statistics.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as pp\n",
    "import pandas as pd\n",
    "import seaborn\n",
    "import itertools\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['simple read', 'simple write', 'simple update', 'simple delete', 'complex read', 'complex write', 'complex update', 'complex delete', 'balanced read', 'balanced write', 'balanced update', 'balanced delete']\n"
     ]
    }
   ],
   "source": [
    "level = ['simple','complex','balanced']\n",
    "action = ['read','write','update','delete']\n",
    "\n",
    "table_titles = [ x + \" \"+ y  for x in level for y in action]\n",
    "print table_titles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>simple read</th>\n",
       "      <th>simple write</th>\n",
       "      <th>simple update</th>\n",
       "      <th>simple delete</th>\n",
       "      <th>complex read</th>\n",
       "      <th>complex write</th>\n",
       "      <th>complex update</th>\n",
       "      <th>complex delete</th>\n",
       "      <th>balanced read</th>\n",
       "      <th>balanced write</th>\n",
       "      <th>balanced update</th>\n",
       "      <th>balanced delete</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>ORMLite</td>\n",
       "      <td>151</td>\n",
       "      <td>666</td>\n",
       "      <td>122</td>\n",
       "      <td>105</td>\n",
       "      <td>445</td>\n",
       "      <td>3836</td>\n",
       "      <td>857</td>\n",
       "      <td>811</td>\n",
       "      <td>1563</td>\n",
       "      <td>3426</td>\n",
       "      <td>724</td>\n",
       "      <td>728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>SugarORM</td>\n",
       "      <td>245</td>\n",
       "      <td>842</td>\n",
       "      <td>252</td>\n",
       "      <td>152</td>\n",
       "      <td>1402</td>\n",
       "      <td>4129</td>\n",
       "      <td>1467</td>\n",
       "      <td>1003</td>\n",
       "      <td>2204</td>\n",
       "      <td>4397</td>\n",
       "      <td>1702</td>\n",
       "      <td>1197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>DBFlow</td>\n",
       "      <td>97</td>\n",
       "      <td>757</td>\n",
       "      <td>459</td>\n",
       "      <td>186</td>\n",
       "      <td>360</td>\n",
       "      <td>3534</td>\n",
       "      <td>3124</td>\n",
       "      <td>1044</td>\n",
       "      <td>1129</td>\n",
       "      <td>4653</td>\n",
       "      <td>5204</td>\n",
       "      <td>1268</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Freezer</td>\n",
       "      <td>248</td>\n",
       "      <td>5430</td>\n",
       "      <td>240</td>\n",
       "      <td>4797</td>\n",
       "      <td>1337</td>\n",
       "      <td>78982</td>\n",
       "      <td>2221</td>\n",
       "      <td>22104</td>\n",
       "      <td>3255</td>\n",
       "      <td>134942</td>\n",
       "      <td>1887</td>\n",
       "      <td>29515</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Requery</td>\n",
       "      <td>87</td>\n",
       "      <td>1501</td>\n",
       "      <td>147</td>\n",
       "      <td>129</td>\n",
       "      <td>461</td>\n",
       "      <td>8057</td>\n",
       "      <td>861</td>\n",
       "      <td>802</td>\n",
       "      <td>1368</td>\n",
       "      <td>8002</td>\n",
       "      <td>886</td>\n",
       "      <td>763</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Realm</td>\n",
       "      <td>151</td>\n",
       "      <td>29</td>\n",
       "      <td>1079</td>\n",
       "      <td>723</td>\n",
       "      <td>698</td>\n",
       "      <td>688</td>\n",
       "      <td>19666</td>\n",
       "      <td>9180</td>\n",
       "      <td>1522</td>\n",
       "      <td>210</td>\n",
       "      <td>21129</td>\n",
       "      <td>10006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>GreenDAO</td>\n",
       "      <td>81</td>\n",
       "      <td>1238</td>\n",
       "      <td>117</td>\n",
       "      <td>97</td>\n",
       "      <td>357</td>\n",
       "      <td>5552</td>\n",
       "      <td>455</td>\n",
       "      <td>274</td>\n",
       "      <td>598</td>\n",
       "      <td>5905</td>\n",
       "      <td>504</td>\n",
       "      <td>315</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>ActiveAndroid</td>\n",
       "      <td>3123</td>\n",
       "      <td>930</td>\n",
       "      <td>2293</td>\n",
       "      <td>2423</td>\n",
       "      <td>14671</td>\n",
       "      <td>4165</td>\n",
       "      <td>15958</td>\n",
       "      <td>13023</td>\n",
       "      <td>17213</td>\n",
       "      <td>4653</td>\n",
       "      <td>19303</td>\n",
       "      <td>14642</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Sprinkles</td>\n",
       "      <td>5766</td>\n",
       "      <td>1050</td>\n",
       "      <td>6364</td>\n",
       "      <td>605</td>\n",
       "      <td>25978</td>\n",
       "      <td>4334</td>\n",
       "      <td>65579</td>\n",
       "      <td>2428</td>\n",
       "      <td>27774</td>\n",
       "      <td>4526</td>\n",
       "      <td>37705</td>\n",
       "      <td>2519</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Room</td>\n",
       "      <td>131</td>\n",
       "      <td>699</td>\n",
       "      <td>170</td>\n",
       "      <td>109</td>\n",
       "      <td>562</td>\n",
       "      <td>3201</td>\n",
       "      <td>717</td>\n",
       "      <td>403</td>\n",
       "      <td>1330</td>\n",
       "      <td>3532</td>\n",
       "      <td>790</td>\n",
       "      <td>507</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>SQLite</td>\n",
       "      <td>50</td>\n",
       "      <td>436</td>\n",
       "      <td>63</td>\n",
       "      <td>80</td>\n",
       "      <td>386</td>\n",
       "      <td>2155</td>\n",
       "      <td>192</td>\n",
       "      <td>284</td>\n",
       "      <td>1146</td>\n",
       "      <td>2313</td>\n",
       "      <td>213</td>\n",
       "      <td>318</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             name  simple read  simple write  simple update  simple delete  \\\n",
       "0         ORMLite          151           666            122            105   \n",
       "1        SugarORM          245           842            252            152   \n",
       "2          DBFlow           97           757            459            186   \n",
       "3         Freezer          248          5430            240           4797   \n",
       "4         Requery           87          1501            147            129   \n",
       "5           Realm          151            29           1079            723   \n",
       "6        GreenDAO           81          1238            117             97   \n",
       "7   ActiveAndroid         3123           930           2293           2423   \n",
       "8       Sprinkles         5766          1050           6364            605   \n",
       "9            Room          131           699            170            109   \n",
       "10         SQLite           50           436             63             80   \n",
       "\n",
       "    complex read  complex write  complex update  complex delete  \\\n",
       "0            445           3836             857             811   \n",
       "1           1402           4129            1467            1003   \n",
       "2            360           3534            3124            1044   \n",
       "3           1337          78982            2221           22104   \n",
       "4            461           8057             861             802   \n",
       "5            698            688           19666            9180   \n",
       "6            357           5552             455             274   \n",
       "7          14671           4165           15958           13023   \n",
       "8          25978           4334           65579            2428   \n",
       "9            562           3201             717             403   \n",
       "10           386           2155             192             284   \n",
       "\n",
       "    balanced read  balanced write  balanced update  balanced delete  \n",
       "0            1563            3426              724              728  \n",
       "1            2204            4397             1702             1197  \n",
       "2            1129            4653             5204             1268  \n",
       "3            3255          134942             1887            29515  \n",
       "4            1368            8002              886              763  \n",
       "5            1522             210            21129            10006  \n",
       "6             598            5905              504              315  \n",
       "7           17213            4653            19303            14642  \n",
       "8           27774            4526            37705             2519  \n",
       "9            1330            3532              790              507  \n",
       "10           1146            2313              213              318  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result_table = pd.read_csv('result.csv',names=['name']+table_titles)\n",
    "result_table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "colors=['#F44336','#E91E63','#9C27B0','#673AB7','#3F51B5','#2196F3','#00BCD4','#009688','#4CAF50','#8BC34A','#CDDC39','#FFEB3B','#FFC107','#FF9800','#FF5722','#795548','#607D8B']\n",
    "\n",
    "rows = len(result_table.index)\n",
    "\n",
    "def benchmark_plot(title, data_titles, maximum=0):\n",
    "    local_max = maximum\n",
    "    pp.figure(figsize=(12,2.5))\n",
    "    pp.title(title)\n",
    "    for i in range(rows):\n",
    "        row = result_table.iloc[i]\n",
    "        data = [row[k] for k in data_titles]\n",
    "        if maximum == 0 and local_max<max(data):\n",
    "            local_max = max(data)\n",
    "        pp.bar([len(result_table.index)*j+i for j in range(4)],data, label=row['name'], color=colors[i])\n",
    "\n",
    "    pp.xticks([len(result_table.index)*j+4 for j in range(4)],[k.split()[1] for k in data_titles])\n",
    "    pp.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n",
    "    maximum = local_max\n",
    "    pp.axis((0,rows*4,0,maximum))\n",
    "    #pp.xlabel('libs')\n",
    "    pp.ylabel('ms')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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RkXZkyn8XFnVbsT7jloTaRQ8T6hnNJNSpvMjd58XQXFP755rZPYQ6krck4jLHlxCSPEm5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\nIiIiIiIiIiIiIiIiIiIi2/n/nsRtqPua3LcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c9562d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "benchmark_plot('Simple ORM Benchmark',table_titles[:4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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c/cE0ze5Y4DLgPWCwuz+TaTPdzF4HlnN3T7ufJYJcTzfmjnY0CjCJiIiISIdS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\n7H8B6GT4co1kGSUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1105f3f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "benchmark_plot('Complex ORM Benchmark',table_titles[4:8],20000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gdFtPQjoeFfkWEREREREREZFmUYBJRERERERERESapSyWyJnZJsBRwFpAb2BH\nd38gc30YsEfutuHuvn2mzULA+cAfgG7ACGCIu3+aabMkcClR7b2aqPJ+iLvPyrRZDrgS2Az4CrgJ\nONbd55Xo4YqIiIiIiIiIdCjlksG0MPAqcEA6zld5rwEeBXplPnbNtbmQCBztDGwKLAPcl2tzG9AX\n2Cq13QS4pnDRzLoCDxOBtw2AvwCD+K4qvYiIiIiIiIiI5JRFBpO7DweGA5hZsSYVQFU2GynLzBYD\n9gR2TVXiMbPBwHgzW8/dXzKzvsA2wDru/kpqcxDwiJkd4e6Tga2JANQW7v4ZMNbMTgTONrOT3X1u\n6R61iIiIiIiIiEjHUC4ZTPWpATYzsylm9paZXZGWuxWsDSwIPF444e4TgEnA+unUBsD0QnApeYJY\nKrdeps3YFFwqeAzoAfQr5QMSEREREREREeko2kuAaTjwZ2ALYCixBO5RMyvMvxeR4TQjd9+UdK3Q\nZr4MqJSRNDXXZkqRPsi0ERERERERERGRjLJYIlcfd78zczjOzMYC7xKBpn+XeLiK5tzcpUsFXbo0\nqwvJ6Nq1y3yfO5NSPeauXbuwwAKl/T5m+5T2oSWfT53x91OkPWiJ39HoK18qs2n9tOTriF5DpZT0\nGioi0jDtIsCU5+7vm9nnwMpEgGkyUGlmPXJZTD3TNdLnpbP9mNkCwJK5NuvmhuuZuVavJZdchIoK\nBZhKrUeP7m09hVZXqsfco0d3llhikRbrU9qHlvzZd8bfT5H2pJS/o9HX1yXppyVfR/QaKqWk11Dp\ngCqB/q085higqpXHlFbWLgNMZvYT4IfAJ+nUy8C3xO5w96U2qwDLAS+kNi8Ai5vZWpk6TFsQywRf\nSsfPA8eZ2VKZOky/AL4E3mzI3KZOnaUMphLq2rULPXp0Z8aM2cybV93W02lVM2bMLlk/06bNarE+\npX1oiZ99Z/79FGkPWuJ3tL28jug1VEpJr6HSAfXfbOXDRy3RfblWGWza7EmMfOeCgcDohrQ3s2HA\nHkUurezu75VyblJaZRFgMrNFgJ9mTq1oZmsCXxA1kk4B7iHqIa0EnAO8DYwAcPcvzex64AIzmwrM\nBC4Fnnf3UanNeDMbDlxrZvsRUdvLgNvTDnIQBb3fBG4xs6OB3sDpwOXu/m1DHkt1dQ3V1c1PHZf5\nzZtXzdy5nevFt1R/bGS/dy3Rp7QPLfmz1/NBpLyV8nc0/i1p/htpLf3vhl5DpZT0GlpaVVVVjBv3\nerP76ddhuWVDAAAgAElEQVRvDSorK0swo85pie7LsfQPVmnradSmBngUGJw7/3n2wMwq3b3ssqLM\nrCtQ7e6dLjBQFgEmYlnak+nrGuCC9PUwYAiwBhHBXBz4mAgsnZgL+hxG7Ah3L9CNKAw+JDfO7kRQ\nqbB73D3AwYWL7l5tZjsAVxIZT7PSHE5q/kMUERERERHp3MaNe51tbr0cevesv3FtPpnCiD8dwIAB\na5duYlJOKoA57j7fJl1mNtLMXgfmEf+3HwtsaWarA+cCGxH/h38MOMzdv0j3VQDHAPsQm3c5cLq7\n35uuD6N4xtRm7v60mXUD/gb8kYhJvAEMdfen0v2DgAtTH2cTyTMrEbvadyplEWBy95HUvaPdtg3o\nYw5wYPqorc004olYVz+TgF/WN56IiIiIiIg0Qe+e0GfZtp6FlLfa0mX/AlwB/BzAzBYnklWuAQ4B\nFiaCPHcBW6Z7jgN2A/YlVkJtCtxqZp+5+9NE0snRmXGPBf4AvJXOXQasms59DOwEDDezNdz9ndRm\n4dTHnsRKrELJnU6lLAJMIiIiIiIiIiLJDmY2M3P8KLHayd39mMJJMzsBeMXdT8ic2wuYZGYrAx8S\nAaMt3b1Qe3mimW1MBJyeThuFzUj37gT8NbX/1MyWAwYBy7l7oQb0+Wa2LbGE7/h0bkFgiLs3f/1n\nO6YAk4iIiIiIiIiUkyeB/TPHXwO3Ext8ZfUHNs8FoyCCUSsR5XMWBh43s+z1SuCV7AkzGwDcDBzg\n7oXNwtYAugKeu78b89eEqurswSVQgElEREREREREysvX+R3jUoAnvw3nIsCDwNAifUwmAkQA2wMf\n5a7PyfTdK/VzrbvfmGmzKFHzaa30OeurzNel2W6ynVOASURERERERETao1eA3wEfuHs+AISZvUkE\nkpZ392eKdWBmCwEPEDvKH567/CqRwdTT3Z8t5cQ7IgWYRERERERERKTcVfD94t+XE7vD3W5m5wDT\ngJWJgtx7u/tMMzsPuNDMugDPAYsBGwJfuvvNwNXAT4gC4j0zS+G+cHc3s9uAm83sCOA1YCmigPgY\nd3+k5R5u+6MAk4iIiIiIiEgnMm32pHIeqyZ91Hve3T8xsw2JneMeI2ojfQA86u7Vqc2JZvYZUex7\nRWA6UcvpzNTNJkAvIoMpO9bmwNNEMe8TgPOBHxO1l14gltRl23d6CjCJiIiIiIiIdB5jRr5zwcDW\nHrOhDd19cC3nN6/l/DvEMrm6+rwEuKSWayvUc+9c4JT0Uez6MGBYXX10FgowiYiIiIiIiHQeVcDo\ntp6EdDxd2noCIiIiIiIiIiLSvinAJCIiIiIiIiIizaIAk4iIiIiIiIiINIsCTCIiIiIiIiIi0iwK\nMImIiIiIiIiISLMowCQiIiIiIiIiIs2iAJOIiIiIiIiIiDSLAkwiIiIiIiIiItIsC7T1BERERERE\nRESk1VQC/Vt5zDFAVSuPKa1MASYRERERERGRzqP/KmsdOmrhHsu3ymBfz/iACa9cNBAY3ZD2ZjYM\n2CMdzgUmAw8BQ919ZotMUkpCASYRERERERGRTmThHsvTYwlr62nUpgZ4FBgMLAisA9xEZF7t3Ybz\nqpeZLeDuc9t6Hm1FASYRERERERERKRcVwBx3/zQdf2RmjwPrAZhZF2AosA/QC3DgdHe/t9CBmW0P\nXAT8BHgRuBm4AVjc3WeY2SnAb9x9QOaeQ4FD3H2FzLm9gSOAPsBE4BJ3vzJd6wO8B/wROAAYCBxh\nZmcBe+bm81vgVqCnu89q/reoPKnIt4iIiIiIiIiUk4rCF2a2OvBz4OV06ljgT8C+wGrAhcCtZrZJ\nar8scB/wAFFr6jrg70RmVIOZ2e7AqWm8VYHjgNPNbI9c07+nOayaxr2DyL7KGgzc3ZGDS6AMJhER\nEREREREpLzuY2UwiZtGNyEDa38y6EQGfLd39pdR2opltTAScngb2B95296PS9bfNbA0i66kxTgUO\nd/f70/EHZtYvjXNzpt2FmTaY2XXA82bWy90nm9nSwHbAlo0cv91RgElEREREREREysmTRKBoUeAw\nYGvgB8BSwMLA42bz1ZCqBF5JX/cFXmJ+LzZmcDNbBFgRuCEFjAoWAKbnmv8ne+Duo81sHPAX4Gwi\n22qiuz/TmDm0RwowiYiIiIiIiEg5+drd3wMwsz2BMcAZxHI3gO2Bj3L3zEmfa8gssatFdZE2C2a+\nXjR93pvvB6vm5Y6LLXu7jqjLdDaxPO7GeubTISjAJCIiIiIiIiJlyd1rzOxMYBgRZJoDLF9HRtB4\n4Ne5c+vnjj8jCoRnrUmq0+TuU8zsY2Ald7+9CdO+DTjHzA4mMqpuakIf7Y4CTCIiIiIiIiKdyNcz\nPmhvY90NnAsMAc4DLky7yT0HLAZsCHzp7jcDVxG7uZ0DXA+sTSxXyxb5/jdwmZkdDdwLbJs+ZmTa\nnAxcYmZfAiOIWlDrEDvRXVjXZN19mpndB5wDjHD3j5vz4NsLBZhEREREREREOo8xE165aGBrj9mI\ntjXkdnxz93lmdhlRqHtZIgPpWKJO0nRih7kzU9sPzex3xM5uBxFL3I4Dbsj095aZDUnnTwTuIQJX\n+2TaXG9mXwNHEcGtWcBY4KLcXGtzA7BbdtyOTgEmERERERERkc6jChjd1pOojbsPruX82URNI4BL\n0kdtfTwMPFw4NrPNirS5Grg6d/qsXJvbgaJL5Nx9ItC1tjkAPwY+Bx6oo02HogCTiIiIiIiIiEgJ\nmFl3YBngGOBqd5/bxlNqNV3aegIiIiIiIiIiIi2sruVspTSUKDT+MbmMqI5OGUwiIiIiIiIi0mG5\n+0jqXs5WyrFOAU5pjbHKjTKYRERERERERESkWRRgEhERERERERGRZlGASUREREREREREmqVkASYz\nqyxVXyIiIiIiIiIi0n40OsBkZnuY2UGZ49XN7B1gtpk9ZWZLl3SGIiIiIiIiIiJS1pqSwXQk82/v\ndykwBzgU6E0n24ZPRERERERERKSzW6AJ9/QBxgGY2VLAxsCv3P1RM/sUOL900xMRERERERGREqoE\n+rfymGOAqlYes1ZmNgxYzN13bOu5dCRNCTBVA93S15sBc4En0/Fk4IeN7dDMNgGOAtYisqB2dPcH\ncm1OA/YGFgeeA/Z393cy1xciglt/SPMbAQxx908zbZYkMq52SI/jXuAQd5+VabMccGV6bF8BNwHH\nuvu8xj4uERERERERkTLT/0d/vnJUZe++rTJY1Sfj+fyW/QcCoxvSPgV/9kiHc4k4w0PAUHefWaJp\n1TD/yiwpgaYEmMYCQ8zsQ+Bg4El3n5OuLQt8WuudtVsYeBW4HriP3A/azIYCBxFPsonA6cAIM1st\nM/aFwPbAzsAM4LLU10aZrm4DegJbEVHbG4FrgN3TOF2Bh4GPgQ2AZYCbgW+B45vwuERERERERETK\nSmXvvnTrs3ZbT6M2NcCjwGBgQWAdIvGjkkg6KYWK9CEl1JQA07FEEOZ1IpDzi8y1nYBRje3Q3YcD\nwwHMbL5rZlZB1Hc63d3/lc7tAUwBfgvcaWaLAXsCu7r7yNRmMDDezNZz95fMrC+wDbCOu7+S2hwE\nPGJmR7j7ZGBroC+whbt/Bow1sxOBs83sZHef29jHJiIiIiIiIiINVgHMyaxG+sjMHgfWAzCzLsBQ\nYB+gF+BEvODezPVrgc3T9UnAFe5+SW0DmtlIIpmmmkhsqQKOA+4CLgd2JGIQB6X4hRTR6CLf7v4c\nsBwwEOjj7tk0t+sofabPCkTW0eOZOcwAXiKyjADWJiKb2TYTiCfS+unUBsD0QnApeYJ4Aq2XaTM2\nBZcKHgN6AP1K9HhEREREREREpHb/yy4ys9WBnwMvp1PHAn8C9gVWI1Yz3ZpK70DEOT4kVjf1BU4D\nzjSz39cz5l+IFVnrEqV1rgbuAZ4GBhCxgVvMrHtzH1xH1ZQMJoDFiGDMLqn2UUEFkc52cHMnltEr\nfZ6SOz+FCDwV2lSlwFO+Ta9Mm/mW77n7XDObmmtTbJzCtTH1TbZLlwq6dFGmXal07dplvs+dSake\nc9euXVhggdJ+H7N9SvvQks+nzvj7KdIetMTvaPTV/JIVLf06otdQKaX28hpaVVXFG2+83ux+Vl99\nDSorK0swo+L0uyQNtIOZzSRiFt2I0jX7m1k3IsC0pbu/lNpONLONiYDT02nl0SmZvj4ws58DuwB3\n1zHma+5+JoCZnQUcA0x29+vTudOA/YE1aMLKrc6g0QEmM9sFuJUIJn3K/JXgWyLAVJuWiuI0q98l\nl1yEigoFmEqtR4/OFyQu1WPu0aM7SyyxSIv1Ke1DS/7sO+Pvp0h7Usrf0ejr65L005KvI3oNlVJq\nL6+ho0e/yR9vepPmFG6u+mQ8jxzUnXXXXbdk88rT75I00JNEMGdR4DCinM0PgKWIGs6P58rrVAL/\nW61kZgcQZXSWBbqn66/WMV4NUQYIAHevNrMvsuf4LmFl6SY9ok6gKRlMZwL/BP7q7l+WeD7FTE6f\nezJ/dlFPvnsCTQYqzaxHLoupZ+b+yeSeCGa2ALBkrk3+X9OemWv1mjp1ljKYSqhr1y706NGdGTNm\nM29edVtPp1XNmDG7ZP1MmzarxfqU9qElfvad+fdTpD1oid/R9vI6otdQKaX28ho6Y8bskhRubo+/\nn9Ihfe3u7wGY2Z7EaqIziLI8EBt8fZS7Z05q/0fgXOBw4AVgJnA035XGqc23ueOa7Dl3r0lBLaXO\n1aIpAaalgGtaKbgE8D4R3NmKKLqFmfUgakBdntq8TPzgtyJ2jsPMViFqRb2Q2rwALG5ma2XqMG1B\nPDkKqXXPA8eZ2VKZOky/AL4E3mzIZKura6iu1m6HpTZvXjVz53au/8CW6o+N7PeuJfqU9qElf/Z6\nPoiUt1L+jsa/Jc1/I62l/93Qa6iUUnt5De3Mv5/SsaXAzpnAMCLINAdY3t2fqeWWDYHn3f2qwgkz\nW5lSrPGWOjUlwPR/ROHsJ0o1CTNbBPhp5tSKZrYm8IW7f2hmFwEnmNnbwETgdCJaeT+Au39pZtcD\nF6SaSjOJolzPu/uo1Ga8mQ0HrjWz/YgUucuA29MOchBFu94kCncdDfROY13u7vlopoiIiIiIiEi7\nU/XJ+PY21t1EVtIQ4DzgwrRb3HNEjegNgS/d/WZiV7k/m9nWRPzgz8A6RPJKbSpouTI8nUZTAkz7\nA/ekoNDjwPR8g9xObQ2xLrHGEiKqeEH6ehiwp7ufk8a7BlgceAbY1t2z9Z8OI3aEu5coAjacePJl\n7U4ElQq7x91Dpl5UWme5A3AlkfE0K83hpEY+HhEREREREZFyNObzW/Yf2NpjNqJtDblsI3efZ2aX\nAUOJukqfEcW+VyRiEi8T5Xwgdn8bANyZ+vkHcAWwbR1jfG9MabymBJgWJbJ/jkkfeTVA18Z06O4j\nqWcdo7ufDJxcx/U5wIHpo7Y204ggU13jTAJ+WVcbERERERERkXaqChjd1pOojbsPruX82cDZ6fCS\n9FGsXRVR4HvP3KXjahvD3Tcv0s8KRc6p/lIdmhJgugn4CXAQ8Dbz7yInIiIiIiIiIiKdTFMCTOsA\nu7v7P0s9GRERERERERERaX+akt71Dk0LTImIiIiIiIiISAfUlADTEcSObn1LPRkREREREREREWl/\nmpKJdAHQG3jDzD4iKrZXEMW9K4Aad/9Z6aYoIiIiIiIiIiLlrCkBppf5LphUjLb2ExERERERERHp\nRBodYHL3QS0wDxERERERERERaaeaUoNJRERERERERETkfxRgEhERERERERGRZmlKDSYRERERERER\naZ8qgf6tPOYYoKqVx5RWpgCTiIiIiIiISOfRn6POGMXyK7XOaB+8C+eeMBAY3ZjbzKwXcCywPfAT\n4EvgHeBW4CZ3n13qqTaGmQ0D9kiHc4GpwFjgdmCYu39vAzQzGwH8Ahjo7v8pcv3nwAnA+kB34G3g\nRuBid69ugYdRUgowiYiIiIiIiHQmy68Eq67R1rOolZmtCDxHBG2OBV4H5gA/A/4K/Bd4qMh9C7j7\n3FaaZg3wKDAY6Ar0BLYDLgZ2NrNfu/u8zNyWA7YERgF7AvMFmMxsR+Au4HrgGGA6EYw6B9gA2KWF\nH0+zKcAkIiIiIiIiIuXkCmJJ3Tq5TKWJwIOFAzOrBoYQWU5bEMGY08zsN8DJQF/gY+Am4G+FgI+Z\nLQ6cB/wa6EYEew5z97Hp+inAb4ALgNOBxYlg0j7u/lUavgKocvdP0/EnwGtm9iLwBDCICBYVDAae\nB04D7jazw939mzTeIsC1wP3uvl/mnuvNbArwoJnt4u53NeJ72OoUYBIRkSapqqpi9Og3mTFjNvPm\nNT1jt1+/NaisrCzhzERERESkvTKzHxKZO8c2cBncKcBQ4GBgnpltTASUDgKeAVYGrkltT0uf7wZm\nAdsSS+/2A54wM3P3aanNSkQAantgSSK76BhiCVut3P3fZjYG2IkUYDKzCiLAdKK7P25mU4GdieV+\nAFunMc4r0t9DZubArmkOZUsBJhERaZI33nidA47+Jwv3WL7JfXw94wMuOQsGDFi7hDMTERERkXZs\nZSI7aEL2pJl9TmQbAVzu7sekr29z95sy7W4EznL3W9KpiWZ2EnA2kd20EbAusLS7FwqPH2VmvyWC\nPtemc12AQe4+K/V7C7HErc4AUzIByK5B3AroQQS2AG4A9uK7AJOlz+Pr6M9quVY2FGASEZEmW7jH\n8vRYouxf60RERESk/VuHqHV0G7ETXkG+WHZ/4Odmlg0EdQW6mVn3dH1R4Auz+f6OXQhYMXM8sRBc\nSiYDSzdwrhVANsV/T+COwpI4YBhwspmt4O7v5+6rzfeKhpcbBZhEREREREREpFy8QwRTVgUeKJx0\n94kAZpZfNjcrd7wIcBJwX5G+vyGCS58Amxa5Pj3z9be5azVEVlND9AXeT/NdEtgRWMDM9sm06UJk\nMZ0AeDq3GvBCLf290cCx24wCTCIiIiIiIiJSFtz9CzP7P+BAM7vU3b/ONakrywfgFWBVd3+v2EUz\nexnoBcxz9w+aOd3vZRWZ2RbA6sD56dTuwIdE0fCsbYAjzOxE4DFix7wjiGV62f5+TSwbPL6Zc21x\nCjCJiIiIiIiIdCYfvFvuYw0BngP+k3Z0e51YcrYusAowuo57TwMeMrNJwL3pvv5AP3cvFNl+Abjf\nzI4G3gaWAX4J3OfuLzdinguZWU8ittKTKBp+DPAv4ObUZi/gbnd/M3ujmX0EnAVs5+6PmNm+wB1m\ndjVwGTCTqPl0Trr/bsqcAkwiIiIiIiIinccYzj1hYKuP2Qju/p6ZDQCOI4IwPwHmAOOAc4Er6rj3\nMTPbgVgmN5RY6jYeuC7TbHvgb8CNwFJEfaWn0meIzKR8dlL+XA0RUPoEmAtMA14DDioUHTeztYli\n33sVmeeXZvYEUZ/pEXe/18w2JzKVniFqQjlwBnBRbY+3nCjAJCIiIiIiItJ5VFF3BlBZcPfJwMHp\no7Y2RWsiuftjxLKz2u77CjgkfRS7fipwau7cxcDFmePBwODaHwGkbKiudVz/Ze74WWC7uvosZw0t\nUCUiIiIiIiIiIlKUAkwiIiIiIiIiItIsCjCJiIiIiIiIiEizKMAkIiIiIiIiIiLNogCTiIiIiIiI\niIg0iwJMIiIiIiIiIiLSLAowiYiIiIiIiIhIsyjAJCIiIiIiIiIizaIAk4iIiIiIiIiINMsCbT0B\nEREREREREWk1lUD/Vh5zDFDVymPOx8wGARe6+xJtOY+GMrNTgN+4+4Bm9jMMWMzdd6yjzUjgVXc/\nrDljKcAkIiIiIiIi0nn05887j6J3z9YZ7ZMpcMs9A4HRjb3VzDYAngMecfcdGnHfROACd78kc/oO\n4KHGzqGB4zVpnq3kIKCinjY16aNZFGASERERERER6Ux694Q+y7b1LBpiLyIwtY2Z9Xb3Txp4Xw25\noIq7fwN8U+L5FTR1nk1mZpXuXm9WmLvPbOm5FCjAJCIiHVpVVRXjxr3e7H769VuDysrKEsxIRERE\nROpjZosCuwC/BU4DBgFnZa7/CjgJWB34CnjG3XdKy72WBy40swuBGnfvml0iZ2YGvAX0dfcJmT4P\nAw5w95XT8erAucBGwCzgMeAwd/+iEfPcDHgS2Ao4B+gLvAYMdnfPtDsGOAzoDtwFfJ77fgwDFgP+\nAxwAzAZWMrM1gIuB9YGvgXuBw919Vva+whI5M1sEuBLYEZgJnFfrD6GRFGASEZEObdy419nm8edg\n+ZWa3skH7zICGDBg7ZLNS0RERETqtAswxd2fNLNlgRNIgRsz+yVwH3AG8CdgQWC7dN+ORM2nq4Fr\ni3Xs7m5m/wF2J4JUBbsDt6UxFicCQ9cAhwALA2cTwZ8tGzLPnDOIANLnwFXADUTgCjPbBTgZGAI8\nC+wBHAy8m+tjS+DLwvgpWDSCWJ63DtATuA64DBic7skvfzsX2Bj4NfAZcCawFvBqse9VYyjAJCIi\nHd/yK8Gqa7T1LERERESk4fYigjAQQZ2LzWxTd38KOB643d1PzbR/A8Ddp5nZPGCmu39aR/+3AQeS\nAkwpq2ktYLd0/UDgFXc/oXCDme0FTDKzn7r72w2YZ9bx7v5M6ufvwMOZZW6HAte5+42p7YlmthXQ\nLdfHV8De7j439bNParOHu88G3jSzA4F/mdnR7v4ZsVSwIrVfFNgT2N3d/53O/QX4bx3fpwbrUopO\nRERERERERERKwcxWAdYFhgGk4MkdRDAHYhe8J5o5zJ1AHzNbLx3vDrycWbbWH9jczGYWPoDxRDbQ\nig2cZ9bYzNeT0+el0+dVgZdy7V/g+8W5Xy8El5K+wGtp3ILniVjPKkXmsBKxi+D/xnL3acCEIm0b\nrV1kMKXt+U7KnX7L3VfLtDkN2BtYnEgP29/d38lcXwg4H/gDEeEbAQzJRjTNbEngUmAHoJpYu3hI\nYe2iiIiIiIiIiLS4vYh4xaRILAIi2PJNytCZXduNDeXuk83sSSJj6aX0+fJMk0WAB4GhRW4vBIhq\nm+ccMzvQ3Wdk7vk283VhyVpdST/Fdn77uoHtGqsUfbSrDKY3gF6Zj40KF8xsKLH13r7AekTxrRFm\nlk0nu5AIHO0MbAosQ6zZzLqNiABuldpuQqy3FBEREREREZEWZmYLEDWIDieyiP6/vXuPj6q88zj+\nSaJBMKZgqyC7oAj8lFJFpIv3Wtd6qXXt2roWq+sF9VUraxVd8bJWBatUvFWrdhVxxctqUdSq26qr\nLdUVLyiKcQB/iAhULipGQ7gYbvvHcyIn4yQkmTOZmcz3/XrNi8yZ5zznOWSenJnfeZ7fE38sBU4g\njAb6XgvVNAAVrTjcA8BPzGw/oB9h9FGjmYQE4gvd/f20x+ottHNJ1M7WmkNI0h23L01zJ2UyGxhi\nZt1i2w4gDJjJNCppPiHQ9eWxzKwHMLANbW1WUYxgimzINH/SzMoI8xWvcvcno20nA8sJWdx/b2Zf\nI8wzPMHdp0VlTgPmmNk+7v6qmQ0CjgC+7e4zozLnAH80swvcfVn6sUVERERERESKztLlhXysowkz\nkya5+8r4C2Y2lTBq6ELgeTObT5jqthXwfXefEBX9ADjYzH4PNLh7kxXZYh4lrKh2O/DntO/9twFn\nAg+a2QSgFhhAmBV1RivbeUcrz/lm4J4o8fh0wnS9bwLvb2G/B4CxwORo5teOhFlZ90b5l5pw93oz\nmwRcZ2YrCEm+ryYEpLJWTAGmgWb2IbCWMBfxEndfTIgy9gSeayzo7nVm9iqwH+HNNoyQVT5e5l0z\nW0SI3DWW/awxuBR5nvAfvQ/whxyem4iIiBSBhoYGUqmarOsZPHgPKisrE2iRiIhIm83ivkeGd/gx\nW28k8L/pQZvIVEJwaQXwL8AvgYuBOiCeVPtyQnBnPiHnUONopiYjgqKAy5NRXSPTXltqZgcQVo57\nlpBqZyHwJ3ffaGZbbKeZfSvTcdO3ufsUM+sPTAC2AR4hBL4OTyuf3v41ZnYEIUA1gzCF7hHCqKrm\n9rsQqAKeJPy/3QBUZ2hfmxVLgOkV4BTCEK/ehOX7Xox+Wb2iMulh0eWEwBNRmYa0+Y+NZXrFyjQZ\nIeXu683s01gZERERKWGpVA0PnfIovSv7truOJQ2LGDEZhg4dlmDLREREWq2BEIwoSO5+TAuvzWBz\nsOgd4LFmyr0K7JW27R6iZNxp20cAI5qp5z3gx1m2k7Sfcfe3MmwbD4xPq+ri2OunNXOsd4BDW2jL\naWnPVxGm9p0c23xDc/u3RVEEmNz96djTd6LRSQuB44G5zeyWSJKqtiovL6O8PC+H7pQqKsqb/FtK\nkjrniopyttoq2f/HeJ1SHHLxu0/qb12u309630uSKirK6V3Zl35ds0tV0BHvp1xcQ0NdW0oH0bp6\niq3f629J6crl+0n9M7t61JdECktRBJjSufvnZuaEJfb+Em3uSdNRTD0JSbkgZHivNLPqtFFMPdmc\n/X0Zm5cIBL5MLrZ9rMwWbb/9tpSVKcCUtOrqrvluQodL6pyrq7vSo8e2OatTikMufvdVVdskXmcu\n6H0vSSrG91OS19BQV6YFbNpeT7H1+2L83Usycvm7V//Mrh71JZHCUpQBJjOrImQ5v9fdF5jZMkIG\n+bej16uB4WxeYvANQqb07xGtHGdmuwF9CfmciP7tbmZ7x/Iw/SNhpb1XW9u2Tz9dpRFMCaqoKKe6\nuit1dWvYsCGRvGNFo64u65U3v6yntnZVzuqU4pCL3319/drE68wFve8lScX0fsrFNbRYzl/XUElS\nLn736p/J1KO+JFJYiiLAZGbXA08Aiwg5mMYS5o0+GBX5DXCZmc0jZIu/CvgQeBy+HPE0Cbgxyqm0\nkpBZfbq7vxaVmWNmTwMTzewsQiKwW4EH27KC3MaNm9i4MfuhqdLUhg0bWb++tAJMSX3YiP/f5aJO\nSV4ukgjn4nef1N+6XL+fcnHuSvRcuorx72iSxwrnn/2NtGLs98X4u5dk5PJ3r/6ZXT3qSyKFpSgC\nTBKQG6sAABiNSURBVMDfEYJJXycso/cisK+7rwBw9wlmti1wJ2GZwBeBI929IVbHaMKKcFMJ2d+f\nBs5OO86JhKBS4+pxjwC/yNE5iYhkpCTChS+VquGI+2+DnXpuuXBzli7nmZNGNfkdJRG4UtBKRERE\nRPKhKAJM7n5CK8pcQVhdrrnXvwD+LXo0V6aWEGQSEcmrJJIIS47t1BN26ZNolalUDWOeOp/t+rRv\npdiVi+uYwI0KLIqIiIhIhyuKAJOISKHSVClJ2nZ9quk+sEe+myEiIiIi0iYKMImIZCGVqmHuCZez\n29btDwi8u64WHhynUSciIiIiIlK0FGASEcnSblv3YGiXHfLdDBERERERkbxRgElERERERESkdFQC\nQzr4mLMIK8HnlZmdCtzk7q2efmBm04A33X10M6/fA3zN3Y9NoIlFTQEmERERERERkdIxZMg5Q19r\n76IibbVycR2zfvvmcGBGa/cxsx2AccBRQE+glhCkGufu07NozkPAU23cZ1P0aO/rJUMBJhERERER\nEZESUgSLikwlxCtOBt4HegGHAtu3t0Iz28rd1wJrE2nhZmXRo+QpwCQiIiIiIiIiBcHMugMHAge7\n+4vR5sXERkCZ2UbgbOCHwMHAUmCMu0+NXt+FEJgaAYwChgNnmVkZsSlyZnZlVMeNwFVAd+BPwJnu\nXt9M+34APAD83N0fzPB6GXAxcCYhMObAVbG29QBuBQ4DqoC/Ade4+z1t+58qPOX5boCIiIiIiIiI\nSKQ+ehxrZpUtlLsKeBjYkxDwecjMdk8r82vgJmB34Jlm6ukPHEOYjnc0IWB1caaCZvZT4L+Bn2YK\nLkUuBU4CfgZ8Mzr+/Wb2nVi7BwFHRu36OfBJC+dZNDSCSUREpBNraGgglarJup7Bg/egsrKlz3gi\nIiIi2XP39VEy7omEUUczgb8CD7l7/EPNFHe/O/r5cjM7DDiHMGKp0U3u/njjEzPLdMhy4FR3XxWV\nuY8wHe+yWJkyMxsF/Ao4Ojayqgkz6wJcAhzq7q9Gmz8ws4MIAacXgD6EpOEzo9cXNf+/UVwUYBKR\nkqAv2VKqUqkaJk07l179qtpdx7IF9ZzOzQwdOizBlomIiIhk5u6Pmtn/AAcB+wLfB8aY2RnuPjkq\n9nLabi8De6Vte70Vh/ugMbgUWQbsGHteBhwXbdvf3d9ooa4BQDfgubRgViXQGFD6HTDVzPYGngUe\nd/f0cylKCjCJSElIpWpYcN5IBlV1bXcdc+rXwG/u1pdsKTq9+lXRZ1D3fDdDREREpNXc/Qvguejx\nKzObCIwFJjezS6ZE26sybEu3Lu35JpqmE9oEvAkMBU4HWgowNd7ROwr4MO21LwDc/Wkz2zkqcxjw\nvJnd5u4XtqKtBU0BJkmERodIMRhU1ZVh1e0fxQHJLzkhIiIiIiKtMoeQkLvRfsD9sef70nLwJxvv\nARcA08xsg7uf00y52YRA0s7NTaMDcPdPgHuBe83sReA6QAEmEQijQ8aPepIeXfu2u47aNYu45DY0\nOkRERERERCSHVi6uK9hjmdnXCcm7JwE1wErg24QAzB9iRY8zs9eBl4ATozKnJdDkdGVAmbvPM7ND\nCEGm9e4+Or2gu680s+uBm8ysPGrb14ADgM/d/V4zG0eYujcb6AL8U/Rz0VOASRLTo2tfdtxut3w3\nQ0RERERERJo3a9Zv3xze0cdsQ9mVwCvAaMIKb1sDi4E7gWti5a4ARgC3A0uAE9x9buz1Tc3Uvynt\n5/Ry6du+fO7ubmb/yOYg04Xp5d39l2b2MSHZ967AZ4SRVY1t/wIYD+wCrCEk/h7RTFuLigJMIiIi\nIiIiIqWjAZiR70Y0x90bgEujR0uWuPsRzdTxAVCRYfs9wD2x52MJeZ3iZW4Gbo49PyTt9blAr9jz\nr4yacvdbgFuaadvVwNWZXit25VsuIiIiIiIiIiIi0jwFmEREREREREREJCuaIiciIiIiIiIiRcPd\nNVimACnAJCIiIiIiIkWtoaGBVKomqzoGD96DysrKhFokUnoUYBIREREREZGilkrVMOap89muT3W7\n9l+5uI4J3MjQocMSbplI6VCASURERNokibvEoDvFIiKSrO36VNN9YI98N0OkZCnAVOD0IV5ERApN\nKlXD9LfOoP/Abu2uY/681cBdulMsIiIi0kkowFTgUqka5p5wObtt3f5I/LvrauHBcfoQLyIiiek/\nsBuD96zKdzNEREREpEAowFQEdtu6B0O77JDvZoiIiIiIiEjxqwSGdPAxZwENHXxM6WAKMImIiIjk\nkabDi4hIBxty/CV7vtarX8eMRF62oJ4p498eDszokANK3ijAJCIiIpJHqVQN40c9SY+ufdtdR+2a\nRVxyG5oOLyIirdKrXxV9BnXPdzMyMrN7gJOjp+uBZcBTwEXuvjJf7ZItU4BJREREOqViGhnUo2tf\ndtxut5weQ0REpEhsAv4EnAZsDXwbmEyY2ndGHtslW6AAU8LefPONrOvQEHcREZHsaaEMERGRolQG\nfOHuH0XPPzSz54B9AMysC3Ad8BOgGngdGO3urzdWYGYHR2X2BD4lBKguc/cN0evTgLeBjYTRUg3A\npcAU4DbgWGA5cI67P53Dc+1UFGBK2ILzRjKoqmu7959TvwZ+c7c+yOZQMd3RFhGR7GihDBERkaJU\n1viDmX0L2B94Nto0AfgRITC0CBgDPGNmA9y91sz+DvgjcDdwEjAImAisBcbGjnEKcC3wD8AI4A7g\neOBhYBxwPnCfmfV19zU5Os9ORQGmhA2q6sqw6uySpa1NqC2dQUNDAzNmzKaubg0bNmxsVx3pgaBU\nqoYT759L5U6D2t+upXN44CTlugAF7EREREREJHFHm9lKQsyiC3Av8HMz2xY4CzjF3Z8BMLMzgcOA\n04HrgbOBhe5+TlSXm1lvQjApHmB6y92vieoYD1wMLHP3SdG2ccDPgT2A13J5sp2FAkxS0N55p4ZR\nYx6jW/XO7dp/dd1Cbhn/1UBQ5U6D6LJLtsGhTVnu3zmkUjVMmnYu2axCsWxBPadzswJ2IiIikhXd\n+BLpNP5MCO5UAaOBw4HtgF6EvEwvNRZ09/Vm9hqwe7RpEPByWn3TgSoz+3t3/xvhy1xNrI6NZrYi\nvg1onKK3Y1In1dkpwFSCiu3C2616Z6p7WM6PI+2X9CoUxfYeFRERkbbLxfU+larhoVMepXdl+1dl\nXNKwiBGTNVJdJM9Wu/v7AGY2EpgF/Ar4bTPly7bwPJN1ac83xbe5+yYzAyhvTYNFAaaSpAuvFLpU\nqobpb51B/4Hd2l3H/Hmrgbv0HhURESlQuUrE37uyL/26DkyiiSJSAKJAzzXAPcCVhITcBwIPApjZ\n1oQ8SjdGu8wGfpxWzQFAXTR6SXJEAaYSpQuvFLr+A7sxeM/s8pmJiIhIYVMifpH8WLagvtiO9TBh\nVbhfAL8DrjOzT4HFhCTf2wCTorK3A+eZ2W8JK8LtRghM3Rirr4zWjXKSNlCASURERKQTysVCGSIi\n0inMmjL+7eEdfcw2lN1EWsJbd99gZrcCFwF9CNPW7iPkZZoBHOHun0dll5jZUYSA1JnAp8BdhCl2\nzR5DsqcAk4iIiOSdcq8lL1cLZUhyiuV9XyztLCZJBIBB/6fSbg2EoExBcvfTmtl+LWElOIBzo0dz\ndbwA7NPC64dk2NYvwzblX2oDBZhEEqAPXiIi2Umlalhw3kgGVXVtdx1z6tfAb+5WQCRGC2UUtmJZ\niVX9M3nZBoBBQWARKTwKMIkkIJWq4YjnXoKd+7e/koXzeQZ9SBCR0jWoqivDqrPLvbY2obZIxyn1\nmzRJr8SaK+qfyVMAuPCV+t8nkbZSgCkDMxsFXAj0JMwVPcfdC3YIoRSInfvD7nvkuxUiIiJFRTdp\nRKRQFcsoQ5FCoQBTGjP7CXAD8DPgVWA08IyZ7ebuH+e1cSIiIiKdkW7SiBQkjeBJfpSh/k+lM1OA\n6avOB+5098kAZnYW8ANgJJsTiomISA7oQ5eISHb0d1SSpBGGyUulapj+1hn0H9it3XXMn7cauEv/\np1JwFGCKMbNKYG/g6sZt7r7JzJ4D9stbw0RESkQqVcOJ98+lcqdB7a6jYekcHjhJH2RFpDTpy6sk\nTiMME9d/YDcG75ldTjORQqQAU1PfACqA5WnbPwJ2b00Fc+rXZNWAOfVrGFBRzlZbhdUQKyrKSa2r\nzarOd9fVMjitziUNi7Kqc0nDIioqhjeps3ZNdnXWrllERcXQL+sEKC8vY3XdwnbXubpuIRUVezep\ns6KinIals7Nqa8PSOVRUfLPJ+bNwflZ1snA+Fbv3blrn0vS3YhstXU5F2u9+5eK6rKpcubiOir2b\n1rlsQX1WdS5bUE/Frk3rDB9u22/+vNX0Hta0zqT7Z2O9pdpHs+2f8NU+WlGRzEqw6e/7YuifjfVm\n00fT+2djnaXaR0u5f4KuoaV8DU1C+rnrGloc19BS7Z+N9ZbqNVRECpCZ9TazjWa2T9r2CWb2Sr7a\nJSIiIiIiIiJSyDSCqalPgA2E1ePiegJLO745IiIiIiIiIomqBIZ08DFnAQ0dfEzpYAowxbh7g5m9\nAXwPeALAzMqBQ4Fb8tk2ERERERERkQQMueLa/q9lk6utLebPW83Yi+YPB2Z0yAElbxRg+qobgclm\n9jqhA5wHdAX+K6+tEhEREREREUmAEo0HZnYqcJO798h3WzoDBZjSuPsUM9sBGAf0At4EjnT3j/Pb\nMhEREREREZHOL/ad/ChCyppawjS7ce4+PSqzP3AZsC9hUMg8wsCQm919Y6yujcA/u/sTGQ71EPBU\nrOyVwA/dfWgOTqvTU4ApA3e/Dbgt3+0QERERERERKUFTCfGKk4H3CYM/DgW2BzCzY4EpwCTgYuAz\n4DBgArAfcHxrDuLua4G1Cbe9ZCnAJCIiIiIiIiIFwcy6AwcCB7v7i9HmxUQ5nMxsW2Ai8Li7nxXb\ndZKZLQeeMLPj3X1KK451KtEUuejny6PtjSOgTnX3e6M2XQ8cA3QBXgdGu/vb2Z1t51Ke7waIiIiI\niIiIiETqo8exZlaZ4fXDCSOZrk9/wd2fAhwY0Y7jPgTcALxDGDHVizBKCuBh4BvAkcDewEzgeTNT\n7qYYjWASERERERERkYLg7uuj0UQTgbPMbCbwV+Ahd68BLCo6p5kq3o2Vactx15rZKmCDu3/UuN3M\nDgT+AdjR3RuizRea2T8Dx0XtFBRgEhEREREREZEC4u6Pmtn/AAcRknh/HxhjZmfEipW1UMW6BJsz\nBKgCVpg1iVttA+ya4HGKngJM0qmY2S6EJHB7aT6sSO6Z2T3A19z92Hy3RUQCXQtFOo6ZTQPedPfR\nrSh7KloOXaTV3P0L4Lno8SszmwiMBRr72zeBlzPsOgh4K8GmVAFLgYMzvPZ5gscpegowiYhINs4h\ndveoLR+0RaRwKFgs0m6bokdObGF5dZF2mz9vdTEeaw7wQ+AZ4FPgAsIUtS+Z2THAAODf23mMBqAi\nbdsbhHxMG9x9YTvrLQkKMElemFllbP6qiBQZM6sANrr7yny3RUREpJNraRqQSHvMGnvR/OEdfczW\nFjSzrxOSak8CaoCVwLeBC4E/uPtqM/sZ8JCZ3QHcGpU5FJgATM4QlN3VzPZK2+YZDr8A6GdmQ4AP\ngTp3f87MXgYeN7MxwDygN/AD4FF3f6O159bZKcAkHSIa1VADbABOBN42s3OB6whLUK4CniUs9bgi\n2udI4DJgcLTfy8C57v5+rN7hwB3A7oRs/9d0zBmJFD8zOxq4D9je3TdFF92ZwLXufklU5i7CUqzP\nAzcBJwPXEu4MDTSzsUSjHqIREN8BvhP1b4Bd3H2RmX2LFvq7SKkysw8IU2Zujm17C3jM3cdGoxfO\nJtyxPZgwRH+Mu0+NlW/xWmhm5YQEpIcQ7sAuAm5391ui168k9O34sszfdfcXzKwPYUWdw4CNwIuE\na7Hu4ErJiZZG/x1wLOHL7PVpr3cBriasXtWd0B8vcve/tlDnD4ErCFN6lgCTgavdfUP09wHgsSjv\nywfuvuuW9kvkZKWzawBm5LsRLVgJvEKYCtcf2BpYDNxJdI1z96lmdgjwH4RrU3W076Xu/usMdd6Y\n9nwTIb9T+ijEqcCPgL8Q+vGpwL3AUYT+/V/ADsAyQuLxZe0/zc5HASbpSKcAtwP7Az0IX1gnAucC\n3QhfWqcQIs9E264H3ibMe72KcIHdK/oyXAU8RRgi+VNCgrVbOuxsRIrfi8B2wFBCYOlg4BPgu7Ey\n3wF+TbjwdgPGACOBFcBHNL0o/wIYSAgmXx5t+8TMugN/JnwoaK6/i5SqTNNr0rddBVxEmJJ6MuGO\n7R7uPreV18Jywgfz4wh99wDgTjNb6u4PE4K/uxP+HpwW7VNrZltH9b5ECA6vB34JPG1me7p7kglU\nRYrBdYQvpMcAHxO+6O4NvBm9fiuhL/2EEPT5EaG/7OHu76VXZmYHEQJD5xCuyQMI10qAcYQRGx8R\nvuA+Tbjh2pr9RIpaNNPl0ujRUrn/IyT/bgzw/gE40czucvdPYuXKW6hmOqE/xY/9LxmOVU/4HHtu\n+muymQJM0pHc3S8GMLPLCHlaLmt80cxOBxaZ2QB3f8/dH43vHL3+EeFOzWzCB+ky4PToD8EcM/t7\nwp0lEdkCd/88GilxCJsDTDcBV5hZN0IgeADh7sxBhLtHZ0fLwwJgZmVEQ/fdvc7MGoDVaUu7/hsw\ns6X+nuNTFSl2U9z97ujny83sMMIXy1G04lro7uuBK2P1LTSz/YHjgYfdfZWZrQW6pPXdk4Aydz8z\ntm0kUEsIRP9v4mcqUqCiYO5I4ER3/0u07RTgb9HPfQmBoL7uvjTa7YZoRP5phFEW6a4Axrv7fdHz\nD8zscsJNmHHu/kk0cumzeN/c0n6JnLBIkXH3L6KRfecRPrc+lucmlSQFmKSjbCIkR2s0BDjEzNLz\nt2wiDIN8z8wGEi6Sw4FvEO7AAvQlBJgGAbPScjm9koO2i3RmfyV8UbyBcDG+hPCl8yDg68ASd58f\n3S1tiAeX2mCL/b2dbRcpFekr5LwMNOaRaNW10MxGEb4c9wG6ApVsHnXRnCHAgAx9twtalllKT39C\nv3m1cYO715rZu9HTbxESA3vaMuZdCKODMxkC7B/deG1UAXQxs23cfW3C+4l0atGqc9fmux2lTAEm\n6UirYj9vCzxBGPKfrnEe65OEJGtnEIYZVxDmslfGyirpoUh2pgEjo0SG69z93Shn2ncJI5imxcqu\naecxWtPfRUrVRr56LavMVDCmjKZT6Fq8FprZCMLUnvMJwamVhOmu+6QVTZ+qV0W4OfTTDNU294VZ\npNQ09r8qwhS2vaN/4+qb2XdbwpTyRzO89kULx2zvfiIiOaUAk+TLTODHwMJMyQijlQOMMOT/pWjb\ngWnFZgMnmVmXKFoNsG8O2yzSGf0fIe/KaDYHk6YRRjJ1Jy2BaSs08NVrS4v9XaTEfUxYiQYAM6sG\ndkkrsx9wf+z5vmweFdyaa+EBwHR3/8/YcQbQNKCUqe++QRjR+LFWjBRhPrCO0L8eATCzHoTcg38h\njAisAHpGeWFaYyawe3wBmwzW8dUl01uzn4hIh1OASTrKl3laIrcBZwIPmtkEQj6HAYSkiKdHz1cA\nPzOz5YRpcemrAfw3IZP/RDP7NeED+b/n8BxEOp1oeH8NYXXHUdHmFwhLw25FmELXFh8A+5jZzoRR\niytoub+f4e4bm6lLpBT8GTjVzJ4EPidMDU8PxB5nZq8Tkm2fSEj825iMuzXXQgf+1cwOJ/TRf43q\nWBArswA43MLcnk+Bz4AHiJaEjvK7fAjsTFhBa4K7f5jVmYsUEXevN7NJwHVmtoIQHL6aMAoRd59n\nZg8A95rZBcBbhJWmDiVMY/1jhmrHAU+Z2SLCylUbCdPfBrv7L6MyHwDfi5ZI/8Lda1u5n4hIh2sp\nm7pIkpqsiBMlPzyAcEfmWcJKcTcBte6+KfrCOQIYRliR6gbSPjC7+yrgn4A9CHdyriIM+U8f4i8i\nLZtGuB5MgxB0AlLAUnefFyuXqW+lr3Z1PeHL8WxgOdBnC/1dwSUpdeMJgdynCFPDHyOMlIi7gnBN\nnAWcBJzg7nOh1dfCOwhTaX5PyM/Ug7Cqa7zMROBd4HVC393f3dcQVpJcFO0/G7iLkFOmLuszFyk+\nFxJWbXuScD17gaY5Rk8jLGd+AzCX0J+HAQtjZeKfh58FjgYOB14jTGE9lxBUanQBcBihH77Rhv1E\nREREREREAjPbaGbH5LsdIiIiIluiEUwiIiIiIiIiIpIVBZhERERERERERERERERERERERERERERE\nRERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERE\nRERERERERERERERERERERERERESkgP0/8VQRAEo4QjwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106d2c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "benchmark_plot('Balanced ORM Benchmark',table_titles[8:12],20000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def details_plot(index, color='#607D8B', value_func = max):\n",
    "    pp.figure(figsize=(12,2.5))\n",
    "    row = result_table.iloc[:,[0,index+1]]\n",
    "    \n",
    "    rows = len(result_table.index)\n",
    "    pp.axis((0,rows,0,value_func(row[table_titles[index]])))\n",
    "    \n",
    "    pp.title(table_titles[index])\n",
    "    pp.bar([j for j in range(len(row))], row[table_titles[index]], color = color)\n",
    "    pp.xticks([i+0.4 for i in range(len(row))],[k for k in row['name']])\n",
    "    pp.ylabel('ms')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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N3Ax8s3qPuyLiJODYiFgK3E25n/2FmfmLqszVEXE28PmI2B/YAPg0cEZmjqvnfnBwDYOD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\n36z6+8CqV2gD4H6UnrOjhnn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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110e30910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PcA3wp6rMBVWZ7YDHAldVZa4C5kXETrXr7l9AuTTh6vFUdOnSFV3Rcz8wsAnLl69kzZrB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\neyk9wK27Wvwr8I6IOIWyfW9HaRSozxv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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110e30f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JfcvAwEadrsKMY0ybZTybZ0ybZTybZ0yb1+sx7fX6T4WBgY2YP3/j9Xq+1lrf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\nlfT07a1qx/PDI+LkzGxP2MY7+b4WeEp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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110968290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MuyK4B/4APB1YH3gdcHZE7DJG+o5E2HPmrMfAQGeD+5bZs9ftdBb6jmXarH4oz37Yh6bN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\nSZIkSVKD/n8+w0GlLQqVYAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110c971d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SJEmS1ONM/iVJkiRJ6nEm/5IkSZIk9TiTf0mSJEmSepzJvyRJkiRJPc7kX5Ik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\n2PZh4D7KfnEssB3lsz6q6tj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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106c87d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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A5wF7AY8C84GTM3O00ZWWJEmSJGkj64YRAD8HTgJ2AV4MfAv4ekTsDBARJwHH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\ncPwfiqhPBVin+P8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110ce97d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GKEzIyMhqRkbWKQTrzapVI6xc2R878oZiTJtlPJtnTJtlPJtnTJtlPJvXCzHt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\njDFm0vF/5LXWCkb2mmAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110600210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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G8M8BpkbEtLbe/5nVa600a9e3ExFTgOm1NCOaO3d+T/T8T5u2OvPmLWDRov6u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\nkiRJkiRJPeP/A+IdOgZZZUnOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106f2090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9ewHXUmb5Pw+4GHhb68XMHAR2A5ZRRgqcBZwBHNHYlkqSJEmSNMW6ouc/My9i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\nte/zo1n1uPaO6ly0ood0nPt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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1106f4fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HZObiWsxLgVOBVwD3Aydn5heayIUkSZIkSZ3SDT0Ingr8Ejigej5YHxkRhwMHAh8EtgIW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\n+rwz6aiTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110982050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3Zea9DddHkiRJkiQ1bDw/ajgPuNDEX5IkSZKkqWE8yf//A/ZruiKSJEmSJGly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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d71290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BvyRJkiRJLWfwL0mSJElSyxn8S5IkSZLUcgb/kiRJkiS1nMG/JEmSJEktZ/AvSZIkSVLL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\n73c+VNfRfSmtrS+nVA4cGRG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74VrKueRrtWnbMv6xfg2wZ0Q8unYcvZhSCTlSa/5NlOBl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\ny9i1VzHbpAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110e119d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(result_table.index)+1):\n",
    "    details_plot(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MTAMDs5kzZ+LtOQMDfdUWNC2MabOMZ/OMabOMZ/OMafMmE1PjOZR1tHnGtFnG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\nJEmSJEmSJEmSpD73/wFcDfk/mhLw6AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110fa7c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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grdd9YfWaJmBwcAXLli3vaH4NZUybZTybZ0yb1Wk8e0V//ywGBuYxOLiC1avX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\n91VBf04ZJn/KOOab6L1TrQT8S7VpLwZ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110da9350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JzWlFj/sInAOcCdwAbAIcBfwoIrbLzGWUofNLMnNR13q3A/NH8gEzZvQxY0Zfg1kevZkz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\nWvuMJwA3AzOAjTL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2pbzv6irbR9P/XHtj10iNhYy8TPoow2k79qEEcZ1rjFOAwyJi48y8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110cf8cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NgAuAvTPz+ikuriRJkiRJjZkOLe3bA8cA2wIvBh4C/CQi1mnNEBEHAPsBe1Xz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\nuX9QWmj2oLQg70FpRf7HRAu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tWr/PdtX7b6McUz5H2Wa/Q0lg6yedXmwNHSpeKyhJxDsp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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d6b510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ter76m2iZtslM+Hxnwj40ze99syzP5s2kdhSm/2c83fM/GfzeN28iZWp5DmQ7On31PHCn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\nkQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110f97d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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jVeZGYIuI2LXW+LAvMJ1yT75Gae3adaxZM/aLuF6/AJwIxrRZxrN5xrRZ441n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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110f6c690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/BmzXtiyA26q/b6Uk53sD1wJExADwHODUqsxVwKNVmfOqMtsCWwCXT13VZ67B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\n5bP4aGY+dqFSjaK4DlhBSV6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1VvHWxff+lBZyaEuoq6HxnwSOjoiT6s+t+SLlhHbYCI9N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\nAACAHvwH8J1RN9sDHzAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d8b990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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enWeZdpbl2XmWaWdZnp1nmXbeSMrU8lya+2jnjbRMh6rrA3tKcL4DJbB/PCJa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\n8yjnmYcovdHeSelB9Ct696Y7mPIayb/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d7f050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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bHQn8F3Ae8GPKEP9XTcY6SJIkSZI0UXqhx57M/B7wvVHKHAccN8LzDwKHVf8k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\nbU35xYPxaF1TtezK4PUYKenuxA2Uber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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110987d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JkiR1OYN7SZIkSZK6nMG9JEmSJEldzuBekiRJkqQuZ3AvSZIkSVKXm97pDETEPsDewOOq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\nSu/aD6vXf4uIzarvObWW7uh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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1109d83d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PAM6uylwD/Lkqc1FVZmdgR+DKyVZkeHgdw8PrpjQRTVq7dpg1a3p7Ad1UVrCN\nMd35akxHMp7NM6bNMp7Nmwv7x7penx6X0Q253jdvOjFdu3aYRdtsx4O236HhWvWuXt/utJtr0zOe\nqSTobwb+NSJ+mpk3NV2hUVwMnBQRdwA/o3TFPx44DyAz10XEB6oytwC3UZ57/5tqXDLznog4Dzgj\nIpYD9wJnAVdk5tWzMA2SJEmSJM2IqST2ZwAPBn4aEb+h3BW/j3LTvD5gXWb+TXNV5HhgiNL6vhj4\nLfAx4NRWgcx8f3WX/nOArYDvA8/JzNVt3zMMXAhsDlwCHN1gPSVJkiRJmnVTSeyvYX0SP5pG+6pn\n5krgLdXfeOVOAU4Z5/P7gGOrP0mSJEmS5oSNTuwz8/AZqIckSZIkSZqCTefBfpIkSZIkzUGzeXf7\nnnfdddd09Pe76bENu+22+5x6xqUkSZIk9SoT+41w6tkf9TmXlGdcnnzMUeyxR+8/41KSJEmSep2J\n/UbwOZeSJEmSpG7jNfaSJEmSJPUwE3tJkiRJknqYib0kSZIkST3MxF6SJEmSpB5mYi9JkiRJUg8z\nsZckSZIkqYf1xOPuIuKvgPcBzwEeANwKHJGZ19TKnAq8GtgK+AFwVGbeWvt8C+B04BBgc+BS4OjM\nXDZb0yFJkiRJUtO6vsU+IhZREvX7KIn9rsCbgBW1MicAxwGvBfYGVgKXRsTmta86EzgQOBjYD9ge\nuGgWJkGSJEmSpBnTCy32JwC/zsxX1Yb9uvVPRPQBbwROy8yvVsMOA5YCLwK+EBFbAkcCL8/My6sy\nRwA3RcTemXnVrEyJJEmSJEkN6/oWe+AFwDUR8e8RsTQiro2IV9c+fziwGLisNSAzh4CrgH2qQXsB\nm7WVuRm4vVZGkiRJkqSe0wuJ/U7AUcDNwLOAjwIfqlrlAbarXpe2jbeUkvC3yqyuEv6xykiSJEmS\n1HN6oSt+P3B1Zp5Uvf9JRDwaeB3wyXHG65vxmm3CBgb6mTdv6ueFBgZ64ZzS7DKmzTKezTOmzTKe\nzZtuTLtFa972+jzu9frPBNf75k0npsZzQ25He1cvJPa/BX7WNuznwEuq/5dUr4sZ2Wq/GLi2VmZ+\nRAy2tdovro2vjTA4uIBFixZOa3yNZEybZTybZ0ybZTybN92Ydpten8e9Xv+Z4HrfvOnE1HhuyO1o\n7+qFxP4HwC5twwK4rfr/V5Tk/ADgeoCIGASeAJxdlbkG+HNV5qKqzM7AjsCVM1f1uWtoaBUrVqyc\n1vgayZiXoMkEAAAgAElEQVQ2y3g2z5g2y3g2b7ox7RYDA/0MDi5gaGgVa9cOd7o6U+YyuiHX++ZN\nJ6bGc0NuR3tXLyT2ZwJXRMTbgX+nJOx/X/2Rmesi4gPASRFxCyXhPw34DXBxVeaeiDgPOCMilgP3\nAmcBV2Tm1bM8PXPC2rXDrFkz9ZVkU1nBNoYxbZbxbJ4xbZbxbN50Y9pten16XEY35HrfvOnE1Hhu\nqNe3O+3m2vSMp+svOsjMHwMHAS8HbgDeCbwhMz9XK/N+SqJ+DnA18ADgOZm5uvZVxwNfAy4Evkvp\n4v/i2ZgGSZIkSZJmSi+02JOZXwe+PkGZU4BTxvn8PuDY6k+SJEmSpDmh61vsJUmSJEnS2EzsJUmS\nJEnqYSb2kiRJkiT1MBN7SZIkSZJ6mIm9JEmSJEk9rCfuii9JkjTTVq9ezY033tDpajAw0M/g4AKG\nhlZ19Dnbu+22O/Pnz+/Y70uSJs/EXpIkCbjxxhs49eyPsmib7TpdlY5bcecSTj7mKPbYY69OV0WS\nNAkm9pIkSZVF22zHg7bfodPVkCRpo3iNvSRJkiRJPczEXpIkSZKkHmZiL0mSJElSDzOxlyRJkiSp\nh/XczfMi4kTgvcAHM/P42vBTgVcDWwE/AI7KzFtrn28BnA4cAmwOXAocnZnLZrH6kiRJkiQ1qqda\n7CPi8cBrgOuBdbXhJwDHAa8F9gZWApdGxOa10c8EDgQOBvYDtgcump2aS5IkSZI0M3omsY+IBwKf\nprTKr6gN7wPeCJyWmV/NzBuAwyiJ+4uqMlsCRwLHZ+blmXktcATwpIjYe3anRJIkSZKk5vRMYg+c\nDXwtM78D9NWGPxxYDFzWGpCZQ8BVwD7VoL2AzdrK3AzcXisjSZIkSVLP6Ylr7CPiZcBjgcdXg9bV\nPt6uel3aNtpSSsLfKrO6SvjHKiNJkiRJUs/p+sQ+InYAPggckJmrq8F9jGy1H81En2saBgb6mTdv\n6h0+BgZ6qbPI7DCmzTKezTOmzTKezTOmzTKezTOmzZtOTI3nhqa7jHaL1rzdlOZx1yf2lG702wDX\nRkRr2ADw1Ig4BtilGraYka32i4Frq/+XAPMjYrCt1X5x9Zk20uDgAhYtWjit8TWSMW2W8WyeMW2W\n8WyeMW2W8WyeMW3edGJqPDc03WW022xK87gXEvvLgEfX3vcB5wM3Ae8DfkVJzg+g3C2fiBgEnkC5\nLh/gGuDPVZmLqjI7AzsCV874FMxBQ0OrWLFi5bTG10jGtFnGs3nGtFnGs3nGtFnGs3nGtHnTianx\n3NB0l9FuMTDQz+DgAoaGVrF27XCnqzMruj6xz8w/AD+rD4uIPwLLM/Nn1fsPACdFxC3AbcBpwG+A\ni6vvuCcizgPOiIjlwL3AWcAVmXn1bE3LXLJ27TBr1kx9JdlUVrCNYUybZTybZ0ybZTybZ0ybZTyb\nZ0ybN52YGs8NTXcZ7TZzbXrG0/WJ/RjWUbuBXma+PyIWAucAWwHfB55TuyYf4HhgGLgQ2By4BDh6\n1mosSZIkSdIM6MnEPjOfNsqwU4BTxhnnPuDY6k+SJEmSpDlh07lNoCRJkiRJc5CJvSRJkiRJPczE\nXpIkSZKkHmZiL0mSJElSDzOxlyRJkiSph5nYS5IkSZLUw0zsJUmSJEnqYSb2kiRJkiT1MBN7SZIk\nSZJ6mIm9JEmSJEk9zMRekiRJkqQeZmIvSZIkSVIPm9fpCkwkIt4OvBjYGVgFXAGckJnZVu5U4NXA\nVsAPgKMy89ba51sApwOHAJsDlwJHZ+ay2ZgOSZIkSZJmQi+02O8LnAXsDTwT2Az4VkQ8oFUgIk4A\njgNeW5VbCVwaEZvXvudM4EDgYGA/YHvgotmYAEmSJEmSZkrXt9hn5nPr7yPicGAZsCfw3xHRB7wR\nOC0zv1qVOQxYCrwI+EJEbAkcCbw8My+vyhwB3BQRe2fmVbM0OZIkSZIkNarrE/tRbFW9Lq9eHw4s\nBi5rFcjMoYi4CtgH+AKwF6Wlv17m5oi4vSpjYi9JkiRJ07B69WpuvPGGTleDgYF+BgcXMDS0irVr\nhztal91225358+fP+O/0VGIfEf3AB4D/zsyfVYO3q16XthVfSkn4W2VWZ+bQOGUkSZIkSVN04403\ncOrZH2XRNttNXHgTsOLOJZx8zFHsscdeM/5bPZXYA2cDfw08ZRJl+2a4Lpu0gYF+5s2b+i0aBgZ6\n4fYOs8uYNst4Ns+YNst4Ns+YNst4Ns+YNm86MTWeG2piGV20zXY8aPsdGqxVb5tuTCerZxL7iPgw\n8Dxg38z8be2jJdXrYka22i8Grq2VmR8Rg22t9otr42sjDA4uYNGihdMaXyMZ02YZz+YZ02YZz+YZ\n02YZz+YZ0+ZNJ6bGc0Muo82bbkwnq+sT++rmeGcBLwT2z8xftxX5FSU5PwC4vhpnEHgCpYUf4Brg\nz1WZi6oyOwM7AlfO8CTMSUNDq1ixYuW0xtdIxrRZxrN5xrRZxrN5xrRZxrN5xrR504mp8dyQy2jz\nphvTyer6xJ6SnL+cktivjIjWBRt3Z+afMnNdRHwAOCkibgFuA04DfgNcDJCZ90TEecAZEbEcuJdy\nsuCKzLx6didnbli7dpg1a6Z+I4pO38SiGxnTZhnP5hnTZhnP5hnTZhnP5hnT5k0npsZzQy6jzZtu\nTCerFxL71wHrgMvbhh8OfBIgM98fEQuBcyh3zf8+8JzMXF0rfzwwDFwIbA5cAhw9kxWXJEmSJGmm\ndX1in5mTutNAZp4CnDLO5/cBx1Z/kiRJkiTNCd4KUpIkSZKkHmZiL0mSJElSDzOxlyRJkiSph5nY\nS5IkSZLUw0zsJUmSJEnqYSb2kiRJkiT1MBN7SZIkSZJ6mIm9JEmSJEk9zMRekiRJkqQeZmIvSZIk\nSVIPM7GXJEmSJKmHmdhLkiRJktTD5nW6ArMtIo4B3gosBn4CHJeZP+psrSRJkiRJmppNqsU+Ig4B\nTgdOAfagJPaXRsQ2Ha2YJEmSJElTtEkl9sCbgHMy8xOZ+XPgdcAfgSM7Wy1JkiRJkqZmk0nsI2I+\nsCdwWWtYZq6r3u/TqXpJkiRJkjQdm9I19g8CBoClbcOXAbtM5gtW3Lmk6Tr1pBV3LmFgoJ9586Z+\nXmhgoN941hjTZhnP5hnTZhnP5hnTZhnP5hnT5k03psZzJJfR5jURU7WJiO0jYjgi9m4b/v6I+GGn\n6iVJkiRJ0nRsSqcOfg+spdwNv24x8LvZr44kSZIkSdO3yST2mbkauAY4oDUsIvqBZwBXdqpekiRJ\nkiRNx6Z0jT3AGcAnIuLHwI+ANwILgPM7WitJkiRJkqZooNMVmE133XXXjX/5l395N3AS8BZgHXBo\nZt7S2ZpJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJkiRJktSLIuJdEXFdp+uhTU9EHB4R\nKzpdD0mdEREXRMSXO10Pdbde21c0dVw1mfUjIi6PiDOn+1tTNZV5M1Gd3S5IM2dTe479jImIHYB3\nA88GHgT8DrgYODUzl1dlLgf2rUZZDfwG+AJwcmauqco8DPglMAzsmJm/rf3Gg4E7gH7gYZl5e638\nYzPz+lGq9i/AB2vfcQGwZWYe1MBkT1lEbAOcCjwPWAysAH5CidcVnaxbS0Q8ifJoxCcCC4BbgPOB\nD2bmcK3ccG20lcAvgDMz8xO1MocDHwd+npl/3fY7f0tZDn6dmQ+fmam5/7cuAA6r3q4BlgPXA58D\nLsjMdVW524Adq3LDwFLgm8BbMvPuqsz+wHdG+Zl/zMyTZ2YKuk9bTOsemZm/nOXq9KxRls0lwNeA\nEzLz3k7Va66apXivq/56SkRsB7ydsn96CHAPcCvwaeATmbmqg9Wb9Ha8bZxLgWcCT8jMH4/y+aT2\nd7Xy+wA/AL6RmQduRN1vA87IzA/VBn+esuw1bqr1nCXHAX0TlJnUOjSDx1RTmTcT1bkntwvjcf/V\nW6pj8jMzc1Gn69K0/k5XYC6IiJ2AHwOPAF5Wvb4OeAZwZUS0Fpx1wDnAdsCjgNOAtwAnjvK1/8uG\nycIrq+GT3iBm5srM7MYz4RcCj6FM46OAFwCXA1t3sE5ExPzq9SDgu8DtwP7AzpQTJCdRdnTtDqfM\n1z2B/wLOj4intpVZCWwTEU9sG/6q6ndmY0e3jpKgbwc8FHgOpb4fBL4WEQO1cv9QldsBOJRyUupD\n7V8IRFWu9fe+Gax/N6rHtP53W71Qa9nqNhExEBETHVzOhnocH0456H0F0LHWqsmKiF48ST4b8e5j\n4sSlq1T78+uAAyjJ/WMpye77gQMp+/XRxpvNZWCy2/FW3Xak1Ptq4Mj2L5vC/g7KfutHwLOrRoeN\nqfuIZSIz/5SZv9+I79gYU63nlE12W5+Z92bmUEM/2/gxVUTMm6F503PbhUno2f1XN4mIbSLioxHx\n64j4U0T8LiIuqU48tso8KSK+ERHLI2JVRFwfEcdHRH/bdw1HxAvG+KnPU9aTVtk507u5Fw9GutHZ\nwJ+AZ2XmfdWw/60Wkl8A7wGOpmzI/piZy6oyF0TEscATRvnOTwJHAP9cG3Y48AlKwjUpEfEu4IWZ\nuUf1/2HV8NYZ+P0z83tVj4PTKWf0h4HvA2/IzF9P9rc2ok5bAU8B9svM71eD76DsfOu9Fu7vhVCN\ns7xV32rYC6o6/xXljPyngAuArTJzKCK2psybpwKLKPPivZl5/4FK1YviBmAtJXm9PiKeD5wLXJyZ\nr6tV/byIWAr8R0S8NDO/WPvs7mq+LouIfwDeADyeEseWNcBnKQdWP6x+/yHAfpSN/8s3KpBT0wes\nri2DvwP+JyJ+CHybsoydV312b71cRHyScuKq3bLJHpxExFGUk1kPAX5Fad3/dPXZvwI7Z+bzq/dv\nBM4AnpuZl1bDbqXMw49vxDTPtD7gvlqsgPu7I45YtoBnRMSjKT1pnkI52fMt4PjMvKsar49ysu/v\nKQcJCZyWmRdWn1/A6D0EWuvy5pRtzsuArYCfUloNvluNfzhleTuMchLmUZSTkbc3EYxpaI/jbyLi\nMmBvgGqnfQJjxKUq8zzgA5Tl64eU7ejHWb9NeBfV9rA2zhsp27qH14a9Gngz8DDKCZoPZeZHq88e\nRtk+vQw4hrL9fnNE/BNwZFt9XkRp5V2cmSunH6JGTSve1efnAk+rPr8d+EhbS+wI1fb2eso+5jBK\nz7V3AF+kbKsPovQOOi4zL2lwWjfGR6p6Pa6tZf424D9ab6p96NGUFtKnUxL/UyPihcApwK7Abyn7\n7Pdk5tpqvK2Af6UkXptTGgWOr+3r3gW8kLLtO42yDn8T+PvM/EP18xuzHYdyLHEFpUX33yPiTZn5\np+r3FrKR+7uIeCDwUuBF1XceDvxT7fPnAycDjwb+AHw/M19czf+HAmdWXbXXZeZAvfUsIgL4ObBr\nZt5c+87jgWMy85HV+3G3o5Os5/6UXmcHUObfrsD/AEdkZtbKnQgcT+nJ8EVgRKLb6glJmZfHAKuA\nR0TE7pQTJE8E/khJvt/U2ha096Cs5sVHKevBvZTlZEITHVNVZVrL6wspxxy/A95WW58fxobbtddV\n+6P7WzYnuXy21+//AJ8BjsrMz43y+UT7vEXAhynHpw+kNHC9NzMvmEx8ZslE29PNKcvrIcAg69f7\n+3vPRMR+VZm/oRzvfgI4qbbtuJzu335O14WU3PQwyvK4HeWk5NZw/0nIL1K2bycCd1OWi/cD+1DW\n9wlV278/NVz3rmCL/TRVyeOzKAc099U/y8yllI3ZIbXBfdV4fVWL7i7AtaN89X8AiyLiyVX5p1CS\n069Oo7r/Qlkh6q2LV0bEZsCllO6GTwGeRNkZX1J91rQ/VH8HTbUVMyIeDnwJuIhylvrfgPcystV7\nC8qO7XnAbpTeEp+KiMe3fd0rKSv4kyg9LZ5N2YhssFPNzK9RdjrtSXhrvs4DXl3VY7T5ej7w0ojY\nonp/OGV+LJ1gkmdUZv4Xpdte/RKN+8+oR8RfAc+nOiHRZlJn3qsN8gcoy+FuwP+j9GzYvypyOfCU\nWuvxfpQDqP1rddipKtdtxorBiGWrOgD7DnANsBelpW0xZb1seQfwd8Brgb+mJOGfjojWZTyvZ/36\n+2BKL4qllINhKAdAe1O2O7sD/05Zlx9Z+40HAG+jnGT6a+DOqUz0DKgvc4+mxO2aatDbGScu1cnJ\ni4CvsH6b8M9sZE+YiDiUclnV2ynb53cAp0VE+8mUf67qsEv1u5+nJFB1RwD/3oVJfcuU4005frgD\nOJiSEJ0KvDfKpUXjeSWwjHLi8yzKduBLwPeAPSgJ2qciYsF0J25jRcRfUg4Sz55kd/t3UQ5EH836\nXlqfoMRqV0rsDgfeWRvn3ymX6z2H0sPrWuDbsb5nH5QTbS+g7LsOpGwLR+vZN0JtO/7i2jT1UZbD\nczPzMkrCcHBttGex8fu7lwJLM/M7lJMC9/cCqJK4iyjdkB9LOfFzZfXxQZSkrNUbbIMW9Cqh/jHl\nZGjdoZTjKSa5HR23nm3+kZK4P45yAv7+E8cR8VLKiZoTq9/6HXAUG25XnkE5SfoM4MAqSb8UuKv6\n3r+lnED4cG2c9i7p/0JpiHgBZb7sT1lGJjLZY6rTKMvf31Bi+fmI2KWtTH27dukY3zPp5TMiXkFp\n0HjFaEl9ZaJ93mmU9ek5Vb2Oou3kSpcYb3v6fsp6eRhlnt4KXNpa76vjm28AV1Hmz1GU3iYntf1G\n124/p6t2guqEzPxuZt6RmT/KzH/OzK+1n4TMzOsz8/bMPI8Sl4Or9XUyv3X/vSOqE4snA4+J0so/\n3NrfR8RWEfFvEbEsIu6JiG9HxN/MwOQ3xhb76XsUZWW+aYzPf05J0Lep3h9dtQbNBzajtJidOsp4\nf6a09BxJaY0+ktIi/eepVjQzV0bEn4DN662LEfF3QF9m/n1t2JGUa7T2B/5zqr85Rj3WVCvSuZRk\n51pKN8DPZ+YNk/ya1wI3ZeYJ1ftbqg3p/QdQWe5PcEZtnA9HxLMpO/sf1YZnZt6/U4qI1kHRWPP0\nZkr387rPRcRayhn9+4CXZebl7SNm5v9ExC+Bv42IT1M2RscDj2wv2wE3Uw5QoSzT74uIfwQGKCdJ\nfkhpxWz3v6WR5X47jnH5x1uA8zPzY9X7M6NclvAWSrL+38BfAHtE6e3yVMrOsHWyYX/gN1163fqB\nEVG/ju6blAO29mXrJODazDypNuxVwO1V4n0HJaF6RmZeVRW5rUoYXgt8r+odMVSN+2LgNVX5ZVG6\n3B5OmQe/q8Y/PSKeQzm4b60fmwFHb8T6NltacZxHac38JHBU1doxblwoB0K3ZOZbq89vqVrMTmDj\nvJvSqnZx9f7XEbFb9TufrJU7s1aGiPg34IqI2C4zl0TEtsBzGaPrdpeYcryz3BfmXbXv+nWU7pIv\npSQPY/mfzHwvQJReDicCS6qDMyLiVMq83J3SdXw2PZKy7bu5PjAifk+JD5Skv7VOfyZH3kvlfOCf\nMvNT1aDbIuJkqv18dYL+8cC2mbm6KvPWKD07DqbsE6GcNDm81rL7Kcpy1H6QP5qbKbFrOYDSQtia\nJx+nJAyfblW7et2Y/d2rWJ/8fhH4YETsV/UKeifwucx8d638TwEyc0W1n6z3BhvNZ4BjKQfbRNnB\n7Enp2kz12Vjb0Udl5i2TqGfdO1st3RHxz8DXI2J+NY/eCPxbZp5flf2HiDiA9ctDyx+AV+f6+yX9\nfVXmsOok0c+i9ND8akS8LTPvpNYlPUrvgiOBQ6sTNERE6/LLcW3EMdUXa73dTo6IZ1K6jB9TK9O+\nXRvtJyezfPZFxDGUkyYH1noSjDDJbfsOwHWZ2Wos6XTvsrGMtT1dSGk0emWu733495STiK+inFQ7\nmnKfpeOq78qI2J6y7aivS928/Zyu+gmqq2rbyJZxT0JGRFJ6nLSf4JvI5ymNTc+mbC+hOsaibDdX\nUk4q3UOZj9+OiBjjOLfjTOybM9nrhT5N6Sa7NWVlPbB6be8Sso6yQ7oiIt5B2ek/kXJCoGmPAR7Z\nlphA2TDtNAO/R2ZeFBFfpyRvT6QcAL+tOunRvtMdzc6MTM5pfx/lOsN3UA40t6fEbnPKStqyjvVn\nVNuNN0/bz9a/EbiMcib7I5SNwFgHtx+nJFl3AAspZ2lfP85vzZY+1k/XOkpSfUE1fEdKj4ivR8S+\nOfJmSk+hdBtsuXuM798F+FjbsCuopj0z746In1BaeNZQupmdSzkgXkhpFbh8KhM2C75D2Zm2/JFy\nI6v2ZesxwNNGWdfWUZadzSmt6Ze1HVDNp60HSETsQTlwOCYzWy1iu1NOxGTb+JszsoVjdRcm9bA+\njg+knPB6FuVkzzZMHJddKa0ddaP1MBlTtZztBHy8StRb5rHhcj3iBmSZ+aOIuJFysu59lBao28Y6\noO0S04k31YH7kZQD7wXV5+Ndp7iOcukTAJk5HBF31YdRWqMAtp3SFM2Mx1HWq88wch/cfhO6xwBP\nqk7gtQwAm1ctaI+hxPqutrhuwch97W1tvTyWMPl49FG66rYcSUnwWscYFwCnRMTDM/NXbeON5f79\nXUTsTDk5cTBAZq6KiM9TEpTvUqbx/02yrmP5AvCvEbF3lewdClxT6x4/3nZ0J8pJvYnqWVe/8fCS\n6nVbSlK9C2WfXnclZT9Vd0Mrqa/sSknC6j0/rqAkxTuzYS+pR1CWrfu3YdWJkJuZhPGOqWonn65s\nG+1KSq+Kug1urDiKiZbPPkrctwWelJljHWNBOZk20bbmo8CFEbEnpUX64to+r5uMtT3djnIy/Qet\ngtXJmKspyxeU5aV9mq4AHhgRD8nM1v21enH7OSmTOEE1lZOQk/ndP0XESmBtW6PnZE/EdhUT++m7\nlbKy/TWlC2i7XYHlmXlntdG6p2px/GWULiO/AN5ESZpGyMyfRsTPKWeTfpaZP4uI9o3wVLQnpQ+k\nJCCvGKXsjHV3qi5duKz6+8eIOJdykqN107n6gUb7JQEb3IBnFG+lJI1voGz4/kjpCt5+pr29m2xr\nR/rXbLihhTJPf9o2bEltvr4CuCoizsvR70b7WUrSfArwyWrjPMGkzIpdKde9t/y+1jr+i4h4AyVR\n2p+Rd8P/VTZ3A6DLq++/D7i8OrC5iXLyYF8mec1hB/yxvSdBNU/bl62FlMtsRmtFXsL6lrbnUZ6a\nUXf/pT5R7tr9H5TutefXyjyQck3/ntVrXf36x47e1Xsc98cxSq+hn1BafFpJ9nhxmcw2YXiUMvVt\nywOr11ez4UmC9niO1r3+3yitX++jnLw7f5Qy3WTK8Y6Il1G6Dr+Jsp28l3J5x94T/GZ7r7N19WGZ\nua5adzpxqWBrf74Ltf15Zt4GEBHt681o6/fJlK7o7f5EWb5+RzlJ2a5+4mi0GE02Hvdvx6NcKngQ\nMK9qIWzpZ30331ayPNn93asox4631/ZbfcCfqhbpaW9bqh4v36Eck1xVvZ5dKzLRdnS8et4XEce2\n7bPq8W4dH40X79G2M3+cZLmNNenvGOeY6hNjjDLad0/msqGJls91lBN8e1Dmw3iJfWubO+a2JjMv\niYiHVmWeSWkxPbvWO6tbjLU9PWuM8u3xn8y87ubt57RN0OjXMl6cptyreRSTPRHbVUzspykz74qI\n/6R0sT+zdla8dfB9KOUMObQl1FXX+A8Ax0fEGfVxaz5O2aEdNcpnU7GaDef7NZRW7Tuzs4/luIly\nU5bWmeztKRtG2PCs8s2UjXxd+7XzT6ac2f0s3H+zp53ZMClv9y3KdYhvZuS1iK0b9j2SkddMjlC1\n3H2L0r3s+aN8vjwi/oNyzd1rJ6jLTBjtUUhPp3TDP30S40312q1Wgv6p2rAnAzfW3n+X0sK0htKd\nHUqy/wrKmdjLp/jb3eJa4CWULnftiSIR8TPKwcxDx+m6uAUl6fgZJamqu47SQrg4M/+7yYrPtuoA\n5b2U7ec/MkFcKMtX+x1w259AcSel9aTusVTLdmYujYjfAo/Isa8HHc9ngPdHxOspCdFYB9RdZwrx\nfjJwRa6/tIYol5P07GOsavvzYyPirMxsT9YmOvC+Ftil/SRfS0RcQ1n+1ub0b0w7me34oZSeYS9s\nK/psyg0f/4GN2N9FuYfMYZTtzrdqRfsoj/d9OaX1+wDGXvZXU7ZRE2mtS5+n3GW8fnf+ibajk6nn\nZHsV3ETZjny6NuyJTLyc/wx4ZUT8//bONcauqgzDz0QSDD9Io2ITNCoInxrjhVASSxWDiVWRWDD+\nkGAjFy1JvcQiIIggwaJmxkuEWB2lEIc0aElHqhEoN2sJgYQxARsb8kHTRtJiNK3WEqLRgj/etZk9\ne/acc5ieudH3Sc6PmbPPXnuvvfZa67sfUxtHy5Bysc0KvxMJJe9DMdNV0riTUcWD6VDtqSqWMvk+\nOgndh8PTaExtjYhDNRfzJl3XPIBUZv4RYCQiHkJKxfkm2L9EYz69Do379yNPPkL5q05jPFx0BxrT\ndZYB/yrW+iOGDgqqNeWQTkrIx/t4KZ0UsQf62E5fsWDfH76IXGa2FBe83SheYwgtqpUQ2FbiYxgl\nkrmAyW7KIFePjXQfRG+PRqkH2gXYXcDykPppP7ISbEAT5OZQPOAelLn2XGAwM5ta1MMilKDoDpTV\ncjuy9CyprqG4xTwKXBkRu1BSnLWN0wwDl4bi4W5Bm/PPMjEZTaJkGkvLfV6K3JPqz2DSM8nM5yPi\nEpRYZhgluzmIYsgGUTKsTjGkIM+A30XEOzKzzW3oApQhdi5idF4dEYvR+78YhQ1ciRIzVjHEA8Cx\nRTk1gFxtB5Gb13Rr4g4BG0Px8w8gpce5TIxB3obiQc9m3BqzFSWo2puZT0+z7bmg7X3/Mcr8e3tE\nDKI8FiehRHefy8yDoeoAPyzv88Mo2/Iy5O0zgsb+G9F4X1zTJO/LzIyIDWjz81W0yB2H+viJzLxr\n5m53RrgDjZvVyFujU7/8FAkrg2huOZXxOaHi9yjXxhVoTH20fOrWu28CN0bEAZQ86mg0Py3KzI6l\ni1JGiqsAAAWPSURBVIqHySh6V7ak8nwsJF5OfyewMiKWozVvJeqnXS3nrVgIZa5Wo/sdC2UA346E\nsdNoDwGrcz0qN/cXNL5eQFafd2bmNZl5f0Q8AtxZxuBTSIH9cWC0i8tyk17m8YvRerWj/sOI2IOy\nw38sM+96Gevd2SgL+vqmESAiNpX2LkcW1Z3Ipf6o0s5gOXQ38MGI+BUKCZrKK3AUuWCvAx7MzL/W\nvus4j/Z4nb0K9j9CFYzG0Np3PhIsuuV62UCxlpdx9HpkuR1JxddPIDOfi4j1wFBxr/47Ctt8oXls\nk257qtqhnyr38XC5jyVMTvjZDwZQ3qanIuJMJNz/LzPXNA/sZc0LxY2PIeH3aLR32NE81zykmk+/\njMbyUETsR3LBFcjyW1WvWAd8JSJuQuP7bUghUM8TtRDmz5mgUlBtobsS8rJpttGmcOynInbWWJCu\nGvONImwsQRP9RqSpHEbCy9LMrFzsmhlQKYLdCIrRpnZc9f2hzNzf0Eq3aYp/ibTY1eePaLFvtvlz\npC0eQ5m0Ty8xYGeghCSjaMK8GU2g/XKxrnMQuXSvQRba7WhD9DOkJAFZbY8q9/EDpByp98tu9GJ/\nEln1L0HhDAOMu+auRX2xBW3o9yJtfb0/Jj2Tcv5NKIbuTahk3ZPIpX8t7SXfmr+/B/Vz3aJav/5/\nN4T61uuYAV5EG8Bn0Qb8bqSN/FJmrsjMeoz99ajP9qDN4kFU0rF53d3aAyAzN6M+vAwpnT6PEvBs\nqx3zT2Tx+VvmS/GUD6Hn2kvuhblgqmfX9r4/izYsr0KWpD+hDMD/yJK3IDOvQVmAr0Lv4t3IHa3a\nSJ6BFpsd6PlUz2hp+f5CNKd8H43bXyMht74wzUeralt/HUKCxiqUrXnKfsnMZ5DF4xyk0FiFcmwM\n1M73JBLcvlCOWYIE2Po4XY+EgwvR89nKeOmd+rVOxS0oPnQ+lWRs47D6G61xo0h4exRVbVlH5/l1\ntua5aVOs7acga9F30Dh5DI2ZITqUm83Me5FQuRwlrnoEzXm7a4edhRSYt6I14nakOK0E17Y+auvH\njvN4RJyKQns2Nc5FZh5A+5OLyt+9rncXAfdN4dm3Cc0z+5A32ieQB9EDTPSmuxaVkdzJxGowzbH4\nHFp3qgzu9e+6zaNdrzOUbHdSu83/pcr8fQspOcbQs/oJXcZ12VdVFXYeQ0LefYzvcdp+dznq/9+W\n+9pGbxb1XvZUIKXlp9Ge6TPAeWVOnHTfDbq9w1O+52Ud/xBwXkQMtR3fw5r3H/QuPlHu77/0sA+b\nZbrNp99AY+829ExPBD5S3sUq2fNZqMzg42iM3cxEo9a8nz8Ph4h4bUQ8GBHnR8S7I+KEUJWVyuj3\nPNrrr4iI4Yh4V0S8JZQ481bgF5n5m8ZpT4yI9zY+x7Q0vws4ISLeExGvCyXPvB/N4XdGxIdLW6dH\nxA1lfp2XHImaH/MKJSKuBlZl5pvn+lqMMXNPjNepXpT9ywPRrc2VSKlyfE5MpmWMMXNCqI79OS2C\njzHzglCpxuuQYvStKP/NM8hg+u3iol8ltbsaGTOOLT//emZ+t3G+Nm+XF1H8/smoAsRram1vQJ5K\ni5DRaSRUreIGZDQ4Dilg/wBc1W9v5n5hwd4sWCJiNdKE70Pa+xuBmzLz2jm9MGPMvGA2BftQ1vPj\nUVKv0WKFMsaYOceCvXklEiqXuBl4A3Bmh9CeIwa74puFzEnItf7PSHv3PSbWVTbGmNlyXfwaigXc\ni9xGjTHGGDNDFCv+CpQU8gNdDjfGGGOMMcYYY4wxxhhjjDHGGGOMMcYYY4wxxhhjjDHGGGOMMcYY\nY4wxxhhjjDHGGGOMMcYYY4wxxhhjjDHGGGOMMcYYY4wxxhhjjDHGGGOMMcYYY4wxxhhjjDHGGGOM\nMcYYY3rg/1iA4TJS+AmYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d1fbd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import statistics\n",
    "for i in range(len(result_table.index)+1):\n",
    "    details_plot(i,value_func = statistics.median)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>simple read</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>SQLite</td>\n",
       "      <td>50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>GreenDAO</td>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Requery</td>\n",
       "      <td>87</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>DBFlow</td>\n",
       "      <td>97</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Room</td>\n",
       "      <td>131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>ORMLite</td>\n",
       "      <td>151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Realm</td>\n",
       "      <td>151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>SugarORM</td>\n",
       "      <td>245</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Freezer</td>\n",
       "      <td>248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>ActiveAndroid</td>\n",
       "      <td>3123</td>\n",
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       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Sprinkles</td>\n",
       "      <td>5766</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             name  simple read\n",
       "10         SQLite           50\n",
       "6        GreenDAO           81\n",
       "4         Requery           87\n",
       "2          DBFlow           97\n",
       "9            Room          131\n",
       "0         ORMLite          151\n",
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       "1        SugarORM          245\n",
       "3         Freezer          248\n",
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       "             name  simple write\n",
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     "execution_count": 14,
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