOHbxmZjWBafXGw\n",
       "tLRejwBLIih1B9Yzdzs1s8LKvsdv7dXqsdNPKpuZGeCEYGZmmRuVzTrYUDT6mtU4IZh1tvXK7KWj\n",
       "6c4ItpJvGZmZGeBeRmYdzd1CbSDc7dSsi7hbqA2Eu52amVm/OCGYmRnghGBmZpm7nZoNgJ8TsG7i\n",
       "hGA2MH5OwLqGexmZDYC7hVonc7dTsyHkbqHWydzt1MzM+sUJwczMACcEMzPL3MvIupq7hZoVV2pC\n",
       "kDQFOAUYBZwVESc1fL4ecDawObAUOCQi7iszJhtx3C3UrKDSbhlJGgWcAUwBtgUOlLRNw2LHAXdE\n",
       "xI7AwcCpZcVjZma9K7MNYSLwcEQ8GhEvAxcCUxuW2QaYBRAR84DxkjYoMSYbaU58Goko6wUsafdX\n",
       "NBssZSaEjYEFddML87x6dwEfBZA0EXgLsEmJMdlIs3QsEajElx8as65RZkIocm/1RGBdSXOAw4E5\n",
       "wCslxmRmZj0os1F5ETCubnoc6SphhYh4DjikNi1pPvBIs41Jml43OTsiZg9WoGZm3UDSJGBSv9cv\n",
       "a+gKSaOBecBk4HHgFuDAiJhbt8zrgRcj4iVJnwXeHRF/32RbHrrC+sVDS9hI1uqxs7QrhIhYJulw\n",
       "4GpSt9OZETFX0mH58xmk3kfnSgrgXuDQsuIxM7PeeXA762q+QrCRrGOuEMyKKvdp4s4/4THrFE4I\n",
       "1glKe5rYTxKbFefB7czMDHBCMDOzzAnBzMwAJwQzM8vc7dTaruRC9S5SbyNWq8dOJwRrOz8rYFaO\n",
       "Vo+dvmVkZmaAE4KZmWVOCGZmBjghmJlZ5oRgZmaAE4KZmWVOCGZmBhRICJK2kDQmv99d0hGS1i0/\n",
       "NDMzG0pFhr++GNhZ0hbADOBS4ALgg2UGZp2j3HoF4JoFZp2hSEJYnsthfhQ4PSJOlzSn7MCso5RW\n",
       "rwBcs8CsUxRpQ3hJ0ieAg4Ff5HmrlheSmZm1Q5GEcAiwK/CtiJgvaTPgh+WGZWZmQ63PW0YRcZ+k\n",
       "Y4FN8/R84KSyAzMzs6FVpJfRvsAc4Ko8PUHSZWUHZmZmQ6vILaPpwDuBJQARMQfYvMSYzMysDYok\n",
       "hJcj4pmGecvLCMbMzNqnSLfT+yR9EhgtaUvgCOC35YZlZmZDrc+KaZLWBI4H9sqzrga+GRFLS46t\n",
       "PgZXTGujkktcgstcmpWi1BKakkYBa0XEn/sTXH85IbSXS1yaDU+DXkJT0o8lrZOvFO4B7pf01YEE\n",
       "aWZmnadIo/K2EfEs8GHgSmA8cFCZQZmZ2dArkhBGS1qVlBAuj4iXKTgamaQpkh6Q9JCkY5p8vr6k\n",
       "qyTdKeleSX/fUvRmZjZoiiSEGcCjwFrAjZLGA322IeT2hjOAKcC2wIGStmlY7HBgTkS8HZgE/Juk\n",
       "Ij2fzMxskBUZuuI04LTatKTfA7sX2PZE4OGIeDSvdyEwFZhbt8wTwA75/TrA0xGxrFDktoKHpzaz\n",
       "wdBnQpB0JHAO8BxwFrATcCyp+2lvNgYW1E0vJD3xXO9M4FeSHgfWBvYvFrY18PDUZjZgRW7PHBoR\n",
       "p0r6ADCW1KD8Q/pOCEUOIscBd0bEJElvBa6VtGNEPNe4oKTpdZOzI2J2ge2bmY0YkiaRbr/3S5GE\n",
       "UDvz3Bv4YUTcKxU6GV0EjKubHke6Sqi3G/AtgIj4P0nzgbcBtzVuLCKmF9mpmdlIlU+UZ9emJVVa\n",
       "Wb9Io/Ltkq4hlcy8StI6FBvL6DZgS0njJa0GTAMaR0l9ANgTQNKGpGTwSNHgzcxs8BS6ZQTsCDwS\n",
       "ES9IegPwmb5WymU3DyfdWhoFzIyIuZIOy5/PAP4VOEfSXaTk9NWIWNzP72JmZgNQJCEEsB2wD/AN\n",
       "YE1gTJGNR8SVpIfZ6ufNqHv/J+BDRYM1M7PyFLll9D1SCc1P5Onn8zwzM+siRa4Q3hkREyTNAYiI\n",
       "xfnJZTMz6yJFrhBeyk8dAyBpA1wgx8ys6xRJCKcDlwBvlPSvwG+Ab5calZmZDbkiQ1f8SNLtwOQ8\n",
       "a2pEzO1tHTMzG36KDF2xKfAX4PI8KyRtGhGPlRqZmZkNqSKNylewchiKMcBmwDxSV1QzM+sSRW4Z\n",
       "/U39tKSdgC+WFpGZmbVFkUblV4mIO3jtqKVmZjbMFWlDOKpuchXS8NeLSovIzMzaokgbwtqsbENY\n",
       "BvwCuLi0iMzMrC0U0fm1TyRFRHkFYIY7rb44WDq2zF0siaDUHZjZ4Gv12NlnQpB0OekKobbRAJ4F\n",
       "bgVmRMTSfsZamBNC7yQiAv98zOxVWj12FmlUnk8a0O77pJKXz+XXVnnazMy6QJErhNsiYpdm8yTd\n",
       "FxGlP4/gK4Te+QrBzJop4wphTUlvqdvBW0g1EQBeajE+MzPrUEV6GR0F/FpSrbTl5sAXJK0JnFda\n",
       "ZGZmNqQK9TKSNAbYmtSg/GBEvFh2YA379y2jXviWkZk1M+i9jDqBE0LvnBDMrJky2hDMzGwEcEIw\n",
       "MzOgl0blXAehR66HYGbWXXrrZVRfB6HeBvk1qslnZmY2TPWYEJrUQRgPHAvsCXyr1KjMzGzI9dmG\n",
       "IGkrSecCVwG3A9tExOllB2ZmZkOrtzaE7YHjSaUyvwMcGhGvDFVgZmY2tHp8DkHSK8BCUv2D5Q0f\n",
       "R0QcUXJs9bH4OYRe+DkEM2um1WNnb43Kh+Z/GzOGmswzM7NhrrdG5XMHunFJU4BTSD2SzoqIkxo+\n",
       "/wrwybpYtgHWj4hnBrrvTqKqFgPrlbcH52czG7jShq6QNAqYR+qVtIhUUOfAiJjbw/L7AF+OiD2b\n",
       "fDasbxmpqohKefH7lpGZNdNJQ1dMBB6OiEcj4mXgQmBqL8t/AvhxifGYmVkvekwIkk7K/+7fz21v\n",
       "DCyom16Y5zXb1xrAB4CL+7kvMzMboN4alfeWdCzwNeCifmy7lXtRHwL+t7e2A0nT6yZnR8TsfsRk\n",
       "Zta1JE0CJvV3/d4SwpXAEmAtSc81fBYRsU4f214EjKubHke6SmjmAPq4XRQR0/vYn5nZiJZPlGfX\n",
       "piVVWlm/x1tGEXF0RKwLXBERaze8+koGALcBW0oaL2k1YBpwWeNCkl4PvBe4tJXAzcxscPVZQjMi\n",
       "9pW0IfCOPOuWiHiqwHrLJB0OXE3qdjozIuZKOix/PiMv+mHg6qGuwmZmZq/WZ7fT3Kh8MnAD6aG0\n",
       "9wBHR8RPyg9vRQzudtrb9t3t1MyaGMwnlWu+DryjdlUgaQPgemDIEoKZmZWvyHMIAv5YN/10nmdm\n",
       "Zl2kyBXCVcDVki4gJYJppB5IZmbWRYo0Kh8taT/g3XnWjIi4pNywzMxsqBW5QiAiLsZPEZuZdbUy\n",
       "xzIyM7NhxAnBzMyAYjWV95XkxGFm1uWKHOinAQ9L+o6krcsOyMzM2qPPhBARnwQmAI8A50r6naTP\n",
       "SVq79OjMzGzIFLoVFBF/Bn4K/A+wEfARYI6kI0qMzczMhlCRNoSpki4hDam6KmkYi78DdgD+udzw\n",
       "zMxsqBR5DuGjwH9ExI31MyPiBUn/UE5YZmY21IokhCrwRG1C0urAhrlW8nWlRWZmZkOqSBvCRcAr\n",
       "ddPLSe0JZmbWRYokhNER8VJtIiL+SmpLMDOzLlIkIfxJ0tTaRH7/p/JCMjOzdijShvB54HxJZ+Tp\n",
       "hcBB5YVkZmbtUGT464eBd+YH0SIini8/LDMzG2qFhr+WtA+wLTBGSsXSIuIbJcZlZmZDrMiDaTOA\n",
       "/YEjSBXT9gfeUnJcZmY2xIo0Ku8WEQcDiyOiCuwKvK3csMzMbKgVSQgv5n9fkLQxsAx4U3khdaET\n",
       "n0YiynoBS9r9Fc1s+CvShnC5pPWAk4Hb87wzywupCy0dSwRqdxhmZr1RRPT8YSqM866I+E2eHgOM\n",
       "iYhnhii+WhwREcP2gCoRTghmNtRaPXb2mhDyBu+MiLcPOLIBcEIwM2tdq8fOIm0I10n6mGr9Tc3M\n",
       "rCsVuUJ4HliDNMDd0jw7ImKdkmOrj8FXCGZmLRr0K4SIWCsiVomIVSNi7fwqlAwkTZH0gKSHJB3T\n",
       "wzKTJM2RdK+k2UUDNzOzwVXkCuG9zeY3Fsxpst4oYB6wJ7AIuBU4MCLm1i2zLvAb4AMRsVDS+hHx\n",
       "moHzfIVgZta6Vo+dRbqdfhWoZY0xwERS99M9+lhvIvBwRDyaA7sQmArMrVvmE8DFEbEQoFkyMDOz\n",
       "oVFkcLt96qcljQNOLbDtjYEFddMLgXc2LLMlsKqkWcDawKkR8cMC2zYzs0FWaHC7BguBbQos1/u9\n",
       "qGRVYCdgMqnh+neSboqIhxoXlDS9bnJ2RMwusH0zsxFD0iRgUn/X7zMhSDq9bnIV4O2sfGK5N4uA\n",
       "cXXT40jJpN4C4E8R8SLwoqQbgR2B1ySEiJheYJ9mZiNWPlGeXZuWVGll/SJXCLez8mx/GXBB7cnl\n",
       "PtwGbClpPPA4MA04sGGZS4EzcgP060i3lP69wLbNzGyQFUkIPwVejIhXIPUekrRGRLzQ20oRsUzS\n",
       "4cDVwChgZkTMlXRY/nxGRDwg6SrgbmA5cGZE3D+QL2RmZv1TpNvpTcCetUppuXLa1RGx2xDEV4vB\n",
       "3U7NzFpUxtAVY+rLZkbEc6QGYDMz6yJFEsJfJO1cm5C0CytrJJiZWZco0obwZeAiSU/k6TeTGojN\n",
       "zKyL9NmGACBpNVaWzZwXES+VGtVr9+82BDOzFg16G0LuKbRmRNwTEfcAa0r6wkCCHKmq1eqq1Wq1\n",
       "yG06M7MhV+Tg9NmIWFGzN7//XHkhdZdqtXr0wQf/gGq1ugCY1e54zMx6UqQNYRVJq0TEclgxiumq\n",
       "5YY1tFRVkWE2+mUv9mLX8QLYhPQg3iqkZy7MzDpKkecQvgtsCswABBwGPBYRR5Uf3ooYhm0bQrVa\n",
       "HR/B/IZ6c3sDV1YqldISkZlZGTWVR5FuEU3Os64Fzqo9uTwUhnNCAJg27aLYdtu5WwHbAxfn2X8C\n",
       "9qxUKne1LzIz62aDnhCa7OA9wAER8cVWg+uv4Z4Qxoz5ayxd+joBVKvV1YAjge/kj68HDq5UKo+3\n",
       "Kz4z606lJARJO5EGpvs48CipqM3pva40iIZ7QmjW7bRara4H/Afw6TzrFOD/VSqV5xvXNzPrj0FL\n",
       "CJLeRkoC04A/Aj8Bjo6ITQcj0FZ0Y0KoqVarm5NuI709zzoMmFmpVIbslpyZdafBTAjLgV8Ah0fE\n",
       "Y3ne/IjYbFAibUE3J4SaarX6LuDXpJFhAT5QqVSuKT04M+tag5kQPky6QngncBXpCmFmRIwfhDhb\n",
       "MhISAkC1WhXpttz/5FmLgCmVSuXeMuMzs+5URi+jtYCppOSwO/AD4JKIGLKz15GSEGqq1errgK8A\n",
       "J+RZVwCHViqVP5QRn5l1p1J7GUkaC3yM1Mtoj37E1y8jLSHUVKvVNwBnAAfkWd8BqpVKpdfiRGZm\n",
       "MATdTtthpCaEmmq1uiXwc2DbPOsQ4LxKpeInns2sR04IHWiwRjutVqvvAW6smzW5Uqn8aqDbNbPu\n",
       "5ITQgQZz+Os8WuoBwPl51nxg70qlMncwtm9m3cMJoQOVUQ+hWq2OAb4G/Eue9XPgsEql8tRg7sfM\n",
       "hi8nhA5UZoGcarW6AfDfwEfzrG8C365UKi5zajbCOSF0oKGomFatVrcmPUj41jzrIOACNzybjVxO\n",
       "CB1oKEtoVqvV3YH6hub3VSqVG3ta3sy6lxNCBxrqmsq54flg4Jw86wFgaqVSeXCoYjCz9nNC6EBD\n",
       "nRBqqtXqGsDXSY3PfwbG+haS2cjR6rHTBd+7WKVSeaFSqRwHvAl4f9nJQNKXJa3eMO86SWtLGi/p\n",
       "noFsT1LTocElHSHpoH7EO1vSrXXTu0hqWvda0iuS5ki6U9Ltkt7V6v7MOp2vEIZAu64Qhpqk+cAu\n",
       "EfF0nt4D2C8ivihpPHB5RGw/gO09FxFrN1lubeD6iJjYYryzgfHA5yPiKkm7ACdHxO5Nll2xb0l7\n",
       "AcdFxKRW9mc21HyFYD2SdLCku/JZ7g/yvPGSfpXnXydpXJ5/rqT96tZ9Pv87KZ9Z/0TSXEk/yvOP\n",
       "ADYCZkm6Pq/2CeDSuhBGS/qRpPvz+qvndSdLukPS3ZJmSlqth+0h6YQc/+8kvREgIp4Dnpa0XYs/\n",
       "kgC+Cxzf4nqvBxbneNbKP7fbc/z75vlVSUfWxf2t/J2QdLSkW/LPfHqet6akX+bvdo+k/VuMyWzg\n",
       "IqK0FzCF1KD5EHBMk88nke5tz8mvr/ewnSgzzrJfKfx2x8B2wDxgbJ5eN/97OXBQfv8Z0ki2kBqk\n",
       "96tb/7m6/7NnSAdrAb8Fdsufza9tP0/PrdvfeGA58K48PRM4ChgDPAZskeefBxzZw/aWA3vn9ycB\n",
       "x9d9VgX+scWfySxgZ1IZ00n5/awell2Wf0fn5u+/U54/Clg7v18feCi/fwtwe36/CvAwsB6wFzCj\n",
       "bv7lwHtIz5F8v25/67T7d8av4f9q9dhZ2hWCpFGkkTqnkAZlO1DSNk0WvSEiJuTXCU0+t8GxB3BR\n",
       "RCwGiIhn8vxdgQvy+x8Bf1tgW7dExOORfuPuJB3sm9motr9sQUT8rmFfWwHzI+LhPP884L09bO+l\n",
       "iPhlfn97w34f7yWOvpxAanzvzYv5d3Qb0u/0D/L8VYBvS7oLuBbYSNIbI+L3pKuWt5OSwB0RsSS/\n",
       "30vSnPwd3gZsAdwDvF/SiZL+NiKe7ed3Meu30SVueyLwcEQ8CiDpQlJdhcYxd7r+3nqHCHr+WTeb\n",
       "v4x8S1HSKsBqdZ/9te79KxT/PapvsFLDdF/zAV6ue7+8Yb+vWS+flNyWJy+NiOnNYoqIWZJOICXH\n",
       "PkXETZLWl7QBsDfpymCniHglt3uMyYueRbrq2hA4u24T346I7zduV9KEvL0TJF0fEd8sEo/ZYCmz\n",
       "DWFjYEHd9MI8r14Au+V7qVdI2hYry6+Aj+eaFkhaL8//LSvrLXySlaOpPkq6hQKwL7BqgX08B6xT\n",
       "N/24pDfUTW8qqXbQ/QSpZOg8YLyk+iesb+hhe715c455hYh4pe7qc3of658AHEPPyWgFSVuT/nae\n",
       "zvE9lZPB7qRbRTWXkK4mdgGuzvOuBg6RtGbe1saSNpD0ZmBpRJxPatfYqa84zAZbmVcIRbov3QGM\n",
       "i4gXJP0daYC2rUqMacSKiPslfQu4QdIrpJ/9IcCXgHMkHQ08RTqjBTgTuFTSnaQSqvVdPnv6v/0+\n",
       "cJWkRRExGfhfXn0wnAd8UdLZwH3Af0XEXyV9BviJpNHALaSxmZptr36/0TA9kVRlrl8i4kpJKwYG\n",
       "lLQRcGZE7J1nrZ5v80C6Gvl0RCyXdD5wuaS7SVcjc+u2+bKkXwFLYuUN3WvzrdPfSYKU9A4i3TY6\n",
       "WamW+UvAP/b3u5j1V2ndTvOZ4PSImJKnvwYsj4iTellnPrBzw31nJAWp0bBmdkTMHvyoyzFSup02\n",
       "kjQJmBYRpR7cJK1D6nb6jjL306p8q+124GMR8X/tjse6X/6bm1Q3qxKd8KRyPtubB0wmNfjdAhwY\n",
       "EXPrltmQdLkdkiaSGj3HN9lWtPKlOs1ITQiQHkwDPhKpa2hZ+zgCWBwRPyprH63Ktz8vB34WEUe3\n",
       "Ox4bmVo9dpb6YFq+DXQKqWvezIj4tqTDACJihqQvki6NlwEvAP8cETc12Y4TgplZizoqIQyWbkgI\n",
       "06dXV6tUKi/3vbSZ2eDwk8odaPXVXwA4rd1xmJn1psxeRgZUq9VNjzkGgA/hniNm1sF8y4h0S6es\n",
       "bR9wwIVsvfW8xtlXkp5qnZtfCzwstZkNNrchdJhqtTqB1Of/p8BY0hASPbmLNBjcvaRE8VClUvlr\n",
       "L8ubmfXICaEDVavVM4HTK5XK3XlawAbA1sA2wLtJTwO/vodNPEV6aO9mUqJ4oFKpLCk7bjMb3pwQ\n",
       "OlC1Wn0j8FylUnmxwLJrkAY82xp4O/Bhen56O4BfAkdWKpVHBilcM+sSTghdqlqtjiKN5rlNfv0d\n",
       "UCvksnWlUnlNQ4WZjWxOCCNMvv3E9OnTn4uItRo/l3QuqVLZxb1tR9J383I3SHqUNHrn4t7WqVt3\n",
       "KvBg7Sl0pUpkR0XE7Q3L7UCqdXBoke3WrTcd+Afgj8CapKGiv17/1Hte7jjg43lyB+Du/H5mRJzR\n",
       "yj7NuoETwgilnstLnkM60P+sl3VfVYJSDaUrC+z7XOqSjlJd4q80JoT82Wxg/4h4qvGzXrZfIRXo\n",
       "+fc8vT9wKrB9RPyph3Ve8/NQHk0uhsMvvdkg8INpI5ySMyQ9IOla4I11n/1LLt14j6QZdatNBa5r\n",
       "2NRXlUpC3lwbmlpNym1K2o30jMXJSmUwN8/rfzyvO09SfdGdK1l5Ft/SV6u9iYiLgGtIQ2j3vlKK\n",
       "eZ6k80hXFuPUpIRlXvZTOeY5kv5b0iqSRimVE70n/zy+3I/YzYYFJ4Tu8xFSI/Q2wMHAbnWfnR4R\n",
       "EyMVul9d0j55/rtZWUim5pmI2IFU9e6U2vrAORGxI3A+cFpE/Ba4jHRFsFNE1Bq3R0XEO4EvA5W6\n",
       "7d5CzxXRWnEHqeG9iC2A/4yIv8nrbJGvhiYAO0t6Tx6Sen9SOdAJpMI/nwR2JFV+2z7/PM4ZhNjN\n",
       "OpITQvd5L3BBJE+QCuPU7CHppjx2/x6k0qaQiro80bCdH+d/LwTeld/3Vm6z8bK0dovqDl5d2vIJ\n",
       "+l/qsl4rv7u/j4hb8vueSlhOJhUEui1/NhnYDHgE2FzSaZI+ALi0pXUtD13RfZqWypQ0BvhPUr2J\n",
       "Rfm+/Ji6RXo7wDaWvuxrGVhZZrOxxGbTEpm5aM4EYFFE7NP4eRMTSFcbRfylYfo1JSwlHQ6cFxHH\n",
       "NYltB1Lls8+TriJaahQ3Gy58hdB9bgSm5fvfb2Zl19Tawf9pSWvx6vv4vwfeVDctYFp+P41UZhN6\n",
       "LrfZaqnL3zfOjIhDIpW67DMZSNoP2JOVVzGtaFrCErge+Fh+j6SxkjZVKgE6OjfK/z9c2tK6mK8Q\n",
       "uketROMlkvYA7gceIx/MI+IZSWeShsX4A+mp55paqcuL67a1nqS7gKXAgXl+T+U2LwTOlPQlmjcY\n",
       "N5a6vLHJMn35J0mfYmW30z1qvaAkVYHbIuLyHva54n0PJSw/FRFzJX0duEap0tnLwBdI3/+cPA/g\n",
       "2H7EbjYsuNupka8YZg1FCcr+dDs1s/5xt1NrWUQ8D8yStHufCw9Avhf/sJOBWWfyFYKZWZfyFYKZ\n",
       "mfWLE4KZmQFOCGZmljkhmJkZ4IRgZmaZE4KZmQFOCGZmljkhmJkZ4IRgZmaZE4KZmQElJwRJU3Ip\n",
       "x4ckHdPLcu+QtEzSR8uMx8zMelZaQpA0ilR+cQqpMteBedjhZsudBFxFz8VXhjVJk9odw0AM5/iH\n",
       "c+zg+NttuMffqjKvECaSRrZ8NCJeJo2ZP7XJcl8Cfgr8scRY2m1SuwMYoEntDmAAJrU7gAGa1O4A\n",
       "BmhSuwMYoEntDmAolZkQNgYW1E0vzPNWkLQxKUn8V57V+UOvmpl1qTITQpGD+ynAsZHG4BZdesvI\n",
       "zGw4KK0egqRdgekRMSVPfw1YHhEn1S3zCCuTwPrAC8BnI+Kyhm35ysHMrB9aqYdQZkIYDcwDJgOP\n",
       "A7cAB0bE3B6WPwe4PBczNzOzITa6rA1HxDJJhwNXA6OAmbmQ+WH58xll7dvMzFo3LEpomplZ+Tr6\n",
       "SeWiD7Z1IknjJM2SdJ+keyUd0e6Y+kPSKElzJF3e7lhaJWldST+VNFfS/blda9iQ9LX8+3OPpAsk\n",
       "va7dMfVG0tmSnpR0T928sZKulfSgpGskrdvOGHvTQ/wn59+fuyT9TNLr2xljT5rFXvfZUZKWSxrb\n",
       "13Y6NiEUfbCtg70M/FNEbAfsCnxxmMVfcyRwP8OzS/CpwBURsQ2wA9C0/aoTSRoPfBbYKSK2J912\n",
       "PaCdMRVwDunvtd6xwLURsRVwfZ7uVM3ivwbYLiJ2BB4EvjbkURXTLHYkjQPeD/y+yEY6NiFQ/MG2\n",
       "jhQRf4iIO/P750kHo43aG1VrJG0CfBA4i2HWJTifyb0nIs6G1KYVEX9uc1iteJZ0UrFG7qCxBrCo\n",
       "vSH1LiJ+DSxpmL0vcF5+fx7w4SENqgXN4o+IayNieZ68GdhkyAMroIefPcC/A18tup1OTgh9Ptg2\n",
       "XOSzvQmkX6jh5D+Ao4HlfS3YgTYD/ijpHEl3SDpT0hrtDqqoiFgM/BvwGKmX3jMRcV17o+qXDSPi\n",
       "yfz+SWDDdgYzQIcAV7Q7iKIkTQUWRsTdRdfp5IQwHG9RvIaktUhDcxyZrxSGBUn7AE9FxByG2dVB\n",
       "NhrYCfgcWwvxAAAF3UlEQVReROwE/IXOvl3xKpLeCnwZGE+6slxL0ifbGtQA5QdQh+XftaTjgZci\n",
       "4oJ2x1JEPvk5DqjUz+5rvU5OCIuAcXXT40hXCcOGpFWBi4EfRcTP2x1Pi3YD9pU0H/gxsIekH7Q5\n",
       "plYsJJ0d3Zqnf0pKEMPFLsBvI+LpiFgG/Iz0fzLcPCnpTQCS3gw81eZ4Wibp70m3TodTQn4r6WTi\n",
       "rvw3vAlwu6Q39rZSJyeE24AtJY2XtBowDbisj3U6hiQBM4H7I+KUdsfTqog4LiLGRcRmpMbMX0XE\n",
       "we2Oq6iI+AOwQNJWedaewH1tDKlVDwC7Slo9/y7tSWrcH24uAz6d338aGFYnRpKmkG6bTo2Ipe2O\n",
       "p6iIuCciNoyIzfLf8EJSB4VeE3LHJoR8VlR7sO1+4H96esq5Q70b+BSwe+62OSf/cg1Xw/FS/0vA\n",
       "+ZLuIvUy+tc2x1NYRNwF/IB0YlS7B/z99kXUN0k/Bn4LvE3SAkmfAU4E3i/pQWCPPN2RmsR/CHA6\n",
       "sBZwbf4b/l5bg+xBXexb1f3s6xX6+/WDaWZmBnTwFYKZmQ0tJwQzMwOcEMzMLHNCMDMzwAnBzMwy\n",
       "JwQzMwOcEKwD5KF5v1s3/RVJld7WaWHb50rabzC21cd+Pp6H2L6+7H2ZlcUJwTrBS8BHJL0hTw/m\n",
       "wzH93lYeZbSoQ4F/iIjJ/d2fWbs5IVgneJn0FO4/NX7QeIYv6fn87yRJN0j6uaT/k3SipIMk3SLp\n",
       "bkmb121mT0m3Sponae+8/qhc/OSWXPzkc3Xb/bWkS2ky1IWkA/P275F0Yp73L6Qn08+W9J2G5SXp\n",
       "e7nIyjWSfln7PpIerRUtkbSLpFn5/Zq54MnNeaTWffP87fK8OTnmt+ZlfynpzhzT/nnZnSXNlnSb\n",
       "pKvqxhM6Qqnozl356VazFUqrqWzWou8BdzceUHntGX799A7A1qRx4OcDZ0bERKXqdF8iJRgBb4mI\n",
       "d0jaApiV//00aUjpiUqVyP5X0jV5uxNIRVFeVVRE0kakoRd2Ap4BrpE0NSK+IWl34KiIuKMh3v3y\n",
       "/reRtCGpLsbMHr5bzfHA9RFxiFKFsZslXQccBpwaERfkq5fRwN7AooioJbp18qCKpwMfioinJU0D\n",
       "vkW6ijkGGB8RL0tap4f92wjlKwTrCBHxHGnsnlZKjd4aEU9GxEvAw6RxrwDuJY30COmge1Hex8PA\n",
       "I6QkshdwsKQ5wE3AWGCLvM4tjckgewcwK49A+gpwPvDeus+bDS/87rr9PwnMKvC99gKOzbHNAl4H\n",
       "bAr8DjhO0ldJB/WlpHGO3p+vkP42Ip4F3gZsB1yXt3E8K2uJ3A1coDSU9isFYrERxFcI1klOAe4g\n",
       "lQOsWUY+cZG0CrBa3Wd/rXu/vG56Ob3/btfOzA+PiGvrP5A0iVQ7oaf16g/64tVn+T2d8TeuU7Pi\n",
       "uwFjGtb5aEQ81DDvAUk3AfsAV0g6LCJmSZpAulI4ITdqXwLcFxHNhsvem5TEPgQcL2n7nNzMfIVg\n",
       "nSMilpDOpg9l5cH1UWDn/H5fYNUWNyvg4/le/luBzUlDS18NfKHWcCxpK/VdUe1W4H2S3qBU8/sA\n",
       "4IY+1vkNsF/e/4bA++o+e5RU9wDSraWaq6m7UsoHfCRtFhHzI+J04FJgB6UaA0sj4nzgu6TbXfOA\n",
       "DSTtmtdbVdK2kgRsGhGzScWCXg+s2Uf8NoL4CsE6Qf2Z9b+Rhj2vORO4VNKdwFXA8z2s17i9qHv/\n",
       "GHALsA5wWES8JOks0m2lO/KB8ingIw3rvnqjEU9IOpZ0G0fALyLi8j6+28XAZNIQ7gtIV0C12s5V\n",
       "YKakZ4HZdfv9JnCKpLtJJ22PkJLh/pIOIjXCP0FqF5gInCxpeZ7/+dw+8DHgNKXa0qNJ5VAfBH6Y\n",
       "54nUHvFsH/HbCOLhr81KJmnNiPiLUrfam4Hd+ipUYtYOvkIwK98vcm+h1YBvOBlYp/IVgpmZAW5U\n",
       "NjOzzAnBzMwAJwQzM8ucEMzMDHBCMDOzzAnBzMwA+P+Js4bLn19B6AAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12010da10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEPCAYAAABCyrPIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmYHFW5x/Hvj7CEnQQQBQMB2VUwgBHhqmERURBUhLAI\n",
       "Kt4rXkVckc17O60imwsILhHZlM0FEVB2TACVnRC2EEHCkoBwJUFBCJDkvX+c06TTzFI9MzXdPfP7\n",
       "PM8801Vdy9uTTr116lSdVxGBmZnZUq0OwMzM2oMTgpmZAU4IZmaWOSGYmRnghGBmZpkTgpmZASUn\n",
       "BElnSnpK0j09LPMDSQ9Kmi5pXJnxmJlZ98puIZwF7Nrdm5I+AGwYERsBnwZ+XHI8ZmbWjVITQkTc\n",
       "CMzrYZE9gHPysrcAq0laq8yYzMysa63uQ1gHeLxuejbwxhbFYmY2rLU6IQCoYdpjaZiZtcDSLd7/\n",
       "HGBM3fQb87wlSHKSMDPrg4hoPOnuVqsTwqXAocCFkrYFno2Ip7pasJkP1W4kTYqISa2Oo686Of5O\n",
       "jh0cf6sNgfibOpkuNSFIugB4D7CGpMeBCrAMQERMjojLJX1A0kPAv4FPlhmPmVk7WWr5uRHzR7c6\n",
       "jFeVmhAiYr8CyxxaZgxmZu0q5o8m4jX9qANGaq5Pth06lYeDqa0OoJ+mtjqAfpja6gD6aWqrA+in\n",
       "qa0OoH+u+bJElPXDyLmt/oBLUCcUyJEUndyHYGadSSKYVN6hZ7UXiXnHR2kn5s0eO50QzKxjScwF\n",
       "RpW2g5FziRdHd+yxp9ljZ6vvMjIz649RpV6Dr64ew+nRKCcEMytN+Wfw80LV0aUdsUe9WNaW25Mv\n",
       "GZlZaSSi3DN4lf2UwDwi2ue+0Cb5kpGZtRVVyxtpYNSLgE8WB4xbCGbDmKoq95LOpCj1PnukcELo\n",
       "nu8yMrPCtPzcoNwnZedFUN4OnBB65EtGZlZcyU/KWmfxk8pmZgY4IZiZWeZLRmZtrPRO37IfulLZ\n",
       "8fdYotea5E5lszamqiIq5X33y35OwJ2+rdXssdOXjMzMDHALwaytlX1b6GrMi3mUOnhbRz/p2+n8\n",
       "HILZEOJLOtYfvmRkZmZ94oRgZmaAE4KZmWV+DsGsHzr+OQGzOk4IZv0zqtTnBCYRqLzho/GDXVbH\n",
       "dxmZ9UPZt4WOYi5zo3Nr+lpr+bZTs0Hk20Ktnfm2UzMz6xMnBDMzA5wQzMws811GNqT5tlCz4kpN\n",
       "CJJ2BU4GRgA/i4gTGt4fBZwJbADMBw6OiPvKjMmGHd8WalZQaQlB0gjgNGBnYA5wm6RLI2JG3WJH\n",
       "A3dGxIclbQL8MC9v1jl8F5ANEWX2IYwHHoqIRyLiFeBCYM+GZTYDpgBExExgrKQ1S4zJhpvjn0Ei\n",
       "yvoZxdxWf0KzAVNmQlgHeLxuenaeV2868BEASeOB9YA3lhiTDTfzRxOByvqZy+qt/oRmA6bMhFDk\n",
       "uurxwGqSpgGHAtOAhSXGZGZm3SizU3kOMKZuegyplfCqiHgOOLg2LWkW8HBXG5M0qW5yakRMHahA\n",
       "bYhzp68NE5ImABP6vH5ZQ1dIWhqYCewEPAHcCuxX36ksaVXgxYh4WdJ/AdtHxCe62JaHrrA+KX1o\n",
       "CbM21uyxs7QWQkQskHQocBXpttMzImKGpEPy+5OBzYGzlc7g7gU+VVY8ZmbWMw9uZ0OaWwg2nLVN\n",
       "C8GsqHKfJm7/Ex6zduGEYO2gtKeJNckZwawoD25nZmaAE4KZmWVOCGZmBjghmJlZ5ttOreXKLFS/\n",
       "GvNiXozyiY8NS80eO50QrOX8rIBZOZo9dvrMyczMACcEMzPLnBDMzAxwQjAzs8wJwczMACcEMzPL\n",
       "nBDMzAwokBAkbShpZH69g6TDJK1WfmhmZjaYigx/fRGwtaQNgcnAJcD5wAfKDMzaR7n1CsA1C8za\n",
       "Q5GEsCiXw/wIcGpEnCppWtmBWVsprV4BuGaBWbso0ofwsqT9gYOA3+d5y5QXkpmZtUKRFsLBwCHA\n",
       "sRExS9L6wC/KDcvajlTiWbwbCGbtoNeEEBH3SToSWDdPzwJOKDswazNlDi4oZwSzdlDkLqM9gGnA\n",
       "lXl6nKRLyw7MzMwGV5E+hEnAO4B5ABExDdigxJjMzKwFiiSEVyLi2YZ5i8oIxszMWqdIp/J9kg4A\n",
       "lpa0EXAY8JdywzIzs8HWa8U0SSsCxwC75FlXAd+MiPklx1YfgyumtVCZJS6zeRGUugOz4ajUEpqS\n",
       "RgArRcQ/+xJcXzkhtJZLXJp1pgEvoSnpAkmr5JbCPcD9kr7WnyDNzKz9FOlU3jwi/gV8CLgCGAsc\n",
       "WGZQZmY2+IokhKUlLUNKCJdFxCsUfLRU0q6SHpD0oKQjunh/DUlXSrpL0r2SPtFU9GZmNmCKJITJ\n",
       "wCPASsANksYCvfYh5P6G04Bdgc2B/SRt1rDYocC0iHgbMAH4rqQidz6ZmdkAKzJ0xQ+AH9SmJT0K\n",
       "7FBg2+OBhyLikbzehcCewIy6ZZ4EtsivVwGeiYgFhSK3V3l4ajMbCL0mBElfAM4CngN+BmwFHEm6\n",
       "/bQn6wCP103PJj3xXO904I+SngBWBvYpFrY18PDUZtZvRS7PfCoiTpH0PmA0qUP5F/SeEIocRI4G\n",
       "7oqICZLeBFwjacuIeK5xQUmT6ianRsTUAtsfPjwaqdmwJ2kC6fJ7nxRJCLUzz92AX0TEvVKhk9E5\n",
       "wJi66TGkVkK97YBjASLib5JmAZsAtzduLCImFdnpsOXRSM2GvXyiPLU2LanSzPpFOpXvkHQ1qWTm\n",
       "lZJWodhYRrcDG0kaK2lZYCLQOErqA8DOAJLWIiWDh4sGb2ZmA6fQJSNgS+DhiHhB0urAJ3tbKZfd\n",
       "PJR0aWkEcEZEzJB0SH5/MvBt4CxJ00nJ6WsRMbePn8XMzPqhSEII4M3A7sA3gBWBkUU2HhFXkB5m\n",
       "q583ue71P4APFg3WzMzKU+SS0Y+AbYH98/TzeZ6ZmQ0hRVoI74iIcZKmAUTE3PzkspmZDSFFWggv\n",
       "56eOAZC0Ji6QY2Y25BRJCKcCFwOvk/Rt4M/AcaVGZWZmg67I0BXnSroD2CnP2jMiZvS0jpmZdZ4i\n",
       "Q1esC/wbuCzPCknrRsRjpUZmZmaDqkin8uUsHrtgJLA+MJN0K6qZmQ0RRS4ZvaV+WtJWwOdKi8jM\n",
       "zFqiSKfyEiLiTl47aqmZmXW4In0IX6mbXIo0/PWc0iIyM7OWKNKHsDKL+xAWAL8HLiotIjMzawlF\n",
       "tP/IxpIiyhzeucNp+bnB/NFl7mJeBKXuwMwGXrPHzl4TgqTLSC2E2kYD+BdwGzA5Iub3MdbCnBB6\n",
       "JhER+O9jZkto9thZpFN5FmlAu5+SSl4+l382ztNmZjYEFGkh3B4R23Q1T9J9EVH68whuIfTMLQQz\n",
       "60oZLYQVJa1Xt4P1SDURAF5uMj4zM2tTRe4y+gpwo6RaacsNgM9KWhE4p7TIhhJpLjCqvB20/40B\n",
       "Ztb+Ct1lJGkksCnpyPPXiHix7MAa9t/Zl4ykoMT4fcnIzLoy4HcZtQMnhN4274RgZq9VRh+CmZkN\n",
       "A04IZmYG9NCpnOsgdMv1EMzMhpae7jKqr4NQb838M6KL98zMrEN1mxC6qIMwFjgS2Bk4ttSozMxs\n",
       "0PXahyBpY0lnA1cCdwCbRcSpZQdmZmaDq6c+hLcCx5BKZZ4IfCoiFg5WYGZmNri6fQ5B0kJgNqn+\n",
       "waKGtyMiDis5tvpY/BxCj5v3cwhm9lrNHjt76lT+VP7dmDHUxTwzM+twpT6pLGlX4GTSHUk/i4gT\n",
       "Gt7/KnBAnlwa2AxYIyKebViuo1sIo49UzFu+xB1MCtxCMLNGbTN0haQRwEzSXUlzSAV19ouIGd0s\n",
       "vzvwxYjYuYv3OjohqKqIii8ZmdngaqehK8YDD0XEIxHxCnAhsGcPy+8PXFBiPGZm1oNuE4KkE/Lv\n",
       "ffq47XWAx+umZ+d5Xe1rBeB9wEV93JeZmfVTT53Ku0k6EjgK+FUftt3MtagPAn9q7DuoJ2lS3eTU\n",
       "iJjah5jMzIYsSROACX1dv6eEcAUwD1hJ0nMN70VErNLLtucAY+qmx5BaCV3Zl14uF0XEpF72Z2Y2\n",
       "rOUT5am1aUmVZtbv9pJRRBweEasBl0fEyg0/vSUDgNuBjSSNlbQsMBG4tHEhSasC7wYuaSZwMzMb\n",
       "WL2W0IyIPSStBbw9z7o1Ip4usN4CSYcCV5FuOz0jImZIOiS/Pzkv+iHgqsGuwmZmZkvq9bbT3Kl8\n",
       "EnA96aG0dwGHR8Svyw/v1Rh822lP2/dtp2bWhYF8Urnm68Dba60CSWsC1wGDlhDMzKx8RZ5DEPB/\n",
       "ddPP5HlmZjaEFGkhXAlcJel8UiKYSLoDyczMhpAincqHS9oL2D7PmhwRF5cblpmZDbYiLQQi4iL8\n",
       "FLGZ2ZBW5lhGZmbWQZwQzMwMKFZTeQ9JThxmZkNckQP9ROAhSSdK2rTsgMzMrDV6TQgRcQAwDngY\n",
       "OFvSTZI+LWnl0qMzM7NBU+hSUET8E/gN8EtgbeDDwDRJh5UYm5mZDaIifQh7SrqYNKTqMqRhLN4P\n",
       "bAF8udzwzMxssBR5DuEjwPcj4ob6mRHxgqT/LCcsMzMbbEUSQhV4sjYhaXlgrVwr+drSIjMzs0FV\n",
       "pA/hV8DCuulFpP4EMzMbQookhKUj4uXaRES8ROpLMDOzIaRIQviHpD1rE/n1P8oLyczMWqFIH8Jn\n",
       "gPMknZanZwMHlheSmZm1QpHhrx8C3pEfRIuIeL78sMzMbLAVGv5a0u7A5sBIKRVLi4hvlBiXmZkN\n",
       "siIPpk0G9gEOI1VM2wdYr+S4zMxskBXpVN4uIg4C5kZEFdgW2KTcsMzMbLAVSQgv5t8vSFoHWAC8\n",
       "vryQhqDjn0EiyvoB5rX6I5pZ5yvSh3CZpFHAScAded7p5YU0BM0fTQRqdRhmZj1RRHT/ZiqM886I\n",
       "+HOeHgmMjIhnBym+WhwRER17QJUIJwQzG2zNHjt7TAh5g3dFxNv6HVk/OCGYmTWv2WNnkT6EayV9\n",
       "VLX7Tc3MbEgq0kJ4HliBNMDd/Dw7ImKVkmOrj8EtBDOzJg14CyEiVoqIpSJimYhYOf8USgaSdpX0\n",
       "gKQHJR3RzTITJE2TdK+kqUUDNzOzgVWkhfDuruY3FszpYr0RwExgZ2AOcBuwX0TMqFtmNeDPwPsi\n",
       "YrakNSLiNQPnuYVgZta8Zo+dRW47/RpQyxojgfGk20937GW98cBDEfFIDuxCYE9gRt0y+wMXRcRs\n",
       "gK6SgZmZDY4ig9vtXj8taQxwSoFtrwM8Xjc9G3hHwzIbActImgKsDJwSEb8osG0zMxtghQa3azAb\n",
       "2KzAcj1fi0qWAbYCdiJ1XN8k6eaIeLBxQUmT6ianRsTUAts3Mxs2JE0AJvR1/V4TgqRT6yaXAt7G\n",
       "4ieWezIHGFM3PYaUTOo9DvwjIl4EXpR0A7Al8JqEEBGTCuzTzGzYyifKU2vTkirNrF+khXAHi8/2\n",
       "FwDn155c7sXtwEaSxgJPABOB/RqWuQQ4LXdAL0e6pPS9Ats2M7MBVuTBtN8A50bEORFxHnCzpBV6\n",
       "WykiFgCHAlcB9wO/jIgZkg6RdEhe5gHgSuBu4Bbg9Ii4v4+fpe1Vq1XXojaztlXkttObgZ1rldJy\n",
       "5bSrImK7QYivFkNH33Y6cuRLcdRRxx8HrF6pVA5pdTxmNjwMylhGgz2+UacmhGq1uhTwpZdeWvY7\n",
       "yy338iLgBmAy8Fj+ebJSqSxsZYxmNnSVkRD+DBwWEXfk6W2AUyPinf2KtAmlJwSpyB1RfXLrNttw\n",
       "6fs+xDLLLOht0emkhDGDxQnjceCflUqltPjMbOgqIyG8HbgQeDLPegMwMSJu73OUTerUFkLNJpvM\n",
       "jP33v/Al4CDgPmDd/LMp8C5g6wKbeRa4Kf/MIiWLx4A5lUrl5TLiNrPONuAJIW90WRaXzZwZEYN6\n",
       "AOr0hCARkyZVxwP/qFQqs7pbrlqtjgDWYnHCWI+ULLYH3lhgVzNJrYx7WdzKeAx4xq0Ms+GnjBbC\n",
       "ocB5ETEvT48ijUn0o35F2oShkBAiUL7LaGGlUlnU121Vq9UVSM901JLGBqRWxjuAZXtZ/UXgVuBG\n",
       "4GHqLk1VKpX5Pa1oZp2njIQwPSK2bJjnTuWCqtXq4Q8/vP6JG2wwazbwKPDu/iSEAvsTsCYpWdQS\n",
       "x9tISeNNBTaxc6VSua6s+Mxs8JQxuN1SkpaKiEV5ByNIQ04MGaqW16m8C7uw7VhBuuRzCenZj9IS\n",
       "Qr409HT+6bKfp1qtLkcaa6rWylifdFnqLcALZcVmZu2tSAvhO6SDxmRAwCHAYxHxlfLDezWGTm4h\n",
       "jI1gVkO9ud2AK9rxur6kVYH9I+LHdfNOAt4PXA78DXihcRDC/ET6ZRHx1jx9AbA5cGZEnJK/R7/v\n",
       "7xhUXcXXzXLLAdcAE2onMwW3vwJwOvBW0vd9Humz/x44LiKurlv2i8DGwAmkjv5jI+J/8ntrkG7E\n",
       "+ElEfL74JzQbOGVcMhoBfJo0AB2k/2Q/i4hBu3++kxMCwMSJv4rNN5+xMekgc1Ge/Q/S5ZnprYvs\n",
       "tRoP7Hnes8Co6OHLUr+epNcDN0bERvm9lYHrImJ8GfH1sOyxwB0R8dsmtn8UsHpEfDVPb0S61Pdx\n",
       "4J0RcXDdsjcBh5Pu+Poj8GxEbJ3f+2/S/5sbI+Kwovs3G0il3GXUsIN3AftGxOeaDa6vOj0hjBz5\n",
       "Usyfv5wAqtXqssAXgBPz29cBB1UqlSdaFV+9XLdiD9IdS9eQ7i7bDbgHOI501v9cRHxX0tbAmaSx\n",
       "rq4Bds0J4W5gw7yNzwNjgc0j4ui8j0eA80ln3gtJB87jSR3kJ0XE5Lzc4cDepHGuLo6ISQ3xXQ18\n",
       "g3QpbhTpUubXI+LSvP47gK9GxN5NfP5TgEcj4nsN80eTnhFZJyIW5MR0fUSsV0tSpGdJvh8Rd+Qh\n",
       "3a8G1nYLwVqlrNtOtyINTLc38AipqM2pPa40gDo9IXRVMa1arY4Cvk868wQ4GfifSqXy/GDHV0/S\n",
       "eqRLO/UthOciYuX8ukJKCN/LB/7PRsSfJJ0IvD8nhCW2IenHwDW1M3VJs4DjI2KypO+Rquq9E1ge\n",
       "uDciXi9pF2CviDhE0lKkg/6JpLui6rc9AlghIp7Ll2luqmuZLAc8HBHrNPH5tyQdyP9GStbnRMRD\n",
       "+b3LSONtXSrpSGB0RHytLiEcBbyHVC/kbOAXwDZOCNYqA1ZTWdImkiZJmkE6WD0GLBUREwYzGQxV\n",
       "lUplXqVS+QTpzp+7gC8Cz1Wr1U/n5xFapdCXJ1/LXzUi/pRn1fcpNG5jPRY/2Fhzaf59D+kg/u9I\n",
       "FfNeytveBdhF0jTSiLubkFodjdteCjhO0nRSK2VtSa8DiIiXSDdFjCzymfI608ktFWA0cJukTfPb\n",
       "FwD75tcT83S9q4D35mV+WXSfZu2ip9FOZ5CK17wvIt6dk4DH3RlglUrl4UqlMg7YjvT3nQwsqFar\n",
       "u7Q2sqb1lkgav2sv5d+LgPoHHRex+O634yJiXP7ZOCLO6mK7BwBrAFtFxDjS3VX1CUA0FGuS9FlJ\n",
       "0yTdmfs7lpCT08X5sui5wAfyW5cCO0kaR2qVTGtY7xVS8voy8GsKJlezdtFTQvgI6UGmGyT9RNJO\n",
       "+AtemkqlchPpGvjEPOuqarU6u1qtvmWQQ3mOVM60J4qIfwLPSto+zzugh+UfBV5z4K1tq4t5QTrb\n",
       "PljSigCS1pG0ZhfxrQI8HRELJe1Aao2Q11kOWJhbCos3HvGjnGS2ioi/LxGMtF1++LL2hP7mpMuk\n",
       "RBrxdwpwFqkPpCvfBY6IiGe7ed+sbXWbECLidxExkXRv+o3Al4A1Jf04X9+1AVapVKJSqfyKdIb7\n",
       "ddKzAvdUq9U/VKvV7g6oAyoingH+LOkeSSfUZjculn9/EvhhvqzTuFz96z8B23TzXnS1XkRcQzro\n",
       "3pT7Kn4NrNRFfOcB2+RlDiS1bGvGkcZ+asabgKl5e3cCtzXcpXQB6W6xxstFtbjvr7slt/GzmbW1\n",
       "pu4yyndafJR0l9GOpUX12v0OuU7lIqrV6urAaSy+bn0iUK1UKh318JiklYApEfH2Qd7vt0kH9IsH\n",
       "c79m7aL0205bYbgmhJpqtboR8DvS5QuAg4FzyhwCY6Dlu5CuiIgpg7S/2oNp7+np+QmzocwJoQ31\n",
       "NyHUVKvVd5FGM63ZqVKp/LG/2zWzockJoQ0NVEKAV6uw7Uu6dg5pyITdKpXKjO7XMrPhyAmhDQ1k\n",
       "QqipVqsjSQ9C/W+e9TvgkEql8vRA7sfMOpcTQhsqIyHUVKvVNYGfkG4TBvgmcFylUnmxjP2ZWedw\n",
       "QmhDZSaEmmq1uilpRM5azYMDgfM7qePZzAaWE0IbGoyEUFOtVncgjbxZ855KpXJDd8ub2dDlhNCG\n",
       "BjMhwKsdzweRnqgFeADYs1Kp/HWwYjCz1nNCaEODnRBqcv3lr5M6n/8JjPYlJLPhY8BGO7XOV6lU\n",
       "XqhUKkeTxhF6b9nJQNIXJS3fMO9aSStLGivpnv5sT1KXQ4NLOkzSgX2Id6qk2+qmt8l1DLpadmEe\n",
       "EO8uSXdIemez+zNrd24hDIJWtRAGW65zsE0ebwhJO5JqGnyumUpnPWzv1boMDcv1qSKbpKmk4j2f\n",
       "iYgrJW1DKtCzQxfL1teE2AU4OiImNLM/s8HmFoJ1S9JBkqbns9yf53ljJf0xz79W0pg8/2xJe9Wt\n",
       "+3z+PSGfWf9a0gxJ5+b5hwFrA1MkXZdX259U2KZmaUnnSro/r798XnenPBT13ZLOkLRsN9tD0rdy\n",
       "/DfV1T14DnhG0pub/JME8B3gmCbXWxWYm+NZKf/d7sjx75HnVyV9oS7uY/NnQtLhkm7Nf/NJed6K\n",
       "kv6QP9s9kvZpMiaz/ouI0n6AXUkdmg+ShgRufH8C6dr2tPzz9W62E2XGWfZPCr/VMfBmUtnJ0Xl6\n",
       "tfz7MuDA/PqTpFKVkDqk96pb/7m6f7NnSQdrAX8BtsvvzaptP0/PqNvfWFKtg3fm6TOAr5BGdn0M\n",
       "2DDPPwf4QjfbWwTsll+fABxT914V+O8m/yZTgK1JldEm5NdTull2Qf6Ozsiff6s8fwSwcn69BvBg\n",
       "fr0eqZ4zpBOvh0hlPncBJtfNvwx4F+k5kp/W7W+VVn9n/NP5P80eO0trISiVNjyNlBQ2B/aTtFkX\n",
       "i14fi4ugfKuseIwdgV9FxFyAWDxe/7YsHtv/XOA/Cmzr1oh4ItI37i7Swb4ra9f2lz0eEbXhqGv7\n",
       "2hiYFblMJSkhvLub7b0cEX/Ir+9o2O8TPcTRm2+ROt978mL+jm5G+k7/PM/vsmJbRDxKarW8jZQE\n",
       "7oyIeXRfCe4e4L2Sjpf0HxHxrz5+FrM+W7r3RfpsPPBQRDwCrxZv35Mlx6sHF90ZLEH3f+uu5i8g\n",
       "X1JUqmm8bN179QVnFlL8e1TfYfWaSma9zAd4pe51fWW1LtfLJyW358lLImJSVzFFxBRJ3yIlx15F\n",
       "xM2S1lAq2LMbiyu2Lcz9HrWKbT8jtbrWAs6s28RxEfHTxu0qVWLbDfiWpOsi4ptF4jEbKGX2IawD\n",
       "PF43PTvPqxfAdvla6uWSNsfK8kdgb6WaFihXBSNd8qnVWziAxaOpPkK6hAKwB6maW2+eI1Uwq3lC\n",
       "0up10+tKqh109ycVXpoJjJVU/4T19d1srydvyDG/KiIW1rU+J/Wy/reAIyhQ0EapxvJSwDP0ULEN\n",
       "uJjUmtiGVAEOuqkEJ+kNwPyIOI/Ur7FVb3GYDbQyWwhFbl+6ExgTES9Iej9pgLaNS4xp2IqI+yUd\n",
       "C1wvaSHpb38w8HngLEmHk+oRfzKvcjpwiaS7gCuB+ls+u/u3/SlwpaQ5EbETiyul1Q6GM4HPSToT\n",
       "uA/4cUS8JOmTwK8lLQ3cShqbqavt9VRpbTzw1Sb+JEuIiCskvTowoKS1gdMjYrc8a3ktrgwn4OMR\n",
       "sUjSecBlShXWbqeuBRwRr0j6IzAvFl/QvSZfOr1JEqSkdyDpstFJkmo1pv+7r5/FrK9Ku+00nwlO\n",
       "iohd8/RRwKKIOKGHdWYBWzdcd0ZSkDoNa6ZGxNSBj7ocw+W200aSJgATI6LUg5ukVUi3nQ5qRbbe\n",
       "5EttdwAfjYi/tToeG/ry/7kJdbMq0Q5PKuezvZnATqQOv1uB/SJiRt0ya5Ga2yFpPKnTc2wX24pm\n",
       "PlS7Ga4JAdKDacCHI90aWtY+DgPmRsS5Ze2jWfny52XAbyPi8FbHY8NTs8fOUh9My5eBTibdmndG\n",
       "RBwn6RCAiJgs6XOkpvEC4AXgyxFxcxfbcUIwM2tSWyWEgTIUEsKkSdVlK5XKK70vbWY2MPykchta\n",
       "fvkXAH7Q6jjMzHpS5l1GBlSr1XWPOAKAD+I7R8ysjfmSEemSTlnb3nffC9l005mNs68gPdU6I/88\n",
       "7mGpzWyguQ+hzVSr1XGke/5/A4wmDSHRnemkweDuJSWKByuVyks9LG9m1i0nhDZUrVZPB06tVCp3\n",
       "52kBawKbApsB25OeBl61m008TXpo7xZSonigUqnMKztuM+tsTghtqFqtvg54rlKpvFhg2RVIA55t\n",
       "CrwN+BDdP70dwB+AL1QqlYcHKFwzGyKcEIaoarU6gjSa52b55/1ArZDLppVK5TUdFWY2vDkhDDP5\n",
       "8hOTJk16LiJWanxf0tmkSmUX9bQdSd/Jy10v6RHS6J1ze1qnbt09gb/WnkJXqkT2lYi4o2G5LUi1\n",
       "Dj5VZLt1600C/hP4P2BF0lDRX69/6j0vdzSwd57cArg7vz4jIk5rZp9mQ4ETwjCl7stLnkU60P+2\n",
       "h3WXKEGphtKVBfZ9NnVJR6ku8VcbE0J+byqwT0Q83fheD9uvkAr0fC9P7wOcArw1Iv7RzTqv+Xso\n",
       "jyYXnfClNxsAfjBtmFNymqQHJF0DvK7uvf/NpRvvkTS5brU9gWsbNvU1pZKQt9SGplYX5TYlbUd6\n",
       "xuIkpTKYG+T1987rzpRUX3TnChafxTf10WovIuJXwNWkIbR7XinFPFPSOaSWxRh1UcIyL/uxHPM0\n",
       "ST+RtJSkEUrlRO/Jf48v9iF2s47ghDD0fJjUCb0ZcBCwXd17p0bE+EiF7peXtHuevz2LC8nUPBsR\n",
       "W5Cq3p1cWx84KyK2BM4DfhARfwEuJbUItoqIWuf2iIh4B/BFoFK33VvpviJaM+4kdbwXsSHww4h4\n",
       "S15nw9x5D/IFAAAK6ElEQVQaGgdsLeldeUjqfUjlQMeRCv8cAGxJqvz21vz3OGsAYjdrS04IQ8+7\n",
       "gfMjeZJUGKdmR0k357H7dySVNoVU1OXJhu1ckH9fCLwzv+6p3GZjs7R2iepOlixt+SR9L3VZr5nv\n",
       "7qMRcWt+3V0Jy51IBYFuz+/tBKwPPAxsIOkHkt4HuLSlDVkeumLo6bJUpqSRwA9J9Sbm5OvyI+sW\n",
       "6ekA21j6srdlYHGZzcYSm12WyMxFc8YBcyJi98b3uzCO1Noo4t8N068pYSnpUOCciDi6i9i2IFU+\n",
       "+wypFdFUp7hZp3ALYei5AZiYr3+/gcW3ptYO/s9IWoklr+M/Cry+blrAxPx6IqnMJnRfbrPZUpeP\n",
       "Ns6MiIMjlbrsNRlI2gvYmcWtmGZ0WcISuA74aH6NpNGS1lUqAbp07pT/H1za0oYwtxCGjlqJxosl\n",
       "7QjcDzxGPphHxLOSTicNi/F30lPPNbVSlxfVbWuUpOnAfGC/PL+7cpsXAqdL+jxddxg3lrq8oYtl\n",
       "evMlSR9j8W2nO9bugpJUBW6PiMu62eerr7spYfmxiJgh6evA1UqVzl4BPkv6/GfleQBH9iF2s47g\n",
       "206N3GKYMhglKPty26mZ9Y1vO7WmRcTzwBRJO/S6cD/ka/EPORmYtSe3EMzMhii3EMzMrE+cEMzM\n",
       "DHBCMDOzzAnBzMwAJwQzM8ucEMzMDHBCMDOzzAnBzMwAJwQzM8ucEMzMDCg5IUjaNZdyfFDSET0s\n",
       "93ZJCyR9pMx4zMyse6UlBEkjSOUXdyVV5tovDzvc1XInAFfSffGVjiZpQqtj6I9Ojr+TYwfH32qd\n",
       "Hn+zymwhjCeNbPlIRLxCGjN/zy6W+zzwG+D/Soyl1Sa0OoB+mtDqAPphQqsD6KcJrQ6gnya0OoB+\n",
       "mtDqAAZTmQlhHeDxuunZed6rJK1DShI/zrPaf+hVM7MhqsyEUOTgfjJwZKQxuMUQvWRkZtYJSquH\n",
       "IGlbYFJE7JqnjwIWRcQJdcs8zOIksAbwAvBfEXFpw7bccjAz64Nm6iGUmRCWBmYCOwFPALcC+0XE\n",
       "jG6WPwu4LBczNzOzQbZ0WRuOiAWSDgWuAkYAZ+RC5ofk9yeXtW8zM2teR5TQNDOz8rX1k8pFH2xr\n",
       "R5LGSJoi6T5J90o6rNUx9YWkEZKmSbqs1bE0S9Jqkn4jaYak+3O/VseQdFT+/twj6XxJy7U6pp5I\n",
       "OlPSU5LuqZs3WtI1kv4q6WpJq7Uyxp50E/9J+fszXdJvJa3ayhi701Xsde99RdIiSaN7207bJoSi\n",
       "D7a1sVeAL0XEm4Ftgc91WPw1XwDupzNvCT4FuDwiNgO2ALrsv2pHksYC/wVsFRFvJV123beVMRVw\n",
       "Fun/a70jgWsiYmPgujzdrrqK/2rgzRGxJfBX4KhBj6qYrmJH0hjgvcCjRTbStgmB4g+2taWI+HtE\n",
       "3JVfP086GK3d2qiaI+mNwAeAn9FhtwTnM7l3RcSZkPq0IuKfLQ6rGf8inVSskG/QWAGY09qQehYR\n",
       "NwLzGmbvAZyTX58DfGhQg2pCV/FHxDURsShP3gK8cdADK6Cbvz3A94CvFd1OOyeEXh9s6xT5bG8c\n",
       "6QvVSb4PHA4s6m3BNrQ+8H+SzpJ0p6TTJa3Q6qCKioi5wHeBx0h36T0bEde2Nqo+WSsinsqvnwLW\n",
       "amUw/XQwcHmrgyhK0p7A7Ii4u+g67ZwQOvESxWtIWok0NMcXckuhI0jaHXg6IqbRYa2DbGlgK+BH\n",
       "EbEV8G/a+3LFEiS9CfgiMJbUslxJ0gEtDaqf8gOoHfn/WtIxwMsRcX6rYykin/wcDVTqZ/e2Xjsn\n",
       "hDnAmLrpMaRWQseQtAxwEXBuRPyu1fE0aTtgD0mzgAuAHSX9vMUxNWM26ezotjz9G1KC6BTbAH+J\n",
       "iGciYgHwW9K/Sad5StLrASS9AXi6xfE0TdInSJdOOykhv4l0MjE9/x9+I3CHpNf1tFI7J4TbgY0k\n",
       "jZW0LDARuLSXddqGJAFnAPdHxMmtjqdZEXF0RIyJiPVJnZl/jIiDWh1XURHxd+BxSRvnWTsD97Uw\n",
       "pGY9AGwrafn8XdqZ1LnfaS4FPp5ffxzoqBMjSbuSLpvuGRHzWx1PURFxT0SsFRHr5//Ds0k3KPSY\n",
       "kNs2IeSzotqDbfcDv+zuKec2tT3wMWCHfNvmtPzl6lSd2NT/PHCepOmku4y+3eJ4CouI6cDPSSdG\n",
       "tWvAP21dRL2TdAHwF2ATSY9L+iRwPPBeSX8FdszTbamL+A8GTgVWAq7J/4d/1NIgu1EX+8Z1f/t6\n",
       "hf7/+sE0MzMD2riFYGZmg8sJwczMACcEMzPLnBDMzAxwQjAzs8wJwczMACcEawN5aN7v1E1/VVKl\n",
       "p3Wa2PbZkvYaiG31sp+98xDb15W9L7OyOCFYO3gZ+LCk1fP0QD4c0+dt5VFGi/oU8J8RsVNf92fW\n",
       "ak4I1g5eIT2F+6XGNxrP8CU9n39PkHS9pN9J+puk4yUdKOlWSXdL2qBuMztLuk3STEm75fVH5OIn\n",
       "t+biJ5+u2+6Nki6hi6EuJO2Xt3+PpOPzvP8lPZl+pqQTG5aXpB/lIitXS/pD7fNIeqRWtETSNpKm\n",
       "5Ncr5oInt+SRWvfI89+c503LMb8pL/sHSXflmPbJy24taaqk2yVdWTee0GFKRXem56dbzV5VWk1l\n",
       "syb9CLi78YDKa8/w66e3ADYljQM/Czg9IsYrVaf7PCnBCFgvIt4uaUNgSv79cdKQ0uOVKpH9SdLV\n",
       "ebvjSEVRligqImlt0tALWwHPAldL2jMiviFpB+ArEXFnQ7x75f1vJmktUl2MM7r5bDXHANdFxMFK\n",
       "FcZukXQtcAhwSkScn1svSwO7AXMiopboVsmDKp4KfDAinpE0ETiW1Io5AhgbEa9IWqWb/dsw5RaC\n",
       "tYWIeI40dk8zpUZvi4inIuJl4CHSuFcA95JGeoR00P1V3sdDwMOkJLILcJCkacDNwGhgw7zOrY3J\n",
       "IHs7MCWPQLoQOA94d937XQ0vvH3d/p8CphT4XLsAR+bYpgDLAesCNwFHS/oa6aA+nzTO0XtzC+k/\n",
       "IuJfwCbAm4Fr8zaOYXEtkbuB85WG0l5YIBYbRtxCsHZyMnAnqRxgzQLyiYukpYBl6957qe71orrp\n",
       "RfT83a6dmR8aEdfUvyFpAql2Qnfr1R/0xZJn+d2d8TeuU/PqZwNGNqzzkYh4sGHeA5JuBnYHLpd0\n",
       "SERMkTSO1FL4Vu7Uvhi4LyK6Gi57N1IS+yBwjKS35uRm5haCtY+ImEc6m/4Uiw+ujwBb59d7AMs0\n",
       "uVkBe+dr+W8CNiANLX0V8Nlax7GkjdV7RbXbgPdIWl2p5ve+wPW9rPNnYK+8/7WA99S99wip7gGk\n",
       "S0s1V1HXUsoHfCStHxGzIuJU4BJgC6UaA/Mj4jzgO6TLXTOBNSVtm9dbRtLmkgSsGxFTScWCVgVW\n",
       "7CV+G0bcQrB2UH9m/V3SsOc1pwOXSLoLuBJ4vpv1GrcXda8fA24FVgEOiYiXJf2MdFnpznygfBr4\n",
       "cMO6S2404klJR5Iu4wj4fURc1stnuwjYiTSE++OkFlCttnMVOEPSv4Cpdfv9JnCypLtJJ20Pk5Lh\n",
       "PpIOJHXCP0nqFxgPnCRpUZ7/mdw/8FHgB0q1pZcmlUP9K/CLPE+k/oh/9RK/DSMe/tqsZJJWjIh/\n",
       "K91WewuwXW+FSsxawS0Es/L9Pt8ttCzwDScDa1duIZiZGeBOZTMzy5wQzMwMcEIwM7PMCcHMzAAn\n",
       "BDMzy5wQzMwMgP8HtI0ecVyawx8AAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120e34f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEPCAYAAABCyrPIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmYXFWZx/HvjyQQdhJAVATCvgkawIjgElZBNhXZBRVn\n",
       "ZEYBcZRVnUo5OoCig+AykV3ZRBEBZYc0IrITQoAQQYIQZERJkCAESPLOH+dUulLppaq7b1dV9+/z\n",
       "PP2k7q17b73d6b7vPfece15FBGZmZss0OwAzM2sNTghmZgY4IZiZWeaEYGZmgBOCmZllTghmZgYU\n",
       "nBAknS/pr5Km97DNWZKekDRN0vgi4zEzs+4V3UK4ANijuzclfQTYKCI2Bj4H/LjgeMzMrBuFJoSI\n",
       "uAOY28Mm+wIX5W3vAVaTtFaRMZmZWdea3YewNvBs1fJs4B1NisXMbFhrdkIAUM2y59IwM2uCkU3+\n",
       "/OeAdaqW35HXLUGSk4SZWR9ERO1Fd7eanRCuAY4GLpe0PfBSRPy1qw0b+aZajaRJETGp2XH0VTvH\n",
       "386xg+NvtqLjV0fHHGBMUcdnp50a2rzQhCDpMuBDwBqSngVKwCiAiJgcEddJ+oikJ4F/Ap8pMh4z\n",
       "s1aiPbceE/PHNjuMxQpNCBFxSB3bHF1kDGZmrSrmjyViqX7UASM11ifbCp3Kw0FHswPop45mB9AP\n",
       "Hc0OoJ86mh1AP3U0O4D+ufk/JKKoL0bPafY3uAS1Q4EcSdHOfQhm1p4kgknFnXpWew3mnlbcua3R\n",
       "c6cTgpm1La385iJeGVXcuWH0HOK1sW177mn03NnsUUZmZn33yigVeg++vHoMp0ejnBDMrDCFX8Ev\n",
       "PxeVxxZ2xh7zWlFHbk2+ZWRmhZGIYq/gVfRTDnOJaJ1xoQ3yLSMzaykqFzfTwJjXAF8sDhi3EMyG\n",
       "MZVV7JOyk6LQcfZI4YTQPY8yMrO6afk5QZFPyq70ZsS8UcU97+SE0CMnBDOrW9H3+AvnhNAj9yGY\n",
       "DSGFT37GxOIObW3HCcGstY2JiROLG6UznAbZW6+cEMxa2Z37otvnFXjSLjgfqOBO655L9FqD3Idg\n",
       "1sJUVkSpyLluCu5D8D3+pmr03OnZTs3MDHALwaxfCu/03XNrihwWuhpzYy6FTt7W1k/6tjuPMjIb\n",
       "XMV2+s4v+pbOWN/SscV8y8jMzAAnBDMzy5wQzMwMcB+CWf+0+3MCZlWcEMz6Y8E8Cn1OYBKBips+\n",
       "Gj/YZVU87NSsH4qeLXQMc5gT7VvT15rLs52aDSI/6WutzE8qm5lZn7gPwYY0Tx9tVj8nBBvqPH20\n",
       "WZ2cEGxo87BQs7oVmhAk7QGcCYwAzo2I02veHwOcD2wAzAeOjIhHi4zJhhkPCzWrW2EJQdII4AfA\n",
       "rsBzwH2SromIGVWbnQI8GBEfk7Qp8MO8vVn78CggGyKKbCFMAJ6MiKcBJF0O7AdUJ4TNgdMAImKm\n",
       "pHGS1oyIvxUYl7WYQjt+T3sxXcUXZAxzAM/ubENDkQlhbeDZquXZwHtrtpkGfBz4vaQJwHrAOwAn\n",
       "hOGlsI7f4qePXj3cj2BDRZHPIdTzV3IasJqkqcDRwFRgYYExmZlZN4psITwHrFO1vA6plbBYRMwD\n",
       "jqwsS5oFPNXVwSRNqlrsiIiOgQrUhjh3+towIWki/Xg4prCpKySNBGYCuwB/Ae4FDqnuVJa0KvBa\n",
       "RLwh6V+BHSPi010cy1NXDGHq6IjCbhkVPbWEWQtrmRKaEbFA0tHAjaRhp+dFxAxJR+X3JwNbABcq\n",
       "XcE9Any2qHis74p/2tdX2WatwJPbWa+KvIIvmlsINpy1TAvBrF4qq8AWSOtf8Ji1CicEawVjinqa\n",
       "uMhnEMyGGk9/bWZmgBOCmZllTghmZgY4IZiZWeaEYM132otIRBFfqzHXncpmdfIoI2u++WMp7lmB\n",
       "Ip+nMxta3EIwMzPACcHMzDInBDMzA5wQzMwsc0IwMzPACcHMzDIPOx0CXK/AzAZCrwlB0kbA7IiY\n",
       "L2knYCvgpxHxUuHRWb0KK1JvZsNHPS2EK4Ftc2KYDFwNXAp8pMjArHUUW68AXLPArDXUkxAW5XKY\n",
       "HwfOjoizJU0tOjBrKYXVKwDXLDBrFfV0Kr8h6VDgCOA3ed2o4kIyM7NmqKeFcCRwFPCtiJglaX3g\n",
       "Z8WGZS1HKvAq3g0Es1bQa0KIiEclnQSsm5dnAacXHZi1mAYKdTdMzghmraDXW0aS9gWmAjfk5fGS\n",
       "rik6MDMzG1z19CFMAt5LHoseEVOBDQqMyczMmqCehPBmF88cLCoiGDMza556OpUflXQYMFLSxsCx\n",
       "wB+KDcvMzAZbPS2EY4AtgdeBy4CXgeOKDMpaTIElLpU6lD01hlkLqGeU0T+BU4BTJI0AVoqI+YVH\n",
       "Zq2j0BKXZtYq6hlldJmkVSStCEwHHpN0QvGhmZnZYKrnltEWEfEy8FHgemAccHiRQZmZ2eCrJyGM\n",
       "lDSKlBCujYg3qfPRUkl7SHpc0hOSTuzi/TUk3SDpIUmPSPp0Q9GbmdmAqSchTAaeBlYCfidpHPCP\n",
       "3nbK/Q0/APYAtgAOkbR5zWZHA1Mj4t3AROC7klyjwcysCerpVD4LOKuyLOnPwE51HHsC8GREPJ33\n",
       "uxzYD5hRtc3zwNb59SrAixGxoK7IrdOd+6Lb53muITPrl3oK5HwRuACYB5wLbAOcBNzYy65rA89W\n",
       "Lc8mPfFc7RzgNkl/AVYGDqwvbFvCgnl4emoz6696bs98NiK+L+nDwFhSh/LP6D0h1HMSOQV4KCIm\n",
       "StoQuFnSuyJiXu2GkiZVLXZEREcdxx8+PBup2bAnaSLp9nuf1JMQKleeewE/i4hHpLouRp8D1qla\n",
       "XofUSqi2A/AtgIj4k6RZwKbA/bUHi4hJ9XzosOXZSM2GvXyh3FFZllRqZP96OpUfkHQTqWTmDZJW\n",
       "ob65jO4HNpY0TtKywEFA7SypjwO7Akhai5QMnqo3eDMzGzh13TIC3gU8FRGvSlod+ExvO+Wym0eT\n",
       "bi2NAM6LiBmSjsrvTwb+G7hA0jRScjohIub08XsxM7N+qCchBGkuo72BbwArAqPrOXhEXE96mK16\n",
       "3eSq138H9qk3WDMzK049t4x+BGwPHJqXX8nrzMxsCKmnhfDeiBgvaSpARMzJTy5bndTRMQcY0+w4\n",
       "zMx6Uk9CeCM/dQyApDVxgZxGjYmJE4t7TuB2jwIys/6r55bR2cBVwFsk/TdwJ3BqoVGZmdmgq2fq\n",
       "ioslPQDsklftFxEzetrHzMzaTz1TV6wL/BO4Nq8KSetGxDOFRmZmZoOqnj6E6+icu2A0sD4wkzQU\n",
       "1czMhoh6bhm9s3pZ0jbAFwqLyMzMmqKeTuUlRMSDLD1rqZmZtbl6+hC+XLW4DGn66+cKi8jMzJqi\n",
       "nj6ElensQ1gA/Aa4srCIzMysKRTR+s80SYoocnrngqmjIwp9MG35OcH8sUUdHmBuBIV+gJkNvEbP\n",
       "nfXcMrqW1EKoHDSAl4H7gMkRMb8vgdoAmj+WCNo2YZpZa6inU3kWaUK7n5BKXs7LX5vkZTMzGwLq\n",
       "6UPYISK2q1q+RtL9EbGdpEeLCszMzAZXPS2EFSWtV1nIr1fMi28UEpWZmQ26eloIXwbukFQpbbkB\n",
       "8HlJKwIXFRbZEPLivvvCvHkF9t63/sAAM2t9dY0ykjQa2Ix05vljRLxWdGA1n9/Wo4yQggLjlwh3\n",
       "KptZrUbPnR52OhicEMysCRo9dzY8dYWZmQ1NTghmZgb00Kmc6yB0y/UQzMyGlp5GGVXXQai2Zv4a\n",
       "0cV7ZmbWprpNCF3UQRgHnATsCnyr0KjMzGzQ9dqHIGkTSRcCNwAPAJtHxNlFB2ZmZoOrpz6ErYCv\n",
       "kkplfhv4bEQsHKzAzMxscHX7HIKkhcBsUv2DRTVvR0QcW3Bs1bH4OYQeD+/nEMxsaQM5/fVn87+1\n",
       "GUNdrDMzszZX6JPKkvYAziSNSDo3Ik6vef8rwGF5cSSwObBGRLxUs11btxDGnqSYu3yBHzApXA/B\n",
       "zJbSMlNXSBoBzCSNSnqOVFDnkIiY0c32ewPHRcSuXbzX1glBZUWUfMvIzAZXK01dMQF4MiKejog3\n",
       "gcuB/XrY/lDgsgLjMTOzHnSbECSdnv89sI/HXht4tmp5dl7X1WetAHwYuLKPn2VmZv3UU6fyXpJO\n",
       "Ak4GrujDsRu5F7UP8PvavoNqkiZVLXZEREcfYjIzG7IkTQQm9nX/nhLC9cBcYCVJ82rei4hYpZdj\n",
       "PwesU7W8DqmV0JWD6eV2UURM6uXzzMyGtXyh3FFZllRqZP9ubxlFxPERsRpwXUSsXPPVWzIAuB/Y\n",
       "WNI4ScsCBwHX1G4kaVXgg8DVjQRuZmYDq9cSmhGxr6S1gPfkVfdGxAt17LdA0tHAjaRhp+dFxAxJ\n",
       "R+X3J+dNPwrcONhV2MzMbEm9DjvNncrfAW4nPZT2AeD4iPhF8eEtjsHDTns6voedmlkXBvJJ5Yqv\n",
       "Ae+ptAokrQncCgxaQjAzs+LV8xyCgL9VLb+Y15mZ2RBSTwvhBuBGSZeSEsFBpBFIZmY2hNTTqXy8\n",
       "pP2BHfOqyRFxVbFhmZnZYKunhUBEXImfIjYzG9KKnMvIzMzaiBOCmZkB9dVU3leSE4eZ2RBXz4n+\n",
       "IOBJSd+WtFnRAZmZWXP0mhAi4jBgPPAUcKGkuyR9TtLKhUdnZmaDpq5bQRHxD+CXwM+BtwMfA6ZK\n",
       "OrbA2MzMbBDV04ewn6SrSFOqjiJNY7EnsDXwH8WGZ2Zmg6We5xA+DvxPRPyuemVEvCrpX4oJy8zM\n",
       "Bls9CaEMPF9ZkLQ8sFaulXxLYZGZmdmgqmf66/uBHSLijby8HHBnRGw3CPFVYmj76a8nMWkksBvw\n",
       "aKlUera3fRo6vqe/NrMuFDH99chKMgCIiNcljepTdMNQuVzebHd2B/g7sBqpU97MrOXU00K4BTg7\n",
       "Iq7Oy/sBx0bELoMQXyWGQlsI6ujo+YfQRyMXLeKARx9lkzkvoqUv4G8EbgYez19Pl0qlhX35HLcQ\n",
       "zKwrjZ4760kIGwGX0HllOxs4PCKe7HOUDWrnW0blcnmZDjoWTmTiAmAu8CgwsYddniLVnp5KShQz\n",
       "S6XSP3r6DCcEM+vKgCeEqgOvDEREvNLX4PqqnRMCLO5D2BP4SKlUWvzsRrlcXgPYFNgMmADsA7yt\n",
       "m8MsItWmuIXOVsUzpVJpoROCmXWlkIQgaW9gC2B0ZV1EfKNPEfbBUEgIUQqVy+VlSqXSot62L5fL\n",
       "ywIbkBLFFsAepFrWXXrxxbGsvvqcM4BpdLYq5g1M9GbWroq4ZTQZWB7YGTgHOAC4JyI+259AGzFU\n",
       "EkJ/j1MulwWsQUoUmwLvBfYF3tLNLguA64DbyImC1KroNSmZWfsrIiFMj4itJD0cEVtLWgm4ISLe\n",
       "399g6+WE0MvxRUyaVB4NbEhKFFsCHwHe18Nuj5P6KqaREsXMUqk06LcDzaw4RSSEeyNigqS7gf2B\n",
       "F4FHImKj/oVav7ZPCMvPCeaPLfIj5kbQ5QfkVsVb6OyreB+pr2L1bo71OvBb0lQlM0mJY7ZbFWbt\n",
       "p4iE8HXgB6RbRj/Mq8+JiK/3OcoGtX1CaNFO33K5vBywEZ19FXuTOre78yhwNfBwqVT6efERmll/\n",
       "DGhCyIVx3hcRd+bl0cDoiHip35E2wAlhcOVWxVvpbFXsSGpVrFrZplQqtc33YzZcFdFCeCgi3t3v\n",
       "yPrBCaF1lMvl5R977LGNr7jiih0j4seV9ZK+A+xJ6sT+E/BqRPysel9J44BrI2KrvHwZqWVyfkR8\n",
       "X9IZ+f3bJT0NbBMRc/oSp6RXImKlHt7fGvhio4MjJG0KTCYlx+WA3wFfAp4F1o+IeVXb/hq4FFgB\n",
       "OB/YLSJuze99FPgV8ImI+FUjMZjVq+FzZ0T0+AWcAXyCnDya8ZXCbM5nD0z80dbxd/H/MQ6YXrPu\n",
       "pd5+R6r3I7VAnqh6b2Xg3qrlWcDq/YhxXh3bdABvafC4NwL7VC1vmf+9BDiiav2qwN9IQ7U/Teq8\n",
       "P6fq/Z8DDwIfb/b/p7+G7lej5856CuT8G3AF8Iakefnr5XoTjg1JpwEbSpqaS6teDawEPCjpQEmT\n",
       "JH0ZQNK2kqZJegj4QtUxbgLWzsd4P7Af6aG7aidIeljSPZI2zMcbJ+m2fMxbJK2T16+fq/k9LOmb\n",
       "lQNI+mmebqWyfImkffLi9aRh1I14K/BcZSEiHs0vLwMOrtruY6TRePOBAO4AJkgamUfqbUhKEkOi\n",
       "5WhDQz0lNFeKiGUiYlRErJy/Vqnn4JL2kPS4pCckndjNNhPzSeERSR0Nxm/NcSLwp4gYHxEnRMR+\n",
       "wGt5+QrSCbByL/IC4AuRbjtW35/cp+oYvyf1U9xf8zkvRcTWpEENZ+Z1ZwMXRMS7SFflZ+X13wd+\n",
       "mLf/S9UxziVdoSNpVdIoq9/m9+4FPtjg9/4/wG2SrpN0XD4mpAS3jaQxeflgUpKoCNLcVR8mPTty\n",
       "TYOfa1a4eiqmfbCrrzr2G0H6Q96DdJ/4EEmb12yzGmnk0j4R8U7SrSlrfXVd1eaT5ar5hA9Q3adQ\n",
       "e4z1qKq7kVVOqJfT+UzF9qT78gAXA5XnYXao2v7iygEiFXbaWNIawCHALyOiMoT2edJtrLpFxIXA\n",
       "5sAvSHNS3S1pVKQZga8BDsif9W7S7aVqP88x1CYLs5ZQz/TXJ9B5ZTeaNCzxAdIw1J5MAJ6MiKcB\n",
       "JF1Oui0wo2qbQ4ErI2I2QET8ve7IrR31lkh6ukCpbl00epvlp8DhwEHk1kLVcZYaVSHpfGA88FxE\n",
       "7L1UIBHPk1o+F0iaDryTNBnhZcDX83F/HRELa/a7T9I7gX9GxBOS7xZZa6nnltHeEbFP/tqN9Mtf\n",
       "z7DTtUkjLypm53XVNgbGSpoi6X5Jh9cbuDXVPFIncE8UEf8AXpK0Y153WA/b/5l0f37x/qQTOPnf\n",
       "P+TXf6DzXv1hpFE+AHfWrK92IXAcqYPt8ar1b8ufu4SIODLfyloqGUj6cKUeiKS3kh7wq/QpdACb\n",
       "kPpKqlsA1Wf+k4BTao9r1grqaSHUmk1qMvemnmlURwHbALuQhubdJenuiHiidkNJk6oWOyKio47j\n",
       "WwEi4kVJd+ar4+si4kSW/v+uLH8GOF9SkO6zRxfbAPwe2A64suq9MZKmAfNJt1oAjiFdmR8PvJCP\n",
       "D/BF4NLcV3V19bEj4gVJjwFX1cQ4gc6EUq/dge9Lmp+XvxIRL+TPCUm/AA6IiNtrvs/KkI8bao5X\n",
       "SC0OG54kTaTn6fV73j8PTerpA86uWlyGdG90VkR8spf9tgcmRcQeeflkYFFEnF61zYnA8hExKS+f\n",
       "SxqZ8cuaY0X4OYQhLY+8mRIR7yng2CsADwPjY8nnBDqAAysndLOhptFzZz3DTh8gjf64n9RcP6G3\n",
       "ZJDdT+rMGydpWVKzv3ZkxdXA+yWNyH+07wUeqzd4Gzoi1dmYImmngTyupF1Jv1Nn1SSDrUl9XE4G\n",
       "Zlk9LYSVSEMKF+blEcByEfFqrweX9iQNFxwBnBcRp0o6CiAiJudtvkJq9i8iPbhzVhfHGRIthHK5\n",
       "PKpUKr3Z7HjMbHgoYuqKu4Fd8xVcpXLajRGxQ78ibUC7J4TRo1+Pk08+7VRg9VKpdFSz4zGz4WFQ\n",
       "5jIa7PmN2jUhlMvlZYAvvf76smcst9wbi0gdmJOBZ/LX86VSaWFPxzAz66siEsKdwLER8UBe3g44\n",
       "OyJ6Kr4yoApPCGkETCHu3W47rvnwRxk1akFvm04jJYwZdCaMZ4F/lEolj0Qxs4YVkRDeQ3pStPIU\n",
       "6duAgyKidpqBwrRrC6Fi001nxqGHXv46cASppsC6+WszUq3kbes4zEvAXflrFilZPAM8VyqV3igi\n",
       "bjNrbwOeEPJBlyXNjQ8wMz+mP2jaPSHkEpcTgL+XSqVZ3W1XLpdHAGvRmTDWIyWLHYF31PFRM0mt\n",
       "jEfobGU8A7zoVobZ8FNEC+Fo4JKImJuXxwCHRMSP+hVpA4ZCQqiMMgIW9qccZblcXgFYh86ksQGp\n",
       "lfFeYNledn+NNKHbHcBTVN2aKpVK83va0czaTxEJYVqeWbJ6nTuV61Qul49/6qn1v73BBrNmk6ZJ\n",
       "+GCR9YlztbM1ScmikjjeTUoaG9ZxiF1LpdKtRcVnZoOn0XNnPVNXLCNpmcoMkfk5hFF9DbAVqVxc\n",
       "p/Lu7M724wTpls/VpIcBC0sI+dbQC/mry36eXEt5bTpbGeuTbku9E+j1+RIzG5rqaSGcQTppTCZN\n",
       "0nUU8ExEfLn48BbH0M4thHERzKqZ2HIv4PpWvK+fp6w+NIopj/mb/s5B1VV83Wy3HKn+wMSq6a7r\n",
       "Of4KwDnAVqTf97mk7/03wKkRcVPVtseRJrM7ndTR/62I+Hp+bw3SQIz/jYhj6v8OzQZOEbeMRgCf\n",
       "I01AB+mP7NzaqX2L1M4JAeCgg66ILbaYsQnpJFOZvO3vpNsz05oX2dJqT+x53UvAmOjhl6V6vzwL\n",
       "6B0RsXF+b2Xg1oiYUER8PWz7LeCBaKBmcZ5za/WI+Epe3ph0q+9TwPsi4siqbe8CjieN+LqNVNBn\n",
       "2/zev5P+bu6IiGPr/XyzgVTIKKOaD/gAcHBEfKHXjQdIuyeE0aNfj/nzlxNAuVxeljQz57fz27cC\n",
       "R5RKpb90t/9gynUr9iWNWLqZNLpsL2A6cCrpqn9eRHxX0rak4vGVamB75ITwMLBRPsYxpCI0W0TE\n",
       "KfkzniYVudkTWEg6cZ5G6iD/TtW0JseTSlwuB1wVEZNq4rsJ+AbpVtwY0q3Mr0XENXn/95JmI627\n",
       "TKak7wN/jojv1awfS3pGZO2IWJAT0+0RsV4lSZGeJfmfiHhA0pQc39vdQrBmKWrY6Tak6YcPAJ4m\n",
       "FbU5u8edBlC7J4SuZjstl8tjSOUYP5VXnQl8vVQqvTLY8VWTtB7p1k51C2FeRKycX5dICeF7+cT/\n",
       "+Yj4vaRvA3vmhLDEMST9GLi5cqUuaRZwWkRMlvQ9YFdSRbTlgUci4q2Sdgf2j4ijJC1DOul/mzQq\n",
       "qvrYI4AVImJevk1zV1XLZDngqYiorcPR0/f/LtKJ/E+kZH1RRDyZ37uWNN/WNZJOAsZGxAlVCeFk\n",
       "4EOkcp4XkirEbeeEYM0yYLOdStpUqVj6DNLJ6hlgmYiYOJjJYKgqlUpzS6XSp0kjfx4iFXCZVy6X\n",
       "P5efR2iWwSqPWZn5djrpJP7PSBXzXs/H3h3YXdJU0oy7m5JaHbXHXgY4NddNuBl4u6S3AETE66RB\n",
       "EaPr+Z7yPtPILRVgLHCfpM3y25fRWYTnIJYug3kjsFve5uf1fqZZq+hp+usZpOI1H46ID+Yk4Hl3\n",
       "BlipVHqqVCqNJ9UEXkjqvF9QLpd3b25kDWu0PObr+d9FQPWDjovoHP12aqTKZeMjYpOIuKCL4x4G\n",
       "rAFsExHjSaOrqhPAUmUyJX1e0lRJD+b+jiXk5HRVvi16MfCR/NY1wC6SxpNaJVNr9nuTlLz+g1Rz\n",
       "uW1btTY89ZQQPk56kOl3kv5X0i74F7wwpVLpLtI98ErZyBvL5fLscrn8zkEOZTDKYy5xrC7WBelq\n",
       "+0hJKwJIWlvSml3EtwrwQkQszLUU1lt84HTLaGFuKXQePOJHOclsExH/t0Qw0g754cvKE/pbkG6T\n",
       "Lq7ZQKqnfGk33893gRMjop4ys2YtpduEEBG/joiDSGPT7wC+BKwp6cf5/q4NsFKpFKVS6QrSFe7X\n",
       "SM8KTC+Xy78tl8vdnVAHVES8CNwpabqkSnW7nspj/jDf1qndrqvymF29F10sExE3k066d+W+il8A\n",
       "K3UR3yXAdnmbw0kt24rxpLmfGrEh0JGP9yBwX80opctIo8VqbxdV4n6sakhu7fdm1tIaGmWUR1p8\n",
       "gjTKaOfColr6c4dcp3I9yuXy6sAP6Lxv/W2gXCqV2urhMRVYHrOXz/1v0gm9tpay2bBQ+LDTZhiu\n",
       "CaGiXC5vDPyadPsC4EjgoiKnwBhoeRTS9RExZZA+r/Jg2od6en7CbChzQmhB/U0IFeVy+QOk2Uwr\n",
       "dimVSrf197hmNjQ5IbSggUoIsLgK28Gke+eQpkzYq1Qqzeh+LzMbjpwQWtBAJoSKcrk8mvQg1H/m\n",
       "Vb8GjiqVSi8M5OeYWftyQmhBRSSEinK5vCbwv6RhwgD/BZxaKpVeK+LzzKx9OCG0oCITQkW5XN6M\n",
       "NCNnpebB4cCl7dTxbGYDywmhBQ1GQqgol8s7kWberPhQqVT6XXfbm9nQ5YTQggYzIcDijucjSE/U\n",
       "AjwO7Fcqlf44WDGYWfM5IbSgwU4IFbn+8tdInc//AMb6FpLZ8DFgs51a+yuVSq+WSqVTSPMI7VZ0\n",
       "MpB0nKTla9bdImllSeMkTe/P8SR1OTW4pGMlHd6HeDsk3Ve1vF2uY9DVtgvzhHgPSXpA0vsa/Tyz\n",
       "VucWwiBoVgthsOU6B9vl+YaQtDOppsEXGql01sPxFtdlqNmuTxXZJHWQivf8W0TcIGk7UoGenbrY\n",
       "tromxO7AKRExsZHPMxtsbiFYtyQdIWlavsr9aV43TtJtef0tktbJ6y+UtH/Vvq/kfyfmK+tfSJoh\n",
       "6eK8/ljg7cAUSbfm3Q4lFbapGCnpYkmP5f2Xz/vukqeifljSeZKW7eZ4SPpmjv+uqroH84AXJW3Z\n",
       "4I8kgDOArza436rAnBzPSvnn9kCOf9+8vizpi1Vxfyt/T0g6XtK9+Wc+Ka9bUdJv8/c2XdKBDcZk\n",
       "1n8RUdgXsAepQ/MJ0pTAte9PJN3bnpq/vtbNcaLIOIv+SuE3Owa2JJWdHJuXV8v/Xgscnl9/hlSq\n",
       "ElKH9P5V+8+r+j97iXSyFvAHYIf83qzK8fPyjKrPG0eqdfC+vHwe8GXSzK7PABvl9RcBX+zmeIuA\n",
       "vfLr04GvVr1XBv69wZ/JFGBbUmW0ifn1lG62XZB/R2fk73+bvH4EsHJ+vQbwRH69HqmeM6QLrydJ\n",
       "ZT53ByZXrb8W+ADpOZKfVH3eKs3+nfFX+381eu4srIWgVNrwB6SksAVwiKTNu9j09ugsgvLNouIx\n",
       "dgauiIg5ANE5X//2dM7tfzHw/jqOdW9E/CXSb9xDpJN9V95e+bzs2YioTEdd+axNgFmRy1SSEsIH\n",
       "uzneGxHx2/z6gZrP/UsPcfTmm6TO9568ln9HNyf9Tv80r++yYltE/JnUank3KQk8GBFz6b4S3HRg\n",
       "N0mnSXrrGtoHAAAQNElEQVR/RLzcx+/FrM9G9r5Jn00AnoyIp2Fx8fb9WHK+enDRncESdP+z7mr9\n",
       "AvItRaWaxstWvVddcGYh9f8eVXdYLVXJrJf1AG9Wva6urNblfvmi5P68eHVETOoqpoiYIumbpOTY\n",
       "q4i4W9IaSgV79qKzYtvC3O9Rqdh2LqnVtRZwftUhTo2In9QeV6kS217ANyXdGhH/VU88ZgOlyD6E\n",
       "tYFnq5Zn53XVAtgh30u9TtIWWFFuAw5QqmmBclUw0i2fSr2Fw+icTfVp0i0UgH1J1dx6M49Uwazi\n",
       "L5JWr1peV1LlpHsoqfDSTGCcpOonrG/v5ng9eVuOebGIWFjV+pzUy/7fBE6kjoI2SjWWlwFepIeK\n",
       "bcBVpNbEdqQKcNBNJThJbwPmR8QlpH6NbXqLw2ygFdlCqGf40oPAOhHxqqQ9SRO0bVJgTMNWRDwm\n",
       "6VvA7ZIWkn72RwLHABdIOp5Uj/gzeZdzgKslPQTcAFQP+ezu//YnwA2SnouIXeislFY5Gc4EviDp\n",
       "fOBR4McR8bqkzwC/kDQSuJc0N1NXx+up0toE4CsN/EiWEBHXS1o8MaCktwPnRMReedXy6qwMJ+BT\n",
       "EbFI0iXAtUoV1u6nqgUcEW9Kug2YG503dG/Ot07vkgQp6R1Oum30HUmVGtP/3tfvxayvCht2mq8E\n",
       "J0XEHnn5ZGBRRJzewz6zgG1r7jsjKUidhhUdEdEx8FEXY7gMO60laSJwUEQUenKTtApp2OmgVmTr\n",
       "Tb7V9gDwiYj4U7PjsaEv/81NrFpVilZ4Ujlf7c0EdiF1+N0LHBIRM6q2WYvU3A5JE0idnuO6OFY0\n",
       "8k21muGaECA9mAZ8LNLQ0KI+41hgTkRcXNRnNCrf/rwW+FVEHN/seGx4avTcWeiDafk20JmkoXnn\n",
       "RcSpko4CiIjJkr5AahovAF4F/iMi7u7iOE4IZmYNaqmEMFCGQkKYNKm8bKlUerP3rc3MBoafVG5B\n",
       "yy//KsBZzY7DzKwnRY4yMqBcLq974okA7INHjphZC/MtI9ItnaKOffDBl7PZZjNrV19Peqp1Rv56\n",
       "1tNSm9lAcx9CiymXy+NJY/5/CYwlTSHRnWmkyeAeISWKJ0ql0us9bG9m1i0nhBZULpfPAc4ulUoP\n",
       "52UBawKbAZsDO5KeBl61m0O8QHpo7x5Soni8VCrNLTpuM2tvTggtqFwuvwWYVyqVXqtj2xVIE55t\n",
       "Brwb+CjdP70dwG+BL5ZKpacGKFwzGyKcEIaocrk8gjSb5+b5a0+gUshls1KptFRHhZkNb04Iw0y+\n",
       "/cSkSZPmRcRKte9LupBUqezKno4j6Yy83e2SnibN3jmnp32q9t0P+GPlKXSlSmRfjogHarbbmlTr\n",
       "4LP1HLdqv0nAvwB/A1YkTRX9teqn3vN2pwAH5MWtgYfz6/Mi4geNfKbZUOCEMEyp+/KSF5BO9L/q\n",
       "Yd8lSlCqpnRlHZ99IVVJR6ku8VdqE0J+rwM4MCJeqH2vh+OXSAV6vpeXDwS+D2wVEX/vZp+lfh7K\n",
       "s8lFO/zSmw0AP5g2zCn5gaTHJd0MvKXqvf/MpRunS5pctdt+wC01hzpBqSTkPZWpqdVFuU1JO5Ce\n",
       "sfiOUhnMDfL+B+R9Z0qqLrpzPZ1X8Q19a5UXEXEFcBNpCu2ed0oxz5R0EallsY66KGGZt/1kjnmq\n",
       "pP+VtIykEUrlRKfnn8dxfYjdrC04IQw9HyN1Qm8OHAHsUPXe2RExIVKh++Ul7Z3X70hnIZmKlyJi\n",
       "a1LVuzMr+wMXRMS7gEuAsyLiD8A1pBbBNhFR6dweERHvBY4DSlXHvZfuK6I14kFSx3s9NgJ+GBHv\n",
       "zPtslFtD44FtJX0gT0l9IKkc6HhS4Z/DgHeRKr9tlX8eFwxA7GYtyQlh6PkgcGkkz5MK41TsLOnu\n",
       "PHf/zqTSppCKujxfc5zL8r+XA+/Lr3sqt1nbLK3conqQJUtbPk/fS11Wa+R3988RcW9+3V0Jy11I\n",
       "BYHuz+/tAqwPPAVsIOksSR8GXNrShixPXTH0dFkqU9Jo4IekehPP5fvyo6s26ekEW1v6srdtoLPM\n",
       "Zm2JzS5LZOaiOeOB5yJi79r3uzCe1Nqoxz9rlpcqYSnpaOCiiDili9i2JlU++zdSK6KhTnGzduEW\n",
       "wtDzO+CgfP/7bXQOTa2c/F+UtBJL3sf/M/DWqmUBB+XXB5HKbEL35TYbLXX559qVEXFkpFKXvSYD\n",
       "SfsDu9LZimlElyUsgVuBT+TXSBoraV2lEqAjc6f813FpSxvC3EIYOiolGq+StDPwGPAM+WQeES9J\n",
       "Ooc0Lcb/kZ56rqiUuryy6lhjJE0D5gOH5PXdldu8HDhH0jF03WFcW+ryd11s05svSfokncNOd66M\n",
       "gpJUBu6PiGu7+czFr7spYfnJiJgh6WvATUqVzt4EPk/6/i/I6wBO6kPsZm3Bw06N3GKYMhglKPsy\n",
       "7NTM+sbDTq1hEfEKMEXSTr1u3A/5XvyTTgZmrcktBDOzIcotBDMz6xMnBDMzA5wQzMwsc0IwMzPA\n",
       "CcHMzDInBDMzA5wQzMwsc0IwMzPACcHMzDInBDMzAwpOCJL2yKUcn5B0Yg/bvUfSAkkfLzIeMzPr\n",
       "XmEJQdIIUvnFPUiVuQ7J0w53td3pwA10X3ylrUma2OwY+qOd42/n2MHxN1u7x9+oIlsIE0gzWz4d\n",
       "EW+S5szfr4vtjgF+CfytwFiabWKzA+inic0OoB8mNjuAfprY7AD6aWKzA+inic0OYDAVmRDWBp6t\n",
       "Wp6d1y0maW1SkvhxXtX6U6+amQ1RRSaEek7uZwInRZqDWwzRW0ZmZu2gsHoIkrYHJkXEHnn5ZGBR\n",
       "RJxetc1TdCaBNYBXgX+NiGtqjuWWg5lZHzRSD6HIhDASmAnsAvwFuBc4JCJmdLP9BcC1uZi5mZkN\n",
       "spFFHTgiFkg6GrgRGAGclwuZH5Xfn1zUZ5uZWePaooSmmZkVr6WfVK73wbZWJGkdSVMkPSrpEUnH\n",
       "NjumvpA0QtJUSdc2O5ZGSVpN0i8lzZD0WO7XahuSTs6/P9MlXSppuWbH1BNJ50v6q6TpVevGSrpZ\n",
       "0h8l3SRptWbG2JNu4v9O/v2ZJulXklZtZozd6Sr2qve+LGmRpLG9HadlE0K9D7a1sDeBL0XElsD2\n",
       "wBfaLP6KLwKP0Z5Dgr8PXBcRmwNbA132X7UiSeOAfwW2iYitSLddD25mTHW4gPT3Wu0k4OaI2AS4\n",
       "NS+3qq7ivwnYMiLeBfwROHnQo6pPV7EjaR1gN+DP9RykZRMC9T/Y1pIi4v8i4qH8+hXSyejtzY2q\n",
       "MZLeAXwEOJc2GxKcr+Q+EBHnQ+rTioh/NDmsRrxMuqhYIQ/QWAF4rrkh9Swi7gDm1qzeF7gov74I\n",
       "+OigBtWAruKPiJsjYlFevAd4x6AHVodufvYA3wNOqPc4rZwQen2wrV3kq73xpF+odvI/wPHAot42\n",
       "bEHrA3+TdIGkByWdI2mFZgdVr4iYA3wXeIY0Su+liLiluVH1yVoR8df8+q/AWs0Mpp+OBK5rdhD1\n",
       "krQfMDsiHq53n1ZOCO14i2IpklYiTc3xxdxSaAuS9gZeiIiptFnrIBsJbAP8KCK2Af5Ja9+uWIKk\n",
       "DYHjgHGkluVKkg5ralD9lB9Abcu/a0lfBd6IiEubHUs98sXPKUCpenVv+7VyQngOWKdqeR1SK6Ft\n",
       "SBoFXAlcHBG/bnY8DdoB2FfSLOAyYGdJP21yTI2YTbo6ui8v/5KUINrFdsAfIuLFiFgA/Ir0f9Ju\n",
       "/irprQCS3ga80OR4Gibp06Rbp+2UkDckXUxMy3/D7wAekPSWnnZq5YRwP7CxpHGSlgUOAq7pZZ+W\n",
       "IUnAecBjEXFms+NpVEScEhHrRMT6pM7M2yLiiGbHVa+I+D/gWUmb5FW7Ao82MaRGPQ5sL2n5/Lu0\n",
       "K6lzv91cA3wqv/4U0FYXRpL2IN023S8i5jc7nnpFxPSIWCsi1s9/w7NJAxR6TMgtmxDyVVHlwbbH\n",
       "gJ9395Rzi9oR+CSwUx62OTX/crWrdmzqHwNcImkaaZTRfzc5nrpFxDTgp6QLo8o94J80L6LeSboM\n",
       "+AOwqaRnJX0GOA3YTdIfgZ3zckvqIv4jgbOBlYCb89/wj5oaZDeqYt+k6mdfra6/Xz+YZmZmQAu3\n",
       "EMzMbHA5IZiZGeCEYGZmmROCmZkBTghmZpY5IZiZGeCEYC0gT817RtXyVySVetqngWNfKGn/gThW\n",
       "L59zQJ5i+9aiP8usKE4I1greAD4mafW8PJAPx/T5WHmW0Xp9FviXiNilr59n1mxOCNYK3iQ9hful\n",
       "2jdqr/AlvZL/nSjpdkm/lvQnSadJOlzSvZIelrRB1WF2lXSfpJmS9sr7j8jFT+7NxU8+V3XcOyRd\n",
       "TRdTXUg6JB9/uqTT8rr/JD2Zfr6kb9dsL0k/ykVWbpL028r3I+npStESSdtJmpJfr5gLntyTZ2rd\n",
       "N6/fMq+bmmPeMG/7W0kP5ZgOzNtuK6lD0v2SbqiaT+hYpaI70/LTrWaLFVZT2axBPwIerj2hsvQV\n",
       "fvXy1sBmpHngZwHnRMQEpep0x5ASjID1IuI9kjYCpuR/P0WaUnqCUiWy30u6KR93PKkoyhJFRSS9\n",
       "nTT1wjbAS8BNkvaLiG9I2gn4ckQ8WBPv/vnzN5e0FqkuxnndfG8VXwVujYgjlSqM3SPpFuAo4PsR\n",
       "cWluvYwE9gKei4hKolslT6p4NrBPRLwo6SDgW6RWzInAuIh4U9Iq3Xy+DVNuIVhLiIh5pLl7Gik1\n",
       "el9E/DUi3gCeJM17BfAIaaZHSCfdK/JnPAk8RUoiuwNHSJoK3A2MBTbK+9xbmwyy9wBT8gykC4FL\n",
       "gA9Wvd/V9MI7Vn3+X4EpdXxfuwMn5dimAMsB6wJ3AadIOoF0Up9Pmudot9xCen9EvAxsCmwJ3JKP\n",
       "8VU6a4k8DFyqNJX2wjpisWHELQRrJWcCD5LKAVYsIF+4SFoGWLbqvderXi+qWl5Ez7/blSvzoyPi\n",
       "5uo3JE0k1U7obr/qk75Y8iq/uyv+2n0qFn9vwOiafT4eEU/UrHtc0t3A3sB1ko6KiCmSxpNaCt/M\n",
       "ndpXAY9GRFfTZe9FSmL7AF+VtFVObmZuIVjriIi5pKvpz9J5cn0a2Da/3hcY1eBhBRyQ7+VvCGxA\n",
       "mlr6RuDzlY5jSZuo94pq9wEfkrS6Us3vg4Hbe9nnTmD//PlrAR+qeu9pUt0DSLeWKm6kqqWUT/hI\n",
       "Wj8iZkXE2cDVwNZKNQbmR8QlwBmk210zgTUlbZ/3GyVpC0kC1o2IDlKxoFWBFXuJ34YRtxCsFVRf\n",
       "WX+XNO15xTnA1ZIeAm4AXulmv9rjRdXrZ4B7gVWAoyLiDUnnkm4rPZhPlC8AH6vZd8mDRjwv6STS\n",
       "bRwBv4mIa3v53q4EdiFN4f4sqQVUqe1cBs6T9DLQUfW5/wWcKelh0kXbU6RkeKCkw0md8M+T+gUm\n",
       "AN+RtCiv/7fcP/AJ4Cyl2tIjSeVQ/wj8LK8TqT/i5V7it2HE01+bFUzSihHxT6VhtfcAO/RWqMSs\n",
       "GdxCMCveb/JooWWBbzgZWKtyC8HMzAB3KpuZWeaEYGZmgBOCmZllTghmZgY4IZiZWeaEYGZmAPw/\n",
       "ys5+VS2zKbUAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f4c3e90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEPCAYAAABCyrPIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmYHFXVx/HvLxsBwpKwKRgI+44GMGyKw2oQCCpC2BV4\n",
       "FRdAlB31rbQvyCIqi1tkCSCbKCL7TgYQgbCEECBEMAmQgKAhQFgCJDnvH/d2ptLp7qmemZrunjmf\n",
       "5+lnuqqrbt2ZdOrUrXvrHpkZzjnnXJ96V8A551xj8IDgnHMO8IDgnHMu8oDgnHMO8IDgnHMu8oDg\n",
       "nHMOyDkgSLpU0uuSJlfZ5gJJL0iaJGl4nvVxzjlXWd4thHHAyEofSvoSsJ6ZrQ98C/hdzvVxzjlX\n",
       "Qa4BwcweBOZU2WQUcHnc9lFgRUmr5Vkn55xz5dW7D2EN4JXU8kzgU3Wqi3PO9Wr1DggAKln2uTSc\n",
       "c64O+tX5+LOAoanlT8V1i5HkQcI55zrAzEovuiuqd0C4CTgauFbStsBbZvZ6uQ1r+aUajaQxZjam\n",
       "3vXoqGaufzPXHbz+9ZZ3/ZdrvXnhuyyX37ltp51q2jzXgCDpGuALwMqSXgESoD+AmY01s9skfUnS\n",
       "i8B7wOF51sc55xrJe3vsIOYNqXc1Fsk1IJjZgRm2OTrPOjjnXEcdcggnt7Yqyat8m2eYLdGP2mWk\n",
       "2vpk1Qz5ECRZk98yajGz1nrXo6Oauf7NXHfIv/6trXoTGJxX+U89BZ/5TF6l52+PPW6yefP2zu/c\n",
       "M/BN7IMhOQaE2s6dHhCca2B5n7CBOS0t1jj3LBqMhDEmv1PPih/AnLPyO7fVeu6sd6eyc666wS0t\n",
       "fjFUiZb7eCHv9s/3Cj7pPX9/DwjOueb1bn/leg++sJL1pkejPCA453KT+xX80nNQYUhuZ+zBH+RV\n",
       "cmPygOCcy0/uV/BD8n7KYQ5n5Vp+Q/GA4FwndEenb45ldwsV8ptpYPAHgA846TIeEJzrnKbu9FUh\n",
       "74Bm+XbKStabruDz5gHBud7srNmDc31SdtDHFicncE3AA4Jzvdm8Ibk+KevBoLl4QHCugam1Nedb\n",
       "Oi35Fe2ajgcE5xrbYGtpyW+UTm8aZO/a5QHBuUb20Ch0/9wcT9o5xwP5KKxm4gHBuUY2f26uo3Q0\n",
       "JvcWwmAfFto8PCC4Hs2fE3AuO5/t1PVora2yPJ8TyL3Td48tyHNY6IrMsTnkN/0yMAfz2VTrxWc7\n",
       "da575dvpOw/LdViohpjf0nFFfepdAeecc43BA4JzzjnAbxm5BpBzx693+jqXkQcE1wiad4K4Zn9O\n",
       "wLkUDwjOdUZ3PCeg/KaPxltQLsUDgnOdcdbsXB/uGsybPt+/6zYeEJzrjLxnC1Xvyunr6ssDgmuX\n",
       "P+3rXO/gAcFl0bSdvj59tHPZeUBwPZ1PH+1cRh4QXM/mw0KdyyzXgCBpJHAe0Be42MzOLvl8MHAp\n",
       "sA4wDzjCzJ7Ns06ul/Fhoc5llltAkNQX+DWwKzALeEzSTWY2JbXZacCTZvYVSRsCv4nbO9c8fFio\n",
       "6yHybCGMAF40sxkAkq4F9gHSAWFj4CwAM5sqaZikVczsPznWyzWYXDt+u+M5AXx2Z9cz5BkQ1gBe\n",
       "SS3PBLYp2WYS8FXg75JGAGsBnwI8IPQuuXX85j99tD8n4HqOPGc7zfK/5CxgRUkTgaOBicCCHOvk\n",
       "nHOugjxbCLOAoanloYRWwiJmNhc4orgsaTowrVxhksakFlvNrLWrKup6OO/0db2EpBY68XBMngHh\n",
       "cWB9ScOAV4HRwIHpDSStAHxgZh9J+iZwv5m9W64wMxuTY11dT+advq6XiBfKrcVlSUkt++cWEMxs\n",
       "vqSjgTsJw04vMbMpko6Kn48FNgEuU7iCewY4Mq/6uI4bxY3MbW31q2znejiZNX6HWK2JonubvOca\n",
       "2onx5Pm0b56knDuVnWtgtZ47/UnlniHfuYbybR2gQp4BrfEveJxrFB4QXCMYnNfTxHk+g+BcT5Pn\n",
       "sFPnnHNNxAOCc845wAOCc865yAOCc845wAOCawRnzUbC8nityBzvVHYuIx9l5Oov10T1eaaCdq5n\n",
       "8RaCc845wAOCc865yAOCc845wAOCc865yAOCc845wAOCc865yIed9gCer8A51xXaDQiS1gNmmtk8\n",
       "STsBmwNXmNlbudfOZTKX5Zs2X4FzrnFkaSFcD2wVA8NY4EbgauBLeVbMNY588xWA5yxwrjFkCQgL\n",
       "YzrMrwIXmtmFkibmXTHXUHLLVwCes8C5RpGlU/kjSQcBhwG3xHX986uSc865esjSQjgCOAo4w8ym\n",
       "S1ob+GO+1XINR8rxKt4bCM41gnYDgpk9K+kUYM24PB04O++KuQZTQ6LumskjgnONoN1bRpJGAROB\n",
       "O+LycEk35V0x55xz3StLH8IYYBviWHQzmwisk2OdnHPO1UGWgPBxmWcOFuZRGeecc/WTpVP5WUkH\n",
       "A/0krQ8cC/wj32o555zrbllaCMcAmwIfAtcA7wDH5Vkp12ByTHGp0KHsU2M41wBkln2Ah6S+wCAz\n",
       "ezu/KpU9rlmeo1xy1tqa75O+OzE+16krJCy/FJfOubzUeu7MMpfRNYTnEBYAjwErSDrfzM7peDV7\n",
       "ncEtLTkGtHwntnPO9RJZbhltYmbvAF8GbgeGAYfmWSnnnHPdL0tA6CepPyEg3GxmH5Px0VJJIyU9\n",
       "L+kFSSeX+XxlSXdIekrSM5K+UVPtnXPOdZksAWEsMAMYBDwgaRjQbh9C7G/4NTAS2AQ4UNLGJZsd\n",
       "DUw0s88ALcAvJHmOBuecq4MsU1dcAFxQXJb0ErBThrJHAC+a2Yy437XAPsCU1DavAVvE98sDs81s\n",
       "fqaauzYPjUL3z/W5hpxznZKlU/n7wDhgLnAxsCVwCnBnO7uuAbySWp5JeOI57SLgPkmvAssB+2er\n",
       "tlvM/Ln49NTOuc7KcnvmSDM7X9IXgSGEDuU/0n5AyHISOQ14ysxaJK0L3C3p02Y2t3RDSWNSi61m\n",
       "1pqh/N7DZyN1rteT1EK4/d4hWQJC8cpzT+CPZvaMlOlidBYwNLU8lNBKSNseOAPAzP4laTqwIfB4\n",
       "aWFmNibLQXstn43UuV4vXii3FpclJbXsn6VT+QlJdxFSZt4haXmyzWX0OLC+pGGSBgCjgdJZUp8H\n",
       "dgWQtBohGEzLWnnnnHNdJ9MtI+DTwDQze1/SSsDh7e0U024eTbi11Be4xMymSDoqfj4W+BkwTtIk\n",
       "QnA6ycze7ODv4pxzrhOyBAQjzGW0F/BTYFlgYJbCzex2wsNs6XVjU+//C+ydtbLOOefyk+WW0W+B\n",
       "bYGD4vK7cZ1zzrkeJEsLYRszGy5pIoCZvRmfXHYZjeJG5vp8Q865BpclIHwUnzoGQNIqeIKcmsxl\n",
       "+XxnI73fRwE55zovyy2jC4EbgFUl/Qx4CDgz11o555zrdlmmrrhS0hPALnHVPmY2pdo+zjnnmk+W\n",
       "qSvWBN4Dbo6rTNKaZvZyrjVzzjnXrbL0IdxG29wFA4G1gamEoajOOed6iCy3jDZLL0vaEvhebjVy\n",
       "zjlXF1k6lRdjZk+y5KylzjnnmlyWPoTjU4t9CNNfz8qtRs455+oiSx/CcrT1IcwHbgGuz61Gzjnn\n",
       "6kJmjf9MkySzPKd3zplaWy3XB9OWftOYNySv4gHmmJHrAZxzXa/Wc2eWW0Y3E1oIxUINeAd4DBhr\n",
       "ZvM6UlHXheYNwYymDZjOucaQpVN5OmFCuz8QUl7Oja8N4rJzzrkeIEsfwvZmtnVq+SZJj5vZ1pKe\n",
       "zatizjnnuleWFsKyktYqLsT3y8bFj3KplXPOuW6XpYVwPPCgpGJqy3WA70paFrg8t5r1ILNHjYK5\n",
       "c3PsvW/8gQHOucaXaZSRpIHARoQzzz/N7IO8K1Zy/KYeZYRk5Fh/CfNOZedcqVrPnT7stDt4QHDO\n",
       "1UGt586ap65wzjnXM3lAcM45B1TpVI55ECryfAjOOdezVBtllM6DkLZKfPUt85lzzrkmVTEglMmD\n",
       "MAw4BdgVOCPXWjnnnOt27fYhSNpA0mXAHcATwMZmdmHeFXPOOde9qvUhbA78iJAq8xzgSDNb0F0V\n",
       "c845170qPocgaQEwk5D/YGHJx2Zmx+Zct3Rd/DmEqsX7cwjOuSV15fTXR8afpRFDZdY555xrcrk+\n",
       "qSxpJHAeYUTSxWZ2dsnnJwAHx8V+wMbAymb2Vsl2Td1CGHKKbM7SOR5gjHk+BOfcEhpm6gpJfYGp\n",
       "hFFJswgJdQ40sykVtt8LOM7Mdi3zWVMHBBVklvgtI+dc92qkqStGAC+a2Qwz+xi4FtinyvYHAdfk\n",
       "WB/nnHNVVAwIks6OP/fvYNlrAK+klmfGdeWOtQzwReD6Dh7LOedcJ1XrVN5T0inAqcB1HSi7lntR\n",
       "ewN/L+07SJM0JrXYamatHaiTc871WJJagJaO7l8tINwOzAEGSZpb8pmZ2fLtlD0LGJpaHkpoJZRz\n",
       "AO3cLjKzMe0czznnerV4odxaXJaU1LJ/xVtGZnaima0I3GZmy5W82gsGAI8D60saJmkAMBq4qXQj\n",
       "SSsAOwI31lJx55xzXavdFJpmNkrSasBn46oJZvZGhv3mSzoauJMw7PQSM5si6aj4+di46ZeBO7s7\n",
       "C5tzzrnFZZnLaH9gArA/4Sp/gqT9shRuZreb2YZmtp6ZnRnXjU0FA8zscjM7qGPVbz6FQsGHhzrn\n",
       "GlK7LQTgx8Bni60CSasA9wJ/zrNiPU2hUNge+AHheYxz6lwd55xbQrsPpkmaDGxhcUNJfYBJZrZ5\n",
       "N9SvWIemfDCtUCgMAg6bw5zfDGbwe8BAYDyhw/5t4K34ejv18+0kST6q5Tj+YJpzrpwuf1JZ0s+B\n",
       "TwNXE+YxGg08bWYndaaitcg7ILS2KpfHtRcu7MusWSN4ftpODGDAPEJA6Ih3CKO2XgL+BbxKWzB5\n",
       "65JLDr/1yCPHbUZbYHkvSRKfb8q5Xi6XqSsk7QvsEBcfNLMbOli/DmnWFkLRMoVl7GRO/i1wFLAf\n",
       "cB+wArBi6mf6/ZrAOsBahIf5OjsT0gLgNeBlYAYhqMxh8dbJYi2VJEnmd/KYzrk6a5i5jLpSsweE\n",
       "4lxGhUJhPWB+kiQzOlNeoVAYSCqg/PGPhzx66KFXjk6tW5UQUIYRgsvKnTle9DbhyfNiK+U1qgQU\n",
       "4H1vpThXXx4QGlCjTW5XKBT6AsuxeKsk3VJZkRBM1qatlTKgA1X7YZIkv+rAfs65LtCV+RBcD5Uk\n",
       "yQLaruprFofODqR8QCn+XG3WrFnPS/qOmf2uuG/sk9oDuI3Q0njfzP6YLj/m7765OHBB0jXAJsCl\n",
       "Zna+pHPj5/dLmgFsaWZvZqm7pH2AfxZn3ZXUChxvZk+UbLcF8H0zO3LJUqqWvyEwNv4dlgIeIIwu\n",
       "ewVY28zmprb9G6FvbhngUmA3M7s3fvZl4K/A18zsr7XUwbmOajcgSBoF3GJmpVnTXC8VbwV9EF+v\n",
       "VdountjPAX6XWv1NYLBlbJpK+gSwtZmtH5eXA3Y0sxPiJgY1jbD6CnAzUJyGvWw9zOxpSetKWjXL\n",
       "g5gpFwC/MLObY303NbMPJN0Zj31FXL8CoV/ugPiaHH/eG8s5EHiqhuM612lZpr8eDbwo6RxJG+Vd\n",
       "IdejnAWsK2li/P7cCAwCnpS0v6Qxko4HkLSVpEmSngK+lyrjLmCNWMbnCFOo31NynJMkPS3pUUnr\n",
       "xvKGSbovlnmPpKGStidMpPhzSU9KWifuv1/cd2o8RtHthEEAtfgEYUQYAGb2bHx7DeGEX/QV4A4z\n",
       "m0cISg8CIyT1kzQIWBeYRG3BzrlOaTcgmNnBwHBgGnCZpIclfSteqTlXzcnAv8xsuJmdZGb7AB/E\n",
       "5esIJ8LiFfo44Htm9hkWv2rfO1XG3wlX1Y+XHOctM9sC+DUhQx/AhcA4M/s0cBVwgZn9gzCf1glm\n",
       "tqWZTYvb9jWzbYDjgPRkYBMI82zV4lfAfZJuk3RcbAlACGxbShocl0sndDTgbsI08KMoM++Xc3nL\n",
       "lCDHzN4G/gL8CVidcHUzUdKxOdbNNb9MV7fxpLlCPOEDpPsUSstYiyVvUxVPrNcC28X32xLuzwNc\n",
       "CaSv/EvLLN6jf5LQmV70Wslyu8zsMkIq2D8TpiF+RFJ/M/uIcJLfT9LKwGcI83yl/Ylwq6jd2X+d\n",
       "y0OWuYz2kXQDYUrV/oRpLPYAtgB+mG/1XC/VXiCp9r1Nty4qlVPab/Bh/LmAxfvVVGZbJF0ab2Hd\n",
       "UrZws9fMbJyZfRmYD2wWPyreNtoX+JuZLSjZ77G47Upm9kKFujuXmywthK8CvzKzzczsnGIHm5m9\n",
       "D/xPrrVzzW4uYXhrNYot0LckFR9+PLjK9i8R7tMv2p/Qz0X8+Y/4/h+03bM/mDDap1inLNO3A3wy\n",
       "Hm8xZnZEvIW1V+lnkr4oqX98/wlgJdr6FFqBDQh9JOkWQDpwnQKclrF+znWpLAGhQJiQDQBJS8fR\n",
       "I5hZaeeec4uY2WzgIUmTiylZWfKKu7h8OPAbSRPLbJd+/3dg65LPBkuaBBxDGOJJfH94XH8w8P24\n",
       "/lrgRElPpDqVy9UHQl7wB8psU83uwOTYOX4Hob+ieBFlhFtJQ8zs/pJjWtzmjjKfOdctssxl9Diw\n",
       "fbwHiqSlgIfMbOuqO3ahnvBg2hjG9AN2A55NkuSV9vapqfxeNLldHIEz3sw+2+7GnT9WK7B/jcNO\n",
       "nWsYtZ47s7QQ+hWDAYCZfUjoS3AZFAqFjXZnd4D/EoYx+hxBnWBm7wLjJe2U53Hig2kvejBwvUmW\n",
       "FsI9wIVmdmNc3gc41sx26Yb6FeuQawtBra25NMv7LVzIfs8+ywZvzkZLXsDfSRhm+Hx8zYhPENes\n",
       "N7UQnHPZ5TH99XqEcdyrx1UzgUPN7MUO17JGzXzLqFAo9GmldUELLfMJM4w+SxiOWMk0wvDEiYRA\n",
       "MTVJkrerHcMDgnOunNwmt4sPollssnerZg4IsKgPYQ/gS0mSLHp2o1AorAxsCGxE6MDcmzCypZyF\n",
       "hE7Ke2hrVbycJMkCDwjOuXLyyoewF2FysUUJXszspx2qYQf0hIAQp7/ukyRJu3NCFQqFAYTpqzci\n",
       "/N1HAp+vtP3s2UNYaaU3zyVMdVBsVcyttL1zrnfI45bRWEKClp2Biwhzuzxa6yyQndFTAkJny4mz\n",
       "jK5MCBQbAtsQpjlYtcIu8wmzit5HDBSEVoVPVOhcL5BHQJhsZptLetrMtojD/u4ws89V3bELeUBo\n",
       "p3xhY8YUBhImRNsQ2BT4Em3TOJTzPKGvYhIhUExNkqTbbwc65/KTR0CYYGYjJD1CeOR+NvCMma3X\n",
       "uapm1/QBYek3jXlD8jzEHDPKHiC2Klalra9iO0JfxUoVyvoQuJXwVO1UQuCY6a0K55pPHgHhJ4RZ\n",
       "JHcGfhNXX2RmP+lwLWvU9AGhQTt9C4XCUsB6tPVV7EXo3K7kWeBG4OkkSf6Ufw2dc53RpQFBUh9g\n",
       "OzN7KC4PBAaaWYcybXWUB4TuFVsVn6CtVbEDoVVRnMqZJEma5vdxrrfKo4XwVJyjvm48IDSOQqGw\n",
       "9HPPPbf+ddddt4M1UGrMUpLeNbNBVT73FJmux6v53GlmVV/AucDXiMGjHi/ivGDN+grVr389uvDf\n",
       "YxgwuWTdW+19R9L7EVogL6Q+Ww6YkFqeTpgGuqN1nJthm1Zg1RrLvRPYO7W8afx5FXBYav0KwH8I\n",
       "Q7W/Qei8vyj1+Z8I+Re+Wu9/T3/13Fet584scxl9G7gO+EjS3Ph6J2vAcT1SQ6XGjOvXjtn8npZ0\n",
       "erEASVfE6VaKy1dJ2jsueopM51KypNAcZGZ9zKy/mS0XX5nmk5c0UtLzkl6QdHKFbVriSeGZOLuk\n",
       "a3wNlRozrj8f+E3c/tVUGRcTrtCLmdm2I4yiAk+R6dxismRM27HcK8N+fQn/kUcS7hMfKGnjkm1W\n",
       "JIxc2tvMNiPcmnKNrxFTY26f2v7KYgFm9gCwvkLaygOBv5hZcQitp8h0LqVf+5twEm1XdgMJwxKf\n",
       "IAxDrWYEYfrgGQCSriXcFpiS2uYg4HozmwlgZv/NXHPXjPJOjVnJFcChhIxq3ygpp2yKTGA4MMvK\n",
       "ZEUzs9cILZ9xkiYT0l5OJJzkfxLLLZsiU9JmwHtm9oLkd4tcY8lyy2gvM9s7vnYjfPmzDDtdgzDy\n",
       "omhmXJe2PjBE0nhJj0s6NGvFXV01YmrMh0rWp10GHEfoYHs+td5TZDqXkqWFUGomocncnizTqPYH\n",
       "tgR2IQzNe1jSI1YmwbikManFVjNrzVC+y4GZzZb0ULw6vs3MTqZ6asxLJRnhPnt7qTGvT31WTI05\n",
       "j3CrBUJqzHGSTgTeiOVDSJF5deyrujFdtpm9Iek54IaSOnY0Reb5kubF5cVSZEr6M7CfVUmRWVKe\n",
       "p8h0XUZSC9Wn16++fxyaVO0AF6YW+xDujU43s0Pa2W9bYIyZjYzLpwILzezs1DYnA0ub2Zi4fDFh\n",
       "ZMZfSsoy8+cQejTlmBpT0jLA08BwW/w5gVY8RabrwWo9d2YZdvoEYfTH44Tm+kntBYPocUJn3jBJ\n",
       "AwjN/tKRFTcCn5PUN/6n3QZ4LmvlXc9hOaXGlLQr4Tt1QUkw8BSZzpXI0kIYRBhSuCAu9wWWMrP3\n",
       "2y1c2oMwXLAvcImZnSnpKAAzGxu3OYHQ7F9IeHDngjLl9IgWQqFQ6J8kycf1ro9zrnfIY+qKR4Bd\n",
       "4xVcMXPanWa2fadqWoNmDwgDB35op5561pnASkmSHFXv+jjneodumcuou+c3ataAUCgU+gA/+PDD\n",
       "AecutdRHCwkdmGOBl+PrtSRJFlQrwznnOiqPgPAQcKyZPRGXtwYuNLNqyVe6VO4BIYyAycWErbfm\n",
       "pi9+mf7957e36SRCwJhCW8B4BXg7SRIfieKcq1keAeGzhCdFi0+RfhIYbWal0wzkpllbCEUbbjjV\n",
       "Djro2g+Bwwg5BdaMr40IuZK3ylDMW8DD8TWdECxeBmYlSfJRHvV2zjW3Lg8IsdABhLnxAabGx/S7\n",
       "TbMHhJjicgTw3yRJplfarlAo9AVWoy1grEUIFjsAn8pwqKmEVsYztLUyXgZmeyvDud4njxbC0cBV\n",
       "ZjYnLg8GDjSz33aqpjXoCQGhOMoIWNCZdJSFQmEZYChtQWMdQitjG2BAO7t/QJjQ7UFgGqlbU0mS\n",
       "zKu2o3Ou+eQRECbFmSXT67xTOaNCoXDitGlrn7POOtNnEqZJ2DHP/MQx29kqhGBRDByfIQSNdTMU\n",
       "sWuSJPfmVT/nXPep9dyZZeqKPpL6FGeIjM8h9O9oBRuRCvl1Ku/O7mw7TBBu+dxIeBgwt4AQbw29\n",
       "EV9l+3liLuU1aGtlrE24LbUZ0O7zJc65nilLC+FcwkljLGGSrqOAl83s+Pyrt6gOzdxCGGbG9JKJ\n",
       "LfcEbm/E+/pxyuqDLJ/0mLd0dg6qcvWrsN1ShPwDLanprrOUvwxwEbA54fs+h/C73wKcaWZ3pbY9\n",
       "jjCZ3dmEjv4zzOwn8bOVCQMxfm9mx2T/DZ3rOnncMuoLfIswAR2E/2QXl07tm6dmDggAo0dfZ5ts\n",
       "MmUDwkmmOHnbfwm3ZybVr2ZLKj2xx3VvAYOtypclvV+cBfRBM1s/frYccK+ZjcijflW2PQN4wmrI\n",
       "WRzn3FrJzE6Iy+sTbvV9HdjOzI5IbfswcCJhxNd9hIQ+W8XPvkP4f/OgmR2b9fjOdaVcRhmVHODz\n",
       "wAFm9r12N+4izR4QBg780ObNW0oAhUJhAGFmznPix/cChyVJ8mql/btTzFsxijBi6W7C6LI9gcnA\n",
       "mYSr/rlm9gtJWxGSxxezgY2MAeFpYL1YxjGEJDSbmNlp8RgzCElu9gAWEE6cZxE6yH+emtbkREKK\n",
       "y6WAG8xsTEn97gJ+SrgVN5hwK/PHZnZT3H8bwmykmdNkSjofeMnMflmyfgjhGZE1zGx+DEz3m9la\n",
       "xSBFeJbkV2b2hKTxsX6rewvB1Utew063JEw/vB8wg5DU5sKqO3WhZg8I5WY7LRQKgwnpGL8eV50H\n",
       "/CRJkne7u35pktYi3NpJtxDmmtly8X1CCAi/jCf+75rZ3yWdA+wRA8JiZUj6HXB38Upd0nTgLDMb\n",
       "K+mXwK6EjGhLA8+Y2Sck7Q7sa2ZHSepDOOmfQxgVlS67L7CMmc2Nt2keTrVMlgKmmVlpHo5qv/+n\n",
       "CSfyfxGC9eVm9mL87GbCfFs3SToFGGJmJ6UCwqnAFwjpPC8jZIjb2gOCq5cum+1U0oYKydKnEE5W\n",
       "LwN9zKylO4NBT5UkyZwkSb5BGPnzFCGBy9xCofCt+DxCvXRXeszizLeTCSfx9yxkzPswlr07sLuk\n",
       "iYQZdzcktDpKy+4DnBnzJtwNrC5pVQAz+5AwKGJglt8p7jOJ2FIBhgCPSdoofnwNbUl4RrNkGsw7\n",
       "gd3iNn/KekznGkW16a+nEJLXfNHMdoxBwOfd6WJJkkxLkmQ4ISfwAkLn/fxCobB7fWtWs1rTY34Y\n",
       "fy4E0g86LqRt9NuZFjKXDTezDcxsXJlyDwZWBrY0s+GE0VXpALBEmkxJ35U0UdKTsb9jMTE43RBv\n",
       "i14JfCl+dBOwi6ThhFbJxJL9PiYErx8Sci43bavW9U7VAsJXCQ8yPSDp95J2wb/guUmS5GHCPfBi\n",
       "2sg7C4XCzEKhsFk3V6U70mMuVlaZdUa42j5C0rIAktaQtEqZ+i0PvGFmC2IuhbUWFRxuGS2ILYW2\n",
       "ws1+G4PMlmb278UqI20fH74sPqG/CeE26aKcDYR8yldX+H1+AZxsZlnSzDrXUCoGBDP7m5mNJoxN\n",
       "fxD4AbCKpN/F+7uuiyVJYkmSXEe4wv0x4VmByYVC4dZCoVDphNqlzGw28JCkyZKK2e2qpcf8Tbyt\n",
       "U7pdufSY5T6zMsuY2d2Ek+7Dsa/iz8CgMvW7Ctg6bnMooWVbNJww91Mt1gVaY3lPAo+VjFK6hjBa\n",
       "rPR2UbHez6WG5Jb+bs41tJpGGcWRFl8jjDLaObdaLXncHtepnEWhUFgJ+DVt963PAQpJkjTVw2PK\n",
       "MT1mO8f9GeGEXppL2bleIfdhp/XQWwNCUaFQWB/4G+H2BcARwOV5ToHR1eIopNvNbHw3Ha/4YNoX\n",
       "qj0/4VxP5gGhAXU2IBQVCoXPE2YzLdolSZL7Oluuc65n8oDQgLoqIMCiLGwHEO6dQ5gyYc8kSaZU\n",
       "3ss51xvvxTwWAAATX0lEQVR5QGhAXRkQigqFwkDCg1D/G1f9DTgqSZI3uvI4zrnm5QGhAeUREIoK\n",
       "hcIqwO8Jw4QB/g84M0mSD/I4nnOueXhAaEB5BoSiQqGwEWFGzmLOg0OBq5up49k517U8IDSg7ggI\n",
       "RYVCYSfCzJtFX0iS5IFK2zvnei4PCA2oOwMCLOp4PozwRC3A88A+SZL8s7vq4JyrPw8IDai7A0JR\n",
       "zL/8Y0Ln89vAEL+F5Fzv0WWznbrmlyTJ+0mSnEaYR2i3vIOBpOMkLV2y7h5Jy0kaJmlyZ8qTVHZq\n",
       "cEnHSjq0A/VtlfRYannrmMeg3LYL4oR4T0l6QtJ2tR7PuUbnLYRuUK8WQneLeQ62jvMNIWlnQk6D\n",
       "79WS6axKeYvyMpRs16GMbJJaCcl7vm1md0jampCgZ6cy26ZzQuwOnGZmLbUcz7nu5i0EV5GkwyRN\n",
       "ile5V8R1wyTdF9ffI2loXH+ZpH1T+74bf7bEK+s/S5oi6cq4/lhgdWC8pHvjbgcREtsU9ZN0paTn\n",
       "4v5Lx313iVNRPy3pEkkDKpSHpNNj/R9O5T2YC8yWtGmNfxIDzgV+VON+KwBvxvoMin+3J2L9R8X1\n",
       "BUnfT9X7jPg7IelESRPi33xMXLespFvj7zZZ0v411sm5zjOz3F7ASEKH5guEKYFLP28h3NueGF8/\n",
       "rlCO5VnPvF+h+vWuA5sS0k4Oicsrxp83A4fG94cTUlVC6JDeN7X/3NS/2VuEk7WAfwDbx8+mF8uP\n",
       "y1NSxxtGyHWwXVy+BDieMLPry8B6cf3lwPcrlLcQ2DO+Pxv4UeqzAvCdGv8m44GtCJnRWuL78RW2\n",
       "nR+/o1Pi779lXN8XWC6+Xxl4Ib5fi5DPGcKF14uENJ+7A2NT628GPk94juQPqeMtX+/vjL+a/1Xr\n",
       "uTO3FoJCasNfE4LCJsCBkjYus+n91pYE5fS86uPYGbjOzN4EsLb5+relbW7/K4HPZShrgpm9auEb\n",
       "9xThZF/O6sXjRa+YWXE66uKxNgCmW0xTSQgIO1Yo7yMzuzW+f6LkuK9WqUd7Tid0vlfzQfyObkz4\n",
       "Tl8R15fN2GZmLxFaLZ8hBIEnzWwOlTPBTQZ2k3SWpM+Z2Tsd/F2c67B+7W/SYSOAF81sBixK3r4P\n",
       "i89XD550p7sYlf/W5dbPJ95SVMhpPCD1WTrhzAKyf4/SHVZLZDJrZz3Ax6n36cxqZfeLFyWPx8Ub\n",
       "zWxMuTqZ2XhJpxOCY7vM7BFJKysk7NmTtoxtC2K/RzFj28WEVtdqwKWpIs40sz+UlquQiW1P4HRJ\n",
       "95rZ/2Wpj3NdJc8+hDWAV1LLM+O6NAO2j/dSb5O0CS4v9wH7KeS0QDErGOGWTzHfwsG0zaY6g3AL\n",
       "BWAUIZtbe+YSMpgVvSpppdTympKKJ92DCImXpgLDJKWfsL6/QnnVfDLWeREzW5BqfY5pZ//TgZPJ\n",
       "kNBGIcdyH2A2VTK2ATcQWhNbEzLAQYVMcJI+Ccwzs6sI/RpbtlcP57pani2ELMOXngSGmtn7kvYg\n",
       "TNC2QY516rXM7DlJZwD3S1pA+NsfARwDjJN0IiEf8eFxl4uAGyU9BdwBpId8Vvq3/QNwh6RZZrYL\n",
       "bZnSiifDqcD3JF0KPAv8zsw+lHQ48GdJ/YAJhLmZypVXLdPaCOCEGv4kizGz2yUtmhhQ0urARWa2\n",
       "Z1y1tNoywwn4upktlHQVcLNChrXHSbWAzexjSfcBc6zthu7d8dbpw5IgBL1DCbeNfi6pmGP6Ox39\n",
       "XZzrqNyGncYrwTFmNjIunwosNLOzq+wzHdiq5L4zkozQaVjUamatXV/rfPSWYaelJLUAo80s15Ob\n",
       "pOUJw067NSNbe+KttieAr5nZv+pdH9fzxf9zLalViTXCk8rxam8qsAuhw28CcKCZTUltsxqhuW2S\n",
       "RhA6PYeVKctq+aUaTW8NCBAeTAO+YmFoaF7HOBZ408yuzOsYtYq3P28G/mpmJ9a7Pq53qvXcmeuD\n",
       "afE20HmEoXmXmNmZko4CMLOxkr5HaBrPB94Hfmhmj5QpxwOCc87VqKECQlfpCQFhzJjCgCRJPm5/\n",
       "a+ec6xr+pHIDWnrp9wEuqHc9nHOumjxHGTmgUCisefLJAOyNjxxxzjUwv2VEuKWTV9kHHHAtG200\n",
       "tXT17YSnWqfE1ys+LbVzrqt5H0KDKRQKwwlj/v8CDCFMIVHJJMJkcM8QAsULSZJ8WGV755yryANC\n",
       "AyoUChcBFyZJ8nRcFrAKsBGwMbAD4WngFSoU8Qbhob1HCYHi+SRJ5uRdb+dcc/OA0IAKhcKqwNwk\n",
       "ST7IsO0yhAnPNgI+A3yZyk9vG3Ar8P0kSaZ1UXWdcz2EB4QeqlAo9CXM5rlxfO0BFBO5bJQkyRId\n",
       "Fc653s0DQi8Tbz8xZsyYuWY2qPRzSZcRMpVdX60cSefG7e6XNIMwe+eb1fZJ7bsP8M/iU+gKmciO\n",
       "N7MnSrbbgpDr4Mgs5ab2GwP8D/AfYFnCVNE/Tj/1Hrc7DdgvLm4BPB3fX2Jmv67lmM71BB4QeilV\n",
       "Ti85jnCi/2uVfRdLQamS1JUZjn0ZqaCjkJf4hNKAED9rBfY3szdKP6tSfkJI0PPLuLw/cD6wuZn9\n",
       "t8I+S/w9FGeTs2b40jvXBfzBtF5Owa8lPS/pbmDV1Gf/G1M3TpY0NrXbPsA9JUWdpJAS8tHi1NQq\n",
       "k25T0vaEZyx+rpAGc524/35x36mS0kl3bqftKr6mX634xsyuA+4iTKFdfadQ56mSLie0LIaqTArL\n",
       "uO0hsc4TJf1eUh9JfRXSiU6Of4/jOlB355qCB4Se5yuETuiNgcOA7VOfXWhmIywkul9a0l5x/Q60\n",
       "JZIpesvMtiBkvTuvuD8wzsw+DVwFXGBm/wBuIrQItjSzYud2XzPbBjgOSFLlTqByRrRaPEnoeM9i\n",
       "PeA3ZrZZ3Ge92BoaDmwl6fNxSur9CelAhxMS/xwMfJqQ+W3z+PcY1wV1d64heUDoeXYErrbgNUJi\n",
       "nKKdJT0S5+7fmZDaFEJSl9dKyrkm/rwW2C6+r5Zus7RZWrxF9SSLp7Z8jY6nukyr5bv7kplNiO8r\n",
       "pbDchZAQ6PH42S7A2sA0YB1JF0j6IuCpLV2P5VNX9DxlU2VKGgj8hpBvYla8Lz8wtUm1E2xp6sv2\n",
       "toG2NJulKTbLpsiMSXOGA7PMbK/Sz8sYTmhtZPFeyfISKSwlHQ1cbmanlanbFoTMZ98mtCJq6hR3\n",
       "rll4C6HneQAYHe9/f5K2oanFk/9sSYNY/D7+S8AnUssCRsf3owlpNqFyus1aU12+VLrSzI6wkOqy\n",
       "3WAgaV9gV9paMbUom8ISuBf4WnyPpCGS1lRIAdovdsr/BE9t6XowbyH0HMUUjTdI2hl4DniZeDI3\n",
       "s7ckXUSYFuPfhKeei4qpLq9PlTVY0iRgHnBgXF8p3ea1wEWSjqF8h3FpqssHymzTnh9IOoS2Yac7\n",
       "F0dBSSoAj5vZzRWOueh9hRSWh5jZFEk/Bu5SyHT2MfBdwu8/Lq4DOKUDdXeuKfiwU0dsMYzvjhSU\n",
       "HRl26pzrGB926mpmZu8C4yXt1O7GnRDvxb/owcC5xuQtBOec66G8heCcc65DPCA455wDPCA455yL\n",
       "PCA455wDPCA455yLPCA455wDPCA455yLPCA455wDPCA455yLPCA455wDcg4IkkbGVI4vSDq5ynaf\n",
       "lTRf0lfzrI9zzrnKcgsIkvoS0i+OJGTmOjBOO1xuu7OBO6icfKWpSWqpdx06o5nr38x1B69/vTV7\n",
       "/WuVZwthBGFmyxlm9jFhzvx9ymx3DPAX4D851qXeWupdgU5qqXcFOqGl3hXopJZ6V6CTWupdgU5q\n",
       "qXcFulOeAWEN4JXU8sy4bhFJaxCCxO/iqsafetU553qoPANClpP7ecApFubgFj30lpFzzjWD3PIh\n",
       "SNoWGGNmI+PyqcBCMzs7tc002oLAysD7wDfN7KaSsrzl4JxzHVBLPoQ8A0I/YCqwC/AqMAE40Mym\n",
       "VNh+HHBzTGbunHOum/XLq2Azmy/paOBOoC9wSUxkflT8fGxex3bOOVe7pkih6ZxzLn8N/aRy1gfb\n",
       "GpGkoZLGS3pW0jOSjq13nTpCUl9JEyXdXO+61ErSipL+ImmKpOdiv1bTkHRq/P5MlnS1pKXqXadq\n",
       "JF0q6XVJk1Prhki6W9I/Jd0lacV61rGaCvX/efz+TJL0V0kr1LOOlZSre+qz4yUtlDSkvXIaNiBk\n",
       "fbCtgX0M/MDMNgW2Bb7XZPUv+j7wHM05JPh84DYz2xjYAijbf9WIJA0DvglsaWabE267HlDPOmUw\n",
       "jvD/Ne0U4G4z2wC4Ny43qnL1vwvY1Mw+DfwTOLXba5VNubojaSiwG/BSlkIaNiCQ/cG2hmRm/zaz\n",
       "p+L7dwkno9XrW6vaSPoU8CXgYppsSHC8kvu8mV0KoU/LzN6uc7Vq8Q7homKZOEBjGWBWfatUnZk9\n",
       "CMwpWT0KuDy+vxz4crdWqgbl6m9md5vZwrj4KPCpbq9YBhX+9gC/BE7KWk4jB4R2H2xrFvFqbzjh\n",
       "C9VMfgWcCCxsb8MGtDbwH0njJD0p6SJJy9S7UlmZ2ZvAL4CXCaP03jKze+pbqw5Zzcxej+9fB1ar\n",
       "Z2U66QjgtnpXIitJ+wAzzezprPs0ckBoxlsUS5A0iDA1x/djS6EpSNoLeMPMJtJkrYOoH7Al8Fsz\n",
       "2xJ4j8a+XbEYSesCxwHDCC3LQZIOrmulOik+gNqU/68l/Qj4yMyurnddsogXP6cBSXp1e/s1ckCY\n",
       "BQxNLQ8ltBKahqT+wPXAlWb2t3rXp0bbA6MkTQeuAXaWdEWd61SLmYSro8fi8l8IAaJZbA38w8xm\n",
       "m9l84K+Ef5Nm87qkTwBI+iTwRp3rUzNJ3yDcOm2mgLwu4WJiUvw//CngCUmrVtupkQPC48D6koZJ\n",
       "GgCMBm5qZ5+GIUnAJcBzZnZevetTKzM7zcyGmtnahM7M+8zssHrXKysz+zfwiqQN4qpdgWfrWKVa\n",
       "PQ9sK2np+F3aldC532xuAr4e338daKoLI0kjCbdN9zGzefWuT1ZmNtnMVjOzteP/4ZmEAQpVA3LD\n",
       "BoR4VVR8sO054E+VnnJuUDsAhwA7xWGbE+OXq1k1Y1P/GOAqSZMIo4x+Vuf6ZGZmk4ArCBdGxXvA\n",
       "f6hfjdon6RrgH8CGkl6RdDhwFrCbpH8CO8flhlSm/kcAFwKDgLvj/+Hf1rWSFaTqvkHqb5+W6f+v\n",
       "P5jmnHMOaOAWgnPOue7lAcE55xzgAcE551zkAcE55xzgAcE551zkAcE55xzgAcE1gDg177mp5RMk\n",
       "JdX2qaHsyyTt2xVltXOc/eIU2/fmfSzn8uIBwTWCj4CvSFopLnflwzEdLivOMprVkcD/mNkuHT2e\n",
       "c/XmAcE1go8JT+H+oPSD0it8Se/Gny2S7pf0N0n/knSWpEMlTZD0tKR1UsXsKukxSVMl7Rn37xuT\n",
       "n0yIyU++lSr3QUk3UmaqC0kHxvInSzorrvtfwpPpl0o6p2R7SfptTLJyl6Rbi7+PpBnFpCWStpY0\n",
       "Pr5fNiY8eTTO1Doqrt80rpsY67xu3PZWSU/FOu0ft91KUqukxyXdkZpP6FiFpDuT4tOtzi2SW05l\n",
       "52r0W+Dp0hMqS17hp5e3ADYizAM/HbjIzEYoZKc7hhBgBKxlZp+VtB4wPv78OmFK6REKmcj+Lumu\n",
       "WO5wQlKUxZKKSFqdMPXClsBbwF2S9jGzn0raCTjezJ4sqe++8fgbS1qNkBfjkgq/W9GPgHvN7AiF\n",
       "DGOPSroHOAo438yujq2XfsCewCwzKwa65eOkihcCe5vZbEmjgTMIrZiTgWFm9rGk5Ssc3/VS3kJw\n",
       "DcHM5hLm7qkl1ehjZva6mX0EvEiY9wrgGcJMjxBOutfFY7wITCMEkd2BwyRNBB4BhgDrxX0mlAaD\n",
       "6LPA+DgD6QLgKmDH1OflphfeIXX814HxGX6v3YFTYt3GA0sBawIPA6dJOolwUp9HmOdot9hC+pyZ\n",
       "vQNsCGwK3BPL+BFtuUSeBq5WmEp7QYa6uF7EWwiukZwHPElIB1g0n3jhIqkPMCD12Yep9wtTywup\n",
       "/t0uXpkfbWZ3pz+Q1ELInVBpv/RJXyx+lV/pir90n6JFvxswsGSfr5rZCyXrnpf0CLAXcJuko8xs\n",
       "vKThhJbC6bFT+wbgWTMrN132noQgtjfwI0mbx+DmnLcQXOMwszmEq+kjaTu5zgC2iu9HAf1rLFbA\n",
       "fvFe/rrAOoSppe8EvlvsOJa0gdrPqPYY8AVJKynk/D4AuL+dfR4C9o3HXw34QuqzGYS8BxBuLRXd\n",
       "SaqlFE/4SFrbzKab2YXAjcAWCjkG5pnZVcC5hNtdU4FVJG0b9+svaRNJAtY0s1ZCsqAVgGXbqb/r\n",
       "RbyF4BpB+sr6F4Rpz4suAm6U9BRwB/Buhf1Ky7PU+5eBCcDywFFm9pGkiwm3lZ6MJ8o3gK+U7Lt4\n",
       "oWavSTqFcBtHwC1mdnM7v9v1wC6EKdxfIbSAirmdC8Alkt4BWlPH/T/gPElPEy7aphGC4f6SDiV0\n",
       "wr9G6BcYAfxc0sK4/tuxf+BrwAUKuaX7EdKh/hP4Y1wnQn/EO+3U3/UiPv21czmTtKyZvacwrPZR\n",
       "YPv2EpU4Vw/eQnAuf7fE0UIDgJ96MHCNylsIzjnnAO9Uds45F3lAcM45B3hAcM45F3lAcM45B3hA\n",
       "cM45F3lAcM45B8D/A8D1iLcCC1ORAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1228ccfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEPCAYAAABCyrPIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmYFNW5x/HvDxRREQW3RKPivqOoQaOJGXeMCjHGPZqo\n",
       "98YsbrkuqElu0bnJdU3iEs0lLmhcY2IMaNyVMcYNF0RURA2ggkYTQMUFFXjvH+c0UzTdM9UzU9Pd\n",
       "M+/nefqhq7rq1Olhpt46dU6dV2aGc84516vWFXDOOVcfPCA455wDPCA455yLPCA455wDPCA455yL\n",
       "PCA455wDcg4Ikq6W9Lakya1sc4mkVyRNkjQkz/o455yrLO8WwhhgWKUPJX0N2MjMNga+C/w25/o4\n",
       "55yrINeAYGYPA3Nb2WQ4cG3c9glgFUlr5lkn55xz5dW6D2Ft4I3U8kzgCzWqi3PO9Wi1DggAKln2\n",
       "uTScc64Glqnx8WcB66SWvxDXLUGSBwnnnGsHMyu96K6o1gFhHHACcLOknYB3zeztchtW86XqjaRR\n",
       "Zjaq1vVor0aufyPXHbz+tZZ3/VcaP84+UP+8iofddqtq81wDgqSbgK8Cq0l6A0iAZQHMbLSZ3Snp\n",
       "a5JeBT4EjsmzPs45V08+/NqXYf7AWldjsVwDgpkdnmGbE/Ksg3POtddhh5E0NyvJq3ybb5gt1Y/a\n",
       "aaTq+mTVCPkQJFmD3zJqMrPmWtejvRq5/o1cd8i//s3NmgMMyKv8Z5+FbbfNq/T87bvvWObPH57f\n",
       "AfrOwT4emGNAqO7c6QHBuTqW9wkbmNvUZPVzz6JKUt4/H4NR+Z16VvkY5p6b37mt2nNnrTuVnXOt\n",
       "G9DU5BdDFfX7ZAAf9Mmv/L5zsKTn/Pw9IDjnGtcHffK9B19Y1XrSo1EeEJxzudFKn1quV/DLz4kn\n",
       "7XwM+DivkuuTBwTnXH664Ao+56cc5nJuruXXFQ8IznVAV3T65lh2l1Ahv5kGBnwM+ICTTuMBwbmO\n",
       "aehOX52pRSyf3xU8WL6dspL1pCv4vHlAcK4nu3i2cn1Stt9nFicncA3AA4JzdawrxtnneY/fg0Fj\n",
       "8YDgXD0bO3YA/fOc/Cy/ol3j8YDgXD3r3x9raspvlE5PGmTv2uQBwbl69shw9NC8HE/aOceD3G95\n",
       "Nf4orHriAcG5erZgXq6jdDQq9xbCAB8W2jg8ILhuLe/nBObNw3LN6Dcqt5KdW4oHBNfd5fqcgMaN\n",
       "M8bn2Om77+Bcr+JXYa6hgXm2EvyWTgPxgOBcR+Td6Tsfy3VYqAaa39JxRb1qXQHnnHP1wQOC6/Yk\n",
       "WV6vWn835zqT3zJyNZdnx+/770Oe2fbU3OxBwXUbHhBcPcit4zekEMyj5KjRnxNwLsUDgnMd0RXP\n",
       "CeR7a8pHAbnFPCA41xHnzs51WOgA5vh8/67LeEBwriPmD8x3tlD1rJy+rrY8ILg2eVYw53oGDwgu\n",
       "i3yf9pXmQE73yceNs3xHAjXlV7RzXcwDgqsHA/IaGqrmZvPpo53LxgOC6958WKhzmeUaECQNAy4C\n",
       "egNXmtl5JZ8PAK4GNgDmA8ea2Qt51sn1MD4s1LnMcgsIknoDvwH2BGYBT0oaZ2ZTUpudDTxjZgdK\n",
       "2hS4LG7vXOPwYaGum8izhTAUeNXMZgBIuhkYAaQDwubAuQBmNlXSIEmrm9m/cqyXqzdjx+Y3BURX\n",
       "PCfAwLyKd65L5RkQ1gbeSC3PBHYs2WYS8A3g75KGAusBXwA8IPQkOU4hnf/00f6cgOs+8pztNMtf\n",
       "ybnAKpImAicAE4GFOdbJOedcBXm2EGYB66SW1yG0EhYzs3nAscVlSdOBaeUKkzQqtdhsZs2dVVHX\n",
       "zXmnr+shJDXRgYdj8gwITwEbSxoEvAkcChye3kDSysDHZvappP8EHjKzD8oVZmajcqyr686809f1\n",
       "EPFCubm4LCmpZv/cAoKZLZB0AnAPYdjpVWY2RdLx8fPRwBbANTHRyPPAcXnVx7XfcMYyL8+nfd9/\n",
       "P7einXPZ5TxZfOcIc9r7VV4lec81tBvj880bnOP/r5Rzp7Jzdazavy1/Url7yHWuIZqb800XORJT\n",
       "Ia/y6/+Cx7l64QHBZZJrGsqCLK+nifN8BsG57ibPYafOOecaiAcE55xzgAcE55xzkQcE55xzgAcE\n",
       "Vw/OnY2E5fFahbneqexcRj7KyNVeronq80wF7Vz34i0E55xzgAcE55xzkQcE55xzgAeEbkOS5fWq\n",
       "9XdzznUNDwjdhJkpr1etv5tzrmt4QHDOOQf4sNNuIfd8BZ4VzLkeoc2AIGkjYKaZzZe0G7A18Hsz\n",
       "ezf32rlM5pFfknrnXM+RpYVwK7B9DAyjgbHAjcDX8qyYqx8q5JuAx3MWOFcfsgSERTEd5jeAS83s\n",
       "UkkT866YqysD8spXAJ6zwLl6kaVT+VNJRwBHA3fEdcvmVyXnnHO1kKWFcCxwPPALM5suaX3gunyr\n",
       "5epOrs8jeAPBuXrQZkAwsxcknQmsG5enA+flXTFXZ/J8HkEeEZyrB23eMpI0HJgI3B2Xh0gal3fF\n",
       "nHPOda0sfQijgB2JY9HNbCKwQY51cs45VwNZAsJnZZ45WJRHZZxzztVOlk7lFyQdCSwjaWPgJODR\n",
       "fKvlnHOuq2VpIZwIbAl8AtwEvA+ckmelXJ3JMcWlQoeyT43hXB2QWfYBHpJ6A/3M7L38qlT2uNbI\n",
       "s27efrsWrbRSXikiYTfG5zp1hYTll+LSOZeXas+dWeYyuonwHMJC4ElgZUkXm9n57a9mz7LSSqip\n",
       "KceAlu/Eds65HiLLLaMtzOx94OvAXcAg4Kg8K+Wcc67rZQkIy0halhAQbjezz8j4aKmkYZJekvSK\n",
       "pJFlPl9N0t2SnpX0vKTvVFV755xznSZLQBgNzAD6AX+TNAhosw8h9jf8BhgGbAEcLmnzks1OACaa\n",
       "2bZAE/BLSZ6jwTnnaiDL1BWXAJcUlyW9BuyWoeyhwKtmNiPudzMwApiS2uYtYHB83x+YbWYLMtXc\n",
       "tXhkOHpons815JzrkCydyicDY4B5wJXAdsCZwD1t7Lo28EZqeSbhiee0K4AHJb0JrAQckq3abgkL\n",
       "5uHTUzvnOirL7ZnjzOxiSfsAAwkdytfRdkDIchI5G3jWzJokbQjcJ2kbM5tXuqGkUanFZjNrzlB+\n",
       "z+GzkTrX40lqItx+b5csAaF45bkfcJ2ZPS9luhidBayTWl6H0EpI2xn4BYCZ/UPSdGBT4KnSwsxs\n",
       "VJaD9lg+G6lzPV68UG4uLktKqtk/S6fy05LuJaTMvFtSf7LNZfQUsLGkQZL6AIcCpbOkvgTsCSBp\n",
       "TUIwmJa18s455zpPpltGwDbANDP7SNKqwDFt7RTTbp5AuLXUG7jKzKZIOj5+Phr4X2CMpEmE4HSG\n",
       "mc1p53dxzjnXAVkCghHmMtof+BmwItA3S+FmdhfhYbb0utGp9/8GDshaWeecc/nJcsvocmAn4Ii4\n",
       "/EFc55xzrhvJ0kLY0cyGSJoIYGZz4pPLLqPhjGWezzfknKtzWQLCp/GpYwAkrY4nyKnKPPrnOxvp\n",
       "Qz4KyDnXcVluGV0K3AasIel/gUeAc3KtlXPOuS6XZeqK6yU9DewRV40wsymt7eOcc67xZJm6Yl3g\n",
       "Q+D2uMokrWtmr+daM+ecc10qSx/CnbTMXdAXWB+YShiK6pxzrpvIcstoq/SypO2AH+ZWI+ecczWR\n",
       "pVN5CWb2DEvPWuqcc67BZelDODW12Isw/fWs3GrknHOuJrL0IaxESx/CAuAO4NbcauScc64mZFb/\n",
       "zzRJMstzeuecqbnZcn0wbfk5xvyBeRUPMNeMXA/gnOt81Z47s9wyup3QQigWasD7wJPAaDOb356K\n",
       "uk40fyBmNGzAdM7VhyydytMJE9r9jpDycl58bRKXnXPOdQNZ+hB2NrMdUsvjJD1lZjtIeiGvijnn\n",
       "nOtaWVoIK0par7gQ368YFz/NpVbOOee6XJYWwqnAw5KKqS03AH4gaUXg2txq1o3MHj4c5s3Lsfe+\n",
       "/gcGOOfqX6ZRRpL6ApsRzjwvm9nHeVes5PgNPcoIycix/hLmncrOuVLVnjt92GlX8IDgnKuBas+d\n",
       "VU9d4ZxzrnvygOCccw5opVM55kGoyPMhOOdc99LaKKN0HoS01eOrd5nPnHPONaiKAaFMHoRBwJnA\n",
       "nsAvcq2Vc865LtdmH4KkTSRdA9wNPA1sbmaX5l0x55xzXatiQJC0taSbCVNdPwBsaWZXmNlnXVY7\n",
       "1yNIWlnS90vWXSDpeUnnSzpe0lFl9hskaXJq+SZJkySdHJcvlPTV+H6GpMwztkoaIWnz1HKzpO3L\n",
       "bDdY0lVZy03tt2ksc6KkFyWNTn02NH72sqSnJd0haav42ShJM+N+L0u6NV1P5zqitT6EZ4GZhPwH\n",
       "Q4Gh0uLhrGZmJ+VcN9dzDAB+APw2te4/gQGW8UEZSZ8DdjCzjePySsCuZnZa3CQ9Y28WBwK3A1NS\n",
       "+y/FzJ6TtKGkNczsnSrKvwT4pZndHutbPOGvCfwBONzMHo/rdgE2BJ6P9fiVmf0qfnYI8KCkrc3s\n",
       "31Uc37mltBYQjov/lv4hqMw65zriXGBDSROB+4BNgX7AM5LOAbYA5pnZL+NV+tWE38H7UmXcC6wd\n",
       "yzgRGATcX3KcMyTtC3wMHGFm/4h9Y1cDqwL/Ao4B1gEOAHaV9GPgm3H/gyVdDqwCHGdmf4/r7wIO\n",
       "Bi6r4jt/jlTmQTN7Pr49AbimGAziZ4+U7Ju+MrtF0n7AEYQg41y7tdapfE1HC5c0DLiIMCLpSjM7\n",
       "r+Tz04AjU3XZHFjNzN7t6LHrycCRMLcgn8uospGEW5JDiiskzSsuS0po+ZJjgB+Y2d8lnZ8q4wDg\n",
       "jtQ+R7JkwAB418wGx9tPF8V9LgXGmNl1ko4BLjGzAyWNA243sz/H8gB6m9mOMagkwF6x3AnA96gu\n",
       "IPyacGX/KCGYjTGz9wjB75oqygF4hjC1jHMdkmVyu3aR1Bv4DWFU0izgSUnjzKzYBMfMLgQujNvv\n",
       "D5zS3YIBwNzlwZIcp64Y1fARIdPPRtLKwMqpK/PrgH0rlLEe8FbJupvivzcTTsgAOwFfj++vB9JB\n",
       "prTMP8d/nyG0QIreKlluk5ldI+keYBgwAjhe0jalx5X0BCGN7b1mdkqF4vwBU9cpcgsIhH6HV81s\n",
       "BkDsoB5Byz3ZUkfQ8gfb7RQKhZWAQ4EDkyTZr9b16SbaCiStnSjTQbRSOaWB9pP470KW/NspextV\n",
       "0tXAEGCWme2/VOFmbxFaPGNi5/hWwAvAdsC4uM2Okg4Clto/ZQihleJch7T2pPJ5ZjZS0iFmdks7\n",
       "yl4beCO1PBPYscKxVgD2IXQsdhuFQkHAzgdxEMDbqfUnAvMJJ5hyr0qfzQc+TZJkUdd9iy4xj3AV\n",
       "3BqZ2XuS3pW0S7yvfmQr279GuE+/eH9CQD4v/vtoXP8ocBihdXAk8LdUnfpnrP/n4/GWYGbHVtpB\n",
       "0j7Ag2b2WewQX5XwN3IZ8ISke8zssbj5irQEHJWUcxChFf6jjHV1rqLWWgj7SToTOAtoT0Co5jbG\n",
       "AcDfW7tdJGlUarHZzJrbUadKZedyy6V///7svvvuDN52MISf9bLxow51/hUKhSWWR42CQmGpn/dH\n",
       "wIeEE9v78fUe8G7qNZ/2Bab0Z58mSdKhn5+ZzZb0SLxKvtPMRrL0709x+Rjg6vh/dm/Jdun3fwd2\n",
       "IAybLn42QNKkWPfD4/oTCVfopwPvxPIh3Fa6QtKJhA7jpaqdej+UlkCS1d7AxZKKOclPK45SknQo\n",
       "cJ6ktWOd/gX8LHXcH0n6FiFQTAZ2N7PZVR7fdUOSmoCmdu9faVSfpAsIQ//6EUZlpJmZtXr1JGkn\n",
       "YJSZDYvLZwGLSjuW42e3AX8ws5srlNXQ01/3L/S3Uzn1QkIL6N+EE9VyFV5921jfF1iZMNJlFWCV\n",
       "t9763Fc///l//oPwf9WPlox29eRDQm7uD2gJTu8RWk4nJEnSqc+3SOoHjDezL3ZmuRWO1QwcUuWw\n",
       "U+dy1+n5EGJH8PB2VGQZYCqwB/Am4R7n4elO5bjdysA04AuVEu80ekBQQWaJqVAo9AP2TJLkL51a\n",
       "fjvyIRQKhV5AH6oPTKWf9aUlOA0g3GbpTwhaxeC0QhvVWTZJkgXV1D+LOArpLjMb39llp44xGDjJ\n",
       "zP4jr2M41165JMiJD8sUr7QmZL0SisPzisNOrzKzcyQdD2Bmo+M23wb2MbMjWimnWwSE3Mr3BDnO\n",
       "uTKqPXdmmcvoEMLV/SGEzrgJksrdU12Kmd1lZpua2UZmdk5cN7oYDOLyta0Fg+4mdjQ751zdyTLs\n",
       "9CfAF1MdXqsT5jb6Y54V624KhcLOhJEgT7LkWHfnnKsLWfoQJgODi3PKSOoFTDKzrbugfsU6NOQt\n",
       "o9hncPRc5l42gAEfEu63jydMdZAe8fNe6t/3kiT5tJrj+C0j51w5eXQqXwBsA9xIy1ju58zsjI5U\n",
       "tBp5B4Tm5nyGnS5a1JtZs4by0rTd6EOf+YSA0B7vE572fg34B6GTfvHw0auuOuavxx03ZitaAsuH\n",
       "HR0K6pxrfHl1Kh8E7BIXHzaz29pZv3Zp1BZC0QqFFWwkIy8HjieMaX+QlqGj6SGkxffrAhsQpl9Y\n",
       "G1i+g1VYSJhe4XVgBiGozGXJ1skSLZU8Rv0457pWLgGh1ho9IKSGnW4ELEiSZEZHyisUCulnEVa+\n",
       "7rpvPXHUUdcfmlq3BiGgDCIEl9U6crzoPcKT58VWylu0ElCAj7yV4lxteUCoQ/U27LRQKPQmTBWR\n",
       "bpUs8bAbIZisT0srpU87qvZfSZL8uu3NnHN5qPbcmefkdq5OJUmykJar+qrFobPFB9JKA0rx3zVn\n",
       "zZr1kqTvm9nixDexT2pf4E5CS+MjM7suXX7MUXB7ceCCpJsI00JfbWYXS7owfv6QpBnAdmY2J0vd\n",
       "JY0AXi4+IBmfMj7VzJ4u2W4wcLKZHbd0Ka2WvykwOv4cliNMafEjQutqfTObl9r2L4S+uRUIORn2\n",
       "MrMH4mdfJ8yu+s3iFNzO5a3NgCBpOGGe+e42oZprp3gr6OP4Kp1ierF4Yj+fnp0JbUsz+zhOdX0g\n",
       "8Pu4fmVCv9xh8TU5/vtALOdwQtZC57pMlnnUDwVeVcht60k4XDUWZ0KLvz9jacmEdohCfuBTASRt\n",
       "r5AP+Vngh6kyFmdCk/RlwhTq5TKhPSfpCUkbxvIGSXowlnm/pHUk7UyYSPECSc9I2iDuf3Dcd2o8\n",
       "RlExE1o1SjOhvRDf3kQ44RcdCNxtZvMJQelhQpraZeI8TBsCk6gu2DnXIW0GBDM7kjDf+jTgGkmP\n",
       "SfpuvFJzrjUjgX+Y2RAzO8PMRgAfx+VbCCfCdCa0H5rZtix51X5Aqoy/E66qnyo5zrtmNpiQkOmi\n",
       "uK6YCW0b4AZCJrRHCXkGTjOz7cxsWty2t5ntCJxCyIRWNAHYtcrvXMyEdqekU2JLAEJg207SgLh8\n",
       "GEvm/yimBN0HGB7r6VyXypRpyUJqvz8Rkn+vRbi6mSjppBzr5hpfRzKhVSqjrUxoX4rvdyLcn4eQ\n",
       "6yB95Z9rJjRCKtg/EqYhflzSsmb2KeEkf7Ck1YBtgXtKdv8D4VZRabBwrktkmctoRJyeupkwn/8X\n",
       "zWxfYDDwX/lWz/VQdZ8JLd7CuqNs4WZvmdkYM/s6sICQCQ1abhsdBPzFzBaW7Pdk3HZVM3ulQt2d\n",
       "y02WFsI3gF+b2VZmdn6xg83MPgJ8yl/XmsyZ0IB3JRUffmxPJjQonwmtWF6nZkKLt7CWSmspaR9J\n",
       "y8b3xUxoxT6FZmATQh9JugWQDlxnAmdnrJ9znSpLQCgQJmQDQNLycfQIZlbauefcYhayeD0iabKk\n",
       "YmKk1jKhXSZpYpntymVCS39WzIR2Ii2pJE8EjonrjwROjutvBk6X9HSqU7lcfaD9mdAmx87xu0ll\n",
       "Qosjq/4IDDSzh0qOaXGbu8t85lyXyDKX0VPAzvEeKJKWAx4xsx1a3bETdYcH00YxahlgL+CFJEne\n",
       "aGufqsrvQZPbeSY057Lr9HwIwDLFYABgZp/QkhvYtaFQKGy2N3tDSJ15F+GesmsnM/sAGC9ptzyP\n",
       "Ex9Me9WDgetJsrQQ7gcuNbOxcXkEIWXgHl1Qv2Idcm0hqLk5l2b5MosWcfALL7DJnNlo6Qv4ewjD\n",
       "DF+KrxnxCeKq9aQWgnMuuzymv96IMI57rbhqJnCUmb3a7lpWqZFvGRUKhV7NNC9somkBYYbRFwjD\n",
       "ESuZRhieOJEQKKYmSfJea8fwgOCcKye3ye3ig2gWm+xdqpEDAizuQ9gX+FqSJIuf3SgUCqsBmwKb\n",
       "ETowDyCMbClnEaGT8n5aWhWvJ0my0AOCc66cvPIh7E+YXGxxghcz+1m7atgO3SEgxOmveyVJ0uac\n",
       "UIVCoQ9h+urNCD/3YcBXKm0/e/ZAVl11zoWEqQ6KrYp5lbZ3zvUMedwyGk1I0LI7cAVhbpcnqp0F\n",
       "siO6S0DoaDlxltHVCIFiU2BHwjQHa1TYZQFhVtEHiYGC0KrwiQqd6wHyCAiTzWxrSc+Z2eA47O9u\n",
       "M/tyqzt2Ig8IbZQvbNSoQl/ChGibAlsCX6NlGodyXiL0VUwiBIqpSZJ0+e1A51x+8ggIE8xsqKTH\n",
       "CY/czwaeN7ONOlbV7Bo+ICw/x5g/MM9DzDWj7AFiq2INWvoqvkToq1i1QlmfAH8lPFU7lRA4Znqr\n",
       "wrnGk0dA+ClhFsndgcvi6ivM7KftrmWVGj4g1Gmnb6FQWA7YiJa+iv0JnduVvACMBZ5LkuQP+dfQ\n",
       "OdcRnRoQJPUCvmRmj8TlvkBfM2tXpq328oDQtWKr4nO0tCp2IbQqilM5kyRJw3wf53qqPFoIz8Y5\n",
       "6mvGA0L9KBQKy7/44osb33LLLbtYHaXGLCXpAzPr18rnniLTdXtVnzvNrNUXcCHwTWLwqMWLOC9Y\n",
       "o75C9Wtfj078/xgETC5Z925bvyPp/QgtkFdSn60ETEgtTydMA93eOs7LsE0zsEaV5d4DHJBa3jL+\n",
       "ewNwdGr9ysC/CEO1v0PovL8i9fkfCPkXvlHr/09/dd9XtefOLHMZfQ+4BfhU0rz4ej9rwHHdUl2l\n",
       "xozr14/Z/J6T9PNiAZJ+H6dbKS7fIOmAuOgpMp1LyZJCs5+Z9TKzZc1spfjKNJ+8pGGSXpL0iqSR\n",
       "FbZpiieF5+Pskq7+1VVqzLj+YuCyuP2bqTKuJFyhFzOzfYkwigo8RaZzS8iSMW3Xcq8M+/Um/CEP\n",
       "I9wnPlzS5iXbrEIYuXSAmW1FuDXl6l89psbcObX99cUCzOxvwMYKaSsPB/5kZsUhtJ4i07mUZdre\n",
       "hDNoubLrSxiW+DRhGGprhhKmD54BIOlmwm2BKaltjgBuNbOZAGb278w1d40o79SYlfweOIqQUe07\n",
       "JeWUTZEJDAFmWZmsaGb2FqHlM0bSZELay4mEk/xPY7llU2RK2gr40MxekfxukasvWW4Z7W9mB8TX\n",
       "XoRf/izDTtcmjLwomhnXpW0MDJQ0XtJTko7KWnFXU/WYGvORkvVp1wCnEDrYXkqt9xSZzqVkaSGU\n",
       "mkloMrclyzSqywLbAXsQhuY9JulxK5NgXNKo1GKzmTVnKN/lwMxmS3okXh3faWYjaT015tWSjHCf\n",
       "va3UmLemPiumxpxPuNUCITXmGEmnA+/E8iGkyLwx9lWNTZdtZu9IehG4raSO7U2RebGk+XF5iRSZ\n",
       "kv4IHGytpMgsKc9TZLpOI6mJ1qfXb33/ODSptQNcmlrsRbg3Ot3MvtXGfjsBo8xsWFw+C1hkZuel\n",
       "thkJLG9mo+LylYSRGX8qKcvMn0Po1pRjakxJKwDPAUNsyecEmvEUma4bq/bcmWXY6dOE0R9PEZrr\n",
       "Z7QVDKKnCJ15gyT1ITT7S0dWjAW+LKl3/KPdEXgxa+Vd92E5pcaUtCfhd+qSkmDgKTKdK5GlhdCP\n",
       "MKRwYVzuDSxnZh+1Wbi0L2G4YG/gKjM7R9LxAGY2Om5zGqHZv4jw4M4lZcrpFi2EQqGwbJIkn9W6\n",
       "Ps65niGPqSseB/aMV3DFzGn3mNnOHappFRo9IPTt+4mddda55wCrJklyfK3r45zrGbpkLqOunt+o\n",
       "UQNCoVDoBfzok0/6XLjccp8uInRgjgZej6+3kiRZ2FoZzjnXXnkEhEeAk8zs6bi8A3CpmbWWfKVT\n",
       "5R4QwgiYXEzYYQfG7fN1ll12QVubTiIEjCm0BIw3gPeSJPGRKM65quUREL5IeFK0+BTp54FDzax0\n",
       "moHcNGoLoWjTTafaEUfc/AlwNCGnwLrxtRkhV/L2GYp5F3gsvqYTgsXrwKwkST7No97OucbW6QEh\n",
       "FtqHMDc+wNT4mH6XafSAEFNcDgX+nSTJ9ErbFQqF3sCatASM9QjBYhfgCxkONZXQyniellbG68Bs\n",
       "b2U41/Pk0UI4AbjBzObG5QHA4WZ2eYdqWoXuEBCKo4yAhR1JR1koFFYA1qElaGxAaGXsCPRpY/eP\n",
       "CRO6PQxMI3VrKkmS+a3t6JxrPHkEhElxZsn0Ou9UzqhQKJw+bdr652+wwfSZhGkSds0zP3HMdrY6\n",
       "IVgUA8e2hKCxYYYi9kyS5IG86uec6zrVnjuzTF3RS1Kv4gyR8TmEZdtbwXqkQn6dynuzNzsNEoRb\n",
       "PmMJDwPmFhDiraF34qtsP0/Mpbw2La2M9Qm3pbYC2ny+xDnXPWVpIVxIOGmMJkzSdTzwupmdmn/1\n",
       "FtehkVsIg8yYXjKx5X7AXfV4Xz9OWX2E5ZMe846OzkFVrn4VtluOkH+gKTXddZbyVwCuALYm/L7P\n",
       "JXz3O4BzzOze1LanECazO4/Q0f8LM/tp/Gw1wkCM/zOzE7N/Q+c6Tx63jHoD3yVMQAfhj+zK0ql9\n",
       "89TIAQHg0ENvsS22mLIJ4SRTnLzt34TbM5NqV7OllZ7Y47p3gQHWyi9Ler84C+jDZrZx/Gwl4AEz\n",
       "G5pH/VrZ9hfA01ZFzuI459aqZnZaXN6YcKvv28CXzOzY1LaPAacTRnw9SEjos3387PuEv5uHzeyk\n",
       "rMd3rjPlMsqo5ABfAQ4zsx+2uXEnafSA0LfvJzZ//nICKBQKfQgzc54fP34AODpJkjcr7d+VYt6K\n",
       "4YQRS/cRRpftB0wGziFc9c8zs19K2p6QPL6YDWxYDAjPARvFMk4kJKHZwszOjseYQUhysy+wkHDi\n",
       "PJfQQX4kiXMgAAAXNUlEQVRBalqT0wkpLpcDbjOzUSX1uxf4GeFW3ADCrcyfmNm4uP+OhNlIM6fJ\n",
       "lHQx8JqZ/apk/UDCMyJrm9mCGJgeMrP1ikGK8CzJr83saUnjY/3W8haCq5W8hp1uR5h++GBgBiGp\n",
       "zaWt7tSJGj0glJvttFAoDCCkY/x2XHUR8NMkST7o6vqlSVqPcGsn3UKYZ2YrxfcJISD8Kp74f2Bm\n",
       "f5d0PrBvDAhLlCHpt8B9xSt1SdOBc81stKRfAXsSMqItDzxvZp+TtDdwkJkdL6kX4aR/PmFUVLrs\n",
       "3sAKZjYv3qZ5LNUyWQ6YZmaleTha+/7bEE7k/yAE62vN7NX42e2E+bbGSToTGGhmZ6QCwlnAVwnp\n",
       "PK8hZIjbwQOCq5VOm+1U0qYKydKnEE5WrwO9zKypK4NBd5UkydwkSb5DGPnzLCGBy7xCofDd+DxC\n",
       "rXRVeszizLeTCSfxDy1kzPsklr03sLekiYQZdzcltDpKy+4FnBPzJtwHrCVpDQAz+4QwKKJvlu8U\n",
       "95lEbKkAA4EnJW0WP76JliQ8h7J0Gsx7gL3iNn/Iekzn6kVr019PISSv2cfMdo1BwOfd6WRJkkxL\n",
       "kmQIISfwQkLn/YJCobB3bWtWtWrTY34S/10EpB90XETL6LdzLGQuG2Jmm5jZmDLlHgmsBmxnZkMI\n",
       "o6vSAWCpNJmSfiBpoqRnYn/HEmJwui3eFr0e+Fr8aBywh6QhhFbJxJL9PiMEr/8i5Fxu2Fat65la\n",
       "CwjfIDzI9DdJ/ydpD/wXPDdJkjxGuAdeTBt5T6FQmFkoFLbq4qp0RXrMJcoqs84IV9vHSloRQNLa\n",
       "klYvU7/+wDtmtjDmUlhvccHhltHC2FJoKdzs8hhktjOzfy5RGWnn+PBl8Qn9LQi3SRfnbCDkU76x\n",
       "wvf5JTDSzLKkmXWurlQMCGb2FzM7lDA2/WHgR8Dqkn4b7++6TpYkiSVJcgvhCvcnhGcFJhcKhb8W\n",
       "CoVKJ9ROZWazgUckTZZUzG7XWnrMy+JtndLtyqXHLPeZlVnGzO4jnHQfi30VfwT6lanfDcAOcZuj\n",
       "CC3boiGEuZ+qsSHQHMt7BniyZJTSTYTRYqW3i4r1fjE1JLf0uzlX16oaZRRHWnyTMMpo99xqtfRx\n",
       "u12nchaFQmFV4De03Lc+HygkSdJQD48px/SYbRz3fwkn9NJcys71CLkPO62FnhoQigqFwsbAXwi3\n",
       "LwCOBa7NcwqMzhZHId1lZuO76HjFB9O+2trzE851Zx4Q6lBHA0JRoVD4CmE206I9kiR5sKPlOue6\n",
       "Jw8IdaizAgIszsJ2GOHeOYQpE/ZLkmRK5b2ccz2RB4Q61JkBoahQKPQlPAj133HVX4DjkyR5pzOP\n",
       "45xrXB4Q6lAeAaGoUCisDvwfYZgwwP8A5yRJ8nEex3PONQ4PCHUoz4BQVCgUNiPMyFnMeXAUcGMj\n",
       "dTw75zqXB4Q61BUBoahQKOxGmHmz6KtJkvyt0vbOue7LA0Id6sqAAIs7no8mPFEL8BIwIkmSl7uq\n",
       "Ds652vOAUIe6OiAUxfzLPyF0Pr8HDPRbSM71HJ0226lrfEmSfJQkydmEeYT2yjsYSDpF0vIl6+6X\n",
       "tJKkQZImd6Q8SWWnBpd0kqSj2lHfZklPppZ3iHkMym27ME6I96ykpyV9qdrjOVfvvIXQBWrVQuhq\n",
       "Mc/BDnG+ISTtTshp8MNqMp21Ut7ivAwl27UrI5ukZkLynu+Z2d2SdiAk6NmtzLbpnBB7A2ebWVM1\n",
       "x3Ouq3kLwVUk6WhJk+JV7u/jukGSHozr75e0Tlx/jaSDUvt+EP9tilfWf5Q0RdL1cf1JwFrAeEkP\n",
       "xN2OICS2KVpG0vWSXoz7Lx/33SNORf2cpKsk9alQHpJ+Huv/WCrvwTxgtqQtq/yRGHAh8OMq91sZ\n",
       "mBPr0y/+3J6O9R8e1xcknZyq9y/id0LS6ZImxJ/5qLhuRUl/jd9tsqRDqqyTcx1nZrm9gGGEDs1X\n",
       "CFMCl37eRLi3PTG+flKhHMuznnm/QvVrXQe2JKSdHBiXV4n/3g4cFd8fQ0hVCaFD+qDU/vNS/2fv\n",
       "Ek7WAh4Fdo6fTS+WH5enpI43iJDr4Etx+SrgVMLMrq8DG8X11wInVyhvEbBffH8e8OPUZwXg+1X+\n",
       "TMYD2xMyozXF9+MrbLsg/o5Oid9/u7i+N7BSfL8a8Ep8vx4hnzOEC69XCWk+9wZGp9bfDnyF8BzJ\n",
       "71LH61/r3xl/Nf6r2nNnbi0EhdSGvyEEhS2AwyVtXmbTh6wlCcrP86qPY3fgFjObA2At8/XvRMvc\n",
       "/tcDX85Q1gQze9PCb9yzhJN9OWsVjxe9YWbF6aiLx9oEmG4xTSUhIOxaobxPzeyv8f3TJcd9s5V6\n",
       "tOXnhM731nwcf0c3J/xO/z6uL5uxzcxeI7RatiUEgWfMbC6VM8FNBvaSdK6kL5vZ++38Ls612zJt\n",
       "b9JuQ4FXzWwGLE7ePoIl56sHT7rTVYzKP+ty6xcQbykq5DTuk/osnXBmIdl/j9IdVktlMmtjPcBn\n",
       "qffpzGpl94sXJU/FxbFmNqpcncxsvKSfE4Jjm8zscUmrKSTs2Y+WjG0LY79HMWPblYRW15rA1aki\n",
       "zjGz35WWq5CJbT/g55IeMLP/yVIf5zpLnn0IawNvpJZnxnVpBuwc76XeKWkLXF4eBA5WyGmBYlYw\n",
       "wi2fYr6FI2mZTXUG4RYKwHBCNre2zCNkMCt6U9KqqeV1JRVPukcQEi9NBQZJSj9h/VCF8lrz+Vjn\n",
       "xcxsYar1OaqN/X8OjCRDQhuFHMu9gNm0krENuI3QmtiBkAEOKmSCk/R5YL6Z3UDo19iurXo419ny\n",
       "bCFkGb70DLCOmX0kaV/CBG2b5FinHsvMXpT0C+AhSQsJP/tjgROBMZJOJ+QjPibucgUwVtKzwN1A\n",
       "eshnpf/b3wF3S5plZnvQkimteDKcCvxQ0tXAC8BvzewTSccAf5S0DDCBMDdTufJay7Q2FDitih/J\n",
       "EszsLkmLJwaUtBZwhZntF1ctr5bMcAK+bWaLJN0A3K6QYe0pUi1gM/tM0oPAXGu5oXtfvHX6mCQI\n",
       "Qe8owm2jCyQVc0x/v73fxbn2ym3YabwSHGVmw+LyWcAiMzuvlX2mA9uX3HdGkhE6DYuazay582ud\n",
       "j54y7LSUpCbgUDPL9eQmqT9h2GmXZmRrS7zV9jTwTTP7R63r47q/+DfXlFqVWD08qRyv9qYCexA6\n",
       "/CYAh5vZlNQ2axKa2yZpKKHTc1CZsqyaL1VvempAgPBgGnCghaGheR3jJGCOmV2f1zGqFW9/3g78\n",
       "2cxOr3V9XM9U7bkz1wfT4m2giwhD864ys3MkHQ9gZqMl/ZDQNF4AfAT8l5k9XqYcDwjOOVelugoI\n",
       "naU7BIRRowp9kiT5rO2tnXOuc/iTynVo+eU/Arik1vVwzrnW5DnKyAGFQmHdkSMBOAAfOeKcq2N+\n",
       "y4hwSyevsg877GY222xq6eq7CE+1TomvN3xaaudcZ/M+hDpTKBSGEMb8/wkYSJhCopJJhMngnicE\n",
       "ileSJPmkle2dc64iDwh1qFAoXAFcmiTJc3FZwOrAZsDmwC6Ep4FXrlDEO4SH9p4gBIqXkiSZm3e9\n",
       "nXONzQNCHSoUCmsA85Ik+TjDtisQJjzbDNgW+DqVn9424K/AyUmSTOuk6jrnugkPCN1UoVDoTZjN\n",
       "c/P42hcoJnLZLEmSpToqnHM9mweEHibefmLUqFHzzKxf6eeSriFkKru1tXIkXRi3e0jSDMLsnXNa\n",
       "2ye17wjg5eJT6AqZyE41s6dLthtMyHVwXJZyU/uNAv4D+BewImGq6J+kn3qP250NHBwXBwPPxfdX\n",
       "mdlvqjmmc92BB4QeSpXTS44hnOj/3Mq+S6SgVEnqygzHvoZU0FHIS3xaaUCInzUDh5jZO6WftVJ+\n",
       "QkjQ86u4fAhwMbC1mf27wj5L/TwUZ5OzRvild64T+INpPZyC30h6SdJ9wBqpz/47pm6cLGl0arcR\n",
       "wP0lRZ2hkBLyieLU1CqTblPSzoRnLC5QSIO5Qdz/4LjvVEnppDt30XIVX9VXK74xs1uAewlTaLe+\n",
       "U6jzVEnXEloW66hMCsu47bdinSdK+j9JvST1VkgnOjn+PE5pR92dawgeELqfAwmd0JsDRwM7pz67\n",
       "1MyGWkh0v7yk/eP6XWhJJFP0rpkNJmS9u6i4PzDGzLYBbgAuMbNHgXGEFsF2Zlbs3O5tZjsCpwBJ\n",
       "qtwJVM6IVo1nCB3vWWwEXGZmW8V9NoqtoSHA9pK+EqekPoSQDnQIIfHPkcA2hMxvW8efx5hOqLtz\n",
       "dckDQvezK3CjBW8REuMU7S7p8Th3/+6E1KYQkrq8VVLOTfHfm4EvxfetpdssbZYWb1E9w5KpLd+i\n",
       "/aku06r53X3NzCbE95VSWO5BSAj0VPxsD2B9YBqwgaRLJO0DeGpL12351BXdT9lUmZL6ApcR8k3M\n",
       "ivfl+6Y2ae0EW5r6sq1toCXNZmmKzbIpMmPSnCHALDPbv/TzMoYQWhtZfFiyvFQKS0knANea2dll\n",
       "6jaYkPnse4RWRFWd4s41Cm8hdD9/Aw6N978/T8vQ1OLJf7akfix5H/814HOpZQGHxveHEtJsQuV0\n",
       "m9WmunytdKWZHWsh1WWbwUDSQcCetLRiqlE2hSXwAPDN+B5JAyWtq5ACdJnYKf9TPLWl68a8hdB9\n",
       "FFM03iZpd+BF4HXiydzM3pV0BWFajH8SnnouKqa6vDVV1gBJk4D5wOFxfaV0mzcDV0g6kfIdxqWp\n",
       "Lv9WZpu2/EjSt2gZdrp7cRSUpALwlJndXuGYi99XSGH5LTObIuknwL0Kmc4+A35A+P5j4jqAM9tR\n",
       "d+cagg87dcQWw/iuSEHZnmGnzrn28WGnrmpm9gEwXtJubW7cAfFe/KseDJyrT95CcM65bspbCM45\n",
       "59rFA4JzzjnAA4JzzrnIA4JzzjnAA4JzzrnIA4JzzjnAA4JzzrnIA4JzzjnAA4JzzrnIA4Jzzjkg\n",
       "54AgaVhM5fiKpJGtbPdFSQskfSPP+jjnnKsst4AgqTch/eIwQmauw+O0w+W2Ow+4m8rJVxqapKZa\n",
       "16EjGrn+jVx38PrXWqPXv1p5thCGEma2nGFmnxHmzB9RZrsTgT8B/8qxLrXWVOsKdFBTrSvQAU21\n",
       "rkAHNdW6Ah3UVOsKdFBTrSvQlfIMCGsDb6SWZ8Z1i0lamxAkfhtX1f/Uq845103lGRCynNwvAs60\n",
       "MAe36Ka3jJxzrhHklg9B0k7AKDMbFpfPAhaZ2XmpbabREgRWAz4C/tPMxpWU5S0H55xrh2ryIeQZ\n",
       "EJYBpgJ7AG8CE4DDzWxKhe3HALfHZObOOee62DJ5FWxmCySdANwD9AauionMj4+fj87r2M4556rX\n",
       "ECk0nXPO5a+un1TO+mBbPZK0jqTxkl6Q9Lykk2pdp/aQ1FvSREm317ou1ZK0iqQ/SZoi6cXYr9Uw\n",
       "JJ0Vf38mS7pR0nK1rlNrJF0t6W1Jk1PrBkq6T9LLku6VtEot69iaCvW/IP7+TJL0Z0kr17KOlZSr\n",
       "e+qzUyUtkjSwrXLqNiBkfbCtjn0G/MjMtgR2An7YYPUvOhl4kcYcEnwxcKeZbQ4MBsr2X9UjSYOA\n",
       "/wS2M7OtCbddD6tlnTIYQ/h7TTsTuM/MNgEeiMv1qlz97wW2NLNtgJeBs7q8VtmUqzuS1gH2Al7L\n",
       "UkjdBgSyP9hWl8zsn2b2bHz/AeFktFZta1UdSV8AvgZcSYMNCY5Xcl8xs6sh9GmZ2Xs1rlY13idc\n",
       "VKwQB2isAMyqbZVaZ2YPA3NLVg8Hro3vrwW+3qWVqkK5+pvZfWa2KC4+AXyhyyuWQYWfPcCvgDOy\n",
       "llPPAaHNB9saRbzaG0L4hWokvwZOBxa1tWEdWh/4l6Qxkp6RdIWkFWpdqazMbA7wS+B1wii9d83s\n",
       "/trWql3WNLO34/u3gTVrWZkOOha4s9aVyErSCGCmmT2XdZ96DgiNeItiKZL6EabmODm2FBqCpP2B\n",
       "d8xsIg3WOoiWAbYDLjez7YAPqe/bFUuQtCFwCjCI0LLsJ+nImlaqg+IDqA35dy3px8CnZnZjreuS\n",
       "Rbz4ORtI0qvb2q+eA8IsYJ3U8jqEVkLDkLQscCtwvZn9pdb1qdLOwHBJ04GbgN0l/b7GdarGTMLV\n",
       "0ZNx+U+EANEodgAeNbPZZrYA+DPh/6TRvC3pcwCSPg+8U+P6VE3Sdwi3ThspIG9IuJiYFP+GvwA8\n",
       "LWmN1naq54DwFLCxpEGS+gCHAuPa2KduSBJwFfCimV1U6/pUy8zONrN1zGx9Qmfmg2Z2dK3rlZWZ\n",
       "/RN4Q9ImcdWewAs1rFK1XgJ2krR8/F3ak9C532jGAd+O778NNNSFkaRhhNumI8xsfq3rk5WZTTaz\n",
       "Nc1s/fg3PJMwQKHVgFy3ASFeFRUfbHsR+EOlp5zr1C7At4Dd4rDNifGXq1E1YlP/ROAGSZMIo4z+\n",
       "t8b1yczMJgG/J1wYFe8B/652NWqbpJuAR4FNJb0h6RjgXGAvSS8Du8flulSm/scClwL9gPvi3/Dl\n",
       "Na1kBam6b5L62adl+vv1B9Occ84BddxCcM4517U8IDjnnAM8IDjnnIs8IDjnnAM8IDjnnIs8IDjn\n",
       "nAM8ILg6EKfmvTC1fJqkpLV9qij7GkkHdUZZbRzn4DjF9gN5H8u5vHhAcPXgU+BASavG5c58OKbd\n",
       "ZcVZRrM6DvgPM9ujvcdzrtY8ILh68BnhKdwflX5QeoUv6YP4b5OkhyT9RdI/JJ0r6ShJEyQ9J2mD\n",
       "VDF7SnpS0lRJ+8X9e8fkJxNi8pPvpsp9WNJYykx1IenwWP5kSefGdf9NeDL9aknnl2wvSZfHJCv3\n",
       "Svpr8ftImlFMWiJpB0nj4/sVY8KTJ+JMrcPj+i3juomxzhvGbf8q6dlYp0PitttLapb0lKS7U/MJ\n",
       "naSQdGdSfLrVucVyy6nsXJUuB54rPaGy9BV+enkwsBlhHvjpwBVmNlQhO92JhAAjYD0z+6KkjYDx\n",
       "8d9vE6aUHqqQiezvku6N5Q4hJEVZIqmIpLUIUy9sB7wL3CtphJn9TNJuwKlm9kxJfQ+Kx99c0pqE\n",
       "vBhXVfhuRT8GHjCzYxUyjD0h6X7geOBiM7sxtl6WAfYDZplZMdD1j5MqXgocYGazJR0K/ILQihkJ\n",
       "DDKzzyT1r3B810N5C8HVBTObR5i7p5pUo0+a2dtm9inwKmHeK4DnCTM9Qjjp3hKP8SowjRBE9gaO\n",
       "ljQReBwYCGwU95lQGgyiLwLj4wykC4EbgF1Tn5ebXniX1PHfBsZn+F57A2fGuo0HlgPWBR4DzpZ0\n",
       "BuGkPp8wz9FesYX0ZTN7H9gU2BK4P5bxY1pyiTwH3KgwlfbCDHVxPYi3EFw9uQh4hpAOsGgB8cJF\n",
       "Ui+gT+qzT1LvF6WWF9H673bxyvwEM7sv/YGkJkLuhEr7pU/6Ysmr/EpX/KX7FC3+bkDfkn2+YWav\n",
       "lKx7SdLjwP7AnZKON7PxkoYQWgo/j53atwEvmFm56bL3IwSxA4AfS9o6BjfnvIXg6oeZzSVcTR9H\n",
       "y8l1BrB9fD8cWLbKYgUcHO/lbwhsQJha+h7gB8WOY0mbqO2Mak8CX5W0qkLO78OAh9rY5xHgoHj8\n",
       "NYGvpj6bQch7AOHWUtE9pFpK8YSPpPXNbLqZXQqMBQYr5BiYb2Y3ABcSbndNBVaXtFPcb1lJW0gS\n",
       "sK6ZNROSBa0MrNhG/V0P4i0EVw/SV9a/JEx7XnQFMFbSs8DdwAcV9istz1LvXwcmAP2B483sU0lX\n",
       "Em4rPRNPlO8AB5bsu2ShZm9JOpNwG0fAHWZ2exvf7VZgD8IU7m8QWkDF3M4F4CpJ7wPNqeP+D3CR\n",
       "pOcIF23TCMHwEElHETrh3yL0CwwFLpC0KK7/Xuwf+CZwiUJu6WUI6VBfBq6L60Toj3i/jfq7HsSn\n",
       "v3YuZ5JWNLMPFYbVPgHs3FaiEudqwVsIzuXvjjhaqA/wMw8Grl55C8E55xzgncrOOeciDwjOOecA\n",
       "DwjOOeciDwjOOecADwjOOeciDwjOOecA+H/w3qeuLTP3jgAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12013b610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = ['b','g','r','c','y','k', 'lightsalmon', 'orange', 'orchid']\n",
    "    \n",
    "for i in range(len(clfs)):\n",
    "    f = plt.figure()\n",
    "    lines = [\n",
    "        plt.step(range(1, len(accuracies[j])+1),accuracies[j], c = colors[j], where='post')[0]\n",
    "        for j in range(i, -1, -1)\n",
    "    ]\n",
    "    plt.ylim((0.4, 1))\n",
    "    plt.xlim(0, len(accuracies[0]))\n",
    "    plt.ylabel('Accuracy of N guesses')\n",
    "    plt.xlabel('Number of guesses')\n",
    "    for a, c, i in zip(accuracies, clfs, range(len(accuracies[0])))[:i+1]:\n",
    "        tx = 3+i*0.4\n",
    "        ty = 0.45 +i*0.05\n",
    "        text = c.name\n",
    "        props = dict(color='gray', shrink=0.0, frac=0.05, width=0.5, headwidth=3)\n",
    "        plt.annotate(text, xy = (2, a[0]), xytext=(tx, ty), arrowprops = props)\n",
    "        \n",
    "    plt.savefig('classifier-n-guesses_{}.pdf'.format(i+1), bbox_inches='tight')\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Get Bag-Of-Words examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Done.\n",
      "BODY\n",
      "101~(1), 1949~(1), 1968~(1), 2015~(2), 31~(1), 66~(2), abus~(2), acl~(1), activ~(1), advic~(1), aid~(1), airbag~(1), aliv~(1), audienc~(1), avalanch~(2), bar~(1), bay~(1), bc~(1), big~(1), blow~(1), brave~(1), break~(1), british~(1), bum~(1), champ~(1), code~(1), columbia~(1), compani~(1), copyright~(1), crack~(1), creat~(1), cruz~(1), deepest~(1), dream~(1), elk~(1), enjoy~(1), entertain~(1), excit~(1), exot~(1), explor~(1), famili~(1), film~(2), financi~(2), fli~(1), friend~(1), gear~(2), goal~(1), grand~(1), great~(1), group~(1), hotel~(1), idea~(2), inspir~(1), interest~(1), jump~(1), lab~(1), largest~(1), latest~(1), lifetim~(1), locat~(2), luxuri~(1), magazin~(5), massiv~(1), media~(1), meet~(1), midwest~(1), miller~(4), mountain~(2), network~(1), nevada~(1), organ~(1), perform~(1), polici~(1), powder~(2), privaci~(1), publish~(1), race~(1), record~(1), recreat~(1), region~(1), reno~(1), review~(1), safer~(1), scene~(1), servic~(1), set~(1), shot~(1), ski~(13), skier~(1), slog~(1), snowboard~(1), sponsor~(1), sync~(1), term~(1), territori~(1), travel~(1), travers~(1), trip~(3), tropic~(1), voyag~(1), warren~(4), weekli~(1), white~(1), winter~(2), world~(2)\n",
      "META\n",
      "deal~(1), gear~(2), lift~(1), magazin~(6), miller~(3), photo~(2), resort~(2), review~(1), ski~(13), ticket~(1), video~(2), warren~(3)\n"
     ]
    }
   ],
   "source": [
    "d, c, m, dmoz_data = jsoncorpus.load_or_create('docs/sites.jl', stemmed=True, prefix=\"stemmed_\")\n",
    "#d, c, m, dmoz_data = jsoncorpus.load_or_create('docs/sites.jl')\n",
    "[i for i, q in enumerate(meta) if 'skinet' in q[0]]\n",
    "\n",
    "print \"BODY\"\n",
    "arr = sorted([(d[w], int(count)) for w, count in c[185]])\n",
    "print \", \".join(\"{}~({})\".format(w, c) for w, c in arr)\n",
    "\n",
    "print \"META\"\n",
    "arr = sorted([(d[w], int(count)) for w, count in m[185]])\n",
    "print \", \".join(\"{}~({})\".format(w, c) for w, c in arr)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### See some examples of misclassified websites"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 346,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Pipeline(steps=[('selection', ItemPicker(index=2)), ('feature', Pipeline(steps=[('tfidf', TFIDFModel(id2word=None)), ('matrix', TopicMatrixBuilder(keep_all=True, num_topics=13021, topic_min_members=0))])), ('classifier', LinearSVC(C=0.04, class_weight='auto', dual=True, fit_intercept=True,\n",
       "     intercept_scaling=1, loss='squared_hinge', max_iter=1000,\n",
       "     multi_class='ovr', penalty='l2', random_state=None, tol=0.0001,\n",
       "     verbose=0))])"
      ]
     },
     "execution_count": 346,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import urllib2\n",
    "\n",
    "fullclf = pipelines.make_classifier(dictionary, feature='tfidf', corp_type='both', classifier = 'svc', class_weight='auto')\n",
    "fullclf.fit(X, classes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 347,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[u'none' u'sports' u'recreation']\n",
      "[-0.87555712 -0.9031664  -0.91405819]\n",
      "2015, mark, lindsey, panorama, drove, ring, xs, expir, undergradu\n",
      "melayu, 1220, drove, ring, xs, expir, undergradu, rink, wedg\n"
     ]
    }
   ],
   "source": [
    "\n",
    "response = urllib2.urlopen('http://bacon.com')\n",
    "html = response.read()\n",
    "\n",
    "processed = jsoncorpus.process_html(html)\n",
    "words = processed[0] + list(itertools.chain.from_iterable(processed[1].values()))\n",
    "stopped = (word for word in words if word not in datastuff.stoplist)\n",
    "stemmed = list(jsoncorpus.stem_words(stopped))\n",
    "doc = dictionary.doc2bow(stemmed)\n",
    "\n",
    "d = [doc, doc, doc]\n",
    "probas = fullclf.predict_proba([d]) if hasattr(fullclf,'predict_proba') else fullclf.decision_function([d])\n",
    "preds = np.fliplr(np.argsort(probas))\n",
    "print dmoz_encoder.inverse_transform(preds)[0][:3]\n",
    "#print fullclf.predict_proba([d])\n",
    "print np.sort(probas[0])[::-1][:3]\n",
    "\n",
    "weights = fullclf.steps[2][1].coef_\n",
    "transformed = Pipeline(fullclf.steps[:2]).transform([d])\n",
    "trf = transformed[0] * weights[preds[0][1]]\n",
    "inds = np.argsort(trf)[::-1]\n",
    "best = [dictionary[i] for i in inds][:9]\n",
    "print \", \".join(best)\n",
    "trf = transformed[0] * weights[preds[0][0]]\n",
    "inds = np.argsort(trf)[::-1]\n",
    "best = [dictionary[i] for i in inds][:9]\n",
    "print \", \".join(best)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 348,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['classifier2.pkl',\n",
       " 'classifier2.pkl_01.npy',\n",
       " 'classifier2.pkl_02.npy',\n",
       " 'classifier2.pkl_03.npy']"
      ]
     },
     "execution_count": 348,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "joblib.dump(fullclf, 'classifier2.pkl') "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0984570980072\n"
     ]
    }
   ],
   "source": [
    "loadclf = joblib.load('classifier.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}