{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Genre recognition: experiment"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Goal: Test the influence of self-connections in the graph.\n",
    "\n",
    "Conclusion: No influence.\n",
    "\n",
    "Observations:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hyper-parameters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Parameter under test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Pname = 'diag'\n",
    "Pvalues = [False, True, False, True]\n",
    "\n",
    "# Regenerate the graph or the features at each iteration.\n",
    "regen_graph = True\n",
    "regen_features = True\n",
    "regen_baseline = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "p = {}\n",
    "\n",
    "# Preprocessing.\n",
    "\n",
    "# Graph.\n",
    "p['data_scaling_graph'] = 'features'\n",
    "p['K'] = 10 + 1  # 5 to 10 + 1 for self-reference\n",
    "p['dm'] = 'euclidean'\n",
    "p['Csigma'] = 1\n",
    "p['diag'] = True\n",
    "p['laplacian'] = 'normalized'\n",
    "\n",
    "# Feature extraction.\n",
    "p['m'] = 128  # 64, 128, 512\n",
    "p['ls'] = 1\n",
    "p['ld'] = 10\n",
    "p['le'] = None\n",
    "p['lg'] = 100\n",
    "\n",
    "# Classification.\n",
    "p['scale'] = None\n",
    "p['Nvectors'] = 6\n",
    "p['svm_type'] = 'C'\n",
    "p['kernel'] = 'linear'\n",
    "p['C'] = 1\n",
    "p['nu'] = 0.5\n",
    "p['majority_voting'] = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# HDF5 data stores.\n",
    "p['folder'] = 'data'\n",
    "p['filename_gtzan'] = 'gtzan.hdf5'\n",
    "p['filename_audio'] = 'audio.hdf5'\n",
    "p['filename_graph'] = 'graph.hdf5'\n",
    "p['filename_features'] = 'features.hdf5'\n",
    "\n",
    "# Dataset (10,100,644 | 5,100,149 | 2,10,644).\n",
    "p['Ngenres'] = 5\n",
    "p['Nclips'] = 100\n",
    "p['Nframes'] = 149\n",
    "\n",
    "# Added white noise.\n",
    "p['noise_std'] = 0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Numerical parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Graph.\n",
    "p['tol'] = 1e-5\n",
    "\n",
    "# Feature extraction.\n",
    "p['rtol'] = 1e-5  # 1e-3, 1e-5, 1e-7\n",
    "p['N_inner'] = 500\n",
    "p['N_outer'] = 50\n",
    "\n",
    "# Classification.\n",
    "p['test_size'] = 0.1\n",
    "p['Ncv'] = 20\n",
    "p['dataset_classification'] = 'Z'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Processing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import time\n",
    "\n",
    "texperiment = time.time()\n",
    "\n",
    "# Result dictionary.\n",
    "res = ['accuracy', 'accuracy_std']\n",
    "res += ['sparsity', 'atoms_D']\n",
    "res += ['objective_g', 'objective_h', 'objective_i', 'objective_j']\n",
    "res += ['time_features', 'iterations_inner', 'iterations_outer']\n",
    "res = dict.fromkeys(res)\n",
    "for key in res.keys():\n",
    "    res[key] = []\n",
    "\n",
    "def separator(name, parameter=False):\n",
    "    if parameter:\n",
    "        name += ', {} = {}'.format(Pname, p[Pname])\n",
    "    dashes = 20 * '-'\n",
    "    print('\\n {} {} {} \\n'.format(dashes, name, dashes))\n",
    "    # Fair comparison when tuning parameters.\n",
    "    # Randomnesses: dictionary initialization, training and testing sets.\n",
    "    np.random.seed(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " -------------------- Graph, diag = False -------------------- \n",
      "\n",
      "Data: (149000, 96), float32\n",
      "Elapsed time: 186.57 seconds\n",
      "All self-referenced in the first column: True\n",
      "dist in [0.0, 1.47963690758]\n",
      "w in [0.00622187927365, 1.0]\n",
      "Ones on the diagonal: 149000 (over 149000)\n",
      "assert: True\n",
      "W in [0.0, 1.0]\n",
      "Datasets:\n",
      "  L_data    : (2404994,), float32\n",
      "  L_indices : (2404994,), int32\n",
      "  L_indptr  : (149001,) , int32\n",
      "  L_shape   : (2,)      , int64\n",
      "  W_data    : (2255994,), float32\n",
      "  W_indices : (2255994,), int32\n",
      "  W_indptr  : (149001,) , int32\n",
      "  W_shape   : (2,)      , int64\n",
      "Attributes:\n",
      "  K = 11\n",
      "  dm = euclidean\n",
      "  Csigma = 1\n",
      "  diag = False\n",
      "  laplacian = normalized\n",
      "Overall time: 196.24 seconds\n",
      "\n",
      " -------------------- Features, diag = False -------------------- \n",
      "\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Datasets:\n",
      "  Xa: (10, 100, 644, 2, 1024) , float32\n",
      "  Xs: (10, 100, 644, 2, 96)   , float32\n",
      "Full dataset:\n",
      "  size: N=1,288,000 x n=96 -> 123,648,000 floats\n",
      "  dim: 123,648 features per clip\n",
      "  shape: (10, 100, 644, 2, 96)\n",
      "<class 'h5py._hl.dataset.Dataset'>\n",
      "Reduced dataset:\n",
      "  size: N=149,000 x n=96 -> 14,304,000 floats\n",
      "  dim: 28,608 features per clip\n",
      "  shape: (5, 100, 149, 2, 96)\n",
      "<type 'numpy.ndarray'>\n",
      "Data: (149000, 96), float32\n",
      "Attributes:\n",
      "  K = 11\n",
      "  dm = euclidean\n",
      "  Csigma = 1\n",
      "  diag = False\n",
      "  laplacian = normalized\n",
      "Datasets:\n",
      "  L_data    : (2404994,), float32\n",
      "  L_indices : (2404994,), int32\n",
      "  L_indptr  : (149001,) , int32\n",
      "  L_shape   : (2,)      , int64\n",
      "  W_data    : (2255994,), float32\n",
      "  W_indices : (2255994,), int32\n",
      "  W_indptr  : (149001,) , int32\n",
      "  W_shape   : (2,)      , int64\n",
      "Size X: 13.6 M --> 54.6 MiB\n",
      "Size Z: 18.2 M --> 72.8 MiB\n",
      "Size D: 12.0 k --> 48.0 kiB\n",
      "Size E: 12.0 k --> 48.0 kiB\n",
      "Elapsed time: 2455 seconds\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfIAAAFRCAYAAACPGS+QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm4HFW57/FvZ4CEhABhDkM2gigoCoIg5zIsURmuOOOE\n",
       "qKAXPU7gOYoMgpagRxQcEI4cVEYZFRlEBUGkEZEDCgQiMktISCCMgRBICEndP95Vdu3e3b2rdw+r\n",
       "V/fv8zz1dM39dvXevWoNtRaIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIyBiVgU8Geu8hYCUw\n",
       "rs72BPh5t4IRkd5S74dBpB/tAvwFWAQ8BfwZ2KHgsamfelGvxiUiXTAhdAAiXTIN+A3waeAXwKrA\n",
       "rsCykEF5E4CXWzi+1K5A+lSr11ekpylHLoNiSyznepF/XQpcA8z22xOGF08PMbI4ewvgZuBZ4DJg\n",
       "rQbvVwa+XWf/7NyfAB4G/oAlxkcDc4CFwNnYzUfeJ4H5wALgSw3e+01YycMzwCxg96q4jgNuBBYD\n",
       "vwbWAc7zcd4CzMzt/wMfz7PAncBr6rzndOBMH9/TwKW5bQcD92OlIJcDG+a2rcRuru7z8Z7i16+K\n",
       "lZzk329d4AUfL8C+/vM94z/PNrl95wBf8TEvBsYDH8Ou95NUrvVb/P4l4AjgAb/9IkZ+X9nxTwBH\n",
       "5d5rnF9+AHgO+Buwsd/2auzv7CngHuD9iIjImKyO/UCfBezNyET46zROyMvAI8DWwGrAxTSul260\n",
       "f3bus4DJwCQsUb/fb5sC/Ao4p2r/8/z+rwUep5IIJblzb+Q/595++a1+ee1cXPcBm2E3Cnf5990D\n",
       "S+zOBs7w++6FJUrZDcWrgA3qfN7fAhcAa2A54F39+j2whG9bYBXgR8D1ueNWYjcT04BN/Ofay287\n",
       "Hfhmbt/PAb/z89thNxhvxBLhjwEPARP99jnAbf56rIp9D4uBf/P7nAC85OMDOBS7+Znht/8PcL7f\n",
       "NuTjPM2f63XYjeCr/PbDsBuGV/rlbbAbmynAPODj2N/Rtv5abDXi6omISCGvxnKN84DlWO5wPb8t\n",
       "oXFCfh3wX7ntW2HF8vWKtRvtn517KLf9WuDfc8tbYgnNuNz+W+a2fwf4WY3YD6dyA5C5CkvosriO\n",
       "zG07EUuEM/sCt/v5PYB7gZ1oXHq3IbACS8SrnQ4cn1uegn2uTf3ySixxzVzkPwPYjcoDuW03Agf4\n",
       "+VOBY6ve6x4qNxAPAQfmtn0NuxHKTMa+jywh/0duPvtM1dd/Rm77zcAH/Py9wDsY6YPAn6rWneZj\n",
       "EWkbFa3LILkHOAjL+b0W+2H+YRPHz8vNz8VybutiubfFfjpilP3XqbN9Q6zYNr//BGD9BufLJyyZ\n",
       "mVjx7TO56f8wPCe9MDe/FMsF55en+vk/YkXd/+2POQ0r2ai2CVac/myNbdWfawlWzLxRbt1jufkX\n",
       "cu9fxkozdsQS09dTKbKfiVUv5D/nxgy/JtXX95Hc8os+jsyQP3d2rn9g9er5618vzo2BBxlpJnYT\n",
       "lI9x/6pzirRMCbkMqnuxYuTX+uUlWKKRqVWEvGnV/HKsqPTfsQRudYbnPmvt/2RuXb61+QKG59A3\n",
       "xRKShVXr8vPza8Q4F8udr5WbVge+W2Pf6hhqORlr2b81ViJwWI195mFFybVy5NWfawpWzF8r9mor\n",
       "sIaJH/bTFdj3BPY5v8XwzzkVy9Fn8p/tUSr11mA58rVzy3OpVLlk02r+uNHMw9pPVJuLVSNUfxef\n",
       "K3BOkcKUkMugeBXwn1RygptgicNNfnkWsJtfvwbDi5/BisQPwIrIV8OKdX9J/YSw2f0vAP4DS/Sm\n",
       "YsXyF2JFupmjsQToNVix8UWMdC5WzLsnVuc9CXAMzwGX6sxX2wHLUU7EcqBLscS12qPAlcCPgTX9\n",
       "/rvlPtdBWG56Vf+5/hdL5Gqpjud84ENYTvb83PqfYjdQO/pjpgBvp5JLrnYxdl12xurqk6r3+h8f\n",
       "W3aztC7wzjrnqvYzrAHhFv6cr8NubH6D3fwcgF2TiVid/qsLnlekkF5LyEvYXfaPqNTpibTDYixR\n",
       "uhl4HkvA76TS+vsaLGG8E/grlvvLJ7opVvd8FpZwrQIc0uD9UixnXG//6gT9DL//n4B/YgnnF6r2\n",
       "vx6rM/4D1ljrD7lt2fkeAd6FtaJ+HEswv8TwRKv6c1XHki1PA36CFZvPwUoTTqjzeT+KlTjcg5Ui\n",
       "ZJ/1WuAYrPHeAqyR3YfqxFIrnluw72tD7GYhcyvWGv4UH9/92G9GvRulf2DX80Ifx2Ls+mSPH56E\n",
       "Nbq7Gmt5fhN2k1AvzrzvYyUHV2PVCz/FbqCex26oPoSVQDyKPcmwSoNziUTvPdgP34kMb3giEpvr\n",
       "sJbo0pumYjceM0fbUaTX9VqOfEusZeqXgc8EjkWkVeqopbe8A6vmmIJlFu5keEM8kSh1IyE/Aytq\n",
       "m121fm+sGO5+Ko+bPIJ1AgHD6wZFYqSuU3vLO7Ei7vnA5gwv4heRBnbFOm/IJ+Tjsbq+IawByCys\n",
       "UdBkrOHIj1COXEREpGcMMTwh3xnrpCJzBMOfvxUREZECQg2ashHDO2t4BGtRXNR8aneGISIi0o/u\n",
       "wLr5DWaI4Tny92GPaGQOwDqeKEp1j81LQgcQqSR0ABFKQgcQoSR0ABFKQgfQZXXTvVCt1udjHW9k\n",
       "NmF494nSfkOhA4jUUOgAIjQUOoAIDYUOIEJDoQPoFaES8r9hIwUNYZ0jfBDrjKEZCdZjlYiISL9y\n",
       "9EDpwwVYT0rLsHrxg/z6fbD+rh9gZHeYo1HRevNc6AAi5UIHECEXOoAIudABRMiFDqDL+i7d67sP\n",
       "JCIi0kDP1ZFL97nQAUTKhQ4gQi50ABFyTe7/NJV+6TX11/Q0TQr1+Fk7JNh4xeWgUYiIdN9aqAtg\n",
       "R3/+/lfnvB19enOsonURGWT6Dexf9b5bFa2LiIj0IyXkg8OFDiBSLnQAEXKhA4iQCx1AhFzoAHpF\n",
       "zAl5gr5IEZFBcBZwXOggAnH0wHPknaD6IREZZL38G/gRYHGNaSVw9BjPeSZwbMF9y8Anx/g+EP6m\n",
       "QXXkIiIS1HnA6lXTfwCPMXyMjWYVbaUf+iZnfOD3j0boLypGLnQAkXKhA4iQCx1AhFyT+8f0G7gd\n",
       "liPfrcljbgOeAy7EegjNcslrAb8BnsGeub4CG1ET4FvAy8CL/j1/5NefBMwFnsW6CN+lzvt+CngJ\n",
       "64l0MXC5Xz8D+BXwOPBP4Au5YxLgYuDn/vyfxEoFvgnc6M/za2Ad7CbnWeAWYGadGJrOkccqRXXk\n",
       "zXKhA4iUCx1AhFzoACLkmtw/lh/1NYEHgcOq1h+BJcC1rAI8DByK5W7fhyWuWdH6dOA9wJ7AVOAX\n",
       "wKW5468DPlF1zo9gNwDjgP8EHvXvU0t1Mf444FasWmACsJn/THv67YmP751+eRKWkN/n950G3AXc\n",
       "D+zhP9PZwBl13r/Wc+RJjfXR67sPJCLShAK/gWna+tSSEpYTvXS0Havsho2QmXcj9evIt2V4b2jX\n",
       "MXod+dPANnW2ncnwOvKdsBuLvCOpJMQJIzumuY7hY4icCPw2t7wvcHud9286Rx5zz24iIlJXKXTP\n",
       "b4cDWwHbN3ncDEYm5A9TqSNfDfgBsBeWywbLmZeoJHbVid6XsVz6DL9tGlbUXcRMf9wzuXXjgT/l\n",
       "lmsNw70wN78UK5bPL08t+P6jUmO3weFCBxApFzqACLnQAUTIhQ6gzRxwFLAfVs/djEep1HlnZlJJ\n",
       "nL8EbAl8EVgD2B1LxLOEvjoR3xUr2n8/VtS/FlZPXe9Gp/r4ucBD/rhsmoblqrP9Ryu96GgpshJy\n",
       "ERFppw2xBmqHAneM4fi/YA3WDgEmAu8F3pjbPhVrzLYEqy//etXxC4HNc8ur+/M9idWLfw1LiOtZ\n",
       "CLwit3wL1mDtK8BkLDf+WmAHv73eDUGpznzbKSEfHOXQAUSqHDqACJVDBxChcugA2uhgYD2sxXj1\n",
       "s+Q/9vscBfyuzvHLscT7QOAp4ANYi/HMD7EE9RIs0b+S4Tnek7CSgKf9vlf56T5gDnYTMLdB/KcD\n",
       "W2NF6Zdgz7/vi9XF/xN4AvgJlZuBejnytGq+ep+Bb+ulVusiMsgGPhHoY2q1LnW50AFEyoUOIEIu\n",
       "dAARck3ur9/A/v07U89uIiIi0vt0Nyoig0y/gf1LOXIREZFBooR8cLjQAUTKhQ4gQi50ABFyoQOI\n",
       "kAsdQK9QQi4iIiJdp8fPRGSQqY68f+nxMxGRAaDfwP6lxm5SlwsdQKRc6AAi5EIHECEXOoAIudz8\n",
       "rsA9geIITgm5iIi000cY2TXrYqyr06M79J43AK9u4/nKjD4UqrRIxUoiMshi+w38f8ACYP0OnLvV\n",
       "4bhrZWiLjGne7DmLarpoPVZ994FERJoQ02/gdliOfLcmjpkDHAHchQ1+cgawqt/msPG/v4INeXq2\n",
       "Xzcvd/xWWK76GeDvwDty284CTsUGbXke2KPqvb+FjZb2oo/7R379q4FrsIFc7sGGRa13zrf4z/Bl\n",
       "4E5/ntOxG5krsWFUr8GGVa2mhFzqcqEDiJQLHUCEXOgAIuSa3D+W38A1gQex8cDzjgCuaHDcHCwB\n",
       "3Agb//vPwHF+m8NGSDsPG+Z0EsMT8onAA/49JgBvxsZE39JvPwtYBOzsl7MbhLzrgE/klqf4838c\n",
       "y21vi42CtlWDcz6Ejc62LjADGx71NuD1fvu12JCq1ZpOyFstkhARkV6UtCGxT1oaR7sEnIMlyCdU\n",
       "bTt+lGNT4BRgvl/+FnAycIxfXgmciSXoy6uOfROW8GbvcR3wG+DDwDf8usuAm/z8sgbxZ/bFEuaz\n",
       "/fIsbIjT9wPHNjjnyViCD1aPv5DKGO2XYjn3lsWckCdY0Uk5aBTxKIcOIFLl0AFEqBw6gAiV237G\n",
       "1hLhdjgcy7FuP8bj80Xlc7FcbeYJ4A91jptRdSzAw7njU6xofjT5G6GZwE5YUX1mAnaj0uicC3Pz\n",
       "L1YtLwWmFojDMUqJTewJuYiI9B4HHIU9FvbcGM+xadX8gtxyo9KGBcAmWI46228mzT2eVn3+ucD1\n",
       "wJ5NnKOWsdxclf309Xo76PGzweFCBxApFzqACLnQAUTIhQ6gjTYELgQOpVKM3KwS8Fmsjnw68FV/\n",
       "zjxX59ibgRewxnAT/X775o4vkpguBDbPLf8Gq2M/wJ9zIvBGKo+8BS39UEIuIiLtdDCwHtbau/pZ\n",
       "8h/7fY7CWnjXkwLnA1djjeXuB75Ztb3WMQAvYa3U98GK4E8BPgrcl9tvtPYDJwH7YS3mf4i1RN8T\n",
       "+BBWb/8o8G1glSbOWR130WP6Vgppq0UcIiKx6vcE4CFGPhY2KAaqi9azIJ0eOggREZGQYk7IL6fy\n",
       "KIKMzoUOIFIudAARcqEDiJALHUCEXOgAekXMrda/AdwF6fegVORRAhERicNmoQOQzvN1BenxkJ4a\n",
       "NhQRka7r9zryQTZoXbSm60D6FKSbhA1HRKSr+u5HXf5l0BJygPS7kJ4SLpRouNABRMqFDiBCLnQA\n",
       "EXJN7t93P+pj4EIH0CED1Wo9cyKwP6QbhQ5EREREiqm6M0m/B+lJYUIREek65cj710AVrSf8q2gl\n",
       "3QDSp5UrF5EB0Xc/6gUkwM9DB9EF1d+twz57333nNT5QmkD6O0hDj/jTq1zoACLlQgcQIRc6gAi5\n",
       "Jvfv9R/1OVh/589hI4bdCHya1vok/zrDE3LXYN+zqIxfPhYJ4W4aBrKOPPMtYB3g6NCBiIgMuBQb\n",
       "qGQaNnLZ8diwpqeHDKqLxocOIAZ17kzSGZDeDenpkG5aex8Rkej1eo68Vl/pbwRWAK8peI7NsKFD\n",
       "n8MGTzmZ4bnkX2KDlyzy+23t138KGzhlGTZQy+V+/RHAA/58dwHvrvO+e/tjX/LH3+7Xr4HdiCzA\n",
       "xh4/jkpm+ECs1OH7wJN+25nYIDG/8+e5AdgAG5DlGeBuYNsa7z9QdeT1Nk3zjd+egfRWSM+D9ARI\n",
       "vwHp1yD9KqRHQHoYpP8B6WcgfQ+kO1nin65S/9wiIj2h13/U6w168jBWxA6wP42HOb0JeyppIpVx\n",
       "zc/JbT8QmOK3/4BKgguWiB5bdb79sIQU4APYiGYbUNvXq94L4FLgVGAysC42XOqncrEsBz6HJe6T\n",
       "sOL9J4DtgFWBa7EqhwOwKobjgD/WeO+mE/KYu2ito/Qc8CVIjwK2x8aUnYFd/InYBR6fm1bDvswN\n",
       "/X7rQboIu+taADyG3U0twb74Jdjd2nLsjq3Wa6NtNfYpdeOf0mGD00tzHLpuzXLomjXL0eZrlrYh\n",
       "sS+1f5ztBdj44mDDlJ5fZ79NgR2wm4HlWG72CobHMwf7PQbrsvtQYHXs9xpGxn5xbv4XwJHAjsCv\n",
       "a7x/qer49bFhUdcElgIvYsObHgz8JPfZ/tvPL8Wu/yVUbjAuBT4DnJuL4fM13rtpfZiQZ0rLgL/4\n",
       "qQnpeOxua4af1gem+ml1LNFflcrg8quM8jraPhMgfZnaif3KGlNaZ/0o2y5bE979VJ1jsn/4ovMj\n",
       "1q3L4xOO4bh7D+GUrxW7ziLSSR1IhNthI2yM79HMwIqfX8ytexjIevEcj+WGf4b9Xq/069ehkpBX\n",
       "+xjwH8CQX54KrF0w7pnYb/ajuXXjgLm55Xk1jns8N7+0avlFH0PL+jghH6vSCiwX/hhwW+ffLy1h\n",
       "30OtRL6E/bHUmuptq7P+3Y2OgeF3oI3ma27fhtnTP81pXz0E+i0hL4cOIELl0AFEqBw6gC54I5aQ\n",
       "/7nAvo8Ca2Elpi/4dTOxOnawYvltgbdgCfya2A1C9rtUXRoxE8s574EV2adYTrnezc7KquV5WEns\n",
       "2jW2ZYJVdyghD66UUilqj9a1VkpxYgrjSvX/0EVkcGSJ5DRgN6wo+udYQ7PRPAz8DSsyPwrYCWsF\n",
       "nzVcm4olrE9j9eT/VXX8QuAVueUpWEL7JJZ5+Rjw2gbvvxB4m/8MKXZjcTXWmO0YrEh/M+zG5E91\n",
       "ztG1EpF+evxMGnOdPHnJ/qmWYHfG/cSFDiBCLnQAEXKhA+iAK7AGanOx+ujvAQfltn8E+HuD4/fH\n",
       "EvCnsZK+s3PbzsF+b+b7c2S57MzpWCv2Z7B66n/4978JK219LY1LBn7pX5/CbijAEv9V/Lme9vtk\n",
       "jeXyVY3UWVdvn4E10B9+jFyn3yCFe1LYqtPv02UudAARcqEDiJBrcn/9Bvbv35keP5NwUrgyhS+E\n",
       "jkNkAOg3sH81nZD3YqvGIlLijb1vpfAqrL7oUqzYahGVxzBSAMd1x16PWwTcjzU2KUNpbs0Tikg9\n",
       "+g3sX/W+27rfeax/CPojbp6jCy1jU6szOgh4Hfa43mRyLdznsfHcTZl3CfBK7BlOR6Xnpt8Df4RS\n",
       "vcdHQnAMRovidnLomjXL0dw1029g//6dNZ2Qq9W6tFXJGpJ8u/4ejzD8bzEtYQ1P9sI6RzgX0tuw\n",
       "RP1q4DYoqRW8iEgkHNaDz6nA7g32U/1Q30pXg3QfSH/o+81/AtLzIT0Y0h1tu8jA029g/4q+i9aV\n",
       "WK88q2JZNxk4pReAK/2EH/xmL2AXrB/jV0H6MHAnNgDCP3PTI1B6ufsxi4iE02t1LNnD9+thD94f\n",
       "UGc/1Q81z9EX9UnpKsCrseL4V1RN62FdID6Wmx7NzT+JPf/5lL2WXirwho6+uG5d5dA1a5ajuWv2\n",
       "NNbzmfSfZ6j0R58XtI78DODt2A/sNrn1e2M9/YzH+sv9DpWig0VYrlykSuklLDd+58ht6apUBsDZ\n",
       "IDdt61/Xwf5B1gbWgnQp/0rU//X6LFYq5KcTNoDDNsite86/vkBl8IRlXRr4RiRT64d+0Dh0wwh0\n",
       "J1e7KzZq2DlUEvLxwL3AW7Geef4KfBjLae2F9Q72Y+p3faccubQoLWGt6temkrhPx7qTnOa3rd5g\n",
       "fjVsJL1sVL2lVBL2F2vMZwPhZAPkLC+4vMJP9QbKaXaqNfhNvddm9p0FpUXVV1lE2iZojvwGKqPN\n",
       "ZHbE6jfn+OULgXcBx2PPIIt0WCnFctfPYWMntyAdj5UgTfbTpNx8Nk3E/t8m5qbq5fy6bJzl8dQf\n",
       "OKfZaXz24Qu8Ftkn/3ooVpImIl0WqrHbRgwf8u0RrE/dZpxF5UZgETCLSjGL869arixvi1Vl9Eo8\n",
       "sSxn8w32L+1a4HxLuxRv15ffAx/bHPY6Ee7w67/Iv/4f08/DaW+AZS/CIXcAz8NXNobHF8FZvwOe\n",
       "gNLOvfR5Ai3r/7P55Wxdr8TT7uVsfohRdKt4egjrQD8rWn8fVkd+sF8+AEvIi3bvqaL15jlUnzQW\n",
       "Dl23hlLYAfv/fnMJ7mHYNUsPwkaJmuqn1bEqjPX8tC7W3mAh1o7mcT//FHaD/kzVtMjv76stStmw\n",
       "lrFz6O+sWY7BumY91yHMfCoDxOPn9bhZZ5VDBxCpcugAel0J/pbCV4G/pPC/wIPYkJPLobSg1HCM\n",
       "+rSEtb7OEvb1/TQd2Bh7OmGt3LQmleqK1SBdTqUtwotUGiEu7+CUtVmo9dpoW6N9HwY2pdI2obqt\n",
       "QqOpjftF1WizHDqAXhEqIf8b1kXnELAA+CDW2K0ZCfZFltsXloiMRQnOSOEyrHHrEDbc4ypY4tro\n",
       "yBR7WuBpLDffhLTk3yPfFiFrhFjd9qDetEqNdZOxho31jsnaG2Sv42usq/c62rbq9gmjTe3cD5/e\n",
       "rwalqu8tfTNWmvKSn5bl5rPlpbnXpX1UWhKaY3hx+wjdKJ6+AOulbW2s2OxrwJnAPlQePzudht16\n",
       "jqCi9eY5dNMzFg5dt2Y5dM2a5eiZa5aWRubM0+9gQxSvSuUmLT9N8tsm5aYVVJ7myCXwNdctZ/jT\n",
       "FSvqzOeWz9wIDnqYytMYXSix6Oi+AJf5TrHy1341YDqU5hGwaL1eTjvXe5eIiISWwhZQeqJk/Snk\n",
       "lA5v8kwlLH2ZVDVVJ/bZNIHhJRTjRl9eshrWbmIco5dENNqnmZKNTu2b7fd7rHoob3fgp3Uu9L8O\n",
       "jFEKfAMVrYuItE0KhwFHYcMQ349VebwMPFGyklPpPuenr1MnzY45IY81dhGRnuWHIt4Fa+uwFpYL\n",
       "fqIE3wsZV79LrV3Gy6WROfLcLv2V7sXUsrJXuNABRMqFDiBCLnQAEXKhA4iQCx1AO6Xw5RSWpvBU\n",
       "Cg+ncG8Ks1O4M4XLacPoZ0PAFsAfsFahE7AesURERKRFJTgxtcHC1sZ6dpyENSQEezLgna2c/1NY\n",
       "X+gP+uUtgWtbOWEbpNjjZy5sGCIiIh3lsPSupZLoO7CWhrfn1s1u5YRtoKJ1EREZJHXTvXEFDl7m\n",
       "p8yERieUnuVCBxApFzqACLnQAUTIhQ4gQi50AL2iSEJ+Pdb94mrA24BfYv0qi4iISGBFmrKPBz4J\n",
       "7OmXfw/8jLC58r5rhi8iItJA36V7auwmIiKDwDFKY7cij589VGNdCrxiTCG1TxL4/WPjUC94Y+HQ\n",
       "dWuWQ9esWY5Yr1lCCRtMplY3rPXma23Ld6PKKPNwO5uyHfM698GC+BYJi4atSXgKmNIoxSuSkL8x\n",
       "Nz8J2A97zk1EpLMSpmDDm65BZTzzqbkpG5FsQo3XCYzsq7vUwvJYj80Xh9aev4+pbMmSOvvVP659\n",
       "2/JeTzKsgTMk/BLYnspocdWvL1N/QJTq5Vrz2WhqUHuwkZHzy5mGDcTVT2qNGLeMUT7nWMvbbwPe\n",
       "MMZj26Hv6gpEBkbCRGzM8Q2ADf1rflo/9zoBWAgsAp7302L/ugT78X8ZGz0r/5rN50fPShk+ilYz\n",
       "y2M9NnvNS+vMh96WuY+kKuaEmdh3kQ1bujz3unzE/tIJddO9Ionh9lS+7HHADsBngNe3JbSxUUIu\n",
       "nZWwKsPHuR5tqjVu9YRR1uVzi/VyfkVzhPn5Wmr9YLdz3adJuG3EXgnnYDf9U/yU5aIfBx7z06P+\n",
       "dWFuXTa/mESPu4rQIN0rUrT+PSr/tC8Dc4APtCUs6SZHrHVwY5EwGVgnN63tX6f5aY3cfK1pHPAC\n",
       "D7KCzXkWeLHBtJR87qQyvVhj3cu5+RV+qpfzKzJfa1t1wlfrn7/d6+7PzTsqf2vf8fsvyU0vKgc3\n",
       "gmOQ/j/bw6FrBhRLyF2ngxijBA1jOrgSpgPbAFsDm+amTYB1sb/tJ4CngCf99DRWRPssMBcbL6B6\n",
       "ehZ4LldH6NDf2Ngl3BU6BJHIOUZJhxsVT3/Jv9a6u0+xzt1DUdH6oEnYFOuQ6K3YEItrYF0F34WV\n",
       "Es3DEud5WLHtEhXJikgfGVPR+urUrhsr1Vkv0l4JawD7Ax8FXglc46ejgYdUPCsiEm+uVjny5jli\n",
       "KSJO2BA4FDgYG2nvbOBqEpYHiMYRy3XrHQ5ds2Y5dM2a5Risa9ZSY7fJWBetW/v5LDf+ibaEJpJJ\n",
       "WB84Avg4cC6wPQlzgsYkItLjiuRqLwbuBj4CfAM4wC8f0sG4RqMceT9JWAdrk/EpLAH/NgmPhQ1K\n",
       "RKSntJQj3wLrze1dWBHn+cCf2xba2CWo1Xq8EiYBu2E3iO8CLgK2Jem7LhdFRFrhaKHVeuYWYEfg\n",
       "BuCzWCcNNxO2r/ViOfKEccDuWC9RfyHh4TG9m/UlPMW/58v/mmq1irZ9i3YmMolKpyD5zkFGmy+y\n",
       "b2nYdCczeB2P5daN3Kf16RzflWOja3k68CZgCJgFXAqcRcKTDY8Lx6GbxWY5dM2a5dA1a5ZjsK5Z\n",
       "SznynwLTsZbCv8Z6ZjqmbaF1SsI0bNz0NbHOKk4m4QbgWBJub3DcBGAnYB+sF7vXYDcCL2EdbmQ9\n",
       "c40nYQWVzj1WYgn4qn7fpdTvPCQ//zKVLiSz19Hmq7uerN6ejpie53ng3ty6lTX3a226u+51rTgP\n",
       "OAl4gIQXCuwvIiINFMmRT8ASm14yeo484TzgBazryJUkrIa1gj4cK1E4HvgbCSt8He2uwHuAt2PP\n",
       "Il8J3Ig9pzyf5F8d+mfnLzF8gIbxZAMA6LEoERFpr5b6Wp8LXIXVYf6R3niGvHFCnrAT8CvgVSTD\n",
       "RhTKuu78NNZf/MZY7nkcVoVwOXC56mlFRKTHtNTIewrwQawu82HgFCz3GlL9m4mEEgk3knDQqGdJ\n",
       "WJ2EtX3uut+50AFEyoUOIEIudAARcqEDiJALHUCX1U33itSRL8Fy4xcBawE/whoYjG9HZB2wAzZ+\n",
       "8Tmj7pl3hJpzAAAZ6ElEQVSwuOPRiIiI9AAHnAo8BPwCeF/QaBrnyE8k4bguxiIiItJpLeXI52CP\n",
       "CV0EHAY8356YOuY9fhIREel74wrs83rg3cAF9FYinlBdR5KwGVanP7v74fQ8FzqASLnQAUTIhQ4g\n",
       "Qi50ABFyoQPoEoeld3UVyZE/245IOiCpsW4P4I8avlJERPpE2U9fr7dDkRx5THYHrgsdRI8qhw4g\n",
       "UuXQAUSoHDqACJVDBxChcugAekW/JeQ7YM+Di4iIDIQiReuTsFbqQ7n9U+DYDsU0NgmrAzOBf4QO\n",
       "pUc5dAc7Fg5dt2Y5dM2a5dA1a5ZD1wwolpBfDiwCbsX6Bu9V2wF3krA8dCAiIiLdUiQh3wjYq9OB\n",
       "tMG20GAwFCmHDiBS5dABRKgcOoAIlUMHEKFy6AB6RZE68r8Ar+t0IG2wNSpWFxGRAVMkId8VK1a/\n",
       "D3s+ezZwZyeDGiMl5I250AFEyoUOIEIudAARcqEDiJALHUCvKFK0vo9/zZ7N7tUBRrai2HjYIiIi\n",
       "faNoorwtljNPgRuAOzoWUTHDh3NLWBcrMZiuzmBERKQP1R3GtEjR+qHAucC6wPp+/pC2hdYeWwD3\n",
       "KxEXEREZaTbWf3mmF/oyT8n3tZ6wPwkXBYwnBi50AJFyoQOIkAsdQIRc6AAi5EIH0CUOS+9aGv0M\n",
       "YGWd+ZCS3Pxm2BCrIiIi/aTMKH2tF0nIzwRuBi7ByuffDZzRemxttRnw19BB9Lhy6AAiVQ4dQITK\n",
       "oQOIUDl0ABEqhw6gVxRJyL8PXA/sgmXtD6T3Ol4ZAn4ROggREZFua9TYbZp/nY4VW58LnAc87Nf1\n",
       "ks2AOaGD6HEudACRcqEDiJALHUCEXOgAIuRCB9ArGuXILwDeDtxG7Ur2zToSUbMSxgEbA3NDhyIi\n",
       "IiLFVG4sEtYj4YmAsYiIiHRa3VbrRZ4jv7bgulA2BuaHDkJERCSERgn5ZGBtrCOY6blpCBsRrVds\n",
       "hBLyIlzoACLlQgcQIRc6gAi50AFEyIUOoFc0qiP/NNar2wxs0JTMYuCUTgbVpI2BR0IHISIi0qu+\n",
       "EDqAGvJ15N8k4WsBYxEREem0lurIU2Ct3PJawGdbjaiNlCMXEZGBVSQhPxh4Jrf8DPCpzoQzJhsC\n",
       "j4YOIgIudACRcqEDiJALHUCEXOgAIuRCB9AriiTk46r2Gw9M7Ew4Y7Iu6PEzEREZTEW6aP09cCFw\n",
       "GtbX+qeBqzoZVJOUkBdTDh1ApMqhA4hQOXQAESqHDiBC5dAB9Iqag5RXGY8Vpb/FL18D/AxY0amg\n",
       "CrAB1hNKwIvAdBJeCBiPiIhIJ1m6F4kp2Ehmb2+wj7XeS1idhCXdCKoPuNABRMqFDiBCLnQAEXKh\n",
       "A4iQCx1Al7U0Hvku2DioQ7n9U+AVLYdV21eAiwruq2J1EREZaEUS8tOBL2KDp3S6OP1twD+ASQX3\n",
       "V0JeXDl0AJEqhw4gQuXQAUSoHDqACJVDB9ArirRaXwRcCSwEnsxNRZ3hj51dtX5v4B7gfuBwv253\n",
       "4E3A/thjb6PVByghFxERGcXxwAnAzsAbclNRuwLbMTwhHw88gBXXTwRmAVvltn8c+L8NzpnVkR9E\n",
       "wtlNxDLIXOgAIuVCBxAhFzqACLnQAUTIhQ6gy1qqI3+TP8EOVevfXPDNb8AS7LwdsYR8jl++EHgX\n",
       "cLdfLpI4n8WFzGAiU7Gi/1lUilqcf9VyZXnbHotHy/27vG2PxRPDsv4/m19mlO2xL2fzQ/SIIYbn\n",
       "yPcDfppbPgA4uYnzZTny/yLhqFaDExER6XEt5ci/TuX5tfyJju1EQE1aE/WzLiIiA6xIY7clfnoe\n",
       "WInVXQ+1+L7zgU1yy5vQfIKc8He2xBrjyehc6AAi5UIHECEXOoAIudABRMiFDqBLHJC0+6SrAtc3\n",
       "ecwQw4vWJwAP+vWrMLKx22iyovUrSRo2ipMKFzqASLnQAUTIhQ4gQi50ABFyoQPosnaVZAMwHWuo\n",
       "VtQFwAJgGTAPOMiv3we415/ryCZjyBLym0jYucljRUREYtNSHXk+Jz0OWI/m6sc/XGf9lX5qxZqo\n",
       "aF1ERKSmzfzrTKwIfAjYmN4YwjQFEj7KUyRsGDqYSLjQAUTKhQ4gQi50ABFyoQOIkAsdQJc4rI68\n",
       "bo68UWO3i/3rGdjz3nOwBmnL2xFZGyRszhSUIxcRkf5VZpTGbo26QJ0F/BL4DPD9qn1Tvy6UlITJ\n",
       "wCKSwv2yi4iIxKruMKaNcuQfwgZJGQ+sDkzNTau3OcCxUP24iIhIAb34eFfKWpzCR5gbOpCIuNAB\n",
       "RMqFDiBCLnQAEXKhA4iQCx1AlzhaqCPP/K5NwbTXoZzLK1kQOgwREZEOKjNKHXmRhLxXTQOeCx1E\n",
       "RMqhA4hUOXQAESqHDiBC5dABRKgcOoBeEXNCPgXrNlZERGRgFUnIpwDHUBmt7JXAvh2LqLipWB/w\n",
       "UowLHUCkXOgAIuRCBxAhFzqACLnQAfSKIgn5mcBLwL/55QXAtzoWUVHn8UHuYFroMERERDrI0YZB\n",
       "U271r7fn1t3R6klblJJwGAknBI5DRESkG1pqtb4MmJxb3tyvC20qqiMXEZEBVyQhT4CrsH7Wzwf+\n",
       "CBzewZiKUmO35rjQAUTKhQ4gQi50ABFyoQOIkAsdQK8oMvrZ1cBtwJv88qHAEx2LqDg1dhMRESng\n",
       "CmB/LAfcK1K240726IFGdyIiIp3jGKVnt6InORV4GBsRbT8IPlBJSsJlJLw7cBwiIiLd0FJjtzI2\n",
       "AtrmwGnAB4DH2xJWa1RH3hwXOoBIudABRMiFDiBCLnQAEXKhA+gVRerIwVqtvxNLxN8AnN2xiIpT\n",
       "q3UREZECfoEVq58GvBkb1jS0lITZJGwTOhAREZEuqFu0XiRHfjrwYWxs8l6iHLmIiAy8RnXkb/Gv\n",
       "U4F3Ae/10/v8a2hKyJvjQgcQKRc6gAi50AFEyIUOIEIudAC9olGOfDfgWuAd1M7SX9KRiIr6I2ty\n",
       "G9thz7mLiIj0I0cbblpeUXBdN6UkrCChFDgOERGRbmjpOfLbaqy7tca6bkpJ1KubiIgMjDE9R74V\n",
       "Vh++JsPrxg8kfIcw0BsDt8TEhQ4gUi50ABFyoQOIkAsdQIRc6AB6RaM68i2x+vE1/GtmMXBwJ4Mq\n",
       "aGnoAERERGKwc+gAakhJ+GfoIERERLqkpS5aP4MVr2fWAs5oNaI2UNG6iIgMvCIJ+euARbnlZ7Bu\n",
       "WkNT0XpzXOgAIuVCBxAhFzqACLnQAUTIhQ6gVxRJyEvA9NzydHqjm1blyEVERAr4GHAvcBzwTT//\n",
       "saARQcqOzEF3ZCIi0t8cbRiPHOA1wOf9tHWrJ2uDlISrQgchIiLSJS01dgMrTl8CnAI8AWzWhqBa\n",
       "paL15rjQAUTKhQ4gQi50ABFyoQOIkAsdQK8okpAnwFeAI/3yKsC5nQqoCWrsJiIiUsAdWIJ/e27d\n",
       "nYFiyaQknBM4BhERkW5pqWh9GbAytzyl5XDaQzlyEREZeEUS8l8Cp2GdwnwKG9r0Z50MqiAl5M1x\n",
       "oQOIlAsdQIRc6AAi5EIHECEXOoBe0aiv9cwJwJ5YH+tbAscA13QyqILU2E1ERCRSKQnHhQ5CRESk\n",
       "S8ZUR36jf30ey43np+eAOcDn2hPfmKhoXUREpAVrY728hZCS8OVA7x0rFzqASLnQAUTIhQ4gQi50\n",
       "ABFyoQPosro58iJ15GCDpOyKtV6/EbgNeAp4c8uhjZ1y5CIiIgV8DZgNfAM4Fnuu/JigEUHKFvya\n",
       "wbsjExGRweJoQ1/r9wGTcsuT/bqQUhI+GjgGERGRbmmpQ5j5WOKdmQQ80mpEbaCi9ea40AFEyoUO\n",
       "IEIudAARcqEDiJALHUCvaFRHfrJ/fRa4C7jaL78NuKWTQRWk58hFRGTgNUrIb8Wy8rcCl/n5ElCm\n",
       "DeOitoFy5M0phw4gUuXQAUSoHDqACJVDBxChcugAekWjhPws/zoZ2AJLvB+gdxJQ5chFRGTgNaoj\n",
       "nwh8F5gHnA2cg9WNn+C3haaEvDkudACRcqEDiJALHUCEXOgAIuRCB9ArGiXkJwDTgc2w58jfALwC\n",
       "GzzlxM6HNqqXQgcgIiLSyx6gdkI/3m8LKSVhm8AxiIiIdMuYHj9byfBxyDMr6qzvtpdDByAiIhJa\n",
       "o4T8buDjNdZ/FLinM+E0ZXnoACLjQgcQKRc6gAi50AFEyIUOIEIudAC9olGr9c8BlwCfwB5BA9ge\n",
       "WA14T4fjKkIJuYiIyChKwFuAQ4Av+PlekJIwI3QQIiIiXTLm0c9S4Fo/9RrlyEVEZOAV6Wu9Vykh\n",
       "b44LHUCkXOgAIuRCBxAhFzqACLnQAfSKXkvIXw2cCvwC+OQo+6rVuoiISI8ahyXm9aQkrNqtYERE\n",
       "RAJraRjTbnsH8FvgwlH2U9G6iIhIF5wBLARmV63fG3se/X7g8BrHXd7gnL0w+lpsXOgAIuVCBxAh\n",
       "FzqACLnQAUTIhQ6gy8bcar0dzsTGNj8nt248cArwVmA+8Ffg18B6wHuBScB1XYhNREREChhieI58\n",
       "Z+Cq3PIRfipKOXIRERkkQXPktWyEDY+aeQTYqclznAXM8fOLgFlUBpp3/lXLWtaylrWs5RiXs/kh\n",
       "esQQw3Pk7wN+mls+ACt+L0o58ua50AFEyoUOIEIudAARcqEDiJALHUCX9Vyr9fnAJrnlTbBcuYiI\n",
       "iPSgIYbnyCcAD/r1q2DF4ls1cb4USBi8OzIRERksDkvvgpZEXwAsAJZh9eIH+fX7APcCDwBHNnlO\n",
       "Fa2LiMgg6bt0r+8+UBe40AFEyoUOIEIudAARcqEDiJALHUCX9VwduYiIiAww1ZGLiMggcPRAHXkn\n",
       "9N0HEhERaUBF66LSizFyoQOIkAsdQIRc6AAi5EIH0CuUkIuIiEjXqY5cREQGgUN15CIiItFTHbmo\n",
       "9GKMXOgAIuRCBxAhFzqACLnQAfQKJeQiIiLSdSpaFxGRQdKXResJKloREZH+5rD0ru8oR948FzqA\n",
       "SLnQAUTIhQ4gQi50ABFyoQPosr7MkYuIiEiklCMXEZFBohy5iIhIP4o5IU8YvDqSVrjQAUTKhQ4g\n",
       "Qi50ABFyoQOIkAsdQJc41NhNPBc6gEi50AFEyIUOIEIudAARcqED6LK+S/f67gOJiIg0oDpyERGR\n",
       "fqSEfHC40AFEyoUOIEIudAARcqEDiJALHUCvUEIuIiIiXac6chERGSR9WUeeoKIVERHpbw49fiae\n",
       "Cx1ApFzoACLkQgcQIRc6gAi50AF0WV/myEVERCRSypGLiMggUY5cRESkHykhHxwudACRcqEDiJAL\n",
       "HUCEXOgAIuRCB9ArlJCLiIhI16mOXEREBonqyEVERPpRzAl5gupImuFCBxApFzqACLnQAUTIhQ4g\n",
       "Qi50AF3iUIcw4rnQAUTKhQ4gQi50ABFyoQOIkAsdQJf1XbrXdx9IRESkAdWRi4iI9CMl5IPDhQ4g\n",
       "Ui50ABFyoQOIkAsdQIRc6AB6hRJyERER6TrVkYuIyCBRHbmIiEg/UkI+OFzoACLlQgcQIRc6gAi5\n",
       "0AFEyIUOoFcoIRcREZGuUx25iIgMEtWRi4iI9KOYE/IE1ZE0w4UOIFIudAARcqEDiJALHUCEXOgA\n",
       "usShvtbFc6EDiJQLHUCEXOgAIuRCBxAhFzqALuu7dK/vPpCIiEgDqiMXERHpR0rIB4cLHUCkXOgA\n",
       "IuRCBxAhFzqACLnQAfQKJeQiIiLSdaojFxGRQaI6chERkX6khHxwuNABRMqFDiBCLnQAEXKhA4iQ\n",
       "Cx1Ar1BCLiIiIl2nOnIRERkkqiMXERHpR0rIB4cLHUCkXOgAIuRCBxAhFzqACLnQAfQKJeQiIiLS\n",
       "daojFxGRQVI33ZvQzSgKehfwdmAacDpwTdhwREREZCzWBH5WZ5ty5M1zoQOIlAsdQIRc6AAi5EIH\n",
       "ECEXOoAui7LV+tHAKaGD6CPbhg4gUrpuzdM1a56uWfN0zbxuJeRnAAuB2VXr9wbuAe4HDvfrSsB3\n",
       "gCuBWV2KbxCsGTqASOm6NU/XrHm6Zs3TNfO6lZCfiSXaeeOxHPfewNbAh4GtgM8DbwH2Az7dpfhE\n",
       "RESi1K3GbjcAQ1XrdgQeAOb45Quxhm7HAyd3Ka5BMhQ6gEgNhQ4gQkOhA4jQUOgAIjQUOoBeEbLV\n",
       "+kbAvNzyI8BOBY99EDV4G4uPhw4gUrpuzdM1a56uWfMG6ZrdUW9DyIS8lYR4i7ZFISIiErGQrdbn\n",
       "A5vkljfBcuUiIiLSg4YY3mp9AlZEPgSsgrVQ36rrUYmIiMioLgAWAMuwevGD/Pp9gHuxRm9HFjhP\n",
       "rcfVxEozrgPuAv4OHOLXT8d6xrsPuJrhj2sciV3He4A9uxZpbxoP3A5c4Zd13RpbE7gYuBv4B9a2\n",
       "RdessSOx/8/ZwPnAquia1VLrUeWxXKft/TnuB07qYLzSpPFYgj8ETEQ5+LwNqHSOMBW7OdoK+C7w\n",
       "Fb/+cOyJALDH/WZh13EIu6693DlQp/0ncB7wa7+s69bY2cAn/PwEYA10zRoZAv6JJd4AF2GNtHTN\n",
       "RtoV2I7hCXkz16nkt92CPRkF8DtGPv4sgewMXJVbPsJPMtJlwFuxu9T1/boN/DLYXWy+ROMq4E1d\n",
       "i663bAz8AXgzlRy5rlt9a2CJUjVds/qmYzfXa2E3PlcAb0PXrJ4hhifkzV6nDbHSosyHgP/pRKC9\n",
       "Iqa7vFqPq20UKJZeNoTd0d6M/fEv9OsXUvlnmMHwhoWDfC1/ABwGrMyt03WrbzPgCayTp9uAnwJT\n",
       "0DVr5Gnge8BcrIpxEVZUrGtWTLPXqXr9fPr8+sWUkOu58dFNBX4FHAosrtqW0vgaDuL13Rd4HKsf\n",
       "L9XZR9dtuAnAG4Af+9cljCwZ0zUbbnPgi9hN9gzs//SAqn10zYoZ7ToNpJgScj2u1thELBH/OVa0\n",
       "Dnb3uoGf3xBLtGDktdzYrxs0/wa8E3gIa5C5B3b9dN3qe8RPf/XLF2MJ+mPomtWzA/AX4CngZeAS\n",
       "rKpQ16yYZv4fH/HrN65aP8jXr6focbX6SsA5WDFx3nep1CEdwchGIqtgRaUPUj9HOih2p1JHruvW\n",
       "2J+ALf18gl0vXbP6Xo89TTIZ++xnA59D16yeIUY2dmv2Ot2MPU1RQo3dek6zj6sNil2wOt5ZWDHx\n",
       "7dgf7nSsIVetxzaOwq7jPcBe3Qy2R+1OpdW6rltjr8dy5Hdgucs10DUbzVeoPH52NlaCpms2Uvao\n",
       "8ktUHlUey3XKHj97APhRx6MWERERERERERERERERERERERERERERERERERERkV71vH+dCXy4zec+\n",
       "qmr5xjafv90OBE5u8zlPxJ7VB+ufvdudOZWxZ4s77Z3AMV14HxERqZL1Te+o9PBW1ISC547Fx2kt\n",
       "Ia/u+nl1bFjJbikxsie067CuZLvx3tnQmiJdEVNf6yLdcDw2JvLt2OAz44ATsIToDuBTfj8H3ABc\n",
       "jnW/CdbH/d/88sG580325/u5X5fl/kv+3LOBO4EP5M5dBn6JDcd4bp1Yy/78N2M9Hu7i1x/I8IT4\n",
       "N8Buuff+ro/xGmzYx+ux7i3fkTtmEyzxuw/4Wm79Af79bseGhsx+Q57Hct2zGDnk5ruwnrnycWeJ\n",
       "6vPAN/1xNwHr+fVnASdhpRcPAu/LHX8Yle8j8euG/DU4G7ue+b62q30Yu96zqXT32Wj988D3sWv2\n",
       "B2Adv/4QrLe2O7AeycAG9LgJ2LPB+4uISAdkueZ8n+tgCfdX/fyqWNekQ1hi+zxWFJ9Zy79OxhKD\n",
       "bLk6R54tvw/rcrKEJWAPY4NDOGyoyxl+21+A/1Mj5uuwGwGw7ouv8fMHMjwhv4JKQr6SSleWl/j3\n",
       "Hw+8Dkucs+MX+Pgn+c+yPVYc/mu/P9gIaB/NnXe/GjECnAq8tyruLCFfCbzdz3+HyrU+C7jIz28F\n",
       "3O/n9wRO8/Pj/GfbFftOVgA71okhe88Z2HVe23+Oa7EbjXrrsxiz6pZjqFzb+VRy3tNy73WQ/ywi\n",
       "XTFakaDIoKkukt0T2IZKIjUN2AIbxeoW7Mc/cyjwbj+/CfBKGhcp7wKcj+XiHsdyxm8EnvPHLfD7\n",
       "zcISqlp165f419v8PqN5Cfi9n58NLMUSwL9XHX818EzuPXbx+22PlTqA3bA85udXYKPv1TITeLRB\n",
       "PL/187cCb/PzKZVR/O6mMgb1nn7KbjqmYN/HPOy7aHS9S9j1LWMjkQGch93kpHXWX44l5NlNxblU\n",
       "rvmd2Pd3WS5WsO9Ng3RI1yghFxnd56nkdjMOG4s7v/wWrFh5KZYDnDTKeVNG3jhkYy0vy61bQf3/\n",
       "1WU19nmZ4dVm+TiW5+ZXYglpNl/vPUq5uM5mZOM9sM/caJzoetV41fHkY3gpN5+/Tt8GflJ1niGG\n",
       "fx/1VMdYb1Sx/Geut/7tWGL/Dqwk4bXYZxhX51iRjlAduchwi7HGWZnfA5+lksBsCaxW47hpWA52\n",
       "KfBqhtcTL6d2InkD8EHs/3BdLFG4hdaHrJwDbOvPswn1i5sbeRtWtD4ZK2L+M1bcvJ+PFWxUqk0L\n",
       "nCurMmiH3wOfwHLiABvl4hlNil3f3akUoX8Iy4nXWn+9P24c8H4/vz/2vZWwz17GhtZcA5jq99mQ\n",
       "4SU1Ih2lHLmIyXJQd2C521nAmdgQiENY0XUJKwJ/j98/n+u6Cvh34B9Yo6ubctt+ghXD3orVKWfH\n",
       "XQrs7N8zxRpxPY7VCVfn6Irk8LJ9/gw85GO5279vvfOkNeazBO9XWKOxn2OfH+BorNh9HHaD8llg\n",
       "7ijx/RnYgdpF79XvXyue/Pw12PXJru9irAFe9bH1PIYlvNdh3+dvqLSJqLd+CXYzdDSwELv5moBd\n",
       "lzX8/idhVSL4fZt98kFERKRnTcUaCcaqmccHx2E3gcokSdeoaF1EOu15LKf75tCBjFEz9d37Ahdj\n",
       "7RREREREREREREREREREREREREREREREREREREREQvn/wmS5R/ws/CkAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa757cbc710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Inner loop: 1156 iterations\n",
      "g(Z) = ||X-DZ||_2^2 = 7.385632e+04\n",
      "rdiff: 0.00152335996007\n",
      "i(Z) = ||Z||_1 = 5.628807e+04\n",
      "j(Z) = tr(Z^TLZ) = 8.606136e+03\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfkAAAFRCAYAAAB3+dRnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm8HFWZ//FPZw8JkLBKSMhFMQiKiGwyIhxBNnfFEUGU\n",
       "KALjOKPzk1Hcc8VRmcFZRNxAAZcRWcQFjQsDXMQNUPZFEGXfhQAJAQLk/P54TtvVfbv7dvft06eq\n",
       "+vt+vYrbVV1d9VRX6KfOUqdARERERERERERERERERERERERERERERERERERERORvRoFvtXn/WmCP\n",
       "CPuNtV0RKaEpqQMQyamlwDXAY8A9wJeA9TPv+wk+/wLgl5OM4TTgUxG2KyJDQkleZLyjgePC3/WA\n",
       "lwCLgfOA6WGdSprQJGNa6gBERKRY1gNWAm9qWD4HuB94R5hfBpwFfBd4FPgD8MLM+rcCe4fXFeBD\n",
       "wM3AX4EzgPmZdXcHfgOsAG4HDgOOANYAT4Z4fpjZ7l7AAmB1w3Z2AB4Apob5dwLXAw8BPwO2yKz7\n",
       "38B9wCPA1cDzm34bsAFwKnBX2M73M+8dAfwJeDDEt1nmvbXAUcBN4bhODMtnAg837G/jcCwbhflX\n",
       "A1eGz/0a2C6z7q3AB0PMj4djfTtwG/bdfozOv/uREGf18w8AH8nsa0qYvxk7x78HFob3nodd9D0I\n",
       "/BH4e0REJPf2B56ieS3XacB3wutRLAm/EUs0RwN/oZZgb8GSMcD7sCS+AKsJ+EpmO4uxBHJQ+OwG\n",
       "wPbhvVOBYxtiyG73fOBdmfeOx5oVAF6HJeCtw7F8FEuYAPthCWu9ML818KwmxwvwE+B0rKliGvCy\n",
       "sHwvLCm+CJgBnABclPncWuBHYR+LsAuk/cJ7Xwf+LbPue4Dl4fUO2MXHzliCfns45moNyq3A5cDm\n",
       "2AXDtthF0N+FdY7Hzksn3/1IiPOrYVsvBJ4I3wfAB7CLieeG+e2w8zMHuAO7GJsSvoMHgG3GfXsi\n",
       "IpIrh2Jt8M0cB/wivB7FkkdVBbgbeGmYzybj6zOvwUq8a7Ck/mHgey32dyrj2+Sz2z0cS/TV/d+O\n",
       "1QoA/BQryVdNwfoXbAG8HLgR2JX2TXabAc9Q3xeh6uvY91E1JxxTtbZgLZZ4q84Ajgmv98ZKx1W/\n",
       "xr53gC8z/sLmj9QuLm7B+ktUfQL438z8bKz2Y6Lvfgq1JL8g8/4lwJvD6xuB1zDeQYzvF/HVEItI\n",
       "rqhNXqTeX7Fq42b/b2yGldiq7sy89mF+AeONYNXcK8J0PfA0sClW/fuXHmM9B9gNK4XvgSWsX4X3\n",
       "FgOfz+zzwbB8AXAhVn3+RazU/FVg3SbbX4RV0T/S5L3NsCruqsfCPjbPLLs383o1MDe8HgPWAXbB\n",
       "vpvtqTUDLMZqRVZkpoXUf693NMSRPQ+PUztWaP/dTxTnQuDPjLcYu0DKxnhIwzZFckFJXqTeb7GS\n",
       "4IENy+diVfnnZ5YtyryegiWFu5ts8/bw2fmZaZ2w7h3Ac1rEMlEP/hVYzcJBWJI5vWGfRzbscw7w\n",
       "u/D+F4CdsOruJVjVdKM7sOrpZiX5u7EEWjUH2BBru5/IM8CZwMFhOhe7SKjG/emGuOdiNQFV2e/l\n",
       "Hmrt5GAl+Q0z862++1a1NVl3AFs1WX471jSR3ea6WLODiIjk3Aew0t1+WDvuCNZm/HtqbcOjWLXv\n",
       "G7C26vfTuk3+X7DSc7Uqe2PgteH1IqxN/u/Ddjak1ib/Weqrohu3C1a1fDlWA5HtoPZ67BbAbcP8\n",
       "+tQ6h+2ElUSnY8n5p1hHwmZ+HGKYF9av3qO/N9bOvj3Wnv156quw1wLPzsyfRn3Twy5Yor2G+irx\n",
       "HbEkugvWBDEHeBW10nXj8W+LfX+7YX0D/p36Nvl23/1IiDNb2LmQWjPHvwJXYYm+grXZbxBiuRVr\n",
       "Ypgepp2xzngi0kYFu4o/AetwI5LKO7EEtBpL+F+mvkS7DCuNZnvXvyjzfjYZVYD/h7UtP4q1R2c7\n",
       "nu2OlbAfwRLc28LyrYArsBL7OU22CzArbPOaJsdwKNZxrLrdr4Xle2HJayXW/PAtrHTbzHwsQd+L\n",
       "Vd2fnXnvqHAsD2Kd7LJV6s9Qn+SbdSL8E3Zx0ngr3H7Apdhx342V4ueE9xqPH6wDXLZ3/Z3U+ka0\n",
       "++5HQpytkny1w+JfwmcvyRzjEuwC6P6w3/+j/u4KEWniDdgPyucY/z+ySJHcRq0TnAzOXOzuiMWp\n",
       "AxGR8Y7B7r0FuwdZpIg2wWoAFk60ovTFa7CaiDnYLXJ/SBuOSH4MouPdKVgP3sbqxP2xKrQ/Ubu1\n",
       "5k5soAywtjKRotkZu/XqBOp7fUs8r8U6/N2FdWJ8S9pwRIbLy7ABLrJJfirWNjaCdVq5EhtIYjbW\n",
       "bngC8O6BRikiIiI9GaE+ye+GDbNZ9aEwiYiISJ+kesDD5tQPaHEndktPp+6i+aAjIiIiZfRnmo/b\n",
       "kAsj1JfkDwROzswfig3O0amJBgkputHUAUQ2mjqAiEZTBxDZaOoAIhtNHUBko6kDiGw0dQAR9ZT3\n",
       "Uo14dxf1o4UtQp2UskZSBxDZSOoAIhpJHUBkI6kDiGwkdQCRjaQOILKR1AHkTaok/3vsyU4j2ChV\n",
       "B2GDaYiIiEiBnI6NWvUk1g5ffR73AditRjdjT+LqhseqZVxfIswflzqAyFzqACJyqQOIzKUOIDKX\n",
       "OoDIXOoAInOpA4jAYfmu7M3UdYbqYEVEZOgVqk1e2nOpA4jMpQ4gIpc6gMhc6gAiexT7MdWkKdX0\n",
       "EH2U6hY6EZE8Whd7qE1ZOWAscQwxOYp/fD51AHmgL0FEYtBvi6TW6t9gT/82i1xdP0r5qw5FRGS4\n",
       "Ocp9/39TZb/adqkDiMylDiAilzqAyFzqACLTb0uxudQB9IFK8iIiMs5M4Dpg0w7X/yfguEixjAF7\n",
       "tplPYSlwapv5UlKSz6ex1AFENpY6gIjGUgcQ2VjqAKSlI4GLsEd7bwGsbDL9H3B+WP9k4K3AxhFi\n",
       "qfYUbza/A/AI9ljgqh2BFSHuRiPYo8erx3AvcC7wisw6bw3vnUv98a4FPtYmxk58DrgJu/PiBuBt\n",
       "LdbbF1gD/BqY1fDeEuCHwP3Ag9gD2pZ0uP+hVPYqNRFJo8i/LddiT/hs5YVYotors+wk4OgIsVwI\n",
       "7NFm/tPABeH1dOAqrGahmREsWVcLpZsA78WS+GFtYngXNhBbtWZjKfUl98PorCQ/Si0h74Ld4tb4\n",
       "Pe8C/BV7LssPsBFcp2be3xkbCG4edlfbsdgFQzN9ra4vKk+5O9651AFE5lIHEJFLHUBkLnUAkeX5\n",
       "h/TFwBVYoj4TOAP4VHhvC2A1rWtn18NKoyc3LD+EWrLtp4mS/AwsyR0JLAMubrOtEeqTfNXRWKk+\n",
       "y4W/O2AXAdl9Nib1TpN8ox8C78/Mbw3cRq1mYSrwXeCUNtvYADum+U3ea/w36JjEiHdFrq4fRVWH\n",
       "IjIw/iTwY+CXg5834G3MAL6PJY752HDhr6f2w78d8BcscTRzKjaM+P82LP8jsH2b/V6NVaM3m07s\n",
       "Iv5Ga4DDgf/AEubhPWzj+1ipfuuG5fOAs7HS8i8nEWMzs7FS+bWZZbsBb8GaQgCewS6erqJ1lfwe\n",
       "wD3Y9ziRMdS7XkSkL9r8tvgx8L6P0xldxLUH45/UeTGWyMDapH/b4rNHYxcAzS4qngs83UUcnZqo\n",
       "JA+wPvAA7Uvx0LokPyssz1adV7Cq8u832U4/SvLfAJZ3+ZlGC7FzeVCL99W7XkQkgdXh72XAfKhU\n",
       "up/4aWYbR3Wx7wXYI7qz7si8XoGN1tdod6wU+Cbg4Sbvr4t1gkvhP7GOgouoT3irsKr2R7GE2Mrm\n",
       "4W92GNhjgG1o31bfq+OBbYE3T2IbGwO/AL6INbdIC2UvybvUAUTmUgcQkUsdQGQudQCRtSvJz7PS\n",
       "d69V9ZPaxp6ML8n/ilpJfiHwGPUFt03DZ47ILHMN23grtd72zVxH8176K4EvtfncRCX5V2B3AWyA\n",
       "PZH0Xpq3T0Prkvy/YlXeVQ77Dlo1P0ymJP9JrOmiVYydmI/1qfjMBOup4x3lP1iXOoDIXOoAInKp\n",
       "A4jMpQ4gsrz+tkzHOnf9E9Y7+3XY47uPzaxzFbWq66lYYv1mw3Zcw/xJWLLst3ZJfg7WfHBw5v1v\n",
       "Aae12NYIluSrvdU3xb6HR7Ee8wCbYRcK7e777zXJfxjrtNjp+APNrAdcCnyhg3WV5Cl/73oRSSPP\n",
       "P6Q7YiXBlVjv+u9Rfw/4P1IrXe+BJcZq1Xd2uiasMwur8o9xn3y7JP954McN62+Ilez3brKtEWr3\n",
       "ya8K6/0Yuy+96hPU30vfrMZhKb0l+bXA4w3b/FAHn8s6jPHno1VzRF971xfVUB2siAxMkX5bLqG+\n",
       "7XkG+RnxrpOOd4PWr1voYlPHuyHgUgcQmUsdQEQudQCRudQBDLE9gGdh1fWHAS/ARk6rWgM8Hyvp\n",
       "tuIyr0+k+xJpN1I8ste1ea8xnjI/Uvhv9Dx5EZFi2Bqrpp8D/BnrMd8uoaeWt1qRdkPtrqJ5vPtj\n",
       "w9TKgOXtH4+IlIN+WyQ1VdeLiIjIxJTk88mlDiAylzqAiFzqACJzqQOQSXGpA4jMpQ4gb5TkRURE\n",
       "JFd0n7yIxKA2eUlN98kzZAcrIgOj3xZJTR3vhoBLHUBkLnUAEbnUAUTmUgcwxK6lfkCZbbEH3XTq\n",
       "bOCDfY2opvERt60eedvKrcAWbeY75Xr4TKkpyYuIFMMLqH8++qewJ6OBPWim2ZCua6kNffvv9Pbc\n",
       "9slq9pCbJ7Hnrlc1llI7KbVOxy5cbsGOc89JRyq5oSo1EYmhKL8tmwEPYkPZtvIu4G7qh7m9CRsD\n",
       "v9+6KcnPAa4HlmWW3UJ9yb1xvpnpwHuBl2LHmXrY3H7RA2oYsoMVkYHJ82/LrcBe4fXbseeSt7ID\n",
       "VmJuTHwnYQ9z6bdukvx3qR+OF3pL8ll3oCTflIa1zScHjCWOISZHeY/PUd5jg/IfX2ujnAQsAVYD\n",
       "hzDKwwPeRvZHfjvgxhbrzcOqsY+lvnofbHz7Vs9b3wJ7XG0r78YS9GS8F3gJ8OJJbqcVx7D++2xB\n",
       "SV5EpDNLqLX7rmB00tv7KnBQj59dH6uub1TBniF/NbX2+qzHsYuAZm4H5vcYTydeAnwae5zsQxH3\n",
       "IxlK8vk0ljqAyMZSBxDRWOoAIhtLHUBCq8Pfy4B9eyzJLwcOCNs4ahKxrADWbbL8GGAbWre73wM9\n",
       "xD15GwFnYU+9uzTifsYibruQity7fhTdLiEig3MI9hS43hJ8/7YBVlJf0rDMAR/Bnk73aIvPbQNc\n",
       "2eK9LWjeQ786HdxjrFOA7wAXA1/scRvDzEEf6o0KJs+dY/rBpQ4gMpc6gIhc6gAic6kDiCzPvy23\n",
       "UOt4tynwV2q96zcD7gXeMcE2bgd2ihBbu453x2K96ee0+XyvHe9mArOwjnf7APt28Jm802A4IiJD\n",
       "7j7gAuD1Yf4IYBPgBMaXwL8U1tkZa5P//UAjhY8CW2IXIdm4HgUWTnLbN2LNKAuAnwM/pbdBdCRn\n",
       "8ny1LSLFVaTflm3orn37bGD/SLFMdsS7yd5CVya6T54hO1gRGRj9tvRGSb5/VF0/BFzqACJzqQOI\n",
       "yKUOIDKXOgCZFBdpu70MS9vJ9j5C806AP2nxOTfJ/ZaObqETEZHJmjrB/ES2bJh/dvj7mTDJkFGV\n",
       "mojEoN8WSU3V9SIiIjIxJfl8cqkDiMylDiAilzqAyFzqAGRSXOoAInOpA8gbJXkRERHJFY+GtRWR\n",
       "/lObvKTW+G/QYfluqP5tDtXBisjA5P235Vpqz03fFnvQTadiDobTqf2A7yeOoRspvjMNhkP5D9al\n",
       "DiAylzqAiFzqACJzqQOIrEi/Ld8D3hxev5Xm95OvBT4W1tmZ1s+gn4yl2MNnOvF7YJfwutk98Kuw\n",
       "mA9t+NwibHz6+4CtGt5bRf3xrs7MH4KVgr/VJJZOv7NBDwOsJE/5D9alDiAylzqAiFzqACJzqQOI\n",
       "rCi/LZthz5Of0WaddwF3Yw+zqbqD1o+h7dVSJk7yU7CEedME6/0bcA0wO7NsQ+CG8N4xwJ+BZ7X4\n",
       "/D3UHuJTtYzmSb6ZZt/ZTfT/O2tHSZ4hO1gRGZi8/7bcCuwNvB04r816O2Cl0j0alp8EfKKP8WyD\n",
       "PfTm6bC/h8Ly04AvA8uxkvbeYb8ntdnWK4FHgK0zy+YAv8MeclP1XuByYL0m28g+qa9qlM6S/KC+\n",
       "s4noPnkRkUHzcJKHMQ/LPcxLtI3qD/0LaF31Pg9rSz4W+GXDezcA27f43BbAijbTW5p85gbgH4Df\n",
       "AusCG2TeOxj4FDAX+NUEMY8A38RK0tl1dgY+D3w6s+wErFT/khbb6kWv31nuaVjbfHLAWOIYYnKU\n",
       "9/gc5T02KP/xtbME2DO8XtGHIv9XgYN6/Ow8rLq+UQVLllcDxzd5fwGtLy5uB+b3EEulyTIP/ABL\n",
       "/gBPhv2ubLLuTCzBfhs4q+G9sRb7PKfF8lntAm1hou9sFT1e1OWBSvIiIp1ZHf5eBsyvQKXbCXve\n",
       "eXUbR00ilhVYybnRMVgV+mEtPrcO8PAk9tuNOxrmV9C8iv3z2EXA0dEjam6i72xdBved9Z2SfD6N\n",
       "pQ4gsrHUAUQ0ljqAyMZSB5DQIcCZwL6V3n/0+7ENj5U6lzQsd1iP9TcBj7b47AzgyhbvbUHz3ubV\n",
       "6eA28XSiWcxvA96A3SXwTIfbaeeJJsvaxeeY+DvbhtbfmUSS984xIlJMef9tqXYs2wT4K7Xe9ZsB\n",
       "9wLvmODzNwI79Tmm/UJc0zPLTsPa47N2oL69/QXYxcMr+hhLq453/4s1C8wK00zSfmftqOPdEHCp\n",
       "A4jMpQ4gIpc6gMhc6gAEgPuBC4DXh/kjsMR/AuNL4F8K6+wc/vb7vu8LgOuwhHl/WOYZn5SuwHrP\n",
       "V++Tfz92q9z3m8T8oR5jadYm77FaiMexJpfVwM1YJ79OvrOVDP5e+aGX96vtyXKpA4jMpQ4gIpc6\n",
       "gMhc6gAiy/tvy23A7uH1NsClXXz2bOCDfY+oO/sQd8Q71+ftacS7RIbqYEVkYPL827IJVgpdmDoQ\n",
       "iUpJniE7WBEZmLz+tuyM9U4/LnUgEp2SPOU/WJc6gMhc6gAicqkDiMylDiAy/bYUm0sdQB+o452I\n",
       "iIiUV9mvtkUkDf22SGoqyQejlKNqRkREpBWH5buhUvarbZc6gMhc6gAicqkDiMylDiCyR6nd461J\n",
       "U4qp+iS/Rr7F8raKXJIXEem312JjzJd1enkOYtDxtZ+yT/IbWj1d0YiIiBSUSvIiIiJSoySfTy51\n",
       "AJG51AFE5FIHEJlLHUBkLnUAkbnUAUTmUgeQN0ryIiIikitqkxcRkWGiNnkRERGpUZLPJ5c6gMhc\n",
       "6gAicqkDiMylDiAylzqAyFzqACJzqQPIGyV5ERERyRW1yYuIyDBRm7yIiIjUKMnnk0sdQGQudQAR\n",
       "udQBROZSBxCZSx1AZC51AJG51AHkTadJfgR4RXi9DrBelGhERERkoI4ELgP+HOaXAOenCwdQm7yI\n",
       "iAyXaHnvKmAmcEVm2TWxdtYhJXkRERkm0TrePRmmqmm97qy//IXgN0odRSQudQCRudQBRORSBxCZ\n",
       "Sx1AZC51AJG51AFE5lIHkDfTOljnIuCjWFv8PsA/AufGDKpDDrgP/F3ALWG6teH1XVB5JlF8IiIi\n",
       "SVU6WGcqcDiwb5j/OfA10pbmPfjLgFcC6wJbYp0Dt2x4vRFwB7XkX/1bfX0vVHJQKyEiItKWp7Oc\n",
       "XafrD+SEBz8fKg9PsNosYAtaXwSsC9xG65qAB3URICIiORAtyd/SYmfP7nZnfdTTwTbZzFxgMa0v\n",
       "AqZRn/yrf8PryiOTj6EpB4xF2nYeOMp7fI7yHhvo+IrOoeMrqp7yXidt8jtnXs8C3gRs2O2OOuSA\n",
       "TwHXAt/F+gNEVFkFXBemJvw8agm/+nev2mu/htYXAbdB5bFooYuIiEyg19Lw5cCL+xlIsAfwIeBe\n",
       "4NPU7s1v1KeS/GT4CtbmP0LzmoDFwKM0bwa4BbgdKk8iIiIysWjV9TtS62Q3BdgJeDewfbc76zAe\n",
       "D2wC/BdwaIv1cpDkJ+KnAM+i9UXAQuABWl8E3AmVpwcasoiI5FW0vDcGXBim84CTga27+PwpwH2M\n",
       "H0Bnf+CPwJ+AYxremwGc1WabJegM56eBXwx+T/BLwX8S/DfA/xJ+fh/4J8HfAv4C8KeA/zj4Q8Hv\n",
       "Dn7zcBFRVC51ABG51AFE5lIHEJlLHUBkLnUAkbnUAUTUU97rpE3e9bLhjFOBLwDfzCybCpyIjYd/\n",
       "FzZs7o+A5wH7AfPCZ0qs8jTWs/82xvc9cOB/g90ZMEKtBuCV1GoC5oO/ndY1AQ/ozgARkeHWruh/\n",
       "dPjbmCiqVer/1cV+RrABdLYL87sBy7DSPFg7PMBxHW6vANX1sfl1sHb/EcbfFTACzKb1+AC3QGXF\n",
       "QMMVEZHJ6Hvv+nVpXj1QabG8G5tjg9RU3Qns2uU2TsMSFsDDwJXUbp1w4W+J5yvV+RvC+9fXv/+c\n",
       "deDmO4ER+Pw+MG83OOxlwJZw/lbwfx72vhm4BU57Gh6+B/7lPOBWGFkItz2er+PVvOY1r/mhmq++\n",
       "HqEARqhvkz8Qa9uvOpTuqufLXg3t4m7eV8BvAH5H8AeC/1fwXwT/E/DXg18N/gEbVdCfCf4/wL8b\n",
       "/P7gnxcGGZoM14+jyCmXOoDIXOoAInOpA4jMpQ4gMpc6gIiitcnPxoa13Ta8ru7onb3sMLgLWJSZ\n",
       "X4SV5mUgKh54KEx/GP++r2B3OGSbAHYA3hBeLwL/EK2bA26HylMxj0BERCbWSf3+2ViV8FuBT2Kl\n",
       "7huA93axnxHq2+SnATcCewN3A5cCB4ftdkJt8kn5qcBmtB4pcDNsrINbGd8h8B+wi7pVwMETD00s\n",
       "IiJEvE/+SuBFwNXAC4HpwK/ovA39dGBPbJS8+4FPYD3uDwD+B+tp/3Xgs13E7bELjjHKO4Rhgfnp\n",
       "2DgAzS4CdgJmhhWfwWoTVmJJv/p3VZNlnfx9QncUiEjJuDAtI1KSvxTYBbgYe8zsvcAllGLs+txy\n",
       "lPbixS+HsQPAXQa8DlgLzMU6enbyt91702l9kdDLhcOqHgYkcpT23AE6vqJz6PiKKtrY9ScDGwAf\n",
       "w+5lnwt8vNsdiQSHwP3nAG/MVNXf159N++nAHDq7YNgMWMKEFxB+DR1dDFRfH7cAPrRxm3UfV22D\n",
       "iAxKJ1cF04C8Da9a9pK85IKvYJ1Nu6lpmKgGYgYd1yJ0WuOg4Y9FhkC0NvnbgZ8BZwAXkI/b15Tk\n",
       "paD8NCZuduj27xr6e+Gg2gaR/ImW5OcArwbegj157lws4V/c7c76qOwd7xzlPK4qR3mPzzHQY6ur\n",
       "bejXhUO1tqEx+T8bzlsP9lmNHeNjwFMdTmu6WLeD7VTW9uf7G8dR3n+boOMrIsckOt510ib/GJbU\n",
       "zwDmAydgX+LUbnfWZ6OJ9y+SAxUPrA7T/f3ZZtPahrnACTB9C+zZEs/F7oqZ3mSaDawXXs9osU4v\n",
       "U2Zbfi19u2DITqdtCksPmPx2uplUayJtjYVpWS8f7vSqwAEHYWPNX4Yl/O/1ssM+UXW9yMD55dit\n",
       "r5cB+6Yb48BXsEJGny4Ykm5nGnYraaQaj7rp1cBG4b3TgSe6/eYlmTdCZVciVdffit0rfwZWVb+q\n",
       "251EoCQvMnB+HvBV4CgNYtQvvoIl+oi1Hn+b3k5tpNEbsbulpBjeApVFRMp768fY6CSVvXrLpQ4g\n",
       "Mpc6gIhc6gAic6kDiMylDiAevxwu9OAvDRdsZeRSBxCHX06PeW9KB+s80suGB2CU0p5QEZG+OwTu\n",
       "v5CkTS3SAwfzrk4dxKCVvSQvIiKSFa0kLyIiIgXUSZKfhT2B7qNYF/5l2ENmJB6XOoDIXOoAInKp\n",
       "A4jMpQ4gMpc6gMhc6gAic6kDyJtO7pP/IfAw9txx3XIhIiJSItemDqAJtcmLiMgwidYm/xvsOfJ5\n",
       "M4qqZkREpNwckUd4vQEbLekm4Jowpe7OX/aSvEsdQGQudQARudQBROZSBxCZSx1AZC51AJG51AFE\n",
       "1FPe66RN/oCGHWikOREph1Eq2G/aFGAK/8EMPsg62LC5U9pME73fyTqDfv/13MxCtmIlcBZl7GP1\n",
       "e0bYiZelDiOC1/Zalu80Yb8IeBmW6C8Gruptd32jYW1FWhllCjATG9q0Os1s8brde43rvQrYEHga\n",
       "+L/wNy8JrNf3K9jvydoW0zNt3iva+4cCW2CuB85BiuJtjLKYSE+hex9wBPYPogJ8GzgZexqdyHCx\n",
       "kl+rBNlNwoz53lTgSexBJNW/ja/bvddsvVXYk+g2D9/EDtjvQF4SWK/ve0ZL3/xnRtkBS/L2gKFR\n",
       "NOpdUYyyI7C4l492kuTfBeyKPXIW4DjgdyjJx+Qo3zORsxzNjs8S6DTylTAbX0+n9pSv8YnxJmaw\n",
       "hAfpLJlW5x/Hho+eTBLOvn4mSuIaZXdu4dlsWeok4Sjv/3uHcB3n8HzeWNJzB+U9f4cAK3r5YCdJ\n",
       "Huyqt9lrkXqWqNcHFmKlvoUN087cwly2ZC02/sKMhmktnSe7Tt97rA/bqL5+aoIE6ijnjwzAIazm\n",
       "HCh1kigvO2fHcpbOXeFM4v+3Tur33w8spVZd/3rgNOC/e91pH6hNPgVL4BsxPnE3JnQP3AHcBdzZ\n",
       "MH0S2DFs8VzgcOoT6DMDOhoRkSLpKe91+oEdgd2pdby7otsd9ZnHksUY5S01DdYoU4Fn0TpxLwQW\n",
       "YKXixsR9J9mEPsqjbfazHLtjo8xVviIi/eLCtIw+J/n1gEeBDRrWrVZVPtTtzvqo7CV5Rz8vXkaZ\n",
       "iSXoVlXoC4FNgAdplbir86M8PslY5pW8XdBR7gtPh46vyBw6vqLqKe+1a5M/Hbtl5nKa34S/Zbc7\n",
       "kwhGmUPr5F1dNh+4h/rEfTs2mmF12T2MsmYA8apdUERkQIpaGi57Sb7a/j2P9sl7IfaUwGZt39mE\n",
       "fr/aukVECi1am/z5wN4dLBukYid5G6yksQNbs2T+DO3avm16aGju8xURGV59r66fDawDbEytXR6s\n",
       "rX7zpp8QGGUa9R3YmiXvBcBKxifvMeBOzmAzDuIHbTuwFZujvO1mjvIeG+j4is6h4xsq7ZL8Udho\n",
       "dwuwZ8mt7GYSAAAbRUlEQVRXrQROjBlUblkHts1p3Xltc6wD218ZX+q+MrNsog5srsQJXkREBqST\n",
       "ov8/A1+IHUiX+l9dP/q3ITvbtX/Po9aBrVU1+j2M8lRfYxMRkWHX9+r67IbnUxtSbz5wMPClbneW\n",
       "RK0DW7vkvRAburQxcV8H/Dwzfz+jGvFPRESKoZOrgquA7RuWXYk9mS4VGwxnChfxCa6nffv3Qmys\n",
       "8Xad1+4EVuSoA5uj3O1KjvIen6O8xwY6vqJz6PiKxjGJwXA6KclXH81YLcFOxR7SkdYoHwQ+jA3Y\n",
       "05i4L6C+/Vvt2yIiUkRjYVoWawefA87Ebpl7BXAW8J+xdtYhezzkKGcnjkNERGQQeqpp7qQkfwxw\n",
       "JPDuMH8e8LVedtZnl2GPwRUREZES8YwyL3UQEbnUAUTmUgcQkUsdQGQudQCRudQBROZSBxCZSx1A\n",
       "RNFK8rtjbQEjmfU98Oxedtg35Xy4iYiIyEDdiD0adFNsKNbqlFJeesGLiIgMQrS8d0msDU+CkryI\n",
       "iAyTnvLelA7WuRA4HtgNeHFmknhc6gAic6kDiMilDiAylzqAyFzqACJzqQOIzKUOIG86aZN/CXYF\n",
       "sVPD8pf3PxwREREZdqquFxGRYRKtd/0yagPjZ3dybC877KNRaiMBiYiIlJFjEs0QnbTJPxamVdjQ\n",
       "tq/EbqdLbZTyJniXOoDIXOoAInKpA4jMpQ4gMpc6gMhc6gAic6kDiGAMy3c96aQk/7mG+eOBX/S6\n",
       "QxEREcmvDYCbE8egNnkRERkm0drkr8m8ngJsQvr2eBEREZmELcPfxVgb/Aj2bPb0j5ktf0nepQ4g\n",
       "Mpc6gIhc6gAic6kDiMylDiAylzqAyFzqACLq+2A41ce4ngLcGqY7gad62ZGIiIgMVqXNe1diz45/\n",
       "N/BfDev6sCyV6i19IiIiw6CnvNeuJP8W4BlgKrAuMDczrdtDgCIiIpIzr0wdQBNqky82lzqAiFzq\n",
       "ACJzqQOIzKUOIDKXOoDIXOoAIor2gJrlvWxYREREpBdlL8mLiIhkRSvJi4iISAF1kuTnAB8HTg7z\n",
       "zwVeHS0igXK3K0G5j8+lDiAylzqAyFzqACJzqQOIzKUOIG86SfKnAmuAvwvzdwOfjhaRiIiIDMwf\n",
       "wt8rMsuuShFIhtrkRURkmERrk38SmJ2Zf05YJiIiIgW3L3AR8ADwHeA24OVJI7IrmlHK2/7iUgcQ\n",
       "mUsdQEQudQCRudQBROZSBxCZSx1AZC51ABE4LN9FrcHeCOts92pg45g76lDZq+td6gAic6kDiMil\n",
       "DiAylzqAyFzqACJzqQOIzKUOIKJoee9c4BCsl31elD3Ji4iIZEXLew74MlZNfzbwJmBWrJ11SEle\n",
       "RESGSfS8Nw3YBzgTeDT2ziZQ9iTvUgcQmUsdQEQudQCRudQBROZSBxCZSx1AZC51ABH1lPemdbje\n",
       "bOC1wJuBFwPf6GVnIiIiki9nYlX1X8V61U9NGw5Q/pK8iIhIVrS8tx/5SOxZSvIiIjJM+j4Yzt7h\n",
       "71zgdcAbw3Rg+CvxuNQBROZSBxCRSx1AZC51AJG51AFE5lIHEJlLHUDetGuT3wM4H3gNza8gzokS\n",
       "kYiIiAzMsztcNkiqrhcRkWESLe9d3mTZH5osGyQleRERGSZ9b5PfBmt/n0d9W/xS0g+GU3YudQCR\n",
       "udQBRORSBxCZSx1AZC51AJG51AFE5lIHkDft2uSXYO3x64e/VSuBI2IGJSIiIoOxW+oAmlB1vYiI\n",
       "DJNoee+bWJV91XzglFg765CSvIiIDJNoee/KDpcNUtmTvEsdQGQudQARudQBROZSBxCZSx1AZC51\n",
       "AJG51AFE1PeOd1UVYIPM/AbkbwQ8ERER6cHbgRuBTwH/Fl6/PWlE5S/Ji4iIZPWU9yodrvd87OE0\n",
       "ABcA1/eysz7ydB67iIhI0fWU9zqprgeron8MOBF4ANiy2x1JV1zqACJzqQOIyKUOIDKXOoDIXOoA\n",
       "InOpA4jMpQ4gbzpJ8qPAB4EPh/kZwLdjBSQiIiKDcxV2MXBFZtnVEfc3B7gMeFWbddQmLyIiwyRa\n",
       "7/ongbWZ+Tm97KgLHwTOiLwPERGR0uskyZ8FfBUbEOdI7PGzX4sUzz5Yp74HIm2/KFzqACJzqQOI\n",
       "yKUOIDKXOoDIXOoAInOpA4jMpQ4gb9qNXV91PLAvNmb9EuDjwHld7OMUrOr9fmC7zPL9gf/B7rn/\n",
       "GvDvwJ5YTcG2wOPAclQ1LyIiklsvA3YArsksmwrcDIwA07ER9LbJvH8Y8Mo221TiFxGRYdL3vPfr\n",
       "8HcVVorPTo8CtwLv6XBbI9Qn+d2An2XmPxSmTinJi4jIMOkp77Wrrn9p+Du3xfsbAr8BvtjDfjcH\n",
       "7sjM3wns2uU2TsMuNAAexmoDxsK8C3+LOv8vlOt4GufLfHzV13mJp9/z1dd5iaff89XXeYmn3/PV\n",
       "13mJp9/z1dd5iWcy89XXIwzAi4H3Af8cXlct6PDzI9SX5A8ETs7MHwp8oYt4yl6Sd6kDiMylDiAi\n",
       "lzqAyFzqACJzqQOIzKUOIDKXOoCIouW9T2AJ+pPAsdh98x/vchsj1Cf5l1BfXf9h4Jgutlf2JC8i\n",
       "IpIVLe/dBMzKzM8Oy7oxQn2Snwb8OSyfwfiOdxNRkhcRkWESLe9dCMzPzM/HHlLTqdOBu7FBde4A\n",
       "3hGWH4A90e5makPmdspjw+26Lj9XFC51AJG51AFE5FIHEJlLHUBkLnUAkbnUAUTmUgcQgcPyXd87\n",
       "3lXbyB8BrgN+Eeb3AS7tYh8Ht1j+0zD1anQSnxURKQRvtxnPwmpRZ0/i9cvPg433gdXAr4CnBnsk\n",
       "8X0XNn0LHJ46jgh27fWxq+0+t5T6R9s1vv5Gj/vsBz1qVkQGyttvTjVh9iPpNr5u9V4FGxysOj3R\n",
       "4nW7957AOk9vHQ7nEnq7M0rS+EgFnkcPea+TD8wGtsIS683YP5bUlORFhpi3Wshek2avr2cCa5g4\n",
       "mXbzesL1Kn0qcXsbQfQA7AFg+1bs1mMpAA/LK3bu+prkpwOfBt4J3B6WbQGcCnyEtFU9ZU/yjto9\n",
       "k2XkKO/xOcp7bNBwfJnSbYwSbLvX2dJtX5Ip8Pg/wfNOhN+2WOeJSv3DugrFw7wz4Zw3wxtLnOAd\n",
       "Jfz/z8O8Cqygh7zXrk3+eGwgnC2xUe4A1gP+E/gcVvWT0ih2MseSRiFSAt5KqRsDm7SZdr4A1tvL\n",
       "LrKfwD4zE7vg7yqZZl4/0Gaddp9/uhKnt/GaL1pJt3RCYj/2oPIm+LJylUl0KGx3VXAz9kCaxivX\n",
       "qViv+K163WkflL0kLzIp3p4wOZ/2Sbs6bYo9GOoB7EFSjdN94e+x1AbD+iFwCAUv3YoUSE95r11J\n",
       "fi3N/+d9psVyEYnIwzqMT86tEvdGWA1cs6R9TZNlD0+UrH3tWRWXAUsr1ktbRHKsXZK/AXsaXGMv\n",
       "+rcBf4wWkUBJ25UyHOU9PkeHxxY6j21EZ6XtTbD1q6Xq7HQncDn1Je+/VqyTWD8dojbdwnPo+IZK\n",
       "uyT/HuAcrOPdH8KyHbHSxBsixyVSOB4qW8OcG+G5dFZFPg94iPHV4vdjtzg1JvNVkdqhO6I2XZHi\n",
       "mah+vwLsBTwf+3G5Hjg/dlAd8NhY+mPoqk0iatEhrV01+ZM0ryJvNj1YseYvEZFWXJiWEek++TxS\n",
       "xzvpSeiQtgGdV5GvQ+sOaY2d0x6oWM9vEZF+6ynvFTVRlj3JO8pdQ+Ho4/F56xneadLOdkhr1r7d\n",
       "rENaN1XkDp27InPo+IrMUd7j63vvepEk2nRIa1VNPoXmCfsOrD9JdlmMDmkiIrlU1NJw2UvypRQe\n",
       "tHEm1jEN4EfYAEuNSXt96juktbpvuzo9lrJDmojIAKgkL/njrUS+P/BqYF9gBla9DvYP9ivAxdQn\n",
       "7YfUIU1EZHjpefI55aHiYXsPH/HwGw+PePi+h8M9LPCw/ELwHi71dgtZ2bjUAUTmUgcQmUsdQGQu\n",
       "dQCRudQBROCYxPPki6rsB+tSB9AND+t4eI2Hr3i4w8OfPXzew77hFrTsuvPOgAtKmuChYOeuBy51\n",
       "AJG51AFE5lIHEJlLHUBEZc97dYbqYPPIw2IP/+hhuYdHPVzo4WgPz/PqLyEi0m9DlfeG6mDzwMM0\n",
       "Dy/zcJyHazzc7+EbHt5c4lK5iEheDFXeK/vButQBAHjY0MNbPXzHw4MervDwKQ8v8fY0wl65fsWY\n",
       "Qy51AJG51AFE5lIHEJlLHUBkLnUAEfWU99S7Xv4mVLO/AHgV1ht+O2xgiR8DH6jAXemiExGRYVH2\n",
       "kvzAeJjt4VUevuThNg+3ePiCh/09zEodn4iIAEOW94bqYPvNwyIP/+Dhx6HT3EUePuBhW3WaExHJ\n",
       "paHKe7pPvgsepnp4qYfPeLjawwMevuXhLR7m93NfHXIJ9jkoLnUAkbnUAUTmUgcQmUsdQGQudQAR\n",
       "OCZxn3yR2+RHUweQZyF574+1r++Ptaf/GPgH4BKNKCciUghjYVqWNozBGqpqi06Ekeae7+GDHn4Z\n",
       "quHP9XCUh0Wp4xMRkUkZqrw3VAfbiodZHg7wcKKHW8P0xbBsdur4RESkb4Yq75X9YF2rNzwsDKXz\n",
       "H4XS+sUejvHwggJ1mnOpA4jIpQ4gMpc6gMhc6gAic6kDiMylDiCioWuTHwph0JldqN27vgj4GXA6\n",
       "sLRij2QVEREpjVKX5D3M83CQh2+GnvBXe/ish929LsxERIZRqfNeo1IdbOg0t024V30sVMP/xMO7\n",
       "PSxOHZ+IiCRXqrw3kcIfbOg0t5+HEzz8xcPtHr7s4dULYL/U8UXmUgcQkUsdQGQudQCRudQBROZS\n",
       "BxCZSx1AREPXJj9K7f7BQvCwAGtbfxXwcuBa7N711wPXVGon0SUJUERE8sYxhDmhECV5D1M87Orh\n",
       "WA+Xe3jIw+nhyW4bpo5PREQKoxB5r19ye7Ae1vfw9x5OC89cv9bDv3vYQ53mRESkR7nNezHk5mBD\n",
       "p7mtPRzt4YLQae6nHt7jYaTHzbo+hphHLnUAEbnUAUTmUgcQmUsdQGQudQCRudQBRDR0bfLJeJgJ\n",
       "7EHt3vVZwE+A/wHOr8BjCcMTEREptIGX5D1s5uFwD+d4eMTDbzx81MOLCjTSnIiIFFNuarAHIfrB\n",
       "hk5zO3v4pIffe1jh4QwPb/Owcez9i4iIZCjJ92Gj63k40MMpHu71cL2H4z3s6WF6jH224Aa4rxRc\n",
       "6gAicqkDiMylDiAylzqAyFzqACJzqQOISG3yvfDwXKxd/VXArsBvsHvX/60Cf0kZm4iIyDDquSTv\n",
       "YYaHvT38l4ebPNzt4WQPr/Mwt59BioiI9Imq69usvKmHd3g428PDHn7n4eMeXqxOcyIiUgBDl+RH\n",
       "adH+EjrN7ehhmYdLQ6e5szwc5mGTQQbaI5c6gMhc6gAicqkDiMylDiAylzqAyFzqACJzqQOIwGH5\n",
       "buja5EezMx7WBV5BbWz4R7B7148Bfl2BNYMOUEREZJLGwrQsbRiD5cN/tvLwPg+/8LDSw3lhfqvU\n",
       "AYqIiPTRcFXXe1gVbnP7uoc3hJK8iIhIGQ1dkvcezkwdSCQudQCRudQBRORSBxCZSx1AZC51AJG5\n",
       "1AFE5lIHEFFPSX5Kv6MYoMuAI1MHISIiIv3lPcxLHYSIiMiADFd1feoAREREBmjoquvLzKUOIDKX\n",
       "OoCIXOoAInOpA4jMpQ4gMpc6gMhc6gDyRkleREREckXV9SIiMkxUXS8iIiI1SvL55FIHEJlLHUBE\n",
       "LnUAkbnUAUTmUgcQmUsdQGQudQB5oyQvIiIiuaI2eRERGSZqkxcREZEaJfl8cqkDiMylDiAilzqA\n",
       "yFzqACJzqQOIzKUOIDKXOoC8KXKSH0UnVEREys1h+W6oqE1eRESGidrkRUREpEZJPp9c6gAic6kD\n",
       "iMilDiAylzqAyFzqACJzqQOIzKUOIG+U5EVERCRX1CYvIiLDRG3yIiIiUqMkn08udQCRudQBRORS\n",
       "BxCZSx1AZC51AJG51AFE5lIHkDdK8iIiIpIrapMXEZFhojZ5ERERqVGSzyeXOoDIXOoAInKpA4jM\n",
       "pQ4gMpc6gMhc6gAic6kDyBsleREREckVtcmLiMgwUZu8iIiI1CjJ55NLHUBkLnUAEbnUAUTmUgcQ\n",
       "mUsdQGQudQCRudQB5I2SvIiIiOSK2uRFRGSYqE1eREREapTk88mlDiAylzqAiFzqACJzqQOIzKUO\n",
       "IDKXOoDIXOoA8kZJXkRERHJFbfIiIjJMStEm/zzgy8CZwOGJYxEREZEIpmCJvpWyl+Rd6gAic6kD\n",
       "iMilDiAylzqAyFzqACJzqQOIzKUOIKJSlOQBXgP8BPhu6kASelHqACIr8/GV+dhAx1d0Or4hM4gk\n",
       "fwpwH3BNw/L9gT8CfwKOySw/FzgAOGwAseXVvNQBRFbm4yvzsYGOr+h0fENm2gD2cSrwBeCbmWVT\n",
       "gROBVwB3AZcBPwI2Ad4IzAIuHEBsIiIipTWIJH8xMNKwbBfgZuDWMP9d4HXAccBFA4gp70ZSBxDZ\n",
       "SOoAIhpJHUBkI6kDiGwkdQCRjaQOILKR1AHkTWVA+xnBquG3C/NvAvYDjgjzhwK7Av/c4fZuBp7T\n",
       "x/hERETy7M/AVt1+aBAl+WYm2zu+6wMVEREZNql6198FLMrMLwLuTBSLiIiITMII9b3rp2FVDyPA\n",
       "DOBKYJuBRyUiIiKTcjpwN/AkcAfwjrD8AOBGrH39wy0+2+o2u6wTwvtXATv0J+SBmOjYHPAIcEWY\n",
       "PjawyCav1W2TWUU9bzDx8TmKe+7AatYuBK4DrgXe22K9op7DTo7PUcxzOAu4BCs4XQ98tsV6RT13\n",
       "nRyfo5jnLmsqFvu5Ld4v6vmrMxW7ABgBptO8tP9KYHl4vSvwu0EFN0mdHJvDbissopdh//BaJcGi\n",
       "nreqiY7PUdxzB/AsaoOKzMUuxsvy/x50dnyO4p7DdcLfadh52b3h/SKfO5j4+BzFPXdV7wf+l+bH\n",
       "0dX5y+OId1XZ2+yeonabXdZrgW+E15dgAyFsOqD4JqOTY4PB3f3QbxcDK9q8X9TzVjXR8UFxzx3A\n",
       "vdiFJ8Aq4AZgQcM6RT6HnRwfFPccrg5/Z2AFioca3i/yuYOJjw+Ke+4AFmKJ/Gs0P46uzl+ek/zm\n",
       "WPV+1Z1h2UTrLIwcVz90cmwe+DusOmY5sO1gQhuIop63TpXp3I1gtRaXNCwvyzkcofnxFfkcTsEu\n",
       "Yu7DmiWub3i/6OduouMr8rkD+G/gA8DaFu93df7ynOQ7vc2u8UqnCA+v6STGy7G2w+2xEQN/EDWi\n",
       "wSvieetUWc7dXOBs4H1YibdR0c9hu+Mr8jlcizVHLAT2oPlDW4p87iY6viKfu1cD92Pt8e1qIzo+\n",
       "f3lO8p3cZte4zsKwLO86ObaV1Kqlfoq13W8QP7SBKOp561QZzt104HvAt2n+I1n0czjR8ZXhHD6C\n",
       "Pexrp4blRT93Va2Or8jn7u+w6vhbsE7re1E/JDyU5/x1dJtdtgPCSyhOB5JOjm1Taldru1AbArgo\n",
       "Ruis412RzlvWCK2Pr+jnroL9sPx3m3WKfA47Ob6insONqD2kZTbwS2DvhnWKfO46Ob6inrtGe9K8\n",
       "d32Rz984zW6zOypMVSeG968CXjzQ6CZnomN7D3Z7z5XAb7CTWRTV2ybXYG1H76Q85w0mPr4inzuw\n",
       "3sprsfirtyEdQHnOYSfHV9RzuB1WXX0lcDXWtgvlOXedHF9Rz12jPan1ri/L+RMRERERERERERER\n",
       "ERERERERERERERERERERERGReKpDnC4GDu7ztj/SMP/rPm+/35ZiQ4P20+doPtRqJ/YEdpvk/kdo\n",
       "/xjkXszEBmbJ8yiiMoT0D1JkvOo40FsCh3T52WkTvP/hhvmXdrn9QZvsmOaNvzHrYuONj/W4vZdj\n",
       "Q392Y6Jz0g9PYk8nfP0A9iUiIpOwMvz9HfAwNiLa+7CEdTxwKTbS1JFhPYf9wP8Q+GNY9gPg99jI\n",
       "W0eEZccBT4ftfSssq9YaVMK2r8FG8npzZttjwFnYI1G/3SLmsbD9S7CRFKvP2F5KfUn8x1iSre77\n",
       "P0KM52Ejg12EDbn8mrDOYeFYLgRuAj6R2dahYX9XAF+hltBXYaX1KxmfkA8FPpOZ3xsbwexq4OvY\n",
       "MM9gQ5FWxxvfKex/MXAP9pyHK7ALpI2xh8xcGqbq/kax7/hX2HO5s0aoleRnAaeG/V9OrYah1fKl\n",
       "2Hlu9n3sip0nERHJsWqSbxw7+kjgo+H1TOAyLGE4LLEtzqw7P/ydjSWU6vxK6lXnDwR+gSX7TYDb\n",
       "gGeFbT+MPe+8gg3T2az0fyF2kQA2ROt54fVS6pP8udSS/Fpgv/D6nLD/qcALsSRa/fzdIf5Z4Vh2\n",
       "xJ618KOwPsCXgLdltvumJjECfBl4Y3g9C7gd2CrMfwO7mAJ7QEdjkgdYBrw/s73vUPs+tqD22NFR\n",
       "7PzMbBLDCLUkfzT23G6ArbHvfWab5Utp/n0Q3i/kg0KkvAZRjSVSVI2Pc9wXGzu7msDWwxLU01gp\n",
       "8rbMuu+jVnW7CHhuWKeV3bGE5bFHTV4E7Aw8Gj53d1jvSixJNWvLPyf8vTysM5E1wM/D62uAJ4Bn\n",
       "sJJ99vO/AFZk9rF7WG9HrLYC7GLm3vD6GewJb81US+NgyfMWbAxusCT/HuDzE8SdPS+voP7hTusC\n",
       "c7Dv8UdYNXo7LwVOCK9vxM7hkjbLPc2/jz+EfU3Bkv8TE+xXZCCU5EW680/USslVDnisYX5vrPr7\n",
       "CawUOmuC7XpaPyM6m6ieofX/t082Wedp6tvFs3E8lXm9Fkv61det9lHJxPUNxnckBDvmdm35rfoC\n",
       "Zbedjbvdd1fBqsnXNHlvdZNlrbbRzfLGddY2zBfp2exScup4J9LaSqxkWPVz4B+pJcAlwDpNPrce\n",
       "VtJ7Ange9U/BeormCfRi4CDs/8mNsSr1S+ks0bRzK/CisJ1F2KM3u7UPVj09G3gd1s59PlajsXFY\n",
       "ZwOsunwi1WYIsBLyCPCcMP82rAajGnf1OeEHZj7feE5+Abw3M799BzFkXQy8Nbxegh3DH9ssrzD+\n",
       "+6jWqszELrAmqj0QGRgleZHxqiWxq7Af7Sux6vevYW2+l2PV21/GEranvvT2s7D8euCzwG8z752E\n",
       "deaqdryrfu77YflVWAL9AFZt37htmsy3O4ZfYVXi12PV4H9osx3f5LXHLja+F2I7Gzv+G4CPYUn2\n",
       "qvD3WU220+hX1JL3E8A7sM5qV2Ol96+E9z4Z4r0sLK9u81zgDdQ63r03bO8q4DrqH8fZLo7qe1/C\n",
       "fgevBr6LdTR8qs3yVt8HwA7Un2sREZGhMhdL3EW1lNbjBnwGuwARyQ2V5EVkkFZhfRRenjqQHjWr\n",
       "WQGrqt8du91QREREREREREREREREREREREREREREREREREREROL6/3HnVmHbQX+QAAAAAElFTkSu\n",
       "QmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa75103f3d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Global objective: 1.387505e+05\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAgsAAAFRCAYAAAD6ou7CAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xe4XFW9//H3kIQk9IQOAQ4geMWKIKCCLoqUqwKCV4IF\n",
       "CIoFBAs/9YIFsF0FLCBSlBIsNBW5oIiAEC8WiEISUAgpECBBaQJSpGb9/lhrnH1O5pwzZzLf+e7Z\n",
       "5/N6nnnO7vuz90DWmrXX3htERERERERERERERERERERERERERERERERERERERERcTAe+1OKyS4HN\n",
       "2tzPImDXNtcVkYpZwTuAiPQzFbgJeBJ4ALgR+Ehhfswfa93aj4j0AFUWRMrjaODbwNeBdfPnw8Ab\n",
       "gXGF5Wrdj9Yzauj8iIhIRa1Oak14xzDLnUf/yxCHAfOBR4D/BdYvzFsKHAksBB4CTqRRkG4OXAc8\n",
       "nOf9KGeouxvYZZAME4FvkC5VPAbcAEzI8/YG/go8ClwP/EdhvUWkCtGcvN5FwPg87w7grYVlx+Zc\n",
       "r8njOwB/yNudDby5sOwM4MvA74GnSZdedgfuzPv5LvBb4P2FdQ4Fbgf+AVwFbFyYtxT4EDAv7++0\n",
       "Acd/WF73n/lYt87TNwB+BjwI3EU69yIiIh2zJ/A8w7f2FSsLu9AoUFcETiUVinVLgd8AawAbkQrP\n",
       "eoG5OalPwjhgrbzetwrrDlVZ+C6porF+zrtD3v+WpArPrsAY4FOkiszYwjZvBNYDJpEK3A/leZ8n\n",
       "VVjq3koqiAE2JFVq9szju+XxNfP4DFJF5GU5z9rA48C+efwo4DlSBQFgn5zrpXn+Z0kVjbqlwOXA\n",
       "aqTz9iCwR573X8BiYJs8vjmporECcDPwuXy8m5Iqabsvc/ZERETa9F7gbwOm1X9JPw3smKedB3wx\n",
       "D58DfK2w/MqkQrH+K3kp/QurjwDXDrL/fYFbCuODVRZWyHle2WTe50mtBXU1UsH6psI2312Y/3Xg\n",
       "jDz8EtIv9XoLxY9JBS/AZ4AfDNjXVcBBefh64PjCvIPoX/gD3EujsvCrwnD9mJ4iVQwgnbc3FOZf\n",
       "DHw6D/+a5i0G2wP3DJh2DHBuk2VFeo76LIiUwyOkX/jF/yffQPoF/gjN/19dn/4F1FN52Q0L0+4r\n",
       "DN9LaiqH1B/iIlJh/jjwQxq/1IeyFqlAXzhInnsL4zHvv5jn74XhfwGr5OEFpEsRewMrAW8HLsjz\n",
       "NiH9on+08HkjqYWirnicG+TjKiqObwKcUtjWI3n6YDmfLuScQvNj3yTvt5jxGGCdJsuK9BxVFkTK\n",
       "4Y/As6Rf+K26H+grjK9MKvCXFKZtPGC4Pu+rwIvAK0h9Fd5Ha/8ePAw8Q2oJaJZnk8J4jfRrfUmT\n",
       "ZWHZuy0uBA4kXSa4nXTdH1IF5IekilP9syqpD0azbd1PKtSLOYrj9wIfHLC9lUmXSIZzH82P/V5S\n",
       "y0lxm6sBb2thmyKlp8qCSDk8BpwAnA7sTyoMVyD1R1i5sFyxt/+FwDTg1aSOgl8lFXjFX/f/j0af\n",
       "haNITeqQfik/RWr635DUv6AVS0lN698ktSSMAV5P6rNwCamvwS6kvhBHkyoWfxhkWwPvWriI1Dfg\n",
       "w6TLEHU/IrU07J73NwEI9G8JKG7rl6TLJPuQ+g8cQf9WiDOBY4Gt8vjqpJaLwRTP+dmkc/raPO0l\n",
       "pErYTOAJ0uWKiTnnK4Bth9iuiIhIW95Nes7CU6SOdTcCH6Bx62SxzwKkDoILSE3pl9O4zACpYP8o\n",
       "qdn8YeAkGj8QtgL+TCrgbgE+Sf9KxlAdHCeQOkMuJlVyZtDoa7AvqWPiY6S+BC8bYpvHsWxfhGtJ\n",
       "/S4GNt9vl/fzCOm8XEGjteB6+vdBgFTpKN4N8QfgPYX57wVuJV2CuZdUCah7kf4Ps2p2zueSzt2t\n",
       "pMoapMrTBaS+J//I+xzsHIpIdi7poTK3FaZdBMzKn7vz37pjSD2U59K/U9Y2eRvzSdcZ68aTfiXN\n",
       "J/2DWmz+PJh029M8Gp2gRGR0WoF0KeTNwy0oIt23E+n+49sGmX8yjd7OW5HunR5Huga7gEaz30zS\n",
       "rwqAK2ncPnU4qckW4AAavbAnk35JrZE/9WERGT12J/1/P57078wSGs90EJGS6aN5ZaFGavrbPI8f\n",
       "Q7o9qu4q0r3b65N6SNdNJV1vrC+zfR6uP8AFUgepMwrrnJnXE5HR4zjSpZd/kjqPvs43jkhvGzv8\n",
       "IiZ2Il2iqN+CtAH9eyIvJnVeep7+tzwtodGpaUMat0u9QLr2uCbL3ja1mP4doUSk+k7IHxHpAK+7\n",
       "IQ6kcQ+1iIiIlJhHy8JY0vPvX1uYtoTG09Mg9XJenKdPaTK9vs7GpHuqx5Juf3okTw+FdTYiPZq2\n",
       "mSX07z0uIiJSZQtp/qwQV30s22dhT9KtTkX1Do4r0nimer2D402kvgk1lu3gWO+bMJX+HRzvInVu\n",
       "mlQYbqbKr+A93juAseO9Axg73juAseO9Axg73juAoeO9Axg73juAsdKVexeSfvU/S+pbMC1PP4/0\n",
       "9LSBjiXdBTGXxktboHHr5ALSi3LqxpMeAlO/dbKvMG9anj6fdBvlYEp30jpouncAY9O9Axib7h3A\n",
       "2HTvAMamewcwNN07gLHp3gGMVbncM1PlkzbdO4Cx6d4BjE33DmBsuncAY9O9Axia7h3A2HTvAMaq\n",
       "XO6ZqfJJC94BjAXvAMaCdwBjwTuAseAdwFDwDmAseAcwVuVyz4xOmoiIjCZtlXt6kVR1Be8AxoJ3\n",
       "AGPBO4Cx4B3AWPAOYCh4BzAWvAOUkSoLIiIiIkPQZQgRERlNdBlCREREOk+VheoK3gGMBe8AxoJ3\n",
       "AGPBO4Cx4B3AUPAOYCx4BygjVRZEREREhqA+CyIiMpqoz4KIiIh0nioL1RW8AxgL3gGMBe8AxoJ3\n",
       "AGPBO4Ch4B3AWPAOUEaqLIiIiIgMQX0WRERkNFGfhfbEKyGu4Z1CREREyilCjBAv9g5iIHgHMBa8\n",
       "AxgL3gGMBe8AxoJ3AEPBO4Cx4B3AmFoW2jQX+JB3CBERESmnCPEeiKt4BxEREekCtSy06TrgRO8Q\n",
       "IiIiUk4xdW6M90Hc1TtMhwXvAMaCdwBjwTuAseAdwFjwDmAoeAcwFrwDGFPLQntqjwEfBM6BuKp3\n",
       "GhERESmXQg0rng3xTL8oIiIi5vR8oTYUKwurQ7wX4lv84oiIiJhSZaENA05a3CPfHbGaT5yOCt4B\n",
       "jAXvAMaCdwBjwTuAseAdwFDwDmAseAcwpj4Ly6/2a+DXwMneSURERKQcmtSw4mq5dWGP7scREREx\n",
       "pcsQbRjkpMXdcv+F1bsbR0RExJQqC20Y4qTFMyGe070oHRe8AxgL3gGMBe8AxoJ3AGPBO4Ch4B3A\n",
       "WPAOYEx9FjrsU8CuEPfyDiIiIiJ+hqlhxV3z0x31CmsREakCXYZoQwsnLZ4O8Tz7KCIiIuZUWWhD\n",
       "K5WFVSDeBfGt9nE6KngHMBa8AxgL3gGMBe8AxoJ3AEPBO4Cx4B3AWOn6LJwLPADcNmD6kcAdwF+A\n",
       "r+dpfcC/gFn5c3ph+W3yNuYDpxSmjwcuztNvBDYpzDsYmJc/By3fYdSeBA4FzoI4afm2JSIiIkU7\n",
       "AVvTv7KwM3ANMC6Pr53/9rFspaJuJrBdHr4S2DMPH06jUnEAcFEengwsBNbIn/pwMyOoYcXTIJ7f\n",
       "+vIiIiKlU8rLEH30rwRcAuzSwnJ165NaIeqmAvWXPV0FbJ+HxwIP5eEDgTMK65yZ12tmJJWFVSAu\n",
       "hPj21tcREREpldJdhmhmC+BNpMsGM4BtC/M2JV2CmAHsmKdtCCwuLLMkT6vPuy8PvwA8DqwJbDBg\n",
       "ncWFdZbDvy9HnAlx8vJvz1zwDmAseAcwFrwDGAveAYwF7wCGgncAY8E7QBmNddjfJGAH4HWklobN\n",
       "gPuBjYBHgdcClwEv73K2FtR+C/GnpL4T7/NOIyIi0g3driwsBi7Nw38ClpJaAx4BnsvTbyH1M9iC\n",
       "1JIwpbD+FBqtBkuAjUkVjbHA6nk7S+hfM9wIuG6ITNOBRXn4MWA2qXWDwnYK4xv/Cu49DeI+UHt8\n",
       "2fmlGZ9RsjydHp9RsjydHp9RsjydHp9RsjydHp9RsjwaH73j9eE+SqyP/n0RPgSckIe3BO7Nw2sB\n",
       "Y/LwZqQKQb1T4k2kvgk1lu3gWO+bMJX+HRzvyutPKgw302ZHj7gTxPshrtne+iIiIi5K18HxQtKv\n",
       "/mdJfQumke6C+CGpAnEzjZrPfqRbKWfl6cVnGtRvnVwAnFqYPp50GaN+62RfYd60PH0+6TbKwSzH\n",
       "SYvfgvjj9tc3F7wDGAveAYwF7wDGgncAY8E7gKHgHcBY8A5grHSVhV6wPJWFlSDOg/iOzsXpqOAd\n",
       "wFjwDmAseAcwFrwDGAveAQwF7wDGgncAY6ostGE5T1p8I8S/QVyrM3FERERMqbLQhg6ctPgNiBcN\n",
       "v5yIiIg7VRba0InKwkSId0Lcf/m31VHBO4Cx4B3AWPAOYCx4BzAWvAMYCt4BjAXvAMZ64qFMFVT7\n",
       "F3AIcBrEtYdZWERERHpMB5tj4kkQL+nc9kRERDpOlyHa0MnKwkSIcyG+q3PbFBER6ShVFtrQ4ZMW\n",
       "d4D4d4jrdHa7bQneAYwF7wDGgncAY8E7gLHgHcBQ8A5gLHgHMKY+C/5qNwLnA6dDrHmnERERkeVn\n",
       "0BwTJ0C8HeIBnd+2iIjIctFliDYYnbS4HcQHIK5rs30REZG2qLLQBsOTFv8H4qWOlyOC0367JXgH\n",
       "MBa8AxgL3gGMBe8AhoJ3AGPBO4Ax9VkomeNJb9Y80DmHiIiILAfj5pi4bb4csZ7tfkRERFqiyxBt\n",
       "6MJJi1+GeJnujhARkRJQZaEN3agsjId4G8T32u+rn9Dl/XVb8A5gLHgHMBa8AxgL3gEMBe8AxoJ3\n",
       "AGPqs1BOtWdJ7474JsQNnMOIiIjICHWxOSZ+EeIVuhwhIiKOdBmiDd2sLKwIcQ7Eg7q3TxERkX5U\n",
       "WWhDl09a3BrigxA37MLOQhf24Sl4BzAWvAMYC94BjAXvAIaCdwBjwTuAMfVZKL/aLOB04Hu6HCEi\n",
       "ItIbHJpj4ooQZ0M8pPv7FhGRUU6XIdrgdNLiqyE+BHGKz/5FRGSUUmWhDY4nLX4B4q8ML0cEo+2W\n",
       "RfAOYCx4BzAWvAMYC94BDAXvAMaCdwBj6rPQY/4HWBeY5h1EREREBufcHBNfmS9HbOSbQ0RERgld\n",
       "hmhDCU5a/BzEX+vuCBER6YISlHu9pwQnLY6D+GeIh3V4w6HD2yub4B3AWPAOYCx4BzAWvAMYCt4B\n",
       "jAXvAMbUZ6E31Z4nvTviqxA3dg4jIiIiA5SgZaEuHgPxGl2OEBERQyUq93pHiU5aHAtxJsQPeScR\n",
       "EZHKKlG51ztKdtLiVvnuiL4ObCx0YBtlFrwDGAveAYwF7wDGgncAQ8E7gLHgHcBY6fosnAs8ANw2\n",
       "YPqRwB3AX4CvF6YfA8wH5gK7F6Zvk7cxHzilMH08cHGefiOwSWHewcC8/OmhtzzWbgdOBs6BqP4k\n",
       "IiJSeTsBW9O/srAzcA0wLo+vnf9uBczO0/uABUD92v1MYLs8fCWwZx4+nPRSJoADgIvy8GRgIbBG\n",
       "/tSHmylZywLkyxE3QfyIdxIREamcEpZ7qeAvVhYuAXZpstwxwGcK41cBOwDrk1oh6qYCZxaW2T4P\n",
       "jwUeysMHAmcU1jkzr9dMKU8axJflyxGbeicREZFKKd1liGa2AN5EumwwA9g2T98AWFxYbjGwYZPp\n",
       "S/J08t/78vALwOPAmkNsq4fU7gBOBM5djssRoXN5Sil4BzAWvAMYC94BjAXvAIaCdwBjwTtAGbVa\n",
       "EPUBu+XhlYDV2tzfWGASqdXgU6SWBmnum8AEQJcjRETE1dgWlvkgcBipL8DmwBRSM/+ubexvMXBp\n",
       "Hv4TsBRYi9RiUHw/wpS87JI8PHA6ed7GwP35OFYHHsnTQ2GdjYDrhsg0HViUhx8j9Z2Ykcfr23EY\n",
       "r70I+5wOHz0N4lVQWzjC7c3wzW8+PqNkeTo9PqNkeTo9PqNkeTo9PqNkeTQ+esfrw30Ym0O682BW\n",
       "YdrAOxwG0zdg2Q8BJ+ThLYF783C9g+OKwKakTon1Do43kfom1Fi2g2O9b8JU+ndwvIvUqXFSYbiZ\n",
       "kvZZKIpHQ/yt7o4QEZEOMCv3Zua/9crCWODWFta7kPSr/1lS34JppLsdfkiqQNxM/5rPsaS7IOYC\n",
       "exSm12+dXACcWpg+nnQZo37rZF9h3rQ8fT7pNsrB9EJlYQzE30M8coQrBos0JRK8AxgL3gGMBe8A\n",
       "xoJ3AEPBO4Cx4B3AmFm5dxLwWeBO4C3Az4GvWO2sy3qgsgAQt4T4MMSXjGClYJWmJIJ3AGPBO4Cx\n",
       "4B3AWPAOYCh4BzAWvAMYMyv3xpD6Lfw0fw6jcYmg1/VIZQEgfgLiDbocISIiy6GHyr3y6KGTFsfk\n",
       "ysLHvZOIiEjPMiv37m7yuctqZ13WQ5UFSJch4sMQt2hh4WCdxlnwDmAseAcwFrwDGAveAQwF7wDG\n",
       "gncAY22Ve63cOvm6wvAE4J2khx9J19UWQPwicB7EN6fbK0VERMrpFu8AHdJjLQuQ+izE30L8pHcS\n",
       "ERHpOWYtC9sUNr4C6RHNY9rZmXRCbSnEQ4GbIP4Sand6JxIREZkBXJ8/1wDfB17qGaiDerBloS5+\n",
       "FOIfUsfHpkI30zgI3gGMBe8AxoJ3AGPBO4Ch4B3AWPAOYMysZSG0s2ExdzqwP/AJ4GTnLCIiUmFD\n",
       "PS/h6Px3YC2klqd90yRRd0V6+pkRcTPSEzZ3hNpc7zQiIlJ6bZV7Q7UsrErz5oraINOl62p3QfwC\n",
       "MB3iG3V3hIiISOdVoNITV4B4HcRPD5gRPNJ0UfAOYCx4BzAWvAMYC94BDAXvAMaCdwBjZn0WJgLv\n",
       "J70ZcmJhR4e2s0PptH/fHfFniL+A2u3eiUREZPT5KfAl0lMbDybdEXHqkGv0jgq0LNTFD0OcCbGV\n",
       "CqCIiIxOZuXe7Py3/lrqccBNVjvrsipVFmoQr4X4395JRESktMzKvZn57w3AK4G10bshSipuAvEh\n",
       "iK+g+tfdgncAY8E7gLHgHcBY8A5gKHgHMBa8Axhrq9xr5XXH3wcmA58DLgduB05sZ2dirXYP8Fng\n",
       "PFhZT9kUEZGuqfI18Iq1LEC+HHE1xGO9k4iISOmYlXv3At8DdqWnH2DUVAUrCwBx43w54pXeSURE\n",
       "pFTMyr2VgQOAnwP3AKcBO1ntrMsqWlkA+PpJEG+GOM47iZHgHcBY8A5gLHgHMBa8AxgK3gGMBe8A\n",
       "xsz6LDwFXAy8A3gNsDrp5VJSasf8EngI0N0RIiLSFQE4A7gbuIT0AqMqqHDLAkCcki9HvMo7iYiI\n",
       "lIJZubcIuAw4EFjFaidOKl5ZAIjTIM6q8OUIERFpnVm5t7rVhkugypWFkP7EGsRfQjzONU3nBe8A\n",
       "xoJ3AGPBO4Cx4B3AUPAOYCx4BzBm1mfh8XY2LGVRi8AHgSMgvsY7jYiISK+pcsvCAPFgiHMgruid\n",
       "RERE3Iyicq9zRtFJi7X0Vsp4gncSERFxY1buTQDeQ3qM8HH58wWrnXVZlSsLYdlJcQOID0J8bdfT\n",
       "dF7wDmAseAcwFrwDGAveAQwF7wDGgncAY2Z9Fv4X2Bt4Hngyf55qZ2firXY/cDQwXZcjRESkk/7i\n",
       "HcBQlVsWBhFrEC+H+CXvJCIi0nVm5d73gKo+1GcUVhYA4voQH4C4rXcSERHpKrNy7w7SJYh5wG35\n",
       "c6vVzrqsypWFMPTs+B6If4E4vitpOi94BzAWvAMYC94BjAXvAIaCdwBjwTuAMbM+C3sBWwBvAd4G\n",
       "vJ3Uh2E45wIPkCoXdccDi4FZ+bNnnt4H/Ksw/fTCOtvkbcwHTilMH096Z8V84EZgk8K8g0mVm3nA\n",
       "QS1kHY0uIJ27qnRWFRERZ68BjgQ+Cry6xXV2Aramf2XhOOCTTZbtG7Bc0Uxguzx8JY0KxuE0KhUH\n",
       "ABfl4cnAQmCN/KkPN1PlloUWxPXy5YjXeScREZGuMGtZ+BjwI2BtYN08fFQL690APNpkeq3ldLA+\n",
       "sCqpwgDwA2DfPLw3cH4e/hmwax7eA7gaeCx/rqFRwZB+an8HPk66O2KCcxgRESmpVioLHwC2JzVX\n",
       "fx7YAThsOfZ5JDAHOIf+v/g3JV2CmAHsmKdtSLpsUbckT6vPuy8Pv0B6LPWawAYD1llcWGc0CS0u\n",
       "dxEwl3SJqJcE7wDGgncAY8E7gLHgHcBQ8A5gLHgHKKOxLS63dJDhkToD+GIe/hLwDeD9wP3ARqSW\n",
       "iNeS3nL58uXYz0hMJ71ZE1JLxGxShQUa/9FUeLwGxMOBOfD+e+CcO8qVT+Ma13jJxhlmfq+PM8z8\n",
       "XhuvD/dh7JOkux+OB04gtQp8osV1+xi8L8JQ864nVRrWJ92NUXcgqcIBcBWplQNSpeehPDwVOLOw\n",
       "zlmkPg3NjPI+C0XxXRDv0OUIEZFKMy33tiH1XTiK1GmxVX30rxCsXxj+BKlHPsBawJg8vBnp0kH9\n",
       "EsVNpMsgNZbt4FivOEylfwfHu/L6kwrDzaiy0E/8CcQTvVOIiIiZjpd7q+W/k/Nnzfypjw/nQtLl\n",
       "hedIfQsOJXVQvJXUOnEZqcMkwH6kJ0XOAm4G3lrYTv3WyQXAqYXp44FLaNw62VeYNy1Pn0+6jXIw\n",
       "Va4shJGvEteB+HeIr+94ms4L3gGMBe8AxoJ3AGPBO4Ch4B3AWPAOYKzj5d4v899FwN1NPlWgysIy\n",
       "4n9BnAtxYkfTdF7wDmAseAcwFrwDGAveAQwF7wDGgncAY1Uu98zopDUVL4Z4sncKERHpOLNy7zct\n",
       "TutFqiw0FdeC+DeIb/BOIiIiHdXxcm8iqY/CrTT6KUwm9Q2Y2+mdOalyZSEs3+pxP4jzIK7UkTSd\n",
       "F7wDGAveAYwF7wDGgncAQ8E7gLHgHcBYx5/g+CHgz8BLSZ0O65/LgdPa2Zn0ktqlpO/7y95JRESk\n",
       "/I70DmCoyi0LHRDXhHg/xJ28k4iISEeYvRsikp5XUDeJ9IwDqbzaI6Tv+twSX44QEZESmNNk2uyu\n",
       "p7BR5ZaF0LlNxR9B/HbnttcRwTuAseAdwFjwDmAseAcwFLwDGAveAYyZtSysMGC5McC4dnYmPeso\n",
       "4L8gvsk7iIiIlNPJpCcl7grsBvyE9AKoKqhyy0KHxb0hLoS4sncSERFpW1vlXq2FZcYAHyRVFgCu\n",
       "Ac4GXmxnhyUTae0cCADxB8DjUKtyp1cRkSpTudeGKrcshM5vMk6CuBiiwbZHLHgHMBa8AxgL3gGM\n",
       "Be8AhoJ3AGPBO4Axsz4LO5JaE+bTeC/EXe3sTHpd7VHgw6S7I1bxTiMiIuVxJ7AX6Q2RaxU+VVDl\n",
       "lgVDcTrE73qnEBGRETMr926y2nAJqLLQlrgGxPsg7uKdRERERsSs3PsacBLweuC1hU8VVLmyEGw3\n",
       "H/8T4t0QV7Xdz6CC0367JXgHMBa8AxgL3gEMBe8AxoJ3AGNtlXtjW1hmh7zxbQdM37mdHUpV1K6E\n",
       "eD1wIvAR7zQiIiJWqtyy0AVxDYj3QtzNO4mIiLTE7DkLx9G4L7O4ky+2s8OS0f2myy3uAZwFvApq\n",
       "//ROIyIiQ2qr3Gvl1smn8udJYCnwn0DfSHckXRe6s5var4FrSf1auil0eX/dFrwDGAveAYwF7wCG\n",
       "gncAY8E7QBm10mfh5AHjJwFXG2SR3nU0cCvE3aGm/zZERITJwALvEB2iPgsdE3eHeA/E1b2TiIjI\n",
       "oMz6LNxWGF4BWIfUX+E77eywZNRnoaPi94Aa1A7zTiIiIk11vNzbNP/dhNRHoQ+YQrVeT13lloXQ\n",
       "/V3G1SAugrhnF3YWurAPT8E7gLHgHcBY8A5gKHgHMBa8Axjr+Lshfpr/ngssyp/FwPPt7EhGg9o/\n",
       "gQ8A30+3VYqISBUM1RQxG/gJ6YE73xywbMzTep0uQ5iIZwDjoXaodxIREemn47dOTgVeBMYAqwKr\n",
       "FD5ej/iV3vBpYOf0SGgRERkNqvwPvvosmIm75JdNTTLaQTDablkE7wDGgncAY8E7gKHgHcBY8A5g\n",
       "rON9FuqubGfDMtrVrgMuB77lnURERGR5VLlloQTiKhDvgvg27yQiIgKo3GuLTpq5GCAuNrwcISIi\n",
       "rTMr91YGPg98P49vAVTll2KVKwvBO0BD/A7EH3R4o6HD2yub4B3AWPAOYCx4BzAUvAMYC94BjJn1\n",
       "WTgPeA54Qx6/H/hKC+udCzxA/ydAHk96VsOs/NmrMO8YYD4wF9i9MH2bvI35wCmF6eOBi/P0G0kP\n",
       "j6o7GJiXPwe1kFVs/TfwRoh7ewcREREbN+e/swrT5rSw3k7A1vSvLBwHfLLJsluRnuswjvSkyAU0\n",
       "7gOdCWyXh68E6k8HPBw4PQ8fAFyUhycDC4E18qc+3EyVWxZKJr4J4hKIk72TiIiMYmYtC88CEwvj\n",
       "m+dpw7kBeLTJ9GYPg9gHuJD0dMhFpMrC9sD6pGc6zMzL/QDYNw/vDZyfh38G7JqH9yC9FfOx/LmG\n",
       "RgVD3NT+j/RU0FO9k4iIyMi0Ulk4HriK9F6IC4DrgM8sxz6PJLVMnEPjF/8GpMsTdYuBDZtMX5Kn\n",
       "k//el4dfAB4H1hxiW6NN8A7QxLHA9hD3HXbJ4YUObKPMgncAY8E7gLHgHcBQ8A5gLHgHKKOxLSxz\n",
       "NXALsEMe/xjwUJv7O4P0xkqALwHfAN7f5rY6ZTqpNQNSS8RsYEYeD/mvxjsyXnsdfORUOP10iDdA\n",
       "7ZXlyqdxjWu8hXGGmd/r4wwzv9fG68N9GLsCeDfproiR6qN/n4XB5v13/tRdRboMsR5wR2H6gaQK\n",
       "R32ZegVmLI0KzFTgzMI6Z5H6NDSjPgsu4rcgXuCdQkRkFDIr9wKpgL6HdM35ncCEFtfto39lYf3C\n",
       "8CdIlzWg0cFxRdKrsRfS6NtwE6niUGPZDo71isNU+ndwvIt0iWNSYbgZVRZcxJUgzoO4n3cSEZFR\n",
       "xrzcGwu8BbgE+GcLy19Ius3yOVLfgkNJHRRvJfVZuAxYt7D8saSOjXNJnRTr6rdOLqB/57jxOUv9\n",
       "1sm+wrxpefp80m2Ug6lyZSF4BxhafCPEv0Fcu80NhE6mKaHgHcBY8A5gLHgHMBS8AxgL3gGMmZZ7\n",
       "E0lN+T92mQI8AAAcD0lEQVQD7ga+Y7mzLlJlwVU8GeLFba4cOpmkhIJ3AGPBO4Cx4B3AUPAOYCx4\n",
       "BzBmVu5dQroEcRawM+mV1VVR5cpCD4gTIc6F+E7vJCIio4RZubcH1aogFKmy4C6+HuLfIa7jnURE\n",
       "ZBTo+EOZ6g85WoX00KT98mf//FfKLXgHaE3tj6S+LN8d4Yqh81lKJXgHMBa8AxgL3gEMBe8AxoJ3\n",
       "gDIa6jkLbwJ+A7yd5jWRS00SyWj0BWAWxHdB7RLvMCIiMnKbtTitF+kyRGnE7fPliHWHX1ZERNpk\n",
       "Vu7d0mTazU2m9SJVFkolfg3izyA2e3+IiIgsv46Xey8j9U+4i/59FQ4B/trpnTmpcmUheAcYuTgB\n",
       "4l8hTm1h4WCdxlnwDmAseAcwFrwDGAreAYwF7wDG2ir3huqzsCWpv8Lq+W/dE8Bh7exMZGi1ZyAe\n",
       "AvwC4gyo/d05kIiItOj13gEMVblloYfFr0K8TJcjREQ6zqzc+wH9360wCTjXamddpspCKcXxEP8C\n",
       "8T3eSUREKsas3Jvd4rReVOXKQvAOsHziNhAfgLj+IAuEbqZxELwDGAveAYwF7wCGgncAY8E7gLGO\n",
       "P5SprkZ6k2PdZKr7REcpjdrNwPeBs3Q5QkSk/A4C7gS+BHw5Dx/kmqhzqtyyUAFxPMRbIb7PO4mI\n",
       "SEWYlnsvBz6aP1tZ7qjLVFkovfhaiA9C3MA7iYhIBZiWezsB0/Lw2sCmljvroipXFoJ3gM6JJ0D8\n",
       "xYDLEcErTZcE7wDGgncAY8E7gKHgHcBY8A5gzKzPwvHAp4Fj8viKwI/a2ZlIm74CTKE6l79ERCpn\n",
       "DqlSMasw7VanLJ1W5ZaFiomvyZcjNvROIiLSw8xaFp4FlhbGV25nRyLLpzab9Brr7+vuCBGR8vkU\n",
       "cBZwN/BB4EbgKNdEnVPlloXgHaDz4jiIsyBOo5LH10/wDmAseAcwFrwDGAreAYwF7wDGOv5uiLqT\n",
       "gN1J74TYEvg8cE07OxNZPrXn87sjroVwOMxwziMiIqNBlVsWKizOhPg0xNuGeMKjiIgsq+Pl3u/z\n",
       "3ydJrQrFzz+BRcARnd5pl6my0JPiDIgxf56FeCLEPu9UIiI9oOvl3pqkpzn2sipXFoJ3ADvxSrg+\n",
       "5haGV0M8GeLD+U2Vu1akA2TwDmAseAcwFrwDGAreAYwF7wDGzPosALyW9GCmpaQWh1uAR4Cd29mp\n",
       "yHJ6Nzx4KbAf1B4D5kA8DngPcEpaJJ4G/BBqT7mlFBEZRb4A3AacAHyR9NyFz7sm6pwqtyyMUrEG\n",
       "cWeIP8+tDd+AuJl3KhGRkjAr9+YBEwrjE/O0KlBlodJiH8SvQ3wI4hUQ31KRSxQiIu0yK/euByYV\n",
       "xicB11ntrMuqXFkI3gGMhdYXjStB/ADEORDvgHgExFXNknVG8A5gLHgHMBa8AxgK3gGMBe8Axjr+\n",
       "BMfv5M/jwF+B6fnzlzxNpEfUnoba2cBrgA+T+tosgvhtiC9xjSYi0gOGapI9hFQDqS8zcPh8u1hd\n",
       "UzwmGVXiRsBHgA8AfyJVjK+G2tIhVxMR6W1m5d5E4JXAK+jfd6EKqnwZQloSJ6bHR8dbIM6DeCTE\n",
       "1bxTiYgY6Xi5Nw44EXiYdKvkLXn4pDxvOOcCD5DupBjoaNJtmJPzeB/wL9KbLWcBpxeW3SZvYz7/\n",
       "vi0OgPHAxXn6jcAmhXkHkzphzmPo1xpXubIQvAMYC53dXKxB3BHixRD/AfE7EF/a2X2MSHDcdzcE\n",
       "7wDGgncAQ8E7gLHgHcBYx8u9bwNnA8WOYKsB36d/oT2YnYCtWbaysBFwFenFVMXKQrNKBcBMYLs8\n",
       "fCWwZx4+nEal4gDgojw8GVgIrJE/9eFmVFnoXcFu03EKxC9DfADiVRDfCrGVN7R2Uujy/roteAcw\n",
       "FrwDGAreAYwF7wDGOl7uLaB5B8gxeV4r+li2EvAT4FW0VllYH7ijMD4VODMPXwVsn4fHAg/l4QOB\n",
       "MwrrnJnXa6bKlQVZbnECxIMh/hnifIgfh7i6dyoRkeXQ8bshlubPQC8OMr0V+wCLgVubzNuUdAli\n",
       "BrBjnrZhXr5uSZ5Wn3dfHn6BdIfGmsAGA9ZZXFhHZARqz0DtfOB1pMtZ2wF3Qzwd4st8s4mIdM9Q\n",
       "lYU7SNf+B3ofMLeNfa0EHAscV5hW75F5P+nyxNbAJ4EL6H/5Q0YueAcwFrq3q1qE2h+h9m5SR9+H\n",
       "gOsgXgNxb4hjDHYaDLZZJsE7gLHgHcBQ8A5gLHgHKKOh3g1xBHApcChwc562DanQf0cb+9qcdLlh\n",
       "Th6fkre7HfAg8Fyefgupn8EWpJaEKYVtTKHRarAE2JhU0RgLrE56X8US+n/ZGzH0Q6Smk96gCfAY\n",
       "MJvUukFhOxrXeB6vARwH8avwlS/Aq78Gb/s2xO/Cy++E258sV16Na7zj4wwzv9fHGWZ+r43Xh/sw\n",
       "VAN2BY4CjszDI9HH4B0Xi30W1iL1hQDYjFQhqHdKvInUN6HGsh0c630TptK/g+Ndef1JheFm1GdB\n",
       "OiBuD/FHEB+FeCbEV3gnEhEZROnKvQtJv/qfJfUtmDZg/l00Kgv7kZ4MOYvU2vDWwnL1WycXAKcW\n",
       "po8HLqFx62RfYd60PH0+zS+l1JXupEkvi+tB/ALE+yFeB3Ffo0sUIiLtUrnXhiqftOAdwFjwDjC4\n",
       "uCLEAyH+AeIiiJ+GOHnY1foLBsHKJHgHMBa8AxgK3gGMBe8Axjp+N4SItKX2HNQuhNobgHcCLwcW\n",
       "Qvw+xFc5hxMRkRGqcsuClEpcB+LnIC6BOAPi/hCH6mAsImJB5V4bdNKky+I4iAdA/B3EeyH+N8S1\n",
       "vFOJyKihcq8NVT5pwTuAseAdYPnFrSGem++iODeN/1vwStUlwTuAseAdwFDwDmAseAcwpj4LIr2l\n",
       "NgtqhwJbku7cuRziDRDfBavpLgoRkZKocsuC9Jw4FuI7If4W4mKIn019HUREOkblXht00qSk4qsh\n",
       "np0vUZwPcRvvRCJSCSr32lDlkxa8AxgL3gGMhfQnrpmf03BPfm7Dgek5Dj0veAcwFrwDGAreAYwF\n",
       "7wDG1GdBpHpqj0DtRNK7VU4CDgMW5SdFrusaTURklKhyy4JUVnwlxLPyJYofQtzOO5GI9AyVe23Q\n",
       "SZMeFidD/H8Q74Z4E8T3VOQShYjYUbnXhiqftOAdwFjwDmAstL5oHANxb4jXQvwbxBMgrm+WrDOC\n",
       "dwBjwTuAoeAdwFjwDmBMfRZERqfai1C7HGq7kV4jvzZwO8QLIL4eYs05oIhIT6tyy4KManENiJ+A\n",
       "uBDinyAeBHG8dyoRcadyrw06aVJxcQWIb4X4a4gPQPwSxA29U4mIG5V7bajySQveAYwF7wDGQuc3\n",
       "Gf8D4mkQ/wHxYohvdLxEEZz22y3BO4Ch4B3AWPAOYEx9FkRkKLW5UPsosCnwe2A6cDPEaRAnuEYT\n",
       "ESmxKrcsiAwjrgBxL4hXQnwQ4lchbuSdSkRMqdxrg06aCABxS4in5EsUP4X4Jt1FIVJJKvfaUOWT\n",
       "FrwDGAveAYwFn93GVSEeAXEuxDkQPwBxJYMdBYNtlknwDmAoeAcwFrwDGFOfBRFZXrUnoPZdYCvg\n",
       "U8C+wD0Qvw5xE99sIiI+qtyyINIhcXOI34T4CMRLIe6sSxQiPUvlXht00kRaFleB+BGIt0O8DeIH\n",
       "Ia7snUpERkTlXhuqfNKCdwBjwTuAseAdYHCxBnE3iP8L8WGIJ0PcdIQbCRbJSiR4BzAUvAMYC94B\n",
       "jKnPgoh0Qy1C7Vqo7QPUX4/9p1x52E2XKESkaqrcsiDSRXHlfFniLxD/mi9XrOKdSkSWoXKvDTpp\n",
       "Ih0Va7kD5KW5Q+S3IL7EO5WI/JvKvTZU+aQF7wDGgncAY8E7wPKLm+RbLh+C+AuIu6enRgKVOL4h\n",
       "Be8AhoJ3AGPBO4Ax9VkQkTKp3QO1zwCbAD8HTgJuh/h7uOIMiL9Kr9IWkbIb7R2RIjoHIl0Sa8BO\n",
       "wE+AdfLEJ4EbgDuBeYXPEqgt9UgpUnFtlXujvaBUZUGk6+KVwF7An4GPABsAWw74rA7Mp38FYh5w\n",
       "J9QedQgtUhWlK/fOBR4Abmsy72hgKTC5MO0Y0j8Oc4HdC9O3yduYD5xSmD4euDhPv5HU1Fl3MI1/\n",
       "XA4aIqP6LPSu4B3AWPAOYCeuARdfN/QliLgaxG0gHgjxOIg/hvhniP/MfSB+D/E8iMdA3B/iKyBO\n",
       "7N4xDCt4BzAUvAMYC94BjJWu3NsJ2JplKwsbAVcBd9OoLGwFzAbGAX3AAho1n5k07uW+EtgzDx8O\n",
       "nJ6HDwAuysOTgYXAGvlTH26mdCetg4J3AGPBO4Cx4B3AWGhvtViDuF5+K+YHIJ6Yn+9wB8RnIC6C\n",
       "eDXE0yAeCXGP9MCoOKaT4VsQury/bgreAYwF7wDGSlnu9bFsZeEnwKvoX1k4BvhMYZmrgB2A9YE7\n",
       "CtOnAmcWltk+D48FHsrDBwJnFNY5M6/XTClPmoi0I47N77HYC+LHIZ4O8VqI90L8V37+w88hfg3i\n",
       "oRB3hLiOHiIlo0xb5d7YTqcYxj7AYuDWAdM3IF1KqFsMbAg8n4frluTp5L/35eEXgMeBNfO2iuss\n",
       "LqwjIpVVe4HUkrgQ+FX/eXElYAsafSLeDBwGvBSoQRzYNyJ/ak91KbxIqXWzsrAScCzwlsI01ejt\n",
       "BGCGcwZLAR1fLwt09fhqTwNz8qcg1kg/MoqdK9+V/74kPVhqYAdL5gGLoPb8EDsMVPf7C1T32KD6\n",
       "x9eWblYWNiddlqj/zzoFuJl0KWEJqS8DhXmL8/QpTaaT520M3E86jtWBR/L0UFhnI+C6IXJNBxbl\n",
       "4cdIfSdm5PH6djSucY1XcrxWH38YWJH0b8Gxafa4neFN68C1/wC2hPN3gdWmwjvWAjaAXz0ITy2G\n",
       "/f8I3AlHrQS33Ae/uzRvtwTHZzLOMPN7fZxh5vfaeH24jxLro/ndENC8g+OKwKakZsR6q8NNpApF\n",
       "jWU7ONb7JkylfwfHu0idGicVhptRnwURaUOcAHEriO+A+BmI50C8AeIDEJ+AeAvECyGeAPE9EF8H\n",
       "cXXv1CKUsNy7kPSr/1lS34JpA+bfRf9bJ48l3QUxF9ijML1+6+QC4NTC9PHAJTRunewrzJuWp88n\n",
       "3UY5mNKdNBHpdXESxO0gvhfiFyFeBHEWxCch/h3i/0E8G+KnIe4L8WUQx3unllFD5V4bqnzSgncA\n",
       "Y8E7gLHgHcBY8A5gLCw7KdYgbphftPUhiN/I78yYl2/7XJgfgX0KxCNIr/veuPA+jbII3gGMBe8A\n",
       "xnribggRkVGqFkl9qpYA1/efF8eRLsFuSbpD41XAO/P4JIgLWLaT5TyoPdKl8DLKjfa7EUr32EsR\n",
       "kf7iqvS/7bP+eSnptvEBFQjmAQvyHSAiA+ndEG1QZUFEelSskV7I1awSsRnpcftN3q3BPVB70SOx\n",
       "lILKvTaoz0LvCt4BjAXvAMaCdwBjwXf3cSzEzSDuCfEoiN+FeA3Ee3L/iNshXpYfl/0BiDtBXLfF\n",
       "p1kG6/TOgncAY+qzICIikJ9meVf+XNV/XlyJ9Nybl5JaInYEDs3D4wpPsyxe2pgPtSe6FF5KaLQ3\n",
       "Rag5RkTk3+LAp1nWP1uQHloXgTHAc6SH/zznErO5MrYUly3TTlD7D9RnYcRUWRARGVZcgfQE3StI\n",
       "d2oA/Bk4yy1Sf2X8d7yMmY6G2paUM1upla3W10nBO4Cx4B3AWPAOYCx4BzAWvAPYiFfC9RHiTIiD\n",
       "PRm31wXvAHbilbRZ7pXtYR8iIlJe74YHrwd2h9pj3mFkxN7tHaBXVbllQUREZCC1LIiIiEjnqbJQ\n",
       "XcE7gLHgHcBY8A5gLHgHMBa8AxgK3gGMBe8AZaTKgoiIiMgQ1GdBRERGE/VZEBERkc5TZaG6gncA\n",
       "Y8E7gLHgHcBY8A5gLHgHMBS8AxgL3gHKSJUFERERkSGoz4KIiIwm6rMgIiIinafKQnUF7wDGgncA\n",
       "Y8E7gLHgHcBY8A5gKHgHMBa8A5SRKgsiIiIiQ1CfBRERGU3UZ0FEREQ6T5WF6greAYwF7wDGgncA\n",
       "Y8E7gLHgHcBQ8A5gLHgHKCNVFkRERESGoD4LIiIymqjPgoiIiHSeKgvVFbwDGAveAYwF7wDGgncA\n",
       "Y8E7gKHgHcBY8A5QRqosiIiIiAxBfRZERGQ0UZ8FERER6TzLysK5wAPAbYVpXwLmALOB3wAb5el9\n",
       "wL+AWflzemGdbfI25gOnFKaPBy7O028ENinMOxiYlz8HdeJgelDwDmAseAcwFrwDGAveAYwF7wCG\n",
       "gncAY8E7wGizE7A1/SsLqxaGjwTOzsN9A5Yrmglsl4evBPbMw4fTqFQcAFyUhycDC4E18qc+3EyV\n",
       "L0N83DuAMR1fb9Px9a4qHxtU//hKdxniBuDRAdOeKAyvAjw8zDbWJ1UwZubxHwD75uG9gfPz8M+A\n",
       "XfPwHsDVwGP5cw2NCsZoMlgFqSp0fL1Nx9e7qnxsUP3ja8tYh31+BXgf8DSwQ2H6pqRLEI8DnwN+\n",
       "B2wILC4ssyRPI/+9Lw+/kNdbE9hgwDqLC+uIiIjICHl0cPwssDEwHfhWnnY/qf/C1sAngQvof8lC\n",
       "Rq7PO4CxPu8Axvq8Axjr8w5grM87gKE+7wDG+rwDlJFHy0LdBaQ+CADP5Q/ALaR+BluQWhKmFNaZ\n",
       "QqPVYAmp0nE/6ThWBx7J00NhnY2A6wbJsJBq91s42DuAMR1fb9Px9a4qHxtU+/gWegdopo/+HRe3\n",
       "KAwfCfwwD68FjMnDm5EqBPXrRjcB2wM1lu3geEYenkr/Do535fUnFYZFRESkZC4k/ep/jtS34FDg\n",
       "p6TKw2xSp8R18rL7AX8h9Vm4GXhrYTv1WycXAKcWpo8HLqFx62RfYd60PH0+1a4hioiIiIiIiIi1\n",
       "PYG5pFaGzwyyzKl5/hxSJ8teMtzxBdKdIvUHXn2ua8mWX7MHew3Uy9/dcMcX6N3vDlJ/oeuBv5Ja\n",
       "Do8aZLle/A5bObZA735/E0iXgGcDtwP/M8hyvfjdQWvHF+jd769uDCn7FYPM79Xvr+PGkC5f9AHj\n",
       "SP9hvGzAMv9Jo6Pl9qRLGr2ileMLwOVdTdU5zR7sVdTL3x0Mf3yB3v3uANYDXpOHVwHupDr//7Vy\n",
       "bIHe/v5Wyn/Hkr6XHQfM79Xvrm644wv09vcH6e7CH9P8OEb0/VX93RDbkQrTRcDzpE6Q+wxYpvhw\n",
       "p5tInSHX7VK+5dXK8UHqHNqLmj3Yq6iXvzsY/vigd787gL+TKrAATwJ3kJ6DUtSr32Erxwa9/f09\n",
       "nf+uSPph8o8B83v1u6sb7vigt7+/KaQKwdk0P44RfX9VrywUH9wEzR/Q1GyZKfSGVo4vAm8gNTNd\n",
       "CWzVnWhd0cvfXSuq9N31kVpRbhowvQrfYR/Nj63Xv78VSBWiB0iXXG4fML/Xv7vhjq/Xv79vAZ8C\n",
       "lg4yf0TfX9UrC60+Q2FgratXnr3QSs5bSNdXXw18B7jMNFH39ep314qqfHerkO6E+hjpV/hAvfwd\n",
       "DnVsvf79LSVdapkCvInmL1jq5e9uuOPr5e/vbcCDpP4KQ7WOtPz9Vb2ysITGmy3Jw4uHWWZKntYL\n",
       "Wjm+J2g0t/2K1Ldhsn20rujl764VVfjuxpFuk/4Rzf+x7eXvcLhjq8L3B6mT3y+BbQdM7+Xvrmiw\n",
       "4+vl7+8NpMsMd5MeY7AL6d1KRVX5/jpiLOlpVX2k61LDdXDcgd7qpNPK8a1Lo/a4Hal/Qy/po7UO\n",
       "jr323dX1Mfjx9fp3VyP9A/WtIZbp1e+wlWPr5e9vLRoPs5sI/B+Nl/XV9ep3B60dXy9/f0Vvpvnd\n",
       "EL38/ZnYi9RTeQFwTJ72ofypOy3PnwO8tqvplt9wx3cE6dau2cAf6P/yrrJr9mCvKn13wx1fL393\n",
       "kHqXLyXlr99+thfV+A5bObZe/v5eSWqGnw3cSrr2DdX47qC14+vl76/ozTTuhqjK9yciIiIiIiIi\n",
       "IiIiIiIiIiIiIiIiIiIiIiIiIiIiIuVTf/TvJsCBHd72sQPGf9/h7XfaIaTH5XbSyTR//HAr3gy8\n",
       "fjn338fQr05vx3jSw4Gq/mRd6UH6j1LERv0Z65sC7x7humOHmX/MgPE3jnD73ba87wsY+O/UqqRn\n",
       "+c9oc3s7kx6HOxLDfSed8CzpTaT7dmFfIiJSAk/kvzcCj5Ge8PcxUsF3EjCT9NS0D+blAqmg+F9g\n",
       "bp52GfBn0lPkDsvTvga8kLf3wzyt3opRy9u+jfRUuncVtj0D+AnpVco/GiTzjLz9m0hPBd0xTz+E\n",
       "/i0DvyAV1vV9n5gzXkN6yt1vSY8hf3te5uB8LNcD84AvFLb13ry/WcCZNCoGT5JaD2azbMH+XuCr\n",
       "hfFdSU/juxU4h/Toc0iP560/y3/bvP9NgL+R3qEyi1TRWpv0MqiZ+VPf3/Gkc/w74McDMvTRaFmY\n",
       "AJyX938LjRaPwaYfQvqem52P7Unfk4iIjAL1ysLA57J/EPhsHh4P/IlU8ARSAblJYdlJ+e9EUsFU\n",
       "H3+C/urj+wNXkyoN6wD3AOvlbT8GbJDn/YHmrRHXkyobkB5dfE0ePoT+lYUraFQWlgJ75OFL8/7H\n",
       "AK8iFcb19e/P+SfkY9mG9B6Ty/PyAKcD7yts951NMgKcAeyXhycA9wIvyePnkyplkF6iM7CyAHAc\n",
       "8MnC9i6gcT42pvGq4uNJ38/4Jhn6aFQWjgbOzsMvJZ338UNMP4Tm54M8f9S+zEfKqxtNayKj2cBX\n",
       "wO5Oei59vSBcjVTQvUD6VXtPYdmP0WiS3gjYIi8zmB1JBV8kvZ72t8DrgH/m9e7Py80mFXbN+jpc\n",
       "mv/ekpcZznPAr/PwbcAzwIuklobi+lcDjxb2sWNebhtS6wmkStHf8/CLpDc6NlNvHYBUCN9Ner49\n",
       "pMrCEcApw+Qufi+70f8FbKsCK5PO4+WkywNDeSNwah6+k/QdbjnE9Ejz83Fz3tcKpErEM8PsV6Rr\n",
       "VFkQ6b6P0vjVXheApwaM70pq1n+G9Kt4wjDbjQz+fvpigfcig/+//2yTZV6gf7+BYo7nC8NLSZWH\n",
       "+vBg+6gVcp3Psh02IR3zUH0dButvVdx2MfdQ565Gav5/rsm8p5tMG2wbI5k+cJmlA8aXt5+HSEep\n",
       "g6OIrSdIv1Trfg0cTqMg3RJYqcl6q5F+eT4D/Af933j3PM0L4huAA0j/X69NulQwk9YKrKEsAl6T\n",
       "t7MR6XW9I/UWUrP7RGAfUj+A35BaWNbOy0wmXQYYTv3yCqRf7H3A5nn8faQWlXrubfPw/oX1B34n\n",
       "VwNHFcZf3UKGohuA9+ThLUnHMHeI6TWWPR/1Vp7xpIracK0ZIl2lyoKIjfovwzmkf/xnky4rnE26\n",
       "Jn4Lqdn+DFLBH+n/a/KqPP124H+APxbmfY/Uaa7ewbG+3s/z9DmkgvhTpMsRA7dNk/GhjuF3pKb+\n",
       "20nN+zcPsZ3YZDiSKi0/y9l+Sjr+O4DPkQrrOfnvek22M9DvaFQCngGmkToF3kpqTTgzzzsh5/1T\n",
       "nl7f5hXAO2h0cDwqb28O8Ff6v8J3qBz1eaeT/i29FbiI1KHz+SGmD3Y+ALam/3ctIiIibViFVAHo\n",
       "VYcw+HMnvkqqyIiUiloWRKTXPEnqw7Gzd5A2NWvpgXQJYkfSbaYiIiIiIiIiIiIiIiIiIiIiIiIi\n",
       "IiIiIiIiIiIiImLj/wOpnapauIYPwAAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa750d6c050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Outer loop: 5 iterations\n",
      "\n",
      "Z in [-0.163777932525, 1.04219698906]\n",
      "Sparsity of Z: 3,934,466 non-zero entries out of 19,072,000 entries, i.e. 20.6%.\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfEAAAFCCAYAAADhbOSmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJztnXnwbVdV578/8hKaSULAIpAEH4LI0CQKyuDECwJGRKAH\n",
       "gS7ACHaV3TjggAJa7XuUZTcEbIe2kVYhRgUkKk2TLpRE+j1RQEAgCRBiCBohaKKCIE4M5vYf55z8\n",
       "9ltvTXufc+69577vp+pXv3vP2XvttffZ01p7nd8PIIQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGE\n",
       "EEIIIYQQQraeCwBcC+DDAJ6/YV1qOAfAUQAfBPABAN/XXz8DwBUArgNwOYDTizwvRFfPawE8rrj+\n",
       "UADv7+/9bHH9tgBe11//IwBfMnUlGjgFwPsAXNZ/3+X6ng7gtwB8CMA1AB6O3a7vC9H15/cDeA06\n",
       "/Xapvq8CcHOv28C66ndhX8Z1AL59fFVSaPV9Kbr+fBWA1wO4c3FvF+s78EMAbkH3vAeWXt+t4BQA\n",
       "1wM4COBUAFcCeMAmFargTABf0X++I4A/Qaf7RQB+pL/+fAAv7j8/EF39TkVX3+sB7PX33gXgYf3n\n",
       "N6Hb2ADAcwC8vP/8VAC/MXEdWvhBAK8G8Mb++y7X9xIAz+4/H0A34e1qfQ8C+FN0ExXQTVYXYrfq\n",
       "+/UAvhLHT/LrqN8ZAD6CboNwevF5brT6PhbAbfrPL8bu1xfoDK7fBfBn2F/Ed6G+W8Ej0TXuwAv6\n",
       "nyXyBgCPQberu3t/7cz+O9Dt+kpPw+8CeASAe6DbGQ88DcArijQP7z8fAPDXk2tdx9kAfg/A+di3\n",
       "xHe1vndGt6hJdrW+Z6DbiN6l1+UydBP+rtX3II6f5NdRv/8A4BeKPK/o862Dg9AtUwD4NwB+vf+8\n",
       "y/X9TQDn4vhFfOvre5s4yVZwFoCPFd9v7K8tjYPodoDvRDch3Nxfvxn7E8Q90dVvYKirvP5x7LdB\n",
       "2T5fAPBpHO8OWjc/DeCH0bmlBna1vvdGN0gvBvBeAL8E4A7Y3fp+EsBPAfgogL8A8Cl0buZdre/A\n",
       "3PW7qyNr0zwbnaUJ7G59n9SXf7W4vvX1Xcoivtq0AhNwRwC/DeC5AD4j7q2wG3UEgCcA+Ct05+F7\n",
       "Rppdqu8BAA9B5z57CIB/wIleol2q730AfD+6Dek90fXrZ4g0u1RfjV2vX8mPAfgcutiHXeX2AH4U\n",
       "wOHimjV3bR1LWcQ/ju68YuAcHL+j2XZORbeA/xo6dzrQ7ebP7D/fA93CB5xY17PR1fXj/Wd5fchz\n",
       "r/7zcCb7yenUr+JrADwRnUvqtQAeja7eu1rfG/ufd/fffwvdYn4TdrO+XwXg7QA+gc7KeD26465d\n",
       "re/A3P33E4qsTc9z3wHg8QCeXlzbxfreB92m9Cp089bZAN6Dztuyi/XdCAfQBQEcBHAalhXYtgfg\n",
       "V9G5mEsuwv5ZywtwYuDIaehctR/B/q7wnejOWvZwYiDFcNbyNGw+0GvgUdg/E9/l+r4VwP36z0fQ\n",
       "1XVX63seurcsbodOz0sAfDd2r74HcWJg29z1OwNdfMXp6GIOhs/r4CCOr+8F6N5AuJtIt6v1LdEC\n",
       "25Ze363gm9EF1FyPLthgKXwdurPhK9G5mN+H7mGfgS74S3tl5UfR1fNaAN9UXB9eabgewM8V128L\n",
       "4FLsv9JwcPpqNPEo7Een73J9z0NniZev4+xyfX8E+6+YXYLO07RL9X0tuvP+z6E723wW1le/Z/XX\n",
       "P4wu6n8dyPo+uy//z7E/Z728SL8r9f0s9p9vyZ/i+BiMpdeXEEIIIYQQQgghO8tS/yobIYQQclKz\n",
       "5L/KRgghhKydbXrF7GHoFvEbAHweXUTfkzapECGEELLNbNMivit/lY0QQghZCwc2rUBB+BeQzjvv\n",
       "vNVVV121Dl0IIYSQbUL9K3LbZImHf83mqquuwuHD3V/GO3z4MI4ePYrVaqX+ADjhu7zW+lPKKeVG\n",
       "8mW+Mr+m7+HDh8P6SLy6WuVk2m8dP2V9p35Om6xXpF+NnlFf0/pYiw41fdm7Xn4fxm55b4r+J+ug\n",
       "jS1ZVtT2mTGkfS6vDf3Zw3pmGX29umXqqqWJ2sHTOzt+LZlRPbxnW1OulUfKjvr10J+tNvH6pten\n",
       "VqsVjh49etxa57FNi/gfA/gy7P9Vtqdi/w+F3MqRI0du/X3o0KG1KUcIIYSsg0OHDh231nls0yL+\n",
       "BQDfA+DNAK5B93+KP6Ql1HZVe3t7bhprN9ZCtNuV+uzt7WFvbw+r1erW69aurZT7ohe9KKyPZx0M\n",
       "5ZZlanKkvlp5S8TafW8LpWUK4IRnNVA+m4ylqX0uZWnyPDk1963+VX73+qOWLsKyeMr7ZVnlWIws\n",
       "NOvekNezjuX41dJKHaI08lr5Y7Wr1y7ys+wb0Twq++vwvfwt50KZP6qH1Em2R2ZMy+elIWV648Qq\n",
       "3xpzXn+WfWrIY/VPyTYt4gDwOwC+HMB9Afy3DetC1szJ5llhfckucbI9322p72L+3VrPytqZZHct\n",
       "60LuqoATd5E1MqJ0g/wyX8biqi2LzIdmhQ/Xp3o26ygjo0ON9TSmHMCu6xj5Vl5trMu5QJsXasvK\n",
       "XqulRq7lNZJ1L9No96PyrO+tc+mYdq9NK/uDV66nY/996wPb0mhuCa0jZOSU7h7p+mnVZdBHe2je\n",
       "g5aftTpZOlquN+mWq6UlzzrkbqteY8uz3JpTEblDNZ00xqSJxkCZTo7PGqJypPxI7+Ge5jIuZVoL\n",
       "kDbRZ55t5tlELtsIaw4qy9eOYsoyrT6r1dFy8WvXrDaqMXBq71nyo/nXk5Ppjxl5kkUu4oQQQgjZ\n",
       "cXf61G7IdbqbrfoA8wVnTV3HdcjbhWOAqA6RNbdJLLfpnGXNmX+qNGU6z9XquY3Hlr8NZF3j2fxT\n",
       "6gWsby6d6Ghod9zphBBCCFnoIp49k5hzB6ddy56lZa5b9dHO8bLnYK35Wpm6/df1jNeFFvSi0XpW\n",
       "Njcy/qImXws1cS/WObfV/2vTR+WVWDEp2tlv1DY11nrNvTFnx14+Lz5gjHwvPigjz/Po1lyP5FsW\n",
       "f2uch8YiF3FCCCGELHAR986Ko2s1ZZSfy12TtlvORphG1nWkk7WrkxGirVHBY3f4mftRuil2pnN7\n",
       "GKai5Sy51hNU0xaWp8aymjJRxJrFlH1bQpYv9chEBMtx451NR+eYmtdhkG+Vp+kk66eV59Vdwxv3\n",
       "EktX6/lb81OmTPncZdto0fwZr4B880arX6SPvG7NoZ4HQftueXWk/hldM890cYs4IYQQQjqWYbLs\n",
       "syp3RFH0X/b8KEuNPLl786KL5Y5X7nwt6z+TJkutRb5upn6W24C0AD2LENDfF15X/86MNyu9lTYj\n",
       "A9D/BkKtHMuajOobjVf53bNeNWuupj5euZbOkSUclZ1Jn9HB00frV165mb4Vkcnn6V0jz9PXm7OV\n",
       "8hmdTgghhOwSXMQJIYSQhbK4RdxzLcp0ra7GbCCPl0/qYQUpWG5yLfBBBnNorhetXcqACyvowgsU\n",
       "WSdWIEfL0UA20GeTRO7F4frY4xKrzLJfZN2BmbK94DUvOEimsdzgni7a+I3qZ332AuSi46xSNy84\n",
       "TPuutZGmSySnHNfW3GmNF+25a21lBZeVenvzqJRdzmWyrnI+9fqHLEM+Q63cMq02Di253nftupRp\n",
       "tbOVr2RxizghhBBCOnZiEa99zaBGXo2cMXpEwRyeZeOVI3fAQeDExpnCE6B5KrYRy3MimfPZZLwv\n",
       "mYAoibQEvbLnek5a0JWWJjNuvbGT0WGQEbWj1SY1z6DM741/KUvzttQ+9yG/lOGNSc/C9dqhFunJ\n",
       "yFja8l7UL6L+nBnvWZ0GdmIRJ4QQQk5GuIhvEZmd4ZRWy7ZbqmPZFu+CRVa/bXhOc+iw7udjxZlo\n",
       "WOfkXrqxTFVmTUxIVGbLc7didrI61ZY9RkfvXjaeI/vcrPtjxxYXcUIIIWShbLepciIrK4JXnu9u\n",
       "wnqJyrXuR/UZI8s637IiVce227raflPPeGrG1CPbR2rObzORxBmZNePR6ovlNS1+w5MfjYOoLK/u\n",
       "Xl3H0lqG98xqZY1NX5vXO3efs83Hys72mynoZfOPvRBCCCG7xOIW8cw5xbDbrj2fsM44NFkZ+TVE\n",
       "kcmlHpolYensRcFK+VPvIL02GxuJnbVK5LVtOifP6mLpLqNtZT+IovRl3yrzef0rg9a/rPp4sR9l\n",
       "P7bSR145zQMldZLyPf1LuVEf99pOG7dauVl5llytrlb5WV29sq3PWl0GfaL+JvON8Qx4161nIOug\n",
       "ydHO0r3nkEmbafPFLeKEEEII6Vj8Im5ZJ8Pnmp2QJSP7zmVGv4zeNdaUZNArk17bAY/Fi/wty4s8\n",
       "BFNT247rwuujXh/RrlsWllf28NuKyJVWT+tZqiaj5ozXs76idrL0l3pY1rsnV44h2ce9sZgZp1YZ\n",
       "kazIW2HlGaNrieZhsHSK5nBNl1a08VbKjPqpNmYGrHpmdZdzcbbNF7+IE0IIIScrXMQJIYSQhbI9\n",
       "UT45VkDdqwgeWoBYq7vQuheVIYNu5O/hniVX08EK2JGyyPxk+lQUuGU9Y2scaDKsvF4/yupfS1Zm\n",
       "pq9H+UqsMRaNT9lW1mdv3A3XhvTada3OtWVldJdtZelmlenJ1NJaZXh6e+0j72XHWCTPa4OMbK99\n",
       "rbKtvmgch/EVM0IIIWSXWJwl7lmfYyyGKS0Oz6Iqr9fsILMWibWby+zIaaWvF88r46WteVY13qY5\n",
       "PFFzEpXRqsNYr55lLcv02nVPdjTvRZZx5FGYguzcvAkPkCW/xgPmyRhbj8gLBFrihBBCyG6xuEXc\n",
       "2tmM3bV5FoX220uzWumvH8hyhp2olFnKK2VZOz2ZXuoRnLMcp0stLXkysqaUu41odR2eldYnZL/J\n",
       "ItN6eWvH0JSyWrDONrX2i4jOs6M8ln7W+LOuazLL8e/NP55Xx8rrzQ3enGdh6SDnKa0cKcd7jsO9\n",
       "Gt2ieVJLY+ko77d4biQ1Y7VkcYs4IYQQQjoWuYh71qv1PXOvdXdkWd2lrloa7/zauqftALPn5REt\n",
       "+by6e9e93XerLpEO6yBrvWgemfJ77dm05THyLCzts3avtHrktax+Wb2te9F9bZx61pzm6YieneUd\n",
       "ybaD9Uw9izzTn8p6es9F8+hlx1vNnKndt86OPe+idW/IVztOsvOjZXXLMRrl9crKxkJk+tYiF3FC\n",
       "CCGELHgRz5xbRTtSbZebORuy0ms7XXmmLXeS2k61lK1Z5Npvy9LPUpu+zFfinSNZ16z8ln7RWVnN\n",
       "9dZ0Fl78glWettO3rNSoTw9pPG+OZx1EEbrWZ887li1P68+ljDHeCqmnZqV7lp/ME+XV0mjjVsqX\n",
       "z02bO2rmHJleos0tms7efGvVUXuGMl+NlavpYfW5KL/XV2X7ybaPvB2eJ0ESPZuMjMUu4oQQQsjJ\n",
       "ziYW8XMAHAXwQQAfAPB9/fUzAFwB4DoAlwM4fQO6EUIIIYthE4v45wH8AIAHAXgEgO8G8AAAL0C3\n",
       "iN8PwFv6783UBjx4+TT3SknW1WIFTJT3xgR0bYJafccE3UWuaunCanGNey7VOfBc1ZG7ukyr9Z/o\n",
       "uEam19y1Hq1HI1Z5mus4k98LjtJ09fSyjqYsnTJtptVPEs1BteWWc5HlgvbaaNDDC8DU0nh18Ppe\n",
       "pk6RPKvcljRSH+14I6NPzTGldZwWsYlF/CYAV/af/x7AhwCcBeCJAC7pr18C4MnrV40QQghZDvOZ\n",
       "GDkOAvh9AP8awEcB3KW/vgfgk8X3gRVg74I2bcVKyzoTVNRqgcvgJa3sKAhqG9qMHI/3TKz+NWW5\n",
       "NQE5tRZtTdoxnilP3iBT89po4ylKZ8nX9Mi0iTWepd5afcqys+0ir3ueCEuXmrpo90q9rbp6/SPb\n",
       "rmX6gciirmmXWu+D1tekjkJfdUI/oF1cE3cE8NsAngvgM+Leqv9ROXLkCADg0KFDOHTo0DzaEUII\n",
       "IRtkWOs8NmWJnwrg/wL4HQA/01+7FsAhdO72e6ALfru/yLfKnoeuC29nbJ1DynTD59pyI5maPpnd\n",
       "+JLIWq7bjLUTb9n5Z8oayrDKjvTMlB9ZJlnLacCzir0yLQtMyrbK1XSwvo/BkhVZ/TKvZa2XaUss\n",
       "S7hGR+++Y1WGz8SymMfUy7L+Nfk182aNrppsr+5lcdrFTZyJ7wF4JYBrsL+AA8AbAVzYf74QwBvW\n",
       "rBchhBCyKDZhiX8dgLcCuBr7LvMXAngXgEsB3AvADQCeAuBTIq9pia+L6HzHswqBnAUUndnINEO6\n",
       "zK5R08GrG5mPzHmZlzd7vprJlz0THotn9WT09OQOcrwx5VmtkV4Zb5tllXljT/uc0Vdi9Z/omUbP\n",
       "wKqnlta6lmmrqM2kbKvuFhmruaZ/ZPWMrP/Iw1XouzVn4n8I2wPwmHUqQgghhCyZTUen1zKrJZ49\n",
       "r2uVnTm7zezKxlpoUzLmbHaMnq2W6DZiWTxjrdOasjedLzrPnkqXFr2navdt8HxlPTE1+kVexTnH\n",
       "ea2OLXlby8zkjSx8Ye1vzZk4IYQQQiaAizghhBCyUBbnTr/1gxLkURuYk3HteW4m4zUAs9xIRuRm\n",
       "0WRrwTaWLp67a86jhJLouUzhqvLK2CYXe02be/1kuNbyDL0AIaufR+Mq0jvq+5ZeNcFEZR5Nhhcs\n",
       "Fo1tTz/vu1c3TW9Pj0imlkaiBVtp+a0+FrnPPd1LGa1tqsmI6qrl8567p1t53XreVv+z9LJk0Z1O\n",
       "CCGE7CCLs8S3xYoaiHZaXr6p6mLtVtetxyZYuv6SpdZnHUF3UwU5Zcu0PDrZYCRPrzGBZBk9xqBZ\n",
       "6NlyagLnsvlKXWrqsI48tbJqn7fwFtASJ4QQQnaJxS3i0TnLGFnl95pyVqv432RKudG50d7eif+K\n",
       "zro2lC918OpX6u7dn4pBtvxdkz/S3ypzm5H1Kp9d5vl58lr7cySrVV6mPClbtoNWrjemPD1rZJff\n",
       "ZZ/TLPeyLnKMZa55OliMsSIzfSZjFVuxDdHc5MVEtMR4WFawN/+sYy4py5jK6l/cIk4IIYSQju03\n",
       "VY5HPRPPnkNlyURM1pzr1JZp3R/K166XumnpamSugzna8GQlOm+slZOVm+k/nkVVGz/Scn6cKd+a\n",
       "P7Q8lm61+TxdZeR05jw6OseOyovy1D4r7fNATZt69R977q19trxiUZ2G9NHzqtFZKYtn4oQQQsgu\n",
       "sUhLfJusNW1nZu3IhntlPm3nHp3ryB1jiXavdoe5BLKWxhLq1GpRALEVHFm/Xn/yrN/Wts1artGZ\n",
       "qSZT+23VSX7Wvsuyo3GlEZUxRt+oPG2uyXryNLkyvVV2ZEVn6mPNWZYOtR4dS66mnzef16TT6pd5\n",
       "pmUVtIu0xAkhhJCFsjhLHJj//efWc63MuXbr+UiUvvVcdNus1V2ysDO09LWxfXudbeedZ0d1z5zJ\n",
       "Z7xVU4zjyAthWVVzt7XXvpvEs2q1dPLzOnUcU3bW4zqFrqAlTgghhOwWXMQJIYSQhbLoRbx0XbUE\n",
       "nVisVivV7WOVVeaLsALMpHyrDO2eFagRyZLpW9vLokVedBwh09SWMXUdx9Liahvjnht7xORd9wKO\n",
       "ynLLa54+Mm/WVW3J9559NIY0/T1dM+V641jLM1zTdPX0G9vnx47jUsfsXCTLzsy/NUx17KEdj1rB\n",
       "hWP081j0Ik4IIYSczCxuEbd2nN7uGMjvbErLdfgc7cSzsiML35KfyS93uRmLf26mDlKJnnGrjE2R\n",
       "tQyzeTL3rfQ1Hhvreo0nqhxbkdVZ44GxPFpWAFLG42VZiJ4HrSwv60mwXr+yxrhWrqyfds27F12L\n",
       "yrPqKOdRz7KumRNryNQ/6lfab+35yHpmLfLoWWssbhEnhBBCSMd2HRDGrKLXUbadsXpm8ls73iW0\n",
       "zy4TPTvP8pubqcfPFP18YO7xMqUcOfaiV+SA+j/tGpU3BRm5Xl0zebI6t9bLK2uqcmvrm9VPyh4u\n",
       "aXJoiRNCCCELZXGLuHVOsGQrs+asqqae2rkc2RzRM7CitaeObG05c6zVIeNxyORvecskG2uQPUuu\n",
       "0UPGCHiW2NgxOaWXQZKJdaiNhyjTRc8oE5Ogfbb0k1ZtFF+RedY13hlPP6v87Ny9uEWcEEIIIR07\n",
       "s4jX7qYy0a1TUbOrk1GPmchyLVKy5Uxxirpndshj5UayW3bWLX0lorbMqO1qrEYvnXXf+m3pno0w\n",
       "tsrP9BUrvsMqq5Qvdc2MDSuvds/SJRp7pR4Zz4usv6VPxlsg20LKmcProz1nr49GXpiWOADvTYHs\n",
       "Wy+ZcSHTSu+aNk7GelN2ZhEnhBBCTja4iBNCCCELZXGLuOZisVwSnptikOO5qSMsV5HmDpPucUvX\n",
       "6L6l7yC7/NHSeHXJpvXwgl3GuNcjt2dt/pr7re6uKLjLc4fW9mevbb1XXKQ+ml7ymqajVZdsYJdX\n",
       "36jfZOo3pNPK9I4uhjza+LDc89FYHdMX5bGbpnMk25ofvDIt+d6zzRxD1Mx7WpnZgMzMPG1ds9CC\n",
       "GD29LX0z48ljcYs4IYQQQjoW98degPW9LlXukKYIQLCsnKEMmc4LfJE7vYyO0c64pY5TtIsma672\n",
       "3iZqrN8amcBmXymcq09k0o1pt9pnoHkovP6bGc9TypX3a/vbmDaV/TBb95p6ZXSw5tWBjNdJa4Po\n",
       "+9T0OqvrNS1xQgghZKEszhKv2S1umyWW2XVa548D0e5vDmt7aUzRFzbZTpkz6DLdVGPAs5a08qM8\n",
       "mrdo3XhWV5lmynartXSzZY4Z21N4udYxJjJlTKVH9Ewynoh1WeS0xAkhhJAdZPGLuBfdOOWOqCZq\n",
       "0SKzm5ORrWUkqcwv02oRmFkdonxLYoq+sA6rsYySjSxG79pUY8BKW/bBmjzW92wfi9Jlo7HL3+VY\n",
       "yXoIsmNruOd5TDR5UldPvjzTjfJnz6Zleu2656WR3+Xv8r7XlpZnsVbfDNFz1/pOJGPKWJAsm1zE\n",
       "TwHwPgCX9d/PAHAFgOsAXA7g9A3pRQghhCyCTS7izwVwDfqIcwAvQLeI3w/AW/rvJ2DtYqMdXw2Z\n",
       "HVerXGuX7O2AZX65yx0spVJHz+r35M9lgWr10NJM4Qnw+kfNzj6bZwwZa1BacZaM7Lho0TGSE41L\n",
       "zdNQa5FHVpumizWWo/Ehx5L8Lutj9Zvyc2nZRc/bIjqflfc967zGw2DNUZYlqnleNK+AhTcuMvNc\n",
       "Bs9jUV7T5mlv/ppiHqup16YW8bMBPB7AL2P/sP6JAC7pP18C4Mkb0IsQQghZDJtaxH8awA8DuKW4\n",
       "dncAN/efb+6/E0IIIcRgE4v4EwD8FbrzcMvnsMK+m302aoO/IhdwjYvYc29FQU7ynuXu1IJMauo2\n",
       "JRkXWORmjPBcvlm5mp7b8Eqe5bId7mlpynsWGfdfNuAq6yLOuHAzRxmRy1ymHfq//GzJlWVYx1ma\n",
       "HtHRgvc5Or6w8sq6aukzY0zqEbmas0dQ1nxl1dtq81a3tVeOTFfqq/UZOSa8fhw91+hexCYW8a9B\n",
       "5zr/MwCvBfBoAL+Gzvo+s09zD3QLvcmRI0dw7Nix+bQkhBBCNkC5th05csRNO6/5FfMoAM8D8K0A\n",
       "LgLwCQAvQRfUdjpODG5bAbk/OhF9nwpLrnbd29Falor2aohmRVjWUlRW5h6ZB21nL++V3wfKPGP7\n",
       "da2cKcZRpkyrv2eCvjRLqcQaO1r62leerDKitF7Z1nj36iZ/R/pJHbz7luzsXKPVyftstYGsT0S2\n",
       "fa02jNrWm1c9fSueuypsG94TH2rzYgCPRfeK2aP774QQQggx2LQlXssqawVkLIbI4h1bzhTWjWVV\n",
       "WF4G63Orruv2YIzNn7Fq59SrFu95zVHGVDKy48uyzrL3vDwtestrlifMyuNZbVrZUvZYLK9EjUcl\n",
       "mgekzlqds7Kjtm7VcUw/iKznMbpFaVs9xL3OW2uJE0IIIaSBxS3ie3t2dGhJdqe0WuX/SIosx/uu\n",
       "7biyZ2RlWk037Wwou8st2yyqT0aeJT9iLmu3bJsWS2hdVvg62rrW8vF+vD5noVlgZR8uy5X3NGup\n",
       "xvrRdJXjU6uLrKt2Tiv10uSVabR5ykpvzWlR+ox8y8qWbWO1c41n09NZppFzevkMtPaw2tTTKetJ\n",
       "KHXI6q6VZ+kR3cusbZLFLeKEEEII6diZM/GpzhO1s66pZJdltJyLRLIyZ3m7gncOOfcZ89TUPqPa\n",
       "emXPF6fsK5bVN1yr6bdSjlen6HrlGaSqbzbvVH0vc55rzSnZ5ztVH/GuS52z9Z2zHWvLidoumttr\n",
       "+5HQl2fihBBCyC6xOEscyO/KI7xdUmbn7p2R1epQuzv20mR25VlZ62Rq/TZdnwjPOpmqT89Fq0Xh\n",
       "Xbf6MuBbTFkrMro/tu0863cMU7T1FOW1yLa8CEAuyn1qSzxbbva6lWYO7y1oiRNCCCG7BRdxQggh\n",
       "ZKEsbhGPXvUA2l47sGR6LpHhtZjhJypfex3BcxlJN5Smq/a6iJRV1sVrmykDA1uIyrfccta1Od3K\n",
       "Y+pZYvUbr097r59o/SFLtt9G17NY/bSUr6WR9Y/GqIaWt+xftXUrdZ2630XuX00HD60vZcobWy9t\n",
       "rszkmYqybPmMozklo4fsS2PHRzb/4hZxQgghhHRkFvHvB3BndIfqr0T3L0S/aU6lIrIWW3R/rt2z\n",
       "ZlFkLWRvZ+wFwEmsXVx2V9/KOoKqPK8FMJ2VXKvDWBlRcJa0HjP9fAqrx/J+ZWW3tpVVzzFjNmu9\n",
       "1/anuazXmnKzVnhtngxZ70X2VbOaQD7vu3U906esADevnDKdlz9Dtg0yi/izAXwawOMAnAHgmeA/\n",
       "JyGEEEI2TmYRH7YO34Lu/35/YD51cqzrrKFWlrUbHXb21q4x6xHI7gKz+maubxPbcBY+Jdk2n8Ly\n",
       "rEm7bW3a0u9b+7MVt9Kij2edtpy7R2V6VmlNnE6LXlOcxXt6jSk3Iz/7TGu8YDXXNaY8E38PgMsB\n",
       "PB7AmwF8EYBb0poQQgghZBYyS/0pAL4CwEcAfArAXQGcBeDqGfWyuHUbk4lkjaI1a17IH/OHAsr8\n",
       "mgz5RwIk0oq3LIMocj+qwxR/oGAKGXOUE70JsEmy/VSmm6NOUV8Ecv9MYqq+VJZRE30d1WGQa5Xh\n",
       "tXmZ3yrapr75AAAgAElEQVTPik7OjmXvXqbNtXp4cq1n6j0DKdOqu9ZnpWz52etj0f0MXl5vnGl1\n",
       "8vJ4n6UeVtsU39XOfCBR338B8AUA3wDg1KEO2MwiTgghhJCejCV+MYAHA/ggjnejP2sWjXxWc1hR\n",
       "rVZ2ZClElvmYfNmdX7bMpdGq/9LrXbINXg/POlk32f4dWTxRXaN6ZsZzZKlFMjIeg0hmtl6e9ZzR\n",
       "MWofT9+sXjVMKXedYxAjLPGHA3gQClc2IYQQQjZPJrDt3QAeOLcihBBCCKkj404/BOCNAG4C8Nn+\n",
       "2grAuTPp5GG60+cI7vFcR16eFnfbUI6VJpO3Rs5UbMqtnXU7bjNen5m6HjVHLHO1oRfE4wUvtRw7\n",
       "aWXX1M0KShuTr+U5GwFOJ+gTBWN5rneZ3usP2XnQqkekt6xzVtcMLUeQkYwo7xR9dviMEe70VwJ4\n",
       "Brr3w/lqGSGEELIlZCzxdwB45NyKJDluC9O6q8oEqWWp2ZlFu+pM8EqZ3pLvyfPqOKcVO5XlnZE1\n",
       "t0WZ0aFFhuddAE7sN1Efs9LVBBzJ69mgI4+st6qsR+a3pW+pZybvQGZMenmkVa6lL697baG1uVU3\n",
       "K6+WLqq/Vo4mP4vWVlodxvQvr+xoDsm2U408rx6e12FKS/x9AF4D4DIAn+uvrQC8PpGXEEIIITOR\n",
       "scR/pf8ttxIbecUMyO0Qx5K15sbq0LLLrdkt1ujaYl22WqQt54O1cue0xKfA86xM2a5zUHMOmE3j\n",
       "WbmRRTSkqT2D9Cy/Wo9ejeVWw1iLMDOXZfLVPNda70kkZwoyHpBaL1VtmlbGWuLfMaUyhBBCCJmG\n",
       "jCV+DoCfA/B1/fe3AngugBvnUsrh1m2Odvbknf1o1OzarZ26qmTirC2SocmT1zL5rXaSrOsMao4d\n",
       "tixvzjKmxNPXOnMF/Gfa4r3R0Pqcdm+MZSnHrayHVqY2Xr3rGcbknYromU5dVovcqE8MMudqP0/v\n",
       "yOuh9TVNRjRPW+NUq3e2vSpQE2feE78Y3Stm9+x/LuuvEUIIIWSDZLYBVwE4L3FtHaxqLKypz7O9\n",
       "3V353ZKZtSSse94u0doJe/rK8qx728KU54zbQIvutWdz6yhjTJqMLkDubzVoZWfHrNVenkct0isa\n",
       "Uy3zj1dm5NnIzklSp5YzcU1WzbOs8ZLW5tPm0cgbZqWp1Ue7X+ph5e3TNVvinwDwTHT/zewAunfG\n",
       "/yaRjxBCCCEzklnEnw3gKej+YttfAvg2bCYynRBCCCEFmUX8LADfCuCL+58noQt22xie6ypKJ+9L\n",
       "d4kVaKC5RWT+4XvGbSX1G8oty8+40mUZZT4tnZV33S7plsCX7NHAUpDPVj57+TnrxpN90iM7bmqf\n",
       "l+e+jepbW6ZXh0yQldZe0vVbfi9ly/xynEZjvLatPXeu1C0TJOcFWFlpZZpo7tLyy3bV6lLKtNo4\n",
       "+2y951Km88ZOzVxjBdJF461lXsws4j+fvEYIIYSQNeK9J/5IAF+Dzvr+Qewfqt8JucV/FqzgiDEW\n",
       "mWe5eumt1wmsXXImsMOSU17PBHhlA1k2RYtuUwS2bUv9gRN1iT7PoXdLsFAmTcbjE6XPWNFeWdly\n",
       "tGCmKDhL5pM6a/ODZblrZUfj1wtAk3pnnl/Waxf1WamX5zWMnm/U1pr8TL9rsXYzZWjrkQyGi/SV\n",
       "+TJ4i/hp6BbsU/rfA38H4N+npBNCCCFkNjJbkoMAbphXjTSr7M5ymxir79SvNMzZdkt7NlMz5nWc\n",
       "2l24l87Tw7PygJw1UBOT0KpnRt/W8r1r6+jDVvlA/dlri/U2lezWuWmKPt5KS1/bBIpnpfnPrv4j\n",
       "gJcBeCCA2/XXVgAePUK/0wH8MoAH9bKeBeDDAF4H4EvQbRqeAuBTI8oghBBCdprM2farAVwL4EsB\n",
       "HEG3wP7xyHJ/FsCbADwAwLm9/BcAuALA/QC8pf9+AlPulOTZyBAtqUVNyihML7JSUrNT1cqyznOs\n",
       "8j39Iiu9hrnlt+Yde+Y1huz5deY8XIv61cqScq2zOU1+1FatfSmTTurpjTlZh0iulcerr3Vm7X2W\n",
       "Y1VL57Wddm7ujWv5PTveamRaHpkxfUDr71bbeP0y6hNe+Z48zwuS6QM15Wnla/eyMSGZRfyu6Kzm\n",
       "zwH4fXRW8xgr/M4Avh7Aq/rvXwDwaQBPBHBJf+0SAE8eUQYhhBCy82QW8eF/iN8E4AkAHgLgLiPK\n",
       "vDeAv0b399ffC+CXANwBwN0B3Nynubn/fgK1Vm35PdrJDzthK4pQ7iS13XSNThLNErCiZIfPsl5W\n",
       "FGykg2fxR/pmGeNBqcm7LWdaES39IULru56Msg9ZfTwTVWtR4xXxxmN5P9tu2vcaT4mVV56dS5nW\n",
       "PJHR1dMtegbRXJGVacmdYvxac5WlQ9Q+Nd6gsl3Kz5lnZHkhIi9Zds2x6pKpX2YR/0l0Z9g/BOB5\n",
       "6KzyH0jksziAbiPw8v73P+BE1/mq/yGEEEKIwSYOD88E8A50FjnQ/YvTF6I7cz8fncV/DwBHAdxf\n",
       "5F0dPnz41i+HDh3C+eeff9yueN0oEYSqPtqZpJVH/rbKLYl2hVb5Wj12hW2vk/acvWefTReVCdhW\n",
       "ZeacdUybWuVb6QasMaV918akh+eB0p7BHETWXo0XouYMW84LtZZlVLb8XMrw0mXnUq9e3jwr9fF0\n",
       "98ZFZl7ViJ6TQXN0+tTcBOBj6ALYrgPwGAAf7H8uBPCS/vcbtMxHjhxZi5KEEELItrOJRRwAvhdd\n",
       "1PtpAD6CLljuFACXAvhO7L9iRgghhBCDzb2L08at/oqsS7oFzc3R6irR5FoyIlehJjtyh1luIilz\n",
       "XUzxfLKyl+BOB9pf05HXW+ob9RfL3e/po8m33N5luVm9LLlSvpRT4zLNuJUtF7CXL6Or5Wr12szS\n",
       "o2ZOkfpmXOM19ZFEc1lG55p+7x3leH3S6/PRnJo9PtLqpiXRLnqBbbdF59Z+TP/96QD+J4DvBnCq\n",
       "k48QQggha8CzxF+DzsV9e3R/Oe2OAF6P/UX9wnlVU1EtcaDeQtDyZa5r6QZ9WiylFmvYC+gZ8L57\n",
       "XoWxlus2WL/boEMG6zlG6bPPyup3mSCdgRaLQt7PjM0oeMm6F3m9stZk1iK07mmya8d91GaelZfx\n",
       "atRYlpn0GcvZq4vngZDyvbbSyHgdWuaIyLNj6Rk9Q5nXmLurA9se3P8cAPAXAO6J7g+z/DqAq/2q\n",
       "EkIIIWRuvEX8Nuhc6rdH9zfT7wzgEwD+FTb4r0gzO9qac5KsFW7t3mrK0NLWWFNDeut7tCP36jrW\n",
       "c5GtTyRjLiu69vxsTl0GpD5RWdZztvS05Frl1DyTyLK2LC/LmvJ09Cwy7Xu2PbTyM8/cK1+ztixd\n",
       "onppelvjOxqTngch6oNWOdn5rFXmmHmmtr963ip5L+rvkT6ZOtbMO94i/usAPgTg8+j+0MsfAHg7\n",
       "gEdg/8+jEkIIIWRDRNHpB9H9//BPArgPgK9C989KrppXLZOVd5aT3U2v+8x0buuy/D6wzvqtg22y\n",
       "oKei9qw6a3FOpc+YslrOwVtZQt+ojX9Ypy5zyvLOplt125ZnuO6y0XAmDhz/f8Q/0v8QQgghZAvw\n",
       "zrbPBfBHAG4E8Is4/p+evGtOpTy0KEPtbMk6mxjuR2WUsqUsec/SY7hmnZdEebUyZT1KHcozR3lm\n",
       "6uln6bYJMmdKEd751KbqZZHxnlgxC57VXqvDFLEOWvroGXj6yr6Z7RtSfjnONKswMwa9ecBLVxtL\n",
       "E41HS0dvvpJEZWd10mRFMqJ0WryHzFfOe1lkP6gl8pKVZVj3te+ZciO8RfwX0P3/8Aej+/OobwNw\n",
       "3/4e3xMnhBBCNoznTr8TgN/tP78MwHv678+YWylCCCGExHi2+lUAvgHAp4tr56L7gy93AXDXGfWy\n",
       "WGnum00GMZXundoAD+11lJpyS+TrR9YrPnMHGZF6vOcW5Wktyyt7TrLltARpRsFj2fb1ytbuySM+\n",
       "Oa69POV1LU9WR00Hqx00WVaAbKautWVYR4yaTFl+JC+ql5enZt7U7mt6aullXTOu+uGSJttzp18E\n",
       "4IHi2tUAHg3gfzv5CCGEELIGtivKJ+YESzxLq8VrydJ2plaa6NrA2N2ypMbiqt29k3FEltNwT8uX\n",
       "2cXL9NH9TTzvqcakZy2VZMdD1hIv00Rlleksyy1riXtBYVrdvDkqqmM0V7T0H89LEVningciU27U\n",
       "Ht6z0cZdtq0iS1zWUWtfNFjiHr/YmI8QQgghE+GZc2c4ea4GcNb06oRUWeItZ0G1VkFmJ5jZrQ33\n",
       "xloVVpop6jElS7L059I1sgaN3Xj1c23p09GZp2Y9jNHNKlOWMWZ8ZuRlvCIt1ldLfqsuVj6tbO96\n",
       "rV5WeUN6z4LN6helk2mzc3iNt6tFJytvtp5a/lI/zxL3otP/BsCfG/e+2KsAIYQQQubHs8SvB/CN\n",
       "0BfyjwE4ZxaNfFYZi6TGAh9j5WTke9drzzWj9C27y6nJ1n1M/trd+RxMUUaNlQLYZ56e3NqzylrL\n",
       "cMwzzeaLfteUn8k7Zf8Z23Y18rNz2DrHSqu1v+4xnPFU1Oo4tg7Ks60+E/8ZHP9X2kpe2qwZIYQQ\n",
       "QiZhZ6LTN33GOsbaANrfhdXu1VoeS2SJ9YmssqyHaS5LcUr53lly1nouWWcf1qzF7DmsfJZSjlZO\n",
       "jeUs87V4EmstyIzF6pWt6ZvVJSO/pR5TUesdarH0i740aXQ6IYQQQjYMF3FCCCFkoSxuEd/b0/9L\n",
       "kPwuf1v5a+55Og1uD688TW/pkor00HQZ0g+yNHeNpV+2jmPztMj28NyTU5fVSuRSlc98tVod5z6z\n",
       "8mfqnn3OUYCgVZeojS33r9UG3tjQ3NNW3kyaTP+Qz0LeK8dSWSfpUtXqLMso9dL0Lcsr+0lZdvnM\n",
       "ap6NJHLxan2w1Meax6x6Rs92DLIeUsfauctbUyxXujcHaG0mZWr1kGQX8S/qf985mZ4QQgghM5Nd\n",
       "xI+J31uDtduydjE1O+NaHbT82s7L01u7B9jBNjK9Z2VF9bN2xR7Z9poqUCpTRk1Zc1rtrXWOdvNe\n",
       "nkyZGUtr+GyVXVPOGMsuGhcZ+dJCqunnXh2scRrV22tTy6Ib7kV1bZ3DShmZazWyrLpID+KA9rxq\n",
       "2zKjV2u+zJxeE4w3ts2zi/h2+CcJIYQQciuLOxMH/HO8GrxzPnn+oZVZu5u3ytTOaiIPg7ZbHX6X\n",
       "52dW/TK6ngxssr6Zc9NaLOvGSy/1ydybgmz/VF61cXXyxnFUpmy76CxdnmNLPVviW7KemIxuGRlW\n",
       "jI3MWzt/aHNb2T7RmbB2z5rbMsh81lwpP9fEG5SytfJbdI5Y5CJOCCGEkAUu4jU78ows67tm+Wpp\n",
       "s1Gv0kLS8klrOkO5Yy3lWNadlj6j/6ZpOSdeAp6V03K2Wj73FsvJ8wZFZWewLCFNF6ljbazDUAfp\n",
       "vYosT1m+dj3yjJW6a/XUPlvll2lqvRflZ6+PyfKsedayRrPtJT9b+T19Nc9lFmlVl3OlN5fLviRl\n",
       "RLrUzudSX4/FLeKEEEII6chuYe4H4DoAXw7gT+ZTJ2S1xDNb7ZzN+94iX2JFuVpljdWBTMcmnkVp\n",
       "UXiWf2R51pSVuQbE1oile6ZOGXma3FIvaVXLPJanQbOUvTxSx4GpYoQ82daz1zwGkaWdratXx0wd\n",
       "rHbJ9qux5VnphrK9NjW8Nep6nbXEr+t/b3IBJ4QQQkjBIt3p6zzPjeTKc5Tac8jh+xT6t+xWp2bs\n",
       "mdDSaTmnk+lrzsCt654enucmkuGdG1p4emfOUi09rPPpgegsWd7T6uadI1toZ9AZ74YsT4ueLs9h\n",
       "rfqMiamxvAZeXqt+NZa0FgGenc9qnlHUf2U7RHksr4ynnxU7kV0/JItcxAkhhBDCRZwQQghZLAcS\n",
       "ab4awI8COFikXwE4dyadmthkUFbkAomCbix5UQCa5nqT5Xp6ytc+pgiosvKv4/lMof9Yal6H8gKv\n",
       "MkFaw2fLPRfpqJWjXZu6T5Rt5PX1qA6aa9NzA0euYhmYJonGW+ZYo+Z1JE8XDy//2HHutVeL+1t+\n",
       "1tzK0TxWgzZ3yjpo86Q1HktZ2liM5lxPR0uGJLOIvxrA8wB8AMAtifQZXgjgGb289wN4FoA7AHgd\n",
       "gC8BcAOApwD41ETlEUIIITtHZkvzNgBfO2GZBwH8PwAPAPBZdAv3mwA8CMDfALgIwPMB3AXAC0Te\n",
       "FRC/9pDFskKGMiJLqdQlI9vTYyDz2olMp33X8CyfbbBia/AsSOv3NqH13UjP1np4z1xS027efW/M\n",
       "ZMqJrKFsW2QtbW+syXRl+dlgMs8LF80tns5eHo9MPaM6anWw+nVUfo0FrNW9xvNl1bumT1ppI329\n",
       "+4m+pF7MWOIvAvBKAL8H4HNDHQC8PpFX4+8AfB7A7QH8S//7L9BZ54/q01yC7j+myUWcEEIIIT2Z\n",
       "RfxCdH/k5QCOd6e3LuKfBPBTAD4K4J8AvBnAFQDuDuDmPs3N/fcTkGcK1rlgZgcXncOVZ3eW7Mgi\n",
       "93Qq82fK8awFa0dX3h+r6zbhPTvr97Yh2ziyLmq9DNrYKNNbfTjbbt597/lo55GWDGt8aHkysjSL\n",
       "x2oPrZxozFnlyfvWGNXqU+qnlS919c5vIx28Osp6aXXVytTqaM3PWj0867tlnmrxRlr1k/Wx+n3G\n",
       "i6T178ijAuQW8a8CcH/0ruwJuA+A70fnVv80gN9Edz5esrLKO3LkyK2fDx06NJFKhBBCyHZw7Ngx\n",
       "HDt2LJU2cyZ+MYCXAfjgCJ1KngrgsQD+Y//9mQAeAeDRAM4HcBOAewA4im7zUHLcmXjJ1JZjy5nb\n",
       "gGcxy/u1u8zas6+yPFmOVpdttVotanbP24ZmVQN2BHFmN58tM3vdK3/QtaacmrJKImsvkqNZ9dHY\n",
       "k1iegcwYtGRIOZpenk5eXWSdSl2tdvTK8HTJeAytZ+DVzSpDuy5p9ZjKMjIWf+TtkET90cinXsy8\n",
       "J/5IAFei+9Or7+9/rk7ks7gW3aJ9u16pxwC4BsBl6Fz36H+/YUQZhBBCyM6T2UIeNK7fMKLcH0G3\n",
       "UN8C4L3orPI7AbgUwL1gv2KmWuKWBdOy+8pYOpnznEy+8lqNJVRrpWXLWIflGukypQ5LsMSBvGcp\n",
       "k35KCz3qU6Uu0flq1B8jC87SMaqPNzajOpXXMvmj62OoHcPbMo48y9ubX8v0w+cxtMzRUf/U0pRk\n",
       "vEdRHxL9uDk6/YZEmlou6n9KPonOKieEEEJIAv7ZVUIIIWSh5CMytoNVxg23TrwADs8tZwWxlDIj\n",
       "97uGFXTiBeRssv3mZCl10vpCrXu7pqyhDFl2xs2ZLT8K9InkjHFNZgK1pGyrXFl+dC2TryZdMuAp\n",
       "XZ7XPtG8ItN7sqOjn0x5lgvcaidZRs1ztXSP3OiZ48FMuUmaA9sIIYQQsoUs0hJfB+uy4mqDdQai\n",
       "PNtmhWYDOrz8wPb84ZZ1BgHW5gHyf2CiRdZUutbK8oLnMt6DMWXXyKvtq9vUtzMekFp5rR6jOfNN\n",
       "3S/Gps/IAy1xQgghZLfgIo5ul6PtQLV0Xj7tvvXdOxeKzqWiPJ4lM6SrOIeZBKlP7S51tTrxz4e2\n",
       "MFW912E1ZS0+mafsJ1lZVvmZc/Kp+5JVluwDMn3ZtzNnsjJthJfOmz+0fFb67PiU6aK5yJMp26v8\n",
       "8dJm5rsWL2N5VlzT5oP+NWXVyq2dq9cBF3FCCCFkoSxuER92Z+u2JIE267HmHLskU7/M7lvTqbac\n",
       "bWQbzg83TU00rEWrNaVZblOU10J0pqzNGZGlWuOxahmrNVh5I2u+Rr9MuZ63r9XqtvTzvAbyd40n\n",
       "RcaJlNczz7+1jb3+lLnnsbhFnBBCCCEdSzPDzOj0TUcPjmGOSMboXc11MGcbz9VmU+aZq/6b6Oue\n",
       "RW55d7TI+MznWt2z9YvO9sdE8rfoMyXlmJ/zzZW5+p5l2W/LGKqVM/V80o8pRqcTQgghuwQXcUII\n",
       "IWShLG4R1wIZrIAALyjA+3N32TLk9UzgTDa9FcBRytCCO+Tvsp5a+bWBcTVEruZWMm5sWUZUXusr\n",
       "WGPuawE1UTrPfZ3RQ3v+Ub/y+r4muwx00452Ms/F69Naedp1WQdvLMjX8aKgJ+/HSiP1s9o2apNo\n",
       "DomeaflsvHrJ67KdNF29+njzqmxziynnrMx8LX9b7e3pl5nnLf0y9VvcIk4IIYSQjsUFtt36YeX/\n",
       "8XnvniSTVu5gW4IZLBlylxvpUaa1rtXWL6P/3Kyj/E3XMYNm4c4ZrDSGzLiolZO5PpX8qcvRZGVl\n",
       "R20ZjfNsmlpq2maudp7z+UyFtw6NldU/Vwa2EUIIIbvE4ixxa6eq7WKn3N3PYWWMlWHs1gC078S3\n",
       "1VKd0hrYFixvjPVcp9rlZ/TJ3stcn8vKbvEwzdE3Wjwl6+qjU1qHWfne/azXMFvmOsf6JucVWuKE\n",
       "EELIDrLYRVzuiGR0qZbGyttS3pR5vShEK7JRi4wcEw0+x1nalNTota11kMg+6/VXabHXnLO26JO9\n",
       "lzm3HTsOrajlKCpd+y3b0SovGo/yOVgRzJZemg5eVHOrjlp9ZXR6TR/x9NHQ5umoveYmM9dq9yxv\n",
       "Uja//CzboLUdFruIE0IIISc7i1/Ea3cv3m43u5Oag+g9Se3stNzVart6ufueug6avDFtOFX7r3tn\n",
       "Pxe13pYhrWV1WfKta9b4WGf7ZjwOmufN83JEMj2vSFS2VZaWzpJl6SCfaxRnEHlDvDKieVF6NrR+\n",
       "5vUTK5bB6q/WGPDayMObYy19NRkZj5O8V7aZnM9bWPwiTgghhJysLG4RH2sFeLvdTZylajvM0rrW\n",
       "9NPOBrVdXXSGI2XUtq2WJxt1WrsTtvJYetWk3zTauW1kfU9xHp6xBktZUazJcG9su2fPV8v0NV6C\n",
       "2rN4S0bGc6T1ee18Pqt35D2pGfM1crU80fWojTL9KSqvJV3LPN8yX2UYY4EPLG4RJ4QQQkgHF3FC\n",
       "CCFkoSxuEbcCIdZBq5uwxS3VIj/jrp66vVrdXC1uP42529YqY0pXfRSIVPNKjBZEJT9nqXHTli7h\n",
       "se1e2w5WnYfvXpCURAsGzQZVWXWwrllBTd7zbjla8Vz6Mk1tn6lpW+/+VHNrzbOtQR7RRcc3cx0p\n",
       "aSxuESeEEEJIx84s4lNacVMHRGk7+kyeTPBISebVoikt16lfMYssm00EHg5lZ67V0toeU1m8mlzt\n",
       "NSbrOXtBolNYIrVjxqKmnTRLvtaaL9NodcgGfGXIvtIly67pWy3tZ/VRq49M5WHNeEemfA1tzBzt\n",
       "6VJT/51ZxAkhhJCTjWW8g7PPKvsKU0Rt+nXLaylHuzdcW5d+xCZ6BlkLewnP0ovTqD1rXXddLd1b\n",
       "PVVz6l/qNVe/yMjN9O0x81Br+499hrUya8rIpi3Ggrpe0xInhBBCFsriFvGac7IoylP+kYjWyErg\n",
       "+HMur1ztDMsrW+qo/dZ0KK+Vv70ztKljAeaSHZ3Fzx1N3irPik4u72fP0rK6teaT17W+IsvRztNL\n",
       "auMaoojgmjFT3mspO2OJ1pZR24dq56jos/VcW/T1+m0532o6ZMpqsaCj8/hIH+1aJLMmLiSKjcj2\n",
       "vcUt4oQQQgjpWOQibu3Q5ecof/nZspK8Xdiwm9OskGzZmTPuUkctv9TT2l3LsqaMJo7IRIZmvSxR\n",
       "tLhW1tRnhVPJy1gi3nPT8rVEFnv90LKgveh0Kdv7rl3PeJVqoo2tc27NKpVnzNoYt/SN+lxLnyyt\n",
       "WUnZTp6VaM15U0WFl7pG12vaKDsnZPQqf7S5VFK2U9ZjIOfaMbpn88+5iL8KwM0A3l9cOwPAFQCu\n",
       "A3A5gNOLey8E8GEA1wJ43Ix6EUIIITvBnIv4xQAuENdegG4Rvx+At/TfAeCBAJ7a/74AwMtn1o0Q\n",
       "QghZPHMulH8A4G/FtScCuKT/fAmAJ/efnwTgtQA+D+AGANcDeJgluHQfRYf/0hVW695odYm1BqBE\n",
       "ZVtpPBdZRt66XuOJdJhSj21/Dcujtl9lg2DmxBpjGZetFhQ09IfaOkWu//Ja5I4u9Yrqoek71l2d\n",
       "ea6ZoNUpqJmPrHuZ56mlmao+Ne1vzfPWEaY8+hxDTX3Xbe3eHZ2LHf3vu/ef7wngxiLdjQDOWqNe\n",
       "hBBCyOLYpMt61f949/Ubzs5zzA4oChiqyZfVI7L0szpYASBzB6yRdqZ4bSYjKxss2PJ6UW0gUw1T\n",
       "9N1M8Ns2eKgkViCeR0tA47rYNn0sMm2oWdutQWwZr0TEgepSx3EzgDMB3ATgHgD+qr/+cQDnFOnO\n",
       "7q+pHDlyZCb1CCGEkM2TXefmNtMOArgMwIP77xcB+ASAl6ALaju9//1AAK9Bdw5+FoDfA3BfnGiN\n",
       "H/ddO0OzvnvIM/bWXWP5WoF8TcUr05OVKS9Kr93TdD0Z2PX61tavtT2y+aJ0U5SfKQOI/4CLN06y\n",
       "urZ4BLUyauczKaNGB2+OKnWZauxk2rlEa4eWOduLpbLaL2pXr22y1yKdC33V9XpOS/y1AB4F4G4A\n",
       "PgbgxwG8GMClAL4TXQDbU/q01/TXrwHwBQDPge9qJ4QQQk56lnZgugLyO6FWWndX2R2wtets8SRo\n",
       "u8tS3ly76U1jPQdA311vI96zmWIXn8kbWYG1Hp4aPby3PDIWV8aCLJFtLe9JGRpaW2XIPmetvp6V\n",
       "KtNabZCRZ+lWM19ZdcvMc1krW2v7Fq9Q9BzGWNyZMrW0Q12MfqVe5LvYhBBCyEJZ/CJesxuukVn+\n",
       "1u4B+xHhmg6eTpbONfWILIUyjSd36rZbF9Zudo7+MBeWFWndm6Ksoc/KMi2rZg5PRvb5jO23LV6C\n",
       "ufqOZpF5c0bNfCLTyN+yHSJLMNKtRictndf/tDbwrrU8Y/lbytfKy7aZ1U5em47tc4tfxAkhhJCT\n",
       "FS7ihBBCyEJZht9xn9U2BypZ1AQ3jCmjZEzA0Vg9lviMNkEm2Gyd5dbcq9ExI3NMnaO8WdlZXTwX\n",
       "azbwybo2yM3oPNfRi6afF7A217xRG7gWyZNyx+rdUvdM2VaAHxjYRgghhOwWi1vEo8CcscEC2aAO\n",
       "LfN5kWQAABDZSURBVK0VoCFfs5DBV1FwhaaDV46liyd3qt38Jq3wTB/YpqA3KwgvsiDkd+/5WuWW\n",
       "MsofLzDSsA5cMsFplhWWfY6eBWf1CU9+WTeZTmsjr9+19EFtLogCqLJptDzyR2sDSzc5t3lpNb08\n",
       "vbUA4+xcb3lJLJ0tHbx5eWijzFzu9VdNv6gPlSxuESeEEEJIx/aYJTlO+GMvA5YV0WIZTm2dlnJr\n",
       "XvyPzoi0XeVwr0bm1OdbGayyMjpEadZZj7F4fa3clU8VU1GTt6ZvWPXQ+qVWL69vWu3QqnetPE2m\n",
       "rKtmQck0Wflemkjm2Llr7NjRntmgj9du3ucpqSkvmp8HtDm4vD6V3uCZOCGEELJbLNISB/Q/alJr\n",
       "ndVY7xnLuEyX3dl55x2aFRKdj2gyLF0j3ZZGq+W2CaSFku2bMk+tle7J1WQP12TeKbwB0Xiz9Crv\n",
       "e21gWUbRGWrtGBtLpFfN2PfSed67jDwp2/quzYW1utaUN3wuiTwwtfXxno1V/6HMlrob0BInhBBC\n",
       "dolFLuJyh7VarUKrQLsfydnb86N9I4umVoehfHlt+C13fVperxytfp5uczKVteNZVdtqhQOxblrf\n",
       "9H4DuTM8637muvws277lmTZaJCfI8L6XZDwI3n1rnGVkRmO0vD6kHdrG6ufa3Kf1EW/uyc5V1v1o\n",
       "/o2eT1kPq221Og3Pslb/sm29eVSWo+WX5WXmXvlcrDk/UxdgoYs4IYQQQhZ4Jp45+8jc2xQtZ5by\n",
       "jKm8B9THB9TqVnt96nK8+2NjHawyojPrKcnUe9BlU9SOsznabF3ljMU6dx6re0tdrZiarAentfxW\n",
       "mZl86+5b29DH+ufGM3FCCCFkl+AiTgghhCyUxS3iMthscHe0BMdogTmWnKkCsbKBR54elouuDNQo\n",
       "04ytU20wVCS/VV7WRW4FzmTQgoE27UqLdGjtm1FgWiR36IvaGMy6UqOyaoJLvTK0ALFMu40ZO1F7\n",
       "tB5FeXWQ9cwEuWnjSpNZ80y1eUzTXdOlTOcFrmZo7VdaeaVO0doxdj2qyb+4RZwQQgghHYsPbFs3\n",
       "YwIgrLyAvRvOWhpR8IpV1i6zDQEpFlHg3Fy6W0F/gy7rJNsfW4KfSvkDnoxsGZbMTCBkTdCWN4al\n",
       "py1TP5m3JkBUBupl66YF+GnyLN0z9+R9j6hcq87a9Ywsq11qKerKwDZCCCFkl1jcIm6dZUx1Zu2V\n",
       "C/hnW5mduzxX8c6o5E5Qq3t5Bm7t0GVaqYel67aSOasFNu9xGHOWu07dvZgB62wy21eyYzVzFuud\n",
       "t3r5hs/Zc1bPeorOlrVz03Ksy/LluPbky/ua7pb+5TVPbvScW61wT1/LWvfSejpb1HgpM89fq9tw\n",
       "bco5KJKxuEWcEEIIIR3LML32aT4Tn/LcsfXMKzpni/IOaaydZ/YsLaP7Np8n7zpe29c8p7k8EjX6\n",
       "raPc6Dx3YIp2y8jV8mpnqp5ONefnno6RxajVoYXa515b1zIf4FvCrbpm+nXmOWby1ZQ93AfPxAkh\n",
       "hJDd4qRZxL1zoBLvvKrM512XcrzyMnoMaeR5mXY+ZJ27abK9nTit8M3htX3Nc9LOVa3+Lc9wZVqt\n",
       "zJo+ruGVo50tW/XIjm2Zz6pvWT/ZLt6ZrJdfjs/h2Vj1KOcY65lZ843mrYvO17321sq3sOYd2c+y\n",
       "HoKoLM8zadVDa9tSljW3Z4jGjIWshzYuLU6aRZwQQgjZNbiIE0IIIQtlpwPbtjE4KxPAkA1+y14b\n",
       "q9s2tuOAF9TkpWmRuym2QZcxgUubZp261IyhdbRpNshtarLlyXRA/R//ORlgYBshhBCyg+zMIj42\n",
       "yGZsuVEQghagol33gt+0oCYZjGEF20TBSlHZS2KKIL111jkK4tIsuCjYJSqrltr2SLwuE2KNmVq8\n",
       "QDx5PfpsBX5Z16LAvEzgnuVxk4FZXt/RAvK0sqQsL7BOm1OiNo7qawWdyTplxoAV2JYhM1/KdNH8\n",
       "X6bL6pNJszOLOCGEEHKysbgz8Vs/GC/c15yXROdU3hlNZNFmZFuvmERnQ7K+UX5tJ7vLaOeA28rY\n",
       "/iqvt5yzlmh/mMLqy0P6MXqX5UZ6ZWRGMrw5Qxv7Wt6y/Nqx6OkfWV3eq2ORHlqZVh5ZXy2dVZ9o\n",
       "jovqo9XL07lmnHueCms+ttYDrW0sfTPxOVq5WhW0i7TECSGEkIWyOEu8NcLT2yl6aWrLacGT7e3k\n",
       "shbEWB1q8tTUpeb+lB6WbSGyrDN9tlZmjU6RVRJ9noJIdo3XypKbzVPmm2KuGPusauVa6aI5JZu3\n",
       "Vo8aS9pKm7V0a3WTaQHdq5Hpf1lvSEKHtVvirwJwM4D3F9deCuBDAK4C8HoAdy7uvRDAhwFcC+Bx\n",
       "M+pFCCGE7ARzLuIXA7hAXLscwIMAnAfgOnQLNwA8EMBT+98XAHh5VrfsbmpIV6aXebU0UyCt4+js\n",
       "S9MpI9M7Y5wDrQyv3EinMXnH6LWteH02OkvMXo/KH34yeraUkzkH9mRndSvLyZQZWZA1Osmxaek2\n",
       "pPPOiqXM7FzilR9d02SNec5lPaM80lK15mzru6ZDzfw7yNTKGergPa+s18zqnxld51zE/wDA34pr\n",
       "VwC4pf/8TgBn95+fBOC1AD4P4AYA1wN42Iy6EUIIIYtnk4Ftzwbwpv7zPQHcWNy7EcBZa9eIEEII\n",
       "WRCbWsR/DMDnALzGSaP6IQYXy5EjR3Ds2LFbr02B556yXGSamyjKq7lfMnKkLBnoUbp9NFeNJjcb\n",
       "WLEkWt1m62aM6zt7zBLd11y55T1PXkv7aq5CTU7kUvRc2l5/l+nLNJFuVoCT9hPpnnWvazpmZHpj\n",
       "XbuWuafJjI53rPKjZ2bJ09LV9EM5L3o/Umd5fZh/Lbe49r1Eztul/GPHjqXnsQPp2k/HdwB4PIBv\n",
       "LK59HMA5xfez+2smR44cmVovQgghZOMcOnQonXbdlvgFAH4Y3Rn4PxfX3wjgaQBOA3BvAF8G4F2a\n",
       "ACvIYAo02dZuqMZiyabx9JD6aK8plPe0gKBMkNLS8CyaXatrhtrgQa+trH6kpc/2b/lajtUnrVev\n",
       "NDnyvtQz+/qPlOlZQl7QoeYNs3SSVlx5LxvMVaObltaa8zJppfzMPCjbOVNnWU7rnGblz7R19Fn2\n",
       "J68eGd2yzGmJvxbAowDcDcDHABxGF41+GroANwB4B4DnALgGwKX97y/0106+GZgQQgipYLsPDU9k\n",
       "Bfh/hCG6lrlvybLKjtB229H9yOooz8O9MxlpsUftIfNk6xXVVatPzfOKdK/Rq5YxeTNyo/4m+0RL\n",
       "3bJt4vWlsmypi9d3MuMsM+ayz0Grg/Y90yae5yvqq9YZsPfcvXp6Z8qZvF6ZmXplypPlWM8wmg+i\n",
       "sWH1iexYKMu28ml1yT5XeS9qr0y9YKzX/LOrhBBCyEJZnCU+haU2JdZuzdOt1cLwdBiosdo9HZfC\n",
       "UvUuyezgZfpMOq+sFsZaQF5azxIHbMu5Rq41BiLvg9Sh/K7lkc/Ss+a1+kUWd6a8Mc/Ykz2k8doi\n",
       "q7Mmy2ojr6/VepnGeLTGYnnYMm0GWuKEEELIbrFIS7xlRz6W1nPH8h6wmfN8TQdr5zu23dZlGe+C\n",
       "BQ7Me1ZfKztzXpk5W51CzzHeqtpz7OxY8Cw4S3YtLefkU3j0onmj1esD1HuWMnWaoh9aHlJLl0jv\n",
       "KH2LjqIsWuKEEELILrG4RdzaPVlnWXt7+l/gKa/VltmCl1+712phaVaCtmNcreZ5Z3xd1vEuWOFA\n",
       "rh5WP43yZs55vbxDfi3OQtMtGlvymuYZsnSXY14rV+bV6pS5bulujZkpx1Kr7i2eioz8MWT7n2w/\n",
       "7bP1jKf0EAx6WLpIGZl+U0tLfRa3iBNCCCGkg4s4IYQQslAWt4hrLhDp2tDcxtL9EgUrlJ+tQAPP\n",
       "BTjWZbW3t3frP3iplVMeIVjt1SJ3bqz67iLW853D1WkF75T9xArqkdeki10bd5ZL8ujRoykdJVGb\n",
       "eMdRchxYx29esKe8L+VYxwjDP7EY62bVjiEimd6RhtUfvGsZtP6szYlWO3rlR3OrhjcPa8erlj5S\n",
       "ZilD9pvIxe7pXnM0VbK4Rfxk4mRa1ADWd9dhfXebk62+28IiF3FvF12TPwoo83asXjCLvDdFwMMg\n",
       "JyPL8j5kX/mYimjHvQ1sSh8rUGuqZ5PxtpT9JBoLWYumhkxgXm3QpycjskK1dFHAlRxnVrBUhhoP\n",
       "mVZOptwoXzZNhtILMvxI67W2jJr2jILUtOcceWrL64cPHz5Bnvw8ti0z9V3kIk4IIYQQ4+XxLeZK\n",
       "AOdtWglCCCFkjfw+gEObVoIQQgghhBBCCCGEEEIIIYQQQgghhOwGtwB4WfH9eQAOG2lr+EkAHwXw\n",
       "GeP+v+vLfkhx7SUA3t//PKW4fm8A7wTwYQC/AeDU4t7P9devAvCVxfULAFzb33t+ayUm5BCAyzat\n",
       "BCGEkN3inwF8BMBd++8/hGkW8YcBOBP6In4nAG8F8HbsL+LfAuBydK+U3h7AuwDcsb93KfYX9V8A\n",
       "8J/6z48H8Kb+88MB/FH/+RQA1wM4iG7BvxLAA0bWZyyHwEWcnKTwPXFC5uPzAH4RwA9MLPddAG4y\n",
       "7v0EgBcD+Gxx7QHoFvZbAPwjgKsBfDO6V0zPB/BbfbpLADy5//yk/jvQWeqno9s4PAzdIn4Duvr9\n",
       "Rp9W8m3orP4r0b0eA3QL/1sBvKf/eWR//VCf5g3oNj0vBvDMvp5XA/jSPt2vAHgFgHcD+BN0mxPJ\n",
       "HQC8qtf5vQCe2F9/UH/tfeg8C/dV8hKyOLiIEzIvLwfwdABf5KQ5hG5xkT9/WFnWQwCchX0LeuAq\n",
       "dC7w2wG4G7qF+2x0HoJPoVvcAeDjfX4AuCeAjxUybuzvWdcl/wXA4wB8BYBv7a/dDOCxAB4K4Gno\n",
       "3PUD5wL4LnQbjmcCuA+6DcMvA/jeIt29AHw1ugX8FQBuK8r9MQBvQec9eDSAl6LzPnwXgJ9Fdyzw\n",
       "0F5vQhbPgU0rQMiO8xkAvwrg+wD8k5HmGI4/c27hNgD+O4ALi2vDH3O6At3C93YAfw3gHQD+BUD0\n",
       "NyDH/DGot6Gz5C8F8Pr+2mkAfh7dH2z6FwBfVqR/N7pFHugs/Tf3nz+AbtOBXt9LizR/CuD+otzH\n",
       "ods0PK//flt0C/870C3wZ/f6XN9cM0K2CC7ihMzPz6Bz7V5s3D8f3QIs+UcAX5ss407oXMbH+u9n\n",
       "AngjugXtvQD+a/8DAK8GcB2AT6Jzk98GnTV+NjprHP3vcwr5Z6OzXk8V18+BbtX+Z3SW9Legc50/\n",
       "FN1G5i/RWdqnoIsZGCjd/7cU32+BP0/dolz7t+iC7kquRXeu/wR0norvAmD/WzVCFgLd6YTMz9+i\n",
       "syC/E7r1exSdJS5/sgs4AHwawBejiza/N7oFa1jAb4P94Lpz+5/Le12Ooju/Bjor/g395zcC+Pb+\n",
       "8yPQud1vBvDH6Czog+gs66f2aSX3QXemfRid9X8OuiOF4Sz/29Et5DXs9bru9fK/FN3ZeMmb0W0W\n",
       "BgYPx70B/BmA/wHg/wB4cGXZhGwlXMQJmY9ywf4pdOfRU3ARunPp2/W/fzxIfxq6gLIPojtHfjr2\n",
       "LdjnA/hBdJbrXQC8sr/+JnTu6usB/C8Az+mvfwHA96BbLK8B8DoAHzJ0vBpdcNvb0J3LvxzdRuFK\n",
       "AF8O4O+L9JZrf1XcW6F7te5d2LemPyfS/AQ6b8HV6FzxL+qvP6X//j50HotfNcojhBBCyAxcjM5V\n",
       "TgjpoSVOCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIcvi/wPCwK2PcsnI3wAA\n",
       "AABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa750fa6650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "D in [-0.0833246707916, 0.915686309338]\n",
      "d in [0.999999582767, 1.00000035763]\n",
      "Constraints on D: True\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFRCAYAAAC7YO6MAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu0LGdZ5/HvIQk3Q3KSIEK4uJExKF4SFBG5DA8ICAyC\n",
       "FxQMKpdRYUYHULkYBYl4CyALRmZQj0gSNODhTsCAkcU5gNwSNAkhGCAkASGSEyAHkKPAkJ4/3mp2\n",
       "7z7de3f37urnrV3fz1p77a7u6np/9XZ1P131VneDJEmSJEmSJEmSJEmSJEmSJEmSJElSK/4MeNaC\n",
       "9/0ysLa8KJIk9cvVwCHgS8D1wHuAJwK7FljWfuC/LytYRfazM9dL6oQbZQeQkg2AhwHHAHcAzgCe\n",
       "CfzVgsuqwZFLXl4t6zWvZfeDJCnBVcD9x677IeAbwF2a6bOA3x+5/RHAxcAXgSuAHwP+EPh/wH9Q\n",
       "Dnf/aTPvDcB3NJePBV4BHKDsyf8O63vujwP+EXgB8AXgSuDBI20+HvgIZc//E8CvjNwWwKeBZwD/\n",
       "1rRxKeUNyNBRwOeAkyf0wW7gLU2uLwBvBm7b3DZtve4JXAgcBC4AfmRkefsp/fWe5j7nArcEzqH0\n",
       "2QXAt0/IAWWY4AbgF4FPAtcBvz1y+02AFwOfaf5eBNx4k354DvAa4K8pffch4DuB04BrmzYeOLL8\n",
       "x1H690uUx+DUKTml3ns55Ul06RKWdT/gopG//wAePuN9jwPeAFwCfAD4ninz3R/4J0res4AjZrj/\n",
       "U5r5P9xcHjoZeB/lBeVc4BbN9TcGzmyuvxi474Qc57KcPoPlPgY1m1SoobyAP7G5fCbw3Oby3SnF\n",
       "6Ueb6ROBOzeX9wFPGFvOaKF+BWV7+BZKofroyPyPA75GOcS8C3gSpRANPRS4Y3P5vwJfAe7aTAfw\n",
       "deCPKQX5psDTgb8duf8jKNvhJMcDP9nc72jg1U3OofH1Op4yTPAYylG5R1MK/HHN7fuBjzV5jwEu\n",
       "Az5O6ecjgLMp29cka5Q++wtKUf5+4D9Z7+PnAu+lFP5bUt4MDB+bSf1wOuU5/8CRtq+mFOojgF+i\n",
       "FGQoj8sXKYUc4NtYf7Mmacx9KC9Cyy4SxwGfpzyBx1094boXAM9uLt8ZePuEeW4EfAr4L83077H+\n",
       "ojbt/t9LWbebUl4s/gG4U3PbhZT1h7IXNXwR+lXWD8d+K/BBNo6j/hRlj+VDEzIuoq3HoDbTCvX7\n",
       "KC/msLFQ/wXwwinL2sfhY7nDQn0E8FXgu0Zu+5XmPlAK9cdHbrt5c99bTWnrDcCTm8vRLPvGI7ef\n",
       "SNmbPbqZfi3wtCnLGncKpfAOja/XLwDvH7vPe4HHjsx/2shtfwL83cj0wyhvmidZo6z3iSPXfQD4\n",
       "2ebyFWw80vAgymMIk/vhdODvR6Z/nNIvw+fOLZr2jqEU6uspz6WbTcknrVytY9TvpjxhRt0JeCul\n",
       "QL2L9XfY8/gZ4DzKO/Rxk8bhvpv1F9KPUl5EvnVsnhMoe0JXNNNvB356k/vfqrn+A02ObwDvpLw4\n",
       "QHk3/+4tlnUdZa/ubs300cCvA3/AxuL9rZQX6Auav3tOWMdpJj0GfXI7Nhar0es/scn9po3n3pKy\n",
       "l/fJkes+xfohZoDPjlw+1PwfFtqHUIrj5ymPy0Mp297QdZTtcOgayt7mIymHth9MeSM3yc0pb0Cu\n",
       "puxRvpNymH50WxpdrxOb7KM+ycbieu3I5f+kHFYfnT6azY33xXD+Ezm8D0fbHe8Hxtr+D8oQwGBk\n",
       "mmb5XwEeRTmacQ1lOGCR1xlpqWot1JPsAf4XpTg9HXjpAst4NPCqOea/hPUCenfK4crbjc3zOcpJ\n",
       "Kz/YTD8SuP0m978tZS/1PpRDiDcH/tvIci+jHKaE8sZidFkPp+yZ3bFpb3if36fstQxf3If+N2UM\n",
       "7+5NrpfNstLihygv/v844bZ/Zf3oybjNTrr6HOWw7NrIdXegjKlu5SbA64DnU97oHUd5wzmtkA6d\n",
       "Dfw8ZTt6L2XcdpLfBE6ibCfHUoZVdo0sf3zZn+HwMeZvZ+Oh+lHLPBntGg7vw2s2aWvets+n7KXf\n",
       "Grgc+Ms57y8tXVfOijyacrLKa0auGx7e+inK4eZxn6bshQzdhnLIefQw2P8B7tVcPpH1w3Gvpoxz\n",
       "nUEpdhdRiutFlD3gUQPKG4AXUV5Qzx+ZZ9r9Lwee18z7leb6G5r7PIFyws6zKWPOw72Dl1P2qj9I\n",
       "2aN4b7OsUyiHVn+dwz+v+4DmPkO3oLwx+H4mvwANmtv6ZliQjqGM/76YcvLRZSO3D+f5K8rj9hbK\n",
       "WOxtKNvnRyl7kcMhjHHfoGxXf0g5UeoEymP2ghny3bj5+xxlO3kIpZhsNSzxBuD/UsZan7fJfEdT\n",
       "9iy/SHnz+Jyx28fX6zzgJcDPUZ6TP005pP+WkXl2Tbm8Xa+ifKb9wmb6dymP1TTztH0ryuvM2yn9\n",
       "8RUOf75LGrHG+gvRMWx817yIpwB/vsntV21y2+g8Wx2yexAbT+KZ5f5/RDncNu4kyiHySd5DeXEc\n",
       "nnR0FWVv76vAO5p5rmPjeN281ujHGPXwc9QHKf36P9j4Aj86Rg3wE5QjHF+ijCsPzxq+B6Vgf4FS\n",
       "7GHjyWS7KUXlAOWQ7bNG2nksZUhn1DdG7vs/KYeDr6eclPZKNp5ENX4oeuhllDHZm0+5HcqbjX3N\n",
       "fJdTxs6/wfoRt0nrdS/Km8aDlKI5OqwyfvLZ77Px5LEHUE42m2RtrO3x5d2E8ub3mubvxWw863u8\n",
       "H55D6a/Rtq8cmT6yae9Eyl70/madrqc8j0bPKZB2nElnDR9POXHqY5S9kt2b3H9t7L7D8TYoL27z\n",
       "7vm9n8lnSg9NKtTHsv4i8MuUM7onGY5b34TybjxmuP/wJKE7AP9CeTMyuqwbUV5gHtdM34xysguU\n",
       "wrB/Qo5vZ2OfncPGE4hOmZJ/mjV2fqHe6Z7NxkIlSd806azh51M+4wjlSyXOmHLfV1HeLX+Nspf4\n",
       "eErReCvlo0mXMd9XOq41y9nMlROuG+5JXE45KevYkdv+jvIOHMp6faSZ78kz3v9dlPW4mPIRsqEn\n",
       "N/f5KGVPe3QdLm/aOZ/1sWvG5hk96/sEyt79JU1b84zrDx+Dr7L+GKhbjqe8Ab13dhBJ9VpjY6G+\n",
       "nDJeBusna0havl8G/p3FTrqU1CNrbCzUox/32UW/P/4jSdKWMj+eNaC73yEsSdJKrPrjWddSDnl/\n",
       "lnKm6YEp832GjV9iIEnSTnYJ85/wuxRrHH4y2TOby7/F9JPJ3NOe7PTsABU7PTtApU7PDlCp07MD\n",
       "VOz07ACVOr3l5U+te20e+n4V5Us57sz6WcNnUD5a9DHK9ytPK9SabC07QMXWsgNUai07QKXWsgNU\n",
       "bC07QKXWshpu89D3z025/gEttilJklbAQ9+TRXaAikV2gEpFdoBKRXaAikV2gEpFy8vvXN3rXGBJ\n",
       "krYhZYxayxfZASoW2QEqFdkBKhXZASoW2QEqFVkNW6glSdLcPPQtSeoTD31LktRFFupuiewAFYvs\n",
       "AJWK7ACViuwAFYvsAJWKrIYt1JIkVWxXdoApBqRlG+wBTgIOAafCroM5OSRJ9WmtRiTWvcUknkw2\n",
       "2A+DQfO3Ny+HJKk+rdWIzp1EnVmoz2segAtgsDsvx0SRHaBikR2gUpEdoFKRHaBikR2gUlH+tVYj\n",
       "POt7DqcCrwYe5GFvSdIYa0Sjc4cAJEnaBveoJUnqIgt1t0R2gIpFdoBKRXaASkV2gIpFdoBKRVbD\n",
       "FmpJkjQ3x6glSX3iGLUkSV1koe6WyA5QscgOUKnIDlCpyA5QscgOUKnIathCLUmS5uYYtSSpTxyj\n",
       "liSpiyzU3RLZASoW2QEqFdkBKhXZASoW2QEqFVkNW6glSdLcHKOWJPWJY9SSJHWRhbpbIjtAxSI7\n",
       "QKUiO0ClIjtAxSI7QKUiq2ELtSRJmptj1JKkPnGMWpKkLrJQd0tkB6hYZAeoVGQHqFRkB6hYZAeo\n",
       "VGQ1bKGWJElzc4xaktQnjlFLktRFFupuiewAFYvsAJWK7ACViuwAFYvsAJWKrIYt1JIkaW6OUUuS\n",
       "+sQxakmSushC3S2RHaBikR2gUpEdoFKRHaBikR2gUpHVsIVakiTNzTFqSVKfOEYtSVIXWai7JbID\n",
       "VCyyA1QqsgNUKrIDVCyyA1Qqshq2UEuSpLk5Ri1J6pOpde/IVaZYzGAPcBJwCDgVdh1MDqTW+Fi3\n",
       "p+992/f1n6Yr/dKVnOO6mns2I+8sBvthMGj+9qYlqkNkB2jXth7raCHQThDlX9+fR4etfyQHqsTE\n",
       "7SISA01RxfYb899lrtydPuv7UPP/QuCJmUHUOh/r9vS9b/u+/tN0pV+6knNcV3PPZHSPend5JzLY\n",
       "nRdHq+Fj3Z6+923f13+arvRLV3KOmyt3587N6lxgSZK2odOHvrUusgNULLIDVCqyA1QqsgNULLID\n",
       "VCqyGrZQS5KkuXnoW5LUJ9Ud+j4NuAy4FHglcJOkHJIkacwacCXrxXkv8NixedyjniyyA1QssgNU\n",
       "KrIDVCqyA1QssgNUKlpeflXfTPYl4OvAzYFvNP8/k5BDkiRN8SvAl4EDwF9PuN09aklSn1RV9+4E\n",
       "fAQ4gbJH/wbgMWPzVBVYkqSWVXXo+27Ae4HPN9OvB+4JnDM231nA1c3lg8DFwP5mOpr/fZseXldL\n",
       "npqmTwFeXFGeWqaHl2vJU8u028v06afi6+2k6eF1y1xeUM7bqs7JwIeBmwG7gLOBXx2bxz3qySI7\n",
       "QMUiO0ClIjtApSI7QMUiO0ClouXlV1f3nsH6x7POBo4au726wJIktahzda9zgSVJ2obqvvBEi4ns\n",
       "ABWL7ACViuwAlYrsABWL7ACViqyGLdSSJGluHvqWJPWJh74lSeoiC3W3RHaAikV2gEpFdoBKRXaA\n",
       "ikV2gEpFVsMWakmSNDfHqCVJfeIYtSRJXWSh7pbIDlCxyA5QqcgOUKnIDlCxyA5Qqchq2EItSZLm\n",
       "5hi1JKlPHKOWJKmLLNTdEtkBKhbZASoV2QEqFdkBKhbZASoVWQ1bqCVJ0twco5Yk9Ylj1JIkdZGF\n",
       "ulsiO0DFIjtApSI7QKUiO0DFIjtApSKrYQu1JEmam2PUkqQ+cYxakqQuOjI7wPIM9gAnAYeAU2HX\n",
       "wdluy842lwD2LynUEmX3L7BQ37SxzSyjL5badrDUfpln3mX0b2vbVrDtfuH5I9MHgLXZbkt5fsxo\n",
       "sAfedHd4xDVsvk4trEcbj/Uyt+Vv9kvlj+HqLHDoe7AfBoPmb+/st63C0tqPJQVasuz+BRbqmza2\n",
       "mWX0xVLbjnbbX7QPZ22jtW0r5r/LeJYN0wdmv61mg/2wb5Z1amE92lj+MrflfW0/hp0b8l2kUJ/X\n",
       "dOIFMNg9+22rkN1+27q6fm1sM8voi8y2513Oon04axs1bVvjWTZMnz/7bTWbeZ1aWI82lr+KbXlp\n",
       "elGodzfv+iZ04ma3rUJ2+23r6vq1sc0soy8y2553OYv24axt1LRtjWcZnZ7ntprNuk5tt52xzPQa\n",
       "0odC3QuRHaBikR2gUpEdoFKRHaBikR2gUtHy8j3rW5IkLY971JKkPnGPWpKkLrJQd0tkB6hYZAeo\n",
       "VGQHqFRkB6hYZAeoVGQ1bKGWJElzc4xaktQnjlFLktRFFupuiewAFYvsAJWK7ACViuwAFYvsAJWK\n",
       "rIYt1JIkaW6OUUuS+sQxakmSushC3S2RHaBikR2gUpEdoFKRHaBikR2gUpHVsIVakiTNzTFqSVKf\n",
       "OEYtSVIXWai7JbIDVCyyA1QqsgNUKrIDVCyyA1Qqshq2UEuSpLk5Ri1J6hPHqCVJ6iILdbdEdoCK\n",
       "RXaASkV2gEpFdoCKRXaASkVWwxZqSZI0N8eoJUl9MrXuHbnFHX9wszs3vg5cOm8iSZK0tV1b3P5l\n",
       "4INbzHNHYG0padYN2DpbHwWwPzlDrQL7ZpLAfpkksF+mCeybSYJ2+2Vq3dtqj/qDwP22mGffIokk\n",
       "SVJ3OUYtSeqTVj5H/V3buK8kSWrZp1pctnvUk0V2gIpFdoBKRXaASkV2gIpFdoBKRcvLX/is75ds\n",
       "cttxi2UBYDfwMuB7KOGeALx/G8uTJGlHmuWs76cBX2Vjtd8FvBA4YcF2zwbeCbyc8mbhW4Avjtzu\n",
       "Wd+SpD5ZuO7tA+415barFwxzLHDlFvN46FuS1CcL173jgZsvMQjAKcAHgDOBfwb+ckIbFurJIjtA\n",
       "xSI7QKUiO0ClIjtAxSI7QKWi5eUvPEb9hSUHGbb5A8CvARcCLwZ+C/jdre862AOcBBwCTgWev3F6\n",
       "18EW8k5r/wDli15abHt8facdFdm0X8ZybnbbPOtwWLYZ77uU+22Su41cq75tnnXf7Dkw2ANvujs8\n",
       "4pr5+mLT9lvY1ttY/qq3z9qs+rVqattbbPfLeA2fZ5mZj++WOZfe4tnAnwHfu8B9bw1cNTJ9b+At\n",
       "Y/MMgLOA05u/pwIBg/0wGMC+Aex9x+HT3xRsfPezpOnR9s6/vlweDNtuub3N1u+NF5d5BgMY7B2b\n",
       "PlAu72tuG+wfmT6weP+98eLF1n9D+3sXa+/86zeu77KXP74+4/07a3ubPX7z9N/Mj+cc7c+zPW62\n",
       "/ossbxXLX/X2Wdv0rM+XNtqf5/myjP7e9PVvSa8Pbbyev/FieM4AHjuAH7uKFo4k3x14JOUdwSLe\n",
       "RXknAaUQP2/s9imBB+c1nX8BDHYfPt22De2d337bs67fpv1y/uy3tZGtlfttkruNXKu+bZ51X1Yb\n",
       "M7ffwrbexvJXvX3WZtWvVVPb3mKbXEZ/z7PMzMd3y5zVDfmeTDnsfQnwesoJZqOmFerdlHdhuydP\n",
       "t220vVW0fVgbMdt8m+Vc1joset9l3G/iMqK9XKu+bbN553kODHY3R562uY22va23sfwtlxmry5Jh\n",
       "W8/zWF7bW922jP6e9zmxcHuxeMZJbR+WZeFCfRTwJOBtlF/IurS5/KTmtrZU986iEpEdoGKRHaBS\n",
       "kR2gUpEdoGKRHaBS0fLyp9a9rUav/xa4njIm/ZnmutsBj6V84cmjlpFugsEM2SRJ2ikWrnsfX/C2\n",
       "7XKPWpLUJ1Pr3o22uOMXgJ8dm+9GlD3pNj66pc1FdoCKRXaASkV2gEpFdoCKRXaASkVWw1sV6kdT\n",
       "zu6+lrIH/fHm8k83t0mSpArsAm7Z/K1i7NhD35KkPlm47v3AkuaZl4VaktQnC9e9D1G+73va3wnA\n",
       "RUsIOM5CPVlkB6hYZAeoVGQHqFRkB6hYZAeoVLS8/Kl1b6vv+j4G+Kct5rlu7jiSJKnT3KOWJPXJ\n",
       "wh/PkiRJiSzU3RLZASoW2QEqFdkBKhXZASoW2QEqFVkNW6glSarYPJ+JPpny4+PDE9AGlF++aoPf\n",
       "9S1J6pOpdW+rs76HzgS+D7gMuGHk+rYKNTA4DzgVdh1sYdl7KL+HfQg4QHkDcmh77W1Y5ibL2Wy+\n",
       "WZeh2dmnq7PqbXt8mTx/tjZ2wjax6Lp3qf0uPk6LZh7sWca+6UdY7R7ugPKD2ntbWvz+ZvkDGBwY\n",
       "ubyN9jYsc5PlbDbflsuIxfPteDH56lkflx0rVtfUtrbtJbQ3z3NwX8e3iUXXfSaR3P6UNtLF1rMs\n",
       "mnmwnyWc9X0hcJfZG12KC4EntrTsQyNtXLyk9kaXudlyNptv1mVodvbp6qx62x5f5jKeg12x6Lp3\n",
       "qf0uPk6LZj609SxbC+BLwMeAS5u/Dy1jwVMMYLC7xcXvbt4F7t54eVnLXHS+ZWXROvt0dVa9bY8v\n",
       "cxnPwa5YdN271H4XH6dFMw92s8ke9ayHsz8B/DrwYTaOUV89X5iZeTKZJKlPtl333rekILPym8km\n",
       "i+wAFYvsAJWK7ACViuwAFYvsAJWKlpe/8Hd9D10MvBJ4M/C1kYW2eNa3JEmadTf7zCnXP35ZQcZ4\n",
       "6FuS1CfbqntHAC9cXpaZeOhbktQn265772fln6PWBJEdoGKRHaBSkR2gUpEdoGKRHaBS0fLylzJG\n",
       "/SbgNax/3ssxakmSWjbrXvJZzf/xiu8YtSRJ29e5uuehb0lSn2z7K0RvD7wBuK75ex1wu+3n0pwi\n",
       "O0DFIjtApSI7QKUiO0DFIjtApSKr4VkL9ZnAucCJzd+bmf6RLUmStGKXzHjdsnjoW5LUJ9s+9P15\n",
       "4Bcon6k+Evh54HPbzyVJkpZhjXK4ezhG/SbgDi225x71ZJEdoGKRHaBSkR2gUpEdoGKRHaBS0fLy\n",
       "t/056quBH19KFEmSNLOtPrP1nCnXDyv/c5eYZXz5nfo82eoN9gAnUb6A5lTYdbDd5fP82dvbcN8D\n",
       "lCMyE+632TrMs36zztt2n21Hdrbs9jMtaztcdtvbmXdZbS5DG+3tyO114br3NOA3x/5+F/gk8JVl\n",
       "pZvAQ99bGuyHwaD529v+8udpb8O8B6bfb7NlLtzeJvO23WfbkZ0tu/1My9oOl932duZdxXIy29uR\n",
       "2+tS6t4xwLOAq4DnAbdaxkKnsFBPFusXB+c1G+kFMNi9/KbGlz9PexvmPX/6/TZb5rzt7Zth3rb7\n",
       "bDtayxbJ7dcq1i8uaztcxMLPq21k2XI5sfiyF2qvkmVuKVpe/rbq3gnAH1AK9O8Bxy0j0RYs1JPF\n",
       "+sXB7vJOsq2NdHz587Q3Ou9m91v0tknz7n3HDC90LffZdrSWLZLbr1WsX1zWdriIRZ9XrbYZ21v+\n",
       "3O1VsswtRcvLX7ju/QnwCeCZwC2WFmdrFmpJUp9MrXtbDVzfAHwN+PqUhR6zjVCb8WQySVKfdK7u\n",
       "uUc9WWQHqFhkB6hUZAeoVGQHqFhkB6hUtLz8bX8zmSRJ0je5Ry1J6hP3qCVJ6iILdbdEdoCKRXaA\n",
       "SkV2gEpFdoCKRXaASkVWwxZqSZI0N8eoJUl94hi1JEldZKHulsgOULHIDlCpyA5QqcgOULHIDlCp\n",
       "yGrYQi1JkubmGLUkqU8co5YkqYss1K0Y7KH8sPl5Ob8t3EuxuqZae3zbENkB5rdZ/y6t72Mb923R\n",
       "hvU7K2k7ixW2lWjubSmWtJwdo+OHvgf7mx81H5TfTF2aWOKydppYXVOtPb5tiOwA89usf5fW97GN\n",
       "+7Zow/odSNrOYoVtJZp7W4olLWdqoG3cN0XnAm80OK950C7o2zusfvDxbddm/bvT+37D+p2/s9c1\n",
       "27K2paVtk1XWvSOAi4A3T7itysCzG+wu76x8cu1MPr7t2qx/d3rfj67fTl/XbMvq36U9TlXWvd8A\n",
       "zgHOnXBblYErENkBKhbZASoV2QEqFdkBKhbZASoVLS+/urO+bwc8FHgZsCspgyRJmuI1wF2B+7Ij\n",
       "D31LkjSXqvaoHwYcoIxPuzctSdImjkxo857AwymHvm8KHAO8AvjFsfnOAq5uLh8ELgb2N9PR/O/b\n",
       "9PC6WvLUNH0K8OKK8tQyPbxcS55apt1epk8/FV9vJ00Pr1vm8gJYo3Ie+p5PZAeoWGQHqFRkB6hU\n",
       "ZAeoWGQHqFS0vPxq69598axvSZI6V/c6F1iSpG2o6mQyLS6yA1QssgNUKrIDVCqyA1QssgNUKrIa\n",
       "tlBLkqS5eehbktQnHvqWJKmLLNTdEtkBKhbZASoV2QEqFdkBKhbZASoVWQ1bqCVJ0twco5Yk9cnU\n",
       "upfxFaIdMtgDnAQcAk6FXQfz2lhFFrVrJzyGO2EdstmH2hkq2aMe7IfBoPnbm9vGYD/sazlLp0V2\n",
       "gK2tYns6TCx3cSnr0IbIa7r6PozsAJWKlpfvWd8LOtT8vxB4YnIbq8iidu2Ex3AnrEM2+1A7Qi17\n",
       "1LvLO97B7vw2VpFF7doJj+FOWIds9qEmqqTuza5zgSVJ2gYPfe8QkR2gYpEdoFKRHaBSkR2gYpEd\n",
       "oFKR1bCFWpIkzc1D35KkPvHQtyRJXWSh7pbIDlCxyA5QqcgOUKnIDlCxyA5Qqchq2EItSZLm5hi1\n",
       "JKlPHKOWJKmLLNTdEtkBKhbZASoV2QEqFdkBKhbZASoVWQ1bqCVJ0twco5Yk9Ylj1JIkdZGFulsi\n",
       "O0DFIjtApSI7QKUiO0DFIjtApSKr4SOzGpYkqU6DPcBJlN8OPxV2HUwOVCXHqCVJSQb7YTBo/vau\n",
       "qtEVtbM0nQssSdopBuc1RfoCGOxeVaMramdpOhd4RSI7QMUiO0ClIjtApSI7QMUiO0C+we6yJ72h\n",
       "SEfbjU67wTFqSZI22HUQeFR2itq5Ry1J6hM/Ry1JUhdZqLslsgNULLIDVCqyA1QqsgNULLIDVCqy\n",
       "GrZQS5KkuTlGLUnqE8eoJUnqIgt1t0R2gIpFdoBKRXaASkV2gIpFdoBKRVbDFmpJkjQ3x6glSX3i\n",
       "GLUkSV1koe6WyA5QscgOUKnIDlCpyA5QscgOUKnIathCLUmS5uYYtSSpTxyjliSpi3ZwoR7sgcH+\n",
       "5gfAV/XD322L7AAVi+wAlYrsAJWK7AAVi+wAlYqshndwoeYk4L7AQ4C/SM4iSdKOsoQx6sF5MBjA\n",
       "4IIdtEctSdqZOndu1jIK9W4Y7LVIS5I6oI+FekeK7AAVi+wAlYrsAJWK7AAVi+wAlYqWl+9Z35Ik\n",
       "aXnco5Yk9Yl71JIkdZGFulsiO0DFIjtApSI7QKUiO0DFIjtApSKr4YxCfXtgH3AZ8GHgyQkZJEnS\n",
       "FLcGTmkuHw18FPjusXkco5Yk9UnVde+NwI+OXVd1YEmSlqzaurcGfJKyZz2q2sDJIjtAxSI7QKUi\n",
       "O0ClIjtAxSI7QKWi5eVXedb30cBrgacA/56YQ5Kkah2Z1O5RwOuAv6Ec+p7kLODq5vJB4GJgfzMd\n",
       "zX+nnR6dZovb+zi9v7I8NU2zxe19nR5eV0uenTo9vLxGhXYBrwBetMk8HvqWJPVJVXXv3sANlD3k\n",
       "i5q/B4/NU1XgikR2gIpFdoBKRXaASkV2gIpFdoBKRcvLn1r3Mg59/yN+0YokSTPZlR1gigH1ZtvB\n",
       "BnuAk4BDwKmw62ByILXGx1qqTOfqnoe+Uwz2w2DQ/O3NTqM2+VhLlelc3etc4BWJdhc/OK954b4A\n",
       "BrvbbWvpIjtApWLy1Z1+rJchsgNULLIDVCpaXn6Vn6NWfU4FXg08yEOhO56PtaRtcY9aktQn7lFL\n",
       "ktRFFupuiewAFYvsAJWK7ACViuwAFYvsAJWKrIYt1JIkaW6OUUuS+sQxakmSushC3S2RHaBikR2g\n",
       "UpEdoFKeIgqQAAAHXklEQVSRHaBikR2gUpHVsIVakiTNzTFqSVKfOEYtSVIXWai7JbIDVCyyA1Qq\n",
       "sgNUKrIDVCyyA1Qqshq2UEuSpLk5Ri1J6hPHqCVJ6iILdbdEdoCKRXaASkV2gEpFdoCKRXaASkVW\n",
       "wxZqSZI0N8eoJUl94hi1JEldZKHulsgOULHIDlCpyA5QqcgOULHIDlCpyGrYQt0tp2QHqJh9M5n9\n",
       "Mpn9Mp19M1lav1iou2V3doCK2TeT2S+T2S/T2TeTpfWLhVqSpIpZqLtlLTtAxdayA1RqLTtApday\n",
       "A1RsLTtApdayGt6V1fAWLgZOzg4hSdKKvBNP5JMkSZIkSZIkKcuDgcuBjwPPTM6S6fbAPuAy4MPA\n",
       "k5vrjwf+AfgYcD79/SjFEcBFwJubafulrPNrgX8BPgL8MPbL0GmU59KlwCuBm9DPvnk5cC2lH4Y2\n",
       "64fTKK/FlwMPWlHGDJP65QWU59IlwOuBY0du60u/THQEcAXl7LqjKCeVfXdmoES3Zv0D9kcDH6X0\n",
       "xfOBZzTXPxM4Y/XRqvAbwDnAuc20/QJnA09oLh9JeWGxX8rryZWU4gywF3gs/eyb+wB3ZWNBmtYP\n",
       "d6G8Bh9F6cMr2LmfFJrULw9kfX3PoJ/9MtGPAG8bmf6t5k/wRuABlHdw39Zcd+tmum9uB7wduB/r\n",
       "e9R975djKcVoXN/7Bcoe40eB4yhvYN5MeRHua9+ssbEgTeuH09h4VPNtwD3aDpdojY39Muongb9p\n",
       "Lq+8X2p7F3Bb4F9Hpj/dXNd3a5R3ex+gPKGuba6/lvUnWJ+8CHg6cMPIdX3vlzsC1wFnAv8M/CXw\n",
       "LdgvAF8AXgh8CrgGOEg51GvfFNP64UTKa/BQn1+PnwCc11xeeb/UVqj9ecvDHQ28DngK8OWx2wb0\n",
       "r88eBhygjE9P+x6APvbLkcAPAC9t/n+Fw49G9bFfAO4EPJXyhvdEynPq58fm6WvfjNuqH/rYR78D\n",
       "fI1ybsM0rfZLbYX6M5STqIZuz8Z3Ln1zFKVI/zXl0DeUd7y3bi7fhlK0+uSewMOBq4BXAfen9E/f\n",
       "++XTzd+FzfRrKQX7s/S7XwDuBrwX+Dzw/ygnBv0I9s3QtOfO+Ovx7Zrr+uRxwEOBx4xct/J+qa1Q\n",
       "fxD4Tso73xsDj2L9ZKG+2QX8FeXs3RePXH8u5UQYmv9vpF9+m/IkuSPwaOAdwC9gv3yWMmx0UjP9\n",
       "AMpZzm+m3/0CZcz1HsDNKM+rB1CeV/ZNMe25cy7lOXZjyvPtO4ELVp4uz4MpQ2yPAP5z5Pq+9wsA\n",
       "D6Gc+HEFZdC+r+5NGYO9mHKY9yLKhnM85USqPn2kZJr7sv5Gzn4pX7t7IRs/TmK/FM9g/eNZZ1OO\n",
       "VvWxb15FGaf/GuWN3ePZvB9+m/JafDnwYytNulrj/fIEysevPsn66+9LR+bvS79IkiRJkiRJkiRJ\n",
       "kiRJkiRJkiRJkiRJkqQd4icoX2Zz55HrTqZ82U8b9lO+mOFhzfTPUL784xuUrxlt29uA61n/pbOh\n",
       "c5pcl1K+he/I5vpbNve5mPJb7I9rrr9Zc91XKV/SIUlSK/ZSvlHt9JHrHge8pKX29rGxIH8X5atG\n",
       "x69vy/0pbxLGC/XoG5NXAk9qLp8O/HFz+ZaU7+g+cmTeq7BQq0dq+65vaac7Gvhh4Nco32UP5TuD\n",
       "n9tMX0TZ4z2e8p3LlwDvA76vmfd0yldgvgu4Gvgp4E+ADwFvZWNBGzX6S2OXU74ucjMBvLPJ8Ang\n",
       "DMp3ql/QtPUdW9x/1DuAf59w/VtHLl/I+k8F/htwTHP5GNZ/TEOSpNY9Bvjz5vK7WN+jfSzwpyPz\n",
       "vQR4dnP5fpQCDqVQvws4Avh+4BDr3zX8esoPCIybtue82R51UA5XfxvljcRnWD8C8GTKb4IDnMr6\n",
       "dyGP/r16wvLG96iHjgL+CbhXM30E5XD9NZSfdh0fEnCPWr0y7d23pHb8HOtF7jXN9D9T9nhH93rv\n",
       "RdlbhlJQTwBuQfnd27dSxpc/TDkq9vfNfJdSfnluWS6k/AQilB8gGLbzYcqbByiHrDf7nd5ZvJSy\n",
       "9/6eZvo0ylh0UH5L+h8oY/jjv8cu9YKFWlqd4ykF7nspBfcIykllT58y/64p13+t+X8D8PWR629g\n",
       "uc/pr44t+6sjl4ftPAZ42oT7XkE5hD80mNLGcyhvQn555Lp7An/YXP4EZQ/6zpSfwZV6xzFqaXUe\n",
       "CbyCstd7R+AOlHHm+wBfouwxD72b9R+rD+A6yh7ltOK9qNHl3Zbyc4fzOAe464S/nxmbb1LuXwIe\n",
       "RDl8Pupyym9GQzn0fmfgyjlzSTuGhVpanUcDbxi77nXN9fuAu7B+MtnpwA9STib7I8oYNpQ909G9\n",
       "0/E91Wl7rqN+kvKbu/cA/o71k7puw/oe+ng7423M0s7Quylj1j/atPvA5vo/A25FOVnuIuBZzfV/\n",
       "BNyNsu5vp/yW9BfmaE+SpE7ZRyn6W/lV1j9rXTNPJpMk7Sivo5xo1oUivJmbUk4y+1dgd3IWSZIk\n",
       "SZIkSZIkSZIkSZIkSZIk4P8DVtECzwKx108AAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa750f3a310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAesAAAFCCAYAAADR4PWHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAH3tJREFUeJzt3XvULWVdwPHvGx4ugnCAFTcBj5J4B0TUIA0xSlIgs+Ut\n",
       "ZRGopSsDl1aAZVBrtUJTs8siUzGPeAnUo0KRSurREhO5HhCOhIKIxMEwglohELs/nnnP3u9m9n5n\n",
       "Zs8z88zM97PWXu/e8+7LM89cfvP85plnQJIkSZIkSZIkSZIkSZIkSZIkSZI0IMcAm4F/A05ruSxt\n",
       "2g/4MvAt4DrglGz6bsAlwI3AF4C1rZSuXdsAVwEXZa+tkzDPnwRuAK4Hno31AnAGYRu6FvgYsB3D\n",
       "rJcPAlsI9bBsXj2cQdgHbwZ+oaEyNi2vTv6UsA1dA2wAdpn43xDqpLBtgJuAdcAa4GrgSW0WqEV7\n",
       "AYdkz3cCvk2oi3cAv5tNPw04u/mite7NwEeBC7PX1gmsB07Onj+CsJMZer2sA75LCNAA5wMnMsx6\n",
       "eS7wdFYGpln18GTCvncNoQ5vAn6ikVI2K69Ofp7xvJ7N8OqksMOBz028Pj17CD4DHE04qtszm7ZX\n",
       "9npI9gX+CTiKcct66HWyCyEoTRt6vexGOMjdlXAAcxFhZzzUelnHysA0qx7OYGVW83PAT8cuXEvW\n",
       "sbJOJv0y8JHseWt1kuoRwaOB70+8vi2bNnTrCEeA3yBsXFuy6VsYb2xD8WfA7wAPTUwbep08Fvgh\n",
       "8LfAlcD7gR2xXn4EvAu4FbgduJuQ9h16vSybVQ/7EPa9y4a6Hz4ZuDh73lqdpBqsR20XIEE7AZ8C\n",
       "TgXunfrfiGHV2bHAnYTz1Usz3jO0OoHQajwUOCf7+z88PCM1xHo5AHgT4WB3H8K29Oqp9wyxXvKs\n",
       "Vg9Dq6PfA+4n9HOYpZE6STVY/4DQsWrZfqw8mhmaNYRAfR4hDQ7hCHiv7PnehOA1FEcAxwM3Ax8H\n",
       "nk+omyHXCYRt5Dbgm9nrTxKC9h0Mu14OAy4F7gIeJHQYOhzrZdms7WZ6P7xvNm0ofg14IfCqiWmt\n",
       "1Umqwfpy4PGEI+FtgZcz7kQ0NEvAuYSeve+ZmH4hoZMM2d/PMBxvJWwwjwVeAXwJOIFh1wmE4PN9\n",
       "4MDs9dGEHtAXMex62Uw4r7gDYXs6mrA9Db1els3abi4kbF/bEra1xwOXNV66dhxDOM32S8B9E9OH\n",
       "XCcz/SKhU8hNhJP6Q/UcwnnZqwlp36sIK9JuhA5WQ7rsJM+RjA/krBM4mNCynrzkxHoJvZ2XL91a\n",
       "T8hWDbFePk44b38/4cDuJObXw1sJ++DNwAsaLWlzpuvkZMKlWd9jvM89Z+L9Q6gTSZIkSZIkSZKG\n",
       "wuFEJUlKmMOJSpJUUFuXbj2LEKxvAR4A/o7QRV6SJE15REu/mzec6LOn3jO0kXIkScodlbGtYG0g\n",
       "TtRotHLRLC3NGs2zf4Y871JXTW63fd5m2wrWDieq5PR5Q9dwDO2gs+/zt6ytc9YOJypJUkFttawf\n",
       "BN4IfJ7QM/xc4IaWyiJJUtJSzh94XrsFVVNofUi99WEeUmXdKpaunLMuUc7cf6Z61y1JkpQxWEuS\n",
       "lLi2zlmrZ1JOP6mcGClr14/2dCVNXFVX5mnRctqyliQpcQZrSZISl3QafDl905U0h5SavqdAtbq+\n",
       "L/c61vEuXK1gy1qSpMQZrCVJSlzSaXBJi0kxnSfVaShXK9iyliQpcQZrSZISZxpcktSJHtFdtmiv\n",
       "dVvWkiQlLumWtUd2UvPc7oYppeVuK//hbFlLkpQ4g7UkSYlLOg1etzaHXjStI0nF9HH/6F23JEnq\n",
       "OYO1JEmJSznXMFr9LVJ95p2q8DSG1JyBb2+5M2vLWpKkxBmsJUlK3KB6g0uS0jewtHchtqwlSUqc\n",
       "wVqSpMSlnGuwN7gkaWjsDS5JUhcZrCVJSpy9wSWpYwY+aMgg2bKWJClxBmtJkhLXyTR4m7e6lCSN\n",
       "mZJvhi1rSZISZ7CWJClxnUyDS9KQpZRqTqksfWbLWpKkxBmsJUlKXMr5C8cGlyQNjWODS5LURQZr\n",
       "SZISZ7CWJClxBmtJkhJnsJYkKXEGa0mSEmewliQpcQZrSZIS59jgUo95O1l1kbfdfDhb1pIkJS7l\n",
       "wxWHG5WkklJqlaZUlg5pZbjR/YAvA98CrgNOyabvBlwC3Ah8AVgbuRySJHVW7MOcvbLH1cBOwBXA\n",
       "i4GTgP8A3gGcBuwKnD71WVvWklRSSq3ZlMrSIbmV1HTNfQb4q+xxJLCFEMw3Ak+ceq/BWirATmTD\n",
       "UHQ5GyA7r/W7bq0Dng58A9iTEKjJ/u7ZYDkkSeqUpoL1TsCngFOBe6f+N8JWtCRJMzURrNcQAvV5\n",
       "hDQ4jNPfAHsDdzZQDqmXlpaWtj6mjUajrQ9127zlrP6LHayXgHOB64H3TEy/EDgxe34i4yAuSZKm\n",
       "xD5Eew7wVWAT41T3GcBlwAXA/sAtwMuAu6c+a1NAWpCdz4bHDmadl0Rv8DKSCdZ92+G5MQ9H39bd\n",
       "IZu3LOed5nC5d07rvcElSVIFBmtJkhJX9q5buwN3xShIGU2n9lJKI9Ux7ynNj9RHbZ5+cPvup3kt\n",
       "67cDP5k9Pwz4LmFAk1uB58UtliRJWjYvWL8I+GH2/J3Ay4GfAo4G3hW5XJIkKTMvDb4NYUCTB4Dt\n",
       "gW9m028Eto1crt6pqwd2V1Jc9kJenb3y1Qeux82Y17I+B7gYeD7wOeDPCTff+EPCXbQkSVIDVjsE\n",
       "Ogp4A/B4Qiv8NsJoYx8ktLhjmnnhYBdbbUM7+uziMmpaE+uEy6EdMeq96HXWTS/noe3bGtDdQVH6\n",
       "sDL0YR7UXwb1elmfWkDuCrPapVsHAC8B9gX+j3C++mPAPbUWTZIkzTTvnPWpwHuB7YBnETqZ7U+4\n",
       "fOuo+EWTJEkwPw1+HXAwoUX9SOAfCR3M9ifcNeuQyGVLZmxwqe9M20rJKD02+Ihw6RaEVvWO2fNb\n",
       "J6ZLkqTI5p2z/gDh2upvAM8ljGgGsAcJDDkqSdJQrJbveirwREJKfHP84qxgGlySNDTdvXRLkqSB\n",
       "8H7WkiR1UdlbZEq91ceBa+zlLfWDLWtJkhJXNFhfkP39RKyCSJKkfEXT4I/P/v5UrIJIbetjmriP\n",
       "8yQNkWlwSZISZ7CWJClxnewNbg9XqV5uU+lL9X7WaoYta0mSEle0Zf2n2d93xipIGR45qml9vAZ7\n",
       "Ut/mZ2hcfvVKMVORRinyOdyoktH3YK30pRhA+qrluna4UUmSuqiTHcykabY68qVaL6mWqyvmZXrM\n",
       "Ai0uxTqzZS1JUuKKtKy3B34FWDfx/hHwR5HKJEmSJhQJ1p8F7gauAO6LWxypmthpqxTTYkWkWu5U\n",
       "y5WyeanuWe9TfxRZqtcBT41dkBz2BpekHJ6X7rXKvcEvBQ6qtyySJKmoIodjNxDutnUz8ONs2oj4\n",
       "AdyWdYd4pC/FVTT17bYYVwNXMuR+aZFz1r9Yc0EkSVIJKR9y2bLuEI/mpbhsWaehrZZ1ykuxV8Ha\n",
       "DUhNqLqeVd0BObiJVLvSHcy2j1QQSZJUwrxgfWn29yNNFESSJOWb18FsO+BVwBHAS1jZNB8BGyKW\n",
       "S1JBdaSiTWFLaZsXrF9PCNa7AMfl/N9gLUlSA4ocTr8W+EDsguSwg5lUQJudvOxgJtWucm/wbYE3\n",
       "AD+bvd4IvBd4oJZizWawlhJnsJZqVzlYn0tIl6/P3n8C8CChxR2TwVpKnMFaql3lYL2Jhw8tmjet\n",
       "bgZrKXEGa6l2lW/k8SBhbPBlB2TTJA3c0tLS1oekeIqMDf47wJcIN/IAWAecFKtAkiRppaKHw9sD\n",
       "TyCkpm8E7otWojHT4JKkoWltbPBtgMuB2wjXa+8GnA88BrgFeBlwd87nehWspT7ynLVUu8rnrBd1\n",
       "KnA94+B7OnAJcCDwxey1JEmaIXaw3hd4IWFQleWjheMJl4GR/X1x5DJIktRpRYL1BuBFBd877c8I\n",
       "HdQempi2J7Ale74ley1JkmYoEoD/mjBG+E3A2YSOZkUcC9wJXMXsc+MjPDctSdJcRYL1JcCvAocS\n",
       "OoR9kXD7zJOANXM+dwQh5X0z8HHg+cB5hNb0Xtl79iYEdEmSNEPR7pu7E4YZfTVwO/Ax4DnAU4Hn\n",
       "Ffj8kcBvE3qDvwO4C3g7oXPZWvI7mdnilhJnb3CpdrkbUpFBUT4NPJHQKj4O+Pds+t8BV5QowPJW\n",
       "fTZwAfAaxpduSZKkGYocCr8QuHhq2nbAj+svzgq2rKXE2bKWalf5Ous/zpn29cXKIqkuo9Fo66Np\n",
       "jg3enDaXs9o3Lw2+N7APsAOhc9kSobW7M/DI+EWTJEkwP1i/ADgReDTwronp9wJvjVkoSd1gGlxq\n",
       "RpGt61eAT8UuSA5zPVIBbQZMg3VzrOvBKH0jjxMIPcDfwsrAuZwOf3dtRctnsJYKMFgPg3U9GKUv\n",
       "3Vo+L/0o8oO1esKdgCSlLeU9swcEDTFYd5st62GwrgejdMv6L+f8bwScslBxJElSIfOC9RWMW7fT\n",
       "kd5Wb494lN5tLr9hcDkPW8pL3wMCKXGmZqXaVR4bfA/gd4EnEwZIgRBIn19PuSRJ0jxFhhv9KLAZ\n",
       "eBxwFuHmG5fHK1I8KQ3Xl1JZYpuc15Tntyvl1OpcluqbInmrKwnDjW4CDsqmXQ4cFqtQmdq3sJRS\n",
       "dimVJbbpnWWq89uVcqYk1fXYZakOq5wGvz/7ewdwLOF+1rvWVChJkrSKIoebxwH/DOxHuJxrZ0I6\n",
       "/MJ4xQLsYCYlL9WWtdRhpYcbbZvBWkqcwVqq3UK9wV8HrJt4/wg4uZZiSZKkuYoE688CXwUuAR7K\n",
       "pjXa6m2is0gfWgix58FOO2mat9ybXK9dP+Lqwz6qTV1fP4sE6x2A02IXRJIk5StynfXfAy+KXRBJ\n",
       "kpSvSB7gvwm3y7wfeCCbNiL0Co/JDmaJ6XoaKTV11ad33UpPjHqxrhfTof1X5Q5mO9VcEEmSVEKR\n",
       "YA3wS8DPElq7XwEuilYiSZK0QpE8wNnAMwljhC8BryAMN3pGxHKBafDGmF5rR4fScjM1ve50ZV3t\n",
       "Wxq8b+sqpDMPOcu18qAo1wKHAP+Xvd4GuBp42kIlXJ3BuiFd2QH2Tao7jzIM1vkM1ulJdR6KBusi\n",
       "vcFHwNqJ12sxkEqS1Jgi56z/hHDnrY3Z6yOB02MVSGpL00feqRzZL6LpeehKncUoZ5vz3pV6nyfV\n",
       "eSharqKl34dw3noEXEa4A1dstt4b0pXUYmyppskkDUrpc9ZPAm4AnkEInMvvXd6jXVlb0fIZrBti\n",
       "sA4M1pISUDpYv59wA4+N5AfOoxYv01wG6xx1BFbHWs9nsC7PDmbtGNq6mtJ+r4F10Ftk9kFKK23R\n",
       "3+jKjmRoO8A6GKzbMbR1NaX9XlvBukhv8JcyHlr0bcAG4NCaCiVJklZRJFj/AXAP8Bzg54APAu+N\n",
       "WSjNtrS0tPUxbTQabX0U/Y4yR4aT37/ab3RR1Xrpm5SXs8snGNq6Wse81lVnbdV7kWC9PBjKsYTz\n",
       "2H8PrIlWIkmStEKRYP0D4H3Ay4F/ALYv+DlJklSDIu34HYFjgE3AvwF7E4Ya/ULEcoEdzHLN69xQ\n",
       "teND34ZG7Io+dBKyg1k+tylNK7H8FuoN/ghgD1aOeHZrwc9WZbDOYbDuD4N1+r9XlduUpi0arIsM\n",
       "N/pbwJnAnYzPX0P8G3nM5EpbL+tQk1I+iEipLE0b8rz3waLLr8invwM8C7hroV8qb2bLesjBOkbL\n",
       "OoaUypKqVINimXK5nPNZL1pA5eusbyVcuiVJklpQJA1+M/BlQk/w+7NpI+DdsQq1Go9UF9NEi85l\n",
       "tDrrqL8cFbC/2loORYL1rdlj2+whSZIaVOawYEfgf2IVJIe9wXPUcc461XOlSoPnrNNkXach5bHB\n",
       "jwCuBzZnrw8GzqmpUIVMD3+Y6lCIbSs6DF4TQxW6jLpraENZdsWQl4n7k2LB+j2EQVH+I3t9DXBk\n",
       "tBJJkqQVig4bOj0AyoN1F0SSJOUr2sHsZ7Ln2wKnADdEK1EBQ0wDFdHmOS3Pg6sunpvNZ730U9Hl\n",
       "WqRl/QbgN4FHE27q8fTstSRJakDKh2dbDzdstY2lOoKZy2iYHAO7OUOul5Tmve6y5Hxf5Rt5PI4w\n",
       "Pvg6xmnzEXB8wbKsBT4APCX73EmEu3edDzwGuAV4GXD31OeG2+1vjlSDdR80fcDRhwMc17n09GG9\n",
       "GrjKwXoTIdheBzyUTRsBXyn4w+uz936QEOx3BH6P0Lv8HcBpwK7A6VOfM1jnMFjHY7Auz3UuPX1Y\n",
       "rwaucrC+jHAjjyp2Aa4itM4nbSZc/rUF2AvYCDxx6j0G6xwG63gM1uW5zqWnD+vVwFUO1icABwCf\n",
       "B348Mf3KAp89BPgbwqAqBwNXAG8CbiO0ppfL8KOJ18sM1jm6EqxTKovicTnHY9AdrMr3s34KIWAf\n",
       "xTgNTvZ6NY8ADgXeCHyTMMBKXrrbwCxJ0gxFgvVLgccyvuNWGbdlj29mrz8JnAHcQUh/3wHsDdxZ\n",
       "4bslSRqEItdZX8vDU9RF3QF8Hzgwe3008C3gIuDEbNqJwGcqfv/gdGV84K6Usw/qHjfZ8ffT4Bjt\n",
       "mlRkDfgKcBChdbx8zrrMpVsHE3qTbwt8h3Dp1jbABcD+eOlWbTx/OEwxr/tc7Ttd56TaVe5g9rwZ\n",
       "0zdWLUlBBuuS3HEOk8Fa6pXKwbotvQrW9uxUHxmspdqVvp/117K//w3cO/W4p9aiSZKkmVI+FLZl\n",
       "LSXOlrVUu9LXWe+2yhf+qHpZ6tOVIJhquTSbgUjStLb2C/OC9ZWE1u0Sodf2f2bTdwW+R7j2WpIk\n",
       "RTbvnPU6QkC+BDgW2D17vCibJkmSGlCkDX8d8NQC0+rW+XPWTadL5g1gYRp3dU1fstSVUziT2l7H\n",
       "PDWhAag8NvjtwO8DH8m+5FeBH9RXLkmSNE+R4UZfCewBfBrYkD1/ZcxCSZKksZTzSLWnwfueQos9\n",
       "f11M25ZhGnx1KaXB2/h9qYE4UnpQFEmSlACDtSRJiUs5b2QaXCqgyfW67TT0UE8/qFktx4rKvcF3\n",
       "AF4DPAXYPps2Ak6up1ySJGmeImnw84A9gRcQbou5L+HmHp3Thxu5j0ajrY82f7uN31f7JrehNraj\n",
       "On677XmoKsa25/bcHUXW1KuBQ4BNwEHAGuBfgGdHLBf0YFCUGNpMz5g+TFMq64TrQ1wx6trlly/F\n",
       "NHiRlvX92d//Ap4GrAV+sqZCSZKkVRQ5Z/1+wh24fh+4ENgJeFvMQqma2EeDfTzy7kPLoqvlVvtc\n",
       "d/KlWC9FSvQ44LsFptXNNHiOecGlD4GnadbZYqy/5ljXg1E5Df7JnGmfWKwskiSpqHlp8CcBTyac\n",
       "o34JIdqPgJ0ZX8Klhs07om76Gts+HN1PzkMf5y8266g51vViur59zwvWBwLHAbtkf5fdC7wuZqEk\n",
       "SdJYkUOLI4BLYxckh+esE9P1I9PV9H3+pCHr0PadW7AipV0ewezJ2fPlOY49gpnBOocdzOLpysYc\n",
       "u5xN331MY12pz6bLmdIws1XLUuJzlTuYLY9gdgxhBLP96OgIZpIkdZEjmHWMLet4bFmX/37XuXp1\n",
       "pT5tWZf/jkVb1kUGRZkewewOGh7BrCs70bbZG3wxXTn4iV2WosF5tf/FKGebd/2q6yBm3v/qmIch\n",
       "H2zFWAdTGTfdEcwkSUpcyodSWw9n+t6iKyOVmza08ftN61urow5lWhm2rPPfF3u9aqJlnWoafN68\n",
       "V91/1bXOxUyDv2XydxgPirLs3asXT3VLNWgMLZDXoYlzaE2OF99EurDNgFzmt2MMXlR0WdZVzhif\n",
       "q6rNwYvmbVOLfE9Z84L1owjB+QnAMwkp8CXgWOCyhX5VkiQVViTU/zPwQsLIZRCC+MXAc2MVKmMa\n",
       "PDExUkwpSyldWfR7Yres+74OpDwPnpYJqq6DbfcGL6Fyb/A9gAcmXj+QTVML2txgu9Jbui59mKe6\n",
       "56Gu76vjHKSGqavr4KL7yyLB+sOEtPcGQsR/MbC+9C9JkqRKiob3ZxDS3iPgq8BV0Uo0Zho8R0qt\n",
       "2ZTK0kWpHLHXJUYv5Ka3/ZT3Naks55SVSYPPel+Z76xatiq9wVNe4rV3Le3Dyl60J2ITl2F0pT4N\n",
       "DOVUDbrTYgTredo8J9/E5T0x1uOi5W7zkrnVxJ6HVIJ1kbHBJUlSiwzWkiQlrkgHs9bVlYZoO11T\n",
       "h7pShrO+s0xdd6U+Uz0X3HSv1hiqDopSRzmbXiZl/hdj4Iw2x4RPWdMD87S1vdmyliQpcQZrSZIS\n",
       "l3LeY+F8Rqq9bRfRh1G1JKWhK9tpSld0tDWCmS1rSZISZ7CWJClxnegNXlXKaZ0YupIiV3OavJGH\n",
       "xrqSXk65bJNSKmdbpwZtWUuSlDiDtSRJiet1GryP2kwHpZSKKqPqeMt9OK1Q9DuLzmuZwT9ijy09\n",
       "tJR87DH8q9ZnH5dDimOh27KWJClxsVvWZwCvBh4CrgVOAnYEzgceA9wCvAy4O3I5VtWVDiFtlrOr\n",
       "R9BDHp62qKpDzlb5/iFIaX6LlqUPd9yrK3MQYwjTRespZst6HfA64FDgacA2wCuA04FLgAOBL2av\n",
       "JUnSDDGD9T3AA8AjCS34RwK3A8cD67P3rAdeHLEMkiR1Xsw0+I+AdwG3Av8LfJ7Qot4T2JK9Z0v2\n",
       "eq6upl9TVbU+Y9zxq21d7LDn9hB0db5TTSGX0eYpuKqp7qpp/qplqVvMlvUBwJsI6fB9gJ0I568n\n",
       "jahhDHBJkvosZrA+DLgUuAt4ENgAHA7cAeyVvWdv4M7Vvuiss85i48aNcUopSVLiYrbhDwY+CjwT\n",
       "uA/4EHAZoRf4XcDbCZ3L1pLfyWxri9s7QY3Fvi54Xl2XWQ59qGutLsXrUdU/MfYnsa9bX0Dul8Y8\n",
       "Z30N8GHgcsKlW1cC7wMeBVwAvIbxpVuSJGmGlA99bVnnsGWtlNiyVhNsWQ9suNE+7Dxiz0Nd39+H\n",
       "uh6SOnZADtLTPX07qE5pCN9p3nVLkqSeM1hLkpS4QaXB+yD2uZtpVQcV6KIhn3+NPX99SFk33Wej\n",
       "D3WWsq71fbJlLUlS4gzWkiQlblBp8JR6PlYtS9vlLqoPacCu1HXdqt5KcJ6UeuXOU9c615XLGlO6\n",
       "NHPedzaxrGf9Xtv7oWW2rCVJSpzBWpKkxHU+DR4jZdeE2D0Rq9ZLmVtd1nFbzLpuaaf2NZ0ujPF7\n",
       "de0/ujLITKop+WlFR26M8dtNrsfzfsuWtSRJiTNYS5KUuE6mwetIezStiV6mdXz/PE0PGtJ0WrXt\n",
       "NGBVdd/cpczplTZ1dXl1RUop8hhSmaei5bBlLUlS4gzWkiQlrpNp8Kq9l/sgpdRUSr1vh6zuOkxl\n",
       "EIguS6V38SJlcbnnq3sfbG9wSZJ6wmAtSVLiOpkGn9SVVE3K5Sx6KqGOnsZ90Yexz6uIMSBFGUO+\n",
       "jWnRda6P9VB3unmR76y7fu0NLklSTxisJUlKXOfT4GpO1XHDu5KWcxCWIOVBUdq8EqSu9aOL24bG\n",
       "2rq9sS1rSZISZ7CWJClxvU6D19VztG9pq6rpwz7Me1eUSblWXT+7vl6nNB59E6dQYs9vyuvAvHLW\n",
       "cYvfpq90mVVOB0WRJKnDet2yruua0FSPOOuan9gddbp4PfFqutL5rGiLZNZn6ixL3bpSzjLabO2V\n",
       "KUtK6hgnoo7vj/09tqwlSUqcwVqSpMR1Ig2eUgpmXuot5c4pVRVNhVVN8TQx71VTizHSgE2nFute\n",
       "ZjFSiV2p27o67zU9VGjTnaVS2n/FUHW/vihb1pIkJc5gLUlS4lLOVxTKIQwtBRM7bTvkIRWHti7V\n",
       "Ych3wZqnK+t/38oZYxtuYZ+Y+09b1pIkJc5gLUlS4jrRG3yeIQ2vCN0tdxdYt4GnA4rpwzCvQzrN\n",
       "VZe25t2WtSRJiTNYS5I0x8aNG9suQjeC9Wg0mvkoY2lpaeujq0ajEWeeeWb08bxn/XbR5dCHutbD\n",
       "LbL9db0s07835HU8pXmvug6U+dxksG5r3jsRrCVJGjKDtSRJiWs/hzHbRuDItgshSVJDvgI8r+1C\n",
       "SJIkSZIkSZIkSZIkaTjeCNwEPATsNjH9VcA1wCbga8BBE/87A/gWcC3wMWC7Er93JHD4AuWVJGlw\n",
       "DgEeA9zMymB9OLBL9vwY4F+z5+uA7zIO0OcDJ5b4vbOAt1QrqiRJ6VkHbAb+Fvg28FHgFwgt3RuB\n",
       "Z9b4W9PBetKuwG3Z892ysuxKuNHPRcDROZ85jhDgrwQuAfYgzM+/Z991FfAz2bQvEVrx/wTsl33+\n",
       "Q8A5wNeB7xAuV1kPXE+oD4BtsvddS8gAvKnozEqSVJd1wAPAUwhjHlwOnJv973jg0zmfOZAQCKcf\n",
       "VwI7z/mtecH6t4H3Tbz+deBe4E7gvBmfWTvx/LXAO7PnZwJvnvjfRcAJ2fOTGM/Thwgpdgjzeg8r\n",
       "6+Fg4BnAFya+axckSWrYOkILetl64JXZ88cRgnBdZgXrowit2V2z1wdkr3cntKw/TTi/Pe1phEC6\n",
       "iZAduDibfiYr0+A/JLSQAdZkryG0nifndboejiccENwE/AXwAtIexEmKyuFGpXb9eOL5Q8D9E8/z\n",
       "7jf/BPJb1ldRvuV5EPB+QmD8z2zaYcClwF3Ag8AG4Iicz/4lIYgeBPwGsMOc35kVZCfndboe1gB3\n",
       "E1rYG4HXAx+YNzNSn+XtDCSl69vA0yt+djJo7k8IxK8mtF6XbQbeRgi+9xHOV1+W8107A7dnz39t\n",
       "Yvq9rEzHXwq8AvgIoYX+1RLl3Z1wmmADoeU9KyUv9Z4ta6ld0/fnG835XxWnAN8HHk1IWS+fm/4D\n",
       "Qur7rwmt8uWAfA3wYcJ5403ZtMnz2cvOAj6Rve+HE2W9CPhlxh3MfotwrvoaQrA+deI75s3rKCvz\n",
       "l7PvOg84fdW5lSRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJ8f0/BZ2GiOWmpV8AAAAASUVORK5C\n",
       "YII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7d4995a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHMCAYAAABY25iGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmcHFXVv5+amUyWyb4TIGFNCAQSdoLsoOz7puwiLggK\n",
       "ioqgr8sryiuigIqiwk9ZRQRlEWWHsINsgbCHJYQESCCE7Pv5/XFOTdd0uqqrZ7q7aibn+Xwm1V23\n",
       "6p5v3XvuPffeqq6A4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO46xpPABIhn8P5FBXnKa8\n",
       "6spSk+ty31rTdMVpyquuLDV1Rl2JSHtOqiJx9rPUlWQ7j7q8Diuzn8c6LJdWa/JYVkn281hW5dJq\n",
       "TR7LKsl+LnU11FuF4ziO43RGPGA6juM4Tgo6ccCUpqwVrNnIsSBbZa3CcZxa4P1re8jlOrLul03q\n",
       "qqSN7Xal1Zo63wsQAXkozYHp9ssIzbNudLC85HCQAVVTU972GuRbqcmjri5Qh7JhHdtiHusw1n4n\n",
       "nmGyMmsBDtUchY6qYl714Ebg1KxFOE4NGJS1gLzSmQNm96wF1AZpzFpBBXSrfpYSVD/PmtGZtDpO\n",
       "WrKe3eWWCgKm3AxyZO2kVEzPrAVUH7kBeDxrFRVQzYDZs2jbGehiAVMaQLbNWoWTFzrV4L0uVDLD\n",
       "PBg4oVZC2kGPrAXUgEOBbbIWUQHVDJi9bduninnWmq4WXPYGnsxaRHXwh1Y6QLh6F9PHSm+Qr9RN\n",
       "TVmkuV4rU5UuydZgCa7ddKaZSFqa6FzLIc1VzKtP0bYzcFDWAqqMtaladD7SUucZS0sdbXU1wkAZ\n",
       "18fuA/y+TlrSsBQ4qh6GKg2Y1ewgO0pXDJgAS7IWUAFr6AxTIu2gU91zLUcv21YQbKRX+WMAmANc\n",
       "XKGejpBWl7M65QJmjpCwDxpdD2vtnGHKP0EOrbqayuhiS7IS1sXShGMGt+2sM6eaAbOfbQeWTpYm\n",
       "kIlVtNcRokG9K3XMQ4q2adgx5XHNwOl1HGD0Ln+IE0PYt5bx7VwMFq+op7GUAbO1YEba50OAbxQd\n",
       "cxzIplXUVo6Y0Y8E9hvBzvYU7VBgIclP/04B/l0fObJD/G9dW/2hmveJhhZti9kXeLSK9jrCRsBk\n",
       "4H0Kgb4rsK5tRxR2yU5lztk6Zd6v27ZeP1nYoE52KkRiBoRtjglA1qq9lljKzTBbirZZEr48Zd/C\n",
       "LukFsnctjKUImLI5hfXqkcA59nnbyKwI4GrgxTrOgOIqK2yQ6+hG+q9+iIythaAOsg7wGtCo93tK\n",
       "MgyYUCc9jwF3xqSFjT4yw5RGkGWRJZJKGQrMo03AlK+CfM++2IxB8hCgdkCfZl5Cq5/VA/mxDQY/\n",
       "087zW0BOTzhgI3SFY/3Ivq+XyfRkkI1B/gPyMsgCkGsiNgOQ84GNgU+oX3kdlZMZUDFP6sRCZHV9\n",
       "sgPIfPQBy5lF/Ws9CQftkZUU+RLIt+1Lv6It+tYv2cw+71nbFx9IX5DHQW4FzCYTdT8A5wF3gNTd\n",
       "B8QqVkAO1p+ViID8C2SKVjCADNWKlldBfghyYJUqO+lNP/N1iU6Kll5kgmncXYOlCMjtIM9b+rq2\n",
       "zypbutlftPL7Ek+ZN3lIk3US9oCD9AT5NEgf228BPPoUnwTqjHIDyGMge8VkLyDzivaNMaeo8I0Z\n",
       "0jshMIe2Fkb0WZlIA8iWIC/aMVva/g3s+0Q75j6Q7ybrkib0DT/9QO4EeQjk55FDPig0PPme5f8p\n",
       "kF2tc7lQgwhoY5Xr46+nlP2K9ofJa4PMBTnR9CwvcUwTGuyHVaCnnO1oWxSQv+q1y5dAxoN0p3Ww\n",
       "Utz2pB/IeiDnRupokJWZDXClB8gMkL+DXAXyP9aW5iToEpC7QO4o0iYgL5gPRPc9CHKQ+ZP9tWYV\n",
       "UPmqUJIuATnJ6mIPkLNsuw3I83b9DehbbYoDV0ceTqqkDrePJO1Xogx/0wEdaXWVetPPaWb/FPve\n",
       "qH1Ba1sMB24TQLYAGWffZ1n6Waw2IJCfgBzXMV2tSWcVldNI9GePAjLdtj+IpP8LZDtrI81W7zaL\n",
       "lmaQMWntp11S2x6CJ60ATgCuBX4JfA9kGXCYHfd54CLgR8DFIJOBucACYDvgp8Bv0WXF6XbO7ujy\n",
       "1jPAcvQNPgNVW+LgoDetS3RyMXrf5d7INZ2OjmoB9rPjrqQwMz0T5FHgLmAZ0KwdCtvo9cgPgAHA\n",
       "NGAxOrublOKnd5EOVO5AnygDmA3MBMaD/Bedof8aXTo6AF3eOxAYB1yBdv53oveI3kWXvuaiM9DT\n",
       "gZetDG4Gzk6WJAejM+8P0WWWkcAFwDyQrwNboiO1wehy3E3AKqCXOjrft3zCDOcAdwObAs+go+Jw\n",
       "NPoocBVar7unLysAjgGuRZejXqd1tinPojOTF4E/UBhVhtc3EdgDLZspwER0VWQj3cc8tN7HmrZN\n",
       "kutRbkZnzw3AhsA7wFS0/E9DfeZflvaQdST3oLPyVcCRVjafA/mVlhFboTPTm4D+lucq1F/nqr2y\n",
       "vrUf8AFwPrp8+lngPSBcvlsGcjtwqAYr1gFmAZtTmA38hrZL23NA+ti13ofW9St6Xfwv8DCQtCx7\n",
       "GDDf/tY1LTtZOe2O+v0k4D+of/0a+AXqj4NArgP+ivrw5ugS8CBgbbRO70R/6jIKbUt72/ndy5TX\n",
       "wcAtwJ9j0j9s+1Wmo/XaHTgO5ArTvhJdSViK+uu7aFvtg7alZktbBsxNUYfXoX5+EfBPkD8AzwOX\n",
       "mNa90HJ8BDgeZDe0jucA21tZzEHL9nzT0EKhP11k+3rbvpnA4DL+/gaFJexX0QdoXge+DTJat63H\n",
       "Po2ucs1B/ePASEZDQO5G+02Au0HeB3ZG+xzQCcOBwHrAVWV0/QxtH7uiPjvF7H4XGIOW+zAI3gE5\n",
       "HvW54aoj+F+QpyiU5xNoXUYGQzLDymtjkL+h/fwHwDpxusrVroAMgeDDEkk7Aw8CM4CzgJshsAdW\n",
       "ZARwObAbWgGNaIVcoGJYH+1Q+gBPo41jbbSil9rfSggGxmgUkF2AN9AGfir6qrKewP7ojeBDgEuB\n",
       "K03jumgjGoIuDX0ZbYQXoEFiMloJA9HGfTBaySvRDm4JsAyC8QnlJiCfQxvjIApLG3eineumaOf1\n",
       "CBoMhqAd2tPAMxAss2x2B05BO/6nUOcfAlxo5+1v2voDlwHHQjA6oazut2sehNbFh3bNU1DnngG8\n",
       "iXZoy+3vRiuD8XbuSvQ+wVNoZ/9bNKh8DTjJ8vw7cDzwEdoJDIbgMwm6zkYHOWsDfSC4Fr33cKSV\n",
       "3WK04R6Fdg5PAYejg5gxaAC6wjT0Nl0r0MbY165xltlfDmyCDjSeguDzCbpusrwvRINtH2AXu8bf\n",
       "QTA5cvhw9OclB5i9J1Bfug74DjpQ3NrKuqdd65umZRHa0Q4GVkEwOEaT6YpLk0F2vV9BffpttIOZ\n",
       "bvafQgN+bwhm2DnjKXTCK4HZEDxsaQ0QrEJnyMsh+Ci+rAhA9gB6QFB0f12aCz4NID3RdjedtgPF\n",
       "DYCXrDw+jfrPh3Yd66OD2JnAf628xpveQ8roGovWXw8I3rCBQYD2L7ugwb0FDfbPo51rs5XdHuiA\n",
       "ZriWAb2snMajg4u5qK8J2qZsABBsEKPJdElv1LfnAseh/dS2aHA/A4LIKz9lJDqYHY4O/l43W0PQ\n",
       "trcFOhkRO2ax7Rf0eYhhqD+shGC9+LKSM+zzepbP/cD1pm0X4AVLXwsdMHyI1tfJwHNo37iplc0Y\n",
       "dID0GFrX76L92Euo/y+w48ejbX5Igq4bgI8tzzloGx8BnL26r5VD+qBl+SLqb2PR/vMltN/Yw/RN\n",
       "AB6C4E8xupKtVHpCBVkXLckAunzSgi6RJv0msfjF3ZGlxbTLKRKg914qLZQu8HLluuK60uO+VRl5\n",
       "1OV1WBmdTVf1T6oieSxMbxCV4brS475VGXnU5XVYGZ1KV2d++brjOI7j1A0PmI7jOI6TAg+YjuM4\n",
       "jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziO\n",
       "kwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpOCpjLpk8j2/yWblLA/K11x\n",
       "msK0vOnyOoy3H7c/b3UYpuVNl9dhadtJaXnT5XUYb99xHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdx\n",
       "HMdxHMdxHB5AH+3N6u+BHOqK05RXXVlqcl3uW2uarjhNedWVpabOqCsRac9JVSTOfpa6kmznUZfX\n",
       "YWX281iH5dJqTR7LKsl+HsuqXFqtyWNZJdnPpS5/04/jOI5TQ+QwkMasVdSDXEb5hP31oJOPIGUs\n",
       "yNKaq4m1X3Z/vcijrk7uW3Unj7q8Dlc3ISATKrSfS9/yGeaaxwSgOWsRjuOsUXSJGaYHzDWPLuG4\n",
       "juN0BiSwD90ylVElPGCueXSygCmrQLbMWoUTh4zNWoGTa8JA2SNTFVXCA+aaRycLmAToMrKTT3pm\n",
       "LcDJNWGg7J2piipRo4ApAcjEyHTcyQ/ddSPl/mu3PNGZtK5peBtvN7I5SFeftIQBsyVTFVWiVpU1\n",
       "CngU2L1G+TvtJxzpdaaZQWebFa9JFC21SQCSg+U3+SFI36xVlOF5YP+sRdSYOsww6zfoqIEh+Soa\n",
       "LAE2qn7+Ze1/H2SH+ttttd/Bzr3mHU4/23aCgNlalt0zlVERcgrI1+1zN5CuPmjsVfT9y8DiLIQU\n",
       "8SNg56xFxCPD7MM6mcqoPWFfVsvBy0qQo2uYf2ra8VsYecZ+dyMgP62RfdHOaLXdTWb35g7abY8m\n",
       "S5MOLj3IMXYNlQbetL/DvMLyH9Uede2gA7+zkj6m9QeRfYNAzo18/y5IcaddY12J2a5QzQByROFz\n",
       "hzSVS0ubfXuXT5Pa4cFFuy6p8Jo7QpIuqaOOIttp0mRH07gQZHjNVWX2e0fZwq7zRxXar0BXTeq6\n",
       "br/DXGnbF4HxNcg/ZK0S+0bYth4OGEfMzE16gmyT4vxNbDuyWoKKCMuoT43y7yASgIQrE+EyzsDI\n",
       "AQcAPy0cy/nAtvVSl4JGYJV9ttl89H6xbA9Sy3aRxGyQq23mOxlk0yrk2QLyM5Ch9j1ny+fyf9r2\n",
       "8oSsDTwC3ISuxm2VrZ6aEs4w+9cmexkd+bx2bWwUqEXAXG7b64CJkc6v2mxQYt8oYJptI9T14aO4\n",
       "xnk68N8U548p2lYRaQY2BN4ExlU//6qwLfC61VnYyCaAhEtXVpfSGEmPlLnsCTKzHkJ1ZiCl6nSJ\n",
       "rTSEAWmEzZa7AY8DD9r5Le1fspXtI0EKnenJraUf5pIAZGNgEHAccCGwBbB3+2y3oQ9wDvA2yG+A\n",
       "08xmg/pbcduTbUC+WAW75bjDtmcDe9mANQe/BZTdgBPsyzzgNWDzzORUBUkafIcrbgPake+OIIPj\n",
       "+285GHjVvjwEvAuyU+V2qkeF01zpAfKWTZH3BbkU5GxL61ZYOpMeIAd2wH645NLfGuba6L0jWwaW\n",
       "BYXORAbafltDl/F07GGAckuyW9jHoPAHIN9bfdlANgQZZJ+HWGf/Ash9tFl2bHNOM8jXWH3JtszS\n",
       "hnQDWVlYHpHfRg7pT+tSsvSq8kgtqQ4DkF3Vfuvuw03jcJBDaF3iFGsY8i37vjbIBPt8kqUFNqOI\n",
       "Ln2VuP8pDWV0DdP6APRp75iOVk6OaP0UyA0UbkeEf++BPGqf77HtfKvvK+17T7VZ1rfC9jMskv8A\n",
       "kIsi30+wcjgL5FSQDSJpT4OcD/IIyO9BloIcmWAzYjtW069KXLPdFpFpIFfYoZ+yOntr9XbQbsr5\n",
       "/MYgb5TQdpWVWS3ujZerw/BvOcimFJZm/1wDLWl0FfdJn9c2lDrbBtM/MSb9iyAfg9wS2TcM5NDy\n",
       "utrU2YUgu4Gsj/bpVxSl9wR5HmQ6yPEga5m/tXdSWFJXuZmXaKdAD/RprrWAJ9EZyhbAAnR0PxWd\n",
       "ER1n+/pBsApdgrwP+NjyGAr8A9geWBs4w9KXAvPRhztagI80/+CuGI1S4nqWAb8Bvg38P+Ak4Gb0\n",
       "ZvMetu9O4G/APcB5lvYQcChwLbCx6XzHrms5usTUB/hA9QcvJ5RbqOsC4DvA2+h/E9MLOMqOOR34\n",
       "JwQzQeagP5n4pu0Pl+qOAc60z/cAF9lxw9GHKr5ix9yCLoHvAMEDCWW1FfBMZN9Y4GHgMrMdztDe\n",
       "o7DUfTxaN7uiTzvPAh4DPkHrapqVTw8rn2YK9TjU0vtA8EGCroUURqBT0dH2+qbvInQG9B6wp9ld\n",
       "AAxG/eQKYL+I3qW2/z/AvuiS9kS0vu9CfbA7cDfwMwj6JegqsZuZ6HL2bGAFOlM8tOiYqcDtqF+f\n",
       "jraV3VB/eJe2D3gsZ7W3nwSt/5TRNQv4t52/J7pkfQa6hP0L1O+GUngg53a0nL8BwXOWXRPwfeCH\n",
       "pu8xdHY/EvXZocBktC1fF6Mr1PQq8Cd05noKcBhaNyHfR9tblL8ANwB3Q7DCspuAzsqv1/6jLBKv\n",
       "q3UlYld02f5ttF8ZBhQPEm5EZ6RzgSdQXxqG1nUfdGl9CrqiMQddcm9C2143tRcsKaPJ0gR0KfYk\n",
       "CBbY7vWAt+yY5cCPUT+fZ7pvtf3zIYgOBoO23xNJKCs5w66lAfi17b8AbY/PAv+LLh2/BXzath+g\n",
       "/fhMtH5/Yzp3RMtnmW0PQdvwRLQP3BM4EPW1kyD4S4Kum+38UswAfomu1kyF4BMtD84DopOND03H\n",
       "o3ZtwyPnN6Nl3B2te9A6Hw7Bs6V0pQmYDwM7AU9b5s3A62gDG4AW2qct/TrgCghWRrL4Ftp53IMG\n",
       "otNM4HfRDmcD1CmHmp63gfWAKRCMi9Eo1uCvRzvDZRBcGUkejna4B6AB70xgNPoD+Gcs/9FoZ7+R\n",
       "HbMMbVBhB/wx2hia0Q6yGzAXgiEJ5Vbc2T6KBpD30AAessLKYgRajv3Qin0G7eBfQoPVp9B7wZtF\n",
       "zv0P2uB+a/n0BmZCMCKhrOYCLwAnqpZgCUjovIss/9lWXv8GXgEOBrZE622kpS8yrWujDbrBbM5D\n",
       "g1kPdBAyEy3jTyAYkKDrJuBi1L+GoQFma+Bf6DLfc2hj3RsNdKPRgcJ0dODwD7Qjuw59MrMn2nm/\n",
       "iQbNaEAuIjY4iY76GYEG77mojz6B+mg/dGA4EFgXraPewHgIfmFZNEOwrCjbAB147Ip2Tnfa9Y5B\n",
       "g+ogCM6L0RTqOhpdvluJBpz30ADzEgRLbTR9HnAyei+8F+r7l0HwZky2RwJfQNvAM2gwHo+W5VbA\n",
       "bAi2TyirK4BX9dplFATTTMdKdMA6Ba2r/mg9XYMG1ehTjU+ivrwlhT5miebPYrRtPIF2fC1oW+wJ\n",
       "wdHxusr1bbIXGjgnom2sL+rP29v2PbR+56B13oL6U1+0TfcxO6us7D7SbdA/wbZo2ZQKcnIsGqj/\n",
       "Htl5LzqIH4q2rcVooApXSEbYvrB/WmYaF6HttQGtR4Fg6xhdYrO/wZa+o52/Ai33ZehgdQDqG0vR\n",
       "oDPDPjcA9wPfMD1RG+HA7uvooGRnCoPzF4BREPSN1xXdL4NRn1iM+vxbhQHHaqf2pTCIH4b2BcNQ\n",
       "/5qBtt3+aL2tQH11CDoI6gdMh2CTUrpSBMw0P0yuaKQTcz6NaitYDtLbCiPFCLIaSBM6G/rYGnuv\n",
       "+MooN4Ik0OUBVgCrCoMHGQ+8rB2pdEcrcQoEU2OyCoAeECymzRp+WM4yFG0k79v+FTG6OlBWMgSC\n",
       "2WWOscYbCLpM3ALBPA0aLLeZQo3rsBL/E+vw6qGrYlL4Via0ox3KOuiAaX6ZrEehq1W90QHmO2iH\n",
       "uAztkAeiM/Nt0c5yHtrBNUPw68p1tRfpbppa0ODxkX0XtO/qp9vgvQTb7dQlAdr5N6MBbZrlM9ts\n",
       "N6NBrsU+h7NiQYNMAwSPxtguDkwNKWf3SXpbgMWl85FeECyK2FqZTlfdaZf9at1raC8p193rSpl7\n",
       "FJmRx7JKsu+6KrOdR11eh5XZzqMur8MK7Hf11zI5juM4TlXwgOk4juM4KfCA6TiO4zgp8IDpOI7j\n",
       "OCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4\n",
       "KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgpaCqTPols/1+ySQn7s9IVpylMy5sur8N4\n",
       "+3H781aHYVredHkdlradlJY3XV6H8fYdx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx+EB\n",
       "9NHerP4eyKGuOE151ZWlJtflvrWm6YrTlFddWWrqjLoSkfacVEXi7GepK8l2HnV5HVZmP491WC6t\n",
       "1uSxrJLs57GsyqXVmjyWVZL9XOryN/04XQAZCNInaxWO49QKuQRku6xVlENAWkA2zs5+RfvrgY8g\n",
       "K6MOumQeyMOVnlTh/nrQCX1LetZVyWr2K9pfDzphHWZKSl0iIH+ouZpY+0qaGeZPgNeqq8Vxqkof\n",
       "YIOsRayhLMpagLPGkPmKaBoBWY4g64D00dGL08nxOnScuiNDQQbXyVjmAbPcy9cBltRcRbYMzFqA\n",
       "UxWCrAU4zhrIs2iM2LAOtjIPmGkEdIGAKd0TEm3QIN3qIsVZA5F+IF/PWkXtkMw7MiczRlC/2yGZ\n",
       "+1kaAUt1I510BC+NwBLbliJccm6pkyBAtgA5rH72nNoizSDHJBxwAHBJvdRkQN+sBTilkG516LeX\n",
       "1Tj/KJ0iYIaBprPeywx/btA7Jr2XbesYMJkM3FRHe2sCWQ7otgOuTUhfpZtqdF7ydZAVJfafCTK2\n",
       "4/m3i34Z2XWSWQZ8t8Y2SvhizegUATMMlHEBJ++Eo9+4Rh1eX6+Y9Cojo+3D8vrYK6mhJ8iR2dnv\n",
       "ctiSv8S1kdDHqjET24bCINaQALgI+EoV8m8PnbVvWBPYtMb51/NWVqcImFnMwKpJ36JtMfW+vldt\n",
       "O6NO9gwZHJnh7AXckLBMnTOkucx96KwZZtt1YtIHFx3XEVbqRk6N7At9O6snhf2lEZlR9v5xrZ9B\n",
       "qWfAzLy/qsIMU7rl/C0r5WaYdQyYsk3kSx3LTM4HZgMvgmxNoSx2rp+GDnE/cFfWIhIYXrQtZoht\n",
       "B1XBlgVMfhfZN9S2o6qQf3vIc/svQsaBZFVOVUbOAVbqm65WSwv31TDISC902XdVbQffrQP9Oq0C\n",
       "xpMmYIada9yyy4XAvOrIqQlpl2QjM1AZCBI3W+gIm6Md//Fqr24PUoX3McYCTwG/BxYCp3aSJxx3\n",
       "BLYsc0yWo8/1bDskJj0MpJGOTfpYh1MpK0vsCwOmzWCld438txQfkcsl2di29QLwn6JjO+E9WGmg\n",
       "0K43L0prBDazL+vXUMQQ4ANgPrV98Cv8+WP/+ENkj4RbIlUjTWe5Nvo2jzgxJSpERoP0aL+sjiCb\n",
       "Fo24wk5srZgTwmPXjey7EZhu+QU6Kq0KmwOPQ3ANunyWVUOdjAahPYFfdZInoBeX3i1hY2qK2Q/I\n",
       "oyDnVleONIFsa1/WB94jOWDOou0M81XghgptjqVNe2t9yGcY8CIwEWQC8CgwHSTpQaRq8V/glLbl\n",
       "3apvc5Bv10FDKZIeUowOXLoBc0HWtu+jV5+xVbt9SP90eUqLBoKSjEVXjS4DJkTOOQMdxEwA/gWM\n",
       "q2H73gb140+I9X05D+S4on0Jga8k69m2aIUmrDMA7gVOi8+i1Cpo9ctF7B1+b4L8uRDB5XAQa7hy\n",
       "lx3zFZDfguxs368G6auFJRfasTNBPg3yZZCtQEZaoxpv34svIOkdlg+AvAbyL5DTQPbW5UYRkFdB\n",
       "DtAORe4F+ciObwJ5GeRE9A0Vp4P8CeQ92zbrdcmLls/6IBPtc0+QMQmaInplqF3Tvjrak+4g+4Ms\n",
       "0PwA5EqQe0COsmM305Gu7ANyIK1vz5AWGwSUW85LKqvf0fo7U7kcZIR93smubRXIcyBLQHYB2R7k\n",
       "+6ap2EmDCh0tSdcikGtAngW5HuQCkJNM1yir0z1N4yKQS0F+D/IFkAHW8Zxv5brYvjeCrGXn7GOm\n",
       "BOSJCnRtYHXWT+tcjjRfW8v8YHvTIqj/LwT5C8j/Mw3NqN9/wfS8ZX74DZAeli6aJ4DsBfJJgqZQ\n",
       "10o7byOQOfY5/PtF0ffw7zy0XdyCtr0GkI1BbMaeqi6TyupPZmeKXoOcg7bvzUH+bmmBleNpVkbH\n",
       "2jXErApIADKc1oGqBOqLxcck6toJ7X8i1yeDI+UyEuQQ0ypomwvs8+1WTkeZTkHbaA+r+7VABmke\n",
       "QGtfmFhWoa7o320gD1kdXQRyP8g/QR4pOm5PtP84C+QzID8DmQTyK7S9hPX/PyDz7fuzIJ8HmQay\n",
       "vExZbYf2O180XzwGZLrZOhFto7uCHA3yJZDjQW4yO8eD/BrkA5D9rMzXQdtQDztmHq0rWdLf9u1c\n",
       "sB+r63MgF9vxj6H+P8b8Zz/bv7fVSeiLQ9EnxndAY9ZACu3tMPU5GWbXGfpmN7R9r4+273Fxuso1\n",
       "FgF5DvgT8FU0wk9BHxoBHeEMQd81G336s9SN4BXoLGAWhSWkUryMTr2bIRgUo1FALgO2MltbAh+j\n",
       "ywMPoqOrddE1797AwcBZwMas/mDGCuBUu8ZSvIG+xeJu4NMmJ67cBB3hfRedVUSPex04H4I/26Hd\n",
       "gQuA8cAW6JJGIzAT/THwSuBNtMzCBnkjuvw9CHjfrv19PTc4PUaXJOgFXY46Bf1pxFG2czZaB4tM\n",
       "UwN6r2IpWqZi35uAZvv+saUvB3oAb6vuYFS8LrnR8tsDXSrujtZpg9meidbZI8BcYP+Yi7gJnTXs\n",
       "XiLtOdQfFpiNnYC7INgvQVf4OfyNWbNtQx/GrvcKdAVmCnAbutS9o6WHeS8CHgOuRp9kbUBXFmZb\n",
       "+jPo8tk6KXwLYAwEr2lnxHR0ZvkK8CPTNxt43Gz1Bc5F/edVPbdN+3wX9bUngQFo21yC1l+TXX8z\n",
       "BBMTyqoXcARwVYl0O7/4HALT0YTOUOcCn0LL9CO07YazvAfsnN3R2wiPoG1pIgRbJeiKfv8YnQWt\n",
       "B1wDHITOQMO29B66AvUKsImd87YdH63zuay+LLgI9eGXgJkQ7BWjKdT1C8vbgi1DLP85qB+datf5\n",
       "AVqHuwHm+OCBAAAgAElEQVQ/Q+v0beCzwL+BScBvUH86DdgXrbtrUF/fFPgl8AXgGAh2itEVllW0\n",
       "X34K9cmXgK3ROgkHzo/a9f4J9b//oP3jvXYdw9CfUX1s5zxm3/ujft+C+toMYDYEE8roWo726fuh\n",
       "/d8+wFS0X3iPwsrgYrROV6J9VrTewn2lCPtb2h5bui2mCJjRY2RrtIKXmri3gOkQLIgc02jndEcr\n",
       "cGvUAZYBH6KBdS4ayF6yC9nG0pagjrsYWAXB0zEaywSBNocGEIjp2hcNyGNQp5qq+QQzrANaB22o\n",
       "w01bb9TxnkE7wqkQTEqwLSBXAX9HHakH6jT9gSkQrIo5rYdeL73Qslphdnui5TMVdbLd0Qay2HSG\n",
       "5fURBJfE6KqgrACkRfMPor8dHIY6+yrLL+xUu9n3FZbWhDaI5agjvwnBK5XrEss7mK/1Fqw0HU1o\n",
       "WW4GbIQOZh6CYIWdc4Rp6QPcDGyLPqE6GX3AaSHa4CfawCWuoQ5AG84q266EYLmNkpvROlmkfrXa\n",
       "6Q1o3YxC/XwhBO/b/l3RenwbDVaD0PbxPvCCHpfoW3tDEHn4KfTtNoeN03IJIkvY0heCeSAbogF+\n",
       "PtpB9tZyZgfgeTTA9kDrbyFa58vMZoo6lABtO7PRch+IBoKVlu8ys9to5/YCjgXGoR3XTLR9zrLy\n",
       "aUIHc/NRn+9jZbq+HhfcFq9LhpiN4Wa3xcplfkRrSAPajkahQTT8beHrlr+gAa6v2R9p17XYjv0Y\n",
       "HegNheBvMZpKlFdapHehj5WRaJ9b6RPRcbZFfTPMr9inpBmCZaXTSpqJttfhqB8JejsqXCp+Cm2/\n",
       "8yF4JF5X4kC/wY7pHjkeYHlR3xUO/sLX901DY9gwNOb0RweTK9DJC8C7EMxMth+jqtITqkzCdD0z\n",
       "UizJZkIeyyrJvuuqzHYedXkdVmY7j7q8Diuw3xmekHQcx3GczPGA6TiO4zgp8IDpOI7jOCnwgOk4\n",
       "juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO\n",
       "4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCloKpM+iWz/X7JJCfuz0hWnKUzLmy6v\n",
       "w3j7cfvzVodhWt50eR2Wtp2UljddXofx9h3HcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzH\n",
       "4QH00d6s/h7Ioa44TXnVlaUm1+W+tabpitOUV11ZauqMuhKR9pxUReLsZ6kryXYedXkdVmY/j3VY\n",
       "Lq3W5LGskuxXqEuGdlhJOtteh+nt51KXv+nHcZw1nQ9A1spaRDpkU5DfZq3CKU0uo3zC/nrgI8jK\n",
       "cF3p6YK+JZtVVUk6+5XOMAVk/Q6rKW+7CnUoP1G9lZ9Y4f560al0+QzTcaqKrFPFzreTIwEwBaRv\n",
       "1krikbAPDDKV4XQKPGA6TnV5Ang9axE5odm2vTJVkUyosXumKpxOQU4CpnwJ5NSsVZRHBmStwMk9\n",
       "g4DGrEXkhN5F2zzSw7YeMGuKdInyzUnA5FLgd1mLSMHkrAU4uaeOwVL61c9Wu+gMATPsyHskHuV0\n",
       "APkisCQDu2uBXFfNHPMSMJdmLSAl69bHjJwFskt9bDlVpk5tSroBc0H61Mdeu+gMAdNnmLVn74zs\n",
       "Hgd8rpoZVqlxy9Ygx3Ugg2XV0dFluBC4ImsR9UNuANk8axVVol6D0IG2HV8ne+2hxbZ5DpidbYaZ\n",
       "9dOj7WG5bqTc/79cbUZWO8NqNe6Lgas7cH5nmWHWAQmf1lucqYz6ciRweNYiOhlhwNwkUxXJ+Ayz\n",
       "+lj/IJ3pqd7woa9hdbbbXzfVC9TVCphlRj3yK5B7Eg7wgFkg7FzqMFORDdo2PGkAWa/2dksyspN1\n",
       "AknUY8VkkG3Xq4Ot9hIuF+f4ZyWtAbOzzDCbi7adgfBee70D5gjbVm3AVq1OeVWZ9IOBPRPSM7gh\n",
       "XClSLwcdgg4gBtfB1hvAHpHvRwBv1cGuId0iXz5Ple83ZMiKOtgIZ5h5/s1nGNTz/HR596Jt3uls\n",
       "AR50wPQhUM1XEKYhfHtTzIBNTgL5cSUZ1mmGWXbEvahElnusvi9T+gBzqpOVTAT5R0ziEOAVYEBR\n",
       "QOmIvc+BnA2yD4g9xdn6mHf0lWAWpGXtmHyOBplfHU0ADAEZGPk+zuyMb/sYurSQK+Jmwq311ZRw\n",
       "TJ8qXc8Y4Fk6R8AcWDpZApCsHggJaSna5p1wttY/UxWV0Q/9bfLwOtsdBsymUGbFfAv4QSUZVnmG\n",
       "Gbuktnj1dNkCZIJ9CW8KR2dxVX0cuP3Iz+2BlEHAJ1XK9FHg0JjAtD/wHvAiMNE0BCCf6cCS5XXA\n",
       "/wH/Ae4F6Q+MtrQNI8eF+3YD6QXyXZBtQE4BORydjfau4tLprcAf7PPBwNaW93PAeZHjFoDsWiWb\n",
       "HUR+BTwUkzgQbaAraNMBy5hImT2P1kN7bPcwX2hAZ+PXAmNBTtTH5yXSnmUIyAHapmRvkKPaZ7ND\n",
       "DAJm0CZgylEg/7Iv6wB3tP15jKyrDxHWA/kPhbpYpyjtVi1XqO2TyPIhyKaR7z1Bdop8n9i2XluX\n",
       "Geu9vNlOpAmdWT4ITIjsD6ozIZCYGCbd0Jnlk8Tf5y8Rt+QCkBParcZGxJGbptIE8q3ITOUgkAXo\n",
       "+xi30h/3y/Ug4WylAWSapW+o58nW9v0lO+ZF+74WyM+s0SwlfuYqZvMh6yguBPmedRAbghwG8m2d\n",
       "pcjBIHuCjATZGMQcTTYCOd2OsQYtZ1vnMh7kLtMU2voHyE0JmiikyY7WSW5Z1Bm0gJwTyVdMezdt\n",
       "NHKF7TvAgtRUkHNBXrf9u5uj/cnKqbfVR1CmrFaA/A5keZHtaVZ+LfY3FeRpS1tRdGz072yQ74A8\n",
       "BrIryHEgO4McA/Jjq4OeWg6JusK//dAOfg7IH23fxyCHgzxh3+8xX9oZZC+QfUG+aOX3qNZnSTMt\n",
       "IFvE11VJXeeDHGG2Bll9/p/6jsw1PduAXITen98ODVrfBHkYZKadv32kHL9g1yggH5kpW1aTXdH2\n",
       "VMa3RECeArkW5BU9p7V8BOQRq2cBWVSi3jakdVAqPSNZ92G1QVCb70ll9TJt3hcr66LtajzIjSD3\n",
       "gzwI0s/K725a34Uq+5quT4EMRtvA/ZH0PmibCOxam9G20kN9Ie17SGUIOkgE5GsgJ4CsV1Q215id\n",
       "FrRNhT430D6H/dlapqNl9TJLLKuwvHYHGY0OSHta3reibb4byJm2r7v9Ccge5mP3on3BOyAHms4V\n",
       "IKMo9Mf7gzwQMdkIsnNyWUkjqR6MkZ5Wr5+xz4PMd49A+99G02wDX5lg+l+1up2NxojLQF5CV6uS\n",
       "dO2qviWHgAy3Mt8N5AyQ/0HbmaAraJHfP0uDafgA7asujaTtBLK21eF8K79hkfNE/bV9TyOHzvQO\n",
       "GjRm2kULyGtoYxGQSXYRArLStq+gjflVFSA/ApmBNuqooz5v2xdpbUwiIG+WKczw779oMJtsGt9D\n",
       "O63oMXNAlqIBY65dz+JIgS8D+Vvk+E9sewkacI8EuUkrsGyDWFJkO/xbbJWzEg0K66IDj/ciGm9D\n",
       "A334JNy37VpuQhuLoEHtg0i+s/R6Uncenwc5FR3obFtC57rooOcLaIf2NdTxe6MNYxd0QHSl+cD7\n",
       "Vv/TQN6KlN9ivabEOuwJ8mlaR4mylZXf56zsBeQWdGBUrPMl2/4S5BdWfk+DPIMG8rus7N6hEGie\n",
       "AblZ80vlW8V/C0DeSEh/2srsuoRjwr/Jtg3b01MpfCu8DgE51nYPRu/FbFCU/z4gfc2HRlFoqxaw\n",
       "W69nqn2eibaBP6PtcAXIfSCPpyyrt1i93Qk6Q/qoxP6HKQw+FpZIfyyi7TrLfyXqZ59o/Sfq+izI\n",
       "ySA/sDxWgfy7yMY/QX6KDvjmRva/U0LPXyn0EeGxD4P8P6vL72h+qeow7d/rMftDHZMj+15A22FY\n",
       "ZrfRZtBfdtAjIJejA5R7rO5ftmt9FOQvFNr3ExQG36E/rkT7/LBvCtNvoHUwK99a/Vra1Q6vtrKZ\n",
       "HimDZeoTrZOvVWhM2sD85T2QX0e0Poj62D9BnkQHoX+x9LfjdJVbWhN0WWI28Bq6hLseumQ2El16\n",
       "ehUCe2hHuqPT77nAgUA34B3gcQgWo0ubW6FvzJkB7Ije33wHvYl9NHAjei/rLQjui9Eo5bVLM9Ck\n",
       "moMFtq8BXSobbte0AF2GbAB2QJfahpn9KyAo9fRukm0B2RBdUm1CHyRoAXoCC4FZq+cpAbp0sEzL\n",
       "KPGahqL3rp40HcuBjYEBEDweo6tMWckwy3MQMA2CZ5I1pEGa0HujMyFY0U5dATAcgvfsezf0/u7H\n",
       "QDMEn+gxgTm2rIuWxVJgA7RuF6L3nWehS8890PqdDsE98bqkQfOVwehy4jII3rayWoiW1Szz6Ua0\n",
       "rldAsLIoq55o3c61Yz5L4YGut1E/2RVdfh8FwaUJZZLW5/tA8FFMeqPp6Y+W4/5ou34H9dNdbTsD\n",
       "fSfuDsA8CO6OsS0gvdD20oS+2ONlYAr6U4INIXje/GEs2tbXtmvpZ58fBLY3e6NUP4vRpccBwPvo\n",
       "fdpXzGZP1LeegeC2BF1/B1YC00zPbNR/pqB91HAIroqcsgnaH20IzLTymYY+rPgCsDPqP2L67gW2\n",
       "s+uaibb15RCcEaMp1NXf8hiN1v9Mu6Z9rSx6o2+LGo368KuoX/cFHoZgHsgI4ETT8TB668bu//Mu\n",
       "8LjpClD/bYDg+wll9QXgTeAotK18aGX3AjDP8t8AvQ95FQTLQAZpWrAcfd7kEWAv1J/eRdvZCr2+\n",
       "IPJQqDSbjqF6/cHyBF1h3zkX9dlm1bdaO+tjxw1H62g20AuCFy19oJXvzsCVaH83Cr1VNQs4wMp3\n",
       "Y/TnkZtDcGWMrkSSRkv1IGH0kRllRpCZkceySrLvuiqznUddXoeV2c6jLq/DCuzn5dV4juM4jpNr\n",
       "PGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8\n",
       "YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCprK\n",
       "pE8i2/+XbFLC/qx0xWkK0/Kmy+sw3n7c/rzVYZiWN11eh6VtJ6XlTZfXYbx9x3Ecx3Ecx3Ecx3Ec\n",
       "x3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3F4AH20N6u/B3KoK05TXnVlqcl1uW+tabriNOVVV5aaOqOuRKQ9\n",
       "J1WROPtZ6kqynUddXoeV2c9jHZZLqzV5LKsk+3ksq3JptSaPZZVkP5e6/E0/juM4jpOCLhYw5QaQ\n",
       "blmrcBzHcaqF/BBketYq0pDLaXH8fhGQ4TVTk2i7bBogDSBDqqqmvO1OVod1I4+6fDmvMvKoy+uw\n",
       "MlLokge0b68rXX1JVsL34jZnKiOZrwKzshbROZGRIEHWKhynY8joDDr/zk5u4lRuhFSBHrbtlamK\n",
       "ZDbMWkD7kbEgwzIUMA3YJ0P7TiZI3zra+nFk4F0rRtU4/65IbgbKXTFgtmSqIpke5Q/JLS8BN2as\n",
       "oY6dp5M9MhL4pI4GfwDUelC4ssb5d0VyE6dyI6QKdIaA2TNrAR2khvrlPpDx5Q6qnf2ujjSCHJi1\n",
       "igrprRupQz/V+rBgrR8aXFXj/LsiuYlTuRFSBTxg1p5aBqzdgc9kaL+rsx1wqwbOTkN4e6UeKwst\n",
       "RdtaYcuLneFpflm3Y/dbpaFKD2HmJk7lRkgV6AwBszMvyULtA1bMvYrWTj439zI6IZvZdmSmKioj\n",
       "DJQD6mArDM69a2ynu21jBs8yEOTrNdaQlqG6afeT/ScA71VBR27iVG6EVIEwGNXa4TuCB8xk4gJi\n",
       "2Jl19vLLkrVsu36mKiojDJgD62ArHGjXuv8o93Di4cAlNdaQlnCgsmkHz+8ouYlT7RAiAchpIHl7\n",
       "GjV0xHo0rvZiZdaplsWi1Pr+S7mAWSefk/71sVNXBtl2cKYqKiMMmIMSj6oORUuy0q1G907DGWac\n",
       "L5dpY9IHZNdqCkogLPe123n+Et10+OdgZX4qKGNBduqgjVS0xyHWB34LHFHYJQ0gHfj9owQgd4B8\n",
       "EaS9S6phwMxzhxCOuOp8L1M2b+d5jfakYuuOqshZ3U7oh3H+GPpEL/OVYaZtk0geH1XxpRUfg2yc\n",
       "7icGnWHwI18GzgAWke/2UUyotUpProqAbGCfh4BEZ5PFS7IfAT+JnNtk53c0iIYBM66fayjYK8nX\n",
       "aX0xuGxb1D6LkFtAjohPL0s4+YgJmNIX5AsJ54cxoaMD0HID5buBhzpoIxUpKl+KO/etbbtZZOTw\n",
       "E9TBkvLpV/T9GyCP25e9gL2BPwLvWKdY6e+VwnX2yGhUAr1xDSDdQZbW4XdWoe1GkM8XDSQGoEFn\n",
       "RH00tHI2yIUgfwUp+i1j8cMH8h2Q4+3LV4BpkWOWg+wPshmrIdNBvtlOfSXuH8lQkFvty4DIcQcA\n",
       "7wNHAi/bsY1o497IZgabgGwJcl079QC8hl7vkSDmU7I3yDE6wpfuNhBZUahjuQFkXOQamus4G4hB\n",
       "egMX2Jd5xAZMGQByfg3sdy+TnrTMPhqdpQwH2R3kLJCf619Zuw+DHBz5Hnbao207C7gqckLoe2E/\n",
       "0geYGFlJC9tseF+vt/lapbcJyg3sw34yslImB4LsWOLYJ4GrbdZZ6iGig4Bjy0uKnQGuB7wO7Bs5\n",
       "9mKQP9qXQ4HL2w4aZbj6ElAIlB29DWA+FO27ZVTkmssEZGnRMqo9gr6W6EGQq7UDErGRi4AcYoeF\n",
       "+8doYJRvaqcqf9bClZct/TyQA0COBXnD9t1k21Os4t8GmaP7kl6bJKeBHFooCPklyLMg/7TvDeiM\n",
       "VUD2A9nKPo+3QNrd7NkITRq1Q2xjJijhTGVefSVX2XkHmr3dLKkPyEKQa0F+ZTquos2IVX4O8pCd\n",
       "/2uQK0F+AWIOJ/uDrGefR4NMTKFLTEf072WQn6E/1BZ1RPkBOogJj9klUs8b2XaqbZ+0rLel9WUG\n",
       "IiC3gVwGsg8aLC5P1tX60Z7Gk+sj+w6wfd2tngXkdyCn2+fTbNsIsrZ9PhztVMWuz2xIQJuRuARl\n",
       "yuvnReU1F+TGEuUY/k0HudQ+LwW5HeRPqP+L1pPsCfIH1Pd3BjnIruV1K//+CZpCXb9E29rNIOeD\n",
       "TAD5OsjJVl9HF3xW9gbZGuQK03MQyNnoTHxjdIY1BMQ6bjnWtEY6cumGvjggqazeivjGEXadXwJZ\n",
       "D+QoS9sCZFOQL4NsjrbHAB2MiNVfi2kegfr2OJAZIP9E20zYh4R/L5XRFWp7BeRbIBfZvl+AHEeh\n",
       "HRwEsgPI12zfjVZfUVtXgOxmn7cxE2HaPPveS+u7bB2Gds6N7L4U9e3R5jcCsh3IYRG7H9qxPynU\n",
       "kwjIIyBLQH5vZfpdK7sGCn31jmXK6gRa+5jW3YNBnqfQ9g6w/ctpnWmHbUy+gfZNu4AsAHnBjv0j\n",
       "hXbbgvr5MbQun0q/ZF2tH+eBzKdtGxaQ/4l8FpD+IHavXh7TegW0T33FyuVw0q0StGs1rbhjuBft\n",
       "qIbTtnMVkCdAFtvnsFBviaQfhwaBZSBvgqwC2R4NaufROgOVU0E+BvnfBNHFuiaZ0+xn31+z73Ed\n",
       "3Nyi71dSaFAPgTwKMtOu90WQc9CA8rcyBRln7waQu60SP1WUNgdkVpGmd0vk8bxtV4D8JbL/SdWb\n",
       "WFb90Y5qF7Rxng+yKJJnsb1Pir4vB/lXQnnebtuZEY22r+yg5wLUmZ+hEHSvRTspQWfF09DObT46\n",
       "KAo7CgG5BF3OL1XmAnJGZN81IPdrfqka6kbozOZk84FjQHqgvh8O9I5BXw59n2k91b6fiwa3W+24\n",
       "9xPKbybIqgp9603b3pOQr6AD010siwDkt0Xp80D+jQZSQTu8/0Hb6rQUdfi3GLvzKASsUumL0P7i\n",
       "NQrtYFnRMeegg/D30TY6BB34rgK5twJdy1AfPiqyr5SuKyn4b3H/Nivyubj/uNH8KqmsStXhE+gg\n",
       "qnj/VHSGHJZTuP8oCu3kRdvOtu10kDNL5PV2ijoM//6J9nNh2fwNpCfaPy80rcV1dFfk85zI52lW\n",
       "b+fG1P/1IC+X0XUayOV2/KNoW+wNsmEkn7AcFkT2/cq279A2BkXPeQjkvyDfQ/vl68zW8SDfidNV\n",
       "7masxB8j3YENgK2AN4EpwB72+VXgs8DVZibaCbUAS4GVbfdXZF9AhlJYqtsaeAeCR0AmAOsATcBw\n",
       "4H50+WUVuqS3FfAKuuRyIPAC+gThbsAHwHjgRfQeQw9goZ3bAiyB4KT4MkHQeyTj0SXq6ehywbbA\n",
       "GC2PYDI68hmnmhmO3lt6xT5PQV+fNRW9d7NMy4r9gM2BOZb3a5b37npu8PP4skqqZxlveqeiSyfP\n",
       "QfCiOicz0aWqocB9ZuslYH/gU+iS6Hj0nux1qD88g9bL3sAbEPw4XpdciZbvM8CtwMZWLruh5f03\n",
       "9PeDDfb5IPv8OnCUldWWdo1/Bz4PzEDrvh8wF1hu5/RDl+un6+dgx/aVV3uQBqARrc8G9FH7Fer/\n",
       "EqDltgSCdxNsi7W55Wi9z4dghSUFaJl3A/ZE25cFlCDmTTmyFepvo/Q4VgLPofU5Fq3TRuApCP4Y\n",
       "o6uorGRDYAEEH0T2taDtczFaX9uiS8M7A79H63lDtM0+CJwE3IG22Y9L9xES2P6E/gG71x2+uznM\n",
       "RwZbvitBtkfbE3a9L9g1W98kOwDvmsYzUb87FLjWztsXLetFdsxHEJwTo8l0yTmoD/ZB/XQztH19\n",
       "BPwc9dmRwLloXW+G3gvsYVoes3L6PnAzMAHtb8ehbfUltG84Ge1f+pquo+PLSvY1u5eg/nCSff+v\n",
       "lhOgtx8uRevtMLSfXwzBa5beHfW/nmhdDgQmqY9KT9THB1j+89E+930Ibk7QdTvwOHA7+hOVMy1t\n",
       "FvrWsVFWLregffYY1MeOtLIK236T/a0P3AR8E13q727X0Y9C2/wQ+ACCr8boSqRcQKs1CaOPzCgz\n",
       "gsyMPJZVkn3XVZntPOryOqzMdh51RSczAYkvVJAGqv8+6ZR1KGuhy74Dqc9/wtCuuvIGUZntPOry\n",
       "OqzMfh7rsFxarcljWSXZz2NZlUurNXksqyT7udSVmx+EOo7jOE6e8YDpOI7jOCnwgOk4juM4KfCA\n",
       "6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDp\n",
       "OI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KWgqkz6JbP9fskkJ+7PSFacpTMub\n",
       "Lq/DePtx+/NWh2Fa3nR5HZa2nZSWN11eh/H2HcdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMfp6jyA\n",
       "PqmU1d8DOdQVpymvurLU5Lrct9Y0XXGa8qorS02dUVci0p6Tqkic/Sx1JdnOoy6vw8rs57EOy6XV\n",
       "mjyWVZL9PJZVubRak8eySrKfS13+4gLHcRzHSYEHTMdxHMdJgQdMx3GcToMEIN2zVrGm4gHTiSAC\n",
       "smnWKqqL7KydjON0CY4HlmQtYk3FA6ZTzLisBVSZB4H1a5O1nATyg9rk7Tgl2bj6WcoykMOqn2/X\n",
       "wwOmU8yQrAVUD+lpH/rWyMD/AT+uUd6dDPkGyD5Zq3DaRTdgx6xFVAcZpStltcEDZubIV0FyUA+t\n",
       "y5b9MpVRXQbYtlaDgB41yrcz8ivgJ1mLqB/S1MWW+puzFlAlRummNn1qDjrqNRkJgEuBYVkrAboX\n",
       "bbsCA23bRQKmDK6vvbTIIfZhTbq3thw4PWsRVaRb1gKqRDhIrklbSREwpZOOouULnWAE2KtomyXh\n",
       "8mUetFSLGjYe6YEOLlZWP+9YLqujrUpYz7aLsxSRAWOzFrA60gwyvB0nJswwpW8n6EtD1rLt2rXI\n",
       "PM0Mc7gV2DYgjbUQUX2kH3A5NRplVJF+RdssyVPwrhZh/Q9IPKp9rGPbKTXIO479Qdaro720LLTt\n",
       "8kxV1J8VGdi0Pji2L/4h8F478k2aYX4CHNCOPLNgqG1rsqqUJmCuhT7Y8F/g3FqIqAG723Yb+6lE\n",
       "U/1MyxiQtE9l9i3aZklXnGGGjWdg4lHtoz8wH+hTg7zj6AG8lcOBa+i/n2SqombI4SC3Rr6H5Z/F\n",
       "69vC9tkSk75WzP5ylOuD2jNrzYJBRduqkiZg3gLsaZ9H1kJEDfirbf9t22vraPtx4E2QNB1p6KSR\n",
       "GaaM0Z8r1J0UM0wRkJo4Yo0YAsygNjPMfsBUYGgGy1XXgGxYZ5tJDACeor6DhyoiQZn2eiJwYOR7\n",
       "GDxq4Vfl6F+0LaZEEJc09ydj8mt9eGZVijzywGBgHtndw2QIsLl9PgXkTpCNba0843Vt6ba6BjkQ\n",
       "HYl/MbLzqDo+iRo63n2mZ4O2ydItsi881hqe9AF+CvzZvjeAfK9O5RwG7ZiAKWF6ZPYsDSB5npEO\n",
       "BV6jNqPNfsA76LJcvQYRu9j2s8BUkC+BbAZSixl0SqQHsCnwIjAq3lelJYcz45Avo51sBPlN5Gcy\n",
       "xQ/ChffHbAIh3wa5r3pyEtt7OIMcWtglLZFVtFKBbVkZgwuJD/5hH9U7Ym/Ltj/dyDoOhEiAxqpX\n",
       "iW2TMgDkKzVTADIaZBHIMTbDiP4dBzIBZCjIESBxo54O2I/V9WREx+7q3DIM5DaQH9phZ1v6W7Yd\n",
       "E8mivU+DlvnfCERAfmfbO237c70RL/1AvmP7GkF+GrmGm4vKdgNaf1Mk63ZAV9SxJxQalowDiTy0\n",
       "IMeBfAByb2TfWiCnRI4XkKMj6WemaDgV/G8E0pg8GpbubetNGtA3+cQMhuRZkNNBXorsWx9kl2Rd\n",
       "MgxkPK1Pf8o48+/IfRH5CsiVIE+BTASxhyaiZSBXgpwXfz2lbJdLkyaQxUW+8g7IwzUMSEllFWoZ\n",
       "EvH9vcyfzwDZBGQPS6v2b1aTdI0E+ZrZPUB1gPnQuiB3gewAsi3IRZFrGGf1KdoW5IhIOe+q9SuH\n",
       "gRInmNoAACAASURBVEyxfqWv+ZmA/DJBU5Le6CE70bqSE61PCazunwd5367Jnq6XRSC/ts+X2/mR\n",
       "yYSE/2VVXFnNBJm3uj0A2cryi/xkSE60fd1Nl6BBNED7uUaQyAsW5GZaB9yr9RFJujYBOQHki7SZ\n",
       "eLRqOxEdMDaC7AfyAMg0kO+C3BY5foLWM4Cca3rLTaBK6io3MpC2x0gTOto6Gh2VbVd0/ALgW8Ai\n",
       "dESyLvrk3EBgqX1+ER2V9wOmW35zgC3t/FnATGAEBHfGaJQE31uodoOPrWADYEPgImAfdPTxTuTz\n",
       "Y+hMezK6RPqmaRyEzlQXAh+a5u4QPB2jKdTVE4IlIJOAzdBlqmbgEfRpwnB0ejlwCvAPIHzLxrNW\n",
       "DsW8jj4h+UvgXvR+Y3/gYuDTwHMQ/DRGl6CzwL2AW4FzzM4dln4mMA2tz0ZgI+AQdKYb3ujfzex8\n",
       "D7jRrmU39GcERwMbWPm8gz4MswoYAUyFYG6CrsnAu1ZGDwMHoW8aul7TWQI8j85gAiuvpyx9pZXb\n",
       "zlaWLwB7o6PpO9ER+HFWnh8CXwL2Q2dnoaQ0vvUUMB542q7zLtTvR1t5rAOcaseuRH3pKtR/DkB9\n",
       "fAd05Ps28Bm0vF+1MgvsOneA4O8xmkxXmCYB6lO90Adt5lnahehDSNcDTRDYwzjSiLazZaoxiARf\n",
       "etg1zLV8FhfSQ1vBqoSymg8cBcEdIJ8B/mDlMA/1geKfTN2C1sfV6OpVTyuXJrTPeIlCX7HQ9s1H\n",
       "/fJtzSJYCNIMwdIEXSV2R9NXO+8NtH0uoLDa8iZa5wB/Ak5G28gKtO7PZbUH9mL9KtR1KOrvPdD7\n",
       "kJNRvx0LfACcgNbVcvRBnDdQ3zsK7RuHArcD+1uerwLhROAOtF8DLd/jU+iyYMe/0dnrW2Z7NHpr\n",
       "63N6DI+g/c2OaJvbFvg18ArwO+BmtK3+APgb2i8cj/rVbejP55YDX0OfiWkGGiE4J0FX8b430L5l\n",
       "PXQV7kuRtBmo7+yP+tRbtq8/GocA7kdjwUjgG2j5L7F9H6P+thQ4G4IhpXRVGDDbJIUNbRYaEAVd\n",
       "598RrehVwEcmYDbagQw18ctRxxtIoZN5De0ARqBOOA2CPWLs2wwtWKUNh0HA+2jjXADBghjN26Ad\n",
       "1gy0I2sEtkELbSO0IWyMFuC7aKPth66H2wwi2CC+TNp0ag0UarwJ7cQ/ZflciQag/dGOvhENpG+j\n",
       "DaMB7ZTHoQ3iS+h/aLoRhSXRNy1tH7WZ2CBWoJ3OPWgQn4122ovROuyNOsy30cB5sH3vZdrCmeiP\n",
       "gbOAl9EGs8iup/ihqrAcFkDQO0HXd+xaR6GdyAz0vmB3+94PDZYbAf+yfHvS2thYig4mPoP6XCPq\n",
       "9H3QOv05BJPQmc3uwKNo8LtYO/hYXdujD7CMt78rIXjNOpaj7by3ILhMZxgMsrI63nTuhQ6+ngLO\n",
       "ALZCO8aR6D3uPdF202Bam4A5EIyK0RQt01JJ3dHBw6mo7w6wcnoT7TDCe+WCtr030c5imJVlGHB7\n",
       "mZZn0DppAVZA0C+hrPpBMK9EWnjIzmhbeg/11VGm73Nm73203gSt996mqTcaVBbb5w8oLLOtVJ1B\n",
       "twRdu6JlvtiufyO075mC+tgKdGD4KtpPfQyMgeAFG0j0Rf17OARvW7ZN6ABzCnC3XUc/tF57oAPX\n",
       "mTGaQl2TKSyRdkeD1Dto/7AEbafPoz70IVqvi9DAFAC/QOvti2Z7InAN2m8diva7lwNH2vXvqdcY\n",
       "jIkvKwKQzdFA2Avtp5vtrwUdJP8ZndjcjfrWZGAPtP+YjLbBj9BbUTtZebyP3kZYivr5Y1pGjET7\n",
       "lFch2Ddel0ywfD5AA3hPtH0vQfuoG1F//hmwPwSRn3jJ2mj/+Sm7pvvRwfIHaP0fhfaDTehgth/a\n",
       "Hqfp/mCfGF2JZPEUWBr7WerqwJJLrdb6JUiwXYWykgZil/ukmw6epMWWZAYUXWce6zDJfpV1SRBf\n",
       "dhXZTqlLGrSzkL4gx6LLy822bNVTA5xMRG+1DLH9kZmrDLTlrbXt2HAw3AFN7UGCwrJZqDHcJ32K\n",
       "BqR11FWWKtRhtal1/5BoO/wZTNwSaB7rsN328yraG0R6216HldnPYx2WS6s1eSyrJPt5LKtyabUm\n",
       "j2WVZD+XuvzVeI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIP\n",
       "mI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+Y\n",
       "juM4jpMCD5iO4ziOk4KmMumTyPb/JZuUsD8rXXGawrS86fI6jLcftz9vdRim5U2X12Fp20lpedPl\n",
       "dRhv33Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3EcHkAf7c3q74Ec6orTlFddWWpyXe5b\n",
       "a5quOE151ZWlps6oKxFpz0lVJM5+lrqSbOdRl9dhZfbzWIfl0mpNHssqyX4ey6pcWq3JY1kl2a+y\n",
       "LhGQz1ZyQqmd/qYfx3EcZ02g3It6yuIB03Ecx3FS0AUDpmwKMihrFY7jOE7XogsGTF4ELs9aRP6Q\n",
       "BSBbZa3CcRwnI4KOZtAVAyZAn6wF5JAWYGLWIpyuijwO8tOsVThOLemqATNH1yVTQAZkrcLonbWA\n",
       "ypGeWStwUrE9cEDWIgrIWJAOzygcJ0qGgUWGFX3vq39VIScNRUYAmwEbZq3EaMlaQDtYBLJb1iLy\n",
       "j+Rh9SBHA1VeAnbLWoSTB6TRPjQmHpaCjBxctgPeL9r5CPB4lQzkJGCyqW1HZKqiwMlZC6gMCR8D\n",
       "H5ipjNWQ3lUc3FUB6Q88CjI8YyF5CpjQOQeIEeTLIL2yVtEFaC7atpusHLy/biRqf2NgbJXyz0vA\n",
       "HGrbUZmqKJRzj0xlrIYM1R8Ux7KubfvVQ00FTAeuylpEhDBQ7pipivy0u5AO/+4uO+Qw4DLguDrY\n",
       "ylv7qjbdi7btJquAGY7Oo/f2Fnc829Z7FkUNRbIKWEPRN0ZslpH9kB6mI2/3MG1ZXuIe0goDwdCY\n",
       "9KzoT6v2XBCW0+hMVeQvYPbPWkAHuMm2MbdzJLC31+xRBVtf01WTLks4s8xzwJQhCYlhBxgdPU23\n",
       "8zaxbXuedA0rPbKMIT2Bt0GymF0NB+4CtszAdpRewBz9mEk5xDHYthvFpId+kkFwku4gdxcGYdIL\n",
       "5IeR0fiK+muK5QzbbpyNednaPmxi9+3zwuDyh+QR2SvyZb2Yg8LbFDtVweBPgPkgD9rTzgHIOLt1\n",
       "1hUIA2Vel2RlE2BWQtAMG1U0kAwApgIjzWHmtcPwcLQjizaUEZE0QC6uzwMSEgAHAZcAW4JkOcsc\n",
       "ijrNXNrO6rMm9I+4AcVWwCqymWFuBuwFTLaO40TgR+gsbjkF7XVE4m5ZbAt8j/jOldrd35SngKci\n",
       "O34cc1yj3WuN7qvljHQB/P/2zjvcjqrq/5+5JTftpncCIfSQQm+hShdFFAUF0dcCVhAbWABRAUVF\n",
       "fBUBRVR4+Ym8oKACrwgICb1JTUIJEAghjRRIvanr98dac8/k5MycOfeec2buZX2e5z4zZ8re3732\n",
       "3mvtvWfOuRxj+YzLcJWpI4R19Wlgm5hrwpnn2CrmeyD6tvNG4DngUZBjqph+VoSBMmGyIFWJhR38\n",
       "AVz5si0XfDTm/DUgfwb5t31uBlkLcj3Ip0C+YM+2En6YV/YFGQLyUKEjykEgT4K0RWYGB5kWe74j\n",
       "AlL0wwbSXEnhks9JM8gRIL8EmWWjtfNBZhRdOhGkmktoSba61f5eAPlwzGWfV7tXnSRdj4EsB/lT\n",
       "5HAAMjay5DQdZDbI6Xa+nz3fQVcPZBnI6CrrutryLvV3HsjdIG+DxAR6OV3bcdU0hboE5DqQLexQ\n",
       "q87uZCHIjiCLQf4AMhKkR6H/yfvt3v2LkkzrJJJsFf7NsMAkIH/VwbJsSfvLUfIrOxcJkjIf5Isp\n",
       "NVSqq7fl9w/bLtf6avcLka+dyGdBvmttLjzWHNn/BMiXirL4HO2DYBmm9k/UVO5c9LINqC8cBLJe\n",
       "fd1m1/wG5GGQByPHGoj/CluSrU4F+bvlG9bnFLPdDek0d5gq/fi6CMiRlHxJSibb+d8VHY+uREqk\n",
       "DmPzT/FQXI5DI/Mb6Ai2F/CUnZwEnAZMBVahM4JXgA+ir3UfB/IKsBB9pfcQ4G/oEty1wKUg4bLs\n",
       "fHSGGa7JfxO4JEHYw5H9l9RpMB74Cfrs4g6QHwN32zWngexi+xNA3ouOhs+za0ehS7oD0V8LGo7O\n",
       "EG/T67lNz5cdFK+N7H8GAgG5EPgWyCorY2Bpoo2VOwCBYC5IC7qEOgBYD0G4VB1oWiHSCDRAsA5k\n",
       "cBld70dfnDkeuMk6/0tqE+ag9foRS3dv4AX0jeV9gX/Z/YcCt5sdZqLPodsgWAPSH4J3yhmmBM+j\n",
       "o+hpIG1W5r2BaAA8BXgSuAz9bwPm9OUi228Fvmv1Nx9Yg7bLL6FLlLuhv/wUoO1wpGpPtFcDcCow\n",
       "GxgMbAAWAfcAPwS+hdrvCZC5aFteCbwJHEvBloOBu1D7nqHXcxU6I7wSuA64T8vPiJSPAE8BTgSZ\n",
       "R+Flsq8Dr6HLdJ+2P0NuQDv/q8AUdYJssL+PgXwb2BU4CO07E9H3CV6yMvUvo+snwH8DKyBYAfJV\n",
       "tN/M1HtZbW0qXDo8AWQS2p6Gq1b5N+obDjE7DUX9yZ5WrlVonxgI7AT8HViXrCtYBXKp2WYFcA3a\n",
       "ju4BuR843/Z3QFekVpptB4K8A+wIPAjyOnCy2XIf1A/OQetvBcgVwNl2/ufl61A+AewBtKG+4hG0\n",
       "zTag7f69tn8BBEusnz9sgXCA2W0ucCLaV2aAHA7B3Wa7/0a/srfIdP3N7JFkq6tp/3U0+STwLwgW\n",
       "gOwFPGYDr+eBZ1QL96BtRNBVqyHAArQvtqH11WiZ9rTtYrS9LtN7gnUa4JN0yTaWbn+z1Ua1Cdhg\n",
       "ZoLleaDdcJhqly+gz4B3QWfgk9A62978xjXozP0O9NmtDUDZHmSR6iytq2ztgtyLvp7dH31r8X7g\n",
       "KLThLAZ+i3aGj6NfDXkdeBa4BfiHpTPC7p9lBXgR/dWZ71FwTBdoYbkH7cA7QvBijEYBOcN0/dkM\n",
       "0xd1PvPQjvZv4B20Mi8HjkQrayoaCPppHiVfhFmGLkv0orD+vQpogqBHgt0E5DRgBgQPFZ3aE23k\n",
       "IyzfgWgD6gEsNR1zzD7r7FgPtEEOMr1L0c7Uw7StRpege0DQkmCr8RDM0AbKxcDBWhaet/KFS56D\n",
       "0Gedc1An8Q6wHO2g0ecZ64BwVr7atCwyLevRTmOv9Acj43WFx2UyGnSuQgcra9FAdyfalk42O6xB\n",
       "ndp00zMTdXQXok60r6U5CF2y2kjhDdt37HwjsAyCfuV1bXZqAuqwrkCXrs5C/2/evmig7A1cD/wB\n",
       "DUjfRdvyXOBx4JOW/n1W3uPQ9rCl5hmMic8bQb9mMxANbivRAcJ8dW5gznUg8DnU0TwKvA+4EQ3m\n",
       "X0KDxzDUka1E++72aN8M7J7w7eRdgTUQ7NsBW12ODjb2prBseCo6EH4DHXjNQgesE9A2FLIOrbsW\n",
       "tH01s+ngXoClEAwqr0vMaQerLeica/k9hgbsY9FnwP+iEMTnm03a0EH4JWh72h0dLD0N/Ayt90lo\n",
       "UJoMDIDgI/E2QUCeRtvvUCvXTrYdAtyKto2bIXjVbhmLtrejUb80y9K6DILfg3wDDZSgweMx4D2m\n",
       "vb+VpRmCweVttdmpJrTOZpltxqGD51fQ/h36oXloO15u5Qgs3WidbTAtA+zeBcBwyzrOb4X76yNp\n",
       "LUf9Q1+0fbxmZX0BnahFWQC8Zed/AtxUupztrELrojlOV4qAWeoaaYRgQ5l7o9cHaCd9C+2oqzed\n",
       "LW12LXY+rjITKrlSpDdq0AFoQOqDdoLHIFgP0sfy6wHB22XyrlCXNKKjJltCInSYM9EGNgCdES1A\n",
       "HX2raVyHNqLBaCUv15leNW21ST2ALluH6fRHnW3YYdaiHSZ0bgPQ4NYCwSPV1dURpAcEa2323hO1\n",
       "+bLq6pImdMa/tuylCYkk5F1He6XOuwJN0mJtNO58b5sVhoOeNWg9rbeBnqCDxTAArqiOrqrTwTqU\n",
       "Bgg2JiTbEx28lPCb0ogOSpZCsNgGBr3QADUBWGIrVXWylTShAx7zb+G7MsG6yPmRqi9YG69LwknA\n",
       "etPZFw2cPVCft7Lolr62ytHH8l6xqU3DVTrphw4s56CD3N6W7vvRQfoACJ6M0ZVc8kpvqDJ5/Ken\n",
       "VXhGURPyaKuk/F1XZXnnUZfXYWV551GX12EF+eftlzkcx3EcJ5d4wHQcx3GcFHjAdBzHcZwUeMB0\n",
       "HMdxnBR4wHQcx3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQcx3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQc\n",
       "x3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQcx3GcFHjAdBzHcZwUNJU5P5Vs/y/Z1ITjWemK0xSey5su\n",
       "r8P4/OOO560Ow3N50+V1WDrvpHN50+V1GJ+/4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO\n",
       "4zhMQV/tzepvSg51xWnKq64sNbkub1vvNl1xmvKqK0tNXVFXItKRm6pIXP5Z6krKO4+6vA4ryz+P\n",
       "dVjuXK3Jo62S8s+jrcqdqzV5tFVS/gLy5boq2Sz/qt0kDSBBZ9R0Lv9cNrxy5zqSVROIpLR1Hm2V\n",
       "lL/rqizvPOryOqws7zzqynEdimisyYSSujoqZgPwtY5rcVLS07bNmapwnKojDSDerp1ytGQtIEpn\n",
       "ovcuVVPhxBE2ll6ZqnByhIwE6Q7t4fvAmqxFOLmn2wRMp/aEM8zu4CCrhHwI5IisVXQOaQDZsoM3\n",
       "zwV+UU01GTEJqMdjHadr07P8JfWjMwEz67XvdwMeMDfnZuDqrEV0kqOB2Z24f0i1hGTIhvplJbvU\n",
       "6Z0Lp/p0mxmmB8za4wGzNC9lLaCTrNWNdDTwdYelzDoGTJ4G9uvYrRKA3OoBNzO6zQwzh8juIH/M\n",
       "WkUV8YBZmhVZC+gkYb16wKwfHZ2p9ADeD/SuohYnPd1mhplHPgh8CqS7NG5/6WcT2kf5azOV0XnC\n",
       "9tnawfu7evmh/gGzozPE1qJtF0K+CjIpxXU7gRxYg/x7gOzdyUR8hllDdrLtgExVVI+wseRkACAN\n",
       "IFnato9ty/3j87wT1mffym6TxnCnmmIyYn3yaWmuzsC3fZDVmHhZPGEd5SxgSgCS0H5kFPpy2OdS\n",
       "JPY8cFt1dG3C/sCjIFt1Io2uPsOU0FnlcU1/H2Aj0D9rIVUib0uyZwBLM8x/oG37JF6VfzoYMNud\n",
       "dk4GUJ3C/IfEOcTfA/OqkE9n+1Dfoi0ayGWLyOdBHUy7M3wGWL754fYv+n/ItmlfLlvZeUmbMdi2\n",
       "23QijS4/wwyNkLOgJEPQmeV/yJ22DhM2lhrO6mRywWnJ90CSfpBiol2X1WApbHtdPWB0dEm2X/n7\n",
       "ZArI0ZVLqjthAIsLNuMplLcz9C7aVkqpGeYVwBzdlcHA4tr1CekFckCJE8PtfGTJVRqBDTYzr3R1\n",
       "qpOrjbIjSHFgDOt2604k3NVnmGFFtW/zwofQYPk2XSZgSgCyNGHpKeysQ2uUfyPwIHCBdfhzgEtj\n",
       "rg2AHe3D9rXRU5Zt0O8h5mx5rGJKzDDl3BT3hQEk6WWhg4Fj40/LtSDjUuRVawYXbYtZt/kh+XAH\n",
       "HgmEgTnFqkS4zCnDQY6yg6UC5sjI/jDbViO4l+KzwP0ljofPsc8FmVCkawTaRt4i/WC7s4/nngYe\n",
       "LToWrgiN70S6uXq81tGA+TpaKYYERSOdS0E6Y6QUyHCQQ0EuBtkaOBu4EHiHTRt0jtjsN3jHoA0i\n",
       "LgCFa/8RBymfB7nd9nuBpPhOouwOMhbk6yBfiJwIA+BZwF/RNwLZ9OsOMgHkNPSZ0wHA9cAXY/LZ\n",
       "CaSDr+8nIZ83RzkR+AewZSe++F8HpA/IZxNmHaFz3VkHLRIAP0iR8AC0fRcNViWst/BxyUb7vL31\n",
       "zf0jF38S+EDR/RE/ULfVg9HAIuJnmCUCJn8BvlRhPmHAjAxKZQcQ+/EHCUBmgfQHzkSXOS8E7rCL\n",
       "w8H3IJ25y6Vs+gx5RGFbjTYpkcAsA2gPGOHzaxGQYehAYy1wAvCc3TDGtqNRn/GK3p/ql6EqiAUS\n",
       "FMoqPa3dNbH5QG4QMBU4BOQykDPT59HOiNKHpWeRL8sF4Q/gCsh39I0nuRHkBpA2kI+DjAE51q75\n",
       "FchHbf+nIN8AOQHkPXZsIMgRICeBbKcVL73NaZRa5y73w7zRvz9aQDoeZAnIzzSQysU6epcWy/O9\n",
       "RUn1LzTGtDZJtNdQHTxIj83TladUF1iZTzPtp9ixIXZf+Hzn9yCPg/zBytYAcpfeAyB7RTpQJbY6\n",
       "FeT96jTkf8xW4bkXQF4DucLqc5UdXwKys9XZEtNxK8hVIJ+09ARkJchhIKNBDknWBdb5vgEy3trC\n",
       "8yA/jpw7IJKugEwE+QvIhSB7Wsf5AO2/SyoXU5gdhFmVekkoyV7ftDIdZvXxV6ur3aytnwTyJTQo\n",
       "HmfaPo6+aIEdF5AzQN5ndrwO5Dy0vzwJcnnE5ktBliVoKq7Hd6ydjUbbu4D8wGwoINNMj0Ts14oG\n",
       "ULH6ngyyyOxpP/AvAe3tUba0zw1lbNVo9fZ19AcC3gOyK8h+IN8G2d9sdBnIiSD72mex9nO65TME\n",
       "9RU2SAzbubTa+Uba/QqgAS5JV3+ru13tvksip8+PlHms7R8Jco3t23aTa38Icp/t/zNyPqyTQ0Ce\n",
       "TlGH00BsoCoHW/7j0MFmqGWforQFfVyyY0TLXJC/Rc5vg7bJ6D2XFPZT+YePmk22Bfkt7SsRcrrV\n",
       "4xB08Br6+3Ns+2YkjeOtro4xjQeDvBg5fxzI61beC8romgPya5BBIAOsnVlQls9YesPRAepuIF8G\n",
       "ORvkg2isOQwd8LeQOBAs+c9EOvRiXSln+4w1ju8VHf9PZBsacAPIA5FrNpRIT0Bese0UM+4zII+V\n",
       "MeY4tIMewGYjDdkLdUoC8haFzrcSdTavoc5iZUTDyyAPgzwI8i+QZ+3zC/b5JpDryxgyWqY2294H\n",
       "8g+QP0fOvY4GHQG5DWQxyEP2eX7kutVoMFjF5ja7GeTvtn93GVudiDbk/UB+AvK02UVo/5k52dka\n",
       "157oCsEfQe4EORykaLlJ9kA7119Q53I7yCNoR7owUp9zy+h6FWRhpExrze5zrcxhe7ke5Ocg/2W3\n",
       "HgIy1cqwEGSNtZvH7fo1pmcWyL127M9o4Ps/kBvK6Jpn9bAgou0lazcPF9XDU1aOZSDLbStm41Jt\n",
       "Xay+h4EciAbSR0l2aqGuf4KcDPKGpbMObc/3R9J+MCFfKdGW3qYQhN8uOrcW5M0ytlpRdM/Mos8b\n",
       "QKaDPBax4/Po4GGPEnlGNb5s90qknSwGuUXrJ/Ug8SVrE3daW3rdjj8Qqa/XKPTZ5ba9y9rB5RT6\n",
       "q7VrkUK9tfu+NHUY/q1kU38YTf8OkE9EPp+B9rXicm1b4tgdtp2HBhMrZ1lbPRupr2h6L8e0oxfM\n",
       "DjejgXsGhf4X/p1nWRwHcg/a99aZXTeCPFdG150xed8Y0foE2v/eohB3VqFtd3XknrfQmDDLbPRN\n",
       "tO2+aNfOtnLcDzItTle55RfRaySAQArb9tMB+p80tgZe1uvD6xgPzIBgIzp9n4tO23uhzwN2RJd2\n",
       "obA8Mxp9W6unphvcFqNRymtvHzE0QLABHSk3o88ydkbX9xebpqXAduj0v6ddMwd94LwCfU7RqueC\n",
       "PybkLSA7U1g262VptaLLcM8Cq9DllJeBhZbWfnZsHbru32znH4dgLcjupq+f2elF9JntqcD5QH8I\n",
       "LqvcVsX1WS1C2wehA4nRJbsDq9GlI9Cyv4Uun/VHl8cCCJbF5DMAGAtMR20Y2P7u6LJkT9Sub6Bt\n",
       "ayO6tNwDgmvidbW/wdmItsO2EuULgCatn/bjTWgdraCwpNho1663vtELgtVF6TUAQyGYH6OpWFdz\n",
       "4ViwPnJsLIVnvOuANju2GG3DM+y+IehyXjP6ZvlCs81S9K3KUWhf6AMsh+ChGF0CsgPaJlfpNaGt\n",
       "pBWtW1SjNAGDIVhQlEQzWk/j0WXBNvQ9hDbTtAuwDPUxr5odRgNzIHg0QVcPS3OOlX8HdEl/C2CB\n",
       "los90Gf4U9Bl6vHAA7Z9AV3inI8uzx5mdl0GbGtpDkCXHN8BvgHMhOB3MZpCXb3VDlwK/Bp4CNhg\n",
       "baMJtfnfgEOAbwE/K/RROQStowbgWfNrW5q9eqH95g1gEARv2T09rU6S+iEQBOjbvoPRNiTAQcCR\n",
       "Zqspdny22iFYGFPEAWjffQuCVTF2AF0VWwHBygRdE4GZ9nks2iaPRNvrQ2gdvR/9IY9bLNb0QPv4\n",
       "DhSe4e6AxpVm1H4fBI4CLkNj0Br0cdQI1JZLIXgiRlciNXCmVck/S11lRpCZkUdbJeXvuirLO4+6\n",
       "vA4ryzulLhmFriZU88XKpJnc8VXMp1LyWIcdzj+vort4h6gJebRVUv6uq7K886jL67CyvPOoy+uw\n",
       "gvy72y/9OI7jOE5N8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO\n",
       "4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7j\n",
       "OCloKnN+Ktn+m5WpCcez0hWnKTyXN11eh/H5xx3PWx2G5/Kmy+uwdN5J5/Kmy+swPn/HcRzHcRzH\n",
       "cRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcZiCvtqb1d+UHOqK05RXXVlqcl3ett5tuuI05VVXlpq6\n",
       "oq5EpCM3VZG4/LPUlZR3HnV5HVaWfx7rsNy5WpNHWyXln0dblTtXa/Joq6T8c6nLf+nHcRzHcVLg\n",
       "AdNxnE4iW4IMzFqF42RNLqfFCcfrgS+5VEaFumQYyMM1U1M2/1zWYblztaaMrURA7q2bms3yxIMa\n",
       "VQAAHx9JREFUT328HnTROsyMLqXLZ5hO3pgA7Ju1CKdiBmUtwHFqzbsgYEqTjYBzWFYZALJ/1ipy\n",
       "RtYjS6djeL3VFRGQoVmreLdRpyAi40Ca65PXZoy2bb+M8k/iCuCBrEWURg7PdpCRxwEOgAQgB2St\n",
       "IodszFrAuwcJbOddHjBlZ5CWeuZYL6c0Azi3TnkVM8a2eVwy2iVrAaWRZuAuYOcMMu9l294Z5J2G\n",
       "XYD7sxaRQzxg1o8wSPTNVEX2TAe+W88M6xAw20dDO9Y+r5KMsm0eA+aArAXEsKtth2WQdx/b5tUZ\n",
       "DNZNe7t2FF+SrR+tts2jT6s329Uzs3rMMMOgkJWDCZdi89i48rhMDHCSbbfMIO+8B8xwENEjUxX5\n",
       "wwNm/Qj7Rh59Wr0ZXf6S6lGPgDnStll9T6u/bXO23i8B+Q0KWwGzgC0yyDsMmK2JV2XHWNvmqO6k\n",
       "JQcz3vUZ598BpJd+h7TLEfaNKq8AyedBflTdNGvOruUvqR71CJhDgdVkNxoKZ3EjMso/jsHA28D6\n",
       "ej+4TsEo4ClgeAZ5hwOcyABLTgU5LQMtgJwIMipyYIJtMwjoMifmxIvARpAT6qlGkZ62k7c2XALZ\n",
       "EWR3e8P0feigcDbImHJ31h9p1L+ShIO1Kg5opQn4DfCdouPTQfaoXj5VRYB+CXaqOvUKmC8AIzIa\n",
       "BfcD5pK/gLkl8Abaaeu6Dp+MBOiLUk+Sjc22sm109Pw7tDPXGekB/C/wFfscAJPRjprFDLOEg5TW\n",
       "yPEbNSjUlXBgkzAglh7Zv/UsfVE/dJkduI3CgHBsyVsyQwajM/bvx1wwxLZVWo6UscAi+/Bc5Pgu\n",
       "6It/p1Ynn2oiu6KP+RZRsEfNqUEjlq1Btrf9gcA3gP8A7wCHVD+/RC0NwBloUPqmdZq8sBPwCvAE\n",
       "cEzGWgxpBj4CLAUeJHEEK5+s0chua+BVYEKRk11l+baAHFiDfCPIF0EuB9bYgT11pskn0LdBnwBa\n",
       "7SsmnQhQEoBU2NlFQF7UupJTgWVAE4VA8ALI7+o4OB0ELCT5kcsC4MeFj9JoGmscRKUhYodzbDsZ\n",
       "OLrowpNrq6Niwh/uiMx8pSGy0rEN8AgwKT4J2baC/KZRWNnZEWRv2z8FuAr4Ash56s/bVxQAGQ1y\n",
       "YQX5VAkZia6AAcwj9oVSGbn56kFt+0Xcz5c1gpysIxA5FOQGkLNAllmHXgsy1/ZFA6icDvK4flFf\n",
       "jtx0mi9b6d8meWwVnz8CshPIEbbM8jmQr+mynRwFsqcF7jD/vUDuBfkLyMe0Qcg4W27bD+T7yZ1X\n",
       "oi94pPjpK5kI8i+zUwBiX5WQBpARII+ZrtNNRxvIsXbtHoVKlVtAzk7Ir0TeScelV0HLJpcMBvlA\n",
       "xF77qCMXUTtudv32du6QyLE+WpZKdMmXQU5Sxy+DQY63dC+PaPmgbefbbZ+2z6FNjzI7nmz2bgBJ\n",
       "8/Zxkq7o39Kiz8eCXAHyS5AT7FhkpC9N2kmlGWQHkCkg4/UaiSzjSgvIcbR/AV1aEjSFui4q0iIg\n",
       "b4J8xvKLHr8ypj46QlpbRd4TkMhgSwTkGavjZrOHgJjDlw9pO4s6M7HZnwQgk9GfTIwMeKW5jK53\n",
       "LI9VIDfb/mTUZwSo3/ql5iOzQRajPmQbS6IP6kdaQPqTPrh34qfxZJTpmw/yKsjbIE+B/ArkUSvD\n",
       "L2x7JsgbVoYPgnwdZJq1pTF2TbT+y9Xh/Vbe8PM6kHkgB6L+PVrPz4I8ALKSQn/dD+Q9IO8F2dfs\n",
       "19e0TFT7yVYgvQv9QIIyuv5g6a8E+Y62F2kFuQDkN1aPP7NrZlo/uAz181dHyrGd1e1YO3a8tcXJ\n",
       "ILuBHGJl+ItpnhCnq1y0Fa00FqCj/mHoDMBerWdxZB/gTvubB/wJncrfC8GrFGZ7n6bw/cNr0GdC\n",
       "e6JLEH9HZxIbgfdBMCRGo8SUZx0wx3T2QUdO50Nws1XS34BD0SXacLS2Fp1JvGJlWW3ne9q2ETjO\n",
       "tPaE4GMxmkJd8yi86AQ6s+6PznKjSz9XA1+CYB3It4CLgQ2W3wtmj/B52VWoTZcCHwPuA94CDkOX\n",
       "UOZBcGmCre6x9I608j2LLufMQ1cZdrdrr7S0LrBbHwe2RZdnh5lNlqOz47fR+r8dra8jgL2AH6HP\n",
       "s/oBr0FwUYKu4mNrgO+hP+iwveUbsl7Tozdadw+idp0QuWYZMNuO/QodoS+1v+WmaTYwEoKzEnRd\n",
       "hLaH24EVVp5WoA8Ez5tTfSVyz2LTE9b7Xqa3qUT6/0RnY7vb+QbgdT0W9IvRZLoIZ6SfQOvuOQim\n",
       "Ry7paWXuhc7oDjLtz5ieRWi7WYXacQDaX5ZaGXqjjwqej5R7BATfS7AVaDv8t6WzyNLZAngY7V8H\n",
       "2/Vr0Pa9BG1P9wNtaNsJ2Whl2wK4ETixKM9rgZVo3yFB193A4ZbGGuB/Ibi9xLWoI+Yy03q46drP\n",
       "8glnXi+htmsDZqJtcCPaZ1vR9rUIgs/HaAp1PY7WhQ0AmY/6qqNRe78I7A2cZhoO1XSZA0wFdgBu\n",
       "AB5F6/c36Bvbo4F77NhyCjP+l3U/GJxgq90geNo+9rKyHWXp/D+0Pf3ctodZ/m+j/v2rqE86AfW3\n",
       "cd8tX0nhhT7QeDIWgiBBV7i/zuwS9vU24BAIHtVBBm8Cl6Mz71Gon7oDtd009K3/N8xGc9l85ew5\n",
       "tG4PtbSXQjCylK40AfO3wK1opTRTcLKPQLAmcukYCF4vk154bRPaYU5AO9BTaFDeBXVqOwO/hOCV\n",
       "GI1iAXCl3b8RgsgXp8PRYPQY2D3DNF1psHI0oMtKB6GVOAntBKutzC1oo9tJ8wouj9EU6toVrbA5\n",
       "aEUPQytrItrRlurxoChayEh0aeF12/ZBl/6ORJ/rtaAB/X600/TV/OgFrIXgywm2+gLqzO9An9sI\n",
       "6rRGUXCiL21an+2374IGzXloBxqONrBFaKfewvJdrmmwj6U9SG0bnJ2gawjqPAagA7FZEMwuuqw/\n",
       "6rR6os8qeqEDisPMVq8CxwKPoQFzB7UHk1Bn1A99jj4IbWPbALMh+EG8rrRfgZImtP3tavm2FcrB\n",
       "TLTel5n+Magd90Od3cOow50P7KbpBY8l5F2BrvZbGtD62BZ1cH1QR9oDbfcLUCfUE7XrMjRQjkWD\n",
       "+RpgOQRfj8lbQJohCF9c+4qlEaDttcVssNyu/yda1wehff44y+8JYH+0z7yFOrY209FqaaxDA/Fo\n",
       "2z4DwZ/idXX0a2wyGq2jJyCYBTLMyjEW7XOj0EHFi6apBbXTUDQwXZiQt+gMjCFom2jTe+hr9rh1\n",
       "c5+VSnMj2r4XAeNNzxvAgaiPnJ/sS6vxlT8J1KdJgPq8pait1qN13IROHobauUmoz1kSr0sai/x6\n",
       "DyvfkvSxBrRtBmsi253Rtr9WtYW+WIYBrWarDtmlzBJCzUmxzFh3OrHkUlPyaKuk/F1XZXnnUZfX\n",
       "YWV551GX12EF+ef09zodx3EcJ194wHQcx3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQcx3GcFHjAdBzH\n",
       "cZwUeMB0HMdxnBR4wHQcx3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQcx3GcFHjAdBzHcZwUeMB0HMdx\n",
       "nBR4wHQcx3GcFHjAdBzHcZwUlPqP8FGmku3/JZuacDwrXXGawnN50+V1GJ9/3PG81WF4Lm+6vA5L\n",
       "5510Lm+6vA7j83ccx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Echynoq71Z/U3Joa44TXnV\n",
       "laUm1+Vt692mK05TXnVlqakr6kpEOnJTFYnLP0tdSXnnUZfXYWX557EOy52rNXm0VVL+ebRVuXO1\n",
       "Jo+2Sso/l7r8l34cx3EcJwU5CZgyDmRt1iocx6kU2QFkRNYqnM4iLSDnZ62iq1OnabF8FKRUXnmc\n",
       "rvuSS2Wk0CVb10NIfP6pjteDLti2RECeqKuaTfKv6Hg96IJ1CCC7xPjgWpPHOozNPyczTOfdi2wP\n",
       "zMpahRMiAnJghTe11kSKUwEiIL06kUCPqknpxnjAdLKmUTdS7h8BOPWj0oDpZIoEttOZgUuPorSc\n",
       "EuQlYHbDSpI/gPTPWkUXoMW2AzNV4UTZosLru2H/7VKEs8OenUijj2194JqAB8za8Wlgl6xFVBcJ\n",
       "QKrdZsJlpCFVTtfpOJ1xvE79CeurT+JVyYSz05bEq97l5CVgmo7ushzQXo7GTGVUn/8CNlQ5zd62\n",
       "HVzldGuEDM/o5Yh6Uqlf6Cb9tssSDjp7J16VTBgwfbCUQJ0Cpowq42R6FG27OuEo7fB8DwJkUoX6\n",
       "JpRJbwuQwysUEXbyfhXelxUf1410t8EQIM2247OM3CHjE/pqGDA7M8MM+18XqHsZWIOVrlTUK9Ot\n",
       "y5wPRzUZVpb01IqoCuGzy+8Cu1YpzVrwDHB0BdeXm13+HLirQg1hZ+8Cb1rKBLSM0D2XkDtaFzke\n",
       "FHYbpgHjY85VY0k2XOHpAgGTJcC3s8i4XgEzfAMr7oFyz6JtJ5GvgOxV4U3fB5aA7FgFAdHZ0qgq\n",
       "pFdLBlRwbbmA2ZGlynCG2QUCJu+P7D+bmYra0dG66EIrQ7KPfQVjEUhnljDriIT27RtzQYklWfkS\n",
       "yIIKMhlk25wvycp2tnNRFm/W1ytghjO3uLdGqzjDlFbgl8APK7xxqG337rwG+gPz0FGhVbAM0x9o\n",
       "yAsS2rySpdBw4BM3ku3I880ysxrpAXJyVkswRbwvsp9zx9IhOhow4xx5zpCDKayoDAZO1wGyNNX3\n",
       "0YlsB/JkBTcMs23cqkapPnRg5L40dIEZpjQBD0cOfLDeCurlhMLRS2TJU1oiTruab2idCqwHjgYZ\n",
       "DDIIZF97WWNbfU4ju276DEp2AA4H7qT88nEajgQeAi4GDrNjPwJuANmqCulXiLSCnFgUsMMOkqCn\n",
       "fTQXEg4qto25wepTKgnCYZpxTvcg4E/APiBn2sj5pyCVDogqRAL99ZNN2A7YE32O+Upt88+EocDb\n",
       "VLbcvBLovemX5mVUoX/Jttl8vUoC/ck+EZAzQD6O/geK7wPn2kU/AV4A1gEbdfZZF04EdqsgSIeB\n",
       "b3jM+dD2IyPHNlaoqShg1uSN+AqRQN+JkHtsxfB/0ba5E/AF4Car3z+on8+eCpbYwsqXFu0gUYPL\n",
       "D61g+4D0tWv+BfKUBbA/2/ndU+Yfc1wGg0wDOQbkbvuThL9/gFwFsgTkHJBTQB4AGa1BVCaXCHBl\n",
       "fvpKfmtpf18DhywDmQKy1o4/avY5Qu0jw6vUMMv9fFn4dxHIF0Cm2+friy6fYHXXbOf3sOP9QF4G\n",
       "ecPs1AByk9Zl+73P2T276WhQzk7WBZbGTJCfRU61gpiTkPMszbNsu7FQFjCtHXnDNsleCyL2Gm2H\n",
       "z7bPDdo5RUz3uA7kXammyDmZBJKwCiK9SfxtVxmtdVzy3Mkgf7WyDQNpBBmToEtAfgzyIMgz6Gzt\n",
       "fXb/1VY3YT+bGLmtWrO5JF0zY/r8MivbaJDris4908G2lEZT5Fy7vwvbeOOmdSLjQE61/SNAPmnX\n",
       "/9iO9bX+GaDvXpxk5y+PpBGWLQAZkKBLQN4D8g7IHJBzUR8V+odwhawPOugAZCj6EtItIBd2sj6T\n",
       "dIXlDv/u0vYP1g+vLDo/HZ0cjaTzL+WV1FWuoLbWz3PoDOAWYAQa5YcCr1oa64HPA1egM7VxwGvo\n",
       "yOdtdAYZsOkIKMpG9EFuOLKdBrwJwVExGkWPSyvQBsE6kOHAo8AM4EPAjuhLLQBnAGs1TeYCbwA/\n",
       "BbYEngd+AcEsdYQ8ZPeGvG3lHKVlD4jRFNoL4NfAVyAQ9Kff9jRtFwEfK3Hfa8Bblu5c4LeoDSeh\n",
       "zxhvA+YDO6AjwDvQLxgPRkf4iyGYFm8ruQW4Fl1SPA2Ybva4BJ293QUsAz4cuW86+pLB37Tc7As8\n",
       "htbxb8xOh9p1ozQf+gC3o7P0t4CjEuwlIJehdXM+8APgv9E3cXe2NK8APgXcr2ltxm2W1wS7dzCw\n",
       "CDgCrfvbrQy7oDP8HuhsogmCqQm6wv1X0Ha+HP0y/1cguMwuuxT4WuS6hWaL0eis/VXTPQJd9g4f\n",
       "FSxG23mL2ehl2mcIweIYTaGu1YVr+SHQZun2tbItRVdYhgC3ou3lFbSu56NtKWx/3za7nIh+/ekK\n",
       "4BjgauBgK8Mc4LDkOiQwZ/+cHZsPXGo65qMrBFGutTx/gdbP7ujK0zi0bm5FV6QeB2YDZwJrgHfM\n",
       "Zg8B2wBLIPi/eF0Cat+T0f58DwTPF13W1+xxu137J9N2E9puXkP9Q5PtN5im14AxqoH16COYDbof\n",
       "3BmjKdT1CNqXXrd7bgD2Qtvs3y39M+z6vwAfsf2pZqvbgJNotz2gPuo/wG6oj/5sJM/rNJ/gU2Vs\n",
       "BXAl8MWi87PQvnU08N4S16xB290MtD0+AMxEbfMxtB//j10zzD6/gfq5fSD4aYKu11G/eT3q009T\n",
       "X7/JZc2W93C0nYcDnqdQf9UMLLB8F6Ft+jW0Xkeiba4V7TPL0H68CoJnSulKEzBPB7bXfQajQWcx\n",
       "WrHD0aDTE3UWk8xYb1JoFCvt3inAKejLEkOBiWhjW4k+72tDp9nno4ZeAMFZMRoF5Ea0cS9FG8Wx\n",
       "wB8huCByWYPeH1T4bE0Gow2hD9pZJqGdtQmCm2I0hbqGQ7AwIe3tUed/KtpR/4k6lf5ooGhCHeAS\n",
       "1JnOsfO90Aqejy6JBqjNABog2ClGl2x6XIYDCy2YNwD7WHrbaTr8EW1k/2V57Y8uVd8CwVJLYzLq\n",
       "bLdDnexPUYc9Fa3796CdYyYEU+J1yQzgHNRRfBRdvt6IOvDXUad9DQQPos8v+qNtbqKVa0vLd7Xt\n",
       "T9KyMQRtkwvRDhEO8FaaHVdBcECCrmOAB4EVaJ0MNJu9WHRpgAalo8yGbaZ7LRoABqH114LW3Z7o\n",
       "c8KlaD23WhnXqu2DphhNoa7zgPvMvn3t/vloP1qGOvFXUUe8wco7Gg02PeyvGa2j/dF+3GT3NgGP\n",
       "AHfb/ulm11YILo63VXhcxmrawUv2eSRwiNnwOLRtrEMH1Hej7WYCWk+zUIcfoEGhDX27fCvgH2g/\n",
       "nGPnd0P9RRMER8brkhYIKvwPSNJomsej7XAx6vtWofXbDx10jEb9X3+0bt8xHb0g2D9GU6jrcjTo\n",
       "PYU+uhmH1t/NwAfQtr/AbDIOuBftl8+hfmBXtL1MpDBAvA+4Ee1D49EAvBXatz4FLIfgxBhdAnIt\n",
       "6ofuoPCIZBHaLk5BnxUOAp40rQ+hdbjK0vw06gtOAu4xm+2P+vIG9L2Qvmhgfw0d5G4NPALBaQm6\n",
       "RkIwP8aWMUgTMNbKHfqStWhb7osOfMegy7rzrDwr0EFxC+q3ekIwPkZXcu6V3lBlkqbr19H+C/vy\n",
       "e126yFRTuXO1psLl67rhuhIJ3/SToEze78K2VXZZLSd1mDrvPOqqkabUb7DmsQ47nH9eRUeOy9CY\n",
       "a2qFd4jKcF3p8bZVGXnU5XVYGV1KVx5e1e8kwVtZK3Acx3G6P90gYDqO4zhO7fGA6TiO4zgp8IDp\n",
       "OI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4\n",
       "juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgpKPdPPqeS7f8lm5pwPCtdcZrCc3nT\n",
       "5XUYn3/c8bzVYXgub7q8DkvnnXQub7q8DuPzdxzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRynuzMF\n",
       "fVMpq78pOdQVpymvurLU5Lq6d9tynFoxhXz6h0SkIzdVkbj8s9SVlHcedXkdVpZ/Huuw3Llak3Vd\n",
       "Oe8+sm5zJfP3Hy5wHMdxnBR4wHxXIsNBrsxaReXIZSCXZq3CcRynFLmcFiccrwddbdmsxHE5GaRe\n",
       "WqtYhyIgazqlpnz+eazDcudqTdZ+wHn3kXWb8yVZp50gawGdYGPWAroXsiNIY9YqHKcrUIWAKf1A\n",
       "xnQ+ne6C9AJpyVpFGbryQGlDdlnL0DrOzOvFC8AHshbhOF2BajjOq4HXqpBOd+E54NasRZShK88w\n",
       "MwyYjNKNdGX7RZCetrM6UxmO00Uo999K0jCkCml0J7YF+mQtogxd2eFnGTAH2rYVWJahjmqxhW17\n",
       "ZKrCcboI1ZhhdrclqmpQrRdTaoU9s+qSM6Usn2EOte2gDDVUk1bb5n2A5zi5wANmbVibtYAyhEtx\n",
       "eX/WWoosZ5jDbDsw8aquQxgwe2eqwnG6CNUImN3srUXpW4WZVzWWumtJL9v2TLwqn2QZMAfbtrvM\n",
       "MPva1meYTjdAPqFfmasdKQKmbAfSP8V1XfnNyyjLgS93Mo2Z1RBSQ7pywFwVf0q2BRlRw7zDQDk4\n",
       "8aqugy/JOt0A6a1fj+J/gD/FT3gk0DfdO06aIPcS8GzC+TCY9isckq+CjO24rHojHwfZGmS8HXhv\n",
       "JxKbTv5fogiXFCMBU1pAmjNRk4r2TpD0RufLwG01FDEIaKP7vOjmM0ynO7ASuCXyeUDMdZOBhZ1Z\n",
       "QUwTMGcAW+lSJahT3SRKl1qm+gVwZuT6XuQGaQKJGFT2Bv4fMAuYZgeLZhDSHyTtc6tpwAEgB3RW\n",
       "aQ0ZadvWyLGptH8dRvYCeaDOmsqR1rnXcrl0MDqAjAmY0rPWS0KVIQHIaQmj6lb0eXstZ+WOU0Mk\n",
       "9GHjgI8C7wA7xFw8MnJteP+gSBqdVwPyqv4cmZwGsjvIdPuJsp/bJW+DvKJOtv02AbnG9q/XNGKz\n",
       "2BZk+/j8KzpefFkAcizIj0D+ZHldZ/qetK2AnAJyCcgTIMtAVoBcrmWQJ+yah0HuK5O3gByntgm/\n",
       "4C47a/CU3iBfBPmPljdcOpQeIAdX4blpJT+NNwVklWptP7beyvlZkF/afkSTXA3yKdsP0i3TV6pr\n",
       "s0v6RvbHgCy0thjzyzQiIC8XHduycl0yrOhQH5BtrK3/GuR3kXP7gBxh+x8wDYMKGmUSyMSYvNJq\n",
       "KjonQflBqAQgO5me82KuuQPkWmvXcelsU0aX49SCaHs/MuIvjzafbhMYudLa+B/t8zkgG9Hfy476\n",
       "r5aI7/9x5PhzIG9GPoe+pWSbL+ekxe57FNjHjl2GTn//DawHmoHbgS2Bx4ClwFl27cXAt21/FLA7\n",
       "8BC61vxty/8BdKa7HfoWYhtwgOYZzIjRKCA3ABPQZcU29AcDhgML0ZHEWsAcGWvY9I3Qi4BzgP8D\n",
       "zoSg2MluD5yPfv1iJPrjDL8G+pucOLsJ+iw3QEc6b6PLs8OAdWarKDeis5bDgL9rmVkPvIl+hWEa\n",
       "+gbjcitXb7PTPHSWswj9PuAoCG5LsNVPgCPt3lVmpxvR5c03gKOAvUrc+xngk3bPMVaG3wDbA0cD\n",
       "3wHmWvkORP+H3AvAWGA2MACC6xJ0jTOb/BZ4GnjGNI1G6/Yk4PfoM+E9rfy7oc+YR2u5GYfWz55o\n",
       "na1Ev1+4AV16ng3sA8Fj2vGYBcFMzT9WV7j/EjrzPs0+34C22+lo/Y6K3Pc7s8mWwH+APYCvoast\n",
       "AIfaPbug9TrI7DkIWGC63ojRFOp62OxzEPpi2S1oW7kX+Bz6AyIz0Lo4Au0DAbAYOB04BG0zk9E2\n",
       "sB2wt+k5Ae27k9F+ein6Qt+0Mm3ecWqBoD+s8SHgz3bsB2gfX4/6pJfRtjoRAlsdlJGoT5oBbI32\n",
       "/4dQHzsHjV9XAeeifeQg9LHiH4AP2/6fITiJEm0+TcDcE+1IfYCdgJsh2AAy2TJ7FHXgz6OBcA1w\n",
       "H+rYhgKfAFagzm62FQIrdPHbpEVBJbajCshNwJ1o4BiCBp71qDN7Exhj+c4CpkLQRvszymB6mXKX\n",
       "yrK/6gtWxmgyXeE52Ql9rvsUsA2wK/AXNAifhdrsINRZPYNWXgvqQIeizmoIaqMNqHNeigYEQQcJ\n",
       "g1B7LYLggBhdorNDtkYb2F3A3Wgw+QVaJ2vQwc4INOgdgdruJGA+Gqzb0KA6y/IZgAbGxaZxR9SZ\n",
       "L7B8t1JtwfAEXcvs3ploIHnEyrPEbHeH2WCd5X8JcCLwQ3SgsI2ltcxscp1p3IcCq9GXnOZRWJKZ\n",
       "C8GoBF3HoQFvHToYeFptFsy2S44Gjjftd6CDokGm4SW0k89B2+ASNDjtjNbhK1a2VaZrJ7RNrIGg\n",
       "NUZTqOtX6OByEjrQGWbl64+2nUcsr0a0zu5H29ePUMcyHQ3q64AngHMguBfkbOCLaNtaig5YQ16H\n",
       "YEyCLsepBeHAdQFwLeoXtgaugeAfurLD54CbILij6NZG4FNo3+uF9vvngLsgEJCTgE+jg+Er0EHu\n",
       "8ah/FKA3BFfRsYDZ2Y4ioXMN0JlSowWvQahT7os6geUUZqwbNe8gHCHXQFeHSco7j7qy1JSUfw11\n",
       "SQvalgII1tvy5TAKgbXVgl/e7FWHtiUtEJT5YQ3Z1nZe03yDDdXJ23FSIyD9gJUQZPHVxQ71t6yf\n",
       "Xfi/YEpPHm2VlL/rqizvvOpynFqQdZvzf+/lOI7jOB3FA6bjOI7jpMADpuM4juOkwAOm4ziO46TA\n",
       "A6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpMAD\n",
       "puM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkoKnM+alk+3/JpiYcz0pXnKbwXN50eR3G5x93\n",
       "PG91GJ7Loy7HqQV59Q+O4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO0834/6PKRj2mwAUA\n",
       "AAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7d4995c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Datasets:\n",
      "  D : (128, 96)             , float32\n",
      "  X : (5, 100, 149, 2, 96)  , float32\n",
      "  Z : (5, 100, 149, 2, 128) , float32\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Overall time: 2462 seconds\n",
      "\n",
      " -------------------- Classification, diag = False -------------------- \n",
      "\n",
      "Software versions:\n",
      "  numpy: 1.8.2\n",
      "  sklearn: 0.14.1\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Datasets:\n",
      "  D : (128, 96)               , float32\n",
      "  X : (5, 100, 149, 2, 96)    , float32\n",
      "  Z : (5, 100, 149, 2, 128)   , float32\n",
      "Full dataset:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 149, 2, 128)\n",
      "<class 'h5py._hl.dataset.Dataset'>\n",
      "Reduced dataset:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 149, 2, 128)\n",
      "<type 'numpy.ndarray'>\n",
      "Flattened frames:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 298, 128)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=128 -> 17,280,000 floats\n",
      "  dim: 34,560 features per clip\n",
      "  shape: (5, 100, 6, 45, 128)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=128 -> 17,280,000 floats\n",
      "  dim: 34,560 features per clip\n",
      "  shape: (5, 100, 6, 45, 128)\n",
      "Feature vectors:\n",
      "  size: N=6,000 x n=128 -> 768,000 floats\n",
      "  dim: 1,536 features per clip\n",
      "  shape: (5, 100, 6, 2, 128)\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAFCCAYAAAB8Ye0uAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXeYJVWZ/z+3e7p7enpyzjMMM4QhM+SMShDJIsoiIILC\n",
       "KmLWn+iqi2tAV92VBcU1IKioKAqoKKwKgoogGQmKJElDZgYYmAHO74/vOX2rq+veW3VD3fR+nuc+\n",
       "dUPdqlOnznm/7/ueU1VgGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGEaEbwEr\n",
       "gVti338BuB24CbgAmFTi/18AbgVOq2LfWwCvreJ/ebI7sGOzC1GGtwCnN7sQMeYC59dpW3sAzwA3\n",
       "+NfH6rTderOY0X2oFv4X2Mi/P6WK/bwFeIxivb018tsxwN/86+jI999D/f3Tke8+BhyUvth1YTH1\n",
       "rUvDqBu7AlsxuoHuBfT495/zrySeBgpV7vstZDf2hRr2Vw2fBN6f8T+9DShHKY6htQRzTJ23twdw\n",
       "UZ232QgW0zgjv7qK/RwDfCXh+6nAP4DJ/hXeb45EGuBSYAIwh/zrfgwmmE2np/IqXcuVwFMJ318G\n",
       "vOLf/xmYn7DORcB44HrgcGAG8GPgGv/aya+3HfBHv94fgA2AfuBU4I3IAz6c0eJ0K7AQdaA7ge+g\n",
       "jrQA+KDfx03+f3FOAD4f+fwWisLyZn9MNwBfo9g+9gWuA270x7/Ib+e9ft2dfVl+6/f7f74sAGf7\n",
       "bV3t97s7Re/+el9PcUqV40zgWn/80WPbFtXfjX4/YZtzgUtQxFAq0o/+98/AEDAW+DZwsy/jHn7d\n",
       "PwHLI/+9HNja/+db/v/XAwf639+C2sJvKNbbrZHfLihRvuPQef0zMtalhL+Sg9SL6v8Wfyzv8d+v\n",
       "7/f7F+D3wIb++1nAT1Fd3Ajs4L9/n9/GLcC7/XeLUabl6/6Yfo3qDWAFagc3Au+IlGcTiuf1JmBp\n",
       "rLxvAL7o378biRbAEuAq//5yv/3PAYN+W+cCzh9vUnmilHIs90GC+LR/XYba/Vq/nx6gD/X9U4GP\n",
       "J2wj0Kj24yL/XYzO3XX+FbI9e/jvfw7cAXy1xPEaRt1ZTHmP7mLgX0r8FvV+v49EBSR0t/n3EyhG\n",
       "Xa9BogqjveBPMFIwb6EomC8j4QXYGzjLv+/x5ds1Vq7pwN8jn3+JBHxj1DlDec4EjkJifz8y9iCv\n",
       "O5TpfZHtXOzXBzgWGV6Qwb6IYqe9iGLnHsfoqLNUOQCm+GUv8DtgM+Rg/AMZUZBY9iJj8w9UxwPA\n",
       "vcC82L5K/ff9wDf8dxsC9/ltvIeiUM9BBgngM8CR/v1kJHbjfBn+SbHOFlNsT6XKNxe4x/9nDDJ+\n",
       "SRHR7sATSHh+yUhDHFiBRCAw0S9/Q1GstvefAX4InOzfF/z6K5DhH0SG/VZgS38s61AEFv4b6uBm\n",
       "YBf//vP+M0j4Q38Zw2hBm4WcPVBf+DOqj2MopkN/h0QGRkeYpcoT5RjgIV+m8yk6vO8HPhpZ72MU\n",
       "+9yXkTC/Fx37NyhPHu1n0G8TYBlyJEGCucav24PO/+srlNdISb3TRN3ER5H3+f0U674GCUFgAuoQ\n",
       "k4FzkPFyFM9HlvTqfRSNzN7+dYP/POS3fWVk/ceBu5GhvAuNB/0ROAkZx7/49cYCj/j1fu/3A/K+\n",
       "A9Ey7gAc7N9/l2IU65BhCt7xH5AB+h6KsB6MHc+rY+UY9OUARd1vQ/U0h6JIPIy8bIBnI/v9DUWj\n",
       "ehsyItH9bVjivztTFKk70bEvA36EDNAnUeQfxiP3Bg4APuA/DyCHxqHIIFpnUZLKNwO4IvKf81Hm\n",
       "Ic71KIp/Ho13/yxhvX+g6OwrwC982ccjhyU6ltrvl3ui6B5f9lVI+C5ARhj/flfk1NxDUQyv8+Wf\n",
       "5F8hIjyX4nj8H1G/me+3c1esvCt9+cb7db4P7ObL8JOEOoiTVJ44F/vtrgPejrIzr66w3fdG3l/k\n",
       "//dRJM6XMVpA82g//cD/oPkOL/vtB65BDhjAeaSvP6MCJpjV8RZgPyp3tEABCc/a2PdnIqN5CIrg\n",
       "Li/x/5cYmT6PeubPxdb9LEpLleMHqMPegQxX4DuMnEgBsH+FbUUpJfLPR96fhtJFr0PiuQ8yKlGS\n",
       "yrEe8ty3QZNdvo3qwVGaFyPvXybbGGrSsTyEorrNUP2dEPntUEZG7qBzHj8/5co3htHHU6pOo9HV\n",
       "JagtTQWejHz/NDLq+wIn+jK/x3+/VYntxvfnYt8VImWMl3+wwvbOQynz/VFUfAKKGKP8EWUo7kSi\n",
       "exwS+PdRmTTlidbPNyk6dg9STJ2CnJHfxv57EHLkJiBH5I3Ar5Dztya2bqPbz3uRs3cUatcvRH6L\n",
       "tqEC5fuIkQEbw8zOvmic8CBGNtJyXEox1QXyCkEpr4f8+2Mjv69CnTJwL8U01NZIPJL4NZr1N+Q/\n",
       "z0MRS5yfomjwCCSeIOE+LLL+VOTlXo28/MWR70EGO1rGPwJv8u+PRFFpEusDf0WG6lqK42eBUuWY\n",
       "gIzHKpS6ey0yBHeiaHMbv35IcycZrPh3pf57JcUU2QZ+/0HUfwh8GJ27MB75a0ae3yBGWceOHKqT\n",
       "3SmmZF9PssGbFdn+dv79k7F1pvltXAD8my/XahSJHRYpY0hj/gb4V/++Fx3jlaithJTswf67Usf2\n",
       "DBLkMAQRTYsu8fs+HbgQCUecK1H/ugJlSvZE/Wx1wrrryO70z468P5Di8MilKNKbjFL/e6HzGuhD\n",
       "46qfR3URzkmv/y1+DI1uPxMpZl6OZqQzuB3FlOzhjMwwGTVgglma85AIbIDGEYKgnY5SRpehDn1m\n",
       "if9HjdzJyCjfhMQieJafRxHh9ajBh//8DqUbb0ATIX6ChONW4J2MjMii+7kMpZv+hFJTPyJ5Us3T\n",
       "yFAspJj6vB2N21zqy3kpMi6PoxTUBWgSx3l+/YtRZBwm/bwL1dFNyFiEySHxMr4bjcPchCLuS2Jl\n",
       "K1WOm/2+7kAefUj5rUOe/um+fGGyh2O00MQ/r0347wA6pz1+nz9A417r/H9+7P/zo8h2PoWM5s3o\n",
       "HP17ZH+lypD0G8iB+gxKq12FBGZVwnqHoXq8Efgvis5KlHmoLYWJMR/x3x+JIrcbfXnDJJN3I4G6\n",
       "GbWLjf1/z/bluRpNQropdizxYzsWOIPi0ED4/nC/vxvQBKBzEsp8lS/379EEm/spnus4X/dlDZN+\n",
       "Kp1vUF+8FR37SShbBHI2PoUclmvQOYymQt+B6uEFv89xFOspfn7yaD9n+u3eiJzOZyPrXIvStbeh\n",
       "4ZefJdSDYRhGRxAyBGPQmFne1/sZ7cseyJk1GoBFmIbRenwSRWG3oAjhwqaWxmgnSmUuDMMwDMMw\n",
       "DMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMw\n",
       "DMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwOpVChd8vB3bPoRxG63MFsEdO\n",
       "+7oca3eGyKvdXY61OaNIVe3O1b8cRu2434DbN++ddui+jFS47cDd2Ywdd9h+jPYgsT305F0Koy70\n",
       "A2OaXQijq+gH+ppdCMNoJiaY7UkfZryMfBnAnDSjyzHBbE/6MONl5ItlNYyuxwSzPTHBNPJmAMtq\n",
       "GF2OCWZ7YilZI28swjSagHsfuD2aXYqACWZ7YhGmkTcWYRrNYAWwrNmFCLSRYLohcDOaXYoWwWYs\n",
       "Gnljk36MZtBSjlobCSZHAJ9qdiFaBIswjbyxlKzRDFoqOGgnwRwExja7EC2CCaaRNwNAL7hKdwcz\n",
       "jHpiglkl/f5l2KQfI39C3zNHzcgTS8lWiYlEEYswjbwZ8Etrd0aeWIRZJSaYRawujLwJgmntzsiT\n",
       "lho7N8FsO1wBNaCWaURGV2ApWaMZWEq2SkwwRV9saRh5YClZoxlYSrZKTDBFqAMzXEaehAjT+qCR\n",
       "JyaYVdJSFddETDCNZmARptEMLCVbJRZhCkvJGs3ABNNoBi0VKLWbYNp1mLlOvnBjwJ3S+P0YbYCl\n",
       "ZI1m0KmC6QrgfgCuUSJsEabIM8KcCnw0h/0YrY9FmEYz6NiUbC/wRmBSHbcZxQRT5DmGOY6ioTS6\n",
       "G7usxMgZV6BzI8xhwzq1jtuMYoIp8hbMXnC9OezLaG3sxgVG3vQC4brzlsAEs/3IMyU7Lsd9tSju\n",
       "InCzm12KxuDGg0ubEbII08iblnPS6imYoUM1SjBbKjRvInlHmNDdadktgJnNLkSDOAH4SMp1B4A1\n",
       "mGAa+dFyE80swmw/8mxEQTC7eXbyAJ3rMIz3rzQMAM9hfdCoGbdTysfEmWDWgAmmsAgzXzpZMMeS\n",
       "/tj6geexCNOonQuBeSnWs5RsDdh1mKIZY5jdXO+dLJhZjm0AeJYWMl5G2zJIunZnEWYNWIQp+oC1\n",
       "WISZF50umGNTrtuPUrIWYRo14ApIMNO0u5YTzHo2/jwEs0c3Rii80qB9tAN95Jca6/II041BTmWn\n",
       "CmaKlKxbABzv17OUrFEroU+lEcyuSMlOqeM2k7bfMpWXP24vYDIyXHmmZDtVMCoxNrbsNNJEz8uA\n",
       "f8Em/Rj1YdAv06Zk87J1qah3SnYNjY0wo8tu5LPATuTn6Q/5ZZdGmMOdulMdhjSTfsYCc7CUrFEf\n",
       "sjih/WjcvGXaXL1Tso9ggtlIBlEEvwaLMPOg0wUzzRjmIEXHya7DNGolRJhpU7ItldWod0rWBLOx\n",
       "DKL6zctwdfkYZscLZtoIE+BFYB3d3f9ywg2AW9zsUjSIrCnZdhPM1E8fGQAeBqamvCg1K33AK7RQ\n",
       "5TWBIJh5T/rpVMGoRKcLZpoxzGDg1iLBtAiz8ewNnNnsQjSIrCnZdhPM1NHFALAKeImioa0nfajy\n",
       "ujXagZGCmVdK9hW6t847XTDTRJhBMF9EfdsEs/FkuQNTu5ElwmzLlGyW67TWogMcqrCuxx0BbknK\n",
       "7YfLKVqm8ppAMyLMp+lcwahEpwtmmjHM8PtaJJjd3P/yYhyNCTpagbaOMNMY3Sx3AnmRTILJ0YAD\n",
       "7k6xbj/wGC1UefnielEd9JPvpJ+nsQizUwUzbYT5IsUxTIswG08nC2aWST9hlmzL2Px6CmY/2QVz\n",
       "iPSph26PMKMNLM8I8yk6VzAqEY67m6/DHATu8e8tJZsP3SCYHZuSzRJhZkzJMj7dusMPMH6BFqq8\n",
       "nBmMvK+DYLrl4D5aYaU2iDDdGM0qbAhBKDvVYRhLupTs3VhKNk86WTCzpmTXMHyHt+ZTb8GsJsJM\n",
       "s24fSgd187T2qGDWIyW7CZqNV452GMM8Afhmg7bd6SnZAaCvgjEaBH4PfAlLyebFEJ0rmFkvK2mp\n",
       "oYB6Cma1KdksgrkWE0yoT0p2gn+VI6RkWzjCZAZwOLhGPOS50wUzePnlzu9YYCUUvoOlZPPCR5gN\n",
       "uTyv2WSJMEMQ1jKZjXrOkq0mJWsRZnrqHWFOACZWWKcNUrLDon90utXdXHA3pNz2ALCajhRMV6B4\n",
       "Q/VyxzeIhkKghQxXhzMOCOen0xhE9ittSjZc/9sS7a5dUrL9mGAOoutcQQas1rz+eMpGmK5Ae6Rk\n",
       "JwDXoxRzGmYDi1OuG64tbuXjr5YxwMtIMMsZr2DgoIVSY83HvR9co9Km42LLTmKQ9DalowUzY0rW\n",
       "hedbZo0wWznaqYGK4jcIPOrf1+OuK5VSsv3IoLb6zSImAg8AkzKsPzFluquTBXMs6q8vUP74xjIy\n",
       "wjTBFB8Ftm3QtjtZMMciwcySku1Iwcyakh2KLcvR4SlZ1w88kGLyxWP+/TpqN17jtU1XahvjUPTx\n",
       "Iq0tGBPIJpiTULtP0+46WTAHkBBWOr/RCNNSsoDvp5OArRq0g04WzBBhWkoWdb7nSXeig8FKcx1m\n",
       "H6kqrqTxT4n7FLj5tW2jKqajRyiVM/pxwYxFmG5rcAsz7HNCbBlnEhKLtbR2hDkB+CfZBBMqj99C\n",
       "UTA78TrMEGFWEsyx5J6SdeMamO6sB+OR7TTBzM5YUl3b7Qp0uGBmnSUbhLJOEabbFE1/r4U3kH4s\n",
       "rJ5M98tyT3oZRHe9WEPyNXHvA16fYZ+VBHM68DidF2EGoUyz/gDwDK19/NUSjTArjWHmPennY8D7\n",
       "c9hPtUz2y0YKZtrAo91IEWG6o1Bw8GZsluwwQ2iMrF4p2UVAlggriekUxSuG+y9wb65x+6WY4ZeV\n",
       "BHMNmrWZlJKdFtlOGoLDUirSmgY8QXtEmFlTspAuwhxL56Zk045hxlOyeYxhboQyLq3KFODvwDJw\n",
       "jcg+DCFntY6C6Ra1yMX/aSb9HAf8K3AycCWpMhtutrJsjaWZs2SH0CSWes2SnQnMqP7aJdeDOsK0\n",
       "EiusD6S9UXxWgtCV2jeMFsx4XUwnm2BOQPfxbfcIM+ukn0mxZTk6YAzT7QNu/YQf0o5h1jkl6/4X\n",
       "XKXIbBklHdeWYDJ6lOF91GwT3ISEa4jHUXfB5AJg5zpur1pCSracozEDuAMKX4fCPaRLyR6MJmI1\n",
       "lGamZLMIZpobF8z0Zaj2sTiTUX2UEq1ZZBOkLKRNyVaKMLMYmfGo/ksJZjtFmH5sN5W3PzG2LEcn\n",
       "pGRPAl6b8H3aMcx6p2R3BJaX/tn1IOe01QXzaeARZBdS4KaBS7JNbwP+I/bdONSm6ymY84G5ddxe\n",
       "taSZ9DOD4nwNSCeYs0l9LkoxfAvWkjR7lmxWwSxXcaGyqu1o02LLpO034m4ykC0l+ygy4nFvv5oI\n",
       "8yHKp2QfR+e0RQXDjUHtYQ2qkzRR4yQkAG0QYbqeOgwDzCE5vZl2DDMaYdYjJTu7RHkCc1Bbb4Jg\n",
       "ps5OTUFGfyU6nvh2zga3a+zLz6LbOMaZD8yLfZcxwnSvUtndTeAS7Kkbg2xDjYJSF8JlJSX6lOtB\n",
       "dvCJyJdpBHMWNR2fGwTuVeq6NM1OyXovqmJuPc11mEHMGiCYrkBFwXQTwcUbflpmoDRFmpTsgcC1\n",
       "jPD2XT8SwCzHHgSzXEr2CXROWzXCnAA8CwVHNsH8J6McBdcD7ppYlNrslOx84Nwaby5fSjBTjGG6\n",
       "AiOvw6wxJev6URsvJ5hL0dNRmhFhTq68yvB65SLMXYFNY9+VmmMxhxGRnwvC8AypBNNNB37jt795\n",
       "iX3MRHcOShD33BmkfEp2KrAKCusi36UVzFqOb3fU344qt1KzU7Kr/X8GK6yb5rKSmUhEahHMdSX+\n",
       "PxHVQ7kI8zjgC1XuezpwJ8MRpts9wdv1gll40QtE1HiFss8At3+Cd5vEeOBByqdkWzzCZAJqQ5Be\n",
       "MCeSfBnKXHQhetTDbLZghrIsqO7vrhcZkkoRZqnjGwDWQeEV/7nWlGwQl3KCuQy4GpjehHuppp1o\n",
       "NBkZ/YQI0w2gO0nFhWsBMshx5jIyVRpmyKadJbuhX+7il6VEGaqOwNxccJtnWL8AbrMSP1ZKycbT\n",
       "sVD+6og54DZC52F8DZcj7QtcDBxdrt01e5bsc+hSiUrrp0nJzgT+Rm2CeRfJUd4sZJjLCeYyio03\n",
       "AbcA3P+U+HEGw4Lp+pHHGJ+oEZ2tCCON1zTgH0gEjkeXxwDuWHAnJ5SlH3mcj6O73owHt19spXaJ\n",
       "MLMKZogw4+uuF1tC8Xl8hdqv8a2KRbFlVqYDvZSPMMsJZjQdC6NSsq4f3FcyCFsQl3LCtAHwVyTm\n",
       "lR4OUG+yCGapCHMpsqsRJ8cV/Ockx2cuMDMSWVYQTNfvL7sIbOCXwUkuJZgvUzICc18Gd0zyb4DG\n",
       "Wf+9zO9xlgLXlBgTrJCSTRTMco7aCb5ss4BXGD4fbntw389Q5n39dv5EmaGxZqdkn0u5ftoxzL8C\n",
       "K8D9pvLu3RngomN+05DglhLM24DJZQaGlwEbjDQerh9cmEW3C3BsifRzEMxpfju9wMaxdZIEMxiv\n",
       "6Whs82nUccK1pK8G9krYn09lstq/3ws4SzdtcN/16zQ5wkwlUBMp3l+3xpRsScGsICruiDLedK3U\n",
       "KphzkNNT7RhmdMIPjE7Jbgy8i/STSWYD95YoT2AL4CbU9vJOy6ZN6ZUbw9wQtcWoOE5CGR0fYbp+\n",
       "/yqgungmsp1KEeYK4Du6jAIoCuZufpnUVuYg+1UqwtyR8jNot2W0PSrHctSmFif8VucIky182WYh\n",
       "GxqOcWdgLx/tLgV3wci/uR5w3ja6Gaj+b4DCMVB4ghJUKZiJHmU1Ny5IK5gVLitxPahz3Q4cArwK\n",
       "XMRLiJfXzQfeAbzXf94RVVhEMN1umtkG6CQ8hE50qXHGpaiBR43BYcDP/fvN/O9J09AjEeZww6wk\n",
       "mPGU7BOooU2lOAtxc7/fOOORWAbB3BJ15sOAI/xsvmZHmGmii3qmZNdD9RsVzDRR2MeAN1Zxp6U0\n",
       "LELntBbBvAllLuIOSJrrMJMizGj/28Ivt/fXKYcx9Q+WGHedjW6UXyrSKaCbAdxIcwTT9103SZfj\n",
       "lCREmCsZLUIbAr9lZKQ3n+Hsl+sHTvWvcGnX3yg6HUOMEky3Abjz/e9bouzQYeB2QIJ5A7p29U5K\n",
       "R5g3ALP9cE9krNb1oPHWLSPfjSm2F1dAgrm+L3salseW0X1NQOnsvhI6UkowSznQW/j99KAsWzgf\n",
       "m6H2MwvYAzgwlq59DXCp14kVwPWRoYeSVCGYbjPgroiHE10vkpKtmKapZ4Q5BRnOhyg2GH9jZDcb\n",
       "uD02pXtn1HFP8Ebut+iuEvcC/b6zn4NEFVTpK1EUl5CWdQOowV9L0eMDeX0bg1uMxOsFRgnY8Kyw\n",
       "v1MUu5WMnnpfLiUbrpl8HHmSQ+BmoWh1piYkjSAIzSokIFuilM3bUZtYQdMjzFSXfWQUzOEO+0DC\n",
       "9tcDrmKkQ1MhwnRz0XnaEfhv4EMV9j8v4tX2+Akb0d/Hg4s+pmwRuntVGcF0R4Er5VzMQcf6BKMN\n",
       "e2wM060Hbo/YOuWyGqA2vRo5nu8GdkazDD+PjFSc2cAdfn9J8xbmoPb3IE0TTDcb9aELFXkkjomF\n",
       "McxHGCH+7kjgADSkMjeSTVqArtlcqX2wNzLYc9H1nA9RFMykCPMAJJAzUV/9LfBFlD58FXCZX+8P\n",
       "wEIfVZ1N8frb2chxmgmch+ZbBBahdrBJxKn6PPCfkbI7NBFrWXK1DR9/sPnLkejFbdgK4EEoPElp\n",
       "u5IiwnQHg/sGmqsxE7XxlYx0YDZD9m0zYDuUtYve2OB4v92dfLmuK39sopoI80hf+HNiouiNS2Ed\n",
       "yiVX8kZigul6y4hsJcGciSrrcf/5WopPEjgMeX0HRdbfGfghGuS9GHlsc5FheRLNmJqFHkw8BTWq\n",
       "EoLp9gc+iaKWvzJaMG9G18FtBlyIjEyUXdHY6SMUI8yfUX2EeTPq8IegTnobo2/3N56RKdktgV/5\n",
       "fd6AjF0PxZuvNyPCbIBgMh7V4ZMJ6y5Bhi5LSvZVwO+A7VGn3L+Co/gfwM/BfRj4ABrniQrQW1C6\n",
       "LVzYX0Yw3WSJHN8Bji2xvznIID/M6DRo/Nj+Azg7NuRQKSW7OfAjNNzwKPA61NbXAfExcZDhfhi1\n",
       "9Tng3qMoyQ14cdkSpcUczUvJHgX8GrgI+ATwGKMvNQgR5qNoot1GPq13BhL7y/zvwXgvQPbhn6jO\n",
       "wnyHjZFYVhLM16D2vReqo8+i8bZ/9WX5P7/eVShg2Bn4F+DrkbTvvcjWTkcX+Qc2RfbyITSk1AO8\n",
       "CWVNelHbvhZl70qkZd0UcKcAt6FZ5suBnzJaMPcDfuHfv0ByWjZNSvbjyGZfgmzuLYwQTBeGtH5K\n",
       "UTCv8UvALUN1eQZqu6kFM8040WRwByIv+gzgjajCzwLeDu57yNCP8QcGcCtwIrhv6v8cjSKoP6IT\n",
       "DzKIYdLPG4BvAX8C907kAb0InI3EdyrFGxcs8l76ncgATvHr/wl1Mgd8FXlk44EjgO+i8cNfIuO/\n",
       "p8rHhagh/D/gNCQ6j/vtfQtdwnEPMq7vQB1kPXDv9+W5APiGP8bLUWplV3A/9N/NBd4JfBCJ2kXA\n",
       "m8AtQAZ6GzTY/BXksU709fw24F985OB83U5mtLfvJ+wwB4njI8jbWoM8qFt8/a7wUfA84M9I9FcD\n",
       "d/v9jfXH8lpfdx8H7pXhcs2KMNf3EdzD6Jjejc7/JagNrULHExXMJZFMwmJtg9v9b2v952f8aya4\n",
       "Y1Gn/gYSyt8CH1ZKjh4kGCFtuQzc86j9TEF1/DbgB6j+/4aM4Tbgbk84noWo32yFDOqQP7Z/B/co\n",
       "8BPUJi8AvuwN0EJ0a7D3+uGBRcjoboUcvTvQ+TwR3LdRWxkPvMfXywrgCmQM1wN3BzI089B9h3+I\n",
       "DNFSZMweAA4Cd2mkzPE2NxCp4y1Ufo5D9379GDLMXwYOBfdpZOyfRI7cfORgPIwyOh/0ZXvJ199K\n",
       "lI4F9cNG3SikFPPRMb0D9d3zUB1/wp+Pdei8zQaehsJacKuQvbsH+AUUjtSm3P3AcnAvIXH8J3Lw\n",
       "jkZ2sAeJWogwl/r+voSiYE7zxn1n4HOo/WwKXAOF//Pidg8SDfx256Hz/3EUJPwnapcPIftwmcrg\n",
       "tvf/3dr//1lftqtR3b+C7MGpKCDYEg11PeCPZ4Uv0zHAKcj+PoTs3Ub+u8/4lOdMfzyHMDwMxgvA\n",
       "tuBOR9mZc/33s1GbjrIOeB2453x9TUV9Lzyvd5Xf5yP+/O2AbPUfgX1QEHOyjsddAnwPtdU7VUbm\n",
       "Ah8mBZXSppejaMswriA5zdYILsfanSHyaneXY23OKJKnvTMMwzAMwzAMwzAMwzAMwzAMwzAMwzAM\n",
       "wzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzDqiN183UiL3XzdaAZ283Wj\n",
       "GVTV7lz9y2G0KXm2BWt3LYfbBtydzdhxh+3HaA8S20OaB0gbhmH0kfzwdsPoGkwwDcNIQx/pHjhv\n",
       "GB2LCaZhGGnoxyJMo8sxwWxL3Cxwvc0uhdFVWISZG247cGc0uxTGaEww25OzsRl9Rr6YYObHPGBZ\n",
       "swthjMYEsz0Z51+GkRc26Sc/zDlpUUww2xMbTzLyxox4fphz0qKYYLYn1qGMvOnHBDMvrH+3KCaY\n",
       "7Yl1KCNv+oBecJXuDmbUjvXvFsUEsz0xb9/Im2DArd01HhPMFsUEsz2xDmXkjQlmfth48TBuJ3AL\n",
       "m12KgAmlu6PSAAAgAElEQVRme2KCaeRNv19au2s81r+LnATs3exCBEww2xPrUEbeWISZH9a/iwzR\n",
       "QnVhgtme2GUlRt70xZZG4zDBLDJEMbvRdEww2xPrUEbeWISZH9a/i1iEadSMdSgjb4KXb4LZeGzS\n",
       "TxGLMI2asctKjLyxlGx+mENcZBwtVBcmmG2HKwC9tFAjMroCS8nmhwlmEYswjTiuAO6UlCubp280\n",
       "AxPM/DDBLGKCaYxiLPDplM+4NME0moFdh5kffUAPuC63z66ATfoxEhjrl2k8KTNcRjOwCDM/rK7F\n",
       "ANIoizCNEQz65UCKdS3CNJqBGfH8sD4uhvyyZerBBLM1CIKZxpOyzmQ0A2t3+WF1LYJgWoRpjCCk\n",
       "ZNNEmHY9nNEMLMLMDxNMYRGmkYilZI1Wx8bO88P6uLAI00jEUrJGq9MHvIRFmHlg0bwwwTQSyZKS\n",
       "NcE0mkEf8DxmxPPA+rgYAhwtVA8mmK1BlgjTUmNGMwiCae2u8ZhgiiFgFRZhGjFsDNNodfqxCDMv\n",
       "rI+LIeApWqgeTDBbAxNMo9XpA9ZggpkH1sfFEPA0FmFWg9sa3CHNLkWDyHqnHzNcRt4Ewex2I54H\n",
       "fcCLWB8fh0WYVbMzcFCzC9EgskaYNpZk5I1N+skP6+MipGQtwqyCcf7ViZhgGk3AFTLc4NvGMPPD\n",
       "+rgIKdmc6sGdXOkBGO0mmIMV18qEW1bf7VVNlpSsdaZccbOaXYIG8g7g4ynXtZRsflhdixwjTDcI\n",
       "/Dcwqdxa7SaY9Y4wfwduUZ23WQ1ZIszg6afoTO5fwJ1QfbEM4PIWcqzqzVwgrUNgKdkRuGvA/RBc\n",
       "mj6bFXOKFektJr9JPwv9cqjcSt0umJOp4FHkRNaU7HOk60wbA5tUWygDgCmonXQiE6lgICJY1DOS\n",
       "5cBuwPoN2LY5J4r2JgIXkU+bC4JZVmPqLJjuGP/Qz0ZQ55Ss60HGYmL9tlk1Y4HV1D8lO570BtFI\n",
       "ppPrMItg2hjmMK4PObcPoPZRbyzChKXAp1Ed5xFhhkxjXoLp+oGzaUwDgvpHmKGcE+q4zWoZRKmH\n",
       "LCnZNIZriMadjy7A9aA2Z4JpUU+UKai/Pkdj2oYJpuzWs8A68o0wy57Pejb+IDwzULRUb+o96SeU\n",
       "txUizEHgGeo2S9a9HXiBzo6O8mAQKNC5dTiRVN67KyBbsSbd+h3PFDQZpZGC2e3p7/FIR9bSmRHm\n",
       "cCQzvY7bjFJFhOl6wb2txI8TYstmEgSzXinZzdAYyxCda+w9bhG4zRu08dCmO7UO00aYY4CXkbdv\n",
       "EabGtJ9CEVCdMzgjnJNuFswJjIgwGzbUF1iEBDo3wQzC00jBzBphzgZOL/FbK0WYY6mYknVXgNuY\n",
       "dII5CR1fFwgmbwbOy3A9YRaGYstOI7SRSvQhw2WCKRqZkh2DHqO2lu6ua5+SLbyCnLVG18VC4A5y\n",
       "nCUbTckm4Das0ah5wcy0jSnAALixCb+1YoRZLiW7EE2zTnNZyUT/6oaU7AwUTR/WgG1bhCn6kQF/\n",
       "ie6OegKNTMlGnZNuruswhgkNT8u6AjAf+BstlJL9GbB1DdsP0WWS+JViql8mXTrSioJZrlFMAmYy\n",
       "YvJFyTTFJIrGsFONfWAG8AdgnwZsu9MjzImkG+YIRjzlA6Rdm040K3+XlwhBMJ/FBLMBuF5kE5/3\n",
       "XzS6LiahFPgTNCHCLCWYcykKWDWEjp0lLTvFL8sJZhukZF0BlXMGajhrKZ+mmIiOr1sizDtozLWS\n",
       "HRxhul7SO1QpU7Jujn9zO7gqh2Zcv79soxmkFfpohFlv58AEU7b+OZ+OhcZP/JkOPI4EOvcxzISU\n",
       "rBuHjHhKo+a2AbdZ7MtxyAtIOCA3BdxRCRsKgpm03wlokLeVIsxSKdlxQC+KMEN6rJzx6rYI8++Y\n",
       "YGYltP8x4CpFjdEIs4QRd73AXeAmAvMoOTRTkU8AH6zyv7WS1nmeTOPGMFPUdccTTcdC452Hpgnm\n",
       "IyRHmLP9Mq1ROwZ4Y+y7ceigkiLMbYCPJHxfKcJ8EJiox4YljnPmRaWUbCh/SMlW8kDDGOYQI8Z9\n",
       "3X7gTqtPkVuGGWjsoRGC2ckp2YmozVUw+m4O8FEqR5jTUR9dii7FqTabtIjahm5qIa3znNcYZrdO\n",
       "+gkzZAN5RZgVz2e9xzDvIVkwQ6pmSsJvSUwfuR3XiyrsKZI9gOmRfQBuKrifUFkwH/LLrwKxSxPc\n",
       "7uCmpSxvrVSaJRs835CSreSBTkTHPMjIqHxjYMvSxXAFcBtlKHeTcQWKEWbatpWF8aQY18iG2wHc\n",
       "R+u3vaqZCKyispHYGngblSf9BKd4Q7+sVjBno8uimkFWwcwwhuk+BC7NxLScUrIu6wTKPKkiwnT7\n",
       "gft8lftrWoR5D8mpmKwR5vTYdoLhf57kCHOatj0cJS4FDqQouqVSsg+hm0/PSij3qcBeKctbK5Xu\n",
       "9DMJjVmGCDOkZBMakRvw25mB6ix6rdh0yt9seyfgF5FtFcDtmvYgmsAEVA8P07iU7ErqG0XsDhwJ\n",
       "7tXgfpTtr66e4+1pBTP03UqTfoLDuoFfVuvAzAaW+qdH5E3a+o1eVpJ2DHMbRjnlieQ1hvkdZCNb\n",
       "kbhgpokwlwNbVLm/pkSYQTBLRZgvkd6oTWOkgI1DYlnKAwj73ATcJ9EYyhhUiY8Bk+RNuYsi4zUh\n",
       "JRueRDEzts1ZFI1FDLcjuOMrp3HdFHAVRHd4gsNzlE/J3ovqpJ/yHWoi8CTgUKOLNoIZlBfMrYE5\n",
       "kdm3GwK/B3dE+WNoGjPQ+X0GpdZraM+uAO6M2HjeEPAo9RXMDYCN0MPQM0Tzrhe4v44zULMI5hXI\n",
       "uSyXJgx9JfSnWiLMR1E2JG/SRpjhxgVZUrKzGG1jkshLMBdRvB1cA3Dza/hzuMtPYC2V6yIEPikZ\n",
       "EQw0JcIcD9yPxCneqWaTLW0WS8kOC2aJST/D6x4InIxm5II8jntQA58OHICut4FihBnEId6YZzMi\n",
       "zTuCo4EvAR+qcBx7oxsIl2MKMvhrKR9h3kW6McxJyPsNxjAumDPKCMvWKNoNhmNb4EbgsxWOoVl4\n",
       "wSy8hNpHSjFJvBxnEno+ZPScNyLCXIayBUdT0iFLZCYqYwpD5L6h1G9ZsgjmT6GwL+lSsiHCzCCY\n",
       "bh64Cf5+1JOQQDcjLZslwqxGMNMY9Lwm/cwhW/vLgJsP3FLD3XmSUrKVIswyDokbB+7Q2Jdz0eMd\n",
       "e6m/YLoNNCZYtgImIMP/KKOFZg5wO6MiTHc4uPUSthVPyUYjzFIpWVC6awrFR1pNRpFZ1NCE/QXB\n",
       "BHiFEZXtxvr/lBLMBcBlFL3pUizx65ZjIXI0XqT8GGYo62TKpmSHDeFqRgvmdDTbttTY7FYoMg0d\n",
       "aTvgu6RLJTWDEGGCnIQUDplbH7gl4Yd5fhk9XxUiTPeBZGFyx+tZpABuO3Cvi/y4AWo7E1Xe1JdQ\n",
       "BCdwXtm1xI5UPmdpBXMWmswHlVOyT6Pje5mS58LNS3Covw4ci/rgY+j8tGiE6QoUy5nlOsxqIsxy\n",
       "l/Ak2c2UuALlA4JaWUxtj06sJiXr6zcxGNgePS4sygJkC2dT35Ssm4Dy74cCh5RZMUxTvxdVWJTZ\n",
       "SDDjnehjDF9w7vYBt9xfgtKLxiTDhcQJEabr8euCDvgeIBivndFkDXx5JlM0NFHBfBR17lsZ2ZiD\n",
       "J1jKA5sP/JHKYri+tuXKneyoYJZLyQZnZD7lO1RYdxVqdNFOPQM1vlk+JRFxPtwAMnbXUzz+7YBr\n",
       "oLCq3EE2kbhgpkn57wosTzgnwaGKpqkqRZiHAW8Ctwu46P/eBQSRPBRFk4Cb5Lf5cyQKjzPSUesr\n",
       "k8KfF1uWwBVQuq3Sg9FTzpJlNkXBrJSS/SvF4YNIhOnmRpztHwGvjfzWjxzd9fw2HkZ9uQZBqJo0\n",
       "KVk/N6AQHNIUWQ03gNpmnVKybglwUw0R3BS/7TpGmG4I3LH+w4LYMivVXFYyC+lGkqO2GJjHyId9\n",
       "h/6+gDpHmHOQ4b+R8inIkHe+j9GddT6jLi53QygSXOq/+ADwBhT9hHGpcPBJEeaBwE/8++nIAA34\n",
       "MmwGXO1/u4fSEeZq//ozowXzBUp7YEEwK40BLEEp37ll1lmABLNSSvYZNOa6mJIpm+EbHKyidEr2\n",
       "DnR8rwN+Gvnzpijtey8w2xuyTZGANgk3h/JPtJ+NBA2UIotnMAYSPPEd0TlJaqMwspNXEsz1Udr9\n",
       "bOCdfp9L0dh5SCkupdjGl6FLYM4H3oOEKGq0tgcuLDE2nlIwmeLL69umO0lj7qOYTaJX7TYoRsfD\n",
       "60UjzFKGaw5yPEHtKJqSvRw9bBk0brs88tuOqH8HwXyE5glmmpTseqiPQPqU7Ay/bpaUbDmR2BjZ\n",
       "r2ojxNmMyCS5cncNS8tOwJf9dioIptuD8ndVqnBZiVsGbsPYf2YhW57klCxmdJ+PljEqmDVP+pmL\n",
       "DP+3gM3LpJDCQd47smBud2Twf89Ig7al3//6vpK3RA0hFP5ximnZcJuk6Bjm9sA2/r/TKHbW36DK\n",
       "CYJ5L0XBvMsfSyjvaiREVzOyomcjAU7wwNwgMqQ3Iq+lXB2ujwzufDUQtzxhnTQp2SCYp6BLUEp1\n",
       "qG8DH2ZkhOk7tevz5b4TNa4Veg13lK2ROK70x705cBcUnitzfA3EFYBzgOPLrLQJcJt/n5SS/QIj\n",
       "nQJQFuIJiu0gMB+1h5QpWTcRtcvZqO3s6X84FPg+sMzXuRdMV0Dt+29QeAwKv0PRVLSNLffbTJqZ\n",
       "PBdN5qokmAtjy2MoRrtRNkERYWgfc8BthbJI0RsHZIkwo4Lpz4UbQnWwK7pMayrFS09AM9F/TWsI\n",
       "ZpoIcz1UPkgvmLPQHI7+0bN/3SC4qF1MK5hQHC+ugDuLkZeLzfHlCW3vDOBr6bYFavtum9iXm1Ec\n",
       "xlqAhrkSAgp3NPA74PAyO4hP+onXxfuBD3vhPNj3s+moPSc5JUGPon1+AXIA5zMyJVtzhDkXGf5b\n",
       "UfRYamZfEKD7GJmS/Sy6qcCjaMwmGOhtUZS2FBmB6chghMI/RnEyT1KEuRXFyySm+/K9iLxZgD+h\n",
       "KHElEur5wFXAen4MZToynAegMaV4hOnTS6NSd/OAB6GwBhnpEl6j60cNMqRu9wF+m+DJLQT+yYiU\n",
       "rHuvogz3ez+A7qPGwhXI+P2ZUY3I7YFu9rAjyWOY05DBfcSXeTNGXmayFXADxajHp2ObxgTURvYt\n",
       "s84WwM3+fSwl67ZGKdMNikbKTUBt+eeMNsjzUL3GI8wngUJCO1gfuBvdI/mDKM07CXgVEun7kTCs\n",
       "j87rNCTWf45s4xE0KzmMKW+C+kkkZTmifNcyLJiuAO4EcL/WuOAwi5ATsci3801JvvZ2U9RnQvs4\n",
       "Efgiageb+uh8CLWxkJKPjWG6XnDHoJm7pSLM4CTujAz8OoZtiCsAr0dPFFrst/EIw1F97vekLRFh\n",
       "jhC0xRQjzOeBsRWcZlAfW4nObTwC+gASrECaST8boagrJphJ2Rg3CLwVeHvkyxAQTPeR3u7AIV58\n",
       "JoGrNGHrKOTMRtnULzdGNu0WRkWYbgD4Cjrmj/lhtUuU1RhBpTHMrVHA9D4UyJ2D2ugDDNevmwHu\n",
       "9X79xchB8ILpZvmy3YjqcALKUNUlJRsizLv9DvYFlzTzM3gF9zKs6G6BL9CPoPACGi8Mgrc98ENk\n",
       "ULZCYrYMNa54hBkbw3QF/5+/IyNUQAJ3m//uRWSYvoOirUnI0FyJDOV2Op7CU1C4BTXk6eA29YZx\n",
       "Fppk8xgjT8AgqugHfLn+qc/uSBmvESz2692DxHpPv924wxEiTJ+SdRuiGbgnoUhjP4oRJlC4xEd9\n",
       "6/T9sAB/GM0QXk1ySnaGr9OVFAVzJcXJISHCbBXBXIGOcfcShmAAtZ3b/RfxlOzhwDf97+H6rNeg\n",
       "dnEnyRHmnxgtmPFLcwLrA/8AjoPCWaiu9kQOy1VIyF+D2uKtyDHcCTlQgYfROfuLP4+bIPHY3wvi\n",
       "OHCn+N/mMkIw+QhKA/cg0Qks9PuYi4zXS4y6Ps1NpDjuH45td1/27ZGjuSnDE34Kzv8xbsR3RFmN\n",
       "B1CUeLf/PiqYmwKX+nU3Qg7tRv6YtkaG8BKUItxNdVpwyI7kHWUmRJhuMbCS4hh1JMIsvILqKmZk\n",
       "3fxYJq6cYO4FvDrSjweoPOlnI+C3wA7gLvPtZCvgcXDbxtbdxu/7yEiZZiPb9RSyufNQ9upIJGj3\n",
       "MTyr1M2TXRxV5o3BRYeaNgNuQg7SAvRAhHhKdkc0JPEl1JaORA7xgeDeGtlemTFM14f6yWL9j+OQ\n",
       "YxzqNwQAxwLf9wHHYhTVrocm6d2t8vMnNAx4dWSmfc0p2SXI2D6ABPOTwCngtoutF1Ky9+mA3K3I\n",
       "iP8aCi/7dbxRc1NRRZ2PDPt+qIIfQVFFiDDjghkizNlogPeXyKN/HAo3Iy/2duDvUHgWCicioZmK\n",
       "RPwaX84TVa5A4UUkxn9BQhXGxkIEUAB+BfwXMqxBMO9HXvm/AR8C9w597bZAxvo2hkWVPVFj2SNW\n",
       "b2EMM6RkD/T1+HFfhn0ZIZjDrAMuQOdiOmqM3/d18hSjUrLDE2RWIuO90P9/s0gkciNFwdwWGehm\n",
       "sRe6vOB2iunOKBsjp+cF/zmekn0dugnDX5DRAHWsH+t/bAfuu+C+4DthTDCHsxDRtHYhEk0soWjc\n",
       "QW358yj78DhwHerM//CvrZBxuiFSxkeQoVmIHL/lwLkonbULMmKfRsI7D7XfeUpF8T6UtTgDXdMZ\n",
       "WIicxsdRpHopukY1epmWT2UXXvHHNs3X0b3o3F+ExGwJxXQsqM3NB3e+MiAcAnwGOAI5KI/79f6B\n",
       "+nkPale/89s5Gom5Q+3xOOC7EYHcA7jQb6MZadmkCPMI5JC/xX+OjmHC6DHgXVCb/X+RdYJgrgSO\n",
       "BeezJm4I1fM6ijP7D0DnuVxKdiNUT0ehtnEicB5q72fFsiE7orkeV6nc7v2ojT/iXwcgR/li1OcO\n",
       "9Nv7tLd7pwMXFZ1WNwadp6uAV/vvelB/PN8vF5A8KXIv4DJ/vs9DtvNR1C6+jtoSlBzDdBORXboP\n",
       "9a8CyvDcS7F+g0NyMBLwT6LMxe9Rez4CDWtt4ss4Ddl2kAYMlMsYpLlX4Z7A/RI9d6Pf2RkqiPsq\n",
       "8rCWoE7+vD+Yuf6A34m8iMDTSAA2By6GwsPg7kIVdgAyHnuhinfAoeDuQx3rZ377mwKf8hV2E5pp\n",
       "62fEFtYA94CLpqCeRIZwHx0HpwKnMXyyh3kUTYj5IIpArkRi9zbUKPuRwZ3kjxG/vX1Q5fdoP+5Z\n",
       "dAPp/0YR7l4oVbohMnJH+Qb9CjIw01Gk4fw+Dkdi+SVfltNQw04SzL8D7/Xb+JUiT3eS/y1EH6+g\n",
       "Br4+EsxL/Tb/7uvwcNQOHtTMP/cIikgmo6i9WewPfA/4AfBV74zshdrVleiYbo6s/zSwG7jXoHM0\n",
       "Gwn+ZsDB4O5EjlkwGLujdM6WqD0vRIZjgrxdNkOG726/zzeh2a8LwH3Tb/+Xkf1/G7XFn/vPX0Pn\n",
       "+//8Nt4O3ACFtZH/PIyMweloQl24lvlrvkxzUFv6iC/zdUhovgT8j+8/lwLngHsjcpK2U31xPzq3\n",
       "P/P/+YTvvw+giUohfXqvr5PbkFHZDRnsg5A4fCFS3pf8tnZAzuM+wCFQuNH//jy4Z1B7fQ71072R\n",
       "eJyKzuf/+no9zf8W7ht7D2qDT0Q+5y2Y85SWHH6W7H3INn1QL/dX1I/vifznWWAvcI+itvRBlHL8\n",
       "NLhrUVZtR1S3M5Dwvh7cf6I+fz2yN8eD+w0y9EvRedwc3JVIQM5E/XoQ9eurUL/9DBKer6I+/1Pg\n",
       "m+DORYKyH/A1KPwA3ObAl1HbPw6dpzcCv4PCSt9HViPH+/+hQGBnZGdPB3e1P5b70Ll8K7jVyF48\n",
       "juaCfMnX33V67z6L+uHzyMaf7OvtR2i47l2+TOeqrO5zqA1G7w2+FmXbTkW27qcMz6YuOHC/oHjD\n",
       "i9eBOxA5n8uR7X8UtbntkSMahglDBs0HT4VXwCVkDIpUmhl1Oapcw7iC0dFxo7gca3eGyKvdXY61\n",
       "OaNInvbOMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzD\n",
       "MAzDMAzDMNJi95I10mL3kjWagd1L1mgGVbU7V3kVo0vIsy1YuzMCebUFa3O54R7zz6lsZRLbQ5rn\n",
       "YbYIbp5/zqRhGIbRvvRR+lmfLU0bCSYHomenGYZhGO3LGNI9i7nlaCfB7KNNK9kwDMMYxgQzB8bQ\n",
       "pmG8YbQmbi649ZpdCqPrsJRsDliEaRj15SjgpGYXwugmXA/Snba05e0kmBZhGkZ96cf6lJEvvX5p\n",
       "gtlg2jaMN4wWxbI2Rt70xZZtRbsJpnVuw6gf5oQaeTMmtqyA+wi41zSsNBlpJwGylKxh1BcTTCNv\n",
       "QntLqz27AE80qCyZsQjTMLoXG8M08ibY8LTtbnaGdRtOOwmmRZiGUV/MCTXyJmNK1gSzWqxzG03A\n",
       "DTa7BA3EUrJG3mRIyboeYBYt1EbbTTBbpuKMruFP4BY1uxANwvqUkTdZUrLT0GUoLdNG20kw2/Z2\n",
       "SkZbMxmY2OxCNAgTTCNvsqRkZ/tly7TRdhJM69xGM+j3r07E+pSRN1muwzTBrAEbwzSaQSfPJLU+\n",
       "ZeSNRZg5YbNkjWZgEaZh1I+sgvkyLdRG20kwzRs2mkEfnSuYnRw9G61J1pTsAynXzYV2EkyLMI1m\n",
       "0MmiYhGmkTdZIsyZwIO0kMPaToJpEaaRM64X9ZGW6bB1xvqUkTdZBHMQeIYWcuraTTBbpuKMrqA/\n",
       "tuw0rE8ZeZMlJTsAPJty3VxoJ8G0lKxRArc7uDc3YMNBKDu13ZlgGnmTJcIcAJ6jhdpoOwmmpY+M\n",
       "UrwW2L0B2w0dtQsiTLcZuEOaWhqjG8jytJJ+LMKsGn+nH1dodkGMlmMZ8kbrTTelZHcCXt/Eshjd\n",
       "QZZb41mEWQOh0nqbWgqjFdkAGNuA7XZDSjYYsAEa43QYRpQsKVmLMGsgy2Cx0TW4HmApFmFWQzTC\n",
       "HKAxTodhRMmSkrVJPzWQ9TlqRncwHxn6Rghmpztp0WtMK9ShmwPuKzmUyehssqZkTTCrpNONl1Ed\n",
       "y9DtsyzCzE48wixXh5sD+za8REanU01KtmX6XzsKpkWYRpSlwN8wwawGP4bpClROyS6s8LthpKEP\n",
       "eAW7rKThjKHFbsRrtASTgYdorGB2apuLTqSrFGEuQHdeMYxaGAOswVKyDacPVbRFmEaUcPssizCz\n",
       "0we85JeVxoEtwjTqQRBMmyXbYLJ4JkZdcIPgLmt2KSowCDxNYyf9dKBguh7U/19Ax2kpWSMP+lCb\n",
       "s5Rsg7EIM3+m0pg76NSTsTROMDs5JdsHrPOvIJiVIswx4Kz/GbWQMvAZfvBBSwVJdRZM964G3okn\n",
       "CGbLVF4XMAT0tbiRbGSE2ckp2ahgjqFshOl60OU7L2E3NzBqI21Kth94EVhLC9n8Ogqm6wO+AmxY\n",
       "v20ObzuaPmpl491pjPfLVp7sUccxTHdpzDnoFsGsNIY5A1gNrMLSskZtpE3JDiCxDO2zJahnhDnk\n",
       "lzvXcZuBMci7banK6wLaRTDrEGG6McBeFI8ZJJRhjK/T6GekQSqXkt0YuBvVhQmmUQtp56KECLOl\n",
       "bH47CWbUG+5i3L+Cm5/TzoJ4jMtpf9UwluEIs6bhgKHYEtTWnqOzI8wwS3YA6C2Rfj8U+DkmmEbt\n",
       "pJ2LMkBRMFum/9VbMF+mMYIZpr+/RFenZN0BwP8An8hph+0gmINo6nnai6FLMS62BHXUlpqlV0eS\n",
       "xjBhVJTpetBTTM7HBNOonTFYShaQYN4OLAJXbwMbH2/pVj4CHA8cmlOUGaKtVk/JvoC80VqMeVKE\n",
       "2XK35qojSWOYMDotuyXwDBTuIDfBdLP0MjqQKlOyrfFYx3oLZpgYMKGO24XiGGaXR5hMAf4MXA1s\n",
       "lcP+2iHCHIs64IvUNo5ZSjA7PSUbHcOE0YI4A3jAv3+BfJyn9wAn5bAfI38ypmQLr6DsUUs81rGe\n",
       "gjkOGZfV1F8wLcIUE2icU5JEu0z6WYOMeSMEs6XuNFJHkgTzFUbXYWhzoHrOIyU7DZiYw36M/Mly\n",
       "Wcla/75l7H69I8xGCWaY9NPtEeYEZMAbUcdJtEOEGU3J1iKYSWOY3TbpJ+mykahgpkzJuqvBTaqh\n",
       "bFMwwexUwhhmJQEMk37ABDMzYdJPy1Rc/rgCErDV5CeYIdpqZcG0lGx19FGcVDGGEbONR5BRMF0B\n",
       "2BqlcqtlCvm07xbA7QPu7c0uRY5kScmGCLNlbl5Qb8F8HkVA4yusm5WoN9ytEeY4YC0UXiL/CLMd\n",
       "UrIpBdMNgksaH+u2lGw/o1Oyq6hZMBn026slwpxK90SYK2jMlQWtStZJP9BCgVK7RJh2HeZIw5Wy\n",
       "jt224HarYZ/jgSdp7Qgza0p2KfDxhO+7fZZsP/VJyU6KLauhm1Kyk/2rW8hyWUlHC2ajJ/10+yzZ\n",
       "kI7FL9MYlIOBw2vc56O0bITpelF7WEt6wZwKTEmYph6cgm68ccGQXz5PcoS5yr/PSzCn0jUpWSYj\n",
       "B6FbSJuS7ZpJPxlSsm4euDRGzmbJjvT0086SnYaMT7UMAY/RuhGmH78sONIL5hTUWeNtdAhwdOeN\n",
       "C8aj+ku6lnUiuUaYrtfv0yLMziSWknVngpudsF48wmwJp7XZKdmzgINSrGfXYVaVkmWaf1XLeCSY\n",
       "LRphDqdjIVuECaO9+iHgCTouJeu+BG7/hB+igjmE6i/p0py8U7KT0R3D2kAw3U/BzaxxI90qmMGO\n",
       "H0zyAzuik35aJlBKIZipH+0UJv1kEcw5QJJ3EccizOoEcyr1EcwmRpju38G9qsSPYcIP1EcwH6Nt\n",
       "Zsm6nVLe/WRzYKOE7+MRZqlx4LwFcyq6UcL4/O/u4jKcZ9cHHACsX+NOu00wIylZV0CzqZNmVLft\n",
       "pJ+0J7OKlCwz/asS0eswW6LisuOWgPtxDRuoNsKsJSUbxjCbmZLdBd2eLYlwSQlkS8nC6HoZh461\n",
       "RRr/PL4AAB28SURBVGbJukqOzi+BZSk2NBNIus1c9LKSCZROycYFs1K2YXJsmZUpyHF5gZHnIg+m\n",
       "Z1h3Mbr7TK238JsMTGjxZ87Wk+h1mJP95yQNaNtJP2kNbsaUrCtQujPHiV6H2cCG5U4EV8v1Y+VY\n",
       "DtQyY7UZKdkQdTUzJTsXZSKSqHdKNu4cNGnSj1sI/LXM70MogpubYmOzSDZI0Uk/YQyzUko2zZ1+\n",
       "Jvn1a4kwnyL9xLZ6kqXvB2elHoIJuR2rm+JvqN/IfUwDd2OJH6Mp2VDfpQQzp+swXcGn1yvuI03F\n",
       "pZ3BlXWW7CRkiNJEmPG7kjSKDwE71G9zruCNG+iJ9TPAVXtrsWoFc0KahlCCJqZkhz3uuZQWhmpS\n",
       "slP8f9KmZF8AnJ+MkhdLgFngSmVqQn3MK78Z14uiplIRZqNSsvdTvWBOQZcy5XX7xyg5C6YrIMF8\n",
       "mPzSsj8B9mnwPpYCW0RsX5ToLNlg+5udkp2BxlIrPtCinoKZddJPaGhZUrINjDDdGGABsF4dN7o3\n",
       "cJF/H05GmqggiXBbPEhVx24QpYyeJPEcup7RBtkNgvOXobh+oIAeztyMCHOc73ATKR9hVjOGeTej\n",
       "MychwowL5lr/yjPKXOiXC0r8Pi+2LMV01MeTjHr0xgXRST/1uA6zjGC68eBePfKJRu7V4MLEjyko\n",
       "wlxF60eYd1FbhDkOBQEryU8wNwY2SP7JvQ/cm+uwj0WxZZRwGRio7hyVI8xGC+bi2LIk9U7JZrnT\n",
       "zyzUUBIqy/0buHdHvoheh1mi4twYcJulLGsS89DJXOy395o6pGe3AEKZgnFL8Vgu95mEy23iqbG+\n",
       "CpHjVDTr8wmS07IHAD+LfbcjcJb3fCcgB+h5mjOGOYSE0mnpjgQXvyPKWEamZNNE71OBfzDaiRhH\n",
       "coQZxvlKCKb7IrjXpdhvWD/NRJYgmBuCOyfhPxHBdPPLbHMWut1dpQgzOoYZaXfDt2MMjlpMMN1E\n",
       "cLfE2uEk4D5KR5gXABcCh0S++wDwJv8+mpJt9QjzKmoTzMnIIX2aXATTjUeTLJeUWOFVwO5l/r8N\n",
       "uHel2NHC2DJK1JbPRX0xSTDzjDDLCfwImhlhzgRuIbnB7YomewTSRJh7A5ekLCvg/jsmiItjyy9R\n",
       "20X/IG9uBripSCifYlRU4CaC+0MxfeFmoOdebhHbVuTGBQWHjFiknt1+4KL/mYaiyycZdnrcXHDb\n",
       "+99XANvFxjM2RR13LvJC/0FzBXMuesbqXPQc0DfE1qk2JesF0w2B+1Bkf0kR5jrKj6EcAuyRYr+A\n",
       "eyPFjEPS70PgjkMd9yVgf+AoRjtZc9FM0nnAtcB2se18xZ/nmcCtqA3G+3rSdZjxCNJHnoWX/Of4\n",
       "71ugNrN95LsyEaYr+HXPQrN3A5v4FyiqfojWjzA3ou0Ec3hGbynB3Ni/SrE/6oeVWISefFMqwgzt\n",
       "bi4aq2/2pJ/FsWVJMkSYriCDW5JqUrJ3oenFESPlCmhWZHRmZIoIk92Qx50i5ekWACcDH4x8uRi4\n",
       "A1jPp4s2YcR4phtfeSxwlKe/MTK2GyKjdw2jjd8OwE7Aof7z1n65IrZeNMKE0fV8CvAucCeA+xEy\n",
       "4vEI8wTgq/79Fv7/SyPb2CSy3BYZ4+dpTko2COZtSLi2pVg3gTKC6aaA2zNhuyHCnAp8EjgN3GKS\n",
       "b9IQZpKWSMm62SiFX2oWb5wDgf3A7eXT3xuC21jOGwB7AWciY/wXvz6MfvZpEModUcSwY6RMPcCb\n",
       "tR9mAf9EbeV4cJH1mIMMdZj0kzSGGW9zccHcEmUA9oqM8U5mlGC63X3GZDESwssZFkw3EYlkaHvb\n",
       "o37SZMF082QH3NdGj1+7uajO/kh7CeZS4B4SBdMNoogw6RKkwNbAJn7dciwCbqK0YAZbPgcJZpKj\n",
       "Ek/JNnJIZBEK3uoaYb4BuLGMaIRJP2lTsjNRSvZRRlbYbDT2NhdcEISoN1wqwtwVRXBxbztpqviu\n",
       "wJ+A48CFMcvFqCMvRgbqaYYNkRuPOvFHSx+OOwH4WuRzATW+31IUzKsZLZg7oyjqOIpPeniK0eJQ\n",
       "RjDdOCSwB6D7pD4HfIaiYIa0+quALf0xb44aqxdm14OihZv9chtktNfQ3JTsQ8AjyJhvGYuU4inZ\n",
       "qLF/F/CrkWn64bvI3IMchmOB3wB7Un4Ms1SH3RG4EdgK3B7gYsbG7QnOZ0pcATkxHwVOQw7Or5C4\n",
       "nYQuI9nD72dnFL3MAB5ntGDORYI51x93dKLaxsj47kJx2GMl8EXgC5F6OAyl5ON3+skqmBcAbwOe\n",
       "ALcVoyJMtxGq4yNQnd/sXyHCXI7a4RI5OSxDxrYZKVkf6bgd0Tj3scjJ3D623i7o/DxCasF0h4AL\n",
       "fe0dfqywQYLplpVI0y8FLkVBQfz3DYC/AT1lhqKCbao09LUI+D3JAhRPyd4JTGL0ZTUZU7LuMHBf\n",
       "KvP7dEY8dMEVwAVHdxFwRYnyjiDLGOZbkTHZF100fQs4PxnD9SCjGrlxQfSEuEXgblfacJhoZ14S\n",
       "GbPbErgBRRbhxIyl7CxZN4g64zeAk8Fd5yOMY4CHVd4R7AacD5wK/MQ3kMXAdUiQXwP8GJiO7uRx\n",
       "Fuocx+pY3dvAHRXZfy/wYeDNkcY2GxnbP1AU8dtIFsx/Q9HStSjKOBdYAe61kei7hGC6DVE0cR2K\n",
       "kO4F3o2cjidQSnaa385WwA+AtyDj8ENgazTR53YklD+iNSLMDVGHegjNIrwSiUd0wkKJCNMVgKOB\n",
       "bwLnUrwgfRKKXB732z8HtYM9GDGG6Qo+8pmBnA+fknUFf+5DGXZBgvGyX55ZLJr7V7/ts70xWIbS\n",
       "VKehdvwh1NZOQlHg63w5LkOTra7yGzoXnaMCuE38sc1Dzkz4PSqYuwAXozY3j2IfW6XPbifkMD4G\n",
       "hdspn5JNI5hnANcD/wV8D7X7h319jfXfX4VSy1sgMbxf+3Q/QQ7edf67NwG3QOFFmhthvgXVxxdQ\n",
       "NuLg2Hq7omN6GhjL8Mx31wPuc4y60YbbBfgucDq4fZHd+SzqgzHBdIXRQYlbCu6TIyPdUrcUdcch\n",
       "4Ts0sr0tvY1cihy81Yy+YczGyAbcAXwIXOyY3UzUTi4G3gru3SVEGYqCuQLcpeBOjpQ9npJ9BInw\n",
       "eeCiwU6ZST/u0AT7+2ngRJJvswfqd6eD29Z/Phi4we9zMRLMxSX+O0yaGae7gTsXdcBTkHGfjir3\n",
       "V+AuRIb4yuJYh3tJB+DCY34OQmM3/wvuq0io90TG4VE09vg8uEtQJ7nJL98Pbi/gHcjbmwPsDe6P\n",
       "qBJvRBHtlig98juUZr1C5WEWGg+8ANw5FG8ivR8S1+tQw7kNcKhR34s6zH8gcfsFOnk7IPH7lspA\n",
       "AY0Zbo4ayBOokZwF7k5k2P+KGuCJwIPIMO4I7mxkIBzyXg9XGTnNl/99wDuRQX8S3M+R8/BE5Lys\n",
       "QiK9BzJsn/P7ehgKq8BdrP+yGo09bIAM21d8vd+KIuqfAMf4OpjsvzsROUq3IQPZjAjzNGS0TkGi\n",
       "eTPqQN8Hdwdqfzv5MoKM+Q7gPoZSfOtQHV4IfA/cTUhAHkf1AnKEHDrXE9AEmZeQEd8ZOB8KD4Bb\n",
       "i+q6D9X3J8H9FEVpeyCRegXYwPeHNf777VB7OQsZpF9q/Nm9CzlGL6Nz/SngvShV9iEU3f/Vl+1s\n",
       "1K4v88d7GRL7u1F7+C5wKLjTkLi/DrXt9YDXI+O8Ep3vK1A7Wwf8u6+DdSiL9CLy9r8A7ivIiG+O\n",
       "xC/wgurWnYna7XLgGijs743nEJrAE0Tgx8ipOQBF9fOAT/g6uBmlADfVd4wH3oOibnyZa3m+aTUs\n",
       "R+nxNyAb8APUF85B2a7HUPs4AHiTP46VwGfBvYjOyyIkKBeiyU/jUAT+BuDLwPf9/08F3o9sxtPA\n",
       "G3072wfYFtxVyGbMQ+3iZWBz3/Z3BHYG90uty4Xo3M9GYn4i8EUU8e/rtxFS799GbecHCmJ4CEWO\n",
       "G6Lz9Ywv79HgdkU2tAc5ztcjm/nfyH5tCS7YMefrsAf1k+v9Ni9D/eQgcC+gthYizMW+Th/y+/kJ\n",
       "uO/643iVryNQvz8Y3HzUno7X8bpDkR1YgkT3CuBr3kFdDpyH+uISZLNPQQ70vf7376O+uQQ5QPPB\n",
       "XQYcIp91NJVm7F1O2VlTRhdxBaknt9TM5Vi7M0Re7e5yrM0ZRfK0d4ZhGIZhGIZhGIZhGIZhGIZh\n",
       "GIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIaRFruXrJEWu5es0QzsXrJG\n",
       "M6iq3bnKqxhdQp5twdpdy+FW+Kfw5L7jDtuP0R4ktoc0z8M0Wg53EKUf8moYjaCfdI8DNIyOxQSz\n",
       "PXkvsKLZhTC6ij4qPvXeMDobE8z2ZAgzXka+9GERptHlmGC2J+Mw42XUjFsMbqOUK1tK1uh6TDDb\n",
       "k3FYhGnUzpuAt6Vc11KyRtdjgtmeWIRp1IMsImgRZm64XcF9r9mlMEZjgtmeWIRp1IMsgmljmPkx\n",
       "HbBZ8C2ICWbb4QqYYBr1YQzpRdBSsvlhdT2MOwTcps0uRcAEsyVwveAe9GJYiX503szbN2ola0q2\n",
       "N2UbNWrDBLPIocAOzS5EwASzNegH5gK9KdYd55fWoYxayZqShXRt1KiNfqx/B/r9qyUwwWwN+mLL\n",
       "cgTBtAjTqJWsEWb4j9FYLMIskqPz4OZUWsMEszWoRjCtQxm1Uk2EaY5a4zHBLJJnXdwGbqjcCiaY\n",
       "rUEWwQwn1AyXUStZJ/2E/xiNxQSzSE4RpisAk4Cx5dYywWwNLMI0moGlZFsTE8wiedVFH3rcZdl9\n",
       "mWC2Bv2xZTlsDNOoF5aSrRr3H5XSdzVgglkkrzHMEFmWtcEmmK2BRZhGMzDBrJ7jgXkN2rbdJKJI\n",
       "3oJpEWYbYLNkjWZgKdnq6QfGN2jbFmEW6SOfy0oG/NIizDbAIkyjGdikn+oxwcwHizCNUWQVTIcZ\n",
       "LqN2qokwrd2JfmBCg7Ztglkkr7qwMcw2Iuukn1VYhzJqp5oxTGt3ugShD4sw88AiTGMUWSPMZzBP\n",
       "36gdm/RTHaEuGiyYdt9ebJaskUDWGxdYhGnUA0vJVkeoi0YKJth9eyG/aDtM+rEIsw2oJsI0wTRq\n",
       "pZpJP9buioLZyDHM6LKbyevm6xZhthFZpuyHMUzz9I1asQizOvJIyUaX3Uzek34swmwDwklKO+nH\n",
       "IkyjHtgYZnXklZK1Pm5jmEYCNunHaAZZBfPFDOt3MiaYueB6kUbZGKYxAhvDNJpB1pTs85ijBo0f\n",
       "w7S7Kok8HQeLMNuILA1jEFiNGS6jdrJO+lmTYf1OxiLMfMjTcTDBbCOy3LhgLBLMbu9MRu34m3yn\n",
       "ut6vD0WY1u7yE8xud06yzO2oFZv000ZYhGk0gyyG2VKyRfqB57AIs9FYhGkkkqWDjAWeTbmuYZQj\n",
       "S7sLEaYJpozqk9h1mI0mT8G0ST9tRFbBtAjTqAdj0MzXtBHmGsyIQ1EwGxlhvoLVdd6Tfp7FIsy2\n",
       "oBrB7PbOZNROmMhjESaQ4d6teQjmc1gf7ye/S5lS2VUTzNagH1hHtkk/HWy4jMbjwn1K12KCGRio\n",
       "vAqgfvqMlq4R93u1CVYiT8dhLLqDmkWYbUDKDuIKqFPbGKZRK33ISVtHurbUDSnZsZVXAYqRT6Mm\n",
       "/phgijC5Ko9ZsgNYhNk2pO0gAygiWEdne/pG48kqmN0QYWYRzLXIcc1ZMN0UcD9rwD5bkSCYeaZk\n",
       "LcJsA9IK5ljgBdIbOcMoxRiKgmmXlYg2EExmAft2ybMy807JWoTZJqT1pMaitNhLdLbhMhpPhgjT\n",
       "FVB7s5SsCIK5mvwFczzKNM0Dd00D9t1KBCfNxjCNEQRPqlKufhCLMI360Iccr5eo3JbG+PU6fSig\n",
       "mgizEddilhPMIb/cDlhRfaTpJoNr9XMZqYeGR9QWYbYRWVOyaYycYZQjyxhmP9nSt+1KK6VkS0Xz\n",
       "QTC3RvZ7XJX7+F9g/yr/mxf9yN69AjRiNnKUASzCbBuqGcPsZMNlNJ4sghnW7XRHrZUEs1xKFmAr\n",
       "v5xY5T6m+VedcIsbkCIOjtpaapop68aA26bCShZhthEWYRp5k2XSTx8yWp0+dt4CY5iuByigfp5U\n",
       "1yHCXOGX1aaEJ1K92CYxB5hfx+1Bsd3VOgS1FXBuhXVslmwbkfZ6o0FgDRRe1kdn58+oFkvJjmYw\n",
       "5XpVjGG6V4PbPMWKlc5LEMxZflmt6E2gvuOvk2ooSwLuVGAP6iOYk1H5ymERZhuRNcIEm/hj/P/2\n",
       "zj3GiquO459heSywj8suu7Asj/DYQgHlZUtZoArahzVEtAY1tX9UookxUUM0JWIanzSiidr+UUPT\n",
       "NjbGGNGIxQc2LdlGTGP6iopFS7pYWrawy6vUare0/Pzjd87O3OHOnZm79869u3u+yWT27pw5c+Y3\n",
       "Z37f8/2dxwwPaQb9uJBsPqzySROSvR24OUG6YOMkKiT7RuD3cAiznAqzCZhaxoFE3aiKTjNXOApN\n",
       "KGkWgxslO4KQdL5RkDBHe3isCpCF1S5BhkirMF1I1kcpfZitwLQE6ZIozF7z9ysMLyRbToVpybdc\n",
       "eeaATgoqTFkCsjRFXs3AZJBi9dyu9DMSCVMaQabGpxs1cAqz6pA64HmQSi2oXWsoZdDPaA/JVrIP\n",
       "s4V4lQPJCPNF8/dRSlKJUmfyqQRhlku15oA2CtviDuDTKfJqDu1DkIlovb7ICA3Jfg34QrULkSGS\n",
       "Kkw7DxNGf2s/a+RQR1jGkYM1jbSDflxI1kcp8zDLqTCPm+MvUhpBWZIvZ0jWklE5CRPUzuFRsq3A\n",
       "9PzkcqPp9yxWtqgGSyv69ZnY0bi1SpgdZhsrsCtaxA36sSv9gFOY5cb00H60I43CtP1mo72RVumQ\n",
       "bDkUZgNwBPgq+sWUUlRiY2ifEuIV6Ku0RBk3uCZh/kO2KmSLQlNiVgLXRGQYozBpBc6S4Ms9tUqY\n",
       "bWYbKyglJFth5yWtIEcrl3/NoTW0H+1IQ5gzgNO4kKxFSsKUcWhItlwK8zx430dDwqUouuGGT98P\n",
       "7CtznkE04C9UUGiUbAGFSQfQHpFfATKXRpBjgfzOkuATi7Va+dsYW+qplEE/lVaYc4ElIJPAG6zg\n",
       "dWoFY5Ewk46SbQf6E6YdySilDzOJSmtGxUm5+jDtKNmLwMwEeYbRCJyn9D7MLmBR6H/NaP0oB2Hm\n",
       "8O8/ijDDxDaLaJHVDAj5CnM2sEiJ0ynMkYakCjPLPsxZZl/KCzkS4UKy0bAKM4OQrHSDrIpPVxFU\n",
       "KiTbgpJcORRmg7kuKGGmICi5E2SeOedkunPz0InvHyyagL5h5BnENPyRwFEh2fB7Ogtoj1hzthk4\n",
       "RX6DxZa/gxQK0xEmAHKDGSlVLaRRmFn1YXaE9qMdY01hphn0YxVmFiHZ7cBtFb5GFCpFmK0oAeQS\n",
       "LCKeRmGmDcl+DliPKsuTRCpMmQMyt0g+s4AWkKC9moCXSdSHKXENhxwwgKrgkMIUT69Nky4EIesD\n",
       "ZZpE4efRDLwUKlvQv41khSlT0ZdyeobffPspsDajaxVCmkE/WSvMcEtytKIVbYVmRJhSBxLV55IF\n",
       "SlWYlQ7JzjdbNVDKSj9JCbMPtV/cYulpQ7JJVxqaAswDFphz+jX/gnMTdwFfLpJZp9kHfUMzSpgx\n",
       "BC53AwMgy4skygEX8BtpQSJrNL/PAjuAewxPdABnKNyP2Qyc0L14ICvI92/lVJhpSUuSVrootKGO\n",
       "63+UZcRVHKQFNfLiCl9nMchvIw7W4jzMDvQFHysKczrwL7ILyW4FfpnRtQohDWG2k1lIlgVmqwbq\n",
       "VVnJkZh0afswrUO+AMyOmWMeN+e1SEhWPJBHQUJ+U74FbDI/FppzLvrll/WhRTvWUdwfdprzg4TZ\n",
       "hC6kECJMCeQjU4EvogLlo+Z/3wWZkX/OEGEO4CtMS2TWlmeBjehXW96L1s1eCkcmLWHmgOXAn809\n",
       "WP9WVoWZohUsU4A+kOGEU9tQQw2QTVh2cWhfKWwAbtJBNFegFgf9dKDD10cAYcq4UHioFLQCL5Bd\n",
       "SHY1sKqK6wGnGfQzg0xCsjIBdWTVUpj16Hcml/lOXBaAHAp12VjCHATGx6wgA/48v/PAj4FvFEk7\n",
       "nJDsPOAG/IXZMdM/dqDTUM6ghNmIEp4l3LsYWghAGoFlxBPmM/hKE/yQbJDAZ6OLgVgCX4Y2Sh8E\n",
       "PmJs+iVgcyj/aaitTqM2DtrCktsZtGH1c+DrqIKP4owm/JDsCtSGG1D/Vm6FyVUJ0lh0oyzeneKc\n",
       "MLImzCVoa6bShLkadTaFQhG1uHDBLPSlGAkh2TuBvcPMI2uFuRJVC9VSU2lW78kqJDsXdXxegn6u\n",
       "SqAe/7NZqwzZ7EMVV4CELGF6gqq9gGKUPSDh+YAt+ApzI/DBImUoQpgyDvUB/zX/CIdk1/h7+bax\n",
       "4RI0DNwN/AFfYb6OT7jX4ndJXQM8Dcw0AigEmWLK8HeGfIPUmWv0kR/27EY5xub9LnOeVXhbUFuu\n",
       "C13EKswdwH6iCfMS8BXgOuBVtFEXEnjSYM49hU+YoP74Ga4c9DO+WFQ1CWGmIZJN6ENcH5ewCKpB\n",
       "mL8j8j5lWZle3jXoyhyrCxyrxYULOvArVK3jE8CWBC39YmhFCTMrhbkCbeGuiEs4PEhdhAMIDvop\n",
       "YjepRx3kBSrfSJuPhtWOU52GhCXMY2a/GZ2OsBe4PpDOKkzI68eUHKqYdobybUcd8nnU3u1FBtWE\n",
       "plLkhVcnA4P+14p4DZgWUL/Wx9yG9kN+DCXA3wPvAI+j9bsdX2GuNsfeY4jvk8Bhk0+XvlN5IeRO\n",
       "lBhP4jemG40dLqAEvBl4FrjVXMMKKEOY3jvAI8A3UVtfF7KBIUzvBHhvGFu0mOhckDBfAO8V4CEK\n",
       "Kkz5DLp84EVTthz6vj1nElhBYPL0hJhGYQmEKVNBVke8hJuAe0lEmNJgHpD9PcG0oBISpnjJw3BS\n",
       "Z/oQC5XZEua8Kx2utAE9aBglKu9dIPcW7+uV8WhleYgrCHPIBoPkLzDsgWwI9QlnNOhHxqGq4lmq\n",
       "pjCThiqlCy3rcYYX2cgwJCvTUSezH1Wa4eNNIOui65TUgXxY0xW9ziS0NX93gYNJ+zDNCFlPqPwo\n",
       "2fnoc+ylOmHZevT9fNDsP4V+R/EJtJ/MIkiY5/Cf4RbgT8D7/L47mYYS16Oo034K+CPwcXPcM76p\n",
       "y+SxAVVDl4BbgF6Qq82xYDgW8P6DktsdIGtR4tmLksI/gW0oYT4GPIDWhZfMcaswPwAcQknoN8C7\n",
       "gT1o43Ex8BOgJ+AbF6Jk2YcfkrV9ojbEu93YZRtwP7AepBNfYQL8Glhqji8LdePZkKzFJZRX9qER\n",
       "oDOmvM+b4zvRkPMAQwpT5gO7UT/5mtly5v4eNueFFSbE9GPGDegRkH7gb8BlcyMLUef+MloBJpgt\n",
       "Z46vRB/KoSL5TkSd2yBqwEtoWOCi+d8DqOG34i80bJFDK04zOkfwKVR1jUPDAoPmpsVsE9Ew6ES0\n",
       "4/c0atQ3UVW3Fn05Dpp7umzSTkCNeQANoRwz5QxikrHHOfwHIyYPCaSrB+agFWk/6hC60Af2Nvoy\n",
       "TjH5HzTn2uUBB9FWUp0p6y3gPQlyAH+4f7kwBQ0fDaA2WYo+y4PgbSW+vpQLAvI4+hw9s81HncVJ\n",
       "k8ZDJ08vAr6H2mkb/vwtm4YivyejdegE2ipuQJ/hYwnziDtmIxP95NeHnPn9Q+Ae/BYvaL1fgb5b\n",
       "Z9BQUxhzTFnHoyo1CjPNtZcD/0CVhC3jItQB9aOq6FXUHn2hsjbptbw1IFehjaieIteE+HoSdXwR\n",
       "6sxywE3AHvAeTpBfOSAgb6B+YSPwJOpTutD3+d/4Pu1GYC54p0E2o/1of0EJ4S7Uf+w2/+sEngbv\n",
       "syA/Qn3Vz1DVdwT1H/WoL/kr2s+30uT1K7Sxswslh0uanxdQ37IOJcJT+B9xPgp8CPVdbwNbwTts\n",
       "0v8Afd5bUSV6M9qnuga4GrgevNdBdqOk/hbqA3IBe+xCGxGH9d7srAZuRX3aZXPuAfSZ9qLv52Qt\n",
       "n3fSiJ1+tM91p9n3ov55JbAdvEdMme9DIw4tanfuM7ZtBO8XAVvcDnzH2PFac19vAp83+T+Hvjdr\n",
       "0Xo811zPhJS9t0DO67W8cxSod3EVsYf8lpXD2MUT6Adds0APrt45KLKqdz24OufgI0t/5+Dg4ODg\n",
       "4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODgUEX8H/gHn7fDoPUbAAAAAElFTkSu\n",
       "QmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa744644110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (3600, 128), float64\n",
      "Testing data: (2400, 128), float64\n",
      "Training labels: (3600,), uint8\n",
      "Testing labels: (2400,), uint8\n",
      "Accuracy: 74.5 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (300, 1536), float64\n",
      "Testing data: (200, 1536), float64\n",
      "Training labels: (300,), uint8\n",
      "Testing labels: (200,), uint8\n",
      "Feature vectors accuracy: 62.5 %\n",
      "Clips accuracy: 68.0 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Data: (6000, 128), float64\n",
      "Labels: (6000,), uint8\n",
      "Ratio: 5400.0 training, 600.0 testing\n",
      "  75 (+/- 1.9) <- [77 74 78 74 71 78 74 75 76 75]\n",
      "  76 (+/- 1.0) <- [76 76 75 74 76 77 76 77 76 77]\n",
      "  77 (+/- 1.4) <- [76 76 76 78 77 78 78 76 77 73]\n",
      "  76 (+/- 1.3) <- [76 74 74 76 77 77 76 75 78 75]\n",
      "  76 (+/- 1.4) <- [77 76 74 76 74 76 79 77 76 75]\n",
      "  77 (+/- 1.0) <- [77 75 76 77 77 77 75 75 75 75]\n",
      "  76 (+/- 1.5) <- [75 75 77 78 75 72 77 75 76 77]\n",
      "  76 (+/- 1.6) <- [74 75 78 77 74 77 74 73 77 77]\n",
      "  76 (+/- 1.6) <- [75 79 77 77 75 73 75 76 74 76]\n",
      "  76 (+/- 1.1) <- [77 76 77 75 76 76 75 74 75 78]\n",
      "  77 (+/- 1.5) <- [77 76 77 76 80 76 76 74 76 75]\n",
      "  76 (+/- 1.5) <- [76 76 78 75 72 78 75 76 77 76]\n",
      "  76 (+/- 1.4) <- [76 74 74 75 77 78 76 75 75 74]\n",
      "  76 (+/- 1.7) <- [79 75 79 76 74 75 74 74 77 76]\n",
      "  77 (+/- 1.3) <- [74 75 76 76 75 77 79 76 76 77]\n",
      "  77 (+/- 1.6) <- [76 78 77 77 74 76 77 77 78 73]\n",
      "  76 (+/- 1.1) <- [76 76 74 74 75 76 77 76 77 75]\n",
      "  76 (+/- 0.9) <- [76 76 75 76 75 76 74 76 77 75]\n",
      "  76 (+/- 1.5) <- [75 75 78 73 77 75 76 74 73 76]\n",
      "  76 (+/- 1.0) <- [75 75 75 74 77 76 77 75 76 75]\n",
      "Accuracy: 76.2 (+/- 1.44)\n",
      "Mean time (20 cv): 21.35 seconds\n",
      "Overall time: 431.13 seconds\n",
      "\n",
      " -------------------- Graph, diag = True -------------------- \n",
      "\n",
      "Data: (149000, 96), float32\n",
      "Elapsed time: 221.81 seconds\n",
      "All self-referenced in the first column: True\n",
      "dist in [0.0, 1.50339663029]\n",
      "w in [0.0043141245842, 1.0]\n",
      "Ones on the diagonal: 149000 (over 149000)\n",
      "assert: True\n",
      "W in [0.0, 1.0]\n",
      "Datasets:\n",
      "  L_data    : (2359388,), float32\n",
      "  L_indices : (2359388,), int32\n",
      "  L_indptr  : (149001,) , int32\n",
      "  L_shape   : (2,)      , int64\n",
      "  W_data    : (2359388,), float32\n",
      "  W_indices : (2359388,), int32\n",
      "  W_indptr  : (149001,) , int32\n",
      "  W_shape   : (2,)      , int64\n",
      "Attributes:\n",
      "  K = 11\n",
      "  dm = euclidean\n",
      "  Csigma = 1\n",
      "  diag = True\n",
      "  laplacian = normalized\n",
      "Overall time: 232.15 seconds\n",
      "\n",
      " -------------------- Features, diag = True -------------------- \n",
      "\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Datasets:\n",
      "  Xa: (10, 100, 644, 2, 1024) , float32\n",
      "  Xs: (10, 100, 644, 2, 96)   , float32\n",
      "Full dataset:\n",
      "  size: N=1,288,000 x n=96 -> 123,648,000 floats\n",
      "  dim: 123,648 features per clip\n",
      "  shape: (10, 100, 644, 2, 96)\n",
      "<class 'h5py._hl.dataset.Dataset'>\n",
      "Reduced dataset:\n",
      "  size: N=149,000 x n=96 -> 14,304,000 floats\n",
      "  dim: 28,608 features per clip\n",
      "  shape: (5, 100, 149, 2, 96)\n",
      "<type 'numpy.ndarray'>\n",
      "Data: (149000, 96), float32\n",
      "Attributes:\n",
      "  K = 11\n",
      "  dm = euclidean\n",
      "  Csigma = 1\n",
      "  diag = True\n",
      "  laplacian = normalized\n",
      "Datasets:\n",
      "  L_data    : (2359388,), float32\n",
      "  L_indices : (2359388,), int32\n",
      "  L_indptr  : (149001,) , int32\n",
      "  L_shape   : (2,)      , int64\n",
      "  W_data    : (2359388,), float32\n",
      "  W_indices : (2359388,), int32\n",
      "  W_indptr  : (149001,) , int32\n",
      "  W_shape   : (2,)      , int64\n",
      "Size X: 13.6 M --> 54.6 MiB\n",
      "Size Z: 18.2 M --> 72.8 MiB\n",
      "Size D: 12.0 k --> 48.0 kiB\n",
      "Size E: 12.0 k --> 48.0 kiB\n",
      "Elapsed time: 2744 seconds\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfIAAAFRCAYAAACPGS+QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm4I1WdxvHv7W7obrppoNmb7bKILC4oKIIiBxkRRxYV\n",
       "3BFRR53RGZ0ZN0CQjMvIiOO4MDKOsiqbIoigIIgERRlBdkV2mqUbGpCt2bqBzvzxO0UqdZPc5Gb5\n",
       "nSTv53nyJFWpVL2p251T55yqUyAiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiU1QGPui07XFg\n",
       "BTCtwfsl4Af9CiMiaWn0wyAyjF4D/B54BPgrcCmwQ4ufrcRHilLNJSJ9MMM7gEifzAPOBT4C/AiY\n",
       "CewCLPMMFc0Anu3g82PdCjKkOt2/IklTjVxGxZZYzfX0+Pw0cCFwfXy/RG3z9DgTm7O3AP4APAr8\n",
       "FFijyfbKwFcaLJ+t+wPAncCvsML4MGAhsAQ4ETv4yPsgsAhYDHyyybZfhbU8PAxcA+xayPVF4HfA\n",
       "UuBnwFrAyTHn5cAmueX/K+Z5FLgO2LbBNucDx8d8DwFn5d77EHAL1gpyNrB+7r0V2MHVzTHv0XH+\n",
       "TKzlJL+9tYEnY16AveL3ezh+nxfnll0IfCZmXgpMBw7E9veDVPf17nH5MeBg4Nb4/ulM/Htln38A\n",
       "ODS3rWlx+lbgMeCPwIbxva2wf2d/BW4E3oaIiEzJqtgP9AnAnkwshI+geUFeBu4BtgFWAc6geb90\n",
       "s+WzdZ8AzAZmYYX6LfG9OcBPgJMKy58cl38RcD/VQqiUW/cG8XvuGaf/Jk6vmct1M7ApdqDw57jd\n",
       "12GF3YnAcXHZN2CFUnZA8UJgvQbf9+fAqcBqWA14lzj/dVjBtx2wMvAt4JLc51ZgBxPzgI3i93pD\n",
       "fO9Y4Eu5ZT8G/CK+fhl2gPEKrBA+ELgDWCm+vxC4Ku6PmdjfYSmwc1zmKGB5zAfwCezgZ0F8/3+A\n",
       "U+J74zHnd+O6XoIdCL4wvv9p7IDhBXH6xdiBzRzgbuB92L+j7eK+2HrC3hMRkZZshdUa7waewWqH\n",
       "68T3SjQvyC8G/j33/tZYs3yjZu1my2frHs+9fxHw97npLbGCZlpu+S1z7/8H8P062T9L9QAgcz5W\n",
       "0GW5Dsm99zWsEM7sBVwdX78OuAnYkeatd+sDz2GFeNGxwJG56TnY99o4Tq/ACtfM6fE7gB2o3Jp7\n",
       "73fAAfH1McAXCtu6keoBxB3AQbn3Po8dCGVmY3+PrCC/Ifc6+07F/b8g9/4fgLfH1zcBezPRO4Df\n",
       "FOZ9N2YR6Ro1rcsouRF4P1bzexH2w/yNNj5/d+71XVjNbW2s9rY0Pg6eZPm1Gry/PtZsm19+BrBu\n",
       "k/XlC5bMJljz7cO5x6uprUkvyb1+GqsF56fnxte/xpq6/zt+5rtYy0bRRlhz+qN13it+ryewZuYN\n",
       "cvPuy71+Mrf9Mtaa8UqsMH0p1Sb7TbDuhfz33JDafVLcv/fkpp+KOTLjcd3Zum7A+tXz+79Rzg2B\n",
       "25hoE+wgKJ/x3YV1inRMBbmMqpuwZuQXxeknsEIjU68JeePC62ewptK/xwq4VamtfdZb/sHcvPzZ\n",
       "5oupraFvjBUkSwrz8q8X1cl4F1Y7XyP3WBX4ap1lixnq+TZ2Zv82WIvAp+ssczfWlFyvRl78XnOw\n",
       "Zv562Yuew05MfFd8nIP9ncC+55ep/Z5zsRp9Jv/d7qXabw1WI18zN30X1S6X7LFK/Nxk7sbOnyi6\n",
       "C+tGKP4tPtbCOkVapoJcRsULgX+lWhPcCCscLovT1wCvjfNXo7b5GaxJ/ACsiXwVrFn3xzQuCNtd\n",
       "/lTgX7BCby7WLH8a1qSbOQwrgLbFmo1PZ6IfYs28e2B93rOAQG0NeKzB66IdsBrlSlgN9GmscC26\n",
       "FzgP+A6welz+tbnv9X6sNj0zfq//wwq5eop5TgHeidVkT8nN/x52APXK+Jk5wJuo1pKLzsD2y05Y\n",
       "X32psK3/idmyg6W1gX0arKvo+9gJhFvEdb4EO7A5Fzv4OQDbJythffpbtbhekZakVpCPYUfZ36La\n",
       "pyfSDUuxQukPwONYAX4d1bO/L8QKxuuAK7DaX77QrWB9zydgBdfKwMebbK+C1YwbLV8s0I+Ly/8G\n",
       "uB0rOP+psPwlWJ/xr7CTtX6Vey9b3z3AvthZ1PdjBeYnqS20it+rmCWbngf8L9ZsvhBrTTiqwfd9\n",
       "L9bicCPWipB914uAw7GT9xZjJ9m9s0GWenkux/5e62MHC5krsbPhj475bsF+MxodKN2A7c/TYo6l\n",
       "2P7JLj/8JnbS3QXYmeeXYQcJjXLmfR1rObgA6174HnYA9Th2QPVOrAXiXuxKhpWbrEtk4L0F++H7\n",
       "GrUnnogMmouxM9ElTXOxA49NJltQJHWp1ci3xM5M/RTwD85ZRDqlgVrSsjfWzTEHqyxcR+2JeCID\n",
       "qR8F+XFYU9v1hfl7Ys1wt1C93OQebBAIqO0bFBlEGjo1LftgTdyLgM2pbeIXkSZ2wQZvyBfk07G+\n",
       "vnHsBJBrsJOCZmMnjnwL1chFRESSMU5tQb4TNkhF5mBqr78VERGRFnjdNGUDagdruAc7o7hVi6g/\n",
       "GIaIiMgwuhYb5tfNOLU18v2wSzQyB2ADT7RKfY8TlbwDJKrkHSBRJe8ACSp5B0hUyTtAgkoO22xY\n",
       "7nmdtb4IG3gjsxG1wydK+8a9AyRq3DtAosa9AyRo3DtAosa9AyRo3DtAnldB/kfsTkHj2OAI78AG\n",
       "Y2hHCRuxSkREZFgFEmgVORUbSWkZ1i/+/jj/jdh417cycTjMyahpfaLgHSBRwTtAooJ3gAQF7wCJ\n",
       "Ct4BEhQctjl05d7QfSEREZEmkusjl+4L3gESFbwDJCp4B0hQ8A7Qhoeojkuvx3A9HqJNXpefdUMJ\n",
       "u19x2TWFiEj/rUH/hgAO6He2KNC7fVKseQcG6yCzZWpaF5FRpt/A4dXob6umdRERkWGkgnx4BO8A\n",
       "iQreARIVvAMkKHgHSFTwDpCg4B0gb5AL8hKJ7UwREemJE4AveodwEkjgOvJeUP+QiIyylH8D3wMs\n",
       "rfNYARw2xXUeD3yhxWXLwAenuB3wP2hQH7mIiLg6GVi18PgX4D5q77HRrlbP0vc+yJnuvP2B4f2H\n",
       "SlHwDpCo4B0gUcE7QIKCd4A29PM3MHT4+ZdhNfLXtvmZq4DHgNOwEUKzWvIawLnA/dg11+dgd9QE\n",
       "+DLwLPBU3Oa34vxvAncBj2JDhL+mwXY/DCzHRiJdCpwd5y8AfhK3eXtcX6YEnAH8IK7/g1irwJeA\n",
       "38X1/AxYCzvIeRS4HNikQYa2a+SDqoL6yIuCd4BEBe8AiQreARIUvAO0YVAK8tWB24BPF+YfjBXA\n",
       "9awM3Al8Aqvd7ocVrlnT+nzgLcAsYC7wI+Cs3OcvBj5QWOd7sAOAacC/AvfG7dRTbMafBlyJdQvM\n",
       "ADbFbvy1R3y/FPPtE6dnYQX5zXHZecCfgVuA18XvdCJwXIPt17uOvFRn/sAbui8kItKGFn4DK5XO\n",
       "Hx0Zw2qiZ022YMFrsYIy73c07iPfjtrR0C5m8j7yh4AXN3jveGr7yHfEDizyDqFaEJeYODjMxdTe\n",
       "Q+RrwM9z03sBVzfYfts18kEe2U1ERBoa69fIb418Ftga2L7Nzy1gYkF+J9U+8lWA/wLegNWywWrm\n",
       "Y1QLu2Kh9ymslr4gvjcPa+puxSbxcw/n5k0HfpObrncb7iW5109jzfL56bktbn9SOtlteATvAIkK\n",
       "3gESFbwDJCh4B0hUmOJnDgX2x/q523Ev1T7vzCZUC+dPAlsCrwRWA3bFCvGsoC8W4rtgTftvw5r6\n",
       "18D6qRsd6BQ/fxdwR/xc9tgHq1Vny0/WetHTVmQV5CIi0k3rYyeofQK4dgqf/z12wtrHgZWAtwKv\n",
       "yL0/FzuZ7VGsv/yIwueXAJvnpleN63sQ6xf/PFYjb2QJsFlu+nLshLXPALOx2vimwA7x/UYHBGMN\n",
       "XnedCvLhUfYOkKiyd4BElb0DJKjsHSBR5TaX/xCwDnbGePFa8u/EZQ4FftHg889ghfdBwF+Bt2Nn\n",
       "jGe+gRWoD2KF/nnU1ni/ibUEPBSXPT8+bgYWYgcBdzXJfyywDdaUfiZ2/fteWF/87cAD8TtmBwON\n",
       "auSVwuviMiN/rpfOWheRUTbyhcAQ01nrIyx4B0hU8A6QqOAdIEHBO0AbBuXys2EVerhujewmIiIi\n",
       "6VONXERGmX4Dh5dq5CIiIqNEBfnwCN4BEhW8AyQqeAdIUPAOkKjgHSBBwTtAngpyERER6TtdfiYi\n",
       "o0x95MNLl5+JiIwA/QYOL53sNsKCd4BEBe8AiQreARIUvAMkKngHaMEuwI193F7o47YmpYJcRES6\n",
       "6T1MHJp1KTbU6WE92uZvga26uL4yk98KVTqkZiURGWWD9hv4d8BiYN0erLvT23HXq9C2ck/zdtfZ\n",
       "qrab1gfV0H0hEZE2DNJv4MuwGvlr2/jMQuBg4M/YzU+OA2bG9wJ2/+/PYLc8PTHOuzv3+a2xWvXD\n",
       "wJ+AvXPvnQAcg9205XHgdYVtfxm7W9pTMfe34vytgAuxG7nciN0WtdE6d4/f4VPAdXE9x2IHMudh\n",
       "d267ELutapEK8hEWvAMkKngHSFTwDpCg4B2gDYMy1vrqwG3Y/cDzDgbOafK5hVgBuAF2/+9LgS/m\n",
       "8jwDfAW7zeksagvylYBb4zZmALth90TfMr5/AvAIsFOczg4Q8i4GPpCbnhPX/z6stv132F3Qtm6y\n",
       "zjuwu7OtDSzAbo96FfDS+P5F2C1Vi9ouyDttkhARkRSVulDYlzq6j/YYcBJWIB9VeO/IST5bAY4G\n",
       "FsXpLwPfBg6P0yuw+5A/Ex95r8IK3mwbFwPnAu8C/i3O+ylwWXy9rEn+zF5YwXxinL4Vu8Xp24Av\n",
       "NFnnt7ECH6wffwnVe7SfhdXcOzbIBXkJazopu6ZIR9k7QKLK3gESVfYOkKCyd4Cu6qwQzitP8XOf\n",
       "xWqs20/x8/mm8ruwWm3mAWB5g88tKHwW4M7c5ytY0/xk8gdCmwA7Yk31mRnYgUqzdS7JvX6qMP00\n",
       "MLeFHIFJWkUGvSAXEZH0BOBQ7LKwx6a4jo0Lrxfnppu1NiwGNsJq1Nlym9De5WnF9d8FXALs0cY6\n",
       "6pnKwVU5Po5otIAuPxsewTtAooJ3gEQF7wAJCt4BEhXaXH594DTgE1Sbkds1BnwU6yOfD3wurrMV\n",
       "fwCexE6GWwnLv1fu860UpkuAzXPT52J97AfEde4OvILqJW/dav2YEhXkIiLSTR8C1sHO9i5eS/6d\n",
       "uMyh2BnejVSAU4ALsJPlbgG+VHi/3mfAmtz3Bt6INcEfDbwXuDm33GTnD3wT2B87Y/4b2JnoewDv\n",
       "xPrtz8ROtlu5jXUWc7f6maFVgcpG3iFERJwMewFwBxMvCxsVIzVE61e8A4iIiHgb5IL8DVDZfPLF\n",
       "RkbwDpCo4B0gUcE7QIKCd4BEBe8ACQreAfIGuSD/H+CT3iFERKTrNgV+7R1CeqsClfWh8hBUVvMO\n",
       "IyLSZ8PeRz7KRqmPfOxe4JfAQc5BREREpE3xyKTyaqjcDJUBPiDpmuAdIFHBO0CigneABAXvAG0Y\n",
       "lLHWh1Xo4bpHqUYO2ID0TwCv9w4iIiIircsdmVQ+CJVmd9ERERk26iMfXiN1G9MSEKAyGyoPQGUz\n",
       "30giIn0zdD/qLSgBP/AO0QfFv23AvvvQ/c0LX6jyVah80ydKMoJ3gEQF7wCJCt4BEhS8A7Qh9T7y\n",
       "hdh4549hdwz7HfAROhuT/AhaL8hPoHr/8qkoTbKt0MG6JzNyfeSZrwPvhMqO3kFERIQKdqOSedid\n",
       "y47Ebmt6rGeoPpruHWAQ1DkyqewNlXvXZ9EbKrW3vxMRGTapN7PWGyv9FcBzwLYtrmNT7Nahj2E3\n",
       "T/k2tbXkHwP3Ao/E5baJ8z+M3ThlGXajlrPj/IOBW+P6/gy8ucF294yfXR4/f3Wcvxp2ILIYu/f4\n",
       "F6lWhg/CWh2+DjwY3zseu0nML+J6fgush92Q5WHgL8B2dbY/Un3k9WbvuTOXLr6PdRb2NY2ISH+l\n",
       "/qPe6KYnd2JN7ADvpvltTi8DvobdNjS7r/lJufcPAubE9/+LaoELVoh+obC+/bGCFODt2B3N1qO+\n",
       "IwrbAjgLOAaYDayN3S71w7kszwAfwwr3WVjz/gPAy4CZwEVYl8MBWBfDF6k/et2oF+RwK5uNP2eD\n",
       "xYya4B0gUcE7QKKCd4AEBe8AbZj0R70ClU4fcVVhCvkaFeSXAYe08PmNsYJxdm7eyTTut14dWAGs\n",
       "GqePZ/I+8quBfRq8Vypsa13gaayABtsn76JaEB+EHaTkHQ98Nzf9j1hLQObFWM28qO2CfEajNwbV\n",
       "5ty+GFirAtPHrBlHRGTkjHV2YlmvbIDd43syC7BC7qncvDuB7PbV04EvY7XstbFCHGAtrBm7ngOB\n",
       "fwHG4/RcYM0Wc2+C1fyzSuKMuM27csvcXedz9+deP12Yfipm6NiwnOz2vDHr13gEeGMFNrqI3TZ7\n",
       "Nz9cEyop/qPuprJ3gESVvQMkquwdIEFl7wCJKndpPa/ACvJLW1j2XmANYJXcvE2o1krfjdWmd8f6\n",
       "rjeN87Pf+WLtdRPgf7Gm7/lx3X+i8cHOisL03Vi/+Zrxs6vG7b44t4xb0/fQ1cijfwEOBzZ4Ff83\n",
       "p0QpNs9UHsD6LFp5PAJjQ9cnISLSJ1khOQ94LfANrLn6zw0/UXUn8Efg34BDgR2xs+CzE9fmYgXr\n",
       "Q1g/+b8XPr8EyI8tMgcraB/EKrAHAi9qsv0l2IihY/Fz92In3H0dK1uewA4eNgB+02Adfas8DmVB\n",
       "PgY/xB5Y68WuQGUO1gRT77FFfF4rN282VP6KNYW0UvA/BGPFo7h+CqhGUU9A+6WegPZLUUD7pJ7A\n",
       "1PbLOcCzWO32z8B/YrefzrwH6y9vVKC+GzgRK6wvi69Xj++dBLwBWAT8Ffg81ZPowM4u/zHWPH8x\n",
       "8Na4/ctinpNo3jLwY+yktL8CtwM7YIX/kcANWK385jgNVtgXK37FeY2W6digNjdX6Hn2ykxqC/bJ\n",
       "HvOwsyqfzD2eKkxn85ZjJ3IUn5u9fi4+VhSe4+u/eyl8/4/132s4r9LgsaLJe3WWG3t26vu55wL6\n",
       "ca4noP1SFBicfdKH38DnBQZnv/RLoHf7pNHftuHfXAV511RmYEeLs7F+nexRnF4FWBk7cSJ7buX1\n",
       "dKxJKP/c6rx6703H9mGjx7RJ3h8Dxr7MoY8dyle2H7PLKkSkPxL8DZQuabsgH1Tqu05EBU6twPu9\n",
       "c4iMGP0GDi9dRz7CgsdGK/DeClxeqb3eE6jsDJVNErhaIDhvP1XBO0CCgneANqQ+1vqwCz1ct64j\n",
       "l777IXYJyN0VuA07k3TFT9hvwf78ZC6wClTKwLnAzxnNwXpERHrGu7ZUFLDReP4EnIaNn1vP0PUV\n",
       "DLqKXYaxMdX+/MfH4AqorINdxrEXNobx7cDPsfGHr4AxDdoj0j79Bg6vtvvIU6uRr8BG5ZmJDUov\n",
       "A2LMLgNZVOed+7GhFU+GykrAzsDfAt8H1ofK5cD/AVcANwJ3qnAXEWldakd02cX362AX3h/QYDkd\n",
       "jU4UGLhLRCrrYwM97Ihdp7klNqbxQmxAiHsLj8U8f80+j7R42Vtg4PZLXwS0X4oCg7NPHsKuZZbh\n",
       "8zA2+lyRa438OOBN2MAq+eHs9sRG+pmO1c7+g2pn/iNYrVyG2ti9wE/jI6rMxkZk2hhYPz62xEb1\n",
       "WR+7tn8+sDpUHsd+0IqPR7GWncfhyAVwcDb+cpz3/OsngGXOA/mITEW9H/peCQzOAU6/BBLaJ/2o\n",
       "1e6C/XieRLUgnw7cBPwN1hx7BXYnma2w0XpWx+7j2mjoO9XIR15lGjbW8fzCY01scJ5Vc4+5hens\n",
       "MRs7YHwGO0nv6Uke2eA8z9Z51Jufn5cfgGdFndf15rX6Oj9iVHEkqfzzXTDW7LaRIpIu1xr5b6ne\n",
       "bSbzSuwG7wvj9GnAvthwd2f1IZMMvLEVWBPUw9jZ8lNUGcMG3ZnV5DETK/RXwv7P5B/15mXzZxbm\n",
       "1RtwZ1qdeVN5DbX/yevNu4Dm938WkQHkdbLbBtTe8u0erJ+0HSdQPRB4BLiGalNHiM+jNL0d1lWR\n",
       "Sp5UprPXDd4fqwA7tbC+5X3K25PpzWGVW+0AemzMuim2g8rTwJvh9Bmw7DE48GpgMXx6TVj0IJxy\n",
       "NnYPgV298/dpOpuXSp5Upv8Z/b4Wp/vxe5u9HmcS/WqeHscG0M+a1vfD+sg/FKcPwAryf2pxfWpa\n",
       "nyiQUJ9NQgLaL1Ss9n49cAxwzBjsApU7se6sNbFuiXWx+0BvkHuejZ1kuBjrBiu+zm5a8SR2vsEg\n",
       "D9YU0L+VegLaL0WB/u+T5C4/W0T1BvHE17rcrDNl7wCJKnsHSMEYrKjYHaBOBv6zYmf9PwfsOFbb\n",
       "OlZQWQUr1IsF/PbxeQOq941eCSrFmwQtw1ozGj0avZ+/UdBUH89O8n7xPIMHgW2ZeO5BuzcXehLG\n",
       "Hmny5xg0Ze8ACSp7B8jzKsj/CLwAq6kvBt6BnezWjhK2M8vdiyUyvMbsBNMd4nC6q2G19Psn+dST\n",
       "2Pkst06+hcoMJt4kaOU6j5kN5ucfc6je3GeqjxmTvJ8/x2Cqj3rr+CnwD7n9sjPwKuwqiSdzz49j\n",
       "d0xcWn0eWz75fpYRE6htbp+gH83Tp2J9cmtiPxqfB44H3kj18rNjga+0sU41rU8U0EFNPQHtl3oC\n",
       "2i9FgZ7sk8ru2MiG2cHNnNxjHtWrLOZhLQWFwp3H4uMpGl8hkT26cRVE4fW/vxAO/UsH63l+RzR5\n",
       "vhXGbs8tOpZ4N01gxJrWG9W0z4sPEZGhULEf2gOA08aswAXGLgIuauHTY9hVElmhni/gV8UOAupd\n",
       "IZE9ZlP/aogOr4jYbH1sXId2Pzst9+WKV1EUn0/Ahm/O7A2Vs6h2vdR7zh5PF6brzVtO8+6QyeZT\n",
       "+3zUlvDpF9R/7/nndt87F8Yeq+6Cyo657U9rVncd1FptBfg31LQuIgmpWC37R9iVEDdgTejLgY+N\n",
       "2WiF0pLKGNZam++KyT/nH7NamLcyzbtDGs3PDkbqHYA0OziZynufpOamUpXfA8/Az1aHi9eCbyyg\n",
       "QZk9yAX5oGYXkSFXgfWwEQmzAqU8Zs3kUlCxAnulMatFS2NDV+6l3HfiJXgHSFTwDpCo4B0gQcE7\n",
       "QKJCL1dega0q8GQFbqjAZRW4qAIXVmC3Xm63Q8Fhmw3LvVb7yMeBLYBfUe2neazZB0RERCYzBjdW\n",
       "bByDLakOnTwNuxviSKjAR4H3YmMyLMP6xp/CWnOehuZV8Vaq6R/GBm6ZD2yO7exjgN2nnLpz6iMX\n",
       "EZGhULEbQm2GlbMrYwcyK4AZJdiqDNteAm+jg6b1a7Gjgqtz866f6sq6RE3rIiIyShqWe9MavZGT\n",
       "nb6fmdFsheImeAdIVPAOkKjgHSBBwTtAooJ3gAQF7wB5rRTklwCfw/rGXw/8GBs3XURERJy10t4+\n",
       "HfggsEec/iXwfXxr5UN3Gr6IiEgTQ1fuVbCx1oNvDBERkZ4KWHnXsPLcSul+R515FewMOy9Dd2TS\n",
       "BQGdwV9PQPulnoD2S1EgtX1SYho2Wtxq2FCt2XN+pLJmI5N1wgqOMtsQuKHtz7XnT5T4y/NTJRYA\n",
       "uzBxxLZsZLdZ2GVqs1p8PbOwvbEGr5t9l+pwqrexEpuzvOkyrb+XPe9GKTdMrb3OtjGHEhs2ytrK\n",
       "deSvyL2eBeyP3QBFRKQzJcaojhWev2NZcczwVp7bWTZTHSbzHLZlb5ZT/0e+0Q9/vffvp5Qr+EqM\n",
       "Y5ft5u8Ml90wpVhAF59Xxa4nfhQbu+NRbIS4ZbQ2VvhUu0Cr32dt1ga2aftz7alAriC32+Pux8Qx\n",
       "1LNx1h8B7sP2zdPxkX9dnM72V3Gb9V7X+y61f+df82o25/dNl2ntvfwyiwvb362Qq+EQv1Pd6VcB\n",
       "L5/iZ7tBNXKRfrICdy1gK2BTYG1gnfi8OtVCKnueycSbekyvMz2N6n3D83fwyh6VFp/bWbZYwDWr\n",
       "PU3l/Yso8cXcvjsQG+wjfwvTJ6ne1ezRJs9LKfEcIk3KvVYKw+2p/gOdBuyA3Wv3pV2JNjUqyEV6\n",
       "ocRMrNtsS+CFWMG9VXydjbZ1O3ZL4uzxKNXC6UmsJrSM2ttt5gvq/PQKSrqcVaQFHRXkZaoF+bPA\n",
       "QuBrwE1dCDZVKsgnCqTWv5eGAJQpPX+bx5WpvZNSs+mVqNYcW3nkl82acWHiHY/qTbfyut579TSq\n",
       "Of6eEqc8v19KzAP2xUaTWhNrztwAuAu4BSu0b4rPNwIPDHmhG9D/oXoC2i9FgQG7H3noapTuKaEh\n",
       "WoebNefOAxYAa8TH6rnHGlgf4pz4WCX32qZvZzU2YyZWuGY1xeXU3tu40XRWo3yuxUe27DNMbMKt\n",
       "97rZe+18Jq/ZSTz3FaYfBC4DHsLGeL4PuJ1Sdh9tEUlAYJJyuNlR/Sfjc/HHYizO+/pUU3WBauTD\n",
       "psRa2Mkd22HdNpvD82dpLsIKm0eAhwvPj1Htd3yi8Do/b/mQ1yZFZLhNqUa+Ko2P+PWDKJ0rsTrw\n",
       "HuxEoK2B3wJ/BI7FmnbvBh5TASwiMnz0wz5R8A7QshLzKfFVSjxMidMpsQclVu7R1kKP1jvogneA\n",
       "BAXvAIkK3gESFBy22dH9yGdjQ7RuE19nK/tA57lkpJSYDXwc+BRwJvAiSizyDSUiMtha6Wc+A7tQ\n",
       "/z3YPcAPiNMf72GuyaiPfJBYbfvvgEOB/wM+R8n1qgcRkUHT0VnrW2Cjue0LnAicAlzatWhTV0Jn\n",
       "rXemNGFYx3qvi8M+UpheQYmH6qx7PjYGwe5YH/h1wL6UuLJ3X0hEZOgEJmnKb6Ugz8Z6fRR4MXaJ\n",
       "ytqdpOqSkuOWx7BuhlWBufE5e8yJ72Vj/Oaf86+LI19Nb/B6svdsaMrbWYnNWEH7hXK9IR7rjYLV\n",
       "6PKnu4CX1dlLv8bOKr8MeAMl/tTazu26gA726glovxQFtE/qCWi/FAX6t0/K8XFEowVaKci/hw0Y\n",
       "cRjwM6zgOrzzbImoFsrzGzzWBtbFhqPMntfGrhdeCjwen7PHE9j1ytk4v9nrh7GxdLN52chXjUa8\n",
       "qjdd7z2/QatMAAAbOklEQVQbnvI8duJjXEprhbK97u3Z4C/T2eYiIr3XSj/zDKzQSEnjPvIS78BG\n",
       "oPp1nH41cBATBwyZR7WwBhsQ4yGswH0o9/p+YEl8ZK8foMSyrn8rERGR+jrqI78dOB84HWsuTbeW\n",
       "VWI68GXgwNzch4ErqB0c5Ams9myFd4mn+pxURESkb+YA7wDOwm6jdjR2n1hP9Q8mSuxDictjc/mo\n",
       "Cd4BEhW8AyQqeAdIUPAOkKjgHSBBwWGbDSvR0xq9kfMEVht/CzZ85mqke+LDQcAx6psVEZFR0WrN\n",
       "NWC18j2xZurTgZ/0KFMrJvYV2N2tHgC2pjTh5hAiIiKDrKM+8oXANVjh/WnsLO0UbQ/crUJcRERG\n",
       "SStN6y8F3gycSlqFeInafoqdsZtujKrgHSBRwTtAooJ3gAQF7wCJCt4BEhT6vK1SswVaKcgf7UaS\n",
       "HihR21f/CqzZX0REZFiU8RwArYcmnsxW4hZKbOuQRUREpNc6Oms9fSXmABsAN3pHERER6adWCvJZ\n",
       "2J3PPoeN9XoE8PlehpqCFwC3UeI57yCOgneARAXvAIkK3gESFLwDJCp4B0hQ8A6Q18pZ62djN7+4\n",
       "EhsnPEVbAjd7hxAREUmR112rmqntKyhxGCW+4pRFRESk1zrqI/898JLuZekJ1chFRGQktVKQ74I1\n",
       "q98MXB8f1/Uy1BS8ABXkwTtAooJ3gEQF7wAJCt4BEhW8AyQoeAfIa6WP/I3xOavWp3hDki2BW7xD\n",
       "iIiI9FurhfJ2WM28go2edm3PErWmOuZsiTWwu7KtppuliIjIkGo41norTeufAH4IrA2sG19/vGvR\n",
       "OrchNsa6CnEREZE6rsfuSZ6ZE+d5qpCNtV5iT0r80jlPCoJ3gEQF7wCJCt4BEhS8AyQqeAdIUOjz\n",
       "tkp0YWS3FQ1eeyphY9BuCNzjmkRERKQ3ykwy1norJ7sdD/wBOBNrn38zcFyHwbppQ2CRd4gElL0D\n",
       "JKrsHSBRZe8ACSp7B0hU2TtAgsreAfJaKci/DlwCvAar2h8EXN3DTO3aELjcO4SIiIiHZk3r8+Lz\n",
       "fOAO7CS3k7EzxOf3OFc7VCM3wTtAooJ3gEQF7wAJCt4BEhW8AyQoeAfIa1YjPxV4E3AV9TvZN+1J\n",
       "ovatB9zrHUJERERaVz2wKLGYEhs4ZhEREem1js5av6jFef1XYhp2ffsD3lFEREQ8NCvIZwNrYgXl\n",
       "/NxjHJKpAc8HllJiuXeQBATvAIkK3gESFbwDJCh4B0hU8A6QoOAdIK9ZH/lHsFHdFmA3TcksBY7u\n",
       "Zag2rAss8Q4hIiKSsn/yDlCH9RWU2I1SWtfziYiI9EBHfeQVYI3c9BrARztN1CXrAvd7hxAREfHS\n",
       "SkH+IeDh3PTDwId7E6dt66CCPBO8AyQqeAdIVPAOkKDgHSBRwTtAgoJ3gLxWCvJpheWmAyv1Jk7b\n",
       "5gMPeYcQERHx0soQrb8ETgO+i421/hHg/F6GasMawELvEIkoewdIVNk7QKLK3gESVPYOkKiyd4AE\n",
       "lb0D5LVSkH8Wa0r/hzh9IfD9niVqzxqkNe67iIjIyJsDXIEND9tIdtb6zyixbz9CDYDgHSBRwTtA\n",
       "ooJ3gAQF7wCJCt4BEhQcttnwrPVWauSvAY7ABoLJlq8Am3Ucq77PAKe3uOwa1J6IJyIiMlJaKciP\n",
       "Bf4Zu3nKc72Nw+uBG4BZLS6vgryq7B0gUWXvAIkqewdIUNk7QKLK3gESVPYOkNfKWeuPAOdhI6g9\n",
       "mHu06rj42esL8/cEbgRuwfrhAXYFXgW8G7vsbWySdasgFxERmcSRwFHATsDLc49W7QK8jNqCfDpw\n",
       "K9ZcvxJwDbB17v33AX/bZJ1ZH/mTlJjbRpZhFrwDJCp4B0hU8A6QoOAdIFHBO0CCgsM2O+ojf1Vc\n",
       "wQ6F+bu1uPHfYgV23iuxgnxhnD4N2Bf4S5w+cdK1jnESFzOTS/gU1mpwDdXmjhCfR2l6u8TyaDrt\n",
       "af17mTjNJO+P6vR2ieVJYbof/3+y1+MkYpzaGvn+wPdy0wcA325jfRVKrEdJo7qJiMhI6KhGfkRc\n",
       "wVhhRV/oRaA2rAY82oX1iIiIDKxWTnZ7Ij4eB1ZgfdfjHW53EbBRbnoj4J621vDffJKbu3JAMCyC\n",
       "d4BEBe8AiQreARIUvAMkKngHSFDo87ZK3V7pTOCSNj8zTm3T+gzgtjh/ZSae7DaZCiUCpbZzDLPg\n",
       "HSBRwTtAooJ3gAQF7wCJCt4BEhQcttnViut87ES1Vp0KLAaWAXcD74/z3wjcFNd1SJsZKpTYmxLn\n",
       "tvk5ERGRQdRRH3m+Jj0Nu3VoO/3j72ow/7z4mKpVseZ+ERERqWPT+LwJ1gQ+DmxIGrcwrbAF5/BW\n",
       "1chzgneARAXvAIkK3gESFLwDJCp4B0hQ6PO2SjSpkTc72e2M+Hwcdr33QuyEtGe6kaxjB1DmJdzs\n",
       "HUNERKSHykxysluzpvXpwOeAFwL/Su1wqRXg651l69iqwFLnDCkpewdIVNk7QKLK3gESVPYOkKiy\n",
       "d4AElb0D5DWrkb8Tu0nKdKzQnJt7rNr7aJNSH7mIiEgLmo157qXCdlzJHu6tAikJ3gESFbwDJCp4\n",
       "B0hQ8A6QqOAdIEGhz9sqMcU+8swvuhSmu97MTezMld4xREREeqjMJH3krRTkqVIfea2yd4BElb0D\n",
       "JKrsHSBBZe8AiSp7B0hQ2TtA3qAX5OojFxGRkdZKQT4HOJzq3cpeAOzVs0StU428VvAOkKjgHSBR\n",
       "wTtAgoJ3gEQF7wAJCt4B8lopyI8HlgM7x+nFwJd7lqhVF7AxP2Ib7xgiIiI9FOjCTVOyE8quzs27\n",
       "ttOVdqhCiYWUnh99TkREZJh1dNb6MmB2bnrzOM/bbOAp7xAiIiKeWinIS8D52DjrpwC/Bj7bw0yt\n",
       "UkFeK3gHSFTwDpCo4B0gQcE7QKKCd4AEBe8Aea3c/ewC4CrgVXH6E8ADPUvUulnA094hREREUncO\n",
       "8G7s7PVUVNiVCmNpHRWJiIh0WWCSkd1aXckxwJ3YHdH2x2rDniqUeMI5g4iISL90VJBnZgCvB34E\n",
       "PNaNFXagQokHnTOkJngHSFTwDpCo4B0gQcE7QKKCd4AEBYdtNizIW+kjBzuxbB/g7cDLgRO7EKpT\n",
       "OtFNRESkBT/CmtW/C+yG3dbUW4USt3iHEBER6ZOOauTHAu/C7k2eEtXIRURk5DW7jnz3+DwX2Bd4\n",
       "a3zsF5+9qSCvFbwDJCp4B0hU8A6QoOAdIFHBO0CCgneAvGY18tcCFwF7U79Kf2ZPErXqF6yL7cyy\n",
       "aw4REZHeCXThwGGzFuf1U4US5ztnEBER6ZeOxlo/o868H089S9eoaV1EREZes4J8a6w/fHVq+8YP\n",
       "wn9AGFBBXhS8AyQqeAdIVPAOkKDgHSBRwTtAgoJ3gLxmfeRbYv3jq8XnzFLgQ70M1SIV5CIiIi3Y\n",
       "yTtAHRVKHO0dQkREpE866iP/B6x5PbMGcFynibpAdz4TEZGR10pB/hLgkdz0w9gwrd7UtF4reAdI\n",
       "VPAOkKjgHSBBwTtAooJ3gAQF7wB5rRTkY8D83PR80himVTVyERGRFhwI3AR8EfhSfH2gayKo8EIu\n",
       "ILGjIhERkS4LdOF+5ADbAv8YH9t0urIuqFDi494hRERE+qSjk93AmtOfAI4GHgA27UKoTi33DpCY\n",
       "4B0gUcE7QKKCd4AEBe8AiQreARIUvAPktVKQl4DPAIfE6ZWBH/YqUBtUkIuIiLTgWqzAvzo37zqn\n",
       "LJkKJd7jnEFERKRfOmpaXwasyE3P6ThOd6hGLiIiI6+VgvzHwHexQWE+jN3a9Pu9DNUiFeS1gneA\n",
       "RAXvAIkK3gESFLwDJCp4B0hQ8A6Q12ys9cxRwB7YGOtbAocDF/YyVItUkIuIiAyoCiV29w4hIiLS\n",
       "J1PqI/9dfH4cq43nH48BC4GPdSfflKhGLiIi0oE1sVHePFQosaPTtlMVvAMkKngHSFTwDpCg4B0g\n",
       "UcE7QIKCwzYb1shb6SMHu0nKLtjZ678DrgL+CuzWcbSpW+a4bRERkYHxeeB64N+AL2DXlR/umggq\n",
       "zOe/0ZGiiIgMt0AXxlq/GZiVm54d53mqUOIFzhlERET6paMBYRZhhXdmFnBPp4m6QCe71QreARIV\n",
       "vAMkKngHSFDwDpCo4B0gQcE7QF6zPvJvx+dHgT8DF8Tp1wOX9zJUi571DiAiIuJtrMl7B2FV+WyZ\n",
       "4usTexdrUhVKrEeJJY4ZRERE+iVfBtdoViM/IT7PBraIK7kVeLqbyTrwjHcAERERb836yFcCvgrc\n",
       "jdW+T8L6xo+K73lT03qt4B0gUcE7QKKCd4AEBe8AiQreARIUvAPkNSvIjwLmA5ti15G/HNgMu3nK\n",
       "13ofbVIqyEVERJq4lfoF/fT4nqcKpSRaBURERPphSpefraD2PuSZ5xrM77fnvAOIiIik7GzgfXXm\n",
       "vxf4WZ+zFHU0ws2QCt4BEhW8AyQqeAdIUPAOkKjgHSBBwWGbUxpr/WPAmcAHgCvjvO2BVYC3dC2a\n",
       "iIiITFmz68iz918HbIsdDdwAXNTrUC1oeD2diIjIEBq6ck9N6yIiMko6GmtdBkPwDpCo4B0gUcE7\n",
       "QIKCd4BEBe8ACQreAfJSK8i3Ao4BfgR80DmLiIiITNE0rDBvRE3rIiIySgaq3NsbOA94a5NlBuoL\n",
       "iYiIdMi13DsOWAJcX5i/J3AjcAvw2TqfO7vJOlWQTxS8AyQqeAdIVPAOkKDgHSBRwTtAgoLDNqd0\n",
       "HXm3HI/d2/yk3LzpwNHA3wCLgCuwQWbWwWris4CL+5BNREREWjBObY18J+D83PTB8dEq1chFRGSU\n",
       "uNbI69kAuz1q5h5gxzbXcQKwML5+BLgGKMfpEJ81rWlNa1rTmh7E6ez1OIkYp7ZGvh/wvdz0AVjz\n",
       "e6tUI58oeAdIVPAOkKjgHSBBwTtAooJ3gAQFh20mNyDMImCj3PRGWK1cREREEjRObY18BnBbnL8y\n",
       "1iy+dRvrqwAldKQoIiLDLWDlnWtL9KnAYmAZ1i/+/jj/jcBNwK3AIW2uU03rIiIySoau3Bu6L9QF\n",
       "wTtAooJ3gEQF7wAJCt4BEhW8AyQoOGwzuT5yERERGWHqIxcRkVEQSKCPvBeG7guJiIg0oab1ERC8\n",
       "AyQqeAdIVPAOkKDgHSBRwTtAgoJ3gDwV5CIiItJ36iMXEZFREFAfuYiIyMBTH/kICN4BEhW8AyQq\n",
       "eAdIUPAOkKjgHSBBwTtAngpyERER6Ts1rYuIyCgZyqb1Eok1b4iIiHRZwMq7oaMa+UTBO0CigneA\n",
       "RAXvAAkK3gESFbwDJCg4bHMoa+QiIiIyoFQjFxGRUaIauYiIyDAa5IK8hPpu8oJ3gEQF7wCJCt4B\n",
       "EhS8AyQqeAdIUOjztkrNFpjRlxi9UfIOICIi0mPl+DjCN0b3qY9cRERGifrIRUREhpEK8uERvAMk\n",
       "KngHSFTwDpCg4B0gUcE7QIKCd4A8FeQiIiLSd+ojFxGRUTKUfeQlEmveEBER6bLAkF6lpRr5RME7\n",
       "QKKCd4BEBe8ACQreARIVvAMkKDhscyhr5CIiIjKgVCMXEZFRohq5iIjIMFJBPjyCd4BEBe8AiQre\n",
       "ARIUvAMkKngHSFDwDpCnglxERET6Tn3kIiIyStRHLiIiMowGuSAvkVg/hbPgHSBRwTtAooJ3gAQF\n",
       "7wCJCt4BEhT6vK1SswV0P3IREZF0ldH9yEVERAae+shFRESGkQry4RG8AyQqeAdIVPAOkKDgHSBR\n",
       "wTtAgoJ3gDwV5CIiItJ36iMXEZFRoj5yERGRYaSCfHgE7wCJCt4BEhW8AyQoeAdIVPAOkKDgHSBP\n",
       "BbmIiIj0nfrIRURklKiPXEREZBgNckFeIrF+CmfBO0CigneARAXvAAkK3gESFbwDJCj0eVulZgto\n",
       "rHUREZF0ldFY6yIiIgNPfeQiIiLDSAX58AjeARIVvAMkKngHSFDwDpCo4B0gQcE7QJ4KchEREek7\n",
       "9ZGLiMgoUR+5iIjIMFJBPjyCd4BEBe8AiQreARIUvAMkKngHSFDwDpCnglxERET6Tn3kIiIyStRH\n",
       "LiIiMoxUkA+P4B0gUcE7QKKCd4AEBe8AiQreARIUvAPkqSAXERGRvlMfuYiIjJKG5V6Kdz/bF3gT\n",
       "MA84FrjQN46IiIhMxerA9xu8pxr5RME7QKKCd4BEBe8ACQreARIVvAMkKDhscyDPWj8MONo7xADZ\n",
       "zjtAorRf6tN+mUj7pD7tl4mS2if9KsiPA5YA1xfm7wncCNwCfDbOGwP+AzgPuKZP+YbB6t4BEqX9\n",
       "Up/2y0TaJ/Vpv0yU1D7pV0F+PFZo503Hatx7AtsA7wK2Bv4R2B3YH/hIn/KJiIgMpH6d7PZbYLww\n",
       "75XArcDCOH0adqLbkcC3+5RrmIx7B0jUuHeARI17B0jQuHeARI17B0jQuHeAPM+z1jcA7s5N3wPs\n",
       "2OJnb0MnvNXzPu8AidJ+qU/7ZSLtk/q0Xybq9z65ttEbngV5JwXxFl1LISIiMsA8z1pfBGyUm94I\n",
       "q5WLiIhIgsapPWt9BtZEPg6sjJ2hvnXfU4mIiMikTgUWA8uwfvH3x/lvBG7CTno7pIX11LtcbVRs\n",
       "BFwM/Bn4E/DxOH8+NvrdzcAF1F4WcQi2r24E9uhb0v6bDlwNnBOntU/sO58B/AW4ATv/ZNT3yyHY\n",
       "/5/rgVOAmYzmPql3OfBU9sP2cR23AN/sYd5+qLdPjsL+/1wLnAmslntvFPZJT0zHCvxxYCVGrwa/\n",
       "HtVBCOZiB0BbA18FPhPnfxY76x/skr5rsH01ju27lAcA6sS/AicDP4vT2idwIvCB+HoG9iM0yvtl\n",
       "HLgdK7wBTsdOVhrFfbIL8DJqC6129sNYfO9y7OojgF8w8RLjQVJvn7ye6t/8SEZvn/TETsD5uemD\n",
       "42NU/RT4G+yIcN04b704DXbEmG+1OB94Vd/S9c+GwK+A3ajWyEd9n6yGFVpFo7xf5mMHv2tgBzbn\n",
       "YD/Uo7pPxqkttNrdD+tjtdXMO4H/6UXQPhpn4qBlmbcAP4yvk9sng3SEWe9ytQ2csngbx44e/4D9\n",
       "51sS5y+h+p9xAbUnDw7r/vov4NPAity8Ud8nmwIPYAMxXQV8D5jDaO+Xh4D/BO7CuvkewZqSR3mf\n",
       "5LW7H4rzFzHc++cDWA0bEtwng1SQ67pxMxf4CfAJYGnhvQrN99Ow7cO9gPux/vGxBsuM2j4Bq3G+\n",
       "HPhOfH6Cia1Xo7ZfNgf+GTsIXoD9PzqgsMyo7ZNGJtsPo+ZzwHLsvIokDVJBrsvVrE/mJ8APsKZ1\n",
       "sKPn9eLr9bGCDSburw3jvGGyM7APcAd2QuXrsH0zyvsE7P/FPcAVcfoMrEC/j9HdLzsAvwf+CjyL\n",
       "nby0E6O9T/La+T9zT5y/YWH+MO6fg4C/Bd6Tmzfq+6Qjo3652hhwEtaUnPdVqv01BzPxhIyVsabW\n",
       "22hcax0Gu1LtI9c+gd8AW8bXJWyfjPJ+eSl2tcds7LudCHyM0d0n40w82a3d/fAH7GqIMYbjxK5x\n",
       "avfJnthVDmsVlhulfdIT7V6uNkxeg/UDX4M1JV+N/SOZj53sVe+ykUOxfXUj8IZ+hnWwK9Wz1rVP\n",
       "rOC6gtpLZ0Z9v3yG6uVnJ2ItXKO4T7LLgZdTvRx4Kvshu9TqVuBbPU/dW8V98gHsErI7qf7efie3\n",
       "/CjsExEREREREREREREREREREREREREREREREREREZFh8Hh83gR4V5fXfWhh+nddXn+3HQR8u8vr\n",
       "/Bp2rT/Y2O/9HsypjF3j22v7AIf3YTsiIlKQjVsfqI4Q16oZLa57ULyPzgry4tDPq2K3d+yXMSaO\n",
       "wnYxNkxtP7ad3eJSpC8Gaax1kX44Ers38dXYjWmmAUdhBdG1wIfjcgH4LXA2NvQn2Pj3f4zTH8qt\n",
       "b3Zc3w/ivKz2PxbXfT1wHfD23LrLwI+x2yJmt08sKsf1/wEb8fA1cf5B1BbE5wKvzW37qzHjhdjt\n",
       "Fy/BhpncO/eZjbDC72bg87n5B8TtXY3dojH7DXkcq3Vfw8Tbfe6LjRqWz50Vqo8DX4qfuwxYJ84/\n",
       "Afgm1npxG7Bf7vOfpvr3KMV543EfnIjtz/yY10Xvwvb39VSHIm02/3Hg69g++xXVITs/jo0Udy02\n",
       "MhjYzUYuA/Zosn0REemBrNacH7MdrOD+XHw9Exv2dBwrbB/HmuIza8Tn2VhhkE0Xa+TZ9H7YcJhj\n",
       "WAF2J3bjioDdZnNBfO/3wKvrZL4YOxAAG774wvj6IGoL8nOoFuQrqA4peWbc/nTgJVjhnH1+ccw/\n",
       "K36X7bHm8J/F5cGGrHxvbr3718kIcAzw1kLurCBfAbwpvv4Pqvv6BOD0+HprbLhMsALyu/H1tPjd\n",
       "dsH+Js8Br2yQIdvmAmw/rxm/x0XYgUaj+VnGrLvlcKr7dhHVmve83LbeH7+LSF9M1iQoMmqKTbJ7\n",
       "AC+mWkjNA7bA7qB1Ofbjn/kE8Ob4eiPgBTRvUn4NdmvECna3qUuAVwCPxc8tjstdgxVU9frWz4zP\n",
       "V8VlJrMc+GV8fT3wNFYA/qnw+QuAh3PbeE1cbnus1QHsgOW++Po57M589WwC3Nskz8/j6yuB18fX\n",
       "Fap3+PsL1ftj7xEf2UHHHOzvcTf2t2i2v8ew/VvG7oIGcDJ2kFNpMP9srCDPDip+SHWfX4f9/X6a\n",
       "ywr2d9PNMqRvVJCLTO4fqdZ2MwG7z3d+enesWflprAY4a5L1Vph44JDdB3pZbt5zNP6/uqzOMs9S\n",
       "222Wz/FM7vUKrCDNXjfaxlgu14lMPHkP7Ds3u4d1o268Yp58huW51/n99BXgfwvrGaf279FIMWOj\n",
       "O5rlv3Oj+W/CCvu9sZaEF2HfYVqDz4r0hPrIRWotxU7OyvwS+CjVAmZLYJU6n5uH1WCfBraitp/4\n",
       "GeoXkr8F3oH9P1wbKxQup/PbZS4Etovr2YjGzc3NvB5rWp+NNTFfijU37x+zgt0xa+MW1pV1GXTD\n",
       "L7E7U82J0xvk8kymgu3fXak2ob8Tq4nXm39J/Nw04G3x9buxv9sY9t3L2G0/VwPmxmXWp7alRqSn\n",
       "VCMXMVkN6lqsdnsNcDx2K8JxrOl6DGsCf0tcPl/rOh/4e+AG7KSry3Lv/S/WDHsl1qecfe4sYKe4\n",
       "zQp2Etf9WJ9wsUbXSg0vW+ZS4I6Y5S9xu43WU6nzOivwfoKdNPYD7PsDHIY1u0/DDlA+Ctw1Sb5L\n",
       "gR2o3/Re3H69PPnXF2L7J9u/S7ET8IqfbeQ+rOC9GPt7nkv1nIhG85/ADoYOA5ZgB18zsP2yWlz+\n",
       "m1iXCHHZdq98EBERSdZc7CTBQdXO5YPTsINAVZKkb9S0LiK99jhW093NO8gUtdPfvRdwBnaegoiI\n",
       "iIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiX/wdyCw/alC0GvQAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7443f45d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Inner loop: 1285 iterations\n",
      "g(Z) = ||X-DZ||_2^2 = 7.118636e+04\n",
      "rdiff: 3.93031988688e-05\n",
      "i(Z) = ||Z||_1 = 5.692668e+04\n",
      "j(Z) = tr(Z^TLZ) = 8.863541e+03\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfUAAAFRCAYAAABtxTTpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm8I1WZ//FPeqOhWbqbRbaGi0AjKAiyCAPCUfZxHBVQ\n",
       "BFFwQWZccH4y7o5E3AdGBRQGVBY3QBDEBRVUroILINDs+75vNtDIDuf3x1OZ1M1NcnOTOnmSut/3\n",
       "65VXUlkq38rtzpNzTtUpEBEREREREREREREREREREREREREREREREREREZEBVgW+3+bxq4HtE7xv\n",
       "qvWKSAlM8w4gMqAOAK4C/gHcBxwDrJB7PE7w+lcAf+wxw0nA5xOsV0RKSkVdZLxDgK9k18sDWwNr\n",
       "A+cBM7PnVHyiSc4M7wAiIjLYlgeWAHs13D8HeBB4V7Z8KHA6cCrwOHApsEnu+bcDO2a3K8AngJuB\n",
       "h4HTgHm5524H/BlYDNwJ7A8cCDwLPJPlOTu33tcBqwNPNqxnM+AhYHq2/G7gWuDvwK+BtXLP/Trw\n",
       "APAYcCXw8qafBswHTgTuydZzVu6xA4GbgEeyfKvlHnsROAi4Mduub2b3LwU82vB+K2fbslK2/C/A\n",
       "oux1fwI2zj33duBjWeansm19J3AH9tl+hs4/+5EsZ+31DwGfyr3XtGz5Zuxv/Ddgzeyxl2E/8h4B\n",
       "rgfegoiIDJzdgOdo3ot1EvCj7HYVK7p7YIXlEOBW6gX1Nqz4AnwYK9qrYy39/82tZ22sYOydvXY+\n",
       "8MrssROBwxoy5Nf7O+C9uccOx4YJAN6IFdwNsm35NFYgAXbFCtTy2fIGwKpNthfgl8Ap2NDDDOA1\n",
       "2f2vw4rgpsAs4CjgD7nXvQj8LHuPBdgPol2zx74LfCH33A8A52S3N8N+bGyJFeR3Zttc6yG5HbgM\n",
       "WAP7gbAR9qPnn7LnHI79XTr57EeynMdl69oEeDr7PAA+iv14WD9b3hj7+8wB7sJ+fE3LPoOHgA3H\n",
       "fXoiIuJqP2wMvZmvAOdmt6tYsaipAPcC22bL+eJ7be42WIv2WayIfxL4SYv3O5HxY+r59b4HK+y1\n",
       "978Ta/UD/AprqddMw/YPWAt4LXAD8GraD8GtBrzA2H0Jar6LfR41c7JtqvUGvIgV2prTgI9nt3fE\n",
       "Wr81f8I+d4BjGf9D5nrqPyZuw/Z3qPks8MPc8tJY78ZEn/006kV99dzjFwFvzW7fALyB8fZm/H4N\n",
       "x2VZRFxpTF1krIexbuBm/zdWw1pkNXfnbsdseXXGG8G6rRdnl2uB54GXYN25t3aZ9UxgG6yVvT1W\n",
       "oC7MHlsbODL3no9k968OnI91h38LaxUfByzXZP0LsC73x5o8thrWZV3zj+w91sjdd3/u9pPAstnt\n",
       "UWAZYCvss3kl9W79tbFej8W5y5qM/VzvasiR/zs8RX1bof1nP1HONYFbGG9t7AdRPuO+DesUcaGi\n",
       "LjLWX7CW3p4N9y+Ldc3/LnffgtztaVgRuLfJOu/MXjsvd1kme+5dwLotsky0h/1irOdgb6yonNLw\n",
       "nu9reM85wF+zx48GtsC6rxdiXc2N7sK6m5u11O/FCmbNHGBFbOx9Ii8APwb2yS4/x34U1HJ/sSH3\n",
       "slhLvyb/udxHfZwbrKW+Ym651Wffqjcm7y5gvSb334kNNeTXuRw2jCAiIgPmo1jrbVdsHHYEG/P9\n",
       "G/Wx3SrWjftmbKz5I7QeU/8PrHVc65peGfjX7PYCbEz9Ldl6VqQ+pv5lxnYtN64XrKv4MqyHIb9D\n",
       "2ZuwQ/I2ypZXoL4z1xZYS3MmVox/he3418wvsgxzs+fXjpHfERsnfyU2Hn0kY7ukXwRemls+ibFD\n",
       "CVthhfUqxnZxb44Vza2wIYU5wOupt54bt38j7PPbBhvb/ypjx9TbffYjWc584+Z86sMW/wlcgRX2\n",
       "CjbmPj/Lcjs2ZDAzu2yJ7TwnIjkV7Ff6UdgOMiJe3o0VnCexAn8sY1ush2Ktzfze75vmHs8Xnwrw\n",
       "/7Cx4cex8eT8jmLbYS3ox7CC9o7s/vWAy7EW+ZlN1gswO1vnVU22YT9sR6/aer+T3f86rFgtwYYT\n",
       "vo+1XpuZhxXk+7Gu+DNyjx2Ubcsj2E5x+S7yFxhb1Jvt9HcT9mOk8dC0XYGLse2+F2ulz8kea9x+\n",
       "sB3W8nu/301934Z2n/1IlrNVUa/tYHhr9tqLctu4EPvB82D2vr9l7NEPIoK1ek4CjmD8f1yRYXIH\n",
       "9Z3WpH+WxY5eWNs7iIjY3rEHZrdP9wwi0oNVsBb+mhM9UQrxBqynYQ52yNqlvnFE/PRjR7kTsD1s\n",
       "G7sHd8O6xG6ifqjL3djEFGBjXSLDZkvsUKijGLtXtqTzr9gOevdgOx2+zTeOSLm9BptQIl/Up2Nj\n",
       "WyPYTiaLsIkblsbG/Y4C/r2vKUVERKQjI4wt6ttg01bWfCK7iIiISJe8ToiwBmMnkLgbO8SmU/fQ\n",
       "fJIPERGRMrqF5vMmuBhhbEt9T+DbueX9sMkwOjXRpBzDruodILGqd4CEqt4BEqt6B0is6h0gsap3\n",
       "gMSq3gES6qjuec0odw9jZ+NagHYqyhvxDpDYiHeAhEa8AyQ24h0gsRHvAImNeAdIbMQ7gDevov43\n",
       "7MxHI9gsUHtjk1dMRhUIRYYSEREZMIEB64E4BZsV6hlsHL12PurdsUN/bsbOVDUZZe9+D94BEgve\n",
       "ARIK3gESC94BEgveARIL3gESC94BEip13Sv1xomIiDQY6DF1aS94B0gseAdIKHgHSCx4B0jscezL\n",
       "UxddvC5/pwdeh7QVoYqdl3nUNYWIlMly2ElgyipQ7u/MwPBvX2xYDpT/x/S4jRYRKYK+W8Rbq3+D\n",
       "Hf3bVPe7iIhISaioD6bgHSCx4B0goeAdILHgHUB6ErwDJBa8A3gb5qJeRX9AEZGapYBrgJd0+PwP\n",
       "Al9JlGUU2KHNsocDgBPbLA+qwIAdp56Cxr1EJIVh/m75EHBMdnstYEmTy/PA77LnLIXNHbJygizn\n",
       "A9u3WN4MeAw7TW7N5sDiLHejEexU3LVtuB/4ObBT7jlvp/n2vgh8JnvOAYwt4vvTWVE/ArgROzLi\n",
       "OuAdLZ63C/As8CdgdsNjC4GzgQeBR7ATmi1ssZ6extSHVak3TkTcDPN3y9XYGTBb2QQrTK/L3Xc8\n",
       "cEiCLO2KOsAXgd9nt2cCV2A9B82MYMW51rO8CnAwVrT3b5PhvdjEZ7WeiwPorqhXqRfgrbBDzho/\n",
       "562Ah7HzmvwUmyF1eu7xLbGJ1+ZiR50dhv1AaEZFvYSCd4DEgneAhIJ3gMSCd4DEBvm75VXA5Vhh\n",
       "/jFwGvD57LG1gCdpPaS6PNba/HbD/ftSL65Fmqioz8KK2vuAQ4EL2qxrhLFFveYQrNWeF7LrzbCi\n",
       "n3/PxiLeaVFvdDbwkdzyBsAd1HsOpgOnAie0Wcd8bJvmNXlsyu79XqX8XzAiMjDi8RBHIZ4DcW6f\n",
       "1zELOAsrFPOw6bffRP2LfmPgVqxQNHMiNi33Dxvuvx54ZZv3vRLrFm92+eYk8jd6FngP8N9YgXxP\n",
       "F+s4C2u1b9Bw/1zgDKw1/MceMjazNNbqvjp33zbA24DfZssvYD+WrqB1F/v2wH3Y5ziRgMbURUS6\n",
       "0ua7JY5CjAVeTptEru0ZfybLC7DCBTam/JcWrz0EK/jNfkSsj42zF22iljrACsBDtG+lQ+uW+uzs\n",
       "/nxXeAXr+j6ryXqKaKmfDJwzydc0WhP7W+7d4vEp21IXEemnJ7PrS4B5UKlM/sKvcus4aBLvvTp2\n",
       "yuq8u3K3F2Oz4TXaDmvl7QU82uTx5bCd1jz8D/AH7NTb+QL3BNZ1/jhWAFtZI7vOT6v6cWBD2o+1\n",
       "d+twYCPgrT2sY2XgXOBb2PCJZMreUg/eARIL3gESCt4BEgveARJr11Kfa63rbrvee1rHDoxvqV9I\n",
       "vaW+JvAPxjbUXpK95sDcfaFhHW+nvjd8M9fQfK/yJdT3tG9mopb6TsAD2Njy7tjYeLPxZWjdUv9P\n",
       "rAu7JmCfQavhhF5a6p/DhiJaZezEPGyfiC9N8DztKFdCwTtAYsE7QELBO0BiwTtAYoP63TIT2xnr\n",
       "g9je02/ETmd9WO45V1Dvip6OFdLvNawnNCwfjxXHorUr6nOw4YB9co9/HzipxbpGsKJe25v8Jdjn\n",
       "8Di2RzvAatgPg3bH3Xdb1D+J7WTY6fH/zSwPXAwc3cFzVdRFRAoyyN8tm2MtvSXY3u8/oX4MNsD7\n",
       "qbeet8cKYa0rO3+5KnvObHyOUz8S+EXD81fEWu47NlnXCPXj1J/InvcL7Ljwms8y9lj2Zj0KB9Bd\n",
       "UX8ReKphnZ/o4HV5+zP+79FqeGHKFvUq5W81iEh/DdMX50WMHTuexeDMKNfJjnL9VtQhbak1O0tb\n",
       "tcn9pVLqjaP8P1aCd4CEgneAxIJ3gMQG+btle2BVrPt9f2z8eLJdwqHgTK2cz9hpYftV1EObxw5g\n",
       "OKaJ7amlPsznUxcRmUo2wLrd5wC3YHu0P+CaqL1B+4EUGZspv/wEzfPuhk37KokN2j8WESkHfbeI\n",
       "Nx2nLiIiIirqgyp4B0gseAdIKHgHSCx4B5CeBO8AiQXvAN5U1EVERMSVDmkTkRQ0pi7edEibiEhB\n",
       "9N0i3rSjXAkF7wCJBe8ACQXvAIkF7wBT2NWMPdZ7I+zEMJ06A/hYoYnqGk/52uoUsK3cjp0TvtVy\n",
       "p0IXrykVFXURkeHwCsaeH/zz2JnDwE7M0myK1BepTyX7Vbo7b3mvmp0U5hnsvOM1ja3QTlqlM7Ef\n",
       "Krdh27lD+6fLIFMXmYikMCzfLasBj2BTw7byXuBexs46dyM2h3zRJtNSnwNcCxyau+82xrbMG5eb\n",
       "mQkcDGyLbaf3NLRFmbJzv4uIFG2Qv1tuB16X3X4ndl7uVjbDWsSNhe547OQnRZtMUT8V+HXDfd0U\n",
       "9by7UFEHNE3soArAqHOGlALl3b5AebcNyr99rVU5HlgIPAnsS5VH+7yO/Jf6xsANLZ43F+uWPoyx\n",
       "3fUAz9L6fONrYadvbeXfsYLci4OBrYFX9bieVgJT9d9nRkVdRKQzC6mP2y6m2vP6jgP27vK1K2Dd\n",
       "740q2DnUr6Q+3p73FFb0m7kTmNdlnk5sDXwRO73q3xO+z5Q2zEW9iv0iG3VNkcaod4DERr0DJDTq\n",
       "HSCxUe8Ajp7Mri8BdumypX4OsHu2joN6yLIYWK7J/R8HNqT1uPl90EXu3q0EnI6dh/zihO8zmnDd\n",
       "XgKT2Kt/mPd+r1LOP6CIDKZ9sbOkdVfQi1sHWEt8YcN9AfgUdva2x1u8bkNgUYvH1qL5HvS1yz5d\n",
       "Zp0G/Ai4APhWl+uYykahgH6hATfIO7MUIXgHSCx4B0goeAdILHgHSGyQv1tuo76j3EuAh6nv/b4a\n",
       "cD/wrgnWcSewRYJs7XaUOwzb231Om9d3u6PcUsBsbEe5nYFdOnjNoNPkMyIiU8wDwO+BN2XLBwKr\n",
       "AEcxvoV9TPacLbEx9b/1NSl8GlgH+9GRz/U4sGaP674BGxZZHfgN8Cu6m7RGnA3yr2kRGV7D9N2y\n",
       "IZMbnz4D2C1Rll5nlOv1kLYy0XHqIiIF0XdLd1TUi6Pu9xIK3gESC94BEgreARIL3gGkJyHReruZ\n",
       "5rWT9X2K5jvt/bLF60KP7zv0hvmQNhERGQzTJ1ieyDoNyy/Nrr+UXaTk1EUmIinou0W8qftdRERE\n",
       "VNQHVfAOkFjwDpBQ8A6QWPAOID0J3gESC94BvKmoi4iIiCuNe4lICvpuEW9Tdky9irpaRGRquZr6\n",
       "ecM3wk4M06mUk890alfgLOcMkzEIn1lAc78PveAdILHgHSCh4B0gseAdILFh+m75CfDW7PbbaX48\n",
       "94vAZ7LnbEnrc7D34gDsZC2d+BuwVXa72THoT2CZ92t43QJsfvcHgPUaHnuCsdv7ZG55X6wgfr9J\n",
       "lk4/s35Pq6sZ5UooeAdILHgHSCh4B0gseAdIbFi+W1bDzqc+q81z3gvci538peYuWp+WtVsHMHFR\n",
       "n4YVyBsneN4XgKuApXP3rQhclz32ceAWYNUWr7+P+klvag6leVFvptlndiPFf2btqKiLiBRk0L9b\n",
       "bgd2BN4JnNfmeZthrc7tG+4/HvhsgXk2xE4S83z2fn/P7j8JOBY4B2tJ75i97/Ft1vXPwGPABrn7\n",
       "5gB/xU4KU3MwcBmwfJN15M9kV1Ols6Ler89sIlN2TF1EpG8iHB9hNMI5EeY6raP2xf4KWnelz8XG\n",
       "gg8D/tjw2HXAK1u8bi1gcZvL25q85jrg34C/AMsB83OP7QN8HlgWuHCCzCPA97CWcv45WwJHAl/M\n",
       "3XcU1mrfusW6utHtZzZwNE3sYArAqHOGlALl3b5AebcNyr997SwEdshuLy6gSX8csHeXr52Ldb83\n",
       "qmDF8Urg8CaPr07rHxN3AvO6yFJpcl8EfooVe4Bnsvdd0uS5S2EF9QfA6Q2PjbZ4zzNb3D+7XdAW\n",
       "JvrMnqDLH3Ee1FIXEenMk9n1JcC8ClQme8HO911bx0E9ZFmMtYwbfRzrEt+/xeuWAR7t4X0n466G\n",
       "5cU07zI/Eiv6hyRP1NxEn9ly9O8z69kQF/V4DsSh+fU0SaPeARIb9Q6Q0Kh3gMRGvQM42hf4MbBL\n",
       "pfsv+SLWEbFW5cKG+wO2R/lewOMtXjsLWNTisbVovjd47bJPmzydaJb5HcCbsb34X+hwPe083eS+\n",
       "dvkCE39mG9L6M5OCRIgR4n0QvwPxUIjvhrgzxJdBXNY7oIgMpUHfUa62I9gqwMPU935fDbgfeNcE\n",
       "r78B2KLgTLtmuWbm7jsJG0/P24yx4+WvwH4s7FRgllY7yv0Q6+afnV2Wwvcza2fK7ih3NfAh4GJs\n",
       "34DtgU8AZwMPQlwM8UqIv4T4vxA/DXF/iK+DuD7Epdus21vwDpBY8A6QUPAOkFjwDiAAPAj8HnhT\n",
       "tnwgVuiPYnwL+5jsOVtm10Ufd/174BqsQD6Y3RcZX4Qux/Zurx2n/hHs0LWzmmT+RJdZmo2pR6yX\n",
       "4SlsCOVJ4GZsp7xOPrMl9P9Y9Skntu96jxWIK0LcFOIbIL4f4pch/gDiKMRbID4N8SGIl0E8G+K3\n",
       "IH4C4tshbg9xHYjtjgFNKTi9b78E7wAJBe8AiQXvAIkNekv9DmC77PaGWKOmU2cAHys80eTsTNoZ\n",
       "5ULB6/OYUa6nlnqzvRaHQaTn7HEasDI2U1HtsmbD8mrYcZd3tbjcDdwLled7yyIiA6KA75ZkVsGO\n",
       "U1+IffdIObX6N9jRv81B/cc7kT79x4vTsZmLWhX9BdgPgwdpXvBrtx+AShE7gYhIWoNa1LcEzsUO\n",
       "g+u2a1qGg4q6rzgTO/azWcGvXeZi0xc2Fvv85SGo1LpXAuXeyzhQ3u0LlHfboPzbN0DfLUkEyv33\n",
       "Cwz/9vVU1DX5TM8qz2HjXHe0fk5cCliDsYV+Q2AX6j0Ay0K8B1gazp0FuzyIzVl8qa1bLX0REWlv\n",
       "0H6RBuwwiKuBU4E/tHheCX9Nx2Ww4n46sEl25wPAs8BKwE3A9diUhbXrG6HyVP+zipRWCb9bZMiU\n",
       "qqX+Inb4wFJMuR1BKk8CN2at9U2wGad2gcqj2XH3GwAvw1r4e2W314V4P/VCnyv6lYccNkJEROT/\n",
       "1H6FrILNA9zKoB920oM4F077fWez5cUZ2TH3b4D4MYgnQPxzdoz+wxAvzCbnOQTi6yGum+385y14\n",
       "B0goeAdILHgHSOxx6sdY66KLx6V2prtGscX9fXcC1o18VcP9u2Ety5uwuXfzZjF+Yv+8gdm4REJv\n",
       "L48ViC+BGCD+G8RvQPwNxDsgPolNyvNjiJ+DuA92PP8yRQTvUOjje/Vb8A6QWPAOkFjwDpBY8A6Q\n",
       "WPAOkFBHda8fY0evwc5y8z1g4+y+6djUezsB92BdzftgXcq7YnuLH8P4U+DVRDTu1aU4h3pXfq07\n",
       "/2XAetiPryZd+WP2zBcRkf7rqO71qzCOAD+nXtS3wfbsrs3UUzvu8isdrk9FvXBxOrAO44v9htjn\n",
       "3Vjorwdu0175IiJ90VHd89pRbg3GnpbvbuDVk1zHSdjsSmBnO1pE/fjEkF0P6/J/0PftqdSWb8Z6\n",
       "Vv5my7ECW74RXr0WfPMZ4GVw5ltgztqw6woQb4bTH4HFd8D7fgNcB2u9BO56erC2r2/LtduDkqfo\n",
       "5drtQclT9HLt9qDkKXq5dntQ8hS9XLs9KHl6Wa7dHmEAjTB2TH1P4Nu55f2AoyexvrJ3BQfvAJ2J\n",
       "y2Tj8ftk4/OnZeP1T2Xj97/OxvP/DeIO2Th/haHZvq4E7wCJBe8AiQXvAIkF7wCJBe8ACQ3MmDqM\n",
       "737fGjsdXq37/ZPY4Wxf7XB96n4faHE6sDb1LvxaN/6GwLLYeZOfBi7Czuz0SO7y8Pjblef6vAEi\n",
       "IoNmoLvf/wasjxX7e4G9sR3lJqOKdVeMFhdLilF5Abg1u/xy7GPxQmBb7JSLywIXACtml3Vzt1fE\n",
       "Jt2Zby3/ZsV+3O38D4EnE26giEi/BCbRA9GP1u4pwA7Yl/SDwGeBE4HdgW9ge8J/F/jyJNZZ9pZ6\n",
       "oLQ/VuI5MLo7hNzkOm2fXwGWxwp8vti3u70S9m+kkx8C+duPF7CXf6C0fztA2zfsAtq+YTUwLfVW\n",
       "LfBfZReZWvaFB88E9pi4oENWZB/LLrd09haxAixD68K/LrBVk/tnQ5xgKGDc7cU6AkBEBsWwtnYj\n",
       "8DnU/S6FiksB85lcr8Dy2A+OR4AVsB/Kz2LnLXgceBJ4qotL7XXPaI4AkSktZJdDGaDj1ItW9u53\n",
       "GRpxBjAPK/A/AjbLHrgYG2ZauoPLMm0em4ntVDjZHwPd/oh4GiovFvgBiUgxBqb7XSYvUO4eiEBp\n",
       "tq/yPPCQXeL92aGylwC7dja8MJE4HZhNdz8IVmzzWKvXLgXxWZoX/jXht3Ngp6exWSCfAp6b4PJ8\n",
       "B8/p9HntnvN8QT0agdL822wqoO0rtU6L+gg2jehvsS+CGVjXoojUTXJ/gU5UXgD+kV36IFZo/SPi\n",
       "OJixKbAcNtRwEtaT0O4yA5jT4fN6ec50iM/T24+IV8B582Dnp4G/ZveVyeZw3nzY+SnKu30rZtv3\n",
       "F8q1fVt02jndybPeBxyIjTWuCywEjgV27DZdATSmLtJ38RzsqJUOj1zop1ih9x8HXwI2ylb4F+zo\n",
       "nDI5lLHbd6RjlhQOxebCAPvRUpLtO2wjWPLvcMRKFDTsfAV2fvPLc/c1nnGt37TjkEjfxbnZrIEd\n",
       "nBZ4GMVzIEaIF5dzG7V9wyueQ4F17+LsulbUZwBXFrXyLpW9qAfvAIkF7wAJBe8AiQXvAOnEuXDa\n",
       "78tXEGq0fcMrzqXAunc48GnsVKk7A2cBXyxq5V1SUR9uwTtAQsE7QGLBO0BiwTtAYsE7QGLBO0BC\n",
       "hc39Ph14D7BLtvwb4DudvkEiOqRNRESmklLXvYjN/R58Y4iIiCQVsHpXWEv9tib3ReClHUcqXql/\n",
       "sVD+Yy0D5d2+wKBuW5XpdHcoWe3yIW5ifdbnUeAYbFKc6cC0AbnudR2rcBtLsQ7PY1MBl22Yb362\n",
       "fS9Qzu2bV+Ltm0eVZSlo8pktc7dnA3thk1qITG1VZmLHbC+bXb7IjWzMQv4O/A82XWy3BbTXY7qb\n",
       "XaC7iWFql82YwUrZej4D/BE7ZfILXVw/1+XrOr3u5jU/BF6dfVZXAh+gXE7FTns9E1hE+bbvNMq7\n",
       "fbVtm1C3rd3LgFd1+doilL2lLkWrMoN68a1dluvgdrvHpgNLgCey6zWzxwHuw44c6aZ4FjFD2/hL\n",
       "ld5OPFNl7HHqVQboOPUCaPuGW5m3r8o5VNmdglrqm1PvxpgGbIF9mYmkUWUanRfgTh+bhRXfWgF+\n",
       "osXyEmza19taPJZ/3TNUc118Zf5SMfsCxwEHlXDbQNs37Mq8ffsCizt5Yiet3VHqRf154HbgCOwQ\n",
       "Ny9lb6kHBnVcdrKqLIPtf1G7vIdbWJ11eRa4BhvSaSzAs7ETjExUVCfz2NNjCnCabZ3LNZzJy9mj\n",
       "hF8qNYGy/NtsLqDtG2aB8m5fYSd0CT1HSaOKpon1V6UCrIoV7HWpF+/a7bnYD8FbgFuBpZnG/OzV\n",
       "NwGfZHwBfooqw3emMCvkh3F6aQu6iPRfYBJ1uF3VPyS7bmzdVLL7vjaZVAUre0t9sFSZjZ3Up1nR\n",
       "Xgc72UitaN+au30LcN+YAl3+LmoRkRR6bqkvR/NDAiot7pdhZa3tlWhetF8KrAzcydii/cf/W66y\n",
       "ZBLvVuZxLxERV8Pa2i17Sz1Q9LBClVnA2jQv2utie0jnW9j5An53z3tOjxUo77BJoLzbBtq+YRfQ\n",
       "9g2rwsbUl8amid0ou11rpb+762iSRpX5tC7aqwH3MLZYX5Rd30a1sz0rRURkcHXS2j0DuA54O3YO\n",
       "8/2y5YMT5ppI2Vvqzdmx1gtovVPadFq3tu+kynMOqUVEpHcd1b1OCuMiYFNshqVNsNl6LsRmXvIS\n",
       "sR8Yo5Slq8XGtWcBxwMvx/42PwXWoF68FwAP0Lxo3wo8kvywLRER6aeQXQ6loKJ+MbAVcAHwfuB+\n",
       "rNt2as79bhOjLI0dTz0nuyzb4fVEz7GCfBszWAeAG4GjqRftO6jydPJtTC9Qlh9j4wXKu22g7Rt2\n",
       "AW3fsCpsTP3bwHxsruefYcXnv3qK1g/WVT2Zgtrpc5fBTmTxBHYo1z9yt5tdLwbubvOc+u0qz+qQ\n",
       "LxER6VYnrd0Z2ExygyRS5T7gCmz2sWbFdybtC+5ExbjVc54seE/wsarMRYd8iYjIWIWNqd8J/Bo7\n",
       "S8zvGYxj1CNVwMb2D6V5UX5G48siIlIShQ07zwH2Bs4C7gC+CbymiBX3IFLl4qxVW0bBO0BiwTtA\n",
       "QsE7QGLBO0BiwTtAYsE7QGLBO0BCHTVSp3XwnH9grfQ3Y3vBr8Bg7Iig8WYREZEuBOBY7HSUPwb2\n",
       "dE0zGEMAIiIi/VJY3bsdO156H2wntEGgoi4iIlNJYXVvhaJWVKCInXo1+MZIJngHSCx4B0goeAdI\n",
       "LHgHSCx4B0gseAdILHgHSCBg9a6jot7JceqP9RAmpap3ABERkcRGs8uhvjHSUve7iIhMJYXt/S4i\n",
       "IiJDoJOiPhs7Q9unseb/ocBnU4aSUo4L5QXvAAkF7wCJBe8AiQXvAIkF7wCJBe8A3joZUz8beBS4\n",
       "FEpxMhEaBdm3AAAdEUlEQVQREZEp62rvAE1oTF1ERKaSwsbU/4ydR11ERESG3HXAc9i5va/KLle6\n",
       "Jip/Sz14B0gseAdIKHgHSCx4B0gseAdILHgHSCx4B0iosOPUd29YYSFniREREZFidVqgN8XOzBaB\n",
       "C7DzmHsq7BR0IiIiQ6CjutfJmPqHgR8AKwMvyW4f3FM0ERERcXEVdk71mjnZfZ409/twC94BEgre\n",
       "ARIL3gESC94BEgveARIL3gESCBQ89zvAiy1ue6p6BxAREUlslILnfv8Itrd7FfgcNp7+/4paeZfK\n",
       "vve7iIhIXkd1r9OdzTYHtqO+o9zlXYYqinaUExGRqaTnurd8dj0/u6yYXWrLnsreUg/eARIL3gES\n",
       "Ct4BEgveARIL3gESC94BEgveARLqeUz9FOD1wGUtVrZOF6FERERExih7S11ERCSvsLnff9fhfSIi\n",
       "IuKoXVFfGhtDX5n6OPp8YARYI3myqS14B0gseAdIKHgHSCx4B0gseAdILHgHSCx4B/DWbkz9IGw2\n",
       "udWxc6nXLAG+mTKUiIiIpPEh7wBNaExdRESmksLG1CMwL7c8D3h/N4lERETEV7Mzsi3qe4qxyt5S\n",
       "D94BEgveARIK3gESC94BEgveARIL3gESC94BEiqspT6t4XnTgZndJBIREZF0Oply7ghgLeC47PkH\n",
       "AXcChyTMNRFNEysiIlNJR3Wvk8I4HXgfsGO2fB7wHeCFrqP1TkVdRESmkqGte3OAS7ApalvRmPpw\n",
       "C94BEgreARIL3gESC94BEgveARIL3gESKux86tth53EdyT0/Ai/tKtbEPgaclmjdIiIipdVJU/4G\n",
       "4D+wE7vku9wfTpBnZ2zWutnZ+n/Z4nlD2w0hIiLShcLq3kU9vv4E4AHgqob7dwOuB24CPp7d9wXg\n",
       "68BvgJ/SegPK3v0uIiKSV1jd+wpwOLAN8KrcpVOvATZjbFGfDtyMdenPxI573zD3+P7AP7dZZ9mL\n",
       "evAOkFjwDpBQ8A6QWPAOkFjwDpBY8A6QWPAOkFBhY+pbZyvbouH+13YY5AKseOdthRX127PlU4E3\n",
       "Atdlyyd3sN6Tcq9/FPthMJoth+x6WJc3HbA8RS+Xffu0rGUta7nX5drtEQbQCGNb6nsB384t7wcc\n",
       "PYn1lb2lLiIikldYS/1Q6gP0+ZUe1kWoGhVlERGRgnVS1P9BvQgvDfwLcG2P73sPsCC3vAC4e5Lr\n",
       "qGLdFaM9ZhlEgXJuV02gvNsXKO+2wYBuX7T9dGYDS2XX+Uvjfa2e86ZzYfVd4AnsyJtn+rwZqe1y\n",
       "Lqxa8u1brWzbdyIsuBp2+FqHz++kqB/RsHw4cO7kYo3zN2B9rFv+XmBvYJ9JrqPaYwYRKUC0c0N0\n",
       "UkwnU2Ane9904OmGyzOTvG+FWbAKdtke+GGhH5S/ZafA9q2MXV4D/MA5TyHeBfcDW3Ra1Ls55m0+\n",
       "cDGwXofPPwXYAVgReBD4LHAisDvwDew/43eBL08ig45TF+lBtB/0KwBzc9dzm9yXf+wV2IyPFaw1\n",
       "VCuqM+m+kBZ13/OVHof1IpyDfS9dAuxSsR1wS0PbN7winFOxbStk7vf8Dm7TsF95hzG5HduKpqIu\n",
       "U1a0f/vL0L4AT/TYbOBx7IvvsYbrZvc9BnwV2DyLcTZ26OnTwLO9FtRBEO2zOQ44qEwFoUbbN7wi\n",
       "zK3AYjqoe+2639cBbsPG0Gsreh6bSOa5XkMWoIrG1IdVoLzbF5hg27Lx3+XpvAA3u36O5oU3X5Tv\n",
       "avPYE5MtxBEeHLUNvAQ4oGLrKY2sEBxLyQpCjbZvaIXKJI6/b1fUz8B+lZ9A/Qxtg6TqHUAEIFqr\n",
       "d33ga7+GjXaDp4DzsR1LmxXnOVgruV1Rvge4psVjj1Xg2X5tX86+D8KZwB5lawmJDLDR7HJoJ09u\n",
       "15RfBJwO/DvwtYbnxuw+L+p+l77KurxXA14GbNBwWR3r1VoZ23cE4HLs/0izwr2kAi/2M7+IDL2O\n",
       "6l67lvrbgDdhXYXLFRRKZKBFG6ten3rBrhXxhdj48fXYSY5uAH6XXd9WgefKvKOOiJRHuznYvUSs\n",
       "+z34xkgmeAdILHi+eYRKhDUj7BThAxGOivCbCHdEeCrCNRHOjPClCPtH2DrCvA7WO/c0+H22w05Z\n",
       "Be8AiQXvAIkF7wCJBe8ACQSs3hU2o9w5PYRJqeodQAZbtLHrhYxtcdda3Uuot7hvAH6dXd9RsR1C\n",
       "Jy1rmR+2t1roIlKcUQoaUx9kGlMX4P8mPlnA2DHuWgFfCTtxUL7L/AbghrLtuS0ipddR3RvWwqii\n",
       "PsVE269jIeN3VFsfaxnXCna+gN9ZgRdcAouIFKuwujcH+C/qZ1VbHzt23dPQT3QxgeAdILHQ7M4I\n",
       "0yOsE2G3CB+OcGy0Mep7IvwjwqIIp0U4LMLbI2wR7XjvQRK8AyQWvAMkFrwDJBa8AyQWvAMkVNiY\n",
       "+onApcA/Zcv3Ysew/6K7XIWpUt7JZ0ptIcy5AbZifJf5usAj1Fvc1wJnZct36TAwEZmCAgX/WLk0\n",
       "u748d98VRb5BF8reUi+dCLOz1veSCC9EeCzCGRGqEd4WYbNsxzYRERmvsJb6M9jMWDXrUpJT2kl6\n",
       "EWYB7wE+BVyGtbo3x7rNX6joKAYRkb7aBfgD8BDwI+AO4LWuicrfUg/eAXoVYWaE90a4PcKvImyZ\n",
       "3X/O+RAjXFzS47mDd4DEgneAxIJ3gMSCd4DEgneAhAprqZ+LtbC2zpY/jBV4kXGyk5W8HTvF7h3A\n",
       "vhX4c+4pmj9cRMTRz4F9GazxzrLPKDd0IkzLxsavj3BB1N9GRKQIgUnMKNfpCo/FWl1nAHthZ6Xy\n",
       "VPbu96GRTbm6R4SrIvw1ws5RcwiIiBSt8Lo3A9gZ+DF22khPZS/qwTvARLJi/i8RLotwaYTXT6KY\n",
       "h5TZnAXvAIkF7wCJBe8AiQXvAIkF7wAJFTamDrb3+78CbwVeBZzcZSgZclnh3hk4DBuS+Szw00r5\n",
       "f2iJiJTCj7Gu9+Owvd6n+8YBVEBcRHhtNl5+XYS9s3nXRUQkvcLq3q4MRiHPU1HvowjbZtO13hRh\n",
       "vzh4/x5ERMqu57q3Y3a9J7BH7lJb9lT2oh68AwBE2CrCr7Njzd8dOx+umUgoaD2DKHgHSCx4B0gs\n",
       "eAdILHgHSCx4B0io5zH17YHfAW9osbIzuwhVpCqa+z2JCJtiY+abAV8ETqjAs76pRESmpEDBP1Ze\n",
       "2uF9/VT2lrqLCK+I8JMI90Y4OPofuigiIqawundZk/subXJfP6moFyjCBhFOifBAhP+MsIx3JhER\n",
       "GaPnurchNn5+K2PH0g8Arul15T0qe1EP/XiTCOtGODnCQxE+FWG5frwv5R73Ct4BEgveARIL3gES\n",
       "C94BEgveARLqeUx9ITaevkJ2XbMEOLD7XOItwtrAZ4A3A0cD61XgMd9UIiLSD9t4B2ii7C31JCKs\n",
       "EeGYCI9E+GKE+d6ZRESkI4XVve8x9hSZ84ATilp5l1TUJyHCqhG+EeHvEQ6PsLJ3JhERmZTC6t6i\n",
       "Du/rp7IX9VDESiKsFOG/s2J+ZIRVi1hvAYJ3gISCd4DEgneAxIJ3gMSCd4DEgneAhDqqe51M81lh\n",
       "bDftfDSj2ECLMC/CF4AbgGWBTSrw4Qrc7xxNREScvRMrDp+nXije6ZpI51NvKsIKEQ6N8HCE70QY\n",
       "8c4kIiI9CRR8PnWAlwMfzC4bFbniLpW9+31SIiwb4ZMRHozwvQjreWcSEZFCFVr3XgO8K7u9MrBO\n",
       "kSvvQtmLeujkSRGWiXBIhPsjnBrhZYlzFSV4B0goeAdILHgHSCx4B0gseAdILHgHSKiw86lXgc2B\n",
       "DYATgVnAD4Btu00mvcmmbz0Q+CTwV2DnClzlm0pERIbBFdgOdZfn7rvSKUtN2VvqTUWYFeHfItwV\n",
       "4ecRXuWdSURE+qKwlvozwIu55TldxZGuZac8fSfwX8CNwF4VuMg3lYiIDKOPAscBtwHvw7p7D3ZN\n",
       "VP6WegCIMD3CfhFuinB+hO2ccxUleAdIKHgHSCx4B0gseAdILHgHSCx4B0iosJb64cAu2JzvC7HW\n",
       "4nnd55KJzITKs/BWbH+GxcBBFfi9byoREZE0SttSj3BOhCciPBphj2iT/4iIyNTWc937U3b9BNZK\n",
       "z18eB24HPtDrm3SplEU9wr4RnokQs8tp3plERGQgJK97K2Kzy3koXVHPCvq9Ef54vhX0i+PYE+mU\n",
       "SfAOkFDwDpBY8A6QWPAOkFjwDpBY8A6QUGFj6mCHTr0G2wv+T8BlwCPAa7uKJmNE2Bc4AtgZuOdB\n",
       "OBPYowKP+iYTEZGy+Sw2scnngMOw49b/yzVRieZ+z7XQX+6dRUREBk6g4Lnfb8RmMKtZOrvPUym6\n",
       "3yPso4IuIiIdKKzunQ/Myy3Pw//wqqEv6llBvy/CK5o8HPqdp8+Cd4CEgneAxIJ3gMSCd4DEgneA\n",
       "xIJ3gIR6HlM/Ort+DLgGODdb3hm4uPtcEmEf4GvYnO1Xe+cREZFyaHcM9AHYL4Pacxpvn5wu1oTy\n",
       "WYaKCrqIiHShsLq3NLAx1k08e4Ln9stQdr9HeFubLncREZFWeq57M4H/Bh7GDmG7LLt9ePaYp6Er\n",
       "6pMs6CF1HmfBO0BCwTtAYsE7QGLBO0BiwTtAYsE7QEId1b1pbR47HJgPrIMdp/4q4KXYhChH9Jpu\n",
       "KonwNuDrqMtdRESc3Ezzoj89e8zT0LTU1eUuIiIF6LnutTsWXcepdyDC3iroIiJSgJ7r3tnA/k3u\n",
       "fwfws15X3qOBL+q5gr5xFy8PRecZMME7QELBO0BiwTtAYsE7QGLBO0BiwTtAQj0fp/4BbA7ydwOX\n",
       "ZvdtDiwDvLmnaCUXYW/gG8AuFZtiV0RExF0F2BE4GPhQdnsQDGxLvccWuoiISDMDW/eKMJAbp4Iu\n",
       "IiKJDGTdK8rAbVyuoG9SwOpCAesYZME7QELBO0BiwTtAYsE7QGLBO0BiwTtAQj0fp+7hZcCxwI+B\n",
       "9zhn6VhuDH3XClzpnUdERGSQTMMKeysD01KP8NYCW+giIiLNDEzdm6w3AL8C9mjznIHYOBV0ERHp\n",
       "k4GoewAnAA8w/tCu3YDrgZuAjzd53dlt1um+cYkLekiwzkESvAMkFLwDJBa8AyQWvAMkFrwDJBa8\n",
       "AyTU83HqRTkROzf793L3TQe+CewE3ANcgk1oswrWQp8NnN+HbF2J8FbgSDSGLiIiU9AIY1vq2wC/\n",
       "zi1/Irt0yq2lHuEt6nIXEZE+G5iWejNrAHfllu8GXj3JdZwE3J7dfhRYBIxmyyG7LnQ5wsrAUfvC\n",
       "p0+xM9jR7vla1rKWtaxlLXe5XLs9wgAaYWxLfU/g27nl/bAu+k71vaWetdDvj/DKPrxd6MN7eAre\n",
       "ARIK3gESC94BEgveARIL3gESC94BEhro49TvARbklhdgrfWBFOEt2I+OXStwhXceERERTyOMbanP\n",
       "AG7J7p+FdZ1vOIn1RaBKH36V9bmFLiIikheweud+1FfNKcC9wDPYOPq7svt3B24AbgY+Ocl19mXj\n",
       "Iuylgi4iIgNgYIp6Csk3zrmgB4f37KfgHSCh4B0gseAdILHgHSCx4B0gseAdIKGBHlMfaBH2wo6j\n",
       "1xi6iIhIYsnG1NXlLiIiAyQwYGPqKSTZuAh7qqCLiMgAUlGf5AprBX3TotfdheAdILHgHSCh4B0g\n",
       "seAdILHgHSCx4B0gseAdICGNqXcq2mQ43wJ2q9jhdSIiItInhY2pD1gLXUREJC+gMfWOV6KCLiIi\n",
       "w0BFfYIV1Ar6ZkUEKljwDpBY8A6QUPAOkFjwDpBY8A6QWPAOkFjwDpCQxtRbyY2h716By73ziIiI\n",
       "TGVdt9Qj7DHALXQREZFmSt/9XmWSXS0q6CIiMmQC2lGu6QuGqaAH7wCJBe8ACQXvAIkF7wCJBe8A\n",
       "iQXvAIkF7wAJaUy9JsIewDFoDF1ERGTgdNxSj/DmIWqhi4iINKPudxV0EREpidIX9Sptxk+ygv5A\n",
       "hFf1K1SBgneAxIJ3gISCd4DEgneAxIJ3gMSCd4DEgneABAJTfUe5IS/oUM5/mHnBO0BCwTtAYsE7\n",
       "QGLBO0BiwTtAYsE7QEJTs6iXoKCLiIg0mnpFPcKbVNBFRKSEplZRL1lBD94BEgveARIK3gESC94B\n",
       "EgveARIL3gESC94BEpo6x6lHeBNwHHYc+mXeeURERKRzMXejTC10ERGRZjpqqc9InSKh6qfgOeBg\n",
       "1EIXEZFyCpR7WAGAGOGNWQt9c+8wCQTvAIkF7wAJBe8AiQXvAIkF7wCJBe8AiQXvAAmVfkz9eOCf\n",
       "K3CpdxARERHpXoxwYYS53kFERET6oNyHtEW7nOYdREREpA9KX9QvLnFLPXgHSCx4B0goeAdILHgH\n",
       "SCx4B0gseAdILHgHSKj0Y+q7VOBR7xAiIiLSm1J3Q4iIiDQofUtdREREcoa5qFcp7/hJ8A6QWPAO\n",
       "kFDwDpBY8A6QWPAOkFjwDpBY8A6QQMDqXUeGekY57wAiIiKJjWaXQ31jpKUxdRERmUo0pi4iIjKV\n",
       "qKgPpuAdILHgHSCh4B0gseAdILHgHSCx4B0gseAdwJuKuoiIiLjSmLqIiEwlGlMXERGZSlTUB1Pw\n",
       "DpBY8A6QUPAOkFjwDpBY8A6QWPAOkFjwDuBNRV1ERERcaUxdRESmEo2pi4iITCXDXNSrlHf8JHgH\n",
       "SCx4B0goeAdILHgHSCx4B0gseAdILHgHSCCgud9FRERKYRTN/S4iIlIqGlMXERGZSlTUB1PwDpBY\n",
       "8A6QUPAOkFjwDpBY8A6QWPAOkFjwDuBNRV1ERERcaUxdRESmEo2pi4iITCUq6oMpeAdILHgHSCh4\n",
       "B0gseAdILHgHSCx4B0gseAfwpqIuIiIirjSmLiIiU4nG1EVERKYSFfXBFLwDJBa8AyQUvAMkFrwD\n",
       "JBa8AyQWvAMkFrwDeFNRFxEREVcaUxcRkamko7o3iGdpeyPwemB54LvAeb5xREREpFdzge+0eKzs\n",
       "LfXgHSCx4B0goeAdILHgHSCx4B0gseAdILHgHSChod/7/TPAN71DONnUO0BiZd6+Mm8baPuGnbav\n",
       "5PpV1E8AHgCuarh/N+B64Cbg49l9FeCrwK+ARX3KN2jmegdIrMzbV+ZtA23fsNP2lVy/ivqJWAHP\n",
       "m461xHcDNgL2ATYEPgjsCOwFHNSnfCIiIkOvXzvKXQCMNNy3FXAzcHu2fCq2k9xXgKP7lGtQjXgH\n",
       "SGzEO0BCI94BEhvxDpDYiHeAxEa8AyQ24h3AW6WP7zUC/BzYOFveC9gVODBb3g94NfChDtZ1M7Bu\n",
       "wflEREQG1S3AehM9yfOQtl72YJ9ww0RERKYaz73f7wEW5JYXAHc7ZREREZFJGGHs3u8zsO6EEWAW\n",
       "tqf7hn1PJSIiIpNyCnAv8AxwF/Cu7P7dgRuwMfJPdrCeZofAlUmrQ//KYAFwPnANcDVwsG+cws0G\n",
       "LsJ+nF4LfNk3ThLTgcuxfWPK6HbgSmwbL/aNUri5wBnAddi/z6194xRqA+xvVrs8Rvm+Xz6JfXde\n",
       "BfwIWMo3TjGmY8V/BJhJOVv2rwE2o5xFfVXqE0Msi/2YK9vfb5nsegbwV2A7xywpfAT4IfAz7yCJ\n",
       "3AbM9w6RyMnAu7PbM4AVHLOkNA24j7FDu8NuBLiVeiE/Ddi/1ZMHeUa5RvlD4J6jfghcmVwALPYO\n",
       "kcj91CcTegJrMazuFyeJJ7PrWdiP0L87ZinamsA/Y1M39/OomX4r47atgDUYTsiWn8das2W0Ezas\n",
       "e5d3kAI9jtW8ZbAfZMtg+6Q1NUxFfQ3G/qHuzu6T4TOC9Uhc5JyjaNOwHy4PYEMN1/rGKdTXgY8C\n",
       "L3oHSSgCvwX+Rv1Q2zJYB3gImwTsMuDb1HuVyuZtWPd0mfwd+B/gTmwY+1Hs32lTw1TUy34Sl6li\n",
       "WWxs78NYi71MXsSGGNYEtqc8J5f4F+BBbLyyjC3Zmm2xH5u7Ax/AWrdlMAN4FXBMdv0P4BOuidKY\n",
       "BbwBON07SMHWBf4Dawytjn2Hvr3Vk4epqOsQuOE3E/gJ8APgp85ZUnoM+CWwhXeQgvwT8K/YmPMp\n",
       "wOuA77kmSuO+7Poh4CxsyK8M7s4ul2TLZ2DFvWx2By7F/n5lsgXwZ+ARbOjkTOz/5NCbKofAjVDO\n",
       "HeUqWCH4uneQRFaifjKJpYE/YucwKJsdKOfe78sAy2W35wB/Anbxi1O4PwILs9tV7KRZZXMqbXYg\n",
       "G2KvxI4YWhr7Hj0Z60kqhckeAjdsWh36VwbbYd3Ti6gfetJ4kp9htjE2XrkIOyzqo75xktmBcu79\n",
       "vg72t1uEfYGW7fvllVhL/QqspVe2vd/nAA9T/2FWNh+jfkjbyVivp4iIiIiIiIiIiIiIiIiIiIiI\n",
       "iIiIiIiIiIiIiIgMltr0tWsD+xS87k81LP+p4PUX7QDg6ILXeQTdT6G7A7BNj+8/QvETPC2FTfAy\n",
       "TLN0SgnpH6DIeLXzDKwD7DvJ186Y4PHGSU22neT6+63Xcy40fscsh82LP9rl+l7L5KfInOhvUoRn\n",
       "sLMsvqkP7yUiIpOwJLv+K3ZGpMuxE9BMAw4HLsZm5npf9ryAfaGfDVyf3fdT7GxfV1M/49dXsLmb\n",
       "Lwe+n91X6xWoZOu+CpuR7q25dY9iJ6m4Dps3v5nRbP0XYbMu1s7lfgBjW9q/wIpq7b3/O8t4HrA1\n",
       "8AdsOuY3ZM/ZP9uW84Ebgc/m1rVf9n6XA/9LvYA/gbXGFzG+AO8HfCm3vCM2E9+VwHexKaDBTrFc\n",
       "O7f5Ftn7r43Nz3539p7bAitjc5lfnF1q71fFPuMLsXPA541Qb6nPxs5edmWWI0xw/wHY37nZ5/Fq\n",
       "yncyERGRoVcr6o3znL8P+HR2eyls2s0R7Av/Cazo1MzLrpfGCkhteQlj1Zb3BM7FivsqwB3Aqtm6\n",
       "H8XOzlTBTuzQrHV/PvajAGw65fOy2wcwtqj/nHpRfxHYNbt9Zvb+04FNsKJZe/29Wf7Z2bZsjp13\n",
       "4WfZ88HOAPaO3Hr3apIR4Fhgj+z2bOx0kutlyydjP57ATh7TWNQBDgU+klvfj6h/HmtRP91tFfv7\n",
       "LNUkwwj1on4Ido54gA2wz32pNvcfQPPPg+zxlue5FumHfnRLiQyrxtOM7oLN8V4rWMtjBel5rJV4\n",
       "R+65H6beFbsAWD97TivbYQUqYqc5/QOwJfB49rp7s+ctwopSs7H4M7Pry7LnTORZ4DfZ7auAp4EX\n",
       "sJZ7/vXnAotz77Fd9rzNsd4IsB8v92e3X8DOxtdMrbUNVixvw87lAPUTVRw5Qe7832Unxp7YaTls\n",
       "HvCI/eh4ZoJ1bQscld2+AfsbLmxzf6T553Fp9l7TsGL/9ATvK5KEirrI5HyQeiu4JmDnqM4v74h1\n",
       "Zz+NtTJnT7DeyPgfEbXx7HxheoHW/2+fafKc5xk7rp3P8Vzu9otYka/dbvUelVyukxm/4x/YNrcb\n",
       "i2+1L09+3fnc7T67Ctbt/WyTx55s87rGdUzm/sbnvNiw3Ot+CCJd045yIq0tYexZn34DvJ96wVuI\n",
       "nbKz0fJYS+5p4GVYca95juYF8wJgb+z/5MpYF/nFdFZY2rkd2DRbzwK6O0f4zlh389LAG7Fx6t9h\n",
       "PRYrZ8+Zj3V/T6Q2rADWAh4B1s2W34H1UNRy185Hv2fu9Y1/k3OBg3PLr+wgQ94FwNuz2wuxbbi+\n",
       "zf0Vxn8etV6TpbAfVBP1Dogko6IuMl6tpXUF9iW9COtO/w42ZnsZ1l19LFagI2NbZ7/O7r8W+DLw\n",
       "l9xjx2M7X9V2lKu97qzs/iuwgvlRrBu+cd00WW63DRdiXdzXYt3al7ZZT2xyO2I/Ln6SZTsD2/7r\n",
       "gM9gRfWK7HrVJutpdCH1Yv00dnrh07Ftfx7b4Q7gc1neS7L7a+v8OfBm6jvKHZyt7wrs1JQHtdm+\n",
       "Ztt6DPY9eCX183E/1+b+Vp8HwGaM/VuLiIiU2rJYoR5WB9D6uP0vYT84RNyopS4i/fQEto/Ba72D\n",
       "dKlZzwlY1/t22OF/IiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiImX3/wFkCNsfWdx1CAAAAABJ\n",
       "RU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa743ff0850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Global objective: 1.369766e+05\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAgYAAAFRCAYAAAAPXGVyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xe8JFWZ//FPT2SIwyBIGrgYUFFWkoBKOIgSTGBkMBDc\n",
       "FV0UXEXFARRYDGtaBQP4UwkmkmBaWRZELkYYBAZmgZEZgjBDRkFAJZ7fH+fUdt07fW/33FtPP93V\n",
       "3/fr1a8+Vd1d/e2+MOf0qaeqQEREREREREREREREREREREREREREREREREREREREBsjpwAkdPvdp\n",
       "4FkTfJ/bgN0n+FoR6WNTvAOIyAjzgCuAR4B7gMuBfy09HvPNWrfeR0R6jAYGIr3jCODLwGeBZ+bb\n",
       "e4GXA9NLz2t0P1rfaKDvR0REamAt0izBG9o87zRG7kp4N7AEeAD4CbBB6bGngcOAm4H7gM/R7DSf\n",
       "DfwSuD8/9r2coXAr8IoxMswCvkja3fAg8GtglfzY64Hrgb8AlwLPL73uNtLg59r8urOAmfmxG4HX\n",
       "lJ47LefaKi/vCPwub3chsGvpucPAJ4HfAn8j7T7ZA/hjfp+vAZcB/1x6zbuAG4A/AxcCm5Qeexp4\n",
       "D3BTfr+vjvr8786v/Wv+rFvn9RsC5wH3AreQvnsREZEJ2Qt4gvazeOWBwStodp4zgJNIHWDhaeAS\n",
       "YDYwl9RRFp3js0k1BNOBZ+TXfan02vEGBl8jDSo2yHl3zO+/OWlwszswFfgIadAyrbTNy4H1gbVJ\n",
       "net78mMfJw1OCq8hdboAG5EGMHvl5Vfm5XXy8jBp0PGCnGdd4CFg37x8OPA4aTAAsE/O9bz8+NGk\n",
       "QUXhaeCnwJqk7+1eYM/82FuAZcC2efnZpEHFFOAq4Jj8eTcjDcj2WOHbExER6cA7gLtGrSt+If8N\n",
       "2CmvOw3499z+NvAfpeevRuoAi1+/TzOyY/pX4BdjvP++wNWl5bEGBlNyni1bPPZx0ixAoUHqRHcp\n",
       "bfNtpcc/C5yc288h/QIvZh6+T+pkAY4EvjPqvS4EDsjtS4HjSo8dwMiOHuB2mgOD/y61i8/0KGkQ\n",
       "AOl7e1np8bOBj+b2/9B6JmAH4E+j1s0HTm3xXJGephoDkd7wAOmXe/n/yZeRflk/QOv/VzdgZGf0\n",
       "aH7uRqV1d5Tat5OmuyHVL5xF6rgfAr5L8xf4eJ5B6rxvHiPP7aXlmN+/nOfuUvvvwOq5vZS0O+H1\n",
       "wKrA64Af5Mc2Jf1S/0vp9nLSzEOh/Dk3zJ+rrLy8KXBiaVsP5PVj5fxbKefGtP7sm+b3LWecD6zX\n",
       "4rkiPU0DA5He8HvgMdIv907dCQyVllcjde7LS+s2GdUuHvs08BTwIlJtwTvp7N+D+4F/kH7ht8qz\n",
       "aWm5QfoVvrzFc2HFox7OBPYnTfXfQNpPD2mw8V3SIKm4rUGqmWi1rTtJHXg5R3n5duCQUdtbjbSb\n",
       "o507aP3ZbyfNiJS3uSbw2g62KdJTNDAQ6Q0PAscDXwfeROr4ppDqB1YrPa9cdX8mcDDwYlIR36dJ\n",
       "nVv5V/uHadYYHE6aFof0C/hR0vT9RqR6gE48TZoe/0/SDMFU4KWkGoNzSLUBryDVLhxBGkT8boxt\n",
       "jT564CzSvvz3knYlFL5HmkHYI7/fKkBg5C/88rZ+TtrVsQ9pf//7GDm7cApwFLBFXl6LNCMxlvJ3\n",
       "/i3Sd7pNXvcc0oBrAfAwaZfDrJzzRcB242xXRESkrbeRzmPwKKno7XLgX2gerliuMYBUvLeUNB3+\n",
       "U5q7CiB14u8nTX3fD3ye5o+BLYA/kDqzq4EPMXJAMV7x4SqkQsVlpAHNMM3agH1JRYMPkvb9v2Cc\n",
       "bR7LirUDvyDVSYyegt8+v88DpO/lZzRnAS5lZM0ApAFG+aiE3wFvLz3+DuA60m6U20kdfuEpRp4Y\n",
       "qtV3vpj03V1HGphBGij9gFQr8uf8nmN9hyID6VTSCVoWlda9mDRleh3pH7E1So/NJ1UKL2ZkwdS2\n",
       "eRtLSPsFCzNJv36WkP7xLE9hHkg61OgmmgVKIjKYppB2Z+za7okiYmtn0vG95YHBlXk9pCnQYhS+\n",
       "BenY5OmkfaZLaU7dLSD9WgC4gOYhS4eSpl0B9qNZDT2H9Atpdr4VbREZHHuQ/r+fSTq6YTnNcyaI\n",
       "iKMhRg4MHiy159I8Tnk+6ZCkwoWkY6M3IFUqF+aR9g8Wz9kht4uToUAqXjq59JpT8utEZHAcS9p9\n",
       "8lfSLOVLfOOI9I9uFx9eTyoIglTsUxw3PPrwomWkwqLR65fTLDjaiOYhSk+S9hWuM862RGRwHE86\n",
       "tHJNUnHklb5xRPpHtwcG7yLtAvgDqSr68S6/v4iIiIxjWvunVOqPNE8tujnNc6Mvpzl7AKnaeFle\n",
       "v3GL9cVrNiEdszyNdMjRA3l9KL1mLun0ra0sZ2QVt4iISJ3dTOtzcXTNECNrDNbN91NIhykdlJeL\n",
       "4sMZNM8xXhQfXkGqJWiwYvFhUUswj5HFh7eQCo/WLrVbqfNlZY/zDmDsOO8Axo7zDmDsOO8Axo7z\n",
       "DmDoOO8Axo7zDmCsbb9nOWNwJunwoGeQagGOJe0+eF9+/Dzg9Ny+gXRylBtI9QKH0gx/aH7eLNLA\n",
       "4MK8/tuks6EVV5YrCgz/TLrITLFP8XhGFj0OiiHvAMaGvAMYG/IOYGzIO4CxIe8Ahoa8Axgb8g4g\n",
       "vuo8Y3C6dwBjp3sHMHa6dwBjp3sHMHa6dwBDp3sHMHa6dwBjde73KlHnLyh4BzAWvAMYC94BjAXv\n",
       "AMaCdwBDwTuAseAdwFid+71K6AsSEZFB0rbf00WU6it4BzAWvAMYC94BjAXvAMaCdwBDwTuAseAd\n",
       "wJsGBiIiIiKZdiWIiMgg0a4EERER6ZwGBvUVvAMYC94BjAXvAMaCdwBjwTuAoeAdwFjwDuBNAwMR\n",
       "ERGRTDUGIiIySFRjICIiIp3TwKC+gncAY8E7gLHgHcBY8A5gLHgHMBS8AxgL3gG8aWAgIiIikqnG\n",
       "QEREBolqDERERKRzGhjUV/AOYCx4BzAWvAMYC94BjAXvAIaCdwBjwTuANw0MRERERDLVGIiIyCBR\n",
       "jYGIiIh0TgOD+greAYwF7wDGgncAY8E7gLHgHcBQ8A5gLHgH8KaBAfECiLO9U4iIiIi/CDFCPNs7\n",
       "iIiISBeotq6NCHGBZgxERGRAaGDQRoT4Vu8QRoJ3AGPBO4Cx4B3AWPAOYCx4BzAUvAMYC94BjOmo\n",
       "hA7Mh6jvQURERIgQr6zxrIGIiEiZdiW0ESHuAXExxGneYURERIxpYNBGhNiAOAzxYO8wFQveAYwF\n",
       "7wDGgncAY8E7gLHgHcBQ8A5gLHgHMKYag/YaETgaOBbiTO80IiIi4qc0coo/h/g+vygiIiLmtCuh\n",
       "jfLAYGuId0Jc1S+OiIiIKQ0M2hj1BcVzIX7UJ0rlgncAY8E7gLHgHcBY8A5gLHgHMBS8AxgL3gGM\n",
       "qcZgJX0C+DDEtbyDiIiISPe1GDnF0yEe3/UkIiIi9rQroY1WA4PNID4Acd3uxxERETGlgUEbY3xB\n",
       "8WsQv9DdKJUL3gGMBe8AxoJ3AGPBO4Cx4B3AUPAOYCx4BzCmGoMJ+iRwMMSNvIOIiIhI94wzcoqf\n",
       "g3hy96KIiIiY066ENsYbGKwD8X6Iz+peHBEREVOuA4NTgXuARaV12wMLgGuAK4GXlB6bDywBFgN7\n",
       "lNZvm7exBDixtH4mcHZefzmwaemxA4Gb8u2AcTK2+YLisRC/M/5zelbwDmAseAcwFrwDGAveAYwF\n",
       "7wCGgncAY8E7gDHXgcHOwNaMHBgMA3vm9t7Apbm9BbAQmA4MAUuBRn5sAWlAAXABsFduHwp8Pbf3\n",
       "A87K7TnAzcDsfCvarbQbGKwJ8R6ILxz/eT0peAcwFrwDGAveAYwF7wDGgncAQ8E7gLHgHcCY+66E\n",
       "IUYODM4E3prb+wPfy+35wJGl510I7AhsANxYWj8POKX0nB1yexpwX2m75dqAU/LrWungC4ofhnhe\n",
       "++eJiIj0vLb93rRupCj5GPAb4AukIyJemtdvSNodUFgGbAQ8kduF5Xk9+f6O3H4SeAhYJ2+r/Jpl\n",
       "pddMxNeAD0LcDhp/mMR2REREel63BwbfBg4HfgS8hVSH8KouZxjtdOC23H6QtEtjOC+HtEcjfpJ0\n",
       "CON/5PWlx3t2uWj3Sp6ql4t2r+Sperlo90qeqpeLdq/kqXq5aPdKniqXi3W9kqfq5WJdr+SZ7HLR\n",
       "HqJHDDFyV8JfS+0G6Vc+pJmEj5UeK3YTrM/IXQnl3QTF7gYYuSuhvLsB4BukGoRWOtzXEmdAvAXi\n",
       "Lp09vycE7wDGgncAY8E7gLHgHcBY8A5gKHgHMBa8AxjruRqDq4Fdc3t30pEJ0Cw+nAFsRioYLIoP\n",
       "ryANEhqsWHxYDBLmMbL48BZSweHapXYrK/EFxQMg/hpio/1zRUREepLrwOBM4E7gcVItwMHAdqSO\n",
       "fiHwe9JRC4WjSEcjLKZ55AI0D1dcCpxUWj8TOIfm4YpDpccOzuuXkA5dHMvKDAymQrwB4l7tnysi\n",
       "ItKT3GcMet1KfkHxzRCv6pNZg+AdwFjwDmAseAcwFrwDGAveAQwF7wDGgncAY7pWQsXOz/dvdE0h\n",
       "IiIiJiYwpRL3zrsUplYfR0RExJR2JbQxkYFBIxchjneqZRERkV6kgUEbE/yC4i758MUZ1capVPAO\n",
       "YCx4BzAWvAMYC94BjAXvAIaCdwBjwTuAMdUY2Gj8inSBpn/2TiIiIiLVmcSUStwO4nKIs6qLIyIi\n",
       "Ykq7EtqY5BcUz0sXWRIREekLGhi0MdmBwQvzZZnXrCZOpYJ3AGPBO4Cx4B3AWPAOYCx4BzAUvAMY\n",
       "C94BjKnGwFbjeuAi4IPeSURERGTyKphSic+GeD/EdSa/LREREVPaldBGRV9QPAXiZ6vZloiIiBkN\n",
       "DNqoamCwEcQHIG5QzfYqEbwDGAveAYwF7wDGgncAY8E7gKHgHcBY8A5gTDUG3dFYDpwOHO0cRERE\n",
       "RCahwimVuG6eNRiqbpsiIiKV0q6ENir+guK/Qzyt2m2KiIhURgODNqoeGKwF8T6IL6h2uxMSvAMY\n",
       "C94BjAXvAMaCdwBjwTuAoeAdwFjwDmBMNQbd1XgI+AJwvHcSERERWXkGUypxNYh3Qty6+m2LiIhM\n",
       "inYltGH0BcX3Q/y5zbZFREQmTAODNqwGBjMh3gbx5Tbb70hwfO9uCN4BjAXvAMaCdwBjwTuAoeAd\n",
       "wFjwDmBMNQY+Go+R6gw+BbHhnUZEREQ6YzilEqdBXAzxVXbvISIislK0K6EN4y8ovhXilZo1EBGR\n",
       "HqGBQRvWA4MpEBdC3Nf2fVoKDu/ZTcE7gLHgHcBY8A5gLHgHMBS8AxgL3gGMqcbAV+Np4BjgkxCn\n",
       "eqcRERGR8XVhSiU2IP4O4tvt30tERGRc2pXQRpe+oLgbxKUQp3fn/URERFrSwKCNLn5B8WKIh3Tv\n",
       "/Wq/nyx4BzAWvAMYC94BjAXvAIaCdwBjwTuAscpqDIaAV+b2qsCaEww0yI4GPg5xFe8gIiIik3EI\n",
       "cCVwc17eHLjEL06lujylEn8M8YPdfU8REZH/U0m/dy0wE7imtG5RFRvuAd0eGGwJ8W6Ia3T3fUVE\n",
       "RICKdiU8lm+FaZ1sWFppLAJ+CXygC28WuvAenoJ3AGPBO4Cx4B3AWPAOYCh4BzAWvAN462RgcBlp\n",
       "//iqwKuAc4GfWYaquWOBf4M4xzuIiIjIaJ2cqncq8M/AHnn5f4BvUY9Zg0hn30HVb/tN4H5ozO/+\n",
       "e4uIyABz6vf6h9PgJs6F+ADE9X3eX0REBlQl/d6tLW63VLHhHuA46xG/DPEkwzcIhtvuBcE7gLHg\n",
       "HcBY8A5gLHgHMBS8AxgL3gGMte33pnWwkZeU2qsAbwbWmWgi+T+fAW6A+AVo3O4dRkREZDKu7uA5\n",
       "pwL3MPLQxrNIhz1eQ5p5KB8COR9YAiymWc8AsG3exhLgxNL6mcDZef3lwKalxw4Ebsq3A8bJ6Fwn\n",
       "ET8F8Vu+GUREZIBU0u9tC2yTb9sB7yWd26CdnYGtGfucB18gXXkQYAtgITCddJbFpTSLIxYA2+f2\n",
       "BcBeuX0o8PXc3o806ACYQzoZ0+x8K9qteA8M1oZ4H8TNfXOIiMiAqKTfGwYuzbeLgW8Cz+vwtUO0\n",
       "Hhg0gNuBZ+fl+cCRpccvBHYENgBuLK2fB5xSes4OuT0NuC+39wdOLr3mlPy6VnrgyIp4FMQzDTYc\n",
       "DLbZS4J3AGPBO4Cx4B3AWPAOYCh4BzAWvAMYq6TGIEw+xwp2Ju1mKE6zvCFpd0BhGbAR8ERuF5bn\n",
       "9eT7O3L7SeAhUu3DhqNes6z0ml50ErAU4ouh0clMjIiIiJnxBgZH5PvRo4tGXvefk3jf/YEfTOL1\n",
       "NdJ4BOJngBOA11e44eEKt9WLhr0DGBv2DmBs2DuAsWHvAIaGvQMYG/YO4G28gcEatJ5yaIyxfmXe\n",
       "8w2kmoXCcmBuaXlj0i/95bk9en3xmk2AO/M21wIeyOtD6TVzSachHsvpwG25/SCp1mE4LxfbsV7+\n",
       "BnAEvPtQ+OYNDu+vZS1rWctarudy0R6iRwyxYo3BXqR6hbKi+HAGsBlpF0NRfHgFqZagwYrFh0Ut\n",
       "wTxGFh/eQio4XLvUbqUHagwK8V8gVnnVylDhtnpR8A5gLHgHMBa8AxgL3gEMBe8AxoJ3AGOV9Huz\n",
       "gPeTjgA4jXQY4qkdvO5M0q/5x0i1AAfn9aeRLuU82lGkoxEWA3uW1heHKy4l7Y8vzATOoXm44lDp\n",
       "sYPz+iWkQxfH0ksDg+kQl0DcvaINhoq206uCdwBjwTuAseAdwFjwDmAoeAcwFrwDGKuk3/shaf/3\n",
       "LaRO9mJGdtD9rIcGBgBxf4iXQ9R5rEVExEIl/d7CfH9dvp9Omt6vg14bGEyBeB3E13knERGRWqqk\n",
       "31uQ738NbAmsi66VYCjuA/HaNEiYlFBFmh4WvAMYC94BjAXvAMaCdwBDwTuAseAdwFjbfq+Tzueb\n",
       "pIK+Y4CfAjcAn5tcLhnHT4F/AG/1DiIiItJKJydB6lc9OGMAEF8J8SaIdf7uRUSk+yrp924H/h+w\n",
       "O81DCOuiVwcGDYi/hPjP3klERKRWKun3ViNdpOhHwJ+Ar5JOaVwHPTowAIgvhXg7xJkT3ECoMk0P\n",
       "Ct4BjAXvAMaCdwBjwTuAoeAdwFjwDmCskhqDR0mXN34DsBXpDIPDk4olHWj8nnQVy/d4JxERERkt\n",
       "kM4yeCvppEJvck1TnR6eMQCIW0G8C+Jq3klERKQWKun3bgN+TLrw0epVbLCH9PjAACCeBXG+dwoR\n",
       "EamFSvq9tarYSI/qh4HB8yDeB3Gs6z2MJVik6SHBO4Cx4B3AWPAOYCx4BzAUvAMYC94BjFVSY/BQ\n",
       "BUFkwhp/BH4GfNg7iYiISN31wYwBQNwU4gMQ1/NOIiIifa1P+j0/ffQFxa9A/JJ3ChER6WuV9Hur\n",
       "AG8HjgaOzbdPVLHhHtBPA4P186zB3A5fECzT9IDgHcBY8A5gLHgHMBa8AxgK3gGMBe8AxiqpMfgJ\n",
       "8HrgCeCRfHt0crlk5TXuJl234uPeSUREZLD9r3cAQ300YwAQ50C8H+JzvJOIiEhfqmTG4HfAP00+\n",
       "i0xe48/AicDx3klERGRw3UjajXATsCjfrnNNVJ0+mzEAiGtAvAfii9o8MXQjjaPgHcBY8A5gLHgH\n",
       "MBa8AxgK3gGMBe8Axtr2e51c1nfvURur2xUW+0zjYYifBU4gXb9CRESkMp128luRrqgYgV+TLu5T\n",
       "B5G+HOjEWcAS4I3QWOCdRkRE+kbbfq+TGoMPAN8D1gWemduHTzqaTELj76QZg096JxERkcGzCChf\n",
       "3W+1vK4O+rDGoBCnQ7wZYhjjCWOtr4vgHcBY8A5gLHgHMBa8AxgK3gGMBe8Axio5KgHg6THa4qbx\n",
       "BOlkU5+C2Ie7Q0REpF99iHQUwnGkw+SuBT7oGahCfTxjABCnQrwe4mu8k4iISF+orN/bllRrcDiw\n",
       "dVUb7QF9PjAAiG+AeA3ETmd/RERkcE2q31sz38/Jt3XyrViugzoMDBoQr4T41lEPBI80XRS8AxgL\n",
       "3gGMBe8AxoJ3AEPBO4Cx4B3A2KTOY3Am8Brg6jE2tNkEQ0mlGhHiMcCJEM+HxpPeiURERPpVDWYM\n",
       "IM8aXAbxYO8kIiLS0yrp9y7pcF0/qsnAACDuBPE2iDO9k4iISM+a1OGKs0g1BevSrCuYAwwBG1UQ\n",
       "TirV+A1wA/AveUXwy9IVwTuAseAdwFjwDmAseAcwFLwDGAveAbyNV2PwHtKRCBsCV5XWPwx81TKU\n",
       "TNgxwH9BPK0vz/QsIiJ94TDvAIZqtCuhEM+F+FHvFCIi0pMq6ffeD6xdWl4bOLSKDfeAOg4MXgDx\n",
       "XohreScREZGeU0m/1+pKigur2HAPqOHAACD+ES68G+IFEGd7pzESvAMYC94BjAXvAMaCdwBDwTuA\n",
       "seAdwFgl10qYMup5U4HpE00kXfEXmPlMYG/gG95hRESkXr4AnAPsDrwSOBf4omui6tR1xuACiBHi\n",
       "3yBu4J1GRER6Rtt+r5PS9anAIaSBAcDFwLeApyaeq2dEalm+H2eTZgoawIPQOMQ5kIiI9Iaa9nvV\n",
       "qemMAQAB4hoQl0Cc5x3GQPAOYCx4BzAWvAMYC94BDAXvAMaCdwBjldQY7ESaJVgC3Jpvt3TwulOB\n",
       "e4BFo9YfBtwI/C/w2dL6+fk9FgN7lNZvm7exBDixtH4mcHZefzmwaemxA4Gb8u2ADrLWVONhYD/g\n",
       "KxCf451GRETq4Y+kIrZnAs8o3drZmXSJ5vLAYDfSIKMoXlw3329BOtJhOunMiktpTnUsALbP7QuA\n",
       "vXL7UODrub0fcFZuzwFuBmbnW9Fupc4zBiXxMIhX6XTJIiIDr5J+74pJvHaIkQODc4BXtHjefODI\n",
       "0vKFwI7ABqTZhcI84JTSc3bI7WnAfbm9P3By6TWn5Ne1MigDgwbEH0H8sncSERFxVcmuhEuBzwMv\n",
       "BbYp3SbiucAupKn/YWC7vH5DYFnpectI12MYvX45zes0bATckdtPAg+Rru0w1rYGTWg2GxF4F7Av\n",
       "xH2c8lQteAcwFrwDGAveAYwF7wCGgncAY8E7gLfxrpVQ2JE0wthu1PrdJvh+a+dtvoQ0g/CsCWyn\n",
       "SqcDt+X2g6RdGsN5OeT7Giw3/gKHfA7efBrEraBxe2/l07KWtdwny7R5vN+XafN4vy0X7SF6xBAj\n",
       "dyX8N7BraXkpqV7hY/lWKHYTrM/IXQnl3QTF7gYYuSuhvLsB0mF7+42Rb0B2JZTFj0L8LUSdpEpE\n",
       "ZPBU0u8dC3yidF/cOjHEyIHBe4Djc3tz4PbcLooPZwCbkQoGi+LDK0iDhAYrFh8Wg4R5jCw+vIVU\n",
       "cLh2qd3KIA4MpkC8EOKnvZOIiEjXVdLvfRg4It+OIdUHnNrB684E7gQeI9UCHEw66uC7pMHCVYyc\n",
       "6jiKNIOwGNiztL44XHEpcFJp/UzSrojicMWh0mMH5/VLSIcujqXOA4Mw9kNxPYjLIO4x9nN6XvAO\n",
       "YCx4BzAWvAMYC94BDAXvAMaCdwBjJv3eTOAyiw07GNCBAUDcDeKdfXzK5OAdwFjwDmAseAcwFrwD\n",
       "GAreAYwF7wDGTPq9OaRf73VQ54FBB+JxEC+BONU7iYiIdEUl/d6i0u16UpHfYVVsuAcM+sBgKsRh\n",
       "iMd4JxERka6YVL+3Wb7flLT/fgjYmHpdcrnOA4PQ2dPiRhDvgriLaZrqBe8AxoJ3AGPBO4Cx4B3A\n",
       "UPAOYCx4BzA2qRMc/TDfn0o6zv820smCnphsKukljeWkkx99H2Inp7oWEZEaG+/SiwuBc4F/Bf5z\n",
       "1HNjXtfvdPnJ/xM/Rzps9HX5TIkiIlI/bfu98WYM5gFPAVOBNYDVS7c1KgooveNo0smmPugdRERE\n",
       "eturvQMYqvMv47DyL4lDEO+FuH3bp/oL3gGMBe8AxoJ3AGPBO4Ch4B3AWPAOYKySiyhdUEEQ6QuN\n",
       "24D3AmdBHOtskSIiIrVV5xmDSYhfhXhuulyziIjUiPq9NvQFtRRXgXgNxPd6JxERkUpV0u+tBnwc\n",
       "+GZefi7w2io23APqPDAIk3t53BzifRBfXEma6gXvAMaCdwBjwTuAseAdwFDwDmAseAcwVkmNwWnA\n",
       "48DL8vKdwKcmEUr6QuMm0hEKZ0Nc3TuNiIj0jqvy/TWlddd6BDFQ5xmDisRTIZ7hnUJERCpRyYzB\n",
       "Y8Cs0vKz8zoZDIcBL4E43uWrRURkgOxBuszyfcAPgD8Bu7kmqk6dZwxCdZuKW+Z6g+dXt81JC94B\n",
       "jAXvAMaCdwBjwTuAoeAdwFjwDmCsbb83rYONXARcDeyYlz9AGiTIwGgsgng0qd5gR2j83TuRiIj4\n",
       "+RnwNtLRCXVT5xmDisUGxLMgnuydREREJqySfi8AJ5N2IfwQeDOwShUb7gEaGKyUuCbEpRDf4p1E\n",
       "REQmpNJ+bxrwKuAc4K9VbthRnQcGwWazcbt8PYVn2Wy/Y8H5/a0F7wDGgncAY8E7gKHgHcBY8A5g\n",
       "rJKjEiAdlfAm0nn0XwLo8LWB1fgD8GnS9RRmeKcREZHuO4e0G+EbpKMRpvrGqVSdZwwMxQbEn0D8\n",
       "oncSERFZKZX0e3tSr8FAmQYGExbXgXg7xLqcHltEZBBMqt/bPd+/CXhj6VYs10GdBwbB/i3iThDv\n",
       "hrix/XutIDi8ZzcF7wDGgncAY8E7gKHgHcBY8A5gbFLnMdgFuAR43RgbOn+CoaQ2Gr+BeCJwJsTd\n",
       "oPGkdyIREbHXqvrcuyK9KnWeMeiSOAXiRRBP8E4iIiJtVdLvXd1i3VUt1vUjDQwqEZ8JcTnEV3on\n",
       "ERGRcU2q33sBqZ7gFkbWFhwEXD/ZZD2izgOD0N23i7vnwcEzu/SGoUvv4yV4BzAWvAMYC94BDAXv\n",
       "AMaCdwBjk6ox2JxUX7BWvi88DLx7crmkfhqXpEs0812Ie0Hjae9EIiJi46XeAQzVecbAQZwG8VcQ\n",
       "53snERGRlirp974DzC4trw2cWsWGe4AGBpWLG+dDGF/unURERFZQSb+3sMN1/ajOA4Pg99bxtRD/\n",
       "lE6CZCYYbrsXBO8AxoJ3AGPBO4Ch4B3AWPAOYKySayU0gDml5TnU90yIUonGf5GuxHlqOn2yiIjU\n",
       "yQHAH4G05emdAAAY+klEQVQTgE/m9gGuiapT5xkDZ3EGxAUQP+CdRERE/k9l/d4Lgffn2xZVbbQH\n",
       "aGBgKj4rX6J5O+8kIiICVNjv7QwcnNvrAptVtWFndR4YBO8ASXwLxKUQ16p4w6Hi7fWa4B3AWPAO\n",
       "YCx4BzAUvAMYC94BjFVSY3Ac8FGgOARtBvC9iWeSwdI4F7gY+IbqDURE6uFa0gDimtK665yyVK3O\n",
       "MwY9JM6CeC1EnRhLRMRXJf3egnxfDAxWo7OBwanAPcCi0rrjgGV5W9cAe5cemw8sARYDe5TWb5u3\n",
       "sQQ4sbR+JnB2Xn85sGnpsQOBm/JtvEJJDQy6Jj4f4n0Qt/ROIiIywCrp9z4CfAO4FTiE1Akf3sHr\n",
       "dga2ZuTA4FjgQy2euwXp3AjTgSFgKekwSUgDk+1z+wJgr9w+FPh6bu8HnJXbc4CbSSdlml1qt1Ln\n",
       "gUHwDrCieCDEGyCuVsHGQgXb6GXBO4Cx4B3AWPAOYCh4BzAWvAMYq6TG4PPAefm2OfBx4KQOXvdr\n",
       "4C8t1rfaz7wPcCbwBHAbaWCwA7ABsAbNWYvvAPvm9uuBM3L7PGD33N4TuAh4MN8upjmYEFeNM4Ar\n",
       "ga94JxERkdbGu4hS2UX5VoXDSNP7fwCOIHXeG5JmIgrLgI1IA4VlpfXL83ry/R25/STwELBO3lb5\n",
       "NctKrxkkw94BxvA+4A8Q3wGNyRSxDleUp1cNewcwNuwdwNiwdwBDw94BjA17B/A23ozBb/P9I6Qr\n",
       "KpZvfyX9sn/fSr7fyaRDHbcC7gK+uJKvl77XeIS06+dLEDf3TiMiIiONN2NQXARn9TEeXwf4HfC1\n",
       "lXi/e0vtbwE/y+3lwNzSYxuTfukvz+3R64vXbALcSfocawEP5PWh9Jq5wC/HyXQ6aZADafZiIc0R\n",
       "Y7Gdflwu2r2Sp7TcGIb4Cfj5z2Hd98F9F43//H77fHX/++nzdbBctHslT5XLxbpeyVP1crGuV/JM\n",
       "drloD1GxbYAPkHYDbFNav2Gb1w0xsvhwg1L7g8APcrsoPpxBmlG4mWYtwhWkeoMGKxYfnpzb8xhZ\n",
       "fHgLqeBw7VK7FRUfuokNiOdC/OoENxCqTNODgncAY8E7gLHgHcBQ8A5gLHgHMFZJv/cJUud+PPDv\n",
       "pPMafLyD151J+jX/OKkW4F2k4sHr8jZ+DDyz9PyjSEWHi0kFhIXicMWljCx6nAmcQ/NwxaHSYwfn\n",
       "9UtIhy6Opc4Dgz4QZ0O8BeIbvZOIiAyISvq9m4BVSsuz8ro60MDAXdw+X09hyDuJiMgAqORwxeWk\n",
       "wUBhFUZW/UtvCt4BOtNYAHwWOAvi9JV4YbDJ0zOCdwBjwTuAseAdwFDwDmAseAfwNl7xYXGs+UPA\n",
       "9TQPV3wVzfMKiFThS8BuwKdI1+UQEREn413U5iDSlEPxnNHtM1q8pt+UP5O4is8gnSb7EGj8t3ca\n",
       "EZGaqqTfmwVsCbyIkbUGdaAag54Sd4F4N8RBPCGViEg3TKrfmw58DrgfuDrf7iedInll9gX3sjoP\n",
       "DIJ3gImJx0Achji1zRNDF8J4Ct4BjAXvAMaCdwBDwTuAseAdwNikig8/TzonwGakcxdsAzyLdE6A\n",
       "L1SRTqSFzwBP0dkhsSIi0kVLaT1wmJofq4M6zxj0sbgBxDsh7uadRESkZibV7413rgKdx0CMxT0g\n",
       "LoO4nncSEZEamdSuhBtpfdbAd5LOTii9LXgHmJzGRaQzZX4HYqv/TkN383Rd8A5gLHgHMBa8AxgK\n",
       "3gGMBe8A3sY7j8H7gPNJpzK+Kq/bFlgVeINxLhFIp+O+DPgwqRBWRESMtTuWsQG8AnghafrhBuAS\n",
       "61BdpPMY9Ly4CXAlsC80fu+dRkSkz6nfa0M1Bn0hvh7ibRDX9k4iItLn1O+1UecvKHgHqFb8MsQf\n",
       "pcs1A7X7fCsI3gGMBe8AxoJ3AEPBO4Cx4B3AWCUXURLpBUcCm5BqX0REREzUecaghuJzIN4HcRvv\n",
       "JCIifUr9Xhv6gvpOnAdxCcQ1vJOIiPQh9Xtt1PkLCt4B7MQb4RePQLwc4mzvNEaCdwBjwTuAseAd\n",
       "wFDwDmAseAcwphoDqaV7YepqwA7ArRDfCXGGdygREel/dZ4xqLF4AcQIcQHEt0D8BcTlEOdDnOOd\n",
       "TkSkh6nfa0NfUF+KsyGePXI3QnwxxNMg/hni1yA+1y+fiEjPUr/XRp2/oOAdwFhovTpuAPEEiPdC\n",
       "/AnEXUvnPugnwTuAseAdwFjwDmAoeAcwFrwDGFONgQyaxl3Q+DgwBFwAfAP4A8S3qw5BRETaqfOM\n",
       "gQDpyozxNRAvyZdxPlKnVhaRAaZ+rw19QQMlbgXxjFyH8FXVIYjIAFK/10adv6DgHcBYmPhL4wYQ\n",
       "P5nPovhjiLv0YB1C8A5gLHgHMBa8AxgK3gGMBe8AxlRjILKixl3QOAbYFLgQ+CZwJcS3QZzum01E\n",
       "RDzVecZAOhanQHwtxF9CvAPiR1WHICI1pX6vDX1BMkrcGuJ3ch3CV9KFm0REakP9Xht1/oKCdwBj\n",
       "wXbzcSOIn851CD+CuHOX6xBCF9/LQ/AOYCx4BzAUvAMYC94BjKnGQGRiGsuhcRTpfAgXAd8GFkDc\n",
       "X3UIIiL1VecZA6lUnALxdRAvzXUIH6nxlR1FpL7U77WhL0gmIG4D8bu5DuFEiM/yTiQi0iH1e23U\n",
       "+QsK3gGMBe8AuQ7hMxDvh3gexJ0qrEMIFW2nVwXvAMaCdwBDwTuAseAdwJhqDETsNJZDYz7pfAiX\n",
       "AKcBV0CcpzoEEZH+VOcZA+m6OBXi6yEOQ7wd4odVhyAiPUb9Xhv6gsRI3Bbi93IdwpchbuadSEQE\n",
       "9Xtt1fkLCt4BjAXvAJ2JG0P8j1yH8EOIL+uwDiFYJ3MWvAMYC94BDAXvAMaCdwBjqjEQ8dVYBo2P\n",
       "kc6HMAx8B/g9xLdCnOaZTESk204F7gEWtXjsCOBpYE5p3XxgCbAY2KO0ftu8jSXAiaX1M4Gz8/rL\n",
       "SQVghQOBm/LtgHEy1nnGQHpSnApxH4iXQfwTxA9BXMs7lYgMDNd+b2dga1YcGMwlXdHuVpoDgy2A\n",
       "hcB00i+rpUAx3boA2D63LwD2yu1Dga/n9n7AWbk9B7gZmJ1vRbsVDQzEUdwO4vdzHcKXVIcgIl3g\n",
       "3u8NseLA4Fzgnxg5MJgPHFl6zoXAjsAGwI2l9fOAU0rP2SG3pwH35fb+wMml15ySX9eK+xdkKHgH\n",
       "MBa8A1QnzoX42VyHcC7El1Krz9dS8A5gLHgHMBS8AxgL3gGM9VyNwT7AMuC6Ues3zOsLy4CNWqxf\n",
       "nteT7+/I7SeBh4B1xtmWSI9q3AGNI0kD6V8BF8IlF0G8B+J/5uszvEjnRhCRbuhm8dOqwFHAq0rr\n",
       "unm1urGcDtyW2w+SdmkM5+WQ7/txebjH8lS9PNxjeSpYbmwHLIJ4DbxiVxheD/62L7x6LnAs/HIz\n",
       "+Pkd8OrL0/M+GmHBrTD8Q2hE//yD/vcbqM+n5f5ZLtpD9IghmrsStiQVI96ab0+QOuRnAh/Lt0Kx\n",
       "m2B9Ru5KKO8mKHY3wMhdCeXdDQDfINUgtFLnXQnSt+IFECPEBSNPkBRn5fMjHJRnEi6GeHeuUbgM\n",
       "4lchHpJ2RcQ13OKLSC9z7/eGaH1UArQuPpwBbEYqGCxmE64gDRIarFh8WAwS5jGy+PAWUsHh2qV2\n",
       "K+5fkKHgHcBY8A5gJ86Gs3/Z+VkT43oQd4f4QYinQrwS4qMQb4H4E4gn5MMjX9BDh0gG7wDGgncA\n",
       "Q8E7gLHgHcCYa793JnAn8BipFuDgUY/fwsjDFY8iHY2wGNiztL44XHEpcFJp/UzgHJqHKw6VHjs4\n",
       "r19COnRxLBoY9K/gHcBYmNzL41SIm0N8E8TjIZ4PcSnEv0G8GuIZEI+AuAfEDSq8+FOnQpffr9uC\n",
       "dwBDwTuAseAdwFjbfq8X9vF7iug7kIESVwNeSDoyaMt8+yfS/wuLSIXBi/Ltemg86hRURGy07fcG\n",
       "vVPUwEAkzRasz4qDheeRjgQqDxiuA26BxlM+WUVkktTvtaFdCf0reAcwFrwDpHqE+AKI+0H8JMSf\n",
       "Qrw11y9cCfHbEP8t1zesu5IbDxaJe0jwDmAoeAcwFrwDGGvb7/VKIZKI9JzGk6Sjgm4knX48i2sC\n",
       "L6I5u/DGdB8fY+SuiOvSaxt/72psEZmUQZ9O0JSKSCViA9iYkbsitgSeC/yJkQOG/UgnInsUeBs0\n",
       "HvRILDKgVGPQhgYGIqbiDFKtQnmwsDvpqCKAh4GrgXtJ5zkZfZ/bjUe6m1uktjQwaKPOA4NA8wxY\n",
       "dRTQ5+tT8QIY3hvCNaTzkcwinehsvVH35XZk7MHDqEEEf4bG0938RC0Eavv3q/Vng/p/vrb9nmoM\n",
       "RKTb3gb3ng+8sbPdCLEBrEbrwcNzgZ1GrVsjXZCqo0HEvdB4vMLPJtL36vpruVN1njEQGVBxBrAu\n",
       "Kw4iWs1ErAs8QmeDiHvScxt1PppJ6k8zBiIyaBqPk86/sLz9c+MU0qnTWw0itmmxbmq66uW4uzX+\n",
       "FdgE+DvwEVIdhbVuDVaOJ522/u/AEXTns3XTv5POotvtz9etv98JnfwWHvRfy3WeMQjUez9ZQJ+v\n",
       "nwX68vPF1Rh7JqK43x6GV82Hwz9MRwOUSenmv2GbwPCs0me7q4vv3Q1zR32+u7vwnt38+20MjVW6\n",
       "/J59p85TgsE7gLHgHcBY8A5gLHgHsBMvgEtbXB2zDur82WAwPl+t+71K6AsSkYrF2RDPrmnHUuPP\n",
       "BoPx+dTvtaMvSEREBknbfm9KN1KIi+AdwFjwDmAseAcwFrwDGAveAQwF7wDGgncAbxoYiIiIiGTa\n",
       "lSAiIoNEuxJERESkcxoY1FfwDmAseAcwFrwDGAveAYwF7wCGgncAY8E7gDcNDEREREQy1RiIiMgg\n",
       "UY2BiIiIdE4Dg/oK3gGMBe8AxoJ3AGPBO4Cx4B3AUPAOYCx4B/CmgYGIiIhIphoDEREZJKoxEBER\n",
       "kc5pYFBfwTuAseAdwFjwDmAseAcwFrwDGAreAYwF7wDeNDAQERERyVRjICIig0Q1BiIiItI5DQzq\n",
       "K3gHMBa8AxgL3gGMBe8AxoJ3AEPBO4Cx4B3AmwYGIiIiIplqDEREZJCoxkBEREQ6p4FBfQXvAMaC\n",
       "dwBjwTuAseAdwFjwDmAoeAcwFrwDeNPAQERERCRTjYGIiAwS1RiIiIhI5ywHBqcC9wCLSutOAK4F\n",
       "FgKXAHNLj80HlgCLgT1K67fN21gCnFhaPxM4O6+/HNi09NiBwE35dsDkP0pfCt4BjAXvAMaCdwBj\n",
       "wTuAseAdwFDwDmAseAeos52BrRk5MFij1D4M+FZub0EaLEwHhoClQCM/tgDYPrcvAPbK7UOBr+f2\n",
       "fsBZuT0HuBmYnW9Fu5U670r4N+8AxvT5+ps+X/+q82eD+n8+110Jvwb+Mmrdw6X26sD9ub0PcCbw\n",
       "BHAbaWCwA7ABaTCxID/vO8C+uf164IzcPg/YPbf3BC4CHsy3i2kOJgbJWIOhutDn62/6fP2rzp8N\n",
       "6v/52prm8J6fAt4J/J3mTMCGpN0BhWXARqSBwrLS+uV5Pfn+jtx+EngIWCdvq/yaZaXXiIiIyDg8\n",
       "ig+PBjYBTgO+7PD+g2LIO4CxIe8Axoa8Axgb8g5gbMg7gKEh7wDGhrwDePOYMSj8gFQzAGkmoFyI\n",
       "uDHpl/7y3B69vnjNJsCdpM+xFvBAXh9Kr5kL/HKMDDdT7zqDA70DGNPn62/6fP2rzp8N6v35bvYO\n",
       "MMTI4sPnltqHAd/N7aL4cAawGSl4UXx4BaneoMGKxYcn5/Y8RhYf3kLaT7R2qS0iIiKOziT9mn+c\n",
       "VAvwLuCHpIHCQlLB4Hql5x9FKjpcTCogLBSHKy4FTiqtnwmcQ/NwxaHSYwfn9Uuo98hPRERERERE\n",
       "RKq0F2lmYglwpHOWqrU6sVSdzAUuBa4H/hc43DdO5VYh7T5bCNwAfMY3jompwDXAz7yDGLgNuI70\n",
       "+RaM/9S+NJs083sj6b/PHX3jVOp5pL9bcXuIev37Mp/07+YiUo3fTN84vWUqabfEEOmESguBF3gG\n",
       "qlirE0vVyfrAVrm9OvBH6vX3A1g1308j7SbbyTGLhQ8B3wd+6h3EwK2kOqe6OoO0WxiaRd91NAW4\n",
       "i5FF8f1siFRvVwwGzmac3eyDeK2E7UkDg9tI50k4i3SCpbpodWKpOrmbNJgDeIT0y2VDvzgm/pbv\n",
       "Z5AGsn92zFK1jYFXk8562mjz3H5V18+1FumHx6l5uTh/TB29klQEf0e7J/aJv5L6u1VJA7pVSUfw\n",
       "tTSIA4PyiZFAJ0DqZ0Ok2ZErnHNUbQpp8HMPabfJDb5xKvUl4CPA095BjETgF8AfgHc7Z6naZsB9\n",
       "pHPQXA18k+bsVt3MI02318WfgS8Ct5MOCniQ9N9pS4M4MKjzeQsGyeqkfZ0fIM0c1MnTpN0lGwO7\n",
       "UJ+LurwWuJe0/7auv6pfThqs7g28j/QLuy6mAduQrlGzDfAo8DHXRDZmAK8DzvUOUqFnk64BMUSa\n",
       "YV0dePtYTx7EgcHokynNZeQplKX3TScd7vo94MfOWSw9BPwc2M47SEVeRrrGya2kw5lfQbr+SZ3c\n",
       "le/vA35E87TvdbAs367Myz8kDRDqZm/gKtLfsC62A35HOgngk8D5pP8fJZtG2nc0RBoZ1q34EFY8\n",
       "sVSdNEidyZe8gxh5Bs0Tcs0CfkXzAmF1siv1OyphVZpXkF0N+C0jLyFfB78CNs/t44DP+kUxcxb1\n",
       "O//Ni0lHcc0i/Rt6BmlGS0r2JlWzLyUdwlEnxYmlHiPVUhzsG6dyO5Gm2hfSPKyoTlfP3JK0/3Yh\n",
       "6bC3j/jGMbMr9TsqYTPS320h6R/huv3bAqmDuRK4lvSrs25HJaxGuurvGu2e2Ic+SvNwxTNIM68i\n",
       "IiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiItI/itM0bwrsX/G2jxq1/NuKt1+1g4CvVLzNLzDx\n",
       "U0XvCrx0ku8/RPUnEZtJOoHQIJ6RVnqI/gMUsVFck2Mz4G0r+dppbR4ffeKcl6/k9rttstcnGf3v\n",
       "1Bqka0gMT3B7u7Hyp4Nt9zepwmOkq6Pu24X3EhGRLns4319OupLZNaQLPk0BPg8sIJ097pD8vEDq\n",
       "FH4CLM7rfky6St//0rxS33+QznV+DfDdvK6YnWjkbS8inTXxraVtD5MuCnMj6RoTrQzn7V9BOjPo\n",
       "Tnn9QYz8xf9fpI65eO/P5YwXAzsCl5FOO/66/JwD82e5FLgJ+ERpW+/I73cNcArNQcAjpFmBhazY\n",
       "ib8D+HRpeXfS2SKvA75NOtU5pEurz8nt7fL7b0q6nsGy/J4vB9Ylnfd/Qb4V73cc6Tv+DfD9URmG\n",
       "aM4YrEK64uB1OUdos/4g0t+51fexA/W6eI+IiGTFwGD0NQEOAY7O7Zmk08sOkTqNR0gdV2HtfD+L\n",
       "1AkVyw8zUrH8JuAi0gBhPeBPwPp52w+SrqrWIF1MpdUsw6WkgQWk04ZfnNsHMXJg8DOaA4OngT1z\n",
       "+/z8/lOBfyJ1vMXr78z5V8mfZVvSNUp+mp8P6ap97yxt980tMgKcDLwxt1chXUr2OXn5DNIADNLF\n",
       "mkYPDACOBT5U2t4PaH4fm9C8zPVxpL/PzBYZhmgODI4AvpXbzyN97zPHWX8Qrb8P8uPLW31okW7p\n",
       "xvSYyCAbfXnhPUjXQyg6vTVJndqTpF+rfyo99wM0p5XnAs/NzxnLTqROLpIub3wZ8BLgr/l1d+bn\n",
       "LSR1bK1qE87P91fn57TzOPA/ub0I+AfwFGkGofz6i4C/lN5jp/y8bUmzIpAGQHfn9lOkK2i2Uvzq\n",
       "h9Th3kq67gk0Lw5zYpvc5b/LKxl5IbU1SOfMj6SBy2NttvVy4KTc/iPpb7j5OOsjrb+Pq/J7TSEN\n",
       "GP7R5n1FTGhgINJ976f5a7wQSNe3Ly/vTpqa/wfp1+4qbbYbWXEgUuzfL3duTzH2//uPtXjOk4zc\n",
       "z1/O8USp/TRpoFC0x3qPRinXGaxYTAnpM49XmzBWfVR52+Xc4313DdIU/uMtHvvbOK8bvY2VWT/6\n",
       "OU+PWp5sXYbIhKn4UMTWw4y8Utv/AIfS7DQ3J12ud7Q1Sb8o/wE8nzRAKDxB607318B+pP+v1yVN\n",
       "9y+gs85pPLcBW+XtzAW2n8A2XkWaOp8F7EPab38JaeZk3fycOaSp/HaKXSSQfokPAc/Oy+8kzZQU\n",
       "ubfL7TeVXj/6b3IRcHhp+cUdZCj7NfD23N6c9BkWj7O+wYrfRzF7M5M0KGs3SyFiRgMDERvFL75r\n",
       "Sf/QLyTtGvgWaR/21aSp95NJnXxk5K/EC/P6G4DPAL8vPfb/SAVtRfFh8bof5fXXkjrdj5B2KYze\n",
       "Ni2Wx/sMvyFN199AmqK/apztxBbtSBqgnJez/ZD0+W8EjiF1zNfm+/VbbGe039Ds8P9BurT4uaTP\n",
       "/iSpiBHg+Jz3yry+2ObPgDfQLD48PG/vWtJlad8zzudr9Vm/Tvq39DrgLFKx5RPjrB/r+wDYmpF/\n",
       "axEREWljdVJn368OYuzzOnyaNGgRcaMZAxHpN4+Qai528w4yQa1mcCDtRtiJdGiniIiIiIiIiIiI\n",
       "iIiIiIiIiIiIiIiIiIiIiIiIiEi/+v+Dm8BNNEf3BwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa79265a350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Outer loop: 9 iterations\n",
      "\n",
      "Z in [-0.174222588539, 1.03444206715]\n",
      "Sparsity of Z: 3,716,594 non-zero entries out of 19,072,000 entries, i.e. 19.5%.\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfEAAAFCCAYAAADhbOSmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJztnXnQLUlZ5p8LFxAEaRoNGrpbL6IoEICiIrj1ByOIqMAs\n",
       "AoYigkY4476ggMbYt8NwBlHHZRxkVGjbBbRFZOgJFNDhgisgWwNN2zSKCshVQXAXsM/8UVV98773\n",
       "3TIr65xT5z6/iC9Onapc3szKysx3qfMBhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBC\n",
       "yN7zCADXA3g7gKfuWJYaLgXwCgBvBfAWAN8ynr8QwMsB3ADgZQAuKPI8HUM7rwfw8OL8ZwB483jt\n",
       "x4vztwHwK+P5PwTwCb0b0cAtAbwBwDXj90Nu7wUAXgDgbQCuA/DZOOz2Ph3DeH4zgOdhkO+Q2vtc\n",
       "AKdH2Sa21b4njnXcAOCr5zclhdbeH8Iwnt8E4IUA7lhcO8T2TnwngJsw3O+Jtbd3L7glgBsBnABw\n",
       "KwBvBHCvXQpUwUUAPm08vj2AP8Yg+zMBfPd4/qkAnjEe3xtD+26Fob03Ajg2XnsNgAeOxy/BsLEB\n",
       "gG8A8Kzx+HEAfrlzG1r4DgC/BODF4/dDbu9VAJ48Hh/HMOEdantPAPgTDBMVMExWT8RhtffzAXw6\n",
       "zp7kt9G+CwG8A8MG4YLieGm09j4MwC3G42fg8NsLDArXbwL4U5xZxA+hvXvBgzF07sTTxr818iIA\n",
       "X4hhV3eX8dxF43dg2PWVlobfBPAgAHfFsDOeeDyAZxdpPns8Pg7gr7tLXcclAH4LwENwRhM/1Pbe\n",
       "EcOiJjnU9l6IYSN6p1GWazBM+IfW3hM4e5LfRvu+AsBPFXmePebbBiega6YA8O8B/OJ4fMjt/VUA\n",
       "98PZi/jet/cWcZK94GIAf1F8f9d4bm2cwLADfDWGCeH0eP40zkwQd8PQvomprfL8u3GmD8r++QiA\n",
       "D+Jsc9C2+VEA34XBLDVxqO29O4aH9EoArwfwMwA+Gofb3vcD+BEAfw7gPQA+gMHMfKjtnVi6fXd2\n",
       "yto1T8agaQKH295Hj/VfK87vfXvXsohvdi1AB24P4NcAfCuAvxfXNjiMNgLAlwL4Kwz+8GNGmkNq\n",
       "73EAD8BgPnsAgH/EuVaiQ2rvPQB8G4YN6d0wjOuvEmkOqb0ah96+ku8F8CEMsQ+Hyu0AfA+Ay4tz\n",
       "1ty1d6xlEX83Bn/FxKU4e0ez79wKwwL+CxjM6cCwm79oPL4rhoUPOLetl2Bo67vHY3l+yvPx4/Hk\n",
       "k31/P/Gr+BwAj8Jgkno+gIdiaPehtvdd499rx+8vwLCYvxeH2d7PBPD7AN6HQct4IQZ316G2d2Lp\n",
       "8fs+paxdz3NfA+CRAL6yOHeI7b0Hhk3pmzDMW5cAeB0Ga8shtncnHMcQBHACwK2xrsC2YwB+HoOJ\n",
       "ueSZOONreRrODRy5NQZT7TtwZlf4agy+lmM4N5Bi8rU8HrsP9Jq4DGd84ofc3lcBuOd4fBJDWw+1\n",
       "vffH8JbFbTHIeRWAb8ThtfcEzg1sW7p9F2KIr7gAQ8zBdLwNTuDs9j4CwxsIHyvSHWp7S7TAtrW3\n",
       "dy/4YgwBNTdiCDZYC5+HwTf8Rgwm5jdguNkXYgj+0l5Z+R4M7bwewBcV56dXGm4E8BPF+dsAuBpn\n",
       "Xmk40b8ZTVyGM9Hph9ze+2PQxMvXcQ65vd+NM6+YXYXB0nRI7X0+Bn//hzD4Np+E7bXvSeP5t2OI\n",
       "+t8Gsr1PHuv/M5yZs55VpD+U9v4rztzfkj/B2TEYa28vIYQQQgghhBBCDpa1/iobIYQQcl6z5l9l\n",
       "I4QQQrbOPr1i9kAMi/g7AXwYQ0Tfo3cpECGEELLP7NMifii/ykYIIYRsheO7FqAg8wtI58uvJBFC\n",
       "CCEAgMsuuwyvfOUr1V+R26dFPPVrNpdffuaX8Y6OjnB0dLS4YBbHjp3p081mc/O5zWZz86dMq6Ur\n",
       "z5ecPHkSJ0+eTNVfymGVacmwL0TtPTTm9H9rXiufHLdR+VE5Gtr9zcqTaVNW5vI5sJ5hea4so8yr\n",
       "5ZmuT+2V5XnPoTUvWPOJrFPKmOmfaL6wypayXn755Wfd30x9Wr9FcknZLNmtc157rete/7eOPa3s\n",
       "6fjUqVM4derUzWmuuOIKs+x9WsT/CMAnYwhsew+Gf+H2FTLR+TTJE0IIOf+QCqq3iO+TT/wjAL4J\n",
       "wEsBXIfh/xS/zc1RIHdm2k51G2S0BiudlLm8cceOHbv5ulWG3NmW6bU8Zfpd9dcSrKkt5b3Rvk/n\n",
       "yk/tmld+iab9eFqdrN8bv955rb6M9qJ9yutTGVJbnOSd/rTnY7PZ3PynlZmRzboH2sQrtVBNC5vQ\n",
       "nlXrXmlWBctqUMqiySPrqbXulZ+yHuueW1pxZrzWlOfhXdfm2tIqbOXV5m3rmjXeo2d8nxZxAPgN\n",
       "AJ8C4JMA/Pcdy0K2zC5dI2R5eH8Pm/Pt/u5Le9ejsgxsvB2P58NYgsh35vlQ5HnLj+75orRyI83L\n",
       "8wPtk398DmtpS+RzLNNp973Vd22NTU9ji+I3asjIbo3jzDOuad1lGfKcVq/XFxk0n7Eli+cb92ST\n",
       "bZD9mi1PK9Nqi6zHk0FrpyajV4cme0YTl1hzqZW2pVyvLInX3+V1kU7NcDCLuCQzkXsDqjfRhJV9\n",
       "QOQ5K/8cGbJ5Mtd756vJv4bFPDOJLV1/y2TV2v/eOAPsxa91oxnJnZWxpi1WmrmKhjc/td5HeT5S\n",
       "KrT6vfmzdT7KUruxK9shZW2tsyZNzRhQZFbX630zpxNCCCEkycFo4ktpLp7pzzMnza2zLNM739N6\n",
       "0LsPt1HeGrTtiJo27FN7LZPpkvXNtd4A/rOaOVer9bZoZZGGVrajNz3HWIslJJJlyTm2taxeY8ar\n",
       "A9TECSGEkMPiYBbxbWknx46d/VpGuXPO7J698iamcjPnW3xqkUy96H1PtPL2RSttQdNkvXRT2iVl\n",
       "qWWSZ844rK0rU055TdPAszJpz3TtPbDSe+V6dWStAL1oLUtaFjS/dDT2NWSZLfL2fI4y81LN2K3l\n",
       "YBZxQggh5HyDi7hCtCvXdlnRzs7bjVu7UblrtXav0vdiyW9F/EYy1rC0dn9IzNG8yvuc1UgjWeTY\n",
       "icrPjh9ZrqcRW/mt+i28Z8fzX2qaYiuZCGbru9X3vS023rxTfm/VeMsyrNiJTKyRV6Z23iLqv/JP\n",
       "yxPdj5rnrRdcxAkhhJCVwkVcQdsletr23F17tHuTEa7lLr1Wm7F8Nb006DX7qLeNZ/HJ5GnxR3vl\n",
       "yjGeKT9Td4vGJOWK0tTKp2nfsjxL+9SsIN4zmbWaZOT3rG6W9cFri2Xl8eTQLIIZS2KZx+uvyH8c\n",
       "tctiaq83X09j1bIUtFpcPSuLNaaycBEnhBBCVgoXcUIIIWSlrG4RbzFBLlFfea00EVmmn8zrEFmz\n",
       "oDT5lGXLc5HpqkcAz75gmTj3FRkwNN2fjAm4PBfVoZUTHWfSZ4meCc9s7ZlsrbGbGe9WeV4fly4H\n",
       "aV7Wgr/kc6nJlelP7xm2XreS7bBMx9q98Nx2lllYM53XjpuWPsm+oubJKsuyxqQlm/YMa99l/2qu\n",
       "Wk2OqH2rW8QJIYQQMrC6RXzbGmM2qEfTjrX01vnMa2qeHNGPC2jpPK1vjWg73H0nG9wl0/ZqYyZo\n",
       "pyawZ0LTFrVyM0Fvc9pq1ZGpMzOeIjmtciKZrGvZ/soGrE5zUlYeLehLS+cFq3ltm4iski1jcson\n",
       "nyftHlkyaLLLMrNrRsaCkGnb6hZxQgghhAwc7CLu+cLm5q0pq9zhWZpvxu8R+eY1f3BmVxj5G8ly\n",
       "yL6PNGHrPmfq0Mqz5OhBRhOMfOKa77IWqw6rLM/HbJUt02TnDzkfZHzInp9dpoksbZYPXMogLYjW\n",
       "eXlNtq3G32zJnZkrNaTm7t0jTyvXPr0+lDJk2hhdkxzsIk4IIYQcOmtTtzaeRjuxK1+vV6+nbWn5\n",
       "lmijtoPu7SPfVt8fij9/Tjt6j5EyMnbCGpc1dfeQM3q2NK3JOhelt57V2me4Bc9at6vx3lp3ZGHK\n",
       "pFuyP7RxkBnbZXpAn0OtsufICmO9piZOCCGErJTVaeKAv0PutONJaSTW+dZda7Rzs85JOSKNe66s\n",
       "a+HQ2jdHo/U0mpLyGVra4pV9vjR5arUlrayofA1Zv+cfjp4/rR2WVUCroyafhWZ9Keuy2pix0Fhl\n",
       "Szm19NZ9ju6bJpP33Wqr1UaZ3mpDVgavfC2JdpKaOCGEELJSVqmJA/pOrsTzTUz5s74wr56IjJUg\n",
       "s0Msz0sZs1aBFk1tX6iRb9/bIol8cxmrTEaTqJUlo3lE+Vvumach1fowW7T4jC93qTGW1dS8/FGa\n",
       "TJ297mPWWlIzvuf2+1xraXYez9RVuSZQEyeEEEIOCS7ihBBCyEpZpTl9X4K0asx4GdNoi/k7Kq+k\n",
       "1tRDtkvWLbIGtiFzjStNew4n5rqcvGe9LN9zCdS20wp4m+tC8a5brkgvmC07R2WDy8r8XvleGyJX\n",
       "ZItLyhsbJTWuEKU/aE4nhBBCDolVLuJa+H1mF7REvVa6SZ7yU+Yvv2s7uSnPlK78lOVrZW42m7P+\n",
       "tOst7ZuLVc+c+mVftpY9J28t8r5mdum18nhjLkpbc74cp1q62j6c8mjjP5s/CrAqnwuZV0N7hmR9\n",
       "1rXpeq0WLustx0qZN9JYrf60NFOt/vJ4ql/ml9c1WbzyWywTNX0o+7JsR5nWmjO98mW/avVm5YzO\n",
       "laxyESeEEELICn3iu/J7t/i0ZRog96Mx2fIyvievrn3zte6bPEuTGVOHTq92Ss0b8DW86FnI3BNL\n",
       "2/f8o9H5qJyMTzfKmx1vmXkok1/KaR1nyy2vaXmjfm6Zy7P3PkttnrGt9IkTQgghh8QqF/GM37KX\n",
       "H1PuyjyfheZD8XaLnk8m2qlFvinLhyp9Sdvyg2eYK88+tSWDd5/naqc1MQCt/vaW8ss6WvzzVjla\n",
       "PElZv6ZFec9C7T3J+E+t/Bmt3dNYpezRmMq2rWYMRnLJeU7zndeMC+0eRnJ7z1tkEbDGh9TIo2cp\n",
       "qqeFVS7ihBBCCFmhT/zmA7GravEr1vp8pnrlufK8JcdZjXD8MBraLt/y7Xh1ebvAJXaIllzZPm+t\n",
       "by0+Zs9H593Tksj3N6XJaCDaPbLqrPEpW9cy/k5ZZ6acbN+VZWv11vRJFquMyFcrZZN5ItllvrLM\n",
       "bF9pMlrjwBp7mTrKdNF999pjYfVTbb4oXe2crskki9ZOUhMnhBBCVsouFvFLAbwCwFsBvAXAt4zn\n",
       "LwTwcgA3AHgZgAt2IBshhBCyGnZhTr9o/HsjgNsDeB2AxwB4EoC/AfBMAE8FcCcATxN5N0uZYnuQ\n",
       "MQ9mgliissrrrS6BVlPUvrAmWT1q7p+Vd9/kssqyrgH93TiyTMtsKdNHLhlL1uzzmpG9pfxM+ug+\n",
       "ZK/VtAXIm6ktV1LkWmgdOxn3TGuf9WZs796Y09+LYQEHgH8A8DYAFwN4FICrxvNXYVjYCSGEEGKw\n",
       "a5/4CQCfDuDVAO4C4PR4/vT4XWVfNLBMEFl5nAlW0cqay7Fj8c8Ark2zXZOsHuX9KO9TTd4eTPVG\n",
       "46QFr4zNRn9NqEed1vMp68vW78mq3b8WbbHGUlcb8Nhbo5RjxpJDu26NN+/YKr9G1ulYa7Ocv2v6\n",
       "xeqDqRyvD2RaTV6P4ykJl+H2AH4NwLcC+HtxbYMiEr3k5MmTNx8fHR3h6OhoGekIIYSQHVGudR67\n",
       "esXsVgD+L4DfAPBj47nrARxhMLffFUPw26eKfJt98E9o9UY+au88UK/xyNcsJrxzh6K9HhreKzNW\n",
       "+kw6ry6t7t6avWd5qnmdJ5Peq1O7bmnJUb1avhrriYWcO7TznhzZV7Iymn4mfsBrg9WeKAZBq8ub\n",
       "MzX5ZBqrH7x6vL7UyorSeX0V3XdZnFbWLszpxwA8B8B1OLOAA8CLATxxPH4igBdtWS5CCCFkVexC\n",
       "E/88AK8CcC3OmMyfDuA1AK4G8PEA3gngsQA+IPKamvi2mBPhCeR2jDV1WbvajBZE7Xy31Grg22Rb\n",
       "Y2OJeuZqReV5qwwvitmKci7LzGjFGcuCJouV15sfatLX5rdkj8Z+Zj618np1lvmtdmUtq1ZZWjuj\n",
       "PrTOF21VB/AufOK/C9sC8IXbFIQQQghZM6v72dUltYMlNaKsxhHtUKMd77a169b65sqZyb8WS4Ol\n",
       "uUW+wZ517yJfNG5r/Oc1vvBauXv1e1YbW1KOGgtAjzmr1XKZZa6Gu9TYr4k/iKwB0zH2yCdOCCGE\n",
       "kA5wESeEEEJWyuoWcS045dixc1+St4JYPDabM//ztixHliWvlX9e2Z7s0hQ1ySLTyXKsc/J7+Wm1\n",
       "pYVM4E0N2TzZgJ8eMi1FeU+B3A9eePewhXK8W+Vo52uCieT41samVV6ZXsun5fXGvtaX1jMgnznr\n",
       "utXWqI3e+NTmGGsOkem8e6nNKdN5azxa/aTNWVZbrPZ4bZd5tTIzfSrL8saCVqd3Prr/c+fXTL7V\n",
       "LeKEEEIIGdgftSTHooFtLZQ75JZgkJ4ylN+B/XplaSl69iNpZ4n7EAUBLSGDpSG2BCMtzVJ1RfOH\n",
       "V691LZonW8rszZJzcmsdwgLDwDZCCCHkkFjdIt7TJxj5N6K8mv8ou8vK+Gs9GTzfksyf7Z998hdL\n",
       "Mj6+Q6PFn+b58+bIENH6qo73XfpkszJkfapaWk1GWa4X32L5/GU677qX3jrX855b5WQsfFH8htTG\n",
       "rXxlnVGZ2TZYPm05j0bzbuacxRLz1eoWcUIIIYQMrG4R13YyrbsbK7Kx3CnKXWGZtkxv7fSyZCIt\n",
       "vfplOeV1LwrTq6+FpbT+Q9a4LbLWHam1tMZHaOM9ioj2vkfnPRmzljCNjJUr0git515LJ8ss64zm\n",
       "q+ybB+WndU8zdVvIe++1pVZTlXVkxrX3tkKmLiuf5of33liI6rGeAeuNhoiWe7i6RZwQQgghA/vr\n",
       "BNXZWnR6ZhdkaRCeJmDtnqOIWEs+S8PQ5CrTyDpqd+5kt2Q0bO2eaj5GS9v28taMFy9fRqvUrlvl\n",
       "e3VM5VjapvU8WXJ5VgpP09e+R/cg6xvWnv+y/Kg9VvmZuIDsHOaVodUVyZatW/Zz5rrVd9Y91Nrq\n",
       "zdNeHyjnGZ1OCCGEHBKr08SBvH9vjma5hGZq7ZBb8nrpan1ha9PA1yJzqzWnR7k1eZfsT02T8c55\n",
       "eSONW8sH1MdTZK1gXp0TS4/TbF9uQwZLLsDWVi25t9GGHvVZWvt0rqesoCZOCCGEHBZcxAkhhJCV\n",
       "cnzXAszBM9F5wQZafknWZC/zWOYtq47MKwhlezSTvJTZK1O2K2OebMUrb05d2TJ3bXaPxqC8T5mA\n",
       "m+zYzsqUCebJjHOr77OyWgFXmefDKl8+M5m6M89teS0KYMs+32Xd3jMeyS7bEQWBZdtrySixyovy\n",
       "yTLkcSboLlumzGc9h1q9cjxH5vhM/2vXM/00QU2cEEIIWSkHG9jWgyUCFGrqiAJ3suczdWXy98qz\n",
       "LfZZNiB+9ac10GbXbc4G9EUWh+kckA/o7Nlvcyx5S93TOXLWjre5fbprLOtQzbweWZq2BQPbCCGE\n",
       "kANkdZr4Ej7WQ8PyS7F/dstcS8mSbDMeIpsfmNcXczXfuZYpy7JQq9Fl5eh5D2vl8rT9ubExS1il\n",
       "etUbjZUaGSLLAaiJE0IIIYfF6hZxK2pvLVpmTdTh3LK1KEqyOzIR2tkI195kNI6e5WXyZ6KmNWTk\n",
       "uHbNKtd7Zmoizcv65bladvHsZurU2qX1XeuYjuKFauSb0tfEWGTIzK+ta1Z27l7dIk4IIYSQgfN6\n",
       "Efd26S3558qhyVNTxyFr29vQRg+B2jGzz2Sfz5b2Ws9ctmxLi2+VJyPD3PkqKr9HusjSka1nWzFO\n",
       "2vMy1b3tt6BaOa8XcUIIIWTNcBEnhBBCVsoqF3FpXipNIrUmrTKvDITJmCanNOWfl9Z73cD7LuvS\n",
       "6i7zefm9dvSkp8kxE2TUOgZ2RW2fW+nLMSDNgJnxEI0hrQzLDKl9l2m98ZuRW5aZCVLyzLxlXWUw\n",
       "nTe/SPm9NmdN8pn5TN5rK683V8g6p3nPGwfRvbSonR+tc7JOKXO2TJlPBk9m74FVhyaT9zOr0RjI\n",
       "zBGrXMQJIYQQgvX92AuwPz+7Wu4IW3+MQasjKlfbQUY/q1jTnhpa8mTK6lnuvuLdr9b270O/9R4T\n",
       "QP+fXdU0WU1jyvycaVaG2ufZul47VqRc2TJq+1TmLdthtcEre+448u5PKZuWJ+qz6J61tiGYu9X1\n",
       "mpo4IYQQslIOYhH3fCmt5UX+EuDcl/GjOrUd1uTD1Hwocuen7fjK/NqPW0h5Pd/yNn+IQpMz2iX3\n",
       "YM646Emk5WRjJ+S5nv1m+QAjebRx2/qMZttTPjORj1Km054dK7ZgjqzWdXleky1TrubPLa9b84qs\n",
       "08on8fpEm9e09tRaDGueX6tfLdk0Ga05XloSsmtAyxoRcRCLOCGEEHI+sh9qSZ7Nrv19WSK/9Tbq\n",
       "rtHQ9sGXer5jaSBLxR0sVccS5fWUYY6vt0f92etLpVsSrW9b/O37MB57yNCrHfvqE78lgDcAuGb8\n",
       "fiGAlwO4AcDLAFywI7kIIYSQVbDLRfxbAVyHMeIcwNMwLOL3BPDb4/cQz6/RSmuZluZb+kwsP5tX\n",
       "p+dX1NLKeiNtQMqVpdX/U+tjrcXzv9bInM0zB88PW573ZPLktPycXh2ZcqM0pRY2xyceyRHFgGj1\n",
       "b8MS5tVfU8ZUjna+pTwvXqDHONfmOW9M14zHHnKVRPOv5ufWfPzyuzfWlphLdrWIXwLgkQB+FmdM\n",
       "BI8CcNV4fBWAx+xALkIIIWQ17GoR/1EA3wXgpuLcXQCcHo9Pj98JIYQQYrCLRfxLAfwVBn+4ZVvY\n",
       "4IyZ3cUK7Z9jjsmaeKSpW74aYqWbzpXmNqtsaRLXTHNaGbWmshYzT69XamrKlGTljsx3Wv3ZPK1o\n",
       "YyYyXde+ChSZ87zx4ZUr3TBWPZpLJ+PCyZiho/6Q5zL9LJ9V7TmS+b10smx5TXtGIzeUVZ9MJ/tJ\n",
       "9o32GlVN+62+iNpotVnrU6s90fjIzAtR4J1MJ4+19NZ65N0rry8z7TgepujP52AwnT8SwEcB+BgA\n",
       "v4BB+74IwHsB3BXDQn8OJ0+evPn46OgIR0dHiwpLCCGEbJNTp07dfFyueRq7fsXsMgBPAfBlAJ4J\n",
       "4H0AfhBDUNsFODe47ZxXzLRd1D5i7ewyWkmm3KjMUmtZQ38dOuU9khrlLl4n2ua4yIzF8lqtbNny\n",
       "gdhS4VkYpIwyX831THssObf5SqJl/ZByRDJo96hG7pZ5M3rOPFks2bz7IK9PaaKynHutrtf78GMv\n",
       "k8TPAPAwDK+YPXT8TgghhBCDXWvitZyjiVtkdnXaLqrHbrBW683uzDxtXpM/u5uMZFhCQ5tb7r7K\n",
       "Nae+uVaZbZJ9vlqeJatPWu6NpcV6fe7l0bS5Ws1qDtbc0svS5skctSfT3rlzYiuWVaR13u+VtqY/\n",
       "sMeaOCGEEEIaWN0ibkU2lteB3O5Xi5ydu4v1dsSaH8mLwNRkm/7kblJqBtbO04p2zPi5erKktpmJ\n",
       "6LTYpRYs73fEnHZqZWlj0IqQtcaLTBPJWY7VKb3lt6zRfuSYL58zrfyyreV1+Vxp7ZP1lHnK51Gm\n",
       "tWSP2uO12+vzzPxT3gftmie7HL9lf2h9K9PIdkT95o1PTbbs2qCtMfJY+26dK89HebS1LWrf6hZx\n",
       "QgghhAwcjE+8lw9F83Vt209aQ9bnss9taMHzQ7b4uXZJ7T2qbZeXXuuvHv2maT2WH9myWnnaU+b+\n",
       "W+W1+DNr82kyt+L1T5Qne397jRHvPLCbNy+0cjXrQo1s1tiQ5UTfK+WlT5wQQgg5JFaniQP59/ui\n",
       "3V9ml5TREs4SsHIHWaMhRLvAqF3Z3XsvWnb8wDqis3vgtdfSfqL0rfcwulcZDWOSLauNRBpejQ8z\n",
       "84xG7dPSeflr5GlF1r8Ly9ucsjT5y+9Rnb3mBDlX11gd5HG2vh5zrugHauKEEELIIcFFnBBCCFkp\n",
       "qzOnZ0wsNSaM3mYbr/4aM3eNKbM8L9tQG1gx1wy3jWCybbsFlqqj9b7WmOrKfLXyeOeXDlSqcR20\n",
       "lt/TrdMS6NV7rmlxP2zjWdHqB/r8KExv9sUNIfPTnE4IIYQcIJlF/NsA3BHDLuA5GP6F6BctKZSH\n",
       "tYvTAia0wDN5fTrO7F6zaLJFgTbT+fK6zDf9RbKV6Wq18LlYQUGyfS11ZTUNT5ttQcvbOwAwKrMc\n",
       "A5EGWeZpGdfyHllBnDJtto+tsS5ll+XKfrKeXe0ZKo+1Z7FMX/ab9tzJc5pFRX56z4LVP9p5Wbc1\n",
       "1r06yzxS7pr7WObR6vGul+M5Kt86p+XP9qknl5fHq0OmzcxD1jNQcw8yi/iTAXwQwMMBXAjgCeA/\n",
       "JyGEEEJ2TmYRn7YEX4Lh/36/ZTlxYizNotZ/NeXJ7q68HW90btrZWzv2cuev7ZKzvpXIqpDRqHpq\n",
       "mFpbspaP3sypb2lZs5aFchxp+TQLVMu4lvdIG3/eeI3qyOZt7XerjzJjULOWSYuGPGe1T6a3vmsy\n",
       "RO2bsKxE2XthWQY1MnVpfaz57KXFwyIan1HfR+clXn9Elp+MVcCTN/MsaWQW8dcBeBmARwJ4KYCP\n",
       "AXBTugZCCCGELELG8H5LAJ8G4B0APgDgzgAuBnDtgnJZbGp8vD3R6pK7/Uibta6XZXs7QW0na5Xh\n",
       "+WM8+bbRnz3qaS1jm2OmF9793PX9ssbrLvvZ82+2PjtWuVY6q+5IntJfn3n+LdmtMjX5s/OCvNde\n",
       "P2rfM2VbbYvy1NA6T3vyR+fnPg+jTOp6fTyR/98AfATAFwC41Xhug90s4oQQQggZySziVwK4L4C3\n",
       "4mwz+gsXkaiCXjv9zM6rh9Zn7cyyvpA5u89Mnm1pTmvThHfNXD/fLtiFbKWfVYtL0Y4lPeTO+vdr\n",
       "6rI0uYwFIdP2jCxav7ZQM/d58RhWnky9Eb3H75LPQ2YR/2wA98GgfRNCCCFkT8gEtr0WwL2XFoQQ\n",
       "QgghdWRsI0cAXgzgvQD+dTy3AXC/hWTy2FhmiZ6BNDKwoqbsmmCO6Rjwg91qyrLKWSrQaFcBTJmA\n",
       "kn0PYvOwMPyhAAAgAElEQVTGWW/Za/prybEC2MFcmlxeQJpVh5em9lmuqbvMo+Xz2hmVKeeLqfwo\n",
       "TzZgzBuDNWMkCqqVcmfri/olgzfvtsy3Xhus9K1rydzAtucA+CoM74fz1TJCCCFkT8ho4n8A4MFL\n",
       "C5JkA+Reb9gnMq949GpTzasaZL+oscrMuaet46pXEFGt1hM9H975CU3bk9em69O5Vu3baqsVFJbV\n",
       "xHtqeZ6MNVYP2YasBSXSur38WWuEVZ/MZ8nXUr52vsSzXsg2y2PM0MTfAOB5AK4B8KFJFuxBdDoh\n",
       "hBByPpPRxH9u/JRbiCf1FSXFzZr4tsj42IB2mTJ+Kk+mzM45sgRE9WXk78H5ZjHIanC1ZW7D+jJX\n",
       "067RzgDfdxlpbbW+49q8Xlm9rGtZObL9WlPHnDGlWT4msvel5/wS1V3r67fS9LCKyPOYoYl/TbUk\n",
       "hBBCCFmczCtmlwL4dQB/Pf79GoBLlhRqW8jdYctu0cubqXM6V+5Wjx2z/+Vo5Feb0pRpl9TIanxG\n",
       "5WctNfla69g1so+sz0w5Uvux8kZlZmWo8VNGWorlQ/ZktXym8rt1vNnoPxJTpiufKVmO1z9aH2rP\n",
       "qYdXbvm9Vfsrjy3ZtD6WabTjch6SZUR9p9VhyR6VUbYhmkdbqI2fmL579z8zNjKL+JUYXjG72/h3\n",
       "zXiOEEIIITsks7V/E4D7J85tg01PP8nccmr9aJ4PbU4UrOcHi855bdk3atu07yzhH91FHUuW4/mX\n",
       "M3Vrz9xUnvU9igDPyjP3ek27NNm8dlkyzJ0Hsm1eom+8fOV5bR5tGVs95MrmGWVW1+uMJv4+AE/A\n",
       "8N/MjmN4Z/xvqqQhhBBCSHcyi/iTATwWwy+2/SWAL8duItMJIYQQUpCJTr8YwJeJc58L4M/7i5Nj\n",
       "jknaKidCK1/LX/Oahmf2scxhnrkoIgommoIstmGe7nW/1mpKL4mCwqIx49ESZJY1u7a+9qSN5RZX\n",
       "ScZ0mjE9a/mna/JZjJ7N8rxlvo2e1ahdUVCW1q9WP0eug8z4keVoslrlWsetY8vKF6XJujNb3Dll\n",
       "+S2u04iMJv6TyXOEEEII2SKeJv5gAJ8D4OMAfAfOONXvgNzivxVaNZQscidbnpO7JU9TjjQPWY+n\n",
       "HUVBGtP57E661ZIxh151rTmwLTt2l2xftmxtPGrjUGvTHO2oJtBKe1ajerTyowAoWZ8mr5VfptMC\n",
       "5aznUdPwrTkk0xcS6156Gnp0bz1rhGchyM5Lrc+GZyHw5vDaOmvlk/cwo5F7i/itMSzYtxw/J/4O\n",
       "wH+qkowQQggh3ckY3k8AeOeyYqTZ1O7ONbatvc2tr+frD0u3Pfsqy6HSatmI/MO1eTw5orgKWabl\n",
       "wy7TZuW0rkVyetej8jU5o/KybfPqiPJkrAI15fR+xjK+68y9rb3Wkq6GWrlaZaixhJbfAdPS1fyz\n",
       "q/8E4IcB3BvAbcdzGwAPTeS1uADAzwK4z1jWkwC8HcCvAPgEDJuGxwL4wIw6CCGEkIMm49v+JQDX\n",
       "A/hEACcxLLB/NLPeHwfwEgD3AnC/sfynAXg5gHsC+O3x+zlYPuqaaD7NT6OVk4kizVzTdlpRntJn\n",
       "5smr1TW1Q/6V15ci4/88ZFr8ZlN6K45Bu8+yjsh/WpZVjidtfFiyZfzcUmZLhlKWqM1SQ/b877Ju\n",
       "rbwonTW3WM/nJIP13GnPrebzLH2hXl+Uf9FcJuW0ytbyZDXvTJ9a/WH1qWdB8dqg1S3TeONfOy/T\n",
       "W3VI5D2O8mtzdGZtyyzid8agNX8IwCsxaM1ztPA7Avh8AM8dv38EwAcBPArAVeO5qwA8ZkYdhBBC\n",
       "yMGTWcSn/yH+XgBfCuABAO40o867Y/hHKlcCeD2AnwHw0QDuAuD0mOb0+P0cvKjBWjTtpUbbkLvv\n",
       "bJ3Wrtlrm7br1nZsmrZmaWlSBrJdLM3S07gtjSqqQyMaF/JZ8OTyyo40pRarhVWWdV369q1y5TOl\n",
       "xQdktfpSFksztvpJ00a1ZznSnGV7o3umySvjBLLaaK1vX8qhzWmt8R3aXDnVU9Ynz8lnwHpGvfoN\n",
       "/7Zrkajpu8wi/gMYfNjfCeApGLTyb0/XcC7HMWwEnjV+/iPONZ1vxj9CCCGEGGQC264ZPz8A4KhD\n",
       "ne8a/147fn8BgKdj0PQvGj/vCuCvtMwnT568+fjo6AhHRz1EasPaTUeabiYaUfte5pf1eDt6Kceh\n",
       "+qfX3jZPk5zIaiJWemvsZDR7y3+tYY1dTzavzqiOsjzPbys1S5k2q1FmNbIITVbZZssiINN77bbq\n",
       "0srX8LRIT3br/mj1a/NWRvO3+tBKr5VlzckWWn9EbbXGlnb+1KlTAIDLL78cV1xxhSkHgNQrZkvw\n",
       "KgBfB+AGDMFytxvPvw/AD2LQzC+AoqF7prRtT+DeIu5NDplFvCzLqluaubS6SrxJeO0LILC+Nsix\n",
       "Ek0e1mRe2+Y55fRIlylDey6yz0e0KHkLjUxvLQbZRTyzQdI2H9a84C3iMn1mQ5JpT2ZuscrQxrW2\n",
       "QFsm52gutdolseqcrtU8h1q5VvrMXOyNUXFdLSyjiS/BN2OIer81gHdgCJa7JYCrAXwtzrxiRggh\n",
       "hBCDtUUzbQB7x9OqmVhkdlnebtIr19r5RibBaCctz2XbsG2WqLfGkrEP9NaCW8rRxl9Wrla5LW1S\n",
       "5vHk8bQlq32WtuWVL7E04kjjzlpXPCwNPJIjM6dEGqN2LPNnrAZa2Z5VKJJ5zvOTsXBYZVhae03/\n",
       "aGWX/aIl0U56gW23AfBEAF84fv9KAP8LwDcCuJWTjxBCCCFbwNv6PQ+Dift2GILabg/ghTizqD9x\n",
       "WdFUNtvSrHpr9J6GOLeuaPfXIiPZPpEWUKabO14ymqF3bc7YyliZsn1R5u1pOSjrtmTLWDO09FKW\n",
       "rAZqyRk997XjpUZer91W2VkZ51hXM1aHlmegTFOWUTu2PO3csa5U+8TvO/4dB/AeAHfD8MMsvwjg\n",
       "2lBaQgghhCyKZ06/BQaT+h0w/Gb6HcfzHxXkWzXHjtk/8yiPs8gdWvS9pZ6yDM1nU35qZVML3w82\n",
       "m3N/0ENLU4ul2cqx7ZUtx1gWT6Oz6i37QRuvWnu856hGm5vq1p4jTbYyvdbm6Lsmf6TNlvXK9snn\n",
       "PirLan+ZxtJqZds97Va7Z5bWX57T6o6wLAVa3eVxTX9pfZ+VTfvUZM+MWU8T/0UAbwPwYQw/9PI7\n",
       "AH4fwINw5udRCSGEELIjom3DCQz/P/z9AO4B4DMx/LOSNy0rlskm2iG2kNn1WLvRMl+N79s7nrA0\n",
       "i1o5vLw11/eJVlnX1MaJ1vu5dP3TtYklZGn1h3ryeP7qTFtrn7PomY3849r5mmc58gXX+LEnMn7t\n",
       "mnFbI2+Zx7vutScqt7Zva8uoTdvqEwfO/j/i7xj/CCGEELIHeL7t+wH4Qww/kfrTOPufnrxmSaE8\n",
       "LJ+E9EXU+JQ1H5D0IWs7pch/qflltGvyWCvX2z16vkB5bKXTdtG7IFtvq9a3T1q4FZ8gsWSO7nsv\n",
       "OaIx7j0HU9mW/zEam94z5CE1bc+XmdXCo+dd1iPrk+ciP7JG5CfW5qsyjzd/ZMdixpcrv1ufUgav\n",
       "jTJ/5n6U+bRYAlluVK91vawjkkOS9cFbeIv4T2H4SdT7Yvh51N8D8EnjNb4nTgghhOwYz5x+BwC/\n",
       "OR7/MIDXjd+/ammhCCGEEBLj6epvAvAFAD5YnLsfhh98uROAOy8ol8VGM4Ps0kTaGsyRDd7w6p3y\n",
       "RQEnsr59MimT+rHQOmbKurLne1P7vNQGCAFxwFI2YEpLo+WNXBGWibn87rnXMjJagXJTWq8vM23K\n",
       "mNwzwWrasVVG5j5E162xFs2RU16r7+T5TDCclFfL6/UNjPXaM6c/E8C9xblrATwUwK87+QghhBCy\n",
       "BXYTvdTOOZp4liU1jbllZzSr2sCzWk2cGvp28e55JsAqe796p+tNz3prNc05mvh0TdPItLqs9Jac\n",
       "NZq4lLVGO2yxgmiaY01dlhWxbIMnY6RRR/msvo3uYfZ+W2V6Wn5ZhjM2qjVxj59uzEcIIYSQTnjq\n",
       "3IVOnmsBXNxfnJBmTbwnWb9elK9H2lrNmhr3fjDHr92btWnhLflqn9me1pCenO/P9Zx2tmrw5fla\n",
       "TbwXnibuRaf/DYA/M6593EyZCCGEEDITz5z+JwCOANxd+Tu9uGQOx47FPxJRflrXZdrIzzwhd11R\n",
       "5GSmbi+9TFd+Su1izs4w2/6WMrJl19yzmuu9mVuH57vVzteMm9q+iCKPrf7O1mNdy0bzWu2tec4y\n",
       "0dVaeo3pWiZGpedYzPjRa8dEa5+2MMmXkbNlzER483TUbnnPS21cG1s164lXbwZvEf8xnP0rbSU/\n",
       "VCsQIYQQQvpyMNHp54tPyCOKyDzf+2fXZPywQO498X2/l1aErzwX5c+mX5oefvhDpibGYFv90hq7\n",
       "VJN+Th01cU/ToXb9YP8vOCGEEHLocBEnhBBCVsrqFvElAh5a65WBGlowgxaYph3XBCNZdcgACy0g\n",
       "YxtBX0QnGqNlkMyccuZQG5RpoQX8eO1rGZc1QVkynZdXPrPWs2XlnfCeud7BmdY804I2H0WyWcFd\n",
       "WRmjYLeWvrECkL25ujyO3AMtpvTITSTHXabM7CL+MePnHZPpCSGEELIw2UX8lPjcGfKn+mp3n5nX\n",
       "K2p2etqfTBMda9esHb+mFUitR3sFRl6zqNnF12oT0W46qwX2ZB8sE5YW0jq2Iy0jyq/J5o2dSAts\n",
       "sS5oY1eWLeeCrJafeU7LZ8h7brW83nVL9jKd1ddRH1vPfYQlh1a2dj3z3Gp9Ku+dZbnw7lXLOLcs\n",
       "QlYbtTosS1MkR8YaV8qYuZfZRXz3Mx0hhBBCzmKVPnFNa83uPrNaQbQb9Hw4tXVqO1BtV21p3Jrs\n",
       "luYyV9YobY21YU7dvdiHV4CyO+5MOZpWoH2vkaNWc+1FqbFZ5Xoaa3kcfWp5rbLkda9MzypS06by\n",
       "fPmMR7L1JKNden7o6bt2bNUl+yqyTkV+bJlWmys933h2ren1HGTu4eoWcUIIIYQMrHIRb9EwNWo1\n",
       "xbJuTXuu8RFr/suyzIymL7UAy8eUSW/Jvy/U+OEOhUi7jXyjGaLx2ZtWH2b5GZVZntP8lJoMWblk\n",
       "uZYft5Q90pw9y0H2vCanpb1mtHZPS23R+iMNOXsPMvczw1Rf6Xv2xn9kEcjM1ZlrLWvbKhdxQggh\n",
       "hOQD1u4J4AYAnwLgj5cTJ2SzDz7MWlr9KjXlA+dGt9bU01sm0sY27oNXR/baHDm1vNlzteXOKcd7\n",
       "jjRN10s7Xc/Ul5VxYs5zX1u2rGdKE9WtlSmve/lq2+Pla72WkbdGrmi8yrQw1uusJn7D+LnLBZwQ\n",
       "QgghBTSnB2R93p5vJBMp3NMHmY0UjnbHLUS+xENnze3M+CRb/OaWn6+2r1r86TV+8Om8FzU9UftM\n",
       "t1g+NLllnVpf9nrTIZKhZn6J0nv1tbTHigkqr3njKXOsfW+RKyovqoOLOCGEELJSuIgTQgghKyVj\n",
       "C/gsAN8D4ASA4+O5DYD7LSSTxwaIX1fYVoBWFAAS5dVMOvJcFARiBZdk8tZcWyP73p5s4JSXt7VO\n",
       "TQZAf5WvZ1CmVp5XbyYQSOaT5XnmYOseWM92DZapW/tu1WEEOKXqswLerPos87PXFlmfFfyotSEz\n",
       "/0m5Wk37pTzWGLGei+jTk8Hre9mmaCzAWK+PaycFvwTgKQDeAuCmRPoMTwfwVWN5bwbwJAAfDeBX\n",
       "AHwCgHcCeCyAD3SqjxBCCDk4MlvL3wPwuR3rPAHg/wG4F4B/xbBwvwTAfQD8DYBnAngqgDsBeJrI\n",
       "q2ric15D8Hbf2d3TEmR3zZHmYWkZPV5FIduhx/3yxnBJRkv2ypwrk5ZmksHS8jL5ZRmRNhZZAqzr\n",
       "sq7ye7YPImuJVmbrXKZp7bL8GquI10cZuTWZvGutlkVr7LfM+TUyeN8DLRyYoYlfAeA5AH4LwIfG\n",
       "cxsAL0zk1fg7AB8GcDsA/zZ+vgeDdn7ZmOYqDP8xTS7ihBBCCBnJLOJPxPAjL8dxtjm9dRF/P4Af\n",
       "AfDnAP4ZwEsBvBzAXQCcHtOcHr+fQ63vsEwn88t81net/BY/Yc3uTtYdaVJe+6wdZnaHSJYhq2F7\n",
       "9zGjbWw28b+qbbn/c8dHVqPT5I3yaHVEGqXUgmR5luataZvyWsaXO9Uny7bmIatM715m5zzZhvJT\n",
       "m3ekrF6dkfbvzXllf9aOP+1+ete9a3IsRfLIe6s90/K4zOuRWcQ/E8CnYjRld+AeAL4Ng1n9gwB+\n",
       "FYN/vGRj1Xfy5Mmbj4+OjjqJRAghhOwHp06dwqlTp1JpMz7xKwH8MIC3zpCp5HEAHgbg68bvTwDw\n",
       "IAAPBfAQAO8FcFcAr8CweSjZtPg/liSrGbX4U+bIMNV16P7vQ2pX5IMu0+17myO/ZqaNExn/5xJk\n",
       "ffAZv+aceSuywvXun4zf2fOPW5p2jZxR3/fQxHvkqbVgtV4f+1BdrzPviT8YwBsx/PTqm8e/axP5\n",
       "LK7HsGjfdhTqCwFcB+AaDKZ7jJ8vmlEHIYQQcvBkNPETxvl3zqj3uzEs1DcBeD0GrfwOAK4G8PGw\n",
       "XzHbANvZmW9r11/rh5mIdqYtu9dt9GfGYrFv1pYlqbXc1JQ3t788bcurt+aal16O96w1q0WDzsjj\n",
       "5dE08Jqye2rRLeUsZc2r0VS1fu45Z7U+U149nhWm51zlaeJ1v16we7iIj3ARPwy4iNvpuYjXw0Xc\n",
       "lwU4vEWcP7tKCCGErJTVaeL7pIlpOztL47S06EwZXt0lUhMoz2tlHqJmu0Y07acmT62WW9bhjde5\n",
       "WnzGwpBJV2u18SxYGl7ajCXMeha1Z9+TwSsnksXqr2w/Rm2y5hZN1kibljJ5/eDl1+TzsJ6zFitE\n",
       "jWVRw1sjnL6mJk4IIYQcEtTEDXatpVo+7YnIr9TDf9WTGt+YlR9o/4GRJXxUS46PFq1c5ptrdenl\n",
       "E6+lNk5grh84ut7bJ66l9dJvA8tqMNcqs9S9mZuvZf5ZMn2mPFATJ4QQQg6LVS7ix47ZP2PYq7zs\n",
       "bq7Mp8lkXY/yaUwyTbtjrYzIPzOlm4579qOHlKd2l7rZ1P0UoVV/r/YurTXJ9mpoGl+ZT56fI4Nn\n",
       "FaopP+sfjuTx0mvjWhv73nM0lWtpzTVtkHVo/k9Zhya/1p5sek9+KVv5F/VjJGPWTyzvgXZvtDxa\n",
       "33rprfq1cksy86mXfsl5dpWLOCGEEEK4iM+iRZvcdp0y7y79bj1pbcehtB/o05aMBrckPerTyqix\n",
       "2sy10kRWtSXGXEbjnIunWWta9hy/uawvoy231mVZbmqsF8Ay91X2QaadXMQJIYSQlXIw0em1kbi7\n",
       "jjaMytYiY1vKndiFBrrtPtt2edno5l3TI9I3G5Vtve+azZuRXZ7LPu+lTC2yZFn6vs+dL+bOKUvM\n",
       "m9Y9Xaovo/HQo/ye88koL6PTCSGEkEOCizghhBCyUla3iGeCDzJmjOj1CVlu5jWWSE5Pllai12mi\n",
       "VzyWDGRa0qTYu+zWV7B6l6mRfTUmI4cWOOMF9mhllPm119hkAGUmCMsrP2p/VH5ZR1mWfL6jdNpz\n",
       "I69Hc4rXDiu9ltcqt3w1y5orvaA/LW9m/Hl1yTKj4K2a/mmdg0vXiSZbVlYtjSw/K5NMl3kugRUu\n",
       "4oQQQggZWF1gG1D3r0h7BUZkA1+y1+QxkG+XtZveVl8sRe9gkF517Jp9kDkTeLbNgKnetDy3Pcqu\n",
       "qWdXfbTreyNlmCtP7/Z4QXitdRlzPAPbCCGEkENidYu4tRuzfDiRT7i2XnnsySfr016/mY7ld883\n",
       "o2nwkS8sklvKugtafsCi9v7uWqMosXx7kd/NO9dLnhai59Grb65mlb1e+2zIOaRlPpHxN9Zzmp1j\n",
       "PCwfbNaPrNHyXHrXPVla7k8tvfpWlqeV21pXTb7VLeKEEEIIGVjtIi53KlaUbCbvEli7amsn7+3K\n",
       "y3Ty2LI61EZFZv3qu6JGrn1tQ4mn4WljW1pfSj9cVE+WjIWp5fzc5zATHW1dl3mtqGGZx3oeZNSw\n",
       "vA/as5zVgmUZGRm1eSOyRFqR2ZYclpxSFg1rjFqWiUxcz1wyliGtjdr8mrlPVtk199tjtYs4IYQQ\n",
       "cr6z6uj0pZG+7B4RkdaOztKiNU1AS2/526O8mow1ZPPI9mv5ynNaP/WI8N0nvD5pld3TIKPock/G\n",
       "TL29o4ct7dlrRzSuMvJnz3lj1Mtb2+fZcqPyvHTaWARyc1+P59Yrs0c6mQfI/fZBaz29555RZkan\n",
       "E0IIIYfE6hbxbWpWpS+yR2R3D39OGYleljnt/DJ+0t7y1KTLRnJ6MQ9ZefZZC5/I3APLp6id1/zn\n",
       "03kNy0ccWW2scrQ8kY/Y8+vK46gdU3rLb6v9Wemsdng+3rLMyMdqlaM9w9EYkOXVPNvaOPHGhdcP\n",
       "0t9u1af5g6UcNWVksCw75XVZ79y51Gpf5jgqe2J1izghhBBCBriIE0IIISuFgW2CXoENVl7PTGcF\n",
       "llhlaAErGROqJ2dLvhZqA3R6B4rUsFTd3lgDzr333phYWo7ofmXGa7ZerX4tfUvwk2a692TSnomM\n",
       "3Fp677n18lvltOCVEd1vq7wpT0ZGa46J+sxK2zomWsjKVCNHdgyM/cbANkIIIeSQWN0iHgXi9Co/\n",
       "c94KjLHk84IWtGA1Wb8V/OHJkg3Q2KYWbtXj1e1p6NpxT5buE3kPMwFcc9oq+8wK5tHksMaTJ7NV\n",
       "f0YL1+rKlp8pJxM4VabTnjcveMmbD7KyWnJoMlhptLkj6hMtrzffROXUtH/67gXq1owL675Y5dSO\n",
       "OW9+8u6DlkY777G6RZwQQgghA6vziW/DZ7qUnyXr/2gtx0o7sYZXrjJs22rQi+i+Za/3HC/ltZ4+\n",
       "P2lh0nz6UfkltfEiVvmZvtPkzPa5pT3OGatz7kfr/a0pI+r/1nHbm8w46VlHy3UtbTGW6BMnhBBC\n",
       "DonVLeKWf6a8Xqaz/A/yuPwud0qeX6ZGXnne+h75SGQer51TWzJtaGmjlyfyO7Vi+V+18eDJtDSR\n",
       "Nibvn/RTys9M1K/2vSbWQJPDwxqDVsyD1B69OqyxK8uxjkv5NE1eSyfLseSzZJf3qNZioh2XsljW\n",
       "DC2NTOfJlL3nWhlevJCUxZqXtfyyLO1aFsua4JVpPVPeeSu+ZMIan5680Rha3SJOCCGEkIHV+cSB\n",
       "/D93iPD8Shn/Ua3fq9ZfNNfPlakjU9+2sLSMOeXts9+8d3unMns8Cz3TZ9NazwAQR7JHz1XNs5St\n",
       "x/peU2aGmnGyxJjPzh9RXsk225OdqzPjJKqjp/9f9N/WfeLPBXAawJuLcxcCeDmAGwC8DMAFxbWn\n",
       "A3g7gOsBPHxBuQghhJCDYMlF/EoAjxDnnoZhEb8ngN8evwPAvQE8bvx8BIBnLSwbIYQQsnqWXCh/\n",
       "B8DfinOPAnDVeHwVgMeMx48G8HwAHwbwTgA3AnhgppIoiEkGUmQCacrjyCQizWlZpOnFKjsKvojk\n",
       "zAY47QNWwNqc8vaZGnP09OkFwlhlZselFxyXeX4ycnp5raC3bDCQRvb5tQL6ZNCSV3Y26KsG2QeZ\n",
       "/l+K1rZMfVf+ZfJMdbaMJ4vWQENtntfWFTkGagL4tPMZebet7d4Fg4kd4+ddxuO7AXhXke5dAC7e\n",
       "olyEEELI6tilyXoz/nnXXaKdes8AqbMEE7utlnrkbt0qo+euHtjuK1a7Yk1trLmn2XEy0aqx9tR8\n",
       "WuXZZlle+bu25kTaf/ZayRqej979ni0vO99aa0JtsHOPdh6fXUIdpwFcBOC9AO4K4K/G8+8GcGmR\n",
       "7pLxnMrJkycXEo8QQgjZPdl1bukt2QkA1wC47/j9mQDeB+AHMQS1XTB+3hvA8zD4wS8G8FsAPgnn\n",
       "auNnffde96ihdvfklZN9xWTp172yr7ns+2tYZFm8cbKNVxKXeCVOawcQzxfRuexrarKumrZk5wvv\n",
       "+1Kvata+ama1K9PPk/zea3xWGk+eMo927NVvjaOJzHiqQZFRXa+X1MSfD+AyAB8L4C8AfB+AZwC4\n",
       "GsDXYghge+yY9rrx/HUAPgLgG5AwpxNCCCHnM/vvHDmbDaBHlG6L3tqJ3Ml5vhYvktbKK3euZZlz\n",
       "Zd8lGVn3vT2ehqMd12rKNTJY9fTQlCNtH7C1mFqNy9OWvOfBkqtME8lvPX/eOU/bs/rAKi+jscr2\n",
       "WH0my9B8vpYWq42nqL3a9ezY0NJoePlqLB1WO626aqwYwX3b+o+9EEIIIWRBVr2Ia7tJubNbuk6r\n",
       "Xu17JOO0C5vqKOuSx1r5Zd6ynnJXp+0YtTr2HctvWH7uO14brHs/pZmjIXtjU5OxZ7/WlNdy3Rvf\n",
       "XjmTXN6z6WmQWfms51Zey/a1ll977iesOWI6Lv+0sqy21Mgr05cyZfqsPNc6Z5X1aX1g1WN9l/kz\n",
       "a1N53lofMv266kWcEEIIOZ/hIk4IIYSslHXYHc+wWZPJdyIKkuhdxxLlk+2xy/vn1b3EGMsG/GTK\n",
       "6CVLJh1gu0Nqgqyy5dbKsSRLjoNt0KvflpZZcZUwsI0QQgg5JFa3iNcGULSk9QIQavJNyN2aFZgW\n",
       "yagFPGRk9cretyCwpeXZt/ZqbFOzkuMkCoxs0RatgLGy/Oi1Gw8vmM2q3wok8uoug5ZqArG8gDmr\n",
       "HdFzrd0rGSiVQQtms+rU8mbvWzQfWQGP3jzpjS1LnvL+WQFtXpkyIC+619p9q4GBbYQQQsgBc9CL\n",
       "eEa7BeJ/MqC98jV9lzszr95ylxZp43KXKV+J8H5AwHodwqNmR5uldkda65OsuT7HD7aU9h5pElIz\n",
       "iO5RiyYT9YemjZcyybZoeHVoWlFZXrYtEdrzI69pcpR1yTLK5y+SX4uJ0awBmblGm3MiH7X3vEnL\n",
       "giWLdt67R+V1eSzrsjTcjBXTs2DIdN4cXbZL6++yHZo8sm1W2SXe+NZeCdY46EWcEEIIOWT230F4\n",
       "NhugXZvSdkFz/I9z85flAP4/aNC+l2g7QGv3Pyeqdg2soS3SItMaFR3lzV63ypbnepORb5KhZey2\n",
       "PEutEzcAAA99SURBVA9euzVtrJRP1mVpbZFM2nWtTWW53hxQ085M/ZlxYo0teU9lWyx5NdlqnnXZ\n",
       "R7VjXRuLUT45zjQZvP4WadT1mpo4IYQQslJWp4lvU8PK7Ppad4aRpl0r475rnkuxBq07Yl/aEFlr\n",
       "rPTW99r80bU59UWakPdcA7GGtpR1S9NiNZl73os5ZVvl1MxTnixWugxeO7Jt1DTrqV09rL1B/1ET\n",
       "J4QQQg6J1S/ix47VRVXLaEDv+xQd6GknZZrpuyZPxhcm01rylde9Xaqs0+unmj5szROlb5FvHzTY\n",
       "uVhaoPzU0mhk08vyNU3VGkfa2JNjv2VMlWVFZWS1ulJWTXuyypbPtlZuJMfcZ66s33veWzTeUo4a\n",
       "P63XbxblPFrWa6XVLBBeOqtMa66U37U2erKV46k81tJH8ll9nb2Hq1/ECSGEkPMVLuKEEELISlnd\n",
       "Im6ZkzUTpGWC8ag1Q2mfllmlxrSWCYiQ5iFp4otMktKM02Ii85Cms7KOrHksW1eWOSbe3ljmas88\n",
       "p40xyyyulanhmWu1MeS5fjRzYMbl5ZlFW90D1jXZ3qm/rHzWfcq0pea50tqsudAyz3PNOK+5x9p1\n",
       "D6v/ornQm7siU7/33ZIhM8YyY1j7i/Ce8wyrW8QJIYQQMrA/akmODbDbYCZtJ++lk5/adcD+6cBM\n",
       "+VZ+61WFQwgGO0S2cW9qxuG26tfqnTNmI01Ooj2n2nMrLR1R0JVsY5lXq1srSwvEy5ahBat5mml0\n",
       "zbLuRPcwmo8irL600lhYY8obk9H8LdNbdUb9rN1nrQnaSWrihBBCyEpZ5SKu+RpqfAhWmRm8VwA0\n",
       "v5v2PTrv+UTLNNKnl5HTiiGQx2Q+tf3ZUwuu1ViscWSV2eLnteqPztXEXlh5p/bJa+V1T2PVyrPq\n",
       "0PLIuqy0Wh3Z9lh480lNOWX66Fz2utU3kQwtWOPbG/dyfMjzGWvslN4bH2Wa8pw81ljlIk4IIYSQ\n",
       "FfrEPd+ZR2aXvStqfCqaL8ny52jleDLsW7+cr9TEWswpa0n5lqDGohXFpLTUky13zrmeRHEFmdib\n",
       "lrp6yJatp6UPay2jXhlzYklq6wN94oQQQshhsfpFvMaXk0mv+f1afMU1eTRfidzhef48y1djyRJF\n",
       "05Ll8e5P1seWwdO+pu/lX02Zc8eRV2/57EXaTuRTt55p67koNSyZztLgyrRa/hotXM47Un7tnllt\n",
       "8frO8vda8pT1Z7DyaVq41ZZobHiyR/fXksmqVztfs5545U7X5LjJ9PfqF3FCCCHkfIWLOCGEELJS\n",
       "VreIW2YwzQQVmUS0cqTJ2jPZaKYtz3yVKcNrl2cCikxRpQmpzBOZrmqxyvNMhL1YsuzeaPcD8MeI\n",
       "vK6NDe2aVq+F9yxF5lvvecuaSL1znnk2KssjGrOyvqgebc6Qx9KE7KWx6pcuNm0OapkfrLSTTHL+\n",
       "0OYhmU/WKc97bp8oXdbNoj1zWnnWXFXeE8ttmXlWpDxeezUZJatbxAkhhBAysP8qy9mc84rZrpG7\n",
       "M2tnKDV0udOe0y5tR10ee/J5O9k1sHb5S7JtmdPmfeivmnYCuR/W6CVP7bGU09LSvFfgtOsZmcuy\n",
       "e8wjsmyvvbWv2Xn9Z12P5tQlydZd+8zWtkWME3W9piZOCCGErJTVLeKR78zzU7XWZ/nCNL+VRe2r\n",
       "CN71rL9oOlfjN1ob2diDfcPycWby1e7kM3Vo8iyFFZMh5dFeqyyvZ5D+SXlefrd8u5q2K/3Pch6Q\n",
       "8svyZBrpR/X8q5q/O+pXrw/kPBLFTsg2eP2l1S+Ps3NXdB89ZN9q5chrVkxBZj4uv2ef2cxaJlnd\n",
       "Ik4IIYSQgeO7FqAW70cLymNtV93iW/HSW1pCTble5Hu0i/fyRRp6VN8++E5bWavcvanVUHbRby0W\n",
       "opqx6VmivAhl7bzle5bPspZPk12mzcwn0fxXcy6qz+qfmr63jj3rZe28WiuPZzmY+wxE+WuuZ2VZ\n",
       "UhN/LoDTAN5cnPshAG8D8CYALwRwx+La0wG8HcD1AB6+oFyEEELIQbDkIn4lgEeIcy8DcB8A9wdw\n",
       "A4aFGwDuDeBx4+cjADxrrmxyR+P5p+aUrX2XaD6r2jI9bSGKDK2RtTYdaSPSNFvyaWmzmkzt/e7h\n",
       "P8/4Xa18tdTUk+kPzWdvySZ95zKt5qvNxMjUtMlLm/GfW9dqrT3yOOrrKKajJT4kssx487Nmdcla\n",
       "az15Wvp0YslF/HcA/K0493IAN43HrwZwyXj8aADPB/BhAO8EcCOABy4oGyGEELJ6dhnY9mQALxmP\n",
       "7wbgXcW1dwG4eOsSEUIIIStiV4v49wL4EIDnOWlUO0T5GsCpU6fU67W0mgat11QkXoCMJUNGJitA\n",
       "Q5MzqueQzOc9TL3bYK7LowfaK03ymsY+j5ca06RlwvbOZV4Lq5FxwupTz8xumYAzr3xN6aJXxLxX\n",
       "s2pM4Vawrey3jCnfeiUsomyvNnd7r5LJ81Y5Uf0TpWleBjueOnUq3b5dRKd/DYBHAvh3xbl3A7i0\n",
       "+H7JeM7l6Oiop1yEEELIzqlZ27atiT8CwHdh8IH/S3H+xQAeD+DWAO4O4JMBvEYrYE4gQc88Jdpu\n",
       "SfvuBZDInWlt/ZZM1o7xkNlnLdGjVqNotTpl82kBk55W5tVZ812rK1NuRo5Iq420cSmbJYuXxtLc\n",
       "Ii3Qy5NNn7luaaSW9lxe8+Y47VxW655oDYaM8luv02XStQSvWWnKzyxLauLPB3AZgI8F8BcALscQ\n",
       "jX5rDAFuAPAHAL4BwHUArh4/PzKeW+dMTAghhGyJtalmG+t1KrlTLK/tE5FM2o7X+pEJec7yOc2V\n",
       "rfZ8az0t+TLntL6L6pDaxS7HUVb+uXJ6+eeMjV791/qMb/P+ac9k7fzU83mT9VvzSM2zUVNvlM+a\n",
       "73qUXUPL2G8tr4XxvqnrNX92lRBCCFkpq9fEd42209V23EDb7jcrw8Tc3fbaOKR2bUPj3of+qtH8\n",
       "gLp/HtEjvkXToks5vO9aHu95tNoYtT3zzLeSaa8150VWhJr2enNqpg1z8tRaTGvqAHI/86qMIWri\n",
       "hBBCyCGxSk18qV3SXCK/CmC/x13r62vdaU4yLKWtb6vv90Gj7MGSWnVt2VJbAnSNqfYZrNE4WsrI\n",
       "xEC0xJbU+LC19C30jj/pQQ+tszXdkv2RsZrWzulzrAdefdTECSGEkANkdYu43J2XfxNyZ1ReL9OV\n",
       "x5l65XH5GZVl7fis796O39pBajKU5zebM+/Yl8c92Za2cAhaeBZrbEV90NpH09iItFspmzc+a+WU\n",
       "Zcwtr7wmr2vfayxjvZ4lObeV56fPaJ6pmdOWJmpLmc7rW63dLVZIWbdWhpQlGkuyjnJ+LevK0pJv\n",
       "dYs4IYQQQga4iBNCCCErZXWLuDR1SPOFlt5KJ4N4ANvc7plYZB2W2csqwzLfyX/wYrV1MuNkzJ+y\n",
       "XbKMXaL9Q5tD5tSpU6GbBejrOvDMtJ4s2pi3TN6WuVre36h8mUbLp+XV8msuOK09so7IjeDNH+U/\n",
       "scgQzQ9yjtHqbTXj9kB7fieZ5Rirvb/R3KohXYlleVadkbtV3l8rWNKry5O3hdUt4ucT5+Oidj7B\n",
       "9h42bO9hsy/tXd0i3ltT8YJcyl2WFZChyWRp1lHgWXlus9ngiiuuUGW2dotWYJHcxVo7xpadYM8d\n",
       "f9nefQrQWYqpvXJM1WgbtViac4sWMddCkMmflUs+B6V2pD2zUeBaxsKnPUtafZH2XBNsa1kWvL70\n",
       "5jCv3jlj0BvD0fj2tHSvP720Wv2eJUj2aaulw+sDTV5LHo/VLeKEEEIIGVibuvNGAPfftRCEEELI\n",
       "FnklgKNdC0EIIYQQQgghhBBCCCGEEEIIIYQQQg6DmwD8cPH9KQAu71DuDwD4cwB/b1z/j2PdDyjO\n",
       "/SCAN49/jy3O3x3AqwG8HcAvA7hVce0nxvNvAvDpxflHALh+vPbU1kZ05AjANbsWghBCyGHxLwDe\n",
       "AeDO4/fvRJ9F/IEALoK+iN8BwKsA/D7OLOJfAuBlGF4pvR2A1wC4/XjtapxZ1H8KwH8ejx8J4CXj\n",
       "8WcD+MPx+JYAbgRwAsOC/0YA95rZnrkcgYs4OU/he+KELMeHAfw0gG/vXO5rALzXuPb9AJ4B4F+L\n",
       "c/fCsLDfBOCfAFwL4IsxvGL6EAAvGNNdBeAx4/Gjx+/AoKlfgGHj8EAMi/g7MbTvl8e0ki/HoPW/\n",
       "EcPrMcCw8L8KwOvGvweP54/GNC/CsOl5BoAnjO28FsAnjul+DsCzAbwWwB9j2JxIPhrAc0eZXw/g\n",
       "UeP5+4zn3oDBsvBJSl5CVgcXcUKW5VkAvhLAxzhpjjAsLvLvdyvregCAi3FGg554EwYT+G0BfCyG\n",
       "hfsSDBaCD2BY3AHg3WN+ALgbgL8oynjXeM06L/mvAB4O4NMAfNl47jSAhwH4DACPx2Cun7gfgK/H\n",
       "sOF4AoB7YNgw/CyAby7SfTyAz8KwgD8bwG1Evd8L4LcxWA8eCuCHMFgfvh7Aj2NwC3zGKDchq+f4\n",
       "rgUg5MD5ewA/D+BbAPyzkeYUzvY5t3ALAP8DwBOLc9OPOb0cw8L3+wD+GsAfAPg3ANFvO875Majf\n",
       "w6DJXw3gheO5WwP4SQw/2PRvAD65SP9aDIs8MGj6Lx2P34Jh04FR3quLNH8C4FNFvQ/HsGl4yvj9\n",
       "NhgW/j/AsMBfMspzY3PLCNkjuIgTsjw/hsG0e6Vx/SEYFmDJPwH43GQdd8BgMj41fr8IwIsxLGiv\n",
       "B/Dfxj8A+CUANwB4PwYz+S0waOOXYNDGMX5eWpR/CQbt9Vbi/KXQtdr/gkGT/hIMpvPPwLCR+UsM\n",
       "mvYtMcQMTJTm/5uK7zfBn6duUs79BwxBdyXXY/DrfykGS8XXA3iFUy4hq4DmdEKW528xaJBfC137\n",
       "fQUGTVz+ZRdwAPgggI/DEG1+dwwL1rSA3wJnguvuN/69bJTlFRj818Cgxb9oPH4xgK8ejx+Ewex+\n",
       "GsAfYdCgT2DQrB83ppXcA4NP+3IM2v+lGFwKky//qzEs5DUcG2U9Npb/iRh84yUvxbBZmJgsHHcH\n",
       "8KcA/ieA/wPgvpV1E7KXcBEnZDnKBftHMPije/BMDH7p246f3xekvzWGgLK3YvAjfyXOaLBPBfAd\n",
       "GDTXOwF4znj+JRjM1TcC+N8AvmE8/xEA34RhsbwOwK8AeJsh47UYgtt+D4Nf/lkYNgpvBPApAP6h\n",
       "SG+Z9jfFtQ2GV+tegzPa9IdEmu/HYC24FoMpfvrXeI8dv78Bg8Xi5436CCGEELIAV2IwlRNCRqiJ\n",
       "E0IIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQsi6+P+dWNbYVK7SFgAAAABJRU5E\n",
       "rkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7441c3d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "D in [-0.0244731716812, 0.894932925701]\n",
      "d in [0.999999642372, 1.00000035763]\n",
      "Constraints on D: True\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeUAAAFRCAYAAABKa7UBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu8JHV55/HPMAMIcjlcVEAwhxgHdVVQWaKo8VFRwTXe\n",
       "jQR0GTFKNm7QbEQXo2Fi1hvqCzbuahyjgAZ1FARBwSDLHDGCMugMcnGIXEYRlEFhQBkFA7V//KrT\n",
       "dXq6+vSlqp6nT33fr9d5na6u6vp9+9fV/XTVr7obRERERERERERERERERERERERERERERERERERE\n",
       "ZEp9HHjXmLf9FTBbXRQREZHFayOwBbgHuAv4NnAcsGSMdc0Bb6gqWCBzLM77JTIVtvEOINKgDHgx\n",
       "sAvwKOADwDuAT425rgiWVby+KPdrVFX3g4iI1Oxm4Lk91/1n4AHg8fn06cDfF+a/FFgP3A3cALwQ\n",
       "eC/w78BvSIes/yFf9kHg9/PLuwKfATaR9tD/hu4e+QrgX4EPAXcCNwGHF9p8PXAdaY/+RuBNhXkG\n",
       "/BR4O/CzvI2rSW82OrYFfgEc2KcPZoCv5rnuBM4HHpnPK7tfhwJrgc3AFcDTC+ubI/XXt/PbnAfs\n",
       "CZxJ6rMrgN/rkwPSof4Hgf8K/Bi4A3hnYf72wKnArfnfKcB2A/rhJOBLwGdJffcD4DHAicDteRvP\n",
       "L6x/Bal/7yE9BkeV5BRpjU+TnixXV7Cu5wDrCn+/AV4y5G13A84BrgK+C/ynkuWeC3yPlPd0YOkQ\n",
       "t39Lvvw1+eWOA4HLSS8c5wE759dvB5yWX78eeHbhNnPAhsJ93HPI+zdIlY9BdP2KMqQX6+Pyy6cB\n",
       "78kvH0IqRM/Lp/cBDsgvrwGO7VlPsSh/hrRNPJRUlK4vLL8CuJ90mHgJ8OekotPxImD//PIfAfcC\n",
       "T86nDfgd8H5S8X0IcALwhcLtX0raFvvZHXh5frudgC/mOTt679fupEP9R5OOrB1JKua75fPngH/L\n",
       "8+4CXAv8iNTPS4EzSNtYP7OkPvsEqQA/Cfgt3T5+D3AZaTvfk1T4O49Nv35YSXreP7/Q9kZSUV4K\n",
       "/Bmp+EJ6XO4mFW2AR9B9YybSWs8ivdhUXRB2A35JeqL22tjnug8B784vHwBc3GeZbYCfAH+QT/8d\n",
       "3Revsts/gXTfHkJ6UfgG8Oh83lrS/Ye0Z9R5sXkz3cOpDwOuLGRYAzylT7ZJ1PUYRFRWlC8nvXDD\n",
       "/KL8CeAjJetaw9Zjr52ivBS4D3hsYd6b8ttAKso/KszbMb/tw0vaOgc4Pr9s+bq3K8zfh7SXulM+\n",
       "fRbwtpJ19TqIVGQ7eu/X64Dv9NzmMuCYwvInFuZ9GPhaYfrFpDeQ/cyS7vc+heu+C/xJfvkG5h9B\n",
       "eAHpMYT+/bAS+JfC9B+T+qVzhGLnvL1dSEX5LuAVwA4l+UQa5z2m/C3SE6Po0cCFpGJ0Kd13zaN4\n",
       "NXAB6V13r35jZo+j+4J5PenF4mE9y+xB2ru5IZ++GHjlgNs/PL/+u3mOB4Bvkl4EIL1D/9YC67qD\n",
       "tKd2cCFHv5OSHkZ6Ib4i/zu0zzJl+j0GbbMv8wtT8fobB9yubPx1T9Le248L1/2E7mFigJ8XLm/J\n",
       "/3eK6hGkQvhL0mPzItL213EHaVvsuI20F/kq0uHpw0mHj/vZkfRmYyNpT/GbpEPtxe2qeL/2ybMX\n",
       "/Zj5hfT2wuXfkg6NF6d3YrDevugsvw9b92Gx3d5+oKft35AO42eFafL13wu8hnSU4jbSIf1xXmtE\n",
       "KuVdlPtZBfwlqRCdAHxsjHUcCXx+hOWvolssDyEdbty3Z5lfkE4meWo+/SpgvwG3fyRp7/NZpEOA\n",
       "OwL/pbDea0mHGSG9iSiu6yWkva398/Y68yAdklvH/I/t/G/SeNshea5/GuZOC5DGlPchjfH2uoXu\n",
       "kZFeg06I+gXp0Ops4bpHkcZAF7I9cDZwMumN3W6kN5hlRbPjDOC1pG3pMtI4az9/DSwnbSu7koZH\n",
       "lhTW37vuW9l6TPj3mH+4vajKE8VuY+s+vG1AW6O2fRFp73sv0rDQJ0e8vUjlop2xuBPpJJIvFa7r\n",
       "HJ56BemQca+fkvYsOvYmHTYuHsb6P8Az8sv70D2c9kXSmNQHSIVtHamQriPt2RZlpGJ/CumF86LC\n",
       "MmW33wB8MF/23vz6B/PbHEs6kebdpDHlzjv+T5P2lq8k7SVcVmjnaNKL0k6kF+7XkU5qOSy/TcfO\n",
       "pDcBT6L/C02Wz2ujTvHZhTReeyqpD68tzO8s8ynSY/dV0tjp3qS+v560d9gZiuj1AGnbei/pJKY9\n",
       "gL8iDXMsZLv87xekbeUIUuFYaHjhHOD/ksZGPzhguZ1Ie4x3k94sntQzv/d+XQB8FPhT0vPylaTD\n",
       "8l8tLLOk5PKkPk9687k2n/5b0mNVZpS2H056rbmY1B/3svVzXqSVZum+4OzC/HfC43gL8I8D5t88\n",
       "YF5xmYUOub2A+SfXDHP795EOl/VaTjrM3c+3mT822XEM6cUS0mG87fosM6xZ2jOm3Pmc8mZS3/43\n",
       "5r+YF8eUAV5GOnpxD2kcuHP27tNIxflOUmGH+Sd6zZAKyCbSYdd3Fdo5hjQ0U/RA4bZ/QTqkexfp\n",
       "hLHPMf8Ep97DyR3/RBpD3bFkPqQ3Fmvy5TaQxrofoHvUrN/9egbpTeJmUoEsDo/0nhj298w/sesw\n",
       "0olg/cz2tN27vu1Jb3Zvy/9OZf7Z1739cBKpv4pt31SYXpa3tw9p73guv093AZfQ/3kmsqiUnXlc\n",
       "NMv8gtAZG4P0IjbqHt13mH/Gcq9+RXlXuk/2N5LOrO6nM868Pekdtg1x+87JO48Cfkh641Fc1zak\n",
       "F5IV+fQOpJNQIBWAufzyUrpnW29LGkPufFTmTOaf2HNQSf4ys7SjKC9272Z+URIR+Q+Dzjzu+Dzp\n",
       "HfD9pPG715MKxIWkjwNdy2hfeTibr2eQm/pc19k72EAqdrsW5n2N9K4a0jjfdflyxw95+0tJ92M9\n",
       "6WNbHcfnt7metAddvA8b8nYuojue/FDS3spVpDc5p9Dd89qDtNd+Vd7WKOPwncfgPrqPgUyf3Ulv\n",
       "OJ/pHUREYuo94ehdpBO3RKRabwR+zXgnRYpISzyWtBfYOfP4ctL4kIiIiPRR59nXg848FhERkR5V\n",
       "fnxhIe8jnS1ZPDP6VuZ/GYCIiMhidxWjn5BbibIzjzum9RdpmrDSO0BQK70DBLXSO0BgK70DBLXS\n",
       "O0BQKxtoo7T21f3lIWeRzgz+Hemzl/fU3N5iMusdIKhZ7wBBzXoHCGzWO0BQs94Bgpr1bLzuovxH\n",
       "Na9fREREKqLD1+XMO0BQ5h0gKPMOEJh5BwjKvAMEZQ20Ebb2hQ0mIiJSk9LaF/FXoiQx7wBBmXeA\n",
       "oMw7QGDmHSAo8w4QlHk2rqIsIiIigA5fi4hI++jwtYiISHQqynGZd4CgzDtAUOYdIDDzDhCUeQcI\n",
       "yjwbV1EWERERQGPKIiLSPhpTFhERiU5FOS7zDhCUeQcIyrwD+MlWQTYH2QWQzfRZwBoONC3MO0BQ\n",
       "5tm4irKITLvlwLOBI4BPOGcRmWoaUxaRCWUXQJZBdkXJnrJINGFrX9hgIjItshnIVqsgyxQJW/vC\n",
       "BgvAvAMEZd4BgjLvAIGZd4CgzDtAUNZAGzr7WkRERAbTnrKIiLSN9pRFRESiU1GOy7wDBGXeAYIy\n",
       "7wCBmXeAoMw7QFDm2biKsoiIiAAaUxYRkfbRmLKIiEh0KspxmXeAoMw7QFDmHSAw8w4QlHkHCMo8\n",
       "G1dRFhEREUBjyiIi0j4aUxYREYmu7qJ8InAtcDXwOWD7mttbTMw7QFDmHSAo8w4QmHkHCMq8AwRl\n",
       "no3XWZRngTcCTwGeCCwFjqyxPRERESmxO3A9sBuwDDgfOKxnGY0pi4hI27jVvjcBvwI2AZ/tM19F\n",
       "WURE2sal9j0auA7Yg7SnfA5wdM8yKsrlzDtAUOYdICjzDhCYeQcIyrwDBGUNtFFa+5bV2OjBwGXA\n",
       "L/PpLwOHAmf2LHc6sDG/vBlYD8zl05b/17SmO9MHBcuj6fjTLDC/rdMHBcsTZZoF5o8zbcCKfHoj\n",
       "Tg4ErgF2AJYAZwBv7llGe8oiItI2brXv7XQ/EnUGsG3PfBVlERFpm7C1L2ywAMw7QFDmHSAo8w4Q\n",
       "mHkHCMq8AwRlDbShb/QSERGRwbSnLCIibaM9ZRERkehUlOMy7wBBmXeAoMw7QGDmHSAo8w4QlHk2\n",
       "rqIsIiIigMaURUSkfTSmLCIiEp2KclzmHSAo8w4QlHkHCMy8AwRl3gGCMs/GVZRFREQE0JiyiIi0\n",
       "j8aURUREolNRjsu8AwRl3gGCMu8AgZl3gKDMO0BQ5tm4irKIiIgAGlMWEZH20ZiyiIhIdCrKcZl3\n",
       "gKDMO0BQ5h0gMPMOEJR5BwjKPBsPXJSzVZDNQXYBZDPeaUREJJI6akS2Cs49tc11Z8CYcjYHWZb/\n",
       "rW4skYiITIE6akRjdSfs+VSDivIFecdc0dZ3LCIiUqaOGtFY3ZnKojyT3qm0tiCbd4CgzDtAUOYd\n",
       "IDDzDhCUeQeYTB01IpuB1Zc0UHemsSi3nnkHCMq8AwRl3gECM+8AQZl3gKCsgTbC1r6wwURERGqi\n",
       "zymLiIhEp6Icl3kHCMq8AwRl3gECM+8AQZl3gKDMs3EVZREREQE0piwiIu3jNqZ8ALCu8Hc3cHzN\n",
       "bYqIiMgCtgF+BuxXuE57yuXMO0BQ5h0gKPMOEJh5BwjKvAMEZQ20EeLs68OAG4FbGmxTRERE+vg0\n",
       "8Bc912lPWURE2sa99m0H3AE8rOd692AiIiINK619yxoKcATwPVJh7nU6sDG/vBlYD8zl05b/b+N0\n",
       "53KUPFGmDwJODZQnynTncpQ8kaY710XJE2X6rej1tt9057oq12/Ainx6IwF8ATimz/XaUy5n3gGC\n",
       "Mu8AQZl3gMDMO0BQ5h0gKGugDdfa91DgF8DOfeapKIuISNuErX1hg4mIiNQkxEeiZDTmHSAo8w4Q\n",
       "lHkHCMy8AwRl3gGCMs/GVZRFREQE0OFrERFpHx2+FhERiU5FOS7zDhCUeQcIyrwDBGbeAYIy7wBB\n",
       "mWfjKsoiIiICaExZRETaR2PKIiIi0akox2XeAYIy7wBBmXeAwMw7QFDmHSAo82xcRVlEREQAjSmL\n",
       "iEj7aExZREQkOhXluMw7QFDmHSAo8w4QmHkHCMq8AwRlno2rKIuIiAigMWUREWkfjSmLiIhEp6Ic\n",
       "l3kHCMq8AwRl3gECM+8AQZl3gKDMs3EVZREREQE0piwiIu2jMWUREZHoVJTjMu8AQZl3gKDMO0Bg\n",
       "5h0gKPMOEJR5Nq6iLCIiIoDGlEVEpH1Ka9+yJlMMlq0ClgNbgKNgyWa/9fSug5ML05uA2eHmDWq7\n",
       "qvs7rGHbazpXVe03kXteGyM81uOuc9hta5Tt1fN5tdV6Kso2jRrfXoO9Hg0yKEsdOYdurxXba+Hd\n",
       "QjYHWZb/rZ5glRWsp3cd86Y3DT9vopw2Xvax2xtxubqM2y9N5B73sR53ncO2l83Bmgq2yaFz1nR/\n",
       "a2M1rntMjW+vCzyXvJ/3RYOy1JFzq3Vaybwqt9epOPt6S/5/LXCc83p611GcXj/CvLpzjmLY9prO\n",
       "VVX7TeQe97Eed53DtjfK9lpFzrrub5s0vb1Gez0aZFCWOnIO296i2F5ngLOAHwLXAU/rmV/cU57J\n",
       "3+XPTNZkFevpXUdxepR5deccxbDtNZ2rqvabyD3uYz3uOodtr6ptcticVa3He1vz1PT2GiHPsEbZ\n",
       "1ptsr9K23c6nOgM4Nr+8DNi1Z75O9BIRkbZxqX27AjctsIyKcjnzDhCUeQcIyrwDBGbeAYIy7wBB\n",
       "WQNtuIwp7w/cAZwGfB/4JLBjje2JiIhMtSU1rvtg4HLgUNLA+KnAPcDfFpbJSIe4N+bTm0mD6XP5\n",
       "tOX/Na1pTWta05qe1mkDVuTTG4GTqLf+9rUXcHNh+pnAV3uW0eFrERFpG5fD1z8HbiF98BrgMODa\n",
       "GttbbMw7QFDmHSAo8w4QmHkHCMq8AwRlno3X/Y1efwmcCWwH3Ai8vub2REREZEw6fC0iIm0zFd/o\n",
       "JSIi0moqynGZd4CgzDtAUOYdIDDzDhCUeQcIyjwbV1EWERERQGPKIiLSPmP/nvJTB9049zvg6lET\n",
       "iYiIyHwLfaPIr4ArF1hmf9IPP48jGyJDWxndb4aRLkP90o+hfiljqG/6MdQv/Rj190tp7VtoT/lK\n",
       "4DkLLLNmnEQiIiISi8aURUSkbWr5nPJjJ7itiIiIVOgnFaxDe8rlzDtAUOYdICjzDhCYeQcIyrwD\n",
       "BGUNtDH22dcfHTBvt/GyiIiISD/DnH39NuA+5lf2JcBHgD0mbF9nX4uISNuMXfvWAM8ombdx3DQF\n",
       "OnwtIiJtM3bt2x3YscIgvVSUy5l3gKDMO0BQ5h0gMPMOEJR5BwjKGmhj7DHlOysOIiIiIhU7A/g4\n",
       "8IQJ16M9ZRERaZvKa98hwKuAkydcj4qyiIi0TdjaFzZYAOYdICjzDhCUeQcIzLwDBGXeAYKyBtoY\n",
       "e0x5W+ANwMuAR+bX3QqcC3yK9AtRIiIiUoGFPif1BeAu0hjyrfl1+wLHkL485DUTtq/PKYuISNuM\n",
       "Xft+NOa8YenwtYiItM3YP0hxJ/AnPcttQ9pD1sel6mXeAYIy7wBBmXeAwMw7QFDmHSAo82x8oaJ8\n",
       "JOks69tJe8Y/yi+/Mp8nIiIiDVsC7Jn/VTkGrMPXIiLSNmPXvqdUtEwZFWUREWmbsWvfD0jff132\n",
       "twewziNYC5h3gKDMO0BQ5h0gMPMOEJR5BwjKGmhj7M8p7wJ8b4Fl7lhg/kbgHuAB0ueaD1lgeRER\n",
       "EanJzaS96n60pywiIm0z9keiqqIvCBEREVlAE8XyJuBu0uHrTwCfLMwb8ltNslXAcmALcBQs2Txc\n",
       "07234+Ty9YzbxtDtbwJmh2ubk+Erh8BLbxs/Sx33pyqjZOvtw68cNFm/jJRtwGM28HYe/W3A3Gg3\n",
       "GeX5sdBtG30ujbpOA+ZGyzyvL0bYDupQ27Zl9N1mqnq9Hbp/B7Qx9mvFJOs0Jn4uLfh8cP02y73z\n",
       "/w8D1gPPKszLgNOBlfnfW5k/yG7pL5uDLIM1Gay+ZOv5ZdPnrk+3yTLIVm89XVw+m0vz1nTmDbH+\n",
       "kdrfVL7+3vtXzDLK/a37/lQ1Pcrjee76vP8yuOguOKXk8asqX297ZdtL7+3d+9sWmN9nepTnR+/t\n",
       "B93fcZ+vtfWv9b+/g9Y/b3pT9fdnlOk6+hOo/fV26P4d8HgWn4+rLxm//ZHun/VMD3H/F3o+rMng\n",
       "mAxeeDOp1lUydHsg8FLSF4e8EnjFGOs4CfjrwvSQwbIL8o6+ArKZ4Zvrvd2g9YzbxtDtXzR821Vk\n",
       "qeP+VGWUbMP2YS3ZRmgvcn+XmWS7c30u1fCcGNgXDWx34+aO1N7Y/Tugjaq2ySru37ht9503cVE+\n",
       "DbiS9MMUpxX+FrIjsHN++aHAt4EXFNMO13w2Q3p3NWIH9t5u0HrGbWPY9kdpu4osddyfqoySbdg+\n",
       "rCPbuDmnxSTbnedzqY51DOoL78e26farer0dNG/YNup4Dja9ffadN3FRvo7xjn/vTzpkvR64Bjix\n",
       "Z77Ovi5n3gGCMu8AQZl3gMDMO0BQ5h0gKGugjbE/p9yxFng8cO2IDd8MHDTibURERFpp2L1fA84D\n",
       "fg7cl1+XAU+asH3XM9BEREQclNa+YQvijcBfkQ5BP1i4fuNEsVSURUSkfSaufZdXFKSXxpTLmXeA\n",
       "oMw7QFDmHSAw8w4QlHkHCMoaaGPiMeX1wOeA84H7Cyv98mS5REREpGPY3eeyjz+9fsL2dfhaRETa\n",
       "ZqLatxT4SHVZ5tHhaxERaZuJa993qGePVkW5nHkHCMq8AwRl3gECM+8AQZl3gKCsgTYqGVP+CvAl\n",
       "0pdqd1aqMWUREZGKDLv3e3r+v7e6a0xZRERkNGFrnw5fi4hI25TWvm2GXMF+wDnAHfnf2cC+k+eS\n",
       "Acw7QFDmHSAo8w4QmHkHCMq8AwRlno0PW5RPI33N5j753/kM9ytRIiIiUrGrhrxuVDp8LSIibTPx\n",
       "4etfAq8jfWZ5GfBa4BeT5xIREZFRzZIOWXfGlL8CPKqC9WpPuZx5BwjKvAMEZd4BAjPvAEGZd4Cg\n",
       "rIE2Jv6c8kbgjyuJIhXKVgHLSZ8dPwo4ef70ks3jrafsdsMu15Rxc4/bT5Xk3ER6kxukD+sWbZup\n",
       "2qD7N8p9r2Rbdti2qnh8m9hGFs92eFLJ39/mf5PSnvJEsjnIsvxv9dbT465n0uWaMm7upu/HvPY2\n",
       "xerDukXbZqo26P6Nct8r2ZYdtq0qHt8mtpFw2+HYY8r3Ar/u+cuANwDvqCqdjK3z7WprgeP6TI+7\n",
       "nkmXa8q4uZu+H8X21jfctrdo20zVBt2/Ue57Fduyx7ZVxePbxDayKLfDXYB3ATcDHwQeXsE6tadc\n",
       "zhZeJJvJ3y3P9J8e1rC3G3f9lbLuxXFzN30/iu3V1rZVvL6KRNtmqjbo/o1y36vYlkfuaxtyuRHy\n",
       "eK2j0jasvhz/YaLatwfwv0jF+O+A3apIlFNRLmfeAYIy7wBBmXeAwMw7QFDmHSAoa6CNsWvfh4Eb\n",
       "SYeqd64sTpeKsoiItE1p7VvoC7EfBO4Hfley0l0mCNVZR8gv5RYREalJ2NqnPeVy5h0gKPMOEJR5\n",
       "BwjMvAMEZd4BgrIG2pj4G71ERERkkdOesoiItI32lEVERKJroigvBdaRvjtbhmfeAYIy7wBBmXeA\n",
       "wMw7QFDmHSAo82y8iaL8FuA6dKhaRETE1b7AxcBz6L+nrEItIiJt4zamfApwAunzziIiIjLAsD/d\n",
       "OI4Xk35KbB2Dj9GfTvppSIDNpC9Vn8unO7dr43TncpQ8UaYPAk4NlCfKdOdylDyRpjvXRckTZfqt\n",
       "6PW233TnuirXb8CKfHojTt4H3EL6zuyfkX5x6jM9y+jwdTnzDhCUeQcIyrwDBGbeAYIy7wBBWQNt\n",
       "uNe+Z6MxZREREQjyOWUVYBERkcBUqMuZd4CgzDtAUOYdIDDzDhCUeQcIyhpoI8SesoiIiAzg/dNR\n",
       "GWQXAkfBks0j3GwVsBzYQjrDeza/POJ62mpe/y3QZ4OWHXdeE7zbn3Ye/Tdsm9P62E5r7qKqXjsW\n",
       "g4le/yL/dGOWQbZ6xJvN5bfLINtUuDzietpqXv8t0GeDlh13XhO82592Hv03bJvT+thOa+6iql47\n",
       "FoOJXv/CDt1mkF0B2cyIN7sgv7NXQHZR4fKI6wnN6lv1vP5boM8GLTvuvInYcIvV1n5UVu3qPPpv\n",
       "2DZHzmZVJZxMuG3SRr9JVa8dodlwi030+he6KI/xYGUz6d1HNjP/8qJi9a16lD4btOy48yZiwy22\n",
       "aLeLMlbt6jz6b9g2R85mkyarRrht0ka/SVWvHaHZcItN9PoXuSiLiIi0is6+FhERiU5FOS7zDhCU\n",
       "eQcIyrwDBGbeAYIy7wBBmWfjKsoiIiICaExZRETaR2PKIiIi0akox2XeAYIy7wBBmXeAwMw7QFDm\n",
       "HSAo82xcRVlEREQAjSmLiEj7aExZREQkOhXluMw7QFDmHSAo8w4QmHkHCMq8AwRlno2rKIuIiAig\n",
       "MWUREWkfjSmLiIhEp6Icl3kHCMq8AwRl3gECM+8AQZl3gKDMs3EVZREREQE0piwiIu1TWvuWNZki\n",
       "lmwVsBzYAhwFSzY7ByrRm5OTCZl7of6clv6eFuP257Q8DlXdv6jPF2+j9O+0bDNSBcc95WwOsiz/\n",
       "W+2Xo5Slf705o+ZeKFdluW2C2y4iW/WnjXm7oMbN2e/5smYK7m/TRumXadlmKmMNtKGzr/vYkv9f\n",
       "CxznGWQBvTmj5l4oV9Tc02rc/pyWx6Gq+zct97dpo/SL+nAReQjwXWA9cB3w/p75nnvKM/k76Rm/\n",
       "DMPozRk190K5ouaeVuP257Q8DlXdv2m5v00bpV/UhzVwPZ9qx/z/MuA7wDML83Sil4iItI3r4evO\n",
       "oY/tgKXAnQ20uRiYd4CgzDtAUOYdIDDzDhCUeQcIyjwbb6Iob0M6fH07sIZ0GFtEREQc7Uo6fG2F\n",
       "63T4WkRE2ibE55TvBr4GHAzMFa4/HdiYX95M2qvuzLf8v6Y1rWlNa1rT0zptwIp8eiOO9gQ6Z+zt\n",
       "AFwKPK8wX3vK5cw7QFDmHSAo8w4QmHkHCMq8AwRlDbThtqe8N3AGaVx5G+CzwP+ruU0REREZg/aU\n",
       "RUSkbfSNXiIiItGpKMdl3gGCMu8AQZl3gMDMO0BQ5h0gKPNsXEVZREREAI0pi4hI+2hMWUREJDoV\n",
       "5bjMO0BQ5h0gKPMOEJh5BwjKvAMEZZ6NqyiLiIgIoDFlERFpnxDffS0SULYKWE76idGjYMlm50BT\n",
       "aFr7sI7cUfsiaq66tO3+Vkd7yuXMO0BQVu3qsjnIsvxvdbXrbpT5NR2+D63/1XXkjtoXfXOZY6Ca\n",
       "TfQ4WA2Beunsa5ESW/L/a4HjPINMsWntwzpyR+2LqLnq0rb7WxntKYuzbCa9k85mFl5W+pvWPqwj\n",
       "d9S+iJqrLuHvb9jaFzaYiIhITXT4egqZd4CgzDtAUOYdIDDzDhCUeQcIyjwbV1EWERERQIevRUSk\n",
       "fXT4WkREJDoV5bjMO0BQ5h0gKPMOEJh5BwjKvAMEZZ6NqyiLiIgIoDFlERFpH40pi4iIRKeiHJd5\n",
       "BwjKvAMEZd4BAjPvAEGZd4CgzLNxFWUREREBNKYsIiLtozFlERGR6FSU4zLvAEGZd4CgzDtAYOYd\n",
       "ICjzDhCUeTZed1HeD1gDXAtcAxxfc3siIiJSYi/goPzyTsD1wOMK8zWmLCIibROm9p0LPK8wHSaY\n",
       "iIhIQ0LUvlngx6Q95o4QwYIy7wDNyVZBNgfZBZDNLLCwNRBoGpl3gMDMO8BoRno+TMJqXPc0swba\n",
       "cD/7eifgLOAtwK8balOmx3Lg2cARwCecs4h40/OhxZY10Ma2wNnAP5MOX/c6HdiYX94MrAfm8mnL\n",
       "/7dxei5Ynjqnt6R/X90AJ3yWrrLlF5rfxum5YHk03dzzYdzpznVVrU/T5dMGrMinN+JoCfAZ4JSS\n",
       "+Tp8LaRDdNnqmg/ViUwJPR9awK32PRN4kLT3uy7/O7wwX0W5nHkHCMq8AwRl3gECM+8AQZl3gKCs\n",
       "gTZKa199cajRAAAIjUlEQVTdh6//FX1BiYiIyFTQnrKIiLSN+9nXIiIisgAV5bjMO0BQ5h0gKPMO\n",
       "EJh5BwjKvAMEZZ6NqyiLiIgIoDFlERFpH40pi4iIRKeiHJd5BwjKvAMEZd4BAjPvAEGZd4CgzLNx\n",
       "FWUREREBNKYsIiLtozFlERGR6FSU4zLvAEGZd4CgzDtAYOYdICjzDhCUeTauoiwiIiKAxpRFRKR9\n",
       "NKYsIiISnYpyXOYdICjzDhCUeQcIzLwDBGXeAYIyz8br/j1lkRbKVgHLgS3AUbBks3MgqZQeX5lE\n",
       "tgqWeIcopTFlWYSyOciy/G+1dxqpmh5fmUQ2h8aURRq1Jf+/FjjOM4jUQo+vTGLLwov40Z5yOfMO\n",
       "EJR5B1hYNpP2oLKZBhu1BtuaNlbt6lwe3zqYd4CgrN7VZzMMqH0aUxap3JLNwGu8U0hd9PjKJGKf\n",
       "g6A9ZRERaRuNKYuIiESnohyXeQcIyrwDBGXeAQIz7wBBmXeAoMyzcRVlERERATSmLCIi7aMxZRER\n",
       "kejqLsqfBm4Hrq65ncXIvAMEZd4BgjLvAIGZd4CgzDtAUObZeN1F+TTg8JrbWKwO8g4QlPqlP/VL\n",
       "OfVNf+qX/lz7pe6i/C3grprbWKym/duC6qJ+6U/9Uk5905/6pT/XftGYsoiISBAqynHNegcIatY7\n",
       "QFCz3gECm/UOENSsd4CgZj0bb+JHHWeB84En9pl3A/DoBjKIiIhEcRUlY9feP0jxB87ti4iItMbn\n",
       "gduA+4BbgNf7xhEREREREREJ7HBgA/Aj4B3OWTztB6wBrgWuAY7Pr98d+Abwb8BFtPfjC0uBdaTz\n",
       "EkD90jEDnAX8ELgO+EPUNwAnkp5LVwOfA7annf3S74ubBvXDiaTX4g3ACxrK6KVf33yI9Fy6Cvgy\n",
       "sGthXiv6ZinpJK9ZYFtgPfA4z0CO9qI74L8TcD2pL04G3p5f/w7gA81HC+F/AGcC5+XT6pfkDODY\n",
       "/PIy0otI2/tmFriJVIgBVgPH0M5+eRbwZOYXnrJ+eDzpNXhbUh/ewOL+ZE6/vnk+3fv8AVrYN08H\n",
       "vl6Y/p/5n8C5wGGkd2WPyK/bK59um32Bi4Hn0N1TVr+kAnxTn+vb3je7k97U7kZ6o3I+6cW2rf0y\n",
       "y/zCU9YPJzL/aOXXgafVHc7ZLOVf//xy4J/zy433jVfFfyTpxK+On+bXtd0s6R3cd0lPntvz62+n\n",
       "+2Rqk1OAE4AHC9epX2B/4A7S19h+H/gk8FDUN3cCHwF+QjrBdDPpcG3b+6WjrB/2Ib0Gd7T99fhY\n",
       "4IL8cuN941WU9ZONW9sJOBt4C/CrnnkZ7euzFwObSOPJZZ+nb2O/QNoLfArwsfz/vWx9pKmNffNo\n",
       "4K2kN7f7kJ5Tr+1Zpo390s9C/dDWPvob4H7S+Qhlau0br6J8K+kEp479mP9upG22JRXkz5IOX0N6\n",
       "J7tXfnlvUoFqk0OBlwA3kz5a91xS/7S9XyA9V34KrM2nzyIV55/T7r45GLgM+CXw76QTdp6O+qWj\n",
       "7LnT+3q8b35d26wAXgQcXbiu8b7xKspXAo8hvaPdDngN3RN52mYJ8CnSGbSnFq4/j3SSCvn/c2mX\n",
       "d5KeDPsDRwKXAK9D/QKpyNwCLM+nDyOdcXw+7e6bDaTxvh1Iz6vDSM+rtvdLR9lz5zzSc2w70vPt\n",
       "McAVjafzdThpqOylwG8L17eqb44gnZRxA2kwva2eSRozXU86VLuOtIHsTjrJqU0f4yjzbLpv2tQv\n",
       "yYGkPeXiRzjUN+ns4s5Hos4gHYVqY790vrjpfrpf3DSoH95Jei3eALyw0aTN6+2bY0kfefox3dfg\n",
       "jxWWb1PfiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiEjBy0hfDHNA4boDSV+cU4c50hcc\n",
       "vDiffjXpizQeIH0NZ92+DtxF9xe9Os7Mc11N+va6Zfn1e+a3WU/6LfEV+fU75NfdR/rCCxERkYmt\n",
       "Jn0T2crCdSuAj9bU3hrmF9/Hkr6Ks/f6ujyX9IagtygX34R8Dvjz/PJK4P355T1J31m9rLDszago\n",
       "S8ssyh9rFglgJ+APgf9O+m53SN+f+558eh1pT3Z30ncQXwVcDjwxX3Yl6WsiLwU2Aq8APgz8ALiQ\n",
       "+cWrqPiLWhtIX6k4iAHfzDPcSPpx99eRvt/3B8DvL3D7okuAX/e5/sLC5bV0f/ruZ8Au+eVd6P6Q\n",
       "hIiISKWOBv4xv3wp3T3VY4B/KCz3UeDd+eXnkIo1pKJ8KbAUeBKwhe737n6Z9MX5vcr2iAftKRvp\n",
       "kPMjSG8abqW7Z3886TetAY6i+73Axb8v9llf755yx7bA94Bn5NNLSYfcbyP9XGnvYX3tKUvrlL3b\n",
       "FpHJ/CndgvalfPr7pD3Z4t7sM0h7wZCK5x7AzqTfbL2QNB58Demo1r/ky11N+oW1qqwl/awfpC/e\n",
       "77RzDemNAqTDzoN+Y3YYHyPtlX87nz6RNHZspN9C/gZpzL3398RFWkNFWaR6u5OK2RNIxXUp6YSv\n",
       "E0qWX1Jy/f35/weB3xWuf5Bqn7v39az7vsLlTjtHA2/rc9sbSIfhO8p+AP4k0huONxauOxR4b375\n",
       "RtKe8QGkn3YVaSWNKYtU71XAZ0h7s/sDjyKNCz8LuIe0J9zxLbo/qm7AHaQ9xbJCPa7i+h5J+gm/\n",
       "UZwJPLnP36t7luuX+8+AF5AOgRdtIP3mMaTD5wcAN42YS2RRUVEWqd6RwDk9152dX78GeDzdE71W\n",
       "Ak8lnej1Pro/Qp8xf6+zdw+0bI+06OWk34t9GvA1uidc7U13z7u3nd42hmmn41ukMebn5e0+P7/+\n",
       "48DDSSeyrQPelV//PuBg0n2/mPRbyHeO0J6IiEhYa0gFfiFvpvtZ5sh0opeIiEyts0kngU1DwR3k\n",
       "IaQTwG4BZpyziIiIiIiIiIiIiIiIiIiIiIiIiIiIiIhIOP8f0QPV1JxmVRQAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa78ed17f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAesAAAFCCAYAAADR4PWHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XvQNFV94PHvs9wFuVa4g68S8cpFvC1Eg1hsIArEmIrR\n",
       "KEXAuBtrDVgxBjAxsFu7tWjUuJsUSRSMiGJERQNZViHqi9mQFblfXwkKQSSAwbBgahEIs3+cfnjm\n",
       "GWb66e6nT/c53d9P1dQzM8/M9OnTl1+fX58+DZIkSZIkSZIkSZIkSZIkSZIkSZKkETka2AT8PXBq\n",
       "z2Xp0z7AN4BbgJuBk4v3dwYuB24HLgN27KV0/doMuA64pHhtnYR5/gJwG3Ar8EqsF4DTCdvQTcAF\n",
       "wFaMs14+AdxPqIdlZfVwOmEfvAn4uY7K2LV5dfIHhG3oBuAiYIep/42hTirbDLgD2ABsAVwPvKDP\n",
       "AvVod+Dg4vl2wHcIdfFB4HeK908Fzuq+aL37LeAzwMXFa+sEzgNOKp5vTtjJjL1eNgDfIwRogM8B\n",
       "JzDOenk18BJWB6ZF9fBCwr53C0Id3gH8m05K2a15dfLvWJnXsxhfnVR2KPCVqdenFQ/Bl4EjCUd1\n",
       "uxXv7V68HpO9gb8GjmClZT32OtmBEJRmjb1ediYc5O5EOIC5hLAzHmu9bGB1YFpUD6ezOqv5FeDf\n",
       "xi5cTzawuk6m/SLw6eJ5b3WS6hHBXsD3p17fU7w3dhsIR4DfImxc9xfv38/KxjYWfwi8F3hy6r2x\n",
       "18mzgR8Cfw5cC3wc2Bbr5UfAh4G7gXuBhwhp37HXy7JF9bAnYd+7bKz74ZOAS4vnvdVJqsF60ncB\n",
       "ErQd8EXgFOCRmf9NGFedHQM8QDhfvbTgM2OrEwitxkOAs4u//8LTM1JjrJf9gHcTDnb3JGxLb5v5\n",
       "zBjrZZ616mFsdfS7wGOEfg6LdFInqQbrHxA6Vi3bh9VHM2OzBSFQn09Ig0M4At69eL4HIXiNxWHA\n",
       "ccCdwGeB1xLqZsx1AmEbuQf4dvH6C4SgfR/jrpeXAVcCDwJPEDoMHYr1smzRdjO7H967eG8sfg14\n",
       "HfDWqfd6q5NUg/XVwHMJR8JbAr/CSieisVkCziX07P3o1PsXEzrJUPz9MuPxPsIG82zgzcDXgeMZ\n",
       "d51ACD7fB/YvXh9J6AF9CeOul02E84rbELanIwnb09jrZdmi7eZiwva1JWFbey5wVeel68fRhNNs\n",
       "vwA8OvX+mOtkoZ8ndAq5g3BSf6xeRTgvez0h7XsdYUXamdDBakyXncxzOCsHctYJHERoWU9fcmK9\n",
       "hN7Oy5dunUfIVo2xXj5LOG//GOHA7kTK6+F9hH3wJuCoTkvandk6OYlwadY/sLLPPXvq82OoE0mS\n",
       "JEmSJEmSxsLhRCVJSpjDiUqSVFFfl269ghCs7wIeB/6C0EVekiTN2Lyn6c4bTvSVM58Z20g5kiTN\n",
       "HZWxr2BtIB6YyWT1Il1aWjQKqCT1b3afNS3F/VdfwdrhRKURm95Rprhj1LjksA72dc7a4UQlSaqo\n",
       "r5b1E8C7gK8SeoafC9zWU1kkSUpaym3/1s9rm3qLx3PWmuX2pjJl+4w6+5M21rPE9l9zJ57qXbck\n",
       "SVLBYC1JUuL6OmetEYmRYkosbSWpJrfZemxZS5KUOIO1JEmJMw2u6NpKd5WNOKT2tHWKwTSn1B5b\n",
       "1pIkJc5gLUlS4lLOU5nznCPVgSbsnS2pLSPfnzgoiiRJOTJYS5KUOHuDZybVdFDVsXvX+qwk6els\n",
       "WUuSlDiDtSRJiTNYS5KUOIO1JEmJS7mnT+vXWad6jfIQeGctSWqF11lLkpQjg7UkSYlLOa/ocKOS\n",
       "pLExDS5JUo4M1pIkJc7hRhWdvbolaX1sWUuSlDiDtSRJiUs5H2lvcEkaoZGfOrM3uCRJOTJYS5KU\n",
       "OHuDS5KexnsppMWWtSRJiTNYS5KUuJRzG/YG1yqm5VTG9aMfI++5HYO9wSVJypHBWpKkxNkbXNIg\n",
       "mH7th/XeDVvWkiQlzmAtSVLiUs5f2Btc0kL2QtZA2RtckqQcGawlSUpcynkj0+CSpLExDS5JUo4M\n",
       "1pIkJc5BUdSKsp659tqVhsvtuxu2rCVJSpzBWpKkxJkGVyu6SH15C0QpPW6L3bBlLUlS4lI+JPI6\n",
       "60hidAjJ5TclaVZi+5perrPeB/gGcAtwM3By8f7OwOXA7cBlwI6RyyFJUrZiHz7sXjyuB7YDrgHe\n",
       "AJwI/BPwQeBUYCfgtJnv2rKOJJdWcGJHu5IGKrF9zdyJd12iLwN/XDwOB+4nBPONwPNnPptMsLZj\n",
       "09q6WNldDpJGoPfhRjcALwG+BexGCNQUf3frsBySJGWlq2C9HfBF4BTgkZn/TUioFS1JUmq6CNZb\n",
       "EAL1+YQ0OKykvwH2AB7ooByNLS0tPfUYgslksuqRi6EtB2kIct2f5CZ2sF4CzgVuBT469f7FwAnF\n",
       "8xNYCeKSJGlG7CbKq4BvAjeykuo+HbgKuBDYF7gLeBPw0Mx3PUSLxJ7bktritt+6JHqD15FMsB5a\n",
       "L2Q3LklKVu+9wSVJUgMGa0mSElc3/7kL8GCMgsyRTBo8Jamm5E2tS1IraqfBPwD8VPH8ZcD3CAOa\n",
       "3A28ps2SSZKkxcqaPzcDLy6ebwTeC3wb2B/4LPDSqCWzZT2XLWtJGrS5O8/NS76wGWFAk8eBrQmB\n",
       "GsKdsrZstWiqLJfLrFI9qNB8Lq/0pbqMPFDvRlka/GzgUuC1wFeA/064+cZ/ItxFS5IkdWCtQ6Aj\n",
       "gHcCzyW0wu8hjDb2CUKLOybT4JF0MShK27+vuFJttWlFqsvIlnXrHBRF8bjB5i3VQCCNUO1z1gD7\n",
       "AW8E9gb+lXC++gLg4VaLJkmSFio7Z30K8KfAVsArCJ3M9iVcvnVE/KJJkiRY+9Ktgwgt6mcA/4vQ\n",
       "wWxfwl2zDo5cNtPgGTENXk2q6eZUyyWtZYDrbu1BUSaES7cgtKq3LZ7fPfW+JEmKrOyc9TmEa6u/\n",
       "BbyaMKIZwK50N+SoJEmjt1bO4MXA8wkp8U3xi7OKaXCpIwNMJUqN9bw9eOmWpPkM1tKKFIO1t8iU\n",
       "JClxKR9C27LWKrb+JI2ALWtJknJUNVhfWPz9fKyCSJKk+dYabnTZc4u/Px2rINJaTH3H4ykGKW2m\n",
       "wSVJSpzBWpKkxFVNg/fKcaeVsiGsn03LPIT0eS7zkEs5FYcta0mSEle1Zf0Hxd8PxSpIGY8i0zeE\n",
       "1mVTY5rXWUNokfc9/apyKafiSHnpOyhKRsYcrFVfSsFaSoyDokiSlKMsOpjlytaDNFxu3+qSLWtJ\n",
       "khJXpWW9NfBLwIapz0+A/xypTJIkaUqVYP2XwEPANcCjcYszLDFSY6bepDS4/alLVYL1XsBRsQsi\n",
       "SZLmq3LO+krgwNgFkSRJ81XJ49xGuNvWncBPivcmxA/gXmedEa+zVh19ns5xXa3POuvU3Mqtkgb/\n",
       "+ZYLIkmSakj58MiWdUY88lYdtqzzYp11qnHLWpIGw0BTn3XWv7IOZlt3VgpJkrRQWbC+svj76S4K\n",
       "IkmS5itLg28FvBU4DHgjq/PoE+CiiOWSlIGm555Nq0r1lAXr3yAE6x2AY+f832AtSVIHqhze/jpw\n",
       "TuyCzGFv8IzYW3ScHP5Wat3cDanK1rUl8E7gZ4vXG4E/BR5vpViLGaylxBmspdY1DtbnEtLl5xWf\n",
       "Px54gtDijslgLSXOYC21rnGwvpGnDy067722GaylxBmspdbN3ZCq3MjjCcLY4Mv2K95TYiaTyVMP\n",
       "qQtLS0tPPSTFU2UEs/cCXyfcyANgA3BirAJJkqTVqh4Obw08j5Cavh14NFqJVtg8rMmUpCRlr/E5\n",
       "6/XaDLgauIdwvfbOwOeAZwF3AW8CHprzPYN1TQZrdc11Tmpd43PW63UKcCsrwfc04HJgf+BrxWtJ\n",
       "krRA7GC9N/A6wqAqy0cLxxEuA6P4+4bIZZAkKWtVgvVFwOsrfnbWHxI6qD059d5uwP3F8/uL11Jr\n",
       "pnvF2zO+P6kuA9ePccp9uVcJwH9CGCP8DuAsQkezKo4BHgCuY/G58Qmem5YkqVSVYH058KvAIYQO\n",
       "YV8j3D7zRGCLku8dRkh53wl8FngtcD6hNb178Zk9CAFdkiQtULX75i6EYUbfBtwLXAC8Cngx8JoK\n",
       "3z8c+G1Cb/APAg8CHyB0LtuR+Z3MbHGrEW8q0p0ce4O7foxTRst9bsGqDIryJeD5hFbxscA/Fu//\n",
       "BXBNjQIs19RZwIXA21m5dEuSJC1Q5dDidcClM+9tBfyk/eKsYstajWR0BJ09W9bKRUbLvfF11v91\n",
       "znt/t76yjEPXPQ9z7ukoabVcei/nUs5UVa27sjT4HsCewDaEzmVLhNbu9sAzWiqnJElaQ1mwPgo4\n",
       "AdgL+PDU+48A74tZqKFIOM3SupRSTGOqd9WXy/phOduVajmrlqvKp34J+OK6StOM+ZSa+jx/mFKw\n",
       "VndyPGctJa72jTyOJ/QAfw+rA+dyOvwjrRVtPoN1TQZrdc1gLbWu9qVby+eln8n8YK01dL0jS3Vn\n",
       "aSBXDDHWK9dVpSrlNTH7A4IxtTrKdnLuAIdraNkc11UloHbL+o9K/jcBTl5XcSRJUiVlwfoaVlq3\n",
       "s5E++1ZvF8qOyofW6h7CPCgvMdY512OlKuU1c9AHBEML1mVMLQ7XmNZjqSONxwbfFfgd4IWEAVIg\n",
       "BNLXtlMuSZJUpspwo58BNgHPAc4k3Hzj6nhFimdoQ+INcZi/oc2PlJIx7zO6mPeYv18lWO8CnAM8\n",
       "BlxBuI+1rWpJkjpSJQ3+WPH3PuAYwv2sd4pWIkmStEqVHiHHAn8D7EO4nGt7Qjr84njFAgbewUwa\n",
       "AjuYKRcZdXStPdxo3wzWUuIM1spF7sG6am/wdwAbpj4/AU5qpViSJKlUlWD9l8A3gcuBJ4v3Om31\n",
       "ZnREtErVVkdb8xe7leOQomlKpXU7hHWg6Tx0Me+pLOeUDWEdXKRKsN4GODV2QSRJ0nxVLt36K+D1\n",
       "sQsiSZLmq5Ij+DHhdpmPAY8X700IvcJjeiqfMeTUxnp0XS+5pMFTKksXUrrz1bQc6z3lNHifhjB/\n",
       "GS3bxh3Mtmu5IJIkqYYqwRrgF4CfJbR2rwAuiVYiSZK0SpVgfRbwcsIY4UuE+1gfBpwesVyr5Jhy\n",
       "GaJclkMu5ZzVNJ2d6/wuYq/nNOQydnjT9SW39axKCW8CDgb+tXi9GXA9cECsQhXyWFN6lNJ5pJTK\n",
       "kqvcdh4Q55x1SufgEz6vGV0u/RGaXiI7rYtLa2uYO4EqvcEnwI5Tr3fEQCpJUmeqpMH/G3AtsLF4\n",
       "fThwWqwCzTPEo9Y2pFQPKZUlV9Zh0Gc9NJ32EJddjpmROqqWLZV5qFqKPQnnrSfAVYQ7cMXmpVtS\n",
       "4nJJlao7XQfrrkeK7EDtG3m8ALgNeCkhcC5/dnmOr22taPMZrKXEGaw1y2C9brWD9ccJN/DYyPxz\n",
       "1Eesv0ylsj8v3sZKW2dnmNJKm2MnIa2PgTuuXNLLKe2HyqYXY9otLSNvkdk1g3W836867T6mP1YG\n",
       "67gM1uuTe7Cu0hv8l1kZWvT9wEXAIU1LIUmS6ql6nfUBwKuA/wJ8CPh94BURywUDaFl3LaUj75TK\n",
       "onhczlLrGreslwdDOYZwHvuvgC1aKpQkSVpDlWD9A+BjwK8A/xPYuuL3JElSC6rkrbYFjgZuBP4e\n",
       "2IOQFr8sYrnAS7fmKks72qlLTXU9vnIb35vVxtCgba3HXXcuHbpUO61Fsq7e4JsDu7J6xLO711ui\n",
       "NRis5zBYKwaD9dr/q8Ng3S6DdbXhRn8TOAN4gJXz1xD/Rh6qKdMVUwloY92ps6Psc1jPGOWK8Ttu\n",
       "z5pWZW34LqHn94ORyzLLlvUcqfa+dRmNk60/dcGWdbWOYncDD7dbFkmSVFWVNPidwDcIPcEfK96b\n",
       "AB+JVahZQ76heF1l59cWfW7W0Ecw69uY511rc/1oV4x+E133xaiiSrC+u3hsWTwkSVKH6oT+bYF/\n",
       "iVWQORqNYDamo9aUWtaeu1zhOhgMfd6bGtP60ZauW8E9t6wbn7M+DLgV2FS8Pgg4u2kpmphMJqse\n",
       "YzZdD0tLSwsfZep8tqnYv5+yMc97Dvren7h+BG0th+n6jPGbXXyviirB+qOEQVH+qXh9A3B46yWR\n",
       "JElzVR02dHYAlCfaLogkSZqvageznymebwmcDNwWrUTrlFJqqetrAz0X1q5c6jOXck7Lscwarhz6\n",
       "XlRpWb8T+I/AXoSberykeC1JkjqQxiHDfNmPYBajZe3Y4N3JpfWX0nKf1nQ9jm2I62qO2trvtfGb\n",
       "ZXpYPxqPDf4cwvjgG6Y+PwGOqzjhHYFzgBcV3zuRcPeuzwHPAu4C3gQ8VPH3Gut6B1F1Gu4sxqmt\n",
       "oNHn+lN1kJ6UuL2loc5yiL0vLWv4pKLKnN1ICLY3A08W702AKypO47zis58gBPttgd8l9C7/IHAq\n",
       "sBNw2sz3Wm9Z59JSKmPLujux63NodRajpSTFkuq+lHXcIvMqwo08mtgBuI7QOp+2iXD51/3A7sBG\n",
       "4PkznzFYz5HqCja0wAMG67oM1spJqvtS1hGsjwf2A74K/GTq/WsrfPdg4M8Ig6ocBFwDvBu4h9Ca\n",
       "Xi7Dj6ZeL2s9DzG0HURKPRhTKksuhhCsu17uQ9iGhzAPXasaWGeVnaapWvc9bKeNz1m/iBCwj2Al\n",
       "DU7xei2bA4cA7wK+TRhgZV66O70TBJIkJaJKsP5l4Nms3HGrjnuKx7eL118ATgfuI6S/7wP2AB5o\n",
       "8NuSJI1Cleusb+LpKeqq7gO+D+xfvD4SuAW4BDiheO8E4MsNfz9pYxrPvOk45WNmPdVnfY1TG/c9\n",
       "mP1fbvvnKmv8FcCBhNbx8jnrOpduHUToTb4l8F3CpVubARcC+7L40q3sz1l33UFpmjszdcF1sD7P\n",
       "Wbcr9h2yUjlnXWWqr1nw/samJanIYF3j92e5E1AXXAfrM1i3y2DdvzxyEyUcG7xdQ5+/HLiuaihy\n",
       "u3Sr7Jz13xZ/fww8MvN4uNWiSZKkhVI+pLVlHWl6uRr6/OXAdVVDkVvLuuzSrZ3X+MEfNS9Levpc\n",
       "OO6sqkl4EIPRarrduEzSM/TtJpde34uUBetrCa3bJUKv7X8u3t8J+AfCtdeSJCmysnPWGwgB+XLg\n",
       "GGCX4vH64j1JktSBKnmOm4EXV3ivbZ1euhUjDT6m83JDT6HFkGOd1Uklxr4/cY7117ch1mfTdWla\n",
       "W/GgpX1+47HB7wV+D/h08SO/CvygaSkkSVI9VYYbfQuwK/Al4KLi+VtiFkqSJK1IOc9hGrzG78/q\n",
       "+v7LMVJoGd3SrpFcylmm6TrYxm0Nu1g/hnYqawjrXFO5p8GrtKwlSVKPDNaSJCWuSgezUcglHVQ1\n",
       "lR9DWR3lUn9dqJoKa2P0r/X8Tp/K0tmLPlfnf20ZU4p8bGIss5jrQZVgvQ3wduBFwNbFexPgpFiF\n",
       "kiRJK6qkwc8HdgOOItwWc2/CzT2y0/WN62NPb/rm6X0PpRejLGU3kh8z62V92qq/HJeB686KGPvO\n",
       "mPvjKkvreuBg4EbgQGAL4H8Dr2y9NKvlPZBrJFVXgq43xJRSs32XZUzp0TauSOh7eWkcxtAb/LHi\n",
       "7/8FDgB2BH6qaSkkSVI9Vc5Zf5xwB67fAy4GtgPeH7NQuYpx/WbTo8GupdQa6vs6+ZTqIraqHcWq\n",
       "/kbfxtzKz3XehzaexcJpVfjMc4DvVXivbdmlwVMK1rlsaCmzPuvJdWc/bQjz0FSu895nwyfSPrhx\n",
       "GvwLc977fNNSSJKkesrS4C8AXkg4R/1GQrSfANuzcgnXYLRxRNTFdXuppGTGwPocnx46EyWj706p\n",
       "0/q+BrqN0zttKwvW+wPHAjsUf5c9ArwjZqEkSdKKKocahwFXxi7IHJ0eznR9lNzzpQFS63I959mU\n",
       "2+L6tNWyTqmDWcxz1lV+bXkEsxcWz5dLE3sEs6fmuoudQI7BetYQdhhDmL821qWu73DW1BCWV9f6\n",
       "DPK5Lq+mwyy3Maxt07L00cFseQSzowkjmO1DpiOYSZKUoyrB+qcJ11X/GDgPeB3xRy+TJEmFKoOi\n",
       "zI5gdh8DHMEsRpoxRjpUin23rjop+K7FTuMOfVyDOtchx97vtTW92OtnW7+53vXFEcwkSUpcyoeD\n",
       "nXYwWzXhDo4w2xh1Z1YuR/dlcu0AMy12B7Omum5Z990zN/bvD+2KjpRb1m38ZtN1p611osZyr90b\n",
       "/D3T02FlUJRlHymbWguyD9Z1plF1eh30RFRHUjrd0mRabU2v797tQzhAzFHX61LT6fWwnc79Z1ka\n",
       "/JmEgPk84OWEFPgScAxwVc1ySpKkhqocIvwNoQf4I8XrZwKXAq+OVaiCLes1vmfLOm+2rOP95nqm\n",
       "P83tKB5b1gvVblkv2xV4fOr148V72Uk1mA2hp3jfO9wyqS73rrWxjGKMVZ/rMhnaOeuu9T3vMZZD\n",
       "zGVbJVh/ipD2vogQ8d9AuN5akiR1oGrofykh7T0BvglcF61EK1pPg3d9/V8bZSn7Xpm+U4l9HzVP\n",
       "S7UlM4T1eggp5BinpKpOL5c6ykUXvcE7OE1Zuzd43ybLM9d1iqLpwinTxaVbZdMrM6axrMvkcilJ\n",
       "UzGm1+elVHWkdGCS0tjgMQJP1/MXY2zwnvsUzf1nleFGJUlSjwzWkiQlrkoHs94spwq6TqPW+f3Y\n",
       "49LGSJHHEGN0p7JpxFgnmi73WW2cuuhinU/1dMS0vlOsZWKcz46trXTvEC7Zy40ta0mSEmewliQp\n",
       "cUmnwZflMmhInRRTU1V7G9aRUvqpjYE0+k6vtTEPuaS9Y58GKpte19o6TZLj9tb3b5bt92L0+E6R\n",
       "LWtJkhJnsJYkKXFZpMGb6jvd1HVvSim22Kd2oPsbLHQt1Z7iKV91k4uY+3xb1pIkJc5gLUlS4gad\n",
       "Bq8j1dul5ZLqLitn3+m1Psc4TilVW3Wc8jqpvKbrZ0qp4K7HaI+d5s/xPump6foqhypsWUuSlLjY\n",
       "wfp04BbgJuACYCtgZ+By4HbgMmDHyGV4ymQyeeqRi6WlpVWPPk3X31p1GLvMdcrS1BDmIVWprNPr\n",
       "KUvTZddkG6p7jXeX3+tbjG0oxe0yZrDeALwDOAQ4ANgMeDNwGiFY7w98rXgtSZIWiBmsHwYeB55B\n",
       "ODf+DOBe4DjgvOIz5wFviFgGSZKyF7OD2Y+ADwN3A/8P+CqhRb0bcH/xmfuL16XaumF6VTl2Cmrr\n",
       "N8s0vXtW30Ma9jn0Y4xpx1h+Xd/xqw2plkvVtLWeNd0ndr3+rHefGLNlvR/wbkI6fE9gO+BtM5+Z\n",
       "FA9JkrRAzGD9MuBK4EHgCeAi4FDgPmD34jN7AA+s9UNnnnkmGzdujFNKSZISFzMPcBDwGeDlwKPA\n",
       "J4GrgGcRAvgHCJ3LdmR+J7OnWty5pOW6LmfX14fWMeZrNGOfiklpe2hjHUx5fsa27nap69ObdTRd\n",
       "r1sq59wvxjxnfQPwKeBq4EngWuBjwDOBC4G3A3cBb4pYBkmSspfyYaMt65rT63Laa7FlHdiyrv8b\n",
       "Kc3P2NbdLtmyXjyJeW863GhEbQxlWbZCp3wz9VR3cl3sINqY9657sLexPna9/vUdWIdwQJryAb9W\n",
       "c7hRSZISZ7CWJClxo0qDpzRQRxtSSntrRYyUciopyTqnXmLf0aypGINxaP26HtAqlXWw6rRtWUuS\n",
       "lDiDtSRJiRtVGjxHuabamqaY2kghl+m6V3eM34+RIu/6tFCf63Xf21Qq6ddZbZ2qqPq9tq5mafq9\n",
       "pmPlN5Xy2OCSJKkFBmtJkhJnGnyOVHvipqytVFHXPaJTSknGSOWrnrbqNtUBU8pSz33v93Lokd0n\n",
       "W9aSJCXOYC1JUuJGlQZPNdUxhHRo14PrtzW9PgfHaau3dNv10tb430MbhGhW2fz1XbZpqV6Z0Zam\n",
       "62efgxA5KIokSQNksJYkKXGjSoM3vVg/tqapqbZ+s+m0Y6eRcu2Z2/UYxymlXMek6bjTKe9fmnyv\n",
       "7/Wv6j6xiwFhyqz3d2xZS5KUOIO1JEmJSzl/9lQeou/ehjHEuI3ios91oa2y5DZQwXqkuvzaOi0T\n",
       "u2d62WeHfovFGFJaH+toWu5Ub+HKgrhsy1qSpMQZrCVJStzgeoPnmJoqS721dRu5NsrS9W/mevqj\n",
       "jasOup73psukT12XJZVbJcbS96mzLgci6WIabc+PLWtJkhJnsJYkKXGDS4NPa3oRfJm+01ZNx8Gd\n",
       "1sUAJk3TQanOX9k0uh70IpfTCm2kBPve3lJK+7chRm/3LnqRV93e2tpnlP2vrVNbVb4zzZa1JEmJ\n",
       "G1zLuukRYNPfbEOM4UZjTK9p3ebSUSzGEXSOLcq+O/7EHuay6XIewjo+K0ZLNIY29ut1sn9Vl3XT\n",
       "rGETtqwlSUqcwVqSpMQNLg0eW9d3nhqbpnfQaWNYwTrfK9P13chiXNfdZNpln43RCanpb7a1DqR6\n",
       "Wi2lcRvK5DoMcRsdOpvMjy1rSZISZ7CWJClxpsELbfRA7Ts904a2ei/H7rUeYznEWH5drBM5rHcp\n",
       "122MUxN9ymWdS/m0YRvXbre9j7JlLUlS4gzWkiQlzjT4HENPz3QtpfrrQhs9V7u+6mBsy6hPKfVs\n",
       "ntZ3T/FU66VMF0OtLrNlLUlS4gzWkiSV2LhxY99FGFewXlpaeuqRq8lkwhlnnJFcCnwymax6NK3r\n",
       "6e/N/mYMfa4TTedvusxdl7tOmWMvuy7Wj6ZSLVeZ6X1LH+VuY58R63uLgvXsthhzuxxVsJYkKUcG\n",
       "a0mSEpdyPngjcHjfhZAkqSNXAK/puxCSJEmSJEmSJEmSJEkaj3cBdwBPAjtPvf9W4AbgRuBvgQOn\n",
       "/nc6cAtwE3ABsFWN6R0OHLqO8kqSNDoHA88C7mR1sD4U2KF4fjTwf4rnG4DvsRKgPwecUGN6ZwLv\n",
       "aVZUSZLSswHYBPw58B3gM8DPEVq6twMvb3Fas8F62k7APcXznYuy7ES40c8lwJFzvnMsIcBfC1wO\n",
       "7EqYn38sfus64GeK975OaMX/NbBP8f1PAmcDfwd8l3C5ynnArYT6ANis+NxNhAzAu6vOrCRJbdkA\n",
       "PA68iDDmwdXAucX/jgO+NOc7+xMC4ezjWmD7kmmVBevfBj429frfA48ADwDnL/jOjlPPfx34UPH8\n",
       "DOC3pv4auSfuAAABlklEQVR3CXB88fxEVubpk4QUO4R5fZjV9XAQ8FLgsqnf2gFJkjq2gdCCXnYe\n",
       "8Jbi+XMIQbgti4L1EYTW7E7F6/2K17sQWtZfIpzfnnUAIZDeSMgOXFq8fwar0+A/JLSQAbYoXkNo\n",
       "PU/P62w9HEc4ILgD+B/AUaQ9iJMUlcONSv36ydTzJ4HHpp7Pu9/885jfsr6O+i3PA4GPEwLjPxfv\n",
       "vQy4EngQeAK4CDhsznf/iBBEDwT+A7BNyXQWBdnpeZ2thy2Ahwgt7I3AbwDnlM2MNGTzdgaS0vUd\n",
       "4CUNvzsdNPclBOK3EVqvyzYB7ycE30cJ56uvmvNb2wP3Fs9/ber9R1idjr8SeDPwaUIL/Zs1yrsL\n",
       "4TTBRYSW96KUvDR4tqylfs3ei3BS8r8mTga+D+xFSFkvn5v+fULq+08IrfLlgHwD8CnCeeMbi/em\n",
       "z2cvOxP4fPG5H06V9RLgF1npYPabhHPVNxCC9SlTv1E2r5OizN8ofut84LQ151aSJEmSJEmSJEmS\n",
       "JEmSJEmSJEmSJEmSJEmSJMX3/wEY7ZD9FfK6kwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa74cfbbd10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHMCAYAAABY25iGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXe8HWW1v585J+2k994IKSSUhN5BOoIIiILSFRARBa6N\n",
       "osi9V7xe9SeigqLoxQIoKChNmkIiIL2F3gkJJQHSe3Kyfn+sNWfPOdkze/Y5e++ZfbKez+dk9p62\n",
       "vvO+613rfd+ZPQHHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzH2dSYCUiGfzNzqCtOU151\n",
       "ZanJdblvbWq64jTlVVeWmupRVyLSnoMqSJz9LHUl2c6jLq/D8uznsQ5Lbas2eSyrJPt5LKtS26pN\n",
       "HssqyX4udTXUWoXjOI7j1COeMB3HcZwIMgYk6xFeLvGE6eQIacxaQXqkO0iQtQrHqQIjshaQVzxh\n",
       "Ou1E/hPk4AqebxKwvnLnqzqrgU/X3qwMrr1NZxNjQ9YC6pWsh+V5vCGc4U19mQfymTJtV0mTCMj9\n",
       "aXZMt152r/E0UAfLSwTk4oqpKW1bdEQrAtKnwnZLkcd2mGR/E40PiZRRVrK9+VktZlDyWIex9n2E\n",
       "WV+MAvbNWkSEHhU8Vz1ObzbV2F5XWw6rsV1n0yL0s+6ZqsghnjDrjzzd56tkg7JGKl2Td8sVtU6Y\n",
       "ob3hNbZbh/j95Q4Qtuta+3fu8YSZK2QSSL8SO+UpYVZyhNmrzbIeqLXWMICNqrHdeiTnHS/pkrWC\n",
       "BDxhxlBGwpRjQaZWT4oDvAxcUWKfzpowe9uyZwXPWSVaRi8Damw4DGA5aoclO3hZUUnfrDAyA1iX\n",
       "sH0bkNdrJmdj6iRhyi4gvUvvVznKGWFeA3xfP8peIEOrIag85DsgR2WtosIMKrE9Twmzkr34ehph\n",
       "drPlyBrbDQPYVjW2m8TkrAXEkOdgXyp2zgA2q4WQGOogYcovgAeBM2ppNUXClENB3rYvYaCYBVxQ\n",
       "JU3l8C1Kj8jqjVIJsUYJUy4DObvETt1KbC+HsKcYkzBlC5DFFbTXEUKNo2tsNwxgQ2psN4mU91Nl\n",
       "NEgtZw9yPMLEpmOLjY6kAVhln7N66Ca0G1OG0giyc83UbGx/CvAF+7K2lpbTjDBvpdCTPgjkNPvc\n",
       "XB1JaWm5BzAYJKY3Jl1ANtTZgySl7m3UKuicCXy1xD6VTJjh7wv7F1bJMJDQ97YG+uXkYY6xwGvA\n",
       "oBrraQKWUnoWopZskbxZGkGWA3OBFTW8d9e/9C6ZEU7ltxlpykfQuBr+bGjzmilqTZgwB8ZsPwR4\n",
       "qEZairEX8IB9/hrIhFoZbs9DP78CngP2yTh4Re8B7GY9s7Z8Gv25wvTCKpkA8s2cBN4IEo5aYhKi\n",
       "hMkp4sQSgOxXAdvDQL5cZENMQmzpGUeCnwQgv42phzSEbxeJPtDyT/S+LhRGoNHrbyzYk8YaNpzd\n",
       "gX+hI4G+NbIJmjDfJl8J81yQvUEOsd/vTS28XEGORV9GEZ01KJFgK8b28Zskw2l/mQpcbV8i09nS\n",
       "A7jXvuxjy71rJqs1YcIcU1glvUFCX7eRZ2YPLk0Abgd+j87yvKb+lz1iP2DdBWSUNYzTtUHIKyA7\n",
       "RHbdVf8qbT9R17Ugz9rnN0AigUSG2/rwz+77tHw/CaQ/yFtlFnYZP0xum5Rle51aBA30ocPJAJAd\n",
       "QZYWpr+lEWQgyHj7PsV0v144d8sPjIck6BKz1VZLl0iy+a6dJzLdK6J6QOtZ/mSfe1pQfBVkpTYi\n",
       "CWydgFgQkDssCSfpGmN/DSC3grwIcl5kl3dpeZmBXGzn3xXk2yBng/wT5C9m/1TKe/FBOT/kDiJl\n",
       "1QByN8jJ5nObF9a3OmY85b/qr9SLCx60cl27cX0CSJPVywnWRou84kzO1LZcTDOAdCty7qQ6/CLI\n",
       "U23amoD8IfL5N5HP56CvFazEwxql4kPk+sNrko/atrH2/RQqO/VZqg6jf7+M6PpZkTK8tnVddEhn\n",
       "CX8P610atA2KgHwnstu9IHPs85m2fRxIP4sB+9IS/2UAGz1bEjtASarD883OV7SdyXQ9r8wGOQ5k\n",
       "CMjXI+X1K40nLado6ECZFdVVapQlIIdBcGuRTT8EjgG+BhwInGIb3gD+jk7lvoL2ihego5G90B7n\n",
       "e8BLaE9mgm1/GYINdoENajtYFaNRtKKCpeiU3bXoXPbmZvcs2+8m4ATgQuAc4FX0CcPLgC/ZMd3Q\n",
       "15w9aLqPsfW/Np1bUBjd3AnBwwnlJlbOt6I93BF27h7oyPzztt+9aC9yPXAbcLitvwY4DrgeODpy\n",
       "3nftXLcDHwX+Chxp+oYDj0CwU0JZPWDX8WPbf6id/y071+fRevqbldEbwE/R+6WfB85D6ynUAfr/\n",
       "xXUD/gJ8j0Kv9HngF8DPgMUQ9E/Q1Xbdt4H/Au4HrkPrCbOxG/ABOh3adrrtFWCSff4hsKvZPwFY\n",
       "ho4GpwGfAj4DzIDgxwm6DkV79zujU2R99Rh+h44KugMHAYvQmY770BdKfB8dAa5F762fD9wJvI+O\n",
       "SreysukDfBa4EvWPtXqeYFGMpmh57Q78Elhp17oPcDA6En+bQjsM+QE6wjsGmENh5BX64+moH2wO\n",
       "LLdz34P6wod67cH/JZRVF2Ax2kYeA24ADkUfCPs28CAEy9BR3X5omwy5Ap2qXYn6WjPqj+Esy2Tb\n",
       "9hQ6jTneyvJDYAIE9ybomoW29euAiWhdzrFzD0FnKhZT8KX70fY1D/gc8BvTs6Ud9wE6o/A6Wu/j\n",
       "UP9vNI1rgYUQzI3RFOq6C/WXX6N+eQfwNHApetuhL3AsGovusfP/C/W5na38XgQ+ifrb87ZtrO37\n",
       "junpisbReUAvCB5JKKtXrYyiXIG2le+hvhHeinsGfXHGUDROHWplGp77x6ifH2DXtBStt+1M663o\n",
       "A00rgTUQ/DRBV5HVgLaZLSCYY53S76IjzeNs+x3AI6j/AcxGY+1sPY5n0NHp4Mjfa6Z1qV5P8I9i\n",
       "ulIkzLh9ZCr6hNKBaEK4ALgbLZh9gCOAKcB81EGb0Qa1HHX+aWiwmYsW/hAT29fWN0LQGGO/iC4J\n",
       "0CnYbYG7UGe5G4KwB7UH6uSvAE8CfSBYCDIQuFi/swRYgRb2Z9EgsBBNJuOB1RDMiC8TxDoSK+3Y\n",
       "Yajj3o1Wygto4H8JbWzD0YqciTa42Wiw3xcNFn2BZ9F3O65Hk9in7Dq2tnK6CjgUglPiy0ruQQPq\n",
       "FNP2PLAN6jjdbdtbaEMNrCx+hzrhDmid9UIb0COm6ZemI2xQAJeg9zd6ow4IBHsn6DoP7agcoN+5\n",
       "CA2qJ6P3zeeg/nMk8L/AE1Y+r9r1748moFPRILYADYTbm95htn6pLaegSf9+CL6coGu2lc9f0WC2\n",
       "FJ2eWmVl9lcI1qBTwMei/r7WruMFNBDfjCarJWhdP27n7Gs6w/tXYftoMDlJPfFwNNIPvcd8sJVR\n",
       "aGM98Ec0oIBO3e6M1s+9aDB9HfWtPdG2sgINYK/a8U+ZnrG2/h0IPh5fVgQ6omAQBK/GaI8eMgP1\n",
       "vzPQTk5fNOAutjI51K6pCW0nfUzHQjT4D0Hb0gIItorXJY3AN4A9UH99CfWpLsCPUJ+ZhCbKF1Bf\n",
       "PsA0hPW9Br1FsKRwrWxh2t5By7zZln3QxNQUoylSXi1fJwLnmpbrITimze5j0Y7tENR/n0Lj5lg0\n",
       "vo23zytQ31yDxuLuZqcHLR3dYGpCWV1o5xhm1/trNKkfBXwcjQ9NVnZhMr4HjfEvW3nNQGPbIjTG\n",
       "zkcHSAusnJvQOPae2ZqMxvgkXV3ReliAxsp3ga0s+Rc7pAE4Hu3k9EJvHf6Lwi2M8C1pU9HbdHPQ\n",
       "DthCK8tBaFnPh2CPGF2JpJziKjo9FFCYcgwo+eCNNNoQu6seJ40J9vP4TsZS26pNDstKggT7uXxX\n",
       "ZGG9dPCReglomfZrWdeA3qsKv9vDHS3ToO5b5U1j58i3WmJgO+pQgoQpy0qRo7JKZT+vuip/UAXJ\n",
       "Y2F6UCsP15Ue963yyKMur8PyqCtd/mo8x3Ecx0mBJ0zHcRzHSYEnTMdxHMdJgSdMx3Ecx0mBJ0zH\n",
       "cRzHSYEnTMdxHMdJgSdMx3Ecx0mBJ0zHcRzHSYEnTMdxHMdJgSdMx3Ecx0mBJ0zHcRzHSYEnTMdx\n",
       "HMdJgSdMx3Ecx0mBJ0zHcRzHSYEnTMdxHMdJQZcS22eR7f9LNithfVa64jSF2/Kmy+sw3n7c+rzV\n",
       "Ybgtb7q8DovbTtqWN11eh/H2HcdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdhJvpob1Z/\n",
       "M3OoK05TXnVlqcl1uW9tarriNOVVV5aa6lFXItKegypInP0sdSXZzqMur8Py7OexDkttqzZ5LKsk\n",
       "+3ksq1Lbqk0eyyrJfi51+Zt+HMdxHCcFnjAdx3EcJwWeMDc5ZCzI/VmrcBxnU0F2BgmyVlELcjmP\n",
       "nLC+FtT5PQr5JEgtdVagDuVqkOsqoqa0/TzWYalt1SahrKRPTZVsZL+s9bWgDuuw6qYFZHqZ9nOZ\n",
       "e3yEuemRtSO2h2OBo7MWkS9kPMgqkKzb8OSM7Tv1Qf+sBVSCrBubUxQ5D6RrlU6+wWzU0xRJPWmt\n",
       "FXsCPegkgcjprLTEsQFVtHEFyLTqnb9AlRKm9AJ5Wqf/nPKQHsD3gEOrZCB04O5VOr9TG8Kp0MGZ\n",
       "qvBOt5NML1sOq6KN04HPVPH8LVTL2ccA2wCHV+n85GAqqlqEI4YJVTp/b1tmee+pBFLF3minIay/\n",
       "QZmqgKaM7dcxclSNnyfIgjBhVttPz6ny+YHqJcywN1HN3m9MUJW+VbRZC8LrGlml84cOnNNykunA\n",
       "wqxV1AFh/WWdMHu2/ipHgryTjZRWOgSkWp3OCiAB8Bf73Jlne8J4U+1OcO9a3GaqZsKcAwyp0vkp\n",
       "fm5pBJbUedIMR5ijq3T+0IEPqtL5O4o1rLq6x5oF4QhzRKYqNkqY7EP2mkIOA+mStYiNkd7ApcB7\n",
       "wEvApGz1VJVaJUyowaxZFRKmjAD2B56lugmz2Jx4OCobVUW71WYAsBwYW6XzjwWeB7av0vk7Ss82\n",
       "yxCbupLuIPu12TQ8f9O40qv0Ph2iDzAXvf2RJT1Bfgcy2jo51XpYrT1cCqyz5wLyxB7AWcCLwFtU\n",
       "r3OcB6qcMFs61quo7n1SoDojzGuB04CHgaFVdNahRdZtZsuJVbJZCw4A/gqMr/ypJQB2Bv5ErspI\n",
       "ngbZw74MarMMWW/Lo4B/tNn2JnBnBfUIyByQG0C6pZ8yk4k6DSgHAMu1vCXyFKv8BGRchUSOAJ4k\n",
       "+4TZGzgRTd4zgS8UNknfjUd4shXI8TXQdXbk8zEgg03PwBrYTkB6UEiQG4B5dO6EOQ54n+oNnkL/\n",
       "vxf4VtYzU5Eb0mmFyOMWcI4FmQ2yE0iRBwNS/eA56QfTYo3gDJADQf5g6wTkn+m0tosSP0yWgzUo\n",
       "Sm+QqcXLTXaLWb+L6Z8Bslh77Rvt0wdkHciekXUNCbqiI7PX7fxjQFZq45ULrQw/nnBdHSGpDnvZ\n",
       "tQrI/1M/kSvtu42AJbDva+375+37OTa1hX1/1z4PAPlYB3UV+7sS5Ezzua4Rbd3RN5k0FTnmVlue\n",
       "APJF+/w+yGFafzIN5DKQQSU0tdkm3c0/PmZtrLHNrtNTtq+0JJXVj2PK66cgC0FusF27WXk9RuUe\n",
       "dCnl871A3iqi7QKrg2oE11LxIfybb7HiQpB7QaZUQUsaXWL1UqVEIz8Cudz81QZoMpTCLyiSdF0B\n",
       "8meLDduY3/e2trYvyHcj5TnC2tYZ+rnVqfpR/gxUUV2lCklAvgDsB3wKeA54BO3RbwBWA8PRJzqX\n",
       "oNNEnwBeQX8W8Snga8BAYB06XfN19Mm6/wZ+YMvJwGLgo+gIVYC9IbgpRqPEXM8D6I/c5wBPAA+h\n",
       "N9anAr+wc21r17EGnSZYAkGznbarXdcGCMJGNxFYYfo3QPBhQrkV0/UhsNTs/Q3YCdgXuMXKrxFY\n",
       "ZmVzLNpL3xf4DvBx4CfAu8AOVjbT7Zp+C/wYeBs4HoJLE8pqMvCyfT8EgttLBK27gGuAq4EuwF7o\n",
       "Qyb/QqeLuwPrIVhhJgJbt6ZQblH7qepwNfq7QoBm4CbUt5YCBwMr0XK5FNjF9psF7G2f56Oj5h8A\n",
       "ZwAHAgvQKaHj0R7ojeiDaFtAMDNB10RgLfAlYBrwGDCF1o+ur6Aw3RTyAXoP73eo7+2Glt9WkX2W\n",
       "AP1QPwtneJYBiyEYE6Mp1BV+/qfpOxz1jX7AbPReWBcKT64+ibbBYcCDwEfQkeA44A0IXo8x1UXt\n",
       "Bc0gwyF4N0aXgDyL+vCVwCWov57deh+ORH0/jAEAV6FTkr+H4D3bdRIwUf0zFQm+Fa6X6cB/AU+j\n",
       "bWACcJFpBvgzcA/wbzQGzdXVgViA7wrBGjtXsLF/b7QuTpNtE4BHgY9qLJERQPiQ1JNm/3U0hl2H\n",
       "1tVbwCKgDwQLYs5diqR2uBK9BfIBervmVdQ/X0N9dFdb34S2wUds2+uob30FeAr1gemoD76Pzj6c\n",
       "g7bRa9E6WIHGuUHAnRAclKAr7bXtCMFj6K2atrNPV6Pt/wXT0UhhenilaQ3Qum+0dUMgeK2YrjQJ\n",
       "8w40WN+JFlg3tKBWAJsDW6CN9100MFwOwY/s8AD4Fjpfv9aODZ+cvRdtwBsoOG8xeXGF2YTOW38D\n",
       "WAjBbyKbTwKOQRNwyCLUKaLTa6Gmp9AgPd3srUadpzsatMP9kjSFuibY9l1VF2vN9iHovdWJ6D3e\n",
       "l9Dg3mT7vgT82oITVnYn2nVM1HMz3JZXoFO3PdF7kt0haEwoq2Y0KJwHwRO2uhGdnn0cDbS97bzT\n",
       "gftM6+jCdfMWeo9Y0OnRJjQANaPT4wNQZ3uNQlBcC8GMBF2bo9Po69Cpla3RQPoZNKjNRZPV/mhC\n",
       "2AHtrD2KNoJowrRz8iaFqfkwORUhybfi6leGor56JBrIJqCdlhXoz6jug+DNNsf0QMtjBdAbgqUg\n",
       "n0b9fwPqZzOAAyD4frxtBOTfaIfqLeB6CBZZJ++7dp190bJ63fSEHZAwIIL645voFNkA+x7WadiB\n",
       "627ruqGdoF7xZSUAf4PgSJAtIXjOEu464G40SH7N9l8E/BL1u30i53kQrevwbU6vmf2upmmOXXdf\n",
       "tJPSXa8tODFeV6nYJicA30Q7VY2or/dFy2mNLTeg/t2MdmoG2/7vq32abN0cNOD2hCCMIUWNFt8m\n",
       "DWh8HY3G07aEnat16GCkP/qMyALTvAcaC1ejdb3UbM1D67A/BPvG6BKQo9FOcQ90qr8RLefnzOY6\n",
       "tOM4GH1QaZmdt6+VxavoLaStbNsOaB3dB1wEwX3oiwUuMn3PmcbNIfhGvC4Ci1Mb0MHYBLTD3gON\n",
       "+UWexpZeaNscjg6O+tu17ADsiNZts52zFzqg6UfhgaF1qi0YVExXioRZjbesyHi0gYxHC3wNMBSC\n",
       "uXbBA4C3IdgQYz8szCI9vla7TUSDy3rUEbqhBbSalmBAXzRQ90aDWA+0ILuilT4XgmWFKYtYTRFd\n",
       "Ja+/hO5yCO8RBetibNvUZ7CyzPM2oPUzh5YRtwRoY2pGg8V4tIe2EB3hDUWTahhwGiB4IF5XbGKy\n",
       "KeZoGUXLTLrZ9nWmqR/qM2+pVqJ1FR4/GU1ai2zbivJ1VZ0So5P26GoJOCNQ3w8TQG/gMDRQh/s0\n",
       "2bbl9nkVsAKC9TG2BZ36XVcYhbVsmga8D8H76D3gkRC8UeQUY4DPoe1tNnAbGtyWo0loFLAl2pFb\n",
       "aOtWo8npe/G62lVWXdGRT4D6yUDT0dvWNaMd1G5owG+29WG8WKUjnQ7Hh7DzuxWaoJags2TvoLMW\n",
       "C9D6HIT69AMUHhbshya2buiAZgEwH4I7Y2xn6e9J9musS7qiecJiXLC2PfYrda+hvZS4R5EJKe8z\n",
       "1Zw8llWSfddVnu086vI6LM92HnV5HZZhv7O+LcdxHMdxKoonTMdxHMdJgSdMx3Ecx0mBJ0zHcRzH\n",
       "SYEnTMdxHMdJgSdMx3Ecx0mBJ0zHcRzHSYEnTMdxHMdJgSdMx3Ecx0mBJ0zHcRzHSYEnTMdxHMdJ\n",
       "gSdMx3Ecx0mBJ0zHcRzHSYEnTMdxHMdJgSdMx3Ecx0lBlxLbZ5Ht/0s2K2F9VrriNIXb8qbL6zDe\n",
       "ftz6vNVhuC1vurwOi9tO2pY3XV6H8fYdx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx2Em\n",
       "+mhvVn8zc6grTlNedWWpyXW5b21quuI05VVXlprqUVci0p6DKkic/Sx1JdnOoy6vw/Ls57EOS22r\n",
       "NnksqyT7eSyrUtuqTR7LKsl+LnWleNOPBCD+RiAnx0gXkMasVdQO2Qvk0qxVOI7TGgE5BySrbJ/H\n",
       "3of3IMujBrrkeZC/lHtQmetrQUrfkj/WuE3msayS7NdBHdacPJZVkv1c6kozcpxeYSGOU2mmArtl\n",
       "LWLTRHbKWoGzKSD3ghyStYo0CbO56ioqivTWKTpnEyPIWsAmysNZC3A2CT4CfCJrEZ0wYbIM8Ps7\n",
       "juM4nYvMB0JpEub6qquoPNOyFuDUnE1phJn1/R3HyYKuWQvojCNMgE3oiUnH2JQSpuNsitTFCLMT\n",
       "JMy8PJggO+nTjXJQ1kqcuiZnI0zxzkqHkbdANs9aRc6pi4Rp+0i3qiqpLJGEKT2Ah0G6Z6amwBRb\n",
       "3gHSPzsZMqodP8PIOx60s6Nn1gI6AWPwXySUoi6mZJts2aeaQipMdIQ5oM0yS6KBZUhtTcuOkaeH\n",
       "dwOOqq19pxOTYeevM9AyQo90+qQRZGomcjZChoGMydB+WC6ZD9rKSZh9i2+WISBbVUpQhYiOJge2\n",
       "Xsp2IP1qLcgYBFwf+Vwj5HjgEWAdyA20lI/koRNRKSp431ouzfk0Y4kpWZmgbwMq65TtTXrLqXnn\n",
       "r9PRy5a9I+uOB57PQEsxngMeL75JeoCMrbL9MJ5nPmhLkzDDoBon9jfAM5WR01FaXo8WHcmFCTO8\n",
       "jseB79ZMUmu2BR4F1gIP1tDuHyKfPxH5fkYNNXQAORvkSyV2aorfJPeCnFuGwbNJ9SIEmQ7yCkiC\n",
       "bbBX921dhv12ID8E2dm+XA3MsvWXgEwD+WghKcqBICfa53CaaxHIoe0w/AQwrN2ya458AeTwrFW0\n",
       "IYxR0U50mwGKCMjoWgmK2N0J1TXENGxro98wd1wOzAEZWUURl9syoVMnW+bhtqGAPAKyHmSPmF3u\n",
       "3fg1XXIIyMAi+5bba094bVKxHrFMBlkB8n5k3cetoq2RiIBcpVpkIkgfkHkFbbK3ritbU4ltEjrc\n",
       "JFtK8ZGu9KR97+5NKqvw75eRz8eBLAP5TDtsVUhX6lMIyOqYbb1ANoCsa11u0XfLivlxWl0tZXSJ\n",
       "NcRhIIeZzzSazZFWfuG+54AM1wTU4ksNFmDOtn02i5gZCNJ7Y9vxhRD5eHWRNmd+DdZmJbL+O7a8\n",
       "0NbNbbP9AFueVtr2RmV1Dcg/KfqyEBkMsmfCNXWUJF0xbUgEZEHke2D1XKlnHNoRH2R30xX5/bh8\n",
       "1dZ1sxglIPvbti4gY0BOjex/bvE6KKlL0HcTf9x8uxvIUJBrrWyeBflFxM/DvyUaO2R+ZN2UdsSu\n",
       "JF2B6RGQVSDvtNklKCxFQL5Qpu2ydaV56mgS8DqwNchDEKzXAMJCCNbRciNWDkN//3gncBvwE2ug\n",
       "26A90JuANWji2oCOSvsCW9p3gNnAG+iTuQ0lnuNYBPIgsAp4CR1hnIyOnk4AuRn4FnC67f8FkLvt\n",
       "cw9gd+A+4HBglGqXOeh/63IRyG+A44BfAmcBF+u1lsr50hv4qP29C6wGrgX+CTwFwStor+3fwGIN\n",
       "NvzADu4F3AjcAvIjdEpmNbAv8DAE75UwHsdTwC4QrLHAcCEEc0HWA39CR2+zge3RMpxomvcDBqPl\n",
       "uxhYiY6OQeusiy3HQvB6+bLkDmAOMBetxw+AhcDOwHVozzZsgI0g3wP6AVsBp6G+93XgbfT+xnRN\n",
       "BuwI/B1kXwr/TU/E16WxRD32A34N/If9JXEGcAxwIfBjW7cQZDZaduHtipeA10HeAG4GPqv65U9o\n",
       "nY8u47kl60nLIAg+LLK97YN64W+pQwP25LsMtu/hw2g9QLYHHgPGAwuAT5bQdQfwe+ABkEeB36J+\n",
       "vBo4FzhS7col6CzPnsCfgT9AEJlylEYIEp7IlyEQvB+/fSP6o74UHh9QmGUaAvJ51L+Go+37ZpBZ\n",
       "wP8CT0NwrdpkAHAV6m9vQrDSElMvCJaUoSfUcT46yxW2l6HojNfLwM4g44EZ6JQswFeBF+3zdiCj\n",
       "0DL+GfBlkFeBeaZ7JcjT6ANE/wDGQ/BwCn+fFbP+YGAJ8EXgK8BS4Fm0zrdDY8QPgZ+gcd90ypVo\n",
       "e56Nll8X9JbQEDQmjjV9vUvHeMJBxVDgbZBbgAloTDsW5E29TlAdsgG4H213A9H4MhNtM0shEHRG\n",
       "SCCI6YTHUzL6W6J9Ai2gV4H3gV3RgnyOjaeupMR5P6T0/bvVwHoIesecS0B+B5xk2u5Bg8RtaOUf\n",
       "ggalZehU8jeB89F7BIvRxrSU1tMeCylMjaxl4xvMbwDjIGhIuL6wvBagyeUDYAfbdjFwEQQbIrt/\n",
       "DvgysBnqAOPRBL0tmtB7o/P379q2x0xXz8h1zNbrCPaPL6s4vdIDOAI4FPg4hfJYY3bnofeoNrPv\n",
       "G4ifxp9LS70x0rSOhWBSvC65Dw2uU2z5rH3uatf3NtqhWgo8gHZC2vIBcIHa4ltFtjebrl6o/04E\n",
       "lkHQJ15XuF6m23lftXWr0DL6BFoPPyl0YmQa2jF8wa5hhF3H3agPrgYuQhvyCNRH5tk5RwBNEOwc\n",
       "oyksr3tRn9gReMXOOQf13RPROrgOTQDd7NxNwHzT9jRwC9oJ6BU5d+j7r9p+bWZYgpZ/ipeVnIQG\n",
       "8WKsResgnLZegMaAkWhAfBEt42mmYyHq132Bd9DyGw8cYNvuAN4DZkCwb7wuAS2fHqhf9QHGoX71\n",
       "b/RVa+GtmzAmPYm2PVC/6m3XGGp/D00AYud90XQ2ognvJQhOjdEU1RWyCI2nd6FJZybaeQ95FK1r\n",
       "0M5z9IUszaS7b78Y6AdBEKMr/JnbWrR8tgH+hPrXwcCTELwUczmDgQ81CQHI3qgfbYkm7Z1R/1yF\n",
       "vu/5NbTE8Fi4AAAgAElEQVRtfIh2nBZCMDBBF8CvgPMhWIg+BPVDNMYPsXN2R33jDnRwNx/NSQ+g\n",
       "MXSNXVsfNI42oB1ZQcv+fbStzEH9pQuayPcupitNwuyLBsF1JqAZrcRVaEB7E3jRRptY76sBLfzX\n",
       "gV3s2Dmog0w0YQNQRwYd2byMBuextDTE4KX4wkzTHRdzkjBJSX80iPVDC2opsDXqHNugAWwdsBfq\n",
       "vEvQALcUbVCvQfBBgm0B2RKYX+j5SwD0h2BRab0bna4r6hAr0Ea7C9oAVqDltx5tRAsguD1GV8qy\n",
       "atl9FHrdK/XYQEB6oj28nmhZhEEwKOzHOLTee6MdlQnAOxA8Ub6uaL1JQ5tORm80gA4CZrcuV9kd\n",
       "rb+uuo0JputpNBA1ogltMgQPlK+r6iTZFpAj0XY3B62HXdDA1IAGkRHoTxNeQDtg26Ej26PRgLIt\n",
       "GmheQNvmCLQNn4ze99wS9a81wP62bR4Ef4zRFe1cNFB4OKM/GnhGoPXQE/WTgRDYtJp0RdvcDqgv\n",
       "P4omoWVo4l+P1t1eaIBdjwa6xXbelyG4Jl6XnIb6aQ80EYbHPqkji6hfSVe0U7iF6Xzbyne+zaj1\n",
       "RINxPzSRjrB66Kr70EBLRyi4NEZTpLxapk43tPHtJivDJdbuTKP0Qf16Her7r6NBvtHKuRsaW0ej\n",
       "SWED6gfv2+dGCN6ML6ss/F1sFiJYH2M/vP4ybt2A1eX2EDwUWTcQLbthqC9+DO00HQD8FW1DPVG/\n",
       "XweshOCuGF3J1ss9oMJU4P5XxWnnPcyqk8eySrLvusqznUddXofl2c6jLq/DMuz7fwztOI7jOCnw\n",
       "hOk4juM4KfCE6TiO4zgp8ITpOI7jOCnwhOk4juM4KfCE6TiO4zgp8ITpOI7jOCnwhOk4juM4KfCE\n",
       "6TiO4zgp8ITpOI7jOCnwhOk4juM4KfCE6TiO4zgp8ITpOI7jOCnwhOk4juM4KfCE6TiO4zgp6FJi\n",
       "+yyy/X/JZiWsz0pXnKZwW950eR3G249bn7c6DLflTZfXYXHbSdvypsvrMN6+4ziO4ziO4ziO4ziO\n",
       "4ziO4ziO4ziO4ziO4ziO4ziO4zjMRB/tzepvZg51xWnKq64sNbku961NTVecprzqylJTPepKRNpz\n",
       "UAWJs5+lriTbedTldVie/TzWYalt1SaPZZVkP49lVWpbtcljWSXZz6Uuf9OP4ziO46SgjhOmjMta\n",
       "geM4pZCmrBV0LuRokKxHX5ssFUyYcivIXpU7X0m8ITpO/lkJ0itrEZ2IbbIWsClTyRHmocCRFTxf\n",
       "KTbU0JbjpES66J8D0s0+9M1UhuNUiEpPydZyqqBb6V3yiuzgU8qdlluA+7MWkRN629ITZuXw6djU\n",
       "yEiQlyt5xkr3hGtZmT1qaKvSPAq8AkzOWohTcQ4CgqxF5IQwYfbLVIWzqTIRmAQSQFCR3FTPI8zu\n",
       "NbRVDSbVzpRcAPL92tnbpAnw2wUhdZIw5QsgB2atwqk4jbYcUKkTVmiEKV3DD5U5XyrqOWGuA7qW\n",
       "3KtynI8Gr3NraLMMpB/QC4J3slZSIdZmLSAn1MuU7C+ABcCwrIU4FSXsqI0BFlbihJUaYV5aofOU\n",
       "Qz0nzBLlLueC7FJBe80VPFcFkbAcbgLezlJJhVlffRMSgDxU4yfTy6VORpgA9M9agFNxwjodWakT\n",
       "Viphblah85RDQsKUQbWT0S5Klfv/AudV0F5epwhDhx6hC6nj3wUDSDgFVIOEyUBgZ2D/GthqL+HI\n",
       "MscJs+WJ5jp7mEbq6D65TAb5QQaG28SXjlOpALXSlrX8bWRMwpQG4AOQPjXUUi5pnL2SDcISZu46\n",
       "EoNtOQhNMmMz1FIJBgHLgN41CGhjbDkVZDeQoVW21x7C+s1xwmRb4DlAQHoW30V2ANmxlqIS6NJm\n",
       "WQ8cB3y9dZuQBpBqT9VvAawmhyPMVcDTwOk1HCXEjTDDG7x5DCBEnKbUqC/qXF1AbupAEA4T5Qcg\n",
       "HehtSYPdb6wUO1ij6QncDcyo4LmzYAzwBnoPs9o/1h8HfAhMAB4A5keeJcgLQ9COUJ6nO3cDngDe\n",
       "IT6w3gr8ozZyJGjdxuSLINFfBPRos2x7/CdBHq6WuvTIcH0rEVAY4U2M7HA2sKTKInYDrgVGV+qE\n",
       "lUpuU4GvAG8B0yp0zlLEJcwhtowkTBkDcoB9bgJZF5k+qzWDgOWmJZoUp9gy7HVFg8wo4OO0vxNw\n",
       "G3qfEGBWxObB8b3qopwKLG6nhmJcA3wH7Ww9gk4x1jNTgBeBRVQlSYQ+Kw3Al4FfA9vZxg3Az0BW\n",
       "gVypr0+Tf2X8EoXBwKtsNMIM/V76mc7urbfVqm1Kb/T5iwBNmKNidhwI9K3OrIGcAxL1lUNpaWPS\n",
       "CFxO63bRp/Vyo5mFQ4Cd2tj4WGW0tpwvaP1Z9gS5GWQYyLYg16Dt+TqQ7dDENQ84Rl9mIV8Ddq2A\n",
       "jgaQTxSfXZEG9JcId1OYjWm7TxNIRW9ptJnXl0EgAyPfJ4P8DmSNVq5cDDLLpjD6gYyKNI4tQAZT\n",
       "HglvspeHtUctU6zSLDDIntYIj7DvI0F+ZesadWpFBGRLSxibg5ys1wGaQOR07dXJKJCJNsJL8ySw\n",
       "bZMTCgkaIoFuEMgTZn81Le/ZbAkcY83hPgRZYNd1OMhetn0f23+OOkrasgo1hO+hlJdAHrfPs0Du\n",
       "Afk8yFdA3rKAewnIFehPUi5XJ5cb7Zj/BDkI5CjTuLUtDwI5L3JdQbIuudjO912Qve3zDyI+0w2k\n",
       "r62/us3hA2iZzZDjQA6JsRNHkq6jQE6yxtjP6uRMkNEgJ6JBbjDIflamg0A+BnILyDdBZoN8z/Y/\n",
       "y/bpb3VwBMi+ZWoKdQn6CsqfgTwF0h3kLyB3mS6J/L0XqeuzQEaADKT8NliqrHay6+pj9TUU5DCr\n",
       "t5tN31x02vgAq/PnzF8ONI2RhCD/A/JG5HuS3lI+39X8ZDAtSVkC9U/ZF40h74CMs3IVEAuuMgGk\n",
       "F8hUtD2+A2IjJBkAMh9NBuG+U0toCsvrQZCL0J+yTDKbN2qZAch/2Lp+aLsSkO+D7IrGqX/aup1A\n",
       "etvnf4Aca8eHsS4w/5im3xPrcE+QX4BcD/IT03A8GhP+A+QP5vOvRPzrDvt7w75viGxbBLIy8n2x\n",
       "lfcTIO9H1j9eQlc3u45B5l/90bh9LhpnHrLz/Nv8O4wbQ0B+a9u2RtuCzTzKZ0HOiHwWWt2qkkPR\n",
       "B+mK6irVYxKQy9Eh7S7oY9er0emARej0583AtRBchyatS4EzI+dYi/YuJgDvAn9Ep+CW2nkX2Pn6\n",
       "or3RFejItxGCi2M0il3PWvSNPy+jLwH4FfAJCvdOXkJ7/SEvoFNZcaOqh2xb2/c1PgJsD/wdgsNi\n",
       "NIW6LkFH283A7eiId2d0+qwZ7T1eChyDPkU40NZPBB43O38E9kSn9QagI9LewFNoj+nrwPPAfcDu\n",
       "wM0QXBCjSwrrJQD+C/1JSzNwI/A9IPobtFuAB832OrTe3kZ739uhdfsjtIc7Hr1/PQCYj9ZheB/7\n",
       "QWAHCLrG65KBwFXoz11eQ+//hVNNT6L3l6J8A522XQWcYuuWUeh1X4TOPAw1mwvQctsG9b1VqA+M\n",
       "hOCcBF1FVgPq843E/0ziCeDT6BTUxWgdRgnLEXR0vTlaj7sD90FwaoymUNdK1AdmA7+AYHabXbYH\n",
       "tgbmQHCvJga+DnwMiN6DexH18yfRkWkz8IFd2weoLw5F21UDBKfE6ArL6inip9OHAt8Czmqz/jlg\n",
       "y8j3aD0C3IvegxoBXAIMt++LTfOqhLYo6Bteoi8GWUxh1N8MvI++kek0CBaj04fX2fYP0Zmg0NZ/\n",
       "AtNRn/sT2jYOA95E/9/Ek9GfLfwZgtNjNIW6IP5nZVH/SKLttYV8iE6BD6MQM4yg5Z8YTQuBNWh9\n",
       "vYrGzfvRepqC+nIjcAPq259Gy+g36P3UJ9EyesZsd0fj+3DgPQhetfhzBFquEyG4klbxqaiuYtxu\n",
       "tgPg98DPIuWyAo0bN6BxeC4ab09C42U42r4Crbc1aOx5Bp0iPiupvNIkzK/aRa1Ag2lgxu8HHoag\n",
       "yG/OpBENArPR5DcODV6TgI+gia4P6rgr0QJehw6d+6BJuRmCc2M0Csh31D7j0IA/G536WQrcBXwG\n",
       "eAwNYuvQpL2VXctCtFD/ZjaPBP6ABpVhwJ3ok78P2bZJqOP0geCqhHKzURO3oA19AJrQX0MTyhoI\n",
       "XrFde5jGuWhSfQ0NoG+gAWiQXZugAfot4Ggrn6fQaY5VaCPpBsFF8WWV5gEiadR9gzKeqJU+dp1z\n",
       "0cYxF4LVaC99CvAQBMvK0yV7onWwAvWN+Wh9jUET4mPAwWiZXI0mntXoG3Z2QpOa2LGj0CD0NhoI\n",
       "etpyLgQ/LK1L+qPBcSXayAfa9i3QoLIcrd8GYAkEbX6+I01WLitN78fQZLWj7s88NDm9reUVnBej\n",
       "KaG80iKTUB8ahN6ra0aT6wbUp7rbummor7+JtoENEFwWY1vQh2HG2DX2sOubhwbXBk1GoL1+FpnN\n",
       "obbvSuA9YA+0Xvc3jfPRNtcTDcZ9bd00tINhSSX4RoKuvYBn0QQyCK27Rvu+UO20ffuLNNq19ETj\n",
       "VRctl2COjtbYBo0bI4Er0Q7kCLvmscCW6etQmoB1EKy3gcbUyHHhYOJRtH6moD6ym2lrAo5H76s+\n",
       "h/r9h6hfvoP61mi7/v7AYAi+nVBWTdpukwhHb5V5Y05r+7G6pqPt6w3UZ+agMTTSziRAE/WbaHzv\n",
       "ASwo0pkchcby+9D2eijaKXsIbZdDKQwI/w3BAzG6Sl5MlpSYcsmEFFOymZDHskqy3wFd0kDH7yfl\n",
       "sbzct8ojj7q8DsujrnTV06PJjmOUMwp2HMepDHX+Q3HHcRzHqQ2eMB3HcRwnBZ4wHcdxHCcFnjAd\n",
       "x3EcJwWeMB3HcRwnBZ4wHcdxHCcFnjAdx3EcJwWeMB3HcRwnBZ4wHcdxHCcFnjAdx3EcJwWeMB3H\n",
       "cRwnBZ4wHcdxHCcFnjAdx3EcJwWeMB3HcRwnBaX+e69ZZPv/ks1KWJ+VrjhN4ba86fI6jLcftz5v\n",
       "dRhuy5sur8PitpO25U2X12G8fcdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxmIk+2pvV\n",
       "38wc6orTlFddWWpyXe5bm5quOE151ZWlpnrUlYi056AKEmc/S11JtvOoy+uwPPt5rMNS26pNHssq\n",
       "yX4ey6rUtmqTx7JKsp9LXZ3sTT8iIH2yVuFUA/kjyMisVTiO48SRyywfv14EZFjV1CTaLrmt2tRV\n",
       "Ty1hfdzuAnJMh9WUtp/HOiy1rdrksayS7OexrEptqzZ5LKsk+7nU1YlGmBK+5q9rpjIcx3GcTkkn\n",
       "Sph0t2WPTFU4juM4nZJ2Jkz5BMjYykrpMHWQMOUykHOyVuFsqojPvuQe2QLk0axVOO0j6V7hb7Kz\n",
       "X2y9jDBdO1RVUYfuUYjoX1VIKCsZUCWbaajkPcyjO6ymtP083mcqtS3Nqcd1wPdyUFYSlGG/jutQ\n",
       "Tq1SjMhjWSXZz6WujkzJru7AsdWgmy1zPMLkg4zsbpaR3QrREiyLBU0nHWN0IaX+S7+88n8gj2Qt\n",
       "ogZsyFqAE09HEubKiqmoDHUwJZsZ/bIW0EHCzlDOphRlsyrOGFSaUbYclKmK9nMEsGP63eVHIBcn\n",
       "bO+W085DzhKmCMi+WavIC+1ImC29/VUVVdJxwoTZlKmKZLIaIdX7b1O7t1nmBUs+RacLsaB8YO3k\n",
       "JBL+hnVopiraT7k+/BXgmwnbXweuar+c9iKTS3SyLGHG+VQm7JeNWWkAuQXk/Gzsb0x7Rpi9OnBs\n",
       "NamHEaYnzPaR17oNR75xnbRDgTtrpKUU/W05JH4X6RW/LXMay9x/cYntoyhrxFoxRpfYnkHHv+QL\n",
       "QbLqZA0HPgb8D8gRGWloRXuSXtjg8ta4fIQZT70nzDBR5m2E2deW9lCV/G+b4JOnUUI4Ld+/+GbZ\n",
       "EVheKzHtIDJVKRNTTIWnuZY29RN96YncDXJaWnFlYIk/tnMSro+0WWnQP9BpZBlXYU0xT+5L2O5K\n",
       "JflqsWvk86SMNLSiPQkz7G0kJEw5rgZv3GlLGEwH1thuOWQVQHtnZLcM5CyQUTEbU0zJymcq97MJ\n",
       "SdsuwiQU+ty56L22kDA45mFk3B998i/uiWkLwnn86YkEQLN9bgJ2TnHQ+iLnkTY+FqlnCYD3InFr\n",
       "f+DT7RBbitBn4uJjzzb7ATxBYfr4TODN1odIrw7WW9x90zDWb9WBc3eEv0Q+52KAliIwbNTYwxFm\n",
       "pKcqu4DMNWcGuBo4I7K9CeTsyPfTQSKJTbatwMMTYTCNTB9IUHAkaQT5Ve3uDUjQunFKIy2NQRqs\n",
       "TKa1OWZn/XlMy/dKTXuPBGnHgz/SC2T3CmkoxU+AL8dsC7XHNBoJgGuBnSqkpbnwEyDpVlgtW4H0\n",
       "jOwXjjBHR/yq0ep+KoU2Et7rHGjbbF+ZDnJ/hTSXoj8aaGNGmGHCpNKjl0rQC1gHvAqMBaYl7w60\n",
       "zEqED/a0xKbJkX0aI/sMtnXR6w+PLdLhkb7tbJ9h+UdjQ5fIA0hh5zY6DTodOMA+R6bUZUuQ4cBC\n",
       "4NIiGrun1HguyHVFYuM44CHUvz+V4jyVZoktH6blKe8QmQKyuX2u2e3BNIZWWeD4Hsh+wCnofZmP\n",
       "gww1sR9Fh+0HRxLheksMXYBDgEtBBlngvgI4C2SMJksO1kNklPbwWo5LQPbVaaSWwppoS3M0GQ58\n",
       "EVgLsg0wATgNGG/bq5Q4ZS3IdmhPcB6F34WOAeajP8fpiSaH5yyADlDn5iHgdjvPhcAC9Gm/fWyf\n",
       "e0COtPL5rE5NAUipnvB/AItB5oN8Th1NulrA/rNpOA/kTC23ljo8E7CALjdbR+cKkJNtXV+Q7e3z\n",
       "CdoBkP20XssqszARTois6wFyBEhvCj3c0SA7gSwF2S3SyQoTVz/rfF1rvnZ4eTqKsgbkmyCHAs8A\n",
       "vwEJf6YTXudxFALhwcAPgecpjObGm799CKwAHtHOG/sAu1v5RxJzHPJFkANBjgU5yNrKeVafnzb/\n",
       "CJNxHy072RzkIuBw4ElajTCl0fwOCu0nMvUlh4McV0LTKxYfZqMdvm1N414gZ4OcCzIEZHfzt6Dg\n",
       "8y3nCMy3HjXfnmHnHApyFRo/nkPLf38rt/8uUVg9gLXAXzWusLWt30F9CIAmLSfW2TkBTi74Nz1B\n",
       "+qMxcAjI85G4tAT4egkNxTjVlt/Tspcm4FbgNltvSYBhIFMpvCAmHEGGSbwb8CzwW/Reul2fTDD/\n",
       "2BH9JcM3Sffg2dHAv/V6pSuaIL8DvAFcDlxvdfI3kMdAjgEZDPJjkEtBTrH638bKzOjQk8ivQhAA\n",
       "nwM+aT41DuS7wIu6XXZDO7hXaz1Lk8WOr4McZRp2AfmIfe5faGstbWUyyGgq8J87CMhzFHrbYoW1\n",
       "LchtbdbPbvN9KcgLIItAlti6RW32Cf/Wg7wNsqz1+sQf40f/LgOZB/IXkOUg98bYEWvgT9nnf4H8\n",
       "HeQCNBg9DvIDkJ+D/AL9EfGJ6HTf8SAnJWgqpiv8ewdkFcitIP8GeTay7c2IrnDdLUXO8Zgt3wK5\n",
       "MrL+3RRldaLV47wYfW3rco3V3UsUGknbY66PfP6nLVdH1l2k50jUdSHI71tfhzwNMgvkr23szbfl\n",
       "g7b8ky1nRcruH3a8gFxjy8+BXA7ygNXn+WiDS9LVDe2g7Gcabwe5Hw0OoZ61tjzP7L9WpIyKrYv+\n",
       "PWrLn4AsLtO3NrQpj/BvHurX0XV/Q0cjx9r220DeAFmI+uIFdg0vg9wIcgjIYYX6TCyrp9vYmh/5\n",
       "/DzITW22fxDxk2dQHws75etB/kChTYR/K9EO0iH2/T20s5ik6wg0aMb57O/bbIv7C9tdGFOa21zT\n",
       "bJC7QL5UoqyidRiNgwsin2+0en0rRssPQd5vs245hRhzWZFjni1dh4B2lj+I+NUitD0dhCag6DWf\n",
       "F6mj36Jt8E40Zsy19XMjn19G/W0VyA1WXleB3FqiDqOzkCe1udZzaN2+7qX1dS80v5E2+4Q55nE0\n",
       "zs1qs899emxxXaVGWaL7SBM6MgogCB977gNsCWwHzAAuQEcIq4G30VHNI8BLaK/wNmCKnbMZnVZZ\n",
       "EPn8U3TqYQU6Wu0CwZ9jNAraa2pGe8zT0Wmv89DeyGC0B/g+8LQtB6Ejkd3t+yS0N/euaZ5hdteh\n",
       "LxgYiD440APtqXXR78FBCeUmaI9qvB23EL2XMgY4CZ02WQicgN6HuR6dmlmFTin3NI0fUBgN9AbW\n",
       "mO4Zdr73gH+g90E+otcYXBhfVtH1MhmYa+daaGW3L3AzsD3wOPqfp+5rZfAk2vv+K/rU51/QUfwe\n",
       "FB4G6IX2dvugdd4TrYdFEHwpXpf8FC3jB4F/2fVuTmHa7SU7djJwI/BV9H7OevQJxz+b5n3R0dvB\n",
       "aG+9GfW10Be7ANuatpXAbhCMTldeG23uZecea9rvQet6D3RU+WO0XgXYBvX704BH0fo6Bq27eaif\n",
       "vmfHvgnBVxJsC9oDbkD9YTXQH4J55nMT0XtRe6I+vByt38f1cyBoj3p/K7uj0J9W7I+2w9nAz4Fv\n",
       "oA/ODUP9ZA4Ep6YrKxkKwQL7HKhNQEd4A+xaB5vOHqb1UbuW7YH70LjxtOkej85mdYGg2FOvcXUV\n",
       "WS9d0WnMJRCsABkNdIXgDZBPotP9NwBTrVxHovUzCPgUsBRtA99GR3KT0LbSDIQjt2b7GwvB8BhN\n",
       "pkt66fWwOeqL/VF/CuPebCufs9F4MRmNH8cCc1B/Wg18CfgaGhcWobN8i9A6XYn6wxrT3ATBJ0uX\n",
       "FYBsAczVsip6CX0hWGqfJwGvFXJCyz6DgRHoQzvvoP74runZFR0t9wZ6QPA/6XS1rB4IwUL73BWN\n",
       "n4sgWILef+6Ltq3VaBkPQ3PBO8De6CxFWNd90Xq7284zzHQ/AMHcGF2JJPWWakGJXlEmlOhBZkYe\n",
       "yyrJvusqz3aVdKW6NZHHskqyv4nVYSryWFZJ9nOpK2+/pXQcp6YEWQcmx6kbPGE6juM4Tgo8YTqO\n",
       "4zhOCjxhOo7jOE4KPGE6juM4Tgo8YTqO4zhOCjxhOo7jOE4KPGE6juM4Tgo8YTqO4zhOCjxhOo7j\n",
       "OE4KPGE6juM4Tgo8YTqO4zhOCjxhOo7jOE4KPGE6juM4Tgo8YTqO4zhOCjxhOo7jOE4KupTYPots\n",
       "/yPPWQnrs9IVpyncljddXofx9uPW560Ow2150+V1WNx20ra86fI6jLfvOI7jOI7jOI7jOI7jOI7j\n",
       "OI7jOI7jOI7jOE5nZyb6pFJWfzNzqCtOU151ZanJdblvbWq64jTlVVeWmupRVyLSnoMqSJz9LHUl\n",
       "2c6jLq/D8uznsQ5Lbas2eSyrJPt5LKtS26pNHssqyX4udfmLCxzH6cTIzSA/z1pFvpGPgPTNWkVn\n",
       "IJdZPmF9LfAeZHm4rvS4b5VHCl0iIB/WRM1GtsvaVm0SykoE5L9rqqaV/bLW1wofYTrFkKEg38la\n",
       "heNUkSBrAU7nwBNmxZFuIF2zVlEGhwLfylpEARGQvbNWkQ4ZC7Jl1iqcknSihCm7gzxUhRM3V+Gc\n",
       "nQ5PmJXnceDWrEWUwbqsBRRhu6wFpOQe4NmsRTgl6Uxx7kBg5yqc1xNmCkq9fN0pn62AzbMWUQZ5\n",
       "TJiNWQtIycCsBeQH6Qo0Q7AhayVF6EwJc32VzusJMwWdyZHyRPesBZSB3dzO1TRyvSTMpqwF5APp\n",
       "CqwFLstaSQydaEp2U0uYMilrBVFSJEypw160NNi9sCwSl1BfHZEw6OfpsfJ6SZg9shaQE061ZV7v\n",
       "59ZTeyyFJTbpTJ2AGKQP8LLG83yQRsiAqquoPP3bLGvJmgxsdoQwYWZRVnHUS8IEWJ21gByxLGsB\n",
       "MXSm5BLOBPWs8Hm7Vfh8lWCILSt9re0mTcK0Eab0AqmXQDbUllmMjhfoQurl/nDojIMyVQFE/CtP\n",
       "08MxtGh9q4Y2bwD5RO3spSacJlyaqYp4cjNCqQC9bVnpgUwebyOFcbxP+kPkBJCvVEUN6RxpEMgg\n",
       "YDlwUbWEVJhwaiiL0fF7tpycge32ECbMIYl71YZwirNfpirSMcqWtfyB9SeAG3LYce0HLCa/syud\n",
       "aYRZrYSZx9sLYUwqI2FyBfCjKmgB0iXM24Hn7PPEagmpMJfYcr8MfifXE/gAGFFju+2lly3zkDDD\n",
       "6eFh8btIwraaMhj4kGzu/R5kv8cLcpI8+wHzKC+w1ZI8lFGlCNtpzOyZNIC052G0PI4wt7dljF9J\n",
       "E8hebVZWdfo27VRFGKR2BvlutcSUh3wOZA+QHdus/ywwFrgO+G/gWZCv11DYVmqzZQRSgswfqtoc\n",
       "HRXHJCIZBnJcjbSEveY2Wlo9wfseyD410pPEILQjORAkppHKgAo/sBDOWtwG3A9sANaDXF5BG2Ui\n",
       "fYDR6NR0xJfbPpQiPTN6UGU5G8U5iQRgaaizB2iGo1PfcXHjLGBlO86bEIckq9Fn+AKT/UH6223B\n",
       "oZGHOb8MzCq0MQlH3xtAticDBGQbe+L0z7YM/1ZpcpIHQK4DOasKTzOVev9h+HcnyBUgJ+tbMORA\n",
       "7Xm32ucaDWBV0xTq+hnIN0AeBzkWZEbrR6NljJYVWEAVkPN0JCwNtm7byP5pG3OJdzLKIJC71D6A\n",
       "jACZCvKmBly5D+SoIod/wzRG6lZ+BnJSx3XJWKuncXrPVz4H8hzIy4UkKRPM/gy7BgG5AOR6kK+i\n",
       "L46+z/YNQJq11ynDtGFJN5Biv4tN0rUTyGFmazDINDaaqZBPm4bntL4ksGuwHq90teO/nbKckjRF\n",
       "trX4zAsgz4DcArIUJGUHrV2kaYfb2/LvIIvt8/EgR4O8Yt/PrZ0usPqfS6sn5qWLff8GyHCrvx9Y\n",
       "zJhW5FQDrC43B+m18fbUmhK2hX4KIL1BzlZb0qvQ/mW8xYjVIP+2mGHPHcgUWmKbXGLXF3mIRy5M\n",
       "0CUgK8yHehfZ3MfOt3vCdXWEJF1LQN42+/8H8qB9fg/tgF1j3yeDnA5yCsgdIFeBnFENXaWCseg+\n",
       "0kR0XXcAACAASURBVIBOa/wC+Dk6Txwd2S1CRwcCnItO0Qy39SvQ3viTwIto76cvsAR4F+3ZrLLz\n",
       "vYmOdtYCfSB4NUajgPzezjMCffNFqOFtYHMI1pjTbANsbbp7AC8BNwCnA/8CXgH2AGahPfangJeB\n",
       "LdDpysV23Bum6a6EchN1MFbaNUSngr6P3gP+NnAB8CfgYApPp85He8LhlMtN6AjmAuBy4D70kfKF\n",
       "6AhsEPCEXf8SCO5OKKtD0VEJwG/Rpxm/bN+vRuf8n4wc8wfgIbv2TwJHAv8FzEHr8zorqwPQMj8S\n",
       "+AE6FX6Nldv9wNEQnJ+gK/r9dWA88Cngd+i9msfsOjcrcvw1tu1g+/6aHdN2pLwSnab5T2BXYBLw\n",
       "MgQHp9T1ATr92gzcAjyA+sZxwG/Q6aIT25zjb8AMu56bgDPN7ofAycCDaPk2oX4SAPtB8OsYTaYr\n",
       "3CYjVVew1oL4ctvnW3pt3G3fl0AQJo9eVhY90BeWrLHz9Y2sX4XW57uFFxBIIwTrE8rqKeAYCF4G\n",
       "+SjwFbv+wWiZt+V09MG42Wh7HwCsg2ApOt2+Fh1BbShojyVSJhvpOgf4Dlo/LwMPo/V3Ftresett\n",
       "Mnvh1PpZ6K2n9cCjwB/R+trVth+I+uN6NFZMAZ6x7+9D8EGMplDXg6ZnnR0zGp16HGHrN2Pjh94e\n",
       "t30WojHhYuDvaHyZC1gnmIuB09A28Es0lrwEnG+S4srqPmBP+/4QMBJtSyfa9Z4FfA34CbAf6ssH\n",
       "oTFzAVqe9wPP2zXNN72r9Pzsiv7/kr3RuDHXtEyA4NYEXf9A29ln0Hg12/R93867BvXl6AOWOwO7\n",
       "mNa/oL79Mppr7kfb85aof45E6/4F0zYK9ceeEHy/mK6UCbPopi5owFqgji2TgaPRwnwffcKpyT4v\n",
       "RR1rMtowl9qxgyk8KDDPRPdE59OXQTA6xn4bXdJFG7V0AxogKPKovwTAx4BxwDTT8ArqbO+ijaQn\n",
       "+lq2zdDGshRN/GtRh26GYLv4MmkV1AarFrZCHedGu/b+aPJbC/waeBWdeuiBNqIL0UTxETQJDLJt\n",
       "r5vukJVWZjZNl9ggXkSD9TXAPmigWg783Bo46LTLALRxnGq6NpimvwGHUOgA/Ax1ykOtzBZbmfWy\n",
       "6wp7qi9BMCVB13Foed+ENvLXIHgSZCJaT8dbOXzO9C5Ef8axAwQ3WZ1+Ew1cjcC+dp3bANeajv1Q\n",
       "P1yFBqKF+hdcmKBrMuoTXdAGuACdcjzZdDWhHbtL7Zo3R+v1BODHwClow3weuBL1owVoA73XyvJD\n",
       "1PdHmbblEAyL0WS6YttiH7Tzch0aVLah0LnCNDbZ8WLlIGhwW2Pbw+Cz0rZ3s3MEEHRNKKtBECws\n",
       "sg3raIvFh3Fo0B1l9nakMAW/Gu3EhQE17ASsQWPBegpvpOpm39dCMCJB1yvA9Win+GHgPLQTcy/q\n",
       "z5OB6WhH8QDU125B/eUDNI7dRyF5jURjwkdMY3+08xgmq+VWVr1iNIW6rkN9a2v01s00NGA/iPpB\n",
       "T7vucegrNgcDu6OdsyWRjkxgxx6B1tsg1FeXAf+Hdjz7oPW+HIIDE8rqduAMYCezNQVtS2+hA5HZ\n",
       "wFFo/byBJvDeprMv6me7mK0GW/cm6uNd0faxzPZrsP26AnMh2DNBV0PxTpN8H02cN6P+9FvgcGAq\n",
       "BI/YPoPQpNmMdkpW2PUNQ31pBa0HK8vQW3nzgbsgOKWYrg4kzJqQ0IPMTFeS7aSgNgStoJHAfe1/\n",
       "hZj0BFZFRg4NQBcdUeehrCSwABnq3JAPXantV1iXdAXWx4+WwvIqabsMXdIFDRTj0I5E2Nnohgbl\n",
       "Lnau9W3Oa6O6lqfiw4S3KsZ2B8pKuqABfZnZGY12ANejwXQEmizfQxPrWrO3ztY3QPBW5XS1qocy\n",
       "kcDsBQmj8XbqqhhJo/HNIHizxOE9aOkcV/T1hzWM8RKgo9WbIFjRTl0lD8qSEvcoMqEd9yhqQh7L\n",
       "Ksm+6yrPdh51eR2WZzuPurwOy7DfmX7Q6ziO4zhVwxOm4ziO46TAE6bjOI7jpMATpuM4juOkwBOm\n",
       "4ziO46TAE6bjOI7jpMATpuM4juOkwBOm4ziO46TAE6bjOI7jpMATpuM4juOkwBOm4ziO46TAE6bj\n",
       "OI7jpMATpuM4juOkwBOm4ziO46TAE6bjOI7jpKBLie2zyPb/JZuVsD4rXXGawm150+V1GG8/bn3e\n",
       "6jDcljddXofFbSdty5sur8N4+47jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jMBN9tDer\n",
       "v5k51BWnKa+6stTkuty3NjVdcZryqitLTfWoKxFpz0EVJM5+lrqSbOdRl9dhefbzWIeltlWbPJZV\n",
       "kv08llWpbdUmj2WVZL/CukRAdi/ngGIr/U0/juM4zqbAhI6ewBOm4zidEPkmSJ+sVTidi06YMOVc\n",
       "kL2zVpE/5BmQqVmrcJwacTGwS9YinFwRVNtAFee3pRtIj3baT9AlAvLP9qpKQZ3eoxABOa1majay\n",
       "n3p9rcijrjr1LQAZCdKvJmqK2m+7XgRkj5qqabHdrm3lmukKMr6cA8pcXytqeQ/zpHIOKLYyyxHm\n",
       "ncCjVTp3Y5XOW+90zVpAechAkMuzVuGk4m3gT1mLaEPWyaCafA14I2sRmxpZJsydga2qdG5PmMWp\n",
       "s4TJLsAXsxbhpGZ41gLaUGoGq57JW1nXAx2eku2E9zABT5hx1FvCbNaFdFY/rRDSAHJm1irI34iu\n",
       "KWsBVaTe2nKGSJgo6zphVvMGrCfMVrQ4TPdMZRRFhiZsDJ9yHFgLJXXMnsBlIFnXb94SZh2PMKU/\n",
       "yLiEHSqYMKXqD8NkTFhW3Tp6oowSpvShus5c6j/GriHSD6QvyAEZiggdZWSGGoogE4H5CTsMsOWw\n",
       "GoipZ2bacnCWInJIHSdMrgDeTNheyRHmsRU8Vx4J41+HO5RVTJgSJPRcDow55sgK9ZI73JOoDPJJ\n",
       "YDEa0O7KUEg4NbVXhhqKMUgXsVOu4chyRC3EtEZ62pN1op9b1jeAHFR7PXG0amNZJ8y8jTDreUq2\n",
       "1D1Ku7aK3K7YEmR4iZhdz9RDwuQK4PGYbZNj1t9IbDJNg4RTsTmY35dG4Ff2ZdsslQA9gTXAmIx1\n",
       "tCUM8P1jtk+z5egaaGnLkZHP+4CM0eTJrsAdOQosQ4BFwL3ApGwkSC/7sD3I9tloKEo9jzBLdT6G\n",
       "2LISL2c4H3gXuJKWmC19WncU65rubZbtppoJ8xjiE8U44Fr0UXRDwt5gRzSFI5FehVXS3UYJ1suQ\n",
       "C0FmdMBGCuQg4CF0SqU/LR0E6V1du7FMAOYCPeN/+yrXglxWS1H/v73zjrOjrvr/e3az6b33Qhok\n",
       "oYQgLbTQpIOAqCgIyAMCPyUqWFEEBPXxAUWRog8+gOijYiGiYqPkCd1QQg0SWkII6b1nc35/nDN7\n",
       "Z2925s7dvXdnlpz363V37p3vzJzPfMs53+93ylKYao27Rrk3OjJv5YApk4G7i3Q8aN+Pt2Uv8sF4\n",
       "YC6aT01MrUkdyKdBqvQQv1wNrAt/AF+sjp1m0ZZHmKG/igv6YduJtA05SDt2zeZTwGTrGK4B1oP8\n",
       "VwuO14rItAT/Go4wEzoA8mSJ+ynSqWjmbgMtSK2LSb8f5GSQzZFAdrLtc75Ne12aYF9AbgfZA2SG\n",
       "XSDvCXIqyPMg6yObTrDjjrfftm+zKfFgslwRmcq7NZL0J5ALQez6qnQBmdgCHWl1CchMkAtAVmue\n",
       "NUquBdktornS13+TdM02mydEVo8F2RPkKkv7LMj/gFhnSLoUOlfSm/IeRk6rK/ycB3KNfd8YWW8P\n",
       "xUtvkJsrONosVbeacJ4yXeuZTAB5rYn0IyKah8ccutQljDR59VmQ0fZ9DchJmi8lj90SknTVg9wY\n",
       "k9wH5Gc0nmqvozLTmxV4cYH0iuRrEwFQApAV1n6ibUdA7ivTtoAcZseTJj6PpNPcbCr04gIRkK/S\n",
       "5OsQZbyl3xlZ1xXkI/a91tKPLGU/hXOUYUB3oCuwAo3W/dDhbU/7rKQwuusHnAj8A9gDZJwumQec\n",
       "jo669gMuRKcBPmFO+jp0VLYHcCnwsRLCzrMPZj/kMuAbIN8FZgBhD+l0kPBB334gk4BpwCzgUbTH\n",
       "1g24CfgRsBydwnwL+ADwc82Dkr7xGlvuRqMRNPcAd5i254DjdLV8CngFuATNg4XAJjSfh6HXQN8D\n",
       "TgXuB/qjeT9Qz4OZQI8Sug4BjrLzvQ7kZGBf4EDgw2h5hGwFuQF9tdhYdGQ6GC2Th+yzABgJrIRg\n",
       "hTnF7foJtpfKoAjbgc8BPwLZbOdV3ODnADcC56DXhG/W/JDTgSuBj4O8gObTMuDzaJndiU7Nd1WN\n",
       "ITIYWFMivx4ALoDgDdvnBXTmox2wFZiK1puQLiDPos8VzwWOQa9bvwgchtapGnSKcBVaNyYAz6N5\n",
       "fxNwcIq6tdHa8RzgETveycBZwGtAN234DeewCjgNuFrTeBLkr5onTAL+gta360FmAP+Dzgq9B2xA\n",
       "XyzSsYSu4RAsKPyUq9AR+QxbsQSdcQlM5zXoqKgTcK1td4vpG4K2hY4ULqusDQ+M5n9/CBZq0EjU\n",
       "daqd12J06r8dOuUI+mzvucAIDZSsQcvhNZAvoH5oEHCQpa0EluonWAsywLQuADbauayCYGuSIDuN\n",
       "D9j5P2u6Opi2Uag/7AncZcd9GrgU5HIIBCT0uyeZrr+jfu1RCqP82oidIWj+npmcV8HDNMzyyF+B\n",
       "r0PwL/RVmi+DLAWeA15H69WjtuN2YDVadtvQWZeVmheIaQnQstyE1vv3IFheOp8A5Hg0j7dYnr0F\n",
       "wTzrMPcGpqAxaYPtsLfmi/wc+DVwLDDf0tYCk0DusXPoAPwAZD6FWc1hIGOBfeLyq1QLFZAN6FB2\n",
       "PjAceAOd4nsTzcC1aAPsZOkPAW8DP0QdGGgGD0WnYt8DLoXgNxYsPo9m7JeAl1BHNBCYDMGzMRrF\n",
       "CnMcOlW2q61/GYIN2rvlt2glqkOd8DGoc3gIDcbtaHztbBONr3m8gxZK2AtdDXSAoGNCvoll+FsQ\n",
       "bCtK6oI+iN8TndY71/R1RTsTvSwtvA5bT9OPx6xCG8vwyO/2EHSO0SUg+0PwpPW+HkE7JUtRh30H\n",
       "sB44AnXER6AN+Qjbf4MeIzrNjVDIr41oHm1F82gpmuddTFefBF390I7J/0PryyNox+Jl23818Dga\n",
       "MPsC+6D1cDDQA3U6C4Fz0EbVzvR2tWVn01mD1tPlNEyPBw1/mtDVDoL6JtLCTWqB6cD30CnIQ9A8\n",
       "3I62jRrgVdM7Dm3UnSN5+BLwAnAo6mw6AosgGBajKdR1FeqYelNwkH+B4AnbZKjpOQx1+u/YOf/a\n",
       "NHwUrTeb0GB4POp8V6B5PcC0jbP8mgL0giB0fE1oitMrh6PBejnwGbRuP27HrjV7IyzfulCoT5vs\n",
       "mOH1pu1o2XaI2FqOdhLbxeuSDsD1aN16EvUpI4AlqH/qDYy2Y/0SrTPnoj6rO9phDbWtRPO9M1q/\n",
       "B6D+bottJ+g9AqsgGBifJwhIGHz7oXV0gx17HuojN6Kdn2+inZob0WD6DoV7EJ5BO9ez0Ps+ppru\n",
       "GjuvOcCetu1jwIHJ9T0pDsjhpnVPtAO9L1pnt6Pl1dHyp4NpGGJpNagfCI+9Hr0jPhxYLQH6QNA1\n",
       "XpcQOa86sxHq3Yx2jANgjOmYi7a/6KzGHNR3XI0OhJJmPNagZU9cfqUJmLWFUYPUlDeCkIOAuRAs\n",
       "K7lp4/0C7VHFFmaJQi55/BrbfzuFUfYICgXQB1hsvbr2aAPvA8E7JWyXqUs6AFsb56n0QR3YYDQY\n",
       "hg11O9BPe1gN24b5lGS7aL1YoypVJjIOdWpLbP+uFBzdRDQg9DBt9WjAX4OOgPcCZgPdrfeaRldX\n",
       "CGKm8EshtTRMoQTbNV8YhDZkQRtcL9QhvQOshWB1Ol2VQgLT0Q+C9+I2SrBdJV1JSJ3aDbbG2E6p\n",
       "SWxkyCLUuS1D63Y7tP50QgPaHLTtbUMD9na03gVoXQsDV39gudWXMnRJXWEUKBbwijtG0p7CTXKb\n",
       "gToINltaZ7RdbkED+zq07m9DHfYYCJ5LyJOIrkZtNwHphnZclqPOfCvwr8K+UosG9TFo0B2H5ttG\n",
       "07gH6oPnxuhqQb0KL0VEz0MC01mL5lNgn1oIVlp6DzSIrbDRZkpdEo7Gt5QezUtHYPOO2gKxsu+L\n",
       "5ulGNIhuQWd9lqvt4L0YXclWy92hwlRofruiVOAaRVXIY14l2Xdd5dnOoy4vw/Js51GXl2EZ9v2V\n",
       "Y47jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+Y\n",
       "juM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO\n",
       "4ziOk4J2JdJnku3/JZuZsD4rXXGawrS86fIyjLcftz5vZRim5U2Xl2HTtpPS8qbLyzDevuM4juM4\n",
       "juM4juM4juM4juM4juM4juM4juM4juM4juM4PIze2pvV5+Ec6orTlFddWWpyXV63djZdcZryqitL\n",
       "TW1RVyLSnJ0qSJz9LHUl2c6jLi/D8uznsQxLpVWbPOZVkv085lWptGqTx7xKsp9LXf6mH8dxHMdJ\n",
       "gQfM3CO7Za3AcRzHKU0uh8UJ61uDVpxykQ4gAlKbZuMy17cWFdYllerk5TG/fDqvPPKoy8uwPNqU\n",
       "Lh9h5pvOtuyaqYp8UQ9yYNYiHMfZ+XifBUzZDeSyrFVUkE627FY9EzKoeseuGvtnLaBlSCeQj4IE\n",
       "WSupLPIBkBFZq3B2FmRU1gqKiRkWyzEgQ7OzH6vrVp3CrCqtOSU7xqZk01zHbObUhgjIQeUqK4NK\n",
       "T8kKyPearaa0/VaYCpKD7TzGlGHb0uRvIBdUS1my7VLrRUBmV11NrP2S61uDHE3JSsfIJYw85lWS\n",
       "/VJ+a3iVfX1Fp2TvB+5tvpaqsT1rARUmnJLtXmU7fap8/ArRMCJr6zMj3YuW5XA0cHEFtVSa9lkL\n",
       "cBrYCHwlaxFVwmbfWneWpiWOp4rThM3m/Rowq5TX0rHITt7pULRsq4SBsrnl2rtSQqpAqf+xm4D0\n",
       "B2nB/onHHgzSRjqGFWVw1gKqRBO+QAZWe5q2GQFTQoFZD+Wbok4XDYGgrRNew6zWCDN0IP2rdPxK\n",
       "E9781CVTFS2nhy2bW66bKiWkCqS5ozuOxcDn45NlaAvukn4T+Hsz922DSDjSX56pjBYhExISw85m\n",
       "1Bf8DXijenqaN8IcBqwGBuXwpoWRtuyZpYgKEo78qtUz7mvL0VU6fqV5vwTMZo4wG4LF5kqKqTAt\n",
       "HSEW3RshYyM/FgBnl39IuQSdKh7ZbFVtj91tmWI2Rr4GMr2qaprHSyBxs19di5YAvaqsp1kBcyTw\n",
       "HDo/3ho3/pTDRGALbSZgSmA3SsQFgHB9vyoJCEeWuydulR/CANNWppDjaO4IM6zXeZ6STgiY0i3F\n",
       "lGvEJ8kY4N9F6QPSyWjUmb/JljvT9dVJtkzjC78FfL+KWlrCLjHrS3SepQNIMzpXyTQnYI4BXgee\n",
       "BqZUVk5LkEuAIcAc2kzAbOgRxY3wwusPfQurpF1Cr6tcBgAPAXvkcLagKUaio6uEEaacH5mOyitD\n",
       "gaU0mjlIdX2tP7CWxEAr5xaNyorTP1DlSxZJdXMNcG2J/aM+yc5TOsWkJ/GIXRP9RmRd1wq++CIH\n",
       "yO9AzihaF7aNEcBrQF+QlP6wYn6l+Li9Qc5qpo+Jq8ulZpsOAe4s0nEZyJeaoaGBFJVHhoDsF1kx\n",
       "CXgBmEd89G8FZCLIviA/toK+HvgJsIJWGJpXiJG2HB+TPhp4Fog+K3kd6njQwCBfLm1GTgL5iOZT\n",
       "o0YxAO1g9AbskRy5K9vgKXVNrBttmsageuN6le2AnwKHV01eKqQG5OSEwL0L8ACNpwhvT3HgV9BR\n",
       "dmQqV7qBnBKx9TPgxoRjPAVcEp8svwJpSbsuanvSrqg+WSdbOmpZy2020xKWezSYhx3FAZHz62j7\n",
       "fqKEjgPR66FXoZ2MdsDLwLFF+roU+bc2gvQDTgU+GFnXH1hnN76MQP/jxm7AiyUO9pYt14O8BvIn\n",
       "kHu0XgHIF0C+U2Q/sE9XrS9yZMLswcXAXcDlkf13Bbmm1FnSaDAhQaQehLNjPSLbRu+rMR8h3UD2\n",
       "0o4i3wPsPGQ0yP0p7JeFmBMVkDfNmYoFq+kgL9DwALZMsYydBLI7yMhCQ5H2tr5nfC9Gappw1AnP\n",
       "6Ejx51E7xq9AXjEtB5vm71gvpx+NHqyWTiDTtFOwg4lQe7EDT/Os3EQ7dpfGvTv5LMgJIL3Q54i+\n",
       "Ytqvs/S+6FRCd9v3ZZBPgixD7/ILQP7X9ukMcpB9H1ZmXt0T+f5Jc+7R9JdBrgT5Aci/QC5He2ef\n",
       "R0cw+1peTgA5VRuKtAfZE6S2UKklSNbV8PUokAGWZwLyxcL+coCtuwLkVZCLQZZb/g1BG+yRtn34\n",
       "3OrXI8eeSKOGKaFDT8qv803TAXZe54B8EGS81e39QM4DOc10TEcdgN3wIheYjo+bxuNADrPf+5n+\n",
       "M0FeBLnI9l+ZoClajv+w5Z/RZzLfsN+XWh0Jy2+ylW1vkFlWXida+iw0yF6G3kjzmOXjOEu/H2Rv\n",
       "M1tXIq/GovV2Ksg2298cp7S33xehTlWsPg2x72fa8gOR77PQF5CsA/myrTsY5Gz7/keQz+j3RF1f\n",
       "tO0vK5S5nAmyFCQcudaAPG3b/cTKphuIOWEJrCx/Y+U/BeQINGBbYJcRVu/a23FLlWE9yFqQ10Fm\n",
       "gNwE8lW0fv8M5Ocg30X92YMg16LB6HyQz1k9+qrt+y7aJs604/zGzmVZJN8E5MnkvALb9k3b/t8U\n",
       "fMEDke+zQL6NtsGXQNaArLa0DSAPgVwNciPqP64E2WLbHQ2yCOQ/bZ/XU5ThHDv2NajPud1+X4vW\n",
       "0bBu9bTPQhrqn0yPpIf6t9pyFMhV9n06yMfQtv4TNG4Mj9NVaiQhILeio7YLgFXAuRA8gk77XIP2\n",
       "2LZQ6A2uQe/uDOwzHyi+1fcBdEi9BL2rrgMwAagHZtgxekJwUYxGAemKPkZyMjoVewMEYif7YeBI\n",
       "YB/T9RSwp9naBjwO7EHjm2neQaf71unxGW/rxgKz0BudNkFwekK+CcgC9Maoegp3DL5ix97Lfm+m\n",
       "cB3qVuATwNvoNditNNzty8+A89G7+46M2Flu2uqBvYHnIdgjIa92R0eRfdBRWl90lHIHBE/ZZmMs\n",
       "fTnaO98dOAwd+RyIXv/ZYPsdar+jvbuNpqcOnblYqDaD7gm63kHrVHi9pR69m7EXWgd6odPr7wED\n",
       "gdmm5WvAFWj+zgeGo88GD0VHbR2AvwD7ms6+wN2m60zgNxCckaBrsZ3b5sg5vopOEdbQ+DraRtPa\n",
       "w+yuMt1/BY5p4viYhj8Av0LL711gP5OTVLdqIdgO8im0570OHXEHwH223WOWR8VsBZ4HnkDLb1IT\n",
       "26wDHqUwatkIdErQJUV+5QLgLDTf30JHi5EOKi+j7XwlO84CvQX8HPg6jdtAlCvREaORpItAgxnz\n",
       "1S80JD2Itv2X0bZdh5bHR4Fz0TreGb3j8mD7frWlj4vY2IbWy6Fom9kKtIOgb4wm0yUPAH8C9lNt\n",
       "9Ef95VqzPRktm47Azaa1Dp3C7476uhfRO6WvBD6OttNxqJ+bjvrbsRDcCXIq8BYETyfnVcPPnsBq\n",
       "86X7AEeh15F7Ahei/uOfwK/RenQvemfqYuDT6FToG2g7OQ9tB3dAcD/Icego8292HldBsDRelwy0\n",
       "/XtR8D8vonk+xfLnfEtbaza3Urgkt5rGPiotSyHo15SuFAGz1DbSEzgReAQNgBsss7uhU4mhg3nS\n",
       "vk9AM6uLfRajN7XUA8uAXVHHswaCH8bYT6EL0OsVnSFYp70OeqIVa1fTG07VLEYrWVfbJqBQSeaj\n",
       "FaOdHeuuBNsCMgV1gD3QRhVQeG5unuXBBgg2gNRBsBUdIQ5BG95ENHiuhsBukZZOpnskmsdz0Yrc\n",
       "EQ0Uh0Dw25blVTlIrR23u51jJwqdjT56fowDlkEwP16XTEHL/lG0zNujZdELDZAr0U7REt2+keMb\n",
       "YnaORK+pj0OD1ZNoI9qAlm8t2rkYg9axd4BJEHw3Xle4XtrZ/luKbHfQdSFhmtShdWY1BFvQEXY3\n",
       "O+YGCOp136CJu1ylk9aJpLqVVI5Sg9azjaZ3KzqbE3aCekCwqGifAK1vFiSCyNSddELr5DIIVsbY\n",
       "DkeTw9RGsNaOOZKCk3sFDe5LIVgAMhl1dr+wbbYDgyF4xg45QvWzAp1O3Ia2199bHuyF1pXZeo7l\n",
       "1nmZiE6Jd0Xr698bl4ccgJb5ELXBQgjsMZ6Gf4IgaCesix4jWAoyCe0gzoy3XY22mJo421lqSrKf\n",
       "VIZ1qM9Zj3Y4l6KBsj1a18OO9luoj1yH+t1haH16F+3Iia1/F60Pm9CB0hwIVsfbTz6ZLEkxndfq\n",
       "lJhyyYw85lWSfddVnu086vIyLM92HnV5GZZh/310x5jjOI7jVA8PmI7jOI6TAg+YjuM4jpMCD5iO\n",
       "4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7j\n",
       "OI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpOCdiXSZ5Lt/yWbmbA+K11xmsK0vOny\n",
       "Moy3H7c+b2UYpuVNl5dh07aT0vKmy8sw3r7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7j\n",
       "ODyM3tqb1efhHOqK05RXXVlqcl1et3Y2XXGa8qorS01tUVci0pydKkic/Sx1JdnOoy4vw/Ls57EM\n",
       "S6VVmzzmVZL9POZVqbRqk8e8SrKfS13+ph+nCaQryFFZq3DaCvJrkMuyVuE4WZPLKJ+wPm7zgS1W\n",
       "ks72+6QHKV8CqdS5tKkeZML61qCN1i0RkJdaTc0O9lOvbw3aaBlmRpvStROMMKUOWARSm7WSDZyu\n",
       "1QAAHuNJREFUNkSpVyY6TjFB1gIcp9rsBAGTbrbsnKmKtsXOUC+cyuIB03nfszM4xu627JKpiiaR\n",
       "j4Gsz1pFE+wM9cKpLB4wnVZGDgPZvTUt7gyOMRxh5jBg8gHyOfLNsF7IUJBl2dl3mokHTKe1eQi4\n",
       "uzUN7gwBM8cjTLZmLSCGLOvFbkCfDO07zaONBkwRkN5Zq8gHcgrIJVmrKJN+rWmsSo5RPgPyUHWO\n",
       "XTZ5DpjbdSF12crYgSwDZlddSMcMNTjl0wYDpoSaB2cqIz/cBdyUtYgy6dSaxqrlGHcHDgPJw92W\n",
       "eQ6YvWzZN1MVO2J3FEsWTnCQLfOWJ4aMAZmatYoc0gYDZoNP6JmpimYhR1WhfXYD8nhPRRKtekmr\n",
       "WgFzky0nV+n45RAGpTwGzOG2zFtwCPOqQwa2BxQt88ZVwCNZi8ghbeCxLfk8yHGRFWGg7J+FmuYj\n",
       "Q4G/owOTSvNWFY5ZTdq3prFqBcxwXnl408lS14pTbmGjyON1ijHAElp5Hj4F4TXELKZFQ+f1hI7m\n",
       "skRqQGaATIqs3GBpGYyoZGHM+s428j28dfU0IovOVblcD/y/yO8etsxr5yyOI205rXKHlNBPLo+s\n",
       "2xPkXpBuTe6SPXYPiLTaJaQqGJIewP7Av4nvuV0JbKy87SYJR5g5u04h7YFhwFMkBsxMpkXDgBkz\n",
       "3SEDQU6qku3+wBr05Qmfjths5XyQ9sC9wEnADSBTLCHMmyycyGB9beEOrAdeAx4AebB186rhhSDb\n",
       "W89mc5AwOB6rU+pyMPB1W5cz35CEBMBXgPuBH4CcXqEDh7OB0TZ/BnAycESFbFQQqUF9xDoKl90y\n",
       "p9xX0A2wu87eA/kWyE8LN7RIu0JDll/ZdqV6pS18bZKcaHZeBbm1KK25PeIKvfpK9gB5BeR7IFfE\n",
       "bHMxyOst1NWcV+PNtnzbLyb9ljJenVemLnkE5EiQ00zDZdbLvTmlvbQk6JKLzHbx5yqQefZ9F9u8\n",
       "BaMT6QpyRiTAlahbDTrOsVWjQI6xdfcVaW2N10EKSH+QrSCrKmgvLUm6OoOcZXW1HcgHY8p0M8jt\n",
       "raCpVFp0szqQQ0E60TATJ8NAbtNZBhENGHIuyJspZxaS8qpXJD/mFTpl8kv1P3Irjd6UJgHIcF0n\n",
       "Y9OdU3N0Je62j+l9s9AWd9imJTOZzXo1n1jGdAM5E2R/kL72OcoK8TSQnmiAFJCnQbpbYYaFMCOS\n",
       "djHIIvu9e6RCHAiyq+3bEWRCguii9TIZZBBIF9NzNMjoiP2bQNaAnKCORDra+i81cehSo+5STi1A\n",
       "nyWcbqtGFiqbjDRdHwT5LciPQU4FWQ5yfNGhApAXTWekByztafo1f6Xe9xlYI+xn+s6xCjXS8nwC\n",
       "6vwOBtkI8gTI+bZuABrExtuxbmWHgCmHNNaZRpcIel0p7EgdYOv6FzViAdkAshvIEBochHQH+b7V\n",
       "m5PsHDqT7q7jUroE5G6QaSBnU+h8LUU7FIdRaLRX0RCgZJCV8QjVKVeAjLO8/ritHwHyOZCbbf8r\n",
       "QX6WoCnUtXdE2xKQbfb9Da238nRRns0GuQSkDy27AS8pr04BWW32Ivne6PuVhfodOjGZQcEx72ll\n",
       "HlAYyTdlzhx1Kl3Rzw+tLX0F7aSuj6R9DuRtdph2lABkXyvjC0FGxesqtp2UJtNAPmnHPBWdSh9k\n",
       "3/8b5A9F2sXqzXOR31fb4bqAbLF1662se6EdhWtBPoK275oSebXVjvGxiI3r0OB5YmTdOjvuJ+33\n",
       "FbY8GfUpE0DGF8pI+oN8oshcBxr72CRdR4MMBvk06osuQePE7Wb3b1bnDwLZxerWnSD7WXt41NID\n",
       "Cj4mMvsSXd+U/R0pNXUjCeX/GjqluI7CTSvTIbgxsnsdcAN6YXYDsAA4C3gAGA+cYBu+BYyMHHuB\n",
       "HjuI0yggv0TvqNwKHB1J20jhVuNHga9BMBMNjt9p4lgLgHrgFtNwETADvSbzhm2zDzo91weCL8Ro\n",
       "CnVFfy+lMN26EJ3uCKeIn0enOlaY7QuAF4CB6JRkV+B1+77a9l8KfAl4BfgVOo2yAXgZgptidJnj\n",
       "Z7idR9JdZfVm65tm+y6Sn4m8A1gFbAMuA+YBPwbG2ud3ENyaoCv6+x+A/YeUIKzcPYHfo9dq3qJx\n",
       "HfkNMAJoahT8LvBHtAzfBerQacv1wCJgOwT/m6BrKrAFgtlFSROBt4HzgMvRsplgiduAxejNL2EZ\n",
       "tqdwHXgZjW/uesi2/RXwIWAKBL1jNJmuME0uAd4BHrPjL4QgMiUqI4E90Lr3bQp1cBGw0vJkLdp+\n",
       "5tu6LaZnCPCqpQswFoJPJuQVwO+A0+y4cyyPPg3Mte12teWjwFQKZf0AWv8/bOnz0Xr6a9S3vGLn\n",
       "N43G06bfBE6HYFKCrgXotclvAieiZXMuBDYSlsHAhcB1wG1oW9qCtoHfo3Xr4qLj/t70bkFvjFuK\n",
       "3uA40JZLILg6RlOoazuNL4WtQ+vni8Bsy5ddgFkRXQcDM4H/BNZDUHQ5S44DPoX6jIPR/H/Mzrsn\n",
       "sAGCHgl5tQj1y7OAq+0cp6Hl93lLuxOddg+1r0GnQn8JnNnEcV9FfTyaL7yF1v8BqC97COgPwYcS\n",
       "dBWvW4Hei7IGbS/zQG4CwmdHQ99fT+Ob0GYBk9A2OBb1HXOB023dfcA49DLLLGAbBLc1pStNwByJ\n",
       "Vtp30AzrbMLCQqtDK/loCP5W4njRQw9Hg8e/7ST+jVbgZ9BMfRiCpTEaBf13QsvRgPkMheBWi554\n",
       "N83QRrvthVbA/0MzdqH93g04FO0E9LP1i01HV7Sg+gBrILgqRlOoa3c0nzah1+NeQRvYSDt+V7RA\n",
       "10EQqRHSBxiNOrVeZuMF1IGdg+ZzN+BBtPCH6DHoBHSE4IKEvLocrbR/BPZCG1S9ng8D0KAnqINf\n",
       "XmiQMsTyowa9QaI7WukPQPN8tO3b3865k51rDTAKWArBWQm6zkad7LFooP4/7dzssGl3CNagN98c\n",
       "ADwOfBl4DnWu41Hnu4vpHYk66cB+r7TlJtQRb4Xgw/G6SrULqQHORwPO9bbPeLMxDXVuL6Jtph1a\n",
       "nhPRsh0KPNg4wIXHDOoTbKfQFas3rHNhm+uLlucq0zzKjr2CQr3tgNa5hRD8IMa2gJwAwZ/RqbmL\n",
       "Kdz8MxBt039D/ccYtD7XoZ2cPwGHo3XwZTSQ1qJtc4ppGYzWpYV2jP1s+166f/C7BF3m2IMdvG4T\n",
       "m7cHjjMb3dBO8+No3RqI1rP+wIF2fv3Q4N4Jzcu1dl4dILg0RlOoqxMEm3RJAMGGJjYL0msvta/s\n",
       "AXSG4PEYXSnrlQR6TNkL2ATBXIsNb6N1PIwNkyk8JdEXDUjt0XzdSuGu1vHAYgh+Ea9LjkP9lg0c\n",
       "gu1al4N1kc1q0Xqy0Jbd0NjUFy2vVRQ6IHWo3zzSNNZaekfgPbTe1QNrITgzXb7sIDpTmjm/XVVK\n",
       "TLlkRh7zKsm+6yrPdh51eRmWZzuPurwMy7C/M7waz3Ecx3FajAdMx3Ecx0mBB0zHcRzHSYEHTMdx\n",
       "HMdJgQdMx3Ecx0mBB0zHcRzHSYEHTMdxHMdJgQdMx3Ecx0mBB0zHcRzHSYEHTMdxHMdJgQdMx3Ec\n",
       "x0mBB0zHcRzHSYEHTMdxHMdJgQdMx3Ecx0mBB0zHcRzHSUG7Eukzyfb/kjXxz4Qb1melK05TmJY3\n",
       "XV6G8fbj1uetDMO0vOnyMmzadlJa3nR5GcbbdxzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzH\n",
       "cRyHh9Fbe7P6PJxDXXGa8qorS02uy+vWzqYrTlNedWWpqS3qSkSas1MFibOfpa4k23nU5WVYnv08\n",
       "lmGptGqTx7xKsp/HvCqVVm3ymFdJ9nOpy9/04ziOs9MjAcjeWato6+Qyyiesbw28B1keJXRJD5An\n",
       "Wk3NDvZTr28N2mDdkhNBPtCqahrZL2t9a9AGyxBAdgXJQl8ey7DZ9vMqOo8Vr1RatWlGXomATKyK\n",
       "mtL2w4Y62RtqKtt51CVWh15tVTWN7Je1vjVIUYYSgOzeKmp2sB23Xvbydljavk/JOmMztp91w3Ba\n",
       "TpC1gDbGQcDzWYsoojZrAW0BD5hOTuqA5ESH0wy87MqjXheSp45GnS68HSbhmeNk3bPsYMtOmapw\n",
       "WkKeHH9bIMyvnpmqaEzY/jokbrWTU8WAKRNBzqve8Z0KkXXA7GhLD5htFw+Y5RHW9QGZqmiMB8wU\n",
       "VHOEeQJwO0i3Ktpwmo2E/ws16wbSxgKmdCy9zU5Hjmeq5GMg7bNWUURY1/M0wuxsy6z9Qa6pZkXv\n",
       "akt/tiefhI22S6YqCjraQMCUQcBGkGlZK8kZeR5h/hKYmrWIIsJOV54GEx4wU1DNgNnDliOqaKON\n",
       "IF1BDs1aRRFho806YLalEeYEWz6YqYpYpCPIkxkYzukIs+GmmvpMZexIWNe7Z6qiMW0kYEodyLjI\n",
       "DFmrUu2A+R4wrOlkGQIysor2QzujQU4D2Q1keoltK5gf0h7kWpuS/hzwcM7uQAsbbY/ErapPGDA7\n",
       "N50s7UGOL1rXBySL6azDIhrqMrBfiknAvhlMG+dtyjMkDEgxdSszwraXpxFmP1vmPGDyC+BVYHUW\n",
       "xqsdMF8iNmByG/BmFe1j1y7mAb8FzgG+rwG0yW2nAPUgFRjpSI3Z+yrwe2C8JczPUdAMnWrvTFUU\n",
       "dMQFwMOBPxXdgj8HmFVVVUhneyg/aveDke99qmu/WRxpy40gRyZuWVn6tqKtcgjr9v0g/UAu1vYt\n",
       "e4MsAVkDcpB23GWPVnzMI8UIszUGE40YbMscB0zZC/iw/egM0svKbnKGohrRgofKZSbIjSD3xaTf\n",
       "ZQ4paVqimW+BkA4g94IcYzbCz5sgL+urvIobh3zdtjkh+dil3uQhH9WRbCO70c+EhP1bQqk3eRTd\n",
       "DStTTc+vYnYLLH1UZF0dyPAK6/qy2Tk7ZrMPW/oAkCsi229JMDkJJK6jlkKX/BjkB2bHHIkEIO+B\n",
       "7G/rqzH12YI3/cjBTdS1OyPp7UAO0ABRMV1WDlJfmCKTdiDrtbwA5MBm1JlK6ApALm8iT25JaJun\n",
       "V1FTJE2+Yfa+FrPZRCr/Fq5S7XCG2TzQftdRkcFDi3WNAbkZnZH8I8ifQPrGlF/XmGNVUlfanaST\n",
       "VcKaHTNSApBBBacsvUBWg5wB8mzMof9oJ/mRyLqPgZySQnTMehkC8rkmMvKbILNBzipa/yQauC8A\n",
       "uR8NqL8A6W4V5g6Q22gcXEsFzPDz3+bEpqrTlV1B/qL5IYfYpwuNAlKLSHIeHzFNz1pj3AtkFshz\n",
       "IH+3zQaCfBDkz2hve7jtcyb6vtfRaMCKvt7rdBqNmKVWyz6tLjAHthXk85GkXhQc7hdMx2FFZRc+\n",
       "/H0gyFL73gl12ALyTAvyK/r5Ach/oaMRiRxfQP5N6cBcDmnr1rdBPgTyWXS0dEMkbQPIv9CgL2gH\n",
       "8Xsg2yLbvA5yvbWL1SDfBZmGvqbwPKsf+1kbmFwir54EecOOewWFjsb/aN0QAXkHJDItKhMp6+75\n",
       "2JFfkq4Pmu3XispT0Da+uGjdOpC3afm1sVJl2B3kVdS3PB1Jag+yv30/wzR9Fm27vdGRVOSSklxA\n",
       "eXf/JuXVyWbvPdQHrrA2KTT4Y+kIcpp972HtcTRIS++BSNJ1fFEZPUjDAEv6glyIzhREtzm8hXoS\n",
       "dZWaghCQh9DXpw0FtlOYxn0cvQliGTr92he9Zvk6hbvSBtq6B4F/A+3Q5/42AScD9wBHAz9Fp+au\n",
       "s/0+DgyA4IYYjaKOgmGm6WjgGNO5FrgWuBc4BbgNglWRXeuA4Wb7dXR6bxqwC3ARcL9tuAqdJtxu\n",
       "5yjAVgiGJuSbgBwCrIagiVdfyf6Wb8U8psfmaWAGMB+dxj0J2ID+b7ZaYB2an1vRaZ2BpmURBHMS\n",
       "8grgbRrfgPUP4DvAP4HvoXk1zs4zADaajSXoW0CigXAz8AhwBPBfwK7AvsACYApwBzAX+CwEgxN0\n",
       "XQN8HXgKnT77Bjo19AVgEHAucCmwVxP7A1wAfAI4BLgcLfen0FePbQBORevSNDvf3wArge4Q/L1E\n",
       "fn0FLY9L0Lr6ODAPgrPNSSyI5Ek98G20fAaj9eVZ9BrVAGAIWlY/Al6zdSNsu5XoNbZtELwSoymq\n",
       "azk6Hbyewg1bq4ATgccg2B7Z5Vi0Ts9F28W/0Ho+Bhhl+mstv0IeBA5E2+Mqy6uahLwah5Zd+AL9\n",
       "P6B3pt7Ejs8ZPgDcDPzOPt9EHz/rqHboCdyOXp9ajPqc76L5eD3avp8EJgIrILg7QRfADWg5DgL2\n",
       "BEYDP4Qg7GztDcwEDoXgGZAH0OvU3zKbfzF7Q4F3KeT3YvSa32IIRDsGBEA7CDbFaAp1/Z+dxyg7\n",
       "zhuoP1yGluGD6GWIkGctXwQtu9vQcjsDuBO9br0MmA3sg7bLTWg9fBFYA3RIkVcAP0HbVJSVaBlM\n",
       "AM4G7gaOp7E/uAVtA+vQ64uP2Ppj0Xz8p/3ejublItM1EYJ7EnRttbTpaJ38Dwg2FG1WA/wv2i4m\n",
       "on7oebS+tDedyyy9G7AFWAE8h9b9AI1dfS39Dd02WNWUrjQB8xrU2S40Aa+jgW+ArZ+KOtdFtm4D\n",
       "GgAmQ/BP60keBhyFPmqyEHUWZ6GO4iLUUY9HC/0J4Hy1HRybkJnhhd/2wEOWCb8E3tRK3FwkAPZA\n",
       "g+pbdtxeqNNbBsHsGE2mq1SeSm80PxajgWgecAB6fWwhcKbZehptrFvQPA47K4PQQLYODZyrdF0w\n",
       "Jsa2TVUE6+3cjgBmQrDVks8B9rNz/RdadnWmaS5wKFomK9BOyUtoeYUdh9G2XSf71KEBdbxqD85J\n",
       "0PUKWna3A/9hx9yM1q8Odn7zgL8Bk+38N6NO4jjUIWxFHVkPCh2JsWiDfN5+T0Tr3hLLr/cgOCRB\n",
       "1xC0ExIZTcfVKRmAOoappvEpy7P1eizmoPVnGBo0+1leLqVwo8V2PefYzoXpCtOkYySfuuo5tajO\n",
       "d0KdhUCwNDKiOxpYAMFLMbqimg4BnrKAAcgepq8e7XAchNavj6DOajzadjcB75j9/qj/6I92Cuah\n",
       "9bIWzaN6S1ur+wUnxuuSuagP2lRGPvRCO16Ho/VpC+oLFrNj8F+P1rE602o6AkgsQ/krcLq1x0OA\n",
       "C+182qP1fIKd71/Q+v4YGiwGo858KrA7Wn/6AtvQYDAI9RurTO9YtCOzDu3AnxqjS0D+A/XlD6Fl\n",
       "1lE1BfUgR6OdVtByW4l22h9AA/Qm1Lf3Bk5DA/xuaF3/pZ3DBLTsOpud8ablRQiOS9C1CwRvxuRl\n",
       "DFKLxpRz0U5tezt+LzTPOqDtbpJp2oYG1FV2brsAfSDoEqMr2Xq5O5Rx6DTz4yWm8zKhxJRLiw8f\n",
       "0LybD/KYV0n2q1m30uRfHvOrynWr2bRyXklty/1DpW7gkc46ipGRGlClL4XLU7vbpzc6VV+boClJ\n",
       "b2vQimUYXrpLt3GZ6ytE6GebqiclyzH+qC1U1VLcqaUnj3mVZN91lWc7j7q8DMuznUddXoZl2M/L\n",
       "Iw6O4ziOk2s8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8\n",
       "YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxg\n",
       "Oo7jOE4K2pVIn0m2/5dsZsL6rHTFaQrT8qbLyzDeftz6vJVhmJY3XV6GTdtOSsubLi/DePuO4ziO\n",
       "4ziO4ziO4ziO4ziO4ziO4ziO4ziO47zfeRi9Uymrz8M51BWnKa+6stTkut7fdctxqsXD5NM/JCLN\n",
       "2amCxNnPUleS7Tzq8jIsz34ey7BUWrXJuqycnY+s61yT9v3FBY7jOI6TAg+Yicj+IMdlraLySA3I\n",
       "nlmrcBzHeT+Ry2FxwvpKm58PUmyrrU2bNbFePtTEeVWLPE59JtlP0CUByNSqqClpuzhNRlVRRwnb\n",
       "jlN1sq5zPiXbDLZnLaBKdM5aQBtlDPBI1iJA6oA3bOk4OxkiIB/LwrIHzGSaETClM0iHykupKEHW\n",
       "AtooFqAk6/zrZctOmapwnOzYLwujHjCTac4I8yXgvkoLqTBZO/y2Shigsu4Q9balB0xnZ6XUPw6p\n",
       "Ch4wk6lvxj4jgV0rrKPStNGAKXu34rXXpuhmyy4ZagAPmI7jATOHNNc5b6ioispjATPzqcVy2T1j\n",
       "+12LllnhAdPZ2fGAmUOae9PPloqqqDztbZlJpWsBX9aF1GZkPy8jzD629IDp7KzkNWBK0AZHIpWi\n",
       "OVOyAMsrqqLy5OVaXBlILYWp7j5JW1aRMGBmPcL0gOns7OQ1YLIY+FPhpwQgQ6slKGdsasY+a4HV\n",
       "lRZSYUJH27HpZKkBGdZqatIxBlgBvA0MykhDOBXaPSP7IT4l6+ykNAzeeiduViXSBMx+wHEgYa/2\n",
       "TGAByEnVk9VayBCQKQkb2AhT2idsU8y7ZD9lV4rwOcxIwJS9QXazH+cC81tZUyn2A/4JvAxkFcz7\n",
       "2bJv08lSC3JQK+jwEaazsxL64kwGbeVcw7wb5Dxd8hpwvI1E7gG5EySTiN9C7gRmJ6T3t2U557YI\n",
       "GJ7hdbY0DLZldIT5NPCYfR+w4y4yFKRHdWXFIR8BTgBmAQuA4THb7Qby6yoK6Qusp1AvijkYmKXt\n",
       "olpIb+AMYDOQUXk4TmYMR9vgKJCYaVm5DWRSa4pqsGxvVbBXxImAfAFkZOR39GPXmGQiSCV6v1V+\n",
       "rZo8seNjCnIkSE+bet5o5z4xpW0BORtkNsgf9U0s0tGO2QPkYpB1O77coCLBtZxX4/3dyuvQyLqw\n",
       "DCeDfMu+12nFkyH2+17b9iCQu4qO2SHmWncKXTIgPsiEr/ETARkMMh3kpzHbXmjbRWYEZLwevxxd\n",
       "4XnIEVYXRukUtbwG8i/Nn4bNJ4EcaN/PNvujQSyoy6Ugn4mxlVZTqOuESF7cBnJtJPkUkOvtez+Q\n",
       "M1LabKkux6kGVudkL6vvJ5s/ugnkRyAvghwA8mHztz8xn93Vtv9D0eHK7cQ2WefTXDjtAsEGkL2B\n",
       "bwG32O+zgaOAn6M3QfweeAXkFWA3YA3Id4C5wFJgGXrtp4f9fg8YiD632B+dbhP7vgwYkPy4oNwC\n",
       "jEanyf4TvXbYHegJrDJNuwPTgJ+gvfJ30OuLC9GDj7Nj/dCOcwg6+noZeACoBV4H5oD8HFhe+hHG\n",
       "4C6QGaYh7m7Z9Wb3G3qeXAJylOlbD2wMDwZss2N1RKeIDwaetO16oyONXiXy6jvAPnY+9cBh6MsV\n",
       "pmtACvMBgGci3y8Bvh/5fRzI7cC+wCSQd9HrinsAHwd+DvJ7YH9gCSXzS6ah+X03MBvke2gZvove\n",
       "oXwScBFwC/AgBO+C/EM1ycuWJxuBV9G6fJ4d+AyQX6BTl3NVo4xHr4MOAh4vUY5/BtkCnIzmb9i5\n",
       "mWGfi0HeAE4ETrFz+QPwIdvuAWCEnc/llj4HNXo4hRdbdAJGWV69kOLx2HC/b6CzAb8FGWHHtOu6\n",
       "Ugtcat+PtbwZCxyL1q8Hga2qj/vQOlGLTnXVorNOi9AbrN4E+rfZx3adNo7cAHzOftyL+u35wGlo\n",
       "vZ5B4TLJFLQt9kPr+Ckg89HLN6uAniDfRev3UuB51GeMQi+hBWib2gKMiKvzpVqCpNgm3LQDcLqd\n",
       "0NvAdLQBTlSx9EKDWg0ayOrRwFgHrLFtA/RGm67AIggmx9gXkPss7XXgQNRxrkEDcXd0+mwV+kxk\n",
       "Z2Clfd8TeMHObQEwD53uq7N9RqFTzhtRx/cE6rTfAL4AQf+EPInklxyk58BCNLANQAuqL3A78Djq\n",
       "tATYBZ2T32o6OpnWGvTOzPWWJ9tNVx1asDX22QJB94S8ugUNFq8Dz6L/HHU98FnbZwFaNvuhTnQ3\n",
       "y7sz0WnQpaY1vEt1BVp+R6MVt59p3ox2SGrsnNpD0CtB13w755vQoLuL7d/DzrEDcCPwCwgij/jI\n",
       "VOBLaFm9adu1RzsTtwJno41gg+XbYluG15aXJJSjgHzNtn0KLZd5wKMQrEOnga61vHoauN/0DrD8\n",
       "eQY4EpgDTKIQcHdFO4eb7Jy3mf5wNLwagh4xmkJdxwF/hSDsfe+LOo861ccX0c7PPWgH9NfAHWjd\n",
       "rTX7b6N1qhMwHm0X3UzPNmAdMMGON1r1Bycl6HKcaiAgtwJ/RH3lxcBDwBOR+j8VbWu/QePMMOA2\n",
       "G9DtCuwNHIHW+SVoR/4t1G/tiw48FqEd7xp0ANcbeBGC42lGna/SVIx0TjlEztl/upCghO1KTRWH\n",
       "QbdWHbT00g5JOGcv7djxmnHO8gpK5FcVdUmNTd8ETawP1+Uwv9rcf8JxnGqRdZ1rlv28is6r88ij\n",
       "Li/D8uznsQxLpVWbrMvK2fnIus75v/dyHMdxnObiAdNxHMdxUuAB03Ecx3FS4AHTcRzHcVLgAdNx\n",
       "HMdxUuAB03Ecx3FS4AHTcRzHcVLgAdNxHMdxUuAB03Ecx3FS4AHTcRzHcVLgAdNxHMdxUuAB03Ec\n",
       "x3FS4AHTcRzHcVLgAdNxHMdxUuAB03Ecx3FS0K5E+kyy/b9kMxPWZ6UrTlOYljddXobx9uPW560M\n",
       "w7Q86nKcapBX/+A4juM4juM4juM4juM4juM4juM4juM4juM4juM4juM47zP+P6xZQbTeKeO+AAAA\n",
       "AElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa74cfbb310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Datasets:\n",
      "  D : (128, 96)             , float32\n",
      "  X : (5, 100, 149, 2, 96)  , float32\n",
      "  Z : (5, 100, 149, 2, 128) , float32\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Overall time: 2752 seconds\n",
      "\n",
      " -------------------- Classification, diag = True -------------------- \n",
      "\n",
      "Software versions:\n",
      "  numpy: 1.8.2\n",
      "  sklearn: 0.14.1\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Datasets:\n",
      "  D : (128, 96)               , float32\n",
      "  X : (5, 100, 149, 2, 96)    , float32\n",
      "  Z : (5, 100, 149, 2, 128)   , float32\n",
      "Full dataset:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 149, 2, 128)\n",
      "<class 'h5py._hl.dataset.Dataset'>\n",
      "Reduced dataset:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 149, 2, 128)\n",
      "<type 'numpy.ndarray'>\n",
      "Flattened frames:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 298, 128)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=128 -> 17,280,000 floats\n",
      "  dim: 34,560 features per clip\n",
      "  shape: (5, 100, 6, 45, 128)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=128 -> 17,280,000 floats\n",
      "  dim: 34,560 features per clip\n",
      "  shape: (5, 100, 6, 45, 128)\n",
      "Feature vectors:\n",
      "  size: N=6,000 x n=128 -> 768,000 floats\n",
      "  dim: 1,536 features per clip\n",
      "  shape: (5, 100, 6, 2, 128)\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAFCCAYAAAB8Ye0uAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXe4JFWZ/z9948wNk3NiGMLMkEGiwJJFFEVXzIqIuubI\n",
       "7qroqj9316zrmnZ1jbumVWFVlFVYEQyIgYwKEkTCEAaGMMMwzDC8vz/ec6br9u2qOlVd1V3d9/08\n",
       "z3363r7V1aeqTr3f831PKDAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMI8IX\n",
       "gbuBaxre/zDwR+Aq4BxgZsznPwxcC3wwx3fvC5yU43Pt5CjgsE4XIoHTgU92uhANLAG+XdC+jgYe\n",
       "BK5wP+8saL9Fs5LJ91Ar/Aewxv1+Vo7vOR1YT/28nRH530uAP7mf0yLvfw293/858t47gVPCi10I\n",
       "Kyn2XBpGYRwJ7M/kCnoC0Od+/4D7acYDQC3nd59O9mBfa+H78vAe4MyMn+kvoRxxvIRqCeZAwfs7\n",
       "Gvh+wfssg5WUF+Q35vielwCfaPL+HOAmYJb78b/vg4o0wPnAOLCY9p/7AUwwO05f+iZTlp8D9zd5\n",
       "/wLgcff7r4FlTbb5PjAGXA48B5gPfAf4jft5otvuYOASt90vgd2BIeC9wHPRFvBzmCxO1wIr0Bvo\n",
       "euAr6I20HPg79x1Xuc818krgQ5G/T6cuLC9yx3QF8O/U68eTgcuAK93x7+T282a37eGuLBe67/0/\n",
       "VxaAL7t9Xeq+9yjqrfvL3XlqJK4cnwF+644/emwHoefvSvc9fp9LgP9FHUOc049+9tfAKDAN+BJw\n",
       "tSvj0W7bXwF7RD57EXCA+8wX3ecvB57u/n86Whd+Qv28XRv53zkx5XsZel1/jQbrOOFPayD1o+f/\n",
       "Gncsb3Lv7+K+93fAz4DV7v2FwP+g5+JK4FD3/lvcPq4B3ujeW4lmWj7njunH6HkDeAJaD64EXhMp\n",
       "z57Ur+tVwK4N5X028FH3+xtR0QJYBfzC/X6R2/8HgOluX/8FiDveZuWJEtewPBEVxAfczwVovd/q\n",
       "vqcPGETv/fcC72qyD09Z9Ucin12JXrvL3I/P9hzt3v8BcB3wbzHHaxiFs5LkFt25wAti/hdt/X4d\n",
       "FRVQofuD+32cuus6HhVVmNwKfjcTBfMa6oK5HRVegCcBn3W/97nyHdlQrnnADZG/z0MFfC16c/ry\n",
       "fAZ4MSr2t6LBHrTV7cv0lsh+znXbA7wUDbygAfv71G/a71O/uUeY7DrjygEw2732Az8F9kYbGDeh\n",
       "QRRULPvRYHMTeo6HgVuApQ3fFffZM4HPu/dWA39x+3gTdaFejAYkgPcBL3S/z0LFbsSV4Tbq52wl\n",
       "9foUV74lwJ/dZwbQ4NfMER0F3IcKz3lMDMSeJ6Ai4JnhXn9CXawOcX8D/DfwBvd7zW3/BDTwT0cD\n",
       "+7XAfu5YtqEOzH/Wn4OrgSPc7x9yf4MKv79fBpgsaAvRxh7ovfBr9Hy8hHo69KeoyMBkhxlXnigv\n",
       "Ada5Mn2beoP3TOAdke3eSf2e+xdUmN+MHvvnSaYd9We62yfAbmhDElQwH3Hb9qHX/1kp5TUCKTpN\n",
       "NJV4B9r6/HrAtsejQuAZR2+IWcB/osFLqF+PLOnVv1APMk9yP1e4v0fdvn8e2f5e4GY0UN6I9gdd\n",
       "ArwODY6/c9tNA+5y2/3MfQ9o69sTLeOhwDPc71+l7mIFDUy+dfxLNAB9DXVYdzQcz3EN5ZjuygHq\n",
       "ul+BnqfF1EXiTrSVDbAp8r0/oR5U/4AGkej3rY757OHURep69Nh3A76FBqD3oM7f90c+CXga8Lfu\n",
       "72G0QSOoM4iesyjNyjcfuDjymW+jmYdGLkdd/Ga0v/u7Tba7CXVnnwB+6Mo+hjZYon2pQ+71GNTd\n",
       "48r+ECp856BBGPf7kWij5s/UxfAyV/6Z7sc7wv+i3h9/CXrfLHP7ubGhvHe78o25bb4O/JUrw9lN\n",
       "zkEjzcrTyLluv9uAv0GzM8el7PfNkd+/7z73DlScL2CygLaj/gwBn0LHO2x3+/f8Bm2AAXyD8PNn\n",
       "pGCCmY/TgaeQfqN5aqjwbG14/zNo0Hwm6uAuivn8Y0xMn0db5g83bPt+NC2VxDfRG/Y6NHB5vsLE\n",
       "gRQAJ6fsK0qcyG+O/P5BNF30VFQ8T0SDSpRm5dgZbbkfiA52+RJ6HoR4Ho38vp1sfajNjmUd6ur2\n",
       "Rs/fKyP/+2smOnfQa954fZLKN8Dk44k7p1F39b9oXZoDbIi8/wAa1J8MvMqV+U3u/f1j9tv4fdLw\n",
       "Xi1SxsbyT0/Z3zfQlPnJqCt+JeoYo1yCZiiuR0X3ZajAv4V0QsoTPT9foN6wu4N66hS0MXJhw2dP\n",
       "QRty42hD5LnAj9DG3yMN25Zdf96MNvZejNbrLZH/RetQjeR7xMiA9WFm58loP+EpTKykSZxPPdUF\n",
       "2ioETXmtc7+/NPL/h9Cb0nML9TTUAah4NOPH6Ki/Uff3UtSxNPI/qBt8PiqeoMJ9amT7OWgr91K0\n",
       "lb8y8j5owI6W8RLgee73F6KutBm7AL9HA9VvqfefeeLKMY4Gj4fQ1N1JaCC4HnWbB7rtfZq7WcBq\n",
       "fC/usz+nniLb3X2/F/X/Bt6KXjvfH/ljJl5fL0ZZ+44EPSdHUU/JPovmAW9hZP8Hu983NGwz1+3j\n",
       "HOAfXLk2ok7s1EgZfRrzJ8Cr3e/96DH+HK0rPiX7DPde3LE9iAqy74KIpkVXue/+JPA9VDga+Tl6\n",
       "f12MZkqOQe+zjU223Ub2Rv+iyO9Pp949cj7q9Gahqf8T0OvqGUT7VT+Engt/Tfrd/xqPoez6M4N6\n",
       "5uU0JjYGD6aekn0OEzNMRguYYMbzDVQEdkf7EbygfRJNGV2A3tCfifl8NMi9AQ3KV6Fi4VuWH0Id\n",
       "4eVohfef+SmabrwCHQhxNioc1wKvZaIji37PBWi66VdoaupbNB9U8wAaKFZQT33+Ee23Od+V83w0\n",
       "uNyLpqDOQQdxfMNtfy7qjP2gn9ej5+gqNFj4wSGNZXwj2g9zFeq4/7ehbHHluNp913Voi96n/Lah\n",
       "Lf1PuvL5wR7CZKFp/Htrk88Oo9e0z33nN9F+r23uM99xn/lWZD//iAbNq9Fr9P8i3xdXhmb/A21A\n",
       "vQ9Nq/0CFZiHmmx3KnoerwQ+Tr2xEmUpWpf8wJi3u/dfiDq3K115/SCTN6ICdTVaL9a6z37ZledS\n",
       "dBDSVQ3H0nhsLwU+Tb1rwL//HPd9V6ADgP6zSZl/4cr9M3SAza3Ur3Ujn3Nl9YN+0q436L14LXrs\n",
       "r0OzRaCNjX9EGyy/Qa9hNBX6GvQ8bHHfOUL9PDVen3bUn8+4/V6JNjo3Rbb5LZqu/QPa/fLdJufB\n",
       "MAyjJ/AZggG0z6zd8/2M7uVotDFrlIA5TMOoHu9BXdg1qEP4XkdLY3QTcZkLwzAMwzAMwzAMwzAM\n",
       "wzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAM\n",
       "wzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzAMwzCMXqWW8v+LgKPaUA6j+lwMHN2m77oIq3eG\n",
       "0q56dxFW54w6ueqdFF8Oo33IcpCdi9pZQfup2ncZ1aZddcHq3JRGtoNMj77RbKu+NpXG6Az/ALy6\n",
       "04UwDMOoLtKHauFQ2pYmmD2L1IATgYFOl8QwDKPC+BhpgjmFWQ2sAAY7XRDDMIwK42OkCWZ3IIeX\n",
       "sNPjgW2YwzS6ChkA6e90KYwphTnM7kFGgQtL2PFC4G7MYRrdxVnA6zpdCGNKEewwzX10niFgUPsc\n",
       "a0WO1BsENmPX2OguZmENeaO9mMPsIgbR+bBFp6EGgUdoyWFKDeSkogpkGAEMAsOdLoQxpbA+zC7C\n",
       "t26KTp16wWzFYS4AvlVMcQwjCBNMo92Yw+wigls3GRmgZYfJ7BY/bxhZMcHseeQtIEXHu1Ywh9lF\n",
       "DDa8FrnfVvsw51C8kBtGEiaYvc870OxVVTCH2UWU5TAL6MNkNlCzYf5GGzHB7H2GqVZD3BxmF1Fl\n",
       "hzk7si/DaAcDmGD2OsNUK6YEO0ybctB5yhz0sxETTKO78KPGjZ5E+tCYVKWYYvMwu4iqD/qhxX0Y\n",
       "RhYGKX6KlVEdfPagSjHFHGYXUWZKttVpJSaYRrsZxOpbL+MF0/owjVyUOehnM60FnzmRfRlGO7BB\n",
       "P71NVztME8zOYw7T6DHkOPd4uTyYYPY209xrlWKKOcwuourTSqBa6ROj0kgfcB66+H8eTDB7myqm\n",
       "ZM1hdhFljZL1g35adZhCtVqDRrVZggaevAHRppX0NiWlZGUIZHb6dk0xh9lFlD0Ps1WHeV+L+zCm\n",
       "Fju717yCaQ6ztymrD/P5wMdyftYcZhdRdkq21aXx7sEE0whnlXvNK3ommL1NWSnZJcBYzs+aw+wi\n",
       "KuowZRo6H+7B/PswpiDmMI0kynKY88lfb7ypSP28CWbnqarDnIGK5TZMMI1wTDCNJMoaJTuf1uoc\n",
       "IZ83wew8ZTnMVlf6mQZswQTTyMYq4HFaS8lOa2FailFtykrJtuowH8cEsysI7nDOSKsO0wSz55GX\n",
       "gpxZ8E53Bv5M6619q3O9SVkp2QW01kjbjAlmV1DRPkyGgUeBrVRrzpRRHHsDOxW8zznA7bQ2rQQs\n",
       "LdurVLUP0wSzS6hqH6YXTHOYvcsi6n1KBSA1t7+NtNba39rC541qU4JgSo3W+zAfDvm8CWbnKdNh\n",
       "Pqq/5noA9DCWku11FlOoYDIIbEcbaq0GLxPM3qSMPsxxt19zmFOAMgf9PIYKXh6XOQ1zmL1OwQ5z\n",
       "R7/3o7QmmJswwexVykjJzkcbaq1kNcxhdgm+VV5GSnYbKpp5KqelZHufxRQrTD4rkTOlKv3ow6M3\n",
       "F1wuozqUMa1kPrCO1vrNTTC7BH+xis7pD6Bil9dhmmD2NDIdmEm1HKZv5D2KCWavMoxmEIo0CPPR\n",
       "gWY2SjYb0o2BPfhigbwOZEHAPgeA7VAT8jtMm1bS2yxyr2UIZt6R1SaYvc8wOiisaId5B631YU41\n",
       "hylrgYs6XYoc+Px5SAV6LXBA4D63ud/NYRrNWIR2BRQtmH4qUp7g5bMiJpi9i3eYRcaUOcCd2CjZ\n",
       "TCwA5umvMr+jJcmGn/4RcrEXEPacQT/gB1rvw9ya8/NGtVkM3EaxwmQpWSONMlKys9GHRPS757Fm\n",
       "ZSo6TMaBEZBVwC86XZgMBC4wIANoSypEMItymD4lawsX9B6LgFsoLyWbR/BMMHufMlKys4H7aa3e\n",
       "Tbk+zDFgBJjlfrqF0JSsc8+ZBbOVPkxLyfYu81GHWaRgRkfJmsPMjfSD5IhhMqf4shROGSlZL5h5\n",
       "Mxu96DBlFcjhCRt4wRx1P91C6KRZP9innQ7TBLN3GQPupXqjZB9jygsmJwBfyfG5m0CqHvumUY5g\n",
       "PoA5zAk8FXhFwv/H0YvhU7Pd8rSDUIc5H11Rv10O01b66W1Ggfsopw/TUrKtMcf9ZECmoZm18RLK\n",
       "UyQ+JVt0H6Z3mHkHm3WDw5SPgDwxcONxkiuDf9r2PHTy8/RWStZGQls3C4AbqDvNJKKDfmyln7Yg\n",
       "LwU5qtOlyECgw5Q9QL4euM/oKFlLyeZnjHo8C8WncLN+rt2U2YeZt950jcPcH9g1cNu0SuT/50fI\n",
       "Vj014Ql9qsh84Fra6zBNMMM5Fjio04XIwBiwARhOycYcADw1MGPTakrWppUoeQRzZuSzVaaMPsxZ\n",
       "TJE+zDTXGCWtEvn9eAc2krdQbSaLw/wDMDdgMXXrw2w/WepyFRgFHiK9QbULMANYFrBPS8kWQ55x\n",
       "GF4wq14HC55WIjXqgtlKvXNPdkpuGPaSYHarwwxdGm8BuprFg8DclG2L7MO0eZhhdJtgjqGBawvJ\n",
       "aVmfAdorYJ9FjpItcjBSt9HrDrPIlOwosA1qW2mtD9MvI5pYrk4L5gzCg8w4YYLpp190i2BmScmu\n",
       "B+4mPS3rKwAU04dp8zDTmeF+uoUxtKGWJpi7AL8D9gzYZ1ELF2yk+oG/TJxgZhq4WGIfptRyLgjQ\n",
       "jKJTsr7/Elofnb2FlLEvnRbMrA4zZNBPtznMLCnZ9ejcuZ0C9lnUSj9TPCUrx7tFI9LoNoc5igau\n",
       "NDe3C/A9YH+QmQnbQTEp2cfQKQLdNJe6aMbIPnCxTIf5QuDjBe3LTysJFDb5+5TphI2C2YrDfJD6\n",
       "eWxKBwVT+tCLG9oqD+nD3EilBFNmgRybslHotJK5qGBeSfp6skWv9NNjgilZAtEXCEtHdptgRh1m\n",
       "TJARn9X5IfB84OKUfRblME0wJ77GIEMgX3FOtEzBXEZYH3YIGVKyshPwT8CBCRtFBbOIhtrspA07\n",
       "6TBH0VZUFoc5PWHAyxiarqyQYHIU8I8p24Q6zLnoqMbLSK5Afp82SrYpshNwRYYPzCVsTtw43ZeS\n",
       "TevD3AW4CWpXAMvR9WeTKGrx9R4XTJmVspJPoGCyBDgNWEG5gpljXmgs00gVTNkfZAbw92hsTPru\n",
       "IlKyvt7dT0q966Rgjje8hm4fJ4Rj6AK8M9AgUIVRsnMJG6CT0ocpfdQrxmXAEwL2WWQfZg8JJkvR\n",
       "4B+ADKP1LSVYSB9d5TClD033bSZZMJehzxkEzW7MSelXK2rQT2pqrMv5W/cTR6hgLnWv+6OB/t6A\n",
       "z+RhNinOKwwZpD7/N6l+fBhdpOYZwFfJJpiRhpoMgOweULDgroBuEswxdKWbuAoxjgom6M2dw2HK\n",
       "x0FWZv9cLPOoD0KKI2RpvHHdprYN+DPqtBclbB8d9NPgMGUPkBellAl6NyU7H10JKqRB5YNEWuva\n",
       "17UuEUymA49CbTvJfZjz2XFP1bai9SHpGC0lG8Zi6s8jbcYYeh7TYpgXzP3QBsbtVNthzkdXl3qE\n",
       "5JgyH3gzWo9+nfLdc90+YXJm4yhUcNOIZjYqm5KdgZ6QLH2Y9xB/w/qULG67PCnZpwN75/hcHPPQ\n",
       "VnnSvMmQPsw5aDoW91DoK4F9UvYZt9LP0WgaJ40eTcnuSNmnOX+o36gJN6wcgE69eIzuEUw/4AcS\n",
       "+zB3jMz2bCD5vBU1D7PXBXMh9XrYjFHgLpqKnwyD/I37YwmwjomCGVMH5aiMffdRCnKYLERjdFpM\n",
       "WYA2KH6M1rkm3y1zQRZG9gmTB/0sJb0bAerxsvIp2XUEBRnpQ1Osd9O8Eg2iouCteQ7BlBp6kZJa\n",
       "flmZi/bTJl2EkGklEcEE4FaSO+GT+jDTWreeaH9ULwnmvIbXJLw4JLVw3we8BH2Abbf0YfoBP5Cc\n",
       "km0UzPtIPhdRwTSHGc8Ckpe4HCNWMFkNfMI1wpcC56Ep2ZnoPO04h/lvwJE5yzsHGNVBRi0RIJhS\n",
       "Q+/Nf0Hd4Qaa17k3AGehsSwqmNEyLgYWBEzPida7yjrMDILJCCoqD9K8QvgWsw8CeRzmDDRVFdIi\n",
       "CSUkOIcM+plDPe0Aet6WpOwzrg9zMWHHGHWYvTQPc37DaxL+Rk1yVXsAa1Fh6SsgqLQDP+AH0lOy\n",
       "eRxmiynZ2hb9Uzq0eIHMA7m0xC9Ic5hJgrkMvTdXoIL5MzRu7UmsYEoN7bdfOvl/QcxueM3LIvS4\n",
       "kmLKLOBhqP0d1H5JvGAuR89BksNc7L4nrfHl196ufB+mE8zUFsA4eoNvApaBrI35/2b3dx7BXNTw\n",
       "WgTz0H7XEMHM4jDvILnypznMeQGBvYv6MOUUkKRBFFHmA0KYw5yDLh8X46pkBnrjrnXbbaQ70rKN\n",
       "KdksDjNNMFsZJRvtSuiky9wDOCT5UVnS50ZzBi4uIO93C/TXSHSYO7Jp62kumP6+3x1tNN+Ousz5\n",
       "xDvMme79vFND5qAZlFb7Mb24JWWt/HxzT5JgLmOiYDbWO28q0mJ6cGaj032YG9CCpuXWfYt4E/A3\n",
       "qF1v/P9G6oKZZ9CPP6kx7kuOAgldKN4zF7iZ5CDj+zAFJC6d0iiYaQ4zaaUff3xpqwV1Ux/mMcCT\n",
       "AredD9xCuGDeqK/yTZDVDf9f416Xo/XvIbojLduYko0Tt8bglZaSbXWUbLTedlIw/cjKnRO2+Rk6\n",
       "Yn3fwH0ego5uH0cb0cMxDnoEHRTzEPEO05dxKRoLfuDeixv0s6zhNQMyiDaEbqV1hxlNycat29rY\n",
       "SHP9ipNWGvJzQxeirhWap2QfI3xltPtpb0pW+kE+H5iWGie8VR4VzAPRFn2UmUx2mFmnlSxGW2hx\n",
       "rZGPAC/OuM95wPUkB+cBNMD8Djg0Zpusgpm00s9itIKltbq6aVrJWupBLo35wB8JF8wb3GeeDhzW\n",
       "8P89gMvd7xvpHocZTclmcZgtpGSDYkI0M1JhwZSZ6ECbswlbMhC0cbUb2gi5Gz2vzdKy0Vj3RJAv\n",
       "Nfx/GfoQhtWoYN4BnI/e03EOczmwnXwO0z+cOc7pZcEJZk1ceZrFlYY6V3sMjeuR+2pHinkB9QVd\n",
       "oHlK9vekC2bHppUcDLwMrUxp+JV5QgXTbzsCrGhwY3ujlcgL5r2kOkxpFJxF6IT2Jg5TlqNCnXBc\n",
       "0ufm7fm/+9GTfwPpDnMb8AvgiJht/KIFniwp2YjDlH5UKK4isR9Tam4f3SKYa9A6ETIKcB7hgjkX\n",
       "vX6r0SxI4wjqPdBgBaWkZKUf5OnF7W8H0ZRslj7MkJTsFjQY9jWMDv91yhJnMLHednIu5u6oAMU5\n",
       "zL3QQHwNWgdSkBno/bY72QTzycCpDedxKXAh8FTdprYJag+hDej7iRfMq5ggmBLSFQYqkvcTO1p1\n",
       "x/6GQNIGFfk+TIhPy0amMu2gUaxnot0q64AHnKjCBMGUGnrOryTdHAQvmFG0YD4NvVninFKUGdSD\n",
       "zGdBnpmwbbQPE/SEron8/1DgUlQwN7vtxkBiWn/ybuB2kGg6ZRE7Tu6kinQKcAnJDYEzgW9F/p6F\n",
       "HtvdxAZn6UOvwXaSBbPRYboVjRrXOJUXgRxNfB/mAref20ge+DOkn68JlRdMGaP+cO2QlHlWh3kj\n",
       "eo02M3mJvEOAn1OvxzlSsnIoyLkx/zwB+J5bnahIAkbJygjQT/2eg+BRsjVhQlpWFqL3TlravEoO\n",
       "88fEC+Y+qFj+AdgzYHDSavRZtovRgSr3uJ9m/Zi+MbMJPZ9jTMyoLQN+gq4n/bL62zVhR9ybxHLg\n",
       "V0x0mOej3VuAvNzFjWbMRmPG/TS99rIc5G3AycCPUxqt0f7GuLjS2A0AkwVzGRrDbovsDyZ2BYyj\n",
       "onoj4Q6ziJSsNDtJTdKdUkPTVl9EA0n0f0c3qVRRh3ks8PqEQkRbXRvRFla0ZRcVzIfdzyHA1ZMX\n",
       "IpC9gFcCXwZOjfxjEdrf+CgTblSpoRXz/cDs5ucD0LmNTwbxN9k81OneS3xw9qMCBRXkg11r1H+3\n",
       "r3wNglnb5vYbqQgyBnzClTNulOxitPP+TuDpIB/R45N+kOjN5Psv/ecrLJjsjorlH0lNy8oIWuf/\n",
       "Qrhg3oGKyneZ4DBlIdp/dSHad5SSLZHdQC4E+Z+Gf5wBnByzIsnLUOE4OaCs0e9ak7IwQ2NKtlkf\n",
       "pnOXNYm8F5OS3eGAvMOEiWnZo1GxPSal4BUQTOkHVgEXuNdm7A1cjQrmfsANOvAsFi+Yt6Bp/VCH\n",
       "CdpPenDk/8vQRtquUGtsaD2MTv8YBvkOyKrIZ65kx4Idspfb53NcH+U/A2+v70ZeD/JC90eaw3wN\n",
       "OrXq1Wg9Oq75KZA+NP5EBbNZmr4xqwGTBXM5es81CmY0JetjXZanO6XWuZAl094Icgna6bsOeBXw\n",
       "TpCT0IswDRWbE1Cn9Ang+5GU6TFosPkvkL+nHogXUW+VXwjs5xzfXWh/4Wbgrajyz6Veia5D0yHH\n",
       "gdwB/AltbV2DLkruBXMQDaIfcDfBUcDpwF8D/462sL4I8kFXnqXuu+8E9gH5PdrCPta9noemNQ4B\n",
       "+bn7TA2tjHujJ/rTwPu1wrETGiTu1WOV44Hjgc9QFz/3LDeA2v1ayXkvyDvRFPAPQd5L3RlGWYe2\n",
       "bn2AeifwU3RgwV+hjhV3/kbd9VhNXTCfggZ8QW/S09w1XUe9/xI6Ng9T9kFb1nehqxttcmUBPe9L\n",
       "3Oux6HX+C7AXyI/dNs9Ag8IH0DoGcBB6M64HDgC5CV2C6wrUGR6DLjDub9h56HnfgF7/k116/n7g\n",
       "ufpebQuIF8yHgNe6Rtq33P62AT9C+7u+qd8nx6ErmAwCz3L/OwPkw+g9tB3NNhwP/B0a2P4zcuw0\n",
       "/B59b1fgIuD/QF7mzsM6d44GXBkPQO8bUIFb0mTA2QomB6770Hlt89HANIye/4+CvIEdKwgBeq3m\n",
       "gggaGz4OvA3kB+i9+kVX1rsjZRlBgxZ0RDBlDB2ncBMaY/Z31+RL6D0z4H4OAL6Nuhc/8ObdIL9D\n",
       "hecS4Ptup33otbwevd9PBL6DHuu+ru48iDb6BBWMh9H6/hA6F/HlIAcDn0TP+QaoRaeZOWrbQR4F\n",
       "Pkb9uvwDmhn5Btr4+y4qJv+KNtZOR4XnQJCvu2NzS3HKpe74vGCuQQe+LXTHsw2dg3wRWlc/CTwD\n",
       "5DLUnd+K3kO3ue3+RD3duhWd8bDVHffOaH1bDPy24cA2aDl2PC1nN7fPB9B7xfMo9Vh3itvmLmA1\n",
       "yAnoeANfP5ei4j4A3AK1x0E2oauoDU68pSJnuOm7dS5ChcYwLkadQju4CKt3htKuencRVueMOu2M\n",
       "d4ZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZh\n",
       "GIZhGIZhGEaB2OLrRii2+LrRCWzxdaMT5Kp3kr6JMUVoZ12wemd42lUXrM4ZUZrWh4AHSBuGYRhG\n",
       "LyPPBUnLuKbvpYiiGN2KRB/gaw7T6ATmMI02II+DjETfaLaVOUwjBpkDXNPpUhiGYZSL9KPjeYbT\n",
       "tjTBNOIYAWZ2uhDGVEPGG1r6hpGC7Adyags7GHSvJphGbgaAoU4XwphyvBV4TacLYXQVhwJntPB5\n",
       "H+empW040MKXGL3NIDCkHeE1698x2sUosLXThTC6ikFgtxY/D+YwuwnZp9MlaGAQzev3d7ogxpRi\n",
       "CMtsGNkYBHYGGUzdsjnBDtMEsxLIIHBFEcOaG/a7BGSnnB/2lc+Cl9FOBqnXPcMIYRBt2K9s4fNg\n",
       "DrNrGEKy583OAAAgAElEQVSvRdEp8jPI3x9kgml0AhNMIyu+vuRNy5pgdhn+QhUdKMbIL3gmmEYn\n",
       "cH3nhhGMNxp5BdMG/XQZ/oIVLZijpK8XHIevGxa8jHYyhDlMIxuDwH20wWGaYFaDMgXzsZyfNYdp\n",
       "dAJzmEZWBoF1wJycn/f1zVKyXUJZKdmRFvZpgml0AuvDNLIyCGym9VhnKdkuYajhtSjMYRrdhqVk\n",
       "jawMAg/T+ngNc5hdQlkOc7SFfZpgGjmRXVv4sKVkjay06jAtJdtllNmHaaNkjXbzK5B5OT9rKVkj\n",
       "KwMU4zBt4YIuoSzBbKUP00bJGnmZSUDwicEE08iKd5iWkp0iWErW6BHE90GmBp8YbGk8IytFpWTN\n",
       "YXYJZaZkTTCNdjLqXltp7ZvDNLJgDnMyMg6yuNOlKAl/ocoYJWt9mEY7McE02o0fJWuDfiI8H3hP\n",
       "pwtREiU4TKlh8zCN9jPmXvPWG0vJGlkpymH2VEp2xP30ImWkZKehy+LZoB+jnZjDNApEXgVyWMpG\n",
       "fpRsK+ZgGz3mMIfJP5Cg6pQx6McHLnOYRjtp1WGaYBpRXgqkPSu41YULhoCNmGB2DWU4zCJa+q18\n",
       "3piaFFHvrM4ZgAygYpkW94tYGm8TPZaS7WXBLMNhjqBpBnOYRjspog/THKYBsAYVsVDBNIcZoZcF\n",
       "syyH+UAL+zTB7HlkDGR2wTv1DjPvvWopWcNzgHstWzAH6UHB7OXRc2Usvj4KPEjrHeG9es4NeDXw\n",
       "toL32UJKVvwgNatzBsD+wEOECWarg342YinZrqGsQT+tOMxW12c0qs8cYLzgfbaSku2ntZHdRm+x\n",
       "B3AF6UIWcZhSy/E9lpLtMgpOycoeaOvsflpLU5hg9jYzgOkF77OVQT+DgOT8rNEVyPUZugF2AX5P\n",
       "etwfAB4FHkcbXVmxQT+K1ECeUEppimUYDRRFtaxPB95B632YrfQLGNWnDMFsxWEOAo/oay6nYFSf\n",
       "le4nBRkElgPXE5aS3QZsJV+9M4fpWAH8tISyFM0QreXgG5nufloVTHOYvc045TjMvPVmEHUK28nn\n",
       "FKYYUgN5eqdLEY70o/ViecDGK4A7CROyqGDmiXc9Oegnj2DuSnesDlSGYIJWgpqrqFkxwex9ZpD/\n",
       "MVxxjAEbyN/S34oNNgtlHDini9y4j0shgrkrcCOwhTDBfIz89cYG/Th2A/qdva8yw2gOvUjB/BOw\n",
       "jvxzMU0we5+y+jDz9p17p9DK/OGpxAjqxLvlXHnzEiKYuwA3oRmHkEE/rThMS8k6dnWvVXeZ3mEW\n",
       "JU7TgbOg9lHyBx8bJQuAfBVkQadLURJl9WG2Kph5A1+PIGMgacvBQT2uVT2+eXxdWxawrXeYjxKe\n",
       "km3FYW4K+J4pI5gxQUEWtVCeIhmiWIc5gg6eAHOYrXIUsLTThSiJsvowN5BvRLulZJXjgA8HbNdt\n",
       "gpnXYYaMkm110E9PjpLtc+sLhpLmMC8FCWntlE0ZKVkvmK10hG+md6fyhDJK9wSkrJTlMPP2YVpK\n",
       "VhmjPj0nCX/tQratAiNo6jNLH2ZWh5k31j0CSJq+VEgw5VSQAxI2CH7Ip9tfH9pK+QvxAW82Onm7\n",
       "05Qx6CfqMPMGL3OYGoy6JSBlQAbQ+yJQMGV3kB8EbFhEH+YUT8kG17luc5jTgRuApS4+xyB9wCrg\n",
       "ZlIH/fgBjbXt5HeYvt5tIeV+qJBg8kzg8IT/+5MWekIWoUvDrafpSZAa2pKbEVzC8ijTYVpKNjcy\n",
       "gB5/DwrmjvmSoaNkjwX2DNxvEQ5zCte7nhXMEbRuPAQkjQtYAjwAtU2kD/rxdQbyxzrfFbCJlHOZ\n",
       "QTBlCciHchQmlBkkL9M13PCaxhLgDlQ4mp2EaejxV0EwAxymHJZhtG+CYMqhICHrh9qgn1wBSd4K\n",
       "8vJSSlMsM4D7CE/JHkZdZGOQ5eg9dTetTysxh5mOv3YVEEwZBDkhZaPpaDfPOmBxwna7ov2XkJ6S\n",
       "9VNKoHWHuYmUOp7FYe4JlDlJdpzkwg6jIpBFMO9EL1CzoOArZE7BlL/Vn0IIGSX7H8BBgftLcph7\n",
       "A0cE7MMcZr2OZHGYOxO0kknHmQHcAwwHzuMLEEyeB5xDawsXWEo2u8OsQgZkT+CzKdv4wYh3ovE5\n",
       "jl3Q/ksIE0zvMFsZr+EdZmGCuYBy3ViIYMasXC/LQf6p4c3F6IWJc5j+u/IuPr2U4kZPhqRkZ6B9\n",
       "riE0DvqJBq+ZhF1HE8x8ASktU1IVZqBdFluJTXlJP8hSkHnAQnRx66RBES8AvkbrLX1LyXZfSjak\n",
       "3o8Q7jBDBdOPkIX89WaIusNMPIYqCeYMcgsma4C/bnjPC2acw/TflfeYZrTw2UZCppXMIHWAkjwV\n",
       "5CCSHeZMwgK6rSVbD1pZAlKR9aJMxtH76RHi07JHAWejT72/Cq2jMYFc+tDsxS9obXi/pWT1HA8E\n",
       "dMFEUrIdXzM7pN77uHQnyYK5inpKNm2ln0aHWZmU7AJgNOcyayGMExvIpY/kyaUzmey+0hxmiynZ\n",
       "QgPjMIl9mFIjSDB5FnA86hjiBDO03OYw86Vku0UwZ6CCmTQycC66WpZPkSUFlHFgM9Qeo/XAZSnZ\n",
       "ia9x+Lg2E/gtSCdTs+NoBiJJ3KIOMykluwDtB4f2D/opTDDnu9e0foy8JKVk/QHFtTaSBLMXHOYo\n",
       "+pzANMGchY4O3gq1x917rTjMqS6YeVKyoee303jBfIT4gDQTrXMHoi3+pIAyE13sH/RezTN/11Ky\n",
       "SlbBXEZYfCgTHwuT6r4f9JPmMGdRr0suJRvbz15phwmltJ53zAmLK+wweuLi8tkz9X2JCmNoH2aJ\n",
       "gikLQJ4VsK+0UbL+e1yjINblz0KP+5HIe3n7MG2UbKaUrPwVyGpS64XkXQy/aGagk8iTUrKz3OuJ\n",
       "pAvmLLRPFPQ+tYUL8hPaUBtB71G/+EoVBDMptoQO+okIZm07+pzLuL7zBIcpc0CenVjq+j5KGfQD\n",
       "ycHgkAz7izLW8NpIiGDCRJeZNkp2DB2OXKbDPBwIGUmbkpLd8T1zXHr6NxqgJ9FMMJs5zOGA/hHv\n",
       "MKfySj9ZUrKvA04hvV6cDPxXi+VKQUKePO8FLkQwd0IFcyPhDrOVPsy8n28zsndJTwoJrXfTgXup\n",
       "hmCON7w2I3TQT9RhQvLAn6RpJYcBZyV8jyc66KdQwVxPbDCQYXSpuTwXzZ/kpJRsoGBKDWRXV967\n",
       "0AsU14d5J60JZlrqbS4wL3kTqVFPycYFiYhgcipwAPq8uEZCBRPSyz6IztMb66wjktUgs9K3KwU/\n",
       "0TpEMFeg3RZp9WIlYQsAtMK30fVIk1iI9hMlCeZMtF5C3WHGHVvUYRYxSrbiDlP6gJ8Da0vY+Sja\n",
       "OEmodzITrZ9VEcwQh+kH/dwFLGy+2o/0UR+Q5kkSzMZRstF6s4jU+AuUmJK9ifgT4vs4d8uwT884\n",
       "2qKIuxmH0ZswLtUTdZjPRpdfegBqW0lOya6jXIc5DxXNJAbQlMMW4oPEOHocc1AncyP18x0li2Cm\n",
       "lX3QlelBOnsjfgm9pp1gFG0khoyS3QkVzQGSz+0CYFXJzzD0ZUliIRq40hzm5ei9tIH0PswEwZTF\n",
       "AcfcRYLJWvSYy3iSzSg6RzZuRPJi4I/UBdNPb8twn8r05OXpMhOakt0MtUdRQWwmZmPUB495thDf\n",
       "z57Uh7lQvyO13hU96EdG0eeuJQmMrzh5BHMG6vbSUrJxgwm8CMwH/gldYOFJ7r2klOyd5BqgIX3u\n",
       "8+MpF2Me6nqT5q65CpIYJGaga+LOAfYCzmNSZZM+9DxEn1QCkwdQzERFIMRhbkNv3Gbi3AZkHnAo\n",
       "yembMkkJXB6ZhrZmd0Ud6VhCvVig/y/1nC4gPZCHOMxZwCXAH9zfaX2YSSnZ89AUWRI+NdYNKVl/\n",
       "LB0QTHZB74lZqGD6DFCWhu1XKHYhmnFgO2GDfmDSwB95sctONqZjIT0lG7dwwSJUaNMavH4fSV0O\n",
       "QLjDnI9ewAeJPyG+4uweuM8o42hrN67VE9KHeTdwArAFaudC7Qr3v4jDlGgqrJWU7Ch64R8hOZh6\n",
       "UUuqyCuAWwkTzJWAoK3LxoA7Rv16Ng76aZxWcjthDnMbKq4dEkxOdK+degzbCHr8aSlZnxLbBRXM\n",
       "LQmf8ffJqpZL1xTpI0wwF6H3TNK0klnAj9CpStCSw2Rn0p9S4QdfdIPDPBS9z8oSzKTMhs8e7IwK\n",
       "JtQzUKGscp8vihmkZ+yijfnGgT/vRBshrQhmoznwcSMhyyd91NO6hS1csAAVzIdIdpiPkj8l6wcg\n",
       "NKskIYJ5C3AwcE3D/5zDlBHgapf7h9SUrOzinEMz/JD8pPMB9QuVlEdfgYphiGAOomK5vsk+fWsT\n",
       "YlOyO47nXtIdpq9E6yknKIRwInABpTpMWZPwz5TAJe8HOQlNgf4FrYdp9WIh2mApSTCZjTqOLA4z\n",
       "aVrJA1Dz9SlGMGWYRIcp425faStjdUlKVg5A6+b5FH5vSI30htpO7nUl9Xv+JrIJZpErlYHW9zsI\n",
       "SskCEwb+SA1tdC6ndYfZmJKF5Pi7EFgPNaHAPsyd0YCwkWTB/B35HKYf4r6R5oE8VDD3Rfsvo3gR\n",
       "Xoke70r3/hjqauPSql8EnpFQ3hDBnIdezKR+TB9s0wTzPvT8/BG9SRpd3yz0eB4lvg/Tu4CHSBRM\n",
       "6QfEzeXspMNcC/yYRMGUQ0H+X77nmspatBEVlzJPS40dD7wZvYa/c+89xIT7RJ4D8pbIZxYAl6Ju\n",
       "tAx8AF8Yv4n4oLCJ9JRsNHg1CSjiG57ziZ9W4p1l0lQCmLhwQUVTslIDfgK8j0yCKS8CORpkX1fv\n",
       "4piOnr+kQT9eMAeoC+aNBAumDKL1o2jBvJ30lGzUYfr7ehYao5cRLJjSF1nQJmnQzzqSBdPHXyhQ\n",
       "MP3Tr9Mc5i+B3XIMaPCjouIKHCqYA8CfGv7n+zB9+mGlex1FL0wkfSbHOCcKsJp48c8imDeSfsFu\n",
       "JXl1E/99G0h2mA+4nzTBTGr4wMSh2p0UzFVonUpKyf4tusLRB3Ls/6nosa6M+X9aS38Vmpo7Ce3n\n",
       "e4R6vfCB42gmjlhth2CmPT7JpWNrwiTBlL7IPRAd+QrN78/d0EB9ABNTstH71KcQ0wSzG5bGW4Iu\n",
       "DPJvZOvffwE6peiN7ieOUXQ618MkC+ad7vf73OsNhDvMhehCB2nXIwvjZHeY/vt9YzfOYTZbsOZM\n",
       "4J9JnlayELiWDgimX9svTTCvRy90yBO1o4yjQbxVwYR4h+kF07+Oue9zxyQ14KvAk0BmoCc7Lr2c\n",
       "RTCvJ+yCJa1u0iiYcQ6zmWBGK1Ggw5zQauvQoB+ZhZb7GmBR80aYjKL91mei65im7XMeyBd0QQlA\n",
       "BXMz8dc5ISUrs9Dz9BbgEOBqt21jvViNrnWMW1hjGG0E7OfeWwByhvt9DOQV6ceRiA8SSYLp07Ew\n",
       "2WE+D/iGyzKMMnF4f7P7c7V73ZN6oHN1ecc1Ww78mTDB3IbGkKouL7gGuM79fg/hKdk90YzJHmgj\n",
       "K45QwbzU/e4dZhbBXIpeq3anZOMG/SxDY3uSw2zsNjjE/cRMK5Hp7vtCDEspDvNmkgOtHxh0GRCw\n",
       "ELCcDXKtTv7dIQg5BFOmoa0l3+JqFMyow7yLiYL5MHpCD0Nv6iWu7LuiI752A3lew2AhSBVMWeFW\n",
       "+Bkn/II1aVXvmH/oHfgZwP+hwjmrYX5kqMNsSBk2JSqYnXKYLqtR24y2MJs9qeXJwK/RBb93TxmN\n",
       "DOr0ngZc6PqyDwS+RXwmwWch0MUAJuCeCF/7PNRWQO071Pv5o+d3DbDS1dPoPbLKjQp8GvAhl146\n",
       "FvhUQt95CAtQtzsvYdpAkmA+0f3M1OPYscQiNL8/d0enRfWxw2HWHkdb/f56rEADfFqAXoM2zK8k\n",
       "KIZ0hNUkCmbTuYXj6DlY635Wu/ea4VfviRFMqbl9/dq9kSElK18B2Q+9Dpfpq9TcCNUnTvyOpCkn\n",
       "0gcyd+L2Oxxm2sIFzVKyy9AujSx9mPugXXBxfZi+jq8nrEsMSkjJpvVh+mBwCMh3QWJSaTKCTvu4\n",
       "CHgpdYeZpw/Tu6b79ftrjSc76jAvZGIf5ibgI8A70CCxEb1Rd0OH0+8OfBB4V8M+0xzma9A+UFem\n",
       "PH2YMgLcgq6e5L6vdiXUtrk5So3zI7OkZLM4zE4JZvSJBXfSPC17KnA21B5GUzy7puzzcPR6z0Ln\n",
       "s/4CDc5xDjMpePlGZJT1aB1y51fGUaG/0ZXN3SO1bWj9+ivgSLR+rHF/DwHPAfldE5EOYQHal7SR\n",
       "+MfB+TmYoI2RqIM+2JVnPyamY6H5KMLV7lhgYqCLBq/lqGAuie+ukX70HvwFKgYHFTxPsCjWoFkj\n",
       "aO4wLwB5asN7e6CZkmXovXk52lhrRprDnIc2RnzXU4BgypD2nXIaOqd5ifv8VvReOAuNWZ4Po+nO\n",
       "ON6IxlLPCBqb7yd+EKWfitcsJevrxzK0zqYIpoy6bR9H43mzPsxFaB2/l6aGRWo6/qFwwZRhtFLc\n",
       "RnpK9h60pfBKdJmw090+GvsjjkQD1RfQtNhq9MDiChxd6ecZIF9yBzxCXQR+jwbDRvxKPzsDP6Xu\n",
       "MEfd952Lnvj3AV9GBXN3NG3Wj56jJ7nOen++GgRTpoOsivz/FPfZe2l6wbwTklloBbmTyQ7zZDQ4\n",
       "vTDyfVEa+zFDBPNgNHUd0/CREZAnuTJtjXxPpxymF6S7mDTwR6ahfYffdW9cS/oKOoej1/VHwNuB\n",
       "H6IZiSSHuZnmq0VFBd3TmJJdjQamP6CB1t8joI3FY9CHeV/mXo8ErgA+itbDuEFnDtkX5EYmLpPo\n",
       "v8MFc+l398rCiKvZCw1YoPfrSc41DKPn8Hw01d0YuOIc5rnu96jARgVzhTsH22le7/rRlPpdUFuv\n",
       "P2ygnu5tE/5pHzKMrgvcjGhK9gF0zq07TlmDZgle2fCZPdHHo92InodfodkRQJ4O8trItlHBbDY6\n",
       "+/no9fENnvvQGLMO6J9sUmRXNHafjw6gezLqMO9wP3+F3ltPBnk7yHuAlwNnNInbuNj1RmBnkL3c\n",
       "mzEGQhaD/ABkNjqq+Ho09sCORvCOEbLXofF9FekOc0+3/RVow6OZw3wmep4b4q8sAvkoem/9Co0J\n",
       "XjAfJnkOdeyCtlGeC9ymrkbuBw4DuRNtldyDBuMBdgzP5TI0eH8eeAXIPcC/gHyZ+o11GnrxrtQC\n",
       "shz4H9R1Psv16dwFfB0Vs32pC+YKtFL+xv3+CeBBqN2Htowa8c/wW40K5sdBXo22QB7U9JE8Fw0c\n",
       "X0f7cJ4C/Aca7C5xZfkR8HuQjwD7o6140MB2OloJ7wb5GCrin0Vz7Pfqd8tHUCG9GHg2yJnue77g\n",
       "yiBohT8VbTWdgg5keRkqgL6iee4FTgTxaa690VZasz7MfUCepteDfdDnHK4GeQb1QRYCvAG9oW5F\n",
       "rx90buGCJ6KT3UHP9YvczTrofvYFroSaTy1eCzwFxAfto1CX9GX0RuhDg91laIB4mdt/H7Cnpt45\n",
       "AW05b3DfsYB68PolyLfQwAN6o/1vQ5nPRq/LU1AxX4QGiZtRN7xL5PPn6D7pAz6EDlzaC71GX0Ov\n",
       "/YdB3gt8zO1jhjsvv0UbU+93+/k0yN+j98qe6FSce9w+T0MbBQfoe/JB1GXs68pxMVq3Pox2bdxA\n",
       "PfPjz61nkx6THB95bzXwfTQT0yiYx7sAvgYVjHXAM0FuRxuU+7t9vha9Z34Y+fyl6P3TTj4AchPw\n",
       "NnQq2vupj34GjVX7scNh1h4HWY824jegYvZZ4HmuS2Yzel89Gz3PI6hQ/CtwOcjv0caRgDyMOrRD\n",
       "qNe5/UDeR/0Zo6D36GloTNqiq5nJMl2kXP4V+BzIJ9y2C9Dr8l40dn4PjWlHoGblDnSU99loHDvT\n",
       "leFctK6+HuQatCtoKVpPn4k2ur+l28u5aOzxmZVFIG/Sc8B2NLZ/Br3nPukGmgG1Le6YX4TWxW+h\n",
       "wn4guqhClC1oxuFR1F0fTX3MwEvQewB3jpaDPBkVfd+9djjId9D4/mp3DV+N6sEx7BDM2mMgW4kf\n",
       "NU7aaNaL0MBjGBejFbUdXITVO0NpV727CKtzRp12xjvDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzD\n",
       "MAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDCMXWkjVCsbVkjU5ga8kanSBXvZPiy2F0\n",
       "Ke2sC1bvuha5CSTp4eSZd1jgvqrwPUY1n3PaSNP60A0FNwyje1hM84d9G4bnWpCYh11XGxPMnkWe\n",
       "D/KiTpfCmHL454gaRhwLmfwg8q7ABLN32RM4tNOFMKYSUkMfJm+CaSQx4H66DhPM3mUAmN/pQhhT\n",
       "in73aoJpJDHofroOE8zeZRATTKO9eNdg9c5IwhymUTlMMI12412DOUwjBqmh9cQE06gUlpI12o0P\n",
       "giaYRhxecywla1SKQWBel8x5MnoDE0wjDS+U5jCNSjGADsKY1emClI8cBPKMTpfCsJSskYoXSnOY\n",
       "RqXwFXIqpGWfCDyl04UwGAAexQTTiMccplFJptKIxa4dpt5jDAJ3A7NAujIgGqVjDtOoJFPJYQ7R\n",
       "pTdgjzEAbAEeBGZ3uCxGNTGHaVSSQWA9U0MwzWFWgwHgMTQtO9ThshjVxBymUUkGgDuZGoJpDrMa\n",
       "DKKCuQ27HkZzKuow5S1ujmgiJpi9yyBwL1NilCyDmKOpAgOoWG7FrofRnAo6TKkBHwGmpW1pgtm7\n",
       "DAAPU6mKWRqWks2F9BU8T9c7zK3Y9TCaM9DwWgX6gRoBjTwTzN5lENjM1GjpW0o2H68B3lXg/rzD\n",
       "3MbUqHdGdgYbXqvAUMNrLFVSeaNYzGEaacyn2JS9OUwjjSo6zGDBNIfZu0w1hzkVjrNoRoHhAvfn\n",
       "R8mawzTi6GqHaYLZuwyiDnMqBC5zmPkYodj6ER30k/N6yKEg+xdYJqNaVNFhBot4lQptFMsAU8th\n",
       "mmBmZ4RiY0B0WkneevdsdPGDK4oqlFEpzGEalWQqpWTNYeZjlMT6IYMgu2bYXwEOkyFgYc7PGtWn\n",
       "ig7TBNPYMehnKgim9WHmIy0lewTwhQz7K8JhDmOLt/cy5jCNSlKQw5TdiyhMyZjDzEeaYE4HxjLs\n",
       "rwiHaYLZ25jDNCpJAdNKZBfgtwWVp0ysDzMfaaNkh1FRDaWIUbLDWEq2l+lqh1kllTeKpQiHeRjZ\n",
       "AmanMIeZjxF0ofQ4ppHt+vuU7Hby17shzGH2MlV0mMEibg6zdyliWslhwABIfzFFKg3rw8xHWko2\n",
       "j8P0K/20kpIdARnN+Xmj2lRx8XVLyRqFTCs5zL0WObm9DMxh5iNllGxmwYyu9NNKShYsLdurVHDx\n",
       "dRNMo+WUrIwAq1GXWnXBtD7MfAQ6zPTHHjmKcJi+PJaW7U3MYRpVQ2q07jDnAPcDGwl47E2HGQT6\n",
       "uiB1XCGkRpjDhPDrX5TDvBcTzF7FDwyrUgPXBHOK0w88jq6YkjdwTQceQQeFdIPDhGrdhFVnGH2k\n",
       "UdooWdC6EEJ0lGwrfZi3YYLZqwyicalKDrMXB/3IESCnd7oU5RCc8gqliPlwXjC30B0OM/pqpOP7\n",
       "JkMcZmg/ZhEPkB4Gbsf6MHuVATSuBNyrsgCkHbGnJx3mAcAxnS5E8cg04NaCd1pEaswcZm8zil7f\n",
       "IgUzutJPK32Y95JtwQSjexhE612Iw/wY8NxyiwP0qGCO0B1zArMyA1gGUvQi2K0+yHc66i67xWE+\n",
       "iglmFkaAB0iuH9Mi24ZQlMO8n/A0sNFdZHCYzACWl1scwASzqxhteC2C6GjFoZwp325KyQ4xddbN\n",
       "LYoRVJiq5jCHUSHvxXvdyOYwR4Al5RYH6FHBnE5vtjrHGl6LwAWu2nZ01ZU87rWbUrJ+kQZzmOGM\n",
       "osI0mNCg6kQf5pArVy/e60Y2hzmKCWZuAh2mDIE8p/TSFEeZDhPyB68ucZjSj4723IIJZhZG0EZG\n",
       "Uto+j2CawzSSqKLDHCRwgGQ3CWaow9wN+EjJZSkSL5QlOEygdcGsusOM9teaYIYzgs7TTaofw2g9\n",
       "ypqSzVnnxE9zMcHsXbI4zBFgabnFAbSubmJqOkzG6K4RdmUJZtRh5hGSLnGYDKHH2EoaMAE5G2RR\n",
       "8fvtOKOow0wTzA1kT8nmbbwMol0Im7CUbK+S1WEuasOCJD0rmCE3UbcJpi9r0SlZ7zDzjpQ1h6kc\n",
       "Sntaue3GO8xHSRbM+2mbw2TIlWdzhu80uousDnMb5S9iETxosJsEczrhDnNQ+zI7jdQCWkcZHWbQ\n",
       "9JNGh9nDfZg7HGZZgjnuflKQXUHml/D9ZTFKekp2GtnSo606zGHqgmkOszfJ6jBvpvx+zJ4UzCwp\n",
       "2ehrJzkc+J+UbTIIpvQDV4A8OWXDIgf9TGGHKTX0uoyDPAskSTjfDryg2O8vlWhKNu76ttthesF8\n",
       "JMN3Gt1FoMOUAbftnyk/w9OzKdlhkLQyV0kwl5DeOsoySvbpwBrghSnbFTnop1scZivLAMYxio7A\n",
       "HQfeC+yXsO1MdKJ1t7AIuJv0PswsgtnqKFl/Lc1h9i6hDnM6Wg/upPxlEgdRwey5UbLR1ziqJJgz\n",
       "3U8SgeWVGcA/Am8GTgZJcn1FO8wqC2YRqxrF4R3lGOnXMuRaV4ml6JqtIYI5F+S4gH22Og+zyxym\n",
       "vB+km655FQhwmPICYE9UMB8AZpVcpp51mBAumFV4YntIEB0F7iNd4L8A/Az4NHA98MSEbYt2mFVO\n",
       "yWbsw5RBkFMC9z0eeZ1FbwnmMuAOwgb9PAP4r4B9trrST7QPswsEk5cBqzpdiC4jxGG+AjiOumCW\n",
       "fV/1ZB+mX9s07UYqY5pGXmaQnqYbRVNjaQJ/APAxqAnwF5LTFEVOK+kmhxlynKuBzwXu29eh2ej1\n",
       "SWrphlzrKhHqMDegz0ZdDLI4ZZ9FOEyfXu8veH3lgpEaWi9md7okXUZIH+ZstEG3GXiQ3naY8qaA\n",
       "fsY8jKBOLE0wq5aSHU5Jn3rBTCvvHDR4QT2IxVHktJJucZihDYO5wJzA9XW9w/SDDnrEYcogMB+4\n",
       "i4KfRjsAAByvSURBVLCULMBDaKMtiVYdpptWUhO07lW5H3MMvc+S7kNjMiEO0wvmw7QvJdsJhylz\n",
       "gX8B5hW83xp682yg+/owo6/NGCNVMKUfDd4PujfSBHMqTSvJ2oc5F71ZA6aK7NhmmXtNunG7SDBZ\n",
       "BKyHmh/RmjZKdjuakk0TzKL6MKH6A39mN7waYXiHmSSYc5joMMu+rzo26GeNey16PppP1WwkzGFu\n",
       "IJdgyrtAihzCHCKYISnZ2cCDbjF1CHOYPTKtRHZNGViRNSU7t+E1iXFAqAtmTDlkED1f3ZKS9elY\n",
       "SJ+HeRtwKdp//oSU/bY6SjYqmFUf+GOCmQ/vMGPqhwyisdsLZk8P+lnrXgNXZpBVICE3xQh6kkPS\n",
       "NGNoqimPwzyN5KkDWckimEnljaZjcb8nBfxemlbyEeDZCf/PunCBP28hqbRx4B7qz+SLu3G9UFbE\n",
       "Ycq8lAUz/IAfiB304/sPa5cBRwJXoyMXkyhipZ+t7veqD/ypgGDKNJCLcj6+r1OkOUx/j80jk2DK\n",
       "2oD56XF0bNBPRsHk39AReGn4ZbxCbqJIijNLRZIaYfMmszATdcWtCuZctP/Wcx+5HaYcAfLOhM96\n",
       "KuIwWUbyxGXvMLP0YUZfkxgH1qHXaCswE2Q/DVQTmIk2YioimHwDeErC/0McZsTt1cRtvzTlnmp4\n",
       "DmtmLCWbjWXAUZTvwIokxWFOiGtZUrKfAl6fs0wddZi3Ey6YO7mfNPwk1pg0jdRA/KhR7zBXATcG\n",
       "lgP0okwH0kYCZmEmcCthfZhJKdlmDjOtDzPqMKOV8xggpCVWFYeZJphRhxnahxl9TcILJtSv4+fZ\n",
       "cf5ktVv9Z4bbbqQNC0WHsArYOeH/K9BUKwQJJkBtE3qOmwTnHSIadZhTISX7CJ0VTH9fLEvcqlqk\n",
       "OczZqMmAYIcpRwCHUM8EZaWjgnkxQX2YUkNv3JCD9CnZuFbn0cC1Lr3rBfNAYJWmp4LwQlm0w0wT\n",
       "zDwOM8ugn0Yh2RNYmfBZTwWmlcgQOn1mKcio699oJE8f5p1kF8y/oDduVIw+CbwWvb73ozddyGCi\n",
       "CLInSMgcx2af/cDk/l3pQ++pFQkfXIUuOQbJgrml4b11TGq8yD7ATe7aJDhMWR4wer4xJVtlhzkH\n",
       "Xee0k6NkvVB208MBBtGY0hdTH2ZTNzqbUfEcTWmIHg18k9YEs+iUrNSSB1/IDNRZ/powhzkXvSGS\n",
       "bmyPd5hxKdk90Jz3y6kLph+AtDpg/1AXyoIcptQoTjADHaacDnICE6eVNAbEPYAlAYvTV2FayZLI\n",
       "6yeBVzXZJmsf5hzgBsIC3RgqrqCCuQy9ob1g7g48C3WYD5JvRN+hwFOy90PJPOCtaMMwykL0PCTd\n",
       "VzujwR7iR8k2OExA+z0jDUrpA77svmtnkh3mT9DAlkS3OcybKdVhyhjIUXqvymFNNljW8NoNRBtV\n",
       "zVzmHOAm9/tmqD2OimbSgLrdgF8B0/ScZaaUUbJHukLFcSBwJdoKDRHMndAbK0QwfR9m3KCf1cB3\n",
       "0IDqBXMg8r8QlqAtm6Ic5jR0hOU9xI+u7EeDxHpgBshrJgZOiQ5QaSKYk4LsacAziZ1WIgNo5VpP\n",
       "YmtsxzSeTi9csIz64ssH0HyUZp4+zD+Rz2H6m3FnkOno9Iydgb3ReYoPAfvFj7SWAZBGoV6DXt+s\n",
       "U7GOcq97Nby/AhWthvtKngKyv7u2q6gLZtxKP3GCGT22NajrPt/97hpqte1A5Ek9Mg+td/umHFNj\n",
       "H2YFBHPS9fLMRgN7mSnZp6ErfB0HnNPkfl+Gpiy7STB9o+oxmt+vs9GYuQmtA5Celt0NbQTfTr5z\n",
       "Ucqgn+OAtZEg3sghqLtcT5hgrgB+AywH2R0kqeJFU7Kn6BqOE1iNzhNbRl2AQJeQCxXMxcBl7BDM\n",
       "xnSBzIxJCcYxk3TXMQN4GGpbgJcC70JdC07c/gSyL5NSsrWtqPOLtKakj7qoxA362QUVgOtI7jse\n",
       "BB538/Q66TCXAZejN8sewD5NtsnTh3kDTQVzUgZlHG18gZ637cAtqODsgorOD4AXU7/WnwLeDnIy\n",
       "SOPo3jejA3KirEUbVmsnvi2zQX4AcmTMcRyDBuxmgnk5O66vPA1kN+Bt6JJjc/U4ag+47QP7MIHJ\n",
       "gnkgeg//kbpgNlth6hD3unfMsTT7zgqkZGU1sC4ms5ZRMKU/x2jWg9B6diLaOGtsiC1DY26Bgim1\n",
       "kkfdpjnM2agh2MBEwUzK3HjBvI18adlS+jCPdjs9JOb/XjDvIWwe5grgKvSm+j7wsYRto4N+jgBe\n",
       "1bBs1mrgD+jN+zD1TuPzSBXMHY9sWgJcoWWXfuBHIKdGNvw28O60g4oQIphHuzIDta/qd3Ks+98h\n",
       "qPN4CpMdJkxOy+6CBpu90PPVLCW7L3qebiFZML27hM47zFvRlLVLs09aLm0mWsaAlKzUiE3JyhL9\n",
       "Dtk18uY46ho3oTftA8CFaB/wGtSp/q/73V/rZcDxwJnApxqmTT0TOMq5U89a4JdMEkxORRtx35/c\n",
       "Dy819x2fYrIIrUDvw7luNO+/Au9A69PRTEzHQrxgTiNMMH+LNsDWMHGwWbQBcyjwfzRv8ESJ9mF2\n",
       "MCUri0A+gmZshtHGSSOz0ftoRkDfLGgG7G0ZC3IQGs9OR8/HwQ3/X4bOkXWCKSMg14E8NeP3RHk/\n",
       "+pCHGOQJIC8P312060dqpDvMOeh4gPuoC2bD8niyQPvEAWQWWlfvohDBTG4sBAqmTEedyxfRyt/4\n",
       "/1H3vhfMiMOUfnRBgMYAvQJNc92KVr6TdS4NgLwP5O2RbaPTSkAD1+GRsi1CK++v0APf5LY7D3XF\n",
       "DSdBaurc5PnA3SDPRAXzL27fR6PC9XqdgiGvQRc7Py3+5pD9QaI3VoxgSk0vOKABNPq8zAupC+aJ\n",
       "aIr7JCYP+oHJczEPBH6BVpq9ae4w/wY42x3nyoYyDbqBGWe58nrB7KTDXI6mWe5AA8PtTGgASR8a\n",
       "1L7HJMGUU0D+u2GwwAz0eO4E9gW5lPpDn1+M3g8viWw/jja+NlK/lldTb7j9CRUCoZ6SvQltMD4B\n",
       "+B0qnGgQZq37/BHuvelovfuh/k+GQA5y3/0C4J/c/xof53Yc8Djwn8CeDXVyBZrGXoem9MbdsV2N\n",
       "CvBhNBVM2Qfk6ZH3QxzmQe4YvWA2OswZIOegzvYLwB7umpzkjn+goewVcJgyhA4geREqcN8BntRk\n",
       "w9nAvaigpSxYIUejXVqvZtLgFRlBx380fqYfnRP+dfR+/Bp6vqN4wdwN5KNol9Rm4EsajwBkoTvn\n",
       "aYtOuLLwCuA1NH0YuixE49VHXX2O2884yKtADgXWg6wBWYnGnXmkO8z7mewwnWBKDc3S/BHkDD12\n",
       "bnRTnxoEU54G8hOSlyYFjY+PoPdx4ij3gMWN5aNokLoUuAD4IMjWyAbzgecCP0ZPiHvornwOFc81\n",
       "aPB4PsjX3Gf6UCF4LyqYPwZ+r/uXb6NCMuRSIZvQinInegIvB84F3unSVXOBmzV9KJcAz6Oe//65\n",
       "OxHfALnWffdMdKDG4+hFeRfwCfQCfhoNNB8DPooG4yVooPkPtN/oX0Hujhx/zR3jCYCAfAUNnKuo\n",
       "B9l9Qb6JBqtbgUNAvogGtLMi+/op8HEVaZ4PvEnLziaaO8w3gvzZHctJqFN/FBXbq9x2W/V/8kE0\n",
       "3ft1NBj8I8ix7jsPRoP4enc8bwLOcZ/v0LQS+TTqsl6CBuqr0XpzlraiWYvefI+gI7N3B05w5/UW\n",
       "4HXotfxPkD+6nc5HGx73odf1VuA7IBegT554E/APID5or2CiYD6AitHNwF8D74XafSC/oX6tL3Dl\n",
       "6gPeAvzKZTEOQYX9ZuDDIDe68t0MXIPWtQOBA0AuQlPQ57l9fo6JD6/+a+BDUNsAsgF1sr6v9Vjg\n",
       "Pe7Y3o02cp+ENsbuBN5A/dqC1o+jUBdTA3k9Gpyuo7lg7k99Hu8+aFZmmOaZja+idervge8C/4xe\n",
       "py+BfAFtwN0Gss1tNxOtw9CRPkx5H3ou1qH331u1rJwXOb+eVdQD+ztBHkCP/1loLLvCbTcNPc4z\n",
       "gH8AfuDih2+0nI7Gy89SP99HoN0r69AG2dNQofp3kP3QjMtyNPZd5spyCpplOhm9ft8E+R5ary4G\n",
       "zgb5fMoJ8INn/gL8EOR8VEy8wJ2mZWAhel/9Gr3O0rCfk9EM1iw0vnzdff4mV27vMN/jjuc6tF5c\n",
       "h8ai76L3kb9vHwBeBLIXasYWo5rwE1QPbnDb3abnWQ5HTUM/er9e4cT+S2i3yiq37TS03vlj3Ire\n",
       "/x/UMDiZtFz1RdQHFxhTm4tJH+VYFBdh9c5Q2lXvLsLqnFGnnfHOMAzDMAzDMAzDMAzDMAzDMAzD\n",
       "MAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMEKxtWSNUGwtWaMT2FqyRifI\n",
       "Ve8aV6E3SkFqDY8zqyLtrAtW79qCnAXyL50uRQrtqgtW54woTetDlgdIG+UxCLxv8nM7DaNUBgh6\n",
       "xJ9hGGCCWRUGGl4Nox2YYBpGBkwwq8Fgw6thtINBrM4ZRjAmmNXAHKbRCcxhGkYGTDCrgW/lW/Ay\n",
       "2skA5jCNtiJngPR3uhR5McGsBl4oLXgZ7WQQa6QZ7eXjwJxOFyIvJpjVoKIpWRnqdAmMUrGUrNFu\n",
       "urrf3ASzGlRw0I/MAv7Y6VIYpdLVwcvoSrq6G8AEsxpU0WGOAfM6XQijVCroMOVkkGM7XQqjDKSG\n",
       "CaZRABV0mOY+pgAVFEyOAZ7Y6UIYpVDiWA05EuTM4vc7ERPMalBFh2mC2ftU8RpXsUxGMZQ5G+BA\n",
       "91MqJpjVoKoOc8CW6+tpqugwTTB7lzLj3AKg9EGKJpjVoKoOE6pVJqNYqtifZILZu5QpmAtL2u8E\n",
       "TDCrQRXFqYqu1yiWKs7DHKINTsHoCGU7TBPMKUIVFy4wwex9LCVrtJOyHWaLDS25EmRa0hYmmNXA\n",
       "HKbRCSwla7STMo1Biw5T+oB9gZGkrUwwq0EVHeZQw6vRe1QxJWuC2buU1AiXGq33YXqhTNyHCWY1\n",
       "MIdpdIIqpmStD7N3KSumjAPDtFZvRt1r4j5MMKtBFR2mCWbvU0U3V8UyGcVQVkxZWMB+x9yrCWYX\n",
       "YA7T6ARVdJgmmL1LWTFlAfBAi/s1wewizGEancAE02gnZTrM22gtJWuC2UVUeeECC169SxXFyfow\n",
       "e5eyYsoc4O4W92uC2UVYStboBOYwjXZSVkyZBjyEOcwpg6VkjU5g8zCNdlJWnJsGbGxxvyaYXYQ5\n",
       "TKMT2DxMo52UFeeGgU2YYE4ZzGEanWAA6K/YE2msD7N3KSumeMG0eZhThCo6TFvpp/ep6mAza6T1\n",
       "JmUKpqVkpxDmMI1OUMWGmglm71KmYG4G+kD6c+7DBLOLqGrgir4avccA8BjVq3dW53qTMgXzUWBr\n",
       "C/s2wewiBtALXqVAYYLZ+wwAj1Cta2x9mL1L2YK5rYV9j6Eu1QSzCxhEA1fVWvrRV6OnkBrQjwaa\n",
       "qtU7q3O9SdUd5v2YYHYFVWzpm2D2Nj4d20qrvGCkRjXnhhrFMABspxzB3ILW5bzZiTFgA/Z4r64g\n",
       "g8OUY0HGyy4QJpi9ziAqmFXqw6zi4DejOAbRtGcVU7KjqGCaw+wCBtAWUkjg+ifgxHKLA9RF3IJX\n",
       "bzKABphtVEcwh4DHsT7MXqVswWw1JWuC2SVkEacRYG25xQHKq9xGNfAp2ceozjWO1LlKLabQZmQn\n",
       "kBd1uhQl0A6H2WpK1gSzC/B9mCEt/XYJ5hDwMNba71WqmJIdRAPf4+iApKnKgcDp8f+W2SBXtKsw\n",
       "YcgwyCkpG1U5JWuDfrqIrA5zTbnFAbQsD1Md92EUSxVTsoNoWq2V1FovMEp9qbZmLAH2qpgLXwt8\n",
       "LGUbS8kahZDVYa4BKfvaWUq2t6liSnaIuohP5cxGmmDORa/fWMI27SatzFDZlKwMoRmN1PVoTTCr\n",
       "QZZpJaOo81tRaolMMHudqqZkvWBO5XoXIpigD06uCmOkC/gA1UzJjqJi+SgmmF1B4LQS8Q/8vQbY\n",
       "rQ1lMsHsXaIp2apcYxNMJU0w57nXKgnmKDCSkvkqa4GWVlOyY6hgbsUEsysIdZjTURHbAMwsuUwm\n",
       "mL1NNCVbNYdpfZjd6TBraIyKo6yYMo3WRsl6h2mC2SWEtrxG0Aq3EZjRhjKZYPYuUTdXFcEcQoOW\n",
       "9WHCaMKgnioK5mjDazOqOkrWHGaXEbpwgRfMh4CyV/sxwextqjjox1Kyyijq1qbF/H8ueo6qJJhj\n",
       "Da/NqOooWRPMLiN0Wokf8NMuh2nTSnqXKg/6sZTsxNdG5gI3Uy3BLNhhylkgBwds10d9OlLezIQJ\n",
       "ZpcROq3EHKZRFFWdh9mjDlNmgYwEbhwimDcAs1suVnEU7TBPAQ4L2M6l8WtCaw7zYUwwu4ZQhxkV\n",
       "zLId5hABz4czupaMKVlZAvL2ksvUy32YHwBeFrhtqGC24DDlUJB56dsFE+owQ6fPrQR2DtjOp2Oh\n",
       "mD5Me1pJF5DVYdqgH6NVsqZk3wW8qtQSVcJhyjjIJ0rY8U7AwsBtRwEhWTBv1Fd5Ys7yvAc4Kedn\n",
       "mxHiMAPnYcoosAAVzTQaBdNSslOAPA7TUrJGK2RIycpS4LnA/JLLVIU+zFXAS0vY71Lq8yfTGAXu\n",
       "palgSh+air0ROAL4OUiedXfnU+z1HEUHLhbRh7kT+tzMrA6zod7IHJDnBezDTytJFVwTzGoQ6jBH\n",
       "aa/DtEE/vUuWlOxa4HKglqEfLg8VcJgsAMZKOM5l1KeDpDEK3ENz8ZmJxoC7UQHuy7DfKPMIF/AQ\n",
       "xlyZ0vowQ4zBzsBl/P/2zj1GrqqO45+70y0uVFsTdtlldw0P227bpbvblHYRq0gsCYlaBWMUgiGK\n",
       "NAbxwSO+SIwCBk1EE8VIBP8woDFtSJA2POqjBYS1olBo5WFbRCzd3bZG0MUWSn/+8T135s7snfuY\n",
       "nd3ZZc83mdw7M2fu/M49v/v7nu/vnHsunJJhvdyklOxZwNdSfg9eYc445FGYY3iF6TFx5LkPsx3Y\n",
       "j1RPPYNsJabDWrJtbltH9WUtSBXmUZjVCLMNOIAWLwFdo20x5eLsuBtspXtTb4U5j+o2h8gaU06l\n",
       "2EFjQUrZpJRsB/LdNHjCnGHwY5geU408CrMdqYfJJszo7QGNVJjRbT3Q6bZ5FWacyu0E/gkMAzcC\n",
       "28k+NtqHHtxwPFqRp96TfrIozCwx5RTgefdKS8smpGRpB04ES/u/2UyYFoCd1mgrciLvSj9eYXpM\n",
       "FHmWxmtHATojYVqtszenwxjmJChMulDwz3LuCqjuh4hXa53APgheh+A6RFLtYBvcWtPhcS5yT+GI\n",
       "HrfT2RLWrd4Kc6SKzSGyxpTTgL+jc7Y4pWxSSrYDqdS0es5mwqQPeLjRRuREhrVkzS1unEdhWptu\n",
       "B6gJfgzzzY28KdlhlApMCfrWBOwG65qgTY3yu1b0AOt6K8wdaFbrSrDlCWXDeQpj2h+njrqAfZH3\n",
       "I8AA8FGKs0qtCbgNiP5PG2rnbtSG/2NcW9oXwC7OXKvxdk9AYZYt2r4cPWDil8BVKeOYaSlZSE/L\n",
       "zur7MJcAHbpReMYgS0r2UeAc5HCOXFNTDdcC38hvjjWh58MdxhPmmxV5U7KhwkzrrXej8bqlNdg0\n",
       "XcYw95BKmDaQ4wHOXWhW61Hgq8DlCWXD1bzG0G0fv634PkzJhhhFs2Wh9ASjbpRyXRQp1x2xpRV4\n",
       "hvFtuRY4L7kqVZFVYR4GmsC+DhYl121gq13cbgeeAzaoLB9IOOZx7pgQn5J9hWyEOWsVZo/bpkn5\n",
       "6YTQkaoELjsB6AXOBF51q1pkScsOIMVdiz2NDlwek4vJSskuc9slNdg0XcYwd5HYMbBm4A/AmozH\n",
       "DFXhIeC9lCu/SkQJ82zgzPJUa6zCXOH23+m2IVFGY2A3ItqQMJ8D5lccexnQn14dOx6sN/K+CRH0\n",
       "KOMUZtnxo7cy3UBxJR9rBla59/3ADgjegOAYsBEJhUobBsHOJV1hPkE6Yc7qp5X0IBXWk1ZwGiFN\n",
       "YZ6BcvEFdCFBalrWAkSYvSnPqIvDdEiN5UTuOs52ZEjJWg/Yt8iVkmUp8tFarr8Gj2FagAhzJ8kK\n",
       "8wxEEOtijhHnh4No1udBNPFneYI6jRJmM1qAPaoU3RhmEaOu3AglhbkYeLn0OwsQYQ4hwjzRlf83\n",
       "xdWC7ATUzovATnX33lbDp4G7I3VoQaT1CkXCtAJYO/APLQYBlPscSACAOldzEfGvQOcqxGPASsbj\n",
       "S8A1VB3DtIASYXaM/7m1gj3ixnlDhekIt3rmoM5Bxgpg14IdV9/j5kIPcD8zhjAtoPS0kmpBoh94\n",
       "2u2/6rZpCrMbBZ6DwOk5jZphhGnXAD9rsA2dYJP9jNJ6IktK9jLgK+jev0NkV5ibqF1hNtLvliH1\n",
       "tYtkwjwL3Se4rjy4WgA8DHZh5LO3o1j0R3QO96BruJt4RAkT4FnU8Q1RmZIdcdt7KRHmIvd+kZvs\n",
       "MwR83Nm8AJHmAfdqdTb2IdW5B9gG/Cih/uej2ath9ipUaP/Vvi1Fk3Y+gchqrSsXbd+nKRHmAEoR\n",
       "r0DkGCXMP+vz6OIMNscd890oBsbNkp3v3u8hXmF+CLXjORQJMzhGSsYlI2FaAawP7Gywq8Hucye5\n",
       "EhcD3wXWZzjmvImpAvuUsyPyCBwrIKf5NUXCtF6wx53dNVyEFoB9s/wiqCsKaJLBa1RvqH7g52i5\n",
       "rJAw0yb+DACPo8kGSSmgODQ6cEVgTaWZz3FrX9pc4CrgArBqQWiSYW8BfgfcUQqgdh3YrbWTqDWD\n",
       "rcoxTpYXKQrTAjSRZDdwwAWTrIS5kdo6rI0ew/wYOi97EZGcBPadmDYcBH7i9qPja2sQiXw50m7v\n",
       "AR6B4AgizKeAJymSjbWARa/jKGEeAX5BMU1qzbKL4Uj5Ube9F1gMthZd75sQca5Dqn818AK6n7aP\n",
       "EmF2Ag8Bd6GOwhMo2/U+1b8S1oKI6qfufEFp0syY2/88UtI3oLkXH3Tloj73fZRubkKx6g40O/Y8\n",
       "JHgcgn+5On4bLFT0g64uz6IUd1xKtsPVdRg43Y2PBm4i5Bed7X8BPkxJYUJKWjbDGpK2GTn/6+hm\n",
       "2RdRSmAI7HkU8AtoKaN+4Argetdw1TAX5ecPgj2DiKDyVQ0diCjmI0LYBXYU9SQKyCn/BPwQ7FHU\n",
       "E7oZeD9wGdgw6snsRCmJNCxAKYfLwT6DyC1EpZ3R92EKdY57RfehlDN/m7bBG2DHwDbF2LAa+Ajq\n",
       "AYYN+zLwPbADMeUDdNH82Nl+Pdil7ruTXZ32onYInyMXtT18gvkRlbW7dMiphG1G52wV6vW5zpUN\n",
       "IWNCgxYAf0XteQ/Yi5No1ByknML0ZIiTnA0LgS1ghpb3ehDYC7adcr/JgoXIN/aDvZRQLulaifsu\n",
       "QD3ubhT0XgMuVPq1DGGq60bUIQEFrhVg91T5v3ko6G0BWpwvJ9lXiaXALe5/LwXbN8V+dwWq4zBq\n",
       "5+1IzT3m4lSINWgx9U+i1OSQ+3wJmtRzJZrEchjNXL3dfT+KYk4A3Ay2Hvl3s/ORAvKlv6EO8U5n\n",
       "wwawixBBjEJwNGLLCIq9W4A70ezYd6C06RiKAevR2rG7Ufx+l/t8FPnADuTbu4DfuON9DtgMtr/i\n",
       "HLWi+PoD4Pdgg+63/3GvhSjmXgL8yp3TbSIq3or87SZEkDeheBZO7NkJbISg0t+3I9K9BOyzKCV+\n",
       "C/K3q50tIL851/nnya6uLyFFPIBUbxfq+PUiDnqA0oIwkEKYad64FTG4h8c2YgffJwVb8X7nIUyV\n",
       "323F+5xHCVMZ7zw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PBqI/wNi\n",
       "DEd3WIwWvQAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa78f0c7f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (3600, 128), float64\n",
      "Testing data: (2400, 128), float64\n",
      "Training labels: (3600,), uint8\n",
      "Testing labels: (2400,), uint8\n",
      "Accuracy: 76.2 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (300, 1536), float64\n",
      "Testing data: (200, 1536), float64\n",
      "Training labels: (300,), uint8\n",
      "Testing labels: (200,), uint8\n",
      "Feature vectors accuracy: 63.4 %\n",
      "Clips accuracy: 72.0 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Data: (6000, 128), float64\n",
      "Labels: (6000,), uint8\n",
      "Ratio: 5400.0 training, 600.0 testing\n",
      "  77 (+/- 1.8) <- [77 75 76 78 73 77 75 79 75 76]\n",
      "  78 (+/- 1.6) <- [75 79 77 74 80 77 78 78 77 79]\n",
      "  79 (+/- 1.2) <- [80 77 79 78 80 80 80 77 80 78]\n",
      "  78 (+/- 2.1) <- [78 72 79 79 79 80 78 79 80 78]\n",
      "  78 (+/- 0.9) <- [79 77 79 78 77 78 79 77 78 77]\n",
      "  79 (+/- 1.4) <- [78 77 77 79 79 81 77 79 77 78]\n",
      "  78 (+/- 1.2) <- [79 77 78 78 79 76 79 77 76 78]\n",
      "  78 (+/- 1.5) <- [75 80 79 76 78 79 77 77 75 79]\n",
      "  78 (+/- 1.2) <- [77 78 79 80 78 76 78 78 78 76]\n",
      "  78 (+/- 1.4) <- [79 77 78 75 77 76 76 77 79 80]\n",
      "  79 (+/- 1.6) <- [79 80 78 77 80 79 80 75 78 79]\n",
      "  78 (+/- 1.2) <- [79 79 78 79 75 77 77 79 78 77]\n",
      "  77 (+/- 1.9) <- [78 76 76 76 77 79 80 73 78 76]\n",
      "  77 (+/- 1.9) <- [77 77 81 74 75 76 75 75 78 78]\n",
      "  78 (+/- 1.0) <- [78 78 78 78 78 79 80 78 77 76]\n",
      "  79 (+/- 1.8) <- [80 77 79 81 75 77 78 77 81 77]\n",
      "  78 (+/- 1.4) <- [78 80 78 76 78 75 76 79 78 76]\n",
      "  78 (+/- 0.9) <- [77 79 78 78 77 78 78 77 76 76]\n",
      "  78 (+/- 1.0) <- [76 79 77 78 78 78 78 78 77 76]\n",
      "  78 (+/- 1.5) <- [78 78 79 74 77 78 78 77 78 75]\n",
      "Accuracy: 78.0 (+/- 1.59)\n",
      "Mean time (20 cv): 20.73 seconds\n",
      "Overall time: 418.79 seconds\n",
      "\n",
      " -------------------- Graph, diag = False -------------------- \n",
      "\n",
      "Data: (149000, 96), float32\n",
      "Elapsed time: 187.54 seconds\n",
      "All self-referenced in the first column: True\n",
      "dist in [0.0, 1.49841809273]\n",
      "w in [0.00525848474354, 1.0]\n",
      "Ones on the diagonal: 149000 (over 149000)\n",
      "assert: True\n",
      "W in [0.0, 1.0]\n",
      "Datasets:\n",
      "  L_data    : (2406288,), float32\n",
      "  L_indices : (2406288,), int32\n",
      "  L_indptr  : (149001,) , int32\n",
      "  L_shape   : (2,)      , int64\n",
      "  W_data    : (2257288,), float32\n",
      "  W_indices : (2257288,), int32\n",
      "  W_indptr  : (149001,) , int32\n",
      "  W_shape   : (2,)      , int64\n",
      "Attributes:\n",
      "  K = 11\n",
      "  dm = euclidean\n",
      "  Csigma = 1\n",
      "  diag = False\n",
      "  laplacian = normalized\n",
      "Overall time: 197.86 seconds\n",
      "\n",
      " -------------------- Features, diag = False -------------------- \n",
      "\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Datasets:\n",
      "  Xa: (10, 100, 644, 2, 1024) , float32\n",
      "  Xs: (10, 100, 644, 2, 96)   , float32\n",
      "Full dataset:\n",
      "  size: N=1,288,000 x n=96 -> 123,648,000 floats\n",
      "  dim: 123,648 features per clip\n",
      "  shape: (10, 100, 644, 2, 96)\n",
      "<class 'h5py._hl.dataset.Dataset'>\n",
      "Reduced dataset:\n",
      "  size: N=149,000 x n=96 -> 14,304,000 floats\n",
      "  dim: 28,608 features per clip\n",
      "  shape: (5, 100, 149, 2, 96)\n",
      "<type 'numpy.ndarray'>\n",
      "Data: (149000, 96), float32\n",
      "Attributes:\n",
      "  K = 11\n",
      "  dm = euclidean\n",
      "  Csigma = 1\n",
      "  diag = False\n",
      "  laplacian = normalized\n",
      "Datasets:\n",
      "  L_data    : (2406288,), float32\n",
      "  L_indices : (2406288,), int32\n",
      "  L_indptr  : (149001,) , int32\n",
      "  L_shape   : (2,)      , int64\n",
      "  W_data    : (2257288,), float32\n",
      "  W_indices : (2257288,), int32\n",
      "  W_indptr  : (149001,) , int32\n",
      "  W_shape   : (2,)      , int64\n",
      "Size X: 13.6 M --> 54.6 MiB\n",
      "Size Z: 18.2 M --> 72.8 MiB\n",
      "Size D: 12.0 k --> 48.0 kiB\n",
      "Size E: 12.0 k --> 48.0 kiB\n",
      "Elapsed time: 2634 seconds\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfkAAAFRCAYAAAB3+dRnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm8HFWd///XzUZCAoGwCGHJxQUBUVF2B/CIgjhso6Ki\n",
       "oAL+xHEDZxxBkKUEnWHE0RFQB5VVBREUWdxApBGRL8iOsiNrgmGHsCUhqd8fn1N2dd1e6vbt7tOn\n",
       "+/18POrRVdXVVZ8+N+lTZ6lzQERERERERERERERERERERERERERERERERERERESGWAX4WKBrjwLL\n",
       "gUkN3k+AH/YqGBGJR6MfDZFBtB3wJ+Bp4Angj8AWJT+b+qUf9WtcIhLYlNABiPTIysDFwCeAnwIr\n",
       "ANsDi0MG5U0BXp7A50c6FciAmmj6ikRLJXkZFhtiJd5z/OtLwKXArf79hNoq71HGVpG/GrgGeAb4\n",
       "BbBqk+tVgP9qcHx27gOAB4DfYRn1EcD9wELgDOzGJO9jwHxgAfD5JtfeBquxeAq4CXhrIa5jgauA\n",
       "RcCFwOrAj32c1wLzcsd/08fzDHAL8LoG15wDnObjexI4P/fex4G7sdqTC4C1c+8tx2687vLxnuT3\n",
       "r4DVuOSvtwbwgo8XYDf//Z7y3+f1uWPvBw7xMS8CJgMfwdL7capp/XZ//AjwReAe//45jP17ZZ9/\n",
       "DDg8d61Jfvse4FngOmBd/95G2L+zJ4A7gPchIiIdtxL24306sAtjM+ijaZ7JV4CHgU2AFYHzaN4O\n",
       "3uz47NynAzOA6ViGf7d/bybwM+DMwvE/9sdvCjxKNYNKcudex3/PXfz2O/z2arm47gI2wG4i/uqv\n",
       "uyOWEZ4BnOqPfSeWYWU3G68F1mrwfX8JnA3MxkrO2/v9O2KZ4mbANOAE4Irc55ZjNxorA+v57/VO\n",
       "/94pwFdyx34a+JVffxN287EllkF/BLgPmOrfvx+4wafHCtjfYRHwFn/M8cASHx/AwdiN0Vz//v8B\n",
       "Z/n3Rn2cJ/tzvQG7SXytf/8L2M3Ea/z267GbnpnAQ8BHsX9Hm/m02HhM6omIyIRthJU2HwKWYqXK\n",
       "Nf17Cc0z+cuB/8y9vzFW1d+oqrzZ8dm5R3PvXwb8a257QywTmpQ7fsPc+/8N/KBO7IdSvTnI/AbL\n",
       "BLO4Dsu993Usg87sBtzo13cE7gS2pnmt39rAMiyDLzoFOC63PRP7Xuv77eVYxps5x38HsJuYe3Lv\n",
       "XQXs69e/CxxTuNYdVG8u7gP2y713FHaTlJmB/T2yTP623Hr2nYrpPzf3/jXA+/36ncDujPUB4A+F\n",
       "fSf7WER6QtX1MkzuAPbHSoybYj/a/zuOzz+UW38QK/GtgZX6Fvnliy2OX73B+2tjVcH546cAr2hy\n",
       "vnymk5mHVQk/lVv+idoS+MLc+ktY6Tm/Pcuv/x6rPv+2/8zJWI1I0XpYFf0zdd4rfq/nsarrdXL7\n",
       "/p5bfyF3/QpWC7IVltG+kWozwDysySL/PdelNk2K6ftwbvtFH0dm1J87O9dtWDt+Pv0bxbkucC9j\n",
       "zcNukPIxfqhwTpGuUiYvw+pOrGp6U7/9PJahZOpVS69fWF+KVb/+K5b5rURtqbXe8Y/n9uV7xS+g\n",
       "tmS/PpbJLCzsy6/PrxPjg1ipftXcshLwtTrHFmOo50TsCYRNsJqEL9Q55iGserpeSb74vWZiTQf1\n",
       "Yi9ahnWS/KBfLsL+TmDf86vUfs9ZWE1AJv/dHqHaTg5Wkl8tt/0g1WacbFnRf66Vh7D+GkUPYk0T\n",
       "xb/Fp0ucU6QjlMnLsHgt8O9US5DrYRnH1X77JmAHv382tVXaYNXs+2LV7itiVcXn0jiTHO/xZwP/\n",
       "hmWIs7Cq/p9g1cSZI7DM6XVYVfQ5jPUjrOp4Z6yNfTrgqC05jzRYL9oCK4lOxUquL2EZb9EjwK+B\n",
       "7wCr+ON3yH2v/bFS+Ar+e/0/LAOspxjPWcDeWAn4rNz+72M3V1v5z8wEdqVaui46D0uXbbG+AUnh\n",
       "Wv/nY8tupNYA9mhwrqIfYJ0ZX+3P+Qbspudi7MZoXyxNpmJ9CDYqeV6RCeu3TH4Euzs/gWobokgn\n",
       "LMIyrGuA57DM/RaqvdQvxTLNW4A/Y6XGfIacYm3dp2OZ2jTgoCbXS7ESdaPji5n9qf74PwB/wzLV\n",
       "zxaOvwJro/4d1nHsd7n3svM9DOyJ9fZ+FMtMP09thlb8XsVYsu2Vge9hVfH3Y7UQxzf4vh/Gairu\n",
       "wGofsu96GXAk1pFwAdbhb+8GsdSL51rs77U2diORuR7rtX+Sj+9u7Dej0U3UbVh6/sTHsQhLn+wR\n",
       "ym9hHQAvwXrIX43dQDSKM+8bWI3DJViTxfexm6vnsJutvbGai0ewJy6mNTmXyEB7N/aj+HVqO8GI\n",
       "xOZyrMe89KdZ2E3JvFYHisSs30ryG2I9aP8D+GTgWEQmSoPU9JfdsaaTmVhB4hZqOwWKDJxeZPKn\n",
       "YtV3txb274JV7d1N9ZGZh7EBMKC2LVIkRhputr/sgVWbzwdeRW2zgYi0aXts4Ip8Jj8Za1scxTqj\n",
       "3IR1UJqBdWI5AZXkRUREojBKbSa/LTZAR+aL1D5fLCIiIhMUaoKadagdqOJhrOdzWfOpPxCIiIjI\n",
       "ILoZGxq5L41SW5J/L/aYSWZfbNCNstTW2VoSOoBIJKEDiEQSOoAIJKEDiEQSOoAIJHX2tZXvhepd\n",
       "Px8bdCSzHrVDTsrEjYYOIBKjoQOIxGjoACIwGjqASIyGDiACo506UahM/jpsxqZRbGCID2ADUYxH\n",
       "go3kJSIiMqgcfV77cTY2wtRirB1+f7//Xdj44fcwdgjRVlRd35oLHUAkXOgAIuFCBxABFzqASLjQ\n",
       "AUTA1dk3VPneUH1ZEREZelG1yUv3udABRMKFDiASLnQAEXA9vNaTVMf51zJYy5N08N9SqEfoOiHB\n",
       "5puuBI1CRKT3ViXeYZMd+t1uplhidwzhTbaq60VkmOk3cHA1+tuqul5ERESqlMkPLhc6gEi40AFE\n",
       "woUOIAIudACRcKEDiIDr1IlizuQT9I9FRGQYnA4cGzqIQBx9/px8N6g9SkSGWT//Bu4DLKqzLAeO\n",
       "aPOcpwHHlDy2AnyszetA+BsKtcmLiEjf+jGwUmH5N+Dv1M5ZMl5lnyYIfQM0OfD1B0LoP2IMXOgA\n",
       "IuFCBxAJFzqACLgeXium38A3YSX5Hfy2K/mZG4BngZ9gI6dmpetVgYuBR7Fnyi/CZjYF+CrwMvCi\n",
       "v+YJfv+3gAeBZ7Bh1bdrcN0DgSXYCK2LgAv8/rnAz/w1/wZ8NveZBDgP+KE//8ew2oSvAFf581wI\n",
       "rI7dAD0DXAvMaxBDika8I0Vt8q240AFEwoUOIBIudAARcD28Viw/+KsA9wJfyO1zwBexzLmeacAD\n",
       "wMFYqfi9WMabVdfPAd4NTAdmAT8Fzs99/nLggMI598FuDiYB/w484q9TT7FpYBJwPdbUMAXYwH+n\n",
       "nf37iY9vD789Hcvk7/LHrgz8Fbgb2NF/pzOAUxtcv5jJO3+NWP7mHTFUX1ZEpKDEb2CaTnyZkBGs\n",
       "BHt+qwMLdsBmKs27isZt8pthJfrM5bRuk38SeH2D906jtk1+a+ymI+8wqpl0wtjBfS6ndk6WrwO/\n",
       "zG3vBtzY4PodbZOPecQ7ERFpaCT0iHiHAhsDm4/zc3MZm8k/QLVNfkXgm8A7sdI5WIl+hGpGWMwQ\n",
       "/wMr3c/1762MVZ+XMc9/7qncvsnAH3Lb9aZKX5hbfwmr6s9vzyp5/QlRx7vB5UIHEAkXOoBIuNAB\n",
       "RMCFDqCPOOBwYC+sXb34XjOPUG1jz8yjmnF/HtgQ2AqYDbwVy+Czm4BiBr891lzwPqz5YFWsXbzR\n",
       "TVDx8w8C9/nPZcvKWGk8O75VKXu8pXA3zuMbUiYvIiKdtDbWWe5g4OY2Pv8nrPPcQcBU4D3Alrn3\n",
       "Z2Ed657B2uePLnx+IfCq3PZK/nyPY+3wR2GZdCMLgVfmtq/FOs8dAszASvGbAlv49xvdLIw0WO8p\n",
       "ZfKDqxI6gEhUQgcQiUroACJQCR1An/g4sCbWs734rPx3sHQ6HPhVg88vxTL2/YAngPdjPdsz/4tl\n",
       "to9jNwS/prak/C2sBuFJf+xv/HIXcD92g/Bgk/hPATbBqud/jj3fvxvW9v834DHge1RvFBqV5NPC\n",
       "evGYZqX7SpP3hoJ614vIMFPn48FVbxa6pM7+gTZUX7ZNLnQAkXChA4iECx1ABFwPrxXzb6ALHUCf\n",
       "6+hz8qquFxERkb4S812siMhE6TdwcGnsehEREWlNmfzgcqEDiIQLHUAkXOgAIuBCBxAJFzqACLhO\n",
       "nUiZvIiIiPQVPUInIsNMbfKDS4/QMWRfVkSkQL+Bg0sd76QUFzqASLjQAUTChQ4gAi50AJFwXTjn\n",
       "9sAdXThvKK5TJ1ImLyIinbQPY4ezXYQND3tEl655JbBRB89XofV0tdJFqqoSkWEW22/g/wcsAF7R\n",
       "hXNPdMr0eoXdMnPSj/ecZXW0uj5WQ/VlRUQKYvoNfBNWkt9hHJ+5H/gi8FdsoplTgRX8ew6bv/0Q\n",
       "bFraM/y+h3Kf3xgrjT8F/AXYPffe6cB3sQlyngN2LFz7q9isdS/6uE/w+zcCLsUmzbkDm7q20Tnf\n",
       "7r/DfwC3+POcgt3k/BqbQe9SbOrbImXyDNmXbZMLHUAkXOgAIuFCBxAB18NrxfIbuApwLzafe8Zh\n",
       "GfhFTT53P5Y5roPN3/5H4Njc55cC/4VNRTud2kx+KnCPv8YU4G3YnPYb+vdPB54GtvXb2c1D3uXA\n",
       "Abntmf78H8VK6Zths9Ft3OSc92Gz5K0BzMWmsL0BeKN//zJs2tuijo5dP9FqDhER6UdJB24EkgnN\n",
       "gz4CnIll1scX3juuxWdT4CRgvt/+KnAicKTfXo7NI7/UL3nbYJlydo3LgYuBDwJf9vt+AVzt1xc3\n",
       "iT+zG5Zpn+G3b8KmoX0fcEyTc56I3QyA9RtYCNzst8/HSvxdFXMmn2DVMZWgUfSvSugAIlEJHUAk\n",
       "KqEDiEAldAA1JpZBd8KhWEl388L+SsnP56vfH8RKw5nHgCUNPje38FmAB3KfT7Hq/lbyN0nzgK2x\n",
       "6v/MFOwmptk5F+bWXyxsvwTManDtSm7dMYFaotgzeRER6T8OOBx7tO3ZNs+xfmF9QW67WS3FAmA9\n",
       "rCSeHTeP8T1iVzz/g8AVwM7jOEc97dx4VfxydDsX1CN0g8uFDiASLnQAkXChA4iACx1An1gb+Alw\n",
       "MNWq6TxX4hwjwKewNvk5wJf8Ocu4BngB65g31V9vt9zny2S0C4FX5bYvxtr09/XnnApsSfWxvU7X\n",
       "mrhOnUiZvIiIdNLHgTWxXunFZ+W/4485HOuJ3kgKnAVcgnXcuxv4SuH9ep8Bq8bfHXgXVq1/EvBh\n",
       "4K7cca36K3wL2Avr2f+/WI/5nYG9sX4Cj2Ad/6aN45zFuMt+ZiilkG4XOggRkUAGPXO4j7GPtg0L\n",
       "DWvrnQrptNaHiYiIDKeYM/m7gINCB9HHXOgAIuFCBxAJFzqACLjQAUTChQ4gAq5TJ4q5d/0hwO8h\n",
       "/TaMvBg6GBER6ZgNQgcgYfm2ifQiSP81bCgiIj036G3yw0zD2lLN5LeH9B5IJ4cNR0Skp4bqB3/I\n",
       "KJOnmsmPQHo1pHuFDacvudABRMKFDiASLnQAEXA9vFbMP/gudAB9rqNj18fc8Q4YSbHxiQ+3DF9E\n",
       "RERil7ujSSdBeguku4YLR0Skp2IuyUtzqq7HvmzCP6o00vdDeo1K8yIyJIbqB99LgB+GDqIHin9b\n",
       "h333ofqbF75sOtln8uppX+VCBxAJFzqASLjQAUTA9fBa/f6Dfz82fvyz2MxtVwGfwMZ4d22e82jK\n",
       "Z/KnU51/vh3JOK7VaWqTH2tkGbA/cCykm4WORkRkyKXYpDArYzPIHYdNPXtKyKB6SE98TVCDO5p0\n",
       "L0gXQrovpDEP9CMi0ky/l+TrjT2/JbAMeF3Jc2yATe/6LDZRzYnUlq7PxSaKedoft4nffyA2Sc1i\n",
       "bFKcC/z+LwL3+PP9FfiXBtfdxX92if/8jX7/bOwmZQE2d/yxVAvK+2G1Fd8AHvfvnYZNyPMrf54r\n",
       "gbWwyW+eAm4H6hVK1SZP0y+bbgvpHyF9FNILID0R0gTSIyA9DNJDIP08pJ+D9BOQ7gHp5pCubZ34\n",
       "RET6Xr//4DeaYOYBrNoe4EPUn4o2czXwdWxa12xe+jNz7+8HzPTvf5NqZgyWwR5TON9eWCYL8H5s\n",
       "Zrm1qO/owrUAzge+C8wA1sCmtD0wF8tS4NNYxj8dazJ4DHgTsAJwGdaMsS/WbHEs8Ps61+5oJj+A\n",
       "pd2Rq4HtIJ0HbAGsi81HPB37vlOwqpTJ2B9rbWzO4nWA2ZA+gt2lzcfutp6lOk3iS1TvEJcUluK+\n",
       "RtvL/KN/3eaASg+uEzuH0qkMh9KpFUcfpVHagRuBkc7Pk74A2Nyvn+WXetbHfr93xDLPK4GLqI3n\n",
       "9Nz6l7H561fCfqthbOzn5dZ/ChwGbAVcWOf6I4XPvwKbunYVLB94EZuC9uPA93Lf7dt+/SUs/X9O\n",
       "9ebjfOCTwI9yMXymzrWhg/+WBjCTz4w8gN01jkO6AjAXWA/L9FfB2pRWAlbHbhSmFZYVWmwX902C\n",
       "dAnwMrAcq75a3qH17D91CheuDHs8Te2cxWmd5R/7P8W3J32bz+wzYnefIhKxLmTQnbAO8KcSx83F\n",
       "Cln5eUkewH6bwQppX8VK52tgv4Fgv9OLqO8jwL8Bo357FrBaybjnYTUGj+T2TQIezG0/VOdzj+bW\n",
       "Xypsv+hj6KoBzuTbMbIYq2a6r3vXSCdjmX1WmzDJLxNdzzp6+DvQPUaovRsdqbPU7P8yR/8nsClw\n",
       "eee/d9+qhA4gEpXQAUSgEjqAPrcllsmfWuLYR4BVgRWxXvpgGe0yv/4hYA/g7VjmvwrwJNXftWIt\n",
       "xjysxL0j1gyQYiXsRjdCywvbD2G1savVeS/TyRraSqdOpEy+50aWUXt32jdWtycU1gwdh4gMhCwD\n",
       "XRnYAave/iHW6a2VB4DrsGr4w4Gtsd76WSe6WVim+yTWLv+fhc8vBF6Z256JZcKPYwWjj2AFmkYW\n",
       "Ajv575BiNx2XYB3rjgSexzoGrgP8ocE5+qImRR3NBpdr4zOPMnyZvAsdQCRc6AAi4EIH0Gcuwvo0\n",
       "PYi1f/8PVpBw/v19gL80+fyHsMz9SeAo4Izce2diNwLz/Tmy0nnmFKy3/VNYu/ht/vpXA3/HMvg/\n",
       "Nrn2uf71CexmA+zGYJo/15P+mKzjXr75kwb7Gh1Tj2sS21Do956l/cCN9wMpHJ1ObACJGLnQAUTC\n",
       "hQ4gAq6H14r5N9CFDqDPdXQwnFgN1ZftlRQ+lMI1qd2t1juiwX4R6TH9Bg4uPUInXfMT4L3AdakN\n",
       "4PAE1u71MsCRHHvAV+zRxDuB64FLgStgpFFvVhERCagvOga0ISXe2HvF0UYPzdTS9R1YW9hs7LHB\n",
       "yf69lyaRHg+8FtgG2BnrMXstcLEtI3d3IPZecqhXdBkOpVMrjt6lUcy/gQ79W2omBd7G2DSK+W8+\n",
       "bqqqas315jLpLEj3hPT7kC6A9C5IvwHpjpFU77vQAUTChQ4gAq6H14r5N9CFDqDPDXSbvMNGNvou\n",
       "8NYmxw3Elx086SRI3wzpUZBeC+nTkP7SDyu8K6TD1nNfpFv0Gzi4BrpNfjk2WtEK2NCyEpWR5cAN\n",
       "fjkG0rWAt2BV+p8DtoB0Gdamf4d/fQB7xOYh4BE/joCIiHRAv9XvZwMPrIkNOrBvg+OGqm2iTY6+\n",
       "a/dKR7AxoF8LbARsiI1EtZ5fVseeYZ2PDa37GDZ4xWN1lseB5zswD4Cj79KpLzmUTq04epdGT2Ij\n",
       "wsngeQp4Dx1qk+9FSf5UYFdsoJXX5/bvgo2ANBn4AfDfVKsjnsZK8zJQRlIsE/87NjVkQToNG7N6\n",
       "LjYedbbMBd5Y2Lc6MA3SZ4FnCsuzudcXmy8f2whOeSK3byn2NMHS6qLaBek7c0IHMAEO3TC24jp1\n",
       "ol6UhrfHpvQ7k2omPxmrqn0HVmr7M/BBrHT3Tmwc4u/QeLhAleQFf1OwMvYUwOzC+mxsYqEZJZcV\n",
       "sScJpmI3v1NzC9TN/P+xb3lhSevsK/N+vcmEqLPvBBi5pN1UE5Eo9W1J/kqqs/5ktgLuwebWBXs+\n",
       "e0/gOGw6PpESRpZg1faPd/c66WTGZvzZMgX7jzepsNTbV+b9/MRBxdds/Y46Ma6J3Sg8Byzu0XTG\n",
       "ItLnQnW8W4faafkexp7LHo/Tqd4kPA3cRLUKyPnXYd7eDGsO6Zd4+nU7W29y/Mj2PYhnWZnjU9j8\n",
       "HDhtbxt+OPf+OUfABzYDVoLLJ8OlL8A7fNPIT5fBi0/CR6+37UPXgIVPwemXAE/A5M39xFrNrq9/\n",
       "T623s339Ek+/bn8O/V632t4MSyPH2ELyuPSqynsUm6wgq65/L9Ym/3G/vS+WyX+25PlUXd+aQ+1e\n",
       "ZTgiSic/5PCNWMzfwZ5MWAq8POJHJsw1Y6yOTaCxFtbhca3CshrWtjsN68j1hH9dhM2y9UL19Xur\n",
       "w4G3+32L/TWX5F6X1NlX771lTZblkddAOCL6txSQQ+nUiqNDHe9CZfLbAAmW0YPNULQc63xXhjJ5\n",
       "GVqpZczHYP1X1sZq5B4bsScU2jnjdOycc7CMfyWsj8KK2BSdxdep2I1B9jqtzr56703D+uM0Wkaw\n",
       "34FmNwItbhL+0W+h7NLOZ7LlYBi5p5CWK2CdNRvNOS7Srr5tk6/nOuA1WOa/APgA1vFuPBLsTqfS\n",
       "ubBE+t+IlbY/08EzvoT9P1zQuXO2Ix2h+U1AqyXr0zDepd3PPVbnS9wHrA3py1iNxxL/mi0vFZYX\n",
       "6+xrtn8J1RuhYsfN4r5mx7R7Y9ONZYluippyTKC3fS8y+bOx0etWw9rhjwJOw36kfov95zwFuH2c\n",
       "5006F+JAcugGqAyH0qkMR9fTaSTFmhxe7u51usbByFx/s5LVXqzgl2nY0xsr+NcZ/rW45PfPqbN/\n",
       "GmM7a04e576s1iTQ8vvJsGOa27c11v6ck14KzKL676HesqzB9rIGx9R7P7u5aPQkS5l9nT7+XhhZ\n",
       "iX/8f0tvAUbarbzuRSbfqIT+a7+IiEQlhf2wG58fY087PL0OrDAfpo3YUx/Z8lywIPuXo/UN46HY\n",
       "DdGUEsvkOuv19k0rvD+V2qdW6j3J0mpfN46/FMhP9LUBcDRDJsVK8i5sGCIyjFJYOYUjU7gyhYdT\n",
       "eD6FF1P4RejYZOA4LL9rq1NqrJ3X1PFORCRyqU2puhM2h8VzWL+Dl4GFI/D/QsbWh6LqeCfd51Bb\n",
       "cxkOpVMZDqVTKw6lURmOajo9hT2WuQW1o05ezxBm8qk1UXzvxzBnH+vEudh282y7pdqymfwo8Grg\n",
       "d9gfYgo2LriIiEhbRqzD3U0tDxwey4HLFsAbsDEwpvv9z3fzogdiY8vf67c3BC7r5gVLUJu8iIgM\n",
       "A8cE2uTLuBmrQrgxt+/Wbl2spJhHxRIRERmvtvK9SSWOyQZxyExp92LSUy50AJFwoQOIhAsdQARc\n",
       "6AAi4UIHEAHXqROVyeSvAL6EtcXvBJyLDVErIiIifaxMh73JwMeAnf32b4EfELY0r0foRERkmAxV\n",
       "vqeOdyIiMgwcE+h4V+YRuvvq7EuBV7ZzwQ5KAl+/3zn0zG4ZDqVTGQ6lUyuO8aZRwhTGjlnfaH06\n",
       "1XHnKfnafyW/P/Ea3lIzbOt5JIXJfhL2pzrjYaPhbIvvTS353hTGly7jyVwbHTue/eeT8Geyf0sJ\n",
       "zwM7t5vjlcnkt8ytTwf2wiabEZFBYZnNqtg0s/nFxsX4A69nB0ap/cGcSu3sb/Vem703kWOLGRp1\n",
       "tru9/gUS/lZz9YQzsN/HbGrdFQrrxQx8hNoZ515k7Cx02fpiqpP3NJv4pPjaXx2lZzIX++6ZX9Y5\n",
       "6nVYGr0MLKV2IpoXqE40s7TwfqP1/HY2E18Z47kZaHTsePcvpHba6LuBLwB/HEcsLS/Syg3Am9v8\n",
       "bCcMVduESNsSJgNrAnOxuefnNlhWA54BFhWWF6n9IS2+5qczTQuv9fY1eh3PsdlrppiJpT1a/z0J\n",
       "T9VcOWF3v5ZNM7uksF7MxF8m6bNMWPpVW/lemQ9sTvUf9SRs+MFPAm8c78U6SJm8NJYwCSspzMSm\n",
       "q5zpt6dRnQJ0WovtqYydqrPZNJ6tlk46lYQrCt/5UOz/5iy/rASsgWXwT2JzxT8CzKc6d3x+eZSE\n",
       "ZR2OU0Q6p2tj1/8P1Uz+ZeB+4P3jvZD0nCPGNlTLoOf4ZdUWy2wsA8+WfIb+EjYU5PPYxBcvUi1N\n",
       "LcFKokv4C6uwKQ/X7LOlWEp9Obe+vPBeq6XTVaYL6uy7Ees/81xueQxYSMKSDlzTEeO/p95yKI3K\n",
       "cCidWnF0KI3KZPKuExfqggRLhErQKGR8EqZhQyNny6uwauS1/LImlkE9iU1eUVweBe70689QzcTz\n",
       "GfoLJKXb3BznDcC/oYRLQocgIl3hmEA+3Kzo/3n/WiyBjPh932j3oh2g6vpYWJvwNsBuwD9hfTke\n",
       "xjLqu7A5EeYDf/fLoyQ1IyyKiEgXqutXon4V40iD/SJVCbOBg4BPY6XvC4FjgWtINIOhiIg0ppuM\n",
       "1lyQqybMJuEoEh4j4UwSNg4SR3kudACRcKEDiIALHUAkXOgAIuDq7OvaYDgzsGFtN/Hr2YUOaOeC\n",
       "MqASVgEOBj6DPff6FpKaAS9ERKTHytTvnwfcDuwDfBnY128f1MW4WlGbfL9IWJVq5n4R8FUS7gkb\n",
       "lIjIwOnaI3Svxka52xM4AziLNkfe6bAE9a4PI2EE2AyrzdkH+AWwNQn3Bo1LRGTwOLrUuz5zLbAV\n",
       "cCXwKawH9DWEHbu+3B1NwgbA9sADwJXjeKwqf46pWCfE5VSfoV42ZpQqy/imY8OAzvSv05ssUxg7\n",
       "pGd+abS/3GduYn02Y0Fhf34s63rrC0k4vElaHATsAWyKjYZ2DvAdkrrPbcfCoRvFMhxKp1YcSqMy\n",
       "HEqnVhxj06hrJfnvYwOTHIH1kJ4FHDneC/VcwoeBbwKXYuMgTyUhAc5tmNknrAi8A/hn7FGvjbDM\n",
       "ehGWuNn405P86GDZkmL9FZZg4yo/jw2+Um8c6mwM6qXUDulZHDylzP6XG773EtOAe3L708JCnfVn\n",
       "WqTq7dgguTFkAAAbrElEQVQ4yrcBD2o4ThGR/lbmrmAK1UkR+kXzO5qE1wJXATuQcJsvZb8D+E9s\n",
       "SNKjgEtJWEzCK4C3Ae8DdgKuAy7Gaiv+CjzToNQ+mdoZjV4k6bt0EhGRwdC1sesfBH6DVc3+nv54\n",
       "fK1VJn8ucD0JxxX2jwDvAQ4B3kB1oo2rsQ6GF5DwZHdCFhERaVvXOpzPBD4AnI+1bZ+EtXOH1PhG\n",
       "I2FLEh72Ve+NJUz3z3QPai99FzqASLjQAUTChQ4gAi50AJFwoQOIgKuzr2vPyT+PleLPwSYFOQHr\n",
       "EDC5nQv2wGeA/yHhhaZHJf9oHxcRERlIZUuxDivN7wL8Gcvwf9almMqoX22RMAUbQnXTyHt8i4iI\n",
       "5HWtd/39wE1Yxv4FbJavfrUV8JAyeBEREXt2upU3Av8CnE1/ZfAJY9stdgZ+2/NI+pMLHUAkXOgA\n",
       "IuFCBxABFzqASLjQAUTAFdaTdk9UJpNv9ex0KAljBwvYDrii55GIiIh0R4UJZPKx9iwf2zZh85Y/\n",
       "BbyShMdDBCUiItIlbbXJlynJx2JjbFhWZfAiIiKUy+SnY5OQfAk42i9HdTOoNr0ZG61OjAsdQCRc\n",
       "6AAi4UIHEAEXOoBIuNABRMB16kRletdfADwNXE9/P1e+CTYMrYiIiJT0l9AB1DF25J+EC0l4T4BY\n",
       "REREuq2tEe/KVNf/CRvnvd9tjM2OJiIiIpTL5LfHqurvAm71yy3dDGrcEqYD6wL3hg6lj7jQAUTC\n",
       "hQ4gEi50ABFwoQOIhAsdQARcp05Upk3+Xf41qyrox8fuNgT+RsLS0IGIiIj0izIl+fuBVYA9gN2B\n",
       "2X5fP9kEVdUXVUIHEIlK6AAiUQkdQAQqoQOIRCV0ABGodOpEZTL5g4EfAWsAr/DrB3UqgA55Faqq\n",
       "FxERGbdbsTnlMzP9vpBS8mPXJ5xMwicDxtOPXOgAIuFCBxAJFzqACLjQAUTChQ4gAq6wntDF3vUA\n",
       "yxush5RQrdJYH3ggWCQiIiLdUWECY9eX6Xh3GnAN8HOs092/AKe2e8EumQc8GDqIPlMJHUAkKqED\n",
       "iEQldAARqIQOIBKV0AFEoNKpE5XtKb85NsNbClwJ3NipANpUHag/YQRYBMwl4dmQQYmIiHRJWxPU\n",
       "NLOyf53jl9X8km2HVG2bSJhDwtMBY+lXLnQAkXChA4iECx1ABFzoACLhQgcQAVdnX1tt8s2q688G\n",
       "dgVuaHDyDdq5YBfMQ+3xIiIiAyNfkt+ThIsCxiIiItJtXetdf1nJfaGsjzrdiYiIjNEsk5+BtcGv\n",
       "QbUdfg4wCqzT9cjKWw94OHQQfciFDiASLnQAkXChA4iACx1AJFzoACLgOnWiZm3yn8BGu5uLTVCT\n",
       "WQSc1KkAOmBN4I7QQYiIiMTos6EDqCPfJv9rEnYNGIuIiEi3da1NPgVWzW2vCnyqnYt1yZrAo6GD\n",
       "EBER6TdlMvmPA0/ltp8CDuxOOG15BbAwdBB9yIUOIBIudACRcKEDiIALHUAkXOgAIuA6daIymfyk\n",
       "wnGTgamdCmBCbLQ7leRFRETqKDNE3texx9RO9sd/Antk7fNdjKsVG94vYVXgfhJmB4xFRESk29oa\n",
       "1rbMBDWHYtXz2VSulwI/GO+FukSleBERkYjMBP4MTXvMWy/DhO1JuKoXQUXIhQ4gEi50AJFwoQOI\n",
       "gAsdQCRc6AAi4Ors6/jY9ZntgKOxQXCy41Pgle1csIRDgHNKHrsa8HiX4hAREYlamUz+FOBz2EQ1\n",
       "y7obDjsBtwHTSx4/h9qe/1JVCR1AJCqhA4hEJXQAEaiEDiASldABRKDSqROV6V3/NPBr7DG1x3NL\n",
       "Waf6z95a2L8LNlLd3Vi7P8BbgW2AD2GP7rXqZDAHeHIcsYiIiAyNMpn85cDxwLbAm3NLWadhGXre\n",
       "ZGxo3F2ATYAPAhsDRwD/BpwFfI/WbRCroky+ERc6gEi40AFEwoUOIAIudACRcKEDiIDr1InKVNdv\n",
       "g2W2WxT2v63kNa7E2vPztgLuAe732z8B9gRu99tnlDjv6ZzP63iBR7HmhJuoVnE4/zrM25v1WTza\n",
       "jntb/55ab9PifW2bzfosnn7c3iy3PkoERqmtrt8L+H5ue1/gxHGcL+tdfw4Je080OBERkT7Xtd71\n",
       "R1N9CD9/kWPauaDXVrB1qE1eRESkgTJt8s/75TlgOfDPTLz6YD42D3ymnTnhE+5ifZTJN+JCBxAJ\n",
       "FzqASLjQAUTAhQ4gEi50ABFwhfWklxdfAbhinJ8Zpba6fgpwr98/DWtP33gc58uq6/9G0rXn9WPn\n",
       "QgcQCRc6gEi40AFEwIUOIBIudAARcHX2daoGvKU5WKe5ss4GFgCLgYeA/f3+dwF3+nMdNs4Yskz+\n",
       "aRJWGednRUREYtNWJl9msPt8CXwSNl78MYyvo1ynpSRMBpYCU0lYHjAWERGRbmtrgppmNvCv87Bq\n",
       "9VFgXfpjmtmUafwXH+GF0IH0MRc6gEi40AFEwoUOIAIudACRcKEDiIArrCe0WZJv1vHuPP96KvY8\n",
       "+/1Y57il7Vyo4w7nJF7J06HDEBER6aIKE+h41+wRusnAl4DXAv9ObTVBCnyj3Yt2yErAosAx9LNK\n",
       "6AAiUQkdQCQqoQOIQCV0AJGohA4gApVOnahZSX5vbEKayViGOiu3rNSpACZAmbyIiMgE/XPoAOpI\n",
       "mcsZ7M0NoQPpYy50AJFwoQOIhAsdQARc6AAi4UIHEAFXWE/oQpt85lftnLjrDuR8NuKh0GGIiIh0\n",
       "UYUJtMmXyeT7larrm6uEDiASldABRKISOoAIVEIHEIlK6AAiUOnUiZTJi4iIDKgymfxM4Eiqs8a9\n",
       "BtitaxGVp0y+ORc6gEi40AFEwoUOIAIudACRcKEDiIDr1InKZPKnAUuAt/jtBcBXOxVA285lV65j\n",
       "tdBhiIiIdJGjyxPUXO9fb8ztu7mbFywhJeEEEj4XOA4REZFe6Frv+sXAjNz2q/y+0FRdLyIi0kSZ\n",
       "TD4BfoONW38W8Hvg0C7GVNZKwLOhg+hjLnQAkXChA4iECx1ABFzoACLhQgcQAdepEzUb1jZzCXAD\n",
       "sI3fPhh4rFMBTMBKwHOhgxAREYnZRcCHsF72/SJlax5gKw4OHYiIiEgXOSYw4l3ZC3wXeACbmW4v\n",
       "YHq3LlZSSsJ1JGwZOA4REZFe6FrHuwrwSazD3cnA+4FH27lYh80AXgwdRB9zoQOIhAsdQCRc6AAi\n",
       "4EIHEAkXOoAIuE6dqEybPFiGugeWwb8ZOKNTAUyAMnkREZEJ+ilWVX8y8DZs6tnQUhIeIWFu6EBE\n",
       "RER6oK3q+jIl+VOAD2Jzy/eTFVFJXkREpKFmbfJv96+zgD2B9/jlvf41tBnAC6GD6GMudACRcKED\n",
       "iIQLHUAEXOgAIuFCBxAB16kTNSvJ7wBcBuxO/WqCn3cqiLZczlT+wLZo2kIRERlcji7fGL2y5L5e\n",
       "Skl4PnAMIiIivdK1R+jOq7Pv3HYu1mFqjxcREWmiWSa/Mdb+vgq1bfH7EX4wHFAm34oLHUAkXOgA\n",
       "IuFCBxABFzqASLjQAUTAdepEzdrkN8Ta42f718wi4OOdCmAC1OlORERkgrYNHUAdKQk3hQ5CRESk\n",
       "R7rWJv9JrMo+sypwajsX6zBV14uIiDRRJpN/A/B0bvspbGjb0JTJN+dCBxAJFzqASLjQAUTAhQ4g\n",
       "Ei50ABFwnTpRmUx+BJiT255Dfwxtq0xeRERkgj4C3AkcC3zFr38kaESQsjl/RXeEIiIy2Bxdnk8e\n",
       "4HXAZ/yySTcvVFJKwpmhgxAREemRrnW8A6uifx44CXgM2KCdi3WYquubc6EDiIQLHUAkXOgAIuBC\n",
       "BxAJFzqACLhOnahMJp8AhwCH+e1pwI86FcAEKJMXERGZoJuxm4Ebc/tuCRRLJiXhuMAxiIiI9ErX\n",
       "qusXA8tz2zPbuVAXLA4dgIiISD8rk8mfC5yMDYhzIDb97A+6GVRJS0IH0Odc6AAi4UIHEAkXOoAI\n",
       "uNABRMKFDiACrlMnajZ2feZ4YGdszPoNgSOBSzsVwASoJC8iIjKAUhIOCh2EiIhIj3S8Tf4q//oc\n",
       "VorPL88C9wOfbueiHaKSvIiISJesho1+F0JKwv6Brh0LFzqASLjQAUTChQ4gAi50AJFwoQOIgKuz\n",
       "r62SfJk2ebAJabbHetlfBdwAPAG8rZ2LdohK8iIiIhN0FHAr8GXgGOy5+SODRgQp8/gpuiMUEZHB\n",
       "5ujy2PV3AdNz2zP8vpBSEnYPHIOIiEivdG0wnPlYxp6ZDjzczsU6TM/JN+dCBxAJFzqASLjQAUTA\n",
       "hQ4gEi50ABFwnTpRszb5E/3rM8BfgUv89k7AtZ0KYALUJi8iItLESJP39sOqB7JjiutndC+sllIS\n",
       "/omEPwWMQUREpFfyeXBpzUryp/vXGcCr/QXuAV4a70W6RCV5ERGRJpq1yU8FvgY8hJXaz8Ta4o/3\n",
       "74W2NHQAfc6FDiASLnQAkXChA4iACx1AJFzoACLgOnWiZpn88cAcYAPsOfk3A6/EJqr5eqcCmAB1\n",
       "vBMREWnTPdS/CZjs3wspJeHVgWMQERHplY4/Qrec2nnkM8sa7O81VdeLiIg00SyTvx34aJ39Hwbu\n",
       "6E444/Jy6AD6nAsdQCRc6AAi4UIHEAEXOoBIuNABRMB16kTNetd/Gvg5cABwvd+3ObAi8O5OBTAB\n",
       "KsmLiIhMwAjwduAg4LN+vR+kJMwJHYSIiEiPdGUWuhS4zC/9RiV5ERGRJsqMXd+v1CbfnAsdQCRc\n",
       "6AAi4UIHEAEXOoBIuNABRMB16kT9lslvBHwX+CnwsRbHqiQvIiISoUlYRt9ISjL+MXxFREQi1bX5\n",
       "5Httd+DXwHuaHDMwX1ZERKSEvs33TgUWArcW9u+CPW9/N3Bonc9d0OScfftl+4gLHUAkXOgAIuFC\n",
       "BxABFzqASLjQAUTA1dnXld71nXAaNjf9mbl9k4GTgHcA84E/AxcCa2Il+OnA5T2ITURERCZolNqS\n",
       "/LbAb3LbX/RLWSrJi4jIMOnbknw962BT2GYeBrYe5zlOB+73608DNwEVv+38q7a1rW1ta1vbMW5n\n",
       "66NEYJTakvx7ge/ntvfFqvTLUkm+NRc6gEi40AFEwoUOIAIudACRcKEDiICrs6/js9B103xgvdz2\n",
       "elhpXkRERCIzSm1Jfgpwr98/Datq33gc50uBBN0RiojIYHNYfte3NdhnAwuAxVg7/P5+/7uAO4F7\n",
       "gMPGec6+/bIiIiJdMFT53lB92Ta50AFEwoUOIBIudAARcKEDiIQLHUAEXJ19UbXJi4iIiNSlNnkR\n",
       "ERkGjj5vk++GofqyIiIy9FRdLzVc6AAi4UIHEAkXOoAIuNABRMKFDiACrlMnUiYvIiIifUVt8iIi\n",
       "MgwcapMXEREZaGqTlxoudACRcKEDiIQLHUAEXOgAIuFCBxAB16kTKZMXERGRvqLqehERGSZDV12f\n",
       "oGofEREZbA7L74aKSvKtudABRMKFDiASLnQAEXChA4iECx1ABFydfUNXkhcREZEBpJK8iIgME5Xk\n",
       "RUREpCrmTD5BbTvNuNABRMKFDiASLnQAEXChA4iECx1ABFxhPWn3RFMmGEhISegAREREuqzil6PD\n",
       "htFbapMXEZFhojZ5ERERqVImP7hc6AAi4UIHEAkXOoAIuNABRMKFDiACrlMnUiYvIiIifUVt8iIi\n",
       "MkyGrk0+QdU+IiIy2BxD+DSZSvKtudABRMKFDiASLnQAEXChA4iECx1ABFydfUNXkhcREZEBpJK8\n",
       "iIgME5XkRUREpEqZ/OByoQOIhAsdQCRc6AAi4EIHEAkXOoAIuE6dSJm8iIiI9BW1yYuIyDBRm7yI\n",
       "iIhUxZzJJ6htpxkXOoBIuNABRMKFDiACLnQAkXChA4iAK6wn7Z5I88mLiIj0rwqaT15ERGSgqU1e\n",
       "REREqpTJDy4XOoBIuNABRMKFDiACLnQAkXChA4iA69SJlMmLiIhIX1GbvIiIDBO1yYuIiEiVMvnB\n",
       "5UIHEAkXOoBIuNABRMCFDiASLnQAEXCdOpEyeREREekrapMXEZFhojZ5ERERqYo5k09Q204zLnQA\n",
       "kXChA4iECx1ABFzoACLhQgcQAVdYT9o9kcauFxER6V8VNHa9iIjIQFObvIiIiFQpkx9cLnQAkXCh\n",
       "A4iECx1ABFzoACLhQgcQAdepEymTFxERkb6iNnkRERkmapMXERGRKmXyg8uFDiASLnQAkXChA4iA\n",
       "Cx1AJFzoACLgOnUiZfIiIiLSV9QmLyIiw0Rt8iIiIlKlTH5wudABRMKFDiASLnQAEXChA4iECx1A\n",
       "BFynTqRMXkRERPqK2uRFRGSYtJXv9eMsdHsCuwIrA6cAl4YNR0RERDptFeAHDd5TSb41FzqASLjQ\n",
       "AUTChQ4gAi50AJFwoQOIgKuzb+B61x8BnBQ6iIhtFjqASCidylE6taY0Kkfp1FrH0qhXmfypwELg\n",
       "1sL+XYA7gLuBQ/2+EeC/gV8DN/UovkG0SugAIqF0Kkfp1JrSqBylU2sdS6NeZfKnYRl63mSspL4L\n",
       "sAnwQWBj4DPA24G9gE/0KD4REZGB06uOd1cCo4V9WwH3APf77Z9gne6OA07sUVyDbDR0AJEYDR1A\n",
       "JEZDBxCB0dABRGI0dAARGO3UiUL2rl8HeCi3/TCwdcnP3os635Xx0dABRELpVI7SqTWlUTlKp9aK\n",
       "aXRzOycJmclPJJN+dceiEBERGVAhe9fPB9bLba+HleZFREQkMqPU9q6fglW7jwLTsJ70G/c8KhER\n",
       "EZmQs4EFwGKsHX5/v/9dwJ1YB7zDSpyn3iN3w2o94HLgr8BfgIP8/jnYKIF3AZdQ+yjGYVja3QHs\n",
       "3LNIw5sM3Ahc5LeVRmOtApwH3A7chvWPUTrVOgz7/3YrcBawAkojqP+IdDvpsrk/x93At7oYbwj1\n",
       "0uh47P/bzcDPgdm594YxjZiM3QyMAlNRyX8tqgMmzMJuljYGvgYc4vcfij2tAPaY4k1Y2o1iadnP\n",
       "gyF10r8DPwYu9NtKo7HOAA7w61OwHxylU9Uo8DcsYwc4B+sYpTSC7YE3UZuBjSddRvx712JPXQH8\n",
       "irGPXcesXhrtRPXfxHEojdgW+E1u+4t+EfML4B3Ynd8r/L61/DbYnWG+9uM3wDY9iy6cdYHfAW+j\n",
       "WpJXGtWajWVgRUqnqjnYjfSq2E3QRdiPtNLIjFKbgY03XdbGSrWZvYH/60agAY0ydkC4zLuBH/n1\n",
       "jqZRTHeW9R65WydQLP1mFLtLvAb7j7XQ719I9T/aXGo7Ng5L+n0T+AKwPLdPaVRrA+AxbNCqG4Dv\n",
       "AzNROuU9CfwP8CDW9Pg0Vh2tNKpvvOlS3D+f4UqvA7CSOXQ4jWLK5PVcfH2zgJ8BBwOLCu+lNE+3\n",
       "QU/T3YBHsfb4kQbHDHsagZVM3wx8x78+z9hasmFPp1cBn8NuqOdi/+/2LRwz7GnUSKt0GXZfApZg\n",
       "/Tw6LqZMXo/cjTUVy+B/iFXXg901r+XX18YyORibfuv6fYPsLcAewH1Y588dsbRSGtV62C9/9tvn\n",
       "YZn931E6ZbYA/gQ8AbyMdZTaFqVRI+P5P/aw379uYf8wpNd+wD8D++T2DW0a6ZG7WiPAmVh1dN7X\n",
       "qLbnfJGxnTmmYdWz99K4dDuI3kq1TV5pNNYfgA39eoKlkdKp6o3YUywzsO96BvBplEaZUcZ2vBtv\n",
       "ulyDPdUxwgB2KmNsGu2CPa2xeuG4YU6jcT9yN8i2w9qZb8Kqo2/E/uBzsI5m9R5dORxLuzuAd/Yy\n",
       "2D7wVqq965VGY70RK8nnH+dROtU6hOojdGdgNWlKo+oj0kuoPiLdTrpkj4fdA5zQ9ah7q5hGB2CP\n",
       "wT1A9ff7O7njhzGNRERERERERERERERERERERERERERERERERERERGT8nvOv84APdvjchxe2r+rw\n",
       "+TttP+DEDp/z69hYBWBj4/d6IKsK9oxxt+0BHNmD64iIyDhk4/47qiPjlTWl5Llj8VEmlskXh8te\n",
       "CZsis1dGGDu63OXYUL29uHY2TahIcDGNXS/SC8dhcz/fiE36Mwk4HsukbgYO9Mc54ErgAmy4U7D5\n",
       "A67z2x/PnW+GP98P/b6s1mDEn/tW4Bbg/blzV4Bzsaklsykoiyr+/NdgI0Fu5/fvR20mfTGwQ+7a\n",
       "X/MxXopNYXkFNnTm7rnPrIdljHcBR+X27+uvdyM2zWX2G/IcVlq/ibFTqu6JjX6WjzvLcJ8DvuI/\n",
       "dzWwpt9/OvAtrNbjXuC9uc9/gerfI/H7Rn0anIGlZ36M76IPYul9K9XhVpvtfw74BpZmv6M6DOlB\n",
       "2Ah4N2MjmoFNxHI1sHOT64uISI9lpe38GPdgmfqX/PoK2NCvo1hG/BxWvZ9Z1b/OwDKKbLtYks+2\n",
       "34sN+TmCZW4PYJN6OGwq07n+vT8B/1Qn5suxmwSwIZ8v9ev7UZvJX0Q1k19OdZjMn/vrTwbegGXc\n",
       "2ecX+Pin+++yOVbFfqE/HmwYzg/nzrtXnRgBvgu8pxB3lskvB3b16/9NNa1PB87x6xtjQ4CCZZ4n\n",
       "+/VJ/rttj/1NlgFbNYghu+ZcLJ1X89/jMuwmpNH+LMasCedIqmk7n2qJfeXctfb330UkuFbVjCLD\n",
       "pljNuzPweqoZ2MrAq7GZyK7FMobMwcC/+PX1gNfQvJp6O2x6yRSbpesKYEvgWf+5Bf64m7BMrF5b\n",
       "/s/96w3+mFaWAL/167cCL2GZ418Kn78EeCp3je38cZtjtRVgNzN/9+vLsBkR65kHPNIknl/69euB\n",
       "nfx6SnVmxdupzke+s1+yG5KZ2N/jIexv0Sy9R7D0rWCzyQH8GLsBShvsvwDL5LMbjh9RTfNbsL/f\n",
       "L3Kxgv3dBm7iEImTMnmR1j5DtZSccdi86/ntt2NV1S9hJcfpLc6bMvamIpt3e3Fu3zIa/19dXOeY\n",
       "l6ltisvHsTS3vhzLZLP1RtcYycV1BmM7EoJ952ZzhjdqGizGk49hSW49n07/BXyvcJ5Rav8ejRRj\n",
       "bDQzXP47N9q/K3YjsDtWA7Ep9h0mNfisSM+pTV6k1iKso1jmt8CnqGY+GwIr1vncyljJ9yVgI2rb\n",
       "pZdSPwO9EvgA9v9wDSzDuJaJT0l6P7CZP896NK7CbmYnrLp+BlZt/UesCnsvHyvYTGPrlzhX1gzR\n",
       "Cb/FZvCa6bfXycXTSoql71upVsvvjZXg6+2/wn9uEvA+v/4h7O82gn33CjaV6mxglj9mbWpreESC\n",
       "UUlexGQlr5uxUvFNwGnYdI6jWHX4CFat/m5/fL609hvgX4HbsA5gV+fe+x5WtXs91oadfe58YFt/\n",
       "zRTrUPYo1gZdLAmWKRlmx/wRuM/Hcru/bqPzpHXWs8zwZ1gHth9i3x/gCKwqfxJ28/Ip4MEW8f0R\n",
       "2IL61fnF69eLJ79+KZY+WfouwjoDFj/byN+xTPly7O95MdU+GI32P4/dKB0BLMRuzKZg6TLbH/8t\n",
       "rJkFf+x4n9AQERGJ0iysw2KsxvMI5CTsBlEFKOkLqq4XkW57Dishvy10IG0aT/v6bsB5WL8IERER\n",
       "EREREREREREREREREREREREREREREREREemO/x96cw3y5barAwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7579872d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Inner loop: 1215 iterations\n",
      "g(Z) = ||X-DZ||_2^2 = 7.319667e+04\n",
      "rdiff: 0.00118013341358\n",
      "i(Z) = ||Z||_1 = 5.671479e+04\n",
      "j(Z) = tr(Z^TLZ) = 9.658946e+03\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfQAAAFRCAYAAACCB1/XAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xf8HFW9//HXppCEEEhCL4EvLRSlF0UQjiIgKipYEEQB\n",
       "Ffl5VbhXrqJeha/YULhXBRRBFKyAFAuKHb4IWIJ0BOmhd0IJgVByfn98zrrz3WzfmT27e97Px2Me\n",
       "uzM7O/vZ+Sb7mVPmHBARERERERERERERERERERERERERERERERERERGRyEaBHzZ4/QZg5wI+t6jj\n",
       "isiAmxA7AJE+dRBwPfAM8ADwLWCFzOu+yftfDvy5yxjOAD5fwHFFZAgpoYss7Qjg2PC4PPBKYB3g\n",
       "D8DksE8pTmiSMSl2ACIi0r+WB54G3l61fTrwMHBwWD8aOAc4C3gKuBLYPLP/fGDX8LwEfBK4DXgU\n",
       "OBuYldl3J+AvwALgbuBA4BDgeWBxiOcXmeO+FlgDWFR1nK2AR4CJYf19wI3A48BvgbUz+34NeAh4\n",
       "ErgOeFnNswGzgdOB+8JxfpZ57RDgVuCxEN/qmdeWAIcCt4TvdVLYPgV4ourzVg7fZaWw/ibgmvC+\n",
       "y4HNMvvOBz4RYn42fNf3Andh5/YztH7uR0Kc5fc/Anw681kTwvpt2N/4H8Ba4bWNsQu8x4B/Ae9A\n",
       "RET6yuuBF6hde3UG8JPwfBRLuPtgSeUI4A4qyfROLPECHI4l7DWwEv63M8dZB0sW+4b3zga2CK+d\n",
       "DhxTFUP2uH8CPpB57TisaQDgLViy3Sh8l//BkiPAHlhyWj6sbwSsVuP7AvwaOBNrbpgEvDpsfy2W\n",
       "ALcElgFOAC7JvG8J8MvwGXOwi6E9wmvfBb6Q2ffDwIXh+VbYhcZ2WDJ+b/jO5ZqR+cBVwJrYxcGm\n",
       "2AXPq8I+x2F/l1bO/UiI85RwrM2B58L5APg4duGwYVjfDPv7TAfuwS68JoRz8AiwyVJnT0REojkA\n",
       "azOv5Vjg9+H5KJYoykrA/cCOYT2beG/MPAcryT6PJfBPAefV+bzTWboNPXvc92NJvfz5d2OlfYDf\n",
       "YCX0sglYf4C1gdcANwOvoHGz2+rAS4zvO1D2Xex8lE0P36lcC7AES7JlZwNHhue7YqXessux8w5w\n",
       "MktfxPyLyoXEnVj/hrKjgB9n1qdhtRrNzv0EKgl9jczrfwfeGZ7fDOzF0vZl6X4Mp4RYRKJRG7rI\n",
       "eI9iVb+1/m+sjpXEyu7NPPdhfQ2WNoJVVS8Iy43Ai8CqWBXuHR3Gej6wA1a63hlLTpeF19YBvpH5\n",
       "zMfC9jWAi7Eq8G9ipeFTgBk1jj8Hq2Z/ssZrq2PV1GXPhM9YM7PtwczzRcBy4fkYsCywPXZutqBS\n",
       "lb8OVtuxILOsxfjzek9VHNm/w7NUvis0PvfN4lwLuJ2lrYNdDGVj3L/qmCI9p4QuMt5fsRLe26q2\n",
       "L4dVx/8ps21O5vkELAHcX+OYd4f3zsosy4Z97wHWrxNLs570C7Aag32xhHJm1Wd+sOozpwN/C6+f\n",
       "CGyLVVnPxaqXq92DVTHXKqHfjyXLsunAilhbezMvAT8F9gvLBdgFQTnuL1bFvRxWwi/LnpcHqLRr\n",
       "g5XQV8ys1zv39Wphsu4BNqix/W6seSF7zBlY04GIiPSRj2Oltj2wdtcRrI33H1Tackexqtu9sbbl\n",
       "j1G/Df0/sVJxuTp6ZeDN4fkcrA39HeE4K1JpQ/8y46uTq48LVj18FVazkO089lbstrtNw/oKVDpu\n",
       "bYuVMCdjifg3WCe/Wn4VYpgZ9i/fA78r1i6+Bdb+/A3GV0MvAdbLrJ/B+OaD7bGkej3jq7W3wRLm\n",
       "9lgzwnTgjVRKzdXff1Ps/O2AteV/hfFt6I3O/UiIM1uwuZhKU8V/A9diSb2EtbHPDrHMx5oJJodl\n",
       "O6yjnIgEJezq/ASsM4xILO/Dks0iLLmfzPiS6tFYKTPby33LzOvZxFMC/gtrC34Kaz/OdgrbCSs5\n",
       "P4kls/eE7RsAV2Ml8fNrHBdgajjm9TW+wwFYp67ycU8L21+LJaqnsSaEH2Kl1lpmYcn4Qaz6/dzM\n",
       "a4eG7/IY1gEuWy3+EuMTeq0OfrdiFyLVt5/tAczDvvf9WOl8enit+vuDdU7L9nK/l0pfhkbnfiTE\n",
       "WS+hlzsT3hHe+/fMd5yLXew8HD73j4y/y0EkeXtjPx7Hs/R/WpFBcheVDmrSO8thdymsEzsQkdQd\n",
       "id3bCnaPr8ggWgUr2a/VbEfJxV5YDcN07La0K+OGIxJHLzrFfQ/rSVtdJfh6rBrsViq3s9yLDToB\n",
       "1rYlMmi2w253OoHxva+lOG/GOuPdh3UwfFfccESG16uxwSKyCX0i1pY1gnUouQYblGEa1s53AvCh\n",
       "nkYpIiIiTY0wPqHvgA1FWfbJsIiIiEgHYk1usCbjB4e4F7uNplX3UXsADxERkWF0O7XHRei5EcaX\n",
       "0N8GfCezfgA20EWrmg24Id0bjR1AIkZjB5CA0dgBJGA0dgAJaJr3Yo0Udx/jR9magzoQ9ZuR2AEk\n",
       "YiR2AAkYiR1AAkZiByDxEvo/sBmMRrDRnfbFBqYQERGRPnUmNtrTYqzdvDyf9J7Y7T23YTNOtcNj\n",
       "VTwulwilFhc7gES42AEkwMUOIAEudgBDzGH5bmibmof2i4mIiNTQt23o0v9c7AAS4WIHkADXxr6P\n",
       "Yz+cWrTEWh6nQ7FuWxMR6UezsAldpD0Om+deuudjB9BryX1hEekJ/bZIbPX+DTb9tznIVe6jqLpS\n",
       "RESGm2PI7/PXVXTxXOwAEuFiB5AA18a++m3pjIsdwBBJsoQuIiIVU4B/Aqu2uP9HgGMLimUM2KXB\n",
       "egwHAac3WB94SuhSz1jsABIxFjuABIzFDqBHPghcgk1XvTbwdI3lReBPYf/vAO8GVs7hs8eq1ss9\n",
       "tmutbwU8iU11W7YNsCDEXW0Em067/B0eBC4AXpfZ593U/r5LgM/UibnV2pjjgVuAp4CbgPfU2W93\n",
       "4HngcmBq1WtzgV8ADwOPYZOTzW3x84eeqsVEpAiD/NtyAzaTZT2bY0nptZltpwJHFBDLxcDODda/\n",
       "CFwUnk8GrsVqDGoZwRJzuQC6CnAYlrAPbBDDB7BBzco1FgcxvkR+IK2V0EepJN/tsdvKqs/z9sCj\n",
       "2DwlP8dGPp2YeX07bFC1mdjdZcdgFwe1dFzlPqg86hRXNBc7gES42AEkwLWxbz//aG4NXI0l5Z8C\n",
       "ZwOfD6+tDSyifq3r8lgp89NV2/enkli74arWmyX0ZbCE9kHgaODSBsceYXxCLzsCK63XshWW8LOf\n",
       "WZ3AW03o1X4BfCyzvhFwF5Uag4nAWcD3GhxjNvadZtV4rfrfoEMjxUmXXOwAEuFiB5AA18a+DX5b\n",
       "/Kngx8BfCH5mZ6F0fIxlsKTxUSxh7I0Np31MeP2NWAm9nvOwaupqW2NVwPVch1WF11pOyuznqt7X\n",
       "LKEDvAp4Aqt+b1T9PELthL5e2L5R1faZ2FSjH6/ankdCn4aV+nfPbDuIpUvsE4DDqf+93opNUlZL\n",
       "kiV0EZG8NUroY+B9jsvZbcS1M0vPSHkplYT+buCvdd57BHAHluiqbYi1q+etlYS+AvAIjUvnUD+h\n",
       "Tw3bs8m0hFV3/6zGcfJI6N8HLmzzPdXWwv6W+9Z5Xb3cRUQKtig8XgHMglKp/YXfZI5xaBufvQZL\n",
       "l+juyTxfAMyo8b6dsOrat2Ol4WozsBJyDP+LdeKbw/jkthCrLn8KS371rBkes0OlHglsQuO29U4d\n",
       "B2wKvLOLY6wM/B74JtZkIqiE3gsudgCJcLEDSIBrY99GJfSZVqrutLq9q2PswtIl9MuolNDXAp5h\n",
       "fCFt1fCeQxoc991Uer3X8k9q9x5/GvhWZj9X9b5mJfTXYb3xZ2Mzbz5I7fZkqF9C/2/ggaoYngK2\n",
       "qHOcbkron8OaH+rF2IpZWB+ILzXZT1XukjsXO4BEuNgBJMC1sW+//rZMxtrQP4L1kn4L49vQwXqK\n",
       "l6ufJ2JJ9AdNjnsqlhi75arWGyX06VgTwH6Z138InFHn2CNYQi/3Gl8VOw9PYe3XAKtjFwUHU1+n\n",
       "Cf1TWIfCVu/vr2V5YB5wYgv7JpnQR9GPoYjkq59/NLfBSnhPY73cz2P8Pdb/QaXUvDOWBMvV19nl\n",
       "+rDPVKzaPo/70Ks1SujfAH5Vtf+KWIl91xrHGqFyH/rCsN+vGN8x7SjG36teqybhIDpL6EuAZ6uO\n",
       "+ckW3pd1IEv/Peo1KaiXu4hIDgbpt+XvjG8rXob+GSmulU5xvZbXbWtFU6c4yZ2LHUAiXOwAEuBi\n",
       "B5CTnYHVsCr3A4GXYyOOlT0PvAwrwbbiJNovadbjamzrt2loq+Ppt/i6pvnQRUQGw0ZYVft07D7r\n",
       "t9N68o6h32o7Gg1Hu5Da8b4eG8pVCtRv/1BEZDjot0ViU5W7iIhIypTQpR4XO4BEuNgBJMDFDiAB\n",
       "LnYAooQuIiIiEek+dBEpgtrQJTbdhy4ikgP9tkhs6hQnuXOxA0iEix1AAlzsAHJyA+MHZ9kUm+Sl\n",
       "Vedit2EVYUmT9WbmY3O611uXFiihi4gMhpcDf86sfx6bAQxskpVaw54uoTI87FeAL/Qk0vFqTfCy\n",
       "GHgps0916bOVmpLJ2EXKndj33KXrSCUKVYuJSBEG5bdldeAxbLjXej4A3M/4oWBvwcaEz1s7JfTp\n",
       "wI3A0ZltdzK+RF69Xstk4DBgR+x7xh5aNi9JTs4iIpK3fv5tmQ+8Njx/Lzavdj1bYSXh6iR3KjaR\n",
       "Sd7aSehnMX7IWugsoWfdgxK6hn6VuhwwFjmGFDh0novmyOMcj3IqMBdYBOzPKE/0+BjZH/TNgJvr\n",
       "7DcTq4o+hvFV9AA3ATvVed/a2BSs9XwIS8bdOAx4JbB1l8eRGpTQRURaM5dKO+0CRrs+3inAvh2+\n",
       "dwWsyr1aCZsD/Toq7etZC7GEX8vdwKwO42nFK4EvYlOkPl7g5yRLCV3qGYsdQCLGYgeQgLGcjrMo\n",
       "PF4B7N5hCf1CYM9wjEO7iGUBMKPG9iOBTajfTj4DOoi7eysB52Czu82L8PlJGORe7qMMz+0oItL/\n",
       "9sdmO+ssmed3DLAS+NyqbQ74NDYL21N13rcJcE2d19amdk/58rJfh7FOAH4CXAp8s8NjpMxBDvVB\n",
       "fayfO64MCxc7gES42AEkwLWxbz//ttxJpVPcqsCjVHq5rw48CBzc5Bg3A9sWEFujTnHHYL3apzd4\n",
       "f6ed4qYAU7FOcbuF54NOA8uIiCTkIeAi4K1h/RBgFeAEli5Zfyvss11Y/0dPI4X/AdbFLjiycT0F\n",
       "rNXlsW/GmkLWAH4HPIMGpBk4/XwVLSKDa5B+Wzahvfbofh4prtvb1oaJ7kMXEcmBfls6o4SeH1W5\n",
       "S+5c7AAS4WIHkAAXO4AEdDJ0ayvH+zS1O+j9usvjSx/RVXTxXOwAEuFiB5AA18a++m3pjIsdwBBR\n",
       "lbuISA702yKxqcpdREQkZUroUo+LHUAiXOwAEuBiB5AAFzsAUUIXERGRiDwa+lVE8qc2dImt+t+g\n",
       "w/Ld0P7bHNovJiJR9ftvyw1U5v3eFJvkpVVFDizTqj2An0WOoR0xzpl6uUvuXOwAEuFiB5AA18a+\n",
       "g/Tbch7wzvD83dS+X3sJ8Jmwz3YUM+zrQdhkMa34B7B9eF7rHvOFWMwHVL1vDjZe+0PABlWvLWT8\n",
       "912UWd8fK93+sEYsMc9ZI0rokjsXO4BEuNgBJMC1se+g/Lasjs2HvkyDfT4A3I9N5FJ2C/WnVu3U\n",
       "QTRP6BOw5HhLk/2+AFwPTMtsWxG4Kbx2JHA7sFqd92cnsCk7mtoJvZZenbNGlNBFRHLQ778t84Fd\n",
       "gfcCf2iw31ZYaXPnqu2nAkflGM8mwLPAi+HzHg/bzwBOBi7EStC7hs89tcGx3gA8CWyU2TYd+Bs2\n",
       "wUvZYcBVwPI1jlEroY/SWkLv1TlrRvehi4gUycOpHsY8XOhhZqRjlH/UX47NNFbLTKzt9xjgz1Wv\n",
       "3QRsUed9awMLGizvqvGem4D/B/wVmAHMzry2H/B5YDngsiYxjwA/wErI2X22A74BfDGz7QSstP7K\n",
       "OsfqRKfnrK9Mih2A9C0HjEWOIQUOneeiOfI5x3OBXcLzBTkU5U8B9u3wvTOxKvdqJSwxXgccV+P1\n",
       "hdS/kLgbmNVBLCVghaptHvg5lugBFofPfbrG+6dgyfRHwDlVr43V+czzO4iznm7OWV9RCV1EpDWL\n",
       "wuMVwKwSlNpdgN9kjnFoF7EswErE1Y7EqsEPrPO+GcATXXxuO+6pWl9A7Wryb2AJ/4jCI6qtn85Z\n",
       "V5TQpZ6x2AEkYix2AAkYy+k4+wM/BXYvdf4Dn8cxPFaanFu13WE9x98OPFXnvZsA19R5bW1q9/ou\n",
       "L/s1iOfJFuKuFfN7gL2x3vovtXCMTjSqTHF0d84kB/3ecUVEBlO//7aUO32tAjxKpZf76sCDwMFN\n",
       "3n8zsG3OMe0R4pqc2XYG1n6etRXj28dfjl0ovC7HWOp1ivsxVrU/NSxTiHvOGlGnOMmdix1AIlzs\n",
       "ABLgYgdQgIeBi4C3hvVDsCR/AkuXrL8V9tkurOd9X/VFWGJ8MMQFlnyqE9DVWEm+fB/6x7Db035W\n",
       "I+ZP5hifx2oXnsWaTRYBt2Ed8GKdM8no96voYeBiB5AIFzuABLg29u3335a7gJ3C802AeW28t8hR\n",
       "z1yL++2GRoprRvehi4jkoJ9/W1bBSpdrxQ5ECqWELiKSg379bdkO6yV+bOxApHBK6JI7FzuARLjY\n",
       "ASTAtbGvfls642IHMETUKU5EREQGj66iRaQI+m2R2JIsoY+iah4RERluDst3Q0tX0cVzsQNIhIsd\n",
       "QAJcG/s+TuUeai1aYizlGeuq+Trb/02Ts4iIVMxuvovU4NAwxtKhplcqIiIiQ6Rp3hvkNnQREREJ\n",
       "lNClHhc7gES42AEkwMUOIAEudgCihC4iIiIRqQ1dRERSojZ0ERGRFCihSz0udgCJcLEDSICLHUAC\n",
       "XOwARAldREREIlIbuoiIpERt6CIiIilQQpd6XOwAEuFiB5AAFzuABLjYAUjrCX0EeF14viywfCHR\n",
       "iIiISGE+CFwB3B7W5wJ/ihcOoDZ0ERFJSy5571pgCnB1Ztv1eRy4C0roIiKSklw6xS0OS9mkVg5c\n",
       "PP8P8NuBnxw7kiHlYgeQCBc7gAS42AEkwMUOQFqbD/0S4H+wtvPdgP8ALigyqBZtA1wETAZ/F/Av\n",
       "4Obxj6XHIsYnIiLSM6UW9pkIvB/YPaz/DjiNuKV0D/4KLKZngQ2AjYCNqx5fpGai504ovRAhbhER\n",
       "kU54muTsVhJ6P/LgZ0HpiQa7lIBVqZ3o1wTuZOlEfzOUHi80chERkfblktDvrHPg9TqJKCdNv1iT\n",
       "t0/FSvXViX5j4DlqJnruhNKL3QQ9YBwwFjmGFDh0novm0DkumkPnuGhN814rbejbZZ5PBd4OrNhF\n",
       "UI044PPADcBZWPt9AUrPhc+4Yfx2XwJWY3yC3zU8rgb+TpZO9DdDaUExcYqIiLSm01LuVcDWeQYS\n",
       "7Ax8EngQ+CKVe9+rdVlC74SfBmxI7Sr8RdRuq58PpZd6G6eIiAyhXKrct6HSAW4CsC3wIWCLrkKr\n",
       "H48HVgH+Dzigzn4REno9vgSsQe1Evyp2UVKrrf7JKOGKiMggyiXvjQEXh+UPwHewZNWq7wEPsfRg\n",
       "NK/HktutwJFVry0DnNPgmH1wH3wr/LLgtwC/L/ijwP8E/JXgF4J/APzF4L8N/j/B7wl+XfATY0cd\n",
       "uNgBJMLFDiABLnYACXCxA0hA07zXShu66zKI04ETgR9ktk0ETsLGh78PG1r2l1jJdg9gZnjPgCst\n",
       "wkbau3b8dl/CetpvTKU0/8bwuDL4W6ldqn+6V5GLiMhgaVR8PyI8Vl8VlKvF/6+NzxnBBqPZLKzv\n",
       "AByNldLB2s0Bjm3xeH1U5Z43Px0bL7+6+n4u8AS1e+DfDaUlUcIVEZFe6KqX+wxqF/FLdba3Y03g\n",
       "nsz6vcAr2jzGGcD88PwJ4Boqt0248DiA66VngBWAB4AzK69PLsHztwMbw9ffCCs6eM9etn7RSvDr\n",
       "e+ENVwI3w+dLcPs9cMZPoLSwv76f1rWuda1rvYX18vMR+swI49vQ34a1xZcdQHtV7APSht4rfgb4\n",
       "bcDvD/4Y8GeDvxb8IvD3gv8j+G+C/yj43cGvDb7ZOP6uF5GLznMPuNgBJMDFDiABubShT8OGft00\n",
       "PC8f9H2dx8V9wJzM+hyslC4dKT0NXBmWDD8BWJtK1f0mwN5hfSb4W1i6Cv+WUEsgIiIDpJV26HOB\n",
       "m4B3A5/DStM3AYe18TkjjG9Dn4QlkF2B+4F5wH7huK0Y4jb0XvHLU7utfkNsDPyXsFHzLgYexZo1\n",
       "ngxLvefPQUm1JyIi+cvlPvRrgC2B64DNgcnAZbTe5n0msAs2utzDwFFYz/c9ga9jPd6/C3y5xeOB\n",
       "fbHPYW0OY228T5ryE4HLqfx95wE/xu48WCEs9Z5PoH6yb3QhkHmuSXNERDJcWI4mh4Q+D9geuBSb\n",
       "OvVB4O8M9Fju0pi/EMb2BBdmtGs0Cc64902lktwbJf5Grz1PdxcFTw1Yj3+HLkqL5tA5LppD57ho\n",
       "uYzl/h1gNvAZ7F7x5YDPdh2a9LP94eHzgX1aT+YQxsh/DhtIqAO+BEyneeJfg/oXCMuBf4bWmgjq\n",
       "vfaMmg5EZNC0UsqdhLWp9hOV0KUOPxG75bLdmoHs+hTgKbq6KCg9V/hXFZGU5NKGfjfwW+Bs4CL6\n",
       "45YxJXQpkJ9M900H0PxCYA9gJaxW48Tw+uKwPF/jea1tL6o2QSQJuST06cCbgHdhM6xdgCX3S7uN\n",
       "rgvqFFc8h85th3wJm2q4WeI/GMbWDLfw3o0NgTwlLMtUPdbbNoGlE36txN/s9W621Xm9b2YadOjf\n",
       "ctEcOsdFceTYKS5rFnACsD/WOz0WldCL59B/0IJ12vlw3DEmYgm+VuJv58Kg3W2tvO7J5cKgq21H\n",
       "wQWbw14PYbNELsBuyayzqLajQw79XhQtlxI62B9rX2zs9SuwEvp53UTWJSV0GQJ+JnAKcGhnybzf\n",
       "+Un07gKi3rYRrLYErGljIVYYqbVMwH5bltAw6be15HWsfo7pS8C6wLPYnVBPIXn7KpQOIIeEPh+7\n",
       "F/1srLp9YdehdU8JXURa4C/ExrxooRbEl7CkPoH6Sb+dJa/j5HmsIo6zKnbxBHbRNIQXp9HNhtIy\n",
       "5JD3Vmi+S8+pWqx4LnYAiXCxAxhufiacfVGoDZFC+AvhYg9+ns5zUfyFDHHe88Ao+jEskosdQCJc\n",
       "7AAS4GIHMNx00VQwByscy5AndBERkVQ0zXvNptAUERGRAdDK0K9TsfnLRzL7e+CYgmKS/uDQbSi9\n",
       "4NB5LppD57hoDp3j6FpJ6L/Aei1eifVgFBERkQF0Q+wAalAbuoiIpCSXNvS/YPOg95tR1HtVRESG\n",
       "m8PyXS5uAl4AbgGuD8t1eR28QyqhF8/FDiARLnYACXCxA0iAix1AAprmvVba0PesOphGaBORzoz+\n",
       "e4SxWiOWFbHtI9zKXDbkcWweimex37AJ4TH7vNa2bl8v4pj9FvMIdzCd9XgBuAMbDlbytU4rZfRW\n",
       "k/OWwKuxpH4pcG2nUeVEQ79KfxqlhI0jPrXGUr39o8Aa2GQip2CTiRSd4GJvg/rjibe6rZ19dwBW\n",
       "DJ97L/C3sJ+nMm67r7Ot29eLOGY/xvwtbCZOgD8Cn0by9m1G2Zomea+VEvrhwCHA+eFgPwK+g13t\n",
       "ivQPS6aTaZxEG21vZ99625fBEvNzmaV6vbxtc2DlEP2RwMW0l7QWt7hf/2wbZUmdv14xRhk/lvuo\n",
       "xhnP3SgPhWdXAO/QOS5A5Rw31EpC/wDwCuCZsH4sdpWrhD7cHO3eVzrKJOIk0ez2F6mdQOsl1lrb\n",
       "n2pz/+z251tOWqNcyJ3sybpKNgXan39yPi9jH53fwugcF29/bOrfhlqptr4e2B5rewKYBswDNus4\n",
       "tO6pyj1P1q65JrAesD7wEW5nHdbnOeAqrMq0leQ6Aft30m4CzWv7YkYHqP1ulJn6IewJhwY9KZpD\n",
       "57houcyH/jHgICpV7m8FzgC+1l1sXVFCb9coy2IJu5y0s89HgMexDi23AzuHbWC3LX6J1hLri4zq\n",
       "DgQRkQLkktABtgF2otIp7uru4uqaBz6HXRGORY2kX1j78aqMT9jZx1nY3Pa3U0nc5cc7GWVR5lhq\n",
       "dxQR6Q8uLEfTRUJfHmtLnF21b7kE9njH4XUvzRL6KFOwknOtUvZ6wCLGJ+vs8/vaaNtVVXDvOHRR\n",
       "WjSHznHRHDrHRWua9xp1ijsTeCPWhlqrGnXdzuOSmqyUPZv6pexVsVtvsqXry6mUsp/MKY4ngGM4\n",
       "R8lcRGRQDGopd3BL6NYTfG2WLl2XH0vUrha/A7ibUV6MELWIiMSVSxv6n4BdW9jWS/2d0EdZnvql\n",
       "7LWAh6iftB9XxzIREanSVZX7NGBZbOCL2Znty2O3OKXLbvNag9oJez3svGXbsG/ApqG9A5jPKIsj\n",
       "RN0uh9rEesGh81w0h85x0Rw6x9E1SuiHYqPErYHNhV72NHBSkUH1BbvNa11qJ+0R7Cb/bOn6N5n1\n",
       "h1TKFhGRXmql2vqjwIlFB9Km7qvcrQPaKtQvZc/GbvOqVS1+J6P/HjlPRESkaF1VuWcPMovKsHOz\n",
       "gP2wAfn7m93mtQ71k/azjL/F6xLg9LDt/oEadUxERJLWSin3WmCLqm3XYDOwxWIDy5QY42iuo37C\n",
       "Xg27zatWKfuO3G7zGk4OtYn1gkPnuWgOneOiOXSOi+JocWCZVkroE8JSHpRkIjajVVyj/BfwX1Ru\n",
       "8yon6iuAs8P6PYzyQrQYRUREujMWlqOb7dhKCf147L7pU8L+hwJ3A0d0HF73fJjs/RfA3uqAJiIi\n",
       "Qy6X27UnAh8Czg3LoWFbTJ5R5jHKzMhxiIiI9MLQFly9knnhXOwAEuFiB5AAFzuABLjYASSgaUJv\n",
       "pQ19J6zufiSzv8c6ncWjSUNERETacjM2leaqwEqZJaahrXoQERGpIZe89/c8DpIzJXQREUlJ07w3\n",
       "oYWDXAwcB+wAbJ1ZZLi52AEkwsUOIAEudgAJcLEDkNba0F+JXRlsW7X9NfmHIyIiIilRlbuIiKQk\n",
       "l17uR1PXPbbNAAAWtElEQVS5oT17wGM6DCovo1RG0BERERlGjhabNFppQ38mLAux4V/fgN3CFtso\n",
       "SuZFcrEDSISLHUACXOwAEuBiBzDExiCMjdpEKyX046vWjwN+3148IiIi0m9mA7dFjkFt6CIikpJc\n",
       "2tCvzzyfAKxC/PZzERERadG64XEdrM18BFiLfpg6VSX0XnCxA0iEix1AAlzsABLgYgeQgK4Gljk3\n",
       "PH4PmB+We0Hzi4uIiPSbRnOrXgOcg02d+n9V+/qwLZZc5oUVEREZEE3zXqMS+ruAl7C5z2cAy2WW\n",
       "GTkFKCIiIj3yhtgB1KA29OK52AEkwsUOIAEudgAJcLEDSEAuk7NcmEMgIiIiIktRCV1ERFKSSwld\n",
       "RERE+lwrCX068FngO2F9Q+BNhUUk/cLFDiARLnYACXCxA0iAix2AtJbQTweeB14V1u8HvlhYRCIi\n",
       "IlKIK8Pj1Zlt18YIJENt6CIikpJc2tAXA9My6+uHbSIiIjJAdgcuAR4BfgLcBbwmakR2pTKK2m2K\n",
       "5GIHkAgXO4AEuNgBJMDFDmCIOSzf5VYzvRLWEe5NwMp5HbQLqnIvnosdQCJc7AAS4GIHkAAXO4AE\n",
       "5JL3LgD2x3q79wsldBERSUkuec8BJ2NV7ecCbwem5nHgLiihi4hISnLNe5OA3YCfAk/leeAOKKEX\n",
       "z8UOIBEudgAJcLEDSICLHUACmua9SS0eaBrwZuCdwNbA97sISkRERCL4KVbdfgrWu31i3HAAldBF\n",
       "RCQtueS9PeiPJJ6lhC4iIinpamCZXcPjcsBbgH3C8rbwKMPNxQ4gES52AAlwsQNIgIsdgDRuQ98Z\n",
       "+BOwF7WvDM4vJCIREREpxHotbuslVbmLiEhKcsl7V9XYdmWNbb2khC4iIinp6ra1TYBNgZlYm3kp\n",
       "HHB54g8sI8VzwFjkGFLg0HkumkPnuGgOnePoGiX0uVj7+Qrhsexp4JAigxIREZH87RA7gBpU5S4i\n",
       "IinJJe/9AKt2L5sFfC+PA3dBCV1ERFKSS967psVtvaSEXjwXO4BEuNgBJMDFDiABLnYACehqYJmy\n",
       "EjA7sz6b/hs5TkRERJp4L3Az8HngC+H5e6NGpBK6iIikpWneK7V4oJdhE7MAXATc2GlEOfG0HruI\n",
       "iMiga5r3WqlyB6tmfwY4CXgEWLe7uGQAuNgBJMLFDiABLnYACXCxA5DWEvoo8AngU2F9GeBHRQUk\n",
       "IiIixbgWS/xXZ7ZdV+DnTQeuAN7YYB+1oYuISEpy6eW+GFiSWZ/ecTit+QRwdsGfISIiMlRaSejn\n",
       "AKdgg8t8EJtS9bSC4tkN63D3SEHHl9a52AEkwsUOIAEudgAJcLEDkMZjuZcdB+yOjeE+F/gs8Ic2\n",
       "PuN7WPX5w8Bmme2vB76O3dN+GvAVYBesBmBT4FngQlS9LiIi0hdeDWwFXJ/ZNhG4DRgBJmMjz22S\n",
       "ef1A4A0NjqkkLyIiKekq710eHhdipfPs8hQwH/hwi8caYXxC3wH4bWb9k2FplRK6iIikpKv50HcM\n",
       "j8vVeX1F4C/AN9sMCmBN4J7M+r3AK9o8xhnYRQXAE1gpfyysu/Co9c7Xt8SaRPolnmFdLz/vl3iG\n",
       "cf0/0e9Dw/UJwEtWiJu8EbxmWZh0NcwDJr8RdpoCk863O50mfwBeMRkmngw3AJPPhy/8E+Z8Fu4D\n",
       "jv8UrAfw5VCI+1RoatV6e+sAf4bNHoVV5sImv6K5Vkdb2xqrOl+C/dGvCtvXAO5v4f0jwAVUAn0b\n",
       "1oZenlf9ACyhf7TFeDRSXPEclf/wUhyHznPRHDmfY2+/P5OwJsN6S7PX83pPHu+bBLwEvNDi8mLm\n",
       "+VZjMNvZqXmASn6Q/OxQsgHeGua9VjrFHQW8Azg/HOx04FxsbPdWknkt9wFzMutzsFK69I+x2AEk\n",
       "Yix2AIPEW/KZjtUclpdG63thtYkvAZeFw+SRLJslwBcbvNZqoiwvz2LNnO2+r63PK3XYlOnhQgd7\n",
       "YuOH7F6yGlPJkbcO4ns226+VUu4twObAc2F9GjbYzNw24hlhfAl9EjbJy67YRcE8YD/gphaPpxK6\n",
       "SB/z1vE1m1jbScKN1idi/XoWYsNRL6yzXn5+MLB+CGse8A26T7AvAC+Wxo/PkSxvtzSfAhyqZF4M\n",
       "DzNLsIAcSuj3YUm8nNCn0l5p+kzsdrQVsXbzo7BS/keA32H/Qb9L68m8bBQr3Yy1+T5pjUPnthcc\n",
       "Ec+zt7EolqW1xNpOEl6GSlKtlWir1x9rcd/F7ZQkPew4Bus7Kz3uoYSTv3BOT0bntiiu1OJ9/o2y\n",
       "/YnhcQ6wPfD7sL4bdqW7d6fR5UAl9OI5lNB7wdHCeQ5tttNoP7E223casIjWE2+j0nB2/dlOq3Dz\n",
       "5GHmT+H8d8I+SuaFcuj3omhN816jFw+qOkD18+93GVw3lNBl4HiYAawVljnAh4BV7SUux0q19ZLy\n",
       "dGwY5m4TbfX6IlUdiwyErhJ62TRgg3Cw26hUvcekhC59I5SeZ1JJ1vWWSViz071heQ2wdjjMFcBX\n",
       "qZ94nylZJywRSVPTvNeoDX0y8EXgfcDdYdvaWPv3p7GOITK8HKpCKyfrFWmerF+ikqjvxRL3X6u2\n",
       "PZmthvZw4Ris7dQ7uGgO/VsumkPnOLpGCf04rLpvXWx0OIDlgf8FjgcOLza0pkZRpzjpQugQtjK1\n",
       "E/Sc8LgmdttQOUmXk/Mlmef3ley2onbt/7DdDqr2XRGpx5FDp7jbsFvTqtvXJmK3nG3QQWB5UZW7\n",
       "NBRum1qV2km6vKwBPMn4UnT1cl/JqrxFRGLqqsp9CbU7y7xUZ7tIT3j7d7s6Syfo7LIaditUdYK+\n",
       "hvHJuh/6hIiIdK1RQr8Jm/Wsujf7e4B/FRaR9AtHhOYMD1OwknOj9uqVsel4q5P1PCpV4w+U4Ple\n",
       "x98Bh5qNiubQOS6aQ+c4ukYJ/cNY+977gCvDtm2wQShi3oMuA8rbHRNrUj9RzwFmYeNBZxP1fGzY\n",
       "znIb9oMlG8FLRESCZu3QJeC1wMuw+vsbgT8VHVQLPPA51Cmub3i7T7pex7LyMgMbebC6N3h2/WHd\n",
       "niUi8m8uLEeTw33o/Uid4nrI290N9ZJ0eSkPCVwrSZeXRzWIiYhIR3IZWKYfKaEXxFv79fl/hE1f\n",
       "Z+fYY7d31UvS5eXxfhjqcwA5VMtUNIfOcdEcOsdF66qXuyTCW7+It2KdILcHnptk1eMAP8fuk1ay\n",
       "FhGR3Cm5dMlDycOrPZzm4XEPv/Owv4dlPVzowXuYF6ZGFBGRuIY27w3tFyuah3U9HO3hdg//9PAJ\n",
       "bz3Ps/vM9HC2krmISN8Y2rznsaFfXdwwBoOH5T2838OfPTzi4UQP2/rG7TGuV/ElzsUOIAEudgAJ\n",
       "cLEDGGIOy3dDndClAQ8TPezu4ccenvDwcw97e5uisxWuyPjk31zsABLgYgeQABc7gAQMbd4b2i/W\n",
       "LQ+beviKh/s8/MPDRz2sFDsuERHpytDmvaH9Yp3wsKKHj3i4wsP9Hr7qbTAgEREZDkOb94b2i7XK\n",
       "wzIe3uLh/FCl/hMPe/j8bkV0OR1HGnOxA0iAix1AAlzsABLQNO/pPvQBEjqxbY3dL/4ubBrb7wMH\n",
       "l2waUBERkYGSVAndw+oePu7hBg93eBj1sH7suEREpGeGNu8N7Rcr8zDNw7s8/MbDAg/f9bCzt2FY\n",
       "RUQkLUOb94byPvQwettOHr4TRm/7vYd3h6FZe81F+MwUudgBJMDFDiABLnYAQ8yh+9AHh4cRD0d5\n",
       "uM3DjR6OrB69LQIX+fNT4WIHkAAXO4AEuNgBJGCo8l7WwH8xDzM8vM/DmIdHPZzkYbsmo7eJiEia\n",
       "Bj7v1TOQXyyM3rabhx+FW81+4WEfD1NixyYiIn1tIPNeKwbqi3nY2MOXPdzr4UoPh3lYOXZcTbjY\n",
       "ASTCxQ4gAS52AAlwsQNIgO5Dj8XDiti94u8F5gA/Bl5fghuiBiYiItJH+rKE7mGyhzd7OC9UqZ/p\n",
       "Yc8cR28TEZE09WXey0PffLFwq9lWHr7u4SEPl3k4RHOJi4hIjvom7+Ut+hcLo7f9t4frPcz3cIyH\n",
       "DWLHlSMXO4BEuNgBJMDFDiABLnYACRjqNvRRYCwsPeFhKvAWbCz1HYCfAR8BLi3Bkl7FISIiyXAM\n",
       "+QVTz0rooUp9Rw+nhtHb/uDhAA/TexWDiIgkL3rNdFEK/2Jh9LbPerjVw788fMpbb3UREZFeU0Jv\n",
       "86AzPBzk4eIwets3PWyf6OhtLnYAiXCxA0iAix1AAlzsABIw1G3oufAwEXgNdr/4m4E/AycBvyrB\n",
       "4pixiYiIDLuuS+geNvLwJQ/3eLjKw+EeVskjOBERkZypyr3qTbM9fMjD3zw84OF4D5vlHZyIiEjO\n",
       "lNDD6G17eTg3jN52loc3aPS2plzsABLhYgeQABc7gAS42AEkIN02dA9bYveL7w/cBnwf+EAJnoga\n",
       "mIiIiPxbzSsVD6t5OMLDtR7u8vB5Dxv2OjgREZGcDX+Vu4epHt7p4dceFng43YPzMCFmgCIiIjka\n",
       "3oS+OZz2Q/ilh8c8/NHDezR6W65c7AAS4WIHkAAXO4AEuNgBDDGHDXU+vAndw0IPn9PobYVxsQNI\n",
       "hIsdQAJc7AAS4GIHkIChTujew9mxAxEREemBoU7o8zTnuIiIJGKoE7qSebFc7AAS4WIHkAAXO4AE\n",
       "uNgBJKBpQh/YnuC6n1xERGTwDW3Vg4iISA3DW0IXERGRCiV0qcfFDiARLnYACXCxA0iAix2AKKGL\n",
       "iIhIRGpDFxGRlKgNXUREJAVK6FKPix1AIlzsABLgYgeQABc7AFFCFxERkYjUhi4iIilRG7qIiEgK\n",
       "lNClHhc7gES42AEkwMUOIAEudgAy2Al9FP0jEhGR4eawfDe01IYuIiIpURu6iIhICpTQpR4XO4BE\n",
       "uNgBJMDFDiABLnYAooQuIiIiEakNXUREUqI2dBERkRQooUs9LnYAiXCxA0iAix1AAlzsAEQJXURE\n",
       "RCJSG7qIiKREbegiIiIpUEKXelzsABLhYgeQABc7gAS42AGIErqIiIhEpDZ0ERFJidrQRUREUqCE\n",
       "LvW42AEkwsUOIAEudgAJcLEDECV0ERERiUht6CIikhK1oYuIiKRACV3qcbEDSISLHUACXOwAEuBi\n",
       "ByBK6CIiIhKR2tBFRCQlA9eGvjFwMvBT4P2RYxEREZEuTcCSej0qoRfPxQ4gES52AAlwsQNIgIsd\n",
       "QAIGroQOsBfwa+Cs2IEkbsvYASRC57l4OsfF0znuA71I6N8DHgKur9r+euBfwK3AkZntFwB7Agf2\n",
       "IDapb2bsABKh81w8nePi6Rz3gUk9+IzTgROBH2S2TQROAl4H3AdcAfwSWAXYB5gKXNyD2ERERIZC\n",
       "LxL6pcBI1bbtgduA+WH9LOAtwLHAJT2ISZobiR1AIkZiB5CAkdgBJGAkdgDSm4Rey5rAPZn1e4FX\n",
       "tPH+21HHuF5Qs0dv6DwXT+e4eDrHxbq92Q6xEnq3yXiDXKIQEREZErF6ud8HzMmsz8FK6SIiItLH\n",
       "Rhjfy30SVn0wAiwDXANs0vOoREREpGVnAvcDi7F284PD9j2Bm7HOcZ9q8Vj1bnWT/NS7zVDyMwe7\n",
       "i+OfwA3AYXHDGUpTgb9jhYUbgS/HDWeoTQSuxm45lmLMB67DzvO8uKHkYyKW/EeAyahUX5RXA1uh\n",
       "hF6k1agMxLEcdmGrf8v5WzY8TgL+BuwUMZZh9jHgx9itx1KMO4HZzXbqx5Hi6sne6vYClVvdJF+X\n",
       "AgtiBzHkHsQuSAEWAjcBa8QLZ2gtCo/LYAWCxyPGMqzWAt4AnAaUIscy7Jqe30FK6LVudVszUiwi\n",
       "eRnBakT+HjmOYTQBu3B6CGviuDFuOEPpa8DHgSWxAxlyHvgj8A/gkHo7DVJC133nMmyWA84FDsdK\n",
       "6pKvJVjTxlrAzmgCkby9CXgYa9dV6bxYO2IX/nsCH8aaRpcySAldt7rJMJkMnAf8CPh55FiG3ZPY\n",
       "hE/bxg5kyLwKeDPWvnsm8FrGD/Et+XkgPD4C/Axrgh5outWtd0ZQp7gilbAfvq/FDmSIrURlwpBp\n",
       "wJ+BXeOFM/R2Qb3ci7IsMCM8nw5cDuweL5z8dHKrm7Sn3m2Gkp+dsOrga7DqyquxWzIlP5sBV2Hn\n",
       "+DqsnVeKswvq5V6UdbF/x9dgt7kq94mIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIjEUR6GdR1g\n",
       "v5yP/emq9ctzPn7eDgJOzPmYx9P5MKy7ADt0+fkj5D9w0hRs8JpBGn1Thoz+8YksrTxvwLrA/m2+\n",
       "d1KT16sHhdixzeP3WrdzKFT/xszAxlUf6/B4r8GGHG1Hs79JHhZjMxW+tQefJSIiLXo6PP4NeAIb\n",
       "ye1wLDkdB8wDrgU+GPZz2I/5L4B/hW0/x2ZGuoHK7EjHAi+G4/0wbCvXBpTCsa/HRjZ7Z+bYY8A5\n",
       "2DSrP6oT81g4/t+x0RTLc38fxPgS9q+whFr+7K+GGP8AvBK4BBtiea+wz4Hhu1wM3AIclTnWAeHz\n",
       "rga+TSV5L8RK4dewdPI9APhSZn1XbES364DvYsM6g02TXJ7/edvw+etgY1rfGz5zR2BlbIKbeWEp\n",
       "f94odo4vw+bqzhqhUkKfCpwePv8qKjUH9bYfhP2da52PV2B/JxER6RPlhF49PvUHgf8Jz6cAV2DJ\n",
       "wWFJbJ3MvrPC4zQseZTXn2a88vrbgN9jiX0V4C5gtXDsJ7D50kvAX6hdqr8YuyAAGyL5D+H5QYxP\n",
       "6BdQSehLgD3C8/PD508ENscSZvn994f4p4bvsg02j8Ivw/4A3wLekznu22vECHAysE94PhW4G9gg\n",
       "rH8fu3ACm/CjOqEDHA18LHO8n1A5H2tTmSJ1FPv7TKkRwwiVhH4ENpc3wEbYeZ/SYPtB1D4fhNfv\n",
       "q/WlRXqhF1VRIoOqekrI3bExwsvJanksGb2IlQ7vyux7OJXq1znAhmGfenbCkpPHpqS8BNgOeCq8\n",
       "7/6w3zVYQqrV9n5+eLwq7NPM88DvwvPrgeeAl7ASe/b9vwcWZD5jp7DfNlgtBNiFy4Ph+UvYTHK1\n",
       "lEvZYInyTmxuBrCE/mHgG03izv5dXsf4SZpmYBNYeOyCY3GTY+0InBCe34z9Dec22O6pfT6uDJ81\n",
       "AUv0zzX5XJHcKaGLtOcjVEq/ZQ54pmp9V6wK+zmsdDm1yXE9S19AlNuvs0npJer/v11cY58XGd+O\n",
       "nY3jhczzJViCLz+v9xmlTFzfZ+lOfmDfuVHbe72+O9ljZ+NudO5KWFX38zVeW9TgfdXHaGd79T5L\n",
       "qta77Xcg0hF1ihOp72kq0xaClWb/g0qym4tNbVhteawE9xywMZbYy16gdrK8FNgX+z+5MlYtPo/W\n",
       "kkoj84Etw3Hm0Nk8yrthVczTgLdg7dJ/wmoqVg77zMaqvJspNyWAlXxHgPXD+nuwmoly3OX5y9+W\n",
       "eX/13+T3wGGZ9S1aiCHrUuDd4flc7Dv8q8H2Ekufj3JtyRTsYqpZrYBIIZTQRZZWLmFdi/1AX4NV\n",
       "oZ+GtdFehVVRn4wlZ8/4Utlvw/YbgS8Df828dirW0arcKa78vp+F7ddiyfLjWNV79bGpsd7oO1yG\n",
       "VWvfiFVlX9ngOL7Gc49dWJwXYjsX+/43AZ/BEuq14XG1GsepdhmVRP0cNj3vOdh3fxHrXAfwuRDv\n",
       "FWF7+ZgXAHtT6RR3WDjetcA/gUMbfL9a3/Vb2O/gdcBZWCfAFxpsr3c+ALZi/N9aRERkaC2HJelB\n",
       "dRD178v/EnaxIRKFSugi0ksLsT4Fr4kdSIdq1ZiAVbfvhN3iJyIiIiIiIiIiIiIiIiIiIiIiIiIi\n",
       "IiIiIiIiIjLo/j9CXq55bFT57AAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa744007310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Global objective: 1.395704e+05\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAgYAAAFRCAYAAAAPXGVyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm4HFWdxvFvJ4EkrEkAZUngAoIjbmwCKshBZHFDRGcI\n",
       "jrLoCIKCI4gObmzuCwo6gA5iFGVV3AaGRSGOy0CQbChLEvYEZIkGZJEtv/njd4que9P3dt97q/v0\n",
       "7fN+nqeerqquqn67CPecPnXqFIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiISEZmAae2uO1K\n",
       "YIsRfs5dwJ4j3FdExrBxqQOISD8zgeuBx4AHgOuAI0vvW5zarVOfIyJdRhUDke5xHPAN4EvAC+P0\n",
       "AeC1wGql7WqdjzZm1ND5ERGRHrAu3krw9ibbfY/+lxLeDywGlgM/BzYqvbcSOBq4HXgI+DL1QnNL\n",
       "4Brg4fjeD2OGwp3A6wfJMBn4Gn65YQXwW2BSfG8/4M/A34BrgX8q7XcXXvlZEPe7EJgY37sFeHNp\n",
       "2wkx17ZxeRfgD/G484HdS9vOBj4L/B54Ar98sjdwW/yc/wR+A7yvtM97gZuBvwJXAJuW3lsJHAEs\n",
       "ip/3rQHf//1x30fjd90urt8Y+AnwIHAHfu5FRERGZF/gGZq34pUrBq+nXniuDpyBF4CFlcCvgSnA\n",
       "DLygLArHLfE+BKsB68f9vl7ad6iKwX/ilYqNYt5d4udvjVdu9gTGA8fjlZYJpWNeB2wITMUL1yPi\n",
       "e5/GKyeFN+OFLsAmeAVm37j8hri8XlyejVc6XhLzbAA8Auwfl48BnsYrAwBvi7leHN//JF6pKKwE\n",
       "fgGsg5+3B4F94nv/DCwFdojLW+KVinHAjcCn4vfdHK+Q7b3K2RMREWnBu4H7B6wrfiE/Aewa130P\n",
       "OCXOfxf4Ymn7NfECsPj1u5L+BdORwK8G+fz9gbml5cEqBuNinpc3eO/TeCtAoYYXoq8rHfNdpfe/\n",
       "BJwV51+E/wIvWh5+hBeyAB8HfjDgs64ADo7z1wInld47mP4FPcA91CsG/1OaL77T43glAPy8vab0\n",
       "/kXAx+L8lTRuCdgZuHvAuhOAcxtsK9LV1MdApDssx3+5l/+ffA3+y3o5jf9f3Yj+hdHjcdtNSuvu\n",
       "Lc3fgzd3g/dfuBAvuB8BzqP+C3wo6+OF9+2D5LmntGzx88t5/lKafxJYK84vwS8n7AesAbwVOD++\n",
       "txn+S/1vpem1eMtDofw9N47fq6y8vBlweulYy+P6wXI+Uco5ncbffbP4ueWMJwAvaLCtSFdTxUCk\n",
       "O/wf8BT+y71V9wF9peU18cJ9WWndpgPmi/c+DzwHvAzvW/AeWvt78DDwD/wXfqM8m5WWa/iv8GUN\n",
       "toVV73q4ADgIb+q/Gb9OD17ZOA+vJBXT2nifiUbHug8vwMs5ysv3AIcPON6a+GWOZu6l8Xe/B28R\n",
       "KR9zHeAtLRxTpKuoYiDSHVYAJwNnAu/AC75xeP+BNUvblXvdXwAcBrwS78T3ebxwK/9q/yj1PgbH\n",
       "4M3i4L+AH8eb7zfB+wO0YiXePH4a3kIwHng13sfgYrxvwOvxvgvH4ZWIPwxyrIF3D1yIX8v/AH4p\n",
       "ofBDvAVh7/h5k4BA/1/45WNdhl/qeBt+vf+D9G9dOBv4BLBNXF4Xb5EYTPmcn4Of0+3juhfhFa45\n",
       "wN/xSw6TY86XATsOcVwREZGm3oWPY/A43untOuDfqN+uWO5jAN55bwneHP4L6pcKwAvxD+FN3w8D\n",
       "X6H+Y2Ab4I94YTYXOJb+FYqhOh9OwjsqLsUrNLOp9w3YH+80uAK/9v+SIY55Iqv2HfgV3k9iYBP8\n",
       "TvFzluPn5ZfUWwGupX+fAfAKRvmuhD8A/1p6/93AQvwyyj14gV94jv4DQzU657fi524hXjEDryid\n",
       "j/cV+Wv8zMHOoUiWzsUHaLmptO5CYF6c7oyvhRPwnsK30r/D1A7xGIvx64KFifivn8X4H89yE+Yh\n",
       "+K1Gi6h3UBKRPI3DL2fs3mxDEWmv3fD7e28a5P2vUu91vA1+b/Jq+DXTJdSb7ubgvxYALqd+y9JR\n",
       "eLMrwIHUe0NPw38hTYlTMS8i+dgb//9+Iv53Zhn1MRNEJKE+GlcManjz3ZZx+QT8lqTCFfi90Rvh\n",
       "PZULM/Hrg8U2O8f5YjAU8M5LZ5X2OTvuJyL5OBG/fPIo3rHzVWnjiIwdE5pv0ha74ZcZitt+NqZ/\n",
       "j+CleMeiZ+h/m9Ey6h2ONqF+i9Kz+LXC9Vj1VqWl9O+kJCK97+Q4icgwpbor4SDq9yiLiIhIl0jR\n",
       "YjABHw9++9K6ZdRHHQPvbbw0rp/eYH2xz6b4PcsT8FuOlsf1obTPDHz41kaW0b8Xt4iISC+7ncZj\n",
       "cXRMH6v2MdgXv72orOh8uDr1McaLzofX430Jaqza+bDoSzCT/p0P78A7Hk0tzTeix8q230mpA2Tg\n",
       "pNQBMnBS6gCZOCl1gAwkLfcuwH/NP4X3BTgsrv8ePurYQJ/A70a4lfoDS6B+u+IS/CExhYn4gCrF\n",
       "7Yp9pfcOi+sX47cuDkYVg/ablTpABmalDpCBWakDZGJW6gAZULnXhE5Q+81KHSADs1IHyMCs1AEy\n",
       "MSt1gAyo3GtCJ6j9QuoAGQipA2QgpA6QiZA6QAZU7jWhEyQiIjlpWu7pIUrSbiF1gAyE1AEyEFIH\n",
       "yERIHUBUMRARERF5ni4liIhITnQpQURERFqnioG0W0gdIAMhdYAMhNQBMhFSBxBVDAC7HEyPZRYR\n",
       "EREMzMAuSh1ERESkA9S3rgkD+6NaDEREJBPqfNiCq6G2InWIHhZSB8hASB0gAyF1gEyE1AFEFQOA\n",
       "w8H06GURERHBwL4E9t3UQURERDpAfQyaMLB1wf4C9srUYURERNpMFYMm4gmyD4JdDVZLG6cnhdQB\n",
       "MhBSB8hASB0gEyF1gAyo82GLvgPMAN6YOoiIiIikU6o52VvBbgabkC6OiIhIW+lSQhPlikEN7Bqw\n",
       "D6SLIyIi0laqGDQx4ATZdmD3g62TJk5PCqkDZCCkDpCBkDpAJkLqABlQH4Phqc0DrgT+I3USERER\n",
       "6bwGNSfbBGw52KadjyMiItJWupTQxCAnyE4B+2Fno4iIiLSdKgZNDFYxWAvsPrBXdTZOTwqpA2Qg\n",
       "pA6QgZA6QCZC6gAZUB+Dkak9BnwG+JoGPRIREcnHEDUnGw+2EOztnYsjIiLSVrqU0ESTE2R7gy0G\n",
       "W70zcURERNpKFYMmWjhB9j9gH25/lJ4VUgfIQEgdIAMhdYBMhNQBMqA+BhU4Hvgk2NTUQURERKS9\n",
       "WmxSse+Afa29UURERNpOlxKaaLVisGEc9GjL9sYRERFpK1UMmhjGCbJPgV3Svig9K6QOkIGQOkAG\n",
       "QuoAmQipA2QgaR+Dc4EHgJsGrD8auAX4E/CluK4PeBKYF6czS9vvEI+xGDi9tH4icFFcfx2wWem9\n",
       "Q4BFcTp41N/EnQbsAvbaio4nIiKSld2A7ehfMdgDuBpYLS5vEF/7WLUCUZgD7BTnLwf2jfNHUa9A\n",
       "HAhcGOenAbcDU+JUzDcyzCYVOxjsOg16JCIiY1TySwl99C/wLwZe38J2hY3w1oXCTODsOH8FsHOc\n",
       "nwA8FOcPAs4q7XN23K+R4VYMxoHdCHbg8PYTERHpCl13u+JWwOvwpv/ZwI6l9zbHLyPMBnaN6zYB\n",
       "lpa2WRbXFe/dG+efBR4B1gM2HrDP0tI+o1RbCRwHfBFsUjXH7HkhdYAMhNQBMhBSB8hESB1AOl8x\n",
       "mABMBXbBxwe4OK6/D5iBX3o4FjgfWLvD2VpUmw0sxPtKiIiI9JQJHf68pcClcf4GYCX+K3858HRc\n",
       "PxfvF7AV3kIwvbT/dOqtAcuATfFKxQRg3XicZfSvdc4Arhki0yzgrji/ApiPt1pQOs7A5Y8Bv4Nt\n",
       "F8H8R1rYPvdlmryvZS13+/LsLsvTy8s0eV/Lw1su5vvoEn307ztwBHBynN8auCfOrw+Mj/Nb4IV/\n",
       "0WHwerwvQY1VOx8WfQlm0r/z4R1x/6ml+UZG0QnDvumTiIjImJG08+EF+K/5p/C+AIfhdyOch1cW\n",
       "bqReozkAv31xXlz/5tJxitsVlwBnlNZPxC9FFLcr9pXeOyyuX4zfujiY0VQM1gd7COzFIz9GFkLq\n",
       "ABkIqQNkIKQOkImQOkAGkt+V0O1GeYLseLCfVxOlZ4XUATIQUgfIQEgdIBMhdYAMqGLQxGgrBpPA\n",
       "7gQLlaQRERFpL1UMmqjgBNmBcWyDTt/hISIiMlyqGDRRRcWgBvZ/PiqiNBBSB8hASB0gAyF1gEyE\n",
       "1AEy0HUDHPWgmuGDHn0ObI3UaURERGTkKmxSsYv9CYwiIiJdS5cSmqiyYrAF2MNgG1Z3TBERkUqp\n",
       "YtBExSfIvgr2nWqPOeaF1AEyEFIHyEBIHSATIXWADKiPQYd9Dngb2MtSBxEREZHha0OTih0DdkX1\n",
       "xxURERk1XUpooh0Vg9XBFoHtU/2xRURERkUVgybadIJsf7CbwMY337bnhdQBMhBSB8hASB0gEyF1\n",
       "gAyoj0EiPwf+Crw3dRARERFpXRubVGxHsPvA1m7fZ4iIiAyLLiU00eYTZOeBndrezxAREWmZKgZN\n",
       "tLtiMANsOdj09n5OVwupA2QgpA6QgZA6QCZC6gAZUB+DtGr3Amfj4xuIiIhIl+tAk4qtDXY/2Pbt\n",
       "/ywREZEh6VJCEx06QXYE2LX+iGYREZFkVDFoolMVgwlgfwbbrzOf11VC6gAZCKkDZCCkDpCJkDpA\n",
       "BtTHoDvUngU+CnwFbLXUaURERKSxDjapWA3sKrAPde4zRURE+tGlhCY6fILsFWAPgE3p7OeKiIgA\n",
       "qhg0leAE2TlgX+785yYTUgfIQEgdIAMhdYBMhNQBMqA+Bl3o08D7wDZPHURERET6S9SkYieCXZjm\n",
       "s0VEJGO6lNBEqorBmmBLwXZJ8/kiIpIpVQyaSHiC7DCwP2Qw6FFIHSADIXWADITUATIRUgfIgPoY\n",
       "dLEfAGsA70wdRERERFziJhXbE+x2sIlpc4iISCZ0KaGJLjhB9t9gx6VOISIiWeiCcq+7dcEJspeA\n",
       "PQS2XuokbRJSB8hASB0gAyF1gEyE1AEykLSPwbnAA8BNA9YfDdwC/An4Umn9CcBi4FZg79L6HeIx\n",
       "FgOnl9ZPBC6K668DNiu9dwiwKE4Hj/J7tFntFuASfHwDERGRnrUbsB39KwZ7AFcDxYOENoiv2wDz\n",
       "4/o+YAlQ9NafA+wU5y8H9o3zRwFnxvkDgWJcgGnA7cCUOBXzjXRBiwGAvQDsYbCtUicREZGelrzc\n",
       "66N/xeBi4PUNtjsB+Hhp+QpgF2AjvHWhMBM4u7TNznF+AvBQnD8IOKu0z9lxv0aSn6A6+w+wS1On\n",
       "EBGRntZ1tytuBbwOb/qfDewY128MLC1ttxTYpMH6ZXE98fXeOP8s8Aiw3hDH6nbfALYHe13qIBUL\n",
       "qQNkIKQOkIGQOkAmQuoA0nrFoA94Q5xfA1hnhJ83AZiKtwYcj7cgCAC1fwCfAL4GpvElREQkiQkt\n",
       "bHM48H782v2WwHS8qX7PEXzeUqBoLr8BWAmsj7cEzChtNz1uuyzOD1xPfG9T4L74PdYFlsf1obTP\n",
       "DOCaITLNAu6K8yvwvg6z43JxnA4tr34/XLoWvOUg4Eed//y2LdPkfS1ruduXZ3dZnl5epsn7Wh7e\n",
       "cjHfR4UW4HcAzCutG3inwWD6Bmx7BHBynN8auCfOF50PVwc2xzsMFp0Pr8f7EtRYtfNh0ZdgJv07\n",
       "H96BdzicWppvpIv6GBRsV7C7wSanTiIiIj2nknJvTnwtKgYTgIUt7HcB/mv+KbwvwGH4XQfn4ZWF\n",
       "G+lfo/kEfjfCrcA+pfXF7YpLgDNK6yfilyKK2xX7Su8dFtcvxm9dHEwXVgwA7CdgJ6ROUZGQOkAG\n",
       "QuoAGQipA2QipA6QgUrKva8AnwRuA/YCfgp8rooDd4FurRi8KN6++ILUSSoQUgfIQEgdIAMhdYBM\n",
       "hNQBMtC03GvlyX7jgfdRH3ToSuCcVg4+BhitnYME7OvAJKgdmTqJiIj0jC4u97pDF1dubBrYg2Db\n",
       "pE4iIiI9o5Jy784G0x1VHLgLdHHFAMA+AnZZ6hSjFFIHyEBIHSADIXWATITUATLQtNxr5XbFV5Xm\n",
       "JwHvxAcSkvb7T+CDYG+A2q9ShxERERnM3NQBKtLlLQYA9g6wBWDjUycREZExr5IWgx1KBxqHD2Os\n",
       "QqpzLgX+Hb/t8tzEWURERJgNXBunq4H/Al6cMlCFxkCLAYDtBLYMbK3USUYgpA6QgZA6QAZC6gCZ\n",
       "CKkDZKCSFoMw+hwyOrU5YL8BPgqclDiMiIj0sKHuZTwuvg6sXdTiutPakqizxtD9nLYZ3rfj5VC7\n",
       "L3UaEREZk5qWe+OGeG9tYK342miSjqrdjV/G+WzqJCIiIr1qjPQxKNi6YH8B2zZ1kmEIqQNkIKQO\n",
       "kIGQOkAmQuoAGaikj8FkfEjkbeJ8cdD3jjyXjEztEbBTgK+C7QW1MVaxERGRXvBj4FR8tMND8DsT\n",
       "zhhyj7FjDBasNgHsFrA3p04iIiJjTiXl3vz4WjxqeTXg+ioO3AXGYMUAwN4CdrNXEkRERFrWtNwb\n",
       "qvNh4en4+gjwcmAKsMEoQsnoXQbcD7w/dZAWhNQBMhBSB8hASB0gEyF1AGnN+4FpwO74A5QeAj6Q\n",
       "NFF1xmiLAXgHRPsL2DqpkzQRUgfIQEgdIAMhdYBMhNQBMlBJudfLzdVjuGIAYN8D+0LqFCIiMmZU\n",
       "Uu7dA3wH2JMxMxhQy8Z6xWATsOVx8CMREZFmKin31gQOBH4K3A18C9itigN3gTFeMQCwk8F+lDrF\n",
       "EELqABkIqQNkIKQOkImQOkAGKi/3pgLnAc9VfeBEeqFisFZ8wNJOqZMMIqQOkIGQOkAGQuoAmQip\n",
       "A2SgsnIvAGfhnQ8vBt5R1YET64GKAYC9D+y3YL12qUdERKpVSbl3F/Az4CD82Qm9pFcqBuPBFoId\n",
       "kDqJiIh0tUrKvXWrOEiX6pGKAYDtDbYYbPXUSQYIqQNkIKQOkIGQOkAmQuoAGahkgKNHKggibVe7\n",
       "ClgCHJU6iYiIyFjVQy0GAPZSsAfBpqVOIiIiXanHyr3q9eAJsm+DnZY6hYiIdKWm5V4rvdgn4Xch\n",
       "9FEfBdGAU0Ycq3sYPTdok70QuBnYGWpLUqfBrxnOTpyh1wV0jtstoHPcCQGd53ZrWu610sfg58B+\n",
       "wDPAY3F6fNTRpE1qDwCnAV9MnURERHrTn1IHaKMevJQAYGuA3QO2a+okIiLSVSop974DvKKKA3Wh\n",
       "Hq0YANh7wK7XoEciIlJSSbl3C34ZYRFwU5wWVnHgLtDLFYNxYH8Em5k4SEj8+TkIqQNkIKQOkImQ\n",
       "OkAGKin3+uK0WZyK5WbOBR7AKxKFk4ClwLw47Vv6jCdL688s7bNDPMZi4PTS+onARXH9dTFb4RC8\n",
       "IrMIOHiIjD1cMQCw3cHuBJuUMERI+Nm5CKkDZCCkDpCJkDpABior97YFjgY+BLyyxX12A7ajf8Xg\n",
       "RODYBtv2DdiubA5QPCDocuqViaOoVyAOBC6M89OA24EpcSrmG+nxigGA/QzsY6lTiIhIV6hk5MMP\n",
       "Az8ENgBeGOePaWG/3wJ/a7B+ONe8NwLWxisHAD8A9o/z+wHfj/M/AfaM8/sAVwEr4nQ19cpEjj7m\n",
       "k22QOoiIiHS/VioG/wbsDHwG+DSwC/D+UXzm0cAC4Lv0/yW/OX4ZYTZQ9KbfBL/0UFgW1xXv3Rvn\n",
       "n8WHbl4P2HjAPktL+2Sotgg4H2+tSSEk+tychNQBMhBSB8hESB1A6gMWNbNykPnhOov6wEinAl8D\n",
       "3gfcB8zAWxi2x5/m+NJRfM5wzMKfIAnewjCf+gAbIb6O9eVTgFvg7XPgp/d0+PO37fDn5bhMk/e1\n",
       "rOWxsqy/F+35+xBorW9gy47F70I4CTgZ/7X/kRb37WPwvgNDvXctXkHYCL8ronAQXrkAuAJvvQCv\n",
       "4DwU52cCZ5f2+TbeB6GRDPoYFOyjYL9InUJERJKqrNzbAe9rcAzeobBVffQv/DcqzX8Eb+IGWB8Y\n",
       "H+e3wJv/i8sM1+OXMmqs2vmwqCTMpH/nwzvi/lNL843kVDGYCHYH2B6pk4iISDKjKvfWia/T4rRe\n",
       "nIrlZi7ALxE8jfcFeC/eeXAh3urwM7wzI8AB+AiL84AbgTeXjlPcrrgEOKO0fiJwMfXbFftK7x0W\n",
       "1y/Gb10cTEYVAwD7F7C5PsZBx4QOflauQuoAGQipA2QipA6QgVGVe5fF17uAOxtMvSC3ikEN7A9g\n",
       "Q1WWqhY6+Fm5CqkDZCCkDpCJkDpABjIr94YvwxNkrwa715+nICIimamk3Pt1i+vGogwrBgB2Edin\n",
       "U6cQEZGOG1W5NxnvU7CQer+Cafi1/FtHm6xL5Fox2BxsOdhGzbcdtdCBz8hdSB0gAyF1gEyE1AEy\n",
       "0LTcG2ocgyPwOxE2xjsEFv4OfGt0uSSt2p1g5+LjG4xmsCoREcnQ0akDtFGmLQYANgXsAbCXp04i\n",
       "IiIdU8mzEgwfD6AwFR9DQMa02grgs8BXUycREZGxZUGDdfM7nqI9Mm4xALDVwG4Da+dDpkIbjy0u\n",
       "pA6QgZA6QCZC6gAZqKTFYNyA7cYDq400kXST2jP40xe/CtbqczNERCRzX8VHGNwTeANwCf7wo16Q\n",
       "eYsBxEGPZoMdnjqJiIi0XSXl3njgSODHcTqC+nMNxjpVDACwHcDuB1s7dRIREWkrlXtN6AQ9z34A\n",
       "9tk2HDi04ZjSX0gdIAMhdYBMhNQBMlBJH4NdgavxBxIVz0m4Y3S5pAt9EjgSbEbqICIi0t1uA96I\n",
       "Pwlx/dLUC9Ri0I991lsORESkR1VS7l1fxUG6lCoG/djasa/BDqmTiIhIW1RS7n0R+ArwamD70tQL\n",
       "VDFYhR0e71KoVXTAUNFxZHAhdYAMhNQBMhFSB8jAqJ6VUNglHmjHAev3GEki6XrnAscA+wE/T5xF\n",
       "RESko9Ri0JDtG0dE1EBWIiK9pWm510pz8YnxQLUBBzxlhKG6SfG9ZBV2JfDfUPtm6iQiIlKZpuVe\n",
       "K7crPh6nx4CVwJuAvtEmk653PPApfwrjqIQKssjQQuoAGQipA2QipA4gIzMR+E3qEBXRpYQh2Tlg\n",
       "XxnlQUIVSWRIIXWADITUATIRUgfIQFvKvWnAknYcOAFVDIZkG4EtB9s8dRIREalEJeXeTaXpz8BD\n",
       "wNFVHLgLqGLQlH0G7KLUKUREpBKjKveKX4mb4X0K+oDp9NYjl1UxaMrWBFsK9uoRHiBUmUYaCqkD\n",
       "ZCCkDpCJkDpABkb1rIQfx9dzgbvitBR4ZrSpZCypPQ58CjitwkGPRESkSw31h34+cAn+yOXTBmxr\n",
       "cd1Yp9sVW2LjgBuBL0Dt4tRpRERkxEZ1u+JM4DlgPLA2sFZpWruigDIm1FYCxwFfBJuYOo2IiKT1\n",
       "ptQB2kh9DIbFfgl23DB3Cu1IIv2E1AEyEFIHyERIHSADo+pjULi8giDSG44H/gNsvdRBRERE2kEt\n",
       "BsNm/wl2euoUIiIyIir3mtAJGjbbAOxhsK1TJxERkWGrpNxbE/g08F9xeSvgLVUcuAuoYjAi9nGw\n",
       "n7a4cWhnEgF0jjshpA6QiZA6QAYq6WPwPeBp4DVx+T7gcy3sdy7wAD5iYuEkfCyEeXF6Y+m9E4DF\n",
       "wK3A3qX1O8RjLAbKTdgTgYvi+uvwgZgKhwCL4nRwC1lleE4HtgPbPXUQERHpvBvj67zSugUt7Lcb\n",
       "sB39KwYnAsc22HYbfNyE1fARFpdQv89yDrBTnL8c2DfOHwWcGecPBC6M89OA24EpcSrmG1GLwYjZ\n",
       "QWB/jGMciIjI2FBJi8FTwOTS8pZxXTO/Bf7WYH2jgRXeBlyAj6p4F14x2BnYCB8zYU7c7gfA/nF+\n",
       "P+D7cf4nwJ5xfh/gKmBFnK6mXpmQ6lyIj3PxrtRBRESkOq1UDE4CrsCfk3A+cA3w8VF85tF4i8N3\n",
       "qf+S3xi/xFBYCmzSYP2yuJ74em+cfxZ4BFhviGNJpWqGt/58HmzyEBuGzuTJWkgdIAMhdYBMhNQB\n",
       "BCa0sM1VwFxgl7j8YfwJiyNxFnBKnD8V+BrwvhEeqyqz8FYK8BaG+cDsuBziq5YbLtdWg4vvhH/+\n",
       "CPD5Qbbftnvy9uwyTd7XspbHyrL+XrTn70PAL9NX5pd4c/GaI9i3j/59DAZ77z/iVLgCv5SwIXBL\n",
       "af1BeOWi2KaorEygXlmZCZxd2ufbeB+ERtTHYNRsy3j74gtTJxERkaYqKfcCXhjfjT9x8Z3ApBb3\n",
       "7aN/xWCj0vxH8EsTUO98uDr+uOfbqfdFuB6vJNRYtfNhUUmYSf/Oh3fglymmluYbUcWgEnYa2NnN\n",
       "txMRkcQqLfcmAHsBFwOPtrD9BfitjU/jfQHei3ceXIj3MfgZUP6V+Qm80+GteAfCQnG74hLgjNL6\n",
       "iTFLcbtiX+m9w+L6xfiti4NRxaASNg3sQbCXNngzdDpNhkLqABkIqQNkIqQOkIHKyr3JeHP8T4A7\n",
       "gW9WdeDEVDGojP07WKPnaoROJ8lQSB0gAyF1gEyE1AEyUEm5dzF+GeHbwB74Y5h7hSoGlbHVwRaD\n",
       "7ZU6iYiIDKqScm8feqsyUKaKQaXsALCFYL3670VEZKwb1QBHxYBBa+EDEB0Qp3fEV5GBforf8nlo\n",
       "aV1IkiQvIXWADITUATIRUgeQoccxeB3wa+CtNK5hXNqWRDKG1QzsOOBnYBdB7bHUiUREpHpbtLhu\n",
       "LNKlhLawH4GdnDqFiIisopJyb26DdTc2WDcWqWLQFrYZ2HIwDUUtItJdRtXH4CV4f4Ip9O9bcCit\n",
       "D3AkWardDXwH+Cy6ZtgJIXWADITUATIRUgeQofsYbI33L1g3vhb+Dry/naGkJ3wB+AtcFuBNtwDv\n",
       "gtqKxJlERKQCr04doI10KaGtbD6YxenXqdOIiMjoLiUUjqT/swamAueONJFk5b74eiewJdgVYDuk\n",
       "DCQiIqM3v8V1Y5FaDNrKpsBF1/irrQ52JNgysJ+AbZM6XQ8JqQNkIKQOkImQOkAGKin3FuBPLCxM\n",
       "Y/BHKY81qhi0X+i/aGuAHR8fuvR9sM2TpOotIXWADITUATIRUgfIQCXl3sHAbcCpeC/z2+K6XqCK\n",
       "QTK2DtjonOL3AAAXd0lEQVRJYA+DnQm2cepEIiIZqKzceynwoTj1UhOwKgbJ2fpgX4njHnwZbL3U\n",
       "iUREelhl5d5uwGFxfgOgV5p/VTFov9DaZrYJ2FmxBeFEb1GQFoXUATIQUgfIREgdIAOV3JVwEvAx\n",
       "4IS4vDrww5FnEmmktgxqRwI7AVsCi8E+CjY5cTARERlgAV6BmFdatzBRlqqpxaBr2Uvj3QtLwT7g\n",
       "dzWIiMgoVVLuzYmvRcVgTVQxkI6xV4FdCXY72HvAxqdOJCIyhlVS7h0PfBsfpOZw4DrgmCoO3AVU\n",
       "MWi/UM1hbHew34H9GewAsFo1x+0JIXWADITUATIRUgfIQGXl3t7AV+O0V1UH7QKqGLRfqO5QVgN7\n",
       "E9g8sBvA9lYFAdAf004IqQNkIqQOkAGVe03oBI1JNg7sn8FuBZsN9trUiURExohRlXu/j6+P4U9U\n",
       "LE+PAncBHxzNB3QBVQzGNJsAdhjYXWCXgW2XOpGISJdra7m3Hj4K4limikH7hfZ/hE0E+xDYfWAX\n",
       "g/1T+z+zq4TUATIQUgfIREgdIAOVjGMAsD3wYeDoOA+wHNhjZLlEqlR7CmrfArYCbgR+C3Yu2GaJ\n",
       "g4mI9KTP4A9NOhk4BR/X4NNJE1VHLQY9yaaAnRqHWf4m2IapE4mIdIlKyr1FwKTS8uS4rheoYtDT\n",
       "7AVgp8UKwhfApjXfR0Skp1VyKWEZXhkoTAKWjjSRZCek++jag1A7FtgW7xOzCOxTYGuny9QWIXWA\n",
       "DITUATIRUgeQoSsG34zTI8CfgVlx+lNcJzJG1O6F2uHALsBL8OcwfARsUpMdRUSyM9TgMIfiTQ7F\n",
       "NgPnv9++WB1T/k6SDXs5cCqwA95vZhbUnkkaSUSkMyop9yYDLwdeRv++Br1AfQyyZjuD/QpsCdi7\n",
       "fOAkEZGeNqpybzXgy8DDwNw4PQx8Jb7XzLnAA/gdDQMdB6wEis5gfcCT+IOa5gFnlrbdIR5jMXB6\n",
       "af1E4KK4/jqgfGvaIXgHyUXAwUNkVMWg/ULqAM3Z68H+D2wh2H5jcJjlkDpABkLqAJkIqQNkYFTl\n",
       "3jeAc4ByR611gP+ifwE9mN2A7Vi1YjADuAJ/KFO5YtCoAgH+dMed4vzlwL5x/ijqFYgDgQvj/DTg\n",
       "dmBKnIr5RlQxaL+QOkBrrAb21lg5uB5sz9SJhiGkDpCBkDpAJkLqABkYVbm3hMadE8fH91rRx6oF\n",
       "/iXAK2itYrARcEtpeSZwdpy/Atg5zk8AHorzBwFnlfY5O+7XiCoGMoCNA5sJtgjsGrBXp04kIlKh\n",
       "Ud2uuDJOAz03yPpWvA2/1XFhg/c2xy8jzAZ2jes2of+tkcviuuK9e+P8s/idEusBGw/YZ2lpH5Em\n",
       "aiuhdiGwDfAj4CKwX4C9InEwEZGOGKpicAt+rX6g9wC3juCz1gA+AZxYWldcy70Pv8SwHXAscD79\n",
       "L2HI2BVSBxiZ2rNQ+y6wNfBr4CqwC8C2ThyskZA6QAZC6gCZCKkDiDfBD+aDwKXAe/Hx58E7Aq4B\n",
       "vH0En7UlfslgQVyeHo+7E/Ag8HRcPxfvF7AV3kIwvXSM6dRbA5YBm+KVignAuvjzG5bR/x/XDOCa\n",
       "IXLNwp8UCbACmI+3WlA6jpZHvrxtl+UZ5nIN4HSw78JZX4et5oBdApwCtS3T5+sn1edrWctVLY/x\n",
       "vxdduVzM91GRGrAncAz+AKXhdsjqY/BOheU+BuvjfRcAtsAL/6LD4PV4X4Iaq3Y+LPoSzKR/58M7\n",
       "4v5TS/ONqI+BDJNNBft8HGb5G2AvTJ1IRGQYkpZ7F+C/5p/C+wIcNuD9O6hXDA7AR1Sch7civLm0\n",
       "XXG74hLgjNL6icDF1G9X7Cu9d1hcv5jGl0MKqhjICNmGYKfHCsLnvMIgItL1VO41oRPUfiF1gPay\n",
       "TcHOAXsI7ASwNROECAk+MzchdYBMhNQBMlDJQ5REZFC1e6D2b/idNK8EloAdAzYxcTARERkBtRhI\n",
       "xWxbsF+C3Q32PrChOviKiHSayr0mdIKkTew1YLPBbgM7UM9hEJEuoXKvCZ2g9gupA6RjNbC9wOaA\n",
       "zQd7S5uewxDacEzpL6QOkImQOkAG1MdAJJ2aQe1q/Hbbk4AvAr8HCylTiYjI4NRiIB1k48H+Fex2\n",
       "sKvBdmq+j4hIpVTuNaETJAnYamBHgC0F+ynYy1InEpFsqNxrQieo/ULqAN3LJoMdC/YA2A/BXjTC\n",
       "A4UqU0lDIXWATITUATKgPgYi3av2JNROw58Lsgi4DuzbYNOb7CgiIm2iFgPpIrYe2JfiMMtfA9sg\n",
       "dSIR6Tkq95rQCZIuZBuBfStWEE4BWzd1IhHpGSr3mtAJar+QOsDYZX1g3wN7EOzjYGsMsmHoYKhc\n",
       "hdQBMhFSB8iA+hiIjF21u6B2GLA7sCP+HIYPgq2eNpeISO9Si4GMIbY92OVgd4IdqucwiMgIqNxr\n",
       "QidIxiDbDex/wW4Be6eewyAiw6ByrwmdoPYLqQP0JquB7QP2EPz6abC/gH0W7E3eeVEqFlIHyERI\n",
       "HSADTcs9NUWKjEk1A64E+zOM2x14IfAO/LkM24M9DcwF5sXXucDdcT8RkUG140lvY4mhcyBjml0O\n",
       "vBG4AdgbaiviExxnANvHabv4Opn+FYW5wGKorUyRXESSaFru5V4oqmIgY5xNAb4NHOGVgiG33RCv\n",
       "JBQVhe2BDYAF1CsK84CbofZM+zKLSEIq95pQs2r7hdQBMhBGvqtNBdsD7DiwH4HdDPYE2A1xeOYP\n",
       "+FMgbXJlacemkDpAJkLqABlQHwMRGUrtb8C1cYpsLeAVeIvCq4AjgBf746L7XYZYALVHOxxYRNos\n",
       "9+YENamItMQmAi+j/2WIlwPL6N/JcR7UHk6VUkSaUh+DJlQxEBkxmwC8mHpFYXtgW2AFq3ZyvF93\n",
       "RIh0BZV7TegPVfuF1AEyEFIHqLNxYC8C+xewL4Bd6WMt2ANg/wP2ObB3gG0R754YK0LqAJkIqQNk\n",
       "QH0MRKSTaiuBJXG62NdZDZhO/TLEIcA3gLXASpcgmAssgtpzHY8tIs8bSzX2dlCTikgy9gLqlYXi\n",
       "dUNgIf0vQ9wMtadTpRTpMepj0IQqBiJdxabg/RTKnRw3B26hf8vCQqg9kSqlyBimcq8J9TFov5A6\n",
       "QAZC6gDtZWuA7QJ2FNg5YHPjWAt/AjsP7CNgu4Ot28YQoY3HlrqQOkAG1MdARMa62hPAdXGKbHXg\n",
       "pdQvQ/wz8Ap/mFS/yxDzoPZQhwOLjGm5NyeoSUWkZ9h4/PbJ8mWI7YC/03/I57nAMt0+KZlSH4Mm\n",
       "VDEQ6WlWw/solCsKO8Q3B461cIcqC5KBpOXeucADwE0N3jsOWAlMK607AVgM3ArsXVq/QzzGYuD0\n",
       "0vqJwEVx/XXAZqX3DgEWxengITLqj0D7hdQBMhBSBxhbrAa2CdhbwT4D9jOwe8AeAZsNdhrYe8Be\n",
       "GgdxAp3jTgmpA2Qgabm3G147H1gxmAFcAdxJvWKwDTAfWA3ow++BLmo0c4Cd4vzlwL5x/ijgzDh/\n",
       "IHBhnJ8G3A5MiVMx34gqBu0XUgfIQEgdoDfY+mB7gX0c7CKwxWCP+eBMVz4MtgTsBLBDwN4C9hqw\n",
       "F4NtUKpAyOiE1AEykLzc62PVisEl+ANayhWDE4CPl7a5AtgF2Ai/TakwEzi7tM3OcX4CUHQwOgg4\n",
       "q7TP2XG/RpKfIBHpZraOD8JkFqdF8U6Iy8Cui8vLwZ4FW+EPmrIbwK4AOx/sm2Angx0D9m6wN4Lt\n",
       "HEeHnOYjRYp0VNfdlfA2YCk+gEnZxvTrccxSYBPgmThfWBbXE1/vjfPPAo8A68VjlfdZWtpHRGQY\n",
       "ao+C3Y+PrXADsDfUVqy6nY3DWyan4X+HBr5uNcj6tfwSBsuBvw7j9VH1h5B26WTFYA3gE8BepXXq\n",
       "+Nf7AjA7cYZeF9A5bqd3wcWXwr8c0LhSAHEo6L/GaUnrh7YJwFQGr1C8dJD1k8D+xvArFI93eYUi\n",
       "oH/LyXWyYrAlfmlhQVyeDtyIXw5Yhvc9oPTe0rh+eoP1xPc2Be7Dv8e6+D/+ZfS/TjUDuGaIXLOA\n",
       "u+L8Cryvw+y4XBxHyyNf3rbL8vTiMk3e1/KolmuzgVPgwG2rP36tWH4ovv8Y8N/N97fVYZe3wIy1\n",
       "4ZI7gGnwpdfAGuvA0U8Dm8Il/wSrrQ37j/f3r9kAGOeXPlgOv3gOnn4U3rnIl8+cAo8/Asdf58vv\n",
       "2gKWPgr/exnUnqzm+zZd1t+L9vx9CHj525J2/2LvA36JP7d9oDvxOw7+inc+PB/vZLgJ8CvgRfi1\n",
       "kOuBY/BOiJcBZ+D9C46Kxz0S70Owf3ydBvwRvzWphlc+tscL/YF0u6KIZMQm438jB2uhGOz1OYbX\n",
       "MhFf9YyLLtS03Gtni8EFwO74P6p7gc8A3yu9X27Ouhl/EtvNeH+Bo0rvH4X/qp+M35VwRVz/XeA8\n",
       "/HbF5dQ7GP4VOBW/HghwMo0rBSIimak9ibeqLmt9H6vhl4IHqzhsiP+4G7h+Gtg/aL0i8WH8tvMn\n",
       "gY/gA1NJtT7bym/h3H8tq8Wg/QK6ZthuAZ3jdgvoHA+T1YC1ab1l4pUwe3JsAX8MeLDzmXvexlCb\n",
       "hMq9IXVzJ5xeEVIHyEBIHSADIXWA3meXw7UGNic+ZVMqZ5ejcq8pnSARka5gU+LAUqoUtI1NQeVe\n",
       "UzpBIiKSk6blnkbdknYLqQNkIKQOkIGQOkAmQuoAooqBiIiIyPN0KUFERHKiSwkiIiLSOlUMpN1C\n",
       "6gAZCKkDZCCkDpCJkDqAqGIgIiIi8jz1MRARkZyoj4GIiIi0ThUDabeQOkAGQuoAGQipA2QipA4g\n",
       "qhiIiIiIPE99DEREJCfqYyAiIiKtU8VA2i2kDpCBkDpABkLqAJkIqQOIKgYiIiIiz1MfAxERyYn6\n",
       "GIiIiEjrVDGQdgupA2QgpA6QgZA6QCZC6gCiioGIiIjI89THQEREcqI+BiIiItI6VQyk3ULqABkI\n",
       "qQNkIKQOkImQOoCoYiAiIiLyPPUxEBGRnKiPgYiIiLROFQNpt5A6QAZC6gAZCKkDZCKkDiCqGIiI\n",
       "iIg8T30MREQkJ+pjICIiIq1rZ8XgXOAB4KbSulOBBcB84NfAjLi+D3gSmBenM0v77BCPsRg4vbR+\n",
       "InBRXH8dsFnpvUOARXE6uIovIyMWUgfIQEgdIAMhdYBMhNQBpL12A7ajf8Vg7dL80cA5cb5vwHZl\n",
       "c4Cd4vzlwL5x/ijqFYgDgQvj/DTgdmBKnIr5RnQpof3+PXWADOgct5/OcWfoPLdf0ksJvwX+NmDd\n",
       "30vzawEPNznGRnhlYk5c/gGwf5zfD/h+nP8JsGec3we4ClgRp6upVyak8warlEl1dI7bT+e4M3Se\n",
       "u8CEBJ/5OeA9wBPALqX1m+OXER4BPgX8DtgEWFraZllcR3y9N84/G/dbD9h4wD5LS/uIiIjIEFJ0\n",
       "PvwksCkwC/h6XHcf3t9gO+BY4Hz6X3aQsasvdYAM9KUOkIG+1AEy0Zc6gKRpMSicj/cZAHg6TgBz\n",
       "8X4BW+EtBNNL+0yn3hqwDK9g3Id/j3WB5XF9KO0zA7hmkAy3o34GnXBI6gAZ0DluP53jztB5bq/b\n",
       "Uwfoo3+nwq1K80cD58X59YHxcX4LvPAvrjVdD+wM1Fi18+FZcX4m/Tsf3hH3n1qaFxERkYQuwH/N\n",
       "P433BXgv8GO8ojAf7zD4grjtAcCf8D4GNwJvLh2nuF1xCXBGaf1E4GLqtyv2ld47LK5fjGqfIiIi\n",
       "IiIiItKqfYFb8RaFjyfO0qsaDXAl1ZoBXAv8GW9xOyZtnJ40Cb+cOR+4GfhC2jg9bTzeavzL1EF6\n",
       "2F3AQvw8zxl607yMxy9L9AGr4f/DvyRloB7VaIArqdaGwLZxfi3gNvRvuR3WiK8T8MuWuybM0suO\n",
       "BX4E/CJ1kB52J94Pb0g5PithJ7xicBfwDN5p8W0pA/WoRgNcSbX+gldsAR4DbsHH8ZBqPRFfV8d/\n",
       "WPw1YZZeNR14Ez4abi1xll7X9PzmWDEoD4wEGgBJekMf3kJzfeIcvWgcXgF7AL90c3PaOD3p68Dx\n",
       "wMrUQXqcAb8C/gi8f7CNcqwYaNwC6TVr4Xf8fBhvOZBqrcQv2UwHXoce9FO1twAP4te91VrQXq/F\n",
       "f0C8Efggfsl3FTlWDJZRf6ojcX7pINuKdLvV8Ft/fwj8LHGWXvcIcBmwY+ogPeY1+LNv7sRvc389\n",
       "/lwcqd798fUh4KfUH1CYvQn4yE99+DVDdT5snz7U+bCdavgf0K8321BGbH3qA6RNBv6X+gPbpHq7\n",
       "o7sS2mUN6o8aWBP4PbB3ujjd5414D+4lwAmJs/SqYoCrp/A+HYeljdOTdsWbuefjzbDz0JNEq/Zy\n",
       "fJj2+fhtXsenjdPzdkd3JbTL5vi/4/n47c0q+0RERERERERERERERERERERERERERERERERERERE\n",
       "xpZiaOLNgIMqPvYnBiz/vuLjV+1Q4JsVH/OrjHxo4t2BV4/y8/uofvCuifgASjmOSCtdRP8ARdqj\n",
       "eCbH5sC7hrnvhCbvDxyY5LXDPH6njfb5JAP/Tq2NP7Ng9giPtwc+DO9wNPtvUoWn8KeS7t+BzxIR\n",
       "kQ77e3y9DliBj0r4YbyQ+wowB1gAHB63C3ih8HPg1rjuZ/hT0P5E/UloXwSejcc7L64rWidq8dg3\n",
       "4aP0/Uvp2LOBS/BHM/9wkMyz4/Gvx0cG3TWuP5T+v/j/Gy+Yi8/+csx4NbAL8Bt82PG3xm0Oid/l\n",
       "WmAR8JnSsd4dP28ecDb1SsBjeKvAfFYtxN8NfL60vCc+OuFC4Lv4UOfgj1Yvnj2/Y/z8zfDx4pfG\n",
       "z3wtsAH+EKo5cSo+7yT8HP8O+NGADH3UWwwmAd+Lnz+XekvGYOsPxf87NzofO+P/nUREpMcUFYOB\n",
       "Y78fDnwyzk8EbsALmYAXhpuVtp0aXyfjhVCx/Hf6K5bfAVyFVxBeANwNbBiPvQLYOL73Bxq3MlyL\n",
       "VyzAhw2/Os4fSv+KwS+pVwxWAvvE+Uvj548HXoEXvMX+98X8k+J32QF/Rskv4vYAZwLvKR33nQ0y\n",
       "ApwFHBDnJwH3AC+Ky9/HK2DgD+UZWDEAOBE4tnS886mfj02pP1b5JPy/z8QGGfqoVwyOA86J8y/G\n",
       "z/vEIdYfSuPzQXx/WaMvLdIpnWgeE8nZwMfI7o2Pv18Ueuvghdqz+K/Vu0vbfph6s/IMYKu4zWB2\n",
       "xQs5wx9j+xvgVcCjcb/74nbz8YKtUd+ES+Pr3LhNM08DV8b5m4B/AM/hLQjl/a8C/lb6jF3jdjvg\n",
       "rSLgFaC/xPnn8KdGNlL86gcvcO/En3sCXjH4IHB6k9zl/y5voP+D1NbGHzJjeMXlqSbHei1wRpy/\n",
       "Df9vuPUQ643G5+PG+Fnj8ArDP5p8rkhbqGIg0nkfov5rvBCAxwcs74k3zf8D/7U7qclxjVUrIsX1\n",
       "/XLh9hyD/7//VINtnqX/df5yjmdK8yvxikIxP9hn1Eq5vs+qnSnBv/NQfRMG6x9VPnY591DnroY3\n",
       "4T/d4L0nhthv4DGGs37gNisHLI+2X4bIiKnzoUh7/Z36o07Bf10fRb3Q3Bp/HOpA6+C/KP8B/BNe\n",
       "QSg8Q+NC97fAgfj/1xvgzf1zaK1wGspdwLbxODMY2TPc98KbzicDb8Ov2/8abznZIG4zDW/Kb6a4\n",
       "RAL+S7wP2DIuvwdvKSly7xjn31Haf+B/k6uAY0rLr2whQ9lvgX+N81vj3+HWIdbXWPV8FK03E/FK\n",
       "WbNWCpG2UcVApD2KX3wL8D/08/FLA+fg17Dn4k3vZ+GFvNH/V+IVcf3NwBeA/yu99x28Q1vR+bDY\n",
       "76dx/QK80D0ev6Qw8Ng0WB7qO/wOb66/GW+iv3GI41iDecMrKD+J2X6Mf/9bgE/hBfOC+Lphg+MM\n",
       "9DvqBf4/8Ed6X4J/92fxTowAJ8e8N8T1xTF/CbydeufDY+LxFgB/Bo4Y4vs1+q5n4n9LFwIX4p0t\n",
       "nxli/WDnA2A7+v+3FhERkSbWwgv7sepQBh/X4fN4pUUkGbUYiMhY8xje52KP1EFGqFELDvhlhF3x\n",
       "WztFRERERERERERERERERERERERERERERERERERERMaq/wdJC4QcLyKhdwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7440f2710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Outer loop: 6 iterations\n",
      "\n",
      "Z in [-0.140299916267, 0.973475933075]\n",
      "Sparsity of Z: 3,814,482 non-zero entries out of 19,072,000 entries, i.e. 20.0%.\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfEAAAFCCAYAAADhbOSmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJztnXmwbVdd57+PvARBhhCwCCTBhyAyNERBGZy4oQEjItCD\n",
       "gAUYwa6yGwdQUUCrfS9ldTcEbIe2I20LMSogUZEmXQiJ9HuigIBABggxBI0QMFFBECemnP5j7523\n",
       "3u/9prX23uecfd73U3XrnrP2Gn5r7bX2Wr9h3wsQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEII\n",
       "IYQQQgghW8+5AK4F8GEAL9ywLDWcBeAwgA8C+ACAH+7TTwNwOYDrAFwG4NSizIvR9fNaAI8v0h8G\n",
       "4Or+2i8U6bcF8Lo+/U8AfOXUnWjgJADvB3Bp/32X+3sqgN8B8CEA1wB4BHa7vy9GN5+vBvAadPLt\n",
       "Un9fBeDmXraBdfXvvL6N6wB8z/iupND6+zJ08/lKAK8HcOfi2i72d+DHANyC7n4PLL2/W8FJAK4H\n",
       "cADAyQCuAPCATQpUwekAvrb/fAcAf4ZO9gsA/ESf/kIAL+k/PxBd/05G19/rAezrr70bwMP7z29C\n",
       "d7ABgOcCuLD//DQAvzVxH1r4UQCvBvDG/vsu9/diAM/pP+9H98Db1f4eAPDn6B5UQPewOg+71d9v\n",
       "AfB1OPYhv47+nQbgI+gOCKcWn+dG6+/jANym//wS7H5/gU7hejOAv8DRTXwX+rsVPArd4A68qP9Z\n",
       "Im8A8Fh0p7q792mn99+B7tRXWhreDOCRAO6B7mQ88HQAryjyPKL/vB/A30wudR1nAvgDAOfgqCa+\n",
       "q/29M7pNTbKr/T0N3UH0Lr0sl6J74O9afw/g2If8Ovr33QB+uSjzir7cOjgAXTMFgH8D4Df7z7vc\n",
       "398G8BAcu4lvfX9vE2fZCs4A8LHi+4192tI4gO4E+C50D4Sb+/SbcfQBcU90/RsY+irTP46jY1CO\n",
       "zxcBfAbHmoPWzc8B+HF0ZqmBXe3vvdEt0osAvA/A/wbw5djd/n4KwM8C+CiATwD4NDoz8672d2Du\n",
       "/t3VqWvTPAedpgnsbn+f3Ld/lUjf+v4uZRNfbVqACbgDgN8F8DwAnxXXVtiNPgLAEwH8NTp/+D4j\n",
       "zy71dz+Ah6Iznz0UwD/ieCvRLvX3PgCej+5Aek908/qZIs8u9Vdj1/tX8lMAPo8u9mFXuT2AnwRw\n",
       "sEiznl1bx1I28Y+j81cMnIVjTzTbzsnoNvDfQGdOB7rT/On953ug2/iA4/t6Jrq+frz/LNOHMvfq\n",
       "Pw8+2U9NJ34V3wjgSehMUq8F8Bh0/d7V/t7Y/7yn//476Dbzm7Cb/f16AO8A8El0Wsbr0bm7drW/\n",
       "A3PP308qdW36Ofe9AJ4A4BlF2i729z7oDqVXontunQngveisLbvY342wH10QwAEAp2BZgW37APw6\n",
       "OhNzyQU46mt5EY4PHDkFnan2Izh6KnwXOl/LPhwfSDH4Wp6OzQd6DTwaR33iu9zftwG4X//5ELq+\n",
       "7mp/z0b3lsXt0Ml5MYAfwO719wCOD2ybu3+noYuvOBVdzMHweR0cwLH9PRfdGwh3E/l2tb8lWmDb\n",
       "0vu7FXw7uoCa69EFGyyFb0bnG74CnYn5/ehu9mnogr+0V1Z+El0/rwXwbUX68ErD9QB+sUi/LYBL\n",
       "cPSVhgPTd6OJR+NodPou9/dsdJp4+TrOLvf3J3D0FbOL0Vmadqm/r0Xn7/88Ot/ms7G+/j27T/8w\n",
       "uqj/dSD7+5y+/b/E0WfWhUX+Xenv53D0/pb8OY6NwVh6fwkhhBBCCCGEELKzLPWvshFCCCEnNEv+\n",
       "q2yEEELI2tmmV8wejm4TvwHAF9BF9D15kwIRQggh28w2beK78lfZCCGEkLWwf9MCFIR/Aenss89e\n",
       "XXnlleuQhRBCCNkm1L8it02aePjXbK688kocPHjw1p/Dhw9jtVqpPwCO+y7TWn+Gekq0NiOZtDrK\n",
       "n4MHD6bLltet+rR0S/apxqrmp+zvifDTMsY1ZWrm/FT336tH3l9Pvtp+WmWs9SXLaOsnWkPa5zLN\n",
       "m881dWf6pslfM5ZW/TV5tfsbzUurD9b8yJTLzJOa/lrz5eDB8q+0+s9R67rVzuHDh4/Z6zy2SRP/\n",
       "UwBfjS6w7RPo/oXbd8tMhw4dWqtQhBBCyDrZ29vD3t7erd/PP/98M+82aeJfBPCDAN4C4Bp0/6f4\n",
       "Q26Jgn37jrU0WCfqKYhOXFKeffv2Yd++fVitVqqclmzljYtO3lp/h3bL9rV8Xh/JfMgT9nCfJGVa\n",
       "zX0ZM+fHlhtk1uopr3nzTxsLr01Zl9VOuRYjDU1rS65/7TPgP3jL9RnVXcop+1D+WP3N3EtLHivv\n",
       "IIO8z8P3UubaZ7N8XmkyWdq9hTaGVr/KMlq7mhxWHWXbkQzemHls0yYOAL8P4GsA3BfAf9uwLGTN\n",
       "lCfPEwH2l+wSJ9r93Zb+LubfrfWsrJNM5qS1TrRTVeY0ZtVRk8/T+se2RebD0l7XcW+mbsOrr3Ve\n",
       "t8gA2OM5x7jKdR+tOU0+r87atBqy8nj5tbH1ZNXyadr92PtkPY+zZWrql+lDW7WauGLZ3frAtlF4\n",
       "phCL0tRcUy7TjjYZNTllHdKEo5nlPRmliVAzt9XQUmYd9W6rXGPb08xpc27gtQ9uWc7Cm2/RGpDp\n",
       "pYm2hqgdzYRstVPKIOXx7pUnc9YUXHPgaZ2/GVOuZf6PxkHZjEw3RlmvVr6W6FnpYc0frVzWFO/N\n",
       "tdY+78wmTgghhJxo7LQ5fUpz2brNzVZ/gM2YW1tYh4l2W/tewxgz27rwzIWW1WldMtSUB9bnVorM\n",
       "9pYbLJJjSXPe66P2XabP1dcxFqgxLs5WTghzOiGEEHKisTObuHbKmeIE5/kwpJ8s8r9YvjbLx6L5\n",
       "Sy0/nidzpi9euVamPkHPdY83hQx6yeBpZ1PIUtOujL+Yqq2sDDVrQPP5ZmJhplgj1tjI9KxPNKsJ\n",
       "TkVNXXJMLT97NPaZoDPvmRrR+tzIlouC6Ka8PzuziRNCCCEnGovbxLMnrzEnHevUaPn/MlGmVh6v\n",
       "rPSpWKc6K0JUq0+LztXas5g7envd0eGbJOtLzr4KY1mJsrJo9Xp1ZOaPpjFFUdCZ9iMfY9mGFlGt\n",
       "1SXHT2sjo1GN8bfKzzWWgNp7Lsemxipo5a+1Olj3wypXjq33TLXIWEu1cbE+a98z92hKC+LiNnFC\n",
       "CCGEdCxN7VmVJ+wo+m8dUZyZyFNLgy/zDuk1/vGyrEU2QnKOE+I6xn/JWPPC+x7NJasN73uJFRGs\n",
       "yZSNOrauZeZjJFem7bK8hjUekeXKw1qzkVUj85yw5Jfj6rWv3RvLWuJZXKz6rPuvjac3ztp9j2SK\n",
       "iOayV85bH9EcLLGuBc8ARqcTQgghuwQ3cUIIIWShLG4TbzUjtrQhP0dtZM1RWlulmaYM2Cjr94I5\n",
       "yutaG5n2pzZ9t9SXNVdm6piirrkp73kZTKXddznfMuOrBRTVuGA0Ga16te9RW1EgUEsfrXasICjP\n",
       "pFneC299emuybCcTiKWNf1lWa1P2QcpalonM9PLeWe6dmnubnXORq6h1bZdBZ3Iua3Vb46k98+V+\n",
       "Ee0f2hr2zOhRXxe3iRNCCCGkY2c38TFaZa22o+Vt0QK9tqJrGU3IC8bYFq11CmtApB1tC5ZGIJnz\n",
       "3lhWH5knawEbyFh4IsuSlr+GrMyt2n6kfZcyDOmeTN5zJ6N9l3mz6zr7zBn7TPQsARaRFtsii7R4\n",
       "Zeuy1ohlNaudG5Ka9bazmzghhBCy63ATH8HUmp7lm6otZ6VJtl1THcu2WBcstk2+sb7pKdubIr9V\n",
       "rkWjt/zZrWvPamdsHWXZTB3W61IlGWvRlDKV7c5Fq9VT83/X3LeMdaEWbuKEEELIQtkuVSBm5UV5\n",
       "DoyJTB+D124Ucen5q2vasiLmpT9Ok2eKcVvX2G/qHk/N2LcoplwH2psUMjLbitL12m6RU4vSterL\n",
       "rB85961r2nevnUz/piDbRiZf67yove7F42j5asZ2zmdVtr/eM3TqOdG3xT/2QgghhOwSi9vELR9U\n",
       "6XMpIxC9Oqx3/DQfx1jfV+Z0rL2bKGUt/XPaNfk9ipJs8VV5WNGXmowaWTmyfiuZtk1+6Kws8t4P\n",
       "lPdQu/9yjljta/Ndu48ZDUXKpl2T7Xo+V60vlrWgLCPHRpbTxlJbM9q4Z9K9PFpeOS7eZ6tOL583\n",
       "b6I+aXnL9EzEtSXPUF4bcylrea31TQVrPXhrwZozg3xeXda18rsnU+YZsbhNnBBCCCEdi97ErZNR\n",
       "+Tk6gWlk34nM+qgy6dq7hWWa1paVln1PseadzRa89ycz8s0hy7b50aOTfJnPul+ZOVJzzfI3Z9eF\n",
       "7IdVNqqjzCe1L0/78zT1sk6tfq1sNIbemorWYjQuMi0zD7R8nuxS69XmZO161eqseYZ5jFnDlr/a\n",
       "mheyPe/eSKtCbX+1dZfp66I3cUIIIeREhps4IYQQslC2J8onxwqwXxMZayqtqUMLANLqysgp81pl\n",
       "s7JqATuerGQ+pphT3pxpaVMGfkVzrYUx8g15AKTXg1Z/JghpSNfKyjajz9a6s9qoGQvt/pf1anMn\n",
       "u+49eeR9KD9r9cqxsPJ6+bRxlP20rnt9LMt46VbeqG5rHkl5tTyZsYCxX1MTJ4QQQhbK4jTxpWiT\n",
       "2dNzyym8pu2W0zjZDDWaeE2dGYvVOjXxdbFpGby1V2Mdy1o1ai02cxBZMKz82fQ5mGLdTdGPhHWV\n",
       "mjghhBCySyxuE8+8IjZHe94ratYrQVoe+YrCvn32HwTwTnflZ9m+bKM8EVvjZ/kLI6a8H7Jfu452\n",
       "37Q5MUYjkWWtuqbWetatAWtryJr32nq11mDUhvdZviIk76nmg8347C25In945hmmpdWsxaE9zcdb\n",
       "1pfps/e80urx6ivTrXUnr3njLuWvXVfRfa5hcZs4IYQQQjoWuYl72qv1PboWnfoGtNOSpXWXn+Wp\n",
       "vCzbEpEpy5flamSvuZ4pE52Co7pqfIXbSI32Yt03a65E7UbaprxWU0f5o+WNZIva09av11ZkrbDW\n",
       "znBNW1O1mmdmfdaka2u+Zt1EZcr5FtUh8eZFBu05V6bLtjztNlOnlT9Tr2fVkW141tKWZ7FlZfVY\n",
       "5CZOCCGEkAVv4hkfbnQitfwfWt5MG9pJV/pVLM3I8o9pvj3LtyPrzJwoI9kivFNwi58tG62b1SY9\n",
       "WazyY/C0Ha2t8h5bp/CMVub59TytVbMAWP4+qTVFczuyqlg+Y8uSlbVWeP5GbU1p/ZH9kmOZmYOR\n",
       "dUTeY21sIwuBvDdDPZk4GCmz9rlsR95Pz6evzb2yvGc9sOaYJWv0zJFtR3PVm+dDXs9aEM17qy+y\n",
       "TNYit9hNnBBCCDnR2cQmfhaAwwA+COADAH64Tz8NwOUArgNwGYBTNyAbIYQQshg2sYl/AcCPAHgQ\n",
       "gEcC+AEADwDwInSb+P0AvLX/7uKZGjJmCGkWikw31rWMiS0iG8xR4rkU1hUYlm2nxszc2q5nWquV\n",
       "U9Y7F57ZLjI1l2imZs286rVf08+MOysyd2tmVu23RWZtRnk994EcU20+1ay/TGCZh2Yit8zg0jxs\n",
       "EbloIhmt+mUQWca1V+sGi8z+Ml377OHJY7mvMnVk2qvZSzaxid8E4Ir+8z8A+BCAMwA8CcDFffrF\n",
       "AJ6yftEIIYSQ5TCfipHjAIA/BPCvAHwUwF369H0APlV8H1gB2/P6kac5Z4NnvCCITP3yt1bOC2qK\n",
       "XpUg86LNk2xAzJT3S5tHY9qvkc/Tylr6aK2JAS1Iy1tP2X5p626KexRprTX3Larfakubo95Yafm0\n",
       "Or36xtQf9XFgTGBa5vnpBa5p/dT6VNSh7tf7XSnn5Q4AfhfA8wB8Vlxb9T8qhw4dAgDs7e1hb29v\n",
       "HukIIYSQDTHscxGb0sRPBvB/Afw+gJ/v064FsIfO3H4PdMFv9xflVtlT8DrIniItNI1A1p/RxK06\n",
       "ZZp2aq3VwJbEtvcpexLX8g/5Wtosy9bUWWO5iTSTWn93Zo56Gri3FueMC6itS/O9e5Y1KUfU/4wf\n",
       "OpKx5romWza/JXfk8y7zWM+68lpmHUaWGWtee3Mus0fI5rTETfjE9wF4JYBrcHQDB4A3Ajiv/3we\n",
       "gDesWS5CCCFkUWxCE/9mAG8DcBWOmsxfDODdAC4BcC8ANwB4KoBPi7KmJj4Xnp8r4wPLntQyPmyt\n",
       "XJkvc2os65zLh0dyZPxlXtkx/mIrfd2WmRbfc1SPt6aylqrMuow0Z08m6zmS8Y9a2lv0nPKscbK8\n",
       "1t/M2MryY33GWr1ROQvrflnXMxbMjJye9u99Vvq6NT7xP4ZtAXjsOgUhhBBClsymo9NrmVUTH+Nr\n",
       "zNTtadU1p7I5NLRWptYIp2QplgVLc9ukJrzu9lrmem2+Vqaqf5vn45g5GFkvtuHejJlfLW22WpgC\n",
       "i8XW+MQJIYQQMgHcxAkhhJCFsjhz+q0fEq8ElHlr8IJCZJoqpBPc4tURBdHIur18lixaO17g3dRk\n",
       "gu9aZcgEZ22TSTM75t49Ha6PGTNZd3nNmqPZsfXKZoKaymvZPltBbN76iNK0PnhlomdQZlxq6owC\n",
       "3TSsdso0S4aM+dwaQ62usmzr8y3T10zbZR6rDi2oLRpDK0BO4tx3mtMJIYSQXWJxmvi2aFED1ik1\n",
       "U26qoIpNBJRsC7vWz6X2Zw65Na1l7qDOSDOM2pkq0GpM8NRYMhp2a//nHNOxTNnOVJZGYSGgJk4I\n",
       "IYTsEovbxCM/y1R1Z9opT6zD6Sp7ysr4jeQ1Le9wUpPtaj6aqE/rGFv5u6Z8rd9vzv5MheUX1vqb\n",
       "nZPaGLeOhXW/5hhbS+6oH1JzzJa35pQnX0ZjtO6BVkeZr6w38ptOjTdnPB+4xPMje1jlWjRX75p3\n",
       "fR3PklpNP5N/cZs4IYQQQjq2X1U5lrRPfIx/w4uwnDuy2rs+tK+ll7Jp+WrqXAdzjOESmdKPO7Yu\n",
       "y0+Z9Vd68RqA/2c5M3LV+oyz7Vv1a2Us2Vr65dVlab/eusnki9os67DyZdOs5+gYX3/LHCjLlu17\n",
       "z3kvX83eUOP7T8hOnzghhBCySyxSE9+kBllSyqFpxJpfKzppl3llulZOEmkWUt5azWNbyJxol6DV\n",
       "12goWrna/nnadilHjZZV234pd8bCpF236pZz29KWtOvWusrEr2hlvLGN8nnyZta/lNu7p5ZsXt1R\n",
       "n8t2JZEGbNWtyaxdt9q27od13XqWWnJ4mriXN7rvZZPHZQQ1cUIIIWSxLFITzzDWP9031lQ+W2+L\n",
       "TyfyFU1Z5ybYFQ07S8tcGzu3p/Lh1rRn+Xu9+Qy0xaB4Vq6a8lZaVsvz2p4Kb3w3iafVavnk53XK\n",
       "OKZty7JUpk0BfeKEEELIDsJNnBBCCFkoi9vES3OF9RmIgzA8Vqvj/3iK1lZL/WW9VnDHvn32HyXQ\n",
       "rkWBcFEwilbPFIwdH6u+TZsKpyQbsFVbpqa9Fhm0dC/gSJv3XrvlGrTWiVW+LOfN79pgUq9dKWtm\n",
       "XXnrWCujPXe88Y3azzLVcy4TGJeRYYrn1FRrSgtim+L5VNPHxW3ihBBCCOlY3CZec8ppDVQoT7zD\n",
       "jxYAUVu/FURT/vbq9SwE8pSr1Rdp5S20nqxbGKMxbiOerFMHyLRq0pEMGctSWb823yOtU7PAZLXb\n",
       "Ml2Wz1i8vNeAZHn5udaSIMdSjpUnh5WWtSDW3Jdo3LQ+yeeohyZDVkvP1JsdQ6+sZXXyAt1q2qmx\n",
       "JC9uEyeEEEJIx3LUlg7zFbNteK1iHdT2s9QkToTx2Waie7BJn//U82Nsfds2X1vkyZQZm8eyEq4b\n",
       "zdKR1brneqU0O25TyDbF/LC+Fxo5XzEjhBBCdonFbeJL8nkC9T6RiBqfErXw7SK6B1Zk6zriGDIa\n",
       "Rw1j55vmE86i+dPltcx1S54sY96QybDudT1l/EvGN+xZpjLjqsVQ1Fi7psjjxQ9EMSTZ2KvFbeKE\n",
       "EEII6eAmLpj65Jw5jWtRu1rkq6WZWBGotVH0tRG/rfVtuq51tZ2NRNXSMxG0rXJl3yOukT+K1NbK\n",
       "RZHQQ3om6r3EigrX2q3RpFrWUfRGSkbLtPqhRbfXRlnLa5n74JWJ5qglu1aHF40fzQlJ6xtFGpk2\n",
       "yz5EcTBjrW/cxAkhhJCFwk2cEEIIWSjLihIzXjEb8wpCX2lTXd4rAd4fZRkj24CWrrWZ7VvrKyJk\n",
       "fuZ6DUe+wiLnrmfqm+r1oZo6ausbsy6iPNaYZdpvZcp7k2lDptXMw+zYj5Grppxlgm81dWfTI7mz\n",
       "c6TPx1fMCCGEkF1icZo4sL4/hpE5bdfWl9HQo5NvjQUgaiuSL2JKjX2M1hXVt414GsGU1qV1s4lx\n",
       "r9EWvfJRmne9Nn9LuTFyRpbCMRq41iaAcD3XWAdr8Z6TpWzZMpFlZs45T02cEEII2UEWp4nXnBbX\n",
       "7X8ZU2/Gr5bVtIf8tTJMwTZov1POhW0g8i9OtQZafLsZDWusdWDMvctYOzRNd4rYmKgPLZq87EfW\n",
       "emXly94nq20rfys1fvcp25Ja+oA3P8o8ss6pnzfUxAkhhJAdZPGa+LqY4/TnXbd8St6JWLJNVghy\n",
       "PBkfXZlvThmmypcp29rmFPVompaW19NQPTkyvuXIYhZZN6a2EpTXWmQqy0TWoayvPCNv5vqUTGHV\n",
       "am1rWzXxkwC8H8Cl/ffTAFwO4DoAlwE4dUNyEUIIIYtgk5v48wBcgz7iHMCL0G3i9wPw1v77cVha\n",
       "59i8UbmptHDruzyhrlarW0+ywzXvVCvli07blgzeaXsqrPrKvraU966XY5gtmy3TSkYLz8iSuWZ9\n",
       "z2qymTxW+5b2GdUb5fPmuDcm2nrx6pb5tbVW3kdrDsm1nWlbUqvhaWNYypSd25q/eEjXxkZ7TtX4\n",
       "0AfZau5TLdqYaNete6vlrxlTj5p+bWoTPxPAEwD8Ko6aCJ4E4OL+88UAnrIBuQghhJDFsKlN/OcA\n",
       "/DiAW4q0uwO4uf98c/+dEEIIIQab2MSfCOCv0fnDLbvDCkfN7MehmS0is2ENWZOyNNtpphQvXX7W\n",
       "6pPyWGZJzdSutZk1s5dM8XqPrK/VzFnTXhRAZMkmP0/d/+x1L7/Wt0ywo1anZwaUQVte/dnAvIzL\n",
       "osY0mZHFWlveus78yD5kTNWRLNqzzfquPX8iOaL54j3Xovoz7XrPSWusNPla5kjN3iHHaZjHmfmb\n",
       "lTW6b5m+7Q9zTM83ojOdPwHAlwG4E4DfQKd9nw7gJgD3QLfRE0IIIScshw4dcq/PE7GT59EAXgDg\n",
       "OwFcAOCTAF6KLqjtVBwf3LYCNvsnJUs8zVbmsbRCS9u2/siA9rksb51+rbYy18g8aPdZXpOfM2Wt\n",
       "ery6M3N5KjJt1soYrQ8P6/Wv4VrZRhavTi2vJbf1HLDq1PJH161+SxmstmQ/pPwSrV5L7qg/WtsW\n",
       "sq/e/JJp1hy0+q9d1/qTlWvIqvVrG/7Yy9CblwB4HLpXzB7TfyeEEEKIwaY18VpWWW0hqyUXFafL\n",
       "ZdvJ1uVpXdYp1MuTqSsr61wa2ph6o1O+p3nOKVcLkcY9dRtT1VFjhcqUqdXIWuWWaZ4lTCtTYyGY\n",
       "yrqVmdNTWVRarHWWJllTt5Z37HPVKjP2uV9rga21lFn5sMWaOCGEEEIaWOQmPpykPF9T5nSzWq1u\n",
       "/cmeImWa5zOT17L+uTJ/WcfwWfNFafJ7p2kpj+f3qiHrNxyjLXhls365OeQay9RjXav5lHNCfs/4\n",
       "diWetivbHdah1laZnkFba1r/NBmlVmn1P6tB1TxPrHRv7K1njvW8surwfLveWMn80TNPq1vmK++B\n",
       "Nx5aWYvouSjveaZOa55p7Xr1yb7XsshNnBBCCCE75BOfyp+o+eDm9pOO9Q9nfC7r9vXOjeeHnNvH\n",
       "PDW196i2X1n/4pRzxfI1D2nRfcpocDUxHC1jXLZd6zNtKefV1xrnkb2/mWtRPk+uqfzhY9D84rXP\n",
       "iuz41JSvkJc+cUIIIWSXWJwmDuRP5bW0nFqPEa5BhuwJOCNzSxu1dc1Jiw87qm+bNfHIVzxmPs1N\n",
       "q0ZRmy+jMXl5IiuEV3f0PSt/TR3ZeqfIW8sY2S3fdqbclM+DTLtantpn8dT3gZo4IYQQsoNwEyeE\n",
       "EEIWyuI28YwZOwrT10L6rTqt1xGG3+VP1L72OkI2mMSSNep7WY/3qspUjKlfjuPYNuYORpwCa954\n",
       "99Was1p9NXLW9mnquaTJLsdBvgo0pJX5rM8lQ91aXq9ti6z5tGVOZsy/8rNHS5lIjkxZ7Vk5Z5uW\n",
       "DIC/NrxnflR/+Xns+siWX9wmTgghhJCOzCb+fAB3RudUfyW6fyH6bXMKFRGdimquexp3K5oW5Z3s\n",
       "Le3CyyfrH35br1BYsmWvZVlHUFUmwGTTMrTUEWmN8p5m5nnNWNVqSNn8Y7VPb93UkgluiixrNUFa\n",
       "c68HOU61gbDWsypLmT9TNhu8WhPI53230ue+X9GrdhmysmQ28ecA+AyAxwM4DcCzwH9OQgghhGyc\n",
       "zCY+HB2+A93//f7AfOLkmEvTanl9IiPLcEL2To0Z7SJqa4wfpvYEnq1z7vpqX13ZJmp9+y33NzNn\n",
       "auVpaaeFob9eDMDU8ngxJbVtRGtq6vH2ni/eq1NjKLV/zRIwZuyy7bfky2rwNWT3ginrA3Kb+HsB\n",
       "XAbgCQDeAuBOAG5JS0IIIYSQWchs9ScB+FoAHwHwaQB3BXAGgKtmlMtiBeT/OMbUfyhgbF3RadjS\n",
       "tKKIfKt87XjM8QcKtmX8vTcBNoXl67byZdOnlnHAmnOaLJEGm7kXURteORkbYiHlkLJ5a1OLP5Gf\n",
       "tfsbxSFktGZvPlgyRGOutavV5ZWJ2rPidmTfvDXhrZuaOWLV75XJrFcpR+2Ya2X6fOpk3p+Q/UsA\n",
       "vgjgWwGc3KetsJlNnBBCCCE9GU38IgAPBvBBHGtGf/YsEvmsak/lGWpPVla5Fm2kRdbohJvpwzZq\n",
       "pjWMHb9dYF19yfqFNz2uNdrPnNpbpn5L1uz69iwG2Tqz/fK054yM0fh48kZyedctWi1fNXnnsGpi\n",
       "hCb+CAAPQm/KJoQQQsh2kAlsew+AB84tCCGEEELqyJjT9wC8EcBNAD7Xp60APGQmmTxWU5hAIqQ5\n",
       "p2g8VabK3Gy4AAAgAElEQVTF3CbrbzHxRWaqOdiUeTobOLNpE6+HN2fWFWS4TheLNVe9/k91P2vr\n",
       "0wKtakzDZdmMXN71sp5s3Zkgt0hmb8xqzciW3JGbMjs3MtQ8K8a6AjJt1sg71pz+SgDPRPd+OF8t\n",
       "I4QQQraEjCb+TgCPmluQJMccYaJTVctpsfZkJ+Woye+d9jUrQHQKl2VkvikDOmoZW3eNRraUoL0o\n",
       "WKlMH8gG/Hj5xmiVmUCqiKy1qkTTJLPWGCmnxBpred26Fo2RlVdrXyOaF1ZfvbLyutY/7357MngW\n",
       "j+iZp/VljDZrlWnRwqM65bWSyAKSnMfNmvj7AbwGwKUAPj/IBOD1ibKEEEIImYmMJv5r/W955NjI\n",
       "K2ZA2+m/llrf09h2Wi0GtRqq1Vam/FRlrHJT3M+a8dg03hybclzXTVbTzvg6Mxr/GK3N01SzZbXv\n",
       "kZw1ZOrNXI80x6hci7VFs0pk6prDmhZZFco8LXLM+ewZq4l/72SSEEIIIWQyMpr4WQB+EcA399/f\n",
       "BuB5AG6cSyiH4442WV+MRs2pPfIXDrJ42oQld4TlX5Pls3446wRqXWulVSsY296cbUxJ5t7JfGXe\n",
       "Fo0m4yO25NHal+1Y32tkivos60/4El0szWtdaM8wmT5Xe2PrsSwl0joSlbfSsuPh7QNlulVeqz/7\n",
       "7LLqjvruyWKgZs68J34RulfM7tn/XNqnEUIIIWSDZI4BVwI4O5G2DlY1GlbGf9RXqn7P1C/Le/LV\n",
       "pGv+UsuH6mkyNdqRzD+WdWjC265te2TnQ62vLZu/xtcapbf4lDNIja7FJzuUl/VZ3yMLQ0m03su6\n",
       "a697+b1nRsZaUZbJPjdq5l5Wm516DVjlPG3ZqjNTl5W/xlJWyuHVhxGa+CcBPAvdfzPbj+6d8b9N\n",
       "lCOEEELIjGQ28ecAeCq6v9j2VwC+C5uJTCeEEEJIQWYTPwPAdwL4iv7nyeiC3TaGZ7qK8pVpq9Wq\n",
       "2pQl65L1efJ5gQ5Deja4SZNlyGeZaLy+tga7ePkzZqRW5jD/rxs55lEwUGTalfXKz1q+GleMVs5q\n",
       "xzM5anPd6m+G7NrX5NDWsFxD1prKPIe0MbTcYl5/pHzWs03e0ygoTHtuSDnK55qWx3t2WfV6z0JN\n",
       "3sglEdUj0zLPRi9Py36TKdfyXMxs4r+UTCOEEELIGvHeE38UgG9Ep33/KI461e+I3OY/C1ZwR00g\n",
       "mZWvNognCpIpkSdP7zSt5YtOrpl8UUCIJbtHqybccr+0+10bPDVFsNVUSFkiLS8z52vJag+R5qJp\n",
       "bVF7Xn8z2ppVNnMtGzTlrXFrXLQgqvL5ErUdBURZ1612M8FTmqZuafXWHNTassYyY5nMjoX3XUuP\n",
       "5lTmGVH7/LL2GO97dn17m/gp6Dbsk/rfA38P4N+naieEEELIbGQM8AcA3DCvGGlW0clsG7FeVVhH\n",
       "W+tm0+1vmpr+WxrgFGNYajoZzXpIB3JWjhrLTUZDaelzraUtm28d8RbWfaltd13rzZszLfN9k2Tm\n",
       "4zagWFbU/TrzZ1f/CcDLATwQwO36tBWAx4yQ71QAvwrgQX1dzwbwYQCvA/CV6A4NTwXw6RFtEEII\n",
       "ITtNxrf9agDXAvgqAIfQbbB/OrLdXwDwJgAPAPCQvv4XAbgcwP0AvLX/fhxTnpRqIi29vBFZv03Z\n",
       "dvnj5dHaispa1EZGZiM0W+ufquw6qZmbkX/Ymosew33XYgei+i1Ny5pPWT9jRuvR/KOyXa39aJ7L\n",
       "sl6dpUVAGzerXq0NrYyUXWvfs5Bo6dn15tWRee7I+5OxGsj82rzT5Kp57mWfcdr8L+sbY32x+pAt\n",
       "G83viMwmfld0WvPnAfwhOq15jBZ+ZwDfAuBV/fcvAvgMgCcBuLhPuxjAU0a0QQghhOw8GXP68D/E\n",
       "bwLwRACfAHCXEW3eG8DfoPv762cDeC+A5wO4O4Cb+zw399+Po9X/op20aiIDPZ/2VL45L7JXagie\n",
       "3zIbOWu1n+1T7al1jAVlW/xUU5E5+XvzISqTTffyZWSL8tZYzrKRu5qlwSpXEw2stWFZSLS1pMk0\n",
       "xRqqvaee7F4dNbLWyh2Nk1UuW1ckl7xf2hh5WPc8srRERGOaqSejif8XdD7sHwPwAnRa+Y+kJNTZ\n",
       "D+ChAC7sf/8jjjedr/ofQgghhBhswtF4OoB3otPIge5fnL4Ync/9HHQa/z0AHAZwf1F2dfDgwVu/\n",
       "7O3t4ZxzzmmObh1LqU3Jk5r2+5iOCP+QdcqL/OdlfZ6P2vKJehr90rDGflvx5oYmu3a/Mn5RzyJV\n",
       "M1Y14xnN3WjeeWsralPzv3p4mlVG64rqjspp90KW1+aC1170PNDq8cp4dXr55OeyzTHPxUy/rLRo\n",
       "DdTMPcvX7smq1Z2kOTp9am4C8DF0AWzXAXgsgA/2P+cBeGn/+w1a4UOHDq1FSEIIIWTb2cQmDgA/\n",
       "hC7q/RQAH0EXLHcSgEsAfB+OvmJGCCGEEINlvLdzlFvtFZaJcApTatasVRvUkDGPW2ZGy7wUmcMs\n",
       "M1FGpjnImKemuG9LMacD7cGaMr2lv9F8mWI8LTeRZ4qM1nSNud7qW1S/hmX6tp4XVv8sWVvrbA2w\n",
       "yrh0PBO7JofnHrDakPk1s7r8XjsvvWdsZk7KMp58lozWWtD6pnVBS/QC226Lzqz92P77MwD8TwA/\n",
       "AOBkpxwhhBBC1oCnib8GnYn79uj+ctodALweRzf18+YVTeUYTdw6mUenneyprSafp1VlNY6sDC2n\n",
       "uayM26y5Ztl2DXzAu49avsxc88pl5CmJNA6vzkjD9PJLWaI1o8kSaZha/ywt3NJKW7WvSGbvs8Tr\n",
       "p9VW5llp3TPv+aKV19qTY6XJrbUz1TM9Wj9j5nYps/Vb66ccA2OcqgPbHtz/7Ef3bvg90f1hlt8E\n",
       "cJVTjhBCCCFrwNvEb4POpH57dH8z/c4APgngy7DBf0VanpDKE46VrpWJsE7JXt2R7yfTH+2adoLT\n",
       "ZNBkjr6Xfc1qrnNruVPUnz1Fb5rM/SnTLY3Q6pM2/2vk8eqPtCBPM9PqzY5FNq+2LmVbNc8I73rm\n",
       "vmnX5JhE9UiZozYieYdxsZ5nXlmvX1G+2j7X3g+LzFjVWEhk3ZplIhqPTP8jvE38NwF8CMAX0P2h\n",
       "lz8C8A4Aj8TRP49KCCGEkA0RRacfQPf/wz8F4D4Avh7dPyu5cl6xTFaRL0e7JlmHNtbisxnTxvAd\n",
       "2A2/tqRmDLdJ2/ao8YkDum94yn5mfK8t6bVla1nC3Mje603IMmdd2XiAGtmWsr6npNUnDhz7f8Q/\n",
       "0v8QQgghZAvwfNsPAfAnAG4E8Cs49p+evHtOoTysSMUSzz8ty1ptlP4iqy6Z7kVrRvk9ea3rZT9L\n",
       "37aUucxj1evJtk5a4gqsvF5/twVtzkismAVPa6+VIdJuan13mt9Vk9GT15u3ngyy/nI9aM+NTDva\n",
       "cyD7XNBkzDyDMm3J697zKmrbKuuNjzf2Xh3eOvfmRxljUTPX5Tyw5PPKR+ly32hppyW/t4n/Mrr/\n",
       "H/5gdH8e9e0A7ttf43vihBBCyIbxzOl3BPDm/vPL0f3L0DcDeObcQhFCCCEkxtPVrwTwrQA+U6Q9\n",
       "BN0ffLkLgLvOKJfFqiZIYh3IV2iyQTxlfqA+GK0sl5GhVj4yP9m545VtbXOq+qZq38o35Zhk15zn\n",
       "4qh151mvHnnr12rHk9ELJMyMiyab7JMntyarJZPnYrTkiMz22fvkBVtq17PPzewYl/Jm6pZJWt2e\n",
       "Of0CAA8UaVcBeAyA33PKEUIIIWQNbFeUT8xxmniWVo13HWRk007XEZbmX2MpIPOgaTTltegVnBoN\n",
       "oEbzXTdTWgYs7WpAWz+RBpQJ3NICaa22PO1V094zmrhsU5sjVl+y/c9o0lH9mjy1GrVmgciUs9rX\n",
       "5I3KZsbWK1fKrtVhWQTQoIl7/EpjOUIIIYRMhKfOneaUuQrAGdOLE9KsiWeY6vSv5RloObFF9WRP\n",
       "xhkZqX0fz1xaakbjLj/PcY9qZSivlbJMJZvnF271j1t1Rn5RTYYaOVqtJGP9r5rcmbItz47IeuBp\n",
       "45l8VpvevMxaGmv66ckeyRjJUSGvul970el/C+AvjWtf4ZQjhBBCyBrwNPHrAfxr6Bv5xwCcNYtE\n",
       "PqsaP4TF3FrO1H7nrB8004e5fZ9j68+MXaRBrcO/O0UbNadyIK+Rto5Fq2bYWm8Wzx/Z2n5W06uV\n",
       "cWx6LS33et1rRbY9sMnnlGyjdo5Mcb1WPjT4xH8ex/6VtpKXNUtGCCGEkEnYmej0dZ8oa9uf6uSf\n",
       "qceyNOySv3uJ/cn4OoHcn+Scqu9zaWVeTEdWWxxYt9YYtZ1dg7IOL38kT0ZLnMsyEj1PMpbR4XqL\n",
       "NbL1vrdaPudso9VyMnzUrm/s/4ITQgghZBzcxAkhhJCFsrhNfN8+/T90afm067J8zTUPz5Skmdg0\n",
       "uaL2oj4NMpSylGlRH1qYo84MXgDYtiDl0cyf5efVanXMfbLud6bv2bGQc6V1/nv1lmnSBKv10TLF\n",
       "e+Nn4a0jD3kv5DXrWVGut7K/XjuaXJE53krznmFe2SzWM0a7r+V9tPoZmeCHPC1rW9bdMn+0/JZs\n",
       "movBW7uR2T2TD8hv4nfqf985mZ8QQgghM5PdxI+I3xsjOl3JdC2/PC1p16bCOnlZJ9lMXVpAidUn\n",
       "SxaLmtNprXY0RlPOak9z1NtKjRZWU66lTGs/Lc0uo/l7Msm5bK2HqI6M1qlpuNl14skx17NiTADW\n",
       "3M8wDU1rjCwZspysL9uHdVjfpGXI2oOmnCM15bKb+HbZKQkhhBCyTJ9466sVmbq1z4DuT8n65Fo1\n",
       "q+gU6/nFhjwt7Y7Jm9G+toltkGlK7UnGR5RtWHmjfJp8WYvYFGgxJV67keZt+We1/FH8TTmGNWU8\n",
       "statmnZqYx1qrBeeX1uzGsrPmfgfy9dc4y/X5vrQvjVWci1l7+eU6zlicZs4IYQQQjoWt4lrJ68p\n",
       "/A7yxBWdhjMRwvJadJLP1qXlk9GgmoxSa8j4NbeFsZGl24qn5UR+YatMJj5C5h3yj7HitJCZ/xn/\n",
       "uFXeipzOyKC1aa0xzzKm9SfSgGvza+nyeWbNF8si42muWnvefYyisjPty7JZa6hGabHS/PfWs1Fr\n",
       "P2P9rLHclmTm/OI2cUIIIYR0ZI8x9wNwHYCvAfBn84kTstoGH6aG5/vW/Cpj+5H1N9VEeW7r2O4q\n",
       "1phv4l6UGkXWx9kqo1Z26jUxpj05FtpaA+wo60xb2lhaa9qSMdte7XNAq9e695rP2rsH1jyzNF2r\n",
       "j1rdUZrXVrZsSz6rbW9MtWc5jP06q4lf1//e5AZOCCGEkIJFmtPH+EKG8i15W3waGrX+9GwdGbK+\n",
       "v1ZqfXe7Ro1PWdM6MhpEzTyM/M2lLJYfMLMGPJlay8j2Izm8deWNQ/nba3Now4o7aInbsLTIoT75\n",
       "rCu/e/7hGi3WKpPx83pk5pMmY6QpZ8hq0vJ7NNesMZLXh7q8vmoxCy3PyUVu4oQQQgjhJk4IIYQs\n",
       "lswm/g0Afg/A+wFc3f9cNadQczPFK2nA8SaTGlN1ZBq0TCuWua800bS8kjMVVpsnStBczdhr88Yr\n",
       "V1N3pp7omteeNCV6r0HJ8mW9num0pn2g3sQuP0fjq609rW9RoFvURiSz9kpUVl5Ljqzp3xqvGjNw\n",
       "9JqYNrdkfs9c7ckv6yvTtWtWWsbFUXPfvTxRH/eHNQKvBvACAB8AcEsif4YXA3hmX9/VAJ4N4MsB\n",
       "vA7AVwK4AcBTAXx6ovYIIYSQnSNzjHk7gG+asM0DAP4fgAcA+By6jftNAB4E4G8BXADghQDuAuBF\n",
       "ouwK0F9naA33j4JKrNduouCLGnmsQJWa11usVzNKIs1nSVj3JBrDbSSSU16v7Y82p8v0Em++17YZ\n",
       "aTyZ9WXlH9Kitr02o/5qJF4DcstZZS35o/5IeS1LgGUdkLLU1B09h7N1e2Mq8Z6VWt7MOEZyWe1b\n",
       "z2hvbmdkcuaSmpjRxM8H8EoAfwDg80N/Abw+UVbj7wF8AcDtAXyp//0JdNr5o/s8F6P7j2lyEyeE\n",
       "EEJIT2YTPw/dH3nZj2PN6a2b+KcA/CyAjwL4ZwBvAXA5gLsDuLnPc3P//Tikz2E4yURaQovPwvKR\n",
       "RacrT4Yaf0dkadB8e17/ohNuS582RcbfFPk4N0l0v8rxl77HrFYeaayWNUert3YMvfsj560nn+WD\n",
       "1fCeBZoWbrXv+Ui1NSc/a+3J655GKbVR7T5odWbmkkSOaVYzrHkmynTZ94yVwGrPen62rIuoTHkv\n",
       "ZPvyule3NVaWFcLbI4DcJv71AO6P3pQ9AfcB8Hx0ZvXPAPhtdP7xkpXV3qFDh279vLe3N5FIhBBC\n",
       "yHZw5MgRHDlyJJU34xO/CMDLAXxwhEwlTwPwOAD/of/+LACPBPAYAOcAuAnAPQAcRnd4KFlFJ6V1\n",
       "Y2lG2mlrQNMKMtqxlybrLok0tiWTOT1vK9qcAWK/dKRhZ9rU0lvr1Oode1/mmMMZK4an4WU1pUhz\n",
       "zWi1ZXrNmh8zTlE/PM1X06ojjd6b+1oeTc65nm0ZS5eWX/vuzSWtX844q4mZV8weBeAKdH96dYpX\n",
       "zK5Ft2nfrhfqsQCuAXApOtM9+t9vGNEGIYQQsvNkNPEDRvoNI9r9CXQb9S0A3odOK78jgEsA3Av2\n",
       "K2YrII4QtXxpEZrfIjqt17SVqSsjX6ShW6fCqI11aK5RH4DpfNhL0MSBuL81VpsxWljLnNL6YvlV\n",
       "PVkzVqeavmXWpqUteVqfJ1+LnJH8pQw1a7hFhshXPKbOod7Ms1LTSKcYz5LaPlpr0NO4LW27Zk6L\n",
       "dpuj029I5Knlgv6n5FPotHJCCCGEJOCfXSWEEEIWSsacvk2ssua9dWCZ8a3fRSdCV0BL4E1Zj5fW\n",
       "YqZbItveJ2uOtATS1LRZthHNT6vNVtdMJmhL5qsNLoqCijSiICTtmrcOa/J4+SLXk1eP9Xyx6ome\n",
       "K167so2M2TnzrJLtWzJkXB2ZZ3H0TJZE7oHoPmXnx1CdlkhNnBBCCFkoi9XET0QyQSHbyljLydRB\n",
       "b2OZW8tv7a8XYDZVXVbeqcYjq8Vn2m69Zl3PBLNF9067L5u2Glla4VjZxliM5izX8vyZM3+mPlAT\n",
       "J4QQQnaLxW7iFX6EVF0t9clyso7oey3DyU47MWfqLuWdcvwyyFNp7Sl1tTr2z0+2yj9Vv+fWmmR/\n",
       "NSzfYDlPyvRWGSJtduq5ZLVljYnmr/W0Yc1fm5Ej8gdb3z2/r+XDzz5Lyt/Wsyha89LCV/5oeWtk\n",
       "zM47Ke8wLt6Ya9ezWnjtdW/+Z+qck8Vu4oQQQsiJzuI28TlO/nNhRYUD/slt6GNLlGaZno3izMi0\n",
       "bWyLb3yTTDEGrdpUqUlmrAbZ9qJ0L6+lWZfrSdNgZb5aOTIWrjFrK1tnNiI/K0uk3ZfttWrd5ffM\n",
       "s6gmr1bWinOw+tp63+Szf07L4eI2cUIIIYR0LEf16jCj0zcdPTgG63TYGhlalgU2p7XONcZz9GvM\n",
       "OE9Z5xxMIYenkVvWHesd4ehzrezZ/kW+/TGR/C3yTEmtJryuaPPsWpX1jnn+ZeWa++2SKZ8n/Tgy\n",
       "Op0QQgjZJbiJE0IIIQtlceb0Wz8oAV5RmqTWRFhTf8bM6F2TAXFaEEs2LduvdZgBpzCTRfdNa2Nb\n",
       "TNslVtDjcM0KVKpxvURjIpF5M+2WdWVky9wfa27Xms21deS5mrTxmgqt/54Mmkyyvoyc0f2P5ln0\n",
       "TNH6ppWzymfHxZO51hVTlqu5D2UfojWlzVnvu3VvijppTieEEEJ2iUVq4hntqkbjy+TNBuGU8mXr\n",
       "8E6zUT2Zdq1ytdfnZp2WgG0gawnaBpkzsk5pXZm6z5Gc2bWfLTM2X62MZR5gc0Gfc8zV2udjpr45\n",
       "xqf1nnl1lt9BTZwQQgjZLRaniXs+tFZNdg7W4Y+NfDZT1LktbFobmAPPMpOxtMyprWavjdHQp5K/\n",
       "Zr3XWOimal/LM4fGnJVtnX2v7XfLWG4jc6xNUBMnhBBCdovFbuLylFN+9/zV1vWpieQp2bfP/lOy\n",
       "Q7rMU6Zn2omibNelGbRSI9e29kGSnSOr1eoYTXL4nfWztsiTvaZpeTI9W9ZCm+taPd76qJnfw1rT\n",
       "2pPXNE1TltPkstrN5LPakWW9qGmtLzVta3VpaM/pMuJatl+7dmvmd1RmyrqsdWGlefczYrGbOCGE\n",
       "EHKis/hNPHt6sU7rLafkOdD8Rt6JdzjRDqfa6KQn3jechNr6ak74Y9vaBWqtLUPerKaU1Q4srdZq\n",
       "c2qy2pmm/ZfrZCCyYmhlonZkWdlWKY/VpxrrXUa+qD6tjjJmwGtbXvesIV4dnm/c+u71KzMPrf7V\n",
       "WAFqLZfW+A9rx7ufEYvfxAkhhJATlcVt4tYJMIs8xdWcfqcg438qT4qafNoYaGWi2ACrzSw1ZeQJ\n",
       "v+UkPLXmv2mssZDjGmltUf0WWW1Qak1RPMrYcc/6GbUy2fU1Ro6hDk/r1Nav55+fylceldew7lnL\n",
       "Wq2ZC95zKttea75aavedGgvxWJkXt4kTQgghpIObOCGEELJQuIk3MKVZ1wouqakna56bwnSj1VmT\n",
       "r8XU75Ex140lGxRWSzbIqWY+aEFUVhsRtYGItcE+FtlgJ62MZuq35MwGg2b6qQWzRSZYy2XivXbV\n",
       "MrZR0KyVp8VlU9PnTHqUN+M+mQIvQHQOatrhJk4IIYQslMVt4tHpWH7WaDlNjTkNW6c471RcalTy\n",
       "tbJM/VGbnpybIvNaDbD+gLV1BctktKPy8xTBbVH72eAj7dWqFhnKMtara54mbclWlo0sIHIdyaDR\n",
       "SLuUAYEyT/R6VY3FLBpnK2gyCpJtfd61zklNnkyAoxdkuS45W+ufqvziNnFCCCGEdGz3OzjHs/L8\n",
       "ZZvUJNfVfm07pX9u05r2iU50D7Ia9hLupRenUasFbaKvcoxbxnwJ92kqMnN73WMxxT2srbOmjWze\n",
       "Yi2o+zU1cUIIIWShLHITz/7xgUwkZOmzGuNrzUYTWz6fTJmML9Dzz9WW3QQZGSLf3zr6MTauQqvD\n",
       "84VOFb2bLVebnulL7dsRcs7W+MKtdZ0tW+trrV3XLWTmfUaO1ujulnia0vpS8ywb+zzWZPLeAMjE\n",
       "E2TqLOfsWL951nK1yE2cEEIIIQvcxLXISuvU40V/yrosLSmKjpU/XrvymvYuqWxHRghn5LRO19uu\n",
       "aWfl8yL0y89z9ncq/15Wy81GC9fk9cqVaPNUa8eaZ1ltT/rBI6tSTf2Wj15by9bzxWvHkzeSTUPT\n",
       "sK02rOeOdX+stVJrifHyZi0E3hiV2vvYtSyf01YEviVbiyUjc/9r55TGnJv4qwDcDODqIu00AJcD\n",
       "uA7AZQBOLa69GMCHAVwL4PEzykUIIYTsBHNu4hcBOFekvQjdJn4/AG/tvwPAAwE8rf99LoALZ5aN\n",
       "EEIIWTxzbpR/BODvRNqTAFzcf74YwFP6z08G8FoAXwBwA4DrATw8akAzEWlmHC2gIkvmj1xoRO1k\n",
       "gl8yplBpYvSCh2oDi+YgcjVMKd+m+zqG2nmVDYKZi5qgJ8vMqAUJeS6kTHtWHeU177vncrO+e+6M\n",
       "7P3J1O3VWeNeHK5F66/leVTbRpkv22YNNfXVmsY1uTMuFu16zXpet7Z7d3QmdvS/795/vieAG4t8\n",
       "NwI4Y41yEUIIIYtjkybrVf/jXXfRtNmWoJ5M/trXK1pP3GPIviZBtoMWy0MUrKmRmQPZIBqrbk9b\n",
       "nnoOtqyZVhm20bKRYVusUHNp1HOR2T+yAZa17bWyf3QNddwM4HQANwG4B4C/7tM/DuCsIt+ZfZrK\n",
       "oUOHZhKPEEII2TzZfW5uNe0AgEsBPLj/fgGATwJ4KbqgtlP73w8E8Bp0fvAzAPwBgPvieG38mO+a\n",
       "D8367iFfaWg9HZWvgZS+jeg1Cq+uTHtRfu2aJuuJwDr7u4SxbZUxWy7K562PbLlMXiD2N3rrJNNO\n",
       "VnYvv7Uua8cDmOb1Qk2mbP21z+CMH9l71S7TxpDXG99sPilrZj7VIvqr7tdzauKvBfBoAHcD8DEA\n",
       "Pw3gJQAuAfB96ALYntrnvaZPvwbAFwE8FwlzOiGEEHIiszSH6QrIRbdOgXbijDSHFg26JHua1k7F\n",
       "1h+CyJ6el6A5DlhaE6D/MZ9txJsz2bTatrR04Pi5MtcYWnPfsxRJ+WrlsvpYkvVvahpzWbdFdnwz\n",
       "98Oru6zHGr9MfZk+Rppr5l57bURrw5s/Gp61Imv5qF2XNRaVxFxSE/kuNiGEELJQFruJe6feqVit\n",
       "9H/iMLQ//NTKp53EsmkWwwlPO9V7WnjtaXZbsGSNNKJtYuiDnFNl2tRtZeZr2XbG11wrR7Zc630s\n",
       "y0V1yPUy1dyJ1rPWlid3Ri653q25lLEUyjosmWrkyn6X6ZoMU62T2vtgyWjVVaZb7Yydc4vdxAkh\n",
       "hJATHW7ihBBCyEJZht3xKKslmXwHaoIbpmhj2wO6iM/c968mEMe6NpWMXnBfbR2t12tlmcKUO0Xg\n",
       "4lyul0y7c80DLR2Y549iTfX611wogW4MbCOEEEJ2icVt4lqQgBaIMSYopqzDC7rQ5NA+Z14b8+ry\n",
       "rkfBFFHepQSBZcjMgW3rryZP9AqKlZ7tmxacOfxkAyOnCFAr69e0Uu9+egGZXiCUthakfGXftOeB\n",
       "FaAWPZui8dDqiL5n5bDa1eaAzO9dl88273mYfWbKPDXj7SHvn9Z3bby1tge5rPvtzbtIPmtcLBa3\n",
       "iRNCCCGkY7vUkhjzj71IPK03g6YdjEXK5LWhya+dAjN/OCOSaRO+9DFtrVPOufHm6dBPTftb99hF\n",
       "5ax+aH3w0rT6rHHIyBqtsZY/6OFd17T6DFPO6W1YW3I85GetvXU/i8a0Z/XP6ucUsoI+cUIIIWS3\n",
       "WKQmDugaam2Ua3TizpSX7Xpag3fyL/ulneY1v4hM9zSBSFPfBe02cw+2hWjOWlYWWSajIXuaj8TT\n",
       "KObS0so2yjyWXDWyZP2lUftT4K3joU1rTXv3LNOG1V62TKYtz+KSlTXS3q3nXeZZm5GnbCNj7bTW\n",
       "iGwM4q0AAA9XSURBVPfb6nsCauKEEELILrHu/yc+Gu30XabVaApRXZ4mUp6svNO1liZPifLEp2lY\n",
       "kQYSjUGkfW+rxhqh9WEJfYpO4tn7aWnZMt9wzas38udG2k6Lpl6jGUlq2xurEXlWNOsZIct5Y26t\n",
       "94w8WQ1Vlo/GXvZD1psZ/8jqUvM887TbqE55zdOyrXvnWUU8q6jWH2suRPJJqIkTQgghC2VxPnHP\n",
       "z5Hxi2yaVh+mdjKM/EVTyTZmHKe8L9m6tDEE8m81WL69TbHp9iMZNrn2tmFsJK3ztKXebJnoOVKz\n",
       "NqakxZqzDjnGtje1jP19o0+cEEII2SW4iRNCCCELZXGbeBlIFr0ykKnLqru8rgWveW1mg1G861aQ\n",
       "kZRFCxKRAXdeYFBGtilN6WPqy5rIrTGpaSMKLMvQOi/HEs1rL5/3XStvBXhmzbNRW9o8LtMypldr\n",
       "LWTuT3btROWnWAfWM0BrzwpA09aCFSDnpVlYc0jeB63t4bvXvxqiccrM71JGay5ZfWuRV/scsbhN\n",
       "nBBCCCEdiwtsA9b76lAm8MILrivzAPFrBWWall+WkZ+9YKyaAK9dYBuDngas+1Zen0P2OYIXx8gC\n",
       "xK8/Zq5561TTqAas9eKtH4m3DjN9stZt9KzR5IjaytQr2/fGMlOnLJdJt9qy+l8btGqVs57lNfPL\n",
       "GoMx9G0wsI0QQgjZJRa5iWd81LX+Ce+UXV73fFvaSd87uQ6nNM9HpclZlil94KU/yZJTytjqh9kk\n",
       "WTk3rYV7ckZ++rGyt/pssz7g2vo1xsZGlHO4RUuScQ9WfVqZ4f55dci1VdPfSCuVzwCvrNWHCEvj\n",
       "lene80aWy8oTPY+tch6RlcTLY2nwXn3rsm4tchMnhBBCyAJ94q0nm6X4R7N55KlQ+ntqT+cZnyBZ\n",
       "DzX+zJY4jHXKt652rbyW/zMzbrKMvGbVa5XL+nsj+SI8/7bWl9pnhddmS/6aeao9B6eStWXdRbJb\n",
       "PvZa2ekTJ4QQQnaQE2YTrzzx3PpZ87+X12Q5zdfcIpvli9K+lye6jM9Kk7HGL0/mpcafGeX1NMly\n",
       "fpfzOZq7nv+8Vhvz1pf2uSyXkTFTr/wt14r0lVsxMJqWaPlGo1iYMr4l80zSLHPReGhzI3rWRWNv\n",
       "3Tcpt3x2ac8n+VlrS+urVVb6vbV7a/UxihmJ5LUsqFZZbV1anDCbOCGEELJrcBMnhBBCFsrOBLaN\n",
       "DRxYF60BZpapr0zzTDVTyLaNZO77OgJ15mQbZBkTuLRp1ilLTdDUOuTyAqvW0W5tvky5bZpbFlPL\n",
       "yMA2QgghZAfZ6U18Hae1bECbDHCx8lvBLlYgTBmkUea35IoCYnaBKYL0NjEWVhBLNgAp20YLteMR\n",
       "WZsirKCuFqLXxLxgLPnZCirzAsIsLTwqa8kr65b1aGu6JrDXC2TT2snKqtUng8msoLMS+cxrnRce\n",
       "2bqtsai931H9Hju9iRNCCCG7zP5NC1CLfE0gep2qpf6W1wG0NO2VEatN2YbXDzkGloxlHqv9sb7j\n",
       "TeP5H7e9P/K+Z32BY/pkvcpTXrfGr3U8tbUg27fqLeWQ5TKxJbINmW7VGa1pSzss83lrXpM/shBE\n",
       "9Wllo/tn1SvHKuqH9byL5ptVrzXO8tlXq9Vm+uqVt2SsidWqfa5HfaQmTgghhCyUxUenZ7UDyw9T\n",
       "o/3OpdVl2rXkL7FOmTXtTCV3S/6p5Nt2DXzAklNqwlIDrLEytOYfPg94GnqmT61ofZfXB/ms8gNZ\n",
       "Td677q1HTWaLjDWhlbHPRJlW00Z0v7S8LZaVlmd4Rv5s3kj22nuQnC9rj05/FYCbAVxdpL0MwIcA\n",
       "XAng9QDuXFx7MYAPA7gWwONnlIsQQgjZCebcxC8CcK5IuwzAgwCcDeA6dBs3ADwQwNP63+cCuDAr\n",
       "W/Y0NfioNN9cpq6xfnbve6ZdKX95grN84TX9a6G2vij/VOO/BC08g+Yrbx3zmnVSfi7nUfk78mVm\n",
       "ifx9Ud+t+d8qT6bOzNrT8kdt1PhBB39wrY88kiHq+1CXZw2M2h/kls82q5yXt+UZV2stiqxOmTkQ\n",
       "yWHd+8z9nXMT/yMAfyfSLgdwS//5XQDO7D8/GcBrAXwBwA0Argfw8BllI4QQQhbPJgPbngPgTf3n\n",
       "ewK4sbh2I4Az1i4RIYQQsiA2tYn/FIDPA3iNk0e1R5RmpCNHjqjXW9BeKYnyS3OW9QqFZvLRTOyl\n",
       "DBk5vEA2TS7ZRvl7V0zQQP293BTWmGfuRcZsGRHNOW8eTh285qVF17Vr1hzQzLpaXi9NBlLJMcyY\n",
       "Q616s+vWq88q442jlL2UxZsjllk9krEsp90HKYvsl1Yu034ZkBb9SJmtMcqMtZYuXQSlfEeOHMGh\n",
       "Q4fUuiSb2MS/F8ATADyjSPs4gLOK72f2aS57e3tTykUIIYRsnL29vVs38Yh1b+LnAvhxdD7wfynS\n",
       "3wjg6QBOAXBvAF8N4N1aBVqAmrzeghUAZJ2svNO4ls87McoTZxToobUvr2nBH1qQ0tLRxnTX+lhD\n",
       "bcCON1bZAK/hc41GlG3DK2dpO7JfXvCWXCeyTzJt+G6Vl8GnUeBTWZe02llrWKtH9l/+9uSwnnmy\n",
       "7kwAYTQH5Jhm5LK0VyljhHbf5dh44+s9R715kZUzcx805vyLba8F8GgAdwPwMQAH0UWjn4IuwA0A\n",
       "3gnguQCuAXBJ//uLfdqJ9wQmhBBCKthup+Hx3Lqxa6eWTFrmektdHt5p28pr+Y9kmlZ/Sc1puraP\n",
       "0Thpcnnj4LU/ZvzHlm8tW3OvvVO4pr149Wj3IDu2VtkB735qsnlE68LTgLU6rHotOTP1eZavaDwz\n",
       "+bzrVn6rjFdfdh7UyKOV0eaidl2W1ca9ZXyzz/Sa55FV1mo7cx+079566OtU92v+2VVCCCFkoSxO\n",
       "Ex+jjc2BpwXJPOV3YDqfraWx1GiQYzXdTbFUuS0y/Zl6/mTbjzSFMXMtskaMlT2bT7NkSY2xvGaV\n",
       "KdvxtHnZjtWGJ6dlfWkha3WpsbDJesv88rql2XpzrcWqZ8kw97MksgR5eUFNnBBCCNktFqmJb6v2\n",
       "1epvqjlJtmjZmgw1/qTaNtZxb7Z1DtQyp6++tu5IE6zRIsbKOVbTt2QfyPi9s5aBKS0jWZ/u1GQt\n",
       "MLV1AvG41D4by/Qp149lhah5po+VK7BkUBMnhBBCdonFbeLW6ak8RcnPw4/ML0/nXptjqT2VWflr\n",
       "Tnmy76uV//7sFKxLO94FLRzI9cOaf1FZy2eblSsb9Ss/W2vL64eV39J2rPUu82p9ktctzVqmWWtm\n",
       "yrXkyT4VWv/mehZY91bLZ13z0mstTeVvbR5IWWqsE5lYhoiWcovbxAkhhBDSwU2cEEIIWSiL28Q1\n",
       "E4g0bcjP0oys1TPgmelkPu/VkhqTlWWm1P7Bi1ePLC9lktda6p0Tq7+7iHV/p3DdSKzgndLdEr06\n",
       "pa0fa91ZJsnDhw8fI5dnfizriNaSZeIu+yjr0tauFxAnzcKW66D8fOTIkSq3nYUsr9Vp5YnGLlN3\n",
       "Fm/9Ri6WMc9dK7/Xf8/NGtU51HHkyJHj5s2YZ2iNa6pkcZv4icSJtKkB7O+uw/7uNuzvZljkJu6d\n",
       "omvKeyf48rNWfxSM4Z12x5CtSwtim/JVmAzWyXKb2JQ8q9UK559//q0yZOekR621pbRSRe16Go3X\n",
       "nkemX55VINtGto5SQ9MsdjVWB639iBoLWRSc593XTLmo/QzlWMpnUBSM6I1FVr5MkJploW0JMNSs\n",
       "XK1Y80tjkZs4IYQQQoyXx7eYKwCcvWkhCCGEkDXyhwD2Ni0EIYQQQgghhBBCCCGEEEIIIYQQQgjZ\n",
       "DW4B8PLi+wsAHJyg3v8C4KMAPmtc/3d92w8t0l4K4Or+56lF+r0BvAvAhwH8FoCTi2u/2KdfCeDr\n",
       "ivRzAVzbX3thaycmZA/ApZsWghBCyG7xLwA+AuCu/fcfwzSb+MMBnA59E78jgLcBeAeObuLfAeAy\n",
       "dK+U3h7AuwHcob92CY5u6r8M4D/2n58A4E3950cA+JP+80kArgdwAN2GfwWAB4zsz1j2wE2cnKDw\n",
       "PXFC5uMLAH4FwI9MXO+7AdxkXPsZAC8B8Lki7QHoNvZbAPwTgKsAfDu6V0zPAfA7fb6LATyl//zk\n",
       "/jvQaeqnojs4PBzdJn4Duv79Vp9X8l3otP4r0L0eA3Qb/9sAvLf/eVSfvtfneQO6Q89LADyr7+dV\n",
       "AL6qz/drAF4B4D0A/gzd4UTy5QBe1cv8PgBP6tMf1Ke9H51l4b5KWUIWBzdxQublQgDPAHAnJ88e\n",
       "us1F/vxxZVsPBXAGjmrQA1eiM4HfDsDd0G3cZ6KzEHwa3eYOAB/vywPAPQF8rKjjxv6alS75zwAe\n",
       "D+BrAXxnn3YzgMcBeBiAp6Mz1w88BMD3oztwPAvAfdAdGH4VwA8V+e4F4BvQbeCvAHBb0e5PAXgr\n",
       "OuvBYwC8DJ314fsB/AI6t8DDerkJWTz7Ny0AITvOZwH8OoAfBvDPRp4jONbn3MJtAPx3AOcVacMf\n",
       "c7oc3cb3DgB/A+CdAL4EIPp7mmP+GNTb0WnylwB4fZ92CoBfQvcHm74E4KuL/O9Bt8kDnab/lv7z\n",
       "B9AdOtDLe0mR588B3F+0+3h0h4YX9N9vi27jfye6Df7MXp7rm3tGyBbBTZyQ+fl5dKbdi4zr56Db\n",
       "gCX/BOCbkm3cEZ3J+Ej//XQAb0S3ob0PwH/tfwDg1QCuA/ApdGby26DTxs9Ep42j/31WUf+Z6LTX\n",
       "k0X6WdC12v+ETpP+DnSm84ehO8j8FTpN+yR0MQMDpfn/luL7LfCfU7coaf8WXdBdybXo/PpPRGep\n",
       "+H4Ah0HIwqE5nZD5+Tt0GuT3Qdd+D6PTxOVPdgMHgM8A+Ap00eb3RrdhDRv4bXA0uO4h/c9lvSyH\n",
       "0fmvgU6Lf0P/+Y0Avqf//Eh0ZvebAfwpOg36ADrN+ml9Xsl90Pm0D6LT/s9C51IYfPnfg24jr2Ff\n",
       "L+u+vv6vQucbL3kLusPCwGDhuDeAvwDwPwD8HwAPrmybkK2Emzgh81Fu2D+Lzh89BReg80vfrv/9\n",
       "00H+U9AFlH0QnR/5GTiqwb4QwI+i01zvAuCVffqb0JmrrwfwvwA8t0//IoAfRLdZXgPgdQA+ZMh4\n",
       "Fbrgtrej88tfiO6gcAWArwHwD0V+y7S/Kq6t0L1a924c1aY/L/L8DDprwVXoTPHn9+lP7b+/H53F\n",
       "4teN9gghhBAyAxehM5UTQnqoiRNCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEELI\n",
       "svj/HcBCJXWUomYAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7579fdd90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "D in [-0.0646789371967, 0.919089734554]\n",
      "d in [0.999999582767, 1.00000023842]\n",
      "Constraints on D: True\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeUAAAFRCAYAAABKa7UBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm8ZHV55/FP0w3IfllcQDSXOIIyiTTqEDfGx42og7tG\n",
       "BAktictMJqiJxGB06JiXG+oLJiYmtguNRrBVBEFbbRn7iiuLdiOLTWRpFYg0CO1CKyDU/PGcyj23\n",
       "uqpuLefU89x7vu/X675unTpVv9+3frU8dc7vVBWIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIjI\n",
       "AvUvwFtHvO6vgOnqooiIiCxem4FtwC+BO4FvAa8FlozQ1gzwZ1UFS2SGxXm7RBaEHaIDiExQCzga\n",
       "2BN4OPBu4M3AR0dsK4NlFbeX5XYNq+pxEBGRmt0IPL3jvP8G3AccWiyvBv6htP4FwEbgF8B1wB8D\n",
       "7wB+B/wG32X9j8Vl7wd+vzi9F/BxYAu+hf53zG6RrwC+CbwXuAO4AXh2qc9XAdfgW/TXA68prTPg\n",
       "JuBvgP8o+rgSf7PRtiNwO3BYlzGYAr5Q5LoDuBB4aLGu1+16EnAZsBW4FHhiqb0ZfLy+VVznAmA/\n",
       "4JP4mF0K/F6XHOC7+u8H/hT4MXAb8JbS+p2BM4Cbi7/TgZ36jMOpwGeAT+Bj9wPgkcApwK1FH88q\n",
       "tb8CH99f4vfBsT1yijTGx/Any5UVtPU0YEPp7zfA8we87t7AecAVwCXAf+1xuacD38PzrgaWDnD9\n",
       "1xeXv6o43XYY8B38heMCYI/i/J2AM4vzNwJPLV1nBthUuo37DXj7+qnyPsiuW1EGf7F+bXH6TODt\n",
       "xekj8EL0jGL5AOCQ4vR64MSOdspF+eP4Y2I3vChdW7r8CuAefDfxEuB1eNFpey5wUHH6vwN3AYcX\n",
       "ywbcC7wLL74PAE4GPlW6/gvwx2I3+wAvKq63O/DpImdb5+3aB9/Vfxy+Z+0YvJjvXayfAf69yLsn\n",
       "cDXwI3yclwJn4Y+xbqbxMfsQXoAfA/yW2TF+O/Bt/HG+H1742/dNt3FYiT/vn1XqezNelJcCf44X\n",
       "X/D75Rd40QZ4MLNvzEQa60j8xabqgrA38HP8idppc5fz3gu8rTh9CHBRl8vsAPwE+C/F8t8z++LV\n",
       "6/p/gN+2B+AvCl8FHlGsuwy//eBbRu0Xm79gdnfqA4HLSxnWA4/tkm0cdd0HGfUqyt/BX7hhblH+\n",
       "EPD+Hm2tZ/u513ZRXgrcDTyqtO41xXXAi/KPSut2La77oB59nQecVJy2ou2dSusPwLdSdy+WPwu8\n",
       "qUdbnZbjRbat83YdD3y34zrfBk4oXf6U0rr3AV8sLR+Nv4HsZhq/3QeUzrsE+JPi9HXM3YNwFH4f\n",
       "QvdxWAl8pbT8PHxc2nso9ij62xMvyncCLwZ26ZFPZOKi55S/gT8xyh4BfAkvRhcz+655GC8D1uLv\n",
       "ujt1mzN7NLMvmNfiLxYP7LjMvvjWzXXF8kXAS/pc/0HF+ZcUOe4Dvo6/CIC/Q//GPG3dhm+pPb6U\n",
       "o9tBSQ/EX4gvLf6e1OUyvXS7D5rmQOYWpvL51/e5Xq/51/3wrbcfl877CbO7iQF+Vjq9rfjfLqrP\n",
       "wQvhz/H75rn446/tNvyx2HYLvhX5Unz39LPx3cfd7Iq/2diMbyl+Hd/VXn5clW/XAUX2sh8zt5De\n",
       "Wjr9W3zXeHl5d/rrHIv25Q9g+zEs99s5DnT0/Rt8N36rtEzR/l3Ay/G9FLfgu/RHea0RqVR0Ue5m\n",
       "FfCXeCE6GfjgCG0cA5wzxOWvYLZYHoHvbjyw4zK34weTPK5YfinwsD7Xfyi+9XkkvgtwV+B/lNq9\n",
       "Gt/NCP4motzW8/GtrYOK/trrwHfJbWDux3b+Lz7fdkSR6yOD3GgBfE75AHyOt9NPmd0z0qnfAVG3\n",
       "47tWp0vnPRyfA53PzsC5wGn4G7u98TeYvYpm21nAK/HH0rfxedZu/ho4GH+s7IVPjywptd/Z9s1s\n",
       "Pyf8e8zd3V5W5YFit7D9GN7Sp69h+16Hb30/BJ8W+vCQ1xepXLYjFnfHDyL5TOm89u6pF+O7jDvd\n",
       "hG9ZtO2P7zYu78b6J+DJxekDmN2d9ml8TurdeGHbgBfSDfiWbVkLL/an4y+c60qX6XX9TcB7isve\n",
       "VZx/f3GdE/EDad6Gzym33/F/DN9avhzfSvh2qZ/j8Bel3fEX7uPxg1qeWVynbQ/8TcBj6P5C0yrW\n",
       "NVG7+OyJz9eegY/h1aX17ct8FL/vvoDPne6Pj/21+NZheyqi0334Y+sd+EFM+wJvxKc55rNT8Xc7\n",
       "/lh5Dl445pteOA/4Z3xu9D19Lrc7vsX4C/zN4qkd6ztv11rgA8Ar8OflS/Dd8l8oXWZJj9PjOgd/\n",
       "83lZsfx/8Puql2H6fhD+WnMRPh53sf1zXqSRppl9wdmTue+ER/F64F/7rL+xz7ryZebb5XYUcw+u\n",
       "GeT678R3l3U6GN/N3c23mDs32XYC/mIJvhtvpy6XGdQ0zZlTbn9OeSs+tv+TuS/m5TllgBfiey9+\n",
       "ic8Dt4/efQJenO/ACzvMPdBrCi8gW/Ddrm8t9XMCPjVTdl/puv8L36V7J37A2NnMPcCpc3dy20fw\n",
       "OdRde6wHf2OxvrjcJnyu+z5m95p1u11Pxt8kbsULZHl6pPPAsH9g7oFdz8QPBOtmuqPvzvZ2xt/s\n",
       "3lL8ncHco687x+FUfLzKfd9QWl5W9HcAvnU8U9ymO4Gv0f15JrKonIJvgVyJv7Ds3OUy08wtCO25\n",
       "MfAXsWG36L7L3COWO3Urynsx+2R/NX5kdTfteead8XfYNsD12wfvPBz4If7Go9zWDvgLyYpieRf8\n",
       "IBTwAjBTnF7K7NHWO+JzyO2PynySuQf2LO+Rv5dpmlGUF7u3MbcoiYj8p2n8XWq7EK9h9ojNtnPw\n",
       "d8D34PN3ryqu9yX840BXM9xXHk4X7fRzQ5fz2lsHm/Bit1dp3Rfxd9Xg83zXFJc7acDrX4zfjo34\n",
       "x7baTiqucy2+BV2+DZuKftYxO5+8G761cgX+8arTmd3y2hffar+i6GuYefj2fXA3s/eBLDz74G84\n",
       "nxIdRERy2gcvOHvju40uxHcniUi1Xg38mtEOihSRBnkNPne1hf4HaIiIiEiNHoHvgt0X31I+Dz96\n",
       "WERERLqo8yNRj8c/zvPzYvlz+FGb5S81uJm5XwYgIiKy2F3B8Afkju0w/ICkXfADks7Cv0KybKH+\n",
       "Is0krIwOkNTK6ABJrYwOkNjK6ABJrYwOkNTKCfTRs/bV+Y1eV+Afz7gc/3EF8G/rksFMRwdIajo6\n",
       "QFLT0QESm44OkNR0dICkpiM7r/sbvU4r/kRERCQ57b7uzaIDJGXRAZKy6ACJWXSApCw6QFI2gT7S\n",
       "1r60wURERGoSMqcs47HoAElZdICkLDpAYhYdICmLDpCURXauoiwiIiKAdl+LiEjzaPe1iIhIdirK\n",
       "eVl0gKQsOkBSFh0gMYsOkJRFB0jKIjtXURYRERFAc8oiItI8mlMWERHJTkU5L4sOkJRFB0jKogMk\n",
       "ZtEBkrLoAElZZOcqyiIiIgJoTllERJpHc8oiIiLZqSjnZdEBkrLoAElZdIDELDpAUhYdICmL7FxF\n",
       "WUREJIklwf23EmSQiWitAg4GtgHHwpKtwYEWAI1ZTrpf4iyasU9b+3SgV2O0ZqDVKv7WRKdZGDRm\n",
       "Oel+ibNoxj5t7UsbLAGLDlCt1triiXQptKbGaMiqSpTfUGNmk0i0QFm1zVX2WI5m0QGGN5Gxt5ra\n",
       "LUtb+9IGS8CiA1SrNeXvbMd+IlkVaRaGocbM6k6zgFm1zVX2WI5m0QGGN5Gxtxrbbktb+9IGExER\n",
       "qYk+pywiIpKdinJeFh0gKYsOkJRFB0jMogMkZdEBkrLIzlWURUREBNCcsoiINI/mlEVERLKruygf\n",
       "Amwo/f0COKnmPhcLiw6QlEUHSMqiAyRm0QGSsugASVlk58tqbv9a4PDi9A7AzcB5NfcpIiIi8zgK\n",
       "+GbHeZpTFhGRpkkxp3wMcPYE+xMREZEudgJuAx7Ycb62lHuz6ABJWXSApCw6QGIWHSApiw6QlE2g\n",
       "j561r+455bbnAN/DC3On1cDm4vRWYCMwUyxb8V/LWm4vL0+WR8v5l5lnfVOXlyfLk2WZedaPsmzA\n",
       "imJ5Mwl8Cjihy/naUhYRkaYJrX27AbcDe3RZp6IsIiJNk7b2pQ2WgEUHSMqiAyRl0QESs+gASVl0\n",
       "gKRsAn2kOPpaREREEtOWsoiINI22lEVERLJTUc7LogMkZdEBkrLoAIlZdICkLDpAUhbZuYqyiIiI\n",
       "AJpTFhGR5tGcsoiISHYqynlZdICkLDpAUhYdIDGLDpCURQdIyiI7V1EWERERQHPKIiLSPJpTFhER\n",
       "yU5FOS+LDpCURQdIyqIDJGbRAZKy6ABJWWTnKsoiIiICaE5ZRESaR3PKIiIi2ako52XRAZKy6ABJ\n",
       "WXSAxCw6QFIWHSApi+xcRVlEREQAzSmLiEjzaE5ZREQkOxXlvCw6QFIWHSApiw6QmEUHSMqiAyRl\n",
       "kZ2rKIuIiAigOWUREWkezSmLiIhktyw6wGhaq4CDgW3AsbBka71tVNFf3za3ANMd7RswM34/UeoY\n",
       "MyB0XGq7TSP0zWkdWZbTdVz6Xq/jcbddm4M+J7o9fjMxJvaYiXyMDM0Ye1z63d5Rx6Lu1/d52zcG\n",
       "GpdBcy6ox8Sou69bM9BqFX9r6m+jiv76trmlS/tWTT9R6hgzIHRcartNI/S9XRYb4Xpb5mlz0Dzd\n",
       "Hr+Z2OS6inyMDM3Gb6Lf7R11LOp+fZ+3fas2Z9fLpZ26HbUory1u4KXQmqq/jSr669vmuurbj1bH\n",
       "mEWLvE2dfQ+ape/11o3W5nbtLsLH76gW4+O+n363d9SxqPv1var7aNTnoJ85er/jmQI+C/wQuAZ4\n",
       "Qsf6UYvylL/jGGtAh2ijiv76tVlH+9F0m+rte9As/a43apvztdNkTRuLfrd31LGo+/W9qvto1Oeg\n",
       "nzle36M7CzixOL0M2KtjfdpN+AQsOkBSFh0gKYsOkJhFB0jKogMkZRPoo2ftq/NAr72AI4ETiuXf\n",
       "Ab+osT8RERHpYTlwCXAm8H3gw8CuHZfRlrKIiDRNyOeUlwGPBT5Y/L8L+Nsa+xMREVnQ6tx9fVPx\n",
       "d1mx/Fm6F+XVwObi9FZgI7OfEbPifxOX26ez5MmyvBw4I1GeLMvt01nyZFpun5clT5blN6DX227L\n",
       "7fOqbN+AFcXyZgJdjH9oGmAl8J6O9dp93ZtFB0jKogMkZdEBErPoAElZdICkbAJ9hNW+w/At5SuA\n",
       "z6Gjr0VERNLWvrTBREREaqIfpFiALDpAUhYdICmLDpCYRQdIyqIDJGWRnasoi4iICKDd1yIi0jza\n",
       "fS0iIpKdinJeFh0gKYsOkJRFB0jMogMkZdEBkrLIzlWURUREBNCcsoiINI/mlEVERLJTUc7LogMk\n",
       "ZdEBkrLoAIlZdICkLDpAUhbZuYqyiIiIAJpTFhGR5tGcsoiISHYqynlZdICkLDpAUhYdIDGLDpCU\n",
       "RQdIyiI7V1EWERERQHPKIiLSPJpTFhERyU5FOS+LDpCURQdIyqIDJGbRAZKy6ABJWWTnKsoiIiIC\n",
       "aE5ZRESaR3PKIiIi2ako52XRAZKy6ABJWXSAxCw6QFIWHSApi+xcRVlEREQAzSmLiEjzaE5ZREQk\n",
       "OxXlvCw6QFIWHSApiw6QmEUHSMqiAyRlkZ2rKIuIiCSxZAJ9bAZ+CdwH3AscUVrXmlAGERGRLEJr\n",
       "343APj3W6UAvERFpmvADvbQ1PDyLDpCURQdIyqIDJGbRAZKy6ABJWWTnyybQRwu4CN99/SHgwz0u\n",
       "tgo4GNgGHAtLto7YXbmdLcD0YG1W1X/V7fe73qjr6sg5jir6rOr2chojPX5GVdVt//wR8IJbRm+j\n",
       "ylyV3BcdYz/nfun3WO9yvf8cmz735ySeL4Netu9jctTrBT+W63itmoSs9WQ8+xf/HwhsBI4srWsB\n",
       "q4GV8Jeb4fQWrG9Ba02x3pj7rmWA5fM3Qqvlf+vuLNprt9nn+q0Zv+y4/Vfdfvn2rPna3PXnb+x9\n",
       "++ror8rxKC+3Zry/9e0+R2ivqts76uNn1OUqxruK8etcHuf5MGqeOY/nLXP775en3N+6O0e7Pyfx\n",
       "fOn3fO03foOOZ2f7/cZz0Ns3zPKor0d1PH6rWq6snhhe61YDK0k0dXsq8Nel5VKw1trixl4KranR\n",
       "u5jTzrrB26yq/6rb73e9UdfVkXMcVfRZ1e0d9fEzqsjbXlebldwX6/rcL/0e6/2u1+f+nMTzZdDL\n",
       "9n1Mjnq94MdyHa9Vk1BbPQkryrsCexSndwO+BRxVWl8uylP4O+Ix75RyO8O0WVX/lbVv819v1HWV\n",
       "5qzAUH1aBW30ud6oj59RVdFHa6rYoqow5zi5qrgv+t0vw16vPTbRz5dBLzvMbR/0el3bsPkzD2PS\n",
       "r1W1sdmTtdWTsKJ8EL7LeiNwFXBKx/o0m/AJWXSApCw6QFIWHSAxiw6QlEUHSMom0Efa2pc2mIiI\n",
       "SE161r4dJplCREREelNRzsuiAyRl0QGSsugAiVl0gKQsOkBSFtm5irKIiIgAmlMWEZHm6Vn75vtG\n",
       "r8f1u3LhXuDKYROJiIjIXPN9J/WvgMvnucxB+FePjaI1QIamMmAmOENGhsalG0Pj0ouhsenG0Lh0\n",
       "Y9Q/Lj1r33xbypcDT5vnMutHSSQiIiK5aE5ZRESappbPKT9qjOuKiIhIhX5SQRvaUu7NogMkZdEB\n",
       "krLoAIlZdICkLDpAUjaBPkY++voDfdbtPVoWERER6WaQo6/fBNzN3Mq+BHg/sO+Y/evoaxERaZqR\n",
       "a9964Mk91m0eNU2Jdl+LiEjTjFz79sF/E7kuKsq9WXSApCw6QFIWHSAxiw6QlEUHSMom0MfIc8p3\n",
       "VBxEREREehh1PvcsYBvwz8BVY/TfZ796axVwcNHPsbBk63iXm4RJZOnXx6jrBu5vC/7tbUUbnDZa\n",
       "mwP3N08fddxeqVbm+yHyNWaYx3kV1xs2T93PpSrGPjLXuH0seTUVH091BPBS/AExjj67r1sz0GoV\n",
       "f2vGv9wkTCJLvz5GXTdwf1vmtlHH7e1sc9K3V6qV+X6IfI0Z5nFexfWGzTPoujr6Wwi5xu0j79Rt\n",
       "v6K8thiYS6E1Nf7lJqHSLDZ8H6Ou62fO9dbNbaOOse9sc7s+bLDblOlxMREWHaC7FPeDdT878jVm\n",
       "3sd5xdfrynq326/PKlQx9nXlWl/z47W1ljGK8o7A64Av478EdWVx+nXFurHT9Vk15e9U5huYQS83\n",
       "CZVmseH7GHVdP+XrdbZRx9jP24f1vmy/dhY9iw7QXYr7wbqfHfkaM+pzqdLnoPVut1+fVahi7OvK\n",
       "teZr9T5eW1P0qX3z7dP+FHAnPod8c3HegcAJ+JeHvHzcdANkEBERWUxGrn0/GnHdoNLuVxcREanJ\n",
       "yD9IcQfwJx2X2wHfQtbHpepl0QGSsugASVl0gMQsOkBSFh0gKYvsfL6ifAx+lPWt+Jbxj4rTLynW\n",
       "iYiIyIQtAfYr/qqcA9buaxERaZqRa99jK7pMLyrKIiLSNCPXvh/g33/d629fYENEsAaw6ABJWXSA\n",
       "pCw6QGIWHSApiw6QlE2gj5G/+3pP4HvzXOa2edYvBS4HbgKeN89lRUREGmsSnxH+K+BxwB7A8zvW\n",
       "6XPKIiLSND1r33xHX4/rQOC5wEd6BRARERFXd1E+HTgZuL/mfhYjiw6QlEUHSMqiAyRm0QGSsugA\n",
       "SVlk5/PNKY/jaPyn/jbQ/0auBjYXp7cCG4GZYrl9PS1rub28PFkeLedfZp71TV1enixPlmXmWT/K\n",
       "sgEriuXN9DHMLuXD8N/SbRfyFvC5Ppd/J3A88DvgAfhBY+cCf1q6jOaURUSkaXrWvkEL4pnAHwJX\n",
       "M3dX9KsGvP5TgTex/dHXKsoiItI0Y9e+a8Zs4KnABV3O1+eUe7PoAElZdICkLDpAYhYdICmLDpCU\n",
       "TaCPkX+Qou0y4NAxAnyd7T8OJSIiIiWDbv0avqX7M+Du4rwW8Jgx+9fuaxERaZqx55SvB94IXMXc\n",
       "OeXNY8VKW5Rbq4CDgW3AsbBka2w7dZt0zuj+OK36/uf0sQU/KLJL+wvlMSHjW6j39WLMXfdtGrr9\n",
       "sWvfd8a5ch9J55RbM9BqFX9rgtqx0fsdVlW3dyL92fj91XF757S5pXf7tY21VdjWYmMx3U76eTU0\n",
       "6352+tw99Ms91G2yavvufoVeKwb9nPJG4GzgQuCeUqP9PhK1kG0r/l8GvDZBO3WbdM7o/s6uof9y\n",
       "H1uBZ/Vof6E8JmR8C/W+Xoy5675NEx+zM3v8jSvrlvJUsUU1laOduk06Z3R/dfRfbrNf+wvlMSHj\n",
       "W6j39WLMXfdtGrr9sWrfUuD94zTQR9KiLCIiUpuxa993qeeALBXl3iw6QFIWHSApiw6QmEUHSMqi\n",
       "AyRlE+ijkjnlzwOfYXbf+WKeUxYREZm4Qbd+Vxf/O6v7oF+z2UvSj0SJiIjUJm3t0+5rERFpmrG/\n",
       "ZvNhwHnAbcXfucCB4+eSPiw6QFIWHSApiw6QmEUHSMqiAyRlkZ0PWpTPxL9m84Di70Kq+UiUiIiI\n",
       "DOmKAc8blnZfi4hI04y9+/rnwPH4Z5aXAa8Ebh8/l4iIiAxrGt9l3Z5T/jzw8Ara1ZZybxYdICmL\n",
       "DpCURQdIzKIDJGXRAZKyCfQx9ueUNwPPqySKiIiIdDXf56RO7XF+u8q/fcz+035WS0REpCYj/57y\n",
       "m9h+M3s34M+A/YrTtQQTERFZpCqpfXsCbwVuBN4DPGjcBtGccj8WHSApiw6QlEUHSMyiAyRl0QGS\n",
       "sgn0Mdac8r7AG4HjgI8DjwXurCaXiIiIDOp9wPXAm4E9amhfW8oiItI0PWvffPu07wfuAe7t0eie\n",
       "Y4Rqt6E5ZRERaZK0tW/CW8qtVdCagdZaaE1V00YVbXZlFbbVobbMNWutgvM3LrzcE2H1Nl/VY2ZO\n",
       "O6sn9Di04a+yUJ8jQ7Hhr6JxqUjavcSTLsoz0GoVf2uqaaOKNruyCtvqUFvmmrVmYP0CzD0RVm/z\n",
       "VT1m5rSzZUKPQxv+Kgv1OTIUG/4qGpeKqCgX3a0tHkyXjrGl3NFGFW1O2kLMDAs392JQ1djPaWdd\n",
       "3vtTj7XuNC4VUVEuupsqtm7HeVHpaKOKNidtIWaGhZt7Mahq7MvtZL4/M2eLpHGpSFhRfgBwCbAR\n",
       "uAZ4V8f6tO8WErDoAElZdICkLDpAYhYdICmLDpCUTaCPsb/7elS/BZ4GbCv6+ibwlOK/iIiIBNkV\n",
       "uAw4tHSetpRFRKRpxv495XHsgO++vhVYj+/GFhERkQ51774G/wKS5cBewFfw/fUzpfWr8Z+GBNiK\n",
       "F/D2eiv+N3G5fTpLnizLy4EzEuXJstw+nSVPpuX2eVnyZFl+A3q97bbcPq/K9g1YUSxvJpG34b88\n",
       "1abd171ZdICkLDpAUhYdIDGLDpCURQdIyibQR1jt2w9oHzq/C3Ax8IzSehVlERFpmrCjr/cHzsLn\n",
       "lXcAPgH8v5r7FBERkRFoS7k3iw6QlEUHSMqiAyRm0QGSsugASdkE+gg9+lpEREQWAG0pi4hI02hL\n",
       "WUREJDsV5bwsOkBSFh0gKYsOkJhFB0jKogMkZZGdqyiLiIgIoDllERFpHs0pi4iIZKeinJdFB0jK\n",
       "ogMkZdEBErPoAElZdICkLLLzBEW5tRZaU/NcZhW0Zga7rEg2gz5+9TgfjMZJpC4taLWgtWaei80U\n",
       "lxvgsiLZDPr41eN8MBonWfDSHk/VgtalA2wpry2egANcViSbQR+/epwPRuMkC17qojzAk6o15e+I\n",
       "G/UEtOgASVl0gOEN+vgd63FuoyRbmIYeJ6szzQJm0QGSsgn0kbkoSw8WHSApiw6QlEUHSMyiAyRl\n",
       "0QGSsgn0kbb2pQ0mIiJSE31OWUREJDsV5bwsOkBSFh0gKYsOkJhFB0jKogMkZZGdqyiLiIgIoDll\n",
       "ERFpHs0pi4iIZKeinJdFB0jKogMkZdEBErPoAElZdICkLLJzFWUREREBNKcsIiLNozllERGR7FSU\n",
       "87LoAElZdICkLDpAYhYdICmLDpCURXauoiwiItIQDwPWA1cDVwEndazXnLKIiDRNWO17CLC8OL07\n",
       "cC3w6NJ6FWUREWmaNLXvfOAZpeU0wRKy6ABJWXSApCw6QGIWHSApiw6QlE2gj561b9kEOm+bBg4H\n",
       "LplgnzIxrVXAwcA24FhYsjU4UM0y397M2UQkg92By4EXdpyvLeVFozUDrVbxtyY6Tf0y397M2USE\n",
       "4C3lHYFzgX/Dd193Wg1sLk5vBTYCM8WyFf+1nH95m//79SY4+rUJ8tS9nPn2bvN/X9gEJ3+CWVny\n",
       "aVnLTVs2YEWxvJlAS4CPA6f3WK8t5d4sOsBwWlO+Vdaaqrkjq7n9AU3s9g7KZk+myxbNogMkZdEB\n",
       "krIJ9BFW+54C3I9v/W4o/p5dWq+i3JtFB0jKogMkZdEBErPoAElZdICkbAJ9pK19aYOJiIjURN99\n",
       "LSIikp2Kcl4WHSApiw6QlEUHSMyiAyRl0QGSssjOVZRFREQE0JyyiIg0j+aURUREslNRzsuiAyRl\n",
       "0QGSsugAiVl0gKQsOkBSFtm5irKIiIgAmlMWEZHm0ZyyiIhIdirKeVl0gKQsOkBSFh0gMYsOkJRF\n",
       "B0jKIjtXURYRERFAc8oiItI8mlMWERHJTkU5L4sOkJRFB0jKogMkZtEBkrLoAElZZOcqyiIiIkks\n",
       "Ce6/lSBDQq1VwMHANuBYWLI1OJCILCp6jQmWtvbpQK+uWjPQahV/a6LTiMhio9eYYGlrX9pgsVpr\n",
       "YX0LWpdCayo6TTIWHSApiw6QmEUHyEevMX3YBPrQ0dcLzLGwZT1wlHYriUgN9BojXWlLWUREmkZb\n",
       "yiIiItmpKOdl0QGSsugASVl0gMQsOkBSFh0gKYvsXEVZREREAM0pi4hI82hOWUREJDsV5bwsOkBS\n",
       "Fh0gKYsOkJhFB0jKogMkZZGd112UPwbcClxZcz8iIiIyjyOBw+ldlDWnLCIiTRM2p/wN4M6a+xAR\n",
       "EVkUNKecl0UHSMqiAyRl0QESs+gASVl0gKQssnMVZRERkSSWRQcAVgObi9NbgY3ATLFsxf8mLs8k\n",
       "y5NpmXnSZXGiAAAItklEQVTWN3F5JlkeLedfbp+XJc9iXjZgRbG8mWDT6EAvERGRtrDadw5wC3A3\n",
       "8FPgVR3rVZR7s+gASVl0gKQsOkBiFh0gKYsOkJRNoI+eta/u3devqLl9ERERqYi2lEVEpGnCtpRF\n",
       "REQSa60CDga2AcfCkq3BgUJpS7k3iw6QlEUHSMqiAyRm0QGSsugAObRmoNUq/tYQPKeszymLiEiT\n",
       "bSv+Xwa8NjJIBtpSFhGRQK0p30JuTU2y0wn2NZS0wURERGqi3dcLkEUHSMqiAyRl0QESs+gASVl0\n",
       "gKQssnMVZREREQG0+1pERJpHu69FRESyU1HOy6IDJGXRAZKy6ACJWXSApCw6QFIW2bmKsoiIiACa\n",
       "UxYRkebRnLKIiEh2Ksp5WXSApCw6QFIWHSAxiw6QlEUHSMoiO1dRFhEREUBzyiIi0jyaUxYREclO\n",
       "RTkviw6QlEUHSMqiAyRm0QGSsugASVlk5yrKIiIiAmhOWUREmkdzyiIiItmpKOdl0QGSsugASVl0\n",
       "gMQsOkBSFh0gKYvsXEVZREREAM0pi4hI82hOWUREJLu6i/KzgU3Aj4A319zXYmPRAZKy6ABJWXSA\n",
       "xCw6QFIWHSApi+y8zqK8FPgnvDAfCrwCeHSN/S02y6MDJKVx6U7j0pvGpjuNS3eh41JnUT4CuA7Y\n",
       "DNwLfAp4QY39LTZT0QGS0rh0p3HpTWPTncalu9BxqbMoPxT4aWn5puI8ERER6aLOoqwjq8czHR0g\n",
       "qenoAElNRwdIbDo6QFLT0QGSmo7sfEmNbT8BWInPKQOcAtwPvKd0meuAR9SYQUREJJsrCJi7XgZc\n",
       "j7/r2AnYiA70EhERCfMc4Fp8i/iU4CwiIiIiIiIiuemLRdzDgPXA1cBVwEnF+fsAXwX+HVhHcz++\n",
       "sBTYAFxYLGtc3BTwWeCHwDXAH6GxAd8jdzVwJXA2sDPNHJePAbfi49DWbxxOwV+LNwFHTShjlG5j\n",
       "8178uXQF8Dlgr9K6RozNUnyX9jSwI82eb34IsxP+u+O7+x8NnAb8TXH+m4F3Tz5aCn8FfBK4oFjW\n",
       "uLizgBOL08vwF5Gmj800cANeiAHWACfQzHE5EjicuYWn1zgcir8G74iP4XUs7q9g7jY2z2L2Nr+b\n",
       "Bo7NE4Evl5b/tvgTOB94Jv6u7MHFeQ8plpvmQOAi4GnMbilrXLwA39Dl/KaPzT74m9q98TcqF+Iv\n",
       "tk0dl2nmFp5e43AKc/dWfhn/9MxiNs3csSl7EfBvxemJj01UxdcXi3Q3jb+DuwR/8txanH8rs0+m\n",
       "JjkdOBn/KF2bxgUOAm4DzgS+D3wY2A2NzR3A+4GfALcAW/HdtU0fl7Ze43AA/hrc1vTX4xOBtcXp\n",
       "iY9NVFHWF4tsb3fgXOD1wK861rVo3pgdDWzB55N7fZ6+ieMCvhX4WOCDxf+72H5PUxPH5hHAG/A3\n",
       "twfgz6lXdlymiePSzXzj0NQx+jvgHvx4hF5qHZuoonwzfoBT28OY+26kaXbEC/In8N3X4O9kH1Kc\n",
       "3h8vUE3yJOD5wI3AOcDT8fFp+riAP1duAi4rlj+LF+ef0eyxeTzwbeDnwO/wA3aeiMalrddzp/P1\n",
       "+MDivKZZATwXOK503sTHJqooXw48ktkvFnk5swfyNM0S4KP4EbRnlM6/AD9IheL/+TTLW/Anw0HA\n",
       "McDXgOPRuIAXmZ8CBxfLz8SPOL6QZo/NJny+bxf8efVM/HnV9HFp6/XcuQB/ju2EP98eCVw68XSx\n",
       "no1Plb0A+G3p/EaNjb5YxD0FnzPdiO+q3YA/QPbBD3Jq0sc4enkqs2/aNC7uMHxLufwRDo2NH13c\n",
       "/kjUWfheqCaOyzn4vPo9+Bu4V9F/HN6CvxZvAv54okknr3NsTsQ/8vRjZl+DP1i6fJPGRkRERERE\n",
       "RERERERERERERERERERERERERERERERERERKXoh/McwhpfMOw784pw4z+BccHF0svwz/Io378K/h\n",
       "rNuXgTuZ/UWvtk8Wua7Ev71uWXH+fsV1NuK/Jb6iOH+X4ry78S+8EBERGdsa/JvIVpbOWwF8oKb+\n",
       "1jO3+D4K/yrOzvPr8nT8DUFnUS6/CTkbeF1xeiXwruL0fvh3Vi8rXfZGVJSlYRbljzWLJLA78EfA\n",
       "/8a/2x38+3PfXixvwLdk98G/g/gK4DvAHxaXXYl/TeTFwGbgxcD7gB8AX2Ju8Sor/6LWJvwrFfsx\n",
       "4OtFhuvxH3c/Hv9+3x8Avz/P9cu+Bvy6y/lfKp2+jNmfvvsPYM/i9J7M/pCEiIhIpY4D/rU4fTGz\n",
       "W6onAP9YutwHgLcVp5+GF2vwonwxsBR4DLCN2e/d/Rz+xfmdem0R99tSNnyX84PxNw03M7tlfxL+\n",
       "m9YAxzL7vcDlv093aa9zS7ltR+B7wJOL5aX4Lvdb8J8r7dytry1laZxe77ZFZDyvYLagfaZY/j6+\n",
       "JVvemn0yvhUMXjz3BfbAf7P1S/h88FX4Xq2vFJe7Ev+Ftapchv+sH/gX77f7uQp/owC+27nfb8wO\n",
       "4oP4Vvm3iuVT8Lljw38L+av4nHvn74mLNIaKskj19sGL2R/gxXUpfsDXyT0uv6TH+fcU/+8H7i2d\n",
       "fz/VPnfv7mj77tLpdj/HAW/qct3r8N3wbb1+AP5U/A3Hq0vnPQl4R3H6enzL+BD8p11FGklzyiLV\n",
       "eynwcXxr9iDg4fi88JHAL/Et4bZvMPuj6gbchm8p9irUoyq391D8J/yG8Ung8C5/L+u4XLfcfw4c\n",
       "he8CL9uE/+Yx+O7zQ4AbhswlsqioKItU7xjgvI7zzi3OXw8cyuyBXiuBx+EHer2T2R+hbzF3q7Nz\n",
       "C7TXFmnZi/Dfi30C8EVmD7jan9kt785+OvsYpJ+2b+BzzM8o+n1Wcf6/AA/CD2TbALy1OP+dwOPx\n",
       "234R/lvIdwzRn4iISFrr8QI/n79g9rPMmelALxERWbDOxQ8CWwgFt58H4AeA/RSYCs4iIiIiIiIi\n",
       "IiIiIiIiIiIiIiIiIiIiIiLp/H+cJe4/FHkg7gAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7444f7dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAesAAAFCCAYAAADR4PWHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XuwLVV94PHvGeQlKJdLhZeAV1F8AyJqIBrEIZEoEmMq\n",
       "PqIUAeNMrDHgxCSAiYGZqtSgUWNiijgqxiuKEfVqIMMoRLk6CYnI8/K6EhSCSACDYcDUIBD2/LH6\n",
       "3LPPtnef7t69uld3fz9Vu87effZj9erHr9evV68GSZIkSZIkSZIkSZIkSZIkSZIkSdKIHAtsBf4R\n",
       "OK3jsnRpf+Ay4EbgBuCUbPp64FLgFuASYF0npevWdsA1wEXZa+skzPPngZuBm4AXY70AnEHYhq4H\n",
       "zgd2ZJz18nHgHkI9LCuqhzMI++CtwM+3VMa25dXJHxG2oeuATcBuU/8bQ52Uth1wK7AB2B64FnhW\n",
       "lwXq0N7AodnzXYFvE+rivcDvZtNPA85uv2id+y3g08CF2WvrBDYCJ2fPH0fYyYy9XjYA3yUEaIDP\n",
       "Aicyznp5KfB8VgemefXwbMK+d3tCHd4K/IdWStmuvDr5OVbm9WzGVyelHQF8eer16dlD8CXgGMJR\n",
       "3V7ZtL2z12OyH/A3wNGstKzHXie7EYLSrLHXy3rCQe7uhAOYiwg747HWywZWB6Z59XAGq7OaXwZ+\n",
       "OnbhOrKB1XUy7ZeAT2XPO6uTVI8IngR8b+r1ndm0sdtAOAL8JmHjuiebfg8rG9tY/DHwO8BjU9PG\n",
       "XidPAX4A/AVwNfBRYBeslx8C7wfuAO4C7iekfcdeL8vm1cO+hH3vsrHuh08GLs6ed1YnqQbrSdcF\n",
       "SNCuwBeAU4EHZ/43YVx1dhxwL+F89dKc94ytTiC0Gg8Dzsn+/hs/mZEaY70cCLyDcLC7L2FbevPM\n",
       "e8ZYL3nWqoex1dHvAQ8T+jnM00qdpBqsv0/oWLVsf1YfzYzN9oRAfR4hDQ7hCHjv7Pk+hOA1FkcC\n",
       "xwO3AZ8BXk6omzHXCYRt5E7gW9nrzxOC9t2Mu14OBy4H7gMeJXQYOgLrZdm87WZ2P7xfNm0sfg14\n",
       "JfCmqWmd1UmqwfpK4OmEI+EdgNez0olobJaAcwk9ez84Nf1CQicZsr9fYjzeRdhgngK8AfgacALj\n",
       "rhMIwed7wEHZ62MIPaAvYtz1spVwXnFnwvZ0DGF7Gnu9LJu33VxI2L52IGxrTweuaL103TiWcJrt\n",
       "F4GHpqaPuU7m+gVCp5BbCSf1x+olhPOy1xLSvtcQVqT1hA5WY7rsJM9RrBzIWSdwCKFlPX3JifUS\n",
       "ejsvX7q1kZCtGmO9fIZw3v5hwoHdSRTXw7sI++CtwCtaLWl7ZuvkZMKlWf/Eyj73nKn3j6FOJEmS\n",
       "JEmSJEkaC4cTlSQpYQ4nKklSSV1duvUiQrC+HXgE+EtCF3lJkjTjcR39bt5woi+eec/YRsqRJCl3\n",
       "VMauWtaVAvGZZ57JZZddxmQyYTIxhse0XMfW9Xi5DqSpaJmMeXmNZd7njasc208DZxE6mUEY9OQx\n",
       "4D1T7xl2zSdqdoVfWupqFVFZ08usieXlOtBvLr/eS6pl7XCikiSV1NU560eBtwNfIfQMPxe4uaOy\n",
       "SJKUtJTzI9tyOaZ12jPmuh7zvE+zHuJq+rRF0ffH+o2UxK7PplQoZ1JpcEmSVJLBWpKkxHV1zrqS\n",
       "lFMbimds6TyNQ+z12O1kmGxZS5KUOIO1JEmJ60UaXONkOm9xqfSU9ZSGxm7Rdd6WtSRJiTNYS5KU\n",
       "ONPg0oClkm5OpRwanrGsW7asJUlKnMFakqTEmQZXdPYEltKX0naaUlmasuiVGbasJUlKnC1rRTeE\n",
       "o+KUNX0ttctrnFJa7imVJRW2rCVJSpzBWpKkxI0qDd7l0ItD7DChNLguSelzuFFJkgbOYC1JUuJS\n",
       "zp9N1n6LJGloRn7aMHdmbVlLkpQ4g7UkSYlLObdgGnwgRp7SkqQqTINLktRHBmtJkhKXcj7SNLik\n",
       "0fL00WiZBpckqY8M1pIkJS7lvMqg0uCmtCRJJZgGlySpjwzWkiQlblS3yBwT0+6S2uC+ph22rCVJ\n",
       "SpzBWpKkxKWcr5jbG3w67WLKRVIbTPeqJfYGlySpjwzWkiQlLuU8zqAGRUmJ6TxJSpZpcEmS+shg\n",
       "LUlS4lLOf5oGl6SKPM3Ve6bBJUnqI4O1JEmJSzk/YhpckkZo5Kl80+CSJPWRwVqSpMR5i0xFN/KU\n",
       "VqccR18aBlvWkiQlLuVDbTuYRWJLVxout+/e66SD2f7AZcCNwA3AKdn09cClwC3AJcC6yOWQJKm3\n",
       "Yh9y7Z09rgV2Ba4CXgOcBPwL8F7gNGB34PSZz9qyjsQjb2m43L57L3eBtb0UvwT8WfY4CriHEMw3\n",
       "A8+cea/BWiqhqBOZHcyGo+yyNFj3XufXWW8Ang98E9iLEKjJ/u7VYjkkSeqVtoL1rsAXgFOBB2f+\n",
       "N8FWtCRJc7URrLcnBOrzCGlwWEl/A+wD3NtCOZSZTCarHuq3paWlbQ8Nl8t53GIH6yXgXOAm4INT\n",
       "0y8ETsyen8hKEJckSTNiH6K9BPgGsIWVVPcZwBXABcABwO3A64D7Zz5rky8SO6CMhx3Mxsftu/eS\n",
       "6A1ehcE6Ejfm8TBYD4e9wUej897gkiSpBoO1JEmJq3rXrT2A+2IUpIoxp/aamPex1Zk0Jm7fw1TU\n",
       "sn4P8FPZ88OB7xIGNLkDeFncYkmSpGVFwfpVwA+y5+8DXg88DTgGeH/kckmSpExRGnw7woAmjwA7\n",
       "Ad/Kpt8C7BC5XIPTVA/NJlJcbfQWHfOpirKaWg5Dq+shzE/b89Blndn7vB1FLetzgIuBlwNfBv6E\n",
       "cPON/0a4i5YkSWrBWodARwNvA55OaIXfSRht7OOEFndMc6+z7uORd0pHn7as09BGy7qPy6GPZZ4V\n",
       "Yx5SXc4p7dsGwkFRpJSktJMbQoBMicFTC8hdYGtdunUg8FpgP+DfCeerzwceaLRokiRprqJz1qcC\n",
       "HwZ2BF5E6GR2AOHyraPjF02SJEFxGvwG4BBCi/rxwP8mdDA7gHDXrEMjl800uNQS0+DpcxmNRuWx\n",
       "wSeES7cgtKp3yZ7fMTVdkiRFVnTO+mOEa6u/CbyUMKIZwJ4kMOSoJEljsVYu5bnAMwkp8a3xi7OK\n",
       "aXBJKsEUebM6rk8v3ZKkITJYNyvFYO0tMiVJSlzKh2C2rKUF2eKSeseWtSRJfVQ2WF+Q/f1crIJI\n",
       "kqR8aw03uuzp2d+nxSpIFab20ucySoN1Lw2DaXBJkhJnsJYkKXFl0+BSJaZf+6XuaYu2Pzdm1tm4\n",
       "2bKWJClxZVvWf5T9fV+sglThUaXUrLrbVNuf09qmW+BgXdeRYhYjjVLkc1AUScqUDSAG68U53Kgk\n",
       "SarMDmbSgKWYzoN0y9VXs61pLSbFddKWtSRJiSvTst4J+GVgw9T7J8B/j1QmSZI0pUyw/ivgfuAq\n",
       "4KG4xdFaTB+qilTXkVTLlbKiOrM+h6/MEr4BeG7sguTwJEwOg7UkDVrt3uCXAwc3WxZJklRWmabZ\n",
       "zYS7bd0G/DibNiF+ALdlrUHzeljF0PZ65XrcuNwKLHPO+hcaLogkSaog5UMgW9YaNFskisGWde/l\n",
       "VmDKtWqwllri3bP6xQA5aJU7mO0UqSCSJKmComB9efb3U20URJIk5SvqYLYj8CbgSOC1rG6aT4BN\n",
       "Ecs1OGNLW5kebU8Tde0y6heX1/gUBevfIATr3YBX5/zfYC1JUgvKHJ79OvCx2AXJMagOZrasFUuX\n",
       "de1ylhpXuzf4DsDbgJ/NXm8GPgw80kix5jNYS4kzWHfD/cmg1Q7W5xLS5Ruz958APEpoccdksJYS\n",
       "Z7DuhvuTQasdrLfwk0OL5k1rmsFaSpzBuhvuTwat9o08HiWMDb7swGyapARMJpNtD43D0tLSqoeG\n",
       "r8zY4L8DfI1wIw+ADcBJsQokSZJWK3tIthPwDEJq+hbgoWglWjGoZoJpK8Vib3BpUDobG3w74Erg\n",
       "TsL12uuBzwJPBm4HXgfcn/O5QQVraYgM1lLjap+zXtSpwE2sBN/TgUuBg4CvZq8lSdIcsYP1fsAr\n",
       "CYOqLB8tHE+4DIzs72sil0GSpF4rE6w3Aa8q+d5Zf0zooPbY1LS9gHuy5/dkryVJ0hxlAvCfE8YI\n",
       "vxU4m9DRrIzjgHuBa5h/bnyC56YlSSpUJlhfCvwqcBihQ9hXCbfPPAnYvuBzRxJS3rcBnwFeDpxH\n",
       "aE3vnb1nH0JAlyRJc5TtvrkHYZjRNwN3AecDLwGeC7ysxOePAn6b0Bv8vcB9wHsIncvWkd/JzBa3\n",
       "VIKXbkmDkrshlRkU5YvAMwmt4lcD/5xN/0vgqgoFWN6qzwYuAN7CyqVbkiRpjjKHwq8ELp6ZtiPw\n",
       "4+aLs4ota6kEW9bSoNS+zvoPc6b9/WJl0dA5XvU4OD51e9ymxq0oDb4PsC+wM6Fz2RKhtftE4PHx\n",
       "iyZJkqA4WL8COBF4EvD+qekPAu+KWSj1ny2tcTANLrWjzNb1y8AXYhckh7keqQTPWY+DdT0alW/k\n",
       "cQKhB/g7WR04l9PhH2isaPkM1lIJButxsK5Ho/KlW8vnpZ9AfrDWQMTeCXh7UElaTMp7TQ8IWmKw\n",
       "7jdb1uNgXY9G5Zb1hwr+NwFOWag4kiSplKJgfRUrrdvZSG+rV0qEraxxcDmPW8pL3wOClpgGV12m\n",
       "ZqXG1R4bfE/gd4FnEwZIgRBIX95MuSRJUpEyw41+GtgKPBU4i3DzjSvjFSmelIbrS6ksDhkZTC+T\n",
       "FJaLJC0rs3e+mjDc6Bbg4GzalcDhsQqVaXxvmVLKLqWyxNaXNHhfypmSMa3HUktqp8Efzv7eDRxH\n",
       "uJ/17g0VSpIkraFMsP5DYB1hJLMPEW7k8V9jFiqWlI78UypLWXVbnn2Z176UU9L4pLx38qRhYkwT\n",
       "a5ZpcKlxC/UGfyuwYer9E+DkRoolSZIKlQnWfwV8A7gUeCyb1mqr1xZdObZyxqloube5TridxuX2\n",
       "vZi+r59lgvXOwGmxCyJJkvKVuc76r4FXxS6IJEnKVyYP8CPC7TIfBh7Jpk0IvcJjsoNZYvqeRkpN\n",
       "U/XpXbfGwbpeTI/2X7U7mO3acEEkSVIFZYI1wC8CP0to7X4duChaiSRJ0ipl8gBnAy8kjBG+BLyB\n",
       "MNzoGRHLBabBW2N6rRs9SsvNNaZ1p2h5FY0lX6VeUunZX0Vf1uNUy5mzXHMLVqa01wOHAv+evd4O\n",
       "uBZ43kIlXJvBuiWp7gSGLtWdRxVjWncM1vn6sh6nWs6ywbpMb/AJYbjRZeswkEqS1Joy56z/B+HO\n",
       "W5uz10cBp8cqkNSVto+8UzmyVzlFy6upZdnGbzQt1XLNSrWcpe+xUPL79iWct54AVxDuwBWbrfeW\n",
       "pJpea1uqabKUue5Ijat8zvpZwM3ACwiBc/m9y1vn1Y0VLZ/BuiXucAODdXWuO1LjKgfrjxJu4LGZ\n",
       "/MB59OJlKrTtN+vuRIe4822iA0ob9dLHnfgQ15fY2l7OfVyvtLgmlnuPBiGq3Ru8KwbrHAbreIa4\n",
       "vsRmsFYbDNbleoP/CitDi74b2AQc1lChJEnSGsoE6z8AHgBeAvxH4OPAh2MWatbS0tKqR+zPDd1s\n",
       "vUwmk22PItPvW+u9feT6EqS8nF0+49TEcm9q++5qHSwTrJcHQzmOcB77r4Hto5VIkiStUiZYfx/4\n",
       "CPB64H8BO5X8nCRJakCZdvwuwLHAFuAfgX0IQ41eErFc0PKlW33puBJjOMIYnTem9bU+2/ztLn6/\n",
       "CW2vc0PYTlP6TrWnwvJbqDf444A9WT3i2R0lP1uXwTqHwbpZBuvFGKzzGaw1a9FgXWa40d8EzgTu\n",
       "ZeX8NcS/kUerxrzyNzHvRQcOKRvzcp+njYOIut855uU15nlvQtcHx4v+XplPfwd4EXDfQr9UXT/2\n",
       "9i3ry115UipLqrreecxTpVwu53zWS3pS3d5y1L7O+g7CpVuSJKkDZdLgtwGXEXqCP5xNmwAfiFWo\n",
       "tYz5qLWJ+e3RSD6DZp0NV+xl26NWYjL63negTLC+I3vskD0kSVKLqhwW7AL8W6yC5Jh7ztoWXb62\n",
       "xwbvy/lzVeM56/TZsu5OymODHwncBGzNXh8CnNNQoUpJefjDthXVQ9lh8Po+7J7ictjVxcXeX41t\n",
       "Gbn/LxesP0gYFOVfstfXAUdFK5EkSVql7LChswOgPNp0QSRJUr6yHcx+Jnu+A3AKcHO0EpUwtLTP\n",
       "EHtnd/376q+U1uO6uix32+ezUzp/nlJZyiq7vpdpWb8N+C/Akwg39Xh+9lqSJLUg5cOObYcbfTxa\n",
       "qqKp3rdDaJGoXxwDOz1DbFm3faVLE2VZ4Ptqjw3+VML44Bum3j8Bji9ZlnXAx4DnZJ87iXD3rs8C\n",
       "TwZuB14H3D/vC4a+wQ5x/vq4wx3iTq6PrIegL+tHSuVqoyxN/0bZ7yvzri2EYHsD8Fg2bQJ8vWRZ\n",
       "Nmbv/Tgh2O8C/B6hd/l7gdOA3YHTZz433j76BfrSsk6pLGUZrKvr43Lui7rrxxDWq1kjW89q3yLz\n",
       "CsKNPOrYDbiG0DqftpVw+dc9wN7AZuCZM+8xWOcwWMdjsK6uj8u5LwzWK0a2ntUO1icABwJfAX48\n",
       "Nf3qEp89FPifhEFVDgGuAt4B3EloTS+X4YdTr5cZrHP0JVhrbUPYqbrOxTOE9UO11D5n/RxCwD6a\n",
       "lTQ42eu1PA44DHg78C3CACt56W4DsyRJc5QJ1r8CPIWVO25VcWf2+Fb2+vPAGcDdhPT33cA+wL01\n",
       "vluSpFEoc5319fxkirqsu4HvAQdlr48BbgQuAk7Mpp0IfKnm949OX8YDdizftaU6vrNj8ach1fVD\n",
       "3SizBnwdOJjQOl4+Z13l0q1DCL3JdwC+Q7h0azvgAuAA5l+65V6iopTOH6ZUFlXjXbekTtXuYPay\n",
       "OdM31y1JSQbrilLacaZUFlVjsJY6VTtYd2VQI5gNYR6kWQbr6qwzraHy/az/Lvv7I+DBmccDjRZN\n",
       "kiTNlfJhnS1rKXG2EquzzrSGymnw9Wt84Q/rl6WUUuesDYJpGvoOaejzV1aq9eB+QYvoePCpyoOi\n",
       "XE0ImEuEXtv/mk3fHfgnwrXXkiQpsqJz1hsIAflS4Dhgj+zxqmyaJElqQZk2/A3Ac0tMa1qrafAh\n",
       "3Je3aACLttOAqaZHi7R9yVIfU7Vtr2MprdPqn57u12uPDX4X8PvAp7Iv+VXg+82VS5IkFSkz3Ogb\n",
       "gT2BLwKbsudvjFkoSZK0IuU8UuOXbvUxNVtF7JRhH9O2VZgGry52mnHW9G8Mof60uLZT3S30FK88\n",
       "KIokSUqAwVqSpMSV6WDWW0O8vV/ZNEvZFO5a763zvtnf6Et6su3eon2pl2ltbFPeOERVtL0edLVN\n",
       "lwnWOwNvAZ4D7JRNmwAnxyqUJElaUSYNfh6wF/AKwm0x9yPc3KM1dW/CPvu5od/Ivez81a2LyWSy\n",
       "6tFEWfqqaP7anveyy6QJXW9HQ1+v2tbmuqPFlFnjrwUOBbYABwPbA38LvDhiucD7WefqMg1o79s0\n",
       "pbJOuD70j8svX8f1Urs3+MPZ3/8LPA9YB/xUQ4WSJElrKHPO+qOEO3D9PnAhsCvw7piFUj2xjwaH\n",
       "eOSdSqu0i99Xv8RYV13n+qPMknoq8N0S05pmGjxHx7duG5whBOtU5sF1Li7ruj19TYN/Pmfa5xYr\n",
       "iyRJKqsoDf4s4NmEc9SvJUT7CfBEVi7hUsu6vG53iGnbLoevNJWpWUUtOpfzYqps3yle618UrA8C\n",
       "Xg3slv1d9iDw1piFkiRJK8ocFhwJXB67IDk8Z52YIbaspw19/mLwPGqzrM94etRHJPdLy/zS8ghm\n",
       "z86eL5c09ghmBuscTXQwMyjl68vGHHv5tX33Ma2Ifee8prS93JvYt3W9fVf4XO0OZssjmB1LGMFs\n",
       "f1oewUySpDErE6yfRriu+kfARuCVxB+9TJIkZcoMijI7gtndtDyCmWnbZpk+j6tsvfTx7mdFadoY\n",
       "60eVMatTuhqi7umqvlwnP6Ztv8o6WGdfWrYuHcFMkqTEpXx4tO3QwxbdihgjmNmyDtqevzZ+r846\n",
       "UaWTThFb1vnvS6lTXkplKdJlB7Mqnf7KLvc1ylG5N/g7p3+HlUFRln2g4LNNsDd4jlSGlpyV8oae\n",
       "qjZ6p7aZBp/lOtEvfTkYrxuQu+4NXkHulxalwZ9ACJjPAF5ISIEvAccBVzRdOkmSlK/MYcH/IfQA\n",
       "fzB7/QTgYuClsQqVsWWdw5b1cNiyVkpsWVf//VRa1sv2BB6Zev1INq01fVmJ+qrsylf2HMwY9OVc\n",
       "X9Nlq7sONHW+sMu67rosMda5vqzH09qe966X+7IywfqThLT3JkLEfw3hemtJktSCsocILyCkvSfA\n",
       "N4BropVohb3Bc6R0dN3Ho/KmNDHvPUrLlfrtWTF64tqybva3h7YN172SIbGWde2xwbvSeI411fFs\n",
       "m/rOtoNujB11lzuktsvZ9c5/nrr1MGto58i7Ph8ae9uYVTfQdbmfnZVSsG5jbHBJktQhg7UkSYkr\n",
       "08Gsc6mmC9fSx3LGGK+66zGHUz3P2Zf1IyVdnuuue6VE3fW/r/u9oevqPL8ta0mSEmewliQpcSnn\n",
       "VRbuDZ5SGqkvl+n0pZxKg6Pa9VtfttO2BzDp+EYs9gaXJKmPDNaSJCWuF73B60oprZNSWepK6bSC\n",
       "VqRyIw/XhxV9SS+nXLZpbZezqatbpi26TtiyliQpcQZrSZISN+g0+NjEGON7Wsq9z8v+RpU0cV96\n",
       "3jeRsiub3i6qI8dWXxFj3mP3iB7CzVaakuLpHlvWkiQlLnawPgO4EbgeOB/YEVgPXArcAlwCrItc\n",
       "hlImk8m2x9gsLS1texSZrqMx1FPZehmCtud1THXbF9PLpOoQqX1YnrP7r7b3ZYvWUcxgvQF4K3AY\n",
       "8DxgO+ANwOmEYH0Q8NXstSRJmiNmsH4AeAR4POHc+OOBu4DjgY3ZezYCr4lYBkmSei9mB7MfAu8H\n",
       "7gD+H/AVQot6L+Ce7D33ZK8LNdXxoc53pCbGtbJN3FmrrjaWQ4xrJouU7QjU13UwFV3XX1+upR6C\n",
       "lOp6iHfdOhB4ByEdvi+wK/DmmfdMaGAMcEmShixmsD4cuBy4D3gU2AQcAdwN7J29Zx/g3rW+6Kyz\n",
       "zmLz5s1xSilJUuJituEPAT4NvBB4CPgEcAXwZEIAfw+hc9k68juZbWtxD+ROKo2IPQ9Fdd32dbRK\n",
       "3xBPNc0zxDvSpVSWtsW+3n0BuV8a85z1dcAngSuBx4CrgY8ATwAuAN4C3A68LmIZJEnqvZQPpWxZ\n",
       "57BlrZTYsl7se7quo5TK0jZb1glLdWWsshPosvdyFanWtfI1sQ7UHQKzL8Ncum10J/ZQq1V+z7tu\n",
       "SZKkXAZrSZISN6o0eJEuU1MppcWK0kgp33mqCSmVpW1NpKWb+O02PleXdxUblr4NWGTLWpKkxBms\n",
       "JUlK3KjS4F1epjCmS1xg3JeEdCnVFPbY1oG+XNZYdPpj3vtm39vUPLRdL2XnN5XTEbasJUlKnMFa\n",
       "kqTE9TIN3seUctdp97I9H4vqtug3Uq33sel6PZs2tHWi7VGuuk4Ft62pXvNN/3Yq67Eta0mSEmew\n",
       "liQpcb1IgzfVE3FMA260MYBJ278fW0plbmoAjjrbSpWxl5uQSm/bJg1hHsrqevnVPY3X5X0W6myX\n",
       "tqwlSUqcwVqSpMT1Ig0e4/Z6bevrwAFFmkjzdD0PdcVeDl2e3hnCKZuupbSdFmmibF3PX9nUd0q3\n",
       "z5wXw4o+b8takqTEGawlSUpcL9LgRbpOwbSty17ebYwP3KW2079t/F7T39n2OjCEU2Cz2uzZPxRd\n",
       "DvZTN9Vdlr3BJUkaCIO1JEmJ630afGxSvc1nlc+NLYU3Tx/roWgdGPpyrjveftH3FKVYUxq3e9bQ\n",
       "lu2sLnuKz2PLWpKkxBmsJUlKXC/T4HXGX51V1NOySNfpnyZ+v256LeVb/Y1Zm2ODt60vA+rEOAXQ\n",
       "xkBKTfxvVtlyNzX+fYxb/Nb9X915L/N5W9aSJCWuly3rui2EukeDKXX0iHFT+9jzN7ZrZfuuL8sk\n",
       "Rjnrtvaa0pcM37SuM25NjBPRxPfH/h5b1pIkJc5gLUlS4nqZBk/pWuMmUrp9STsWSelUwawYHUn6\n",
       "YtEOL2t9X4xUYoxrXJtQJSXe9J2Z8n6jaWMeRyHG+tn08rJlLUlS4gzWkiQlLuV8xbYcwhB7E9cV\n",
       "O20b4wbts1JaRn3sfRtbUz2ix1Rns1LaFqv8xjxtLMsm9m1dXyFQ9nvW+I7cf9qyliQpcQZrSZIS\n",
       "18ve4HWNqXdvSlIuc8plU9rq9vhOaT80hFOKda9ISPWqg3lsWUuSlDiDtSQJgM2bN3ddhCSlUC+9\n",
       "DNaTyWTbY2lpadVj6CaTCWeeeWYng5BM1/vsY1bZZbLW97Sp7bKkNO9lpVTmrpdX0TreRLm62Ld1\n",
       "GZRiz+tsfVZZRtP10lW86WWwliRpTAzWkiQlLuW88WbgqK4LIUlSS74OvKzrQkiSJEmSJEmSJEmS\n",
       "JGk83g7cCjwGrJ+a/ibgOmAL8HfAwVP/OwO4EbgeOB/YscLvHQUcsUB5JUkanUOBJwO3sTpYHwHs\n",
       "lj0/FviH7PkG4LusBOjPAidW+L2zgHfWK6okSenZAGwF/gL4NvBp4OcJLd1bgBc2+FuzwXra7sCd\n",
       "2fP1WVl2J9zo5yLgmJzPvJoQ4K8GLgX2JMzPP2ffdQ3wM9m0rxFa8X8D7J99/hPAOcDfA98hXK6y\n",
       "EbiJUB8A22Xvu56QAXhH2ZmVJKkpG4BHgOcQxjy4Ejg3+9/xwBdzPnMQIRDOPq4GnljwW0XB+reB\n",
       "j0y9/k/Ag8C9wHlzPrNu6vmvA+/Lnp8J/NbU/y4CTsien8TKPH2CkGKHMK8PsLoeDgFeAFwy9V27\n",
       "IUlSyzYQWtDLNgJvzJ4/lRCEmzIvWB9NaM3unr0+MHu9B6Fl/UXC+e1ZzyME0i2E7MDF2fQzWZ0G\n",
       "/wGhhQywffYaQut5el5n6+F4wgHBrcCfAq8g7UGcpKgcblTq1o+nnj8GPDz1PO9+888gv2V9DdVb\n",
       "ngcDHyUExn/Nph0OXA7cBzwKbAKOzPnshwhB9GDgPwM7F/zOvCA7Pa+z9bA9cD+hhb0Z+A3gY0Uz\n",
       "Iw1Z3s5LFJcKAAAAx0lEQVRAUrq+DTy/5meng+YBhED8ZkLrddlW4N2E4PsQ4Xz1FTnf9UTgruz5\n",
       "r01Nf5DV6fjLgTcAnyK00L9Robx7EE4TbCK0vOel5KXBs2UtdWv2/nyTgv/VcQrwPeBJhJT18rnp\n",
       "PyCkvv+c0CpfDsjXAZ8knDfekk2bPp+97Czgc9n7fjBV1ouAX2Klg9lvEs5VX0cI1qdOfUfRvE6y\n",
       "Ml+Wfdd5wOlrzq0kSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSYrv/wNoQ0A2eagYcAAAAABJRU5E\n",
       "rkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7440bc510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHMCAYAAABY25iGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXecHWX1/9+zu8lm00ivkBAIEEpoofcmgnQUkaKAwPen\n",
       "IkUU7IAFsIEKKgIiCgoIAgoIgkASeu8QSiihBAiB9J7s+f1xzuydvbkzd+7uvXdmk/N+vW7m3mdm\n",
       "nvOZp5zzPM/MTsBxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxVjcmAZLhZ1IOdcVpyquu\n",
       "LDW5Lm9bq5uuOE151ZWlpq6oKxHpyElVJM5+lrqSbOdRl9dhZfbzWIfl9tWaPJZVkv08llW5fbUm\n",
       "j2WVZD+XuhrqrcJxHMdxuiIeMB3HcRwnBR4wnQ4iQ0B6VjnPbtXNz3GcypHeIH/MWkVXJJfryJou\n",
       "/euqpJ3tDu2rNXW+FyACck2aA9Oly3qaZ93oZHnJcJBqDzi9bVVGHnWtAnUo29axL+axDmPtV9Dh\n",
       "5XGQ46ulpgoMzFqAw3pVzGtQFfOqB9OBPPUHx6kWWQer3FLJCHkr4MBaCekATVkLqD7yRZAtslZR\n",
       "AS3Vz1KC6udZM4ZnLcBxaoAHzBgqXVLKU5Cq8v2zXHAVcGnWIiqgmnUQBt9eVcyz1qyZtQDHqQGN\n",
       "upE8+ftcUGnAbKyJio5Rg9lNLhiWtYAK6FHFvMJA2buKedaaE7MW4MQhefJVXY1m2yb4WOlXFyU5\n",
       "o9KAmaenGFfFGSZAa9YCKqCaI9AwUPapYp5ObpCWGjwklcSq6h/qQY+ibRGyCzCrXmLyhC/J5o9l\n",
       "8btkZ5AB9ZNSltU0YEZnL9I9Ox21oNKglvr6PwIuqFRNJ1hV/UM9KDfDHFovIeWRhnquJlQaMJvL\n",
       "H1I3VrEOkepvGu+jvk6nHNUMmGGgjPlzIRkIcn4V7XWGaF11gQCfFtkEWFHhg1e7pjyuF3BaHWeZ\n",
       "q5h/qCvhzDIuYObpoaBLgOUgu9XDWKWNd1uQXiAbg/Rtv0suAjm4asrKE1OZ0mB/I9jV7nEOBRYD\n",
       "a5Q5bmQdtADSI/5FAm0OtZrOb4htB8fs3wP4ThXtdYbBwLvANOoaMKUHyHMgtXrYaF3brl/BOdul\n",
       "PO4t29brz4fWqpOdCin2myvtD6yed6uLnNKUWZIN06WazzB0lD1su3MhSUaBnFILYykdnmwW+XE6\n",
       "8AJwV9FBJwM31/HPAuKWJkPHO0o3xdN1CUD2qZWoTjAUeJXyAbNMh6sajwI3xewbCCyl3UNgEoB8\n",
       "rRP1PxRYSKH+ADkI5Gj7EXbSPCxJ74CWzzLq+5DWImA88I6+OKFSpCfIGQmzvLG23TpyzpFlMj0b\n",
       "ZF+Qk/XtMPIxyD+K7P4cWBv4hPo9WfzpOtmplDnqT0VW7iuyF/oMw8nAxDrf840SriRGZulyEsj3\n",
       "7EfooyIP/sgAEEuXdUAurp08adbVJnmMQpv9Mcg4G+T/FPitapA9dXWqPgjINiAL9KUFcoxVdPgx\n",
       "IW3HLAM5AWSH6tmP1SUg40vs2sb27W2zYQH5M8ijtn8dS7ORrjToqE9GRfJICkpl3uSxUidoAdnW\n",
       "vgcgvQt2244JrHz/CfKhalwp60bT/WIkrQnk82azwjdmyBrJ1ymttHvbR/S6ZALIM6bHGqwMt9/j\n",
       "7Pe5IF9P1iUtIIOtDu4AeUTPazvko4IGOdvy30EHPLIryHUg9mc4sjXIE/HXU8p+Renh7haQ50FO\n",
       "AXlNNZc8biMqf5KwXNsq/rwI8hDIZ60MYxys7ALyY5BL7LzrQLaw9HXRe+M7gTwF8j+QadYOjwd5\n",
       "N0GXgPwD5OkS2p4HmVSUNpHYVSgJqPx+cDn/sDc6SNhd26LsivqHJ0H6mM1qz3grqcOI/5IjSpTh\n",
       "hXXQVepNP6eY/S9F0hZE+uJZtn9j+4wDea/QF+SM9r4DrK2VWrnoQD+UY4vK6ZESZReNVVO0LGUs\n",
       "yI7mQzZEA29vkE3T2k9zD+pR4B4IrtDGx3eBXwJHAH8B2T9y7IXARego6kpgI+Ah4FZgY2AMcDuw\n",
       "BF1+XIqOUuYBH0AQVkijCi47WXnOrus09N7XGxSW9A4BTrXvx1m+l1NYQvs2yD3AHYXs5KvoiOWb\n",
       "ID9AR1hvAHPRmcQDKTS1mqapdq22NCCPo7Ok8dphmWAdYhzwGSuPfYGXgVtA7gIeBw6y7X7Ae8BG\n",
       "IF8EPkbL83e0G+mVQvYx/W+jZT8W+AuwCORraN2sqb8Zh/5fcHah8jP0hRUb2nU9C3Q3TZsBr5lT\n",
       "DZfAp1jZhaPRJBYW/f4K8Ctt2DxB2/KdPIguE04BLga2LLq+bsBngb5WNnsBV6Mv22hFlwMHA5ta\n",
       "+obJ9SjfsOPXQcvmXWA58Dra7qcBtwBXAs+AvIK24f+ghbSJ6Xkc5KfA05bPDuisvY/lKegqz1yg\n",
       "KUXb6gPBfJAT9VrZHp3l/zOifSpav0+hM4EW9On2N4BtgV3QEfijwEzav3zhKrQOLkb75p/sc0KC\n",
       "pqPRepwFbIC2s02AMync33wW+DW6KnQlyDnoikIAXAfchraX8SB7oH25DzABeMSupS/a3ocBrwE9\n",
       "ypTXCcCdCfvnFr4KaHueiLbt8cC9pi9A+8US+0wHZpi+vqqDJVYGH6eow18B3wL+CNwD8mO0bn6H\n",
       "lvVI1A9cDhyrwZ53zOYmduwHqG+9HG3fA9DyX4H6kZ7o6sdi4E1gYJn2/gRa1gAPADuhfe0UkDFo\n",
       "u7XZpryM1vMS4Ceonw0ZAXI3bTNQuRV92Gtr096qAxd2R2PPY2V0vYm2z2bgRdR/fQzsjbbjZ4C+\n",
       "ELxng63d0dsKwyH4q/nZVtR/nQx8w8okupQ8H+itgz5aUP87Kk5XudoVkMkqJCgeMXwaOBeYDfwc\n",
       "bWi3W55rAX9FO8z7aIcdBCywC+6OVnJ3tPL7oQX4kRYATcAKCHrGaBQL3usAZwGfRwNfAOyDBu0v\n",
       "A9egjfAt0xQGjunA59BOez1ayKFTW8OuY2e0g/YERqAdYgkEoxPKTaxBfIQuQTWjDvFaYHM7Zjvg\n",
       "YbTBD0M7wwvAfRDM1lEvhwJHAp9Cnc07dq1no5W/BepUWoArgK9AMCKhrB5Al8MGo+U+w8r5SfRh\n",
       "jPmWNhzteMtQx741GnSa7ZjdgVfQhnuulcm3raznADcD/8/K9ym0o+6doOsM4DG7HtB6+yxan01o\n",
       "434D7ZRnoYHqAHQwshEaMK5DB0bNVk4Napdedj0zLJ8FaMB8EXgEguMTdN1jx/4arcvFaBCeAfwT\n",
       "gscihw8CjrKyWYNCx/47OlDbA6371+2ahlv5jLZ8l6F12QpBvxhNpitunwxH2/fBaBDsCUxG62yU\n",
       "llfworattkFpk9pkXTQ4fgLBvKJ8w4HriviyIgDZCOgGwbORXQHQAkFkUCTdUac1Fe1TB5nttdD2\n",
       "ArAjWuaL0EHFGLQuFqLlusCOnwPBhDK6trE8GiF4h8KMfz7aztayYwV4Dq3DZjTIbGS2Btn+Ziuv\n",
       "DVG/FQaoZaZhMNreR8VoMl3SQJt/40jgMPQVk/8Aftzez8o6wJ5meyTaFxrsey/aghBLKDws12qf\n",
       "5ajf3Ui/ByPjy0p+YPkNQv3DTegk51g0kD6Nlv9W9n0B6geOse08tJ52snK4D+0HJ6IBaHu07nqg\n",
       "fQh00NsIwZAEXafoMfSwYxrteq6B4LYS55RBhqBtqw86qGxF41d4q6MJ9fv/g2BijK5kC5WLand6\n",
       "OEtpYqV1ZBkAMjiyvwVkc5Ch6FJq3wT7xcE7spQjA6ntfdQySy6Z0cElxprjutLjbasy8qjL67Ay\n",
       "upqu6p9URfJYmN4hKsN1pcfbVmXkUZfXYWV0KV3+/2E6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6\n",
       "juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO\n",
       "4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4Kmsrsn0y2/y/Z5IT0rHTFaQr35U2X\n",
       "12G8/bj0vNVhuC9vurwOS9tO2pc3XV6H8fYdx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ec\n",
       "x2ES+mhvVp9JOdQVpymvurLU5Lq8ba1uuuI05VVXlpq6oq5EpCMnVZE4+1nqSrKdR11eh5XZz2Md\n",
       "lttXa/JYVkn281hW5fbVmgzLShqTdlaYXi9K2vc3/TiO4zi1ZDnIWlmLqAYeMFc7ZBOQrEdvjuOs\n",
       "XgzMWkA18IC5+jE+awGO46x2rBKxZpW4CKciku4n5BARkO2yVuHEIYOzVuDkGQljTLn3lncJPGCu\n",
       "fnTFhrth1gKcWFaJe1NOzWi2bY9MVVQJD5irH10xYHaxWfFqRZC1ACfXhIGyZ6YqqkQNA6Z0Rce8\n",
       "OmAjvi5VPz6wyy8+mOkwsjoMNsIZpgfMeKQHsAxkt9rkn2dyH4h627YlUxWpaHMo7pTzS07bkezZ\n",
       "BfpiK8gOWYuoMeEMs4btRHYE6VW7/AvUIGDKp4C/248Nqp9/WftrWcDOiubyh2RKf9vm1NG1IyzL\n",
       "rqDVkC0LDylJA8hGdbIbgBxaH1vtKJo5yCEgH2ago5i7gT2zFhGP9LEvv8hURu2px5LsA8C3aph/\n",
       "G7WYYf4cCDvuOjXI35ASgUkagbeBb9fOblnyfnN7uG27whJJOGpcI/4Q+WXE+eSBh+0DsD/wYp3s\n",
       "rgfcCNK77JHVpXgwszswpM4a4jg8awEJrG/bHUHWy1RJbQn9dK376Dn1WOKuRcBcZtsHgE1qkH/I\n",
       "8BJpI2y7ew3tliNmhil7gLxdXyklGWbbPAWZImSAfQmDev/IvgBkzcJ3vgVsUT9tZeke+W5/chF9\n",
       "NZicDnJC583IbiBDIwlb2XbdmOMbbPZngxD5C8jYzuugJ8gPQMI6ytP95uNAzgfpXv7QeiKjgSeA\n",
       "W4DbgTqtQmRCOIHon3hUh2nXB2r+xHYtGvdy294LbAfSrwY2oPTsdQzwITC6RjbTELd8uCOpKlQa\n",
       "I86nFowA3gA2rqGNTiCbAR/bjzBwRt8Ssh/wjn0PZ56RMpcxIGfVUGAEWcf+TrTEyFYaKTjC4SB9\n",
       "QboBFwC/sWOaQMZ1wG53YCLwzUji2ra1mYvsUhh4SCOwE3ATcKTu4xhgn8ptr0Rv4CfAkyAXAidF\n",
       "dHZbuWykJ8ja1J47bPsd4HMgAyMDsQyREcC+9mMu8DqwZXZ6ipGGMu9+LXXOfgmDknCVqAM+TZpt\n",
       "gByjR/YAHrMfNwLTQHat3E71qPAVarI+yBKQr1gDvR7ka3bRfUAG2XHdQLbuhH0BmVVYfpImvXcq\n",
       "80DOMw3hSLonyOTCEm6nHwQo83Jl2TFm13dWdq6yh76qDlSvbGxlJyBblc6nYl2WLgHINZb3OSC/\n",
       "jxwyTgMNgAwuaKoKSXXYDeQUkMisSA4yjYNAPguy2H4fZPuPs9/NGlxFQL4YOf882r36L9ZJJulq\n",
       "tOCGtlOJDCyln80QADnN7G+mZSZn2e/o593I9+tsu0jbrlxlv3ug9zrLtS1ru7K5nfe2nRuATLX2\n",
       "f6GVq4BcSyGoTwWZUaRtEcgXEmymKauLS1yzgPwE5HWQyyKaB4H8h+q9mrFcm98FZHoJbWeCXEBt\n",
       "nnUoV4fRz1YgW9j3m2qgJY2uonS5HOSlorSEpU5pMv37xuw/EWSp+p62tA1AvlteV7uyOlv7nYwB\n",
       "6W+/o/t7gNyNxoVzQdZDn2fp6KSwpK5ya74Cchy6jHcCOhp6CZiFzubm277F9ntHdOS7JwQCsjPw\n",
       "P9ovU/4W2AN9RdtBll+4jNuEzlAXAFtAcFeMRom5nt8BpwLXAYcBf7a8TgYuBP4FTAYuAf6Izlwe\n",
       "AXYD7kFnpguB2eiS5TLbNlt6CwSvJpSbgMwBvgD8GnjaPh8DV9gx3wGuhmC6NiS6AV8GjtJy4x3g\n",
       "XeAZdEn7HruOnkBftJxPRu/Tvgm06ieYkVBWh6Kzi5BxwP3Aj4G9gQMs/Rlgc/u+B/A4uty5E7AU\n",
       "eA5YZGU63cqpF7rs0tv2YVqnAf31OlPV4VLgSfT+17rowxC7o6Pw8OGNp9BZ+mB0KfYQtM3dZWW2\n",
       "G/A82q6GAVsDtwK/R2eh49B6OQmC3VLqAm3nj6BtYYxpXMzK96sXojObvYGvo+W1PfAH4C0Ks0Cz\n",
       "U2w/YOW0WF1/AkaiTxBvBgwFfoa2r3dMS/FDd0ej5fcMWk5no231D8B9wHlo/2xCZ8JfALpB8K8Y\n",
       "XQKyHF2xuAz4FXAi2j43tWNa0dns1UXn/gi9bTMRghWW3ShgrKWlCaolyrA4XbZB2/nDwAfAsUDx\n",
       "m6NuQJdG5wJT0H4/EJiJ9rlhaNvsA8xAfVSz2WnR44OPNXgEy2I0mS4BnQ0dD8EcSx5q2kDb2k/Q\n",
       "Gdk01D9cj/athRAsp2MklJV8GvjErukBSz8CeA8tj3fRlYNX0FWJN0zvb1DfdD7aH28CTrPzX0df\n",
       "OLKl6ga9Zn6F9luAUyH4bYKuJcQ/RPkRcBUaXyZBsMRO+z7w08hx76Pt+UXgIvveB/VdARrLWuz6\n",
       "QVco14JgUildaQLmXagD+BB1sgPQzvYi6tgmAIPQh21+BMFTRVmcjC6jPYQ2wF+hjubXwIGoc+1h\n",
       "F9HNLnA4MAWCDWM02uyEB9AA+Anwewjm2+6haOf/HNrgv4cuVW0HTDU7Y83uSMtzseUzAu3k81Fn\n",
       "1IR2JPtTmWBAQrnFBfLXKX1vSYA70UY1xOz/F/i+ndOAOreNgRWm4VXgBeAzltaseoPuCWX1Ktow\n",
       "TgFe0Y4qx6CBZRR6320KcDDqOF4BTrdyehENEs9ZGfW1MuqDBsvWSNmFgXM+0E+3Qb8EXVeiA5dD\n",
       "0SB4DxrkbgPORev3XPThjVtNxwl23UegjuRp2pY4AW0/rwG7oE4mZok8NjgJyAFosGlGg8+uaD30\n",
       "R51pP3Qws9TKdA3gMxD8srQtsFH67miAn4sOLJ+3fHYHBkJwVoymUNfXrQzeBW5G+9Nxds032SD1\n",
       "dLStn4o6+i3QYNhXryUMTm3ZHoIG2bFoH34TbQ9bo3VyHwS7JpTV9cBLEPwIZBMIXkCX55ag9fky\n",
       "6ih7oMtnN6GDw/CdxsvQ2zcrUGfcYNe3HG1XS1DnGPqVnmif7AnBl+J1xZWjBFZO2wJHooH9DbRO\n",
       "W9Bl9AY0MI6gMHi29sww09poGpfZtS3QtKAl3na4ehG0lth1OBqkIys/vGR2B6N9cQkaqFrN7lC0\n",
       "33UzDcvRNjnHdAvahhsh2Cq+rORR1A80svIDW0ss325ovSxA+8ZbaP8XNGgdF3PN1wLnoD4lykxg\n",
       "UHI/jKbL+nats83+OxDMLW1SArQND0YnQbuh7Sbse832uzuFdjbCrqc38CYEW5bSlSJg1uNNHtKA\n",
       "doJWHUHJGjb6SjGC7LTtAG0ofSCYZb/7A7NiRrlJtm2pkDGos56HBo1lIOPRYLcUvdaDgMchmFbQ\n",
       "EbUnzUBvG7mG9lqAxdrhZCjamG2UGrTG6OpEWckY4K3k0b50A1aYpm6meZY5zWW10dUumwDoWxit\n",
       "t6U3FUbj4XcJUAc0xwJHjdtWxZRpW/XW1dYmO9APZWPgI135kADoAcGiomMCNKBvjbbtu9EB7dZo\n",
       "uxY0KAy14xahA79WoDsEP69cV2cIr4Nm1PGKBV9rgwTa9jtbh2F/D/udBBSC4vbo5KURDerhAGKW\n",
       "HdMNDbw97JilaP98KMZ2cWAaQLzvS9LciPpvseD2FgRLI/vDW2FRP9uYMCPPsh922H617jV0lJTr\n",
       "7nWlzD2KzMhjWSXZd12V2c6jLq/DymznUZfXYQX28/QIuOM4juPkFg+YjuM4jpMCD5iO4ziOkwIP\n",
       "mI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+Y\n",
       "juM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOk4KmMvsnk+3/SzY5IT0rXXGawn15\n",
       "0+V1GG8/Lj1vdRjuy5sur8PStpP25U2X12G8fcdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdx\n",
       "HMdxmIQ+2pvVZ1IOdcVpyquuLDW5Lm9bq5uuOE151ZWlpq6oKxHpyElVJM5+lrqSbOdRl9dhZfbz\n",
       "WIfl9tWaPJZVkv08llW5fbUmj2WVZL8oXVpA6vminZK6/E0/juM4Tt5ZCJyWtYgUAVM+BXJt7aU4\n",
       "TkeR80G+nrWK1RPZKWsFzmrDBlkLKIeAXAGS1bQ9j8sIvuRSGXXQJQLyXqUnVZheD7pg28rMN5j9\n",
       "itLrQResw0xJuyQrIJfXXE2sfSXNkuyyKgvJGdIA8qWsVTidJshagOOsfsj3Qb5ZJ2O5v4UoIBet\n",
       "2jNMGV3h9fkIsjLqNcOcXulJFabXg060LTkAZGRV1ZS37TPMymznUVcnNYmAdGZSVckM88pO2KmU\n",
       "1XWGKQHIVbotiaVLY90kObUg4xmmDCqzv2+NBdwC/LjGNmKQXtnYdZKR9UH61MFQuf/1qlpkvoq0\n",
       "GgRMWoAvAs0x+3vato6dXgTk6frZc2qLbAp8lLB/T2BOPYTUwUYp+mVk10nmFeC8rEVUkcyXZNMI\n",
       "WKGbLjsD61O0LabOAbOtHDevj73VhiyXuwaYhLj+NLROOlrrZKeYnuUPcTKi1v2inm2uSwTMcGbW\n",
       "u5ZCakjfom0x9Z5h9q+TnTJITnRUjSyXa8KyHBiz35asJG6Vo5O03W7IKmD6kmzukO72ZW6NDdUz\n",
       "iHWJgNli264aMNPOMOt1fR/YdnGd7BnSI/J9R+CThPu6OUO+BvLVrFUkMLRoW0x4f3NY501JA8jn\n",
       "QG6KJIYBq6XUGXXAZ5j5Y23b1sOvraiDDYDMVzkrCZgxAUdGgmxXLUE1IEczTFmbQqUvrb29Nru/\n",
       "ARaBPAqyCTDCdhxYPw2d4vfAr7MWkcBw2w6J2R+mD66CrTOBG4BDImlhvnEz3FrThQKmDAVZI2sV\n",
       "1UGGg8SV/VjbDqih/RbaVjXqMvjOakDYRpqAGQaSuJHKpcDD1ZFTE8rNMMPri3QiGQeyQw207Az8\n",
       "D9gV6F3HGd6ptt0GeB64Hn1I5dt1eHqzWnxSZn/Ck3ryU5BD4vd3mjVtGxcww4AaeZJWhoB05GGZ\n",
       "jUukFQVMORrkkg7k3VG6UMBkGvpEcRdHGoDpwPdjDlgHeINC26sFg03DEmInHNIC0smnaNvOT+gv\n",
       "Mrge/jRNwAxnI3EBs8RNZdmltDOoR4CQ/UHWiySEy2R2HdJcpCMclY+KpN0EPBjJM84RVspWwKMQ\n",
       "3AcsAMZXKd9KeQwN3o3AORlpqJSYGXlbZ+pWlB6dRXwf+E71JUloc03UOcXNIIehAT/6pyfTgBsr\n",
       "tNeHdn227U9ZBpv98PeZwFfaP6gnQ9q3+6r1xReA83WmU/zQk2wK8r0q2amQ2PvFzcD6keMa7Kn1\n",
       "8MGtUbX/U4yqlP2Gtj08cr8S9buyBbAucLduZezKp1eFCcBU9AnwuFn7+8AV7ZNkbIVlEMagpBWU\n",
       "GcCx8btL2av+g6wC8iHIW+j7Oq1iZG+QMAD9xxrcviC/ANnKfl+vTktOALnYjl0Ksg/I10E2AFkT\n",
       "ZFudzclW7Ru5NJD4R61yAcg/QC4F2Qtkc5ANC3+yIcNsufg/IDP0no8Etv90vacn3wa5HORdkD9a\n",
       "5+kD8qwdt542PhE7fmyCJgr7pC/IRiD7qUOXRiuzRSBb2zEng7wKchLIBDunyY7bDcQGKNIDnfGW\n",
       "q9yksvplIbDIHyN1t4td23Mg94JMB9kRZGd1dLKBOpJ2jrapyBEHZRp/kq4PrP4+tPo5TstHelp7\n",
       "2C9S/vNBPg/yWWsz24H0B/kGyCdWtn2sDte1c3YxUwLycJHeJF12fdIdDTQ7WBsaCNLN2tnplu+1\n",
       "IPNALgO52uqrwc7Zxey9AjLRtDbaR7SdAcjuIFMTNIW6ws81Vmfh73kgN9j3cyLpAnIi2g8E7XdN\n",
       "IBeC/M/KOLzW0ZHvfWk/4Egqq3cs7w9teynIp9H+93favdhA1rd9gykMNlJS8u9ck3StzcoBPCz3\n",
       "pSC9Qba0ti4ge9kxAnKzfd/SrmM52hea0UHAwPZl1G6VJm0dvov2uclWZ+eBXAdyI8htdsxU1H8N\n",
       "RScC30D7x3mW/luQ20E+BvkZ6s8+jOS/D8gKq4OkstoIZBs7fjezNRvkM+hqxfloIN7M0nYAudXK\n",
       "8XMgk0B+iPqp3lpX0mJlFLaNhkI9ioDskaIOtwU5loJPn2v5HwIy3jRuBDLGjrnIyuq7lv4vtA8H\n",
       "IK12bQ2Wx552jvkDudTaZTM64erQ08Vh5f4dZIlV4B2RSp9KwZlJmc+8SEUmHTcVZKYWTmJh/gvk\n",
       "TZCXKXSCt03rjIg9sQJ+GuSpEvaWgxxfpDH6mWLbW0lueKGu74K8F3NdX44cGqAd5U7Tu5S2N9a0\n",
       "fX8zUsaho7wG7ViXoy9k+CXIZcllFSs3ANkYdf7XgSyO2A3rda5tp4O8j3bAxZY+O6Jtmp33KjrA\n",
       "ukd/J9bhXSD3gSxABynvW14r7POa/X4S5PGENnMz6nxK7XsukudE2tpgubfXyILIeWFaa1Hefze7\n",
       "P0VnJveVsP8ByAsgx6Dtc5qlz0ED/Y0gb6RsW5+AbGM/B1m9XWv57YQ61NDu70D+ivalqJ4VrKzx\n",
       "ddu+GClzQR3x9DJldS7aJp8tkW/Ynpag/Sy6bz7qSJ9D+8ATIA+j/fpxNBC/CXKl7Rf0Hvyf0IH5\n",
       "QynqMCz/ZyPt54ESZRHW65ORfVNZubzeZ+Vr/MC2T4DcmqIObwU5FX1H94/QQdb1IH+2+nvDtD6H\n",
       "Dg7vieQ/2b7fgfqO3ujgMCyjW0C+DHIwOiAPaOvbZctqUeSaXkb79vMlrvcpq8tLQTazLI4qcVz4\n",
       "uRvkESv3x1DfEJbv/1LW4VPo4Disn7kJ9kp9PipR58X1HJaB5V1aV7lpsRSOkQDYBZ16L7Hte+jS\n",
       "0vsQrLBjmoEedu4CYFt0OW2RHsfG6PJUb+A5dIlpW8trHjDGzlsGwfMxGqV9ugyBYEbRIQ12TDcI\n",
       "FqM3x4+5JBqEAAAgAElEQVQGHkCXEnoDE4EVELymjY8t7Lpa0D/67WN6HwZ2At6C4PaEchOQi4C7\n",
       "gDvVNoNt+wYEMY1Dmu2augGLrSxHozfsewCvAiOBrbVcCNB7BovRexQfQ3BJurIqh/SGYH5R2lD0\n",
       "/tx8YDla/y2mbbHlH846e6MPAqwFvA7By5Xrkl5AEwRzQPpCMBd9wKAZLYfxdu77wBOqV3oDR5jt\n",
       "5cB/ge3Q+nwMbWPdgIeAjSG4Pl6XDEXLd2YhLZhv9dRgNpaWrk9pQpf3RwKzLPFV07Qv+icobwNv\n",
       "okuomwGz7TreiS8TRMsgKPN0tawNTIcgsoQt66JltQPwMtqGlpitvqZ3AXov8hPTuhyty8UQvBKj\n",
       "q0QdygjLq8Wur48dNwL4EHgNrb8P0PvOB5rdpWj9PI/eX/8Abf8HA88A3dEnP6ejfeoJCG6L1yXh\n",
       "vd710eW6NYApaNk3oG1JzG6jHTfctM9H6/hV29eKLnH2NW3rAB9bOS5DlyQ3VV3BVTGaYsqrHNIA\n",
       "DIPAXv0o6wFT431JfEYxtgWkz8p9Hsyfj4TgXXR1sQmChZoetS8BWjdz0X4zB21f66DtvC+wPdrO\n",
       "N0L97gao770lQVcPCJYUJfem0FYXof2pyWxaPsEi07sCve/ZB+3L66D1Pxi9TfKB7X/Ljt0Krc+3\n",
       "IHgjRlcilVZKtUkYfWRGmRFkZuSxrJLsu67KbOdRl9dhZbbzqMvrsAL7mf8hqOM4juN0BTxgOo7j\n",
       "OE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4\n",
       "Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4TgqayuyfTLb/\n",
       "L9nkhPSsdMVpCvflTZfXYbz9uPS81WG4L2+6vA5L207alzddXofx9h3HcRzHcRzHcRzHcRzHcRzH\n",
       "cRzHcRzHcRzHcRzHcRzHYRL6aG9Wn0k51BWnKa+6stTkurxtrW664jTlVVeWmrqirkSkIydVkTj7\n",
       "WepKsp1HXV6HldnPYx2W21dr8lhWSfYr1CXbgwSdVlPettdhevt51VX9k6pIHgvTO0RluK70eNuq\n",
       "jGoFTAEZ3Wk15W1XobykAaR/R06sML1edCld/mo8x3FqiHy2irO3WtKYtYCUnAh8krWI1RUPmI5T\n",
       "VWR9kE2yVpEPJAD+CayRtZJ4JPSBXcUXrpW1gNWZcu+SdRynMh5DA0RXmFXVmh5F2zzSbNvumapw\n",
       "ugRVGlXJmiBbVycvx+nSdKufKcn7MmKvom0eCQNmnoN6lKzv7a3WVGsZ4m/oyHoVR3rWyc7ZIDvX\n",
       "x5ZTZeo0s5QmYHn92mSH6G3bPAfMMFA2Jx7ldAL5Isi0DOzuAnJONXOsVsDsKuv/nWVuneycA/yg\n",
       "Trac6lKvvtDXthvVyV5H8BmmA3A8MCoDu/8POLuaGVarc3dymUCabMScd+q5BNa7/CGrCnIuyJis\n",
       "VXQx+tl2XKYqkgkDZZ5nwT7DrD2LMrJbdR9ap9GwDC3jEO/A/8NOo+2+1IpMZdSX7wHHZi2iStTr\n",
       "YZ8wYA6vk72O4DNMB9omGtI3+bCq08fsVi3O1WuGeSvwRsL+bYAdqqSlRtTtb8lCR1jvxpU124LU\n",
       "8YGZmlGvlZKwnYyok72OYA6rSwTMrjLDDINPV1iRCwn/rGhIne0Otm3V2l+9AmafMvvrdW+wM9Rr\n",
       "iXQgsAQYVHtTxYMACUDqeK9Bekc0fBq919HVqdc9zIG2zXPAHGDbfolHZUtXW5LtagEetP5nU/+A\n",
       "GfaRmPhT+cyzygEzdhZWbg07xwFThth1rQHMqFKeA0H2idk5EHgFGFS9Wa18H+Q+kOL7Xa0gEyK/\n",
       "DwSmgQyLyedQkPerowmAofYJGWt2uujfMEoTbS9vrvmffIwD7gfWrrGdzhA6rMjgT5pALIBKN5CJ\n",
       "Gdd3i23LDeprhAjIVgn7Nysqn66wzF3MAOBV6howJUDb37vEr9b9CeT+SnKtVsAMR2kbxOyfrxuJ\n",
       "jIrkeyDftR/zLC3SMOSiKmnrIDICZFPgQ+A8YF2Sl5Ur4Ub0vm0ptkUr+T0g8sYYGdsJez8Fdgam\n",
       "gPzVAnZYV9tEjtvDtt+2gcKWIGuBHAdyPHAYMKyKf8owFbgKeBnYUz/SHVgGsn/hMNnd0nOAfF4H\n",
       "ICUZAHwMzKLdrCr67k85B+TUDtq2/ioBsD/6Fp31NTiXKp96lFmijYHoa9yiqyXnouUDMAbYjcLS\n",
       "GTqAk8OrKjEW+TLa/mClN+jIoSAb2vca3Spo83frRdK2AZkd2f8MeruiyXxAuKJgg1rZIfsBpjTH\n",
       "+wTpiw5KnqO+qyG90OdA3gDi3hM8AdipfZKM1WduOoa0n7ZKd5BeIOcXOoocbqOk60D+A7IuyIl6\n",
       "HNjxs0BmFv62UFrsnI/s92P2u786ZlkDZBHxS70CcqM5/8tBfgfyA5CDNBDIYSDfsUa2L8gRFgB3\n",
       "ANnRRrY7gJysFSqbWrb/ATkdZC/TIyDvgiy27xclaKKwT7YFGQeynZZf26cRZLdI3reBfFUbvIxG\n",
       "//5SNFjIj0Ee1E4tP7X0zSLldUpp2yXL6mV10jI9YlusXv4BshXIfpZ2ZdEx4We5baeA3A3yG5B7\n",
       "QQ4E+Za1gxOsbWyNBuVPl9E1y/I8BKQHyKMgsy3tKTRgX2C/T7LT+qBLuZtqmnwV5ChNj62WUg4l\n",
       "SdcP0Xeg7o06gy1AzgAZFtE8Fp25fxNkPMjBIP8H8gjINJCjTeMUO/4AkJ72fW57XbKZto9ybUsE\n",
       "5L8gf7B8G0EmR+robyD3W12FfeoSNEgfWbApgZZ3apLKSkAigy4ZY2W1IchVIA+B/Avtcw0gt+g5\n",
       "gPZXAdkJHaCNB3kysn+AtYPAzu1u9dGrTHkVpcso2pygfAX1B6EPCj/X2v7uZk+sffemzTeBtdMg\n",
       "pk0llVVYXuOsXQ+19iEg19MW+OQHltYX9Vlibekb9v1ZkE9A9tE2L4L2QbtPKLtrO2gzOVKvIbEO\n",
       "dwY5zepspJXBSPs9xMqgn9nbGP37xp72e6S1RzG9DSBrW9YByDFWhyeC3Grt4BDUt91dRtf6IINA\n",
       "dtXylya0L/4C5AvWtifqMSud/imQN9G+/LtI+maRunzNdPeM6BWQf5epx1gEDXTPgXwEMhdkiWX6\n",
       "KsgL9v1nIHuCPG+/l4C8bfuXox3nCNTZPGjHvGfb1237JrpsKHbuB2UKM/y8DHINyNOoo5qGOo3o\n",
       "MZ+ALAKZQ8GBLbfrETQg3hU5fjnqvHcGWccawpnaOMp2iDeLbEc/Myk0+hNR57ccpNXK7EGQK6zi\n",
       "mqyyXwd5AmQeyAw7J8xvNsgrII8kl1W7n8einW08yOYlNNpSsOyKdpg90EARoJ28Gxogf4Y6lBe0\n",
       "gcmjqkPe1LqTZao9sQ6b0UASPsgwHOQBa0thIHg1oq044LeCXGZ1NxPkTpCb0IHIP0Emmb6lqCO+\n",
       "H+QGkHtStq3iz1yQ9xP2T0FnJucmHBN+HomcI2U0RXW9SJsTBdSR/AgdGEbzvxB1KreD/Llo30do\n",
       "m38LdWZTTc/1IFdb+T1jZZm2rKZYmS8usvVZCj4j+rmVwuCj1P6HKPiGm03rItRvzAF5toyu09BV\n",
       "rEsieT4Y+T4T9RnPov1sluUvFPxY9HMthcDwFoWAeqm1q9NB/pKyDqOf9yLfl1Fo10lt598x6a2R\n",
       "/O4F+biwr8PtfWGJ9Mci6aEPvQ1tm49T8MvPoL7gUHTw87ylR/KqSNcytH3dUGLfS1afE619LEPb\n",
       "3mi0vb+GDubDur8C5EOQh9E+cgHIWYW8SusqN5UXkO+gS6bPAG+jyyevAZui9yZfhiByj1Ka0DXj\n",
       "z6JLsS8Dz0LQCrIOuuT4OrqmHebRAMwBPgPcYsdMh+DeGI1SXrs007bOH0Te7i8B+gDPUvsMt7x2\n",
       "ACaa9g2AO1VzRbYFZEfgaQoPPATAcmAZep/kXQiWR07pZho+gWB+wvU0osuno9H/3HQoWi/D9Pzg\n",
       "nzG6ypSVNKLv0WxRjcG8+GPTIg3oPd/ZVoYd0RUAIyF4F13N6IYuUb+MluN7elxgDVs2ADa3PPui\n",
       "7eojtIxmaV70QuvlHQjuitclDZqvDELLeQEwDS3rRejS0nQIZqOj0+56TLCsKKv+aH29jT49e4zl\n",
       "1Yq295lou5sCrAnBBQllkqLNJyFro3W8wux/jC7Tz7O0BrSMBqDLqFPRe8oLILg5xrZY+5mAlu26\n",
       "aL9+EF2S3hKCu+2YLc1uP/RJz1FoPd1rOp6xtCYKfWUIWkZhvo22byTwPAQ3Jui62L6/AbwIfIDW\n",
       "2+vAmmo7uCVyylB0eXiMXjPvWRntgy4nboP24wG2fzLqJzayMmwFlkJwWoymUFd3tL2MQW+9zEGX\n",
       "rnfQawr7IesDL9n1rwO8b3ZXAP2Bfa2sJgHbW7k2WRm9aWXbaGlbQXBcQln1ovCcyUi7zrkQLLS+\n",
       "vJZdd5OWZbAQXaFohWApyHD01tWhwEK0LseiS/H3QxCuJA5Fb738D+3PPSF4LUHXWCuLGaZhBTAL\n",
       "glnqH9r6/ki0n/ZFffurel7wpu3vCxwJbA1cp+XBmuitsSmmeyjqX/4IbA7Bz2N0JZI0WqoHCaOP\n",
       "zCgzgsyMPJZVkn3XVZntPOryOqzMdh51eR1WYH91eaWd4ziO43QKD5iO4ziOkwIPmI7jOI6TAg+Y\n",
       "juM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO\n",
       "4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TgqYy+yeT7f9LNjkhPStdcZrCfXnT\n",
       "5XUYbz8uPW91GO7Lmy6vw9K2k/blTZfXYbx9x3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ec\n",
       "x3GYhD7am9VnUg51xWnKq64sNbkub1urm644TXnVlaWmrqgrEenISVUkzn6WupJs51GX12Fl9vNY\n",
       "h+X21Zo8llWS/TyWVbl9tSaPZZVkP5e6/E0/juM4To6RLUC+mLWKNOQyyseni4D0rJmaRNtl99Wa\n",
       "LjVSS0ivF3nU5W2rMvKoy+uwMlLoknvVt9eVVX2GKYF96ZupDMdxnFhknQycv1MlVqGASTfbNmeq\n",
       "IhHZF+TtrFU4jpMZ62YtoAsSlD+kPqxKAbOHbWu9JNsZ9gfWylpE10SuBxmZtQrH6SQrshbQBfGA\n",
       "WQO6QsAckLWA/CI/BkkaTBwG7FQvNY5TIzxgVo4HzBrQFQJm/6wFdByZADKqhgZ+CHyhhvk7XRLp\n",
       "VUdbUgd7dv9SGmtsp0rIkKwV4AGzJoQBs44drGJ6lD8ktzwB3FBjG+U6hj8ssVoho4D5dbIV+sJa\n",
       "D2rDZyy6gC+QjYEPO3F+X5DPVE1ODliVAmaLbfM8w+yetYBOUuv2EhMw256A9oDZIaQvyNCsVXSA\n",
       "frqRevSbcKDdu8Z2woAZ46ckAFmzxhrS0kc30pJ8WCz/B/ynCjp8hrkycgVIZ5bkusIMs6sHzNYa\n",
       "5x/XMUIn09XLLysmAR+AXJ61kAoJ7/kPqoOtvu230i0y66wmYRuOC0KHAu/UwG5HsAELHb0Vs7RK\n",
       "OjxgtkcagC8Dh3cikzBg5vk+oTl+qXMDkHWqlVGV8okjrlzCQVCeVw/yzGjbnlDmwaq8MdC2Q+yh\n",
       "sH93LjsZmLDTZlNtgfNj4Ceds1eSMjPMXPmvcMASM+OVBlu2jWNJ4bhOUcZfShNIXf6csIMXUnWH\n",
       "P8a24zqRRxgw6zEa7Sjhck+9/1Z0i46dJv1BDook1GiGKU32JW4G2bNoi3YQ2S3yew7I8CrpEZA8\n",
       "t6MKkIFAUyRhQlZKOkD4wMkI4PPAgelPLbmMOBNkE9vfI9LuYKUZJn2ArSP5dbd2ET2nI4R9P24l\n",
       "LHwoKMY3y3iQP6czJS2dDFbhACPSr2QtkHAAdiDwQsL5oU9OGqikodyS8N+A5ztpIxUpCrM4OEoA\n",
       "fAhyZGWmZKAuc7T93gYkHMHtB1wNNIF8yxrzjpXl3zYKijg6CQqOT3pYg++20pk1I9pYJYhoq/V9\n",
       "kmIOATkD5OL25So9QfZuf6hcD/Iz+/F14F8RJ7Ec5D8gp61sQu4F+VIH9YXOo08hSUaCPGc/wvLq\n",
       "CbKzvSnlSGCiHduAOrp1LZBuDjIAZL8O6gH4yNrL4YUnBWVLkH1ADrXR9QgrD6tn+QBkj/bZ1Gfk\n",
       "m8D2wGP2/T06vrzWQWRM+WNiGW/bUcBiy+8MkINBflDm3IW0e/+ohDO3tW37NnBR5Piw7Q2MtPd+\n",
       "IJva99C/2L1g2cTuDVf68E44KIx7+jTU0a+QJOeAnGA/DgWOs/SXQc5PsLUQOLu8pNh7lOHKVHQg\n",
       "+ggQ9svQt0beriabgIQvZwjTR9M5zD/E9qX9gPXiT5eGGi2vr2wJ5BGQT0BuUEcpU8yRfGCOY12Q\n",
       "XSxtN3UuspWlnwlyGMi5IMtBnkJfpHs8yFI752LL6xDtXLLA0sP/ZiVO1+EguxcKUS4EeRLkn5HD\n",
       "vmJ5rW/OTkA2i+xfo9ChJYh0jjJlklhep9jXsWbPlixkTbvO/4KcDjIK5FTaDUjk57TdZ5LxIHuB\n",
       "nE3bAxuyfeR7f9r/mUdSWRV//g2yN8hPaHuUXn5o9RsecxDItfZ9E9tOs+3TIH1AfkfbwEkE5FaQ\n",
       "OzRNumlHT/WuyHXt/H9F0vaztB6mVUB+A/I1+34SbSN+GWbfD7E2J4VrA8tjs0JZS0OZ8rq4RJlN\n",
       "KZEWfuaAPGPfl4Lch96Tv5RCvzgA5DKQE+z7ISCfsrbQE6RfgqZQ1xdB/mDlfr62LdkD7QfbW5tp\n",
       "sLrZCOQIs/8jy+J0kFaQDdWe9EUHGGNBxoH8lrY/d2jnYJLKap7ZmAFyDPo2qwMt/2/avj1Rn3Aq\n",
       "yHq0rQzIPqhPGAyyLdqHR9h1fBv1O9ejPmg+2hci5V62zX8E8h7IN1AfJCCXR9rQcyDHgRyL9j0B\n",
       "eR7kuyArIraeNq0Csp2ZiNQ9WB3+OUUdnmznnRlJ3l7zlcEg59Hmp2QcOqMTLQsAOct+t9j2UZBb\n",
       "QE6y/etbfTba/lu0LSSW1Vm0H0g3gWwNMhXknyBPWPvE2o+g/jLsJweif3YW+om37NgLKfTFMeik\n",
       "6WyQI2x/j2RdbV9nonEhcmtJZkXyCetiuF4/oHHHZrZyPTqgH4/2vTQrpB26/SQmLCykhSA3W+P+\n",
       "S/vG2+4znTYHKALyBjrqPxFkMcjbIA9bIzyPtlklWON+GmTPBNHF9v4LssQKSdBO+EwJXeFnZtHv\n",
       "v6IOTkAmW36PowHjv2jgPRPkt2UKMs7e7SCvo7OR/Uvsfx/t3OHvR0scM9G2s2nv0J/U4xPLqgEN\n",
       "0JuDXI06hw9AXrD8niuy9SCFQLDMvl8VU3aCOjPr1G1p91DeqX3TruVNkIfsvGtAfglyif3+veX1\n",
       "HuqUw3J4yra/RAO1oE5usX0Pg/3/RTT9w85/P1lX29cN0WD0GZAfoAGoBXWyt1ieB6BB8HLUGe4I\n",
       "cgo6+LgRDZ5z0D4QLbOlke8flSmrUm3rA7RfPl2iPsT2rUCDjTka6QnyN7R/lqqzMN8wuDytdZNY\n",
       "h3+Jsb8Cbcd/jdk/3z4fR9Ki32ehwXdDtA/anydIN9O4SxldZ0XyWm7bwyLl/kgJTefb/olWj3E+\n",
       "Y27RvptRp1xpHd4DcmUJHbPtmqWo3RxFoW9Oor2v/QTk/5XI69UyuqLHLgZ5IPL7KpDeIC+CvBux\n",
       "Gf3cEFO/D1t+l8bs/xvIU2V0fRkdJAvqH/ZAB78bFrWjUHtYz2fYdhrq74pt/8+u7e9o7LkB5AK0\n",
       "jx8EckycrjR/91buUf8WYCzwMrrcsAJdPhkFwTSQRggib7eQNYAFECwvYzvJvqBOYA3bvwkwA7gL\n",
       "2AW959HLPvcAc9D7XyuA7YBn0Xc6fgp4Er2vsLPZGwc8jd5872HXssiurRWCw+PLBEFHOHsCc9F1\n",
       "9RZgA/Q+7VUQvIXeR9kR/Run0WbjKXStfxG6lPEGugy0FF36GIvef/oY+Ah4zXTvBbwFwRnxZZVU\n",
       "z7IRsAe61DIWmArBEyATgE/Mfi+zt6bZHm/l95ppGgHcDYwEXkHvmR2g34O/x+uSy9EHAx4HbgG2\n",
       "BDZD77kOBP5raUOAa4BD0L/Le8S+TwG2RevmVuBEsy/oAwtL7fg5aFtZ2zQPgmBCx8qro0ijaVoM\n",
       "wTxLa9HfYRsI3k+wLSDNECxFl8AWFPqVtKDXtz6wOdqmnwYWQRDjkGRN9DWNY9EyesV2TEDb79vo\n",
       "UvgCCH4Qo6uorKSn2gSgQfVJA9puhqL3u7ZA29B6wB1mY6R9HgS+AlwHfBivPc5+cbo0Q7BEfVWY\n",
       "V9QfyVZqh3laBsU+SXqjy5qDge8DL6Ht7u/o3yWfDCzTa6Ub8B4EP4rRZLrkMuADOy9A2++W6LL5\n",
       "+VYey4Hvof5nLDDLPouBacBks/1vtBxnosuna6D96X50mbIJ9UPzIDg0vqxkXdSX7IT60efVXjCr\n",
       "UGYcjLaX7qhPfU31BTPQVa/uVgbDUH/XqDqCV9DZ6UhgI9T/PoD6tNkQXJ+g607gGbSd7AecYfve\n",
       "BR5GffRi4Ha0va4HvA4cbeUwU6+dBivLEaifORH1sTNQ3zDMPnPQvjAbgsNidCVSrsHWmoTRR2aU\n",
       "GUFmRh7LKsm+66rMdh51eR1WZjuPurpIHUo/9LZavV740KFy6SKFWVe8Q1SG60qPt63KyKMur8PK\n",
       "6FK6cvJ3mI7jOI6TbzxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO\n",
       "4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7jOE4KPGA6juM4Tgo8YDqO4zhOCjxgOo7j\n",
       "OE4KPGA6juM4TgqayuyfTLb/L9nkhPSsdMVpCvflTZfXYbz9uPS81WG4L2+6vA5L207alzddXofx\n",
       "9h3HcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHWdWZhD6plNVnUg51xWnKq64sNbkub1urm644TXnV\n",
       "laWmrqgrEenISVUkzn6WupJs51GX12Fl9vNYh+X21Zo8llWS/TyWVbl9tSaPZZVkP5e6/MUFjuM4\n",
       "jpMCD5iO4zhdBukOsn7WKpzS5HJanJBeD1bhJRc5BqS5KmrK2/e2VZntPOryOqzMdhV0ybdAOpJP\n",
       "HssqyX4udfkM04nyF2D3rEVUF9kNJMhaheNUiTWqn6XcCrJd9fPNAukO8uVa5e4B0ymmf9YCqsxE\n",
       "YIPaZC0TQPaoTd6OUzf2Bw7NWkSV2Aa4olaZl3v5urP6MSBrAdVDwvY9qEYG/mt5+wwWORZ4HYL7\n",
       "s1bidIhVJRZYX5QGCFqrnbnPMDNHnqjBfcOO6AjbQt9MZVSXPrZds0b596tRvl0MCYArgQuyVlI/\n",
       "5G8gO2etoop0y1pAleht2z6JR3UQD5iZIg3ABGBg1kqAHkXbVYEw+A+uUf5NwJIa5d2VOMq2izJV\n",
       "UV+OAg7JWkQVWVVmmP2LtlUlRcAUD6q1IxwF9U48qj602LZnpiqqS9+ibRWRcJn3uernHWuzd04f\n",
       "YApn2qtJwGyrg9mZyqguq8oMMwyUNbm1lCYYDgMZDLIvSBcpVGnUR6+lOedPf61RtM0SD5iVEQbM\n",
       "egawecAP62gvLeEsezUJmJnetrCZYNV9cff4XfJDkKFVtlcrMg+Yo4GzgdvJZ2ctxVq2fR14GKSO\n",
       "AUm2Bdks5cGhrjzcN2wp2q4KhEvdtSjfvsACanSvJIEf6YAwV6yBzrZW0YApjSDRNjTEtlk8UV6m\n",
       "n0o/kK06kG9SH/kxcHAH8syCzAPmQ8BJ9r1WTxtWm/BJvZG2vbOOth8EngHpleLYEjPMlTpnvUgx\n",
       "w5Stc7okGMdQYDG1mcH3Bd4hmwd/buugU6wV/YCp1H/wUEPatfNzgTmR3+E98Sz8YdiW49rd+cDj\n",
       "Hci3XDte0YE8s2AAsJwaPRdS6f3Jr4I8CbJRPhxnKQ2yM/pU5IJI4rZ6/6cuhKP/y0zPIQnLJ2Gl\n",
       "RjveWbR1TglA9q+6wtKEQTomYEoj8BiwTp30VINhwKvULmC+BvQHqdesfBvb7gM8DvJvkPNANq6T\n",
       "/RJIN2BD4CUKA9RSxzXn93kI2QvknqLE90FOse9bF+0bgvoXW8mSI0B+W0U9Sb51mG3jHmQr8dCe\n",
       "PFzG4HJiZ8ttA//Ik/yyEciCkodnT3908BYzw5RNQT6slXEBGQ1yLcg+dl8w+jlaR7oyBGRHfctC\n",
       "te3H6nooomN7+wywx71/b4cdCPICyLt2XKThd/hPOcq8+koE5Abbvm/bB0HWBhkGcijImzaT/Fvk\n",
       "Gr4GMhOk1X6PAhlu39PcP0jxiinZthC8paF9x5QvaUOSuyNpw0H+n31fy7TsFdm/C8hfO6+rLakh\n",
       "eblRmij8bWX4+4cgNvAodjTyZ5DLtA20pe0NMjFZl3RH79t/1pJ6g2wCEhmFy7F67fIayDgLCIHW\n",
       "cdsx54EcRXpSvFZNApClIB9F2s5ckNPLONrOkFRWH5uGYbY9A2Q7kBtBzgQZD7Kr7fteHXXtib7q\n",
       "8RSQQSA9rOzMkcrO1n4GgFxp+sK/4etjv2+0c54v2n8m+nact+z3c7b/BwmaEvRKEMl7B8urhC+V\n",
       "AOQZ66f7RtK/BWJv6JIrWOnVeRL+l1UxmuRlkA9Ktx/ZwPScE0n7Em3PiADIHSD2p1vSYv147cjx\n",
       "p2v5x9lPSpdGyj7sJn2sz24H8g7qf/8U2T8CJBzcnGbaI35mJV/YGKerXAeT9sdIN/Rpqv2A7wJb\n",
       "FB0/D/g+MBMdgY8C5tv35ego5VlLawHeR58Q/QjYxGy9ZenDILgnRqMkt0tGQPB+5PDRwLeBr1rC\n",
       "/cDOwAfAXWZjIjrjm4GOUIagN8IXojO++ao1uC9GU6hrAASzQB4ENkWXtPcGngDWpzCTuxY4Avg1\n",
       "8PP7TdQAACAASURBVI2ki0FnSf8AvokutzQC7wJ3AzsBL0DwqxhdVocywTR8HbgH+D2wHnCyHfNn\n",
       "4Cl0dn4o8EdgV8tjHLCnnXMeMA0Yjy55HoaOdluBh4FtgWV2nR9BsCxel/wOHRH30mvgc2ibugwt\n",
       "+xXALHTmMgM4wTRebvsOBA5Hl8EfAPZCV00eQtvg14HtgBeBX9j12N/OBW3/lNDVSmH15RZgF7u+\n",
       "5cBf0TcHHQj8Bp1xH1iUxy+AtYHPm+0D0Pb9vuX1DjojW2DXsUJ1BjfGaDJdbX+UHUAQOvCeaNsE\n",
       "OAVdBXhMjy3+w+1whhemS4D256jNZe3PkzCfuLKaodcZTAY5HPgD8DH6cEp/Vl7q+wtal7fY/ha0\n",
       "LXdD28ErqoGFqD/pZdv1gfeAFRDMV8ccLEzQVSK5jY9ZecluCfAysDHav5YCc01/N9QvdQdGmL6j\n",
       "gItQf/bpQjax7SrU9Xm0LTSg93zfAI5H28vdaBsea+ktwCNmfy/gQ/SZkjuBrVB/ejvazgBORX3J\n",
       "2sC37Pd7aNuK0yXooO4ytKzvMLtDgVtRH7WWabsI7d87oK/QvBKYjNbp703zBRR82rGm8VLgdLN/\n",
       "AnChletiCC5O0PUUsKX9ng5ch84cD0J9wOFo3wlXvVqBH6G+8jlgiuW9qe2/CRiD+pgvoyt7c0zb\n",
       "28DVqC+7IK68KgyY7XY1o4U6Ey3Q5Wgg3QpdAlsCfII2vAWoYxyMOr9WtCD7mY0VaINsRBtkf+Ad\n",
       "CHaJsR8GgQCt3JFokBuOVsInMZrHoRXQqvnTHV1u6YZ2lPlmf4zpWYQ6/j5oRQkEG8SXSTun1mDH\n",
       "h6OZW9AltQFoxWwDfAqC9+zYEWjj/gLqbLZCncSrwNHAbZa2odmYDTyKOuCWMh1irl3DY2hdLTYb\n",
       "H6MddzbwHzQY/AHYDK2TcJkmfMjhNvQ1Ws+jATPKCgrL0SHLIWhK0PVTPYahVi7T0WXOvnpN9EQ7\n",
       "8a5oh11s+waZrflocDzMfoeP+feyYy+B4A6dEbAjOjg6CdhBBzWxunZFneW2wObA9RBMBNkHXQ5t\n",
       "RevqQiurrdCAvw/wP9TJ9EYHYd9AHeDTaKC9F9gXHaz1pLB0NBOCUTGaTFdsX2wCzkADZoC2655W\n",
       "lkOtPFbYvhWo4+2J9r8eaBsIg+IyNHAMo+3PnYLeCWXVAsHiGM2AbIkGv+mooxtt+R6FBq2XKPwN\n",
       "YA+03hvR9tqC+pGeaHn1o9DGAgi6J+jaBB3YdUf9w/qoP3rB8u6GDtCeRwdhS9GB7f3oQD+8Z7kf\n",
       "8C/LawLwJbQv34YOLvdB291sLbfg7RhNoa6X9DhGowOoIeiA4XG0zS5Efeo+wJvoYGs22nf7AzdY\n",
       "eX0D9Rnj0KA6Gh0Av4/+58eHoPXaXdOC4fFlRQAyHh349Ufrx/wdn6AD0qtRn3k72p6eRgefo9C6\n",
       "3R9tb++i9dps34ehfn+IlfUctE43AKZCsFu8LjkbraclFJaEG1CfuCMaoAeZ1j8BL0IQ3s46GPWN\n",
       "h6Nt7Dl0YLPAyudLplsoPCTay8p+JgQTSunqRMCsC3H2s9SVZLtOusIZRrvfSbOAgcB8CJZ20F53\n",
       "1FnNBBogWG7pjWiH7I427E/QzhF2isbkGebq0LbCpZ5ofVWsqdy+6GENqCNfjD7ZeDsa/MOBS4DO\n",
       "QGajziMcXIYz6L7oCPx1dGYnEMyOsd3Jskp6fZmY3mCZtb9lNvhsQAPpwuQ2vzr7B2jvI6TR+myG\n",
       "ZSXdzBektZ9X/1D2pCyp4P5X3ejAPYq6kMeySrLvuiqznUddXoeV2c6jLq/DCuzn9Kk1x3Ecx8kX\n",
       "HjAdx3EcJwUeMB3HcRwnBR4wHcdxHCcFHjAdx3EcJwUeMB3HcRwnBR4wHcdxHCcFHjAdx3EcJwUe\n",
       "MB3HcRwnBR4wHcdxHCcFHjAdx3EcJwUeMB3HcRwnBR4wHcdxHCcFHjAdx3EcJwUeMB3HcRwnBU1l\n",
       "9k8m2/+XbHJCela64jSF+/Kmy+sw3n5cet7qMNyXN11eh6VtJ+3Lmy6vw3j7juM4juM4juM4juM4\n",
       "juM4juM4juM4juM4juM4juM4juMwCX20N6vPpBzqitOUV11ZanJd3rZWN11xmvKqK0tNXVFXItKR\n",
       "k6pInP0sdSXZzqMur8PK7OexDsvtqzV5LKsk+3ksq3L7ak0eyyrJfpV1iYAcWckJpRL9TT+O4zjO\n",
       "6kCn450HTMdxHMdJwSoYMGU7kJFZq3Acx3FWLVbBgMnDwBVZi8gfMg5kVaxvJxfIYJBeWasoINeo\n",
       "JsdpI+hsBquqA23MWkAOmQIcnrUIZ5VlBnBt1iIiHAFsk7UIZ9Uiw4ApQ0FG1CjzTo8kqoe8DDIg\n",
       "axXG8KwFVI6MBslRfeaVXJTR2lkLKCIPZeLkhy49w3wEeLFGeeeko8hwYANgnayVGL/MWkAHeAvY\n",
       "L2sR7ZEdQHbJWkUB6QG0gnTPWEhO+l0bedNTATIQZI2sVawaSLji2OmVx4wCpgxAR6P9srFfNza2\n",
       "7ZqZqijQxZbgJfz/WntnKmNlHgQuyVpEhEG23TjxqNqTtwDVkrWATvAsMBukT9ZCVgG6F207TFYO\n",
       "dDPbtrZPlj+BDFrp6MrJS8cdYtvRmaooLNe1Jh5Wd6QRJOm+6lq2HVgPNRWyKGsBEcKHW8ZnqiI/\n",
       "/S6kKweb8En/3WtvSvrW3kamhIGyubMZZRUww6WGiH1pAI6nEEw7QNtToE1F6Vk9vTcUWE72I/8W\n",
       "YKl+zdWTshsC1yVoGmbbWt3rrgAJQPaOaM1TwAwHmetmqsIDZpVoF8Am1MHgt0GGlD+sy9LlZ5ih\n",
       "A3wqknaKbYuCXUX0t22kwUkzMD+j+zsjgLuALTKwHaUnMA9YQL6cSFhfcQ8jDbVtNVYdKkQaQP4v\n",
       "kjAeuDOiJU/LfZ9GX+U1NhvzEg4INwTpmY2GkuTlVkil7Gvb80kMmFUb/H4P+BDkZpD71FfKJiCb\n",
       "Vin/rGku2naYGgZMGZpQoSOBfwI9ImnhQxQDbTTfkc4/BB35Rx1sGJxttiJHg4zpQN4VIgHwOeAX\n",
       "wKYg29beZizboPeL59BuMJE54bLTJjH7d2Tl+qwX6wOXgnwXpD+wg6Vvgg48Mrj/Hvu09QHAt0hc\n",
       "+q/KrY5S+f4deCGS8N3a2KmYvwBbZy2ig4SDsX8R2zekGVhR5aB2MLAzsAR4HngWZP8q5l9DpFfC\n",
       "k+LhZKnmg9wOvgBXdrSX3cYUtlwNchrIvEJQlSdAngL5ui19hW+Nj9El43XpQn5fWHKVXSyfJYXC\n",
       "k51Ny/b2W/ReabvsKllKKvNyZRmqwVF+DfKqBf8LQWYWHdofpJoVmFRWd4NcAfK0DhhKHnYSyBlV\n",
       "1JNG1zyQxSD32P3MbvbEJ/ZbQB4FeQ/EnpSVZhCbsUs/O6YjA6AkXbuBTLe8BWRF5Pv/b++84+Qo\n",
       "rjz+be1qV9IqZ4QiQhISIAESJhkwORocABuwMeeI7cOAAxhz2PgOHAAHnA4bgzEHOBAcsTEYjEgm\n",
       "iZxEEkgCJSSUs/Tuj/d6p3c03dOzOzPdK73v57Ofnunqrvr1q6r3qqp7es8FuRtkmY3CSwwK5UBt\n",
       "d1XTFOoSkJ/odYPZYhTIYpCxIOtBzgRpNPsdbMeNt3OLBm2pV12SbBX+3Qrybvv8c5AeIONoXeqT\n",
       "z4DMKDr9BJCOPEGepKuPaTkU5Msgx0eSu4CspvXFBjK8Qh/QHk3l0qKHLQL5UaQPlLjPLxdZ2nc7\n",
       "qEtATgP5O8iGSH3eAXIbyO/Mh9Vqub1KL18XATkpJm1PS78msi+gzSBSRNtrcvkplj9ld6Ar8Aq6\n",
       "hDYIWAosQJf3TgGeR2cvu6Kz1lOAecBHNGjQFZgLTEN/TjIe+BWwHPgQyFz0Pt+lwG7ozOP7wBcT\n",
       "hD0d+XwiyCx0JvVtdBb1R210fM+O+TjIaPs8QTs3pwO/BP6Njt57AXMgEJABwMHAvei9oX/rdZRt\n",
       "N/Mjnz9qeX0FOAdkNvAq+tTnNHSp+IvA7cA6CBZq0KAXOvtuhGC2ZiUBatvNqIge+j1Yrs4pUdch\n",
       "VuYRwPXoAOMp4EvAG5bXZ62cg4CZwG3AgcCt6AxmDHA/OvKcgS5vbIRgPUh3CNpzT+8m4H+A16zM\n",
       "FtUiD6DLUu+oDZkJ/BXkPnQEjDoMjrN8voDe95mPjiZHAmejbepg4GdoW1+MLvP2LWOvf6F1cgdq\n",
       "74Vou/0D8F20Tb1stlgEcjG6/PcvtH/8GlgOsh8Ez6JLlj8AvoW2p2Z0+XQ+sBaCFRXY7PPAe0Ge\n",
       "ofBzm8uB2cBbwI/sbz4wFB2ohU8Z/xPkOrNFP7TffBrtb18FzrTrWI+20y5Aubb1DbOJ3SPnWvSl\n",
       "AR+ldUQvhwCfBvZAB9E7o/evPwY8AnIqOhvcF20Pfazs7VE/8jY6o++HtsPb9RqSdAXLQP4C3FnY\n",
       "J+uBqyz/7sAzIOGy/xsgrwL3AWtRH/IGurpxPDrbW6Tn0Ai8B/VB69B+9Xdgfnn/IB9Ab9EsQn1m\n",
       "YH/Poz8/O9bKvBaCTVZfvwXZiLbt0ajf/E/0RSQ/AHkcXbE7Fu2rZ5muI9F2O6CMra4DrjN9JwJ3\n",
       "Q7AYZCrwGHAS8Ir1v3vQFYUNwCa9Zoagba+/Xcsy9NkNTHNPtH2OMtu+o/5CytSh7IzWf5Ndc0Oh\n",
       "r0iA+uVeaMwAmKYBnqP1GtjdtE21fHYEOQP1bbvqVrpReKZmgg5WGB2nq2ztgsxRoQw04a/T9gfK\n",
       "v0E72f6oY3saNehNaJBZjDrCIZFzZqAN7iTgEsv7EuAnljZSLzKYEaNRrKMPBX5vea0AnkTfaLMn\n",
       "2oCXoI7pBnR5bzkwHThU82DSlvkSWD7j0UAS8jba8MIGXgobrfEGcJ8Gy9akPYGPoE5gEmrD7ujy\n",
       "3ka0E65DG91GWhsI6+y4FvscoPWw2f5Ev8fqEpBdIHhOR9ZcgAbQ7dF7yGHdLEHrYTEaDD5n+9YC\n",
       "s8x+IaFeTGdv1AF0QTvHfHSQ1AzBgHhd4X4ZB/wCDUSCOo5FwHQI5oF8kMJ92KOAN9HO8JSVfxna\n",
       "QfqYTQajT9iuprAE/bbZtgvaYfsl2GuIDl62SBoHfBO4CO38d6AOeRd0gNPP7HcV2jY/bPYT1PEc\n",
       "iA42e6FOpUVtxFrNP+gdoynU1Wz5HoO2hdeBOcArNjALzHbnoG3wUeADaB95GjjPzuuLLnUvRx3s\n",
       "CLSOm9GAMBJtezvq8cGEeFuV2i8B2s4GWB7hStMZ6CBtFjpI6gFMRh/0C/NZgzri7qZhBdrWoqsx\n",
       "m4DVEPRK1iVd0MDchLbpI9Agsj1wvV37+9FByJvovfRD0clAA9qeWoC7UB/Tw86ZjQaisWazt9D2\n",
       "0BWCHWI0mS55Am23Q+zcg9C2vhINmo8BV0MwN3La+eiA5im0XoegbexmdMByFOpT1ptdJ5vN5qFt\n",
       "bUO6frhFUgM6qJlpZRwAvBv17y16vfSz6x+B+oveFG61dY1kthm1aw87dzEwuIzfCj9viOS13PIK\n",
       "H+Rcivallync+yVy7ErUX12IDmRDVtPWv4fHd0P9KaV0pQiYrU7NZjjBJh0Z0Aj0gWBBmTzCc7dD\n",
       "HekIdBYX8xMHaQJ6Q/A28ZWZUMmVIj3QhjbE9O0EjAPuhGCVpdvMh3kQhEGrZGaV6ZIGYLM5u0bT\n",
       "MBJ42PLqiTqdlZZvM9pANtpfC+o81ifoqpKtwh//Bpts9r3K9PRGndxg07kCnQXYCDN4qra6YvUG\n",
       "kSDSpPaRJgoz49Ud1xWWEZveDZ1xLtbyJEAd64LCjFy6oAGsSQcH1WpbVaUK/VC6QrAhIb3F+ltX\n",
       "y9P8Q7CRtsveARo8V2tbzKJtJZJUdg11ST9gDQRrbWAltvozBA2Yi2PKroEmaUTrL3xRQJeCHrA6\n",
       "Hor60w3xuqRLpA+3oAOf8NhVeq1tTmm2ft4f7eeLC2VCxCcMRQfPL9m2N+qvjkUnWv0heCRGV/KV\n",
       "V3pClcnjPz31fxBbGa4rPd62KiOPurwOK6NT6crTb/Icx3EcJ7d4wHQcx3GcFHjAdBzHcZwUeMB0\n",
       "HMdxnBR4wHQcx3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQcx3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQc\n",
       "x3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQcx3GcFHjAdBzHcZwUNJZJn062/5dsesL+rHTFaQrT8qbL\n",
       "6zC+/Lj9eavDMC1vurwOS5edlJY3XV6H8eU7juM4juM4juM4juM4juM4juM4juM4juM4juM4juM4\n",
       "jsM96KO9Wf3dk0NdcZryqitLTa7L29a2pitOU151ZampM+pKRNpzUhWJKz9LXUll51GX12Fl5eex\n",
       "Dsul1Zo82iqp/DzaqlxarcmjrZLKF5Br6ylky/KrdpL0AKnHW4LyWMl17BDSCCIgQZqDK9xfL1xX\n",
       "etzZVkYedXkdVkZSwJQ6xZmY8rekvWJWAV9rvxYnJc227ZqpCsdxnGxoLn9I/ehI9B5XNRVOHN2K\n",
       "ts42j3wL5OCsVXQcOQrkJ1mrcHJPp/J9cUuyAnJdduXncmmjXFp7itrebD0kzcEV7q8XVdYl/wly\n",
       "crvVlC8/521LBOSPdVGzRdmp96fJ8k96LR2ik9ZhJuTRVknlh0uy29VVTZvyt8T/W0m+CUdX3TNV\n",
       "kS9+DHw1axEdQwaAXKb3qNvFhqrKyYbNWQtIj5yU8jkCp/rkaobpATPfeMAszatZC+ggOwNfBsa0\n",
       "83wPmBUhXwBpZx+SrsDvyJnj3obYau5h5hDZG+QXWauoIh4wS7M+awEdpMW2Pdt5/tYQMDfVsawr\n",
       "gL3beW5L0dYpiZwL8tkaZJyrgUpHAmbWa9+lOA34lI0Ktwb8oZ82tC6L1dPZ1oKeRdtK2QYCpuwI\n",
       "sl8Vy2vvkmpH66oTIP1ARnUwk+8Cl1dDTRG58n1b2QyTHW3bN1MV1cNnmG0JnVZTpio6TjtnmNIQ\n",
       "fqimmIwotyR7M3B/Fctrb8DMeIYpDSCjS+xv1IcCE889JmUgvBd4oR3iikmYqMjtIBe1I8/OviTb\n",
       "+kPSnAVbCYDdgbV4wKwA6VO7vKtOb9t29gFEe2ct4fE9qqglK2yGGfvD9CqtIrSuNrXX8aaoK9mz\n",
       "nXmn4TRgVon9nwXmxp8mfYG/AuelKGMXqrNqkbSydwTw0Xbk2elnmP1sm7egNNS2LwCdKQgkETaW\n",
       "Wl7PUpAP60cZBzIi/lA5BOSGGmopR2iHzh4w2nsPMxww9Io/RG4CObAdmupNuEoQ17ZLBEzZrh1v\n",
       "funo/eIS58t7C78hle2AR2r4Rpp+Mftt0ChfAplonwP7KUY34AQ7LiGotmFj+yUC6QY47em3uRoc\n",
       "t6eSw8CU5reB9eT9wJPAUjpNwJQGa+BxesPOMihyTmP7n/jbovww/9Ns+xxwX8yxAXAxcApIVgFr\n",
       "DLCCzh8wS8xa5KwU54UBc2DCMScAH4pPlguSB0V1IxxwD4hJL+XA36LQVtMStpWkGeLQou+BBR0o\n",
       "HXA/b39Q0B8X2DrK5oImADnMgnO4pH058Lx9DtvFsIiutAOFjv5sZm2KY4qWteV3Kc6plV3bRXsC\n",
       "5hBgNm0CpgQg7y6MsuSJ2r+NREaA7A9yvj4gwJdRh74U6F/bsqvGmKJtMaPQpZLBkX3fAxbrR+lH\n",
       "qnfNyqkgp4BcBXJ2JGESOiM/CuRKdEllFEhkBiM7gXwadWB7A/8CvhVTzu61md3IYebAdgUeAMaA\n",
       "5PipRekFciFI3DLgdsCbQPQe1KdSZNwbeIc2A6g25Yb9OXzJgd2/kkmRg2zQkzkjUCdbScAEGF5h\n",
       "OWHAjLbpXgX/JE3APL1PKHuCXAGcBayxg8MgNBRkDMjRtL3/OqSwlUq1lUC+BmIDI5mC9lGAFvvd\n",
       "7h3oEupA1A9HCcv/MDAVeBkYEAn+SVQYCyTyHIEEtC7HJs60IwNd6Q+clKKgwaV3Sy+Q61OcX1fC\n",
       "ty2IVeQuID8AuRlkNcjhOtuQY+2YX4OcYJ8vNUd9nDXEx7TiZEeQE7UzS3/bF3Nju+xbIKJ/P9PK\n",
       "ki+CzAT5PMg09Gbzf9nMbDjIHkVZdWtb+WlskmivAGSq5Vu0pi+/ADnDPjeCfNK02/KJ9DRbdLF8\n",
       "bgV5AORqdb7SCPJPWt+QIgfY+cMrtNVlGgTlCtP0jUjaTJA3QH4I8n2QpZG0ndAgPRfkOdveYHl9\n",
       "wY5ZC3I6+hOfTyfrav34GXQ5uBvIHSAX2P6uIHtZvk/bdi+Qu0E+a+2xCeRgWh+Ike+AvKeoqFL3\n",
       "VpLstavluT9Ii+qR94FMNpsfZ214X5AJID8G2YfWIC7/YVpPM73nogO7U62OnzXbLjE7/h1kcYKm\n",
       "4npcbu2jWduzzDGN4yz9IZCD7POetu1h1yJW31NAFqJBYAmFGcwDdl3d25YdqylQ28tRIMPMHhMs\n",
       "38Ntuw/IN63MMWj/EJB/U2j7vdElf3OQcqcdY4NfaabVrwDl2/wA07abnffDSPI5tL7Yu1XLSaj/\n",
       "sv+S0drHvguyQsuVuy39tkj6Att3KMjjKerwTdT3dQP5CsjOIOPRt3rtG9HSlbZ99mfoQzwCMsO2\n",
       "V0XS90TbZPSc3xY+p/IP3wEZafX0c20DshPqcy6xOjge7dvhNe+F+pEwj0usnR2kdScnFuncw84/\n",
       "N4WuOWg/aaJ11i82gJGTaX0LmnRD2/7lqD86DqQv2v5CXxq270hAT1wpa9eDdaWc7Xy0c3ynaP9D\n",
       "tn0MdbgCsh7kqcgxm0rkJyCv2XY66kCeB3mkjDF3RB3Ye0A+EUkK0ED0uOX5LMg99nklyDLLfxnI\n",
       "uoiG1037Q6jTfhHkSZCXUSfyZ5CbyhgyLCO89tDR344OMsKy5qBOT0AeRQPP/fZ9QeS4l9CZ+9oS\n",
       "NrsddTgC8mAZWx0AMtb+zgH5B8hsu75wpD0F7cj9QM4C+ZXZYSpbzOZkJMiBINeA/C/I70GuRzvt\n",
       "x9AOtgDkiTK6Xo+0FbH6eBV14PNB1tj++9DBQzjYONHOW2t5hHaM1vP92obkbxQGczehjviGMrrW\n",
       "mP7oYOFVkFlWJ+HAQEAWRep6E8hi+3w/W9ZZ+Hcv6iBvtnb2GMnOI9Ql6MDkLSuzuD8tBXm4aN/q\n",
       "BB0C8optZ0c+R/tEuTqcU3TOyqLv603v8xF7rQD5pdXjhhKallEYvIXnvRPZ/kGPST1IfNJ0/Att\n",
       "q6/a/rdsOwtkHsgq+x5uZ6Bt8cLIvuh5YeCK1HWqOlxrdnopkmfoixaZTW5B+4CAfBnkxqJrWgzS\n",
       "p4TtHrXtZtRHCsjCFLb6Z4m8Nhd9f63EMfNB3kYD4O9LpK+w7dURbXNte0UZXbeVyE/MFmE/u8/a\n",
       "yfpIvpvt+0YKPnWe6V9DwbcL6lfetHPvQv3DA3G6yq1bix4jAQRS2IJ+psHyGA28BkHkxq9MBGZC\n",
       "sBldEnrVjh2KTs1HoksKm4Ad7PP26BJkN6ARgj/HaJTy2sMRRaibBnTZoQ+wG/ASunzbBViNLov2\n",
       "t/Teej00U1jiHaC6ghsTyhaQycAiO6er5dUfvZfwNLrU1AK8Diyz8440m6y1YwV4BXgYgg0gU9Hl\n",
       "2W7AfHQ572B0ff/PwLsguLr9tqopceULyN7AOuBF29cLeBtdcuyN2l4gWByT9UBgAnoP5zD0hQYz\n",
       "gYnof9QZgNpoDrp0th5dTusOwc/jdYX7xdpMUPQEoQR2TCME6yP7mtH2sxpYaceEy2GbrPzeECwr\n",
       "yq9B9QVvxmgq1tUbbUNr7W8D2p+Go/ehm63c1eg/SVhkdnocXWocjd4LbgD2RdvUGjt+DjAWvcfY\n",
       "DCyD4PZ4W8lUu9aRmmfwsNliKIX6W4vOWIdD8HJRFv3RNj9e7ckK09ETbRdT0bqcjNbzBrRe34Hg\n",
       "zgRdTegS/iwI3gGZYN+Hm6437Ptd6G2Jo+2670Wftn8dbY9zIHgcXZkaZPbexc7vATxq+s4HnoLg\n",
       "VzGaQl09zO59gXl2LWvNhoL6o2PQZdX/Nv3r7PSxZpuBEDxj+0Kf1oS29ZfVdmEbk74QWD3E2goI\n",
       "wrbVFe0jgeU3AfVjoW/8B9qWl+jxYftvzS5A/Xhg17VYY0CrVjGfPBhYDsGaBF3hraoGtC6GAdPQ\n",
       "NvICavvj0bZ7EwQbrW+sRutqI9pu+ph9N6JtvZvakFVoLHjW8hyM2n8NBHfH6EokabRUDxJGH5lR\n",
       "ZgSZGXm0VVL5rquysvOoy+uwsrLzqEtA3lVXJVuUX9H+etGu8vMqOo8Nr1xarcmjrZLKd12VlZ1H\n",
       "XV6HlZWdR11ehxWUn7OXDziO4zhOPvGA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDp\n",
       "OI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4\n",
       "juM4KfCA6TiO4zgpaCyTPp1s/83K9IT9WemK0xSm5U2X12F8+XH781aHYVredHkdli47KS1vurwO\n",
       "48t3HMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHId70Ed7s/q7J4e64jTlVVeWmlyXt61t\n",
       "TVecprzqylJTZ9SViLTnpCoSV36WupLKzqMur8PKys9jHZZLqzV5tFVS+Xm0Vbm0WpNHWyWVn0td\n",
       "/qYfx3Ecx0mBB0zHcTqIHA8yNWsVjpM1uZwWJ+yvB77kUhkV6pIAZLeaqSlbfi7rsFxarSljKxGQ\n",
       "p+umZovyU++vB3WqQ/kgSCUTnjzaKqn8vOqq/klVJI/G7KROLTMqDZj7qgOuOXm0VydtWyIgj9dN\n",
       "zRblp95fD+oVMAVkXCUnVLi/XnQqXXVakpWm+pRTsuyu1rhyuPwsfTVAOBG6Zi3AaRcbsxaw7dDq\n",
       "y8r984ytHHkA5MB6llivILIO5IQ6lVXMCNv2yaj8JP4XeCBrEaWReSADMiy/IbuynXawKWsB2xDd\n",
       "bduSqYrs2Rc4sZ4F1nPWtXMdy4oyyrb9Myo/id2zFlAa6QsMpTDYqCehE+iVQdkpkO3rtGTcixd0\n",
       "MgAAHmNJREFU2fAZZv3oYduc9pG60reehdUhYEpYqb1rX1ZJhtm2X0blJ5HHWS/AHrYdlEHZPW2b\n",
       "V9vsmLWAnOIBs36Eg8qsfGqeqOsqWD1mmENtO7AOZZUibFR5nGHmNSgcYdshGZSd9QCrHIN1I9v4\n",
       "/aMt8CXZ+pHzVZi6MraehdUjYIYjgKwCVuh4swrYMUhA4V5E3hgFLKAw2Kkn4QwzjysCAOGTiTly\n",
       "VnIkyKjyx9Wk7NCHbM6m/EqRriCR20NZPpDYbsKAWWWfKkeCnF7dPGvO6HoWVo+A2R9YSfYBMwvn\n",
       "n0R/YCmwMYeddjtghm3rjc3gokstMhYko6VQ2Q2kZ2THnrbNIGDKaTEJfwdeB9mvjmJCWoq2OUb6\n",
       "AacCz4IcAHIw+kBiFu28I4TtcVjiURUhjWg7+lXR/vtBplWvnGohgX3oAtJcr1LrNcN8mewCZi9g\n",
       "LlVtXFVhGPAmMBvYIWMtxQxDA2YWNhuBzlai7eUp4NH6S5EdgSeAM+17V+BAYBnZzDB/veUu6Q2s\n",
       "ti/3g9S7zsIBacK9JGnK/mdd0gQsAc6yHdOBu+xz3vofGsAk7idWYR1vX6WydgRm2peXI/t3A/YD\n",
       "LqhOOVXlGNvOo463jurRiN8H3AdsB1Lne2ISoM5uJvAFkDwtgY5BA/mTwP6lD5EpIHUeaMhO6JNn\n",
       "9xH7lKw02G9ba3EPdhRqk0Mi9dVCm9+c1fonJ3IQyG0UnMepIL8HfoEG75eA3vZWotG11bKFNgG5\n",
       "3cr+ABq8ewC32gFvgvypjoJ6o4Eo6ZbHIuCStrsq+tF9O5HmyL3mi2y7G/CeogPPj8xYcoC0ABuA\n",
       "y2IOGAH8G5gUc34A8tUKBinTKQwaBmvdSACcDnwLeB/IlSC7ggxqa6ss7uVLA/A9+7KA2PuY0lRv\n",
       "n1/0+Lx0MWfZA+Q7ICeh75H8A8gnrZL+A+QIkKNBnrUO3hfk5yDXgYwBGVl0H2EPkPFFZfXZsvyo\n",
       "LhkKsqfl9zWQy0C+DnIcyCSQ4SBvWfm7gdwH8neQY0Am6D0fOdiC0oXJTrhNWoo3echeIG+YrYK2\n",
       "SwbSAnIDyFIr990gC7UxgmoDO09ApieUV6LspP3Sr3QAlhaQ3UGeszI/p8eJlB7kyBRLOyyybxjI\n",
       "kZXpkq+DHAXyR5CJIOdYvl+1rYAca9u5dtoh9t2WseVwawMjqGxpO0lX9O/pyOcldp0/BfktyHm2\n",
       "P7KkJ4203k+UIdYut7c+EG0HXcyOD1l/ak7QFOq6IaJlvW1ngXxEr72N7msKbarDJNnqZ5EyI/aX\n",
       "XWl1rCJ2nV1BepkNRe0CaD8uumct3SKfW6w/FAeAtHX4b9tOjvSzw6y9HwLykqV/HeRdlt5k7aqB\n",
       "ygZoKd/0E/rRNskt1lYuMz33on7zfab3NPSVeKtAzrC6/4bpnATycbPTJDt/aumyS9rqDpBpEZtt\n",
       "BnkTZH+Q64vsORvkNdTHCcivQT6NxoITUZ82AGQwyGhr5w3aL6QnuiqCtY8kXcNBPoD2s11onXHL\n",
       "uVZnvSj4imvRZfaD7PongDwJMgMdOHXX9iP/0LzKUlJXuVGVgDyGTv3Xo8tQxQ53I4XR/xp0NAkw\n",
       "ErgGuBqCB1FHfQVwdCSPn6OP6R+C3ue80fLrCRwDwYAYjVJ0PeuBtehbYl5HZ28AC4HzIbgRDcC/\n",
       "At6Pjoh7mO5GdJT+LDpKXkxhye11oAE4GbhKdQUnx2gKdT0LRCvkbcv3DQq/CQW4Afg8BMtALkaX\n",
       "PVZYuY+bDfrbuVcAc9BR5xnAH9CliPeiS5XzIPhJgq3uQJ9iPMr23WvXvxB9Uncq0A29h7EQgtPt\n",
       "1Fst7XEKM4h3gGnorO8F4GYr96PArnYdTcB44BEIfpCgq3jfRnRF4m/ovcz5RelPoEt/I9FR8Sbg\n",
       "4Ej6cuBp03YbunS1GF2yDOt0NjAEgu8k6LpCtfNb/U6TbbtBsBxkRERLyJ1ofW1G73OupdC+ANYB\n",
       "zcDtdtwuaHvtCszSfUGfGE2mi8CczanAKuBhCGZGDmlBZwprgG8Ax6EzwNfQPrIQtelKtN5b0BH6\n",
       "O8Bb9n0cOsPfaGUOheC8BFuB1vklaB9aT+FnSf+wsj4YsUEjWieD0ToS4NhInkvMHlOB64AjKdzX\n",
       "noPWyQrNM5iSoOuXwMfQmUh34JcQPFviWEBGAv+N1s+H0VWEXVA7drX9T5puQVeshqHtr9HyXwks\n",
       "heATMZpCXYLaO/SB84GH0GcsJpmNBqEvNTmeLW+LPAecA/wTbft/Q9tnyKuWxyTUXg8DgyE4IEaX\n",
       "TSiCp+zrAHQGu5/lc7XZ4H+snN3R1YzVtu9zqE+dhravd5k9VtH2vvZqCr8fBfUd4yFoSNBVYjdr\n",
       "0X7+fosrQ1FfeDVwGlofm0x7C7qK14ja92W0fW9G2+Zg0ylou12F+ofuEHyqlK40AfMDFBxXH+B5\n",
       "zTBcrgrs6TiZUNR5GyAo8ai5NKPOtwFtnKvQyh+EOtzedlGXQfBijEYBGYg+NIMaIIiO3gKgy5bl\n",
       "SxPQD4IF9r0rasxuwOFoA5to2lagBu+OVu4ELTf4aYymUNcBqofX9TuD0ErbE23Mi4F32uoFkInA\n",
       "FLSzjkCd+4NopxmHNtqBqGOeggbULmgjXAXBxxNsdTb6AM8fUPt203Nan4ZdDLyowbvNqQHaccah\n",
       "DUnQjj7LdJ4FDLdyV2ge7IU26EHABgg+n6BriOlosjKeh2BlUfkD7Vr7og28C/AM6kiXA4+hP4OZ\n",
       "gdp9rNlqPDpY6Wk2GoQ6qh2AuRCcE6+rbL+IHt4dra/JVm4/tFM/a3Z6Bw2sY9GB3B7oP6d90jKY\n",
       "j9bnZghmJJRdoS7QPsg0O68b2qZ6o/14Ddp/dkXbeTf7vhyti/V23moIzo0p22aJwVvoDPGbkbTF\n",
       "VtZMtF+NRgfEAVp3L6JtezU6ODkIra/n0Da1CW2zo9B7/atQO/a061gCwfnxuiq1VeupPdE6mgXB\n",
       "HApPH49DbTQObUsvmsYAtVU/oG/CQMx0yVg9DkH73jBgJ7v2hyF4x9p9OPsKUB9lS99BiaeRpTva\n",
       "hp5B/ViABuEPoROY+RDcGaOrA7aKQ7qjNhmO1u8q1HbL0DpcjrbLFyFYFK9LDkT7dXiP/gi0bh6A\n",
       "IGHlrdV+/VB/sRs6sdgZbWvHoj5hI1qHK9A6mWRal0FwZYyu5Cuv9IQqk2KZse6kXHKpO3m0VVL5\n",
       "rquysvOoy+uwsrLzqMvrsILyc/hCcsdxHMfJHx4wHcdxHCcFHjAdx3EcJwUeMB3HcRwnBR4wHcdx\n",
       "HCcFHjAdx3EcJwUeMB3HcRwnBR4wHcdxHCcFHjAdx3EcJwUeMB3HcRwnBR4wHcdxHCcFHjAdx3Ec\n",
       "JwUeMB3HcRwnBR4wHcdxHCcFHjAdx3EcJwWNZdKnk+3/JYv7J6FZ6kr4x6W51OV1GF9+3P681WGY\n",
       "ljddXoely05Ky5sur8P48h3HcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzH4R700d6s/u7J\n",
       "oa44TXnVlaUm1+Vta1vTFacpr7qy1NQZdSUi7TmpisSVn6WupLLzqMvrsLLy81iH5dJqTR5tlVR+\n",
       "Hm1VLq3W5NFWSeXnUldO3vQjAcikrFU4juNsu8jErBV0duoU5eUYkFJl5XH04SPIynBd6emEbUum\n",
       "gIyqq5o25Ve0vx50wjoEkPExPrjW5LEOY8vPyQyTnlkLcLJC+oPMy1qFEyITQSrxC08Ct9VKjVM3\n",
       "emQtoDOQl4AZZC3AyYxhwNCsRTitPA98qMJzutZCiFNXyr1X3MED5jaOzMxwOS1ks26kKVsZToTR\n",
       "FR7v/bfzY/2votWFbY68GMc7XDaMB3bLWEN32/bJVIUTZXCFx3v/7fy02LY5UxU5xwNmTZHOcF0N\n",
       "GZcfBsx+mapwonQvf0gbOkM77+SIgAxPSB/fwQI8YKYgLwHTnPbWtBwgOwCbQcZkraQMWdu8kwVM\n",
       "6QPyfNYqakPrAK/SQZQHzPowJCFtpj5A127Ch348YCZQR2cpSQ92NBdtO1pWUw6C76u2TWrkGdJq\n",
       "nwqcozTVYAAQBsxeVc63BkgD8H2g0idJOwvhfeRKn5j0gFkxlaw+td7f71YmvSO/NghnmJ3gWQKZ\n",
       "ApLJU7116vSyC5D004GwIVRrdLMMuLBKebUDiTbsSu8H1YuwwVXSyb4MvFYjHb2rnG8t2BP4uH3u\n",
       "yGg+r4R1UengpZMFzKxvlchetD7sloo+Rdtiwj7ct92SCnl3hhnmk8B/ZVFwvUbJVpGxDbWKAVO6\n",
       "WH7jOp5XuxkW+bxdZiqSaU/ArEWQ6EQzTI6JfH4uMxW1o70BszM4WUMOQm+VLCga2NaTAyo8Pgxm\n",
       "cbctehUd1x4G2TbndSn724fzs1jlqVeB4eyhJSa9mjPM91aelzSDfB3kRlt26ygjgSXAlcBOVkZD\n",
       "zl7/FzrHhE4mfwKJzvzKjIplIsjpFeooEzClO8iHK8yzVhwS+ZzXlYOOEPbPSgNmju8/y54Fxyr9\n",
       "gf0sYTBwEshAkMY6zzrt9pSk/f1qOHOMG7BWY4Y50LY5DpgSAL+N7Ki7X6hXwAwrI1Lh0gLSqyi9\n",
       "GpV1NHApcATIAG2UMkTLA3tv7WdBRha+83vgm8DJwPuroOEI4M/AzcA+tu/bwHMgI6qQfzuQUUWD\n",
       "gdD2kXusMhnkIfvcFTgO2CVyTvibSXMuUjwA+m/gVxUKC0e2cU76AOA3IBNAzgY5E2ScPVRVQyQA\n",
       "Obho52i0Pk8Hnqpt+ZmwHbCAQn9MwypgU9sHTqRHpI2MifTzOiKBPTn6CHAeyHHAYv3MBXbQr4FF\n",
       "wAZ01jmlTuK2t23aFZtwlWr7mPTQvpGBi3wKZHYFmnIaMGUfkG/b78WvRVfvWlB/fQPIuSAX1t4f\n",
       "pKOC9/mFzlgat7whK1+zx6J319GeBCD3grxk32+x9D1Tlh+zX/YBWQ6yK8i/QR4E2WB5h38rIp+f\n",
       "Brkb5DELrF8BuUo7v4wE2b5ohlXOJgLyqOV9rj0ksxDkX5Ey77IZ7TSzVbV+1pH0vs/fRcofYTPB\n",
       "h0AWq+3B6uEcO2YSyGj7fKrpHAvyc9s31GZ+YiP0wK7pt7YvsPzen6wL0Fn9q9opWpOGankAcr7l\n",
       "eXLkGpaDLLL0AKRotpdqtpBkrxciZYUDqy/Y9wb0SdkwvZpONsV7SGU7El+SLQ0gCcvsMhQk5naF\n",
       "nBapwyFm20EJugTkOpA77ZxpIFPt85XWBgTkZtVddZJ0rS7q99G/ASDvAnmuaP+zIMNi8uyoplBX\n",
       "f2vvgi4PY/3rtELZ8hWQe8z+3wG51Prqbyx9O63j1n53qOV3UaSo62h9N6wECboEZD+Q10GWgJwH\n",
       "cg3Ix1EfZitQ0kN9AZj9dgQ5q7Cv3STp+kRR/dxZaPvSxeormv6K1WvPlD6gYl3lMhWQF4HZ6Gjo\n",
       "emAAOisYQOEBkA3oTdiL0Bneu4AZ6HLfTGACMAYdvcY1yPnoSGkT8DSwFoJDYzQKGsgmQPCY7Rps\n",
       "ZV4PfA2YCjxqx98CrESX/64H7jKtA4FngF9CsAJkNDDLNDQA64DVwBx0dPcmBJNjNIW6AL4LwVdt\n",
       "11DgKPSe1w8pzDijzEZn+12Bx4CfovbeFx3BP6x5Mx7YCNxv9hoDrAcWQ/BCgq0A7gSi9nwIuByd\n",
       "BV+AzqynWf6NwBqz1wPAJAqj1+XoEvu96OzvUWB32r5a6+/AUuBkKy5O14+BM4EfAV8AvgXshdZd\n",
       "X+AHwCfRB8ZK/c7sJmAiOgv+AYU2eYrp+ovldSzwWbu2BmATBPeXsRfojGSZ2WJn4GwIrrDDfmTa\n",
       "Adaibe9ZtA0PRdv6dNPUAgwHrrJr6WfHLQHmmg6B4O0YTaGuh4C90Zn+uaatL7q83oS2hY+g9++v\n",
       "N82z0LY/z475vG3PQJeYT0Bfh3eV7bse7cMtwCvAB5PrkABke7sOzFa/QG+NBGgbjXIpcJqVdyfa\n",
       "5tYCO6BLi3fb9TyPtv1TrJzX0Pb4uF3fAgj+Ea9LQOvkU2gbeBptEw0QbLTDepq9/mr2uda+3476\n",
       "qdlmv67oikIXO+5NdEl3ueZHH9RXrIPgrhhNUV2gS4sftm0/4DArbx4FH3E3EK5yXAKcZVrDpcj1\n",
       "aF3OQ+trAerbPkHhdYUX6XHBt8rYCuCXaH+L8gL6ZPih6CsTr7b8ozxmZa9A/cozaNs+Ca2z2y1t\n",
       "AGq311H/sDsEVyXomof+2uBnwOHApwp1B+g96D2A62jt1wxHZ8n32rmNaNscCrxt+96y7WA7pwWN\n",
       "aUtN91qLK1voShMwv4EuRS1BG/+bwDtoEBmKLun1Bl4EpgAvW9pU24aVejvaUV4yw423z6DGFNQB\n",
       "fRH4Dy0vOD1Go4AsQxvqStRBHwj8LwQXRQ4LgO4QrC5zndGsG1Gjhw6mDxowAmAiBD+I0RTqGgHB\n",
       "3Jh00Fn0gcAH0ZdW/wldwu2PdpzJmg+b0eUk0CCy3NLnoQGir+3bDHSFYEyMLinslwA4ErgbgnXW\n",
       "4M5Bl3zWo3V7HVqfH0U7yweAP6D1Ohm4D/gSGnw2mJY/U7h/MgcYpZpYCcGl8brkbXSJ7Frgc2jg\n",
       "BXWUy4AdTc+DaKPugTqyqZZnH9TJrjbb7I0usfVCO+obdl0D0fvkzWaPTRDsnaDrFOAfZt/DreyZ\n",
       "EDxddKi1Cd4NHIQ6jUWoY93BbPK2ld3f7DLA8t1o17OdaWqEoDFGU6jrYtTp72+a+pqdVkRsMBd1\n",
       "HjaQah3o9Lbrf83SjkMd13K0vbeg9Xir2e67aFvrDsH58bZqbVvhQHomBDaLY7KVeQwaDBab9hno\n",
       "YGuMpS9FB5RrAVtZYIzpeNFs9oZd1xg7visEB8TrkgYIKnkSFZ21MA1t0wNRW+6AtsfdzUYtqKNd\n",
       "iLa9wPR0A3oktKtQ11moneei9jnEzr0Fdf57oAFoNep3btP8gidBdkL77xpgV7PFO2abW1A/Mgid\n",
       "sDSjt0eOBzZDcGSCra6xMn+DtscBqK2fQgdUJ1m+t5uuuWj/2IT6gLPQuvog8ITZbEc0uDai/bXB\n",
       "dL8FjEDjxhMQnJSgaxgEFf5jBumCTtBOR9t5YDrXof1tlP2NRX2VoPW7wq6hH9q2do/RlVx6pSdU\n",
       "maTp+rXagETQe1u7ZqypXFqtqXD5um64rlQkLptRJq3W5MxWZcvPo63KpdWaPNoqqfy86qr+SVUk\n",
       "hTHr/psq7xCV4brS422rMvKoy+uwMjqVrq3gbSVB1oZ1HMdxtgG2goDpOI7jOLXHA6bjOI7jpMAD\n",
       "puM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm\n",
       "4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpKCxTPp0sv2/ZNMT9melK05TmJY3\n",
       "XV6H8eXH7c9bHYZpedPldVi67KS0vOnyOowv33Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3Ecx3GcrZ17\n",
       "0CeVsvq7J4e64jTlVVeWmlzX1t22HKdW3EM+/UMi0p6Tqkhc+VnqSio7j7q8DisrP491WC6t1mRd\n",
       "V862R9ZtrmT5/uICx3Ecx0mBB8xtEpkCkvUIrh3IX0BuyVqF4zhOKbJ2qr5slp4KbCWn1jFgVrEO\n",
       "RUDWdUhN+fLzWIfl0mpN1n7A2fbIus35kmx9kN+AfC9rFWUIshbQATZlW7z0y7b8aiOng/TJWoXj\n",
       "bA3kMson7K8HZWYBIiAL66amTdlp98tpnXiGuaJDasqXn6BLRtXYbhnMMEVAPlruoNqU7TixZN3m\n",
       "ajXDlLNBHux4PlsVGc+CytKZZ5ibMyx7gG5kK1mZkfCfLyzOVIbjdBKq0fGPB/apQj5bEx4wa0eW\n",
       "th1o294Zaqgmw2zbNVMVjtNJqEbAzHrqnEc2Zi2gDDaz6JQzpSxnmENs2zdDDdUkvHfZI1MVjtNJ\n",
       "qIbDzNKB1QDpCdLRGVjeZ5jdbNucqYr2kYcZ5tby4E8v23rAdJwU+AxzS1YAZ3Qwj7zPMLvb1gNm\n",
       "ZfS37dYSMHva1gOmsxUgR4PU9HZJioApvwb5TNIBtunM98WKOaSD579ZFRW1IwyY3RKPyier45Nk\n",
       "NMigGpYdBsoBNSyjnvgM09lKkC7AbcCyhGN2AJnZkVLSzDBPA65MCIhhp+tZ2CWbQU7oiLD6Ip8D\n",
       "2QsknEEMTDw8mdcpBKS8El5nJwqYre1vTcJBs4C/1lBEf2AVHjAdJ0dIC3Bq5HucX5sCjAfpFZNe\n",
       "ljQB8wnbRpxEm+A5aMt0AmD/wrF5erhEApCukc87AT8FHqLweH1HHOJ9wKSc/xh8qG1bCrvkYpDz\n",
       "7PNIkAvqriqZcEBWbhm5lsFsIPByfBnSoAOvvCBdQP4GskvMAaFNt5aHmJxtk5XAdcDH0AH1TjHH\n",
       "hfuPKeyS7UEGV0uIgMwBWQLycZBxIH+2HztfZgFnGcgskKl2SmDpV9v3n4PMSChiZ5DJ8eVXtL/4\n",
       "sP4gZ4KcA/IrXa6Tb5m+/wNZbZ/PtGu7BWQByCKQb4B8DOQIkM+DnGGBttyLC84GuRnkRtvVDWS4\n",
       "fW6xwDS5ELRBK63DVPLigntA1oEcG9kXvnRhP5Bvb/kDfXkvyK6R742kowN1KJHgKKNAFoOsiR+A\n",
       "iYC8VLRvp5jVkQRd0lC0q6ct9y4D+R7ITyJpo0Em2ucjTUPvQpkyolD/ZUn54gJpJHHpWQIL3hNN\n",
       "z0Uxx/0G5EHavJ9XBoN8KfL9x2V0OU4tiLb3pkh/mggyJvL96IjvCkC+a5/H0PoApwToy1oWglwD\n",
       "cl0k79kgSyLfQ19Rss2Xu+8odt7DQDhyvg64Ebg9ctwdwBjgOeB54GvowxmXAzZrYQAwFbgf+CJw\n",
       "LTrTeRD9mcMUdLb6NnAo8AgE98doFJBH0MfiX0JHyCuBicC/0VnIWMuzFLcCHwAuBq6EoOieo4wH\n",
       "fmh6pgFrLc/A5MTZTdCZZTOwAPgL+hvVQcB04MCi4/8KzEUfMroatWkTsBB9cGiVbddFPg9CH0xa\n",
       "ha4QbACGQfBkjC4BuQS16S7oPcBBwB+A+cBSdDXg3SXO/Qi6JL8G/b3tKuD7wCjbfxZaXzsAOwP3\n",
       "AjMtfZGWE1yToGssunz9V/T+w7Po8mB3YBJwCvALdFa3G4U2dCYwDhgOTAa+bduLUbtP0Pzphy6R\n",
       "vwuCR0GOAV6BYKalx+kCXSnoDrwAhG/C+RnwI+AR4AFgsOkBuAJ4r9niLvQ++CeBX5rd9kHrbye7\n",
       "zl5o3fUBlgBvQrA0RlOo60H0Hs1Rtu97qP1fAC4BnkTb2XHAscBbpvEptK7eg7a3U9A6GmCffwp8\n",
       "CJ1xXggcZn9rgPvLtHnHqQUCcgCwN3Ap6tcfBs629FdtOxb4HfAFCBbaQHIh6jOjq1HzUB+4Bu1/\n",
       "V1reI9GVoz+hM8+ewHQIDqREm08TMHdGg1Ff1GndCMFGkE+g98DutXxmoEGwG/A3NHgNQZ0GqHN4\n",
       "h8JyYLHD2owuiUZGzrEdVUDOtzyagdFogF6GOupFqDN9GXV8b9mxh1vaE0AXCFI8cSnvAV5Enedk\n",
       "CP4Yo6nomuQ49Pqn2zUdhP5T0lmowwet7Dmo7Q4GRtg53dAg3WKfu9h1brD9Dfa92cpcA8HQGF0C\n",
       "8gs0wDyBDm4eBLZDA8ArwGw0eA4FHjWtC4H3W/oS9Mf6422/oPfzRqMOuBkNmMtRB74WtX8TBEMS\n",
       "dK2ya3kZ2BV4Gg2Yc9H2dqfmQRc77hLgZOAzZpcRltdyO+//zI6jtiyLxRTuTb8FwbAEXWebfeah\n",
       "7fgh4C4I5tghx5uOdWidBmhgWmm2PN7ssCM6uNnONPW1axtoNuoJhKsL6yFoitEU6rrcbLE38Jrl\n",
       "10jhXvQMtI422fXejQ5ir0AHS8+gQRPUAX0ddUJ/Q/v2G6gtoy8ieRmCcQm6HKcWCMhzaDt+GO0r\n",
       "fdA+fi86yN8PeAaCm0qcPgrtk91R/70IgvAB1X2BT+i5XI8OHI9AJ3u90NhwM+0LmNXoKBL+4Hs5\n",
       "0B2CJSAD0dlNC9rB16BBMywv0MAc59Qy68BJZedRV5aaksqvoa7o0nmwUZdm6IkOqLrp52B2/XXF\n",
       "ITYgCNYnlF2tvtgNWFdwHiWPeS/69p8/A5ttYOkB06knefVbZU/Kkk748vXMyKOtksp3XZWVnVdd\n",
       "jlMLsm5z/u+9HMdxHKe9eMB0HMdxnBR4wHQcx3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQcx3GcFHjA\n",
       "dBzHcZwUeMB0HMdxnBR4wHQcx3GcFHjAdBzHcZwUeMB0HMdxnBR4wHQcx3GcFHjAdBzHcZwUeMB0\n",
       "HMdxnBR4wHQcx3GcFDSWSZ9Otv+XbHrC/qx0xWkK0/Kmy+swvvy4/XmrwzAtj7ocpxbk1T84juM4\n",
       "juM4juM4juM4juM4juM4juM4juM4juM4juM4zlbG/wMRgseXdFw35wAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa78eaaee50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Datasets:\n",
      "  D : (128, 96)             , float32\n",
      "  X : (5, 100, 149, 2, 96)  , float32\n",
      "  Z : (5, 100, 149, 2, 128) , float32\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Overall time: 2644 seconds\n",
      "\n",
      " -------------------- Classification, diag = False -------------------- \n",
      "\n",
      "Software versions:\n",
      "  numpy: 1.8.2\n",
      "  sklearn: 0.14.1\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Datasets:\n",
      "  D : (128, 96)               , float32\n",
      "  X : (5, 100, 149, 2, 96)    , float32\n",
      "  Z : (5, 100, 149, 2, 128)   , float32\n",
      "Full dataset:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 149, 2, 128)\n",
      "<class 'h5py._hl.dataset.Dataset'>\n",
      "Reduced dataset:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 149, 2, 128)\n",
      "<type 'numpy.ndarray'>\n",
      "Flattened frames:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 298, 128)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=128 -> 17,280,000 floats\n",
      "  dim: 34,560 features per clip\n",
      "  shape: (5, 100, 6, 45, 128)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=128 -> 17,280,000 floats\n",
      "  dim: 34,560 features per clip\n",
      "  shape: (5, 100, 6, 45, 128)\n",
      "Feature vectors:\n",
      "  size: N=6,000 x n=128 -> 768,000 floats\n",
      "  dim: 1,536 features per clip\n",
      "  shape: (5, 100, 6, 2, 128)\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAFCCAYAAAB8Ye0uAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXe4JFWZ/z89c8PMvTN37p2c5wIz5MyISJCcFAUMmHYV\n",
       "dNGfOa85rHkNq2uOq645YURXUBxARVEJSkYyDHmAIcwwA5zfH99zblXXrequ7q6O9/08Tz/Vobrq\n",
       "VNU57/d933PqFBiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGEeN/gNuBfyS+\n",
       "/whwOXAxcBowJ+P/HwEuAf6zjn3vARxbx/9aycHAE9pdiAqcDHyq3YVIsBT4QUHbOgS4D7jQv95e\n",
       "0HaLZpzJbagRvgTs6N+/tY79nAzcSXTeXhj77QXAVf71/Nj330Lt/f2x794OHJ+/2IUwTrHn0jAK\n",
       "4yBgLyZX0COBaf79h/wrjXuBUp37PpnajX2pgf3Vw7uB19f4n+lNKEcWL6CzBLOv4O0dAvys4G02\n",
       "g3GaZ+Tvr2M/LwA+mfL9XOAaYNS/wvvdkUgDnAHMBpbQ+nPfhwlm25lWfZUpy7nAPSnfnwk85t//\n",
       "GViess7PgFnABcBJwALgh8D5/rW/X29f4I9+vT8A2wMDwHuAZyEP+CQmi9MlwErUgK4Evo4a0grg\n",
       "jX4fF/v/JXkJ8OHY55OJhOVf/DFdCHyeqH4cA/wNuMgf/yq/ndf6dQ/wZTnL7/c3viwAX/Pb+pPf\n",
       "78FE3v0F/jwlySrHZ4G/+OOPH9vj0Pm7yO8nbHMp8CsUMWRF+vH//hkYBmYAXwX+7st4iF/3PGDn\n",
       "2H/XAXv7//yP//8FwFP97yejuvBbovN2Sey30zLK9yJ0Xf+MjHWW8FdzkKaj8/8Pfyyv8d9v5/f7\n",
       "V+AcYAf//SLgx+hcXATs579/nd/GP4BX++/GUabli/6Yfo3OG8A+qB5cBLwsVp5diK7rxcDqRHmf\n",
       "CXzMv381Ei2AbYHf+/fr/PY/BMz02/oG4PzxppUnTpZjeTQSxHv960xU77f4/UwD+lHbfw/wzpRt\n",
       "BJpVf1zsv+Po2v3Nv0K25xD//S+AK4DPZRyvYRTOOJU9up8Dz834Le79fhuJCkjoLvPvZxNFXUcg\n",
       "UYXJXvC7KBfMfxAJ5qNIeAGOAr7g30/z5TsoUa75wNWxz79EAr4TapyhPJ8F/hWJ/Y3I2IO87lCm\n",
       "18W283O/PsApyPCCDPbPiBrtz4ga9xCTo86scgCM+eV04HfAbsjBuAYZUZBYTkfG5hp0jgeB64Fl\n",
       "iX1l/ff1wJf9dzsAN/htvIZIqJcggwTwAeB5/v0oErshX4abiM7ZOFF9yirfUuA6/58+ZPzSIqKD\n",
       "gbuR8PySckMc2AeJQGDEL39LJFaP958Bvge8yr8v+fX3QYZ/JjLslwB7+mPZiiKw8N9wDv4OHOjf\n",
       "f9h/Bgl/aC99TBa0RcjZA7WFP6Pz8QKidOjvkMjA5AgzqzxxXgCs92X6AZHD+3rgbbH13k7U5j6O\n",
       "hPm16Ni/TGVaUX9m+m0CrEGOJEgwN/l1p6Hr//Qq5TVyUnSaaCrxNuR9fjvHukcgIQjMRg1iFPhf\n",
       "ZLwc0fWoJb16A5GROcq/LvSfh/22z42tfxdwLTKU/0T9QX8EXoGM41/9ejOA2/x65/j9gLzvQLyM\n",
       "+wEn+PffJIpiHTJMwTv+AzJA30IR1i2J4zk8UY6ZvhygqPtUdJ6WEInErcjLBnggtt/fEhnVy5AR\n",
       "ie9vh4z/HkAkUleiY18DfB8ZoHejyD/0Rx4FPAV4g/88iBwahyKD+DmLk1a+BcDZsf/8AGUeklyA\n",
       "oviHUH/3T1LWuwZFZ58ETvdln4Uclnhf6oBfHoqie3zZNyLhOw0ZYfz7g5BTcx2RGP7Nl3+Of4WI\n",
       "8BtE/fF/RO1mud/OPxPlvd2Xb5Zf59vAE30ZfpRyDpKklSfJz/12twIvRtmZw6ts97Wx9z/z/3sb\n",
       "EuczmSygrag/A8Cn0XiHR/32A+cjBwzgO+Q/f0YVTDDr42TgSVRvaIESEp4tie8/i4zmiSiCW5fx\n",
       "/0coT5/HPfMHE+t+EKWlKvFd1GCvQIYr8HXKB1IAHFdlW3GyRP6h2Pv/ROmiJyPxPBoZlThp5dgG\n",
       "ee5r0WCXr6Lz4Mjm4dj7R6mtDzXtWNajqG43dP5eEvvtaZRH7qBrnrw+lcrXx+TjyTqn8ejqV6gu\n",
       "zQU2xL6/Fxn1Y4D/58v8Gv/9XhnbTe7PJb4rxcqYLP/MKtv7DkqZH4ei4pegiDHOH1GG4kokui9C\n",
       "Av86qpOnPPHz8xUix+4WotQpyBk5K/Hf45EjNxs5Is8C/g85f5sS6za7/rwWOXv/iur15thv8TpU\n",
       "onIbMWrA+jBr5xjUT3g85ZW0EmcQpbpAXiEo5bXevz8l9vtG1CgD1xOlofZG4pHGr9Gov2H/eRmK\n",
       "WJL8GEWDz0HiCRLuZ8TWn4u83D8hL3889j3IYMfL+Efg2f7981BUmsZ2wKXIUP2FqP8skFWO2ch4\n",
       "bESpu2ORIbgSRZtr/fohzZ1msJLfZf33XKIU2fZ+/0HUvwe8CV270B/5a8qvbxCjWvuOHDonBxOl\n",
       "ZJ9OusFbFNv+vv79hsQ68/w2TgPe4ct1P4rEnhErY0hj/hZ4qX8/HR3juaiuhJTsCf67rGO7Dwly\n",
       "6IKIp0W39fv+FPBTJBxJzkXt62yUKTkUtbP7U9bdSu1O/+LY+6cSdY+cgSK9UZT6PxJd10A/6lf9\n",
       "MDoX4ZpM978lj6HZ9WeEKPPyfMqdwX2JUrInUZ5hMhrABDOb7yAR2B71IwRB+xRKGZ2JGvRnM/4f\n",
       "N3KvQkb5YiQWwbP8MIoIL0AVPvzndyjdeCEaCPEjJByXAC+nPCKL7+dMlG46D6Wmvk/6oJp7kaFY\n",
       "SZT6vBz125zhy3kGMi53oRTUaWgQx3f8+j9HkXEY9PNKdI4uRsYiDA5JlvHVqB/mYhRx/ypRtqxy\n",
       "/N3v6wrk0YeU31bk6X/Kly8M9nBMFprk5y0p/x1E13Sa3+d3Ub/XVv+fH/r/fD+2nfcio/l3dI3+\n",
       "I7a/rDKk/QZyoD6A0mq/RwKzMWW9Z6DzeBHwCSJnJc4yVJfCwJi3+O+fhyK3i3x5wyCTVyOB+juq\n",
       "Fzv5/37Nl+dPaBDSxYljSR7bKcBniLoGwvcn+f1diAYA/W9KmX/vy30OGmBzI9G1TvJFX9Yw6Kfa\n",
       "9Qa1xUvQsb8CZYtAzsZ7kcNyPrqG8VToy9B52Oz3OUR0npLXpxX157N+uxchp/OB2Dp/Qenay1D3\n",
       "y09SzoNhGEZPEDIEfajPrNX3+xndyyHImTWagEWYhtF5vBtFYf9AEcJP21oao5vIylwYhmEYhmEY\n",
       "hmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEY\n",
       "hmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmH0KqUqv68DDm5BOYzO52zgkBbt\n",
       "ax1W7wzRqnq3DqtzRkRd9c4VXw6je3DzwN0fPrRyxy3cl9HZtKouWJ0z4qTWh2mtLoXRVfQB/e0u\n",
       "hNEJuG3AndPuUhhGOzHBNCrRj0TTMOYCi9pdCMNoJyaYRiX6gengqvV1G73PAOY8GVMcE0yjEiEd\n",
       "a4bSGMDS88YUxwTTqIQJphGwCNOY8phgGpXoTyyNqYtFmMaUxwTTqERfYmlMXSzCNKY8JphGJSzC\n",
       "NAIWYRpTHhNMoxLWh2kELMI0pjwmmEYlTDCNQD8WYRotx70J3BHtLkXADKFRCUvJGoEBYBq4aVB6\n",
       "rN2FMaYMewD3tLsQAYswjUrYoB8jMOCXVheMVtJRfeddJJiuD9yMdpdiimERphEwwTTaQa8KpiuB\n",
       "O0Mpm6bwPODDTdp2l+DeAW5ZC3dofZhGIAhmxxgvY0owSFT32k6R4jYdOBIdYDMY8a+pzPHA6hbu\n",
       "zwQTt6vNpQtYhGm0h16NMCcaVLMEc4AO8jTaxADNO79pWEoWTgN2aHchOgCLMI120LMRZjioZvUz\n",
       "dtSJaxMDNO/8pmERps53K52UTsUiTKMd9GyEGQ6qWQbdIszWC2Ywjh1TYduA1TthEabRDgbpoDpX\n",
       "pLdoKdnmYxFm65ni9c6NAy/HIkyjPXRU++umlGxHheZtoh/rw2w1HdVg28A4cDgWYRrtoaMizG4T\n",
       "zKlsuMAizHYw1evdIDCERZhGe+ioQKnNo2Td7uDy3ioy1Q0XmGC2GFdC52Aq17tBYBiLMI320FGD\n",
       "PdsdYb4POKqG7XfMiWsTdltJawnHPZXr3QAWYRrto2cjzHpGydYyZH+KC6abhoxVO0bJTlUjOZBY\n",
       "9hhuLbhDqqyUTMl2jPEypgQWYcYYxAQzL82+bafSPqeqkexxweRo4IQq64RugFDvpmpdMFrORJdI\n",
       "x9S5ds/0E2+IebbfMSeuDTR7UFUaU7wPs+cFM0+GJ/w+B9jK1K0LRuvpOIfdIszuodn3uabRcRW2\n",
       "xfS6YM6kensNxz4GPMjUrQtG6wm2rmPanwlm99CuCHMLUzeqaIeT0kpqiTBHgYeYunXBKAx3Frg5\n",
       "OVbsuH7zdqdkTTDz044+zD6mtpHs9QgzT5dIPCVrEaZRBPsAc3OsF+pex9S5do+SNcHMT7sizE10\n",
       "UIVtMSaY0bFPY2o7T0ZxDJHPjnVc+2t3SrbWQT8dc+Jqx5XAjTawgXb1YU5lI9lxDbZgZpI/JQsW\n",
       "YbYINwBuRbtL0RxcP7InM3Os3NMRZitSsiVw02sqVeewC3BGA/+POSTuB+D2a6w4rg/coiordUGE\n",
       "6frBNXM6xviy16glwoSp7Ty1kqOAz7e7EE1iyC/zRpiP0UHtr90RZq2CGV92G6P+VS/x87sNsLjB\n",
       "8hwJfKXKOv3AZjrbSJ4KfKBJ2+72Oge4J4JbmfFjLYN+wCLMVjHLv3qRYb/MG2E+QAfVuaIF8wFy\n",
       "C6abjgzxVBHMISLvqh4GkMGagYS3kW0BjKCBHJXohpTsXGDbJm2744a118HLgSMyfstzW0m8fXZ6\n",
       "XegVGrUVnUytEWZHOWlFC+b95BfAsF4tfZjxZbdRhGBuROdtlEkemjsE3A41lme4yjp9dHxKliFg\n",
       "ef7V3Vxw3865crfXOdA1zrrOeVOym/37jjJePcwQ+SKwbiTYwFoizI5pf0WPkt1IfgEcTCyrMYBm\n",
       "GumYk1cjM2msEQTBnEl6hHkKmuosL3kEvBsizCFgWQ3rL0XPd8xDLwhmpeucNyV7r3/f6XWhV5iJ\n",
       "RZgQZS07xknLIZiulHNbwaA3UzA7ytuoET+U2tXrpPSjCH4eMJ3JDapSJJFVnmrrd8GgH4aBRRpZ\n",
       "mHv9vOep4wYd1EElwcw708896Dw8TGfXhV5hKqRk80aYD9JB7S+P8a4lZVpPSrZWwezWBltLRUkj\n",
       "nN+wnSIEM0+EuYnOjiqGgBKwJOf6w/pPLkew2500qOwY1RJhbgEeobPrQq/QaDaqk+n1CLNmwaw1\n",
       "wsyxvisRdQB3q/GamVjWSojgk9sLTNUIMzTAvGnZYSSwea5DLwimdxBSyTvTzwYkmFvp7LrQQtyH\n",
       "wM1u0sYtwhRdKZh5DXytKdmwXp4IczpKCW2ie41XVmSYl+CQJLcXqEcwB6vc19otEeYD5B/4M5xY\n",
       "ViI02G6eS7ZaSra/SjdBSMlahFnOqUAtg+xqYQjo8zf59xq1RJiDqN98egNdWYVSdIQZRnHmYRAZ\n",
       "4zzrD6AGu4W2CabbOceN/pUoQjA3Iy8/bTv1CGa18nTDXLJDwFU0VzC71UmDzEzCRNZmC5XbYDwl\n",
       "axEm4M/dCFDAbDxuJ3AHJb5sNBvVydQaYT5MB9W7oiPMWlOyeQU2NOyCR8nmHigC8GbgpAZ2VkRK\n",
       "dgsSzUdStjOL4gWzW1KyV5NfMMMN4WkiMi/xRZcLpiuRnZIdRPVpE5XbrEWYkxlE5yFrQohaeApw\n",
       "cuK7Rp3rFNzHwY0Xt726GULZwrwRZtcJZl4BrOe2kloFs+gI8zJweQeLjFL9Rv9KZDQCNw3cazVV\n",
       "XUXignnb5O0wzKTZQdxJ4F5UpTyVRLZbUrI3oNHDeciIMF0JuA5c3BHpcsGkn/QR1SCHazMySBZh\n",
       "1saIXxYx3+scJtuVJggmRwNrCtxevQyhPvG8EWabM4vlNKMPM29KdgZwH/lHS4UTV1CDdTOB7YBY\n",
       "mtV9q8LN/00STOYB/wW8ssr/w32om4H1KdtJS8nuDaytsTxxuiXCXE/+a5OVkp3tX2Ox77pdMCtd\n",
       "4xno2m6mchscJIowt9IS58kt0KtjCYN9miWYzUjJjtHY1JxFEQSzQp1zx4F7BSpvz0aY9aRk76N9\n",
       "Eea4X8afy/Y4sqdZK0owk41gDHnw/1GlYzs8zPlhJgmm6/e/J0WgUiPppQhzPfmNQZZgjiaW0HbB\n",
       "dNPAvbCBDVS6xjOQWG6mchscAG5GRu4RWmO43gi8ugX7qZdWRJiOYiPMRueyLooh4G4qOwOvBd6N\n",
       "JmPp6Qiz2X2YRZ64bfwyHlHMTXyO06hgzkSeerIRjAH/RHn9ShU6npJdT/l1qSQCWcczhM5/Lwz6\n",
       "aaZg3k/7GutC4EsNjBAcRvUqK8IMKdlqEeZFwGG0LMJkJflT7O1gNuoGKKIPM0sw02xFnbhw+1Aj\n",
       "9qsockSYzAV+jWbl6vkIczDnTeFhnsC+HAahGYN+EoLppvn3WU8CLyLCvJvJjWAUNY47gfkV/h8X\n",
       "zFsT2wmGsdYI886U/8Tp8JSsC/dT3kZtgrmVtkWYbidwz8+58nzURuuNDIaAu8juw8yTkvUjFUuP\n",
       "UkiE6U4AV6megwZwdbJgjgBXAgtzjD2oRlZK9i6KS8mm1e12kSfCnAv83r/P2Xfu9gP3sgLKV5Gi\n",
       "I8xNqFHlMTCDqLFWG9Yett2MCPMRoghsNjofKYLp+vzvjQpmWiMYQ4J5F/kE8wHgRsqN4CzSxa9a\n",
       "hJllTAOdnpKdgTzQDdQmmHeQ7lzEl9CclOxhQF7BnJdY1kq4xpVSsnkG/Wzx74vw9N8GJG+jSLKC\n",
       "bMe1ieR+1u5sVOfuQFFQnm3vlTFKNSvCTHOu6yXU6RYJphsF9/uMH/NEmPOAc/37KnbfLQC3LbAf\n",
       "8OR6SlsLRY+S3YJORp4GnrfBQlMG/bANcCmTDWWawIQ+i0ZTsmmNIPRh3glUGugQzsFzULoiGWHe\n",
       "yeQp3xqIMF2Jjo8wGUIp443ArJypy2HgdgqPMN2/gzs+x/5XoVRrHkI7qhaRZTHMhFM0KesT78PM\n",
       "aONl92pCMbeVLKTis1zddCRCbRDM3IIygurcelKnZHTzUyLP16C2m2QOmmM6bgPzRGG10OoIcyWw\n",
       "f8bEC1WOzYVnJF+GZnarlpI9GXgHqleN3Cefi6IjzC0oPZbnVo1wj02tgllkhPk3IoGcW750u4ML\n",
       "t2mM+n0XEWGmCWYNEWbpNmTEk32Y9/kyHqayT2x7LCNFHgQzy4sNsys9TOdGmF4wS4+ixpVnqrKs\n",
       "CLPRlOz+wD451ltF/oYd6kMjEeZ9pGd9wm0llQb99Ou/pcf85xTDlflw6hRcCR17pYefL0J1rx0p\n",
       "2byOyWzU/XQr6bbue0yOdpZkrDsHeJQJ2zLRzVBDhOn69T/3vYTwBsbQIKJW9WEuRtNPpgUA1SLM\n",
       "Mf1eegyJZrWU7DLkYC0ivyOagat6H3vRfZhbUCWq1CACQTCrjdKLb7towbyASUI5sfwU8FT/fhS4\n",
       "iWL6MCulZKtFmGGWn03azoQQDiPBeBB5ss/2vwXjn3Lv58QcoVmVxBvLlo2MrIdhFGGCovQ8HvQs\n",
       "sgVzE/UL5jLyzWe7CpifM/3XaIQZIvCHmHy84baSSoN+QhsNJCJMNw+4soZU5ojfZiX7sBxNRNGO\n",
       "CDOvSIcI8zbSj2UXolH4gaVMEsyJGYNuIbIt/chRrTYgL2xjDop056OJVdIcmFFqGxiX3Mfe4J5R\n",
       "wx8WJ5ZxqkXPc5FdAvg2kWhmtcFwXhfqlfvpWgncTOBmPS83m6IjzK1ke11JmhhhpnpZ8d9HkRd7\n",
       "DeWp2Dtin8eJBgaNoqH1MxuY3zHLa0wZ9OPSbm2JpcZKj/n3wdDFBXMXZJRnIWfkLiY3lDDg4wH9\n",
       "101Puf+0D13PVo2MrIcgCJBfMCv1YV7H5D7MTXpbVRSWkq8/Kxi0PCI4HxnPRiLMIJjJepcjJVuW\n",
       "joXJnv62/r85+/EmIutKgrkCuFzbrWkmriLI65iMkBlhujF0nMlbTpYw+TwNI/t3N5FgDqE69xD5\n",
       "bO/+vtwH+M+rUtYZA66n/pTsccALalg/j2Bm1bm5/neg9AkonU/+CHOQqPusVvZH52f7Sis1K8LM\n",
       "I5hhwEa1Ye3xbecYJeu2B/5RZXvbION4D+Up2X9q6fqRpxuEK4jaRjIviBvKvtnalcjuyE+kZF0f\n",
       "cGlKqiv0EQfiRjAumOOo0YS+0fgxBpKG9DDgpyn720rbpkPL1R8ZF8z7aEwwR5lsVMKAlyoD01wf\n",
       "Mg5VIkw3iMTvKvKlZecB19JYH2aoF8l6l2emnyoR5kQUNU4+FqFzWS3CvBFFGa2OMvM6JrPJjjB3\n",
       "9MvYVI1uBjqWpF2cg+rtfUSCORPV6U3kS8mGAVRP9Ms0wRxF9m4OuCeAS9gw9xFwz4t9nhXrjgJY\n",
       "jSZ5yUtREWagUqC0DF23Fche+bSs2xPcZ3OXGA71y4qzITWjD7OWCLOeQT9Zo6XmgHsusBewZnKl\n",
       "KCMhmG46ulAh4lyGzk1cMO/1r6y07MuATyfKtDO49xEZ3vjzLANBMMOgn+2QA7FzYr2ktx/3QGch\n",
       "o/gA6jtYRSTy9zBZSILQPIiM6i7A6kRkPoaMQrtSsnmMRTLCzJMyr0Uw82Y2FqHGWi0luwKlxtaT\n",
       "TzDno9sXiogws1Ky1SLMuGAmPf3xxNLj/jujP2ghSrFVEsxtaZ9g1hphpo3X2AnZlniEuRgdz5JE\n",
       "ynCUyYJZKSuQxkGou+hg/7lahPkFIDk47SDgwNjnd6KJAwKrgW1quB94McrIJa7zRAq6UoQ5j8mC\n",
       "mRFhuvAc3Lv8vi4n6sd8InBitJ6rNtf0ocB5FCCYtY6SzcrrJ6m3DzPLeJ8EfBbYzX/eRQs3E9wX\n",
       "EqPWgmCGRnk5cAjy5uciA7Ce8pTsvZRX7CRrgX0T3z0JeAlRmsX3PZaRHPQThHKXxHpJwYx7oPFI\n",
       "4m5kjBf47d5L9QhzZ5SiPgHc3/06e6Mb1tuVkp1VfZVaU7ITkX7WLTjXUZ9gLkVCMNtHE1msRGJw\n",
       "O6mC6frAxetQiEaL6MOslJKtFGHG61xahHkfsAO4dTp2twR4FfD4lO0tAi4GFlfoa9oHjS24m86P\n",
       "MNPGa+wEnEn5wwCWoH7ZrSjKe4FeqRFmlZSsGwTnHwLhFqAA4XvAnsh+ecF0p/quJ4jGYAyjtr53\n",
       "bHvTkK3ZPfqOfdGsZ4HtqO0h7YuBC5l8blb54/ITr6TWgbQIMyslOx8FCdf57V5H1K520/7dfORM\n",
       "/LF8f246uOP8+1nAHsDX6PAIs8g+zKehSvdMVAGD4BwEvBhNPhwIghnEZA1wOLqQj6FKda6Oww0Q\n",
       "RWuVBHNvYGUiLft4dFF3I9twJSPMnZGxyBNhpgnmNchp2ZUoJVstwtwZCfZrVVY3jgzX32hfhNkE\n",
       "wWQmqm/3k78PM49gLkMe9a1U7s/bHQng7cg5+Uzi92OBs4keTOwH1dQdYVZKyS5G9dl3ibgZTH58\n",
       "XTIlmxZhno1ulzgY9aMFodwvpTyL0Aw5fnCVGymPWlwfMvwXkP/2tCKZr4FM7jRwb6iwXkaE6Z4O\n",
       "PB04Q99P9HsvRXUj2MaT/auelOyRwHe9Y/Jl4DPAJciWnwusArcQRZIh4+VHnk48gH6v2PZWoja+\n",
       "m66Fm+Z/38t/HkFt8UKypw1Nshg520nBfALwJyg9gkYGp9mVHClZ93JwH0Xt7hZkt+/wrxBhBpu7\n",
       "G4oeVyTK/3zg5+BWoHp7AfB3iokw3XRw3hC4GeCOSVmvgmC6BeCS6aq4YCa8crczuNXlZUgzXG5A\n",
       "B+xG0UH/GHXa/oRIMI9CfZOnxLbnBbP0CKr4V6IIa4N/7YU8wltRhaoSYboR1CjOpXyy8/1QRTuM\n",
       "bMEMYhyPMH9MbSnZuGG8wb/2JF+EGQTzNGTs7kEVLAhmD0WYZeepoJSsW4wa4i3+VUkwn4mu7e3I\n",
       "sL4kIVJPRfUwjM5uUkrWlZCD+QuilOwHgdMTXn+yzqVFmOvQ8d8PHIHq0CVkR5i3EwnN74C3+si6\n",
       "hPr/1kPpXtoXYf4rOlevBbdHxnrxPsxFXljmIAF7M7rGG4gEYwky6rei9OZa/1pCrpSs2xncNzVO\n",
       "gicjm/l5ZNzfgRw9kP1ZCRyD7tXeD9zhRDbmXuBXTIghIMf6T/54VqFo8h50/tf4z9cgG5rSj+l2\n",
       "BHc6uB+De1csTXoRkwOn/VDaE6KR/m+g/IlRVSJMV0LzDD8L+EDsvN7uXwtjUfPPkGAejK6VT1u7\n",
       "YeA/0FiX45B9/h2y+WsqZD9yGcJ5wP8AT/Mn/4XAqeBeA3zTH0y4wTmMkl3svWSHDPdPgWngPo6e\n",
       "zAHRCLHNwPO8V3SW/88Z+t4dgDyRV6IZQsZQJfgQ8FvkpR0HnAP8ADgfPV/ux8Br/IU4Gni5yupO\n",
       "QA18NVEluwN4PTIe96CLtQ9K716Loq7jgFegCrcc3Jd8ud+JGtha5J38CTgS3B9QtDgT+BYyjiHN\n",
       "Mgvc3qhSfwc1vvv8cd+PooznAieBW+PLtNlvK9xWgt/WIu/V7g78HKUnNiAjtzeqBBv9erur7NyB\n",
       "HIaHgCuQYXMoUngx8BHkZLQ7wtwe3FNQCvMMJOL3AX/05XWoccUFc5vYYIWdUQP/DTofDhmT0Nc7\n",
       "F9yT/W8Xo7p1A0qZhbobd9SWg3sQ1ceDUEN9Kqof04D3IYFbA+5KdM6C0/ZXv+8dfXkWoWt6JvCf\n",
       "4G5EEcFTgPcDr/JlGEGGagHlgzCGkbe+ATX8L6D6CxLcnfy5GiMyvvPQ6OtH/XnZgozakUj4TvD/\n",
       "OZpolpbwtIjAVjT15UJkDMdRvQH4KOobewD4BPBB78iOo7p/J3ImzkTG680qE68CnoEcg3X+XEF7\n",
       "IsxFyL5du+fhAAAgAElEQVS9Bo2a/Di4B4BPom6bh4nuEb0fSg/731cwEVmWvq9NuZuAXVSN2AHZ\n",
       "xTHUtv/m93ciOhf3Ajv67NQCIlsx7tv3K9C5Ow0J3Pv860QobQEXbNkfUNR1EvBDdI0/7Mt3q9/P\n",
       "mSj9uC+4a5DtuhQV9Hh0jf/mP++P2sA1yBbu6OvhHKLbYT6HRPAvwHtRpmUYdVEsjdXbftRuwqT6\n",
       "m1EQ837gADTWY4svf6hTgS36r7sJZQBL+g9/Bn6J2uIyZNt2I8qunePXW4v6ZI8E9wvgY0hrfuXL\n",
       "MB94A5Tu9m08a3Y0qt2zso6oM9mY2pyN+nlbwTqs3hmiVfVuHVbnjIhW2jvDMAzDMAzDMAzDMAzD\n",
       "MAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAyjQGzydSMv\n",
       "Nvm60Q5s8nWjHdRV71zx5TC6lFbWBat3HYfbG9wV7dhxj+3HqAn3DXAvaseO077M8wBpwzCMftrz\n",
       "IHFjajODDqp3JpiGYeRhgPY8SNyY2sygg+qdCaZhGHmwCNNoBxZhGo3inghuTrtLYUwp+ukgT9+Y\n",
       "MgzSQfXOBLM7eRfwhHYXwphSDNBBnr4xZbAI02gY608yWo2lZI12YH2YRsNYesxoNVbnjHZgEabR\n",
       "MGa8jFZjEabRDgbpoHpngtmdmGAarcb3Ybpqs4MZRpFYStZoGBuAYbSaYLSmt7UUxlTDUrJGw1iE\n",
       "abSaUN86xngZUwKLMI2GMcE0Ws2AX1q9M1qEK9Fh2TQTzO7EBNNoNRZhGq1m0C87xtaZYHYndh+m\n",
       "0Wr6E0vDaDYz/LJjnDQTzO7EIkyj1ViEabQaE0yjEEwwjVYT+jA7xnj1Lm4GuO3aXYoOwFKyRiHY\n",
       "TeRGq7GUbOs4AvhkuwvRAViEaTSKm4buhTPDZbQSS8m2jplEYjGVCeegY2ydCWb3YZ6+0Q7stpLW\n",
       "MYPofE9lLMI00nDTwV2Uc9oxE0yjHViE2ToGMcEE68M0MpgJ7EE+Y2SCabQDE8zWMUgkFlOZGcAj\n",
       "dFCdM8HsDGb6ZR6v0gTTaAdW71qHRZhiBnA/HVTnTDA7gyCYebxK60sy2oHdVtI6rA9TzAAeoIPq\n",
       "nAlmZzDkl3kE01JjRjuwCLN1WIQpBjHBNFKoJcI0w2W0A3PUWof1YYoQYXaMrTPB7AxMMI1OZ4AO\n",
       "G4DRw1iEKUIfZsfUORPMzqCWQT/Wh2m0g35gE1bvWoEJppgBPEgH1bkuEkw3BG5eu0vRJCzCNDqd\n",
       "fuAhOsjb72Fs0I+wPswGeB7w/mI36b4CbqTYbdZFPYN+TDCNVmKC2ToGgT4/DeZUptdvK3H/L+ds\n",
       "NfUw27+K5KnA4oK3WQ/1RJhmuIxWMoAEs2OMV3txL9VTRZpCsANTPcps4W0lbvs8axUomK4f+BxR\n",
       "tFQ0M4mEpSiGgOGCt1kPtfZhVjFc7s3gXtV4sQxjAoswy3k/sHOTtm2CKVo0StaVgEvAza22ZpER\n",
       "ZjD6owVuM7n9Aj06V0KC2SyBr4VaI8xqnv5iYBG4heCWNlo4o1dxe4DbP+fKNuhnAjcN2bltmrQD\n",
       "E0zRqj7MmaheV30GabcJZpERZhDfToowixLMIb/NU4HXNlY0o4c5HnhWznVDZsMiTBgBSsC2Tdp+\n",
       "sE1TXTBn0hrBDBrQUsEMkVq3COZQYtlOmiGYQ8AsOuP4jM5kNvnrR4gwTTBhzC+bHWFO9ckLHgdc\n",
       "TPOzGrkFs8jKH4z+nAK3mdx+kYI5nFi2k1pGyQZPv9IAqCHgUeBhTDCNbGaTv/7ncdSmCq0SzCkc\n",
       "YbrtkcP/Z5rvpM3yy25NybpjwB2csv1mRJidIJi1Pq2kmuGaSRRl9rhguhFw85u4/cf18PD+EWqL\n",
       "MC0lK8aAO2heSnYQeIwpLZg8BTgdSo/qo5vexH11fUr2GOCwxHcFD/rpuJTs/dSWkq1kuOJi2QkO\n",
       "QTM5lcLvzy3ju8BOTdx+O6klwhzABv0ExoALgVVNcqYGgY1MbcHcHzjLv99Kcx21YeBaujfCZBZR\n",
       "mBzffi9HmPdQUTDdgeAGqG3QzzCd4RA0k/nADk3c/giT62KvUGsfZo9HmLmjmDHgFuA+YEkTCjID\n",
       "CeZU7sMcAe727x+huY7aLOAKYEG1e2tNMDtHMO+lcgP5POoE76f6/IpDTJmULHOBXDcd18lsprxg\n",
       "uhISyl4f9JO3rYwhB/cuVP+KZhBlnKZyhDkbjZCFXJP+u0Xg9qpzX8PofN9HlTE4zUjJZuywphmA\n",
       "hskUzMJmEuq0lOx9VG4gIyiayjPjSogwp4JgjgFLwBU9CxQ+oh+kdwVzhHwOYz8yWlvp7ZRsrYJ5\n",
       "P8XPPgYmmKA2FwQzT717CvCWOvc17PdV9XoWHWFuJjvC/EPe6YfQyUoWfCYqb1EebidFmENUjzBn\n",
       "I8Gs5baSqSCYwcNf3YRthzrYq4KZNyXbj4xWlb4k929yaN154OocLe/2B7dPff9tmE4SzKnehxkX\n",
       "zDyPlRuh/msxjLJ2D1ClrRcdYd5KtmCuBvLOOpOWkg255aLSskNI4DtBMKukZF0JVYYFWB9mkjHg\n",
       "BpqTlm2CYLq+DpnwH/IP+ukHtlCxL8n1AV9C7X8fVFfr4TnAM+v8b6N0gGC66cB0ZMCnch/mLHR+\n",
       "Id+gn0YEcxY63y2PMNeTKpiuD0VHeb3OrD7M+DInmcZpCLhTy6ZNopyXan2YM1AjChHmJn1OS0+7\n",
       "ElPqthLG0L1aXSKYnAD8T4HbqxM3nfz1I0SYlTz90O6X+PXrvR97Ls0ZSJOHJgqmmwMuj+0aRPdP\n",
       "P0yhEabb3c/33QLcMLivNbiRZB9mtbKP+Fc9hAiz5YKZFWEuQFNJNSqY91OTYLp5wNUZPw6hTvth\n",
       "4M/g1uTfbuGEUbJZDSRcxNCHuQVNTJBmvPqRuE6VPsy5TAzxbxR3aOKLcN6LzEIsI8fw9RYQPPg+\n",
       "79BWYoDqKdmQGg/XYaoIZl5n6v3Ai3KsFwRzC8WmZH8AHFjg9iqxBHhO/eNN3ACyYQ/7L/JGmI0I\n",
       "Zsv7MENKNq2hhEdo5T2grEE/91DbvZhLgYX+AiQZQjcfDyMD1q5GCtGgn6wIM1zEkJLdQnZH+BDR\n",
       "kPRZWid4lq6Uwzh2EW46OsbriGZfqXdbfcBZib63ZkSYC4GVBW6vXkaQgXiI6kKRIyXbE4KZ1zGq\n",
       "JyW70L+qMYi6igoUTDcTdYnFzqt7I7i9i9n+JMZQ2TNstduvipj6Uasl5z83O8JsW0o2K8Jc5Jd1\n",
       "RphuGroA91JbSjbsd5624a6MiecwSsku9u+bMTw8L9UG/cQjzPgAjCzBfAg1ugHkOYVz9kz0CLZe\n",
       "YRRV8iKG9wfBnRf7rlmCORdcuwcSzUaO1YPkE8xqKdmkYNZrvObRHRHmBtS28grmGPmcumakZHdE\n",
       "tj7+7N9jgXpvw6jGWGIZwx0DnEfle6fjA36gpj7M1G6qGX6/8e+mg3uF/9C2QT8bgFJKrj5cqByC\n",
       "6QbQyYkXfAYSgE3kEkw3HdxRRII5H1287YkaY0jJhgaeMLhucety/lX7MGejaLgWwdzkl3GDuIpC\n",
       "UpcdQzBcG2g4wpy4/vFp9maj1HfRgglwCLgXF7jdWplNFGFWiKzcAuDfqVznIDp/IXpuJMKcl5EV\n",
       "ajZ57kntQ8dWa4Q5l3xO3QyilGxRg3529cu4IzKPcuewSCoIJp8GbqPytILx/kvIH2H2kR7V7u33\n",
       "G2cx8N8+S1VkStblvWgzUeO7k8kj5Bb5wuRpRLNQepJYo5mJBCCnYLID8CMioZ5HZAjDSN0w6Cec\n",
       "g2Rl/hrwpOxduOeD+5ccZamC60P5+kpT481GUzeFPszg7VcSzPgrGIIF5EsLdQtzkeG6h5oizNR0\n",
       "0LzEEnTeb6chwXTzwC2PfbEQXevXk69Pq1kEwawWYe4L/BtRSraJfZhuOjJ8t1EeDbWKPBGmr3Ol\n",
       "R6lNMGuNMIvsw9wVjeWIn9P5lDuHDeL6YvN/Zwim60f14+dU7sevN8KML+MsIAqeAguR7Z9LwSnZ\n",
       "Md/3Va3vMIja7SmFWwxcxaSDcUeAS6Zf0sLjuGCmlMPNA3dy7Iul/r/Bs5pPJOLL/DJEmIFkZV4W\n",
       "WzeN49F8h40yB6XGKqVgZqOpuMKtIpX6MIPjkiaY8fPQC4S+pBoiTLcS+HvKD1kR5q00FmGeCrwj\n",
       "9nkh8DfgEFrivLiBjPlOR1C9qxJhsghYh1L51Qb9OBrrw5yDjNbNtCctm0cw5xPZjWZEmE3ow2RX\n",
       "4EwmzqkrUXyEuQ/wTf8+K8JcgKa7u5rKEWb8lhKYFBy4/TVVaBkjqH6mXY+F2qaLX98FsWWho2RH\n",
       "0ZRsZ1dZbwgJ2h1MNgSLgCuZ3IjeiSZajxO8i6RgVkrJPh54a+xziCIP8P+bR3SCkhEmfl/JyryY\n",
       "yo127yq/4x2Nan05y5AYVkrBhP6mu/0+K41YjKdkH6TcIC7QK+/oNTcP3PkFzq5UNCEl60dP50qh\n",
       "76jXJBEJxiMumCHaaUQwl1PueC0E/urfL2rBuf0i8OyU7+Mp2ZghcbuB+3+x9RYBf4bSF6g+6Ocm\n",
       "dKwPUJ9gzkV1/FY6VzAXENmNnKNk3XR0PvIKZtER5vbIfocIc9jvp0jBXKbtu2lkC+YiFFBdQ+UI\n",
       "My0lG7d1z2Lyg89H0G2NWRFmfAmRRsUFs5A+zDFgDbBPlfuIQmRTKcJMNqJtkUGJkyWYm5D4pZVh\n",
       "ObBCj3ly7yISxTVoUt14+iEeYd6LLsYllFVm1+/Xz2i0bgwYz/59gmOBH8f+l2ZEliLBfJjKghkG\n",
       "tywlXx9mVoRZ4R45Ny3xqKyjkLPUrL6ORgnpMadlrihzG9T4kpF2uP7JlGyjEeZSJuqjG/L7vhS4\n",
       "HD3CqQmDf9wp4Mb9hzWkz4IUT8nGI8yDgXhXQzByUD0lex26fexGsuvYk/3tXmnMQw7QejpXMOuJ\n",
       "MEfRta510E8BfZiuhOzj+ZR3UcGETXTzwe3ZYL/xUlQ35qHj3ExlwawWYVZKyQZ7fwC4E2ITu9xC\n",
       "umAGcYzrUjLCLOy2kjHUkT8d2KPCevGUbDLCHEcGItaI3Ax0klck1g0nK+69VevDXI5StccCb0Ci\n",
       "uNH/dilRhLmecsEMgpIQzInyZ/Wj7IUuTrVGvZaJ0WBuLXBuyjrLfLlSGoh7tq/Ewbj9HVW0aoIZ\n",
       "zlVaH+ajpKYC3ULkXPwp9uWxftmMaedy4N6TknqJs4jI20/px3RHgPtE4j+hoSbT7fOQONaQknWl\n",
       "HBFiTDBZgDIwvwJezSTn0pXA7Zyxr2ng/pBzko1XA+Ge0pWk38YST8nGhWKc8oFhi4kEs1pK9lr/\n",
       "/kbKDJfbN3Y70weAIytsYwNqW0m70AryCmY8wswjmHNRmnlscn1xA4lUYXzQTxER5nxkC/w1cQOo\n",
       "rofMG8DH0MjVlzewn9CeliLNuJ5swbwW2LZC26mSkmW5f50AvAkJ3mZUd9KuRxDHhSnfLaD4PkxW\n",
       "oov4uArrBQG6g3IjsAMSgvMp9zpXIW/UR5juA+CeQeUIs5JgAhzu/7Mv8Ef/3aVEfXcXU56SDaNI\n",
       "k4K5GAlLliDuhYze4ioGcw/tzw0Cu6BUYPIRQvEIM9ZA3HQ08GgvIsH8gf+x2n2YlSLMq9G9qfPA\n",
       "HRL73/5oirnlfhj2NOBoJKBtEExXAp6K+vqyWIMyFzCpH9PNAr4CPC3xn238MjlN4zzUbZAmmFl9\n",
       "fN8Enqnh6e6Jfr+LEhFUuBe4X0vuhNLtUDqTydmYxwF/ychErEDXqMoEG66Ertdqv8+lpAvmdsio\n",
       "JQf9rNJ/JqKNZIQZ70sq+dHoMFkw48fwI+DQWNliszK594L7kj/mIJhXVz/OppDnPswFRBFm3ttK\n",
       "5qJzuCll/ZcDH0+U4SEqCqYrgdtLddz9I+qKcH3grk/UvxXATVB6jMg2BzsQ6vqOwPeBDGctF0nB\n",
       "vJZMwSzdj85d1lSpeSLM5aguPR7V5Y3IRmZFmOspb2sLiYK7wvswVwK/prJgZkWYTwV+htKf8YPZ\n",
       "FnlqQeyOQemgeD45FL7KoB9WoEp2uP8cojmHoqYwSvZiJkeY/4e8q6RgXk52hLk38Adfnkpplj3R\n",
       "xV6FjEQ/8uDjhD7MZIS5jf+8C5Fg/hqdlzyjZON9mEPeAA6jhrIACcl/x/63E3ARMqLbocj4QeA3\n",
       "tCfCnOnLsGuFdbYnEsxkhPlU4DLUZxs3hNsgBykZYc7126olJbsf8AzgzUQjXj8C/MRHhOHetw1+\n",
       "uRAZrUBSMHdF1y9t9PWOiWUWwQBshwxSifRobSdUx5ODflYhuxDa5SLUjwuTDddq4NcxsbvOf38D\n",
       "E4Lp5vht7YXOwRDlYvhc1E5eQiSYV9HcR7ZlUUBK1q1NcXjig9OS/Zh7oeMP7IQct0oR5u7IZq1F\n",
       "dSbcT7kPun7xTKAXTEDXcXtUx68GRn0d3R44XUu3K7jTwZ2asW/8OskngyxDUfRSbbeSYAJqg7uC\n",
       "+w24NdqeC/W0wm0lrh/Zr7noXF0HnIQEcyMTGuO2Bfcm//+Ffn8Lfbs8wG/jMmSPS8heVu2Tzhth\n",
       "rgB+CDyhwnrxQT9xI3A88NOoMBODLbYBztG23SC68LtTfx/m+X55vT+u3/n3txFFmBch7zlM0/cg\n",
       "lF6IGmj84i5G4rogJSIEVdALqDg4wY347fzRH+v2SMCThmAp8n6Sg36CtxcTzNIm4KXAP5gUYbpj\n",
       "wO1H9ijZ0D8UHJp9tO2JfulgQIOxehw6p/+kPYK5K5HDkIIroXKGqQ+TI2Ufh0Z3Xk35Od8G+D3p\n",
       "KdmrmBxh3g7MmFwP3Cy/jRPRdTjKl+mJ6Lq/wW9rI2rUS5FQ3BDbSFIwd0FOUez+TBe88HCjdzXB\n",
       "XI3ayWrUbi8FVpZnQlyJ6HrHIkxXQgb3aqK0bIUIkzBTzF6UR5g3EUWYoR7vg45/MxPXwy1HBu6T\n",
       "yPiHQT9Xad3U0b3NpIhBP9+m3BGFyBFIu/1pN9QOw7HugWxPpT7Mg/xvz/OffXZjIg2/W2zduGB+\n",
       "FPgGum63oWu/Gtml89B1eas/phMz9g1ytl+XuD7LgL+QK8IEf4wHoyDncPRorif73ypFmIvR+b8N\n",
       "tYnPoEFtQTCDA3MC8F4fbS9AgrkIZR/PQkHgpShQu9CPg6iaMaglJfsrlAMfz1gvPujHR5huITJ8\n",
       "v/P3LT0UK9C2aLTgDBRW34kEM3gXVVKybg9w/+4b+Qp0wUHiDJpfdAfUAMNJu9Zv48l+++HibdS+\n",
       "XPyi3IjuB/URhzsQ3HY+WhlHxiZDMN12wFfRBfmnP9btUXozKZiJCNP1gfsGmvfxKsojTKD0TSjd\n",
       "yeSU7AeBX6IKEZ+4IAhmaOh3+Pd7IwO4u/9/UjDXouvTLsFci5yNkFpMsgh4GEob/OekMfLpTa5g\n",
       "QmTcbFR/LiR/hJnWzweq15eihv8VVJ+egurzkSjV9mrkDN2CDMnhSMQDt6O+nINi2/wMSvWP+/7b\n",
       "G3072hE5aZVmSAFFlmeja7bKl3EL5edmEfCor0c+wnQvRMZ+DnKUVvmsxAgy9jB50M8+ftuHobYa\n",
       "nIF4SnYXdB329mX6HYpkSsjwn+v3t1bfcwuUHkDXMzkgsNnUGGGW/Fyn4V51t9T/fqiPYgLxCPMY\n",
       "Jh507PrQ9XyIKPO0Oxqr4CNMtxDcKYkyHITq5bNRpisumL8matNQJpil7wKnIYfsLv96Aqr3YcDM\n",
       "UcDbgP18NLYW3PGJ/R+C6lNcmGsVzIuAcFz/htpaaAeV+jCXo0j2ZmTPvovsazIlewBqk89G9u5S\n",
       "pEuHoMh9T//dYlT/oKCU7CrUSO5G9/JkddgHUYtHmMfpP6FilT3Rejc0WupmFIWeibzPHakqmK4E\n",
       "fBZ4F0rpOORBPIpEYwOUNkNpK6oUi5Cw3Yn6AT8HnB7NVVh6DKWM3+zTAouRB3Ob/uf6UH/VR5EH\n",
       "eKnfdlaE+W5/rK9A0cW2yLv2aY8ykoN+jkUpuVf4siYEc4KtwAfBPQncKlSRXomGW8fFMhj70NDv\n",
       "9PvcFY3gXevP545MFsy/0D7BfBxqVDeR3p8VT8dCWYTp+lCDuIAyweQwVE/8oBJ3aGzARUhTzfd9\n",
       "RMtRvbmFibroTkAz34Dq7z9QKvZj6Fp9HjgHStcDJ6MBCev9ayUybGfFynw7us7/h0Yn7+K3+X9o\n",
       "0oy3I0P7dGRYf0pZhOlWgjuH8oFRq4kMwJ5IvG6kPC0bnCOIUrIvQ8blZlRnx4n6XB/z627VeXJv\n",
       "8tHFPsgAvxbV7bv9ev6eYdfnj+k01E72IRpUNh/1kZ/rz/s85HAEh7cdadkUwXRLwJ0Vu+7xCBPK\n",
       "jezBKGv2UdQWAyHC3AC8D/ifWH/uetTOdvNZiyWozYWU7OuBL4HbWcI14Wh8CdnHT6FZo76O2syn\n",
       "yY4wQW1+BF2ru5kQzNJj6Do8jET4PnT+PwJ8LurTdoPIKf8+ak/4bFoJtbXl/nxcz+RpUpMR5mLU\n",
       "5bMPqgdxwUyJMN3L/XkNgnkNlNYjBziWknUl1N//FuB1KJK+iUgwQ92/zC//7JchC5o5LiXPRNz7\n",
       "aGclB+4M4GPgPg68xx/0o6iy9yPBuxPNlXkkMvzxRxndh1JXs5GI/Ao11OegCGkJughfRcb9OeAu\n",
       "ReH15UgInuQP+hEUKf7Mn7zrkVdzHqqUntIGX+6n+bJ90+/z9MRxbkAn9yl+P79HgvhMv59bkddy\n",
       "L7pA+O8OVk6ffVCFOwM5CttC6R7l0nmz/9/fgKeDewFRX+Q8VIkeQw3kdf6cvRCJ/2tQ1JAmmCtR\n",
       "w/m+jqf0LZ86/CdKNUxDBnE3f33u9OfprSgaWOfP7V0qT+lecFeh6Gi1P877fRm+QWs5EKXqFgJv\n",
       "BPdt1IAf9mU/kvIn0WwADgJ3BGq06/3xXAG80H//QTTN2y3+/zuhdOtHkAFfj67p21Aq8ct+Gw8g\n",
       "w/Uy4EJwP0Hn95dQuli7d+9E1/K3vjzrUIMMgvlc4Hof1QVuR07Sb5FhmoPE7XRk+O7x+3wjutav\n",
       "V/ndccj4vAe1oe+BextqB/uhOv5P5Hx9wW/zZHDnoXp3HJHROA8Z0c2o22WuysmziFL4gUd8Od6M\n",
       "2ureqF09G/iKHGN3P9G9scchg/we5CicghyMq4D3Akfo2EqPgbtAZSiF/V1F9Wi6aBbLAWUOipSu\n",
       "QH2r2yLR+Lz/Pj7hyf3A0eBuR7bibNRW3uOv02YU8f0JnZdL/f8+4peXoD7L4/y2L4fSI+C2ILE7\n",
       "EM2Mcx6qK6cj+/Q9VB+CvdkT1duNKMX7ZGRPdkf34gbOQbbobn8chwDf8r9dBVzmbf15qFthB38e\n",
       "3gXuYl+eK1FdeS+4m5F9uRm1q91RHbsbWAbu7cgJ3ILaZbi+lyEb9iVkV7+GAoAXIWf9u7EyP4Im\n",
       "AFmB6v3nke5s8b+f7n/biGzESciefhHV48dQG9wNOUUvAb5OZD+8YJYeAbeVCrPJVRsSvw55TYZx\n",
       "NpVHrBbJOqzeGaJV9W4dVueMiFbaO8MwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMwDMMw\n",
       "DMMwDMMwDMMwDMMwDMMwDMMwDMMwDMPIi80la+TF5pI12oHNJWu0g7rqnSu+HEaX0sq6YPXOCLSq\n",
       "LlidM+Kk1odWP9G8AdxicLu0uxSGYRjG1KSLBJMT0YNqDaOFuNWVHihrGMbUoZsEs598D7w2jCL5\n",
       "BbCm3YUwjN7BfRRc5kOaO5luEsw+JJqG0UpmoCfdG4ZRDC8A5rW7EPXQTYJpEabRDqzeGUax9NOl\n",
       "wU+3CWZXnmSjq7HMhmEUS9fa8m4SzD7M0zdaT9c2bsPoULrWlneTYJrhMtqBpWQNo1i61pZ3m2Ca\n",
       "4TJScM8F954mbdxSsoZRGG46mmGuK9tUtwlmV55ko+lsDyxp0rat3hlGcYS2lDP4cYvADTetNDXS\n",
       "TYLZtXlvo+ksoCmi5krAdKzeGUZRhLaUt71+GHhGk8pSM91kCMzTN7JYADzShO3W2rgNw6hMf2JZ\n",
       "jXlAx0xy0E0RpgmmkUWTIsxa00fdhnsmuJe0uxTGlKLWNjWHDrL73WQILCVrZLEAuK8J263VG+42\n",
       "dgDmt7sQxpSi1qxNRwmmRZhGL9CsCLPXU7ID9O6xGZ1JrU7oKKqnHUG3CaZFmEYCNw31c1hKtnYG\n",
       "6SBjZEwJujol222C2TEnzugYxtBI1mYY/l5PyZpgGq2mhqyNmwbMpoPqaDcJpvVhGmks8MtmRpi9\n",
       "KpiWkjVaTS1taoQOm+SgmwTTIkwjjYXAVprbh9mrjppFmEarqSUlOyfxn7bTbYLZq4bLqJ8FwHos\n",
       "wqyHAUwwjdZSy0C6IJgdU0e7STBtTk8jjVYIZq86aoNYmzJaSy1O6GgN67aEbhJMizCNNGYDd9Mc\n",
       "L7TXbyuxlKzRaupJyXZMHe02wexVw2XUzyDwAJaSrQdLyRqtppY2ZX2YDeAjTFdqd0GMjqIVgtmr\n",
       "mY1YStZNA9erx2l0DrVkbUaBDTnXbQndJJjhRE9vaymMTqOZgtnrKdl4hHkS8N9tLIsxNag1JXsX\n",
       "HZQF6SbB7HVv36iPQeB+LCVbD/E+zLn+ZRjNpNaU7J05120JBQumGyp2e2X0uvEy6iNEmM2c6adX\n",
       "nbT4KNkZ/mUYzaTWlGyvCqYrATeDa1b43Os3kRv1MYClZOslnpIdpKJguvng3teCMhm9TS1O6Gx6\n",
       "OCU7A83r2ay0jkWYRho26Kd+4inZahHmGtTPaRiNUIsdn4ke29cxNr9owQQ9OaIZ9ANb6F3jZdTH\n",
       "ILAJcOCKHhDW605afC7ZaoI5igyYYTRCLVmbmcBGejTCDI2pmRHmJnrXeBn1MQg8THPmk+3z2+7V\n",
       "OhePMKukZBmr8rth5KEfcOQLfIJgdkz7a4ZgNivC7MME05hMXDAb9ETdixL3+QYnrVezGrWkZEer\n",
       "/G4YeegHHqK2CLNjbH63pWR72XgZ9VFQhOmmAV8G4iO9ez2rEU/JDvpXFpaSNYqgj/yCOYMpkJJt\n",
       "gv6CqO4AACAASURBVGC6EhZhGukUlZINDl9SMPM27i7DlZAh6vPOQp4Ic7rNBmQ0SC2BT08P+mlm\n",
       "H+Z04FFkFK3Btgw3A9wP2l2KKgTB3EJjDWsosYTISevFOjeA2lNwNKr1YYYnR1ha1miEWrI2M9Gk\n",
       "JD0ZYTYzJdtPeeM2WsN84Ph2F6IKRUWYMxNL6OiUrNupwQ0MUO5o5IkwwdKyMdznwI21uxRdhvVh\n",
       "epo56CcI5iP0prefE/dpcGtauMMRoB9cx1TYFGoc9ONGZegmkRZhNqHf3G0D7oQCNnQWuBUN/H8Q\n",
       "ieUWdN68YCYfbuD6fJ0LwmARZsTTgeXtLkSXUUvWZgY9npK9i+YJ5iNYhPlE4Akt3F94vM5wC/dZ\n",
       "K7VGmMuBE1O+r5SSLbLOHQy8qIDtjKCZUOolRJjB0RgESkw+1v2A07AIM405wKzGNuHmgVtZSGm6\n",
       "g5xZG1dCgtmsaS/rouiU7C00pw+zD4swQY1zJ3CHKlKqhjsO3LMb2F8vCuYw6UYuKyVb9KCfsYz9\n",
       "14CbhoQ9x3bcCnBp6yX7fkPkmIwgR9AsP/P8+hZhAurfZ4DG28a/Am9pvDxdQ942NYja9OYc67aM\n",
       "oiPMm+mqPsymThbfDLxg8hXgoBzr7wcc0MD+RvyyGwQz76CfWcCwF504LUrJMkrDgjlRxjzX5T+B\n",
       "Z6R8n0zJDsa+jzPbfzcO3EZLBNMdAK6VmZR6KMqZHCFqZ1OBvCnZmX49b/M74znIRQvmLcC8Jhxc\n",
       "SMkWHWH+HdzSArfXbGahlN425EvHzc65XhbBKHSyY1FrhBnEKnlMrUrJjtHYNYHoGPII7yjRdYyT\n",
       "TMlmRZhhHyUkmK1IyT4NeGoL9tMIRQlmo22028g7kM4LZukx4DE65DnIRadk70EHl9PAumk5xTWk\n",
       "ZAuMMF0JWAksKGZ7Vfe3qLGnPbjp6ByHxpVXMBuJZjo8wpy4l3ALtQtm8rwEIWj2fZhFRJjheuTZ\n",
       "TpZBjkeYISWblnIN+3gIjVjMEWG6P4JrJGoao/OjrtAl0ui1nFXANrqJvG1qBhJWaMnYFbdHnrWK\n",
       "jjA3oVFNaR5tGt8AjsqxXjNGyc7x283RF1gI2wPPauD/w6gD/J/IMWllhNmhgskA8Ij3QvNOjTec\n",
       "WAaCUKbdVlJkVqPICDPPdcmqA/HbSkJK9j4mC+JsJJT3onNRJcJ0JWAtsDBH2bKYS+cLpkWY9VFL\n",
       "Snazf1/AtJeVcNOAv4Grei1zCOakvp4sgkdQi2Au869qNKMPc75ftkow55D/vKQxCwnmG5Cj0QrB\n",
       "7PAIcyIdC41HmK1KyfoIs6Fui6IizGRKNk0wZwEXIsHcnPJ7khnofDVS17shwixKMC3CTCcEYND4\n",
       "pCTVGEEp36pakEcM8/ZZBI+gFsEcJZ9g9RHdVlKUtx9SsS0WzLoNpRfM0i+AG7E+TIiiJKht0E98\n",
       "GaiUki06wpxGY32BRUSYyZTsIBLFtAjzdOC15BPMOYllPUwlwZxqEWberE1cMJudkh1NLDPJI5h5\n",
       "vZ96UrJ5BTOeki3qxLVaMEcpH1xRKyHCBE0X1SrBvIepE2Fuofkz/RTR91VLhJk1CjOekp2JDNj9\n",
       "pEeYd0DpDHKlZKeUYD6CRZi1kjdrE+/DDN0GzSJ3nS1SMGcQRZh5K3utgtntEWZ8WSvtEMwRYD29\n",
       "KZhpfZh305pRsnfR2HXJOUrWhcixWkp2ln+/ifTbSkK96/EIs6bszyhwK42LnW+jnXHbRAtIpGTd\n",
       "9zJmrEr2YU71CNNNQ40ir2CG20qK7MPcknP/RVDBkOQaUZgUzDz/KSLCvJXuEcy8g34c6SnZpGAW\n",
       "POjHDaAy3pay/+S6lYRpGB1vtetSaUR1GF28xf++mXRBjNe7TSm/J2lQMF2YDKAdacpauh7mUIwz\n",
       "OQvZ4S6YEMINgptffb2KJNvUwcDqlPWSKdmeizBrTcmOoHu78qwbv62kyAjzWtoumG42cKO/baQS\n",
       "9UaYfarodTFC2wQzl8ddb4R5F+kp2bto7kw/o6ifsMr1c0uAK/z7x6es4NOkVdtmJcGMT/gw4t9n\n",
       "Ceb9/v1mqqdkQ3uq0K7dz8AdnPHjGDrn7UjJ1jJLWVGCORsFAt3Qj/kM4PMNbiPWzeGmocAlbUR1\n",
       "Kwf9tCXCjKdk84hghUK6l4B7XuyLZvVh/rN8/+4Uze1YFK4Ue35g1vEuRedrcZWN1SiYbgBd33ur\n",
       "r5tJiDDbMegnpGw+CO7IjHXiglnLoJ/bSRfMtAjzYWBaDaPFKxEXzErtaiWwCtxy4A8pztQwOoZq\n",
       "xnqE7C6SMOhnK5UjzHpTshnGx80FnoRuswrfHQ5uB/9hDAnRYBsm/a+l7c9BE7U0IJiuhM7v7XSH\n",
       "YC4n310NlYg/QNo/YzVVMIOeQPNTsm2NMDfm2TE6WY+R3rD2B+KedXzy9aIizPnA1Yn9vzWx30Y5\n",
       "GPiZfz8HnZ/kuQlCuarKtmqNMGf79TLWdavAvSDx3Qi418S+KMqLrodgmA8E9gT3QnCHJNapN8K8\n",
       "jcnHFB4ekOzDLDKzMYYGUT1A5eu3xC/3It2gZIl+ktnIqFe7D7NaSjZEmCmDfiZNHD4HHV+WDTgW\n",
       "HVPcQXw50WPkxpDjsjGj3M2kVsFcT2N9mIPoOb8bGtxODbhTsyd7d3N9xiuLxUR1s17iKdlQr6tF\n",
       "mM1OyY4ifWl5H2atEebNpBdyOeWPzYlPvt6kCNOV/D59B7QbLE8Luvl1zD27o3+BzsmNTD43oQJW\n",
       "e2JBXDDzGJO4YKZdw0OBVye+2xt4u966AXSu76S9grkSXZcTgMMS69QrmLVEmEXWu7wRZpiucZ/E\n",
       "50CIMPMIps8QTIqQ4ynZ2WSnZCtEmG4+cFUsiwKq3zeQbQOeAlxEueFdwUS7Yy5yKjbS+rRsLSnZ\n",
       "URqOMKs5tU3hleipR2m8l8k2Ic4SYHH17hLXDy7riTzxkedh4GUnpGRvog2jZGvpw5wDXE8+waxh\n",
       "4gLXB+6IHPtfQHmEOR8dQ2i4PwKOi63/aeDUHNuNswpY7lNq1QSzwQjTvR1c/LFV1RrjOLBdovKP\n",
       "o7mAZ6Pzch/wIG0TTNeHUkDLfdnGE+tUGPTjShkzdwwzMejGTQMXJiYPgpnsw8wZYbrV4KpNsziG\n",
       "BDNvhLnWL5OCGUQ/z6Cf+1C7TK47F4nSViRMm8meGi9r0M926BrE625WPQ/sAfyEbMEMUXg7BLOe\n",
       "CLORthGi92oOVEG4ErAtk9tRYA26plksRte7WiS2A/CFjJR6GHkeMiePki/CbHZK9gbaOEo2T0Uf\n",
       "RQ1rVnkfzUSklyaYeabG2xf4UWUvyA2gi38Z0UkKDTbsdw8igwXwOPSkkFoYR2VfTPZFWYwaXi0R\n",
       "Zug0j1eiI4FDwB0Ibk90DTZSJphu0PchgSZwH6HcSIzHlmuAa2irYLIENawVyCiPJ9apFGEeB/w8\n",
       "ZbshJTsLRXA/8I+/qpaSrdZgPwC8pMo6a9BAs5iBdAPRPJZuFbhfoeN+hCjCTPYb5Y0wR4gMcrJN\n",
       "7g78nckRZmyAmOtH5yD0JSUH/WwbO65ABcF001G9+z0TgukGgEVE7S4umG1OybpZ4P5vcnTu+pET\n",
       "czWNR5gPUN2BKor5qLzjGb+vJrqmaSxG9bLaeIs1qN2m7Sduy5egLF+WYIZ61+z7MEdR8NbyPsxa\n",
       "U7IbUGUZSXz/GDA/Jgi1PEB6N7+9SgK0PRKv27Wum4Ya7ENAeH7gcmRUADeGKtIOaRurwCpf7pX+\n",
       "uNJSVUuAP1Pmpbs3eUMSJyaYJcfkRrYTsAvwRuD9pEeY/wb8r38/js5z3KMcjy13AS5F56Qdg35m\n",
       "oHNyCzq2ESoLZjJtsxbYP+M8hj7Mo/13OxONkk2mZPPezrSbf8Vwh4GLP3VjV+ASdO1Cu3oyymaA\n",
       "Hsd2NDI4lyLDdAs1R5huf/S81DAP7EZgQcLw7wlcTOU+zDC7lPOfk78H4xq/LaBShLkCpfivJYow\n",
       "lyEHsBMizGRK9nB0PbZJfL8adSflGanscU8Dt2/iyyZFmJm3qYXrNZ7yn35kpyoJ5hIUZFQTzO0T\n",
       "yzhJwbyU7EE/BUaYbia4Z2b82IwI0+0A7osV1quQkk29ZSL059ybWH85anB3EDWqWh4gvatf7lZl\n",
       "nUug9AiKoGajBnu+X26PKrEXTPbyZaoimJP6iVYBf0WVMDxgO23QT0ww3TLgQ0wefBSPMKE8cpyH\n",
       "DM1uyOgeghp1UjD3Bw71t5mMAxdQ3kDG0e0M40SC2c4IcyU6N0OooS5KCGClCHN3//ve0VcTD16+\n",
       "E53Po1F0vysNpWTdDCRyyTr3DuAVsc+7Av9A12RvcC9GGZHtfOS/J7rVan90bQD+QsUIMzWT8lXg\n",
       "uZQ7Td8GfPt1IbV2E5VHySbrXHLQz7bAlTp2d6gvS4pgusNlsFiNIopbifrCViDhHvX1cgfk7XdC\n",
       "SvZYwKH2Hyc4Pv7hxtVuCXPTgP9iokvHrdKrGRGmGwJuApeWDdsWnevxlN9WobawkNTb0NwQqjOX\n",
       "U33gzxpkN9ak/Baf5nQpsjELNBCpzH4WPejnScD/ph9bZjAziVoizFOAU31jSyPjPkzXhwYGvDXR\n",
       "uOOCGVf25ch7u5nIUAyT/xFOu6FK4Y2X2xXcFQmvazdU4UHe7BrUcP/k978jcCZq1LNRauxnKmeW\n",
       "9+ZeB3w99nkQpUD+5Pd3P5OdA4gizNXgPg6E/teDwe0Va4wVBJMdkYEdRJXxB8BLmSyY+/ltHKxj\n",
       "42xkrAfA7YI86XV0lmBeg8ThGmRo46n6aoL5W8ofoD1ENJJ7JRKoL6LrkzZxQd6U7I7AdcA2UYN0\n",
       "y5Gh3c8PghhEBusKdA2OBj6CRgFvRin/vZCI9VEumGkR5j3ImC9NDE5bjhy+wygXzJ2A4yRs7AFc\n",
       "5CPHSoN+wv8Dyd+3Ac4Ang6chaL6hGC62cAvgOegdnY1lDajzMVc1O5uQMZ6Bar/v6Gtgunmgvs6\n",
       "Grn7Q8qcLiByuB06jlj7cHNSHOfD/DoH+2v1bSSg1Qbm1cPR6LwdEyvTCt9Xvytq3ytSRH474CpU\n",
       "/9LGUyxGmRnv7FRkDbqGaxRVu58SDZiMO6EhrT2E6nv8VsIaB/2U3cKXxtGo7vpAxC0Gd6535IqO\n",
       "MN00VOEvRo2u5NOUobDhBG5lcoR5LKoQz/fbCMQF83DvcUG5YC73FexfgF8zEWG6leCO8eXoV4Tl\n",
       "XgnuaFQpvgPs5r32r/ryPDe27+DpA7wb+CkyrJcjw3EAEovLkBF4BnAOurhrfKrNG2K3Cxpk9Abg\n",
       "BHCL/HZXoIjyOmS870s5NxClOU4BngB8EBn6f0HRabj1I00wR8B9BHiNL/ulSKA/gdKMMcF0C5CA\n",
       "fwX1td2GjPd2wOuRaC9B/UvjtF8w16KI5EZUF65nQpQmyBj040ZQo/46cExMUMIj0h5Ajfo0lFVI\n",
       "RJgT6wcHJCMl6w4Gdwoacfw3lGoMnv1LkeNyPRLCHVT+0sNEztM1SDC/gyLNPX2ZHWprUBZhunFf\n",
       "tvhxXIvqSuBQ4Dy/nENUBy5DIyA/iDIQF/n1w8QFQcT28c4TpEeYXjDdCHIAzvDluxp4EdG9u/0+\n",
       "G3CC/99ziCJM/Dq/BF6HjPRNTNiK0vW0NyX7OiQavwS+RXaECWXtww0ju/KJaFVXAt6E7Mx84IVo\n",
       "wOERyNalRJjuX9Su3QngfgvuRHAXke8e8ach++G7G9xiZEfeibprLkf1/Nhoe65EdG2uBb4M7oOJ\n",
       "7QbBvI18EeYv0aMbf4nsSaij8ZTsUpRJvBPV+ef78sxA7f9m/5+Ew+peD+7fE/t8N7AuPdp3JeRA\n",
       "/JxopP2LkZ1/NjVEmHnuLTsUNbY7kVf0RuBE4Cjvhd2Ewt0Peo9rs47dvQuNgDoB+CSqYD8Ftz06\n",
       "+Cf4A7gXXcy3gPsxOrnnEYnsgaiR/hKJylpk1MNN5XNQ39PFREOiz0T3VB6FKvwvgM/6ytPn9+1P\n",
       "eOmr/gJ91pfjJuRZvgkZ65+jCvcj4Jnotosgll8DTkYX/1K//ufBXc6EgeQGZAxv8ce6M0ptr/fn\n",
       "Z0TlL30X3B2osj8XeezfBt4LbkckurfErstG4AvI4O0CvAsJ8rVQugjcL/znh1Bl2QYZ368Cf0AN\n",
       "53yU/p3mz+9+yMs8iChlN5v2CGa4H/QTqJLf4Mvyv+AuBc5FfUzn+/W2APuCezvRgK7T/Ha+Bu4m\n",
       "ZKgeJBKB/0L96GuJRGgr8E5wq9G5u8V/9zFwD6PofA6qgzsAf0QR1ttRxf8wuGtQvV8LvAV4GxoE\n",
       "EUTwbOAkFNmOonP/PiT4P0F9zTf7/V4MbOuv51GoPi7yx7ERZT7+U2IKSHS+gdrCMb58G5HD+UMd\n",
       "Gy9E1zqct7moLf2YiSyD+xqKeq+IXZPNKDr5BVH/7zrkLDzf7ys8V/NeJM5HI2fyv5BAvNX/71Yk\n",
       "IGuQk7AU3fLwW/97OwRzB3BfQqLzOChdq+iMJ4D7ChOOAAeh8wiqM28EtwFlov4KHAHuJ/79SnR+\n",
       "v4jOxaeApwIvQ/ef/hrZuqf4unsgugYP+d8vBr6P6shv0KCw7X0ZfofE/FfIBi5AfeIHAOd7G3w0\n",
       "cpI/jGzU5ciJ+56Ox30L+FdfziBCxwHj3i7uixyny/zx3wac4oORG9A4iDjTUJ1eh+zTvyER/j64\n",
       "D6G2EyLMcaQrVyE79B1wHyBy1s/x29wCnOivxWxf3kd9cPIgajcvRPb2K+CCUxYYRzb6c8BnwG2H\n",
       "2tJbkJ0fQ+18BrhPAG9Vz8hkqk0/tg4ZCMM4G0UmrWAdVu8M0ap6tw6rc0ZEK+2dYRiGYRiGYRiG\n",
       "YRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYRiGYeTF5pI18mJz\n",
       "yRrtwOaSNdpBXfXOVV/FmCK0si5Yves43CJwn2nHjntsP0Z3kFof8jwP0zAMYynRswQNY0pigtmV\n",
       "uGeDq/YQV8MokgGqPvXeMHqbPA+QNjqPl6KH9N7a7oIYU4YBzF4YUxyLMLuTmZjxMlpLPxZhGlMc\n",
       "E8zuZCZmvIzWYhGmMeUxwexOLMI0Wo31YRo9jjsL3GClNUwwu5MhzHgZraUfc9KM3uZAZFszMcH8\n",
       "/+2de4wd113HP9frXXsfd2vHayexvY6b1Gs3NgmkcWgSVSDaiD5C3Qr6iCISgaImkBLFAQpIRQVU\n",
       "QFQFUVpQq6I2RQWpacsj6TvFOBQUkoaqJQ81DRSbuE3dxHH8jB03/vHH75ydubMzd87cx9w7c38f\n",
       "aTW7d87OzD1z5vc93985M1NNLCVrlI2lZI0aIw0CxulNMKuJpWSNsrFJP0adGXNLE8x6IWPACix4\n",
       "GeXiHKbkPU7TMKrIhFu2NSImmNVjpVuaYBpl4gPKWNtShlFNxhPLVEwwhwYJFcBJt7SUrNEl8laQ\n",
       "WwIL+/Zp7c6oIyaY1UHGgAOB6S4vmOYwjW7ZAmwLLOsdprU7o44EtW8TzOFgAlhHWLrLT3u2nr7R\n",
       "LUUm8gSN8RhGRTGHWSEmEst2mMM0esUEYW0OAgPK6CA/D2Kdh/pgglkhigQjE0yjVxQRTHOYrXwI\n",
       "mB/0QRg9w1KyFaKIw7SUrNErLCXbORPo7V1GPTCHWSEsJWsMAkvJdo4JZr0wwawQnaRkradvdIs5\n",
       "zM4xwawXlpKtEOYwjUFgDrMjpIEJZt0wh1khitzjNgWcDSxrGO0wh9kZvg5COxvG8GOCWSH8SQp1\n",
       "mMewwGV0TyezZK2jFtWBOcz6YIJZIYqmZI9igcvoniIO0x6NF+GvUxPM+mBjmBWiaEr2KBa4jO6x\n",
       "+zA7wwSzfpjDrBBFU7LmMI1eYCnZzjDBrB8mmBXCUrLGICiakj2LOUwwwawj9j7MClGk926Tfoxe\n",
       "UdRhnsQ6amCCWUfMYVaIIilZP4ZpgcvolqIO8wTWUQMTzDpiglkhiqZkj2CBy+gec5idYYJZP2yW\n",
       "bIXoJCVrgcvolqIPLjiJddTABLOOmMOsEJaSNQZB0UfjmWAqJpj1wwSzQhR1mJaSNXqBpWQ7wwSz\n",
       "fkwAz2OCWQmKjmFaStboBS4lK42AspaSjehAMOV2kF2BZWdBdhY+qlohY4Htslf4DIoJZgWwBxcY\n",
       "g6DI03uCAsqI0InDvARYCCz7auAPCx1R/bgTeH14cbka5I4u9meCWSHs0XjGICjyyi5zmBGdCOYM\n",
       "eu2Glp3MLVVv1gLnFSi/A7iqi/0FDTmYYA4HE8CPMIdplIsftwlpd+YwIyaAUxQTzGnCBbNZoGxd\n",
       "mULrIQV5Ncg1iQ/bdEhkI8idOfszh1khxoHj5AYuaRAJpvX0jS6QBtqGQkVwBBxm8JjZBDqPoF+C\n",
       "OePKjzLTwGzGutcAScGcJrvONgFX5+zPBLNCTKBPUckLXH597mwuoxPkwzrZYCQYR7MaL5DfUVsG\n",
       "jKGuqsaCWWjGcL8F0xxmtmCmiWO7+p1xP+3wT7IywawAXjDzLthJtBf0I0oRTJnv/z6GBVkO3Exm\n",
       "Gqh2TKBiGSCYjLtyZ6h3Ry103LATwSw6hllTwZRfc9daHtNkX4tpAtjOYbZb56nyGKbcCnLDoI+i\n",
       "RAJTskyi7vIMfe/pyzrgP/u7j6FiJrGsO14EXyBfBCfQNldCuxsooSLVb4dZwTFMWQ3ynoCC7wPW\n",
       "BZTrpcN05dum3Cudkr0Y2DbogyiR0JRsXDD73dNfDZxT8r1Qg6SZWNaduAjmddS8Gy0pszEwhkUw\n",
       "3SxZGdb4nMZFwC+3LyLjwEqyhTBOm0k/mQ6zXUp2mdt3FpVOyTYZncAF4SnZKaKUbL97+k103Kpd\n",
       "I6sT5jDzy9bdYfYzJVtUMIsczzAwS74Q+pieU06Wod99FuRnQC5KFMhymO1SsrRZD9VOyQZVfp3w\n",
       "vZvQlOyLQL+fhDGbWNYdc5j5Zc1hKgUFU5a7skVSskWOpwPkBpCtPdygi9nSAJkG+VRKmUDBXOwo\n",
       "zAK3Aj+bWD/N0o6tG/dNjYnTsTJZBD0r2QRzOCiYkm0I/Q9eoyYg5jCz8SnZujvMfqVkfcAu6jDb\n",
       "lJcGSFJIinA98JNd/H+SJqonk8D5QNpjAEMF03/vptvWSxLr02678X+nufKZRJk0LCVbISYIm/Qz\n",
       "hTpM6H/wGjWHOWqCWcRhjjMaDrNfKdlOBPNsTvn1wN1dZJlWu59eEY8Xq4AVIMnhnFDBnEZvYZpF\n",
       "n/azKmV92hgmpNeZpWRrRlDvhui2Euj/xJ9Rc5ij9n07cZgljJ3LHSA39XcfmRRxmMcpJpiHC2x/\n",
       "BngmvbzMgLwPFZIJOn/AwSqWClE3xAXTC3FSkIs4zB8QCWaow5SUz6FYStYEswIUuQ/TO8x+B69R\n",
       "E5BRdJih92GuRHv8ZaRkBzlDvl8p2Rng6QLbbwI/JD34vxS4jeg5q2sCtwnIzSDnuz/67TBhqSAX\n",
       "EcxniVK8aQ4zeZvINHCI9DoOTclWVjAtJZtOXDD77TBHLSU7ah2EIinZtajjKSMlO0chEegpRVOy\n",
       "E4EpUR/MV+TfKiINNMAfJD34z+l2uNj9HVhX0gB+H7jC/d7GYcoukDeFbXeREMEMjSnTqIE4unQ7\n",
       "Mo7O3n+R1g7LNNopyXKYx2jfGR5USlZ+rrvZmzJG++cI1pHQlGxyDNNSsr1jBj0Ho+Iwi6Rk16LB\n",
       "qAyHuQYVhUFQxGGeIvyFCdNoh/h58kV5JXpOjmYcj6+by90yIZjyqoz4uxE4F3WmU+h5zHKYr0Wf\n",
       "11qEeLxo5zDPEOYwT6Ai9wKtKVkvpidYFEcZQ9twlsOcJtuxewbhMGUFcDd6gXVKE21cUxW7cbcb\n",
       "ij4aD/qfkp1F0yKj0nFpAk8xOh2Eog7zacpzmAMWTMnrNPl09mnC0rI+yJ8kX5Rn0PiXVdbH1le4\n",
       "ZUwwZRnwz6g4JrnCLc8lEkonaLIT5IJY2XmKvVoLNE6cJH8M8/uEOcyTaKfhO7QKr+98HKc11epF\n",
       "NCsle5AhnCXrT9SGLrbRBI6gFTZKvf2iY5hlOMzvMToCMoNONBilNjeMDnOQgjnphOORnHJFBTNP\n",
       "BOM0c8r6urkIeI5WhzmHnssswTxINOtUiIToN4C3xcrOo8JahFngAFFK9izpDvN7hDlML5iP0+ow\n",
       "fSboBHAdyDtin50kOyV7kCGc9OMf1t2NYM6iFXWU0tyNvBvknHL2lYofwyySki3DYYb0BocA+UWQ\n",
       "P+5yI6PoMEMn/axFU1p9dpgyBpzD4MYwp4CXARek3BIRJy6YibqT60HWJ8oXdZjH2pSdQ2fcAjxK\n",
       "a135uJt4aYL8HvBLwD2oEK5Chcs7wE3ux5PjMGVWXWkLScE8QHeC6VOy32apwzyBxss3ANeS7zBD\n",
       "UrK9GsMsNB5ZQcGUBvAuojGBQVBk0k+Zt5VUxWFeTvfnbwYVzJIcpmwB2V3OvlLx91aGtKN4Sraf\n",
       "nbRVaJCcDXyjRa+ZAja73ze1KecF8xRLxyR/Bx0DjNNJSjY2RtfCHPAt9/tjtArmxmgp14P4ePKr\n",
       "6HNeP4kK4Wrgf4mEKCaY4uePtEvJ7gI+mPgsKZj7SE/JhgimT8k+izrM8dh3idfPDnRGdbx+0+rM\n",
       "p2RnQNaA3JNSpmcp2SLOayNqxbtNyR5zP2UE6/PcfraUsK8sLCXbHQuoM+iGsh3mNcAtJe0rjSIO\n",
       "cx3lpGTXoE7gMMXiTq+YBPxY3gVtyvm62w9cGH0sY2g7/LFE+SKCGZKS/ab7PSmYPu5eCHwcuEzf\n",
       "IsIk8Hk0Y+RTsk/q9sU/mcebnXlUTJc78UxjK7AtYaaaqGA2WSrInriotsOnZG8D7kKH6HxaNu4w\n",
       "V7nvupp8h+nHMH8cuNYJ5x/EyvQsJbs5oIxnHk0TVMhhspBY9pFMt170bSVQTko2pDc4DCwAm9yk\n",
       "s04p2WGyA3hZTuqvnwzjpJ859PaVZxjMOOYUKpQvECaYjwDbY5/Po2OaScGMj2HmvWZqDh2bzBPM\n",
       "M8B/s1QwH0OfvTrujmML8IR7nOYPiCb9PIvG2O1o7PGOeh4VU182jW2ogMXXpznMNilZXwep2Orz\n",
       "+wAABh5JREFUmQSXkm0cgsZptD7igukdJm7dJWQ6zEVnetit8+fr7cDvgpznjqVnt5VsDijjmQf+\n",
       "g+4dphfMMnr7C2ivNsNh9mqmrrwC+FrGyk4fjddvh/l9ht5hygTa3g5QrK0mKdthbgcaDO4m/WGc\n",
       "9DOH3hpwiMGMY3rBfIAwwXwU7fh4FtAUYppg+oD+fnQIKIsrgQdpL5gPAH+GdiySgvkA6nLPEgnm\n",
       "d9z642jM34gKzXPApWiKd9LNDvaCeZBswdzq/vfl+qcsR2+HOUgkmGkO0wvmS4DH3cPfvwXyykQ5\n",
       "n5L1HIltKz7p5zhwPzpj2ItorM5kLXAjrbNqL0bv4bzRFdqJTqA6FO1TxjK+d98EMznoXYRBOMwv\n",
       "kO0wP9/+UV0y7dIeebwVuDrjDQEZKVlJBu+SxjClQfgU8EFzIXqBP0Z3adkSHaY0UMG8j9aAmyzT\n",
       "TwIdpkyhceI49XeYPiX7rywKpqwH+atE9iLLYS4A/6Lrxb0kWRrAT6GidNKVv751t3IZyLXuj1eh\n",
       "HetY8F90Yw208/IkNH6bpR2LDWj8BfgqKpgLLArmosvcijquw6g726/bZB69hrzDTBnHXEw7f5Go\n",
       "s+eH0Y6wZAxT4u276Y75RbeN96ACdiOt+JSs5zngSpCNtN5Wsg+dFHQl6Q5zN/ARWu/b3I7eerPT\n",
       "fced6D2n97r6aRtXCwqmvAbkmyB/u/ReJVmO2voAhykNkDeCvNY9uSHOLNEYZkqwlnl339D5IFcF\n",
       "HD8gLwf5Wsp71UAbz5fRgfKkYF0NXAX8ZrrTlAaaY7835Xsk2QV8XZeyDuRW3Z+MoefhFIsnShog\n",
       "C8BTIG+PbaOslOwUOgPwMANzmJJ8fmQWvgf9P3QnmE30Amr2TqxkU0ab8z33PaQKptwE7AfZnLHd\n",
       "c0A+DZJ0Mmllt7qeNm7cxl9ToQ7TucvFYNJvhzlIwWyinf1/Q2fKbgT2Am+k9eXIcYe5PdZevDj9\n",
       "F9ErqX4CvW7/HQ3o+4FzQV6qq2UW+CxwpzvfFwLfcGU3gHwCeEJTh1wGCDR8OvIZty1/rWwAHkLd\n",
       "5SeIBPOJ2LEfRF2ld5iXAP/nfi4BbgI+xaJgyrXu1g3PJrffh4gEM25y1qHx7Cm3n4dBbojV71FU\n",
       "NN8LXAf8E/AWLSP+uvCzZD3PAR8A/h51p14A96HC/SRwLy2uXCbdd3mYyI3OoIL5Gbfdj6KCeQ3a\n",
       "wYAcwQxp/G/RGX3MoOLyDrQBPQjypNuGF8v7UcWfAvkcIBnbXEU0PfqjII+iJ+uIO9iPuHK/AnIN\n",
       "2jNYh/ZM1rsvNakVIftj/7dKP+N59KQtQx+jdDHa8PeCPOw+W+aO+wrgt9BK/wLIKbfvMdTq7wbe\n",
       "CXwV5ASaRptz3+15dHLCD4H7QA5lfN/laGPZjQ7G3+7+5xa0oZ5GBRCQvcAr0ZP/N8AHdcYbK9CZ\n",
       "oAfcNk8D7wW5zR2TpxFbbnDfcx/Z5yKOnx13AK3TI8B6kH9o3UUp3A1yDD3+BXRiwj7gu259A32u\n",
       "5gLwR+iYzG3oK48abX7G0bbzNFqnm9D00TR6YZ4GPgdyFj1vG92216CB4ljg8S9DX58kIA+xeH4B\n",
       "baePoBfzXyZ64fNoQL4L2OOujSRb0fGrr7htZ7ESneQAyNfRdvUiiE/bfcZ9318A2UU0WWMGrWuI\n",
       "nmsKKhKbSZ9l2Au2AX+N1tVuvRZLbXc70HP8OHrt3w/8BRo7vgjyelfuXOA0NA6DHHXrzqDX501o\n",
       "yvUekLehhuOT2uGQ48A/ovX7WZCnUBG8Cw30e4AHoXHGlf1p4EPAl1ChPYm2W0fjMMjHgIdAvo2e\n",
       "0/3A36GTfP4ceJ1bej6AxpVDaLt+g9v/WuDDwKeh8bA7tt0sipxc536fRzsE3wDe7bRhkihebEHj\n",
       "+iE0ht4MvN+J7jrdFpei19Htrn6fRjNwf+La8+WoaHueJRLLdwF/imrAd6Gxx9Ubzly8GeRS932+\n",
       "pOeGX0ev7R2uDvfo+eNjwB1uH+90y7aCmdca96LpBMO4D72Ay2Av1u4Mpax2txdrc0ZEmfHOMAzD\n",
       "MAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAzDMAbI/wMaGkbBTNxqbAAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa753b78ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (3600, 128), float64\n",
      "Testing data: (2400, 128), float64\n",
      "Training labels: (3600,), uint8\n",
      "Testing labels: (2400,), uint8\n",
      "Accuracy: 76.1 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (300, 1536), float64\n",
      "Testing data: (200, 1536), float64\n",
      "Training labels: (300,), uint8\n",
      "Testing labels: (200,), uint8\n",
      "Feature vectors accuracy: 63.2 %\n",
      "Clips accuracy: 69.5 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Data: (6000, 128), float64\n",
      "Labels: (6000,), uint8\n",
      "Ratio: 5400.0 training, 600.0 testing\n",
      "  76 (+/- 1.4) <- [76 77 79 75 73 76 76 76 76 75]\n",
      "  77 (+/- 1.4) <- [78 78 78 74 79 76 77 77 76 77]\n",
      "  78 (+/- 1.1) <- [78 77 80 78 77 79 77 76 80 77]\n",
      "  76 (+/- 1.6) <- [77 72 76 77 75 76 75 76 78 75]\n",
      "  78 (+/- 1.0) <- [79 77 76 76 77 77 79 78 77 78]\n",
      "  78 (+/- 1.1) <- [78 77 75 78 79 77 76 79 76 76]\n",
      "  78 (+/- 1.3) <- [77 76 77 78 78 75 79 77 77 78]\n",
      "  77 (+/- 1.5) <- [75 76 78 76 75 80 76 76 76 79]\n",
      "  77 (+/- 1.2) <- [76 78 77 79 76 75 78 78 76 77]\n",
      "  77 (+/- 1.0) <- [78 77 76 76 76 76 76 75 77 79]\n",
      "  77 (+/- 1.5) <- [78 77 76 76 77 77 78 73 78 77]\n",
      "  78 (+/- 1.2) <- [79 78 79 75 76 77 79 76 77 77]\n",
      "  77 (+/- 1.5) <- [77 77 77 76 79 79 78 75 78 74]\n",
      "  77 (+/- 1.9) <- [80 75 79 75 74 76 75 75 77 77]\n",
      "  78 (+/- 0.9) <- [76 78 79 77 77 77 77 77 78 75]\n",
      "  78 (+/- 2.1) <- [79 77 77 80 74 76 77 77 81 74]\n",
      "  77 (+/- 1.5) <- [76 77 75 77 76 76 77 77 80 75]\n",
      "  77 (+/- 1.3) <- [78 78 75 78 75 76 77 77 79 76]\n",
      "  77 (+/- 1.4) <- [78 76 75 76 78 76 78 75 74 76]\n",
      "  77 (+/- 1.5) <- [76 76 77 72 76 76 78 76 77 76]\n",
      "Accuracy: 77.2 (+/- 1.50)\n",
      "Mean time (20 cv): 21.12 seconds\n",
      "Overall time: 426.84 seconds\n",
      "\n",
      " -------------------- Graph, diag = True -------------------- \n",
      "\n",
      "Data: (149000, 96), float32\n",
      "Elapsed time: 176.51 seconds\n",
      "All self-referenced in the first column: True\n",
      "dist in [0.0, 1.47113442421]\n",
      "w in [0.00576181244105, 1.0]\n",
      "Ones on the diagonal: 149000 (over 149000)\n",
      "assert: True\n",
      "W in [0.0, 1.0]\n",
      "Datasets:\n",
      "  L_data    : (2410344,), float32\n",
      "  L_indices : (2410344,), int32\n",
      "  L_indptr  : (149001,) , int32\n",
      "  L_shape   : (2,)      , int64\n",
      "  W_data    : (2410344,), float32\n",
      "  W_indices : (2410344,), int32\n",
      "  W_indptr  : (149001,) , int32\n",
      "  W_shape   : (2,)      , int64\n",
      "Attributes:\n",
      "  K = 11\n",
      "  dm = euclidean\n",
      "  Csigma = 1\n",
      "  diag = True\n",
      "  laplacian = normalized\n",
      "Overall time: 186.56 seconds\n",
      "\n",
      " -------------------- Features, diag = True -------------------- \n",
      "\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Datasets:\n",
      "  Xa: (10, 100, 644, 2, 1024) , float32\n",
      "  Xs: (10, 100, 644, 2, 96)   , float32\n",
      "Full dataset:\n",
      "  size: N=1,288,000 x n=96 -> 123,648,000 floats\n",
      "  dim: 123,648 features per clip\n",
      "  shape: (10, 100, 644, 2, 96)\n",
      "<class 'h5py._hl.dataset.Dataset'>\n",
      "Reduced dataset:\n",
      "  size: N=149,000 x n=96 -> 14,304,000 floats\n",
      "  dim: 28,608 features per clip\n",
      "  shape: (5, 100, 149, 2, 96)\n",
      "<type 'numpy.ndarray'>\n",
      "Data: (149000, 96), float32\n",
      "Attributes:\n",
      "  K = 11\n",
      "  dm = euclidean\n",
      "  Csigma = 1\n",
      "  diag = True\n",
      "  laplacian = normalized\n",
      "Datasets:\n",
      "  L_data    : (2410344,), float32\n",
      "  L_indices : (2410344,), int32\n",
      "  L_indptr  : (149001,) , int32\n",
      "  L_shape   : (2,)      , int64\n",
      "  W_data    : (2410344,), float32\n",
      "  W_indices : (2410344,), int32\n",
      "  W_indptr  : (149001,) , int32\n",
      "  W_shape   : (2,)      , int64\n",
      "Size X: 13.6 M --> 54.6 MiB\n",
      "Size Z: 18.2 M --> 72.8 MiB\n",
      "Size D: 12.0 k --> 48.0 kiB\n",
      "Size E: 12.0 k --> 48.0 kiB\n",
      "Elapsed time: 2673 seconds\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfMAAAFRCAYAAABg20SuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xe4JFWd//F3T2KGGRiCKGmcSxoBRUGC4hKOoIgL6CKo\n",
       "qIiEBTOsuhJFWpEVxTXhT0QlmQBBUEBBEGlUYAHJSg5DGGDIOIQJMPX743uKru7bofp23z51uj+v\n",
       "56mnK9e36870qRPqHBARERERERERERERERERERERERERERERERERERGRcVAB9gt07RFgKTChyfYy\n",
       "8PN+BSMixdPsx0FkEG0FXAk8AzwJ/A3YLOexiZ+KqKhxiUifTAodgEifLA9cAHwc+DWwDLA1sChk\n",
       "UN4k4KUuji/1KpAB1e39FSk85cxlWMzBcrBn+s+FwCXALX57mdqi6hFGF22vC1wNPAv8FlixxfUq\n",
       "wNeb7J+ee1/gfuBPWIL8JWAuMB84DXsAydoPmAc8DHyhxbXfipVAPA3cCGxbF9fRwBXAAuA84FXA\n",
       "L32c1wCzM/t/x8fzLHAz8Pom11wJOMXH9xRwbmbb/sBdWGnI74DVMtuWYg9Yd/p4f+DXL4OVoGSv\n",
       "twrwgo8XYGf//Z7232ejzL5zgYN9zAuAicBe2P1+guq93t7vXwIOBe72289k9N8rPf5x4PDMtSb4\n",
       "5buBfwF/B9b029bH/p09CdwOvB8RERmz5bAf6VOBHRmdEB9F68S8AjwEbAgsC5xN63rqVvun5z4V\n",
       "mAZMxRL2u/y26cBvgJ/V7f9Lv/8bgMeoJkTlzLnX8N9zR7/8Dr+8ciauO4G1sIeFf/rrbocleKcB\n",
       "J/t934UlTOlDxeuAVZt8398DpwMzsZzw1n79dljitzEwBfg+cHnmuKXYA8XywCz/vd7lt50EfC2z\n",
       "76eBP/j5TbCHjM2xhHgv4D5gst8+F7je349lsL/DAuBtfp/jgMU+PoCDsAeg1f32HwG/8ttGfJwn\n",
       "+nO9EXsYfJ3f/kXsoWE9v7wR9nAzHXgQ+Bj272hjfy82GHX3REQkt/Wx3OODwBIsl/hqv61M68T8\n",
       "MuB/Mts3wIromxVxt9o/PfdIZvulwCcyy3OwxGZCZv85me3fAH7aIPZDqD4EpC7CErs0rsMy276F\n",
       "JcSpnYEb/Px2wB3AW2hdirca8DKWkNc7CTg2szwd+16v9ctLsQQ2dab/DmAPK3dntl0B7OnnTwC+\n",
       "Wnet26k+RNwH7J3Z9mXsYSg1Dft7pIn5rZn59DvV3//VM9uvBj7g5+8AdmG0DwJ/qVt3oo9FpKdU\n",
       "zC7D5HZgHywH+Absx/m7HRz/YGb+ASwHtwqWi1vgp0Pb7P+qJttXw4pws/tPAl7T4nzZxCU1GyvK\n",
       "fToz/Ru1Oer5mfmFWG44uzzDz/8ZK/b+f/6YE7ESjnqzsKL1Zxtsq/9ez2NFzmtk1j2amX8hc/0K\n",
       "VqqxBZagvolq8f1srKoh+z3XpPae1N/fhzLLL/o4UiP+3Om5bsXq2bP3v1mcawL3MNps7EEoG+OH\n",
       "684p0hNKzGVY3YEVKb/BLz+PJRypRsXJr62bX4IVm34CS+SWozYX2mj/JzLrsq3QH6Y2p/5aLDGZ\n",
       "X7cuOz+vQYwPYLn0FTPTcsA3G+xbH0Mjx2Mt/jfESga+2GCfB7Fi5UY58/rvNR0r8m8Ue72XscaK\n",
       "H/LT+djfCex7HkPt95yB5exT2e/2CNV6bLCc+cqZ5QeoVr+k07L+uHYexNpT1HsAq1Ko/1t8Osc5\n",
       "RTqixFyGxeuAz1PNEc7CEoir/PKNwDZ+/Uxqi6LBisf3xIrLl8WKeM+ieWLY6f6nA5/DEr4ZWBH9\n",
       "GVjxbupLWCL0eqwI+UxG+wVW5LsDVgc+FXDU5oRLTebrbYblLCdjOdGFWAJb7xHgQuCHwAp+/20y\n",
       "32sfLFe9jP9e/4cldI3Ux/MrYA8sR/urzPqfYA9RW/hjpgM7Uc0t1zsbuy9bYnX35bpr/cjHlj4w\n",
       "rQK8p8m56v0Ua1S4rj/nG7GHmwuwB6A9sXsyGavjXz/neUVyK1piXsKetr9PtY5PpBcWYAnT1cBz\n",
       "WCJ+M9VW4ZdgiePNwLVYLjCb8CZYXfSpWOI1BTiwxfUSLIfcbP/6RP1kv/9fgHuxxPOzdftfjtUh\n",
       "/wlrwPWnzLb0fA8B78VaVz+GJZpfoDbhqv9e9bGky8sDP8aK0OdipQrHNfm+H8VKHm7HShPS73op\n",
       "cCTWoO9hrOHdHk1iaRTPNdjfazXsgSF1HdZK/gc+vruw34xmD0u3YvfzDB/HAuz+pK8mfg9riHcx\n",
       "1iL9KuxBoVmcWd/GShAuxqoafoI9RD2HPVTtgZVEPIK94TClxblEBsKu2I/ft6htjCISm8uwFupS\n",
       "TDOwh4/Z7XYUiUHRcuZzsBar/w18MnAsIt1SZy7FsgtW5TEdyzDcTG3jPJFo9SMxPxkrdrulbv2O\n",
       "WJHcXVRfRXkI6ygCausKRWKkblaL5T1Ycfc8YB1qi/tFpI2tsQ4eson5RKzubwRrFHIj1lBoGtaY\n",
       "5PsoZy4iIlIoI9Qm5ltiHVmkDqX2/VwRERHJKdRAK2tQ26HDQ1hL47zm0bjDDBERkUF0E9YlcFAj\n",
       "1ObMd8Ne30jtiXVOkZfqItsrhw6g4MqhA4hAOXQAESiHDqDgyqEDiEA5534t071QrdnnYZ1zpGZR\n",
       "29WidG8kdAAFNxI6gAiMhA4gAiOhAyi4kdABRGCkFycJlZj/HRthaATrQOGDWIcNnShjPVuJiIgM\n",
       "KkdBSjhOx3pcWoTVk+/j178b6x/7bkZ3ndmOitnbc6EDKDgXOoAIuNABRMCFDqDgXOgAIuBy7jeQ\n",
       "6d5AfikREZEmCllnLuPPhQ6g4FzoACLgQgcQARfouk9R7cde02BNTzEGoV5N64UyNt5xJWgUIiL9\n",
       "tyJxdBfs0G90O47ae1SfA3cM8IO1itlFZJjpN3BwNfvbqphdRERkkCkxH1wudAAF50IHEAEXOoAI\n",
       "uNABFJwLHUAEXC9OEnNiXkb/UEREhsGpwNGhgwjEUZD3zMeD6otEZJgV+TfwI8CCBtNS4EtjPOcp\n",
       "wFdz7lsB9hvjdSD8g4PqzEVEJLhfAsvVTZ8DHqV2TI5O5W29H/pBZ2Lg60cl9B8rBi50AAXnQgcQ\n",
       "ARc6gAi4QNeN5TfQAZtgOfNtOjhuE+B64F/AGVhPomlueUXgAuAx7J3s87GROAGOAV4CXvTX/L5f\n",
       "/z3gAeBZrDvxrZpc9wBgMdZj6QLgd3796sBv/DXvBT6bOaYMnA383J9/P6x04GvAFf485wGvwh50\n",
       "ngWuAWb7411dDGPKmccqQXXm7bjQARScCx1ABFzoACLgAl03lh/2nYF7gC/WrT8US4QbmQLcDxyE\n",
       "5XJ3wxLYtJh9JWBXYCowA/g1cG7m+MuAfevO+RHsIWAC8HngEX+dRuqL9CcA12FVBJOAtfx32sFv\n",
       "L/v43uOXp2KJ+Z1+3+WBfwJ3Adv573QacLLf39Vdv9F75uUG6wfCQH4pEZGccvwGJkn3U1dKWI70\n",
       "3HY71tkGG1kz6wqa15lvTG2vaZfRvs78KWCjJttOobbO/C3Yw0XWYVQT4zKjO8a5jNoxR74F/D6z\n",
       "vDNwQ5PrjylnHnMPcCIi0lQpdA9xhwAbAJt2eNzqjE7M76daZ74s8B3gXVhuGyyHXqKa4NUnfP+N\n",
       "5dZX99uWx4q985jtj3s6s24i8JfMcqMhvOdn5hdiRfTZ5Rk5r5+LGsANLhc6gIJzoQOIgAsdQARc\n",
       "6AAKygGHA8di9d6deIRqHXhqNtUE+gvAHGALYCawLZaQp4l9fUK+NVbM/35gBewB4FmaN6irP/4B\n",
       "4D5/XDotj+Wu0/3blWK02u7aHJuLEnMREeml1bBGawdhdcuduhJrxHYgMBl4H7B5ZvsMrIHbs1j9\n",
       "+VF1x88H1sksL+fP9wRWT/5lLDFuZj6wdmb5GqwR28HANCxX/gZgM7+92UNBqcn8uFBiPrgqoQMo\n",
       "uEroACJQCR1ABCqhAyig/YFXYy3Jz6f2XfMf+n0OB/7Q5PglWAK+N/Ak8AGsJXnqu1ii+gSW8F9I\n",
       "bc73e8DuWL34d4GL/HQnMBd7EHigRfwnARtixernYO/H74zVzd8LPA78mOoDQbOceVI3X79Pulxp\n",
       "EcvAU2t2ERlmagQ8uNSaXWq40AEUnAsdQARc6AAi4AJdN5bfQBc6gAi4umX1ACciIiLxiOWpVERk\n",
       "POg3cHApZy4iIjKMlJgPLhc6gIJzoQOIgAsdQARc6AAKzoUOIAKuFydRYi4iIiJB6NU0ERlmqjMf\n",
       "XHo1TURkSOg3cHCpAZzUcKEDKDgXOoAIuNABRMCFDqDgXJ+uszVwe5+u1WuuFydRYi4iIr30Eard\n",
       "t/4hM78UGxN8PPwVWL+H56vQfhhV6QEVMYnIMIvtN/A/gYeB14zDubsdyrtRpjbPmOidnjOvMRWz\n",
       "x2ogv5SISE4x/QZuguXMt+ngmLnAocA/sQFTTgaW8dscNn74wdhwqaf5dQ9mjt8Ay10/DfwD2CWz\n",
       "7VTgBKzU4Dlgu7prH4ONsvaij/v7fv36wCXY4C+3Y0OqNjvn9v47/Ddwsz/PSdjDzIXYiG+XYEOy\n",
       "1lNiLjVc6AAKzoUOIAIudAARcIGuG8tv4M7YMKhfrFt/KDaiWjNzsURwDWz88L8BR/ttDhtZ7evY\n",
       "EKlTqU3MJwN3+2tMAt6Ojak+x28/FXgG2NIvpw8JWZcB+2aWp/vzfwzLdW+MjZ62QYtz3oeN6rYK\n",
       "sDo2tOr1wJv89kux4Vhd3bXHlJh3WzwhIiJFVO5Bgl/uahzuEnAYligfV7ft2DbHJsAPgHl++Rjg\n",
       "eOBIv7wUG8d8iZ+y3oolvuk1LgMuAD4EfMWv+y1wlZ9f1CL+1M5Y4nyaX74RGx71/cBXW5zzeCzR\n",
       "B6vXnw/c5JfPxXLwf2ly/Y7EnJiXsWKUStAoiqsSOoCCq4QOIAKV0AFEoBI6gKa6S4h74RBsXPN3\n",
       "j/H4bLH5A1juNvU4sLjJcavXHQtwf+b4BCumbyf7MDQbeAtWbJ+aBPyszTnnZ+ZfrFteCMyg/b8h\n",
       "R44SoNgTcxERKR4HHI69MvavMZ7jtXXzD2eWW5U6PAzMwnLW6X6z6ezVtfrzPwBcDuzQwTkaGcsD\n",
       "VsVPR7XaSa+mDS4XOoCCc6EDiIALHUAEXOgACmg14AzgIKy+eyxKwKewOvOVgCP8OfO4GngBayA3\n",
       "Gfsb7Zw5Pk+COh9YJ7N8AVbnvqc/52Rgc6qvw3VTCuK6OPYVSsxFRKSX9seK179P7XvmC4Af+n0O\n",
       "99uaSYBfARdjDejuAr5Wt73RMWDF77tgxfuPY3XvHwXuzOzXrj3B94DdsZb038VaqO8A7IHV4z+C\n",
       "NcCb0sE56+POe8xASyBZp/1uIiIDadATgfsY/crYsBi67ly/GzoAERGRIog5Md8Ekk1DB1FgLnQA\n",
       "BedCBxABFzqACLjQARScCx1ABFwvThJzYn4s49fPr4iIhLMW8OfQQcj4SyCZDsnjqjsXkSE06HXm\n",
       "w2zY6sxLzwM/BQ4MHYmIiIh0zj+hJGtA8hQkM8OGU0gudAAF50IHEAEXOoAIuEDXjSVn7kIHEAFX\n",
       "tzxsOXOA0jxsBJr/DB2JiIiIdCbzhJJsDsn9kMTcNa2ISCdiyZlL54ZuCNQyrxRPJH+D5P3NdxcR\n",
       "GSgD+cPeRhn4eegg+qD+b+uw7z6Qf/O6L5XsBsk1kERebdBTLnQABedCBxABFzqACLhA1y36D/tc\n",
       "rH/057GRxq4APk53fZgfRf7E/FSq45+PRbmDa3XL1S0PY535K36LjWn7+dCBiIgICTa4yU7YiGfH\n",
       "YkOinhQyqD6aGDqAWDR4QklGIHkQkkMgWabvEYmI9E/Rc+aN+lbfHHgZeH3Oc6yFDTv6L2zAleOp\n",
       "zS2fhQ148ozfb0O//gBssJVF2OAuv/PrDwXu9uf7J/AfTa67oz92sT/+Br9+JvYw8jA2dvnRVDPE\n",
       "e2OlD98GnvDbTsEGlkkHm/krsCo2iMvTwG3Axg2uP3R15o1Wj0ByISTzITkLkq9B8gVI9odkT18c\n",
       "vxMk20HyNkjWhWRaXyMXEele0X/Ymw2Ucj9W3A7wYeCmFue4CvgWNtxoOi76zzLb9wam++3foZro\n",
       "giWkX6073+5YYgrwAWwktFVp7Ki6awGcC5wATANWwYZaPSATyxLg01gCPxUr6n8c2ARYBrgUq37Y\n",
       "E6tuOJrGvdyNKTHvpv4ipISWsSdrA1ti49GugD1RTcX+COnnstgwfatjT03zsKethzLzTwAvAgv9\n",
       "Z3Z+Ifb0tgh4GUpF+8/lsAHtpTGH7k87Dt2jdhxh7lGb30DrJrPbi5TGnkbcB+wHLKX2/lwFnIcN\n",
       "H9rKa7GhT5fHfm8BfunP99EG+6+ADVc6E/s9PwX7DT+yxTVuwBLt8xpsK2PpR3qt12APIitgv/0A\n",
       "H8KGe90OS8y/AszOnOMULHefPrx8Bvgk1ZKJjYC/ALtSe4+a/W1b/s0H9HWu0r3Avfn2TSYArwLW\n",
       "BNbwn2sC2/j1Uxn9IJB+LuOnEiRpwr64zeci4CXsH2U6vVy3nHdds30S+NEIfGIrasfMTRotv4kb\n",
       "ZxzDET/ZmT88lO+eiUjRdZEQj6c1sES3ndWxougXM+vuB2b5+YnAMVhuexXstw/sN3tBk3PuBXwO\n",
       "GPHLM4CVc8Y9GysBeCSzbgLwQGb5wQbHPZaZX1i3/KKPoScGNDHvRGkpdoMfA64f2zmSiViiPqXJ\n",
       "Z/38ROwfwoS6+Wbr8uyTrptsMX3iEeyBI/0PXcpMNctHc6TblstfxBqpDItK6AAiUAkdQAQqoQMo\n",
       "uEpmfnMsMf9bjuMeAVbESlBf8OtmY5kVsCL69wDbU80xP0X1962+VGI28GMsF32V334DzR94ltYt\n",
       "P4hlxFZusC011pKQyhiPq6HEvCdKL2P/4F5ot2cR7QKHYf8ZRER6JU0ol8dKOr+LNWD7Z45j7wf+\n",
       "jhVdHw68BWsdnzZmm4Elrk9h9eb/U3f8fGDtzPJ0LLF9Asv47AW8ocX15wPv9N8hwR4uLsYauB2J\n",
       "vXK3FvZw8pcm5+hrycigvJomo7kO9n0cK6oaJi50ABFwoQOIgAsdQIGdjyV6D2AZhv8F9sls/wjw\n",
       "jxbHfxhLxJ8Cvgycltn2MyzBn+fPkea2UydhrdufBs4BbvXXvwp4FEvIW5UQnOU/n8QeKsAeAKb4\n",
       "cz3l90kb0GWrL2myrtk+rkUcA69ojc2KyOXdMYH3JvYfb5i40AFEwIUOIAIu0HVj+Q10oQOIgKtb\n",
       "1qtpMjYJvDWB2xJ1dCASC/0GDi4l5jI2CUxM4C8J/DiBOQlMTWrqe5I1IPkyJLvau/wiEph+AweX\n",
       "EnOp4TrZOYGVEzghgbkJLEzg5QSWJLB4KSz+Pp+5CJILIHkUktsg+Tokm0JSxNdf8nChA4iACx1A\n",
       "BFyg68byG+hCBxABV7esxFxquG4O9rn1KX5aJnnlzYdkAiRbQPI/kNwNyV2QHAPJGyNL2F3oACLg\n",
       "QgcQARfourH8BrrQAUTA1S0PRGLusP5rTwC2bbFfVF9qcCUlnzv/ph9T/jZIyj5h15sSIuNHv4GD\n",
       "ayBGTVuK9d6zDNYVnxRaKYHSdVA6GOtVaR/sffVzgMcgOReS//L94C8XMlIREemftJj21cAvWuyn\n",
       "p9L2XNjLJ2tA8mFIfgTJtZA874vlf+OL6P8TkrdDMtv3oNdvLsA1Y+NCBxABF+i6T1HbPbOmwZma\n",
       "dXfbMt3rRw9wJ2Nj2j6GdSyf2hHrEWgi8FPgG1SDfQbLnUu0SvOAX/kJSCYB6wFv8p//hg1isDaw\n",
       "CiSPYkMLPoz1tpSdfxzrvOFJ4IUCDmoj0m8rhQ4gJ4e6vG3H0YN71I8GS1tjQ839jGpiPhG4A3gH\n",
       "1oPPtdgINOsD78KKan9I827yEoo5iICMSTIVG1hhdWC1zHw6rYL1iZwOivBk3fSUn57z0/OZ+ey6\n",
       "5xk9+M1LejgQkQi0TPf6lSCOYD2MpYn5ltjQczv65UP9Z96BPpSYD6WkhA0es3LdtBI2KMMMrA/m\n",
       "GU3mpzN6IJyJNB/hbgk2sEN2WtrBcjogQzKOn+dB6YKmt0xEBkXLdC/UQCtrUDtc3ENYH7ydOBUb\n",
       "6B2sWP5GqkUVzn8O8/LGWDVGUeLpwXKpgg1ms4Vff2kX5/P3J5kIq20Py0+GO64FpsBO28Cyk+Gs\n",
       "m4AJsO/mMGki/PhGYCIcuClMnADfucWWD90YJkyA/7nVlssb2fYjbwdK8LUNoFSCI26z5WPWt+XD\n",
       "/fav++VD/fKxr7PlQ+6w5W/45YP98nFz7POLd2LVED26v6OW03Xjdf5BWE7nixJP0ZbT+aLEU8Tl\n",
       "/6Jx+pXOj1AgI8AtmeXdgJ9klvcEju/gfCoWbc+FDqDgXOgAupXA7AR+kTR8Wk/+DskVkPwBkjMg\n",
       "ORGSr0FyICR7QLI9JBtB8hrfnqERN57xDwgXOoCCc6EDiIDLuV/wBnCNzKM6yDx+Xq+i9VYldAAF\n",
       "VwkdQA88hFVdfTWBo0tWPZDaFxt6cnlgJtYO5VXAusDbsDdG0mlFSJ7BGho+lpkeBzaoW34eeLE6\n",
       "lZqN7TwsKqEDKLhK6AAiUOnFSUIl5n/HWjSPYC2WP4g1gOtEGbsJld6FJRKPknW5+y7gFODJBO4B\n",
       "FgJLoPTnkrVLySGZiLU7SBP3VTLzb8qsWwVrdzCtOiVLqEnceRF7qFhscbzyOZb5tN1BOvViudGr\n",
       "QORYt8T6VBDpO0eO3Hs/GpGdjvXmtjL2dP9l7Mfn3VRfTTsJ+HoH51QDuPYcetBpxTFA9yexnPfa\n",
       "WKO+KcATJRt3uRuOlvcoKflrLUtNAs9kvz772Wy+1boJmWliD5dLmYm65WbrFkDpHaPvwUGfg+8u\n",
       "gzWYXFj3mT7cvJD5zM4vHoI3KRwD9P9snDjy3aPgDeCa5bgv9JOIdKlkjUCv7/NVEyzRWgQ83d9r\n",
       "F8WkSdibFMsAU+s+04ebZRt8LgtMhKRRIp+dz5ZQdPpWRZL5zE6N1nWybwfHH/M6OGKNuvW/rq2e\n",
       "SSZiJT5LgJfQ66JjEmvuNgG+gorZRaQPEtgO+EfJShd7ddZJNE7ks/NpCcXEzJR3OS1VqC+NaLau\n",
       "k33HejzAnlB6KXMfNgCu8d91ko/dJ+qvJPBL6uabfbba1uwhhA7Wd7Jvo/Vk1tFk3elQuqO6esv3\n",
       "wXJ7wcXvzdzDUULVmfdCOXQAIjI0tgJ+m8B1wL3As1Tr4o8p2XKHSi9hY1Es6F2YMSrdBmTGbkjS\n",
       "h5E0cZ+cmSZl1tV/NlqX/cw+4LSqUumk+qWT9WTW0WRdA1feCjwTb967NRXBtOdCB1BwLnQAEXCh\n",
       "AyiSBJZPYMcEDkjgCwn89/Hwo6QmIZI6LrvQ+DXKoedy7teTV9NGsFda/oQV/UwC/pXzWBGR6JXs\n",
       "N++iutXus0Ofs+7ICQm8Hbgbu5/PY6Ub55bUhqoreZ6SDgD2x15dWQeYg403vv04xtWO6sxFRCKT\n",
       "WMPAdbE3L5bDGr6VgGtLcEPI2IogsfFKvkK1+mXJGbDKH2Dmz2Fzuuyb/Sas+8z/Azbx626hdgS0\n",
       "ftOraSIiMlASe4V7Q+xBZwZWCj4BWFSCX9NluneN/0yfmiYBN3dzwh5QnXl7LnQABedCBxABFzqA\n",
       "CLjQARScCx1ABFzO/VqmexNynOBy4AisrvydwFnYCGgiIiJSAHmy7BOB/YAd/PIfgZ8SNnesYnYR\n",
       "ERkmhRjPvNfUAE5EBk+ZyVR7jsv7XjR0/1s+1szZWI6bSzlzXJkp2LDYjd4Nb/UueSfzY/0OY9nW\n",
       "aH0n+/6CMre/srQOezCVT/JPtqHLTmPuaxLA2jmOHU/lwNcvOocedFpx6P6040jvUZkS1hI57Te9\n",
       "UWceaeKT7fFrQpvPsW5rtE+rBK1dYtdu+2LK/HrU2jexP7vyEnZv0vuzTGZq1J1rsy5ep/nvknbn\n",
       "mvaS1knPZGMx1geB9sfdzVTWZWHd2jlYj2yptbAS3/pe2/L08tZu/nn/2ezejPXfTLNtjda33vda\n",
       "1mLzmnS2diTCj/J/wHo+MW8qT2K+eWZ+KrA71uJORGJWZjqWI2o0rcZdrMZ6TMRa1i6H9fmdHdWs\n",
       "/ocz2yd4tq/uZp9j3dZon3S+lXaJXavtL0CDxHxF1gRmU+2jfnFm/jlGD7TS6DM7v6Qm1xo/R7uH\n",
       "5jJ3YH2ZDCvH71vcozJzgaOBr7Y6yVifyK4H3jzGY3tBdeaSj+UoJ1HNMTX6zI6q1elnp/8OO/2h\n",
       "btff823+x7BWmfdgY5mnr7jMBFanmliviX3/eU2mR7AuShe8MpVrxksXkf5qme7lyZlvSvUHZAKw\n",
       "GfZDJjI+LAFeFisBWslP2fkVsAQqTagaTdliz6XU5pqyn4upHXWq089OEudOE/48/T3/Chok5rAX\n",
       "9h0XYDnEfwFXUptgPzVguUCRoZXnx6VC9QfrJWAu8C0a/4D0i3Lm7TmKWCdcZhqwnp/WwHKLq2Wm\n",
       "V2EJ9kvAU356sm4+zTE+l/nMTs9jY0pbYl3m5QaROIp4f4rFoXvUjkP3qBWH7k87jj6NZ+5yhdN/\n",
       "ZdSavdgsh/1mYFvgbVipzqrYqFN3AQ9ixbl3+M9HgMexHGN9oxkRkWHkyJEOt8rdfsF/1hfDlfy6\n",
       "b48lqh5RzrzIyswBPoE1lnwRuAS4CutN8N4mOWUREWluzDnz5WhcH1hqsl6GXZnNsBaXmwInATti\n",
       "DbT070VEREZR4tCe69uVyryWMqdTZh5lPk6ZqX279ti50AFEwIUOIAIudAAF50IHEAGXc7+uxzOf\n",
       "hnXnuqGfT0+4b84AZFBZb1WfAw4BfgDsT5nnwgYlIjJ88tQ7nw3cBnwE60J1T7984DjG1Y7qzEOy\n",
       "hm3bA98FHgI+Q5m7wwYlIjLQuu6b/UZgY2zY0zdiXTf+DXhLL6IbI/XN3m+WgI9gI+ftg70+dgTw\n",
       "G9WJi4iMG+eno+gyMb8G2AL4K/Ap4FHgasL2zd4+Z15mNrAN9trTtbkTnDKTgFlYj1nLMbrHr/r5\n",
       "dHkS1tFJOk3PzE+sO0+7XsXSqVS3XD81334X01mPhS2Og9qOSN5Amaeb3JONsaFwFwBXAKcD50fe\n",
       "Kt2hB8E2K6afAAAb30lEQVR2HLpH7Th0j1px6P604+jTe+Y/wXJhXwLOw3rXOjLHceGU2QU4FXsl\n",
       "6ijgIcp8gTLXNdl/beCDwHuBjbCOSZ7GEq+XsN6+sj1/NVp+Cetf+QWs05IXsAefFzPnyPYc1q53\n",
       "saTuWvVTq+0JN7Ap63F1k+MadQv6bIs7eiuwDmWeaLGPiIgEkidnPonq6D1F0fwJpcxM4B5gJ8pc\n",
       "7XPa+2CvTF2EvTJ1N9bb2LuA92EDJfwGax9wLWUWjPcXEBER6UDXdeYPYIngmcCfKcZrYa0S8y8B\n",
       "cyizV936mVijvfdhg0w8hhUdnwtcRrlwDywiIiKprht+T8eKoM8F7sdeQdq6+7i60viBosxylHmM\n",
       "Muv3OZ4icqEDKDgXOoAIuNABRMCFDqDgXOgAIuBy7tcyIz0hxwmex3Llu2Kt2mdS3AYN7weuoMzt\n",
       "oQMREREpGgecANwH/BrYLWg0zXPmv6HMR/sci4iIyHjruge4udi75mcCX4SC9vBVZgI2OtdBoUMR\n",
       "EREpmpmhA2ggwYZAda+sKfMGytwTKJ4icqEDKDgXOoAIuNABRMCFDqDgXOgAIuBybC/Tg5x5q/eP\n",
       "QyrXLf8b1rGNiIjIoKj46aiwYYyP0U8oZX5Emc8GiEVERGS8dd2aPRYbY3X7IiIiQyVPYj4VGzHt\n",
       "CCybfxTw5fEMqmNlJmLdsN4cOpQCcaEDKDgXOoAIuNABRMCFDqDgXOgAIuB6cZI8dea/A54BrgMW\n",
       "9uKi42Bt4DHKha3fFxERCeofoQNooLbuoMxOlLkoUCwiIiLjres68yuxccyLbD3grtBBiIiIhJAn\n",
       "Md8aK2K/E7jFT0Wrm56DxSdVLnQABedCBxABFzqACLjQARScCx1ABFwvTpKnzvzd/jPN4nc1ass4\n",
       "WQ8ba11ERGTo5E2YN8Zy6AnWMctN4xZRPrVDwZW5F3gXZRW1i4jIQGo5BGqeYvaDgF8AqwCv8fMH\n",
       "9iS0XrA+2dcAHgwdioiISFHdgo1pnpru14VU7Zu9zKqUeSxwPEXkQgdQcC50ABFwoQOIgAsdQMG5\n",
       "0AFEwOXYXqZHPcAtbTIfUhnrr/a1KFcuIiKDqcLosUhGydMA7hTgauAcrLz+P4CTuwis12ahxLyR\n",
       "SugACq4SOoAIVEIHEIFK6AAKrhI6gAhUenGSPIn5t4HLga2wbP7ewA29uHiPKDEXEZGh1qqYfXn/\n",
       "uRJwH9bw7ZfA/X5dUayJEvNGXOgACs6FDiACLnQAEXChAyg4FzqACLhenKRVzvx0YCfgehpXvK/V\n",
       "iwB6YDXCvyonIiIiHao+XJS5lDLvDBiLiIjIeOu6NfulOdeFsirwaOggREREQmmVmE8DVsY6i1kp\n",
       "M41gnbQUxWtQYt6ICx1AwbnQAUTAhQ4gAi50AAXnQgcQAdeLk7SqM/841vvb6thAK6kFwA96cfGu\n",
       "lZmCNdR7MnQoIiIiRfbZ0AE0YHUHZdakzMOBYxERERlvXdeZJ8CKmeUVgU91E1EPqYhdRESGXp7E\n",
       "fH/g6czy08AB4xNOx14DzA8dREG50AEUnAsdQARc6AAi4EIHUHAudAARcL04SZ7EfELdfhOByb24\n",
       "eA+sjOrLRURkyOXpzvWPwBnAiVjf7B8HLhrPoDqwIvBU6CAKqhI6gIKrhA4gApXQAUSgEjqAgquE\n",
       "DiAClV6cJE9ifghWrP5Jv3wJ8NNeXLwHVqK2CkBERGTo5Clmfxk4AdjdTyf6deNlOnAt1pVsOyuh\n",
       "nHkzLnQABedCBxABFzqACLjQARScCx1ABFwvTpInZ74VcBTWWUy6fwKs3YsAGjgYODPnvipmFxGR\n",
       "oZcnMT8J+C9swJXxzJEDvBO4FZiac3/lzJurhA6g4CqhA4hAJXQAEaiEDqDgKqEDiEClFyfJU8z+\n",
       "DHAh9grYE5kpr5P9sbfUrd8RuB24C6uXB9gWeCvwYeyVuFKbc6vOXEREJIdjgeOALYE3Z6a8tgY2\n",
       "oTYxnwjcjRXdTwZuBDbIbP8Y8O8tzpn2AHc7ZdbvIJZh4kIHUHAudAARcKEDiIALHUDBudABRMDl\n",
       "3K9lD3B5itnf6k+yWd36t+cM4K9Yop21BZaYz/XLZwDvBW7zy6flOO+pXMosrmM/YB72QFDx25z/\n",
       "HObljQsWT9GWdX/aL9Nmu5a1rOXulzdusj2dH6FARqjNme8O/CSzvCdwfAfnSyhToswSyoXpwEZE\n",
       "RGS8dJ0zP8qfpFR3sq+OV1A5LQsspsySHpxLREQkWnkawD3vp+eApVhd9kiX150HzMoszwIe6ugM\n",
       "x/EV7mFRl3EMMhc6gIJzoQOIgAsdQARc6AAKzoUOIAIux/byeFx4GeDyDo8ZobaYfRJwj18/hdEN\n",
       "4NpJKDOHMnd1GMcwcaEDKDgXOoAIuNABRMCFDqDgXOgAIuBy7teLEu0aK2GN1/I6HXgYWAQ8COzj\n",
       "178buMOf67AOY0gosyllruvwOBERkRh1XWeezVFPAF5NZ/XlH2qy/kI/jdXywIIujhcRERl4a/nP\n",
       "2Vhx+AiwJsUY/jRhFqfzAa4MHUiBudABFJwLHUAEXOgAIuBCB1BwLnQAEXA5tpdpkzNv1QDubP95\n",
       "MvY++FyskVoxWo/vxwVsyH2hwxARERlHFXI0gGtVzD4ROAJ4HfB5artWTYBvjz22nlAxe2uV0AEU\n",
       "XCV0ABGohA4gApXQARRcJXQAEaj04iStcuZ7YAOrTASWA2ZkpuV6cfEuLYcScxERkVxa9ZEeSsLr\n",
       "uZydOTl0IAXmQgdQcC50ABFwoQOIgAsdQMG50AFEwOXYXqaLOvPUH3KF02/v50Y24+bQYYiIiIyj\n",
       "CjnqzPMk5kWlYvbWKqEDKLhK6AAiUAkdQAQqoQMouEroACJQ6cVJlJiLiIhELk9iPh04kuooZ+sB\n",
       "O49bRPmpNXtrLnQABedCBxABFzqACLjQARScCx1ABFwvTpInMT8FWAy8zS8/DBzTi4t35UI24Pes\n",
       "FzoMERGRceTo0UAraf/nN2TW3dSLE3chocx1lNkscBwiIiL90HVr9kXAtMzyOn5daNOAF0MHISIi\n",
       "ElqexLwMXIT1y/4r4M/AIeMYU15KzFtzoQMoOBc6gAi40AFEwIUOoOBc6AAi4Hpxkjyjpl0MXA+8\n",
       "1S8fBDzei4t3aVmUmIuIiORyPvBhrFV7USRswyJWZqfQgYiIiIwjR44e4PKe6ATgfmwktd2Bqd2e\n",
       "tEsJZZZQZkrgOERERPqh6wZwFeCTWMO3E4EPAI91HVb3JlCU4ViLyYUOoOBc6AAi4EIHEAEXOoCC\n",
       "c6EDiIDrxUny1JmDNTZ7D5aQvxk4rRcX79KLlLsvdhARERkGv8aK2E8E3o4NiRpaQrkQjfBERET6\n",
       "oWXmNU/O/CTgQ9jY5kWiluwiIiK0rjPf3n/OAN4LvM9Pu/nP0F4IHUDBudABFJwLHUAEXOgAIuBC\n",
       "B1BwLnQAEXC9OEmrnPk2wKXALjTO3p/TiwDG7I/MxG5CJWgcIiIi48fRowR/7Zzr+imhzJWBYxAR\n",
       "EemXrl9NO7vBurPGFktPqc5cRESE1on5Blj9+ArU1pXvTfhOY0CJeTsudAAF50IHEAEXOoAIuNAB\n",
       "FJwLHUAEXC9O0qrOfA5WXz7Tf6YWAPv34uJdUgM4ERGRnLYMHUADCeVCdFwjIiLSD13XmX8SK2pP\n",
       "rQic3E1EPaJidhEREfIl5m8EnsksP4116RqaEvPWXOgACs6FDiACLnQAEXChAyg4FzqACLhenCRP\n",
       "Yl4CVsosr0QxunRdGDoAERGRWOwF3AEcDXzNz+8VNCJI2JAKeuoTEZHB5ujReOYArwc+46cNe3HC\n",
       "LiWUOSx0ECIiIn3SdQM4sKL154EfAI8Da3UZVC8sDh1AwbnQARScCx1ABFzoACLgQgdQcC50ABFw\n",
       "vThJnsS8DBwMr+SEpwC/6MXFu7QodAAiIiKxuAlL9G/IrLs5UCyphDIHBI5BRESkX7ouZl8ELM0s\n",
       "T+8qnN5RMbuIiAj5EvOzgBOxjmMOwIZF/el4BpWTitlbc6EDKDgXOoAIuNABRMCFDqDgXOgAIuB6\n",
       "cZJWfbOnjgN2wPpknwMcCVzSi4t3STlzERGRiCWU2Tl0ECIiIn0y5jrzK/znc1iuPDv9C5gLfLr7\n",
       "+MZMOXMREZEurYz1BhdCQpltA107Fi50AAXnQgcQARc6gAi40AEUnAsdQARczv1a5szz1JmDDayy\n",
       "Ndaq/QrgeuBJ4O05jx8PypmLiIjk9GXgFuArwFex986PDBoRJLyKE9FTn4iIDDZHj/pmvxOYmlme\n",
       "5teFlFBmo8AxiIiI9EvXncbMwxLw1FTgoW4i6hEVs7fmQgdQcC50ABFwoQOIgAsdQMG50AFEwPXi\n",
       "JK3qzI/3n88C/wQu9svvBK7pxcW79FLoAERERIqg1GLb3li2Pt2nfv608QurrYQysynzQMAYRERE\n",
       "+iWbBo/SKmd+qv+cBqzrT3Q3sLBXkXVpSegAREREiqBVnflk4JvAg1gu/GdYXflxfltoKmZvzYUO\n",
       "oOBc6AAi4EIHEAEXOoCCc6EDiIDrxUlaJebHASsBa2Hvmb8ZWBsbcOVbvbh4l5QzFxERaeNuGif2\n",
       "E/22kBLKzAgcg4iISL+M+dW0pdSOY556ucn6flPOXEREhNaJ+W3Axxqs/yhw+/iE0xHVmbfmQgdQ\n",
       "cC50ABFwoQOIgAsdQMG50AFEwPXiJK1as38aOAfYF7jOr9sUWBbYtRcX70qZl0OHICIiUgSt3jNP\n",
       "t28HvB4rr78VuHS8g8qh5ft2IiIiA2Yg072uO5wXERGJSNd9s0ucXOgACs6FDiACLnQAEXChAyg4\n",
       "FzqACLhenKRoifn6wAnAr4H9AsciIiIiXZiAJejNqJhdRESGSXTp3i7AhcD7WuwT3ZcSERHpQvB0\n",
       "72RgPnBL3fodsffV7wIOaXDc71qcM/iXioALHUDBudABRMCFDiACLnQABedCBxABl3O/luleq/fM\n",
       "e+UUbGz0n2XWTQR+ALwDmAdcC5wHvBrLkU8FLutDbCIiIpLTCLU58y2BizLLh/opL+XMRURkmATP\n",
       "mTeyBja0auoh4C0dnuNUYK6ffwa4Eaj4Zec/taxlLWtZy1qOcTmdH6FARqjNme8G/CSzvCdWFJ+X\n",
       "cubtudABFJwLHUAEXOgAIuBCB1BwLnQAEXA59ytkpzHzgFmZ5VlY7lxEREQKaoTanPkk4B6/fgpW\n",
       "RL5BB+dLgDJ66hMRkcHmsPQueIn06cDDwCKsnnwfv/7dwB3A3cBhHZ4z+JcSERHpo4FM9wbyS/WY\n",
       "Cx1AwbnQAUTAhQ4gAi50AAXnQgcQAZdzv0LWmYuIiMiQU525iIgMA0dB6szHw0B+KRERkSZUzD6k\n",
       "XOgACs6FDiACLnQAEXChAyg4FzqACLhenESJuYiIiAShOnMRERkGDtWZi4iIDATVmQ8pFzqAgnOh\n",
       "A4iACx1ABFzoAArOhQ4gAq4XJ1FiLiIiIkGomF1ERIbJwBazl1ERjoiIDDaHpXcDSTnz9lzoAArO\n",
       "hQ4gAi50ABFwoQMoOBc6gAi4nPsNbM5cREREIqacuYiIDBPlzEVERAZZzIl5GdXHtOJCB1BwLnQA\n",
       "EXChA4iACx1AwbnQAUTA5dhebneSST0IJJRy6ABERETGWcVPR4UNY3yozlxERIaJ6sxFREQGmRLz\n",
       "weVCB1BwLnQAEXChA4iACx1AwbnQAUTA9eIkSsxFREQkCNWZi4jIMBnYOvMyKsIREZHB5hjgt7eU\n",
       "M2/PhQ6g4FzoACLgQgcQARc6gIJzoQOIgMu538DmzEVERCRiypmLiMgwUc5cRERkkCkxH1wudAAF\n",
       "50IHEAEXOoAIuNABFJwLHUAEXC9OosRcREREglCduYiIDBPVmYuIiAyymBPzMqqPacWFDqDgXOgA\n",
       "IuBCBxABFzqAgnOhA4iAy7G93O4kGs9cRESkuCpoPHMREZGBoDpzERGRQabEfHC50AEUnAsdQARc\n",
       "6AAi4EIHUHAudAARcL04iRJzERERCUJ15iIiMkxUZy4iIjLIlJgPLhc6gIJzoQOIgAsdQARc6AAK\n",
       "zoUOIAKuFydRYi4iIiJBqM5cRESGierMRUREBlnMiXkZ1ce04kIHUHAudAARcKEDiIALHUDBudAB\n",
       "RMDl2F5udxL1zS4iIlJcFdQ3u4iIyEBQnbmIiMggU2I+uFzoAArOhQ4gAi50ABFwoQMoOBc6gAi4\n",
       "XpxEibmIiIgEoTpzEREZJqozFxERGWRKzAeXCx1AwbnQAUTAhQ4gAi50AAXnQgcQAdeLkygxFxER\n",
       "kSBUZy4iIsNEdeYiIiKDTIn54HKhAyg4FzqACLjQAUTAhQ6g4FzoACLgenESJeYiIiIShOrMRURk\n",
       "mLRM94o4atp7gZ2A5YGTgEvChiMiIiJjtQLw0ybblDNvz4UOoOBc6AAi4EIHEAEXOoCCc6EDiIDL\n",
       "uV+0rdm/BPwgdBAR2zh0AAWn+9Oe7lF7uket6f6015N71K/E/GRgPnBL3fodgduBu4BD/LoS8A3g\n",
       "QuDGPsU3iFYIHUDB6f60p3vUnu5Ra7o/7fXkHvUrMT8FS7izJmI57x2BDYEPARsAnwG2B3YHPt6n\n",
       "+ERERKLVrwZwfwVG6tZtAdwNzPXLZ2CN344Fju9TXINsJHQABTcSOoAIjIQOIAIjoQMouJHQAURg\n",
       "pBcnCdmafQ3gwczyQ8Bbch57D2oEl8fHQgdQcLo/7eketad71JruT3t57tFNrTaGTMy7SYzX7VkU\n",
       "IiIikQvZmn0eMCuzPAvLnYuIiEhBjVDbmn0SVlw+AkzBWq5v0PeoREREJJfTgYeBRVg9+T5+/buB\n",
       "O7CGcIflOE+jV9mG0SzgMuCfwD+AA/36lbAe8+4ELqb2lYfDsPt2O7BD3yINayJwA3C+X9b9qbUC\n",
       "cDZwG3Ar1mZF96jWYdj/s1uAXwHLMNz3qNFrxmO5H5v6c9wFfG8c4w2h0T06Dvt/dhNwDjAzs23o\n",
       "7tFELNEfASYz3Dn5Val2NDADeyDaAPgmcLBffwj2ZgDYq383YvdtBLuPRe4wqFc+D/wSOM8v6/7U\n",
       "Og3Y189Pwn5gdI+qRoB7sQQc4EysodIw36OtgU2oTag6uR8lv+0a7I0mgD8w+tXlmDW6R++k+m/h\n",
       "WIb8Hm0JXJRZPtRPAr8F3oE92b3Gr1vVL4M9+WVLMi4C3tq36MJYE/gT8HaqOXPdn6qZWEJVT/eo\n",
       "aiXsQXlF7GHnfOxHedjv0Qi1CVWn92M1LJea2gP40XgEGtAIoztJS+0K/MLP9+wexfTU2OhVtjUC\n",
       "xVIkI9hT4NXYf6j5fv18qv/BVqe2ceEw3LvvAF8ElmbW6f5UrQU8jnXodD3wE2A6ukdZTwH/CzyA\n",
       "VRM+gxUn6x7V6vR+1K+fx3Dcp9S+WE4beniPYkrM9V75aDOA3wAHAQvqtiW0vmeDfD93Bh7D6stL\n",
       "TfYZ5vsDltN8M/BD//k8o0u6hv0erQP8F/bAvDr2/23Pun2G/R7Va3c/ht0RwGKs/UVPxZSY61W2\n",
       "WpOxhPznWDE72FPxqn5+NSxBg9H3bk2/blC9DXgPcB/W+HI77D7p/lQ95Kdr/fLZWKL+KLpHqc2A\n",
       "K4EngZewhktbontUr5P/Vw/59WvWrR+G+7Q38O/ARzLrhvIe6VW2qhLwM6woOeubVOtfDmV0I4sp\n",
       "WPHqPTTPsQ6abanWmev+1PoLMMfPl7H7o3tU9SbsbZFp2Hc9Dfg0ukcjjG4A1+n9uBp7e6LEgDXu\n",
       "8kaovUc7Ym9FvKpuv6G9R52+yjaotsLqgm/EipJvwP7QK2GNvhq9InI4dt9uB97Vz2AD25Zqa3bd\n",
       "n1pvwnLm2ddldI9qHUz11bTTsBKxYb5H6WvGi6m+ZjyW+5G+dnU38P1xj7q/6u/RvtjrZfdT/b3+\n",
       "YWb/YbxHIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIkXxnP+cDXyox+c+vG75ih6fv9f2Bo7v\n",
       "8Tm/hb3zD9YPfL87fKpg7+2Ot/cAR/bhOiIi0kDat72j2mNcXpNynjsWH6O7xLy+m+jlsOEc+6XE\n",
       "6J7XLsO6q+3HtdMhLUX6Jqa+2UX64VhsPOIbsAFsJgDHYYnRTcABfj8H/BX4HdblJ1gf+X/3y/tn\n",
       "zjfNn+/nfl1aClDy574FuBn4QObcFeAsbBjEdLjEehV//quxnhG38uv3pjYxvgDYJnPtb/oYL8GG\n",
       "W7wc60Zyl8wxs7AE8E7gy5n1e/rr3YANyZj+hjyH5b5vZPSwn+/FegjLxp0mrM8BX/PHXQW82q8/\n",
       "FfgeVopxD7Bb5vgvUv17lP26EX8PTsPuZ7Zf63ofwu73LVS7Hm21/jng29g9+xPVLjkPxHqHuwnr\n",
       "9QtskJGrgB1aXF9ERMZJmnvO9uUOlngf4eeXwbo/HcES3OewYvnUiv5zGpYgpMv1OfN0eTes+8sS\n",
       "lojdjw1Y4bDhNlf3264E/q1BzJdhDwNgXR1f4uf3pjYxP59qYr6UapeR5/jrTwTeiCXQ6fEP+/in\n",
       "+u+yKVY0fp7fH6xLyo9mzrt7gxgBTgDeVxd3mpgvBXby89+geq9PBc708xtg3WGCJZIn+vkJ/rtt\n",
       "jf1NXga2aBJDes3Vsfu8sv8el2IPG83WpzGmVS9HUr2386jmwJfPXGsf/11E+qZd8aDIsKkvnt0B\n",
       "2IhqQrU8sC42itY1WAKQOgj4Dz8/C1iP1sXLW2FDISbYSFOXA5sD//LHPez3uxFLrBrVtZ/jP6/3\n",
       "+7SzGPijn78FWIglgv+oO/5i4OnMNbby+22KlT6APbQ86udfxkbxa2Q28EiLeH7v568D3unnE6qj\n",
       "Ad5GdYzsHfyUPnhMx/4eD2J/i1b3u4Td3wo2EhrAL7EHnaTJ+t9hiXn6YPELqvf8Zuzv99tMrGB/\n",
       "t4EaFEOKT4m5SHufoZrrTTlsDPDs8vZYEfNCLCc4tc15E0Y/PKRjQS/KrHuZ5v9XFzXY5yVqq9Cy\n",
       "cSzJzC/FEtN0vtk1Spm4TmN0gz6w79xqHOtmVXr18WRjWJyZz96nrwM/rjvPCLV/j2bqY2w2qln2\n",
       "OzdbvxOW4O+ClSi8AfsOE5ocKzJuVGcuUmsB1mAr9UfgU1QTmTnAsg2OWx7LyS4E1qe23ngJjRPK\n",
       "vwIfxP4froIlDNfQ/bCZc4GN/Xlm0bzouZV3YsXs07Di5r9hRc+7+1jBRst6bY5zpdUHvfBHbBSq\n",
       "6X55jUw87STY/d2WanH6HliOvNH6y/1xE4D3+/kPY3+3EvbdK9iwnzOBGX6f1agtsREZd8qZi5g0\n",
       "J3UTlsu9ETgFG3pwBCvGLmHF4bv6/bO5r4uATwC3Yg2xrsps+zFWJHsdVsecHncusKW/ZoI17HoM\n",
       "qyOuz9nlyeml+/wNuM/Hcpu/brPzJA3m00TvN1hDsp9j3x/gS1gR/ATsIeVTwANt4vsbsBmNi+Hr\n",
       "r98onuz8Jdj9Se/vAqxRXv2xzTyKJb6XYX/PC6i2kWi2/nnsgehLwHzsAWwSdl9m+v2/h1WP4Pft\n",
       "9I0IERGRQpuBNRyMVSevFk7AHgSVUZK+UjG7iIy357Ac79tDBzJGndR/7wycjbVbEBERERERERER\n",
       "ERERERERERERERERERERERERESmq/w+iY5TZiuVsXwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7532e6cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Inner loop: 1230 iterations\n",
      "g(Z) = ||X-DZ||_2^2 = 6.873128e+04\n",
      "rdiff: 0.00147064183027\n",
      "i(Z) = ||Z||_1 = 5.812102e+04\n",
      "j(Z) = tr(Z^TLZ) = 9.144260e+03\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfQAAAFRCAYAAACCB1/XAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmcHFW5//FPZxISDIEk7JDAsBg2EUFAUYSjKIg7yBVB\n",
       "lKgI192fXMWdEfcL6hURL4uAuLCKC4oKFxhEVPYAsgoSVtnDEgIhJOf3x3ParunpvavmdPf5vl+v\n",
       "enVXdXX10zVJP3WWOgdEREREREREREREREREREREREREREREREREREREJLIR4CcNXv87sEsBn1vU\n",
       "cUWkz02KHYBIj5oP3AA8DfwLOBZYLfO6b/L+FwF/6jKGU4CvFHBcERlASugi4x0KfDM8rgq8HNgQ\n",
       "uACYEvYpxQlNMibHDkBERHrXqsBTwD5V26cDDwHvDeuHA2cBpwNPAlcDL87svxDYLTwvAZ8Bbgce\n",
       "Ac4AZmX23Rn4C7AIuBs4EPgA8BywNMTz68xxXwOsByypOs62wMPAUFh/H3AT8BjwB2CDzL7fBR4E\n",
       "ngCuB7aqeTZgNnAycF84zi8zr30A+AfwaIhv3cxrK4BDgNvC9zombJ8KPF71eWuG77JGWH8TsCC8\n",
       "7zJg68y+C4FPh5ifCd/1PcBd2Ln9Aq2f++EQZ/n9DwOfy3zWpLB+O/Y3vgqYE17bHLvAexS4BfgP\n",
       "RESkp7weWEbt2qtTgJ+H5yNYwt0bSyqHAv+kkkzvxBIvwMexhL0eVsL/38xxNsSSxb7hvbOBbcJr\n",
       "JwNHVMWQPe6FwEGZ147EmgYA3ool283Cd/k8lhwB9sCS06phfTNgnRrfF+B3wGlYc8Nk4FVh+2uw\n",
       "BPgSYCXgaOCSzPtWAL8JnzEXuxjaI7z2I+CrmX0/DJwXnm+LXWjsgCXj94TvXK4ZWQhcA6yPXRxs\n",
       "iV3wvCLscyT2d2nl3A+HOI8Lx3ox8Gw4HwCfwi4cXhjWt8b+PtOBe7ALr0nhHDwMbDHu7ImISDQH\n",
       "YG3mtXwTOD88H8ESRVkJuB94ZVjPJt6bMs/BSrLPYQn8s8Av6nzeyYxvQ88e9/1YUi9//t1YaR/g\n",
       "91gJvWwS1h9gA+DVwK3Ay2jc7LYusJyxfQfKfoSdj7Lp4TuVawFWYEm27AzgsPB8N6zUW3YZdt4B\n",
       "fsj4i5hbqFxI3In1byj7EvCzzPrKWK1Gs3M/iUpCXy/z+uXAO8LzW4E3M96+jO/HcFyIRSQataGL\n",
       "jPUIVvVb6//GulhJrOzezHMf1tdjvGGsqnpRWG4CngfWxqpw/9lhrOcAO2Gl612w5PTn8NqGwPcy\n",
       "n/lo2L4ecDFWBf4DrDR8HDCjxvHnYtXsT9R4bV2smrrs6fAZ62e2PZB5vgRYJTwfBV4A7Iidm22o\n",
       "VOVviNV2LMoscxh7Xu+piiP7d3iGyneFxue+WZxzgDsYb0PsYigb4/5VxxSZcEroImP9FSvhvb1q\n",
       "+ypYdfyFmW1zM88nYQng/hrHvDu8d1ZmeUHY9x5gkzqxNOtJvwirMdgXSyinVX3mwVWfOR34W3j9\n",
       "+8D2WJX1PKx6udo9WBVzrRL6/ViyLJsOrI61tTezHDgT2C8s52IXBOW4v1YV9ypYCb8se17+RaVd\n",
       "G6yEvnpmvd65r1cLk3UPsGmN7XdjzQvZY87Amg5ERKSHfAorte2BtbsOY228V1Fpyx3Bqm73wtqW\n",
       "P0n9NvRPYKXicnX0msBbwvO5WBv6f4TjrE6lDf0bjK1Orj4uWPXwNVjNQrbz2Nuw2+62DOurUem4\n",
       "tT1WwpyCJeLfY538avltiGFm2L98D/xuWLv4Nlj78/cYWw29Atg4s34KY5sPdsSS6g2MrdZ+KZYw\n",
       "d8SaEaYDb6RSaq7+/lti528nrC3/W4xtQ2907odDnNmCzcVUmir+C7gOS+olrI19dohlIdZMMCUs\n",
       "O2Ad5UQkKGFX50djnWFEYnkflmyWYMn9h4wtqR6OlTKzvdxfknk9m3hKwP/D2oKfxNqPs53CdsZK\n",
       "zk9gyezdYfumwLVYSfycGscFmBaOeUON73AA1qmrfNwTw/bXYInqKawJ4SdYqbWWWVgyfgCrfj87\n",
       "89oh4bs8inWAy1aLL2dsQq/Vwe8f2IVI9e1newBXYN/7fqx0Pj28Vv39wTqnZXu530ulL0Ojcz8c\n",
       "4qyX0MudCf8Z3nt55jvOwy52Hgqf+3+MvctBJHl7YT8eRzH+P61IP7mLSgc1mTirYHcpbBg7EJHU\n",
       "HYbd2wp2j69IP1oLK9nPabaj5OLNWA3DdOy2tKvjhiMSx0R0ijsJ60lbXSX4eqwa7B9Ubme5Fxt0\n",
       "AqxtS6Tf7IDd7nQ0Y3tfS3HegnXGuw/rYPjOuOGIDK5XYYNFZBP6ENaWNYx1KFmADcqwMtbOdzTw\n",
       "wQmNUkRERJoaZmxC3wkbirLsM2ERERGRDsSa3GB9xg4OcS92G02r7qP2AB4iIiKD6A5qj4sw4YYZ\n",
       "W0J/O3BCZv0AbKCLVjUbcEO6NxI7gESMxA4gASOxA0jASOwAEtA078UaKe4+xo6yNRd1IOo1w7ED\n",
       "SMRw7AASMBw7gAQMxw5A4iX0q7AZjIax0Z32xQamEBERkR51Gjba01Ks3bw8n/Se2O09t2MzTrXD\n",
       "Y1U8LpcIpRYXO4BEuNgBJMDFDiABLnYAA8xh+W5gm5oH9ouJiIjU0LNt6NL7XOwAEuFiB5AA18a+\n",
       "j2E/nFq0xFoeo0OxblsTEelFs7AJXaQ9DpvnXrrnYwcw0ZL7wiIyIfTbIrHV+zfY9N9mP1e5j6Dq\n",
       "ShERGWyOAb/PX1fRxXOxA0iEix1AAlwb++q3pTMudgADJMkSuoiIVEwFbgTWbnH/jwDfLCiWUWDX\n",
       "BusxzAdObrDe95TQpZ7R2AEkYjR2AAkYjR3ABDkYuASbrnoD4Kkay/PAhWH/E4B3AWvm8NmjVevl\n",
       "Htu11rcFnsCmui17KbAoxF1tGJtOu/wdHgDOBV6b2edd1P6+K4Av1Im51dqYo4DbgCeBm4F319lv\n",
       "d+A54DJgWtVr84BfAw8Bj2KTk81r8fMHnqrFRKQI/fzb8ndsJst6Xowlpddkth0PHFpALBcDuzRY\n",
       "/xpwUXg+BbgOqzGoZRhLzOUC6FrAx7CEfWCDGA7CBjUr11jMZ2yJ/EBaK6GPUEm+O2K3lVWf5x2B\n",
       "R7B5Sn6FjXw6lHl9B2xQtZnY3WVHYBcHtXRc5d6vPOoUVzQXO4BEuNgBJMC1sW8v/2huB1yLJeUz\n",
       "gTOAr4TXNgCWUL/WdVWslPm5qu37U0ms3XBV680S+kpYQjsYOBy4tMGxhxmb0MsOxUrrtWyLJfzs\n",
       "Z1Yn8FYTerVfA5/MrG8G3EWlxmAIOB04qcExZmPfaVaN16r/DTo0Upx0ycUOIBEudgAJcG3s2+C3\n",
       "xR8PfhT8eeBndhZKx8dYCUsaH8USxl7YcNpHhNffiJXQ6/kFVk1dbTusCrie67Gq8FrLMZn9XNX7\n",
       "miV0gFcAj2PV742qn4epndA3Dts3q9o+E5tq9FNV2/NI6Ctjpf7dM9vmM77EPgn4OPW/19uwScpq\n",
       "SbKELiKSt0YJfRS8z3E5o424dmH8jJSXUkno7wL+Wue9hwL/xBJdtRdi7ep5ayWhrwY8TOPSOdRP\n",
       "6NPC9mwyLWHV3b+scZw8EvqPgfPafE+1Odjfct86r6uXu4hIwZaExyuBWVAqtb/w+8wxDmnjs9dj\n",
       "fInunszzRcCMGu/bGauu3QcrDVebgZWQY/g21olvLmOT22KsuvxJLPnVs354zA6VehiwBY3b1jt1\n",
       "JLAl8I4ujrEmcD7wA6zJRFAJfSK42AEkwsUOIAGujX0bldBnWqm60+r2ro6xK+NL6H+mUkKfAzzN\n",
       "2ELa2uE9H2hw3HdR6fVey43U7j3+FHBsZj9X9b5mJfTXYr3xZ2Mzbz5A7fZkqF9C/y/gX1UxPAls\n",
       "U+c43ZTQv4w1P9SLsRWzsD4QX2+yn6rcJXcudgCJcLEDSIBrY99e/W2ZgrWhfwTrJf1Wxrahg/UU\n",
       "L1c/D2FJ9NQmxz0eS4zdclXrjRL6dKwJYL/M6z8BTqlz7GEsoZd7ja+NnYcnsfZrgHWxi4L3Ul+n\n",
       "Cf2zWIfCVu/vr2VV4Arg+y3sm2RCH0E/hiKSr17+0XwpVsJ7Cuvl/gvG3mP9ISql5l2wJFiuvs4u\n",
       "N4R9pmHV9nnch16tUUL/HvDbqv1Xx0rsu9U41jCV+9AXh/1+y9iOaV9i7L3qtWoS5tNZQl8BPFN1\n",
       "zM+08L6sAxn/96jXpKBe7iIiOein35bLGdtWvBK9M1JcK53iJlpet60VTZ3iJHcudgCJcLEDSICL\n",
       "HUBOdgHWwarcDwRehI04VvYcsBVWgm3FMbRf0qzH1djWa9PQVsfTa/F1TfOhi4j0h82wqvbp2H3W\n",
       "+9B68o6h12o7Gg1Hu5ja8b4eG8pVCtRr/1BEZDDot0ViU5W7iIhIypTQpR4XO4BEuNgBJMDFDiAB\n",
       "LnYAooQuIiIiEek+dBEpgtrQJTbdhy4ikgP9tkhs6hQnuXOxA0iEix1AAlzsAHLyd8YOzrIlNslL\n",
       "q87GbsMqwoom680sxOZ0r7cuLVBCFxHpDy8C/pRZ/wo2AxjYJCu1hj1dQWV42G8BX52QSMeqNcHL\n",
       "UmB5Zp/q0mcrNSVTsIuUO7HvuWvXkUoUqhYTkSL0y2/LusCj2HCv9RwE3M/YoWBvw8aEz1s7JfTp\n",
       "wE3A4ZltdzK2RF69XssU4GPAK7HvGXto2bwkOTmLiEjeevm3ZSHwmvD8Pdi82vVsi5WEq5Pc8dhE\n",
       "JnlrJ6Gfztgha6GzhJ51D0roGvpV6nLAaOQYUuDQeS6aI49zPMLxwDxgCbA/Izw+wcfI/qBvDdxa\n",
       "Z7+ZWFX0EYytoge4Gdi5zvs2wKZgreeDWDLuxseAlwPbdXkcqUEJXUSkNfOotNMuYqTr4x0H7Nvh\n",
       "e1fDqtyrlbA50K+n0r6etRhL+LXcDczqMJ5WvBz4GjZF6mMFfk6ylNClntHYASRiNHYACRjN6ThL\n",
       "wuOVwO4dltDPA/YMxziki1gWATNqbD8M2IL67eQzoIO4u7cGcBY2u9sVET4/Cf3cy32EwbkdRUR6\n",
       "3/7YbGedJfP8jgFWAp9Xtc0Bn8NmYXuyzvu2ABbUeW0DaveULy/7dRjrJODnwKXADzo8Rsoc5FAf\n",
       "1MN6uePKoHCxA0iEix1AAlwb+/byb8udVDrFrQ08QqWX+7rAA8B7mxzjVmD7AmJr1CnuCKxX+/QG\n",
       "7++0U9xUYBrWKe514Xm/08AyIiIJeRC4CHhbWP8AsBZwNONL1seGfXYI61dNaKTweWAj7IIjG9eT\n",
       "wJwuj30r1hSyHvBH4Gk0IE3f6eWraBHpX/3027IF7bVH9/JIcd3etjZIdB+6iEgO9NvSGSX0/KjK\n",
       "XXLnYgeQCBc7gAS42AEkoJOhW1s53ueo3UHvd10eX3qIrqKL52IHkAgXO4AEuDb21W9LZ1zsAAaI\n",
       "qtxFRHKg3xaJTVXuIiIiKVNCl3pc7AAS4WIHkAAXO4AEuNgBiBK6iIiIROTR0K8ikj+1oUts1f8G\n",
       "HZbvBvbf5sB+MRGJqtd/W/5OZd7vLbFJXlpV5MAyrdoD+GXkGNoR45ypl7vkzsUOIBEudgAJcG3s\n",
       "20+/Lb8A3hGev4va92uvAL4Q9tmBYoZ9nY9NFtOKq4Adw/Na95gvxmI+oOp9c7Hx2h8ENq16bTFj\n",
       "v++SzPr+WOn2JzViiXnOGlFCl9y52AEkwsUOIAGujX375bdlXWw+9JUa7HMQcD82kUvZbdSfWrVT\n",
       "82me0CdhyfG2Jvt9FbgBWDmzbXXg5vDaYcAdwDp13p+dwKbscGon9Fom6pw1ooQuIpKDXv9tWQjs\n",
       "BrwHuKDBfttipc1dqrYfD3wpx3i2AJ4Bng+f91jYfgrwQ+A8rAS9W/jc4xsc6w3AE8BmmW3Tgb9h\n",
       "E7yUfQy4Bli1xjFqJfQRWkvoE3XOmtF96CIiRfJwvIdRD+d5mBnpGOUf9RdhM43VMhNr+z0C+FPV\n",
       "azcD29R53wbAogbLO2u852bgP4G/AjOA2ZnX9gO+AqwC/LlJzMPAqVgJObvPDsD3gK9lth2NldZf\n",
       "XudYnej0nPWUybEDkJ7lgNHIMaTAofNcNEc+53gesGt4viiHovxxwL4dvncmVuVerYQlxuuBI2u8\n",
       "vpj6FxJ3A7M6iKUErFa1zQO/whI9wNLwuU/VeP9ULJn+FDir6rXROp95Tgdx1tPNOespKqGLiLRm\n",
       "SXi8EphVglK7C/D7zDEO6SKWRViJuNphWDX4gXXeNwN4vIvPbcc9VeuLqF1N/j0s4R9aeES19dI5\n",
       "64oSutQzGjuARIzGDiABozkdZ3/gTGD3Uuc/8Hkcw2OlyXlV2x3Wc3wf4Mk6790CWFDntQ2o3eu7\n",
       "vOzXIJ4nWoi7VszvBvbCeusvb+EYnWhUmeLo7pxJDnq944qI9Kde/20pd/paC3iESi/3dYEHgPc2\n",
       "ef+twPY5x7RHiGtKZtspWPt51raMbR9/EXah8NocY6nXKe5nWNX+tLBMJe45a0Sd4iR3LnYAiXCx\n",
       "A0iAix1AAR4CLgLeFtY/gCX5oxlfsj427LNDWM/7vuqLsMT4QIgLLPlUJ6BrsZJ8+T70T2K3p/2y\n",
       "RsyfyTE+j9UuPIM1mywBbsc64MU6Z5LR61fRg8DFDiARLnYACXBt7Nvrvy13ATuH51sAV7Tx3iJH\n",
       "PXMt7vc6NFJcM7oPXUQkB73827IWVrqcEzsQKZQSuohIDnr1t2UHrJf4N2MHIoVTQpfcudgBJMLF\n",
       "DiABro199dvSGRc7gAGiTnEiIiLSf3QVLSJF0G+LxJZkCX0EVfOIiMhgc1i+G1i6ii6eix1AIlzs\n",
       "ABLg2tj3MSr3UGvREmMpz1hXzdfZ/m+anEVEpGJ2812kBoeGMZYONb1SERERGSBN814/t6GLiIhI\n",
       "oIQu9bjYASTCxQ4gAS52AAlwsQMQJXQRERGJSG3oIiKSErWhi4iIpEAJXepxsQNIhIsdQAJc7AAS\n",
       "4GIHIEroIiIiEpHa0EVEJCVqQxcREUmBErrU42IHkAgXO4AEuNgBJMDFDkBaT+jDwGvD8xcAqxYS\n",
       "jYiIiBTmYOBK4I6wPg+4MF44gNrQRUQkLbnkveuAqcC1mW035HHgLiihi4hISnLpFLc0LGWTWzmw\n",
       "9D0XO4BEuNgBJMDFDiABLnYA0tp86JcAn8fazl8HfAg4t8igWuMfBE7Dag5uBG6G0tNxYxIREYmj\n",
       "1MI+Q8D7gd3D+h+BE4lbSvfh4/+OVf9vhbXtP4Al95vC443ALVBaHClOERGRPHia5OxWEnov8uCv\n",
       "BHaH0uNh02RgY2BLLMFvFZ7PAx5kbJK/CSvRK9GLiEg/yCWh31nnwBt3ElFOPPhZlWTecNfJwEaM\n",
       "TfJbAZthiT6b5MtV90r01iY2GjmGFDh0novm0DkumkPnuGhNE3orbeg7ZJ5PA/YBVu8iqEYc8BWs\n",
       "Kv10rP2+jlaSOUDpeeAfYflVZbsfwi5Kykn+dcAngHngH2J81b0SvYiI9KxOq9yvAbbLM5BgF+Az\n",
       "WFv416jc+16t6ZVK5/6d6Kur7jcDHmJ81f1NSvQiIlKwXKrcX0qlA9wkYHvgg8A2XYVWPx4PrAV8\n",
       "Bzigzn4FJvR6/BD1q+4fZnzVvRK9iIjkJZe8NwpcHJYLgBOwJNaqk7C26urBaF4P3IJVhR9W9dpK\n",
       "wFkNjtlD98H7IfCbgn8r+M+C/yn4a8EvAX8X+PPAHwX+veB3BD8jdsQtcrEDSISLHUACXOwAEuBi\n",
       "B5CApnmvlTZ012UQJwPfB07NbBsCjsHGh78PG1r2N8DmwB7AzPCePlBaDtwell9Xtv+7RF8uye8G\n",
       "fBTYHPzD1K66f2oiIxcRkcHRqPh+aHisviooV4t/p43PGcYGo9k6rO8EHI6V0sHazQG+2eLxIlS5\n",
       "58UPYeejuup+c+ARalfdK9GLiKStq17uM6hdxC/V2d6O9YF7Muv3Ai9r8xinAAvD88eBBVRum3Dh\n",
       "sQfXS8uBucCTwDcqr0+bBM/cBWwFx74JZr8T3rkGsDn88SlYvBD2/jNwIxw0FUbvgjvOi/99tK51\n",
       "rWtd6wWsl58P02OGGduG/nasLb7sANqrYu+hNvSi+SHwm4B/M/jPgP8J+KvBPw3+bvB/AP9t8O8D\n",
       "/3LweU1t63I6jjTmYgeQABc7gAS42AEkIJc29JWxoV+3DM/LB31f53FxH1ZKLZuLldJlnNJy7Pa9\n",
       "Oxgzhr4fAjakUnXvgA9jbfSPUXvAnCcmMHAREekxZ2ODvfwTOBDr6X50m8cYZmwJfTKWoIaxHu0L\n",
       "gC3aOF5CJfR2+UngNw4l+sPAnwr+qlCivyeU6L8D/v3gdwK/WuyIRUSkqVzy3oLweH14nAJc3sb7\n",
       "TwPux6ZgvQd4b9i+J3Ar1jv8s23G5IERVM3Thn8n+jeFRP/jqkT/x5DoDwL/K/CXgf89+JmxIxcR\n",
       "SZjD8l3ThN5KT/ErgB2BS7GpUx/AEvrGHYfXvT7u5d5r/CQqVfflHvd7w+gq4Xrpeexv/nhmWVS1\n",
       "Xm/bE1BaMYFfph85NAZ20Rw6x0Vz6BwXLZex3E8AZgNfwO4VXwX4YtehSY8orcAm4LkT+K1t82ti\n",
       "NShXAntj/4hmYeMDZJdZWP+HrTPr2ddngH+K9i8EytsWQ0nNKyIiLWillDsZK6X1EpXQC+VnAscB\n",
       "h7Q+CU7N4wwBq1L7QqDRennbNOAJaif+Vi4OntEFgYgMiFzGcr8b+ANwBnARvdEhTQk9CX4KsBqN\n",
       "k36jbZNor0agalvpuQn4kiIircgloU8H3gS8E5th7VwsuV/abXRd8MCXsTab0YhxDDJH359bP43x\n",
       "Cb+dGoJldN5c8ESYurcZR9+f557n0DkumkPnuCguLIeTQ0LPmoXdsrY/Nh57LCqhF8+R9H9QXwJe\n",
       "QGcXAjOxmoUlNE76u8Mf5sDrF2EDKz2G3Q3ybAuPz6nDYcscSf9bnhAOneOi5VJCB/tj7YuNvX4l\n",
       "VkL/RTeRdUkJXXqcn4R1IG2U9N8PzAlvuBu4GpiK9R2o9Vj9fBmtJf+lLe7T4XtKy3M5ZSLSSC4J\n",
       "fSF2L/oZWHV7L8zxrYQuA8CfR+Vugt3b64DoS9igTPWSf62LgDz3zT6uYEIuHJq+Z5k6QcoAyyWh\n",
       "r4b1NO4lSujFc6gKrWB+Jpx5Drxj7+7uJojJl7A7YYq6YGhn3yHGJ/qZcNFUeM0ybLTLpdhdO8vD\n",
       "YxHPizx2o+crIl7QOPR7UbRc7kPvtWReNoI6xUlfKz0OHAH79mkyh5BAloUlcu2dH2L8RcCZMGmH\n",
       "sP4wNp7G5LAM5fR8Wg7HySOWSeBjXFTsAuevA7svBn6PXTRJbk6ZAzfs0sqM5f1aylUJXURa0E2z\n",
       "Rr/xJfK7SGnn+SeATUMQC4BTC/2aafowlDZhQPOe2slEpAV+JvgzNCdBkfx54D34K3Sei+LPI6e8\n",
       "Nw14F/B57D64w4Ev5XHgLiihF8/FDiARLnYACXCxAxhsfiaccZGSeZH8THKaD/3X2D2zV2OdTERE\n",
       "RIJB6AvS6/JrKvp7XgfKkUroIiKSkqZ5b1ILB/kL8OLuY8ndCKpKExGRweawfNdUKz3mbsZ6MN5J\n",
       "5XYET9wkr17uxXPolsCJ4Ej9PI9Q7p1dvUyqs73RUv2e/+I2NmMejwH/jQ3HOwn7/Wj1sZ19Uzz2\n",
       "JvyTVdiY54DbsVvaJF8bMcJa5HAf+p7hsVzcVyIVacUIkxg/AEp2+Ry3sWUm2TxLvsmsX95Twkab\n",
       "W15jqbe90ZJ9zzZMYSawCTZe/rXYb9mKFh/b2bfdx+zz5QUeu8i4VwDHUGJbbO6DJ7B7/SVfxwJr\n",
       "NduplYS+EHgJ8CrsD3gpcF03kUlfGI0dQFes1DeF2om0vOT9WvX2KcBzWKKuXpYCmzGP1agkm2vI\n",
       "L5GVx3lv5z2dfE4e71vBSEH9YkY4j40y96GPoI5beRvhATYC7Bzvo3NcgBEeaGW3VhL6x4EPAOdg\n",
       "V9I/BU7AZl0TqW2E8qhdE5FI6732PJUhQOsl1Wbbn2xh/3qvPdcwUY0wdtAT/RAWYX/gOOAQnd/C\n",
       "6BwXb39slsaGWqk+vwF4OfB0WJ8O/A3YuuPQuqc29LyNMBnYAOsv8UVu54VsyhLgQuxct5tkh4Bn\n",
       "6D6hdvqepYz0eFveCDO5kXPYir31Q1goR7/XOPU+h85x0XIZyx2sqqzWc+knI6wEDGNJu3rZAHgA\n",
       "69SyCUOsHd61HdZ+025Cfb6watRBYUn8CM5SMheR7rVSyv0kMJ9KlfvbgFOA7xYWVXMqodczwjRg\n",
       "Y2on7fWAe7GkXb3cyUi4i0FVwSIivSaX6VMBXgrsTKVT3LXdxdU1D3yZVGdbG2E61pGqVtJeC+vI\n",
       "WCtp38UIy1o4/kzUJiYi0gtcWA6ni4S+KtYhaHbVvuVq1Mc6Dq97g19CH2E1aifsTYCZ2NzOtZL2\n",
       "PTm1HTtSvFiaeA6d56I5dI6L5tA5LlpXbeinAW/EbqWp1Ra6UedxSbitaja1k/amwMqMTdSXAT8O\n",
       "z+9nRH0ZRESkol9Luf1RQrekvRb1k3aJ2qXs24EH1alMRESCXNrQLwR2a2HbROqdhG6jga1L/aS9\n",
       "lPpJ+1ElbRERaUFXVe4rY0P5rUmlHR2sbX39rkPrJzZIyhzqt2k/ydhE/YvweAcjzQcD6FEOtYlN\n",
       "BIfOc9EcOsdFc+gcR9cooR+CjRK3HjYXetlTwDFFBhWFDayyIbWT9kbAI4xN2pdTSdpPxQhZRESk\n",
       "rJVq649i40z3ks6q3EeYSuOBVf5F7arxfzLCkhziFhER6UQuI8V5YBaVcWRnAftho4f1nhFWpvHA\n",
       "KvcwNln/keqBVURERPpMK6Xc64BtqrYtwGZgi8WzBsexFf/i1Sxl7CAra2Jzt9cqad/d0sAqAmoT\n",
       "mygOneeiOXSOi+bQOS6Ko8WBZVopoU8KS/m+5yFsWsi4PsL+wJ+Am4GrgNOxpH1vz0/KISIi0prR\n",
       "sByex8GOAs7EblN7LXAW8O08DtwFzwieEc6IHIeIiMhEaHqLcysl9MOAg4EPhvULgBO7CCovV2I9\n",
       "8UVERKRP+TCBiBTHxQ4gES52AAlwsQNIgIsdQAJyKaHvjNXdD2f291hP8ng0C5iIiEhbbsXmxl4b\n",
       "WCOzxKTp94H+AAAWz0lEQVThUkVEJCW55L3L8zhIzpTQRUQkJU3z3qQWDnIxcCSwE7BdZpHB5mIH\n",
       "kAgXO4AEuNgBJMDFDkBaa0N/OXZlsH3V9lfnH46IiIikRFXuIiKSklx6uR9OZVD47AGP6DCovIxQ\n",
       "GUFHRERkEDlabNJopQ396bAsxoZ/fQN2C1tsIyiZF8nFDiARLnYACXCxA0iAix3AABvF8l1TrZTQ\n",
       "j6paPxI4v714REREpNfMxiZBiUlt6CIikpJc2tBvyDyfBKxF/PZzERERadFG4XFDrM18GJhDL0yd\n",
       "qhL6RHCxA0iEix1AAlzsABLgYgeQgK4Gljk7PJ4ELAzLvcCybqMSERGRfJUavLYAm/v8g8B3qvb1\n",
       "YVss5dvoREREUtA07zUqob8TWA4MATOAVTLLjJwCFBERkQnyhtgB1KA29OK52AEkwsUOIAEudgAJ\n",
       "cLEDSEAuk7Ocl0MgIiIiIuOohC4iIinJpYQuIiIiPa6VhD4d+CJwQlh/IfCmwiKSXuFiB5AIFzuA\n",
       "BLjYASTAxQ5AWkvoJwPPAa8I6/cDXyssIhERESnE1eHx2sy262IEkqE2dBERSUkubehLgZUz65uE\n",
       "bSIiItJHdgcuAR4Gfg7cBbw6akR2pTKC2m2K5GIHkAgXO4AEuNgBJMDFDmCAOSzf5VYzvQbWEe5N\n",
       "wJp5HbQLqnIvnosdQCJc7AAS4GIHkAAXO4AE5JL3zgX2x3q79woldBERSUkuec8BP8Sq2s8G9gGm\n",
       "5XHgLiihi4hISnLNe5OB1wFnAk/meeAOKKEXz8UOIBEudgAJcLEDSICLHUACmua9yS0eaGXgLcA7\n",
       "gO2AH3cRlIiIiERwJlbdfhzWu30objiASugiIpKWXPLeHvRGEs9SQhcRkZR0NbDMbuFxFeCtwN5h\n",
       "eXt4lMHmYgeQCBc7gAS42AEkwMUOQBq3oe8CXAi8mdpXBucUEpGIiIgUYuMWt00kVbmLiEhKcsl7\n",
       "19TYdnWNbRNJCV1ERFLS1W1rWwBbAjOxNvNSOOCqxB9YRorngNHIMaTAofNcNIfOcdEcOsfRNUro\n",
       "87D289XCY9lTwAeKDEpERETyt1PsAGpQlbuIiKQkl7x3KlbtXjYLOCmPA3dBCV1ERFKSS95b0OK2\n",
       "iaSEXjwXO4BEuNgBJMDFDiABLnYACehqYJmyEjA7sz6b3hs5TkRERJp4D3Ar8BXgq+H5e6JGpBK6\n",
       "iIikpWneK7V4oK2wiVkALgJu6jSinHhaj11ERKTfNc17rVS5g1WzPw0cAzwMbNRdXNIHXOwAEuFi\n",
       "B5AAFzuABLjYAUhrCX0E+DTw2bC+EvDTogISERGRYlyHJf5rM9uuL/DzpgNXAm9ssI/a0EVEJCW5\n",
       "9HJfCqzIrE/vOJzWfBo4o+DPEBERGSitJPSzgOOwwWUOxqZUPbGgeF6Hdbh7uKDjS+tc7AAS4WIH\n",
       "kAAXO4AEuNgBSOOx3MuOBHbHxnCfB3wRuKCNzzgJqz5/CNg6s/31wP9g97SfCHwL2BWrAdgSeAY4\n",
       "D1Wvi4iI9IRXAdsCN2S2DQG3A8PAFGzkuS0yrx8IvKHBMZXkRUQkJV3lvcvC42KsdJ5dngQWAh9u\n",
       "8VjDjE3oOwF/yKx/JiytUkIXEZGUdDUf+ivD4yp1Xl8d+AvwgzaDAlgfuCezfi/wsjaPcQp2UQHw\n",
       "OFbKHw3rLjxqvfP1l2BNIr0Sz6Cul5/3SjyDuP4J9PtQ9Lp+L/JfLz8fJmfbAR8HPhqel63X4vuH\n",
       "GVtCfztwQmb9AOD7bcSjEnrxXOwAEuFiB5AAFzuABLjYASSgqxJ62ZeA/wDOwYadOxk4Gxvb/f4O\n",
       "A7sPmJtZn4uV0qV3jMYOIBGjsQNIwGjsAAaNtzukVsL6QB0DbIp1ZP5PrElW8nVUK2Odt7LPbcCL\n",
       "gWfD+srYYDPz2ghmGDiXSi/3ydgkL7thFwVXAPsBN7d4PI3lLiIDw9vv2RCWJOstU5q8nuc+zfYb\n",
       "Ap4LyzQqhcOlKKEXYWbJ/h4N814rJfT7sCReTujTaK80fRp2O9rqWLv5l7BS/keAP2L/MH5E68m8\n",
       "bAS78h5t833SGofO7URw6DwXxsMJv4GXvQUexH5znmXikl67+ywHllFJlPWWZvtUv764zfe3ss/y\n",
       "UqgC9nDeKOzpbITP3UvWp0ny4z5oTdSbNtuxUbYvt2nPBXYEzg/rr8NK1Ht1E2GXVEIvnkOJZiI4\n",
       "dJ4B8JbUVgnLjMzzWuutbpsyCiVnH/EsNh5GXomy3dcb7bOsNHZEzr7hYeaZcM47YG8l82J4K6Ev\n",
       "oknea/TifMYmzurnP+4yxm4ooYtEVJV8u0m42W1DVG6NXVy1VG9rdZ9fAXui0qP0v6Z5r5WkuDJW\n",
       "1PfYYDDPNt59Qiihi7SoRvLNoxRcTr6dJNl6+zxXyvkOFm9DVh8HHKJkLn2uq4Q+Bfga8D7g7rBt\n",
       "A6z9+3NY1VEsSujFc6gqeCI4MufZW7+WvEq85WUy+ZR2s+tL806+BXLo33LRHDrHRWua9xp1ijsS\n",
       "+zHYCPvPDLAq8G3gKOy+9JhGUKc46XHearjWzyxzMo+vvBBW283+oz6DzWMwhdaT7CPY4ErNEnE/\n",
       "JV8RGcvR4n3+jbL97ditadUdNYawW86a9rgrkEroElW4zWgWY5N0dcJeH7sovh+7W+Te8Fh+/lls\n",
       "hC2AX2O3bj6r5CsiNXRVQl9B7V6Xy+tsFxkIodp7Heon6fKyjPFJ+mosOZe3PVKv97K3jqcvwTps\n",
       "zS9ZKV1EpCONEvrN2Kxn1b3Z3w3cUlhE0iscA9ic4eEFNC9Vrwk8yvhS9Y3ZbSWr0u7G/rrdZ0I4\n",
       "BvDfco9x6BxH1yihfxgb7vV9WKkD4KXYD2LMe9BFxglV4KvTuFQ9B2vTvo+xpeo7gEsy2/5VmoBO\n",
       "nyGJH7GvkrmI5KBZO3QJeA2wFVZ/fxNwYdFBtcADX0ad4pIQbrtah8al6vWwWyqzperq6vD7gEfV\n",
       "Ri0ifcSF5XByuA+9F6lT3IDw1mmsOklXJ+w1sBG+6iXp+7Aq8KcnOn4RkQmSy8AyvUgJvXiOLmo/\n",
       "QhX4GtRO0tnnU6mfpMvPHyjB853G0uMcqmUqmkPnuGgOneOiddXLXaQmb5NJrEvjUvV6WKex6iT9\n",
       "F8Ym7EWqAhcR6V6/lnJVQi+Qh5OA7bBz/Bsqnc3KCXs2NntVo1L1/SVYMuHBi4gMpoHNeyrR5cxD\n",
       "ycMrPJzgYZkHH5abPXzEw14edvSwnrfBhUREZOIMbN7z2NCvLm4Y/c/DOh4+7eEWD7d6OMzDhRdb\n",
       "Mr8iTG4hxXGxA0iAix1AAlzsAAaYw/LdQCd06ZCHKR7e5uE3HhZ5ODGUzkvh9ZlnwEVK5hPCxQ4g\n",
       "AS52AAlwsQNIwMDmvYH9YkXysKWHozw86OFPHuaH28ZERKS3DWzeG9gvljcPq3k42MPfPNzn4eve\n",
       "Jt0REZH+MbB5b2C/WB48TPLgPJzq4XEPZ3t4g2/vNkVXVHwyhosdQAJc7AAS4GIHkICmeU/3oQ8Q\n",
       "D3OxCXXei90y9iPg0BI8HDUwERGROlRCDzxM9fAOD3/w8KiHYz1s7wf0fkURkUQNbN4b2C/WKg8v\n",
       "8XC0h0c8/J+H/b3NJCYiIoNnYPNekvehe5gdBnm5xsNdHkY8bFTQx7mCjitjudgBJMDFDiABLnYA\n",
       "A8yh+9AHg4chD7t7OD10cPu5h9d6mFTwR7uCjy/GxQ4gAS52AAlwsQNIwMDmvYH9YmUeNvZwhIe7\n",
       "PVzl4UMeZsWOS0REohjYvDeQX8zDCzwc4G2Utoc9/I+HbWLHJSIi0Q1k3oMB+mJhUpQdPfyvh8c8\n",
       "nOdhH2/zhMfkIn9+KlzsABLgYgeQABc7gAToPvRe5WEt4N3A+7DkfRLw4pJNPyoiIpKEviyhe5js\n",
       "4c0efhk6uJ3sYRfdMy4iIk30Zd5rRV99MQ+be/iWh395+IuHgzzMiB2XiIj0jb7Ke+3o+S/mYYaH\n",
       "93u4zMMDHv7bwxax42qDix1AIlzsABLgYgeQABc7gAQMdBv6CDAalp4Qqs53xtrF98Ji+xbw+xIs\n",
       "ixiaiIj0J8eAXzD1VAndw/oePuvhNg83eTjUw9qx4xIRkYHRU3kvT9G/mIeVPLzdw+/C7WbHeXiZ\n",
       "OriJiEgBoue9okT7Yh629vBdDw95uNjDuz1MjxVPgVzsABLhYgeQABc7gAS42AEkYKDb0CeMh5nA\n",
       "fljb+DrAKcBOJbgjZlwiIiL9rvASuodJHnbz8LNwz/gZHvbwMFT0Z4uIiFRRlXsHB97Qw+EeFnpY\n",
       "4OGjHlYv6vNERERaoITe4sFW9rCfhws8POLh+x62zfMz+pCLHUAiXOwAEuBiB5AAFzuABKgNvZ7Q\n",
       "G307rF38ncBVwInAr0vwbMzYREREUtFxCd3DGh4+7uE6D//08EUPG+QZnIiISM5U5R52HvKwp4ez\n",
       "Qge3n3h4tYdJRQUoIiKSo4FO6CM0abfxsKmHr3m418PlHg7xsNpEBDgAXOwAEuFiB5AAFzuABLjY\n",
       "AQwwh+W7gU7o9V6Y7uFAD5d4eNDDtz28aCKDGxAudgCJcLEDSICLHUACXOwAEpBGQvdQ8vAKDyd4\n",
       "WOThXA97eVgpVoAiIiI5GuyE7mEdD5/2cIuHWz0c5mG92MGJiIjkbHATeqhOf9zDiaF0rklR8uVi\n",
       "B5AIFzuABLjYASTAxQ4gAQN9H/pawDklOCh2ICIiItIZ7+GKMGmKiIjIoBvoKnclcxERScXgJvTY\n",
       "ASTAxQ4gES52AAlwsQNIgIsdQAKa5j2NlCYiIiLRqIQuIiIpUQldREQkBUroUo+LHUAiXOwAEuBi\n",
       "B5AAFzsAUUIXERGRiNSGLiIiKVEbuoiISAqU0KUeFzuARLjYASTAxQ4gAS52ANLfCX0E/SMSEZHB\n",
       "5rB8N7DUhi4iIilRG7qIiEgKlNClHhc7gES42AEkwMUOIAEudgCihC4iIiIRqQ1dRERSojZ0ERGR\n",
       "FCihSz0udgCJcLEDSICLHUACXOwARAldREREIlIbuoiIpERt6CIiIilQQpd6XOwAEuFiB5AAFzuA\n",
       "BLjYAYgSuoiIiESkNnQREUmJ2tBFRERSoIQu9bjYASTCxQ4gAS52AAlwsQMQJXQRERGJSG3oIiKS\n",
       "ErWhi4iIpEAJXepxsQNIhIsdQAJc7AAS4GIHIEroIiIiEpHa0EVEJCV914a+OfBD4Ezg/ZFjERER\n",
       "kS5NwpJ6PSqhF8/FDiARLnYACXCxA0iAix1AAvquhA7wZuB3wOmxA0ncS2IHkAid5+LpHBdP57gH\n",
       "TERCPwl4ELihavvrgVuAfwCHZbafC+wJHDgBsUl9M2MHkAid5+LpHBdP57gHTJ6AzzgZ+D5wambb\n",
       "EHAM8FrgPuBK4DfAWsDewDTg4gmITUREZCBMREK/FBiu2rYjcDuwMKyfDrwV+CZwyQTEJM0Nxw4g\n",
       "EcOxA0jAcOwAEjAcOwCZmIRey/rAPZn1e4GXtfH+O1DHuImgZo+JofNcPJ3j4ukcF+uOZjvESujd\n",
       "JuNNc4lCRERkQMTq5X4fMDezPhcrpYuIiEgPG2ZsL/fJWPXBMLASsADYYsKjEhERkZadBtwPLMXa\n",
       "zd8btu8J3Ip1jvtsi8eqd6ub5KfebYaSn7nYXRw3An8HPhY3nIE0DbgcKyzcBHwjbjgDbQi4Frvl\n",
       "WIqxELgeO89XxA0lH0NY8h8GpqBSfVFeBWyLEnqR1qEyEMcq2IWt/i3n7wXhcTLwN2DniLEMsk8C\n",
       "P8NuPZZi3AnMbrZTL44UV0/2VrdlVG51k3xdCiyKHcSAewC7IAVYDNwMrBcvnIG1JDyuhBUIHosY\n",
       "y6CaA7wBOBEoRY5l0DU9v/2U0Gvd6rZ+pFhE8jKM1YhcHjmOQTQJu3B6EGviuCluOAPpu8CngBWx\n",
       "AxlwHvg/4CrgA/V26qeErvvOZdCsApwNfBwrqUu+VmBNG3OAXdAEInl7E/AQ1q6r0nmxXold+O8J\n",
       "fBhrGh2nnxK6bnWTQTIF+AXwU+BXkWMZdE9gEz5tHzuQAfMK4C1Y++5pwGsYO8S35Odf4fFh4JdY\n",
       "E3Rf061uE2cYdYorUgn74ftu7EAG2BpUJgxZGfgTsFu8cAberqiXe1FeAMwIz6cDlwG7xwsnP53c\n",
       "6ibtqXeboeRnZ6w6eAFWXXktdkum5Gdr4BrsHF+PtfNKcXZFvdyLshH273gBdpurcp+IiIiIiIiI\n",
       "iIiIiIiIiIiIiIiIiIiIiIiIiIhIHOVhWDcE9sv52J+rWr8s5+PnbT7w/ZyPeRSdD8O6K7BTl58/\n",
       "TP4DJ03FBq/pp9E3ZcDoH5/IeOV5AzYC9m/zvZObvF49KMQr2zz+ROt2DoXq35gZ2Ljqox0e79XY\n",
       "kKPtaPY3ycNSbKbCt03AZ4mISIueCo9/Ax7HRnL7OJacjgSuAK4DDg77OezH/NfALWHbr7CZkf5O\n",
       "ZXakbwLPh+P9JGwr1waUwrFvwEY2e0fm2KPAWdg0qz+tE/NoOP7l2GiK5bm/5zO2hP1bLKGWP/u/\n",
       "Q4wXAC8HLsGGWH5z2OfA8F0uBm4DvpQ51gHh864F/pdK8l6MlcIXMD75HgB8PbO+Gzai2/XAj7Bh\n",
       "ncGmSS7P/7x9+PwNsTGt7w2f+UpgTWyCmyvCUv68Eewc/xmbqztrmEoJfRpwcvj8a6jUHNTbPh/7\n",
       "O9c6Hy/D/k4iItIjygm9enzqg4HPh+dTgSux5OCwJLZhZt9Z4XFlLHmU159irPL624HzscS+FnAX\n",
       "sE449uPYfOkl4C/ULtVfjF0QgA2RfEF4Pp+xCf1cKgl9BbBHeH5O+Pwh4MVYwiy///4Q/7TwXV6K\n",
       "zaPwm7A/wLHAuzPH3adGjAA/BPYOz6cBdwObhvUfYxdOYBN+VCd0gMOBT2aO93Mq52MDKlOkjmB/\n",
       "n6k1YhimktAPxebyBtgMO+9TG2yfT+3zQXj9vlpfWmQiTERVlEi/qp4ScndsjPBysloVS0bPY6XD\n",
       "uzL7fpxK9etc4IVhn3p2xpKTx6akvATYAXgyvO/+sN8CLCHVans/JzxeE/Zp5jngj+H5DcCzwHKs\n",
       "xJ59//nAosxn7Bz2eylWCwF24fJAeL4cm0mulnIpGyxR3onNzQCW0D8MfK9J3Nm/y2sZO0nTDGwC\n",
       "C49dcCxtcqxXAkeH57dif8N5DbZ7ap+Pq8NnTcIS/bNNPlckd0roIu35CJXSb5kDnq5a3w2rwn4W\n",
       "K11Oa3Jcz/gLiHL7dTYpLaf+/9ulNfZ5nrHt2Nk4lmWer8ASfPl5vc8oZeL6MeM7+YF950Zt7/X6\n",
       "7mSPnY270bkrYVXdz9V4bUmD91Ufo53t1fusqFrvtt+BSEfUKU6kvqeoTFsIVpr9EJVkNw+b2rDa\n",
       "qlgJ7llgcyyxly2jdrK8FNgX+z+5JlYtfgWtJZVGFgIvCceZS2fzKL8Oq2JeGXgr1i59IVZTsWbY\n",
       "ZzZW5d1MuSkBrOQ7DGwS1t+N1UyU4y7PX/72zPur/ybnAx/LrG/TQgxZlwLvCs/nYd/hlgbbS4w/\n",
       "H+XakqnYxVSzWgGRQiihi4xXLmFdh/1AL8Cq0E/E2mivwaqof4glZ8/YUtkfwvabgG8Af828djzW\n",
       "0arcKa78vl+G7ddhyfJTWNV79bGpsd7oO/wZq9a+CavKvrrBcXyN5x67sPhFiO1s7PvfDHwBS6jX\n",
       "hcd1ahyn2p+pJOpnsel5z8K++/NY5zqAL4d4rwzby8c8F9iLSqe4j4XjXQfcCBzS4PvV+q7HYr+D\n",
       "1wOnY50AlzXYXu98AGzL2L+1iIjIwFoFS9L9aj7178v/OnaxIRKFSugiMpEWY30KXh07kA7VqjEB\n",
       "q27fGbvFT0RERERERERERERERERERERERERERERERERERKTf/X8kxc0NmqHo3AAAAABJRU5ErkJg\n",
       "gg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7578aedd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Global objective: 1.359966e+05\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAgYAAAFRCAYAAAAPXGVyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XuYHFWd//F350II1ySAGEhgAEFlFUEQUEEPooB3vC3B\n",
       "lUtQYBcX/AnLsoAIiOJ6F3ABV8V44yqKukYEhbgoC1EgAYSYhICQIFcFAeWa7++P7ym6etIz3Zmp\n",
       "ntPd5/N6nn6mqrqq+jMVmHP61KlzQEREREREREREREREREREREREREREREREREREREREMjIHOK3N\n",
       "fVcCW47wc+4C9hzhsSLSw8alDiAiDWYB1wOPA/cD1wH/Unrf4qvTxupzRKTLqGIg0j2OAb4MfAbY\n",
       "OL7+GXgtMLG0X23so/WMGro+IiLSB9bHWwne1WK/b9J4K+FQYAnwMPAjYHrpvZXAkcAdwIPAZ6kX\n",
       "mlsBVwEPxfe+GzMU7gTeMESGycAX8NsNjwDXAGvG994B/B74C3A18JLScXfhlZ+F8bgLgUnxvduB\n",
       "t5b2nRBzbR/XdwWujeddALy+tO884JPAb4C/4bdP9gL+ED/nv4BfAR8sHXMIcBvwZ+ByYLPSeyuB\n",
       "w4HF8fO+Muj3PzQe+9f4u+4Qt28CXAo8ACzDr72IiMiI7AM8Q+tWvHLF4A3UC881gDPxArCwEvgl\n",
       "MAWYiReUReG4Fd6HYCKwYTzuS6Vjh6sY/BdeqZge8+4aP38bvHKzJzAeOBavtEwonfM64IXAVLxw\n",
       "PTy+dxJeOSm8FS90ATbFKzD7xPU3xvUN4vo8vNLx0phnI+BRYN+4fhTwNF4ZAHhnzPXi+P6JeKWi\n",
       "sBL4MbAeft0eAPaO770PWA7sGNe3wisV44AbgI/F33cLvEK21ypXT0REpA0fAP40aFvxDflvwG5x\n",
       "2zeBT8TlbwD/Wdp/bbwALL79rqSxYPoX4BdDfP6+wI2l9aEqBuNinpc3ee8kvBWgUMML0deVzvn+\n",
       "0vufAc6Jyy/Cv4EXLQ/fwwtZgOOAbw/6rMuBA+Py1cAppfcOpLGgB7ibesXgZ6Xl4nd6Aq8EgF+3\n",
       "15Tevwj497j8c5q3BOwC/HHQtuOB85rsK9LV1MdApDs8jH9zL/8/+Rr8m/XDNP9/dTqNhdETcd9N\n",
       "S9vuKS3fjTd3g/dfuBAvuB8FvkP9G/hwNsQL7zuGyHN3ad3i55fz3Fda/juwTlxeit9OeAewFvB2\n",
       "4Pz43ub4N/W/lF6vxVseCuXfc5P4e5WV1zcHziid6+G4faicfyvlnEHz333z+LnljMcDL2iyr0hX\n",
       "U8VApDv8H/AU/s29XfcCA6X1tfHCfUVp22aDlov3TgeeA16G9y04gPb+HjwEPIl/w2+WZ/PSeg3/\n",
       "Fr6iyb6w6lMPFwD74039t+H36cErG9/BK0nFa128z0Szc92LF+DlHOX1u4HDBp1vbfw2Ryv30Px3\n",
       "vxtvESmfcz3gbW2cU6SrqGIg0h0eAU4Fzgbegxd84/D+A2uX9iv3ur8AmA28Au/EdzpeuJW/tf8b\n",
       "9T4GR+HN4uDfgJ/Am+83xfsDtGMl3jz+RbyFYDzwaryPwcV434A34H0XjsErEdcOca7BTw9ciN/L\n",
       "/2f8VkLhu3gLwl7x89YEAo3f8Mvn+il+q+Od+P3+D9PYunAucAKwbVxfH2+RGEr5mn8dv6avjNte\n",
       "hFe45gOP4bccJsecLwN2Gua8IiIiLb0fH8fgCbzT23XAh6g/rljuYwDeeW8p3hz+Y+q3CsAL8X/F\n",
       "m74fAj5H/cvAtsDv8MLsRuBoGisUw3U+XBPvqLgcr9DMo943YF+80+Aj+L3/lw5zzpNZte/AL/B+\n",
       "EoOb4HeOn/Mwfl1+Qr0V4Goa+wyAVzDKTyVcC/xT6f0PADfjt1Huxgv8wnM0DgzV7Jovwq/dzXjF\n",
       "DLyidD7eV+TP8TOHuoYiWToPH6DlltK2C4Gb4uvO+LNwPN5TeBGNHaZ2jOdYgt8XLEzCv/0swf94\n",
       "lpswD8IfNVpMvYOSiORpHH474/WtdhSRztodf773liHe/zz1Xsfb4s8mT8TvmS6l3nQ3H/+2ADCX\n",
       "+iNLR+DNrgD7Ue8NPQ3/hjQlvoplEcnHXvj/95PwvzMrqI+ZICIJDdC8YlDDm++2iuvH448kFS7H\n",
       "n42ejvdULszC7w8W++wSl4vBUMA7L51TOubceJyI5ONk/PbJX/GOna9KG0ekd0xovUtH7I7fZige\n",
       "+9mExh7By/GORc/Q+JjRCuodjjal/ojSs/i9wg1Y9VGl5TR2UhKR/ndqfInIakr1VML+1J9RFhER\n",
       "kS6RosVgAj4e/CtL21ZQH3UMvLfx8rh9RpPtxTGb4c8sT8AfOXo4bg+lY2biw7c2s4LGXtwiIiL9\n",
       "7A6aj8UxZgZYtY/BPvjjRWVF58M1qI8xXnQ+vB7vS1Bj1c6HRV+CWTR2PlyGdzyaWlpuRtPKdt4p\n",
       "qQNk4JTUATJwSuoAmTgldYAMJC33LsC/zT+F9wWYHbd/Ex91bLAT8KcRFlGfsATqjysuxSeJKUzC\n",
       "B1QpHlccKL03O25fgj+6OBRVDDpvTuoAGZiTOkAG5qQOkIk5qQNkQOVeC7pAnTcndYAMzEkdIANz\n",
       "UgfIxJzUATKgcq8FXaDOC6kDZCCkDpCBkDpAJkLqABlQudeCLpCIiOSkZbmnSZSk00LqABkIqQNk\n",
       "IKQOkImQOoCoYiAiIiLyPN1KEBGRnOhWgoiIiLRPFQPptJA6QAZC6gAZCKkDZCKkDiCqGIiIiIg8\n",
       "T30MREQkJ+pjICIiIu1TxUA6LaQOkIGQOkAGQuoAmQipA4gqBiIiIiLPUx8DERHJifoYiIiISPtU\n",
       "MZBOC6kDZCCkDpCBkDpAJkLqAKKKgYiIiMjz1MdARERyoj4GIiIi0j5VDKTTQuoAGQipA2QgpA6Q\n",
       "iZA6gKhiICIiIvI89TEQEZGcqI9BazYXbErqFCIiIpKegRnYRamD9LGQOkAGQuoAGQipA2QipA6Q\n",
       "AbUYtOEG4PDUIURERCQ9A/tY6hAiIiJjRH3rWjCwB8DWTx1ERERkDOhWQht+BhyTOkQfC6kDZCCk\n",
       "DpCBkDpAJkLqAKKKAcDJwIfBXpA6iIiIiKQVm1TsLLAvp40iIiLScepj0EJRMdgY7GGwzdPGERER\n",
       "6ShVDFooXSD7JNh56aL0rZA6QAZC6gAZCKkDZCKkDpCBpJ0PzwPuB24ZtP1I4HbgVuAzcdsA8Hfg\n",
       "pvg6u7T/jvEcS4AzStsnARfF7dcB5W/7BwGL4+vANvN+Hngb2LZt7i8iIiKrYXdgBxorBnsAVwIT\n",
       "4/pG8ecAq1YgCvOBnePyXGCfuHwE9QrEfsCFcXkacAcwJb6K5WYG1Zzs38EuHWJfERGRXpf8VsIA\n",
       "jQX+xcAb2tivMB1vXSjMAs6Ny5cDu8TlCcCDcXl/4JzSMefG45oZXDFYC2wF2KuG2F9ERKSXdd04\n",
       "BlsDr8Ob/ucBO5Xe2wK/jTAP2C1u2xRYXtpnRdxWvHdPXH4WeBTYANhk0DHLS8e0UPsbcBpwenv7\n",
       "SxtC6gAZCKkDZCCkDpCJkDqAjH3FYAIwFdgVOBZvQQC4F5iJ33o4GjgfWHeMsxW+AWwB1qxlQ0RE\n",
       "pK9NGOPPWw78IC7/FliJf8t/GHg6br8R7xewNd5CMKN0/AzqrQErgM3wSsUEYP14nhU01jpnAlcN\n",
       "k2kOcFdcfgRqC8BOAj4N447ziMyL7xfn1frqrdPifa1rvdvX53VZnn5ep8X7Wl+99WJ5gC4xQGPf\n",
       "gcOBU+PyNsDdcXlDYHxc3hIv/IsOg9fjfQlqrNr5sOhLMIvGzofL4vFTS8vNDHGvxcaBLQDbd5jf\n",
       "TUREpNck7Xx4Af5t/im8L8Bs/GmE7+CVhRuo12jejT++eFPc/tbSeYrHFZcCZ5a2T8JvRRSPKw6U\n",
       "3psdty/BH10cyjAXyN4K9nuw8UPvI20IqQNkIKQOkIGQOkAmQuoAGUj+VEK3G65iUAP7NdhwFQtp\n",
       "LaQOkIGQOkAGQuoAmQipA2RAFYMWWlwg2x3sLrBJY5JGRESks1QxaKGNC2RzwY7sfBQREZGOU8Wg\n",
       "hXYqBtuD/Qlsnc7H6UshdYAMhNQBMhBSB8hESB0gA103wFEPqi3AH//4SOIgIiIi0mFtNqnY1mAP\n",
       "gW3Q2TgiIiIdpVsJLazGBbKvgn22c1FEREQ6ThWDFlanYrAp2J/9p6yGkDpABkLqABkIqQNkIqQO\n",
       "kAH1MahObQU+j8JJqZOIiIhIZ6xmk4ptEPsavKgzcURERDpKtxJaGMEFso+BnV99FBERkY5TxaCF\n",
       "kVQM1onjGryi+jh9KaQOkIGQOkAGQuoAmQipA2RAfQyqV3sc+DTwqdRJREREpFojbFKxSXEOhd0q\n",
       "TSMiItJZupXQwigukB0Mdo3PwigiItITVDFoYTQVg/Fgt4G9pbo4fSmkDpCBkDpABkLqAJkIqQNk\n",
       "QH0MOqf2HPAx4HQwXUcREZE+MMomFauBzQebVU0cERGRjtKthBYquEC2J9gSsImjP5eIiEhHqWLQ\n",
       "QkUXyH4Bdlg15+o7IXWADITUATIQUgfIREgdIAPqYzBGTgA+DjY5dRAREREZuQqbVOwHYMdWdz4R\n",
       "EZHK6VZCC1VWDLYFewBs/erOKSIiUilVDFqo+ALZHLDTqj1nzwupA2QgpA6QgZA6QCZC6gAZUB+D\n",
       "MXYKcATYxqmDiIiIyOrrQJOKneEvERGRrqNbCS10omLwArCHwQaqP7eIiMioqGLQQocukJ3m/Q0E\n",
       "3TMcCyF1gAyE1AEyEVIHyID6GCTyeeAt/qSCiIiI9IoONqnYsT62gYiISNfQrYQWOlkxmAy2HGzn\n",
       "zn2GiIjIalHFoIUOXyA7zOdRyFpIHSADIXWADITUATIRUgfIQNI+BucB9wO3DNp+JHA7cCvwmdL2\n",
       "44ElwCJgr9L2HeM5lgDlxwAnARfF7dcBm5feOwhYHF8HjvL3GI1vApv7DIwiIiJ52x3YgcaKwR7A\n",
       "lUAxRfFG8ee2wIK4fQBYCtTie/OBojl+LrBPXD4CODsu7wdcGJenAXcAU+KrWG5mDJpUbBbYfLBa\n",
       "631FREQ6KvmthAEaKwYXA29ost/xwHGl9cuBXYHpeOtCYRZwbmmfXeLyBODBuLw/cE7pmHPjcc2M\n",
       "RcVgHNhNYO/u/GeJiIgMq+seV9waeB3e9D8P2Clu3wRYXtpvObBpk+0r4nbiz3vi8rPAo8AGw5wr\n",
       "kdpK4ETgk2Dj0+VIJqQOkIGQOkAGQuoAmQipA0j7FYMB4I1xeS1gvRF+3gRgKt4acCzegpCDnwEP\n",
       "AwekDiIiIjKcCW3scxhwKH7vfitgBt5UP5IOdcuB4tn+3wIrgQ3xloCZpf1mxH1XxOXB24nvbQbc\n",
       "G3+P9fHCdwWNtc6ZwFXDZJoD3BWXH8H7OsyL68V5Rrlemwd2PPz8+7DBCnj4ymrP3/XrtHhf61rv\n",
       "9vV5XZann9dp8b7WV2+9WB6gQgvxJwBuKm0b/KTBUAYG7Xs4cGpc3ga4Oy4XnQ/XALbAOwwWnfWu\n",
       "x/sS1Fi182HRl2AWjZ0Pl+EdDqeWlpsZ404Y9j9gR43tZ4qIiDyvknJvfvxZVAwmADe3cdwF+Lf5\n",
       "p/C+ALPxpw6+g1cWbqCxRnMC/jTCImDv0vbiccWlwJml7ZPwWxHF44oDpfdmx+1L8EcXhzLWFYNX\n",
       "gN0Htu7Yfm5SIXWADITUATIQUgfIREgdIAOVlHufwzvP/QF4E/BD4FNVnLgLJHhsw84HO2nsPzeZ\n",
       "kDpABkLqABkIqQNkIqQOkIFKyr3xeD+D78fXodSb+XtdiorBi8AeAttg7D9bREQyl3wcg26X6ALZ\n",
       "uWCfS/PZIiKSsUrKvTubvJZVceIukKpisCnYn/1n3wupA2QgpA6QgZA6QCZC6gAZaFnutfO44qtK\n",
       "y2sC78UHEpIRq60A+xrwcfxJDRERkZ52Y+oAFUl4r8WmgT0ItnW6DCIikplKWgx2LJ1oHD6McY5D\n",
       "+1as9mewLwOfwOd3EBER6QnzgKvj60rga8CLUwaqUOLembYO2J/Adkibo6NC6gAZCKkDZCCkDpCJ\n",
       "kDpABippMQijzyHN1R4HOx0fF+ItqdOIiIgMNx7BMfHn4NpFLW77YkcSjS0j+ZgMNgkf7fFAqF2T\n",
       "NouIiPS5luXecC0G69K8yaE2xHYZkdpTYKcAnwbbHWq6tiIiIol0SSFs48F+D/bW1Ek6IKQOkIGQ\n",
       "OkAGQuoAmQipA2Sgkj4Gk4EP4jMgTi6d9JCR55JGtefATgQ+BfYzqK1MnUhERGQo3wdOw0c7PAh/\n",
       "MuHMYY/oHV3SYgBgNbDrwPToooiIdEol5d6C+LOYankicH0VJ+4CXVQxALA3gC0Fm5g6iYiI9KWW\n",
       "5d64Nk7ydPz5KPByYAqw0ShCyZBqV+FzUXwwdZIKhdQBMhBSB8hASB0gEyF1AGnPocA04PV4ofUg\n",
       "8M9JE1Wny1oMAOxVYCvA1kqdpCIhdYAMhNQBMhBSB8hESB0gA5WUe+10UOxVXVgxALDvg/176hQi\n",
       "ItJ3Kin37gb+G9iT5IMBVa5bKwYvBXsAbErqJCIi0lcqKffWBvYDfgj8EfgKsHsVJ+4CXVoxALDz\n",
       "wD6ZOkUFQuoAGQipA2QgpA6QiZA6QAYqL/emAt8Bnqv6xIl0c8VgM7CHwTZOnWSUQuoAGQipA2Qg\n",
       "pA6QiZA6QAYqK/cCcA7e+fBi4D1VnTixLq4YgE/LbGelTiEiIn2jknLvLuAyYH9gnSpO2EW6vWLw\n",
       "gthqsEXqJCIi0hcqKffWr+IkXarLKwYA9gmwb6VOMQohdYAMhNQBMhBSB8hESB0gA5UMcPRoBUFk\n",
       "5L4A7AP2D6mDiIiI9LseaDEAsGPAfpg6hYiI9LweKffS6ZELZJPB7gHbJXUSERHpaS3LvXYGLFoT\n",
       "fwphgPooiAZ8YsSxuofRM4M22aF4B9A9odYjFRrA7xnOS5yh3wV0jTstoGs8FgK6zp3Wstxrp4/B\n",
       "j4B3AM8Aj8fXE6OOJqvrm8AM4I2pg4iISN5uTR2gg3rpmzdg+4H9FqxHWjlERKTLVPJUwrXAdqPP\n",
       "IhW4BL+d8+7UQUREJF+347cRFgO3xNfNSRNVp8daDABsH7DbwXpl1suQOkAGQuoAGQipA2QipA6Q\n",
       "gUpaDN4MbA28CXgb8Ha8z0Er5wH34xWJwinAcuCm+Nonbh8A/l7afnbpmB3jOZYAZ5S2TwIuituv\n",
       "AzYvvXcQXpFZDBzYRtZe8nPgAeCA1EFERCRf2wNHAv8KvKLNY3YHdqCxYnAycHSTfQcG7Vc2H9g5\n",
       "Ls+lXpk4gnoFYj/gwrg8DbgDmBJfxXIzPdhiAGCvAfsj2KTUSUREpKdU0mLwEeC7wEbAxnH5qDaO\n",
       "uwb4S5Ptq9NxbjqwLl45APg2sG9cfgdQDBV8KbBnXN4buAJ4JL6upF6Z6BO1a/HbOf+cOomIiPSX\n",
       "dioGHwJ2AT4OnATsChw6is88ElgIfIPGb/Jb4LcR5gG7xW2b4rceCivituK9e+Lys/jQzRsAmww6\n",
       "ZnnpmH5yInA82Lqpg7QQUgfIQEgdIAMhdYBMhNQBpD5gUSsrh1heXedQHxjpNHwegA8C9wIz8RaG\n",
       "V+KzOY7V3ABz8BkkwVsYFlAfYCPEn124XrsZLrwFHjkDOCR9niHXt++yPP24Tov3ta71XlnX34vO\n",
       "/H0I+C37yhyNN1ufApyKf9v/aJvHDjB034Hh3rsaryBMx5+KKOyPVy4ALsdbL8ArOA/G5VnAuaVj\n",
       "vor3QWimR/sYFGwrsIfANkydREREekJl5d6OeF+Do/AOhe0aoLHwn15a/ihwflzeEBgfl7fEm/+L\n",
       "2wzX47cyaqza+bCoJMyisfPhsnj81NJyMz1eMQCws8E+nzqFiIj0hFGVe+vFn9Pia4P4KtZbuQC/\n",
       "RfA03hfgELzz4M14q8NleGdG8AF7bsX7GNwAvLV0nuJxxaXAmaXtk4CLqT+uOFB6b3bcvgR/dHEo\n",
       "/VAxmA72MNiM1EmGEFIHyEBIHSADIXWATITUATIwqnLvp/HnXcCdTV79oA8qBgD2n2D/nTrFEELq\n",
       "ABkIqQNkIKQOkImQOkAG+qTc65w+uUA2FexBsG1SJxERka5WSbn3yza39aI+qRgA2AlgF6VOISIi\n",
       "XW1U5d5kvE/BzdT7FUzD7+UvGm2yLtFPFYO1wf4E9srUSQYJqQNkIKQOkIGQOkAmQuoAGWhZ7g03\n",
       "jsHh+JMIm+AdAguPAV8ZXS6pXu0JsE8Bn8LntxAREemII1MH6KA+ajEAsDXAloG9LnUSERHpSpXM\n",
       "lWD4eACFqfgYAtJ1ak/jE1V9Gmx15qQQERFp28Im2xaMeYrO6LMWAwAbD3Yr2NtSJ4lC6gAZCKkD\n",
       "ZCCkDpCJkDpABippMRg3aL/xwMSRJpJOqz2HT7B0Olg7/74iIiKr5fP4CIN7Am8ELsEnP+oHfdhi\n",
       "AH4bwf4P7J9SJxERka5SSbk3HvgX4PvxdTj1eQ16XZ9WDABsD7A7vEOiiIgI0NflXjX6/ALZz8H+\n",
       "JXGIkPjzcxBSB8hASB0gEyF1gAxU0sdgN+BKfEKiYp6EZaPLJWPkBOBjYGulDiIiIv3jD/iAORvj\n",
       "0yMXr37Q5y0GAHYJ2HGpU4iISFeopNy7voqTdKkcKgYviRMsTUmdREREkqvkVsLVwOeAVwOvLL2k\n",
       "J9QWAT8Gjk0UICT63JyE1AEyEFIHyERIHUCGnyuhsCtew9hp0PY9qo8jHXIqcBPYWVC7L3UYERGR\n",
       "bpXBrYSCfQlMk1+JiOStZbnXznj6J8cT1Qad8BMjDNVNit8rA7YRPl32TlC7M3UaERFJomW5104f\n",
       "gyfi63FgJfAWYGC0yWSs1R4EzsJvK4ylMMafl6OQOkAGQuoAmQipA8jITAJ+lTpERTK6lQBg64Hd\n",
       "D/ayMfzQMIaflauQOkAGQuoAmQipA2SgI+XeNGBpJ06cQGYVAwA7Guyy1ClERCSJSsq9W0qv3wMP\n",
       "AkdWceIukGPFYE2we8B2TZ1ERETG3KjKvS3iz83xPgUDwAz6a8rlDCsGAPYhsKt9FsaOC2PwGbkL\n",
       "qQNkIKQOkImQOkAGRjXA0ffjz/OAu+JrOfDMaFNJcnOATYA3Jc4hIiJdZrhvjAuAS/Apl784aF+L\n",
       "23pdRo8rDmbvA44DXgW1TFtORESyM6rHFWcBzwHjgXWBdUqvdSsKKOlciv/H8Z7UQUREpLe8JXWA\n",
       "Dsr8m7LtDbYIrJ2hsUcqdPDc4kLqABkIqQNkIqQOkIFKJlGaW0EQ6U5XAPcBB6YOIiIi0g0ybzEA\n",
       "sFeD3e2PMYqISJ9TudeCLhAA9mOwj6ZOISIiHVdJubc2cBLwtbi+NfC2Kk7cBVQxAMBeHodK7kSn\n",
       "0tCBc0qjkDpABkLqAJkIqQNkoJI+Bt8EngZeE9fvBT7VxnHnAffjIyYWTsHHQrgpvt5ceu94YAk+\n",
       "A+Bepe07xnMsAc4obZ8EXBS3X4cPxFQ4CFgcX7p/3lLtFry/wdGpk4iISPe7If68qbRtYRvH7Q7s\n",
       "QGPF4GSaFz7b4uMmTMRHWFxK/TnL+cDOcXkusE9cPgI4Oy7vB1wYl6cBdwBT4qtYbkYtBs+zLcEe\n",
       "AtswdRIREemYSloMngIml9a3ittauQb4S5PtzQZWeCdwAT6q4l14xWAXYDo+ZsL8uN+3gX3j8juA\n",
       "b8XlS4E94/Le+LffR+LrSuqVCRlSbRneAnN86iQiIpJOOxWDU4DL8XkSzgeuwkfMG6kj8RaHb1D/\n",
       "Jr8JfouhsBzYtMn2FXE78ec9cflZ4FFgg2HOJa19EjgYbGaF5wwVnkuaC6kDZCCkDpCJkDqAQDsD\n",
       "21wB3AgUs/F9BJ9hcSTOAT4Rl08DvgB8cITnqsocvJUCvIVhATAvrof4M5P12ovh65fDBz8OHFrR\n",
       "+bfvXF6t06hb8mhd6yNd19+Lzvx9CPht+sr8BHg//nTC6hqgsY/BUO/9R3wVLsdvJbwQuL20fX+8\n",
       "clHsU1RWJlCvrMwCzi0d81W8D0Iz6mOwCpsK9iDYi1MnERGRylVS7gW8MP4jPuPie4F2B8MZoLFi\n",
       "ML20/FH81gTUOx+ugU/3fAf1vgjX45WEGqt2PiwqCbNo7Hy4DL9NMbW03IwqBk3Z8WAXp04hIiKV\n",
       "q7Tcm4BP03sx8Nc29r8Af7TxabwvwCF458Gb8T4GlwEbl/Y/Ae90uAjvQFgoHldcCpxZ2j4pZike\n",
       "VxwovTc7bl+CP7o4FFUMmrK1we4Fe2UFJwsVnEOGF1IHyEBIHSATIXWADFRW7k3Gm+MvBe4Ezqrq\n",
       "xImpYjAkOwLs8gpOFCo4hwwvpA6QgZA6QCZC6gAZqKTcuxi/jfBVYA98GuZ+oYrBkGwNsGVgr0+d\n",
       "REREKlNJubc3/VUZKFPFYFj2AbBrwZqNPSEiIr1nVAMcFQMGrYMPQPTu+HpP/Cn97wJ8gKnRzI0R\n",
       "qokiwwipA2QgpA6QiZA6gAw/jsHrgF8Cb6d5DeMHHUkkXaT2HNiJwOlgc31dRERyt2Wb23qRbiW0\n",
       "ZLV4O+EDqZOIiMioVVLu3dhk2w1NtvUiVQzaYq+PHRHXSJ1ERERGZVR9DF6K9yeYQmPfgoNpf4Aj\n",
       "6Qu1X+FTWH9oBAeHarNIEyF1gAyE1AEyEVIHkOH7GGyD9y9YP/4sPIaPoy95OQH4H7BvQe2J1GFE\n",
       "RCSdV6cO0EG6lbBa7GKw/2i9n4iIdKlKyr1v0zjXwFTgvCpO3AVUMVgt9uI4wdLU1ElERGREKin3\n",
       "FrS5rRepYrDa7Otgn16NA0KnksjzQuoAGQipA2QipA6QgVF1PizU8BkLC9Po35EQpbVTgcPAprfc\n",
       "U0RE+tKBwB+A04BPxuUDkyaqjloMRsS+APZfqVOIiMhqa1nutTsG/j/gEygBXAXcNtJEXcZo/xrI\n",
       "82xDfHrsnaG2LHUaERFpW2Xl3u7A7Li8EbBFFSftAmoxGDE7Gew7bewYOp1EdI3HQEgdIBMhdYAM\n",
       "VFLunQL8BB/gBmBT4DdVnLgLqGIwYrYu2H1gL2+xYxiLNJkLqQNkIKQOkImQOkAGKin3FuKdFG8q\n",
       "bbu5ihN3AVUMRsU+Cvaj1ClERKRtlTyV8BSwsrS+9ojjSL85B9gB7DWpg4iIyNg5FvgqcCdwGHAd\n",
       "cFTSRNV7pjIQAAAXh0lEQVRRi8Go2SFg83wWxqbCGIbJVUgdIAMhdYBMhNQBMlBJi8HngEvjaxvg\n",
       "JODM0eWSPvJtYGNgr9RBRERERkstBpWw94LdANZORVNERNIZVblXPHnwOD6jYvn1V+Au4MOj+YAu\n",
       "oIpBJawG9juw96VOIiIiw+poubcBPgpiL1PFoDK2F9gisMFTeYcUaTITUgfIQEgdIBMhdYAMVNLH\n",
       "AOCVwEeAI+MywMPUR0MUuRL4E3BQ6iAiItJZHwduwSfP+QQ+rsFJSRNVRy0GlbJdwe4BWzN1EhER\n",
       "aaqScm8xUP5DP5n6KIi9ThWDytllYEenTiEiIk1VUu5dDUwtrU/FJ1LqB6oYVM5eBnY/2HpxQ0iZ\n",
       "JhMhdYAMhNQBMhFSB8hAy3JvcEexsrPiz0eB3wNXxPU3AfNHl0v6V+1WsJ8DR+PzbIiISA8ZburF\n",
       "g2mcnnHw8rc6F2vMaNrljrAtgN8BL4Hag6nTiIjI81qWe+0UipOBF8WTLQWeHH2urqGKQcfYV4Cn\n",
       "oab+BiIi3WNU5d5E4LPAQ8CN8fUQPkTyxDaOPw+4H3+iYbBj8ImZpsX1AeDv+AyONwFnl/bdMZ5j\n",
       "CXBGafsk4KK4/Tpg89J7B+EdJBcDBw6TUX0MOsZeCPYk/OQ2sLlgU1In6mMhdYAMhNQBMhFSB8jA\n",
       "qMq9LwNfB9YtbVsP+BqNBfRQdgd2YNWKwUzgcnxSpnLFoFkFArw/w85xeS6wT1w+gnoFYj/gwrg8\n",
       "DbgDmBJfxXIzqhh0lP0BrjYwA/th6jR9LKQOkIGQOkAmQuoAGRhVubeU5gMgjY/vtWOAVQv8S4Dt\n",
       "aK9iMB24vbQ+Czg3Ll8O7BKXJwDFvez98emAC+fG45pRxaCjbG6sFDwA9hDYv4NNTp1KRCRjoxr5\n",
       "cGV8DfbcENvb8U5gOXBzk/e2wG8jzAN2i9s2jfsXVsRtxXv3xOVn8acnNgA2GXTM8tIxMrbeD1yM\n",
       "z8q5G7ArsBhsNtj4pMlERKSp4SoGt9N8eNsDgEUj+Ky1gBOAk0vbig4Q9+K3GHbAH3M7n8ZbGNKT\n",
       "ao9A7Zz4cxHU3g38I3AIsBDsbT4Bk4xSSB0gAyF1gEyE1AFk+HEMPgz8AP8jfkPctiNewL9rBJ+1\n",
       "FX7LYGFcnxHPuzPwAPB03H4j3i9ga7yFYEbpHDOotwasADbDKxUTgPXx+RtW0Pgf10yGH5BpDj5T\n",
       "JMAjwAK81YLSebQ+8vXtG9drgL0OeBv87Cx45lNgh0Ptui7J24vrtHhf61rvlfXtW7yv9ZH9fQh4\n",
       "+VuJGrAncBQ+gdKeq3n8AEN3Kiz3MdgQ77sAsCVe+BcdBq/H+xLUWLXzYdGXYBaNnQ+XxeOnlpab\n",
       "UR+DpGw82CFxfoVLwV6cOpGISJ9LWu5dgH+bfwrvCzB70PvLqFcM3g3civcxuAF4a2m/4nHFpcCZ\n",
       "pe2T8PvXxeOKA6X3ZsftSxh+tj9VDLqCTQY7DuxBsHPBpqdOJCLSp1TutaAL1Hmh/V1tGtjnwR4G\n",
       "O60034IML6QOkIGQOkAmQuoAGRjVUwkiY6z2Z6j9G/BKvP/IErCjwNZIHExERDKhFoOuZtvFsRCW\n",
       "ge0PpoqsiMjoqNxrQReoJ9geYPPBbgB7Y+o0IiI9TOVeC7pAnReqOY3VwN4HtgTsCrAdqjlvXwip\n",
       "A2QgpA6QiZA6QAbUx0D6Rc2gdgmwLXAZMBfse3GKZxERkUqoxaBn2TpgJ8cnGL4MtmHqRCIiPUDl\n",
       "Xgu6QD3PNgb7Spyk6USwtVMnEhHpYir3WtAF6rwwNh9jLwK7EGwF2GFgww333W9C6gAZCKkDZCKk\n",
       "DpAB9TGQXNSWQm0WsC8+RPatYO/SJE0iIrI61GLQl6wGtg/YQrBrwXZrfYyISBZU7rWgC9TXbBzY\n",
       "AWB3gf0YbNvUiUREElO514IuUOeF1AHA1gT7KNgDYN8Am9H6mJ4SUgfIQEgdIBMhdYAMqI+BCNSe\n",
       "hNqXgG2AB4CFYP8JNtR03CIikim1GGTJNgX7WmxBOMZbFEREsqByrwVdoKzZtmCXgf0R7ECw8akT\n",
       "iYh0mMq9FnSBOi+kDtCa7Qb2m/gUw5t78BHHkDpABkLqAJkIqQNkQH0MRFqr/RrYDTgZ+CJwFdir\n",
       "0mYSEZEU1GIgg9gEsA+BLQe72EdUFBHpGyr3WtAFkiHYWmAnxDkY/svnZBAR6Xkq91rQBeq8kDrA\n",
       "6NiGYF+MszieArZu6kRNhNQBMhBSB8hESB0gA+pjIDI6tYegdjSwI7AVsBjsw2ATEwcTEZEOUIuB\n",
       "rCbbHuxysCVg/9iDTzCISN5U7rWgCyQjZHuC/Q5sPtgeqdOIiLRJ5V4LukCdF1IH6BwbB7Yf2B1g\n",
       "PwPbLlGQkOhzcxJSB8hESB0gA+pjINI5tZVQuwh4KfBT4Aqwb4NtnjiYiIiMkFoMpEK2Htip8QmG\n",
       "L4BtkDqRiMggKvda0AWSDrAXgp0N9iDYf4BNTp1IRCRSudeCLlDnhdQB0rFtwC4Buwfsgz6qYkeE\n",
       "Dp1X6kLqAJkIqQNkQH0MRNKpLYba+4D3AgcAC8HeoUccRUS6l1oMZIxYDewtYLeAXQP2mtSJRCRL\n",
       "Kvda0AWSMWbjwQ4Cuxvsh2AvSZ1IRLKStNw7D7gfuKXJe8cAK4FppW3HA0uARcBepe07xnMsAc4o\n",
       "bZ8EXBS3XweUHxE7CFgcXwcOk1EVg84LqQN0J1sT7N/AHgD7KtgmozhZqCqVDCmkDpCJkDpABpKW\n",
       "e7sDO7BqxWAmcDlwJ/WKwbbAAmAiMAAsBYr7sPOBnePyXGCfuHwEcHZc3g+4MC5PA+4ApsRXsdyM\n",
       "KgadF1IH6G42Fewz8RHHT4KtP4KThKpTySpC6gCZCKkDZCB5uTfAqhWDS4DtaKwYHA8cV9rncmBX\n",
       "YDpwe2n7LODc0j67xOUJwINxeX/gnNIx58bjmkl+gUSczQQ7D+x+sP8HNil1IhHpS133VMI7geXA\n",
       "zYO2bxK3F5YDmzbZviJuJ/68Jy4/CzwKbDDMuUS6WO0eqB0C7Blfi8D+yYddFhEZO2P5R2ct4ATg\n",
       "5NI2PbbV/0LqAL2ldivU3o73kzkSuAFsrxYHhY7HkpA6QCZC6gDiTfBjZSv81sLCuD4DuAG/HbAC\n",
       "73tA6b3lcfuMJtuJ720G3Iv/HusDD8ftoXTMTOCqYXLNAe6Ky4/gfR3mxfXiPFof+fr2XZanR9Zr\n",
       "/wvj/gNO2B1OO8ufYjj4EvjW4ib7s+rxWtd6T67r70X168XyAF1igOZPJUDzzodrAFvgHQaL1oTr\n",
       "8cpDjVU7HxZ9CWbR2PlwGd7hcGppuRn1MZAeYBPBDge7F+x8sC1TJxKRnpW03LsA/zb/FN4XYPag\n",
       "95fR+LjiCfjTCIuAvUvbi8cVlwJnlrZPAi6m/rjiQOm92XH7ErxJdiiqGEgPsbXBPgb2ENgZYBul\n",
       "TiQiPUflXgu6QJ0XUgfoP7ZRrBg8BPZb+NHNYHPBhmoZk9ELqQNkIqQOkAGVey3oAnVeSB2gf9mW\n",
       "/njj1QZmYEvAPgC2teZjqFxIHSATIXWADLQs93L/42HoGkhPs7nAm/HxPr6Ld97aBVgHHxzsOryf\n",
       "znyo/TlVShHpGi3LvdwLRVUMpMfZFOCrwOFQe6S0fTpeQSheOwH3Ua8oXA/cDLWnxziwiKSlcq8F\n",
       "3UrovJA6QAZC611sPNjLwT4E9jWwm8EeB/sN2BfB9gPbXLcghhRSB8hESB0gAy3LvbEcx0BEkqk9\n",
       "hz/dcwvwdd9m6+ItCbvgQ4l/GaiBFS0K1wG/hdpjCQKLSCK5fztQk4rI86yGDwi2Cz5XyS54n4W7\n",
       "aLwF8ftY0RCR3qM+Bi2oYiAyLJuIT3pW7q+wKfA76hWF66F2b7KIIrI6VO61oD4GnRdSB8hAGNuP\n",
       "s6lge4N9HOynccrou8EuAfs3sN3A1hrbTB0XUgfIREgdIAPqYyAiVav9Bfh5fBFvQWxF/RbEPwL/\n",
       "APYH6n0VrgcWQ21lgsAishpyb05Qk4pIR9iaeP+Eoq/CLvjcJb+lob9C7aFkEUXypD4GLahiIDJm\n",
       "7AU09lXYGXiIxo6NC6D2VLKIIv1P5V4L6mPQeSF1gAyE1AFGxsaBbQs2G+xcsAVgT4BdF+eCeD/Y\n",
       "Vl0ytkJIHSATIXWADKiPgYh0q9pK4Lb4+qZvs7XxGVV3Bd4DfBaY1GRshUeanFBEKtANNfGU1KQi\n",
       "0vVsBo23IHbEp3Ivd2y8BWrPJoso0jvUx6AFVQxEeo5NAF5GvaKwK7AZcCMNYyuwHGq6XSjSSOVe\n",
       "C/qj0XkhdYAMhNQB0rP1wd4IdiLYT8AeAFsB9gOw48AC2Dqj+IBQUVAZXkgdIAPqYyAiOag9Cvwi\n",
       "vogdFgeoPy75aWA7sKU03oK4XWMriDTKvTlBTSoi2bBJwCtovAWxET68c3lshfuTRRTpPPUxaEEV\n",
       "A5Gs2Yb4eApFRWFn4FEax1a4EWpPJosoUi1VDFpQxaDzAjAvcYZ+F9A1roiNA7amcYbJ7eCXz8Ke\n",
       "fwWuAO4G7o+v+0rLj6iz46gF9N9yp7Us99THQETkebWVwB/i69u+zf4Xxu8OrAm8BFgMbAO8Dtg4\n",
       "vl6Ij7cwuMJQrjiUlx9VJUK6Ve7fltViICIt2Fzgzfg8D3sNPbiSTaZeSSj/bLY8kVUrDENVIv6q\n",
       "SoRUSLcSWlDFQERasCnAV4HDqxtx0damXlFoVYkYz/AVh/LyY6pESAuqGLSgikHnBXTPsNMCusad\n",
       "Fkh2jW0dWlciip812qtE3Ae1x8f012hPQP8td5r6GIiI9Lba48DjwB2t97V1aF5x2I5VKhFmtF+J\n",
       "eKLK30i6W+7fltViICIZshowVCWiWUvEcwxbcXh+2/2qRHQ93UpoQRUDEZFhWQ1Yl/YrEc/QfiXi\n",
       "b2P5mwigikFLqhh0XkD3DDstoGvcaQFd4zZYDViP9isRT1GvMGwKV06BN/0duBavYEi1XgW1F6E+\n",
       "BiIiMjZqho8c+Sg+FsQwrAasT72ScDZM3AKYCswAzupk0kxtnzpAL9BjPSIiXcHmeodImx8fEZXK\n",
       "2VxU7rWkCyQi0hVsCthFqhR0kk0hcbl3Hn7v6JbSttOAhcAC4JfAzLh9APg7cFN8nV06Zsd4jiXA\n",
       "GaXtk4CL4vbrgM1L7x2ED1u6GDhwmIyqGHReSB0gAyF1gAyE1AEyEVIHyEDScm93YAcaKwbrlpaP\n",
       "BL4elwcG7Vc2H5/xDGAusE9cPoJ6BWI/4MK4PA1/3ndKfBXLzahi0Hn/L3WADOgad56u8djQde68\n",
       "luXeuA5++DXAXwZte6y0vA7wUItzTMcrE/Pj+reBfePyO4BvxeVLgT3j8t74DGiPxNeV1CsTMvbU\n",
       "LNh5usadp2s8NnSdu0CKpxI+BRwA/A2f1rSwBX4b4VHgY8CvgU2B5aV9VsRtxJ/3xOVn43EbAJsM\n",
       "OmZ56RgREREZRidbDIZyIrAZMAf4Utx2L97fYAfgaOB8Gm87SO8aSB0gAwOpA2RgIHWATAykDiBp\n",
       "xzE4H+8zAPB0fAHciPcL2BpvIZhROmYG9daAFXgF417891gfeDhuD6VjZgJXDZHhDtTPYCwclDpA\n",
       "BnSNO0/XeGzoOndWG3NudNYAjZ0Kty4tHwl8Jy5viE8tCrAlXvgX95quB3bBR2oa3PnwnLg8i8bO\n",
       "h8vi8VNLyyIiIpLQBfi3+afxvgCHAN/HKwoL8A6DL4j7vhu4Fe9jcAPw1tJ5iscVlwJnlrZPAi6m\n",
       "/rjiQOm92XH7ElT7FBEREREREZF27QMswlsUjkucpV81G+BKqjUTuBr4Pd7idlTaOH1pTfx25gLg\n",
       "NuDTaeP0tfF4q/FPUgfpY3cBN+PXef7wu+ZlPH5bYgCYiP8P/9KUgfpUswGupFovpD4pyjr4pDX6\n",
       "b7l6a8WfE/DblrslzNLPjga+B/w4dZA+difeD29YKR5XTG1nvGJwFz6t54XAO1MG6lPNBriSat2H\n",
       "V2wBHgdux8fxkGr9Lf5cA/9i8eeEWfrVDOAt+Gi4w04JLKPW8vrmWDEoD4wEGgBJ+sMA3kJzfeIc\n",
       "/WgcXgG7H791c1vaOH3pS8CxwMrUQfqcAb8AfgccOtROOVYMNG6B9Jt18Cd+PoK3HEi1VuK3bGYA\n",
       "r0MT/VTtbcAD+H1vtRZ01mvxLxBvBj6M3/JdRY4VgxXUZ3UkLi8fYl+RbjcRf/T3u8BlibP0u0eB\n",
       "nwI7pQ7SZ16Dz31zJ/6Y+xvweXGken+KPx8Efkh9gsLsTcBHfhrA7xmq82HnDKDOh51Uw/+AfqnV\n",
       "jjJiG1IfIG0y8L/UJ2yT6r0ePZXQKWtRn2pgbeA3wF7p4nSfN+M9uJcCxyfO0q+KAa6ewvt0zE4b\n",
       "py/thjdzL8CbYW9CM4lW7eX4MO0L8Me8jk0bp++9Hj2V0Clb4P8dL8Afb1bZJyIiIiIiIiIiIiIi\n",
       "IiIiIiIiIiIiIiIiIiIiIiLSW4qhiTcH9q/43CcMWv9Nxeev2sHAWRWf8/OMfGji1wOvHuXnD1D9\n",
       "4F2T8AGUchyRVrqI/gMU6YxiTo4tgPev5rETWrw/eGCS167m+cfaaOcnGfx3al18zoJ5IzzfHvgw\n",
       "vKuj1b9JFZ7CZyXddww+S0RExthj8ed1wCP4qIQfwQu5zwHzgYXAYXG/gBcKPwIWxW2X4bOg3Up9\n",
       "JrT/BJ6N5/tO3Fa0TtTiuW/BR+n7x9K55wGX4FMzf3eIzPPi+a/HRwbdLW4/mMZv/P+DF8zFZ382\n",
       "ZrwS2BX4FT7s+NvjPgfF3+VqYDHw8dK5PhA/7ybgXOqVgMfxVoEFrFqIfwA4vbS+Jz464c3AN/Ch\n",
       "zsGnVi/mnt8pfv7m+Hjxy+NnvhbYCJ+Ean58FZ93Cn6Nfw18b1CGAeotBmsC34yffyP1loyhth+M\n",
       "/zs3ux674P9OIiLSZ4qKweCx3w8DTozLk4Df4oVMwAvDzUv7To0/J+OFULH+GI2K9fcAV+AVhBcA\n",
       "fwReGM/9CLBJfO9amrcyXI1XLMCHDb8yLh9MY8XgJ9QrBiuBvePyD+Lnjwe2wwve4vh7Y/414++y\n",
       "Iz5HyY/j/gBnAweUzvveJhkBzgHeHZfXBO4GXhTXv4VXwMAn5RlcMQA4GTi6dL7zqV+PzahPq3wK\n",
       "/u8zqUmGAeoVg2OAr8flF+PXfdIw2w+m+fUgvr+i2S8tMlbGonlMJGeDp5HdCx9/vyj01sMLtWfx\n",
       "b6t/LO37EerNyjOBreM+Q9kNL+QMn8b2V8CrgL/G4+6N+y3AC7ZmfRN+EH/eGPdp5Wng53H5FuBJ\n",
       "4Dm8BaF8/BXAX0qfsVvcb0e8VQS8AnRfXH4OnzWymeJbP3iBeyc+7wl4xeDDwBktcpf/Xd5I40Rq\n",
       "6+KTzBhecXmqxbleC5wZl/+A/xtuM8x2o/n1uCF+1ji8wvBki88V6QhVDETG3r9S/zZeCMATg9b3\n",
       "xJvmn8S/7a7Z4rzGqhWR4v5+uXB7jqH/33+qyT7P0nifv5zjmdLySryiUCwP9Rm1Uq5vsWpnSvDf\n",
       "ebi+CUP1jyqfu5x7uGtXw5vwn27y3t+GOW7wOVZn++B9Vg5aH22/DJERU+dDkc56jPpUp+Dfro+g\n",
       "Xmhug0+HOth6+DfKJ4GX4BWEwjM0L3SvAfbD/7/eCG/un097hdNw7gK2j+eZycjmcH8T3nQ+GXgn\n",
       "ft/+l3jLyUZxn2l4U34rxS0S8G/iA8BWcf0AvKWkyL1TXH5P6fjB/yZXAEeV1l/RRoaya4B/isvb\n",
       "4L/DomG211j1ehStN5PwSlmrVgqRjlHFQKQzim98C/E/9AvwWwNfx+9h34g3vZ+DF/JG47fEy+P2\n",
       "24BPA/9Xeu+/8Q5tRefD4rgfxu0L8UL3WPyWwuBz02R9uN/h13hz/W14E/0Nw5zHmiwbXkG5NGb7\n",
       "Pv773w58DC+YF8afL2xynsF+Tb3AfxKf0vsS/Hd/Fu/ECHBqzPvbuL0450+Ad1HvfHhUPN9C4PfA\n",
       "4cP8fs1+17Pxv6U3AxfinS2fGWb7UNcDYAca/61FRESkhXXwwr5XHczQ4zqcjldaRJJRi4GI9JrH\n",
       "8T4Xe6QOMkLNWnDAbyPshj/aKSIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiLSq/4/FAmEb2f7\n",
       "BywAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa75713b450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Outer loop: 6 iterations\n",
      "\n",
      "Z in [-0.166796326637, 1.0182942152]\n",
      "Sparsity of Z: 3,431,958 non-zero entries out of 19,072,000 entries, i.e. 18.0%.\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfEAAAFCCAYAAADhbOSmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJztnXvwbUdV57+X3AR5h4BFIAleBJHHAArKwxc3CBgRgXkI\n",
       "WIARnCpn8IEPFNAacylrZiDg+BgHGRViVECiIkOmUBKZG1FAQCAJEGIIGiFgooIgvnjlN3/03rl9\n",
       "111r9erevc/Z+/y+n6pbv3N6d69e3bt7d6/Va58LEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBC\n",
       "CCGEEEIIIYvnHABXA/gQgOdtWZcazgJwFMAHALwfwA8O6acBuBTANQAuAXBqVuYFSO28GsBjs/SH\n",
       "AHjfcO3ns/RbAnjtkP6nAL6sdyMaOAnAewFcPHzf5faeCuB3AHwQwFUAHobdbu8LkMbz+wC8Gkm/\n",
       "XWrvKwHcOOg2sqn2nTvUcQ2A75relBBae1+CNJ6vAPA6AHfIru1ie0d+FMBNSPd7ZO3tXQQnAbgW\n",
       "wCEAJwO4HMB9t6lQBacD+Krh820B/DmS7ucD+PEh/XkAXjR8vh9S+05Gau+1AA4M194J4KHD5zci\n",
       "bWwA4NkAXjZ8fgqA3+rchhZ+BMCrALxh+L7L7b0QwLOGzweRHni72t5DAP4C6UEFpIfVudit9n4j\n",
       "gK/G8Q/5TbTvNAAfRtognJp9nhutvY8BcIvh84uw++0FksH1BwD+EscW8V1o7yJ4BFLnjjx/+LdG\n",
       "Xg/g0Ui7ursMaacP34G068s9DX8A4OEA7oq0Mx55KoCXZ3keNnw+COBvu2tdx5kA/hDA2Thmie9q\n",
       "e++AtKhJdrW9pyFtRO846HIx0gN/19p7CMc/5DfRvu8E8EtZmZcP5TbBIeiWKQD8WwC/OXze5fb+\n",
       "NoAH4vhFfPHtvUU5yyI4A8BHs+/XD2lr4xDSDvAdSA+EG4f0G3HsAXE3pPaNjG2V6R/DsT7I++cL\n",
       "AD6N491Bm+ZnAfwYkltqZFfbew+kSXoBgPcA+BUAt8HutveTAH4GwEcAfBzAp5DczLva3pG523cn\n",
       "R9a2eRaSpQnsbnufONR/pUhffHvXsojvbVuBDtwWwO8CeA6Az4hre9iNNgLA4wH8DdJ5+AEjzy61\n",
       "9yCAByO5zx4M4J9wopdol9p7TwA/hLQhvRvSuH66yLNL7dXY9fbl/CSAzyHFPuwqtwbwEwDOy9Ks\n",
       "Z9fiWMsi/jGk84qRs3D8jmbpnIy0gP8GkjsdSLv504fPd0Va+IAT23omUls/NnyW6WOZuw+fxzPZ\n",
       "T/ZTv4qvA/AEJJfUawA8Cqndu9re64d/7xq+/w7SYn4DdrO9XwPgbQA+gWRlvA7puGtX2zsy9/j9\n",
       "hCJr28+57wbwOABPy9J2sb33RNqUXoH03DoTwLuRvC272N6tcBApCOAQgFOwrsC2AwB+HcnFnHM+\n",
       "jp21PB8nBo6cguSq/TCO7QrfgXTWcgAnBlKMZy1PxfYDvUYeiWNn4rvc3rcAuPfw+QhSW3e1vQ9C\n",
       "esviVkh6Xgjg+7B77T2EEwPb5m7faUjxFacixRyMnzfBIRzf3nOQ3kC4s8i3q+3N0QLb1t7eRfCt\n",
       "SAE11yIFG6yFb0A6G74cycX8XqSbfRpS8Jf2yspPILXzagDfkqWPrzRcC+AXsvRbArgIx15pONS/\n",
       "GU08Esei03e5vQ9CssTz13F2ub0/jmOvmF2I5Gnapfa+Bum8/3NIZ5vPxOba98wh/UNIUf+bQLb3\n",
       "WUP9f4Vjz6yXZfl3pb2fxbH7m/MXOD4GY+3tJYQQQgghhBBCyM6y1l9lI4QQQvY1a/5VNkIIIWTj\n",
       "LOkVs4ciLeLXAfg8UkTfE7epECGEELJklrSI78qvshFCCCEb4eC2Fcgo/gLSgx70oL0rrrhiE7oQ\n",
       "QgghS0L9FbklWeLFX7O54oorcN5559387+jRo9jb21P/ATjhu0xr/afJ1tJL5XK9NJnnnXdeuKyl\n",
       "U6kPLJ179VXNv7y9++FfSx/XlKkZ89FxMUVfeX97zcnIvJN1yTkrr1m65enys0zT2lvSWZMT0VNL\n",
       "79FvNfcgOn+j+mrpsn+ibfX6NnJ/tPt83nn5r7Tqa4BWLqLj0aNHj1vrPJZkif8ZgK9ACmz7ONJ/\n",
       "4fadMtORI0c2qhQhhBCySQ4fPozDhw/f/P2FL3yhmXdJlvgXAHw/gDcBuArp/yn+oFsi48CB4z0N\n",
       "3g58KppsmZ7rc+DAARw4cAB7e3uqnpYF4H3Py2p1j3Xl/7x6Sv1H+iN32ON9kuRpNfdFu9+afKvs\n",
       "FMZ6NDn5Na+eqbrKcS+tsPGalCHzy/63rDapz/jg1fpCexbkeWT9sh7Zrlxe9Fnn3RvrupVf9pV8\n",
       "/ln1as8led80nSyr3dNTu0eWXlLvklXtybXGmZfP6z/JkhZxAPh9AF8J4F4A/vuWddk6+U5sP8D2\n",
       "7jb7rb37jf12f5fS3tX8d2sDe96ue0nWo7arkrv/OerKv9dY10vrv/2IZb32vDeWrN7335MXrWuq\n",
       "Tp43YC495Lz35vyU+qNptdTK8J49mifBy5dfA070OkyhpI+WP9ehRn6rHEvH7Dm++MC2MJ4bysuj\n",
       "yZEuzKgLr5RfurcsPaUMr35NX6vu8a/mbquhpcwm5M6l16aJbLTkQ3IKpQdmlMgY9OZGRF5+JBSp\n",
       "UyuvtVduqqXckvvX02eOhTV/mFt9YG3cW/Dq0PpG6w/rmSfHmzXevWdmTRtr2uLpUCpn3WP57C3V\n",
       "WfqsscpFnBBCCCE77k7fhBtyLiJupk3UuXR5u3AM0OquXQLSApxTtx7u9YgbtTTGat3gUXf6po4Z\n",
       "NkmpjaW2zNXWTT9LOx0N7Y47nRBCCCE7tIhHXhnoIV8704icd1hnKTXnhtbZdvSMqLVcK713uXPf\n",
       "421ROsu0zhq3TW5d1AZDtVBzNqqNddnPkVgUzYKKtrXUNy1yo2ffvWJ7WmTl5aznpoxLaJFd+0zN\n",
       "8Ty6URkR+ZbF3/PZuzOLOCGEELLfWN0iHt15TdnpyB16/k/bOUZ20Fa0o2fha/WPZaR1lu8gPeve\n",
       "KhdtRwlGndcROZuLvg6jWZZTLLKSjIglqVlMpTHfWr92zapb1qNZ6a3nmFMsV/m5RyS2l9+ziEvW\n",
       "cinCO8cbK56V6sUFlZ6pGhGPg+ex1MaIzBupI+p1ifTv6hZxQgghhCTWZvbs5TvsUvTfNqM45XmQ\n",
       "pbfMb/3VympWtRcNG9F5lLU0atq0zfteg3W/rPvcMr579Vtp3Hrpve7HlHFtWf9RL0dNhHXp/kU9\n",
       "A9H0kv7y2eDVa12z6rfa7j3/8joi5b02efr2pmaNiY7/6D0d2srodEIIIWSX4CJOCCGErJTVLeJR\n",
       "F8pUF97UwBLpSrGCFCz3XsmVnue1rufXIvVbgSKbpCWIqVbWkpD32LrPrUdFnts0/97q8iule2Ou\n",
       "NC7lHKw5FtDq0nS2gpjyPpHz13ttygqC8oLDZHkvyE72mdRXftaeJ7L91jzR+t9qnyTX1Wq7V1+N\n",
       "Kz0q27o/Xl9a9Wqy889yjFhj3bsX3vzIWd0iTgghhJDEzi7iUy3KfAdrUdpVWfk0OaUdZel1Gsvi\n",
       "siyQvN6Ijpuihycgcu+WQNTzMfe9KekwNUjSs9aneH8i82qsp6acJkfTM+KdsKxxrWxeh1VXnsfz\n",
       "WkWD6PK0aPtKSE9A/pzJPRuW7lJGxKMRQdYt+9obJ959kX1YelZLPA9N5B7s7CJOCCGE7DqrW8SX\n",
       "ZF1FdlURS6P2vLFUZ5Ql9eV+RLM0Ivl3hRaLuAee9Vlbd+mcu4aI904777bkRM+KtfPbnJL163kk\n",
       "W3Ty5GwCz5NnnVlHPZraPZ7aztUt4oQQQghJrG1rvyfPWDRK1+eiVS8tPRKhGdUJOPE8TtsF9ui3\n",
       "TfX9tu5xb6a0IzreonVosRm5hZHLqhnrLfNCjk9PXmT+eFaPVpeW15u/luxe9BzvtbKmPG8jfdPr\n",
       "WVfLVNneuOmt9yCbP/ZCCCGE7BKrW8S1MwUZyTjuhErnWNZ7edp3Kav3+WRUV6/92j8vylXK6I3X\n",
       "Z1Prq3lrIE9b0rlyy1m4ZSVrY6NkEXh94kVYW/pbullt0DxDmo7SQ2B5C/IyWpSzfC5IGZZ3SnuW\n",
       "yHStX6yyMp/VL1J/Obc1eZ6+eVul7BZ9xzRrTHiyrb6zrlnP+hLRvJFxqvWPFl/hPeescVS65rG6\n",
       "RZwQQgghidUv4nKnIndG2m4qihdZXnrnMtfPswy9snl6pL5R30hEfJ6/J17kb0tUcC+8ftwmtZG8\n",
       "3jjQLIHIO6v5X82ysuqMRO9q4zF6Lzy9PI9AdNxZ8mX/Wfpacy3PX/MMkfpYMiyZ0bkn5Xh1lYie\n",
       "hXttiD4L5fXoM87SrSTTS9NkW+O9pI9WTy6rxOoXcUIIIWS/wkWcEEIIWSnLifKJsQfUuf1qqJVR\n",
       "Chqq1dMKErFcQtG6PTlkXmrGlBfoE0lr0SkSADe1jpprWr5aHeW4H9HSxnSvzrys7DerPu17XodV\n",
       "v9cerbx0SVvPj+j9sOR4faHJknmlrlp9Vj9qdeTXI+PCex7Lumqel6WxGbnXXp/JrFoiLXFCCCFk\n",
       "pazOEl+LNVnaqXp5etYd3VXOpQuJU2OJ18iMeIJa6uhhbU+hVMe2x7RnUfbSbRPPk1Z9vLTStU22\n",
       "pYcOc8hQnuO0xAkhhJBdYnWLeM0rYnPU570uVtp5a6/JaK+glV6Hk6/xyPzeqxyWTOccxqXn/ZDt\n",
       "2nW0+6a9djPFIpFla159qZU9Vd6U+rU5FPE+eeVLWOXl/Szd05pxrz0bvPPwUtnW/BbemXyeXmpz\n",
       "5HlU+4yQ7fH6zTs7177XzqtSbIZXVrK6RZwQQgghiVUu4p71an2PXGvdHY1p2o5bs8BlWSuyVZMn\n",
       "dch3+qWd29TrkTI1fevJ2vbZXis11kt+36I7e60urT7PYvPukZdf8/pEiNRXsgS19nmWbcn7pPV3\n",
       "jQcsr3OqVWY9N7S/mizp0fO8bZYeJa/KlHntyc+fX1JmyRq3+t/LX+uhGb9bUfPeuhPR3avb85zm\n",
       "rHIRJ4QQQsiKF/Ha9wll2fH61LPXkvWu7Zg1GZb+mlUxxXopRfPW4lkIPc7ltGvefZtqMUwdD1Gv\n",
       "yFhXfo+tNlr31IpK1s718s/WPbKsotyC8SyI0nzT0i29tXPLPN3TxUOeg2oeMK1M3g9yHlr5o56N\n",
       "XL60FjVvjeyHvD+0+xQZ05HnRmRuybGnjelcV6tNsn2e3jVtLcUhyTgGTQdr3ZFjpNabpukakbHa\n",
       "RZwQQgjZ72xjET8LwFEAHwDwfgA/OKSfBuBSANcAuATAqVvQjRBCCFkN21jEPw/ghwHcH8DDAXwf\n",
       "gPsCeD7SIn5vAG8evrt4bpSIG6LkNtHkakSDGTw9oq5IL6Alv14bvNJKVKbmHqyRZQXzafk0l32t\n",
       "njlTXeyl+rQ+qXEXa2NEBkxGgq28ow6tXO+jKM+V7Olbkl0zv6w6tHsTvT+a61vKKulUkj1+to4J\n",
       "SkTmo5XHSi8dnbW6mz25rW2tqbv1/kTyWgFzHttYxG8AcPnw+R8BfBDAGQCeAODCIf1CAE/avGqE\n",
       "EELIepjPxIhxCMAfAfg3AD4C4I5D+gEAn8y+j+zNYU224u3Kortiz1KKyJd/tXKlQIxSXWQzRIN5\n",
       "xrw975c2jrbJFD2sOTGieSi8+RTVy5I5FW1ctNQVaZOWR+vH0lgp5ZOBb1r9U+SX2jhS8rx5ciO6\n",
       "eh5i6zktx2EuTtPjoKnh/NwWwO8CeA6Az4hre8O/Ezhy5MjNnw8fPozDhw/Pox0hhBCyJfK1zmNb\n",
       "lvjJAP4vgN8H8HND2tUADiO52++KFPx2H1HOtMS3YUFYOyfPCsiJnFlGddBkyrRWC2OtLL1N2pgB\n",
       "/B+CmDpmShZoRF/5uZTXq7+k50hER2/ulc7wW84ie8QFSFlSpmWtWnqU5FiewEh7Wq5rukXlWXpH\n",
       "zsJLVm5eJmoRe8/NqCWutatiDKkZt3EmfgDAKwBchWMLOAC8AcC5w+dzAbx+w3oRQgghq2Iblvg3\n",
       "AHgLgCtxzGX+AgDvBHARgLsDuA7AkwF8SpTd+pl46ey59rzMO++S6Zq8PF90V+jVu+3+3U/UnJdp\n",
       "ZVst8W2cudfWU1u/ZX3n18e0yNyJWq3Rs+Lo2a/2XPCuy3ZY/eG1zfKOlDwbWl4rzftstcPz2nhz\n",
       "x8LyUFiyS30W1bNk/Zc8XJm+izkT/xPYHoBHb1IRQgghZM1sOzq9llkt8ann0yXZpbPOUr4e13sz\n",
       "t0U4hbV4FiyLJ2Lt9Kp7U9RY3kvxGvSSv+Tx2KP/t+HdmzJGtvHsan1+D327mDNxQgghhHSAizgh\n",
       "hBCyUlbnTr/5gxKiHwnuyom49jw3jPf6QKm+UpCFFowi2zjmk+WtIAzP3TXnUUJO9JWNuepYkksz\n",
       "2uc1wU7RYxmpw0jtuKmRHx37ll7R9llBbN7c0eqyrnn6ae2xAsm0fFJPSw+rrHVdQwu2ku3x+jAS\n",
       "zCb1Kd3z0vOtNC5KbbXK1Y7JSJCe14eWXlo7s+90pxNCCCG7xOos8aVYUSOaxbzpYJweVvSSLNQa\n",
       "1qq3xVrbs4mgu00EdZY8HC31RD1CPeT2QLPQo+2fErjVKrMXm6in9R7TEieEEEJ2kNUt4t4ZUU/Z\n",
       "tfWMu6sp51CePlbauFNrOf/MKZ2/TWWULf/WlK8995uzPb2wzqS19kbak5ebMp49Wa3yIvVJ2bIf\n",
       "vDmhzanS/GoZh5Ylmeuff5ZWrLT2ZZome24iYybi8YvENnjpmj41c3zK/e75LLHy11r6kfyrW8QJ\n",
       "IYQQkli+qXI86pl4j/Mlq2xNNGSvOq3rY/1aORkFWWOZb+MMdo4+XCM9z3F7911Ebo2l1DpHp8zv\n",
       "SP1aO6fMjdb7YJ3H53p490Qr31JnL6znaMRbGRlvLfpa5WV/53p6dcr8pfiBGp2V/uOZOCGEELJL\n",
       "rNISX4q1lu+SSzt+ea1kOZcsAe/MRSur7Rg9+UsnMgaWMk48SmeDpXJTLBHvey9Lr6R3afyP1FiV\n",
       "EWtJfta+y7otr5yG5h3z6ozUHYlbabHeo+2R+b025/VKPE+n1w5NZ6mfVodMs57V2jO5Zkx5lrjn\n",
       "0a04b6clTgghhOwSq7TEI0w9nx4qayrvyW09Hynl73EOtwR2xcKO0jLWesdezNmf1nlz5KwdiP8i\n",
       "l1XnKMPLF0kvWZiexdWTiOdkCfMjer+3qfcmPEu92sQzcUIIIWQH4SJOCCGErJTVLeK5u8r6DEz7\n",
       "8ZK9vRN/PMWrqxUruOPAAftHCbRrnj6erFyHkpwWWuR5rqcexxy92ziVaMBWbZma+lp00NK9gKO8\n",
       "Di1Na6PMF713eblSHdq10nGD14eRtlnppb70ArM8/aaO+SnzOO+70jM5Mvdb9fHkler2yMfY2FYr\n",
       "uHCKfh6rW8QJIYQQkljdIm7tmEoWRnRnk1uu+d8egQpWEI3Uz2ujtcuWu1zr1ZFNWqK9g1Rq5UVe\n",
       "RdkmtZZlTZkWHVqspJKFKuvSxqEV8CTLtFi3Vh2l+SDrjXoitGeGZY3JNsu+lDpa89jzzmn317Ly\n",
       "I2k19eVtGst4z0Cv3qiVHpHrjSerHd517f54gW4epfuqsbpFnBBCCCGJZR0QljFfMdv06wnborad\n",
       "+TnafuifJVO6Bz3O/FvpPT6mytuF8dqrDVE52+wz+ZxZwv3zdIjoV5NnjvYqMRB8xYwQQgjZJVa3\n",
       "iFtnBNve9UWZeqYZseTkudwSdsWkPEa1mAdgM28NRCyOGqaOtylxANp5uiardN2SGyXyhsyUe7vJ\n",
       "+JZSfVqUfERWzbl7VBepk1ZfDys8KqcmHkurv1TH6hZxQgghhCRWt4jPbVHOsbuNyNSs6GjksBVF\n",
       "27o7XiLb1G0bFk8kWrhVr+h7xNpYitYfGbvReTH1PXGv32rekW+ZR6UI6Ei/yvZb+tS0pWXsWLpG\n",
       "n1OaLO3eWs8zrXxrfdH8OV7feW8NRSPrW9e21S3ihBBCCElwESeEEEJWyk4s4q1uxdEVNKV8JH10\n",
       "C3nBEiV3Ty7Dc7XKnwGM6Dtem/NHRabK3GZg3qbrtlxwLe5TD82FWXP049Wv/fCFlqeGlvbKca19\n",
       "1lyaMk2bS1aflX7cJRLg6KVHf3ymJCNavuRGbpFl6SVlltzm0YDMUkCjV7a2rjxvSz2RunJ2YhEn\n",
       "hBBC9iOrW8Sn7lpkObmTlNZo5LWKSLq3W9V2+ZaMkqVeqtPb0bYEWdRY1zU72R6egCUH6gG+hdMa\n",
       "8FLjWZIBYLKuVgu6NhAsomOJklVspY1zzfKeWXJKFr1WJmrZeR40rW+jAYiR8eZ546a8cmWNiWhw\n",
       "5FQvTOR1v7xOOS4inpma535+feo8Wd0iTgghhJDEsk2VE9nTdnLjzsi6tgZKr5tobbS+e+1eU5+0\n",
       "svY2WvEJpbE/dQ5ExmBNGWmhbuuelPqg93iJ3ofaeqf0o7wfPeIL5iBSx5x6aP1U8zydS7fh3qvr\n",
       "NS1xQgghZKWs3hLfVWp2eD3jBNZgxa5BxxpKFtba29tqrfSyoDWvwEi0fJ63tj2ax8Srv+TdmMuz\n",
       "0GLp13oDa+tYghelpa6pehneuMVZ4icBeC+Ai4fvpwG4FMA1AC4BcOqW9CKEEEJWwTYX8ecAuArA\n",
       "uN14PtIifm8Abx6+n0BNxHFrdPJcUc0yctiLxs53/VZ0ab6rbY1ybLFMpmL1b21UdY18LzLXKhst\n",
       "U6uLdj3aptq2eZHOUaJRvVb9lvVZkivzRceqNmdkuVqvlhe1L6OYrTGkvQ2g0Wp5lmIXpH5S15Z5\n",
       "ZUXte88vLwJe1heJ7m5Fu0+abvm1kr7WPKilpl3bWsTPBPA4AL+KYy6CJwC4cPh8IYAnbUEvQggh\n",
       "ZDVsaxH/WQA/BuCmLO0uAG4cPt84fCeEEEKIwTYW8ccD+Buk83DL77CHY272E9DcFq1uQ839Ef1h\n",
       "AFmP5sLz3IzRcrn7zXJLasE3lvvdakfvYwRLnuUqmurK9/SPytbcpnMFCdYE+XhjUtOzxk1vuQE9\n",
       "N2LEtZrntVyo3tFKdExGdcld+5Z72dND+1cqZ+nhud+9e2F9lvK8sWKN61pZlv5ael5fpM2R44mW\n",
       "MWI9a7X82tGAnAulZ2upL0tjKtK2g8Uc/fk6JNf54wB8CYDbA/gNJOv7dAA3ALgr0kJPCCGE7DuO\n",
       "HDly3F+LeSK44jwSwHMBfDuA8wF8AsCLkYLaTsWJwW17QJ//CKEHtTI168hLy9PzuuTniEwvvXSN\n",
       "zEO+s4++ogQc/8M/0bJTdeiJ1h4rT1TH0vwYsTxampWl6Rb1VnkyLflaftnuUv1Wea1O69mhXY/0\n",
       "V9QTpMm12hnt/8jYjYw7mVcrG2m/pa/XTqmXUofa+CX82MvY8hcBeAzSK2aPGr4TQgghxGDblngt\n",
       "e1FrIWJZlCzeqfVEZdVYGFJfr7y1m6zRYYqF1qNvWmS35N2GRZrXKz/PVccmZXrjT7sG6NZZ/rm2\n",
       "HVqZiCfLKlPjIZjDu2XV2Wv8TvXWleZ8qXxUxynjoGQ996y/19wbdF6sJU4IIYSQBla5iEci9yK7\n",
       "nzFSM8/bcsZtfZc75eh5Wi5L0y1y7iXLSrlSnxoZEb1LZTdp7UbHQjTvXEzpa+961BuUj4n8e824\n",
       "zfGs3fzaaK1Y96D23uQ6y3qsZ0eens8F61xY6pNfi8wrq09b02Uf1daZy7HOoUvn8pp3QPaF9UzS\n",
       "+s+6X2Of1ozPyDPeejZaaPmsMWLp6rVdk6exykWcEEIIITt0Jt757EGNRFwipTPVbbZhzjojZ/hL\n",
       "vm85tfeotl2lc8roGW8N1lnzmFYzbqUcr02l9Jo+zuvt2ee1tNwjrf+8stExUsrvpY96lJhr3mrn\n",
       "4rX3t9QX0ftSo29mjfNMnBBCCNklVmeJA/FdeQntDKdmxxs9/43oULs7bsnTc5c4B73r33Z7Iqy1\n",
       "zXPUY80BwLeYIvM4UufU+VGrW5QW620OpuiuWJVhT0JPj0a03mi6lWeOeQ1a4oQQQshuwUWcEEII\n",
       "WSmrW8RLr3oAda/eWKH8kddaxlcmovVrrxdEXOneawylunM51usuPZkiv8Zl2FNeCz36UXO1Tq3b\n",
       "e8WnVW5teitWEJx8PUjOWXmfa14n0vJa/dbjKKplTJbqrdXBKj9Fj1KZ/G+NnJ5zWNY9Z9t7PGuj\n",
       "5Ve3iBNCCCEkEVnEfwjAHZAO1V+B9F+IfsucSpUo7Ypqrkcs7lqigRGahexZCJacvKz1CoWnW+Ra\n",
       "lE0EVUUCTLatQ4uMktU4WojRuntZPVp6rexaPEtmypyNBDe1WGw1fdeTiNchZ6oX05OpeTCs71Of\n",
       "4SX5pXxT6y2VLb1q11OXyCL+LACfBvBYAKcBeAb4n5MQQgghWyeyiI9bh29D+n+/3z+fOjF6nTX0\n",
       "OE+q2eFFzrYj519endF4AC19ExbsFDT9as8ul0StddBi/fY4E5+7rMU4ZyLjvpc+XkxJrezSnJpq\n",
       "9ZbkyecbELO8a/XyxmfJu2TRajlHPSJWX809B2rmb88z8XcDuATA4wC8CcDtAdwU1oQQQgghsxBZ\n",
       "6k8C8FUAPgzgUwDuBOAMAFfOqJeF+mMvQOyHFqbQQ1bNjw1IK730Iwm1P6bg1b0G1qRriVJbrB+R\n",
       "mLsPvPNTLbI+ciaYX6tpd0lmqZyF1EPOUW3OennkZ5km9Yk+y7R2WM87S4dSn1ttjXgHrXpLbbP6\n",
       "yMMr02tOeOtJpI7oPK3pJxjr9UFXk8QXAXwBwDcBOHlI28N2FnFCCCGEDEQs8QsAPADAB3C8G/2Z\n",
       "s2jkszfXrmsQPqlcizXSomtp51a7U1wjvftvjWyqLRHrDdh+LEKLl6LWAozkjTwHSt6VWk9HbZ01\n",
       "7bI8Fa3emGh/1OhVQ0Sudz2iQ++5OdUSfxiA+2NwZRNCCCFkGUQC294F4H5zK0IIIYSQOiLu9MMA\n",
       "3gDgBgCfHdL2ADxwJp089jbpsqtxFbYGPeT1tAbxjGXnDu6z6q99baJn4Elr8NMS8MbMNtpRM4bz\n",
       "/DXyAT2YLNL+KX2itS16TDDS2taIXlE50WdSbWCWJre2z+R1zQ0v9a45aoi0w8N7VvQ6Cojkb9F3\n",
       "qjv9FQAeU3/iAAAgAElEQVSejvR+OF8tI4QQQhZCxBJ/O4BHzK1IkJu3NLW7t0jeKZaFJT//bgXC\n",
       "WTveHCufpo/MX9LX0ntJ1Oi2iXb0qMMbJ959i97H6Pj00r0x6+ngEfVW5WjjP+KNKekv21CaQ5r+\n",
       "XhnLyybbFqE0DrxxE73nNd5HrXwpXdNL03HK+IrouclnXeQ5743j7J40W+LvBfBqABcD+NyQtgfg\n",
       "dQ3tIYQQQkgnIpb4rw1/5bZlK6+YAfbOsyc1Z0+lPKV6ai3jVu/BHJZ46z2Y6xx4imdl03hjrGe/\n",
       "bpqopR0564zMr4g1U9KjZTzWnLFG5EXqmaJn7bOm9exZK2tZ31E5PYh4kVo8C1qe3vN36pn4d1dr\n",
       "QgghhJDZiVjiZwH4BQDfMHx/C4DnALh+LqUcjjsT13Y+rWfjkfxa+eOUC55vj3k9GZE0Wb62rNaW\n",
       "nlZc7919tL4562jVybo2Ejkf1PLmaV791rzQxqZVh6Wr1k5vHlrn0pE215wleu0rtSlarheW1QrE\n",
       "21BTVw+53jjwzr171KHly+uXeGNHyrDkRD0amu6evhWomSPviV+A9IrZ3YZ/Fw9phBBCCNkikW3A\n",
       "FQAeFEjbBHs9LazouXepfPT8zrNIas4HZR1W+Ug+L//SmOscfVtE+7z2rG3q2VyvMj3ujWdxR/TR\n",
       "5twoz/ruzZmSh8DS3dMxSqkvvLZEz3q950aPsReVFfGSRtKiz9GolV2635ZHIq9LlvGuCZ2bLfFP\n",
       "AHgG0v9mdhDpnfG/C5QjhBBCyIxEFvFnAXgy0i+2/TWA78B2ItMJIYQQkhGJTj8DwLeLtK8H8JH+\n",
       "6sTo6T4tuZJq9KhxD1n5Iy6wSD215Vr7tNVl2lJOc5Ot1ZUO1P+8ZbTP8jw17k+vTMm9GdXVC7Ar\n",
       "uYdr3NJ5mVK/ae3Ix1euh6avJbuXK1nKjI4Nr11eutYHVjutIDGrrXlaqZ2aDqW+iIxlz60+5RkZ\n",
       "eeaW7lPLczFiif9iMI0QQgghG8SzxB8B4OsAfCmAH8GxQ/XbIbb4z87UwJnIbk+rSwYtyJ1dZNdo\n",
       "WTaaXE+XmvJTLACL1v6PWHve9ZK3Yg14VkTU8phKL69T1GpuaW/JcquxkCLWpLS483KRQDsrqCnq\n",
       "UYjKtizcPJ/8bGE9i0qyNB3ydO8ZVOslsWREkO2bg0hQXGkeeffUwlvET0FasE8a/o78A4D/4Eol\n",
       "hBBCyOxEtiSHAFw3rxph9npYI5u23jap7xzWdg1rtox70ON1nGgfRjw7NWfrmtVpndfVxI9MeW2n\n",
       "VW4pn5dWGxtTo0up/rnrbSUS49BD3rbpqVfP5/4wNpp/dvWfAbwUwP0A3GpI2wPwqGbtgFMB/CqA\n",
       "+w+yngngQwBeC+DLkDYNTwbwqQl1EEIIITtN5Gz7VQCuBvDlAI4gLbB/NrHenwfwRgD3BfDAQf7z\n",
       "AVwK4N4A3jx8PwFvBxtFWhO5nDGtJDPPG62vhIzuzM8DrTxaXXlZmW/u3e9c8uc6x+pNzVld6Xy4\n",
       "NBatMlbsgJU3twC9uSXraz1Pz2XL81Ern9SlJNcqq815TSet3yy50oIvzVHvbN/zkOTf5X32nmU1\n",
       "yDGR62s9bzxZ1merv0q6a7pFsGRqc6BFhpbW4lnK8eZETmQRvxOS1fw5AH+EZDVPscLvAOAbAbxy\n",
       "+P4FAJ8G8AQAFw5pFwJ40oQ6CCGEkJ0nsoiP/4f4DQAeD+DBAO44oc57APhbpN9ffw+AXwFwGwB3\n",
       "AXDjkOfG4fsJRKNTI7s7LTIwYkl5u3WPUj5PH22nWNoda21Zi0UrWeL52RQillJtBO6YNzpH8nRr\n",
       "HE3t95rxVtIxOt80j4E1JyzvgjXfxmv5OX5JZrSdkfZobZJ5pF61dVmyp+jtyfOeezVyS7poz0Gt\n",
       "vRqlOBJPxyitYyWyiP9XpDPsHwXwXCSr/Ifr1DuOg0gbgZcNf/8JJ7rO94Z/hBBCCDHYhll2OoC3\n",
       "I1nkQPovTl+AdOZ+NpLFf1cARwHcR5TdO++8827+cvjwYZx99tnH7Yo3ibZb16JtPQ9ALkM7/y6d\n",
       "J2rlrbMVTS/t866w9DZ598vLL8tGvEb597yOqBxNVmveyLjz5kWpTm/uaXieKk9e9MwygjV/tTne\n",
       "Iie/nhNpT0mml09+zuss1Sdlajp77fKes14Z77kukf3nXdfaWDmGmqPTe3MDgI8iBbBdA+DRAD4w\n",
       "/DsXwIuHv6/XCh85cmQjShJCCCFLZxuLOAD8AFLU+ykAPowULHcSgIsAfA+OvWJGCCGEEIO1RTnt\n",
       "AbZLyHIb1+K5tSzX+XFKBtyImgzPfWO5lyKuH899uS2Xs+eemqpPjzGwCSKvtcj8Xp/1fK0lMpdq\n",
       "3dyavnm9ml6RoyCvPmsOR+RraMcQuRwtn9Y+T9eIa13KLOkh65Jplu6WO7z2yEcj8iyMPAdrxqHV\n",
       "jtox6cm06ih9DxybqIleYNstkdzajx6+Pw3A/wLwfQBOdsoRQgghZAN4lvirkVzct0b65bTbAngd\n",
       "ji3q586rmsrNWxhvx+bt3iS9rIxSHbnekbqiu13vu7e7tnRcsuUaZekW+EjUK6JZxkD5XpXGnVeP\n",
       "LBexxkrzsWYe1lhEEQ+XZuVELKLIdUu2ZylG6qjxTtTM31rPXLTteV5vLIxYXo+acWPprOUZZUx9\n",
       "1kU8JlK3yFrleVOG79WBbQ8Y/h0E8HEAd0P6YZbfBHBlvMmEEEIImQNvEb8Fkkv91ki/mX4HAJ8A\n",
       "8CXY4n9Fmu9yrF2V3Pl4O64W61yTXXP2E7nu7UZl/siO0Eobyy3Fcu1hRXvll2Sla/fRy2fdZ6tN\n",
       "te205osmX7Mk5BzMr5csvGhfRPN6OkV11/D6Yvwsn0mWfpYFauGVqbnX0vIrPSu9vrG+t5Sx6m15\n",
       "fnp5audFyUOSyyzdH1k+8rmEt4j/JoAPAvg80g+9/DGAtwF4OI79PCohhBBCtkQpOv0Q0v8f/kkA\n",
       "9wTwNUj/WckV86plshc5yylZW5u2xuaqL3qmugvUtG0t/VB7Jh5N76XPFB0i87GX/nOOjbl03OYY\n",
       "7Vl3y7O2ZZzV5tk1Ws/EgeP/H/EPD/8IIYQQsgC8s+0HAvhTANcD+GUc/5+evHNOpSLk50PaOYR1\n",
       "Pj1e9zhw4Pj/xtOTJctpadZ5iTzXrJXteSK0spZ+S6I1rkDLu7S2aZRiGGrTW9o8jvHa2JFIujb2\n",
       "ouPeG7eeDpp8Kxq8VE/eDm/+5mmluap9t3QqpWvXa/tLyojqpMlqkSHleeNDiwmJMPZL6zOh1K68\n",
       "jmj+yPWIvt4i/ktI/3/4A5B+HvWtAO41XON74oQQQsiW8dzptwPwB8PnlwJ49/D96XMrRQghhJAy\n",
       "nq1+BYBvAvDpLO2BSD/4ckcAd5pRL4u9miCJTSBfobECOQD7RwDktal1e8EkmwqSImUi961UtrXO\n",
       "XvJ61W/l69kn2pzz5uuYR7sWmV+a61ceM9Q8MywdNdm1wXuablJunl/LW8rnBSVb7dDkRnWU6Z4O\n",
       "1nVrHNbOXW/sef0kxWiyPXf6+QDuJ9KuBPAoAL/nlCOEEELIBlh+5M/xnGCJR5li8UZkT5Eb0a20\n",
       "e9Xwdo4l+WRePEvMuxetFkBEn23c/x71RrxggB7UJtNrruV5PMtQ3uuafFMs8ajlWbIytbojlrhF\n",
       "jeXv5fX6qcX7WfIWWF5Pr+1efkuG482ptsQ9frmxHCGEEEI64ZlzpzllrgRwRn91ijRb4hFarIJI\n",
       "mVZL2zsLKuWdqy37kbn6peV8GJjHmzSVXn2kWXmtZ72WzBaPV9RT0qpXJN3Sp5fsyPVSmU17hmqe\n",
       "m708Pr3zRsp7lrgXnf53AP7KuPalrcoRQgghpA+eJX4tgG+GvpB/FMBZs2jks1dzDmHhnDlsdIc9\n",
       "x24TmPYfgPTeQc4hd+421OrTS4Z3RgnE/lMRKbeH9TD1nva2XKPxABEZJX2XNB9KHrcWK33uuRLx\n",
       "bETKbYOpz5nezzw0nIn/HI7/lbaclzRrRgghhJAu7Ex0+rZ3btuu39JhitWyZNbYnpJVVhvpumSs\n",
       "s2SZViqf59/UueaUuuW9lHK0fC1Wae+0aP2a3qW4gW3FcrR6PuesY4qXGJ2j0wkhhBCyZbiIE0II\n",
       "IStldYv4gQPH/0800m0l0+V1r7y8psmz8Fygmi6lej09rDZ5bjPNxafJrqWlTA+8wL6lEHGp5p/3\n",
       "9vaOu0/yb34vS3W19kXr+JdoOo7ty+V5c6PkpozopN2DSLlcV6mLV3d+j/J/Xr6S3nmfea7psW1a\n",
       "Wa3uFjS9tfuaf5bXW+5by3iW7WwZP1p+2b95eqmOUt9rxzelMtFF/PbD3zsE8xNCCCFkZqKL+GXi\n",
       "79Yo7a5kupbf2mFbu+YpeHW11lsKKNHq0L5rcntYXNuiRZc5rfforttKbxkTU+gd+OPJkm205sNU\n",
       "feSYtgLPWuRqtFiZ2nXPk+GVn/sZpqHp4+mqWe1SXvTZtUnvW2lMtgZxlmSViC7iy/JTEkIIIWSd\n",
       "Z+JTX5nIy1nfI+eZ0fOdFt0iu1jNstfOVGvrXSJz7biX0F7LemqNUWidD9YY167NQckyi54vavM4\n",
       "ctav9Z0Xx5KXsfTsMQetdnv1RGOHNKyypTgA+Tnvy3wcyTGlyfVimmR6tG1avID2HC/1a4Re8yVS\n",
       "3+oWcUIIIYQkVreI1+zII7Ks79HzTGvXLrGsdi890i4rYlLqJuvS6t3k+VItUyNLl4pn5dREMOdl\n",
       "lng+7tUTje2o0ceKjJaycx0iZ5oyPT/79SLBZTsjnoFcRk26rDtSp+xv6znrPa8s2Zou8rpVl9em\n",
       "KV6O/J5r7bWejbJ+6X2J9rFFy9q2ukWcEEIIIYnoVubeAK4B8JUA/nw+dYrsLeEMsxZtl9+zHdZ5\n",
       "U009m7K8SJlt3guvbnnG2XsMT5VnyaiVnVtX2jyyrDJrzpXStLIlnTVPRWt7Ldne+bZ21u3V7fWP\n",
       "Vc5rY6RsyYO1jTkWeT5L6z77rK7XUUv8muHvNhdwQgghhGSs0p0ePV/wyrfkLZ1518pu1cmjtLu0\n",
       "6pk7mnJXzrBLtI6DvFzJgqg5W2s5v/RktNzHiFytTG1fehH+1jm4pWcpVkE7624hYnHLvvDOZ8f0\n",
       "lvFXK6Nk0dacD2vnyi0xIbm8EtbckPp546I0tkvn+lrdET1zVrmIE0IIIYSLOCGEELJaIov41wL4\n",
       "PQDvBfC+4d+Vcyo1Nz1dxxG3n3RN1biqIjqMMnP5Mm1T7PfguJq+r3G11cqOyIle0+rVXsmJHtXk\n",
       "8iyXbO6ylkFUeZ0lao6XSsGg0ftluYW1cqVX2KbQ8wjLa0OtHOsYoEVuy9Fo6/gvyY0EFFqv2uXf\n",
       "a/v1YCDPqwA8F8D7AdxUJd3mBQCePsh7H4BnArgNgNcC+DIA1wF4MoBPdaqPEEII2Tki25i3Avj6\n",
       "jnUeAvD/ANwXwGeRFu43Arg/gL8DcD6A5wG4I4Dni7J7chc35ZUX77UG7xWTVtnWNe+VDq2N3ise\n",
       "eZrEs3zmoKXfesqecv82SUlPeb22Pd49twKMpvZbaW7leby8ll5WezQ9PBn5Na9+mUfTJRpoVWqH\n",
       "9nwo6az1rcxnpVmyveeNJsP6XNLbyl96fkbnjSVDEpXp5S09273rgbGkJkYs8RcCeAWAPwTwubG9\n",
       "AF4XKKvxDwA+D+DWAL44/P04knX+yCHPhUj/Y5pcxAkhhBAyEFnEz0X6kZeDON6d3rqIfxLAzwD4\n",
       "CIB/AfAmAJcCuAuAG4c8Nw7fXfJdUPTcwjuTsK5Hd8olNF293bu1w9N2xaX25WdPkV1rD+t1Tus3\n",
       "Irv1jGkTRMdjnq7t/iPWhndfNcunh/fCm1tRD5rUo3Q/o7Ii1pTVDmvORTwHpflqedjkfdF0yWV5\n",
       "czmSLtvrjVHrPNir0/MaaO3Q+tmy8jU5UqeoB0S7VuNlyNMiY17TzWvfSGQR/xoA90GyvntwTwA/\n",
       "hORW/zSA30Y6H8/Zs+o7cuTIzZ8PHz7cSSVCCCFkGVx22WW47LLLQnkjZ+IXAHgpgA9M0CnnKQAe\n",
       "A+A/Dt+fAeDhAB4F4GwANwC4K4CjSJuHnL2WXfhceDt6a2ev5R/TNPnWztey5j2rIP9utWeJVqtH\n",
       "ZPe8VLQxA9g79+iZYaTOaHpUTo0nJ1KXN2dq8Cxszxr2zky1MlFKsi1rzLPMrHGiUXtO7NVhXdfa\n",
       "JT9H2izzaHpGx8XU8V2bv+aejd89z84oVkuMvGL2CACXI/30ao9XzK5GWrRvNSj1aABXAbgYyXWP\n",
       "4e/rJ9RBCCGE7DyRLeQhI/26CfX+ONJCfROA9yBZ5bcDcBGAu8N+xWwPiO88p+ymPNmWZZTrVpJv\n",
       "yYro58nR6onWsQnLtfc9WzO1FnUkf2v/tY6pkm4la7emLTVti8zNSBuic9uT24PaPpvqtegts+ZZ\n",
       "aVmnU5jyjPbSrTqsemrHtOi35uj06wJ5ajl/+JfzSSSrnBBCCCEB+LOrhBBCyErp97t8m+HmwLYl\n",
       "uF0jgW21QSyabK9uS7aXZgXMbLs/e7P0NtUGrPW4X1bQlPW3tX7PLanV7+WLttXSPRp45gQUheZV\n",
       "rcxIvmDAUzG/d08junpBWrJ8aSzXtEfWb+kQdXVrunnz0BtTpfli6arJDtIc2EYIIYSQBbJaS3xu\n",
       "lmjF1QTZLE3/KUFKY35gOT/csskgwNoyQPwHJqKy5tC1Vtamx4BmZUUCn2o8KpH8m6TksWuR1+ox\n",
       "mrNcy/NnzvwReaAlTgghhOwWq17EK84SinIirweUykkZ3vcW3UedSmcv3i5wzNer76JIfWp3qXt7\n",
       "8Z+r9ejV7k1YTbWvtIxltHHSou8oy+szbe5MxdJVjgFNl4hOcq6UzoGj58HW98hZuqyj1KcyX+nZ\n",
       "48nM+2DsY+/5Ea2z5pxYe37V3MeR6HO7dL10f6KyNsGqF3FCCCFkP7O6RXzcJS3tzFfDigqPEIkS\n",
       "nWLNa/UsYVdJ4vQY/xGrpHQ+XbKQvfp6jLnIGXTJa5bnq9UvMhentrPWsq757tVpefi0cTHl3Fzq\n",
       "VWpb1Osiy2p6a+PD0qPk4bTy1ehYW251izghhBBCEmszvczo9NpI3CVZ8tbusOYdWasssL2o1zn7\n",
       "eI7oz9Z+7imzR71z6OFZ5JFo7ZrPtbpH21eKFekRjd2j/Nx1TtFvrrEn8015/vXUa5PyS+MTjE4n\n",
       "hBBCdgsu4oQQQshKWZ07HYj/T0laXlluyo9KtLiWLLnymnQnWa+pSLe5l6/Uhk26Aed06XnHE0si\n",
       "GvQYCZqx7rPlptTq91yaXr1aPV4bI67S0niP3n9vXsk2yXlkBaZ6882itV9luifT0snqO61vNNkR\n",
       "nbxxUNI7cm9q6otSGr/afMjb4I0NmceqRxtzUk6ukpZIS5wQQghZKau2xCMWSO2ufU6L1Qvq0doV\n",
       "kaOVb2Xb1uom6t92G3N6BGRtm16enLkDm1q8N9GyU+vW8vV4xvSid9Bc76CvWqb2bc1Y7XUfGdhG\n",
       "CCGE7CCrW8S1nao8nyjt4q2zn+iOqWUXKfWU9crv8kzkwIEDatm8/Jgnek4nqTnjm4Oac2EPL++S\n",
       "LVrtc21aLx1a6rLOD62y3hlsPrctOdH2a14vOU+mWOGltmrPJyufV2ftPbDK1I6bKfOydM+i97R2\n",
       "bHlMfQbUjNXWumrKrW4RJ4QQQkhitYu4tRvKP1u7mZbd0ZTdW8na13bmhShF1erusWNeqqVao9dS\n",
       "2yCxxoXlaQGOtySj56wt+njXSlHMMn3qPIxYZzKfZeFF9Iq0T96HSN15/pKO3jNhzFvycFh1aWPJ\n",
       "0jeK5yXUvmveSS3/HEQ8Qxo13pFaj8gUD+pqF3FCCCFkv7O6RXzqrtHb/Uw9E5yCZul4u+fROpO7\n",
       "di1tTN/meTdQf35WU3aX0Ky9kcj5rDdutHqstCnWQU9aYlW882XPGq6pL8+b/9Uil7V8Jf1LnpGS\n",
       "h6PkdbAsy8izQlreWn96VmqpDu8577UrGjcw9b7XlrH6f5xjpfvtsbpFnBBCCCGJ1S/itbuXUlR4\n",
       "r3qilKJZLetC5res70h9ss6p+lv58jpadsJTvC5LRrufpfvY4zw8Yg1qsrxx1cPj0zJGrXFVskpb\n",
       "40iilqTnYcvn8xSP4BQP16iHJ7dmrsq+LfWhJytSX2u+WuZ6lkyxwEdWv4gTQggh+xUu4oQQQshK\n",
       "Wd0ivq3Xh6a4UzxXWQ93SvT1sB51aTJr8nkutN7u/F5tbXFh1lBya9e8EqMFUVl1lKg9momOwxLe\n",
       "q181wVxSrwhaMGj0NSLrmtUvMhg1QsvRSiloNs9TO2ZKgcbRdrXOp5pA5ymvsnmBkBG9aqkpv7pF\n",
       "nBBCCCGJfb2IW7vsXq8faDLnDNDILZVNeCxqLdSWQKv82ra8MK2BZSVa+6OXxavpIa0VL+hJ1h/x\n",
       "HtTqNcV6svSq8d5Ywa+1AZ1S5iY8SJ7smrFVE3Bao7tXrse9lnXVyiwFHUfyl/JY47FG1329iBNC\n",
       "CCFrZh3v4Bxjr+dOqyfbrt/SIX+1a9v67XdK9yB6j9ZwL71XrGrauJS2tlpyS9B9E/Qa2z2RdfbQ\n",
       "oSRzjnZmlrq6XtMSJ4QQQlbKKhfx6BlC5Owij9acco4XjSa2zh8jZbwfXxh1KEWdTjmz3gQt50oy\n",
       "bRPtaKnDik62rrfW19oXtWd9tW9dtERh52M6Og+8udw6vmrOhecai5FxH9HDe+a1Ph8iEfI1z7Kp\n",
       "z2NNJy82wuvb6Nm9ZpVPIeq5WuUiTgghhJAVLuL5bkfbUUYiJfPyVrSmt1OU9eb/vHrltVKU6qhf\n",
       "5B3YvG5rd710SzuqXylavDaCuIU530HX8uT3tebsseY93dJ8KdUTtX5r8mnzuda7ZM1N+dyw+lfK\n",
       "0PT1vGBeGyOMdVvj3mqbNQ7y/ouc57Z4c7RnpHa/Ss9Kq+9rkc/pyFsHmjdI5vGetdHYD+t7aX0Y\n",
       "mXMRfyWAGwG8L0s7DcClAK4BcAmAU7NrLwDwIQBXA3jsjHoRQgghO8Gci/gFAM4Rac9HWsTvDeDN\n",
       "w3cAuB+Apwx/zwHwspl1I4QQQlbPnAvlHwP4e5H2BAAXDp8vBPCk4fMTAbwGwOcBXAfgWgAPLVWg\n",
       "uZI0d5nlbi/JlvK8fJJSPZHgl1IglKWn5xbd9isvJfdZT/223dYStfpFXNZztXnKeI78kIcWFDSO\n",
       "h8g8sORbMvJrXt95R27Wd28utrymVirX6563Puu0PF6ftcjpRY08y+2vHceO6TVHPZ5+NeU2be3e\n",
       "BcnFjuHvXYbPdwNwfZbvegBnbFAvQgghZHVs02W9N/zzrruUrNkWSydSV6Rc7as0PfCC8Mgy6TVG\n",
       "W8duXj4aZKd996zlJQRW1s7fyLXeaH3WWv/SvFBL08ci4tG0gohbxncP78fB6lqncSOA0wHcAOCu\n",
       "AP5mSP8YgLOyfGcOaSpHjhyZST1CCCFk+0TXubm3xocAXAzgAcP38wF8AsCLkYLaTh3+3g/Aq5HO\n",
       "wc8A8IcA7oUTrfHjvte8auMhd1atu8b8VSDr3ESr05MVqa+UX7um6bof2G/tLdHaH1FLsSR/Sv2R\n",
       "sa9d97wHXlrNa0O1Z6+yDitGICoD6PN6oadTq9xIP+do/dD6zLae0Xk9LeOj1KZWRHvV9XpOS/w1\n",
       "AB4J4M4APgrgpwC8CMBFAL4HKYDtyUPeq4b0qwB8AcCzEXCnE0IIIfuZtR2Y7gH+jxr0JPIjCjJf\n",
       "iwWd07Lr1+qWO8T9YoG2WE7bonYXP0d7SlZgrYenpr7xO+BbPVPHsDZHShH0NW+MRCKKa+aiN3dl\n",
       "xLQVQe1ZrFGLMlJ/pHxerpQnMv60e9jiIfHqsb7XzstWj4oxltREvotNCCGErJTVL+LjrqUlMjAi\n",
       "W+6a5K6qdOZtyfW+R9Dky12v/BuVs1YKu9jFMd6v/L7VnDW3oM0VmZbX3dvyz+9PqQ3evI6O6Zp+\n",
       "qnmOyDoi5bRnhyVHu0eWDqV5H3mGyXKR+r10K4/XDu2z5SGJzBOv3mhbS/VE75NXT3Q+WKx+ESeE\n",
       "EEL2K1zECSGEkJWyDr/jMfaWHKhkURvcMLWOOeST/nhHMdu6f9EgnV46Tg1am0OXSD4g9vOxtWmW\n",
       "3Kk692TOcRBNn1oXMP2oaK6+t4ISwcA2QgghZLdY3SIeDUToGfgTzWuV1V6z0GS1fI8EnEQCPHYJ\n",
       "r2+W1F4rCC8aRFNKjyADm7TXv7RxWxNAWNLbskq9wB8rEE/L5wVvWXNWC3zS+qFGTy+tVL/13dIj\n",
       "Gpwm+8F6llrXvdfrrPJTArxK/e0xltUCSUt9J/MDelC114fRtsm5VWrf6hZxQgghhCSWY5bEOOHH\n",
       "Xiymnnts4izGq8OyTkamniN69WyCKfVuS+c5KHlntPu8qb6TVkvkdZ7SmM1lefJzeVY/TNW7Z19o\n",
       "FtSof638qfmWMLdkf8jPWn01460HU+rzxvDUtceqDzwTJ4QQQnaLnbDEtV27xNs9l9IstF13xGqw\n",
       "rI5RhpamnT9puz7LEijptQvWrWzjktsUGbN5Xs2qqSnrfc+xrGGtbCsRi8WbW5Y87bslR2LNsVK5\n",
       "qXj3Ir8erTuiZ682yvwly7RW19LzzRtDpWe7pps2r6wxYcU5WWPR80xUQEucEEII2SVWvYiXzh60\n",
       "nVOt/Nbdt2UxRM8WS/q07pqtuuewNDR5Y1qvuqScJVvfOSXrM2JNyd29V740bjyLUJsHMk37HmlL\n",
       "67iTcyFCjeWn1be3d/zPMFufSzpIudr1vC7Pks3/RevU6pL1yGuWbqU6IuTyNDmWDt7zJSIn8qyI\n",
       "jAkt3Rv/Xt9aunusehEnhBBC9jOrOxOvOcNeolU25QzTOs/0dtI9dJvSj1PjDlpklfopUofX75tm\n",
       "2/WXdOh5j3vqtS1K56havlq5tWW8OISo3Dn6uhSzsS095q6vluG+8UycEEII2SW4iBNCCCErZfWL\n",
       "uBf8EXHLRIJzagNvSsEzHqVgFqmjFmASDRaqeW2lBcsN1Sov6iK3+qSmjimBJkvECwKKftfK527a\n",
       "2gCndAMAAA3BSURBVOOcSPCbNR+jRyRyDtcED8q6LL08vMCz2nGV93Okv/I6okFpU9rq6WPpreni\n",
       "tU8rE6lfS4+M77y+vA01gZ0tutaUX/0iTgghhOxXVh/YtmmmBPFYZQF7Nxy1NCLBWLWv5KydJQSk\n",
       "WFj3bRP19g5enKILUD8eWwLCZD1awFckwMqyJHvNrcgc1ua61b5SHZG0SN+U0rzPUnePaNBgpKw3\n",
       "D0ptntKGWrJ2MrCNEEII2SVWt4hPPaOqqUf7Xnu25Z2zj7s564wqsrPLz8Dz8yRLT7l7nHqOsw3m\n",
       "PsvvRelcb0qsQY88eb4Wa7iVkvdp/G7VEYkb8erSZEWt2NLZsnZmWhNrUIrFkPq2eAajzzDLS1Rr\n",
       "hcsyljzvjFnL2xJT4LUhTy+1OWLR96LUztUt4oQQQghJrMP0OkbzmfhazkejeazzIEtWqf3RM0HS\n",
       "h9b+rb1Pc9zH2vPWTdRbKlPTb958zOWNtMy/0jn2lHNW69x8ypl3tM6W/DVltedgL11rxrUcB6Vy\n",
       "U+fFUA/PxAkhhJBdYt8s4rU7vfFz9AzeOv9q1U2LgpVnOpZVLi2FSB2lMyDSl9b+rb1Ppeva2W1p\n",
       "DHtn0rXWmCXHi9Xwzsu9eiJyAf294PG7dq4q26GV1+6bdy+ljFxHrf1yLkfmf37+6/VnzZm+19e5\n",
       "3iUPQbQuT/fo/dX0sPqvVJd1vVRe08dbf3L2zSJOCCGE7BpcxAkhhJCVstOBbUsMzpoS0ASUg2h6\n",
       "BMRE05eAF7Dj5WmRuy2WoMuUwKU5WULf5NTMoU3o3iuwqrXe2nyRcku75xq9dWRgGyGEELKD7Mwi\n",
       "PjXIZmq9pcAGGeBSGwhnBcKMu+ySfKs+L7itlL5UegTpbaPNVhCLF/jTUkcLM1gVoXylIKceekUC\n",
       "31oC7bzAttxC9sp6OmuBUJI8eC1Kqd+9Z0okyEx75uT9pLVNtsm73oOo7FLwnCavVxDhyM4s4oQQ\n",
       "Qsh+Y3WLuLaj0yzQXvIju6bIjrT0gxw1OzBrF2q9RuKdz3ivVawB79W5NbRH3r/SOBnztaJZCNar\n",
       "LBHvUrQe7ZpV73hNvi5pvXbl6WVZdZYlq3mycgtx1EPKs9JKyFdFLStfs+Ss8VK6n1qaLCNf3fKe\n",
       "N9YrbVafazrIfs/vvXxGec8zD62tUR3ltYj3QbZnxHrmWmtP6Tm2ukWcEEIIIYnlmyrHc0J0eu2u\n",
       "TO76tMhITWbr7q9Wp9K1kh6a1TAXtf0U1b2lbGveJeONx1ZZtfmkZeZ5PuaOgrbG21j3JmntzxYZ\n",
       "c6M9E6fM1ZZ6W/PWPh9bmHs9iMgaxvnGo9NfCeBGAO/L0l4C4IMArgDwOgB3yK69AMCHAFwN4LEz\n",
       "6kUIIYTsBHMu4hcAOEekXQLg/gAeBOAapIUbAO4H4CnD33MAvCyqW+1uyDqbyL9bZ8utlM6mIueH\n",
       "8rs8u5GfS+erJR0j1PZTSZ8pZVvzbpPSWbM3HmvvV2ufeOeuWp7aemraYY23iBVjnTe2UKuzld86\n",
       "f4/UYZ17W2WjOtd6FyLnwdrnWhnRN2ei+tfgxRpFse5J7Rm7xpyL+B8D+HuRdimAm4bP7wBw5vD5\n",
       "iQBeA+DzAK4DcC2Ah86oGyGEELJ6thnY9iwAbxw+3w3A9dm16wGcsXGNCCGEkBWxrUX8JwF8DsCr\n",
       "nTyqXyR3I1122WU3p/Wi1kVSctNpQQuaK6b0XUMLYNNcVNrnGpf+2oi6JLdN1EVYkyfihtW+a6/u\n",
       "yPHsHUVFid6TKe5Fzy3ttbE0T0p9pLm4S27UHCtoT6tDltHaKfN5bnbteSCvaXpHXOKyrryc1Ff+\n",
       "8/T18ln1j/fPqkv7LsuPn3M5Whvz71o/jUdB+et0o9zLLrss3L6Dodb35bsBPA7AN2dpHwNwVvb9\n",
       "zCHN5fDhwz31IoQQQrZOzdq2aUv8HAA/hnQG/q9Z+hsAPBXAKQDuAeArALxTE5DvXPK0Xli7YQ9v\n",
       "t1SzU/X08K5ru26rfzyLfY14Fs0ueRei1AYPloI5S68Z5Z9rvUeevtqYjXqvZKCdNf6lVS11k9aY\n",
       "FsAny+d5NC+clJPn0fSRdXjplldOlrN0seR4eaXsiCdIGwOy76y6vP4vYd2/yHixPsvncEugXSlv\n",
       "ScaclvhrADwSwJ0BfBTAeUjR6KcgBbgBwNsBPBvAVQAuGv5+YUjbf09gQgghpIK1mWF7gP3Kjbaj\n",
       "jFgSc1ts3m67pBtgn6do8r18NXq25rfaqp0N1dwvrY1ztq1X2Va5eX9J66Wl3yJtsO6RVq913hqd\n",
       "mzJd0zMyZrw2SxmazqW+LJ1p1tQvr0f6Rabn1JSNXG95HnpjRhsX3r2Jzu/SuIz0S83zyPpbo1dE\n",
       "D2+dGPKp6zV/dpUQQghZKauzxOe2mmuJ7NJKu8AeOoxYukzZoS+Ztept0WIx95Qf9YZM8YzUeqN6\n",
       "y/XKRTwg3netTMmTIctqdWg6y7KanBYi7a31lkS8STLdeqZGxt5Uj8Ncz8vSfdL6Nr+syaQlTggh\n",
       "hKyUVVriS7W+Wnd/tTvJyPWSDjXnSbV1bOLeLHUM1DLnWX2tbGktAfb5e0/LO+q9qqlP6l5qk5Y/\n",
       "kq9FP4/ac/JeRM6EW2QCZU9KS7/O8awqeUe08mM+KbOHV0ipi5Y4IYQQskusbhG3dk/5LkruqA4c\n",
       "0P/z95o6p+LtyrRrvSysvO17e+X3MKeyKet4F6xwINYOa/yVyjpnayG9PCtFS8/nlpbfa4dlBVnW\n",
       "jjffrX6xxrxlccs0b870Go9zywf09tU+gyKM/VUafy39OsUzYFn+ox7yOWnJ8sZNa9+1lFvdIk4I\n",
       "IYSQBBdxQgghZKWsbhHXXCDStWG5SfJrlpvHc9PJfJYbz3In1gYZjf/BS4ucUrBIq9w5sdq7i1j3\n",
       "d+q40bDc4uM4leNVc8Nb80ebd9I9On4+evTocXqV3I/RIyivrPW6lOW+l/K0YFBPTv49/08seqLJ\n",
       "9I4QJaVjklZ9vflbc8RS+9z1jnq8+eQds5aOj/b20n9SIsfNlLlaczSVs7pFfD+xnxY1gO3dddje\n",
       "3Ybt3Q6rXMS9XXRN+dLu37PaS8EYkaCgWmp29Vo7oq989CLq1dgm29LLCtSq8Zx4RKwwLZDH01G7\n",
       "3hIoqsmvyVMzfmvmYT5PtMAm69ng6VZjndX0Ya96I/3b+rwYx3U+xqJBiBZau6LPYcvD4v3VZFpo\n",
       "Xq4aIl4tjVUu4oQQQghZ34+9XA7gQdtWghBCCNkgfwTg8LaVIIQQQgghhBBCCCGEEEIIIYQQQggh\n",
       "u8FNAF6afX8ugPM6yP2vAD4C4DPG9X8/1P3gLO3FAN43/Htyln4PAO8A8CEAvwXg5OzaLwzpVwD4\n",
       "6iz9HABXD9ee19qIjhwGcPG2lSCEELJb/CuADwO40/D9R9FnEX8ogNOhL+K3A/AWAG/DsUX82wBc\n",
       "gvRK6a0BvBPAbYdrF+HYov5LAP7T8PlxAN44fH4YgD8dPp8E4FoAh5AW/MsB3Hdie6ZyGFzEyT6F\n",
       "74kTMh+fB/DLAH64s9x3ArjBuPbTAF4E4LNZ2n2RFvabAPwzgCsBfCvSK6ZnA/idId+FAJ40fH7i\n",
       "8B1IlvqpSBuHhyIt4tchte+3hryS70Cy+i9Hej0GSAv/WwC8e/j3iCH98JDn9UibnhcBeMbQzisB\n",
       "fPmQ79cAvBzAuwD8OdLmRHIbAK8cdH4PgCcM6fcf0t6L5Fm4l1KWkNXBRZyQeXkZgKcBuL2T5zDS\n",
       "4iL//UllXQ8GcAaOWdAjVyC5wG8F4M5IC/eZSB6CTyEt7gDwsaE8ANwNwEczGdcP16x0yX8B8FgA\n",
       "XwXg24e0GwE8BsBDADwVyV0/8kAA34u04XgGgHsibRh+FcAPZPnuDuBrkRbwlwO4paj3JwG8Gcl7\n",
       "8CgAL0HyPnwvgJ9HOhZ4yKA3Iavn4LYVIGTH+QyAXwfwgwD+xchzGY4/c27hFgD+B4Bzs7Txx5wu\n",
       "RVr43gbgbwG8HcAXAZR+83LKj0G9FcmSvwjA64a0UwD8ItIPNn0RwFdk+d+FtMgDydJ/0/D5/Uib\n",
       "Dgz6XpTl+QsA9xH1PhZp0/Dc4fstkRb+tyMt8GcO+lzb3DJCFgQXcULm5+eQXLsXGNfPRlqAJf8M\n",
       "4OuDddwOyWV82fD9dABvQFrQ3gPgvw3/AOBVAK4B8EkkN/ktkKzxM5GscQx/z8rkn4lkvZ4s0s+C\n",
       "btX+ZyRL+tuQXOcPQdrI/DWSpX0SUszASO7+vyn7fhP859RNStq/Qwq6y7ka6Vz/8Uieiu8FcBSE\n",
       "rBy60wmZn79HsiC/B7r1exTJEpf/ogs4AHwawJciRZvfA2nBGhfwW+BYcN0Dh3+XDLocRTq/BpIV\n",
       "//rh8xsAfNfw+eFIbvcbAfwZkgV9CMmyfsqQV3JPpDPt85Cs/7OQjhTGs/zvQlrIazgw6HpgkP/l\n",
       "SGfjOW9C2iyMjB6OewD4SwD/E8D/AfCAyroJWSRcxAmZj3zB/hmk8+genI90Ln2r4e9PFfKfghRQ\n",
       "9gGkc+Sn4ZgF+zwAP4Jkud4RwCuG9DciuauvBfC/ATx7SP8CgO9HWiyvAvBaAB80dLwSKbjtrUjn\n",
       "8i9D2ihcDuArAfxjlt9y7e9l1/aQXq17J45Z058TeX4ayVtwJZIr/oVD+pOH7+9F8lj8ulEfIYQQ\n",
       "QmbgAiRXOSFkgJY4IYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhKyL/w9rG3w7\n",
       "xBDd7wAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa753b63b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "D in [-0.0944681540132, 0.921464562416]\n",
      "d in [0.999999463558, 1.00000023842]\n",
      "Constraints on D: True\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeUAAAFRCAYAAABKa7UBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm8ZHV55/FP080qy2VREUEvcQR1ooAyREHjoyJRh4j7\n",
       "AhpaDJqJE9SMy2A09ui4ob5kYmK0jbIYxFZZBG0M+qKvEEEalGa1iSztAkqD0KKiQKDmj+eU99zq\n",
       "2utUPU/d832/Xvd165w6dX7f+tWpeuqc36kqEBERERERERERERERERERERERERERERERERERkSn1\n",
       "z8C7h7ztr4HZ6qKIiIgsXhuAe4C7gbuA7wJvBJYMsa454PVVBUtkjsV5v0SmwhbRAUQmqAEcDuwI\n",
       "PAr4MPBO4HNDriuDZRWvL8v9GlTV/SAiImN2M/Dslnn/DXgAeEIxfTLw/tL1RwDrgF8BNwB/BnwA\n",
       "+E/gd/gh638oln0Q+KPi8k7AqcBGfA/975jfI18O/DvwUeBO4CbgeaU2Xwdch+/R3wi8oXSdAT8D\n",
       "3gH8vGjjavzNRtOWwB3Afm36YAb4epHrTuBc4JHFdZ3u18HAZcAmYC3wtNL65vD++m5xm3OA3YDT\n",
       "8D5bCzy6TQ7wQ/0PAn8B/Bi4HXhX6fqtgROBW4q/TwBbdemH9wJfAb6A991VwGOB44HbijaeW1r/\n",
       "crx/78YfgyM75BSpjc/jT5arK1jXs4ArSn+/A17Y5213Bs4CrgQuBf5rh+WeDXwfz3sysLSP27+5\n",
       "WP6a4nLTfsAl+AvHOcAOxfytgJOK+euAZ7bJcQ7V9BlU+xhk164og79Yv7G4fBLwvuLyQXghek4x\n",
       "vQewb3F5DXBMy3rKRflUfJt4CF6Uri8tvxy4Dz9MvAT4K7zoNL0A2Lu4/KfAb4EDimkD7gc+hBff\n",
       "bYC3A18q3f4IfFtsZxfgxcXttge+XORsar1fu+CH+o/Cj6y9Ci/mOxfXzwH/UeTdEbgW+BHez0uB\n",
       "U/BtrJ1ZvM8+gxfgJwG/Z76P3wdcjBf53fDC33xs2vXDCvx5/9xS2xvworwU+Eu8+II/Lr/CizbA\n",
       "w5l/YyZSW8/AX2yqLgg7A7/En6itNrSZ91HgPcXlfYFvt1lmC+AnwH8ppv8P8y9enW7/x/h92wZ/\n",
       "UfgW8Jjiusvw+w++Z9R8sXkT84dTHwpczsIxz5fgeyFXtck4jHE9Bhl1KsqX4C/csLAofwb4eId1\n",
       "rWHzsddmUV4K3As8rnTdG4rbgBflH5Wu26647cM6tHUWcFxx2Yp1b1W6fg98L3X7YvqrwNs6rKvV\n",
       "/niRbWq9X68Fvtdym4uBo0vLH1+67mPAN0rTh+NvktuZxe/3HqV5lwKvKC7fwMIjCIfhjyG074cV\n",
       "wL+Vpv8c75fm82eHor0d8aJ8F/582rZDPpGJix5Tvgh/YpQ9BjgPL0YXMv+ueRAvB1bj77pbtRsz\n",
       "ezzzL5jX4y8WD21ZZld87+aGYvrbwEu73P5hxfxLixwPAN/BXwTA36Ff1GNdt+N7agcW09sDbwX+\n",
       "LwsL9UPxF+K1xd/Bbe5jJ+0eg7rZk4WFqTz/xi636zT+uhu+9/bj0ryfMH+YGOAXpcv3FP+bRfX5\n",
       "eCH8Jf7YvADf/ppux7fFplvxvciX4Yenn4e/cWtnO/zNxgZ8T/E7+KH28vZUvl97FNnLfszCQnpb\n",
       "6fLv8UPj5ent6a61L5rL78HmfVhut7UfaGn7d/hh/EZpmmL9vwVeiR+luBU/pD/Ma41IpaKLcjsr\n",
       "gb/BC9HbgU8NsY5XAacPsPyVzBfLg/DDjXu2LHMHfjLJU4rplwF7dbn9I/G9z2fghwC3A/57ab3X\n",
       "4ocZwd9ElNf1Qnxva++iveZt3o/viTRfxJv+Hz7edlCR61/6udMC+JjyHvgYb6ufMn9kpFW3E6Lu\n",
       "wA+tzpbmPQofA+1la+AM4AT8jd3O+BvMTkWz6RTgNfi2dDE+ztrO/wL2wbeVnfDhkSWl9beu+xY2\n",
       "HxN+NAsPt5dVeaLYrWzeh7d2aWvQts/H9753B9YDnx3w9iKVy3bG4vb4SSRfKc1rHp56CX7IuNXP\n",
       "8D2Lpkfgh43Lh7H+ETikuLwH84fTvoyPSX0YL2xX4IX0CnzPtqyBF/tP4C+c55eW6XT79cBHimV/\n",
       "W8x/sLjNMfiJNO/Bx4ib7/g/j+8tX47vJVxcrGt//NDoW9n8s7CHFrdp2gF/E/Ak2r/QNIrr6qhZ\n",
       "fHbEx2tPxE8MurZ0fXOZz+GP3dfxsdNH4Nvo9fjeYXMootUD+Lb1Afwkpl3xx+2jfeTbqvi7A99W\n",
       "no8Xjl7DC2cB/4SPjX6ky3Lb43uMv8LfLL635frW+7Ua+CTwavx5+VL8sPzXS8ss6XB5VKfjnxm/\n",
       "rJj+e/yx6mSQth+Gv9Z8G++P37L5c16klmaZf8HZkYXvhIfxZuDTXa6/uct15WV6HXI7jIUn1/Rz\n",
       "+w/ih8ta7YMf5m7nu/iLYPNkoJvxPbh7gQuKZW5n4djaoGapz5hy83PKm/C+/R8sfDEvjykDvAg/\n",
       "enE3Pg7cPHv3qXhxvhMv7LDwRK8ZvIBsxA+7vrvUztH40EzZA6Xb/jV+SPcu/ISxL7LwBKfWw8lN\n",
       "/4KPoW7X4XrwNxZriuXW42PdDzB/1Kzd/ToEf5O4CS+Q5eGR1hPD3s/CE7sOxU8Ea2e2pe3W9W2N\n",
       "v9m9tfg7kYVnX7f2w3vx/iq3fVNpelnR3h743vFccZ/uwp9L5XMARBalTmcel82ysCA0x8bAX8QG\n",
       "3aP7Hu3PWG5qV5R3Yv7Jfix+ZnU7zXHmrfF32NbH7Zsn7zwK+CH+xqO8ri3wF5LlxfS2+Eko4AVg\n",
       "rk2OR7Owz05j4Yk9+3fI38ks9SjKi917WFiURET+oNuZx02n4++A78P3/l6HF4jz8I8DXctgX3k4\n",
       "W6ynm5vazGvuHazHT5jaqXTdN/B31eDjfNcVyx3X5+0vxO/HOvxjW03HFbe5Ht+DLt+H9UU75zM/\n",
       "1kzLMuWzr3fF99qvLNoaZBy++Rjcy/xjINNnF/wN59Ojg4hITq0nHL0bP3FLRKp1LPAbhjspUkRq\n",
       "4nH4XmDzzONL8PEhERERaWOcZ193O/NYREREWlT58YVePoifLVk+M/oWFn4ZgIiIyGJ3JYOfkFuJ\n",
       "TmceN03rL9JMworoAEmtiA6Q1IroAImtiA6Q1IroAEmtmEAbHWvfuL885Kv4mcH345+9vHvM7S0m\n",
       "s9EBkpqNDpDUbHSAxGajAyQ1Gx0gqdnIxsddlP90zOsXERGRiujwdWcWHSApiw6QlEUHSMyiAyRl\n",
       "0QGSsgm0kbb2pQ0mIiIyJh1rX8ZfiRJn0QGSsugASVl0gMQsOkBSFh0gKYtsXEVZREREAB2+FhGR\n",
       "+tHhaxERkexUlPOy6ABJWXSApCw6QGIWHSApiw6QlEU2rqIsIiIigMaURUSkfjSmLCIikp2Kcl4W\n",
       "HSApiw6QlEUHSMyiAyRl0QGSssjGVZRFREQE0JiyiIjUj8aURUREsktUlBsroTEHjdXQmBn/7cah\n",
       "0ixWQaA+VZF7Eo9DYyWcvS7HY52ORQdIzHovMo7tN9NrU1sWHaC98H6zgDbTKO3CN+ag0Sj+Vg2w\n",
       "iiFvNw6VZrEKAvWpityTeBwac7AmyWOdjkUHSMx6LzKO7TfTa1NbFh2gvfB+swm0kXbotlyUVxcP\n",
       "wtoB95SHvN04ZMoyiCpyT+K+T2v/Sn7j2La0vQ6nFv02FUV5xt8VDfogDHu7cciUZRBV5J7EfZ/W\n",
       "/pX8xrFtaXsdTi36bRqKsrSw6ABJWXSApCw6QGIWHSApiw6QlE2gDZ19LSIiIt1pT1lEROpGe8oi\n",
       "IiLZjbsoHw9cC1wNfBHYesztLSYWHSApiw6QlEUHSMyiAyRl0QGSssjGx1mUZ4FjgScDTwSWAq8a\n",
       "Y3siIiLSwS7A9cDOwDLgXODQlmU0piwiInUTVvveAPwa2Ah8oc31KsoiIlI3IbXvMcB1wK74nvJZ\n",
       "wFEty6god2bRAZKy6ABJWXSAxCw6QFIWHSApm0AbHWvfsjE2eiBwMfDLYvpM4GDgtJblTgY2FJc3\n",
       "AeuAuWLaiv+a1nRzev9keTSdf5oe19d1ev9kebJM0+P6YaYNWF5MbyDIfsA1wLbAEuAU4E0ty2hP\n",
       "WURE6ias9r2D+Y9EnQJs2XK9irKIiNRN2tqXNlgCFh0gKYsOkJRFB0jMogMkZdEBkrIJtKFv9BIR\n",
       "EZHutKcsIiJ1oz1lERGR7FSU87LoAElZdICkLDpAYhYdICmLDpCURTauoiwiIiKAxpRFRKR+NKYs\n",
       "IiKSnYpyXhYdICmLDpCURQdIzKIDJGXRAZKyyMZVlEVERATQmLKIiNSPxpRFRESyU1HOy6IDJGXR\n",
       "AZKy6ACJWXSApCw6QFIW2biKsoiIiAAaUxYRkfrRmLKIiEh2Ksp5WXSApCw6QFIWHSAxiw6QlEUH\n",
       "SMoiG1dRFhEREUBjyiIiUj8aUxYREclORTkviw6QlEUHSMqiAyRm0QGSsugASVlk48siG5dhNFYC\n",
       "+wD3ABuB2eLykbBkU2CwmlvwuEz4sWishK8dBEfc6m1zApVvI4Pcv27LRvZTJuPoh0Efo/I2E/k4\n",
       "jGN7qap/6/d6qzHlgTXmoNEo/jaWLq+KTlZvCx6XCT8WrW2PYxsZ5P51WzaynzIZRz9U9RhN2ji2\n",
       "l6ru39heb8Nq377AFaW/XwHHla5XUR5YY3WxUayFxvmlyzPRyeptweMy4ceite1xbCOD3L9uy0b2\n",
       "Uybj6IeqHqNJG8f2UtX9G9vrbYratwXwc2Cv0rwUwZKy9rMbM8Xe0MzCy7Vh0QHai3wsGjOw6oL5\n",
       "tsexjQyynm7LhvSTTbCtPo2jHwZ9jMrbTKRxbC8j9a+1X0+lj1mK2ncY8O8t81IES8qiAyRl0QGS\n",
       "sugAiVl0gKQsOkBSNoE2UtS+zwN/3TIvRTAREZEJCq99WwG3Aw9tmR8eTEREZMI61r5JfSTq+cD3\n",
       "8cLc6mRgQ3F5E7AOmCumrfhfx+nm5Sx5skzvD5yYKE+W6eblLHkyTTfnZcmTZfot6PW23XRzXpXr\n",
       "N2B5Mb2BBL4EHN1mvvaUO7PoAElZdICkLDpAYhYdICmLDpCUTaCN0Nr3EOAOYIc216koi4hI3aSt\n",
       "fWmDiYiIjIl+kGIKWXSApCw6QFIWHSAxiw6QlEUHSMoiG1dRFhEREUCHr0VEpH50+FpERCQ7FeW8\n",
       "LDpAUhYdICmLDpCYRQdIyqIDJGWRjasoi4iICKAxZRERqR+NKYuIiGSnopyXRQdIyqIDJGXRARKz\n",
       "6ABJWXSApCyycRVlERERATSmLCIi9aMxZRERkexUlPOy6ABJWXSApCw6QGIWHSApiw6QlEU2rqIs\n",
       "IiIigMaURUSkfjSmLCIikp2Kcl4WHSApiw6QlEUHSMyiAyRl0QGSssjGVZRFREQE0JiyiIjUj8aU\n",
       "RUREslNRzsuiAyRl0QGSsugAiVl0gKQsOkBSFtm4irKIiEhNzABfBX4IXAc8teV6jSmLiEjdhNW+\n",
       "U4BjisvLgJ1arldRFhGRugmpfTsBN/VYRkW5M4sOkJRFB0jKogMkZtEBkrLoAEnZBNoIOft6b+B2\n",
       "4CTgB8Bnge3G2J6IiMhUWzLGdR8IXAIcDFwGnAjcDfx9aZnGmDO0aKwE9gHuAY6EJZv6W44TStMb\n",
       "gdne6+jV3oLruqyz38xDtz3AOifRRte+HyFrv+0N+3gOu85hjWO7GGS5KrbfSWyHwyw3yjq7ba/j\n",
       "eD3o9/kR8Zwf93N3lGzD9H2VOZccy0Rrn9sduLk0/XTg6y3LNICTgRXF31tYeOjAqp0+ex2saUCj\n",
       "AY1VnZdvzPkyaxqw6oKF0+ffVdy+uG7Y9hpzft2aBjQ2LmyvvL6z1/XfXsf1r+p+//pZ30j3b1X7\n",
       "27ebbr2/w97/Ydsbx/ZTZd6q+3fY9Vex/fbbn72m++3vQdrrt38H2V7H8XpQ1ePZ7/Qg96+qx7ff\n",
       "6WFfj4Z9fR9o2vBadzL8zQYCh24vxN+BgBfdj7RcP+FgjdVFh6+Fxkz/yy2YPr+/dfRqr+c6bbDM\n",
       "Q7c9wDon0UbXvp9h4UZfgUFyDrv9jMOw/VLVfej3ORG9HQJDPZcqea0Yti8G6M+RHk/r3gd9r2fE\n",
       "bFWpqu/XTOC5G1eU98MPXV8JnEn42deNGWis6uMJ2bJcebrfdfRqr+c6bbDMw7Y9inG00a3vgeqL\n",
       "ckWP57DrHNaw/VLVfej3ORG9HQJDPZeqeK0YZJ3D9udIj6d1v03f6xkxW1Wq6vtVF4z/uZv3JOe0\n",
       "wURERMakY+3bYpIpREREpDMV5bwsOkBSFh0gKYsOkJhFB0jKogMkZZGNqyiLiIgIoDFlERGpH40p\n",
       "i4iIZKeinJdFB0jKogMkZdEBErPoAElZdICkLLJxFWUREREBNKYsIiL1ozFlERGR7FSU87LoAElZ\n",
       "dICkLDpAYhYdICmLDpCURTauoiwiIiKAxpRFRKR+NKYsIiKS3bLoAJ01VuK/xXwPsBGYLS4fCZxQ\n",
       "uu5IWLKpv9uVl5u0Bbl6ZGmshK8dBEfc2nvZcRsk90TaMGBuctkmqfX+LNjOe23Lxh/6RVoY6pt2\n",
       "jEX7XBqJMfL2krUO9dbl8HVjDv/h6QY0NpYur2q5blX/t4vULXO7ZddMYe6JtGGTzTZJrfdnoG3Z\n",
       "Jpt1qlh0gKRs/uJiey6NxEZfRc/nbtqh225FeXVxJ9ZC4/zS5ZmW62b6v12kbplHWXbcJpFl2DYy\n",
       "9VMVWu9P1m1ZFp/F9lyK1vO5O3RRfgrw5B5/TxwleZerZoq9hZmFl1uvG+R2kQbJMq25J91Gpn6q\n",
       "QrftfLHdV8lF21e1ej53O9a+JT3W/Gvg8h7L7I0fLx9Go48MdWVoHKwdQ/3SjqF+6cRQ37RjqF/a\n",
       "McbfLx1rX68TvS4HntVjmTXDJBIREZFc0g52i4iIjMlYPqf8uBFuKyIiIhX6SQXr0J5yZxYdICmL\n",
       "DpCURQdIzKIDJGXRAZKyCbTRsfb1GlP+ZJfrdu6z8Q3A3cADwP3AQX3eTkREpFb6Ofv6bcC9LKzs\n",
       "S4CPA7v20cbN+Eer7mxznc6+FhGRuhm69q0BDulw3YY+13EznYu3Dl+LiEjdDF37dgG2G7Hxm4Ar\n",
       "8I9XHdtynYpyZxYdICmLDpCURQdIzKIDJGXRAZKyCbQx9Jhyu0POgzoE+DnwUOBbwHrgogrWKyIi\n",
       "sqgM+ytRp+C/ePFPwDU9lv158f924Cz8RK9yUT6Z+UPhm4B1zH+bihX/6zg9lyxPpml6XF/H6blk\n",
       "eTSdf7o5L0uexTxtwPJiegNjcBDwMvyn5brZDtihuPwQ4LvAYaXrdfhaRETqJqz27Y3v+a7D96iP\n",
       "b7leRbkziw6QlEUHSMqiAyRm0QGSsugASdkE2hh6THlL4PXAi4BHFvNuAc4GPod/7ribm4H9+8so\n",
       "IiJSb70+J/Ul4C58DPmWYt6ewNH4l4e8csT29TllERGpm461r1dB/BHw2CGu61cDGucBR8KSTSOu\n",
       "a9CmVwL74CesjdB+VeupQrcs05JzLG1sxH9etGiPE8bffl+5grNMk363mUG2rWHXOenHLPq5O47X\n",
       "lej7VLWB78/QO6SXAq9g4Q9XbIHvIV86zApbNKDR8B+AnrTGXNH2iO1XtZ7NWLVZxpZzCCNlsSHa\n",
       "2Liwvci+aG27sixWTb6s+u2ntstZteuc9PYT/RozjteVTK9Hm7HBbzLw/Rn6fKq9gS/jH2f6UfF3\n",
       "ezFv72FXujBYYy00ZipY16BNry46cMT2q1rPZqzaLGPLOYSRstgQbZy/sL3Ivmhtu7IsVlXCnPrt\n",
       "p7bLWbXrnPT2E/0aM47XlUyvR5uxwW8y8P0Z+STnJcBuxV+VY8CNuAekMVO86x2x/arWU4VuWaYl\n",
       "5zjaaG0vsi8yZZkm/fbTIP057Don/ZhFbyPjeF2Jvk9VG/j+DF2Un1zRMp3oI1EiIlI3Q9e+q/Dv\n",
       "v+70tyv+vdYTD1YDFh0gKYsOkJRFB0jMogMkZdEBkrIJtDH055R3BL7fY5nbB44jIiIi6WhPWURE\n",
       "6qZj7dui0xUiIiIyWSrKeVl0gKQsOkBSFh0gMYsOkJRFB0jKIhtXURYREUlikM8c74d/VWHz5LAG\n",
       "cOaI7eu7r0VEpG461r5eZ183nQQ8EbgWeLA0f9SiLCIiIgO6jvHs0ers684sOkBSFh0gKYsOkJhF\n",
       "B0jKogMkZRNoY+Szry8DnlBNFhEREWmn371fA84BfgHcW8xrAE8asX2NKYuISN0M/XvKTTcCbwWu\n",
       "YeGY8oaRYqkoi4hI/Yxc+y6pKEgrjSl3ZtEBkrLoAElZdIDELDpAUhYdICmbQBtDf/d10zrgi8C5\n",
       "wH2llS6is68bK4F9gHuAI2HJpuBAMpCqHr9+1zNIe9OybU1LTpk+mbatTFmGd1KHv1El2lNuzBU/\n",
       "Ut3w38WU6VLV49fvegZpb1q2rWnJKdMn07aVIstItW8p8PGKgrTKVJRXFw/S2sXzw9t1UtXj1+96\n",
       "BmlvWratackp0yfTtpUiy8i173sMPyi9FP/N5XPbXJepKM/4u6boDeYPLDpAUtZ+dlWPX7/rGaS9\n",
       "iWxbNvoq0j0HqmLRAZKyyTWVadvqmcUmEWLUFXwa/0jUa4GXFn8v6fO2fwucVty+8mCLmEUHSMqi\n",
       "AyRl0QESs+gASVl0gKRsAm10rH397v2e3GFFr+txuz2L234AL85/3iaYPhIlIiJ1Elb7vgIcADyT\n",
       "9IevRUREJmLkr9ncCzgLuL34OwPfC+7mcGAjPp6sveHBWXSApCw6QFIWHSAxiw6QlEUHSMoiGx/k\n",
       "V6JOA15RTB9VzHtul9scDLwQeAGwDbAjcCrwFy3Lncz8N4Ntwj8TPVdMW/Ff05puTu+fLI+m80/T\n",
       "4/q6Tu+fLE+WaXpcP8y0AcuL6Q1U4Mo+53Wiw9ciIiJu5MPXv8TPvF6K712/BrijqhAiIiLSv1l8\n",
       "T7c5pvw14FEVrFeFujOLDpCURQdIyqIDJGbRAZKy6ABJ2QTaGPm7rzew+ceZREREpEK9zop+b4f5\n",
       "zSr/vhHb1+eURUSkbob+PeW3sflu9kOA1wO7FZfHEkxERGSRqqT27Qi8G7gZ+AjwsFFXiMaUu7Ho\n",
       "AElZdICkLDpAYhYdICmLDpCUTaCNkcaUdwXein82+VTgycBd1eQSERGRfn0MuBF4J7DDGNavPWUR\n",
       "EamboX+Q4kHgPuD+DivdcYRQzXVoTFlEROokbe3TnnJnFtNsYyU05oofAk/w26ebsck1lb4vymzw\n",
       "m0zV/SsZJHdjJZy9bvru40RY+9nTsl2MLadVuK5O0ta+tMESsJhmG3PQaBR/q2IydGWTayp9X5TZ\n",
       "4DeZqvtXMkjuxhysmcL7OBHWfva0bBdjy2kVrquTtLUvbbD6aqwuNvK1ud8lT8Ji74tpvX+D5J7W\n",
       "+xhpWvpsWnK2lbb2pQ1WX40Zf9c5dRv5GCz2vpjW+zdI7mm9j5Gmpc+mJWdbaWtf2mAJWHSApCw6\n",
       "QFIWHSAxiw6QlEUHSMom0MbIvxIlIiIii5z2lEVEpG60pywiIpKdinJeFh0gKYsOkJRFB0jMogMk\n",
       "ZdEBkrLIxlWURUREBNCYsoiI1I/GlEVERLJTUc7LogMkZdEBkrLoAIlZdICkLDpAUhbZuIqyiIiI\n",
       "ABpTFhGR+gkbU94GuBRYB1wHfGjM7YmIiEgX2xX/lwHfA55euk57yp1ZdICkLDpAUhYdIDGLDpCU\n",
       "RQdIyibQRujZ1/cU/7cClgJ3TqBNERERaWML/PD1r4ETWq7TnnJtNFYWP0q+ekp/ak3GTttItRZj\n",
       "fy6a+5Si9u2EH7620rwUwWQSGnPFD5I3/DdQRVppG6nWYuzPRXOfOta+ZRMM8SvgG8CBwFxp/snA\n",
       "huLyJnyvunm9Ff/rON28nCXPqNP3+L/frIfD3zjC+vYHTpxA3mmbbl7OkmeI6TO3gV0Auwx4Y4Xr\n",
       "b86rOG/26Z79+Ram7vX2zG3gJQCXweO/UCxTdXvNeVWtr7mu5cX0BgLtBjQPMWwLXAg8p3S99pQ7\n",
       "s+gA1WrM+DvbkQ85WRVpFiGLDjC6yraRVlbx+qZEz/60Saapxti2kTIb47qbwmrfE4Ef4O/GrgLe\n",
       "3nK9irKIiNRN2tqXNpiIiMiY6AcpppBFB0jKogMkZdEBErPoAElZdICkLLJxFWUREREBdPhaRETq\n",
       "R4evRUREslNRzsuiAyRl0QGSsugAiVl0gKQsOkBSFtm4irKIiIgAGlMWEZH60ZiyiIhIdirKeVl0\n",
       "gKQsOkBSFh0gMYsOkJRFB0jKIhtXURYRERFAY8oiIlI/GlMWERHJTkU5L4sOkJRFB0jKogMkZtEB\n",
       "krLoAElZZOPLIhuXadNYCewD3AMcCUs2BQeSRUvbmkgEjSlPlcYcNBrF36roNLKYaVuTRS1t7Usb\n",
       "TNpprC5eJNdCYyY6jSxm2tZkUUtb+9IGS8CiA2yuMeN7LaEvkhbYdmYWHaBalW5rVsE6FiOLDpCU\n",
       "TaCNjrVPY8oygCWbgFdGp5A60LYmEkF7yiIiUjf6nLKIiEh2Ksp5WXSApCw6QFIWHSAxiw6QlEUH\n",
       "SMoiG1dRFhERqYm9gDXAtcA1wHEt12tMWURE6ias9u0O7F9c3h64Hnh86XoVZRERqZs0te9s4Dml\n",
       "6TTBErLoAElZdICkLDpAYhYdICmLDpCUTaCNFGdfzwIHAJdOsE0RERFpsT1wOfCilvnaUxYRkboJ\n",
       "/UavLYEzgH/FD1+3OhnYUFzeBKwD5oppK/5rWtOa1rSmNT2t0wYsL6Y3EGgJcCrwiQ7Xa0+5M4sO\n",
       "kJRFB0jKogMkZtEBkrLoAEnZBNoIG1M+BHgN8CzgiuLveWNuU0RERIagPWUREambFGdfi4iISBcq\n",
       "ynlZdICkLDpAUhYdIDGLDpCURQdIyiIbV1EWERERQGPKIiJSPxpTFhERyU5FOS+LDpCURQdIyqID\n",
       "JGbRAZKy6ABJWWTjKsoiIiICaExZRETqR2PKIiIi2ako52XRAZKy6ABJWXSAxCw6QFIWHSApi2xc\n",
       "RVlEREQAjSmLiEj9aExZREQkOxXlvCw6QFIWHSApiw6QmEUHSMqiAyRlkY2rKIuIiAigMWUREakf\n",
       "jSmLiIjTkNwHAAAJN0lEQVRkp6Kcl0UHSMqiAyRl0QESs+gASVl0gKQssnEVZREREQE0piwiIvWj\n",
       "MWUREZHsVJTzsugASVl0gKQsOkBiFh0gKYsOkJRFNj7uovx54Dbg6jG3IyIiIj08AziAzkVZY8oi\n",
       "IlI3YWPKFwF3jbkNERGRRUFjynlZdICkLDpAUhYdIDGLDpCURQdIyiIbV1EWERFJYll0AOBkYENx\n",
       "eROwDpgrpq34X8fpuWR5Mk3T4/o6Ts8ly6Pp/NPNeVnyLOZpA5YX0xsINotO9BIREWkKq32nA7cC\n",
       "9wI/BV7Xcr2KcmcWHSApiw6QlEUHSMyiAyRl0QGSsgm00bH2jfvw9avHvH4RERGpiPaURUSkbvTd\n",
       "1yIiItmpKOdl0QGSsugASVl0gMQsOkBSFh0gKYtsXEVZREREAI0pi4hI/WhMWUREJDsV5bwsOkBS\n",
       "Fh0gKYsOkJhFB0jKogMkZf0t1lgJjTlorIbGTFWNqyiLiIgMbh/gmcDzgc8EZ6mMxpRFRGQKNVZD\n",
       "owGNtUPsKaetfWmDiYiIdNaYgcaqIQ9dp619aYMlYNEBkrLoAElZdIDELDpAUhYdICmbQBs6+1pE\n",
       "RES6056yiIjUjfaURUREslNRzsuiAyRl0QGSsugAiVl0gKQsOkBSFtm4irKIiIgAGlMWEZH60Ziy\n",
       "iIhIdirKeVl0gKQsOkBSFh0gMYsOkJRFB0jKIhtXURYRERFAY8oiIlI/GlMWERHJbtxF+XnAeuBH\n",
       "wDvH3NZiY9EBkrLoAElZdIDELDpAUhYdICmLbHycRXkp8I94YX4C8Grg8WNsb7HZPzpAUuqX9tQv\n",
       "nalv2lO/tBfaL+MsygcBNwAbgPuBLwFHjLG9xWaYnwOrA/VLe+qXztQ37alf2gvtl3EW5UcCPy1N\n",
       "/6yYJyIiIm2MsyjrzOrRzEYHSGo2OkBSs9EBEpuNDpDUbHSApGYjG18yxnU/FViBjykDHA88CHyk\n",
       "tMwNwGPGmEFERCSbKwkYu14G3Ii/69gKWIdO9BIREQnzfOB6fI/4+OAsIiIiIiIiIrnpi0XcXsAa\n",
       "4FrgGuC4Yv4uwLeA/wDOp74fX1gKXAGcW0yrX9wM8FXgh8B1wJ+gvgE/InctcDXwRWBr6tkvnwdu\n",
       "w/uhqVs/HI+/Fq8HDptQxijt+uaj+HPpSuBMYKfSdbXom6X4Ie1ZYEvqPd68O/MD/tvjh/sfD5wA\n",
       "vKOY/07gw5OPlsLfAqcB5xTT6hd3CnBMcXkZ/iJS976ZBW7CCzHAKuBo6tkvzwAOYGHh6dQPT8Bf\n",
       "g7fE+/AGFvdXMLfrm+cyf58/TA375mnAN0vT/7v4EzgbOBR/V/bwYt7uxXTd7Al8G3gW83vK6hcv\n",
       "wDe1mV/3vtkFf1O7M/5G5Vz8xbau/TLLwsLTqR+OZ+HRym/in55ZzGZZ2DdlLwb+tbg88b6Jqvj6\n",
       "YpH2ZvF3cJfiT57bivm3Mf9kqpNPAG/HP0rXpH6BvYHbgZOAHwCfBR6C+uZO4OPAT4BbgU344dq6\n",
       "90tTp37YA38Nbqr76/ExwOri8sT7Jqoo64tFNrc9cAbwZuDXLdc1qF+fHQ5sxMeTO32evo79Ar4X\n",
       "+GTgU8X/37L5kaY69s1jgLfgb273wJ9Tr2lZpo790k6vfqhrH/0dcB9+PkInY+2bqKJ8C36CU9Ne\n",
       "LHw3Ujdb4gX5C/jha/B3srsXlx+BF6g6ORh4IXAzcDrwbLx/6t4v4M+VnwGXFdNfxYvzL6h33xwI\n",
       "XAz8EvhP/ISdp6F+aer03Gl9Pd6zmFc3y4EXAEeV5k28b6KK8uXAY5n/YpFXMn8iT90sAT6Hn0F7\n",
       "Ymn+OfhJKhT/z6Ze3oU/GfYGXgVcALwW9Qt4kfkpsE8xfSh+xvG51Ltv1uPjfdviz6tD8edV3ful\n",
       "qdNz5xz8ObYV/nx7LLB24uliPQ8fKjsC+H1pfq36Rl8s4p6Oj5muww/VXoFvILvgJznV6WMcnTyT\n",
       "+Tdt6he3H76nXP4Ih/rGzy5ufiTqFPwoVB375XR8XP0+/A3c6+jeD+/CX4vXA3820aST19o3x+Af\n",
       "efox86/BnyotX6e+EREREREREREREREREREREREREREREREREREREREREZGSF+FfDLNvad5++Bfn\n",
       "jMMc/gUHhxfTL8e/SOMB/Gs4x+2bwF3M/6JX02lFrqvxb69bVszfrbjNOvy3xJcX87ct5t2Lf+GF\n",
       "iIjIyFbh30S2ojRvOfDJMbW3hoXF93H4V3G2zh+XZ+NvCFqLcvlNyBeBvyourwA+VFzeDf/O6mWl\n",
       "ZW9GRVlqZlH+WLNIAtsDfwL8T/y73cG/P/d9xfQV+J7sLvh3EF8JXAI8sVh2Bf41kRcCG4CXAB8D\n",
       "rgLOY2HxKiv/otZ6/CsVuzHgO0WGG/Efd38t/v2+VwF/1OP2ZRcAv2kz/7zS5cuY/+m7nwM7Fpd3\n",
       "ZP6HJERERCp1FPDp4vKFzO+pHg38Q2m5TwLvKS4/Cy/W4EX5QmAp8CTgHua/d/dM/IvzW3XaI+62\n",
       "p2z4IeeH428abmF+z/44/DetAY5k/nuBy39fbrO+1j3lpi2B7wOHFNNL8UPut+I/V9p6WF97ylI7\n",
       "nd5ti8hoXs18QftKMf0DfE+2vDd7CL4XDF48dwV2wH+z9Tx8PPga/KjWvxXLXY3/wlpVLsN/1g/8\n",
       "i/eb7VyDv1EAP+zc7Tdm+/EpfK/8u8X08fjYseG/hfwtfMy99ffERWpDRVmkervgxeyP8eK6FD/h\n",
       "6+0dll/SYf59xf8HgftL8x+k2ufuvS3rvrd0udnOUcDb2tz2BvwwfFOnH4B/L/6G49jSvIOBDxSX\n",
       "b8T3jPfFf9pVpJY0pixSvZcBp+J7s3sDj8LHhZ8B3I3vCTddxPyPqhtwO76n2KlQD6u8vkfiP+E3\n",
       "iNOAA9r8vbxluXa5/xI4DD8EXrYe/81j8MPn+wI3DZhLZFFRURap3quAs1rmnVHMXwM8gfkTvVYA\n",
       "T8FP9Pog8z9C32DhXmfrHminPdKyF+O/F/tU4BvMn3D1COb3vFvbaW2jn3aaLsLHmJ9TtPvcYv4/\n",
       "Aw/DT2S7Anh3Mf+DwIH4ff82/lvIdw7QnoiISFpr8ALfy5uY/yxzZjrRS0REptYZ+Elg01Bwu9kG\n",
       "PwHsp8BMcBYREREREREREREREREREREREREREREREUnn/wORYLpRreGg9QAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa753b6fc10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAesAAAFCCAYAAADR4PWHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XuwLVV94PHvGbw8BOECFV4CXiXiGxBRA9EgDolEgRhT\n",
       "8RGlCBgnsWLAikkAEwMzVVODRo0zSRFHxXhFMaKigQyjEPVqJmREnpfXlaAQRMLFYAgkNQiEPX+s\n",
       "Pvfss+ndp7t3r+7V3d9P1alzdp+9d69e/fj1+vXq1SBJkiRJkiRJkiRJkiRJkiRJkiRJGpHjgC3A\n",
       "3wNndFyWLh0AfB24GbgJOC2bvgdwBXAbcDmwvpPSdWs74Drg0uy1dRKW+fPArcAtwEuxXgDOIuxD\n",
       "NwIXAjswznr5OLCVUA/LiurhLMIxeAvwcy2VsW15dfJHhH3oBuBiYLep/42hTkrbDrgd2ACsA64H\n",
       "ntNlgTq0D3BY9vcuwHcIdfE+4Pey6WcA57ZftM79NvBp4JLstXUCG4FTs7+fRDjIjL1eNgDfIwRo\n",
       "gM8CJzPOenk58EJWB6Z59fBcwrF3HaEObwf+QyulbFdenfwsK8t6LuOrk9KOBL489frM7EfwJeBY\n",
       "wlnd3tm0fbLXY7I/8NfAMay0rMdeJ7sRgtKssdfLHoST3N0JJzCXEg7GY62XDawOTPPq4SxWZzW/\n",
       "DPxU7MJ1ZAOr62TaLwKfyv7urE5SPSN4KvD9qdd3Z9PGbgPhDPBbhJ1razZ9Kys721j8MfC7wONT\n",
       "08ZeJ08Hfgj8OXAt8FFgZ6yXHwEfAO4C7gEeIKR9x14vy+bVw36EY++ysR6HTwUuy/7urE5SDdaT\n",
       "rguQoF2ALwCnAw/N/G/CuOrseOA+wvXqpTnvGVudQGg1Hg6cl/3+N56YkRpjvRwEvJNwsrsfYV96\n",
       "y8x7xlgvedaqh7HV0e8DjxD6OczTSp2kGqx/QOhYtewAVp/NjM06QqC+gJAGh3AGvE/2976E4DUW\n",
       "RwEnAncAnwFeSaibMdcJhH3kbuDb2evPE4L2vYy7Xo4ArgTuBx4jdBg6Eutl2bz9ZvY4vH82bSx+\n",
       "FXg18OapaZ3VSarB+mrgmYQz4e2BN7DSiWhsloDzCT17PzQ1/RJCJxmy319iPN5N2GGeDrwR+Bpw\n",
       "EuOuEwjB5/vAwdnrYwk9oC9l3PWyhXBdcSfC/nQsYX8ae70sm7ffXELYv7Yn7GvPBK5qvXTdOI5w\n",
       "me0XgIenpo+5Tub6eUKnkNsJF/XH6mWE67LXE9K+1xE2pD0IHazGdNtJnqNZOZGzTuBQQst6+pYT\n",
       "6yX0dl6+dWsjIVs1xnr5DOG6/SOEE7tTKK6HdxOOwVuAV7Va0vbM1smphFuz/oGVY+55U+8fQ51I\n",
       "kiRJkiRJkjQWDicqSVLCHE5UkqSSurp16yWEYH0n8CjwF4Qu8pIkacaTOppv3nCiL515z9hGypEk\n",
       "KXdUxq6CtYE4UZPJ6lWztDRvNE8NldtAmqbXi+tkxVjqpatg7XCiklRB2UA0tpOtoS/fsq6uWTuc\n",
       "qCRJJXXVsn4MeAfwFULP8POBWzsqiyRJSUs5fzCZTecsG0vaowtjS6FNG/OyT7Me4op9jXVs668v\n",
       "16wrlDP3n6k+dUuSJGUM1pIkJa6ra9aVpJzaGBrrWoor9j7mPjxMtqwlSUqcwVqSpMT1Ig0+BH3p\n",
       "oVm3nH1ZvrHpS09ZqUttHL8W/U5b1pIkJc5gLUlS4kyDt6QvKci65ezL8kkaliaOPW0cvxa9JGXL\n",
       "WpKkxBmsJUlKnGlwRWdP8e5Y1yprCPvpEJZhHlvWkiQlzpa1ohvS2e0YuL7GaQjrfQjLMI8ta0mS\n",
       "EmewliQpcUmnwZtOaXQ59GJfOj70pZyS1CcONypJ0sAZrCVJSlzKOc7J2m+RJA3NyC/H5S6sLWtJ\n",
       "khJnsJYkKXEp5xZMg6tVI0+9SUqDaXBJkvrIYC1JUuJSzvOZBpekHF6yGTTT4JIk9ZHBWpKkxKWc\n",
       "OzENLkkaG9PgkiT1kcFakqTEJf2IzHm6fNRlXW333rS3qDRcRfu3x5phsmUtSVLiDNaSJCUu5XyF\n",
       "vcGlBfXxklGqTPfms14aZ29wSZL6yGAtSVLiUs5XmAaPxLSVJCXLNLgkSX1ksJYkKXEp5z9Ng0tS\n",
       "RV7m6j3T4JIk9ZHBWpKkxPVybHBJUhpMu7fDlrUkSYkzWEuSlLiU8xX2Bh8I02TdcWxw9dHIjxn2\n",
       "BpckqY/sYFbC0FonbZ+1DqHO+qqPdT+0/a1tI2+VrjKkbSl2y/oA4OvAzcBNwGnZ9D2AK4DbgMuB\n",
       "9ZHLIUlSb8U+1dgn+7ke2AW4BngtcArwT8D7gDOA3YEzZz6bzDXrIZ2dgWfeStvQ9re2DWH/bmoZ\n",
       "erot5Ra07dJ/CfjT7OdoYCshmG8Cnj3zXoO1VILb5zi4nkej8w5mG4AXAt8C9iYEarLfe7dYDkmS\n",
       "eqWtYL0L8AXgdOChmf9NSKgVLUlSatroDb6OEKgvIKTBYSX9fS+wL3BfC+WobWgppyFc09KKovVn\n",
       "6nR82t6/PZ60I3bLegk4H7gF+NDU9EuAk7O/T2YliEuSpBmxT4FeBnwT2MxKqvss4CrgIuBA4E7g\n",
       "9cADM581NR6JZ8LjYct6OMquS1vWvZdEb/AqkgnWQzvguXONx9C23TFLNVircZ33BpckSTUYrCVJ\n",
       "SlzVYL1nlFIkbmlpadtP1yaTybafuqaXJ4VlkiQVKwrW7wV+Ivv7COB7hAFN7gJeEbdYkiRpWVGw\n",
       "fg3ww+zv9wNvAH4SOBb4QORySZKkTNGgKNsRBjR5FNgR+HY2/TZg+8jlKtTHHq5N9dDs4/L2pcxt\n",
       "G/nDCgaty3XS9vzsfd6Oopb1ecBlwCuBLwP/nfDwjf9MeIqWJElqwVqnQMcAbweeSWiF300Ybezj\n",
       "hBZ3THN7UPWxJTG2s88+rqO2tdGydj10I0a9p7oux3Zsa4GDonTJDVqz3CaGq8vA6nbVe7krbK0H\n",
       "eRwEvA7YH/h3wvXqC4EHGy2aJEmaq+ia9enAh4EdgJcQOpkdSLh965j4RZMkSVCcBr8JOJTQon4y\n",
       "8L8JHcwOJDw167DIZRtUGlxKWarXQ7XCdTQalccGnxBu3YLQqt45+/uuqemSJCmyomvWHyPcW/0t\n",
       "4OWEEc0A9gLuj1wuSZKUWSuX8nzg2YSU+Jb4xVnFNLgkqXUdX3Lw1i1JktaSYrD2EZmSJCVurfus\n",
       "kzCEm/yHsAxDN8R1ZA9iaRhsWUuSlLiywfqi7PfnYhVEkiTlK5sGf2b2+ydjFaTIEB5O0JdyNsV1\n",
       "lIYhLpMUW4r7jWlwSZISZ7CWJClxvegNrv5JMY2kdPTxMknXytbZEO9qkC1rSZKSV7Zl/UfZ7/fH\n",
       "KkgVnilK/eY+rJSlmPlJoxT5HG5UkjKmwdvjcKOSJKkyO5hJA5ZiOg+6LdcQWp5DWIaUpViftqwl\n",
       "SUpcmZb1jsAvARum3j8B/kukMkmSpCllgvVfAg8A1wAPxy2OpCalmM6DbsuVap2sZbrcs2nwee/T\n",
       "cJRZqzcBz49dkBz2BpekHF6zHrTavcGvBA5ptiySJKmsMqdjtxKetnUH8ONs2oT4AdyWdY94pl/d\n",
       "EOosRq/uVHuwp6Ro22l7uxrCdlxFC9tn7peWuWb98w0XRJIkVVAmWN8ZuxCSJGm+lPMVpsE1aENI\n",
       "H5qylhpXuYPZjpEKIkmSKigK1ldmvz/VRkEkSVK+omvWOwBvBo4CXsfqpvkEuDhiuQZnCCnPKkyP\n",
       "ri1G7+lY85C65PGkOFj/BiFY7wackPN/g7UkSS0oc4rya8DHYhckx6A6mNmyVixdtqxdz2rDyLaz\n",
       "3AUss9TbA28HfiZ7vQn4MPBoI8Waz2AtlZDK4ybdpqVG1A7W5xPS5Ruz958EPEZoccdksJZKMFhL\n",
       "g1I7WG/miUOL5k1rmsFaKsFgLQ1K7Qd5PEYYG3zZQdk0SQlYWlra9iNpmMoMN/q7wNcID/IA2ACc\n",
       "EqtAkiRptbKn4jsCzyKkpm8DHo5WohWmwaXEmQaXGlf7mvWitgOuBu4m3K+9B/BZ4GmEh4S8Hngg\n",
       "53ODCtbSEBmspcbVvma9qNOBW1gJvmcCVwAHA1/NXkuSpDliB+v9gVcTBlVZPls4kXAbGNnv10Yu\n",
       "gyRJvVYmWF8MvKbke2f9MaGD2uNT0/YGtmZ/b81eS5IUzWQyWfXTN2UC8J8Rxgi/HTiX0NGsjOOB\n",
       "+4DrmH9tfILXpiVJKlQmWF8B/ApwOKFD2FcJj888BVhX8LmjCCnvO4DPAK8ELiC0pvfJ3rMvIaBL\n",
       "kqQ5ynbf3JMwzOhbgHuAC4GXAc8HXlHi80cDv0PoDf4+4H7gvYTOZevJ72Rmi1tKnL3Bpcbl7khl\n",
       "BkX5IvBsQqv4BOAfs+l/AVxToQDLe/W5wEXAW1m5dUuSJM1R5lT41cBlM9N2AH7cfHFWsWUtJc6W\n",
       "tdS42vdZ/9ecaX+3WFk0dH3uddk3Xda145K3x31q3IrS4PsC+wE7ETqXLRFau7sCT45fNEmSBMXB\n",
       "+lXAycBTgQ9MTX8IeHfMQqn/bGmNg2lwqR1l9q5fAr4QuyA5zPVIJfg863Gwrkej8oM8TiL0AH8X\n",
       "qwPncjr8g40VLZ/BWirBYD0O1vVoVL51a/m69FPID9YaCA8CkvpirI8bTnkpPSFoicG632xZj4N1\n",
       "HYwgWFduWf9Jwf8mwGkLFUeSJJVSFKyvYaV1OxvpbfWqtBGcCXfK+hwH13Mw1npIeak9IWhJ7PSa\n",
       "wXq4TM1Kjas9NvhewO8BzyUMkAIhkL6ymXJJkqQiZYYb/TSwBXgGcA7h4RtXxytSPCkN15dSWRT0\n",
       "/eH0isvtQ10qk7e6ljDc6GbgkGza1cARsQqVaXxvSCllN6ay9CUN3pdypiSl7Tg2tw+1pHYa/JHs\n",
       "973A8YTnWe/eUKEkSdIaypwangD8DXAA4XauXQnp8EviFQuwg1lybFlo1pha1lJLKg832jWDdWIM\n",
       "1pplsJYat1Bv8LcBG6bePwFObaRYkiSpUJlg/ZfAN4ErgMezaYNr9Q6hhTCEZVB1rvdxcD0HdTN8\n",
       "fc8MlgnWOwFnxC6IJEnKV+Y+678CXhO7IJIkKV+ZPMC/Eh6X+QjwaDZtQugVHtPgUu1913Yaqe9p\n",
       "q7U0tXw+dWscrOtgBGnw2h3Mdmm4IJIkqYIywRrgF4CfIbR2vwFcGq1EkiRplTJ5gHOBFxPGCF8C\n",
       "3kgYbvSsiOUC0+CtcbjRbgyhXtpOzaaS8p+df9FY4VXKWbR8qS57X6S6DDnrtfagKDcChwH/nr3e\n",
       "DrgeeMFCJVybwbolButuDKFeDNb5/5v3virzMFg3K9VlKBusy/QGnwDrp16vx0AqSVJrylyz/m+E\n",
       "J29tyl4fDZwZq0AanlTOYNfS9pl3U98/pl7CXS5f0bybKlcb86hj6NtVl8rWbdk1sB/huvUEuIrw\n",
       "BK7YbL23ZEwH+yKppsnWkkp6tC/1pXHq0f5d+Zr1c4BbgRcRAufye5eX+NrGipbPYN0SD7hBj3bm\n",
       "VQzW0tp6tH9XDtYfJTzAYxP5gfOYxctUaNs8e1TJ0TXRAaWN+uzjQdztrLoxdTBLydi21SbWe48G\n",
       "IervIzLHtmEWMVjH43ZWncG6G2PbVg3W5XqD/zIrQ4u+B7gYOLyhQkmSpDWUCdZ/CDwIvAz4j8DH\n",
       "gQ/HLNSspaWlVT9azGx9TiaTbT9Fpt+31nv7yO0sSHk9u36CsW2rTSxrU3XWVb2XCdbLg6EcT7iO\n",
       "/VfAumglkiRJq5QJ1j8APgK8AfhfwI4lPydJkhpQph2/M3AcsBn4e2BfwlCjl0csF7R861ZfOq7E\n",
       "GI4wRueNaSkNmzgrldueuph/E9re5lLadorEKGdfll35Kqy/hXqDPwnYi9Ujnt1V8rN1GaxzGKyb\n",
       "ZbBejME6n8FasxYN1mWGG/0t4GzgPlauX0P8B3moJU3s+EUBOcb8mpJSWVLRxklE3e8c8/oa87IP\n",
       "waLrr8ynvwu8BLh/oTlVZ8s6R6pP5ZmVUllSlWrLukq5XM/5rBctoPZ91ncRbt2SJEkdKJMGvwP4\n",
       "OqEn+CPZtAnwwViFWsuYz1qbWN6U05xjYh0NV+x1m2pWZgy6ij9lgvVd2c/22Y8kSWpRldOCnYF/\n",
       "i1WQHHOvWdvTMl9KY4Orv7xmnT734e6kPDb4UcAtwJbs9aHAeQ0VqpQ2hj/sy9B9RfVQdhnaGKow\n",
       "1eEqtbaxDWXZR2NbR0MYEnnRcpUJ1h8iDIryT9nrG4Cja81NkiRVVnbY0NkBUB5ruiCSJClf2Q5m\n",
       "P539vT1wGnBrtBKVMIa0zzx9uX7Y9fzVHJ9ZnYZU68Xr5+XMq5ey67VMy/rtwG8CTyU81OOF2WtJ\n",
       "ktSClE+Btp1ueOZWTqpn3uq3tkfNczvOl2q9tHF8TulOl6bXQ8731X6QxzMI44NvYCVtPgFOLFmW\n",
       "9cDHgOdlnzuF8PSuzwJPA+4EXg88MPO5tLryJaIvw432UdvjmQ/hJNRtLj1D2K5mjWw7qx2sNxOC\n",
       "7U3A49m0CfCNkjPemL3344RgvzPw+4Te5e8DzgB2B86c+ZzBOofBOh6DdXVuc+kZwnY1a2TbWe1g\n",
       "fRXhQR517AZcR2idT9tCuP1rK7APsAl49sx7DNY5DNbxGKyrc5tLzxC2q1kj285qB+uTgIOArwA/\n",
       "npp+bYnPHgb8T8KgKocC1wDvBO4mtKaXy/CjqdfLDNY5DNbDMcSDqprj9tGexOq69vOsn0cI2Mew\n",
       "kgYne72WJwGHA+8Avk0YYCUv3W1gliRpjjLB+peBp7PyxK0q7s5+vp29/jxwFnAvIf19L7AvcF+N\n",
       "75YkaRTK3Gd9I09MUZd1L/B94ODs9bHAzcClwMnZtJOBL9X8/tHpy3jAqY7Pm5Kmxnduuq6rjK/s\n",
       "eo5nbON/j1XZfajMFvAN4BBC63j5mnWVW7cOJfQm3x74LuHWre2Ai4AD8datxqR0zTqlsgxdzPs+\n",
       "1/pO17OGoMtr1k3eZ/2KOdM3VSxTVQbrilI6cKZUlqEzWEuLGUqw7srCI5il1MMvpbJITTFYVxe7\n",
       "zjzW9F7l51n/bfb7X4GHZn4ebLRokiRprpRPuWxZS4mzZV2dLWutoXIafI81vvBH9ctSSqlr1k1t\n",
       "mB50mmV9DlMbo7y57ahtVbbrFrbPyoOiXEsImEuEXtv/nE3fHfgHwr3XkiQpsqJr1hsIAfkK4Hhg\n",
       "z+znNdk0SZLUgjJt+JuA55eY1rTep8HbTue1/SCKIn1MZbZ9y1Ifry12/bCT2PPTOCV2u2LtscHv\n",
       "Af4A+FT2Jb8C/KC5ckmSpCJlhht9E7AX8EXg4uzvN8UslCRJWpFyHmnhW7ee8IUDf7xkEynDorru\n",
       "Y9q2ir6kwVMZbWlWl5dauph/SoZw/Kqr7LI3dWxrIY5UHhRFkiQlwGAtSVLiynQw660qj+3rS+qo\n",
       "KM0SO41apY5MywVFy163XsZWn9PGvF0VGXNdNLHsVdLZMfbpMsoE652AtwLPA3bMpk2AU2MVSpIk\n",
       "rSiTBr8A2Bt4FeGxmPsTHu7RmroPYZ/9nA9yD4rqouh/0w9JX/NB6T2s6yrbSNH7+rjsZXW9Hw25\n",
       "btdSdt/r+jtT1fW2u6gyJb4eOAzYDBwCrAP+D/DSiOUCn2edq8s0oL1vNcu0dHuGMHBTX3RcL7V7\n",
       "gz+S/f4X4AXAeuAnGiqUJElaQ5lr1h8lPIHrD4BLgF2A98QslOqpezYYu0NUysxUaMzc5vqjzJp6\n",
       "BvC9EtOaZho8R4wb8secCjNYL2bM207brOv29DUN/vmcaZ9brCySJKmsojT4c4DnEq5Rv44Q7SfA\n",
       "rqzcwqWWdZmmHkJLcFaXw6kOof7UrCbGUVC+Kvt3inVdFKwPBk4Adst+L3sIeFvMQkmSpBVlTh+O\n",
       "Aq6MXZAcXrNuSRMD4Q/B0JcvBq+jNsv6jKdH+3duwcqUdnkEs+dmfy8vcewRzAzWOZroYNajjbZV\n",
       "famX2OVs++ljWtF2ffalU2qXT7lrqiwVPle7g9nyCGbHEUYwO4CWRzCTJGnMHMGsZ2xZx9OXerFl\n",
       "PVx9abH2pZzzvqOp72mzZV1mUJTZEczupeURzPpyEO0Lg3y+pu5bL6uNp581rWgM6Ta2j6L5p3Q3\n",
       "RN2T6iaWYej7aZEYy15l3PQ6x9KyZXQEM0mSEpfyKde2U48xnynO6nIEs7Gth1Rb1rEVlavrZ8QP\n",
       "vWXdhDYuY6SaBq+y7ZYtd5Vtrux6X6McldPg75qeDyuDoiz7YMFn1YG6O00f0q+ar+kDZ+ztaBFd\n",
       "BuQq8+7LgBspr+t5uh68qO4J46LlLArWTyEE52cBLyakwJeA44GrFpqrJEkqrUyo/xvg1YSRyyAE\n",
       "8cuAl8cqVMY0eA5737YnpXRl2e9pu+U5bQjb4xCONUNYhlllt7sYafCiskSq29q9wfcCHp16/Wg2\n",
       "TQPhCUA+6+KJmqqTVLe5lPtsxHiUbarrYVbsk+U21vuidV0mWH+SkPa+mBDxXwtsrDwnSZJUS9nw\n",
       "/iJC2nsCfBO4LlqJVpgGzxHjTLgvZ9dDk8oZexf6XmZIt2Xd9Xd2qe6dDIm1rHP/mfLaaXwEsyFs\n",
       "mGVvnambCqvyPU1cR2pDqremdV0v89S99WdWE7cMdX2r2LSur4fGuM2q7j48732LlLOuGMtQ9P1d\n",
       "BesyY4NLkqQOGawlSUpcmQ5mnWsqDZFKmrEpVVJaZb8nRtqx63rv8lpwU4NsDE3sfTjGJYYqPbDr\n",
       "bjsxRtzqy37aF02n+ct+ny1rSZISZ7CWJClxKec9Fu4NnlJv2zYGkW/CmG8nUnWu534b04M8mppf\n",
       "VyOY2bKWJClxBmtJkhLXi97gdaWU1mmq92tRWrwvD55Qs9pM2dW942Bs+nJ5oC931nQ5v1QuDdqy\n",
       "liQpcQZrSZISN+g0uMqJMd54SuqmiftyWaGJxyWWveugqI7qjikeY8CZrsVY9r5sj4rDlrUkSYmL\n",
       "HazPAm4GbgQuBHYA9gCuAG4DLgfWRy6D1rC0tLTtp8hkMln1U/Z/XSu7fGPWdh25TtIzvU6qHAv6\n",
       "YvYY1fYyLLrNxwzWG4C3AYcDLwC2A94InEkI1gcDX81eS5KkOWIG6weBR4EnE66NPxm4BzgR2Ji9\n",
       "ZyPw2ohlkCSp92J2MPsR8AHgLuD/AV8htKj3BrZm79mavS6Uyn1uKYhxr+yYn8rTROesWWW3syF2\n",
       "rGpT18vd9vGk6+XtUhN1XXfMihhlqSNmy/og4J2EdPh+wC7AW2beM6GBMcAlSRqymMH6COBK4H7g\n",
       "MeBi4EjgXmCf7D37Avet9UXnnHMOmzZtilNKSZISF7MNfyjwaeDFwMPAJ4CrgKcRAvh7CZ3L1pPf\n",
       "yWxbi3sgT1KJLva9q23fR6v0tf1UuC4N8XJcSmUpEqOcqd7vzpy4HPOa9Q3AJ4GrgceBa4GPAE8B\n",
       "LgLeCtwJvD5iGSRJ6r10T6VsWVdmy1pts2W92Pd0XUcplaWILeuRDTea8sbYpRgbn3XdLzF62877\n",
       "/kXmEfs7i7hvpK+NEyqfuiVJknIZrCVJStyo0uBaW1EaaQjpu6auyQ9NH5e17TL7VLH0DbmubVlL\n",
       "kpQ4g7UkSYkbVRo8Rg+/OvOelWLKZVGp3hKSUllSVWVbHXN91j2epLRvxLg1s8tbooZw18E8tqwl\n",
       "SUqcwVqSpMT1Mg1eN6XcZcqp63RXkaJUWJEq7y37HfbO7pfYjwMtO+9Y86j7/bEHmWlKqin5Kpo4\n",
       "DnUZN8quA1vWkiQlzmAtSVLiepkG76MhpHSH3qO9r8sQO5VZ9zJJbCmvr5TLVlbZ7aqNY9sQ6nNa\n",
       "nX3WlrUkSYkzWEuSlLhepsFTTcsV6foZrDE0Mf9Ue+/3SSoDcAzhUk9TutxPq6yHvux/ZQegKYoH\n",
       "KT2PfF6Z7Q0uSVKPGawlSUpcL9PgY1Y27VJ3nN8q844xPnCXhvgIxKa/s+31XOUyV1+2s9hjbrdd\n",
       "D23Mr4njV1Ni71Pz2LKWJClxBmtJkhLX+zT4ENKvVaQ0FnPdzw1xvcxTtOx9rIeUUo5tl6WpXtZN\n",
       "9GxWd+peqpi3TdgbXJKkgTBYS5KUuF6mwZtIIxWlL4qkPMBB3e8sK+VH/aWqjZ7idS/9zPtcyr3b\n",
       "2/z+KlLu2V82bVt3fm0se4xLBzHuZqlbZ2XYspYkKXG9bFmXPXtp6iyyy44eMTrQ1c0q1FV05t3X\n",
       "zmcptRqb6Mw07zNVy9J3McYnqDv/tjvP9rWzbhPjRDTx/bG/x5a1JEmJM1hLkpS4XqbBuxziMEZK\n",
       "t6nPdSmlssyqm1rsYxqwbKq76DuqfH+MVGITZW67g9dsWZpYJ22Lke5NdVkX0dXx2Za1JEmJM1hL\n",
       "kpS4lHMU23IIQ+xNXFfstG2MB7TPSun+zaL5tTnvlDTVI3pMdTYrpX2xyjzm6Xpdlq3PlC5TFn3P\n",
       "Gt+R+09b1pIkJc5gLUlS4nrZG7yuIfRSTKncsZ8A1vayplS3RcZ26SdVdXt8d/nkvKJ5tDHEbZG+\n",
       "DPrSVRyxZS1JUuIM1pIkADZt2tR1EZKUQr30MlhPJpNtP0tLS6t+ipR9X8omkwlnn312J4OQTNf7\n",
       "WvMvW9dVvjO2tstSd35VtvmmFZW57XJ1vb6KljWVbbqKpaUljjnmmM6OpSkfn6eDdVfl7GWwliRp\n",
       "TAzWkiQlLr18w4pNwNFdF0KSpJZ8A3hF14WQJEmSJEmSJEmSJEnSeLwDuB14HNhjavqbgRuAzcDf\n",
       "AodM/e8s4GbgRuBCYIcK8zsaOHKB8kqSNDqHAU8D7mB1sD4S2C37+zjg/2Z/bwC+x0qA/ixwcoX5\n",
       "nQO8q15RJUlKzwZgC/DnwHeATwM/R2jp3ga8uMF5zQbrabsDd2d/75GVZXfCg34uBY7N+cwJhAB/\n",
       "LXAFsBdhef4x+67rgJ/Opn2N0Ir/a+CA7POfAM4D/g74LuF2lY3ALYT6ANgue9+NhAzAO8surCRJ\n",
       "TdkAPAo8jzDmwdXA+dn/TgS+mPOZgwmBcPbnWmDXgnkVBevfAT4y9fo/AQ8B9wEXzPnM+qm/fw14\n",
       "f/b32cBvT/3vUuCk7O9TWFmmTxBS7BCW9UFW18OhwIuAy6e+azckSWrZBkILetlG4E3Z388gBOGm\n",
       "zAvWxxDBb0zkAAABX0lEQVRas7tnrw/KXu9JaFl/kXB9e9YLCIF0MyE7cFk2/WxWp8F/SGghA6zL\n",
       "XkNoPU8v62w9nEg4Ibgd+B/Aq0h7ECcpKocblbr146m/Hwcemfo773nzzyK/ZX0d1VuehwAfJQTG\n",
       "f86mHQFcCdwPPAZcDByV89k/IQTRQ4BfB3YqmM+8IDu9rLP1sA54gNDC3gT8BvCxooWRhizvYCAp\n",
       "Xd8BXljzs9NB80BCIH4LofW6bAvwHkLwfZhwvfqqnO/aFbgn+/tXp6Y/xOp0/JXAG4FPEVro36xQ\n",
       "3j0JlwkuJrS856XkpcGzZS11a/YZipOC/9VxGvB94KmElPXytek/JKS+/4zQKl8OyDcAnyRcN96c\n",
       "TZu+nr3sHOBz2ft+OFXWS4FfZKWD2W8RrlXfQAjWp099R9GyTrIyfz37rguAM9dcWkmSJEmSJEmS\n",
       "JEmSJEmSJEmSJEmSJEmSJEmSFN//B4Cm5V69lvQQAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7579660d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHMCAYAAABY25iGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXec3NS1x7+yvWt73Tu2wQ2MTTFgem+hEwgkkEBICCHt\n",
       "vYSSvASSl4Q00ntIIJBCGo9HeJRQE7pN7z1gOqYYjHHv9bw/ztGOdjzSaGZHI619vp/PfLSjK93z\n",
       "0y3n3Hul0YLjOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jbGxMAyTHz7QC6orTVFRdeWpy\n",
       "Xd62NjZdcZqKqitPTV1RVyJSz0kNJM5+nrqSbBdRl9dhbfaLWIfV0rKmiGWVZL+IZVUtLWuKWFZJ\n",
       "9gupq1uzVTiO4zhOV8QDpuM4juOkwAOmUydyLMi2Dc6zT2PzyxKZCtIzbxWOkw3SP28FXZHIOq7s\n",
       "AjIsP/vl+5uuJWK7rrSsafK9ABGQu9McmG6/TNY8m0Yny0sE5AsNU1Pd9kbUtlJTRF0bQB3KpCb2\n",
       "xSLWYaz9WmaYDwIXNEZLQ/ARUP70amBegxuYV7PonbeAxiIByDZ5q3ByZ0DeAopKrUuyRXIQrXkL\n",
       "aDyyG8gxeauogUYGTEOCxueZGV1JaxoOAp7OW4STO3nP7gpLj4yPz5IiBe9GcTvQRtdxxI0MmGF9\n",
       "tgFLG5ivk54NsU85tWP+R7pBsC5fKcWi1hlm90xU1Edb3gIyIIMZW6Y0Um/fsm1XoKsMbGpENoCH\n",
       "AaVIvqqrEa7exTzUJmNBHmqamgJRa8fwGWa2dDVH1cj20IUCZvuy8bm5ymg8/WybwT0s2R1kZOPz\n",
       "jWVD9A/NIhwIx5XhLsDOTdJSKLpywNwQZ5gAq/MWUAONHMV3oYBJS94CMiIMlIMyyPs+4H8zyDeO\n",
       "DdU/NINwZumDjjJqDZgJS3BNX8ZJ6BAypnkyGkX7rGVlrjJqo5EBs4qzlhaQAxporzNEfi8qG1Lw\n",
       "HGjbIelPkb1qyH8/kGYNuj1g1k+vsm0MRXhAT3qCnAOyWdm+Q7OwVmuQ29QePe9VobBeBvlBo4Sl\n",
       "IGb0Iy3ATJCu9mj0EGAFibMXOQlkv2YJStAR1n0jA2b4u9rhMelHog9FFYGRwAL7e2DSgV2M0bYd\n",
       "UdolZ1U556COXyWIcaT/tm2zfj/dzOXfGggHWJXusUqgjl+GpSj3LKm2JBuuAhXhRSN/Ab4DfCKy\n",
       "7xPAv0CmNNpYyoDZ/kaTTYDPArOB88oOGgt8pVHCUhC3bDTKtptVTpYAZN8sBHWSTYEX0ZcyxC1L\n",
       "XgJc0Rw5ciHIN2MSw7Ivaz9ybCdGncOBZXQImPJfIOF9Quu80bcBSY+cHu7YBbgJeAkYmoP9OpHe\n",
       "IJ9KOGAcMJcOAZNqM8hP2VuPPglyO7AOWFJm94PANsA8mhfIPl3Qh5fuA9kRWFOhrxwPvIb60R/n\n",
       "+OBShYAp3wD5hX3pX7ZFg5NsaX8flO2LD6QbyFE6geBDtvObIBMtVn0AeFg/skcz31ok+vozeQ7k\n",
       "HpDL7A0n4cecl7wvsu9EXaZpyHQ96U0/or9bXC9pb0s7wpbxHgP5IcjDlj7e0iPLTtKdDq85S1w2\n",
       "qvImj/Lrlhb7fWWb/T3O9pcfdwLIDSAPgOwTk72ALF4//0RdMfule7JDCesz1CqRJS6ZCvI0yNpS\n",
       "HjLczplg338KcnqyLukFMgqkH8g/Qe4H+W7kkDkRDWdb/juCHK4zbZkOco2ljwD5dPz1VLJf0/4w\n",
       "uQfInSBnmJ63KxzTTQO9TKxBTzXb0X73Y5D3gmwBcgjIGKujKsvDcoqdb7M8GRWpvwBkppanfM36\n",
       "ST+Q2Qm6xI6/p8wvCMgs03lDZN9dIEcm6Ks1wFXzD++1PncYyBdA9gXZHuQmdPAQ6LahpK1DAdkh\n",
       "kvTxCmX4i/isGqar0pt+Pmv23x/ZtzTSF79l6VPQh7l2te9vWvqX7HvEx8l/aD10Rld70jEVyqr8\n",
       "MyXy9wyQ87U/yu7mP47WfiADQPZPaz/N/YSngLeArdD7AocBfwSmAn8COT5y7B/RWdBi4GKQycA/\n",
       "gLuArYHN0ZH5InR2shIdzc42G+sgCAu6W4qn9u+3Sjod2BJ4FZhkaYcAHwV2sA8gf4pc8zkg1wM/\n",
       "s+vaAnXwg4Fva6XTF3gTHXUPBR5IoWmdlfU7dq0ftf1voCPvySCPAjuCfBkdeR9q5fBeu47fglwK\n",
       "3AIcDDxPaSmrrzXkJVZuj4OcnKxLDkSX2+YCa+1aLgFmoMvo26H187bZeTRy7n8BZ6s+mWnX1YK2\n",
       "i200T5mHzpABXkJnpl+sVlDA8rLvnwHOB9kJeIj22ZvcA4w3fZegbTF6fdcC7wHaQFYDRwF/MH0C\n",
       "zEKfAN0cuBGYXKW8voE+Wr+Z5fuSfd5FR7RvA9eg7fpWkHeB181mX+AIYF/dyrnoaHdHtH7/bHm/\n",
       "Ztp6oDPrdSl/pbIIOAv4gp37GhDes18Ncgk6U7kMXfWZDWyLzgYmoPU2C+QJYCfgXpA5aL3PA/4K\n",
       "/B/wLcv/SeKXyQFOMP0L0fraAtgV+LLpDLnItHzP+lmo7Urgf9AVq93RQfAos7ktcCfwhOnbAe0n\n",
       "T2kZJpbXR4DrEtKXlf6UdehDSXejs6oDgH+hPmo5Wuar7Jy30T4wAC3T3qgfW6ppVevwIrSd/x64\n",
       "EeQTaJ/8re0D+BQ6yzwLZGdgvtkdg/rW+Wgf+J1pG2KaQr1tpnc18BwwvEp7vwvY2/J4HK2/OapB\n",
       "9kBvh9iAWR5Fff8y9Cnx90UyGgXyAKWHhu7QgROH0b4qJaeh/XMEcFUVXeej5XsMcC/qQ5cCJ6F9\n",
       "7EmgLwTP6cCIfdEMR0PwFMjWpnsf4Kvo6uhKOv5cZgEwEORpLSceIME/VKtdAXkK2GH9H7DKfsCF\n",
       "mjmHm4jrUGc6Fl1XPhCt4IGUXn02045dhxbiO5bWD+2wvS2PdRC0xmgUkE3tvD+hHf8xtDD3Bn6C\n",
       "dtZL0SD+KNoJj7Tt66jjm4I6lk3RV/9tji4Z3WZ5DkY7xUi0gXSDYExCuYk5g1mWZ3e7lr9b3pPR\n",
       "gHgfGqA2MS0z1GYw3wYLx6FO7yDT1YIul/3ZynYn27ellfmBEAxMKKuHUOcUlvMSNBg8ijagVcAL\n",
       "VjZhR7sMbdhTLN+5Vn7PoIOIc1AH/H3Ukc0HrgY+btf0hJZbsGeCrq8Bt6KdvxUNOEcBJ5uGNVY2\n",
       "p6AO/AV0APGsleWOqHM/C3VgPYBXUOcaBrx30Lpbjnb0J9GBz6cTdF2LOs0f2LWss+8r1F5wZ+Tw\n",
       "CagDPNjK9l70ft2FwJnA/qZzhmkagXb8Laysl5v27gl1aLraf1A+HHWUPSBYAjIWdZrvRweK/0aD\n",
       "9BtWTs+iAa07BLebI9nO0ndGHcU84Hwr8xOBG9B6eQmCWfFlRQByCNAHgqsjSYFpmquDYNDRPN9H\n",
       "63EI8HXNn/Fo/12L9ou3UEc218ppPFoHT6N9fCzwLgRTq+g6mNKbi8LB4ForuxNQvzQK7QP3of6q\n",
       "O1pXW1qZjbP8etl2KztmgZ231vIfrddU1T90s/O7AV9D62xb9Anik0plBSDjUV/QHfWVb9r1h35p\n",
       "O7TNLUcHK6utnNah9diCtr3lEAyLLyv5BtoGh6D3JW8ErkX74a5WNsvQWxGP2d8zUR81w8p2K7Qt\n",
       "TQLuQH3LF1A/MBWdzPSxMl1T0p6o67doOY9DB6uLUZ9zece2lhbZBPWDfexae6gdFtJeThxr+d8f\n",
       "oyvZQu2iKmbTAyThXo8E6BLhaJBB6PJl7wT7ZfvDZUAA2aJkMxM2gJcrN5WNRFfswy41ZVJnWtZk\n",
       "VIdpy0taqbxcW8S2VUcdNqTtVKOIZZVkv6i6Gn9SAyliYW5kTq3TuK70eNuqjSLq8jqsjS6lq4hP\n",
       "kTmO4zhO4fCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA\n",
       "6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDp\n",
       "OI7jOCmo9k+Wp5Pv/yWbnrA/L11xmsK0ounyOoy3H7e/aHUYphVNl9dhZdtJaUXT5XUYb99xHMdx\n",
       "HMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHMdxHKahj/bm9ZlWQF1xmoqqK09Nrsvb1samK05TUXXl\n",
       "qakr6kpE6jmpgcTZz1NXku0i6vI6rM1+EeuwWlrWFLGskuwXsayqpWVNjmUlY5MSa9zfLOqyX1TR\n",
       "RWx41dKypoaykj6ZKqlqP3F/syiirg2gbTWVIuryOlzfhIBsWaP9QrYtfzXeRofsAyzJW4XjOBsV\n",
       "bXkLaAQeMDc+Ns1bQG3IKJAgbxWO43SKDSLWbBAX4dRE97wF1MibwHvzFuHEIV2tPTlNRcIYU+29\n",
       "5V0CD5gbH13RwQ3LW4ATy/Z5C3AKTU/b9s5VRYPwgLnx0RXrfIMYnW6g+HK5k0Qv23rATEZuB9k5\n",
       "u/ydOrERn7TkK6MmuuKsuODI5g1aTvWAWTcyeiO4Px/OMP2hn3ikJ3AAsGs2+RcZKfpsqK9tu8CI\n",
       "r92ZFL1ME5C+1Y/JhReBDzcgn14dv0p3kCENyLeTyPdABuatogpvAIfnLSJjmrAkK7eDNCXWZBAw\n",
       "pRuwo30pqrPIkl7VD8mVAbbtAgGzvSy76OhU9gUW561ifSR0Yo1oq+V1cybwbgPy7SxfBfbKW0Q8\n",
       "MtT+2CVXGdnTjCXZA4APZJh/O1nMMH8B3Gt/j8kgf0NaK+zrZj+SPSk7u1XpWf2QXBlp264QMENn\n",
       "nDBTkO2Ktawlvwb5q30Zl6eSBMbbdngD8ioPmOMrHpUP/5m3gAS2sO2ZICNyVZItoT/sl7Gds5vh\n",
       "B7IImLvb9jZg2wzyD9kkYd+nM7RbjZiAKbuD3NNcKRUZZduuMPsP30g0KOGYJ8h16X+9tyadBnzU\n",
       "/ralSYk4CzkCZP9sdMiPUjqNCbZtRHBrA3kl8vqzIt1vPhLkS8W7Xy/jgfuAq4FHgR3y1ZMpoT9M\n",
       "6sOdQEZHvkzMxkaJLALmMtveBGwHslkGNgA2r7BvPDAHSHp3YdbEzdwOAvZsppAYNgVeBbbJWUcM\n",
       "sgnI4/ZlsG0j98RkEsgj9ncYiCLBX/qC7JexyNDWVGBJ5SAlATDVvmym/UBagRuA6+2YKSA31mn7\n",
       "syDRAenxwNm0z2plYuX7p9ILXTZ9CphUn+0O9Debr4L8kg6zOmldv2xkGEgzliF/ZdufAIfbgKIA\n",
       "9zRlHLC3fVmE3ksuaF9Mi5wCEnfbJPSHdQRM6ZU8AJStgFvsyxXAcyDvqd1O46jxfX4SgLwK8nW9\n",
       "8S8Xgvy3pfXTztJ+XJqglvCeQRGQkZZXH5ATbd/3QVaUnKn0Brm2dN+m06PNKu+KlD1ikr5i+iIN\n",
       "QKZaB8KWkweDHGf6a13OTvFORrnSNHwH5LzI/sGR8mqrw3aduiQAOaTj04JyuGnsD3I8yGKQmbS/\n",
       "i1I+bundQXawvz8SyfYc3df+PW4mXU1X2F6mlP5e79Avm/3tQQaAnGzfw886kCdAXrfvt9p2Gchw\n",
       "6x/hteyaoKlMrwyw8/5l3wOzI9YPwlsTV2l7l5O1nclNICtNz1Yg80AOizE3IPoloax+VXbN4ecH\n",
       "IC+CXGyHTtX+L3d1rJ9OUaXNy24g88t0vW198Tx08NBoqvmH6GdnkPfY31eT7ZJiyne2yrdBrq8h\n",
       "2xbTf3RM+kcs/X8i+waDHFRdV3s5vQOyp/olGar9UT5VVpa9QO4BWQTyDXSAOpH6H8KsqKtaBQnI\n",
       "B9B7kWcCzwLPAfPQ2dwC9EflS9HZ6vuBtcBICNZpJ+FB9CnHtehyza/QZdvdgJMtfa3l0QsdkcwF\n",
       "doDgXzEaJeZ6fgacBVwKnADcDswCPgL8DrgGHeH/CbgIvf/yBHAMcBm6VDUMeMHyW4GuvfdBH97o\n",
       "C8HTCeUmIP8G/hu4GLgSeAy9B/dDO+Y7wIUQvAXyLjp7Og74oH2eAkYAfwQOBP5lefW0fMba8T8G\n",
       "3kbLfS0EsxLKag90CShkO3Rk9lO0zvYA1gBPUnpg61j0X9zsiM6OFwIPWzksRWfyC9H66m3ltNzK\n",
       "bBDwOtAfgrcTdJXvm63XwijgAnSpdQ76JOEy+wxE29NZ6FOeU4GbgfnAatPxPstjT3Tk+U3Ld5Bd\n",
       "9/EQfKIGXTOBh9AZbw8rk7msv5KxVs+nB/A94B+m7zy0ne1WwR5oufU2OUlt60b0vuN8YCj6ANc9\n",
       "wFbAznZtBwO/R9vSAOAlSqsxDwDPAD+F4BlzWpcDJ6IznU8B1wGr0H75AeBebauxZbUOmGHXeCF6\n",
       "O+QEtO2GnIq24SgXoqtQ16qvAHQQPR6CaTFlUMF+nK5wv+xj2m4FXkF9Qfmg9hrgRrQ9P4L2qaHA\n",
       "W2h7Ggw8bttZln8vtM+0AYshWKEDlWBtjCbTJaB9+kQIFtju4WjbB31g6ntoHa8EWlCftUK/B2ur\n",
       "lEkcCWUle6F1HqD1Dtp+ZgHPA79E28XbwFFofb8AnA/8FfVt56J97VTT+gp6n3YM6lcXAF9D/dYI\n",
       "YDLwJQh+mqDL+kVFZqP1djNwtcWbwLSeETlurem5D40Pg9EVqTfM7nzb9yawDvU3oyF4sJKuNAHz\n",
       "bnQJ4U20MIegjedp1GEcgN47fAn4OXBLx0qV09HOczfaAL+BNoQL0I46GnWCfdHG8Srawe+GYO8Y\n",
       "jTYq53rgDmAVBL+KJA8BvoI61FFosN8CdaCvosFnc7M3BmhFG/8sSg8qzTVNa9COZB0kGJ5QbuXO\n",
       "dh3a+V4h/n7Rw+jbUsKZ783Al9DgBVrO26LBoAUt55eAfSy91a6/d4wuAZmFNpAvAo9DsATko+hA\n",
       "IQxAy9F6vhXtJCehZfcI2uDfQF/a3ptSnXVHG+RKtEP0RB3MQrSdLIJgcIKuS9E2cyzacO8BjgT+\n",
       "iXbCR9D2cojt2xxd8lts2u9AA9EFkXzfQDv0QbQPcgjQYBtZNooNTgJyKtqJ+qCB5Eh04NMPrYPJ\n",
       "aNufgwaIEabn65ZHPwgWVch6L7uWV4H70XKeApwCvAnBj2M0hbp+iva1teig7zXgQ3bNV5q2i9B6\n",
       "+zj6lOh7TdehwDUQvF6W7anAr61sZqB1PIHScvhCCAYklNX1wIMQnAuyBQQv6qyDVWj/fBnth0OB\n",
       "O1UDx9ExaN2EtqEj0Lb4itlbbXpmoeXfw3T2AHpBcGq8rmq+TfZEg8KO6CRgMNp+t0f77Wy0juej\n",
       "9T5Ey4Lhdm2taD2sVi3MM01tCbbFgmqF0b4cDmyG1l/I07avDa3bZagPDf/eDF3WxbSvRP3VEtMd\n",
       "Dt4CCHaN0SUgT1FqV+XPhiylNNmZZfmPtPLpazZuAD5G5aeunwX+A5heIY3kfkgQmXXvi9bTCvQW\n",
       "wEsQxDyBLt1MW6tdz3tQ/78rGvR7UgqcS9CyDONBG/A6BFtX0pUiYDbjh8kSmB3RxiS9IVieYL/B\n",
       "uqQbOsJfalp6mf2KByfYFl0yYDt0JL8CWKIDCNkOdXAL0Qo7DngKgifs1BYIVkey6g+02QwN09UG\n",
       "LLfR1Cj7e34VXZ0oKxmDNp6EZSZpQWe462wQ009HztITWJ0w4m5gHZaXHaiWcOAmQekapB+wtDm6\n",
       "aqZK28pKlwRoUFjcsa6lH9p+18XYTtAk44F5ECy0/HtUqKMAHTDshQ7EbkUHg7uhgxFbrWI82qcW\n",
       "qp4wYAU/rF1XvbQ77jbTugANrIIGk4H6PZibYDulrtBWe5sNzGZPdND/GhoM3rJtCzo4DGdjg+3v\n",
       "bqZxHQT3xNgu0yRDgbnJfb6aboYACyBYE0nrZbPwHpRW7HpAsDKdrqZTl/1G3Wuol5Tr7k0l5X2m\n",
       "plPEskqy77pqs11EXV6Htdkuoi6vwxrsd8X3ijqO4zhO0/GA6TiO4zgp8IDpOI7jOCnwgOk4juM4\n",
       "KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp\n",
       "8IDpOI7jOCnwgOk4juM4KfCA6TiO4zgp8IDpOI7jOCnoUSV9Ovn+X7KY/9Kdq644TWFa0XR5Hcbb\n",
       "j9tftDoM04qmy+uwsu2ktKLp8jqMt+84juM4juM4juM4juM4juM4juM4juM4juM4juM4juM4DtPQ\n",
       "R3vz+kwroK44TUXVlacm1+Vta2PTFaepqLry1NQVdSUi9ZzUQOLs56kryXYRdXkd1ma/iHVYLS1r\n",
       "ilhWSfaLWFbV0rKmiGWVZL9svwwE6Z65mlj7ir/px3Ecxyk684Ev5y0iRcCUrUFOz16K49SLXAXy\n",
       "07xVbJzIx/NW4Gw0jMtbQDUE5GKQvKbtTVhGkADkyFpOqDMta7r4kkunTAjIrFpPqnF/M+iCbSs3\n",
       "32D2a9rfDLpgHeZK2iVZAflD5mpi7StplmRXNFhI0dgMuD5vEU6nybvjO07BkKEgrRnb+CXIj7K1\n",
       "0U7QJDuxpAmYKzNXkS9WCZJ7ZTiO4zSQOcC5Gds4E/hixjZCcn/mJo2AVZmryBwZmJDYy7a9m6FE\n",
       "kaEgRzTPnpM9SSN5CUDGZGz/fJA9s7URa7stH7tOCoY2wUazAlnuk5oalmS76gxMegDzEx5JDgNl\n",
       "Mzv9T4AbmmjPyRTZmuSVmCOBmRmL+CzwkYxtxJE0IHXyZUkTbDQrNnSJGWZYGD2zFJIh/WzbNyY9\n",
       "j4B5ShNtOdkzUjexg8pBTdKxtEl2yumTk10nFgn/1/HyXGU0li4RMMOA0lU7RX/bDohJb3LAlCYu\n",
       "/cZq6AayXd4qGkyeD/2Ebat/TLot10pL501Jd5CyvtjeptZ1Pv+68CXZ4jHMthtS3eS+yllLwIyb\n",
       "oRWd/mXbcpo9w7zbtu82yZ4h0RWCA4EnNHB2BeRskLPyVpHAJrYdFpM+tGzbGb4CLAGJ9sfBDcy/\n",
       "HrrqYHpDxlY9Yv1eI2nWcy7NfNNPRdI4zPChmJiAKW0gIxolKAMKFDBlKrBj8+y12z0PWAFyHcgO\n",
       "wBBLyOueV638CPhW3iISGGXbuH4Q7h/eAFuTbLs4si8MmHEBO2u6UMCUkVUeAtxQCANmhoMoaQPW\n",
       "AN2b9IxL7qtzaQJm6NjjZpjnAW83Rk4mhPcw4wJm2/rpsi3IARlo2QF4FQ0AvZr4bsTwTU3vBR4D\n",
       "LjMdp5XNVIrM3LwFJDDatnEBs8IMVDYDqSeAVlp6HgysLeUv/UBGVzguK7rSst/rwHV5i2gCY9C+\n",
       "PrLagZ1gKPAW+sBbhoOm9vuxCQMdGdiMoJ0mYIaj5zjHWqHTy5QCPWoejrDinFn4QMamkX1XAreX\n",
       "vkrc/c9a2Q34KwRfAeYBWzYo31p5DDgUfYLunJw0pKS9E6yNSQ9/zlF2f1Ai9Sk3gfxXo5VF2BR4\n",
       "hVJgLGcEWt/R0f5rwFW1mZEpdGjHMsSW1YcAz1EKyJcBb4DsXFv+dfEE8L7Kgz/ZGuTzTdBQAYl7\n",
       "SLE7MCFyXHd7i4ytusimXWMQKQHIhQkD+wnAPcCoDGfU2wMvAwuJfUZE/gJyRtm+Wh8gDWPMkIRj\n",
       "5pO4YlaxfTbgmYKyHEGWgbwJ8rPShcoRpRGs/NMa3IftmJ3t+yXWoT+u+wHkVZD3gHwSZCv9bZpM\n",
       "BdnJtj0ipruR/Equz4H8N8g3bUY4AmQQyNMgX9HRuwwH+T+QpbYNQL4Lsos9+HIoyG9B5pj2QB+o\n",
       "kMdLnUim2N+tIJMTNFFKk25aVrKf/d0CcjDIGhBbkpWzQe4HORFkC/S3mT1Adjd9NuOVHtaJq43g\n",
       "ksrq95G6+zWIOXbZ167tbpBLQV4G2QtkDyvbCehsJTJykxb7RF74kHgvNEnXGyC/A3kKXS7+pJaP\n",
       "dEed7b4gu5rGpSDHg7wfZB+ru0EgXwSZC7KC9odfZLSdY85EBOSekt6quvqbhlZ0Jnislc0YtSFb\n",
       "WfsTkMvRPvJbkL9bO+wOchzICVY+r4DcAXI6egujt537uJk8FGRRgqZQV/j5PMhjke8CcoFtp5ft\n",
       "P8Pqcaa2QQDZzso2reNKKqt/m52HQJaDfAvkIHTE/zfaX50nvczu0SCj9HuiyZaObV76laUHVXSN\n",
       "Wr9dtgfHxXrtsqeVvUTKRkCutHo7BO17Yu2xJ9o/Rlnbs8FLh5WCanV4K8izIA+AXI32zVNBPmHt\n",
       "4xCQo6wtnQtyuLXDg0HORJeUj0D9raB958MgH0R97Z+tbTyF9pWVICuqlNU2dl2fQ9v6SabvPZbv\n",
       "WVoXMhbtn5NAfg6yFuQUa9vn0P5bYxlh9ddqGt/qWI8iIDtVKS9B/dAJIPNBHgRZgvbNY0C2t3wm\n",
       "gYyzv3+F+tEzrb5+Yxq6WfphqD8daOUpVs8ByI9Rf98KsnmVekysYAH5EcjbqNO4nVJnfNW279Cx\n",
       "k1b6rCoVXuJxz4PM0sJJLMxbQF5DnVF47gqQF227IrL/w2gjvSuyb5Ftl4F81f6eW0HPQ5Qco1Qp\n",
       "SAE52WyF588DWWe6PhM5tAcavO6zBrHUjp8dKa/7KQVvQR3QRWjwPx/kTyDf0YZRz7siJUAHKv8N\n",
       "clnEzuu2XYg6wSXooGK+7V+NdsRFdm1i6e+gjnkWyD36PbEO/4UGawF50s4VdGCxLFK3t1l+cW3m\n",
       "4rK6jX7ui1zLHfb39VV0hZ/wOuPsXos6pz+gjvU6tN29ETlmvmn4lNVp2A/esbQbS8dXbVtLQDaL\n",
       "1N0ZID8AuQZkc9QhhHbPBfkeHftHtG4louMFtM3eZOU4E+RRtP3dXaWsjkGddKXyWWLb5RXSllmb\n",
       "udPq9wmQh0H+YbbD/nAF7X1PnkEHdj8CeSRlHS5GfUo4wLgzkrY2okXoOAh53rbrIvvernAd4b5H\n",
       "tP6r1uEM9J8FXI866ctBbrZPtByXoDPI5+z7DEpt/CUrow9bHa9CJzXXoQOn/0X7RA908vDPFGU1\n",
       "P2L7IdRvPVPhel82e+ejwb07GtTDfhs9dqnpfEbbkTxMqT2+AHJ7yjp8Gu1fD0bqtFzXugr7ws/C\n",
       "hLRXI3+voD0uVNZVbc1X6PjquL3Q+xWC3jd50T6LIbBH2qUFXertAywAdrbjl6L3Oqeg96MGAw8B\n",
       "PYA9gVl/pG3AAAAgAElEQVTAInTtfTmwEoInYzRKx/0ykvb7qIGY1pbSMcFKdJnlo8DjwO7oo/63\n",
       "A+sgeARkErAF+pDTWuAN0zgJfbL1QOAlCK5OKDcBuQG4Bn0xwSpgol3PE6qt4mmtqoP+WgbBGvTH\n",
       "8CNMz+PocsSB6E32pejy3hJ0OXAOBL9KV1bVkDYIlkW+B6ZjCLqsiF1XK3p/eA1aXqvtGgabzZHA\n",
       "8xC8Xpsu6Y4u/3dD20+r1V8Lupw2BNjJ0t8GHodgBTob+YhpaUGXJfdGl9wfBfY3jdOA3SD4S7wu\n",
       "GYG2y0V2TashWG1l0RPtAwshqLBMLAG6VNVdj2EV2pYC09MXfWDneXQJdwra9l+AYGaMplDXBAhe\n",
       "iUkPD9sCeA2CyJOL0t2uZx9gttmYj5bVENPUG63PZWh7Deyc7hDcEqOrvB92Q/vvYrT/D0HLL0Dr\n",
       "YQXwFDDejukOHIfemnjH7D6DtrMX0HZ+BloPq03nO+j7n5+A4Kp4XbKD2Rtu+fa3PN+w62q1619n\n",
       "1zEeGEupzleZlh523Di0bb8FbG76V5mud4GpwCYQ/DlGU4XyqnhI0NFPSE/VFsyw7zuibb7WnxDF\n",
       "2RaQXtrHKmlhU7R9tqBlYb/1Lfdl0httQ73Rdr8O2A5dsg3Q8lkCbA3ci/rV5RDckKCrVfvdenZW\n",
       "oP1wFdquWswmqF9YZnkGaL33QtvUaNRnjEJvX7yN1ulMK58d0fp8uUpfjCVptNQMEkYfuVFlBJkb\n",
       "RSyrJPuuqzbbRdTldVib7SLq8jqswX4X+R2e4ziO4+SLB0zHcRzHSYEHTMdxHMdJgQdMx3Ecx0mB\n",
       "B0zHcRzHSYEHTMdxHMdJgQdMx3Ecx0mBB0zHcRzHSYEHTMdxHMdJgQdMx3Ecx0mBB0zHcRzHSYEH\n",
       "TMdxHMdJgQdMx3Ecx0mBB0zHcRzHSYEHTMdxHMdJQY8q6dPJ9/+STU/Yn5euOE1hWtF0eR3G24/b\n",
       "X7Q6DNOKpsvrsLLtpLSi6fI6jLfvOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOA7T0Ed7\n",
       "8/pMK6CuOE1F1ZWnJtflbWtj0xWnqai68tTUFXUlIvWc1EDi7OepK8l2EXV5HdZmv4h1WC0ta4pY\n",
       "Vkn2a9QlXwSp9pv01JnVmZY1G3gdNpy67BdVdBEbXrW0rCliWSXZd1212S6irg2kDkVAxndaTXXb\n",
       "DSgveZ/qrf3EGvc3iy6ly1+N5zhOhsgMkJa8VWxA7Jy3gI0ZD5iO01BkEsiUvFUUA+kGTAL65a0k\n",
       "Huluf7gvdKrSqHV7x3GUh9AAEeQtpAD0tm2vXFUk07Ns62xQSG8Iljcqt4KMquT3IH/KW0V1ZGST\n",
       "7IwH6dMcW06DKXJwaDZtti1yW/aAucEiuwLLGpljQQImHwNOyVtECmY1yc7LwAVNsuU0lu7VD2kE\n",
       "EoA8D1JkRx8GyrbEo/LFA2bmyEUgf8/B8DaNzrAoAXNl3gIKyOZ5C2ge0qYBYIOgWX2qHzAR2K9J\n",
       "9uqhrWxbRMIVAQ+Y2bE38MEc7A5rdIYN6tzSp5PLlasao2ODYmNa2lsKfDhvEQ1kTRNsDLBto34O\n",
       "kQV9yrZFxGeY2bMgJ7uDdSMNW/Vp1Gj4jyQuV8owkDEJ53vAbEfCOlndBFtFeuhrq7wFNJBmBswR\n",
       "TbBVL11hhhkGyo1pgNpsrD80/bmMTWzbMLuNCpjVZpfXAzMT0rtAwGxacAkdYd8m2FoNEvldl2yZ\n",
       "070GgGNAmnHNzaAZ7XmgbYc3wVa9+Ayz8dhsqVCD3WqEPytq9uAuDJgN8yuNCphrq6QPqZK+okE6\n",
       "sqRZznwwOrscnK2Z9nuG4yI7DwQ+GJnlNoF2HdvQNR78SsO6JtgIB1ZNenK7LgbZdkDiUfnS1e5h\n",
       "drUAD9AfWEgG9xSr0GUDZrUlqgoBU46vV0xG9APmNiYrCUDinMgQ4EVKzqYR9kbbT1Wia/mh/ehg\n",
       "Jpy1xNwXkyEghzZQV/8yW6Nt/7dBNo0c19o4m1kiofPt3YSHmMYDTwFJtzryZmjZtgzpDvKjpqmp\n",
       "TPhb0a4SgCJtrMswBHiefALmm8ROPuS9IK/WkmGjAma1EXWFJSrZUT9A+/26Dg69ID+rkDGmaywa\n",
       "yBrBb4i/ET4BeB1YAjI2oqMzHeQp9Kcqa0COtH3hU7jjIsdtYdsP2n3nG0C2AtkNZF/gHOBfndBR\n",
       "zu+Bn6gujgJ2trL+BnBq5LiVIHs10G4nkJNBvh+TOAh4G+0Pkft20Z9+yB0gl9Rpu6cNtgL0qcP/\n",
       "AbbWV89VerBBhma/WpD4QMVQdGYRGZTJp0Gesi9jgbN1INaePhFk/0arrIx8EviLfSlbLpTPabuH\n",
       "Tva9ahoEZGrk+wCQyANw8jTIJroEK5tTWlGwpXgpwNP00i1+gCjhYOkZmrokK93Rdjcd2DbmoJPR\n",
       "Nhg9b3eQyXVb1VFztNNJH5DbS41I9gF5zSp+U90vXy/dj5IA5CVLtwKTwfb9Ufsepg9VZySbgaxQ\n",
       "+7G6LgD5GsiXQL6sjUx2N72TQY4y29vb/lZtXBI2tAkgR9gx/W3fTSAngWwH8iDIO6ZrBsj/gvwx\n",
       "QROlNDkEZArI3ubMWkqzJBlteQrI90BOtP2tIMfY/tNB/oD+fmkTuzYpdQ75NuvPwJPKSkCeidgN\n",
       "P8+CXA4yCA2Qy0HuqXBc+eeHIL8EWWDX+EmQU0D2ss9ErX85NIUuATnQ6n4uyP/ZvufR18xdbd+v\n",
       "iNTnPiBHWlv5LhrY42bFrSDj4uuqoq5vaL3IYegsaBuQz6Jtf57pGQtyptXhRJDDQf4D5E6Qt7R+\n",
       "ZDLIfXb8+1BnKCBzzFR4P+og9J5UlbYlAnILyK+tfFpB7oqU40UgF1p7vdX2XWn7vmjlV88Tg9Xq\n",
       "cKfIrvFmayzIn0AesLrraW3ietpfHi6H2/l7ggwE2QLk/kj6IJDHTXcL+vOjXiD97DpSvrhbRoKE\n",
       "T0x+AuQ4K7toG/ydpbeYPQG5DaS//T0ooqk78SsI1epwIu0rEdLH8r4E5ABtA/Il29diZSIgH0B9\n",
       "goA8CbLU2kyb7dud9kGZtNHB4Uu/ku1YTVuA7Gd11MvKppt9D8sjsO/jQba2720g24L8BeRV1Pf3\n",
       "pn0iJG3W9u4COQ31r/2tvq/TdpGoa5TlN5HSYHEK2u9OQX2kgGxf4fTdQRaZ3b9F9u9K+0REptv5\n",
       "kRmoiLa5uv9biQjIKyDL0E4aBpFFIA+VDMjFIK+DPBWp2OmW9qilP0d7h5E1tn0EZC3IG1bwgjru\n",
       "F6sUZvh5AXUOi1BnthZkFh07Q/SzyCp3qX0Pr+fSCsfejwani0HuBtmjSkFKFdszbTsbZBolZ7og\n",
       "kn432kiHoLMRsXINr/V/I/m9buV8Y5WyiiyFyI/RwcYHQHapoHEE6hBOQgcU56LOvtUa334gPwX5\n",
       "BTqomG/bR6x+BWQVyEqQhVV0tYBERn+yg51/LOrowzqYXUHng9aGfgVyntXrM5Ta201o8H/Tjn/I\n",
       "yvsfIHelbFuV2k5S/b5g2u9KOCb8hHX/cOk6UwXMtbY9xXaPAPkNyNFl+X8PdapXWxlF02bZtcwE\n",
       "ecLq7SaQP6NB7mqrz7/r/qpltQzkXpBrKlznCTHXfxWlvresQvp0Su3+qki5v2Nta0YVXR8D+U+Q\n",
       "n0TyvDny9zx0wDgL5K8g76L+bYWVSbmev6D9JuozbgL5HdoHT9PySlWHgvqf+QntYznqEyulhYOh\n",
       "VWV1+ijIY/b9etTHWPnW1d6j7a28D4b++1XbvmblGX5fYmV8P9qv+5ueRR3zqUlXaPP2CmmPo+12\n",
       "umleAXIGOkGZjcaln9mxb4CcDzIHbbd3o/7su5b+ZpyuavdZrOExB13Sa0XvM92LrkePAF6AYA46\n",
       "Qt4ZXZZ6AjgEfTruVXRavAzYF3244xn7bI+uyb+CLskdAXwXnUI/A8ENMRpF90t3CGLun8pQdElo\n",
       "EfCWae9m27HoUtE7wB623R39p6Hbossdf4ag0tOOEqMpLK/d7frb0Hu7rUAL+nRbf7vW5RBYhUgv\n",
       "YDPgXQjml2VneoMVIG3A4eh9xlvRpZnVlucoCC6J0ZWkF3Q5bCL68og5ELwRf2wapJvZGwHMhmBN\n",
       "bbok0LKRHqoreFb3EaBt712gNwTzys4bjr7oezV6f28dWsez0DYwAa2DEcAbENwRr0u6mYYRwNaW\n",
       "x/PApuhvRkfYvvCFG711f9he2mcfY+zYF9G2d6JpGQ68BswHdgBeAMZC8IsYTQnltd5hQaltddg/\n",
       "ilI7bLHr2A5YbAdYO2IQMA+YgS7bL4Pg8hjbgs5sdkHvFw1E2/7TaJlsD8E0dZZshS69jzLbE8zm\n",
       "HegP2x9C23Rv+/RE77PPRW8bPGsaAsvjaQiuTdD1N0t7FbgPLfdhqB8bpbaCi0tlxqHAZLv+Jei9\n",
       "r1lon3vGNK5E+/NS4H67pkl2fKD7gzNiNIW6Njcdk0zLA2gb2cWusVWPYxy6vD8D2BKtt3+jD7AM\n",
       "Az6Ktu9rTftoS1tsenui/rcF2BWC9yWU1QS71rAOV6O30V5B/fNulvdctB+sQttzCxobJtn+I4HZ\n",
       "VnZD0fp9FIKlZqrVjn3DrmGO9eM4XePQtjDPdK0F3oKg7HV3MtG0D0Pfj/4qMBOC2Zbe17TtD1yF\n",
       "3noaAdwAvAS8H633LWzfhCp9MZak0VIzSBh95EaVEWRuFLGskuy7rtpsF1GX12Fttouoy+uwBvtF\n",
       "eTWe4ziO4xQaD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMC\n",
       "D5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIP\n",
       "mI7jOI6Tgh5V0qeT7/8lm56wPy9dcZrCtKLp8jqMtx+3v2h1GKYVTZfXYWXbSWlF0+V1GG/fcRzH\n",
       "cRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRymoY/25vWZVkBdcZqKqitPTa7L29bGpitOU1F1\n",
       "5ampK+pKROo5qYHE2c9TV5LtIuryOqzNfhHrsFpa1hSxrJLsF7GsqqVlTRHLKsl+IXX5m34cx3Gc\n",
       "AiMTQA7KW0UaChnl4/fLDJCemalJtF01DZBuIEMaqqa67S5Wh02jiLp8dlIbRdTldVgbKXTJ7SDN\n",
       "1rlRzDAnAYPyFpHAZ4B38xbhOI7ThQjyFhCyAQVMCd+Lm/UMszOMzVuA4zhOF8MDZgb0sm2fXFUk\n",
       "05K3gK6L/AxkaN4qnGYi3UE+1ER7/wvSmrGNFpBjs7XRKCQA2SFvFRQoYFajC6xvt+8aquvcsnOm\n",
       "ijp3D/NXGa7FZ3yPQi4F+Vw9J6bbL18EGZmQjTTYeRbxno7f/+qY/TZV+kuDdYmAjKrv3FS2BeTg\n",
       "HO7Hme2a9gMytQla09zDvNPvYTaerjDDrPbv1IrMicDHM8z/p8BJGebvdD2660aa0G/aZ5ZZrwKt\n",
       "yzj/RmLxQfrmK6M4M0wPmM2le94COknWo7wNqT0WDJkE8mzeKmqkn20HNMFWn7JtVqxNTpZxIJdl\n",
       "rCEt/W07JlcVHjArIYdop66brhAwu/o9zKxHxzEdQ8L9ed8i6Mq8F5gMUuSnyMsJHfbAJthqVsAM\n",
       "Z81x90oPBpp43zaRsPxH5KrCA2ZFbgK+04nzw4DZL/GofGnTjRSp3Gsh64AV1zFayrZO7Qy27Va5\n",
       "qqiNcGbZjCBvfTPzgNm7ip1qz0GMAflCIwUlEJZ/Vr8dT4sHzI5IuFS5SScyCQPm4MSj8iVseL0T\n",
       "jyouOc0w251LW0y6k4i0ojMX6Fwfazahw25Gny6bYcrHMnpCNPRTcfcFLWBKXF84Ffh5YyXFEs4w\n",
       "Cx4wZTTI5GYIqSNgSjd7orGRyyTDbTulEzf4w4aYd+UmEf4sosnLYrJbnedtC/LXyI6MAmZ7nZfN\n",
       "INuXrSIBUwJ7InowyOmRYx9s3M9O5GmQOoJzYVcOLgB2AVZS6mtdgfDe2bDSLtkfZM/6spMLQfrH\n",
       "JJYPyv4M/Chybos9RdvZ5xCqzTArpEvPSB9ZE9m/i84445DT9UnXugmXYiM+VUaUnmaXgSCfSc6i\n",
       "IW9eqzbBuAloyv35FB18vZHOFPSJxg9HjhkHcmCVfHoljJqmAtOB54DjrIHU+mRWWKkRpylB6TFx\n",
       "6WUNPs9lvaHAy2gZVkAC1dlwzrKftCwC+XqZzbIHKuQPkWPeD3w0ErhWob+HPH59E/JrkEPr1Bc6\n",
       "h0idy/aog4+mtwFHAHOA44Dz7NhuaECYbPW8E8hmHQNqTWwDLLX2cmCpjGSyOamdbeC4GcgTESe6\n",
       "FuS9kWsIdPSbJ9IfCOvrHSDmpzsSkPizniyQHiT/DGxztK6jQf4O4Pcp8p4DckDkex/0TVtmT+4G\n",
       "OSdyQqUHjIJI2w9/bmL+RYaa/loHSaHzjxvYV5pVPwlcan+HM9AewIPA30C+AXJYhbzOA86psD8t\n",
       "E4B7gD0i++4FHrW/PwRc2LEMpE+pzOT9wIpO2A8JZ/1xk6kqL4SR3lb/mSMgvwS5AuR3IGeCzAdZ\n",
       "Ys5kH3UWcol9n6Qjc9nB9o8D2QLkCyDrQK61Y/YE+SnIUyBngyyw7R6RvMN/sxKn6xSQ99D+EIP8\n",
       "BOQxtdF+2MctrwNo/01RuMwi3dSZyDj73h3kYNZjvSBf7XdWu9if46zcQmfbB2SZ6fyn7g87tASm\n",
       "59u0/95IRppD/mhE40DaR2zhOVV1Sak82z/3oA9ZfY72QYRsho4eBWQNyJYgf7Xv29r2Rds+aPaP\n",
       "ADnKzIjV799Ajrbr+ViyrvY/J9j5V0T2HWX7+qBBS9CgH2r+rG1bI7qPtXYkIN+LlGVvkMhSpHSr\n",
       "Ul6XVSizGRX2hZ8VIPdFvj8Ecj3ILbT/flROAVkF8i2QD4D8p+3/ktapDE/QFOo6C+Q3IN8B+SHI\n",
       "3iAng+wKspe2FbC6mYoG+F+blk1APml63o86/PEg5mzk6FJ5JtXVepouRoPPbSBHguxun75of14E\n",
       "sjnqF7ZEVwa2s/bxNbM5Ee1/fUD6WVvcFeRdy/9HIOeCvBQp4zOq6BKQJ0HuADnNzhfbnhKp0/9E\n",
       "/dUXbd8fKbX38HMb6mui/iNMe92+9wG5KkUdnmnnfSKy+wgtOwD5raXvC7IfJb81x9J/Yt/HU+rL\n",
       "tgWQ41B/G04QrgH5apWyei/rDexkE5CXTYOAHNLxugGNDaF/GIf6rJkgt1p6WKYtVr8Beg82OstP\n",
       "4x/eBVnbUaM8SPsgob0uBlKaIH2a9j4vt6OrRruDfIZ0qwR1Pa9R7hheA7kcZArITWVpM227HA2q\n",
       "ggaIMP1YkB+jzmWt7bsXdbA3RC70dLu4LyaILtd1m9k9wr4/Ssm5V/q8Ufb9b5HKv8byew11eI+D\n",
       "nAHy3yCXVCnIML/HK+R/P+pUp9i+BbR3OFlmZbIiUi7lmq+27SsgX7e/V1nef6xSVv2soU5CO+QF\n",
       "ILNBnrN8riuz9aZt50f2XZ9QnjeVnbespDdR11fQGe2rIA9YGVwO8meQiyyv34BcZXnPpv1HzDKN\n",
       "kgP8R0RL2LYupWNgFTvuXq3/VB11e9SZfAhtuyejjuEzlILqMej9rkusjewL8h8gH7ZyvhJkIToT\n",
       "jZZZtG/Mq1JW0bYV7W/zQW5OqJfwc0Qkm9PQ/rHI0tagDiX8PgcNyD9GnfHTVeqwUluNu87yzzxK\n",
       "Dv9lOvYLAfkEOigP2/0fUT8iIA9X0fWzCvZOjfz9VIX0iyJ/f7ks7XXbrgN5viztL7RPGqrW4TuR\n",
       "8/6Pkt8RkJW2fVqvr72Ph+mftLSo/lkRfV+qcE0vVtEVPfYKdND7gn3/BRrkfmv1cknk2NCHPhhT\n",
       "t39B+3X4/V3Up4Z1+UuQy6voOhlti4K22d3R4Dsokm84wVob2RcOml+wMi7X9iDaLx8AOQfkLnRy\n",
       "8H2QE9EXtFTUVe3pI4k/RgJgHDAefVT6XnTq/ja67PgJ4HfoMttSCGxqLkOARcAoCGbWaV/Q5aNB\n",
       "wCpgV+BdCG4B2RtdSmgz23egyzr90OWBXYB/o0sihwOP2997AwuArS29D3rTewW6NNhTt8HJ8WWC\n",
       "oMsQk4BXzO54vVbmAzdC8LJpnAzMQu/TvGU6xtt5e9i+za0816JLSVOAN0zLqojedyE4Lb6skupZ\n",
       "pqA/OXgNXW66B4KHQfYFZqPL9sPR5Z9dgRfQJfRJwJumaVPgWrvOZ9HlpD30+oPvx+uS36Hlew9w\n",
       "K7Ajuhx6KLp0dSVaX5ug9+GONj3PmeZngL3Q+zr/AD4CvA602vmLrJyWofdjBpr+4RDsWl951YsE\n",
       "aJsUCJaV9gWCjpxXQfBOgm1RZxGsUYfBYv0b0Put4TMFh6Jt7V5gBQSLYrLbHm33m6Fl2g0tm63Q\n",
       "dtgb7TMzIfhWjC4rq/brGIv2FZsN0WL57mF53oP6jAXADsBFZmMy2g+eQJePrwaWQPCamRms1xSY\n",
       "E5PuEKwl0T8QWDktoP3WU7AWXfFZAcFKkF3RZerAPq/Q/nKRYDV6m+lVK4uvaVlwMPA/aN94H9r2\n",
       "1pmNeQn90HTJqcBtwGFof+mL9nMBfo32qRbgB2i7HW/5jdQy4TbgBuAstH9MQPvuPqg/nI321Q9Z\n",
       "XqIagxPiy0oOtbQt0bp7XcsimBU57CD0NshQ4JdoG5uH/jOJscBiu5Z+qH8YbuU1A9gNmGvlNNF0\n",
       "LgfeguCiBF23o/7kJrN9sqUtBW5G+1N31PfMsXKcgd62mWXXvtzs9rayuhyNTUNQv/oy6q8Gmo4F\n",
       "ek3BJ2J0JZI0WmoGCaOP3KgygsyNIpZVkn3XVZvtIuryOqzNdhF1dZE6lDEgH0RXybJ4zqOK/QxP\n",
       "aiBFrGTvELXhutLjbas2iqjL67A2upSuoj4G7ziO4ziFwgOm4ziO46TAA6bjOI7jpMADpuM4juOk\n",
       "wAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TA\n",
       "A6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpKBHlfTp5Pt/yaYn7M9LV5ymMK1ourwO4+3H\n",
       "7S9aHYZpRdPldVjZdlJa0XR5HcbbdxzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRxnQ2ca+qRSXp9p\n",
       "BdQVp6mouvLU5Lq8bW1suuI0FVVXnpq6oq5EpJ6TGkic/Tx1Jdkuoi6vw9rsF7EOq6VlTRHLKsl+\n",
       "EcuqWlrWFLGskuwXUpe/uMBxHMdxUuAB03Ecx3FS4AHTiSAfAGnJW0VjkU+CdM9bheM4Gz6FXEdO\n",
       "2N8MNuB7FCIghzVETXX7TSorEZAtarBfS3n1BRlSj6o6bHfxtpUJRdSVcR1KS0x7rnpijfubRYN1\n",
       "yVCQR+tWU8W+zzCdcgbnLaBxSPiu5J4ZGbgBeCWjvJ1CIyeBjMvB8BnAC43NUh4GOaCxeebGZGBq\n",
       "Vpl7wMwduQ8kK4deDxtQwKSfbQdklP+2ERsbObIdyOi8VTSRS4Cv5GB3YAZ57gQcmUG+eRDoRjKJ\n",
       "bR4wc0UCYHcKEaTaG9iGFADCa8nCyQD0zijfLob0AJ4ALstbSZNZk7eABlKkQXtn6G/bTAbJHjDz\n",
       "JXS4vXJVofQq224IbGABU6r9O768+JRt874f1mzyCJhVylh2AfleHfm21qWmeIR9fVAWmacImIXt\n",
       "pFWQ/fNWkIK+ti3CrC50/m25qmgsYblm0HkkdDCzG593LD9poq1aCJ9CXpariuazOm8BFTgN+God\n",
       "5yUETNk90t6LTt4Bk01AtgU5t2D32hKQPsAdIIMLXtGhQ++beFRzaCvbbghkuTyzqW3fziDvOD4P\n",
       "clQT7aVllW1X5KqiaUg4uMxxMiFBXEKdGSb5yfuAk+rMt9kMKts2lDQBcxTwBeDrwHeyEJEBO9j2\n",
       "MGAlSFGXGfuWbfOkd9l2Q2CYbbNYkh2AzqiaXXfXFnDVZwAaNJfkLaRJhD8l6p94VDaEk5Y4n7Zu\n",
       "/V2SRmefKuld5ffZuQfMB4Aj7O+snjZsNHfY9n9s+6vmmZaTQM5P+WP5CgFTWkCGVTw6W1IsycqW\n",
       "TVHSOIYBK8mm8wwAXiWfB7bOA9ksB7txDACeIp8A0gRkKsgZkR1hwByag5jQV8SVdaUZ5sIU+cb0\n",
       "kfaZrHTcV6j2F2UQqjWTfpn2oZ9NbPsZkDtBRmUhpnYqLUvIEehoKBokP53VY8YVuAT4LHCx6Uma\n",
       "3YQDkOgx5wLv2Lk9QJ5tkvZQQ0zAlG7Aczn99qxehqG/Wctqhvky0AaSNMiIWzqrh31t+5/AayB/\n",
       "BjlZb5nkhfQCJgLPAps2+HqbhBwCcn/ZvudBPm9fvkNHfzIEHYiZX5TNQfalOYS+eHhMej1LsiuI\n",
       "7yOhj4oG6IOB1+qw0wwGAS8RPwDor2//ygZ7S4o8CvIhe2tK9HMEyER924nsnMFSUcJbIDro2AXk\n",
       "IJBNQK4A+b4d9jmQNSBz7bippQ5d9yvgqrzJQwTkn7a91bZftjdQjLNy+qKN0r4duYZTy67pAOuI\n",
       "otu6dUVHhnuV7ulK946BWD4O8rZqbt+3ieoCkE1Ny3si6VuBfKHzutp3BckOV3qsX28ysiw9cr5c\n",
       "AfI3kOmRfWNBjk/WJT11li92j1n6gIyhw6qBnGx5vwgyKWbw9k+Q8+Ovp5LtamkSgCyu0BenZTiw\n",
       "SiqrhWZ/lG1/BXIcyEMgXwWZDPLBUhtvmq7dzO4JWo/SQ8tHbFYYfUOTXGT6Ajumm33/u6Xfot/b\n",
       "jz8e5BEQCxryoB3/cIKmJL3RQ1pBDoz4qbJ2JfeDLEf9XXjMMbQPmuQS0xJZDZTwX1bFaJJ3QJZU\n",
       "bj+yreX3w8i+0Ff1KeUvU8ynTETfgHVI5PhrS3rW6ydV/IMEIG1l/bps9U4Gg/QyDS+B3AhyXiR9\n",
       "ExB75kA+V6rrRCrqShHggheBHS2Pf1pGHwLORt90EuVtkO8C89E18THomvoQ9B7HUmAG+nRZK/A6\n",
       "OqEPviYAACAASURBVIJZAmyH3hN6A5gFjG7/DWp1Hoz8LcAI034+cD4acL4O2CuTZBqwP8jz6JJz\n",
       "K3AzOspaADyPjuBagcWmZyXQL4WmsRC8hgaeyZb/D4GjgF0o3VwfD3wOuBY4GvhjWT63R/6+E+Tn\n",
       "wI+Bx0znu8BfgPcD9yTrkgA4BPgXcLY6AH4PTAA5HX3S8zTLe4w2ev5A+4xG7gUOtMwOQZdmt0bL\n",
       "+XiQS4G1wHVmB7T83qyi6zI9hvnobO044ACQH6FtoTc6+h0FLEJH+ndYWawE9ge+jgbttei99rlo\n",
       "gHzL9O8PTAc5Cfg4EAn4sbxF+whVzrPzugHvgFyFvrDgUOA36Gh2hh27AP2pwYXAJPQe+ksgI4Cd\n",
       "0SXcw4Dn0BlZD7QvLAUOT9feA0HvSQXoSkoL2kb3Q1eA7oLgaXV+QeR+lrRAUPZUp4R59AOWAys6\n",
       "nhMek6hrGXAEBLNAjgZ+CeyJ1sd/AdGfOPwRfaPMG2h/G4D2h3fQctvEymWZamEF2gYWAmPROl8C\n",
       "zAEGVdF1f3ySzAAmg7yC9sPwmm8D9gbusu97azDlIDvvarSsJwM3og9hfQHYxo7fKUmQ5fEk2r6W\n",
       "oW+J6oH258loWzoA7VezNYixOcgDwG6mazfgXuDvwCC7lq0s78uAE8zQ6SDnVtcDaD+5B1gLcjk6\n",
       "mxwKPAJ8xo7ZGX1tZtinAH6ugwVA63km6keuAd4H8jG03x4FXACyCPiU6RoA9K7iH+6364X2FRWG\n",
       "A/8B8gu0X74OTImc9Bt0lW86yJFomR5s+V2G1jfASeiy8hzbtxh9gG8d8Nk4XWmibMwx0oYuxTyP\n",
       "OjRBnfdOaCNfayLmAXPRpb5xduwKNKAOpdQxXkQrajgaYF+F4JAY+6ZLgki+z6FO6k0IFsRoHoc6\n",
       "u95oo+2BvkapP7Al2jE3QzvnTNM1CG3AbXpNwcT4MomWl3TT74HYiOj/gF3Rm/ZXog70Y6iz7Wvf\n",
       "70AHI8tN53uAJ4GPop1kByB8m8oy27cXpYYXU1ayVrVzAzowWW5aF9u2FZgO/AANlNtb2ggrm3DJ\n",
       "8XLgg2hHijqH0OGEI9SwHFZB0Jqg65foTxKGAyPRdvKs2R1gmgegHWK65d8LdfA97e/ngX3QjvkW\n",
       "6nz6oYOAn6MDkplovVpH5vcQfCpB17FoED/e8vsTBLeZwzgO7WSPAf9AB0H7Ao+j9/pvtm1/K+9v\n",
       "AJsDT6Pt6m7Ugbxm1zccDVoLIRgWoylappWSegInogOGiWjdDULbzjgrpzDwLLVr64kGqD6mI0Dr\n",
       "cS3ty6v01O/BkISy6g1BwtOxshNarwuBY9G2PsbKaBHa9taYjiWmu9WO64EOtAegdRugdTtQ8wsG\n",
       "JujaFR0gj7bjtzId4WC4L/qauUfRegod+2PAHmj99LEyvRy4E/296YHoYPbzaOA4Hg34vYCrIbg2\n",
       "RlOo6167znCgsBU64F+EDtYD1Mnvgr4MYj+0LYWB+ud23GlWFlPtGjYFJqCD+7tRP/I62u6fgGD7\n",
       "+LIiAJmKvu1ngJVXOJkaAlyBDs5fs7LqbZoPNU3P299Po/94OfRzS60sA7veJ+y88egLW16BYEq8\n",
       "LjkHbQ9zTVcvtD08jPa5F+z62oBLgX9DMM9O/6iV7fFWns+gA7lVwC1WPqvQAeu2tl2L+nyBYHQl\n",
       "XZ0ImE0hzn6eupJsF1GXoMuwazR415V1d9R5LO6YhwRoI25BA98C1BnNRxtgAEHojNPqzYDwHmOw\n",
       "zGZM4RJVE3SFtymCND9yb0Dbkl6oQ5qPOtu7UGe7An0Qog0dtC5E62s2sE7rSdpQJ7wNOpBbCbRA\n",
       "EAarOjV1lvY6s7/pYbNl9w+VzfQCepUmDtItv34YrnRIj5g+UMQ6rNt+vb/paRQ13P9qGp28R5EZ\n",
       "RSyrJPuuqzbbRdTldVib7SLq8jqswb6/Gs9xHMdxUuAB03Ecx3FS4AHTcRzHcVLgAdNxHMdxUuAB\n",
       "03Ecx3FS4AHTcRzHcVLgAdNxHMdxUuAB03Ecx3FS4AHTcRzHcVLgAdNxHMdxUuAB03Ecx3FS4AHT\n",
       "cRzHcVLgAdNxHMdxUuAB03Ecx3FS4AHTcRzHcVLQo0r6dPL9v2TTE/bnpStOU5hWNF1eh/H24/YX\n",
       "rQ7DtKLp8jqsbDsprWi6vA7j7TuO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziOwzT00d68\n",
       "PtMKqCtOU1F15anJdXnb2th0xWkqqq48NXVFXYlIPSc1kDj7eepKsl1EXV6HtdkvYh1WS8uaIpZV\n",
       "kv0illW1tKwpYlkl2W+wLhGQk2o5odJOf9OP4ziO46TAA6bjOI6zMRB0NoMNMGDKYSBb5K3CcRzH\n",
       "KRQeMCvwT+CCvEUUD/keyIi8VTgbKtIG0pK3CsfJkg0xYEIDRhIbIF8FjstbxIaBtID0zltFwXgL\n",
       "+FPeIkrINiDuB5yGsqEGzIIg3UDeBhmUtxKjKDpqQHYA6Z63ijJuAB7IW0QJCUDel7OI/sCUnDVE\n",
       "eRo4IG8RzoZFTgFThoJcWbZvM5BN89GTGTsDI4BxOesI6Yrl+xiQdzAo52BgeN4iIvQH/lGAgVnR\n",
       "ZnRteQtwikD7gLvav7OsSl4zzB2B95ftexh4KgctWTLStqNyVVHiqLwF1IaEDbzTDT0DFuQtIEIY\n",
       "KLfJVUXxVqyKFsBrQH5pvx0ck7eSDYCeZdu6yauB28MBEr2APsDAPMRkyBDbjs5VReleTsHuu8kA\n",
       "kGcSDghnxIOboaZGVuQtIEJYPhNzVVG8ANU3bwGd4Ezb7pK9KRmavY1caS3b1k1eATOsoOiy1pLO\n",
       "Z9seGMo6rmzV+bzrIgyYk3KyH9ITfXNFv4I9CDEG2Kps4BRlk7JtAWhf3lmdq4yOhAFzQq4qihcw\n",
       "u+gAvEN/SLgvLI3y36eB9LJ74UWrw0YQBsouO8MMf96wdWTf67qRYfaIej3LhwNsGxlZShvwTE5P\n",
       "NQ4D7gK2z8F2lDZ0CXE1xZplhgOKuGWnYWXbIhBqLtL9sfG2zSlgtv/ueSuQsfloqMjI6ocUktD3\n",
       "XQDE/KZcugFrQSY3wN43geXAP4CH1VfKPiAHNyDvIlD0JVkZBHKLBatKjATeBQ6P7OsPLERnY8cA\n",
       "19ZhOAzEUQcb3j+0WYr8AGTnOvKuEQmAo4GfAbuC9MveZiy90Q6xkGKNusOZ444x6ZPQpc8cAqb0\n",
       "tXtINqOUgSAvosvEC4GE+pQB2TyAI71iEj4G/AJICFayZeP1AMh3gBfsyzOUlhLz5hLgUP1TWiP3\n",
       "w7sCfWx7BxBXb+Egs5EPxB2N9sVlwJ3AzSCHNjD/vAhnmJkPcut8Aa58ypzNB2LSLwO5AuQa+x6A\n",
       "LAf5J8iHQM7U85NezCs76lO1IjorBZB9QZ4CWRQ5dB87Zk/7LiC/L8uulh9cV3m5sgQakOXzIK/Z\n",
       "9ytA7i07dAzIkMrZ1EVSWZ0Hch/IsyAHxhz2bZCvNlBPGl3zQd4FeUAdmgSRANVidbUY5DGQ/Wx/\n",
       "b5C9IsdcV+c9mCRdQ0EuNPsC8meQP9jfJ4PcDPImSMxDNjIP5JGyfXHBLo2mUFdYlxaMpcUC+xKQ\n",
       "KSCrQM62cuwGsocdt62du0dZlmkdSFJZhZ/ZINvb3xfr9cpWtD/5Lida34ws+ckNIOUP/9VCkq5e\n",
       "pmUayAKQ2+nwFL4cGGlrJ5I4oJAhpA+4nXz5ugSm+y/oIG0VyA4VjvuhHff/7b13nB119f//nN3N\n",
       "Jtn0XiEJoSWEEpr00KUJiAoCUgVBBfXzAwU7H/3YsaDyEyliAQQUlaKAlCSC9BJaQoAQEiCNNEJ6\n",
       "O98/zpm9k82duXN3770zuznPx2Mz9857Zs5rzrucd5k7+cvm55dlW9D29rFIXorlzS0gt5bW3CYq\n",
       "9PJ1uRBkMEV/gib7F3wae76AjCxlP0UhkAlAF3RKrw86rH0M2AgcBHwauA94FfgY2vs+HZgBfATk\n",
       "BWABOprdC5iMTh39GbgE5ET06djlwHR0mnZr4LPAbxKERRukd9Ag2R/4AfAlkG+gvaQ/2TGnRSrM\n",
       "SJC9gTPRH1s/gwbdHsAE4EG7v4OB/wL7AbcBjSmWaTZGPn8GAgE5DVgDMityzEj9KJcBfwTWQbAI\n",
       "pBvqY5tWDmYXLieBXg+0QaQOgvUaRBJ1XYyO5k4GbgW5AHgLuAh4E6gHvmXXHQUsAx5Cf8d2k93/\n",
       "fsCjqN+fRX21FoLVII2mv9wO1i3Aj4BZwEx0FNwE8jI6OtiI5sezwCSQh4DDTOePgSOB3dD87gfM\n",
       "BjbYvV6JjlB3tXsIgEXojEO3Ev56r8X3s4Dn7PMfgKvM1m0gG4BfoHXkv6a3j36XM4A70XL/IMjF\n",
       "wLWmZTCwBp0mX1yG7y4GTkRHu+HvDG9G698s1J8/Al7Qe5cPzA7AvSD/QHvanYHjrSwMBy4E/ged\n",
       "Amy0+w2AniV89Tu0zi2FYCHIT9B69Rxgzw7IIcB5wDjgHJDtgAOB/dUP8ibwIfPd5ejSSoCOdp7X\n",
       "a9MLfeZhG3T2qSFZV7Aa5ErgUtvRG3gb5E/A08AvgTdAtjJfrAGZjbZBq9By8ib6gOIngSkaVHgc\n",
       "WIG2e68Bc4Bj0N/mvlO6fZBjgNHAu+hIcgladmago8mwA/F9CJZqp4jnrX3aGm0f5wHnm/8eMP9O\n",
       "Mh//xBr+D4ALgH8BPUr46iq0TANyNnAvBPPRmbin0d/4PoUuLz2DlrU1aFCZZ76ajy5XCNp+bETb\n",
       "/Hrz72K0zXtfPwdrta1L0iW7AO+g5XGJ7VyLntSAzjwNAvZAY8UI4HKQM+2+R6JlcDxaN0Zrh5Kb\n",
       "0PJwF9o+hEt5Y0He0/sorqtk7oK8iGZoP/t7CtjbhL+JBpxj0ML+MlrgHgPuAf6CPpAwFHXeQjSo\n",
       "PQ8caueeaLZuBH6FvtpuELATBK/EaBTtUdDVbOyJZtCL6FroScCt5iTQwnwSWogmooG+M5uvD4SZ\n",
       "vAGdCuwWSXsfbTyCBL8JyLeARyGY2CLpANMwxOzuSGGtdQVaMRdZ+jq0kWhEK283S19HYRq9znRs\n",
       "VD/E6hKQwyF4yCrf1cCxaIF7Cg183e1+h6F59BJwDloJ1qGdmehayUoK0xsrTN9CtHKAVhibBgmG\n",
       "xOsK98sotAH7naX1NhuPQvAuyPFmbw2ad+8A+6B5vR74MtrJ6YZWoi4UAlKYh6vtnhuARRD0S/DX\n",
       "mWiHTtRu8IElHW22PodWxL/Z38EUHrwR4JtovnzF7mUxcAdwitmvR8tiHboUsRLYAEGfGE2hri5o\n",
       "+TgarX8L0LyZFOlIbQ/8L/CG7udo4G60zl1utvqgebQOOAptiN9Cy8I082ET+tTtUgh2iPdVsf1S\n",
       "DzxhGteaf0AD6ZfQcvUIOpV7ObAVhQcAV9ufqE/objYaI7Y26r0Hg0vrkjq738VooPoKsAvauelj\n",
       "/rkY7fQfYVqnoG1LZ/PNtcDh9vl889VEtGwNR8v+KLQDu1+MJtMlrwKvoOWlG9qWYn56EO0cXl/o\n",
       "KMt2aIfsGDTIvmk++f8huN46BZ9Ay1WjnX8I2l6EQWYjBP1L+2qzpAbgMjRA7mN+OxIN7t3NZi+0\n",
       "0zAIbb/60PwrCOrZNM9mo+1/kx3bG4JO8bqa+5DrKQzuwrLRaNefj7aVc9j8RRUr0Lz5ALgCDZRd\n",
       "0HK/ns2f51ho99PJJG2mK0XAjB4TjnBksAqN9oqlOwQxT7pKA/q01ysmaGGLc+sgsJGZdNabCt7f\n",
       "3H6crrYgvVDH9kMboE5oT/hFG72Fa1U9ND1Yl2C7TF1SjxZmsfsejlakKWhj0cN0LTdd9WjhCANT\n",
       "JzQorNYedbV8JQHaeNSjDe4QtMA3og3+RrSRXWwnjEALaRcInqyerlKam4NIo/Vou9JciYNlbdcV\n",
       "XhdofmIxLMdg5b4RWB85bgCwAoKVkeP6oyOmuQm2q+yvoiZDH7aiHkontBOw0WZNNkKwKsGWtQHh\n",
       "1GewPv44ukKwonW6qk6S7TbokiZgVfGZCKlDR97ztXMnvWluE2QksAaCOTG2y22zgk01SCdrE6PH\n",
       "NFAYfAS2XRupj53QADsvoT2VyHVAOytr0ba63rYtZrWa6/kAmke6Yb0LtQM6gOuFdth6o23YBnT2\n",
       "ahLQB4KnY3QlUuH/xLNsKjS/XVHauEZRNfLoqyT7rqs823nU5XlYnu086vI8LMN+3t7M4TiO4zi5\n",
       "xAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TA\n",
       "A6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpKCh\n",
       "RPpksv1/ySYn7M9KV5ymMC1vujwP4+3H7c9bHoZpedPleVjcdlJa3nR5HsbbdxzHcRzHcRzHcRzH\n",
       "cRzHcRzHcRzHcRzHcRzHcRzHcRyHSeijvVn9TcqhrjhNedWVpSbX5WVrS9MVpymvurLU1B51JSKt\n",
       "OamCxNnPUleS7Tzq8jwsz34e87BUWrXJo6+S7OfRV6XSqk0efZVkX0By569WvulHxoD0aIsaJw3S\n",
       "oIVGgqyVOI7j1B4p9XKdXBET4UVArs7Ofi57aqXSWmOqu/m6Mc3BZe6vFa4rPVvQ6ER2A7mg9ecn\n",
       "2s+jr0qlVZs8+irJvo0wpVtN1Wxiv2IniYD8oS1q2mY/lwWvVFprTPU3X/dKc3CZ+2uF60pPirIl\n",
       "T1cg0JRLNQLmnRWYcmuneZgJefRVkv0wYParqZpN7G+Ov3w933SxbddMVeQKuQfkt1mryJA9gaOy\n",
       "FlEBNmQtwGkXdCl9SO3wgJlvPGBuzrHAvlmLyJh1WQuoAO0kYEoAMh3E28ps6Jy1gCheCPKNB8zi\n",
       "zM5aQNuR49vwQIMHzNrRGdger4OtRP6hz2K0mg4zwsx67rsIcgTIux3oqVIPmMVZnbWAtiG9gTuB\n",
       "HVp5gfUVFJMVNQyYIiA7tvLkJttm9fBJO0a2AU4ARrXhIh0mYOaR/YChQM+shVQID5ib0NwRWpup\n",
       "jLYzzratbYQ7wgiz1kF/aCvP69Zi66RntG0Ht+EaHjCryE627Si/EQ3n73NVaDIkbLQ6Zaqi7fS2\n",
       "bZqnnyM0r6O1l+nMJCxg1mw2qLVtXVjm2jKt2AZkEMgXWnHeYJBv6TYzwvI9pA3XaO9rmM2VNo/T\n",
       "nmHPvaONMJsSj2oTMrjQaMkAmy7MK2EFrKI/akJ4H+X6Omy8c9WItJJw/bbKeSn1LeyVS4kRZvhb\n",
       "6arxKeCqInaPAZmTcN65wP8C51VHVirCdnhEG66Rq8FCa3pdYSXP2RSFNKEZM4WOFzDLHImUxVzg\n",
       "0/Z5CjA5/lDZEeT8KmopRVj22vsUdXgft4MML+O8sFwn1D15DuSEVuqqJWGg7FM8Wf4H5K8VtNPa\n",
       "EWKRgCmfAZlkX/rbvmp1YjbG7N8bGAKyPUhkxkV+aIOaNbZjZWkT0gmkGm1mT2AZsF0brpGrznFr\n",
       "AuYg22Y51C/GccDLwELaVcCUTyc8sh42JgMix9e1/ulK6dSicoUN90cjdnZJuMA1wLWRXnut2QZ4\n",
       "n44TMKHZ3/KdFOeF5bpvwjHjgQ/HJ8vtIOPi02tG+IP0mIDJp4CPbborOhuSmjDQlbFMI/WRl4UU\n",
       "G2GeBEywz+F99C9TV2oxtglngba3/WEgnE7zmr70BC5D2+YBwCqSy0rIE8BjlRDbgp7A08CYNlwj\n",
       "jf6a0ZqAORBYwCYBUwKQAyKZ+m+Q/SugLwEZCrIHyFesl/5/wA/QHk07CZgyELiewuJ4S0agD3hE\n",
       "AibfB9618/uR6l2zchjIPmhn4v5IwhjgdeAYexmABdPoe4Jlb5AzQOaijcRM4PIYO9uAtGW9IgY5\n",
       "zHrwuwFPAsNJ97rAjJAuICcl5MsA1IfXAx+22ZEJMcdG6YU2gjGd1egapwRaB6Ue5OTIQZ9Af8ua\n",
       "NcOBRcRPSxd7sGsucFaZdooETOlf8IkEILM0QMreIL8GLgWW2sGhvv4gI0GOZNNfCISBcgBIW0ZS\n",
       "obZzrTxg649bW0Ify9/p9sRvsVmn8NiT0OWp6UA/kFIdzN2BYa3Ue5v9RGo3kLEtEvsDjwA7Feqr\n",
       "BCB7lmEgpiOyWbnOBQKy3hrlC9Qh8n2Qe0FW641LI8jRdsytOh0kAvITm1b5OMheViibrFB+FGQU\n",
       "uqDd1ZxYrBEo9dqk6N+t5sSvodNSXwDZFuTPIJfb6GoEyKEtLjXIKlDazkOJV19JV5D9tLfXciQm\n",
       "P9HgA+iL1c8y7cfbvm6qIzxPbgd5HOQGu7cGkAdpXjORg+38EWX66jNoB+d7INeDfDeS9irIFJBv\n",
       "29+aSNo4kGEgC0D+a2XgPpBLQS60sjLDKv2H9P7SvJJLzkSDbWeQa9nkIQcZb7ZfsO2u5pNPg4w2\n",
       "vxwc8dkdIKe3MFUscCX56xKQy9Cg18PK8d4g+4Ccb+XpOJBvan7Kz61M72d+fcC0Trdzv4PWmUtB\n",
       "PgLytmnexY57y/K0VNkK/xYX7kvG2PkXmz8E5FGQw+3zITS/XlG62udvmh+XoVN6kU6XvIgG2q4R\n",
       "3yX5KgDpbT47BOQgu6+DQX6ATuMfjJb9E9A25Eiz+YDmI6D15VyQbe37w3ZMJ7NRZ99/YOldSuja\n",
       "ys7b2877RST5MttXD7KdfT4W5A/2+UYKdex7IBts+5Cl/zOS/obtOxpkWoo8fAjEZunkCLQdHGpa\n",
       "hrBpexDN819angkapITm1wuKmE8/1uKcqwufU7UPR4AMROvuFWh574rWzT7oCP9g89nNdoyAPB+5\n",
       "Rph/24O8Z/n9DMhTaOw41Y7bXctZoq75ID+N7Aponl2Tw+w6fU3zeLRd+w7IUWhbeogd14uibUBz\n",
       "uaovkt6qdelije0StHG4psX+p0E2mvOWRva/GPm8scj1JFLo7kcr/xSQJ0o4cxeQndHF74siSXVo\n",
       "cH/JrrnUtAna+H8A8grIYpCVEQ1z0UD7DFqoXwN51vT/F+QudE0lbaO2wbYvoUHujkjaAtMhpmUO\n",
       "yCT7Pjty3NuW4SuK+GwihYL6XAlfHYs2HGPRij81ch0bbchuIDuYX3+K/uD4cbPfYh1BdkYr59Ug\n",
       "vwa5Be2YHIo+mfc4Wlmml9D1CsibES2rIr6ZZXkklg/3g3zGTj0F/b3tGvNRGFAftc/rLA8noq/S\n",
       "WwvyO9N5N8jNJXS9i5bD8Nph2Z0B8heQdyL7HzUbS638vAyyEORHduxdaPleZTqmWR6EFX8IGnCn\n",
       "pixb30EbkiV2n9E6tcw0RMvJ6iJlJ/o3w7Yz0c5SNO21FGUrLMehT2YXsTGLQh1fYL79LsiESB5H\n",
       "/96z7XK0od0YOX8eyF/1mqk7ic+bHx5Ag+FMCm1Z2C7MsHwL/Rjm7QI0WEV1zqO53kUDaOpOzwLz\n",
       "9dqYPJkM8onI93NB/l7kuEFF9r1Moe0YnkJXeF60zY6WqTUtrh+W4zfQmcQr0Y79m7Z/DVp/ltH8\n",
       "zmM5xXw+3a7xhNmbW0LXJDv+dbuvpWibfSWFcjYxct1oHn3AprqX2HFzQP4F8r8tjnsbbfMeVnvF\n",
       "dZVaDxA9RgIIpLAF/Uwj+vTZaGAqBNFHxccB03Sf7IJO/QXomkVPYCQww2yMBJajjx8vQhd6GyC4\n",
       "K0ajlNYudXZMWFjq0KcLe5q2WWarEZhvGoab7R7Am/Z5DfrwzQCgKwQ3JdgWkNHoOtsAu3YPdPqk\n",
       "N/AK+pOALujU5nLTdrgdu8HOW236noZgLcgepq8LMA94BzjAzvk3sB8EfyzPVxIA9YU8qxpxeSUg\n",
       "E1AfvKJa6I5OG/dHy8ly/Qvej7n0YPRH0a8CRwIfoPk2Bp3K7mPXfAudrlqHPkTRAMF18brC/VIH\n",
       "1BX3kTSo5mDN5mmtJqlcR3X1QpdGPkB/nrEULbtbAdPQct4ZXZ4Yi05l7oTWwffRdbdVdt0JaPlf\n",
       "bfumAjvbMY16jeCeGF2CrqktQNfUNkBgD6lId7teYG1AIzAIgrdbXKIJzaNt7R7r0XrZYJrGAYtN\n",
       "z3R06rC33lPwnwRdjXYfsyBYBLITsCu6Dj4bmIOuHz+CPux2kl13qvlqqvl4Efog3OGmaa1dYx46\n",
       "3TvF/P814FkIbozRFOrqh7aX+wEPqn/pY5rW2v3/Dvg4cAkEP4ucfpwd31nPDQR9JqEfWq4HmI96\n",
       "QLDEzumn959YD/8GwcdARqH1b7mljbZ73ojmbz+0fNVDsKrItUCXTnYClkAws0VaYNpsZoP5ECxN\n",
       "0LW73VODHdMdOBhYgS7NPAGcgubFbRCsszZhGbqWPxNte3dFy+JSu4+D0KWJq9G2o6vZ6GPXngPB\n",
       "CzG6EknqLdWChN5HZpToQWZGHn2VZN91lWc7j7o8D8uznVKX9Ae5inT/S1Fa8uirJPt51VX5kypI\n",
       "Hp3pjVp5uK70eNkqjzzq8jwsj3alq6O96cdxHMdxqoIHTMdxHMdJgQdMx3Ecx0mBB0zHcRzHSYEH\n",
       "TMdxHMdJgQdMx3Ecx0mBB0zHcRzHSYEHTMdxHMdJgQdMx3Ecx0mBB0zHcRzHSYEHTMdxHMdJgQdM\n",
       "x3Ecx0mBB0zHcRzHSYEHTMdxHMdJQUOJ9Mlk+9+sTE7Yn5WuOE1hWt50eR7G24/bn7c8DNPypsvz\n",
       "sLjtpLS86fI8jLfvOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOA6T0Ed7s/qblENdcZry\n",
       "qitLTa7Ly9aWpitOU151ZampPepKRFpzUgWJs5+lriTbedTleVie/TzmYam0apNHXyXZz6OvSqVV\n",
       "mzz6Ksl+LnX5m34cx2kjMh5kRNYqHCdrchnlE/bXAu9BlofrSk87LVsiIFNqpmYz+6n314J2moeZ\n",
       "0a50+QjTyRkyWhtgp51Rn7WALQsf0WeBB0wnb2ydtQCnVXgnp7a8BeJ1pcbUKGDKQJCgNrY2s93J\n",
       "poxy2AOWXiD7ZK3CKQcJQHbPWoWzJdPclnbPVMYWSK1GmPOBi2tkqyVDbNs7I/tJ/BZ4PGsRm28r\n",
       "cQAAHtRJREFUxZG+GRm2MpnHDg4AY4FnsxbhbNF0tq0HzBpTyynZg2poK8ow22YVAJLYI2sBxZFt\n",
       "gEUgw0oeWnmaWmzzRo+sBeQUn5KtHd1sm8dBQIemBgFTQhvrqm+rKENt2y8j+0nktcCfYdshiUdV\n",
       "h7AxyGvv2QKmlPq/ZB2nWoR1pFemKrZAajHC7GPbrjWwVYwwKOVxhJnXgDnKtgMysN2txTZvhB2v\n",
       "vOrLCh9h1o6w7PVJPMqpOLUImANtm1VvKLQ7MPGomiN1QAOwPmslRegPLCUbn+V9hDnItjkKmLI7\n",
       "SBadm3aKdI58bo9+C8teheunXALy68pes5rIriBdammxFgGzP7Ca7AJmT9sOzsh+HP2BxUBdDh9w\n",
       "6Q+8RGE6u5b0abEFZGhG66mAPApyaGTH9rbNIGDKP2ISngUWgHy4lmqU5ic2N9TedrnIkSDHAavt\n",
       "7UT3oX7bKmtlZRJ2JivYpkkTcCXw+Rb7fwWyXeXsVJQpwBdrabBWAfMNspt+7Am8S/4C5lDgHWAh\n",
       "+dM2EHiawtRsLQl/kB3tPT+P6qkx0h/YHzg4snNX22Yxwjxh813SCKyyL/eB1PpBsrDxztGIuxgy\n",
       "CLgf+KXteA4IOxjbZiIpERlu5a8YYXsxKCa9XFvDgBX2JVLP5FjgIuBrlbFTSWS8fahQuZPeaX76\n",
       "WIuAeTDaA+6VUU9uJ+AF4IvqlNywLTALHckdXPwQ6Vf7h0tkX/Sx9YeAhJ6lNFZJwAjgdWBIpAAP\n",
       "pLnDJXXV7/HKp0GuB96zHUNBPgRyADAO7dl2t99kjq2uls20CchTWi7kVGAN+nzADXbAM6q9Zr97\n",
       "7msaEp4RkBtBPtli3y7VFGU26iN++DIaFEYBR7Q48JjqaykHaQLeBv4Uc8BIYCJaFivBg5HP24CM\n",
       "Mr99DPgxcDbIx0B66F9UpxxWIQ1FkEdAbgc5WH9P37x/LNrhAfgmyM0ghxQ5vxeIPbgo/ePrhHQG\n",
       "lgCXgowrfq2UiiNPuWINRGCV9RyQ/UFOBnkN5BpraPaxNZV9QB60Cn4wyFUgt1gQ6KwvM2i+7o76\n",
       "t4npQcQ/SCBm41SQvUC+bY3Ed3TKRfa2TP+92T8C5FaQ+0HO1kyWPUHOA9kJ5LTkBkai62kp3hUp\n",
       "u4FMBOlm/uph2852/38HWYeuGXwUZAnIQXbMIQWfy0aQ2xLsFbGdtF/6qn0o5CWADLa8/L356wTT\n",
       "KSA7F7lkX0uLTJNKYBW9DF1yieXHZ61An23Xvcq2s0COts/z7bTT7LsFbDnRfDc2oiPNukaSrujf\n",
       "3BbfrzB93wU51/ZFXlMmDSA2CpUh6JTWYJCeRUyNBXlY9UqQoCnUdUULLeHfdLMb3fengo42k+Sr\n",
       "70VsRpYWZJ9I+RIQ++2qdDa/CM0daBlRKDvh73+j9VE6b1peU+kK/9aA3EOhHfqkXeswkBkgI0He\n",
       "BpkJ8v+BjLZLdELbkDqQrkVsx9GGd8lKE8h2IL8xvU+C/BbkALRdOBfkDEu7EOR10zzStJ5v5aA7\n",
       "yBw2aWNL+uomsx313XsgO5t/ovvvArkTZIF9vwHkWLTtPQptfwegSykHWDmv0/yWzmza2U5bDwXk\n",
       "FbSdv8lsBi3SF6Bt60y07Qj3/zmi8waQeSAv2nHzLe1lkMUgK/V7cV2lCoHYeR8AT6C9/9Fs+t7I\n",
       "VWz6BOxqYDk6FTsR+C4EE9EG42/AXugwuh74CbALhamR36A/P1kBnAfBgBiN0uJ+VqNrKO+jo4Kh\n",
       "6NOMq83+D61C/gk4CZgO7BA5/31gGjoanYX27jqhvY7OwPHATUAdBKfFaAp1TQPGRPatsPudy6Y/\n",
       "0/gF8FUIVoP8ELgskjbL/LBt5Nh5wFrgLOCf6PrnqcDDeu3gZwm+egMdBewEbESnOEfYNQIKI8ln\n",
       "gBcgOM9OvQU4GpgKbGPHfoDm9zDgMeA/du3D0enLb6I/vRBgKQQ/SNDVct964DPAnagPH4mcux4d\n",
       "eXZDX5/3sOnYN3L+O8AcYG+0ZzwE9f8yNI972DFDIPh6gq7foVNTN9u9DQF2BBohuBvt3E2LnDPd\n",
       "/DDKjj8WWISW8XBWYwWap38HhqM+b7DPjwO9IBgbo8l0EWgjxCl2/ecgeDlySCNa9vsD/wMcp5p5\n",
       "zXw1HS3TSyK230Lz9B10+WIUOiOzHq0DfSH4vwRfAVyL5tubpms9mi/3me6j7fi1pmcq+gKI++z4\n",
       "09F2ZI356xFgP+CPaLnb3/TONb136TnBuARd/0F/+/0Xu+6fIPh3Uc8i44AfoPl1NPBvYDxaXjrZ\n",
       "/hfRdmEVusQ02Pa/b5o3AvMh+HKMplDXTD2OXmhb+jJarkej6+PvA1sBP0Prej+a854V5rtLgUfR\n",
       "kfHdaHvb3e5zMbrMs7NpfQAYCsGeCb46EIJH7esQtBzsByyD4A5rO++w+90drReLgfPt7xzTMg3Y\n",
       "067bMi4so/A8CebPERD0StC1PzoL2gktAwOAT6Dl6EQIpmgg5hTTMx5tHz6PlscV5ttTgdnmzym2\n",
       "XQlcjZal98xnZ9r9fUXb5c11pQmYJ5ujlpvwl9Hpl5d0f/CBHTrCRAGBgPSC4P0ilxyIVsrlwKdM\n",
       "7NNqiz3RgjRcbyZ4PkajgHSBYE2M7KCgY5P9jXr94D1zdD0aEJuACcAraADvjgbgDWZ/Ojr90QDB\n",
       "b2I0hbr2R/00FW0gB6CN+Di71yVoIGmpbaQdMw2tMF3Qqewfq10Wmm8eN411pqOvXjO4MMFXp6EV\n",
       "8q9ooKxDK+1wCoXlXQhWFjl9O7Rxe5tCg7fOfHI2Gky6oo3k22iQX4IG1JUQXJqgqzdasYaavpcg\n",
       "WBA5JLB7H43mxWC0QkxFG7Z39Bw+gk7RrEMbnRXmywVo3vZEG54ldq1ZEHwjXlfJeoH2lFlv1z8c\n",
       "7YCtNV/MMW1voY38tmZ3JJp3zwNP2rlvoo3Bagj+kmA7pa5NTqlDO6g90QZ9ENq4N6H+nIc2rF3R\n",
       "4LAUbXRHor5ca7oujrFtMxDBy+gU69l27WXoNPq7wAy0MRsG/MPsHo3WtcMs7VW0/i0D/gUciNbN\n",
       "Xmj5moGW2eFo3VgNTIHgqnhd5fqq+dStgEPRdu55tJPZCfVdD7uPYaZprd3nKrSc9k7oiJku2d/O\n",
       "CVD/d7N7XKT2grl2aKQNk0DvP4h5sEqa0PI3FTjE9D6DDg5Woh3qe2N0tcFXcUg3NI+G23YF2k69\n",
       "i3bm1qD1YCYEs2unqyxaZb/EFELVSTHNWHPaMOVSVfLoqyT7rqs823nU5XlYnu086vI8LMO+/28l\n",
       "juM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO\n",
       "4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7jOI6TAg+YjuM4jpMCD5iO4ziOkwIPmI7j\n",
       "OI6TgoYS6ZPJ9v8lm5ywPytdcZrCtLzp8jyMtx+3P295GKblTZfnYXHbSWl50+V5GG/fcRzHcRzH\n",
       "cRzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRwmoY/2ZvU3KYe64jTlVVeWmlyXl60tTVecprzqylJT\n",
       "e9SViLTmpAoSZz9LXUm286jL87A8+3nMw1Jp1SaPvkqyn0dflUqrNnn0VZL9XOrKyZt+pA5k56xV\n",
       "OI7jbLnIwKwVtHdqFOXlOJBitvLY+/AeZHm4rvS0w7IlT4H8oqZqNrFf1v5akFEeytdB6lth2/bL\n",
       "NjFtcLXJYx622n6tAubJHjDbTB59lWQ/rKgByEE1U7OZ/dT7a0EOypYM0zxJZVu03sqr1VYVb7+s\n",
       "/bUgq4ApIP1bYTush+M9YJa2n5MpWVpWUGfLYUf8vY154h3g42We4/U3UyRsx0u9GzyJtpy7xZCX\n",
       "gOlsuWzUjXTOVoYTodznCbwdyZaw7nRtwzUadSOelwnkxTkdsIcqJ4N0ylpFZZGgCvfUxbYDKnxd\n",
       "p/UMyVqAUxZdWmxbQ5NtG9uopUPjAbN63Absn7WICvNpYG2FrxlW1HbyhJ70BHklaxVVptzpuY5Y\n",
       "f9sTYaBsywizm219pieBvARM09HhpgM62AiTHatwzbCS967CtavBMGBskQdjOhJJT1sWoyP7oj1Q\n",
       "iSlZD5gpqFGAkkaQCxMOCDOpQtMBEmTboDWvx+2X74ZVfgXSr4wTNpa43kUgc8sUEVby7mWelxVh\n",
       "p6G9BPgyaP5ZQrn1MMdlfItgCxthyskgmSwb1GpEtwfwm4T0zi22bWUR8NXyTpGhFXx5Qg/bXgGM\n",
       "q9A1q8FFQDk/6SgRMDkQGFymhnBKtlviUblABgB/sy+nZKmkSoQNbrl50Y4CpgQlfn6RU+ROXQ4o\n",
       "SpGAWfagoZdt20HA5Dbg61kYrlXAtDWR2CnXSgfMPsAuZZ5zC/Bihez3inzO+wMU5Uwbl/pt1IZW\n",
       "2G9PI8wPRT4ndQDbK2Hnpdy8aE9LD58A3gN5pv08lCcBcDwwOuaAsN2MPvRzCeU9bxDONOU8YMrJ\n",
       "9uHzWSzh1cpgGEB6xKSHGV2BzJKR9qHUaCh6TgAMtc97tl0DPdHgeyswwq47DuT2Em/jqCHSmtGE\n",
       "9Vgl7qGQ9a0QkiJgytCcTG1/PvJ5UlYiqkhrOy/tYHYAQI4GxtqXPYDPgWzXDn7SFE7/x+VL2H5G\n",
       "82Evynt4q69tc+wLqQduiOyo+SxPrQJm2HvpU9i1yZRB2LOtRGadhv4Q/kSQPkVsAbILSLRwnQms\n",
       "BP4E7FsBDZcAc9FG9XDbdyHau92mAtcvEwlAeoBEe6BhXgxKOE/0zS/NhBV2YOG6Rc8rZw0s1BHT\n",
       "GMjOwLvAeJDDQQ4BOQxkQhk2Wols12LHOOAE4Ivkf+agNYQd2nLWZ98HusV3BGU7kAzWe6XOXvf2\n",
       "CsgXQD4H/Av4FvB/dtAvgNeA1VbWM6ibqQjraNxPr8J2M/qkeblvysnhCFMC9LWpPwbZCbgHbSe6\n",
       "Az8DbgH5Gsgx2ZSxzSnD6WEvTRo3n2uXy61AjteRjTSA/BnkAZ0WkT8U0lPZj9kvw0FmgBwB8piN\n",
       "6P5o1xaQm0F+G/n+MsgvQBaA7ApyAcgtIIPt+6AWQaaUTwRkul37uyB9QVaDPGT7NoJcB9IEcjxI\n",
       "L5DuFRo9Jb2+7LXIPe8FskPED9faYXV2v1+yzz0t/QgruL1A7rZ9h1q+iXZKpF7zXx62fduq3+TZ\n",
       "ZF0AciPIbJAfRpIGWwXB9AjIaZF7sL/m41szak/y19ciZTLsHBxr3xusDK8CuQdk61bYLldTJE1G\n",
       "guyWcFi9lqnY9ITz5XiQB+0+e1m+D0jQJSAvgrxuvhhl5WEiyAl2iKDrb8NirtEWknTN37y8NP8N\n",
       "VR/ICy32Pw8yvEqaImnye5D7Eg4bDbKVfW4EOcr02YOT0rBpmyHnWHrknb5ya6GOyKAEXQJyAMh7\n",
       "VqZ/DbJM66PcEin/PUDOt89dtNzLqSAfTrjfNCTpOqtF/vwRZIwl14E80iL9RZDd2bzNrpiuUg21\n",
       "gLwJvI72PP6O9j6HAv2BN9D1C0FHVT8CjkHfFPIkOhW7Gp2iHAkst88t2Qh8gD6d1xWYDTwEwTkx\n",
       "GkULEsOAWRCE359Bpyd2BcYD/21x3hrgh+iDG2egI4Y+wAUQvIA+efUaOrUR2l0IvGXHTodg1xhN\n",
       "oS7QHuy3TNfOwO52T18HDity3gxghfnhJeAaYAd0tLsCeBj1467otOfddl5fdN1wLgRzEny1ArgX\n",
       "XYPbKpL2feBrwP3o+si2kbTXge2Am4FTKcxG3Gn3MBH4SAtb69EyMQfNx31NUpyurwPfA34PnA1c\n",
       "DowBJqDl5Sp0xmAWUGyq/F9oedwPuBoto++YvleAx9B8OxD1/Ub76wTBQwm6ot8no+XmSLURXGSH\n",
       "XQucb2lvA1OBZ9F6sT068roX7Q0PBnZCe8Vvo3WgB7AMLVt1wDoIVsRoCnU9i04lAnwFLZuD7L47\n",
       "oQ+7nYGW/VuB4cB76OzJfLNpjR6fN799xHxyDXCWnfcltBxOBT5ZIg/7ouXmqcj+l9CliBmmJWS2\n",
       "+pDT0HJ1n2noa1rXAf9Gy840YB7wBbu/Z+y4Z9AnlRdBcH+CLtByeJZpmQjBmy0Oa9L7436z9Wt0\n",
       "JugOtJ7MsnvoArxqfpqP5uFgYKnt64WW/fUQTI7RFOr6IlquAa7U+2BbtJz+1653qaVfC3zGPq9G\n",
       "Z1qeBU5Gy/YU4HOmbQnaLt8GfDmi4UbVH5xawlcAvwUuaJH+CtqunwwcZz46j03XS18HZprGicBi\n",
       "tB04Hs27B9D11B7oKPkDO34vCH6ZoGs+urR1A3AEcCEEkWUfqUP99oLtWEBhlP0wMB0tU6vRMrUQ\n",
       "nfmbi/qys9nui+b3QrQcrITg2WK60gTMbwCj0Izdzi64CK3oYeBsQjNvbwoN5l5o47USDYQPoIX3\n",
       "abSwjTGBAdrorwQ+i1aQU9VGcF6MRgGZZteYAvwTONrsnQSBPXwivdAGa44GrzRIHerApWjDNgBt\n",
       "AJuAHhBcF6Mp1DXMglfctfcFjgK+Afwc9cu+qI9HopWvK5r5j6AV8TCzuSNagbdGC2yD6ayHYECM\n",
       "Ltl0vxwIPAHBOuuJfdzSt0Y7CjeghfA8tOE7CW1AHrZrTUWf/u2L5v/uwKfQgLYUzd8DTf9aCG6I\n",
       "1yUzgT+ggfur6INay9HyMB1db/ob2rAOMHvd0enQHmiedEYbmYFo4zsPDaJhx2uNpXVHA1MnYAUE\n",
       "ExJ0PYx2AF8HzkE7VTMguCVyWGDX2xUN8EeZvXlog3EIhfxZjVbcCejU1wd2j01oXdio1wrqYjSF\n",
       "ur6PNpQHUOi4vgOsMr8NQevUSjQYr0ID6nK0vDTZ5/mmd6HtW2p6nkHzeR3amM8DtoHg9HhfNa9r\n",
       "727nzTC7oyl08CagHYiNaB49aWlj0XycijagAVoHsPOHAY9S6FALhTaoAYKD43VJXfo633xaHdpu\n",
       "jUf9u8D0rDKtjWi5H2xpPVQHy9Cy0BmCvWM0hbruBp5Ay8gwtGyuRAPDGPs82+ytQxv2DWiH5DS0\n",
       "HiwCDkXryzS0w3kz8G3TvRvqp8to7nAGx8foEpDr0Hp7k94DfdF8Czssx9u934uWo+nAQ2hdmosG\n",
       "7a5oZ+1Zs70DcJ1en73sHjZE/La93lNwRoKurSB4J8aX0UP7AU0QvI0utY2x+96AtqfvmY3OaGAc\n",
       "bn+L0UC+GO1wdEPrSyMEu8XoSlZS7gkVJmm4PhnkBApTrWdTm6emUky5VM10sOnnTe63zOnrSlFy\n",
       "OjkjXSXJiS7pZNNLDSVsZ+kvL1vp8Twsj/amq/InVZAUzpRdUlSsSuIVojxcV3q8bJVHHnV5HpZH\n",
       "e9NV+ZMqSB6d6RWiPFxXerxslUcedXkelke70tXR3t3qOI7jOFXBA6bjOI7jpMADpuM4juOkwAOm\n",
       "4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bj\n",
       "OI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpKChRPpksv1vViYn7M9KV5ymMC1vujwP4+3H7c9b\n",
       "HoZpedPleVjcdlJa3nR5HsbbdxzHcRzHcRzHcRzHcRzHcRzHcRzHcRzHcRynozMJfVIpq79JOdQV\n",
       "pymvurLU5Lo6dtlynGoxiXy2D4lIa06qIHH2s9SVZDuPujwPy7OfxzwslVZtss4rZ8sj6zJX1L6/\n",
       "uMBxHMdxUuABc4tE9gLJugfXCuQfILdnrcJxHKcYWTeqPm2WnjJ8JafXMGBWMA9FQNa0SU1p+3nM\n",
       "w1Jp1SbrdsDZ8si6zPmUbG2QPUDGZq2iBEHWAtrAhmzNS+9s7Vca+SHIkKxVOE5HIEWUl1NArqux\n",
       "/bz2tsVGQQtrpmYT22n3yxnteIS5vE1qSttP0CVbV9lvGYwwRUBOLXVQdWw7TixZl7mqjTA/C5xX\n",
       "get0JNZnLaAEPsJsHQN0Ix1kZka624clmcpwnHZCB6n4uSPjacOStOeAuTFD2/1t2ytDDZVksG27\n",
       "ZKrCcdoJHjCrQ95HmPbfurXLkVKWnZFBtu0o65jhCLNbpiocp53QHhvM9kDeA2bnFtv2RJYBMxxh\n",
       "9slQQyUJA2ZTpiocpyLIAJCp1bRQiYCZ9eJshZH9I2s7rSXvU55dbdseA2aWU7J9WmzbOx4wnQ6C\n",
       "BMAZwBj7XOyY0SCvtcVKioAp3UtM3Zm4OJHtAekC0sm+PAp8q40XnN/G86tNGDDb49rVqvgk+RjI\n",
       "gVW0HQbKflW0UUu6tdg6TntlF+Cn9jluwLMLsF1bjKQZYU4D/pmQHorrUdglPwAZ03pZNed54HGQ\n",
       "UfZ9hzZc6w3y/9BPuAbXjkaYzR2ylQkH/RX4QxVF9AFWUJiabe/4GqbTAZCFwHcjOwbGHNhox7f6\n",
       "GYQ0AXM9cBRIXOPat8UW4HL05yaA9Nffr+UVGYc2gHsAb9rOvvHHl+QZYGeQEW1VVkXCH6pHGkr5\n",
       "OsjF9rk3yAk1V5VMOG3YUOK4ak7Z9gFeJ3aEKfUgu1fRfplIAHI2SNyIuDvauRsUk+44OUfq0Pr4\n",
       "EeD7tjOu7Q3LeWRAJB8FObpiakBetx83HwLSE+SzII+BfAmkAeR9kJn6hpvm0wTkJvv8aPKPvWUM\n",
       "yE7x9sva3/Kw7iDHgVwG8gjIIJBvmN47QBaBbLR76aQvYBABWQlyEchZdv7pIOeBNJWwLXbejSBz\n",
       "bNdWIEdY4zUQ5EyQwfYj+HA6uxLBtZwXFzwMsh7k2Mi+8KULu4FcsXmeyedBJkS+p52Cb0MeSmPk\n",
       "83CQpZY3cWsUsvkahXxCA1k5ulouQUgjyI4gq0F+BfLbSNoITQOQo0xDdLZlCOnfpFPGiwvS+F92\n",
       "ND2XxqRfDTIRZFLCNQaX0OU41SBS5mQUSMzykXzNyvh7Vk9/CPKbzeuH9AR5wo69JLJfCm2dBBRG\n",
       "n0XLfKlKJ3beFGA32/ccsBg4PHLcg8BqYA2wgObRJTcC59jnkcCewL+Be4AvoiOciZa+Fzp6aDRb\n",
       "j0PwfIxGAXkR7SksRKfJZgMHAS8By4B1wJF2/Lvob87ChvMe4DjgIeDTEMxqcfkTgY8DO6Ijz3WA\n",
       "rXEGzf/E6GpCe+3LgOnA9uha4Sw27/n8A1ikGrgeuNeOXQGsNd2BfV5oaX1NzyqzsxoYAsGUBF/9\n",
       "HDgKGGPndTUfvGvX3Rc4tMi5ZwPnotOgR9m5P0V9eTq61rsE2AbYCf0/5Kaheb0A6A/BtQm6eqt2\n",
       "7gf+hpazlaZzV+Ak4Dp05L8tuv4wBrhUr01/1M8PAfsDP4/oWY/2PN8CJkDwH5DjgdchmKb2Y3UB\n",
       "PIlOXU8ELrS024GvomXsMUvf09J+ivZyt7dzDgQuAq4xTQeZ/8bZ+X3QGZ4mtAy8DcHSGE2hrt/r\n",
       "ceyv98QVlvYE8GPz3/1ouf8EWm46oXXjTOAYNM+3B0ajdfhQ07u/HbsHMAy403z7Voky7zjVwOqn\n",
       "jKcQc84ERgHDgRfRMvxV9MU5f4ZAQHYBXgD+iI4o56L14qPAUnTJ5gq0bTsUuNLsnQNcgtbPCyG4\n",
       "hiJlPk3APAl9iGUo0BO4CYK1ICejc8Uz0Eb3KbRBWQT8C9garZhfRBuvemAOWhmLsQ5tLCM/Co+t\n",
       "qALyI2Cq6RplNl5GG5QNwCHATOBZtIFajTpoPgQv6ygiSDF9J9ugDV4ftRM8GKPJdDU/BHUQ6q//\n",
       "oIHyALSzsAH4Npqph6AB5kngRNQ326OZvM7urYd97oEG0pVox6KOwhrUUghGJPjql2gn5FXgLmAy\n",
       "Gqh+gTamc207wrQcYPs+CryCNpxdgLEU3grTB83jt9GOzw6mbxEaGIYDTRAMTtAFmi/zzfZzdm9L\n",
       "7N7uRjsIdebLK9Ag+nm0YxWWpfV23vVoAAs7d5imzsB7FKai50AwNEHXBcB40zHM/PUwBG/ZIUei\n",
       "HYYm89dCNK862z0cjVbwUeaLUfbXA+049QeW2/kj1CYbIGiI0RTq+oPd53gKZaHefNEZeMSu1wV4\n",
       "H/gzWs5+hebpNGBvu94y9WNwE8hPgM8B89D82ytidwEEAxN0OU41CF+DKWjAW4MGyJnoMydj0Dbh\n",
       "duDXGiybTx0GfBktz4PQOvwS8BO0Lb0SHTA9b/t2RTuYT6HxpzcEZ9CKMl/GVEzsNFk4FdkLpKsO\n",
       "jcG+N4B0s882+pM6/SxBgv0cv0s2M/LoqyT7YvlcbLq0rSYb0Sn2cJG/Bzo13k1HtbJVsq5aI4HW\n",
       "hVqULelaejpX9gLZ2aaxGitn23FSIxYXGksfWi37NTqpguSoUUtlO4+6PA/Ls5/HPCyVVm2yzitn\n",
       "yyPrMle1l687juM4TofHA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm\n",
       "4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bjOI7jpMADpuM4juOkwAOm4ziO46TAA6bj\n",
       "OI7jpMADpuM4juOkoKFE+mSy/X/JJifsz0pXnKYwLW+6PA/j7cftz1sehml51OU41SCv7YPjOI7j\n",
       "OI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jOI7jdDD+HybKMUyxGNZOAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa74d390310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Datasets:\n",
      "  D : (128, 96)             , float32\n",
      "  X : (5, 100, 149, 2, 96)  , float32\n",
      "  Z : (5, 100, 149, 2, 128) , float32\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Overall time: 2684 seconds\n",
      "\n",
      " -------------------- Classification, diag = True -------------------- \n",
      "\n",
      "Software versions:\n",
      "  numpy: 1.8.2\n",
      "  sklearn: 0.14.1\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Datasets:\n",
      "  D : (128, 96)               , float32\n",
      "  X : (5, 100, 149, 2, 96)    , float32\n",
      "  Z : (5, 100, 149, 2, 128)   , float32\n",
      "Full dataset:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 149, 2, 128)\n",
      "<class 'h5py._hl.dataset.Dataset'>\n",
      "Reduced dataset:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 149, 2, 128)\n",
      "<type 'numpy.ndarray'>\n",
      "Flattened frames:\n",
      "  size: N=149,000 x n=128 -> 19,072,000 floats\n",
      "  dim: 38,144 features per clip\n",
      "  shape: (5, 100, 298, 128)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=128 -> 17,280,000 floats\n",
      "  dim: 34,560 features per clip\n",
      "  shape: (5, 100, 6, 45, 128)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=128 -> 17,280,000 floats\n",
      "  dim: 34,560 features per clip\n",
      "  shape: (5, 100, 6, 45, 128)\n",
      "Feature vectors:\n",
      "  size: N=6,000 x n=128 -> 768,000 floats\n",
      "  dim: 1,536 features per clip\n",
      "  shape: (5, 100, 6, 2, 128)\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAFCCAYAAAB8Ye0uAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXe4JEW5/z+zJ4c9G8/mcGBZlrSsRMksSBYFE6gYQH8o\n",
       "YgT1mnMOXL169ZrjVQzXhIGrXHUlGEBJIkiSnGGB3WV32YWt3x9v1emanu6e7jnTPT1z3s/zzNMT\n",
       "erqrq996v/W+Vd0NiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqJ4fA24D/h7\n",
       "6PtPANcBVwE/BqbF/P8TwDXAxxrY9yrg2Ab+VySHAvu3uhAJnAp8ttWFCLEA+GGTtrUaeBS4wr7e\n",
       "2aTtNpsxatvQRPgysJN9//YG9nMq8ABBvb3M++2lwA329RLv++8g7f1D3nfvBE5IX+ymMEZz61JR\n",
       "msbBwB7UGuiRwBT7/qP2FcUjQKXBfZ9KdmdfmcD+GuG9wBsz/qcrh3LE8VLKJZjdTd7eauC8Jm8z\n",
       "D8bIz8mvb2A/LwU+E/H9TOBmYLp9ufe7IyIN8BtgKjCf4uu+GxXMljOl/iqTlouAhyO+vwDYZt//\n",
       "BVgUsc55wDBwOXASMAr8D3CpfR1g19sX+KNd7xJgR6AXeD9wMtIDPolacboGWII0oOuBbyINaTHw\n",
       "ZruPq+z/wrwS+Lj3+VQCYXmRPaYrgC8Q2McxwN+AK+3xL7XbOcuue6Aty+/sfv/PlgXgG3Zbf7b7\n",
       "PZSgd3+5racwceX4PHCZPX7/2PZB6u9Kux+3zQXA+UjEEBfp+//9CzAE9ANfB662ZVxt1/0TsIv3\n",
       "3zXAnvY/X7P/vxx4pv39VMQWfktQb9d4v/04pnwvR87rXxBnHSf89TpIXUj9/90eyxvs98vsfv8K\n",
       "XAissN/PBX6C1MWVwH72+7PtNv4OvN5+N4ZkWr5kj+nXSL0B7IXYwZXAmV55diU4r1cBO4TK+zzg\n",
       "HPv+9YhoAWwPXGzfr7Hb/ygwYLf1bcDY440qj09cx/JoRBAfsa8LELvfYvczBehB2v77gXdHbMOR\n",
       "l/0Y779jyLn7m325bM9q+/0vgH8C/xVzvIrSdMZI7tH9HHhhzG9+7/e7iKiACN219v1UgqjrCERU\n",
       "obYX/B6qBfPvBIL5JCK8AEcBX7Tvp9jyHRwq12zgRu/zrxAB3xlpnK48nwdejIj97YizB+l1uzKd\n",
       "7W3n53Z9gNMQxwvisM8jaLTnETTuQWqjzrhyAMywyy7g98BKpINxM+JEQcSyC3E2NyN13AfcCiwM\n",
       "7Svuv28EvmK/WwHcZrfxBgKhno84JIAPA6fY99MRsRu0ZbiDoM7GCOwprnwLgFvsf7oR5xcVER0K\n",
       "PIQIz6+odsSOvRARcIzY5W8JxOqp9jPA94HX2fcVu/5eiOMfQBz7NcBT7LFsRSIw919XB1cDB9n3\n",
       "H7efQYTftZduagVtLtLZA2kLf0Hq46UE6dDfIyIDtRFmXHl8Xgrcbcv0Q4IO7xuBd3jrvZOgzX0K\n",
       "EeazkGP/CskUYT8DdpsAy5GOJIhgbrLrTkHO/3PqlFdJSbPTRJOJdyC9z++mWPcIRAgcU5EGMR34\n",
       "FuK8DMH5yJJevY3AyRxlX1fYz0N22xd56z8I/AtxlDch40F/BF6DOMe/2vX6gXvtehfa/YD0vh1+\n",
       "GfcDTrTv/5sgijWIY3K940sQB/QdJMK6K3Q8TwuVY8CWAyTqPh2pp/kEInEP0ssG2ODt97cETvVa\n",
       "xIn4+1sR898DCUTqeuTYlwM/QBzQe5HI341HHgU8A3iT/dyHdGgMEhn4deYTVb5R4A/ef36IZB7C\n",
       "XI5E8RuR8e6fRqx3MxKdfQb4pS37MNJh8cdSe+3yMCS6x5Z9HSJ8P0acMPb9wUin5hYCMfybLf80\n",
       "+3IR4bcJxuP/iLSbRXY7N4XKe58t37Bd57vAIbYMP4qogzBR5Qnzc7vdrcArkOzM0+ps9yzv/Xn2\n",
       "f+9AxPkCagW0CPvpBf4Tme/wpN2+41KkAwZwLunrT6mDCmZjnAocR/2G5qggwrMl9P3nEaf5LCSC\n",
       "WxPz/yeoTp/7PfPHQut+BElLJfE9pMH+E3Fcjm9SPZEC4Pg62/KJE/mN3vuPIemipyPieTTiVHyi\n",
       "yrEd0nPfG5ns8nWkHgzxPO69f5JsY6hRx3I3EtWtROrvld5vz6Y6cgc55+Hzk1S+bmqPJ65O/ejq\n",
       "fMSWZgJrve8fQZz6McAZtsxvsN/vEbPd8P5M6LuKV8Zw+QfqbO9cJGV+PBIVvxKJGH3+iGQorkdE\n",
       "9+WIwJ9NfdKUx6+frxJ07O4iSJ2CdEZ+F/rvCUhHbirSETkZ+F+k87cptG7e9nMW0tl7MWLXm73f\n",
       "fBuqkNxGlAzoGGZ2jkHGCU+g2kiT+A1BqgukVwiS8rrbvj/N+30d0igdtxKkofZExCOKXyOz/obs\n",
       "54VIxBLmJ0g0+AJEPEGE+7ne+jORXu6fkV7+mPc9iMP2y/hH4Pn2/SlIVBrFMuAfiKO6jGD8zBFX\n",
       "jqmI81iHpO6ORRzB9Ui0ubdd36W5oxxW+Lu4/15EkCLb0e7fifr3gbcg586NR/6a6vPrxCjr2JFB\n",
       "6uRQgpTsc4h2eHO97e9r368NrTPLbuPHwLtsudYjkdhzvTK6NOZvgVfZ913IMV6E2IpLyZ5ov4s7\n",
       "tkcRQXZDEH5adHu7788CP0OEI8xFSPv6A5IpOQxpZ+sj1t1K9k7/PO/9MwmGR36DRHrTkdT/kch5\n",
       "dfQg46ofR+rCnZMu+1v4GPK2nxGCzMtLqO4M7kuQkj2J6gyTMgFUMOM5FxGBHZFxBCdon0VSRhcg\n",
       "DfrzMf/3ndzrEKd8FSIWrmf5cSQivBwxePef3yPpxiuQiRA/QoTjGuDVVEdk/n4uQNJNf0JSUz8g\n",
       "elLNI4ijWEKQ+rwOGbf5jS3nbxDn8iCSgvoxMonjXLv+z5HI2E36eS1SR1chzsJNDgmX8fXIOMxV\n",
       "SMR9fqhsceW42u7rn0iP3qX8tiI9/c/a8rnJHoZaoQl/3hLx3z7knE6x+/weMu611f7nf+x/fuBt\n",
       "5wOI07waOUfv8/YXV4ao30A6UB9G0moXIwKzLmK95yL1eCXwaYLOis9CxJbcxJi32e9PQSK3K215\n",
       "3SST1yMCdTViFzvb/37DlufPyCSkq0LHEj6204DPEQwNuO9Psvu7ApkA9K2IMl9sy30hMsHmdoJz\n",
       "HeZLtqxu0k+98w3SFq9Bjv01SLYIpLPxAaTDcilyDv1U6JlIPWy2+xwkqKfw+SnCfj5vt3sl0unc\n",
       "4K1zGZKuvRYZfvlpRD0oiqJ0BC5D0I2MmRV9vZ/SvqxGOrNKDmiEqSjl471IFPZ3JEL4WUtLo7QT\n",
       "cZkLRVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEU\n",
       "RVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVEURVGUTqVS5/c1wKEF\n",
       "lEMpP38AVhe0rzWo3SlCUXa3BrU5JaAhuzPNL4fSphRpC2p3iqMoW1CbKyXmO2BOb8WOo76cUnQp\n",
       "FEVRFCUlvUB3qwvhUMFUFEVRykov0NPqQjhUMBVFUZSyohGmoijthqmA2a7VpVAmHSqYSjthZre6\n",
       "BEop2BX4WasLoUw6etCUrNIemKnAP1pdCqUUDAH9rS6EMunQCFNpGwaAkVYXQikF/ZSop69MGnTS\n",
       "j9I2lCodorQUFUylFWiEqbQNPUCXTPhQJjkqmEorUMFU2oZeu1RHqfRTIselTBo0Jau0DT2hpTJ5\n",
       "0QhTaQUaYSptgwqm4uhD7UApnlLNo1DBVJJQwVQcGmEqrUAjTKVtUMFUHP3oBDCleDpVME0FzNVg\n",
       "VIQ7BxVMxeFuWqC2oBRJx0766QZWImMdSmeggqk4VDCVgjFdiEZ1YoQ53pD09lmdg7uspDQGq7QM\n",
       "167VFpSiKJ3/aaZguoNTwewcNMJUHBphKk3CfAhMGp0onf/JQzA1Jds5lM5glZahgqk0izOA0RTr\n",
       "aYTZOGZXMEfns20lBhVMzKfBzGx1KUqACqbSLPpJF1iV7k5jbSSYrAZOzmnbSjQqmHACsKDVhSgB\n",
       "KphKEzAVxJZ6662JRpgTog9N9xaNCqbanUMFU2kG3YjuZIkwO1ow83Iu6riKRwWzo+3O7AHmoDrr\n",
       "zATzYnSWbIGYvcCc0+pS5ISzoywRZmn8j0aYbYU5EsxQgTssncHWYnpSzrhrlE62u2OB59RZZyXw\n",
       "JjTCLJIxYFWrC5ETzo7StClna6XppLVYMM2wvTg1DX2k65V0Mh8G9i5wf+0QYZ4OfDDH7ffSuYLZ\n",
       "T/322g/MssttlNsWCsR8EcxIThvv5E5a1ghzMyWyuVanZL8GHJNy3U42orT0A1ML3F87COZ0YG4+\n",
       "mzZTkGPv1I7aAPXbVB8wE7G9DZTbForkWeQ3GayTfV2WCLMXeAyNMMeZZl9pt9+pRpQWFcxa+oAZ\n",
       "OW27068tTjO9vw8R1hnAesptC0XST3rf1ci2O/UGMFkjzI2oYI6TxTA6udeVlj5UMMP0I1FmSswU\n",
       "MAekXLkvtOw00qZkQaJ4FcyAfkBTstnJGmFupEQ21+qUrApmNjTCrKWfbBHmMuB7KdedDIKZJsIE\n",
       "qCCCWZrefuswXUibUMHMjjsujTDtMs8Is1PHktKigllLH5kiTAbsKw2TISWbNsIEjTAdzh7yEkxN\n",
       "yQbrqGB69GVYv5N7XWkpOiXbBpeVZI4wswhmlt5wO5IlwgSd9ONwPksjzOxkvazkMUpkc5qSbRvM\n",
       "FKSOi44wH6dEBhtBPzAAJq1tDJDN5vxlp5FFMLdSflsoirwjzE72dRphWnTST764+i1aMEs16B6B\n",
       "s5+0adl+oEtueFCXySCYaVOymxHRLLMtFEXeEabtyJhKTttvJY1cVlIam2u2YG4jP8HspXNTY2lw\n",
       "9aSCWY1reGkFcyC0TGIyjGGmiTAfRQXTp4iU7BRKFFk1EY0wLb3AOrKnZNOuP9kjzFYJZql6eBG4\n",
       "ekk7jumEMk1HTSNM+f0eAsEsjfNqIU0UTFOxwy0+nWx3WSPMTZTI5potmOtJHTGaCtkn/UwBU5rK\n",
       "KxhnYBphVtOP2F2WlCykizB10o/8fjcyfqkRptDMCPM04KOh7yaDYGa5NZ7JcAvVXMkjwsw6oUIn\n",
       "YKSjHzDAcHM2Z5aAeVGdldpBMPuAe9EIsxHSCqYfYZbZFoqiH3iS5tzpZy4wJ2L7/rKT6EeyVmln\n",
       "yW4BnqAkUWYrBTOrUXS686pHP7CW5kWY+wAvq7NO6cYQIuhHBFPHMLOTNiV7BfBjxHF1sGCmmggG\n",
       "Uif305wIc5jaTnAn+7p+RCfSRpgdLZjrSX+SGxXMTk2P1aMPeACYCuY0MIsmuL2ohhqmHSJMN8aW\n",
       "NsJsJCXbiY4L0s3G7ANuhcp7KCzCNCM5PgkkicGU6zVTMIfsy6eT7c5NIks7hrmFEmU22i3CTBvK\n",
       "dyL9wEOIo38XsNcEt9cpgulSslkjzLQp2U62uTQPhe5Hxi+hOMf1b8BZBewnTBbBfIBMgmlGYp7b\n",
       "GtUOc0jJmqMLfpZuHCkjzPE5Lh0dYeYtmFln4XYS/ciMsY3Adkw8NdspgulSslnHMNNGmGnTR22G\n",
       "6Uba/0aS22AfMn4Jxc2SnU9+T6BJIu0doDzBTH2t5AeJHgIZIjol+wTN9XUfo9hn6cbRj0SYCW3K\n",
       "HA/cBTwfsbmOjDB7yCZofcgklizXYU5mwexDevrr7eeJpoM6STCzpMeyCmaWYYZ2oh8Rws0kH5+z\n",
       "OyjOcc0hv2sck8gSYa5D6iOtyM62rzBxKdlHaK7dTaM1dRrG1V3Ssb0e+CMyIaqjI8wMl5WMV1yK\n",
       "9c0UoAtx3p3ovNLgHJwTzFCEaU4Cs0+G7U2VV2IPuRMFMyGzYQ4KfZF1XL6EmLeDWR3xg7Onx0lu\n",
       "g61Iyc6h2MunHGkF00Xd60hvdyMx68alZB+lubNkp5Pf8zuzkCLCZBrwOWQ4pKMFM2tKNq1RuF7u\n",
       "43RkeiwVrpGuR1KQYYdyInBIhu0NI0aYVJ+lex5dNaYbyVKsJVuEuZGayMB0AReC8eu1E4YB9gd2\n",
       "i/g+S4Tpp2QnaAvmU2CiyuMzSvkjzM2I/0o7dh4X4cVFmE20OzMlYf9FkybCnIZM5Psv4FZS2Z0Z\n",
       "ArNwYkUzK+qt0co7/fQjaYe0grkFEcw2dV5mGZhfJPxerwflevprgPOoNf4ZZBv3GQ4toyh7hOkc\n",
       "1zrS954HgIepTaVNQ5756NdhJ4xhxtmFH2GmTck247KSQ4B6jqkdUrKbETtK2+ZGiLZRG2FWZXqa\n",
       "3VEbRmy7LBFmvTY1DXgUKm+GyhrSRZgnA59svFimH7gGzKyktVIIpknrLBpJyWYRTBdh5iiY5mww\n",
       "c3Pa+HbA7jH7HQTurnM3C9tIK28C/kJthDlZBfNxpKefJSX7MLV2NzO0hM4Yw5xOdBSUJSXbxAiT\n",
       "mVTXcQgziERcZU7JNiKYSRHmFKptrMGUrHl/jA9x57+dIsxHvc9p7C5ujDgtOyOinOj/00SYaQ23\n",
       "kZRsyQSTVwCrctr2LPuKYkckDZXU+PzU2HpUMKF6LClLhLmW2ghzRmgJnTHRrF6EWfSkn3p2Oorc\n",
       "RacdIsy1TDzCdOlYvx1muVbRYnqRy83Cdw2C8glmwhim6UWEa5P3ZZoIcybx/jUNK+0yqv7GSSOY\n",
       "aSvZRZi9KadaexVXc/PhMEUJ5qh95cEsYDDmWqyd7TKph+RPvlhP7XmJiyTiGEYcU1KHqOyC6U+E\n",
       "Gk5hRxCkZMPnIUowOz3C3ET2ST8TmHxhuhHRSIgwmQPcTvtEmEnHYjEVkif9PMi4cJouZILjBlLb\n",
       "ndmRwHdE+S93/suUko07NpeONd53aQRzFlXnwiwB85oM5XLj6oUKprvfZJqo0W+w9Qyj1663hdzG\n",
       "k0w3UuExgmlWTXBQeVZo6bOTXSaJtZ8aW0eVQzFu7C1LhDkVuI/6EWaZn1ZinXnlSUTY01yY7VKy\n",
       "aSLMNp/0Y3oREZjoGGazUrLOcdcTzJvJdo1js8gimI+TPiU7hIhgSLBMF1K/DxK0Qxcc1Iv83TZG\n",
       "gGsB55uiHP40ZHLciNw/2iwIbeMt9trHJmGGwZwb82O9WbLhdCyks7twqv+pwMvr/MdnJXAnBQvm\n",
       "FuSC3sSdWvyUUD2BLSLCdJUdJ1pvRS6kbZR6grmN5AjTT42FI8xBxKBmgFkMJk39DyOzbds5JRvu\n",
       "RKTpQWdJyboIs10n/TiBajAlO363lZiUrOkC86oM5XHlSBLMUYKno6QVsGaRV0p2BAkOwr50EGlf\n",
       "6wk6e76vSxN4LEXE2KUU4yLMu+3+3wCsDv1+ELBvin2lZXvg5Jh789brhE6nVjDTRphTvTk38+0L\n",
       "mchj3lzn/yuB/6MJY5hZBfMugt5OEmUTzNHQMswi0h1XHE4oo5zFzsBV1E/JxkSYzECMagbwDuCN\n",
       "KcozjEzdThLMFl5Wkiq68KOftBN/klKyhs4aw5yBiFyjk3565f+VbfZzuKe/CPg8mLQX7zvbTxKZ\n",
       "OUinO2zjRdCklKx5EZil3hfTkOglPGwwjKReH6M2wkzr69x+3IRC67+qOs3TkTT3NOSc+WUD8WuL\n",
       "U+wrLQuRWbnzIn5rJMJMO4YJgW3NB0ZtFL8nibdaNEOIf76MJkSYafPeeQtmky8rMT8A4zdcJ5Rx\n",
       "orXIvhplJlL+UIRpuoDlwMUkp2STJv3MAG5DGsZ21L3PrKlQ/ggzbVrfRT9pI8yklOydxEaYzU4P\n",
       "mu3BnFlnnV4w50xgJzOQ69gaTcn60SXUXlbiHG9aZzsTuclEUoQ5H7HLqHH6vGnCLFlTAT4CPM37\n",
       "csSuu5Hq9jaEiOUGgggz7WQshzsHbrKi8yFXgXFzI6YhgjkbiaDGQttYQHMFc0FoaTE9tiwP0PyU\n",
       "7CykLp1/nYfo2xykjuaDiavPJUj93EsLUrJpBdMJQBrDSNHrMhVJR6bBTAWeBxzqfTmKjCVEiJaZ\n",
       "ghxTgmCaSh2nOgu4idqU7FLEidzGuFibqJm6EZN+xvc3HTnZ25D07t51ytKPnKtHiO3Fmy6kl7iZ\n",
       "1ghmmqglHHWnjTDjUrI3U3tZySZkclSz6+AI4NV11lkOnB3q2GVhOmJXwxGXG6TpsPo2B7WOa2mw\n",
       "NPunKE9UHYdZjrSTLHfRaRbWJkylztOAklKyyxA/sb333TTkeB6V9+ZIedWNMKPuRjUfzB+9L/wI\n",
       "8z5gDpjpiGC4e8e6CHNR6D9YEZtDomCa3cE8I/73GhaGlo4lSFYrxaSfKhIiTHOCXA7ITOBGAtua\n",
       "7y2X2Pdx53Qp0k7up8NSskmTfo4AfpeqpHIZB1Tn8keB6whSGvuAmeb91kVyhPky4AsJv88CbqBW\n",
       "MHcC/sm4WJs+4DIwO4TW88ShshWpC+f0ZyDi9whiHFuQhhuHa6gb5L0ZjRiL6qG1Nz5Oe69XPyVb\n",
       "J8I0FZKvw/wXtRGms7smZDZMxRtj2RlYXueGFStCy6zMQJz6emrrJm2Eudn7HJ4l6xzvnsAfayeT\n",
       "1DCTdIJ5Iy1LyZoe4AfAtQnXRbt6iUrJHoYIoN/+RhD7dJ2AlwAvJjrCrBcc7AnsD8alO5cifmsm\n",
       "gf9a7q0LgWBiy+GnZOfZci1O6GSfDLwu5jfEV5n/8v6/EGkzYR1w53Yr8VmbFBGm6fbOzTOAk5DO\n",
       "/Z0E/nU+0oGYRyCYS7xtLATzaxsMjSGCaTsc8bSbYCY17iOAHVL2xlcgBrRaPprfAQcgs81chPkV\n",
       "4EX2/SLEGOclNKKDqY5Yw8xCjCUsmDsTCOZsZHpzD7BHaL2w8/JTVjOQxvuw3c7FSJQ5PzSW4piK\n",
       "NFJ7OQbHAh8Jja+4p52XWTDDKdl6ttqHHE/ErfGYQbRguqGAeo8jWkj1bfWiOA04377fGanXsYT1\n",
       "dwotszKdwC7C45iNpGSjIsz7kNsygsxMTGIm4pj6oyeEmG67zZtpXUp2P6S+HyLoWIeJScma9wBv\n",
       "Ac6lWjD9CHMESZ+uIhBMP8Ksl5J1lz8cYCOrMeDP9jvnv5YjaU8nmNOQ6GkL8CckI+CL2w32Nyv+\n",
       "Zr9QxsCWN1ZQzwLOAA70tnkFtTqwA3CTHROP8ytpIsz3At+w7/dFIumH7MuPMK+wy6VIZOv7wn8D\n",
       "jrJlWooMXdxPewqm6Qo57zSC+TSkke1L7U20w+yIGPX21jAOA54NXI+kTGYhs6YOt+svQpzpQ8SH\n",
       "7HvLdqME23Qh9Xgz0RHmdYiBz0aM3BAYuyOcHvN74L5g3gZcYsv+EeDfI8oaijA5QI57/HpQaI8I\n",
       "M2tK1q2/KWL7UYLpLmdKM3b+VeTC8SSOBg4HcwBS1zdRFT2aITAneeuvQBryRCJMZxdhu5yHOCbb\n",
       "/kwXtc9L9OsXam1hCXARIjKP22W98jyEZEKiOrZWgCtZb2zeLAaRGaMXAJcCe8WIRERK1vQhk+0+\n",
       "hDxKy0/J+hHmHETQdrT/de0wYZasmQXm/9nfd0MiqfcC5yCC8Sf72z8QwdwB+BGwh/Wj05E6fxTx\n",
       "NZsIAoOFiM++gyCD9lb7cqyy24iYxGOmAy9AHl/2JvvlAmQCTTjjYAUTiM8WphHMo4Hngjkc6Zg8\n",
       "ipyLtcAs2xmbAfydIMK8kPEI04wiEf6FwD4EKVl7y774SWwlFUy+jBiDv+0Ex2VmIgb434ix/p7k\n",
       "ayZXIMb1A/uf+xAHeh/iXJ6BRH2rrcEtQoz0TiLTsmYYmWzzJ6qmZ5ulYE5FTt46pAdTJyXLnsj0\n",
       "5ijBDEeYTjD9SOJW4MdIr/944Ahqb5YQFsz9kc7Ci8B82R7zLrY+yiyYGVOyDCDOIsrm4iLMJLvr\n",
       "B/MFMCcj2YoT43vhpmLX+RjwUeRc/y/V0eNLge8T3Jx8J+BnJEaYZkVC1sNP1fuRUAXpIP7SO7b3\n",
       "Ab8K/T9NhHmhff9DxgXTHBJTppkEjm0mmM/IGNQ4LmUHrZsleyDS4fwbMs/hBmpvl+l3vKZYB3sQ\n",
       "cC1Uvo50jPu8IR0/wtzP/n4r0skOR5hRNvdK4Mt2Es9K4Ft2+TmkDf/NrnctgSD/BemE74MI1yO2\n",
       "DHci4uCirQXIJSd3IGnZPiSAWC3vzSxEAy4m+i5oLmvyEeBgm9FaiHQ4YiJMCI7PHBjyT3Ep2Vm2\n",
       "vU1D2sOrED93DXKFgR9hzkH86Z0Ec08u8Y75NOCnwM8Rfz0mdVIxyFUGsbcoTSOYozZEPwPMHDBP\n",
       "A/MLMD8Hs4uIhZnK+BR0J5hmqv1tPphXg3m6fT9sBWaY4ALdBWCWyxiI2R0RrJfY3PhUe6DOiBaC\n",
       "2UtE0iy30eQ5wE+Q1MQqRAzPArMdmGeBeRDM7bbsw7bCr0eir+2R3hqIgT0APAf4H0TgXgzsao/r\n",
       "TiTtO1z9Yn974i4Eno48XX0qYtj/iUQe7oSO2uM6yY5D+CnZUXsCvwrsCWaRrGOmIY05HGHOtfuf\n",
       "Q1WEWbkFSTnfihjTsXZb29tyjRII5mKkl/ZfSK/yZOB04O3Ap2mdYM5FJkecAGZHcVpmvkTw4/U+\n",
       "jeqU7GzvvCyT7IGZ5q0/H3Fy9po4cxCYp1qnMAO4BZge2O54VP+4/F513hcBv0XO37eR8fN+JCqZ\n",
       "advKGWBeZ8/fHkgq+F2yD25EHNwR0qkyo8CZwC+AL4J5F4Fg7lxrc2ZY6odrgI95300Dsy+YI5Dz\n",
       "6uxiPpg9weyKDB9sRVJWtv3xKiTjcqRXX9OpFcw+r827CBMpM3siack/AO+LaCejtixrgROQIY//\n",
       "APMJMG9A2pkvmEVHmCNItsUJ5jORTtYHre2NiM9hJnJfZ/eknEXA04Ffy2YqBul82TbMYoIIczXS\n",
       "Jq9CRNaNYS6S7Y/X+WbEV+yFtMefIKK0I/B1RHjejJy7O2z5b0A6GauQevwk4se2Ied6HeLHLgLe\n",
       "gwQVY/a7m4DXAq9B/Oc1SMpyX+Bq+/997LncD8wpYGbb9T8DlY1I8PFapC1dYY/Jnf/pSKDiR5jP\n",
       "RnzmZ61vWor4sqgI89NIB/MY4FKofANJy16ARJKuIzYP8en32NeeiM3dAGxnz8crEHu9FOnAuAgT\n",
       "qJwDlQ26IJ/XAAAgAElEQVTEUG+q/BqSx+WUycMfqL3gOS/WoHanCEXZ3RrU5pSAIv2doiiKoiiK\n",
       "oiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiKoiiK\n",
       "0kT05utKWvTm60or0JuvK62gIbszzS+HMnHMhWCOL3qnHbovpdwUZQtqc4pPpD2keR6mUj56qH4C\n",
       "uaIoipIzKpjtSTeteaizoijKpEUFsz3RCFNRFKVgVDDbExVMRVEmAeZtYI5odSkcKpjtSQ+aklUK\n",
       "xQyCeX6rS6FMOp4CbNfqQjhUMNuTbjTCVIplR+A9rS6EMukYpETBgQpme6IRplI0vajNKcUzRIns\n",
       "TgWzPdExTKVoVDALw/SCWdTqUpQEjTCVCaOCqRRNL2pzRXEE8IVWF6IkDFIiu1PBbE80JasUjUaY\n",
       "xTEA9Le6ECVBI0xlwuikH6Vo+iiR4+pwtHMSoGOYyoTRlKxSNOrEi0MzSAGdHGGac8DUewKKEolJ\n",
       "KYCmgt4aTykeFcwqTJ4pU63rgE4VTNMFnI2kbpRMmG7gzpSdje7QUlGKQJ14NVeCmZfTtnvta5Jj\n",
       "XCatNL6umRGmO8E6WJ2dAWAu0JViXRVMpRX0AhXbMVZgNjAzp21r50QYssvS1IUKZjlwdZamV9kT\n",
       "WipKETjbVLsT+oHhnLatY5jCoF2Wpi6aKZjuoFQwszNgl1kEUyNMpUhUMKvJUzA1whQ6WjA1wmyc\n",
       "RgSzNEakTApUMMcx3cjwyVC9NRtExzAFTckqkTSSktUIUykSN5mvNM6rhbi60AgzX1yEWRpfp4JZ\n",
       "DrJEmDrpR2kFGmEGOB+nY5j5oilZJRJNySplx9mmdtTyF0yNMAUVTCUSnfSjlB2NMAOKSMnqGKaM\n",
       "YW6gRDaXh2AOJK7VMGYfMCfns+2Wo2OYStlRwQxw7TXPST/detc0BoFHKMzmzNvrXWfcThHmU4Fj\n",
       "ctp2q2lkDDOFEZkhMFMbLJOi+KhgBhQxhgnaKR4EHqUQmzMLgQ8BI0lrtdN1mP05brvV5JWSPRN4\n",
       "a0MlUpRqVDADikjJgta1E8wiOg772mXirV3bKcLso+n3qTW/AZPX7a2ykNedfqaSX6NWJhfqxAOK\n",
       "mPTjLycrQxSXkn2qXSbq1yQXTPZE7gnZarJGmNtI1+vq5KhcKRa9DjOgHzDkn5Kd7HVdYEq28yLM\n",
       "PJz/ILlNUspE1jHMjahgKsWiEWZAH/Aw+U76gUld1+aNyJyVdRRTD3sBd9NBgtnkCNNUEKEqg2Bm\n",
       "TcluIp0R9dPxj1szR4N5SatLMQnoBZ5kUjvxcfqBB9ExzDw5DNiNQlKypgs5l3fTQSnZZkdLbluD\n",
       "iWsVQ9aU7CbSRZh9dH6EuRewutWFmAT0Ao8xuZ24ox94CB3DzJMB4JvA78l/0s8A4lM3oxFmLE4o\n",
       "yxBh5iWYkyElO0R+zyVUAlQwA/IWTB3DlDr+CnAd+dfDIDLM9TgFR5hP0BQBMm8G88rQl81OLw6E\n",
       "lq3E9XDySMlOBsGc0epCTAKcYE72awNB/JCmZPPF+cStFCOYmxDBTNSYZhp/DzKjqRkOerHdlk+z\n",
       "04tlijD7keNNO+lnE3LJSAzmOILeUoePYTKIRphFoBFmQD+wFhiUuRAV0+Tt95K+U9ypOMF8gvzr\n",
       "YQCJMAtPya6nOaI2SO3YYhNSsubj3u2myhZhrqN5KdkjgEOZHGOYmpIthl7EqUxmJ+7oRzoPj5OP\n",
       "/+hF7qE6mccw+xEBKzrCLDQlu67eDlMyQK1gTjC9aHqBN3vbDS9byQDpI8we6juuIfuaLClZFcyG\n",
       "MIeBOSHlyhphBvQhznwD+aRle9C69lOyRUz6aUmE2SzBHKT2GqeJRphue87AvZSsORFMK4UlRUrW\n",
       "nA1mFukizCHk+EKCaZ4uUXZHYTsGpgyZgnbjMODIlOv2UbInR7SQfiQayUswNZpv3RhmW0aYUSlZ\n",
       "Ox7X8B383facgfsp2XOAXRrcbjNIk5I9HbkuyY1h1oswnWD6nYylwA4TKmn5cB2hnKJMczqYMmQh\n",
       "8mA66R1+QRGmWQJmfr77iN13Wt/i0oWPkc/NCzSaD+rYjmHm+uSWjogwo8Yw3X4aISHCZBqtvedq\n",
       "mpTsMCIKaSPMqJTsMPndnaRVDCG3KcsrLftOOq+T4ZhO4uSxKopy4q8HXpHzPuJIe2zOmecZYeY8\n",
       "hmmeDWa7/LY/EUwXci4eh8o25FagiY/dmiAtu6ykCMFsNC0bFkwXYQ4ij3Rp5WOw0gjmEJA2Jevq\n",
       "LzzpZ5jOuxn7EHAf+QnmVFprG3lSwgiTaYidt4K0mYQGxjDNfmCWp9x+EWOY/w84IMftTwTbIRmf\n",
       "fZx3Wtalf+teVlJWwYyb9OMvU2JcRUdFmFuRa/h6qHGK5rVgdsy2r4bpp35K1o8wM076GU9nDNF5\n",
       "gjkI3EEugmkqdPYTX1JGmKZCKrszbwAzUZ8ylfILZiNjmC8Hnll/NVOhmDHMMncEXQTvyHvij4sw\n",
       "C03J9pD/pJ+tZIowzXTgZm+bUC2Ya4F5oe8dzwb2SL+vCVEnwjS9SP2GIszYvL4/hlkhMLZOjTDv\n",
       "JJ8Isw+pu06rM0faCLMHaXtbiHXiphv4FDANzAfANJoJahfBzJqSHaHOw4kt3ci4XUJdN4UyC6aL\n",
       "+BxFRpiFp2SbMVsxbtJP1hsjLAAW25x4VEr2IQLBDBvPNNIZeDOol5L1J7Z0I41pG/Hnz0WYfYgh\n",
       "9Hvfd5DzNxXkmHKKMMdtoqyOZaKkHcPsRWwuyXFNt8sR4I1AoxN3Rii/YLqUbJZJP2kFswep6y3k\n",
       "ex1mmQWzn2IFs5kRpkkbChdx44JHyTaGOdcuR4hOySZFmCOIaOaMqSDHtJ74BuLK5lKyT5B8B4wh\n",
       "xIFtRQzBf+BtBwkmvUjHIa8xTOdQJlBnZjmYvSK+HwCza+PbbQppI8w0guluTzibYCJdI0ylddfV\n",
       "5pmSTStQvUg95y0SZRbMAWpTsnkLZtMizLQ9qCaNYZoKNYJppnjbzyKYc+xyOtER5oMEDT1sPAUJ\n",
       "JgPIidpMfcF0KVnXoOI6M26C0Gaqe002VWvynHFWJENIL38tpRVMnkv0rM9jgc9OYLsTxHSTfny2\n",
       "j0Aw42zOtaMldtlo22mHCDPPlGyazkkzKLtg+hFmitvjmX4ws2N+myHj64n7a9oYZtZZdF0ZotIo\n",
       "+pDn7g16Y3TOiDaTSpBNF5gjCSLMGUSPYT7k/alVgjkdeRhtUgpmGGlALsLcihhRRD2bXvt9LyLE\n",
       "fq8pfEmN/78lYM6f4LkrGl8wm3ADdhPeRjNSsjOILtsCWnuHohHGn2Zf95w7W0oTYS62y4lEmNNa\n",
       "ZIc5zpJNPRO/AME03YhPyCnbZCpg9pnABhqZ9HMy8B8xv+0KvDbhvy2LMDOmKczXwBwR+nLAbuMJ\n",
       "qi8lCUdLSSwHfkIgmC7C3ExtShZEoL0yG3dXoSIEc6YtR5JgunG6WYjhOMGMalBDSHoXgjrzxzAh\n",
       "+vwsR55w7kVDpg/M29IdRktoYoRppgC3hW5S0IwIcybRZZsf831RuI5anfZqupFnjqZNyTYjwtxA\n",
       "a+om75RsWcYw8x6bXwT8dgL/b2TSz1yCjGKYmSRnLVyE2ZTLSobBLAPzuTrruZ7Rg9GFM8+LuH3Z\n",
       "LsCy0HduAHYjgQE7A43pAZglYD7sfTEHcaa7289OMO+ndtIPwD1UG48z7CIEc5YtR70I83aqxzDj\n",
       "el1OMDdTK5jDyJhfVCOfBdwKvMb77ijgwzZqLSODNC8lOwOxAb/RNUMwkyLMVj6WbDryNPsNJDvO\n",
       "Q4AfIfaZlBprgmCOz6y9m9akZbOmZFNO+jEVsqVk8x7DdPacl2COyrajZkqbbjBrwCS110YEczbx\n",
       "NjOL5KyFizCblpLdFXhZHcfpC2Yol2xOAX4A7B36z9zadSMFs49AMKMOaHfgJIkSzM4ETu9AxCk4\n",
       "wbyP6AjzLnIRTPNUMF+us1JChGnc/ocRsXdlqxdhPkaQkw+PYT5AtADMBv5C9ezGk+1yYZ1jaBXu\n",
       "WB8mtWCaCpioy4WcHY56302l7qPU6hISTLMUzPFIPQ971wkXjYsw11OdXdk3lFWYg2RgskaY02PW\n",
       "C2EWg3H7H0HmKTxEuSPMIaR9pY0w+5HObUlSsrlHmK4tRQnY05EnKe0e8ZsjKiVbry5mEW8z7vs4\n",
       "m/QjzKakZOfaDT0lYT2XSogQTD4G3ECQIsX2uuZR7aAgEMzHqI4wk1KycxAHtCfwSwLBnAFcj1TU\n",
       "INWC6UeYd1Ft+CPI7dYmGmEeC+xXZ52klOxV4mCrUo/zSJ704xqze/xQeAzzXlnH9IHZ3vvfLOSa\n",
       "VfdbH2LcNyEpljLijjVLhLkrcH7E985mwxHmPUw8wvTL9hzkdnsLvN9bQVyEuTeSmnfMAb6BZB7q\n",
       "CeZ6IiNMs2PCDQ0+BbgHAky123iI1kSYKS6JM71IOdeSXjCnIh3cskz6mYp0lux5z3qfVlOpEzzN\n",
       "Di19XoloxM4J/88w6ccsArMbYi9xNuPaX9zvTY8w/YgtjpgI0yxAHPbvCC7hADlZ/cG6pt/O3nSF\n",
       "j4swo3oAc+26uyPOfT5BD+UGpDFnjTDvYeKCeRD1r0eLEUzTgzifpbbMGwiuG02Y9DOepvQjzH7r\n",
       "sAYI0tLHA1/1/jcLOXcPIJ2Y7eznywkmcpQN15FYh0wSS+NgxoA5EeuOhpYgNnE3ExfMad7M5N2B\n",
       "lUjU/ig1gpmYqmomMxDBDEWYzCcQc5C2fxtULqG+YN6K2OfjVLed84CnxvxvDMleLaQ6wixrSnYu\n",
       "cL+9x2lawXT+ZCSFOBU1hnk3gc87B8x5XkarHkcB/5Pwe4xgminA4cjs8CyCmTTp53XAWxF7GY4R\n",
       "8pmhZdT+mh5hXkbyvQdd7v1Bqp3OPsBfkcjGizDHxdOt+1ngNOJTskkRptvuvojBrQQutd+5CDM8\n",
       "hjmI9LIMtYI5DZlkk2BAZnswYwm/d9vyTK/TG4uLMOcid+lZSCCY/0AENGtKtp+gI7LObm8pQTQA\n",
       "YtwPInU0B+l43GFfZY4wH7P3nHyYdNHaUqRe54a+T4owJ5K6momcK2dLuyPnYwS4kapGbHYB/jHx\n",
       "28uZ14Kpd8N4P8IMC+Z8z7HPIRgOqCeYtyF1ezvjx2sqSJ2P2c8fssMmjiVIZ/pZtD7CTCOY8xCb\n",
       "gGyC+RBSf/Vm+Rcxhhm2692AVcgTkdKwE7Ai4fe4CHMUqbPLSBbMOilZczqYM+yH1UiH3tlLlN1E\n",
       "CKYZBnOJdxljUy8rmQv8iuRbxcWNYe6DVNB9VDupuYgDd+vugpwIp/b+gHqdST/j23W92L2AS5AK\n",
       "uJPoMUy3n01Ep2StYEb1CE0F+DZwVkRZHKvsNsLHHSZOMN244QJbtscIenX1Jv08Zl9+J2PY+34Y\n",
       "MbJFnnN2k498wbzTvloUYZp6lxe4Y4WatKx5KpgvRfxnqV0uCH0/G6lXv7M3TOaUrDkLzMvs+26k\n",
       "Md4JzLCfdwL+D+lAPgTsCObl9s87Ig55z/T7i+QVyDgRYOZFTLYDEcb7EIHyOwTzkHp132UVTKgS\n",
       "TGYjbXbMfj6J8WEKM4C0tTXA9gQR5j20Ztw8rWDea9+nvdPPVOS41lOTljVdoWxHypRszSVQWZiK\n",
       "nNM+a5NLkKGs8ATMOMbkP7HR8mxk3DssmIsRn3gd44JpTqb28Xn1Jv0cKC8zgrSVxXZfDxMvmPdT\n",
       "HWEuRwLAmeRwWckc4M+Ig42LltyJfoDqitobEcx7qU7JzgOuJXBQy5A0YCOTfuYgQr0SqdxFSCN8\n",
       "G1KJUWOYrpI2MZ6eGDeAEbu9J4ge1zgUEeekpw8cg0ytvgfpsS8E88mI9WYSPUvWOfSFyDnYgIy9\n",
       "bSQ5JRsXYbptuF7xYrs/V/8uwryP8kSY/w08P+H3BMFkP+DEiEa9FMkqhAVzFEnfN5CSNad6150d\n",
       "Dhxt309H0q5uEssKRDwvQexiLTKm+W67/na2bMfG7OfM2ugznEYzFaQtuQjzv4BTIza2HIlwoyJM\n",
       "fzlKesG81b6/jUAwXWdrqXXOYwSOeTFSH/9Cjt1FmDeS3LbyIo1gzicQzCwR5npENMPjmGci47iO\n",
       "FIJplgA3pR97rJmt6gTcdZ6XAH9AzkEaliI+Je4yjtnIfIiwYDqfcjvSgRwBPk9t5rLerfG2R2zo\n",
       "IGSi4kLZHjcw7gPMbDAn2PVnITbli+kO3raafVkJcxHDvov4So2IME2FICUbFWFeA4zaWXJzCQQz\n",
       "PIZZb9LPXOBK5Jlpl9vv7oDKp4mcJWvcrePut/t6AOkRvd8bS3nUvqLSsi8EvkZyoz4B+BlBR+Fg\n",
       "4Axq77KTFGE+QhBhboDKRuR5gddSm6Z4Jpj9qY4w/ajcRZi+YG4jcGh+hDmXIMK8g5ZEmKYPmWSW\n",
       "dAH0cuAW+z4smDshzj4s9ksRu4uKMK8l06QfM2I7kB9FhhNAes5uNvgMpMPm0sWrgKsR53Sp/f4A\n",
       "pLc+jNj/r4DjIvY1D/gcVTZnrEhV3XpvPuIAnCi5MdMwy5EJXeFJP/MRZ+cEcw7SPqDW5irW5tyx\n",
       "RkWYixEbXIqci26vbEvsf26xx+4izJtozTNIm5CSNcsjggp3XOuoTe/vTfXVA/6N7uOCk6cgtr40\n",
       "5vcwl4L5oPfZdUzWIx2YzcDfSS+YY7Z8of2PC/hs4J/ERpiVbUgbfBpyHLuG/GL41njh4ScnmAci\n",
       "QcnDiB+/l0AUjwe+bLc7k5rhj3EbXEaTJ/24Mcz7SO75RaVkt5NCVO6mVjDnIT1LgzToe5GKqBdh\n",
       "2pDZzAfzdPu7E0yAi+3S9YofIZj048YwVwHXQmULMkPvZsR43ok4q2mIcccJ5t7Ad5Abu/dIr9/v\n",
       "+ZsFSIO/kPEIk6fYMoTTHrOIFswFSEfDjWHaSKryFajcS22E+W/AD+36aSPMqwjEcDbVKVnX+7+T\n",
       "1kSYNmWcmJ7cA7jCvg8L5grknIYvZVoC/IlowbyO2gjzPmTmcFRb+QGSeZkCrLYpxoXIpCJ3Ocla\n",
       "AsHcD/gLVP4AlddQnUJagdj/t4GV3qUW/rESOp6zbRn9yXg7IOd+me0Ybo+MUXmYLqRt3sT4pB+z\n",
       "EsxzbT1c5dVPOCXr29wK4BIws6iOMMOCeSlBZLmBasG8nWrBXI+0x7E66fg8iLoDVg+Yj3gO3U/J\n",
       "bkLSmr6z/zHw4tBGnGBGpGRZCezm2dcKpBORFM27DtAqSf8nRZpmOlLfzwPzLJsJmUsgmLsg5+BW\n",
       "JAuQRhPGkMjOE0yzL3CZLUsdwQQksHmRfb8LcBEYNzs7YdKPGbDbnQochtjW7YjvWkvQnvZE2vL+\n",
       "iF+4SZZmMZjLkXbyCLUR5oRTstORk7wWEcwDwXw0Yj1fMJ3TceOXII5nnndy5yKG9wCS3ryMYJJL\n",
       "+LKSqEk/rwW+aStwOtJDegKpwCcRZwRBSnbIvt+GXIxtI9HKZ23ktsHu80Cqe4Ru8sJcybWbfiR6\n",
       "uRQRw6XAm5CevkvFPQv4FVS2Ui2Y6xGx9glFmKYfzBVenSwgEDufJ4C32bG6fsShXoA8KSLqOkw/\n",
       "wpyJGN2liOj3EjwxJTyGeR/wPYrnAMTeVkU3YtONXCJylf0iKsL8ETKe7f7ThzSov1E7RjZKdIT5\n",
       "KNJ4Q87U9CO20g28B3GkhyDO/nLgSEQQ/Ahzf0SsHW6W9g2I09gOEe0rqb0caU/k/O3tHcuZwEdC\n",
       "6+4A/B5xkrsgKeVdQ051MfCQZ/fTkdmGn0OcyO3IMEI/gV1ArRNfjbTZkxBf4pxhOCV7ia2LZV7Z\n",
       "QNrO7QRtdQmwDiqbEbvzJ6UVQVSEeSAyC9NlOjzBrBiqxjHNHKRzcmJoGy6isylZdy7Gx7Q3EYzx\n",
       "HoJ0tOsJ5j3IWPVXg7KZg8D8yZbDsTdij28EzgEuQib3OMHcFbjd2sIjwAHIc013it61GUF8/d+o\n",
       "jjBfjbS1ZaQXzOMRITsMaRvufq9JKdkxgk7W/oiPvAPRHX+y2J5I8PRcxIZvQ/zDsYivfCYSnR4t\n",
       "/6tsZTwlG98BSSOY29kNPok4sDcAbwHjNdLxB8y6WbKuojzBrDxmf3cGszNy0h9EGvzNthJ2JYgw\n",
       "Yyb9mAoytrUReAnieO5EnMMtwAM27IfAkU5DjPsCROBc6tbxMPABqgXTRpimgowffhpJcd0AlU3I\n",
       "yV6OPBz2K8AXbSN4IXCu3a5LyT4FiUjC17I6wXRG8Sy7zuEEgjmVWsHcikTDb0MaxbXItXJ3EYh/\n",
       "XIS5I+KQbiWYYbbWOoCQYFaehErSjYvz4gCkcT9EdHpuJ6R8rl48wTTuPsA/AZ7mNQA3EesOxiOo\n",
       "8ejApWRHvfX91FU44jsASSvtCXzBlvXNiOD9GTn/XyEQzIWIgP3N24abpf0T+9sYYr8XAQdJutN8\n",
       "30abeyAdF9cBOA7pJH6HWsF0M8QPQcbyt1E9f2AHpC2DOOcTEec1gLTJu2392PHLirHr2ufRGtfp\n",
       "O9TWwYeRzskj9vu7CG7yvxip1822nH9GOobTETu8w27/FiRF566NbsU4ZpRgHo/4gePt5/kEKVmo\n",
       "nvizGjl3h4IJX6bmOuD/CXzCfr/MbusyJMrsQvzPRYz7A1OxHReflcD3ERu4D3gFmDch58AgPtGx\n",
       "L2IPv0TOw3cI7gbmCSYg5+BnyHDS1+y+p4PxU7VLEfG5jXHBNKP2P79CLjmZjVydUE8we5GJjMsR\n",
       "/7onMlM86Wkl2yOZyZtlW5X7CCJMK5imC2nrbwNeirQzdwe6o2wZRhEtOITxyZSVJ5FgK3ayVZqU\n",
       "xwrkpID0hPsRR/A+MP9ud7AH49cmmbWIyByJGNDbvW3di1TsPKRX+xukZ3IYIlZLEYdwKZJqOwfM\n",
       "tfY790SPvYEvIhHZB4H32/L9FenpX430piyVx8B8FRGTjYjBPp0gledwxvdWxCB/ZLf1Zvu5F5mg\n",
       "gd0XSKM+A+llfwA4AviQrbML7DquJ9gL/EK2N37/3EEk+tsgTsP8CZmk8Rmkx3+jPe5lBJNbHE8A\n",
       "P0VO+HrgEnusq209nW3X24ycH3dz/AeQjsw/EEM7EnGYzlHdb8s/hBhZq1iNCNEQ8G4w30Ic7kYk\n",
       "qjyE6nO4Fni6tbvtkbo7H7GJd4D5M+LYP44Iwr5g3Jj2+5GMx21IHZ0lfmf88qINwAk27XQV4nhO\n",
       "AX4LlSdk9+Z9SPT0H4gNfMyu+7At2wuBf9iOll/m2xB7ejuwCSrrwVyEjJG/yu7rc1JeTgIukNQa\n",
       "r0Kcn73O2LwIOXcHIxMpbgJegNjxAtm/cdH4cYwLZuVSMHfLNjgPaYN3y/FyIsH4JYjj2g24HMw7\n",
       "kXb7asThfF0iQ7OF4PrOZyAdgS8hEceJttw3I+3sUIKo4hbk/H7Lfm6FYM4FcxRicwsRx3wi8C7g\n",
       "VWDWIPVzr/efDUi68zrkzlg/RdrSF8F8A/ENuyLj1uuQdvgSMDcgHZe/I+JyPOLQ7xcRMFvs//4q\n",
       "65mP2zL9FrHvHyJ1dzqSBl6DZKUWImLnhqiOAj5vOyXH28zE8wgEcw+CrMcttgxHI/7hDCSTtwDM\n",
       "L5FJeCcitnUrcBqY45AA5Av2WF6N+Cw7u968VI6JrbbcTjCvQXzYGsQ//hyxv+/a/4cjzN2t3zzK\n",
       "nhf3MADsNufYej8EaWsPQOViMBfIf1mLdEhHGc9Ossb+/4fevhLHMevNslrD+PR0ZZLzB0TEimAN\n",
       "aneKUJTdrUFtTgko0t8piqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIoiqIo\n",
       "iqIoiqIoiqIoiqIoiqIoSlr0XrJKWvReskor0HvJKq2gIbsz9VdRJglF2oLaneIoyhbU5hSfSHtI\n",
       "8zxMRVEURZn0qGAqiqIoSgraSDDNYjB7troUShkxc8Ds0OpSKIrS2bSRYHI8cGarC6GUktOBN7a6\n",
       "EIqidDbtJJg99qUoYXZGbUNR2gRzOJh6V2iUEhVMpRPYCbUNRWkXvgcsaHUhGqHdBLO71YVQyoaZ\n",
       "Qq6CaXZt196wopSUtg1+2k0w27KSlVxZCAyRn238BNgxp20rymSkbX15OwlmN21ayUqu7GyXeWUf\n",
       "+uxLUZTmoIJZAJqSVaJYDtxNfg2wbRu3opSUtm1T7SaYbVnJSq4MAWtRwWwAcxCY4+z7qWAWtbY8\n",
       "SudjpiD3MG/L4EcFU2l3eoCN5NcAO9nuDgGOtO+fC3yghWVRJgc9oWVb0W6C2Za9EiVXnGBqhJmd\n",
       "PoJj60fHapX8UcEMMO/PcQp+JzsupXF6UcFslF77Cr9XlLxQwRRMF/AupKeaBzpLVomiB3iMXGzD\n",
       "VOhswfQjzB5UMJX8UcG0uMY21MRt+mhKVomiB9hEPrbR5e2jE+klODb/vaLkRUbBNDuCmZlbaTKS\n",
       "h2AONnGbPp3c0y8pplvS7KUmz5RsW/eGU+CnYTXCVIoga5s6B3hWTmXJTLtFmJ3quMrKDMr/FJAc\n",
       "U7IdL5h+SlbHMJUicPaWNiO0khLZpUaYShJ9lMhYY8gzJdvpghmOMDv1OJXy4NppClsz04CllMgH\n",
       "tVOE2Y2OYRZNH9BtLzYuK3leVuKLSSeiEaZSNFk6obvZZWnsspmO0FWARpidg7surzQGG0Ev+adk\n",
       "y3z8E0HHMJWiySKYK+2yNHapKVklCXeJUGkMNgJNyTaOXlaiFE1WwXyYEt1Qo51SsnpZSfG0Q4SZ\n",
       "Z0q20wUzfOOCTj1OpTxkaVOjwK2UyP9ohKkk0Q6CWURKtlPtzhdJjTCVIsjSpvqB9ZTILtstwuzJ\n",
       "8dZ7Si19oWUZ0QizcfxZ0DrpRymCLG2qD1hHieyynSJMl44t84zNTqMdIkxvDLPpnalOF8xwhJlw\n",
       "nKYfzDMLKJPS2XSHlkn0oRFmw3S68yoj7SCYvcDjwDaCW9k1i063uSyXlewDfDz3EimdjqZkLUWM\n",
       "YfpLJX/aZZbsVvtqtm10us1luaxkjPwerBDCnAbmpcXsSykYTclaioowdaZscbTLGOYWRDBT2kbc\n",
       "zcQYsrAAACAASURBVJzN4RHb9pedRjjC7Eq4ScVSirODXYAVBe1LKZZGBLM0/qfZgrkNjTA7iXZJ\n",
       "yW4FniDd7baWAH+O+L4C/B8Y33473ebCEaa/DDNGYREmA/aldB6akrX0Ao+Sb4SZ0ikqTaIdBDNr\n",
       "SnYaMD3i+16gQrWjngyCGb6bUdy5HqM4wRwscF9KsbR1SraZ6c1e5K4Mec6S3UTnOq8y0i6C6VKy\n",
       "aXutUc54wPvd37a/7DT6kE4C1L8N4FKgXyLxism5XANeuZTOogcwpBfMjo4wHyHfCHMjk3oM07wD\n",
       "zMr66zWNdhBMl5JNO4YZl+4bCC2howXTTEHqy41bJtxo3kwBFiNDLkXYwiCaku1UstzKsuNTsnlG\n",
       "mHleoN4uPA/4UoFPD3HRVmkG3SNwKdm06foB5JrNcIONEsw8H07danqRyHwL1ddgRjmneUhn+DGK\n",
       "SZVqSrZzyZIp1AizMUyFoGfSic4rLYOI83pbQftrhwgza0o2ShghcNDhCDOv2+61GieYrt56kU5H\n",
       "1Ll+HXAZsJlihGygoP0oxZMy8DFdyHXVj1Ei/5OHYOYRYXYh6aAtTOqULIPAycCrwTylgP21g2A2\n",
       "kpL1l0nfu8Zd5uNvFHfDh60Ek38inJN5CvAi4DSKE0xNyXYuaTOFfYh9Pk6J2l8eKdkMEaZZZZ+q\n",
       "XY88L05vJwaBm5De/lgB++tDOimlMdhqTAURyawpWah1/HGTfkqakjW7TPBWgO7cupRs3E3s5wDX\n",
       "QeVBNMJUJk4jglmaIaFWR5gfBo5OsZ5ziiqYYmyPkd/kKh83hlAagw3RDTxhZ21mmSUL2SLMMtrc\n",
       "75CJOI3iR5huDDMq/TUEbLDvi4wwVTA7kyyCuZmSddibLZgbZJsmrYMZtq96uGswn2DSpmRNF4GT\n",
       "K1IwS3UdVAiXeYD8xjDLKpgjwNQJ/N+PMN0NDDYQLZiP2feakm06ZhDMjFaXokDStql+xNd1tGA+\n",
       "jjS6NCII2QRzskeYA8BGG00VJZj9lFsw3fglpO9MNTKGWTKbM11IOdO2syjiIszwsbZCMNskJWtO\n",
       "AjPRtvEy4APNKE2bkPayEpeS7WjB3IKk8NL2fFUw0+PSsSAObCLOMi2lm9Ydws2QhYlHmO00huk6\n",
       "SxOxAT/CdMe8mdpzPUyhgmkqtE9K9jPA8gluYyagEWYtkyIlm1Uwh8gmmJM4JVslmBvQMUxobkq2\n",
       "jSLM8TbTrAhzyC6jnFPREWbULQpLiKkAs5DU+ESYysRS6+1GN52dkjVpnzGYZ4Spk35qI0wdw6xO\n",
       "yWa9rCTs+NtpDLNZgukizCGqxzN9ip704+y87BHmCGJvKpjZCF1PH6svLiX7JDIvptnPum2INBFm\n",
       "2lmvGQXTVNCUbBYaEEzzEjCvmcA+2yklm/WykskeYTqH5EeYUe0rHGHmnW0YQDppUyLuxlQmZtul\n",
       "CmY2wm3qT2Ci0to2JVsxBJc+tZw0gpk2kskaYfYhNyTIOku2FBXXAhoZw9zNvhqlBIJpdgczO+bH\n",
       "RlKy/Uj9RQnmejpOMM0bwBwY8UOWCLPIlOyg3V9RE4w8Mk3gcTY5UbEbYeKi206E29RiYEHEei4l\n",
       "CyW6FrOVgpmll+xHmDn2Os2rwYzmtO3uCd6dp5ExzBlMbEJBGW5+/F7gxJjfwinZtBHmWqIFcy2l\n",
       "mPRjpoH5WcIKWdrO04A9Ir6PijCjBLOBST9maYpyxTGIpOw2pdtXU8kiXBphNka4Tc1AJj6FcfYJ\n",
       "JRrHLINgptl+USnZVwN53XJub+DcCfy/kTHMBME088E8q87/y/DE89lENyioTcmmHcOMEsz+iO9b\n",
       "FWEuBo5OuJNPFsGcZV9h/HvJDnnvm3FZyRViXw1hL59qRYRJmruOOVydqmBmwxvDNAOIb4kTzM32\n",
       "vQomjUWYeadkZxP0HJvN6AS33WTB5FDg7Dr/L8OknziHD43Pko2LMB8OfR93u7i8mY3Ufdw5ztJ2\n",
       "ZpLcg3cp2aRZshkm/Zg+xObmxPxe73Z+LsLcTPEzZbMI5mzkuY4TFcwRYKgsk1oKwH9Mo3uQe5SP\n",
       "8lOybSWYaScWNCKYj6Tcvj9LNqeUrJmCOOY8BXNWbcMwFTAvSvH/ZgvmHGKd2jgtHMMcd6xJgtlo\n",
       "SvZhou8lGxbMVkWYzgbjjjtL24kTzKgIsxljmKOhZZjvg/l/Cf93EWYrUrJZBfNOmhNhQjHXVSO+\n",
       "xiwsZl+R+G3K+aZJn5JNY0TDwL2UZ5bsdKQ+8hLM2cj1ZWEBmwt8G0y9em5k0k+SYI5SasGk17vW\n",
       "LSnCbFZKNur7uPur5o073jhbTNl2TAVxRnEp2TQRZtYxzHqCuTvwKTDbxfzu7LwVKdmsY5i3MPF0\n",
       "6lTg0SZsJy1vAKImgaXAdNk06kTwr8N0vinKR00qwUwbYcY0evN8MM/0vihiluzs6qX5EpiDcth+\n",
       "2JG4GWJjdf7f6KSf6TEPnJ5jf4sxRDMFqesNtGYMsx+xo24kMv8AmJND6zQ6S9YTRjMS+j486cc2\n",
       "2kJTZiFbrCFtZ3MEmYke14Of4BimmQLmFaH1nX3HlX0+8EfggJjf2yklewsTijBNN1Kf91GcYC4k\n",
       "elYq0olJHHt+DvD1+rsw/WA+GPOjfx1mUoTZT2FjmKYC5ndpZkm3WjDvk2XNuMZxwJHe5yJmyYad\n",
       "1AFEzy5slDhH4ox3+zr/z5iSNV3IedhE9Plw0WVcJOAcatTt0oqgnyAymgXsQ+2ErImkZAfALAFu\n",
       "s52DuJRsK67/TZOSTSOYM0NLnwGCW481eqefxcAXQ1FHgl2ZQcSuriL+SSvtkpKdBfyLiaVkh5EO\n",
       "6aMT3E5KTDeS0YoRTN4GvCphA8uBHVLsaLlsK1KAwinZB0kXYebZaZ8LHEaKp/+0WjAfofpelo6l\n",
       "9uUownHNRhrpbCvgS6kvYlm3v5XmCOZmZJaZ13kwbwNzgn3/EuClSENcS7RBzgktw7T6Xo59iFO6\n",
       "zy6XUG0T0Pi9ZF2EeSySip9PfEq2iXZn9gHz2oTfe8A8DbGR9Uw8wpwF3EG08G4H3Ea6Mcy4ST8u\n",
       "reqfl1G7naiyz7PlvoN459TKlGzWCHOigjkVOc9Z7o42EeYhw0Jxgrk9wTmNYol91WMM0ZZFEb/5\n",
       "N1+fgdRhvTHMvB8ivTS0jKXVgrmB6KebjFGdoixiluxs4Hq7nGHL1GzBvJHolOw6kg0VqgSzYux7\n",
       "/9wcDRxiI8v3IYL5sH1ZwTSjciMAsOW4nXjBnI6cy1YJposwb0QaVLgTBdUp2SxjmC6SPBaZ6bjM\n",
       "7i/vCPM44ENgPHs33WBcr/2pwA8JbHEZmFsi0sFZIsybgWkSTVc9Rmo5Urd+hBk6TtODpHRdpyQs\n",
       "YmN26dvuqC17VOZiPnAPNYJpBr3O3wClT8maCiIG1zMxoStaMN1kn0YFcykwajMFSYyFlj6uk7tN\n",
       "tsXNtDwlm4tgmqVgPpuwXpME03QjJ3TMS9XmMEvWzAzdpGA28E+7XIocSwbBNCNgQoZoVoH5uP0w\n",
       "6m3fZwEypuPty0T1vv0IE2rHMXe2r6MQodmXGsHkZcDn7Ps5wD+oEkxT8SZj7A78nfzTIXE4wbzb\n",
       "lmGAZMEMO/suMPOqVzdTCB50PoKkYf4XEcwCIkx2RQT6FO+7Y4Ff2PcrkXO1EnHGRyBOZ1loO04w\n",
       "67WzmcD9iK18FXiL95sTzKQI06ZjK8Z+joswx7zvRoFrySSYfBE4w74v0Y0LzAiYv0bcom8JUqe3\n",
       "1v4nDrNDxE1RRggEs4i7/SwAbiJSME03clz1IswnqZ+6HAstffw2NYpEmK2e9DOGtMuxeitmiTCP\n",
       "BV6ZMEuqWRHmIsQZGILrdJqdGutFnMUtXsTlR5hLgT8B2weibY4Cs3PCRs9GGr7PycDp1lHPBq6j\n",
       "1pEsBC5mXDDNkJTNrAitFxZMbxzTzLTb3Rl4AfBxgojJF8x9gP3treaGgBuojjAPBS615d0DuIL8\n",
       "0yFxOMF8CBEyK+5V4yLO5qDWNl4E/C40Pu6u7dqI1MVNwF8IBDN8uckE7c48Bcz+3he7AR8CTrN3\n",
       "89kX2A9YYaM/dxvDhYgt7mI/rwptuE6EafaT7TMTqbu1wCHAM+zv9to/7iF5DNMfv4ToCPMGYDuZ\n",
       "kGV6EXu6lqqO4fgD5Z1g3km10z3IvkDq4KaIfRWBjTDNFKlDDgT2QjowPq4zuQ4YSXFtKcA3Ge+w\n",
       "mJORm4ZMtdtYR3ER5mXIeQizGLGp2dE+fnyY6grqp2XHEBsYi/gtLJh24lRNFqXJgmkGib9Ry1Lg\n",
       "apoUYbpGeTBysPvaAngHYCoEEzAmKphjSM/tNoIKzzBL1vSBObzOvvdHejafRlKXIA38DnsMuwLX\n",
       "II51jhWQLwD/lrDN44DVnnMAOAYRuj0Q53MT0RHmxYjTORoRrT4kUvRJEEx2Bi5HxiiOBb6DOKYo\n",
       "wbwVOAl4AGkgc2xacJn972xbXieYrU7JPmRfNyPH5I+LJKVkj0bqxXd2/QTRSx/we8QOmhBhmhPB\n",
       "7O19rgBfAT5qP/chvffPI9HdZ4GfILb4OHJudkPsDkQwAe6idrLTMDJZokdmNfoO23QBP0Ymb/j1\n",
       "t1E+m+3t/m+ykWN4lmwWwdwOqcNnAt8DzkOcsdcxNN3AP+zYrBPMB+QYzKDNAiwC9rPt7BBgDa1N\n",
       "yR4OXIK0k23UXoaxO3A1VB5HOvZ1MjBmBXJ+DwczHbGBN5JbStYsjxHxhYiQ9VQPCwDSYb8JGaaJ\n",
       "Eo6ZiI38PeZ3nzHkHC61nXkfv03NQWxzHXJ9britNjMlewrwg4jyIOXkQpo8hnkw8DPgIDDHAvd4\n",
       "KcglwBaoPMn4yR+PzPrB/MD+x8cXzFXe+MpSxKnfSiCYK5GKTXBcZjcwbwDOBC4As6sYhTnb9uh8\n",
       "AzoGScV9G3ihPY5ZiBN6EOlV3ob0fpYhDQjgmdTM/DIVcVrsiDjf/ez38xCH8n3kXqgPIemxqDHM\n",
       "65ET+k3g7YhQPRfMpZLSNYMEN6V2+Ndi7ow42puAR6ByCxKRrWVcMM1cpFF+CXi5Lcv9iNGeBVwp\n",
       "++QyZIZyqwVzCdJIncO/zb6iJoNBlW2YKUg68/vAC7313fjYJvv594gQ+2OYfZ6t1BFMMwzmBWJr\n",
       "fAn4D++/z7D7292zj1ugsgH4ORIBPwGsRm6Z+FREML+HpL1uttv5NtER5nqk7dxit+U4GGmzL6A6\n",
       "wrzU7vflBOlYV28uwrxOyjM+RuVP+IHap5U4wVwBfAIZ79zHbmemPQ/HItHL2YwLZmUb0hH4KfDv\n",
       "wP8htnkMcD9U7qG1s2RPQZz4qYgNhS+BWYlEJDAeZYKNTD8F5rjQ+q9DhkKWIQ+dPh/plO9IpGCa\n",
       "OTbCbQBzDOJPnm0/TwfzezBHIoJ5FzLMEY4yt0P81y3A8yP2vwQR09tJF2GuQTr9D4I5D4w7Pn94\n",
       "bQ5Bp/4ZjAckpoJ0/mME07wQzItDx90b0QnwOQ3pqNn7UpvZYD5hbT21YKYZD1wF5mO2wF9HUkqn\n",
       "Iw3wXDAX2EK8R1avbAHzhHw2TyIR6SDwNTC/Q1I4Xci9VX+ENMhPA+8A8z1gTyQdOiIHafYBnoU4\n",
       "kxOBw8BcZLd5HcGkhONshewAfAMRn27EyS5GjOBv9phOBl4MlevB/BgRmwGk0T+IpIe+h4wtnWu3\n",
       "8x5kDPAzyJ0yupHp8U9HDP8X9tjeDuYS4AT738uAdxOI8Uow5yDG8DgS/T0AlZ/aVMh3Ecdxvj2O\n",
       "JYjxLaZ2DPMMMG9FHODXbJ08aH+/BnE6j9m62Qn4q13vdKRDcj/Soz8eiQ6OQxzbf9j6/5fdZivG\n",
       "MM9BHP2HCQRzBvB5MP9EIuoDCSKyrcC+YN5p13sEOWcXSqeNdQQzoTchkcPFiFPemSCC3yL/MyCN\n",
       "1o3tvRPMA/a7x5FGfgrSYz8A+I3dzhfAbABejEQoL0ciyRGvrF9BnOSdwCuBXyLtahsiHq9DbNkg\n",
       "2YI1YD5JcH7nIed1A/A74GNgxuy2nyafORMRq4/aerwRGTL4G+Iwf27X34IMfWyFyl/A/BG4GsxW\n",
       "pBMVjjAXg/lPRBjn2joEsdsvAX9GMjWPIUMDRyI29V57jn5o178D6SweDHzEHutHEQF2+yo6wtzV\n",
       "1vOJyHk5F7HD/wXzOcQOtyFt5iP2P+uAt4B5GOk47Aa8AMz5SKdnFGlX+yLt9DAkY1Cx+/iV3cbx\n",
       "nu2+ALlxx/mIfa5DfMxfkXqZiUS51yGd+98i53gU6Ty9G7k5xFFIG/kXYkfbkA7Y3cCbwdyOBE0r\n",
       "7fb+G7GHfwPOBPN1KQdTkHN9GyKYrwLjhkLCdNky/xWx01NtfZ0P5mrGbY2tSGbhYfmNnwHfA/Nu\n",
       "RNjnA7+229wCPBu5DGwQ8cOAWYXYzSwko9QL5ksEHWLHIkTE3wS8C7m+fhXSQXoKEl1fLPs17wT+\n",
       "XU5PLfVy72uQFKGi/AGJhopgDWp3ilCU3a1BbU4JKNLfKYqiKIqiKIqiKIqiKIqiKIqiKIqiKIqi\n",
       "KIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKIqiKEpa9F6ySlr0XrJKK9B7ySqtoCG7M/VX\n",
       "USYJRdqC2p3iKMoW1OYmPWYz8uB1iLGHNM/DVBRFUZROp5s6j7xUwVQURVEmOaaCPMtTBVNRFEVR\n",
       "EnBC2ZO0kgqmoiiKMtlxQqkRZntgFmVY9xtg9s6tKIpSg5kB5p2tLoWi5IRGmO2D6QZutHn0NOwI\n",
       "zM2xQIoSZgw4pdWFUJSc0AizjegB+pFB5zQMU6cnpCj1MVMlckxFL2pzSufSHVpGooJZDnpCy3oM\n",
       "U+fEKkoKXgG8JeW6KphKJ5PKB6tgloNGBFOdlzJRBuwrDSqYVZhTwGh9dA4aYbYRKphKK+ghvR2p\n",
       "YFbzSWBhqwuhNA0dw2wjMgim6UKiAnVeykTpta+066rNBfQAfa0uhNI0NCXbRmSJMAczrKsoSWSJ\n",
       "MLOsOxnoIX1nQyk/mpJtI7II5v9v71yD5KiqOP6bze5s9jFZCbsJBBDyIAQkQREUsMSAsQQVtcAS\n",
       "H4ilfoiUiEostXxblq8Sy5LS8l2WWr4p/OALfCBY+ABE5CEiEdlABHmzSSQkYI4fzr07Pb3TM7dn\n",
       "pnumZ86vamp2Z+5099y+ff/3f87tO5MpyhpGI9KGZG2iWZU07jwlcjTI+7LZtpGAOcwCERQ/d3jB\n",
       "tM7LaBfLYbZOliHZw4GTM9q2UR9zmAUijcOcSFHWMBqRVjBLLoc+4Mwv1J1VSHY0w20b9bFJPwUi\n",
       "aFkmh4VkjU6RVjD9ZwYdXwcmmP2DLY1XICyHaXQDE8zWKMeeO80oVs95Yw6zQJhgGt3ABLM1fB1k\n",
       "lcPMcEKRkYA5zAJhOUyjG5hgtoaFZPsPc5gFohWHabNkjXZpRTCt3Zlg9iM2S7ZApBXM3YFlDaMR\n",
       "5jBbw9dFViFZy2Hmj92HWSDSCuajgWUNoxFpl8YDa3eQvcO0HGb+mMMsEGkF85HAsobRCHOYrWEh\n",
       "2f7DHGaBSLPSzwTmMI3OYILZGhaS7T/MYRYIc5hGNzDBbA1zmP2HzZItEK3kMG22otEuJpitYTnM\n",
       "/sPuwywQ5jCNbpD2573ABmqQ/cIFo9i6vXljDrNApFlLdgzYEVjWMBphDrM18lgaL8vtGwsxwSwQ\n",
       "aRzmYkwwjc5ggtkaeeQws9y+sZBhYA8Wki0EaQVzZ2BZw2hEWsG0BTOUFkKycizIysDCNjjJnxG0\n",
       "fZvDLABpBHMME0yjM4wAi9zvOzajDPwXa3fQmsPcDLw8sKw5zPwZBh7HHGYhGAGEcIe5C5t8YbRP\n",
       "moFaGXgssGy/Uwb+RzpBG3OPEEwwkU+CPDfHHZrDLBAjhHdGlsM0OkUZHaiFdMzmMKuMoIPWNLNk\n",
       "xzHBTMMG4PAc9zeMCWZhCBrdOCyHaXSKNAM1L5gW2agKZhpBSyOYZWAfg32NjwFTOe7P98EWki0A\n",
       "QScLZAgb6RsdQUrAIsIn8li7qzKC1kVWgjmKDooH2WGOk69gmsMsEKEj/VF06vPegLJGauQzblAy\n",
       "CIwATwJPYIKZljLpQ7Jpc5hpHWy/0WHBlGZ1bw6zQIQK5mJ0JldoJ2cEI4uAC6n+QHe/M4K2IxPM\n",
       "9GQdkvWCOch13cGQrBwJXNWkUJEdphwNsrbbR5EjrQim5ZI6y4R7NsGsj82SrdJqSHY8sGwZC8l2\n",
       "0mFOu0cjCj1L9o3Aq7t9EDkSKphj6El9MqCskY6J2HO/Y4LZOnmEZDMWTPkIyAnZbb9tOimYkzQf\n",
       "CHuHWciQbMU9BoVhLCTbbSZjz/2OhWRbJ8OQrAyRbvZyq5wIHJHh9tulk7NkJ2h+XQc5zF4N61XQ\n",
       "G4MHBcthdp9BdJh7CZpAJiWqg7pe7TPyJMtZsmX0nOxJuf209LApkWH0uycIppwODEHpZ4EbnATG\n",
       "dJ5CKUlXCr3SzyQ9ezIzIfC2EhPMDPEj0EESzFCH6cva7Gwl5cIFMuw+EyqYfib8gArmfD1NgbwI\n",
       "ZF3s/VOAU1Nsz1/bjXLIhc5h9vLJzIK0OUwTzM5jk36S8a7H2p3iw9OhgjYWe26Ev3Us67ru5T52\n",
       "DB2QTAFvBZ4fe38J6cK1IemWIs+SpcLgdFxQFcxm4S7nMH1YIct7BmUc5IvZbb/nGLSQbJmqYDbr\n",
       "+AdEMIN/sDltDtM7mzSCOcgOcxx4BNWnp7FQHKdQ0QTkBSBvarK9kMFwkGnpVcEcxJBsmhwmZN95\n",
       "rQDeEPhLFv2AhWSTyVEw5SCQZdnuI5HQPsfnMEcDr49xYI6w20pGqeaWMxJMKdH7gvlftM4OAZ4S\n",
       "e3+Kqoi+kIUONE7ItV14h9mrJzML0oRkvWBmfWvJfujFGzoVvuhYSDYZL5h53M60BTgv430kkUYw\n",
       "H0fXew1xpePAQ6TLYWY5OBlFhaGDfaxUQM4PKHeey+k2wqee5tz/ccGMhmTX0fwey5CQrD+nhRXM\n",
       "HDsueSdInusWxkk76QeyH+0vdc/7ZbiPXsIcZjJ5hmRnaN4BZsWSwHI+nB3qAsfQEONwQNg3j5Bs\n",
       "JfbcCY4C3t24iJSAi1HX2Ihx1EB4wawXkvWvHUHz9hIaki3ifZgyhH7BPB3mO9AT3i3ShGR3u7+z\n",
       "7rz2iz33OxPoOchpoCYngXwnn33VpVXBzPq2kv3doxuECmb0lpyQmbJeAHbT3GUGCqaMgGwJ2Hc9\n",
       "shDMGX34EHXd+RVTaPtZ3mRbY1QF81/Ud5hLQMrASsIc5hP0aUh2Am0wk/nkz2QIWOYe3aIXc5hL\n",
       "Y8/9ziRwH/k5zLXohIZu0asOsyiCmcZhtiKYzSZjPRP4dEB4sx4VNJzcScGcRo99AmQa2JpQBuCA\n",
       "JtsapxqSvY7kHOZq9JqdaaIVk8D95OMwJe/1DCvAo2hjzCN/9hR0VNFtwQwJyUZzmFmP9gfRYd5P\n",
       "foJ5AM07jixJc2/lFDortN8FM1RAfEg2dHEBn5MLEUw/OGl2Xk4ESjR3a4C8BSQ68K2gQpPwfWVE\n",
       "H6mYjjw/FVgFEnffM+45RDAfA74MfIuakOz8hKUxdMB5A/oj6KeBXJiwPT8YzuW2kpSNVwJOYEMm\n",
       "0XUUd5JPWHZZ7Lkb9KLD9EI5aA4zr9z5cnRkHHorQ6fxYcWQdnQQ8O/Asu0SslB2VqR1mLsJG2B1\n",
       "OCQrBwMnuX9WBOz/PUB03dgKcA/z/aucBrI+8v573SMBWQ/ywdiL/pzNAAe6vw9MKNNMMF1ItnQZ\n",
       "KohRhzmJ9oE7UZd9O/Ag8Arg9ITtTQD/Icxhti2YKRqvlIE7QdpxJRV0NLuLfDovE8z6LEUbZQEc\n",
       "piwGCe3skpgg35DscvT665abShOSzUkwZRh1E0UIye4FtgMHB5T3IcbdNL+1ZMKVSxBMORyYBU4D\n",
       "/kZTwZQRV2ZN5MWIYEoJ2Ay8LPL+OjRlkMRJqEBF8e5xOnJMrQqmH2CARhujgjmFhmrngA3AncAD\n",
       "7piSJhNNooIZksNse9JPmsa7Eh0drGlWsAEV8nWYy1FL303BTLP4up/0k8dtJXdQDId5HvDZNrfh\n",
       "BTNPhxl9zpu0grmd7NvcUvT2i8VdSAVBeoe5DTis9i15Fki8DaVxmIehgph0Xta6/V4H/B49N9H9\n",
       "b4mFU1eg/fzhkdcqqCvbhzraVe7hWQUc2uAYV2qZmrzhNGpyGjnMGVTgQnOYoAahpINiQM/RHLAD\n",
       "FcxZ913WAYck5DIj0SMZBjmjTpluOMz5k7I6xWfiREOyeTnMO8hcMGWp5hLqErrSTzyHmYdgFsBh\n",
       "sp72J9D4iQF5OswH6Z5gplnpJ6+Q7P5onTxMd1xm2ttKZlkoLF+h1q1BddZniGCuAf5Jckh2NXA5\n",
       "lE5Fz0nEYcoS4CLgSJCrQVag+UTR7crHnEONm5KV7uFpJpir0OtkJvLaNHCbez4QrZ+4+50GbgaW\n",
       "V2fRSr3rzdcXUBJUIH0ecwoVyznU3c+ibQa0vur1V9GQ7DHAJXUmS3XFYXrBXNWwVGOiIdm8cpi3\n",
       "kL3D3AR8ImG6da+GZIsimEcB69qcVZ13SPYA4Ea6N/EnjcM8mKpgZjnRbBrt/B6kO3nMit6PLRdV\n",
       "X5JJkD/FHK+vu1lqHKaMoG3xmNh2vWN6jPYFcxV6XYKGVaOi5AeNpwLPAZ6FCuZfUTe2BXgJtYJ5\n",
       "KFXRxInuBCpqSQOple74oiI7A/ydakj2FuqHZG9x+/wHyGo9NjkpVi4akoXasKx3mP4ezW1oe3lU\n",
       "txkPkcsI2mYfQgVzA1qva3VVqXn8wgWLGvUjWTjMW+icw8xLMG8mUTDl2R1aqut49PvU+w26VgUz\n",
       "61myXQzJhoqflNBOapj2xCfHST8ygo6Ub6U4Idm8HOZD7tEth/l8YEtk8uIm4NnAcZFyPoc5S21I\n",
       "dp177+mx7UZDsufoL3BEkXEQ79bWoLdkJNX1apIF00/cOdc9H4sK5u/Qa6OECmlUMDegudADXbtc\n",
       "id77eC/J+dlVwB+pNUbTqGD6kOz1+nl5Y+RanqEqpGuA17rneD40GpKFWsH0DnMH8AiUdqA583g/\n",
       "4QAABOdJREFUzK3A3dTkMeU5wHfRZfZ2oQMBX0dn6vecn/swjNb5/2iwelMWDvMy2hPM6MnMKyR7\n",
       "K7B04YxFGQK+j84ya5fj0Q75+Ng+SiTeVrIgF5LnwgXddpih4bGD0AviL2iH1Sp5OswZdFR8D3UF\n",
       "UxaBHLfw9Y4SKJgyhHa29zQv2za9IJinoiHMje61F6Nu5uRIuaQc5gY0r/j02IAvKphns3AG6jeB\n",
       "H4KMoW1jO41DskmCeTRwNfAMV8YL5lbgLuDz1BfM29GQ5SFUHewsdcOyMoXmPa9hXjBlGK27f1IN\n",
       "yV6Phqa/js5mxb23ze33MvSXSLYCZ8bqKxKSBVQwN4NspNZhbnPv34uK9XbmBVOG0FWFzqJ2EukG\n",
       "d+xvQ+t3kxso+DB7wzx9Cw5TjgJ5f517bEAF8xcECaZsdJbc/192gpVBSFZKkRFcnOVow5tjoZva\n",
       "iI48XpN8X5K8BeTDjR2RLEIb79eA493x+Jj8IjT5voeaEyVrgf+AnB3ZUE45TCm7bd9N9yb9hLrF\n",
       "o9ABz220J5iRHGbmC2YsR8X5Puo7zAuAazW6UQ9ZDPIukIA6kpNd3ipOqMNcBsxBKY+fnOoFwTwF\n",
       "dSWnqPPjxcAnqRVM37luB5ZFQpcbUCEoMR+OlArwUnSSzm70nK8DOcy9/wbU9RyJ3hYx636NaC9w\n",
       "IshvQaIisBKdOAPabz01MrA+Gvie+/traJ9zKCqWH3XfY5973QvmMaijvBMVwPXu/20sEEwZB57n\n",
       "yt5B1WEuRZf+u0/rg+Xo7SBTbt/nuHJ+oPhS1IRMo4K6F7ggYljiIdk54PXAV91nvGDOuve/DZxP\n",
       "rcM83233R9QK5nr0/E4DV6Lnd7P+Pd/GEyN3ISG900EuQ0dd+6GieCtwNsjdqOiW0Irag46wpkF+\n",
       "0mCbS9CRTwVkKzqCOAGtpMeBL7lybwbZFPtsBXVa+9zxzLq/o0jsO65GwwM3oZ1i9L1j0YZ3H3Ap\n",
       "iO8UymjlfxwNHfwKZGdsP2U0xLoT2Fjnfc9it/3LdR9sRGPo16Ancq9eJLIP5Ap3TE+gN+1+HuQc\n",
       "VFiPc/sCreuPgrw1YZ/tMIJeAA+hF+Sleopz5Zsgj6F1XEad5MPohVyKPI4AfoDW74ULw10NqaAh\n",
       "odvQi3QHWq8/1XPRFiW0QxlGR/BR9kdH9PeiN1xHr5VRdET+IeBHIDfW2fYqtPO9AOSGBscwgV6v\n",
       "i0GuRTvUPe541gCXuP/PAnkJGvbydbHL7WMSFQZc2cOaXNvtsA7t6J8E3g6yO+d2twHtS14H/BoN\n",
       "x/4S7dQ/EPneM8AeKD0Jcg/aXvag520z8Afg565/XAH8BkrXgrwKrfMh4Gcgd6GCtQkNo34B+LPb\n",
       "x260n7wBuBnkVrS/exRKu1yZB9C2fxPIw2gO81zgU8CPgXcCzwXeDiV37HIx8AmqonMGKipLgW+4\n",
       "7b4SFe93gZwVqZ/j3LFfgTrIi1wesOyO5X7U3c6horoPFcufghyB9qcPQOl2J/6PoI74UrSv+5hr\n",
       "76vRyJ7nbvednqnHxOdQrXCGr+QWepC7gI+AHIPmb09wn1ntjmm9q9df6LFzIRquPpNqRKGhw2zW\n",
       "Gq9ERxSGcRXVRpU1V2LtzlDyandXYm3OqJJnf2cYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEY\n",
       "hmEYXeT/QtfcFcNUeskAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa740aee210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (3600, 128), float64\n",
      "Testing data: (2400, 128), float64\n",
      "Training labels: (3600,), uint8\n",
      "Testing labels: (2400,), uint8\n",
      "Accuracy: 75.5 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (300, 1536), float64\n",
      "Testing data: (200, 1536), float64\n",
      "Training labels: (300,), uint8\n",
      "Testing labels: (200,), uint8\n",
      "Feature vectors accuracy: 63.0 %\n",
      "Clips accuracy: 70.5 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Data: (6000, 128), float64\n",
      "Labels: (6000,), uint8\n",
      "Ratio: 5400.0 training, 600.0 testing\n",
      "  76 (+/- 1.7) <- [75 75 78 75 72 77 75 78 75 76]\n",
      "  76 (+/- 1.4) <- [75 77 74 73 76 77 75 75 77 77]\n",
      "  77 (+/- 1.4) <- [78 75 78 78 77 78 77 74 78 75]\n",
      "  76 (+/- 1.4) <- [78 73 75 78 75 76 75 77 75 75]\n",
      "  77 (+/- 1.1) <- [78 76 76 75 76 77 78 78 76 75]\n",
      "  77 (+/- 1.4) <- [76 76 77 77 77 77 77 79 76 74]\n",
      "  76 (+/- 1.9) <- [77 73 77 79 77 72 78 76 76 77]\n",
      "  76 (+/- 0.7) <- [76 76 76 75 76 77 77 76 75 76]\n",
      "  77 (+/- 1.3) <- [74 78 77 78 76 75 76 76 76 77]\n",
      "  77 (+/- 1.4) <- [76 76 76 76 77 75 76 75 75 80]\n",
      "  77 (+/- 2.0) <- [76 80 75 77 80 76 77 73 78 75]\n",
      "  77 (+/- 1.6) <- [77 76 79 76 74 78 77 78 79 75]\n",
      "  77 (+/- 1.0) <- [78 76 78 75 76 77 76 76 77 75]\n",
      "  77 (+/- 1.8) <- [80 76 79 75 74 77 75 74 75 76]\n",
      "  77 (+/- 0.9) <- [77 77 78 77 75 76 77 77 77 77]\n",
      "  77 (+/- 2.7) <- [78 76 79 78 73 75 78 77 80 72]\n",
      "  77 (+/- 1.8) <- [76 77 75 75 75 76 77 78 80 74]\n",
      "  76 (+/- 1.0) <- [77 78 76 75 75 77 75 77 76 75]\n",
      "  77 (+/- 1.4) <- [77 78 78 77 78 75 77 77 74 75]\n",
      "  76 (+/- 0.9) <- [77 76 75 74 75 76 76 77 77 75]\n",
      "Accuracy: 76.7 (+/- 1.56)\n",
      "Mean time (20 cv): 21.14 seconds\n",
      "Overall time: 427.52 seconds\n",
      "\n",
      " -------------------- Baseline -------------------- \n",
      "\n",
      "Software versions:\n",
      "  numpy: 1.8.2\n",
      "  sklearn: 0.14.1\n",
      "Attributes:\n",
      "  sr = 22050\n",
      "  labels = ['blues' 'classical' 'country' 'disco' 'hiphop' 'jazz' 'metal' 'pop'\n",
      " 'reggae' 'rock']\n",
      "Datasets:\n",
      "  D : (128, 96)               , float32\n",
      "  X : (5, 100, 149, 2, 96)    , float32\n",
      "  Z : (5, 100, 149, 2, 128)   , float32\n",
      "Full dataset:\n",
      "  size: N=149,000 x n=96 -> 14,304,000 floats\n",
      "  dim: 28,608 features per clip\n",
      "  shape: (5, 100, 149, 2, 96)\n",
      "<class 'h5py._hl.dataset.Dataset'>\n",
      "Reduced dataset:\n",
      "  size: N=149,000 x n=96 -> 14,304,000 floats\n",
      "  dim: 28,608 features per clip\n",
      "  shape: (5, 100, 149, 2, 96)\n",
      "<type 'numpy.ndarray'>\n",
      "Flattened frames:\n",
      "  size: N=149,000 x n=96 -> 14,304,000 floats\n",
      "  dim: 28,608 features per clip\n",
      "  shape: (5, 100, 298, 96)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=96 -> 12,960,000 floats\n",
      "  dim: 25,920 features per clip\n",
      "  shape: (5, 100, 6, 45, 96)\n",
      "Truncated and grouped:\n",
      "  size: N=135,000 x n=96 -> 12,960,000 floats\n",
      "  dim: 25,920 features per clip\n",
      "  shape: (5, 100, 6, 45, 96)\n",
      "Feature vectors:\n",
      "  size: N=6,000 x n=96 -> 576,000 floats\n",
      "  dim: 1,152 features per clip\n",
      "  shape: (5, 100, 6, 2, 96)\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAcwAAAFCCAYAAAB8Ye0uAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXe4nEX1xz9vctNz00NIIzeUhFBD772IhSJIE5SigF1R\n",
       "rCgi2LHxQ7EgAjYUEBAEpEmQJi1UkRqSAGmkEJIQEgjn98eZuTv77vu+W+/u3bvn8zz3ubtvnd2d\n",
       "d77nnDkzA4ZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhGIZhBPwOWAg8Edt+HvA/\n",
       "4DHgamBoyvnnAU8CP6jg3lsD767gvHqyF7BLowuRwYnABY0uRIxxwJU1utbewHLgEff39Rpdt9Z0\n",
       "UPgMVcNFwKbu9dcquM+JwKvkvreTg30nAM+6vw8H2/+EPu/fCbZ9HTi09GLXhA5q+10aRs3YA9iG\n",
       "wgp6ANDLvf6++0viNSCq8N4nUn5jH1Vxv0o4G/hCmef07oJypHEC3Usw22p8vb2B62p8za6gg65r\n",
       "5FdUcJ8TgP9L2D4CeAEY5v78661QkQa4BWgHxlL/774NE8yG06v4IS3LXcCyhO23Au+41/cDExKO\n",
       "uQ4YDMwEjgJGA1cBD7i/Xd1xOwL3uuPuAaYAfYFzgKNRC/goCsXpSWAD9AF6BrgMfZAmAl9093jM\n",
       "nRfnNOCHwfsTyQnL8e4zPQL8ilz9OAh4GHjUff5J7jqnu2N3c2X5l7vvba4sAJe6a/3H3Xcvctb9\n",
       "TPc9xUkrx4XAg+7zh59tB/T7e9Tdx19zHHAT6jGkefrhufcDg4D+wCXA466Me7tj7wM2C86dAWzr\n",
       "zvmdO38mcIjbfyJaF24n9709Gey7OqV8H0F/1/vRxjpN+IsZSL3R7/8J91k+57Zv5O77EPBvYKrb\n",
       "Pga4Bv0uHgV2dts/767xBPBZt60DjbT8xn2mm9HvDWA7tB48CnwiKM/m5H7Xx4CNY+U9Evixe/1Z\n",
       "VLQANgTudq9nuOt/HxjgrvUHQNznTSpPSJph+S5UEF9zf7ei9X6tu08voA/67J8DnJVwDU9X1R8J\n",
       "zu1Af7uH3Z+P9uzttv8DeBr4ZcrnNYya00G2RXc98MGUfaH1+2dUVECF7in3up2c17U/KqpQaAV/\n",
       "k3zBfIKcYK5DhRfgQODX7nUvV749YuUaBTwXvL8RFfBp6MPpy3Mh8CFU7OeijT2o1e3L9PngOte7\n",
       "4wFOQhte0Ab7OnIP7XXkHu6BFHqdaeUAGO7+9wbuALZEDYwX0EYUVCx7o43NC+h33A+YDYyP3Svt\n",
       "3C8Av3XbpgJz3DU+R06ox6INEsB3gePc62Go2A10ZXiJ3HfWQa4+pZVvHPCiO6cNbfySPKK9gCWo\n",
       "8NxIfkPs2Q4VAc8Q9/92cmK1k3sP8FfgM+515I7fDm34B6AN+5PAdPdZ3kI9MH+u/w4eB3Z3r3/o\n",
       "3oMKv39e2igUtDGosQf6LNyPfh8nkAuH3oGKDBR6mGnlCTkBmOfKdCU5g/cLwJnBcV8n98z9FBXm\n",
       "09HP/luyqUf9GeCuCbAJakiCCuZqd2wv9Pc/okh5jRKpdZiolTgTtT7/XMKx+6NC4GlHH4hhwO/R\n",
       "xkvI/R7lhFfnkGtkDnR/j7j3g9y17wqOXwzMQhvK59H+oHuBT6GN40PuuP7AAnfcv919QK1vT1jG\n",
       "nYHD3Os/kvNiBW2YvHV8D9oA/Qn1sF6JfZ79YuUY4MoB6nWfgn5PY8mJxHzUygZYGdz3dnKN6lNo\n",
       "IxLeb2rKubuRE6ln0M++CXAF2gCdjXr+vj/yQOBg4Az3vh9q0AjqGYTfWUhS+UYDdwbnXIlGHuLM\n",
       "RL34N9D+7msTjnsB9c7+D7jBlX0warCEfal93f99UO8eV/bXUeG7Gm2Eca/3QI2aF8mJ4cOu/EPd\n",
       "n/cI/0CuP/5e9LmZ4K7zfKy8C135Brtj/gzs6crwt4TvIE5SeeJc7677FnAqGp3Zr8h1Tw9eX+fO\n",
       "OxMV51spFNB61J++wM/RfId17vqeB1ADDOBySv/+jCKYYFbGicB7KP6geSJUeNbGtl+INprvRz24\n",
       "GSnnv01++Dy0zFfFjv0eGpbK4i/oA/s02nB5LiM/kQLgfUWuFZIm8m8Er3+Ahovei4rnu9BGJSSp\n",
       "HJNRy317NNnlEvR7ENJZE7xeR3l9qEmfZR7q1W2Jfn+nBfsOJ99zB/3N479PVvnaKPw8ad9p6F3d\n",
       "hNalEcDSYPtraKN+EPAxV+bPue3bpFw3fj+JbYuCMsbLP6DI9S5HQ+bvQ73i01CPMeReNELxDCq6\n",
       "H0EF/vMUp5TyhN/PxeQMu1fIhU5BjZF/xc49FDXk2lFD5Gjgn6jxtzp2bFfXn9NRY+9DaL1+M9gX\n",
       "1qGI7GfEKAPrwyyfg9B+wkPJr6RZ3EIu1AVqFYKGvOa51ycF+19HH0rPbHJhqG1R8UjiZjTrb5B7\n",
       "Px71WOJcg3qDx6LiCSrcHwiOH4Fauf9BrfyOYDtogx2W8V7gGPf6ONQrTWIj4L9oQ/Uguf4zT1o5\n",
       "2tHG43U0dPdutCF4BvU2t3fH+zB3UoMV35Z27l3kQmRT3P29qP8V+DL62/n+yJvJ/329GJXbdyTo\n",
       "d7IXuZDsESQ3eGOC6+/oXi+NHTPSXeNq4BuuXCtQT+wDQRl9GPN24OPudW/0M96F1hUfkj3MbUv7\n",
       "bMtRQfZdEGFYdEN37wuAv6PCEecu9Pm6E42U7IM+ZysSjn2L8o3+9YPXh5DrHrkF9fSGoaH/A9Df\n",
       "1dMH7Vf9Ifpd+N+kt9sX/wxdXX+GkIu8fJh8Y3BHciHZo8iPMBlVYIKZzuWoCExB+xG8oF2Ahoxu\n",
       "RR/oC1PODxu5z6CN8mOoWHjL8oeoRzgTrfD+nDvQcOMjaCLE31DheBL4JPkeWXifW9Fw031oaOoK\n",
       "kpNqXkMbig3IhT7/h/bb3OLKeQvauCxGQ1BXo0kcl7vjr0c9Y5/082n0O3oMbSx8cki8jJ9F+2Ee\n",
       "Qz3um2JlSyvH4+5eT6MWvQ/5vYVa+he48vlkD6FQaOLv1yac2w/9TXu5e/4F7fd6y51zlTvniuA6\n",
       "56KN5uPob/St4H5pZUjaB2pAfRcNq92NCszrCcd9AP0eHwV+Rs5YCRmP1iWfGPNVt/041HN71JXX\n",
       "J5l8FhWox9F6Mc2de6krz3/QJKTHYp8l/tlOAn5BrmvAbz/K3e8RNAHo9wllvtuV+99ogs1ccr91\n",
       "nN+4svqkn2K/N+iz+CT62T+FRotAjY1zUYPlAfQ3DEOhn0C/hzfdPQeS+57iv0896s+F7rqPokbn\n",
       "yuCYB9Fw7VNo98u1Cd+DYRhGj8BHCNrQPrN6j/czmpe9UWPW6ALMwzSM7sfZqBf2BOoh/L2hpTGa\n",
       "ibTIhWEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEY\n",
       "hmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYRk8lKrJ/BrBX\n",
       "HcphdH/uBPau071mYPXOUOpV72Zgdc7IUVG9k9qXw2hS6lkXrN4ZnnrVhRapc3ISyO8aXYomILE+\n",
       "9Kp3KQzD8MjpIG2NLoXRUowGJjS6EM2KCaZhNASJgPOAMY0uidFSDAPWb3QhmpUmEEzpC/KJRpfC\n",
       "MGrMYKA3MKLRBTFaimGYkVYxTSCYTAR+DjK80QUxjBoyPPbfMOrBMGB08a4AOQVkaF1K1EQ0g2AO\n",
       "QLN592h0QQyjhphgGo1gGNqejipy3BnApl1fnOaiGQRzoPu/T0NLYRi1xQulhWSNeuK9xmL9mIOB\n",
       "QV1clqajWQRzFfUbA2gY9cA8TKMRDAPmU7wfsx0TzAKaRTD/A2wEYta40VMwD9NoBMOAp8n0MCVC\n",
       "PczB9SlS89AsgrkceASY3uCyGEatGA6sxTxMo74MA54h28MciPZzmocZoxkEcwDwBvA69gMaPYdh\n",
       "wIuYYBp1Q/oCfYFZZPdhes/S2tsYzSCYA4HVqGgOLHKsYTQLw9GGy0KyRr0YikbrivVhtrv/Jpgx\n",
       "mkUw38AE0+hZDAdewDxMo34MA14DFmIeZkWYYBpGIjIeZGQX3sA8TKPeDEUFcwGleZiW9BOjGQTT\n",
       "92GaYBr15EvAaV14ffMwjXrjPcwFmIdZEc0gmN3Iw5RPgvRpbBmMOtEOjKv+MhKBfABk/9iO4WjS\n",
       "zzCQjOdQJoDsVn05DKNTMJcAwzPqnfVhptAsgtnFST8yAWRikWN6AT/FZvpvFQZRE8HkYvf3odj2\n",
       "4cCraL1uj58UcCjwmRqUwzCGAcshegetd2mC2A4szdjfsjSLYHa1h/lp4LNFjhkJ9CG7cTN6DoOp\n",
       "jWDuB5xNXuhVIvd+mfvLCsuOwfqSjNrgPUzQYXpDUo4bjIZtrd7FMMFUJlB8qijfeFolag1q4GFK\n",
       "GzAWeAJtrDwDgbchWoNa8lmJP2MwI82oDaFgriBdMNtRwTQPM0YzCGY9kn4mUDzUOtb9t8arNRgM\n",
       "rJ/dv1iUsWjYdRH5XqT3LqE0D9PqXMtQbNmtsq71OZBQ9OIeZlq98h6mCWaMZhDMekxcUI6HaY1X\n",
       "azAIDcFXM7RkA2AuKoqhhxkKZikepkU1WgJpAxaAbFCDa0XAt4GpwUY/rASKe5gLMcEsoFkEsws9\n",
       "TImA8RT3MC0k21oMQq3wasKyXjBfI9vDtJCsAdq2jAS+WoNrjUXrcGjwuaQfoLQ+TBPMGCaYWqHW\n",
       "oGnWWeGQccA7WOPVKgwGnqNswZR7QNZzb7xgrgT665AkORK4EB1Sgts/KeOCJpitQzsqaEfVwMvc\n",
       "xP13gikTgO2B2W57VkjW92GacxDDBFPDsXPQ0NjojOPGopXNGq/WYBDwLGUJpkRoozTebdgAmAOR\n",
       "oF7mMOBjwC+AU9wx/wM2S7neYPQZ7Q/Su8zyG82H9+xuAuLjdsslEEzpB9wA/BSix932rJDsYLTf\n",
       "vX+Vffg9jmb4Mro66WcC8DLFp4sahy6LY4LZ45E+QG/UQBqbfWweQ9DVIHyIdRLqQUIuuWcscJfL\n",
       "kAV4CpiWcr0xaL3MGjNn9Bza0WjEEtLFrFQ2QSNno4ApQH/gvGB/Vki23e1fTcMni+leNINg1ijp\n",
       "R8aDHJawYzwqmMUmJB6HehwWpuj5DAJWAa9QXkjWh2K9YPqQLOQ8zPXR1SI8z+tx0i/hemPQerkC\n",
       "M9RagXb0t84Ss1KZAjyMhmTHAi+5SIenWJbsSvQZMEMtoBsIpmwMckLGAbUKyX4auBrk1Nj2EjxM\n",
       "6eX2PYc1XK3AILTBmEdlgukTfELBXIaK5SA0/O+I1qJdAptQiPcwV2KGWiswGBXM5dTGw7yPnGDO\n",
       "j+0vliW7Aq13JpgB3UAw2R34evKuztDYWqoSTImAI4BjgJ+6viGPF8yFpIdkR6GVeAkmmK2A9zDn\n",
       "U7GHKUOBNnLZsK+hodeFMUsf0sOy5mG2FjXyMKUXsBHwH9IFs5iHuQJ9BsxQC+gOgrkesDFIUjjU\n",
       "9V9GArwJ9KuwE3pLtPG6kkJhDD3MtJDsONTbsIarNRiMNhZLKW81kTAkO4H8MNgyVBTjDRdo4o8J\n",
       "puH7MMsUTOkHEva1T0Dr21yyBTPLw7SQbALdRTBBPc04A9D+S1zDs9ptK5cjgKvdNRbRKZjybmBr\n",
       "tGJleZjj0ApnobHWwHuYvt+xVNZD69cIckaWp5hgJmXKesG0etcaeM+uXA/zg8Cvgve7A4+hEbFR\n",
       "lBWSlb6oLqzBBLOA7iKYTwF7JOzz/ZeeMsKy0gekv3uzK3C7e71Q7yk7Ab8DPg3R02R7mBOBlzBL\n",
       "v1XwfZjLgaEupF8KY1Dx89mwYSPlQ7ILEs57lvQ+TPMwW4dKQ7LboV6l55PARahglhuSdQk/kWCC\n",
       "WUB3Ecyrqblgcgbwffd6fXLWvvcwNwLugOivbvtCYFOQ4wKh9ZhgthYuJButQSeriNeHNNZDhx6N\n",
       "QBupuIfZTrKHuQj1BOJsiEY/rN61BqFgDs1tloFF1uGdTmdfu0xHk82uQw2+Ae593FBLE2Xv5UJi\n",
       "0o9EIH8CqSTS1/R0F8G8EZgamygYqhPMA8nNoOKzDSEXep2ADhvwPAP8FvgesGfsWr6f0xqu1sCH\n",
       "ZKG8sOx6wNPkQrJxDxOSBXMxBYIp/dB5QJ/AQrKtQlof5jeAS5JPkV5ot9IoN1PZCcBFEL3tvMSl\n",
       "qGCWmiU7xJUBkpN+JqEh4P1K+kTJZT4U5MDKz28c3UUwX3Z/8emg/KQFnhIFU/oDuwBjXSUajjZK\n",
       "oNb8euRE0BGtheibwF3k+lU93sO0hqs18CFZ6AzLlkQomPEwmM+WTQrJrgLaYlb7FsDzEK3GDLVW\n",
       "Ia0PcwJwnPMe42yMhl6XoPVvGvBQsH8J2m6uiJ2XFpLdBHjBvU4KyW7p/h+a9UGK8H7gUpCmq9MN\n",
       "FkyJ0B/5VZLn1PSTFniKCKZEIFugYrkUbbRGAcvU4gLyPcyXEy7iBTXEC+YqbJqyVsBnyULlHmY8\n",
       "JJvhYUaCGnThRNnbAjPdaxPM1iAMybYHfeej0enyvpM7VAaC/BnYG3gErVdj0TD+rOCaS3RfwVCm\n",
       "N9BRB/H5s7cG/PR5aYJ5DXBwFdPmjUaHCqYMJ+y+NNrDHAqshuhNVDDjHma5Idlt0OywbwJ/Rfsu\n",
       "x6Ii6UnxMAv2OyTKHdvZEW5eZs8mDMmW6GFKmztuLrosWAfJHmZSSBZyCRqeUDAtstEauJBs9Daa\n",
       "perbuvXQpbq2cQ4BaATiWOB84FHUOJuAtqGzg2s6wYwTid6rwBDbGm1DIXnigi2Ba1EnZ+cyPlvI\n",
       "eqhYfrDC8xtGowXTp+GDznZSrWCOdtfZEZ1s+A0KMxN90o+fEi9OMOwEUG9hDUQ+RGfWfrdFznfZ\n",
       "z9VSSUh2FLAEonWoOE4gWTAXxU90xPsxzcNsPcKEmzAsOxrNt/gF8Hm3bQvgL8C/3N98YAdgsXNA\n",
       "PItJN9KSwrJbkfMwl1KYjLYl2q/+J+BTpXyoBEYD9wLDQMoZ59xwupNg1sLDHIXObrEROoxkPppB\n",
       "FnqYC9GEjNGx7Z54SNaHYz1m7Xdf9kUf+GqpJCQb1uWlwIrAyPLbTnZT4SXhQrJyCMjlaIPoLX0T\n",
       "zNbAh2ShUzAlQtuqV9GxloeBjEGFayZE74XoLtTD3I3csnGeFA8TKEj8kSFoVO45t2EOed1k0hdt\n",
       "W/+Hivd+gcdbDqPRZ+VJcn2iTUF3F8xyk35GoRaWj9nPQ8O0oTAudddYFPRrhrhxmp3EBdMar26J\n",
       "RGgYdEKRA0uhzJCsTEWzGO9yG5ZS0EhF70CUkukI5AaZH4gOY/kpRGF6vxlpPZ8EwWQw8DZEb0C0\n",
       "BPgncAhqUD0ZnDsf2In8/ktQL/QPKfeLJxdtATzloiSgod0OfSn90PGes9WDjVYAP6Lsxa5lEBCh\n",
       "z9fjmGCCNiDy7RIOLCaYg8kXzGLLzTjB7CTBw4zeQa21pHAsdHqY0g/kRjQ0Fh5rgtk9GYHWl1oJ\n",
       "Zjkh2bPQhsyHqBIEsyg+JDsZuASiMCHC6lxr4IeVQG4spvcuPTcA76FQMOehDkZMMKNHIHqIZIKQ\n",
       "rJwEnEguqgHaJk90yT3XAHcA9wT7b0QdknJwnycSVDBrERGqG13lYe4IfKCE40LBfAkYH8tA3Zj8\n",
       "ClCih9nJfLctnsq/iHTBfNWVayrwbuBrFHqYZu13Pzrc//FZB+WQXWLzb4aUG5IdD/wryESsRDB9\n",
       "0k8HhWE1q3M9HumNCp6vd977iwvmzcAB7tiwDfMZ2XEPMwsnytIL+CVa927I7Y7ecMeMQb3LjSH6\n",
       "aHD+K5RvoIaf5wlMMAH94ieWMKVYIJjRGrShCaen2wydNs9TiWBCYV/lQvInLQiIVgHrUNG/CY3j\n",
       "h5UwKbPMaDwd6PixUh/g3wJPaZ9hAeVmySaNuZyXcmwai9HGpIP8LEcwD7MVcHUuese994Lph905\n",
       "osWoZ/ZkbKiIr39xYysLPx3oKDQ790CIrokdMwdNJupLYZu5HOjt+j5LJfw8TwBbVDE8pe50pWAO\n",
       "JLeQbhrrk581GIRlJUIF83/B/loJZpaH6ffvjS7Auh06RMVjjVe3Qt4Hchpa5+6hJMGU3uh4tTOA\n",
       "+PqoUBiSLeZhxheFvsb9lcMSNKN7ddB36TEjrecT9l9CuocJ8HdyGdSehYBQnofpx767lXUSmQ28\n",
       "D3iicCxnJGg7mhDVkWNAvptwPZ/wA0TL0AhORxllbig1FsxOS6PD/Y/3ScbZjsKYuT9nAmr1BIvt\n",
       "li2Y3sqPC+Z5wOUZ1/GC+ZQ2Xp2d4KA/cDFDwKgf7wI+jvb9PQL0ja13msQGaD25i+RlteIh2QwP\n",
       "UwbqPTsnJgCiOyG6u5TCByxG+6WSPISVwMDKJ8xoHgu+hXGTnnfiF5FOEswfAV/I3xS9hfZtltMV\n",
       "4NvbtDHpoB6mE8xEXiG5G2RXdAKZOPHP8zQwpZTCdgdq+CCJi6nLMFQwnyFTMGU8alU9E2x8HE2N\n",
       "BvUu/xs7aTnZ6xMmeZhCQYWLHoOomIc5nnzv1vMi2jinIL1dI9pA5DSQMrPXmpZN0cHWu6K/TYrF\n",
       "m8cm6Aohs4BxCRNJlxOSHQssSJhJpVyWoGu2JghmtA41/ooZoAlIb+ClMsNmRslIBJK00ky5lOFh\n",
       "RuucQMaI/llmPfSCOZF0wZyN1vEnU/a/THJUZzOShTD+eV5Ah6o0BbW0PKeiP/rO6Bd4N9kP+G7A\n",
       "vbEf+I/AsS6FOd5/CZlfrkRo0sSSYONc4Ocpw0ey8OGNZxL2zULDeWkci36OpDJOBamHNfUu4FyQ\n",
       "pBVgehpT0bkzt0Ef7lISEaYAz7l68YK7hkN6o0aZj2wUC8kmLZ1UCd7QS+uDepbKLPEN0HHHKXW2\n",
       "5KXLjGR2BO6pwfeYJZhpk11Ui58sppiHCeV7mJsD6ydEe2J9sjyPJnc2BbUUTL8A7vvRh/85igtm\n",
       "LGwVvYh6mYegX3hcMF2jkVg5hwJvuuQhf701EH2m1A8QsAiY5Sa+jlPMItoO2COljF+k7HFLIdI3\n",
       "ZQLmOJsB5wD/V/m9mgEZhDYofvHc2ZTmYU5B6xJoFCEMy44FlgazpRQJydZMMFcAb5MumM9RmWD6\n",
       "z9ZRuEvGA082PiLSjMghbsmt7dA6WMT7l34aGpdeII+AxEUinOUHsvswa8UCtHtpI7I9TCjLw5QR\n",
       "aJTmfxSKYdwAaFkPcxpqhRyBfslJ4ypDdiN/TI/nd8B3gYMoEMxoKdqojE44Lx6OrYZFhffuZC66\n",
       "CkrflP1bubIkWfTbA3tVViSZAjwI3Je9Np70RTvyzwemZfd7pX2GmoWZuhAZTqenyA3AYxAtpzQP\n",
       "04dkQX/nUDAnky9afiLstGelRoLZOQF7loeZ8ZvIXilrFG7q/id1I0xHjauPlFxMA7ca0lXoGr7b\n",
       "odGo7Yuc9HvgB2huxHQK+/fCMZig9W4iWr+6SDCjd9DnZWfSBfN54EcQvZayP8nDnIaKZVJUJG4A\n",
       "tLSHeQkaFp1NpmDKCPRBfjhh5+Vo9uKPgQcS9qeFpmopmFcD5ybvit5CK1dH4T6J0P60eymYmFgG\n",
       "oOUeAjKxgjJ9FfgHGhLOmh1jE2COE49X0YcuARkGzHO/RZxpwCNFFq1tILILKpTbAE9DtAAi73mn\n",
       "9amEeKEFfbA3C/Z1kDesI1qH9mfGslSlP8gEaudhgg4EfzxlX0ZIVvoB15M89nka+lmTBHMaWlfP\n",
       "qM1vLZNaJMS7DTrB/v7oxCY3kimYMhadwekjwJfQZ3i72EFTyDeW7kGdg+l0XUgWOicnSMuSjd6E\n",
       "6IsZ5yc9b747LcnIi4dkZwGTmyUxrdaCeSv6Bc4m28P8CHB1bJJgR/QORH+H6KfJ+3mOZEu7hoIZ\n",
       "vQTRgxkHzCI5jODHkF5D4Uz+W6EZYTMo28uU3sB70bGDD6DjotIIh+I8T7pXchxq3GyWsG9rNKSy\n",
       "bXnlrBu7oWX/GoX9zM+i5U9B+qIPuG+c4iHZDgrHQSYl/nwF+Bs1FczoIzqtYyJp9R5yA9nfl7Bv\n",
       "U3Q8cUfCvmmo5/Mimesbyt4gB7nX/VOO6e/K+JcWSDDaBQ1Rvg/t/76EbA/zZOBKNLdhX7Texp+t\n",
       "HYH7c2+jZe7Yncn1I3YFc93/lHHpRUnyML1gxroRZFO0XQnGKEer0HHLJU44EkcmgFwA8pd6GGs1\n",
       "Ekzpi1qwz6H9ks+hjcjowrCftAGfBC6o8Gb18DCL8QLJIVc/0/99FArm9qhHfScalokhB4AkiRfo\n",
       "w7TI9fE+4N6nESZLJYQ7ZHPXd3UqKvybUshWwFtoyKk7shO6WsJGqBESciewuZugOonPA48Gk6A/\n",
       "g4bYw9Bl0gTWwfWkF7qy/ZZo41nuJAWV8CI6E1ZSGP0IdKjBgQme4jRUMNM8zP8Bl6EGVAISAT8D\n",
       "/gwyA3gdJMlgm4IaGoNIHtvak9gZ/U42ItfmbZ/cYMsU4BPAr9Eluk5BHYvpOa9KIvSZjkXUIoHo\n",
       "/hpkYGcxB10veFXRI5NZBAzP1Uvpgxq03sMM2+qzgZ8kOEJF+jFlR5DPpuz8GCq2+5IaTasdNRBM\n",
       "ORI4Hg0DrkGtqT+6DMRZdFYMOQXkv+i4y3lFPLgs0pIf6i2YST+wF8yZwNRY6HV7NJvzdnTx1TAz\n",
       "M0ITV/6tfVEFHIyG3KC4hzmNTMHkMrQiDwYuInkc4laoRbxnxn0ayU5oUtMj6FqAAdEadF7XQzXc\n",
       "LIFnKB9HoxuHB8e/ic4Fe5FrwDoo9DDvJ7/PaU+0j+n3aF2sVUg2g+gtNGwWM9RkIFo/LkTr5W7B\n",
       "vlFAb3QFn8n5DXrnxCBPoV0Q+5K81NJ2aPLJpsDF6GTeSfViM/TZvpLCcGMPQY4G2Q+tC3e6v5kQ\n",
       "LUQTdoJnTc4CuR8NrZ4L0cMQLYLoMpeLsRhtG49AjZnVGdGFrmQu2ZO4FCFahxpzz4P8A332FgG3\n",
       "oe3MFiCfBzkXdRSSHKXnSWxPZWenL/8AzkoJ226LtmkP0g3qXRHLRvqBLAGZD3J1wv5vgFwI8kEV\n",
       "S9lLhzpIFVlRsg1I0M8j64HMAnkT5IzKr1tWGQ4H+XtsWy+Q60BOdu/Pcu8j9/c0iAvbyEkgC0Cc\n",
       "1S9bu8+vcrGtAAAgAElEQVSwP8hC5wH660buu9vVve8LsgpkfdcPGS/bk/odgT6MYTllJMhykA6Q\n",
       "LdFMvxsTrvGS3k+WBpW0K63cggJk7Brr6lxG+EWOBpkJ8grIIpAvgRzmvtuEyID0BrkP5Hj3O8S9\n",
       "8uNA/ubu/RTIXJDT0VClaB2sB3IDSNBPKR9yv9HF7v03QX6f+25kD/1cALLMCag/dyxI0JckV4GE\n",
       "84T67b8GOTN4fzzIlQnHnQPyLVevYl6/9M8vd1nUq94Va+sikGfd8/Oqe38gnQauXATyZfd6GMhr\n",
       "IPuATEq53lWuDXjbtZEJ7Wc9kB1AflHlNQbocyXHuGctiHLIYSA/B/kuyZEJQL4Gcn5s2yHu+7nF\n",
       "XeN5CpYSk8g90xNd3Yst+CE7FD7LpX+oLjhJDgOZATIYJCFzVTZwD/SzqGVWA2SwE4xLnSD8DeQ8\n",
       "bbSkrTb3KFqGKa4hdh6kjAC53TW67nuQvqjQHQfyXlTIgoxV+ak2MgByNsiPg9f/DBq9bUBeJM+6\n",
       "kntRA+Hx/M8s+4K8kKuwsrWWoXP/kagVGH6O2FRaMgLkdb2fPAfiQ8vdRTAPA7mpyOntrt4dpw+Z\n",
       "XIYade/JOOdQkPtB1lDYjTDBNZJfA/kzyLtA3Mw7ch51S1iQI0DmgIxDRWgeSBCel6Gunp3u3v8I\n",
       "5Ifu9cz8Bkv2Bfl38P4QOsW1c9v6qHEyLti2MUhCgohchRoqbe75DMbfyaGoYVHJsJjuIpjT9HPL\n",
       "HiAJSTCyK2oURyAfA7miyPVOAfkdaoAIyFcqL3qzIxu758sNb5Ix7nkNoyWXoBGi8Lxx5IyXQ7Td\n",
       "7NwXgTwK8p8Kn88uEcwrQIr0V8jNIHdS0w5Z2cJVyrudaKQkInQlcgbIY64RmwnyEwqGcMh094M+\n",
       "C/L+2L7tnbhF7jO4yiF9QB4AcUtFyU/QcEZ47nraIMmtIJ9z23qBPKyNVudxg0FW5yqM/Ia8vgBp\n",
       "c/uD4QiyF4gb7iPHod7UZOrXcJF9L/k1yFklXKJM40naQF5OFgNwv9Vr+QLVCORMJ4rnkhwdmIRa\n",
       "5vuDLAbpcNuvBjkxOO6z+l12vm9zv3WwXJP8BuRHsetHrk7Hx949BeJWnpAHYo3dRe67jXkRBWXf\n",
       "qPC63UYwv0KmJ9YZRXoXyEMg7y7xthHINSANDyc2FrneGRH9tf2Rs2P7T0IXVg+3vU/1BfLFE/T7\n",
       "lBdBHgQ5PuO+be5ZOhxkTzQDHyoXTLmdvP62zl07ouGJIvOqyka5h7YraFQau0RoWO56kK+nl0OO\n",
       "RcMKUcL5z4D8kULvc4pr7I5BLa204QRT0VDbQ65BmkGBNSXz0dDEWFeBNo/tf5LOyRBkgGskfxns\n",
       "/wTq/dZZMBMTKHZ2n2dU4b6a3PabIHel7LsENWwaPGxCIpDPoKG8lGxrOQL1lIMwn3wAjYpci3pL\n",
       "8yiYCUrO1N8f0HDiQhL7NeV6vUfn+z6o4eUMV/kVyKeD8s5DPdql7jdMMHAlQj38WSDhikXdRTDv\n",
       "AzmwyDFfAHkDDZ1XOO9vq9LZHfUEmvEab8c2cm1c2A9/Fsj3gvfzQfziHb9EuwR3cUJ6OInIqagn\n",
       "ejPqgHnnpGLBPAu1nIL+MvkiasUekX6qURw504lmwrqMcrB78P5U5BojQHZyFSpJZL7jKtqrIFcm\n",
       "CPdVaP/TISCztZGV2HAgiai/YF6LeshD0FDove6BOrr46RXfdgid/cwF+7ZREekuJHWB5O3/Fkhs\n",
       "6IL0U+NH1pG4wLuMcaJ2u/uu90+59pdB/gUy0r2fBvJssP9UkMvc621z++QraFRmJgVTpsle7lk4\n",
       "Gw19/h7t8miwYEp/kO/rZ0idrCQ8vinGE3Y/JALZHWS/5O+5sw/5ArSraWdnxIR9+leA3OR+r6Xk\n",
       "usx2cG3bT/KvLYPRPIekvtVqQrLyI6f8B4Ccj4ZfxmWfahRH2kienaWeZdjVWVfu900/sG5FUsG8\n",
       "2An9CtQL38eJVisMjO9iZCdSQ9YyXA3htGQVCIR3njNmrgUJlsCTDd2+x9Awb+gFRO63vRnt2/86\n",
       "6lHMRENykWsQP4oa6XUUTLkN9UxuQr3xNe7vNrosqmGUjoxEoxdPoN1PF5I35lcGol0N51MQ1ZQR\n",
       "aGTkMZBPuvq2FuSitJtVVEL3L0JXwHjMFbJOWYFGN6IBIVnZiZ4/CL6Jka21wZEvkTd8B5wxuCua\n",
       "NRsTZ+mLepK3uQbwBDTKkZSLUE/BPBrtgjiczsQqo+cgkfuN/+6MtayIQWK9K2atz6DiuU+NHkbK\n",
       "hAtdwgys3hlKverdDKzOGTnq2d4ZhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEY\n",
       "hmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYNcQmXzdKxSZfNxqBTb5uNIKK6l09l3RqAmQtyJRG\n",
       "l6JB1Hl5r1bA1vcsgQYvIG20KNWsh9kdkbOKLHhc6/v1AxGQ7et3z26FCWZNkd7OANus0SXp5phg\n",
       "Go0gsT70qncpasjWwHZ1vN9g998WNDZqwXigDxYGNIymoZkFcyAwsY73M8E0aslk998E06gTchrI\n",
       "uEaXoplpdsGcUMf7mWAatWQycDewt/VjGnXiNKCO3Vg9j2YXzBp5mNJX+5QyMcE0aslk4A7gTaBV\n",
       "E8mM+jIS2KrRhWhmmlkwB1G7kOzngWuLWPommEYtmQy8CNwF7N7gshitgQlmlTSzYA4ERoEMqMG1\n",
       "JgLvBT6UcYwJplFLvGDOA0Y1uCxGj0f6oU6GCWYVNLtgrqQ2/ZijgAuAb2QcY4Jp1BIvmKvI1S3D\n",
       "6CpGAguAPiBjih8ufwOZ1NWFajaaXTCfpTZh2VHAfcDwjGMGA6sxwTSqRvoBo4GXUcEc1NjyGC3A\n",
       "SGAJ8DhFvUyJgP2p7yiEpqBJBVMiVDCfoXaCOYfshmswGj4zwTSqZRLwMkTrMME06kMZgskItJ1r\n",
       "7+pCNRtNKpj0A9aiIlerkOxLet3UbNl2VDCtEhnV0gHMdq9NMI16MAoVzCeALYsc68cIW1dBjGYV\n",
       "zEHAG6jIVelhSoRWpsXumgNTDjQP06gVHZhgGl2GjAQ5ObbRe5jPAJsUuYAXTHMOYjSrYA5EG5oa\n",
       "CCbtwFqI3iS78TLBNGrFJDQ6AiaYRu3ZHvh1bFYfL5jPUnzcr3mYKTSzYL6BeoUjq7yW9y7BBNOo\n",
       "DyaYRgISgRxegwuNBtqATwTbvGAuBPqDZCU4bggsxzzMAppdMJeRndlaCqFgrsQE00hF2kBOqcGF\n",
       "NiBfMM2SNwAGAH+rwXyvo4CbgFODcepOMCNBvcyssOxkNDnIBDOGCWahh5nWeA0GXgXadCo9owUZ\n",
       "D/wCpNrnZhIw173OMtIAORDk7CrvZzQHvi2rdhWm0cC9wCJy4VfvYULxsOxkNDnIDLkYPUEwh1U5\n",
       "eXU5IdkVwOuY5dWqDEWX5Bpd+SWkDRiLjsGE4iHZHYEdKr+f0USMcP+3rfI6vk17ldwsUqFgPkeq\n",
       "hym90QjIE1g7V0CzCuYgYBVEa4G3qK4PqBzBXIkKpoVlWxP/u1czlGk8sMjVXSgumB1U309vNAde\n",
       "MGvhYb6KtmtJgpnlYY4DlrrzzcOM0ayC6T1MqD4sa4JplMpQ97+azOww4Qc661xqlGQSNtdsqzAc\n",
       "7Tus1sMcTbaHmSWYY9FcjRWYh1lAEwimtIPcAnIliG+oGiGY7Zhgtjq18DDDhB8geht4G52MI4kO\n",
       "TDBbhRHATGBgafO9pjKKPA9TegHDUM8RMkOyjHDHrcQEs4AmEEzGAZu5/zu6beZhGo3A/+7Vephz\n",
       "Y9tS6p30cvcaDNKninsazYEXq5lUF5aNh2SHASudcQbwGjAgJXlxONqmrsBCsgU0g2AOQccOPYqK\n",
       "JtRdMKUv0BtYgwlmKzMUrYvVeJjxkCykZ2ePRev3EqwfsxXwgvksOhayAqQ3OW/SC+YYNGPWEQk6\n",
       "zjKpHRuOeZipNINgtqMiNZ+aC6ZEaBJGMQ9zEGqhCSaYrcwQ4L9U52GOA16JbUurdx3oFHph8obR\n",
       "c/He3Xxg/QqvMQJ4zU3s7+tNkpH2Ork++aQyWB9mAs0imCvQjuixbpvLkgWq8zAPRYX3afc+reHy\n",
       "4VjQcIbLZpPzQSaDDAb5cYVlMJqHoahgVuNh+nBZiAmmATkPcwG5tq5cwvq12L2fRG7uYk+a4T8C\n",
       "C8mm0kyCWWMPU/oAPwTOcNYYlCaY84JyHA0chwrv6W6dQ6NHIJNB4lb+EOApYHwVkxf4hIyQtMkL\n",
       "fENngtn0yBdBjixykBfMajxMnyELuXrTQaGHmRWSXYauBtXLJmnJpxkEcwiFHmaFgim9QB4C6Q/s\n",
       "oteNbg4OKEUwXwHGuYo0BjgSOAaIsAVXexJfBD4W2zYU7Qt6nconLwj7zD3mYfZ8tqL4cBEvVtV4\n",
       "mKFBVmlIdqnrfjIvM0YzCGYt+zA3QLPP1nd/s2L7S/Uwx5MbrzQa2Ad4GG3gjJ7BKAoTL4aglvnL\n",
       "VBSWlb5o3V0e25FW7yajDZ0JZvMzDG03sqixhxm9AbwDbE5hSDbNw/QhWbDEnwLaGl2AEvAh2cX6\n",
       "WvpRuWBOc//HuL+Fsf1pDdcocpXIeZiMR5cXewBtPF+jasGUg4D9ITqjuusYNWAkhWMjh6DGmw/L\n",
       "P1zBNf0E2CFp9W4j4Hm03m5Q5r2M7sUw0tfa9YRjIEdrxmtnd1GpxPvIF6OCWW7SD1jiTwHN4mGu\n",
       "gOgdcqGKUDBfozLBXI+8VGsg29L33qi3/jZAPY2vAh9FLbjJCeeWiPQCfgC8p/JrGDVkJIW/51C0\n",
       "oVlCbhqzIsi2IIeCjCc5HAuJw0qkLyrK5mH2DIp4mNIbrQPLIXoLFa1Kwv7xOubFc17suGJ9mGAh\n",
       "2QKaQTB9HyaoWI2l8izZTdFZVcr1MDekUzCjtahIbwO8AtEqiJaigtlRYjmSOBgd6znZPTxGYxmJ\n",
       "9lUPCLb5kGw54yKvAs4Fvktywg8k17tJwDzXeJpgNj/DyQ7JDgNed44BqHNQSVh2fbSd9CwGXg4m\n",
       "LfAU6cMELCRbQDMIpu/DhFworJqQ7IPkPMwKBBPQsOyO5I+ne5HqBPPDaNbuEor3dRhdz0i0vnUE\n",
       "27yHuZSSPEwZ6875DFqHwgzGkKR658OxYILZExiGLtycNobbh2M9lSb+jCPfm1xMYf8lJHqY0hft\n",
       "hvD5GuZhxmgWwYx7mAmCWdISX9OAO8l5mKWGZDcEXgjez0OTh14Ots2mOsGcgM7w8TzZi7saXY4M\n",
       "QL39J+hM/JF+bttqSvcwdwHuQ3/TDckOycbr3cbk6pwJZlMjfYD+qFGdZgzHBbPSxJ8kwYz3X0KB\n",
       "hymfQdvE14I+9ibwMGVIwvCvLqPZBDPBw4zeBNaR2aEu54J8Dk1yepz0kGzCeDhpQ4eLhJXuFVeu\n",
       "0MOch050XOlYzLHoQ/I82lgajcOv7PACsCHIJnR6l5FQsofJrqhgznPHT6QyD3MJJpjNzFBy2dVp\n",
       "ghn2HUJFHqZEaPsYhmQfB/6TcHDgYUoEnAfsHytDMyT9nAL8ol43azbBfBHYGw0TvBEcM5/sNP8D\n",
       "0QrxP1Qk05J+VqNhk/B7maDnRGuCbd6CCwQzWoc+EBVkM0rkyrQAXUnABLOxeMGcBRyAepqHkRsO\n",
       "UqqHuStwr+uXmgNsT7JgJk1csBE5D9PVf6lmzuQGIsNBTmp0KRrIMDTv4RXSBXMk+WJViYc5DFij\n",
       "eRWe6GKIfplwbOhhDgX6AgeR7+U2Q0h2I2CfeuV9NINg+lR+gL+igjeIfMF8CG2M0lgfOBb4sTt/\n",
       "Q/Szr8w/LHoHeJN8bzXefwk5oYzPCfoilYVTR2pZojVYSLY7MIqcYB7sXh9Erh6W4GFKf2BrtM8c\n",
       "d60dKC8k6zzMSFBjbxrNyXnAjxpdiAYSCmaaYR+G4KGyPszxFGbDphH2Ya7n/h9Avmg3QUiWyah3\n",
       "Pr0eN2sGwQw8zOhtVPhOiWV9PUBu6S+H9NG+qE7v7UaIriK32sSihPFwUNh4pQnmUohWx7b/G9iv\n",
       "1A8WEIZRLCTbeEaiwjYT+AfwOTRc5QWzFA9zE2AORN4om4Va8mlZsoElL73IH8oEOoft5m5/sfF8\n",
       "3QjZG43wDG7hqSOHoUKU5WFuDjwZvH+J8qNV8f7LLEIPcwxap+Nh4WWUPHyqHOSTIEfV6GKTgTuo\n",
       "rN0tm24umBKRH5JF+yyj38YODASzM/nnbOD7aKVY42a9APUO1lHYf+kpRTCfcfeMcyOVjaP0/ZfQ\n",
       "mSBS8VylRvX4CQbmQHQwagi1kwvJltKH6WeC8vg6VIqHeQg6FCCMojjBlEOAu0r6FF2KDNQxpkX5\n",
       "CvB1tPujmkWRmxnvYWb1YW5BvmA+A0wtLZlRpoIcT/mC6T3MMcA9aDsbhmTnoMObas2ewOHVX0Z6\n",
       "oeX7LSaYgKY4v+PGPmYxE9gK5F3AE66v56PAFDQcuyB3aPQO+vDG+y89QeMlGwJHkF+RgegFiN6d\n",
       "Uo7h7rxyCAQzWoVW3C5qXGRLkLRFsg3F92E6ooVouMx7mCvQvu6sialDIwiyBXMJnYPUZRpwEXB8\n",
       "7Jin0IXU3wtsC9KgKISMB/k+ugj2vdl1STZAw9BXkstw72HIME0qzCQUzIT5pqUf6ik9m9sWLSY3\n",
       "ZrwYHwTOoiLBlAgNyc5Hu7ZCD3M2FWf+S6TtsXw7Yec4YI90Y0Ail2xZjPXRz3ETsFtyP6aMBDmx\n",
       "xEIXpbsLZth/mUG0Em3Q/uw23Iou9txBgWAC6l0W8TClL3AvcAHw99KKG72D/njlepnxxjWcaL6G\n",
       "yGDgdtQIMNKJCSagFrjzMLMyZeV4V3fKEczZwET3wJ8A/Aai+2PH+JDsAcDdwPtL/CxFkH4g+7g+\n",
       "11L4Oxq62xHtn90149gTgb+4rotKB+J3d6ZROEl/HC+YLwAbJwjFVODFWGIh6LKDm5ZQhj3RLoAd\n",
       "KFkwo7WoIA8gN2LgStTo98wGOkocshfnQ8AvgS+oUZHHeNRA7Eg593BgRglRtg70e1uGPldJM619\n",
       "ADintCIXp7sLZiwcm8n96AN8AOpZfgt118eSLJhpHuZSNOljPBrK/XlKX2catwF7Je+SM0A+n7Aj\n",
       "Hr4LJ5qvJZ9DxaCFJ0aQMSC3FDkoSTAvBf4ZvE+YHk+mAX9AhS1JMJ+NhVkd0WrUsh+HNnyPJ5Rp\n",
       "LmpA9ge+TU2MHhnjrns9JRl5EqEC8SWIZqFjmlPqOqCez6XudQ/1MFkfGFnEIxqOjm9cCrxFLsnG\n",
       "E++/9JQgmNIPFcrb0d+wVA8Tcok/bhKX6JcQXZPbHa1ARw5UMkXfpsAlaGh5o6C8fujLLcDuKedO\n",
       "BXZDl07MYjK5SRmeRMPacd6NGqMDEvaVTU8SzK8AR0M0Hw1d/Q71FreiUDAXJGzzzEXDJhPRjvdy\n",
       "mUV6Z/02wE4J26v0MKVPcStQRqOC+XOqWwC52ZkKHACSZZAkCGZ0B0TXBRuWUpj482n3f0MKftNo\n",
       "JURTM+75ItoAbIwOLYrRmSl7K5rk0AFyLcg2Gdcsxp6oofl/JDc2cUahRqTvy52BDvNKQIag9cx7\n",
       "LD3VwxyDLu2XJSrewwT9beNZ8PH+S08pHuYO7rjr0KEh5QimT/xJmsTFM5s8T1AikD+AnA+S1Y5M\n",
       "QNvPeBLjCFSEbwH2SDl3PHA58L0ihshk9LmBRMGUfuhKUvOpUSJlDxLMaEnuQY5edg3MbHS2lbg4\n",
       "ngX8PuVCvqO7UsF8ifR1MTckeWhAXDBL9DBlFMifUO/k5CIHfw/9zDNobcH0v02adQvJHmacmIcp\n",
       "o9EM7stJFMyivOjOC4aTFHAjcIULp22BeqLF+s+y8DMRpVnnccIGCnfu9JSs3a30up2rbfRkDxOy\n",
       "+xqLCeaWaMg9ztOogZfFnmhS2gz3vgoPM5HZ5Ic6NwDehbYhn8i49gS0zzYumOPRbOG7SX8Gx6Nz\n",
       "MK+kMzM8kbhgxo/dHTUyH6RGQ/W6u2CGE69XwmzUAosJZjQXotcSjgf1MDegcsGcj874k5QQsiEw\n",
       "JaFzugIPUyaiM3jMRw2Ad2UcuyMamjibitdy7DFMRCMP1Qpm4GHKbqgndT7a11mJYM5C+wNXQpTS\n",
       "bx+dDdEN7vVidO7h3UHiIb4Ysn9KBMIL5hNoo12MDvLmJY1WAY+568SZ7vZ5epiHKac6D8YLZYWC\n",
       "Kb3RunhfwnlPA5uBXALixEm+7xKvIpBPo1GjG1HB+BNd7mEyHU0O+iXpHiLkC2YQkmUcKpiPAxuA\n",
       "JE0A74+5n+SIHC7Eui2ZHiYHoTklz6LddFXT3QUznHi9EmajkxCkhV+TmENVghmtc/eLeYgyGP08\n",
       "iygIcRRMZ1WKh3kEcJdbO/NKdLaLtN/zKOBXriFudcHcAE1cSRHMznG7aQ2IJ0z6+QrwbRU0ZqEN\n",
       "RCUe5oEkhmPTiFai/Y/HpB8j/dHw1zYJ27dCre9n0BBvscSfuIcJOsQlqeHcGng0eN+DPExpQ7s2\n",
       "tkCNgFVU7mFuh656lCR0s9HvbBfgVBVKvoSGGTdGh+scANFtmnAYHV/CiIKQ5ahgZnmY8UUlpqO/\n",
       "63+AbZLrjERoG/MKyR7mPDeOfibq0MTxEzCkCKa0owbG06h3jXu9ccxR2Qft220pwazGw/QPdzmC\n",
       "OZfqQrKQHJb1jc1T5IdltwIW509n1TlnbhZT6Owfil5CK39a+GIXNOMXVAiGt/Ag8omoYE4heeWI\n",
       "Sej6q8sS9oWEkxdsiT6YoIK5NSAuaaJUXnT3LkMwAU0yOiGjD3sy2sd2cGz7tsDTbnm6tWi5i/WX\n",
       "hUkWnphgyk5uyItvWD09ycPcCOiDCsEY1EPP+mxZgnkgatAkEL2NGkM7uvt8A1iLGj/bowbzY8nn\n",
       "lsQj6DCl/uTGGMeZTX5IdmvgMWes/ZeCCWMATXJa6+q/ywzuxIdkIVEQpQ3tD16QvB/Q+rYc+GAu\n",
       "szh6E3V23HcrQ9Fw9oMkh8EroqcL5mz3vxzBnIdWzg2prWD6CRDiU5ydTuHkwaVY41PIG7fFv1CL\n",
       "KkAiZ3FNp3OihWgdXZeF22DkbJBiU2RNRK3eB9FMvDjxhj4N52HKEPQB98bZHPe+HO+S4Py0/ss0\n",
       "bke9hKSwKGjjvgx4X2z7nuSMKNBGv1g/ZgeFHuY9wI6aeAZoqO46NPHuieC4BcCYCocodDc2c/83\n",
       "QYXSL+iQRlwww6ElB6KJXClEV7vI0FXAaegwt21Qz+yhyorfye/Qfve0Wc8gOSTrn4+70HoUx4dj\n",
       "QcVxeDBeNxwr+h9g59i5btah6C30e50MsqkOfepke+C+hDI/Sk7AdwcedIKa4WFKLx1HmzmmupMa\n",
       "CqZEbthEGQ+EfM1ZpG0gv05I/Z1IeTH5OLMBIXk6shSit9CHezO6XDBlLDqry29ixy4A1kseiNvJ\n",
       "VPIF8w5g39xb2Rq1IHcCno95Oz0oLCtjQLwFfBTZfZOgIdmXSM/wLFUwZ6O/4+bAU7nkluhNtJEo\n",
       "VzBfRmegKtPDjNahWa6fSzlgY+AKYKNcZrBE6BjJK4LjnqR4P2ZCSDby4wu31YaN9VGhfCWYFhDX\n",
       "cK2i5KnWpF8J4/AaxTS0TfGC+Ripgin9UY/L9YlHy9F5sJ8HeRn19P+dfG4el6PG2E/ICeaDmWcU\n",
       "JXoF9W6zuh9eQIfNbOK8tvXIGXX/JnlYURCdi94h100BiR5mnmYEghq9hT6LDwOXBselffYb0PYU\n",
       "9Nme4V7PR8fWf5jCCT8mo6FttzhAYp9qJ7WskJPRSZYng2wB8pPsw2UYGmL4BroSxKkUxrOrtaJm\n",
       "AecnrDZejLlo6KMMoc2jmGBuDzIJfQguduOzAqK3UA8mJVVdBqEp/nODjfeSX/k+jlpVF1KYUNCD\n",
       "BJPPA+c6D2djMtPHZRA6UHsx+jDtk3BQqYL5b7Th2oPCIQGzKC+qgaujz6P1o1wuAfZLSfPfGO3f\n",
       "uZlcY7In8A6aqegpkvgjvVBjI2ltRe9pHIsukPBRCmcqgpLCsjIG5Ab02Stl0H4j2AydY3g6+j2+\n",
       "QLqHuQNqUIXzTp8EHI3Wv4OSx+bGie4Fprphc2+gntnM7HNK4meocKXd903g1+hzti35mc93ajkK\n",
       "HJ3QwwQ1ArdyrwPBjF5G29kw5BsKKuj0poeiQ2Y6XPuWJZj7uqztvVz5cJ7oL9F6+ePYOVuhxu+Z\n",
       "IL8BLku4bsmUMWBfjgURkCNAvgCyInsMjZwG8g+QV0H+B/IsyFeC/W0gK4spftcgfwYpNzQWnv9+\n",
       "kNjsQHIDyMFaueRykDUgP0/3IuVRUufqlOkgsUZaIvddjtcEI1kG8j73m5wYO/bHIF8s90OVeXw1\n",
       "lFPv7gJ5AmSK+6w3ZBy7qdYzcB7MisL6JbPVmi7p3jeCvETBZBRyCcj5JX+E3HlV1HW5jM5Myrzt\n",
       "N7l6cDDIPW7bn0E+GzuuAyS++o7fNw3kdJCUxBA5EOQ1V+eS+rT8cdeBZCQoAcj3QH5PbimzetW7\n",
       "curcTPeMv6PthEwHSZpsApCvgvy0NkXsvOY/QMrt667mfmPcbzsf5KOxfXfr75+37VyQbwbvPwBy\n",
       "r2v7lqKRNb/vr+r5db7/JEjCcmRyOcjJahTKItKn1bvd1e9ZFCQkyVCQ5eQtkyffBPkOOqb5CnJ5\n",
       "DYn1oZYe5o5onN4Pzh9M9pIrJ6Pez8Xo3K1nkT/N1qZoWCetM7ormUPl4VjI8zBld5BL0c82Sy3N\n",
       "6FhgMESfCqy1OFlDS+L9lzgr6kHU+joGuBOifwCfRS2vkBI8TOkD8ieQGSCfyj62UUhftL5tjCYj\n",
       "zCZ7gHIYKlqD9usGIVwZjoYMXyg4M5kb0O8x7mHeQC4JqAyqqus3oUOH4vhxnf9Ew7IfREP3cUt6\n",
       "Dhq2ii1ULeujs1dtg0aQEohuQcOUp5AdJvwnmTMKyWB3jW+VkHTVIKQX2h3yL3QpQD/NZpqHuQe1\n",
       "nyx/JtX3X5ZBtBDNzj02YeGLW9B+2JC4h3kNGsq9AbjNecmeeD9o3MP0zEDDrM67TO1zvRZ9Dt7r\n",
       "vOGdbJUAACAASURBVOPwcyzX++dN/L4V2lf6foiOSh/SVRrlWF33gPzMeVKzQW4F+ULsmEHOsj8X\n",
       "5L+oFzkEnRB8HMjinOUgJ2qD3QjkIyDxilHO+d4iuwzkZRUcOSjdKkq8xsUgp8W2jUX7fb+tlnjB\n",
       "Od9y1tJ/1KtIvfbh6nmk7o9AfuUs2X2d19ANPUzZCeQRkCedVXkhyJukRjbkI8548e+/AfJH93kP\n",
       "B7kKpIzGTTZEvdpukEAlI0Fez7eqpQ2NZLiMaPkxyLp8iz7vGv8GCVZ9kMhZ7DWai1MmoVGQPu77\n",
       "jhns8kmQv8VPqs29ixeuxMMmgzijSx7X8kobyFsURIukN+p5FxknW3ZRR+t32R2QnSjwruV2dCGM\n",
       "cNtpIC9QGNHZCuSZ4P1lIAmTsMhUkHlOZ76aUZ6+2d+NfMDVc1f35Dl0SsuCA9OvkXH1Eg/rA7IK\n",
       "7bt8HXW7jyEvLCkRyFOuYj2oP3rBdWaDfNw1+peCnF5JoatH2qhqzUHp5R6mc0geulDKNU4GuTZ4\n",
       "vynIi04g3iZxBXs5GA1FvJwuGqBlktco8CY69+/i7hWWvTsK5ukgv3CitxIdTD6H1NVi5CKQrwfv\n",
       "R4Lcj4Z0n3Z1r6PMopZpCHUlch/IAcH7DfX76Hy/CcgF6eWVC8gLL8uH3bNaw9Xs5UknMmvd73GS\n",
       "+90i98zsGz+hdvfOLlgJh6znxOBi9/5qkAvd61fRuXnD4/fUetWTkd6ooxMM55DlIPF5liMS53OV\n",
       "Xqhz4fq25YGEOuDPfwh1GEpZySStvP2d6F7unv83Uq7XpYK5nXsQIieW/0S9oaWBkk93jXkbqdlv\n",
       "8ge0T+gK1HLPmkmihyPtriKtBzIRZK5rXHqDnKnbCs5Z331vJUyXJn9EZwpJ2ncRyJfjG8v+CJVT\n",
       "SuPVD+1DPB7ki+5z7wVyGwXWLYDsALJAH5K87YP0e5DBhec0G/J1kGtyAieHgPyrjPM/CuJCtTIU\n",
       "tegz+iQrKuMPXAM7FY1G3QSyBLX8ZyW0Dd1JMG8G+Unw/Z4D8iX3+knyjZVvuc95Qu2L2t2Qr4C4\n",
       "eZblJK2DZZ1/PciRaF/5fHJDlLoIGYBGk54DeTjtoIquXMIhZzphPNO9v10rC6ChQdf/Jd9D19HL\n",
       "utbwXMMlu6ULa6sgl6Kh2ecpCG+nnnM9JXlJsj/qrTrrSgaA/EYfellGXse8HlBGwaulyL1kC9cY\n",
       "3YmGpw5wgjkGDSV/Cg3/uXX15Gj3cKSEInsKMkgFUi53BsIcFaKSz98BxGUIy8/UcKp5GUeBxCbY\n",
       "kHPQUPo3kk6ofRkSKaXOzSNvvJ70DsTzKNTL/JwaGTKf1AhOT0P6oUmbJ7v6V0adA/e8znB17gdd\n",
       "UsTCe/ZCI5nfSjugoqsW2b01arUHq3PIvnSOdZGNQBa6L3IW1a2s0ILIru4hPbILrt0b7Wd+yRkz\n",
       "16Pe2Wv6uvCE2pchvXBFdl9DfuhwFNonHqlhIQvQvrs73fa70D6zbhI67UpkoGt4Xk0RoKxzB6De\n",
       "3rloJmKdGnwZioZjk1b5qaNgygEURiAiNNpzMXnh/MRLdKCe5lJawrMMkR1AHnPtR6lrq/pze7v2\n",
       "R0CKTTZfL2opmLIXGga7g6IZlLI7mjxyV2s0WLWmq78z2doJ5i/UepaOBjdc7l7xB0fanOH1SbSP\n",
       "NmV9O9kK5DzXCJ+IDqlowXpX6WeWTdE+nmKr39SLegrmUucZOg9JJqBh2NUgr5CYd1FwmWEgn6El\n",
       "o2PSi4oT4GQwyIdqW56qSKx3xR4qAfkLmo7/KjoA/i10sulr0UHIR5Y54a/RnAjF60sN7yWL0IH1\n",
       "16MzxHwMHbz8OvAHiP5Sp7IYjaVe9U7US6I38Ed0qMgW6Mw6361g8hOjuUmsd6UI5gnoGK1x6PjK\n",
       "CcB3IHqk5kU0ujP1Fsx2dLaYvYE2dDaSn2SMWzV6JnUUTH8faUfn3r25cBYuo0WoSDBnkDxXoNF6\n",
       "3Eny3KtdwQys3hlKverdDKzOGTnq2d4ZhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEY\n",
       "hmEYhmEYhmEYhmEYhmEYhmEYhmEYhmEYRqnYXLJGqdhcskYjsLlkjUZQUb2r5xqIRvemGy0gbbQQ\n",
       "dVwP0zA6SawPLbjIqWEYhmGUjwmmYRiGYZSACaZh1BS5DGRoo0thGNnIto0uQU/E4vqGx/owS0KW\n",
       "gUxtdCl6ENaHWXNkIMg6kN6NLkk3xvowDaNrkQgYAgxodEkMI4OhaNs/pNEFaTZMMMtCTgJpa3Qp\n",
       "jG7LIPSZMsE0ujNeKIc3tBRNiAlmeVwArN/oQhjdFt8QmWAa3RlfT4c1tBRNiAlmyUhv1IMY3OiS\n",
       "GN0Wn+wzsHaXlDaQQbW7nmF01lPzMMvEBLN0Bsf+G0Yc3xBV4WHK9iDhjDNHo5ENw6gV5mFWiPXH\n",
       "lY6vZCaYRhq1CMkeDGyPTs0FMA4YVU2hDCOGN+xMMMvEPMzSMcE0ilGBhymfADkx2NAO7AXS170f\n",
       "hWUzGrXFkn4qxASzdEwwjWJUEpL9GPBzkK3c+3a0r3xH994E06g1Q4F1mIdZNiaYpWOCaRSjzJCs\n",
       "jAUmAGcAP3UbBwMvAfu79yaYRq0ZAryCCWbZmGCWjgmmUQxvuZeaJXsA8C90aamJbls7cC0mmEbX\n",
       "MQSYg4Vky6aJBFNGNXgqJxNMoxhDgFcpPSR7IHALsJxcOLcdFdHpbuYgE0yj1gxFBdM8zDJpEsGU\n",
       "CLgb2LOBhTDBNIoxFFhA6YK5H3AbhYL5MvAO2qCNBPqB9KttUY0WxjzMCmmWYSU7AVOBEQ0swxBg\n",
       "GSaYRjplCKYMRevUi25DbyeK7cAKYC7Q4a653G1fU+sCGy2JeZgV0iQeJh9GLe5GhqaGAPMwwTTS\n",
       "GQIspDQPczIwCyLRv04v0wvmS8DWbvsyLCxr1I4hqEFmglkmTSCY0hc4CriexjYa7ahgtjewDEZd\n",
       "kQEg25VxQjkh2cnkvEsoFMy5wLbAEuB1TDCN2mEh2QppAsFkEtpgPIF5mEZ9OQf4QxnHDwHmU1qW\n",
       "7IbArOD9crQBGwCsQj3MbYDFmGAatcUbdr1A+je6MM1EMwjmcGApjW80fGNogtkSyHbopAJDix0Z\n",
       "MJTEkKyM0CzvPOIe5uvAWGAVRO+ggjkdE0yjpkgvtA1bAbxGefW75WkWwVxGfiZhIzAPs7U4AZ30\n",
       "vByhSgjJypfRQeLfjx2b5GFOQBsy0JDsYLpcMGVk11zX6KYMBt6AaB0qmBaWLYNmEsxGW9kmmK3F\n",
       "cOAZYGBp43+lD9AP7XMMPcyTge+hYhiyIYV9mKFgvuT+e8Hsgr5zmQA8WvvrGt0H2QDkVJDD3IYh\n",
       "aF0DbVct8acMmkEwh6GWkAmmUU+GoV0BKyit3g1B6+gbdAqmRMB4dOWRsblDpRfaN58kmCvd+5fd\n",
       "/670MEfoPTsnejd6HqcBHwH+5H7noWh9AvMwy6YZBLOGHqb0A/l7hQ2ECWZrUa6h5sdLBoJJOyCo\n",
       "p+oEU84BvqHHRquC82MeZvQmsIiuzZL11xybeZTRzIwCLgVeQPvEvWEHJphl02KCyZHAIZS9vqBE\n",
       "7t6uf6qhU/QZ9cELZql95z7UtZpclux41Mh6FRjuwrbvAb5CvncJhSFZ0H7MrvQw/TXHd8G1je7B\n",
       "SNToug/YhfyQ7FJMMMuiGQRzGLUTzE+hEyCUm+gwAHgLojWoB1Hq5NpG81KGhykRuvDzq6hgeg9z\n",
       "PPCKS7B4FRiDZse+m8IkoOXu+FAwv4SGc7tKMH2/qAlmzyUumGFI1gSzTJpharzh1KQPU7YF1kcr\n",
       "TrmCOYRcQ7aCXFq20XMpx8P8MnAE8H5gLdDmohDjUA8TdEjSpmhi0J1udp+Q5ajQBvUqukP/i3mY\n",
       "RqV4wXwZOBsVSZ9Qtgz77cuiWQQz8DAlSmhsSmEH4Fa0ApUrmO3krLKVWD9mD0faUPFaSWmCuS3w\n",
       "PYhcmFW8l+k8TECFc1fgxZT668NkSYZYVwqmYI1mTyYUzHbgIMDPXrUU2FJfSgdEs+teuiajiUKy\n",
       "0dvo5NOVhkMnodNBLaHsPsy8jnITzJ6PS+CJhNLEKuwXglxYdhw5wZxPp2Am4utXPQWz3ZXHBLNH\n",
       "IhGdghkJ8F3gCIiWuQOWkQvJPgKySQMK2VQ0g2D6kCxU13BsQC6JopKQbCiYNp9s0yOfBUkTCh+O\n",
       "hdI8zLBfCHL93D7pB1QwdyF/soKQRnmYT2OC2VMZCAhEb+jb6McQPRLsXwqM0DmTGQZsX/cSNhnN\n",
       "IpjeIqqm4Qg9zHIFcxRaucA8zJ7CKcDeKfvKFczQoIJ0DzNcziuOF8yVCfu6UjD/hwlmT8WHY9Pw\n",
       "ST9j3HsTzCJ0c8GUXuhDXUsPsxLBnEBuILkJZs9gDLBZyr5h5ASsmpBs3MOE4oJZ75Cs8zAl6oLr\n",
       "G42lmGAuQyevGIOOHjDBLEI3F0za0XkP33bvK2w4pA0dnP0KnX2Y0gvkQyCXgtwEcmTGBUwwexTS\n",
       "hjYm01IOqDYkuxoYhDZEXii9cKaFZFeijVaSYK4C+rtxnLXET8axFhte0BMpxcP0gnkfsI2NMc+m\n",
       "uwtm2H8JZQmmjAaZ5N6MAxZBtJach7k/8C20otwGfDHjYuPJF8yumNdzh4QVLYyuYRQQke1hlhjV\n",
       "kF6oOIZCtxqNaCxzdQ5ywjk7+TqdCUYJghm9g47jXC+9HBXhQ8mvYGHZJkVOBvkVyKEJO4sIZrQa\n",
       "zZLuQCMNi4AptS9jz6G7C6aftMCznNI9zFPRKcggF46FnGBuBtwI0a+B84FJIBulXCv0ML1VVmu+\n",
       "CRzeBdc1ChkDPIv+5v0S9pfjYbaTW5LLsxrY2d3DMx/4MkRJfZSe5aSP711ARVPYSQRyM8ighJ1+\n",
       "sepXUKPSaCqkL/BD9+YTCQcU8zBB29dp6LJ0D2Fh2Uy6u2CGCT+g1nCpS3xNcn/+9Rz32mfJboom\n",
       "POBCvlcCx6RcKxTMheQ6yWvJCGDjLriuUcgY9PecAySl0pcjmPH+S9As2QOBu3KbonUQ/ZBsvo3O\n",
       "O5vEfHTijXIZ5sqS5E17D3M+Np9sM3Ig2oZdBIxO2F+KYC4lJ5hPkt5NYdAcgllhSJYNyAlm6GEu\n",
       "QxvAzdEwhOev6FyzDolAPu5CbuGMLQuprOEqhglm/VgP/R2fIllIygjJFvRfgnqYU8kTzFKIfhub\n",
       "kD3k/9s773CpqqsPv4delA6CSBEpAoqoFBMssXcTUzT2mmIs0Viixs+oMUWN0S8xauyJms8YS2LD\n",
       "FsXYsMWGCggWujRFsRDA9f2x1pk5c+acaffO3OHe9T4PD3NP3XNmn/3ba+21167Qwsy8A5sl7HPB\n",
       "rDnSmPEPBwP/R7q7vlwL8x102TknhXVBMOMWZqmCOQgYaIIXEcxgrV1nHLmC+RwwHCRMjLABcCUw\n",
       "AfjIVo8AbbiqZWH6xOHasAFZwUzqUZdrYSYJpgDPNKyYOVRqYQ60/2OCKQFZl6wLZk2QccDMFPd4\n",
       "uddqD+yNesaWAL0TIp1LtTDDDuS7uGAWpN4FMz6GWaJLVgK0oViDVoZNyA22WAasJms1YsEZM8g2\n",
       "LIPt/4PJumOhKi5ZCdDOwSYm8E51CQVzOsUFM5KSMZFwWa8onwOvQhDf3hAaYmHOId/C7ACstXrv\n",
       "glkbBqHP+YRGuFY/NKhsiQXv/Jd8Y6JUwYSshblxI5St2VLvjXM/tKEImUE2D2IheqIVaDpaSccC\n",
       "r0b2L9N9eTk9XwW2sM+DUSvhAKoumKyHpv37GG+4akEfNCLwbYqOYQar0OkeHVKulWRhrgSeaoRy\n",
       "RqnUwhwE3E++YEbL7YJZG/oCU4BTQRoaaR/W4ZDF5I9jluqSBW3XFgOdQKox57dZUO+CGfaOQ55E\n",
       "3azF3AYD0YCO99FoRchmXIGMYOYRFcxBwGNkA0RCLMqxkrEI6ZpSGXugPb1Z+DhmLQgtzLeBoQnW\n",
       "Y9TChMJu2aSgn8vRlSEakyIWpmyUYgUPRN+b9UGi0d2hOxZcMGtFKJiz0E58Q+iDumJDksYx+6H1\n",
       "vBDLUW/bh2ZAuJVZgHVBMN/P/hmsAe5Gl1Iqdt4c+/cN4OWYNbmU4oI5GLgX7YVHBDMQKg/8+Rnw\n",
       "h4TtLpi1xcZsguWo2z7eM+9KfrBZt5RrJQT9BEshKNazL5diFuYD6NziOOE79AYa6BaSYGF6tp8q\n",
       "0xft+KR5NsqhiIUp/dFsU2mZpUKWo+9C2D564E8B6l0wQ0sxyt+Bg0FGFXjBoxbm9sDLsf2/Bq5P\n",
       "OM8EU1qhDc1s4N/kTzav1C07Ejgw1tOHRhdMaWPZbFoA0kktdwCZCJImbFFCCxPyGi9pjTY8SyPH\n",
       "Pw0cpIEWsmfsWkku2WqwCOibXOclQBu5SQnnhYL5GrnDGZFyByuBtZQ+ZcupjA3ICmZD3/O4YMYt\n",
       "zO2Ap0tYCvFDcq3QOgz8kVEglzR1KaCuBVM6oIEwi2I7pqBzj6YAh6WcHDYSc9DvGBPMYDoECa6K\n",
       "YBnqXhts/94HDgFujx1YqWCOAF4HjohtDwWzMXqeABcAFzXCddYFTkWXLQK4FPUoFEACchub+DMf\n",
       "ACzNrvAAaEaoE9B6cG8kkhqSg36qQPAZOi6f1CHogWYbiglm5h1aiI5jRp9N1CUL7patBaGFOYuq\n",
       "W5hsS2nTmsK2NKQeLcztgH2buhBQ14LJQGBeLIMK6pYNDgbOBnaz+ZLXxgbRw2kkoXUatzAL8Qzq\n",
       "2jLRDT6O5LINqWBqibS1cp2BrpQRJZw+kxa1SZnusrHAMY0Tvl73TCKbzmsIuW7HJLqh+YlX2d/x\n",
       "xmsYKqIRgneBm+zcN8kdf6qVhQkZKzOPQcBcYGIsF+gAsu/Qw6j3JDw/Xm4XzOrTl+zYeTUEM25h\n",
       "lhB4FrwCwWmRDRUIZtXzz44GBtTDkEETC6YMjfXWoyS5Y6M8iVaKUcCx6Kr3mDt1c/SHfwcdf5xV\n",
       "RqFuQ62JVSqWiVRiYQ5BA4+eALrrd88QWpgz9Dhpl3D+8SC3llhpRqLfOy1zUTNBWgET0WfWCW3w\n",
       "iwnm5qirPSTuHhtObkq7kNOBHdEO1fjI9hpZmEC6qA1CO4ULyI2GjQTNBV+g45z727OqQDAlAPlb\n",
       "CUF3Th4SkB0KsKGXBglAkkvWLEzphrY3/6ngurMpS8wlAGaBDK7gXqUyGl3bs8kXCKiSYMoYkCtK\n",
       "OPBm4MyUfbGAnzxmoqH+J6HTP8Jgne+gDcFLtrL4wHwrtSCTKS7WlQT9DAdmWFkmA9GxMBPM4AvU\n",
       "UkiqsJPQ73Zw4dtIZyvbmcBxZZZxXWM4GrW8ESp6n1FcML8B3BP5O97bT7AwQX+34EvgBWC8RTwP\n",
       "o7YW5jzgdpDbYtsHo/X1GeCrke1bosE+IX8HLkMF/peU75KdgE6z2r7cgjt0Bz7XOZPBCrSuNiRj\n",
       "WCEL82TgUQhWV3DdWehyb2mGTJzN0PpXRtSvtAe5EOS+Ek8Yjc5sGFD6PapDIwqmtAd5yjJQ7IAG\n",
       "txToQUl7VOS+l2JRxaeUxAgEdTkcC9wBjDG354XAmdnB7qKD3vHrfgHcReqqEkBlFuYIspbLA8Be\n",
       "kX2hhQn50Ywhm6ECeJmNTRW6zyxUlHuDJFRkOQTk9+UUvk75CuppWIguBv00+p1T5rhJgCa4vzuy\n",
       "0QQz41ZKszBDTDC5DB3TrKWFeRJq5e4dc7eHncsnyI2U3d62hdwDjEF764cBN0b2lSKYP0A7dA2d\n",
       "EtESCccvQxoa4Jc0raQ3yI7owhNJydhLIFiNvhOl5pTdGTVYinVUo1yCZlrbFqRIOyo90Wjf58lm\n",
       "rWoyGtPCHIdaQWNQt1cvCi8ZtCXqgnwL2D9hfzErD7SxXAFcgYrvnugyXv8qq+T5XGzXTGMRqd9N\n",
       "1ktxT5iFCcAjwKRIL66IYEo79OW6FY3kTVrKJ2Qk8KalALwROCZ2rWHo6iyH1mDsodpsA0xFXe+7\n",
       "oC/6dDL5YWV/dM3TsJ6PRaNBX89eIvgIdWVubhtSLMwMb6K//d5kF6GukYUZLIfgdeAltFMaMgjt\n",
       "4N0P7GKRw63RwI9/R87/EoKZ2igG90PwZuQaM8k+A0O2BPm1WdM90ff0LPTdTUHG25QGJ5e4YDZg\n",
       "HFNaoe7XqGAuRi2wm4CjIFiYcGKpTKN0AdwFrXfxNqsvyBb5h0uAtl+nAI+jgluI0eg7N4fmZWFm\n",
       "3DTjUNH8kIIvFtuga1FeAZyekBKumEsW1LI8BR2/GYW6K28tr9hJBNOLiO6rQA+QpDHCE8jtuYdE\n",
       "LMxgBdrohdZAD7IZN94gPyH4cDQA6Qu79tEFyjaSzCos3IhOwekY2f871B23iFRLQdYzl0kdT02R\n",
       "zdEX7wl03OVrqHDa85PWaMfgNOA+e1EPBe5M8DpMAXaIBGalLfKMBYA9h0bm3opaa7VyyYY8BOwe\n",
       "+XswWj+Woks07YaK3wfJ0eCJPApsE5miszfqpdgGzal8HdoYPwSMTU7hKHuhAn1peV8n7zq9QDYr\n",
       "4klZ10gSzE0rvFY3dEm5VZFtS9F25CEIHqrwuiHTSE7WH0PaonEkV5AvsKcDUxLGu8PvPB01HHYr\n",
       "cpPR6Ds9lzoQzGKU4c6Uyei6ezeCrAS5CuTcAsffBnK4vnjyIsiBkX3tQZaAlPGAZDbIquImfmMh\n",
       "Y62MI7X3Lb+w7/I8yOfkrLMobUCWRyIUATkJ5Cb7/GrWdSpjQKI9f0AOAvm7fe5o17oWJCKc0sF6\n",
       "93fGnuWDIIfa524gH6vLUq4ASVk0W/YBEZDzoxtLfTKNQJF7ycYgi/W5AMhZVt5vgpwJcql9h+dU\n",
       "OOU1kBNBliVbP3IQyN0gw7UeFS1eJxVgGWv3rXE0smwNEkm8IctBwoCP40H+YvXrT2Ve975sJ1Du\n",
       "0volnUDeAnkhW6dlLnlrx0pXkA9BdgVZSk5Qm2xkZSqhgy7HWR19U3+PmtW7Mu8TzveVriCnlHD8\n",
       "KSCXR/7eDeSJ9OMLXmsESMKwgfyCTIenIcjXQR4o4bhJIK9YHfmcnA62zAS5DuQ/qLCG208Budo+\n",
       "DwVZQOGhuyvsnMNBbqns+1RERfWuxJOkDcgKkD3s5X0f5ABthFLPec9eCEB2tHOOAemBjrE9XGZR\n",
       "7wJ5tLxzGop83yrMAyBfgPzEGotXQLaNHLeDVpycczeyBrytNUDmn5cOdq1I71p+CfLzyN/f1L/l\n",
       "vWxlkxNB1oCsBRkTO9bccnIoiAW8yP4gk1O+1yUgV4IsArkJnaxfT4J5KchvIn8fYMI1FmQrtCMz\n",
       "nUyHQnaz/b9Kud6G9lucBvLPMooZ2L1rHO4urUDmgPwWZAuQTyP1YEOQj6wBKzNKWr4H8n/2Dq7I\n",
       "Nr6yIUivyHH3gsSybcnh2WcnvwC5JrLvV/b8k4ZeotfYHWQhuWJch4IpvUA+sWf/XftuI4qccwlI\n",
       "JMBRuqKGRdv0cxKvMwJkJ5DGzlUcvccm2h4XPe4CEJvvLe9E2vPhIPOtnj4K8iN7N3+FdrxsPrAE\n",
       "qKFTYExcXkKFeUcq7mBURLUEUwJrkKahluEqe6GGaYOeeM5IezEiDY0cAfIPVGxezD7Ukou6P8ge\n",
       "5Z3TUCQAuQPkGdSiWYta2JeC/Cxy3G9Bzks4fyraI/+UnNy08iC51uM9CQ1UADLLKmKAWqm7g+wS\n",
       "e65t7VmPQjsVljRBeqA9+YSFZ+UFkO1BBqI9/oOoXcNF4XtJJ7RTMjiybZw1WmEDPwqdghOx/OQE\n",
       "Cva+ZaZdd5P0Y+oJ6Yt6GWaT11GUTqjIlTnkIn1Rsb0LJJ6sI3rcBeRlXpH7QSyCW3qiHoDN0Q7g\n",
       "YpCfWr1K6VxIYO9+fIJ6PQrmudbOnW2/wQJ95zP7R5ATeCad0E7xxNh1poGUsphEePymaEfobf2N\n",
       "qoW0sjbJ8l5LYG1BLOZBngPZyT7fS6ZDJD8h492QsSAfoJ3v31s9iT6bC0F+l1KOLminoj1qjaYM\n",
       "lcj6IL8pXN9le8pz8VdDMKU1yGMg80C+b9teQC2iVtYgJ/jp5X/1QeVtD0AuQ63NOh4/iyJtrFEI\n",
       "rKHZEWQ/cixkmZn8YsiJqBvrs9yGRHZC3WCtrDIsIWOB5pxvQizjtDKlVRi5wH6jleSk5ZML7KWN\n",
       "THjOVNJ45aqxYCaOkW0Ecjl5VqB0AXm8gbc8CmS7hl2jOSBboV6FbQscMxTtXPQD6Y2ON66INYTH\n",
       "oR3Jq9AOYCuQ11EvUkfUmt0XZGcTgu1AZiT87nUmmNLJBOAkdFbAbHvfl1g7sKe1eytBfmDn/BTk\n",
       "zoRrXQsSWepL2qLWWGzWgOwDcjHIyyCnosM+V1b2NUtF7kO9DSfa912BiqLFQ0hP2xa66S+0etMJ\n",
       "7bzvE7nWueR1+DP7htr12+r3likglsFN9si+19IB7aQktQsXoR3mlGxAMhH1vt2e3kbmn1TicfGT\n",
       "pECGBTkR5N+5hZDjQCxFlxxjDbWJpnQ2AViWLACg91rXl5eR7vbSfBPkWNQ9kZIDVAaQN1YrAWpl\n",
       "H46Oz6UEMsm2qFC+BHJ2gfK0RsdGY8FEEqCC+yY6LnYa2tlJEp9aC+YbIJHQdtkcbaRvIuP6cZoO\n",
       "ucjq3TJ7x2+I7W+NjlteRmY8Uza1xvEtNN5hMsi/UAt0hrYn+Teq+lcp+T7SFxXJ66wBX4laTmFC\n",
       "h7tR629PE4LFJnTLSHTZylFoJ/swq9+Xo67eG+29v8feyyUmSD+3e62HRi1XEekIcj3Iw1a2tiA3\n",
       "W1txNCrs90aO74rGCswC+XMZwoRpyA/tWT1t33co6sK9IHLcPJD/QaO3bQqUjLZ24Scgj8WuG4AM\n",
       "sbbkCLvPtRQ0xjIzFyoWzLVogI5lWZD29rK8glpHRSK95AirVOfY8asoa5xoXUX2AnnWKtwOxY/P\n",
       "O39r1NWzIlc4co5pjY41HkzZYyE51zkbHXu+zhqxY5MOqvz65RcIHR9eYv9vZQ1qWu5gp+ZIFxPD\n",
       "ctOoTQA5klyPyiCQq0nuKNeJYIZDTHJeVgzkfpC/2uf2+jnqypZ9TRBTxjdlGMiX1kYsQq3VpBcQ\n",
       "HQAAGKtJREFUjdDO8iNowMuXIKc29Ms1Dpnht39YuxRrJ6S/iXqZ3kHZ2b7zWyAbmBjPtr8j84pl\n",
       "NNphfgXthNyCdkoOQ63TeXb/g0B+jHrPFqLjx2aIyWQV1jDOQ1qj3o3QYxAmNalYMMehvucFqAtw\n",
       "plWC8VrRS7rMXtlCSg8avnhqC0GGkDOWWdV7FQtcaYIxTBltnY43KGhBO82YGgqm/BONPzgUDejZ\n",
       "DbUcF6Aeo7hAfFXbwZxtZQaAZQyRzmQCq6R19jqyHXU5X7ragW5yMMi7pK47LD1Ra3NcZNs29vv9\n",
       "De3875xfTmmDRt0uQgMD56Cu7j+hcTCh4ZFY70ppJMMfbiI67+0BSls2xmleROpCs7qXU9/Uqi7Y\n",
       "tCRGoMugjULnNv4DuBNN2L+0wPnOOoW0QX9jsWQgeQeQUO+KVcQp5GYUcVouT6DJAWrBFLzeOUqt\n",
       "6t0UvM45WWrZ3jmO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO\n",
       "4ziO4ziO4ziO4zhOqXguWadUPJes0xR4LlmnKaio3vmKJE5IEyzv5Tj1sh5mTYrQCUSyy3w5TUhi\n",
       "fShjVWzHcRyninS2//s3aSmcVFwwHcdx6gMXzDrHBdNxHKc+cMGsc1wwHcdx6oNO9r8LZp3igplB\n",
       "eoNMbupSOC0NGQ3Ss6lL4dQFoYW5UZOWwknFBTPLQGDrpi6E05KQG4BpwOFNXRKnLugMfIlbmHWL\n",
       "C2aWnmR7eI5TZSQADgP+SNYV57RsOgPv4oJZt7hgZukFdLKGzHGqTSdgNfAB0LGJy+LUB52Bmbhg\n",
       "1i0umFnCcSRvvJxa0BVYAXyO1zlH6Qy8D6wH4nWiDnHBzBIKprvHnFrQDfgIFUyvcw5oPVgJLAQ2\n",
       "bOKyOAm4YGYJBdPHMZ1aEFqYn+EWpqN0Bj4F5uNu2brEBTNLmL/RBdOpBV3JWpgumA64YNY9LphZ\n",
       "3CXr1JJuZMcwvc45oIL5GRoI1ruJy+Ik4IKZpSdaWd3CdGpBaGG6S9YJCS3MpTS5YMoUkKFNW4b6\n",
       "wwUzSy9gLt7bd2qDW5hOnFAwl5AdImoqRgL9mrgMdYcLZpaewBzcwnRqg1uYTpw6sTCljd1/vaYr\n",
       "Q33iggmAdADaAYtwwXRqQ9TCdMF0QD0N9WBh9gYCYP0mLENd0qapC1An9ASWoZXV3WNOLYhGyXqd\n",
       "cyBrYa6iaccw+9r/bmHGcMFUQsH0oB+nVvg8TCdOGCW7nKa1MF0wU3CXrNITHTdwC9OpFe6SdeKE\n",
       "FuYyoAdIFdpn6QoyqMhBoWC6SzaGC6bSC7cwndoSc8l60n8nFMxgNZoir1sV7nEw8Jsix/RFlxlz\n",
       "CzOGC6YSHcN0wXRqgVmYwRpgDRp05rRsQgsT1ONVDbfsBhRfoLovmgTeLcwYLphKH9wl69SW0MIE\n",
       "d8s6OpWjDfCFbajW1JI+FBfMDYBZuIWZhwumMg54BXfJOjVBWqP1bKVt+AzvqLV0OgGfQSD2d7Wm\n",
       "lvQB+hcZH+0LvI0LZh4tVDCljfXosIozCXgStzCd2tAF+BiCL+1vtzCdMEI2pJoWZlsKi3Ff1MJ0\n",
       "l2yMFiqY/A5YDHIhmgLqQwgW4hamUxvCCNkQn4vpRMcvoXoWZm/U7VvILRsKpluYMVqqYPYFLgSO\n",
       "Ak4CnrLtHvTj1ILo+CX4XMwWgvQHuSBlZ1wwq2lhvkqqYEpHtC7OxQUzj5YqmN2AN9Dw6u+j7lhw\n",
       "l6xTG8KkBSHukm0ZbA38KGVfDSxMaYsOB7xGuoW5AZoi9BPcJZtHSxXMsMG6FngeeMy2u0vWqQUb\n",
       "oNOYQtwl2zIYAPQESbIcwzyyIQ2wMKUVyOCEHb3QLEJzSBfMvqhgrsQtzDxaqmB2Az6C4AsIJkLw\n",
       "rm13C9OpBROBFyN/u0u2ZTDQ/h+VsC9uYc4H+ld4n4OB10GGxLb3BhbbtdMEsx+wELcwE2nJgrki\n",
       "YbtbmE4tmAQ8HfnbXbItgwGoEKUJZjRKdq4dXwmHAS8Af7EpTCF9UMGcR7oYh4L5OdAuO5vAgZYr\n",
       "mPGgixCzMD1NmVMtpCOwOdqghfg8zJbBAHT4J0kwQ3dpyDKgA0gJVp7sDnKWfe4HTAD2AzYENo0c\n",
       "GBXMIhZmIHgQZB4tUDClA7rW2xf5+4K1wGqgfW3L5LQgxgNvQBC1JtzCbBkMBB4kWTAHounojEAo\n",
       "amVKN5D2wB+BPWzjd4F/QLDSzu8TOaEPGkw0T68r3RMuGlqY4G7ZPFqgYIYBP5mMGnHcLetUk7g7\n",
       "FjzopwUgrVExehSd+x1nIBqME2UOqYIp3dHAoOfQ9TP72Y7xwL/s8xJyA4dsDDP4BA14vDXmssWu\n",
       "s8g+e+BPjJYomBbwk4oH/jjV5CvAM7FtHvTT/OmHCtxsYP0E6y5mYQJqIQ4kmT6opXgTcCjZJbn6\n",
       "o0E9oO7X3rFzFtvn01A38P6x6/Yla2GuxC3MHFqiYMbnwMVxv71TTcaRO34J7pJtCQwA5phnaxaw\n",
       "SWx/mRYmPdGxxsvRPNjtQDqj45ahYMYtzNAliy0h9gQwNHbduEu2zi1M6QbyNU0KUX1aomAWszDd\n",
       "JetUCdkQzeMZtyTcJdv8GYhajJAXpSrtUWtvYeycQhZmuCQhJsKLUOuwP7DAjllCZgxTAmA08E7s\n",
       "+pHgH2lt5fjANqwLLtkfArcAMxLcy42OC2Y+60IlcdZNxgEvJoyfu0u2+WMWJpA/x9JELlgbO2cO\n",
       "JQkmoII5AlhtAT+Qa2FuDrRGs/yEWPAPgDxlx3xoa7RCg1yy0hqkFmu8jgbOBT4k/Vk1Gi1RMIu5\n",
       "ZBeibg3HaWxMMPNwl2zzZxBZCzMumEnuWCgcJZskmFuTtS4hVzC/DdwR66yZhSnd0WC0Y8gG/EDD\n",
       "XLJHA7+v8NxyGAm8CcwEhlf7Zi1RMItZmA2ZMOw4hSgkmO6Sbd4MRxt1yM+0M4iCgpk4LzxJMLci\n",
       "O34JOS7ZUDCTrp8RmkPJdQs3JOhnU9TirSLSyu7zFi6YVaOYhemC6VQBCUgXTHfJNn9GANPtc5KF\n",
       "GR/XBoJP0c79dgnXiwvmQvItTIuSlSGooRAPNluMtodj0KkoXckXzEotzI3tXzUZgE4RXIELZtVw\n",
       "C9OpEgXTiPVBx5AWJOxzl2yzRjqhCfdDUYynpktzyQIcCdwBMja2PcnCHECuhbkM6I7OzXw+smC5\n",
       "EXyJ1scd0SUOXyBXMD9GRbQShqDu3mqm1huFumOhoGBKG5BzSsuaVJhmKpgyukDElAumUwXkIOC+\n",
       "AgdsAsxKSZjxCZU3TE79Mxz97cOgHrMwJQA5GtgdnZ+ZQPAgcDVwYGxHkmBCTocsWIN603ZCp54k\n",
       "Mdf2zwQuBR6J7HsLDQQqEwlQ6/JTqtuWjkTLCKmCKe2BG4BfoBZ4g2iGginrAc8Cu6QcUMwlG6aN\n",
       "agdyg/nJHacA0hZdkHzLAgcNITekP8osYKhFFg4GqbpryWkspHuBRaFDRgAzIn+vQL0NuwI/B04k\n",
       "m50nibfJjwBNE8z5seOWALuRLpjzUOt3JgS3Q/B4ZN9UYEIF0zW6A4IuVD24zHPLIWphvgdsaKlP\n",
       "DTkanSLTDfg7+XNfy6Y5isEh6EB1WuNVzML8ABXVbYCjSE5j5ThRjkLFsDNIl5RjNiHdivgYbdiG\n",
       "AKcC5zR+EZ0qsTXwkyILNmxKdvwS8zLMB44FboPgnwVSdYK6cgfFtpUjmIMpbGFCNiApQrAUHedM\n",
       "yn1biI2Bd+1fI4xjyjCQcxN2jCJjYQarUdHcKbKs2VHAwRDsB0xD369C92ljiyOk0swEUwLgOOBm\n",
       "0gWziIWZ8esfYBsmNV75nPpBApAfg3y/ES62G3A9KohpvdhCFibA68Bm6FqZExqhTE5VkbtAeqFu\n",
       "wM6olZZGTDABFbZvAJNLuFlsPqYE5AtmmGwgPka+BDUQEoKKALUwF1mnLYlnUeMhAdka5N6EHUPI\n",
       "CubglOuWw95o5yJ67zZosFK0I/AacCvwN/P6bImOzULhdzNkX/IjiXNoZoLJSNQdcAmVW5igva7v\n",
       "AP/GBbO5cglqyX2zEa41CG0czLWaSDHBnIZG0W6GBkt0a4RyOVVBBqM5WMeRnTpRqDHelFyXLKhQ\n",
       "fUF+Iv4k5gN9IwE0nYAvIfg8e0jwBXAe+dmCFgOvFLBg3yNfzKNMRfMfJ/FVYPcEqyy0MN8j0cKU\n",
       "PUB2SL+l7ATyJMilNiS2DTpMFvXejALmWYRsyEFox2UY6u5+N9IReIdUCzMTUHU0cHt6uepCMGWk\n",
       "9lLkgWLmcAlsivrN30IH1WNRURKQvnh0lHBZnIuBbRtYJqc++Rb6gjR4XINslOMs9GVNooBLFlDB\n",
       "PARtWP+DNsZVRgJ1dzllEjb2Y1ELczmpHSVph9aJJAvzUXMlFiFYjQpfmFClF7nWZXjc+ZEsPSEL\n",
       "0PqUxmR0SbA0ngW2TXE5j0FTPU6MbY+6ZAcnnHcycBdI2pqcR6OrsOyNGizboN836hoeT940mWAN\n",
       "BP9FV4Q5z8oekmJhSh/gZZAz0La+7i3MPdA1KAeiE28bQhiJuAZ4A9gitn8jNIS/FMFciFam7iB9\n",
       "ixzfBMgEkO81dSnWTaQDmmT6MWBgw0LfpSPq5v+AVAtTOgE9SJ5SEvI6aqlOBZ6nNm5ZC5qQNKvY\n",
       "SeZr6IozoWA+SLpnYQIw3ZbUinIDmtKtVKLjmHF3bCEuRQOLUgjWQPBB+n5eQ9vLYxP2jUGfQ3ye\n",
       "aIExTAnQZ3ILusRYDGkH7AX8Dh1aOxmNSbkf9b6EJAhmhgds/9TItiVA+wTPzXh0/PYC4E6b+5pK\n",
       "PQjmZsBDaOb8hjYSQ8n24l8m3y07AXiuyAA76A/9pI1nPo2a92UiaW6MxuIw4Igq36O5MgR4316O\n",
       "RTQsB+UA1DX0Jeku2Y2B9xJyhUaZAaxFe9a1EsyRaDTjhTW4V3NiB+By1LLqj07FSBPMndCOWYxg\n",
       "JgTTyrhndByzJ2rVlkDwaSS3bAUEa9HgmV/lWoTSGs3jeiU5gimtUO/Iq6gVHYBEp6YMQ6dRnQFs\n",
       "A9KPXHYAZkCwAHWPfhMVvml2v5C0JCCgHRjIEcxAUG2Iu2XHAXeiLvZfplwvQ70I5jS0oYib9uVi\n",
       "FiagjU58/HGibS/GTUAYDHIVcEZ500tkQ+AZkGrOQdoFGFkkOs9JZhgaqg+lBQMUIjrpPE0wi41f\n",
       "AsEq1KPxBPqiT7I5ZNVkU3SO3w46d9kpjHQDORAN8vkH6qV4Hx0CKiSYj6fsK4e4YJZqYTYCwTQ0\n",
       "mOaHkY1DUKttMip8oZdmFJp9Z56J7VXAjyPnTQSmWn2/j/z1OPdHny0QvI0aPlNRj6FZmNLe7pMS\n",
       "+RssAPYhO0czZDawBchekW3hggiTIXg3+XpZmlgwpRXaa3iDxhHMqIV5P7BHrNGZQEmCGayKDCZP\n",
       "RgfnywkOCS3SMqwEuQLkHZDzSzi2PzrG2godz3DKYziNJ5jRPKDzgW42FzjKVmTnixUg2Fdf2mAO\n",
       "8BI6plkGcqIGSpTMSLvPXejQiFOYW4CTgJ/auOI01J03GxiW33mVjmiD/BQN5310+GBTdMyxkBu1\n",
       "GlwHHBmZkzkGeA2C5ahwHWPbd0A7fSF/Ar5lEcWgbfxz9vkONMetIQHwdTKCCajhcj2qEWGnbj/g\n",
       "PxB8ll7c4P4ET+I7qBv4r9rxkQB1yaZZqmVTzHXZ0MtvDGLzgKQVyIc2CFvJtdqDrLJw4nDbMxqR\n",
       "BTYp/BPyVzov5dr7gLxSujUnt5j4XVzi8W1AloPsDLKiePCTHA5yh32/7Uu7R4Opcl2o5b3kGpDj\n",
       "7POZIL9twLXOz+3kyMPohOnw7wBkOkhKaH7qdXcCeatMz8ZzIG+UcfxLIBNBDgC5p4TjA4tcrOVq\n",
       "PrWqd0XuI91APs4NJJTr7HkEIB+B9Izs62B1o5Qo2FKKtw/IuyBLQC4EKTSNpUrI85H29Fcgv7DP\n",
       "o61cA0D+BhIbKpLrQWxusbwAYp4/6WjPzWJEZJy+K4n3Duz5bwHyZrYcZZV/BLrY9FZW3gNBPkhp\n",
       "1yuqd9VuuPYFicxDkoe1YlR0rREgs2LbTge52j5vBRIP7S712q20IZK07EHxYz8A+T7IE8WPB61A\n",
       "8rJ9fgzkG0WO/wvID60i/qC0ezSY5iSYj2d/S/k2yN0NuNZNIMdE/t4eZDaZjptsZZ2nMl3nElgD\n",
       "VaJnQwaBLLUOV88Sjm8FstKEoC/aYSsiznIIiGQ7GzWhXgTzUPLmHMowEAtqkSdNIPcHmQuyBuSf\n",
       "qEXYGMUbBrJYOzhNhRxjov0nkEXk5LeV01TsZAk67SZ63mg7fheQ+eRm47kS5Nf2+QIKGhlyGGr0\n",
       "PFX++5R3rb2trPenHVDRVRtQolIufxbIJZG/T9cGqKxr9LXKeg7IQ7F9Q+0BT7feyZkNKOtRIA+W\n",
       "cNwWIG9bQ/QJJUVgyoWRSvMjkJsLHNvWGsaBVkkvL638DaY5CeZ8FRgA2RLktcLHF7zWYyCxoDB5\n",
       "HOQ3IF1ArtLft6Jr7wUyjZJSk8kpqMXzEMjXSzh+AEhkzp7M0LqbenxXkAUgfwC5s/j1G416Ecy7\n",
       "QI4ssL8/yFSQ90G2JcfT1Vg0dZpOCdAO4a/1++btPx7kxWQxkwdAPtcORc72QSDLQHqiXrwi0/hk\n",
       "LI02FUp654t7dmdFVyzzcIuikq/ZAyoy+VruIcd8l56U7JaVLtrbkqnoPE4B+WNymWRUbq+mEqQ9\n",
       "2rs6rMhxV0fEb3puIyS7mTgeDbKBid4YkJfJuFalH9rbjyTjznEz7wHyjH3eO13EZbCKfGo5O4Nc\n",
       "VriRzD2hxOMagwrvJdeBFJpThn3vz7ONj3RBLa1YAyAbk+j2kjYmsmeBnAsyh7zcr7IxyN2olfEf\n",
       "MlZI2d8nAHka5KcUnNokbUBetbpxDiW5mGVXkEgwilwDclKB408HuTVSP8vNL1opNRRMuQwklqBb\n",
       "DgJ53b5zjyKXaINOIXLykPEgF6XsuwZ1zc6uYb0qRjUFU9ZDzXQB+Q7aK34UHSOJjHdErS35LmqJ\n",
       "xXJvyrVWcbexHsCe9ncfa4h2toc/F+3NXGwNyxkg+1XyJUtHRoIstDJehPa2v00myENGoGa+vVhy\n",
       "tTWc/VEX7SLU7XAban0usGf1ekwUf4+6p9uCbGcv63n2PW8AOdmO28SucbQ13iejHYQzUSt0oZYv\n",
       "73u0A5kM8gjq5jmX4r3XOhdM+Yo9iyX5jV7mmMB+u5gLVn6GjgePtGe6tV3nJXQsqqP9fxzaoXvL\n",
       "fvsbUbFNGXOWduV/j7xrbGm/03LUxXciyNfJHS87C+Rf+hvKDlbu1pHvPMzemQH6DspI1JV8VeQa\n",
       "e6Ou43AVjZ+h400DrB7O1bKA1dnxsXL2ArkZFe7jU77LrqjgtrbvVUrjWEvBvNjeh6tBTkC9BPNQ\n",
       "q6rSdSGdokgb1NKsF7GElHpXzA8sIKcDU9BsEYKGUm+FTib9FJ2DcwQ6WfTPaKjw82g49dnA8WgU\n",
       "1XZoOPZkdM7Z4cBuEMSyUMgIdFJvWzSacT4aZbY/GhU6C42WOkaz69caCdMudQX+i2aj+AqafGE1\n",
       "cBEE5oeXjugE3MPRaMTjILCgDGmVvz5d5h5t0Aiyne0eJwCno/OXxgCba9i2tEbngC1EI8AGossA\n",
       "3Ys++57AP9F5YKvQaLD10UnIL6JRmL2BvwHt7FrhfMAedl3LrRs8R/H60liINc6vZiPdpAuZkHU2\n",
       "QJNeb4xm51iBrid5LRpuf4197owugLsIjVL9FjpvcsfcieTSCo0CnAS0R5/JEWg04nC7Twf0HTgS\n",
       "gki4urQtLVtLQ5FOwKFoMo5NrKxr0O/bDdgagvdV2HkEzbAy3creHs0UsxH6u85Fs6FcDEFk3F/O\n",
       "QKNA56DP7i40SvElYD0IdrLjLkezryxBQ/3fsjLdi77/fwXOR9/d94Cl6LzhU9FVOpaQfX+moGni\n",
       "5tmxc4EP0ee9wFK+1aLeid5HBqER8cPRJCdX5j4jp4Vg9SGXUgTzD+h6bYPR6RX/RefGfAR0QUOE\n",
       "b9WJuIAGU7wDgc07k0loI/UwurL80ajo/rl4RQx94YGAjAHmQ7BMtxdNPlBDMin3egNv55et0vJK\n",
       "N6CVhm5LJ1RAe0FwY4FzWudOkJddrVxd0MwknwL3QBAJSJK26LSC8egcxTZoQxx6Bx6C4ApqK5iz\n",
       "0GcaCsL6qACsjzaoU9EEE8+h04n2Q1cmWI2uVvBjtOH/CK1/Y9GOw00FEk2Ht7ffS7qgCbLvJZN/\n",
       "uF7qnQSo+HUHPsnP1iIjUYFcQm7Ho4jAywS75rP6nGRrYHvgcQhs3pv0R+cBf4z+JlsBayG4zfZP\n",
       "RJMhrEaFtBs69eJAtAPTT6/HlnbuRvZvMJoIoDsqVnta56SGguk4QIWCOYVs3kSnZfMEmhKsFkzB\n",
       "652j1KreTcHrnJOllu2d4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4ziO4zQh/w/eD3xAvlMb\n",
       "rwAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa73fed59d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (3600, 96), float64\n",
      "Testing data: (2400, 96), float64\n",
      "Training labels: (3600,), uint8\n",
      "Testing labels: (2400,), uint8\n",
      "Accuracy: 68.8 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Training data: (300, 1152), float64\n",
      "Testing data: (200, 1152), float64\n",
      "Training labels: (300,), uint8\n",
      "Testing labels: (200,), uint8\n",
      "Feature vectors accuracy: 62.1 %\n",
      "Clips accuracy: 68.5 %\n",
      "5 genres: blues, classical, country, disco, hiphop\n",
      "Data: (6000, 96), float64\n",
      "Labels: (6000,), uint8\n",
      "Ratio: 5400.0 training, 600.0 testing\n",
      "  69 (+/- 2.2) <- [70 68 71 67 64 67 70 68 72 66]\n",
      "  69 (+/- 1.4) <- [71 68 67 67 72 69 67 70 69 70]\n",
      "  70 (+/- 2.0) <- [71 69 73 68 68 71 71 68 71 66]\n",
      "  69 (+/- 1.4) <- [70 67 66 67 67 70 68 70 70 68]\n",
      "  70 (+/- 2.4) <- [71 69 72 68 70 75 71 68 68 66]\n",
      "  71 (+/- 0.7) <- [71 71 70 70 71 71 70 69 70 70]\n",
      "  70 (+/- 1.4) <- [70 68 72 69 69 67 71 69 70 69]\n",
      "  70 (+/- 1.5) <- [69 70 68 71 65 70 70 69 70 69]\n",
      "  69 (+/- 1.7) <- [68 69 68 69 68 65 70 70 69 72]\n",
      "  69 (+/- 1.8) <- [72 69 66 68 69 66 69 69 70 71]\n",
      "  70 (+/- 1.4) <- [71 70 69 69 69 69 73 70 71 68]\n",
      "  70 (+/- 1.6) <- [71 70 71 68 69 69 73 68 69 71]\n",
      "  69 (+/- 1.3) <- [69 70 66 68 69 70 68 71 68 68]\n",
      "  69 (+/- 2.0) <- [71 66 68 66 67 69 66 69 69 72]\n",
      "  70 (+/- 1.1) <- [69 70 72 68 69 70 69 71 71 69]\n",
      "  70 (+/- 2.0) <- [72 71 69 71 67 68 71 72 69 67]\n",
      "  70 (+/- 1.6) <- [67 71 69 69 68 70 71 71 72 69]\n",
      "  70 (+/- 0.9) <- [70 68 71 70 68 70 69 69 71 69]\n",
      "  70 (+/- 1.2) <- [72 71 69 69 71 69 72 70 68 69]\n",
      "  69 (+/- 1.7) <- [67 70 71 67 67 72 67 70 70 69]\n",
      "Accuracy: 69.7 (+/- 1.71)\n",
      "Mean time (20 cv): 17.15 seconds\n",
      "Overall time: 347.37 seconds\n"
     ]
    }
   ],
   "source": [
    "#%run gtzan.ipynb\n",
    "#%run audio_preprocessing.ipynb\n",
    "if not regen_graph:\n",
    "    separator('Graph')\n",
    "    %run audio_graph.ipynb\n",
    "if not regen_features:\n",
    "    separator('Features')\n",
    "    %run audio_features.ipynb\n",
    "\n",
    "# Hyper-parameter under test.\n",
    "for p[Pname] in Pvalues:\n",
    "\n",
    "    if regen_graph:\n",
    "        separator('Graph', True)\n",
    "        %run audio_graph.ipynb\n",
    "    if regen_features:\n",
    "        separator('Features', True)\n",
    "        p['filename_features'] = 'features_{}_{}.hdf5'.format(Pname, p[Pname])\n",
    "        %run audio_features.ipynb\n",
    "    separator('Classification', True)\n",
    "    %run audio_classification.ipynb\n",
    "    \n",
    "    # Collect results.\n",
    "    for key in res:\n",
    "        res[key].append(globals()[key])\n",
    "\n",
    "# Baseline, i.e. classification with spectrograms.\n",
    "p['dataset_classification'] = 'X'\n",
    "p['scale'] = 'minmax'  # Todo: should be done in pre-processing.\n",
    "if regen_baseline:\n",
    "    res['baseline'] = []\n",
    "    res['baseline_std'] = []\n",
    "    for p[Pname] in Pvalues:\n",
    "        separator('Baseline', True)\n",
    "        %run audio_classification.ipynb\n",
    "        res['baseline'].append(accuracy)\n",
    "        res['baseline_std'].append(accuracy_std)\n",
    "else:\n",
    "    separator('Baseline')\n",
    "    %run audio_classification.ipynb\n",
    "    res['baseline'] = len(Pvalues) * [accuracy]\n",
    "    res['baseline_std'] = accuracy_std"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "diag = [False, True, False, True]\n",
      "res['accuracy_std'] = [1.436557420440346, 1.5932093309487683, 1.4952886659252258, 1.5595619042966302]\n",
      "res['objective_j'] = [8606.1363220214844, 8863.5414123535156, 9658.9462280273438, 9144.2604064941406]\n",
      "res['objective_i'] = [56288.06640625, 56926.68359375, 56714.78515625, 58121.015625]\n",
      "res['objective_h'] = [0, 0, 0, 0]\n",
      "res['objective_g'] = [73856.3232421875, 71186.357421875, 73196.669921875, 68731.2841796875]\n",
      "res['baseline'] = [69.729166666666742, 69.729166666666742, 69.729166666666742, 69.729166666666742]\n",
      "res['time_features'] = [2454.886491060257, 2743.529349088669, 2634.3452701568604, 2672.729882001877]\n",
      "res['baseline_std'] = 1.71029866625\n",
      "res['sparsity'] = [20.629540687919462, 19.48717491610738, 20.00042994966443, 17.994746224832216]\n",
      "res['iterations_inner'] = [1156, 1285, 1215, 1230]\n",
      "res['iterations_outer'] = [5, 9, 6, 6]\n",
      "res['accuracy'] = [76.228333333333339, 78.04583333333332, 77.217499999999973, 76.726666666666674]\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfEAAAFRCAYAAABkLpSTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmcHFW5//HPZCMhQCAECEtCZAmLegVZBEE4LCIBFZCL\n",
       "CAoEvSCLoCLXBDfmunJRBH94ZYcAXkBkFVQk4WbUK4ICCXsQkJHFBBIIu1wC6d8fz2m7plPV0z3d\n",
       "XU/P1Pf9evVraumqerrPdD1V55yqAhERERERERERERERERERERERERERERERERERERFxshzYKMft\n",
       "TYnbHBbHfwUcluP2qwXgKcfte5lCZ5WDDEIjvAMQEXf7eAcggMpBBmBY/28RKYSu+BIRGTSUxKWT\n",
       "zAQeA14GHgT2r5p/FPBQYv7Wcfok4DrgOWAJcHac3g1cnlh+Cn2rL3uAbwN/AF7DqrSPTGzjceDo\n",
       "qhj2A+YDL8VYPwQcBNxV9b6TgBv6/cQV+8btLQZOp3JAsTHwP/FzLQZ+CoxLLDcDeDrGuwDYPU7v\n",
       "ovJ9LgF+BqyRse0e4DNxeDrwv8D3gReAvwJ7J947DrgI+Hvc7reofz8yHrgEeCau+/qq+ScBz8Z1\n",
       "T09M3xeYh33nTwKnJuZNwcr0cOBv2Hf0lcT8YXG8/H91F7BBnLc5MBt4HvvuDsqI+2Dgz1XTvgjc\n",
       "GIf3wf4fX8a+ky9lrGcY8IMY4+PxcyX1UCmH/sr9vdh38jJwNVa+38rYrohILv4VmBiHPw68CqwT\n",
       "xw/CdpDbxPGNgcnAcOBe4AxgDLAS8P74nlPpP4n3AlvEaSOwHfI74vxdsORePljYHngR2COOrwds\n",
       "BozCEsHmiW3NAw6o83MvB24DVscOSB6h7858D2AkMAH4LXBmnLcZltTK39lkKm3rnwdujzGOBM4F\n",
       "rojzptD3e5gLfDoOTwfejNvvAo7Bkm7Z9cA52He9FnAnKx7oZPklcCWWjEYAH4jTA7AMO+gaDkzD\n",
       "vvdy0toVeGccfjewCDuYSn6W87Cy/xfgDey7Afh34D5g08Ty44GxWDv8EfF72ApLllukxD0GS5ab\n",
       "JKb9GfsfBVgI7BSHx1H5f6l2DPAwsD52QDUXeJv0cqhV7qOwA5YTsO/rAOD/gG9mbFdExMU84CNx\n",
       "+DfYTqvajtgZeNrZYDe1k/jc+J5argdOjMPnYQcLac7BzurBEs4L2A64HsuBvRLjxwJzMt67P3BP\n",
       "HN4EO3Mt7+yTHqJyVg6wLpach9F/En80sdzK8b1rYwdUbwCjE/MPwc4Y+7MulrDGpcwLwOv0LcNn\n",
       "sYOmNGcBP4zDU2J86yXm30klwT5C5X8o6WDgd1XTzgO+kbHNy4Gvx+FNsaRe/h7+hh3IrJaxbNn/\n",
       "0PeA54Nkl0O1ZLnvgh3QJv0eJfFCUnW6dJLDscS9NL7ehZ2FgFWBPp6yzCRsJ7p8gNus7hU9DbgD\n",
       "O7Neip2Zr9lPDACXAofG4cOw6s1lA4zjSSpJaR3gKmyn/RKWTMrxPAZ8ATsQeRY7y103zpuCHYCU\n",
       "v8uHgLeo1GzUsigx/Hr8uwqwIXawsDCx3nOxM/L+TMIObF7KmP88fcvw9bhNgPdhCe45rCbks1S+\n",
       "g6yYy8tmldmGcb1LE69Dyf5+rsAOWIjvux47oAE4EPs/6cVqd3bIWMe6rFjOWWqV+3r0rR0hrld9\n",
       "OgpISVw6xYbA+cDxWHXnGsADVHZMT9G3OpPE9HK1erVXsTPJsokp7yklhlcCrsXapNeOMfyqjhjA\n",
       "Ev+b2FnSIfStAajH5Krh8k76u9gZ7Luws9jD6Pu7vRKrlt4wfpb/jNOfxNqy10i8VsYS8EA9hVXb\n",
       "rplY5zisirqeZceTfibenyuw/gUbYE0O51L/viurzJ7EqqiT38+q2P9fmjnYwcp7gE9QaZoAa2ff\n",
       "P86/AWujTrOQFcs5S61yX4hVySdNpu//shSEkrh0irHYTmgJ9n95JLYDK7sQOBnr0NOF7ZgnY1Wn\n",
       "C4HTsCQ1mkqb+HwsqU7CdoSnpGw3efYyKr6WYGeF0+hbzX1RjGv3GOP6VNpewRL3j7Fkfnti+nTg\n",
       "iVofPn62cpv4idiZPNgZ5WtY9e36WBtv2dQYy0pYcn0D2/GDJbrvUkkUawEf7SeG/iwEbsWqslfF\n",
       "voONse8YKlXbaclpIfBr4CfY5xyZWK4/q2Bnym9iVeyHUn/CuhDr8LUJVtb/gh1M3Ix9f5+KsYwE\n",
       "tqNvv4akZcDPsY5pa2Ad4ojLfRL7/3obeIVKGVS7Givbcpv4zBpx1yr3P8ZtfA7rW7BfjF0KSElc\n",
       "OsVDWHvzH7Gq0XdhvaTLrgG+g50BvYz1Rl8DSxofwXbST2JnXuX20DlYMrwP64h0Eyvu/JPjr2A7\n",
       "2auxqt9DqPRAJq7jSKyD0YtYFW8yYV2OtYf/tGobk6o+S5obgbux5oSbgYvj9P/ADlxeivFfm4h5\n",
       "JeB7WIeshVjTQ/lA5UfAL7Ck+zL2vSbbmLOSYCllXnL8cOxA5yHsO/o5lRqOSViVcnVVb9lhWDJc\n",
       "gFX/n5iYVyspH4e1976MtUv/rGp+rWV/iJXnrdh3eAF2oPcqdoD2iRjvQuy7HFVjXVdg/Q9+Tt+q\n",
       "/09hB2kvYW3en8xY/gKsb8e92Nl7siyr1Sr3N4GPYZ0Pl8bt3Ryni7TMxdgP9f7EtPHYEexfsB/V\n",
       "6ol5p2AdahbQ9+xHZLAo92LeuGr6b+h7xj5UfRW7DFDydyfW016kZT6AXWqRTOKnA1+OwzOwKlCA\n",
       "LbGqz5FYldxjqJZABp+TyO5VLtJKu2A1ICOw5P0a9XVaFGnIFPom8QVU/tEmxnGws/AZiffdQnYP\n",
       "T5FO1ItVqb7HOQ4phqOwZqdXsBOgab7hiJe8752+DlbFTvxbTujrYb17y55mxd6XIp1sincAUigX\n",
       "xJcUnGeVdVoHmur5IiIikiHvM/FnsWr0RdiND56L05/BeraWbUB6D9fHWLHTkIiIyFB2L3Zr4NxN\n",
       "YcWObeW275ms2LFtFHbf6sdJv/uQ99l5t/P2xVe3dwDipts7AHHV7bx9l9x3JfY0ojexa3ePxC4x\n",
       "m0P6JWblJw0twJ4MlcY7ic9y3r74muUdgLiZ5R2AuJrlvH3v3Ncy3h9klvP2xdcs7wDEzSzvAMTV\n",
       "LOfte+e+lvH+IMF5++IreAcgboJ3AOIqOG/fO/e1zJD5ICIiInXKzH26K1pjgncA4ip4ByBugncA\n",
       "4ip4B5BFSVxERERyoep0EREpGlWni4iIDDVK4o0J3gGIq+AdgLgJ3gGIq+AdQBYlcREREcmF2sRF\n",
       "RKRo1CYuIiIy1CiJNyZ4ByCugncA4iZ4ByCugncAWZTERUREJBdqExcRkaJRm7iIiMhQoyTemOAd\n",
       "gLgK3gGIm+AdgLgK3gFkURIXERGRXKhNXEREikZt4iIiIkONknhjgncA4ip4ByBugncA4ip4B5BF\n",
       "SVxERERyoTZxEREpGrWJi4iIDDVK4o0J3gGIq+AdgLgJ3gGIq+AdQBYlcREREcmF2sRFRKRo1CYu\n",
       "IiIy1CiJNyZ4ByCugncA4iZ4ByCugncAWZTERUREJBdqExcRkaJRm7iIiMhQoyTemOAdgLgK3gGI\n",
       "m+AdgLgK3gFkURIXERGRXKhNXEREikZt4iIiIkONknhjgncA4ip4ByBugncA4ip4B5BFSVxERERy\n",
       "oTZxEREpGrWJi4iIDDVK4o0J3gGIq+AdgLgJ3gGIq+AdQBYlcREREcmF2sRFRKRo1CYuIiIy1CiJ\n",
       "NyZ4ByCugncA4iZ4ByCugncAWZTERUREJBdqE5dOsxkwL/F6Cfg8sD3w5zjtz8B2GcvvDSwAHgVm\n",
       "JKZ3A08n1rt360MXkUFiyOS+IfNBZEgaBiwEJgM9wIfi9GnA3JT3DwceA6YAI4H5wBZx3qnASe0L\n",
       "VUQGEXVsa5HgHYC4Cv3M3xNLyk9iyXxcnL468EzK+7eP7+8FlgFXAfsl5ncNPFRpseAdgLgK3gFk\n",
       "8UripwAPAvcDVwArAeOB2cBfgFuxHZ/IYPIJ4Mo4PBM4A0vo38f+56utDzyVGH86Tis7AbgXuAj9\n",
       "HjpRVlPKVYlpT8S/1SZhtTMPAg8AJybmfR94GCv766gcDIp0hCnAX7HEDfAz4AjgdODLcdoM4LSU\n",
       "ZVWdLp1qFLAYWCuOzwEOiMMHYQeo1Q4ELkiMfwo4Ow6vjZ2JdwHfxhK5dK5yU8qkquk/AL6W8v6J\n",
       "wFZxeBXgESpNKR+kcoJ1Gun7QvGXdhBXPhg7ATsQewD4zwaX/RZ2ADcfuA37n+qo3Dce+4ddAxgB\n",
       "3IT90y4A1onvmRjHq3XUBxFJ2A+4JTH+cmK4C/uRVtuhaplT6Nu5rWwKVmslnWsv4H+rpnVhNTEb\n",
       "17H8DcAeKdMPAH7aXGiSg+RB3G7YQfvIOG+trIVSlgVYNTHvBOBCOjD3HQ28AjwHXB6nLU3M76oa\n",
       "L/P+ICFlWjNHY7Wq1NKOxsRXqDHvKqxGqeweYNc4vAfWQ73aCOBxLEmPom/HtnUT7/si1uwkfkI/\n",
       "8y8Gjquatgvp5V5tCvA37Iy82k3AoXWsQ9or9DN/L+D3cfhqYPcG1p12AFh2ClYT4537+tgYeAhY\n",
       "E9uJXY9VI1Yn7RdSlvX+IKGf+Y0ejdWqUks7GhNfIWP6WGAJfctsW+BOLDH/Edg6Tl8P+GXifdOw\n",
       "cn+Mvu3mlwH3YQdyN1CppRIfoca86qaUsnOwA7BaVgHuAvZPmfdV4No645P2Cv3MTx7EzcMuEb0D\n",
       "u0pl2waWLfsOVouzAOsPk5n7RvSz8nbYFrgdeD6OXwfsCCzCktoi7CzkuYzlZ2G9eQFexHaSPXE8\n",
       "xL/tGi9Py5p/EvZjfgrr1PQrYKc4f3HK+zdPrPfV+J5p2Nn7K4n3r4IliVZ/Ho03Nl6eljZ/QtX4\n",
       "XVSqxqvfv29i/B9YbU55vLz+w9sQv8YHPt5TY/444G7gnYn5I4CDgaOoqF5+D+B7WHX5DVXzp2Md\n",
       "Jb9UY3mN5zfeU2P+7cBHgBvjtBFYc/FM7Ld9NbBRxvIj4rIzqubPxjq5vpv0y1NdvQerOh6DVZtf\n",
       "ChyPdWwr7/RmMjg7tjVzNDaFFavUqo/GJDelAKXuqldPyrTgFKB0juqmFLCb89Ta+XZhtS1npszb\n",
       "G2tim9CS6KTdqvvD/JpKUxpYLduadS5bbTKWLzsu932ZyiVml2JVzuOxHr21LjHz/iChxrzqKrX7\n",
       "gR/F4e2wHvlZalWpgR3UXFJ3lNImc73//8RPyJie1pQC9ns9umpasillZ2A5VpNYfVe+R7ED+vL0\n",
       "nzQRt7RGqDGv+iDus8B/xOGp2IlYvcsCbJoYPgHrNzZk9j3eHyTUmDfQo7GRwG+AL9RYd/loTFyU\n",
       "zrez8LmleDY+yzkgaau0Wpgb5qsWptBCxvS0g7iRWOK9H2tmKS9b3R8m6wDwmrjsfKxPxNrUyH2D\n",
       "7Y5QJTo35quwxH1pHP8sVminYkdjc7BknFRuTnieFTvAbIodkYMdjW0PHNbyqAutNAwYDawcX2MT\n",
       "w8nXN7AyLHsV65A5B3gLu9vassRw2rR6ht+CruXt+rTSjFIJujp13yMtVQqsmLQDffvGYONd1dPa\n",
       "JTP3DbZ/yk5N4mOx6q93YB3SwI7GLsZ6n7+JdVDpwRL7BVjnpp2B32G9kMtHWqdgZ/TXYJ0i3sYu\n",
       "QzqW7M5+Q1BpGNZvIi2xZiXbRt87GngDeL3q9VrV+G70veQL4O/YpX8j42tE1d9Gh8t/lzOg5D/Q\n",
       "g4Y8tzEYD1BK52MHcLsCvwV6oWu6Z0Tiwf0gTkl8AJsKrHA0duP+sN8NVW/syfForEOUhtO+xFoe\n",
       "XgnruZ2WVLOmNfref9SXWEo9wK6JDqpLgK9D17n1fmP1KXVhD0UZSPIf6EFDXtsYif1+O/QAI3P4\n",
       "fGDbRNm/gHXCvQw7wC6/lqeML4cu7yZAaYm5JdhNSbwFnM/E3QuyDqURNJ9A+3vvSNqTVJPT3+ic\n",
       "HWBpFrAv9EyAsASYDV26AUfDSsPpnAOTepebCqzc9woj/g+7vHV4fA1LDCfHu6gk97Qkr/H08SaX\n",
       "beV+o1wT07MrBM+aGCXxJjfboiq10kjak1iT04bRmrPXWut4s3MSbF5Kx2A37zi29Wfg0rnKtTD/\n",
       "1EAtzD9rVrKSvMZbP96F5YlWHVBMpW/HszbVwvVLSbzJzfbQ94f8GnZo/jCNJdsS7UmqyfFlxUuw\n",
       "7dCRnVskd+VaGCZgO3DVwnS0UhfNHQRUzzsXeG/VRuZA1wfb/UmqdGp/sIY5JadSj3VsmFuyv6US\n",
       "lB6D0slQOg5K06H0cSh9GEq7Qel9UHo3lDaG0rpQGhfPwmVwC94BiIfSMfG3f4x3JJK3Ffb9i53+\n",
       "D4bMiVmnJHGvghRfwTsA8aIb/RRTaZbt7+eW9/teDyLSdeJNbnYWqlITKQg1pUhSR/SHUZt4Czbd\n",
       "CQUpIiJt1ZEHcUriA9hUQNeJS1+BFX/IUgwBlX2RBXzLPzP3eTyKdJDo6iH1yEs/ZBERGXxW9g6A\n",
       "zu2htzp2m9SHgYeAHbBHrv4Ru6XqL1jxJvdgt1Wdl3i9BJwY530LuBe7Cf5twKT2hS9NUvkXl8q+\n",
       "2PIq/6Zy3/tjcE/F8a3wezRepybxS4FPx+ERwDjgz8AH4rQjgW/2s45hwEIqP9hkwZ8AXNiSSKUd\n",
       "VP7FpbIvtrzKv6nc9yfs6VvzEtMebGaFTfBO4iFl2jjSnxX+YmJ4Ev1/Z3sB/5sx7xTgtP6Ck7YL\n",
       "KdNU/sUQUqap7IsjpEzLs/wzc9+wflZeVv1Q87fqXK4I3gEsBi4B7sGeUDYWK7j94nsOov8qsU8A\n",
       "1dcgfgf77o9AP+ROpfIvLpV9sQ2a8r8G2Ak7Ex8FnIw9O9uD95l4mm2xpx1tF8fPwqpPNgN+A9yF\n",
       "PY96SY11jML+GdbKmD8T+0eRzqPyLy6VfbHlWf5N5b61sKOE5+LG/htYs5kVNqETk/hE4InE+M7A\n",
       "zVXvmQrcWWMd+2HPEM8yGXhgQNFJu6n8i0tlX2x5ln9T1emLgUOBtbGE/kng+TqWG4pCyrRFWKe/\n",
       "qXF8T6w6pXxkNQz4GnajmCyHAFdWTds0MbwfffskiI+QMk3lXwwhZZrKvjhCyrSOKP96bpxyGdb1\n",
       "vdxYvwZwBpUeeXnK72Yv3QSqC24B+7M5K97spZulWA/CUcDjWI/EI4Dj43uuBb4Sh9fD2k72jeNj\n",
       "gb9h7SuvJNZ7DVYt83Zc57FYbYjkQeVfXCr7YuvM8n+WJnLf/Dqn5cG3Or27I6vzJS8q/+JS2Reb\n",
       "f/k3VZ3eBYxPjI/HnrMqIiIijuq57eoZ2N1nrsYS+kFY9/fi6OZ8YCpPAN30AL10M901JsmPyr+4\n",
       "VPbFNgjKv54z8cuAj2FtMouAA+K0IpkK7BqHdwX2pRs9T7w4VP7FpbIvto4v/3obyodj3elHUKmb\n",
       "r74BTB58HkVqR2C79vc2EREZ8ubQzQdz3mZTTzE7ATgVOxN/OzH93c3HNWgtAb5ON3queBGseBCn\n",
       "8i8KlX2xpZf/tT7BpKunOv0LWHf3LbHEXX4VSS+wJF7WvwSYrR9xofSi8i+qXlT2RdbLECj/ucBI\n",
       "7yAiv27+3RzDEZQ6rT1EcqLyLy6VfbF1Rvk3lfsuxp6wcgrwpfg6qQVBDYSuExc/Kv/iUtkXm3/5\n",
       "Z26/nk5i3VUr6YrD/9FcTAPie8c2G++pmtYT201kKFH5F5fKvtg6s/x9OnW3gffRUHDevvgK3gGI\n",
       "m+AdgLgKztvPzH319E5fG/gy1rFtTGKFuzcfl4iIiLTTbODfgAVYV/tLgNOdYvE+ExcREclbU7nv\n",
       "nvj3vsS0u5pZYROUxEVEpGiaegDKm/HvIuDDwHuxx5EWUfAOQFwF7wDETfAOQFwF7wCy1NMm/h1g\n",
       "dezSsrOB1YAvtjMoERERGXpUnS4iIkXTdO/0o4ApifeXgE83HZaIiIgMWD1t4jdiVeizgV8mXkUU\n",
       "vAMQV8E7AHETvAMQV8E7gCz1nImPAWa0OxARERFpvW8D+3oHEalNXEREimZA905/NbHgWOxSs2WJ\n",
       "Fa7WktAaM2TuHysiIlKnIZP7vM/Eg/P2xVfwDkDcBO8AxFVw3n5TN3s5ALtOvGx1YP9mIxIREZH2\n",
       "uzdl2vzcozDeZ+IiIiJ5a+pMPK0efvjAYxEREZFWqCeJ3w38ENgY2AQ4M04rouAdgLgK3gGIm+Ad\n",
       "gLgK3gFkqSeJn4D1Sv8ZcBXwBnB8k9tdHbgGeBh4CHgfMB67ocxfgFvp2w4vIiIiHeJSKrdtHQGM\n",
       "w55R/uU4bQZwWspyahMXEZGiaWnu+y6WZNcc4PLjgL+mTF8ArBOHJ8bxakriIiLt8wK2n9XL5/VC\n",
       "Rrm0NPcdAJwMXD7A5bcC7gQuAe4BLsBuJrM08Z6uqvEy7yQenLcvvoJ3AOImeAeQE+99bKcKOW0n\n",
       "6/tv6ilm1a4fwDLV23wv8Dngz8BZwMyq95SPStLMAnrj8IvY5W49cTzEv+0a36rN69d4Z4+r/DVe\n",
       "hHH6ma/x9o6Xh6fH4V46zETgicT4zthT0R6O8wDWRdXpIiJ50z7WV8Nn4vX0Tm+1RcBTwNQ4vifw\n",
       "IHATcEScdgRwQ/6hiYiIDB5eN1R/D3AhMAp4HDgSu4HM1cBkrPrg41h1eZL3TeADlaoPKZ6Ayr+o\n",
       "AsUo+8Q+thRIr2LvqZrWA13V08qra8E6OkIgn/LPynFN5b6JwEXALXF8S+AzA11Zk7yreoLz9sVX\n",
       "8A5A3ATvAHLSzz621IJ9cCvWkbuQ03Yark6vxy3AwcB9cXwk8EAzK2zCYCx8EZHBQkl8RV3kVwPc\n",
       "ljbxCdjd2t6O48uAtxqLS0REpCkzgceAl7F+VMmnaR6F3f2zPG/rOH0ScB3wHLAEODtO76bvZdJT\n",
       "gOVUcmIP8G3gD8BrwEZYs295G48DR1fFtx92tdRLMc4PAQcBd1W97yRy7vPVg93YZV4c3wH4bZ4B\n",
       "JHgfwQXn7Yuv4B2AuAneAeQkYx9bOh9KPXYWXeqB0qwBrLrZdfwrlSuYPg68GscPAp4GtonzNsb6\n",
       "Vg3HnsJ5BjAGWAl4f3zPqfSfxHuBLeK0PYB9gHfE+btgyb18sLA91odrjzi+HrAZ1u/reWDzxLbm\n",
       "YfdbSdOW6vRtgNuxo4vbgUexjmkelMTFU/AOQNwE7wBykpXEe2LyLb8WQ+mYBlfdgnX0MQ/4KNbk\n",
       "e0LK/B2xM/C0GuduaifxufE9ZSFlHdcDJ8bh87CDhTTnYGf1AO/E7so2MuO9balOvxvYFdgJqz7Y\n",
       "kvRnjBdBj3cA4qrHOwBx0+MdQIeZAJxTlZT7ebFryjoObGCbh2OJe2l8vSuuYxJWvV1tEvA3LDkP\n",
       "xFOJ4R5gGnAHdma9FDszL99+fIOMGMCeFXJoHD4Ma55eNsCYVlDvdeLbY2ff2wCHYF+miIgU0xLg\n",
       "WOjqqv+1QjPsEuDaOre3IXA+9gTN8cAaWAfrLizZbpKyzFNUqtWrvQqsnBifmPKe5NnvSjHW04G1\n",
       "4/Z/RaXDW1YMYIn/TawK/hAGfsvyVPUk8Z8C38fOxLcFtouvIgreAYir4B2AuAneATjrxZIu8e9s\n",
       "6Do3x3WMxZLqEixvHYmdiZewe46cjN3OuwtLppOxZ3QsxJ6IuTIwmkqb+HwsqU7CHsp1Sso2kz3S\n",
       "d8fat5dgZ/bTgL0S8y+KMe0e41sfaxMvuxz4MZbMb6/zM7fMw/jeYCVJbeLiKXgHIG6CdwA5qbGP\n",
       "LR0Tq8abaMduah3fxqqyF2Ptz3OpPNL6s9itul/BLocu99uahLVdL4nLnZVY34+xavG/AP+GXYGV\n",
       "bBP/dOK9ATgOu+PoUuAy4Argm4n37I81Nb8c1/nBxLzJcf2n9vMZ29Kx7edYT7tO4J3ERUSGMl0n\n",
       "3h5jsOS+cT/va8tTzNbCro37E/B/iRV+tI5lRUREiu5YLIdmdX4bsHqqyUPG9J7WhVE33TtdPAVU\n",
       "/kUVKEbZ697p6QIDL/9e7HstV7fX0pZ7p3cS72qY4Lx98RW8AxA3wTuAnHjvYztVyGk7LW0T/0P8\n",
       "+yrWWSD5enkgK2wB/YOJiLSP9rG+2tKxrZMMmQ8iItKBtI/11dI7to3v51VEwTsAcRW8AxA3wTsA\n",
       "cRW8A8hSq3f6PdQ+KntHjXkiIiIifaiqR0SkfbSP9dWW68SHAZ/Ezry/id15ZiJ2zZuIiAxF3QTq\n",
       "vTysO+Pyq1asw/QCnwFuq/GeVlqO3b71r9hTyJ6h8iSyQedc4CfYLe3A2sOrH3KeF++jxOC8ffEV\n",
       "vAMQN8E7gJzU3sd2t2AfPLB1PIHdlzwvy4GNEuMhp+225Uz8fdiDz+fF8VrPQhUREZGc1PMUszfp\n",
       "+yi3tRj481kHux7vAMRVj3cA4qbHOwBhe+BB7ETyYuzxoGsANwPPxek3YU8QK5uO3er0Zaxq/NDE\n",
       "vE9jtxR/AbgFaypOMwvYIw4H4GngJOBZ4O9xG2UrAT/AnmO+CKuKH93Ih2xUPUn8bOwpMGsD38Vu\n",
       "AvO9dgYlIiIdpJvz/9lm3U0P3czKeR1dWALeC3uIyFTga3H6RVgCngz8A3s6GdjjS38E7A2sBuyI\n",
       "PYIUYD/s8aMHABOA3wNXZmy7RN/q7HXi+tbD2un/C3ucKdhjTzfBnqK2CXZA8Y0GPmfbbAF8Lr62\n",
       "cIxDbeLiKXgHIG6CdwA5Sd/HWtItJV6L6aaxx4k2t44ngKMT49OAx1LetxV2Zg2WxJcCH8OeIpb0\n",
       "a/o+anQY8Br26FLo2yZ+CfboUbD/g9fpewL8LFZL0IXd4TTZlr4jVgNQr7a0iW+MfYE/BnbDnpG6\n",
       "EHixgcBERGTomACcQzfnNLmOA7HO0/V4KjH8JHYmPAZ7RviHsKp1gFWwhPoacDBwMna2/gfgS8Aj\n",
       "wIbYWfoZVdtYv2o7aZ6nb5Py63GbawErA3cn5nVRX433gNWTxK8DtsGqBs4DbsQehr5PG+PqVD3e\n",
       "AYirHu8AxE2PdwAdZgnwdbrrTsDEqvRdq9ZxbQPbnFw1/HcsKU/FzoSfw87E78GSZwm4Nb5WAr4D\n",
       "XADsgh0EfIvsKvRqvXW8ZwlWnb8ldqKbi3qOEJYDb2FVEmcD/w6s286gRESko/RiSYr4d3ZDCbz5\n",
       "dXQBx2NgsAE/AAASvElEQVRnyuOBrwJXAatiifOlOP3UxDJrY23fY4Fl2Jn523HeucBXsIQL1qZ9\n",
       "UI1t1/MY0OXYQcJZ2Fk5Md696li2re7EOhQ8QOVWqw84xaI2cfEUvAMQN8E7gJxk72O7OSa2ZTfW\n",
       "Ft6adTwBzMB6py/F2qlHYyeUc7Gnay7A2s3fxk5QJ2I1KC/GZf4H2Dyxzk8B92EHAE8CFybmvU3f\n",
       "NvFL43CI762OrXwNe/mM//G43oewvmT1astTzN6JnYEfEsc3AmY2s8ImKImLp+AdgLgJ3gHkpFNv\n",
       "9uIt5LQdPYpUREQGTEncV8NJvJ56/qnY9eFbUummX6JvN/q8lKgvZhERaVxlH9tZ904viqwc11Tu\n",
       "+wOwJ9Z2sCHQjfXq8+B9BBecty++gncA4iZ4B5AT731spwo5bafhM/F6eqePAeZgRwF/w5L4vo1G\n",
       "JiIiIvm7Hbt3+vVYL7uPYRfLe9BRoohI+2gf66stHdu2x67Fm4TdCP46YIdmVtgE/YOJiLSP9rG+\n",
       "2to7fbX48uT9Dxacty++gncA4iZ4B5AT731spwo5bactbeLbAfcnXvcC2zYcmoiIiLRUPV3W7weO\n",
       "wx7VBrAz8BPgX9oVVA26xExEpH3+uY8tUf/lYV0Z95ZvxTr6MR17HOgHBrBsJ2rLJWbzUqbdM9CV\n",
       "NUlVPSIi7VNzH1tqwT64FetImE7lBHMoaGl1+jbx9Vvs6WUhvs6J04ooeAcgroJ3AOImeAcgroJ3\n",
       "AFlqJfEzgB8A78Hu2nZqfG2BPe5NREQkL5Owq6Oew56CdjaVM9TvAy8AfwX2TixzJPYQkpexh5Ic\n",
       "nZgXgKeBk4BnsUebTk/MH4PlwV7gZuyMf3SctwN2+fVSYD59H7EqNag6XUSkfVL3sSU4vwQ9JSjF\n",
       "v7MGsOJm1jEc61R9BpZcVwJ2wpLum1i7eBdwDPBMYrl9qDx9cxfscaRbx/GAPaK0O65/Wpw/Ls7/\n",
       "L+zJZ+tiJ7w7AKOwx4suoXKwsGccn9DA58mSywNQ9gfe18oVNkBJXESkfbKSeDn5ll+LSzT2ONEm\n",
       "17EjdgZeXXs8HXg0Mb4y9lzvtTPWcz1wYhwOwOtV63wWuzfKsDjv3SnrmAFcVjXtFuDwGvHXqy2X\n",
       "mFV7H/A1LOiiCd4BiKvgHYC4Cd4BdJgJwDlVSbnmixWrnCcAB9a5vUnYbb+Xp8xblBh+Pf5dJf6d\n",
       "BtwBPI9Vfe8DrJl4//NV63w9LjsBqzp/PE4PifdsCBwU11d+7YQ9vzx3A0nipwAfoW+7g4iIFMcS\n",
       "4Ngu6Kr3xYodopcA19a5vaeAyVi1d71Wius/HTszXwP4FfVdqrUEeAPYJGXek8DlcX3l16pxO7kb\n",
       "SBIvsh7vAMRVj3cA4qbHOwBnvVhiI/6d3QXn5riOO4GFwGlYlflo7Oy3llHxtQQ7254G7FXn9pYD\n",
       "FwM/xNrEf49V6Y8CfoqdyO6FHVSMxs7U169z3YWmNnERkfbJ3MeW4JhYNd5QW3gL1zEJa9NeAiwG\n",
       "zgKOAH5X9b63gY3i8HFYdftSrB37CuCbcV7AzqqTngB2j8OjgTOxHuwvYgdy5d7p28fx57G2+pti\n",
       "fM3KpWObJ+8PEpy3L76CdwDiJngHkJPBdrOXvIScttOWjm3XYc8Pb3XV+3DsbnA3xfHxwGzgL8Ct\n",
       "wOot3p6IiMiQUk8D/wexC+Z3AK4GLqE1zxM/Cbsj3KrAR7FOAUvi3xlYZ4GZVcvo3ukiIu0z2O6d\n",
       "PtS05d7pZatj7RhPY3eqORIYOcB1bQDMAXajcia+AFgnDk+M49UGYzWMiMhgoX2sr7ZdJ74mdlH9\n",
       "v2EPP/l/2Fn07AaCSzoT+Hf6Xp+3DnahPfHvOtULdYDgHYC4Ct4BiJvgHYC4Ct4BZBlRx3uuBzbH\n",
       "rov7CNbNH+Aq4O4BbPPDWG++eWR/MSWyjzxmYZcqgPUYnE+lGqa8vnaNb9XPfI0P7XGVv8aLME4/\n",
       "8zXe3vHy8PQ43EuTdmt2BVW+i124/wR2QPAadoCwgModb9ZF1ekiInnTPtZXWy4x+xzWyaxsDeza\n",
       "u1bYlUqbeLlDG1iHttNS3q9/MBGR9tE+1ldbkvi9KdPmN7PChF2BX8Th8Vhnt1qXmHn/gwXn7Yuv\n",
       "4B2AuAneAeTkBSrNmXrl/3oho1yayn3307cD3HDgwWZW2AQlcfEUvAMQN8E7AHEVnLefmfvque7s\n",
       "B9iN58+L7/8sdqu6L7UktMboOnERESmazNxXT0IcDhwN7BHHZwMXYvenzZuSuIiIFM2QyX2qThdP\n",
       "wTsAcRO8AxBXwXn7mbmvnuvEp2KXhW0JjEmscKPm4xIREZF2+gOwJ3AfMAXoBr7lFIv3mbiIiEje\n",
       "msp998S/96dMy5uSuIiIFE1T905/A+vc9hh245ePAWNbE9egE7wDEFfBOwBxE7wDEFfBO4As9bSJ\n",
       "fx5YGTgRq0ZfDTiinUGJiIhI84Zj14l3ClWni4hI0TSV++6gc65PUxIXEZGiaapNfD5wI3AYcGB8\n",
       "faw1cQ06wTsAcRW8AxA3wTsAcRW8A8hST5v4aOym7LtXTb+u9eGIiIjIUKXqdBERKZqm7th2ScbK\n",
       "Pj3gcERERKRp9bSJ/xK4Ob5uA8YBr7UzqA4WvAMQV8E7AHETvAMQV8E7gCz1nIlfUzV+BXYrVhER\n",
       "ERlkNsfu3uZBbeIiIlI0TbWJv5pYQQl4FpjRgqBERESkQLzPxIPz9sVX8A5A3ATvAMRVcN5+Uzd7\n",
       "OQBYPTG+OrB/sxGJiIhI+92bMm1+7lEY7zNxERGRvDV1Jp523/ThA49FREREWqGeJH438ENgY2AT\n",
       "4Mw4rYiCdwDiKngHIG6CdwDiKngHkKWeJH4CsAz4GXAV8AZwfDuDEhERkaFHbeIiIlI0TbWJz6Fv\n",
       "7/TxwG+ajUhERESaU08SnwC8mBh/AVinPeF0vOAdgLgK3gGIm+AdgLgK3gFkqSeJvw1smBifAixv\n",
       "SzQiIiLSUnsDTwI/ja8n4zQPahMXEZGiycx9adeAp1kL2CGu6A5gSQuCGogS9ccsIiIyFGTmvnqq\n",
       "0wHeAp4DXgG2BHZpTVyDTvAOQFwF7wDETfAOQFwF7wCy1PMUs6OAE4ENsNut7gD8Edi9jXGJiIhI\n",
       "CzwAjKFyv/TNgeudYlGbuIiIFE1T14m/AfwjDo8GFgCbtSAoERERaUI9SfwpYA3gBmA28Augt40x\n",
       "dbLgHYC4Ct4BiJvgHYC4Ct4BZKmnTfyA+Lcb6AFWA25pUzwiIiIyRKlNXEREiqapNnERERHpQEri\n",
       "jQkp0yYBc4EHsZ78J8bp47E+BH8BbqXvQ2SS9sY6Cz4KzEhMr3d5yU9ImabyL4aQMk1lXxwhZZrK\n",
       "fwC8q9NDyrSJwFZxeBXgEWAL4HTgy3H6DOC0lGWHA49h96MfiV3Gt0WcV8/ykq+QMk3lXwwhZZrK\n",
       "vjhCyrQ8y98797XMYPggNwB7YkdY5ae9TYzj1XakbyfBmfFFnctL51H5F5fKvtjaWf5qE8/JFGBr\n",
       "4E6sEJ6N058l/fGt62OX8JU9HadR5/LSWaag8i+qKajsi2wKTuWvJN6YUGPeKsC1wOexe8wnlUg/\n",
       "kqqe1lXjfYOhFmKoCzXmqfyHtlBjnsp+6As15rmWv5J4a4zECvFyrEoF7AhqYhxeF3uATLVnsM4R\n",
       "ZRvEafUuL51B5V9cKvticy9/JfHG9KRM6wIuAh4CzkpM/wVwRBw+gkoBJ90FbIpVxYwCDo7L1bu8\n",
       "5KsnZZrKvxh6Uqap7IujJ2Wayn8AOrFaaWdgOda7cF587Y1dJjCHFS8TWA/4ZWL5aVivxseAUxLT\n",
       "s5aXzqLyLy6VfbHlWf4dlfuaubbO+4ME5+2Lr+AdgLgJ3gGIq+C8/Y7qnb4M+CLwTuzZ5Mdj18fN\n",
       "xJL4VOA2Kt3tRUREpEM1cm2d95m4iIhI3jJzX1eeUaSYAvwWeBfwJPbIU7C4XkiMl5VwiLkE52M1\n",
       "BGW9XTA97zjEh8q/uFT2xdZB5e+S+/qzCnA3sH8cX1o1/4WUZVzOxEvQU4LSXCiV7LW4BMd4xCL5\n",
       "U/kXl8q+2Dqo/DvuTHwkcDPwaypd8xdgnQcWYdfGzQU2r1quBFwK9MbxF7GegT1xPMS/TY+X4As3\n",
       "xiOu/azGYNxZ2I1yW7YRjQ+qcZV/ccfLw50Sj8Zdy38pcN+P4IEvwDVt2nSgcsbfC5xKB52JdwGX\n",
       "AWdWTT+dypNcZpJ+03jXM/GS/9GYOFD5F5fKvtg6qPw7qj9Yo9fWJXkl8Vmx8MqFeIVHHOJD5V9c\n",
       "Kvti66Dy76gk3gy3D1KCY66Hu3QUXkwq/+JS2Rdbh5S/kniLBOfti6/gHYC4Cd4BiKvgvH3v3Ncy\n",
       "Q+aDiIiI1Kmj7tgmIiIiLaAk3pjgHYC4Ct4BiJvgHYC4Ct4BZFESFxERkVyoTVxERIpGbeIiIiJD\n",
       "jZJ4Y4J3AOIqeAcgboJ3AOIqeAeQRUlcREREcqE2cRERKRq1iYuIiAw1SuKNCd4BiKvgHYC4Cd4B\n",
       "iKvgHUAWJXERERHJhdrERUSkaNQmLiIiMtQoiTcmeAcgroJ3AOImeAcgroJ3AFmUxEVERCQXahMX\n",
       "EZGiUZu4iIjIUKMk3pjgHYC4Ct4BiJvgHYC4Ct4BZFESFxERkVyoTVxERIpGbeIiIiJDjZJ4Y4J3\n",
       "AOIqeAcgboJ3AOIqeAeQRUlcREREcqE2cRERKRq1iYuIiAw1SuKNCd4BiKvgHYC4Cd4BiKvgHUAW\n",
       "JXERERHJhdrERUSkaNQmLiIiMtQoiTcmeAcgroJ3AOImeAcgroJ3AFmUxEVERCQXahMXEZGiUZu4\n",
       "iIjIUKMk3pjgHYC4Ct4BiJvgHYC4Ct4BZFESFxERkVyoTVxERIpGbeIiIiJDjZJ4Y4J3AOIqeAcg\n",
       "boJ3AOIqeAeQRUlcREREcqE2cRERKRq1iYuIiAw1SuKNCd4BiKvgHYC4Cd4BiKvgHUAWJXERERHJ\n",
       "hdrERUSkaNQmLiIiMtR0WhLfG1gAPArMcI4lTfAOQFwF7wDETfAOQFwF7wCydFISHw78GEvkWwKH\n",
       "AFu4RrSirbwDEFcq/+JS2Rdbx5Z/JyXx7YHHgF5gGXAVsJ9nQClW9w5AXKn8i0tlX2wdW/6dlMTX\n",
       "B55KjD8dp4mIiEiKTkrig6Hn+RTvAMTVFO8AxM0U7wDE1RTvALKM8A4g4RlgUmJ8EnY2nnQv/sn+\n",
       "COftiy+Vf3Gp7IvNs/zvddx23UYAj2NHPKOA+XRexzYRERHJMA14BOvgdopzLCIiIiIiIiKt1+Ud\n",
       "gLO3gfsS4/sBT2a891VglbZHJB7WBObE4YnY/8VirP/F9sBbTnFJe+n3L/rtD3KvtOm9MnidCpxU\n",
       "NW24RyDSdvr9S9Kg/O130iVmnWAsdlR2N3aE/tGU96wL/A6YB9wP7Byn7wXcHpe9Oq5LBqcuYBZw\n",
       "LnAHcDr2A/9S4j0PAJPj8KeAO7H/iXPR72qw0u9fBt1vv+g7mzHYlz8PuBZ4AzgA2AbYHTgjZZlD\n",
       "gVuArYH3YL3oJwBfBfaIy97Nikd0MriUgPWAHen7A07OB7uC4uPA+7H/ieXAJ/MIUJqm37+kGVS/\n",
       "/U66TtzDP7Avv2wk8D3gA1iBrAesDTyXeM+fgIvje2/Art8L2P3eb4/vGZUYlsHr59S+L0EXlR33\n",
       "XXHaGGBRm+OS1tDvX7IMmt9+0ZN4tU9iR9XvxTo4PAGMrnrP77Ef+YexapcfAkuB2dhRugwdryeG\n",
       "36JvzVXy/+JS4Cu5RCTtpN+/lA2a337Rq9OrrYYddb8N7AZsmPKeyVjvxQvja2us7WQnYOP4nrHA\n",
       "pu0OVnLVi+3ciX/fgR2p3wb8K7BWnDeeSnuZDC76/UuaXjr4t1/0M/Hq6pL/Bm7COrXcBTyc8t7d\n",
       "gJOxJ629AhwOLAGmA1cCK8X3fRV7LroMXsn/j2uxsn4A68jySJz+MPA14FbsoHgZcBzZlypJ59Dv\n",
       "X7Loty8iIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIp2u6I8iFZG+urHrn1fDHvRxm2s0IlJT0W/2\n",
       "IiJ9lW9ycaprFCJSF912VUS+it2F6vfAZnHaJcCBcfgb2IM/7gfOSyy3HXZ3s3nA9+N8EcmRkrhI\n",
       "sW0DHIw9VnMfLDFXOxvYHng39qSmD8fplwBHYfcPf4vaT30SkTZQEhcptg8A12HP0n4F+EXKe3bH\n",
       "HvJxXxzeElgdWAW7lzTAFaiPjUju1CYuUmwlspNvCXvs4n9hZ+zPYG3lo1nxrFsJXMSBzsRFiu13\n",
       "wP5YYl4V+EhiXheVZyc/j515HxTHX8LO3LeP459oe6QisgKdiYsU2zzgZ8C92LO0/5SYVwJeBC7A\n",
       "HsO4iEr1OcBn4rzlwG+xxC4iIiKDwNjE8EzgTK9AREREpDEfx87k7wduAtb0DUdERERERERERERE\n",
       "RERERERERERERERERERERESkMP4/TiNzyJZ4pDUAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7532e6850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python2.7/dist-packages/numpy/ma/core.py:3847: UserWarning: Warning: converting a masked element to nan.\n",
      "  warnings.warn(\"Warning: converting a masked element to nan.\")\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAiMAAAFeCAYAAABXfh8zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmcHFW5//HPZGNJAgkkaBIgIztR9l22CouCV/ZNwSXI\n",
       "VdGLohdFVJB4WVSUTZBVIG4BRBRBL8jiDCDITsIS4EeAQNiuBAKJLBKS/v3xnLKqe6qXmemup2fq\n",
       "+369+tXdtZ2nu7qrTp1z6hwQERERERERERERERERERERERERERERERERERERERGRNjIDOKnG/MVA\n",
       "ZwvSbdV2W20Gg+/76gSWAUNasO0ZDL7va82w/Y4mbGsesGuVeTsCjzchjby2GzsM+EsLt59lOvCr\n",
       "8LqZ+0f6qRUHFRmcSuFRzWjsgNkf3cARLdiuB31fvTMYv6/nwvZrfa5G1fp+bgc2aEIay4C1WrDd\n",
       "an4DfLSF28+S/g6buX+kn5QZkd5o9RXEYDso6PvqHX1f/lRKIC6UGZG0DbGrx4XAI8BeFfPHATcC\n",
       "i8Jya6bmpa+qlgN+AjwLvAycDyyfWnYfYBbwBjAXuzo6BSsWPhcrOv1pxXa3AV6i/GC5HzA7vB4C\n",
       "HBe2twC4EhjbwGf+TIhzAXA8tYvDKxXx+wL4VIj1FeA7Da4Dxfu+OuldtdbewKPY99NFz1KJrcP8\n",
       "14BLse8BIALmp5abCFwN/AN4GvhKat4QbJ/Nxb7ne4HVgdvC/NnY93NQxXa/BVxVEc/Z4QGwMnAJ\n",
       "8CLwPFblVu9zT8NKX7JcD/xXxbTZwL7h9ZnA/2H7+CHgg1W28wHgVuyz3oj9xmKdlO+fw4E5Ydmn\n",
       "gC9UbOtYks/3n/QsSRKRJhiOHaCOA4YBU7E/5Xph/ozwfgdgBHAW5QeS9B/zTOAaYAwwCrgWODXM\n",
       "2xp4neSEPxFYP7zuAj5XEVd6u3OB3VLzrsIOEABHA3eG7Q0HLgBm1vnMU7AD74fDOj8G3gV2qbMe\n",
       "FPP76gzbvxA7EW4MvENjRflF/r4ayYysB/wzxD0U+CbwJPZdgWWSHwImYZmgv5G0sYlIMg1DgPux\n",
       "jPUw7GT8FPCRMP+bYTvrhvcbA6uE15Un1/R2JwNvYt83IcYXse8b4A9YpnAFYDxwNz1P5pWmUT0z\n",
       "8unwGWNTsEzacCxzeR+wUpi3PvD+Ktv5O5ZxHY5lRhcBvwzzOinfPx/Dvi+AnbDPu1l4vweWWd0Q\n",
       "+4y/BpaizIhI0+2I/dnSZgInhtczKD/4jgTeww6OkBzIOrCDavpPuh12hQZ2Iju9Sgxd9KzTTx8g\n",
       "T8KuvsDqev8JrBHez6E8EzEBy1jUOhF8D6u3jq0A/IvGMiNF/L46w/YnpqbdDRxSY51Ykb+vRjIj\n",
       "JwBXpN53YFfgO4X3z1B+ct8TyzxBeaZhG6zEKO3bWEkKwBP0LJGK1cqMgGUcPh1e755K/31YpjRd\n",
       "OvVJ4K9V0olNo3pmpPL7PwX4eXi9C/Y5tqH2d7smsAT7X8d+Q9KAtZPa++cPwFfD60tDDLG1UclI\n",
       "U6maRmITKT/wgB3U4hNPCTs4xt7EiosnVqwzHlgRuzpbGB7XkxSPro5dqVVTq17/cmB/7Mp5/5BG\n",
       "HHMndvCI05yDnczeV2N7Eyj/TG8Dr9ZYPq2I31fs5dTrt7CMQz1F/r4aMQFrUJmOcz5JZgzKv7/n\n",
       "6PndgJVgTEzFuRDLjKwW5tf7fmqZiWUyAA4lychPxkoeXkqleQG2r/pqMfDnVHqfSKX3V6y67WdY\n",
       "Vc2FWOalUvw9vJ2aVplRS9sTuAs7BizESkpWDfMmUP79P480lTIjEnsRuwpJ15lPBl4IrztIrlLA\n",
       "imtXCeulLcD+/FOw4uSxWHF6XKQ6H1inSgz1GhjOwQ4me2IHw/SV9HNYUerY1GNFel6Np72EHZxj\n",
       "K5AcfOop4vfVH/q+ansR+z5i8ffxQmramhWvK78bsM//TEWcKwEfT82v9v3U8zustGQS1nYj/n7m\n",
       "YyWKq6bSXBnYqI/pxC7HMiPbYaUuXal55wBbYr+D9bDqp0ovkeyn2GSyfwfLYe1sTsMybmOB/yX5\n",
       "vb5E+e9zDUSkJYZjV0zfCq8jetbpvwFsj105nkn1Ov2zsAZ+8ZXRJJI6662wq45dsMzwJJI6/csp\n",
       "Lwqt3C5YHX4XdkW+Smr618L0+IA9HmsQWMuU8Bm3C5/pR5S3GYlC+lmK+H110rNYO90OI0LfV1on\n",
       "5d/XdMpPqGlxm5FdsO/nG1g1SFabkVWw9hQnh3kRyVX7UKxE51gscz0U+BB24iZsdzaWIemgvM3I\n",
       "S1j1Syy93dj/AjeFNNKuwfbL6PB51yapYqpmGtWracB+B69hDU/TVW9bYlU0w7FSuetJqvsq/R1r\n",
       "CzYca4/0BtltRkZjJV07Yd/Lnljp3P+EZffAMn8bYJmbX6BqGmmBCPtTnA/s7BuKqynYXQyvY3c7\n",
       "7JOadxlwHnZgWByWS1/JVd7tcAp28nkDu+I8KrXsvtgBcRHWSC8+AG6L1QW/hh3YKrcLdkWyFLiu\n",
       "IvYO4OtYJ02LsAP5ydT3WcrvpnkeOyGC1Y/XOlgW7fvqDNuqlhnR91Wuk/Lv6xJqd+y2L3a3zOvY\n",
       "97phat4zWEYuvtvmMpI2GhHlmYYJWKnFS9hnvZMkgz0E+C7WxmYR1uYnru75InbCXQgciB0L01VH\n",
       "YHdSLQOOqZi+Erb/5of4HwAOrvFZoX5mBKydyFJgi9S0XUju+nkFawOyYs9VAWuQeltY9kbsLqp0\n",
       "ZiS9f76MVUEuDMvMJMmMgDW+fgk7RhyJfQ/pajSRftsJy/FfiuXopXeGYH/M1est2OZGYQ3e4pPg\n",
       "xZRfKTbLYPm+Kun7qu1BGr99ujd2oe/tQDx9DrjFO4g+2hArSVFTB2mquF5wNeyWLemdTbBi7WH1\n",
       "FmxDe2FXVSOxRneVxc+tMJC/Lw/6vmr7KlZ1MtCcjmVgB4r9sFK5sdjt5L/3DUcGikuxltYPV0zf\n",
       "AytqfRIr9kwbQc+OfaS2A7AqjqPqLejkMKyItvIR/y4uxoplX8cO6OtmbKOZBvr3lTd9X7WdjZWK\n",
       "7JBTer11Adnfz/XYd9TK7uab7XrsOPEq1ti1WXdSySC3I9ZhTfqgMBSr6+3EGjTNworb9sP+NFdQ\n",
       "v9GViIiISMM6Kc+MbAfckHp/XHiIiIiIk6LVwU6iZ8c12zS47lzUuFVERIplNrCpdxADXSflJSMH\n",
       "UN5g6lNY5zmN8B7xc7pz+uJruncA4ma6dwDiarpz+rmc+4p2W9IL9OxFb6B069vpHYC46vQOQNx0\n",
       "egcgrjq9A8hD0TIj92F3S3Rid84cgt2iJSIiItJ0l2O9Cf4LaydyeJi+J9YL41xsAKlGeVfTRM7p\n",
       "i6/IOwBxE3kHIK4i5/S9z31SQTtERESKRm1G2tB0/HKpWemuj3UxHT/eAI7GxlOYjfWjcgtJO5nl\n",
       "sRKjh7DxPNK3NXdjncHF20oP/30wNibGIyTDeFe6IaT3KDYGx/Aw/b/DtNnAzZSPPCqNi7wDEDdR\n",
       "xrTe/vdXwca7WUzPRvuHhHUeAX5YMa+R//4I4CKsxPkxrN8msMEO4/iewDoXlN6LHNOd7pS21OBd\n",
       "MhLVmT+EZJjr0anpX8EGmwIbmOry8HoFbPCtOHPQBWyesd11sUGvVg7vx1VJf1Tq9e+wO5XiuOMB\n",
       "vY7EOpaT3ou8AxA3UZ35jfz3V8QGgPwi5ZmRVbGBIlcN72eQDKrX6H//+5QPKLdqxjJHpWKR3omc\n",
       "01fJiJTprjN/N6xb6PnY1U9sFNadNtgBayTWE+1I4F1s5M5YBz19HjgXu/Iita1K/wzPw7ErpXi5\n",
       "buCd8PpuBv5gZ166M6ZVuzo+ELuaXUp5BrPW1fHh2G3ws7Fur9MnlP6UjDW6vlTXXWd+I//9t4A7\n",
       "sDZ0aWthQ2O8Gt7fgnWBAI3/9w8HfpB6/2rGMoeSXAhJ73R7ByDtxbtkpJ5LsSGwY6dgw38/DoxJ\n",
       "Tf818A8s8/Cfqeld2MniQeD41PQ/AD8C/gb8HfhojRj+gg1ZfmWV+ecC36nzOaRv0lfHGwDr0bO0\n",
       "q9rV8QjsBLJKeP8j4MTwur8lY42uL33X6H8f4LOU7/uxWCZmMtYJ5tXAH8O8Rv77Y0Jap2ODTP4W\n",
       "G3A0bTJ2M0HWxY60v3Y/9xWO9w6JaswbAbxCeTuP2HHAZeH1p7CDzdCw7OPAB8K8ieF5FJap+HR4\n",
       "/6fUOp3YgSc+sWRZDrgGO+ilfQq4k/IrZmlcVGf+R7CTRlq1qrdplJ+QhmB3l62JnTAuIMmonoYN\n",
       "9d6o4djt8nv0cX3pKaoxr9H/fqwyMwLwceAu7P/5E5LRaBv5748DlgH7h/dfB35Zscy3sAH9pG+i\n",
       "KtPHYBn/x7A2gNsCWwP3YheV9wJbhWUPo7wUdSmwcZhXrVRzJ+xCokRSWlZpBeDPIYZHKC8hWwe4\n",
       "PaQ3G7uTVZqgnTMj+1A+5k7amtiPBOA8kitWsB/eQRnrpA9Y52Mnr9jNwBa1Q+XTWClIbDfsz6Kr\n",
       "4r6L6syvvDqG6pmRrBPSf2BVdi8Ct5Jcxfa3ZKw360u2qMa8Rv/7sax9n/YFkkasjfz3O0iqaMFK\n",
       "5irTfAA7UUrfRFWm/4Ikoz8Myyh2k/zH9sSOAZU+hFXNxaqVak4GNqJ+ZmTn8Ho4cBvJhcgMrBQW\n",
       "bEDaZ6psA1CbkYGku8a8T1JeH7tu6vU+WM4UrCQkbpw2EjtAPIZd+cQZheHAXiTd6F9D8mcYhxX/\n",
       "P12R/khgQng9DLvSitPcDLvS3ovqdc5SX3eNeSOw7/eqPm57JeCnwCZYCdlDJNVpw7ErnJ2x39nF\n",
       "VC8Z+yj2O1iOpGSsN+tLtu4a8xr978eyqkriapWxwJdIGpo28t8vAdcBU8P7XbEr7NgGYbt31fgM\n",
       "Ult3xrSVsZHpLw3v38Pa9rxE8v8ag/U6XulQym8kqNbe71nKh1PJ8jZ28QKwBMt4TgrvG4lF+qCE\n",
       "76291YzEfjzpVvS/w35Es7Bi1vhgsxzWZuRh7IBxTGob95Hc3ncm5Qet08PyD2GNEWPxge59wD1h\n",
       "/YeAH6fWvwn7UcbFg9f09YNKVdWujhstGdkGu+qN7YQVvUL/S8b6sr40pjf/fYB5WNugxVg7kQ3C\n",
       "9JnY//tRyv/fUP+/D1YCcyv2/7+J8kbqJwKn9upTSSM2xW4IuAzLAFyMtQmbjO3b57ChTtbIWHcu\n",
       "MKViWlapZoSd82qVjKSNwRpSd4b3K2G/nflh25s1sA1pQDtX08jgF9WYdwU92+iAZUayTvzTKM+M\n",
       "jMcOXHHp2ElYhhKstGNGeD0OO8iNrdheZcnYlcARvVhfaou8AxBXUca0LbGSiLhNyFnY//Zmkn5e\n",
       "DsIyh2nbYBnLLNXa+zWSGRmG3YX31dS0n2NtiMBK4R+tXEn6RpkR8RRVmZ51dbwfdjXyNvAydpCI\n",
       "zSP76vgzJLf2/pHyDEN/SsZqrS+NibwDEFdRxrT3U94GYwesNLOyq4Y3KHcm5Z1dVqps7wd27ts/\n",
       "Y9m0S7EMUdockiobsFITtRtsAqfMSOkiKHWnHjN84hARkTZyG9aOB6w65TTs9uq4Qemu2B01sSFY\n",
       "CWhnalqtUs1YvZKRk7Hqwcr2SL8nKWXZkDptRnTfd+NKuHxfpW6SHxdYzvcX2O2TS7CGS9Wea8zr\n",
       "8C7pEZGaSheRnGwA5kHHNJ9YpA1tglWFjMBKHQ7HGjD/DKtyeRu7wy4uwYyw9jsfTm1jNewW7uWw\n",
       "89tfgGOx891WWIZidaw09SXs7hrCNjcL857DboR4N8w7ByspWRu7Y3NM2N43KW+bVkaZkcY5Z0a6\n",
       "SZXWvYoViQ/DWkA38lz5eim1MzJ9yOD0+blF2+xY1rvvuh3FJ6Q/joF9XqfwJ6RSB3aFNzQ8hlU8\n",
       "15vWl3WatZ3errMRsFLqv/8uNsbL/8N6NX4H61G1v69T0zqWNrwrJC8Rvr2w5nLuG9bqBKTpFgAn\n",
       "QMcFfd9EqQM74DWakamVsenN83It2GaNbZWW0daZpYaW3RjYJnU37EZQ+j5WLJr3ydTrpFw5rUSS\n",
       "mU4/92VaM9d5F7sabVbaZ1N+B8KIMP1K7L+0fHikX4+qMr2R18uH/0wzMzpVMj01X7+rktviUclI\n",
       "47xKRmZgHVKNwzIiN0HHofnHMdD8+wq6SRmbVmSWGnpeg2SgwdibWOO1vp5MW31SbuV2lg6OEq9G\n",
       "9KiibcKFSM30OrDfXLUMS28zN319PQzLlLQio9OL7bV9KdE8rNp+KXbhsnV4nIsdP97DqmnuxYZ6\n",
       "uBq7C2cGNogiWKdlv8PGKFqK9Rnz7TBvJ6xR6mbYeFdXV4lji7DN5YH/xcbHAhux/YgQxytYB23P\n",
       "Vfsw7VgysivJYE2VGYASVkXxN+yLy9t0rLisO78kO6ZB6Ujs+7i6dQeiwaYjvnpu9wNKHXVPSPPo\n",
       "eUACO9h8OUz/M9Yl9wjgQuzgsQw7aNxK9gHpu6k0D8b6iyhh1YOHZQQ6AjsI7hy2/V2sLnodrC+E\n",
       "UVjm8DjK7+6R6uYBH6T8QqSF//+OEvYbWkL5gHs5Kw2hORmglXqxfMa00lJan+mpte0zsP9PbF5F\n",
       "FW0Jq8J5LTXtNOAErO3HnuH91LDN47HeVz9U8YWfhh0HhmPn3j2wfosmYJ3V1esf5Hws03EPlhmJ\n",
       "138A6/X7HWzE9tOAT1TbSDtmRnbCvpC9yL6DZVXsS909z6CC6Q5pEg5Aj5OdCZpH4yej3bGxA0Zg\n",
       "RcrfJOku+HAsJ7sM6xL8U1jGr9GTSbXc8RkkvTOuiDWYUj8TjZsHfBC6x0GUdULKOiBNBfbGqniW\n",
       "kIxb8nls/24cpl1P0k9BtQPSutg+/zB2m2C1W/O+i91GvH54H4/6ezzW0d6FWIv6/yUZD0lqii9E\n",
       "rvlP2PfnGRmRedT/7/8J23+HAd9IrbsxdpJ5CBtY79PY/zJ9i3jsAKx33y2xE0zaaOyujtjq2P7+\n",
       "OtYB16XYb+Y17JjSQC+cHcuw6q636y/bKqUOkqrl/pT0rIzd+t6XzNVIoCPVZuiD9nso+x1UltZX\n",
       "6/U0HrV53Yrla/WgemV4fKnGFzUB+w3cE97/EtgXO3Z0p5a7m/KhSAaNS8nu5KmVvOswoyrTnyEZ\n",
       "bTU2FevsJh7wKD4ZbYrdnw52xfV8eF1r1NYZNDa+wD0kB8M4d1zpKJKupqVhpSPhD/eFErJKz5Cc\n",
       "+GO/Jen2P+1cyg8IN5NkRtLOIrm9r9GB7p7DSlgq/QBrnQ+wHT0H85P6oirTe/PfT6scm2Rr7LiQ\n",
       "VRoSZzbuJLs330r3YX1egGVg4gE3p9JzAD2pqdQNpRJ0ley5VIJSuhOzp7G7Wu7DLjSgfg+stcYm\n",
       "quxB9d+BUP3W3i0p71htR6xktdKgHrG9csyFVvPOjFTTm5NRWgeWARlO7VFbGzmZTMBu7Yp9Imyj\n",
       "0p1YNZw0T9YB6UGsFO8u7OpkyzD989hvYyhWOrGQpLfGWOUBqb/DyKtL6Nbp63//VKy3zkpZmZGz\n",
       "gI9RvTfftPUobxPwCMlVdlYHXFJTnBn59+OViguSuH+Q8Vj3/ztSvwfWapmRYfTsQfXfgdC/zMin\n",
       "GOQjtiszYnpzMko7ELgx9T49ams3ySCKjZxMGvlBTg7bVqPp5so6ID1MMmT7ViSDmw3Fqs3iMYL+\n",
       "jFXnxLIOSNfRv2Hkf466hG6Vvv7359JzbBLomRnZnGTwxWrjHKV9DytJi/2G5Le0P/YbURVtw0oz\n",
       "QgYkzojMrLHwidhYY/V6YK2WGcnqQfXfgVC9B9bKC9FPUn4huhsFGLG9aJmRqMr03pyMYh/EDkhx\n",
       "3f1K2NVw/P4ckgaMjZxMGsmMfCsVk/Re1MAy8QHpesobvc6l5xU0WB3yBqn3WQek/g4jry6h+y+q\n",
       "Mr0v//1aY5OkMyNDsMzM5PC+kZKRRym/WJmAZWQfwH5X87FjjTSsahXtiiTte0Zi/+WPYt91tR5Y\n",
       "oee4VFC9B9V/B0HtHljvxn5XHZRX0W+GHXvWrrHuoKDMSE+NnIxWxzpO2i41v9aorY2cTOrljsH+\n",
       "JNs28BkkW5QxLeuA9BGsjc/3w/R00fkKYTmwxszdqW1VOyA1OtDd5SQNlaeRjP7Zqy6hJVPUwDKN\n",
       "ZkRrjU2SzoysjN2O+Ux4vI3tu2qlI5tgx5VqRmGZEem9KGPaB7AM6Cws4x/fjrslljmYhVWrpjOH\n",
       "8+g5LtXqWInVoyQjq8dtxLYKy5Wwu7keTm0rff7dIsybC/w0Nb0wI7ZXDubTat6ZkSy9PRmNwW7N\n",
       "3LdiO7VGbW30ZFItdwz2o6/W8FX6rtoBaTjwK+wAcT/JwawTuytrDlZFFzduq3VAgv4NI782lumZ\n",
       "FZbfrS8fVHro7X8fsscmSat1O2+9apofkjR6j61KUt17Cm53I0o/teO5L1fvx/q1vyG8n0LPAXzy\n",
       "1I47pLcno+Ox4vQHU484A1Jt1NZaJ5NGcsdgB6lT+/IBRSRTb//7hNd3ZmzrNOwK+L3w/L2MZSoz\n",
       "I5Ul009RPo4OWNH+/8NKTC5iEDdgHOTa8dyXqxuAQ0jqN4eT1EN78N4hkXP64ivyDkDcRN4BiKvI\n",
       "Of1czn1D6i/iZhxW7xz3oBmP1+FpOv4/DBERGeRKcFEJuq+Bs0rQXUrabuUlIseqtXa+zbIbK+a7\n",
       "GWuEsy3W38HONdZpJaexaaTISla8XTaMfEf53S0ySBVl35fsuJoeidnr0Q4xpB/rkTQ4hzAUREd2\n",
       "H06tVPhRe4/Bbg9dC6vnHI/1jVEorT4gpQ4EHZS/zpqm+fnP/xjldzNtXbKGpw+TFJ/We25kmYG6\n",
       "bDvF0uxld8Aajcc2D//XvzG4Ts5DSEZi9nwsa3C5Jdh4K62OJx5HKjYOu0AflOOTtXNm5H7sFtMN\n",
       "sD/gE9h4KkWzHrBzN/+uH9qxZHfD/Iv+n+xipfBYVvFc7bXm93/+0gbXfwdSo1PY7bmTsDFHILli\n",
       "qfbcyDLNWLajF8s2K4a8P2Pey46Dsn0/GmtAvoTWnzQbPTE35dFRnkkToBT67unm3/t/AdVHzh3w\n",
       "2jkz8hBwBdZu5CnnWNrJEOyOl0NowslSB4H2VrIeUtdOTVoAnNUxSK+OJFGy89DOqUkLgJO07wtj\n",
       "HhWjNmvf++jEeu28H+vu+BtYXwZeXE7aJWu4lB6g4JWSDccsBVCCGWGfx/u+VpfQMoho30sJjizB\n",
       "Tc7HfF2wpqyLjXWxtN6CLeSVGdEBqeDa5IAkDrTvpQ0oM0J56cg9WKNWL247pARH/gHu0wGp0CLv\n",
       "AMRN5B2AuIqc08/l3NfObUbuBkZgQ2IfRM8Bnwoj1BM+TvlYIiIiItJi63sHUEFFVSIiUjS5nPs6\n",
       "6i+Su09jYyscg30J6RhLwBkeQWXEIiIiMtjlcu5rx+7gVwzPo8NjVOoxutpKOZmOX/2dV7rSHiLv\n",
       "AMRN5B2AuIoc053ulHZb2aHBaXnxrqaJnNMXX5F3AOIm8g5AXEXO6Xuf+9xVDlEN8EDuUSQKv0NE\n",
       "RKRwCns3zXbAh7GxaP6bpK5qNDaOgYiIiAwi7dhmZARJxiPdZmQRBRwoLyXyDkBcRd4BiJvIOwBx\n",
       "FXkHkId2LBm5NTwuA551jkVEREQK7CZgTOr9KsBfnGIBtRkREZHiyeXc147VNLHxwOup968B73OK\n",
       "RURERFqknTMjS4HJqfedwDKfUNpC5B2AuIq8AxA3kXcA4iryDiAP7dhmJPZd4HbgtvB+J+ALfuGI\n",
       "iIhIK7R79+bjgW3C67uABY6xqDt4EREpmsJ2Bx8bAuwBbA78CesmfmvXiERERKRQLgDOAx4L71cB\n",
       "7vMLx/1umsg5ffEVeQcgbiLvAMRV5Jx+YXtgjW0DbEbSLfxrwHC/cAAbNKg7PERERAarCP+MUFu4\n",
       "G+uFNc6MjCd7vJq8eJeMiIiI5K3w575PAdcCLwCnAv8PONgxnsLvEBERKRyd+4ANgaPCY0PnWLx3\n",
       "SOScvviKvAMQN5F3AOIqck6/sG1GVsIGxVsF+D/g8jC9BIwN85b6hCYiIiJF8OfwPA94JuOxAPiB\n",
       "Q1zeJSMiIiJ507mviqEkt/vmSTtERESKpvDnvg7gAOBM4HRgP99w3HdI5Jy++Iq8AxA3kXcA4ipy\n",
       "Tr/wo/aeB3wReAh4FDgyTBMRERHJxeOUZ5aGhGlevEtGRERE8lb4kpG5wJqp92uGaSIiIjKItGNm\n",
       "5LrwGI01VL0V6359TphWVJF3AOIq8g5A3ETeAYiryDuAPLRjPyOnV7yPi4g6UFWJiIjIoNPhHUAd\n",
       "7we2wjIh9wD/cIylRPt/XyIiIs1U+HPfwcCzwC/DYx5wkGM8KpUREZGiKfy57yFgtdT78WGaF+8d\n",
       "EjmnL74i7wDETeQdgLiKnNMv/N00HcArqfevUvCiIhERkcGonU/uPwY2AWZicR6ClYwc6xRP4evN\n",
       "RESkcHTuw7qDPyM82qE7+On4F5mJiIi0WoSd87ybKEgF7x0SOacvviLvAMRN5B2AuIqc0y98m5FK\n",
       "NwM3AB/3DkRERESKaRKwJfBfTul7l4yIiIjkTee+NqMdIiIiRaNqGikTeQcgriLvAMRN5B2AuIq8\n",
       "A8iDMiMiIiIiA4SqaUREpGhyOfe146i9ZwNHA9dlzCsBe+cbjoiIiBTNFuE5ynjs7BBPzLtkJHJO\n",
       "X3xF3gGIm8g7AHEVOadf2JKR+8Nzd53lrsZ6aBURERFx8WDO6XmXjIiIiORNt/aKiIjI4KfMyMAR\n",
       "eQcgriLvAMRN5B2AuIq8A8iDMiMiIiIiNawIrF9l3kfzDAS1GRERkeIp/Llvb+AJYF54vxlwrVs0\n",
       "2iEiIlI8hT/3PQCMofyumUecYgH/HRI5py++Iu8AxE3kHYC4ipzTL/zdNEuA1yumLfMIRERERIrp\n",
       "UuAw4GFgXeAc4ALHeLxLRkRERPJW+HPfSOBU4L7wOAVY3jGewu8QEREpnMKf+zb3DqCC9w6JnNMX\n",
       "X5F3AOIm8g5AXEXO6Re+zcgZwOPAScCHnGMRERGRgpoAHA3cgbUdOcExFu+SERERkbzp3JeyEfBr\n",
       "7A4bLyVgOv5FZiIiIq0WYee8wmdGpmBfxCPArcCXgdUc4/HeIZFz+uIr8g5A3ETeAYiryDn9XM59\n",
       "w/JIpI+wHKlhAAAgAElEQVQuBa7Aun1/wTkWEREREXfeJSMiIiJ5K2zJyFXAQViD1UolYON8wxER\n",
       "EZGimRieJwOdFY/JHgEF3iUjkXP64ivyDkDcRN4BiKvIOf3C9jPyYnj+MjZib/rxZY+AREREpJge\n",
       "zJiWVXWTF++SERERkbwVts3Il7ASkLUpz3yMxjo/ExEREWmplbH2IVdQ3m5kVbeIjHfJSOScvviK\n",
       "vAMQN5F3AOIqck6/sCUjb4TH2cBCYFGYvhKwDXC3U1wiIiJSMLMob2A7lOx2JHnxLhkRERHJW2Hv\n",
       "pklblnq9FMuQiIiIyCDSzpmRZ4CvAsOBEdjovU+7RuQr8g5AXEXeAYibyDsAcRV5B5CHds6MHAls\n",
       "j41L8zywLfAF14hEREREHKnNiIiIFE3h24ysD9wCPBrebwwc7xeOiIiIFM1t2K288R00HSQZEw/e\n",
       "JSORc/riK/IOQNxE3gGIq8g5/cKXjKxIeZ8iJWCJUywiIiJSQNcD65CUjBwYpnnxLhkRERHJW+HP\n",
       "fWtjbUbexkbyvQPrFt5L4XeIiIgUjs59wUhskDxv3jskck5ffEXeAYibyDsAcRU5p1/YsWk+DfwK\n",
       "OIbsL+FV4Fps3BoREREZ4Dq8A8jwReBCYDrZmZFxwFZYJ2h5KtGe35eIiEir6NxXw0kOaXpX04iI\n",
       "iOSt8Oe+tYHrgAXAK8AfgbUc4/HeIZFz+uIr8g5A3ETeAYiryDn9wvczMhP4LTABmAhcBVzuGpGI\n",
       "iIgUykMZ02bnHkXCu2REREQkb4W9m2YVrLHM9cC3SUpDDsG30zMREREpiHnAMxmPeLoX75KRyDl9\n",
       "8RV5ByBuIu8AxFXknH5hS0Y6vQMQERGR/LTzvcMjgC8BO2E5s1uBC/AbLE/3WouISNHkcu5r57tp\n",
       "zgc2B34WXm8RnkVEBI4GHgYeCa9jXwEeC9N/FKZ1YuN8PRge56WWPzxsZzbWLm/VjLRGAJdhNxbM\n",
       "AnZOzesGHk9te1yfP5FIG8q6myZrWl7UZkQ8Rd4BiJsoY9qHsAzE8sBQ4Casb6ap4fXwsNz48NwZ\n",
       "lq80AhtiY5Xw/kfAiRnL/RdwSWqb96XmdWEXjtIakXP6he9n5D1gndT7tcM0EZGi2wC4G3gHWIpV\n",
       "Y+8PHAn8gKQ6+5U623kPG+drFFYUvxLwQsZyG2KZjnibrwNbpuarClsGrV2B57A/2a3As8AujvF4\n",
       "l4yIiMQ2AJ7ASjRWBO4EfopVk0wH7sKqT+IMQyfwzzC/G9ghta3/ABYBL4Z5WRepn8c6oRwKfADL\n",
       "wOwX5nVhVUIPAsf383NJ47Kq6Q4CHsUyqFmlVWtiv4NjMuZdS3bpWQnYHSsNeyg8T03NHwFchP0e\n",
       "H8MyxYPO8sAmwMbAcs6xKDMiIu3kc9iJ4VasDciZ2Mnk7DB/K+Dp8HoEMDa83hy70BuFlYQ8hWUw\n",
       "AM4BvpuR1lDgDCzDcQ3wZ2DvMG9ieB4F/AUbeV1aq1o13QbAelSvOvsdcCU9MyP7A78huylECdgU\n",
       "eH94/0Hg+dT87wP/k3qf1eZoUNmS5EffbCOBe7ErhGq8MyORc/riK6oy/dvYldDD2BAKywFbA/dg\n",
       "J457sZNSbGPg79jV1EPYSQrgBqxh4qNY24Dh9NRJ9UaQsWpXV9J3UQPLnILdfXg95Y1L55J9cohP\n",
       "VtsAN6em74RlNOq5AzvxVfoslqGR5okyph0I/Dz1/njgm6n3WZmRfYHTsDZB6czIKOB2rCquWslI\n",
       "WgfWzig+RjwHrFA1+ga1c5uRSl/F/iRXtmDbx7ZouyKt1IkVn28ObIRdIX0Ca4R4ArAZ8D3sAATW\n",
       "r9CvgC9gV1Y7k7TDOhC7+vkgsDLW43GWuWG7mwFfrpi3P7AY/4x7UawWntckubK9hqQ6ez2SBqrj\n",
       "sN8H2ICj62KlJk9jmYr4DpjdgTkZaa2AXbTFyyzB7qAZmlp3OLAXyozm4RFgR5Jquv8AVq+x/Cjs\n",
       "PDc9Y95JwE+AtxpM+wDgfuw3MCZMOzlM+y3J73LQW6nJ29sdO/B+lvYuGakm68oYsm/vi5d/EjuQ\n",
       "fCQ1vZF6v1WwHPdiql/96Mo4P6tg+2ssltG4Dvs9Xw4cHJb5JPDr8PpjWGakluHYPtwjY14n1fdt\n",
       "vasrab7bsP/+LJI6/OHYPn4YOzlEYfr+JO067qf8WPcZklt7/0hSnbMXVgQPtu8fxzIqNwJrhOkj\n",
       "saqi2WH7Z6LGrHnJqqaLVZaM/ARrTwKWIYlLRjbF9jlU/3+nz30fxC5I4mq9ccAykvPF14Ff9upT\n",
       "DHKXAv9Hzy92D+wP9STwrTDtZGwn/gW7qqj2R2rHzEgndmUTZ0CuxDJV1W7vm4IduIaHdeeSfN5G\n",
       "6v1WBLYHvkh2ZqRWvaO0xhewzOE/SDIak4H5WPHp8yQnjqOxA8UN2Anpm5T7C/Aa1UsJO6neCPJM\n",
       "YJ+QtjIjIvk6FbuTKlaZGbmNZGiVhVhp2X+FdV4I0+cD/wL+WrHt+Ny3Onbxs11qXgd2TIitgWVK\n",
       "JdgRK0ZOHxSHYiffTuxkPAu7iot9FrtyrMY7MxJlTKt2ZXwl2XcefZskEwZ2UtomvO5Nvd80emZG\n",
       "dGXcWlHGtLWxK9VVsf3/B+AwrA1AfKfDQVjGFOAbWOZ1FWxf30nP38lyWKb8sxnpZTWCHE1jV1fS\n",
       "d5F3AOIqqjI9XU33GOW1Bl1YR6FZTgT+O2N6tQuJElYdMxtrd1LpcpKSuWn0sclDO45N0wy303OM\n",
       "m62xzMi88P4K7ErusfD+Fw1sd0Zq/dexDE13eB+F51a937TK/NOxk8J7WGPFm7A2Ap8BzsWumL+B\n",
       "ZRa2Aq5Orb8UmIT90JYLn28drHX9zPAZs+IphfWi1PzLsMzNWxnL631r9v9ULEPxang/Byu52hor\n",
       "8Yuw1vM/D69HY1dIr4X3j2GZir9WpHc1Vsr1bI14Vgrprof9rj4MvIT9DlcDHsAOeH39vHr/ne8c\n",
       "w+67j+aOO6xe/p13Xubkk/doeH29H+zvz8bO4UuAC7H/8ljsFu/VsHPB3cCeGeuvTfnxO8LulimF\n",
       "19OwkpA4j3BUWOdEkk7xdgcWYBe4vwLOws43hzMIDcXuoFkz9WhUJ+W5vAOBi1PvP0XvWn17l4xk\n",
       "qXZlXO32vnPC/NjPsZNOb+v9KlvM68rYxyZYkegKWHHpDOygcT/JHRW7YplUsAPV/WH5YdjBak+s\n",
       "3n9CWGYYdmVzREZ6lY0gnydpwBZTNU0zdHV10NV1G11dpdTjFbq6KhsNi7RaYUftjX0Fy4H9A7uC\n",
       "j23Ux+21Y2aiv7YkuTIG+D12hfp8eA12IlqGnUheIGk/AJbzfSGs/1Zqnd+RfTKqZtsQyzPYb2o1\n",
       "7Grbs5O6IpiNZRrvw/bxA9gV0l3YmE7LYbfifiEsvxDrK+Je7P/wZ+xW0PdhmcnlsEzNX7B2V2CN\n",
       "GLfE/os7Y22LloT0voiVnqV1MDj/a+W6uoZimbgVw2NknedGlkkvuyI926+NA35GV9c5WN3+u+G5\n",
       "HV6/C7zL1KmDf99LS7Rzq+ensOLmV+stWEUn1oYizrxsi7Uijos5v40dUH9UuWIV3qP2RiRFarFN\n",
       "sAajW2HdQs/A+pd4DytROhErRr8ZK1WaglW/bI1Vs9yMVcuUsHq/i7C6xmnYFXO12zunYfWRX8mY\n",
       "Nxn4E33PNEq2iJ77X7J0dXVgGav+ZghqLTMMy8C/BbxZ57mRZSqXfRv7f+7MrFmw6aZgReInYCWa\n",
       "I8JnXK6NXg8nzpS0TybJXk+dmr6gHWgifP/7uZz72rlk5Dmsi+JmuQ+7t74T6/b4EOy2x4Es68r4\n",
       "ojDvUqy4/F2s/QhYlc5vw/N7WD8R8ZVMtXq/9JUxWJuZ0djBZx/s9uDHUzEV48pY+s5KFVpRmpB+\n",
       "vYTeZQjexH73jWYe/tXyUoCurnnYrZTjsIzITUydekGY+x6N9wuRj66uIdhxIc6k9DdzMxJrbN3/\n",
       "DFNX1zKaWwrUrAzTkqq/o66ui4D1uOOOMWy//evAPKZOnVZvNwxU7VgyEt//PAXrjOdP2E4DO8md\n",
       "0cA2LseKlFfFDjDfwxpY7omdbIdivUz+oBdxeZeMiLRe/0oVGs081CpV6EspQuXz20ydOjgG1ezq\n",
       "OhLrZOrqVEZEesN+08NonxKk9OuhVC9NWoOkozmIS8by/x3kcu5rx5PrdJIr66yr7O/jQ5kRyV98\n",
       "dZR4Fmuk2oyMQbVpcalCq6ogWl+qIDIQWClhujQpnWH5JT1vz72ZqVN3zzXGAlfTTG9wuXPIbrPQ\n",
       "StOxurvu3FIsWFFdVVYEPCw8hlY8Z02rNa8Zy+eV5iRguVS7AbDeVRfReIbglV4sO3hKFQaPCLUX\n",
       "GpysLcvb4VGuq8s6EytvM3R1j+VaJyLHPm7aMTPSqB3qL9J00x3SXA/YmZH/Lq3biK6uE7E7XrxO\n",
       "xB4nbrAr9qVYfXnlc6PTmrX8v3JK8zckHdPF/uZwdSQi+ZpH9TZDeegOjxNrL9YcA7na4UGsl9W8\n",
       "+FTTdHV1Uz4KJ9hV7Dz8TsT5pzl16rK+fYEDXM/971VvLCJ5a482Q4WtppHadDIqlnn4Xh2JiBf7\n",
       "rxfi/z7EOwCpax6wgFmzQCej4rH2QSfwt7/dj2VCD3WOSPIXeQcgriLvAMSsWGX6tDyDwLPvjK6u\n",
       "IznppPtCkZ0UU+QdgLiJvAMQV5Fz+oW/8+3DWOdc88P7TYHz/MLRDhERkcIp/LnvHqwL8wdT0x51\n",
       "igVsh0zHP5cqIiLSahHl/X4V1j3hOZ0Zme0RSOC9QyLn9MVX5B2AuIm8AxBXkXP6hR+19zlg+/B6\n",
       "BPBV4DG/cERERKRoxmMjzP4D60HyN9hYM168S0ZERETyVvhz33jvACoUfoeIiEjhFP7c9yRwI3AE\n",
       "MNY5FvDfIZFz+uIr8g5A3ETeAYiryDn9XM597dzp2brACcCHgPuBPwGfdo1IRERECmsc8CvAc3wS\n",
       "75IRERGRvBW+ZGRlrJfV64G/Ay8BW3kGhPoZERGRYojwGam+7TwDnAVsR3uMLuxdMhI5py++Iu8A\n",
       "xE3kHYC4ipzTL3w/I2vhnwEQERGRFmuHEodKZwNHA9dlzCsBe+cbTlna7fh9iYiItEou5752LBn5\n",
       "ZXg+PWOeSkpEREQkN19rcFpevDNCkXP64ivyDkDcRN4BiKvIOf3C303z2Yxp0/IOQkRERFqrHdtA\n",
       "fBI4FNgRuD01fTSwFNjVIyjUZkRERIqnsG1G7sT6FBkP/ITkS1gEPOQVlIiIiBTPWsAKqfcrAJ0+\n",
       "oQCWO5yOX/2dV7rSHiLvAMRN5B2AuIoc052Of3tJd/cBI1LvlwvTvHjvkMg5ffEVeQcgbiLvAMRV\n",
       "5Jy+97nP3ayMabNzjyJR+B0iIiKFU/i7aRYA+6Te7xOmiYiIiORiHeBuYH54/D1M8+JdMhI5py++\n",
       "Iu8AxE3kHYC4ipzTL/zYNHOBbYBR2B01i33DERERkaJ5P3AJcEN4PwU4wi8c95IRERGRvBX+3HcD\n",
       "cAhJ3yLDgUf8wtEOERGRwil8A9ZxwJVYr6sAS4D3/MJxF3kHIK4i7wDETeQdgLiKvAPIQztnRv4J\n",
       "rJp6vy3whlMsIiIiUkBbYF3DvxGenwQ2cYxH1TQiIlI0Ovdh7UQ+FB7DnWPx7g5eREQkLxE5dgff\n",
       "jqPQ7grcAhxA+WiB8RfyKvA3krYkefEetTcCuh3TF18R2v9FFaF9X2QRvvu/sKP27oRlRvYiO0e2\n",
       "KnA8sHueQYmIiIikXeqQpurNRESkaAp/7hsHnAM8CDwAnE353TV5K/wOERGRwil8PyNXAP8A9gcO\n",
       "BF7B+h0pqsg7AHEVeQcgbiLvAMRV5B1A0WX1tvpw7lEkvEtGIuf0xVfkHYC4ibwDEFeRc/re5z53\n",
       "ZwCfxEpvhmBdw5/uGE/hd4iIiBROYW/t/SfJhx8JLAuvhwBvAqM9gsL/1l4REZG86dzXZrxLRiLn\n",
       "9MVX5B2AuIm8AxBXkXP6uZz72rGfkbR9sH5HSsCtwHW+4YiIiEiztXPRyw+BrYDfYHF+ArgP+LZT\n",
       "PCqqEhGRoin8ue9hYGjq/VDa826a18I8PQbW47WsnSkiImW8myi4e4jyTs5WDdO8VNshee2oKKd0\n",
       "imKg/cEi7wDETeQdgLiKnNMvfJuRH2A9r3ZhRUQ7A8e5RmQjGHajQatERGRwi8gxI9Tu9UATsXYj\n",
       "JeBe4CXHWKrVmxW+Pm2A0n4TEalPx8oKE4DlHNP3rqaR5tJ+ExGpT8fKCrcA84CfOKXvnRmJmry9\n",
       "GcBJNeYvBjqbnGYrt9tbA+0PFnkHIG4i7wDEVeScfuHbjFTaFeuFdUPvQAaJ+K6SaprR02038Cvg\n",
       "kiZvV0REBpF2HrU3yzLgUe8gnHS3YJutrgccaKUP7azbOwBx0+0dgLjq9g4gDwMtMyK9tyH2Y16I\n",
       "jYS8V2reOOBGYFFYZs3UvGXAWuH1clj12LPAy8D5wPKpZfcBZgFvAHOBjwKnADsC52JVMz+t2O42\n",
       "WIPkdIZoP2B2eD0Eu3tqLrAAuBIY28Dn/UyIcwFwPFa1t2sD64mIiLS9PrQZKV0Epe7UY0Yvk0yt\n",
       "/8qs3q/PcOxkfhxWJTcVy3ish7UZWQTsAIwAzgJuT62bzoycCVwDjAFGAdcCp4Z5WwOvk5zwJwLr\n",
       "h9ddwOcqYkpvdy6wW2reVcCx4fXRwJ1he8OBC4CZdT7vFCzj8+Gwzo+Bd4FdMpYdaKU2kXcA4iby\n",
       "DkBcRc7pD7Rj5aDXl8xIN5RKqccrUDqyF0n2c312pOft0DOBE4HLKD+5jwTeAyaF93GmoQMbSXmt\n",
       "1LLbAU+H1xcCp1dJvws4omJaOjNyEkl7ktEhnTXC+zmUZyImYBmLWqV538OGD4itAPwLZUZkYIu8\n",
       "AxBXkXP6uRwr27maZnHG43ngD5SfGAeSccD5FRmMGg92zlj/gF6kNxGYXzHtWZIMx/Op6W9iXaRP\n",
       "rFh+PLAicD9W1bMQuD7EArA68FSNGGr9kC8H9sdKZvYPacTxdmL7Ok5zDpZZel+N7U2g/DO9Dbxa\n",
       "Y/mBpNs7AHHT7R2AuOr2DiAP7ZwZORv4BnbinAQcg131Xglc6hhXfywAvgQdHY09uDVj/at7kd6L\n",
       "WElDul3GZOCF8HqN1PRRwCphnco038aqQMaGxxhgpTB/PrBOlfTr5ajnYJmjPYFDKS+peQ7YI5Xm\n",
       "WCxTVKvju5ewzFFsBcqHFBAREemVrHFoZoXn2RnzWq0v1TQzQtVKXMVSr81DjfX/tbD36zMcK7X4\n",
       "VngdUd5m5A1ge6xk4kyqtxk5C8sEjg/vJwEfCa+3wkoudsEyt5NI2oxcjjVkTUtvF6yNSBfwFpYZ\n",
       "in0tTI8b1Y4H9q7zeaeEz7dd+Ew/Qm1GZOCLvAMQV5Fz+gPtWNl0dwGHYCe4IcDBYRokmZI89bHT\n",
       "s9KRULqpl209Mta/sVq7jHqmYMV8r2N30+wTpl8GnIfdTbM4LDM5tV7l3TSnYBmbN7ASjaNSy+6L\n",
       "ZRAXAU8Cu4fp2wJPYNU/Z2VsF6x0ZilwXUXcHcDXgcfDducCJzfweT9L+d00z2MZrkoD7Q8WeQcg\n",
       "biLvAMRV5Jz+QDtWNt3awJ+wk8qC8HodrOh9B4d4vHtgzdMQLNOwer0F29woYAnlmazYYNxvIiLN\n",
       "pmNlHd/OOb0iZUY2wapNBlIPvbG9sLYlI7Hbge+vstxg3G8iIs2mY2UdD+acnndmJMopnQOwkqij\n",
       "6i3o5DCy77R6OMy/GGvD8jpwE7Bule0MtD9Y5B2AuIm8AxBXkXP6A+1YmTtlRqQ/BtofLPIOQNxE\n",
       "3gGIq8g5/YF2rMydR2ZkOj1/GNpRA5P2m4hIdRF2ztOxso6ilYxIc2m/iYjUV/geWOu5yjuAnEXe\n",
       "AYiryDsAcRN5ByCuIu8A8tDOmZH1gVuAR8P7jbF+I2Kn9lhDREREpIluw4aZj6tjOkgyJh5UTTO4\n",
       "aL+JiNRX+GqaFYG7U+9LWAdW0hwzsFFzq1mMDVbXbK3aLmG7y2jv37WIiFRo54P2K5QPwHYgtQdJ\n",
       "G+yiJm+vRO0c72hgXj/T6AaOaMF2iyjyDkDcRN4BiKvIO4A8tHMPm0cBFwEbYCPJPoN1eCXN01F/\n",
       "kX5RVYiIiAxoQ8PzKJLh6j0N1DYjG2IlFAuxgfL2CtMvA87HBspbFJZZM7Ve5UB5P8EGoHs5rLd8\n",
       "atl9sMEL38AGtPsoNrDee8DbWNXMTyu2uw1W0pXOEO1HMiLzEOC4sL0F2KjBY+t81s6w/c+EWF8B\n",
       "vlNl2XbfbyIi7aDwx8rnsJKRXWn9FXwjep8Zmc5FTKc79ZjRqxT7uz4Mx07mx2GlYFOxjMd6WJuR\n",
       "RdiggyOwUXVvT62bzoycCVwDjMEyh9eS3M20Ndb1+q7h/UTsTiiALuBzFTGltzsX2C017yrg2PD6\n",
       "aODOsL3h2DgzM+t83s6w/QuxDNTGwDtY6Vqlwv/BREQaUPhj5UjgEOAP2FXuucCOjvH0JTPSzXRK\n",
       "qccrTOfIhlPs7/r2fVW2s5kJnIiVjKRP7iOxkoxJ4X2caegA/kmSgQDYDng6vL4QOL1K+l30bDOS\n",
       "zoycBFwSXo8O6awR3s8BdkmtNwF4l9rtnDrD9iempt2N/Y4qDbQ/WOQdgLiJvAMQV5Fz+rkcK9u5\n",
       "zcibWNF8XDz/U6wqYWiNddrdOOB8pnN+P9Y/ACslaMREYH7FtGdJMhzPp6a/CbwW1nkhNX08dmdT\n",
       "evTbDpJMwerAn2vEUOuHfDlwB/AlYP+QRhxvJ5YRXZZa/j3gfdRvyPxy6vVbWEZLRETaVDtnRsBy\n",
       "hIcAewD3Age7RtN/C4ATmN5gZmI63cDOFetf3Yv0XsRKGjpIMgWTgSewk/0aqWVHAauEdSpjfhuY\n",
       "QnYmYD7ldz2l1ctRz8EyR3sCh1JeUvMccDjw9zrbKIpu7wDETbd3AOKq2zuAPLTzrb3zgK9hnZ9t\n",
       "hGVEenMibgfzsJM54fmmhjMizVn/Lqxk4Fis3UUEfBwrkegAPgZsj7UZOQk78b9QsY1lwMVYm5Lx\n",
       "Ydok4CPh9SVYpmEX7Pc0iaTNyP8Ba9eJcSa2n3ekvIv/C7B2KXGj2vHA3nW2VU07tDkSEZEBqB3u\n",
       "oEnr29000zmS6dzUy7YePdf/dNV2GfVMwXLWr2N30+wTpl8GnIfdTbM4LDM5tV7l3TSnAE9hd8zM\n",
       "wW69ju2L3QWzCHgS2D1M3xYrhXkNy8xUbhesdGYpcF1F3B3A14HHw3bnAifX+aydYVvpTHZWI1pQ\n",
       "mxEZOCLvAMRV5Jx+LsfKdrxi/BbwI+CcjHkl4Kv5hlOWdtb3VW16s0XkV1w3BGufsSbl7UoGk7z2\n",
       "W7NEFKS4VnqI0L4vsgjf/Z/LsbId24zMCc/3U54j62DgXc02U3eOaW2E3RL7cr0FJTfd3gGIm27v\n",
       "AMRVt3cARZfVWNWzAetA7fSstw7A2qccVW9BJ4dh1UqVj4d7uZ3Btt9ERFqh8MfKBxuclhfvzEiU\n",
       "UzpFMdD+YJF3AOIm8g5AXEXO6Re2n5E9sbs8JmF9i8R1VaPRqL0iIiKDTjs24NsE2Az4H+AEkrYi\n",
       "i7E7IxY6xeXdgFWaS/tNRKS+wh8rV6K8t9WhWE+gXryraaS5tN9EROor/LHyLqxX0NhobOA0L96Z\n",
       "kSindIpioP3BIu8AxE3kHYC4ipzTz+VY2c49sC6PDZwWW4xvyYiIiIgUzB3AFqn3W+I7Tol3yUiz\n",
       "zcC6gK9mMdajabO1artgnbQtprH6zYG630RE8lTYu2liX8PGKokHbptA9lDweZqOdUDT7RpFc5So\n",
       "/SMb3YQ0uoFfYePXNHO71TzX4u2LiBRFhH8VUdsYDnwI6xF0uHMs3iUjUZO3dxm1S0aaoQs4osVp\n",
       "9NVAKxmJvAMQN5F3AOIqck6/8G1GRgLHAUdjvWt2YiPOSu9siJVQLMQGytsrNW8cNlDeorDMmql5\n",
       "lQPl/QR4Fusi/nysTU9sH2AWNojeXOCj2MB6OwLnYlUnP63Y7jbAS5RXqeyHDbgH9ts8LmxvAXAl\n",
       "MLbOZ+0M22/n37WIiAwgv8UGzXs0vB9JcqLy0OuSkRJcVILu1GNGLxPs1/pYadJc7KQ+DJiKZTzW\n",
       "w7a1CNgBGIGNqnt7at10ZuRM4BpgDHaH07XAqWHe1tiIwLuG9xOB9cPrrBFz09udC+yWmncVcGx4\n",
       "fTR299TE8DkuAGbW+bydNJ4ZGWglIyIiHgp/rLw/PKe7gB9omZHuEpRSj1dKcGQvEuzX+ljJxEsV\n",
       "02YCJ2LVNOmT+0hspN5J4X2caejA7mpaK7XsdsDT4fWFwOlV0s+qpklnRk4iaU8yOqSzRng/B9gl\n",
       "td4E4F1qZzQ6UWZERKSZCl9N8y9ghdT7tcO0gWwccH5FBqPqA9g5Y/0DepHeRGB+xbRnSTIcz6em\n",
       "vwm8FtZJG4/dUn0/VtWzELg+xAKwOvBUjRhq/ZAvB/bHSmb2D2nE8XYCf0ilOQfLLL2vxvYGs8g7\n",
       "AHETeQcgriLvAPLQzpmR6cAN2MluJvBXrNpmIFsAfKkDOhp5ALdmrH91L9J7EStpSLfLmAy8EF6v\n",
       "kZo+CliF5O6ldJpvA1OwNhtjseqalcL8+cA6VdKvl6Oeg2WO9gQOpbyk5jlgj1SaY7FMUWVJj4iI\n",
       "SEuNwxqtfpzkStxLX6ppZoSqlbiKpV6bh6auj7W1eArLxA3HctjpNiNvANtjJRNnUr3NyFlYA9Lx\n",
       "4f0k4CPh9VZYycUuWOZ2Ekmbkcuxhqxp6e2CtRHpAt7CMkOxr4XpcaPa8cDedT5vJ6qmERFppsIe\n",
       "KzcMz1sAm4fn+PVm2JW9hz7d2luCI0twUy/bejRtfaxEoxtrZPoIducLWJuR87C7aRaHZdLfbeXd\n",
       "NKdgGZs3sBKNo1LL7ou151kEPAnsHqZvCzyBVf+clbFdsNKZpcB1FXF3AF8HHg/bnQucXOezdoZt\n",
       "KTMiItIchT1WXhyeu7Er48rHQ8CvHeIabP2M1DIEyzSsnmOaeRtof7DIOwBxE3kHIK4i5/QL2wPr\n",
       "5zbuk4sAAAoDSURBVMNzVGOZG3OIo8g2At7B+hQREREprBWAY7A7Kn6PFdkvX3ON1vIuGcnLAVij\n",
       "1aPqLejkMKxaqfLxcC+3M9j2m4hIK+RyrGxkQDEvV2FtBX6NxXkosDJwkFM8JbK/r2rTpb1pv4mI\n",
       "1Ff4Y+WcBqflxbtkJMopnaIYaCUjkXcA4ibyDkBcRc7pF77Tswewnj5j25L0yioiIiKDRDsWvcR1\n",
       "/8Ow/irmYzmzNbHbRDessl6rqZpmcNF+ExGpL5djZTsejDsr3sdFRHGs83KLpGccyowMHtpvIiL1\n",
       "5XKsbMdqmnmpxxis1829sMar85xiageRdwDiKvIOQNxE3gGIq8g7gDy0Y2YkdjR2J814bHC0XwNf\n",
       "dY1ocJmBjZpbzWJ6llI1Q6u2C1aVtxiVeIiISJM8jA1rHxtJ7/uSaCbvu2ma7TLgf1qcRjdwRIvT\n",
       "6KuBut9ERPJU+LtpwLokz3otzdHqEgSd8EVEpK52zoxcBtwNTAe+D9wFXOoZkLOoj+ttiJVQLMQG\n",
       "ytsrNW8c1rX+orDMmql5lQPl/QR4Fusi/nzKe8PdB5iFDaI3F/goNrDejsC5WNXJTyu2uw3wEuUZ\n",
       "ov2wAffAfpvHhe0twEYNHlvns3bS+Ki9A03kHYC4ibwDEFeRdwB5aMexaWJnALcCO2BX2NOABz0D\n",
       "6rWurouA9VJT5jF16rQ+rf/GG2NYeeVZvVofhmOj4f4c2A3LHPwR2BLLBBwGfAy4BzgN+E1YptIP\n",
       "gQ8AmwDvATOB7wHfAbYGfoF1I38LMBEYDfwF+DDwK7IzkXcDbwK7AjeHaYeGGAC+gjVe3gl4BTgH\n",
       "+FlYRkREBhE19Gtc72/t7erqBnZOTVkAnMDUqRc0lGJ/17eMxW+BCalpM7H+WjqxEo/45D4SK9mY\n",
       "DLyAlTCsAzyDlWxsDDwdlt0OyzSsBVwI/BMbR6jHJ8AaHl+SmhZv92msAe1ErF3JaKykZEOsb5k5\n",
       "2Pg4fw3rTcBKZpanepVdZ9jusBrLxHRrr4hIfbkcK9u5ZGQwGgecT1fX+f1Y/wCg0czIROzEnvYs\n",
       "MCm8fj41/U3gtbDOC6np44EVKe/9toOkKmR14M81YqjVbuRy4A7gS8D+IY043k5skMR0puI97M6q\n",
       "l2psU0REBhhlRvLVjJKRq3uR3ovAGljmIc4UTCYpGVkjtewoYJWwTmXMbwNTyM4EzMdKOrLUa8A6\n",
       "B8sc7YmV0MxMzXsOOBz4e51tFEWEteuR4onQvi+yiALs/8HY0K+dzMNO5oTnm3pRxVK+/pIlr/dh\n",
       "/buAt4BjsfYjEfBxrESiA2svsj0wAqsy+TvlpSJgJRMXA2dhpSRgJSsfCa8vwTINu2C/p0lYN/4A\n",
       "/wesXSfGmcDXsCqlq1LTLwBOJWlUOx5rQyIiIlJYfetnpKvrSLq6bqKr68g+pdrf9a1Eoxt4Hbub\n",
       "Zp8w/TLgPOxumsVhmcmp9SrvpjkFeAprVxK354jti90Fswh4Etg9TN8WK4V5DcvMVG4XrHRmKdbQ\n",
       "Nq0D+DrweNjuXODkOp+1k8bvptFtxyIi9elY2WYGW6dntQzBTuqrewfSS2sBSxpcdjDuNxGRZlOn\n",
       "Z1ImyjGtjYB3sD5FBpIPMXjHL4q8AxA3kXcA4iryDiAPasAqlQ7Abtc9Frt7pd0cRvbdREOxqqiv\n",
       "5BuOiIhIfopUTVME2m8iIvWpmkZEREQGP2VGBo7IOwBxFXkHIG4i7wDEVeQdQB6UGREREREZINRm\n",
       "ZHDRfhMRqS+XY6XupjEbAEcDq2KjzV5Se/EyC9GJbSBa6B2AiIhIliHYKLdZvDMckXP64ivyDkDc\n",
       "RN4BiKvIOX3dTZOzvbDRZ6/wDqSKTb0DEFfa/8WlfV9shdj/gzkzcik2UNvDFdP3wMY7eRL4Vmr6\n",
       "ddjosZ/NJbreG+MdgLjS/i8u7ftiK8T+H8xtRi4DzgF+mZo2FDgX2A0bnfZe4FpgNWB/YHmgK98w\n",
       "RUREim0wZ0Zux0ZxTdsaG/11Xnh/BTaK7Q+BW/MKrI86vQMQV53eAYibTu8AxFWndwB5GMyZkSyT\n",
       "gPmp988D2zS47mz8G7G2axWS5EP7v7i074vNc//PziORomVG+pOZKEQjIhERkbwN5gasWV4A1ki9\n",
       "XwMrHRERERFpiU7K76YZBjwVpo8AZgEb5h6ViIiIFMLlwIvAv7B2IoeH6XsCT2ANWb/tExoAS4EH\n",
       "U481ayz7z1wikrytSrL/X8JK6R4EHqB4VahFov++6L8vbWNxi5aVgelE4L8rpg31CERaTv99SdN/\n",
       "n+K1GWlnI4GbgfuBh4C9M5aZANyG5aAfBnYI0z8C3BnW/W3Ylgw8HcAM4ALgLuA07EB1TGqZR0iu\n",
       "pD8F3I39Hi5A/+eBSv99Kfx/f8B/gAFsBZJiuquBd4D9gC2AXYDTM9Y5FLgB2AzYBGvzMg74LrBr\n",
       "WPd+euayZeAoAROB7Sg/EKXng7V1Ohj4MPZ7WAYclkeA0m/670uWQv/3VTfl523shxQbDvwA2BH7\n",
       "cU3Eeob9R2qZe7Bu7ocD12D3f0fAFOzqCKxh7p3IQHYVtW9D7yA5Ad0Xpq0AvNziuKQ59N+Xagr7\n",
       "31dmpH0chl3pbI41cHsG654+7XbsgPVxrEjvDGAhcBN25SSDw1up1+9RXoKZ/k38AvhOLhFJK+m/\n",
       "L7HC/vdVTdM+VsKuhJYCU4HJGcusCbwC/Dw8NsPqF7cH1g7LjATWbXWwkpt52EmK8PwB7MrpFuBA\n",
       "YHyYtwq178qQ9qX/vmSZR4H++yoZ8VNZFPcbbOTgh7Dit8cylp0KfANYgrWy/wywAJiG3cq8XFju\n",
       "u9ioxDIwpX8bV2P7+RGswdoTYfpjwPHAjdhFxRLgy8Bz+YUpfaT/vlSj/76IiIiIiIiIiIiIiIiI\n",
       "iIiIiIiIiIiIiIiIiIiIiLRSh3cAIiLBdKwPjZWwQeFucY1GRHKjTs9EpF3EHT6d6BqFiORO3cGL\n",
       "iKfvYj1L3g6sH6ZdBhwQXn8PGyTuYeDC1HpbYT2WPgj8OMwXkQFKmRER8bIFcAiwCfAxLINR6Rxg\n",
       "a2AjbHTSj4fplwGfx8ZoeY/aI52KSJtTZkREvOwI/B54B2srcm3GMrtgA8I9FF5PAcYAo7DxOgBm\n",
       "ovZvIgOa2oyIiJcS1TMRJWzI9J9hJSgvYG1JlqdnKYgyIiIDnEpGRMTLbcC+WAZjNLBXal5HmA7w\n",
       "KlYSclB4/wZWkrJ1eP+JlkcqIi2lkhER8fIgcCUwG/gH1lA1VgJeBy7GhlB/maRaBuCIMG8ZcCuW\n",
       "QRERERHJzcjU6+OAM70CERERkWI6GCtZeRi4DljVNxwRERERERERERERERERERERERERERERERER\n",
       "ERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERER\n",
       "ERERkWL5/yaBa9tEVnC/AAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa7405ee4d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "g(Z) = ||X-DZ||_2^2, h(Z) = ||Z-EX||_2^2, i(Z) = ||Z||_1, j(Z) = tr(Z^TLZ)\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAiIAAAFeCAYAAAC4vHQNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXe8HUX5/983BQgBpEWBEHKxUEWKVAGZgCBRESmKFCWi\n",
       "fsGfWPkqYOOColgQrKACCSAEQQSF7xc08L0XkSolAaQIQqgBEykJRUpyfn88s549e/eUW8559t79\n",
       "vF+vfZ3d2d2Z5+zszjzzzDMzIIQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBCj\n",
       "hlnANxucXwJ0tyHddsU7EpkBXNvg/P8CH2lDuu2KN2E+sFsb4x9OuoFlwJg6548FftWGdNsVb8Jp\n",
       "wNfaGP9Q6EbPvMj0AOfG/fWwMrvLTZoSsyNwMHBo3D7qK05bmAmc0OY0+oCPtzmNkcwMGisiw0EP\n",
       "1UKlUzwE7NrhNAdLN40rxeEgAI+2Mf6RRjd65kXmODpfZrgwzluABvwaeCMwF1iaCj/HR5y20m4t\n",
       "t9Lm+IUQQohRxz2MHjPUxphV4hngLmCv1LmZmCnxT8DieN16qfPLMIUMYHngB8DDwJPxvhVS1+6N\n",
       "KW7PAQ8A7wZOBF4DXsJMez/OxLsdsIDaZ70PMC/ujwGOifEtAn4DrNbCf/5olHMRZiadT/NuglnU\n",
       "dlMFaltT84GjomzPAhdgz6QVXocpsf+M8XyV6n+eAfwF+EmM9x5qLQl91FqUDgPuBp4GrqQ2vzYF\n",
       "5gD/wvLoWCwfXgZewfLg9ky8y8d0N03FMwl4EVgzHr8Py9tngOuAzVr4zw8x8Oc1g/7WofQ7OAv4\n",
       "GXA59r7emDrXjC6q78JTwNnAKvFcd0znk8DjwBNR9oQealuH2wPXY89jLrBL6tzq2Hf1OJZHvwNW\n",
       "xL6BpVgeLAbWzsR7BfDpjMzzgA/E/Y2o5u29wAdb+M+zaNz1CnrmI/2ZN/sPp2DP/jngDmq/8zTr\n",
       "A9fE9P6ElUfJc+qm1nr1MawMWgz8A/ivTFxfxvLzMeATmf8mBsBFwDreQgwD47FK/BjMAjUNe3k2\n",
       "iOdnxeOdgOWAU6n9QNIv0CnApcCqwErAH4Bvx3PbYpVNUtmvA2wY93uxyjNNOt4HgHelzl2EvcgA\n",
       "n8MKn3XifzkdOL/Jf94EK3jeEe/5PlYJN+smyHZTBWoVkYewAmEtTBm6Gzi8SZwJ5wCXABOBqcB9\n",
       "VJ/JDOBV7L+OBT6EPctV4/n089sbuB97tmMwhea6eG5lTKn7ApaXK2H5AmZmzVrz0vGeCXwrde7T\n",
       "mA8JwJZYQbYNVrF8FHsWyzX5z/MZ+POaQfMCehGwNfasfg3MbhJnwmHYs+vG8uFiqs+kO6ZzHjAB\n",
       "eCumNCbvc9pMPTnKsGc8flc8XiMe/0+U6XXYN7dzDN+F/t0E6Xz5CKaQJmyCVbrjo7yPYl3EY4At\n",
       "gIVYI6MRrXS9zkDPPGEkPvNG/+HdwC1Ulb8Nse8xjxuwhuZ47Pktpn9eJYrIezDFBeCdwAtYOQGW\n",
       "Rwuw5zQhyr4UKSKDog+rDP4EXBa3P3gKNEh2xl6KNOdjHyPYC5+u2CdiFozJ8Tj5OLqA56l9mXYA\n",
       "Hoz7vwBOriNDL/19RNIf3TexihCsMn0emBKP76ZWgVgbUyoa9St/AyvcEiZgFoFWFJFGFpGHgINS\n",
       "x9/FrELNGBvT3ygV9l/YcwErlB7P3HMTcEjcTysMV1Cr1I3BCoH1gAOBW+vI0EP//t50vLthCmHC\n",
       "dan0T6N/wXovVgA1YjDPawaNC+iZwC9T56ZjFqRWuBo4InW8AdV3qTums0Hq/HeBM+J+D9XndzT9\n",
       "lborMQVtbazQfV1O+oH+lWI63uy7f2Iq/QOAP2fu/QX2rjci+07nMQM985H8zBv9h12xRs92NC4z\n",
       "18MaQxNSYedR3yKS5RLgs3H/rChDwpsouEWknU5KQ6UHM219G6tgTwZ+6CnQIFmH/h/iw1StPRXM\n",
       "fJbwAmbazFqDJmGmzlsxbfsZrFJMTPfrYia6ejTyE5kN7Iu1sPeNaSQyd2MveZLm3Zii9IYG8a1N\n",
       "7X96CTOtDgdPZuJdqYV71sRaGQ+nwh6hquxBf0XkYex/ZJkK/Ijq80j+12QsDx7MuacV+rD83RZ7\n",
       "5ptjzz1J86hUms/EtPLkyzKY59WMpwYZ59r0z4Nx1L5Lj2bO51lFp2Im+vTz2BFraU7Bvp/nWpQp\n",
       "zRKsZX9gPP4wVYV6KlaZpNM8iMbfwXCiZ17cZ97oP/wf8FOsm+cpTJFaOSeOdbD/91Iq7OGc6xKm\n",
       "Y9bOf8X73kPVOrU2tXn6GAWnyM6qfd4CDBNPYB9qF1VlYCrWoiWGT0ldvxLW3/pEJp5F2Eu6Cf0t\n",
       "LGAv3pvryNDMWfVu7KWfjn3oaQvNI1h/5A1N4kizgGq3EJiWv0ada9O8gFXGCfVMmAmtOuEuwlob\n",
       "3VRbNetR+4FOztwzFfh9TlyPYK2tPDPtVKwQymNZExmXAhdihdk/MQvgC6k0T6TaDTdYWnleA82D\n",
       "gfAEtUPG18OU2qeo+tmsh7Ugk/2sggj2PM6lf784WCG8OtY6z1aMef8/GzYbs1Zei/lfJVazR7D+\n",
       "+z1y4hgqeuYj/5nX+w9gvh4/wRqTFwJfor9VZwHWfboi5hsGVp4spT/LY11sh2Bl1FKs0ZL4vC2g\n",
       "tk6ZQsEpskXkeUzTXIKZ1ZdhfWYjjRuxF+vLWKs8YI6HF6SueQ/WulgOq+RuoH9hsAwbe38q9kKD\n",
       "VZ7JR3ompjDsiuXrZKrKwFOYea4R5wOfx7qSLkqFn45VgEmhNQl4f5O4fos55O4Q/1MPrTkez8We\n",
       "xWpYwfD5Jtdn41xGfndFUsmfiCl6UzE/jl+nrnk9Ztocj7X8NqLqo5HmdOArmEIIVvgmDnSXY4Xy\n",
       "57DCYmWqPiJPYRVCVub08fmYIpNVBn+Fmde3jddPBN7LwK0breTBPMyZbnOsQO0ZYBx9VLsds8zG\n",
       "nns3Jvu3se8graR9DVNcN8XM57/JiefX2Pu1B9bttgL2XU3GCuErgJ9jPj7jqb4TT2EK8SqpuLL/\n",
       "53+x9+N4ar/Ry7EujENinOMxn52NaIyeeeefeSsM9ZlnqfcftsasOuOxeuDf5CsXD2O+JMfHa3fC\n",
       "6ok8lovbIiwfp1OrrF2I1QUbYYrN1wf4XzpOkRWRlbCCfGXsI9kXe9HbQcA02dOo9QQfDl7FPuDp\n",
       "mKPVTzHnpr/H8xXMjHccZmbbkqpvQJajMT+CG7GWxxyq/bt/xV6+UzDfmj6qysOPgP0x8+mpdeKe\n",
       "jRUeV8frEn6E+eYko3puoFq51uNu4DPYB/kEpkz+E1MoG3EuVkDMx/qfL6BxK76SOj8lpnNnnWs/\n",
       "g7WCHsTy+jysHziJ50bgLVgefRPYDzN5ZrkU60e/AMuDOzGHNDDleXcsvxdgeRziuUS5+xdW4KT/\n",
       "Q8LNMY61sYI94VZsZMNPsby5n8HNqZN+XvX4O+aPchXWSr42c09eHOnjdal13EtzFpbHf8by4UUs\n",
       "X9LxXIO941dhTs5X5aTxGOY0/BXsvXoE67pKyrOPYN/dvVhFmPSd34u95w9iz3HtnP/zCjbiYzdq\n",
       "lcHnscL+w1gjYQHwHZo7DOuZd/6Zt8JQn3mWev9hFczX5GmsXFuEPeM8DsKUlqcxi8nZddJfgj3f\n",
       "C+O1B1Jrvb0SGx3Zi/3PxJrdrPwVLTK3TfG+E9Noz6K55aCTjME03nW9BRkiK2GF1NQ2pnEwtQ5a\n",
       "w8k11FcORZVGFeJQOYGqQ7Woomfen7MZHTOrDhcbY91xRTY8FJb9UtsHgZMYmJ/CQEjMcK+n1lzv\n",
       "zeZYC6bIvjz12AszC07EujPqjSYpOiti/jc7egtSYrqw7r6vegtSIkbqMx+HWTcP9hbEmX2w7uHV\n",
       "MIv273zFGbnMwkznM7E+8q9iikKrnIWZCLOm+j0xc+H9WFdHmuWo9Y/wZD/MjHektyB1OJiqD096\n",
       "S573r7CujWexLqS3xPAr6tx3TKcEHwCvx7pfijrNcrL+RHZbTGMr2lfq3Pc/7RR2CNyOzWUzkO+/\n",
       "k/yN/Od5YOoaPfPhpd4zX4aVMRMYec98OLkCK3v/hTm2dmqkUek4tsn5nTF/i7QiMhbrC+3GHILm\n",
       "YmarfbBW+wU0n5tBCCGEEOI/02Q3optaRWQHzJEn4RiK2RIXQgghSsFI9D0YCpPpP9HLdi3e+wDF\n",
       "cmQVQggh2s08bHp9kcNgLCL7Yb4LCYdgE820gvcKtj3O6QtferwFEG70eAsgXOlxTr/tdV/ZhvM8\n",
       "Tv8Z5wo//W2k21sA4Uq3twDCjW5vAYQr3d4CtJuRrIgMZnTLLdjojW5shMwBDGwhvR6qE1QJIYQQ\n",
       "o5WAvzXGjWRI7U9yth9jM5C24qsxG5vV82XML+RjMXw6NpPeAzQfeZPGu2smOKcvfAl1wucDd2Bd\n",
       "lTenwj+DratzFzYTLJjyPTNeP5fqLMITsCGNyfXfyaTxIWy45F3UrqqcZjlsBsn7Yjz7xvA3Y7NW\n",
       "3o71NU+v9wdFXYK3AMKVUCd8Pv2//W3j/u3YbNvbxPDVsZlWl1DrjtDo238ncBtW9+3XQL63Yy4Q\n",
       "92MzcSd8ESs35mEz2K7X/9bislf8nQEcmrMdhf2xTuOtiNRjPq1XRLtjVqE74u+01PUfw16medgY\n",
       "9GSRulYrknov4w/jvbdjlVTetOli8DyEFTJppmFzt4yPx8naRJ+mOlPmJOwd6MIKo0QpGY9NB75n\n",
       "PH4LVhglS7wnqz1nOR6biTMheX9mAYfH/Y2jvGJ4mE/zb/+kGHYw1e/wdmy9k7fFcydiU7YvqZPO\n",
       "ftj8HFvlnFs5E+9CbJkJsJmUr8bKjV76Lywphkbet99HdcmJ6VQX31sRm5TxcPorIvW+/anAZjRX\n",
       "RG6muuzH/6buD9g6PmBrZV3AKOMIWncyHS68FZFQJ3wgFdEWVFeZ3JSqf8xy2MQ3STzfpbqI1ixa\n",
       "q0jqvYxpjgTOqHO/aEyoE/4Q/Vc2vhBb/DDLT6mdqv4qqi2mNKcCH4/73wMOa0G+R7BCLct3sAUf\n",
       "wYbPt2s68tFMqBM+kG8/zVuxBkPCtli5kKeIrIxVTteTr4hkuQVbsA2s+/wjKbnOaeF+0Z9QJzzv\n",
       "25+NWTDBJtTLzhQ+g8Z1Z/rbT2ikiKxNdUVzsHWBTs+5bksafPsj1UfkdKoveyfpoZhm0uxKkZ/C\n",
       "KoBX4/HC+DsXeDLu341VHOOxdQiewdaE6cJav8nqvwuotoZXJX+J8LWxAitplZ0DfCDnuoOwD0UM\n",
       "HxVMobgFWxgPzIrxTmyq6z5sBVCwlun7sYn91sesWNkZWFfFrJJXp+LaECtEbqDa2sreA/AtbCr/\n",
       "C6nOyPkdzJL5KGYC/ky/u8VQaPXbT3MQta3Tm6mWC1m+iVlVXs5JK8sGWL4nFc7GwP/F/T5s0Twx\n",
       "fOR9+8cAJ2MNg+/T3/2gUYM6++0HmvuITKZ2wMfj5Fu+Pk7+auYjnlaG7w4n3haRejyIPYv0y3g7\n",
       "9gJlK6I0+2Mr6ia8F5sa/Il4T6KkroL18z2KrfS4ZU5cW2OtsISdgcsy10yNcQ90eW3RmLXj7yRM\n",
       "0dwZ6yJLuse2wd4RMAUk6Sq7FFMM3p+KaxzWLffZVNhl2BTRYzEn70eoKqYJa2Km+8Qv5AtUW79n\n",
       "xGOA7bF3SQwPg/32HwA2yQnPWkS2ojoooJfmFpFvYBa0hPOovkv7Yu/Iak3iEK2T9+1fhc0UDrZG\n",
       "25zMPYeSbxHJ+/YTGllEWin7D8EsauMZhUgRMQZSESVsihVG68fjVYB/pI5/QnWxq1YqklZexqOp\n",
       "9R0Rw89xmA/VFVT7fcHyOmvCBbgO2Ch1fBZmmk1zGmbOTbgKs6Sk6cKWbE+YgvkngFne0i2kf1Df\n",
       "z0QMjMF8+9thfiV5pBWRMZgik6yY3Uv/fM/yN2obKmtjSuxt2Hv1KFbWiOEn+fYXp8K6sLWy0tRT\n",
       "RPK+/YQK1UZGlmzXzIHUds28CysDGn7zI7VrpoyEOuEL4u9C4BKsv/cxqqst/hVriSQV0brx3Eeo\n",
       "+nskvh/J8UXAO+L+OzBTO1grawX6v1SPU2viX5f+XTgHoG6ZoRBywlbEusTAVjneA6uILqXqI7IB\n",
       "VR+gCfE6MMflV7EFIMG6VVahqnQmXJpKe80YX7Zyq2CKZ+L8vBtVhfVerDACe89WwBZzFK0T6oQP\n",
       "9NsH68M/v4U0V8YaLH1YubA9NtVBPavI5lirOt1AXIC1pLcCvhbDFiMGSsgJy/v278IaHUkjZFfg\n",
       "75n78izS9b79ZveB5fFiTMHtwuqVS+O5LTGlZC9GwTe/Yp3wGZ0UAitse/DzEclLN/syXoe9kIdj\n",
       "oxjAKo5H4v6qmJ9A1n9jElaAJQrGN7H+RbBC7dC4vzH5PiIAN1F9GbPOqhuh0RJDJeSErY+1hOdi\n",
       "hVDSHzweWzH4TsxnI7m3G1MM7sa65ZLJ/dbFKqy/UR39kHZQPTmeu4OqIxzUVjrrAddg79ccqorp\n",
       "m7DKbG68/l2IgRJywgb67YM1PB+j/gRZ9UbNQPOumZOoOrgnrEG1sXsiJZ6TYoiEnLB63/7WWFk8\n",
       "F/PpSluo5mMNkiWYdWojGn/7h2MWlQqmSKRnKU9/+8mIyQewKTYS5mCKShLvpYxA3oEVmMnaMFsA\n",
       "P/cTp5BdMwOtiL6GmdDTw+0S5eOjVIfv/p5qX26jiqSVlxGsgPr2YP6gECKXgX77xP3rc+L6HlbO\n",
       "vhZ/v5FzTVYRyXaN/wNTfNLsh7XI78PmmBmVPgIloIh1X8e4GWtlpV94T0e3UmeGEEKIUlL6tWYe\n",
       "yRy/5iJFMQjeAghXgrcAwo3gLYDoPBX4ZQX6LoW5Feir2JxOo5Jx3gI04BFsJjgwZ7vPUuud60EP\n",
       "1k3R16kEK2bS3OD3sOre8Cwwv6vz/jHCCeV/eVHeDy8V81/rwhrgjX5buaYTv9sCm6fGym9agSO6\n",
       "8icMaweBDinBRZ7TYRI2DO1dmJx/wpSRfznJU8HheVVM6UkPxVyMzZb3R6ofDQPcH8w9ut/n/ncD\n",
       "b6DKvzE/nr/T32Ta7Hi4rilSvEWSZbjjPZja9TlexJxS76BzFaJ3ZTycv8mzrWAOmunfvDDv382p\n",
       "ThaYcFWXjXjrJG2v+4psEQGbAVDUsgo2ciEZ8ZB8RAPdH8w9I/H+9Ic9EuXfllpFZAVsBtyrqSVb\n",
       "UOQVHMNxTZHiLZIs7Yh3aebcikA31ijrREVYhMp42H67qt/WiKDSvxG6CJuXRXSQ+7EP7uMUYzY+\n",
       "l5e4Yn2DlV6oVGxbWLG1dkQJUP6XF+V9uanArAos7K3mfSvzv7RJlHKzHbaS44PA5VQXUPLASxEp\n",
       "yssoHFD+lxflvajAEZfALc4KaOkVkYQ1sbHxyxxlcMuMChxRgTlqDZUT5X95Ud6LAlBqReR1mIf4\n",
       "FVg3zfdovtZBO6lQ3NV3hRBCiOEkYHVeqRWRh7BFeHagzR67LeKdGcE5feFL8BZAuBG8BRCuBOf0\n",
       "2173FXnUzBvxr/yFEEII0UaKYGnI8iPgc/RfRh5MMXl/Z8WpSbuIz0sIIYRoF22v+4poETkn/p6c\n",
       "c04WEiGEEEJ0hM+3GNYpvJWg4Jy+8CV4CyDcCN4CCFeCc/ptr/uKvOjdoTlhMzothBBCCCHaRxF9\n",
       "Hg7EpnbfGbg2Fb4yNuXxbh5CYVrh8XR40TshhBDCgRC342izrlBERWQqsD5wEnA0VRkXY4s9veYk\n",
       "l5xVhRBClI1S131vBCakjidgCz55IR8R4UnwFkC4EbwFEK4E5/RL7SNyIbWrTy4DfuskixBCCCFK\n",
       "xtycsHkdl6KKt0VECCGE6DSltogsAvZOHe8dw4QQQggh2s6bgZuAR+N2QwzzwtsiEpzTF74EbwGE\n",
       "G8FbAOFKcE6/1GvNPABsB6yEeewu8RVHCCGEEGViLeBM4Mp4vAnwcT9xqGBLIgdHGYQQQohOELA6\n",
       "z7s3wJUrgQOwuUMAxgN3+YlT7swQQghRSkrtrLom8BuqQ3hfxW8ysyIQvAUQrgRvAYQbwVsA4Urw\n",
       "FqDdFFkReR5YI3W8PfCckyxCCCGEKBlvB67HlI/rgfuBzR3lUdeMEEKIstH2uq/o88ePBzaM+/dh\n",
       "3TNelHq+fSGEEKWk7XVfEbtmktV19wP2whSRDeP+vsAuwFgf0VwJ3gIIV4K3AMKN4C2AcCV4C9Bu\n",
       "ijiPyDuBqzHFI88ktAbwNWD3TgolhBBCCJFwlkOa8hERQghRNkpd960J/AS4HbgN+BG1o2g6Takz\n",
       "QwghRCkp9TwiFwD/xPxC9gcWYvOKlJXgLYBwJXgLINwI3gIIV4K3AGUmbxbVOzsuRRVvi0hwTl/4\n",
       "ErwFEG4EbwGEK8E5fe+6z5UfAgdiVpsx2HTvJzvKU+rMEEIIUUpKWfc9j620uwRYhk3r/lrc91yB\n",
       "V4veCSGEKAsBLXpXOLwzIzinL3wJ3gIIN4K3AMKV4Jx+2+u+Is4jkmZvbF6RCnANcJmvOEIIIYQY\n",
       "Too8ZflJwDbAeZicHwZuAY51kkdTvAshhCgbpa777qR2KvexlHvUjBBCCNFpSj2PSAVYNXW8KuVW\n",
       "BoK3AMKV4C2AcCN4CyBcCd4CtJsi+4h8B5tRtRczC+0CHOMqkRBCCCGGlaL3+6yD+YlUgL8CCxxl\n",
       "KXU/mRBCiFKiui/F2sDyjumXuVtICCFEOVHdl+JqYD7wA6f0vTMjOKcvfAneAgg3grcAwpXgnH7p\n",
       "5xFJsxvmXLuxtyBCCCGEEJ3G2yIihBBCdJpSD98VQgghxChHisjIIXgLIFwJ3gIIN4K3AMKV4C1A\n",
       "u5EiIoQQQgiRw37A/cBiYEncFrcprYnYPCXvbXCNfESEEEKUjVLXff+gcyNkjgf+GykiQgghRJpS\n",
       "O6s+CdzTgXR2B+4GFnYgraEQcsI2BG5Pbc8BnwNOAOYBc7H5V6bE61cAZgN3YP85PWV+H3BvKq41\n",
       "68jxNuAG4K4Yz3Ix/MqY3t+AM4HxA/p3ohnBWwDhRvAWQLgSvAUoMz8CfgMciHXT7Afs2+K9ZwFP\n",
       "0X+13j2xyvZ+4OgY9i3gFOCPwKXUn8rW2yISmpwfg02BPwVYORX+GeCMuD8DU0QAJgAPAevF415g\n",
       "qyZpjMMUnM3i8WpUldmVUtf9FjikSVxiYIScsHqK6P6YQriU2jxdHcvnJcBPMnF9DPte5gFXAGvU\n",
       "kSOriGZnO/4Dvqtkj0ZCTthAGyGN8v6AeM9dwEkN5MhrhKyckWMhVp6K4SM4p+9d97kyK24zM1sr\n",
       "7AxsSW2BOBZ4AOjGWutzqe36ORR4T4M4i54ZewB/yQk/lmrh8m6sohiLWTzuo7rCcS/w9iZpvAc4\n",
       "t8k142MaezYXWQwjaUV0I2AD+iuXKwI7AodTWxktB/wLq6wAvgscl5NGI0UUrKFwHlZJic7RSiOk\n",
       "Xt6vATxMVfGcBeyak0azvE+4BdhpoH9ADIpVsUbfPZiFe3tgW8zf8fb4u0289mBqFcalmGIJza3Z\n",
       "FRorsrKGN6CbWkVkB+yBJRzDwFbzLboichbw/1LHJwKPYBagVVPhvwb+CTwPfCIV3ou1dG4HvlYn\n",
       "jc8B52DP8VbgS5nzfwSexixZorPkKaL1rFwzqC1MxmBK+nqYRfA0at+NhEaK6ErAtZhyL4tIZ2ml\n",
       "EZIwg9q83wa4KnX8EeBnOXG10gjZACtzRGc4Gzgs7o8DXod1sb87hk3HyoAsb8V6BRKaWbMr1Fdk\n",
       "W7m/KUWe4j1r/UgUgcOyF7bIZODR1PFjwHYDjGMWtt4NwLOYFtgXj0P8bdfx5xuktxzWGv19StY5\n",
       "cdseM5WejfnDTMAWEHwf9kJdjXXR/BRrFd8CXIwpMnMy6W2EtXa2jtsPMYXk/+L572Cm29/E/T8O\n",
       "4/8v+3Gj/E/O/5UqgVoFNH19BfseQjxehrWc78FM/H8HLkydT+6fHu+9Elgfy/dPxfMzY/iLg/x/\n",
       "Oq5/nOzXO/9hLO9DPD4RUyRfptrqTa6vZI7nYd08BwCLgA9gLdqsPNOB12N5PAm4GfvO0/J8FLhg\n",
       "EP9PxwPP//di5fmh8TixQi3AFJKANb4fz4nvIKycDvH4+bg/FqtL1sHqOqjWdy8C1wFvoT/Px9/x\n",
       "8f5FOdeMWPan6htyCFY5ZjWxRnRT2zLbD/hV6viQAcbnbREJDc7tTa21J816mKUD4OfUaqtnAh/M\n",
       "uedQ8p/NAVRfUDDLyX/nXPcRTLERw0docG45rG9+Uia8nkUkm7+rYKPU1o/HPwG+mnPffwMPYmba\n",
       "CcD1mBl/C6pKcDeyiAw3ocG5enkPZvHNNujyvu33ATdi+fkD4JKcuOrlfZq/YV3iYngJOWFbADdh\n",
       "+XsbVretCEzFGtyPYI3tKTn3PgBskglrZM1O13316oYhWcOLPGrmt5jycTHWnfBBrBU+WB6nNlOm\n",
       "YBk1UuhrcO5Aqk6oUKu17o11t4B10ySFx0TMWnIPVZ8RMK12L/Irkz9ifcQTMGvaLljhMxGzshDD\n",
       "35dKUwwPfQ3OTccsU4Md+bUxZhV7KB5fBLwj57pHgT9jBc5LwP9iis722Lf5ENY9swFmLRHDQ1+D\n",
       "c43y/nyqPgKNuBzLw3dg1rD7cq6pl/cJm2Pfvr774acvJ2wc9vx/Hn9fwLrizgQ+izVAv4B12afZ\n",
       "DrNu3J0JfzdWhi9P1coyEIZ0f5EVkSwbkK/1t8otWAXdjbUiDsCcKgdCD/4ezFkmAu8CfpcK+w6m\n",
       "SMzF5D0qhv8C++93YqbVszBryQqYRWUeVpA8StV6tBc2zwpYd9QPqTpD3YqNsFgJaxHPw7TzR+j/\n",
       "AYj2kVVE0+SNAsuGPYh1uyXKaDKkPUs9RfR0rKtnfcxE/HfyHR7F8NNqIyQh7314ffxdDetqOyPn\n",
       "mnp5n5bj/JalFkPlsbgl3bG/xRSSbalatH4bj9N8mPr59DLW8E+U14DVea2SvX9U8Dy1M6rej3Wv\n",
       "tMJs4AnswTyKDU0Eaz3ch5mmjh2gPEXumhGjn1AnfCLWJ5seLbEP9t6/hM3Hc0Xq3HzMF2hJvGaj\n",
       "GP5RqsN3f49VSlCriIJ5398Vr80b6tmNRs0MN6FOeF7e/5ZqI+RiqkoG1M/78zGl4m/Ah1LXDyTv\n",
       "/4E1FsUFi8h5AAAgAElEQVTwE+qE/5nqM+8Bvoc1DneJYbtR6zc2BlNeulNhWWv2b4CPZ9JJ130z\n",
       "qO2aaeX+Uc2mHU5PiojwJHgLINwI3gIIV0Kd8M0xRWMeZhF/HdZFehOmiN5Arc9OwHx70rwes47P\n",
       "wxoQ36dqNUsU0aTum09/RbbR/aWg032RFYrZNSOEEEIMNwGr89reCB/JmsvtdNZDu4LL86r8klqT\n",
       "53zomtF5OYQQnUXfvigEba/7ijyPiDA2AHZJDSd/B1S2x/r6lmJzQCRb9jgvrB33FCWOoaRbgS7v\n",
       "7rccksro96vC3s8yKiqjShdWsI2JWyv7rV43mu7ZHehOfftbQ2UlbPKy1+K2NLX/2jCHZ8KK+H2U\n",
       "gkDjkVMjHikiI4/xmCPvd6kt1MZmjvPCBnqcDhs3iHuGI9123pM+7oJKheIpXjsDk6z7F4AdoLI5\n",
       "NjLJu6Ic7D1graxlqd9G+61eV+R7BhN3thU6EfMBeAz7HpNtbOZ4OMNTYZVltE3JaacC1Y7wTihl\n",
       "o7ERks9IVkRedkizB9NM+zqfdEh2FgFnQNeczsswmvlPK73TClCzazYCJqXyf7ko51n4V66DrJDV\n",
       "sm6Nyk7A1My3fxJ0ne4gS6JIdlj5yQ1fsY1xtxjHf5Sydio/ewBr2ShsADaFyhEdzP9A6uVrJ0X0\n",
       "EdkYm2Tr7eQ7ydzWWXH+g5ePyCxsOt81sYJoDnQd1Hk5hA+VPqrD8cDega/7VEais+jbLyb9lLJ2\n",
       "KT/HYtPvp7kKunZv33/Lxanu8yWZSKsPm6I6u3nh2IqrHAGX3GK/olxUZkFlIfRW7LeiSaNKhb79\n",
       "8lLps+7i3or9VhY6vQeyYDZgjw6n550ZwTl94YYqo5ITvAUQHhSmEeJd9xUaj3lEhBBCiA5ROQIq\n",
       "c5wbIar7GqAJzYQQQoj2EOjQhGYjmbJZRIJz+sKX4C2AcCN4CyBcCc7pt73uG9P8EiGEEEIIkeV3\n",
       "zS8ZVrwtIkIIIUSnKXXdNxH4OtXhvG8B3ucnTrkzQwghRCkpdd13IXA08Ld4PBFbatgL78wIzukL\n",
       "X4K3AMKN4C2AcCU4p19qH5E3YeupvBKPX3CUJaEH/5dCCCGEaDcBq/NKzfXABKqjY94E3OwnjrtF\n",
       "RAghhOg0pa779gCuARYC5wMPA9Mc5Sl1ZgghhCglpa/71sQcVN8HTHKWxTszgnP6wpfgLYBwI3gL\n",
       "IFwJzum3ve4b1+4EhsBlwGzg9xTDP0QIIYQQJSIAp2FdMr8F9gdWcJTH2yIihBBCdBrVfZjVZnds\n",
       "OO9iRzm01owQQoiyENBaM4CNmjkAuBh4CPiJoyzemRGc0xe+BG8BhBvBWwDhSnBOv9Q+IhcC2wFX\n",
       "Aj8F/gwsdZVICCGEEMNKl7cADXg3cBXFUT4qFPt5CSHEQHgaWM1bCFEYngFWzwlve91XxIp1N+Bq\n",
       "YD9qTUJd8bjTi90lSBERQowmVKaJNPXeh7a/J0Wc4v2d8XevzPa++FtWgrcAwpXgLYBwI3gLIFwJ\n",
       "3gK0myL6iBwXf08AHsyce2OHZRFCCCFESbktJ+zWjktRxXvUjBBCDCcq00Saeu9DKUfNbAxsAqwK\n",
       "7EvVN2QVfCc0E0II4c8s4FHg63XOLwE2A+YPc7rtirf0FNFHZAPMF+R11PqGbAV80lEu8J3QzCtd\n",
       "UQyCtwDCjeAtQMGo0LiVvjJDVxb6gI+3Id7BEBzSTNLt6URCRbSI/D5uOwA3OMuSpcdbACGEEG0f\n",
       "7aNuK1PG+qj6bZaSc7DumYTVgLOcZAG9mEKI0UWDMq3yS6j0pbZZg4h+qHFsjFWEzwB3UR01ORNb\n",
       "h+xP2LIffcB6qfuWUR3YsDzwA2zNsifjfeku/r2BucBzwAPY/FUnAq8BL2HdMT/OxLsdsIBaZWgf\n",
       "YF7cHwMcE+NbBPyG1uZr+WiUcxHwNcz6sluTe2YB30wdB6zbKmE+cFSU7VngAuyZ5OHmI1Jk5rYY\n",
       "1ilKnRlCiFFHI0WkDyqV1LYQKkcMMPqhxDEeq8iPwSz30zClYwOs8l0M7AQsB5wKXJu6N62InAJc\n",
       "ijVqVwL+AHw7ntsWq5yTyn4dYMO43wsclpEpHe8DwLtS5y4Cvhz3PwdcH+MbD5wOnN/k/26CKT3v\n",
       "iPd8H3gF2LXJfTOxEaYJgVpF5CHgRmAtTBm6Gzi8TlxSRHKYR+0sb6sDdzrJAv6ZEZzTF74EbwGE\n",
       "G6FN8Q5EERmubU6Lsu2MWR3SnI91E8yktmKfiFkwJsfjRGHoAp6ndtqHHahOC/EL4OQ66ffS30ck\n",
       "rYh8Ezgz7q8c05kSj++mVoFYG1MqGvlkfgM4L3U8AXg5xhMa3DeTxhaRh4CDUsffxaxCebgpIkV0\n",
       "Vk04GfMR+Sbwrbj/fVeJhBCinCwCPgVdXa1vXJMTx8UtprcOtRUqWLdFomw8lgp/AZuufp3M9ZOA\n",
       "FbFpH56J2xXAmvH8usA/GsjQqAKejY3qXC7+3pqStxu4JJXm3Zii9IYG8a1N7X96CfhXg+sHwpOZ\n",
       "eFcapniHjSIrIudgGfwU9iD3iWFlpc9bAOFKn7cAwo0+hzTnY4oD8XcOdJ3ewTiewCwMaT+MqcDj\n",
       "cX9KKnwlzGL+RCaORVjFuwnWLbEa1kWzSjz/KPDmOuk3swLcjSlG0zGLQ9pC8wiwZyrN1TCFKGvh\n",
       "SbMAU4wSJgBrxP2+Bve9EONOWKuJ3N6W/RHJzsDH4v4kYH1HWZSBQojRRJMyrXKEdaUM1DdkWOIY\n",
       "j1krjo77gVofkeeAHTGLxCnU9xE5FXMWnRSPJwN7xP1tMIvFrlijfDJVH5HZmNNqmnS8YD4hvcCL\n",
       "1LoRfD6GJw60k4D3N/m/m8T/t0P8T9+lNR+RTwD3YMrOWpg/SLZrJh1HD3BunbjkI5JDD3AZ8Pd4\n",
       "PBm4zk0a/8wIzukLX4K3AMKN0KZ4vcu0ZmyCWQOexUbN7B3DZwI/x0bNLInXTE3dlx01cyKm1DyH\n",
       "WTKOTF37AcwfcTFwP7B7DN8euA/r8jk1J14wq8xSrJ5K0wV8Abg3xvsA5l7QjEOpHTXzGKZshQb3\n",
       "LI+NhHkOG8zxecwik5BVRI6jfs+CFJEc5mFa6u2psDucZAH/zAjO6QtfgrcAwo3Qpni9y7R2MAZT\n",
       "GNZtdmHBWQl4FVOwQofSlCKSw83xN1FEJlJuRUQIIYaT0VimbY51lRRxss5m7IX5e0zEhvx2em01\n",
       "KSI5fAkbXvUQ8F9Y39dnHeUpdWYIIUYdo61M2w/r1jiy2YVOHIx1JWW3ZFqKX2E+K88Cc4C3xPAr\n",
       "6tx3zDDLJ0WkDntgs+L9gGrfnRcVtNaM8CN4CyDcCG2Kt/QVzAghdCid7PsQsDpP70mB8M6M4Jy+\n",
       "8CV4CyDcCG2K17tME60ROpSOLCIpkpExz9PfFLUYG5v+aQe5SpkZQohRi8o0kUaKyABYAxtW1WmU\n",
       "GUKI0YTKNJFGikgdtsIWEPpM3E/ITuXbCbwzIzinL3wJ3gIIN0Kb4vUu00RrhA6lo7VmcvgGcDY2\n",
       "Y90kbBKbr8dz2al8hRBCCCGGlb8DK6SOJ1CdZdUDtR6EEKOJkVqmzaJ2xdksS7CF54abdsVLjHcZ\n",
       "vsYBWURyeBxTPhJWoHZ1QiGEEOWjQuPKcWVsUMNQ6AM+3oZ4RQ5FVER+ErfngL9h2u8sbK2B59yk\n",
       "8id4CyBcCd4CCDeCtwAFpKv5JUOiSNai4C1AuymiInIrcAtwCfAVbBXDXuCrwKWOcgkhRDno4Zf0\n",
       "0JfaZjnEsTFmmXgGa4julTq3Jrbo3eJ4zXqpc9lF736ALSb3JHAatV3+e2OLxT2HLU73bmyRvJ2B\n",
       "n2LdMT/OxLsdsIBaZWgfbH00sHr1mBjfImz139Va/M+HRFkXYvVfM2ZR200VqF19dz5wVJTtWWyB\n",
       "vOVblEVElgc2i9t4Z1mKpCELIcRQqV+mmeJQSW0L6eGIAcU+tDjGYxX5Mdi6MdMwpWMDrPJdDOwE\n",
       "LIetjntt6t60InIK1oBdFVtI7g/At+O5bbHKebd4vA6wYdzvBQ7LyJSO9wHgXalzFwFfjvufA66P\n",
       "8Y3H1o05v8n/7Y7x/wKr994G/BvYqMl9M4ETUseBWkXkIWx5lLUwZehu4PA6cbn5iBR5YaCAjZp5\n",
       "OB6vhy2TfI2XQEIIUVLWBE6jh9OGGMd+WMXcjO2xxd9Oise9wOXAgVjFeDnwl3juq5hFYzLmW5jQ\n",
       "BXwSq9SfjWHfAc7DrA0fB84Ero7nsqMxG3X/zI6yXIX5jkwHvhjPHY6td5PEdzxWjx2CKRuNOB54\n",
       "GVvgdR62iN+9Te5p1k31Y8waBHAZsEWT6ztOkRWRH2JrzSSTl22AmZW2qnvH6CZgJkhRTgLK/7IS\n",
       "8M/7RcDX6WlJiTB66AN2ycRxcYt3r0Ntyx6sMp8c99MDF14Ano73pBWRSdhqtulVbLuouiSsC/xP\n",
       "AxkaWQJmY7OAfwrYN6aRyNuNuRaklY7XgDdgXTqNeDK1/yKmjAWGlv/pOF/CZx6uhhTRRyRhHLUz\n",
       "qP6dYitOQggxWpiPKQ7E3zkDUkKGHscTwBRqW/tTqSoaU1LhK2HzTWUtGouwincTrFtiNayLZpV4\n",
       "/lHgzXXSb9YdcTemGE0HDqK26+URYM9UmqthClEzJWQwvBDjTliryfVyMRggM4EzMG1wWtw/y1Ee\n",
       "ZaAQYjTRuEzr4Qh6mDNg35DhiWM88A/g6LgfqPUReQ7YEfMROYX6PiKnYs6ik+LxZMzSDrAN5gi7\n",
       "K9Yon0zVR2Q25rSaJh0vmE9IL2a5WD0V/vkYnjjQTgLe3+T/dtN/HpFe+g8hzvIJ4B5M2VkL8wfJ\n",
       "+ojsmjruAc6tE5emeM9hBczb93dx+wK+3r6lzgwhxKij6GXaJliXxLPYqJm9Y/hM4OfYqJkl8Zqp\n",
       "qfuyo2ZOxJSa5zBLxpGpaz+A+WIsBu4Hdo/h22MW+acxZSYbL5hVZinmd5GmC6uv7o3xPgB8q8l/\n",
       "7Y5xZRWRrMNsluUxl4XnsNE/n8csMglZReQ44Jw6cUkRcWYjbFjXhdTXQL0zIzinL3wJ3gIIN0Kb\n",
       "4vUu09rBGExhWNdbkGEkdCgdzazaAmdjysJb2xD3vZjT0YexceRCCCFGHpthw16fbHahEINhW2B/\n",
       "4Httin8v4ArMAzqP0dh6EEKUl9FWpu2HOage2exCJw7GupKy251N7ruizn3HDLN86pppA2cBT9E/\n",
       "k/fELCD3Y45QWX5fJz5lhhBiNKEyTaSRItIGdga2pFYRGYs5DnVjnthzsWmEdwF+hM1q9/k68Xln\n",
       "RnBOX/gSvAUQboQ2xetdponWCB1KRzOrtoFr6b9k87aYIjI/Hl+AeWKfRGszts5K3fsspsj0xeMQ\n",
       "f9t1vEWT8zoe3cfKfx2345gm53VcruNkf0bcn48YMt3UWkT2B36VOj4EW+m3FdR6EEKMJlSmiTSy\n",
       "iOTwemydgG6qclZoPq66EfrwhBBCiAJR5OG7v8em4p2DrQeQbEPhcWqnBp5C7ZoFzejBr6/eK11R\n",
       "DIK3AMKN4C2AcCU4ptvjlHZhmDsMcXRT2zUzDpthrxubGjhxVm0Fb2tKcE5f+BK8BRBuhDbF612m\n",
       "DZZZwDcbnF9Cf//A4aBd8YJNB7+E/JV0Q5vSzKJRMzl8C3jvEO6fjS2C9DI29/7HYvh0bOreB4Bj\n",
       "BxBfqTNDCDHqGKll2kzghDan0UfzdV5GG1JEcngem6r331QncFnsKE+pM0MIMeoYqWXaTBpbRIaD\n",
       "VhacG21IERkBVJCPiPAjeAsg3AhtirduBVOBX1agL7XNGkTkQ41jY8wy8Qy26N1eMXwmttzHn7DG\n",
       "aR/VlW6h/6J3PwAexqZ9Pw1bUDVhb6yL/jnMSv5ubJG814CXsAbwjzPxbgcsoLYbZR9s8Tww38tj\n",
       "YnyLsNV/V2vyX7vpv/puQkjtzwd2Sx33UF1NN4njo9j/XQh8pUm6abLvQ4jxl1oReWedzQvvzAjO\n",
       "6QtfgrcAwo3QpngbKSJ9FaiktoUVOGKAkQ8ljvFYRX4M5ts3DVM6NsAUmsXATpiv36nYvFEJaUXk\n",
       "FOBSYFVgJeAPwLfjuW2x+aCSin0dYMO4n7fybTreB4B3pc5dBHw57n8OuD7GNx44HTi/yf/tpjVF\n",
       "JG813awi8gtMAXsb1qOwUZO0E2QRyeFybHnly7CRM88B/+coT6kzQwgx6hiIIjJc25wWZdsZszqk\n",
       "OR+reGdSW7FPxCwYk+NxojB0YV38b0xduwPwYNz/BXBynfTzumbSisg3gTPj/soxnWRE5t3UKgtr\n",
       "A6/QeJRqN/UVkTRZRaSH/orIOqnzNwEHNIkzQfOI5PC+zPEUbBp2IYQQnWUR8PUua923RMW6THbJ\n",
       "xHFxi7evgw0ySPMwVWUjPe3CC8DT8Z7HU+GTgBWBW1NhXVQr+3VpPCVEowp4NnAdtmr7vjGNRN5u\n",
       "4BJMKUh4DXgD/ZWrdpBeefhFTFErNEWeRyTLY7Q+1LZd9CAfEeFD8BZAuBEc0pyPKQ7E3zkDUUKG\n",
       "IY4nsMZn2g9jKlVFIz0f1ErA6vGeNIswP49NMB+N1bAumlXi+UeBN9dJv5kV4G5MMZoOHEStheYR\n",
       "bHHV1VLbigxeCQmp/ReoVSzWGmScrabb08b4RwQ/SW0/w7TPXzvK4901E5zTF74EbwGEG6FN8TYs\n",
       "0ypwRAXmDNQ3ZJjiGI/N+XR03A/U+og8B+yI+YicQn0fkVMxZ9FJ8XgysEfc3wZzhN0Va5RPpuoj\n",
       "MhtzWk2TjhfMJ6QXszqsngr/fAxPHGgnAe9v8n+7ac1H5NfAeVhvxtaYQ+o5DeIYyOgf+YjkMAM4\n",
       "NG4HYy+dJ6XODCHEqKPoZdomWPfOs9iomb1j+Ezg59iomSXxmqmp+7KjZk7ElJrnMEvGkalrP4CN\n",
       "dlkM3A/sHsO3x+abehpTZrLxgllllmJ+jGm6gC8A98Z4H8DmxWpEd4yrWS/F+sCN2P++PMqWVkSy\n",
       "ceQ53dZDisggaLWvcbhQZgghRhOjsUwbgykM63oLMgJxU0RGko9Iljc2v2RUEbwFEK4EbwGEG8Fb\n",
       "gBHEZtiQ1SebXTiCCN4CtJuRrIh40EMJXgohhBiB7AdcjfluvOYsSx4HU50lPL3dmbnu+cz5/42/\n",
       "nXZPCMhZtSm3dzi90WjGFEKUF5VpIo26ZoQQQgghRhLv7nB63q2H4Jy+8CV4CyDcCG2K17tME60R\n",
       "OpSOZlbNYSdsOt9uqnJWqDqp/tFBJiGEEEKUhPuwWeveAKyZ2rzwXn1XCCGGE1lERBqtvpvDTd4C\n",
       "ZCh1ZgghRh0q00QaOaumeHvceoHvY6slbpXaykrwFkC4ErwFEG4EbwEKxixs9dt6LMG69IebdsUL\n",
       "Nh38EmrX1kkIbUqzMBTRR+RkajWwrTPnp3VQFiGEEMWiQuNW+srDkEYfcC5w5jDHW49H2hy/aBOH\n",
       "djg9mTGFEKOJkVqmzaSxRWQ4GMhicaMFrTUzCDShmRBCDJ76ZVpv7y/p7e1LbbMGHPvQ49gYs0w8\n",
       "gy16t1cMnwmchi16tzhes17qvuyidz8AHsamfT8NWCF17d7AXGxBvAewaSFOxGZmfQnrLvlxJt7t\n",
       "gAXUdqPsgy2eB+bycEyMbxG2+u9qTf5rN/VX300zH9gtddyDWW7ScXwU+78Lga80iS+NfEREU4K3\n",
       "AMKV4C2AcCM4pLkBsEtqey+9vUd0MI7x2Kq2VwKTgM8A58U4u7Dp0k/ARlLOjefyOAl4M7B5/J0M\n",
       "fCOe2xY4GzgKeB3wTqyi/ypwLfBprLvks5k4bwJeoFYhOCglw2eA98f41sYUqZ+1+L/zCKn9bLdU\n",
       "npKwI/acdsP+60ZDSLsjFNFHpMj0YNp3n6sUQgjRWdYETqO397QhxrEfcHoL124PTMQUCbCuksuB\n",
       "A7HK93LgL/HcVzGLxmTg8VQcXcAngbcBz8aw72AKw1ewrpczsfVpAJ7IyJDnOJowO8pyFaasTAe+\n",
       "GM8dDhyZiu94zEJxCGaxGE7yZDweeBm4A7PSbA7cO4i4Ax1SgqWIDIwex7T7HNMW/vR5CyDc6PMW\n",
       "AOti+DrTprWiRBi9vX2YJSQdx8Ut3r0O8Ggm7GFM2QB4LBX+AvB0vCetiEwCVgRuTYV1Ue0JWBf4\n",
       "nwYyNOqSmA1cB3wK2DemkcjbDVxCrdLxGjYn1oIGcdajb4DXp1cefhFT6AZDX9yOG+T9LTOSu2au\n",
       "8xZACCFGKfMxxYH4O2dASsjQ43gCmEJti38qVUVjSip8JWB1+ls0FmF+HptgPhqrAasCq8Tzj2Ld\n",
       "NXk084u4G1OMpmPdMuenzj0C7JlKczVMIRqMEpLlBWoVi7WGIU7RgLUws9mV8XgTfL2YvZ1Vg3P6\n",
       "wpfgLYBwI7Qp3sZlWm/vEfT2zhmEb8hwxDEe+AdwdNwPmGPqBtg8Is9hvhDLAadgPh0JaWfVUzFn\n",
       "0UnxeDKwR9zfBvPf2BVrlE8GNoznZmNOq2nS8QJ8GesyehFThBI+H8MTB9pJmM9II7qp76waUvu/\n",
       "xrqWxmFTWywEzmkQx0BG/2jUTA5XAgdg/VxgL+NdfuK4Z0ZwTl/4ErwFEG6ENsXrXaY1YxOsa+BZ\n",
       "rOzfO4bPBH6OjZpZEq+ZmrovO2rmREypeQ6zZByZuvYDmB/FYuB+YPcYvj22zMjTmDKTjRfMKrMU\n",
       "c6pN0wV8AfPLWIyNnvlWk//aTWuKyPrAjdj/vjzKllZEltJfETmsSdoJUkRyuCX+pofpzvUQJFLq\n",
       "zBBCjDpGY5k2BqvQ1/UWZIC8EXjVWQYN383heWCN1PH2mEYrhBBC5LEZ8G9qHTZHAm/FfGpEwXg7\n",
       "cD2mfFyPmc02d5THu/UQnNMXvgRvAYQboU3xepdpw81+mIPqkc0udOJgrEslu72IOdruF697Puf8\n",
       "Eswnpp2oa6YO4zBNcTPMKckT78wIzukLX4K3AMKN0KZ4vcs00RqhQ+lIEcnhDmzSmTd5CxKpYPOI\n",
       "BF8xhBBiWCh1BSP6kX0fAlbnlfo96caGbt2KOa7+N7XrCXSaUmeGEGLUoTJNpJFFpAlvwYYoLXWU\n",
       "wTszgnP6wpfgLYBwI7QpXu8yTbRG6FA6bopI0ad478bmEvkQpoR82VUaIYQYPTyDlBFR5RlvAYrI\n",
       "TdgcIsdSO4mMF/pghRBClI1S130bNr+ko5Q6M4QQQpSSttd9jZY59uIjwLnAUdgDSMtYAX7oIVSO\n",
       "LJ0mUIxVOIUPAeV/WQko78tMwDf/2173FdFHZMX4uzKyQgghhBDCiZ1aDOsUUoqEEEKUjVLXfbfn\n",
       "hN3WcSmqlDozhBBClJJSDt/dAXgHMAn4ItW+qZWBsV5CFYCA+onLTED5X1YCyvsyExjl+V9ERWQ5\n",
       "qkrHyqnwxcD+LhIJIYQQonRM9RYgg9aaEUIIURYCWmuGOcCqqePVgT86yQIlzwwhhBClpO1135h2\n",
       "JzAEJgHPpo6fBt7gJEsRCN4CCFeCtwDCjeAtgHAleAvQboqsiCyltnumG1jmI4oQQgghysaewCPA\n",
       "r+P2SAzzQl0zQgghykYpp3hPMwnYLu7fCCxylMV7inchhBCi07S97ity18wYzAKyFXA5NvX7tq4S\n",
       "+RK8BRCuBG8BhBvBWwDhSvAWoN0UWRH5OTa52YHx+PkYJoQQQgjRdm7P/ALM8xAkIh8RIYQQZaPU\n",
       "w3dfoXZK90lo1IwQQgghOsQhwB+Ax4FvA38HPuQoj7dFJDinL3wJ3gIIN0Kd8M8BdwJ3xf2EzwD3\n",
       "xPDv1rl3PnAHZnG+ORW+OXBDPPcHapfZED4E5/S96z53NgaOjNvGzrJ4Z0ZwTl/4ErwFEG6EnLC3\n",
       "YkrICpjleA7wJmBa3B8fr5tUJ86HsNmqs/wV2Dnufww4YVASi+Ek1AnPU0Q/CPwNm4drqybxjsUU\n",
       "0ctyzh2F9UCsjn/d58Iq8Xf1uK0Rt9WB1fBbgbeUmSEKz7FYwXMncD6wPDa67GaskPkrsE2de1cF\n",
       "fou1nu8Gts+cTxdGoljsD5yROv4a8CXgN8CuLdz/EFauZknPZj0Fe7dE8ainiG4EbAD00lwR+SJw\n",
       "Hmb5SjMFuJKqslrKuu9/4u987EFkt0XAdxzkKmpm5FVE0Jp5dk/gXuB+4OjMuVbuF750Aw9SzfPf\n",
       "AIdihdC7Y9j0eJzH2cBhcX8c8LrUuWxhJIrFRsB9WN6sCFwP/BhTPnuweZf6gK3r3P9gvPYW4JOp\n",
       "8OuAveP+F7FVz0XxqKeIJjRTRNYFrsIsaFmLyEXA2yi5ItKMsVgF2Wm8MyPkhHWTXxG1Yp4dCzwQ\n",
       "4xgPzKXa/dWqeVd0jpATtjpWGa2GKRKXAbsDs6n6Ux2IzUyc5XXYu1OPbGEk/Ah1wg/DFIlrsKkN\n",
       "TsEaJD+K57ehfh6vHX8nYd9+0h2zIba46C3AN/CdRFIYIScsq4jeQDXfobkichGwJbALtYrI3th7\n",
       "BB1URMa1O4Eh0AXsC+yEmYf/AlyC9X15+4sUhcXAq9iLuDT+PgEcgVmNXo3XLcy5d1tMEZkfjy/A\n",
       "XsJ7gE+1cL/w52ngZGz5g5ewCmQO5tj9F+AH2Mi4HXLuXR/L15mYg+KtWD/zi9h78BjmsCiKy1lx\n",
       "AzgRy7ONgN/FsL9iZecawL8y9y6IvwuxcnVb4FqsckusaRsA722H4GLI3ItZqv8EvIBZt1odVfo+\n",
       "4J/xnpAKXxH4CtaYSSj9bOKnYQ/5Y5jm/0faN6HZ3sAvscp49zrXeFtE6vFfwBLsxTo3hrVint0f\n",
       "+FXq+BDgJwO4X/jzJsy3Yw2sUXEJcDBmct0nXvNBTDnJsjWmaCb+I6dijokTgJuo+mrV8yUQ/rw+\n",
       "/q6HNSBWAQ4Hjo/hG2BKapYVqY6GmYh1x+wRjxPr5xjgHGDGsEos2sW3sQZoQiOLyLeBR7FvewGm\n",
       "yJyD+Z08RdUN4lWsoVrUuq8j3EvtPCdjYlg7WZXafrc0RcyMehVRK+bZ/aiviLRq3hW+HEDt+/oR\n",
       "TFlP9+t3Ac/l3LsWVtgk7IQtpVCvMHo9omj8GfMPm4t1p4J1p56LfcO3Um3xrkPV/+6N8Z65mA/Y\n",
       "sS1tnYMAABAZSURBVKk4P4tZRe7DKixRXPIU0YRe4O0txJHtmkkjHxGsUOxOHXfHsHbyA2CLOue8\n",
       "MyPkhOVVRD8DrsBesIQH6N+q3R5zRkw4lqrDaiv3i84ScsI2xyqSCZjCMQsb6n4r1fzbDTPR5/Fn\n",
       "rNUMZgHLc0qWj4g/wVsA4UqoE56niO6DWTteAp7EynKoVUTT7EL/UTMJD1JiReSyuF2DPcxrsO6B\n",
       "F+N+q5yFtezuzITnjRTpwgrh3RrE550ZIScsWxGdDXya1syz44B/YArectQ6q7Zyv+gsoU74l6mO\n",
       "mjobaxFvjXWvzMWc2LaM12YLo80xJWUe5leQHjWTkBRGwo/gLYBwJTin3/a6r4iOKCFznDyErrjf\n",
       "qjKyM7ZQ3jnAZjFsLGZyfBc2Y+tfsVEF78JGm/wVK7x/kRNf25dCHiRfxmRfBtwGfCKGn4VZd17B\n",
       "5oPowyqiX1F1QJuO+QaMBc6kOix6fJ37hRCdorf3l1QtVgDzmTZthpM0ory0ve4rYsWaZi3MR6GC\n",
       "TdD0zwHe341ZVxJFZAfgOMwqAnBM/D2phbgqWItzfjx+FlNa+uJxiL861rGOy3zc29vFe9+7KxMn\n",
       "jufCC28ExvOZz7yTFVYYz/e/fyswnm99awfGjx/H0UffCYznZz/bmnHjxnL44fcB4znnnLex4YaH\n",
       "st126wEwdy4sW/YiW231G+BPzJq1IcuWLeOww+YBSzn99E1ZunQpn/70bcBSfvjDzVi6dBlf+tJf\n",
       "gaWccMIWLFu2jJ6eG4HX+NKXtuG115Zyyil/AZby8Y9vzyuvLOXcc68BlvLe976DV15Zxmuv9fb7\n",
       "fzoe7ceBqpPyfKzOLK0i8iHg+1QtIO/EJmy5aABxdFOriOyPDU1LJvA5BNgOm7yrGd4WkYCsEmUm\n",
       "UIb87+3twixy2W25JsdFumYc8Brm6Jtsr2SOWwkLwBuYOxe2+I/r2pNYmTgOs2SObXG/1euy+8T/\n",
       "sjRuRdgvihz5+9OmDc/irIlF7LrrVmXHHZ/FzyLW9rqvyPOIfA2zhiRWkEnA1QxMEcni7echxMAY\n",
       "SGGUX4kXucIebCXeSqXe7JoXhyme/GumTRt6WdPb2we8IRWyCDieadNOH3LcrcswhsErMe3eX74g\n",
       "ctTu9/ZWGB5lahPgdUycmOTGpvT2HtHR/O8QRVZEuqidSOtfDF0rexybujphCjYJUKv0YK3SviHK\n",
       "0TpD7Se2ymlMZmt3mEeao/V/bQyszI47Jjm6E729ewEv079Sz1bi7apo8yrx4UpreCrx0cF8YFO2\n",
       "2GJNTAmZ0/FKyFr3y6hObiiaYcrbcCg3PwW2SFnD1sSmXejUOxCodtm0lSJ3zXwf8+o/H5PzAGym\n",
       "xy8PII5uartmxmHOqrthM5DejDmrtjJlvE/XjLWK0kNplwH/xgrwVirO5J5kq2SOhxI2nHEVKawo\n",
       "cizD5gXJTkz0F+x7yFbqqsRHG729R2CVz8WjsSUsGtC/7F8EfN3hPSh118yXsA8waQr+Apuwq1Vm\n",
       "Y5m4Bjau+hvYdNZHYrO0JiNFPNatGTjVfuIx2OiefWilYlPFNLLp7V0CpPN/EXAe06Y94SmW6BBW\n",
       "6dxLGfyDRJb5wKbMnbsmW2zhYxHrEEVWRAAujttgOLBO+BVUJ3kZiSwCLmDatGe8BREdYT6wKWaW\n",
       "HdWFkRAixbRpM+jtPYLnn/8EcMZo/u6L3DWT5Sqs//untH+G1Twq2CRffXTWR2QWNu9HuiI6qGPp\n",
       "C39knhdCdJ4Qt1IP380yGVu6ejtsGvNO4zd8VxWREEIIH7ynrhApvH0tgnP6wpfgLYBwI3gLIFwJ\n",
       "zum3ve4b0+4EhBBCCCHE0Klg84gEXzGEEEKIthOwOs+7N0CkUGYIIYQoG6XumtkQWyl2DtAbt/9z\n",
       "lciX4C2AcCV4CyDcCN4CCFeCtwDtpsjziFwEnAacgc27D7JKCCGEEKJD3OotQAYpQUIIIcpG2+u+\n",
       "se1OYAisg80o+Ri2uNeEuL3kJE8P1bHU851kEEIIITpBAGbE3+M9BfFkPvBQzuaFt0UkOKcvfAne\n",
       "Agg3grcAwpXgnH7b674i+4h0ewsghBBCiPZS5GlbDyVfEzun04JENM2tEEKIstH2uq/IFpFtqCoi\n",
       "E4BdgdvwU0SEEEIIUWJWBf7omL73zKpe6YpiELwFEG4EbwGEK8Ex3R78/SMLxXLA3x3T986M4Jy+\n",
       "8CV4CyDcCN4CCFeCc/ptr/uK7PNwWWp/DLAJcCFwtI848hERQghROtpe9xW5Yg2p/deAh4FHfUQB\n",
       "pIgIIYQoH6r7GnBDh9NT14zwJHgLINwI3gIIV4Jz+qVe9K4ZK3gLIIQQQojycnuH0/O2iAghhBCd\n",
       "RhaRgtGDv5lMCCGEaDcBq/NEA8pmEQnO6QtfgrcAwo3gLYBwJTinL4tIAz7qLYAQQgghRi9LcrbH\n",
       "gEuANzrI420REUIIITpNqVff/RE2b8jsePxh4E1Yl8xZ+JurhBBCCDGKuSMnbG78nddJQSLeFpHg\n",
       "nL7wJXgLINwI3gIIV4Jz+qX2EXkROACTcQzwIeDf8Zy3UiCEEEKIUc6bgMuBRXG7HHgzMAHYyUEe\n",
       "KT9CCCHKhuq+Bhzb4fSUGUIIIcqG6r4GeMwj0oNff51XuqIYBG8BhBvBWwDhSnBMtwcpIg3RhGai\n",
       "TARvAYQbwVsA4UpwTt+77is0ZVNEhBBCiE5T6lEzQgghhBjljGRF5CJvATpM8BZAuBK8BRBuBG8B\n",
       "hCvBW4B2U2RFZEPgauBv8fhtwNdS57/dcYmEEEIIURr+DGxH1Reki6pS4oF8RIQQQpSNUvuIrAjc\n",
       "lDquAK86ySKEEEKINlBkRWQhNpNqwv7AAidZikDwFkC4ErwFEG4EbwGEK8FbgHZT5NV3jwR+CWwE\n",
       "PAE8BBzsKpEQQgghSsPY+LsSsIqnIBH5iAghhCgbpa77HsEsIrthjqrelDozhBBClJJS130TgQOA\n",
       "S4CHgZ8COzvKo7VmhCfBWwDhRvAWQLgSHNPtoeSKSJrVgHOBpY4yeGdGcE5f+BK8BRBuBG8BhCvB\n",
       "OX3vus+dAJyGOapeCOznKEvpM0MIIUTpKHXdNx+4FDgQc1j1ptSZIYQQopSUuu4rwkiZNN6ZEZzT\n",
       "F74EbwGEG8FbAOFKcE6/7XVfEecRORr4LnBizrkK8NnOiiOEEEKIdlGEYbFZ9gIuA2ZQq4l1xeOz\n",
       "HWQipl3E5yWEEEK0i1LXfR9qMaxTeHfNCCGEEJ2m1HXf7S2GdQrvzAjO6QtfgrcAwo3gLYBwJTin\n",
       "X0ofkenAe4DJwI+pmoRWRqvvCiGEEKOKIvb7bA5sCZwAfJ2qb8gSoBd4xkmuUveTCSGEKCWlrvtW\n",
       "obrwHXF/RSdZwL9rRgghhOg0pa77bqR2IrOVgeudZAH/zAjO6QtfgrcAwo3gLYBwJTin3/a6b0y7\n",
       "ExgCKwDPp46X4GsREUIIIUSJuA54e+p4a+AGJ1nA3yIihBBCdJpS133bAA8Cf4nbPzBlpB2sD5wB\n",
       "XNTgmlJnhhBCiFJS+rpvPPBWYLO4326KrIgE5/SFL8FbAOFG8BZAuBKc0y+1j8hE4Bjgc8CdQDfw\n",
       "Pk+BnNnCWwDhivK/vCjvy82oz/8iKyIzgVeAd8TjJ8hfCK8eZwFPYUpMmj2Be4H7sQX2Rgqregsg\n",
       "XFH+lxflfbkZ9flfZEXkTdgqvK/E4xcGeP9MTOlIMxb4aQzfBDgQ2BhYHTgd0zxHknIihBBCjGiK\n",
       "OMV7wsvAhNTxm2JYq1yLdeek2RZ4AJgfjy8A9gZOAo4YjJAdpNtbAOFKt7cAwo1ubwGEK93eArSb\n",
       "IisiPcCVwLrA+cCOwIwhxjkZeDR1/BiwXYv3zsPfYfVQ5/SFL8r/8qK8Lzee+T+v3QkUWRH5E3Ab\n",
       "sH08/iywaIhxDkWRGPUOQ0IIIUSnKaIisjFwDzaZWQVYEMPXA6YATwMPDzLux2McCVMwq4gQQggh\n",
       "HCiiIvJF4JPAyeRbMNYA7gAOGUTctwBvwfrcngAOwBxWhRBCCCFa5k8tXDMbUzZexvxCPhbDpwP3\n",
       "YU6rx7ZFutZYCtye2tZrcO3zDc6JkcsaVPN/AWadux3rkixiI0EMD/r2hb79EcIE4CjgEuB3wBew\n",
       "hfBGC0vadK0YmRyHWQPTjPUQRLQdffsiTem//SLPI3IONtfHj7G5PzYFznWVqL1MBK4CbsW6nt6f\n",
       "c83awJ8xzflOYKcYvgdwfbz3whiXGHl0AbOwOW1uBL6HFVJHpa65i2oL+hDgJux9OJ1if8+iPvr2\n",
       "hb79gnJ3i2EjldeomuYuxjTgleO5NbGZXxOSVtFRwFfi/hhgpXjtNVTnXDka+HrbpBbtIil0ZgJ/\n",
       "wAqmdHjCnVhhtHG8Lmk5/Rz4SEckFUNF375IU/pvv8h9UbcBOwA3xOPtMa1/tPASsGXqeDzwHWBn\n",
       "YBmwDvB64J+pa27Gpq4fD1yKje8OmOXo+njNcql9MTK5iMZDzbuA3bCRZbfEsAnAk22WSwwP+vZF\n",
       "PUr57RdREUnWhhkHXIc5mlYwTfA+L6E6wMFYC2crzJntIfr7xFyLFVbvw8x4PwSeAeYAB3VKUNF2\n",
       "Xkztv0at2TX9TpxNtZUsRi769kVCKb/9IvYr7RW36cAbgXcCu8T96Y5ytZtVsBbQUmAaMDXnmvWA\n",
       "hcAZcdsS60/cEZsCH6yP+C3tFlZ0jPlYBUX8XR9TzK8G9gcmxXOr03j0hSgu+vZFHvMpybdfRIvI\n",
       "/NT+FlgroIK1CNo+1WwHyZrfzgMuw5zVbsEmdcteOw34b+BVrO/4o9hsszOw4crLx+u+Sm0/sxhZ\n",
       "pN+Ni7F8vgtzTkusgvcAX8OGso/B3on/BzzSOTHFING3L+qhb79gfA7LgBOAb2JdNp91lUgIIYQQ\n",
       "peFOaoeiTaTqPyKEEEKIUUARfUTSLKuzL4QQQohRQBF9RBJmYv1iv8OGLH0AG74mhBBCiFFCV/NL\n",
       "XHk7NoNg4qx6u684/7+9u1etIgwCMPzapVARvAhBEAsxnY2laCX+9OI9CIKmt7AQC7FIJ9hqbaFe\n",
       "QNBcgyCCoJ2FGItvgwf/Gkn2xPM81e6358CUw+zsDAAAAAAAwL9Y9lczwOrYaMzIONpY8PZi1miA\n",
       "fbHMzarAatkd5nR31iiAfbXsn+8C/7fbjYmRr6sT09lmdXm6vtNY+LZdPVr439nGJNKt6l5mDMGB\n",
       "JREB5nKmuladri40koufPajWq1ONLaMXp/PN6mZj58rX/r6xFFhiEhFgLucac4K+NHpDnv3mN+cb\n",
       "y93eTtcnq2PV4cacoaon6XeDA0uPCDCXnf6cQOw01p4/bFRO3jV6R9b6tfohCYEDTEUEmMurxsTk\n",
       "tepIdWnh2aHpvOpjowJyZbr/3KigrE/31/c8UmDPqIgAc9mqnlZvqg+NptRdO9Wn6nFjC/f7fryK\n",
       "qboxPftWvWwkJwAA+2JxM/et6v5cgQAAq+dqo6KyXT2vjs8bDgAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
       "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAMDy+g5xYR9sIGBPkQAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa74456a9d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAfEAAAFRCAYAAABkLpSTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmcZGV97/FP9/QM2xCGcWFYHQUxGhDQuCTi9REJ6pUg\n",
       "KmJUIiMhCUmukUQDg5rA1ZirJBqvRuPOgC/ABYmiXg2LDhhRiQoIRFCEEQRBlhlZZBlm6v7xO50+\n",
       "XVOnp2u6u37VVZ/369Wvrucsdb7V3dW/Os/znCqQJEmSJEmSJEmSJEmSJEmSJEmSJEnSkLgXWJ4d\n",
       "YgoFuLnWvhr4HzlRpP42lh1AUs9tX7u9iiiYf5sTZVr2yQ4g9avR7ACSZt2C7ACSJA2iE4GfA/cA\n",
       "1wIHVctPAc4BPl2t+z7w1Np+K4Hrq3XXAIfX1q0AvgW8F7gTeDuwF3AxsA64o7rfcRuBPYE/AR4G\n",
       "HiK62M8D3lzlqHs/8L6Gx/K5tmX/t/oaz/XTKvMNwGs63AfANkSPwN3VY/sbJnenr2Hi5/RM4NvA\n",
       "WuBW4APAwtq2hwDXEY/7g8TP4I8ajitJ0rQ9CbgJWFa19wCeUN0+hSioLyfOpN9EFL7xs+ojavsd\n",
       "CdwH7FS1VwDrgb8gete2Bs4GTqrWLwJ+t5ZjY+24pxFFf9yy6r53qNpjwO3AAR0ezx7A/cDiqr2A\n",
       "KKzPBLYDfgU8sVq3E/CUDvcB8C6i2C4BdiPGwG+qrb+RiSL+tOr+R4HHAf8FvLFa9+jqmIdX6/+S\n",
       "+Jke03BcSZKmbS+iIL6AyWePEEX80lp7hCiIBzbc1+XAYdXtFcDP2tafDnwE2LXDvu1F/B1t678K\n",
       "HFvdPpQoqk2+Cfxhdfv3iN4CiCK+lnhRss0U+0OcrR9Sa/8xk8/E60W83fHAudXt1xE9EnU3YRHX\n",
       "AHNMXOqd64micwpRzM8Gdq6t/3ntdqtqj69/HVG411Zf+wCPqm1fL3oAJxAvBC4jivDru8h5OnBU\n",
       "dfso4FNTbHsW8Orq9muAM6vb9wOvAo4jXox8meiJ6GQXJue/qWE7gL2r+/oFcdb9TiZ+Drsw+WdI\n",
       "h7Y0UCziUm+dDTyX6ApuAe+urdu9dnuU6Fq+tdr2o0R3+VJgR6Iwj9S2b7Ud53ZizHtX4E+BDzFx\n",
       "9l3Xvh/AF4nx+H2AlzBRmDs5h7gkbFeiG/us2rrziTPsZcT4/8ca7uMXRNf8uD0atgP4V6ILfS+i\n",
       "y/+tTPwfu5X4mY0baWtLA8ciLvXO3kS38FbEZLIHgQ219U8HXkaMQx9frf8O0TXdIiatjRJn1Zu7\n",
       "7OqVTBSwddX+GztsdzubFvcHgM8TBfm7TH02ewewmpiYdgMxqQzgscBLq+zriTPzDZvuDsBnifH7\n",
       "8THxN0xxvMXEJLxfA78J/Flt3f8D9q2OO0a86FnWfgeSJG2JfYmieA9wFzEbfLzInEzM9K7PTt+/\n",
       "tu/fV/vcAbwH+AYTY71HA5e0HevdRPG9l+jGP7a2bgMThXsvJrrpz61tcyBR9I+exuM6qtr2TbVl\n",
       "y4jivq66768TRbeTbYgu/LVED8ObaZ7Y9lzgR9XjugT430x+7C9k8uz0S4HXTuMxSGrzSeJV/lW1\n",
       "ZUuBC4AfE11tS2rrTgJ+QnS71Se5SMPgZKYee+613Zk883w+GgVuAZ6XHUSaK3PZnX4a8KK2ZSuJ\n",
       "Ir43cFHVhrj05FXV9xcR43d29WuYjGx+k54ZJc6qzyYuN5tPDiFODrYC3lIt+05eHGl+W87kM/Fr\n",
       "mbi2dXyyC8RZ+Im17b4GPHuuw0l95GTgjOwQxBj2fcTzttPlaf3uZGLuwD3Em8I8IzeONL8tZ3IR\n",
       "X1u7PVJrf4DJ41YfB14xp8kkSZrnMrusW3S+vKW+XpIkNej1p5jdTnSj30a8icUvq+W3MPka2d2q\n",
       "Ze2uJ97zWZKkYXElk69W6ZnlTO5OP5WJse+VxHsmQ0xou4J4j+fHE2/D2GmiT/bZ+SnJx1euU7ID\n",
       "KM0p2QGU6pTk46fUvrOJd1B6mHhLxdcTl5hdSOdLzN5CnGlfS1zr2Ul2EV+VfHzlWpUdQGlWZQdQ\n",
       "qlXJx8+ufbMm+4GsSj6+cq3KDqA0q7IDKNWq5ONn175Zk/1ASvLxlatkB1Cakh1AqUry8bNr36wZ\n",
       "mAciSdI0NdY+3xWtOyU7gFKV7ABKU7IDJLubicuC/Zq7r7un+wsZ1+tLzCRJ88+O9NdbA/daIT7Q\n",
       "Z64NfG/zwD9ASepD/u/tjaafs93pkiQNGot4d0p2AKUq2QGUpmQHUKqSHaCJRVySpC13L/HupJoG\n",
       "x2Ukqff83zs9q4B3zGB/x8QlSZpFC7IDDJLsV4Ml+fjKVbIDKE3JDpCs4X9v66PQWl37WrUFdz3T\n",
       "+zgR+DlwD/HZGwcRH1hyDvDpavn3gafW9llJfFbHPcA1wOG1dSuAbwHvBe4E3g68FrgYWAfcUd3v\n",
       "uI3Ep2v+CfFZIQ8RXeznAW+uctS9H3hfw2Pp+kx8vsl+ICX5+MpVsgMoTckOkKypiK+GVqv2dQe0\n",
       "juvyrmdyH08CbiI+4hpgD+AJRBF/GHg5cSb9JuAGJs6qj6jtcyRwH7BT1V4BrAf+guit3hq4CDip\n",
       "Wr8I+N1aho3VMQFOI4r+uGXVfe9QtceIj+Q+oOHxWMQlSbNuukV8tr4umGauvYii+AJgYW35KcCl\n",
       "tfYI8amaBzbcz+XAYdXtFcDP2tafDnwE2LXDvu1FvH1M/KvAsdXtQ4GrGzKAY+KSpER3An8GIyPT\n",
       "/+LiDvfx+Wke73rgeKJo3058BPbO1bqf17ZrVe3xda8jCvfa6msf4FG17W9uO84JxAuBy4gi/Ppp\n",
       "5oN4AXBUdfso4FNd7Dtwss/ES/LxlatkB1Cakh0gWdOZ+Kqq+3u8G/ysLbjrWbgPALYHzgLOAE4G\n",
       "vl1bN0qciT8HeBzwINElPv5WspcDx1S3VwDfbLvvUrv9HOABJs6+62fin2TTM/FtiPdE34cYK99t\n",
       "isfgmbgkqVdGVgB/C1wY30de0+P72JuYyLYVMaHsQWBDte7pwMuIcejjq3XfAbYjiuKdRA18PVFg\n",
       "p/I8Jorvumr/jR22u52Jgj7uAaJn4Szgu0zuIRg62WfikjSM+vV/775EYbwHuIuYEb4zcSb+OSbP\n",
       "Tt+/tt/fV9vfAbwH+AYTZ+JHA5e0HefdRPG9l+jCP7a2bgMThXsvJrrpz61tcyBR9I/ezONxYpsk\n",
       "adbNt/+9J9NfY8+7A/cDizeznd3pc6xkB1Cqkh1AaUp2AHVltj82tcxg31HiErezicvNZpWfJy5J\n",
       "GjQt+qP3YDtinPxG4EXJWfpCP/xSJGnY+L+3N+xOlyRpWFjEu1OyAyhVyQ6gNCU7gFKV7ABNLOKS\n",
       "JM1Tsz2Db661mH+ZJWm+uxvYMTvEEFgLLO2wfGBqn5MrJEnDxolts6RkB1Cqkh1AaUp2AKUq2QGa\n",
       "WMQlSVJP2J0uSRo2dqdLkjRoLOLdKdkBlKpkB1Cakh1AqUp2gCYWcUmS1BOOiUuSho1j4pIkDRqL\n",
       "eHdKdgClKtkBlKZkB1Cqkh2giUVckiT1hGPikqRh45i4JEmDxiLenZIdQKlKdgClKdkBlKpkB2hi\n",
       "EZckST3hmLgkadg4Ji5J0qCxiHenZAdQqpIdQGlKdgClKtkBmljEJUlSTzgmLkkaNo6JS5I0aCzi\n",
       "3SnZAZSqZAdQmpIdQKlKdoAmWUX8JOAa4CrgLGArYClwAfBj4HxgSVI2SZLUYDlwA1G4AT4DHA2c\n",
       "CpxQLTsReFeHfR0TlyQNm76qfUuB64AdgTHgS8DvAdcCO1XbLKva7frqgUiS1AN9V/v+BLgX+CXw\n",
       "qWrZ2tr6kbb2uOwHUpKPr1wlO4DSlOwASlWSj99Xs9P3BI4nutV3ARYDR7Vt0yK/YEuS1NfGEo75\n",
       "28ClwF1V+1zgd4DbiG7024CdibP0TlYBa6rb64ArgNVVu1Tf56o9vqxXx7PdX+3xZf2Sx3bv2qv7\n",
       "LI/twf79F2BF1V7DFEamWjlH9gPOBJ4BPEgU5cuAxxGF/d3ASmJ2+sq2fVvkZJYkKUvf1b4TmLjE\n",
       "7HRgITHh7UKmvsQsu4u9JB9fuUp2AKUp2QGUqiQfP7v2zZrsB1KSj69cJTuA0pTsAEpVko+fXftm\n",
       "zcA8EEmSpqmvZqdLkqRZYBHvTskOoFQlO4DSlOwASlWyAzSxiEuSpJ5wTFySNGwcE5ckadBYxLtT\n",
       "sgMoVckOoDQlO4BSlewATSzikiSpJxwTlyQNG8fEJUkaNBbx7pTsAEpVsgMoTckOoFQlO0ATi7gk\n",
       "SeoJx8QlScPGMXFJkgaNRbw7JTuAUpXsAEpTsgMoVckO0MQiLkmSesIxcUnSsHFMXJKkQWMR707J\n",
       "DqBUJTuA0pTsAEpVsgM0sYhLkqSecExckjRsHBOXJGnQWMS7U7IDKFXJDqA0JTuAUpXsAE0s4pIk\n",
       "qSccE5ckDRvHxCVJGjQW8e6U7ABKVbIDKE3JDqBUJTtAE4u4JEnqCcfEJUnDxjFxSZIGjUW8OyU7\n",
       "gFKV7ABKU7IDKFXJDtDEIi5JknrCMXFJ0rBxTFySpEFjEe9OyQ6gVCU7gNKU7ABKVbIDNLGIS5Kk\n",
       "nnBMXJI0bBwTlyRp0FjEu1OyAyhVyQ6gNCU7gFKV7ABNLOKSJKknHBOXJA0bx8QlSRo0FvHulOwA\n",
       "SlWyAyhNyQ6gVCU7QBOLuCRJ6gnHxCVJw8YxcUmSBo1FvDslO4BSlewASlOyAyhVyQ7QJKuILwHO\n",
       "AX4E/BfwLGApcAHwY+D8ahtJktRnTgeOqW6PATsApwInVMtOBN7VYT/HxCVJw6avat8OwA0dll8L\n",
       "7FTdXla12/XVA5EkqQf6qvbtD3wXOA34AfAxYDtgbW2bkbb2uOwHUpKPr1wlO4DSlOwASlWSj99Y\n",
       "+8Z6maJ2zKcB/wv4T+B9wMq2bVo0h14FrKlurwOuAFZX7VJ9n6v2/nN8/7b7u+3v37Zt271oF2BF\n",
       "1V5Dn1kG3FhrHwh8hZjktqxatjN2p0uSBH12nfhtwM3A3lX7YOAa4EvA0dWyo4Ev9D6aJEnanP2I\n",
       "rvQrgXOJyW5LgQuZ+hKz7DPxknx85SrZAZSmZAdQqpJ8/L4aE4co3s/osPzgXgeRJEm9kX0mLklS\n",
       "r/XVmLgkSZoFFvHulOwASlWyAyhNyQ6gVCU7QBOLuCRJ6gnHxCVJw2ZGY+L7zmIQSZLUQ/9BXNP9\n",
       "58T13Jmyz8RL8vGVq2QHUJqSHUCpSvLxZ3QmfiDwWmAP4gNLzgYOmZ1ckiSpF8aAI4Bbifc5vw54\n",
       "RY8zZJ+JS5LUazOqffsB/wz8BPgQ8QlkALsAN80sV9cs4pKkYTOj2ncx8Dpg2w7rXjeTO94C2UW8\n",
       "JB9fuUp2AKUp2QGUqiQff0Zj4v8GnAH8urbsjdX3M2YQSpIkzbHLOyy7oucpQvaZuCRJvbZFn2L2\n",
       "auA1wOOJz/oetz1w1+zkkiRJc+FxxDjAd4DnVbcL8HTyPsI0+0y8JB9fuUp2AKUp2QGUqiQff4vO\n",
       "xH9WfT171uNIkqQ59a3q+33AvW1f9yRlyj4TlySp1wam9g3MA5EkaZpmdInZnsDW1e3nA38JLJmF\n",
       "UPNRyQ6gVCU7gNKU7ABKVbIDNJlOET8XeATYC/gIsDtw1lyGkiRJs2P8OvETgDe0Les1u9MlScNm\n",
       "RrXvMuJ68auJa8apbmewiEuShs2Mat9vAe8n3vwFopCfONNEWyi7iJfk4ytXyQ6gNCU7gFKV5ONv\n",
       "ce0bA86cxSAzZRFXppIdQGlKdgClKsnHn1Ht+w9gq1kKMlPZRVySpF7bondsG3cjUcjPY+KTzFrA\n",
       "e2eeS5IkbanpXGL2U+Ar1baLiQ9A2X4uQ/Wxkh1AqUp2AKUp2QGUqmQHaDKdM/FT5jqEJEnq3sg0\n",
       "tnkscY34U4BtqmUt4KC5CjWFFtPLLEnSoGisfdPpTj8TuBZ4AnFWvgb43iwFkyRJc+gH1fcf1pZl\n",
       "FfHs2ekl+fjKVbIDKE3JDqBUJfn4M5qd/nD1/TbgUOBWYMdZCCVJkubY7xOfWrYvsJo4Mz8sKUv2\n",
       "mbgkSb02MLVvYB6IJEnTNOPPE/8ScCdwB/BFYpLbMCrZAZSqZAdQmpIdQKlKdoAm0yniZwGfBXYG\n",
       "dgE+B5w9l6EkSdLs+GGHZVf2PEWwO12SNGwaa9903jjl3cA6Js6+X0XMTj+1at89o2jd8c1eJEnD\n",
       "Zka1bw3xISidvm6YhXDdyD4TL8nHV66SHUBpSnYApSrJx5/RxLYTgP2AxwOnAVcAR1TtYZ3gJknS\n",
       "vHBV9f1A4jrxQ4HvJmXJPhOXJKnXZnQmvqH6fijwMeDLwKJZCCVJkubYV4CPEmPgS4CtGd7Z6SX5\n",
       "+MpVsgMoTckOoFQl+fgzOhM/Evh34BBilvqOwN/MTi5JkjQsss/EJUnqtRmdiUuSpD5kEe9OyQ6g\n",
       "VCU7gNKU7ABKVbIDNMks4guAy4kPVwFYClwA/Bg4n5hEJ0mS+tBfA2cC51XtU4k3lgE4EXhXh30c\n",
       "E5ckDZu+q327ARcCz2fiTPxaYKfq9rKq3a7vHogkSXOs72rf54ADgOcxUcTX1taPtLXHZT+Qknx8\n",
       "5SrZAZSmZAdQqpJ8/MbaN9bLFJVDgV8S4+GlYZsWzaFXER/KAnHd+hXE28FSu7+5au8/x/dvu7/b\n",
       "/v5t27bdi3YBVlTtNfSZfwBuJt4B7hfA/cCniO7zZdU2O2N3uiRJ0Me1r96dfioxoQ1gJU5skyQJ\n",
       "+rj2PY+J2elLicluU11ilv1ASvLxlatkB1Cakh1AqUry8ftqTLzu4uoL4G7g4MQskiRpDmWfiUuS\n",
       "1Gu+d7okSYPGIt6dkh1AqUp2AKUp2QGUqmQHaGIRlyRJPeGYuCRp2DgmLknSoLGId6dkB1Cqkh1A\n",
       "aUp2AKUq2QGaWMQlSVJPOCYuSRo2jolLkjRoLOLdKdkBlKpkB1Cakh1AqUp2gCYWcUmS1BOOiUuS\n",
       "ho1j4pIkDRqLeHdKdgClKtkBlKZkB1Cqkh2giUVckiT1hGPikqRh45i4JEmDxiLenZIdQKlKdgCl\n",
       "KdkBlKpkB2hiEZckST3hmLgkadg4Ji5J0qCxiHenZAdQqpIdQGlKdgClKtkBmljEJUlSTzgmLkka\n",
       "No6JS5I0aCzi3SnZAZSqZAdQmpIdQKlKdoAmFnFJktQTjolLkoaNY+KSJA0ai3h3SnYApSrZAZSm\n",
       "ZAdQqpIdoIlFXJIk9YRj4pKkYeOYuCRJg8Yi3p2SHUCpSnYApSnZAZSqZAdoYhGXJEk94Zi4JGnY\n",
       "OCY+h3YHvgFcA1wN/GW1fClwAfBj4HxgScP+S4BzgB8B/wU8q1r+DuBK4Argouo4kiTNW9ln4qXD\n",
       "smXA/tXtxcB1wJOBU4ETquUnAu9quM/TgWOq22PADtXt7WvbvAH4+BYl1mwq2QGUpnRYNtMX8C8C\n",
       "rgV+QvyPGDfd/dU7Jfn42bVv1mQ/kDKNbb4AHEw8OXeqli2r2u12AG6Yxn2eRPOLAPVOyQ6gNKXD\n",
       "spm8gF8AXA8sBxYSPW5PrtZN9wRAvVOSj59d+2ZNvz+Q5cDPiLPotbXlI23tcfsD3wVOA34AfAzY\n",
       "trb+ncBNxAsAX433p08CtwNX1ZbtB3wb+CFwHpN7VdotAC4HvrSF+6t/dPMC/neAr9XaK6svprm/\n",
       "hku/175p6+cHshj4PnB41W4v2nd32Oe3gfXAM6r2+4C3d9huJVHo1X+eCxzA5CL+n9VygNfT+Xc6\n",
       "7q+BM4livSX7qz8sp7sX8EcQL9rHHQV8oLo9nf01XPq59nUl+4GUhuULgX8Hjq8tu5Z4FQ2wM51f\n",
       "TS8Dbqy1DwS+3GG7PYgxN+UqDcuXM7mIr6vd3p0YM+1kN+BC4PlMPhOf7v7qnTLFui15Af8KJhfx\n",
       "PwTe38X+6q2SfHxnp8+hEeATxMzy99WWnwccXd0+muhqa3cbcDOwd9U+mIl/2E+sbfdSostV88M1\n",
       "xO8M4JU0X1nwz8DfABu3cH/lWwh8HvgUE8/x25n8Av6XHfa7hcm/192qZdPdX5qXss/EOzmQ+Cd8\n",
       "BVFoLydmnS4lzrLaZ5juAnyltv9+RPfplcC5TMxOP4c4u7uC+Cfx2Ll8EJqR5Uw+E38S0TPzPeDv\n",
       "gDs77HMo8MHqdmHymfh09le+EeAM4sVY3alMzDZfSeeJaWPAT4m/nUVsOrFtc/srX6f5MJ9mog7c\n",
       "SPPJ1xur/a6ubo9rmg/Tj7VviwzMA9FAWc7kJ3Ld3sTkxXb/QPTC3Aj8ArifKAjT3V/5ZvoC/sXE\n",
       "jPbriStQxjXtr/7SaT5M3T8Bb+uwfJ9qn62Jia0XAHtW65rmw/RV7ZvJtZXZD6QkH1+5SsPy5Ux+\n",
       "Ij+m+j5KFOYVm7nf5zH5TLzb/TX3SnYApSoNy5fTuYiPEFcW7dlh3RFMft+PtxHDatA8H6avxsTX\n",
       "A38F/BbwbOAviG6klUQR35t4h7KVTXfQe62PQms1fOF98b21KjmQ+sfZwKVEF/jNxBv3vJo4w/oR\n",
       "8HNgVbVt+5lYXf1J2rS/pPnhuURX+087rLu6Wr+UuKT4JcScCJin82G6ubYy6Uy8tRpardrXWmi9\n",
       "A1q/Ca0nQGtXaD0GWr8Bra2h5YRBSRp8y+l8Jv6vxMlqk2OIOS8XAx9iYl5F03yYxto30lXc2bec\n",
       "eBD7EF0PO1bLR4jLKnZs275FSubWaqLLs+4+4FZiUsoiYKu2748ADwMPVd/rt/tg2Uj7jGhJm2h9\n",
       "lImrRwDWwMiKnCzqQ8uJobB9a8vGiB60pxE1YnP+gah/H25bvjdx1cOzmKL2jXUVd3YtJmZdvxG4\n",
       "t21di/zx7w5WUw2N3An8LYy0/9ArrRHiZ9te2DsV++ku25Z4UTPT+6lut6Z6kdEHLzj66UXG+D/y\n",
       "Ly6Bl67Df+Qz1BohhvIWVF/1252+ZrJ+pvd9MPD42nP/6dEbx5eJyYj3Ey/o75/8NbJ+1n5c6geF\n",
       "+COYjoOJobCpCvhjiUsH9wBexsQHXz0GuIP4u3wbcUY/pawiPtW1lbcx9bWRq4A11e11xMzQ1VW7\n",
       "VN9nu70G+C244tHwyK/g4AuqAt6w/chqYuz/OdO4//XEXIC5zN/Wbl0MjMHyg2H7MbjqP4Gt4LAD\n",
       "YZtF8JkrgUXwhmfBojF4z3XRfvv+sHAhnHRDbP/+J8PYdvDntwDbwmlPhdExOPqOWP+Z3WB0Ebzy\n",
       "V7H/F3eCkTE47KFof3UJjC6EF26M9kXbwshCOGhhvMj4+iOw8RE4+H7gYfjaKLTWw4vXAQ/BedvA\n",
       "xvVw+O2x/rM7RPsPbor2qsfChvXwR9fH9v+yG2x4BN54Tax/556w/mE45YpYf/yT4eFH4EPfifUv\n",
       "3w8eWE+8yn52TCRfDZR9obUSDlkDC0fhK98DFsCrng1jo3DmD6J97DOi/eEfRvuvngajI/Cea6L9\n",
       "lv1gwSi849pov2MfGB2Ft/442v/4ZBhdAG/6abTfvzeMjMIb1kT7w3tF+09vjvYnlkf7mFujfcYe\n",
       "0f7D26N91i7RfvWd0f7ssmi/cm20z300jCyAl/0q2l9cGu3D7gNG4ctLYvuXPBDrv7p9tF/0cKw/\n",
       "f9v4fsiGWH/hVrH+BcTyb4zFd0aBFnxjI7Q2wkHrgQ1w0Si0NsDBD0X7/LFov/DXwEb42qLY/sX3\n",
       "xvqvbBPtQ9fF+vMWR/uld8X6c3eI9it+Ges/tzTaR/4i1p/1mGi/9pZon7Esjnf0TdH+xK6w27bw\n",
       "wvrTaDGUFwI7wL/tBgu2gcMeieXn7wgLtoYXbB33c+FDsPFBOORu4D744hhseBBefjNwP5yxAzzy\n",
       "ABxzbbT/aRd46EF46/eifdwT4d4H4cyLo73XAXDLg/Dg12f2/Lc9S+2LiEvCtifmw5xJvJXuq4i5\n",
       "MvXtdyFq3klV+xxivHsD8MfAPdX2Lyf+4LYh6ttG4my/UUZ3+gjxyV13MXnM4NRq2buJSW1L2HRy\n",
       "W1J3OkDrOOJdlj7ffAau2fHfPRmz0OMwK8t2qW7XPUS88NzQ8LVxinWbWz+TfefJfY/0YU9bJ5sM\n",
       "pW2mFw6qv9+tgO1qX4s3057ONouJHrmHaO4F6NArsNltxtsP9FcPmGoaa19GQTwQuIS4mH38iXwS\n",
       "cBnwWaJ7YQ1wJJOn20NqEdfw2pJ/5BoMrVXE7OFHE7/3C2DkNYl5RoiztG4K/3RfLGwNPEB3hX+6\n",
       "2zw4f1649aW+KuIzkV3EC9MfF9HAGP9HvvrRUPrgH7l6q3UcfOFYOPzjg/3CrTVKnOnPVq9Bvb2Q\n",
       "TYv+bPUkPNyDFwiF3P/9fTmxTZonRlbEP/J1xwID/o9cmxr5MHHJ6+rkIHNsZCNRIO+b/ftujdHd\n",
       "C4FHEb2y03mxALS2dAhhc8s+SJ9PavVMXJI0j7UWMbNegqm2GWFyzckaShuY2ueYiiSpB1oj0Lqk\n",
       "7Y2+WtC6YPP7zn6YphW+s1h3SnYApSrZAZSmZAdQr420+O+PCV49vvBO4lKxvmERlySpszVMvPXp\n",
       "+KRW58TMgN3pkqQeah0XXeit4zJDJB57Vg3MA5EkaZocE58lJTuAUpXsAEpTsgMoVckO0MQiLkmS\n",
       "esLudEnSsLE7XZKkQWMR707JDqBUJTuA0pTsAEpVsgM0sYhLkqSecExckjRsHBOXJGnQWMS7U7ID\n",
       "KFXJDqA0JTuAUpXsAE0s4pIkqSccE5ckDRvHxCVJGjQW8e6U7ABKVbIDKE3JDqBUJTtAE4u4JEnq\n",
       "CcfEJUnDxjFxSZIGjUW8OyU7gFKV7ABKU7IDKFXJDtDEIi5JknrCMXFJ0rBxTFySpEFjEe9OyQ6g\n",
       "VCU7gNKU7ABKVbIDNLGIS5KknnBMXJI0bBwTlyRp0FjEu1OyAyhVyQ6gNCU7gFKV7ABNLOKSJKkn\n",
       "HBOXJA0bx8QlSRo0FvHulOwASlWyAyhNyQ6gVCU7QBOLuCRJ6gnHxCVJw8YxcUmSBo1FvDslO4BS\n",
       "lewASlOyAyhVyQ7QxCIuSZJ6wjFxSdKwcUxckqRBYxHvTskOoFQlO4DSlOwASlWyAzSxiEuSpJ5w\n",
       "TFySNGwcE5ckadD0WxF/EXAt8BPgxOQsnZTsAEpVsgMoTckOoFQlO0CTfiriC4B/IQr5U4BXA09O\n",
       "TbSp/bMI+N7rAAAED0lEQVQDKJW//+Hl73649e3vv5+K+DOB64E1wHrg08BLMwN1sCQ7gFL5+x9e\n",
       "/u6HW9/+/vupiO8K3Fxr/7xaJkmSOuinIj4fZp4vzw6gVMuzAyjN8uwASrU8O0CTsewANbcAu9fa\n",
       "uxNn43VXkl/sj04+vnL5+x9e/u6HW+bv/8rEY0/bGPBT4hXPIuAK+m9imyRJavBi4DpigttJyVkk\n",
       "SZIkSZp9I9kBkm0AflhrvxS4qWHb+4DFc55IGR4FXFjdXkb8XdxBzL94JvBIUi7NLZ//8rk/z907\n",
       "R9tq/joZ+Ou2ZQsygmjO+fxX3bx87vfTJWb9YDviVdn3iVfoh3XYZmfgEuBy4CrgwGr5IcCl1b6f\n",
       "re5L89MIsAr4MPAd4FTiCf6m2jZXA3tUt48Cvkv8TXwYn1fzlc9/zbvn/rD/s9mG+OFfDnweeBB4\n",
       "GfB04CDgPR32eQ3wNeAAYD9iFv2jgbcCL6j2/T6bvqLT/NICdgF+h8lP4Pp6iCsojgR+l/ib2Ai8\n",
       "thcBNWM+/9XJvHru99N14hkeIH744xYC/wd4LvEL2QV4LPDL2jaXAZ+stv0Ccf1eId7v/dJqm0W1\n",
       "25q/PsfU70swwsQ/7u9Vy7YBbpvjXJodPv/VZN4894e9iLd7LfGq+mnEBIcbga3btvkm8SQ/lOh2\n",
       "eS+wFriAeJWuwfHr2u1HmNxzVf+7OB14S08SaS75/Ne4efPcH/bu9Ha/Qbzq3gA8H3hch232IGYv\n",
       "frz6OoAYO3kOsGe1zXbAE+c6rHpqDfHPner744lX6hcBRwCPqdYtZWK8TPOLz391soY+fu4P+5l4\n",
       "e3fJmcCXiEkt3wN+1GHb5wNvJj5p7V7gdcCdwArgbGCraru3Ep+Lrvmr/vfxeeJ3fTUxkeW6avmP\n",
       "gLcB5xMvitcDf07zpUrqHz7/1cTnviRJkiRJkiRJkiRJkiRJkiRJkiSp3w37R5FKmuwU4vrn3yA+\n",
       "6OOi1DSSpjTsb/YiabLxN7k4OTWFpGnxbVclvZV4F6pvAk+qlp0GvKK6/XfEB39cBXyktt8ziHc3\n",
       "uxz4x2q9pB6yiEvD7enAq4iP1fyfRGFu9wHgmcC+xCc1HVotPw34Y+L9wx9h6k99kjQHLOLScHsu\n",
       "cC7xWdr3Aud12OYg4kM+fljdfgqwBFhMvJc0wFk4x0bqOcfEpeHWorn4toiPXfwgccZ+CzFWvjWb\n",
       "nnVbwKUEnolLw+0S4HCiMG8P/H5t3QgTn518F3Hm/cqq/SvizP2ZVfsP5jyppE14Ji4Nt8uBzwBX\n",
       "Ep+lfVltXQtYB3yM+BjG25joPgf4o2rdRuBiorBLkqR5YLva7ZXAP2cFkSRJ3TmSOJO/CvgS8Kjc\n",
       "OJIkSZIkSZIkSZIkSZIkSZIkSZIkSUPj/wMS7G7RYvma4gAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa740138b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAgUAAAFRCAYAAADka95xAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm4HEW5x/HvZCOQBSIBErYcQEBwYw2IAQoQCIqAgLIr\n",
       "Vy6rsojoBUSJ4hVUNIKKqKgBBEW2XFGWi5gAFwwxkIQQdkgIQZZA2GRRIO/9o2qYycnMOTM5M/32\n",
       "zPw+zzPP6e7p7vc9fZaqqa6qBhERERERERERERERERERERERERERERERERERERERcbQu8CpQyDDm\n",
       "isB1wEvAFRnGbUVdwBKgX1q/HjjMLRsREWkr84GdnXM4DLiLUkHXFxOASxtwnrzqYulKgUjH0x+D\n",
       "SOMY2bYKVDIGeJhY2Hkb4J2AiIiIh0uBd4DXibcMTmHZT6JTgbOAO9I+fwRGApcBLwPTiYV60fuA\n",
       "m4EXgAeBT/eSwzeBfwH/Tuf/j7T988D9wGLgRuJtjaLzgAUp/gxgXNo+vtu5Zqbt84Fdyo6fQKk1\n",
       "ofj9fh54In2/vcWfCDyb4t8LvL/C93UA8Pdu274E/E9a/jgwF3gFWAh8ucI5IP4czgUWAY8BX2DZ\n",
       "n88RaXkD4K/A82n/3wIrl51rC+I1eQX4A/FWzVlV4oqISAeax9K3D7pYttB5GFgPGE4syB5Jx/QH\n",
       "LgZ+nfYdAjwJfC4dvxmxcNqklxzOBC4pW987xdg4nedrxEpJ0SHAiPTeycDTwKAq56r0PZ7JspWC\n",
       "ScS+DYN7ib87sSIyPK1vDIyq8D2tSCx831u27e/AZ9Ly08BH0/LKwOYVzgFwDPAAsBbxe55CrMgV\n",
       "fz5TiBUYiJWCXYCBxIrbrcQKDMTr8wRwPPHn9iliBepbVeKKiEgH6q1SMAU4rez9c4E/l63vSekT\n",
       "+QHAbd3O/3PgG73kMIGl+wHcQKmgI+XyGrBOleMXAx+sci5Y9nss36eL+P121RB/XWAn4CFgG3q/\n",
       "lXkp8PW0vCGxkjA4rT8BHEWpclHNX9N+Rbuy7M/n890PSvYB7knLOxBbJMrdjioF0gbUp0AkW8+W\n",
       "Lb8JPNdtfWhaHkMsLF8sex0MrFFnvDHEWwTFc7yQtq+Vvp5CbNp/Kb2/MvGTcV88WUP8NYmF8E+A\n",
       "nxKvy8+BYVXOeTlwUFo+GLiWeL0A9iPeQphPbI3Ztso5RnfLbUEP38MawO+Jhf/LxErJqmW5P9Vt\n",
       "/yfx708i0meqFIg0jjVw/wXEJusRZa9hxPvg9ZxzAfHTcfl5hgDTgO2BrxD7KqyS3nuZUuFWKb/X\n",
       "0vFFlZr7y4/rKT7Aj4GtgE2BjVI+lfwFWA34MHAgsZJQNIP4SX41YDLxHn8lT7N0f4Z1q+wH8B3i\n",
       "rYUPECtKh1H6f/k0pUpV+bnq/fmL5I4qBSKN8yzxXnR3txD7D2wNfCxtuwI4EtiL2CQ/s9sxs9O+\n",
       "lxHvaw8E7iTeE58L/Cpt624E8RP1zPQy4HRioXsjsTPfk+n4VYC3iZ3pBhFvTZQ3wT9DvBVQ/gl4\n",
       "FrFQHkAszPej58LwwrL4EAvYYofJrYitIQOJHTTfJBbElbwFXEm85TKC2AGTdOwh6bzvEDtFVjvH\n",
       "H4ATKPUpOLWHvIcSK0CvpP3LKyt/SzG+SLwOexN/tiIiIu/ai3h/+0Vip70uYuFR7Ph2G/FTZrGz\n",
       "4FnEjoXnAmcQKwEPp/euIvY3uJ94i+F5YnP7h8reP7RCDhNT/HKHEisDLxM/uV+Ujj+MWDl4GfgH\n",
       "seB7nFKfgfcQ75UvJn4ah9hJchqx8P0T8CNKnRGL32/3DxuV4pPizE7nWkRsol+pwvdUNI7YB+DH\n",
       "ZdsGEvstLE7nvwvYrsrx/YEfEq/lY8BxVO9ouGn6nl8l9iU4maVvN2xJrHS9SqxsXE38GYpID9Yh\n",
       "/qHNBe4j1tIhfkoqfpIp/5TUBbxR9t4FZefaEphD7Ml8XpPzFmmWySw9pK9ALGzKWxj2Ab5H7Nlf\n",
       "aXjdQOJwxvEV3usi/p30pKfjZfncRRwpIiI9GEUcSgWxOe4hlh1SVfyUBD3/Q5sOjE3L16N/aNJ6\n",
       "uogtCUPLtu3A0mPwhxJvE6xE5UrBTcRPxdWmMO4C/kmsVE+lNO9ArcdLbXYg/n8bQKwMvEb9nUBF\n",
       "Ol5vn5K6qFwpGE28l1p0IPFepUirGEqpQ1y5nxEn4ik6l9I99wlUbim4n3iP/Q1i83XxdRCxb8CI\n",
       "tN8WxL+v7j36VyD+LeqT7fI7ktjn4lViP4s9fNMRaT1d9P4pqYvKn3K2otSxCGKv6euak6ZIww0k\n",
       "fkI/qdv2AcSCZc2ybbcRb6nNozSE77gK5zyMOJyvN1OIlYPlPV5EpOFq/ZRU7VOOKgXSqgrEjngT\n",
       "K7w3nlhoV3MmsYMbxGF8o9PyAGLz/xEVjhlJ7FAHsD5xnP0qdRwvIh0si8k2BhJ7Kd9A7KlcNID4\n",
       "D2sLYs/nSqYQm0+fJs5GVuyPcBCwI3Ha0nKPUnlImIiISLuaTan/Xq7V+ymp2qcciL17t0nnrNbR\n",
       "0HvykAnO8cXXBO8ExM0E7wTE1QTn+A0r+5o9edFHiWOUd6I0zLBYmB8A/K7b/jsQazwziROVHE2c\n",
       "fhXifdWLiEMSHyVOxJI3Xd4JiKsu7wTETZd3AuKqyzsBqcy7pWCSc3zxNck7AXEzyTsBcTXJOb53\n",
       "2Zdb3hcmOMcXF/YLsKkweVb8apOcE5LsBe8ExFVwju9d9uWWLow4sFvBrOy1CKx7J1gRkWZR2VeF\n",
       "94UJzvHFhd0fKwNTyisGN/d+nLSRkHG8xcT/d3p11msxlVmV7XUb0KgTiXQmK7DsI3hfIz4gR6RZ\n",
       "RpDNkHKpTSBOuNdsDSv8O4UumGTM9gR7gXjLwNLyC2B/ABva+/Eiy0X/6zpTtZ+7fh+q0IWRDFkB\n",
       "7E6wz4AdA3Zz+joY7Ndg94G91ztLaUv6X9eZVCmok/eFCc7xJVO2I9jDYMUJt0LZewWwY8GeA/u4\n",
       "R3aSqZBxPO//dbK0kFEcVQrq5H1hgnN8yZTdBFb+/IBQYZ9xYE+BfQ2s2ZOFiZ+QcTzv/3WytJBR\n",
       "HFUK6qQLIxmxLcGeBBtUw75rgf0N7Fqw4c3PTTpAq/yvW5f4eOksO0WuSHxg3kvEB3+1E1UK6qQL\n",
       "Ixmxq8C6Pwq5p/1XALsQ7AGwjZuXl3SIPP+vmw/s7Bj/MOKzchrRMjcBuLQB52mUplcK1JzZWME7\n",
       "AcmCbUJ8Tscvu70Rqh9T+BcUjgF+CNwOtlezshMXwTuBqDi75ruvSQ7nMHyHS44BHgaWZBgzVNmu\n",
       "Yf/OvGvPwTm+ZMImgZ1R4Y1Q4/HbplsP31Q/g7YRMo5X5X+dTaXPs2v26RyXAu8ArxNvG3yFWDgX\n",
       "f8+nAmcBd6T3/0h8Ou5lwMvAdGKhXvQ+4GbgBeBB4NO9xP8m8C/g3+n8/5G2fx64nzj5z40sPbfI\n",
       "ecCCFH8GMC5tH9/tXDPT9vnALmXHTwD+Ny13pe/388ATlOYu6Cn+RODZFP9e4P09fH+6fVAnXRhp\n",
       "MhuT5iEY0cfzjAK7Hew6sFV6319kKbVWChr1qmeGznmUbh90sWyl4GFgPWA4MJf45Nudgf7AxcCv\n",
       "075DgCeBz6XjNwMWAZv0Ev9M4JKy9b1TjI3Teb5GrJQUHUKcDKofcDLwNFDsK9T9XN2/v+I+xVsM\n",
       "xe93ErFvw+Be4u9OrIgU+xptDIzq4XvT7QORnDkFuAgKL/btNIVniJ82ngCmg23a99RElvE8cCwU\n",
       "CrW/uLXCORo1Q6cBvyEWrK8ANxArCX8ltjBcCWye9t0z7XcxsaCdBVxD760FBZa+fXEMcDbwUDrP\n",
       "2cQKxjrp/cuAF9N7PwRWIBbOlc5VLV53E4A3gDd7iL8usRViGLGi0y/t80wv8ZpKlYLGCt4JSDPZ\n",
       "GsRPFROr7BDqO1/h31D4IvAd4FawffuSnbgK3gkk84mFOOnrzVC40OEcPXm2bPlN4Llu68WZQMcA\n",
       "2xAL7OLrYGCNOuONId4iKJ7jhbR9rfT1FGLT/kvp/ZWJtzTq0T2nJ2uIvyYwBfgJ8FPidfk5sZLg\n",
       "RpUCkdqdCPw+fcpvoMIkYA9gIth3yiZDEqlT4XDg68Bf4tfCwQ7nqKcpu6d9FxBbLUaUvYYBX6jz\n",
       "nAuAo7qdZwgwDdie2O/h08Aq6b2XKX36r5Tfa+n4okrN/eXH9RQf4MfAVsCmwEYpHzeqFDTWVO8E\n",
       "pFlsZeBo4Ps97DR1+c9fmAFsDWwH/KnvfRYkY1O9EygpXAiFXfv26b5P53gW2KCnk1dZ7u7PxELy\n",
       "UGBgem1N7HzYk+7nvBA4nVjoQmwJKN6CGAa8TWwRGQR8g9L9fYhN+V3dzjkLOJA4smArYD96bvLv\n",
       "Kf5WxNaQgcTOmW8Sb6O4UaVApDbHAddDYV7zQhSeA3Yl9rKeAfah5sUSaZqzgTOIPe33Y9lP29Zt\n",
       "udr7rwK7EQvgp4gdAM+m1Amwmu7nnAx8F/g9sRVgDrGDH8SRADcS+zXMJ/YDWFB27JXp6wvEDoEQ\n",
       "W1E2IN4KmEDsk1Dt++st/nDgF8RrNZ9YOenpg4fUyXv0QXCOL01hK4E9A9bTUCFo6M/fDklDwQ5o\n",
       "3DmliULG8bz/18nSQkZxmj76QBMriPTuCOBvUJibXcjCZWD3A9fEKZU5HQpvZxdfRKT1qfYsDWaD\n",
       "wJ4AG+sUf2QcI243g63qk4PkUKf/r5tLvL3Q/XWQZ1IZ0ORFddKFkQazw8H+4pzDALDvgc0D27z3\n",
       "/aUD6H9dZ1KloE7eFyY4x5eGsv5gD4LV+nCX0MxsYv8CWwR2aHPjyHIIGcfz/l8nSwsZxVGfAhFH\n",
       "+xB7C0/xTiQqXJH6GUxO/Qy+CoW3vLMSEckr1Z6lQawAdjfY3t6ZLMveA3ZDmud+de9sxMViSkPv\n",
       "9Oqc12IqU9lXhS6MNIjtDjaX3D7F0PqD/TfYArCtvLMREVcq+6rwvjDBOb40jE2l/nv3oQmJ9ML2\n",
       "JfYzODz72FImeCcgroJzfO+yL7e8L0xwji8NYdsRe/rX2+cmNCOb3tmmYA+D/QSst9nepDmCdwLi\n",
       "KjjH9y77cksXRhrArgM71juL+tjKKe/bwXp6HruItB+VfVXowkgf2YfB/gE22DuT+lk/sAlgT4Jt\n",
       "652NiGRGZV8V3hcmOMeXPrPfgS3vo0tDIzNZfrYX2HNgR3pn0kGCdwLiKjjH9y77csv7wgTn+NIn\n",
       "9l6w58GGLecJQiOz6RvbGOwBsJ+DreCdTQcI3gmIq+Ac37vsyy1dGOkD+wXYt7yzaBwbDnYt2N/A\n",
       "1vTORkSaRmVfFbowspxsLbDFYCO9M2ks6wf2NbCnwMZ5ZyMiTaGyrwrvCxOc48tysx+ATezjSUIj\n",
       "MmkO+3jqZ3AcWME7mzYUvBMQV8E5vnfZl1veFyY4x5flYqumVoK1+3ii0IhsmsfeCzYH7NetOboi\n",
       "14J3AuIqOMf3LvtySxdGloNNALvIO4ts2FCwP4D9HWwd72xEpCFU9lWhCyN1smFpmuANvTPJjhXA\n",
       "vgr2NNiO3tmISJ+1TNm3DvGxs3OB+4AT0vYrgJnpNS99LToNeAR4ENitbPuWwJz03nlV4nlfmOAc\n",
       "X+pmp4D9vkEnCw06T0ZsV7BnwU5UP4M+C94JiKvgHN+77KvZKGCztDwUeAjYpNs+5wJnpOVNgVnA\n",
       "QKALeBQo/rOaDoxNy9cD4yvE874wwTm+1MUGp9kLN+t935qEBp0nQ7Ye2CywS8FW8s6mhQXvBMRV\n",
       "cI7vXfYtt8nALmXrBWABsEFaPw34r7L3bwS2BUYDD5RtPxC4sML5W/bCiAc7GuzP3ln4s5XALgO7\n",
       "B6zLOxsRqVvDyr4snxXfBWwO3FW2bXvgWeCxtL4msLDs/YXAWhW2P5W2iywnG0CsgH7HOxN/hdeB\n",
       "Q4FLgWlgu/RygIi0qXofDbu8hgJXAScC/yzbfhBweYNjTQLmp+WXiLcjpqb1kL42a/2kjONpffnX\n",
       "PwN/fBX2HkhJX8/fwj//ggEz4YRz4Lzfgp0L/e+GJTnJL/frxeW85KP19v75B+DwtD6fFjMQuIn4\n",
       "D7PcAOAZYitA0anpVXQjsA2xb0L57YODyOftg+AcX2pi/dJ4/Ur9UvoiNPh8TmxdsLvTw6GGeGfT\n",
       "IoJ3AuIqOMf3LvtqVgAuASrNFDeeODKhXLGj4SBgPeJthWJHw7uIFYQC+e1oKC3B9kr3z9Xjvipb\n",
       "EexisHvBNuh9fxFx1DJl3zhi++MsSkMQi4X5b4CjKhxzOnHUwYPA7mXbi0MSHwXOrxKvZS6MeLEC\n",
       "2DSwT3tnkn9WAPtiGra4e+/7i4gTlX1VeF+Y4BxfemU7gT0E1r8JJw9NOGcO2PZp6OZpal2pKngn\n",
       "IK6Cc/yWHH0gkgenAd+FwjveibSOwu3EOUL2Aa6Ms0CKiOSfd0uB5JptDbYAbJB3Jq3JVojPiLC5\n",
       "nTUttEjuqeyrQhdGemDXgJ3Q+35SnRXSpE/PgX3COxsRAVT2VeV9YYJzfKnKNk0d5po5lW9o4rlz\n",
       "xrYDWwj2jTjEs+MF7wTEVXCOrz4FInX6L+D8NHuf9FnhTmBr4giha8CGOyckIrIM75YCySXrAnsB\n",
       "bBXvTNqPDQK7AOxBsPd5ZyPSoVT2VaELIxXYT8DO8c6ivdkRYIvA9vHORKQDqeyrwvvCBOf4sgwb\n",
       "BbYYbI0MgoUMYuSYjU2jO77Vgf0MgncC4io4x1efApEanQT8DgrPeifS/grTif0MdgSu0+0a6XDr\n",
       "EKfynwvcB5SPfDqe+Dyf+4BiK+YhlGb+nQm8A3wIWBH4c9n+Z1eJd3CV4yE+R2hWyuVXxGcSdQTv\n",
       "lgLJFVsl9SXo8s6ks9hAsPPAHgF7v3c2Ik5GAZul5aHAQ8AmwE7AzZQK5tUqHPsB4JG0vCKxok06\n",
       "5jaWffZP97Kv/Phi/KKriI9Kr0gtBdLOvgD8CQrzvRPpLIW3oHAicBYwFWx/54REPDxD/HQO8E/i\n",
       "J/21gGOIn/bfSu8tqnDswcDv0/IbwK1p+S3gnnSenpQfX4wPsVIxCHi+pu+gDXi3FATn+PIuWynN\n",
       "S7BphkFDhrFahG0JNh/s7CY9byIvgncC4ir08n4X8AQwjNi0PwGYBkwFtqqw/6PEpwZ3twrx6cFd\n",
       "3bZ3L/sqHX8TsBi4opdc24oqBZLYCXEGw0yFjOO1CFsN7Bawm8De451NkwTvBMRV6OG9ocAM4rND\n",
       "ID7t97y0vDXweLf9twHurXCeAcANLN03oai87Kt2PMAKwGTgcz3k21a8KwWSCzYo9YLf2jsTKbIB\n",
       "YOeCPQ72Ye9sRDIykPgJ/aSybTdQ6iMA8VP9qmXrE4FTK5zr18CPqsQpL/uqHV90GPCTHt5vK6oU\n",
       "CGD/AXazdxZSiR2U5jM4yDsTkSYrAJcQC+lyRwPfTMsbAQvK3usHLGTZ2wPfJnYQrPbo8mLZV+n4\n",
       "IcDotDyAePvgiBrybwvelYLgHF+w/mAPge3kEDw4xGxB9uHUYnBubEFoC8E7AXEVKmwbBywhdjYs\n",
       "DhMcT2w9uJR4G+HubscG4M5u51k7nWdu2Xk+n977JLGCYT0cvzowHZhNvK3wfapXLtqOKgUdzz4N\n",
       "Ni0+zS9zwSFmi7L3pD4Gt4CN9M6mAYJ3AuIqOMf3LvtySxemo1kB7B6wvbwzkVpY/zQqYT7YFt7Z\n",
       "iLQwlX1V6MJ0NBsPNqcDp9htcfbp1M/gMO9MRFqUyr4qvC9McI7f4exWsEMcEwiOsVucfSDNgHhe\n",
       "nBGx5QTvBMSD/QJsKkyeFb/aJK9EnOLmnveFCc7xO5iNS53XPDuuBcfYbcBGgP05Ve6yeIBVIwXv\n",
       "BCRLtgLYx9LQZ4MpFr/aIrBjPBJyiNkSdGE6lv0Z7GjvLKSvrF96yuKC+NRFkTywAtiGYMen/zWv\n",
       "gN0JNi9VBspfHsOhVfZVoQvTkWwzsH+ADfbORBrF9kmfuj7f+74izWDDYqdluyC1Qi4E+1XqAzMi\n",
       "7TO1W4VALQU5431hgnP8DmW/BzvFOwv0828w2wTswfRPeZB3Nr0I3glIX1khfcA4FWwK2KvxU7+d\n",
       "kvq8VBjmbJNiRWBKsUJweeZpp0Sc4uae94UJzvE7kG2Y/hiHeWeCfv5NYMPB/gfsDrDRve/vJngn\n",
       "IMvDRhJn2bwY7Gmwh8HOB/sE2JAaz3EMXDvDqYXg3SQcY+eaLkzHsV+CfbP3/aR1WT+wr6fm2494\n",
       "ZyOtzAaAbZf6rUwHezlVOo8FW987uz5Q2VeFLkxHsbXBFoOt2vu+0vpsT7Dn1KFU6mNrgx0BdmX6\n",
       "fzET7Byw0AK3pWqlsq8K7wsTnON3GJsI9kPvLMoE7wTan20ENje1EK3gnU2Z4J2AFNlgsF2Jz9a4\n",
       "D+z5eK/fPtfEW1ChSeetlXfZl1veFyY4x+8gNjLV+tfyzqRM8E6gM9gwsKuIz7jIy88/eCfQuayQ\n",
       "KosnUBoueEe65TQWrH8GSYQMYvTEu+zLLV2YjmHfAvuFdxbixQpgpxGHom7vnY1kzYaB7Q32M+Jc\n",
       "AU+CXQS2f2m4YEdR2VeFLkxHsGFpxMF7vTMRbzYe7FmwL1QeMibtwfqBbZ6GC05NwwX/F+zLYO/X\n",
       "z15lXzXeFyY4x+8Q9hWw33lnUUHwTqAz2QZg9xLHjK/olERwitvGbDWwg9NwwWfAHiI+G+PjtQ8X\n",
       "zExwju9d9uWW94UJzvE7gA1OTcYf8s6kguCdQOeyIbGiaDPA1nVIIDjEbDM2AOyjYGeVDRecDHYM\n",
       "2Hre2fUiOMf3LvtySxem7dkxYH/yzkLyyAqpOflpsJ28s5Fa2Dpg/5k6jr6YhgueDbZjGw0XzILK\n",
       "vip0YdqaDUidirbzzkTyzD6Wmpu/pHvNeWODwXYD+0EaWpqmBrbPgo3yzq6FqeyrwvvCBOf4bc4O\n",
       "BbvVO4seBO8EpMi60qfOy8BWyiBgyCBGC7IC2MZgJ4Jdn4YL/h/YGWBbZzRcMAvBOb532Zdb3hcm\n",
       "OMdvY9aPOBHJ7t6Z9CB4JyDlbCWwS1PloNn3pEOTz99CbDjxKZcXlg0X/CXYfmCreGfXJME5vnfZ\n",
       "V7N1gCnAXOA+4ISy944HHkjbv5u2dQFvADPT64Ky/bcE5gCPAOdVidcyF0bqZXuD3a3mYKmPFYiT\n",
       "2jwDtqt3Nu3J+oFtQZw34tay4YIng22qv9lMtEzZNwrYLC0PBR4CNgF2Am4GBqb3Vktfu4gFfyXT\n",
       "gbFp+XpgfIV9WubCSD2sAHYX2P7emUirspA6IH5VhVQj2Gpgh4BdQpwn4sE0XHCPjG7XyNJatuyb\n",
       "DHwMuALYucL7XVSuFIwmtioUHQhcWGE/7wsTnOO3Kds5/dPJ+/3H4J2A9MTWAfs72BVNGOceGny+\n",
       "nLEBYOPAvp2u4Utg17bIcMEsBOf4DSv7+jXqRDXoAjYH7gI2AnYApgFTga3K9luPeOtgKjAubVsL\n",
       "WFi2z1Npm3SG04FzoPCOdyLSygpPAtsDrwHT0IyYvbB1wY4EuxpYBJxPLDNOAVaHwqegcCEU5rmm\n",
       "KS1pKDAD2Cetz6HUL2Br4PG0PAgozlu9BbAAGEasNNxcdr7tgesqxPFuKZCGs7FgCzRmWRrHCmDH\n",
       "pmbvPbyzyQ9bMQ0X/CHY/Wm44GVgh4Gt4Z2d9KhhZd+ARp2oBwOBq4HfEm8fQPzUf01a/juwBFgV\n",
       "eAH4d9p+D/AYsCGxZWDtsnOunbZVMgmYn5ZfAmYRWx2g1MSj9ZZZv+os2P/7UPh3PvLReuuvF6YC\n",
       "P4NjB8A+l4BNBM6Gwo75yC+r9X4B9l4XrhkBjIdbdoDXHoO9/gB8FgYNg7csP/lqvWw9AIen9fm0\n",
       "kAJwCTCx2/ajgW+m5Y2ILQIAI4HifeP1iZWH4hCWu4Bt0jnz2tEwOMdvM/b+9GmuVTouBe8EpF62\n",
       "FtjfwK4BG9aHE4VGZdRcNhzsU2A/B5ufWuF+0ebDBbMQnON7l301G0dsBZhFaZjheGLrwaXE2wh3\n",
       "U7qg+xKHKM5M2z9Rdq7ikMRHife2KvG+MME5fpuxS8BO986iDsE7AVketkIqJO+PE+0sl1BhW71D\n",
       "ssdS+j95L3BAhXP+keojtCocXxwuuP7jMOZ1+NA7sOErMPcMDRdsqOAc37vsyy1dmLZh64G9oE8v\n",
       "kh07Euw5sE826IT1DslekVLn71HA85RaTiF+aLqMWOBXko631eGO42DYm/BWGi74vifhnC+0UKub\n",
       "1EdlXxW6MG3DLgA72zsL6TS2bZqB78z4KbuhehuSXW49Yp+qoqHA7cRKRbeWAhsItn0aLjgjDhec\n",
       "fROsvAisK+00hdjaKu1JZV8V3hcmOMdvEzYKbHEL9ngO3glII9gosNvB/gi2co0HhV7e7wKeII6m\n",
       "mglMoPKQ7LHE2w2vA3uXbZ+Y1scAc8DGgB2V+kK8SJzt87/htKOgUOn4KZRuzZ5R4/cktQvO8b3L\n",
       "vtzyvjDBOX6bsO+C/dg7i+UQvBOQRrFBYD8Beyjee+9V6OG9Wodkl3sfsVf5ysBm0P86sN3h77+C\n",
       "jd5Mtzl+S3xIWKXKc/nxAGuW5XITcFgN35PULjjH9y77cksXpuXZiNSXYIx3JiJgh6fx+vsu5wkG\n",
       "Egvhk8q23QDsWLb+KHFIdnncAgz7G1z8A/jWXBi9BEa/CcNfSsNz/1pD7FuofMvgc0ArVrqlOpV9\n",
       "VejCtDw7A2ySdxYiJbYV2BPpnn09U23XOiT7ibj48Q/CK/vHkRCPLoQ134ZnfhMrJO/exki3Dyrq\n",
       "ojT3zBjiUO/hxM6KI9P2gcBVwFF1fB+Sfyr7qvC+MME5fouzIWlegk28M1lOwTsBaRZbHWwq2PWx\n",
       "NWsZocK2GoZkD30ALrgo9mGY9Aas9yqssRBWuhf6VZqLpYulRx98klIF41BK/QamU5rLZQjx9sXs\n",
       "9P5EYoVFGic4x/cu+3LL+8IE5/gtzk4kzrPeqoJ3AtJMNjDOfmiPgn2g25uhxnOsnvoB/Db1C3gg\n",
       "nXN3sBUbnbFkJjjH9y77cksXpmXZoDQUbKve9xXxZIekfgafqWHfgWA7xJEBdnccLmjXpJED6jcj\n",
       "jdKwsq/dmpCM9vueOoQdARwAhd28MxHpnW1OfH7Ly+lV/Kc8nzjccPf02pnYkfAm4EZgGhTeyjhZ\n",
       "aX8q+6qic9vyAAAbH0lEQVTwbikIzvFblPUHexgseGfSR8E7AcmSjUxzBBhMsfjV3gZ7BezSdJtg\n",
       "de8sJRPBOX7mT0kcCrwBvANsnF43AKrxSiPsR5zS9VbvRERqV3ge7F5gh7KN/YG7oKB5AKSt3QOs\n",
       "BKxFbB67kjgHd954txRI3awANovGzTcvkiGbmloIiq9FYMd4ZyUdJ/Oyb2b6ejzw1bQ8O+skaqBK\n",
       "QcuxPeKnrYbPMy+SAZuUKgLFCsHl3hlJR3KpFHyEOFf3+9O2ahNoePKuFATn+C3Ibgc7yDuLBgne\n",
       "CYgHOwaunaEWgo4WnONnXvbtSHyO93+l9Q2A87NOogaqFLQU2x7sMbBa+7bkXfBOQNwE7wTEVXCO\n",
       "71b2DfEKXCPvSoHUxa6P47VFRKQPMi/7tgPuB55M65sBF2SdRA1UKWgZtjnYU2AreGciItLiMi/7\n",
       "pgPrUupwCPGZ33njXSkIzvFbiF0B9mXvLBoseCcgboJ3AuIqOMfPfJ4CiE/cKvd2o5KQTmMbEWd6\n",
       "O8I7ExERqd9VwEeJLQWDgFOA37tmVJl3S4HUxH4FNsE7CxGRNpF52TcSuBx4DlhEnLho1ayTqIEq\n",
       "Bbln64AtBsvj74+ISCvKtOwbQD5nL6zEu1IQnOO3APsR2LneWTRJ8E5A3ATvBMRVcI6faZ+Ct4Ex\n",
       "wArAvxoVWDqRrQZ8jtIEWCIikiO1PmrxUuB9xAmMXk/bDPhhM5LqAz0+MtfsLGB1KBztnYmISBtp\n",
       "WNlX6+iDx9KrH/GJiQX8m+qlpdhw4FhgG+9MRESkM3hXVIJz/Byzr3bAw2KCdwLiJngnIK6Cc/zM\n",
       "5ymYUiWJnRuViLQzWxH4ErC7dyYiIlJdrfcgtipbHgzsR+yA+JWGZ9Q36lOQS3YcsAcUPumdiYhI\n",
       "G8pF2fd37wQq8L59IMuwgWDzwD7inYmISJtqWNnXr8b93lP2GgmMB4Y3Kok2ErwTyKEDgflQ+Jt3\n",
       "IhkI3gmIm+CdgLgK3gk0Sq19Cu6hVBN5G5iP5q2XXlk/4DTgJO9MRESkcQbXuM2bbh/kiu0DNgPM\n",
       "/V6XiEgby7zsu6fGbd5UKcgNK4BNB9vXOxMRkTaXWZ+C0cCWwErAFml5C+L9k5UalUQbCd4J5MjO\n",
       "wDBgsnciGQreCYib4J2AuAreCTRKb30KdgMOB9YCflC2/VXg9CblJO3hdOAcKCzxTkRERBprf+8E\n",
       "aqTbB7lg24A9EYcjiohIkzWs7KunA9iewKYs3cHwW41KpEFyMYGD2GTgL1D4iXcmIiIdIPOy7+fA\n",
       "JcBC4EzgPuBXWSZQI++WguAcPwfsA2DPpKmNO03wTkDcBO8ExFVwjp/55EXbAZ8FFgPfBLYFNq7h\n",
       "uHWIz02YS6xInFD23vHAA2n7d8u2nwY8AjxI7NNQtCUwJ713Xo15S/ZOBc6DwhveiYiISHNMT1+n\n",
       "ETsdDgYereG4UcBmaXko8BCwCbATcDNQvOe8Wvq6KTArbe9KMYpNItOBsWn5euKsit15txR0OFsf\n",
       "7Hmwlb0zERHpIJmXfV8HRhAfhPRMep21HOeZDHwMuILKT1g8DfivsvUbia0So4mtCkUHAhdWOF6V\n",
       "Alf2M7D/9s5CRKTDuJZ9g4FVluO4LuAJ4tj1mcAEYsvDVEpPYfwxcEjZMRcRKyJbElsWirYHrqsQ\n",
       "w7tSEJzjO7LRYC+Cre6diaPgnYC4Cd4JiKvgHL9hZV+tzz4YApwMrAscSewrMA74U43HDwWuAk4k\n",
       "znEwgNjysC2wNfAHYP2as+7ZJOKzGQBeIt6OmJrWQ/rarPXNenm/nde/BBf/FQ7fFHguB/l4rHfy\n",
       "z1/rWtd6duuBOIcQlMq7TP2B2Kw/N60PAWbXeOxA4CaWfijODcCOZeuPEp++eGp6Fd0IbEPsm1B+\n",
       "++AgdPsgR2wE2GKwdb0zERHpQJmXfXenrzPLttVSKSgQhzJO7Lb9aOIoBoCNgAVpudjRcBCwHvAY\n",
       "pY6GdxErCAXU0TBn7Otgv/HOQkSkQ2Ve9t0JrEipUrABpREJPRkHLCEW9DPTazyx9eBS4hDDu1n6\n",
       "fszpxJaDB4Hdy7YXhyQ+CpxfJZ53pSA4x3dgQ8GeA3ufdyY5ELwTEDfBOwFxFZzjZ1727QbcCiwC\n",
       "Lid2GNwp6yRqoEpB5uxLYFd5Z5ETwTsBcRO8ExBXwTl+ZmXfR9PXwcR7/num12pVj/DlXSnoMLYC\n",
       "2EKwLb0zERHpYJmVfcW+BPdkFbCPVCnIlP0n2I3eWYiIdLjMyr67gF8Sh5idT5xHoPiqdl/fk3el\n",
       "IDjHz5D1B3sEbMfe9+0YwTsBcRO8ExBXwTl+ZvMU7AnsQuxTcDex57+VfZXOtT+xsnibdyIiIpKt\n",
       "zXp5/7RMsuidKiqZsALYLLBPeGciIiL5K/tm9r5LJnJ3YdqTfRxsdqwciIiIs9yVfaoURME5fgas\n",
       "AHYH2IHemeRQ8E5A3ATvBMRVcI7fsLKvX6NOJB1je2AN4rMsRERElqGWgo5hN4Ad6Z2FiIi8K3dl\n",
       "3+neCSS5uzDtxbZIkxWt4J2JiIi8K/Oyb2PgFkpPSfwQcEbWSdTAu1IQnOM3mV0JdrJ3FjkWvBMQ\n",
       "N8E7AXEVnONnXvbdRnxCYfE2QYFSBSFPVCloGts4PfhoqHcmORa8ExA3wTsBcRWc42de9s1IX8v7\n",
       "DszKOokaeFcK2pj9Guwb3lmIiMgyMpvRsGgR8N6y9f2BpxuVhOSdrQvsw9K/AyIi0qE2IPYpeAP4\n",
       "B3AH0OWZUBXeLQXBOX6T2Hlg3/fOogUE7wTETfBOQFwF5/iZtxQ8RnwGwhDi3AavNioByTtbDfgs\n",
       "8H7vTEREpLlqnaZ2BLFg6KJUkTDghCbk1BfFhzVJw9i3gZFQOMY7ExERqahhZV+tLQXXA38D7gWW\n",
       "oKckdghbGTgGGOudiYiI5Mc93gnUyLuiEpzjN5idCnaZdxYtJHgnIG6CdwLiKjjHz7xPweXAUcB1\n",
       "wL/Kti9uVCKSN7YicBKwq3cmIiKSL18EXgaeAOal1+OuGVXm3VLQRuwLYP/jnYWIiPQq87JvHjAy\n",
       "66DLQZWChrCBYPPBtvXOREREepX5o5MfIc5RID0L3gk0yEHA41CY5p1IiwneCYib4J2AuAreCTRK\n",
       "rX0KXidOazyFUp+CPA5JlD6zfsBpwPHemYiISLZqHdd4eIVtBlzcuFQaQvMU9JntS6wUjIWCbseI\n",
       "iOSfyr4qVIj1iRXA/g72Ke9MRESkZpmVfVemr3MqvO7NKok6eFcKgnP8PrJdwe5PtxCkfsE7AXET\n",
       "vBMQV8E5fmbzFBT7DDwAfIWlmye+16gkJDdOA86BwhLvREREJL9mVtg2J/MseufdUtDC7CNpGOJA\n",
       "70xERKQumZV9xxIL/9dZ+tbBfCCP09+qUrDc7I9xwiIREWkxmZV9KxOfjPh7YExa7gJWzSqBOnlX\n",
       "CoJz/OVkHwR7Ok1tLMsveCcgboJ3AuIqOMfPrE/By+l1YKMCSi6dCvwICpqgSkRE2oZ3S0ELsg3A\n",
       "ngcb7p2JiIgsF5V9VejC1M0uBPu2dxYiIrLcVPZV4X1hgnP8OtmaYC+CreadSZsI3gmIm+CdgLgK\n",
       "zvEzfyCStKcvAZdAYZF3IiIiIo3m3VLQQuw9YIvB1vHORERE+qRlWgrWIT5ZcS5wH6UZEicAC4mT\n",
       "Is0ExqftXcRHNBe3X1B2ri2JcyQ8ApzX3LQ7wvHAZCg86Z2IiIh0hlHAZml5KPAQsAlwJnByhf27\n",
       "qD5T4nRgbFq+nlJFopx3S0Fwjl8jGwq2CGxj70zaTPBOQNwE7wTEVXCO3zItBc8As9LyP4nPUFgr\n",
       "rdfzmMfRwDBixQDgEmCfRiTYoY4CpkDhIe9ERESkM3UBTxBbDM4kTpU8G/gVsErZPv8k3jqYCoxL\n",
       "27cCbi471/bAdRVieLcUtABbAewpsM29MxERkYZoubJvKDCD0qf71YktBQXg28SKAcAgYERa3gJY\n",
       "QGwhUKWgYexIsBu8sxARkYbJbJrjRhgIXA38Fpictj1X9v5FlAr4f6cXwD3AY8CGwFPA2mXHrJ22\n",
       "VTKJ2AoB8BLx9sXUtB7S12atn5RxvDrXh+wCN06A8QflI5+2W8/5z1/rTVwvLuclH623988/AIen\n",
       "9fm0kALx/v/EbttHly1/Cbg8LY8E+qfl9YkjFIq3Fu4CtknnVEfD5WIHgf0fWD39OaR2wTsBcRO8\n",
       "ExBXwTm+d9lXs3HAEuKnp+Iwwz2IFYV7iX0KJgNrpP33JQ5dnAncDXyi7FzFIYmPAudXidcyFyZ7\n",
       "VgC7F+zj3pmIiEhDqeyrQhemKtsTbJZaCURE2o7Kviq8L0xwjl+FFcDuBDvAO5M2F7wTEDfBOwFx\n",
       "FZzjt8w8BZIPOwCrAVd5JyIiIpIV75aCnLKbwP7TOwsREWkKlX1V6MIsw7YEWxgnLRIRkTaksq8K\n",
       "7wsTnONXYFeBneSdRYcI3gmIm+CdgLgKzvFbavIicWPvI/Yn+Jx3JiIiIlnzbinIGfsN2Ne9sxAR\n",
       "kaZS2VeFLsy7bAzYYrARve8rIiItTGVfFd4XJjjHL2M/BvuedxYdJngnIG6CdwLiKjjHV58C6Ymt\n",
       "DhwCvN87ExERES/eLQU5Yd8B+5l3FiIikgmVfVXowmArg70Atr53JiIikglNc5xTwTsB4Djgeig8\n",
       "7p1IBwreCYib4J2AuAreCTSK+hS0FVsJOBHYxTsTERERbx1++8C+CDbZOwsREclUh5d91XXwhbFB\n",
       "YE+AbeOdiYiIZKqDy76eeV+Y4BfaDge7xS++0Eb3FaVuwTsBcRWc42ueAiln/YFTgS94ZyIiIpIX\n",
       "3i0FTmw/sOlgBe9MREQkcx1a9vWuAy+MFcBmgO3jnYmIiLjowLKvNt4XJmQf0nYDmwumOSf8Be8E\n",
       "xE3wTkBcBef4mrxI3nU6cA4UlngnIiIikifeLQUZs+3A5oEN9M5ERETcdFjZV7sOuzB2Hdix3lmI\n",
       "iIirDiv7aud9YUJ2oexDYE+DDc4upvQieCcgboJ3AuIqOMdXnwLhVGAiFN70TkRERCSPvFsKMmLv\n",
       "BXsebLh3JiIi4q5Dyr76dciFsV+AneWdhYiI5EKHlH31874wofkhbC2wxWAjmx9L6hS8ExA3wTsB\n",
       "cRWc46tPQQc7GbgECs97JyIiIpJn3i0FTWarplaCdbwzERGR3FBLQYc6HrgGCk96JyIiIpJ33i0F\n",
       "oXmntmFgi8A2al4M6aPgnYC4Cd4JiKvgHF8tBR3oKOCvUHjYOxEREZFW4N1S0CQ2GOwfYJt7ZyIi\n",
       "IrnTpmVf37XphbGjwa73zkJERHKpTcu+vvO+MKHxp7QBYI+BjWv8uaXBgncC4iZ4JyCugnN89Sno\n",
       "IJ8B/gGF//NOREREpC/WAaYAc4H7gBPS9gnAQmBmeu1RdsxpwCPAg8BuZdu3BOak986rEs+7paDB\n",
       "rB/YHLA9et9XREQ6VMuUfaOAzdLyUOAhYBPgTOLMfN1tCswCBgJdwKNAIb03HRiblq8Hxlc4vmUu\n",
       "TG3sk2AzwQq97ysiIh2qZW4fPEMs5AH+CTwArJXWKxV0ewO/A94C5hMrBdsAo4FhxIoBwCXAPk3J\n",
       "uG9C405lBeB04GwotFllp20F7wTETfBOQFwF7wQaJcs+BV3A5sC0tH48MBv4FbBK2rYm8bZC0UJi\n",
       "JaL79qcoVS7a1Y7AqsDV3omIiEhnyKpSMBS4CjiR2GLwM2A94q2Fp4EfNDDWJGKfhQnASSxdgwtN\n",
       "XqeX9+tZPx2+ey0Utm9ivlrP789f6621PjVn+Wi9vX/+gVjWTSKWdS1lIHATsYCupIvYgRDg1PQq\n",
       "upF4+2AU8dZD0UHAhRXO1SbN7LYV2JNgg7wzERGR3GuZsq9AvP8/sdv20WXLXwIuT8vFjoaDiC0J\n",
       "j1Hqe3AXsYJQIL8dDUNjTmNXg53YmHNJhoJ3AuImeCcgroJzfO+yr2bjgCXEgr58+OElwL3EPgWT\n",
       "gTXKjjmd2MHwQWD3su3FIYmPAudXied9YULfT2Gbgj0HNqTv55KMBe8ExE3wTkBcBef43mVfbrXB\n",
       "hbGLwc7wzkJERFpGG5R9zdHiF8a6wF4AG+GdiYiItIwWL/uax/vChL4dbj8B+25DMhEPwTsBcRO8\n",
       "ExBXwTl+w8q+AY06kfSVrQEcTOxsKSIiIn3k3VLQB3Y22E+9sxARkZbTwmVfc7XohbFVUl+CLu9M\n",
       "RESk5bTMsw86TVjO444D/gyF+Y1LRRwE7wTETfBOQFwF7wQaRX0K3NlKxOmfd/bOREREpJ204O0D\n",
       "OwHsWu8sRESkZbVg2ZeNFrswNghsAdhY70xERKRltVjZlx3vCxPq293+A+wvTclEPATvBMRN8E5A\n",
       "XAXn+JqnoPVZf+ITIY/1zkRERKQdebcU1MH2B5sGVuh9XxERkapaqOzLVotcGCuA3QO2t3cmIiLS\n",
       "8lqk7Mue94UJte1mu4PdB6Z5ItpL8E5A3ATvBMRVcI6vyYta3OnAOVBY4p2IiIhIu/JuKaiBfRRs\n",
       "Hpg6eYqISCO0QNnnowUujP0J7BjvLEREpG20QNnnw/vChJ7fts3A/gE2OJNsJGvBOwFxE7wTEFfB\n",
       "Ob76FLSoU4GJUHjTOxEREZF2591S0APbEGwR2DDvTEREpK3kuOzzleMLY78E+5Z3FiIi0nZyXPb5\n",
       "8r4wofJmWxtsMdjITLORrAXvBMRN8E5AXAXn+OpT0GJOBiZB4XnvRERERDqFd0tBBTYytRKs7Z2J\n",
       "iIi0JbUUtJDjgauhsNA7ERERkU7i3VIQll61YTBvMQyZBswF7gNO6HbMl4ElwHvSehfwBjAzvS6o\n",
       "EOePwJwqOQwGfgfcC9xPHAZZdAAwO+VxTu/fjtQpeCcgboJ3AuIqOMdvWNmnqXab6xh45zZ4bQIw\n",
       "CxgK3A3cDDwArAPsCjzR7bhHgc2rnHNf4FWq/xIcmL5+CFiRWDG4HHgN+B6wBfACMAnYGfhrnd+T\n",
       "iIhIS/BuKShjg9PshR/u9sZkYJe0fCWx8J7H0i0F1VoBhgK3A5v0sM/uxJaE/sBI4CFgFWBr4C9l\n",
       "+x0G/LTGb0ZERPJLfQpawOHATCjMLtvWRWwBuAvYG1hIbObvbr14LFOBcWXbzwLOBV7vIe5NwCvA\n",
       "08B84PvAS8TWh42BMcQWon2ILRUiIiJtybulIMQvNgDs8fhExHcNBWYQC+OViBWD4em9ecCqaXkQ\n",
       "MCItbwEsAIYBmwH/k7Z3Ub2l4FDgamJLwWrAg8RKBsCewDTgTmLl4tp6v0HpUfBOQNwE7wTEVXCO\n",
       "r5aCnDsAeBIKd6T1gcSC+rfE2wcbEAv22cQKwdrEvgarA/8GXkzH3QM8BmwEbAtslfa/PW2r1B9g\n",
       "O2Jh/w6wCLgjHQfwp3Se7YCHibcWRERE2pJ3SwFg/cDuAxufNhSAS4CJPRxU3qdgJPFTPsD6xFsM\n",
       "q3TbfwzVWwpOAH6dlocQRz18IK2vnr6OIN6eeG+P34qIiLSCHJR9+ZSDC2N7gd0DVkgbxhGHHM6i\n",
       "NMxwj24HPU6pUrAvccjgTGLrwScqBOli6b4InwS+mZZXILZIzCFWCL5ctt/ladtc4DN1fmMiIpJP\n",
       "OSj78sn5wvQLYHeBfdo3D3ESvBMQN8E7AXEVnOOrT0E+Hb85san/Gu9MREREOp1TS4H9AmxqesbB\n",
       "g2CTfPIQEZEOpNsHVXhVCqaCWdlrEdgxPrmIiEiHaZnbB+sAU2jMvP9bEjvPPQKc17SM+2RqcWEk\n",
       "sJ9fHuIkeCcgboJ3AuIqeCfQKkYRJ92BOHnPQ8QpeiFWGG6k9il+pwNj0/L1wPgK+zi3FExUS0Fn\n",
       "O8k7AXGjn31n8/75t0xLwTPEoXgA/yQ+BGjNtP5D4Ks1nmc0cVa/6Wn9EuLMgHkxH3g+zibM88DN\n",
       "ULjQNSPx0H0+Cekc+tl3trb5+Wc5+qCL5Z/3f620f9FTaVtOFA4Hvg7PPx6/Fg52TkhERCS3+jrv\n",
       "/1bExw0XbQ9cVyGOdw/MSc7xxdck7wTEzSTvBMTVJOf4DSv7BjTqRD3oPu//BynN+w+lef/HAs8R\n",
       "5/6H0rz/GxJbBtYuO+faaVt3s/GvGHzOOb740s+/c+ln39k8f/6ze98lHxo57/9dwDbpnNU6GoqI\n",
       "iEhONXLe/+KQxEeB85uXsoiIiIiIiEgHK/S+S0d7h6VHSOxN7PxYyT+JHSqlvawK/CUtjyL+Tiwi\n",
       "9l0ZC7ztlJc0l/72RX/7soxXm7SvtKYzgZO7betfaUdpefrbl3Id87evpyTWZwix5ng38VPEXhX2\n",
       "GQ3cRuwXMYfSXAu7AXemY/+QziWtp0AcfnQhMA34HvEfxpfL9rkPWDctH0rsJDszHaO/udakv33p\n",
       "iL/9lkjS0YqUOkheDbwJfIrY6XFn4AcVjjmYOH3z5sCHiZ0sRwJfA3ZJx97NsrVOaR1GnJnzIyz9\n",
       "D6H8fYhTen8G2I74+7AEOCSLBKXP9LcvlbT9334W8xS0sjeIP9CigcDZxMmTlhB/OVYnzq9QNB34\n",
       "ddp3MnH8aAA2JX5agDhJ051IK7uSnufEKFAqCGakbSsSp/6W/NPfvlTT1n/7qhTU5xBizX8LYqeT\n",
       "ecDgbvvcTvzHsSexqemHwIvEGRk1/XH7eL1s+W2WbnUr/524GDg9k4ykmfS3L0Vt/bev2wf1GU78\n",
       "ZPAOsBMwpsI+6xJ7qF6UXpsT7z99FNgg7TOEOFOjtIf5xMKC9HU94ieJW4D9gdXSe++hdL9RWov+\n",
       "9qWS+bTZ375aCnrWvYnoMuIzF+4lNgs9UGHfnYBTgLeIvZI/S3xy4uHA74AV0n5fAx5pRtKSifLf\n",
       "jauJP+f7iB2LHkrbHwDOAP6XWAF/CziO6kPbJD/0ty/V6G9fRERERERERERERERERERERERERERE\n",
       "REREREREOp0enSwi9ZhAHIM/nPjwn1tcsxGRhtLkRSJSj+LELWe6ZiEiTaFpjkWkN18jztR2O7Bx\n",
       "2vYbYL+0/A3iw4DmAD8vO25r4gyAM4Hvp/dFJMdUKRCRnmwJHEB8FPDHiQV9dz8GxgIfJD4Nbs+0\n",
       "/TfAkcRnALxNz0+WE5EcUKVARHqyPXAN8CaxL8EfK+yzM/HBP/em5U2BVYChxPngAS5HfZhEck99\n",
       "CkSkJ0b1wtyIj4r9KbFF4SliX4PBLNsqoAqBSAtQS4GI9OQ2YB9iQT8M+GTZewVKz49/gdgy8Om0\n",
       "/jKxZWFsWj+w6ZmKSJ+ppUBEejITuAKYDTxH7FBYZMBLwC+Jj459htLtAoAj0ntLgFuJFQURERHp\n",
       "QEPKlk8FJnolIiIiIr4+Q2xpmANcB6zqm46IiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiDTA\n",
       "/wPCw3E1vZ3WFgAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa75330bfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAgUAAAFRCAYAAADka95xAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmcXFWZ//FPBQIJYQt7AkIDgoiibIIoyFFkUURBRgdE\n",
       "NIPLMDjOjwEFAipxhQEBwVEBESIyZFQWBYXIIg0KAgJh3xIkkI1AkFVggvD8/nhOWbc73dXV3VX1\n",
       "1PJ9v171qrq37j3n6Vtddc4999xzQEREREREREREREREREREREREREREREREREREREREGuBe4D2B\n",
       "+W8IvACUAvKeCvw4IN9meh3YJL/+EfCVwFhERKSNTAN+1uA85gLva3AeUlGsFIh0lTHRAYh0ueVq\n",
       "2MaIaRVoJbUcJxERkaabC+wG7AX8H7AUb86fld9fDfgJsBCYD3yTSgV8CnAjcCqwBPgGflb6+7z8\n",
       "FHBBTgO8FeI14KWcx5eAHvxstpzmZOAy4GlgNvDZQqzTgF8APwWexy99bFd4/+gc4/PAgwzdIjGN\n",
       "SstIOY5PAY/l2I8dRt6TgYuBJ4G/AF/st+9FOa/ngEP6xbEjsIi+laX9gLvy6x2A2/K+TwCnVPmb\n",
       "vkzlszqEvi0F0/HPD2Ai8Jsc71+By4H1C+lsDNyQ/9argR/Q+FYkEREJ9iiVwvN44Px+71+KX4se\n",
       "D6wN3AJ8Pr83BXgV+AJeqI8DNsUrGWOBtYDrgdMGyQ+WrRTcAPw3sALwdrzQem9+bxrwMl6BKQHf\n",
       "Af6U33sT8DiwXl7ekKGbzY9n2UrBWcCKwNuAV3K6Q+U9Brgdv16/PF6gPgLsUdh3KfDhvDxugFjm\n",
       "AO8vLP8SOCq//hNwUH69El6JGMheeKVhy7zdhfStFJyHV9wA1sArHuOAlfEKz6WFtP4EnJT/nnfj\n",
       "FZL+/xsiItJhioX0NPqeDa6LF4zFQuxAvCUAvFLw2BDp7wvcMUh+0LdS8Abg78CEwvvfwQuzcnxX\n",
       "Fd7bEm91AHgjsJhKhaQW01i2UjC58P4twMdryHtHlj0OU4FzC/v2DhHLN/EWGYBVgBfx4wFesZqG\n",
       "V7KqORc/XmWbsWyl4Jv9d8q2xlsMwCtUr9L3c/8ZaimQNqM+BSL1tRFewC4CnsmPM/EWg7J5/fZZ\n",
       "F/hfvPn6ObwgWbPG/CbjBdPfCusep2+z9uLC65fwgmsMfqZ9OF54LgZmAJNqzLfoiX7pr1xD3hvl\n",
       "2J8pPKYC6xS2nz9EvhcCH8VbSD6KtzyUj+1ngM2BB4Bbgb0HSWMSfT+Px6vktxLeKjIX/5yuxy/z\n",
       "lKh8Dq8Utu//OYu0PFUKREbH+i3Pw/sZrIlfg56IFxxbVdnnO3i/gbfmbQ+m73ez//ZFC/Fm7WJB\n",
       "vCFDF6hlM4Bd8ELagP8aYvtqsQzHPLwFZGLhsSrwoUI+Q+X1AN7a8AHgE3gloWxOXrc2/jddhF/O\n",
       "6W8RfrzKNhxgm3IcR+IVjR3wz2lXvEJQyums0S+PgdISaWmqFIiMzhN4M3q5w9sivMn8VLxJewze\n",
       "Z6DauAYr42f6z+Nn+F/u9/7inMZA5gE3ASdQua5/CN5ZcSib45clVsQrMq/glZNq6nUXxK14x8mj\n",
       "8IJ0ObxStP0w87kQb+3YBe9TUPZJKq0zz+EF++sD7P8L/JLOm/GWgOP7vV8u9ME/p5dzemv02/Yx\n",
       "vGPjNLylaCe8glOvSpRIU6hSIDI65YLoabxQAO+NvwJwP96k/EsqnfkGOgP+OrAtXthcjvfIL25z\n",
       "At4h7xngiEI6ZQfiFZOFwCXA16j0YRgov/Lyijntp/DKzFp4E341/dOrVuhVy/s1vNDcGr/z4Cng\n",
       "bLy1YLB9BzIDr3BdS+X6PsCe+N0OL+CdNg/AKz79zQS+hx+vh3M6/f++8vL38ArMErwidmW/bQ/C\n",
       "KwNP4/0Qfo53lhSR7Fz8LOeewrpv4rcN3Yl/Ad9QeG8qfkvVg1R6IYPfxnRPfu/0BsYrIlIvP2fZ\n",
       "lgeRrrYLsA19KwWrFF5/ETgnv94SryiMxc965lBptrsVv44HcAV+G5GISCvZHr/MMwbv5/Ayfouo\n",
       "SNto9OWDP+BNnkUvFF6vjDfFAXwEbwp8Fe/dOwe/bWkSXpG4NW93Pn7Llog0xpX497T/45jIoNrA\n",
       "esB1VC5ZHEplMCWRtrB8UL7fxntYv0ylBWAycHNhm/l4p6tX6duTegF9b7cSkfr6QHQAbeo3+SHS\n",
       "tqI6Gh6H365zHt55R0RERIJFtRSUXYj3EQBvASh2OtwAbyFYkF8X1y8YJL05DH7rloiISKe5C7+L\n",
       "p2300Lej4WaF11+kMgxouaPhClTGQS93NLwF719QonpHw+h7gqcF5y9xpkUHIKGmRQcgYaYF51/X\n",
       "cq/RLQUz8FG/1sIHWTke+CA+YcpreMH/b3nb+/GBRO7Hx3I/jMofexg+W9l4vFIws8Fxj1RPdAAS\n",
       "pic6AAnVEx2AhOmJDkAGF91SMD04f4kzPToACTU9OgAJMz04/+hyr6VFH5wUnL/ESdEBSKgUHYCE\n",
       "ScH5R5d7LU0HR0REukldyz3NfVBfKToACZOiA5BQqQ5p/JXKXAt66NH/UZzbo2Gib0kUERE3kfrN\n",
       "QinNk4DeJuRjTcij4+igiUi70u+XVDPY/0dd/290+UBEREQAVQrqLUUHIGFSdAASKkUHIGFSdAD1\n",
       "pEqBiIiIdCRdkxORdtWqv1/3Au8JyntDfCrqiA6YU4EfB+Q7mKb0Keg0OjjSSs4FFtN37o+TgQfw\n",
       "SUwuAVbL68fhw4LfjQ/1fUxhn17gQWBWfqw1SH5Tgdl52z0K67fLMcwGTh/pHyMN1+q/X9OozFXT\n",
       "KHOB9zU4j3alSsEIRB+cFJy/xEkDrNsF2Ia+lYLdqVy2OzE/AKbglQLwOT4exc+SAK4Dth0i//KE\n",
       "YmPxsdjnUDm7uhXYIb+uNqGYjFyqQxqD/H7Z2WC9hcf0ESRdhzRGXSlYroZtHgV2G0UeEVKd0xvs\n",
       "OKlSMALRBycF5y9x0iDre+hbKSjaD7ggv94TuAz/QVgLeAhYPb93HX62X81U4OjC8kzgncAkvGWi\n",
       "7ADgzCHSkuFLdUhjsEpBL5gVHk+BHTrMpEeTxlxgb+D/gKV4c/6s/N5qwE+AhfhU99+kUumdAtwI\n",
       "nAosAb4BbAL8Pi8/hf//l1vLfoZPlPdSzuNL+Pfn9UKak/HvydN4y9dnC3FOwyfV+ynwPH7Zo/i9\n",
       "OTrH+DzemjZUi8Q0KpWgchyfAh7LsR+b30s15D0ZuBh4EvgLPkNwMZ+Lcl7PAYcMEo8qBSOggyOt\n",
       "pofBKwWXA58oLF+A/2i8SN8fu+vwH5lZwFcGSev7wEGF5XOA/fEfpqsL63fJ+UrrqbVSUK/H1QPn\n",
       "t4zy2fvxwPn93rsU+BHeurU2Ps395/N7U4BXgS/ghfo4YNOc1li88ns9cFq/vIqFdQ99KwU3AP8N\n",
       "rAC8Hf++vDe/Nw14GW8JKwHfAf6U33sT8DiwXl7eEK+gVHM8y1YKzgJWBN4GvJLTHSrvMcDt+Hd3\n",
       "eWBjfIbgPQr7LgU+nJfHDRKPxikQ6WDH4T8EF+blT+I/rJPwH40v5Wfwwv6teIG+C3BwUyOVVrME\n",
       "+DcolWp/cP0AaVw8gryLHf7WBT4A/CdeID4FfA9vjSpbCPwAL1BfwQvDa/HKwhK8QrBrjXm/AXgX\n",
       "fsa/FO+Xcw5+9l72B7yVzPBK9tvz+tfwwvwteIXkcfyMvda/tezreIvJ3Tn/txfeGyzvd+AVoG8B\n",
       "f8crPufQ9zjdhLeAgB+nMKoU1FeKDkDCpGFsOwX4IH3P7N+Fn3W9hv+43ghsn99bmJ9fxCsRO7Cs\n",
       "BfiPZtkGeFPpgvy6uH7BMGKV2qQGpj0XL0DJz1dDabiXgOqRRn8b4QXsIuCZ/DgTbzEom9dvn3WB\n",
       "/8X/N5/Dz8TXrDG/yfj4/38rrHscWL+wvLjw+iX8rHsM3sfmcPysfDHef2dSjfkWPdEv/ZWpfPaD\n",
       "5b1Rjv2ZwmMqsE5h+/kjiKUhVCkQaa69gC8DH6HvGUHxGucEvD/AA1T6GID/AO/DwJcjLsPPPFbA\n",
       "Wxg2wzsYPoFf49wRP/M5GPhV3f4aaYLSFOCrwDX+XPpE9e0blcYyzdTz8LPmNfF5Gybi/QO2qrLP\n",
       "d/CK71vztgfTtxyq1hS+EFgDL4jLNqT2AnUG3tK2Uc7nv4bYvl7N8vPw1oGJhceqwIcK+bTMpW9V\n",
       "CuqrNzoACdM7wLoZeLPgm/AfhkPwa/8r49f5ZwE/zNuehRfo9+CF+bl4P4JxeJPkXXn7eVTund4H\n",
       "b84Ev43xF/n5SuAwKj80h+HNlbPxM6aZo/tTZQC9jU2+dCaUdh/d2f2o01iMX1svN6svAq7COxKu\n",
       "gpcnm1J9TIOV8TP95/Ez/C8PkMemg+w7D/8+nUDluv4hVDrrVrM5XuleEa/IvIJXTqqpdWyE3iHe\n",
       "vxXvOHkUfolwObxSVG4J1CRYDdQytS0RkWFq1d+vcue/NfDr5n8FbsvvrYpXbOcBzwJ3AB/P730a\n",
       "7xhYtGXe94W87RH4JYCyD+O9+5/J7/XghXf5BHZ9vKPs03gF9/OFfft3hCzuuxXeCfL5vO9lVDod\n",
       "DqaYXv84wDsAHzLAtgNtPwm/9LcIP343UWkZHKgD50B098EIRB+cFJy/xEnRAUioVIc0on+/ZGRS\n",
       "k/LR3QciIiLSPJ12LcPovL9JWpqdjV+vLJubO3WJDJd+v5rvSmDnAdZ/m8poo61isP8P/d9UoeY3\n",
       "abJ6jDYnAuj3S6rT5YM2lKIDkCi95Rdr4SMJSndJ0QFImBQdQD2pUiAyOmv0W36JkY0UJyISbvno\n",
       "ADpMb3QA0kw2Fh885XlIq+K3Oi0HbAJWgpKag7tHbx3SeAZdQpDBPRMdQDvSF0qayL4I9jvvQ2BX\n",
       "5+c1wf4M9gMwtcSJSKO1Vbl3Lj5CVXFY1pPx4VvvAi6hMm3mOHwEuLvxUdmOKeyzXU5jNnB6lfyi\n",
       "D04Kzl+axiaCLQZ7a16RCu+tBvZHsPPAaplDXtpfig5AwqTg/Nuqo+F5+FjvRVfhM1W9HXgYnxgC\n",
       "KjNGvQ2vBPwr3jQLPjXnZ/Dx3DcbIE2RZvsacAmU7l32rdJzwJ745EP/ky8ziIgI1eeT34/KuNV7\n",
       "4kNPlieAeQhYHR8e8oHCPgfgM3ENJLqlQLqCbZ5vPVx7iO3GgV0Odpm/FhGpu7ZqKRjKIcAV+fXv\n",
       "8HGpF+HTfJ6Mj6W9Pn1nwVpA36kyRZrtu8BJUHqq+malV/DbE18BLgNbqfGhiYiMXGSl4DhgKT5J\n",
       "BMAn8RmkJuFTv34pP7eTFB2ANJrthl/+OqPfG2ng7UtLgU/gld2ZYKs2MDiJk6IDkDApOoB6irol\n",
       "cQrwQWC3wrp3AZfiM0s9BdyI9y34I35ttmwDvLVgMNPxlgbwloY7qdwulPJzo5a3bnD6Wg5dHvc+\n",
       "uOIs+OBRUPq/2vcv9YL9C/zsUph4C9i7ofTX+L9Hy1rWch2WGeL9RuSX8EvzbamHvn0K9gLuw/sN\n",
       "FP0HfrcCwIS8Tbln9y3Ajvj4zlcweEdD9SmQBrLPgV3vYxCMaP8S2HfB7gJbp76xiUiXaqtybwaw\n",
       "EL9MMA/vQzAbny97Vn78MG+7It7p8B68QnBkIZ3yLYlzWLbZtqitDo60E1sVbBHYtqNMpwT2dbAH\n",
       "wdQ3RkRGS+VeFdEHJwXnLw1jJ/i4A4NKw0zvKLBHwNqt34wMLEUHIGFScP51Lfc0zLHIkGxj4HP4\n",
       "GBp1UjoJ7CXgerD3Q+nh+qUtIiIQ31IgHcl+AfbVBqV9CNhCsK0ak76IdDiVe1Xo4Eid2c5gjzd2\n",
       "jAE7AOwJsO0bl4eIdCiVe1VEH5wUnL/UlY3Jkxt9ooaN0yjz+gjYk367orShFB2AhEnB+XfUiIYi\n",
       "rewgfNyMGY3PqvRr4GDgV3mAJBERGaXolgLpGDYBbB7YTk3O9z25xWDv5uYrIm1K5V4VOjhSJ3Y8\n",
       "WBNaCAbMe8c8LfM/xeQvIm1E5V4V0QcnBecvdWEbgD0NttEwdkp1jmHrPFjSp+qbrjRIig5AwqTg\n",
       "/DVOgUiDfQc4E0qPxYVQuhPsfcDVYOOhdFZcLCIi7Sm6pUDanr0jjxuwSnQkzjYFexTsP6MjEZGW\n",
       "pHKvCh0cGQUrgf3RBxRqJbYh2MNgXxn5ZEwi0qFU7lURfXBScP4yKvYxsFlgy41g51TvaPqy9cDu\n",
       "zXMwqGLQelJ0ABImBeevPgUi9WfjgJOAf4HSa9HRLKv0BFgCfgdMADscSq8HByUi0tKiWwqkbdkx\n",
       "YJdGRzE0Wx3sJrBzRtiiISKdReVeFTo4MgK2LtgSsDdGR1IbWxns92AXgo2NjkZEQqncqyL64KTg\n",
       "/GVE7GywU0aZSKpHJLWz8WC/9dYNW7G5ecsAUnQAEiYF56+5D0Tqx94GfAT4ZnQkw1N6GdgPn5vh\n",
       "142dxVFEpD1FtxRIW7ES2DVgh0VHMnK2PNjPwHpbZ2wFEWkilXtV6ODIMNg+YPd5wdrObAzYWWA3\n",
       "g02MjkZEmkrlXhXRBycF5y81sxXAHgLbq04JpjqlM0JWAjstj7OwdmwsXSlFByBhUnD+6lMgUgeH\n",
       "AX+B0szoQOqjZMARwG+BXrDJsfGIiMSLbimQtmBrgj0JtmV0JI1hU8HmDHOWRxFpTyr3qtDBkRrY\n",
       "GWA/iI6isez/gc0F2yw6EhFpKJV7VUQfnBScvwzJtgB7CmytOiec6pxeHdhnweaDvSU6ki6QogOQ\n",
       "MCk4f819IDIK3wVOgNKS6EAar3QO2MvANWB7Q+mO6IhERJopuqVAWprtATbb7zzoJrYf2GKwnaIj\n",
       "EZG6a6ty71xgMXBPYd3JwAPAXcAlwGqF994G/Am4F7gbKP94b5fTmA2cXiW/tjo40ky2fJ56eN/o\n",
       "SGLYB3LnyhQdiYjUVVuVe7sA29C3UrA7lVshT8wP8EsZdwFb5eWJhe1uBXbIr68ABru3PPrgpOD8\n",
       "ZVB2KNh1fj9/Q6QGpVtHlnLFoF5jM0hFig5AwqTg/KPLvWHroW+loGg/4IL8+oPAzwbYZhLeslB2\n",
       "AHDmIOlFH5wUnL8MyFYDewJs6wZmkhqYdh3ZTvlSwn7RkXSYFB2AhEnB+UeXe8PWw+CVgsuBT+TX\n",
       "hwPnAzOB24Ev5/XbA1cX9tkl7zeQtjs40gx2EthPoqNoHbYt2CKwTwy9rYi0uI65++A4YClwYSGW\n",
       "nfFKwMvAtXjl4LmQ6KRD2CbAIVQuSwmlO8DeD/zOZ1csnRMdkYi0hqhKwRT8csFuhXXzgBuAv+bl\n",
       "K4Bt8csLGxS22wBYUCXt6cDc/PpZ4E6gNy+n/Nyo5cObnJ+Wh1z+5dfhY6dCaVGD8yu/blT6dV4u\n",
       "3Qf7HA1fOAVsApROb6342m65/LpV4tFy85bL65qZX8Jb4dtSD30vH+wF3Af0HzxmdbxlYDxeWbka\n",
       "+EB+7xZgR6CEOhpKzew9eVS/8U3ILDUhjwawjfKQyFOjI2lzKToACZOC848u94ZlBrAQv0wwD2/G\n",
       "nQ08BszKjx8Wtj8Ivx3xHip3JUDllsQ5wBlV8murgyONZGPAbgc7IDqS1meTwe4H+1YD784QkcZQ\n",
       "uVeFDo5kNgXsJhVytbK187TLp+mYibQVlXtVRB+cFJy/AGArgy0A27GJmaYm5tUgNhHsZrCzvKVF\n",
       "hiFFByBhUnD+dS339MWXTnQUcB2UbokOpL2UnsEHF3sT8FMfBVJEpH1FtxRIOHsD2BJ/lpGxlcBm\n",
       "gl3UffNEiLQdlXtV6OB0PbsA7BvRUbQ/WxHsUrDfNunuDREZGZV7VUQfnBScf5ezHcHme5+CpksB\n",
       "eTaYjQW7EOz3Qce0naToACRMCs5ffQpElmUl4DTgK1B6MTqazlB6FTgY+As++uHqwQGJiAxLdEuB\n",
       "hLED8rgEqujWnY0BOyMf3/6DjolILJV7VejgdCUbn0cufE90JJ3LSmAngN0Ltl50NCLyDyr3qog+\n",
       "OCk4/y5lx3pP+VApOP8msBLYV8Ae1t0dy0jRAUiYFJx/x8ySKFIHth5wBLBDdCSdr2TAt8D+Btzg\n",
       "My2WHomOSkRkMNEtBdJ0dg7YSdFRdB/7V7B5YG+OjkSky6ncq0IHp6vYNmBPgK0WHUl3soPBFoFt\n",
       "HR2JSBdTuVdF9MFJwfl3ESuBXQd2aHQkWYoOIIb9E9jiJs8z0YpSdAASJgXnrz4FIsBHgLWBc6ID\n",
       "6W6li8BeBi73CkLphuiIRETKolsKpClsBbDZYHtERyJlthvYU2B7Rkci0mVU7lWhg9MV7Aiw30RH\n",
       "If3Zu8GeBPtIdCQiXUTlXhXRBycF598FbK18RrpFdCT9pOgAWoNtnzt/HhAdSZOl6AAkTArOX30K\n",
       "pKt9HZgBpQejA5GBlG4D2x2Y6VMwl86NjkhEuld0S4E0lG2Zm6fXjI5EhmKbgz0O9u/RkYh0OJV7\n",
       "VejgdDS7Euzw6CikVtYD9gjYUdGRiHQwlXtVRB+cFJx/B7O98pj7K0RHMogUHUBrsvXBHgD7ep7e\n",
       "ulOl6AAkTArOv67lnqaZlTZgywOnAEdCaWl0NDIcpQXArsC+wMkdXjEQkRYT3VIgDWGHgV2jAqWd\n",
       "2Rpgt4L9CEwnIyL1o3KvCh2cjmMT8zC6b4uOREbLVgW7AeynufVHREZP5V4V0QcnBeffgewUsLOj\n",
       "o6hBig6gPdgEsKvAftHC/UNGIkUHIGFScP7qUyDdwjYDPg18NToSqZfS34APA+OAi8HGBQckIk10\n",
       "LrAYuKew7mTgAeAu4BKg/7S3GwIvAkcW1m2X05gNnF4lv+iWAqkruxTsmOgopBFsLNj/gl3trQci\n",
       "MkJNL/fGAB8f4b67ANvQt1KwO5UWihPzo+gi4Of0rRTcCuyQX18B7DVIfqoUdAx7L9ijOpPsZLYc\n",
       "2HlgfwTrf3IgIrVp+uWD14GjR5j+H4Bn+q27OqcJcAuwQeG9fYG/APcX1k0CVsErBgDn5+1aUYoO\n",
       "oDPYcsCpwFFQeiU6mhql6ADaT+k14DN4q+E1fodC20rRAUiYFB1APdXap+Bq4EvAG4A1Co/ROgQ/\n",
       "8wdYGTgKmNZvm/WB+YXlBXmddK5P45eQLooORBqt9Drw78B1QC/YurHxiHS3Wm8LOgBvovhCv/Ub\n",
       "jyLv44ClwIV5eRpwGvASMJr70acDc/PrZ4E7gd68nPJzo5bL65qVXwcubzwe+BbwESjtGh9Pzcu9\n",
       "LRZPGy2XesGOhrPWho3+DPYuKM1vnfj0+Wu5pZbLr3toUz307VMAMAW4Ee+BXHYD8Gh+PAM8DRwG\n",
       "rId3TCw7EDhzkLzUp6Dt2bfBzo+OQqLYl8D+ArZJdCQibSKk3JuA3xb247y8GfChGvftoW+lYC/g\n",
       "PmCtKvscDxxRWL4F2BFvQWjljoYpOP82ZxuBPQ22wdDbtpwUHUDnsMPA5oFtER3JMKToACRMCs4/\n",
       "ZJyC8/Cm/nfl5YXAt2vYbwZwE/AmYB7eh+D7eP+Bq4FZwA9rSOcw4Bz8lsQ5wMwa45b2ciLw/dx0\n",
       "LF2r9EP8JOT3GslSpDXdnp9nFdbdFRHIEKJbCmTEbKd8dqh71iWzf85DXL8jOhKRFhZS7t0EjKdS\n",
       "KdiUyi2CrUSVgrZkY8BuBjs4OhJpNbYP2JNgO0dHIjIMwxm4bwe8bJ0F3A38c2GfWgbuM2Bq3uZB\n",
       "YI9h7j8iewDXA0/hdws8Bry3nhnUSXSlIAXn36bsILA/t/nseSk6gM5lu4M9Bfb+6EiqSNEBSJg0\n",
       "wLrhDNw3vrB+PWAJsFxermXgPsPvshuL9+GbQ+UOvloH/huRtfDOhR+ieifBSKoUtB1bCezxDjgT\n",
       "TNEBdDbbJbcY7BMdySBSdAASJg2yvodl77wr2w+4YID1GwOP5NeT6Hvn3QEMfOed0XeAwZnAO4ex\n",
       "fx/DOTNbEb9V8AVgS+A9w9i3W/RGB9CGjgRuhtIfowMZpd7oADpb6Q/4Cck5YCMddr2ReqMDkDC9\n",
       "I9jnECoD94Gfzd+XH+U774YzcN/8fq/XByYPY/9/qHXwov/Cr3PcD7xWWH9DjfuLDMAmA4cD20dH\n",
       "Iu2gdKtfSmAm2Hgo/TQ6IpER6D9wH3gz/1uALfAz/d7mhzU8D+MtBa1Olw/aip0H1n9CrHaVogPo\n",
       "HrZFvlPl36IjKUjRAUiYNMj6HmobuK+/a/EOgrUO3GdAcTbZmfi4PsMZ+G/YrsQnJWp1qhS0DdsW\n",
       "bBHYqtGR1EmKDqC72CZ5Fs0jh962KVJ0ABImDbK+h9oG7uuh0mq/EfA4UP5drGXgvnJHwxWo9Eko\n",
       "DWP/EbkkZ3Q2PvjQ94Ez6pV4HUVXCqQmVgK7Huxz0ZFIO7M3gD0E9jX/nxJpGTPwQf6WUhm4bzZ+\n",
       "51759sPywH2fBO7N626lb8FdvqVwDn3L3H2Ar+fXBhybt3kQ2LOG/QdV6xdpygDrDGi1a3rG6CZT\n",
       "kqaw/YGvAdvm6XNFRsjWBa7Bz4KOgZJODKTbqNyrIvoHIQXn3wZsRbBHwHaLjqTOUnQA3cvWBLsN\n",
       "7L8Dx7pIQflKvBScf8jcBzvjcxXMpjKT4V/qGYh0jf8A7oPStdGBSKcoPQ3sBmyN37K43BA7iMgo\n",
       "PQR8AFgX7yRRfrSa6JYCqcrWAVsCtnl0JNKJbALYNWD/CzY2OhrpdHY2WG/hMT0qkIhMb4nIdARU\n",
       "KWhp9iOw70VHIZ3MxoH9BuzX/lqkEWwdsLvBrPB4CuzQiGAC8uREfDKHnYBtC49WE10pSMH5tzB7\n",
       "a57xbo3oSBokRQcgZbYC2C/BrvJhtJsiNSkfaTqb6PNu2FSwi/Ow7H/ND4PrihWDqyMCrGditY5o\n",
       "+M6ccf+R51pxUiRpOVYCTgW+BaW/Rkcjna60FOxAfKa6mWAfgtLz0VFJO7CV8RPe7YF35Od18dsF\n",
       "/wz8EjgK71N3HbBrYeclwMXNjFaGFt1SIAOyvcEe0HVeaS4bky9Z3dLBLVQyYjYObEewf/f+AHYf\n",
       "2N/A/gT2fbBPgW05eMdVm54vGZQvHVw48HYNV9dyb6h7Gw8GfoZPWlPMuJSXT61nMHWg+zVbjo3F\n",
       "B884Ekq/jY5Guo2VgO/idyfsAaUngwOSEDYWeCt9WwC2wAf7+TNwW36+D0qvDiPdQ4H9gYuhVLch\n",
       "hIepruXAQFozAAAcHUlEQVTeUJcPytfjVkFn4bVItMFEFk12KD5s5xVDbdjmEvrsW1DJwL6Ej/52\n",
       "vV8bLi1oQEYJff4twpYD3kSl8H8HsBV+K3258P8JcBeUXhldXqUz8YpF7+jS6TxTowPIoisuKTj/\n",
       "FmMTwZ70ToYdL0UHIEOxo/PAWT0NSDw1IE0ZkpXA3gh2ANgpefj058Fme3O+HQG2S+4r0CipgWnX\n",
       "IrrcG9Cs6ACyljw43ctO82u6Iq3Cvph7j2usjLZjJXy+i4+Cfcd7+ttfwR7LdwUck+8SmBgdaZO1\n",
       "ZLmnSoH0Y5vnzjdrR0ci0pcdAragS1qw2pitmzspT8tjTywGewLscrDjwT7o23S9liz3VClwKTj/\n",
       "FmKXgX05OoomStEByHDYgbmA2a5OCaY6pdOlbCLY7nksgEsKYwFcBfZtsP3ANqA1Z8NMwfmHjFMg\n",
       "Mgy2G/AW4GPRkYgMrDQD7GXgSi9wSjdGR9Q9bBVgG/p2BFwHuAPvCPhz4MvAXzTrZfs6NjqATP9A\n",
       "4Ww5sLvw6ZFFWpztmS9zvS86ks5k48DemccC+Gm/sQDOyGMBvHnwsQCkBiHl3snAqsBY4Fp85KaD\n",
       "IwIZgioF4exzuQdwKzbziQzAds13yewdHUl7s7Fg24B9Hp8saBbYS2B3gJ0F9lmwrdEgZvUWUu7d\n",
       "lZ/3w+/vXA24OyKQIURXClJw/sFsVbBFdbxO205SdAAyGvbO3JFtpC1cqZ7RtD5bDuwtYJ8G+2+w\n",
       "m3MLwL1g54F9AWwHumNSqhScf0i5d19+/gk+hTJUKgrVnAssxke0KzsZeCDvfwlewQDYHb+edHd+\n",
       "Ls6rsF1OYzZwepX8VCkIZSf4D0JXStEByGjZ1rlSO5JW0DTAuuH8/q2Bj6X/AvD9fun04gPkzMqP\n",
       "waatn4r/Rj4I7FFYX+vv5yD+MRbAgfhYADeAvQD2MD4WwH/S+LEAWlkKzj9slsQHgTuBFfBOIbVM\n",
       "p7wL3qGk+KXYHRhTSPfE/HprYL38+i3A/MI+twI75NdXAHsNkl90paCL2cZgT4NNjo5EZORsS7D5\n",
       "3gQ+asP5/VsJeDfwryxbKbiOoWel3RL/fR4L9ABzqAx9W+vvJ7kCsCE+FsAJ+FgAz+BjAVyEjwWw\n",
       "G903FkArCyv31gTKnUEmUCnAh9JD3y9F0X7ABQOsLwFP4//gk/CaddkBwGBjTKtSEMZ+AfbV6ChE\n",
       "Rs/eCDbXz4BHrYfh/f5NYeBKwVCX5KYCRxeWZ+Kz2w7x+2nrgn0IHwvgtww8FsA6Q+QtscJuSdwC\n",
       "2AgvqMuBnD/K/A8BZgywfn/gduBVYH36thosyOtaUaIrx8C2nfEfoCnBgURKdOVn34lKc8DeA1wL\n",
       "thKUvl3DTonhf/4D/f4N9gP/U/z38GLgWwO8Pxm4ubA8H/+dfJV//H7aGnD0JPjtrnDvJfitgBOo\n",
       "zAdwDt5SsUC3Ag5LooO++7VWCi4ANsGbp14rrB9NpeA4YCnQf7rJt+BNaruPMN3pwNz8+lk85t68\n",
       "nPJzo5a3bnD6Lbg8tgScBEyF0g5Db69lLbfDculx2Olo+OopYBOA46C06wjSK7aoFt8/Dr+ja2G/\n",
       "97cYYPuD8nYfwCd2egyfvbZ/fm/mHwXUuLHwlr1hu1Xgz1vBHXPg2kkwfiGMHQP8HPa+CGYuhNeL\n",
       "8b6RyklYLX+fliuamV/CW6HCPMDIp2bsYdnmsynAjUD/nqkbAA8BOxXW9W/+OhBdPmghdjA+X/2Y\n",
       "obcVaTe2Vr6l7vQR/o/3UPvvH8CnWfbywRDv23jY9gfw0V/nsQDuh93/DtfcAw+cA6svzGMBjKH6\n",
       "76e0p5By75d489RI9ND3S7EXfjdD/x60q+M9cvcdII1bgB3xiok6GrYMmwA2D2ynobcVaVe2OthN\n",
       "YD8ewSA7PdT2+1c2hb6F/nKFbcfCmIvhXd/KYwH8uDIWwG33wYZL4Nl/hVM/CDxC5USu1t9PaU8h\n",
       "5V4v3hR/FXB5flxWw34z8GavpcA8/BrabLz5q3x7zQ/ztl8BXiysL956U76lZg5wRpX8oisFKTj/\n",
       "JrNpYAP1CelGKToAaSRbGez3YP8zyOA7aYB1w/n9A7/s+TR+W+I8WG1LuH07WOdReMMS2PQl+OKr\n",
       "8FoeC+CrP4K3/LgwFsCx+G/kg8CehXRr/f2UkUnB+de13Kv1kkDql3kpv76+nsHUgTHyyxz1kOig\n",
       "DifV2QZ4y862UHosOpoWkOiaz75b2Xi8o98rwIFQ+r/Cm4lRff5Wwq/nl+cC2B6/nXERlY6AtwGz\n",
       "oPTiyPORBkjEfvfrWu4NJ6H18H9Ww+97fbJeQdRRdKWgi9j5wDwoHRcdiUjz2Ip45+iVgP2h9NII\n",
       "0igBb6DvhEDbAc9TKfz/DNwBpWfqErZ0spBy7+N4k9f5+TGX1pwBL/ryQZewd4AtxGc7E+kytjzY\n",
       "BWDX1fYdsPXyWABfz2MBPFkYC+BrGgtARimk3LsbH8WwbG0098FAUnD+TWAlsD+CfSY6khaTogOQ\n",
       "ZrLl8El/Fvv34Vd3gvV6HxvbA+xYsEtzR9ynwX4H9m2wff3SmyYM6yApOP+Qcu8e+jZPjGHwUboi\n",
       "qVLQcPax3ONZU532laIDkGazEj4kssF15s/2OthDYCeD/TPYJqoAdLwUnH/Y1MlX4bfL/As+hOZJ\n",
       "EYEMIbpS0OFsHNijYO8deluRbmC9uTJQfFwdHZV0lZBhjo8CPgrsnAM4C7i0noFIWzgcuBNK10UH\n",
       "ItKiluB3KIhIC4huKUjB+TeQrQu2BOyN0ZG0qBQdgESw6WBP5csHT4H1H7ZdOl8Kzr+p5d6N+flF\n",
       "fECN4uP5ZgZSI1UKGsbOBjslOooWlqIDkCh2KFx6mz9LF0rB+UeXey1NB6ch7G25l/Xq0ZGIiEgf\n",
       "IeXez2pcF02VgrqzEtg1YF+IjkRERJYRUu7N6re8PHB/RCBDiK4UpOD8G8D2AbvfB2yRKlJ0ABIq\n",
       "RQcgYVJw/nUt94aaCvRYvP/AVvTtT/AktU2IJG3NVgBOAY6A0t+joxERkdZwYnQANYpuKegwdjjY\n",
       "ldFRiIjIoEJmSQSYCGwGjCusu6GewdSBJkSqG1sTeABIUGrFS0UiIhJU7n0OH9b4WeA64GXg980O\n",
       "ogbRLQUpOP86sjPAfhAdRRtJ0QFIqBQdgIRJwfmHlHv3AuOBO/PyFrTmiIaqFNSFbZEHYlkrOpI2\n",
       "kqIDkFApOgAJk4LzDyn3bsvPd1K5fNCKTcrRlYIOYb8BOzI6ChERGVLI3Afz8T4FvwKuBp4B5tYz\n",
       "EGkVtgfwJnyuCxERkaoS8GFgheA4BhLdUpCC8x8lWx7sXp/zXYYpRQcgoVJ0ABImBeff9JaC5fE+\n",
       "BVvk5d56BiAt5bPAU8CvowMREZHW9Wtgo+ggahDdUtDGbDWwJ8C2jo5ERERqFtKnYA3gPuBW4G+F\n",
       "QD5cz2Ak1HHAb6F055BbiohIV0sDPHaNCqaK6JaCFJz/CNkmYEvAJkVH0sZSdAASKkUHIGFScP4h\n",
       "LQW9QA/wRuAaYKVh7Cut7yTgNCgtig5ERERa3+eBPwOP5OXNgWvjwhlUdEtBG7JdweaCjY+ORERE\n",
       "hi2k3LsLWJG+UyjfExHIEFQpGBYbA3Y72AHRkYiIyIg0derksv/Lj7LlawzkXGAxfSsQJ+MT7dwF\n",
       "XAKsVnhvKjAbeBDYo7B+u5zGbOD0GmOOkKIDGKZP4Z/rz6MD6QApOgAJlaIDkDApOoAIJ+O90x8C\n",
       "dsfnPfh2DfvtAmxD30rB7lQqIydSmZZ5S3wY5bF4/4U5VGZ+uhXYIb++AthrkPyiWwpScP7DYCuD\n",
       "LQDbMTqSDpGiA5BQKToACZOC8w8p98bg/Qouyo/PUftUjT0MfqlhP+CC/HoqcHThvZnAO4FJeMtC\n",
       "2QHAmYOkF10paCP2DbD/iY5CRERGJeTugy/izfZnF9b9P0bflH8IMCO/ngzcXHhvPrA+8Gp+XbYg\n",
       "r5cRszcAX8BbcURERIDaKwVTWLYC8C8DrBuO44ClwIWjSGMg06lM1vQsfkmiNy+n/Nyo5cObnN9I\n",
       "lz8L/ABKmwCbtEA8nbBcft0q8WhZn7+Wm7NcXtfM/BLeCt90BwKX44Xr5YVHL7XfktjDspcPpgA3\n",
       "UpmGGeCY/CibCewIrEffywcH0rqXD1Jw/jWwHcHme58CqaMUHYCEStEBSJgUnH9Ty72N8D/4ZnwE\n",
       "w5Qf21F7K0MPfSsFe+FDJq/Vb7tyR8MVgI3xMRHK/RZuwSsIJVq7o2GLsxLYTWBToiMREZG6aKty\n",
       "bwawEL9MMA/vQzAbeAwf82AW8MPC9sfidx08COxZWF++JXEOcEaV/Nrq4DSfHZDHJRgz9LYiItIG\n",
       "mlru3ZifXwRe6Pd4vpmB1Ci6UpCC86/CxueRC98THUmHStEBSKgUHYCEScH5N/Xug3fnZ11/bn//\n",
       "CdwOpRuiAxEREWmG6JaCFmWT8iyIm0ZHIiIidaVyrwodnAHZT8BOio5CRETqTuVeFdEHJwXnPwDb\n",
       "BuwJsNWG3lZGIUUHIKFSdAASJgXnHzIhkrQlKwGnAtOg9FxwMCIiIk0V3VLQYmxfsHvBah1TQkRE\n",
       "2ovKvSp0cP7BVgCbDbbH0NuKiEibUrlXRfTBScH5F9gRYL+NjqKLpOgAJFSKDkDCpOD8Q2ZJlLZi\n",
       "a+NTUWugIhER6VrRLQUtwn4AVm04aBER6Qwq96rQwcG2BHsSbM3oSEREpOFU7lURfXBScP6AXQl2\n",
       "eHQUXShFByChUnQAEiYF569xCmQwthewKX1nnhQREelK0S0FgWx5sPvAPhwdiYiINE0Xl3tD6+KD\n",
       "Y4eBXZtHMRQRke7QxeXe0KIPTorJ1iaCLQZ7W0z+Qvx1RYmVogOQMCk4f/UpkGV8Bfg1lO6ODkRE\n",
       "RKRVRLcUBLDNwJaArRsdiYiINF0Xlnu168KDY5eCHRMdhYiIhOjCcq920QcnNTc7ey/Yo2Djmpuv\n",
       "DCBFByChUnQAEiYF568+BQJgywGnAkdD6ZXoaERERFpNdEtBE9lnwP6oWxBFRLpaF5V7w9clB8dW\n",
       "AVsI9o7oSEREJFSXlHsjE31wUnOysW+Dnd+cvKRGKToACZWiA5AwKTj/upZ7y9czMWkG2wg4FHh7\n",
       "dCQiIiLDcS6wGLinsO5jwH3Aa8C2hfXjgBnA3cD9QPE2u+1yGrOB06vkF91S0AQ2A2xadBQiItIS\n",
       "2qrc2wXYhr6Vgi2AzYHr6FspmIJXCgDGA48CG+blW4Ed8usrgL0Gya+tDs7w2U5g88EmREciIiIt\n",
       "oa1uSfwD8Ey/dQ8CDw+w7SJgArBcfl4KPA9MAlbBKwYA5wP7NiLYOkiNS9rGAKcBx0Lpb43LR0Yo\n",
       "RQcgoVJ0ABImRQdQT600TsHv8ErAImAucDLwLLA+ML+w3YK8rtsciFeYLogOREREOlMrdTT8JH7Z\n",
       "YBKwBt7KcG1oRMPX25hkbSXgBOATUHq9MXnIKPVGByCheqMDkDC90QHUUytVCt4FXIp3QHwKuBHv\n",
       "YPhHYIPCdhvgrQWDmY63NIC3NNxJ5UNL+bndlncBbobS8nlddDxa1rKWtazlmOXy6x7aVA99OxqW\n",
       "XYcX+mX/gd+tAN6n4D7grXn5FmBHoERrdzRM9U/SJoM9DbZx/dOWOkrRAUioFB2AhEnB+UeXe8My\n",
       "A1iIdxqcBxyCdxKcB7wMPAFcmbddEb9efg9eITiykE75lsQ5wBlV8os+OKn+Sdp5YCfWP12psxQd\n",
       "gIRK0QFImBScf3S519I67ODYdmCLwFaNjkRERFpSh5V79dVBB8dKYDeAfT46EhERaVkdVO7VX/TB\n",
       "SfVLyvYHuytPkSytL0UHIKFSdAASJgXnr7kPOp+tCJwEfB5Kr0VHIyIi0o6iWwrqxL4Mdll0FCIi\n",
       "0vI6pNxrjA44OLYO2BKwzaMjERGRltcB5V7jRB+cNPok7Edg3xt9OtJkKToACZWiA5AwKTh/9Sno\n",
       "XPZWYH98JkkREREZheiWglGwEthVYP8RHYmIiLSNNi73Gq+ND47tDfYg2NjoSEREpG20cbnXeNEH\n",
       "J41sNxubKwR71zUaaaYUHYCEStEBSJgUnH9dy70x9UxMRuxQ4HF8sicRERGpg+iWghGwiWBP5k6G\n",
       "IiIiw9GG5V7ztOHBsdPAzoyOQkRE2lIblnvNE31w0vA2tzflgYrWaUg00kwpOgAJlaIDkDApOH/1\n",
       "KeggJwP/BaUnowMRERHpNNEtBcNgu4E9kic/EhERGYk2Kvear00Oji2Xp0XePzoSERFpa21S7sWI\n",
       "Pjipts3sc2DX+yiG0iFSdAASKkUHIGFScP6a+6C92arAN4APQSm6EiMiItKx2qCQtRPBpkdHISIi\n",
       "HaENyr04LX5wbGOwp8EmR0ciIiIdocXLvVjRBydVf9t+AfbVpkQizZaiA5BQKToACZOC81efgvZk\n",
       "OwPvBKYEByIiItIVolsKBmFjwP4MdlB0JCIi0lFatNxrDS16cOxgsFu8ciAiIlI3LVrutYbog5OW\n",
       "XbXC+bDWazDhkcLKjwH3Aa8B2xbW9wAvA7Py44fFhICzgYeAB4CPDhLDVGA28CCwR2H9dsA9+b3T\n",
       "a/tzZBhSdAASKkUHIGFScP7R5d6wnAssxgujssEKRIC3AX8C7gXuxgtCqL1Aiz44adlV55wLV8+k\n",
       "7zHYAtgcuI5lKwXF7Yq+jo9vULbmANtsCdwJjM1pzQHKAyTdCuyQX18B7DVIPjIyKToACZWiA5Aw\n",
       "KTj/6HJvWHYBtqG2AnF54C5gq7w8kcqETbUWaC12cGwDvwXxS+9m4MJ+OJWCx4HxQ2Q4FTi6sDwT\n",
       "79w4CW9dKDsA0HTNIiLtr61mSfwD8Ey/dQ8CDw+w7R5460C5UHwGeB0v0FbBKwYA5wP71j3SxvgO\n",
       "cCZ8d8Ew9tkYv3TQC+yc162en78F3A78AhhouuXJwPzC8nxg/QHWL8jrRURE/qGVOr5thtd4ZuIF\n",
       "35fz+vVpnwItVV7aO4D3AycOY/+FwBvw1pUjgAuBlfFWlA2AG/FLKX8CvluHeKV+UnQAEipFByBh\n",
       "UnQA9dRK4xSMxc+Mt8c7212LVw6eiwxqZKwEnAZ8FUovMPD1/4EszQ+AO4BH8Ests4CXgEvyexcB\n",
       "nxlg/wV4paJsA7xCtSC/Lq4fTuuFiIh0gVaqFMwDbgD+mpevwK+3X8DwCrTpwNz8+lm8411vXk75\n",
       "uVHL5XVrAxNg/KN5ee4g26+OV4LuyMsfAV4Afg9sArwVb/q/A7gcODz/PT14Z83+6S0Cvgqcirem\n",
       "bIX3Q3gCeB74N7xvwcHAGXX4e7VcWe5tsXi0rM9fy525XH7dQ5vqYfBOdtsVllfHWwbG45WVq4EP\n",
       "5PduAXbEe9K3eEdDGwf2KNh784oZ+GWBpXjF5xC8T8Q8vEXkCeDKvO3++J0Xs/BjsXch4Q2B6/HO\n",
       "mFdTqSjtg9+ZUHYsftfBg8CehfXlOzjm4BUCERFpfy1Q7tVuOAUiwEF4oXgPfa/F11qgRR+cBHYM\n",
       "2K+C45DmS9EBSKgUHYCEScH5R5d7LS344OywH9gSsM1i45AAKToACZWiA5AwKTh/VQqqCD44djbY\n",
       "KbExiIhIF1GloIqgg2Nn5wmPloL9EWx6TBwiItJlVCmoIqpS0AtmcJ35sz0FdmhMLBIkRQcgoVJ0\n",
       "ABImBeffViMadqu18DsJREREJEhwS4GppUBERJpJlw+qiKoUTM8VgXKF4MKYOEREpMuoUlBF4MGx\n",
       "Q+HS29RC0LVSdAASKkUHIGFScP51LfdaaZjjNlc6Ex9FsDc4EBEREUHNKCIi0l1094GIiIjUnyoF\n",
       "9ZWiA5AwKToACZWiA5AwKTqAelKlQERERDqS+hSIiEg3UZ8CERERqT9VCuorRQcgYVJ0ABIqRQcg\n",
       "YVJ0APWkSoGIiIh0JPUpEBGRbqI+BSIiIlJ/qhTUV4oOQMKk6AAkVIoOQMKk6ADqSZUCERER6Ujq\n",
       "UyAiIt1EfQpERESk/lQpqK8UHYCESdEBSKgUHYCESdEB1JMqBSIiItKR1KdARES6ifoUiIiISP01\n",
       "ulJwLrAYuKew7mPAfcBrwLYD7LMh8CJwZGHddjmN2cDpDYm0PlJ0ABImRQcgoVJ0ABImRQdQT42u\n",
       "FJwH7NVv3T3AfsANg+xzKvDbfut+BHwG2Cw/+qfZKraODkDC6LPvbvr8u1dHffaNrhT8AXim37oH\n",
       "gYcH2X5f4C/A/YV1k4BVgFvz8vl5u1a0enQAEkaffXfT59+9Ouqzb6U+BSsDRwHT+q1fH5hfWF6Q\n",
       "14mIiEgdtVKlYBpwGvASUIoNZcR6ogOQMD3RAUionugAJExPdAD1tHx0AAU7APsDJ+HNMa8DLwOX\n",
       "ABsUttsAby0YyF3E35b46eD8JY4+++6mz797RX72d9UzsehKQbFF4D2F18cDLwA/zMvPAzvi/QoO\n",
       "Bs4YJL2O6vAhIiLSSWYAC4GlwDzgELyT4Dy8FeAJ4MoB9jseOKKwXL4lcQ6DVwhEREREREREZLTa\n",
       "tUNfs7wG3F1Y/gjw+CDbvojfQSGdZU3gmvx6Pfx/4im878oOwN+D4pLG0ndf9N2XZbzQoG2lPfW/\n",
       "rAWwXEQg0nD67ktR13z3W+mWxHYwAa853o6fRXx4gG0m4aM1zsL7Qeyc1+8B3JT3/UVOS9pPCZgO\n",
       "nAncjN8tczx9h+W+Fx+uG+CTwC34/8OZ6DvXrvTdl6747rdFkIHG4x/oLOBi4BV8iObtgPcBpwyw\n",
       "zyeAmcA2wNuBO4G1gOOA3fK+t7NsrVPahwGTgZ3o+4NQfB/gzcDHgXfh/w+vAwc1I0AZNX33ZSAd\n",
       "/92PviWx1b2Mf6BlY4ETgF3wD3kysA7wZGGbW/GJoMYCv8LvIU3AlvjZAsAKhdfSnn5J9TExSlQK\n",
       "gtvyuvH4HTfS+vTdl8F09HdflYLhOQiv+W+Ldzp5FBjXb5s/4D8cH8Kbmk7F53+4Gj+TkM7wUuH1\n",
       "3+nb6lb8n/gpcGxTIpJG0ndfyjr6u6/LB8OzKn5m8BrwXmCjAbbZEO+hek5+bINff3o3sGneZgI+\n",
       "26N0hrlUpgHfFtgYP5O4FvgnYO383hpUrjdKe9F3XwYylw777quloLr+TUT/A1yOdzS6DXhggG3f\n",
       "C3wJeBXvlfwpYAkwBR/MacW83XHA7EYELU1R/N+4GP+c78U7Fj2U1z8AfAW4Cq+AvwocxuC3tknr\n",
       "0HdfBqPvvoiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiHQ7TZ0sIsMxDb8Hf1V88p9rQ6MRkbrS\n",
       "4EUiMhzlgVuOD41CRBpCwxyLyFCOw0dq+wPwprzuPGD//Ppr+GRA9wBnFfZ7Bz4C4Czg5Py+iLQw\n",
       "VQpEpJrtgH/GpwL+IF7Q9/d9YAdgK3w2uA/l9ecBn8PnAPg71WeWE5EWoEqBiFSzC3AJ8Arel+Cy\n",
       "AbZ5Hz7xz9359ZbA6sDK+HjwABeiPkwiLU99CkSkGmPwwtzwqWJ/gLcoLMD7Goxj2VYBVQhE2oBa\n",
       "CkSkmhuAffGCfhVgn8J7JSrzxz+Ntwx8LC8/h7cs7JCXD2h4pCIyamopEJFqZgE/B+4CnsQ7FJYZ\n",
       "8CzwY3zq2CeoXC4A+Ex+73XgeryiICIiIl1oQuH1McBpUYGIiIhIrI/jLQ33AJcDa8aGIyIiIiIi\n",
       "IiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIidfD/AT64v/0DkQI4AAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa740698890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAe8AAAFRCAYAAABdSSXIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm4HGWZ9/Fvh2wkQICAgRggKMuIIEgcxLjwuPESXibD\n",
       "DC+uzOAaRGRAMCLISBDHYQZFZBiB0YFklEWHRYEBRpCJMEFAkERQQJaEJIQl7AguLPf7x/McT51O\n",
       "9zl9urvqrq7+fa6rr9NVXVXPr8521/oUiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiFTGncA7\n",
       "HNvfGngOqDlmqLpXgNek92cCxztmERGRLlsAfDfnNlYA78q5jSIsBE7yDtGibPEW6VljvAOI9LAj\n",
       "gDuIe+xH1H22Xvp6OnAvsAx4Y+bzfYDpwH8Ax+Qbs/TWG3kSERGRxlYA7yYW1j8AfyQexr49fT4F\n",
       "+HdgDfAI8BiwPrH43AncBpwKPA58GfhYev848BSwNi1jPeBZ4GXghfT1n4GZxD3DgY3q6cBlwBPE\n",
       "DYBPZLIuAH4ALErLuhOYlfn8GGB1+uxuRt7DnwCcBjyUXt8AxqfPPgLcUDf9K8BrgXnp+/QH4vfq\n",
       "R5nsF6fv0QPA4XXZLyIe2XiG+H3KejPwMENPH/wVcQMIYA/g1jTvI8DXh1mv+cSf1+rUTnbPeyGD\n",
       "Rww2Aa5IeZ8ELgdenVnOtsD1xO/nNcC/kv+RGRERacFyBovcCcS94qxLiedJ1ycWgseIxQtioXoZ\n",
       "OIxYfCcC5xOLwzhgM2KhPht4C3B1pr0vpNdMhhbv64EziEV019TeO9NnC4DfETc0asBXgZ+lz3YE\n",
       "VgJbpOGtGflQ8ZeBG1POzYAlaRw0L94Dyzw3My0p/23E88ljiYXvfmDvTPY/AnPT8MQGee4D3pMZ\n",
       "/k/g8+n9z4APp/eTiMW+kX2IxX2nNN35w+TelLiBMBHYgLhhdGlmWT8jbmCNBd5K3HCo//0QKYwO\n",
       "m4s0VmPont80YA7wWWLRvBF4CTiIWBh2BZ4n7pG9Avwe2BC4CniRuPd9L/GCuOnAqsyyVzN0Lw9g\n",
       "K2A2cQ/6j8S9zu8Af5uZ5gbiRoAB30sZIG5ETABeT9xwWEnc+x3Oh4iFbOBIwYnA34wwT1b2e/Xn\n",
       "xA2ArxC/R8tT9g9kprmReFQB4veq3gXAB9P7DYnf+wvS8B+B7RncILq5Sab3AecAv07TnTBM7ieJ\n",
       "xfr3wG+JG0N7pc+2Bt4EfCmtz5KUXRcWihsVb5HWbEMshA8TD4H/DNiY+E/9KuBB4mHjrPHEgria\n",
       "uKf2+jRPK6YTC8rzmXErGVrkH828f4G41ziGuNd6JHEP91Fi0duyhfYerGtreotZ622T5n0q8zoW\n",
       "eFVmmtUjLON84K+J38O/Ju7JD2zwfBzYAbgLuAX4v02WsSVDN5JWDtPeJOJRkRXEn9VPiac4agz+\n",
       "LLIbGasQcaTiLdKY1Q2vIp7XnUo8P7oJ8R/+JOIe2gvplbU1saDuTCwEjxD3yh8i7lkPtLEV6xaz\n",
       "NcRDuRvULW+kojfgAuDtxEJqwD+NMP0a4mH7bFtr0vvnies5YAuGqv9erSTubW+SeW0E7JeZvn6e\n",
       "encRNybmEI8KnJ/57L40bnPiel1EPJVR7+G0Htl1qjeQ42jiBsEexJ/VXgwefXmY+LPIttFoWSKF\n",
       "UfEWaewRYjEbODT6MPBj4gVpGxL/dv6ceBh8a+LFYmvrlrE2ffYs8BfEovAK8WKr7YGniQXj/Qwe\n",
       "Qh6winho+R+Jh8DfQDzP/r0Wsu9APJc+gbjB8XviofThXEA8Rz1wzvtLDF6QtYx41GBX4sbIgrp5\n",
       "H2XoOfVbiEchPs/gBX07E49SQOuHm88nHkF4O/Gc94CDiIUb4l6yEb+v9X5APF//OuLGR/1h8+yp\n",
       "kQ2Ip0OeIRbq7LQPEn9mC4hHX95C3BAZaQNEREQKkL1gbVPiOeUnif+4Ie49fotYWJ8mFqhVwFJi\n",
       "kb0eOCS9IF4o9RixsLxAvCp64NDtHOJe9IvEonEUcWPhZQY3ql9NvOr5CeLe5sDFcbDuBXXZeXch\n",
       "ngd+Ns17GevuLdebAHyTuLe9hnjl+fjM58cRN0YeJF4s9jKDBXs74hX5TwGXpHFbEovvw8Tv4Y0M\n",
       "fzFgI1uldi6vG/9d4gbDc8Rb9ebS3DEpw2rgo3W5sxesbQn8T1rm3cTvdfZn8RoGrza/lniI/Tst\n",
       "rINIzxruXtgBze6FFREpo+/T+AI4kUrYmVi4JxIPnV1DvDc0a1/gyvT+zcBNhaUTEWnNm4j/u8YQ\n",
       "j5r8jsGr+0UKl/c57z8jHr4bOOf2U+KVo1lziR1NkKbdmHhbjoh011XEw8L1ry94huoRWzB4WP0b\n",
       "wKcY7DRGpHL+DLiHeP5wEvH2mm/WTXM58X7WAdcytKcoERERyRib8/LvJt7K8WPi7Sa30/iq0Pqr\n",
       "T3UVp4iISBN5F2+IPRydk95/lXU7Shi453XAjDSu3n2se75cRESkqpYBu3k1PtCr0tbEjhc2qvs8\n",
       "e8HanjS/YM17b3yBc/tSOPs5mMEJFr/aWrBPeaeSwi3wDiBuFji337TuFbHnfRGxV6oXgU8T75Mc\n",
       "uA/2bGLh3pe4Z/088V7MMprpHUAKtwnwPKyYTOzT+gGoneWcSYo30zuAuJnpHaAKvPe8Fzq3L4Wy\n",
       "GWBPgh0Ff7EG7Ctgj4Jt5p1MCrfQO4C4Wejcvnfd6wrvlQjO7Uuh7BSwb6SBkMadBqZetfpP8A4g\n",
       "boJz+951rysqsRLSC2wK2BNg29SN3wjsIbDZjecTEemqStQ975UIzu1LYWw+2HmZESHz2QfAloEV\n",
       "cb2IlEPocP4nGXySml56NXo9SWPWZHxP8V6J4Ny+FMLGg60Gy96eETKf18CuBTuy6GTiJnQ4v/f/\n",
       "LmlfKKidZr8jlfjdqcRKSNnZwWDXjDDNjmCPg726mEzS4/S/S0ai4i3SPquB3QG2dwvTfgXswvwz\n",
       "SQXof5eMRMU7R8G5fcmdzQFbGov4EKHBtJPAloO9t4hk4ip0OL/3/y5pXyionVEX77yfKibSS+YD\n",
       "X4NaC/9say8AhwP/CjYh51wiIj1LW6+SI5sFthJs3Cjn+yHY8flkkooo6/+uO4F3OLW9NfHxqvVH\n",
       "ufqVDpuLtMcuBDuqjfm2SRevvab7maQiyv6/awHw3ZzbWAG8K+c2irAQOCmH5eqweY6CdwDJi20L\n",
       "vAf4dpMJQvN5aw8CXwP+pcG5cqmGkM9i7d/AFmdeC32W0bH1WpjG6M297NDl5bXyvaoc763X4Ny+\n",
       "5MZOBzt5mAnCCPOPB7sLbP9uppLSCB3O3+R/ly0mPq1u4NXGU+s6WsYK4P8CfwD+SDyMfXv6bArw\n",
       "78AaYDVxb3NgZ+8jwBLgVOBx4MvAa4Dr0vBa4HtpGRD36l8GXkhtfI74wI9XMsucDlwGPAHcC3wi\n",
       "k3MB8ANgEfHBVncCszKfH5MyPgvczch7+BOA04iPnn4I+AYwPrNuN2SmDSnna4F5xO/TH9J6/CiT\n",
       "/WLgMeAB4rUw2ewXpe/BM8DHmmTSYXOR0bGpxAeQTO9wOe8EexBscndySYW0Wry79Rqhn4I/WQ68\n",
       "GzgB+I+6zy4FzgTWBzYHbiYWL4gF7kXgMGLxnUgsbu8GxgGbAT8lFsVsW9miOpOhxft64AxiEd2V\n",
       "WAjfmT5bAPwO2Ie49/5V4Gfpsx2BlcAWaXhr4obEcL4M3JhybkbcEPlyZt1uqJv+lcwyz81MS8p/\n",
       "G3A88Smd2wL3AwO3my4gFvy5aXhik0wq3iKjY8eDndOlZX1vhD146U9l3fPOFu/sOe9pwO8ZWmg+\n",
       "SNyzhljgHhxh2fsDv6hrq1nx3or4yN3shu9XiYUSYgH8ceaznYh78QDbAY8yuOHQivuIGwID9k75\n",
       "oLXinT3n/WbW/V4cCwz8T1kALG4hk8555yh4B5Bus4nAZ4jnrIcTWlzg54CPg+3USSopnZDTclcQ\n",
       "DzOTvl7TxvPiu7GMetsQC+HDwFPpdRZxD3zAqrp5pgEXEg9fP0PcGJjaYnvTiX17P58ZtxLI9mD4\n",
       "aOb9C8QNizHEQnwksUg+ClwAbNlCe9mCuzKNaySMsKxt0rxPZV7HAq/KTLN6hGW0RcVb+tnfArdC\n",
       "7dfdWVztEeI/kW/p4jUZWe0jwN8D18avtQ/5LGOdvbtVxPO6U4FN0msKsMsw83yVeF575zTt3zC0\n",
       "vgx35HQNsCmwQWbc1rRe9C4A3k4spAb80wjTryHu+WfbWpPePw9Myny2ad289euxkrjXvknmtRGw\n",
       "X2b6XI4aq3i3brF3AOkmGwMcDZzSwsSLR7Hgs4ANgQ+3EUrKaXF+i66dBbX3dra33PEyHiUWs4EN\n",
       "zoeJh6lPJf4ujyGe0x7unvANiIXvWeIe8/wGbby2ybyriOeg/5F4MdkbiBd2fa+F7DsQD8dPIG5w\n",
       "/J64ETGcC4jnqAfOeX+JwdMGy4DXE8+7T2Tw3HV2PbLn1G8hXrz2eeL1AesRN2DelD7XRjw65y1d\n",
       "ZfuD3ZLPHrLtAbYGbOPuL1t6UFn/dw2ch96UeJ73SeDW9NlGwLeIhfVp4vnr96XPDiZeYJa1U5r3\n",
       "uTTtUcS90gFziYeqn0qfzSQW2YEdyFcDlxOvNr+PwYvjYN0L6rLz7kK8mO7ZNO9lDF681swE4JvE\n",
       "ve01xCvPx2c+P454xfyDxI3wlxks2NsRr8h/CrgkjdsSOJ+40fMkcUNk4Px+o4sBG9EFazkKzu1L\n",
       "V9kSsANbnDi0sfwzwc4Y/XxSQqHD+b3/d0n7QkHt6II1kZHZbOLW+SUjTdmB44ADwGaNOKWISIVp\n",
       "61W6xC4FO6yAdg5Oh+b7slcl+RP97yreVcRD+PWvL3iGGoYOm4sMz3YAewxs0sjTdtxWDex6sEPz\n",
       "b0tKTP+7ZCQq3jkKzu1LV9jZYCeOcqbQQXs7p44zprW/DHEWOpzf+3+XtC8U1I7OeYs0Z9OAA4nd\n",
       "MBakdifxSUT/XFybIiLloa1X6ZCdFK8CL7zdDcBWge1VfNtSAk8y2FmHXno1ej1JY9ZkfE+pxEqI\n",
       "F5tMPHy9vVP7B4D9CqzV/pdFRFzr3rHAr4A7iDeyT6j7PBD7wr09vY5vshzv4h2c25eO2OFgF7c5\n",
       "c+hC+zWwq8Dqe56S8gveAcRNcG7fre7NJD7fdKBgf5/YO09WIPaKMxIVb2mTjQVbDrZnmwsIXcqx\n",
       "HdjjYFt1Z3lSkOAdQNwE5/bd6t6mwD3EztrHEru/e0/dNCGNH4l38ZaeZe8Hq3/MnxM7oYMjACLS\n",
       "X1zr3jzizfGPMfSZsQP2IvZJuwy4kthHbiMq3tIGq4HdCjbXO0lkE8HuA9vXO4mIlJ5b3Xst8Gvi\n",
       "o+XGApey7tOWNmTwEWxzgN80WZZ38Q7O7Utb7J1gdxGfItau0K00ke0Ddj/Y+t1druQkeAcQN8G5\n",
       "/aZ1b2zODb+J+ISVJ9LwJcBs4LzMNM9l3l9FfJLNpjS+dH4h8eHzEJ90s5TBx/WF9DWv4d1yXr6G\n",
       "8xn+PPA1qL2jxekLGK5dDT9YBU+dCXzEP4+GNazhJsOM8Hke7QWGPm/cxa7AncTnnNaARUB9n9LT\n",
       "GHzm6R4MFud63nve0nNsF+KjOevvcCgBm5EuXnO6dU1EeoBr3fs8g7eKLSI+N/WQ9IJYzO8k7kXf\n",
       "CDS7IljFW0bJFoEd652iOTsa7L/J5ZniIlIBlah73isRnNuXUbEZYE+CbdKFhYUuLKMBGwd2B60/\n",
       "V1x8BO8A4iY4t9+07qlvc6mqI4BFUHvKO0hztReBQ4FvgG3onUZEJA/ee97SM2wK2BNg23gnaY2d\n",
       "C/Z17xQiUjqVqHuVWAkpgs0HO2/k6crCNic+Y/wN3klEpFQqUfe8VyI4ty8tsfFgq8F2G3naloUu\n",
       "LqsJmwe2pMP70SUfwTuAuAnO7euct/SNDwJ3QW2pd5BR+g6x34X6vv9FRHqa9563lJ7V0tXbe3sn\n",
       "aY/tDvYI2FTvJCJSCpWoe5VYCcmTzQFb2tv3TdvpYGd7pxCRUqhE3fNeieDcvozIrgM7KIcFhxyW\n",
       "2YRNSb3Ctfv4Uum+4B1A3ATn9nXOW6rOZgHbEZ8Z38NqzwCfA74Vn0MuItLbvPe8pdTsQrCjvFN0\n",
       "h9XSUYTDvZOIiKtK1L1KrITkwbZND/moUC9l9jqwtWBbeicRETeVqHveKxGc25em7HSwk3NsIOS4\n",
       "7GHYV3urs5nKCt4BxE1wbt+77nWF90oE5/alIZuaHkAyPcdGQo7LHoZNAlsB9m6f9iUJ3gHETXBu\n",
       "37vudUUlVkK6zY4HO8c7RX5sLtjd5XwmuYjkrBJ1rxIrId1kE1OnJjt5J8mXXQZ2nHcKESlcJeqe\n",
       "90oE5/ZlHTYP7IoCGgoFtDGMP12Qt61vjr4VvAOIm+Dcvu7zlqqxMcDRwCneSfJXWw6cCnzTO4mI\n",
       "yGh573lLqdj+YLf0dleoo2ET0rnvud5JRKQwlah7lVgJ6RZbAnagd4pi2bvT1eeTvZOISCEqUfe8\n",
       "VyI4ty9/YrPB7gdbr6AGQ0HttMDOj/d/S4GCdwBxE5zb1zlvqZT5wKlQe9k7iIOjgU/GHthERMrP\n",
       "e89bSsF2AHssdmDSr+zvUt/nfXK+X6RvVaLuVWIlpFN2NtiJ3il82Viw28E+5J1ERHJVibrnvRLB\n",
       "uX3BpqWuUDcvuOFQcHstsD3Tc7+neCfpA8E7gLgJzu3rnLdUwmeA70NtrXcQf7WbgCuAk7yTiIgM\n",
       "x3vPW1zZ5PSIzO29k5SHTQV7FGx37yQikgvXuncs8CvgDuB8oNEDFk4H7gWWAW9sshwV775mh4Nd\n",
       "7J2ifOxjYDenHudEpFrc6t5M4AEGC/b3gYPrptkXuDK9fzNwU5NleRfv4Nx+H7OxYMvjeV4Xwand\n",
       "FtiY1GHNPO8kFRa8A4ib4Ny+2znvZ4EXgUnA2PT1obpp5gKL0vubgY2BaTnnkt5yALA6neeVIWqv\n",
       "AIcCX3G4kE9EKmwe8BzwGPDdBp9fDszODF8LzGownfeet7iwGtit6tN7JPb1aj/XXKQvue15vxY4\n",
       "knj4fDqwAfDhBtPVdzahQi0DAjCZeGW1NLcAeC/Y27yDiEj+xua8/DcBNwJPpOFLiHvZ52WmeQjY\n",
       "KjM8g3UPrQ9YCKxI758GlgKL03BIX/MaPrLg9jQcfR74GtTe4Zhn4L1X+y0M12bBCd+BBWfGq89r\n",
       "by1Xvp4eHnhfljwaLm54YFyR7QXiDq+rXYE7gfWJe9eLgMPqpslesLYnumBN/sR2SR2RNLpDoUjB\n",
       "uf0WWQ3sv8GO8k5SMcE7gLgJzu271r3PM3ir2CJgPHBIeg04A7iPeKtYs3tWvYu3FM4WgR3rnaK3\n",
       "2PZgj4PN8E4iIh2rRN2rxEpIq2xG6gp1E+8kvcdOBPuBdwoR6Vgl6p73SgTn9vuMnQL2De8USfAO\n",
       "MDq2fnre+f/xTlIRwTuAuAnO7Tete3lfsCbSBpsCfIzmp1BkWLXfgX0GOCNeN1D7vXciEelf3nve\n",
       "UhibD3beyNPJ8OxisC95pxCRtlWi7lViJWQkNh5sNdhu3kl6n22VLl7bzjuJiLSlEnXPeyWCc/t9\n",
       "wg4Gu8Y7RZ3gHaB9Nh/s6ngbmbQpeAcQN8G5fT3PW3qB1YDPAad4J6mQ04idIP21dxAR6U/ee96S\n",
       "O5sDtlR7id1m7wBbBbahdxIRGZVK1L1KrIQMx64DO8g7RTXZonj7nYj0kErUPe+VCM7tV5zNAlsJ\n",
       "Ns47SQPBO0DnbBrYWrCdvZP0oOAdQNwE5/Z1zltKbz5wGtRe9A5STbVHgS8BZ+q0hIgUyXvPW3Jj\n",
       "26ZbmnRONle2HtjP4xX9ItIDKlH3KrES0oidDnayd4r+YG8CewRsU+8kIjKiStQ975UIzu1XlE1N\n",
       "DyCZ7p1kGME7QHfZv4Kd6Z2ihwTvAOImOLevc95SWocCP4TaGu8gfeR4YH+wPbyDiEj1ee95S9fZ\n",
       "xHQIdyfvJP3H/gbstngeXERKqhJ1rxIrIVk2D+wK7xT9yWpgPwU7zDuJiDRVibrnvRLBuf2KsTFg\n",
       "94Dt5Z2kBcE7QD7s9ene7y28k5Rc8A4gboJz+zrnLaUzF3gGuN47SP+q/Qr4d9SXvIjkyHvPW7rK\n",
       "loAd6J1CbDLYg2DBO4mIrKMSda8SKyEANhvsfl0sVRa2P9iv47PURaREKlH3vFciOLdfIXZpj10o\n",
       "FbwD5Mtq8cJBO8Y7SUkF7wDiJji37133usJ7JYJz+xVhO4A9BjbJO8koBO8A+bPXpC5qt/FOUkLB\n",
       "O4C4Cc7te9e9rqjESoidDXaidwppxI6PR0VEpCQqUfcqsRL9zaalrlA3904ijdgEsN+A7eedRESA\n",
       "itQ975UIzu1XgJ3Uo31qB+8AxbH3gj3QY6c18ha8A4ib4Ny+7vMWbzYZ+BRwqncSGU7tGuAW4Fjv\n",
       "JCLiZ0fg9szrGeDv6qYJafzANMc3WZb3nrd0xA4Hu9g7hbTCpqee13b0TiLS50pR98YADwNb1Y0P\n",
       "wGUtzF+KlZB22Fiw5WB7eieRVtmRYNfE28hExElHh83HAvd0IcR7gPuBVQ0+64V/EME7QA87AFgN\n",
       "tZu8g7QpeAdwcAbwKuB93kFKIHgHEDfBO0AzrRTvl4C7gU7v//wAcH6D8QbMBpYBVwJ6PGSlWA2Y\n",
       "j/rP7jG1l4jPWj8VbCPvNCIyVKt7vDcAbyReyPJ8GmfEh0u0YjzwELEwr637bEPgZeAFYA7wTWCH\n",
       "BsswYBGwIg0/DSwFFqfhkL5quFTDVgO+BeM/DS+afx4Nj27YDgJ+C7UfliOPhjVc6eGB9zPT+4Pp\n",
       "8Mh0aPAazaMc/xK4usVplwObNhivc949ya4C+7h3CmmXbQb2KNhu3klE+lBX6t5M4nlrgEnAaA6l\n",
       "XUjcgmhkGoNbFnswuGddz7t4B+f2e5DtArYmdv7R04J3AF/2CbCfxWew96XgHUDcBOf2O65784Cf\n",
       "Ey84g3hY+yctzjsZeJx4eHzAIekFcBhwJ/EQ+I1AsyuSVbx7ji0Cq8L9wsE7gC8bk4r3J7yTOAne\n",
       "AcRNcG6/47q3DJhAvA97wB2dLnSUvIu3jIrNSF2hbuKdRLrBdkuHzzfzTiLSRzruYe0P6TVg7HAL\n",
       "FQGOABZB7SnvININtaXABcDJ3klEpHWnAF8k3u/9XuBS4B8KzuC9sRCc2+8hNgXsiQo9XjJ4BygH\n",
       "2wjsIbDZ3kkKFrwDiJvg3H7He97HEG/xuoN4rvpKmndjKjIPuBpqD3oHkW6qPQscDZwZe80TkbI7\n",
       "osVxefLe85aW2Hiw1bq1qKqsBnZt7D5VRHLWcd27vcG4pZ0udJRUvHuCHRz7xJbqsh3BHgd7tXcS\n",
       "kYpru+59ELic2JvZ5ZnXYlq/VaxbvIt3cG6/B1gN7A6wvb2TdFnwDlA+9hWwC71TFCR4BxA3wbn9\n",
       "pnVvpPNWNxKfBLY58DUGO1N5jnj7mEjWPsSubrXnXX1fBe4Ee296BriISEPee94yIrsu9YUtfcH2\n",
       "A/tNBXrQEymrjuvec5nXH4BXgGc7XegoqXiXms0CWwk2zjuJFMkuBdOdJyL56GrdGwPsT/GdNXgX\n",
       "7+DcfsnZhWBHeafISfAOUF62Tbp47TXeSXIUvAOIm+Dcfi51r9+uNg/O7ZeYbZv+gW848rQ9KXgH\n",
       "KDc7Buy/0uNfqyh4BxA3wbn9pnWv1T+2AzLvxwCziI8EfUsHoUbL6PC5ppIXOx14AWpf8E4iHmw8\n",
       "cWP+uMxzv0Wkc03rXqvFcCGDWwAvER/b+W3gsQ6DjYaKdynZVOBeYGeorfFOI14sAIuAnaD2vHMY\n",
       "kaqoRN3TYfNSsuPBzvFOkbPgHaA32HfBqvjgkuAdQNwE5/Y7rntbER9Gsja9LgZmdLrQUVLxLh2b\n",
       "CPYI2E7eSXIWvAP0BtsCbG0Ffx+CdwBxE5zb77juXQt8FBiXXh+h+I44vIu3rMPmgV3hnULKxA4D\n",
       "W1zhi9dEitRx3WvUm1rRPaypeJeKjQG7B2wv7yRSJrYe2G3qrEekKzque9cBfwOsR+xS9SDUt3mf\n",
       "s/3BbumTPazgHaC32B5ga8A29k7SJcE7gLgJzu13XPdmEh9IMnDO+0fA1p0udJRUvEvFloAd6J2i\n",
       "IME7QO+xM8HO8E7RJcE7gLgJzu3nXveOzbsB/Iu3/InNBrs/HiIVacQ2AXs4dpsrIm3Kve41et53\n",
       "t6l4l4ZdGi9MEhmOHQz2c23kibRNxbsLgnP7JWE7gD0GNsk7SYGCd4DeZDWw68EO9U7SoeAdQNwE\n",
       "5/ab1r0xRaaQSjgaOBNqL3gHkbKrGfBp4Mtg07zTiMi6+mHPW7BpYE+Cbe6dRHqJnQK2yDuFSA/K\n",
       "ve4dl3cDqHiXgJ0UryIWGQ3bAGyV+gQQGbWO694pwEbE3tV+AjxOvO+7SN7FOzi378wmp64vt/dO\n",
       "4iB4B+h9dgDYr8DGeSdpQ/AOIG6Cc/sdn/PeG3gW2I/4RLHXAvNbmG9H4iH1gdczwN81mO504pOp\n",
       "lgFvbDGTFOtjwPVQu9c7iPSkS4CVwJHeQUT6ya/S138H5qT3o+0edQzwMPEhJ1n7Alem928Gbmoy\n",
       "v/eedx+zsWDLwfb0TiK9zLYDexys/n+AiDTWcd07GbgbWAqMB14F3DzKZewN/G+D8WcB788M3w00\n",
       "ujJVxduNvR/sBu8UUgV2AtjF3ilEekRX6t5UYt/mAJOBLUY5/znE20bqXQ7MzgxfCzTqlcm7eAfn\n",
       "9p1YDexWsLneSRwF7wDVYRPB7gPb1zvJKATvAOImOLfftO6NHcVC/gzYhnjR2sBC/6PFeccDfwEc\n",
       "0+Tz+odbNAu8kHjOHeBp4pGAxWk4pK95De+W8/LLOlwDJsP459I47zwa7unh2uLYO9/V58AWH4VH\n",
       "flyufBrW8JBhRvg8j/YC8XkiXfE94EbgW8C/ZF6t+kvg6iafnQV8IDOsw+alYleBfdw7hVSN/QDs\n",
       "RO8UIiXXcd27i3X3jkfjQuDgJp9lL1jbE12wViK2S3q04wTvJFI19up08Vo/3noo0qqO695/AtPb\n",
       "nHcy8b7wDTPjDkmvAWcA9xGvYN+9yXK8i3dwbt+BLQIr4olxZRe8A1STHQX23z3wTPjgHUDcBOf2\n",
       "O657i4nEJ+i4AAAXEElEQVTnmH9MvMDscuCyThc6SirehbIZqSvUTbyTlEDwDlBNNg7slz3wXPjg\n",
       "HUDcBOf2m9a9Vrd4Q92Caun9T9vPNGpGZ4fuZVTsFGAs1D7rnUSqzN5GPK32Oqg9551GpGS6Uve2\n",
       "IF4xvh/xPu+iee959xGbAvYE2DbeSaQf2DlgX/dOIVJCHde99wEPEm8N+w/i7VpFH+ryLt7Buf0C\n",
       "2Xyw87xTlEjwDlBttnl6RvwbvJM0EbwDiJvg3H7Hde+XDN3b3jyNK5KKdyFsPNhqsN1GnrZvBO8A\n",
       "1WfzwJaAjfFO0kDwDiBugnP7Hde9Oxh63H1MGlck7+LdJ+xgsGu8U0i/sTFgN4N91DuJSIl05ZGg\n",
       "PwY+AnyU2OHKP3e60FFS8c6d1cDuANvbO4n0I9sd7BGwqd5JREqi47pXAw4AvgGcCvxVpwtsg3fx\n",
       "Ds7tF8DmgC3tgftuixa8A/QPOx3sbO8UdYJ3AHETnNv3rntd4b0Swbn9Ath1YAd5pyih4B2gf9iU\n",
       "1KtfmR4/G7wDiJvg3H7bdW9J+vpb4Lm617Od5xoV7+JdcTYLbGXsOEPEk30I7BfxOfIifa0Sda8S\n",
       "K1FedmHsrlLEm9XSUaDDvZOIOOu47n23xXF58i7ewbn9HNm26SERG448bV8K3gH6j70ObC3Ylt5J\n",
       "0M+/nwXn9pvWvVbvqdy5bngsMKvtOFI2nwW+o+4ppTxqdwHfBtTzmkgbjiOe336Joee7nwROLjiL\n",
       "9553RdnU9ACSdp8aJ5ITmwS2Auzd3klEnHRc94ou1I2oeOfCjo99S4uUkc0Fu1vPlJc+1ZW6twmw\n",
       "B/COzKtI3sU7OLefA5uYOsXYyTtJyQXvAP3NLgM7zjFAcGxbfAXn9juue58kdof6NPA/wO+A6zpd\n",
       "6CipeHedzQO7wjtFDwjeAfrbny6o3NYpQHBqV/wF5/Y7rnt3AusDS9PwnwGXdrrQUfIu3hVjY8Du\n",
       "AdvLO4nIyOy4uAcu0lc6rnu3pq9LgYnp/a87XegoqXh3le0Pdou6QpXeYBPSue+53klECtRx3fsh\n",
       "8Zz3AuAG4DLgyk4XOkrexTs4t99ltgSs6Gey96rgHUAgXnVuK8AmF9xwKLg9KY/g3H5X614A5gLj\n",
       "u7nQFqh4d43NBrsfbD3vJD0ieAeQAXY+2FcLbjQU3J6UR3Buv6O6Nxa4u0tBOuFdvCvELgU7zDuF\n",
       "yOjZlqnntdd5JxEpQMd170fANl0I0gkV766wHcAeix1giPQiOzz1fa7rNaTqOq57NxCfLHYdcHl6\n",
       "FX3lp3fxDs7td4mdDXaid4oeE7wDSJaNTU8d+1BBDYaC2pHyCc7tN617rT5y7+9Hs1ApK5sGHAjs\n",
       "6J1EpH21l8AOBS4F+y+oPeOdSKTMZgLvSe8nARsV3L42FjpmJ4Gd6Z1CpDvsbLDTvVOI5KjjujcP\n",
       "+DlwfxreAfhJpwsdJRXvjtjkdKHP9t5JRLrDpqbufXf3TiKSk47r3jJgAnB7ZtwdLc67MXARcBex\n",
       "Y5c96z4PwDNp2bcDxzdZjnfxDs7td8gOB7vYO0WPCt4BpBn7KNjNscfA3IQcly3lFpzb77ju3ZK+\n",
       "DhTvscAvW5x3EfCxzHxT6j4PtHbxm4p322ws2HKw+g0naU3wDiDN2Biw/4399Ocm5LhsKbfg3H7H\n",
       "de8U4IvAPcB7if2a/0ML800BHhhhmkC8en0k3sW7h9n7wW7wTiGSD3tDuv1xc+8kIl3Wcd0bQzzv\n",
       "fVF6fRJo5R7L3YCbgXOBXwDfJl7slrUX8ATx0PyVQLPHU6p4t8VqYLeqT2ipNvu6nksvFdTxrWKH\n",
       "A98E/i0z7og0bjhjgd2BzxAveDsN+ALwpcw0vwC2Al4A5hD7Ud+hyfIWAivS+6eJD0pZnIZD+prX\n",
       "8JEFt9et4RowGcY/l8Z55+nF4YH3Zcmj4XWGX3MtnLUI7G1Q+98uL3/gfRfzarhHhgfGFdleIN7d\n",
       "1RW3Nxi3tMG4elsAyzPDbwNGen70cmDTBuO997yDc/ttsqvAPu6doscF7wDSCjsQ7A6wcV1ecOjy\n",
       "8qR3BOf22657HySej36awZ7VLiduLbR6q9j1DO5JLwD+qe7zaQwegt+DwT3ret7FuwfZLmBr4uMU\n",
       "RarOamD/DXaUdxKRLmm77m1D3PK4iXhuOqTXLFo/5L4r8ZD5MuAS4q1jh6QXwGHAncQ9+RtZ91ay\n",
       "ASreo2aLwI71TiFSHNse7HGwGd5JRLqgEnXPeyWCc/ujZDPAngTbxDtJBQTvADIadiLYD7q4wNDF\n",
       "ZUlvCc7tN617Y0aYcUn6+lvgubrXs12JJnk5AlgEtae8g4gU7GRgFtj/8Q4iIv573j3EpoA9Aeb9\n",
       "GFcRJzYH7F6wid5JRDpQibpXiZUohs0HO887hYgvuxjsBO8UIh2oRN3zXong3H6LbDzYarDdvJNU\n",
       "SPAOIO2wrdLFa9t1uKDQjTTSk4Jz+22f85be80HgLqi1ch++SIXVVhFvTT0j3kYmIh6897x7gNVS\n",
       "JxV7eycRKQcbB/YrsAO8k4i0oRJ1rxIrkS+bA7ZUexkiWfYOsFVgG3onERmlStQ975UIzu23wK4D\n",
       "O8g7RQUF7wDSKVsEdkqbM4duJpGeEpzb1znv6rNZwHbA972TiJTQ54GPgO3sHUSk33jveZecXag+\n",
       "nUWGY4fG59rrtJL0jErUvUqsRD5s23RLjM7piTRl64HdAnawdxKRFlWi7nmvRHBufxh2OtjJ3ikq\n",
       "LHgHkG6xWWCPgDV67HAzIa80UnrBuX2d864umwocBJzunUSk/Gq3ARcB/+CdRKRfeO95l5QdD3aO\n",
       "dwqR3mEbp+fc7+GdRGQElah7lViJ7rKJ6RDgTt5JRHqLHQR2WzwPLlJalah73isRnNtvwOaBXeGd\n",
       "og8E7wDSbVYDWwx2WAsTh5zDSHkF5/a9615XeK9EcG6/jo0BuwdsL+8kfSB4B5A82E5ga8G2GGHC\n",
       "UEQaKaXg3L533euKSqxE99j+6bYX3bMq0jY7Gey7bc68MfHit7uAXwN7NpjmdOBeYBnwxsz4fYC7\n",
       "02fHtNm++CnqZ1+JuleJlegeWwJ2oHcKkd5mk8EeBAttzLwI+Fh6PxaYUvf5vsCV6f2bgZvS+/WA\n",
       "+4CZwDhgKfC6NtoXP0X97CtR97xXIji3n2Gzwe7XxTaFCd4BJE+2P9ivwcY3mSA0GDcFeGCEBZ8F\n",
       "vD8zfDewBfAW4OrM+C+kl5RPaDCuyJ+97vOumPnAqVB72TuISAX8iPjP+LOjmGdbYC1wLvAL4NvA\n",
       "pLppXg2sygyvTuOmNxkvvaEUP3sV79Yt9g4Q2Q7AW4m/OFKMxd4BJE81A/4OmA+2TYMJFjcYNxbY\n",
       "HfhW+vo8jfegdE1Kb1vcYFwpfvYq3r3naOBMqL3gHUSkOmoPAKelVytWp9fP0/BFxH/kWQ8BW2WG\n",
       "Z6R56sdvlcZLb9DPfpR0zhubBvYk2ObeSfpM8A4gRbAJYL8B26/ug9BkhuuBHdL7BcA/1X2evWhp\n",
       "TwYvWhoL3E+8aGk8umCtzEKT8UX97L3rXld4r0Rwbh+wk8DO9E7Rh4J3ACmKvRfsAbDsOczQZOJd\n",
       "iXtfy4BLiLcPHZJeA84gXl28jKF7Z3OAe9Jnx3YluuQhNBlf1M/ete51cj9clnfxdmaTU4cS23sn\n",
       "Eak2uzBuKIu4c6177d4PV6/fi/fhYBd7pxCpPpueNpR39E4ifc+t7rV7P9y0BtN5F+/g17SNBVsO\n",
       "1uioheQveAeQotmRYNemHgyDdxpxE5zbd7vPu9374WbknKvXHACshlqzoxIi0l1nALsBv4IfnpYe\n",
       "YrLQN5IUx/4t/szL+7MfW8Dydwc+Qzy5fxrxfrgv1U1Xfz+c9152I4t9mrUasVOWL/u0L+g+7z5U\n",
       "ewlsJfBG+MuBkbPANgB+5pdLCvIu4LWZn/3rwT4FtbMcMw2Rd/FudD9c/c3sje6He6jJ8hYCK9L7\n",
       "p4mX2S9OwyF9rdpwDZgM459L47zzaFjDfTL8ozGD/7wXA2wA4U3Ag3BuOjr40XSProarNfzjjeKd\n",
       "XCEOsngzePoTxNO8kN/v38D7mZRAu/fD1fPeGw8+zdpVYB/3aVuS4B1APNhiMIP/sfjV1sa9L6m+\n",
       "0vzsXeteJ/fDZfVh8bZdwNbEziPEUfAOIB5sYfyn/T8D/7zP904kRSnNz9677nVFJVZidGwRmDpw\n",
       "EHFjnwK7Rnvc/agUP/tK1L1KrETrbEbqCnUT7yQiIuJCjwTtglBwe0cAi6D2VMHtyrqCdwBxFbwD\n",
       "iJvgHaCZvK82l7bYFGKvdM3O/4uIiPSEPjpsbvPBzvNOISIiripR9yqxEiOz8WCrwXbzTiIiIq4q\n",
       "Ufe8VyIU04wdHK9wlBIJ3gHEVfAOIG6Cc/tN657OeZeK1YDPAUd7JxEREekG7z3vAtgcsKWpiIuI\n",
       "SH+rRN2rxEoMz64DO8g7hYiIlEIl6p73SoR8F2+z4lOMbFy+7UgbgncAcRW8A4ib4Ny+OmnpAfOB\n",
       "06D2oncQERGRbvHe886RbQv2ONiG3klERKQ0tOddcp8FvgO157yDiIiIdJP3nnfIZ7E2NT2AZHo+\n",
       "y5cuCN4BxFXwDiBugnP72vMusUOBH0JtjXcQERGRbvPe886BTQR7BGwn7yQiIlI6lah7lViJoWwe\n",
       "2BXeKUREpJQqUfe8VyJ0d3E2BuwesL26u1zJQfAOIK6CdwBxE5zb1znvEpoLPANc7x1EREQkL957\n",
       "3l1mS8AO9E4hIiKlVYm6V4mViGw22P1g63knERGR0qpE3fNeidC9RdmlYId1b3mSs+AdQFwF7wDi\n",
       "Jji3r+d5l4ftALwV+LB3EhERkbx573l3iZ0NdqJ3ChERKb1K1L0KrIRNS12hbu6dRERESk+3inVB\n",
       "6MIyPgN8H2pru7AsKU7wDiCugncAcRO8AzRTxDnvFcCzwMvAi8AedZ8H4EfAA2n4YuArBeQqmE0G\n",
       "PgXM9k4iIiIykuXApsN8HoDLWlhOjx82t8PBLvZOISIiPcP9avNah5/3OBsLHAV80DuJiIj0viLO\n",
       "eRtwLXAr8Mkmn88GlgFXAmV9wlboYN4DgNVQu6lLWaRYwTuAuAreAcRN8A7gacv0dXNgKfD2us83\n",
       "BCal93OA3zRZjvdh89DebFYDuxVsblfTSJGCdwBxFbwDiJvg3H7Tulf04eoTgN8CXx9mmuXALODJ\n",
       "uvEGLCJeAAfwNHFjYHEaDulryYatBnwLxn8aXjT/PBrWsIY1rOGSDg+8n5neH4zTaeVJxD1rgMnA\n",
       "EmDvummmMRhuDwaLcz3vPe822VVgH/dOISIiPcet7m1L3DteCtwJHJvGH5JeAIelz5YCNwJ7NlmW\n",
       "d/EOo5/FdgFbAzah62mkSME7gLgK3gHETXBu37vudYX3SoTRz2KLwI4deTopueAdQFwF7wDiJji3\n",
       "7133uqLHVsJmpK5QN/FOIiIiPUndozo4AlgEtae8g4iIiHjx3vMOrU9qU8CeANsmtzRSpOAdQFwF\n",
       "7wDiJji3rz3vgs0Drobag95BREREPHnvebfIxoOtBtvNO4mIiPS0Hql7w+uRlbCDwa7xTiEiIj2v\n",
       "R+re8LxXIow8idXA7gCr74hGelvwDiCugncAcROc29c574LsQ3xuufa8RURE8N/zboFdB3aQdwoR\n",
       "EamEHqh7Iyv5StgssJVg47yTiIhIJZS87rXGeyXC8B/bhWBHFZJEiha8A4ir4B1A3ATn9nXOO1+2\n",
       "LfAe4NveSURERMrEe897GHY62MneKUREpFJKXPdaV9KVsKnpASTTvZOIiEil6LB5F4Qm4w8Ffgi1\n",
       "NQVmkWIF7wDiKngHEDfBO0AzY70D9DabCHwGeJd3EhERkTIq4WFzmwd2hXcKERGppBLWvdEr2UrY\n",
       "GLB7wPbyTiIiIpVUsrrXHu+VCEMHbX+wW4AVwC+B24Fbmsx7OnAvsAx4Y2b8PsDd6bNjuhlWuip4\n",
       "BxBXwTuAuAnO7XvXva7wXokwdNCWgB0ILAc2HWa+fYEr0/s3Azel9+sB9wEzgXHAUuB13QorXRW8\n",
       "A4ir4B1A3ATn9r3rXleUaCVsNtj9YOsRi/fUYSY+C3h/ZvhuYAvgLcDVmfFfSC8RERHQrWJdNx84\n",
       "FWovE7+51wK3Ap9sMO2rgVWZ4dVp3PQm40VERIal4t26EL/YDsBbgXPT+LcSz2PPAQ4D3t5g3lru\n",
       "6SRPwTuAuAreAcRN8A7QjIr36B0NnAm1F9Lww+nrWuBSYI+66R8CtsoMzyDuZdeP3yqNFxERqYwS\n",
       "nPO2aakr1M3TiEnAhun9ZGAJsHfdTNkL1vZk8IK1scD9xAvWxqML1kREZKgS1L3OlWAl7CSwMzMj\n",
       "tiUW3aXAncCxafwh6TXgDOKV5cuA3TPj5wD3pM+ORUREZJBr3VtB+/dBZzkX7632AVsLtr1vDnEQ\n",
       "vAOIq+AdQNwE5/Zd616790HXcy7eH7oI7GLfDOLkSO8A4ko///7l/bN3v1VsuKut5wKL0vubgY2B\n",
       "abknGhUbCzPeDZzinURcbOwdQFzp59+/SvuzL6J4t3Mf9IwCcrXI/g1YBuPWB04GW+gcSERE+lwR\n",
       "jwR9K/F2qs2Ba4g9jN1QN039nnkJLk77kx2AndJdXHsBrwf7FNTO8o0lBZrpHUBczfQOIG5megdo\n",
       "pujOQ04Afgt8PTPuLGAxcGEavptYJB+tm3cpsGvO+URERMpiGbCbR8Od3ActIiIiDjq9D1pERERE\n",
       "RESkt/XzAzNeJnYeM+AvgZVNpv0tsEHuiaRoU4l3QkB8TOvLxD7qjdhH/UtOuSRf+tsX/e33sOdy\n",
       "mlZ60wnAUXXj1vMIIrnT375k9eTfvp4qNmgycUvsNuJW+dwG02wJXE/s6vUO4G1p/N7AjWneH6Rl\n",
       "Se+pAQuJd0DcBPwz8Q/76Mw0dwJbp/cHETsWuj3No7+n3qS/fem5v/1+/mezPvEbfztwMfB74K+A\n",
       "WcC7GHo724APAVcT+1/flXgh3mbAF4F3p3lvY92tOOkdBkwH3sLQP9zs5xCfAPc+YDbx9+EV4MNF\n",
       "BJSO6W9fGumpv/0iOmkpq98x9CEo44B/BN5O/GFMB14FPJaZ5hbgnDTtD4lXxwdgJ+LWN8THe96I\n",
       "9LL/ZPiOgmoM/sO+NY1bH3gk51zSHfrbl2Z65m+/n4t3vQ8Tt6R3J168sByYWDfNDcQ/8P2Ih1hO\n",
       "BZ4i9hz3oaKCSu5eyLx/iaFHqLK/E4uA4wpJJHnS374M6Jm//X4+bF5vI+KW9svAO4FtGkyzNfGK\n",
       "xO+k1xuJ50feCrw2TTMZ0GNDq2MFg30P7E7su8CAnwD/j9jtL8Qn521dP7P0BP3tSyMrKPHffj/v\n",
       "edcfGjkPuJx4wcqtwF0Npn0n8DngReJVqH8LPA58BLgAmJCm+yLx+eTSm7K/GxcTf853Ei9QuSeN\n",
       "vws4HvgxcSP4ReDTNL/lSMpDf/vSjP72RURERERERERERERERERERERERERERERERESkKP38SFAR\n",
       "GWoB8R7mjYgP4fiJaxoRaaqfO2kRkaEGOqg4wTWFiIxI3aOK9LcvEnuOugHYMY07Fzggvf8S8aEc\n",
       "dwBnZ+b7c2KPZLcDp6TPRaQgKt4i/WsW8H7iIy73JRbkev8C7AHsQnx60n5p/LnAJ4l9fL/E8E9i\n",
       "EpEuU/EW6V9vBy4hPs/6OeCyBtO8i/gAjl+m9zsBGwMbEPt7BjgfXT8jUiid8xbpX0bzomvERyD+\n",
       "K3EP/SHiufCJrLuXrcItUjDteYv0r+uB/YkFeUPgLzKf1Rh8fvETxD3tA9PwM8Q99T3S8AdyTyoi\n",
       "Q2jPW6R/3Q58H1hGfJ71LZnPDHga+DbxkYiPMHiYHODj6bNXgJ8SC7qIiIiU2OTM+y8A3/AKIiIi\n",
       "Iq15H3HP/Q7gcmCqbxwRERERERERERERERERERERERERERERERERERGRnvL/ATUOMyfjJg8ZAAAA\n",
       "AElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa73fe8c650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dictionary atoms for diag = False\n",
      "Dictionary atoms for diag = True\n",
      "Dictionary atoms for diag = False\n",
      "Dictionary atoms for diag = True\n",
      "Experiment time: 13423 seconds\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/pymodules/python2.7/matplotlib/figure.py:371: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
      "  \"matplotlib is currently using a non-GUI backend, \"\n"
     ]
    }
   ],
   "source": [
    "print('{} = {}'.format(Pname, Pvalues))\n",
    "for key, value in res.items():\n",
    "    if key is not 'atoms_D':\n",
    "        print('res[\\'{}\\'] = {}'.format(key, value))\n",
    "\n",
    "def plot(*args, **kwargs):\n",
    "    plt.figure(figsize=(8,5))\n",
    "    x = range(len(Pvalues))\n",
    "    log = 'log' in kwargs and kwargs['log'] is True\n",
    "    pltfunc = plt.semilogy if log else plt.plot\n",
    "    params = {}\n",
    "    params['linestyle'] = '-'\n",
    "    params['marker'] = '.'\n",
    "    params['markersize'] = 10\n",
    "    for i, var in enumerate(args):\n",
    "        if 'err' in kwargs:\n",
    "            pltfunc = plt.errorbar\n",
    "            params['yerr'] = res[kwargs['err'][i]]\n",
    "            params['capsize'] = 5\n",
    "        pltfunc(x, res[var], label=var, **params)\n",
    "        for i,j in zip(x, res[var]):\n",
    "            plt.annotate('{:.2f}'.format(j), xy=(i,j), xytext=(5,5), textcoords='offset points')\n",
    "    margin = 0.25\n",
    "    params['markersize'] = 10\n",
    "    plt.xlim(-margin, len(Pvalues)-1+margin)\n",
    "    if 'ylim' in kwargs:\n",
    "        plt.ylim(kwargs['ylim'])\n",
    "    plt.title('{} vs {}'.format(', '.join(args), Pname))\n",
    "    plt.xlabel(Pname)\n",
    "    plt.ylabel(' ,'.join(args))\n",
    "    plt.xticks(x, Pvalues)\n",
    "    plt.grid(True); plt.legend(loc='best'); plt.show()\n",
    "\n",
    "def div(l):\n",
    "    div = Pvalues if Pname is l else [p[l]]\n",
    "    return np.array([1 if v is None else v for v in div])\n",
    "\n",
    "# Classification results.\n",
    "res['chance'] = len(Pvalues) * [100./p['Ngenres']]\n",
    "res['chance_std'] = 0\n",
    "err=['accuracy_std', 'baseline_std', 'chance_std']\n",
    "plot('accuracy', 'baseline', 'chance', err=err, ylim=[0,100])\n",
    "\n",
    "# Features extraction results.\n",
    "if regen_features:\n",
    "    plot('objective_g', 'objective_h', 'objective_i', 'objective_j', log=True)\n",
    "    # Unweighted objectives.\n",
    "    print('g(Z) = ||X-DZ||_2^2, h(Z) = ||Z-EX||_2^2, i(Z) = ||Z||_1, j(Z) = tr(Z^TLZ)')\n",
    "    res['objective_g_un'] = res['objective_g'] / div('ld')\n",
    "    res['objective_h_un'] = res['objective_h'] / div('le')\n",
    "    res['objective_i_un'] = res['objective_i'] / div('ls')\n",
    "    res['objective_j_un'] = res['objective_j'] / div('lg')\n",
    "    plot('objective_g_un', 'objective_h_un', 'objective_i_un', 'objective_j_un', log=True)\n",
    "    plot('sparsity', ylim=[0,100])\n",
    "    plot('time_features')\n",
    "    plot('iterations_inner')\n",
    "    plot('iterations_outer')\n",
    "\n",
    "    for i, fig in enumerate(res['atoms_D']):\n",
    "        print('Dictionary atoms for {} = {}'.format(Pname, Pvalues[i]))\n",
    "        fig.show()\n",
    "\n",
    "print('Experiment time: {:.0f} seconds'.format(time.time() - texperiment))"
   ]
  }
 ],
 "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": "2.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}