RiotAnalysis1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# data seeded from master tier player games\n",
    "# so most if not all matches here are high elo\n",
    "data = pd.read_pickle(\"D:/JSON/Data/ALL40000aggregated.pkl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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>mapId</th>\n",
       "      <th>matchCreation</th>\n",
       "      <th>matchDuration</th>\n",
       "      <th>matchId</th>\n",
       "      <th>matchMode</th>\n",
       "      <th>matchType</th>\n",
       "      <th>matchVersion</th>\n",
       "      <th>participants</th>\n",
       "      <th>queueType</th>\n",
       "      <th>region</th>\n",
       "      <th>season</th>\n",
       "      <th>teams</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487265e+12</td>\n",
       "      <td>1434.0</td>\n",
       "      <td>3.063428e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 3,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487263e+12</td>\n",
       "      <td>1546.0</td>\n",
       "      <td>3.063379e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 11, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487260e+12</td>\n",
       "      <td>1896.0</td>\n",
       "      <td>3.063318e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487257e+12</td>\n",
       "      <td>1570.0</td>\n",
       "      <td>3.063276e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 14, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487255e+12</td>\n",
       "      <td>1176.0</td>\n",
       "      <td>3.063230e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 14, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487253e+12</td>\n",
       "      <td>1227.0</td>\n",
       "      <td>3.063202e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487202e+12</td>\n",
       "      <td>1450.0</td>\n",
       "      <td>3.062507e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487200e+12</td>\n",
       "      <td>1259.0</td>\n",
       "      <td>3.062512e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 14...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487197e+12</td>\n",
       "      <td>1768.0</td>\n",
       "      <td>3.062483e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 3, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487193e+12</td>\n",
       "      <td>2054.0</td>\n",
       "      <td>3.062379e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487191e+12</td>\n",
       "      <td>2126.0</td>\n",
       "      <td>3.062297e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 3,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487175e+12</td>\n",
       "      <td>2242.0</td>\n",
       "      <td>3.061608e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 21, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487170e+12</td>\n",
       "      <td>2745.0</td>\n",
       "      <td>3.061479e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 3,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487115e+12</td>\n",
       "      <td>1212.0</td>\n",
       "      <td>3.060736e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487112e+12</td>\n",
       "      <td>2009.0</td>\n",
       "      <td>3.060697e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 11, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487109e+12</td>\n",
       "      <td>1725.0</td>\n",
       "      <td>3.060628e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487106e+12</td>\n",
       "      <td>2072.0</td>\n",
       "      <td>3.060248e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487101e+12</td>\n",
       "      <td>1786.0</td>\n",
       "      <td>3.060136e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487100e+12</td>\n",
       "      <td>1066.0</td>\n",
       "      <td>3.060070e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 3, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487087e+12</td>\n",
       "      <td>1893.0</td>\n",
       "      <td>3.059439e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487084e+12</td>\n",
       "      <td>2630.0</td>\n",
       "      <td>3.059387e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487032e+12</td>\n",
       "      <td>1459.0</td>\n",
       "      <td>3.058716e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 12...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487031e+12</td>\n",
       "      <td>736.0</td>\n",
       "      <td>3.058695e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 6, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487017e+12</td>\n",
       "      <td>1326.0</td>\n",
       "      <td>3.058419e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 12...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487013e+12</td>\n",
       "      <td>2299.0</td>\n",
       "      <td>3.058306e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.487010e+12</td>\n",
       "      <td>1877.0</td>\n",
       "      <td>3.058230e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486949e+12</td>\n",
       "      <td>851.0</td>\n",
       "      <td>3.057647e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486946e+12</td>\n",
       "      <td>2097.0</td>\n",
       "      <td>3.057642e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486942e+12</td>\n",
       "      <td>2254.0</td>\n",
       "      <td>3.057575e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486940e+12</td>\n",
       "      <td>1785.0</td>\n",
       "      <td>3.057546e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>EUW</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39970</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.484429e+12</td>\n",
       "      <td>1847.0</td>\n",
       "      <td>2.399376e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.1.171.6847</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39971</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.484426e+12</td>\n",
       "      <td>1539.0</td>\n",
       "      <td>2.399360e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.1.171.6847</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 14...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39972</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.484422e+12</td>\n",
       "      <td>2159.0</td>\n",
       "      <td>2.399322e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.1.171.6847</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 14, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39973</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.484379e+12</td>\n",
       "      <td>1751.0</td>\n",
       "      <td>2.399076e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.1.171.6847</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39974</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.484362e+12</td>\n",
       "      <td>2077.0</td>\n",
       "      <td>2.398856e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.1.171.6847</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39975</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.484360e+12</td>\n",
       "      <td>1362.0</td>\n",
       "      <td>2.398833e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.1.171.6847</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39976</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.484357e+12</td>\n",
       "      <td>1792.0</td>\n",
       "      <td>2.398796e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.1.171.6847</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 6,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39977</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486952e+12</td>\n",
       "      <td>1537.0</td>\n",
       "      <td>2.423752e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 11, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39978</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486937e+12</td>\n",
       "      <td>1866.0</td>\n",
       "      <td>2.423506e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 11, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39979</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486917e+12</td>\n",
       "      <td>1914.0</td>\n",
       "      <td>2.423278e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 6, 'spell1Id': 12...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39980</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486893e+12</td>\n",
       "      <td>1684.0</td>\n",
       "      <td>2.423212e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 12...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39981</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486890e+12</td>\n",
       "      <td>1439.0</td>\n",
       "      <td>2.423199e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39982</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486888e+12</td>\n",
       "      <td>1746.0</td>\n",
       "      <td>2.423175e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39983</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486885e+12</td>\n",
       "      <td>1901.0</td>\n",
       "      <td>2.423130e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39984</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486882e+12</td>\n",
       "      <td>2050.0</td>\n",
       "      <td>2.423123e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39985</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486773e+12</td>\n",
       "      <td>1750.0</td>\n",
       "      <td>2.421578e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 3, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39986</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486771e+12</td>\n",
       "      <td>1954.0</td>\n",
       "      <td>2.421580e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39987</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486769e+12</td>\n",
       "      <td>945.0</td>\n",
       "      <td>2.421546e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39988</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486767e+12</td>\n",
       "      <td>1555.0</td>\n",
       "      <td>2.421540e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 3, 'spell1Id': 4,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39989</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486607e+12</td>\n",
       "      <td>2435.0</td>\n",
       "      <td>2.420022e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.3.175.271</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 11, 'spell1Id': 6...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39990</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486507e+12</td>\n",
       "      <td>1476.0</td>\n",
       "      <td>2.418904e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 3,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39991</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486438e+12</td>\n",
       "      <td>2206.0</td>\n",
       "      <td>2.418508e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 14...</td>\n",
       "      <td>RANKED_FLEX_SR</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39992</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486353e+12</td>\n",
       "      <td>1740.0</td>\n",
       "      <td>2.417666e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...</td>\n",
       "      <td>RANKED_FLEX_SR</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39993</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486337e+12</td>\n",
       "      <td>1434.0</td>\n",
       "      <td>2.417495e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 21...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39994</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486334e+12</td>\n",
       "      <td>1786.0</td>\n",
       "      <td>2.417448e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39995</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486329e+12</td>\n",
       "      <td>1227.0</td>\n",
       "      <td>2.417398e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39996</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486326e+12</td>\n",
       "      <td>2466.0</td>\n",
       "      <td>2.417392e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39997</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486323e+12</td>\n",
       "      <td>2600.0</td>\n",
       "      <td>2.417344e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 6, 'spell1Id': 11...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39998</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486317e+12</td>\n",
       "      <td>1880.0</td>\n",
       "      <td>2.417266e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 14, 'spell1Id': 4...</td>\n",
       "      <td>TEAM_BUILDER_RANKED_SOLO</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39999</th>\n",
       "      <td>11.0</td>\n",
       "      <td>1.486176e+12</td>\n",
       "      <td>1690.0</td>\n",
       "      <td>2.415788e+09</td>\n",
       "      <td>CLASSIC</td>\n",
       "      <td>MATCHED_GAME</td>\n",
       "      <td>7.2.174.829</td>\n",
       "      <td>[{'teamId': 100, 'spell2Id': 4, 'spell1Id': 14...</td>\n",
       "      <td>RANKED_FLEX_SR</td>\n",
       "      <td>NA</td>\n",
       "      <td>PRESEASON2017</td>\n",
       "      <td>[{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>40000 rows × 12 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       mapId  matchCreation  matchDuration       matchId matchMode  \\\n",
       "0       11.0   1.487265e+12         1434.0  3.063428e+09   CLASSIC   \n",
       "1       11.0   1.487263e+12         1546.0  3.063379e+09   CLASSIC   \n",
       "2       11.0   1.487260e+12         1896.0  3.063318e+09   CLASSIC   \n",
       "3       11.0   1.487257e+12         1570.0  3.063276e+09   CLASSIC   \n",
       "4       11.0   1.487255e+12         1176.0  3.063230e+09   CLASSIC   \n",
       "5       11.0   1.487253e+12         1227.0  3.063202e+09   CLASSIC   \n",
       "6       11.0   1.487202e+12         1450.0  3.062507e+09   CLASSIC   \n",
       "7       11.0   1.487200e+12         1259.0  3.062512e+09   CLASSIC   \n",
       "8       11.0   1.487197e+12         1768.0  3.062483e+09   CLASSIC   \n",
       "9       11.0   1.487193e+12         2054.0  3.062379e+09   CLASSIC   \n",
       "10      11.0   1.487191e+12         2126.0  3.062297e+09   CLASSIC   \n",
       "11      11.0   1.487175e+12         2242.0  3.061608e+09   CLASSIC   \n",
       "12      11.0   1.487170e+12         2745.0  3.061479e+09   CLASSIC   \n",
       "13      11.0   1.487115e+12         1212.0  3.060736e+09   CLASSIC   \n",
       "14      11.0   1.487112e+12         2009.0  3.060697e+09   CLASSIC   \n",
       "15      11.0   1.487109e+12         1725.0  3.060628e+09   CLASSIC   \n",
       "16      11.0   1.487106e+12         2072.0  3.060248e+09   CLASSIC   \n",
       "17      11.0   1.487101e+12         1786.0  3.060136e+09   CLASSIC   \n",
       "18      11.0   1.487100e+12         1066.0  3.060070e+09   CLASSIC   \n",
       "19      11.0   1.487087e+12         1893.0  3.059439e+09   CLASSIC   \n",
       "20      11.0   1.487084e+12         2630.0  3.059387e+09   CLASSIC   \n",
       "21      11.0   1.487032e+12         1459.0  3.058716e+09   CLASSIC   \n",
       "22      11.0   1.487031e+12          736.0  3.058695e+09   CLASSIC   \n",
       "23      11.0   1.487017e+12         1326.0  3.058419e+09   CLASSIC   \n",
       "24      11.0   1.487013e+12         2299.0  3.058306e+09   CLASSIC   \n",
       "25      11.0   1.487010e+12         1877.0  3.058230e+09   CLASSIC   \n",
       "26      11.0   1.486949e+12          851.0  3.057647e+09   CLASSIC   \n",
       "27      11.0   1.486946e+12         2097.0  3.057642e+09   CLASSIC   \n",
       "28      11.0   1.486942e+12         2254.0  3.057575e+09   CLASSIC   \n",
       "29      11.0   1.486940e+12         1785.0  3.057546e+09   CLASSIC   \n",
       "...      ...            ...            ...           ...       ...   \n",
       "39970   11.0   1.484429e+12         1847.0  2.399376e+09   CLASSIC   \n",
       "39971   11.0   1.484426e+12         1539.0  2.399360e+09   CLASSIC   \n",
       "39972   11.0   1.484422e+12         2159.0  2.399322e+09   CLASSIC   \n",
       "39973   11.0   1.484379e+12         1751.0  2.399076e+09   CLASSIC   \n",
       "39974   11.0   1.484362e+12         2077.0  2.398856e+09   CLASSIC   \n",
       "39975   11.0   1.484360e+12         1362.0  2.398833e+09   CLASSIC   \n",
       "39976   11.0   1.484357e+12         1792.0  2.398796e+09   CLASSIC   \n",
       "39977   11.0   1.486952e+12         1537.0  2.423752e+09   CLASSIC   \n",
       "39978   11.0   1.486937e+12         1866.0  2.423506e+09   CLASSIC   \n",
       "39979   11.0   1.486917e+12         1914.0  2.423278e+09   CLASSIC   \n",
       "39980   11.0   1.486893e+12         1684.0  2.423212e+09   CLASSIC   \n",
       "39981   11.0   1.486890e+12         1439.0  2.423199e+09   CLASSIC   \n",
       "39982   11.0   1.486888e+12         1746.0  2.423175e+09   CLASSIC   \n",
       "39983   11.0   1.486885e+12         1901.0  2.423130e+09   CLASSIC   \n",
       "39984   11.0   1.486882e+12         2050.0  2.423123e+09   CLASSIC   \n",
       "39985   11.0   1.486773e+12         1750.0  2.421578e+09   CLASSIC   \n",
       "39986   11.0   1.486771e+12         1954.0  2.421580e+09   CLASSIC   \n",
       "39987   11.0   1.486769e+12          945.0  2.421546e+09   CLASSIC   \n",
       "39988   11.0   1.486767e+12         1555.0  2.421540e+09   CLASSIC   \n",
       "39989   11.0   1.486607e+12         2435.0  2.420022e+09   CLASSIC   \n",
       "39990   11.0   1.486507e+12         1476.0  2.418904e+09   CLASSIC   \n",
       "39991   11.0   1.486438e+12         2206.0  2.418508e+09   CLASSIC   \n",
       "39992   11.0   1.486353e+12         1740.0  2.417666e+09   CLASSIC   \n",
       "39993   11.0   1.486337e+12         1434.0  2.417495e+09   CLASSIC   \n",
       "39994   11.0   1.486334e+12         1786.0  2.417448e+09   CLASSIC   \n",
       "39995   11.0   1.486329e+12         1227.0  2.417398e+09   CLASSIC   \n",
       "39996   11.0   1.486326e+12         2466.0  2.417392e+09   CLASSIC   \n",
       "39997   11.0   1.486323e+12         2600.0  2.417344e+09   CLASSIC   \n",
       "39998   11.0   1.486317e+12         1880.0  2.417266e+09   CLASSIC   \n",
       "39999   11.0   1.486176e+12         1690.0  2.415788e+09   CLASSIC   \n",
       "\n",
       "          matchType  matchVersion  \\\n",
       "0      MATCHED_GAME   7.3.175.271   \n",
       "1      MATCHED_GAME   7.3.175.271   \n",
       "2      MATCHED_GAME   7.3.175.271   \n",
       "3      MATCHED_GAME   7.3.175.271   \n",
       "4      MATCHED_GAME   7.3.175.271   \n",
       "5      MATCHED_GAME   7.3.175.271   \n",
       "6      MATCHED_GAME   7.3.175.271   \n",
       "7      MATCHED_GAME   7.3.175.271   \n",
       "8      MATCHED_GAME   7.3.175.271   \n",
       "9      MATCHED_GAME   7.3.175.271   \n",
       "10     MATCHED_GAME   7.3.175.271   \n",
       "11     MATCHED_GAME   7.3.175.271   \n",
       "12     MATCHED_GAME   7.3.175.271   \n",
       "13     MATCHED_GAME   7.3.175.271   \n",
       "14     MATCHED_GAME   7.3.175.271   \n",
       "15     MATCHED_GAME   7.3.175.271   \n",
       "16     MATCHED_GAME   7.3.175.271   \n",
       "17     MATCHED_GAME   7.3.175.271   \n",
       "18     MATCHED_GAME   7.3.175.271   \n",
       "19     MATCHED_GAME   7.3.175.271   \n",
       "20     MATCHED_GAME   7.3.175.271   \n",
       "21     MATCHED_GAME   7.3.175.271   \n",
       "22     MATCHED_GAME   7.3.175.271   \n",
       "23     MATCHED_GAME   7.3.175.271   \n",
       "24     MATCHED_GAME   7.3.175.271   \n",
       "25     MATCHED_GAME   7.3.175.271   \n",
       "26     MATCHED_GAME   7.3.175.271   \n",
       "27     MATCHED_GAME   7.3.175.271   \n",
       "28     MATCHED_GAME   7.3.175.271   \n",
       "29     MATCHED_GAME   7.3.175.271   \n",
       "...             ...           ...   \n",
       "39970  MATCHED_GAME  7.1.171.6847   \n",
       "39971  MATCHED_GAME  7.1.171.6847   \n",
       "39972  MATCHED_GAME  7.1.171.6847   \n",
       "39973  MATCHED_GAME  7.1.171.6847   \n",
       "39974  MATCHED_GAME  7.1.171.6847   \n",
       "39975  MATCHED_GAME  7.1.171.6847   \n",
       "39976  MATCHED_GAME  7.1.171.6847   \n",
       "39977  MATCHED_GAME   7.3.175.271   \n",
       "39978  MATCHED_GAME   7.3.175.271   \n",
       "39979  MATCHED_GAME   7.3.175.271   \n",
       "39980  MATCHED_GAME   7.3.175.271   \n",
       "39981  MATCHED_GAME   7.3.175.271   \n",
       "39982  MATCHED_GAME   7.3.175.271   \n",
       "39983  MATCHED_GAME   7.3.175.271   \n",
       "39984  MATCHED_GAME   7.3.175.271   \n",
       "39985  MATCHED_GAME   7.3.175.271   \n",
       "39986  MATCHED_GAME   7.3.175.271   \n",
       "39987  MATCHED_GAME   7.3.175.271   \n",
       "39988  MATCHED_GAME   7.3.175.271   \n",
       "39989  MATCHED_GAME   7.3.175.271   \n",
       "39990  MATCHED_GAME   7.2.174.829   \n",
       "39991  MATCHED_GAME   7.2.174.829   \n",
       "39992  MATCHED_GAME   7.2.174.829   \n",
       "39993  MATCHED_GAME   7.2.174.829   \n",
       "39994  MATCHED_GAME   7.2.174.829   \n",
       "39995  MATCHED_GAME   7.2.174.829   \n",
       "39996  MATCHED_GAME   7.2.174.829   \n",
       "39997  MATCHED_GAME   7.2.174.829   \n",
       "39998  MATCHED_GAME   7.2.174.829   \n",
       "39999  MATCHED_GAME   7.2.174.829   \n",
       "\n",
       "                                            participants  \\\n",
       "0      [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 3,...   \n",
       "1      [{'teamId': 100, 'spell2Id': 11, 'spell1Id': 4...   \n",
       "2      [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "3      [{'teamId': 100, 'spell2Id': 14, 'spell1Id': 4...   \n",
       "4      [{'teamId': 100, 'spell2Id': 14, 'spell1Id': 4...   \n",
       "5      [{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...   \n",
       "6      [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...   \n",
       "7      [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 14...   \n",
       "8      [{'teamId': 100, 'spell2Id': 3, 'spell1Id': 4,...   \n",
       "9      [{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...   \n",
       "10     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 3,...   \n",
       "11     [{'teamId': 100, 'spell2Id': 21, 'spell1Id': 4...   \n",
       "12     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 3,...   \n",
       "13     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...   \n",
       "14     [{'teamId': 100, 'spell2Id': 11, 'spell1Id': 4...   \n",
       "15     [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "16     [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "17     [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "18     [{'teamId': 100, 'spell2Id': 3, 'spell1Id': 4,...   \n",
       "19     [{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...   \n",
       "20     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...   \n",
       "21     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 12...   \n",
       "22     [{'teamId': 100, 'spell2Id': 6, 'spell1Id': 4,...   \n",
       "23     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 12...   \n",
       "24     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...   \n",
       "25     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...   \n",
       "26     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...   \n",
       "27     [{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...   \n",
       "28     [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "29     [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...   \n",
       "...                                                  ...   \n",
       "39970  [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "39971  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 14...   \n",
       "39972  [{'teamId': 100, 'spell2Id': 14, 'spell1Id': 4...   \n",
       "39973  [{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...   \n",
       "39974  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...   \n",
       "39975  [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "39976  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 6,...   \n",
       "39977  [{'teamId': 100, 'spell2Id': 11, 'spell1Id': 4...   \n",
       "39978  [{'teamId': 100, 'spell2Id': 11, 'spell1Id': 4...   \n",
       "39979  [{'teamId': 100, 'spell2Id': 6, 'spell1Id': 12...   \n",
       "39980  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 12...   \n",
       "39981  [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "39982  [{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...   \n",
       "39983  [{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...   \n",
       "39984  [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "39985  [{'teamId': 100, 'spell2Id': 3, 'spell1Id': 4,...   \n",
       "39986  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...   \n",
       "39987  [{'teamId': 100, 'spell2Id': 7, 'spell1Id': 4,...   \n",
       "39988  [{'teamId': 100, 'spell2Id': 3, 'spell1Id': 4,...   \n",
       "39989  [{'teamId': 100, 'spell2Id': 11, 'spell1Id': 6...   \n",
       "39990  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 3,...   \n",
       "39991  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 14...   \n",
       "39992  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...   \n",
       "39993  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 21...   \n",
       "39994  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 11...   \n",
       "39995  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 7,...   \n",
       "39996  [{'teamId': 100, 'spell2Id': 12, 'spell1Id': 4...   \n",
       "39997  [{'teamId': 100, 'spell2Id': 6, 'spell1Id': 11...   \n",
       "39998  [{'teamId': 100, 'spell2Id': 14, 'spell1Id': 4...   \n",
       "39999  [{'teamId': 100, 'spell2Id': 4, 'spell1Id': 14...   \n",
       "\n",
       "                      queueType region         season  \\\n",
       "0      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "1      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "2      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "3      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "4      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "5      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "6      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "7      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "8      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "9      TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "10     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "11     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "12     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "13     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "14     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "15     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "16     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "17     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "18     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "19     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "20     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "21     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "22     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "23     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "24     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "25     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "26     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "27     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "28     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "29     TEAM_BUILDER_RANKED_SOLO    EUW  PRESEASON2017   \n",
       "...                         ...    ...            ...   \n",
       "39970  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39971  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39972  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39973  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39974  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39975  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39976  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39977  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39978  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39979  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39980  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39981  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39982  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39983  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39984  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39985  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39986  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39987  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39988  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39989  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39990  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39991            RANKED_FLEX_SR     NA  PRESEASON2017   \n",
       "39992            RANKED_FLEX_SR     NA  PRESEASON2017   \n",
       "39993  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39994  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39995  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39996  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39997  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39998  TEAM_BUILDER_RANKED_SOLO     NA  PRESEASON2017   \n",
       "39999            RANKED_FLEX_SR     NA  PRESEASON2017   \n",
       "\n",
       "                                                   teams  \n",
       "0      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "1      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "2      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "3      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "4      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "5      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "6      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "7      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "8      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "9      [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "10     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "11     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "12     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "13     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "14     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "15     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "16     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "17     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "18     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "19     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "20     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "21     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "22     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "23     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "24     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "25     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "26     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "27     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "28     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "29     [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "...                                                  ...  \n",
       "39970  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39971  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39972  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39973  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39974  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39975  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39976  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39977  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39978  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39979  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39980  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39981  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39982  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39983  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39984  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39985  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39986  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39987  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39988  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39989  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39990  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39991  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39992  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39993  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39994  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39995  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39996  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39997  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39998  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "39999  [{'teamId': 100, 'bans': [{'pickTurn': 1, 'cha...  \n",
       "\n",
       "[40000 rows x 12 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['TEAM_BUILDER_RANKED_SOLO', 'RANKED_FLEX_SR', 'RANKED_PREMADE_3x3'], dtype=object)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# the queue types we are considering\n",
    "data.queueType.unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Amir\\Anaconda3\\lib\\site-packages\\statsmodels\\nonparametric\\kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2234826f9b0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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mOj722xfy3jes5/UXrCpX9RZVU6SGWq8N+qKxCtdGRKS6+epB8ULHR4F3WWuf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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2234826f390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(data['matchDuration'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22348717c50>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SVITTKzpsTXSPlIGBHYw0RgofkSQtbIYOHbae6B4py1asYQVr5uDIJGlhMnTosDbRPVIk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\nnncPdA3T27v4R/q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      "text/plain": [
       "<matplotlib.figure.Figure at 0x223486e8eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(data['matchDuration'],kde=False,bins=60)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Amir\\Anaconda3\\lib\\site-packages\\statsmodels\\nonparametric\\kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22349d9cd68>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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EsJRUJlda6rmt0foVBIBAnY0N9Srxf2x/D/m8TKu+1kiCUGG5vMFD+3oAaPQ7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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22349c8db70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# EUW, KR\n",
    "# JP, NA\n",
    "\n",
    "# Here we can see clearly that jp and kr have much higher surrender rates\n",
    "# we can also see that na has longer lasting games\n",
    "\n",
    "fig,axes = plt.subplots(nrows=2,ncols=2)\n",
    "# remove the y ticks\n",
    "for array in axes:\n",
    "    for axis in array:\n",
    "        axis.set_yticks([])\n",
    "[[axis1,axis2],[axis3,axis4]] = axes\n",
    "sns.distplot(data[data['region']=='EUW']['matchDuration'],ax=axis1, kde_kws={\"label\": \"EUW\"})\n",
    "sns.distplot(data[data['region']=='KR']['matchDuration'],ax=axis2, kde_kws={\"label\": \"KR\"})\n",
    "sns.distplot(data[data['region']=='JP']['matchDuration'],ax=axis3, kde_kws={\"label\": \"JP\"})\n",
    "sns.distplot(data[data['region']=='NA']['matchDuration'],ax=axis4, kde_kws={\"label\": \"NA\"})\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#The plots individually, commented out to save space\n",
    "#sns.distplot(data[data['region']=='NA']['matchDuration'])\n",
    "#sns.distplot(data[data['region']=='JP']['matchDuration'])\n",
    "#sns.distplot(data[data['region']=='EUW']['matchDuration'])\n",
    "#sns.distplot(data[data['region']=='KR']['matchDuration'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Amir\\Anaconda3\\lib\\site-packages\\statsmodels\\nonparametric\\kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22349ceb320>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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5KCBIz6me14MQKi6TtoMhB9sKPoBHc/PgX754klcPuv1r+KRSnfeHq0UG54Oh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\nCCHENBIgCCGEEGKa/wGMXoj/+d8/jwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22349c879b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Not very clear, but shows the features on one plot\n",
    "fig, ax = plt.subplots()\n",
    "ax.set_yticks([])\n",
    "sns.distplot(data[data['region']=='EUW']['matchDuration'],ax=ax, kde_kws={\"label\": \"EUW\"})\n",
    "sns.distplot(data[data['region']=='KR']['matchDuration'],ax=ax, kde_kws={\"label\": \"KR\"})\n",
    "sns.distplot(data[data['region']=='JP']['matchDuration'],ax=ax, kde_kws={\"label\": \"JP\"})\n",
    "sns.distplot(data[data['region']=='NA']['matchDuration'],ax=ax, kde_kws={\"label\": \"NA\"})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# get soloQ ranked games that take 20-23 minutes,\n",
    "# these are (to a good approximation) surrendered games\n",
    "surrendered = data[data['queueType']=='TEAM_BUILDER_RANKED_SOLO']\n",
    "surrendered = surrendered.query('1200 <= matchDuration <= 1380')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Amir\\Anaconda3\\lib\\site-packages\\statsmodels\\nonparametric\\kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x22349c6fb70>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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WEZGSoTkhMmt6B2MMRuNA/kMxWUsXVFFe5kxQPXS8b9rbJiIis09FiMyaY5mhGA+47snw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\noFkSkgXqG1tYtr4KgBOmDKUw3+YjG2N6XkFehKs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      "text/plain": [
       "<matplotlib.figure.Figure at 0x22349c267f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Overall distribution of times in surrendered games\n",
    "# Characteristic initial spike (quick surrenders)\n",
    "# flattens off after a minute or so, but still significant\n",
    "# this is seen for each region\n",
    "sns.distplot(surrendered['matchDuration'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Amir\\Anaconda3\\lib\\site-packages\\statsmodels\\nonparametric\\kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2234a518b70>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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V+jCMKDUPjpYTnKjE8CbGE5h4xM0qCcuh5Fpk3ABVz8TFpJcWBtM1NieKrIqU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\n514EgrJw+OjacR7/z+sIOqNagtTAbm7f9wlWJysA1Koue79znLszCR7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PES1QBvAZYNWV\nfl9Jks5P1gxI0rVJXIHjfcuyJuf9PQL8VKMW4oOmaW5srJ52pSgsXASoTrRCqSRJy0wGA5L0Kpmm\nGQA/C/wYcCdRlf07gZuB3yNale1R4CcaF0BM03wX8EvARqIq+13Ar1qWtcs0zX8EfqJxnD9XjW6a\n5q8QrZq3GjhKVL3/mXlJudc0zT8hWhN9GPjflmV97AJO4S+Ax4F7gadM0/wYsNqyrNfPO8d/BNZY\nlvX6ec0Svwv8ClBpvGc/0app9wMpojXaP2BZ1p+bpvkQ8I3Gyx0zTfOniAKYf7QsS2m8RzPwh0RL\nU7c18uT35powGk0dDwBfa+RdG/Ac8LOWZVkXcJ6SJC1BNhNI0uXxh8D/BbYTtcU/QrRM65uBnyRa\novVdAKZpfj/wV43jTeD1QBz4+8Zr/QrwOeBpoip9Gmu/z73HTUTLlH68cZFl3vP+gGhp0/8A/t40\nzXUXkPaXiS7MtzT+vtClTH8ceB3wQ4APPAZMAvcAWxvn8D7TNLcDTwFva7z2ncBn57+XaZoK0UX+\nfuCHgdsa6XrMNM3b573ng0QBwZsbx3YQLYsuSdKrIIMBSbo8PmpZ1lcsyzoMfIKoNuAXLMvab1nW\nF4nWH9/WOHYaeKdlWf9sWdYJy7KeB/6BqCYBy7KKQA1w5lXr/wrwF5ZlfcyyrGOWZf0N0Z25Pi8N\n/6uRhmNENRIK0UX1fPKNn7mLPOcPWJZ10LKsXUQ1Ae8HftGyrEOWZR0F/p/GcTdbluUBM42/p+Zq\nSOZ5E3Ar8F8ty3qy8bo/D7wC/Ma84zTgRy3LeqXxvh8iCgokSXoVZDOBJF0eR+f9XgGwLGtg3rYa\nEGts/45pmptN0/wfwGaipoLtLBGcm6bZStTR7rn52y3Lel9j/5rGpsPz9uVN0wRIXEDa54KA/DmP\nOtuRee83ZZrm3wI/YprmrcAGopqGELiQ0QLbgIJlWQfO2P4E8F3z/h5vBEtzCoBxkemWJOkMsmZA\nki4P90IPNE3zh4GXgHVE1efvAX7tMry2v8i2C+lYeAfRRXvXOY5Z7MahNveLaZqdRHfx76TRV4Do\nTv9CO0IudZzCwvM/s0ZBkqTLQNYMSNLV91vARyzLevfcBtM033rGMfN73RdN0xwhamt/ZN5zPg8M\nAn/9KtPzbmDAsqy5mgcHyJ5xzEageo7X+GGippF1cyMSTNO8ubFv7kJ/rr4ILwE50zS3Wpa1f972\nB4B95z8FSZJeDRkMSNLVdwK4v1GdXgC+j+iCjGmahmVZDlAGuk3T7Lcs6zhRx8E/Mk3zEPAM8D3A\nfwYevoj3VRt38BBV3fcQjYJ4E/CWecc9A/x0owbjaaJREjdzRjPFIueUAt5umuaTRJ0Y/5woAIg1\njikTBQY7TNOcPuP5jwF7gU+bpvnLREMOf4mo+eDnLuIcJUm6BLKZQJJevQvtfT/nF4Fx4FvAs0QX\n4h9r7Luz8fOfiC6ur5im2dXoMPi/iUYLvAL8NPBDlmU9eY40hGds7yWaW2CEqEbhESAD3GdZ1tfn\nHfdJomr+vyLq+NhH1DnwzNc+xbKsfwH+FPgz4ABRIPD3RG3+c+f0MvAVopEE/+2M5wdEkyDtBr4A\nvEA0IuH1lmW9sMi5SZJ0GYkwvNjvMUmSJEmSbiSyZkCSJEmSVjgZDEiSJEnSCieDAUmSJEla4WQw\nIEmSJEkrnAwGJEmSJGmFk8GAJEmSJK1wMhiQJEmSpBVOBgOSJEmStMLJYECSJEmSVjgZDEiSJEnS\nCieDAUmSJEla4f5/C2fipYlXAxAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2234a4cfb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Not very clear, but shows the features on one plot\n",
    "fig, ax = plt.subplots()\n",
    "ax.set_yticks([])\n",
    "sns.distplot(surrendered[surrendered['region']=='EUW']['matchDuration'],ax=ax, kde_kws={\"label\": \"EUW\"})\n",
    "sns.distplot(surrendered[surrendered['region']=='KR']['matchDuration'],ax=ax, kde_kws={\"label\": \"KR\"})\n",
    "sns.distplot(surrendered[surrendered['region']=='JP']['matchDuration'],ax=ax, kde_kws={\"label\": \"JP\"})\n",
    "sns.distplot(surrendered[surrendered['region']=='NA']['matchDuration'],ax=ax, kde_kws={\"label\": \"NA\"})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2234a5aaef0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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YVq9ezZIl1/W7GgNn5513Yc6cOf2uhiRJehgwLGhgLVlyHW95/1uYt/n8fldlYKy8ewWf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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2234a4c5908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# highest achieved ranking of all players to get an idea of ELO (in the surrendered games)\n",
    "euw = surrendered[surrendered['region']=='EUW']\n",
    "rankings = []\n",
    "for match in euw['participants']:\n",
    "    for person in match:\n",
    "        rankings.append(person['highestAchievedSeasonTier'])\n",
    "rankings = pd.DataFrame(rankings,columns=[\"EUW rank\"])\n",
    "plt.figure(figsize=(9, 6))\n",
    "sns.countplot(x=\"EUW rank\", data=rankings, palette=\"Greens_d\",order=['CHALLENGER','MASTER','DIAMOND','PLATINUM','GOLD','SILVER','BRONZE','UNRANKED'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2234a647978>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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QJEmSVGVYkCRJklRlWJAkSZJUZViQJEmSVGVYkCRJklRlWJAkSZJUZViQJEmSVGVYkCRJ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\nnZld4hq8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2234a694908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# highest achieved ranking of all players to get an idea of ELO (in the surrendered games)\n",
    "jp = surrendered[surrendered['region']=='JP']\n",
    "rankings = []\n",
    "for match in jp['participants']:\n",
    "    for person in match:\n",
    "        rankings.append(person['highestAchievedSeasonTier'])\n",
    "rankings = pd.DataFrame(rankings,columns=[\"JP rank\"])\n",
    "plt.figure(figsize=(9, 6))\n",
    "sns.countplot(x=\"JP rank\", data=rankings, palette=\"Greens_d\",order=['CHALLENGER','MASTER','DIAMOND','PLATINUM','GOLD','SILVER','BRONZE','UNRANKED'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2234a929898>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SlWFBkiRJUpVhQZIkSVKVYUGSJElSlWFBkiRJUpVhQZIkSVKVYUGSJElSlWFBkiRJUpVh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\nLoyI3+9a72OBD2+mblBek84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IrFF1mdJSCMV79P56uZToRDoD6PJaOtS+uojoVd/VWeZ6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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2234a931a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# highest achieved ranking of all players to get an idea of ELO (in the surrendered games)\n",
    "kr = surrendered[surrendered['region']=='KR']\n",
    "rankings = []\n",
    "for match in kr['participants']:\n",
    "    for person in match:\n",
    "        rankings.append(person['highestAchievedSeasonTier'])\n",
    "rankings = pd.DataFrame(rankings,columns=[\"KR rank\"])\n",
    "plt.figure(figsize=(9, 6))\n",
    "sns.countplot(x=\"KR rank\", data=rankings, palette=\"Greens_d\",order=['CHALLENGER','MASTER','DIAMOND','PLATINUM','GOLD','SILVER','BRONZE','UNRANKED'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2234a74ec88>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AHh20fGXzurOeuZQuTCdl5khEXN2UdwZB7w+sB26YSP2Gh0cYHh6Z4FZpOmzY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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2234a7554e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# highest achieved ranking of all players to get an idea of ELO (in the surrendered games)\n",
    "na = surrendered[surrendered['region']=='NA']\n",
    "rankings = []\n",
    "for match in na['participants']:\n",
    "    for person in match:\n",
    "        rankings.append(person['highestAchievedSeasonTier'])\n",
    "rankings = pd.DataFrame(rankings,columns=[\"NA rank\"])\n",
    "plt.figure(figsize=(9, 6))\n",
    "sns.countplot(x=\"NA rank\", data=rankings, palette=\"Greens_d\",order=['CHALLENGER','MASTER','DIAMOND','PLATINUM','GOLD','SILVER','BRONZE','UNRANKED'])"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}