{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Python27\\lib\\site-packages\\IPython\\extensions\\rmagic.py:693: UserWarning: The rmagic extension in IPython is deprecated in favour of rpy2.ipython. If available, that will be loaded instead.\n",
      "http://rpy.sourceforge.net/\n",
      "  warnings.warn(\"The rmagic extension in IPython is deprecated in favour of \"\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import pandas.rpy.common as com\n",
    "import numpy as np\n",
    "from sklearn.feature_extraction import DictVectorizer\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "%load_ext rmagic\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "%precision 2\n",
    "pd.set_option('display.precision', 3)\n",
    "\n",
    "import ndl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%%R\n",
    "library(ndl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Cues</th>\n",
       "      <th>Outcomes</th>\n",
       "      <th>Frequency</th>\n",
       "      <th>Number</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1 </th>\n",
       "      <td>                 [size, shape, color, 1, exactly1]</td>\n",
       "      <td>  1</td>\n",
       "      <td> 455</td>\n",
       "      <td>  1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 </th>\n",
       "      <td>              [size, shape, color, 1, 2, exactly2]</td>\n",
       "      <td>  2</td>\n",
       "      <td> 205</td>\n",
       "      <td>  2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3 </th>\n",
       "      <td>           [size, shape, color, 1, 2, 3, exactly3]</td>\n",
       "      <td>  3</td>\n",
       "      <td> 107</td>\n",
       "      <td>  3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4 </th>\n",
       "      <td>        [size, shape, color, 1, 2, 3, 4, exactly4]</td>\n",
       "      <td>  4</td>\n",
       "      <td>  60</td>\n",
       "      <td>  4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 </th>\n",
       "      <td>     [size, shape, color, 1, 2, 3, 4, 5, exactly5]</td>\n",
       "      <td>  5</td>\n",
       "      <td>  50</td>\n",
       "      <td>  5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6 </th>\n",
       "      <td>  [size, shape, color, 1, 2, 3, 4, 5, 6, exactly6]</td>\n",
       "      <td>  6</td>\n",
       "      <td>  36</td>\n",
       "      <td>  6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 </th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, exac...</td>\n",
       "      <td>  7</td>\n",
       "      <td>  21</td>\n",
       "      <td>  7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8 </th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, e...</td>\n",
       "      <td>  8</td>\n",
       "      <td>  20</td>\n",
       "      <td>  8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9 </th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td>  9</td>\n",
       "      <td>  13</td>\n",
       "      <td>  9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> 10</td>\n",
       "      <td>  16</td>\n",
       "      <td> 10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> 11</td>\n",
       "      <td>   3</td>\n",
       "      <td> 11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> 12</td>\n",
       "      <td>   4</td>\n",
       "      <td> 12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> 13</td>\n",
       "      <td>   2</td>\n",
       "      <td> 13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> 14</td>\n",
       "      <td>   2</td>\n",
       "      <td> 14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> 15</td>\n",
       "      <td>   4</td>\n",
       "      <td> 15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>15 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                 Cues Outcomes  Frequency  \\\n",
       "1                   [size, shape, color, 1, exactly1]        1        455   \n",
       "2                [size, shape, color, 1, 2, exactly2]        2        205   \n",
       "3             [size, shape, color, 1, 2, 3, exactly3]        3        107   \n",
       "4          [size, shape, color, 1, 2, 3, 4, exactly4]        4         60   \n",
       "5       [size, shape, color, 1, 2, 3, 4, 5, exactly5]        5         50   \n",
       "6    [size, shape, color, 1, 2, 3, 4, 5, 6, exactly6]        6         36   \n",
       "7   [size, shape, color, 1, 2, 3, 4, 5, 6, 7, exac...        7         21   \n",
       "8   [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, e...        8         20   \n",
       "9   [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...        9         13   \n",
       "10  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...       10         16   \n",
       "11  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...       11          3   \n",
       "12  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...       12          4   \n",
       "13  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...       13          2   \n",
       "14  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...       14          2   \n",
       "15  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...       15          4   \n",
       "\n",
       "   Number  \n",
       "1       1  \n",
       "2       2  \n",
       "3       3  \n",
       "4       4  \n",
       "5       5  \n",
       "6       6  \n",
       "7       7  \n",
       "8       8  \n",
       "9       9  \n",
       "10     10  \n",
       "11     11  \n",
       "12     12  \n",
       "13     13  \n",
       "14     14  \n",
       "15     15  \n",
       "\n",
       "[15 rows x 4 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = com.load_data('numbers')\n",
    "data['Cues'] = [x.split('_') for x in data['Cues']]\n",
    "data['Number'] = data['Outcomes']\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def activation(W):\n",
    "    return pd.DataFrame([ndl.activation(c,W) for c in data.Cues],index=data.index)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Singular / plural distinction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Cues</th>\n",
       "      <th>Outcomes</th>\n",
       "      <th>Frequency</th>\n",
       "      <th>Number</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1 </th>\n",
       "      <td>                 [size, shape, color, 1, exactly1]</td>\n",
       "      <td> singular</td>\n",
       "      <td> 455</td>\n",
       "      <td>  1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 </th>\n",
       "      <td>              [size, shape, color, 1, 2, exactly2]</td>\n",
       "      <td>   plural</td>\n",
       "      <td> 205</td>\n",
       "      <td>  2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3 </th>\n",
       "      <td>           [size, shape, color, 1, 2, 3, exactly3]</td>\n",
       "      <td>   plural</td>\n",
       "      <td> 107</td>\n",
       "      <td>  3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4 </th>\n",
       "      <td>        [size, shape, color, 1, 2, 3, 4, exactly4]</td>\n",
       "      <td>   plural</td>\n",
       "      <td>  60</td>\n",
       "      <td>  4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 </th>\n",
       "      <td>     [size, shape, color, 1, 2, 3, 4, 5, exactly5]</td>\n",
       "      <td>   plural</td>\n",
       "      <td>  50</td>\n",
       "      <td>  5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6 </th>\n",
       "      <td>  [size, shape, color, 1, 2, 3, 4, 5, 6, exactly6]</td>\n",
       "      <td>   plural</td>\n",
       "      <td>  36</td>\n",
       "      <td>  6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 </th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, exac...</td>\n",
       "      <td>   plural</td>\n",
       "      <td>  21</td>\n",
       "      <td>  7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8 </th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, e...</td>\n",
       "      <td>   plural</td>\n",
       "      <td>  20</td>\n",
       "      <td>  8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9 </th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td>   plural</td>\n",
       "      <td>  13</td>\n",
       "      <td>  9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td>   plural</td>\n",
       "      <td>  16</td>\n",
       "      <td> 10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td>   plural</td>\n",
       "      <td>   3</td>\n",
       "      <td> 11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td>   plural</td>\n",
       "      <td>   4</td>\n",
       "      <td> 12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td>   plural</td>\n",
       "      <td>   2</td>\n",
       "      <td> 13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td>   plural</td>\n",
       "      <td>   2</td>\n",
       "      <td> 14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td>   plural</td>\n",
       "      <td>   4</td>\n",
       "      <td> 15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>15 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                 Cues  Outcomes  Frequency  \\\n",
       "1                   [size, shape, color, 1, exactly1]  singular        455   \n",
       "2                [size, shape, color, 1, 2, exactly2]    plural        205   \n",
       "3             [size, shape, color, 1, 2, 3, exactly3]    plural        107   \n",
       "4          [size, shape, color, 1, 2, 3, 4, exactly4]    plural         60   \n",
       "5       [size, shape, color, 1, 2, 3, 4, 5, exactly5]    plural         50   \n",
       "6    [size, shape, color, 1, 2, 3, 4, 5, 6, exactly6]    plural         36   \n",
       "7   [size, shape, color, 1, 2, 3, 4, 5, 6, 7, exac...    plural         21   \n",
       "8   [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, e...    plural         20   \n",
       "9   [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...    plural         13   \n",
       "10  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...    plural         16   \n",
       "11  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...    plural          3   \n",
       "12  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...    plural          4   \n",
       "13  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...    plural          2   \n",
       "14  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...    plural          2   \n",
       "15  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...    plural          4   \n",
       "\n",
       "   Number  \n",
       "1       1  \n",
       "2       2  \n",
       "3       3  \n",
       "4       4  \n",
       "5       5  \n",
       "6       6  \n",
       "7       7  \n",
       "8       8  \n",
       "9       9  \n",
       "10     10  \n",
       "11     11  \n",
       "12     12  \n",
       "13     13  \n",
       "14     14  \n",
       "15     15  \n",
       "\n",
       "[15 rows x 4 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['Outcomes'] = 'plural'\n",
    "data['Outcomes'][1] = 'singular'\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>plural</th>\n",
       "      <th>singular</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1 </th>\n",
       "      <td> 0.09</td>\n",
       "      <td> 0.29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 </th>\n",
       "      <td> 0.13</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3 </th>\n",
       "      <td> 0.16</td>\n",
       "      <td> 0.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4 </th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 </th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6 </th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 </th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8 </th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9 </th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td> 0.14</td>\n",
       "      <td> 0.23</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>15 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    plural  singular\n",
       "1     0.09      0.29\n",
       "2     0.13      0.23\n",
       "3     0.16      0.22\n",
       "4     0.14      0.23\n",
       "5     0.14      0.23\n",
       "6     0.14      0.23\n",
       "7     0.14      0.23\n",
       "8     0.14      0.23\n",
       "9     0.14      0.23\n",
       "10    0.14      0.23\n",
       "11    0.14      0.23\n",
       "12    0.14      0.23\n",
       "13    0.14      0.23\n",
       "14    0.14      0.23\n",
       "15    0.14      0.23\n",
       "\n",
       "[15 rows x 2 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "W = ndl.rw(data,M=10)\n",
    "A = activation(W)\n",
    "A"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With these associations, how many of the 15 items will the learner correctly label?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Truth</th>\n",
       "      <th>Prediction</th>\n",
       "      <th>Accurate?</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1 </th>\n",
       "      <td> singular</td>\n",
       "      <td> singular</td>\n",
       "      <td>  True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 </th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3 </th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4 </th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 </th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6 </th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 </th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8 </th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9 </th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>   plural</td>\n",
       "      <td> singular</td>\n",
       "      <td> False</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>15 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       Truth Prediction Accurate?\n",
       "1   singular   singular      True\n",
       "2     plural   singular     False\n",
       "3     plural   singular     False\n",
       "4     plural   singular     False\n",
       "5     plural   singular     False\n",
       "6     plural   singular     False\n",
       "7     plural   singular     False\n",
       "8     plural   singular     False\n",
       "9     plural   singular     False\n",
       "10    plural   singular     False\n",
       "11    plural   singular     False\n",
       "12    plural   singular     False\n",
       "13    plural   singular     False\n",
       "14    plural   singular     False\n",
       "15    plural   singular     False\n",
       "\n",
       "[15 rows x 3 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame([data['Outcomes'], A.idxmax(1), A.idxmax(1) == data['Outcomes']], index = ['Truth', 'Prediction', 'Accurate?']).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.07"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(A.idxmax(1) == data['Outcomes'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "How often are they correct (using relative item frequencies)?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.46"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(sum(data['Frequency'] * (A.idxmax(1) == data['Outcomes']))) / float(sum(data['Frequency']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def accuracy(data, M):\n",
    "    W = ndl.rw(data, M=M)\n",
    "    A = activation(W)\n",
    "    return np.mean(A.idxmax(1) == data['Outcomes'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.00"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "accuracy(data, 10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For a population of 100 learners trying to acquire the number system, what proportion are able to successfully label all 15 items given M trials?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.32"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean([accuracy(data, M=10) == 1 for i in xrange(100)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def population_accuracy(M=10, pop=100):\n",
    "    return np.mean([accuracy(data, M=M) == 1 for i in xrange(pop)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "MAX_TRIALS = 500\n",
    "P = {}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "P['sg / pl'] = [population_accuracy(M=i) for i in xrange(1,MAX_TRIALS)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1789e780>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEdCAYAAAAGpHxPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XlcVOX+B/DPAOOOgqiIgKLsyh4iZhguiLlgYRiavsRd\n",
       "+5lpdu1WNwXNLe3evNq9Ua9CLFO61nW7iFuNa0ou5UIqGlwR0URBEFRgeH5/zOUwwzKgLDMcPu/X\n",
       "ixdzljnne56Z+c4zz3nOcxRCCAEiIpIdE0MHQEREDYMJnohIppjgiYhkigmeiEimmOCJiGSKCZ6I\n",
       "SKaaXII3NTWFr68vPD09MW7cODx8+LBR979ixQqd6QEDBjTo/i5dugQfHx8888wzSEtL01n23nvv\n",
       "oXv37jA3N9eZ//jxY7zyyitwdnZGYGAg/vvf/0rL4uPj4eLiAhcXF2zatKnKfUZFReG7776r/4Mx\n",
       "kOjoaHz00UdP/XwHBwfcu3dP7zrt2rVr0Jg2btyI119/Xe9zDx8+DD8/PyiVykqvX9nnxtfXFy++\n",
       "+GKV+1iyZAl++OEHAMDHH3/c6J8tQ6l4rLV5vZuKJpfg27Rpg7Nnz+L8+fNo0aIFPv30U53lJSUl\n",
       "Dbbv0tJSrFy5UmfesWPHGmx/ALB9+3ZERETg9OnT6Nmzp86yMWPGIDk5udJzvvjiC1hZWSE1NRUL\n",
       "FizA22+/DQC4d+8eli5diuTkZCQnJyMmJga5ubmVnq9QKKBQKOocu1qtrtPzhRCoj8s06nostXn+\n",
       "k+6jLutX99wePXogPj4eEyZMqLSs7HNz9uxZbN++vcrnx8TEYPDgwQCAdevWobCw8IliNISKn/en\n",
       "+fxXPNb6eO8biyaX4LUFBQXh6tWrOHToEIKCgjBmzBh4eHjg8ePHmDJlCry8vODn5weVSgVAUwsa\n",
       "M2YMBg0aBBcXFyxdulTa1l//+ld4enrC09MT69atAwCkp6fD1dUVkydPhoeHB6ZPn46HDx/C19cX\n",
       "kyZNAlBecxNC4E9/+hM8PT3h5eWFb7/9FgCgUqkQHByMiIgIuLu7Y+LEiVUeyy+//ILAwEB4e3sj\n",
       "PDwcubm5SExMxLp16/DPf/5T+uBpCwgIQNeuXSvN37lzJyZPngwAGDt2LA4ePAgA2Lt3L4YNGwYL\n",
       "CwtYWFggJCQESUlJVcZTllhPnz6N4OBg+Pv7Y/jw4bh16xYA4PPPP0dAQAB8fHzw8ssvSzWgqKgo\n",
       "zJ49G4GBgVi0aBGmTJmCefPmYcCAAXB0dNSpWa5ZswYBAQHw9vZGdHR0pTL39PRERkYGoqKipHL9\n",
       "+OOPdeJUq9Xo1asXACA3NxempqY4evQoAGDgwIG4evUqACAlJQWDBg2Co6Mj1q9fLz2/qtddn5de\n",
       "egn+/v7w8PDA559/rrPszTffhIeHB4YOHYrs7GwAwLVr1/DCCy/A398fAwcOxOXLl/Vuf9euXQgM\n",
       "DISfnx9CQkLwxx9/1BhTmR49esDT0xMmJk/3sS775bZ+/XrcvHkTgwYNwpAhQwAA+/btw7PPPotn\n",
       "nnkG48aNQ0FBAQBNbffdd9+Fr68v/P39cebMGQwbNgxOTk6IjY0FAGRlZWHgwIHSL++y10fbzz//\n",
       "jAEDBsDHxwf9+vVDQUEBHj16VO3nOCwsDEOGDMHQoUMRHx8vTYeEhKCwsBBTp05Fv3794Ofnh507\n",
       "dwLQvFfeeusteHp6wtvbGxs2bKjyWAHN+3/JkiU674n33nsPf//735+qbA1GNDHt2rUTQghRXFws\n",
       "wsLCxKeffipUKpVo27atSE9PF0IIsXbtWjFt2jQhhBCXLl0S3bt3F48ePRJxcXHCxsZG3Lt3Tzx8\n",
       "+FB4eHiIU6dOiVOnTglPT09RWFgoHjx4IPr06SPOnj0r0tLShImJiTh58mSl/Vec3rZtmwgJCRGl\n",
       "paXi9u3bonv37iIrK0v8+OOPokOHDiIzM1OUlpaK/v37i6NHj1Y6Lk9PT3H48GEhhBCLFy8W8+fP\n",
       "F0IIER0dLT766KNalUkZDw8PkZmZKU07OjqK7OxssXbtWvHBBx9I85ctWybWrl1baXtRUVHiu+++\n",
       "E0VFRaJ///4iOztbCCHE1q1bxdSpU4UQQty9e1da/y9/+YtYv369EEKIyZMni9GjR4vS0lJpW+PG\n",
       "jRNCCJGSkiKcnJyEEELs3btXzJw5UwghhFqtFqNGjRKHDx+uVOanTp0SISEh0r5yc3MrxTt8+HBx\n",
       "8eJFsWvXLtG3b1+xfPly8ejRI9GzZ08hhBBLliwRzz77rCgqKhLZ2dnCyspKlJSUVPu6V+Tg4CAd\n",
       "771794QQQhQWFgoPDw9pWqFQiG+++UYIIcTSpUvF3LlzhRBCDB48WKSmpgohhDhx4oQYPHiwEELz\n",
       "ulZV9jk5OdLjzz//XCxcuFAIIURcXJy0zeqeWyYqKkps27ZNZ56ZmZnw8/MTgYGBYvv27dU+77vv\n",
       "vqt0zHfu3BEDBw4UhYWFQgghVq1aJZYuXSqt9+mnnwohhFiwYIHw9PQUDx48EHfu3BHW1tZCCM3n\n",
       "cfny5UIIIUpLS0V+fr7Ofh8/fix69eolTp06JYQQIj8/X5SUlOj9HNvZ2UllVXH6nXfeEV9//bVU\n",
       "ni4uLqKgoED84x//EBEREUKtVgshyl9L7WPVnk5PTxd+fn5CCM171NHRUXpOU2Fm6C+YJ1VWgwY0\n",
       "NbSpU6fi2LFjCAgIQI8ePQBomk3mzZsHAHB1dUWPHj1w5coVKBQKDBs2DJaWlgCA8PBwHD16FAqF\n",
       "AuHh4WjdurU0/8iRIwgLC0OPHj0QEBBQY1xHjx7FhAkToFAo0KVLFzz//PP4+eef0b59ewQEBKBb\n",
       "t24AAB8fH6Snp+u03d+/fx/3799HUFAQAGDy5MmIiIgAUH/NFE9KCIHLly/j4sWLGDp0KABNDajs\n",
       "OM6fP4+//OUvuH//Ph48eIDhw4cD0Py8jYiI0PmZW9bm6+7ujtu3bwPQ1Aj37dsnvZYFBQW4evUq\n",
       "7O3tdcrc0dERv//+O+bNm4eRI0di2LBhlWINCgrC4cOHkZaWhnfeeQeff/45nn/+efTt21eKadSo\n",
       "UVAqlbCyskKXLl1w69YtHD16tMrX3cfHp9pyWbdundTEkZGRgdTUVAQEBMDExASvvPIKAGDixIkI\n",
       "Dw9HQUEBjh8/Lr2WAFBUVKS33DMyMjBu3DjcunULRUVF0q+Turp+/TpsbGyQlpaGwYMHw9PTs9bb\n",
       "PnHiBFJSUvDss88C0BxD2WMACAsLAwB4enqioKAAbdu2Rdu2bdGyZUvk5eUhICAAU6dORXFxMV58\n",
       "8UV4e3vrbP/y5cuwsbHBM888A6D8V7G+z3FISAgsLCwAoNL0vn37sGvXLqxduxaA5pzU9evXcfDg\n",
       "QcyZM0f6hVOWB6rTo0cPWFlZ4ZdffsGtW7fg5+dX43OMTZNL8K1bt8bZs2crzW/btq3OdG2SohBC\n",
       "SkTa62vPr7jd6igUikr7LNtGy5YtpXmmpqY1thNqb+dp2gNtbW1x/fp1dOvWDSUlJbh//z6srKxg\n",
       "a2sr/cwFNMmkqqYfbX369MHx48crzY+KisLOnTvh6emJ+Ph4ne22adNGZ90WLVpIj7WP7Z133sHM\n",
       "mTN11k1PT9cpcwsLC5w7dw5JSUn49NNP8e233+KLL77Qec7AgQPxj3/8A1lZWVi6dCnWrFkDlUqF\n",
       "gQMHVhlD2WtQ8TXTft2rolKpcPDgQZw4cQKtWrXCoEGD8OjRo0rrlW2ntLQUlpaWVb5fq/P666/j\n",
       "rbfewqhRo3Do0CGp6epJVTwOGxsbAEDPnj0RHByMs2fPPtGXR0hICL755psql5W9v01MTHTK2cTE\n",
       "BCUlJQgKCsKRI0ewe/duREVF4c0335SaOGtS3ee44uey4vT3338PZ2fnWm+vOtOnT0dcXBxu376N\n",
       "qVOnPtFzjUGTboOvTlBQEDZv3gwAuHLlCq5fvw43NzcIIbB//37k5OTg4cOH2LFjB5577jkEBQVh\n",
       "+/btePjwIQoKCrB9+3YEBQVV+WZQKpVVJuigoCAkJCSgtLQUd+7cweHDhxEQEFCrN1SHDh1gaWkp\n",
       "tU1+9dVXCA4OBvDkb0hAU6OKj48HAGzbtk1qWxw2bBj27duH3Nxc5OTkYP/+/QgNDa1yGwqFAq6u\n",
       "rrhz5w5OnDgBACguLkZKSgoA4MGDB+jatSuKi4vx9ddfP/EXUWhoKL788kupLTczMxN37typtN7d\n",
       "u3dRUlKC8PBwLFu2DGfOnKm0TkBAAI4fPw5TU1O0bNkS3t7eiI2N1UnwVR1fda97dfLy8mBpaYlW\n",
       "rVrh0qVLUrkAmhPw//rXvwAA33zzDYKCgmBubo6ePXti27ZtADSv5blz5/SWS15envQraePGjVWu\n",
       "U9N7ouKvvtzcXDx+/BgAkJ2djWPHjqFPnz56t2Fubo68vDwAQL9+/XDs2DFcu3YNgObXVmpqaq3j\n",
       "un79Ojp37ozp06dj+vTplb7wXF1dkZWVhVOnTgEA8vPzoVar9X6O9e03NDRUp628bH8hISGIjY2V\n",
       "Tv7n5ORUOtaKXnrpJSQlJeHUqVPVflaMWZOrwVeVSCr2+njttdcwZ84ceHl5wczMDPHx8VAqlVAo\n",
       "FAgICMDYsWNx48YNTJo0CX5+fgA0NdKyZoEZM2bA29sb6enplfY3c+ZMeHl54ZlnnsFXX30lLX/p\n",
       "pZfw008/wdvbGwqFAmvWrEGXLl3w22+/VdpGVccQHx+P2bNno7CwEI6OjoiLi6vy2LQtWrQIW7Zs\n",
       "wcOHD2Fvb48ZM2Zg8eLFmDZtGiZNmgRnZ2dYWVlh69atAICOHTvi/fffl5oulixZIv2srYpSqcS2\n",
       "bdswb9483L9/HyUlJViwYAF69+6NZcuWoV+/fujcuTP69euHBw8eVHt8VfUACQkJwW+//Yb+/fsD\n",
       "0HzIyr4otNfPzMzElClTUFpaCgBYtWpVpThbtGiB7t27IzAwEICmRp+QkABPT89qYwIAX1/fKl/3\n",
       "isqeO3z4cHz66afo3bs3XF1dpdgBTQ0yOTkZH3zwAaytrZGQkAAA2Lx5M+bMmYMPPvgAxcXFGD9+\n",
       "PLy8vKqNKTo6GhEREbC0tMTgwYOlLq7a5VLde+Lnn39GeHg4cnJysHv3bkRHR+P8+fNISUnB7Nmz\n",
       "YWJigtLSUrzzzjtwc3Or9HxtM2fOxPDhw2Fra4uDBw9i48aNGD9+vPRFsXz58ko15IpxlT1WqVRY\n",
       "s2YNlEolzM3NK3XPbdGiBRISEvD666/j4cOHaNOmDQ4cOKD3c1xxP9rT77//PubPnw8vLy+Ulpai\n",
       "V69e2LlzJ6ZPn44rV67Ay8sLSqUSM2fOxGuvvVbpWLUplUoMHjwYlpaWTbN3TWM19hsD7RNVzcnX\n",
       "X38thg0b1uD7SUtLEwqFQjqJZWg9evQQBw4caJBtx8XFieeee+6JYjl48KAQQojly5eL6dOnP9V+\n",
       "27VrJ9LS0p7qufq88MILYtOmTfW+3aZOrVYLHx8fcfXqVUOH8lRk2URTnfrq322Mjh49imeffRYW\n",
       "FhawsrLCc889J/3kffXVV7F3714DR/j0Zs2aValLYm0Y0+utHce7775bq+MJDg6udL4hPz8fDg4O\n",
       "dYolOjq6Uht4YmJirdvFm4uUlBQ4Oztj6NChcHR0NHQ4T6XJNdHUxeTJk6X+4XKSl5eHUaNGITY2\n",
       "FuPGjcPjx49x5MgRnZO7xq6kpARmZlW/HZOSkrBkyRKjiKUxGcuXU3PVu3dv6bxDU9WsavByVdZ1\n",
       "7JVXXoFCoUCrVq0QEhIitUFv3LhR5+ShiYkJYmNj4eLiAktLS8ydO1daVlpaioULF6Jz587o1asX\n",
       "NmzYILXdApoLW7TbKauqDZaJi4tD79690b59ezg6OuKzzz6TlqlUKtjZ2eHDDz+EjY0Npk2bVuU2\n",
       "zp07BwsLC+nEo7bo6Gi8/PLLiIyMRPv27fHMM89UexIzKioK77//vs7+7e3tpWkHBwd8+OGH8PLy\n",
       "grm5OdRqNVatWgUnJye0b98effr0qfYK0Kp89dVX6NGjBzp16lRpeAvtMnv06BEmTpyITp06wdLS\n",
       "EgEBAfjjjz/w3nvv4ciRI5g7dy7Mzc2l7oImJib4/fffpWP6v//7P4waNQrt27dHYGCgtAwALl68\n",
       "iJCQEFhZWaFr165YuXIl9u7di5UrVyIhIQHm5uZSN1XtXwtCCHzwwQdwcHCAtbU1Jk+eLJ2ETE9P\n",
       "h4mJCTZt2oQePXqgc+fOlY6PjAcTvAy4urrC1NQUUVFRSEpKknoH6POf//wHp06dwrlz5/Dtt99K\n",
       "TTifffYZkpKS8Ouvv+LMmTPYvn273hNa+mqZ1tbW+M9//oO8vDzExcVhwYIFOj0obt++jZycHFy/\n",
       "fl266rGixMREjBo1qtp97Ny5E+PGjUNOTg4mTJiAF198scohEmrTXLN161bs2bNHuiLWyckJR48e\n",
       "RV5eHpYsWYKJEydK/fj1SUlJwWuvvYbNmzfj5s2buHv3Lm7cuFFlLPHx8cjLy8ONGzdw7949xMbG\n",
       "onXr1li+fDmCgoLwySefID8/v9orKBMSEhAdHY2cnBw4OTnhvffeA6Bpyhk6dChGjBiBrKwsXL16\n",
       "FUOGDEFoaCjeffddREZGIj8/X3o9tGOKi4uTur7+/vvvePDggU4lAND0Ub9y5QoOHjyIpUuX4tKl\n",
       "SzWWCzU+JngZMDc3ly7YmjFjBrp06YIxY8bovcz9z3/+M9q3bw97e3sMGjQIv/76KwDg22+/xfz5\n",
       "89GtWzdYWFjgnXfe0dstT9+yESNGSOPnDBw4EMOGDcORI0ek5SYmJoiJiYFSqUSrVq2q3EZiYiJG\n",
       "jBhR7T78/f0RHh4OU1NTvPnmm3j06JFO98XaxqpQKDBv3jzY2tpKTVsvv/yyNBTEuHHj4OzsjJMn\n",
       "T1a7jTLbtm3D6NGj8dxzz6FFixZYtmyZzvABQqsbY4sWLXD37l2kpqZCoVDA19dXZ/C4mmIODw+H\n",
       "v78/TE1N8eqrr+KXX34BAOzevRvdunXDggUL0KJFC7Rr107qLSSE/ovnNm/ejIULF8LBwQFt27bF\n",
       "ypUrsXXrVulXHKDpgdWyZUt4eXnB29tbev+QcWGClwk3NzfExcUhIyMDFy5cwM2bNzF//vxq19ce\n",
       "w6ZNmzZSN8esrCydpgs7O7unjmnPnj0IDAyElZUVLC0tkZiYiLt370rLO3furHNhTEW5ubm4dOmS\n",
       "zlWTFWnHp1AoYGdnh5s3bz5VvNrHDQCbNm2Cr68vLC0tYWlpiQsXLujEX52srCyduNq0aQMrK6sq\n",
       "1500aRJCQ0MRGRkJW1tbvP322zrXWdT0q8Pa2lp63Lp1a+l1zMjIeOqrYLOysqSrwgGge/fuKCkp\n",
       "0fn1UvH9U3Y9AxkXJngZKhus68KFC0/8XBsbG2RkZEjT2o8BTX9v7Q9z2eBjFT1+/Bhjx47FokWL\n",
       "8McffyAnJwcjRox4oqt09+7diyFDhuhdTzu+0tJS3Lhxo8r2+rZt2+qMGFhV3Nr7+e9//4uZM2fi\n",
       "k08+wb1795CTkwMPD49aXXhWsQwLCwur/WIwMzPD4sWLcfHiRRw/fhy7d++W+onX5SRr9+7dddrj\n",
       "tdU0GFm3bt2Qnp4uTV+/fh1mZmY6XybUNDDBy8Dly5fx17/+FZmZmQA0SW/Lli06F+Loo/2Tfdy4\n",
       "cVi3bh1u3ryJ3NxcrF69WifR+Pj4YOvWrSgpKcGpU6fw3XffVZmIioqKUFRUhE6dOsHExAR79uzB\n",
       "vn37nui4EhMTMXLkSL3rnD59Gv/+979RUlKCjz/+GK1atZIueNLm4+ODxMRE5OTk4NatW5VGpayo\n",
       "oKAACoUCnTp1QmlpKeLi4mr9hfnyyy9j9+7dOHbsGIqKirB48WKd5g1tKpUK58+fh1qthrm5OZRK\n",
       "JUxNTQFoauf6enHo+7IZOXIksrKysG7dOjx+/Bj5+fnS0NLW1tZIT0+v9vnjx4/H3/72N6Snp+PB\n",
       "gwdSm72+L4bafPFR42OClwFzc3OcPHkS/fr1Q7t27dC/f394eXlJN4Wo6cSo9vIZM2Zg2LBh0tW6\n",
       "I0eOhKmpqfThXrZsGa5duwZLS0tER0fj1VdfrbStspj+/ve/Y9y4cejYsSO2bNmCMWPGVLluVYQQ\n",
       "2LdvnzSIWVUUCgXGjBmDhIQEdOzYEZs3b8b3338vJUhtkyZNgre3NxwcHDB8+HBERkbq3X/v3r2x\n",
       "cOFC9O/fH127dsWFCxfw3HPPVVlmVT33k08+wYQJE9CtWzd07NhRp/lH+7m3bt1CREQEOnTogN69\n",
       "eyM4OFjqYfPGG29g27Zt6NixY5XNbVXFoF3++/fvx65du2BjYwMXFxdpvKCywc+srKzg7+9fabtT\n",
       "p07FpEmTMHDgQPTq1Qtt2rTRGWK5uqvJyfgoBL96SY89e/Zgzpw5Oj/ZG0NycjLmzZtX7QlTQHOD\n",
       "iqtXr+Krr75qxMiImo4aa/BTp06FtbW1zrgeFc2bNw/Ozs7w9vZ+opHzyPg8evQIiYmJKCkpQWZm\n",
       "JmJiYhAeHt7ocSgUCsTExOhdh3UTIv1qTPBTpkyp9q4/gKad9OrVq0hNTcVnn32GOXPm1GuA1LiE\n",
       "EIiOjkbHjh3h5+eHPn366Nz5qrH07du3xtH7jGkoAiJjVKsmmvT0dIwePRrnz5+vtGz27NkYNGiQ\n",
       "dLMDNzc3HDp0iGfciYgMrM4nWTMzMyv1m9a+ao+IiAyjXkZUqvgjgGfZiYjqz9Oeb6pzDd7W1lbn\n",
       "oo4bN27A1ta2ynXL+lsbwx9Q/jdkSPljR0eBjRvLp4uK6n/fS5YsMfjxG8sfy4JlwbLQ/1cXdU7w\n",
       "YWFh0pV3J06cgIWFRZNof9ceSVf7Ji4uLsC4cUBkJPDPfwJKZePHRkRUH2psohk/fjwOHTqE7Oxs\n",
       "2NvbIyYmBsXFxQA0N2IYMWIEEhMT4eTkhLZt20q3mjNG9+8DgwYBEyYA7doB/7v7mA5XV6B1a2DL\n",
       "lsaPj4ioPtWY4LfUItNt2LChXoJpaJs3A2fPav4cHICqhgfx8Wn4OMpuqE0sC20si3Isi/rRaFey\n",
       "KhSKOrcn1VVsLDB7tuaxkxNw9WrldW7fBrp0ady4iIiqU5fc2azGomnduvzxvXuVl3t5MbkTkXw0\n",
       "qwSvNVpspQT/2WfAoUONGw8RUUNqVgk+P7/6Zf7+gIVF48VCRNTQZJ/g1WpNW3tpKVDN/ZgBAB06\n",
       "NF5MRESNQfYJfsECwNkZsLMDvv66+vVYeyciuZF9L5rajpBQXAyY1cvADURE9Ye9aJ6Qq2vleUzu\n",
       "RCQ3zTLBv/su4Oio222SiEhuZJ3gq/tV07275sTrBx80bjxERI1J1gn+/v2q55uba/6PGqX5HxDQ\n",
       "OPEQETUm2SX4jAzgo4+AggIgK6vqdcqaZlxcgBs3gMOHGy8+IqLGIrtTiy++CJw5A1y7BoSEVL1O\n",
       "x47lj6sZup6IqMmTXYI/c0bz/7vvgKIi3WWLFgFDhgBduzZ+XEREjU12/eC1+73b2WmaYMokJQGh\n",
       "oQ0eAhFRvWE/eAAlJZr/2kMO3LgBtGhRPs2rVYmoOZFFgk9P15w4XbgQsLLSXaZ9UVOrVo0aFhGR\n",
       "QcmiDf4f/9DU4P/618rt666uwNChwG+/AZ6ehomPiMgQZJHgtWvmubm6y1xcgOXLGzceIiJjIIsm\n",
       "Gu0E/+iR7rKePRs3FiIiYyGLBN+yZfXLOnVqvDiIiIyJLBK8dk+ZiiqedCUiai5kkeCLi6tfxgRP\n",
       "RM2VLBJ8xXZ3bWyiIaLmShYJ/vHj6pdpjztDRNScyCLBV6zBlw0HDPBOTUTUfMkywTs6GiYOIiJj\n",
       "0uQT/PbtwN//rjuvVy/DxEJEZEyafIJ/6SXdaRcXYO1aoF07zdg0RETNVZMfLlh7eOB//hOYPl3T\n",
       "7l5SwvZ3Imr6OFzw/1hblyd1Jnciau5kleD1DVlARNTcyCrBc7x3IqJyTPBERDLFBE9EJFOySvBs\n",
       "gyciKldjgk9KSoKbmxucnZ2xevXqSsuzs7MxfPhw+Pj4wMPDAxs3bmyIOHVkZgIODsDHH+vOZw2e\n",
       "iKic3n7warUarq6uOHDgAGxtbdG3b19s2bIF7u7u0jrR0dF4/PgxVq5ciezsbLi6uuL27dswq9BP\n",
       "sT77wb/1FvDRR5Xn37gB2NrWyy6IiIxCg/WDT05OhpOTExwcHKBUKhEZGYkdO3borGNjY4O8vDwA\n",
       "QF5eHqysrCol9/pW3Q0+TE0bdLdERE2K3kycmZkJe3t7adrOzg4nT57UWWfGjBkYPHgwunXrhvz8\n",
       "fHz77bfVbi86Olp6HBwcjODg4KcKul27qudbWDzV5oiIjIZKpYJKpaqXbelN8ArtcQCqsWLFCvj4\n",
       "+EClUuHatWsICQnBr7/+CnPtMXv/RzvB10XFBK9Uappn2AZPRE1dxcpvTEzMU29LbxONra0tMjIy\n",
       "pOmMjAzY2dnprHP8+HFEREQAABwdHdGzZ09cvnz5qQOqjYpNMV27Al26NOguiYiaHL0J3t/fH6mp\n",
       "qUhPT0dRURESEhIQFhams46bmxsOHDgAALh9+zYuX76MXg08Xm/FOzi1adOguyMiapL0NtGYmZlh\n",
       "w4YNCA0NhVqtxrRp0+Du7o7Y2FgAwKxZs/Duu+9iypQp8Pb2RmlpKT788EN0bOD75FVM8K1bN+ju\n",
       "iIiapCY5XHB0NKDdLPXss8CxY/WyaSIio9LshgtmDZ6IqGaySPDW1oaJg4jImDWp22Lk5ADjxwPn\n",
       "zunOd3U1TDxERMasSSX4ZcuAvXsrz3dxafxYiIiMXZNqorlzp+r5rMETEVXWpBJ8cXHV852dGzcO\n",
       "IqKmoEkn+NWrNe3x1Y1NQ0TUnDXpBO/pqfkjIqLKmnSC5x2ciIiqxwRPRCRTTPBERDLFBE9EJFNN\n",
       "KsEXFelOM8ETEVWvSSX4ijX46u7NSkRETSzBl5ToTrMGT0RUvSaV4NkGT0RUe00qwbMNnoio9ow+\n",
       "wZeWAjdvah4XFOgu440+iIiqZ/QJfupUwNYWSEysnOBNjD56IiLDMfp7sioUmv8hIcD+/eXzTUwA\n",
       "tbqegiMiMlLN4p6sOTm600qlYeIgImoqmkyCv3dPd5oJnohIPyZ4IiKZajIJPjdXd5pXsRIR6ddk\n",
       "EnxFrMHJObJaAAATY0lEQVQTEenHBE9EJFNM8EREMsUET0QkU0zwREQyxQRPRCRTTPBERDLFBE9E\n",
       "JFNNLsH7+Wn+L1pk2DiIiIydUSf4igOorV0LnDoF/PEHMGKEYWIiImoqjHq44JIS3aaYnBzAwqKe\n",
       "AyMiMmKyHS5Y+xZ9v/zC5E5E9CRqTPBJSUlwc3ODs7MzVq9eXeU6KpUKvr6+8PDwQHBwcL0FV5bg\n",
       "27cHvL3rbbNERM2C3iYatVoNV1dXHDhwALa2tujbty+2bNkCd3d3aZ3c3FwMGDAAe/fuhZ2dHbKz\n",
       "s9GpU6fKO3qKnxl//AFYWwOdOgF37jzRU4mIZKHBmmiSk5Ph5OQEBwcHKJVKREZGYseOHTrrfPPN\n",
       "Nxg7dizs7OwAoMrk/rSKizX/OTQwEdGTM9O3MDMzE/b29tK0nZ0dTp48qbNOamoqiouLMWjQIOTn\n",
       "5+ONN97ApEmTqtxedHS09Dg4OLjG5pyyJhomeCJqLlQqFVQqVb1sS2+CV5Td8VqP4uJinDlzBgcP\n",
       "HkRhYSH69++PwMBAODs7V1pXO8HXxpQpmv9M8ETUXFSs/MbExDz1tvQmeFtbW2RkZEjTGRkZUlNM\n",
       "GXt7e3Tq1AmtW7dG69atMXDgQPz6669VJvgnUVwMHDqkefzwYZ02RUTULOltg/f390dqairS09NR\n",
       "VFSEhIQEhIWF6awzZswYHD16FGq1GoWFhTh58iR69+5d58Du3y9/fPdunTdHRNTs6K3Bm5mZYcOG\n",
       "DQgNDYVarca0adPg7u6O2NhYAMCsWbPg5uaG4cOHw8vLCyYmJpgxY0a9J/jCwjpvjoio2THKK1lL\n",
       "S4HFi4Hly8vnNU6URETGpS7dJI0ywcfFAVOn6s5jgiei5kh2QxUcOGDoCIiImj6jTPDsFklEVHdN\n",
       "IsH/5z+GiYOIqCkzygT/6FH547lzOfY7EdHTMMoEr93vvaDAcHEQETVlRpfgT5zQbZJhH3gioqdj\n",
       "dAl+2DDd6YkTDRMHEVFTZ3T94LXHN1OpgIEDdecRETUnsrrQqVcvIC1N87i4GDDTO5gCEZG8yepC\n",
       "p7La+pdfMrkTEdWF0dXgrayAe/c0t+vr3LkRAiMiMmKyaaIRAlAqAbUaePyYV7QSEcmmiaagQJPc\n",
       "W7dmciciqiujSvBlY8B36GDYOIiI5MAoE7yFhWHjICKSA6NK8Lm5mv+swRMR1Z1RJXg20RAR1R+j\n",
       "SvB5eZr/7dsbNg4iIjkwqgT/+LHmf6tWho2DiEgOjCrBFxVp/rOLJBFR3RlVgi+rwbdsadg4iIjk\n",
       "wKgSPGvwRET1xygTPGvwRER116gJ/vnngZyc6peXNdGwBk9EVHeNmuAPHwZWrap+OZtoiIjqT6M3\n",
       "0ei7xyqbaIiI6o9RtcGziYaIqP4YVYJnDZ6IqP4YVYJnDZ6IqP4YVYJnDZ6IqP4YZYJnDZ6IqO6M\n",
       "KsGziYaIqP4YLMELAYSHA5Mmlc9jEw0RUf0xWIIvLAT+/W/g6681yR5gEw0RUX2qMcEnJSXBzc0N\n",
       "zs7OWL16dbXr/fzzzzAzM8P3339fqx2r1eWPb90CJk8GfvhBM80aPBFR3elN8Gq1GnPnzkVSUhJS\n",
       "UlKwZcsW/Pbbb1Wu9/bbb2P48OEQZdXxGhQXlz/esgXYtKl8mjV4IqK605vgk5OT4eTkBAcHByiV\n",
       "SkRGRmLHjh2V1lu/fj1efvlldO7cudY7Likpf3z5su4y1uCJiOpOb4LPzMyEvb29NG1nZ4fMzMxK\n",
       "6+zYsQNz5swBACgUilrtWLsGn5qqu4w1eCKiujPTt7A2yXr+/PlYtWoVFAoFhBA1NNFEIzkZiI4G\n",
       "XF2DAQQDAK5e1V2LCZ6ImiuVSgWVSlUv29Kb4G1tbZGRkSFNZ2RkwM7OTmed06dPIzIyEgCQnZ2N\n",
       "PXv2QKlUIiwsrIotRiMgQJPgr1wpn6u1CwBsoiGi5is4OBjBwcHSdExMzFNvS2+C9/f3R2pqKtLT\n",
       "09GtWzckJCRgy5YtOuv8/vvv0uMpU6Zg9OjR1SR3XdpNNBWxBk9EVHd6E7yZmRk2bNiA0NBQqNVq\n",
       "TJs2De7u7oiNjQUAzJo166l3rH2StSLW4ImI6k4hatuvsa47UigACMydC6xfD5w6BfTtW/W6hYVA\n",
       "69aNERURkXErO7/5NAx2JWvFJpojR8ofs4mGiKjujCbBu7uXPzY1bdxYiIjkSG8bfEOqmOA7dgRy\n",
       "cw0TCxGRHBkswVc8yapQAB06GCYWIiI5MpomGiIiql9M8EREMmUUCf70aUNFQUQkXwZP8OPHA35+\n",
       "hoqCiEi+DJbgy06yKpWGioCISN4MXoNngiciahgGT/BmBuuoSUQkbwZP8KzBExE1DLbBExHJVKMn\n",
       "+D17NEMSsAZPRNSwGj3BX7sGDB3KBE9E1NAM0kRz+jQTPBFRQzP4SVb2oiEiahg8yUpEJFMGr8Ez\n",
       "wRMRNQwmeCIimTJYgv/kE81/JngiooZhsARfhidZiYgahsETPGvwREQNw+AJ3tTU0BEQEcmTwRN8\n",
       "VpahIyAikieDJ/jSUkNHQEQkTwZN8JGRwKxZhoyAiEi+FEII0Sg7UigAlO+qUyfgzp3G2DMRUdOl\n",
       "UCjwtGnaYDV4do8kImpYBkvw7D1DRNSwmOCJiGSKCZ6ISKaY4ImIZIonWYmIZIo1eCIimWKCJyKS\n",
       "qVol+KSkJLi5ucHZ2RmrV6+utHzz5s3w9vaGl5cXBgwYgHPnztW4TSZ4IqKGVWNLuFqtxty5c3Hg\n",
       "wAHY2tqib9++CAsLg7u7u7ROr169cPjwYXTo0AFJSUmYOXMmTpw4oXe7TPBERA2rxhp8cnIynJyc\n",
       "4ODgAKVSicjISOzYsUNnnf79+6NDhw4AgH79+uHGjRs17pgnWYmIGlaNaTYzMxP29vbStJ2dHU6e\n",
       "PFnt+l988QVGjBhRzdJo6dGDB8EAgmsXJRFRM6FSqaBSqeplWzUmeM0gYbXz448/4ssvv8SxY8eq\n",
       "WSNaetSxY603S0TUbAQHByM4OFiajomJeept1ZjgbW1tkZGRIU1nZGTAzs6u0nrnzp3DjBkzkJSU\n",
       "BEtLyxp3zDZ4IqKGVWMbvL+/P1JTU5Geno6ioiIkJCQgLCxMZ53r168jPDwcX3/9NZycnGq1YyZ4\n",
       "IqKGVWMN3szMDBs2bEBoaCjUajWmTZsGd3d3xMbGAgBmzZqFpUuXIicnB3PmzAEAKJVKJCcn17Dd\n",
       "eoieiIiqZbAbfowcCeze3Rh7JiJquprkDT/YRENE1LCY4ImIZIoJnohIpjhcMBGRTLEGT0QkUwZL\n",
       "8E9wgSwRET0FgyV4IiJqWEzwREQyxSYaIiKZYoInIpIpNtEQEckUEzwRkUwxwRMRyRTb4ImIZIoJ\n",
       "nohIpthEQ0QkU6zBExHJFGvwREQyxQRPRCRTbKIhIpIpJngiIpliEw0RkUwxwRMRyRSbaIiIZIoJ\n",
       "nohIpthEQ0QkU0zwREQyxQRPRCRTbIMnIpIpJngiIpliEw0RkUwxwRMRyZRCCCEaZUcKBYDyXV24\n",
       "APTp0xh7JiJquhQKBZ42TZvVcyy1UlgItG5tiD0TETUfBqnBN84eiYiavrrU4Gtsg09KSoKbmxuc\n",
       "nZ2xevXqKteZN28enJ2d4e3tjbNnzz5VIM2JSqUydAhGg2VRjmVRjmVRP/QmeLVajblz5yIpKQkp\n",
       "KSnYsmULfvvtN511EhMTcfXqVaSmpuKzzz7DnDlzGjRgOeCbtxzLohzLohzLon7oTfDJyclwcnKC\n",
       "g4MDlEolIiMjsWPHDp11du7cicmTJwMA+vXrh9zcXNy+fbvhIiYiolrRm+AzMzNhb28vTdvZ2SEz\n",
       "M7PGdW7cuFHPYRIR0ZPS24tGUcvLTSueAKj+eYr/La/VZmUtJibG0CEYDZZFOZZFOZZF3elN8La2\n",
       "tsjIyJCmMzIyYGdnp3edGzduwNbWttK2GqmzDhER/Y/eJhp/f3+kpqYiPT0dRUVFSEhIQFhYmM46\n",
       "YWFh2LRpEwDgxIkTsLCwgLW1dcNFTEREtaK3Bm9mZoYNGzYgNDQUarUa06ZNg7u7O2JjYwEAs2bN\n",
       "wogRI5CYmAgnJye0bdsWcXFxjRI4ERHVQDSwPXv2CFdXV+Hk5CRWrVrV0LszuClTpoguXboIDw8P\n",
       "ad7du3fF0KFDhbOzswgJCRE5OTnSshUrVggnJyfh6uoq9u7da4iQG8z169dFcHCw6N27t+jTp49Y\n",
       "t26dEKJ5lsfDhw9FQECA8Pb2Fu7u7uLPf/6zEKJ5lkWZkpIS4ePjI0aNGiWEaL5l0aNHD+Hp6Sl8\n",
       "fHxE3759hRD1VxYNmuBLSkqEo6OjSEtLE0VFRcLb21ukpKQ05C4N7vDhw+LMmTM6Cf5Pf/qTWL16\n",
       "tRBCiFWrVom3335bCCHExYsXhbe3tygqKhJpaWnC0dFRqNVqg8TdELKyssTZs2eFEELk5+cLFxcX\n",
       "kZKS0mzLo6CgQAghRHFxsejXr584cuRIsy0LIYT46KOPxIQJE8To0aOFEM33c+Lg4CDu3r2rM6++\n",
       "yqJBE/zx48dFaGioNL1y5UqxcuXKhtylUUhLS9NJ8K6uruLWrVtCCE3Sc3V1FUJovom1f9WEhoaK\n",
       "n376qXGDbURjxowR+/fvb/blUVBQIPz9/cWFCxeabVlkZGSIIUOGiB9++EGqwTfXsnBwcBDZ2dk6\n",
       "8+qrLBp0uODa9KNvDm7fvi2deLa2tpYuBLt586ZOryQ5l096ejrOnj2Lfv36NdvyKC0thY+PD6yt\n",
       "rTFo0CD06dOn2ZbFggULsGbNGpiYlKeg5loWCoUCQ4cOhb+/Pz7//HMA9VcWDTqaZG370TcnCoVC\n",
       "b7nIscwePHiAsWPHYt26dTA3N9dZ1pzKw8TEBL/88gvu37+P0NBQ/PjjjzrLm0tZ7N69G126dIGv\n",
       "r2+1QxI0l7IAgGPHjsHGxgZ37txBSEgI3NzcdJbXpSwatAZfm370zYG1tTVu3boFAMjKykKXLl0A\n",
       "1P4agqasuLgYY8eOxaRJk/Diiy8CaN7lAQAdOnTAyJEjcfr06WZZFsePH8fOnTvRs2dPjB8/Hj/8\n",
       "8AMmTZrULMsCAGxsbAAAnTt3xksvvYTk5OR6K4sGTfC16UffHISFhSE+Ph4AEB8fLyW6sLAwbN26\n",
       "FUVFRUhLS0NqaioCAgIMGWq9EkJg2rRp6N27N+bPny/Nb47lkZ2djdzcXADAw4cPsX//fvj6+jbL\n",
       "slixYgUyMjKQlpaGrVu3YvDgwfjqq6+aZVkUFhYiPz8fAFBQUIB9+/bB09Oz/sqi/k8Z6EpMTBQu\n",
       "Li7C0dFRrFixoqF3Z3CRkZHCxsZGKJVKYWdnJ7788ktx9+5dMWTIkCq7PC1fvlw4OjoKV1dXkZSU\n",
       "ZMDI69+RI0eEQqEQ3t7ewsfHR/j4+Ig9e/Y0y/I4d+6c8PX1Fd7e3sLT01N8+OGHQgjRLMtCm0ql\n",
       "knrRNMey+P3334W3t7fw9vYWffr0kXJkfZVFo93wg4iIGhdvuk1EJFNM8EREMsUET0QkU0zwREQy\n",
       "xQRPBnf37l34+vrC19cXNjY2sLOzg6+vL/z8/FBSUgIA2LVrV7U3fS+zceNGvP7661XONzU1xfnz\n",
       "56V5Hh4euH79er3E365du3rZDlF9a9ArWYlqw8rKCmfPngWguYuPubk53nzzTWm5Wq3G6NGjMXr0\n",
       "aL3b0XdFn52dHZYvX46tW7fWuO6Tqsu21Go1TE1N6y0WIm2swZPREUIgKioKs2fPRmBgIBYtWoT4\n",
       "+Hipdr5r1y4EBgbCz88PISEh+OOPP/RuT6FQYNSoUbh48SKuXLlSabl2DXzbtm2YMmUKACAqKgqv\n",
       "vfYa+vfvD0dHR6hUKkyePBm9e/eW1inz5ptvwsPDA0OHDkV2djYA4Nq1a3jhhRfg7++PgQMH4vLl\n",
       "y9J2y47t7bfffvqCIqoBEzwZJYVCgZs3b+Knn37CRx99pLMsKCgIJ06cwJkzZ/DKK6/gww8/BKD/\n",
       "tpAmJiZYtGgRVqxYUeW+qnoMALm5ufjpp5/wt7/9DWFhYVi0aBEuXryI8+fP49y5cwA0VyD27dsX\n",
       "Fy5cwPPPPy/dS3TmzJlYv349Tp06hTVr1uC1116Ttlt2bGvXrn3CkiGqPTbRkNGKiIiosvkjIyMD\n",
       "48aNw61bt1BUVIRevXrVansTJkzA8uXLkZ6eXqv1FQqF1Czk4eGBrl27ok+fPgCAPn36ID09HV5e\n",
       "XjAxMcErr7wCAJg4cSLCw8NRUFCA48ePIyIiQtpeUVGRtN3qjo2oPjHBk9Fq06ZNlfNff/11vPXW\n",
       "Wxg1ahQOHTqE6OjoWm3P1NQUCxcuxKpVq3Tmayfahw8f6ixr0aIFAM0vgJYtW0rzTUxMpBPA2oQQ\n",
       "UCgUKC0thaWlpXRuobbHRlSf2ERDTYJ280teXh66desGQNND5kmeGxUVhQMHDuDOnTvSPGtra1y6\n",
       "dAmlpaX497///cQ169LSUvzrX/8CAHzzzTcICgqCubk5evbsiW3btkkxlDXpEDUWJngyWhXbxsum\n",
       "o6OjERERAX9/f3Tu3FmaX9242drzlUol3njjDZ0Ev2rVKowaNQoDBgyQvjiqi6Eqbdu2RXJyMjw9\n",
       "PaFSqbB48WIAwObNm/HFF1/Ax8cHHh4e2LlzZ43bIqpPHGyMiEimWIMnIpIpJngiIpligicikikm\n",
       "eCIimWKCJyKSKSZ4IiKZ+n8lODhAYzOXnAAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17766a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(range(1,len(P['sg / pl'])+1), P['sg / pl'], '-', linewidth=2)\n",
    "plt.title('Singular / plural distinction')\n",
    "plt.xlabel('Trial Number')\n",
    "plt.suptitle('Proportion of 100 learners who label all 15 items correctly')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dual / non-dual distinction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Cues</th>\n",
       "      <th>Outcomes</th>\n",
       "      <th>Frequency</th>\n",
       "      <th>Number</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1 </th>\n",
       "      <td>                 [size, shape, color, 1, exactly1]</td>\n",
       "      <td> notdual</td>\n",
       "      <td> 455</td>\n",
       "      <td>  1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 </th>\n",
       "      <td>              [size, shape, color, 1, 2, exactly2]</td>\n",
       "      <td>    dual</td>\n",
       "      <td> 205</td>\n",
       "      <td>  2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3 </th>\n",
       "      <td>           [size, shape, color, 1, 2, 3, exactly3]</td>\n",
       "      <td> notdual</td>\n",
       "      <td> 107</td>\n",
       "      <td>  3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4 </th>\n",
       "      <td>        [size, shape, color, 1, 2, 3, 4, exactly4]</td>\n",
       "      <td> notdual</td>\n",
       "      <td>  60</td>\n",
       "      <td>  4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 </th>\n",
       "      <td>     [size, shape, color, 1, 2, 3, 4, 5, exactly5]</td>\n",
       "      <td> notdual</td>\n",
       "      <td>  50</td>\n",
       "      <td>  5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6 </th>\n",
       "      <td>  [size, shape, color, 1, 2, 3, 4, 5, 6, exactly6]</td>\n",
       "      <td> notdual</td>\n",
       "      <td>  36</td>\n",
       "      <td>  6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 </th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, exac...</td>\n",
       "      <td> notdual</td>\n",
       "      <td>  21</td>\n",
       "      <td>  7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8 </th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, e...</td>\n",
       "      <td> notdual</td>\n",
       "      <td>  20</td>\n",
       "      <td>  8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9 </th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> notdual</td>\n",
       "      <td>  13</td>\n",
       "      <td>  9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> notdual</td>\n",
       "      <td>  16</td>\n",
       "      <td> 10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> notdual</td>\n",
       "      <td>   3</td>\n",
       "      <td> 11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> notdual</td>\n",
       "      <td>   4</td>\n",
       "      <td> 12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> notdual</td>\n",
       "      <td>   2</td>\n",
       "      <td> 13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> notdual</td>\n",
       "      <td>   2</td>\n",
       "      <td> 14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td> [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...</td>\n",
       "      <td> notdual</td>\n",
       "      <td>   4</td>\n",
       "      <td> 15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>15 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                 Cues Outcomes  Frequency  \\\n",
       "1                   [size, shape, color, 1, exactly1]  notdual        455   \n",
       "2                [size, shape, color, 1, 2, exactly2]     dual        205   \n",
       "3             [size, shape, color, 1, 2, 3, exactly3]  notdual        107   \n",
       "4          [size, shape, color, 1, 2, 3, 4, exactly4]  notdual         60   \n",
       "5       [size, shape, color, 1, 2, 3, 4, 5, exactly5]  notdual         50   \n",
       "6    [size, shape, color, 1, 2, 3, 4, 5, 6, exactly6]  notdual         36   \n",
       "7   [size, shape, color, 1, 2, 3, 4, 5, 6, 7, exac...  notdual         21   \n",
       "8   [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, e...  notdual         20   \n",
       "9   [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...  notdual         13   \n",
       "10  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...  notdual         16   \n",
       "11  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...  notdual          3   \n",
       "12  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...  notdual          4   \n",
       "13  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...  notdual          2   \n",
       "14  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...  notdual          2   \n",
       "15  [size, shape, color, 1, 2, 3, 4, 5, 6, 7, 8, 9...  notdual          4   \n",
       "\n",
       "   Number  \n",
       "1       1  \n",
       "2       2  \n",
       "3       3  \n",
       "4       4  \n",
       "5       5  \n",
       "6       6  \n",
       "7       7  \n",
       "8       8  \n",
       "9       9  \n",
       "10     10  \n",
       "11     11  \n",
       "12     12  \n",
       "13     13  \n",
       "14     14  \n",
       "15     15  \n",
       "\n",
       "[15 rows x 4 columns]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['Outcomes'] = 'notdual'\n",
    "data['Outcomes'][2] = 'dual'\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "P['du / non-du'] = [population_accuracy(M=i) for i in xrange(1,MAX_TRIALS)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x178b8c88>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEdCAYAAAAGpHxPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XdYVFfeB/DvDEVBEbChUpUmShcBNRgsCDGKUYNRoyuK\n",
       "JWbtSTSJG0UTW9TduPrsaoxR1tgiSexBoxE7Yu8FCy8IiKJ0kDJz3j9upjGFNkz9fZ6HZ26be8/c\n",
       "Yb5z5tx7z+UxxhgIIYQYHL62C0AIIaRpUMATQoiBooAnhBADRQFPCCEGigKeEEIMFAU8IYQYKL0L\n",
       "eBMTEwQEBMDHxwejRo1CeXm5Rre/fPlymfE+ffo06fbu378Pf39/9OjRA0+fPpWZt3DhQjg5OcHK\n",
       "ykpmekVFBT744AO4u7sjNDQU//d//yeel5CQAA8PD3h4eOB///ufwm3Gxsbil19+Uf+L0ZL4+His\n",
       "Xbu2wc93cXHB69evVS7TsmXLJi3Ttm3bMHPmTJXPPX36NAIDA2FmZib3/ok+NwEBAXjvvfcUbmPx\n",
       "4sX4888/AQDfffedxj9b2lLztdbl/dYXehfwlpaWuHbtGm7dugVzc3Ns3LhRZn51dXWTbVsoFGLF\n",
       "ihUy086dO9dk2wOAffv2ISYmBleuXEHnzp1l5g0bNgypqalyz9myZQvatGmDtLQ0zJ07FwsWLAAA\n",
       "vH79GkuXLkVqaipSU1OxZMkSFBQUyD2fx+OBx+M1uuwCgaBRz2eMQR2XaTT2tdTl+fXdRmOWV/Zc\n",
       "Z2dnJCQkYOzYsXLzRJ+ba9euYd++fQqfv2TJEvTv3x8AsG7dOpSVldWrjNpQ8/PekM9/zdeqjv99\n",
       "XaF3AS8tLCwMjx49wqlTpxAWFoZhw4bB29sbFRUVmDhxInx9fREYGIjk5GQAXC1o2LBh6NevHzw8\n",
       "PLB06VLxuv75z3/Cx8cHPj4+WLduHQAgPT0dnp6emDBhAry9vTF58mSUl5cjICAA48ePByCpuTHG\n",
       "8Nlnn8HHxwe+vr74+eefAQDJyckIDw9HTEwMvLy8MG7cOIWv5fr16wgNDYWfnx9GjBiBgoICHDly\n",
       "BOvWrcN///tf8QdPWnBwMDp06CA3/cCBA5gwYQIAYOTIkThx4gQA4OjRoxg0aBBsbGxgY2ODiIgI\n",
       "JCUlKSyPKFivXLmC8PBwBAUFISoqCs+fPwcAbN68GcHBwfD398f7778vrgHFxsbio48+QmhoKObP\n",
       "n4+JEydi1qxZ6NOnD1xdXWVqlqtXr0ZwcDD8/PwQHx8vt899fHyQmZmJ2NhY8X797rvvZMopEAjQ\n",
       "pUsXAEBBQQFMTExw9uxZAEDfvn3x6NEjAMDdu3fRr18/uLq6Yv369eLnK3rfVRk+fDiCgoLg7e2N\n",
       "zZs3y8ybN28evL29MXDgQOTl5QEAHj9+jHfeeQdBQUHo27cvHjx4oHL9Bw8eRGhoKAIDAxEREYEX\n",
       "L17UWiYRZ2dn+Pj4gM9v2Mda9Mtt/fr1yM7ORr9+/TBgwAAAwLFjx9C7d2/06NEDo0aNQmlpKQCu\n",
       "tvvll18iICAAQUFBuHr1KgYNGgQ3Nzds2rQJAJCTk4O+ffuKf3mL3h9ply5dQp8+feDv74+QkBCU\n",
       "lpbizZs3Sj/H0dHRGDBgAAYOHIiEhATxeEREBMrKyjBp0iSEhIQgMDAQBw4cAMD9r3z66afw8fGB\n",
       "n58fNmzYoPC1Atz//+LFi2X+JxYuXIh///vfDdq3WsP0TMuWLRljjFVVVbHo6Gi2ceNGlpyczFq0\n",
       "aMHS09MZY4ytWbOGxcXFMcYYu3//PnNycmJv3rxhW7duZR07dmSvX79m5eXlzNvbm12+fJldvnyZ\n",
       "+fj4sLKyMlZSUsK6d+/Orl27xp4+fcr4fD67ePGi3PZrjicmJrKIiAgmFApZbm4uc3JyYjk5Oezk\n",
       "yZPM2tqaZWVlMaFQyHr16sXOnj0r97p8fHzY6dOnGWOMLVq0iM2ZM4cxxlh8fDxbu3ZtnfaJiLe3\n",
       "N8vKyhKPu7q6sry8PLZmzRr2zTffiKd//fXXbM2aNXLri42NZb/88gurrKxkvXr1Ynl5eYwxxnbv\n",
       "3s0mTZrEGGPs1atX4uX/8Y9/sPXr1zPGGJswYQIbOnQoEwqF4nWNGjWKMcbY3bt3mZubG2OMsaNH\n",
       "j7KpU6cyxhgTCARsyJAh7PTp03L7/PLlyywiIkK8rYKCArnyRkVFsTt37rCDBw+ynj17smXLlrE3\n",
       "b96wzp07M8YYW7x4MevduzerrKxkeXl5rE2bNqy6ulrp+16Ti4uL+PW+fv2aMcZYWVkZ8/b2Fo/z\n",
       "eDy2c+dOxhhjS5cuZTNmzGCMMda/f3+WlpbGGGMsJSWF9e/fnzHGva+K9n1+fr54ePPmzeyTTz5h\n",
       "jDG2detW8TqVPVckNjaWJSYmykwzNTVlgYGBLDQ0lO3bt0/p83755Re51/zy5UvWt29fVlZWxhhj\n",
       "bOXKlWzp0qXi5TZu3MgYY2zu3LnMx8eHlZSUsJcvXzI7OzvGGPd5XLZsGWOMMaFQyIqLi2W2W1FR\n",
       "wbp06cIuX77MGGOsuLiYVVdXq/wcOzg4iPdVzfEvvviC/fTTT+L96eHhwUpLS9l//vMfFhMTwwQC\n",
       "AWNM8l5Kv1bp8fT0dBYYGMgY4/5HXV1dxc/RF6ba/oKpL1ENGuBqaJMmTcK5c+cQHBwMZ2dnAFyz\n",
       "yaxZswAAnp6ecHZ2xsOHD8Hj8TBo0CDY2toCAEaMGIGzZ8+Cx+NhxIgRsLCwEE8/c+YMoqOj4ezs\n",
       "jODg4FrLdfbsWYwdOxY8Hg/t27fH22+/jUuXLqFVq1YIDg5Gp06dAAD+/v5IT0+XabsvLCxEYWEh\n",
       "wsLCAAATJkxATEwMAPU1U9QXYwwPHjzAnTt3MHDgQABcDUj0Om7duoV//OMfKCwsRElJCaKiogBw\n",
       "P29jYmJkfuaK2ny9vLyQm5sLgKsRHjt2TPxelpaW4tGjR3B0dJTZ566urnjy5AlmzZqFd999F4MG\n",
       "DZIra1hYGE6fPo2nT5/iiy++wObNm/H222+jZ8+e4jINGTIEZmZmaNOmDdq3b4/nz5/j7NmzCt93\n",
       "f39/pftl3bp14iaOzMxMpKWlITg4GHw+Hx988AEAYNy4cRgxYgRKS0tx/vx58XsJAJWVlSr3e2Zm\n",
       "JkaNGoXnz5+jsrJS/OuksTIyMtCxY0c8ffoU/fv3h4+PT53XnZKSgrt376J3794AuNcgGgaA6Oho\n",
       "AICPjw9KS0vRokULtGjRAs2aNUNRURGCg4MxadIkVFVV4b333oOfn5/M+h88eICOHTuiR48eACS/\n",
       "ilV9jiMiImBjYwMAcuPHjh3DwYMHsWbNGgDcMamMjAycOHEC06dPF//CEeWAMs7OzmjTpg2uX7+O\n",
       "58+fIzAwsNbn6Bq9C3gLCwtcu3ZNbnqLFi1kxusSiowxcRBJLy89veZ6leHxeHLbFK2jWbNm4mkm\n",
       "Jia1thNKr6ch7YH29vbIyMhAp06dUF1djcLCQrRp0wb29vbin7kAFyaKmn6kde/eHefPn5ebHhsb\n",
       "iwMHDsDHxwcJCQky67W0tJRZ1tzcXDws/dq++OILTJ06VWbZ9PR0mX1uY2ODmzdvIikpCRs3bsTP\n",
       "P/+MLVu2yDynb9+++M9//oOcnBwsXboUq1evRnJyMvr27auwDKL3oOZ7Jv2+K5KcnIwTJ04gJSUF\n",
       "zZs3R79+/fDmzRu55UTrEQqFsLW1Vfj/qszMmTPx6aefYsiQITh16pS46aq+ar6Ojh07AgA6d+6M\n",
       "8PBwXLt2rV5fHhEREdi5c6fCeaL/bz6fL7Of+Xw+qqurERYWhjNnzuDQoUOIjY3FvHnzxE2ctVH2\n",
       "Oa75uaw5/uuvv8Ld3b3O61Nm8uTJ2Lp1K3JzczFp0qR6PVcX6HUbvDJhYWHYsWMHAODhw4fIyMhA\n",
       "165dwRjDH3/8gfz8fJSXl2P//v146623EBYWhn379qG8vBylpaXYt28fwsLCFP4zmJmZKQzosLAw\n",
       "7NmzB0KhEC9fvsTp06cRHBxcp38oa2tr2Nraitsmt2/fjvDwcAD1/4cEuBpVQkICACAxMVHctjho\n",
       "0CAcO3YMBQUFyM/Pxx9//IHIyEiF6+DxePD09MTLly+RkpICAKiqqsLdu3cBACUlJejQoQOqqqrw\n",
       "008/1fuLKDIyEj/++KO4LTcrKwsvX76UW+7Vq1eorq7GiBEj8PXXX+Pq1atyywQHB+P8+fMwMTFB\n",
       "s2bN4Ofnh02bNskEvKLXp+x9V6aoqAi2trZo3rw57t+/L94vAHcAfu/evQCAnTt3IiwsDFZWVujc\n",
       "uTMSExMBcO/lzZs3Ve6XoqIi8a+kbdu2KVymtv+Jmr/6CgoKUFFRAQDIy8vDuXPn0L17d5XrsLKy\n",
       "QlFREQAgJCQE586dw+PHjwFwv7bS0tLqXK6MjAy0a9cOkydPxuTJk+W+8Dw9PZGTk4PLly8DAIqL\n",
       "iyEQCFR+jlVtNzIyUqatXLS9iIgIbNq0SXzwPz8/X+611jR8+HAkJSXh8uXLSj8rukzvavCKgqTm\n",
       "WR8ff/wxpk+fDl9fX5iamiIhIQFmZmbg8XgIDg7GyJEj8ezZM4wfPx6BgYEAuBqpqFlgypQp8PPz\n",
       "Q3p6utz2pk6dCl9fX/To0QPbt28Xzx8+fDguXLgAPz8/8Hg8rF69Gu3bt8e9e/fk1qHoNSQkJOCj\n",
       "jz5CWVkZXF1dsXXrVoWvTdr8+fOxa9culJeXw9HREVOmTMGiRYsQFxeH8ePHw93dHW3atMHu3bsB\n",
       "AK1bt8ZXX30lbrpYvHix+GetImZmZkhMTMSsWbNQWFiI6upqzJ07F926dcPXX3+NkJAQtGvXDiEh\n",
       "ISgpKVH6+hSdARIREYF79+6hV69eALgPmeiLQnr5rKwsTJw4EUKhEACwcuVKuXKam5vDyckJoaGh\n",
       "ALga/Z49e+Dj46O0TAAQEBCg8H2vSfTcqKgobNy4Ed26dYOnp6e47ABXg0xNTcU333wDOzs77Nmz\n",
       "BwCwY8cOTJ8+Hd988w2qqqowZswY+Pr6Ki1TfHw8YmJiYGtri/79+4tPcZXeL8r+Jy5duoQRI0Yg\n",
       "Pz8fhw4dQnx8PG7duoW7d+/io48+Ap/Ph1AoxBdffIGuXbvKPV/a1KlTERUVBXt7e5w4cQLbtm3D\n",
       "mDFjxF8Uy5Ytk6sh1yyXaDg5ORmrV6+GmZkZrKys5E7PNTc3x549ezBz5kyUl5fD0tISx48fV/k5\n",
       "rrkd6fGvvvoKc+bMga+vL4RCIbp06YIDBw5g8uTJePjwIXx9fWFmZoapU6fi448/lnut0szMzNC/\n",
       "f3/Y2trq5dk1PKaNBl4t2bZtG65cuSJzFgUhhCgjFArRo0cPJCYmwtXVVdvFqTeDbKJRRl3ndxur\n",
       "+Pj4Ored6pLk5GQ4OjqqZV3h4eFyxwDqul1vb2+cPn263tvcsWNHkzQPZGRkwMrKSisH8fXB3bt3\n",
       "4e7ujoEDB+pluANGFvATJkzQv/NY68HFxQWWlpZo1aoVbG1t0adPH2zatEltH+C6fDmuWLECCxcu\n",
       "VMv2dFFjKgm3b99WeVwA4A4yi5pSRD788EMcPXq0QduU5uLiIr5SFQCcnJxQXFxMlR4lunXrhseP\n",
       "H2P16tXaLkqDGVXAGzoej4dDhw6hqKgIGRkZ+Pzzz7Fq1SrExcWpZf11+aI4cuQI3n33XbVsz5g1\n",
       "Ra1a0ZlexLBRwBsoKysrDB06FHv27EFCQoL47JeaTQzbtm2TOXNk9uzZcHJygrW1NYKCghRedahM\n",
       "fn4+Hj58KHPwUXo7b731Fj777DO0bt0aXbp0kbmKNjs7G9HR0WjTpg3c3d3xww8/iOfFx8dj1KhR\n",
       "mDBhAlq1agVvb29cuXJFaTnKy8sRGxuL1q1bo3v37rh06ZLMfD6fjydPnojHY2Nj8dVXX4lfw5Ah\n",
       "Q9C+fXu0bt0aQ4cORVZWVp1ef23bla5Bp6amIigoCNbW1ujQoQM+/fRTABDX8G1sbNCqVSukpKTI\n",
       "vUd8Ph+bNm2Ch4cHbG1tMWPGDJntbN68Gd26dUOrVq3QvXt3XLt2DePHj0dGRgaGDh0KKysrrFmz\n",
       "Ru7XgjrfA6IbKOANXM+ePeHg4IAzZ84AqL2JITg4GDdu3EB+fj7Gjh2LmJiYWi/OETl69CgGDhyo\n",
       "dP2pqano2rUrXr16hfnz58v8shg9ejScnJyQk5ODxMREfPnllzh58qR4/sGDBzFmzBgUFhYiOjpa\n",
       "LtSkLVmyBE+fPsWTJ09w9OhRJCQkqHzN0vuEMYa4uDhkZGQgIyMDFhYWKrdVn+1KD8+ePRtz585F\n",
       "YWEhnjx5Ir4YSvQ+FRYWoqioSHxmUE2HDx/G5cuXcfPmTfz888/iJpy9e/diyZIl2L59O4qKinDg\n",
       "wAG0adMG27dvh5OTEw4dOoTi4mLxF4o0db4HRDdQwBuBTp061bl3vA8//BC2trbg8/mYN28eKioq\n",
       "au0/ReTw4cMYPHiw0vnOzs6Ii4sDj8fD3/72N+Tk5ODFixfIzMzE+fPnsWrVKpibm8PPzw+TJ0+W\n",
       "OZ0uLCwMUVFR4PF4GDduHG7cuKF0O3v37sXChQthY2MDBwcHzJ49u07njgPcqaTDhw9H8+bN0bJl\n",
       "S3z55Zc4depUnV5/fbZrbm6OtLQ05OXlwdLSEiEhITLlqM3nn3+OVq1awdHREf369RPvjx9++AEL\n",
       "FiwQXxXq6uoKJyenWten7veA6AYKeCPw7NkztG7duk7LrlmzBt26dYONjQ1sbW1RWFgo7jhLFaFQ\n",
       "iOPHj4u7LFBEumM00dWuJSUlyM7ORuvWrWWuRnRycpJpGrGzs5N57ps3byAUCrFjxw5YWVnByspK\n",
       "3PafnZ0tc/ZKXQJOpKysDNOmTYOLiwusra3x9ttvo7CwsE7BW5/tbtmyBQ8fPoSXlxeCg4Nx+PDh\n",
       "OpcRkN+XousQnj171qAzPhrzHhDdRQFv4C5duoTs7Gy89dZbALgLckRXjwIQ9w4JcM0Dq1evxt69\n",
       "e8VXu1pbW9cp3C5duiTuu6O+RL8wpC+WysjIgIODQ63P/fDDD1FcXIzi4mJxSHbs2BEZGRky65Jm\n",
       "aWkp0z1sTk6OuPlk7dq1ePjwIVJTU1FYWIhTp07VuT+g2rYrzc3NDTt37sTLly+xYMECcY+cjT2j\n",
       "xdHRUdyDZk2q1t2Y94DoLgp4AyMKoqKiIhw6dAhjxozB+PHjxZem+/v749dff0V5eTkePXqELVu2\n",
       "iD/4xcXFMDU1Rdu2bVFZWYmlS5cqvYS7piNHjmDIkCENKrOjoyN69+6NL774AhUVFbh58yZ+/PFH\n",
       "pV0r12bUqFFYsWIFCgoK8OzZM7kL2/z9/bFjxw4IBAIkJSXJnJteUlICCwsLWFtb4/Xr11iyZInc\n",
       "+pWFfW3blfbTTz+Ju2awtrYGj8cDn89Hu3btwOfzxd0C1IX0F9DkyZOxZs0aXL16FYwxPHr0SPxF\n",
       "Y2dnp3S96n4PiG6ggDcwQ4cORatWreDk5IQVK1bgk08+EXd7AABz586Fubk57OzsMHHiRJkPcFRU\n",
       "FKKiouDh4QEXFxdYWFjINDOoOkB75MgRle3vip4rPb5r1y6kp6ejU6dOGDFiBJYuXSruCK2259a0\n",
       "ePFiODs7o3PnzoiKisLf/vY3meXXrVuHgwcPwtbWFjt37sTw4cPF8+bMmYPy8nK0bdsWvXv3xjvv\n",
       "vFPnbde2XWlHjx6Ft7c3rKysMHfuXOzevRvNmjWDpaUlFi5ciD59+qB169a4ePGi0i4ApMdF095/\n",
       "/30sXLgQY8eORatWrcRdFwBc527ffPMNbG1t8c9//lNuXep8D4huqLWrgkmTJuHw4cNo3749bt26\n",
       "pXCZWbNm4ffff4elpSW2bdsm7gKWGIfc3FwEBgbW+XRCQohm1FqDnzhxotK7/gBcze3Ro0dIS0vD\n",
       "999/j+nTp6u1gET3FRUViWuEhBDdUWtvkmFhYUhPT1c6X/r2cCEhISgoKEBubq7MEXdi2Nzd3RX2\n",
       "vU0I0a5Gt8FnZWXJnBrm4OCAZ8+eNXa1hBBCGkkt/cEru5NRbdMIIYTUrqF9CDW6Bm9vb4/MzEzx\n",
       "+LNnz2Bvb69wWdHpXMb+t3jxYq2XQVf+au6LUaMYAIagIIZOnbhhRX/9+imfp+jv3j3F07/+mttu\n",
       "erpk2q1burEvjPmP9oXkrzEaHfDR0dHiy5lTUlJgY2ND7e+kQYqLgZ9/5oYvXways5UvK9VFCsaM\n",
       "AXr3BqQu7gQAfP89EBUF/P474OkJTJ8O+PoC//kP0LcvEBYGTJzILevsDHz+OTBrFlDL3ewI0Ru1\n",
       "NtGMGTMGp06dQl5eHhwdHbFkyRJUVVUBAKZNm4bBgwfjyJEjcHNzQ4sWLWTOuSZEkYsXgdhYLmhF\n",
       "/vUvYN481c978gS4fx+oebp9ZCQwYQLw4gUgqlsEBABTpnB/ItLbU3Sy14oV9XoZhOi8WgN+165d\n",
       "ta5kw4YNaimMsRDdUNtYDR4MvH4NvPsucORIOIDaw33IEKBzZ6BjR/l5Hh7co3R3OzVr8/rA2P8v\n",
       "pNG+UA+N3ZOVbjZg3BgDFiwAevQARo/mppmZAZWVQEUF0Ly5ZNm2bQFR/2bjxwM17tEMc3Pgrx+R\n",
       "AIBXryThLjqWP3IkkJjYNK+FEE1qTHZSVwVEI1JSgNWrJeEOADY23KPUvTcAAEOHSoYV9V22aZNk\n",
       "2NxctuYuPZ0QY0cBTzTir+5QZIgCvmZ389J9likK+IkTgZs3gUePAGUdNlLAE6Km8+AJqc2LF/LT\n",
       "RAFf874RQUGSYWW9D/v4KJ5ubs41+yi4ayAhRodq8EQjFJ3y2KIFUFbGNd0A3BkvqamAdBfkZmb1\n",
       "286tW8CGDcDkyQ0vKyGGgmrwRCNycuSnVVQAH3wAlJYCzZoB330H/HWjJ7Fmzeq3HQ8PyVk1hBg7\n",
       "CnjS5BhTXIMvL+cOvgLAJ5/IhntiIrB/PzBqlGbKSIghotMkSZOaPRs4cgSwsOCaTxSxtARKSiSn\n",
       "OBJCJBqTnRTwpEnVJbQdHACp7owIIVIo4IlOev1a+VkwNdG/BiGK0YVORCelpdVtuf/+t2nLQYix\n",
       "ooAnDcIY11vjlSuSafn5wLp1XHs6IH8Bk6KLjwYNAqZObbpyEmLMKOBJg/z5JzBtmuxFSZ98AsyZ\n",
       "Awwfzo0/fCj7HGtr+fV07Qrw6b+QkCZBHy3SIIpu0yvqo/34ca4DsMOHZefb2HDd/f72m2SahUWT\n",
       "FZEQo0fnwZMGMVXwn9O5syT4vb2B589l51tbczfe8PSUTKt5YRMhRH2oBk8aRFHAv3wpGa4Z7gBg\n",
       "ZSU/jWrwhDQdCnjSIIoCXtUt9gCgqEh+mqJ2eUKIelDAk0arrgbevOHOe69p2TLJcG6uZHjVKq7H\n",
       "xw8/bPryEWKs6EIn0iD/+x93H1QAGDgQcHEBfvhBdpmePbneIUVXs5qayt6JiRBSO7rQiWhcRYVk\n",
       "+PhxSbgHB0umi65i3bKFe/zxR82UjRDCobNoSINIB7xIp07A+fOS9nnRlayTJgEjRkhu8EEI0Qyq\n",
       "wZMGURTw06cDJiZAXBw3LnoEKNwJ0QaqwZN6O3UKePpUfrroXqobN3L9uIeHa7RYhJAa6CArqZeL\n",
       "F4HQUMXzhELq050QdaODrERjLlxQPP3MGQp3QnQNBTypl+pqxdPfekuz5SCE1I4CntSLovPYqTdI\n",
       "QnQTfTRJvSiqwTdvrvlyEEJqRwFP6kVRwO/Zo/lyEEJqRwFP6qVmE82OHZLTIwkhuoUCntRLebns\n",
       "eIsW2ikHIaR2FPCkXoqLZcebNdNOOQghtaOAJ/VCAU+I/qCuCohKJSVAWRnXFFNczN1TVRoFPCG6\n",
       "iwKeqOThAeTkcEGuqIMxCnhCdBc10RCVcnK4R0XhDlDAE6LLag34pKQkdO3aFe7u7li1apXc/Ly8\n",
       "PERFRcHf3x/e3t7Ytm1bU5ST6CgKeEJ0l8reJAUCATw9PXH8+HHY29ujZ8+e2LVrF7y8vMTLxMfH\n",
       "o6KiAitWrEBeXh48PT2Rm5sL0xp3ZabeJPVTbR2I5eYC7dtrpiyEGKMm600yNTUVbm5ucHFxgZmZ\n",
       "GUaPHo39+/fLLNOxY0cUFRUBAIqKitCmTRu5cCf6Sdn/VNu2iocJIbpFZRJnZWXB0dFRPO7g4ICL\n",
       "Fy/KLDNlyhT0798fnTp1QnFxMX7++Wel64uPjxcPh4eHI5zuCKHTKisVTzcxkQxTR2OEqFdycjKS\n",
       "k5PVsi6VAc+rQwffy5cvh7+/P5KTk/H48WNERETgxo0bsLKykltWOuCJ7lN2YJVCnZCmU7Pyu2TJ\n",
       "kgavS+VH1d7eHpmZmeLxzMxMODg4yCxz/vx5xMTEAABcXV3RuXNnPHjwoMEFIrpDWcCXlmq2HISQ\n",
       "hlEZ8EFBQUhLS0N6ejoqKyuxZ88eREdHyyzTtWtXHD9+HACQm5uLBw8eoEuXLk1XYqIxygL+r0Mu\n",
       "hBAdp7KJxtTUFBs2bEBkZCQEAgHi4uLg5eWFTZs2AQCmTZuGL7/8EhMnToSfnx+EQiG+/fZbtG7d\n",
       "WiOFJ01LWcB7eAAPHyq/NyshRDfQTbeJQowB9+4B3bvLTj98GHB1BdasARYtAqSOwRNCmgDddJuo\n",
       "1U8/Aa1aAWfPyk739AQGD+YeN2+mcCdE11ENnsgRnTzl5ARkZEim+/gAN29qp0yEGCuqwRO1EfU9\n",
       "AwDOzrLzqFsCQvQLBTyRceuWZLjmhU50gTIh+oUCnsjIy5MM17hoGUKhZstCCGkcCngi49Ur5fMo\n",
       "4AnRLxTwRAYFPCGGgwKeyKCAJ8RwUMATGRTwhBgOCngiQ/oga00U8IToFwp4IoNq8IQYDgp4IoMC\n",
       "nhDDQQFPZOTnK58nEGiuHISQxqOAJ7hzB5g1C3jxQnVf71SDJ0S/0MXnBKGhQEkJ8Pix6uUo4AnR\n",
       "L1SDJygp4R4vXOAezcwk8+bMkQxTwBOiXyjgiZioeaZDB8m0iAjA25sbDgvTfJkIIQ1HTTRETHQQ\n",
       "tUMHQHSv9RYtgKNHgR07gKlTtVc2Qkj9UcATOe3bS4abNwc6dQI++0x75SGENAw10RA51taSYRMT\n",
       "7ZWDENI4FPBEjo2NZJgCnhD9RU00RI61NTB2LHD7tuQAKyFE/1AN3gilpgLjxgG5uYrnW1tzB1Wv\n",
       "X5c9ZZJ7DiJnAAAa8klEQVQQol+oBm+EQkK4x8pKYM8e+fmtW3OPPJ7mykQIUT+qwRuxJ0+Aigr5\n",
       "6R07ar4shBD1o4A3YgIBUFoqP71TJ82XhRCifhTwRkxZwFMNnhDDQAFvxBQFPJ8ve6ETIUR/UcAb\n",
       "MUUB36EDnftOiKGggDdiAgEwcqTsNGqeIcRwUMAbMYGAu8mHNC8v7ZSFEKJ+FPBG7M0b7o8v9V8w\n",
       "YID2ykMIUS8KeCNWWMg9tmzJ9fVuaQm89552y0QIUR8eY4xpZEM8HjS0KVKLmleo2ttLLnqystJO\n",
       "mQghijUmO6mrAgIrK8DcnPsjhBgOaqIhaNlS2yUghDSFWgM+KSkJXbt2hbu7O1atWqVwmeTkZAQE\n",
       "BMDb2xvh4eHqLiNpYtQsQ4hhUtlEIxAIMGPGDBw/fhz29vbo2bMnoqOj4SV1Ll1BQQH+/ve/4+jR\n",
       "o3BwcEBeXl6TF5qoFwU8IYZJZQ0+NTUVbm5ucHFxgZmZGUaPHo39+/fLLLNz506MHDkSDg4OAIC2\n",
       "bds2XWlJoyk6VkMBT4hhUlmDz8rKgqOjo3jcwcEBFy9elFkmLS0NVVVV6NevH4qLizF79myMHz9e\n",
       "4fri4+PFw+Hh4dScowXV1fLTqA2eEN2RnJyM5ORktaxLZcDz6nDHh6qqKly9ehUnTpxAWVkZevXq\n",
       "hdDQULi7u8stKx3wRHMOHACWLQN27waWL5efb2mp+TIRQhSrWfldsmRJg9elMuDt7e2RmZkpHs/M\n",
       "zBQ3xYg4Ojqibdu2sLCwgIWFBfr27YsbN24oDHiiHcOGcY/z5gH79snPz8/XbHkIIZqhsg0+KCgI\n",
       "aWlpSE9PR2VlJfbs2YPo6GiZZYYNG4azZ89CIBCgrKwMFy9eRLdu3Zq00KRhsrIUT8/O1mw5CCGa\n",
       "obIGb2pqig0bNiAyMhICgQBxcXHw8vLCpk2bAADTpk1D165dERUVBV9fX/D5fEyZMoUCXkeJuiYQ\n",
       "efdd4PBh+R4lCSGGgboqMAKiQyl2dkBurmR6SQlw5QrQpw/1AU+IrmpMdlLAGwFRwDdvzvUeKUJv\n",
       "ByG6rzHZSV0VGLiyMsmwdLgTQgwfBbyBe/VK2yUghGgLBbyBo4AnxHhRwBs46hqIEONFAW/gCgoU\n",
       "T1+2TLPlIIRoHt3ww8CVlMhP++47YPZszZeFEKJZVIM3cMXF8tPatdN8OQghmkcBb+AUBTx1E0SI\n",
       "caCAN3CKAt7DQ/PlIIRoHgW8gXjxQrYbAhFRwDdvLplmba2ZMhFCtIsC3gAwxvUz06EDIBTKzhMd\n",
       "ZO3SRfPlIoRoF51FYwCk79JUUQFYWHChX1UlqcHPnw8kJwNjx2qliIQQLaCANwAVFZLhsjIu4KOi\n",
       "gD/+kHQoZmcHbN2qnfIRQrSDmmgMgHQnYmVlXDPNsWOyvUXSjbUJMT4U8AZAOuDLyxX3GkkBT4jx\n",
       "oYA3ADVr8OXl8stQwBNifKgN3gBIt8Hv3s2dTVMTBTwhxofu6GQArlwBgoJUL/PmDdCsmWbKQwhR\n",
       "H7qjk5Gry52aKNwJMT4U8AZAuolGkXHjNFMOQohuoYA3AMr6fG/XDliwANi4UbPlIYToBmqD13PX\n",
       "rwMBAYrnvfsucOiQZstDCFEvaoM3YkuWKJ9nYaG5chBCdA8FvJ4TCJTPs7TUXDkIIbqHAl7PVVUp\n",
       "n0c1eEKMGwW8Hrt2DUhKUj6favCEGDcKeD0WEqJ6PgU8IcaNAl6PqWqeAaiJhhBjRwFvwKgGT4hx\n",
       "o4DXY7V1P0A1eEKMGwW8HnNxUT2favCEGDcKeD1WW4B3766ZchBCdBMFvB7ZsgXo1g3IyuLGKytV\n",
       "Lx8Y2PRlIoToLgp4PTJ5MnDvHrBoETcuCvgpU+Rv6LFqFcDjabZ8hBDdUmvAJyUloWvXrnB3d8eq\n",
       "VauULnfp0iWYmpri119/VWsBibzXr4G1a4G0NG78yy9le5QcOxaYP187ZSOE6A6VAS8QCDBjxgwk\n",
       "JSXh7t272LVrF+7du6dwuQULFiAqKop6jNSAFy+ATz+VjJubA3w+EBXFjcfEaKdchBDdojLgU1NT\n",
       "4ebmBhcXF5iZmWH06NHYv3+/3HLr16/H+++/j3bt2jVZQYmEqOYuIjpd8rffgBs3gGHDNF8mQoju\n",
       "URnwWVlZcHR0FI87ODggS3SET2qZ/fv3Y/r06QC4votJ03r5Unbc3Jx7bN4c8PWltndCCMdU1cy6\n",
       "hPWcOXOwcuVKcaf0qppo4uPjxcPh4eEIDw+vc0GJcnS/VUIMR3JyMpKTk9WyLpV3dEpJSUF8fDyS\n",
       "/uqycMWKFeDz+ViwYIF4mS5duohDPS8vD5aWlti8eTOio6NlN0R3dGo0Zd+3QiHV2gkxVI3JTpUB\n",
       "X11dDU9PT5w4cQKdOnVCcHAwdu3aBS8vL4XLT5w4EUOHDsWIESPUWkjCURbitFsJMVyNyU6VTTSm\n",
       "pqbYsGEDIiMjIRAIEBcXBy8vL2zatAkAMG3atAZtlBBCSNOjm27rETMzoLpafjrtVkIMF9102wgI\n",
       "hYrDnRBClKGA1xMVFdouASFE31DA6wkKeEJIfVHA64k3b7RdAkKIvqGA1xMU8ISQ+qKA1xMU8ISQ\n",
       "+qKA1xPUBk8IqS8KeD1BNXhCSH1RwOsJCnhCSH1RwOuBPXsA6niTEFJfFPB6YPRo5fNmz9ZcOQgh\n",
       "+kVlZ2NEOy5fBg4cAL76CkhIUL5cYaH8zbYJIUSEAl4H9ezJPZqbcyGvTKtWmikPIUQ/URONDjt1\n",
       "StslIIToMwp4HZadre0SEEL0GQW8jiktlQzXuL85AMDBQXNlIYToNwp4HVJZCbRsKRkvLJRfxt1d\n",
       "c+UhhOg3CngdoqjGLu3TTwFLS82UhRCi/yjgtezePcDbGzh4sParVVev1kyZCCGGgQJey6ZPB+7c\n",
       "AaKjFTfJiPz739zjN98AfD7w7beaKR8hRH/RefBaJt1LZEGB4mUuXABCQ7lhf3/uOab0zhFCakE1\n",
       "eC1r1kwyrKwG37q17DiFOyGkLijgtawuAW9jo5myEEIMCwW8lkkHvLImGmtrzZSFEGJYKOC1TDrg\n",
       "b99WPF96GUIIqSsKeC0zN5cMb98uP5+aZwghDUUBr2VCoer51DxDCGkoCngtKy9XPZ8CnhDSUBTw\n",
       "Wlbb1avUREMIaSgKeC2jGjwhpKlQwGtZbTV4Ly/NlIMQYnjomkgtU1WDv3QJCAjQXFkIIYaFavBa\n",
       "VrMGL+rv3dcXCAoCTEw0XyZCiGGgGryW1azBf/01UFUFDBqknfIQQgwHBbyW1azB29gAkZHaKQsh\n",
       "xLBQE42WCAQAY/I1eAsL7ZSHEGJ46hTwSUlJ6Nq1K9zd3bFq1Sq5+Tt27ICfnx98fX3Rp08f3Lx5\n",
       "U+0FNSSVlYCHBzB0qHwNnm7JRwhRl1qbaAQCAWbMmIHjx4/D3t4ePXv2RHR0NLykzt/r0qULTp8+\n",
       "DWtrayQlJWHq1KlISUlp0oLrsxs3gCdPuL+aqAZPCFGXWmvwqampcHNzg4uLC8zMzDB69Gjs379f\n",
       "ZplevXrB+q8rckJCQvDs2bOmKa0euX8fGDCAuxtTTapuzUc1eEKIutRag8/KyoKjo6N43MHBARcv\n",
       "XlS6/JYtWzB48GCF8+Lj48XD4eHhCA8Pr3tJ9cyYMcD160Dv3lxbu7SXL5U/j2rwhBi35ORkJCcn\n",
       "q2VdtQY8j8er88pOnjyJH3/8EefOnVM4XzrgDV1urvJ52dmy40FBwOXL3DDV4AkxbjUrv0uWLGnw\n",
       "umptorG3t0dmZqZ4PDMzEw4ODnLL3bx5E1OmTMGBAwdga2vb4AIZg5wc2fGRIyXDVIMnhKhLrQEf\n",
       "FBSEtLQ0pKeno7KyEnv27EF0dLTMMhkZGRgxYgR++uknuLm5NVlh9VXNg6k1a/CdO0uGzcyavjyE\n",
       "EONQaxONqakpNmzYgMjISAgEAsTFxcHLywubNm0CAEybNg1Lly5Ffn4+pk+fDgAwMzNDampq05Zc\n",
       "j7i6yrbD16zBOzlptjyEEOPAY6zmIcAm2hCPBw1tSid06iQb5EVFgJUVN+zpCTx8KJmXlwckJgJt\n",
       "28o21xBCSGOykwK+idQMeABITwecnbmgLymRTK+qAkyp0whCiAKNyU7qqkCDdu0Ciotlwx2gcCeE\n",
       "NA0KeA2rWasnhJCmQgGvQW/eUMATQjSHAl6DcnLkT5EkhJCmQgGvQdnZQEaGtktBCDEWFPAalJ0N\n",
       "pKVpuxSEEGNBAa9Bz58DDx5ww127co+ie7ASQoi60Ql6GlRSIrnA6ddfgSNHgA8+0G6ZCCGGiy50\n",
       "aiLSFzp98gmwdq1knoUFF/Z8+v1ECKkFXeikg6Tfj5YtZTsR69WLwp0Q0vSoiUaNKiuB0FAgJIQb\n",
       "FjExAVq0AAoKuPGhQ7VTPkKIcaGAV6Pr14Fr17g/6Rt38PncuCjgQ0O1Uz5CiHGhhgI1evNGMlxW\n",
       "Jhnm8bgavAjdD4UQogkU8Gr06pXi6Xy+bMD/dX9yQghpUtREowa3bwP37gGFhYrn16zB29hoplyE\n",
       "EONGAa8GPXpIDrAqwudzB1pFmjfXTLkIIcaNmmjUQHTGTEqK4vk8HlBdrbnyEEIIQAHfJIYNkx23\n",
       "s6OAJ4RontaaaIRC/b7YRyDgml3y8uTn/e1vQFAQ8Pgxd5HTmDHAv/6l+TISQoybVgL+xg2gTx9g\n",
       "5UpgxgxtlKBxSkqAbt2AzEzF89u2Bf7xD9lpVIMnhGiaVurQ8+YBpaXAzJna2HrjnTmjPNwBwMFB\n",
       "fhoFPCFE0/S4kaRxLlwAIiIk3fempgIDBwJ379b+3PJy1fOdneWnVVXVv4yEENIYWgl4Hk8bW5XV\n",
       "uzdw/Djw979z4++9B5w4AYwaVftza7uvqvQpkSLLlnGPixfXr5yEENJQWukueOBALkwBIDERGDmS\n",
       "6yf9t9+4rnVNNXBkQPpL5vx5LvBFRHvk7Fmuhj9pErBpE/DiBXfTjmvXlJ8SKf38mvLygDZtdOML\n",
       "jhCiHxrTXbDWL3R6/32ufdrTkxu3tgY++kizZejdm+vOt2YzSlgY93j/PrBmTd3WNWaM8nlt2zas\n",
       "fIQQ0hAabaI5eRL4/XdJ7V1E+j6lDx5wl/3v3g3k56tv22VlXJNMdbXi9UqHu1AoWwtXFu7TpnHd\n",
       "E/z2G1c7/+034Pvv1VdmQghpDI3W4Pv3Vzz9p58kwzk5wFtvAa9fc7XhnTvVs+2//x3Ytg1YsgQY\n",
       "PFj1spmZQKtWta/zo4+45d57jxsXPRJCiC7QaBs8oHhToaGSNm0+n6tBA9xFQnl5XO26Zcu6bae0\n",
       "lOt7vWY7t2i8ZUuu3T8qSvk6jh4F2rUDAgNlp8+ZA4wbx9XSO3UCFi2i9nRCSNPS+1v2SR+wFIU7\n",
       "wF1Q1K8f1y5/+XLt6xFdOTptmvw80VWzJSXKe30USU6WD3fR1ag9enAHXBcvpnAnhOg2nQh4VS5c\n",
       "4EJfdJqhKj/8wD1u3iw/r317ybDozko1ubtzjytWyD6vVy/gs8/qVl5CCNEVOhXwV69Khr28ZOe1\n",
       "bMndUKNvX9k2ewCYNYs7f136xta//w64unJd8wYGAi9fSuYtWiS/bT4fWLtWfnqHDtxplAEB9X89\n",
       "hBCiTToT8B06AP7+kvG+fYFmzSTjJibAxo1cNwHjx0vOchEKgfXrgb17gdxcyfI//AA8eQJUVHDn\n",
       "rQsEknnSy4mYmwN+fvLTV61q3OsihBBt0fp58CJ+frJt2qWlXJPJ7dvc+B9/AAkJkvn37nE1/keP\n",
       "JNOkh3/9tX7bb9YMcHKSnVZdrfiqVEII0Qdar8GLrlqdPZt7fPtt7nHECNnL+rOzZZ934ABXk1+y\n",
       "RDLt1q3at2dnp3j63Lnc41dfcY9r1lC4E0L0HKvF77//zjw9PZmbmxtbuXKlwmVmzpzJ3NzcmK+v\n",
       "L7t69arCZQAwrmGFsX37GLt+nbHz5xkrLGQsNVWyXFERY2fPMiYUcuMHDzLx8xryd/UqY66ukvEB\n",
       "AyTD//0vY5cuMXb6NGNVVdz2qqq4cYGgtj3TcCdPnmy6lesZ2hcStC8kaF9I1CGmlVJZgxcIBJgx\n",
       "YwaSkpJw9+5d7Nq1C/fu3ZNZ5siRI3j06BHS0tLw/fffY/r06bV+qQQHc00yvXpxFwr17CmZZ2XF\n",
       "9RUvaq555536fmVJtGrFHRzt2lUyTdQlAsAdyA0K4rokEP2SMDXlxpvyZiTJyclNt3I9Q/tCgvaF\n",
       "BO0L9VAZY6mpqXBzc4OLiwvMzMwwevRo7N+/X2aZAwcOYMKECQCAkJAQFBQUIFfRUUwp1tZ1L6CJ\n",
       "CbBvH9eH/Nq1wPLlknmWloqfM2kS8N13wLlz3Lj0KZL9+jWsHIQQom9UHmTNysqCo6OjeNzBwQEX\n",
       "L16sdZlnz57BTlljNwALi/oVctgwyX1O37wBvvySG05JAXx95ZdfsUI21KVPuRw0SDJcl+4ICCFE\n",
       "X6kMeF4dL9VkNS6jVf48brq6mj8UhTug/EAqIFtrd3VVTzkaYon00WEjR/tCgvaFBO2LxlMZ8Pb2\n",
       "9siUujddZmYmHGrcj67mMs+ePYO9vb3cump+CRBCCGlaKuvSQUFBSEtLQ3p6OiorK7Fnzx5ER0fL\n",
       "LBMdHY3//e9/AICUlBTY2NiobJ4hhBCiGSpr8KamptiwYQMiIyMhEAgQFxcHLy8vbNq0CQAwbdo0\n",
       "DB48GEeOHIGbmxtatGiBrVu3aqTghBBCaqG2kzWVqMt59IZk4sSJrH379szb21s87dWrV2zgwIHM\n",
       "3d2dRUREsPz8fPG85cuXMzc3N+bp6cmOHj2qjSI3mYyMDBYeHs66devGunfvztatW8cYM879UV5e\n",
       "zoKDg5mfnx/z8vJin3/+OWPMOPeFSHV1NfP392dDhgxhjBnvvnB2dmY+Pj7M39+f9ezZkzGmvn3R\n",
       "pAFfXV3NXF1d2dOnT1llZSXz8/Njd+/ebcpNat3p06fZ1atXZQL+s88+Y6tWrWKMMbZy5Uq2YMEC\n",
       "xhhjd+7cYX5+fqyyspI9ffqUubq6MkFTXmGlYTk5OezatWuMMcaKi4uZh4cHu3v3rtHuj9LSUsYY\n",
       "Y1VVVSwkJISdOXPGaPcFY4ytXbuWjR07lg0dOpQxZryfExcXF/bq1SuZaeraF00a8OfPn2eRkZHi\n",
       "8RUrVrAVK1Y05SZ1wtOnT2UC3tPTkz1//pwxxoWep6cnY4z7Jpb+VRMZGckuXLig2cJq0LBhw9gf\n",
       "f/xh9PujtLSUBQUFsdu3bxvtvsjMzGQDBgxgf/75p7gGb6z7wsXFheXl5clMU9e+aNK+aBSdI5+V\n",
       "ldWUm9RJubm54gPPdnZ24gvBsrOzZc5KMuT9k56ejmvXriEkJMRo94dQKIS/vz/s7OzQr18/dO/e\n",
       "3Wj3xdy5c7F69Wrwpc6ZNtZ9wePxMHDgQAQFBWHzXzezUNe+aNLeJOt6Hr0x4fF4KveLIe6zkpIS\n",
       "jBw5EuvWrYOVlZXMPGPaH3w+H9evX0dhYSEiIyNx8uRJmfnGsi8OHTqE9u3bIyAgQGmXBMayLwDg\n",
       "3Llz6NixI16+fImIiAh0le5bBY3bF01ag6/LefTGwM7ODs+fPwcA5OTkoP1fl9nW9RoCfVZVVYWR\n",
       "I0di/PjxeO+vu5Ib8/4AAGtra7z77ru4cuWKUe6L8+fP48CBA+jcuTPGjBmDP//8E+PHjzfKfQEA\n",
       "HTt2BAC0a9cOw4cPR2pqqtr2RZMGfF3OozcG0dHRSPirM/uEhARx0EVHR2P37t2orKzE06dPkZaW\n",
       "huDgYG0WVa0YY4iLi0O3bt0wZ84c8XRj3B95eXko+OtekeXl5fjjjz8QEBBglPti+fLlyMzMxNOn\n",
       "T7F79270798f27dvN8p9UVZWhuLiYgBAaWkpjh07Bh8fH/XtC/UfMpB15MgR5uHhwVxdXdny5cub\n",
       "enNaN3r0aNaxY0dmZmbGHBwc2I8//shevXrFBgwYoPCUp2XLljFXV1fm6enJkpKStFhy9Ttz5gzj\n",
       "8XjMz8+P+fv7M39/f/b7778b5f64efMmCwgIYH5+fszHx4d9++23jDFmlPtCWnJysvgsGmPcF0+e\n",
       "PGF+fn7Mz8+Pde/eXZyR6toXPMaoDwFCCDFEWr+jEyGEkKZBAU8IIQaKAp4QQgwUBTwhhBgoCnii\n",
       "da9evUJAQAACAgLQsWNHODg4ICAgAIGBgaiurgYAHDx4EKtWrVK5nm3btmHmzJkKp5uYmODWrVvi\n",
       "ad7e3sjIyFBL+Vu2bKmW9RCibk16JSshddGmTRtcu3YNAHcXHysrK8ybN088XyAQYOjQoRg6dKjK\n",
       "9ai6os/BwQHLli3D7t27a122vhqzLoFAABMTE7WVhRBpVIMnOocxhtjYWHz00UcIDQ3F/PnzkZCQ\n",
       "IK6dHzx4EKGhoQgMDERERARevHihcn08Hg9DhgzBnTt38PDhQ7n50jXwxMRETJw4EQAQGxuLjz/+\n",
       "GL169YKrqyuSk5MxYcIEdOvWTbyMyLx58+Dt7Y2BAwciLy8PAPD48WO88847CAoKQt++ffHgwQPx\n",
       "ekWvbcGCBQ3fUYTUggKe6CQej4fs7GxcuHABa9eulZkXFhaGlJQUXL16FR988AG+/fZbAKpvC8nn\n",
       "8zF//nwsX75c4bYUDQNAQUEBLly4gH/961+Ijo7G/PnzcefOHdy6dQs3b94EwF2B2LNnT9y+fRtv\n",
       "v/22+F6iU6dOxfr163H58mWsXr0aH3/8sXi9ote2Zs2aeu4ZQuqOmmiIzoqJiVHY/JGZmYlRo0bh\n",
       "+fPnqKysRJcuXeq0vrFjx2LZsmVIT0+v0/I8Hk/cLOTt7Y0OHTqge/fuAIDu3bsjPT0dvr6+4PP5\n",
       "+OCDDwAA48aNw4gRI1BaWorz588jJiZGvL7KykrxepW9NkLUiQKe6CxLS0uF02fOnIlPP/0UQ4YM\n",
       "walTpxAfH1+n9ZmYmOCTTz7BypUrZaZLB215ebnMPHNzcwDcL4BmzZqJp/P5fPEBYGmMMfB4PAiF\n",
       "Qtja2oqPLdT1tRGiTtREQ/SCdPNLUVEROnXqBIA7Q6Y+z42NjcXx48fx8uVL8TQ7Ozvcv38fQqEQ\n",
       "v/32W71r1kKhEHv37gUA7Ny5E2FhYbCyskLnzp2RmJgoLoOoSYcQTaGAJzqrZtu4aDw+Ph4xMTEI\n",
       "CgpCu3btxNOV9ZstPd3MzAyzZ8+WCfiVK1diyJAh6NOnj/iLQ1kZFGnRogVSU1Ph4+OD5ORkLFq0\n",
       "CACwY8cObNmyBf7+/vD29saBAwdqXRch6kSdjRFCiIGiGjwhhBgoCnhCCDFQFPCEEGKgKOAJIcRA\n",
       "UcATQoiBooAnhBAD9f+55oTIUIySFQAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1773d550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(1,len(P['du / non-du'])+1), P['du / non-du'], '-', linewidth=2)\n",
    "plt.title('Dual / non-dual distinction')\n",
    "plt.xlabel('Trial Number')\n",
    "plt.suptitle('Proportion of 100 learners who label all 15 items correctly')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Singular, dual, plural"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data['Outcomes'] = 'plural'\n",
    "data['Outcomes'][1] = 'singular'\n",
    "data['Outcomes'][2] = 'dual'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "P['sg / du / pl'] = [population_accuracy(M=i) for i in xrange(1,MAX_TRIALS)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x17af5fd0>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEdCAYAAAAGpHxPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XlclNX+B/DPsLiCgKiEgBsgILshaG64IGSIqblkecVd\n",
       "y0zL8tqioLml9rte/ZW2KbfSLOvndhFNE3dD09wwxYVAxAUFRUDZzu+PaYbZAWFmYObzfr2UZznz\n",
       "zHfOMF/OnOc855EIIQSIiMjkWBg7ACIi0g8meCIiE8UET0RkopjgiYhMFBM8EZGJYoInIjJR9S7B\n",
       "W1paIjg4GP7+/hgxYgSKiooM+vyLFy9WWu/evbten+/PP/9EUFAQnn32WVy/fl1p3/vvv482bdrA\n",
       "1tZWafuTJ08wcuRIeHp6omvXrvjrr7/k+xISEtCxY0d07NgR//nPfzQ+Z2xsLH766afafzFGEhcX\n",
       "h5UrVz7149u1a4f79+/rLGNjY6PXmDZs2IA33nhD52MPHjyIzp07w9raWu39k31ugoOD8eKLL2p8\n",
       "jvnz5+PXX38FAPzrX/8y+GfLWFRfa1Xe7/qi3iX4Jk2a4PTp0zh37hwaNGiAtWvXKu0vLS3V23OX\n",
       "l5djyZIlStuOHDmit+cDgK1bt2L48OH4/fff0b59e6V9gwcPRkpKitpjvvrqKzg6OiItLQ2zZs3C\n",
       "nDlzAAD379/HggULkJKSgpSUFMTHxyMvL0/t8RKJBBKJpMaxl5WV1ejxQgjUxmUaNX0tVXl8dZ+j\n",
       "JuW1PbZt27ZISEjA6NGj1fbJPjenT5/G1q1bNT4+Pj4effv2BQCsWrUKhYWF1YrRGFQ/70/z+Vd9\n",
       "rbXxu19X1LsEr6hnz564cuUKDhw4gJ49e2Lw4MHw8/PDkydPMG7cOAQEBKBz585ITk4GIG0FDR48\n",
       "GH369EHHjh2xYMEC+bE++eQT+Pv7w9/fH6tWrQIApKenw8vLC2PHjoWfnx8mTpyIoqIiBAcHY8yY\n",
       "MQAqWm5CCLzzzjvw9/dHQEAAfvjhBwBAcnIywsPDMXz4cPj4+ODVV1/V+Fr++OMPdO3aFYGBgRg6\n",
       "dCjy8vKQmJiIVatW4bPPPpN/8BSFhobimWeeUdu+fft2jB07FgAwbNgw7Nu3DwCwe/duDBgwAPb2\n",
       "9rC3t0dERASSkpI0xiNLrL///jvCw8MREhKCqKgo3Lp1CwDwxRdfIDQ0FEFBQXjppZfkLaDY2FhM\n",
       "nToVXbt2xbvvvotx48ZhxowZ6N69O9zd3ZValsuXL0doaCgCAwMRFxenVuf+/v7IzMxEbGysvF7/\n",
       "9a9/KcVZVlaGDh06AADy8vJgaWmJw4cPAwB69eqFK1euAABSU1PRp08fuLu7Y/Xq1fLHa3rfdRky\n",
       "ZAhCQkLg5+eHL774QmnfW2+9BT8/P/Tv3x85OTkAgKtXr+L5559HSEgIevXqhUuXLuk8/o4dO9C1\n",
       "a1d07twZERERuHPnTqUxybRt2xb+/v6wsHi6j7Xsm9vq1atx8+ZN9OnTB/369QMA7NmzB8899xye\n",
       "ffZZjBgxAgUFBQCkrd333nsPwcHBCAkJwalTpzBgwAB4eHhg3bp1AIDs7Gz06tVL/s1b9v4oOnHi\n",
       "BLp3746goCCEhYWhoKAAjx8/1vo5jomJQb9+/dC/f38kJCTI1yMiIlBYWIjx48cjLCwMnTt3xvbt\n",
       "2wFIf1dmz54Nf39/BAYGYs2aNRpfKyD9/Z8/f77S78T777+Pf//7309Vt0Yj6hkbGxshhBAlJSUi\n",
       "JiZGrF27ViQnJ4umTZuK9PR0IYQQK1asEBMmTBBCCPHnn3+KNm3aiMePH4v169cLZ2dncf/+fVFU\n",
       "VCT8/PzEyZMnxcmTJ4W/v78oLCwUjx49Er6+vuL06dPi+vXrwsLCQvz2229qz6+6vmXLFhERESHK\n",
       "y8vF7du3RZs2bUR2drbYv3+/sLOzE1lZWaK8vFx069ZNHD58WO11+fv7i4MHDwohhJg3b56YOXOm\n",
       "EEKIuLg4sXLlyirViYyfn5/IysqSr7u7u4ucnByxYsUK8dFHH8m3L1y4UKxYsULteLGxseKnn34S\n",
       "xcXFolu3biInJ0cIIcT3338vxo8fL4QQ4t69e/LyH3zwgVi9erUQQoixY8eKQYMGifLycvmxRowY\n",
       "IYQQIjU1VXh4eAghhNi9e7eYPHmyEEKIsrIyER0dLQ4ePKhW5ydPnhQRERHy58rLy1OLNyoqSly4\n",
       "cEHs2LFDdOnSRSxatEg8fvxYtG/fXgghxPz588Vzzz0niouLRU5OjnB0dBSlpaVa33dV7dq1k7/e\n",
       "+/fvCyGEKCwsFH5+fvJ1iUQiNm7cKIQQYsGCBWL69OlCCCH69u0r0tLShBBCHD9+XPTt21cIIX1f\n",
       "NdV9bm6ufPmLL74Qb7/9thBCiPXr18uPqe2xMrGxsWLLli1K26ysrETnzp1F165dxdatW7U+7qef\n",
       "flJ7zXfv3hW9evUShYWFQgghli5dKhYsWCAvt3btWiGEELNmzRL+/v7i0aNH4u7du8LJyUkIIf08\n",
       "Llq0SAghRHl5ucjPz1d63idPnogOHTqIkydPCiGEyM/PF6WlpTo/x66urvK6Ul2fO3eu+Pbbb+X1\n",
       "2bFjR1FQUCA+/fRTMXz4cFFWViaEqHgvFV+r4np6erro3LmzEEL6O+ru7i5/TH1hZew/MNUla0ED\n",
       "0hba+PHjceTIEYSGhqJt27YApN0mM2bMAAB4eXmhbdu2uHz5MiQSCQYMGAAHBwcAwNChQ3H48GFI\n",
       "JBIMHToUjRs3lm8/dOgQYmJi0LZtW4SGhlYa1+HDhzF69GhIJBK0atUKvXv3xokTJ9CsWTOEhoai\n",
       "devWAICgoCCkp6cr9d0/ePAADx48QM+ePQEAY8eOxfDhwwHUXjdFdQkhcOnSJVy4cAH9+/cHIG0B\n",
       "yV7HuXPn8MEHH+DBgwd49OgRoqKiAEi/3g4fPlzpa66sz9fHxwe3b98GIG0R7tmzR/5eFhQU4MqV\n",
       "K3Bzc1Oqc3d3d1y7dg0zZszACy+8gAEDBqjF2rNnTxw8eBDXr1/H3Llz8cUXX6B3797o0qWLPKbo\n",
       "6GhYW1vD0dERrVq1wq1bt3D48GGN73tQUJDWelm1apW8iyMzMxNpaWkIDQ2FhYUFRo4cCQB49dVX\n",
       "MXToUBQUFODo0aPy9xIAiouLddZ7ZmYmRowYgVu3bqG4uFj+7aSmMjIy4OzsjOvXr6Nv377w9/ev\n",
       "8rGPHz+O1NRUPPfccwCkr0G2DAAxMTEAAH9/fxQUFKBp06Zo2rQpGjZsiIcPHyI0NBTjx49HSUkJ\n",
       "XnzxRQQGBiod/9KlS3B2dsazzz4LoOJbsa7PcUREBOzt7QFAbX3Pnj3YsWMHVqxYAUB6TiojIwP7\n",
       "9u3DtGnT5N9wZHlAm7Zt28LR0RF//PEHbt26hc6dO1f6mLqm3iX4xo0b4/Tp02rbmzZtqrRelaQo\n",
       "hJAnIsXyittVj6uNRCJRe07ZMRo2bCjfZmlpWWk/oeJxnqY/0MXFBRkZGWjdujVKS0vx4MEDODo6\n",
       "wsXFRf41F5AmE01dP4p8fX1x9OhRte2xsbHYvn07/P39kZCQoHTcJk2aKJVt0KCBfFnxtc2dOxeT\n",
       "J09WKpuenq5U5/b29jh79iySkpKwdu1a/PDDD/jqq6+UHtOrVy98+umnyM7OxoIFC7B8+XIkJyej\n",
       "V69eGmOQvQeq75ni+65JcnIy9u3bh+PHj6NRo0bo06cPHj9+rFZOdpzy8nI4ODho/H3V5o033sDs\n",
       "2bMRHR2NAwcOyLuuqkv1dTg7OwMA2rdvj/DwcJw+fbpafzwiIiKwceNGjftkv98WFhZK9WxhYYHS\n",
       "0lL07NkThw4dws6dOxEbG4u33npL3sVZGW2fY9XPper6zz//DE9PzyofT5uJEydi/fr1uH37NsaP\n",
       "H1+tx9YF9boPXpuePXviu+++AwBcvnwZGRkZ8Pb2hhACv/zyC3Jzc1FUVIRt27ahR48e6NmzJ7Zu\n",
       "3YqioiIUFBRg69at6Nmzp8ZfBmtra40JumfPnti8eTPKy8tx9+5dHDx4EKGhoVX6hbKzs4ODg4O8\n",
       "b/Kbb75BeHg4gOr/QgLSFlVCQgIAYMuWLfK+xQEDBmDPnj3Iy8tDbm4ufvnlF0RGRmo8hkQigZeX\n",
       "F+7evYvjx48DAEpKSpCamgoAePToEZ555hmUlJTg22+/rfYfosjISHz99dfyvtysrCzcvXtXrdy9\n",
       "e/dQWlqKoUOHYuHChTh16pRamdDQUBw9ehSWlpZo2LAhAgMDsW7dOqUEr+n1aXvftXn48CEcHBzQ\n",
       "qFEj/Pnnn/J6AaQn4H/88UcAwMaNG9GzZ0/Y2tqiffv22LJlCwDpe3n27Fmd9fLw4UP5t6QNGzZo\n",
       "LFPZ74Tqt768vDw8efIEAJCTk4MjR47A19dX5zFsbW3x8OFDAEBYWBiOHDmCq1evApB+20pLS6ty\n",
       "XBkZGWjZsiUmTpyIiRMnqv3B8/LyQnZ2Nk6ePAkAyM/PR1lZmc7Psa7njYyMVOorlz1fREQE1q1b\n",
       "Jz/5n5ubq/ZaVQ0ZMgRJSUk4efKk1s9KXVbvWvCaEonqqI/XXnsN06ZNQ0BAAKysrJCQkABra2tI\n",
       "JBKEhoZi2LBhuHHjBsaMGYPOnTsDkLZIZd0CkyZNQmBgINLT09Web/LkyQgICMCzzz6Lb775Rr5/\n",
       "yJAhOHbsGAIDAyGRSLB8+XK0atUKFy9eVDuGpteQkJCAqVOnorCwEO7u7li/fr3G16bo3XffxaZN\n",
       "m1BUVAQ3NzdMmjQJ8+bNw4QJEzBmzBh4enrC0dER33//PQCgefPm+PDDD+VdF/Pnz5d/rdXE2toa\n",
       "W7ZswYwZM/DgwQOUlpZi1qxZ6NSpExYuXIiwsDC0bNkSYWFhePTokdbXp2kESEREBC5evIhu3boB\n",
       "kH7IZH8oFMtnZWVh3LhxKC8vBwAsXbpULc4GDRqgTZs26Nq1KwBpi37z5s3w9/fXGhMABAcHa3zf\n",
       "VckeGxUVhbVr16JTp07w8vKSxw5IW5ApKSn46KOP4OTkhM2bNwMAvvvuO0ybNg0fffQRSkpK8PLL\n",
       "LyMgIEBrTHFxcRg+fDgcHBzQt29f+RBXxXrR9jtx4sQJDB06FLm5udi5cyfi4uJw7tw5pKamYurU\n",
       "qbCwsEB5eTnmzp0Lb29vtccrmjx5MqKiouDi4oJ9+/Zhw4YNePnll+V/KBYtWqTWQlaNS7acnJyM\n",
       "5cuXw9raGra2tmrDcxs0aIDNmzfjjTfeQFFREZo0aYK9e/fq/ByrPo/i+ocffoiZM2ciICAA5eXl\n",
       "6NChA7Zv346JEyfi8uXLCAgIgLW1NSZPnozXXntN7bUqsra2Rt++feHg4FA/R9cYqrO/LlA8UVXX\n",
       "ffvtt2LAgAF6f57r168LiUQiP/FkaPv37xeurq61cqzevXuLL7/8slaOpUoikYirV6/q5djz588X\n",
       "r7766lPFMnXqVLFw4cJqP+dff/0lbGxs5CfDa5Ovr684cOBArR/XGMrKykRQUJC4cuWKsUN5KibZ\n",
       "RaNNbY3vri2HDx/Gc889B3t7ezg6OqJHjx7yr6mvvPIKdu/ebeQIn96UKVPUhhHqW1Xe38jISOzd\n",
       "u9dAEVVNTX4nP/vsM3zwwQeVlmvXrp38IiYAaNOmDfLz82v8eYiNjcWHH36otO38+fM6u8fqi9TU\n",
       "VHh6eqJ///5wd3c3djhPpd510dTE2LFj5ePDje3hw4eIjo7GunXrMGLECDx58gSHDh1SOiFb15WW\n",
       "lsLKSvOvUFJSEubPn2/giHQrKCjA77//jt69exvsOXXVkYwwwCgpTYMASLdOnTrJzzvUV2bVgq9L\n",
       "ZMO9Ro4cCYlEgkaNGiEiIkLeb7xhwwalE34WFhZYt24dOnbsCAcHB0yfPl2+r7y8HG+//TZatmyJ\n",
       "Dh06YM2aNfL+VkDaelPsW4yLi9M6imH9+vXo1KkTmjVrBnd3d3z++efyfcnJyXB1dcXHH38MZ2dn\n",
       "TJgwQeMxzp49C3t7e/nJQkVFRUWIjY1F8+bN4evrixMnTijtt7CwwLVr1+Trii3E3NxcREdHo1Wr\n",
       "VmjevDkGDRqErKwszRWswb59+9CjRw9YW1ur7ZNdoDVgwAA0a9YM4eHhyMjI0Hic8PBwpZE8mt6r\n",
       "Tz/9FJ6envDy8gIAvPnmm2jTpg3s7OwQEhKi8WIfbZYvX47WrVvD1dUVX3/9tVrcsvrJyclBdHQ0\n",
       "HBwc4OjoiF69ekEIgTFjxiAjIwODBg2Cra0tVqxYgfT0dKXfkfDwcMybNw89evRAs2bNEBkZiXv3\n",
       "7smfR/Zt08HBAW3atEFCQgK++OILbNy4ER9//DFsbW0xePBgAMq/b0+ePMHMmTPh4uICFxcXzJo1\n",
       "Sz5UVPb79Mknn8DJyQmtW7fWemKZng4TvJF4eXnB0tISsbGxSEpKkp/R1+W///0vTp48ibNnz+KH\n",
       "H36Qd+F8/vnnSEpKwpkzZ3Dq1Cls3bpV50koXV/LnZyc8N///hcPHz7E+vXrMWvWLKVRD7dv30Zu\n",
       "bi4yMjLkVyqqSkxMRHR0tMZ98fHxuH79Oq5du4bdu3cjISFBZzyKsQshMGHCBGRkZCAjIwONGzdW\n",
       "+kNXmcTERLzwwgta92/cuBHz5s1DTk4OgoKC8Morr1Qakzbbtm3DiRMn5KOOQkNDcebMGeTm5mL0\n",
       "6NEYPnx4pWPiAek3oZUrV2Lv3r24fPmyWveSYiwrV66Em5sbcnJycOfOHSxZsgQSiQTffPMN2rRp\n",
       "g507dyI/Px+zZ8/W+FybNm3Chg0bcOfOHRQXF8vHkf/1118YOHAg3nzzTeTk5OCPP/5AUFAQJk2a\n",
       "hFdeeQVz5sxBfn4+tm3bphbTokWLkJKSgjNnzuDMmTPyE9Eyt2/fxsOHD3Hz5k189dVXeP311/Hg\n",
       "wYNK64WqhgneSGxtbeUXWU2aNAmtWrXC4MGDdV6a/s9//hPNmjWDm5sb+vTpgzNnzgAAfvjhB8yc\n",
       "OROtW7eGvb095s6dq/PruK59AwcOlM9506tXLwwYMACHDh2S77ewsEB8fDysra3RqFEjjcdITEzE\n",
       "wIEDNe778ccf8f7778Pe3h6urq548803qzTsD5COAhoyZAgaNWoEGxsbvPfeezhw4IDOxyratWuX\n",
       "1rgAIDo6Gj169ECDBg2waNEiHDt2rFrfEBTNnTsX9vb28i63V155BQ4ODrCwsMBbb72FJ0+eVDpt\n",
       "ASB9b8ePH49OnTqhSZMmiI+P11q2QYMGyM7ORnp6OiwtLas1EZ5EIsG4cePg4eGBRo0aYcSIEfjj\n",
       "jz8ASP/wRUREYOTIkbC0tETz5s2VRhvpev9kfzRbtGiBFi1aYP78+fjmm2/k+62trTFv3jxYWlri\n",
       "+eefh42NTZXqhaqGCd6IvL29sX79emRmZuL8+fO4efMmZs6cqbW84rwzTZo0kQ9NzM7Ohpubm3yf\n",
       "q6vrU8e0a9cudO3aFY6OjnBwcEBiYqLSV/WWLVsqXcyiKi8vD3/++afSlY6Kbt68qRRrmzZtqhxb\n",
       "YWEhpkyZgnbt2sHOzg69e/fGgwcPqtS3fO7cOdjZ2cHFxUXjfolEolRvTZs2RfPmzXHz5s0qx6dI\n",
       "8TUCwIoVK9CpUyfY29vDwcEBDx48kM9Xo4vqe6upvmSv/5133oGHhwcGDBgAd3d3LFu2rFoxK/5+\n",
       "NW7cWP77lZmZ+dRX1N68eVN+hTkgjV+xTh0dHZXmzlH8vaaaY4KvI2QTbJ0/f77aj3V2dkZmZqZ8\n",
       "XXEZkCYr2QVFAOQThql68uQJhg0bhnfffRd37txBbm4uBg4cWK0ra3fv3o1+/fppLefs7KzUt63a\n",
       "z92kSROlmf2ys7OVuiAuX76MlJQUPHjwAAcOHKjyVA6Vdc8IIZTq7dGjR7h//77G8whVqU/F13/o\n",
       "0CEsX74cP/74o/wiMzs7uyrFXVl9KbKxscGKFStw9epVbN++HZ988gn279+vFk91tWnTRuvJxsqO\n",
       "27p1a6Snp8vXZVdYk2EwwRvJpUuX8Mknn8i7ADIzM7Fp0yali2d0UUxsI0aMwKpVq3Dz5k3k5eVh\n",
       "2bJlSh+8oKAgfP/99ygtLcXJkyfx008/afxgFhcXo7i4GC1atICFhQV27dqFPXv2VOt1VZZIR4wY\n",
       "gSVLliAvLw83btxQmtlRFut3332HsrIyJCUl4eDBg/J9jx49QuPGjWFnZ4f79+9r7K7QljR37dql\n",
       "My5Z7EeOHEFxcTE+/PBDdOvWTWOLPygoCD///DOKiopw5coVtakTVOXn58PKygotWrRAcXExFixY\n",
       "oPXKSVUjRozAhg0bcPHiRRQWFqq9ZsXXu3PnTly5cgVCCDRr1gyWlpby1rGTk1OlI0K01d3o0aOx\n",
       "d+9e/PjjjygtLcW9e/fk3YNOTk5KJ8VVvfzyy/joo4+Qk5ODnJwcLFiwoMrTFFDNMcEbia2tLX77\n",
       "7TeEhYXBxsYG3bp1Q0BAgPxGDpWdGFXcP2nSJAwYMEB+he0LL7yg9OFeuHAhrl69CgcHB8TFxamd\n",
       "PJQdx9bWFv/+978xYsQING/eHJs2bZKPjNAWhyIhBPbs2SOfeEyT+fPno23btmjfvj2ioqLwj3/8\n",
       "Q+mYq1atwo4dO+Dg4ICNGzdiyJAh8n0zZ85EUVERWrRogeeeew7PP/98la4SzsvLU5osSxOJRILR\n",
       "o0cjPj4ejo6OOH36NL799luNx501axYaNGgAJycnjBs3Dq+++qrO9yoqKgpRUVHo2LEj2rVrh8aN\n",
       "Gyt1teg6aRsVFYWZM2eib9++6Nixo9q3I8XHXrlyBREREbC1tcVzzz2H119/XT4kdO7cufjoo4/g\n",
       "4OCATz75RGOc2o7bpk0bJCYmYuXKlXB0dERwcLB8yoUJEyYgNTUVDg4OGDp0qFr8H3zwAUJCQhAQ\n",
       "EICAgACEhIQojduvS9elmCKJ4OBYk7Nr1y5MmzZN6auxIaSkpGDGjBlKc7TUBT/88AN+/vln+ZQN\n",
       "mowbNw6urq5YuHChASMj0q9KW/Djx4+Hk5OT0rweqmbMmAFPT08EBgZWa+Y8qh2PHz9GYmIiSktL\n",
       "kZWVhfj4eI2tKX2TSCQ6R3kYi4ODA2bNmqWzDNs5ZIoqTfDjxo3TetcfQNpveeXKFaSlpeHzzz/H\n",
       "tGnTajVAqpwQAnFxcWjevDk6d+4MX19fpbtVGUqXLl3q5Ix7ERERCAsL01mmrk1jQVQbqtRFk56e\n",
       "jkGDBuHcuXNq+6ZOnYo+ffrIb3bg7e2NAwcOwMnJqfajJSKiKqvxSdasrCy1Mdg3btyo6WGJiKiG\n",
       "amWyMdUvAdrmbCcioup72nNENW7Bu7i4KF0gcuPGDa1XC8rGbpv7v/nz51daZs8eAUAgMFD6c+ZM\n",
       "gbIygVatBFq2FCgvF5g3T7pP1z9ra+37unevWHZzkx5TCIGGDaXb+vWriGfNGvXHd+limLowl3+s\n",
       "C9aFpn81UeMEHxMTI79Dy/Hjx2Fvb8/+91qwZIn059/Xk+Bf/wJyc4E7d4C7d6U/q3IetaSkYjkh\n",
       "AYiMBP7zH2DAAGDTJuC99wB/f2DhQkD2JWvfPqB/f0BhIknExgIvvQT4+AB+fkDv3oDClCJEVAdV\n",
       "2kXz8ssv48CBA8jJyYGbmxvi4+NR8nfWmDJlCgYOHIjExER4eHigadOm8lvNUc1omsdLYaoQ6JqP\n",
       "qUcPQHU22v/9X+Af/5D+AwDZxYSLFkn/KereHfjlF+VtTZsCf99ylIjqiUoT/KZNmyo9yJo1a2ol\n",
       "GHMhu6G2Lo0bq29TvNf35cuAqyugej67eXPgyy+B11+XtsRlHB2fLlZ9q0pdmAvWRQXWRe3gVAVG\n",
       "UJVfXi0z8cpdviztslHUrx9w7x7g5QXs3QsoXpnfokX14zQEfpArsC4qsC5qBxN8HVXZnfsOHAAK\n",
       "CgDFu8HZ2iqX8fWtWK6rLXgi0h8m+Drml1+A48eBv++kplVKivSnYuJWHYmqeFEpEzyR+WGCr0Me\n",
       "PJCObunWTdo6rwod997AgAEVy3W1i4aI9IcJvg5RuHESbt/WXq5Pn4pllXt7KLG1BZKTgd27NZ+0\n",
       "JSLTVitXslLtUEzwV65oL9ejB+DgAPz8s3T4oqy1r3KXOADS8epEZJ6Y4A1ECPU+ctV9irfozM7W\n",
       "XLZFC2D2bGkffbNmwMSJQHGx9KKkuLhaD5uI6jGD3fBDIpHU+LLb+qqkBAgLAwICgA0blPedOgU8\n",
       "/zzw942cUNndzI4dA7p21UuYRFQH1SR3sg/eAE6dAk6flk4VoOr996XTDowZo9xFo43qUEgiIm2Y\n",
       "4A3g8WP1bRkZwJAhwMWLFduqkuBtbGovLiIybeyDNwBNCX7yZOnoFkW6Rs7IsAVPRFXFFrwBaErw\n",
       "mm5dqzh7IyA98Xr3rrSLR4YJnoiqii14A3jyRH1bfn7lj7O1lY6aadKkYpu1de3FRUSmjQneABSv\n",
       "Si0rAywtgaIizWXbtweuX5cuu7tLfzZpIp17RtdVq0REqthFYwCKrfWSEumUBNp88knFsrNzxXKv\n",
       "XhweSUTVwwRvAIoJvrgYyMvTXtbLq2K5WTP9xUREpo9dNAagmOA9PICWLbWXlXXLAEDr1vqLiYhM\n",
       "HxO8ATx6VLF89670nypvb+kVrQ0aSEfTfPopMGeO4WIkItPDqQoMYOxY6Y2udbl0CejY0TDxEFH9\n",
       "wakK6riqDIls2lT/cRCReWGCNwAmeCIyBiZ4A0hP17xd8WQrEzwR1TYmeD27fFn7zTvatKlY5hWq\n",
       "RFTbmOD1bN8+7fs8PQ0XBxGZHw6T1LM7d7Tv8/YG1q4FWrUyXDxEZD6Y4PVM11WrTZsCU6YYLhYi\n",
       "Mi/sotEzXfPO8MQqEekTE7yeMcETkbEwweuZri4axXneiYhqGxO8nty8CUydCqSkSNc1tdbZgici\n",
       "feJJVj2ZNAlITKxYt7VVvvGHbBsRkb6wBa8nv/+uvG5jo17G0dEwsRCReWKCNxBNrXUmeCLSJyZ4\n",
       "PVGc3bNhQ81TETRvbrh4iMj8MMEbQLNm0pttq7LiGRAi0iMmeD0QQnl4ZNu2mhM8EZE+VZrgk5KS\n",
       "4O3tDU9PTyxbtkxtf05ODqKiohAUFAQ/Pz9s2LBBH3HWC0+eAEFBgIWF9ObaMt26AeXlxouLiMyT\n",
       "zlv2lZW9JefpAAAbPUlEQVSVwcvLC3v37oWLiwu6dOmCTZs2wcfHR14mLi4OT548wZIlS5CTkwMv\n",
       "Ly/cvn0bVir9D+Zwy76UFCAsTHlbp07A/v1Av37A+fPK+0y8OoioFujtln0pKSnw8PBAu3btYG1t\n",
       "jVGjRmHbtm1KZZydnfHw4UMAwMOHD+Ho6KiW3M3F48fK68XFwIUL0tki2UVDRIamMxNnZWXBzc1N\n",
       "vu7q6orffvtNqcykSZPQt29ftG7dGvn5+fjhhx+0Hi8uLk6+HB4ejvDw8KeLuo66d095XXHkjGoX\n",
       "zbRp+o+HiOqf5ORkJCcn18qxdCZ4iURS6QEWL16MoKAgJCcn4+rVq4iIiMCZM2dgq2Hgt2KCN0U5\n",
       "Odr3Kbbgr1wB2rfXfzxEVP+oNn7j4+Of+lg6u2hcXFyQmZkpX8/MzISrq6tSmaNHj2L48OEAAHd3\n",
       "d7Rv3x6XLl166oDqM8UW/JAhyvsGDpT+7NYNcHeXnoglItInnWkmJCQEaWlpSE9PR3FxMTZv3oyY\n",
       "mBilMt7e3ti7dy8A4Pbt27h06RI6dOigv4jrMFmC9/MDEhKU9y1ZAmzYAOzYYfCwiMhM6eyisbKy\n",
       "wpo1axAZGYmysjJMmDABPj4+WLduHQBgypQpeO+99zBu3DgEBgaivLwcH3/8MZqb6SWasgT/5pvq\n",
       "UxM0aQKMHWv4mIjIfOkcJlmrT2TCwyTLygBLSyAiAti7F/j5Z/UuGiKip6G3YZJUuT17pK31iROl\n",
       "yR3gJGJEVDewBV9Dzs7ArVvK2/LzNU8PTERUXWzBG5G9vfL6ypVM7kRUNzDB15Bqd4xqwiciMhYm\n",
       "+BpSTfB2dsaJg4hIFRN8DbEFT0R1FRN8DanO5sAWPBHVFUzwNfTkifI6EzwR1RVM8DWkeGMPgF00\n",
       "RFR3MMHXEFvwRFRXMcHXkGoLvkED48RBRKSKCb6GVBM8EVFdwQRfQ4pdNMOGGS8OIiJV5nnz1Frw\n",
       "8cfAzZvAkSPS9UOHgO7djRsTEZEiJvinkJoKzJmjvM3GRn1MPBGRMbGL5ikUFKhva9jQ8HEQEenC\n",
       "BP8UNCV4jp4horqGCf4pXL2qvo0JnojqGib4alq9Wnr3JlXsoiGiuoZ3dKombSdSc3M5TQER1T7e\n",
       "0clA8vK072MLnojqGib4avjrL+372AdPRHUNE3wlLl0CXnkFSEsDioqU9yne7MPS0rBxERFVhgm+\n",
       "EjExwMaNwODBQGGh8r7mzY0TExFRVTDBV+LyZenPixeBuDjlfUzwRFSXMcFXwkKhhg4dUt7n4GDY\n",
       "WIiIqoMJvhLW1tr3sQVPRHUZE3wlrHRMx/bMM4aLg4ioujibZCV0teDDwoDZs4HOnQ0XDxFRVTHB\n",
       "V0JXC14iAZYvN1wsRETVwQRfCU0teAsLIDgYiI42fDxERFXFPngFT54AL70EfPVVxTZNFzAtXw6c\n",
       "PAk0bmy42IiIqosJXkFCAvDTT8qzRWq6qTYTOxHVB+yiUZCaWrGcnQ18+SVw5456uSZNDBcTEdHT\n",
       "YoJXkJFRsfzSS8DRo5rLMcETUX3ALhoFigleNbnv2VOx3KiRYeIhIqqJShN8UlISvL294enpiWXL\n",
       "lmksk5ycjODgYPj5+SE8PLy2YzSYmzc1b2/eHIiIqFgvLzdMPERENaGzi6asrAzTp0/H3r174eLi\n",
       "gi5duiAmJgY+Pj7yMnl5eXj99dexe/duuLq6IicnR+9B64umE6oA0LSp8npZmf5jISKqKZ0t+JSU\n",
       "FHh4eKBdu3awtrbGqFGjsG3bNqUyGzduxLBhw+Dq6goAaNGihf6i1bOSEs3bVRO8roufiIjqCp2p\n",
       "KisrC25ubvJ1V1dX/Pbbb0pl0tLSUFJSgj59+iA/Px9vvvkmxowZo/F4cQrz7YaHh9e57hzVG3rI\n",
       "2NhIfy5fDuzdCzz/vOFiIiLzkpycjOTk5Fo5ls4EL9F2h2kFJSUlOHXqFPbt24fCwkJ069YNXbt2\n",
       "haenp1rZONUJ1euQ0lLtLXhbW+nP2bOl/4iI9EW18RsfH//Ux9KZ4F1cXJCZmSlfz8zMlHfFyLi5\n",
       "uaFFixZo3LgxGjdujF69euHMmTMaE3xdpq31DlQkeCKi+kRnH3xISAjS0tKQnp6O4uJibN68GTEx\n",
       "MUplBg8ejMOHD6OsrAyFhYX47bff0KlTJ70GrQ9M8ERkanS24K2srLBmzRpERkairKwMEyZMgI+P\n",
       "D9atWwcAmDJlCry9vREVFYWAgABYWFhg0qRJ9TLBq95vVRETPBHVRxIhhDDIE0kkMNBTPZXUVMDX\n",
       "V/O+2bM5LTARGUdNcievZP0bu2iIyNQwwf+NXTREZGqY4P/GBE9EpoYJ/m+6umg4/zsR1UdM8H/T\n",
       "1YLn1AREVB8xwf9NVwte0237iIjqOiZ4SKcomDpV+34meCKqj5jgAWzaJJ2LRpuQEMPFQkRUW9i7\n",
       "DODXXyuWIyOlFzU1aiSdJvjxY0BhQk0ionqDCR7A4cMVy6GhgL+/8WIhIqotTPAAHj6U/vzoI2Dm\n",
       "TOPGQkRUWzgXDYBmzYD8fCAvD7CzM3Y0REQVOBdNDcmGSDZqZNw4iIhqk9kn+NJS6T+JBGjQwNjR\n",
       "EBHVHrNP8I8fS382aiRN8kREpoIJ/u8Ez/lmiMjUmH2CZ/87EZkqs07wQlTcqYkteCIyNWad4Hfv\n",
       "Blavli6zBU9EpsasE3xmZsUyW/BEZGrMOsErJnUmeCIyNUzwf2MXDRGZGrNO8Irj3jkGnohMjVkn\n",
       "+JKSiuUnT4wXBxGRPphtgj9wABg1qmKdCZ6ITI3ZJvjwcOX14mKjhEFEpDdmm+BVsQVPRKaGCf5v\n",
       "TPBEZGrMMsHfu6e+jQmeiEyNWSb4a9fUt3Xtavg4iIj0ySwTfH6+8rq1NfDZZ8aJhYhIX8wywcvm\n",
       "gJdZtAhwdDROLERE+mKWCV42B7wMb9VHRKbI5BP8zp2Atzdw9mzFNtUWPBM8EZkik0/wgwYBly4B\n",
       "48dXbFNtwTdsaNiYiIgModIEn5SUBG9vb3h6emLZsmVay504cQJWVlb4+eefazXA2lJaWrHMFjwR\n",
       "mQOdCb6srAzTp09HUlISUlNTsWnTJly8eFFjuTlz5iAqKgpCCL0FWxOKSZx98ERkDnQm+JSUFHh4\n",
       "eKBdu3awtrbGqFGjsG3bNrVyq1evxksvvYSWLVvqLdCa0pXg2UVDRKZIZ4LPysqCm5ubfN3V1RVZ\n",
       "WVlqZbZt24Zp06YBACR1dGJ1xQTPLhoiMgdWunZWJVnPnDkTS5cuhUQigRBCZxdNXFycfDk8PBzh\n",
       "qlM66hFb8ERUHyQnJyM5OblWjqUzwbu4uCBT4c7UmZmZcHV1VSrz+++/Y9TfE6vn5ORg165dsLa2\n",
       "RkxMjNrxFBO8obEFT0T1gWrjNz4+/qmPpTPBh4SEIC0tDenp6WjdujU2b96MTZs2KZW5pjCxy7hx\n",
       "4zBo0CCNyd3YeJKViMyNzgRvZWWFNWvWIDIyEmVlZZgwYQJ8fHywbt06AMCUKVMMEmRt0NWCJyIy\n",
       "RRJhoHGNsj56QxICsPj7NPLYscCGDdLlwYOB7dsryh07xtkkiahuqknuNOkrWRXneFesH9UWfHm5\n",
       "YeIhIjIkk07wBQUVy4r3XFXtg/fxMUw8RESGZDYJvqSkYlnWgt+/H7hzB3BwMGxcRESGYJYJXtaC\n",
       "d3AA6vDFt0RENWKyCf7cOSA7u2I9JQXIzZUuy1rwjRsbPi4iIkPROUyyvrpwAQgIUN526xYQGAhk\n",
       "ZFS07JngiciUmWQL/sQJzdszM6XdM9nZgJUV8Mwzho2LiMiQTDLBW1tr33f6tPRnhw66yxER1Xcm\n",
       "meDz8yuWVUfI7Nwp/enlZbh4iIiMwSQT/KNH0p+zZgF79yrv27FD+rNjR8PGRERkaCaZ4GUteFtb\n",
       "9W6Y8+elP1VPwhIRmRqzS/AAIJEAUVGGjYmIyNBMPsFrmgr42WeBVq0MGxMRkaGZZIKX9cFra8F3\n",
       "6GDYeIiIjMEkE3xlXTStWxs2HiIiYzC5BJ+XBzx8KF3WluCdnQ0bExGRMZjUVAWpqYCvb8W6jQ1b\n",
       "8ERkvkyqBf/ll8rr2lrwnKKAiMyBSSV4xZt6ANoTvI2NYeIhIjImk+qiUbxFHwA0awZYWlas29kB\n",
       "LVoAwcGGjYuIyBjqdQv+8WNg+nTg4EHpumKCt7QEmjaVXtQks3MncOkS0LChYeMkIjKGep3gV60C\n",
       "/vd/gd69peuKXTR2dsrJHZB21yi26ImITFm9TvB//aW8XlhYsdykiXp5K5PqkCIi0q1eJ/iyMuX1\n",
       "e/cqljW11J2c9BsPEVFdUq/btKoJPienYtlC4U9XcjJw+zbg6mqQsIiI6oR6neDLy5XX79+vWFZs\n",
       "wcv66ImIzIlJddHIJhkDeDKViKheJ3jFFnzHjtJhkzIW9fqVERHVXL1Og4ot+LQ05X1swRORuTOZ\n",
       "BK+KCZ6IzF29TvCqJ1kVzZ5tuDiIiOqiej2KRlML3sMD2LMHaN/e8PEQEdUl9boFrzq5GCCdf4bJ\n",
       "nYionid4xakJZDRNUUBEZI7qdYIvKlLfxpkiiYik6m2CLy3V3IInIiKpKiX4pKQkeHt7w9PTE8uW\n",
       "LVPb/9133yEwMBABAQHo3r07zp49W+uBKrp2DWjeHDh3Tn2fEHp9aiKieqPSUTRlZWWYPn069u7d\n",
       "CxcXF3Tp0gUxMTHw8fGRl+nQoQMOHjwIOzs7JCUlYfLkyTh+/Ljegl67FsjP17yPCZ6ISKrSFnxK\n",
       "Sgo8PDzQrl07WFtbY9SoUdi2bZtSmW7dusHOzg4AEBYWhhs3bmg81rRpwPvv1zxoW1vt+3SNjSci\n",
       "MieVtuCzsrLg5uYmX3d1dcVvv/2mtfxXX32FgQMHaty3dm0cAOmdlcLDwxEeHl69aP+mq5XOFjwR\n",
       "1WfJyclITk6ulWNVmuAlqve902H//v34+uuvceTIES0l4qT/x1X5kBop3thDFVvwRFSfqTZ+4+Pj\n",
       "n/pYlSZ4FxcXZGZmytczMzPhquHOGWfPnsWkSZOQlJQEBweHpw6oKnQleLbgiYikKu2DDwkJQVpa\n",
       "GtLT01FcXIzNmzcjJiZGqUxGRgaGDh2Kb7/9Fh4eHpU+6dO0sh88kE5BUF5ekeBnzlQvxwRPRCRV\n",
       "aYK3srLCmjVrEBkZiU6dOmHkyJHw8fHBunXrsG7dOgDAggULkJubi2nTpiE4OBihoaE6j6lrFkht\n",
       "Bg8GIiOBzz6ruDXfqFHq5QICqn9sIiJTJBHCMG1eaV++9KkKC4HGjav+2OLiiitUfXykN/a4fl06\n",
       "B7ynp3S7rS3wxhvAO+8A9va1GzsRkbFIJBI8bZo2SoJ/+FD3UEdVrVoBd++qb79/X3rBEwA8/zyQ\n",
       "mFjzOImI6pKaJHijTFVQWlr1ssXFmpO7hQVgZyftl+/dG/j009qLj4jIFBilBX/nDtCyZdUed/eu\n",
       "tAWvqkULzYmfiMiUmHQL/sEDzdsdHWsnFiIiU2WUBK9tFE1+vvRE6YkTFdvy8jSXZYInItKtTrXg\n",
       "Fy8G1qwBFEdZamvBc953IiLd6lSCv3q1Yvnnn6Xj3bW14KsxgwIRkVmqUwneSmHihGHDpBctaWvB\n",
       "84pVIiLd6myCB4DsbOk/IiKqvjqV4C0t1bdt3665rIb5zoiISEGdSvCPH6tvO3VKeT05GRgyBFi+\n",
       "vNbDIiIyKZVOF6wP2oZJaupvV/1j0Lu39B8REelWp1rw2kbMEBFR9dWpBK9txAwREVVfvUjw1Zla\n",
       "mIiIpIyS4LduBfbtU9+urYvGy0u/8RARmSKjzCYpo/jMJSVAgwaaHzt8OPDjj+qPISIydTWZTdIo\n",
       "o2hkSkoAa2vp8v370p+OjsDOndJEXlwsvQfrhg1GC5GIqN4yaoLPz6+4I5PsRtotWgBduyqX+/VX\n",
       "w8ZFRGQKjJrgHz1ST/CapgGeM0d6k5BXXzVcbERE9Z3RW/AyuhK8jQ2wbp1hYiIiMhVGGUUjU9UE\n",
       "T0RE1WfUBD9uHPDPf0pPsE6cKN3WooUxIyIiMh1G7aL580/pv/Lyim1swRMR1Q6jtuBlrl2rWC4u\n",
       "Nl4cRESmpE4k+D/+qFju0sV4cRARmRKjXsmq6sUXpfdi5f1WiYikanIla51owcuMHs3kTkRUW+pU\n",
       "gucJViKi2lOnEjyHSBIR1R6jJ3h7+4pltuCJiGqP0RN8cHDFMhM8EVHtMeqFTgDg7Q3cugU0aQI0\n",
       "amTsaIiITIfRE7ytLXD2rLGjICIyPUZP8E2aAFZGj4KIyPRU2geflJQEb29veHp6YtmyZRrLzJgx\n",
       "A56enggMDMTp06erFUBZWbWKm4Tk5GRjh1BnsC4qsC4qsC5qh84EX1ZWhunTpyMpKQmpqanYtGkT\n",
       "Ll68qFQmMTERV65cQVpaGj7//HNMmzatWgE8flz9oOs7/vJWYF1UYF1UYF3UDp0JPiUlBR4eHmjX\n",
       "rh2sra0xatQobNu2TanM9u3bMXbsWABAWFgY8vLycPv27SoHUFT0FFETEVGldCb4rKwsuLm5yddd\n",
       "XV2RlZVVaZkbN25UOYBmzapclIiIqkHn6U1JFSeGUZ0IR/vj1LcvXiz9Z27i4+ONHUKdwbqowLqo\n",
       "wLqoOZ0J3sXFBZmZmfL1zMxMuLq66ixz48YNuLi4qB3LQJNWEhHR33R20YSEhCAtLQ3p6ekoLi7G\n",
       "5s2bERMTo1QmJiYG//nPfwAAx48fh729PZycnPQXMRERVYnOFryVlRXWrFmDyMhIlJWVYcKECfDx\n",
       "8cG6desAAFOmTMHAgQORmJgIDw8PNG3aFOvXrzdI4EREVAmhZ7t27RJeXl7Cw8NDLF26VN9PZ3Tj\n",
       "xo0TrVq1En5+fvJt9+7dE/379xeenp4iIiJC5ObmyvctXrxYeHh4CC8vL7F7925jhKw3GRkZIjw8\n",
       "XHTq1En4+vqKVatWCSHMsz6KiopEaGioCAwMFD4+PuKf//ynEMI860KmtLRUBAUFiejoaCGE+dZF\n",
       "27Zthb+/vwgKChJdunQRQtReXeg1wZeWlgp3d3dx/fp1UVxcLAIDA0Vqaqo+n9LoDh48KE6dOqWU\n",
       "4N955x2xbNkyIYQQS5cuFXPmzBFCCHHhwgURGBgoiouLxfXr14W7u7soKyszStz6kJ2dLU6fPi2E\n",
       "ECI/P1907NhRpKammm19FBQUCCGEKCkpEWFhYeLQoUNmWxdCCLFy5UoxevRoMWjQICGE+X5O2rVr\n",
       "J+7du6e0rbbqQq8J/ujRoyIyMlK+vmTJErFkyRJ9PmWdcP36daUE7+XlJW7duiWEkCY9Ly8vIYT0\n",
       "L7Hit5rIyEhx7NgxwwZrQIMHDxa//PKL2ddHQUGBCAkJEefPnzfbusjMzBT9+vUTv/76q7wFb651\n",
       "0a5dO5GTk6O0rbbqQq/TBVdlHL05uH37tvzEs5OTk/xCsJs3byqNSjLl+klPT8fp06cRFhZmtvVR\n",
       "Xl6OoKAgODk5oU+fPvD19TXbupg1axaWL18OC4uKFGSudSGRSNC/f3+EhITgiy++AFB7daHXab6q\n",
       "Oo7enEgkEp31Yop19ujRIwwbNgyrVq2Cra2t0j5zqg8LCwv88ccfePDgASIjI7F//36l/eZSFzt3\n",
       "7kSrVq0QHBysdUoCc6kLADhy5AicnZ1x9+5dREREwNvbW2l/TepCry34qoyjNwdOTk64desWACA7\n",
       "OxutWrUCUPVrCOqzkpISDBs2DGPGjMGLL74IwLzrAwDs7Ozwwgsv4PfffzfLujh69Ci2b9+O9u3b\n",
       "4+WXX8avv/6KMWPGmGVdAICzszMAoGXLlhgyZAhSUlJqrS70muCrMo7eHMTExCAhIQEAkJCQIE90\n",
       "MTEx+P7771FcXIzr168jLS0NoaGhxgy1VgkhMGHCBHTq1AkzZ86UbzfH+sjJyUFeXh4AoKioCL/8\n",
       "8guCg4PNsi4WL16MzMxMXL9+Hd9//z369u2Lb775xizrorCwEPn5+QCAgoIC7NmzB/7+/rVXF7V/\n",
       "ykBZYmKi6Nixo3B3dxeLFy/W99MZ3ahRo4Szs7OwtrYWrq6u4uuvvxb37t0T/fr10zjkadGiRcLd\n",
       "3V14eXmJpKQkI0Ze+w4dOiQkEokIDAwUQUFBIigoSOzatcss6+Ps2bMiODhYBAYGCn9/f/Hxxx8L\n",
       "IYRZ1oWi5ORk+Sgac6yLa9euicDAQBEYGCh8fX3lObK26kIiBOcQICIyRUa/6TYREekHEzwRkYli\n",
       "giciMlFM8EREJooJnozu3r17CA4ORnBwMJydneHq6org4GB07twZpaWlAIAdO3Zovem7zIYNG/DG\n",
       "G29o3G5paYlz587Jt/n5+SEjI6NW4rexsamV4xDVNr1eyUpUFY6Ojjh9+jQA6V18bG1t8dZbb8n3\n",
       "l5WVYdCgQRg0aJDO4+i6os/V1RWLFi3C999/X2nZ6qrJscrKymBpaVlrsRApYgue6hwhBGJjYzF1\n",
       "6lR07doV7777LhISEuSt8x07dqBr167o3LkzIiIicOfOHZ3Hk0gkiI6OxoULF3D58mW1/Yot8C1b\n",
       "tmDcuHEAgNjYWLz22mvo1q0b3N3dkZycjLFjx6JTp07yMjJvvfUW/Pz80L9/f+Tk5AAArl69iuef\n",
       "fx4hISHo1asXLl26JD+u7LXNmTPn6SuKqBJM8FQnSSQS3Lx5E8eOHcPKlSuV9vXs2RPHjx/HqVOn\n",
       "MHLkSHz88ccAdN8W0sLCAu+++y4Wa7gBsGILXLU1npeXh2PHjuF//ud/EBMTg3fffRcXLlzAuXPn\n",
       "cPbsWQDSKxC7dOmC8+fPo3fv3vJ7iU6ePBmrV6/GyZMnsXz5crz22mvy48pe24oVK6pZM0RVxy4a\n",
       "qrOGDx+usfsjMzMTI0aMwK1bt1BcXIwOHTpU6XijR4/GokWLkJ6eXqXyEolE3i3k5+eHZ555Br6+\n",
       "vgAAX19fpKenIyAgABYWFhg5ciQA4NVXX8XQoUNRUFCAo0ePYvjw4fLjFRcXy4+r7bUR1SYmeKqz\n",
       "mjRponH7G2+8gdmzZyM6OhoHDhxAXFxclY5naWmJt99+G0uXLlXarphoi4qKlPY1aNAAgPQbQMOG\n",
       "DeXbLSws5CeAFQkhIJFIUF5eDgcHB/m5haq+NqLaxC4aqhcUu18ePnyI1q1bA5COkKnOY2NjY7F3\n",
       "717cvXtXvs3JyQl//vknysvL8X//93/VblmXl5fjxx9/BABs3LgRPXv2hK2tLdq3b48tW7bIY5B1\n",
       "6RAZChM81VmqfeOy9bi4OAwfPhwhISFo2bKlfLu2ebMVt1tbW+PNN99USvBLly5FdHQ0unfvLv/D\n",
       "oS0GTZo2bYqUlBT4+/sjOTkZ8+bNAwB89913+OqrrxAUFAQ/Pz9s37690mMR1SZONkZEZKLYgici\n",
       "MlFM8EREJooJnojIRDHBExGZKCZ4IiITxQRPRGSi/h89zURZUD795wAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1789e1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(1,len(P['sg / du / pl'])+1), P['sg / du / pl'], '-', linewidth=2)\n",
    "plt.title('Singular / dual / plural distinction')\n",
    "plt.xlabel('Trial Number')\n",
    "plt.suptitle('Proportion of 100 learners who label all 15 items correctly')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Singular, dual, trial, plural"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data['Outcomes'] = 'plural'\n",
    "data['Outcomes'][1] = 'singular'\n",
    "data['Outcomes'][2] = 'dual'\n",
    "data['Outcomes'][3] = 'trial'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "P['sg / du / tr / pl'] = [population_accuracy(M=i) for i in xrange(1,MAX_TRIALS)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x17b12668>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEdCAYAAAAGpHxPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XlcE0f/B/BPOFRQBESlCCgKCMhNETyK4oFYi3hVq7Y+\n",
       "4q19PHtorW0Fq9azfWz9tVpblXpb23q0itYDzype9UIFFQqCWlEuATnC/P5Yk+zmIkgIIfm+Xy9e\n",
       "2Z2d7E42yZfJ7OyMiDHGQAghxOCY1HUBCCGE1A4K8IQQYqAowBNCiIGiAE8IIQaKAjwhhBgoCvCE\n",
       "EGKg6l2ANzU1RWBgIHx9fTFs2DCUlJTo9PiLFy8WrHft2rVWj3fr1i0EBATg1VdfRVpammDbvHnz\n",
       "0Lp1a1hZWQnSS0tL8dZbb8Hd3R2dOnXCP//8I90WHx+P9u3bo3379vjpp5+UHjMmJga//PKL9l9M\n",
       "HYmNjcXKlStf+vkuLi54+vSp2jxNmjSp1TJt3LgR06ZNU/vcEydOICgoCObm5grvn+R7ExgYiIED\n",
       "Byo9xvz583H06FEAwP/+9z+df7fqivxr1eT9ri/qXYC3tLTE5cuXce3aNTRo0ABr1qwRbK+oqKi1\n",
       "Y1dWVuKLL74QpJ0+fbrWjgcAu3fvxtChQ3Hx4kW0bdtWsG3AgAFISkpSeM6PP/4IOzs7pKamYtas\n",
       "WZgzZw4A4OnTp1iwYAGSkpKQlJSEuLg45OXlKTxfJBJBJBLVuOxisbhGz2eMQRu3adT0tWjy/Ooe\n",
       "oyb5VT23TZs2iI+Px8iRIxW2Sb43ly9fxu7du5U+Py4uDj179gQArFq1CsXFxdUqY12Q/76/zPdf\n",
       "/rVq47OvL+pdgOcLCwvDnTt3cPz4cYSFhWHAgAHw8fFBaWkpxowZAz8/PwQFBSExMREAVwsaMGAA\n",
       "evTogfbt22PBggXSfX355Zfw9fWFr68vVq1aBQBIT0+Hh4cHRo8eDR8fH4wfPx4lJSUIDAzEqFGj\n",
       "AMhqbowxfPjhh/D19YWfnx927twJAEhMTER4eDiGDh0KLy8vvPPOO0pfy99//41OnTrB398fgwcP\n",
       "Rl5eHvbv349Vq1bhu+++k37x+EJCQvDKK68opO/duxejR48GAAwZMgRHjhwBABw8eBB9+vSBjY0N\n",
       "bGxsEBERgYSEBKXlkQTWixcvIjw8HMHBwejbty8ePnwIAFi3bh1CQkIQEBCAN998U1oDiomJweTJ\n",
       "k9GpUyfMnj0bY8aMwfTp09G1a1e4uroKapbLly9HSEgI/P39ERsbq3DOfX19kZmZiZiYGOl5/d//\n",
       "/icop1gsRrt27QAAeXl5MDU1xalTpwAA3bp1w507dwAAycnJ6NGjB1xdXfHNN99In6/sfVdn0KBB\n",
       "CA4Oho+PD9atWyfY9t5778HHxwe9e/dGTk4OAODu3bt4/fXXERwcjG7duuH27dtq979v3z506tQJ\n",
       "QUFBiIiIwL///ltlmSTatGkDX19fmJi83Nda8svtm2++QXZ2Nnr06IFevXoBAA4dOoQuXbrg1Vdf\n",
       "xbBhw1BUVASAq+1+/PHHCAwMRHBwMC5duoQ+ffrAzc0Na9euBQA8ePAA3bp1k/7ylrw/fOfPn0fX\n",
       "rl0REBCA0NBQFBUV4fnz5yq/x9HR0ejVqxd69+6N+Ph46XpERASKi4sxduxYhIaGIigoCHv37gXA\n",
       "fVY++OAD+Pr6wt/fH6tXr1b6WgHu8z9//nzBZ2LevHn4+uuvX+rc1hlWzzRp0oQxxlh5eTmLjo5m\n",
       "a9asYYmJiaxx48YsPT2dMcbYihUr2Lhx4xhjjN26dYu1bt2aPX/+nG3YsIE5ODiwp0+fspKSEubj\n",
       "48MuXLjALly4wHx9fVlxcTF79uwZ8/b2ZpcvX2ZpaWnMxMSEnTt3TuH48uu7du1iERERrLKykj16\n",
       "9Ii1bt2aPXjwgB07doxZW1uzrKwsVllZyTp37sxOnTql8Lp8fX3ZiRMnGGOMffbZZ2zmzJmMMcZi\n",
       "Y2PZypUrNTonEj4+PiwrK0u67urqynJyctiKFSvYwoULpemff/45W7FihcL+YmJi2C+//MLKyspY\n",
       "586dWU5ODmOMse3bt7OxY8cyxhh78uSJNP8nn3zCvvnmG8YYY6NHj2b9+/dnlZWV0n0NGzaMMcZY\n",
       "cnIyc3NzY4wxdvDgQTZx4kTGGGNisZhFRUWxEydOKJzzCxcusIiICOmx8vLyFMrbt29fduPGDbZv\n",
       "3z7WsWNHtmjRIvb8+XPWtm1bxhhj8+fPZ126dGFlZWUsJyeH2dnZsYqKCpXvuzwXFxfp63369Clj\n",
       "jLHi4mLm4+MjXReJRGzr1q2MMcYWLFjApk6dyhhjrGfPniw1NZUxxtjZs2dZz549GWPc+6rs3Ofm\n",
       "5kqX161bx95//33GGGMbNmyQ7lPVcyViYmLYrl27BGlmZmYsKCiIderUie3evVvl83755ReF1/z4\n",
       "8WPWrVs3VlxczBhjbMmSJWzBggXSfGvWrGGMMTZr1izm6+vLnj17xh4/fszs7e0ZY9z3cdGiRYwx\n",
       "xiorK1lhYaHguKWlpaxdu3bswoULjDHGCgsLWUVFhdrvsZOTk/Rcya/PnTuXbd68WXo+27dvz4qK\n",
       "iti3337Lhg4dysRiMWNM9l7yXyt/PT09nQUFBTHGuM+oq6ur9Dn1hVld/4OpLkkNGuBqaGPHjsXp\n",
       "06cREhKCNm3aAOCaTaZPnw4A8PDwQJs2bZCSkgKRSIQ+ffrA1tYWADB48GCcOnUKIpEIgwcPhoWF\n",
       "hTT95MmTiI6ORps2bRASElJluU6dOoWRI0dCJBKhZcuW6N69O86fP4+mTZsiJCQErVq1AgAEBAQg\n",
       "PT1d0Hafn5+P/Px8hIWFAQBGjx6NoUOHAtBeM0V1McZw+/Zt3LhxA7179wbA1YAkr+PatWv45JNP\n",
       "kJ+fj2fPnqFv374AuJ+3Q4cOFfzMlbT5enl54dGjRwC4GuGhQ4ek72VRURHu3LkDZ2dnwTl3dXXF\n",
       "vXv3MH36dLzxxhvo06ePQlnDwsJw4sQJpKWlYe7cuVi3bh26d++Ojh07SssUFRUFc3Nz2NnZoWXL\n",
       "lnj48CFOnTql9H0PCAhQeV5WrVolbeLIzMxEamoqQkJCYGJigrfeegsA8M4772Dw4MEoKirCmTNn\n",
       "pO8lAJSVlak975mZmRg2bBgePnyIsrIy6a+TmsrIyICDgwPS0tLQs2dP+Pr6arzvs2fPIjk5GV26\n",
       "dAHAvQbJMgBER0cDAHx9fVFUVITGjRujcePGaNiwIQoKChASEoKxY8eivLwcAwcOhL+/v2D/t2/f\n",
       "hoODA1599VUAsl/F6r7HERERsLGxAQCF9UOHDmHfvn1YsWIFAO6aVEZGBo4cOYIpU6ZIf+FI4oAq\n",
       "bdq0gZ2dHf7++288fPgQQUFBVT5H39S7AG9hYYHLly8rpDdu3FiwrklQZIxJAxE/Pz9dfr+qiEQi\n",
       "hWNK9tGwYUNpmqmpaZXthPz9vEx7oKOjIzIyMtCqVStUVFQgPz8fdnZ2cHR0lP7MBbhgoqzph8/b\n",
       "2xtnzpxRSI+JicHevXvh6+uL+Ph4wX4tLS0FeRs0aCBd5r+2uXPnYuLEiYK86enpgnNuY2ODq1ev\n",
       "IiEhAWvWrMHOnTvx448/Cp7TrVs3fPvtt3jw4AEWLFiA5cuXIzExEd26dVNaBsl7IP+e8d93ZRIT\n",
       "E3HkyBGcPXsWjRo1Qo8ePfD8+XOFfJL9VFZWwtbWVunnVZVp06bhgw8+QFRUFI4fPy5tuqou+dfh\n",
       "4OAAAGjbti3Cw8Nx+fLlav3ziIiIwNatW5Vuk3y+TUxMBOfZxMQEFRUVCAsLw8mTJ/H7778jJiYG\n",
       "7733nrSJsyqqvsfy30v59V9//RXu7u4a70+V8ePHY8OGDXj06BHGjh1brefqg3rdBq9KWFgYtmzZ\n",
       "AgBISUlBRkYGPD09wRjDn3/+idzcXJSUlGDPnj147bXXEBYWht27d6OkpARFRUXYvXs3wsLClH4Y\n",
       "zM3NlQbosLAw7NixA5WVlXj8+DFOnDiBkJAQjT5Q1tbWsLW1lbZNbtq0CeHh4QCq/4EEuBpVfHw8\n",
       "AGDXrl3StsU+ffrg0KFDyMvLQ25uLv78809ERkYq3YdIJIKHhwceP36Ms2fPAgDKy8uRnJwMAHj2\n",
       "7BleeeUVlJeXY/PmzdX+RxQZGYn169dL23KzsrLw+PFjhXxPnjxBRUUFBg8ejM8//xyXLl1SyBMS\n",
       "EoIzZ87A1NQUDRs2hL+/P9auXSsI8Mpen6r3XZWCggLY2tqiUaNGuHXrlvS8ANwF+J9//hkAsHXr\n",
       "VoSFhcHKygpt27bFrl27AHDv5dWrV9Wel4KCAumvpI0bNyrNU9VnQv5XX15eHkpLSwEAOTk5OH36\n",
       "NLy9vdXuw8rKCgUFBQCA0NBQnD59Gnfv3gXA/dpKTU3VuFwZGRlo0aIFxo8fj/Hjxyv8w/Pw8MCD\n",
       "Bw9w4cIFAEBhYSHEYrHa77G640ZGRgrayiXHi4iIwNq1a6UX/3NzcxVeq7xBgwYhISEBFy5cUPld\n",
       "0Wf1rgavLJDI9/p49913MWXKFPj5+cHMzAzx8fEwNzeHSCRCSEgIhgwZgvv372PUqFEICgoCwNVI\n",
       "Jc0CEyZMgL+/P9LT0xWON3HiRPj5+eHVV1/Fpk2bpNsHDRqEv/76C/7+/hCJRFi+fDlatmyJmzdv\n",
       "KuxD2WuIj4/H5MmTUVxcDFdXV2zYsEHpa+ObPXs2tm3bhpKSEjg7O2PChAn47LPPMG7cOIwaNQru\n",
       "7u6ws7PD9u3bAQDNmjXDp59+Km26mD9/vvRnrTLm5ubYtWsXpk+fjvz8fFRUVGDWrFno0KEDPv/8\n",
       "c4SGhqJFixYIDQ3Fs2fPVL4+ZT1AIiIicPPmTXTu3BkA9yWT/KPg58/KysKYMWNQWVkJAFiyZIlC\n",
       "ORs0aIDWrVujU6dOALga/Y4dO+Dr66uyTAAQGBio9H2XJ3lu3759sWbNGnTo0AEeHh7SsgNcDTIp\n",
       "KQkLFy6Evb09duzYAQDYsmULpkyZgoULF6K8vBwjRoyAn5+fyjLFxsZi6NChsLW1Rc+ePaVdXPnn\n",
       "RdVn4vz58xg8eDByc3Px+++/IzY2FteuXUNycjImT54MExMTVFZWYu7cufD09FR4Pt/EiRPRt29f\n",
       "ODo64siRI9i4cSNGjBgh/UexaNEihRqyfLkky4mJiVi+fDnMzc1hZWWl0D23QYMG2LFjB6ZNm4aS\n",
       "khJYWlri8OHDar/H8sfhr3/66aeYOXMm/Pz8UFlZiXbt2mHv3r0YP348UlJS4OfnB3Nzc0ycOBHv\n",
       "vvuuwmvlMzc3R8+ePWFra1s/e9foqrFfH/AvVNWWzZs3sz59+tTqMRhjLC0tjYlEIukFI107duwY\n",
       "c3Jy0sq+unfvzn744Qet7EsVb29vdvz4cY3yikQidvfuXa2XQZvnTJnqnEf5slTn/PDV1uf9n3/+\n",
       "YU2aNJFerK8rYrGYBQQEsDt37tRpOV6WQTbRqKKt/t2nTp1Cly5dYGNjAzs7O7z22mvSn5dvv/02\n",
       "Dh48WONj1JVJkyYpdP+rbZq8L5GRkTh8+LBCekxMDD799NMqj3H9+nW1TTbVUVZWhhYtWuhdP/Ga\n",
       "fL41OT/p6enSXwES2vq8u7i4SG+yAoDWrVujsLCwTmvNycnJcHd3R+/eveHq6lpn5aiJetdEUxOj\n",
       "R4+W9g9/WQUFBYiKisLatWsxbNgwlJaW4uTJk4ILqfquoqICZmbK3/qEhATMnz9fxyVSr6ioCBcv\n",
       "XkT37t2r/Vx1r/VlnThxAoGBgQoXk2tTbbyOl8VqoVeXsk4Kda1Dhw7S6w71lVHV4LVB0k3rrbfe\n",
       "gkgkQqNGjRARESFt7924caPgQp2JiQnWrl2L9u3bw9bWFlOnTpVuq6ysxPvvv48WLVqgXbt2WL16\n",
       "taCG5OLiImgTjI2NVdn7YMOGDejQoQOaNm0KV1dXfP/999JtiYmJcHJywrJly+Dg4IBx48Yp3cfV\n",
       "q1dhY2MjvcjHV1JSgpiYGDRr1gze3t44f/68YLuJiQnu3bsnXefXrHNzcxEVFYWWLVuiWbNm6N+/\n",
       "P7KyspSfYCWOHDmC1157Debm5oL077//Hlu3bsWyZctgZWWFAQMGAODO27Jly+Dn5wcrKyuIxWJB\n",
       "DTEpKQmdO3eGra0tWrVqhWnTpqG8vFzj8uzfvx/9+vVTus3FxQVLliyBt7c3mjVrhrFjx0rbreWp\n",
       "O2fK3rO8vLyXPo9VvX/y5yc4OBjW1tZ45ZVX8MEHHwCAtIZvY2ODpk2b4uzZs9X6vAPcDXKSz6m3\n",
       "tzcuX76MUaNGISMjA/3794eVlRVWrFih8GshOzsb0dHRsLOzg7u7O3744QfpPmNjYzFs2DCMHj0a\n",
       "TZs2hY+PDy5evKjReTF0FOCrycPDA6ampoiJiUFCQoL0Srw6f/zxBy5cuICrV69i586d0p+033//\n",
       "PRISEnDlyhVcunQJu3fvVnvxSN3PVXt7e/zxxx8oKCjAhg0bMGvWLEFvhUePHiE3NxcZGRnSOwzl\n",
       "7d+/H1FRUUq3xcXFIS0tDffu3cPBgwcRHx+vtjz8sjPGMG7cOGRkZCAjIwMWFhYKX3x19u/fjzfe\n",
       "eEMhfeLEiXj77bcxZ84cFBYWYs+ePdJt27dvx4EDB6R3t/LLamZmhlWrVuHJkyf466+/cOTIEXz7\n",
       "7bcal+fAgQNKyyOxdetWHDp0CHfv3kVKSgoWLlyo0X7l32/596yysvKlz2NV7x9/ecaMGZg1axby\n",
       "8/Nx7949aT/+kydPAuDu2ygoKJBe1Jan6vP+888/Iy4uDps2bUJBQQH27t0LOzs7bNq0Ca1bt8bv\n",
       "v/+OwsJC6T8UvuHDh6N169Z48OABdu3ahY8//hjHjh2Tbt+3bx9GjBiB/Px8REdHV+vzZcgowFeT\n",
       "lZWV9OaoCRMmoGXLlhgwYIDaW8o/+ugjNG3aFM7OzujRoweuXLkCANi5cydmzpyJVq1awcbGBnPn\n",
       "zlX7M1Xdtn79+knHqunWrRv69Okj/UICXM0qLi4O5ubmaNSokdJ9qKuZ/vzzz5g3bx5sbGzg5OSE\n",
       "GTNmaNRdD+B67wwaNAiNGjVCkyZN8PHHH+P48eNqn8t34MABleXiH0dCJBJh+vTpcHR0VNp0FhQU\n",
       "JL05qU2bNpg4caLG5bl79y4qKiqU9rGWHHvq1KlwdHSEra0t5s2bh23btmm0b/nXIv+e1eQ8Vuf9\n",
       "a9CgAVJTU5GTkwNLS0uEhoYqlE0dVZ/3H374AXPmzJHe0OTq6orWrVtXub/MzEycOXMGS5cuRYMG\n",
       "DeDv74/x48cLeuOEhYWhb9++EIlEeOedd6THNHYU4F+Cp6cnNmzYgMzMTFy/fh3Z2dmYOXOmyvz8\n",
       "8WIsLS2lXQofPHgAZ2dn6TYnJ6eXLtOBAwfQqVMn2NnZwdbWFvv378eTJ0+k21u0aCG4CUVeXl4e\n",
       "bt26JbhDkS87O1tQVk2+mBLFxcWYNGkSXFxcYG1tje7duyM/P1+jgHHt2jVYW1vD0dFR4+MBEJRV\n",
       "XkpKCqKiouDg4ABra2vMmzdPcK7UUfdPUNmxW7dujezsbM0KLUf+PavJeazO+/fjjz8iJSUFXl5e\n",
       "CAkJwR9//FGtcqv6vN+/f/+lLlZmZ2ejWbNmgpuZWrduLWiesre3Fxzz+fPngovBxooCfA1JBsa6\n",
       "fv16tZ/r4OCAzMxM6Tp/GeD6VktuBAIgHehLXmlpKYYMGYLZs2fj33//RW5uLvr161etO2IPHjyI\n",
       "Xr16qczn4OCAjIwM6Tp/GeC+VPxeJQ8ePJDua+XKlUhJSUFSUhLy8/Nx/PhxjYdgUNU8U9XrUvd6\n",
       "p0yZgg4dOuDOnTvIz8/HokWLNA4GmgR4+fOk7JoGoP6cKXsNNTmPVb1/fG5ubti6dSseP36MOXPm\n",
       "SAeTq2mPFmdnZ+ngb/LU7btVq1Z4+vSp4F6LjIyMGlWIjAUF+Gq6ffs2vvzyS2ntITMzE9u2bRPc\n",
       "9KIO/ws5bNgwrFq1CtnZ2cjLy8PSpUsFH/SAgABs374dFRUVuHDhAn755RelX4SysjKUlZWhefPm\n",
       "MDExwYEDB3Do0KFqva6qAumwYcPwxRdfIC8vD/fv3xeMyCgp65YtWyAWi5GQkIATJ05Itz179gwW\n",
       "FhawtrbG06dPERcXp/S8KFNVe7e9vb3gQqUmnj17BisrK1haWuLWrVv47rvvNHpecXExzp8/jx49\n",
       "eqjMwxjDt99+i6ysLDx9+hSLFi3C8OHDleZVd85Ulftlz2NV7x/f5s2bpXcVW1tbQyQSwcTEBC1a\n",
       "tICJiUm1epbwP+/jx4/HihUrcOnSJTDGcOfOHek/Gnt7e5X7dXZ2RpcuXTB37lyUlpbi6tWrWL9+\n",
       "vcqRWYkMBfhqsrKywrlz5xAaGoomTZqgc+fO8PPzk07AUNWFUf72CRMmoE+fPtI7Y9944w2YmppK\n",
       "B0P6/PPPcffuXdja2iI2NhZvv/22wr4kZfr6668xbNgwNGvWDNu2bZP2KFFVDj7GGA4dOiQdMEyZ\n",
       "+fPno02bNmjbti369u2L//znP4J9rlq1Cvv27YOtrS22bt2KQYMGSbfNnDkTJSUlaN68Obp06YLX\n",
       "X39do7t78/LyBINcKTNu3DgkJyfD1tYWgwcPVpmPb8WKFdi6dSuaNm2KiRMnYvjw4RpdzD569Ci6\n",
       "dOmitqlLJBJh5MiR6NOnD1xdXeHu7o5PPvlE6b7VnTNl5XjZ8whU/f7xHTx4ED4+PrCyssKsWbOw\n",
       "fft2NGzYEJaWlpg3bx66du2KZs2a4dy5c9X6vL/55puYN28eRo4ciaZNm0rvugW4cYkWLlwIW1tb\n",
       "fPnllwr72rZtG9LT09GqVSsMHjwYCxYskI6jpKz/f72867QWiJi+dT41YgcOHMCUKVOQnp6u0+Mm\n",
       "JSVh+vTpgrFV9MHOnTvx66+/SodaqGv//e9/4evri8mTJ6vM07ZtW/z4449VDuJGiC5UWYMfO3Ys\n",
       "7O3tBeN6yJs+fTrc3d3h7+9frZHzjN3z58+xf/9+VFRUICsrC3FxcRrXQrVJJBIp/blf12xtbTFr\n",
       "1qy6LoZUQECAQi2bEL1W1VgGJ06cYJcuXWI+Pj5Kt//xxx/s9ddfZ4xxExqEhoZWe7wEY1VcXMw6\n",
       "duzIrKysWMuWLdnYsWMVJkMg9YuLiws7cuRIXReDEMaYBhN+hIWFqW0y4E8PFxoairy8PDx69EjQ\n",
       "bYkoZ2FhoXROVVJ/yU+MTkhdqvFF1qysLIW+3Pfv36/pbgkhhNSQVkYvYipmMqoqjRBCSNXkY6ym\n",
       "alyDd3R0FNygc//+fZV3HbIXfWKN/W/+/Pl1XgZ9+avJuUhMZAC4v+Rk4baKCoaWLRleeYXB1ZWh\n",
       "QweGixe5vH37MohEsueq+zMx0Sxfnz4MKSnKt40dK1seN0716xk6dL40X0kJl1ZWpnyfdnay5W++\n",
       "0fycVVbKnjdvXt2//7XxuTC0v5qocYCPjo6Wjglx9uxZ2NjYUPs70Qn+zcOnTwu3PXoE/Psv8PAh\n",
       "cPcukJwMTJrEbUtIADT93lR1g6tkSJrUVGDnTln62rVAUBAwbBjw5ZdAv35ASAjwYg5ppTw8gLff\n",
       "Br7+GpAMF2RuDqxZA/j7A126AFu2AL16AQcOAOvXA2++CYwZo9lrAQCRCNixA4iOBt5/X/Pnkfqp\n",
       "yiaaESNG4Pjx48jJyYGzszPi4uKkQ6tOmjQJ/fr1w/79++Hm5obGjRtLp5ojpLbx57tOSRFue/BA\n",
       "Mb98npry9ASuXAEsLIC0NEAyP/ZvvwEDBwL8+cQ1Gc7F1BTYvFkxfdIk2T8nABg5knvs2LF6wV1i\n",
       "2DDujxi+KgO8JiPhrV69WiuFMRaSCbVJzc5FSYls+fZt4TZlAV7FvMpV6t6dC+R5edy6qSkgFgMD\n",
       "BgANGnC1899/ByoqgLZtgYiIlzsOfS5k6Fxoh87uZNXHGVuIfsnOBubPB957D/Dyqjr/J58AixbJ\n",
       "1mfNAqKiuGDr4gLMmKH6uV5eXLPNvn1cc4UqIhHXTFNaKms2uXkTcHQErKy4dcaA/HxuuUkTQE8m\n",
       "XiIGoiaxkz6KRG8MHw6cPAkcOQJoMn4YvwYPAF99xf1p4osvuEdra/X57Oy4R/6w8k5OXCCXEIkA\n",
       "GxvNjkuILtFgY0RvnDrFPWp6rxC/DV6VUaMA/hzi7dpxF2clY7HxA/zGjYrPlwR4gPuFcfeuMLgT\n",
       "os8owBO9IfkV2rSpZvnla/DKjBjB9UyRCAwEvL1l6/yat5+f4vMHDpQtOzhw/yAIqS+oiYbonRYt\n",
       "1G9/8oS70KmuBj9lCtC+PXfB08wMaN0ayMjg0vj4NXh+bb1lS2DePGFPGELqGwrwRO80b656W2kp\n",
       "1/e8vJzrDw4AjRsDvImvAAD/939c27iEhwcX4D08hPkkF0oBYYDv00d9n3VC6gMK8EQv8DsJKAvw\n",
       "jHEB+/Fj4MUcEThzhntcuxY4eBDYtEmWX35kjE8/5S6OvvmmMN3UFFi8mPvH0bgxd5F39Wru5iRC\n",
       "6jvqJkn0wtOnshr0wIHczUIS589z3R9XreLu6OzQQfjco0eBHj0AHx/gxg0ujT5qxFDUJHbSRVai\n",
       "F/g3Jr24UVpq4kRu2IERI4DCQsXnSvqn87syEkIowBMd27IFGD2au+uTLztbtvzPP1xTypUr3Dq/\n",
       "t4yyAG9hwT2qmSqVEKNEAZ7o1DvvAD/9BPz6qzCdH+CvXwd++QUICFB8/rNnimmSGvycOdzjlCna\n",
       "KSsh9R1dZCW14tw5rj187Fjl2588Ea4rGzsG4Grv/OZHdTX4gQOB9HSAN/8MIUaNAjypFZ06cY8d\n",
       "OsiW+eTb2fk1eL6jR4X93R89UswjqcEDQJs21SsnIYaMmmhIrbp7V3l6eTnXDn/2LFBWproGv3cv\n",
       "N6a7xLFj3GPjxrI0SQ2eECJEAZ7UKvmaOj992TKgc2fgww9Vjz+zcSP3D0BCMq46/45Ufg2eECJD\n",
       "AZ5olXzvGElwlu/GW1LCBXiAm8Ho4kXhdmdnbjYjyfPlh+B1dZUtm5vXrMyEGCoK8ERrfvuNu/X/\n",
       "999laWVlwJ9/ApaWXM8YiQULZGOoS/CDdpMmgJubbH3VKsDXV7bOb2un+dwJUY4CPNGaM2e4C6L8\n",
       "+VGfPeMgypi7AAAgAElEQVQG7Xr+XHGYAHkffihbbtRIGMSjooTNMkFB3JC/1CWSENUowBOtkfRR\n",
       "l0xtB3C1dE1mZxo+HOjfX7ZuYSHs8966tXCgsKZNgd27gW+/rVmZCTFkFOCJ1igL8Hl5mg0h4OIi\n",
       "bEu3sADi4rhlyZS/kmk6GzQQjulOCFGO+sETrZEM2ctvW//9d+D+/aqfa2UlDPCNGgE9e3ITZUtm\n",
       "UIqI4LpTNmgANGumvXITYqgowBOtUVaD1yS4A9zY7vI1eEA4XjsAvPLKy5ePEGNDAZ5ojSTAy/eO\n",
       "UWX9eu7CaXk5EBoq7O9OfdsJqTkK8ERrqhvgx4wRrss30RBCaoYushKtqU6AT0hQTOP3Z5e/sYkQ\n",
       "Un0U4InWSAK85HHwYOX91O3tgchI9fsyNdVu2QgxRhTgidbIT3xtYQHY2Cjmkx/OQBmqwRNScxTg\n",
       "iVoffsjVtsVi1XlOn+bmSi0uFqZbWgLW1or5VQ1Axkc1eEJqjupJRK0VK7jHCxe4ni7KvPaa8nSR\n",
       "SHmA5/eWUYVq8ITUHNXgiUbkZ1JiDPjsM264AFX++kt5bxiqwROiG1RPIhqRb18/dgz4/HP1z3n3\n",
       "XeVD+apr7pGgGjwhNUc1eKIS/2JoQYFwm/ycqvIcHYHx44WBujq1cgrwhNQcBXiiEn8uVPmAzp9G\n",
       "T5muXbkg3a6dLO2NN7jHnj2rPjY10RBSc1RPIirxA3xOjnCbqkmyJSwtuceOHbkhCby8uGEJNm4E\n",
       "Ro2q+tgU4AmpOQrwRKWSEtmyfA2+qgDPnwibPyTBe+9pdmw7O83yEUJUowBPVFIX4B88UP9cSQ2+\n",
       "unbuBPbsAUaPfrnnE0JkqmyDT0hIgKenJ9zd3bF06VKF7Tk5Oejbty8CAgLg4+ODjRs31kY5SR3Q\n",
       "RhNNdQ0dCmzezI35TgipGbUBXiwWY+rUqUhISEBycjK2bduGmzdvCvKsXr0agYGB+Pvvv5GYmIj3\n",
       "338fFZrci070Hr8Gn5EhW2YMSEtT/1x+Ew0hpG6oDfBJSUlwc3ODi4sLzM3NMXz4cOzZs0eQx8HB\n",
       "AQUv+tAVFBTAzs4OZtTHrd75+mvhpNeAsAaflia7AzUrS3FYAnkvW4MnhGiP2kiclZUFZ2dn6bqT\n",
       "kxPOnTsnyDNhwgT07NkTrVq1QmFhIXbu3Klyf7GxsdLl8PBwhEsm2SR1bsYM7nHKFFnXRn4NvrIS\n",
       "uHcP8PQEUlK4tMaNFW+AktBkHlZCiKLExEQkJiZqZV9qA7yIP0C3CosXL0ZAQAASExNx9+5dRERE\n",
       "4MqVK7CSn2sNwgBP9BN/SAJ+DR4Abt/mAvzt29x6cDBw/Ljy/dCPOEJejnzlN04y+/xLUNtE4+jo\n",
       "iMzMTOl6ZmYmnJycBHnOnDmDoUOHAgBcXV3Rtm1b3JZEAFIv8IcO4Ad1fg0eAO7e5R4vX+Yeg4NV\n",
       "75MCPCF1T22ADw4ORmpqKtLT01FWVoYdO3YgOjpakMfT0xOHDx8GADx69Ai3b99GO/7ti0Tv8QP5\n",
       "nTuA5H/6lSvCfDk53AXWP/7g1gcNUr1PCvCE1D21X0MzMzOsXr0akZGREIvFGDduHLy8vLB27VoA\n",
       "wKRJk/Dxxx9jzJgx8Pf3R2VlJZYtW4ZmzZrppPBEO/gXTN95h3s8cgSQ7xX75AlXe8/O5saa6dxZ\n",
       "9T4pwBNS90SMMaaTA4lE0NGhSDX98w/g4iJM69gROH+eW3Z05HrODBkC+PoCsbHApEnAmjXCeVT5\n",
       "du7k+rQTQmqmJrGTBhsjSrs8SoI7IJt278kTYN8+bjkqSv0+6UYlQuoe/ZAmVfZpl2y/ehV4+pS7\n",
       "ialXLy7to4+4Kfs6d+YeX3sNOHkSeP312i0zIaRqFOCJQm8ZeZK+7k+fco+9e8vuVP3ii9orFyGk\n",
       "ZqiJhlRZg//6a+H622/XXlkIIdpDAd5IVVRwU+5dvKi6Bu/tzXWNfOstWdrkycJ1Qoj+ogBvpH74\n",
       "gZs0OzhYdQ3ezk42LnuTJtzjzJm6KR8hpOYowBuppCTZsqQG36qVcEIO/qQbV64AFy4AHh66KR8h\n",
       "pOboIquR4o85I6nBDxrETa0nwQ/wdHMyIfUP1eCN1OPHsmVJn3cLC8DaWpbevLluy0QI0S4K8EZK\n",
       "MuQvAPz0E/doaSm7qQmgeVEJqe+oicZI5eYqppmaAp06Ad27c004/fvrvlyEEO2hAG+EGFMc6x0A\n",
       "UlMBKytAS3MNEELqGDXRGKHSUtlyo0bAqFHc2DGSWZ0IIYaBArwB+/tvLmjn53PrV69y69nZ3HrT\n",
       "ptwwBD/9xHWVVDeBByGk/qEmGgMWGMg9MsYNN+Dvz61nZHCPFhaAyYt/8Sb0r54Qg0NfayMgmWpP\n",
       "4uZN7lEyYBghxDBRgDcC8rMrSSbpaNRI92UhhOgOBXgjIB/gTU25R6rBE2LYKMAbAfkAL2lvpxo8\n",
       "IYaNArwRMDfnhgeWkEzvSDV4QgwbBXgjYGYmm40JAK5f5x6pBk+IYaMAbwTMzLgJs+VRDZ4Qw0YB\n",
       "3giYmXEzM8mjGjwhho0CvIGStLMDXIB/8EAxD9XgCTFsdCergSovly3HxwNlZYp5GjbUXXkIIbpH\n",
       "NXgDxZ9I+9kzYN06xTz8fwKEEMNDAd5AqZpIu7p5CCH1FwV4A6VJ8C4qqv1yEELqDgV4A8VvopEY\n",
       "NUq4TgGeEMNGAd5Aydfgp00DFi4UpkkGHSOEGCYK8AZKvgZvYaHYLfKrr3RXHkKI7lE3yXrm/fe5\n",
       "G5QWLVK+/ckT4D//Adq0EaY3aiS8senCBcDLq/bKSQipexTg65HiYuDLL7nlhQuVN7EsXQrs36+Y\n",
       "Ll+Dt7KqnTISQvQHNdHUI/xmF1V92PmDivFZWAiHDaZhCggxfBTg6xF+gFfWSwYAGjRQni4f0G1t\n",
       "tVMmQoj+oiaaeoTfM+b5c8DaWjGPqsmzJc0zV69y3SOpiYYQw1dlDT4hIQGenp5wd3fH0qVLleZJ\n",
       "TExEYGAgfHx8EB4eru0ykhc0qcHn5ipPl9TgfX2BTp20Wy5CiH5SW4MXi8WYOnUqDh8+DEdHR3Ts\n",
       "2BHR0dHw4nW/yMvLw3//+18cPHgQTk5OyFE2Li3RCvkavCTN0lKWrmzcd4BGjiTEGKmtwSclJcHN\n",
       "zQ0uLi4wNzfH8OHDsWfPHkGerVu3YsiQIXBycgIANG/evPZKa+T4Ab6kBPj0U6BxY+DSJVk6P8C3\n",
       "bStbpouqhBgftTX4rKwsODs7S9ednJxw7tw5QZ7U1FSUl5ejR48eKCwsxIwZMzBK/p74F2JjY6XL\n",
       "4eHh1JxTTfxmmefPZXemLlgA7N7NLUt+QDk5ATt2ACEh3DrV4AmpHxITE5GYmKiVfakN8CIN7mUv\n",
       "Ly/HpUuXcOTIERQXF6Nz587o1KkT3N3dFfLyAzypPvkavMSePcD//R8X0NPTubRr14QTbVMNnpD6\n",
       "Qb7yGxcX99L7UhvgHR0dkZmZKV3PzMyUNsVIODs7o3nz5rCwsICFhQW6deuGK1euKA3wpGbka/B8\n",
       "U6fKlm1tuR42hYWyNKrBE2J81LbBBwcHIzU1Fenp6SgrK8OOHTsQHR0tyDNgwACcOnUKYrEYxcXF\n",
       "OHfuHDp06FCrhTZWqmrw8jw8uLtczc1laRTgCTE+amvwZmZmWL16NSIjIyEWizFu3Dh4eXlh7dq1\n",
       "AIBJkybB09MTffv2hZ+fH0xMTDBhwgQK8LVEXQ2e74MPuEf+TU/UREOI8RExxp+euRYPJBJBR4cy\n",
       "SIwBXboAZ89y6999B0yZophv7Vpg4kTZuuQySk4OYGdX++UkhGhXTWInDVVQT3z/vSy4A8CjR8rz\n",
       "qejARE00hBghGqqgnti+Xbh+545iniZNFAP5nj1c0w7/ZihCiHGgAF9Pbd7MPfr4ANevc8vKmmDk\n",
       "rokTQowINdHUE6rGmElOli1TGzshhI8CvJ65eRNwdwd27pSlVVYCqanK81dWypZbtqzdshFC6hfq\n",
       "RaNnevcGjhzhliWnKzMTaN1aef7vvgNKS4HYWODMGZqGjxBDU5PYSW3wekYsVkxLSeEeX3sNCA0F\n",
       "Vq7k1isqAFNTbnnaNNVjwRNCjBOFBD3Dv/tUQhLgPTyAIUO45QEDZMEdoOBOCFFENXg9w7/7dN06\n",
       "rslm9mxuvX17oHNn4PZt4VDAhBCiDAV4PcOvwfPvSAW4LpEAF+gJIaQq9MNez6iaNNvGBoiM1G1Z\n",
       "CCH1GwV4PaOsDR4A5s8XtrkTQkhVKMDrGVU1+FatdFsOQkj9RwFez6iqwTs46LYchJD6jwK8nlE1\n",
       "SyLV4Akh1UUBXk/cvw/07w8cPap8O9XgCSHVRd0k9cT48cDBg8q3BQTQcL+EkOqjGryekNytKi8h\n",
       "ATh9WrdlIYQYBgrweqKgQHl6q1ZUeyeEvBwK8HpCVYC3stJtOQghhoMCvJ4oL1eeTgGeEPKyKMDr\n",
       "OQrwhJCXRQFez6m6s5UQQqpC3ST1VPv2wMCBdV0KQkh9RgG+jt25A4wcqZi+bRsQFKT78hBCDAc1\n",
       "0dSxCROA8+cV01WNSUMIIZqiGnwd+fprro97bq7y7RTgCSE1RQG+DvzzDzBjBrfs7688D11cJYTU\n",
       "FDXR1IGnT2XLqkaPpBo8IaSmKMDXgdJS2XJFhfI8VIMnhNQUBfg6wB+WoLhYeR6qwRNCaooCfB3I\n",
       "z5ctFxUpz0M1eEJITVGArwN5ebJlVQGeavCEkJqiAF8HNKnBU4AnhNQUBfg6wK/BM6a43dQUMKF3\n",
       "hhBSQ1WGkYSEBHh6esLd3R1Lly5Vme/8+fMwMzPDr7/+qtUCGiJ+DV4Zan8nhGiD2gAvFosxdepU\n",
       "JCQkIDk5Gdu2bcPNmzeV5pszZw769u0LpqxKSgSqCvBmdPsZIUQL1Ab4pKQkuLm5wcXFBebm5hg+\n",
       "fDj27NmjkO+bb77Bm2++iRYtWtRaQQ0Jv4lGmYYNdVMOQohhUxvgs7Ky4OzsLF13cnJCVlaWQp49\n",
       "e/ZgypQpAACRqlszidT9++q3N2qkm3IQQgyb2sYATYL1zJkzsWTJEohEIjDG1DbRxMbGSpfDw8MR\n",
       "Hh6ucUENRXY2cPmy+jwU4AkxXomJiUhMTNTKvtQGeEdHR2RmZkrXMzMz4eTkJMhz8eJFDB8+HACQ\n",
       "k5ODAwcOwNzcHNHR0Qr74wd4Y3X4cNV5qImGEOMlX/mNi4t76X2pDfDBwcFITU1Feno6WrVqhR07\n",
       "dmDbtm2CPPfu3ZMujxkzBv3791ca3AnXJfLx46rzUQ2eEKINagO8mZkZVq9ejcjISIjFYowbNw5e\n",
       "Xl5Yu3YtAGDSpEk6KaQhOHsWiI4GXnml6rwU4Akh2iBiOurXKGmjN1a+vsD167L1N98Edu1SnrdX\n",
       "L82acgghhq8msZPul9QR+b7tXbsC33+vPC+1wRNCtIECvI5YWCiuN26sPC810RBCtIECvI5YWiqu\n",
       "qwrwVIMnhGgDBXgdoRo8IUTXKMDriHyAV1eDpwBPCNEGCvA6IhYL1y0tVQdyV9faLw8hxPDRuIU6\n",
       "Ij/3qoWF4qQeXboAISHA1Km6KxchxHBRDV5H5AO8paXixdSICOCrr+giKyFEOyjA60hJiXDdwgJw\n",
       "cwMGDODa4jt2BGbMqJuyEUIMEwV4Lbt1i7sT9cIFWdr69cD588J8lpaASATs3g08ewYkJQG2trot\n",
       "KyHEsNFQBVpmbQ0UFHBDE1y9yl1cVTZDU24uYGOj+/IRQuoXGqpAT1RWcsEd4CbOBriauTLy3SYJ\n",
       "IUTbKMBrEW/kZLRpwz2eO6c8L02sTQipbRTgtYg/m6FkYu1nz5TnpZkNCSG1jQK8FmVny5YlAV6+\n",
       "9wwhhOgK3eikRQ8eyJYzM4HSUmHQB4DvvgMcHXVbLkKIcaIAr0X8YJ6To3wogsmTdVceQohxoyYa\n",
       "LeLX4JVZuFA35SCEEIACfI2UlwPduwOffMKtyzfH8O3cCcybp5tyEUIIQAG+Ro4dA06cABYt4tYf\n",
       "P1adV37CD0IIqW0U4GugvFy4Luk5owwFeEKIrlGArwH5u4clAV5ZLxm6c5UQomsU4GugslK2vGsX\n",
       "UFjI3cB09apiXqrBE0J0jQJ8DfBnaRo6lHu0sgKaNQPGjhXmpRo8IUTXKMC/hJISrsfM8+eK26yt\n",
       "ucevvgK8vGTpVIMnhOgaBfiXEBDAtbMnJytukwwB3LQp8OmnsnQK8IQQXaMA/xJSUrjHP/5Q3Cap\n",
       "wQNcc40ENdEQQnSNAnwNXL6smMYP8PxaO82zSgjRNQrwWsafpYk/kxMND0wI0TUK8FrGr8FLZnUi\n",
       "hJC6QAFey/gBvkMHxTRCCNEVGi5Yy/gXVm1tgYcPgcaN6648hBDjRQFey/gBHgDs7eumHIQQQk00\n",
       "1SQ//oy8Jk10Uw5CCKkKBfhqkh9BUp58DZ4QQuoKBfhqKitTv50CPCFEX2gU4BMSEuDp6Ql3d3cs\n",
       "XbpUYfuWLVvg7+8PPz8/dO3aFVeVDadoICjAE0LqiyovsorFYkydOhWHDx+Go6MjOnbsiOjoaHjx\n",
       "RtJq164dTpw4AWtrayQkJGDixIk4e/ZsrRa8rvADvImJcMhggAI8IUR/VFmDT0pKgpubG1xcXGBu\n",
       "bo7hw4djz549gjydO3eG9YvO3qGhobh//37tlLaOff018MYb3LKzMzdcsHxApwBPCNEXVdbgs7Ky\n",
       "4OzsLF13cnLCuXPnVOb/8ccf0a9fP6XbYmNjpcvh4eEIDw/XvKR6YMYM2XKDBtzj118DY8bI0qkX\n",
       "DSGkJhITE5GYmKiVfVUZ4EXVGETl2LFjWL9+PU6fPq10Oz/A6zPGgBUrgJAQoHt3WRqfJMDHxHAT\n",
       "fAwYwK1TDZ4QUhPyld+4uLiX3leVAd7R0RGZmZnS9czMTDg5OSnku3r1KiZMmICEhATY2tq+dIH0\n",
       "wZEjwOzZ3LIksOfmCvNIAjzA3bGqLJ0QQupSlW3wwcHBSE1NRXp6OsrKyrBjxw5ER0cL8mRkZGDw\n",
       "4MHYvHkz3Nzcaq2wuvLokWJadrZwnR/IKypqtzyEEPIyqqzBm5mZYfXq1YiMjIRYLMa4cePg5eWF\n",
       "tWvXAgAmTZqEBQsWIDc3F1OmTAEAmJubIykpqXZLXovMzRXT5AM8P0+zZrVbHkIIeRkixqq6+V5L\n",
       "BxKJoKND1dju3cCgQdyypMjx8Vx7u0R4OHDsmGz9yy+50SP79tVVKQkhxqAmsZMGG1PChNdwVV7O\n",
       "1dbVNdEAwHvv1X65CCGkOmioAiVKS2XLhYXc4927wjwmdOYIIXqOwtQLiYlAQADw1VfAsGGydEmA\n",
       "v31bmP/5c50VjRBCXgo10bwQGckNQyDf1CIJ8CkpwvTiYt2UixBCXhbV4F9QNYjYs2dAXh7w77+A\n",
       "hYUsvaREN+UihJCXRQH+BX7w5issBNLTueV27WTpVIMnhOg7aqJ5oUkT5bXywkJAMlpDixaydKrB\n",
       "E0L0HdXgX1A1SFhhIfDkCbfcvLksnWrwhBB9Z/Q1+AcPAEtL1QG7sBBITuaW7exk6VSDJ4ToO6MO\n",
       "8HfuAO7u6vMsXCgbm8bODnBx4drklYy3RgghesWom2gOHKg6D3/gMTs7YP9+YOBAQG7OE0II0TtG\n",
       "XYM3q+art7MDvLyA336rnfIQQog2GXUN3tS0evn5bfCEEKLvjDrAFxUppu3cqTp/dWv8hBBSl4w6\n",
       "wOfnK6bxu0LK8/evvbIQQoi2GXWAz8tTTLOxkS23aiVb/ucfwMGh9stECCHaYtQBXlkNnj+/6ujR\n",
       "3GOTJkDr1ropEyGEaIvRtSqXlwM3b3K9YU6eVNxuZSVbjogAXntNOAYNIYTUF0ZXg1+5kmtLd3NT\n",
       "nMQDABo2lC1XVgL9+gGenrorHyGEaItRBPjiYkAs5pbnzuUeMzKU5+UHeMlzCCGkPjL4AB8fzzW7\n",
       "dOjATcXHb2OXePtt2TJ1hSSEGAqDD/B793JNLSkpwPXrshmaJLp1Azw8ZOsiEVfL79IF6NFDt2Ul\n",
       "hBBtqtcBPj+fayPftUtx2/HjQJ8+wMGDsrTgYKCiQjFfgwbCtMWLgdOnAXNz7ZeZEEJ0pV43SPzv\n",
       "f9yAYQcOAIwJt4WHq36ekxPXB/7NN7l1k3r9b44QQpTT69BWWsoN13v9uvLt8jcqHTwIbN9e9X5D\n",
       "Q4H794F167j16o5JQwgh9YFeB/gvvwQ+/RTw9VW+Xf6CaN++wIgRXD93PvkmGDs7wNpa9nwK8IQQ\n",
       "Q6TTAC8WA0ePKl7oVOXiRfXb+QG+rEy2/Mknwnz9+wNTp8rW5UeFpCYaQogh0mlo+/57oFcvbsIM\n",
       "TZSWqt9eXi5b5vdr//VXYT47O2DwYNm6/IBiNAwBIcQQ6TTAS9rHjx7VLD+/Vs5fluC3wd++rXo/\n",
       "dnbCoC5fg4+OBmJjNS8XIYTUB3rdOMGvwdvYcEGYjz9YWEqK6v00by4M6vIBXiQC5s+nfu+EEMOi\n",
       "1wGeX2svKQHi4oTb+TV4+QDPb5+3sxMG9WbNtFdGQgjRV3od4JW1we/eDXTqBKSlqa/ByzfJ8MeY\n",
       "ke9VQwghhkivA3xBgXC9QQNg0CDg3Dnggw+EAT45mXts1oyrve/YIdsmqb337Am0bAn4+NRuuQkh\n",
       "RB/UWYC/cAH4+GP1PWWePBGu85tsfv1VWGt/+JB7/OgjrndNWJhsW+PG3OOffwKZmUCjRjUrOyGE\n",
       "1Ac6HaqgpES23LEj91hZCSxZopj34UMgN7f6x5BMqycSydKcnblHExNqniGEGI8qa/AJCQnw9PSE\n",
       "u7s7li5dqjTP9OnT4e7uDn9/f1y+fFnlvpRNkbd7N3cD1KZNwKpVwNmzXNCPidHsBYwYIVzv1Uu2\n",
       "nJEB3LihfIjgupSYmFjXRdAbdC5k6FzI0LnQDrUBXiwWY+rUqUhISEBycjK2bduGm3LjAOzfvx93\n",
       "7txBamoqvv/+e0yZMkXl/pRNcn3vHrB+PfCf/wAzZ3IBeuNG4SiQ8rp1ky1PmiRb7thRODG2szM3\n",
       "Dry+oQ+vDJ0LGToXMnQutENtgE9KSoKbmxtcXFxgbm6O4cOHY8+ePYI8e/fuxegXs1OHhoYiLy8P\n",
       "jx49Urq/f/9VTCsvB+bMka0XF3MXUAHA1VWW3rIll75tGzfdngQ/gPfvr+7VEEKIcVEb4LOysuAs\n",
       "acAG4OTkhKysrCrz3L9/v1qFkLS1T54sXOfX4iMjgeXLgeHDueF+Jfj9219/vVqHJYQQg6b2IquI\n",
       "f6VSDSY3GLvq56nf35o1wnV+TX3TJu5PHn8kSMmF2/ogTv6uLSNG50KGzoUMnYuaUxvgHR0dkZmZ\n",
       "KV3PzMyEE7/6rCTP/fv34ejoqLAv+X8ChBBCapfaJprg4GCkpqYiPT0dZWVl2LFjB6KjowV5oqOj\n",
       "8dNPPwEAzp49CxsbG9jb29deiQkhhGhEbQ3ezMwMq1evRmRkJMRiMcaNGwcvLy+sXbsWADBp0iT0\n",
       "69cP+/fvh5ubGxo3bowNGzbopOCEEEKqwGrZgQMHmIeHB3Nzc2NLliyp7cPVuTFjxrCWLVsyHx8f\n",
       "adqTJ09Y7969mbu7O4uIiGC5ubnSbYsXL2Zubm7Mw8ODHTx4sC6KXGsyMjJYeHg469ChA/P29mar\n",
       "Vq1ijBnn+SgpKWEhISHM39+feXl5sY8++ogxZpznQqKiooIFBASwqKgoxpjxnos2bdowX19fFhAQ\n",
       "wDp27MgY0965qNUAX1FRwVxdXVlaWhorKytj/v7+LDk5uTYPWedOnDjBLl26JAjwH374IVu6dClj\n",
       "jLElS5awOXPmMMYYu3HjBvP392dlZWUsLS2Nubq6MrFYXCflrg0PHjxgly9fZowxVlhYyNq3b8+S\n",
       "k5ON9nwUFRUxxhgrLy9noaGh7OTJk0Z7LhhjbOXKlWzkyJGsf//+jDHj/Z64uLiwJ0+eCNK0dS5q\n",
       "NcCfOXOGRUZGSte/+OIL9sUXX9TmIfVCWlqaIMB7eHiwhw8fMsa4oOfh4cEY4/4T83/VREZGsr/+\n",
       "+ku3hdWhAQMGsD///NPoz0dRURELDg5m169fN9pzkZmZyXr16sWOHj0qrcEb67lwcXFhOTk5gjRt\n",
       "nYtaHWxMk370xuDRo0fSC8/29vbSG8Gys7MFvZIM+fykp6fj8uXLCA0NNdrzUVlZiYCAANjb26NH\n",
       "jx7w9vY22nMxa9YsLF++HCa8CZGN9VyIRCL07t0bwcHBWLduHQDtnYtaHWxM0370xkQkEqk9L4Z4\n",
       "zp49e4YhQ4Zg1apVsLKyEmwzpvNhYmKCv//+G/n5+YiMjMSxY8cE243lXPz+++9o2bIlAgMDVQ5J\n",
       "YCznAgBOnz4NBwcHPH78GBEREfD09BRsr8m5qNUavCb96I2Bvb09Hr4Yz/jBgwdo2bIlAM3vIajP\n",
       "ysvLMWTIEIwaNQoDX8y2bsznAwCsra3xxhtv4OLFi0Z5Ls6cOYO9e/eibdu2GDFiBI4ePYpRo0YZ\n",
       "5bkAAIcXA2i1aNECgwYNQlJSktbORa0GeE360RuD6OhoxMfHAwDi4+OlgS46Ohrbt29HWVkZ0tLS\n",
       "kJqaipCQkLosqlYxxjBu3Dh06NABM2fOlKYb4/nIyclB3ovR9kpKSvDnn38iMDDQKM/F4sWLkZmZ\n",
       "ibS0NGzfvh09e/bEpk2bjPJcFBcXo7CwEABQVFSEQ4cOwdfXV3vnQvuXDIT279/P2rdvz1xdXdni\n",
       "xYtr+3B1bvjw4czBwYGZm5szJycntn79evbkyRPWq1cvpV2eFi1axFxdXZmHhwdLSEiow5Jr38mT\n",
       "J5lIJGL+/v4sICCABQQEsAMHDhjl+bh69SoLDAxk/v7+zNfXly1btowxxozyXPAlJiZKe9EY47m4\n",
       "d+8e8/f3Z/7+/szb21saI7V1LkSM0RgChBBiiPR6TlZCCCEvjwI8IYQYKArwhBBioCjAE0KIgaIA\n",
       "T+rckydPEBgYiMDAQDg4OMDJyQmBgYEICgpCRUUFAGDfvn0qJ32X2LhxI6ZNm6Y03dTUFNeuXZOm\n",
       "+fj4ICMjQyvlb9KkiVb2Q4i21eqdrIRows7ODpcvXwbAzeJjZWWF9957T7pdLBajf//+6F/FpLvq\n",
       "7mFb+cgAAAL0SURBVOhzcnLCokWLsH379irzVldN9iUWi2HKn5aMEC2iGjzRO4wxxMTEYPLkyejU\n",
       "qRNmz56N+Ph4ae1837596NSpE4KCghAREYF/lc3mziMSiRAVFYUbN24gJSVFYTu/Br5r1y6MGTMG\n",
       "ABATE4N3330XnTt3hqurKxITEzF69Gh06NBBmkfivffeg4+PD3r37o2cnBwAwN27d/H6668jODgY\n",
       "3bp1w+3bt6X7lby2OfwZ5wnRMgrwRC+JRCJkZ2fjr7/+wsqVKwXbwsLCcPbsWVy6dAlvvfUWli1b\n",
       "BkD9tJAmJiaYPXs2Fi9erPRYypYBIC8vD3/99Re++uorREdHY/bs2bhx4wauXbuGq1evAuDuQOzY\n",
       "sSOuX7+O7t27S+cSnThxIr755htcuHABy5cvx7vvvivdr+S1rVixoppnhhDNURMN0VtDhw5V2vyR\n",
       "mZmJYcOG4eHDhygrK0O7du002t/IkSOxaNEipKena5RfJBJJm4V8fHzwyiuvwNvbGwDg7e2N9PR0\n",
       "+Pn5wcTEBG+99RYA4J133sHgwYNRVFSEM2fOYOjQodL9lZWVSfer6rURok0U4InesrS0VJo+bdo0\n",
       "fPDBB4iKisLx48cRGxur0f5MTU3x/vvvY8mSJYJ0fqAtKSkRbGvQoAEA7hdAw4YNpekmJibSC8B8\n",
       "jDGIRCJUVlbC1tZWem1B09dGiDZREw2pF/jNLwUFBWjVqhUArodMdZ4bExODw4cP4/Hjx9I0e3t7\n",
       "3Lp1C5WVlfjtt9+qXbOurKzEzz//DADYunUrwsLCYGVlhbZt22LXrl3SMkiadAjRFQrwRG/Jt41L\n",
       "1mNjYzF06FAEBwejRYsW0nRV42bz083NzTFjxgxBgF+yZAmioqLQtWtX6T8OVWVQpnHjxkhKSoKv\n",
       "ry8SExPx2WefAQC2bNmCH3/8EQEBAfDx8cHevXur3Bch2kSDjRFCiIGiGjwhhBgoCvCEEGKgKMAT\n",
       "QoiBogBPCCEGigI8IYQYKArwhBBioP4fcPxhAIWpiKoAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x177742e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(1,len(P['sg / du / tr / pl'])+1), P['sg / du / tr / pl'], '-', linewidth=2)\n",
    "plt.title('Singular / dual / trial / plural distinction')\n",
    "plt.xlabel('Trial Number')\n",
    "plt.suptitle('Proportion of 100 learners who label all 15 items correctly')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Singular, dual, trial, quadral, plural"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data['Outcomes'] = 'plural'\n",
    "data['Outcomes'][1] = 'singular'\n",
    "data['Outcomes'][2] = 'dual'\n",
    "data['Outcomes'][3] = 'trial'\n",
    "data['Outcomes'][4] = '4ial'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "P['sg / du / tr / qu / pl'] = [population_accuracy(M=i) for i in xrange(1,MAX_TRIALS)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x17e23c50>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEdCAYAAAAGpHxPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXlcFdX7xz8XQQVEQBRDQFBAXEDAENREccF9N80sc8El\n",
       "S03b/KqZqJlp+i3LSu1bapmmmT+XVLQsRC3F3cwNDQIRTRSQTdnO74/j3Jm5d+4GF1nu8369eM2Z\n",
       "mTNnzp1774fnPuc5z1ExxhgIgiCIGodVZXeAIAiCqBhI4AmCIGooJPAEQRA1FBJ4giCIGgoJPEEQ\n",
       "RA2FBJ4gCKKGUu0EvlatWggJCUFgYCBGjhyJgoKCJ3r/999/X7b/zDPPVOj9rly5guDgYDz99NNI\n",
       "SkqSnZs3bx6aNm0KBwcH2fFHjx7hueeeg5+fHzp06IB//vlHfW7jxo1o0aIFWrRogW+++UbxnuPG\n",
       "jcOPP/5o/hdTScTExGDlypVlvt7b2xv379/XW6devXoV2qcNGzZg+vTpeq+Nj49Hu3btYGNjo/X+\n",
       "Cd+bkJAQDBkyRPEeCxYswK+//goA+Pjjj5/4d6uy0Hytxrzf1YVqJ/B2dnY4e/Ys/vzzT9SuXRtr\n",
       "1qyRnS8uLq6we5eWlmLp0qWyY8eOHauw+wHAzp07MWLECJw+fRrNmjWTnRs8eDASEhK0rvnqq6/g\n",
       "4uKCxMREzJo1C7NnzwYA3L9/H4sWLUJCQgISEhKwcOFCZGVlaV2vUqmgUqnK3feSkpJyXc8Ygzmm\n",
       "aZT3tRhzvan3KE99Xdd6eXlh48aNGD16tNY54Xtz9uxZ7Ny5U/H6hQsXonv37gCAVatWIT8/36Q+\n",
       "Vgaa3/eyfP81X6s5PvtVhWon8FIiIiJw/fp1HD58GBERERg8eDACAgLw6NEjjB8/Hm3btkW7du0Q\n",
       "FxcHgFtBgwcPRrdu3dCiRQssWrRI3dZ///tfBAYGIjAwEKtWrQIAJCcnw9/fH2PHjkVAQAAmTpyI\n",
       "goIChISEYMyYMQBEy40xhrfeeguBgYFo27Yttm3bBgCIi4tDZGQkRowYgVatWuHFF19UfC3nzp1D\n",
       "hw4dEBQUhGHDhiErKwv79u3DqlWr8MUXX6i/eFLCwsLw1FNPaR3fvXs3xo4dCwAYPnw4Dh06BAA4\n",
       "cOAAevXqBScnJzg5OSEqKgqxsbGK/RGE9fTp04iMjERoaCj69OmD27dvAwC+/PJLhIWFITg4GM8+\n",
       "+6zaAho3bhxefvlldOjQAW+//TbGjx+PGTNm4JlnnoGPj4/Msvzwww8RFhaGoKAgxMTEaD3zwMBA\n",
       "pKamYty4cern+vHHH8v6WVJSgubNmwMAsrKyUKtWLRw9ehQA0KVLF1y/fh0AcOnSJXTr1g0+Pj74\n",
       "9NNP1dcrve/6GDp0KEJDQxEQEIAvv/xSdu71119HQEAAevbsiYyMDADAjRs30LdvX4SGhqJLly64\n",
       "evWq3vb37NmDDh06oF27doiKisK///5rsE8CXl5eCAwMhJVV2b7Wwi+3Tz/9FLdu3UK3bt3Qo0cP\n",
       "AMDBgwfRqVMnPP300xg5ciTy8vIAcGt37ty5CAkJQWhoKM6cOYNevXrB19cXa9euBQCkp6ejS5cu\n",
       "6l/ewvsj5eTJk3jmmWcQHByM8PBw5OXl4eHDhzq/x4MGDUKPHj3Qs2dPbNy4Ub0fFRWF/Px8TJgw\n",
       "AeHh4WjXrh12794NgH9W3nzzTQQGBiIoKAirV69WfK0A//wvWLBA9pmYN28ePvnkkzI920qDVTPq\n",
       "1avHGGOsqKiIDRo0iK1Zs4bFxcUxe3t7lpyczBhjbMWKFSw6OpoxxtiVK1dY06ZN2cOHD9n69euZ\n",
       "m5sbu3//PisoKGABAQHs1KlT7NSpUywwMJDl5+ez3Nxc1qZNG3b27FmWlJTErKys2IkTJ7Tur7m/\n",
       "fft2FhUVxUpLS9mdO3dY06ZNWXp6Ovvtt9+Yo6MjS0tLY6Wlpaxjx47s6NGjWq8rMDCQxcfHM8YY\n",
       "e/fdd9nMmTMZY4zFxMSwlStXGvVMBAICAlhaWpp638fHh2VkZLAVK1aw9957T3188eLFbMWKFVrt\n",
       "jRs3jv3444+ssLCQdezYkWVkZDDGGPv+++/ZhAkTGGOM3bt3T13/nXfeYZ9++iljjLGxY8eygQMH\n",
       "stLSUnVbI0eOZIwxdunSJebr68sYY+zAgQNs8uTJjDHGSkpK2IABA1h8fLzWMz916hSLiopS3ysr\n",
       "K0urv3369GF//fUX27NnD2vfvj1bsmQJe/jwIWvWrBljjLEFCxawTp06scLCQpaRkcFcXFxYcXGx\n",
       "zvddE29vb/XrvX//PmOMsfz8fBYQEKDeV6lUbPPmzYwxxhYtWsSmTZvGGGOse/fuLDExkTHG2PHj\n",
       "x1n37t0ZY/x9VXr2mZmZ6vKXX37J3njjDcYYY+vXr1e3qetagXHjxrHt27fLjllbW7N27dqxDh06\n",
       "sJ07d+q87scff9R6zXfv3mVdunRh+fn5jDHGPvjgA7Zo0SJ1vTVr1jDGGJs1axYLDAxkubm57O7d\n",
       "u6xx48aMMf59XLJkCWOMsdLSUpaTkyO776NHj1jz5s3ZqVOnGGOM5eTksOLiYr3fYw8PD/Wz0tyf\n",
       "M2cO27Rpk/p5tmjRguXl5bHPP/+cjRgxgpWUlDDGxPdS+lql+8nJyaxdu3aMMf4Z9fHxUV9TXbCu\n",
       "7H8wpiJY0AC30CZMmIBjx44hLCwMXl5eALjbZMaMGQAAf39/eHl54dq1a1CpVOjVqxecnZ0BAMOG\n",
       "DcPRo0ehUqkwbNgw2Nraqo8fOXIEgwYNgpeXF8LCwgz26+jRoxg9ejRUKhVcXV3RtWtXnDx5EvXr\n",
       "10dYWBiaNGkCAAgODkZycrLMd5+dnY3s7GxEREQAAMaOHYsRI0YAMJ+bwlQYY7h69Sr++usv9OzZ\n",
       "EwC3gITX8eeff+Kdd95BdnY2cnNz0adPHwD85+2IESNkP3MFn2+rVq1w584dANwiPHjwoPq9zMvL\n",
       "w/Xr1+Hp6Sl75j4+Pvj7778xY8YM9O/fH7169dLqa0REBOLj45GUlIQ5c+bgyy+/RNeuXdG+fXt1\n",
       "nwYMGAAbGxu4uLjA1dUVt2/fxtGjRxXf9+DgYJ3PZdWqVWoXR2pqKhITExEWFgYrKys899xzAIAX\n",
       "X3wRw4YNQ15eHn7//Xf1ewkAhYWFep97amoqRo4cidu3b6OwsFD966S8pKSkwM3NDUlJSejevTsC\n",
       "AwONbvv48eO4dOkSOnXqBIC/BqEMAIMGDQIABAYGIi8vD/b29rC3t0edOnXw4MEDhIWFYcKECSgq\n",
       "KsKQIUMQFBQka//q1atwc3PD008/DUD8VazvexwVFQUnJycA0No/ePAg9uzZgxUrVgDgY1IpKSk4\n",
       "dOgQpk6dqv6FI+iALry8vODi4oJz587h9u3baNeuncFrqhrVTuBtbW1x9uxZreP29vayfWNEkTGm\n",
       "FiJpfelxzXZ1oVKptO4ptFGnTh31sVq1ahn0E0rbKYs/0N3dHSkpKWjSpAmKi4uRnZ0NFxcXuLu7\n",
       "q3/mAlxMlFw/Utq0aYPff/9d6/i4ceOwe/duBAYGYuPGjbJ27ezsZHVr166tLktf25w5czB58mRZ\n",
       "3eTkZNkzd3JywoULFxAbG4s1a9Zg27Zt+Oqrr2TXdOnSBZ9//jnS09OxaNEifPjhh4iLi0OXLl0U\n",
       "+yC8B5rvmfR9VyIuLg6HDh3C8ePHUbduXXTr1g0PHz7Uqie0U1paCmdnZ8XPqy6mT5+ON998EwMG\n",
       "DMDhw4fVritT0Xwdbm5uAIBmzZohMjISZ8+eNemfR1RUFDZv3qx4Tvh8W1lZyZ6zlZUViouLERER\n",
       "gSNHjuCnn37CuHHj8Prrr6tdnIbQ9T3W/F5q7u/YsQN+fn5Gt6eLiRMnYv369bhz5w4mTJhg0rVV\n",
       "gWrtg9dFREQEvvvuOwDAtWvXkJKSgpYtW4Ixhp9//hmZmZkoKCjArl270LlzZ0RERGDnzp0oKChA\n",
       "Xl4edu7ciYiICMUPg42NjaJAR0REYOvWrSgtLcXdu3cRHx+PsLAwoz5Qjo6OcHZ2Vvsmv/32W0RG\n",
       "RgIw/QMJcItq48aNAIDt27erfYu9evXCwYMHkZWVhczMTPz888/o3bu3YhsqlQr+/v64e/cujh8/\n",
       "DgAoKirCpUuXAAC5ubl46qmnUFRUhE2bNpn8j6h37974+uuv1b7ctLQ03L17V6vevXv3UFxcjGHD\n",
       "hmHx4sU4c+aMVp2wsDD8/vvvqFWrFurUqYOgoCCsXbtWJvBKr0/X+66LBw8ewNnZGXXr1sWVK1fU\n",
       "zwXgA/A//PADAGDz5s2IiIiAg4MDmjVrhu3btwPg7+WFCxf0PpcHDx6ofyVt2LBBsY6hz4Tmr76s\n",
       "rCw8evQIAJCRkYFjx46hTZs2ettwcHDAgwcPAADh4eE4duwYbty4AYD/2kpMTDS6XykpKWjUqBEm\n",
       "TpyIiRMnav3D8/f3R3p6Ok6dOgUAyMnJQUlJid7vsb779u7dW+YrF+4XFRWFtWvXqgf/MzMztV6r\n",
       "JkOHDkVsbCxOnTql87tSlal2FrySkGhGfbzyyiuYOnUq2rZtC2tra2zcuBE2NjZQqVQICwvD8OHD\n",
       "cfPmTYwZMwbt2rUDwC1SwS0wadIkBAUFITk5Wet+kydPRtu2bfH000/j22+/VZ8fOnQo/vjjDwQF\n",
       "BUGlUuHDDz+Eq6srLl++rNWG0mvYuHEjXn75ZeTn58PHxwfr169XfG1S3n77bWzZsgUFBQXw9PTE\n",
       "pEmT8O677yI6OhpjxoyBn58fXFxc8P333wMAGjRogPnz56tdFwsWLFD/rFXCxsYG27dvx4wZM5Cd\n",
       "nY3i4mLMmjULrVu3xuLFixEeHo5GjRohPDwcubm5Ol+fUgRIVFQULl++jI4dOwLgXzLhH4W0flpa\n",
       "GsaPH4/S0lIAwAcffKDVz9q1a6Np06bo0KEDAG7Rb926FYGBgTr7BAAhISGK77smwrV9+vTBmjVr\n",
       "0Lp1a/j7+6v7DnALMiEhAe+99x4aN26MrVu3AgC+++47TJ06Fe+99x6Kiorw/PPPo23btjr7FBMT\n",
       "gxEjRsDZ2Rndu3dXh7hKn4uuz8TJkycxbNgwZGZm4qeffkJMTAz+/PNPXLp0CS+//DKsrKxQWlqK\n",
       "OXPmoGXLllrXS5k8eTL69OkDd3d3HDp0CBs2bMDzzz+v/kexZMkSLQtZs19COS4uDh9++CFsbGzg\n",
       "4OCgFZ5bu3ZtbN26FdOnT0dBQQHs7Ozwyy+/6P0ea95Huj9//nzMnDkTbdu2RWlpKZo3b47du3dj\n",
       "4sSJuHbtGtq2bQsbGxtMnjwZr7zyitZrlWJjY4Pu3bvD2dm5ekbXPClnf1Vg8uTJzNPTs8Lvk5SU\n",
       "xFQqlXow50nz22+/MQ8PD7O01bVrV/a///3PLG3pok2bNuzw4cNG1VWpVOzGjRsV2h9z4OXlxX75\n",
       "5ZcyX1/W11nRn72xY8eyd955p0x96du3L/vmm29Mvmd8fDzz9/c3+TpjqFevHktKStJ5vqSkhAUH\n",
       "B7Pr169XyP0rmhrnojl69Cg6deoEJycnuLi4oHPnzuqffp06ddI5yaM6MGXKFK3QvIrGmJj43r17\n",
       "45dfftE6Pm7cOMyfP9/gPS5evKjXnWIKhYWFaNSoUaXHcJtrLkFVozyva9++fUb53q2srPD333+r\n",
       "9yMiInDlypUy3VNKZGSk1vhNTk4OvL29FetfunQJfn5+6NmzJ3x8fMp9/8qg2rlo9PHgwQMMGDAA\n",
       "a9euxciRI/Ho0SMcOXJEPQg0duxYdXx4VaW4uBjW1spvS2xsLBYsWPCEe6SfvLw8nD59Gl27djX5\n",
       "Wn2vtazEx8cjJCREa6C3KlFSUoJatWpVdje0MPb9YE8gqqsi7mHqP6bWrVurxx2qKzXKghdCqJ57\n",
       "7jmoVCrUrVsXUVFRal/shg0bZINoVlZWWLt2LVq0aAFnZ2dMmzZNfa60tBRvvPEGGjVqhObNm2P1\n",
       "6tVqHybAJ3hI/XUxMTE6rZP169ejdevWqF+/Pnx8fLBu3Tr1ubi4OHh4eGD58uVwc3NDdHS0YhsX\n",
       "LlyAk5OTegBOSkFBAcaNG4cGDRqgTZs2OHnypOy8pkUktawzMzMxYMAAuLq6okGDBhg4cCDS0tKU\n",
       "H7AChw4dQufOnWFjYyM7vm7dOmzevBnLly+Hg4MDBg8eDIA/t+XLl6Nt27ZwcHBASUkJvL291VPk\n",
       "ExIS0LFjRzg7O6NJkyaYPn06ioqKjO7Pvn370K9fP8VzZ8+eRbt27VC/fn2MGjUKo0aNUj8Hzc8G\n",
       "IH9ue/fuRUhICBwdHdG0aVMsXLhQVvfbb7+Fl5cXGjZsqJXOIiYmBs8++yzGjBkDR0dHbNy4ESdP\n",
       "nizz64yMjMScOXMQHh4OR0dHDBkyRD1gqIm+z2lycjKsrKzw9ddfw8vLSx0OO2LECLi5ucHJyQld\n",
       "u3ZVD6wborS0FG+++SYaNWoEHx8f7N27V6vfggV9/fp1dO3aFU5OTmjUqBGef/55AFD/kgsKCoKD\n",
       "gwN++OEHxMXFwdPTU/aaVq5ciaCgIDg5OWHUqFHqsQEA2LVrF4KDg+Ho6AhfX18cOHAA8+bNw5Ej\n",
       "RzBt2jQ4ODiowy+l73F2djZeeukluLq6wtvbG0uWLFH/o9mwYQM6d+6Mt956Cw0aNEDz5s11ThKs\n",
       "StQogff390etWrUwbtw4xMbG6vzQS9m7dy9OnTqFCxcuYNu2bThw4AAALlCxsbE4f/48zpw5g507\n",
       "d+od2NFnHTRu3Bh79+7FgwcPsH79esyaNUsWSXDnzh1kZmYiJSVFPftPk3379mHAgAGK5xYuXIik\n",
       "pCT8/fffOHDgADZu3Ki3P9K+M8YQHR2NlJQUpKSkwNbWVvaPzhD79u1D//79tY5PnjwZL7zwAmbP\n",
       "no2cnBzs2rVLfe7777/H/v371TNPpX21trbGqlWrcO/ePfzxxx84dOgQPv/8c6P7s3//fsX+FBYW\n",
       "YsiQIRg7diwyMzMxYsQI7Nixw2irrl69eti0aROys7Oxd+9efPHFF+rXdOnSJbzyyiv47rvvcOvW\n",
       "Ldy7dw83b96UXb97926MGDEC2dnZGD16NGrVqlWu1/ntt99i/fr1SE9Ph7W1tVqwNDHmcxofH48r\n",
       "V66oP/v9+/fH9evXcffuXbRr1w4vvPCCUX1at24d9u7di3PnzuHUqVPYvn27zu/M/Pnz0adPH2Rl\n",
       "ZSEtLU2dZyc+Ph4AN2hycnJkcwik7fzwww84cOAAkpKScOHCBXXEUUJCAsaOHYuVK1ciOzsb8fHx\n",
       "arGOiIjAZ599hpycHMUZqdOnT0dOTg6SkpJw+PBhfPPNN+pgB6Htli1b4t69e3j77bd1GmNViRol\n",
       "8A4ODuqJS5MmTYKrqysGDx6sd7r3f/7zH9SvXx+enp7o1q0bzp8/DwDYtm0bZs6ciSZNmsDJyQlz\n",
       "5szR+7NR37l+/fqp88h06dIFvXr1wpEjR9TnrayssHDhQtjY2KBu3bqKbeizTH/44QfMmzcPTk5O\n",
       "8PDwwGuvvWZUKB3AI2uGDh2KunXrol69epg7dy4OHz6s91op+/fv19kv6X0EVCoVZsyYAXd3d9n8\n",
       "AIF27dqpJw55eXlh8uTJRvfnxo0bKC4uVox/Pn78OIqLi/Haa6+hVq1aGD58uDqayBi6du2qDi0M\n",
       "DAzEqFGj1P3avn07Bg4ciM6dO6N27dpYvHixVrqATp06qScE1a1bt1yvU6VS4aWXXkLr1q1hZ2eH\n",
       "xYsXY9u2bUbP/dAkJiYGtra26vdj3LhxsLe3h42NDRYsWIDz588jJyfHYNvbtm3DrFmz4O7uDmdn\n",
       "Z8ydO1dnn2rXro3k5GSkpaWhdu3asolTxjBjxgw89dRTcHZ2xsCBA3Hu3DkAPA9TdHS0OjS4SZMm\n",
       "8Pf31/v6Ae4227p1K5YuXQp7e3t4eXnhjTfewLfffquu4+XlhejoaPXzT09PNymVRGVQowQeAFq2\n",
       "bIn169cjNTUVFy9exK1btzBz5kyd9aW5XOzs7NThfunp6bKfhR4eHmXu0/79+9GhQwe4uLjA2dkZ\n",
       "+/btw71799TnGzVqJJsgoklWVhauXLmi80tw69YtWV+bNm1qdN/y8/MxZcoUeHt7w9HREV27dkV2\n",
       "drZRYvHnn3/C0dER7u7uRt8PgKyvmly7dg0DBgyAm5sbHB0dMW/ePNmz0oe+f4K3bt3S6qcw89kY\n",
       "Tpw4gW7dusHV1RVOTk5Yu3atul+3bt2SfT7s7Ozg4uIiu17z81Oe1wlA6/0uKipS578xFWlbpaWl\n",
       "+M9//gNfX184OjqqDRNj2tb8zuj7HC5fvhyMMYSFhSEgIEBmKRuD9Htra2urnk9x8+ZNvQOiun6x\n",
       "ZWRkoKioSPaZaNq0qcxdqakVAGThwVWRGifwUoSkVRcvXjT5Wjc3N6Smpqr3pWWAxz0LHyoA6iRc\n",
       "mjx69AjDhw/H22+/jX///ReZmZno16+fSbNVDxw4gB49euis5+bmhpSUFPW+tAzwD6M0qiQ9PV3d\n",
       "1sqVK3Ht2jUkJCQgOzsbhw8fNjo9gi73jKHXpe/1Tp06Fa1bt8b169eRnZ2NJUuWqMc9jOmPLoF3\n",
       "c3PTGluQplG2t7eXPSPN93P06NEYMmQIbt68iaysLLz88svqZ9SkSRPZ5yM/P19LrDVfc3leJwCt\n",
       "99vGxgYNGzbUqmfM51Tat++++w67d+/GoUOHkJ2drU5RbcznwdDnUErjxo2xbt06pKWlYe3atXjl\n",
       "lVdk40RlxdPTU51gThN9n7uGDRvCxsYGycnJ6mMpKSnlMuyqAjVK4K9evYr//ve/6i9yamoqtmzZ\n",
       "IpuQog+psI0cORKrVq3CrVu3kJWVhWXLlsk+IMHBwfj+++9RXFyMU6dO4ccff1T8ABUWFqKwsBAN\n",
       "GzaElZUV9u/fj4MHD5r0ugwJ6ciRI7F06VJkZWXh5s2bsmyJQl+/++47lJSUIDY2Vu3nBLgFYmtr\n",
       "C0dHR9y/f19r8FB4Lkro8ncLNG7c2OQvbW5uLhwcHGBnZ4crV67giy++MOq6/Px8nDx5Et26dVM8\n",
       "36lTJ1hbW+OTTz5BUVERduzYIRuMDgoKwl9//YXz58/j4cOHWikCcnNz4ezsjNq1ayMhIUE2bX/4\n",
       "8OH46aefcOzYMRQWFuLdd981KNZlfZ0Afz82bdqEy5cvIz8/H++++65W/h8BYz+n0n7VqVMHDRo0\n",
       "QF5eHubOnat1b12MHDkSn3zyCdLS0pCZmak4KU3ghx9+UI9TODk5QaVSqd1ajRs3Njl6RehXdHQ0\n",
       "1q9fj19//RWlpaVIS0tTZ/DU126tWrUwcuRIzJs3D7m5ufjnn3/w0Ucf6cz+Wl2oUQLv4OCAEydO\n",
       "IDw8HPXq1UPHjh3Rtm1b9eIIhgacpOcnTZqEXr16qWet9u/fH7Vq1VJ/CBcvXowbN27A2dkZMTEx\n",
       "WgNRQjsODg745JNPMHLkSDRo0ABbtmxRR5To6ocUxhgOHjyoTualxIIFC+Dl5YVmzZqhT58+eOml\n",
       "l2Rtrlq1Cnv27IGzszM2b96MoUOHqs/NnDkTBQUFaNiwITp16oS+ffsaNfM2KytLloBKiejoaFy6\n",
       "dAnOzs4YNmyYznpSVqxYgc2bN6N+/fqYPHkyRo0aZdRg9q+//opOnTrpdHXZ2Nhgx44d2LBhA1xc\n",
       "XLBt2zYMGzZMLQwtWrTAu+++i549e8Lf3x8RERGye33++ed49913Ub9+fSxevFidWAzg+Xo+++wz\n",
       "jB49Gk2aNEGDBg1krgql2PGyvk7h3JgxYzBu3Di4ubmhsLBQNmgovdbYz6nASy+9BC8vL7i7uyMg\n",
       "IAAdO3bUG1wgZdKkSejduzeCgoIQGhqK4cOH66x76tQpdOjQQR1h9cknn6jj0WNiYjB27Fg4Ozur\n",
       "B2qNDRpo3769OpDByckJkZGR6l8Sr732GrZv344GDRooum0//fRT2Nvbo3nz5oiIiMALL7yA8ePH\n",
       "63zd1WGeg4o9iaDWGsD+/fsxdepU2U+4J0FCQgJmzJghy3tSFdi2bRt27NihToNQ2bz66qsIDAzE\n",
       "yy+/bPQ148ePh4eHBxYvXlyBPTM/3bp1w5gxY6pl8iviyWLQgp8wYQIaN24sy+uhyYwZM+Dn54eg\n",
       "oCCTMudVZR4+fIh9+/ahuLgYaWlpWLhwodFWqDlRqVSKbpPKxtnZGbNmzarsbqgJDg6W/TIxhups\n",
       "21TnvhNPDoMCP378eL0B/fv27cP169eRmJiIdevWYerUqWbtYGXBGENMTAwaNGiAdu3aoU2bNrIV\n",
       "oJ4U7du3r5JZ7KKiohAeHl7Z3VAzadIkNG7c2KRrqnM6gerab+LJYpSLJjk5GQMHDsSff/6pde7l\n",
       "l19Gt27d1D7Jli1b4vDhwyZ/2QiCIAjzUu5B1rS0NK14cc1ZfARBEMSTxyyZnpRmK2pCPykJgiDK\n",
       "RlnHXMptwbu7u8smedy8eVPnzEYhztzS/xYsWFDpfagqf/Qs6FlU9rP48UcGgOHDD/n+3r18PyaG\n",
       "obCQQaViaNSInyssZPD05OfnzmX4v//jZc2/EycYGjTQPu7oKJZXr2awslK+vlYtvq1fv3yD6eUW\n",
       "+EGDBqlXaDl+/DicnJzI/04QRLXhlVf49q23+FaY2xUTA9y7BzAG3L0LlJQASUmAYM9u2gQ8nkOl\n",
       "xaefAvfvax/PzhbL//0voGs+3ONVBaEwOdkkDLponn/+eRw+fBgZGRnw9PTEwoUL1WlNp0yZgn79\n",
       "+mHfvn3w9fWFvb29yTklCIIgzM2SJcDOnUBcHKCxHrcWSkIsUFgolrt0Aa5dE/dTUoDHy+1q8Xh5\n",
       "Xr0Ik7y7dgV05ZlzcRHrlQWDAr9lyxaDjaxevbrsPbBAhAW1CXoWUuhZiJT3WbzzDt/u2gWMHq2/\n",
       "rpCGX2NJAwCAdGGw33/XPv94sTh4eoqWPQBI0tPrxcEBWLYMeLycMOztAUnqIGjkrDOZGpWqoLpA\n",
       "X2QRehYi9CxEDD0LxoA33wR+/FH7+OzZ4r6SaAPAL7/weg8fisdcXLjF/zhjOABAVyp8TdfJwIHa\n",
       "dRwdxXL//sBHH2nXSU8HHq/5DgDo0weQrspZXoGvUUv2EQRhGRw+DDxOMQUmGYc8dQpYvlzct9Jh\n",
       "wkZF8a1U5qBuAAAgAElEQVQ0uO/hQ0AzV92ZM8rXDxgAPF5jBHZ2/DrN9Vr69OFt7toFjB8PaC5/\n",
       "EBkpuo9efJH79CdMAJydxTrl9cGTBU8QRJUmKwtYvx6QrjkidWMIAp+TwwcupUjTte/dywVbOrAp\n",
       "WWgMWVnG90lqsbdoAUjWFJHV2bKF33PYMEAaXNiuHe+PwNdf818OffsC0nVo9I0PGAMJPEEQVZrn\n",
       "nuOW7Zw54jEhygQAHjzg27ffBjRz3wn/FK5f51b3008Dt26J569cKVufHi9fCwAICAB8fcX9OnW4\n",
       "a6hvX8DWFggJ4b8UpMspt2/PLX8BGxugbVtez9oaeJxYEwEBZeufALloCIKoVEpLefhh8+Zyl4mA\n",
       "sHzCwYO8nre3PNwwPZ37u3fu1L5WsNilWVZ++81wn/r0AfStqV2/Prf+T5/m7hdbW26Rq1Rc4BkD\n",
       "GjSQX9OokVjWs4AbAODkSWDrVmDiRPmYgqk8sXTBKpUKT+hWBEFUI2bNAj7+GPjsMzEmXYqm6K9b\n",
       "x6NUHq/TjUOHgO7dubX711/a17/7Lvdl61iXXJHTp7m1r4uySpnwWsaP524Z464pu3aSi4YgiArF\n",
       "kDZ9/DHfLlumXVfqihGYPFnuLxdcLroiThYtksevG0NIiHYETdeu3M1z5IhpbSlhxBrmZoEEniCI\n",
       "CmPUKKBjR2Wh1iQlBXjqKeDoUfGYZNlcGZoumtdfByQrUaJXL3l9pRmnEyeK5aFDuQ9cQKWSD9i+\n",
       "8QYPodyzB+jc2eBLMYgxz8MckMATBFFhbN0KnDhhvAX977/AmDHivsY66QC4+EoF/to17RjzkSPl\n",
       "+8eOyfcnTABCQ8V9OzvuMnFz45EvAJ+EJGBra1z/DbF+PeDhAbz3nnnaMwQJPEEQFY40XFHg1Cke\n",
       "PqiJ1Lq9d0/7PGNyy/5xKiw1GRnyiBVAPiMVAL76CnByEvdtbcUIm1Gj+LG6dcXz1mYKRxk3js94\n",
       "bd3aPO0ZgqJoCIKoEKTx5kIoo5ROncQ0AVKks0+VBB4Azp0Ty9J8MQAXbqn1rQvpTFNpyKKAdHBX\n",
       "V1Kwqg5Z8ARBlJuSEp5B8a+/gE8+AS5dkudjURJqJXEHgFq19F8HcFeOLmrVks9g/eMPHi4pWZcI\n",
       "gLYFr48n5TM3N2TBEwRRbtatk4ch2tjIRViXUCshdYdkZJStP25uYllI5DViBB84FQZgDVnwUoqL\n",
       "y9aPyoYEniCIcnP6tHy/qEi/BX/nju62Ll8GMjP5ZKJ9+4zvw7Ztom+7WTN+rdRqX7yYhz/278/3\n",
       "TRH46uqiIYEnCKLcaPrBAf0CHx6uv72OHXkCLqWJSwK2tny2aFoa97mPGCE/37evfN/OjrcpYIqL\n",
       "RnPQtrpAPniCIMoFY8oCLz2WkSG6OTSjYJS4ehWYP1/7uJeXWHZz47Nfhw7l4YemIhV1qd9fyuHD\n",
       "fMbsyy+b3n5VgCx4giDKTM+ePOOhh4f2OT8/sbxpE4+H/+sv4xfDUKJFC/GfQ5MmwODB/K8sSKNk\n",
       "dA34dunC/6orZMETBFEmCgp4HpizZ4FffzVcPzGRJwszZcAVkM8clS6OYa7JR4DyL5CaAAk8QRBl\n",
       "Ij1dLEvzs+ujY0eeKREAgoOVs0dK2biRr74kIB00TU427p7GQAJPEAQhQZpX3Vju3xcHQ11c5JEs\n",
       "SnTpIk+ta28vzlxdtsz0+2sydCjfaqY2qCmQwBMEUSakFnxZcHHRnnz09tvyfScnuZVvbc1z1eTm\n",
       "AkOGlO/+AF/TNTsb8PEpf1tVERJ4giDKRFkseClKAv/UU3Lfer168vPCJCh7e8PuHWNQqXi8fU2F\n",
       "BJ4gLJCzZ5WXq7twQX/suRRdAt+wIbBwoeHrlQS+QQN5TnjNJF/SPDWEYUjgCcLCyM3liz63aiU/\n",
       "XlQEBAUZvw7o7dvKxxs2FDMy6sPFhQ+6SnFw0J/3pbpOOKosSOAJwsLQJcwPH4plfVPzGeMrKiml\n",
       "AAZ4oi/p4GlEhHI9R0fuT1+8WDxmb68s8AcO8Dwy7dvr7hehDQk8QVgYukIapZN9dE38Abj7xdkZ\n",
       "2L9f+bxKJRf4Nm3kqyMJ1KvH/xm88454zNFR+Z9Lr1587VbCNEjgCcLCkAq81N8tjQXXFxcu+NcL\n",
       "CpTPW1nJF8tgjC+Pp7mMnjRn+/vvA889J5/IZI5BVEuHBJ4gLAzpcndDhvBFrAF5CoHypBPQFOaC\n",
       "Ai7mBw7I482lAj9nDvD99/I87uZaRcmSIYEnCAsjK0ss794NfPklLxtrwWvyyitysbbSUBWpb9/e\n",
       "XiwbWnVJVwIwwnhI4AnCwpBa8ALFxXKrXRD41at5xsbcXGDSJOXJRbNmydvUtOBJ4CsP+hFEEBaG\n",
       "ksAXFMit9kePuOhPn87369YF/vc/5fbs7OSirmnBS331UoHXnMSkCQl8+SELniAsDKmLRiAvD9iy\n",
       "RdwvLARycsT9uDjd7WlmdSQLvupAAk8QFoaSBf/WW8CKFeL+o0fGC7zmcneCBS/MUpVGxkhnotap\n",
       "o9xep058qxl1Q5gOuWgIohpx5w63fA2tIQrwWPY7d7QX4xDS9UrZtEm+X1goT1lw86bu+0izPQKi\n",
       "wB87xpN5TZoknpOGZeoKg9yxA9i8GRg/Xvc9CeMgC54gqgkZGTwZl3SlJH307Mmt6HPnxGOHDgGn\n",
       "Thm+ds8eoF8/7eOBgdrHNIVa2Pf0BGbOlLtljFm8unFjPnArXTOVKBsk8ARRTTh/nm+NzeIYH8+3\n",
       "O3eKxxITjbt2+XLtY7a2PM+MITQHWaUYI/CE+TAo8LGxsWjZsiX8/PywTCHDfkZGBvr06YPg4GAE\n",
       "BARgw4YNFdFPgiAkSF0dhhAmDK1cCUydatw1SkLs6Gjc5CN9g6M0O/XJolfgS0pKMG3aNMTGxuLS\n",
       "pUvYsmULLl++LKuzevVqhISE4Ny5c4iLi8Mbb7yBYmH5dIIgzIY0GkVXmgAlhIHNN98s3/0dHfWn\n",
       "6924kbuQVq/WXWfKFKBpU2DRovL1hTAOvQKfkJAAX19feHt7w8bGBqNGjcKuXbtkddzc3PDgwQMA\n",
       "wIMHD+Di4gJrmmNMEGZHGt4oRML88w/P4SL1s2tirq+jk5P+tl56ibuPlPz0Ao0a8bVU5883T58I\n",
       "/eh969PS0uApycjv4eGBEydOyOpMmjQJ3bt3R5MmTZCTk4Nt27bpbC8mJkZdjoyMRGRkZNl6TRAW\n",
       "iDS8MTsbcHPjohofD+zbJw9rlFr7+vKrm4IxLhpjXDDkptFPXFwc4vTFpZqA3rdLZcQ78f777yM4\n",
       "OBhxcXG4ceMGoqKicP78eTgozGKQCjxBEKYhFXjBmr9+nW81c7NL6546JU/JW1YcHfUPoBLmQdP4\n",
       "XWjM8lg60Pt2ubu7IzU1Vb2fmpoKD42g2t9//x0jHi+T7uPjg2bNmuHq1atl7hBBEMoouWh0RaVI\n",
       "6/7wA7BkSfnvX68eoPmju0GD8rdLVBx6BT40NBSJiYlITk5GYWEhtm7dikGDBsnqtGzZEr/88gsA\n",
       "4M6dO7h69SqaN29ecT0mCAtF00UDKEfT5OQoT2YqL6WlfNLSN99w3/+33+r3/ROVj14XjbW1NVav\n",
       "Xo3evXujpKQE0dHRaNWqFdauXQsAmDJlCubOnYvx48cjKCgIpaWlWL58ORrQv3WCMDtKLholCz4y\n",
       "Ejhzxvz3LynhIZBjxvD9F180/z0I82JwfL1v377o27ev7NiUKVPU5YYNG2LPnj3m7xlBEDKMcdFk\n",
       "Z5tP3Jcu5REvj+05UPRz9YOGTAiimmCMBX/woPnuN3w4sGaNuK8rORhRdSGBJ4hqgjRS5u5dvtX0\n",
       "wV+5Ynq79esD27drH3dz49tvvuELZ5cjmIOoJGhGEkFUE6SzV2/dAr7+Wu62CQ3lGSSNoU4dcQWn\n",
       "a9d4gi9NhAU5xowR/e5E9YIEniCqCfn5YvnWLSA6Wn7+9Gnj27KzEwW+bt3y942ompCLhiCqCVIL\n",
       "Pj3dtGuffRaYN0/cl+aT11yRiag5kMATRDVBasHfuWPatc2aiT51QD5gKiQQa9pUPBYQYHr/iKoH\n",
       "uWgIohL54w/Aywto0kR+/MQJfkxIBVVSwl0qKhVP2PXvv/rbjYvjfvXsbODqVWDwYECaJkqackDI\n",
       "SHL6NL8vAHTsWK6XRVQRSOAJopI4f56vP1q7tugPB3h+mQ4deFmIkhGSh9nacuHXJ/ANGgBdu4r7\n",
       "4eF8K11aTynNVMOGQP/+pr8OoupCLhqCqCQOH+bbwkL5celaqAKCe8bWllvw+tD8NSAgFXhKGmYZ\n",
       "0NtMEJVEZqbycaUVkQSBt7MDXFzE41JLXUDqa5diyIInah4k8ARRSegSeOnsVMG6FyJobG3lAu/i\n",
       "wlMJ9OghHnN1VW6XLHjLg95mgqgkpJOUpEhnrArpCaQWvHTh64YNgcmTgccJXQEA9vbK7ZIFb3mQ\n",
       "wBNEJaHLgpeuzCQIvGDBa7ponnpK+3ppjLsUEnjLgwSeICoJIZ8MIM/UKBX42bN5JI10kFUq8P7+\n",
       "2u0aY8GTi8YyoLeZICoJyWJpslmqUoHfsQOIjdU9yNqihVj28+NbXaGOZMFbHhQHTxAVzF9/8dwx\n",
       "UVHisbw84OZNcf/hQ0BYxlhzfdWUFB4zD3AL3tlZPCcV+BMngBs3eNIxJUjgLQ+y4AmiggkIAHr1\n",
       "kqfyTUyU19FlwQPA778DX3zBy5oumvr1xbKzs25xB+QC36kT30rbImoeZMEThInk5fGZp6auTHn8\n",
       "ONCyJS9fuyY/9/AhbzM7W1vgv/lGLF+7Bvj48FTBzZqZdn8h5wzAF+Fu1owv6kHUXEjgCcJEXFy4\n",
       "GOfnm5aJMTlZLF+9Kj9XUMCt6jNngJAQ3W0Ig6Pjxxt/XwFrybfd0RF4803T2yCqF+SiIQgTEfLG\n",
       "mJrRUSrwSha8sJbq2bN8qxTuKKyPWhakfnfywVsGJPAEYQLSJfKsDfz+ffAAaN1a3N+4EXj6aS7m\n",
       "gsALFrnUBy9w+DDwf/8n7k+fzpfOKysk6pYHuWgIwgSkWR81F7zWZP164PJl+bEzZ/jC2IKLJiiI\n",
       "W+z378vrqVQ8jbD0HuUdEPXwAMLCAHf38rVDVB9I4AnCBKSLbhha/1QzS6TAxYt8MNXJiS+ycfas\n",
       "PGQS4ELcqJGYJhgov8BbWfGBXrLkLQdy0RCECUhdKdLZp0roOn/0KN96e4uDtJoCP3Ag30pTETg5\n",
       "Gd1NnZC4WxYk8ARhAqZY8CUlyseFQVR7e3HB67Q0eR1B4KWhjbraIwhdkMAThAlIBd6QBa9LkG/f\n",
       "5ls7O90WfGCg9nVCKgKCMBbywROECUhdNJoWfEYGTzPg7c33DVncdnbaFryHB3DggNyVcvEi8Oef\n",
       "4uxTgjAWEniCMAF9FrywlF5WFp9IZEjgbW1FC/7GDb4dO1YeWgnw0MjyhEcSlgu5aAjCBHT54KXh\n",
       "jOnp2ueVsLPTXl+1ffvy9Y8gpJDAE4QJ6IqiycgQy61a8UlKeXn627K1la+fWqcO0LOnefpJEAAJ\n",
       "PEGYhC4L/tYteb0XXtAWeF9foE8fcd/ODmjSRNxv3173Yh0EURZI4AnCBKQWfHY2MHgwsGWL6JYR\n",
       "ePRILvB+fjxFcK9e4jE7O7kFr7Q6E0GUBxJ4gjABqQW/dCmwezcwerS2Ba8p8EIOG+lkJU0XjXTx\n",
       "DoIwByTwBGECUoE/d04sa1rwOTnAb7+J+8IgrKOjeMzOTu6S0RxwJYjyQgJPECaglPUR0BZ4QJ5H\n",
       "RpcFL4UiaAhzQ3HwBGECUgteyr17+q8TBF7TggeA69d5rviAgHJ3jyBkGLTgY2Nj0bJlS/j5+WHZ\n",
       "smWKdeLi4hASEoKAgABERkaau48EUWVQEvhateRhkkroctEAfAm+Hj3M0z+CkKLXgi8pKcG0adPw\n",
       "yy+/wN3dHe3bt8egQYPQqlUrdZ2srCy8+uqrOHDgADw8PJBh6JNOENWY3FztY3Z2xlvw+lw0BGFu\n",
       "9FrwCQkJ8PX1hbe3N2xsbDBq1Cjs2rVLVmfz5s0YPnw4PDw8AAANGzasuN4SRCWjuSC2QFlcNCTw\n",
       "REWj14JPS0uDp6enet/DwwMnTpyQ1UlMTERRURG6deuGnJwcvPbaaxgzZoxiezExMepyZGQkuXOI\n",
       "aoeSwDNmvMBL0/9Kl/8jCIG4uDjExcWZpS29Aq8yYnWAoqIinDlzBocOHUJ+fj46duyIDh06wE8h\n",
       "t6lU4AmiOqIk8EpuG02UlvfTteITYdloGr8LFy4sc1t6XTTu7u5ITU1V76empqpdMQKenp7o1asX\n",
       "bG1t4eLigi5duuD8+fNl7hBBVGWMEXMlpNZ6z548TXCHDubpE0HoQq/Ah4aGIjExEcnJySgsLMTW\n",
       "rVsxaNAgWZ3Bgwfj6NGjKCkpQX5+Pk6cOIHWmvlOCaIKU1AAvPUWcPKk4bq6fPCGkAr8wYNAZibg\n",
       "4FC2tgjCWPQKvLW1NVavXo3evXujdevWeO6559CqVSusXbsWa9euBQC0bNkSffr0Qdu2bREeHo5J\n",
       "kyaRwBPVipUrgRUr+ELXhjBW4CdMkO9PmiSWVSpxoQ+CqEhUjD2ZoR6VSoUndCuCMIkJE4D163lZ\n",
       "8yN6/z6wfTtfcKNTJx7zrutjPHcu8P77vFxQAJw4AYSGAqdP82utaVohUQbKo530kSMsHn2xBIsX\n",
       "Ax9/zMv//qs/8sXZWSzXrQt07crLXbqUv48EURYoFw1h8egTeGGtVEBcVk8X9AOVqGqQwBMWjz6B\n",
       "l/rck5N11yP3C1EVIYEnLB5zCLw+3zxBVBYk8ITFIxX4AQPkQi0V+DlzdLdhbU0CT1Q9SOAJi0cq\n",
       "8Hv38sFUAaWJTc2aaR+ztubROK6uwOzZ5u8jQZQF8hwSFo+mi+bOHaBxY+CTT4C//5afa9oUeO89\n",
       "vqi2FGtrviLT7dv6XT4E8SQhC56weDQFOT2du1tee027bmCg8oCqcIzEnahKkMATFsmdO8A33/Ak\n",
       "YJqivHQpkJWlfF2LFvKMkAIURUNURehjSVgkXl7Ao0dA7dra5w4fFic3aRIQoN+CJ4iqBH0sCYtB\n",
       "8I/Xq8fFHQBSUoCSEu26monH1qzh6QdGjwaUUnWTwBNVEfpYEhZBaSng5sbLsbHicWdn5bzstWrJ\n",
       "96dMEctKLpoWLcrfR4IwNyTwhEVw965Y/ucfsfzokbLA37qlu63AQLE8eDBQvz7wwQfl7yNBmBsS\n",
       "eMIiSE8Xy7dvi+WyCLyrq1hu0AD4+uvy948gKgKKoiEsAqlg37kjlh89AoqKtOtL/wl88on2+Z07\n",
       "AT8/mtREVG3IgidqPG+/DWzaJO4bY8ELfPwxMH269vHBg/kfQVRlSOCJGk1+PvDhh/Jjpgh806YV\n",
       "0y+CeBKQi4aodL7+Wjn00BwoTViS+uP1CbyNDdCjR8X0iyCeBGTBE5XKlStAdDQvV0Q2xuxs7WPG\n",
       "WvCdOvEIGYKorpAFT1Qq0gHPsnLliu5c7UoCX1AglvUJfOPG5e4aQVQqZMET1ZrcXKBVK15W+gWg\n",
       "K6eMgD6Bt7cvX98IorIhC56oVMqaffHhQ76VrplaVCRPO/DwobIFL4UEnqjJkMAT1Y74eMDWFlix\n",
       "AnjwQDzetCkQHMzLc+fyOseO6W9LU+Clok4CT1R3SOCJaocwueitt+QumNu3gYsXuatm6VJ+7NNP\n",
       "xfMTJ2q3JRV4d3fgs8/EcyTwRHWHfPBEtYAx4Pnn+XJ5UuHt1Uu7rpLLZdEioEsX4H//kx8/eFAs\n",
       "nzkDXL8u7pPAE9UdEniiWnDxIrB1Ky8bmkGal6d9zMkJqFNH/3W1a8vrkMAT1R1y0RCVijTypbRU\n",
       "dz1pNsh69fS3+dFH2sccHZUX95BCAk/UNEjgiUpFGvWitPCGwL17YtmQ8L73nvaxZs0MW/B16pDA\n",
       "EzULEniiUikuFstxccC1a8r1yjMhqmtXoHNn3Rb8a68BiYl8kQ8SeKImQT54olKRCrwwYKo0YUma\n",
       "P0YaGmkMr77K4+11CXz79oCvLy+TwBM1CbLgiUpFKvAC9+/L9x88AJKSxH1Dk5c0EZbT0+WiadhQ\n",
       "LJPAEzUJsuCJSkVJ4F1ceLiijw9PReDiIq9nKP2AJoJ1rsuCd3ERyyTwRE2CLHiiUlESeADYtYtv\n",
       "z5/XrqNpwesbPJ09WxRqXfV0Cbydne52CaI6QAJPVCq6Imdq1eJb6QLZApoC36iR7vali2EbY8Fb\n",
       "Sb4RhqJuCKKqQwJPVCq6LHjrx87Dq1e1z2m6aPQJvFKbUtq3Bxwc5Me6dQPatuULahNEdcagwMfG\n",
       "xqJly5bw8/PDsmXLdNY7efIkrK2tsWPHDrN2kKjZ6BJ4wYJXCpvUnKnq5GTcvVQquVV+9Chw4oR2\n",
       "RstDh4CzZ+XWPEFUR/R+hEtKSjBt2jTExsbi0qVL2LJlCy5fvqxYb/bs2ejTpw9YRSzLQ9RYdAm8\n",
       "wN9/6z+vKdqGkLppatdWTlesUpG4EzUDvR/jhIQE+Pr6wtvbGzY2Nhg1ahR2CaNfEj799FM8++yz\n",
       "aGTsb2WixnP5MrB/v+F6ugReyPd+65bua/ft4/HxNjbG90v6z8CU6wiiOqJX4NPS0uDp6ane9/Dw\n",
       "QJp0hYXHdXbt2oWpU6cCAFRlXcGBqDEwBrRuDfTrB9y4ob+uLoHPz+e5aaTrp2ri78+X1TOUY0aK\n",
       "tC4JPFHT0RsHb4xYz5w5Ex988AFUKhUYY3pdNDExMepyZGQkIiMjje4oUbXJyeGDn56ePPOjwL//\n",
       "8nh2XeiKosnPBzIy+D+AOnX44h4//sjTGQjUrcu3UqF+7jng5Endrh0SeKKqExcXhzjpB70c6BV4\n",
       "d3d3pKamqvdTU1Ph4eEhq3P69GmMGjUKAJCRkYH9+/fDxsYGgwYN0mpPKvBEzaJFC25t37kjz7Gu\n",
       "lLpXii4LvqBAdM/4+gLTpvF87UoCLxXt2bOBVat0Czy5aIiqjqbxu3DhwjK3pVfgQ0NDkZiYiOTk\n",
       "ZDRp0gRbt27Fli1bZHX+lnyTxo8fj4EDByqKO1FzKSkRXSmJifLUvjk5+q/V56IRBL5JE77VHEwV\n",
       "9qVC7eAAfPghX/Tj1Ve125X+M1AKmySImoTej7i1tTVWr16N3r17o6SkBNHR0WjVqhXWrl0LAJgy\n",
       "ZcoT6SRRtUlJEcuMcetbIDdX/7W6BP7BA6B/f152c+NbwWIXEAReKtoODjwufvNm5XbJgicsCYM2\n",
       "TN++fdG3b1/ZMV3Cvn79evP0iqhWSGPVc3LECBhhXx+6BD4xUSwLPwg1BV6wwKVCbWgxEPLBE5YE\n",
       "RfsS5UY62zQnR27BGxJ4XYOs//7Lt23aAMOH87Iul4o0Zt1Q/hgSeMKSIIEnyo1kHN5sFrywwIc0\n",
       "jYAg+gAQFiaWHz0Sy4YCv8hFQ1gSJPBEuZEm/8rN1e2D/+or4Ngx+bWaAr9xI98K/ySkLhdp4rHf\n",
       "fhPLUoE3BA2yEpYECTxRbqTJv3S5aM6fByZO5EvnSdEU+MBA+b7Ugu/alW+fflruijFF4KWTrUng\n",
       "iZoOfcSJMlNYCJw+LV+BSZeLRppy4OFDccBUU+A1fehSgX/9dcDbW1zaT9qesSxZAgQF8SySNOma\n",
       "qOmQwBNl5rXXgDVr5Md0WfAZGeKx69eBgABeNkXg69QBnn9eux+mCPxTTwEzZhhfnyCqM+SiIcqM\n",
       "prgD2ha8kLpIumi2EFZZVKQt8M7O8n1DYY+AaS4agrAkyIInzIqmBf/nn8DOnXIXzdWrfKZqixbi\n",
       "PwABe3s+EFpYyPc1F+NQglZeIghlyIInzEpurrbL5ORJuQV/7x5w6ZK2uAPcLy5dQs8Ygf/4YyAk\n",
       "hP8jIQhChASewK+/8ggVQ4trGIPUgp87l28fPpQLfF6euGKTEqYKvK8vT0Q2eLDp/SWImgwJPIEe\n",
       "PYD4eGDSJOOv0eX3llrwwlJ6Dx/KE5Dl5XEXjS4aNhTLxgg8QRDKkA+eUJOZabgOYzzU0MtLflyl\n",
       "4uekAu/oyLePHslj5Q0JvNSCN2aQlSAIZUjgCTXGxIVv3w7Mn6993N0duHlTjImvUwewteXlhw/l\n",
       "s13z8uQDsZpIBV5aJgjCNMhFQ6iRJu26dg04flzcv34d+OMPHhWjhK8v3wqpCerWFSczPXggF3RD\n",
       "Fvy9e2I5JMT4/hMEIYcseEKN1IL39+fbu3e5T9zPj+8PHKh8ra+vfLUlW1tR4KVJwgDDAt+8Od+6\n",
       "ulI6AYIoD/T1IdQIAi+dfHT/vnzQU9dSke7uXNQFS11qwWsunG3IRTN/Pp/RSuvJEET5IBcNoUYQ\n",
       "eKnFrRktoyv9r6srn6QkYGsrTkAS2hP+URiy4B0cgJgYcSUngiDKBgk8oUYQeOmsU0OLZgvUry8X\n",
       "+NatRQtesNaFtVV1WfB//GFafwmC0A8JPKFGEHjNSUmMGb7WwUEu8AMHai+x5+7Ot1lZwIIF8nMb\n",
       "NgAdOpjcZYIg9EACT6gRomg0LfiiIv3XubvzyVLSmPWuXbVzxLi6yiN1BBo0AAYMKFufCYLQDQk8\n",
       "oUaXi0ZftsYdO4DkZC7uQtw7wN0xmha8k5PcygeAtWv58nwU704Q5ocEnlAjCLw0d7shgXdyEkMZ\n",
       "pf762rWNE3g7OwqFJIiKgr5ahBrBfSIdAD12TP8MVyEdAcAnNEnRFPgmTbQFXmr1EwRhXkjgLRyl\n",
       "AVSpwG/YwP90IRV4aToCQNsH36SJvD5AAk8QFQm5aCwcYWENgE9wyskB/vnH+Ovr1xfLmha8psC7\n",
       "uQFhYfJj+iY8EQRRPkjgLRzp4hyFhTzSxZR4dGk6XyHDpJDWQKWSi3yTJkD37vLr9eWFJwiifJCL\n",
       "xsKRDqA+emTaAtaAXMC3b+fx7UuWiMekYZGursCwYcCsWcCVK3yfwiMJouJQMWbMNBYz3EilwhO6\n",
       "FaHAs8/y6JjffpMPmqakiJa3u7vyMnr6MPSWCveysgJKSkxrmyCI8mknWfAWwo8/8m1GBtCokXhc\n",
       "arFLZ7CaGx+fimubIAhlyAdvAZSWimXNkEepi0Zaz9z07FlxbRMEoQwJvAWgGSkjxVSfu6kIC2G/\n",
       "9vrGcksAABLaSURBVFrF3ocgCG1I4KsJjx4BH3/M0wKU5VoBzbwyFS3wW7bwfPDCAiIEQTw5SOCr\n",
       "CQsX8uiTXr1Mv7YyBd7WFmjcuGLvQRCEMiTw1YT/+z++TUzUX48x4MwZ+YIaUoE/fhw4e5ZPaEpI\n",
       "APbvN39fCYKoGlCYZDXByUlMBaDvMe7aBQwZwtP3/vILP3b9ujj5yJzY2Mj9+wRBmJ/yaCdZ8NUE\n",
       "QdyV8qlL+fprvj10SDymb3m88lC7dsW0SxCEeTBK4GNjY9GyZUv4+flh2bJlWue/++47BAUFoW3b\n",
       "tnjmmWdw4cIFs3fUkpGGLxpapzQzU76fmAgEBZm/TwDg7Fwx7RIEYR4MCnxJSQmmTZuG2NhYXLp0\n",
       "CVu2bMHly5dldZo3b474+HhcuHAB8+fPx+TJkyusw5aI1AI39EtNU+AXLTL+Pg0bcreLwP79QJs2\n",
       "ynXbtAF27jS+bYIgnjwGBT4hIQG+vr7w9vaGjY0NRo0ahV27dsnqdOzYEY6P88CGh4fj5s2bFdNb\n",
       "C0Xq587J0T6/Zw/3ud+5oy3wmil8dfHRR8Ddu8Bbb4nH+vQBLl7UruvhwY8//bRxbRMEUTkYTFWQ\n",
       "lpYGT09P9b6HhwdOnDihs/5XX32Ffv36KZ6LiYlRlyMjIxEZGWl8Ty0YqcDn5nIrXjojddAgvn3j\n",
       "jbILvJAVUim743vvAe+8I+7TWDlBVBxxcXGIi4szS1sGBV6lbzkfDX777Td8/fXXOHbsmOJ5qcAT\n",
       "xiMNc2SMu2xUKmDZMmDkSPHcd9+JZUGoNXO060IQeKVB3HnzgFde4YtjC30gCKJi0DR+Fy5cWOa2\n",
       "DLpo3N3dkZqaqt5PTU2Fh4eHVr0LFy5g0qRJ2L17N5xp9M2saIYi5uQAH3zA/euBgcrXCAtx6LPg\n",
       "R48Wy4LAR0TI9wXoLSWI6odBgQ8NDUViYiKSk5NRWFiIrVu3YpDgE3hMSkoKhg0bhk2bNsHX17fC\n",
       "OmupaC56nZMDnDvHy7qs6cxM4OhRIClJ+fybb/Lc7QL16vGtED9/7Zru/pAFTxDVA4MuGmtra6xe\n",
       "vRq9e/dGSUkJoqOj0apVK6xduxYAMGXKFCxatAiZmZmYOnUqAMDGxgYJCQkV23MLQtOCz82V79va\n",
       "Ki99J1jjSjz/vOhyAeQWe48eytf4+fGwy9BQ/f0lCKJqQDNZqwHHjwMdO4r733wD/PADj54BuL/d\n",
       "1MU0rl8HmjYVJyslJgKGfnwlJwPr1vGcONKc8gRBVBzl0U4S+GrA4cOAuQOObt3ik6aEMfR//uGC\n",
       "TxBE1YJWdKrhGJPvxcUFuHfPuPb69weeeoqX580DUlMBSSQsQRA1BMpFUwVhjK+h+sorfF8YZO3X\n",
       "DzhyRPkaV1fj29+0SbTc33sP2LhRe6UngiCqPyTwVZA7d/gaql98wfcFC75OHZ5OQInHE4mNok6d\n",
       "8vWPIIjqAQl8FUQ6YFpcLFrwtWtzV4wSTk7Gt09ZIAnCMiCBr4JIQx7z8uQWvK4JRz4+xrevlI6A\n",
       "IIiaBw2yViFSU3lIpHT9UqnA164NWEvesfr1uT8dALp3Bz777Mn1lSCIqg8JfBUiOBi4f5/HmQvk\n",
       "5cldNFKaNgUGDhT3HRyUs02aEmFDEETNgVw0VYj79/l2927xmKaLRormgOuZM8DKldrtnjpleCUo\n",
       "giBqHvS1r4Lcvi2W9VnwAQHyfV9f4PXXtdvz9gZmzjRrFwmCqAaQwFdB8vLkZU0Lfv9+YOhQ3as1\n",
       "/fqr9jGaREwQlgf54Ks4vXuLZcGC79OH/+miWzdg4kTgf/8Tj5HAE4TlQRZ8NcKU+PV583g6go8+\n",
       "4vsk8ARheZAF/wRhDFi4kEe/TJigfc4QpsxA9fbmCcWEFAQk8ARheZDAP0GuXOECDwDjx8vzvxiT\n",
       "UMzUGajS9ktLTbuWIIjqD7loKoitW4E//pAf+/tvsZyWxrf5+cDq1TwfuyHKk0OGLHiCsDzIgq8A\n",
       "rl8HRo3iZamwSpfBu3YN8PDgFv3y5YC9veF2y5NDpn17vqU0BQRhOZAFXwHcuqV8/OpV7XJ8PN9K\n",
       "QyN1UR4rfMwY4Ntv+T8fgiAsA7LgK4CHD8VyQQFfMxUA/vpLPC6U7eyMb7eoqOx9srICXnyx7NcT\n",
       "BFH9IIGvAKR5X+7d466YrCyeSEwgNpZb5PpcM/XqAb/9xgdgt2wBXnih4vpMEETNgwS+AsjIkJc9\n",
       "PLigFxcDnTvzaJobN7gfXnPgtH594MEDXl6xAggN5eVOnZ5M3wmCqDmQD74C0LTgAWDPHr4dMgQI\n",
       "D+flK1e0fe8PHgBr1gBPPw2MGFHxfSUIouZCAm9GiouBSZPEWHeAu2W6dwc2b+b7AwcCTZrw8q1b\n",
       "QHa2djtTpvAMkA0aVHyfCYKouZCLxoz83//J878AwDvviGUPD6BFC8DNje8rCbyuBGIEQRCmQgJv\n",
       "Ju7eBZ57Tn8dT0++FSz4994Tz505w/8B6FpUmyAIwlRI4M3EunWG49QFYRcseCnNmwOOjubvF0EQ\n",
       "lgv54I3k0SPgl1/ExTc0uXzZcBuCsAtCL8XBoex9IwiCUIIE3khmzwaiooD//Ef5vHSWqsC0afL9\n",
       "xo351sNDuy4tqUcQhLkhF40e7tzhk43s7YFVq/ixjz8Wc6yXlPDIGRsbHvUCyBe+1nTFWD9+2k89\n",
       "xV06rq7cd+/qWvGvhSAIy4MEXgebN/OZo87OfFKSEmPGAAcOAF5efN/JiUfJJCTwVL2arhipG2bS\n",
       "pIrpN0EQhAA5BnQgpBXIzATOntU+n5nJ0wfcvy+ef/VV4MsvgQ4dgLg4bqkLREQAY8dWeLcJgiDU\n",
       "WJQFn5MD9O3LJxvFxQGDBwMvv6xcV5puQJrmF+AJxJo3lx/r2lUMexTywAuZIjXLBEEQTwKLEvj1\n",
       "64Fjx/gfwPPD6BJ4aboBzQiZvXt58jAp48drtxEayq34kJCy95kgCKKs1GiB374dSE8Hpk/n+7m5\n",
       "2nWKivggKcCXtXv/faBjR7nAb90qv0bIEfPmm3zmaX4+4OKi3badHfDPP+LgKkEQxJOkxkoPY6IQ\n",
       "d+7MreiSEu16SUl8YBQANm0C5s/nZW9vsc6dO8r3iI7mud6FfO9KlGcVJoIgiPJgcJA1NjYWLVu2\n",
       "hJ+fH5YtW6ZYZ8aMGfDz80NQUBDOKo1IVhAXLvCIlT//BPbtA774Ajh8GLh4EfjxR7He+PF8QHTp\n",
       "Uu02Pv6Yh0AePMgnMgn8+y/f/vwzt+C3beP/KARmzQJatixbv+Pi4sp2YQ2EnoUIPQsRehZmgumh\n",
       "uLiY+fj4sKSkJFZYWMiCgoLYpUuXZHX27t3L+vbtyxhj7Pjx4yw8PFyxLQO3MpmCAsa4nV5xf7Vq\n",
       "MVZaKt5z7lzx3OnTZe/7ggULyv36awr0LEToWYjQsxApj3bqddEkJCTA19cX3o/9FaNGjcKuXbvQ\n",
       "qlUrdZ3du3dj7OP4v/DwcGRlZeHOnTtoLEzblHD6tNn+L5mlrdmzeURMfDxw7pz2eRcXHs8u4OMj\n",
       "lv38yn9/giCIikSvwKelpcFTSIEIwMPDAydOnDBY5+bNm4oCL6xO9CR5+21g+XLt4y1bAh98wMtb\n",
       "twKjRmnX0Rw4lc5MpdwxBEFUdfQKvEpqvuqBaaRR1H2dce2ZEyVxB/hqSoZe3uXLuusY+Wh0slC6\n",
       "KoiFQ89ChJ6FCD2L8qNX4N3d3ZGamqreT01NhYdGpizNOjdv3oS7u7tWW5r/BAiCIIiKRW8UTWho\n",
       "KBITE5GcnIzCwkJs3boVgwYNktUZNGgQvvnmGwDA8ePH4eTkpOieIQiCIJ4sei14a2trrF69Gr17\n",
       "90ZJSQmio6PRqlUrrF27FgAwZcoU9OvXD/v27YOvry/s7e2xfv36J9JxgiAIwgBmi+XRwf79+5m/\n",
       "vz/z9fVlH3zwQUXfrtIZP348c3V1ZQEBAepj9+7dYz179mR+fn4sKiqKZWZmqs+9//77zNfXl/n7\n",
       "+7MDBw5URpcrjJSUFBYZGclat27N2rRpw1atWsUYs8znUVBQwMLCwlhQUBBr1aoV+89//sMYs8xn\n",
       "IVBcXMyCg4PZgAEDGGOW+yy8vLxYYGAgCw4OZu3bt2eMme9ZVKjAGxNHX9OIj49nZ86ckQn8W2+9\n",
       "xZYtW8YYY+yDDz5gs2fPZowx9tdff7GgoCBWWFjIkpKSmI+PDyspKamUflcE6enp7OzZs4wxxnJy\n",
       "cliLFi3YpUuXLPZ55OXlMcYYKyoqYuHh4ezIkSMW+ywYY2zlypVs9OjRbODAgYwxy/2eeHt7s3v3\n",
       "7smOmetZVKjA//7776x3797q/aVLl7KlS5dW5C2rBElJSTKB9/f3Z7dv32aMcdHz9/dnjPH/xNJf\n",
       "Nb1792Z//PHHk+3sE2Tw4MHs559/tvjnkZeXx0JDQ9nFixct9lmkpqayHj16sF9//VVtwVvqs/D2\n",
       "9mYZGRmyY+Z6FhWaD14pRj4tLa0ib1klkU78aty4Me48Tm5z69YtWVRSTX4+ycnJOHv2LMLDwy32\n",
       "eZSWliI4OBiNGzdGt27d0KZNG4t9FrNmzcKHH34IK8lalZb6LFQqFXr27InQ0FB8+eWXAMz3LCo0\n",
       "2ZixcfSWhEql0vtcauIzy83NxfDhw7Fq1So4aMwQs6TnYWVlhXPnziE7Oxu9e/fGb7/9JjtvKc/i\n",
       "p59+gqurK0JCQnTmnLGUZwEAx44dg5ubG+7evYuoqCi01EhyVZ5nUaEWvDFx9JZA48aNcfv2bQBA\n",
       "eno6XB8vwmrsHILqTFFREYYPH44xY8ZgyJAhACz7eQCAo6Mj+vfvj9OnT1vks/j999+xe/duNGvW\n",
       "DM8//zx+/fVXjBkzxiKfBQC4PZ4i36hRIwwdOhQJCQlmexYVKvDGxNFbAoMGDcLGjRsBABs3blQL\n",
       "3aBBg/D999+jsLAQSUlJSExMRFhYWGV21awwxhAdHY3WrVtj5syZ6uOW+DwyMjKQ9XiVmIKCAvz8\n",
       "888ICQmxyGfx/vvvIzU1FUlJSfj+++/RvXt3fPvttxb5LPLz85GTkwMAyMvLw8GDBxEYGGi+Z2H+\n",
       "IQM5+/btYy1atGA+Pj7s/fffr+jbVTqjRo1ibm5uzMbGhnl4eLCvv/6a3bt3j/Xo0UMx5GnJkiXM\n",
       "x8eH+fv7s9jY2Ersufk5cuQIU6lULCgoiAUHB7Pg4GC2f/9+i3weFy5cYCEhISwoKIgFBgay5cuX\n",
       "M8aYRT4LKXFxceooGkt8Fn///TcLCgr6//buJiSVLowD+H+UCioXEdEHbqpdTh+KgRHWphaBtghM\n",
       "iCDbRAgSWNgu3BjyVrRoHdSiCBKC3LawTUZEQSZUEEhBRB8QQQSSzrvodbB7rey+dq93+P9W+pzx\n",
       "8ZxZPB6PnhmpublZ0ul0co3M1bkQJInXECAiUqJvXaIhIqI/hwWeiEihWOCJiBSKBZ6ISKFY4OmP\n",
       "u7+/h16vh16vR3V1NbRaLfR6PQwGA15eXgAAwWDw3Zu+pywtLcHlcmWMq9VqRCIROSaKIi4uLnLS\n",
       "/9LS0pzkIcq1b93JSpSN8vJyHB4eAni9i49Go4Hb7ZbbE4kErFYrrFbrh3k+2tGn1Wrh8/mwtrb2\n",
       "6bFf9X9yJRIJqNXqnPWFKB1n8JR3JEmCw+HA6OgoTCYTPB4PlpeX5dl5MBiEyWSCwWBAd3c3bm5u\n",
       "PswnCAIsFgui0SjOzs5+ak+fgQcCAQwPDwMAHA4HnE4n2traUF9fj1AohKGhITQ0NMjHpLjdboii\n",
       "iK6uLtzd3QEAzs/P0dPTA6PRiI6ODpyensp5U2ObnJz89RNF9AkWeMpLgiDg6uoK4XAYc3Nzb9rM\n",
       "ZjN2d3dxcHAAu92Of/678e5HWzpUKhU8Hg+mp6czvlemxwDw8PCAcDiM+fl59Pb2wuPxIBqNIhKJ\n",
       "4OjoCMDrDsTW1lYcHx+js7NTvpfoyMgIFhYWsL+/j5mZGTidTjlvamyzs7NfPDNE2eMSDeUtm82W\n",
       "cfnj8vIS/f39uL6+RjweR11dXVb5BgYG4PP5EIvFsjpeEAR5WUgURVRVVUGn0wEAdDodYrEYmpqa\n",
       "oFKpYLfbAQCDg4Po6+vD09MTdnZ2YLPZ5HzxeFzO+97YiHKJBZ7yVnFxcca4y+XCxMQELBYLtre3\n",
       "4fV6s8qnVqsxPj4Ov9//Jp5eaJ+fn9+0FRYWAnj9BlBUVCTHVSqV/ANwOkmSIAgCkskkysrK5N8W\n",
       "sh0bUS5xiYb+CunLL4+Pj6ipqQHw+g+Zr7zW4XBga2sLt7e3cqyyshInJydIJpPY2Nj48sw6mUxi\n",
       "fX0dALC6ugqz2QyNRoPa2loEAgG5D6klHaLfhQWe8taPa+Op516vFzabDUajERUVFXL8vetmp8cL\n",
       "CgowNjb2psD7/X5YLBa0t7fLHxzv9SGTkpIS7O3tobGxEaFQCFNTUwCAlZUVLC4uoqWlBaIoYnNz\n",
       "89NcRLnEi40RESkUZ/BERArFAk9EpFAs8ERECsUCT0SkUCzwREQKxQJPRKRQ/wI1m2ddedbqygAA\n",
       "AABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17b02518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(1,len(P['sg / du / tr / qu / pl'])+1), P['sg / du / tr / qu / pl'], '-', linewidth=2)\n",
    "plt.title('Singular / dual / trial / quadral plural distinction')\n",
    "plt.xlabel('Trial Number')\n",
    "plt.suptitle('Proportion of 100 learners who label all 15 items correctly')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A prediction is that the typology of number systems should roughly correspond to how learnable each type of number system is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x17e436d8>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAh4AAAEdCAYAAABDv255AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4FOX6v+/dzab3ECAJhIRQQgkEkNCrVBvIERQEKaIi\n",
       "do8Hf6BSRMXK0SOIyvcI2FABj6IHEIUTgdAEQZASakhIAdJJstndZOf3x+xsT4GEFHzv68qVnZl3\n",
       "Zt4pu/OZ532KSpIkCYFAIBAIBII6QF3fHRAIBAKBQPDXQQgPgUAgEAgEdYYQHgKBQCAQCOoMITwE\n",
       "AoFAIBDUGUJ4CAQCgUAgqDOE8BAIBAKBQFBnCOEhENQCGo2Gbt26ERcXx4QJE9DpdHW6/9dee81u\n",
       "ul+/fjd0fydPniQ+Pp4ePXpw/vx5u2UvvPACkZGR+Pn52c3X6/Xce++9tG3blt69e3PhwgXLsjVr\n",
       "1tCuXTvatWvHp59+6nKf06ZNY8OGDbV/MPXEwoULeeedd657/aioKHJzcytt4+vre0P7tHr1ap54\n",
       "4olK192xYwfdu3dHq9U6XT/le9OtWzfGjh3rch8LFixg+/btALz77rt1/t2qLxyPtTrXu7EghIdA\n",
       "UAt4e3tz6NAhjh49iru7Ox9++KHd8rKyshu2b5PJxJIlS+zmJSUl3bD9AXz33XeMHz+egwcPEh0d\n",
       "bbdszJgx7N+/32mdf//734SEhHD69GmeeeYZnn/+eQByc3N5+eWX2b9/P/v372fRokXk5+c7ra9S\n",
       "qVCpVDXue3l5eY3WlySJ2kh/VNNjqc7617qPmrSvaN1WrVqxZs0aJk2a5LRM+d4cOnSI7777zuX6\n",
       "ixYtYujQoQC89957lJSUXFMf6wPH7/v1fP8dj7U27v2GghAeAkEtM2DAAM6cOcOvv/7KgAEDGDNm\n",
       "DJ07d0av1zN9+nS6dOlC9+7dSUxMBOS3xjFjxjBkyBDatWvHyy+/bNnW0qVLiYuLIy4ujvfeew+A\n",
       "lJQU2rdvz9SpU+ncuTMzZ85Ep9PRrVs3pkyZAljfdCVJ4h//+AdxcXF06dKFb775BoDExEQGDx7M\n",
       "+PHj6dChA5MnT3Z5LIcPH6Z379507dqVcePGkZ+fz6ZNm3jvvfdYsWKF5YFgS0JCAs2bN3eav3Hj\n",
       "RqZOnQrA3/72N7Zt2wbATz/9xIgRIwgMDCQwMJDhw4ezZcsWl/1RHvgHDx5k8ODB3HLLLYwaNYqs\n",
       "rCwAVq5cSUJCAvHx8dxzzz2WN8Zp06Yxa9YsevfuzZw5c5g+fTpPPvkk/fr1IyYmxu5N/K233iIh\n",
       "IYGuXbuycOFCp3MeFxdHWloa06ZNs5zXd999166f5eXltG7dGoD8/Hw0Gg27du0CYODAgZw5cwaA\n",
       "48ePM2TIEGJiYnj//fct67u67pVx9913c8stt9C5c2dWrlxpt+zZZ5+lc+fODBs2jOzsbADOnj3L\n",
       "6NGjueWWWxg4cCDJycmVbv+HH36gd+/edO/eneHDh3P58uUq+6TQqlUr4uLiUKuv73GjWLref/99\n",
       "MjIyGDJkCLfeeisAW7dupW/fvvTo0YMJEyZQXFwMyNaBefPm0a1bN2655RZ+//13RowYQZs2bfjo\n",
       "o48AyMzMZODAgRZLpXJ9bPntt9/o168f8fHx9OrVi+LiYkpLSyv8Ht91113ceuutDBs2jDVr1lim\n",
       "hw8fTklJCTNmzKBXr150796djRs3AvK98txzzxEXF0fXrl1ZtmyZy2MF+f5fsGCB3T3xwgsv8K9/\n",
       "/eu6zm29IQkEghrj6+srSZIkGY1G6a677pI+/PBDKTExUfLx8ZFSUlIkSZKkt99+W3rwwQclSZKk\n",
       "kydPSpGRkVJpaam0atUqKSwsTMrNzZV0Op3UuXNn6cCBA9KBAwekuLg4qaSkRCoqKpI6deokHTp0\n",
       "SDp//rykVqulffv2Oe3fcXr9+vXS8OHDJZPJJF26dEmKjIyUMjMzpf/9739SQECAlJ6eLplMJqlP\n",
       "nz7Srl27nI4rLi5O2rFjhyRJkjR//nzp6aefliRJkhYuXCi988471TonCp07d5bS09Mt0zExMVJ2\n",
       "drb09ttvS6+88opl/uLFi6W3337baXvTpk2TNmzYIBkMBqlPnz5Sdna2JEmS9NVXX0kzZsyQJEmS\n",
       "cnJyLO1ffPFF6f3335ckSZKmTp0q3XnnnZLJZLJsa8KECZIkSdLx48elNm3aSJIkST/99JP08MMP\n",
       "S5IkSeXl5dIdd9wh7dixw+mcHzhwQBo+fLhlX/n5+U79HTVqlHTs2DHphx9+kHr27Cm9+uqrUmlp\n",
       "qRQdHS1JkiQtWLBA6tu3r2QwGKTs7GwpJCREKisrq/C6OxIVFWU53tzcXEmSJKmkpETq3LmzZVql\n",
       "UklffvmlJEmS9PLLL0uPP/64JEmSNHToUOn06dOSJEnS3r17paFDh0qSJF9XV+c+Ly/P8nnlypXS\n",
       "3//+d0mSJGnVqlWWbVa0rsK0adOk9evX281zc3OTunfvLvXu3Vv67rvvKlxvw4YNTsd85coVaeDA\n",
       "gVJJSYkkSZL0+uuvSy+//LKl3YcffihJkiQ988wzUlxcnFRUVCRduXJFatasmSRJ8vfx1VdflSRJ\n",
       "kkwmk3T16lW7/er1eql169bSgQMHJEmSpKtXr0plZWWVfo9btGhhOVeO03PnzpU+//xzy/ls166d\n",
       "VFxcLH3wwQfS+PHjpfLyckmSrNfS9lhtp1NSUqTu3btLkiTfozExMZZ1Ggtu9S18BIKbAcXiAPIb\n",
       "7YwZM0hKSiIhIYFWrVoB8vDHk08+CUD79u1p1aoVp06dQqVSMWLECIKCggAYN24cu3btQqVSMW7c\n",
       "OLy8vCzzd+7cyV133UWrVq1ISEiosl+7du1i0qRJqFQqmjZtyqBBg/jtt9/w9/cnISGB8PBwAOLj\n",
       "40lJSbHzDSkoKKCgoIABAwYAMHXqVMaPHw/U3nDDtSJJEsnJyRw7doxhw4YB8hujchxHjx7lxRdf\n",
       "pKCggKKiIkaNGgXIZurx48fbmasVn4IOHTpw6dIlQH6D3rp1q+VaFhcXc+bMGVq2bGl3zmNiYjh3\n",
       "7hxPPvkkt99+OyNGjHDq64ABA9ixYwfnz59n7ty5rFy5kkGDBtGzZ09Ln+644w60Wi0hISE0bdqU\n",
       "rKwsdu3a5fK6x8fHV3he3nvvPctQRVpaGqdPnyYhIQG1Ws29994LwOTJkxk3bhzFxcXs3r3bci0B\n",
       "DAZDpec9LS2NCRMmkJWVhcFgsFhzakpqaiphYWGcP3+eoUOHEhcXV+1t7927l+PHj9O3b19APgbl\n",
       "M8Bdd90FQFxcHMXFxfj4+ODj44OHhweFhYUkJCQwY8YMjEYjY8eOpWvXrnbbT05OJiwsjB49egBW\n",
       "K2Jl3+Phw4cTGBgI4DS9detWfvjhB95++21A9nlKTU1l27ZtPProoxaLkPI7UBGtWrUiJCSEw4cP\n",
       "k5WVRffu3atcp6EhhIdAUAt4eXlx6NAhp/k+Pj5209V5WEuSZHlA2ra3ne+43YpQqVRO+1S24eHh\n",
       "YZmn0WiqHIe23c71jDdHRESQmppKeHg4ZWVlFBQUEBISQkREhMVcDfJDztUQji2dOnVi9+7dTvOn\n",
       "TZvGxo0biYuLY82aNXbb9fb2tmvr7u5u+Wx7bHPnzuXhhx+2a5uSkmJ3zgMDAzly5Ahbtmzhww8/\n",
       "5JtvvuHf//633ToDBw7kgw8+IDMzk5dffpm33nqLxMREBg4c6LIPyjVwvGa2190ViYmJbNu2jb17\n",
       "9+Lp6cmQIUMoLS11aqdsx2QyERQU5PJ+rYgnnniC5557jjvuuINff/3VMgR1rTgeR1hYGADR0dEM\n",
       "HjyYQ4cOXZOoGT58OF9++aXLZcr9rVar7c6zWq2mrKyMAQMGsHPnTn788UemTZvGs88+axmqrIqK\n",
       "vseO30vH6W+//Za2bdtWe3sVMXPmTFatWsWlS5eYMWPGNa3bEBA+HgJBHTFgwAC++OILAE6dOkVq\n",
       "aiqxsbFIksTPP/9MXl4eOp2O77//nv79+zNgwAC+++47dDodxcXFfPfddwwYMMDlj5RWq3UpHAYM\n",
       "GMDXX3+NyWTiypUr7Nixg4SEhGr90AUEBBAUFGQZ+/7ss88YPHgwcO0/lCC/ga5ZswaA9evXW8au\n",
       "R4wYwdatW8nPzycvL4+ff/6ZkSNHutyGSqWiffv2XLlyhb179wJgNBo5fvw4AEVFRTRv3hyj0cjn\n",
       "n39+zQJp5MiRfPLJJxZfgfT0dK5cueLULicnh7KyMsaNG8fixYv5/fffndokJCSwe/duNBoNHh4e\n",
       "dO3alY8++shOeLg6voque0UUFhYSFBSEp6cnJ0+etJwXkB2P161bB8CXX37JgAED8PPzIzo6mvXr\n",
       "1wPytTxy5Eil56WwsNBiVVq9erXLNlXdE45Wsvz8fPR6PQDZ2dkkJSXRqVOnSrfh5+dHYWEhAL16\n",
       "9SIpKYmzZ88CsnXq9OnT1e5XamoqoaGhzJw5k5kzZzoJsfbt25OZmcmBAwcAuHr1KuXl5ZV+jyvb\n",
       "78iRI+18MZT9DR8+nI8++sji9JyXl+d0rI7cfffdbNmyhQMHDlT4XWnICIuHQFALuHrAOUZhzJ49\n",
       "m0cffZQuXbrg5ubGmjVr0Gq1qFQqEhIS+Nvf/sbFixeZMmUK3bt3B+Q3eMW8/9BDD9G1a1dSUlKc\n",
       "9vfwww/TpUsXevTowWeffWZZfvfdd7Nnzx66du2KSqXirbfeomnTppw4ccJpG66OYc2aNcyaNYuS\n",
       "khJiYmJYtWqVy2OzZc6cOaxduxadTkfLli156KGHmD9/Pg8++CBTpkyhbdu2hISE8NVXXwEQHBzM\n",
       "Sy+9ZBmCWLBggcU87QqtVsv69et58sknKSgooKysjGeeeYaOHTuyePFievXqRWhoKL169aKoqKjC\n",
       "43MVkTF8+HBOnDhBnz59APnHXxEwtu3T09OZPn06JpMJgNdff92pn+7u7kRGRtK7d29AtoB8/fXX\n",
       "xMXFVdgngG7durm87o4o644aNYoPP/yQjh070r59e0vfQX7j3r9/P6+88grNmjXj66+/BuCLL77g\n",
       "0Ucf5ZVXXsFoNDJx4kS6dOlSYZ8WLlzI+PHjCQoKYujQoZZQaNvzUtE98dtvvzFu3Djy8vL48ccf\n",
       "WbhwIUePHuX48ePMmjULtVqNyWRi7ty5xMbGOq1vy8MPP8yoUaOIiIhg27ZtrF69mokTJ1oEzKuv\n",
       "vupkUXDsl/I5MTGRt956C61Wi5+fn1MYt7u7O19//TVPPPEEOp0Ob29vfvnll0q/x477sZ1+6aWX\n",
       "ePrpp+nSpQsmk4nWrVuzceNGZs6cyalTp+jSpQtarZaHH36Y2bNnOx2rLVqtlqFDhxIUFNQoo11U\n",
       "Un0M1AoEAgurV6/m4MGDdlENAoFAUBEmk4kePXqwfv16YmJi6rs714wYahEI6pnayk8hEAhufo4f\n",
       "P07btm0ZNmxYoxQdICweAoFAIBAI6hBh8RAIBAKBQFBnCOEhEAgEAoGgzhDCQyAQCAQCQZ0hhIdA\n",
       "IBAIBII6QwgPgUAgEAgEdYYQHgKBQCAQCOoMITwEAoFAIBDUGUJ4CAQCgUAgqDOE8BA0OmbMmEGz\n",
       "Zs3sal448uSTT9K2bVu6du16TVU4BQKBQHBjEcJD0OiYPn06W7ZsqXD5pk2bOHPmDKdPn+bjjz/m\n",
       "0UcfrcPeCQQCgaAyhPAQNDoGDBhAUFBQhcs3btzI1KlTAbl0dn5+PpcuXaqr7gkEAoGgEoTwENx0\n",
       "pKen07JlS8t0ixYtuHjxYj32SCAQCAQKbvXdAYHgRuBY+9BV9VdREVYgEAiuj5rUlxXCQ3DTERER\n",
       "QVpammX64sWLREREuGzbkIozl5WBVit/PnMGxo2DTp1g3TooKYGQELh6FTIzoXnz2t33woULWbhw\n",
       "YZXtHt/0OLoyHT5aH4oMRXwy5hN2p+1m8reTOfTIIXzdfRm0ehDpV9Px0HiQnJPstI1Zt8zi6z+/\n",
       "Jq80z2lZqHcoLw58kae2PAVA0dwifNx9uFJ8haZvN8Vd447+Rb2lvWqRs3iUFtTsmjqei1yjkb6H\n",
       "DuGv0fBydDSPnTqFj0aDCjhSXGxp90NcHHPPnSM9Lw/fwkIICSHNQdw2BS6bP5fPns2ib7/l5aws\n",
       "AgwGwo1GTvj4MGPTJv791lsAPPLss3x85518s3Ah43/9VV5xyRL45z/lGyY317rxkSPhp5+s082b\n",
       "yzfL8uXw+OPQuzfs3SsvW7kSvvsO/vtfGDoUtm2r+Fx89BFkZUFqKiiWxHXrYMIE5xV+/BHuuAMm\n",
       "TYIvvqjiTNuwb5/cv0r6Ut9U9ztSW5x88CTaJlpi3ogB4NSjp1BpVbT9V1tyf84leUYyCckJaLw1\n",
       "5O/M5/h9x2kytgntlrfj2D3HuLLhCgARj0Vwed1lYv8dCxo4ettRu/14tfXCv5c/lz6/RMzbMUhl\n",
       "Emlvp6Hx1xA0LIjMjzMBULmpaPmPlqQuSWUIQ2p0bEJ4CG467rrrLpYtW8Z9993H3r17CQwMpFmz\n",
       "ZvXdrSopKrJ+fvVVOHJE/mvXThYku3fD/v21LzquheW/Lbeb/mTMJyxMXMj5/PPsTN1Jz/CeJKUl\n",
       "uVy3uW9zsoqy+PDAh0QGRJJXmseJx06w88JO+kf2Jyktib4t+xLuF86Fggt0bdYVH3cfAEJ9Qlk9\n",
       "ZjXxzePttnnokUPsT99Pdkk2od6hdA/rXuvH/ENODsklJQBMPH6c/LIyy7KmWi3zo6J4/PRpnj1z\n",
       "htM6Hbi7M+LIER4ICOCnu+4ip6yML8w+Rv/csIHmSUno3N1RnzjBrNRUCr//nv5HjxJUVMR3/frx\n",
       "+HffWbb/+scfE52Zydhdu6wdeu01WYE6ooiOdevg+efhwgUwGGDFCnn+smVw6BAkJ8O990KPHhAd\n",
       "DZMnV34Ctm+HXbusogNg7FhZADVtCm3bQk4OBAdDv37wxhswfXr1TzBAQgIsXQrjx1/bejcxWZ9k\n",
       "AViER8aHGQC0/Vdbzj1/Dv1FPSUnSvDr4Ufez3kYMgxkrMgg5s0YSpJLULmpkMokMj7OQDJK5P+a\n",
       "T3lxudN+dKd1uAXKUqD8ajmZn2TiFuiG7oyOS59ZfeOkMonLX152Wv96EMJD0OiYOHEiv/76K9nZ\n",
       "2bRs2ZJFixZhNBoBeOSRR7jtttvYtGkTbdq0wcfHh1WrVtVzjytn1y75eTB2rHXen39aP7drJ//v\n",
       "3Fn+a0h8f/J7fj73MwCXii6Ro8tx2c7TzZO7Y+9mxQH5IZhakMozvZ8htkkssU1iAegQ2sHS/p0R\n",
       "7zhtY2r8VKd58c3jncTI9bIqM5MwDw/LtNFk4vlz59hXWGiZp3WwYKzt2JGhQUHsKyzkMxsH5nZp\n",
       "adx27Bi3/f3vLE1LswiPSSkp8sU2E5aWxj8/+MAyPdQh9DuoqIj/t3atfUddiQ5/f1D6effdsols\n",
       "6lS4/XY4dkx+qPfoIf8pdOsG779f6TkBoEMH+c8WrRb+3/9z3X7OnKq36YhKBc88c+3rNSJMBhPn\n",
       "5p4j8vlI3Ju6V9rWlUCwRe0lu2cWHy/myror6M7p5AUS5G7NRXdaR8idIWT/JxvJKFsA9Rl6CnYW\n",
       "oPHXUF5ov/2SE7KwTlmUAkD7/2tP2ttplJwswTPKk9KUUgBKL5TiFuQGzsbKa0IID0GjY63jD7EL\n",
       "li1bVgc9qR0GDJD/33qrdd5vv1k/d6/9l3gnBg8efF3rjf3aqpbO5J2hXUg7u+Webp7c2+leZnSb\n",
       "QbhfOJ8c+gR9uTxU0sS7yXX390awMCWFeF9fnjGfi+35+fzT7JQ8MjiYn3JzuWIWuPc2bYpJkhgQ\n",
       "EADAnSEhdsKjfVoamKdDzONnWpUK3B0eOImJ1s8qFYweLYuIr76qvLM//wzvvitv7z//gYcegqQk\n",
       "2XKg0cCQIdC3L1y5Iv+/997rOifXe1/cjNT0XGR/l83FpRcpyysj9pPYStvqTuvspst1VqFgMprQ\n",
       "eGsAOPnASUAeBgm6NYj8xHyyN2Rj0psIHhFMzn9zkAyy8Mjflo/hkoGIxyJIX54OQKsXW3HxXxft\n",
       "hIhbgBtNxjah5GQJJSdL8G7vTfDIYDI+ki0u2hBtjYWHiGoRCBoIGRmu599xx43fd208YE7lnLJY\n",
       "PKbHy6Z2tUrN6rGrGdhqIG2C23Dy8ZOW9iFeITXeZ025ZDDwS14ekiSRaTCgM5ks5yLLYLC062cw\n",
       "EOwmv6f18ffnq44d+aZTJ7Rq+Sd0RHAwbjbWkLbp6XD6NPznP4SYt+OhUslCwJZNm6yfBw2SfS7W\n",
       "rnXtP2HLkCGyP0WI+RzGxMCePfDee/J0y5ayEDl8WP4fHn6NZ0ZGCA8r1TkXhiwDedudn8qGywau\n",
       "rJOvvUpdsVP7lfVXKC8up+RUiWWeVC6R8YH1xyHvlzx0Z+2FiVQm4dPZB8/WnmT/kA2AdwdvvNp4\n",
       "WftwyQAqCJsZJvfDTUX04mi823nbbeuWP25BG6Il5E753nIPd6fdh+0IHBQIgLaJtsrzUBVCeAgE\n",
       "DYRTp+yn/f3Bx8feOt6Q+S39N7JL5B+99iHtAVBh/yPb0t/qJxDiXf/C4/ajRxn+xx+k6fUYJQmd\n",
       "yWRZdqrE+uPfbt062nnLP9CKBcOWADc37gkNtYiP2PR00Oth3DhCnngCAPerV53VpeIcqtHAtGnW\n",
       "+Z6e8v/+/V13XCO/8Vr8M4YOrcbRCm40F/91kSOjjyCV2zs4/3nXn1xZLwsPjZ/G5bpFR4s4Nv4Y\n",
       "yQ8mo0+1OlAXHSni7HNnLdNHbztK6flSp/W92nnh3d7bYr3waudlERXuzWVLm3+CPz5xst9U9KvR\n",
       "cjsbceLRwgPPVvK9F9A3AO9Yb/wT/AEs61XU/2tBCA+BoIHwyy/20++8Izucquv5W1puKifjakaV\n",
       "EUBphWkWHw7HIRcFjVpjsXQEewXXbkevg6Nmj94dBQUAlJRbTc6ndNa3yvaZmbQ3C48mLoQHyP4e\n",
       "xkGDkMaMwb9tW8v8kN9/B8BDp5OFxzPPQHGx1RfC21t2Ap1q48Oi9OP+++HgwYoPYNAgkCRo3756\n",
       "ByyoNYw5RrshEABjthHJIGG8YrTOyzNSuM/qJ6T4Z4A8bGLIki1iujPy/Zb9Xbadj0fuZpvIpUrw\n",
       "bu+NVztZRGh8NLg3d7dM+/XwAyDkzhBUGhWDpcFEzokEwCNC9mvyS/CjT1ofy/ZUbioSTiQQPku2\n",
       "lgWPkr+vxX9aI7muFyE8BIJ6RvFn/M9/7Oeb3Qfqna/+/IqYf8Vwqbji7K8BHnJnf8+UH7KRAfKP\n",
       "moSzWHmqlxwq28yn/iON/MzDJ4n5+QB2Fo8/bMKM2ly+TDsv+UfclcXDDp0Ouna1TDYxi5q7du+W\n",
       "l7VuLYsNxWu4XTtndalEzvj5QWCg/bIRI6p1bIIbS1KTJP4Y9ofdvLJ8+brpM6wWi6Rg+ygvU4mN\n",
       "Ve2RU+wO241Jb0J3ShYeJr0Jw2XrMN/5F85Xqz9e7bzwjfMFwDvWG5VKhV83P1BD0PAgUEGTMc5+\n",
       "Ve5hZr8jk9MiOwKHyvdhQN+a/zAJ4SEQ1DN+fq7nOz5v6oszuWcoLSvlxJUTFbYJ8grih4k/WKYr\n",
       "cxx9ceCLHJt9jE5NO9VqP68HH/MDXxEeJWbhcUan47ROx5uBgZy5/358S0osFo8Qt0p88svLwWiE\n",
       "Vq0ss4KvXuXM/ffzfkSEbNZ66CF5gWKlaOfCOqQID63WXoGePy/n3xDUK+VFskWicHeh3fyyAvm6\n",
       "GTIMTutY2ly1hmNnrZJDZo05RkqSrUN7xX84WxW67exW4TbV3mo8Ijxoen9Tum7vSufv5fC30Amh\n",
       "JBxPIOLxCBKOJ+DT2cdpXfdwWXiUX608kkbjpaF3Sm9i11TuGFsdhPAQCOqB5s3hlVfkNArZ2a7b\n",
       "NBSLh+Iweib3TIVtogKjuKOd1QtW8d9wNeSiUqnoGNqxlnt5fRSahzTOmodVSsrLyTYaabtvHwB/\n",
       "KyoiJiMDDAaL8Ah1jEwB2LpVzvamOI96edktjsnIQHvPPXLokmLiUgSHq2ESxRk0KMh6I7RqBVFR\n",
       "TtsW3Bh2h+3m3NxzLpcpwyIAB285yNk5sg9GeYF8P+kzZYuHZHK2+GV9ksXJB0/azdsTsYesVVkW\n",
       "x82iw0VO6/n39Segn+sfBe923qjUKtRaNUFDgizDJyq1Cu/23qg0KrxjvV2u6xEut1XEVGV4tvJE\n",
       "4yN8PASCRofBIEdavvQSpKTI8zq5ePlvcMIjz7XwGBI1hG/u+QaAAw8dYOf0nfi6+7J+/Ho237+5\n",
       "zvp5rZSUl9slAwN5qOV3c56MB8PCaJ0pZ23EaKSTtzdrYmOZEBrqvLHff4fjx2HjRnnay0vOxrlu\n",
       "nbVNiIMzbdOm8PXX8Nhjztt7/XVYtQqGDQM3N9nKkeQ6MZvgxmDIMpD6eqrLZYp1Qhuq5erBq6S9\n",
       "JWdKVoZaFIuHYgEB2QdD7SE/crM+yXLpM9V8anNQyXk8vNp40X6lVZSq1Co6f98ZrxhZeKo91UQt\n",
       "iiLuxzjarXDtU1UdlKEWW0vMjUYID4GgjsnKcp7nKs3CjR5qOZx1mCc3P+nyB/D/fv8/Pjn0CQA5\n",
       "JbLwOJ1z2uV2ZnSbQaiP/DDuEd6D/pFyJMbfOv6N5r71mGa1AorKy3ngxAl+L3J+qywqL2fkkSMA\n",
       "vBIdLaccBzAaUalUPNC8Of7KUMtHH8Gnn8qflaReitDw9JRzaowZY924j7OZmwkTwFVWXW9vOcpF\n",
       "CdEdMwYqSPsvuDYMVwyceOBEpW/4tt+JlMUp5P5k7+CphLsqybkULEMtmQbKCss4Otqanty/nz9+\n",
       "vazjqsZsI46Ejg+1RJWovdSW0FcFbYiW8NmyNcy/tz9R86MIuT0E/97+FR9wFSjCQyqru/IRlSYQ\n",
       "Cw4OJi+vhplCBIJqEBQURG5u9by3Gzuu8nX4+cnW+n37ZEsI3HiLx9A1Q8krzWPh4IVOESYfH/yY\n",
       "0rJSZnSbYbF4nM51LTz83CtwUmmg7C4o4LNLlywCorWnJ+dKncMTm2m11otldH5IMGuW/P+BB6zC\n",
       "QwlNUoZDbB1RRVHCBkHqklQufXYJ326+tHympcs2toIi7Y00QseHEjzS+h0xpJstGvlWK0F5Ubmd\n",
       "c2nGRxnjyUIVAAAgAElEQVSWaBb35u5EvxzNn2OtKYkvr7VPP97k7ib49fTDo6UHpSmlliRh7Ve2\n",
       "R+VhvXeUcFbHkN3rxc3PjcjnI2lyd90l9KtUeOSZE+sIBDeav1Kl2IqEx/Dh8p8iPJRUDjcKXZk8\n",
       "Tm37HU9KTcJN7UaxsZhzeecwSSaLxaMiHw8/j8YlPJQw2RPmAm8dvL1dCg+VSmUvPBITZUHRq5fz\n",
       "Rh2tJzf64gmuGyWctSKLR86POZa8FyAPe9gKDJCdQR0p/rMYU6nsnGzIMHB1nzW1fefvOuMR4WHn\n",
       "wJn2VhoaH40ldLbTuk6o1CrcAtzs+ulo9dD41q7wAGj9euta21Z1EEMtAkEdo1jvK2LRImjT5sb3\n",
       "o7RMftgaTdYf0f6r+tP7370pNhRTWlZKWkGaJSmY0n7R4EV4unkS5BkEgK+7743vbC2iJAY7af4f\n",
       "e9m58NW8SDkc2HaohVmzYOZMedomxweSJFs8mja1zrN1AL3vPrl+iqBBoDy4XQkPSZI4eudRDva0\n",
       "z51i66sBrodJrh6yCg19pp6C3QWWaW2IbPmy9aMwXDYQ/qg1o6xKI798KQXb1N6uH89ufvLyuhwa\n",
       "qW2E8BAI6oBz56wvxa4sHrYvzPPny9m26wpjufwjapKsgfzFRtkasPXsVq4a7IuS3R93P7oXdIT5\n",
       "yW9iHhoPGgpXy8pIcbBeXCgttTqR/vmnpdJshjmVeVODfehjCw8PXm1tfgNULlZJCZw9K1fvS0mx\n",
       "V485ObLwiIqyzrMVHmvXwrff1vTQBNeBMc+I/qIeY56R0jT5vlCiMlwJD8fiaQpOwsPG4qFylwVD\n",
       "yUn5vvKM8sSQYcCQab2vlGgVxeLR52IfBukHEfNWjNO+FIuHMtTiiCVzaNVBKA0WITwEgjogJkYO\n",
       "UAD71OjRctZiunSp+z4pKBaP1AKrB3+xQRYeD//4MAAt/FtYlvl7yI5skzpPAhpWsbehf/xB9N69\n",
       "dvOi9u6Vw2N37IC4OE5dsk+E1tf8f9Q5OXTS2zaZlyIwsrOtuTV+/NFePWZmysLDNiGLGGppEOyN\n",
       "2suelnvY33Y/eyPl+0KpleIqb4Vt4i9bKhtq8YzyROWmouSYLDy8O1jDVtWe8r2k8ZfFQtP7ZKuY\n",
       "tql9EjpLEi9AEyC3tc1waosinGpzqKWuEcKjhixcuJApU6bUdzcEDRjlhXrfPtliv3WrddmkSfJz\n",
       "a8iQ+ukbWC0ep3Ksikjx/wAYEDmA5/o8Z5lWhMa8AfPI+nsWEf4NJ9rigNnJU/FbMZn/ZxuN6M+d\n",
       "Q+fuzgUbh0810FetJnPcOB43lwT2Uuqg6HTg6Fzv7i4LD1uLx/nzzsJD5NpoECgWDFuhYDLIlj1X\n",
       "Fo+KEn8p+TlAvrfKcqxCxM3fDfcwd64elO89v+7W+6D7nu70u9LPInbaLm9Lvyv9UGutj97+Bf3p\n",
       "ddrqN6QMtbhI+gvIqcxBCI+bgj179tCvX79rXu+v5BQpuD4KrEO97N0LhYXWvB1ubnIysfpEsXhU\n",
       "FC47NnasxeLhpnaz3PMqlYpmvvWf9twVBhvBofB5YCDeP/2EpFLRwpzEy8/NDbXRSPO8PLzMQzTe\n",
       "hw7B7bdDqtkCZJt/Y9Ik+N//IDnZOm/MGDkxi7B4NHhMRhMmvWvhUXS4yCkFuoIxx0iiKhFJkkgK\n",
       "ScKkN1kEgMZPg3uYu8Uq4pdgvQ+8Y73tqrmqtWqn6q5u/m52SbmUoRZFIDmiWEQqSgjWGBDCw8x/\n",
       "//tfbr/99mteT0T9CKrCVniY64XRvbv8v7Ls23WFYvHIL813ubxdSDvC/WQnuMYSOltszkiaaeO/\n",
       "8aW39Yd6dLAcGllUXi5XkQXKzOnSvQsL5XL1P/8sN7Y1Rw0fLpuwPv5Yzjh6333y/MuXwddXLikM\n",
       "wuLRQCnLLUPSy7/ZjkMthXsLXa1iR8mxEsryZIGhZAdVe6kt2T9RQfDoYGJXxRL3Y5xlqOVaUISH\n",
       "ZHD9bPGK9qLLli60/3fjLQzYqIXHG2+8QYsWLfD39yc2Npbt27cDoNPpmDp1KsHBwXTs2JE333yT\n",
       "li1dx2srbN68mdtuu81pfkpKCmq1mpUrVxIREUF4eDjvvPPODTkewc3F6tXw1FOQb/M837xZzg2l\n",
       "+HZ4N4CXll/O/cKEdROcnEgVYoJiaOojj023DKj8e9RQUIRHht46Zr/XRuXdYbZilEsSmC0dZWYr\n",
       "Rkih+QH0xBNyWnPFPKXVQocO8ue0NLjzTpg3z7pTPz9QomEE9YburI4jtx/BmOccefJ7r98t1WCL\n",
       "/ijijxF/YMyV21XnJTJ7o019A/PTU61VW+qduDd1R61V03xac0JuD3GxhapRrB8VWTwAgkcGW6Jb\n",
       "GiM16vnTT8PhwzXrQHw8vPvuta+XnJzM8uXLOXDgAM2bNyc1NZUys/PXokWLSE1N5fz58xQVFTF6\n",
       "9OhKh0QyMzO5dOkS8fHxFbZJTEzkzJkznD17lqFDhxIfH8+tt9567R0X/GWYPl3+f9dd1nk7d8rP\n",
       "sueekyujKzmo6pM5v8jl2ad0mYJapbZEt7x+6+sUGYto36Q9KlS8NPAlpsVPq8eeVp9is/VCsXg0\n",
       "0enINlshFu7cSY8+1vLfivAY8dtvzFm7lue+/tq6bMkSOGEujufmBjbl7rnzTvu4Zz8/+OEHOdW5\n",
       "TZE4Qd2S8WEGuZtySX8/3WlZ6YVSsj6VUwebdCbyfs7j8trLRDwWYfHb8OnkQ/Ex16Xfr6y/glc7\n",
       "L0JuD0HbRMv5F86jclPhGy+HlLsSO9eKSmv24TDevNb0Rmvx0Gg06PV6jh07htFoJDIyktbmELh1\n",
       "69Yxb948AgICiIiI4KmnnqpUzW7atInRo0dXur8FCxbg5eVF586dmT59OmvXrq3V4xHcvNgOtZSU\n",
       "yBZ6Pz94++36s3i4+j7k6HJo7tscH62c2juuWRyLhyxGrVKjUql4ecjLtA6q20RD18sL586RYzTy\n",
       "7Fm5eNcgcxRKcEEBC7ZvJ9y20NsTTwDgZjLxxscfE6pcsLZtYdw4a/ZRjUYeTgkPl4u39e0rD6ko\n",
       "vh2+vnJI7aJFIktpPaLk6bj6m2sLnklnb0m49MUlio4UYcwxovHVEP1KdIXbLjpURLOJzWiztA3u\n",
       "zeR7SOWmslg3KhoeuRaU8Nza2FZDpUYWj+uxVNQWbdq04d1332XhwoUcO3aMkSNHsnTpUsLCwsjI\n",
       "yLAbWmnRokUlW5KFx+TJkyttY7u9yMhIjh49WklrgcCKUrBUwTbdQ32hJAOzJVeXi4/WBx+tD6dz\n",
       "T1sESGPk2+xsfrt6lYKyMnqeOEFCTg4bYmIwqdVgMKBSqbhv2zZuSU62WDycUASFrfAAmDxZrrui\n",
       "DN089BCsXw89e97YgxJUCyV/RtER51o8rijcU8iBrgdoNqUZ2hCtXWgrgHdHb0qOW0vWB/SXaxko\n",
       "lgmVVoVHuAdNJzYlcGDNCyz53eKHZ7RnpQKosdNoLR4AEydOZOfOnVy4cAGVSsXzzz8PQFhYGGlp\n",
       "aZZ2tp8dMRqN7Nixg+HDh1e6r9TUVLvPEaJgk6CapDoUuGzSANJeuPLnyCnJwcfdx+JI6uPeeIUH\n",
       "QJpeT1M3N/Y+9hi3m5On5Pv5yc6k//sfa195hb//9FPFG3AUHorQeOMNOcubwjvvwIULcB1RcYLa\n",
       "RylJr091nZOjwvUu6nELccOrrb1jsG+cLx0+72CZVsJdlXBWJbql45cdCZ8VTk1x83Oj97neFoFz\n",
       "M9JohcepU6fYvn07er0eDw8PPD090ZjfSCZMmMCSJUvIz88nPT2dZcuWVejjsWvXLrp06YKvb+Vp\n",
       "n1955RV0Oh3Hjh1j9erV3OuqnKhA4IILF+ynG4LwuJB/wWleji4HH62PJSNpY7R4aBy+57f7+qKW\n",
       "JDqa827ck5gIBw/C0KFyg8pimWfMkP87WjwEDZqKcnFURf7/8tE20aINtg931TbR2qUvtxRpK7MX\n",
       "HoLq02iFh16vZ+7cuYSGhhIWFkZ2djZLliwBYP78+bRo0YLo6GhGjBjB+PHjcXd3d7md6obRDho0\n",
       "iDZt2jBs2DD+8Y9/MMychlKlUolcHoJKuXDBGmUJ9mkh6ov/nv6v07xcXW6jtXiUSxIGkwk3h+/i\n",
       "nWYrhcpgQPef//DV4sX2KzqWpD94UA5DKi6Wq86Cs8VDcEOQJMlSZM1pvr7iCA9HbFOV2zKgZAAR\n",
       "j8mWao+WrtP8KzVVbHELcUPjZRWdliJtQnhcN432mxQXF8e+fftcLvP29ubTTz+1TK9YsaLCcNrN\n",
       "mzezYcOGKvc3Y8YMZioFomxYsGBBNXss+Kty/jwEBsqJw6BhCI9fzv1CkGcQeaX2mTl9tD5EB0aj\n",
       "UWkI8Gg8pt57jx9nw5UrdunOPdVqhpvDajEY8CwqApPDA8zR4tG5s5yd1BZh8agT0t5O49ycc/TL\n",
       "7mcnADJWZHD6sdP0udjHkjujIiRJwpBlwKuNF7ozOrtlGi8NbsHyI8+9mTv6NOehGMXaoQ3RWrKd\n",
       "akNcWzw8W8pJ4nw6NR6B3lBotBaPysjKyiIpKQmTyURycjJLly7lbhfVIY1GI1OnTiU2NrYeein4\n",
       "q5Cebs3bAQ1DeFwqvkS7kHZO833cfXiw24PsfnA3AZ6NR3hsMHvw2lo89nTvjm+xOSzSYJBToAcH\n",
       "g81LiZ3w+P13Z9EB1nnC4nFDyfxYHg5zLDl/+Uu5erDunM5pHUdMpSakcgnPaNeZYy3JuYwStxy+\n",
       "xWm5khW054mellLx2hCtXcE2xeIRckcI8b/GE/5Yzf06/mrclMLDYDAwa9Ys/P39ufXWWxk7diyz\n",
       "Z892aqfVapkzZ06V2xNDKYKa0t4myWBDEB4FpQWE+oQ6zffR+uCl9SIhIqEeelVzbH084n195SET\n",
       "kIVHSQm0aAG2tZVshUe3bq43KiwedUJ5sWydUqJFrgVJkvi93+9krZJzdHi0cG0ZsaQjLzXh29XZ\n",
       "r09JyuUe6o5fT9m5WNtEa1ewTam7AhA4MFA8H66Dm1LC12a4a1RUFOXljbj+sKDeUKutlv12NsaF\n",
       "oKD66Y+CJEnkl+a7rCrbmPw6XFHs+F0tModUGo2yxcMxcYqjj4crhPCoExThofhOWKjGc92kM1G4\n",
       "u5DC3fJ4ZkU+HEpEiuJL0uNAD4oOFZH8kJy1VrFmAAT0CyD61WgCBwdWWLVWcH3clBYPgaC+WbrU\n",
       "3p3A1uJR38+v0rJSjCYjod6uLR4NnuJia+pXBwy2idE++ECuuQJyUbetW51rqFSnQp8QHnWCqVj+\n",
       "wpSeL+X8i+eRTOZrWY08WopoUVD8LxxRhlLKdXJ7vx5+NJ9mvQcU/w0AtYeaVvNaofZQ2zmXCmrO\n",
       "TWnxEAjqE0mCv//dOt2nD/TuDV98Afv311+/FAr0cmbORis83n9fzp0RFAQvvOCyyeeRkfbF3RQu\n",
       "X7afvhaLh/DxuKEoeTGOjT9GeWE5ofeEWlKRA1BJYIsiWhTcQtxo9kAzvFp7kbIwxTo/wN7iAfZR\n",
       "KbbCwxZb51JBzRFnUyCoZWzqkrF4MezeLefumDSpfrP9AhzOOsxv6b8BNN6hFmVMPd91Nd1XVSru\n",
       "r0jhHTtmPx3qLL6cEMKjTikvNFsvHIZYlNol5bpycn7MAaD4eDEX371IxocZdm01Xho6rOlAkzH2\n",
       "97jjUIsjFQoPL/GorE3EN0kgqGV0Ns73HpVH/9U53T6yOlC6ci71da88kV6DwMcsjlwMtQB4LF9u\n",
       "nzjFlkcftZ+uInEgYBUcYqilTlEsIApKLo/zc89z8b2LdNvdjQsvXyB3S67TuoqFQuVhr16qKjlv\n",
       "6+Nhtz2tEB61iTibAkEtU2It64Cn66HmBkGQp7OXa4hXAwi5qQrFT6Mi4WE0wrffOi+IjZX9Pmzx\n",
       "qYaFR/EbERaPOsWkM1FeVE55kWwBUcrEl6bKtXX0aXpKTpa4TPqlWCjUHvaPOEV4VERjLjXfmBDC\n",
       "4zqIiopi27Ztdb7fhQsXMsU2FFDQILG1eDQk4aEz2udBCPR0LmgV4t0IhIe51L0iPIwOScE8jEbI\n",
       "y3Ncyz6i5dZbzY3NJqmASnKWKJEywuJRp5h0JnYF7aLoDzkySdLLAlAZDjFeMVJ6oRS/BD+ndZW8\n",
       "G2p3+0ec2lOeDhzkuphbRUMtCl5tvCpdLqgeQniY2bNnD/2qWeSppmnSr2VfjvsVNHxsLR4Naagl\n",
       "syjTbtpVgrBGYfFQqsmaT3SRQwith9HouIZ5gc3F2LgRzp6V/UUuXoRz5yreX1mZ/F8IjxuG47AK\n",
       "gD5Dbxdaq1g8FKtE4f5CkLDk27CloqEWgF7nehH33ziX/ahMePS+0JseB3pUchSC6iKEh5nq1myp\n",
       "z31JUjXiygT1TkMdasm4au+A5yolemOweJwAVP/7H99GRqJKTCQ4KcluuYehgiJhtkMl3t7QWs5M\n",
       "SUSEnNG0IhRLSYsW19/pm5iMjzPY6bvTGv5aCWUFZSSqEsnemG03/9Sjp5za5vyQYzctGSROTj9J\n",
       "+vJ0AAp+laOz/Hs6+/Mo4a+OQy0AXtFeaHxcC4yKfDwAPCM9qxyqEVSPRi083njjDVq0aIG/vz+x\n",
       "sbFs374dAJ1Ox9SpUwkODqZjx468+eabFdZqUdi8eTO33Xaby2WfffYZrVq1okmTJrz22mt2y6ZN\n",
       "m8ZLL71kmU5MTLzufaWkpKBWq1m5ciURERGEh4fzzjvvVLotQcOjoQ61ZF61t3j4eTi/Kbry+2ho\n",
       "fGd2HP3bffe5XF6hxeN6fTR69YJPPoEVK65v/Zuc04+dpry4nPKrVSdaLD4uD4+lvpZqN7/keIlT\n",
       "25IT9vNMehNZq7Ms06UXZMuXd6xDUjisFg9XwqMyHIdmBDeGGsm3p7c8zeGswzXqQHzzeN4dde0x\n",
       "hsnJySxfvpwDBw7QvHlzUlNTKTObRBctWkRqairnz5+nqKiI0aNHVzpMkZmZyaVLl4iPj3dadvz4\n",
       "cWbPns3mzZtJSEhg7ty5XLx40bL8WoddKtuXQmJiImfOnOHs2bMMHTqU+Ph4blXGpAUAbNmyhaef\n",
       "fpry8nJmzpzJ888/b7c8OzubyZMnk5WVRVlZGc899xzTpk27oX3auFEuCNemjXVeQzBSHcg4wKrD\n",
       "q/jk0CeWeR2adHDZVqNu+MMJIRU4lSrUuvBQqWD69Otb96+A+eevrKCsSouAEhKrpEWXyiXOPH2G\n",
       "4mPFuIe521WW1V+0zxaqDLU44t7cub6O4lyqchfD0w2RRivvNBoNer2eY8eOYTQaiYyMpLXZdLpu\n",
       "3TrmzZtHQEAAERERPPXUU5UOU2zatInRo0e7XLZ+/XruvPNO+vfvj7u7O4sXL0attj9t1zIEUtm+\n",
       "FBYsWICXlxedO3dm+vTprF27ttrb/ytQXl7O448/zpYtWzh+/Dhr167lxIkTdm2WLVtGt27dOHz4\n",
       "MImJifz973+3CNMbxZgx8PTT9hYPxR2hPhnz1Rg++O0DSstK6dCkA1O6TGHjxI313a3rxl9XebGw\n",
       "gIpy0gsfjRuD+eevrKDq75eSP0NJ2lV0pIj0ZemU5ZfZFWJztT1XuTdUGhVqH+fHmBL+qlKpiHw+\n",
       "km5JFdThMdNlcxeiX42utI2g9qiRxeN6LBW1RZs2bXj33XdZuHAhx44dY+TIkSxdupSwsDAyMjLs\n",
       "hjtaVDE2u2nTJiZPnuxyWWZmpt363t7ehNSgyldl+1Kw7Xtt1p25Wdi/fz9t2rQhKioKgPvuu4/v\n",
       "v/+eDh2sb/FhYWEcOXIEgMLCQkJCQnCro3BIWx8PfQMo8aBVW8MNf5j4AzHBMfXYm2vAYIDPPpOt\n",
       "DTZi3+hCQP5f+/bMTJbrbYRXNNQpwmFvKGX51utSsLsAjbfGPvMoVjGhCA9TiVVMVJUd1NYaoqAJ\n",
       "0FRpcVaqzFZG8KhggkdV4ucjqFUa9Tdx4sSJTJw4katXr/LII4/w/PPP8+mnnxIWFkZaWpql3H1a\n",
       "WlqF2zAajezYsYM1a9a4XB4WFmb3Nl1SUkJOjtXpycfHhxKbJ01WVhYVUdW+FFJTU2lvLu6RmppK\n",
       "REREpe3/aqSnpzsJy3379tm1eeihhxg6dCjh4eFcvXqVb775xuW2Fi5caPk8ePBgBg8eXOP+2dwe\n",
       "DBpU483VmBDvEC4UXAAgKjDKZZthrYfh5+7s81GvLF0Kc+fKgmHqVMtsvcn5zbeFTcRKmKPFw81N\n",
       "jkwRwuOGUl5g9fE41O8QAIOlwS7bKEMt5SXWdRwtHo6UpjibD938xTWtCxITE0lMTKy17TXaq3bq\n",
       "1CkuXrxIv3798PDwwNPT0zLkMWHCBJYsWULPnj0pLi5m2bJlFariXbt20aVLF3wryGB4zz330KtX\n",
       "L5KSkujZsyfz58/HZPPDFx8fzzvvvMOLL76IXq/n3UpyYle1L4VXXnmFjz/+mHPnzrF69Wq++OKL\n",
       "qk7HX4rq+NS89tprxMfHk5iYyNmzZxk+fDh//PEHfn72D1db4VFbKC5A+fmVp4eoK7y1Vue7inw4\n",
       "fp7yc111p/ooCu7SJbvZehfVoiNshIeHkhQsIAAKCsDdXQiPOqA6Qy22Fo+rh65SuKfQsqwqi4cr\n",
       "4SGoGxxfyhYtWlSj7TVaHw+9Xs/cuXMJDQ0lLCyM7OxslixZAsD8+fNp0aIF0dHRjBgxgvHjx+Pu\n",
       "7uyABFWHtnbs2JHly5czadIkwsPDCQ4OtnvbnjJlCl27diUqKopRo0Zx3333VfhgrG4Y7aBBg2jT\n",
       "pg3Dhg3jH//4B8OGDQNqnj/kZiEiIsLOipWWluY0nLZ7927Gjx8PQExMDNHR0SSbTfE3GkV4OBZC\n",
       "rS/ydHIyrYqsHbbCpEGhfGcdnEX1Lnyqmtp+LxSBoXXIaCmEx41BcS7Nr4bwMLcx5hg52P0gKQtS\n",
       "LMtcWjxsLmvxn85OxUqeD8XB1COiASXOEVRIo/0mxsXFOZnXFby9vfn0008t0ytWrKgwxHXz5s1s\n",
       "2LCh0n098MADPPDAA5bpefPmWT57eHjw1Vdf2bV/+umnr3tfADNmzGDmzJlO8xcsWFDlun8Fbrnl\n",
       "Fk6fPk1KSgrh4eF8/fXXTg64sbGx/PLLL/Tr149Lly6RnJxscT6+0aSlyX6Mjs+9+iJHl8M9He9h\n",
       "1ZhVTssK/l8BalUDff9QTqBDXg5XQy3Bv/1mnVD8QRTLiNJeOJfeGK7BuVRpU3rW2XrhyuLh0dID\n",
       "faresh+Vm8ouqZjyudfpXkhlEiqtyhI5I2i4NNBfnJqRlZVFUlISJpOJ5ORkli5dyt133+3Uzmg0\n",
       "MnXqVIsvyI2kLvd1s+Pm5sayZcsYOXIkHTt25N5776VDhw589NFHfPTRR4AsDg8cOEDXrl0ZNmwY\n",
       "b775JsGVJYmqRVJT5ZxTDcE4JUkSOSU5xATFuCwA5+/h33ALwykWjy1b5JN5+jTMno3ehc+W248/\n",
       "WicchYeotXLDMBlNloe/IipshYGCPl1PoiqRS5/Jw2aGSy4cRV1YPDxb2ifCaTalGWAVKcq+NL4a\n",
       "3ALd0PhoLBVoBQ2Xm/IKGQwGZs2axfnz5wkMDGTixInMnj3bqZ1Wq2XOnDl10qfq7ksMpVSP0aNH\n",
       "O4UlP/LII5bPTZo04YcffqjTPvn4yOVD0tOhadM63XWFXDVcxWgyNo5U6I4olgqlxP2RI7BiBXoH\n",
       "a2BifDzMmkVSdjYtVqwAxfqhDNEowkNYPGodSwl7rMMoZVedLR9Xvr1i18YVriwegUMDKUgqsEwH\n",
       "9A+g6b1NcQty4/dev7sUOYKGz00pPBprCGpUVBTlLhznBI0DRXhA/ft3LP51MWF+Yey9uBdoHKnQ\n",
       "nXDI1/FoaSm39+6N3mEMa9CVK5CcTN/HHpNTxSrpYj095W14e8vDNfV9UW5CbIWE8tlVBtP8/+VX\n",
       "uS1XFo+goUFcWHzBMu0R7kHwyGCMubKorMohVdAwuSmFh0BQH9j6PDZvXn/9AJifOB+A6EA5KdLw\n",
       "1sPrszvXh02Y+pnwcD6MiODzl17iga1b7dspwyx33in/nzlTLgA3bx689pr8f8kSED5StU55sVVk\n",
       "GK/IYsBWeEjlEiqNymVKdEeUbKMA4Y+G49/H36lom3uYPPzmFuRG1KIoQu8JrUn3BfWEEB4CQQ3Z\n",
       "vx+uXLFPFmZOw1LvFOoLmd1zNi0DKq8f1CCxER4/9O0LwC3JyU4WD559Fjp3BnNCOby8QAlrV/7/\n",
       "8583uLN/TZQEYBpfDYZMA5IkkfJyimV58sxkmk1phj7DOZOe2lttn0DM0yo8mt3fjIB+AZbaLgru\n",
       "4bLwUKlURM2PqsUjEdQlQngIBDWkVy/5v23V9Xbt6qcvjuSX5rusQtsosBlqOWQugNM8Nxd9s2bO\n",
       "bR99tK56JbBBSQDmFeOF7ryOwr2FXPnmimV51uosSk6W2FlBPKM9KT1fijZES/DkYDI/losXKknF\n",
       "wCpCbMUIgDakgYSKCWqEGCATCGoJW4uHq2djfVAulTcu4XH5Mpwyl0i3sXhkmyOS0ps25YhjOtgh\n",
       "Q8CF87jgxmPSyRYLzxhPygvLKct1dh4tOWk/zOLbTY6i0vhpaP9Rezxbyz45tpVhLUXeNPbO9iq1\n",
       "cL6/GRDCQyCoRbqZa1ElJNRvP2wJ9Ays7y5UnzZtrONUNhaPHLPw2BkXxxHH6rTPPFNXvRM4YGvx\n",
       "ACg+5pzkS3E6DRws34dBQ+SU9t5t7RPXubJ42Fk4hOa4aRDC4zqIiopi27Zt9d2NWkOtVnPu3Ln6\n",
       "7sZNwaRJUFgIXbrUd0+sBHg2IovH1avyf5NJtnj07QslJeT4+1e8juJUKqgVJJPkMkxVkiRMRvvk\n",
       "bYrFwyI8jjoLD4W277dlwNUBhD8WTq9zvej4dUfAmkLAtoS9YvHQ+GoYUDyAgfqBDNQNrMFRCRoS\n",
       "QniY2bNnD/369atW25qmLq9oXykpKajVartaMNfCyJEj+eWXX667X4Ka4+EBfvVca01ySCneaCwe\n",
       "tv3OyZGFh58feHmRU0V9I0HtkfxgMr9qf3Waf+bJM+xw32F3fynOoRbh4SKtuYJHCw80vnI1Wa9o\n",
       "L35c+8sAACAASURBVNQe9o8fpZQ92Pt2aLw1qN3VTu0FjRdxJc1Ut45KXezL8cFhS0V5PoqLizl4\n",
       "8CCDGkI51L8wHg2gVITRZF/bpNH4eGRk2H825+AokyTyRQ6OOiNrtVxh2/F3KH1ZOmC1cgCU6+Tf\n",
       "I49I+cZX/DnaLmtrt67aU40moIIEbuZ3OFuLh8ZLJHu7mWnUwuONN96gRYsW+Pv7Exsby/bt2wHQ\n",
       "6XRMnTqV4OBgOnbsyJtvvllhrRaFzZs3c9ttt7lc9tlnn9GqVSuaNGnCa6+9Zrds2rRpvPTSS5bp\n",
       "xMTE697XwIGyKTEwMBB/f3/27t3L6tWr6devH88++yxNmjSpsCrgtm3b6N+/P1oXBUKmTZvGrFmz\n",
       "GDFiBP7+/gwePJjU1NRK+yi4PhqC8NCX2YcuNhqLh+JUChAfD0ePgpcXuQ5F4gR1Q0U1T2xrsigW\n",
       "D6U4m6nUhEcLD/x62pv93MPdq7QS2/p4qDyEQ8fNTM3CaZ9+Gg4frlkP4uOtsfbXQHJyMsuXL+fA\n",
       "gQM0b96c1NRUysrkL8SiRYtITU3l/PnzFBUVMXr06Epv+szMTC5dukR8fLzTsuPHjzN79mw2b95M\n",
       "QkICc+fO5aJSfpRrH3apbF87d+4kOjqagoIC1OZ6EydPnmT//v1MmjSJy5cvYzA41zgA2LRpU6VW\n",
       "lC+//JJNmzaRkJDAnDlzuP/++9m5c2e1+y2oHg1BeBjK7e+RRuPjkZvrPC8vjxyz8PAsK6NU1Fup\n",
       "M0ylJrtIE4Wy/DI8wuQbvbykHJVGhdpbjVuAG2UFZWhDtPj19CP6tWg0PhrOPHXG0t4l5p9P232J\n",
       "0hE3N43W4qHRaNDr9Rw7dgyj0UhkZKSl+ui6deuYN28eAQEBRERE8NRTT1U6fLFp0yanuh8K69ev\n",
       "584776R///64u7uzePFiiyhQqGzb17KvirYTHh7OY489hlqtxtPT02Wbyiw2AHfccYflGF599VX2\n",
       "7NlDenp6tfstcI2jDmwIwkNfbm/xaDRDLQ4p0gHYv58c8wtFi/p2nvmLYTukAlgEQnlBuV0btZca\n",
       "lUqFW4gsCt1C3FCpVLSa28ri+6Ek/qoMW4uH4OamZq8P12GpqC3atGnDu+++y8KFCzl27BgjR45k\n",
       "6dKlhIWFkZGRYTfc0aJFi0q3tWnTJiZPnuxyWWZmpt363t7ehIRcf92LyvZVEVUN3Rw9etQislyh\n",
       "UqnsjsHHx4fg4GAyMjIqXEdQPUocMkE3BOGhWDzu7XQvKpUKb613FWs0EErNpdJvvRUefxzWrYP7\n",
       "7rMMtYS7u3PGlTgR1BqKzwbIFg9bVGoVUrlkV5/FVGKy1EvRhmgpPVdqZ91wC5AfMR7h12bxENzc\n",
       "NOorPXHiRHbu3MmFCxdQqVQ8//zzAISFhZFmUzo7zUUZbQWj0ciOHTsYPtx1LQvHbZWUlJCTk2OZ\n",
       "9vHxocTm6ZOVlXXd+6rIvFiV2bGqYRZJkuyOoaioiNzcXMLDwyvdrqBqHFNK1KfwuFJ8hR0XdrDh\n",
       "+AYA7mp/F2v/trbhma137ZKjVhSSkiA722rx+OorGDuWPR98wOWRIykwWzyau1f91iyoGYZMqwnP\n",
       "yeJh9ve89MUlS1htua7c4giqFHnzam91BFZK1Cs1VipDWDz+OjRa4XHq1Cm2b9+OXq/Hw8MDT09P\n",
       "NOay1xMmTGDJkiXk5+eTnp7OsmXLKvzx3bVrF126dMG3gnC9e+65hx9//JGkpCQMBgPz58+3C3eN\n",
       "j49n06ZN5OXlkZWVxbuVWIGq2ldoaChqtZqzZ89W9zQA8jBLVRE5mzZtshzDSy+9RJ8+fYS1oxZo\n",
       "SMJj+vfTGbR6EM/9/BwA7poG+KA2mWDAABg50jrdvz8MH261eJiHE/seOkSv33+nwBzJ1cxGeMwM\n",
       "C6vTbv9V0KdZh+lsrR9gzSJ66fNLloqxthYPpWKsdzurhc2jhQdugW749ah4mMySx0MIj78MjVZ4\n",
       "6PV65s6dS2hoKGFhYWRnZ7NkyRIA5s+fT4sWLYiOjmbEiBGMHz8e9wrelqoKbe3YsSPLly9n0qRJ\n",
       "hIeHExwcbDf0MWXKFLp27UpUVBSjRo3ivvvuq1DkVLUvb29vXnjhBfr160dwcDD79u2r0nk1Pz+f\n",
       "48eP09dcRMsVKpWKSZMmsWjRIkJCQjh06BCff/653XLB9dGQhEehvtBu2kPTAMZ9HFGsGocOyf/z\n",
       "zeXS//jDuszTk3Kzv1NKaSn5ZotHoNmxdF5kJCsbShW+Rowx2zlaqOSU1XrraqjF0u54CVKZhD5d\n",
       "b0n2paRL92pnb/Hon9efoGFBVfZHDLX8dWi0LuJxcXHs27fP5TJvb28+/fRTy/SKFSsq9JPYvHkz\n",
       "GzZsqHRfDzzwAA888IBlet68eZbPHh4efPXVV3btn3766eve16JFi+xCZnv16sXUqVMrbL9161aG\n",
       "Dh3q5PDqSJMmTVixYoXLZRXlBhFUTUMSHm1D2rIz1Rqp1CAtHsqwpBKdkp0t//fxkS0ebm7g5kZJ\n",
       "mdWPoKCsDC+1Go1ZIKtthHKsdyPxX2lgFCQVcKj/ITpt6EToOGtpeV2y1YfGcahFMlmd36VyiXMv\n",
       "nKNwTyG+XWULbsDAAC6vveyUCr1KlDwewuLxl+GmlJhZWVkkJSVhMplITk5m6dKl3H333U7tjEYj\n",
       "U6dOJTY29ob36UbtKygoiGeqqFVxLVE3gmvDUXj4+NRPPwBKjCWobApaeLg1YIuHkm9G8fXw9paX\n",
       "mROFFdsMZxaUlRHg5obJfB8rAuRcr17s7d69bvp9k6E7K18H20qyULHFQyqT7IRIaUopuVvk8Oei\n",
       "P4oAaP9/7Uk4kYDG9/qSf6ncVPTN6kufjD7Xtb6g8XBTCg+DwcCsWbPw9/fn1ltvZezYscx2Ub1S\n",
       "q9UyZ86cOunTjdrX8OHD6aXUZa+AmqZ4F9gjSRAUBCtXNhzhMWj1IL768yu6Nu9qmdcoLB6K8FAs\n",
       "Hmb/jmIbK1y+WXgoc5QfrWgvLwJEXg8Arh66SqIqkdKU0mq11zaRhV/pBfv2ulM6vNrK4s+kM6FP\n",
       "1/Or+6/kJ+bbtSs6XETxEfubX+OtwTu2ZhYo92bulef8ENwU3JTf2sjISI4ePVrf3WgwrFq1qr67\n",
       "cFOh18uuCY88AqtX2y+rD+GRXpjOjgs75P1rrR1oVMLD0eJhIzwKysoIdGHxEFjJ/CgTgNwtuYTP\n",
       "qjpaTTLI59JWqJiMJnRndTQZ2wTdaR2mUhN5P+chGSUuvCo7k4aOD6XpvU05ds8xy3o9DvSozUMR\n",
       "/AW4KS0eAsGNRMngLUnWYqoK9eFy8N/T/7V89nG3Co8G7Vzq6ONx7BisWePS4lFQXk6ARoNi6Bc/\n",
       "Ws4o4a3V8ZPI/zWflMUpABiyDCTPTMaYY6Q0pRSpTLL4bJh0Jkv9FMURNXRcKKF/k/8AgkcHVxqx\n",
       "Ui2EjvzLcVNaPASCG4lttlJH4aGph9pWp3NPWz43WouHggsfj/yyMiI9PPhHy5aklpYyW4SBO6FY\n",
       "MKojPA4Pti9zkfnvTAKHBuLmL18Tn67yPWQqNVkcSpWqs15t7DORakOca0NdK53WdyLtnbQaD9MI\n",
       "Gg/i5UEguEYqEx51xa8pv3IqRy6qpjNaIxHsLB4N2bnUhfDYnJDAxaZNAddDLSFaLV927Cj8Olwg\n",
       "lVVfePx/9s47Poo6/eOf7bvplXQSIARCS1Q6CFFRBAVPsQAWVOyVU+/08FS4O0W907Nw5487UWyH\n",
       "iKjoSfEsEaSqdKIJgQRIhWx6ts/O74/ZmZ3Znd1skt0U8rxfL147fWaHzc5nP8/zfR45TMUmIbGU\n",
       "dzwYMwO70T3kVpusRcT53Dq+Eik/lLYrhI8Ix/DVw4U6IcS5D/0FE0QH6Q3Co+CdAgAA+wwLk909\n",
       "EqHPOR7V1cKq2S+8gKTmZtRAKjzq7XbEktjwC99JVqnpnBAwl5ihTdZCFaESRIXT4pT0ZYm/Ml6o\n",
       "5cH3ZeGdFoLoCOR4EEQHEXdp7ynhwVNYXoiaVneZfnFfll4tPEwmoKYGKC4GADhdCaO1UVEApMLD\n",
       "xrJI7Q1NcHoxTpsrNNXJUJ+p2ATGxEAVoYJCrYBCrYDT7JQUGYuf4+5RpdQppecliA5APyMIooN4\n",
       "Oh4qFdBTNdgueuciyTwL9y/QXp1cWl0NpKQISTF2D0dDnOMBACnUp8UvvOOBTn4OzSVmhI8MF0In\n",
       "SoMSTotTCLWoolSIvcRdfTR8NOesxUyL6fxFE/2Wc8rxuPXWW/HUU0/19GUEnYKCAqxevbqnL4Nw\n",
       "IRYera1AF5oVdwrG6fvp4nC6K372aseDh2GAyEhYNdIkxTYPJUeOh3944cGPbukoTBsD83Gz0OhN\n",
       "qVdyjofRjugLozH+1/FQhbvtlMjzIjGxfCJS7qaeOUTHOaeER1cLZdlsNiQmJkq6zfYGqABY78LT\n",
       "8ehu4dFmb/O5zuF0YFg818ekVwoPubb2+fmweToensKDHA+/8IKDTzLlad7TjEJFoTAqxR+tB1ol\n",
       "jgdjYmCrsUGXqpMt6qXP1NP3EtEpzinhAXStPPi2bdtw3nnnIYz6PxB+6HHhYfP9ELEzdnx/6/fY\n",
       "etPW3vlQ8BT1b7wBTJ4Mq4ewMFGopUPwjocQcnFRs4bL//GsPCqH0+zuNKtN1KJlTwssZRZETYwK\n",
       "8tUS/Z0uCY8lpaUoOHCgS/+WlJZ2+vz79+/H+eefj6ioKMyfPx8Wi7sK35o1a3DhhRdKtlcqlThx\n",
       "4oTP423atAmzZ8+WXZeVlYWXXnoJeXl5iImJwfz582G1ultI//vf/8bQoUMRHx+Pq666CtWibH2l\n",
       "UolVq1YhJycHsbGxeOCBB/y+r//9738YPnw4YmJi8OCDD0rE1LJly3DzzTcL8+Xl5VAqlXA6Kcmr\n",
       "u/AUHnFx3Xt+f46HSqlCUkQSLhtyWTdeUQcQC49Zs4B77gGcTonjccpiwasVFZLdDD1RIKUPIQgP\n",
       "D8fD0cCF3k6uOIm6L+p87s87HXyoRZuqhamY+78SJ5USRDDos46HzWbDb37zGyxatAgNDQ247rrr\n",
       "sGHDhi79ytu8ebPPtvUKhQLr16/H1q1bUVZWhkOHDmGNq172t99+i6VLl2L9+vWorq5GZmYm5s+f\n",
       "L9n/yy+/xE8//YRDhw7ho48+wtatW2XPU1dXh3nz5uG5556D0WjEkCFDsGPHDsl1ED1Lb3Q8Foxa\n",
       "gAfHP4hnL362ey+mo4hDLa5iYbDbYRPlePzkGiqkc3VcTiK3o118OR72ei451FZlw5G5R7wc4exX\n",
       "s5H3bZ5XXQ5tilZ4NQwxgCCCSZdGtbySnR2s6+gwu3fvhsPhwMMPPwwAmDdvHsaNG9fp4x0/fhwO\n",
       "hwNDhw71uc1DDz2E5ORkAMCcOXNw4ABXAfCDDz7A4sWLkZ+fDwBYsWIFYmNjcerUKQwcOBAA8MQT\n",
       "TyAqKgpRUVG46KKLcODAAcycOdPrHJs2bcKoUaNwzTXXAACWLFmCl156SVhPnWZ7HrHwMBpD73gU\n",
       "1xXjQM0B3DDqBgDyjkeMPgavzXottBfii4YGYO1a4N57AV/CeO9eoL5e6ni4yqPD4ZAkl7a48jvu\n",
       "T03FyxUVuCSGRk60hzjHo/VQKywnLEj4TQIc9Q7Jdp51N9IfSgcAqGO4RwHvePBCxDCYRAcRfPqs\n",
       "41FVVYU0j9LJmZmZnT6evzALDy86AMBgMKDN1ZqUdzl4wsPDER8fj8rKStl9w8LChH1HjhyJyMhI\n",
       "REVF4YcffkB1dTXS09Ml583IyOj0+yKCj1h4AMDkycCgQVy32lAw/B/DMX+D20GTczwMmh58QCxe\n",
       "DNx/P/Djj763mTCBC62cFbVhFzseolALLzyuHzAAA3U6PJOVFYKLPrfgBQVrZ/FT3k84cvURAG7H\n",
       "g4dpkx8RpYp2jWbxcDx4QUIQwaTPfqpSUlIkD3YAOHnyJLJdLkx4eLhkdEpNTQ38sWnTJixZsqRT\n",
       "15Kamory8nJhvq2tDUaj0UsYieGdi6NHj0qWnzhxAqdPn5ZsJ56PiIjo0Psigo9YeNx7L3DNNdy/\n",
       "UMOyLE40nMCpplOhP1lHqK3lXj0VmRyugmEA3MLD4ZAkl7Y4uF/peRERODlpUrCu8pzGZ46Hh+PR\n",
       "ur9Vdn9eYPDJpXyBMFUE5dYQwafPOh6TJ0+GWq3Ga6+9Brvdjk8++QQ/in5x5eXl4ejRozh48CAs\n",
       "FguWLVvm81gmkwk//vgjLrroIp/byMGLhwULFuDtt9/GwYMHYbVasXTpUkycOFEIs/jaT44rrrgC\n",
       "R48exaeffgqHw4HXXntNIi7y8/Oxbds2nD59Gk1NTVixYkWHrpnoOuLn6223dd957U47sl/Pxh1f\n",
       "3CEsm5wxGYD/2h4hh/88B5J/dEokmvhQy2WXeTkeaoUCOspnChg+1OK0SpPMHU1S4XFwxkHZ/dXR\n",
       "0lBL+BiuQFjitYlBvU6CAPqw8NBoNPjkk0+wZs0axMfH46OPPsK8efOE9Tk5OXj66acxY8YMDBs2\n",
       "DBdeeKHPxMxvv/0WkydPhrYDSWzi2hqXXHIJ/vznP2PevHlITU1FWVkZPvzwQ8m2vvb1JD4+HuvX\n",
       "r8cTTzyBhIQElJaWYurUqcL6GTNm4IYbbsCYMWMwbtw4zJkzhxJOuxleeBw5AnQhrSggGswNwrTF\n",
       "YZGsO3LvEdwwksv7YNheIDwCzT9KTeVeecfj+uth++ILYXULwyBCpaLPdQdgrdy9t5S7PyMdKWeu\n",
       "ipSGWiLPi8TUhqkkPIiQ0GdDLQBwwQUXYN++fT7XL126FEuXLhXmb7zxRtntNm/e3G5+R1lZmWT+\n",
       "mWeekczffffduPvuu2X3ZTyKIb399tt+zzVz5kwUiy1pD1auXImVK1cK83fccYfPbc9VtmzZgiVL\n",
       "loBhGNxxxx14/PHHvbYpLCzEb3/7W9jtdiQkJKCwsDAo5+aFh6uRakgprXcPNxd3oQWA1MhUqBTc\n",
       "A6NXOB4Wi/x6z3ryOTlAVZXb8QBgFU0b7XZE0vDZDsGYuXts+tUdhhX3WWkPpVYaYgEov4MIHfTJ\n",
       "Ahe+mDt3bk9fBhEgDMPggQcewNdff420tDSMGzcOc+fORW5urrBNY2Mj7r//fmzduhXp6emoq/Nd\n",
       "w6Cj8MKjO0Z5NlubhWmzQyo8wrXhUCu5P2FxqfRupz3h0dAgnR85EigslAgPm8gtOUPCo0OwThZO\n",
       "E+du8HU7AMBWHUDOjQuFlnOXPIfjEkQo6LOhlmBy5513IikpqacvgwiQvXv3Ijs7G1lZWdBoNJg/\n",
       "fz42btwo2eY///kP5s2bJ4wQSkhICNr5+e603SE8xC3vGy3u6pNqpRpalRbhWi4WL+5K2+3wosFs\n",
       "5tyNiy8Gtmxxrzca3dPi8Ikor8MqKoD3TUMDItX0myhQmFa3o+RocQsPa5VVbnNZlBrqNkt0H/TX\n",
       "TfQ5KisrJUOM09PTsWfPHsk2x44dg91ux0UXXYSWlhY8/PDDkoqvPOKk44KCAhQUFLR7/u50PMQu\n",
       "R725XpiO1EYCAOaPmo/S+lI8MumR0F+ML3jRYLFw7sZ33wG7drmLhfFu08yZwMsvA6+/zs2LxIXN\n",
       "o/JuuJJ+EwUK0+IWHmIRYqskx4MIDoWFhUELVQMkPIg+SCBJh3a7Hfv27cM333wDk8mESZMmYeLE\n",
       "iV4F4vyNdpKjrg54+mluujuiAWLHQyw8IrQRADjnY1nBstBfiD/EjkezKzRksQAffwxERwN8Z+W/\n",
       "/AUYMULI+Xg9Ph6XtLUhTafD4x6tDBodPRg66mP4Eh4l95YEfAw+x4OEByGH54+y5cuXd+l4JDyI\n",
       "PkdaWpqktsnp06dli64lJCTAYDDAYDBg2rRpOHjwoN/KtIHw2GNd2r3DiBNKJY6HLrJ7L8Qf4hyP\n",
       "RlEzsuuuk27HFwJjGNjUajyUlITIfftwW3IyztqliZDVgdQEIQBIxQY6GSlJujkJtR/UIu0B37WH\n",
       "CCJYkJ9J9DnGjh2LY8eOoby8HDabDevWrfNKDr7qqqvwww8/gGEYmEwm7NmzByNGjOjyua2Bh82D\n",
       "gtjx+ODwB8I0H2rpFYgdj6Ym39vxeTYMA2MU1/G0hWEknWhLxo8HQMIDACwnLWg72n47e3Fehz/G\n",
       "Ffke+61N0mLs/rHQZ+l9bkMQwYIcD6LPoVarsXLlSsycORMMw2Dx4sXIzc3FqlWrAHBDm4cPH47L\n",
       "L78cY8aMgVKpxJ133hkU4REe3uVDdAix8Nh2cpsw3WsdD1/C47nn3NMi4QEAKlHoLNM10uW3Hg5W\n",
       "f2R31m4AQAFb4Hc7cajFHyoDFxtMupFzNxKvoxodRM9AwqMTZGVlYfXq1bjkkkt6+lL6HEqlEqWl\n",
       "pRg8eHCXjjNr1izMmjVLssyzjspjjz2Gx4IYG7Fa3XmU3YXnEFqecE03KyBfWCxc8zeAczzEoRae\n",
       "jz4Crr3WPc8wMEZHC7NqkfDQKBRgpk+HkoqH+cV21gan2Qn9QL1beCjhFWqZXDMZO5N3cqsNSkx3\n",
       "TgcA5L6fC4LoKSjU4mLXrl2YMmVKQNv6qzzalXOVl5dDqVTC2cmn28yZM/H11193+rp667l6C3l5\n",
       "QDu134KO2PEQo1FpZJd3O7m5AJ9v48vxGDlSOow2P1/ieIhbCCgUChIdAbArbRd2Z+6GudQs5Hho\n",
       "4rw/E+JeK0q9ssvfXQQRDEh4uPjyyy9xxRVX9Ipz+evl4lkFlaetrQ0///wzpk+f3uXra4/uPFdv\n",
       "wk8x2ZBhdpihVHj/mfIVS3scUXNESY4HX9lXoQCGDJHu89hjqHvxRWG22cdnmpDHaXMKo08s5RbB\n",
       "8VDHehvYfAl0z2mC6En69CfxhRdeQHp6OqKiojB8+HB8++23AACz2YxFixYhLi4OI0aMwIsvvthu\n",
       "a3l/ZdPfe+89ZGZmIiEhAc+JY9UAbr31Vjz11FPCfGFhYafPNW3aNABATEwMoqKisHv3bqxZswZT\n",
       "pkzBI488goSEBJ/DmL755htMnToVGo33rx6j0Yi5c+ciOjoaEyZMwFNPPYULL7wQgLzLUlBQgNX8\n",
       "EMgOnuvWW2/FPffcg8suuwxRUVEoKCjAqVO9rJtqH8JkNyHOEOe1XKXsBcLDs1Lp99+7Bcfll3Ov\n",
       "WVmATifdTqmEMSVFmK23B17am5DmdNiNdiG5VK7EuULpdjcUGnI6iN5Bl3I8SpeUovWAfJvlQInI\n",
       "j0D2K9kd3q+4uBj/+Mc/8NNPPyE5ORmnTp2CwzX2f/ny5Th16hTKysrQ2tqKWbNm+bUXq6urUVtb\n",
       "i/z8fK91RUVFuO+++7B582aMHz8ef/jDH1BRUSGs76h16e9c27dvx6BBg9DU1ASlq4DSr7/+ir17\n",
       "92LhwoU4c+YMbD6y/Tdt2uTTRbn//vsRFhaGmpoanDhxAjNnzvSbY9Hee/J3LoCrGrpp0yaMHz8e\n",
       "v//973HjjTdi+/btPrfvi3z1Vfecx2w3I84QhzqTtOR7r3A8jh+Xzostofh47nXYMNldjaI6Hae6\n",
       "e6hQH8dTeDAtDFQRKqEWhy8oxEL0Fvqs46FSqWC1WnH06FHY7XYMHDhQeJiuX78eS5cuRXR0NNLS\n",
       "0vDwww/7DV9s2rTJK1GR5+OPP8acOXMwdepUaLVa/PnPfxZEAY+/Y3fkXL6Ok5qaivvvvx9KpRJ6\n",
       "vfxwN18uCsMw+OSTT/CnP/0JBoMBI0eOxKJFizp0zYGei+fKK68U7tezzz6LXbt2obKystPn6w2I\n",
       "b9fQocCll3bPeU12E6J0UV7Lu93xWLcOEHVcBuA/9sQPnc3JkV1tFLkcx83yCbQEx7EHjkna3YuH\n",
       "z7YdaUPF3yugCldBoeaEBV+FlCB6K11yPDrjVASL7OxsvPLKK1i2bBmOHj2KmTNn4uWXX0ZKSgqq\n",
       "qqq8Smr7Y9OmTbjppptk11VXV0v2DwsLQzz/a64T+DuXL9oL3Rw+fFgQWZ6cPXsWDodDcoyBAwd2\n",
       "6PyBngvgflWJ71d4eDji4uJQVVXlc5++gDhnsq390gpBw2Q3yfZh6XbHY/586SsAlLgqY153HfD5\n",
       "59ywn4IC4MorgZgY4M47pduLEFcmNTud0CuV+GNmZoguvm9T+Y9KRE2KQtKNXD8pseNR+0EtACDu\n",
       "8jhYKznnSB2llnSmHfX5KDTvbAZB9Bb6rOMBAAsWLMD27dtx8uRJKBQKoTV6SkqKV2VLX9jtdmzb\n",
       "tg2X+vgJ63ksk8kEo6jpVXh4OEwm98iDmpqaTp/LlxXankXqL/SRmJgItVotybMQT4e7ClME+h7a\n",
       "C7OwLCu5X62traivr0dqaqrf99Dbeest97RJfqBJ0ClvLMf3J7+HQW3wWsd3pe1RiouBlBRuuOzk\n",
       "yVwN+Q0bgEcf5ZJK//UvYNIk2V1bGAYRoprzd6Wk4EkSHj6xGzkh4bQ6Uf2vamE508xAoVZg2JvD\n",
       "BMdDHS39bCTMScDgFV0bvk4QwaTPCo+SkhJ8++23sFqt0Ol00Ov1ULm+yK6//nqsWLECjY2NqKys\n",
       "xMqVK30+vH/44QeMGTMGERERsuuvvfZa/Pe//8WOHTtgs9nw9NNPSxIx8/PzsWnTJjQ0NKCmpgav\n",
       "vPKKz2tu71yJiYlQKpU47hk7b4fNmzf7FAMqlQrXXHMNli1bBrPZjKKiIrz77rvC/UhMTERaWhre\n",
       "e+89MAyDt956y+/5/Z2LZ9OmTcL9euqppzBp0qQ+7Xa0tXHPUp4utikImMmrJwMA7E47kiOSJetu\n",
       "HuPd8K7bKSlxh1LOOw+YNw+I806ElaPF4cCwMLeTkyCTqEy4cTRyDtHJZ0+i5h3uh4FSx319G4YY\n",
       "oFArhORRVXQvyP8hCD/0WeFhtVrxhz/8AYmJiUhJSUFdXR1WrFgBAHj66aeRnp6OQYMG4bLLLsN1\n",
       "110HrY9Wou0NbR0xYgT+8Y9/YOHChUhNTUVcXJwkbHHzzTcjLy8PWVlZuPzyyzF//nyfIqe9c4WF\n",
       "heHJJ5/ElClTEBcXhz179rSb6NnY2IiioiJMnjzZ5zYrV65Ea2srkpOTcfvtt+O2226T5Hj8Y/ny\n",
       "ZQAAIABJREFU+9//xl//+lckJCSgqKjIZz2TQM6lUCiwcOFCLF++HPHx8di/fz/ef/99yfq+hrgm\n",
       "1q5dwEMPhf6cNsaG6lbul+32k9tR/Wg12GdY4d+UgYHVnAk6jY1cwbD6emDnTrfweOklLg8kQFoY\n",
       "BlmifKWhYd7hpP6ItcIq25q+7WgbnFYnbFXu5HK+vLlhGOeI8cLD0/EgiN5Gn/2Ejh492qsVOk9Y\n",
       "WBjeffddYf6NN97wmSexefNmbNiwwe+5brnlFtxyyy3C/NKlS4VpnU6HDz2S7pYsWdLpcy1fvlwy\n",
       "ZHbChAlYtGiRz+2/+uorXHzxxV4Jr2ISEhLwxRdfCPNr1qzBd999J8xffvnlOOHRHbSz5+LP98Yb\n",
       "b8iu81WHpDcjFh7Jyb63Cyb7qvcJ0xcNuqh7ThoIqalcvQ5eQI8Z06nDtDIMokShlhyDdzipv2Gv\n",
       "s2NXxi6kP5KO7Jek+XNnPzoLTbwGCp1buIeNCIOp2ISI0ZyDyodaVJHkeBC9mz7rePijpqYGO3bs\n",
       "gNPpRHFxMV5++WVcffXVXtvZ7XYsWrQIw4cPD/k1hepcsbGx+O1vfxvUY3blXF0ZLdNb4RNLV650\n",
       "N1gNNS3WFgDA+uvWY8P1/sVqt8KPQCkr427GXXd16jCeOR455HigfitXet50VD6JqPVAq6QuR86q\n",
       "HOQX5mPgk1yyuFLDfZ2rwkh4EL2bPut4+MNms+Gee+5BWVkZYmJisGDBAtx3331e22k0Gvz+97/v\n",
       "lmsK1bl8Jar6o7NlkwM517lYkpkXHuef333n5Hu0DIoZhAitfE5Qj1JUBDzwAOAjhAkAm4xGXHH4\n",
       "MKomTUKKqIgYy7JoYRhEioSHWIT0J+q+qMORuUcwuXayIDzCR8v34Ym8IFLI9QAATYIGMdNjhHk+\n",
       "1MLnfpDzQfRWzknhMXDgQBw+fLinL6PXsmjRIr/hm67wdnc3M+kG+FBLTIz/7YKJxcFVBTVoenEI\n",
       "QlR9VI5/VlUBAPa1tuIKkfCwOJ1gWBaRajV+GT8eZ30UxesPnH6RGwHWdrRNGLnC2llZ55B1sMI2\n",
       "gHe+VMT5EcAawHLagrz/5cGQ04s/O0S/5pwUHgQRTHjHQ9RQNeSY7ZzjoVfLF4zrFbQzRJqP4zpd\n",
       "D9HjZjMWFxdjpCusEqlSYXhYGIb34zALn0jKOliwDu4+Oa3uXiw8unQdnFanpD6HJ/FXxqP0oVKY\n",
       "i82InREbuosmiC5CwoMg2qEnhIfgeMjU8Og1tCM8+N/j/BiNXc3N+L6xEd+7LKT+Gl4Rw1o5geEw\n",
       "OgSx4bQ6wdqkwkOpU3LCw2iHOlqNQc8O8jqWYZABWc9kIfZSEh1E74aEB0G0Q1MToFYD3fnDnM/x\n",
       "6HHH44cfpC3txSQl+d2Vb2/POx4mjxFNkf1YeNgb7Di77qxQCt1utEuEh+eQWoVOAdbKwmF0IOmW\n",
       "JKTdL18XJ2tZVkivmyCCgV/hERsbe84lChK9k9jY3vsrrbGRczu680+BD7X0eI6Hq4uxhNmzgdJS\n",
       "rmmNH/hQCy83zE7pw7Q/C4/Sh0pR+36tMC8WHqyVlXU8zMfNcDQ5oM/sxeE3gggAv8Kjvr6+u66D\n",
       "IHotTU3dG2ZpsjThyNkjAACdStfO1j3A/PnAze1XTuUdjzaGwYHWVm/HQ917DVfGxMB6yoqw4aGx\n",
       "uez10lwNu9EOp50TZnKOh1KnRPNurt9K3OzAqsMSRG+l9/7lE0QvobkZiPJuEBsypr49FUfOHIFe\n",
       "re+djqOPkv+e8I7HU2VlOG21YrZHOfX4Xiw8im4ogvG/RkyzTmu33Xxn8Ky14ZXjYfd2PAAuyTRU\n",
       "YogguotzsoAYQQQTqxXQd6O7feRML3E7RB1kJURGBrQ773ictnJdU3/16K6X3YurlTZ83QAAwkiT\n",
       "YKMMk3712o12yagWrxwPV6t7TaKmd4pRgugAJDwIoh1sNr91skIGw/ZwefmGBvnlgQoPj/k2p1Mo\n",
       "k55jMPSJByjLdE54VLxegUJFoaTglwSRrtBn6gPK8QAAVXj/zYshzh16r9dJEL0EqzXgZ21wz+uw\n",
       "dv9JxRiN8ssDvBmerc7aGAaxajW+GD0ao8Llq3P2GlyaqLOOR8VLFQC4XA51jPfXrFiQhI8Kh+WU\n",
       "xe+oFhIexLkEOR4E0Q495XjYnb6LRXULvoRHAKLhb6dP48MzZyTLWhkGYSoVpsXEIE6jCcYVhpyO\n",
       "CI/yZeUoe6YMAOBo4YRFy94W7J+6H06LE6yDxcEZB9HwXQMcTW7hoYpUcWJDlFwqdjzU0WqhOZwy\n",
       "nL6yib4POR4E0Q42G6DrxnQLjVLT86ID8BYezz7L3YyBA9vd9XfHj8suN7TT2bi30SHhsbwcADBo\n",
       "+SAwzVyY7Nfbf4XT7ERbURu0KVo0fNOA1oOt0KZqodQrMfzd4TD+1wjWxso6HglXJ2Dwc4Nx6sVT\n",
       "AMjxIM4N+ta3AEEEmZdfBioq/G9jtXaf47HmwJreITo2bwbWrpUuy84Gli3rUkGTsHNMeFhOWXD6\n",
       "pdOSZcZNRmE/sXMhCAuzE45GBxKvT8SA6wYIVUn5fSwnLPj1ll8BABmPZSBseBiFWohzir71LUAQ\n",
       "QebRR4Hf/Mb/Nt0VamGcDG7beFvoTxQIs2cDH34oXRaE8IihjxUNa0941L5Xi+OPHZfU5Th8hbtB\n",
       "JZ+cyjpYOE2ci8GYGDBNjJD7odQqJY4HAFgrrMI6gHI8iHMLEh5Ev4fvxeILq7V7Qi2nmk6F/iT+\n",
       "aG0FduzwvT5A9bXTzw091xwPaxUnEJwWz1RaKY56B+q3uAoysoCjyQF1NCc8FFoFnDbv2h0AAJfO\n",
       "EFreU44HcQ5AOR4E0Q7d5XiUGEtCfxJ/3HQTsHEjcPas/PoAHA+L04kp+/f7XB92jjketmobgPaF\n",
       "xy+LfoH9jDSEZsjm6ph4hlrEaAdwHzzWya0jx4M4FyD5TBDt0F2OR7GxOPQn8ceuXdyr2Sy/PkDh\n",
       "4Y8+k1zKD6e1sWDafNdTsVUFJjw8RUf8FfFIviWZO5VWweWCiA6R9mAaptmmQZfGffB4URKKKqoE\n",
       "0d3Qp5gg2qG7HI/jDdKRIAOj2x89ElTsroejR4VRgQBugq0d4dHXQi2lD5die8R2r7oaPEKoxer/\n",
       "fXsSNcVdg5/P3wAApZ6bVkepodS4l/PCQ6Hu/UXXCKI9+ta3AEF0MyzLPY+7w/FosbYI05PSJ2Hf\n",
       "XftCf1IxfIn0tjb59QE4Htb2HI8+Fmpp/L4RAGRdD9bJwlbjcjzM0vcdPsp/rRPDYHe5eLGLwQsY\n",
       "VYTHfXKdnoQHcS5AwoMg/GDjnivd4nhYHBZhenTSaMSHxYf+pGLaEx6BOB6s/5yIvuZ48OyI24HG\n",
       "7Y3CfN3GOuxM2ikkhDKtUmESe1ms3+PxIRTA3YcFAOC6fZ7CgxwP4lyib34LEEQ30Z3Cw+xw51Zo\n",
       "VT1RKtUVagmC45Hq44aNCbCzbW/k5J9PCtO/3PIL7HXuvA1xJVIA0Cb6/v/L/GOmz1ALDwkP4lyG\n",
       "hAdBiKioAH73O4Bx/YB1NVYNeqjl5V0vY3fFbskysePRI8KjE44Hy7J4qqwMxa68EN7x+POgQbKH\n",
       "uCzWvxPQm1Go3A99pkXqcHg2g9Mk+hZpAx8fKGmQJ3E8XPgUHhoSHkTfh4QHQYi4/Xbgb38Ddu7k\n",
       "5kPleDz61aOYtHqSZJnZ7nY8dKpurNHuSQccjzq7HX85eRIzDh4E4E4uTdJqcUtSEl7Lzha2fSYr\n",
       "C1HqvjuCX+I2eESUmCapEPEnPJQG6deuOMcj88lMJFyVgLjZcZJtBj07CPFXxiPhqoQOXjVB9D5I\n",
       "eBB9ki1btmD48OEYOnQoXnjhBZ/b/fjjj1Cr1fjkk08COq7Y6Th4EHj+eW4+mI6Hk5VPwOxxx4Pn\n",
       "3Xfll8uoL4fL4aiz22FiGKExnE6pxDu5uZiXmAgAiNdosCwrKySXGwoUMmXhecdDboSLZ6hFE+9b\n",
       "eIidE0AaajEMM2DUZ6OgCpM6HvpMPUZ/Mdo76ZQg+iAkPIg+B8MweOCBB7BlyxYUFRVh7dq1+OWX\n",
       "X2S3e/zxx3H55ZeDbSfpkYd/ttpsXDn111+XLg8GJrv8cFVxjke3Ox7i0SjffCO/jcxN4Ot2WJxO\n",
       "3FtSgr+7Gt/oXA/uAa59lgbQWK7X43rmW09ZvVbxoZa4mZxToUsP/P9PHGqhHA6iP0DCg+hz7N27\n",
       "F9nZ2cjKyoJGo8H8+fOxceNGr+1ef/11XHvttUh0/eoOBP7ZarUCVVXu5cF0PNps8qEMseOhUXVz\n",
       "2/jW1va3iYz0WmQVCbqfRcfQukavqBUKsAUFeCQjo+vXGAQsJy0Bi1BPeKeCr90hhnc8Uu9PRQFb\n",
       "AHVs4CElSR0PDX0lE+c+9Ckn+hyVlZXIED3I0tPTUVlZ6bXNxo0bce+99wKQt87lEDse1dXey4NB\n",
       "m11eeIhzPDr7cOw0HvdPFhn1Ja5U2uhwhxt0vXDYrHGzEbuzdsO40dip/XnhwVcrFcMLD15EdKTC\n",
       "qMTxoORRoh/QdzO9iH5LICJiyZIleP7556FQKMCyrJ8H+TLU13Pd3gsKCqDTFQDgGsc1uss2BFd4\n",
       "BOB4+MoDCRlbtnRqN1/CQxug0OtOqt/klKS10tuxCAjXR8haze0/vmQ81DFq7BywUwi18JVHxQJi\n",
       "yN+GIHlRMnYkyjfgE4sUEh5Eb6SwsBCFhYVBOx4JD6LPkZaWhtOnTwvzp0+fRnp6umSbn3/+GfPn\n",
       "zwcA1NXVYfPmzdBoNJg7d67H0ZYhLo4THoA7r7KsTLpVUEMtLsfDM4FUnOPBsL77g4SELVuAESOA\n",
       "oqIO7SauVNrGuK+5Nzgepl9N2Ju7FxfsuwCR50WieWczAO/kzkBhzNz7s1XZoNQrYcg2QKFQQKFR\n",
       "CKNaBOEhOoc+Uw9Ngp9RLjoSHkTvpqCgAAUFBcL88uXLu3Q8Eh5En2Ps2LE4duwYysvLkZqainXr\n",
       "1mHt2rWSbU6cOCFM33bbbZgzZ46M6PCGdzZKS+WXBwPe8fASHqJQS7c7HrW1QHZ2h4WHr6ZwvcHx\n",
       "qP2gFgBQ92kdIs+LBGPixIFnlVFZZC7faeLeq7XKCm2KVnDelDqlO9SilykGFsllpV6w7wKh0qnk\n",
       "VJRcSvQzSHgQfQ61Wo2VK1di5syZYBgGixcvRm5uLlatWgUAuPvuuzt9bF5gfPyxdHmoHQ+H0yFx\n",
       "ObpNeLzxBhARwTWGCwvr8O4+hUcvcDz4JFBtMnefeRfC0eLwuY8/nGYnmn9sxpn/nEH0lGhhuUKl\n",
       "gKWcC5P5q0IaeZ53cq7nPpRcSvQHSHgQfZJZs2Zh1qxZkmW+BMfbb78d8HHFP9Sjo4GkJKCkBAhm\n",
       "bzM5x4N3O8I0YTDZTd0nPO67j3tNTwcMBuDtt4Hbbgt4d19N4XpDqMVWzSWBsgznMvAN2Dyrjsoi\n",
       "YzwwJgYNWxsAAMm3JQvLxTU8/DkePk9FyaVEP6Pnvx0Iohchyo/EO+8Aca4Ckr6KeXYGOceDTywN\n",
       "13BdTbs91MI7HrfeKr/eh/LqzaEWfvQJ08KAZVmhg2xAwkMGp9kJR4sDSp0SKYtTZLeRdTzaER6U\n",
       "XEr0N0h4EIQIu7vvF1JTAT6HKjc3eOfgHQ+N0p1wyCeW3pp/KwDghpE3BO+EgWA2u0MtYreCL3Gu\n",
       "18vu5kt49ArHo9YlPFoZsDZWGJUSUI6HCL4KKWNiwLQwPoWEJkEDdZy3iayO9G8sU3Ip0d+gUAtB\n",
       "iPAUHuPGAcEuqeHP8chPzgf7TDfX8AA44WEwcNNqtbtJjUbD2UA+hIevUIuqFzgefAiEaWHgtLiv\n",
       "U+x4MG0MrFVWhA31nd+Svy0flSsrcXb9WTCtvoXHlLNTZJd3KNRCyaVEP6Dnf5YQRC9CLDySkkJz\n",
       "Dl54iOuR8DkeerX8A75b4B0PcTM43vHwkV3ry/HoaZw2pyS0wk8D0uTSooVF2JuzV7b/Co9Sr4Qq\n",
       "TAWn2ck5Hh79UlThKtncDh657rOS44uaxmniurliLUH0AOR4EIQIsfAIRSNVlmWFUIudcZ+MdzwM\n",
       "akPwT+r7YqTzvOMhFh78Nh0MtfQ04oRPR4vDp+NRv6keAGA5YUHYcJHrIdIKSoMSyjClz1DL5NrJ\n",
       "fq+lvYJ3So0SkyomwWlzQpvUg80BCaKbIMeDIEQ4OjfSMiAe3PwgVH9Sod7MPeyO1R+DYjn3UOJd\n",
       "EIOmG4WHxSKd5x0PseLixxefd57sIazdXdo9AAoVhThy1RFhnmlhhOJfUEiFBy8iTMUejftEeop3\n",
       "PMACtrM2r5wNVbgKqvCuDXvSpelgGNSN//cE0YOQ8CAIEXY79/w9fDj4x165dyVYsHjv0HuS5Sa7\n",
       "CWUNXKnUgdHd2MXV5PGwlXM8Bg4EvvoKWLNG9hC9zfHgS+M372oWlolzPDSJGklyKR82MZVI7wXr\n",
       "cAsqlUEFdQwnNqynre3mbBAE4R8SHgQhwm4HRo4ERo0K/rFHDxgtTIvb3pfWl6KkvgRalRaZ0ZnB\n",
       "P7EvPIUH73jExkqXXXopV2RMht4mPBxGqWWlSeCEBp/joR2gha3Ghuq3uL4t/HJzCZdj01jYiKPX\n",
       "HpVUGFXoFFDHc8LD0eDwyvEgCKJjUI4HQYiw26U/+INJtJ6rdnn7ebeDcTJ45+A7AIDiumIU1xUj\n",
       "Oy4bKmU3PtTMZuk8Lzz++1/g/fcBhgEWL/Z7CKvTCb1S2WsEiGfLel26Do4Gd45H8u3JOP7IcdRv\n",
       "rUfSjUmw13F5Nvaz3OvRa4/CbrRLjqFQKIQhtUD7o1R4Rm0cJQnZEATBQY4HQYgIpfBosbZg7rC5\n",
       "WD13NeIMccLyEmMJSowlyInPCc2JAWDDBuD7793zDgfw9NPSbfhQy6BBwFNPcZ3zMjJ8HvLVigoc\n",
       "M5sRE4osXAA1a2rQVtSxym2eLet16TouudTlbERPiUZEXgScFidsNe5tmTZG2F6OzgiPhLkJSPhN\n",
       "QoeunyD6A+R4EIQIh8P9/A02LbYWRGi5kIVG5X6Q/Vz9M4qNxaErGmazAddey03zyaAbNgDr1km3\n",
       "60CvliqrFUtcnfSGh4WhxlX3486UFDBBSjj99bZfAQAFbEHA+/At63l0aTpJqEVpUEKpV8JpcQou\n",
       "ByAVHq0HW72OKxYe7RUEIwjCP/QXRBAi7HYgKio0x26xtiBSyzUKExcP+/TXTwEAV+RcEZoT//CD\n",
       "97Jt27yXtaO4djc3Iy88HAqFApvq64XlelGV0r9nZyM8CI1t2A6KF3udHdYqq9TxUADaFC1YGysk\n",
       "lCr1nPBgrSwcjVw+iDpOLQgPucqjAIQcDwCU40EQXYSEB0GICGWopdXWikgdJzzE5dIBIM4Qh/NT\n",
       "zg/Nibdv516zstzL9uzx3s6P41FltWLSvn1YOGAAItVqrKqqEtZFiISGIUil0llbx4THj2N+hK3a\n",
       "hrQH04Rl6ii1EBbh8zZUBhUUOgWYJkao9aFL1cHZxjki4nofYlQG93vUJFKRL4LoCpTjQfR77HZ3\n",
       "4bBQCQ+H0wGzwyw4Hp7CIysmC0pFiP4cKytdFyEa8dHqHU7w53i0MJwjsLelBXuamyXrskX7KYNU\n",
       "Kt2XAGBMjOw834mWdzEAQJusFepr8EmkvOPhtDgF4aFN1QqOh9PUfjZozMUxHXkrBEF4QMKD6Pec\n",
       "PAlEcwNOQiY8Wm3cg14QHirpSVIjU4N/Uh7enWhqci8Tj2jJy+NeA8jxkPMhhnUgNyRQ+Bb2Yuq3\n",
       "1mN7+HY07+aET9OOJmwP346GrxuEbcQVS1XR7sJevOMh5HhYnRLHgxceQqExP2gTqbooQXQFCrUQ\n",
       "BNzP4VAJjxZrCwD4DLWkRMi3WQ8KvPBoaeGGyKpU0hoen34K1Nf7TW7hh8vK5V4MDUE2rpzjUfdp\n",
       "HQCg5ecWRE2MQstP3D2t21gnbCOu46GKUEEZzv22kjgeOpfj4XJHtMmc48GyrF/HY0LphHb7rhAE\n",
       "0T4kPAhChMMR/B4tK7avwFsH3gLgdjw863VE6UKU0QoA1dXu6ZQUruFbnfthjbg4bgitD76qr8fM\n",
       "Q4cAcI6Hw0N8pGqD7wDICQ/eoVBFcfeOTwQVj06x1bqTS9WRarfjccYOhUYBhUohhFqYJgaqKBWX\n",
       "B+IEWCvrFcoRYxhCJc0JIhiQ8CAIEaFwPJZ+u1SY5ofTOpzSCpviUS5BxeEAamu5ehynTwNnz7rX\n",
       "LVoETJzojjP54MFjx4RpFhCGzgLAy0OGYGIIhgHJhVoczdw945uu8Qmf4j4rtjPua1NFukMtTTua\n",
       "EHE+d+/FoRZ1tFucMG3SLraGoQYMXzM8mG+LIAhQjgdBSAjlqBbAHWoRd6YFpCXUu8zhw8CLL3LT\n",
       "tbVc7Y7cXO/thg0D7rlH9hAfnz2Lz1yuiNjhsDqdqBO18P1tRka73Vc7g5zjwTS58jD4RFCXOGk7\n",
       "4i4yxjRLG8CJm7clzOGKeYlDLWLhUfnPSpiPmYVwSuQFkYie7F+UEQTRccjxIAgRoRYefEjF7uQe\n",
       "3rfl34batlrcN+6+4J1k/Hiu8+yjj7pDKkOHcs3exPhJCr3u6FEAAFtQALtIePCiY0RYGG5Pceel\n",
       "vJqdjcYgtvaVDbW4HA9P4SFu6AYAafenwXzcjMwnMyWhk+gLOREhHtWijlELeSDlT5cDAJIWJMF2\n",
       "xoZBf/EdfiIIovOQ8CAIF0eOAM3NXRceJxpOoN5cj7GpY73WReu4hx8fakmNTMVbV73VtRN6wre7\n",
       "t1iAxkZuOkGmdHeASaFix4MXIX/MzMSCpCRh+UPp6Z27Vh+wVu8kVj7Hw1N4eKLP0mPoyqEApL1b\n",
       "dGmcq6TUKwGWSzjVD9R7tbTXJGkoxEIQIYSEB0G4GO1qHtvV5NIhrw0BALDPsF6jQGL0XA0IXnh4\n",
       "jm4JKmazewjtWG8RFGiJdM9kUgCIDlF/Fh5Zx8M1CoUv9iUnTgBuGK0wLRIV2hQuj0ap4xwOa6UV\n",
       "EXkRXsJDXCyMIIjgQzkeBOFBMJ+pLbYWybxnqMWznkdQKStzOx7Dh7v7tPAEKDzsMsIjVI3heOSE\n",
       "B5/4ybQxsFZbfToe6hhReXORqOBHwyj13Neeo94BbYrWS3go1DRkliBCCTkeBOFBbW3wjmU0GSXz\n",
       "/DDaMQPGcK9JY4J3Mk/GjwdGjuSm5UauBBBqYVi2ZxwPD1HBMixYO3cdZ9efReXKSkRPkU/8VEe5\n",
       "r00sIvgkWF54AFzxMLFQAdy5JARBhAYSHgThQVlZ8I5lNBtll88fNR95yXkYkTgieCeTw5UkKgiP\n",
       "qiog1VUlNQDHo4VheoXjIR7mytfqaNrRBDl4Z8MXCp1bjGhTtTDkSAWYuOw6QRDBh0ItBOGBXh+8\n",
       "Y3k6HjwKhSK4oqOiAlAo3A3hxBgMAF/kSzQSJRDH47qjR2F1eoc0ujPHo2VfC7ZHyrwvH7TXtl7s\n",
       "eGhTtFAoFZKutHxjOYIgQgM5HgQh4p//BObNC86xWJYVerSEnB07uNfXX/de5xlmUSoBp9On4yEO\n",
       "rXzd0OC1XqVQIDxIXWh9IQ611LxV06F9PYVD3v/yoE1zF2jzDLUAwNgDY9G8qxlMK4MBNwzozCUT\n",
       "BBEgJDwIQsTChe0W8gyYdUfX4bntzwXnYO3Buxfr13uvi/HopqpS+RUeFhmHQ0yUShWUomG2WhtO\n",
       "/OEEcv6ZIxEDgNTx8NWp1heqCKnwiJ0RK5nnR7UA7pEu+gw99BlBtLoIgvAJhVoIQkQwIwgLNizA\n",
       "4TOHg3dAf/gLm3gqKZXK7z5mxn+HVkOQ3I7jjx1Hzds1OLP+jNc6sdjw1z9FjvZCJWKRowqjsApB\n",
       "dDckPAhChOpcfA51UHh4Oh53pEg752qCJDxYhgvpKJTe7ok41CJuda+Jb3/4sVLbzvW5Dm3IpqZv\n",
       "BNETkPAgCBFdFR5ybeMBrn7HcxeHMOwiatzmhafweOUV7o1GRMhubvYQHmEioaFWKHBpbKznLp2D\n",
       "P43Mt5DE8WhyOx7a5K430wsbEQalXomcVTldPhZBEB2HcjwIQkRXhYeVscoub3y8MSTN1AT8CY/I\n",
       "SOn8HXdw/3zg6XgYRDfFPn26ZJ29zg6WYaFN6rggYJ1+HA+LvOOhH6RH29E2r+07gnaAFtPM07p0\n",
       "DIIgOg8JD4IQ0dUogtlull0eUtEBdEx4tIM/x8OTHYncaJoCtqBD5wAQsOPhaBAJj8GUAEoQfR0S\n",
       "HgThIhiJpSa7qesH6QyiVvVedFB4eDoeYSoVmqdO7cxV+UXO8WBZFs42J5gWd3jFWu12kQxDpHkZ\n",
       "qnCV0DSOIIi+AQkPgnARjMRSs0Pe8Qg5/hwPH7kcvvB0PAxKJSJlVFlHHviHLj8EU7EJE8smuhe6\n",
       "TnP0Wq66qjpWjeTbklHxcoV0Z9HlGAZ7CI9oEh4E0dcg4UEQLoIhPHrM8QhmqMVjOK2vUIu5NHCR\n",
       "Vb+13msZ73jwOBocOPOB99BaMZ6hFoWKGroRRF+DRrUQfZItW7Zg+PDhGDp0KF544QWv9R988AHy\n",
       "8vIwZswYTJkyBYcOHWr3mF3N73jv4Ht49KtHu3aQzhIE4fFjczMWFhWhzU9yqRhTiVtk+RrN44vq\n",
       "1dUwfuFdTp7vwwIACq23qOArjcptTxBE34AcD6LPwTAMHnjgAXz99ddIS0vDuHHjMHfuXOTm5grb\n",
       "DB48GNu2bUN0dDS2bNmCu+66C7t37/Z73K7mf97y2S1dO0BX4IXHE09w+R4vveReF6Dw+K/RiLVn\n",
       "ziDPIzTjy/Fw1LuTPp0WJ1QGeYEiJ0qK7yj2eR2aeA3sRjviLo2DOlaN8NHhOPH4CQCAMkyJ7Ney\n",
       "odQrUXJXCVib+9g5b+QgfHS47zdIEESvgBwPos+xd+9eZGdnIysrCxqNBvPnz8fGjRsl20yaNAnR\n",
       "rvoVEyZMQEVFhdyhgPAzwPjXAbBdFh49gsMBPP88YHS5B8uXA3/7m3QbkfDYbDRiZ5N8V9cql3ip\n",
       "80hUDfPheIiLfDGt3nkWVauqYCm3SOpwBAIvHvRZeuS+l4uBvx8orFNoFEh/MB1JNyWDYqluAAAe\n",
       "E0lEQVR57Zd6TyqipwSp3j1BECGDHA+iz1FZWYmMjAxhPj09HXv27PG5/erVqzF79mz5ldkTgbAy\n",
       "IPwXMMz1AAqCe7GhZuNG4A9/cM9rXJU9r70W+PhjblokPGYf5kq4swUFXoeqdgmPfS0t0CuVMCiV\n",
       "aHA4fJZIF7sNTAsDJLrXMW0MSu4pgS5NhzFfjenQW+I7xcqVPueHJasMKsQUxCDh6gSUPlzaoeMT\n",
       "BNExCgsLUVhYGLTjkfAg+hwdqYnx3Xff4a233sIOvnurJxOjgRQAv94Jtfm84FxgqGhoACorgVGj\n",
       "3MusooJlGo07XrR+PVextLk54FEtVa5jfdvYiCvj47GvpQUN8B1qkTgeruGv1kornFan0IjNWmlF\n",
       "0za3w+K0OyWjVOTgQzbt9VzJ/y4frJMl4UEQIaagoAAFoh8ry5cv79LxKNRC9DnS0tJw+vRpYf70\n",
       "6dNIT0/32u7QoUO488478fnnnyM2WGW+fcA43eGEOTlzQnOS6dOB0aOly86edU9rPaqHOlw5GAHm\n",
       "eFSJElQvi42F2iVifIZabN7CY1f6LuwZsgeORnf+R8m9Je59LE7YanwnhKYsThG+lcTCI/ZS+f8/\n",
       "uaqnBEH0bkh4EH2OsWPH4tixYygvL4fNZsO6deswd+5cyTanTp3CNddcg/fffx/Z2dkBHbczOR42\n",
       "xgYn60SjpREAsOKSFXjrqrc6fqBAcIVJBEEBANXV7ukOCA+bx8gVB8vijEh4JGu1ULluiNrHjWGt\n",
       "7lCLo8UhWScucy6GaWJgKpYfcpz9ajZyVuUIQ2TFnWPHbB6DaVYqc04Q5wIkPIg+h1qtxsqVKzFz\n",
       "5kyMGDECN9xwA3Jzc7Fq1SqsWrUKAPCnP/0JDQ0NuPfee3Heeedh/PjxQb8OlmWh+4sOD295GEYz\n",
       "l9yZEZUBg1pa5GpMUsdyHNqlTdSrpKrKPa3x6Nw6eTL3KhNq0W3bJqlQWmuzQTz2JEatxqSoKAB+\n",
       "Qi0238mlvoTHroxdODRTfmizKlwFhUohCA9xnQ+FSuG362xnesUQBNEzUI4H0SeZNWsWZs2aJVl2\n",
       "9913C9Nvvvkm3nzzzQ4ds6OOB98QbuXelVg4aiEAID4sHjq1u9bE/rv3IzM6s2MHbo+WFnfHWbHj\n",
       "4eFi4LPPgNJSn7XgjXY70nTctVZ71AGJVqvx5rBheDA9HSk6ndzu3smlImzV3PG0SdqO19rg9UU7\n",
       "uSA84w6PgyZJ0/6GBEH0CsjxIAgAUHSsANa+6n1IeSlFmJ/30TwAQLwhHmol96DXq/XIT85HrCHI\n",
       "+SUtLe5pseNh9qgkGh0NXHCBz8Ok79qFvc3N3GGs0q660Wo1DCoVJrpcDzmcVieUBu4rpPS3pTj2\n",
       "0DFhneWEBQCQdIv3sFcAiL8i3muZMow7ljqWu39KfWBfT+GjwqFNJMeDIPoKJDwIAgAUTIccj6e/\n",
       "e1rI6wCA6lbOeYgP4x6oq+euxoG7DwT1EoWa7rzwcDqBEyeA5GRu3uS/XDsjU8jr8RNcYS5PxyMm\n",
       "gI55TpsT2iQtBv1lELSJWtR+UCusM5/gRJA+U76brKdDEX9FPAZcNwAAkPV0Fgb9eRAGLBzQ7jUQ\n",
       "BNH3IOFBEACglM9J8IWNkQ8fxBs44XH7ebdjWMKwLl8W3nwT2LkTWL0a4Huo8MKjogKwWAA+f6Wd\n",
       "suVWz1CMiCqrFWLdFS0jPCynLShfVi5UImWtLJQ6JTKfzETsjFhJJVPLCQsUGgW0yfJOhOfyrOVZ\n",
       "UKhdSaXhKmT+MRNKDX09EcS5COV4EATQYeFhd8q3oY/S+Q5NdIo77/Re1trKvZa4hqmOHw98/nm7\n",
       "h/IrPGw2JGm1qHE5H3qZhNKi+UVo3tmMhGsSEDEmAk6bU+inoo6XfpWYj5uhjlZDHSP/FeMpPOT6\n",
       "shAEcW5CPykIAgCUvkMtx4zHcKhWOhLDl+PRkeJmnYZ3PIpd/U4CHLFjlXFE+PBLtc2GFM/huB44\n",
       "2zjhwjq4fZxWpzDSRJMgDZ3Y6+xQx6ihjg5MePAFxwiCOPehv3aCAAClw6fwyFmZg7z/y5Ms8yU8\n",
       "ugVeeJSXAwYDMHx4QLvJOR5nXX1ZTlkswggXn/D3x3UY1sZCoeMWauK9R5WEDQ8L2PHwN1SWIIhz\n",
       "C/prJwggoFCLyW5Cs5UbBWJn3KGWZy9+NjTX5CtngxcedXVAQgIQExPQ4eSER7XNBifLotRsRo7B\n",
       "ILMXYDtr42pquL4tGBOXa+K0iRwPkfCYZp6GKcYpGPXZKKii5aueUqiFIPovJDwIAghIeExfMx3R\n",
       "z3P1M8SOR3qUd7n2oODwcU288DAagfj4gHuxyAmPJocDx8xmmJ1O5ISFea2319mxc8BOlD9dLoSR\n",
       "mDZOeLBWVhAMYuGh1CuhidNAoVIIoRbPrrGew18p1EIQ/Qf6aycIwG+oheenqp8AAGUNZRLhkRaZ\n",
       "Fppr8qitIcAnl9bVccIjwLwScY5Huk6HZ7KyAHDdaAFgWFgYqidPRi1f8RQQeq7UvFMjfFvwuR5O\n",
       "m7sZnGdyKY9Sq8T4kvEY+clIyXJVhAoTSicI8+R4EET/gYQHQQABCQ+ezaWbJaNa0qI44RG0CqXP\n",
       "PceJCV/N3ZqagIICYNcuTngEiNjxSNPpkOnK6fjRJTxyDAYka7UYIEoydVq4fRzNDiHHg3c85JJL\n",
       "w8eEe503bGgYNHHSHBCFWgHDEHdohxwPgug/0HBaggB8hlocTu/lpfWlaLO5+6VE6aLw0bUfYUL6\n",
       "BK9tO8WTT/pff/Ik8P333DQvPP73P2CA/4JbYuGhBBDuKkj2WV0dsvR62VEtvMhgmhl3qMWV4yFJ\n",
       "Lo3VIPe9XMRcIp9volArMOKjESi6vkh+vYYcD4LoL5DwIAgAUDCyi/lkUjF/3/13ybxercd1I68L\n",
       "yWXJsm+fe5oXHjNm+Nz855YWfHjmDC4WJaEq4BYeZRYLHkxLkx0KzAsPAII/euy+Y2je0QymjZGM\n",
       "Rkm6Sb48Os+A6wagCD6ER3cMQyYIoldAwoMgAJ+Oh7gsui88u9GGnEbRNbU3BBbAVUeOoNJqxRDR\n",
       "qBWlQiEIDwCY4KMni0R4iODLo3c0N2PERyNgrfCRu0IQRL+AAqsEAfjM8WiyNMlufsf5dwjT4m60\n",
       "IWHDBuCPf+SmR42Srquvb3d3teuNHeaTUuFyPFzVSaMbgfgv2+R2FRJJAYBp9RYhHc3NGHDdAGT8\n",
       "NqND+xAEcW5BwoMgAN/CwyoVHknhXDghJy7HvasixH9GOh3AlzD3FB4LFrS7e7yr78qhNre4EDse\n",
       "zywH9ItPwVrl7USIHQ9zidlrPRX+Igiio9C3BtHPcakNtQWOqFKvtZ6hFq2KS8BMiUwJ+ZUJ6HTu\n",
       "zrTZ2e7lDQ3AuHE+d/vVZALLsghz7bvnbBOSarh14hyPwVyDWpiPuYWFvc4Ou9EuER5Oq9v94EMs\n",
       "fHIpQRBEoJDwIPo5rtoWlzyJuoVDUd5YLlnLh1oW5S0CACwYzTkMY5LGhOhyZKqVioWH0wlccgk3\n",
       "HR3tva2LX00m5O7diz+dPIkGVyGy378IfLgA0Niko1p4TCUmYXpH4g7sSNjhM8cjeip37q46HvpM\n",
       "fZf2Jwii70HCgyAAQMuFISqaKySLjWYjAODVy1/FySUn8fwlz+PUklOhEx5m73CGJNTCMMCXXwLV\n",
       "1X4Lh/FdZl+pqIDRbsfc+HhM/YFbF93EjSIJUyoBFtC6aqGZi73P7WxzAkpAFSUVKTEF3AgZW23X\n",
       "etaMOzoOU4xTunQMgiD6FiQ8CEKEZ92OOlMd1Eo1onRRGBg9EAqFAhnRIUiOnDgRWLFCviCYp+Oh\n",
       "0wHJyX4PV+9q/tbocOCMzYYR4eGCTolqBobo9TAolUg8Cxgs3PK2Iu8E05PPngScQNgwaTn1+Cu5\n",
       "62TtPvrJBIgqXOVVXIwgiHMbGk5LECLEzd8AzvGIM8TJ1pkofqBYts5Hh2luBvbs4VwMi0sF3H8/\n",
       "8I9/cNOejkcAGO3u9+EEEK/RQK9UgoUTf4/LwqXZGVAoFBj3I7dN9LRoNH7fCMbMQGXwbuwWNTEK\n",
       "LT+2IP6KeAx6dhAi8iIw+ovRiJosPwyXIAjCF+R4EARPylz8p1HqeBhNRiSEJchunhOfg7GpYzt3\n",
       "rjvvBKZNA86cAY4d45adOuVeL04a1ekAvSsXQiXf7RUAvmtowPyiIlxy4ADuKimRrItXq4Wu9pOY\n",
       "cBhcx5m8E6hJAjL/kAmnyYnG7xrBMt4uRuylsQAAZbgSEXlcU7r4K+PJrSAIosOQ40H0bxSih2zO\n",
       "b7GmBXhbtLrOVId4Q+D9UALCZALefJOb/uEHt8vBM20acPXVwK23cvM6HbB4MSdQ/JRTn3HwILz7\n",
       "z3Kk63RCHq3dyLkhjJnBBT8Dm2cB107knAvTLyZETfJ2MeJnxSPjdxlIubMbR/MQBHFOQo4H0b+R\n",
       "qVj6+p7XwbIsfjj1A74/+T3iwzooPH7+GfjiC/l1a9cC//2ve/6ZZ4BPP+USRYcNw/rp03Hkk08A\n",
       "VyXRDRdeiINOJ2AwAK++6ncki04p/+ecXA2kfNgiER71W+tx8i8nobcCOycDqmgVlAYlbNU2oSOt\n",
       "GIVagSEvDkHY0DCvdQRBEB2BHA+ifyMjPB7a8hBGDRiFi9+9GAAQq4/t2DHHusIvnkNjbTZg4ULp\n",
       "siNHuH9paXA+8giuz8mB6sgROKZPBwDc+dhjuNRoxLr09HZPG6lSwez09jz+fSdQ11YmzNuNdhy6\n",
       "/JAwP2lWKhQKBbQpWlirrGCa3HkkugwdEq6WDzURBEF0BhIeRP9GrkdLRA7KGl0P6ohsFDeclK6v\n",
       "qeGGvQ4a1P7xnU5g925g8mTgxAnf2yUk4PQttwC7d4NhWfxqMiFTq0VDVBSKbdIhqzubmjApKgrN\n",
       "DIOTFgsqrVbEaTTQyjgemeVAhMdglTNrzwjTmgEavDaKq8KqS9WhaVsTqhOqAQB53+Qh9uIOii6C\n",
       "IIh2IOFB9G/khMcFq7C/6UcYwjNgvuDfsCpqpetTXHkOcsW+xJjNXJ+Vm28GPvgACA93r0tNBaZP\n",
       "50IvABAfj2KTu4BX7t69OO4aWnvMbIaTZaFUKLCvpQVT9u/H2hEjsKqqCoWN3k3sJkVFYVdzMyZE\n",
       "ReG+p71H3diq3UJGl+LuM6NN0aLphyZUvl4JAFDH0NcDQRDBh3I8iP6NkgGgBDTSPI69dWVwxHAh\n",
       "E2f4EADAWZsNVplQhk+MRncn2Y8+AnbudK9LTATeeQeOSy+FU6EA4uNR4lE8rDQtDQBgcjpRaeX6\n",
       "qJS5ElE/q6tDYWMjlAygEF3Sc4MGoTA/H6YLL8T3I8dgYBUQfn6EsH7MVmnhM7G4cJql700dTcKD\n",
       "IIjgQ98sRP9mznuyi/fWHgUGcKXJ1QoFttbX4/JDhzA2MhI/Bnpso9FdiXTjRum6hARAo4Fm6VIs\n",
       "GD8e/6mvxzGR4wEAM//6V2G6xGxGhl6PalfYZcPZswCAb2YAP48HHn9RAYZlkRMWJoRcTMdNAAOk\n",
       "3JqM0n1cHxqvESui8iTaVK4PjS5dB2uFFeo4+nogCCL4kONBEHLoEoDwLABcqOOIq7PrTy0tqEgI\n",
       "MNnSaOT+iYnhSo0jPh6sK1SzdsYMID4eRodM2MdFiUuUVLmcDwfLCprhgr3A7vPPx/u5ubhSVPmU\n",
       "7yYbNc4tNtSRvsXEkL8NwXnbz8P44vHIL8yHJpZqdBAEEXxIeBCEDGpDKqBPhQ4sGh0OPHb8uLDu\n",
       "i8mTcdmLL2LTP/8JPPqodEerqLW80QjU1eGfV12FW554glt2003ca3w82sRhG70eTT6ER7hKhWKz\n",
       "GR+eOQPHA6fw/iJgUAVwoSpS2GZsZCRuTEqCsp7B/qn70VjYiMNzDgMADDkGn+9TE+8WF+pINaKn\n",
       "RkMVpkLM9Bh/t4cgCKLTkPAgCBmU0WMApRo3xbhjEYP1egzSavF/c+bgf+PG4drBg4GXX5bu2NTk\n",
       "nnY5HvcvWYL3Zs7klrnqcyAuTiI0bAqFrPBYlZODoQYDSkwmLCgqwuzNQNop4K81yfiTPs1r+9oP\n",
       "atG0owkHLjoAAEi9OxWaOA1GbhiJvG/zAAAKFfeekm5KwtA3hnb43hAEQXQFEh4EIYMtgnsgjw/X\n",
       "4PnBgwEAESoV5mi1OJSdDQCIdIU/vjEasWb1auDgQSGZtDE8HEvDw2ETjTpp0+vxYmYm7n7kEfxl\n",
       "6FBsra8HAOQWAStP5CL6gBVXetQduys1FcPCwvBDUxOXB+siv0aDvDZ3S3mnxYmWn1tQuqRUWKbL\n",
       "0AnCIvGaRMRexA2NVWg54THkpSHQJmq7dqMIgiA6CGWPEYQvWBZXpY/BrjYufNLKMJjjdOI11+pI\n",
       "V+LojMOHgSFDcMPs2TB89hkAYNmtt+LVjAzkZmUJhytfvx6PR0QAOVzdDBQXAwD+eT8AxOL81dyI\n",
       "lU2zAaeoJct5ERFYd+YMolrdy0wlJkRUuUerWKutOPU81+sldkYsLKcsSLs3Tba53ejPR6Pi1Qpo\n",
       "EiiHgyCI7oeEB0H4QKNUIskQiRwnZwy2MAymNTUhkmXR4qrJUZiXJ2z/XUYGLl27FpsnT0ZjBCcK\n",
       "LKKcj98NHAjl2XpM2APsmgTJiBIxyTVAlSiKMouJwntHgGbRgJSWn1ug1LkNy7MfncXZj88i5c4U\n",
       "DPvXML/vK3ZGLGJnUGEwgiB6Bgq1EASA6QcOCNNX7eJci78O4ep3DDZwyZmPZmRAW1KCG777DgBw\n",
       "PC0NF73yirBfYV4eVhiNuOrZZ/HF1KkAgDZRe/rN9fWYuRV47kngii99X0t6Bfe6YMAAAID66Sr8\n",
       "7XfAjSpuxErsjFjYqmw4+/FZYZ8TT3BVUQdcP6Djb54gCKIbIeFB9Em2bNmC4cOHY+jQoXjhhRdk\n",
       "t3nooYcwdOhQ5OXlYf/+/X6P99i6dXjp5evAXnQRXlr5L9inT8dDMTHAwYPQnz4N5/TpeDwhAfi/\n",
       "/8Oql1/GX994w+sYB7Oz8f6MGYhuBOojIhDdCJTHDkFKFbc+uhGId42uffL7cOjNwCCZKuprGwai\n",
       "JXYs3tRkgXWwqP+yHnoLcF8dN9Jk8IrBmHJ2CibXTsbUhqnCfhmPZXTaySgsLOzUfucidC/c0L1w\n",
       "Q/cieJDwIPocDMPggQcewJYtW1BUVIS1a9fil19+kWyzadMmlJaW4tixY/jXv/6Fe++91+8xo9va\n",
       "MIGrFI4hVWaoy8uhWLgQyM8HBg+G4sQJbihscTGUN9yArJoayf5ZAL4aNw4ZJRn47GrgrlXAZ1cD\n",
       "v/n35fjPjcCtb3Pzl/6P2976Uxs2zwbeWux9LadeOIWf8n/C3py9OPnsSTgauNEuLbtaAACaBA00\n",
       "CRpoB2gllUcjx0d6HyxA6EvVDd0LN3Qv3NC9CB4kPIg+x969e5GdnY2srCxoNBrMnz8fGz0qg37+\n",
       "+edYtGgRAGDChAlobGxEbW2t3OEAAGFWK0aUtYHh8y7WrgW2bgVmzeIava1dC2zeDIwfD6xYgat2\n",
       "7MCmxx/Hr+Hh+JFlcY2re+zVG7mRLgs+lB5/0bvc68DTQNiIMOjSdZCjcetgjPxkJEZuGAllmBLl\n",
       "y8qFv9KmndxQXXW8fGpWWA61rCcIovdDyaVEn6OyshIZGRnCfHp6Ovbs2dPuNhUVFUhKSpJs9+Vs\n",
       "7rXV8gqOsCycCgAKQPkkAHwKFIYByoeAp5wANgCHDcDoUwDzOSJ+VODMxRYAasxiK3GJEzCYvYt1\n",
       "FeUCI0SGTPTkaOgz9Sh7qgwWHaAX1Ryz5euROCARAFDzTg2MnxsRe3Esmvc2w3raCoVWAVWESnJ8\n",
       "XZoO1korDEN9FwojCILoLZDwIPocckNE5WA9usfK7XeF+SKPnTw2MPuZZwG0on1+8Zh/UzRt9ViX\n",
       "BNzguf/XomkbfPuU4T6WB8jy5cu7doBzCLoXbuheuKF7ERxIeBB9jrS0NJw+fVqYP336NNJdoQ5f\n",
       "21RUVCAtTVrp01OYEARBEKGHcjyIPsfYsWNx7NgxlJeXw2azYd26dZg7d65km7lz5+Ldd7nEit27\n",
       "dyMmJsYrzEIQBEF0P+R4EH0OtVqNlStXYubMmWAYBosXL0Zubi5WrVoFALj77rsxe/ZsbNq0CdnZ\n",
       "2QgPD8fbb7/dw1dNEARBAABYguiHbN68mR02bBibnZ3NPv/88z19OSHntttuYwcMGMCOGjVKWGY0\n",
       "GtkZM2awQ4cOZS+99FK2oaFBWPfcc8+x2dnZ7LBhw9itW7f2xCWHhFOnTrEFBQXsiBEj2JEjR7Kv\n",
       "vvoqy7L9816YzWZ2/PjxbF5eHpubm8s+8cQTLMv2z3vB43A42Pz8fPbKK69kWbb/3ovMzEx29OjR\n",
       "bH5+Pjtu3DiWZYN7L0h4EP0Oh8PBDhkyhC0rK2NtNhubl5fHFhUV9fRlhZRt27ax+/btkwiP3/3u\n",
       "d+wLL7zAsizLPv/88+zjjz/OsizLHj16lM3Ly2NtNhtbVlbGDhkyhGUYpkeuO9hUV1ez+/fvZ1mW\n",
       "ZVtaWticnBy2qKioX94LlmXZtrY2lmVZ1m63sxMmTGC3b9/eb+8Fy7LsSy+9xC5cuJCdM2cOy7L9\n",
       "82+EZVk2KyuLNRqNkmXBvBeU40H0OwKpA3KuceGFFyI2VlrVVFzr5P/bu5+QqNYwjuPfYwghipjk\n",
       "eMRFZfRPdOZUTAtXmdEilEqUXIhBbY1q0dr+KKRtokVEEUkEQptbhoZBt4j+IIXiVspi1IwyzCxh\n",
       "yt4W2txEr3hr5ky39/fZzcxheOa3mPNwznuet66ujr9mNri7fv06NTU1pKamsmLFClavXk13d7fv\n",
       "NSdCbm4uoVAIgPT0dNavX8/Q0JCVWQCkpU3PfolGo0xNTZGVlWVtFoODg3R0dHDgwIHYwnNbs4C5\n",
       "i+/jmYUaD7HOfDM+hoaGklhRcrx+/Tq24DYQCMQGrA0PD896SuhPzefFixf09PSwZcsWa7P4+vUr\n",
       "oVCIQCDA1q1bKSwstDaLw4cP09LSQkrKP6dFW7NwHIeysjI2b97MhQsXgPhmocWlYp3FzgGxieM4\n",
       "C+byp2U2MTFBZWUlZ86cISNj9qh5m7JISUmht7eX9+/fs2PHDv6e2QDxO1uyuHnzJjk5OXie96+j\n",
       "0W3JAuDBgwe4rsubN2/Yvn0769atm/X5r2ahKx5incXMAbFBIBBgZGbPmVevXpEzsxvuYmag/J99\n",
       "/vyZyspKamtr2bVrF2BvFt9lZmayc+dOnj59amUWDx8+5MaNG6xcuZKamhru3LlDbW2tlVkAuK4L\n",
       "wPLly9m9ezfd3d1xzUKNh1hnMXNAbFBRUUFraysAra2tsZNwRUUFbW1tRKNRBgYG6O/vJxwOJ7PU\n",
       "uDHGsH//fjZs2MChQ4di79uYxdu3bxkbGwNgcnKS27dv43melVk0NTURiUQYGBigra2N0tJSrly5\n",
       "YmUWnz594sOH6Q0pP378SFdXF0VFRfHNIgELYkV+ex0dHWbNmjWmoKDANDU1JbuchNu7d69xXdek\n",
       "pqaa/Px8c+nSJTM6Omq2bds27+NxjY2NpqCgwKxdu9bcunUriZXH1/37943jOCYYDJpQKGRCoZDp\n",
       "7Oy0Mou+vj7jeZ4JBoOmqKjINDc3G2OMlVn86O7du7GnWmzM4vnz5yYYDJpgMGgKCwtj/4/xzMIx\n",
       "RnOjRURExB+61SIiIiK+UeMhIiIivlHjISIiIr5R4yEiIiK+UeMhIpJgo6OjeJ6H53m4rkt+fj6e\n",
       "57Fx40a+fPkCQHt7O6dOnVrwey5fvkx9fb0fJYskjCaXiogkWHZ2Nj09PQAcO3aMjIwMjhw5Evt8\n",
       "amqK8vJyysvLF/yeP2k6pthLjYeIiM+MMezbt4+lS5fS29tLSUkJxcXFPHnyhLNnz9Le3k5jYyPR\n",
       "aJTs7GyuXr0amxT53bVr1zh+/DhLliwhMzOTe/fuJenXiPw3ajxERJLAcRyGh4d59OgRjuPEpkLC\n",
       "9G7Cjx8/BuDixYs0Nzdz+vTpWTuGnjhxgq6uLlzXZXx83Pf6RX6WGg8RkSSpqqqa9/ZJJBKhurqa\n",
       "kZERotEoq1atmnNMSUkJdXV1VFdXs2fPHj/KFYkLLS4VEUmStLS0ed+vr6/n4MGD9PX1cf78eSYn\n",
       "J+ccc+7cOU6ePEkkEmHTpk28e/cu0eWKxIWueIiI/AZ+vI0yPj5OXl4eMP0ky3yePXtGOBwmHA7T\n",
       "2dnJ4OAgy5Yt86NUkV+ixkNEJEl+vM3iOE7sdUNDA1VVVWRlZVFaWsrLly/nHHP06FH6+/sxxlBW\n",
       "VkZxcbH/P0DkJ2iTOBEREfGN1niIiIiIb9R4iIiIiG/UeIiIiIhv1HiIiIiIb9R4iIiIiG/UeIiI\n",
       "iIhvvgGL1FKejmIn5AAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17e4d4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for n in ('sg / pl', 'sg / du / pl', 'sg / du / tr / pl', 'du / non-du', 'sg / du / tr / qu / pl'):\n",
    "    plt.plot(range(1,len(P[n])+1), P[n], '-', linewidth=1.5, label=n)\n",
    "    \n",
    "plt.suptitle('Proportion of 100 learners who label all 15 items correctly')\n",
    "plt.xlabel('Trials')\n",
    "plt.legend(loc=(-0.55,0.5))"
   ]
  }
 ],
 "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": "2.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}