アイスクリーム統計学・第７章〜第９章.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# アイスクリーム統計学 + Python (第７章〜第９章)\n",
    "\n",
    "[アイスクリーム統計学にようこそ！](http://kogolab.chillout.jp/elearn/icecream/index.html)\n",
    "のページを読み進めながら、以下の課題を Python を使って解いてください。\n",
    "\n",
    "* [アイスクリーム統計学・第１章〜第３章（散布図と相関、相関係数、無相関検定）](http://nbviewer.jupyter.org/github/maskot1977/ipython_notebook/blob/master/%E3%82%A2%E3%82%A4%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%A0%E7%B5%B1%E8%A8%88%E5%AD%A6%E3%83%BB%E7%AC%AC%EF%BC%91%E7%AB%A0%E3%80%9C%E7%AC%AC%EF%BC%93%E7%AB%A0.ipynb)\n",
    "* [アイスクリーム統計学・第４章〜第６章（単回帰、偏相関、重回帰）](http://nbviewer.jupyter.org/github/maskot1977/ipython_notebook/blob/master/%E3%82%A2%E3%82%A4%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%A0%E7%B5%B1%E8%A8%88%E5%AD%A6%E3%83%BB%E7%AC%AC%EF%BC%94%E7%AB%A0%E3%80%9C%E7%AC%AC%EF%BC%96%E7%AB%A0.ipynb)\n",
    "* [アイスクリーム統計学・第７章〜第９章（相関行列、因子分析1、因子分析2）](http://nbviewer.jupyter.org/github/maskot1977/ipython_notebook/blob/master/%E3%82%A2%E3%82%A4%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%A0%E7%B5%B1%E8%A8%88%E5%AD%A6%E3%83%BB%E7%AC%AC%EF%BC%97%E7%AB%A0%E3%80%9C%E7%AC%AC%EF%BC%99%E7%AB%A0.ipynb)\n",
    "* [アイスクリーム統計学・第１０章（主成分分析とクラスター分析）](http://nbviewer.jupyter.org/github/maskot1977/ipython_notebook/blob/master/%E3%82%A2%E3%82%A4%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%A0%E7%B5%B1%E8%A8%88%E5%AD%A6%E3%83%BB%E7%AC%AC%EF%BC%91%EF%BC%90%E7%AB%A0.ipynb)\n",
    "* [ハンバーガー統計学・第１章〜第２章（平均と分散、信頼区間）](http://nbviewer.jupyter.org/github/maskot1977/ipython_notebook/blob/master/%E3%83%8F%E3%83%B3%E3%83%8F%E3%82%99%E3%83%BC%E3%82%AB%E3%82%99%E3%83%BC%E7%B5%B1%E8%A8%88%E5%AD%A6%E3%83%BB%E7%AC%AC%EF%BC%91%E7%AB%A0%E3%80%9C%E7%AC%AC%EF%BC%92%E7%AB%A0.ipynb)\n",
    "* [ハンバーガー統計学・第３章〜第５章（カイ２乗検定、t検定 （対応なし・対応あり））](http://nbviewer.jupyter.org/github/maskot1977/ipython_notebook/blob/master/%E3%83%8F%E3%83%B3%E3%83%8F%E3%82%99%E3%83%BC%E3%82%AB%E3%82%99%E3%83%BC%E7%B5%B1%E8%A8%88%E5%AD%A6%E3%83%BB%E7%AC%AC%EF%BC%93%E7%AB%A0%E3%80%9C%E7%AC%AC%EF%BC%95%E7%AB%A0.ipynb)\n",
    "* [ハンバーガー統計学・第６章〜第７章（分散分析 (１要因、２要因) ）](http://nbviewer.jupyter.org/github/maskot1977/ipython_notebook/blob/master/%E3%83%8F%E3%83%B3%E3%83%8F%E3%82%99%E3%83%BC%E3%82%AB%E3%82%99%E3%83%BC%E7%B5%B1%E8%A8%88%E5%AD%A6%E3%83%BB%E7%AC%AC%EF%BC%96%E7%AB%A0%E3%80%9C%E7%AC%AC%EF%BC%97%E7%AB%A0.ipynb)\n",
    "* [ハンバーガー統計学・第８章 (分布と仮説検定)](http://nbviewer.jupyter.org/github/maskot1977/ipython_notebook/blob/master/%E3%83%8F%E3%83%B3%E3%83%8F%E3%82%99%E3%83%BC%E3%82%AB%E3%82%99%E3%83%BC%E7%B5%B1%E8%A8%88%E5%AD%A6%E3%83%BB%E7%AC%AC%EF%BC%98%E7%AB%A0.ipynb)\n",
    "\n",
    "### Jupyter Notebook (IPython Notebook) とは\n",
    "* Python という名のプログラミング言語が使えるプログラミング環境。計算コードと計算結果を同じ場所に時系列で保存できるので、実験系における実験ノートのように、いつどんな処理を行って何を得たのか記録して再現するのに便利。\n",
    "* [当学演習室での Jupyter Notebook の起動方法](https://raw.githubusercontent.com/maskot1977/-/master/%E6%BC%94%E7%BF%92%E5%AE%A4.txt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7.　[相関行列](http://kogolab.chillout.jp/elearn/icecream/chap7/sec0.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 7.1　[多変量データ](http://kogolab.chillout.jp/elearn/icecream/chap7/sec1.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "本文を読んで概念を学んでください。また、 [調査票](https://github.com/maskot1977/ipython_notebook/blob/master/toydata/chosahyo.pdf)を読んで、アンケート内容を把握してください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 7.2　[変数をまとめる](http://kogolab.chillout.jp/elearn/icecream/chap7/sec2.html)\n",
    "ここでは、人を「サンプル」と見なし、バニラ、ストロベリーなどの味の好みを「変数」と見なします。（逆に、バニラ、ストロベリーなどのアイスを「サンプル」と見なし、人の好みを「変数」と見なすこともできます。）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__課題7.2__：[アイスクリームアンケート調査結果](https://raw.githubusercontent.com/maskot1977/ipython_notebook/master/toydata/icecream_chosa.txt)をダウンロードして、次のコードを実行してください。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# URL によるリソースへのアクセスを提供するライブラリをインポートする。\n",
    "import urllib # Python 2 の場合\n",
    "# import urllib.request # Python 3 の場合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# ウェブ上のリソースを指定する\n",
    "url = 'https://raw.githubusercontent.com/maskot1977/ipython_notebook/master/toydata/icecream_chosa.txt'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('icecream_chosa.txt', <httplib.HTTPMessage instance at 0x10411ae18>)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 指定したURLからリソースをダウンロードし、名前をつける。\n",
    "urllib.urlretrieve(url, 'icecream_chosa.txt') # Python 2 の場合\n",
    "# urllib.request.urlretrieve(url, 'icecream_chosa.txt') # Python 3 の場合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ID gender age birth_order frequency vanilla strawberry milk_tea macadamia_nuts cookie chocolate melon coffee almond rum_raisin mint banana caramel walnut cassis chocolate_chips orange green_tea marron chocolate_mint adzuki-bean \r\n",
      "1 2 20 2 5 7 7 8 3 9 9 6 8 3 2 1 7 9 3 3 9 7 8 8 1 7 \r\n",
      "2 2 21 2 1 7 8 9 9 9 9 2 7 7 9 5 4 7 8 9 9 4 7 7 8 9 \r\n",
      "3 2 21 3 2 7 4 3 3 6 4 7 7 6 3 3 4 6 3 3 6 7 3 7 3 3 \r\n",
      "4 2 21 4 3 9 6 6 5 8 6 8 9 6 5 4 4 9 5 4 8 9 1 2 1 3 \r\n",
      "5 2 21 4 2 9 5 7 5 6 8 4 4 4 6 9 6 6 6 5 9 6 6 6 9 1 \r\n",
      "6 2 21 2 5 5 7 5 5 5 7 5 8 5 8 9 5 9 5 8 8 9 9 5 9 1 \r\n",
      "7 2 21 2 2 9 7 6 3 7 9 4 6 5 2 2 6 7 5 5 9 9 3 5 2 3 \r\n",
      "8 2 20 2 4 7 7 6 8 7 6 5 8 7 5 6 5 6 7 9 5 6 8 5 6 8 \r\n",
      "9 2 21 2 4 7 7 4 8 7 7 4 7 6 3 5 5 7 7 6 8 6 3 3 7 3 \r\n"
     ]
    }
   ],
   "source": [
    "#最初の数レコードだけ確認する\n",
    "!head icecream_chosa.txt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# バニラ、ストロベリーなどの変数間の関係を見るための「行列」 matrix に格納する。\n",
    "# Pythonにおける「長さnのリスト（n個の要素が入ったリスト）」は、数学における「n次元の列ベクトル」と同じ意味。\n",
    "# Pythonにおける「リストのリスト（長さnのリストがm個入ったもの）」は、数学における「m行n列の行列」と同じ意味。\n",
    "# 変数の名前は val_names というリストに入れる\n",
    "matrix = []\n",
    "val_names = []\n",
    "for i, line in enumerate(open(\"icecream_chosa.txt\")):\n",
    "    if i == 0:\n",
    "        for j, val in enumerate(line.split()):\n",
    "            val_names.append(val)\n",
    "            matrix.append([])\n",
    "    else:\n",
    "        for j, val in enumerate(line.split()):\n",
    "            matrix[j].append(float(val))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd # データフレームワーク処理のライブラリをインポート"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "      <th>ID</th>\n",
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       "      <td>74.0</td>\n",
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       "      <td>79.0</td>\n",
       "      <td>80.0</td>\n",
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       "    <tr>\n",
       "      <th>gender</th>\n",
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       "      <th>age</th>\n",
       "      <td>20.0</td>\n",
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       "      <td>21.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>21.0</td>\n",
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       "      <td>21.0</td>\n",
       "      <td>22.0</td>\n",
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       "      <td>22.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>22.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>birth_order</th>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
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       "      <td>4.0</td>\n",
       "      <td>1.0</td>\n",
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       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
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       "      <th>frequency</th>\n",
       "      <td>5.0</td>\n",
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       "      <td>2.0</td>\n",
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       "      <td>4.0</td>\n",
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       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>vanilla</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
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       "      <td>9.0</td>\n",
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       "      <td>4.0</td>\n",
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       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
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       "    <tr>\n",
       "      <th>strawberry</th>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
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       "      <td>7.0</td>\n",
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       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
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       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>milk_tea</th>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>macadamia_nuts</th>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cookie</th>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chocolate</th>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>melon</th>\n",
       "      <td>6.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>coffee</th>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>almond</th>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rum_raisin</th>\n",
       "      <td>2.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mint</th>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>banana</th>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>caramel</th>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>walnut</th>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cassis</th>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chocolate_chips</th>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>orange</th>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>green_tea</th>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>marron</th>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chocolate_mint</th>\n",
       "      <td>1.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>adzuki-bean</th>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>26 rows × 80 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                   0     1     2     3     4     5     6     7     8     9   \\\n",
       "ID                1.0   2.0   3.0   4.0   5.0   6.0   7.0   8.0   9.0  10.0   \n",
       "gender            2.0   2.0   2.0   2.0   2.0   2.0   2.0   2.0   2.0   2.0   \n",
       "age              20.0  21.0  21.0  21.0  21.0  21.0  21.0  20.0  21.0  22.0   \n",
       "birth_order       2.0   2.0   3.0   4.0   4.0   2.0   2.0   2.0   2.0   4.0   \n",
       "frequency         5.0   1.0   2.0   3.0   2.0   5.0   2.0   4.0   4.0   4.0   \n",
       "vanilla           7.0   7.0   7.0   9.0   9.0   5.0   9.0   7.0   7.0   5.0   \n",
       "strawberry        7.0   8.0   4.0   6.0   5.0   7.0   7.0   7.0   7.0   5.0   \n",
       "milk_tea          8.0   9.0   3.0   6.0   7.0   5.0   6.0   6.0   4.0   9.0   \n",
       "macadamia_nuts    3.0   9.0   3.0   5.0   5.0   5.0   3.0   8.0   8.0   5.0   \n",
       "cookie            9.0   9.0   6.0   8.0   6.0   5.0   7.0   7.0   7.0   8.0   \n",
       "chocolate         9.0   9.0   4.0   6.0   8.0   7.0   9.0   6.0   7.0   8.0   \n",
       "melon             6.0   2.0   7.0   8.0   4.0   5.0   4.0   5.0   4.0   5.0   \n",
       "coffee            8.0   7.0   7.0   9.0   4.0   8.0   6.0   8.0   7.0   6.0   \n",
       "almond            3.0   7.0   6.0   6.0   4.0   5.0   5.0   7.0   6.0   3.0   \n",
       "rum_raisin        2.0   9.0   3.0   5.0   6.0   8.0   2.0   5.0   3.0   3.0   \n",
       "mint              1.0   5.0   3.0   4.0   9.0   9.0   2.0   6.0   5.0   3.0   \n",
       "banana            7.0   4.0   4.0   4.0   6.0   5.0   6.0   5.0   5.0   8.0   \n",
       "caramel           9.0   7.0   6.0   9.0   6.0   9.0   7.0   6.0   7.0   7.0   \n",
       "walnut            3.0   8.0   3.0   5.0   6.0   5.0   5.0   7.0   7.0   2.0   \n",
       "cassis            3.0   9.0   3.0   4.0   5.0   8.0   5.0   9.0   6.0   8.0   \n",
       "chocolate_chips   9.0   9.0   6.0   8.0   9.0   8.0   9.0   5.0   8.0   8.0   \n",
       "orange            7.0   4.0   7.0   9.0   6.0   9.0   9.0   6.0   6.0   6.0   \n",
       "green_tea         8.0   7.0   3.0   1.0   6.0   9.0   3.0   8.0   3.0   6.0   \n",
       "marron            8.0   7.0   7.0   2.0   6.0   5.0   5.0   5.0   3.0   2.0   \n",
       "chocolate_mint    1.0   8.0   3.0   1.0   9.0   9.0   2.0   6.0   7.0   1.0   \n",
       "adzuki-bean       7.0   9.0   3.0   3.0   1.0   1.0   3.0   8.0   3.0   1.0   \n",
       "\n",
       "                 ...     70    71    72    73    74    75    76    77    78  \\\n",
       "ID               ...   71.0  72.0  73.0  74.0  75.0  76.0  77.0  78.0  79.0   \n",
       "gender           ...    1.0   1.0   1.0   1.0   1.0   1.0   1.0   1.0   1.0   \n",
       "age              ...   22.0  24.0  20.0  20.0  21.0  20.0  20.0  23.0  23.0   \n",
       "birth_order      ...    4.0   1.0   2.0   2.0   2.0   2.0   3.0   1.0   4.0   \n",
       "frequency        ...    4.0   2.0   2.0   5.0   6.0   4.0   6.0   5.0   7.0   \n",
       "vanilla          ...    7.0   6.0   6.0   8.0   4.0   5.0   7.0   4.0   9.0   \n",
       "strawberry       ...    7.0   7.0   6.0   8.0   6.0   6.0   5.0   8.0   7.0   \n",
       "milk_tea         ...    6.0   5.0   5.0   4.0   2.0   4.0   6.0   8.0   7.0   \n",
       "macadamia_nuts   ...    6.0   6.0   8.0   8.0   3.0   9.0   6.0   9.0   5.0   \n",
       "cookie           ...    8.0   4.0   8.0   9.0   6.0   6.0   8.0   9.0   4.0   \n",
       "chocolate        ...    9.0   8.0   7.0   7.0   6.0   7.0   9.0   9.0   6.0   \n",
       "melon            ...    6.0   8.0   3.0   3.0   8.0   4.0   4.0   4.0   7.0   \n",
       "coffee           ...    5.0   7.0   6.0   6.0   5.0   3.0   4.0   8.0   7.0   \n",
       "almond           ...    5.0   6.0   7.0   6.0   4.0   6.0   4.0   9.0   4.0   \n",
       "rum_raisin       ...    5.0   8.0   7.0   3.0   2.0   5.0   5.0   1.0   5.0   \n",
       "mint             ...    4.0   4.0   8.0   8.0   2.0   4.0   4.0   9.0   8.0   \n",
       "banana           ...    5.0   4.0   6.0   5.0   3.0   5.0   3.0   6.0   9.0   \n",
       "caramel          ...    7.0   2.0   7.0   4.0   2.0   5.0   9.0   8.0   7.0   \n",
       "walnut           ...    5.0   6.0   8.0   8.0   3.0   5.0   5.0   9.0   4.0   \n",
       "cassis           ...    5.0   8.0   7.0   8.0   2.0   5.0   5.0   5.0   5.0   \n",
       "chocolate_chips  ...    9.0   4.0   8.0   9.0   6.0   7.0   9.0   9.0   8.0   \n",
       "orange           ...    7.0   7.0   5.0   8.0   8.0   7.0   7.0   9.0   8.0   \n",
       "green_tea        ...    3.0   8.0   8.0   9.0   1.0   4.0   6.0   9.0   5.0   \n",
       "marron           ...    7.0   3.0   8.0   6.0   1.0   4.0   5.0   4.0   5.0   \n",
       "chocolate_mint   ...    6.0   2.0   8.0   9.0   2.0   4.0   6.0   9.0   8.0   \n",
       "adzuki-bean      ...    8.0   6.0   7.0   4.0   2.0   4.0   7.0   9.0   4.0   \n",
       "\n",
       "                   79  \n",
       "ID               80.0  \n",
       "gender            1.0  \n",
       "age              22.0  \n",
       "birth_order       2.0  \n",
       "frequency         2.0  \n",
       "vanilla           8.0  \n",
       "strawberry        5.0  \n",
       "milk_tea          5.0  \n",
       "macadamia_nuts    2.0  \n",
       "cookie            5.0  \n",
       "chocolate         4.0  \n",
       "melon             7.0  \n",
       "coffee            1.0  \n",
       "almond            5.0  \n",
       "rum_raisin        5.0  \n",
       "mint              3.0  \n",
       "banana            4.0  \n",
       "caramel           5.0  \n",
       "walnut            5.0  \n",
       "cassis            5.0  \n",
       "chocolate_chips   5.0  \n",
       "orange            7.0  \n",
       "green_tea         1.0  \n",
       "marron            1.0  \n",
       "chocolate_mint    5.0  \n",
       "adzuki-bean       5.0  \n",
       "\n",
       "[26 rows x 80 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# # できあがったMatrixの中身を確認してください。\n",
    "pd.DataFrame(matrix, index=val_names)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# バニラ、ストロベリーなどアイスクリームの種類に関するデータは５行目以降なので、Matrixを作り直してください。\n",
    "matrix = []\n",
    "val_names = []\n",
    "sta = 5\n",
    "for i, line in enumerate(open(\"icecream_chosa.txt\")):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# できあがったMatrixの中身を確認してください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 7.3　[相関行列を計算する(1)](http://kogolab.chillout.jp/elearn/icecream/chap7/sec3.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 7.4　[相関行列を計算する(2)](http://kogolab.chillout.jp/elearn/icecream/chap7/sec4.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 平均値を求める関数\n",
    "def average(list):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# 分散を求める関数\n",
    "def variance(list):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 標準偏差を求める関数\n",
    "def standard_deviation(list):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 共分散を求める関数\n",
    "def covariance(list1, list2):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 相関係数を求める関数\n",
    "def correlation(list1, list2):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 相関行列を作る関数\n",
    "def correlation_matrix(matrix):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
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       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "      <th>14</th>\n",
       "      <th>15</th>\n",
       "      <th>16</th>\n",
       "      <th>17</th>\n",
       "      <th>18</th>\n",
       "      <th>19</th>\n",
       "      <th>20</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
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       "      <td>0.078549</td>\n",
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       "      <td>0.054911</td>\n",
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       "      <td>-0.112804</td>\n",
       "      <td>0.058322</td>\n",
       "      <td>-0.261641</td>\n",
       "      <td>0.103779</td>\n",
       "      <td>...</td>\n",
       "      <td>0.006796</td>\n",
       "      <td>-0.097745</td>\n",
       "      <td>-0.173749</td>\n",
       "      <td>-0.157352</td>\n",
       "      <td>0.021834</td>\n",
       "      <td>-0.010688</td>\n",
       "      <td>0.015440</td>\n",
       "      <td>0.132379</td>\n",
       "      <td>-0.211786</td>\n",
       "      <td>0.049856</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.028515</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.207248</td>\n",
       "      <td>0.105375</td>\n",
       "      <td>0.035743</td>\n",
       "      <td>0.208958</td>\n",
       "      <td>0.295756</td>\n",
       "      <td>-0.017244</td>\n",
       "      <td>0.120569</td>\n",
       "      <td>0.060223</td>\n",
       "      <td>...</td>\n",
       "      <td>0.229944</td>\n",
       "      <td>0.142929</td>\n",
       "      <td>0.155927</td>\n",
       "      <td>0.149930</td>\n",
       "      <td>0.155422</td>\n",
       "      <td>0.170910</td>\n",
       "      <td>0.169990</td>\n",
       "      <td>0.124279</td>\n",
       "      <td>-0.013666</td>\n",
       "      <td>0.213412</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.078549</td>\n",
       "      <td>0.207248</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.341617</td>\n",
       "      <td>0.228646</td>\n",
       "      <td>0.055995</td>\n",
       "      <td>0.069048</td>\n",
       "      <td>0.358647</td>\n",
       "      <td>0.076171</td>\n",
       "      <td>0.128701</td>\n",
       "      <td>...</td>\n",
       "      <td>0.401104</td>\n",
       "      <td>0.414177</td>\n",
       "      <td>0.197385</td>\n",
       "      <td>0.334752</td>\n",
       "      <td>0.106697</td>\n",
       "      <td>0.090938</td>\n",
       "      <td>0.285318</td>\n",
       "      <td>0.285782</td>\n",
       "      <td>-0.019108</td>\n",
       "      <td>0.218824</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.113384</td>\n",
       "      <td>0.105375</td>\n",
       "      <td>0.341617</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.343731</td>\n",
       "      <td>0.197442</td>\n",
       "      <td>-0.093036</td>\n",
       "      <td>0.230645</td>\n",
       "      <td>0.438363</td>\n",
       "      <td>0.193574</td>\n",
       "      <td>...</td>\n",
       "      <td>0.079780</td>\n",
       "      <td>0.201508</td>\n",
       "      <td>0.647312</td>\n",
       "      <td>0.302949</td>\n",
       "      <td>0.079059</td>\n",
       "      <td>-0.056018</td>\n",
       "      <td>0.310694</td>\n",
       "      <td>0.291890</td>\n",
       "      <td>0.114404</td>\n",
       "      <td>0.311802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.054911</td>\n",
       "      <td>0.035743</td>\n",
       "      <td>0.228646</td>\n",
       "      <td>0.343731</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.259470</td>\n",
       "      <td>-0.016390</td>\n",
       "      <td>0.276814</td>\n",
       "      <td>0.363010</td>\n",
       "      <td>-0.028334</td>\n",
       "      <td>...</td>\n",
       "      <td>0.234514</td>\n",
       "      <td>0.247667</td>\n",
       "      <td>0.281714</td>\n",
       "      <td>0.094633</td>\n",
       "      <td>0.442330</td>\n",
       "      <td>-0.074943</td>\n",
       "      <td>0.016897</td>\n",
       "      <td>0.246303</td>\n",
       "      <td>-0.156397</td>\n",
       "      <td>0.248015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-0.110206</td>\n",
       "      <td>0.208958</td>\n",
       "      <td>0.055995</td>\n",
       "      <td>0.197442</td>\n",
       "      <td>0.259470</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.210929</td>\n",
       "      <td>0.203535</td>\n",
       "      <td>0.230101</td>\n",
       "      <td>-0.148296</td>\n",
       "      <td>...</td>\n",
       "      <td>0.242511</td>\n",
       "      <td>0.295318</td>\n",
       "      <td>0.209069</td>\n",
       "      <td>0.099631</td>\n",
       "      <td>0.661099</td>\n",
       "      <td>0.123757</td>\n",
       "      <td>0.047984</td>\n",
       "      <td>0.109969</td>\n",
       "      <td>0.191060</td>\n",
       "      <td>0.209861</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.112804</td>\n",
       "      <td>0.295756</td>\n",
       "      <td>0.069048</td>\n",
       "      <td>-0.093036</td>\n",
       "      <td>-0.016390</td>\n",
       "      <td>0.210929</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.193373</td>\n",
       "      <td>-0.018380</td>\n",
       "      <td>-0.138505</td>\n",
       "      <td>...</td>\n",
       "      <td>0.241593</td>\n",
       "      <td>0.133873</td>\n",
       "      <td>0.032196</td>\n",
       "      <td>0.058476</td>\n",
       "      <td>0.106230</td>\n",
       "      <td>0.197470</td>\n",
       "      <td>-0.158637</td>\n",
       "      <td>-0.079930</td>\n",
       "      <td>-0.109765</td>\n",
       "      <td>0.030297</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.058322</td>\n",
       "      <td>-0.017244</td>\n",
       "      <td>0.358647</td>\n",
       "      <td>0.230645</td>\n",
       "      <td>0.276814</td>\n",
       "      <td>0.203535</td>\n",
       "      <td>0.193373</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.259505</td>\n",
       "      <td>0.009779</td>\n",
       "      <td>...</td>\n",
       "      <td>0.288617</td>\n",
       "      <td>0.283974</td>\n",
       "      <td>0.100008</td>\n",
       "      <td>0.312881</td>\n",
       "      <td>0.242711</td>\n",
       "      <td>0.213161</td>\n",
       "      <td>0.237421</td>\n",
       "      <td>0.157815</td>\n",
       "      <td>0.001101</td>\n",
       "      <td>0.057754</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-0.261641</td>\n",
       "      <td>0.120569</td>\n",
       "      <td>0.076171</td>\n",
       "      <td>0.438363</td>\n",
       "      <td>0.363010</td>\n",
       "      <td>0.230101</td>\n",
       "      <td>-0.018380</td>\n",
       "      <td>0.259505</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.141709</td>\n",
       "      <td>...</td>\n",
       "      <td>0.086892</td>\n",
       "      <td>0.308005</td>\n",
       "      <td>0.546367</td>\n",
       "      <td>0.154778</td>\n",
       "      <td>0.277636</td>\n",
       "      <td>0.036828</td>\n",
       "      <td>0.078271</td>\n",
       "      <td>0.074451</td>\n",
       "      <td>0.155004</td>\n",
       "      <td>0.217668</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.103779</td>\n",
       "      <td>0.060223</td>\n",
       "      <td>0.128701</td>\n",
       "      <td>0.193574</td>\n",
       "      <td>-0.028334</td>\n",
       "      <td>-0.148296</td>\n",
       "      <td>-0.138505</td>\n",
       "      <td>0.009779</td>\n",
       "      <td>0.141709</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.059180</td>\n",
       "      <td>0.047346</td>\n",
       "      <td>0.081568</td>\n",
       "      <td>0.100993</td>\n",
       "      <td>-0.040930</td>\n",
       "      <td>-0.190443</td>\n",
       "      <td>0.219083</td>\n",
       "      <td>0.122659</td>\n",
       "      <td>0.147367</td>\n",
       "      <td>0.012173</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-0.236248</td>\n",
       "      <td>0.029736</td>\n",
       "      <td>0.048861</td>\n",
       "      <td>0.116515</td>\n",
       "      <td>-0.258632</td>\n",
       "      <td>0.123174</td>\n",
       "      <td>-0.037718</td>\n",
       "      <td>0.081165</td>\n",
       "      <td>0.177390</td>\n",
       "      <td>0.126706</td>\n",
       "      <td>...</td>\n",
       "      <td>0.111364</td>\n",
       "      <td>0.130338</td>\n",
       "      <td>0.145211</td>\n",
       "      <td>0.123642</td>\n",
       "      <td>0.160271</td>\n",
       "      <td>0.020442</td>\n",
       "      <td>0.205284</td>\n",
       "      <td>0.076743</td>\n",
       "      <td>0.833957</td>\n",
       "      <td>-0.095770</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.006796</td>\n",
       "      <td>0.229944</td>\n",
       "      <td>0.401104</td>\n",
       "      <td>0.079780</td>\n",
       "      <td>0.234514</td>\n",
       "      <td>0.242511</td>\n",
       "      <td>0.241593</td>\n",
       "      <td>0.288617</td>\n",
       "      <td>0.086892</td>\n",
       "      <td>-0.059180</td>\n",
       "      <td>...</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.433279</td>\n",
       "      <td>0.128464</td>\n",
       "      <td>0.241141</td>\n",
       "      <td>0.325065</td>\n",
       "      <td>-0.017298</td>\n",
       "      <td>0.089488</td>\n",
       "      <td>0.383984</td>\n",
       "      <td>0.072743</td>\n",
       "      <td>0.198064</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-0.097745</td>\n",
       "      <td>0.142929</td>\n",
       "      <td>0.414177</td>\n",
       "      <td>0.201508</td>\n",
       "      <td>0.247667</td>\n",
       "      <td>0.295318</td>\n",
       "      <td>0.133873</td>\n",
       "      <td>0.283974</td>\n",
       "      <td>0.308005</td>\n",
       "      <td>0.047346</td>\n",
       "      <td>...</td>\n",
       "      <td>0.433279</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.289593</td>\n",
       "      <td>0.213386</td>\n",
       "      <td>0.342706</td>\n",
       "      <td>0.176749</td>\n",
       "      <td>0.048373</td>\n",
       "      <td>0.458127</td>\n",
       "      <td>0.137117</td>\n",
       "      <td>0.339599</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-0.173749</td>\n",
       "      <td>0.155927</td>\n",
       "      <td>0.197385</td>\n",
       "      <td>0.647312</td>\n",
       "      <td>0.281714</td>\n",
       "      <td>0.209069</td>\n",
       "      <td>0.032196</td>\n",
       "      <td>0.100008</td>\n",
       "      <td>0.546367</td>\n",
       "      <td>0.081568</td>\n",
       "      <td>...</td>\n",
       "      <td>0.128464</td>\n",
       "      <td>0.289593</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.351503</td>\n",
       "      <td>0.128733</td>\n",
       "      <td>0.080530</td>\n",
       "      <td>0.282190</td>\n",
       "      <td>0.269376</td>\n",
       "      <td>0.252747</td>\n",
       "      <td>0.330305</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>-0.157352</td>\n",
       "      <td>0.149930</td>\n",
       "      <td>0.334752</td>\n",
       "      <td>0.302949</td>\n",
       "      <td>0.094633</td>\n",
       "      <td>0.099631</td>\n",
       "      <td>0.058476</td>\n",
       "      <td>0.312881</td>\n",
       "      <td>0.154778</td>\n",
       "      <td>0.100993</td>\n",
       "      <td>...</td>\n",
       "      <td>0.241141</td>\n",
       "      <td>0.213386</td>\n",
       "      <td>0.351503</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.123230</td>\n",
       "      <td>0.115750</td>\n",
       "      <td>0.250157</td>\n",
       "      <td>0.204307</td>\n",
       "      <td>0.177092</td>\n",
       "      <td>0.218333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.021834</td>\n",
       "      <td>0.155422</td>\n",
       "      <td>0.106697</td>\n",
       "      <td>0.079059</td>\n",
       "      <td>0.442330</td>\n",
       "      <td>0.661099</td>\n",
       "      <td>0.106230</td>\n",
       "      <td>0.242711</td>\n",
       "      <td>0.277636</td>\n",
       "      <td>-0.040930</td>\n",
       "      <td>...</td>\n",
       "      <td>0.325065</td>\n",
       "      <td>0.342706</td>\n",
       "      <td>0.128733</td>\n",
       "      <td>0.123230</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.142654</td>\n",
       "      <td>-0.020819</td>\n",
       "      <td>0.097843</td>\n",
       "      <td>0.264442</td>\n",
       "      <td>0.118129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.010688</td>\n",
       "      <td>0.170910</td>\n",
       "      <td>0.090938</td>\n",
       "      <td>-0.056018</td>\n",
       "      <td>-0.074943</td>\n",
       "      <td>0.123757</td>\n",
       "      <td>0.197470</td>\n",
       "      <td>0.213161</td>\n",
       "      <td>0.036828</td>\n",
       "      <td>-0.190443</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.017298</td>\n",
       "      <td>0.176749</td>\n",
       "      <td>0.080530</td>\n",
       "      <td>0.115750</td>\n",
       "      <td>0.142654</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.070940</td>\n",
       "      <td>-0.053342</td>\n",
       "      <td>0.017846</td>\n",
       "      <td>-0.039698</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.015440</td>\n",
       "      <td>0.169990</td>\n",
       "      <td>0.285318</td>\n",
       "      <td>0.310694</td>\n",
       "      <td>0.016897</td>\n",
       "      <td>0.047984</td>\n",
       "      <td>-0.158637</td>\n",
       "      <td>0.237421</td>\n",
       "      <td>0.078271</td>\n",
       "      <td>0.219083</td>\n",
       "      <td>...</td>\n",
       "      <td>0.089488</td>\n",
       "      <td>0.048373</td>\n",
       "      <td>0.282190</td>\n",
       "      <td>0.250157</td>\n",
       "      <td>-0.020819</td>\n",
       "      <td>0.070940</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.385409</td>\n",
       "      <td>0.214660</td>\n",
       "      <td>0.348820</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.132379</td>\n",
       "      <td>0.124279</td>\n",
       "      <td>0.285782</td>\n",
       "      <td>0.291890</td>\n",
       "      <td>0.246303</td>\n",
       "      <td>0.109969</td>\n",
       "      <td>-0.079930</td>\n",
       "      <td>0.157815</td>\n",
       "      <td>0.074451</td>\n",
       "      <td>0.122659</td>\n",
       "      <td>...</td>\n",
       "      <td>0.383984</td>\n",
       "      <td>0.458127</td>\n",
       "      <td>0.269376</td>\n",
       "      <td>0.204307</td>\n",
       "      <td>0.097843</td>\n",
       "      <td>-0.053342</td>\n",
       "      <td>0.385409</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.157897</td>\n",
       "      <td>0.509220</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.211786</td>\n",
       "      <td>-0.013666</td>\n",
       "      <td>-0.019108</td>\n",
       "      <td>0.114404</td>\n",
       "      <td>-0.156397</td>\n",
       "      <td>0.191060</td>\n",
       "      <td>-0.109765</td>\n",
       "      <td>0.001101</td>\n",
       "      <td>0.155004</td>\n",
       "      <td>0.147367</td>\n",
       "      <td>...</td>\n",
       "      <td>0.072743</td>\n",
       "      <td>0.137117</td>\n",
       "      <td>0.252747</td>\n",
       "      <td>0.177092</td>\n",
       "      <td>0.264442</td>\n",
       "      <td>0.017846</td>\n",
       "      <td>0.214660</td>\n",
       "      <td>0.157897</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.023781</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.049856</td>\n",
       "      <td>0.213412</td>\n",
       "      <td>0.218824</td>\n",
       "      <td>0.311802</td>\n",
       "      <td>0.248015</td>\n",
       "      <td>0.209861</td>\n",
       "      <td>0.030297</td>\n",
       "      <td>0.057754</td>\n",
       "      <td>0.217668</td>\n",
       "      <td>0.012173</td>\n",
       "      <td>...</td>\n",
       "      <td>0.198064</td>\n",
       "      <td>0.339599</td>\n",
       "      <td>0.330305</td>\n",
       "      <td>0.218333</td>\n",
       "      <td>0.118129</td>\n",
       "      <td>-0.039698</td>\n",
       "      <td>0.348820</td>\n",
       "      <td>0.509220</td>\n",
       "      <td>0.023781</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>21 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          0         1         2         3         4         5         6   \\\n",
       "0   1.000000  0.028515  0.078549 -0.113384  0.054911 -0.110206 -0.112804   \n",
       "1   0.028515  1.000000  0.207248  0.105375  0.035743  0.208958  0.295756   \n",
       "2   0.078549  0.207248  1.000000  0.341617  0.228646  0.055995  0.069048   \n",
       "3  -0.113384  0.105375  0.341617  1.000000  0.343731  0.197442 -0.093036   \n",
       "4   0.054911  0.035743  0.228646  0.343731  1.000000  0.259470 -0.016390   \n",
       "5  -0.110206  0.208958  0.055995  0.197442  0.259470  1.000000  0.210929   \n",
       "6  -0.112804  0.295756  0.069048 -0.093036 -0.016390  0.210929  1.000000   \n",
       "7   0.058322 -0.017244  0.358647  0.230645  0.276814  0.203535  0.193373   \n",
       "8  -0.261641  0.120569  0.076171  0.438363  0.363010  0.230101 -0.018380   \n",
       "9   0.103779  0.060223  0.128701  0.193574 -0.028334 -0.148296 -0.138505   \n",
       "10 -0.236248  0.029736  0.048861  0.116515 -0.258632  0.123174 -0.037718   \n",
       "11  0.006796  0.229944  0.401104  0.079780  0.234514  0.242511  0.241593   \n",
       "12 -0.097745  0.142929  0.414177  0.201508  0.247667  0.295318  0.133873   \n",
       "13 -0.173749  0.155927  0.197385  0.647312  0.281714  0.209069  0.032196   \n",
       "14 -0.157352  0.149930  0.334752  0.302949  0.094633  0.099631  0.058476   \n",
       "15  0.021834  0.155422  0.106697  0.079059  0.442330  0.661099  0.106230   \n",
       "16 -0.010688  0.170910  0.090938 -0.056018 -0.074943  0.123757  0.197470   \n",
       "17  0.015440  0.169990  0.285318  0.310694  0.016897  0.047984 -0.158637   \n",
       "18  0.132379  0.124279  0.285782  0.291890  0.246303  0.109969 -0.079930   \n",
       "19 -0.211786 -0.013666 -0.019108  0.114404 -0.156397  0.191060 -0.109765   \n",
       "20  0.049856  0.213412  0.218824  0.311802  0.248015  0.209861  0.030297   \n",
       "\n",
       "          7         8         9     ...           11        12        13  \\\n",
       "0   0.058322 -0.261641  0.103779    ...     0.006796 -0.097745 -0.173749   \n",
       "1  -0.017244  0.120569  0.060223    ...     0.229944  0.142929  0.155927   \n",
       "2   0.358647  0.076171  0.128701    ...     0.401104  0.414177  0.197385   \n",
       "3   0.230645  0.438363  0.193574    ...     0.079780  0.201508  0.647312   \n",
       "4   0.276814  0.363010 -0.028334    ...     0.234514  0.247667  0.281714   \n",
       "5   0.203535  0.230101 -0.148296    ...     0.242511  0.295318  0.209069   \n",
       "6   0.193373 -0.018380 -0.138505    ...     0.241593  0.133873  0.032196   \n",
       "7   1.000000  0.259505  0.009779    ...     0.288617  0.283974  0.100008   \n",
       "8   0.259505  1.000000  0.141709    ...     0.086892  0.308005  0.546367   \n",
       "9   0.009779  0.141709  1.000000    ...    -0.059180  0.047346  0.081568   \n",
       "10  0.081165  0.177390  0.126706    ...     0.111364  0.130338  0.145211   \n",
       "11  0.288617  0.086892 -0.059180    ...     1.000000  0.433279  0.128464   \n",
       "12  0.283974  0.308005  0.047346    ...     0.433279  1.000000  0.289593   \n",
       "13  0.100008  0.546367  0.081568    ...     0.128464  0.289593  1.000000   \n",
       "14  0.312881  0.154778  0.100993    ...     0.241141  0.213386  0.351503   \n",
       "15  0.242711  0.277636 -0.040930    ...     0.325065  0.342706  0.128733   \n",
       "16  0.213161  0.036828 -0.190443    ...    -0.017298  0.176749  0.080530   \n",
       "17  0.237421  0.078271  0.219083    ...     0.089488  0.048373  0.282190   \n",
       "18  0.157815  0.074451  0.122659    ...     0.383984  0.458127  0.269376   \n",
       "19  0.001101  0.155004  0.147367    ...     0.072743  0.137117  0.252747   \n",
       "20  0.057754  0.217668  0.012173    ...     0.198064  0.339599  0.330305   \n",
       "\n",
       "          14        15        16        17        18        19        20  \n",
       "0  -0.157352  0.021834 -0.010688  0.015440  0.132379 -0.211786  0.049856  \n",
       "1   0.149930  0.155422  0.170910  0.169990  0.124279 -0.013666  0.213412  \n",
       "2   0.334752  0.106697  0.090938  0.285318  0.285782 -0.019108  0.218824  \n",
       "3   0.302949  0.079059 -0.056018  0.310694  0.291890  0.114404  0.311802  \n",
       "4   0.094633  0.442330 -0.074943  0.016897  0.246303 -0.156397  0.248015  \n",
       "5   0.099631  0.661099  0.123757  0.047984  0.109969  0.191060  0.209861  \n",
       "6   0.058476  0.106230  0.197470 -0.158637 -0.079930 -0.109765  0.030297  \n",
       "7   0.312881  0.242711  0.213161  0.237421  0.157815  0.001101  0.057754  \n",
       "8   0.154778  0.277636  0.036828  0.078271  0.074451  0.155004  0.217668  \n",
       "9   0.100993 -0.040930 -0.190443  0.219083  0.122659  0.147367  0.012173  \n",
       "10  0.123642  0.160271  0.020442  0.205284  0.076743  0.833957 -0.095770  \n",
       "11  0.241141  0.325065 -0.017298  0.089488  0.383984  0.072743  0.198064  \n",
       "12  0.213386  0.342706  0.176749  0.048373  0.458127  0.137117  0.339599  \n",
       "13  0.351503  0.128733  0.080530  0.282190  0.269376  0.252747  0.330305  \n",
       "14  1.000000  0.123230  0.115750  0.250157  0.204307  0.177092  0.218333  \n",
       "15  0.123230  1.000000  0.142654 -0.020819  0.097843  0.264442  0.118129  \n",
       "16  0.115750  0.142654  1.000000  0.070940 -0.053342  0.017846 -0.039698  \n",
       "17  0.250157 -0.020819  0.070940  1.000000  0.385409  0.214660  0.348820  \n",
       "18  0.204307  0.097843 -0.053342  0.385409  1.000000  0.157897  0.509220  \n",
       "19  0.177092  0.264442  0.017846  0.214660  0.157897  1.000000  0.023781  \n",
       "20  0.218333  0.118129 -0.039698  0.348820  0.509220  0.023781  1.000000  \n",
       "\n",
       "[21 rows x 21 columns]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 相関行列を計算し表示する\n",
    "cormat = correlation_matrix(matrix)\n",
    "pd.DataFrame(cormat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 図やグラフを図示するためのライブラリをインポートする。\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ujnJ05cMdkgZJ6ld83gM4HVhcq4aZmVWsioVoG001PekDgJuKiy82AT+LiF/V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\n9v8BlgvaPNntSVkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114735250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 得られた相関行列をカラーマップで表示する。\n",
    "import matplotlib.ticker as ticker\n",
    "plt.pcolor(cormat, cmap=plt.cm.Blues)\n",
    "plt.colorbar()\n",
    "plt.gca().get_xaxis().set_major_locator(ticker.MaxNLocator(integer=True))\n",
    "plt.gca().get_yaxis().set_major_locator(ticker.MaxNLocator(integer=True))\n",
    "plt.xlim([0, len(cormat)])\n",
    "plt.ylim([0, len(cormat)])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 7.6　[通過テスト](http://kogolab.chillout.jp/elearn/icecream/chap7/sec6.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__課題7.6__：[アイスクリームアンケート調査結果](https://raw.githubusercontent.com/maskot1977/ipython_notebook/master/toydata/icecream_chosa.txt)のデータを用い、以下の問いに答えてください。\n",
    "* 21種類のアイスクリームの好みのデータについて、すべての組み合わせの相関係数を求めた上で、正の相関が高いもの（ここでは+0.4以上）の組み合わせをリストしてください。\n",
    "* 同様に、相関行列の中で、負の相関が高いもの（ここでは-0.2以下）の組み合わせをリストしてください。\n",
    "* 以上の結果を踏まえて、アイスクリームの好みについての分類をしたときに、言えることを書いてください。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8.　[因子分析(1)](http://kogolab.chillout.jp/elearn/icecream/chap8/sec0.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8.1　[因子分析の考え方](http://kogolab.chillout.jp/elearn/icecream/chap8/sec1.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8.2　[固有値](http://kogolab.chillout.jp/elearn/icecream/chap8/sec2.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8.3　[因子負荷](http://kogolab.chillout.jp/elearn/icecream/chap8/sec3.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8.4　[回転](http://kogolab.chillout.jp/elearn/icecream/chap8/sec4.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8.5　[通過テスト](http://kogolab.chillout.jp/elearn/icecream/chap8/sec6.html)\n",
    "Pythonでは、因子分析を行うためのライブラリが使えます。\n",
    "\n",
    "__課題8.5__：因子分析を行う前に、リストの正規化をする（Z値に変換する）関数を作成してください。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# リストの正規化をする（Z値に変換する）関数\n",
    "def normalize(data):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# リストのリストの正規化をする（Z値に変換する）関数\n",
    "def normalize2(data):\n",
    "    list = []\n",
    "    for x in data:\n",
    "        list.append(normalize(x))\n",
    "    return list"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__課題8.6__：因子分析を行う以下のコードを実行してください。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 図やグラフを図示するためのライブラリをインポートする。\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 機械学習のライブラリから、因子分析のプログラムをインポート\n",
    "from sklearn.decomposition import FactorAnalysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 因子分析の実行\n",
    "fa = FactorAnalysis()\n",
    "factors = fa.fit_transform(normalize2(matrix))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "      <th>14</th>\n",
       "      <th>15</th>\n",
       "      <th>16</th>\n",
       "      <th>17</th>\n",
       "      <th>18</th>\n",
       "      <th>19</th>\n",
       "      <th>20</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>vanilla</th>\n",
       "      <td>-1.268569</td>\n",
       "      <td>-0.010424</td>\n",
       "      <td>2.318349</td>\n",
       "      <td>-1.735447</td>\n",
       "      <td>-1.382064</td>\n",
       "      <td>-0.570599</td>\n",
       "      <td>0.043304</td>\n",
       "      <td>1.511889</td>\n",
       "      <td>-0.791865</td>\n",
       "      <td>0.436107</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.055257</td>\n",
       "      <td>1.253882</td>\n",
       "      <td>0.161477</td>\n",
       "      <td>-0.764865</td>\n",
       "      <td>-0.873683</td>\n",
       "      <td>-0.220023</td>\n",
       "      <td>0.611576</td>\n",
       "      <td>0.083070</td>\n",
       "      <td>0.236653</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>strawberry</th>\n",
       "      <td>-0.362126</td>\n",
       "      <td>0.514187</td>\n",
       "      <td>0.828758</td>\n",
       "      <td>0.426349</td>\n",
       "      <td>-0.025311</td>\n",
       "      <td>2.404494</td>\n",
       "      <td>-0.876892</td>\n",
       "      <td>-1.471251</td>\n",
       "      <td>-1.200159</td>\n",
       "      <td>-1.630133</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.141087</td>\n",
       "      <td>0.766327</td>\n",
       "      <td>1.667694</td>\n",
       "      <td>0.562325</td>\n",
       "      <td>-0.354102</td>\n",
       "      <td>0.694906</td>\n",
       "      <td>-0.089582</td>\n",
       "      <td>-0.932507</td>\n",
       "      <td>0.166717</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>milk_tea</th>\n",
       "      <td>-0.779537</td>\n",
       "      <td>-0.468727</td>\n",
       "      <td>0.444315</td>\n",
       "      <td>1.064407</td>\n",
       "      <td>0.688036</td>\n",
       "      <td>-0.497059</td>\n",
       "      <td>1.139735</td>\n",
       "      <td>-0.838651</td>\n",
       "      <td>-2.017942</td>\n",
       "      <td>-0.732853</td>\n",
       "      <td>...</td>\n",
       "      <td>0.620420</td>\n",
       "      <td>0.552054</td>\n",
       "      <td>-1.535757</td>\n",
       "      <td>0.319772</td>\n",
       "      <td>-0.017558</td>\n",
       "      <td>-1.123373</td>\n",
       "      <td>-1.692677</td>\n",
       "      <td>0.412158</td>\n",
       "      <td>0.103314</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>macadamia_nuts</th>\n",
       "      <td>0.311445</td>\n",
       "      <td>-1.707769</td>\n",
       "      <td>-0.817274</td>\n",
       "      <td>0.556034</td>\n",
       "      <td>-0.726757</td>\n",
       "      <td>-0.206691</td>\n",
       "      <td>0.128000</td>\n",
       "      <td>0.437522</td>\n",
       "      <td>-0.584647</td>\n",
       "      <td>-0.277903</td>\n",
       "      <td>...</td>\n",
       "      <td>0.306305</td>\n",
       "      <td>-0.170283</td>\n",
       "      <td>1.760713</td>\n",
       "      <td>-0.091957</td>\n",
       "      <td>1.472463</td>\n",
       "      <td>1.285529</td>\n",
       "      <td>1.478071</td>\n",
       "      <td>0.876822</td>\n",
       "      <td>0.710690</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cookie</th>\n",
       "      <td>-1.458831</td>\n",
       "      <td>-0.541890</td>\n",
       "      <td>-1.499313</td>\n",
       "      <td>-1.012749</td>\n",
       "      <td>-0.970025</td>\n",
       "      <td>-0.217802</td>\n",
       "      <td>0.046312</td>\n",
       "      <td>0.042097</td>\n",
       "      <td>0.123070</td>\n",
       "      <td>-0.748735</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.932264</td>\n",
       "      <td>-1.312443</td>\n",
       "      <td>-0.615876</td>\n",
       "      <td>2.710530</td>\n",
       "      <td>-0.165078</td>\n",
       "      <td>-0.890660</td>\n",
       "      <td>0.740134</td>\n",
       "      <td>-0.963135</td>\n",
       "      <td>-0.323201</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chocolate</th>\n",
       "      <td>-0.024004</td>\n",
       "      <td>1.132431</td>\n",
       "      <td>-1.190455</td>\n",
       "      <td>-1.116673</td>\n",
       "      <td>0.047021</td>\n",
       "      <td>-0.392829</td>\n",
       "      <td>-1.139540</td>\n",
       "      <td>-1.087155</td>\n",
       "      <td>0.334334</td>\n",
       "      <td>0.564087</td>\n",
       "      <td>...</td>\n",
       "      <td>1.118716</td>\n",
       "      <td>0.250017</td>\n",
       "      <td>0.734378</td>\n",
       "      <td>-1.603384</td>\n",
       "      <td>0.098381</td>\n",
       "      <td>-1.807891</td>\n",
       "      <td>0.297841</td>\n",
       "      <td>-1.776110</td>\n",
       "      <td>0.191992</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>melon</th>\n",
       "      <td>-0.756543</td>\n",
       "      <td>1.807738</td>\n",
       "      <td>0.328962</td>\n",
       "      <td>1.286306</td>\n",
       "      <td>-0.179994</td>\n",
       "      <td>1.727251</td>\n",
       "      <td>0.311477</td>\n",
       "      <td>1.155671</td>\n",
       "      <td>2.276051</td>\n",
       "      <td>-0.372793</td>\n",
       "      <td>...</td>\n",
       "      <td>0.155506</td>\n",
       "      <td>-0.528329</td>\n",
       "      <td>-0.471845</td>\n",
       "      <td>0.102185</td>\n",
       "      <td>-0.714128</td>\n",
       "      <td>-0.071846</td>\n",
       "      <td>0.151355</td>\n",
       "      <td>0.855306</td>\n",
       "      <td>0.350534</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>coffee</th>\n",
       "      <td>-0.648979</td>\n",
       "      <td>0.384299</td>\n",
       "      <td>-0.061586</td>\n",
       "      <td>1.070261</td>\n",
       "      <td>-0.617858</td>\n",
       "      <td>-2.339395</td>\n",
       "      <td>1.278930</td>\n",
       "      <td>-0.390519</td>\n",
       "      <td>1.665691</td>\n",
       "      <td>-0.372049</td>\n",
       "      <td>...</td>\n",
       "      <td>0.285845</td>\n",
       "      <td>1.298504</td>\n",
       "      <td>1.175483</td>\n",
       "      <td>0.370414</td>\n",
       "      <td>-0.071359</td>\n",
       "      <td>1.163895</td>\n",
       "      <td>-1.140516</td>\n",
       "      <td>-1.129070</td>\n",
       "      <td>0.017762</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>almond</th>\n",
       "      <td>0.550480</td>\n",
       "      <td>-0.495058</td>\n",
       "      <td>-1.684024</td>\n",
       "      <td>0.228919</td>\n",
       "      <td>-1.399948</td>\n",
       "      <td>0.656078</td>\n",
       "      <td>0.592646</td>\n",
       "      <td>0.189591</td>\n",
       "      <td>0.259340</td>\n",
       "      <td>-1.010834</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.328161</td>\n",
       "      <td>1.373537</td>\n",
       "      <td>-0.468381</td>\n",
       "      <td>-1.293856</td>\n",
       "      <td>0.259451</td>\n",
       "      <td>-1.615691</td>\n",
       "      <td>-0.030436</td>\n",
       "      <td>1.522342</td>\n",
       "      <td>0.724886</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rum_raisin</th>\n",
       "      <td>0.758196</td>\n",
       "      <td>-0.874934</td>\n",
       "      <td>1.325704</td>\n",
       "      <td>-0.696747</td>\n",
       "      <td>-1.694727</td>\n",
       "      <td>1.315742</td>\n",
       "      <td>1.577272</td>\n",
       "      <td>-1.163327</td>\n",
       "      <td>0.606388</td>\n",
       "      <td>1.541298</td>\n",
       "      <td>...</td>\n",
       "      <td>1.407346</td>\n",
       "      <td>-1.161449</td>\n",
       "      <td>-0.504667</td>\n",
       "      <td>0.011647</td>\n",
       "      <td>0.902407</td>\n",
       "      <td>0.098465</td>\n",
       "      <td>-0.495305</td>\n",
       "      <td>-0.498085</td>\n",
       "      <td>-0.381438</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mint</th>\n",
       "      <td>2.475583</td>\n",
       "      <td>0.859536</td>\n",
       "      <td>0.378847</td>\n",
       "      <td>-0.319773</td>\n",
       "      <td>0.466233</td>\n",
       "      <td>-0.320964</td>\n",
       "      <td>0.773151</td>\n",
       "      <td>0.393056</td>\n",
       "      <td>-0.076465</td>\n",
       "      <td>-0.841273</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.483645</td>\n",
       "      <td>0.695011</td>\n",
       "      <td>0.245291</td>\n",
       "      <td>0.672047</td>\n",
       "      <td>0.181762</td>\n",
       "      <td>-0.547809</td>\n",
       "      <td>0.831097</td>\n",
       "      <td>0.141547</td>\n",
       "      <td>-2.933925</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>banana</th>\n",
       "      <td>-0.786982</td>\n",
       "      <td>0.541323</td>\n",
       "      <td>-0.029725</td>\n",
       "      <td>-0.167910</td>\n",
       "      <td>1.884516</td>\n",
       "      <td>0.144592</td>\n",
       "      <td>1.804551</td>\n",
       "      <td>-0.182355</td>\n",
       "      <td>-0.200982</td>\n",
       "      <td>-0.191326</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.943758</td>\n",
       "      <td>-1.264642</td>\n",
       "      <td>-0.229517</td>\n",
       "      <td>-1.701019</td>\n",
       "      <td>1.434517</td>\n",
       "      <td>0.439941</td>\n",
       "      <td>0.682724</td>\n",
       "      <td>-0.763381</td>\n",
       "      <td>0.319720</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>caramel</th>\n",
       "      <td>-0.416261</td>\n",
       "      <td>0.307764</td>\n",
       "      <td>-0.745029</td>\n",
       "      <td>-0.023985</td>\n",
       "      <td>1.369855</td>\n",
       "      <td>0.119922</td>\n",
       "      <td>1.009636</td>\n",
       "      <td>0.779210</td>\n",
       "      <td>-0.950273</td>\n",
       "      <td>0.988364</td>\n",
       "      <td>...</td>\n",
       "      <td>2.396436</td>\n",
       "      <td>0.570968</td>\n",
       "      <td>-0.323404</td>\n",
       "      <td>0.456950</td>\n",
       "      <td>-1.432679</td>\n",
       "      <td>0.629128</td>\n",
       "      <td>1.880440</td>\n",
       "      <td>0.044279</td>\n",
       "      <td>0.263840</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>walnut</th>\n",
       "      <td>0.654143</td>\n",
       "      <td>-1.271467</td>\n",
       "      <td>-1.070062</td>\n",
       "      <td>0.780755</td>\n",
       "      <td>-0.384990</td>\n",
       "      <td>0.521873</td>\n",
       "      <td>-0.584456</td>\n",
       "      <td>1.621193</td>\n",
       "      <td>-0.567737</td>\n",
       "      <td>0.168249</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.460775</td>\n",
       "      <td>-0.857318</td>\n",
       "      <td>-0.409739</td>\n",
       "      <td>-1.346983</td>\n",
       "      <td>-1.724783</td>\n",
       "      <td>1.025217</td>\n",
       "      <td>-1.389702</td>\n",
       "      <td>-1.592031</td>\n",
       "      <td>-1.014018</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cassis</th>\n",
       "      <td>0.175942</td>\n",
       "      <td>-0.437288</td>\n",
       "      <td>0.027866</td>\n",
       "      <td>1.769319</td>\n",
       "      <td>0.398931</td>\n",
       "      <td>0.032984</td>\n",
       "      <td>-0.568923</td>\n",
       "      <td>-1.076611</td>\n",
       "      <td>0.042224</td>\n",
       "      <td>2.937834</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.879992</td>\n",
       "      <td>0.492859</td>\n",
       "      <td>0.572092</td>\n",
       "      <td>0.716653</td>\n",
       "      <td>-0.667108</td>\n",
       "      <td>-0.931865</td>\n",
       "      <td>0.438111</td>\n",
       "      <td>0.482704</td>\n",
       "      <td>-0.006378</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chocolate_chips</th>\n",
       "      <td>-0.226368</td>\n",
       "      <td>1.397066</td>\n",
       "      <td>-1.208100</td>\n",
       "      <td>-1.645448</td>\n",
       "      <td>-0.312818</td>\n",
       "      <td>-0.345273</td>\n",
       "      <td>-0.420425</td>\n",
       "      <td>-1.341062</td>\n",
       "      <td>-0.483876</td>\n",
       "      <td>0.561314</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.389309</td>\n",
       "      <td>-0.455137</td>\n",
       "      <td>-0.152339</td>\n",
       "      <td>-0.173965</td>\n",
       "      <td>-0.594393</td>\n",
       "      <td>1.955030</td>\n",
       "      <td>-1.134501</td>\n",
       "      <td>2.207914</td>\n",
       "      <td>-0.551312</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>orange</th>\n",
       "      <td>-0.163043</td>\n",
       "      <td>1.603867</td>\n",
       "      <td>0.601673</td>\n",
       "      <td>1.508254</td>\n",
       "      <td>-0.964408</td>\n",
       "      <td>-1.057155</td>\n",
       "      <td>-1.711324</td>\n",
       "      <td>1.006225</td>\n",
       "      <td>-1.237434</td>\n",
       "      <td>0.208638</td>\n",
       "      <td>...</td>\n",
       "      <td>0.741975</td>\n",
       "      <td>-1.285698</td>\n",
       "      <td>-0.376003</td>\n",
       "      <td>0.006271</td>\n",
       "      <td>1.785554</td>\n",
       "      <td>-0.198888</td>\n",
       "      <td>0.046666</td>\n",
       "      <td>0.183563</td>\n",
       "      <td>-0.278720</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>green_tea</th>\n",
       "      <td>0.571728</td>\n",
       "      <td>-1.175587</td>\n",
       "      <td>1.308713</td>\n",
       "      <td>0.306476</td>\n",
       "      <td>0.342418</td>\n",
       "      <td>-1.306810</td>\n",
       "      <td>-1.144870</td>\n",
       "      <td>-1.585395</td>\n",
       "      <td>1.014943</td>\n",
       "      <td>-1.466980</td>\n",
       "      <td>...</td>\n",
       "      <td>0.223698</td>\n",
       "      <td>-1.185572</td>\n",
       "      <td>-1.006683</td>\n",
       "      <td>-0.777827</td>\n",
       "      <td>-1.459262</td>\n",
       "      <td>0.123885</td>\n",
       "      <td>1.382154</td>\n",
       "      <td>0.542276</td>\n",
       "      <td>0.366592</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>marron</th>\n",
       "      <td>-0.417869</td>\n",
       "      <td>-1.075406</td>\n",
       "      <td>0.532979</td>\n",
       "      <td>-0.914445</td>\n",
       "      <td>1.786432</td>\n",
       "      <td>-0.044534</td>\n",
       "      <td>-0.374487</td>\n",
       "      <td>1.070083</td>\n",
       "      <td>0.676474</td>\n",
       "      <td>-0.098205</td>\n",
       "      <td>...</td>\n",
       "      <td>0.717336</td>\n",
       "      <td>-1.056936</td>\n",
       "      <td>2.097705</td>\n",
       "      <td>0.316135</td>\n",
       "      <td>0.056157</td>\n",
       "      <td>-1.317938</td>\n",
       "      <td>-1.652146</td>\n",
       "      <td>1.211806</td>\n",
       "      <td>-0.207068</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chocolate_mint</th>\n",
       "      <td>2.479726</td>\n",
       "      <td>0.615435</td>\n",
       "      <td>0.196853</td>\n",
       "      <td>-0.823584</td>\n",
       "      <td>0.517045</td>\n",
       "      <td>-0.232910</td>\n",
       "      <td>-0.176752</td>\n",
       "      <td>0.699204</td>\n",
       "      <td>-0.097836</td>\n",
       "      <td>0.052221</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.526064</td>\n",
       "      <td>0.089772</td>\n",
       "      <td>-0.546567</td>\n",
       "      <td>1.250871</td>\n",
       "      <td>0.076260</td>\n",
       "      <td>0.314771</td>\n",
       "      <td>-0.771863</td>\n",
       "      <td>-0.646678</td>\n",
       "      <td>2.935754</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>adzuki-bean</th>\n",
       "      <td>-0.668130</td>\n",
       "      <td>-1.105096</td>\n",
       "      <td>0.012550</td>\n",
       "      <td>-0.540319</td>\n",
       "      <td>1.158416</td>\n",
       "      <td>0.609084</td>\n",
       "      <td>-1.707344</td>\n",
       "      <td>0.230584</td>\n",
       "      <td>1.210701</td>\n",
       "      <td>0.284971</td>\n",
       "      <td>...</td>\n",
       "      <td>0.166729</td>\n",
       "      <td>1.934876</td>\n",
       "      <td>-1.774055</td>\n",
       "      <td>0.258055</td>\n",
       "      <td>1.807181</td>\n",
       "      <td>0.995216</td>\n",
       "      <td>-0.143440</td>\n",
       "      <td>-0.262790</td>\n",
       "      <td>-0.692393</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>21 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                       0         1         2         3         4         5   \\\n",
       "vanilla         -1.268569 -0.010424  2.318349 -1.735447 -1.382064 -0.570599   \n",
       "strawberry      -0.362126  0.514187  0.828758  0.426349 -0.025311  2.404494   \n",
       "milk_tea        -0.779537 -0.468727  0.444315  1.064407  0.688036 -0.497059   \n",
       "macadamia_nuts   0.311445 -1.707769 -0.817274  0.556034 -0.726757 -0.206691   \n",
       "cookie          -1.458831 -0.541890 -1.499313 -1.012749 -0.970025 -0.217802   \n",
       "chocolate       -0.024004  1.132431 -1.190455 -1.116673  0.047021 -0.392829   \n",
       "melon           -0.756543  1.807738  0.328962  1.286306 -0.179994  1.727251   \n",
       "coffee          -0.648979  0.384299 -0.061586  1.070261 -0.617858 -2.339395   \n",
       "almond           0.550480 -0.495058 -1.684024  0.228919 -1.399948  0.656078   \n",
       "rum_raisin       0.758196 -0.874934  1.325704 -0.696747 -1.694727  1.315742   \n",
       "mint             2.475583  0.859536  0.378847 -0.319773  0.466233 -0.320964   \n",
       "banana          -0.786982  0.541323 -0.029725 -0.167910  1.884516  0.144592   \n",
       "caramel         -0.416261  0.307764 -0.745029 -0.023985  1.369855  0.119922   \n",
       "walnut           0.654143 -1.271467 -1.070062  0.780755 -0.384990  0.521873   \n",
       "cassis           0.175942 -0.437288  0.027866  1.769319  0.398931  0.032984   \n",
       "chocolate_chips -0.226368  1.397066 -1.208100 -1.645448 -0.312818 -0.345273   \n",
       "orange          -0.163043  1.603867  0.601673  1.508254 -0.964408 -1.057155   \n",
       "green_tea        0.571728 -1.175587  1.308713  0.306476  0.342418 -1.306810   \n",
       "marron          -0.417869 -1.075406  0.532979 -0.914445  1.786432 -0.044534   \n",
       "chocolate_mint   2.479726  0.615435  0.196853 -0.823584  0.517045 -0.232910   \n",
       "adzuki-bean     -0.668130 -1.105096  0.012550 -0.540319  1.158416  0.609084   \n",
       "\n",
       "                       6         7         8         9  ...         11  \\\n",
       "vanilla          0.043304  1.511889 -0.791865  0.436107 ...  -1.055257   \n",
       "strawberry      -0.876892 -1.471251 -1.200159 -1.630133 ...  -0.141087   \n",
       "milk_tea         1.139735 -0.838651 -2.017942 -0.732853 ...   0.620420   \n",
       "macadamia_nuts   0.128000  0.437522 -0.584647 -0.277903 ...   0.306305   \n",
       "cookie           0.046312  0.042097  0.123070 -0.748735 ...  -0.932264   \n",
       "chocolate       -1.139540 -1.087155  0.334334  0.564087 ...   1.118716   \n",
       "melon            0.311477  1.155671  2.276051 -0.372793 ...   0.155506   \n",
       "coffee           1.278930 -0.390519  1.665691 -0.372049 ...   0.285845   \n",
       "almond           0.592646  0.189591  0.259340 -1.010834 ...  -0.328161   \n",
       "rum_raisin       1.577272 -1.163327  0.606388  1.541298 ...   1.407346   \n",
       "mint             0.773151  0.393056 -0.076465 -0.841273 ...  -0.483645   \n",
       "banana           1.804551 -0.182355 -0.200982 -0.191326 ...  -1.943758   \n",
       "caramel          1.009636  0.779210 -0.950273  0.988364 ...   2.396436   \n",
       "walnut          -0.584456  1.621193 -0.567737  0.168249 ...  -0.460775   \n",
       "cassis          -0.568923 -1.076611  0.042224  2.937834 ...  -1.879992   \n",
       "chocolate_chips -0.420425 -1.341062 -0.483876  0.561314 ...  -0.389309   \n",
       "orange          -1.711324  1.006225 -1.237434  0.208638 ...   0.741975   \n",
       "green_tea       -1.144870 -1.585395  1.014943 -1.466980 ...   0.223698   \n",
       "marron          -0.374487  1.070083  0.676474 -0.098205 ...   0.717336   \n",
       "chocolate_mint  -0.176752  0.699204 -0.097836  0.052221 ...  -0.526064   \n",
       "adzuki-bean     -1.707344  0.230584  1.210701  0.284971 ...   0.166729   \n",
       "\n",
       "                       12        13        14        15        16        17  \\\n",
       "vanilla          1.253882  0.161477 -0.764865 -0.873683 -0.220023  0.611576   \n",
       "strawberry       0.766327  1.667694  0.562325 -0.354102  0.694906 -0.089582   \n",
       "milk_tea         0.552054 -1.535757  0.319772 -0.017558 -1.123373 -1.692677   \n",
       "macadamia_nuts  -0.170283  1.760713 -0.091957  1.472463  1.285529  1.478071   \n",
       "cookie          -1.312443 -0.615876  2.710530 -0.165078 -0.890660  0.740134   \n",
       "chocolate        0.250017  0.734378 -1.603384  0.098381 -1.807891  0.297841   \n",
       "melon           -0.528329 -0.471845  0.102185 -0.714128 -0.071846  0.151355   \n",
       "coffee           1.298504  1.175483  0.370414 -0.071359  1.163895 -1.140516   \n",
       "almond           1.373537 -0.468381 -1.293856  0.259451 -1.615691 -0.030436   \n",
       "rum_raisin      -1.161449 -0.504667  0.011647  0.902407  0.098465 -0.495305   \n",
       "mint             0.695011  0.245291  0.672047  0.181762 -0.547809  0.831097   \n",
       "banana          -1.264642 -0.229517 -1.701019  1.434517  0.439941  0.682724   \n",
       "caramel          0.570968 -0.323404  0.456950 -1.432679  0.629128  1.880440   \n",
       "walnut          -0.857318 -0.409739 -1.346983 -1.724783  1.025217 -1.389702   \n",
       "cassis           0.492859  0.572092  0.716653 -0.667108 -0.931865  0.438111   \n",
       "chocolate_chips -0.455137 -0.152339 -0.173965 -0.594393  1.955030 -1.134501   \n",
       "orange          -1.285698 -0.376003  0.006271  1.785554 -0.198888  0.046666   \n",
       "green_tea       -1.185572 -1.006683 -0.777827 -1.459262  0.123885  1.382154   \n",
       "marron          -1.056936  2.097705  0.316135  0.056157 -1.317938 -1.652146   \n",
       "chocolate_mint   0.089772 -0.546567  1.250871  0.076260  0.314771 -0.771863   \n",
       "adzuki-bean      1.934876 -1.774055  0.258055  1.807181  0.995216 -0.143440   \n",
       "\n",
       "                       18        19   20  \n",
       "vanilla          0.083070  0.236653  0.0  \n",
       "strawberry      -0.932507  0.166717  0.0  \n",
       "milk_tea         0.412158  0.103314  0.0  \n",
       "macadamia_nuts   0.876822  0.710690  0.0  \n",
       "cookie          -0.963135 -0.323201  0.0  \n",
       "chocolate       -1.776110  0.191992  0.0  \n",
       "melon            0.855306  0.350534  0.0  \n",
       "coffee          -1.129070  0.017762  0.0  \n",
       "almond           1.522342  0.724886  0.0  \n",
       "rum_raisin      -0.498085 -0.381438  0.0  \n",
       "mint             0.141547 -2.933925  0.0  \n",
       "banana          -0.763381  0.319720  0.0  \n",
       "caramel          0.044279  0.263840  0.0  \n",
       "walnut          -1.592031 -1.014018  0.0  \n",
       "cassis           0.482704 -0.006378  0.0  \n",
       "chocolate_chips  2.207914 -0.551312  0.0  \n",
       "orange           0.183563 -0.278720  0.0  \n",
       "green_tea        0.542276  0.366592  0.0  \n",
       "marron           1.211806 -0.207068  0.0  \n",
       "chocolate_mint  -0.646678  2.935754  0.0  \n",
       "adzuki-bean     -0.262790 -0.692393  0.0  \n",
       "\n",
       "[21 rows x 21 columns]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 左から順に第一因子、第二因子、、、\n",
    "pd.DataFrame(factors, index=val_names)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mbsLn68/y5a+SlJQU0mMtVY007BTj8FOMI0NxDr9oSyqC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\n7rjjDn71q18BBcWX9erVIykpCYBTp07Rq1cvbrnlFiZNmsS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tnz17NtnZ2Rw/fpxGjRrR\npk0bsrKyaN26NQDdu3dn3bp1AOTm5jJhwgS2b99OdHQ0e/fu9bW1efPm1K5dG4Arr7ySjh07AtC4\ncWM2btx43nvbsWMHr7/+OsePHyc7O9t3fKFzY1y4fe211+LxeEoVP+et32rYsCEHDhxg0qRJdOrU\n6bxrRTL9vog8SipEIpDH4yE5+WWio6cRG9uE48f/L5s398Lj8RAfH09UVBSVK1cGICoqitzcXF5/\n/XXatWvHxIkTyczMZOjQoSWePycnh/Hjx5OWlkbdunVJTU3l9OnTwL/+GJ/rrbfe4vLLL2fevHnk\n5eXRqVMn33MxMTG+x2bm2zYzX3JT1NixY5k8eTKNGjViyZIlfP311xeMR+F7Ldq+SpUqkZ+f79tf\n2P5z1ahRg7lz5/L555+zcOFCPv74Y1588cULXk8kXGlKqZSJ5p0HXjBinJmZCTQgNrYJALGxiUCs\nd3/xTpw4Qd26dQF4//33ffs7dOjAwoULfX/cjx07Rk5ODmZGzZo1OXnyJJ9++ikA1atX57LLLuOb\nb74BYNmyZWedv06dOgB88MEHZ/1BL6uTJ09y+eWXk5ube9Y1Cl0oxoVJxRVXXMH3339Pbm4ux48f\nZ/369b5j4uLiOHHiBABHjx4lLy+PLl26MHToULZv337J7Q43+n0RedRTIRKBEhISgANkZ+8gNrYJ\n2dm7gGzvfnxDGUU99NBDjBkzhhkzZnDjjTf69vfo0YM9e/bQv39/KleuTM+ePbn//vvp0aMHffr0\noU6dOrRo0cJ3/OjRoxk7dixRUVFnFWred999jBw5kg8++IAbbriBqlWrFtv24tp2rqFDhzJw4EDi\n4+P5+c9/zsmTJ0s89tzzFW7Xr1+fW2+9lb59+9KgQQOaNm3qO+bee+/lySefpG7duowYMYKUlBSc\nc5gZw4YNu2j7RMKV1qkQiVCFNRXOJWCWyZQpo+jW7fZQN0tEyqC8rVOhpEIkgnk8HjIzM0lISCA+\nPj7UzRGRMlJSEUBKKgJP884DTzEOjDfeeINPPvkEM+PgwYNcccUV3HLLLTz88MOhblrY0mc58Mpb\nUqGaChGJCI888giPPPIIoD92IoGingoREZEKqrz1VGhKqYiIiPiFkgopE807DzzFOPAU4+BQnCOP\nkgoRERHxC9VUiIiIVFCqqRAREZGwpKRCykRjpIGnGAeeYhwcinPkUVIhIiIifqGaChERkQpKNRUi\nIiISlpRUSJlojDTwFOPAU4yDQ3GOPEoqRERExC9UUyEiIlJBqaZCREREwpKSCikTjZEGnmIceIpx\ncCjOkUdJhYiIiPiFaipEREQqKNVUiIiISFhSUiFlojHSwFOMA08xDg7FOfIoqRARERG/UE2FiIhI\nBaWaChEREQlLSiqkTDRGGniKceApxsGhOEeekCUVZjbBzDLMLN3M3jGzy0o4rpuZbTOz78zsuWC3\nU86Wnp4e6iaEPcU48BTj4FCcI08oeyqWAy2cc22AHcDz5x5gZlHAq8CvgBZAfzNrGtRWyll+/PHH\nUDch7CnGgacYB4fiHHlCllQ45z52zuV7N78ArizmsPbADufcHufcGWAe0CNYbRQREZHSKy81FY8A\ny4rZ3xDYV2R7v3efhMju3btD3YSwpxgHnmIcHIpz5AnolFIzWwHUL7oLcMALzrn3vce8AFzvnOtd\nzOt7A79yzg32bg8A2jvnnizheppPKiIiEaU8TSmtFMiTO+duu9DzZjYI6A50LeGQH4Crimxf6d1X\n0vXKTWBFREQiTShnf3QDngXucc6dLuGw9UBjM7vazGKAfsDiYLVRRERESi+UNRVTgerACjP72sz+\nCmBmCWa2BMA5lwcMo2CmyN+Bec65jFA1WEREREoWVst0i4iISOiUl9kfflHaBbXkpzGz+8xsi5nl\nmdn1oW5PONFib4FlZjPM7JCZbQ51W8KVmV1pZp+a2d/N7FszK7awXn4aM6tiZl+a2SZvnMeEuk0Q\nZkkFpVhQS/ziW+Be4LNQNyScaLG3oJhJQXwlcHKBEc65FsANwBP6HPuftxaxi3OuLdAGuMPM2oe4\nWeGVVJRyQS35iZxz251zOyiYIiz+o8XeAsw5txbwhLod4cw5d9A5l+59nAVkoPWFAsI5d9L7sAoF\nszlDXs8QVknFOUpaUEukvNJibxJWzOwaCr5FfxnaloQnM4sys03AQWCFc259qNsU0HUqAqEMC2qd\ncc69HYImhoXSxFlEpCRmVh34G/CUt8dC/MzbM9/WWz/4rpk1d85tDWWbKlxS4YcFtaQULhZnCYgy\nLfYmUl6ZWSUKEoo5zrn3Qt2ecOecO2ZmK4FuQEiTirAa/ijlglriX6qr8B8t9hYchj63gfYGsNU5\n9+dQNyRcmVkdM6vpfVwVuA3YFtpWhVlSQQkLaol/mVlPM9sHdASWmJlqV/xAi70Fnpm9DawDfmZm\ne83s4VC3KdyYWScgCejqne74tfcLn/hXArDSzNIpqFn5yDm3NMRt0uJXIiIi4h/h1lMhIiIiIaKk\nQkRERPxCSYWIiIj4hZIKERER8QslFSIiIuIXSipERETEL5RUiISAmdUuMoc/08z2ex97zGzLTzhv\njJkVrtNyv5mlluUOkWbWo6TjvYvtfGFmG71rEZSlXa3N7I6yvEZEKp4Kt0y3SDhwzv0TaAtgZqOB\nLOfcZDO7Gvgp91a5vuD07nrv9oLiDjKzqCJ39C2qJ7CE4lfmuxXY7JwbfAntagP8gjLc5M/Mor0L\nggVEoM8vEonUUyESeucuGV3J28Owxcw+NLMqAGaWaGbLzGy9mX1mZj876yRmdYE5QDtvT0Wima00\ns+u9zx83s0neuxp2NLM/mtnfzSzdzCaY2Q3APcAE7+uvLXLu1sB4oKf3uSpm9lcz+8rMvjWzMUWO\nbWdm/9d73i+8NzsaC/Qp0oMSb2aLzOwbM1tnZj/3vnaMmc02s7XA7HPe3xXe9/21mW0u7C0xs27e\n3pNN3hvhUdrze+/yOMHMvvS29zc/7T+lSIRzzulHP/oJ4Q8wBhjhfXw1cAZo6d2eDzzgffwx0Mj7\nuD3wSTHn+ndgcZHtlcD13sf5QG/v49rAtiLHXeb9dybQq4R2DgT+UmS7lvffKO91fg5UBnYWuWZ1\nILqY1/4FeNH7uAuwqUgs1gMxxVx/BPC897EBcUAdYC9w1TltKtX5gd8A/+F9HON97upQfyb0o5+K\n+qPhD5HyZ5dz7lvv443ANWYWB/wSWGBmhT0blct43lxgoffxUeCUmU0HPqBgyKOs+nm/2VcCrgCa\ne/cfcM59DeC8t7z+V5N9bgR6eY9Z6a0xqe59brFzLqeY660HZphZZeA959w3ZtYF+Mw5t9d7rh/L\neP7bgZZmdr93+zKgCbCnrMEQEdVUiJRHRe+wmwfEUtAb4HH/qpW4FNnOOQcFNy8zs/bALcD9FNzI\n7JbSnsjMrgGeBv7NFdx2eaa3nVC6O4Be6KZDJ4p9gXNrzKwzcCcw08wmAz+WcL3Snt+A4c65FRdp\nr4iUgmoqRMqf8/5IOueOA9+b2X2+g8xaXep5vT0ftZxzH1IwrFB4ruMUfFu/mMuALOC4mdUHCmd2\nbAeuMLN/816nuplFF3PeNcAA7zE3A/8o7NUosfFmVwGHnXMzgBkUFKV+AdzkLXDFzOLLeP6PgMfN\nrJL32CZWcBtpEbkE6qkQKX9K+pY9APgvM/sdBf/vzgM2l+FcRR/XAN4zs8LehWTvv/OA/zaz4cB9\nzrnviz2pc5ut4JbLGcA+YK13/xkz6wu86v3jfJKCWSMrgVFm9jXwR+AlCnobvqGg5+Chi7wPgJuB\nZ83sDAVJykPOuX+Y2WBgkXdY6DDwKyAFeKMU558OXAN8XeT1PUvRFhEphm59LiIiIn6h4Q8RERHx\nCyUVIiIi4hdKKkRERMQvlFSIiIiIXyipEBEREb9QUiEiIiJ+oaRCRERE/OL/AznzDtOvdX37AAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119ec3290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 第一因子と第二因子でプロットする\n",
    "plt.figure(figsize=(8, 8))\n",
    "for x, y, name in zip(factors[:, 0], factors[:, 1], val_names):\n",
    "    plt.text(x, y, name, alpha=0.8, size=10)\n",
    "plt.scatter(factors[:, 0], factors[:, 1], alpha=0.8)\n",
    "plt.title(\"Factor Analysis\")\n",
    "plt.xlabel(\"The first factor score\")\n",
    "plt.ylabel(\"The second factor score\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__課題8.7__：上と同様にして、第三因子と第四因子でプロットしてください。また、以上の結果から、アイスクリームの味の好みについて何が言えそうか考察してください。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 9.　[因子分析(2)](http://kogolab.chillout.jp/elearn/icecream/chap9/sec0.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 9.1　[単純構造](http://kogolab.chillout.jp/elearn/icecream/chap9/sec1.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 9.2　[因子得点](http://kogolab.chillout.jp/elearn/icecream/chap9/sec2.html)\n",
    "本文を読んで概念を学んでください。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 9.3　[通過テスト](http://kogolab.chillout.jp/elearn/icecream/chap9/sec3.html)\n",
    "今までは、アイスクリーム間の関係を解析しましたが、ここからは、人の間の関係を解析します。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__課題9.3__：[アイスクリームアンケート調査結果](https://raw.githubusercontent.com/maskot1977/ipython_notebook/master/toydata/icecream_chosa.txt)をダウンロードして、先ほどの matrix と縦横を入れ替えた matrixTを作成してください。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 縦横入れ替えた matrixT を作成\n",
    "matrixT = []\n",
    "val_names = []\n",
    "ids = []\n",
    "sta = 5\n",
    "for i, line in enumerate(open(\"icecream_chosa.txt\")):\n",
    "    if i == 0:\n",
    "        for j, val in enumerate(line.split()):\n",
    "            val_names.append(val)\n",
    "    else:\n",
    "        vec = []\n",
    "        for j, val in enumerate(line.split()):\n",
    "            if j == 0:\n",
    "                ids.append(val)\n",
    "            vec.append(float(val))\n",
    "        matrixT.append(vec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "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>ID</th>\n",
       "      <th>gender</th>\n",
       "      <th>age</th>\n",
       "      <th>birth_order</th>\n",
       "      <th>frequency</th>\n",
       "      <th>vanilla</th>\n",
       "      <th>strawberry</th>\n",
       "      <th>milk_tea</th>\n",
       "      <th>macadamia_nuts</th>\n",
       "      <th>cookie</th>\n",
       "      <th>...</th>\n",
       "      <th>banana</th>\n",
       "      <th>caramel</th>\n",
       "      <th>walnut</th>\n",
       "      <th>cassis</th>\n",
       "      <th>chocolate_chips</th>\n",
       "      <th>orange</th>\n",
       "      <th>green_tea</th>\n",
       "      <th>marron</th>\n",
       "      <th>chocolate_mint</th>\n",
       "      <th>adzuki-bean</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>6.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>7.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>10.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>11.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>12.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>13.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>14.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>15.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>16.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>17.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>18.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>19.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>22.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>23.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>24.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>25.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>26.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>27.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>28.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>29.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>30.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</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",
       "      <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>50</th>\n",
       "      <td>51.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>52.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>53.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>54.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>55.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>56.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>57.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>58.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>59.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>60.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>61.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>62.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>63.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>64.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>65.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>66.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>67.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>68.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>69.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>70.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>71.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>72.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>73.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>74.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>75.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>76.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>77.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>78.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>79.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>80.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>80 rows × 26 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      ID  gender   age  birth_order  frequency  vanilla  strawberry  milk_tea  \\\n",
       "0    1.0     2.0  20.0          2.0        5.0      7.0         7.0       8.0   \n",
       "1    2.0     2.0  21.0          2.0        1.0      7.0         8.0       9.0   \n",
       "2    3.0     2.0  21.0          3.0        2.0      7.0         4.0       3.0   \n",
       "3    4.0     2.0  21.0          4.0        3.0      9.0         6.0       6.0   \n",
       "4    5.0     2.0  21.0          4.0        2.0      9.0         5.0       7.0   \n",
       "5    6.0     2.0  21.0          2.0        5.0      5.0         7.0       5.0   \n",
       "6    7.0     2.0  21.0          2.0        2.0      9.0         7.0       6.0   \n",
       "7    8.0     2.0  20.0          2.0        4.0      7.0         7.0       6.0   \n",
       "8    9.0     2.0  21.0          2.0        4.0      7.0         7.0       4.0   \n",
       "9   10.0     2.0  22.0          4.0        4.0      5.0         5.0       9.0   \n",
       "10  11.0     2.0  22.0          2.0        3.0      8.0         1.0       8.0   \n",
       "11  12.0     2.0  21.0          4.0        3.0      9.0         4.0       7.0   \n",
       "12  13.0     2.0  21.0          4.0        4.0      7.0         7.0       6.0   \n",
       "13  14.0     2.0  20.0          4.0        2.0      9.0         6.0       4.0   \n",
       "14  15.0     2.0  20.0          2.0        4.0      8.0         7.0       5.0   \n",
       "15  16.0     2.0  21.0          4.0        2.0      7.0         4.0       7.0   \n",
       "16  17.0     2.0  20.0          2.0        2.0      6.0         4.0       2.0   \n",
       "17  18.0     2.0  20.0          3.0        2.0      8.0         7.0       5.0   \n",
       "18  19.0     2.0  21.0          4.0        6.0      5.0         9.0       8.0   \n",
       "19  20.0     2.0  20.0          4.0        2.0      6.0         6.0       6.0   \n",
       "20  21.0     2.0  21.0          4.0        3.0      9.0         9.0       6.0   \n",
       "21  22.0     2.0  21.0          1.0        4.0      7.0         9.0       9.0   \n",
       "22  23.0     2.0  21.0          2.0        4.0      8.0         8.0       9.0   \n",
       "23  24.0     2.0  20.0          4.0        4.0      7.0         7.0       6.0   \n",
       "24  25.0     2.0  20.0          1.0        3.0      7.0         6.0       7.0   \n",
       "25  26.0     2.0  21.0          4.0        4.0      7.0         5.0       8.0   \n",
       "26  27.0     2.0  20.0          2.0        5.0      7.0         9.0       7.0   \n",
       "27  28.0     2.0  21.0          2.0        4.0      7.0         6.0       1.0   \n",
       "28  29.0     2.0  21.0          3.0        4.0      6.0         7.0       7.0   \n",
       "29  30.0     2.0  21.0          4.0        4.0      7.0         7.0       7.0   \n",
       "..   ...     ...   ...          ...        ...      ...         ...       ...   \n",
       "50  51.0     1.0  19.0          2.0        6.0      7.0         8.0       6.0   \n",
       "51  52.0     1.0  21.0          1.0        2.0      9.0         4.0       5.0   \n",
       "52  53.0     1.0  20.0          1.0        5.0      9.0         8.0       7.0   \n",
       "53  54.0     1.0  21.0          4.0        5.0      8.0         8.0       7.0   \n",
       "54  55.0     1.0  19.0          4.0        4.0      7.0         7.0       8.0   \n",
       "55  56.0     1.0  20.0          2.0        2.0      5.0         7.0       5.0   \n",
       "56  57.0     1.0  22.0          1.0        3.0      9.0         9.0       9.0   \n",
       "57  58.0     1.0  19.0          1.0        3.0      9.0         3.0       5.0   \n",
       "58  59.0     1.0  20.0          2.0        3.0      7.0         7.0       7.0   \n",
       "59  60.0     1.0  20.0          4.0        8.0      7.0         8.0       8.0   \n",
       "60  61.0     1.0  18.0          2.0        4.0      6.0         4.0       3.0   \n",
       "61  62.0     1.0  25.0          2.0        3.0      7.0         8.0       6.0   \n",
       "62  63.0     1.0  19.0          2.0        2.0      6.0         6.0       7.0   \n",
       "63  64.0     1.0  21.0          2.0        4.0      8.0         7.0       9.0   \n",
       "64  65.0     1.0  21.0          2.0        6.0      7.0         8.0       5.0   \n",
       "65  66.0     1.0  20.0          2.0        1.0      7.0         7.0       7.0   \n",
       "66  67.0     1.0  22.0          2.0        5.0      7.0         7.0       5.0   \n",
       "67  68.0     1.0  21.0          2.0        5.0      5.0         5.0       6.0   \n",
       "68  69.0     1.0  21.0          3.0        1.0      8.0         7.0       5.0   \n",
       "69  70.0     1.0  21.0          2.0        6.0      7.0         7.0       9.0   \n",
       "70  71.0     1.0  22.0          4.0        4.0      7.0         7.0       6.0   \n",
       "71  72.0     1.0  24.0          1.0        2.0      6.0         7.0       5.0   \n",
       "72  73.0     1.0  20.0          2.0        2.0      6.0         6.0       5.0   \n",
       "73  74.0     1.0  20.0          2.0        5.0      8.0         8.0       4.0   \n",
       "74  75.0     1.0  21.0          2.0        6.0      4.0         6.0       2.0   \n",
       "75  76.0     1.0  20.0          2.0        4.0      5.0         6.0       4.0   \n",
       "76  77.0     1.0  20.0          3.0        6.0      7.0         5.0       6.0   \n",
       "77  78.0     1.0  23.0          1.0        5.0      4.0         8.0       8.0   \n",
       "78  79.0     1.0  23.0          4.0        7.0      9.0         7.0       7.0   \n",
       "79  80.0     1.0  22.0          2.0        2.0      8.0         5.0       5.0   \n",
       "\n",
       "    macadamia_nuts  cookie     ...       banana  caramel  walnut  cassis  \\\n",
       "0              3.0     9.0     ...          7.0      9.0     3.0     3.0   \n",
       "1              9.0     9.0     ...          4.0      7.0     8.0     9.0   \n",
       "2              3.0     6.0     ...          4.0      6.0     3.0     3.0   \n",
       "3              5.0     8.0     ...          4.0      9.0     5.0     4.0   \n",
       "4              5.0     6.0     ...          6.0      6.0     6.0     5.0   \n",
       "5              5.0     5.0     ...          5.0      9.0     5.0     8.0   \n",
       "6              3.0     7.0     ...          6.0      7.0     5.0     5.0   \n",
       "7              8.0     7.0     ...          5.0      6.0     7.0     9.0   \n",
       "8              8.0     7.0     ...          5.0      7.0     7.0     6.0   \n",
       "9              5.0     8.0     ...          8.0      7.0     2.0     8.0   \n",
       "10             9.0     7.0     ...          4.0      9.0     7.0     6.0   \n",
       "11             5.0     8.0     ...          4.0      4.0     5.0     8.0   \n",
       "12             8.0     8.0     ...          5.0      9.0     7.0     5.0   \n",
       "13             6.0     9.0     ...          6.0      7.0     8.0     4.0   \n",
       "14             5.0     5.0     ...          4.0      4.0     6.0     5.0   \n",
       "15             4.0     7.0     ...          6.0      6.0     6.0     6.0   \n",
       "16             2.0     7.0     ...          4.0      6.0     6.0     5.0   \n",
       "17             5.0     6.0     ...          3.0      5.0     4.0     5.0   \n",
       "18             5.0     7.0     ...          6.0      6.0     7.0     7.0   \n",
       "19             8.0     8.0     ...          5.0      7.0     7.0     7.0   \n",
       "20             6.0     8.0     ...          7.0      6.0     5.0     9.0   \n",
       "21             7.0     9.0     ...          8.0      8.0     8.0     5.0   \n",
       "22             8.0     8.0     ...          5.0      8.0     8.0     4.0   \n",
       "23             5.0     4.0     ...          9.0      9.0     3.0     7.0   \n",
       "24             9.0     9.0     ...          6.0      8.0     8.0     5.0   \n",
       "25             7.0     9.0     ...          5.0      4.0     4.0     8.0   \n",
       "26             7.0     8.0     ...          2.0      8.0     8.0     9.0   \n",
       "27             7.0     8.0     ...          3.0      6.0     6.0     4.0   \n",
       "28             8.0     8.0     ...          5.0      9.0     8.0     7.0   \n",
       "29             7.0     9.0     ...          9.0      9.0     5.0     5.0   \n",
       "..             ...     ...     ...          ...      ...     ...     ...   \n",
       "50             3.0     5.0     ...          4.0      5.0     2.0     3.0   \n",
       "51             3.0     7.0     ...          8.0      6.0     2.0     4.0   \n",
       "52             6.0     9.0     ...          7.0      9.0     7.0     6.0   \n",
       "53             5.0     7.0     ...          5.0      4.0     4.0     4.0   \n",
       "54             7.0     6.0     ...          5.0      6.0     5.0     9.0   \n",
       "55             5.0     5.0     ...          4.0      6.0     5.0     5.0   \n",
       "56             9.0     9.0     ...          7.0      8.0     6.0     6.0   \n",
       "57             7.0     6.0     ...          5.0      1.0     6.0     3.0   \n",
       "58             4.0     6.0     ...          7.0      8.0     3.0     6.0   \n",
       "59             5.0     7.0     ...          5.0      6.0     4.0     5.0   \n",
       "60             5.0     9.0     ...          3.0      4.0     3.0     5.0   \n",
       "61             5.0     9.0     ...          7.0      5.0     5.0     5.0   \n",
       "62             7.0     7.0     ...          6.0      8.0     7.0     5.0   \n",
       "63             6.0     9.0     ...          8.0      4.0     5.0     9.0   \n",
       "64             4.0     6.0     ...          4.0      7.0     7.0     5.0   \n",
       "65             7.0     8.0     ...          7.0      4.0     6.0     5.0   \n",
       "66             4.0     8.0     ...          5.0      3.0     3.0     4.0   \n",
       "67             7.0     7.0     ...          5.0      5.0     9.0     6.0   \n",
       "68             5.0     7.0     ...          6.0      5.0     4.0     5.0   \n",
       "69             8.0     9.0     ...          9.0      9.0     8.0     6.0   \n",
       "70             6.0     8.0     ...          5.0      7.0     5.0     5.0   \n",
       "71             6.0     4.0     ...          4.0      2.0     6.0     8.0   \n",
       "72             8.0     8.0     ...          6.0      7.0     8.0     7.0   \n",
       "73             8.0     9.0     ...          5.0      4.0     8.0     8.0   \n",
       "74             3.0     6.0     ...          3.0      2.0     3.0     2.0   \n",
       "75             9.0     6.0     ...          5.0      5.0     5.0     5.0   \n",
       "76             6.0     8.0     ...          3.0      9.0     5.0     5.0   \n",
       "77             9.0     9.0     ...          6.0      8.0     9.0     5.0   \n",
       "78             5.0     4.0     ...          9.0      7.0     4.0     5.0   \n",
       "79             2.0     5.0     ...          4.0      5.0     5.0     5.0   \n",
       "\n",
       "    chocolate_chips  orange  green_tea  marron  chocolate_mint  adzuki-bean  \n",
       "0               9.0     7.0        8.0     8.0             1.0          7.0  \n",
       "1               9.0     4.0        7.0     7.0             8.0          9.0  \n",
       "2               6.0     7.0        3.0     7.0             3.0          3.0  \n",
       "3               8.0     9.0        1.0     2.0             1.0          3.0  \n",
       "4               9.0     6.0        6.0     6.0             9.0          1.0  \n",
       "5               8.0     9.0        9.0     5.0             9.0          1.0  \n",
       "6               9.0     9.0        3.0     5.0             2.0          3.0  \n",
       "7               5.0     6.0        8.0     5.0             6.0          8.0  \n",
       "8               8.0     6.0        3.0     3.0             7.0          3.0  \n",
       "9               8.0     6.0        6.0     2.0             1.0          1.0  \n",
       "10              6.0     7.0        8.0     6.0             4.0          5.0  \n",
       "11              9.0     5.0        6.0     4.0             9.0          7.0  \n",
       "12              9.0     7.0        7.0     6.0             8.0          8.0  \n",
       "13              9.0     9.0        8.0     9.0             7.0          8.0  \n",
       "14              8.0     6.0        9.0     4.0             9.0          5.0  \n",
       "15              4.0     6.0        8.0     5.0             7.0          7.0  \n",
       "16              7.0     5.0        9.0     6.0             9.0          6.0  \n",
       "17              7.0     9.0        8.0     4.0             9.0          4.0  \n",
       "18              8.0     7.0        9.0     5.0             8.0          5.0  \n",
       "19              7.0     6.0        7.0     7.0             8.0          8.0  \n",
       "20              9.0     9.0        9.0     7.0             4.0          8.0  \n",
       "21              8.0     6.0        7.0     8.0             4.0          8.0  \n",
       "22              9.0     8.0        9.0     5.0             5.0          8.0  \n",
       "23              7.0     3.0        5.0     9.0             9.0          9.0  \n",
       "24              8.0     4.0        8.0     9.0             3.0          9.0  \n",
       "25              9.0     8.0        8.0     6.0             1.0          7.0  \n",
       "26              8.0     9.0        6.0     3.0             1.0          7.0  \n",
       "27              8.0     4.0        8.0     7.0             8.0          7.0  \n",
       "28              9.0     7.0        7.0     5.0             5.0          3.0  \n",
       "29              9.0     6.0        9.0     7.0             9.0          6.0  \n",
       "..              ...     ...        ...     ...             ...          ...  \n",
       "50              8.0     5.0        8.0     3.0             8.0          2.0  \n",
       "51              9.0     8.0        7.0     5.0             5.0          9.0  \n",
       "52              9.0     5.0        3.0     9.0             1.0          9.0  \n",
       "53              7.0     6.0        3.0     4.0             6.0          5.0  \n",
       "54              9.0     7.0        9.0     7.0             8.0          9.0  \n",
       "55              9.0     9.0        8.0     5.0             9.0          8.0  \n",
       "56              8.0     7.0        9.0     7.0             1.0          9.0  \n",
       "57              8.0     2.0        7.0     1.0             1.0          3.0  \n",
       "58              7.0     7.0        8.0     6.0             3.0          6.0  \n",
       "59              5.0     8.0        7.0     6.0             5.0          6.0  \n",
       "60              8.0     5.0        1.0     3.0             5.0          1.0  \n",
       "61              9.0     7.0        6.0     6.0             4.0          5.0  \n",
       "62              9.0     5.0        6.0     6.0             8.0          5.0  \n",
       "63              9.0     3.0        6.0     5.0             9.0          1.0  \n",
       "64              6.0     4.0        8.0     5.0             4.0          6.0  \n",
       "65              7.0     7.0        9.0     5.0             5.0          6.0  \n",
       "66              8.0     7.0        8.0     5.0             3.0          4.0  \n",
       "67              9.0     6.0        9.0     7.0             8.0          5.0  \n",
       "68              7.0     8.0        5.0     5.0             5.0          5.0  \n",
       "69              9.0     8.0        9.0     7.0             7.0          7.0  \n",
       "70              9.0     7.0        3.0     7.0             6.0          8.0  \n",
       "71              4.0     7.0        8.0     3.0             2.0          6.0  \n",
       "72              8.0     5.0        8.0     8.0             8.0          7.0  \n",
       "73              9.0     8.0        9.0     6.0             9.0          4.0  \n",
       "74              6.0     8.0        1.0     1.0             2.0          2.0  \n",
       "75              7.0     7.0        4.0     4.0             4.0          4.0  \n",
       "76              9.0     7.0        6.0     5.0             6.0          7.0  \n",
       "77              9.0     9.0        9.0     4.0             9.0          9.0  \n",
       "78              8.0     8.0        5.0     5.0             8.0          4.0  \n",
       "79              5.0     7.0        1.0     1.0             5.0          5.0  \n",
       "\n",
       "[80 rows x 26 columns]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# できあがったMatrixTの中身の確認\n",
    "pd.DataFrame(matrixT, columns=val_names)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# アイスクリームの種類に関するデータは５行目以降なので、MatrixTを作り直してください。\n",
    "matrixT = []\n",
    "val_names = []\n",
    "ids = []\n",
    "gender = []\n",
    "sta = 5\n",
    "for i, line in enumerate(open(\"icecream_chosa.txt\")):\n",
    "    if i == 0:\n",
    "        for j, val in enumerate(line.split()):\n",
    "            if j < sta:\n",
    "                continue\n",
    "            val_names.append(val)\n",
    "    else:\n",
    "        vec = []\n",
    "        for j, val in enumerate(line.split()):\n",
    "            if j == 0:\n",
    "                ids.append(val)\n",
    "            elif j == 1:\n",
    "                gender.append(int(val))\n",
    "            elif j < sta:\n",
    "                continue\n",
    "            else:\n",
    "                vec.append(float(val))\n",
    "        matrixT.append(vec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "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>vanilla</th>\n",
       "      <th>strawberry</th>\n",
       "      <th>milk_tea</th>\n",
       "      <th>macadamia_nuts</th>\n",
       "      <th>cookie</th>\n",
       "      <th>chocolate</th>\n",
       "      <th>melon</th>\n",
       "      <th>coffee</th>\n",
       "      <th>almond</th>\n",
       "      <th>rum_raisin</th>\n",
       "      <th>...</th>\n",
       "      <th>banana</th>\n",
       "      <th>caramel</th>\n",
       "      <th>walnut</th>\n",
       "      <th>cassis</th>\n",
       "      <th>chocolate_chips</th>\n",
       "      <th>orange</th>\n",
       "      <th>green_tea</th>\n",
       "      <th>marron</th>\n",
       "      <th>chocolate_mint</th>\n",
       "      <th>adzuki-bean</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>8.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</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",
       "      <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>50</th>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>8.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>80 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    vanilla  strawberry  milk_tea  macadamia_nuts  cookie  chocolate  melon  \\\n",
       "0       7.0         7.0       8.0             3.0     9.0        9.0    6.0   \n",
       "1       7.0         8.0       9.0             9.0     9.0        9.0    2.0   \n",
       "2       7.0         4.0       3.0             3.0     6.0        4.0    7.0   \n",
       "3       9.0         6.0       6.0             5.0     8.0        6.0    8.0   \n",
       "4       9.0         5.0       7.0             5.0     6.0        8.0    4.0   \n",
       "5       5.0         7.0       5.0             5.0     5.0        7.0    5.0   \n",
       "6       9.0         7.0       6.0             3.0     7.0        9.0    4.0   \n",
       "7       7.0         7.0       6.0             8.0     7.0        6.0    5.0   \n",
       "8       7.0         7.0       4.0             8.0     7.0        7.0    4.0   \n",
       "9       5.0         5.0       9.0             5.0     8.0        8.0    5.0   \n",
       "10      8.0         1.0       8.0             9.0     7.0        9.0    3.0   \n",
       "11      9.0         4.0       7.0             5.0     8.0        4.0    5.0   \n",
       "12      7.0         7.0       6.0             8.0     8.0        9.0    6.0   \n",
       "13      9.0         6.0       4.0             6.0     9.0        9.0    3.0   \n",
       "14      8.0         7.0       5.0             5.0     5.0        9.0    4.0   \n",
       "15      7.0         4.0       7.0             4.0     7.0        3.0    3.0   \n",
       "16      6.0         4.0       2.0             2.0     7.0        6.0    4.0   \n",
       "17      8.0         7.0       5.0             5.0     6.0        8.0    3.0   \n",
       "18      5.0         9.0       8.0             5.0     7.0        5.0    5.0   \n",
       "19      6.0         6.0       6.0             8.0     8.0        6.0    1.0   \n",
       "20      9.0         9.0       6.0             6.0     8.0        7.0    7.0   \n",
       "21      7.0         9.0       9.0             7.0     9.0        8.0    3.0   \n",
       "22      8.0         8.0       9.0             8.0     8.0        8.0    6.0   \n",
       "23      7.0         7.0       6.0             5.0     4.0        7.0    4.0   \n",
       "24      7.0         6.0       7.0             9.0     9.0        8.0    4.0   \n",
       "25      7.0         5.0       8.0             7.0     9.0        9.0    5.0   \n",
       "26      7.0         9.0       7.0             7.0     8.0        5.0    3.0   \n",
       "27      7.0         6.0       1.0             7.0     8.0        8.0    4.0   \n",
       "28      6.0         7.0       7.0             8.0     8.0        9.0    8.0   \n",
       "29      7.0         7.0       7.0             7.0     9.0        9.0    6.0   \n",
       "..      ...         ...       ...             ...     ...        ...    ...   \n",
       "50      7.0         8.0       6.0             3.0     5.0        6.0    6.0   \n",
       "51      9.0         4.0       5.0             3.0     7.0        7.0    1.0   \n",
       "52      9.0         8.0       7.0             6.0     9.0        8.0    6.0   \n",
       "53      8.0         8.0       7.0             5.0     7.0        7.0    8.0   \n",
       "54      7.0         7.0       8.0             7.0     6.0        9.0    5.0   \n",
       "55      5.0         7.0       5.0             5.0     5.0        9.0    5.0   \n",
       "56      9.0         9.0       9.0             9.0     9.0        6.0    6.0   \n",
       "57      9.0         3.0       5.0             7.0     6.0        3.0    2.0   \n",
       "58      7.0         7.0       7.0             4.0     6.0        6.0    7.0   \n",
       "59      7.0         8.0       8.0             5.0     7.0        4.0    4.0   \n",
       "60      6.0         4.0       3.0             5.0     9.0        6.0    4.0   \n",
       "61      7.0         8.0       6.0             5.0     9.0        8.0    7.0   \n",
       "62      6.0         6.0       7.0             7.0     7.0        9.0    5.0   \n",
       "63      8.0         7.0       9.0             6.0     9.0        9.0    6.0   \n",
       "64      7.0         8.0       5.0             4.0     6.0        5.0    5.0   \n",
       "65      7.0         7.0       7.0             7.0     8.0        6.0    5.0   \n",
       "66      7.0         7.0       5.0             4.0     8.0        8.0    5.0   \n",
       "67      5.0         5.0       6.0             7.0     7.0        9.0    6.0   \n",
       "68      8.0         7.0       5.0             5.0     7.0        7.0    6.0   \n",
       "69      7.0         7.0       9.0             8.0     9.0        5.0    8.0   \n",
       "70      7.0         7.0       6.0             6.0     8.0        9.0    6.0   \n",
       "71      6.0         7.0       5.0             6.0     4.0        8.0    8.0   \n",
       "72      6.0         6.0       5.0             8.0     8.0        7.0    3.0   \n",
       "73      8.0         8.0       4.0             8.0     9.0        7.0    3.0   \n",
       "74      4.0         6.0       2.0             3.0     6.0        6.0    8.0   \n",
       "75      5.0         6.0       4.0             9.0     6.0        7.0    4.0   \n",
       "76      7.0         5.0       6.0             6.0     8.0        9.0    4.0   \n",
       "77      4.0         8.0       8.0             9.0     9.0        9.0    4.0   \n",
       "78      9.0         7.0       7.0             5.0     4.0        6.0    7.0   \n",
       "79      8.0         5.0       5.0             2.0     5.0        4.0    7.0   \n",
       "\n",
       "    coffee  almond  rum_raisin     ...       banana  caramel  walnut  cassis  \\\n",
       "0      8.0     3.0         2.0     ...          7.0      9.0     3.0     3.0   \n",
       "1      7.0     7.0         9.0     ...          4.0      7.0     8.0     9.0   \n",
       "2      7.0     6.0         3.0     ...          4.0      6.0     3.0     3.0   \n",
       "3      9.0     6.0         5.0     ...          4.0      9.0     5.0     4.0   \n",
       "4      4.0     4.0         6.0     ...          6.0      6.0     6.0     5.0   \n",
       "5      8.0     5.0         8.0     ...          5.0      9.0     5.0     8.0   \n",
       "6      6.0     5.0         2.0     ...          6.0      7.0     5.0     5.0   \n",
       "7      8.0     7.0         5.0     ...          5.0      6.0     7.0     9.0   \n",
       "8      7.0     6.0         3.0     ...          5.0      7.0     7.0     6.0   \n",
       "9      6.0     3.0         3.0     ...          8.0      7.0     2.0     8.0   \n",
       "10     9.0     4.0         7.0     ...          4.0      9.0     7.0     6.0   \n",
       "11     7.0     5.0         6.0     ...          4.0      4.0     5.0     8.0   \n",
       "12     7.0     7.0         6.0     ...          5.0      9.0     7.0     5.0   \n",
       "13     6.0     8.0         9.0     ...          6.0      7.0     8.0     4.0   \n",
       "14     5.0     4.0         3.0     ...          4.0      4.0     6.0     5.0   \n",
       "15     7.0     5.0         3.0     ...          6.0      6.0     6.0     6.0   \n",
       "16     5.0     5.0         8.0     ...          4.0      6.0     6.0     5.0   \n",
       "17     5.0     6.0         3.0     ...          3.0      5.0     4.0     5.0   \n",
       "18     5.0     9.0         4.0     ...          6.0      6.0     7.0     7.0   \n",
       "19     5.0     7.0         8.0     ...          5.0      7.0     7.0     7.0   \n",
       "20     9.0     6.0         6.0     ...          7.0      6.0     5.0     9.0   \n",
       "21     1.0     6.0         1.0     ...          8.0      8.0     8.0     5.0   \n",
       "22     6.0     6.0         9.0     ...          5.0      8.0     8.0     4.0   \n",
       "23     5.0     5.0         8.0     ...          9.0      9.0     3.0     7.0   \n",
       "24     6.0     8.0         9.0     ...          6.0      8.0     8.0     5.0   \n",
       "25     9.0     4.0         4.0     ...          5.0      4.0     4.0     8.0   \n",
       "26     4.0     8.0         9.0     ...          2.0      8.0     8.0     9.0   \n",
       "27     4.0     4.0         6.0     ...          3.0      6.0     6.0     4.0   \n",
       "28     9.0     9.0         6.0     ...          5.0      9.0     8.0     7.0   \n",
       "29     9.0     9.0         9.0     ...          9.0      9.0     5.0     5.0   \n",
       "..     ...     ...         ...     ...          ...      ...     ...     ...   \n",
       "50     6.0     3.0         8.0     ...          4.0      5.0     2.0     3.0   \n",
       "51     5.0     3.0         4.0     ...          8.0      6.0     2.0     4.0   \n",
       "52     9.0     5.0         1.0     ...          7.0      9.0     7.0     6.0   \n",
       "53     4.0     4.0         8.0     ...          5.0      4.0     4.0     4.0   \n",
       "54     9.0     5.0         7.0     ...          5.0      6.0     5.0     9.0   \n",
       "55     5.0     5.0         5.0     ...          4.0      6.0     5.0     5.0   \n",
       "56     9.0     8.0         9.0     ...          7.0      8.0     6.0     6.0   \n",
       "57     4.0     5.0         8.0     ...          5.0      1.0     6.0     3.0   \n",
       "58     7.0     4.0         6.0     ...          7.0      8.0     3.0     6.0   \n",
       "59     4.0     3.0         9.0     ...          5.0      6.0     4.0     5.0   \n",
       "60     3.0     4.0         5.0     ...          3.0      4.0     3.0     5.0   \n",
       "61     7.0     5.0         4.0     ...          7.0      5.0     5.0     5.0   \n",
       "62     6.0     7.0         5.0     ...          6.0      8.0     7.0     5.0   \n",
       "63     9.0     3.0         7.0     ...          8.0      4.0     5.0     9.0   \n",
       "64     5.0     5.0         9.0     ...          4.0      7.0     7.0     5.0   \n",
       "65     9.0     5.0         8.0     ...          7.0      4.0     6.0     5.0   \n",
       "66     5.0     4.0         4.0     ...          5.0      3.0     3.0     4.0   \n",
       "67     6.0     9.0         6.0     ...          5.0      5.0     9.0     6.0   \n",
       "68     5.0     5.0         6.0     ...          6.0      5.0     4.0     5.0   \n",
       "69     8.0     5.0         6.0     ...          9.0      9.0     8.0     6.0   \n",
       "70     5.0     5.0         5.0     ...          5.0      7.0     5.0     5.0   \n",
       "71     7.0     6.0         8.0     ...          4.0      2.0     6.0     8.0   \n",
       "72     6.0     7.0         7.0     ...          6.0      7.0     8.0     7.0   \n",
       "73     6.0     6.0         3.0     ...          5.0      4.0     8.0     8.0   \n",
       "74     5.0     4.0         2.0     ...          3.0      2.0     3.0     2.0   \n",
       "75     3.0     6.0         5.0     ...          5.0      5.0     5.0     5.0   \n",
       "76     4.0     4.0         5.0     ...          3.0      9.0     5.0     5.0   \n",
       "77     8.0     9.0         1.0     ...          6.0      8.0     9.0     5.0   \n",
       "78     7.0     4.0         5.0     ...          9.0      7.0     4.0     5.0   \n",
       "79     1.0     5.0         5.0     ...          4.0      5.0     5.0     5.0   \n",
       "\n",
       "    chocolate_chips  orange  green_tea  marron  chocolate_mint  adzuki-bean  \n",
       "0               9.0     7.0        8.0     8.0             1.0          7.0  \n",
       "1               9.0     4.0        7.0     7.0             8.0          9.0  \n",
       "2               6.0     7.0        3.0     7.0             3.0          3.0  \n",
       "3               8.0     9.0        1.0     2.0             1.0          3.0  \n",
       "4               9.0     6.0        6.0     6.0             9.0          1.0  \n",
       "5               8.0     9.0        9.0     5.0             9.0          1.0  \n",
       "6               9.0     9.0        3.0     5.0             2.0          3.0  \n",
       "7               5.0     6.0        8.0     5.0             6.0          8.0  \n",
       "8               8.0     6.0        3.0     3.0             7.0          3.0  \n",
       "9               8.0     6.0        6.0     2.0             1.0          1.0  \n",
       "10              6.0     7.0        8.0     6.0             4.0          5.0  \n",
       "11              9.0     5.0        6.0     4.0             9.0          7.0  \n",
       "12              9.0     7.0        7.0     6.0             8.0          8.0  \n",
       "13              9.0     9.0        8.0     9.0             7.0          8.0  \n",
       "14              8.0     6.0        9.0     4.0             9.0          5.0  \n",
       "15              4.0     6.0        8.0     5.0             7.0          7.0  \n",
       "16              7.0     5.0        9.0     6.0             9.0          6.0  \n",
       "17              7.0     9.0        8.0     4.0             9.0          4.0  \n",
       "18              8.0     7.0        9.0     5.0             8.0          5.0  \n",
       "19              7.0     6.0        7.0     7.0             8.0          8.0  \n",
       "20              9.0     9.0        9.0     7.0             4.0          8.0  \n",
       "21              8.0     6.0        7.0     8.0             4.0          8.0  \n",
       "22              9.0     8.0        9.0     5.0             5.0          8.0  \n",
       "23              7.0     3.0        5.0     9.0             9.0          9.0  \n",
       "24              8.0     4.0        8.0     9.0             3.0          9.0  \n",
       "25              9.0     8.0        8.0     6.0             1.0          7.0  \n",
       "26              8.0     9.0        6.0     3.0             1.0          7.0  \n",
       "27              8.0     4.0        8.0     7.0             8.0          7.0  \n",
       "28              9.0     7.0        7.0     5.0             5.0          3.0  \n",
       "29              9.0     6.0        9.0     7.0             9.0          6.0  \n",
       "..              ...     ...        ...     ...             ...          ...  \n",
       "50              8.0     5.0        8.0     3.0             8.0          2.0  \n",
       "51              9.0     8.0        7.0     5.0             5.0          9.0  \n",
       "52              9.0     5.0        3.0     9.0             1.0          9.0  \n",
       "53              7.0     6.0        3.0     4.0             6.0          5.0  \n",
       "54              9.0     7.0        9.0     7.0             8.0          9.0  \n",
       "55              9.0     9.0        8.0     5.0             9.0          8.0  \n",
       "56              8.0     7.0        9.0     7.0             1.0          9.0  \n",
       "57              8.0     2.0        7.0     1.0             1.0          3.0  \n",
       "58              7.0     7.0        8.0     6.0             3.0          6.0  \n",
       "59              5.0     8.0        7.0     6.0             5.0          6.0  \n",
       "60              8.0     5.0        1.0     3.0             5.0          1.0  \n",
       "61              9.0     7.0        6.0     6.0             4.0          5.0  \n",
       "62              9.0     5.0        6.0     6.0             8.0          5.0  \n",
       "63              9.0     3.0        6.0     5.0             9.0          1.0  \n",
       "64              6.0     4.0        8.0     5.0             4.0          6.0  \n",
       "65              7.0     7.0        9.0     5.0             5.0          6.0  \n",
       "66              8.0     7.0        8.0     5.0             3.0          4.0  \n",
       "67              9.0     6.0        9.0     7.0             8.0          5.0  \n",
       "68              7.0     8.0        5.0     5.0             5.0          5.0  \n",
       "69              9.0     8.0        9.0     7.0             7.0          7.0  \n",
       "70              9.0     7.0        3.0     7.0             6.0          8.0  \n",
       "71              4.0     7.0        8.0     3.0             2.0          6.0  \n",
       "72              8.0     5.0        8.0     8.0             8.0          7.0  \n",
       "73              9.0     8.0        9.0     6.0             9.0          4.0  \n",
       "74              6.0     8.0        1.0     1.0             2.0          2.0  \n",
       "75              7.0     7.0        4.0     4.0             4.0          4.0  \n",
       "76              9.0     7.0        6.0     5.0             6.0          7.0  \n",
       "77              9.0     9.0        9.0     4.0             9.0          9.0  \n",
       "78              8.0     8.0        5.0     5.0             8.0          4.0  \n",
       "79              5.0     7.0        1.0     1.0             5.0          5.0  \n",
       "\n",
       "[80 rows x 21 columns]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# できあがったMatrixTの中身の確認\n",
    "pd.DataFrame(matrixT, columns=val_names)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__課題9.4__：作成した MatrixT をもとに、アイスクリームの好みに関する相関係数を作成してください。また、その相関行列をカラーマップで図示してください。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# 相関行列を計算し表示する"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# 得られた相関行列をカラーマップで表示する。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "__課題9.5__：作成した matrixT をもとに、アイスクリームの好みに関する因子分析を実行し、８０人の男女を色分けして、第一因子と第二因子でプロットしてください。また、この結果から、アイスクリームの好みに関して言えることを考察してください。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 因子分析の実行"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# 第一因子と第二因子でプロットする"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__今日の課題提出__：計算結果を.ipynb ファイル（または.jsonファイル）として保存し、指定したアドレスまでメールしてください。メールタイトルは「__アイスクリーム統計学789__」とし、メール本文に学籍番号と氏名を明記のこと。また、感想も書いてくれると喜びます。今後の講義の改善につながるかも知れません。"
   ]
  }
 ],
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