XCS Algorithm.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XCS Algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1805,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "import logging\n",
    "import pandas as pd\n",
    "from xcs import XCSAlgorithm\n",
    "from xcs.scenarios import MUXProblem, ScenarioObserver\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import accuracy_score\n",
    "from sklearn.metrics import f1_score\n",
    "from sklearn.metrics import confusion_matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1750,
   "metadata": {},
   "outputs": [],
   "source": [
    "datasetCancer = pd.read_csv('./breast-cancer-wisconsin.csv', header=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1751,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "        0   1   2   3   4   5   6   7   8   9   10\n",
       "0  1000025   5   1   1   1   2   1   3   1   1   2\n",
       "1  1002945   5   4   4   5   7  10   3   2   1   2\n",
       "2  1015425   3   1   1   1   2   2   3   1   1   2\n",
       "3  1016277   6   8   8   1   3   4   3   7   1   2\n",
       "4  1017023   4   1   1   3   2   1   3   1   1   2"
      ]
     },
     "execution_count": 1751,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datasetCancer.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Drop Sample Code Number(ID Number)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1752,
   "metadata": {},
   "outputs": [],
   "source": [
    "datasetCancer = datasetCancer.drop(columns=0, axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Splitting Data for Testing and Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1753,
   "metadata": {},
   "outputs": [],
   "source": [
    "train, test = train_test_split(datasetCancer, test_size=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1754,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(559, 10)"
      ]
     },
     "execution_count": 1754,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1755,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(140, 10)"
      ]
     },
     "execution_count": 1755,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1756,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     1   2   3   4   5   6   7   8   9   10\n",
      "267   3   3   5   2   3  10   7   1   1   4\n",
      "692   3   1   1   1   2   1   1   1   1   2\n",
      "588   9   8   8   9   6   3   4   1   1   4\n",
      "627   2   1   1   1   2   5   1   1   1   2\n",
      "372   4   1   2   1   2   1   2   1   1   2\n"
     ]
    }
   ],
   "source": [
    "print(train.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1757,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(559, 10)"
      ]
     },
     "execution_count": 1757,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Converting empty string values in the column "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1758,
   "metadata": {},
   "outputs": [],
   "source": [
    "def convertEmptyStringValues(val):\n",
    "    if val == '?':\n",
    "        return '0'\n",
    "    else:\n",
    "        return val"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Converting Class type to String value - True for Benign and False for Malignant "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1759,
   "metadata": {},
   "outputs": [],
   "source": [
    "def convertClassValues(val):\n",
    "    if val == 2:\n",
    "        return True\n",
    "    elif val == 4:\n",
    "        return False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Converting non numeric bare-nuclei values to numeric type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1760,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/ashwini/anaconda3/envs/tensorflow-a/lib/python3.6/site-packages/ipykernel_launcher.py:1: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "train[6] = train.apply(lambda row: convertEmptyStringValues(row[6]), axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1761,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/ashwini/anaconda3/envs/tensorflow-a/lib/python3.6/site-packages/ipykernel_launcher.py:1: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "test[6] = test.apply(lambda row: convertEmptyStringValues(row[6]), axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1762,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/ashwini/anaconda3/envs/tensorflow-a/lib/python3.6/site-packages/ipykernel_launcher.py:1: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "train[6] = train[6].apply(pd.to_numeric)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1763,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/ashwini/anaconda3/envs/tensorflow-a/lib/python3.6/site-packages/ipykernel_launcher.py:1: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "test[6] = test[6].apply(pd.to_numeric)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1764,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/ashwini/anaconda3/envs/tensorflow-a/lib/python3.6/site-packages/ipykernel_launcher.py:1: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "train[10] = train.apply(lambda row: convertClassValues(row[10]), axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1765,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/ashwini/anaconda3/envs/tensorflow-a/lib/python3.6/site-packages/ipykernel_launcher.py:1: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "test[10] = test.apply(lambda row: convertClassValues(row[10]), axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1766,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(559, 10)"
      ]
     },
     "execution_count": 1766,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1767,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(140, 10)"
      ]
     },
     "execution_count": 1767,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1768,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_res = train[10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1769,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_res = test[10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1770,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(559,)"
      ]
     },
     "execution_count": 1770,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_res.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1771,
   "metadata": {},
   "outputs": [],
   "source": [
    "train.drop(train.columns[9],axis=1,inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1772,
   "metadata": {},
   "outputs": [],
   "source": [
    "test.drop(test.columns[9],axis=1,inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1773,
   "metadata": {},
   "outputs": [
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       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>593</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>628</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>113</th>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>3</td>\n",
       "      <td>10</td>\n",
       "      <td>8</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>258</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>185</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>551</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>261</th>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>6</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>8</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>404</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>6</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>8</td>\n",
       "      <td>10</td>\n",
       "      <td>7</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>388</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>289</th>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>8</td>\n",
       "      <td>6</td>\n",
       "      <td>10</td>\n",
       "      <td>4</td>\n",
       "      <td>10</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>460</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>175</th>\n",
       "      <td>5</td>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>7</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>5</td>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>346</th>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>565</th>\n",
       "      <td>5</td>\n",
       "      <td>7</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>1</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>223</th>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>464</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>621</th>\n",
       "      <td>6</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>8</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>405</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>218</th>\n",
       "      <td>6</td>\n",
       "      <td>10</td>\n",
       "      <td>7</td>\n",
       "      <td>7</td>\n",
       "      <td>6</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>111</th>\n",
       "      <td>8</td>\n",
       "      <td>6</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>9</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>7</td>\n",
       "      <td>9</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>670</th>\n",
       "      <td>3</td>\n",
       "      <td>10</td>\n",
       "      <td>7</td>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>211</th>\n",
       "      <td>8</td>\n",
       "      <td>10</td>\n",
       "      <td>8</td>\n",
       "      <td>8</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>234</th>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>458</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>106</th>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>8</td>\n",
       "      <td>2</td>\n",
       "      <td>10</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>273</th>\n",
       "      <td>7</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>425</th>\n",
       "      <td>9</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>244</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>483</th>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>9</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>343</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>685</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>538</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>257</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>694</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>298</th>\n",
       "      <td>8</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>452</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>559 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      1   2   3   4   5   6   7   8  9\n",
       "267   3   3   5   2   3  10   7   1  1\n",
       "692   3   1   1   1   2   1   1   1  1\n",
       "588   9   8   8   9   6   3   4   1  1\n",
       "627   2   1   1   1   2   5   1   1  1\n",
       "372   4   1   2   1   2   1   2   1  1\n",
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       "289   5   6   6   8   6  10   4  10  4\n",
       "460   5   1   1   3   2   1   1   1  1\n",
       "175   5   8   7   7  10  10   5   7  1\n",
       "346   5   2   2   2   3   1   1   3  1\n",
       "565   5   7  10  10   5  10  10  10  1\n",
       "80    2   2   2   1   1   1   7   1  1\n",
       "..   ..  ..  ..  ..  ..  ..  ..  .. ..\n",
       "223   7   5   6   3   3   8   7   4  1\n",
       "464   4   1   1   1   2   1   1   1  1\n",
       "621   6   3   3   3   3   2   6   1  1\n",
       "147   1   1   1   1   3   2   2   1  1\n",
       "57    8   2   4   1   5   1   5   4  4\n",
       "405   1   1   1   1   2   1   2   1  1\n",
       "218   6  10   7   7   6   4   8  10  2\n",
       "198   1   1   1   1   2   1   1   1  1\n",
       "111   8   6   4   3   5   9   3   1  1\n",
       "14    8   7   5  10   7   9   5   5  4\n",
       "670   3  10   7   8   5   8   7   4  1\n",
       "211   8  10   8   8   4   8   7   7  1\n",
       "70    5   1   3   1   2   1   2   1  1\n",
       "234   3   3   2   1   3   1   3   6  1\n",
       "458   5   1   2   1   2   1   1   1  1\n",
       "106  10  10  10   8   2  10   4   1  1\n",
       "273   7   2   4   1   3   4   3   3  1\n",
       "425   9  10  10  10  10  10  10  10  1\n",
       "244   1   1   1   1   2   1   3   1  1\n",
       "483   8   7   8   5   5  10   9  10  1\n",
       "82    5   2   1   1   2   1   3   1  1\n",
       "181   1   1   1   1   2   1   1   1  1\n",
       "343   1   1   1   1   2   1   1   1  1\n",
       "685   1   1   1   1   2   1   1   1  1\n",
       "13    1   1   1   1   2   3   3   1  1\n",
       "538   4   1   1   1   2   1   2   1  1\n",
       "257   3   1   1   1   2   1   2   1  1\n",
       "694   3   1   1   1   3   2   1   1  1\n",
       "298   8   2   1   1   5   1   1   1  1\n",
       "452   3   1   1   3   2   1   1   1  1\n",
       "\n",
       "[559 rows x 9 columns]"
      ]
     },
     "execution_count": 1773,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1774,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <td>10</td>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>9</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>10</td>\n",
       "      <td>8</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>252</th>\n",
       "      <td>6</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>10</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>301</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>220</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>558</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>398</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
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       "      <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",
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       "    <tr>\n",
       "      <th>597</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>112</th>\n",
       "      <td>10</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>10</td>\n",
       "      <td>7</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>370</th>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>6</td>\n",
       "      <td>8</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>430</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>8</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>6</td>\n",
       "      <td>3</td>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>478</th>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>326</th>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>10</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>424</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184</th>\n",
       "      <td>8</td>\n",
       "      <td>7</td>\n",
       "      <td>6</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>10</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>436</th>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>362</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>409</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>695</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>635</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>222</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>159</th>\n",
       "      <td>9</td>\n",
       "      <td>9</td>\n",
       "      <td>10</td>\n",
       "      <td>3</td>\n",
       "      <td>6</td>\n",
       "      <td>10</td>\n",
       "      <td>7</td>\n",
       "      <td>10</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>509</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>314</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>254</th>\n",
       "      <td>9</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>10</td>\n",
       "      <td>8</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>445</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>402</th>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>608</th>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>501</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>240</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>399</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>140 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      1   2   3   4   5   6   7   8  9\n",
       "580   5   1   2   1   2   1   2   1  1\n",
       "75    1   1   2   1   2   2   4   2  1\n",
       "518   3   1   2   2   2   1   1   1  1\n",
       "313   1   1   1   1   2   1   1   1  1\n",
       "652   5   1   1   1   2   1   2   2  1\n",
       "543   4   1   1   1   2   1   2   1  1\n",
       "374   3   1   2   1   2   1   2   1  1\n",
       "540   5   1   1   1   2   2   2   1  1\n",
       "320   7   6   3   2   5  10   7   4  6\n",
       "163   1   1   1   2   1   3   1   1  7\n",
       "408   2   3   2   2   2   2   3   1  1\n",
       "210   8  10  10  10   5  10   8  10  6\n",
       "581   5   7  10   6   5  10   7   5  1\n",
       "468   4   1   1   1   2   1   1   1  1\n",
       "586   8  10  10  10   6  10  10  10  1\n",
       "453   4   5   5   8   6  10  10   7  1\n",
       "357   8  10  10   7  10  10   7   3  8\n",
       "64    1   1   1   1   2   1   2   1  1\n",
       "673   5   3   2   1   3   1   1   1  1\n",
       "536   5   1   1   1   2   1   3   1  1\n",
       "217   1   1   1   1   2   1   3   1  1\n",
       "339   8   5   5   5   2  10   4   3  1\n",
       "417   1   1   1   1   2   1   2   1  1\n",
       "414   8   5   6   2   3  10   6   6  1\n",
       "62    9  10  10   1  10   8   3   3  1\n",
       "252   6   3   3   5   3  10   3   5  3\n",
       "301   1   1   1   1   2   1   3   1  1\n",
       "220   1   1   1   2   2   1   3   1  1\n",
       "558   2   1   1   1   2   1   2   1  1\n",
       "398   3   2   1   1   2   1   2   2  1\n",
       "..   ..  ..  ..  ..  ..  ..  ..  .. ..\n",
       "597   5   1   3   1   2   1   3   1  1\n",
       "112  10   3   3  10   2  10   7   3  3\n",
       "370   4   3   2   1   3   1   2   1  1\n",
       "3     6   8   8   1   3   4   3   7  1\n",
       "430   1   3   1   1   2   1   2   2  1\n",
       "56    8  10  10   1   3   6   3   9  1\n",
       "478   5   2   1   1   2   1   1   1  1\n",
       "326  10   1   1   1   2  10   5   4  1\n",
       "424   3   1   1   1   2   1   1   1  1\n",
       "184   8   7   6   4   4  10   5   1  1\n",
       "436  10  10  10   1   6   1   2   8  1\n",
       "362   3   2   2   1   4   3   2   1  1\n",
       "409   3   1   2   1   2   1   2   1  1\n",
       "695   2   1   1   1   2   1   1   1  1\n",
       "635   3   1   4   1   2   1   1   1  1\n",
       "222   4   1   1   3   1   5   2   1  1\n",
       "159   9   9  10   3   6  10   7  10  6\n",
       "509   2   1   1   1   2   1   1   1  1\n",
       "314   1   1   1   1   1   1   2   1  1\n",
       "254   9  10  10   1  10   8   3   3  1\n",
       "31    2   1   1   1   2   1   3   1  1\n",
       "445   2   1   1   1   2   1   1   1  1\n",
       "26    3   2   1   1   1   1   2   1  1\n",
       "402   5   3   3   1   2   1   2   1  1\n",
       "608   5  10  10  10  10  10  10   1  1\n",
       "501   4   1   1   1   2   1   2   1  1\n",
       "72    1   3   3   2   2   1   7   2  1\n",
       "240   5   1   3   3   2   2   2   3  1\n",
       "399   1   2   3   1   2   1   1   1  1\n",
       "2     3   1   1   1   2   2   3   1  1\n",
       "\n",
       "[140 rows x 9 columns]"
      ]
     },
     "execution_count": 1774,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Converting training and testing values into list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1775,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = train.values.tolist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1776,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = test.values.tolist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1777,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[3, 3, 5, 2, 3, 10, 7, 1, 1]"
      ]
     },
     "execution_count": 1777,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train[0] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1778,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9"
      ]
     },
     "execution_count": 1778,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(train[0]) #columns - attributes "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1779,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "559"
      ]
     },
     "execution_count": 1779,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(train)#rows - entries"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Converting the training and testing list values to binary values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1780,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data_1 = list(list(\"{0:04b}\".format(elem) for elem in row) for row in train) # formatting binary values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1781,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_data_1 = list(list(\"{0:04b}\".format(elem) for elem in row) for row in test) # formatting binary values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1782,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['0011', '0011', '0101', '0010', '0011', '1010', '0111', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1001', '1000', '1000', '1001', '0110', '0011', '0100', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0101', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1001', '0100', '0101', '1010', '0110', '1010', '0100', '1000', '0001'],\n",
       " ['0101', '1000', '1001', '0100', '0011', '1010', '0111', '0001', '0001'],\n",
       " ['0110', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0010', '0010', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0010', '0010', '0010', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0001', '0010', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '0011', '1010', '1000', '1000', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '1010', '1010', '0110', '1010', '1010', '1010', '0110', '0101'],\n",
       " ['0011', '0100', '0101', '0010', '0110', '1000', '0100', '0001', '0001'],\n",
       " ['0001', '0010', '0001', '0011', '0010', '0001', '0001', '0010', '0001'],\n",
       " ['0110', '1010', '1010', '0010', '1000', '1010', '0111', '0011', '0011'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0010', '0010', '0001'],\n",
       " ['0101', '0110', '0110', '1000', '0110', '1010', '0100', '1010', '0100'],\n",
       " ['0101', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '1000', '0111', '0111', '1010', '1010', '0101', '0111', '0001'],\n",
       " ['0101', '0010', '0010', '0010', '0011', '0001', '0001', '0011', '0001'],\n",
       " ['0101', '0111', '1010', '1010', '0101', '1010', '1010', '1010', '0001'],\n",
       " ['0010', '0010', '0010', '0001', '0001', '0001', '0111', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0100', '0110', '1000', '0100', '0001', '1000', '1010', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '1000', '1000', '0010', '1000', '1010', '0100', '1000', '1010'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '1000', '0100', '1010', '0101', '1000', '1001', '1010', '0001'],\n",
       " ['1000', '1010', '0011', '0010', '0110', '0100', '0011', '1010', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '0111', '1001', '1010', '0111', '1010', '1010'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0110', '0010', '0011', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0011', '0100', '0001', '0100', '0001', '0011', '0001', '0001'],\n",
       " ['0100', '0010', '0011', '0101', '0011', '1000', '0111', '0110', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0110', '0011', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0111', '1010', '1010', '0111', '1010', '0100', '1001', '0100'],\n",
       " ['0110', '1010', '1010', '1010', '1010', '1010', '1000', '1010', '1010'],\n",
       " ['0101', '0111', '1001', '1000', '0110', '1010', '1000', '1010', '0001'],\n",
       " ['0110', '1000', '0111', '0101', '0110', '1000', '1000', '1001', '0010'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0010', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '0110', '1000', '0100', '1000', '0101', '0001'],\n",
       " ['1000', '0011', '0011', '0001', '0010', '0010', '0011', '0010', '0001'],\n",
       " ['0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0011', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0010', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0010', '0001', '0010', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0010', '0010', '0010', '0010', '0001', '0100', '0010', '0001'],\n",
       " ['1010', '0100', '0011', '1010', '0100', '1010', '1010', '0001', '0001'],\n",
       " ['0101', '1000', '1000', '1000', '0101', '1010', '0111', '1000', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0010', '0010', '0010', '0010', '0001', '0010', '0010', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0010', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0010', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0110', '0101', '0100', '0100', '0011', '1001', '0111', '1000', '0011'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '1010', '0011', '0001', '0001'],\n",
       " ['1001', '0101', '0101', '0100', '0100', '0101', '0100', '0011', '0011'],\n",
       " ['1001', '0111', '0111', '0101', '0101', '1010', '0111', '1000', '0011'],\n",
       " ['1010', '1010', '1001', '0011', '0111', '0101', '0011', '0101', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1000', '1000', '1001', '0110', '0110', '0011', '1010', '1010', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0110', '0110', '0110', '0101', '1010', '0110', '1000', '0011'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0011', '0001'],\n",
       " ['0011', '0001', '0001', '0011', '1000', '0001', '0101', '1000', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0010', '0010', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0100', '0110', '1010', '0010', '1010', '0100', '0001', '0001'],\n",
       " ['0101', '1010', '1010', '0011', '1000', '0001', '0101', '1010', '0011'],\n",
       " ['1010', '0100', '0100', '0110', '0010', '1010', '0010', '0011', '0001'],\n",
       " ['0110', '0001', '0011', '0010', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1000', '0111', '1000', '0111', '0101', '0101', '0101', '1010', '0010'],\n",
       " ['0001', '0010', '0011', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0110', '0011', '0100', '0001', '0101', '0010', '0011', '1001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0100', '0101', '0001', '1000', '0001', '0011', '0110', '0001'],\n",
       " ['0100', '0010', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0100', '0100', '1010', '0101', '0001', '0011', '0011', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0010', '0011', '0001', '0110', '1010', '0101', '0001', '0001'],\n",
       " ['0101', '0001', '0011', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0110', '0011', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '1000', '0110', '0001', '1000', '1001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0011', '0010', '0001', '0001'],\n",
       " ['1010', '0011', '0100', '0101', '0011', '1010', '0100', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0010', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0110', '1010', '1010', '1010', '0100', '1010', '0111', '1010', '0001'],\n",
       " ['0011', '0111', '0111', '0100', '0100', '1001', '0100', '1000', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0010', '0011', '0010', '0001'],\n",
       " ['0001', '0001', '0011', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0011', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0010', '0011', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0011', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0010', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1000', '1010', '1010', '1010', '1000', '1010', '1010', '0111', '0011'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0010', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0111', '0010', '0100', '0001', '0110', '1010', '0101', '0100', '0011'],\n",
       " ['0010', '0001', '0001', '0010', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0011', '0010', '0010', '0010', '0001'],\n",
       " ['1000', '0011', '1000', '0011', '0100', '1001', '1000', '1001', '1000'],\n",
       " ['0100', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0011', '0010', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0011', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '0111', '0111', '0011', '1000', '0101', '0111', '0100', '0011'],\n",
       " ['0101', '1010', '1000', '1010', '1000', '1010', '0011', '0110', '0011'],\n",
       " ['0101', '1010', '1010', '0011', '0111', '0011', '1000', '1010', '0010'],\n",
       " ['1010', '1010', '0111', '1000', '0111', '0001', '1010', '1010', '0011'],\n",
       " ['1001', '0101', '1000', '0001', '0010', '0011', '0010', '0001', '0101'],\n",
       " ['0101', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '0011', '1010', '1010', '1001', '1010', '0001'],\n",
       " ['0100', '0101', '0101', '1010', '0100', '1010', '0111', '0101', '1000'],\n",
       " ['0101', '0001', '0011', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '0101', '0111', '0100', '0100', '1010', '1000', '1001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0010', '0010', '0010', '0010', '0001', '0011', '0010', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0011', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0011', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0011', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0010'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0101'],\n",
       " ['1000', '0110', '0100', '1010', '1010', '0001', '0011', '0101', '0001'],\n",
       " ['0011', '0001', '0011', '0001', '0010', '0000', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1000', '1010', '1010', '1000', '0101', '1010', '0111', '1000', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0001', '0011', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '0100', '1000', '0001', '1000', '1010', '0001'],\n",
       " ['0110', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0010', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1001', '0110', '1001', '0010', '1010', '0110', '0010', '1001', '1010'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0011', '0011', '0100', '0010', '0100', '0011', '0100', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0110', '0001'],\n",
       " ['0110', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1001', '1000', '1000', '0101', '0110', '0010', '0100', '1010', '0100'],\n",
       " ['0010', '0101', '0111', '0110', '0100', '1010', '0111', '0110', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0100', '0110', '0110', '0100', '1010', '0100', '0011', '0001'],\n",
       " ['1000', '0100', '0101', '0001', '0010', '0000', '0111', '0011', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0110', '0001', '0011', '0001', '0100', '0101', '0101', '1010', '0001'],\n",
       " ['0101', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0111', '0101', '0011', '0111', '0100', '1010', '0111', '0101', '0101'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0010', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0011', '0110', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0000', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0011', '0001', '0010', '0000', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1000', '0100', '0100', '0101', '0100', '0111', '0111', '1000', '0010'],\n",
       " ['0100', '0110', '0101', '0110', '0111', '0000', '0100', '1001', '0001'],\n",
       " ['0011', '0001', '0100', '0001', '0010', '0000', '0011', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0011', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0100', '0001', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0111', '0100', '0100', '0011', '0100', '1010', '0110', '1001', '0001'],\n",
       " ['0111', '0100', '0110', '0100', '0110', '0001', '0100', '0011', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1000', '0011', '0100', '1001', '0011', '1010', '0011', '0011', '0001'],\n",
       " ['0110', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0010', '0010', '0010', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0000', '0011', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1000', '0111', '1000', '0101', '1010', '1010', '0111', '0010', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0110', '0110', '0010', '0100', '1010', '0011', '0110', '0001'],\n",
       " ['1000', '0110', '0111', '0011', '0011', '1010', '0011', '0100', '0010'],\n",
       " ['1000', '1000', '1001', '0100', '0101', '1010', '0111', '1000', '0001'],\n",
       " ['0010', '0011', '0001', '0001', '0011', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '0110', '0100', '0011', '1010', '1010', '1001', '1010', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '0011', '0011', '0001', '0010', '1010', '0111', '0110', '0001'],\n",
       " ['1010', '0100', '0100', '1010', '0110', '1010', '0101', '0101', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0010', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0100', '0100', '0101', '0111', '1010', '0011', '0010', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0101', '1000', '0110', '0101', '1000', '0111', '1010', '0001'],\n",
       " ['0101', '0100', '0011', '0001', '0010', '0000', '0010', '0011', '0001'],\n",
       " ['0001', '0001', '0011', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0100', '0100', '0010', '0010', '0011', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0010', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0100', '0110', '0110', '0101', '0111', '0110', '0111', '0111', '0011'],\n",
       " ['0011', '0010', '0010', '0001', '0010', '0001', '0010', '0011', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '0101', '0101', '0011', '0110', '0111', '0111', '1010', '0001'],\n",
       " ['1010', '0011', '0110', '0010', '0011', '0101', '0100', '1010', '0010'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1000', '0100', '0111', '0001', '0011', '1010', '0011', '1001', '0010'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '1010', '1010', '1010', '0100', '1010', '1010'],\n",
       " ['0001', '0001', '0001', '0001', '0101', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0110', '1010', '1010', '0010', '1000', '1010', '0111', '0011', '0011'],\n",
       " ['0110', '1010', '1010', '1010', '1000', '1010', '1010', '1010', '0111'],\n",
       " ['0010', '0011', '0100', '0100', '0010', '0101', '0010', '0101', '0001'],\n",
       " ['0100', '0010', '0001', '0001', '0010', '0010', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['1001', '0001', '0010', '0110', '0100', '1010', '0111', '0111', '0010'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0010', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0010', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '1010', '1000', '0101', '0100', '0001', '1010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0011', '0010', '0110', '0011', '0011', '0011', '0101', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0011', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0000', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0010', '0001', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0100', '0011', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0101', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0000', '0011', '0001', '0001'],\n",
       " ['1000', '0110', '0101', '0100', '0011', '1010', '0110', '0001', '0001'],\n",
       " ['0011', '0011', '0110', '0100', '0101', '1000', '0100', '0100', '0001'],\n",
       " ['1010', '0101', '0111', '0011', '0011', '0111', '0011', '0011', '1000'],\n",
       " ['1010', '1000', '1010', '1010', '0110', '0001', '0011', '0001', '1010'],\n",
       " ['1000', '0100', '0110', '0011', '0011', '0001', '0100', '0011', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0011', '0001', '0001', '0001', '0001'],\n",
       " ['0111', '0001', '0010', '0011', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0010', '0100', '0011', '0010', '0010', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0110', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '0101', '0110', '1010', '0110', '1010', '0111', '0111', '1010'],\n",
       " ['0101', '0011', '0101', '0001', '1000', '1010', '0101', '0011', '0001'],\n",
       " ['0111', '1001', '0100', '1010', '1010', '0011', '0101', '0011', '0011'],\n",
       " ['0110', '1010', '0010', '1000', '1010', '0010', '0111', '1000', '1010'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0011', '0010', '0001', '0010', '0011', '0011', '0001', '0001'],\n",
       " ['0110', '0011', '0010', '0001', '0011', '0100', '0100', '0001', '0001'],\n",
       " ['1010', '1010', '0110', '0011', '0011', '1010', '0100', '0011', '0010'],\n",
       " ['1000', '1001', '1001', '0101', '0011', '0101', '0111', '0111', '0001'],\n",
       " ['0100', '0010', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0111', '1000', '0111', '0010', '0100', '1000', '0011', '1000', '0010'],\n",
       " ['0001', '0001', '0010', '0001', '0011', '0000', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '1010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1001', '0101', '0101', '0010', '0010', '0010', '0101', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '1010', '1000', '0111', '0110', '1001', '1001', '0011', '1000'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0111', '0101', '0110', '1010', '0100', '1010', '0101', '0011', '0001'],\n",
       " ['0101', '0001', '0010', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0011', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0011', '0001', '0010', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '0101', '0101', '0110', '0011', '1010', '0111', '1001', '0010'],\n",
       " ['0101', '0001', '0010', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '0111', '0111', '0110', '0100', '1010', '0100', '0001', '0010'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0100', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '0100', '0010', '0001', '0011', '0010', '0100', '0011', '1010'],\n",
       " ['1001', '1010', '1010', '1010', '1010', '0101', '1010', '1010', '1010'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0011', '0100', '0001', '0011', '0010', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0010', '0011', '0011', '0001'],\n",
       " ['1010', '0101', '1000', '1010', '0011', '1010', '0101', '0001', '0011'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0011', '0001'],\n",
       " ['0111', '0100', '0111', '0100', '0011', '0111', '0111', '0110', '0001'],\n",
       " ['0101', '0011', '0010', '0100', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0010', '0010', '0011', '0010', '0011', '0011', '0001', '0001'],\n",
       " ['1010', '0101', '0101', '0110', '1000', '1000', '0111', '0001', '0001'],\n",
       " ['0100', '1000', '1000', '0101', '0100', '0101', '1010', '0100', '0001'],\n",
       " ['1010', '0100', '0101', '0101', '0101', '1010', '0100', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0111', '0011', '0100', '0100', '0011', '0011', '0011', '0010', '0111'],\n",
       " ['1010', '1000', '1000', '0100', '1010', '1010', '1000', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0011', '0011', '0001', '0010', '0001', '0011', '0011', '0001'],\n",
       " ['0001', '0001', '0010', '0010', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1000', '1010', '1010', '1010', '0111', '0101', '0100', '1000', '0111'],\n",
       " ['0101', '1010', '1010', '0101', '0100', '0101', '0100', '0100', '0001'],\n",
       " ['1010', '0011', '0101', '0001', '1010', '0101', '0011', '1010', '0010'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0010', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '0010', '1010', '1010', '0101', '0011', '0011'],\n",
       " ['0011', '0100', '0101', '0011', '0111', '0011', '0100', '0110', '0001'],\n",
       " ['0101', '0001', '0001', '0100', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0111', '0110', '0100', '1000', '1010', '1010', '1001', '0101', '0011'],\n",
       " ['0111', '0110', '0110', '0011', '0010', '1010', '0111', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '1000', '0111', '0100', '0011', '1010', '0111', '1001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1000', '0100', '0100', '0001', '0110', '1010', '0010', '0101', '0010'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0011', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0110', '0001', '0011', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0100', '1000', '0110', '0100', '0011', '0100', '1010', '0110', '0001'],\n",
       " ['0101', '0101', '0101', '0010', '0101', '1010', '0100', '0011', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0010', '0001'],\n",
       " ['1000', '0011', '0101', '0100', '0101', '1010', '0001', '0110', '0010'],\n",
       " ['1010', '0011', '0101', '0100', '0011', '0111', '0011', '0101', '0011'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0011', '0001', '0001', '0001'],\n",
       " ['0101', '0110', '0111', '1000', '1000', '1010', '0011', '1010', '0011'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0010', '0011', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0110', '0101', '0101', '1000', '0100', '1010', '0011', '0100', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '0100', '0110', '0100', '0101', '1010', '0111', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '1010', '0110', '1010', '1000', '0001', '0101'],\n",
       " ['0101', '0001', '0100', '0001', '0010', '0001', '0011', '0010', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0110', '1010', '1010', '1010', '1000', '1010', '0111', '1010', '0111'],\n",
       " ['1000', '1010', '1010', '1010', '0110', '1010', '1010', '1010', '1010'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0000', '0001', '0001', '0001'],\n",
       " ['0101', '0010', '0100', '0001', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0111', '1000', '0111', '0110', '0100', '0011', '1000', '1000', '0100'],\n",
       " ['0001', '0001', '0011', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '1000', '0110', '0011', '0100', '1010', '0111', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0011', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0110', '0101', '0110', '1010', '0001', '0011', '0001', '0001'],\n",
       " ['1000', '0100', '0100', '0001', '0010', '1001', '0011', '0011', '0001'],\n",
       " ['0101', '1010', '1010', '1010', '1010', '0010', '1010', '1010', '1010'],\n",
       " ['1010', '1000', '1000', '0010', '0011', '0100', '1000', '0111', '1000'],\n",
       " ['0101', '1010', '1010', '1010', '0101', '0010', '1000', '0101', '0001'],\n",
       " ['0100', '0001', '0001', '0010', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0011', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0011', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0011', '0001', '0011', '0100', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0011', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '1000', '1010', '0001', '0011', '1010', '0101', '0001', '0001'],\n",
       " ['0011', '0011', '0101', '0010', '0011', '1010', '0111', '0001', '0001'],\n",
       " ['1000', '1010', '1010', '1000', '0110', '1001', '0011', '1010', '1010'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0000', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0101', '0111', '1000', '1000', '1001', '0111', '1010', '0111'],\n",
       " ['0100', '0001', '0001', '0001', '0011', '0001', '0010', '0010', '0001'],\n",
       " ['1010', '1001', '1000', '0111', '0110', '0100', '0111', '1010', '0011'],\n",
       " ['0101', '0001', '0010', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '1010', '0101', '1010', '1010', '1010', '0111'],\n",
       " ['0100', '0111', '1000', '0011', '0100', '1010', '1001', '0001', '0001'],\n",
       " ['0110', '0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '1010', '1010', '1001', '0110', '1010', '0111', '1010', '0101'],\n",
       " ['0101', '0101', '0101', '1000', '1010', '1000', '0111', '0011', '0111'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0011', '0100', '0011', '0100', '0101', '0100', '0111', '0001'],\n",
       " ['0101', '1010', '1010', '1010', '0100', '1010', '0101', '0110', '0011'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0101', '0011', '0011', '0110', '0111', '0111', '0101', '0001'],\n",
       " ['0011', '1010', '0011', '1010', '0110', '1010', '0101', '0001', '0100'],\n",
       " ['1000', '1000', '0111', '0100', '1010', '1010', '0111', '1000', '0111'],\n",
       " ['0011', '0010', '0001', '0001', '0010', '0010', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0100', '0100', '0100', '0110', '0101', '0111', '0011', '0001'],\n",
       " ['0011', '0001', '0001', '0100', '0011', '0001', '0010', '0010', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0010', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0010', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0010', '0011', '0100', '0010', '0111', '0011', '0110', '0001'],\n",
       " ['0101', '1010', '1010', '1000', '0101', '0101', '0111', '1010', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0001', '0011', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0110', '1000', '1010', '1000', '1010', '0101', '0111', '0001'],\n",
       " ['0001', '0001', '0011', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '0111', '1010', '1010', '1000', '0010', '0001'],\n",
       " ['1010', '0100', '0100', '1010', '0010', '1010', '0101', '0011', '0011'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0101', '0111', '1000', '0110', '1010', '0111', '0100', '0001'],\n",
       " ['0001', '0011', '0001', '0010', '0010', '0010', '0101', '0011', '0010'],\n",
       " ['0101', '0011', '0011', '0001', '0011', '0011', '0011', '0011', '0011'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0011', '0011', '0011', '0010', '0011', '0100', '0100', '0001'],\n",
       " ['0101', '0100', '0100', '1001', '0010', '1010', '0101', '0110', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0101', '0101', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '0110', '0100', '0001', '0011', '0100', '0011', '0010', '0011'],\n",
       " ['0001', '0001', '0001', '0011', '0001', '0011', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1000', '0111', '0100', '0100', '0101', '0011', '0101', '1010', '0001'],\n",
       " ['0101', '0001', '0010', '1010', '0100', '0101', '0010', '0001', '0001'],\n",
       " ['0110', '1000', '0111', '1000', '0110', '1000', '1000', '1001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0011', '0010', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '0100', '0111', '0010', '0010', '1000', '0110', '0001', '0001'],\n",
       " ['0011', '0011', '0010', '0010', '0011', '0001', '0001', '0010', '0011'],\n",
       " ['0110', '0010', '0001', '0001', '0001', '0001', '0111', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0010', '0010', '0100', '0010', '0100', '0001', '0001', '0001'],\n",
       " ['0001', '0010', '0011', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '0100', '0101', '0100', '0011', '0101', '0111', '0011', '0001'],\n",
       " ['0101', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0010'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0100', '0001', '0001', '0001'],\n",
       " ['0101', '0011', '0011', '0011', '0110', '1010', '0011', '0001', '0001'],\n",
       " ['0101', '0101', '0101', '0110', '0011', '1010', '0011', '0001', '0001'],\n",
       " ['0101', '0111', '0111', '0001', '0101', '1000', '0011', '0100', '0001'],\n",
       " ['0001', '0001', '0001', '0011', '0010', '0011', '0001', '0001', '0001'],\n",
       " ['0101', '1000', '1000', '1010', '0101', '1010', '1000', '1010', '0011'],\n",
       " ['0111', '1000', '0011', '0111', '0100', '0101', '0111', '1000', '0010'],\n",
       " ['0111', '0101', '0110', '1010', '0101', '1010', '0111', '1001', '0100'],\n",
       " ['0101', '1010', '1010', '1010', '0110', '1010', '0110', '0101', '0010'],\n",
       " ['0101', '0010', '0010', '0010', '0010', '0010', '0011', '0010', '0010'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1000', '0100', '1010', '0101', '0100', '0100', '0111', '1010', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0001', '0010', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0111', '0100', '0001', '0110', '0001', '0111', '1010', '0011'],\n",
       " ['0011', '0001', '0001', '0010', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0010', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '0110', '0101', '1000', '0101', '1010', '1000', '0110', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0010', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0100', '0110', '0111', '1001', '0111', '1000', '1010', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0001', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0010', '0010', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0010', '0011', '0100', '0001', '0001', '0001'],\n",
       " ['1010', '0101', '1010', '0011', '0101', '1000', '0111', '1000', '0011'],\n",
       " ['0010', '0001', '0011', '0010', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '0110', '0110', '0011', '0100', '0101', '0011', '0110', '0001'],\n",
       " ['1010', '1010', '1010', '1010', '0111', '1010', '0111', '1010', '0100'],\n",
       " ['1010', '1010', '1010', '1000', '0110', '1000', '0111', '1010', '0001'],\n",
       " ['0100', '1010', '0100', '0111', '0011', '1010', '1001', '1010', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1000', '1010', '0100', '0100', '1000', '1010', '1000', '0010', '0001'],\n",
       " ['1010', '1010', '1010', '1010', '1010', '0001', '1000', '1000', '1000'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0010', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0101', '0101', '0001', '0001'],\n",
       " ['0111', '0011', '0010', '1010', '0101', '1010', '0101', '0100', '0100'],\n",
       " ['0110', '1010', '0101', '0101', '0100', '1010', '0110', '1010', '0001'],\n",
       " ['0101', '0001', '0001', '0010', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '1010', '0110', '0001', '1010', '0100', '0100', '1010', '1010'],\n",
       " ['1010', '0111', '0111', '0100', '0101', '1010', '0101', '0111', '0010'],\n",
       " ['0101', '0011', '0101', '0101', '0011', '0011', '0100', '1010', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0010', '0001'],\n",
       " ['0100', '0001', '0100', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0100', '1000', '0111', '1010', '0100', '1010', '0111', '0101', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['0111', '0101', '0110', '0011', '0011', '1000', '0111', '0100', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0110', '0011', '0011', '0011', '0011', '0010', '0110', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0011', '0010', '0010', '0001', '0001'],\n",
       " ['1000', '0010', '0100', '0001', '0101', '0001', '0101', '0100', '0100'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0110', '1010', '0111', '0111', '0110', '0100', '1000', '1010', '0010'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1000', '0110', '0100', '0011', '0101', '1001', '0011', '0001', '0001'],\n",
       " ['1000', '0111', '0101', '1010', '0111', '1001', '0101', '0101', '0100'],\n",
       " ['0011', '1010', '0111', '1000', '0101', '1000', '0111', '0100', '0001'],\n",
       " ['1000', '1010', '1000', '1000', '0100', '1000', '0111', '0111', '0001'],\n",
       " ['0101', '0001', '0011', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0011', '0010', '0001', '0011', '0001', '0011', '0110', '0001'],\n",
       " ['0101', '0001', '0010', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '1000', '0010', '1010', '0100', '0001', '0001'],\n",
       " ['0111', '0010', '0100', '0001', '0011', '0100', '0011', '0011', '0001'],\n",
       " ['1001', '1010', '1010', '1010', '1010', '1010', '1010', '1010', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1000', '0111', '1000', '0101', '0101', '1010', '1001', '1010', '0001'],\n",
       " ['0101', '0010', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0011', '0011', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0011', '0010', '0001', '0001', '0001'],\n",
       " ['1000', '0010', '0001', '0001', '0101', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001']]"
      ]
     },
     "execution_count": 1782,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_data_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1783,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['0101', '0001', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0010', '0001', '0010', '0010', '0100', '0010', '0001'],\n",
       " ['0011', '0001', '0010', '0010', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0010', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0010', '0010', '0001', '0001'],\n",
       " ['0111', '0110', '0011', '0010', '0101', '1010', '0111', '0100', '0110'],\n",
       " ['0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001', '0111'],\n",
       " ['0010', '0011', '0010', '0010', '0010', '0010', '0011', '0001', '0001'],\n",
       " ['1000', '1010', '1010', '1010', '0101', '1010', '1000', '1010', '0110'],\n",
       " ['0101', '0111', '1010', '0110', '0101', '1010', '0111', '0101', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1000', '1010', '1010', '1010', '0110', '1010', '1010', '1010', '0001'],\n",
       " ['0100', '0101', '0101', '1000', '0110', '1010', '1010', '0111', '0001'],\n",
       " ['1000', '1010', '1010', '0111', '1010', '1010', '0111', '0011', '1000'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0011', '0010', '0001', '0011', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1000', '0101', '0101', '0101', '0010', '1010', '0100', '0011', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1000', '0101', '0110', '0010', '0011', '1010', '0110', '0110', '0001'],\n",
       " ['1001', '1010', '1010', '0001', '1010', '1000', '0011', '0011', '0001'],\n",
       " ['0110', '0011', '0011', '0101', '0011', '1010', '0011', '0101', '0011'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0010', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0010', '0001', '0001', '0010', '0001', '0010', '0010', '0001'],\n",
       " ['1000', '1010', '0101', '0011', '1000', '0100', '0100', '1010', '0011'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0000', '0011', '0001', '0001'],\n",
       " ['1010', '1001', '0111', '0011', '0100', '0010', '0111', '0111', '0001'],\n",
       " ['1010', '0110', '0011', '0110', '0100', '1010', '0111', '1000', '0100'],\n",
       " ['0111', '0110', '1010', '0101', '0011', '1010', '1001', '1010', '0010'],\n",
       " ['0001', '0001', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1010', '0010', '0010', '0001', '0010', '0110', '0001', '0001', '0010'],\n",
       " ['0111', '0100', '0101', '1010', '0010', '1010', '0011', '1000', '0010'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0011', '0001', '0010', '0001', '0001'],\n",
       " ['0110', '0110', '0110', '1001', '0110', '0000', '0111', '1000', '0001'],\n",
       " ['0001', '0100', '0011', '1010', '0100', '1010', '0101', '0110', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '1000'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0110', '1001', '0111', '0101', '0101', '1000', '0100', '0010', '0001'],\n",
       " ['1010', '0100', '0011', '1010', '0011', '1010', '0111', '0001', '0010'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0100', '0100', '0010', '0001', '0010', '0101', '0010', '0001', '0010'],\n",
       " ['0001', '0010', '0001', '0011', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1000', '1000', '1000', '0001', '0010', '0000', '0110', '1010', '0001'],\n",
       " ['1010', '0100', '0011', '0010', '0011', '1010', '0101', '0011', '0010'],\n",
       " ['0111', '0101', '1010', '1010', '1010', '1010', '0100', '1010', '0011'],\n",
       " ['0110', '0110', '0111', '1010', '0011', '1010', '1000', '1010', '0010'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0011', '0100', '0001', '1000', '1010', '0100', '1001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0010', '0111', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0010', '0011', '0001', '0001', '0101', '0001', '0001', '0001', '0001'],\n",
       " ['0101', '0010', '0010', '0010', '0010', '0001', '0001', '0001', '0010'],\n",
       " ['0001', '0001', '0001', '0001', '0011', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '0110', '0110', '0010', '0100', '1010', '1001', '0111', '0001'],\n",
       " ['1010', '1010', '1000', '0110', '0100', '0101', '1000', '1010', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0101', '0001', '0001', '0001'],\n",
       " ['1010', '1010', '1000', '1010', '0110', '0101', '1010', '0011', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0100', '0001', '0001', '0001'],\n",
       " ['0110', '0110', '0110', '0101', '0100', '1010', '0111', '0110', '0010'],\n",
       " ['0101', '0011', '0011', '0010', '0011', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '1000', '0100', '0100', '0100', '1010', '0011', '1010', '0100'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['1000', '0111', '1000', '0010', '0100', '0010', '0101', '1010', '0001'],\n",
       " ['1000', '0010', '0011', '0001', '0110', '0011', '0111', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0010', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '0100', '0110', '0001', '0010', '1010', '0101', '0011', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0011', '0001', '0001', '0010', '0001', '0100', '1000', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1000', '1010', '1010', '1000', '0111', '1010', '1001', '0111', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0011', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '1010', '0011', '1010', '1010', '0110', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0010', '0101', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0011', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '0100', '0011', '0001', '0011', '0011', '0110', '0101', '0010'],\n",
       " ['0101', '0011', '0010', '1000', '0101', '1010', '1000', '0001', '0010'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0110', '0100', '1010', '0011', '0011', '0011', '0100', '0001'],\n",
       " ['0110', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0010'],\n",
       " ['0101', '0001', '0001', '0001', '0010', '0001', '0010', '0010', '0001'],\n",
       " ['0111', '1000', '1000', '0111', '0011', '1010', '0111', '0010', '0011'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0101', '0001', '0011', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['1010', '0011', '0011', '1010', '0010', '1010', '0111', '0011', '0011'],\n",
       " ['0100', '0011', '0010', '0001', '0011', '0001', '0010', '0001', '0001'],\n",
       " ['0110', '1000', '1000', '0001', '0011', '0100', '0011', '0111', '0001'],\n",
       " ['0001', '0011', '0001', '0001', '0010', '0001', '0010', '0010', '0001'],\n",
       " ['1000', '1010', '1010', '0001', '0011', '0110', '0011', '1001', '0001'],\n",
       " ['0101', '0010', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1010', '0001', '0001', '0001', '0010', '1010', '0101', '0100', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['1000', '0111', '0110', '0100', '0100', '1010', '0101', '0001', '0001'],\n",
       " ['1010', '1010', '1010', '0001', '0110', '0001', '0010', '1000', '0001'],\n",
       " ['0011', '0010', '0010', '0001', '0100', '0011', '0010', '0001', '0001'],\n",
       " ['0011', '0001', '0010', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0100', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0011', '0001', '0101', '0010', '0001', '0001'],\n",
       " ['1001', '1001', '1010', '0011', '0110', '1010', '0111', '1010', '0110'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0001', '0001', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['1001', '1010', '1010', '0001', '1010', '1000', '0011', '0011', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0011', '0001', '0001'],\n",
       " ['0010', '0001', '0001', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0010', '0001', '0001', '0001', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '0011', '0011', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0101', '1010', '1010', '1010', '1010', '1010', '1010', '0001', '0001'],\n",
       " ['0100', '0001', '0001', '0001', '0010', '0001', '0010', '0001', '0001'],\n",
       " ['0001', '0011', '0011', '0010', '0010', '0001', '0111', '0010', '0001'],\n",
       " ['0101', '0001', '0011', '0011', '0010', '0010', '0010', '0011', '0001'],\n",
       " ['0001', '0010', '0011', '0001', '0010', '0001', '0001', '0001', '0001'],\n",
       " ['0011', '0001', '0001', '0001', '0010', '0010', '0011', '0001', '0001']]"
      ]
     },
     "execution_count": 1783,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_data_1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Concatenate all the values in the list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1784,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data_2 = list(''.join(row) for row in train_data_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1785,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_data_2 = list(''.join(row) for row in test_data_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1786,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['001100110101001000111010011100010001',\n",
       " '001100010001000100100001000100010001',\n",
       " '100110001000100101100011010000010001',\n",
       " '001000010001000100100101000100010001',\n",
       " '010000010010000100100001001000010001',\n",
       " '100101000101101001101010010010000001',\n",
       " '010110001001010000111010011100010001',\n",
       " '011000010001000100100001001000010001',\n",
       " '000100100010000100100001000100010001',\n",
       " '010000010001000100100001001100010001',\n",
       " '000100010001000100100001001100010001',\n",
       " '010100100010001000010001001000010001',\n",
       " '010100010010000100100001000100010001',\n",
       " '001000010001000100100001000100010001',\n",
       " '101010101010001110101000100000010001',\n",
       " '001100010001000100100001001100010001',\n",
       " '001000010001000100010001001100010001',\n",
       " '001100010001000100010001001000010001',\n",
       " '000100010001000100100001001100010001',\n",
       " '010110101010011010101010101001100101',\n",
       " '001101000101001001101000010000010001',\n",
       " '000100100001001100100001000100100001',\n",
       " '011010101010001010001010011100110011',\n",
       " '001000010001000100100001001000100001',\n",
       " '010101100110100001101010010010100100',\n",
       " '010100010001001100100001000100010001',\n",
       " '010110000111011110101010010101110001',\n",
       " '010100100010001000110001000100110001',\n",
       " '010101111010101001011010101010100001',\n",
       " '001000100010000100010001011100010001',\n",
       " '001100010001000100100001001000010001',\n",
       " '001100010001000100100001001000010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '010101000110100001000001100010100001',\n",
       " '010000010001000100100001001100010001',\n",
       " '101010001000001010001010010010001010',\n",
       " '001100010001000100100001000100010001',\n",
       " '010110000100101001011000100110100001',\n",
       " '100010100011001001100100001110100001',\n",
       " '000100010001000100010001001000010001',\n",
       " '101010101010011110011010011110101010',\n",
       " '000100010001000100010001001000010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '010100010001000100100001001100010001',\n",
       " '011000100011000100100001000100010001',\n",
       " '010100110100000101000001001100010001',\n",
       " '010000100011010100111000011101100001',\n",
       " '010000010001000100100001000100010001',\n",
       " '010100010001011000110001000100010001',\n",
       " '000100010001000100100001001100010001',\n",
       " '010000010001000100100001001000010001',\n",
       " '001001111010101001111010010010010100',\n",
       " '011010101010101010101010100010101010',\n",
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       " '101001100101100001011010100001100001',\n",
       " '010100010001000100010001000100010001',\n",
       " '010100010010000100100001000100010001',\n",
       " '000100010010000100100001001000010001',\n",
       " '010101000110011110010111100010100001',\n",
       " '001000010001000100010001000100010001',\n",
       " '001100100010001100100001000100010001',\n",
       " '001100010001001000110100000100010001',\n",
       " '101001011010001101011000011110000011',\n",
       " '001000010011001000100001001000010001',\n",
       " '101001100110001101000101001101100001',\n",
       " '101010101010101001111010011110100100',\n",
       " '101010101010100001101000011110100001',\n",
       " '010010100100011100111010100110100001',\n",
       " '000100010001000100100001001100010001',\n",
       " '100010100100010010001010100000100001',\n",
       " '101010101010101010100001100010001000',\n",
       " '001100010001000100100001001000010001',\n",
       " '001100010001000100100001001000100001',\n",
       " '000100010001000100100101010100010001',\n",
       " '011100110010101001011010010101000100',\n",
       " '011010100101010101001010011010100001',\n",
       " '010100010001001000100001001000010001',\n",
       " '010110100110000110100100010010101010',\n",
       " '101001110111010001011010010101110010',\n",
       " '010100110101010100110011010010100001',\n",
       " '010000010001000100100001000100010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '001100010001000100100001000100010001',\n",
       " '010000010001000100100001001100100001',\n",
       " '010000010100000100100001000100010001',\n",
       " '001100010001000100100001001100010001',\n",
       " '010010000111101001001010011101010001',\n",
       " '001000010001000100100001001100010001',\n",
       " '010100010001000100010001001100010001',\n",
       " '011101010110001100111000011101000001',\n",
       " '010000010001000100100001000100010001',\n",
       " '011000110011001100110010011000010001',\n",
       " '000100010001000100110010001000010001',\n",
       " '100000100100000101010001010101000100',\n",
       " '000100010001000100100001001000010001',\n",
       " '011010100111011101100100100010100010',\n",
       " '000100010001000100100001000100010001',\n",
       " '100001100100001101011001001100010001',\n",
       " '100001110101101001111001010101010100',\n",
       " '001110100111100001011000011101000001',\n",
       " '100010101000100001001000011101110001',\n",
       " '010100010011000100100001001000010001',\n",
       " '001100110010000100110001001101100001',\n",
       " '010100010010000100100001000100010001',\n",
       " '101010101010100000101010010000010001',\n",
       " '011100100100000100110100001100110001',\n",
       " '100110101010101010101010101010100001',\n",
       " '000100010001000100100001001100010001',\n",
       " '100001111000010101011010100110100001',\n",
       " '010100100001000100100001001100010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '000100010001000100100011001100010001',\n",
       " '010000010001000100100001001000010001',\n",
       " '001100010001000100100001001000010001',\n",
       " '001100010001000100110010000100010001',\n",
       " '100000100001000101010001000100010001',\n",
       " '001100010001001100100001000100010001']"
      ]
     },
     "execution_count": 1786,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_data_2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1787,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['010100010010000100100001001000010001',\n",
       " '000100010010000100100010010000100001',\n",
       " '001100010010001000100001000100010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '010100010001000100100001001000100001',\n",
       " '010000010001000100100001001000010001',\n",
       " '001100010010000100100001001000010001',\n",
       " '010100010001000100100010001000010001',\n",
       " '011101100011001001011010011101000110',\n",
       " '000100010001001000010011000100010111',\n",
       " '001000110010001000100010001100010001',\n",
       " '100010101010101001011010100010100110',\n",
       " '010101111010011001011010011101010001',\n",
       " '010000010001000100100001000100010001',\n",
       " '100010101010101001101010101010100001',\n",
       " '010001010101100001101010101001110001',\n",
       " '100010101010011110101010011100111000',\n",
       " '000100010001000100100001001000010001',\n",
       " '010100110010000100110001000100010001',\n",
       " '010100010001000100100001001100010001',\n",
       " '000100010001000100100001001100010001',\n",
       " '100001010101010100101010010000110001',\n",
       " '000100010001000100100001001000010001',\n",
       " '100001010110001000111010011001100001',\n",
       " '100110101010000110101000001100110001',\n",
       " '011000110011010100111010001101010011',\n",
       " '000100010001000100100001001100010001',\n",
       " '000100010001001000100001001100010001',\n",
       " '001000010001000100100001001000010001',\n",
       " '001100100001000100100001001000100001',\n",
       " '100010100101001110000100010010100011',\n",
       " '001100010001000100100000001100010001',\n",
       " '101010010111001101000010011101110001',\n",
       " '101001100011011001001010011110000100',\n",
       " '011101101010010100111010100110100010',\n",
       " '000100010010000100100001001000010001',\n",
       " '001000010001000100100001001000010001',\n",
       " '010000010001000100100001001000010001',\n",
       " '101000100010000100100110000100010010',\n",
       " '011101000101101000101010001110000010',\n",
       " '010100010001000100100001000100010001',\n",
       " '010100010001000100100001000100010001',\n",
       " '001000010001000100110001001000010001',\n",
       " '011001100110100101100000011110000001',\n",
       " '000101000011101001001010010101100001',\n",
       " '000100010001000100100001000100011000',\n",
       " '010100010001000100100001001100010001',\n",
       " '011010010111010101011000010000100001',\n",
       " '101001000011101000111010011100010010',\n",
       " '000100010001000100100001001000010001',\n",
       " '001000010001000100010001001000010001',\n",
       " '010100010001000100100001001000010001',\n",
       " '010001000010000100100101001000010010',\n",
       " '000100100001001100100001001000010001',\n",
       " '001100010001000100100001001000010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '000100010001000100100001001000010001',\n",
       " '100010001000000100100000011010100001',\n",
       " '101001000011001000111010010100110010',\n",
       " '011101011010101010101010010010100011',\n",
       " '011001100111101000111010100010100010',\n",
       " '010000010001000100100001000100010001',\n",
       " '000100010001000100010001001100010001',\n",
       " '010100110100000110001010010010010001',\n",
       " '001100010001000100100010011100010001',\n",
       " '000100010001000100100001001100010001',\n",
       " '001100010001000100010001001000010001',\n",
       " '001100010001000100100001001100010001',\n",
       " '001000110001000101010001000100010001',\n",
       " '010100100010001000100001000100010010',\n",
       " '000100010001000100110001000100010001',\n",
       " '001100010001000100100001000100010001',\n",
       " '101001100110001001001010100101110001',\n",
       " '101010101000011001000101100010100001',\n",
       " '001100010001000100100001001000010001',\n",
       " '001100010001000100100001001000010001',\n",
       " '000100010001000100100101000100010001',\n",
       " '101010101000101001100101101000110001',\n",
       " '010100010001000100100001000100010001',\n",
       " '001100010001000100100100000100010001',\n",
       " '011001100110010101001010011101100010',\n",
       " '010100110011001000110001001100010001',\n",
       " '101010000100010001001010001110100100',\n",
       " '010000010001000100100001001100010001',\n",
       " '000100010001000100100001001000010001',\n",
       " '100001111000001001000010010110100001',\n",
       " '100000100011000101100011011100010001',\n",
       " '010000010001001000100001000100010001',\n",
       " '101001000110000100101010010100110001',\n",
       " '010100010001000100100001001000010001',\n",
       " '000100010001000100100001000100010001',\n",
       " '010000110001000100100001010010000001',\n",
       " '010100010001000100100001000100010001',\n",
       " '100010101010100001111010100101110001',\n",
       " '000100010001000100010001001100010001',\n",
       " '000100010001001100100001000100010001',\n",
       " '101010101010101000111010101001100001',\n",
       " '000100010001000100100101000100010001',\n",
       " '000100010001000100010001001100010001',\n",
       " '001000010001000100100001001100010001',\n",
       " '101001000011000100110011011001010010',\n",
       " '010100110010100001011010100000010010',\n",
       " '001000010001000100100001000100010001',\n",
       " '001101100100101000110011001101000001',\n",
       " '011000010001000100100001001100010001',\n",
       " '010100010001000100100001001100010010',\n",
       " '010100010001000100100001001000100001',\n",
       " '011110001000011100111010011100100011',\n",
       " '001100010001000100100001001100010001',\n",
       " '010100010011000100100001001100010001',\n",
       " '101000110011101000101010011100110011',\n",
       " '010000110010000100110001001000010001',\n",
       " '011010001000000100110100001101110001',\n",
       " '000100110001000100100001001000100001',\n",
       " '100010101010000100110110001110010001',\n",
       " '010100100001000100100001000100010001',\n",
       " '101000010001000100101010010101000001',\n",
       " '001100010001000100100001000100010001',\n",
       " '100001110110010001001010010100010001',\n",
       " '101010101010000101100001001010000001',\n",
       " '001100100010000101000011001000010001',\n",
       " '001100010010000100100001001000010001',\n",
       " '001000010001000100100001000100010001',\n",
       " '001100010100000100100001000100010001',\n",
       " '010000010001001100010101001000010001',\n",
       " '100110011010001101101010011110100110',\n",
       " '001000010001000100100001000100010001',\n",
       " '000100010001000100010001001000010001',\n",
       " '100110101010000110101000001100110001',\n",
       " '001000010001000100100001001100010001',\n",
       " '001000010001000100100001000100010001',\n",
       " '001100100001000100010001001000010001',\n",
       " '010100110011000100100001001000010001',\n",
       " '010110101010101010101010101000010001',\n",
       " '010000010001000100100001001000010001',\n",
       " '000100110011001000100001011100100001',\n",
       " '010100010011001100100010001000110001',\n",
       " '000100100011000100100001000100010001',\n",
       " '001100010001000100100010001100010001']"
      ]
     },
     "execution_count": 1787,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_data_2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### XCS Algorithm implemetation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1788,
   "metadata": {},
   "outputs": [],
   "source": [
    "from xcs.scenarios import PreClassifiedData, UnclassifiedData"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1789,
   "metadata": {},
   "outputs": [],
   "source": [
    "algorithm = XCSAlgorithm()    # Instance of accuracy based LCS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1795,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set algorithm parameters\n",
    "algorithm.exploration_probability = 0.01\n",
    "algorithm.crossover_probability   = 0.2\n",
    "algorithm.mutation_probability    = 0.001\n",
    "algorithm.discount_factor = 0.01\n",
    "algorithm.do_ga_subsumption = True\n",
    "algorithm.do_action_set_subsumption = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1796,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Training the data\n",
    "X = train_data_2\n",
    "y = train_res\n",
    "\n",
    "#Checking if the train input and output set is equal\n",
    "assert len(X) == len(y)\n",
    "\n",
    "# Generating the scenario env\n",
    "scenario = PreClassifiedData(\n",
    "    X,\n",
    "    y\n",
    ")\n",
    "\n",
    "# Training the model\n",
    "model = algorithm.run(scenario)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "print(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Rule values of the trained model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1797,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0#010##1####00#10#10000##001##01#001 => True  [0.87701]\n",
      "00#1###1#001#0##0001#00#####0#####01 => True  [0.78148]\n"
     ]
    }
   ],
   "source": [
    "for rule in model:\n",
    "    if rule.fitness > .5 and rule.experience >= 10:\n",
    "        print(rule.condition, '=>', rule.action, ' [%.5f]' % rule.fitness)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1798,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7638640429338104"
      ]
     },
     "execution_count": 1798,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Testing trained data\n",
    "inp = train_data_2\n",
    "actop = train_res\n",
    "\n",
    "# Generating the scenario env\n",
    "scenario = UnclassifiedData(inp)\n",
    "\n",
    "# running the scenario for test dataset\n",
    "model.run(scenario, learn=False)\n",
    "\n",
    "# Fetching the predicted output values\n",
    "preop = scenario.get_classifications()\n",
    "\n",
    "# Comparing the predicted value and actual value\n",
    "accuracy_score(actop, preop)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Testing the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1799,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Testing data\n",
    "X = test_data_2\n",
    "yActual = test_res\n",
    "\n",
    "# Generating the scenario env\n",
    "scenario = UnclassifiedData(X)\n",
    "\n",
    "# running the scenario for test dataset\n",
    "model.run(scenario, learn=False)\n",
    "\n",
    "# Fetching the predicted output values\n",
    "yPredicted = scenario.get_classifications()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1802,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7142857142857143"
      ]
     },
     "execution_count": 1802,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Comparing the predicted value and actual value\n",
    "accuracy_score(yActual, yPredicted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1804,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.54545455, 0.79166667])"
      ]
     },
     "execution_count": 1804,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f1_score(yActual, yPredicted, average=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1807,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "confusion_matrix_val = confusion_matrix(yActual, yPredicted)\n",
    "labels = ['Benign', 'Malignant']\n",
    "\n",
    "# Create the plot figure \n",
    "fig = plt.figure()\n",
    "\n",
    "# Comfusion Matrix subplot\n",
    "subplt = fig.add_subplot(111)\n",
    "csubplt = subplt.matshow(confusion_matrix_val)\n",
    "\n",
    "plt.title('Confusion matrix :')\n",
    "fig.colorbar(csubplt)\n",
    "\n",
    "subplt.set_xticklabels([''] + labels)\n",
    "subplt.set_yticklabels([''] + labels)\n",
    "\n",
    "plt.xlabel('Predicted')\n",
    "plt.ylabel('Actual')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The accuracy score got using Genetic Programming was 66.5% where as the accuracy score got by implementing XCS algorithm is 71.5%."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reference: \n",
    "\n",
    "1. https://pythonhosted.org/xcs/\n",
    "2. https://github.com/hosford42/xcs/blob/master/xcs/scenarios.py#L595"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}