Association Rules 2.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a61e5613",
   "metadata": {},
   "source": [
    "## Prepare rules for the \"my_movies\" data sets \n",
    "1) Try different values of support and confidence. Observe the change in number of rules for different support,confidence values.\n",
    "\n",
    "2) Change the minimum length in apriori algorithm.\n",
    "\n",
    "3) Visulize the obtained rules using different plots. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76c39121",
   "metadata": {},
   "source": [
    "## 1. Import Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8c4a9c0e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import itertools\n",
    "import matplotlib.pyplot as plt\n",
    "from mlxtend.frequent_patterns import apriori,association_rules\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4dfe965c",
   "metadata": {},
   "source": [
    "## 2. Import Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "77a2a1a6",
   "metadata": {},
   "outputs": [
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       "      <td>Patriot</td>\n",
       "      <td>Sixth Sense</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>Gladiator</td>\n",
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      "text/plain": [
       "              V1             V2             V3          V4     V5  \\\n",
       "0    Sixth Sense          LOTR1  Harry Potter1  Green Mile  LOTR2   \n",
       "1      Gladiator        Patriot     Braveheart         NaN    NaN   \n",
       "2          LOTR1          LOTR2            NaN         NaN    NaN   \n",
       "3      Gladiator        Patriot    Sixth Sense         NaN    NaN   \n",
       "4      Gladiator        Patriot    Sixth Sense         NaN    NaN   \n",
       "5      Gladiator        Patriot    Sixth Sense         NaN    NaN   \n",
       "6  Harry Potter1  Harry Potter2            NaN         NaN    NaN   \n",
       "7      Gladiator        Patriot            NaN         NaN    NaN   \n",
       "8      Gladiator        Patriot    Sixth Sense         NaN    NaN   \n",
       "9    Sixth Sense           LOTR      Gladiator  Green Mile    NaN   \n",
       "\n",
       "   Sixth Sense  Gladiator  LOTR1  Harry Potter1  Patriot  LOTR2  \\\n",
       "0            1          0      1              1        0      1   \n",
       "1            0          1      0              0        1      0   \n",
       "2            0          0      1              0        0      1   \n",
       "3            1          1      0              0        1      0   \n",
       "4            1          1      0              0        1      0   \n",
       "5            1          1      0              0        1      0   \n",
       "6            0          0      0              1        0      0   \n",
       "7            0          1      0              0        1      0   \n",
       "8            1          1      0              0        1      0   \n",
       "9            1          1      0              0        0      0   \n",
       "\n",
       "   Harry Potter2  LOTR  Braveheart  Green Mile  \n",
       "0              0     0           0           1  \n",
       "1              0     0           1           0  \n",
       "2              0     0           0           0  \n",
       "3              0     0           0           0  \n",
       "4              0     0           0           0  \n",
       "5              0     0           0           0  \n",
       "6              1     0           0           0  \n",
       "7              0     0           0           0  \n",
       "8              0     0           0           0  \n",
       "9              0     1           0           1  "
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     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movie_data = pd.read_csv('my_movies.csv')\n",
    "movie_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5b447515",
   "metadata": {},
   "outputs": [
    {
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       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>8</th>\n",
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       "      <th>9</th>\n",
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       "      <td>0</td>\n",
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      "text/plain": [
       "   Sixth Sense  Gladiator  LOTR1  Harry Potter1  Patriot  LOTR2  \\\n",
       "0            1          0      1              1        0      1   \n",
       "1            0          1      0              0        1      0   \n",
       "2            0          0      1              0        0      1   \n",
       "3            1          1      0              0        1      0   \n",
       "4            1          1      0              0        1      0   \n",
       "5            1          1      0              0        1      0   \n",
       "6            0          0      0              1        0      0   \n",
       "7            0          1      0              0        1      0   \n",
       "8            1          1      0              0        1      0   \n",
       "9            1          1      0              0        0      0   \n",
       "\n",
       "   Harry Potter2  LOTR  Braveheart  Green Mile  \n",
       "0              0     0           0           1  \n",
       "1              0     0           1           0  \n",
       "2              0     0           0           0  \n",
       "3              0     0           0           0  \n",
       "4              0     0           0           0  \n",
       "5              0     0           0           0  \n",
       "6              1     0           0           0  \n",
       "7              0     0           0           0  \n",
       "8              0     0           0           0  \n",
       "9              0     1           0           1  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movie_data = movie_data.iloc[:,5:]\n",
    "movie_data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b380be8e",
   "metadata": {},
   "source": [
    "## 3. Data Understanding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c41d44c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10, 10)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movie_data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "033fc92a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Sixth Sense      0\n",
       "Gladiator        0\n",
       "LOTR1            0\n",
       "Harry Potter1    0\n",
       "Patriot          0\n",
       "LOTR2            0\n",
       "Harry Potter2    0\n",
       "LOTR             0\n",
       "Braveheart       0\n",
       "Green Mile       0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movie_data.isna().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "30056148",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 10 entries, 0 to 9\n",
      "Data columns (total 10 columns):\n",
      " #   Column         Non-Null Count  Dtype\n",
      "---  ------         --------------  -----\n",
      " 0   Sixth Sense    10 non-null     int64\n",
      " 1   Gladiator      10 non-null     int64\n",
      " 2   LOTR1          10 non-null     int64\n",
      " 3   Harry Potter1  10 non-null     int64\n",
      " 4   Patriot        10 non-null     int64\n",
      " 5   LOTR2          10 non-null     int64\n",
      " 6   Harry Potter2  10 non-null     int64\n",
      " 7   LOTR           10 non-null     int64\n",
      " 8   Braveheart     10 non-null     int64\n",
      " 9   Green Mile     10 non-null     int64\n",
      "dtypes: int64(10)\n",
      "memory usage: 928.0 bytes\n"
     ]
    }
   ],
   "source": [
    "movie_data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "90415b99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Sixth Sense      6\n",
       "Gladiator        7\n",
       "LOTR1            2\n",
       "Harry Potter1    2\n",
       "Patriot          6\n",
       "LOTR2            2\n",
       "Harry Potter2    1\n",
       "LOTR             1\n",
       "Braveheart       1\n",
       "Green Mile       2\n",
       "dtype: int64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "count = movie_data.loc[:,:].sum()\n",
    "count"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8007a642",
   "metadata": {},
   "source": [
    "## 4. EDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "fa79f679",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8,8))\n",
    "plt.pie(movie_data.sum(), labels= movie_data.columns,\n",
    "       explode = [0.0,0.02,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],\n",
    "       autopct= '%.2f%%', textprops = {'size':14})\n",
    "\n",
    "plt.title(\"Movies with respect to Purchase Rate\", fontsize = 18, fontweight = 'bold')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f3f1589",
   "metadata": {},
   "source": [
    "### Top 10 Popular items"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c4976da6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>items</th>\n",
       "      <th>count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Gladiator</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Sixth Sense</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Patriot</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>LOTR1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Harry Potter1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>LOTR2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Green Mile</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Harry Potter2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>LOTR</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Braveheart</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           items  count\n",
       "0      Gladiator      7\n",
       "1    Sixth Sense      6\n",
       "2        Patriot      6\n",
       "3          LOTR1      2\n",
       "4  Harry Potter1      2\n",
       "5          LOTR2      2\n",
       "6     Green Mile      2\n",
       "7  Harry Potter2      1\n",
       "8           LOTR      1\n",
       "9     Braveheart      1"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "count.sort_values(0, ascending = False, inplace=True)\n",
    "count = count.to_frame().reset_index()\n",
    "count = count.rename(columns = {'index': 'items',0: 'count'})\n",
    "count"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "05b9d7ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CtwAnTMS+q+oe4J6JGHs0SaZW1cJB7FuSJEnS0jnttNPYfPPNefzjHz/oUoa1Ms44fg74KzCrqr5WVRdX1W+r6uSqejlw4nAbJdk/ya+T3JXk+iRfTPKovj6vTXJNkruTnAJs2Lf+QaeqJtk8ybeT3NCOe36Sv+9ZfwbweOCQJNV32uuuSX6TZEGSa5N8IEl61s9LclCSLyX5C3D8uD8xSZIkSQP1ta99jd13333QZYxopQqOSdYFdgGOqqq7hutTVTVcO03YfAewNbAH8AzgiJ6xtwfmAEcDM4HvAgePUtLawA+AFwBPBb4JnJxky3b9rsB17TgbtwtJtgNOAk4GngK8F3gf8Na+8fcHLgVmAe/v33mS/ZLMTTL3vrvvHKVUSZIkSYOwcOFCvvOd7/DKV75y0KWMaGU7VfVJQIDLehuTXAc8qn371ap6U/+GVXVYz9t5SQ4Avp3kdVX1V+DtwGlV9dG2z+VJng7sO1IxVXURcFFP00eTvAzYDfiPqro1yf3AnVV1Q0+//YGfVtWHevb1JOA99ITZts8nO/Z/NE3QZa2NnjBSYJYkSZI0QD/4wQ/Ydttt2XDDDUfvPCAr1Yxjh2fTzBKeAzx8uA5Jnpvk/5Jcl+ROmtm+qcBGbZcZwC/7Nut/3z/mWkk+meTiJLe1p7HOAjYbpd4ZNNdp9vo5sEmSaT1tc0cZR5IkSdIkd+KJJ07q01Rh5QuOVwIFbNnbWFVXV9WVwN3DbZTk8cD3gEuAVwLbAfu0q6cOdRtHPZ9qxzsQeA6Lw+vUjm2G9jXSDGFv+7Cn40qSJElaMdx999383//9H7vuuuugS+m0UgXHqroF+DHw1iV87MYsmjD3b1X1y6q6HHhsX5+Lgb/ra+t/328H4CtV9c2q+jXN9Yyb9/VZCKw+zL52GGas66rKixUlSZKklcSaa67JLbfcwiMf+chBl9JppQqOrbfQHNd5SXZPslWSJyfZneYGNfcPs80V7TbvSPKEtu87+vp8Bnh+kvcleVKSfwZGe8jK5cArkmyb5CnAV3noqbLzgGcn2STJem3bocBz2rumPjnJnsA7gRGvZ5QkSZKkibLSBcequgp4GvBD4CPABcD5NDec+SwPDYS0s4Fvb/tcDLwBeFdfn7NpboTzZppnQ+4KHDRKOfsDfwZ+RnN31bPb170+CDwO+D1wU7uv82lOcZ0N/Bb4RLscOcr+JEmSJGmZy8hPp9DKZK2NnlBbvubDgy5DkiRJEnDeIa8ddAkPkeS8qpo13LqVbsZRkiRJkrRsGRwlSZIkSZ0MjpIkSZKkTgZHSZIkSVIng6MkSZIkqZPBUZIkSZLUyeAoSZIkSepkcJQkSZIkdZoy6AK0fMzY9DHMnYQPGZUkSZI0+TnjKEmSJEnqZHCUJEmSJHUyOEqSJEmSOhkcJUmSJEmdDI6SJEmSpE4GR0mSJElSJx/HsYpY+Kff8YeDnzLoMiRJkjTBNvvgbwZdglZCzjhKkiRJkjoZHCVJkiRJnQyOkiRJkqROBkdJkiRJUieDoyRJkiSpk8FRkiRJktTJ4ChJkiRJ6mRwlCRJkiR1MjhKkiRJkjoZHCVJkiRJnVao4JjkjCRHLuUY05NUklnLqi5JkiRpsvnLX/7CbrvtxpZbbsmMGTP45S9/OeiStAKbNMExyfpJPptkXpIFSW5MclqSF/R02xV43xKMOSfJKcuxPkmSJGlSePvb386LXvQiLr30Ui666CJmzJgx6JK0Apsy6AJ6fBNYE9gXuBLYAHgO8JihDlV162BKA8ZQnyRJkjQZ3HHHHZx55pnMmTMHgKlTpzJ16tTBFqUV2qSYcUzyKODZwHur6rSquqaqzq2qT1XV13r6PXCqapItktyV5LU961+UZGGSv0tyEPA64KXtqamVZKee3T4+yf8luTvJxV0zh0tQ39Qk/5nkura2c5Ps0rN+p7aO5yX5VbvvuUm27enzyCTHJflzknuTXJXkHX3rj27X35nkp552K0mSpF5XXXUV66+/Pq9//et52tOexhve8AbuuuuuQZelFdikCI7A/Hb5hyQPH8sGVXUZ8G/AkUk2T7I+MAf4aFWdDXwK+DpwKrBxu/yiZ4iPAp8BngqcC3wtydpLWd+xNLOQewBPAb4MfDfJU/v6fRx4L7AtcAtwfJK06/6j3fbvgS2BfYDrAdo+3wM2adc/DTgTOD3Jxv3FJNmvDaZzb73r/o6yJUmStDK57777OP/883nzm9/MBRdcwFprrcUnPvGJQZelFdikCI5VdR+wN7AX8Jckv0zyqSTbj7Ld0cBpwPE0ofH3NMGLqpoP3AMsqKob2mVhz+afrqrvVtUVwPuBdYGZ460vyebA7sCrqurMqrqqqo4Evg+8sW/IA6vqJ1V1KXAwTUDcpF33eOCCqjqnquZV1RlVdVK7bue2xt3a9VdW1YHAVcBrhvt8qmpWVc1ad63Vuz5KSZIkrUQ23XRTNt10U7bfvvl1dbfdduP8888fcFVakU2K4AhQVd8EHgu8DPgB8P+As5O8f5RN3wD8DbAjsFdVjXVq7dc9r//Y/txgKerbFghwcZL5QwvwUmDzJdj354BXJbmoDafP6em7Hc11ljf17WObYfYhSZKkVdRGG23E4x73OC677DIATjvtNLbaaqsBV6UV2WS6OQ5VdS/wf+1ycJIvAgcl+VTfbGGvbYBHtq83Aa4e4+4W9ey32jNFO4N0V33ttgU8vXfs1j0j7bvd5oF9V9UPkjweeDHwPOB7SU6qqte3fW6kud6y3x1dtUuSJGnVcsQRR7DnnnuycOFCnvjEJ3LssccOuiStwCZVcBzGxTQ1Phx4SHBsb1rzFZrrGR8BHJfkqVU1FKIWAhN5jmZvfRfQzDhuVFU/WZpBq+pm4Dia4/kBcGKSNwHnAxsCf62qq5aqckmSJK3UZs6cydy5cwddhlYSkyI4JnkMcBLwJZrTOO8EZgEHAKf1BMF+/w3cDHyQZjbuucBRLL7ebx7w4iRb0NyE5vYJrO+OJMcDc5K8kybkrQvsBFxVVSePcV8Ht9v+jub72bXdfkGSU4GzgG8nOQC4FNgIeBFwalX9bDzHJ0mSJEldJkVwpLlj6dnA22muV3wYzZ1ET6C92U2/JK8B/gHYtqoWtW17AOcm+X5VnQh8gSa4zQXWprm5zLwJrO/1wAeATwKbArcC5wBLMgO5gOaOr08A7m33+zJ44JTal7T7/ALNdZE30oTJr4zjuCRJkiRpVKmq0Xtphfe3mzyiTnnj3wy6DEmSJE2wzT74m0GXoBVUkvOqathnxE+au6pKkiRJkiYng6MkSZIkqZPBUZIkSZLUyeAoSZIkSepkcJQkSZIkdTI4SpIkSZI6GRwlSZIkSZ0MjpIkSZKkTlMGXYCWj6kbb81mH5w76DIkSZIkrYCccZQkSZIkdTI4SpIkSZI6GRwlSZIkSZ0MjpIkSZKkTgZHSZIkSVIng6MkSZIkqZOP41hFXPrnS3nWEc8adBmSJEmaYGe97axBl6CVkDOOkiRJkqROBkdJkiRJUieDoyRJkiSpk8FRkiRJktTJ4ChJkiRJ6mRwlCRJkiR1MjhKkiRJkjoZHCVJkiRJnQyOkiRJkqROBkdJkiRJUieD4ySRZF6Sdw26DkmSJK0c/vKXv7Dbbrux5ZZbMmPGDH75y18OuiStwAyOHZLMSVLtsijJVUk+lWStMWy7U7vdemPc3dOBzy5BbQcl+e1Y+0uSJGnV8va3v50XvehFXHrppVx00UXMmDFj0CVpBTZl0AWsAE4FXgOsATwb+CKwFvDmZTF4kqlVtbCqbloW40mSJEl33HEHZ555JnPmzAFg6tSpTJ06dbBFaYXmjOPoFlTVDVV1bVWdABwPvDzJXknOTXJnkj8nOSnJJgBJpgM/abe/qZ15nNOuOyPJ59qZy5uAs9r2B52qmmSzJP/bjn9nkpOTbNqu2xv4ELB1z4zo3svl05AkSdKkd9VVV7H++uvz+te/nqc97Wm84Q1v4K677hp0WVqBGRyX3D00s49TacLbU4G/B9YDTmz7XAvMbl9vDWwMvL1njL2A0MxgvrZ/B0kCfAvYEHgusDPwWOBb7br/AQ4FLmvH3rht6x9nvyRzk8xdNH/RuA9YkiRJK5b77ruP888/nze/+c1ccMEFrLXWWnziE58YdFlagXmq6hJI8gxgD+C0qvpSz6qrkrwZuCTJplV1XZJb23V/rqqb+4a6uqre2bGr59ME0s2ral677z2AK4HnVdWpSeYD91XVDSMNUlVHA0cDrL3Z2jX2I5UkSdKKbNNNN2XTTTdl++23B2C33XYzOGqpOOM4uhclmZ/kXuCXwJnA25Jsm+TbSa5Jcicwt+2/2RjGPG+U9TOAPw6FRoCqugr4I7DVEh+BJEmSVikbbbQRj3vc47jssssAOO2009hqK3+N1Pg54zi6M4H9gEU0YW5Re1fVH7H4xjl/pjlV9Wc0p7COZrQTzAOMNEPozKEkSZJGdcQRR7DnnnuycOFCnvjEJ3LssccOuiStwAyOo7u7qq7sa9uSJii+v6quBkiya1+fhe3P1cexz4uBTZJM7zlV9Yk01zle3DP+eMaWJEnSKmDmzJnMnTt39I7SGHiq6vj8AVgAvDXJE5O8FPhIX59raGYHX5pk/SRrL8H4pwIXAccn2S7JLJq7uZ4PnN72mQc8vj1ldr0kD1uK45EkSZKkERkcx6F95uLrgJfTzAB+CNi/r8/1bftHgRuBI5dg/GrHvgk4g+bRHjcAL2/XAXwT+D5wWttv93EejiRJkiR1yuIcopXZ2putXU9991MHXYYkSZIm2FlvO2vQJWgFleS8qpo13DpnHCVJkiRJnQyOkiRJkqROBkdJkiRJUieDoyRJkiSpk8FRkiRJktTJ4ChJkiRJ6mRwlCRJkiR1MjhKkiRJkjpNGXQBWj623GBLHwYrSZIkaVyccZQkSZIkdTI4SpIkSZI6GRwlSZIkSZ0MjpIkSZKkTgZHSZIkSVIng6MkSZIkqZOP41hF3HnZZfx0x+cMugxppfGcM3866BIkSZKWG2ccJUmSJEmdDI6SJEmSpE4GR0mSJElSJ4OjJEmSJKmTwVGSJEmS1MngKEmSJEnqZHCUJEmSJHUyOEqSJEmSOhkcJUmSJEmdDI6SJEmSpE4GR0kah2uvvZadd96ZGTNmsPXWW3P44YcPuiRJkqQJY3DskGROklNGWPfwJAcmuSTJvUluTXJKku17+pyRpDqWecP0W5jk90k+nuRhffv8QJKzktyVpCb04CV1mjJlCoceeiiXXHIJZ599NkcddRQXX3zxoMuSJEmaEAbHcUgyFfgx8CbgP4AtgOcBfwZ+luRlbdddgY3bZeu2bXZP29N7hj22bfsb4ADgX4CD+nb9MOBk4LBleTySltzGG2/MtttuC8A666zDjBkzuP766wdclSRJ0sSYMugCVlDvAHYAZlXV+W3bNcA+SdYFjkkyvapuHdogyX3ty1ur6oZhxry7p/0PSfYAXgi8b6hDVX2wHWu3ZXo0kpbKvHnzuOCCC9h+++1H7yxJkrQCcsZxfPYETu0Jjb0OAdYHXjDewZM8FXgWsGi8Y7Tj7JdkbpK5ty9aqqEkjWD+/PnMnj2bww47jGnTpg26HEmSpAlhcByfJwOXjLBu6CKnLZZwzP2SzE+yALiQJnweMr7yGlV1dFXNqqpZj1xjjaUZStIwFi1axOzZs9lzzz3ZddddB12OJEnShPFU1fEb7eY0S3rzmv8BPgxMA94D3FZV3xxPYZImXlWx7777MmPGDPbff/9BlyNJkjShnHEcn8tZfLObflu1P69YwjFvr6or29Nf9wKem2TvcdYnaYKdddZZHHfccZx++unMnDmTmTNn8v3vf3/QZUmSJE0IZxzH5wTg40m2HeY6xwOAm2nuujouVbUoycfafXy9qu5eilolTYAddtiBKp+KI0mSVg3OOI5uWpKZvQvwLeCXwHeS7JHk8e26LwEvBvZdBmHvBJrTXd861JBks3b/09v3QzWtvZT7kiRJkqQROeM4umcDF/S1fRN4Ps3s4odogtw9wFnAjlV19tLutKoWJjkSOCDJ56rqTuBg4HU93Ybq2hk4Y2n3KUmSJEnDiadarRq2WGedOvpp2w66DGml8ZwzfzroEiRJkpapJOdV1azh1nmqqiRJkiSpk8FRkiRJktTJ4ChJkiRJ6mRwlCRJkiR1MjhKkiRJkjoZHCVJkiRJnQyOkiRJkqROBkdJkiRJUqcpgy5Ay8c6W2zhA8slSZIkjYszjpIkSZKkTgZHSZIkSVIng6MkSZIkqZPBUZIkSZLUyeAoSZIkSepkcJQkSZIkdfJxHKuIP193O0e+87uDLkNaabz10JcNugRJkqTlxhlHSZIkSVIng6MkSZIkqZPBUZIkSZLUyeAoSZIkSepkcJQkSZIkdTI4SpIkSZI6GRwlSZIkSZ0MjpIkSZKkTgZHSZIkSVIng6MkSZIkqZPBUZLG4dprr2XnnXdmxowZbL311hx++OGDLkmSJGnCTFhwTDInySnDtM9KUkmmT9S+l1SSg9qaKsn9Sa5N8sUk649x++nttrP62of9DJaizh2TfCfJ9e3+9l5WY0taMlOmTOHQQw/lkksu4eyzz+aoo47i4osvHnRZkiRJE2KFnHFMMnWE9jWWYtjLgI2BzYA3Ay8DvrIU4y0zSaYkCbA28Fvg7cA9g61KWrVtvPHGbLvttgCss846zJgxg+uvv37AVUmSJE2MgQfHJKsnOSbJ1UnuSXJFkgOSrNbTZ06SU5K8J8l1wHU9s3y7Jzk9yT3AW5LckWS3vn28IMmiJBt2lHJfVd1QVddX1SnAZ4AXJnlEktWSHNjORC5I8psk/9iz7dXtz3Pbms5IchDwOuClPbOZO7X1bJLka0lua5fvJXlST70HJfltkr2T/B5YAKxVVd+vqvdX1TeAv47zI5e0jM2bN48LLriA7bffftClSJIkTYgpgy6AJrxeD7wKuAl4BnA0cAtwTE+/5wC3Ay8C0tP+ceBdwL7AImArYB/gGz199gFOqaobl6Cue9rapgBvAt7d/pwL7AWcnGS7qrqwrfmctraLgIXtMgNYF3hNO+atSdYEfgL8oj2mhW39pyaZUVV3t32fAOwBvLLtc+8S1C5pOZk/fz6zZ8/msMMOY9q0aYMuR5IkaUJMdHB8UZL5fW0PmuWsqkXAB3ua5iXZFtidBwfHe4F9qmoBNNcVtu1HtDNwtO1fAM5OsklVXZ/k0cDLaQLYmCTZkuZ01XOq6s4k7wI+VVUntF0+mGRHmsC3F03gBbilqm7oGeceYEFf2140wff1VVVt2xuBPwN/D3y97ToVeM0Sht3+49gP2A/g0euM6XJNSUtg0aJFzJ49mz333JNdd9110OVIkiRNmIk+VfVMYGbfskd/pyRvSjI3yU1t0Pw3mmsNe/12KDT2mdv7pqrmAr+hOU2Udn+3AT8YpdYZSea3Ye9i4FpgzyTTgMcCZ/X1/znN7OaS2o5mNvHOdn/zaWZSHw1s3tPvuqUJjQBVdXRVzaqqWWuv+cilGUpSn6pi3333ZcaMGey///6DLkeSJGlCTfSM491VdWVvQ5JH9b3/J+Awmtm7XwB3AP8CvKJvrLtG2Mdw7V8E3gF8jOY01TlVdf8otf4eeAlwP/DHnpnNoXPPaphthmsbzWrAhcCrh1l3a8/rkY5X0iRw1llncdxxx/GUpzyFmTNnAvCxj32Ml7zkJYMtTJIkaQJMhmscdwB+VVVHDjUk2byj/1h8FTgkyVuBbRk+pPVb2B9yAarqjiR/bOs8vWfVDjQzk9Bcgwiwev+Yw7SdT3Ma7s1V9Zcx1CVpEtphhx1ozzaXJEla6Q38rqrA5cC2SV6c5ElJDqS5acy4VdXtwEnAocCZVXXFUtZ4CPCu9g6uT05yMPDsdnxork+8B9glyYZJhs4LnQdsk2SLJOu1jws5HrgR+HaS5yR5Qvt8xkN776w6nCRrJ5mZZCbNd7dZ+77/tF5JkiRJWmYmQ3D8PM0NYU4AzgWmsziQLY1jaG4wc8xoHcfgMzTh8ZM0z1F8BTC7vaMqVXUf8K/AG4A/At9ut/sCcAnNdZg3Ac9q75q6I3AVTbi9FPgyzTWOt41SxyzggnZ5BPDh9vXBy+AYJUmSJGlYWVlPtWqvnfw88NieR1yssjbb6El1wJ7/NegypJXGWw992aBLkCRJWqaSnFdVs4Zbt8QzjkkeneRvl76siZFkzSRbAe8HvmBolCRJkqSlM6bgmOSMJNOSrEvzgPtjk0zW6asDaGq8FfjIgGuRJEmSpBXeWGccH1lVdwC7AsdW1XbA8yeurPGrqoOqao2q2rmtWZIkSZK0FMYaHKck2Rh4FXDKBNYjSZIkSZpkxhocDwZ+BFxZVecmeSKwtI+4kCRJkiStAKaMpVNVnUTz6Iih91cBsyeqKEmSJEnS5DGm4JjkCcDbaJ6x+MA2VfUPE1OWJEmSJGmyGFNwBL4FHAN8F/jrhFUjSZIkSZp0xhoc762qz0xoJZpQG2z6SB9YLkmSJGlcxhocD0/yIeDHwIKhxqo6f0KqkiRJkiRNGmMNjk8BXgM8l8Wnqlb7XpIkSZK0EhtrcHwF8MSqWjiRxUiSJEmSJp+xPsfxIuBRE1iHJEmSJGmSGuuM44bApUnO5cHXOPo4DkmSJElayY01OH5oQquQJEmSJE1aqaqxdUweDzypqk5NsiawelXdOaHVaZnZ5DGPrre8+HmDLkNaaXzgq98YdAmSJEnLVJLzqmrWcOvGdI1jkn8GvgF8vm3aBPjWMqlOkiRJkjSpjfXmOP8CPAu4A6CqrgA2mKiiJEmSJEmTx1iD44LeR3EkmULzHEdJkiRJ0kpurMHxp0neDzwiyQuAk4DvTlxZkiRJkqTJYqzB8b3ATcBvgDcC36+qD0xYVZIkSZKkSWOsj+N4W1UdDnxhqCHJ29s2SZIkSdJKbKwzjq8bpm3vZViHJEmSJGmS6pxxTLI7sAfwhCTf6Vm1DnDLRBYmSZIkSZocRjtV9RfAn4D1gEN72u8Efj1RRUmSJEmSJo/O4FhV1wDXAM9cPuVIkiRJkiabzmsck/y8/Xlnkjt6ljuT3LF8SpSkyefaa69l5513ZsaMGWy99dYcfrj3CpMkSSuvzuBYVTu0P9epqmk9yzpVNW35lDg4SeYkOWWEdQ9PcmCSS5Lcm+TWJKck2b6nzxlJqmOZN0y/hUl+n+TjSR7WM9b0JMckuSrJPe3Pjyd5xIR/EJIeYsqUKRx66KFccsklnH322Rx11FFcfPHFgy5LkiRpQoz1cRzqkWQq8GNgc+AA4OfAusDbgJ8lmV1V3wV2Baa2m60L/A6YTXPtKMD9PcMeC7y/7f/09j3A+9qfWwKrA28GrgBmAEcDjwH2W7ZHKGk0G2+8MRtvvDEA66yzDjNmzOD6669nq622GnBlkiRJy57BcXzeAewAzKqq89u2a4B9kqwLHJNkelXdOrRBkvval7dW1Q3DjHl3T/sfkuwBvJA2OFbVD4Ef9vS/KslHgY9gcJQGat68eVxwwQVsv/32o3eWJElaAY31OY56sD2BU3tCY69DgPWBF4x38CRPBZ4FLBql6zTgtvHuR9LSmz9/PrNnz+awww5j2rSV/gx+SZK0ijI4js+TgUtGWDd0kdMWSzjmfknmJ1kAXEgTPg8ZqXOSzYB3AZ/t6LNfkrlJ5t5174IlLEfSaBYtWsTs2bPZc8892XXXXQddjiRJ0oQxOI5fLeX6fv8DzKR59MnXgS9U1TeH65hkQ+BHwP8Bnx6xgKqjq2pWVc1a6+EPG6mbpHGoKvbdd19mzJjB/vvvP+hyJEmSJpTBcXwuB7YeYd3QnTGuWMIxb6+qK9vTX/cCnptk7/5OSTYCfgL8FnhNVS1pQJW0DJx11lkcd9xxnH766cycOZOZM2fy/e9/f9BlSZIkTQhvjjM+JwAfT7LtMNc5HgDcTHPX1XGpqkVJPtbu4+tVdTdAko1pQuPvgN2r6r6ucSRNnB122AH/3UaSJK0qnHEc3bQkM3sX4FvAL4HvJNkjyePbdV8CXgzsOxT2lsIJNKe7vhUgyWOBnwI30NzVdb0kG7XL6ku5L0mSJEkakTOOo3s2cEFf2zeB59PMLn4ImA7cA5wF7FhVZy/tTqtqYZIjgQOSfI7m0RxPapc/9HV/AjBvafcpSZIkScOJp1qtGjZ5zKPrLS9+3qDLkFYaH/jqNwZdgiRJ0jKV5LyqmjXcOk9VlSRJkiR1MjhKkiRJkjoZHCVJkiRJnQyOkiRJkqROBkdJkiRJUieDoyRJkiSpk8FRkiRJktTJ4ChJkiRJ6jRl0AVo+dj4CZv7wHJJkiRJ4+KMoyRJkiSpk8FRkiRJktTJ4ChJkiRJ6mRwlCRJkiR1MjhKkiRJkjoZHCVJkiRJnXwcxyri3j/dySUfPX3QZUgrjRkfeO6gS5AkSVpunHGUJEmSJHUyOEqSJEmSOhkcJUmSJEmdDI6SJEmSpE4GR0mSJElSJ4OjJEmSJKmTwVGSJEmS1MngKEmSJEnqZHCUJEmSJHUyOEqSJEmSOhkcJ5Ekc5KcMtJ7SZIkSRqEFSI4JtkwyaeTXJHk3iR/TvKLJG9Lsvag6xtJkjOSVJJ/H2bd19t1R/Y0vx3Ya/lVKGm8rr32WnbeeWdmzJjB1ltvzeGHHz7okiRJkibMlEEXMJok04GzgDuAA4Ff0wTeJwOvBW4BThhh26lVtXD5VDqia4HXJ/loVVVb12OAf2jXPaCqbh9AfZLGYcqUKRx66KFsu+223HnnnWy33Xa84AUvYKutthp0aZIkScvcijDj+Dngr8CsqvpaVV1cVb+tqpOr6uXAiUMd2xm8f0lycpK7gI+17S9Lcl47W3l1ko8mmdqz3dQk/5nkuiR3JTk3yS4963dqx35ekl8luTvJ3CTbjqH+HwBrAzv1tO0F/Aq4qrfjaKempnFAkt8nuSfJb5I4QykNwMYbb8y22zb/CVhnnXWYMWMG119//YCrkiRJmhiTOjgmWRfYBTiqqu4ars/QLF6PDwHfB54CHNUGwOOBI4GtgX2A3WhDZetY4DnAHu12Xwa+m+SpfWN/HHgvsC3NTOfxSTLKYSwCvtLud8g+wDGjbDec/wD2Bf4F2Kqt5/NJXjqOsSQtI/PmzeOCCy5g++23H3QpkiRJE2JSB0fgSUCAy3ob25nB+e3y333b/E9VfbGqrqqqq4EPAIdU1bFV9fuq+gnwHuBN7Qze5sDuwKuq6sx2uyNpwucb+8Y+sKp+UlWXAgcDWwKbjOE4vgTsmmRaklnAdOAbS/JBJFkL2B94Q1X9sKqurqoTgC/QBMnhttmvnRmde+tdf1mS3Ukao/nz5zN79mwOO+wwpk2bNuhyJEmSJsSkv8ZxBM8GVgeOBh7et25u3/vtgGckeU9P22rAI4CNaGYPA1zcN3n4MOD0vrF+3fP6j+3PDYDruoqtqkuSXEQTUGcCX6uqu0efrHyQrWiO9YdJemdZ1wDmjbDfo2k+I7bZZIv+mVlJS2nRokXMnj2bPffck1133XXQ5UiSJE2YyR4crwSKZmbvAe1MIknuHmab/lNaVwM+DJw0TN+b2vUFPJ3mtNJe9/S9710/FMTGOmv7JeAtwBNpTr9dUkP7eRnwh466JC0HVcW+++7LjBkz2H///QddjiRJ0oSa1MGxqm5J8mPgrUmOqKr54xjmfGDLqrpyuJVJLqCZcdyoPY11ovwPcBgwr6p+NY7tLwYWAI+vqv6ZUEnL2VlnncVxxx3HU57yFGbOnAnAxz72MV7ykpcMtjBJkqQJMKmDY+stNI/jOC/JQcBFwH00p6A+FfjxKNsfDJyS5Brg6+222wDPqKoDquryJMcDc5K8kyZorktzF9SrqurkZXEQVXVnkk2A+5di+08Bn2pvyHMmzd1a/w74a3taqqTlZIcdduCh9+aSJElaOU364FhVVyV5GvA+4CPA42hOzbwE+CzN3VK7tv9Re9fRA4F30QTHy4E5Pd1eT3MTnU8CmwK3AucAy3QGchk8p/FA4Eaa4/gczbMtL6SpW5IkSZImRPwX81XDNptsUSe95XODLkNaacz4wHMHXYIkSdIyleS8qpo13LrJ/jgOSZIkSdKAGRwlSZIkSZ0MjpIkSZKkTgZHSZIkSVIng6MkSZIkqZPBUZIkSZLUyeAoSZIkSepkcJQkSZIkdZoy6AK0fDx843V8YLkkSZKkcXHGUZIkSZLUyeAoSZIkSepkcJQkSZIkdTI4SpIkSZI6GRwlSZIkSZ0MjpIkSZKkTj6OYxXxxz/+kYMOOmjQZWgUfkeSJEmajJxxlCRJkiR1MjhKkiRJkjoZHCVJkiRJnQyOkiRJkqROBkdJkiRJUieDoyRJkiSpk8FRkiRJktTJ4ChJkiRJ6mRwlCRJkiR1MjhKkiRJkjoZHCVJkiRJnSYsOCaZk+SUYdpnJakk0ydq30sqyUFtTZXk/iTXJvlikvXHuP30dttZfe3DfgZLUef7kpyb5I4kNyX5bpJtltX4mhz22WcfNthgA7bZxq9WkiRJk8MKOeOYZOoI7WssxbCXARsDmwFvBl4GfGUpxltmkkxJEmAn4LPA/wOeC9wHnJpk3QGWp2Vs77335oc//OGgy5AkSZIeMPDgmGT1JMckuTrJPUmuSHJAktV6+sxJckqS9yS5DriuZ5Zv9ySnJ7kHeEs7G7db3z5ekGRRkg07Srmvqm6oquur6hTgM8ALkzwiyWpJDmxnIhck+U2Sf+zZ9ur257ltTWckOQh4HfDSntnMndp6NknytSS3tcv3kjypp96Dkvw2yd5Jfg8sANaqql2q6tiq+m1V/QZ4DbA+8KxxffialHbccUfWXdd/C5AkSdLkMWXQBdCE1+uBVwE3Ac8AjgZuAY7p6fcc4HbgRUB62j8OvAvYF1gEbAXsA3yjp88+wClVdeMS1HVPW9sU4E3Au9ufc4G9gJOTbFdVF7Y1n9PWdhGwsF1mAOvSBDyAW5OsCfwE+EV7TAvb+k9NMqOq7m77PgHYA3hl2+feYWpcp63xtiU4LkmSJElaIhMdHF+UZH5f24NmOatqEfDBnqZ5SbYFdufBwfFeYJ+qWgDNdYVt+xFV9UBITPIF4Owkm1TV9UkeDbycJoCNSZItaU5XPaeq7kzyLuBTVXVC2+WDSXakCXx70QRegFuq6oaece4BFvS17UUTfF9fVdW2vRH4M/D3wNfbrlOB14wSdg8HLgR+OcJx7AfsB/DIRz5yjEcvSZIkSQ820aeqngnM7Fv26O+U5E1J5rY3fJkP/BvNtYa9fjsUGvvM7X1TVXOB39CcJkq7v9uAH4xS64wk89uwdzFwLbBnkmnAY4Gz+vr/nGZ2c0ltRzObeGe7v/k0M6mPBjbv6XddV2hM8l/ADsDsqrp/uD5VdXRVzaqqWWuuueY4SpUkSZKkiZ9xvLuqruxtSPKovvf/BBxGM3v3C+AO4F+AV/SNddcI+xiu/YvAO4CP0ZymOmekcNXj98BLgPuBP/bMbE5r19cw2wzXNprVaGYJXz3Mult7Xo90vCT5dLv9zlV11ThqkCRJkqQxG/jNcWhmzX5VVUdW1flt0Nx8tI1G8VVgkyRvBbYFjh3DNgur6sqqurp3ZrOq7gD+2NbZX/fFQ9u2P1fvH3OYtvOBvwFubvfXu9zKKJIcTjOL+tyqunQMx6UVzO67784zn/lMLrvsMjbddFOOOeaY0TeSJEmSJtBkuDnO5cDeSV4MXEkzk/YcluKGL1V1e5KTgEOBM6vqiqWs8RDg4CRXAOfRXNf4bJrTTqG5PvEeYJck84B7q+p2YB7w4iRb0Nzs53bgeJrZ1W8n+SDwB+BxwD8C/91Va5KjaG6083LgtiQbtavmV1X/taRaQZ144omDLkGSJEl6kMkw4/h5mhvCnACcC0ynCXxL6xiaG8wsi+maz9CEx08Cv6U5jXZ2e0dVquo+4F+BN9DMTn673e4LwCU012HeBDyrvWvqjsBVwEnApcCXaa5xHC0sv4XmTqqnAX/qWd61DI5RkiRJkoaV9saeK5322snPA4/tecTFKuuxj31s7bfffoMuQ6M46KCDBl2CJEmSVlFJzquqWcOtmwynqi5T7XMSpwPvB75gaJQkSZKkpTMZTlVd1g4ALqK5Q+lHBlyLJEmSJK3wVrrgWFUHVdUaVbVze0dUSZIkSdJSWOmCoyRJkiRp2TI4SpIkSZI6GRwlSZIkSZ0MjpIkSZKkTgZHSZIkSVKnVNWga9ByMGvWrJo7d+6gy5AkSZI0SSU5r6pmDbfOGUdJkiRJUieDoyRJkiSpk8FRkiRJktTJ4ChJkiRJ6mRwlCRJkiR1MjhKkiRJkjoZHCVJkiRJnaYMugAtH7fddglfP+kZgy5Do3jVK88ZdAmSJEnSQzjjKEmSJEnqZHCUJEmSJHUyOEqSJEmSOhkcJUmSJEmdDI6SJEmSpE4GR0mSJElSJ4OjJEmSJKmTwVGSJEmS1MngKEmSJEnqZHCUJEmSJHUyOC6lJHOSnDLCuocnOTDJJUnuTXJrklOSbN/T54wk1bHMG6bfwiS/T/LxJA9bToeq5WSfffZhgw02YJttthl0KZIkSRJgcJwwSaYCPwbeBPwHsAXwPODPwM+SvKztuiuwcbts3bbN7ml7es+wx7ZtfwMcAPwLcNBEHoeWv7333psf/vCHgy5DkiRJesCUQRewEnsHsAMwq6rOb9uuAfZJsi5wTJLpVXXr0AZJ7mtf3lpVNwwz5t097X9IsgfwQuB9E3IEGogdd9yRefPmDboMSZIk6QHOOE6cPYFTe0Jjr0OA9YEXjHfwJE8FngUsGu8YkiRJkjQWBseJ82TgkhHWXdz+3GIJx9wvyfwkC4ALacLnISN1TrJfkrlJ5t5xx30jdZMkSZKkTgbHiVVLub7f/wAzgWcCXwe+UFXfHHHwqqOralZVzZo2zbOSJUmSJI2PwXHiXM7im93026r9ecUSjnl7VV3Znv66F/DcJHuPsz5JkiRJGhOD48Q5AXhekm2HWXcAcDPNXVfHpaoWAR8DPp5kzfGOo8ln991355nPfCaXXXYZm266Kcccc8ygS5IkSdIqzvMXl41pSWb2tX0L+AfgO0kOAM4CHg38K/BiYLequnsp93sCTXh8K/DJpRxLk8SJJ5446BIkSZKkBzE4LhvPBi7oa/sm8Hya2cUPAdOBe2gC5I5VdfbS7rSqFiY5Ejggyeeq6s6lHVOSJEmS+qVqSe/PohXR5puvVR//xEiXXGqyeNUrzxl0CZIkSVpFJTmvqmYNt85rHCVJkiRJnQyOkiRJkqROBkdJkiRJUieDoyRJkiSpk8FRkiRJktTJ4ChJkiRJ6mRwlCRJkiR1MjhKkiRJkjpNGXQBWj4e/egZPlxekiRJ0rg44yhJkiRJ6mRwlCRJkiR1MjhKkiRJkjoZHCVJkiRJnQyOkiRJkqROBkdJkiRJUieDoyRJkiSpk89xXEVcfNsdPPUbPxp0GRrFRbvtMugSJEmSpIdwxlGSJEmS1MngKEmSJEnqZHCUJEmSJHUyOEqSJEmSOhkcJUmSJEmdDI6SJEmSpE4GR0mSJElSJ4OjJEmSJKmTwVGSJEmS1MngOE5J5iV516DrkCRJkqSJNmmDY5I5SapnuTnJKUm2HHRtk0H7mew26Dq07O2zzz5ssMEGbLPNNoMuRZIkSQImcXBsnQps3C4vBB4B/O9InZOssZzqGpgkUwddgybW3nvvzQ9/+MNBlyFJkiQ9YLIHxwVVdUO7nA98GtgyySOSTG9n3XZPcnqSe4A3JnlMkhOTXJfkniS/S/L6oQGTvDHJjUmm9O4oyQlJvt3z/mVJzktyb5Krk3x0mND28CSfT3JHu7939435yCRHJ/lzkjuT/DTJrJ71nbW2fc5I8rkkn0pyE3BWknnt6pPaz2AeWmnsuOOOrLvuuoMuQ5IkSXrAZA+OD0iyDvBPwG+q6p6eVR8HPgtsBXwLeDhwPvD3wNbA4cDnkzyv7f914FHA83vGXgv4R+Cr7ftdgOOBI9sx9gF2Az7WV9a/Ab8BtgX+E/hkkme2YwT4HrBJW8vTgDOB05Ns3G4/Wq1D9gICPBt4LfD0tv2faWZjn44kSZIkTZApo3cZqBclmd++Xgu4FnhJX58jquobfW2H9Lw+Oslzgd2B06rqtiTfB/YEhs4HfAVwH/Dd9v0HgEOq6tj2/e+TvAf4apJ3V1W17T+uqiOH6kjyr8DzgF8COwMzgfV7gu6BSV4GvAb4ZFVd31VrT/vVVfXO3gNscil/qaobGEGS/YD9ANZYb4ORukmSJElSp8keHM+kDT7AusBbgB8n2b6nz9zeDZKsDryXZnZyE+BhwFTgjJ5uXwXmJFmzqu6mCZHfqKp72/XbAc9ow+KQ1WiusdwI+FPb9uu+ev8IDCW07YA1gZvakDfk4cDmS1ArwHmMQ1UdDRwNsObmT65RukuSJEnSsCZ7cLy7qq4cepPkPOB2mjB5TNt8V9827wLeCbyd5jTS+TSnmPZOuZ1CM8P4j0lOozlt9YU961cDPgycNExNN/W8XtS3rlh8+u9qwI00p5f2u2MJaoWHHqMkSZIkLTeTPTj2K+CvNDN5I9kB+G5VHQcPXGv4ZOAvDwxStSDJN2hmGtcDbgB+2jPG+cCWvaF1HM4HNgT+WlVXjbfWDouA1ZeiPk1Su+++O2eccQY333wzm266KR/+8IfZd999B12WJEmSVmGTPTg+LMlG7etHA28F1mbxtYjDuRz4pyQ7ADcDbwOeAFzQ1++rNI/7eAJwQlX9tWfdwcApSa6huZnOfcA2wDOq6oAx1n4qcBbw7SQHAJfSnOb6IuDUqvrZEtQ6nHnA85L8lObus7eNsS5NcieeeOKgS5AkSZIeZLLfVfX5NNcT/gn4Fc3dQ19ZVWd0bPMfwDnAD2iukbyL5g6p/c4Erqe5G+tXe1dU1Y+Al9Lc4Oacdnkv8IexFt7eQOclwOnAF4DLaELoFjTXQi5JrcN5Z1vftYwtaEqSJEnSuGTxDUK1Mltz8yfXk/7ziEGXoVFctNsugy5BkiRJq6gk51XVrOHWTfYZR0mSJEnSgBkcJUmSJEmdDI6SJEmSpE4GR0mSJElSJ4OjJEmSJKmTwVGSJEmS1MngKEmSJEnqZHCUJEmSJHWaMugCtHxs9ehpzPXh8pIkSZLGwRlHSZIkSVIng6MkSZIkqZPBUZIkSZLUKVU16Bq0HCS5E7hs0HVoVOsBNw+6CI2J39WKwe9pxeD3tOLwu1ox+D2tGCbj9/T4qlp/uBXeHGfVcVlVzRp0EeqWZK7f04rB72rF4Pe0YvB7WnH4Xa0Y/J5WDCva9+SpqpIkSZKkTgZHSZIkSVIng+Oq4+hBF6Ax8XtacfhdrRj8nlYMfk8rDr+rFYPf04phhfqevDmOJEmSJKmTM46SJEmSpE4GR0mSJElSJ4OjJEmSJKmTwXEll2TdJP+b5K4k1yTZY9A16aGSvDXJ3CQLkswZdD0aXpKHJTmm/bt0Z5ILkrx40HXpoZJ8NcmfktyR5PIkbxh0TRpZkicluTfJVwddi4aX5Iz2O5rfLpcNuiYNL8mrk1zS/u73+yTPHnRNWqzn79DQcn+SIwZd11hMGXQBmnBHAQuBDYGZwPeSXFRVvxtoVer3R+A/gF2ARwy4Fo1sCnAt8BzgD8BLgK8neUpVzRtkYXqIjwP7VtWCJFsCZyS5oKrOG3RhGtZRwLmDLkKjemtVfXHQRWhkSV4A/CfwT8A5wMaDrUj9qmrtoddJ1gJuBE4aXEVj54zjSqz9wzgbOLCq5lfVz4HvAK8ZbGXqV1UnV9W3gFsGXYtGVlV3VdVBVTWvqv5aVacAVwPbDbo2PVhV/a6qFgy9bZfNB1iSRpDk1cBfgNMGXIq0MvgwcHBVnd3+f+r6qrp+0EVpRLsBfwZ+NuhCxsLguHJ7MnB/VV3e03YRsPWA6pFWKkk2pPl75gz+JJTks0nuBi4F/gR8f8AlqU+SacDBwDsHXYvG5ONJbk5yVpKdBl2MHizJ6sAsYP0kVya5LsmRSTyTafJ6HfCVWkGej2hwXLmtDdze13Y7sM4AapFWKknWAI4HvlxVlw66Hj1UVb2F5r93zwZOBhZ0b6EB+AhwTFVdO+hCNKr3AE8ENqF5aPl3kziLP7lsCKxBM4v1bJpLlJ4G/PsAa9IIkmxGc+nLlwddy1gZHFdu84FpfW3TgDsHUIu00kiyGnAczfXDbx1wOepQVfe3p+lvCrx50PVosSQzgecDnx5wKRqDqvpVVd1ZVQuq6svAWTTXeWvyuKf9eURV/amqbgb+C7+nyeq1wM+r6upBFzJW3hxn5XY5MCXJk6rqirbtqXhanTRuSQIcQ/Mvuy+pqkUDLkljMwWvcZxsdgKmA39o/lqxNrB6kq2qatsB1qWxKSCDLkKLVdVtSa6j+W40+b0W+MSgi1gSzjiuxKrqLprTsw5OslaSZwH/SDNTokkkyZQkDwdWp/nF6eFJ/IedyelzwAzgZVV1z2idtfwl2aC9Hf3aSVZPsguwO3D6oGvTgxxNE+Zntst/A9+jubu0JpEkj0qyy9D/m5LsCewI/GjQtekhjgXe1v538NHAO4BTBluS+iX5fzSnfa8Qd1Md4i+mK7+3AF+iuWPTLcCbfRTHpPTvwId63u9Fc2e0gwZSjYaV5PHAG2mulbuhnSUBeGNVHT+wwtSvaE5L/W+afyC9BnhHVX17oFXpQarqbuDuofdJ5gP3VtVNg6tKI1iD5pFRWwL309xw6uVV5bMcJ5+PAOvRnHV2L/B14KMDrUjDeR1wclWtUJePZQW5iY8kSZIkaUA8VVWSJEmS1MngKEmSJEnqZHCUJEmSJHUyOEqSJEmSOhkcJUmSJEmdDI6SJEmSpE4GR0mS1CnJO5KsOeg6JEmD43McJUlSpyTzgFlVdfOga5EkDYYzjpIkrQSSvDbJr5NclOS4JI9PclrbdlqSzdp+c5Ls1rPd/PbnTknOSPKNJJcmOT6NfwUeC/wkyU8Gc3SSpEGbMugCJEnS0kmyNfAB4FlVdXOSdYEvA1+pqi8n2Qf4DPDyUYZ6GrA18EfgrHa8zyTZH9jZGUdJWnU54yhJ0orvucA3hoJdVd0KPBM4oV1/HLDDGMY5p6quq6q/AhcC05d9qZKkFZHBUZKkFV+A0W5aMLT+Ptr//ycJMLWnz4Ke1/fjmUmSpJbBUZKkFd9pwKuSPAagPVX1F8Cr2/V7Aj9vX88Dtmtf/yOwxhjGvxNYZ1kVK0la8fgviZIkreCq6ndJPgr8NMn9wAXAvwJfSvJu4Cbg9W33LwDfTnIOTeC8awy7OBr4QZI/VdXOy/4IJEmTnY/jkCRJkiR18lRVSZIkSVIng6MkSZIkqZPBUZIkSZLUyeAoSZIkSepkcJQkSZIkdTI4SpIkSZI6GRwlSZIkSZ3+P45eSIFAsZqYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1008x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (14,7))\n",
    "ax = sns.barplot(x = 'count', y = 'items', data= count)\n",
    "plt.yticks(rotation = 0, fontsize = 14)\n",
    "plt.xticks(rotation = 0, fontsize = 12)\n",
    "plt.title('Movies Purchase Frequency',  fontsize = 18, fontweight = 'bold')\n",
    "for i in ax.containers:\n",
    "    ax.bar_label(i,)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5fb48044",
   "metadata": {},
   "source": [
    "### Observations:\n",
    "* Most Frequent Saw the Movies are : Gladiator and Sixth Sense"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fd3d13c",
   "metadata": {},
   "source": [
    "## 5. Support and Length\n",
    "* If we divide all items with row number, we can find Support value. Our threshold value is 0.2 for Support value.\n",
    "\n",
    "### Product Frequency / Total Sales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0e95aa0a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Gladiator</th>\n",
       "      <td>0.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sixth Sense</th>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Patriot</th>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR1</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Harry Potter1</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR2</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Green Mile</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Harry Potter2</th>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR</th>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Braveheart</th>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Support\n",
       "Gladiator          0.7\n",
       "Sixth Sense        0.6\n",
       "Patriot            0.6\n",
       "LOTR1              0.2\n",
       "Harry Potter1      0.2\n",
       "LOTR2              0.2\n",
       "Green Mile         0.2\n",
       "Harry Potter2      0.1\n",
       "LOTR               0.1\n",
       "Braveheart         0.1"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "first = pd.DataFrame(movie_data.sum() / movie_data.shape[0], columns = [\"Support\"]).sort_values(\"Support\", ascending = False)\n",
    "first"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6a54931",
   "metadata": {},
   "source": [
    "### Elimination by Support Value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "737fcf36",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Gladiator</th>\n",
       "      <td>0.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sixth Sense</th>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Patriot</th>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR1</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Harry Potter1</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR2</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Green Mile</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Harry Potter2</th>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR</th>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Braveheart</th>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Support\n",
       "Gladiator          0.7\n",
       "Sixth Sense        0.6\n",
       "Patriot            0.6\n",
       "LOTR1              0.2\n",
       "Harry Potter1      0.2\n",
       "LOTR2              0.2\n",
       "Green Mile         0.2\n",
       "Harry Potter2      0.1\n",
       "LOTR               0.1\n",
       "Braveheart         0.1"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "first[first.Support >= 0.1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "efa5c7f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Gladiator</th>\n",
       "      <td>0.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sixth Sense</th>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Patriot</th>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR1</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Harry Potter1</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR2</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Green Mile</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Support\n",
       "Gladiator          0.7\n",
       "Sixth Sense        0.6\n",
       "Patriot            0.6\n",
       "LOTR1              0.2\n",
       "Harry Potter1      0.2\n",
       "LOTR2              0.2\n",
       "Green Mile         0.2"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "first[first.Support >= 0.15]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "7382f4c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Gladiator</th>\n",
       "      <td>0.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sixth Sense</th>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Patriot</th>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR1</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Harry Potter1</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LOTR2</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Green Mile</th>\n",
       "      <td>0.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Support\n",
       "Gladiator          0.7\n",
       "Sixth Sense        0.6\n",
       "Patriot            0.6\n",
       "LOTR1              0.2\n",
       "Harry Potter1      0.2\n",
       "LOTR2              0.2\n",
       "Green Mile         0.2"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "first[first.Support >= 0.20]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c5722ee",
   "metadata": {},
   "source": [
    "### Second Iteration: Find support values for pair product combinations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "829a1b6d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['Gladiator', 'Sixth Sense'],\n",
       " ['Gladiator', 'Patriot'],\n",
       " ['Gladiator', 'LOTR1'],\n",
       " ['Gladiator', 'Harry Potter1'],\n",
       " ['Gladiator', 'LOTR2'],\n",
       " ['Gladiator', 'Green Mile'],\n",
       " ['Gladiator', 'Harry Potter2'],\n",
       " ['Gladiator', 'LOTR'],\n",
       " ['Gladiator', 'Braveheart'],\n",
       " ['Sixth Sense', 'Patriot']]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "second = list(itertools.combinations(first.index, 2))\n",
    "second = [list(i) for i in second]\n",
    "\n",
    "second[:10] # Sample of combinations"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7c853bd",
   "metadata": {},
   "source": [
    "### Finding support values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "6f67324e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Support</th>\n",
       "      <th>length</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>index</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Patriot)</th>\n",
       "      <td>0.6</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Sixth Sense)</th>\n",
       "      <td>0.5</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Sixth Sense, Patriot)</th>\n",
       "      <td>0.4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Sixth Sense, Green Mile)</th>\n",
       "      <td>0.2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR1, LOTR2)</th>\n",
       "      <td>0.2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                           Support  length\n",
       "index                                     \n",
       "(Gladiator, Patriot)           0.6       2\n",
       "(Gladiator, Sixth Sense)       0.5       2\n",
       "(Sixth Sense, Patriot)         0.4       2\n",
       "(Sixth Sense, Green Mile)      0.2       2\n",
       "(LOTR1, LOTR2)                 0.2       2"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "value = []\n",
    "for i in range(0, len(second)):\n",
    "    temp = movie_data.T.loc[second[i]].sum() \n",
    "    temp = len(temp[temp == movie_data.T.loc[second[i]].shape[0]]) / movie_data.shape[0]\n",
    "    value.append(temp)\n",
    "\n",
    "# Create a data frame            \n",
    "secondIteration = pd.DataFrame(value, columns = [\"Support\"])\n",
    "secondIteration[\"index\"] = [tuple(i) for i in second]\n",
    "secondIteration['length'] = secondIteration['index'].apply(lambda x:len(x))\n",
    "secondIteration = secondIteration.set_index(\"index\").sort_values(\"Support\", ascending = False)\n",
    "\n",
    "# Elimination by Support Value\n",
    "secondIteration = secondIteration[secondIteration.Support > 0.1]\n",
    "secondIteration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "710356dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['Gladiator', 'Sixth Sense', 'Patriot'],\n",
       " ['Gladiator', 'Sixth Sense', 'LOTR1'],\n",
       " ['Gladiator', 'Sixth Sense', 'Harry Potter1'],\n",
       " ['Gladiator', 'Sixth Sense', 'LOTR2'],\n",
       " ['Gladiator', 'Sixth Sense', 'Green Mile'],\n",
       " ['Gladiator', 'Sixth Sense', 'Harry Potter2'],\n",
       " ['Gladiator', 'Sixth Sense', 'LOTR'],\n",
       " ['Gladiator', 'Sixth Sense', 'Braveheart'],\n",
       " ['Gladiator', 'Patriot', 'LOTR1'],\n",
       " ['Gladiator', 'Patriot', 'Harry Potter1']]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "second = list(itertools.combinations(first.index, 3))\n",
    "second = [list(i) for i in second]\n",
    "\n",
    "second[:10] # Sample of combinations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b4c14c22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Support</th>\n",
       "      <th>length</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>index</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Sixth Sense, Patriot)</th>\n",
       "      <td>0.4</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                   Support  length\n",
       "index                                             \n",
       "(Gladiator, Sixth Sense, Patriot)      0.4       3"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "value = []\n",
    "for i in range(0, len(second)):\n",
    "    temp = movie_data.T.loc[second[i]].sum() \n",
    "    temp = len(temp[temp == movie_data.T.loc[second[i]].shape[0]]) / movie_data.shape[0]\n",
    "    value.append(temp)\n",
    "\n",
    "# Create a data frame            \n",
    "secondIteration = pd.DataFrame(value, columns = [\"Support\"])\n",
    "secondIteration[\"index\"] = [tuple(i) for i in second]\n",
    "secondIteration['length'] = secondIteration['index'].apply(lambda x:len(x))\n",
    "secondIteration = secondIteration.set_index(\"index\").sort_values(\"Support\", ascending = False)\n",
    "# Elimination by Support Value\n",
    "secondIteration = secondIteration[secondIteration.Support > 0.1]\n",
    "secondIteration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "31f130a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['Gladiator', 'Sixth Sense', 'Patriot', 'LOTR1'],\n",
       " ['Gladiator', 'Sixth Sense', 'Patriot', 'Harry Potter1'],\n",
       " ['Gladiator', 'Sixth Sense', 'Patriot', 'LOTR2'],\n",
       " ['Gladiator', 'Sixth Sense', 'Patriot', 'Green Mile'],\n",
       " ['Gladiator', 'Sixth Sense', 'Patriot', 'Harry Potter2'],\n",
       " ['Gladiator', 'Sixth Sense', 'Patriot', 'LOTR'],\n",
       " ['Gladiator', 'Sixth Sense', 'Patriot', 'Braveheart'],\n",
       " ['Gladiator', 'Sixth Sense', 'LOTR1', 'Harry Potter1'],\n",
       " ['Gladiator', 'Sixth Sense', 'LOTR1', 'LOTR2'],\n",
       " ['Gladiator', 'Sixth Sense', 'LOTR1', 'Green Mile']]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "second = list(itertools.combinations(first.index, 4))\n",
    "second = [list(i) for i in second]\n",
    "\n",
    "second[:10] # Sample of combinations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "1746b01a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Support</th>\n",
       "      <th>length</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>index</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [Support, length]\n",
       "Index: []"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "value = []\n",
    "for i in range(0, len(second)):\n",
    "    temp = movie_data.T.loc[second[i]].sum() \n",
    "    temp = len(temp[temp == movie_data.T.loc[second[i]].shape[0]]) / movie_data.shape[0]\n",
    "    value.append(temp)\n",
    "    \n",
    "# Create a data frame            \n",
    "secondIteration = pd.DataFrame(value, columns = [\"Support\"])\n",
    "secondIteration[\"index\"] = [tuple(i) for i in second]\n",
    "secondIteration['length'] = secondIteration['index'].apply(lambda x:len(x))\n",
    "secondIteration = secondIteration.set_index(\"index\").sort_values(\"Support\", ascending = False)\n",
    "# Elimination by Support Value\n",
    "secondIteration = secondIteration[secondIteration.Support > 0.1]\n",
    "secondIteration"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21fe979a",
   "metadata": {},
   "source": [
    "## 6. Association Rules\n",
    "There are two main functions here.\n",
    "\n",
    "* apriori() function evaluate support value for each product.\n",
    "* association_rules() function help us to understand relationship between antecedents and consequences products. It gives some remarkable information about products."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5753cba",
   "metadata": {},
   "source": [
    "### 6.1 Association rules with 10% Support and 30% confidence\n",
    "### With 10% Support"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8bf5c66a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>support</th>\n",
       "      <th>itemsets</th>\n",
       "      <th>length</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.6</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.7</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(Harry Potter1)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.6</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Harry Potter2)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Braveheart)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.5</td>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Sixth Sense, LOTR1)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Harry Potter1, Sixth Sense)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.4</td>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR2, Sixth Sense)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR, Sixth Sense)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(Green Mile, Sixth Sense)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.6</td>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR, Gladiator)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Braveheart, Gladiator)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Gladiator, Green Mile)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Harry Potter1, LOTR1)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(LOTR2, LOTR1)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, LOTR1)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR2, Harry Potter1)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Harry Potter2, Harry Potter1)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, Harry Potter1)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Braveheart, Patriot)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, LOTR2)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR, Green Mile)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>0.4</td>\n",
       "      <td>(Gladiator, Sixth Sense, Patriot)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR, Gladiator, Sixth Sense)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Gladiator, Green Mile, Sixth Sense)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Harry Potter1, Sixth Sense, LOTR1)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR2, Sixth Sense, LOTR1)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, Sixth Sense, LOTR1)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR2, Harry Potter1, Sixth Sense)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, Harry Potter1, Sixth Sense)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, LOTR2, Sixth Sense)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR, Green Mile, Sixth Sense)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Braveheart, Gladiator, Patriot)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR, Gladiator, Green Mile)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR2, Harry Potter1, LOTR1)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, Harry Potter1, LOTR1)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, LOTR2, LOTR1)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, LOTR2, Harry Potter1)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR, Gladiator, Green Mile, Sixth Sense)</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR2, Harry Potter1, Sixth Sense, LOTR1)</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, Harry Potter1, Sixth Sense, LOTR1)</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, LOTR2, Sixth Sense, LOTR1)</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, LOTR2, Harry Potter1, Sixth Sense)</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(Green Mile, LOTR2, Harry Potter1, LOTR1)</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>0.1</td>\n",
       "      <td>(LOTR2, Sixth Sense, Green Mile, Harry Potter1...</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    support                                           itemsets  length\n",
       "0       0.6                                      (Sixth Sense)       1\n",
       "1       0.7                                        (Gladiator)       1\n",
       "2       0.2                                            (LOTR1)       1\n",
       "3       0.2                                    (Harry Potter1)       1\n",
       "4       0.6                                          (Patriot)       1\n",
       "5       0.2                                            (LOTR2)       1\n",
       "6       0.1                                    (Harry Potter2)       1\n",
       "7       0.1                                             (LOTR)       1\n",
       "8       0.1                                       (Braveheart)       1\n",
       "9       0.2                                       (Green Mile)       1\n",
       "10      0.5                           (Gladiator, Sixth Sense)       2\n",
       "11      0.1                               (Sixth Sense, LOTR1)       2\n",
       "12      0.1                       (Harry Potter1, Sixth Sense)       2\n",
       "13      0.4                             (Sixth Sense, Patriot)       2\n",
       "14      0.1                               (LOTR2, Sixth Sense)       2\n",
       "15      0.1                                (LOTR, Sixth Sense)       2\n",
       "16      0.2                          (Green Mile, Sixth Sense)       2\n",
       "17      0.6                               (Gladiator, Patriot)       2\n",
       "18      0.1                                  (LOTR, Gladiator)       2\n",
       "19      0.1                            (Braveheart, Gladiator)       2\n",
       "20      0.1                            (Gladiator, Green Mile)       2\n",
       "21      0.1                             (Harry Potter1, LOTR1)       2\n",
       "22      0.2                                     (LOTR2, LOTR1)       2\n",
       "23      0.1                                (Green Mile, LOTR1)       2\n",
       "24      0.1                             (LOTR2, Harry Potter1)       2\n",
       "25      0.1                     (Harry Potter2, Harry Potter1)       2\n",
       "26      0.1                        (Green Mile, Harry Potter1)       2\n",
       "27      0.1                              (Braveheart, Patriot)       2\n",
       "28      0.1                                (Green Mile, LOTR2)       2\n",
       "29      0.1                                 (LOTR, Green Mile)       2\n",
       "30      0.4                  (Gladiator, Sixth Sense, Patriot)       3\n",
       "31      0.1                     (LOTR, Gladiator, Sixth Sense)       3\n",
       "32      0.1               (Gladiator, Green Mile, Sixth Sense)       3\n",
       "33      0.1                (Harry Potter1, Sixth Sense, LOTR1)       3\n",
       "34      0.1                        (LOTR2, Sixth Sense, LOTR1)       3\n",
       "35      0.1                   (Green Mile, Sixth Sense, LOTR1)       3\n",
       "36      0.1                (LOTR2, Harry Potter1, Sixth Sense)       3\n",
       "37      0.1           (Green Mile, Harry Potter1, Sixth Sense)       3\n",
       "38      0.1                   (Green Mile, LOTR2, Sixth Sense)       3\n",
       "39      0.1                    (LOTR, Green Mile, Sixth Sense)       3\n",
       "40      0.1                   (Braveheart, Gladiator, Patriot)       3\n",
       "41      0.1                      (LOTR, Gladiator, Green Mile)       3\n",
       "42      0.1                      (LOTR2, Harry Potter1, LOTR1)       3\n",
       "43      0.1                 (Green Mile, Harry Potter1, LOTR1)       3\n",
       "44      0.1                         (Green Mile, LOTR2, LOTR1)       3\n",
       "45      0.1                 (Green Mile, LOTR2, Harry Potter1)       3\n",
       "46      0.1         (LOTR, Gladiator, Green Mile, Sixth Sense)       4\n",
       "47      0.1         (LOTR2, Harry Potter1, Sixth Sense, LOTR1)       4\n",
       "48      0.1    (Green Mile, Harry Potter1, Sixth Sense, LOTR1)       4\n",
       "49      0.1            (Green Mile, LOTR2, Sixth Sense, LOTR1)       4\n",
       "50      0.1    (Green Mile, LOTR2, Harry Potter1, Sixth Sense)       4\n",
       "51      0.1          (Green Mile, LOTR2, Harry Potter1, LOTR1)       4\n",
       "52      0.1  (LOTR2, Sixth Sense, Green Mile, Harry Potter1...       5"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequent_itemsets1 = apriori(movie_data,min_support=0.1,use_colnames=True)\n",
    "frequent_itemsets1['length'] = frequent_itemsets1['itemsets'].apply(lambda x: len(x))\n",
    "frequent_itemsets1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "148510f8",
   "metadata": {},
   "source": [
    "### Support value gives us these information:\n",
    "**Head 5**\n",
    "* 60 percent of 100 purchases are Sixth Sense\n",
    "* 70 percent of 100 purchases are Gladiator\n",
    "* 20 percent of 100 purchases are LOTR1\n",
    "* 20 percent of 100 purchases are Harry Potter\n",
    "* 60 percent of 100 purchases are Patriot\n",
    "\n",
    "**Tail 5**\n",
    "* 10 percent of 100 purchases are Green Mile, LOTR1, Harry Potter1, Sixth Sense\n",
    "* 10 percent of 100 purchases are Green Mile, LOTR2, LOTR1, Sixth Sense\n",
    "* 10 percent of 100 purchases are Green Mile, LOTR2, Harry Potter1, Sixth Sense\n",
    "* 10 percent of 100 purchases are Green Mile, LOTR2, LOTR1, Harry Potter1\n",
    "* 10 percent of 100 purchases are Sixth Sense, LOTR2, Harry Potter1, Green Mile, LOTR1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3eac9d08",
   "metadata": {},
   "source": [
    "### With 30% Confidence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "37ec114d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
       "      <th>leverage</th>\n",
       "      <th>conviction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>0.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(Harry Potter1)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>0.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</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>212</th>\n",
       "      <td>(Harry Potter1, LOTR1)</td>\n",
       "      <td>(LOTR2, Green Mile, Sixth Sense)</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.09</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>213</th>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>(Green Mile, Harry Potter1, Sixth Sense, LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>214</th>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>(LOTR2, Harry Potter1, Sixth Sense, LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>215</th>\n",
       "      <td>(Harry Potter1)</td>\n",
       "      <td>(LOTR2, Green Mile, Sixth Sense, LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>216</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(LOTR2, Green Mile, Harry Potter1, Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>217 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                antecedents                                      consequents  \\\n",
       "0               (Gladiator)                                    (Sixth Sense)   \n",
       "1             (Sixth Sense)                                      (Gladiator)   \n",
       "2                   (LOTR1)                                    (Sixth Sense)   \n",
       "3           (Harry Potter1)                                    (Sixth Sense)   \n",
       "4             (Sixth Sense)                                        (Patriot)   \n",
       "..                      ...                                              ...   \n",
       "212  (Harry Potter1, LOTR1)                 (LOTR2, Green Mile, Sixth Sense)   \n",
       "213                 (LOTR2)  (Green Mile, Harry Potter1, Sixth Sense, LOTR1)   \n",
       "214            (Green Mile)       (LOTR2, Harry Potter1, Sixth Sense, LOTR1)   \n",
       "215         (Harry Potter1)          (LOTR2, Green Mile, Sixth Sense, LOTR1)   \n",
       "216                 (LOTR1)  (LOTR2, Green Mile, Harry Potter1, Sixth Sense)   \n",
       "\n",
       "     antecedent support  consequent support  support  confidence       lift  \\\n",
       "0                   0.7                 0.6      0.5    0.714286   1.190476   \n",
       "1                   0.6                 0.7      0.5    0.833333   1.190476   \n",
       "2                   0.2                 0.6      0.1    0.500000   0.833333   \n",
       "3                   0.2                 0.6      0.1    0.500000   0.833333   \n",
       "4                   0.6                 0.6      0.4    0.666667   1.111111   \n",
       "..                  ...                 ...      ...         ...        ...   \n",
       "212                 0.1                 0.1      0.1    1.000000  10.000000   \n",
       "213                 0.2                 0.1      0.1    0.500000   5.000000   \n",
       "214                 0.2                 0.1      0.1    0.500000   5.000000   \n",
       "215                 0.2                 0.1      0.1    0.500000   5.000000   \n",
       "216                 0.2                 0.1      0.1    0.500000   5.000000   \n",
       "\n",
       "     leverage  conviction  \n",
       "0        0.08         1.4  \n",
       "1        0.08         1.8  \n",
       "2       -0.02         0.8  \n",
       "3       -0.02         0.8  \n",
       "4        0.04         1.2  \n",
       "..        ...         ...  \n",
       "212      0.09         inf  \n",
       "213      0.08         1.8  \n",
       "214      0.08         1.8  \n",
       "215      0.08         1.8  \n",
       "216      0.08         1.8  \n",
       "\n",
       "[217 rows x 9 columns]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rules1 = association_rules(frequent_itemsets1, metric='confidence', min_threshold=0.3)\n",
    "rules1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc14829f",
   "metadata": {},
   "source": [
    "* Antecedent support variable tells us probability of antecedent products alone\n",
    "* Consequents support variable tells us probability of consequents products alone\n",
    "* The support value is the value of the two products (Antecedents and Consequents)\n",
    "* Confidence is an indication of how often the rule has been found to be true.\n",
    "* The ratio of the observed support to that expected if X and Y were independent.\n",
    "* A leverage value of 0 indicates independence. Range will be [-1 1]\n",
    "* A high conviction value means that the consequent is highly depending on the antecedent and range [0 inf]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "a0e7d772",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
       "      <th>leverage</th>\n",
       "      <th>conviction</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>183</th>\n",
       "      <td>(Harry Potter1, LOTR1)</td>\n",
       "      <td>(Green Mile, LOTR2)</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.09</td>\n",
       "      <td>inf</td>\n",
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       "    <tr>\n",
       "      <th>180</th>\n",
       "      <td>(Green Mile, LOTR1)</td>\n",
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       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.09</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>117</th>\n",
       "      <td>(LOTR, Sixth Sense)</td>\n",
       "      <td>(Gladiator, Green Mile)</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.09</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118</th>\n",
       "      <td>(Gladiator, Green Mile)</td>\n",
       "      <td>(LOTR, Sixth Sense)</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.09</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>157</th>\n",
       "      <td>(Sixth Sense, LOTR1)</td>\n",
       "      <td>(Green Mile, LOTR2)</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.09</td>\n",
       "      <td>inf</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>6</th>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>0.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(Harry Potter1)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>0.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>0.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>(Green Mile, Sixth Sense)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>217 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                   antecedents              consequents  antecedent support  \\\n",
       "183     (Harry Potter1, LOTR1)      (Green Mile, LOTR2)                 0.1   \n",
       "180        (Green Mile, LOTR1)   (LOTR2, Harry Potter1)                 0.1   \n",
       "117        (LOTR, Sixth Sense)  (Gladiator, Green Mile)                 0.1   \n",
       "118    (Gladiator, Green Mile)      (LOTR, Sixth Sense)                 0.1   \n",
       "157       (Sixth Sense, LOTR1)      (Green Mile, LOTR2)                 0.1   \n",
       "..                         ...                      ...                 ...   \n",
       "6                      (LOTR2)            (Sixth Sense)                 0.2   \n",
       "3              (Harry Potter1)            (Sixth Sense)                 0.2   \n",
       "2                      (LOTR1)            (Sixth Sense)                 0.2   \n",
       "14                (Green Mile)              (Gladiator)                 0.2   \n",
       "42   (Green Mile, Sixth Sense)              (Gladiator)                 0.2   \n",
       "\n",
       "     consequent support  support  confidence       lift  leverage  conviction  \n",
       "183                 0.1      0.1         1.0  10.000000      0.09         inf  \n",
       "180                 0.1      0.1         1.0  10.000000      0.09         inf  \n",
       "117                 0.1      0.1         1.0  10.000000      0.09         inf  \n",
       "118                 0.1      0.1         1.0  10.000000      0.09         inf  \n",
       "157                 0.1      0.1         1.0  10.000000      0.09         inf  \n",
       "..                  ...      ...         ...        ...       ...         ...  \n",
       "6                   0.6      0.1         0.5   0.833333     -0.02         0.8  \n",
       "3                   0.6      0.1         0.5   0.833333     -0.02         0.8  \n",
       "2                   0.6      0.1         0.5   0.833333     -0.02         0.8  \n",
       "14                  0.7      0.1         0.5   0.714286     -0.04         0.6  \n",
       "42                  0.7      0.1         0.5   0.714286     -0.04         0.6  \n",
       "\n",
       "[217 rows x 9 columns]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rules1.sort_values('lift', ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a2845244",
   "metadata": {},
   "source": [
    "### Lift Ratio > 1 is a good influential rule in selecting the associated transactions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "598d92c6",
   "metadata": {},
   "outputs": [
    {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>antecedents</th>\n",
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       "      <td>0.714286</td>\n",
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       "      <th>1</th>\n",
       "      <td>(Sixth Sense)</td>\n",
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       "      <td>1.8</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>(LOTR)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.666667</td>\n",
       "      <td>0.04</td>\n",
       "      <td>inf</td>\n",
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       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>212</th>\n",
       "      <td>(Harry Potter1, LOTR1)</td>\n",
       "      <td>(LOTR2, Green Mile, Sixth Sense)</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.09</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>213</th>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>(Green Mile, Harry Potter1, Sixth Sense, LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>214</th>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>(LOTR2, Harry Potter1, Sixth Sense, LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>215</th>\n",
       "      <td>(Harry Potter1)</td>\n",
       "      <td>(LOTR2, Green Mile, Sixth Sense, LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>216</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(LOTR2, Green Mile, Harry Potter1, Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>210 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                antecedents                                      consequents  \\\n",
       "0               (Gladiator)                                    (Sixth Sense)   \n",
       "1             (Sixth Sense)                                      (Gladiator)   \n",
       "4             (Sixth Sense)                                        (Patriot)   \n",
       "5                 (Patriot)                                    (Sixth Sense)   \n",
       "7                    (LOTR)                                    (Sixth Sense)   \n",
       "..                      ...                                              ...   \n",
       "212  (Harry Potter1, LOTR1)                 (LOTR2, Green Mile, Sixth Sense)   \n",
       "213                 (LOTR2)  (Green Mile, Harry Potter1, Sixth Sense, LOTR1)   \n",
       "214            (Green Mile)       (LOTR2, Harry Potter1, Sixth Sense, LOTR1)   \n",
       "215         (Harry Potter1)          (LOTR2, Green Mile, Sixth Sense, LOTR1)   \n",
       "216                 (LOTR1)  (LOTR2, Green Mile, Harry Potter1, Sixth Sense)   \n",
       "\n",
       "     antecedent support  consequent support  support  confidence       lift  \\\n",
       "0                   0.7                 0.6      0.5    0.714286   1.190476   \n",
       "1                   0.6                 0.7      0.5    0.833333   1.190476   \n",
       "4                   0.6                 0.6      0.4    0.666667   1.111111   \n",
       "5                   0.6                 0.6      0.4    0.666667   1.111111   \n",
       "7                   0.1                 0.6      0.1    1.000000   1.666667   \n",
       "..                  ...                 ...      ...         ...        ...   \n",
       "212                 0.1                 0.1      0.1    1.000000  10.000000   \n",
       "213                 0.2                 0.1      0.1    0.500000   5.000000   \n",
       "214                 0.2                 0.1      0.1    0.500000   5.000000   \n",
       "215                 0.2                 0.1      0.1    0.500000   5.000000   \n",
       "216                 0.2                 0.1      0.1    0.500000   5.000000   \n",
       "\n",
       "     leverage  conviction  \n",
       "0        0.08         1.4  \n",
       "1        0.08         1.8  \n",
       "4        0.04         1.2  \n",
       "5        0.04         1.2  \n",
       "7        0.04         inf  \n",
       "..        ...         ...  \n",
       "212      0.09         inf  \n",
       "213      0.08         1.8  \n",
       "214      0.08         1.8  \n",
       "215      0.08         1.8  \n",
       "216      0.08         1.8  \n",
       "\n",
       "[210 rows x 9 columns]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lift1 = rules1[rules1.lift>1]\n",
    "lift1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "258942e9",
   "metadata": {},
   "source": [
    "### Visualization of obtained rule"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2f07238d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6))\n",
    "plt.scatter(rules1['support'],rules1['confidence'])\n",
    "plt.xlabel('Support')\n",
    "plt.ylabel('Confidence') \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "0d9cada2",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>consequents</th>\n",
       "      <th>(Sixth Sense)</th>\n",
       "      <th>(Green Mile, LOTR1)</th>\n",
       "      <th>(Green Mile, Harry Potter1)</th>\n",
       "      <th>(Green Mile, LOTR2)</th>\n",
       "      <th>(LOTR1)</th>\n",
       "      <th>(Gladiator, Green Mile, Sixth Sense)</th>\n",
       "      <th>(LOTR, Gladiator, Sixth Sense)</th>\n",
       "      <th>(Harry Potter1, Sixth Sense, LOTR1)</th>\n",
       "      <th>(LOTR2, Harry Potter1, Sixth Sense)</th>\n",
       "      <th>(Green Mile, Sixth Sense, LOTR1)</th>\n",
       "      <th>...</th>\n",
       "      <th>(Gladiator, Patriot)</th>\n",
       "      <th>(Gladiator, Sixth Sense)</th>\n",
       "      <th>(Sixth Sense, LOTR1)</th>\n",
       "      <th>(Harry Potter1, Sixth Sense)</th>\n",
       "      <th>(LOTR2, Sixth Sense)</th>\n",
       "      <th>(Green Mile, Sixth Sense)</th>\n",
       "      <th>(LOTR, Sixth Sense)</th>\n",
       "      <th>(LOTR2, Green Mile, Sixth Sense, LOTR1)</th>\n",
       "      <th>(LOTR, Gladiator)</th>\n",
       "      <th>(LOTR2, Green Mile, Harry Potter1, Sixth Sense)</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>antecedents</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>(Gladiator)</th>\n",
       "      <td>1.190476</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR, Green Mile)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Braveheart, Gladiator)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Braveheart, Patriot)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR, Gladiator, Green Mile)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Harry Potter1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR, Gladiator, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR, Green Mile, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Green Mile, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, Harry Potter1)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, Harry Potter1, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, Sixth Sense, LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Harry Potter1, Sixth Sense, LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, Sixth Sense, LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, LOTR2, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, LOTR2, LOTR1)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, Green Mile, Sixth Sense, LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, Harry Potter1, Sixth Sense, LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, LOTR2)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, Harry Potter1, LOTR1)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, Harry Potter1)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, Green Mile, Harry Potter1, LOTR1)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Patriot)</th>\n",
       "      <td>1.111111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, LOTR2, Harry Potter1)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, Green Mile, Harry Potter1, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Braveheart)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, Harry Potter1, LOTR1)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, Harry Potter1, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, LOTR1)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Harry Potter2)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Patriot)</th>\n",
       "      <td>1.111111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Sixth Sense, Patriot)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR, Gladiator)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Green Mile)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Harry Potter1, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Harry Potter1, LOTR1)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Sixth Sense, LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile, Harry Potter1, Sixth Sense, LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>48 rows × 41 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "consequents                                      (Sixth Sense)  \\\n",
       "antecedents                                                      \n",
       "(Gladiator)                                           1.190476   \n",
       "(LOTR, Green Mile)                                    1.666667   \n",
       "(Braveheart, Gladiator)                                    NaN   \n",
       "(Braveheart, Patriot)                                      NaN   \n",
       "(LOTR2, LOTR1)                                             NaN   \n",
       "(LOTR, Gladiator, Green Mile)                         1.666667   \n",
       "(Harry Potter1)                                            NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                             NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                            NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                       NaN   \n",
       "(LOTR2, Harry Potter1)                                1.666667   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                        NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                        NaN   \n",
       "(Green Mile)                                          1.666667   \n",
       "(Green Mile, Sixth Sense, LOTR1)                           NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                           NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                            1.666667   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                    NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                 NaN   \n",
       "(Green Mile, LOTR2)                                   1.666667   \n",
       "(LOTR2, Harry Potter1, LOTR1)                         1.666667   \n",
       "(Green Mile, Harry Potter1)                           1.666667   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)             1.666667   \n",
       "(Sixth Sense)                                              NaN   \n",
       "(Patriot)                                             1.111111   \n",
       "(Green Mile, LOTR2, Harry Potter1)                    1.666667   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)            NaN   \n",
       "(LOTR)                                                1.666667   \n",
       "(Braveheart)                                               NaN   \n",
       "(LOTR1)                                                    NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                    1.666667   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                   NaN   \n",
       "(LOTR2)                                                    NaN   \n",
       "(Green Mile, LOTR1)                                   1.666667   \n",
       "(Harry Potter2)                                            NaN   \n",
       "(Gladiator, Patriot)                                  1.111111   \n",
       "(Sixth Sense, Patriot)                                     NaN   \n",
       "(LOTR, Gladiator)                                     1.666667   \n",
       "(LOTR, Sixth Sense)                                        NaN   \n",
       "(Gladiator, Green Mile)                               1.666667   \n",
       "(Harry Potter1, Sixth Sense)                               NaN   \n",
       "(Harry Potter1, LOTR1)                                1.666667   \n",
       "(Sixth Sense, LOTR1)                                       NaN   \n",
       "(LOTR2, Sixth Sense)                                       NaN   \n",
       "(Green Mile, Sixth Sense)                                  NaN   \n",
       "(Gladiator, Sixth Sense)                                   NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)            NaN   \n",
       "\n",
       "consequents                                      (Green Mile, LOTR1)  \\\n",
       "antecedents                                                            \n",
       "(Gladiator)                                                      NaN   \n",
       "(LOTR, Green Mile)                                               NaN   \n",
       "(Braveheart, Gladiator)                                          NaN   \n",
       "(Braveheart, Patriot)                                            NaN   \n",
       "(LOTR2, LOTR1)                                                   NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                    NaN   \n",
       "(Harry Potter1)                                                  5.0   \n",
       "(LOTR, Gladiator, Sixth Sense)                                   NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                  NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                             NaN   \n",
       "(LOTR2, Harry Potter1)                                          10.0   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                             10.0   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                      NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                              NaN   \n",
       "(Green Mile)                                                     NaN   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                 NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                 NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                       NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                          NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                       NaN   \n",
       "(Green Mile, LOTR2)                                              NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                    NaN   \n",
       "(Green Mile, Harry Potter1)                                      NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                        NaN   \n",
       "(Sixth Sense)                                                    NaN   \n",
       "(Patriot)                                                        NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                               NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                  NaN   \n",
       "(LOTR)                                                           NaN   \n",
       "(Braveheart)                                                     NaN   \n",
       "(LOTR1)                                                          NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                               NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                         NaN   \n",
       "(LOTR2)                                                          5.0   \n",
       "(Green Mile, LOTR1)                                              NaN   \n",
       "(Harry Potter2)                                                  NaN   \n",
       "(Gladiator, Patriot)                                             NaN   \n",
       "(Sixth Sense, Patriot)                                           NaN   \n",
       "(LOTR, Gladiator)                                                NaN   \n",
       "(LOTR, Sixth Sense)                                              NaN   \n",
       "(Gladiator, Green Mile)                                          NaN   \n",
       "(Harry Potter1, Sixth Sense)                                    10.0   \n",
       "(Harry Potter1, LOTR1)                                           NaN   \n",
       "(Sixth Sense, LOTR1)                                             NaN   \n",
       "(LOTR2, Sixth Sense)                                            10.0   \n",
       "(Green Mile, Sixth Sense)                                        NaN   \n",
       "(Gladiator, Sixth Sense)                                         NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                  NaN   \n",
       "\n",
       "consequents                                      (Green Mile, Harry Potter1)  \\\n",
       "antecedents                                                                    \n",
       "(Gladiator)                                                              NaN   \n",
       "(LOTR, Green Mile)                                                       NaN   \n",
       "(Braveheart, Gladiator)                                                  NaN   \n",
       "(Braveheart, Patriot)                                                    NaN   \n",
       "(LOTR2, LOTR1)                                                           5.0   \n",
       "(LOTR, Gladiator, Green Mile)                                            NaN   \n",
       "(Harry Potter1)                                                          NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                                           NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                          NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                     NaN   \n",
       "(LOTR2, Harry Potter1)                                                   NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                      NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                             10.0   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                      NaN   \n",
       "(Green Mile)                                                             NaN   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                         NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                         NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                               NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                  NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                               NaN   \n",
       "(Green Mile, LOTR2)                                                      NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                            NaN   \n",
       "(Green Mile, Harry Potter1)                                              NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                                NaN   \n",
       "(Sixth Sense)                                                            NaN   \n",
       "(Patriot)                                                                NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                       NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                          NaN   \n",
       "(LOTR)                                                                   NaN   \n",
       "(Braveheart)                                                             NaN   \n",
       "(LOTR1)                                                                  5.0   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                       NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                                 NaN   \n",
       "(LOTR2)                                                                  5.0   \n",
       "(Green Mile, LOTR1)                                                      NaN   \n",
       "(Harry Potter2)                                                          NaN   \n",
       "(Gladiator, Patriot)                                                     NaN   \n",
       "(Sixth Sense, Patriot)                                                   NaN   \n",
       "(LOTR, Gladiator)                                                        NaN   \n",
       "(LOTR, Sixth Sense)                                                      NaN   \n",
       "(Gladiator, Green Mile)                                                  NaN   \n",
       "(Harry Potter1, Sixth Sense)                                             NaN   \n",
       "(Harry Potter1, LOTR1)                                                   NaN   \n",
       "(Sixth Sense, LOTR1)                                                    10.0   \n",
       "(LOTR2, Sixth Sense)                                                    10.0   \n",
       "(Green Mile, Sixth Sense)                                                NaN   \n",
       "(Gladiator, Sixth Sense)                                                 NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                          NaN   \n",
       "\n",
       "consequents                                      (Green Mile, LOTR2)  (LOTR1)  \\\n",
       "antecedents                                                                     \n",
       "(Gladiator)                                                      NaN      NaN   \n",
       "(LOTR, Green Mile)                                               NaN      NaN   \n",
       "(Braveheart, Gladiator)                                          NaN      NaN   \n",
       "(Braveheart, Patriot)                                            NaN      NaN   \n",
       "(LOTR2, LOTR1)                                                   NaN      NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                    NaN      NaN   \n",
       "(Harry Potter1)                                                  5.0      2.5   \n",
       "(LOTR, Gladiator, Sixth Sense)                                   NaN      NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                  NaN      NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                             NaN      NaN   \n",
       "(LOTR2, Harry Potter1)                                           NaN      5.0   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                              NaN      5.0   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                      NaN      NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                             10.0      NaN   \n",
       "(Green Mile)                                                     NaN      2.5   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                 NaN      NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                 NaN      5.0   \n",
       "(Green Mile, LOTR2, LOTR1)                                       NaN      NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                          NaN      NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                       NaN      NaN   \n",
       "(Green Mile, LOTR2)                                              NaN      5.0   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                    NaN      NaN   \n",
       "(Green Mile, Harry Potter1)                                      NaN      5.0   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                        NaN      NaN   \n",
       "(Sixth Sense)                                                    NaN      NaN   \n",
       "(Patriot)                                                        NaN      NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                               NaN      5.0   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                  NaN      5.0   \n",
       "(LOTR)                                                           NaN      NaN   \n",
       "(Braveheart)                                                     NaN      NaN   \n",
       "(LOTR1)                                                          5.0      NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                               NaN      NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                         NaN      5.0   \n",
       "(LOTR2)                                                          NaN      5.0   \n",
       "(Green Mile, LOTR1)                                              NaN      NaN   \n",
       "(Harry Potter2)                                                  NaN      NaN   \n",
       "(Gladiator, Patriot)                                             NaN      NaN   \n",
       "(Sixth Sense, Patriot)                                           NaN      NaN   \n",
       "(LOTR, Gladiator)                                                NaN      NaN   \n",
       "(LOTR, Sixth Sense)                                              NaN      NaN   \n",
       "(Gladiator, Green Mile)                                          NaN      NaN   \n",
       "(Harry Potter1, Sixth Sense)                                    10.0      5.0   \n",
       "(Harry Potter1, LOTR1)                                          10.0      NaN   \n",
       "(Sixth Sense, LOTR1)                                            10.0      NaN   \n",
       "(LOTR2, Sixth Sense)                                             NaN      5.0   \n",
       "(Green Mile, Sixth Sense)                                        NaN      2.5   \n",
       "(Gladiator, Sixth Sense)                                         NaN      NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                  NaN      NaN   \n",
       "\n",
       "consequents                                      (Gladiator, Green Mile, Sixth Sense)  \\\n",
       "antecedents                                                                             \n",
       "(Gladiator)                                                                       NaN   \n",
       "(LOTR, Green Mile)                                                                NaN   \n",
       "(Braveheart, Gladiator)                                                           NaN   \n",
       "(Braveheart, Patriot)                                                             NaN   \n",
       "(LOTR2, LOTR1)                                                                    NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                                     NaN   \n",
       "(Harry Potter1)                                                                   NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                                                    NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                                   NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                              NaN   \n",
       "(LOTR2, Harry Potter1)                                                            NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                               NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                                       NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                               NaN   \n",
       "(Green Mile)                                                                      NaN   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                                  NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                                  NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                                        NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                           NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                                        NaN   \n",
       "(Green Mile, LOTR2)                                                               NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                                     NaN   \n",
       "(Green Mile, Harry Potter1)                                                       NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                                         NaN   \n",
       "(Sixth Sense)                                                                     NaN   \n",
       "(Patriot)                                                                         NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                                NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                                   NaN   \n",
       "(LOTR)                                                                           10.0   \n",
       "(Braveheart)                                                                      NaN   \n",
       "(LOTR1)                                                                           NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                                NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                                          NaN   \n",
       "(LOTR2)                                                                           NaN   \n",
       "(Green Mile, LOTR1)                                                               NaN   \n",
       "(Harry Potter2)                                                                   NaN   \n",
       "(Gladiator, Patriot)                                                              NaN   \n",
       "(Sixth Sense, Patriot)                                                            NaN   \n",
       "(LOTR, Gladiator)                                                                 NaN   \n",
       "(LOTR, Sixth Sense)                                                               NaN   \n",
       "(Gladiator, Green Mile)                                                           NaN   \n",
       "(Harry Potter1, Sixth Sense)                                                      NaN   \n",
       "(Harry Potter1, LOTR1)                                                            NaN   \n",
       "(Sixth Sense, LOTR1)                                                              NaN   \n",
       "(LOTR2, Sixth Sense)                                                              NaN   \n",
       "(Green Mile, Sixth Sense)                                                         NaN   \n",
       "(Gladiator, Sixth Sense)                                                          NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                                   NaN   \n",
       "\n",
       "consequents                                      (LOTR, Gladiator, Sixth Sense)  \\\n",
       "antecedents                                                                       \n",
       "(Gladiator)                                                                 NaN   \n",
       "(LOTR, Green Mile)                                                          NaN   \n",
       "(Braveheart, Gladiator)                                                     NaN   \n",
       "(Braveheart, Patriot)                                                       NaN   \n",
       "(LOTR2, LOTR1)                                                              NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                               NaN   \n",
       "(Harry Potter1)                                                             NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                                              NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                             NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                        NaN   \n",
       "(LOTR2, Harry Potter1)                                                      NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                         NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                                 NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                         NaN   \n",
       "(Green Mile)                                                                5.0   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                            NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                            NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                                  NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                     NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                                  NaN   \n",
       "(Green Mile, LOTR2)                                                         NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                               NaN   \n",
       "(Green Mile, Harry Potter1)                                                 NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                                   NaN   \n",
       "(Sixth Sense)                                                               NaN   \n",
       "(Patriot)                                                                   NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                          NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                             NaN   \n",
       "(LOTR)                                                                      NaN   \n",
       "(Braveheart)                                                                NaN   \n",
       "(LOTR1)                                                                     NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                          NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                                    NaN   \n",
       "(LOTR2)                                                                     NaN   \n",
       "(Green Mile, LOTR1)                                                         NaN   \n",
       "(Harry Potter2)                                                             NaN   \n",
       "(Gladiator, Patriot)                                                        NaN   \n",
       "(Sixth Sense, Patriot)                                                      NaN   \n",
       "(LOTR, Gladiator)                                                           NaN   \n",
       "(LOTR, Sixth Sense)                                                         NaN   \n",
       "(Gladiator, Green Mile)                                                     NaN   \n",
       "(Harry Potter1, Sixth Sense)                                                NaN   \n",
       "(Harry Potter1, LOTR1)                                                      NaN   \n",
       "(Sixth Sense, LOTR1)                                                        NaN   \n",
       "(LOTR2, Sixth Sense)                                                        NaN   \n",
       "(Green Mile, Sixth Sense)                                                   NaN   \n",
       "(Gladiator, Sixth Sense)                                                    NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                             NaN   \n",
       "\n",
       "consequents                                      (Harry Potter1, Sixth Sense, LOTR1)  \\\n",
       "antecedents                                                                            \n",
       "(Gladiator)                                                                      NaN   \n",
       "(LOTR, Green Mile)                                                               NaN   \n",
       "(Braveheart, Gladiator)                                                          NaN   \n",
       "(Braveheart, Patriot)                                                            NaN   \n",
       "(LOTR2, LOTR1)                                                                   NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                                    NaN   \n",
       "(Harry Potter1)                                                                  NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                                                   NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                                  NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                             NaN   \n",
       "(LOTR2, Harry Potter1)                                                           NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                              NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                                      NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                              NaN   \n",
       "(Green Mile)                                                                     5.0   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                                 NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                                 NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                                       NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                          NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                                       NaN   \n",
       "(Green Mile, LOTR2)                                                             10.0   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                                    NaN   \n",
       "(Green Mile, Harry Potter1)                                                      NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                                        NaN   \n",
       "(Sixth Sense)                                                                    NaN   \n",
       "(Patriot)                                                                        NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                               NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                                  NaN   \n",
       "(LOTR)                                                                           NaN   \n",
       "(Braveheart)                                                                     NaN   \n",
       "(LOTR1)                                                                          NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                               NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                                         NaN   \n",
       "(LOTR2)                                                                          5.0   \n",
       "(Green Mile, LOTR1)                                                              NaN   \n",
       "(Harry Potter2)                                                                  NaN   \n",
       "(Gladiator, Patriot)                                                             NaN   \n",
       "(Sixth Sense, Patriot)                                                           NaN   \n",
       "(LOTR, Gladiator)                                                                NaN   \n",
       "(LOTR, Sixth Sense)                                                              NaN   \n",
       "(Gladiator, Green Mile)                                                          NaN   \n",
       "(Harry Potter1, Sixth Sense)                                                     NaN   \n",
       "(Harry Potter1, LOTR1)                                                           NaN   \n",
       "(Sixth Sense, LOTR1)                                                             NaN   \n",
       "(LOTR2, Sixth Sense)                                                             NaN   \n",
       "(Green Mile, Sixth Sense)                                                        NaN   \n",
       "(Gladiator, Sixth Sense)                                                         NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                                  NaN   \n",
       "\n",
       "consequents                                      (LOTR2, Harry Potter1, Sixth Sense)  \\\n",
       "antecedents                                                                            \n",
       "(Gladiator)                                                                      NaN   \n",
       "(LOTR, Green Mile)                                                               NaN   \n",
       "(Braveheart, Gladiator)                                                          NaN   \n",
       "(Braveheart, Patriot)                                                            NaN   \n",
       "(LOTR2, LOTR1)                                                                   NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                                    NaN   \n",
       "(Harry Potter1)                                                                  NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                                                   NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                                  NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                             NaN   \n",
       "(LOTR2, Harry Potter1)                                                           NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                              NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                                      NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                              NaN   \n",
       "(Green Mile)                                                                     5.0   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                                 NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                                 NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                                       NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                          NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                                       NaN   \n",
       "(Green Mile, LOTR2)                                                              NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                                    NaN   \n",
       "(Green Mile, Harry Potter1)                                                      NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                                        NaN   \n",
       "(Sixth Sense)                                                                    NaN   \n",
       "(Patriot)                                                                        NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                               NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                                  NaN   \n",
       "(LOTR)                                                                           NaN   \n",
       "(Braveheart)                                                                     NaN   \n",
       "(LOTR1)                                                                          5.0   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                               NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                                         NaN   \n",
       "(LOTR2)                                                                          NaN   \n",
       "(Green Mile, LOTR1)                                                             10.0   \n",
       "(Harry Potter2)                                                                  NaN   \n",
       "(Gladiator, Patriot)                                                             NaN   \n",
       "(Sixth Sense, Patriot)                                                           NaN   \n",
       "(LOTR, Gladiator)                                                                NaN   \n",
       "(LOTR, Sixth Sense)                                                              NaN   \n",
       "(Gladiator, Green Mile)                                                          NaN   \n",
       "(Harry Potter1, Sixth Sense)                                                     NaN   \n",
       "(Harry Potter1, LOTR1)                                                           NaN   \n",
       "(Sixth Sense, LOTR1)                                                             NaN   \n",
       "(LOTR2, Sixth Sense)                                                             NaN   \n",
       "(Green Mile, Sixth Sense)                                                        NaN   \n",
       "(Gladiator, Sixth Sense)                                                         NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                                  NaN   \n",
       "\n",
       "consequents                                      (Green Mile, Sixth Sense, LOTR1)  \\\n",
       "antecedents                                                                         \n",
       "(Gladiator)                                                                   NaN   \n",
       "(LOTR, Green Mile)                                                            NaN   \n",
       "(Braveheart, Gladiator)                                                       NaN   \n",
       "(Braveheart, Patriot)                                                         NaN   \n",
       "(LOTR2, LOTR1)                                                                NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                                 NaN   \n",
       "(Harry Potter1)                                                               5.0   \n",
       "(LOTR, Gladiator, Sixth Sense)                                                NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                               NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                          NaN   \n",
       "(LOTR2, Harry Potter1)                                                       10.0   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                           NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                                   NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                           NaN   \n",
       "(Green Mile)                                                                  NaN   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                              NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                              NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                                    NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                       NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                                    NaN   \n",
       "(Green Mile, LOTR2)                                                           NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                                 NaN   \n",
       "(Green Mile, Harry Potter1)                                                   NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                                     NaN   \n",
       "(Sixth Sense)                                                                 NaN   \n",
       "(Patriot)                                                                     NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                            NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                               NaN   \n",
       "(LOTR)                                                                        NaN   \n",
       "(Braveheart)                                                                  NaN   \n",
       "(LOTR1)                                                                       NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                            NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                                      NaN   \n",
       "(LOTR2)                                                                       5.0   \n",
       "(Green Mile, LOTR1)                                                           NaN   \n",
       "(Harry Potter2)                                                               NaN   \n",
       "(Gladiator, Patriot)                                                          NaN   \n",
       "(Sixth Sense, Patriot)                                                        NaN   \n",
       "(LOTR, Gladiator)                                                             NaN   \n",
       "(LOTR, Sixth Sense)                                                           NaN   \n",
       "(Gladiator, Green Mile)                                                       NaN   \n",
       "(Harry Potter1, Sixth Sense)                                                  NaN   \n",
       "(Harry Potter1, LOTR1)                                                        NaN   \n",
       "(Sixth Sense, LOTR1)                                                          NaN   \n",
       "(LOTR2, Sixth Sense)                                                          NaN   \n",
       "(Green Mile, Sixth Sense)                                                     NaN   \n",
       "(Gladiator, Sixth Sense)                                                      NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                               NaN   \n",
       "\n",
       "consequents                                      ...  (Gladiator, Patriot)  \\\n",
       "antecedents                                      ...                         \n",
       "(Gladiator)                                      ...                   NaN   \n",
       "(LOTR, Green Mile)                               ...                   NaN   \n",
       "(Braveheart, Gladiator)                          ...                   NaN   \n",
       "(Braveheart, Patriot)                            ...                   NaN   \n",
       "(LOTR2, LOTR1)                                   ...                   NaN   \n",
       "(LOTR, Gladiator, Green Mile)                    ...                   NaN   \n",
       "(Harry Potter1)                                  ...                   NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                   ...                   NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                  ...                   NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)             ...                   NaN   \n",
       "(LOTR2, Harry Potter1)                           ...                   NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)              ...                   NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                      ...                   NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)              ...                   NaN   \n",
       "(Green Mile)                                     ...                   NaN   \n",
       "(Green Mile, Sixth Sense, LOTR1)                 ...                   NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                 ...                   NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                       ...                   NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)          ...                   NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)       ...                   NaN   \n",
       "(Green Mile, LOTR2)                              ...                   NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                    ...                   NaN   \n",
       "(Green Mile, Harry Potter1)                      ...                   NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)        ...                   NaN   \n",
       "(Sixth Sense)                                    ...              1.111111   \n",
       "(Patriot)                                        ...                   NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)               ...                   NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)  ...                   NaN   \n",
       "(LOTR)                                           ...                   NaN   \n",
       "(Braveheart)                                     ...              1.666667   \n",
       "(LOTR1)                                          ...                   NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)               ...                   NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)         ...                   NaN   \n",
       "(LOTR2)                                          ...                   NaN   \n",
       "(Green Mile, LOTR1)                              ...                   NaN   \n",
       "(Harry Potter2)                                  ...                   NaN   \n",
       "(Gladiator, Patriot)                             ...                   NaN   \n",
       "(Sixth Sense, Patriot)                           ...                   NaN   \n",
       "(LOTR, Gladiator)                                ...                   NaN   \n",
       "(LOTR, Sixth Sense)                              ...                   NaN   \n",
       "(Gladiator, Green Mile)                          ...                   NaN   \n",
       "(Harry Potter1, Sixth Sense)                     ...                   NaN   \n",
       "(Harry Potter1, LOTR1)                           ...                   NaN   \n",
       "(Sixth Sense, LOTR1)                             ...                   NaN   \n",
       "(LOTR2, Sixth Sense)                             ...                   NaN   \n",
       "(Green Mile, Sixth Sense)                        ...                   NaN   \n",
       "(Gladiator, Sixth Sense)                         ...                   NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)  ...                   NaN   \n",
       "\n",
       "consequents                                      (Gladiator, Sixth Sense)  \\\n",
       "antecedents                                                                 \n",
       "(Gladiator)                                                           NaN   \n",
       "(LOTR, Green Mile)                                               2.000000   \n",
       "(Braveheart, Gladiator)                                               NaN   \n",
       "(Braveheart, Patriot)                                                 NaN   \n",
       "(LOTR2, LOTR1)                                                        NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                         NaN   \n",
       "(Harry Potter1)                                                       NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                                        NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                       NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                  NaN   \n",
       "(LOTR2, Harry Potter1)                                                NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                   NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                           NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                   NaN   \n",
       "(Green Mile)                                                          NaN   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                      NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                      NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                            NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                               NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                            NaN   \n",
       "(Green Mile, LOTR2)                                                   NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                         NaN   \n",
       "(Green Mile, Harry Potter1)                                           NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                             NaN   \n",
       "(Sixth Sense)                                                         NaN   \n",
       "(Patriot)                                                        1.333333   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                    NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                       NaN   \n",
       "(LOTR)                                                           2.000000   \n",
       "(Braveheart)                                                          NaN   \n",
       "(LOTR1)                                                               NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                    NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                              NaN   \n",
       "(LOTR2)                                                               NaN   \n",
       "(Green Mile, LOTR1)                                                   NaN   \n",
       "(Harry Potter2)                                                       NaN   \n",
       "(Gladiator, Patriot)                                                  NaN   \n",
       "(Sixth Sense, Patriot)                                                NaN   \n",
       "(LOTR, Gladiator)                                                     NaN   \n",
       "(LOTR, Sixth Sense)                                                   NaN   \n",
       "(Gladiator, Green Mile)                                               NaN   \n",
       "(Harry Potter1, Sixth Sense)                                          NaN   \n",
       "(Harry Potter1, LOTR1)                                                NaN   \n",
       "(Sixth Sense, LOTR1)                                                  NaN   \n",
       "(LOTR2, Sixth Sense)                                                  NaN   \n",
       "(Green Mile, Sixth Sense)                                             NaN   \n",
       "(Gladiator, Sixth Sense)                                              NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                       NaN   \n",
       "\n",
       "consequents                                      (Sixth Sense, LOTR1)  \\\n",
       "antecedents                                                             \n",
       "(Gladiator)                                                       NaN   \n",
       "(LOTR, Green Mile)                                                NaN   \n",
       "(Braveheart, Gladiator)                                           NaN   \n",
       "(Braveheart, Patriot)                                             NaN   \n",
       "(LOTR2, LOTR1)                                                    NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                     NaN   \n",
       "(Harry Potter1)                                                   5.0   \n",
       "(LOTR, Gladiator, Sixth Sense)                                    NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                   NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                              NaN   \n",
       "(LOTR2, Harry Potter1)                                           10.0   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                               NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                       NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                               NaN   \n",
       "(Green Mile)                                                      5.0   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                  NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                  NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                        NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                           NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                        NaN   \n",
       "(Green Mile, LOTR2)                                              10.0   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                     NaN   \n",
       "(Green Mile, Harry Potter1)                                      10.0   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                         NaN   \n",
       "(Sixth Sense)                                                     NaN   \n",
       "(Patriot)                                                         NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                               10.0   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                   NaN   \n",
       "(LOTR)                                                            NaN   \n",
       "(Braveheart)                                                      NaN   \n",
       "(LOTR1)                                                           NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                          NaN   \n",
       "(LOTR2)                                                           5.0   \n",
       "(Green Mile, LOTR1)                                               NaN   \n",
       "(Harry Potter2)                                                   NaN   \n",
       "(Gladiator, Patriot)                                              NaN   \n",
       "(Sixth Sense, Patriot)                                            NaN   \n",
       "(LOTR, Gladiator)                                                 NaN   \n",
       "(LOTR, Sixth Sense)                                               NaN   \n",
       "(Gladiator, Green Mile)                                           NaN   \n",
       "(Harry Potter1, Sixth Sense)                                      NaN   \n",
       "(Harry Potter1, LOTR1)                                            NaN   \n",
       "(Sixth Sense, LOTR1)                                              NaN   \n",
       "(LOTR2, Sixth Sense)                                              NaN   \n",
       "(Green Mile, Sixth Sense)                                         NaN   \n",
       "(Gladiator, Sixth Sense)                                          NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                   NaN   \n",
       "\n",
       "consequents                                      (Harry Potter1, Sixth Sense)  \\\n",
       "antecedents                                                                     \n",
       "(Gladiator)                                                               NaN   \n",
       "(LOTR, Green Mile)                                                        NaN   \n",
       "(Braveheart, Gladiator)                                                   NaN   \n",
       "(Braveheart, Patriot)                                                     NaN   \n",
       "(LOTR2, LOTR1)                                                            5.0   \n",
       "(LOTR, Gladiator, Green Mile)                                             NaN   \n",
       "(Harry Potter1)                                                           NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                                            NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                           NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                      NaN   \n",
       "(LOTR2, Harry Potter1)                                                    NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                       NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                               NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                       NaN   \n",
       "(Green Mile)                                                              5.0   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                          NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                          NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                               10.0   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                   NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                                NaN   \n",
       "(Green Mile, LOTR2)                                                      10.0   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                             NaN   \n",
       "(Green Mile, Harry Potter1)                                               NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                                 NaN   \n",
       "(Sixth Sense)                                                             NaN   \n",
       "(Patriot)                                                                 NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                        NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                           NaN   \n",
       "(LOTR)                                                                    NaN   \n",
       "(Braveheart)                                                              NaN   \n",
       "(LOTR1)                                                                   5.0   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                        NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                                  NaN   \n",
       "(LOTR2)                                                                   5.0   \n",
       "(Green Mile, LOTR1)                                                      10.0   \n",
       "(Harry Potter2)                                                           NaN   \n",
       "(Gladiator, Patriot)                                                      NaN   \n",
       "(Sixth Sense, Patriot)                                                    NaN   \n",
       "(LOTR, Gladiator)                                                         NaN   \n",
       "(LOTR, Sixth Sense)                                                       NaN   \n",
       "(Gladiator, Green Mile)                                                   NaN   \n",
       "(Harry Potter1, Sixth Sense)                                              NaN   \n",
       "(Harry Potter1, LOTR1)                                                    NaN   \n",
       "(Sixth Sense, LOTR1)                                                      NaN   \n",
       "(LOTR2, Sixth Sense)                                                      NaN   \n",
       "(Green Mile, Sixth Sense)                                                 NaN   \n",
       "(Gladiator, Sixth Sense)                                                  NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                           NaN   \n",
       "\n",
       "consequents                                      (LOTR2, Sixth Sense)  \\\n",
       "antecedents                                                             \n",
       "(Gladiator)                                                       NaN   \n",
       "(LOTR, Green Mile)                                                NaN   \n",
       "(Braveheart, Gladiator)                                           NaN   \n",
       "(Braveheart, Patriot)                                             NaN   \n",
       "(LOTR2, LOTR1)                                                    NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                     NaN   \n",
       "(Harry Potter1)                                                   5.0   \n",
       "(LOTR, Gladiator, Sixth Sense)                                    NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                   NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                              NaN   \n",
       "(LOTR2, Harry Potter1)                                            NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                               NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                       NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                               NaN   \n",
       "(Green Mile)                                                      5.0   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                  NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                  NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                        NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                           NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                        NaN   \n",
       "(Green Mile, LOTR2)                                               NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                     NaN   \n",
       "(Green Mile, Harry Potter1)                                      10.0   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                         NaN   \n",
       "(Sixth Sense)                                                     NaN   \n",
       "(Patriot)                                                         NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                   NaN   \n",
       "(LOTR)                                                            NaN   \n",
       "(Braveheart)                                                      NaN   \n",
       "(LOTR1)                                                           5.0   \n",
       "(Green Mile, Harry Potter1, LOTR1)                               10.0   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                          NaN   \n",
       "(LOTR2)                                                           NaN   \n",
       "(Green Mile, LOTR1)                                              10.0   \n",
       "(Harry Potter2)                                                   NaN   \n",
       "(Gladiator, Patriot)                                              NaN   \n",
       "(Sixth Sense, Patriot)                                            NaN   \n",
       "(LOTR, Gladiator)                                                 NaN   \n",
       "(LOTR, Sixth Sense)                                               NaN   \n",
       "(Gladiator, Green Mile)                                           NaN   \n",
       "(Harry Potter1, Sixth Sense)                                      NaN   \n",
       "(Harry Potter1, LOTR1)                                           10.0   \n",
       "(Sixth Sense, LOTR1)                                              NaN   \n",
       "(LOTR2, Sixth Sense)                                              NaN   \n",
       "(Green Mile, Sixth Sense)                                         NaN   \n",
       "(Gladiator, Sixth Sense)                                          NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                   NaN   \n",
       "\n",
       "consequents                                      (Green Mile, Sixth Sense)  \\\n",
       "antecedents                                                                  \n",
       "(Gladiator)                                                            NaN   \n",
       "(LOTR, Green Mile)                                                     NaN   \n",
       "(Braveheart, Gladiator)                                                NaN   \n",
       "(Braveheart, Patriot)                                                  NaN   \n",
       "(LOTR2, LOTR1)                                                         2.5   \n",
       "(LOTR, Gladiator, Green Mile)                                          NaN   \n",
       "(Harry Potter1)                                                        2.5   \n",
       "(LOTR, Gladiator, Sixth Sense)                                         NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                        NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                   NaN   \n",
       "(LOTR2, Harry Potter1)                                                 5.0   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                    NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                            NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                    NaN   \n",
       "(Green Mile)                                                           NaN   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                       NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                       NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                             NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                             NaN   \n",
       "(Green Mile, LOTR2)                                                    NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                          5.0   \n",
       "(Green Mile, Harry Potter1)                                            NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                              NaN   \n",
       "(Sixth Sense)                                                          NaN   \n",
       "(Patriot)                                                              NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                     NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                        NaN   \n",
       "(LOTR)                                                                 5.0   \n",
       "(Braveheart)                                                           NaN   \n",
       "(LOTR1)                                                                2.5   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                     NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                               NaN   \n",
       "(LOTR2)                                                                2.5   \n",
       "(Green Mile, LOTR1)                                                    NaN   \n",
       "(Harry Potter2)                                                        NaN   \n",
       "(Gladiator, Patriot)                                                   NaN   \n",
       "(Sixth Sense, Patriot)                                                 NaN   \n",
       "(LOTR, Gladiator)                                                      5.0   \n",
       "(LOTR, Sixth Sense)                                                    NaN   \n",
       "(Gladiator, Green Mile)                                                NaN   \n",
       "(Harry Potter1, Sixth Sense)                                           NaN   \n",
       "(Harry Potter1, LOTR1)                                                 5.0   \n",
       "(Sixth Sense, LOTR1)                                                   NaN   \n",
       "(LOTR2, Sixth Sense)                                                   NaN   \n",
       "(Green Mile, Sixth Sense)                                              NaN   \n",
       "(Gladiator, Sixth Sense)                                               NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                        NaN   \n",
       "\n",
       "consequents                                      (LOTR, Sixth Sense)  \\\n",
       "antecedents                                                            \n",
       "(Gladiator)                                                      NaN   \n",
       "(LOTR, Green Mile)                                               NaN   \n",
       "(Braveheart, Gladiator)                                          NaN   \n",
       "(Braveheart, Patriot)                                            NaN   \n",
       "(LOTR2, LOTR1)                                                   NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                    NaN   \n",
       "(Harry Potter1)                                                  NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                                   NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                  NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                             NaN   \n",
       "(LOTR2, Harry Potter1)                                           NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                              NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                      NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                              NaN   \n",
       "(Green Mile)                                                     5.0   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                 NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                 NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                       NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                          NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                       NaN   \n",
       "(Green Mile, LOTR2)                                              NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                    NaN   \n",
       "(Green Mile, Harry Potter1)                                      NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                        NaN   \n",
       "(Sixth Sense)                                                    NaN   \n",
       "(Patriot)                                                        NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                               NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                  NaN   \n",
       "(LOTR)                                                           NaN   \n",
       "(Braveheart)                                                     NaN   \n",
       "(LOTR1)                                                          NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                               NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                         NaN   \n",
       "(LOTR2)                                                          NaN   \n",
       "(Green Mile, LOTR1)                                              NaN   \n",
       "(Harry Potter2)                                                  NaN   \n",
       "(Gladiator, Patriot)                                             NaN   \n",
       "(Sixth Sense, Patriot)                                           NaN   \n",
       "(LOTR, Gladiator)                                                NaN   \n",
       "(LOTR, Sixth Sense)                                              NaN   \n",
       "(Gladiator, Green Mile)                                         10.0   \n",
       "(Harry Potter1, Sixth Sense)                                     NaN   \n",
       "(Harry Potter1, LOTR1)                                           NaN   \n",
       "(Sixth Sense, LOTR1)                                             NaN   \n",
       "(LOTR2, Sixth Sense)                                             NaN   \n",
       "(Green Mile, Sixth Sense)                                        NaN   \n",
       "(Gladiator, Sixth Sense)                                         NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                  NaN   \n",
       "\n",
       "consequents                                      (LOTR2, Green Mile, Sixth Sense, LOTR1)  \\\n",
       "antecedents                                                                                \n",
       "(Gladiator)                                                                          NaN   \n",
       "(LOTR, Green Mile)                                                                   NaN   \n",
       "(Braveheart, Gladiator)                                                              NaN   \n",
       "(Braveheart, Patriot)                                                                NaN   \n",
       "(LOTR2, LOTR1)                                                                       NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                                        NaN   \n",
       "(Harry Potter1)                                                                      5.0   \n",
       "(LOTR, Gladiator, Sixth Sense)                                                       NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                                      NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                                                 NaN   \n",
       "(LOTR2, Harry Potter1)                                                               NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                                  NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                                          NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                                  NaN   \n",
       "(Green Mile)                                                                         NaN   \n",
       "(Green Mile, Sixth Sense, LOTR1)                                                     NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                                                     NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                                           NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                              NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                                           NaN   \n",
       "(Green Mile, LOTR2)                                                                  NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                                        NaN   \n",
       "(Green Mile, Harry Potter1)                                                          NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                                            NaN   \n",
       "(Sixth Sense)                                                                        NaN   \n",
       "(Patriot)                                                                            NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                                                   NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                                      NaN   \n",
       "(LOTR)                                                                               NaN   \n",
       "(Braveheart)                                                                         NaN   \n",
       "(LOTR1)                                                                              NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                                                   NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                                             NaN   \n",
       "(LOTR2)                                                                              NaN   \n",
       "(Green Mile, LOTR1)                                                                  NaN   \n",
       "(Harry Potter2)                                                                      NaN   \n",
       "(Gladiator, Patriot)                                                                 NaN   \n",
       "(Sixth Sense, Patriot)                                                               NaN   \n",
       "(LOTR, Gladiator)                                                                    NaN   \n",
       "(LOTR, Sixth Sense)                                                                  NaN   \n",
       "(Gladiator, Green Mile)                                                              NaN   \n",
       "(Harry Potter1, Sixth Sense)                                                         NaN   \n",
       "(Harry Potter1, LOTR1)                                                               NaN   \n",
       "(Sixth Sense, LOTR1)                                                                 NaN   \n",
       "(LOTR2, Sixth Sense)                                                                 NaN   \n",
       "(Green Mile, Sixth Sense)                                                            NaN   \n",
       "(Gladiator, Sixth Sense)                                                             NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                                      NaN   \n",
       "\n",
       "consequents                                      (LOTR, Gladiator)  \\\n",
       "antecedents                                                          \n",
       "(Gladiator)                                                    NaN   \n",
       "(LOTR, Green Mile)                                             NaN   \n",
       "(Braveheart, Gladiator)                                        NaN   \n",
       "(Braveheart, Patriot)                                          NaN   \n",
       "(LOTR2, LOTR1)                                                 NaN   \n",
       "(LOTR, Gladiator, Green Mile)                                  NaN   \n",
       "(Harry Potter1)                                                NaN   \n",
       "(LOTR, Gladiator, Sixth Sense)                                 NaN   \n",
       "(LOTR, Green Mile, Sixth Sense)                                NaN   \n",
       "(Gladiator, Green Mile, Sixth Sense)                           NaN   \n",
       "(LOTR2, Harry Potter1)                                         NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                            NaN   \n",
       "(LOTR2, Sixth Sense, LOTR1)                                    NaN   \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                            NaN   \n",
       "(Green Mile)                                                   5.0   \n",
       "(Green Mile, Sixth Sense, LOTR1)                               NaN   \n",
       "(Green Mile, LOTR2, Sixth Sense)                               NaN   \n",
       "(Green Mile, LOTR2, LOTR1)                                     NaN   \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                        NaN   \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                     NaN   \n",
       "(Green Mile, LOTR2)                                            NaN   \n",
       "(LOTR2, Harry Potter1, LOTR1)                                  NaN   \n",
       "(Green Mile, Harry Potter1)                                    NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                      NaN   \n",
       "(Sixth Sense)                                                  NaN   \n",
       "(Patriot)                                                      NaN   \n",
       "(Green Mile, LOTR2, Harry Potter1)                             NaN   \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                NaN   \n",
       "(LOTR)                                                         NaN   \n",
       "(Braveheart)                                                   NaN   \n",
       "(LOTR1)                                                        NaN   \n",
       "(Green Mile, Harry Potter1, LOTR1)                             NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                       NaN   \n",
       "(LOTR2)                                                        NaN   \n",
       "(Green Mile, LOTR1)                                            NaN   \n",
       "(Harry Potter2)                                                NaN   \n",
       "(Gladiator, Patriot)                                           NaN   \n",
       "(Sixth Sense, Patriot)                                         NaN   \n",
       "(LOTR, Gladiator)                                              NaN   \n",
       "(LOTR, Sixth Sense)                                            NaN   \n",
       "(Gladiator, Green Mile)                                        NaN   \n",
       "(Harry Potter1, Sixth Sense)                                   NaN   \n",
       "(Harry Potter1, LOTR1)                                         NaN   \n",
       "(Sixth Sense, LOTR1)                                           NaN   \n",
       "(LOTR2, Sixth Sense)                                           NaN   \n",
       "(Green Mile, Sixth Sense)                                      5.0   \n",
       "(Gladiator, Sixth Sense)                                       NaN   \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                NaN   \n",
       "\n",
       "consequents                                      (LOTR2, Green Mile, Harry Potter1, Sixth Sense)  \n",
       "antecedents                                                                                       \n",
       "(Gladiator)                                                                                  NaN  \n",
       "(LOTR, Green Mile)                                                                           NaN  \n",
       "(Braveheart, Gladiator)                                                                      NaN  \n",
       "(Braveheart, Patriot)                                                                        NaN  \n",
       "(LOTR2, LOTR1)                                                                               NaN  \n",
       "(LOTR, Gladiator, Green Mile)                                                                NaN  \n",
       "(Harry Potter1)                                                                              NaN  \n",
       "(LOTR, Gladiator, Sixth Sense)                                                               NaN  \n",
       "(LOTR, Green Mile, Sixth Sense)                                                              NaN  \n",
       "(Gladiator, Green Mile, Sixth Sense)                                                         NaN  \n",
       "(LOTR2, Harry Potter1)                                                                       NaN  \n",
       "(LOTR2, Harry Potter1, Sixth Sense)                                                          NaN  \n",
       "(LOTR2, Sixth Sense, LOTR1)                                                                  NaN  \n",
       "(Harry Potter1, Sixth Sense, LOTR1)                                                          NaN  \n",
       "(Green Mile)                                                                                 NaN  \n",
       "(Green Mile, Sixth Sense, LOTR1)                                                             NaN  \n",
       "(Green Mile, LOTR2, Sixth Sense)                                                             NaN  \n",
       "(Green Mile, LOTR2, LOTR1)                                                                   NaN  \n",
       "(LOTR2, Green Mile, Sixth Sense, LOTR1)                                                      NaN  \n",
       "(LOTR2, Harry Potter1, Sixth Sense, LOTR1)                                                   NaN  \n",
       "(Green Mile, LOTR2)                                                                          NaN  \n",
       "(LOTR2, Harry Potter1, LOTR1)                                                                NaN  \n",
       "(Green Mile, Harry Potter1)                                                                  NaN  \n",
       "(LOTR2, Green Mile, Harry Potter1, LOTR1)                                                    NaN  \n",
       "(Sixth Sense)                                                                                NaN  \n",
       "(Patriot)                                                                                    NaN  \n",
       "(Green Mile, LOTR2, Harry Potter1)                                                           NaN  \n",
       "(LOTR2, Green Mile, Harry Potter1, Sixth Sense)                                              NaN  \n",
       "(LOTR)                                                                                       NaN  \n",
       "(Braveheart)                                                                                 NaN  \n",
       "(LOTR1)                                                                                      5.0  \n",
       "(Green Mile, Harry Potter1, LOTR1)                                                           NaN  \n",
       "(Green Mile, Harry Potter1, Sixth Sense)                                                     NaN  \n",
       "(LOTR2)                                                                                      NaN  \n",
       "(Green Mile, LOTR1)                                                                          NaN  \n",
       "(Harry Potter2)                                                                              NaN  \n",
       "(Gladiator, Patriot)                                                                         NaN  \n",
       "(Sixth Sense, Patriot)                                                                       NaN  \n",
       "(LOTR, Gladiator)                                                                            NaN  \n",
       "(LOTR, Sixth Sense)                                                                          NaN  \n",
       "(Gladiator, Green Mile)                                                                      NaN  \n",
       "(Harry Potter1, Sixth Sense)                                                                 NaN  \n",
       "(Harry Potter1, LOTR1)                                                                       NaN  \n",
       "(Sixth Sense, LOTR1)                                                                         NaN  \n",
       "(LOTR2, Sixth Sense)                                                                         NaN  \n",
       "(Green Mile, Sixth Sense)                                                                    NaN  \n",
       "(Gladiator, Sixth Sense)                                                                     NaN  \n",
       "(Green Mile, Harry Potter1, Sixth Sense, LOTR1)                                              NaN  \n",
       "\n",
       "[48 rows x 41 columns]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix1 = lift1.pivot('antecedents','consequents','lift')\n",
    "matrix1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "c87a44e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x900 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6),dpi=150)\n",
    "sns.heatmap(matrix1, annot=True)\n",
    "plt.title('HeatMap - ForLiftMatrix')\n",
    "plt.yticks(rotation=0, fontsize= 6)\n",
    "plt.xticks(rotation=90, fontsize= 6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "9043fc17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6))\n",
    "sns.barplot(\"support\",\"confidence\",data=lift1)\n",
    "plt.title(\"Support vs Confidence\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "170702df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6))\n",
    "fit = np.polyfit(rules1['lift'], rules1['confidence'], 1)\n",
    "fit_fn = np.poly1d(fit)\n",
    "plt.plot(rules1['lift'], rules1['confidence'], 'yo', rules1['lift'], \n",
    "fit_fn(rules1['lift']))\n",
    "plt.xlabel('Lift')\n",
    "plt.ylabel('Confidence')\n",
    "plt.title('Lift vs Confidence', fontsize= 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "28238da0",
   "metadata": {},
   "source": [
    "### 6.2 Association rules with 15% Support and 40% confidence\n",
    "### With 15% Support"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "63fcd3be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>support</th>\n",
       "      <th>itemsets</th>\n",
       "      <th>length</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.6</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.7</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(Harry Potter1)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.6</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.5</td>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.4</td>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(Green Mile, Sixth Sense)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.6</td>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(LOTR2, LOTR1)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.4</td>\n",
       "      <td>(Gladiator, Sixth Sense, Patriot)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    support                           itemsets  length\n",
       "0       0.6                      (Sixth Sense)       1\n",
       "1       0.7                        (Gladiator)       1\n",
       "2       0.2                            (LOTR1)       1\n",
       "3       0.2                    (Harry Potter1)       1\n",
       "4       0.6                          (Patriot)       1\n",
       "5       0.2                            (LOTR2)       1\n",
       "6       0.2                       (Green Mile)       1\n",
       "7       0.5           (Gladiator, Sixth Sense)       2\n",
       "8       0.4             (Sixth Sense, Patriot)       2\n",
       "9       0.2          (Green Mile, Sixth Sense)       2\n",
       "10      0.6               (Gladiator, Patriot)       2\n",
       "11      0.2                     (LOTR2, LOTR1)       2\n",
       "12      0.4  (Gladiator, Sixth Sense, Patriot)       3"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequent_itemsets2 = apriori(movie_data,min_support=0.15,use_colnames=True)\n",
    "frequent_itemsets2['length'] = frequent_itemsets2['itemsets'].apply(lambda x: len(x))\n",
    "frequent_itemsets2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bcb613b8",
   "metadata": {},
   "source": [
    "### Support value gives us these information:\n",
    "**Head 5**\n",
    "* 42 percent of 100 purchases are Sixth Sense\n",
    "* 24 percent of 100 purchases are Gladiator\n",
    "* 43 percent of 100 purchases are LOTR1\n",
    "* 28 percent of 100 purchases are Harry Potter1\n",
    "* 21 percent of 100 purchases are Patriot"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "714142a7",
   "metadata": {},
   "source": [
    "### With 40% Confidence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "061673e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
       "      <th>leverage</th>\n",
       "      <th>conviction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.666667</td>\n",
       "      <td>0.08</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>2.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.12</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.571429</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.12</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 antecedents               consequents  antecedent support  \\\n",
       "0                (Gladiator)             (Sixth Sense)                 0.7   \n",
       "1              (Sixth Sense)               (Gladiator)                 0.6   \n",
       "2              (Sixth Sense)                 (Patriot)                 0.6   \n",
       "3                  (Patriot)             (Sixth Sense)                 0.6   \n",
       "4               (Green Mile)             (Sixth Sense)                 0.2   \n",
       "5                (Gladiator)                 (Patriot)                 0.7   \n",
       "6                  (Patriot)               (Gladiator)                 0.6   \n",
       "7                    (LOTR2)                   (LOTR1)                 0.2   \n",
       "8                    (LOTR1)                   (LOTR2)                 0.2   \n",
       "9   (Gladiator, Sixth Sense)                 (Patriot)                 0.5   \n",
       "10      (Gladiator, Patriot)             (Sixth Sense)                 0.6   \n",
       "11    (Sixth Sense, Patriot)               (Gladiator)                 0.4   \n",
       "12               (Gladiator)    (Sixth Sense, Patriot)                 0.7   \n",
       "13             (Sixth Sense)      (Gladiator, Patriot)                 0.6   \n",
       "14                 (Patriot)  (Gladiator, Sixth Sense)                 0.6   \n",
       "\n",
       "    consequent support  support  confidence      lift  leverage  conviction  \n",
       "0                  0.6      0.5    0.714286  1.190476      0.08         1.4  \n",
       "1                  0.7      0.5    0.833333  1.190476      0.08         1.8  \n",
       "2                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "3                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "4                  0.6      0.2    1.000000  1.666667      0.08         inf  \n",
       "5                  0.6      0.6    0.857143  1.428571      0.18         2.8  \n",
       "6                  0.7      0.6    1.000000  1.428571      0.18         inf  \n",
       "7                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "8                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "9                  0.6      0.4    0.800000  1.333333      0.10         2.0  \n",
       "10                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "11                 0.7      0.4    1.000000  1.428571      0.12         inf  \n",
       "12                 0.4      0.4    0.571429  1.428571      0.12         1.4  \n",
       "13                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "14                 0.5      0.4    0.666667  1.333333      0.10         1.5  "
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rules2 = association_rules(frequent_itemsets2, metric='confidence', min_threshold=0.4)\n",
    "rules2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f2e5fc0",
   "metadata": {},
   "source": [
    "* Antecedent support variable tells us probability of antecedent products alone\n",
    "* Consequents support variable tells us probability of consequents products alone\n",
    "* The support value is the value of the two products (Antecedents and Consequents)\n",
    "* Confidence is an indication of how often the rule has been found to be true.\n",
    "* The ratio of the observed support to that expected if X and Y were independent.\n",
    "* A leverage value of 0 indicates independence. Range will be [-1 1]\n",
    "* A high conviction value means that the consequent is highly depending on the antecedent and range [0 inf]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "c17a4319",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
       "      <th>leverage</th>\n",
       "      <th>conviction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.666667</td>\n",
       "      <td>0.08</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>2.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.12</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.571429</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.12</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 antecedents               consequents  antecedent support  \\\n",
       "7                    (LOTR2)                   (LOTR1)                 0.2   \n",
       "8                    (LOTR1)                   (LOTR2)                 0.2   \n",
       "4               (Green Mile)             (Sixth Sense)                 0.2   \n",
       "5                (Gladiator)                 (Patriot)                 0.7   \n",
       "6                  (Patriot)               (Gladiator)                 0.6   \n",
       "11    (Sixth Sense, Patriot)               (Gladiator)                 0.4   \n",
       "12               (Gladiator)    (Sixth Sense, Patriot)                 0.7   \n",
       "9   (Gladiator, Sixth Sense)                 (Patriot)                 0.5   \n",
       "14                 (Patriot)  (Gladiator, Sixth Sense)                 0.6   \n",
       "1              (Sixth Sense)               (Gladiator)                 0.6   \n",
       "0                (Gladiator)             (Sixth Sense)                 0.7   \n",
       "2              (Sixth Sense)                 (Patriot)                 0.6   \n",
       "3                  (Patriot)             (Sixth Sense)                 0.6   \n",
       "10      (Gladiator, Patriot)             (Sixth Sense)                 0.6   \n",
       "13             (Sixth Sense)      (Gladiator, Patriot)                 0.6   \n",
       "\n",
       "    consequent support  support  confidence      lift  leverage  conviction  \n",
       "7                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "8                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "4                  0.6      0.2    1.000000  1.666667      0.08         inf  \n",
       "5                  0.6      0.6    0.857143  1.428571      0.18         2.8  \n",
       "6                  0.7      0.6    1.000000  1.428571      0.18         inf  \n",
       "11                 0.7      0.4    1.000000  1.428571      0.12         inf  \n",
       "12                 0.4      0.4    0.571429  1.428571      0.12         1.4  \n",
       "9                  0.6      0.4    0.800000  1.333333      0.10         2.0  \n",
       "14                 0.5      0.4    0.666667  1.333333      0.10         1.5  \n",
       "1                  0.7      0.5    0.833333  1.190476      0.08         1.8  \n",
       "0                  0.6      0.5    0.714286  1.190476      0.08         1.4  \n",
       "2                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "3                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "10                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "13                 0.6      0.4    0.666667  1.111111      0.04         1.2  "
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rules2.sort_values('lift', ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c16bf3b2",
   "metadata": {},
   "source": [
    "### Lift Ratio > 1 is a good influential rule in selecting the associated transactions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "8a7f38d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
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       "      <th>conviction</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.666667</td>\n",
       "      <td>0.08</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>2.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.12</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.571429</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.12</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 antecedents               consequents  antecedent support  \\\n",
       "0                (Gladiator)             (Sixth Sense)                 0.7   \n",
       "1              (Sixth Sense)               (Gladiator)                 0.6   \n",
       "2              (Sixth Sense)                 (Patriot)                 0.6   \n",
       "3                  (Patriot)             (Sixth Sense)                 0.6   \n",
       "4               (Green Mile)             (Sixth Sense)                 0.2   \n",
       "5                (Gladiator)                 (Patriot)                 0.7   \n",
       "6                  (Patriot)               (Gladiator)                 0.6   \n",
       "7                    (LOTR2)                   (LOTR1)                 0.2   \n",
       "8                    (LOTR1)                   (LOTR2)                 0.2   \n",
       "9   (Gladiator, Sixth Sense)                 (Patriot)                 0.5   \n",
       "10      (Gladiator, Patriot)             (Sixth Sense)                 0.6   \n",
       "11    (Sixth Sense, Patriot)               (Gladiator)                 0.4   \n",
       "12               (Gladiator)    (Sixth Sense, Patriot)                 0.7   \n",
       "13             (Sixth Sense)      (Gladiator, Patriot)                 0.6   \n",
       "14                 (Patriot)  (Gladiator, Sixth Sense)                 0.6   \n",
       "\n",
       "    consequent support  support  confidence      lift  leverage  conviction  \n",
       "0                  0.6      0.5    0.714286  1.190476      0.08         1.4  \n",
       "1                  0.7      0.5    0.833333  1.190476      0.08         1.8  \n",
       "2                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "3                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "4                  0.6      0.2    1.000000  1.666667      0.08         inf  \n",
       "5                  0.6      0.6    0.857143  1.428571      0.18         2.8  \n",
       "6                  0.7      0.6    1.000000  1.428571      0.18         inf  \n",
       "7                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "8                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "9                  0.6      0.4    0.800000  1.333333      0.10         2.0  \n",
       "10                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "11                 0.7      0.4    1.000000  1.428571      0.12         inf  \n",
       "12                 0.4      0.4    0.571429  1.428571      0.12         1.4  \n",
       "13                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "14                 0.5      0.4    0.666667  1.333333      0.10         1.5  "
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lift2 = rules2[rules2.lift>1]\n",
    "lift2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b996589",
   "metadata": {},
   "source": [
    "###  Visualization of obtained rule"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "1a24b156",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6))\n",
    "plt.scatter(rules2['support'],rules2['confidence'])\n",
    "plt.xlabel('Support')\n",
    "plt.ylabel('Confidence') \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "22d27a0d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>consequents</th>\n",
       "      <th>(Sixth Sense)</th>\n",
       "      <th>(Gladiator)</th>\n",
       "      <th>(Patriot)</th>\n",
       "      <th>(LOTR1)</th>\n",
       "      <th>(LOTR2)</th>\n",
       "      <th>(Sixth Sense, Patriot)</th>\n",
       "      <th>(Gladiator, Patriot)</th>\n",
       "      <th>(Gladiator, Sixth Sense)</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>antecedents</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>(Gladiator)</th>\n",
       "      <td>1.190476</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Patriot)</th>\n",
       "      <td>1.111111</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Patriot)</th>\n",
       "      <td>1.111111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Sixth Sense, Patriot)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "consequents               (Sixth Sense)  (Gladiator)  (Patriot)  (LOTR1)  \\\n",
       "antecedents                                                                \n",
       "(Gladiator)                    1.190476          NaN   1.428571      NaN   \n",
       "(Sixth Sense)                       NaN     1.190476   1.111111      NaN   \n",
       "(Patriot)                      1.111111     1.428571        NaN      NaN   \n",
       "(Green Mile)                   1.666667          NaN        NaN      NaN   \n",
       "(LOTR2)                             NaN          NaN        NaN      5.0   \n",
       "(LOTR1)                             NaN          NaN        NaN      NaN   \n",
       "(Gladiator, Sixth Sense)            NaN          NaN   1.333333      NaN   \n",
       "(Gladiator, Patriot)           1.111111          NaN        NaN      NaN   \n",
       "(Sixth Sense, Patriot)              NaN     1.428571        NaN      NaN   \n",
       "\n",
       "consequents               (LOTR2)  (Sixth Sense, Patriot)  \\\n",
       "antecedents                                                 \n",
       "(Gladiator)                   NaN                1.428571   \n",
       "(Sixth Sense)                 NaN                     NaN   \n",
       "(Patriot)                     NaN                     NaN   \n",
       "(Green Mile)                  NaN                     NaN   \n",
       "(LOTR2)                       NaN                     NaN   \n",
       "(LOTR1)                       5.0                     NaN   \n",
       "(Gladiator, Sixth Sense)      NaN                     NaN   \n",
       "(Gladiator, Patriot)          NaN                     NaN   \n",
       "(Sixth Sense, Patriot)        NaN                     NaN   \n",
       "\n",
       "consequents               (Gladiator, Patriot)  (Gladiator, Sixth Sense)  \n",
       "antecedents                                                               \n",
       "(Gladiator)                                NaN                       NaN  \n",
       "(Sixth Sense)                         1.111111                       NaN  \n",
       "(Patriot)                                  NaN                  1.333333  \n",
       "(Green Mile)                               NaN                       NaN  \n",
       "(LOTR2)                                    NaN                       NaN  \n",
       "(LOTR1)                                    NaN                       NaN  \n",
       "(Gladiator, Sixth Sense)                   NaN                       NaN  \n",
       "(Gladiator, Patriot)                       NaN                       NaN  \n",
       "(Sixth Sense, Patriot)                     NaN                       NaN  "
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix2 = lift2.pivot('antecedents','consequents','lift')\n",
    "matrix2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "fa47c8c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6),dpi=100)\n",
    "sns.heatmap(matrix2,annot=True)\n",
    "plt.title('HeatMap - ForLiftMatrix')\n",
    "plt.yticks(rotation=0, fontsize= 6)\n",
    "plt.xticks(rotation=90, fontsize= 6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "bccc2cf6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6))\n",
    "sns.barplot(\"support\",\"confidence\",data=lift2)\n",
    "plt.title(\"Support vs Confidence\", fontsize= 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "ccf98301",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uc/upZTM+IoPGHgAA5IxdlVX6v5eX6C9vfRhTP6Rtc00YcbT6HLxfQJ0hEUIKACDr/WtJua6aWPtCoHeff6QuPrqzItcXRdgQUgAAWemTjTt03dTZmrPi85j6GUcdol+ef6TaNG8aTGNIGiEFAJA1Kqtc9762VH/817KY+v4tm2ryVUN1ZKe2AXWGvUFIAQBkvP8sW69Lx82oVb/9rL668thuDOdkKEIKACAjrd9Soe8+Okf/+eDTmPrJhxfqNxf0V9uWDOdkOkIKACBjVFW5HnjjA/3qldKYestm+Zpy9VAN7rp/QJ0hFQgpAIDQm/XRBg0bN0M7d1fF1G89rY9GHV+kvDyGc7IRIQUAEEqfbd2pm/86V6+XroupH9+zve69aIAObF0QUGdIF0IKACA03F0Pvf2hfv7C4ph6nklTR35Jx/Q4MKDOEARCCgAgcPNWfq7LHpqhzTt2x9RvOrmnvvPVnspnOCcnEVIAAIHYtGOXfvjEe3p54Scx9SHdDtB9lw7UQfs1D6gzhAUhBQCQNu6uh2es0E+fWVBr2aSrhugrvToE0BXCipACAEi5Ras36YoJM7Vuc0VM/boTe+j7p/RSk/y8gDpDmBFSAAApsbVit0Y/PV/PzF0dUz+qU1s9cNlgdWzXIqDOkCkIKQCARvXXkpX64ZPv1aqPvXywvt7v4AA6QqYipAAA9tmytZt15YRZWvXZ9pj6lcd2022n91FBk/yAOkMmI6QAAPbKjl2Vuv3ZhXq8ZGVMvVdha/1leLG6HtgqoM6QLQgpAIA98ty81fruo3Nq1f94yUCd1f/QADpCtiKkAAAa9NH6rRo5uUTL1m6JqV8ypItuP6uvmjdlOAeNj5ACAEioYnelfvHCYk2avjym3vXAlnroiqN12EGtA+oMuYKQAgCI8crCT/Q/U2bXqv/6gv761uBOAXSEXEVIAQBo1WfbdO3Ds7Xg400x9fMHddTPzz1CLZvxcYH0428dAOSoXZVV+vUrpfrzm2Ux9cL9CjRxxBAdfsh+AXUGRBBSACDHvF66ViMmzKpVH3PeEbp0SBeZ8Y3DCAdCCgDkgPJNO/Ttqe9q9vLPYupnHHmI7v7mkdqvedOAOgPqRkgBgCxVWeX6/T/f1x/++X5MvV3Lppp81RAd1aldMI0BSSKkAECW+c8H63XpX2bUqv/szL4a8eVuDOcgYxBSACALrN9SoRsfm6N/L/s0pn7y4Qfp1xf0V7uWzQLqDNh7hBQAyFBVVa4H3vhAv3qlNKbevGmeHr56qIq7HRBQZ0DjIKQAQIYp+WiDho2boYrdVTH1H57aW9ee0EN5eQznIDsQUgAgA3y+badu/us8/WvJ2pj6cYe1170XD1D71gUBdQakDiEFAELK3fXQ2x/q5y8srrXskWuG6tge7QPoCkgfQgoAhMx7qz7XZeNmaNOO3TH1736tp278Wk/lM5yDHEFIAYAQ2LRjl27923t6cf4nMfXirvvr/mGDVLhf84A6A4JDSAGAgLi7ps5YoZ88s6DWsokjjtaJvQ8KoCsgPAgpAJBmi9ds0pUTZqp8U0VM/X++UqRbvt5bTfPzAuoMCBdCCgCkwdaK3frpMwv01JyPY+pHdNxPD142WJ32bxlQZ0B4EVIAIIWenL1Ktzwxr1b9z5cP1jf6HRxAR0DmIKQAQCNbtnaLrpo4Sys2bIupX3lsN912eh8VNMkPqDMgsxBSAKAR7NhVqTv/vlCPzlwZU+95UGv9ZXixurVvFVBnQOYipADAPnj+vdW64ZE5tep/uGSgzu5/aAAdAdmDkAIAe2j5p1t1zeQSLS3fElO/ZEhn3X5WPzVvynAO0BgIKQCQhJ27q/SLFxdr4n8+iql3PqCFJlx5tA47qE0wjQFZjJACAPX4x8JPNGrK7Fr1X33rKF1Q3DmAjoDcQUgBgDgff75d106Zrfkfb4ypnzewo35+7hFqVcCvTiAd+JcGAJJ2VVbp1/8o1Z/fKIupd2hToEkjhqjvofsF1BmQuwgpAHLaG0vX6YrxM2vV7zr3CF02tIvM+MZhICiEFAA5p3zTDl0/9V2VLP8spn7aEQfrnm8dpf2aNw2oMwA1EVIA5ITKKtcf/vm+fv/P92Pq+zVvoilXD1X/zu2CaQxAnVIaUszsVEm/l5QvaZy7/zJu+f6SxkvqIWmHpKvcvfZ3lgPAXpr+wae6dNw7co+t/+SMw3X1cd0ZzgFCLGUhxczyJd0v6RRJqyTNMrPn3H1RjdV+LGmuu59nZn2i638tVT0ByA2fbqnQjY/N1dvL1sfUT+rdQb+9cID2b9UsoM4A7IlUHkkZImmZu5dJkpk9JukcSTVDSl9Jd0uSuy8xs25mVuju5SnsC0AWqqpy/fnNMt3z8pKYerMmeZo6cqiO7nZAQJ0B2FupDCkdJdX8pq1VkobGrTNP0vmS3jazIZK6SuokiZACICmzl3+my8bN0PZdlTH1H3yjt677Sg/l5TGcA2SqVIaURL8Z4kaF9UtJvzezuZLmS5ojaXetFzIbJWmUJHXp0qVxuwSQcT7ftlO3PDFPry1eG1M/tseB+v3FA9WhTUFAnQFoTKkMKask1bxmdCdJq2uu4O6bJI2QJIvMXvswelPcemMljZWk4uLi+KADIAe4uyb8+yP97/OLai17ZORQHXtY+wC6ApBKqQwpsyT1NLPukj6WdLGkS2uuYGbtJG1z952SRkp6MxpcAECSNH/VRl0+foY+37Yrpv7drx6mG0/upXyGc4CslbKQ4u67zewGSa8ocgryeHdfaGbXRpc/KOlwSZPNrFKRCbVXp6ofAJlj845duvWp+XrhvTUx9cFd99f9lw7SwW2bB9QZgHRK6XVS3P1FSS/G1R6s8efpknqmsgcAmcHd9ejMlfrx0/NrLZtw5dE6qc9BAXQFIEhccRZAoJZ8sklXjp+lTzbtiKmPOqFIP/hGbzXNzwuoMwBBI6QASLttO3frJ88s0FPvfhxT73fofnrwssHqfEDLgDoDECaEFABp87fZq/T9J+bVqj942WCdesTBAXQEIMwIKQBS6oN1W3TVxFla/um2mPrwY7pq9BmHq6BJfkCdAQg7QgqARrdjV6Xu/PsiPTpzRUy9R4dWGnfF0erevlVAnQHIJIQUAI3mhffW6PpH3q1V//3FA3TOgI4BdAQgkxFSAOyTFZ9u0zWTS1RavjmmflFxZ91xdj+1aMZwDoC9Q0gBsMd27q7SL19aovH/jv0Wi47tWmjCiKPVq7BNQJ0ByCaEFABJe21RuUZOLqlV/79vHqULijsp8hVcANA4CCkA6rX68+267uHZmrdqY0z9nAGHasx5R6p1Ab9GAKQGv10A1LK7skq/eXWpHpj2QUy9fesCTbrqaPU7tG1AnQHIJYQUAF94c+k6DR8/s1b9rnP66bIvdWU4B0BaEVKAHLd20w7d8MgczfxoQ0z91H4H655vHaW2LZoG1BmAXEdIAXJQZZXrj/96X/e+9n5MvU1BE00ZOVQDOrcLpjEAqIGQAuSQd8o+1bBxM1RZ5TH10acfrpHHd2c4B0CoEFKALLdh607d+NgcvfX++pj6ib076LcXDtABrZoF1BkA1I+QAmShqirX2LfK9MuXlsTUm+Xn6eGRQzWk+wEBdQYAySOkAFnk3RWf6bJxM7RtZ2VM/Zav99K3TzxMeXkM5wDIHIQUIMNt3LZL339inl5bXB5T/1LRAfrDJQN1UJvmAXUGAPuGkAJkIHfXxP98pDv/vqjWsoevHqrjerYPoCsAaFyElJAqL5+qsrLRqqhYoYKCLioqGqPCwmFBt4WALfh4o4aPn6kNW3fG1G846TDddHJPNcnPC6gzAGh8hJQQKi+fqtLSUaqq2iZJqqhYrtLSUZJEUMlBm3fs0m1Pzdfz762JqQ/o3E4PXDZIh7RtEVBnAJBahJQQKisb/UVAqVZVtU1lZaMJKTnC3fXYrJW67an5tZY9dEWxvnZ4YQBdAUB6EVJCqKJixR7VkT1KP9msERNmavXGHTH1kcd11w9P7aNmTRjOAZA7CCkhVFDQRRUVyxPWkX2276zUT59doCdnr4qpH37Ifhp7+WB1PqBlQJ0BQLAIKSFUVDQmZk6KJOXltVRR0ZgAu0Jje3rOKn3v8Xm16g8MG6TTjjwkgI4AIFwIKSFUPe+Es3uyT9m6Lbp6Uok+XL81pn75l7pq9BmHq3nT/IA6A4DwIaSEVGHhMEJJltixq1J3Pb9IU2fEzikq6tBK44YXq6hD64A6A4BwI6QAKfLi/DX69tR3a9XvvWiAzh3YMYCOACCzEFKARrRywzZdM7lESz7ZHFO/YHAn/e85R6hFM4ZzACBZhBRgH+3cXaV7Xl6ih97+MKbesV0LTRhxtHoVtgmoMwDIbIQUYC/9c3G5rp5UUqt+zzeP1IXFnWXGNw4DwL4gpAB7YM3G7br24Xc1b+XnMfWz+x+qX5x/pFoX8E8KABoLv1GBBuyurNJvX12qP037IKbevnUzTRwxREd0bBtQZwCQ3QgpQB3een+dLn9oZq36nWf30/BjujKcAwApRkhJUnn5VC6ulgPWbt6hGx6Zo5kfboipf71voX51QX+1bdE0oM4AIPckFVLMrKWk70vq4u7XmFlPSb3d/fmUdhcS5eVTYy5TX1GxXKWloySJoJIFqqpc972+TL99dWlMvXVBE025eogGdtk/oM4AILcleyRlgqTZko6JPl4l6QlJORFSyspGx3yPjiRVVW1TWdloQkoGm1H2qYaNm6HdVR5Tv+20Prrm+CLl5TGcAwBBSjak9HD3i8zsEkly9+2WQwPyFRUr9qiO8Nqwdae+9/hcvbF0XUz9hF4ddO9FA3RAq2YBdQYAiJdsSNlpZi0kuSSZWQ9JFSnrKmQKCrqoomJ5wjrCz931l7fK9IsXl8TUm+SZpo4cqqFFBwbUGQCgPsmGlNslvSyps5lNlfRlSVemqqmwKSoaEzMnRZLy8lqqqGhMgF2hIXNWfKbLH5qpLRW7Y+o3n9JL1590mPIZzgGAUEsqpLj7q2b2rqQvSTJJN7r7+pR2FiLV8044uyf8Nm7fpR88MU//WFQeUx/a/QD98dKBOqhN84A6AwDsqWTP7jlP0r/c/YXo43Zmdq67P5PK5sKksHAYoSSk3F2Tpy/X7c8trLVs8lVDdEKvDgF0BQDYV0kP97j709UP3P1zM7td0jMp6QpIwoKPN+qK8TP16dadMfXrT+qh753cS03y8wLqDADQGJINKYl+23MhOKTdlorduu2p+fr7vNUx9f6d2+mBYYN0aLsWAXUGAGhsyQaNEjP7raT7FTnD5zuKXDcFSDl3119LVupHf5tfa9m44cU6uW9hAF0BAFIt2ZDyHUk/lfS4IhNn/yHp+lQ1BUjS0vLNGjFhlj7+fHtM/erjuutHp/ZRsyYM5wBANkv27J6tkm5NcS+Atu+s1M+eXaAnZq+Kqfc5uI3+MrxYnQ9oGVBnAIB0S/bsnl6SbpHUreZz3P2rqWkLueaZOR/rpsfn1qrff+kgnXHUIelvCAAQuGSHe56Q9KCkcZIqU9cOcsmH67fq6omzVLZ+a0x92NAu+umZfdW8aX5AnQEAwiDZkLLb3R9IaSfICTt2VernLyzSw+/Efu9R9/atNO6KYvXo0DqgzgAAYZNsSPm7mX1b0tOq8Z097r4hJV0h67y8YI2uffjdWvXfXthf5w/qFEBHAICwSzakXBG9/0GNmksqatx2kE1WbtimUVNma/GaTTH1bw7qpLvO7aeWzbjUDgCgbsme3dM91Y0gO+yqrNI9Ly3RuLc/jKkf0ra5Jow4Wn0O3i+gzgAAmSbZs3taSrpZUhd3H2VmPSX1dvfnU9odMsa/lpTrqokltep3n3+kLj66s8z4xmEAwJ5J9nj7BEWuMHts9PEqRc74IaTksE827tB1U2drzorPY+pnHnWI7j7/SLVp3jSYxgAAWSHZkNLD3S8ys0skyd23G/81zkm7K6t072vv677Xl8XUD2jVTJNGDNGRndoG1BkAINskG1J2mlkLRSbLysx6qMZZPnUxs1Ml/V5SvqRx7v7LuOVtJT0sqUu0l1+7+4Tk288s5eVTVVY2WhUVK1RQ0EVFRWNUWDgs6LaS8u9l6zVs3Ixa9TvO6qsrju3GcA4AoNElG1Jul/SypM5mNlXSlyVdWd8TzCxfkS8kPEWR4aFZZvacuy+qsdr1kha5+1lm1kFSqZlNdfede7gdoVdePlWlpaNUVbVNklRRsVylpaMkKbRBZd3mCn3n0Xf1Tlnsmean9C3Ur7/VX21bMpwDAEidZM/uedXM3pX0JUW+YPBGd1/fwNOGSFrm7mWSZGaPSTpHUs2Q4pLaRIeOWkvaIGn3nm1CZigrG/1FQKlWVbVNZWWjQxVSqqpcf5q2TL/+x9KYestm+Zpy9VAN7rp/QJ0BAHJNvSHFzAbFldZE77uYWRd3r311rv/qKGlljcerJA2NW+c+Sc9JWi2pjaSL3L0qQR+jJI2SpC5dutTXcmhVVKzYo3q63f/6Mv3qldJa9VtP66NRxxcpL4/hHABAejV0JOU30fvmkoolzVPkSMpRkmZIOq6e5yb6VPO4x9+QNFfSVyX1kPSqmb3l7jFX/3L3sZLGSlJxcXH8a2SEgoIuqqhYnrAelLJ1W/TV37xRq358z/a696IBOrB1QQBdAQAQUW9IcfeTpC+Gaka5+/zo4yMU+Vbk+qyS1LnG406KHDGpaYSkX7q7S1pmZh9K6iNpZtJbkCGKisbEzEmRpLy8lioqGpPWPqqqXF+6+59au7n2vOebTu6pm07uldZ+AACoS7ITZ/tUBxRJcvcFZjaggefMktTTzLpL+ljSxZIujVtnhaSvSXrLzAol9ZZUlmRPGaV63klQZ/dMnv6Rfvbswlp1M2npz09T0/y8tPQBAECykg0pi81snCKnC7ukyyQtru8J7r7bzG6Q9IoipyCPd/eFZnZtdPmDku6SNNHM5isyPPSjJCbkZqzCwmFpnSS76rNtOu6e1xMue/47x+mIjlzTBAAQXhYZaWlgJbPmkq6TdEK09KakB9x9Rwp7S6i4uNhLSmpffh0R7q5Tfvemlq3dUmvZyOO66ydn9g2gKwAAEjOz2e5enGhZsqcg75D0u+gNIfTk7FW65Yl5CZctuetUNW+an+aOAADYNw2dgvxXd78wOhxT65CLux+Vss7QoLWbd2jImH8mXPbktceouNsBae4IAIDG09CRlJui92emuA/sgQsfnK6ZH22oXS/upP/7Vv8AOgIAoPE1FFKelzRI0s/d/fI09IM6vDR/ja6bmvjaeQvv/IZaFSQ7BxoAgMzQ0CdbMzO7QtKxZnZ+/EJ3fyo1bUGSPtu6UwPvejXhsilXD9HxPTukuSMAANKnoZByraRhktpJOitumUsipKTAyEklem1xea36aUccrAcuGxxARwAApF9DV5x9W9LbZlbi7g+lqaecNK10ra6cMCvhsnk/+zrfOAwAyDnJnoL8kJkdK6lbzee4++QU9ZUTNu/YpSPv+EfCZX++fLC+0e/gNHcEAEB4JBVSzGyKIl8AOFdSZbTskggpe+HaKbP18sJPatWP7XGgHrnmSwF0BABA+CR7SkixpL6ezOVpkdCri8p1zeTEV8ot+cnJas83DgMAECPZkLJA0sGS1qSwl6yztWK3+t3+SsJlv7mgv745uFOaOwIAIHMkG1LaS1pkZjMlVVQX3f3slHSV4a4YP1NvLF2XcNmHd58uM0tzRwAAZJ5kQ8odqWwiG/xn2XpdOm5GwmXTbjlR3dq3SnNHAABktmTP7nnDzAolHR0tzXT3talrKzPs2FWpPj99OeGy736tp24+pVeaOwIAIHske3bPhZJ+JWmaJJP0RzP7gbs/mcLeQuvGx+bo2bmrEy4r+8XpystjOAcAgH2V7HDPaElHVx89MbMOkl6TlDMhpb7hnFduOkG9D26T5o4AAMhuyYaUvLjhnU8l5aWgn1DZVVmlnqNfSrjsymO76Y6z+6W5IwAAckeyIeVlM3tF0qPRxxdJejE1LQXvmsklenVR7e/OkaT3x5ympvlZn88AAAhcvSHFzA6TVOjuP4h+C/JxisxJmS5pahr6S5vSTzbrG/e+mXDZI9cM1bE92qe5IwAAcltDR1LulfRjSXL3pxT91mMzK44ui/9m5IwVH1CKu+6vJ687NqBuAABAQyGlm7u/F1909xIz65aaloLxu4v663uPz9OSu05V86b5QbcDAEDOayikNK9nWYvGbCRo5w3spPMGcpl6AADCoqEZoLPM7Jr4opldLWl2aloCAABo+EjKTZKeNrNh+m8oKZbUTNJ5KewLAADkuHpDiruXSzrWzE6SdES0/IK7/yvlnQEAgJyW7Hf3vC7p9RT3AgAA8AWuSgYAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkAIAAEKJkJKk8vKpmj69m6ZNy9P06d1UXj416JYAAMhqTYJuIBOUl09VaekoVVVtkyRVVCxXaekoSVJh4bAgWwMAIGtxJCUJZWWjvwgo1aqqtqmsbHRAHQEAkP0IKUmoqFixR3UAALDvCClJKCjoskd1AACw7wgpSSgqGqO8vJYxtby8lioqGhNQRwAAZD9CShIKC4epd++xKijoKslUUNBVvXuPZdIsAAApxNk9SSosHEYoAQAgjTiSAgAAQimlIcXMTjWzUjNbZma3Jlj+AzObG70tMLNKMzsglT0BAIDMkLKQYmb5ku6XdJqkvpIuMbO+Nddx91+5+wB3HyDpNklvuPuGVPUEAAAyRyqPpAyRtMzdy9x9p6THJJ1Tz/qXSHo0hf0AAIAMksqQ0lHSyhqPV0VrtZhZS0mnSvpbCvsBAAAZJJUhxRLUvI51z5L077qGesxslJmVmFnJunXrGq1BAAAQXqkMKaskda7xuJOk1XWse7HqGepx97HuXuzuxR06dGjEFgEAQFilMqTMktTTzLqbWTNFgshz8SuZWVtJX5H0bAp7AQAAGSZlF3Nz991mdoOkVyTlSxrv7gvN7Nro8gejq54n6R/uvjVVvQAAgMxj7nVNEwmn4uJiLykpCboNAADQCMxstrsXJ1rGFWcBAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoEVIAAEAoNQm6gTCYMaOftm9f9MXjFi36aujQhY3+PuXlU1VWNloVFStUUNBFRUVjVFg4rNHfBwCAbJDzR1LiA4okbd++SDNm9GvU9ykvn6rS0lGqqFguyVVRsVylpaNUXj61Ud8HAIBskfMhJT6gNFTfW2Vlo1VVtS2mVlW1TWVloxv1fQAAyBY5H1LSpaJixR7VAQDIdYSUNCko6LJHdQAAcl3Oh5QWLfruUX1vFRWNUV5ey5haXl5LFRWNadT3AQAgW+R8SBk6dGGtQJKKs3sKC4epd++xKijoKslUUNBVvXuP5eweAADqYO4edA97pLi42EtKSoJuAwAANAIzm+3uxYmW5fyRFAAAEE6EFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEopDSlmdqqZlZrZMjO7tY51TjSzuWa20MzeSGU/AAAgczRJ1QubWb6k+yWdImmVpFlm9py7L6qxTjtJf5J0qruvMLODUtUPAADILKk8kjJE0jJ3L3P3nZIek3RO3DqXSnrK3VdIkruvTWE/AAAgg6QypHSUtLLG41XRWk29JO1vZtPMbLaZDU/0QmY2ysxKzKxk3bp1KWoXAACESSpDiiWoedzjJpIGSzpD0jck/dTMetV6kvtYdy929+IOHTo0fqcAACB0UjYnRZEjJ51rPO4kaXWCdda7+1ZJW83sTUn9JS1NYV8AACADpPJIyixJPc2su5k1k3SxpOfi1nlW0vFm1sTMWkoaKmlxCnsCAAAZImVHUtx9t5ndIOkVSfmSxrv7QjO7Nrr8QXdfbGYvS3pPUpWkce6+IFU9AQCAzGHu8dNEwq24uNhLSkqCbgMAADQCM5vt7sWJlnHFWQAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqEFAAAEEqElJAqL5+q6dO7adq0PE2f3k3l5VODbgkAgLRK2RcMYu+Vl09VaekoVVVtkyRVVCxXaekoSVJh4bAgWwMAIG04khJCZWWjvwgo1aqqtqmsbHRAHQEAkH6ElBCqqFixR3UAALIRISWECgq67FEdAIBsREgJoaKiMcrLaxlTy8trqaKiMQF1BABA+hFSQqiwcJh69x6rgoKukkwFBV3Vu/dYJs0CAHIKZ/eEVGHhMEIJACCncSQFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACEkrl70D3sETNbJ2l5Equ2l7Q+xe2ERa5sa65sp8S2ZqNc2U6Jbc1WqdrWru7eIdGCjAspyTKzEncvDrqPdMiVbc2V7ZTY1myUK9spsa3ZKohtZbgHAACEEiEFAACEUjaHlLFBN5BGubKtubKdEtuajXJlOyW2NVulfVuzdk4KAADIbNl8JAUAAGSwjA4pZjbezNaa2YI6lpuZ/cHMlpnZe2Y2KN09NpYktvVEM9toZnOjt5+lu8fGYGadzex1M1tsZgvN7MYE62TFfk1yW7NlvzY3s5lmNi+6rXcmWCfj92uS25kV+7SameWb2Rwzez7Bsozfp9Ua2M6s2adm9pGZzY9uR0mC5Wndp01S+eJpMFHSfZIm17H8NEk9o7ehkh6I3meiiap/WyXpLXc/Mz3tpMxuSd9393fNrI2k2Wb2qrsvqrFOtuzXZLZVyo79WiHpq+6+xcyaSnrbzF5y93dqrJMN+zWZ7ZSyY59Wu1HSYkn7JViWDfu0Wn3bKWXXPj3J3eu6Hkpa92lGH0lx9zclbahnlXMkTfaIdyS1M7ND0tNd40piW7OCu69x93ejf96syC+FjnGrZcV+TXJbs0J0X22JPmwavcVPiMv4/ZrkdmYNM+sk6QxJ4+pYJeP3qZTUduaStO7TjA4pSegoaWWNx6uUpR8CUcdEDzO/ZGb9gm5mX5lZN0kDJc2IW5R1+7WebZWyZL9GD5fPlbRW0qvunpX7NYntlLJkn0q6V9IPJVXVsTwr9qka3k4pe/apS/qHmc02s1EJlqd1n2Z7SLEEtWz9X827ilxauL+kP0p6Jth29o2ZtZb0N0k3ufum+MUJnpKx+7WBbc2a/erule4+QFInSUPM7Ii4VbJivyaxnVmxT83sTElr3X12faslqGXUPk1yO7Nin0Z92d0HKTKsc72ZnRC3PK37NNtDyipJnWs87iRpdUC9pJS7b6o+zOzuL0pqambtA25rr0TH8v8maaq7P5VglazZrw1tazbt12ru/rmkaZJOjVuUNftVqns7s2ifflnS2Wb2kaTHJH3VzB6OWycb9mmD25lF+1Tuvjp6v1bS05KGxK2S1n2a7SHlOUnDo7ORvyRpo7uvCbqpVDCzg83Mon8eosi+/TTYrvZcdBsekrTY3X9bx2pZsV+T2dYs2q8dzKxd9M8tJJ0saUncahm/X5PZzmzZp+5+m7t3cvduki6W9C93vyxutYzfp8lsZ7bsUzNrFZ3ELzNrJenrkuLPKE3rPs3os3vM7FFJJ0pqb2arJN2uyEQ1ufuDkl6UdLqkZZK2SRoRTKf7Lolt/Zak68xst6Ttki72zLxS35clXS5pfnRcX5J+LKmLlHX7NZltzZb9eoikSWaWr8gv8L+6+/Nmdq2UVfs1me3Mln2aUBbu04SydJ8WSno6mreaSHrE3V8Ocp9yxVkAABBK2T7cAwAAMhQhBQAAhBIhBQAAhBIhBQAAhBIhBQAAhBIhBUBgzGxLgtq1ZjY8+uc+Fvk21jlm1sPMLk1/lwCCQkgBECru/qC7V3/b97mSnnX3gYpc5ZKQAuQQrpMCIDBmtsXdW8fV7pC0RdIiSeMlVUpaKqmFpMMlfShpkrv/Lr3dAki3jL7iLIDs5e4vmtmDkra4+6/N7ERJt7j7mcF2BiBdGO4BAAChREgBAAChREgBkCk2S2oTdBMA0oeQAiBILc1sVY3bzfWs+56k3WY2z8y+l64GAQSHs3sAAEAocSQFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACEEiEFAACE0v8D8RQjGAu0JC0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6))\n",
    "fit = np.polyfit(rules2['lift'], rules2['confidence'], 1)\n",
    "fit_fn = np.poly1d(fit)\n",
    "plt.plot(rules2['lift'], rules2['confidence'], 'yo', rules2['lift'], \n",
    "fit_fn(rules2['lift']))\n",
    "plt.xlabel('Lift')\n",
    "plt.ylabel('Confidence')\n",
    "plt.title('Lift vs Confidence', fontsize= 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8941966f",
   "metadata": {},
   "source": [
    "### 6.3 Association rules with 20% Support and 60% confidence\n",
    "### With 20% Support"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "e00c2fd2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>support</th>\n",
       "      <th>itemsets</th>\n",
       "      <th>length</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.6</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.7</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(Harry Potter1)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.6</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.5</td>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.4</td>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(Green Mile, Sixth Sense)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.6</td>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.2</td>\n",
       "      <td>(LOTR2, LOTR1)</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.4</td>\n",
       "      <td>(Gladiator, Sixth Sense, Patriot)</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    support                           itemsets  length\n",
       "0       0.6                      (Sixth Sense)       1\n",
       "1       0.7                        (Gladiator)       1\n",
       "2       0.2                            (LOTR1)       1\n",
       "3       0.2                    (Harry Potter1)       1\n",
       "4       0.6                          (Patriot)       1\n",
       "5       0.2                            (LOTR2)       1\n",
       "6       0.2                       (Green Mile)       1\n",
       "7       0.5           (Gladiator, Sixth Sense)       2\n",
       "8       0.4             (Sixth Sense, Patriot)       2\n",
       "9       0.2          (Green Mile, Sixth Sense)       2\n",
       "10      0.6               (Gladiator, Patriot)       2\n",
       "11      0.2                     (LOTR2, LOTR1)       2\n",
       "12      0.4  (Gladiator, Sixth Sense, Patriot)       3"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequent_itemsets3 = apriori(movie_data, min_support=0.2,use_colnames=True)\n",
    "frequent_itemsets3['length'] = frequent_itemsets3['itemsets'].apply(lambda x: len(x))\n",
    "frequent_itemsets3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00fe1377",
   "metadata": {},
   "source": [
    "### Support value gives us these information:\n",
    "**Head 5**\n",
    "* 42 percent of 100 purchases are Sixth Sense\n",
    "* 24 percent of 100 purchases are Gladiator\n",
    "* 43 percent of 100 purchases are LOTR1\n",
    "* 28 percent of 100 purchases are Harry Potter1\n",
    "* 21 percent of 100 purchases are Patriot"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa5bf4d0",
   "metadata": {},
   "source": [
    "### With 60% Confidence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "8607c209",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
       "      <th>leverage</th>\n",
       "      <th>conviction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.666667</td>\n",
       "      <td>0.08</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>2.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.12</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 antecedents               consequents  antecedent support  \\\n",
       "0                (Gladiator)             (Sixth Sense)                 0.7   \n",
       "1              (Sixth Sense)               (Gladiator)                 0.6   \n",
       "2              (Sixth Sense)                 (Patriot)                 0.6   \n",
       "3                  (Patriot)             (Sixth Sense)                 0.6   \n",
       "4               (Green Mile)             (Sixth Sense)                 0.2   \n",
       "5                (Gladiator)                 (Patriot)                 0.7   \n",
       "6                  (Patriot)               (Gladiator)                 0.6   \n",
       "7                    (LOTR2)                   (LOTR1)                 0.2   \n",
       "8                    (LOTR1)                   (LOTR2)                 0.2   \n",
       "9   (Gladiator, Sixth Sense)                 (Patriot)                 0.5   \n",
       "10      (Gladiator, Patriot)             (Sixth Sense)                 0.6   \n",
       "11    (Sixth Sense, Patriot)               (Gladiator)                 0.4   \n",
       "12             (Sixth Sense)      (Gladiator, Patriot)                 0.6   \n",
       "13                 (Patriot)  (Gladiator, Sixth Sense)                 0.6   \n",
       "\n",
       "    consequent support  support  confidence      lift  leverage  conviction  \n",
       "0                  0.6      0.5    0.714286  1.190476      0.08         1.4  \n",
       "1                  0.7      0.5    0.833333  1.190476      0.08         1.8  \n",
       "2                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "3                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "4                  0.6      0.2    1.000000  1.666667      0.08         inf  \n",
       "5                  0.6      0.6    0.857143  1.428571      0.18         2.8  \n",
       "6                  0.7      0.6    1.000000  1.428571      0.18         inf  \n",
       "7                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "8                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "9                  0.6      0.4    0.800000  1.333333      0.10         2.0  \n",
       "10                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "11                 0.7      0.4    1.000000  1.428571      0.12         inf  \n",
       "12                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "13                 0.5      0.4    0.666667  1.333333      0.10         1.5  "
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rules3 = association_rules(frequent_itemsets3, metric='confidence', min_threshold=0.6)\n",
    "rules3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4fc79af2",
   "metadata": {},
   "source": [
    "* Antecedent support variable tells us probability of antecedent products alone\n",
    "* Consequents support variable tells us probability of consequents products alone\n",
    "* The support value is the value of the two products (Antecedents and Consequents)\n",
    "* Confidence is an indication of how often the rule has been found to be true.\n",
    "* The ratio of the observed support to that expected if X and Y were independent.\n",
    "* A leverage value of 0 indicates independence. Range will be [-1 1]\n",
    "* A high conviction value means that the consequent is highly depending on the antecedent and range [0 inf]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "1c208559",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
       "      <th>leverage</th>\n",
       "      <th>conviction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.666667</td>\n",
       "      <td>0.08</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>2.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.12</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      ],
      "text/plain": [
       "                 antecedents               consequents  antecedent support  \\\n",
       "7                    (LOTR2)                   (LOTR1)                 0.2   \n",
       "8                    (LOTR1)                   (LOTR2)                 0.2   \n",
       "4               (Green Mile)             (Sixth Sense)                 0.2   \n",
       "5                (Gladiator)                 (Patriot)                 0.7   \n",
       "6                  (Patriot)               (Gladiator)                 0.6   \n",
       "11    (Sixth Sense, Patriot)               (Gladiator)                 0.4   \n",
       "9   (Gladiator, Sixth Sense)                 (Patriot)                 0.5   \n",
       "13                 (Patriot)  (Gladiator, Sixth Sense)                 0.6   \n",
       "1              (Sixth Sense)               (Gladiator)                 0.6   \n",
       "0                (Gladiator)             (Sixth Sense)                 0.7   \n",
       "2              (Sixth Sense)                 (Patriot)                 0.6   \n",
       "3                  (Patriot)             (Sixth Sense)                 0.6   \n",
       "10      (Gladiator, Patriot)             (Sixth Sense)                 0.6   \n",
       "12             (Sixth Sense)      (Gladiator, Patriot)                 0.6   \n",
       "\n",
       "    consequent support  support  confidence      lift  leverage  conviction  \n",
       "7                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "8                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "4                  0.6      0.2    1.000000  1.666667      0.08         inf  \n",
       "5                  0.6      0.6    0.857143  1.428571      0.18         2.8  \n",
       "6                  0.7      0.6    1.000000  1.428571      0.18         inf  \n",
       "11                 0.7      0.4    1.000000  1.428571      0.12         inf  \n",
       "9                  0.6      0.4    0.800000  1.333333      0.10         2.0  \n",
       "13                 0.5      0.4    0.666667  1.333333      0.10         1.5  \n",
       "1                  0.7      0.5    0.833333  1.190476      0.08         1.8  \n",
       "0                  0.6      0.5    0.714286  1.190476      0.08         1.4  \n",
       "2                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "3                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "10                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "12                 0.6      0.4    0.666667  1.111111      0.04         1.2  "
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rules3.sort_values('lift',ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03ae3b03",
   "metadata": {},
   "source": [
    "### Lift Ratio > 1 is a good influential rule in selecting the associated transactions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "b39eb783",
   "metadata": {},
   "outputs": [
    {
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       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
       "      <th>leverage</th>\n",
       "      <th>conviction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>(Green Mile)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.666667</td>\n",
       "      <td>0.08</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>2.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.6</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.18</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>(LOTR1)</td>\n",
       "      <td>(LOTR2)</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.2</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.16</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>(Sixth Sense, Patriot)</td>\n",
       "      <td>(Gladiator)</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>0.12</td>\n",
       "      <td>inf</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>(Sixth Sense)</td>\n",
       "      <td>(Gladiator, Patriot)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>(Patriot)</td>\n",
       "      <td>(Gladiator, Sixth Sense)</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 antecedents               consequents  antecedent support  \\\n",
       "0                (Gladiator)             (Sixth Sense)                 0.7   \n",
       "1              (Sixth Sense)               (Gladiator)                 0.6   \n",
       "2              (Sixth Sense)                 (Patriot)                 0.6   \n",
       "3                  (Patriot)             (Sixth Sense)                 0.6   \n",
       "4               (Green Mile)             (Sixth Sense)                 0.2   \n",
       "5                (Gladiator)                 (Patriot)                 0.7   \n",
       "6                  (Patriot)               (Gladiator)                 0.6   \n",
       "7                    (LOTR2)                   (LOTR1)                 0.2   \n",
       "8                    (LOTR1)                   (LOTR2)                 0.2   \n",
       "9   (Gladiator, Sixth Sense)                 (Patriot)                 0.5   \n",
       "10      (Gladiator, Patriot)             (Sixth Sense)                 0.6   \n",
       "11    (Sixth Sense, Patriot)               (Gladiator)                 0.4   \n",
       "12             (Sixth Sense)      (Gladiator, Patriot)                 0.6   \n",
       "13                 (Patriot)  (Gladiator, Sixth Sense)                 0.6   \n",
       "\n",
       "    consequent support  support  confidence      lift  leverage  conviction  \n",
       "0                  0.6      0.5    0.714286  1.190476      0.08         1.4  \n",
       "1                  0.7      0.5    0.833333  1.190476      0.08         1.8  \n",
       "2                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "3                  0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "4                  0.6      0.2    1.000000  1.666667      0.08         inf  \n",
       "5                  0.6      0.6    0.857143  1.428571      0.18         2.8  \n",
       "6                  0.7      0.6    1.000000  1.428571      0.18         inf  \n",
       "7                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "8                  0.2      0.2    1.000000  5.000000      0.16         inf  \n",
       "9                  0.6      0.4    0.800000  1.333333      0.10         2.0  \n",
       "10                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "11                 0.7      0.4    1.000000  1.428571      0.12         inf  \n",
       "12                 0.6      0.4    0.666667  1.111111      0.04         1.2  \n",
       "13                 0.5      0.4    0.666667  1.333333      0.10         1.5  "
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lift3 = rules3[rules3.lift>1]\n",
    "lift3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6bf98c8",
   "metadata": {},
   "source": [
    "### Visualization of obtained rule"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "dfabc24d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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b4CeBO5K8ucvCJEmSZjLsZaN3A6/ad7YlyXLgfwP/q6vCJEmSZjLs00bPmnaZ6O9nMVaSJOmwGfbMyy1JNgIf72+/Bbi5m5IkSZIO7KDhJcn3A8dX1dr+qtI/CgT4InD9PNQnSZL0NIe69PMB4JsAVbW+qv59Vf0ivbMuH+i2NEmSpP0dKrycXFVfnt5YVZP0FmmUJEmaV4cKL88+yL6lh7MQSZKkYRwqvGxK8o7pjUneDmw+1C9Pcn6SrUm2Jblyhv3PTfInSe5Jcl+Sy4YdK2nxufGuHZz9/s9wypWf4uz3f4Yb79ox6pIkjcChnjb6BWBDkrfyVFiZAI4CLjrYwCRLgKuB84Dt9ILQTVV1/0C3dwL3V9Wb+u+O2ZrkemDvEGMlLSI33rWDq9ZvYeqJvQDs2D3FVeu3AHDhGStGWZqkeXbQMy9V9fWqeg3wa8BD/Z9fq6qzqur/HuJ3nwlsq6oHq+px4AbggukfARybJMBzgMeAPUOOlbSIrNu49cngss/UE3tZt3HriCqSNCrDrm30WeCzs/zdK4CHB7a3A6+e1ueDwE3ATuBY4C1V9d0kw4wFIMkaYA3AypUrZ1mipFbs3D01q3ZJ46vLt+Rmhraatr0auBs4AXgF8MEk/2zIsb3GqmuraqKqJpYvX/7Mq5W0oJ2wbOZnBA7ULml8dRletgMnDWyfSO8My6DLgPXVsw34KvDiIcdKWkTWrl7F0iOXPK1t6ZFLWLt61YgqkjQqXYaXTcBpSU5JchRwCb1LRIO+BrwOIMnxwCrgwSHHSlpELjxjBe+7+GWsWLaUACuWLeV9F7/Mm3WlRWjYtY1mrar2JLkC2AgsAa6rqvuSXN7ffw3wXuAjSbbQu1T0S1X1KMBMY7uqVVIbLjxjhWFFEqma8VaSJk1MTNTk5OSoy5AkSYdBks1VNTG9vcvLRpIkSYed4UWSJDXF8CJJkppieJEkSU0xvEiSpKYYXiRJUlMML5IkqSmGF0mS1BTDiyRJaorhRZIkNcXwIkmSmmJ4kSRJTTG8SJKkphheJElSUwwvkiSpKYYXSZLUFMOLJElqiuFFkiQ1xfAiSZKaYniRJElNMbxIkqSmGF4kSVJTDC+SJKkphhdJktQUw4skSWqK4UWSJDXF8CJJkppieJEkSU0xvEiSpKYYXiRJUlMML5IkqSmGF0mS1BTDiyRJaorhRZIkNcXwIkmSmtJpeElyfpKtSbYluXKG/WuT3N3/uTfJ3iTP7+97KMmW/r7JLuuUJEntOKKrX5xkCXA1cB6wHdiU5Kaqun9fn6paB6zr938T8ItV9djArzm3qh7tqkZJktSeLs+8nAlsq6oHq+px4AbggoP0vxT4eIf1SJKkMdBleFkBPDywvb3ftp8kRwPnA58YaC7g1iSbk6zprEpJktSUzi4bAZmhrQ7Q903AF6ZdMjq7qnYmeQFwW5IHqur2/T6kF2zWAKxcuXKuNUuSpAWuyzMv24GTBrZPBHYeoO8lTLtkVFU7+38+AmygdxlqP1V1bVVNVNXE8uXL51y0JEla2LoML5uA05KckuQoegHlpumdkjwXeC3wyYG2Y5Icu+/vwOuBezusVZIkNaKzy0ZVtSfJFcBGYAlwXVXdl+Ty/v5r+l0vAm6tqm8PDD8e2JBkX40fq6pbuqpVkiS1I1UHug2lPRMTEzU56SthJEkaB0k2V9XE9HbfsCtJkppieJEkSU0xvEiSpKYYXiRJUlMML5IkqSmGF0mS1BTDiyRJaorhRZIkNcXwIkmSmmJ4kSRJTTG8SJKkphheJElSUwwvkiSpKYYXSZLUFMOLJElqiuFFkiQ1xfAiSZKaYniRJElNMbxIkqSmGF4kSVJTDC+SJKkphhdJktQUw4skSWqK4UWSJDXliFEXIElaXG68awfrNm5l5+4pTli2lLWrV3HhGStGXZYaYniRJM2bG+/awVXrtzD1xF4Aduye4qr1WwAMMBqal40kSfNm3catTwaXfaae2Mu6jVtHVJFaZHiRJM2bnbunZtUuzcTwIkmaNycsWzqrdmkmhhdJ0rxZu3oVS49c8rS2pUcuYe3qVSOqSC3yhl1J0rzZd1OuTxtpLgwvkqR5deEZKwwrmhMvG0mSpKYYXiRJUlMML5IkqSmGF0mS1JROw0uS85NsTbItyZUz7F+b5O7+z71J9iZ5/jBjJUnS4tRZeEmyBLgaeANwOnBpktMH+1TVuqp6RVW9ArgK+HxVPTbMWEmStDh1eeblTGBbVT1YVY8DNwAXHKT/pcDHn+FYSZK0SHQZXlYADw9sb++37SfJ0cD5wCeewdg1SSaTTO7atWvORUuSpIWty/CSGdrqAH3fBHyhqh6b7diquraqJqpqYvny5c+gTEmS1JIuw8t24KSB7ROBnQfoewlPXTKa7VhJkrSIdBleNgGnJTklyVH0AspN0zsleS7wWuCTsx0rSZIWn87WNqqqPUmuADYCS4Drquq+JJf391/T73oRcGtVfftQY7uqVZIktSNVB7oNpT0TExM1OTk56jIkSdJhkGRzVU1Mb/cNu5IkqSmGF0mS1BTDiyRJaorhRZIkNcXwIkmSmmJ4kSRJTTG8SJKkphheJElSUwwvkiSpKYYXSZLUFMOLJElqiuFFkiQ1xfAiSZKaYniRJElNMbxIkqSmGF4kSVJTDC+SJKkphhdJktQUw4skSWqK4UWSJDXF8CJJkppyxKgLkKRhvfo3b+Pr33z8ye3jjz2KO9593ggrkjQKnnmR1ITpwQXg6998nFf/5m0jqkjSqBheJDVhenA5VLuk8WV4kSRJTTG8SJKkphheJDXh+GOPmlW7pPFleJHUhDvefd5+QcWnjaTFyUelJTXDoCIJPPMiSZIaY3iRJElNMbxIkqSmGF4kSVJTDC+SJKkphhdJktSUTsNLkvOTbE2yLcmVB+hzTpK7k9yX5PMD7Q8l2dLfN9llnZIkqR2dveclyRLgauA8YDuwKclNVXX/QJ9lwO8C51fV15K8YNqvObeqHu2qRkmS1J4uz7ycCWyrqger6nHgBuCCaX1+ClhfVV8DqKpHOqxHkiSNgS7Dywrg4YHt7f22QT8APC/J55JsTvK2gX0F3NpvX9NhnZIkqSFdLg+QGdpqhs//YeB1wFLgi0n+qqr+Gji7qnb2LyXdluSBqrp9vw/pBZt94eZbSbYevik86Thg3C9fLYY5wuKYp3McD85xPDjHuXnhTI1dhpftwEkD2ycCO2fo82hVfRv4dpLbgR8C/rqqdkLvUlKSDfQuQ+0XXqrqWuDaDup/UpLJqpro8jNGbTHMERbHPJ3jeHCO48E5dqPLy0abgNOSnJLkKOAS4KZpfT4J/PMkRyQ5Gng18JUkxyQ5FiDJMcDrgXs7rFWSJDWiszMvVbUnyRXARmAJcF1V3Zfk8v7+a6rqK0luAb4MfBf4cFXdm+RFwIYk+2r8WFXd0lWtkiSpHV1eNqKqbgZuntZ2zbTtdcC6aW0P0rt8tFB0ellqgVgMc4TFMU/nOB6c43hwjh1I1fR7aCVJkhYulweQJElNWfTh5VBLGCR5a5Iv93/+MskPDTt2oZjjHJtYpmGIOV7Qn9/dSSaT/OiwYxeKOc5xLI7jQL9XJdmb5M2zHTtqc5zjWBzH/rIw/9Cfx91JfmXYsQvFHOc4Fsex3+dAS/x0exyratH+0LuR+G+AFwFHAfcAp0/r8xrgef2/vwG4Y9ixC+FnLnPsbz8EHDfqeRyGOT6Hpy6Tvhx4YAyP44xzHKfjONDvM/Tup3vzuB3HA81xnI4jcA7wp8/0n8+of+YyxzE7jsuA+4GV/e0XzNdxXOxnXg65hEFV/WVV/b/+5l/Re1/NUGMXiLnMsRXDzPFb1f9WAcfw1AsTx+k4HmiOrRj2WLwL+ATwyDMYO2pzmWMr5nIsxu04tmwuS/x0/s9nsYeXYZYwGPR24M+e4dhRmcscoY1lGoaaY5KLkjwAfAr4d7MZuwDMZY4wJscxyQrgIuBpTy0OM3aBmMscYUyOY99ZSe5J8mdJfnCWY0dtLnOE8TmOB1rip/Pj2Omj0g0YZgmDXsfkXHr/x77vPoKhx47YXOYIQy7TMGJDzbGqNtB7f9CPAe8F/sWwYxeAucwRxuc4fgD4paramzyt+zgdxw8w8xxhfI7jl4AXVtW3kvwEcCNw2pBjF4K5zBHG5zjOuMTPkGPnZLGfeRlmCQOSvBz4MHBBVf39bMYuAHOZIzWwTAOwb5mGhWZWx6L/PxKnJjlutmNHaC5zHKfjOAHckOQh4M3A7ya5cMixC8Fc5jg2x7GqvlFV3+r//WbgyHH7Ph5kjmNzHPt9bqmqb1fVo/SW8PmhIcfOzXzd/LMQf+ilxgeBU3jqpqIfnNZnJbANeM1sxy6EnznO8Rjg2IG//yVw/qjn9Azn+P08dTPrK4Ed9P7rYJyO44HmODbHcVr/j/DUDbtjcxwPMsexOY7A9w78u3om8LUx/D4eaI7jdBxfAny63/doesv4vHQ+juOivmxUQyxhAPwK8D30/usHYE9VTRxo7EgmchBzmSNwPA0s0zDkHP818LYkTwBTwFuq9+0bp+M44xyTjNNxnNXY+ah7NuYyR8br+/hm4OeS7KH37+olY/h9nHGO4/R9rAMs8QPQ9XH0DbuSJKkpi/2eF0mS1BjDiyRJaorhRZIkNcXwIkmSmmJ4kSRJTTG8SJo3Sd7dX3123+rXrx5RHb+Q5OhRfLakufNRaUnzIslZwG8D51TVd/pvGz2q+m8bncc69q14O1G9t4JKaoxnXiTNl+8DHq2q7wBU1aPVW9/loX2vTU8ykeRz/b+/J8kfJvlMkv+T5B399nOS3J5kQ5L7k1yT5Fn9fZcm2ZLk3iS/te+Dk3wrya8nuQN4N3AC8Nkkn53XfwKSDgvDi6T5citwUpK/TvK7SV47xJiXA/8SOAv4lSQn9NvPBP4D8DLgVODi/r7fAn4ceAXwqn1rAtF7Dfu9VfXqqvp1euusnFtV5x6eqUmaT4YXSfOieovU/TCwBtgF/FGSnznEsE9W1VT/8s5neWoBuzur6sGq2gt8nN5K6K8CPldVu6pqD3A98GP9/nuBTxzWCUkamUW9tpGk+dUPG58DPpdkC/DTwB6e+g+pZ08fcoDtmdpzkI/+p/5nSxoDnnmRNC+SrEpy2kDTK4C/BR6id0YGeotLDrogybOTfA9wDrCp335mklP697q8BfgL4A7gtUmO69+Ueynw+QOU803g2LnNSNKoeOZF0nx5DvA/kiyjd7ZlG71LSC8Bfj/JL9MLIIPuBD4FrATe27/B9weALwLvp3fPy+3Ahqr6bpKr6F1eCnBzVX3yALVcC/xZkr/zvhepPT4qLWlBSvIe4FtV9d+mtZ8D/MeqeuMIypK0AHjZSJIkNcUzL5IkqSmeeZEkSU0xvEiSpKYYXiRJUlMML5IkqSmGF0mS1BTDiyRJasr/B41Pv3lL00+vAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6))\n",
    "plt.scatter(rules3['support'],rules3['confidence'])\n",
    "plt.xlabel('Support')\n",
    "plt.ylabel('Confidence') \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "88634562",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>consequents</th>\n",
       "      <th>(Sixth Sense)</th>\n",
       "      <th>(Gladiator)</th>\n",
       "      <th>(Patriot)</th>\n",
       "      <th>(LOTR1)</th>\n",
       "      <th>(LOTR2)</th>\n",
       "      <th>(Gladiator, Patriot)</th>\n",
       "      <th>(Gladiator, Sixth Sense)</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>antecedents</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>(Gladiator)</th>\n",
       "      <td>1.190476</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>1.190476</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.111111</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Patriot)</th>\n",
       "      <td>1.111111</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Green Mile)</th>\n",
       "      <td>1.666667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR2)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(LOTR1)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Sixth Sense)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.333333</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Gladiator, Patriot)</th>\n",
       "      <td>1.111111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Sixth Sense, Patriot)</th>\n",
       "      <td>NaN</td>\n",
       "      <td>1.428571</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "consequents               (Sixth Sense)  (Gladiator)  (Patriot)  (LOTR1)  \\\n",
       "antecedents                                                                \n",
       "(Gladiator)                    1.190476          NaN   1.428571      NaN   \n",
       "(Sixth Sense)                       NaN     1.190476   1.111111      NaN   \n",
       "(Patriot)                      1.111111     1.428571        NaN      NaN   \n",
       "(Green Mile)                   1.666667          NaN        NaN      NaN   \n",
       "(LOTR2)                             NaN          NaN        NaN      5.0   \n",
       "(LOTR1)                             NaN          NaN        NaN      NaN   \n",
       "(Gladiator, Sixth Sense)            NaN          NaN   1.333333      NaN   \n",
       "(Gladiator, Patriot)           1.111111          NaN        NaN      NaN   \n",
       "(Sixth Sense, Patriot)              NaN     1.428571        NaN      NaN   \n",
       "\n",
       "consequents               (LOTR2)  (Gladiator, Patriot)  \\\n",
       "antecedents                                               \n",
       "(Gladiator)                   NaN                   NaN   \n",
       "(Sixth Sense)                 NaN              1.111111   \n",
       "(Patriot)                     NaN                   NaN   \n",
       "(Green Mile)                  NaN                   NaN   \n",
       "(LOTR2)                       NaN                   NaN   \n",
       "(LOTR1)                       5.0                   NaN   \n",
       "(Gladiator, Sixth Sense)      NaN                   NaN   \n",
       "(Gladiator, Patriot)          NaN                   NaN   \n",
       "(Sixth Sense, Patriot)        NaN                   NaN   \n",
       "\n",
       "consequents               (Gladiator, Sixth Sense)  \n",
       "antecedents                                         \n",
       "(Gladiator)                                    NaN  \n",
       "(Sixth Sense)                                  NaN  \n",
       "(Patriot)                                 1.333333  \n",
       "(Green Mile)                                   NaN  \n",
       "(LOTR2)                                        NaN  \n",
       "(LOTR1)                                        NaN  \n",
       "(Gladiator, Sixth Sense)                       NaN  \n",
       "(Gladiator, Patriot)                           NaN  \n",
       "(Sixth Sense, Patriot)                         NaN  "
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix3 = lift3.pivot('antecedents','consequents','lift')\n",
    "matrix3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "ce17c84b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5bM5RmpnZQtfG77lycrXwPZ8SiRWAcRExE5gpaVa6TyiAEcBJETFR0trAJpIOJqsIPZn282pKYiaQJS+zU3XmWknTgFOBuvoWmhXpgQSSdknH3rdEuw9IiVFE/JssCXy+qM2ywJWSlgFWBF4mSwJfSO+X+qTVF7hAUheyRHGlEu+/nGJ8X9LSafvUOhIrgNuAuyUdFRF3pG31laGGAxcUblhssaWr5qalwYN348orz+WQQ37OAw88lnc41kZ8/vkX7LjlngtsO/jQfRmw9aYcNeSXTBg/KafIzMzM8uPkauGrTec/AfoUDEnrmJKlS4FbI6I2EXkTGBMRNwJI6gD0IkvCaklSe+COiLhF0q+BPevo2x1oX9B3oqTuEfFxRNwraU/gEOYPT6z1L+AcSX0j4n1lY+baF7U5AHgoIi5PlSuRVaZ2Te9vXOJ6HA1cGhH3Sfpr6jO7YN/vAxukStwqwGdF17GUfYGDI6LwXrLZdVStqE1wC7d17tynnt23nq5du7Daan3nrfft25v111+bqVM/Y8KEDzjjjBNZaaWeHHbY8UCWWF199QWccMLpPPvsS/TosQIAM2Z8zfTpn+dxClbFunTtTN9+q8xb771KL9Zed00+mzqNDyZ9xIm/OYaeK/bg+KNPISL4z5sL/n3jf59MYebXM7+x3czM2pAqeR5Va3FylZN0L9JZzL9v6VRJvYGhwHqSjiAb/ncVcJWkoand+UCpObaXJKvWtCNLvPYDppToez/QWdKdZMMV7yYbZndLajOe7D6m4nhnSToUuELS4sBc4MaiZo8CN0ramey+p7ER8byk6ZJGkyVoxe4BLpR0GPN/Hl8BhqcYh6YY/5nO65gS+yi2VDoPACT1B8Y0ol/uvvOd9XnoodvmrZ9zTva8qxtvvIPDDz+Bnj2707v3/OLeoYfuT4cOHbj44j9w8cV/mLe9tr1ZU6y/wTrc9vdr563/9swTAbjjL3dzws9+Q/ceK7BSr555hWdmZtWgjQ8LVDYvgbVVqXJ2dUQclNZ7ADdHxA75RtZ8ku4CfhkR76b1i4DzI2JCY/fRuXMf/2K0wIwZnuCgufost37eIVS1cZ+OzTsEM7M8VMwsXDNffbjVPkN1WnfHijnPurhy1calIXEHFaxPljRJ0i0RsX+OoTVLmjHxa7LhhEA27Xte8ZiZmZm1KR4WaLagiDgk7xiaKz3nyszMzMxsoXNyZWZmZmZmZVHH/GFtRru8AzAzMzMzM1sUuHJlZmZmZmbl0cZnC3RyZWZmZmZm5dHGJ7TwsEAzMzMzM7MycOXKzMzMzMzKo40PC3TlyszMzMzMrAxcuTIzMzMzs/Ko8VTsZmZmZmZm1kKuXJmZmZmZWXm08XuunFyZmZmZmVl5eCp2MzMzMzMzaylXrszMzMzMrDza+LBAV67MzMzMzMzKwJUrMzMzMzMrD99zZWZmZmZmZi3lypWZmZmZmZWHK1dmZmZmZmbWUq5cmZUwY8a4vEOoap0798k7hKo1e+6cvEMws2ZarGOvvEOoWnNmTco7BCuTiLl5h5ArJ1dmZmZmZlYeHhZoZmZmZmZmLeXKlZmZmZmZlYcfImxmZmZmZrZokjRMUki6qJ42g1Kb4uXbTTmWK1dmZmZmZlYeFXbPlaRNgMOBsY3ssiYwvWD9k6Ycz5UrMzMzMzNb5EhaArgZ+AkwtZHdPo6IjwqWJk1/6OTKzMzMzMzKI2pabZHUSdJSRUuneqL5E3BvRDzShDN4SdKHkh6VtG1TT9/JlZmZmZmZlUdNTestMAyYVrQMKxWGpP2Ajep6v4QPyYYP7gXsCbwFPCppYFNO3/dcmZmZmZlZNRgOXFC0bWZxI0m9gYuBnSLi68bsOCLeIkuoao1J+zkBGN3YAJ1cmZmZmZlZebTiVOwRMZMSyVQJGwHdgRck1W5rDwyU9DOgUyPvpXoGOLApMTq5MjMzMzOzRcmjwHpF264D3gTObsIkFRuSDRdsNCdXZmZmZmZWHhUwFXtEfA68WrhN0pfApxHxalofDvSKiIPT+nHA+8BrQEeyitVeaWk0J1dmZmZmZtbWrAisUrDeETgP6AXMIEuydomI+5qyUydXZmZmZmZWHhVQuSolIgYVrQ8pWj8HOKelx3FyZWZmZmZm5dGKE1pUAz/nyszMzMzMrAxcuTIzMzMzs/Ko0GGBC4srV2ZmZmZmZmXgypWZmZmZmZWH77kyM1s0bLnlptx55zW8++6zzJgxjh/8YKd62++++3f5xz9uYvz4F5k8+VVGjbqLHXYYuJCirTxbb7UZf7vresa//wJzZk1it912rrd9z57dufGGy3jt1dHM+noC5593+kKK1MwK+XfXrHI4uTKzRUbXrl145ZU3+MUvftuo9ltttSmPPfYkP/zhELbYYleeeOJpRo68hv7912nlSCtT165dGDv2dY457tRGte/UqSOffPIpw8+6hJfHvt7K0ZlZXfy7axWlpqb1lirgYYHNJEnA34FuwO4RMSXneLoBO0XE7Wl9ceDPEXFIWhfwAPC/iDhA0pDU9SbgOqAP0Am4JiKukvTniDiijmPtATwdER+n/SwREZfV0bZ32n8HoDNwdEQ8X4ZTLj7OqIgYJGkgcBHwx4i4syCG4yPiF+U+rlWWhx4axUMPjWp0+1/96owF1k877Vx23XUnvv/97Xn55dfKHF3le+DBx3ngwccb3X7cuIkc/8vTABh6yL6tFZaZNcC/u2aVw5Wr5usJ1ETE1oWJlaS8rmk3YHDB+r5A4ROlewJzI+KAon47Ax9FxMCI2Ay4A6CuxCrZA+jeyLiOAS6MiG2ALYC3GtmvWSJiNHAgWYy12yYAPVMCalYnSSy5ZFemTp2WdyhmZmbVKWpab6kCTq6a72JgC0l3SBok6R+S/g4cJGl/Sf9Ky3cltZc0Ki1vSjpf0uKSbpL0mKS/S1pKUl9JT0saKWmspB0AJF0n6UlJo1Obb/QFjgK2ScdYE9gdeKog3k7AlwXrd6XlK2B9SasARMTUdMzn09czJR0kqYukpyRtAnwXuE7S8LSv7STdK+k5SSsVXaevgK0kdYuIORHxedrvryU9kc5pvbTtRUlXpus2LG07StKzqe0P6+oLHFx0zMWL4niSLJH8Bkmd0vWft8ycObNUU1vEHXfc4XTp0oWRI/+RdyhmZmbVqY0PC3Ry1XwnAk9ExD5pfSmyhOYm4GRgILAjcGZEzI2IQWTVlA+BC4HDgMciYjtgBHB42s9yZFWnvYCjJXUA1gIGRsRAYHwdfa9I8QyKiLeAVdOxavUG5v05PiKmpeVx4G7g9pTQbVZ0nqcDhwJXA+dGxHNkwwuHRsSw1OaziNgFuArYu6j/uUB7YIykByR1TwnRmqmaNRioHZvVDRgODAD2S9v2BXZMbe+uq29EjC845nSgV1Ec7wJrU9qwdG3mLcOHD6+jqS2qBg/ejVNOOY6DDvopn3zyad7hmJmZWRXyPVfl83xEhKQVgHERMROYKWmWpMWAIEuEToqIiZLWBjaRdDDZ/UhPpv28GhFzJE0AlomI2ZIuAa6VNA04lSxJKNW30KyIrH4qaZd07JIDqyPicuBySd8iS6IGFrw3S9JtwDERsX8d5/5S+joBWCA5i4gvyBLREyUNBX6R2m8haVRqNjd9nRoR41LMM9K2E4Hz0jU8iyzRLNW38JhTJE2R9ExEbJ42q47YIUvoLijcMGzYMI8La0P23ntXrrjiHA444Ggef/yfeYdjZmZWvaqkwtRanFyVT+1P0idAH0mdyIbidUzJ0qXArRHxbGr3JjAmIm4ESBWqXmRJWC1Jag/cERG3SPo1sGcdfbuTVYhqTZTUPSI+joh7Je0JHAI8yoIHWBGYHhFfAv8rPilJywM/AkZKOjQirgFmFx1rgZiL+q8GvJcSvY+Bb6f4n4iIwwriL95PrVci4ieStgBOIpusolTfwmMuR1YBHFCwuR/wRon9U5sIl3rPFn2DB+/GlVeeyyGH/JwHHngs73DMzMysijm5KrOImCvpLGB02nRqmq1uKLCepCOAO8mG0F2VqjkA5wOlpidbkmw4XDuy5GM/YEqJvvcDnSXdSVbtuRvYAbgltRkPLF1i/72BiyTNJvt5OKXo/T+RJTXPAg9KeiQd6yJJDwIfNXBJtgX+IukrYBYwJCI+kPS2pCfIktKHgT/W0f9KSX2BJYBfRcTYRvRdEpgYEYXJ2kCy+9JsEda1axdWW63vvPW+fXuz/vprM3XqZ0yY8AFnnHEiK63Uk8MOOx7IEqurr76AE044nWeffYkePVYAYMaMr5k+/fM8TiFXXbt2YfXV+81b79d3Ffr3X4cpU6YyYcIHnPmHk1lppRUZ+uNj57Wpnba+6xJdWWGFZenffx1mzZrFG2+8vdDjN2ur/LtrFSVK/a287VC08QuwqEqVs6sj4qC03gO4OSJ2yDey1iepP/DLiDg4rfdO68c1YTf+xWiBzp375HLcrbfenIceuu0b22+88Q4OP/wErrrqPPr0WZmdd85u6XvwwVsZOHBAne3zMHvunFyOC7DNwAE8+sid39g+4obbOfSwX3DN1RfSt8/KbL/jPvPemzNr0jfav//+BFb/1ubf2L4wlIrHbGFZrGPx7b4Lh393jfpvf1ioZtx2eqt9huq872kVc551cXLVhkgaAXSo596pqqfsOVd/BE6PiIdbsCv/YrRAXsnVoiDP5GpR4A9olqe8kqtFgX93W6xiko4Zfzmt9ZKrH51eMedZFw8LbENqHyi8KEvPudoq7zjMzMzM2qQ2PqGFp2I3MzMzMzMrA1euzMzMzMysPMKVKzMzMzMzM2shV67MzMzMzKw8fM+VmZmZmZmZtZQrV2ZmZmZmVh5t/DFPTq7MzMzMzKw8PCzQzMzMzMzMWsqVKzMzMzMzKw9XrszMzMzMzKylXLkyMzMzM7Py8EOEzczMzMzMrKVcuTIzMzMzs7KImrY9FbsrV2ZmZmZmZmXgypWZmZmZmZVHG58t0MmVmZmZmZmVhye0MDMzMzMzs5Zy5crMzMzMzMrDE1qYmZmZmZlZS7lyZVbCYh175R1CVeu15HJ5h1C1xn06Nu8QzKyZ5syalHcIVavH0t/OO4SqNnnam3mHMF8bn9DClSszMzMzM7MycOXKzMzMzMzKo41XrpxcmZmZmZlZeYQntDAzMzMzM7MWcuXKzMzMzMzKo40PC3TlyszMzMzMrAxcuTIzMzMzs/LwQ4TNzMzMzMyspVy5MjMzMzOz8oi2fc+VkyszMzMzMysPDws0MzMzMzNbNEkaJikkXdRAu20kvSDpa0nvSjqyqcdy5crMzMzMzMoiKmwqdkmbAIcDYxto1w+4D/g/4EBgS+BySZ9ExMjGHs+VKzMzMzMzW+RIWgK4GfgJMLWB5kcC4yPiuIh4IyKuBq4FTmjKMZ1cmZmZmZlZedREqy2SOklaqmjpVE80fwLujYhHGhH5AOChom0PAhtL6tDY03dyZWZmZmZm1WAYMK1oGVaqoaT9gI3qer+EnsDkom2TyW6jWr6xAfqeKzMzMzMzK4/WnYp9OHBB0baZxY0k9QYuBnaKiK+bsP/iqQ5Vx/Y6ObkyMzMzM7OKFxEzKZFMlbAR0B14QarNj2gPDJT0M6BTRMwt6vMRWfWqUHdgDvBpY2N0cmVmZmZmZuVRGc+5ehRYr2jbdcCbwNklEiuAMcAPirbtBDwfEbMbe2Dfc2VWQbbeajP+dtf1jH//BebMmsRuu+1cb/uePbtz4w2X8dqro5n19QTOP+/0hRRpZdp0wEZcc/OlPPvaI4z7dCw7fX/bRvfdeNMN+O/kF7lv1O2tGKGZmVWazbfYmBtvvYKX3xzN5Glv8r1dtq+3/aabf4d7HryFN957hvc/+jdPPXcfRxx9yEKKtgrU1LTe0kgR8XlEvFq4AF8Cn6bXSBou6YaCblcCfSRdIGktST8GDgXOa8rpO7kyqyBdu3Zh7NjXOea4UxvVvlOnjnzyyacMP+sSXh77eitHV/m6dOnMG6+9xW9PGt6kfksuuQQXXH4m/xz9r1aKzMzMKlWXLp157dU3Gfar3zeq/VdfzeDaq25mj+8dyNab7sKF517Byacey0FDBrdypFZmKwKr1K5ExHvA94FBwL+B3wDHNOUZV+BhgWYV5YEHH+eBBx9vdPtx4yZy/C9PA2DoIfu2VlhVY9SjTzHq0aea3O+PF/yGu0fex9y5NU2qdpmZWfV77JEneeyRJxvd/tWxb/Dq2DfmrU8YP4lddtuRzQZsxI3Xe/RDhQwL/IaIGFS0PqREmyeA77TkOK5cVRhl7pH0pKRlc46lm6TBBeuLSxpRsC5JD0q6Oa0PkTQkvf5c0ihJz0narI79byBp0zreOzk9KbsxcY1KXwdKelHS3gXv9ZZ0YVPO29qWffbfnT79enPROVfmHYqZmVWhdddfi0023ZAx/3wu71CsArhyVXl6AjURsXXtBkntIlp3Xss6dAMGA7V/htkXuK/g/Z7A3Ig4oETftyJikKSNgLOAHUu02QBYAni2cGM637OaEBcAETFa0oHAr4E707YJknpK6hYRn9WzT2uD+q66Cif95jj22XUIc+eWurfVzMystJdeH8Vyyy/LYou159zhl3HzDXfmHVJlyOUja+VwclV5Lga2kPQJ8C+gBhgpaTZwbGpzGvAw2UwokCU59wKnAFcDKwFfAAcCywK3AB8CawDHR8Qjkq4DViebt/9gsukni/seBWyTKkNHALsDPy+ItRPZzYG17ipxPq8CK0vakSzpWQIYmZKno4BlJe2SXt+Y4nhO0tpkNxC+CdwA9ErHKhXXwQXH+wpYvCiGJ4GdgdtKxEd6svcCT/dut9iKFEzdaYugdu3acclVZ3Hh2Zfz3n/H5R2OmZlVmd2/dwBdu3Zlo036c8rvfsn7747nrpH35h2W5czJVeU5kSypuAw4A9iGbPjmS8AmZEnA4xHxADBIUjeypOZC4DDgsYi4VtJewOFkFZzlgIFAP+BsSU8AawEDIiIktQOOLtH3CmC1iNgbQNKqZElard5kT8YGICKm8U1bA28B/4yIbZVlLGMkXZz2v0REXCapL1lit31EzJJ0fer/Q2B8ROwv6SCy5G6BuIpMJ0vECr0LDCjRttYwsoR1nqj5HLVfqp4uVu2WWKIr/Tdcl3XW+zZnnJ09vL1du3a0a9eO/05+kYP2PpKnn3y2gb2YmVlbNX7cJADeeP0/rLDCcpww7GdOrqBi77laWJxcVbbnU/KzAjCu9sFpkmZJWoys6jQCOCkiJqZqzyaSDgY6kFVsAF6NiDmSJgDLRMRsSZcA10qaBpwK1NW30Kza4Ymp2jSCbKhgKWumytIMsorbhpJOT/teleyhbMVejohZRdtWA2oHMT9H9ryBOkXEFElTJD0TEZunzQ2VoL7xtG+1W7JUomiLkM8//4Idt9xzgW0HH7ovA7belKOG/JIJ4yflFJmZmVUdiY4dO+YdRUWIJkyZvihyclXZan86PyGbd792+FrHlCxdCtwaEbV/Xn8TGBMRNwJI6kBWxSn8E4IktQfuiIhbJP0a2LOOvt3JnmZda6Kk7hHxcUTcK2lP4BDmD08s9FbhrCySzgeOScd5lizhmV20/1K/je+QVexGpq9vl+hXeHLLkVXqCitV/YA3SrWH0k/7XqxjcfFr4ejatQurrz5/Ho9+fVehf/91mDJlKhMmfMCZfziZlVZakaE/PnZem/7918n6LtGVFVZYlv7912HWrFm88cbbCz3+vHXp2pm+/ebNqkrvVXqx9rpr8tnUaXww6SNO/M0x9FyxB8cffQoRwX/efGeB/v/7ZAozv575je1mZrbo6tK1C/1Wnf9vxyp9Vmad9b7NZ1OnMWnih5xy2vH0XLE7Pz/yZACGHrY/kyZ+yNv/eReAzQZsxNE//zHXXHVTLvFbZXFyVQUiYq6ks4DRadOpknoDQ4H1JB1BNvzvKuAqSUNTu/OB10rsckng7jQcMID9gCkl+t4PdJZ0J9lwxbuBHcju4QIYDyzdyNMYSXbP02vMv09rDHCDpI3JniVQyt+APSWNTv0OAD4rjCsi3i06t4kRUZhQDiS7T6vibbxRfx59ZP4Nseef9zsARtxwO4ce9gt69uzBKr1XWqDPC889tED//X+0J++/P4HVv7U5bc36G6zDbX+/dt76b888EYA7/nI3J/zsN3TvsQIr9eqZV3hmZlaBNthwXe66d/6zZM8Yng0Vv/Xmuzj26GF077ECvVae/29vu3btOOW0X7BKn5WZM2cu778/nj+cfj43XFvy1u62p40PC9SCn0HN6pYqZ1dHxEFpvQdwc0TskG9k80nqD/wyIg5O673T+nFN2c9iHXv5F6MFei25XN4hVK1xn47NOwQzs4Wux9LfzjuEqjZ52psVMwvXFyft2WqfoZY4+68Vc5518XOurNEiYmZtYpXWJwOTJN1ST7eFRtJA4E9ksw4C2VTsTU2szMzMzKyZaqL1lirgYYHWIhFxSN4x1IqI0cBWecdhZmZmZm2TkyszMzMzMysPP0TYzMzMzMysDKpk+F5r8T1XZmZmZmZmZeDKlZmZmZmZlUW4cmVmZmZmZmYt5cqVmZmZmZmVhytXZmZmZmZm1lKuXJmZmZmZWXnUtO2p2F25MjMzMzMzKwNXrszMzMzMrDza+D1XTq7MzMzMzKw82nhy5WGBZmZmZmZmZeDKlZmZmZmZlUWEK1dmZmZmZmbWQq5cmZmZmZlZefieKzMzMzMzM2spV67MzMzMzKw82njlysmVmZmZmZmVRTi5MrNi31l+9bxDqGrPfvBE3iGYmVkVmTztzbxDMCsLJ1dmZmZmZlYebbxy5QktzMzMzMzMysCVKzMzMzMzK4+avAPIlytXZmZmZmZmZeDKlZmZmZmZlYVnCzQzMzMzMyuHNp5ceVigmZmZmZlZGbhyZWZmZmZm5eEJLczMzMzMzKylXLkyMzMzM7OyaOsTWrhyZWZmZmZmVgauXJmZmZmZWXn4niszMzMzMzNrKVeuzMzMzMysLNr6PVdOrszMzMzMrDw8LNDMzMzMzMxaypUrMzMzMzMri3DlyszMzMzMzFrKlSuzCrLhZutz4NE/4tvrfYsVei7Pr358Ck888FSd7X974cnsuu/3vrH93bfeY79th7RipGZmZmYluHJlZpVi8S6defu1dzj3lIsa1f78317K9/r/cN6y60Z7M23KNB79x6hWjdPMzMysUkk6StJYSdPTMkbSN/8aPb/9IElRYvl2U4/typVZBRnz+L8Y8/i/Gt3+y8+/5MvPv5y3vs13t2LJbktyz633t0Z4ZmZmZvWqkHuuJgInA++k9UOAuyVtGBGv1dNvTWB6wfonTT2wK1dlosw9kp6UtGwFxNNN0uCC9cUljShYl6QHJd2c1odIGpJery3pPkmjJD0l6ehWjvV6SaMK1k+U9ElBXAMk9ZV0Zz37+J2kQen1g5JuLXp/hKSurXICFWS3H+3Cs0++wEeTJucdipmZmbVFNa24NFJE3BMR90XEf9JyCvAFsHkDXT+OiI8KlrmNP2rGyVX59ARqImLriJhSu1FSXte4GzC4YH1f4L6C9Z7A3Ig4oLCTpI7ANcDRETEI2Bp4taiNJKnM8S4uqUd6vSUwASAiro+IMU3ZUUTsDPST1KFg81+BA8sSaYVarvuyDNh2U/5+y715h2JmZmZWdpI6SVqqaOnUQJ/2kvYDugINfaZ8SdKHkh6VtG1zYnRyVT4XA1tIuiON2/yHpL8DB0naX9K/0vLd9E0elZY3JZ2fKks3SXpM0t/TD0tfSU9LGpnGje4AIOm6VCEbndp8oy9wFLBNOsaawO5A4cwInYAvC9bvSsvmwNMR8T5AZEan414v6QrgEaCbpEslPS7pYUkrpzZDUmxPS9oubRsl6aK0/fI6rt9dwB6SViEr5dakvr+TtGthQ0kbp+M+KemEtPky4NmCZjPSOdZ6DNit1IFL/aLWVEhNuyl2Hfw9vpj+BaMeeDLvUMzMzKyNiprWW4BhwLSiZVipOCStJ+kLYCZwJfDDiHi9jrA/BA4H9gL2BN4CHpU0sKnn7+SqfE4EnoiIfdL6UmQJzU1kYz4HAjsCZ0bE3FQV2oPsm3khcBjwWERsB4wg+wYDLEdWddoLODpVY9YCBkbEQGB8HX2vSPEMioi3gFXTsWr1JvuBBCAipkXENGBF4AMASRukxKgwaXk+IrYnqy5NjYht0/mdLGl54EfpXHcATino99eI2BpYX9LSJa7fw6nP3mRVpvqcDeyZ9relpB4R8b+I+KqgzfR0jrXn9zmwQh37+8Yv6odfjG8ghMrzg/2+z/13PsSc2XPyDsXMzMysNQwHli5ahtfR9i1gA7LCwRXACElrl2oYEW9FxP9FxIsRMSYijgbuBU4o1b4+ntCi9TwfESFpBWBcRMwEZkqaJWkxIMgSoZMiYmL6Zm8i6WCgA1Bbfng1IuZImgAsExGzJV0CXCtpGnAqUFffQrMiorYatEs69r4l2n0AbAYQEf8GBkl6vuD959LXtYEfpoxeZMP4Vk3bH09tCpOZl9LXiWRDFqexoFlklbQfAJeUiKvQesBdaWTiMmRJVPFNRjcDT0jaMyLqnss8Mxy4oHDDikusUhxfRfvOgA1YZdWVOfEv9zXc2MzMzKyVtObgn9rP041sO4v5E1o8L2kT4FjgiEYe7hmacUuJk6vWU/uj9QnQJ40H7QR0TMnSpcCtEVFbFXoTGBMRNwKkClUvsiSsliS1B+6IiFsk/ZqsdFmqb3egfUHfiZK6R8THEXGvpD3JZk55tCjufwHnSOobEe+ne6sK91N7Xm8Ct0fE7wuOuTQwFtg1JZaF9zwtcB51XLNrge+k61NHEwBeBvaOiGnpepT6NT4AGFRb/pW0BHXM+FLqF3XTlbap7/itpnOXzqzcr9e89ZV6r8ga66zO9M+mM3nSxxw97Cd077kCvzv2jwv02+1Hu/DKC6/x7lvvLeyQzczMzKqBWPCWkYZsyIKjvhrFyVUri4i5ks4CRqdNp0rqDQwF1pN0BHAncBVwlaShqd35QKmpIpckm0qyHVnCsh8wpUTf+4HOymbYOxG4m2zY3S2pzXiyZKg43lmSDgWukLQ4MBe4sUQc9wDbSaqtUt0UEdcom6XvCUlzgVeAYxq4RIXHHs3861Sfk4G/pmswi2x45YyiNkuRnWOt7YF/NDaWvKzVf02uHHnxvPVfnP4zAP5x2/2c8YuzWL77cvTo1X2BPl2X7Mp2uwzk/N9culBjNTMzMytWCbetS/oj2WfhCWSfnfcDBgHfTe8PB3pFxMFp/TjgfbLP3h3JKlZ7paVpx46IhltZ1UuVs6sj4qC03gO4OSJ2yDey1iHpBWCziJiT1kcAP42ILxrTf9OVtvEvRgs8+8ETeYdgZmbWlpR7FudmmzxoUKt9huoxalSjzlPSNWR/WF+R7FaUscDZEfFwev96oG+aAwFJJ5LNWdCL7A/2rwHDI6LJ91s4uWrDUsLRISL2zzuWcpL0IPB6RPyiuftwctUyTq7MzMwWKidXFcLDAtuwiDgk7xhaQ3rOlZmZmZktZJUwLDBPnordzMzMzMysDFy5MjMzMzOzsoiaih+516pcuTIzMzMzMyuDZlWu0lTiERET0/qmwP5kkwhcVcb4zMzMzMysSvieq+a5BdgWQFJP4GFgU+CPkn5bptjMzMzMzMyqRnOTq3WBZ9PrwcCrEbEFWfVqSBniMjMzMzOzKhOhVluqQXMntOgAzEyvdwD+nl6/SfawLjMzMzMza2M8LLB5XgOOlLQ1sCPwQNq+EvBpOQIzMzMzMzOrJs2tXJ0E3AX8ChgRES+n7bsxf7igmZmZmZm1IW19KvZmJVcRMUrS8sBSETG14K2rgC/LEpmZmZmZmVkVadawQEmPAUsWJVYAU4DbWhyVmZmZmZlVnYjWW6pBc++5GgR0LLF9cWDrZkdjZmZmZmZWpZo0LFDS+gWra6dnXNVqD3wXmFSOwMzMzMzMrLr4nqum+TcQaXmsxPszgJ+3MCYzMzMzM6tCTq6aph8g4F1gU+CTgvdmAR9HxNwyxWZmZmZmZlY1mpRcRcS49LK592qZmZmZmdkiqlomnmgtzX3OFZK+RTaxRXeKkq2IOKNlYZmZmZmZmVWXZiVXkn4CXAH8D/iI7B6sWgE4uTIzMzMza2N8z1XznAqcEhFnlzMYs0rx7AdP5B2CmTXD7P+9m3cIVa3D8qvmHYKZWVVrbnK1DHBHOQMxMzMzM7PqFtG2K1fNnZjiDmCncgZiZmZmZmbVLWpab6kGza1cvQP8XtLmwCvA7MI3I+KSlgZmZmZmZmZWTZqbXB0OfAFsk5ZCATi5MjMzMzNrY2ra+LDAZiVXEdGv3IGYmZmZmZlVs2Y/5wpAUkegH/DfiJhTnpDMzMzMzKwaeUKLZpDURdI1wFfAa8Aqafslkk4uY3xmZmZmZmZVobmzBQ4H+gODgK8Ltj8C7NvCmMzMzMzMrApFjVptqQbNHRa4B7BvRDwjKQq2vw6s1uKozMzMzMzMqkxzk6sVgI9LbO9KNlugmZmZmZm1MdHGM4HmDgt8DtilYL32Mv4EGNOiiMzMzMzMrCp5WGDzDAMekLR22sexktYBBvDN516ZmZmZmZkt8ppVuYqIp4EtgS7Af4GdgMnAgIh4oXzhmZmZmZlZtagJtdpSDZr9nKuIeAU4pIyxmJmZmZmZVa1GJ1eSlmps24iY3rxwzMzMzMysWrX1hwg3pXL1GY2fCbB900MxMzMzMzOrXk1JrrYteN0XOAu4nvmzAw4gGyY4rByBmZmZmZlZdWnrU7E3OrmKiCdqX0v6LXB8RPyloMnfJb0CHA6MKF+IZmZmZmZWDapl4onW0tznXA0Ani+x/Xlg0+aHY2ZmZmZmVp2aO1vgBOBI4JdF249I75mZmRnwp2tu4oprb15g23LLLsMT99ySU0RmZq3HE1o0zy+AkZJ2Bp5J2zYHVgP2KkdgZmZmi4rV+/Xh6ov/OG+9XbvmDhwxM7NK1tyHCN8HfAv4O7AssBxwN/Ct9J41kzL3SHpS0rI5x9JN0uCC9cUljShYl6QHJd2c1odIGpJeP1+0r8UlXSFplKQxkvZJ2/+atn2WznmUpDUlfZ5ePyfpe6nt9yU9LekpSZelbX0lXZ9eHyPpBUlrFBx3v9pjmZnlpX379iy/3LLzlmWX6ZZ3SGZmrSKi9ZZq0JKHCE8Afl3GWCzTE6iJiK1rN0hqFxE1OcTSDRgM3J7W9wUKk+eewNyIOKAR+/oNMDYijpK0JPC4pLERsSeApFHArhHxRVp/KyIGSVqJLHG/H3gVGBgRcyTdImkT4JPaA0TEJZLmANsAb6fNdwJ3AXc0/fTNzMpj/MRJbLvbAXTs2IH11l6TY48YQu9eK+YdlpmZlVmzkytJW5PdY7UqsE9ETJJ0EPBeRDxVrgDboIuBLSR9AvwLqCEbgjkbODa1OQ14GHg0rfcE7gVOAa4GVgK+AA4kqyzeAnwIrEE2y+Mjkq4DVid7dtnBwEcl+h4FbJMSnyOA3YGfF8TaCfiyYP2ues5rJ2AzgIj4XNKVZInb7xu4Ht0ApX7jC7bPBuYAk1hw+v+vgCVqV1IiNkNSj4iYXOoAkjqlc5nn66+/plOnTqWam5k1yfprr8kfTz2BPqv04tMpn/HnEX/hwCN/yd03XUm3pZfKOzwzs7LybIHNIGkv4EFgBvAd5n8wXRJXs1rqROAJYB9gKbKE5ibgZGAgsCNwZkTMjYhBwB5kidOFwGHAYxGxHdl0+IenfS5HVnXaCzhaUgdgLbIq0EBgfB19rwCeiIhBEfEWWSL9YUGsvYFptSsRMS0iplFaFFXfJpAlcnVZU9JTZAnmSYVvSNoIWD4iXoqI2RFRGNP0FFehd4G16znWsHQe85bhw4fX09zMrPG2HrAJO267Fd9arR8DNtmQy889A4C7738k58jMzMovQq22VIPm3lF7KnBkRPyErIJQ62myZMvK4/mICGAFYFxEzIyI6cAsSYtJak+WCJ0UERPJEoijUqXpeGD5tJ9XI2IOWUKzTETMBi4BrpV0EdClnr6FZtUmSJJ2IatU/aVEu5IkFf68rQx8UE/ztyJiK7IK2vYF+1iZrLo3pI5+jwL7Szq38NANhDYcWLpwGTbMz8I2s9bRpfPirLFqX8ZNmJR3KGZmVmbNHRa4JjC6xPbpZMO4rDxqKz2fAH0Khq91TMPdLgVujYhnU7s3gTERcSNAqlD1Ihv6V0spKbsjIm6R9Gtgzzr6dgfaF/SdKKl7RHwcEfdK2hM4hPnDE+vzEFl17CpJS5ANMzyooU4RcbekEyUtB8wkG+J4ZER8UkeX7YG/RMSJBdv6AW/Uc4yZad9mZq1u1qxZvDduPBv1XyfvUMzMys7DApvnQ7L7dYptRTYEy8ooIuYCZ5EltA8Dp0rqDQwFjkiz6v0MuArYUdJjkh4ju8+plCWBRyQ9CXwXeKSOvh8CnSXdKWlVsokldijYz3iySk8p35L0SFrOB/4AfCdVxh4CzktDDRvjBuAnZPd7rQZcls55mxJtl0pxASBpMaBLRHzUyGOZmZXVuZf9H8+9NJaJH3zE2Nfe5BennskXX37F7t/foeHOZmbWZJKOkjRW0vS0jKmdfbqePtukWae/lvSupCObdexoxryGkk4kq1j8mOzD/veBPmT3/ZwREZc1JxirbKlydnVEHJTWewA3R0TFfEKQdCzweURcm9b3Jbvf6/b6e35DlUz4aWaFZv+v8v6+d8Jvh/PCv19l6rTpLNttadZf59v8/CcHsVq/PnmH9g0dll817xDMrHkqplz0zEp7ttpnqM0/+GujzlPSD4C5wDtp0yHAr4ANI+K1Eu37kc1K/X/An4EtgcuBH0XEyKbE2KzkKgVxJtnDhBdPm2aSVSN+06wdWlVKz73qEBH7V0AsxwC7AUPTowJawsmVWRWqxOSqmji5MqtaTq4aIGkK8KuIuKbEe2cDu0XEWgXbrgT6R8SAphynJc+5OiUlWGuTDS98vfYZRdZ2RMQhecdQKyIuIZuow8zMzMxy0Jr3XJV6fA4wM90/X1ef9mSzcHcFxtTRbADZbSuFHgQOldQhTQbXKM2din1pSctGxFcR8XxEPBsRX0haVpIf2mFmZmZmZuX2jcfnsODzTueRtJ6kL8hG110J/DAiXq9jvz2B4uehTiYrRJWaQbtOzZ3Q4lZgvxLbB6f3zMzMzMysjWnl51x94/E5aVspbwEbAJuTPbt1hKT6nntaPJxRdWyvV3OHBW5G9iykYqOAM5u5TzMzMzMzq2I1DTdptqY8PiciZjF/QovnJW0CHEv2OKBiH5FVrwp1B+YAnzYlxuZWrjpROjHrAHRu5j7NzMzMzMxag/jm/Vq1xgA7Fm3bCXi+KfdbQfOTq+eAw0tsPxJ4oZn7NDMzMzOzKhao1ZbGkvRHSVtL6pvuvToTGATcnN4fLumGgi5XAn0kXSBpLUk/Bg4Fzmvq+Td3WOApZA+h7Q88mrZtD2xC3Q+uNTMzMzMza209gBuBFckmvRgLfDciHk7vrwisUts4It6T9H2yZ/b+FPgAOKapz7iCZiZXEfFPSQOAE8kmsZiRgj40It5uzj7NzMzMzKy61VTAk0Ij4tAG3h9SYtsTwHdaeuyWPOfq30DuD441MzMzMzOrBM1OriStBgwFVgWOi4iPJX0XmBARr5UrQDMzMzMzqw41Tbg3alHU3IcIbwO8QjYl+17AEumt9YHTyxOamZmZmZlVk0qY0CJPzZ0t8Czg1IjYEZhVsP1xYECLozIzMzMzM6syzR0WuB6l77f6BFiu+eGYmZmZmVm1as2HCFeD5lauPiObwrDYhsCkZkdjZmZmZmZWpZqbXN0CnC2pJxBAO0lbkj1o64Z6e5qZmZmZ2SLJ91w1zynAeLIq1RLA68Bo4GngD+UJzczMzMzMrHo09yHCs4EDJP2G7GFb7YCX/ABhMzMzM7O2q63fc9Ws5ErSb4HzIuJd4N2C7Z2BX0XEGWWKz8zMzMzMqkRbT66aOyzwNOY/26pQl/SemZmZmZlZm9LcqdhFNpFFsf7AlOaHY2ZmZmZm1apaJp5oLU1KriRNJUuqAviPpMIEqz1ZNevK8oVnZmbWeB2WXzXvEKra7P+923Ajq5N//sysqZWr48iqVteSDf+bVvDeLOD9iBhTntDMzMzMzKya1LTtwlXTkquIGAEg6T3g6TRroJmZmZmZWZvX3KnYn5DUTtK3gO4UTYwREaPLEZyZmZmZmVWPGt9z1XSSNgduAfrAN65gkN1/ZWZmZmZm1mY0d7bAK4HngV2ADyk9c6CZmZmZmbUhbT0paG5ytQawd0S8U85gzMzMzMysevkhws3zL2D1cgZiZmZmZmZWzZpbuboUOF9ST+AVYIFZAyNibEsDMzMzMzOz6lIjT2jRHCPT12tLvOcJLczMzMzMrM1pbnLVr6xRmJmZmZlZ1fOEFs0QEeMAJK0NrAJ0LHwbGNfy0MzMzMzMzKpHc59ztSpwF7AeWTJVO7iyNln1sEAzMzMzszbGswU2z8XAe0AP4CtgXWAg2bOvBpUlMjMzMzMzqyo1ar2lGjT3nqsBwHYR8YmkGmBuRDwlaRhwCbBh2SI0MzMzMzOrAs1NrtoDX6TX/wNWAt4iu9dqzTLEZWZmZmZmVaaGKikxtZLmJlevAusD75I9UPhESbOAw9M2MzMzMzOzNqW5ydUfgK7p9anAP4AngU+BfcsQl5mZmZmZVRlPxd4MEfFgwet3gbUlLQtMjYi2fk3NzMzMzKwNam7l6hsiYkq59mVmZmb2p2tu4oprb15g23LLLsMT99ySU0Rm1pBqmdWvtZQtuTIzMzMrt9X79eHqi/84b71du+Y+RcbMFoa2/pwrJ1dmZmZWsdq3b8/yyy2bdxhmZo3iP/9UGGXukfRkuo8tz1i6SRpcsL64pBEF65L0oKSb0/oQSUPS6+eL9rW4pCskjZI0RtI+aftf07bP0jmPkrSmpM/T6+ckfS+1XU3SS5K+lrRE2tZX0vXp9TGSXpC0RsFx96s9lpmZVZ/xEyex7W4HsPPeQzjht8OZMOnDvEMys3pEKy7VwJWrytMTqImIrWs3SGoXEXlUWbsBg4Hb0/q+wH0F7/cke4D0AY3Y12+AsRFxlKQlgccljY2IPQEkjQJ2jYgv0vpbETFI0krA3cD9wIfAoLT+DRFxiaQ5wDbA22nzncBdwB2NOmMzM6sY66+9Jn889QT6rNKLT6d8xp9H/IUDj/wld990Jd2WXirv8MzMvsHJVeW5GNhC0idkzxCrAUZKmg0cm9qcBjwMPJrWewL3AqcAV5M91PkL4EBgWeAWssRkDeD4iHhE0nXA6mR/CDgY+KhE36OAbVLicwSwO/Dzglg7AV8WrN9Vz3ntBGwGEBGfS7qSLHH7fQPXoxtkT6OLiK8ApAXulJwEDCtY/wpYonYlIuZImiGpR0RMLnUASZ3Suczz9ddf06lTp1LNzcxsIdl6wCbzV1aD/uuuxfcG/5i773+EQ/bbM7/AzKxObX1CCw8LrDwnAk8A+wBLkSU0NwEnAwOBHYEzI2JuRAwC9iBLnC4EDgMei4jtgBFkD3UGWI6s6rQXcLSkDsBawMCIGAiMr6PvFcATETEoIt4CVk3HqtUbmFa7EhHTImIapUVR9W0CWSJXlzUlPUWWYJ5UV6OImB0RhTFNT3EVehdYu55jDSM7j3nL8OHD62luZmZ56NJ5cdZYtS/jJkzKOxQzs5KcXFW259Nzw1YAxkXEzIiYDsyStJik9mSJ0EkRMZEsgTgqVZqOB5ZP+3k1IuaQJTTLRMRs4BLgWkkXAV3q6VtoVm2CJGkXskrVXxp7MpIKf95WBj6op/lbEbEVWQVt+8Yeg6yat7+kcwsP3UCf4cDShcuwYcPq72FmZgvdrFmzeG/ceFbwBBdmFaumFZdq4GGBla325+gToE/B8LWOabjbpcCtEfFsavcmMCYibgRIFapeLHgPoFJSdkdE3CLp18CedfTtDrQv6DtRUveI+Dgi7pW0J3AI84cn1uchsurYVWkyiiOAgxrqFBF3SzpR0nIR8WkjjrM98JeIOLFgWz/gjXqOMROY2Yh9m5nZQnTuZf/HoC03Y8Ue3ZkyNbvn6osvv2L37++Qd2hmZiU5uaoCETFX0lnA6LTpVEm9gaHAepKOIJu44Sqy5GVoanc+8FqJXS4J3J0qSQHsB0wp0fd+oLOkO8mGK94N7EB2DxdkwwmXriPsb0l6JL1+mex+sItSZawjcF4aatgYNwA/kfRnsokp+gP3SDonIu4vartUigsASYsBXSLio0Yey8zMKsTkj//HiaedzdRp01m229Ksv863ueWqC1mpZ4+8QzOzOlRLham1KBt1ZtawVDm7OiIOSus9gJsjomL+hCjpWODziLg2re9Ldr/X7fX3/Ab/YphZmzP7f+/mHUJV67D8qnmHYG1XxUwjcWXvA1vtM9SRE26qmPOsi++5skZL93wdVLA+GZgk6ZZ6ui00ko4BfkA2kyIAEXFbMxIrMzMzM7Mm87BAa5GIOCTvGGpFxCVkE3WYmZmZWQ7a+rBAV67MzMzMzMzKwJUrMzMzMzMrC1euzMzMzMzMrMWcXJmZmZmZWVlEKy6NJWmYpOckfS7pY0l/k7RmA30GSYoSy7ebcGgPCzQzMzMzs/KoqYzJ0rcB/gQ8R5bvnAk8JGntiPiygb5rAtML1j9pyoGdXJmZmZmZ2SIjIr5buC5pKPAxsBEwuoHuH0fEZ809tpMrMzMzMzMri9ac0EJSJ6BT0eaZETGzga5Lp69TGnGYlyQtDrwO/CEiHm9KjL7nyszMzMzMqsEwYFrRMqy+DpIEXAA8FRGv1tP0Q+BwYC9gT+At4FFJA5sSoCtXZmZmZmZWFq08FftwskSpUENVq8uA9YGt6msUEW+RJVS1xkjqDZxAw0MJ53FyZWZmZmZmFS8N/2somZpH0qXAbsDAiJjYjEM+AxzYlA5OrszMzMzMrCyaMmV6a0lDAS8FfggMioj3mrmrDcmGCzaakyszMzMzMyuLCpmK/U/A/sDuwOeSeqbt0yJiBoCk4UCviDg4rR8HvA+8BnQkq1jtlZZGc3JlZmZmZmaLkqPS11FF24cC16fXKwKrFLzXETgP6AXMIEuydomI+5pyYCdXZmZmZmZWFq08oUWjRESD9bOIGFK0fg5wTkuP7anYzczMzMzMysCVKzMzMzMzK4tKmNAiT65cmZmZmZmZlYErV2ZmZmZmVhY1bbx25eTKzKyC9Fj623mHUNUmT3sz7xCqWoflV807BDOzqubkyszMzMzMyqISZgvMk5MrMzMzMzMri7Y9KNATWpiZmZmZmZWFK1dmZmZmZlYWbX1YoCtXZmZmZmZmZeDKlZmZmZmZlUWN8o4gX65cmZmZmZmZlYErV2ZmZmZmVhZ+iLCZmZmZmVkZtO3UysMCzczMzMzMysKVKzMzMzMzKwtPxW5mZmZmZmYt5sqVmZmZmZmVRVuf0MKVKzMzMzMzszJw5crMzMzMzMqibdetnFyZmZmZmVmZeEILMzMzMzMzazFXrszMzMzMrCw8oYWZmRmw+RYbc+OtV/Dym6OZPO1NvrfL9vW233Tz73DPg7fwxnvP8P5H/+ap5+7jiKMPWUjRmpmZVR5XrszMDIAuXTrz2qtv8peb/8p1N13aYPuvvprBtVfdzOuvvcVXX81g082/w3kXnc5XX83gxutvXwgRm5lZpWnbdSsnV2Zmljz2yJM89siTjW7/6tg3eHXsG/PWJ4yfxC677chmAzZycmVmZm1SbsMClblH0pOSls0rjoJ4ukkaXLC+uKQRBeuS9KCkm9P6EElD0uu1Jd0naZSkpyQdnbZfL2ndRhx7cUmj0uuLJHWuo11fSTs14ZzmxVjH+7XH3E7SGEmjJf1TUidJ35X0wzr6FV+r5xuI4xeSnkn7vqqx8TdF0ffjOkmPSlqs4P2LJK3cGsc2s8y666/FJptuyJh/Ppd3KGZmlpOaVlyqQZ6Vq55ATURsXbhRUruIyOP6dQMGA7V/bt0XuK/g/Z7A3Ig4oLCTpI7ANcCPIuJ9SQIWOKemiIjj6nm7L7AT8FBD+5HUlMT5D8D3I2KqpKWB2RHxQD3tu7HgtaovjiXJruWAiAhJyzQhrmaJiKGSbie7Xu+kzdcBPwWGtfbxzdqal14fxXLLL8tii7Xn3OGXcfMNd+YdkpmZWS7yTK4uBraQdAfwJ+AEsqR0pKTZwLGp3WnAw8Cjab0ncC9wCnA1sBLwBXAgsCxwC/AhsAZwfEQ8Iuk6YHWyYaAHAx+V6HsUsE2q5hwB7A78vCDeTsCXBet3pa+bA09HxPsAERHA6MITldQjxdUB+BjYNyLmSvoTsC7wTEHbUcCuQD/gknTcFyPiZynGLSRtnOL7CbBXOq+fR8QLkl4EngaWBn5W6sIXODh9nQ0MknRfRExLcQwBlgDuJEuidgSGACsASxZdq3aSrgQ2BP4WEcMLjlEDLAdsIOnfETE17X9V4Ip0fi9FxC/SMXdL27qnc/wa+Gva1/SI2K1UX+Z/P2p9BSxeuxIRL0u6pNRFkNQp7Wuer7/+mk6dOpVqbmZFdv/eAXTt2pWNNunPKb/7Je+/O567Rt6bd1hmZpaDaON3XeU5W+CJwBMRsU9aX4rsw/RNwMnAQLIP9GdGxNyIGATsQZY4XQgcBjwWEdsBI4DD036WI6uU7AUcLakDsBYwMCIGAuPr6HtFimdQRLwFrJqOVas3MK12JSKmpURkReADAEkbpKGBzxad61Rg54Ljb5cSpGUiYhvgkRLX5x1gu4jYAlhJ0hopxtvStehMlohsCewPnJ36LQNcFBEHFcRYUkSMTy9/DOwJvCnpT4VVr4j4iCz5vTpd17NKXKtuwHBgALBf0TG+JEsKzwTekXRYeuts4Oh0Loul6wHwWUTsAlwF7E2WsD1f8P0v2bfEuU4n+54V6iCpfYlLMYzseztvGT58eIlmZlbK+HGTeOP1/3DTiDu46k/Xc8Kwhv6uY2Zmi6q2PiywkqZifz5VfVYAxkXEzIiYDsyStFj6UDwCOCkiJgJrA0el6snxwPJpP69GxBxgAlnyMpusAnStpIuALvX0LTSrdniipF3IKiN/KdHuA6AXQET8O33gL76uywJ3SnqCrCq1Elkl7YX0fnEyBtmQtvtSn41Tn+L3X46ImlQ1WzptnxoR79AEEfHfiDgIWI3s+uxY1GQksB3w53Rti02NiHHpes0osf9HIuL7wAbATyUtAawJXJO+B1sAtfdDvZS+TiBLFJ8ApqX7345P79XVt9BtwI2S9inYptJXgOFk12/eMmyYRw+aNYtEx44d847CzMwsF5U0W2BtQvoJ0KdgqFbHiJgj6VLg1oioTUTeBMZExI0AqULViwVngFRKyu6IiFsk/ZpUoSnRtztQWNWYKKl7RHwcEfdK2hM4hPnDE2v9CzhHUt+Ce66KqyMHAA9FxOWSLiD7kP8OWaIFWfJU7Gjg0oi4T9JfU5/ZBft+n2yoXTtgFeCzouu4AEkrp6S01HtrRMTbEVEj6X98Mzn8NXARWSXw70VxQD2zbkpaHFghIiaQDcH8Or31FnBCRIwruGYHFu1LQIeI+H3a10PpXqpSfYvtCxwcEYX3zc2OiLnFDSNiJjCzrnMwayu6dO1Cv1VXmbe+Sp+VWWe9b/PZ1GlMmvghp5x2PD1X7M7PjzwZgKGH7c+kiR/y9n/eBWCzARtx9M9/zDVX3ZRL/GZmlr+2/hDhSkquAEj3Ip3F/PuWTpXUGxgKrCfpCLL7gK4CrpI0NLU7H3itxC6XBO5OSUiQDVubUqLv/UBnSXeSDVm8G9iB7F4pyIbzLU2RiJgl6VDgipRIzAVuLGr2KFkVZWeye4HGRsTzkqZLGk2WoBW7B7gwDaOr/T69AgxPMQ5NMf4zndcxJfZR6A6yYXul/FLSBmQJxrtkE2YcBCBpQ+A7EbGHpLfIqjzHs+C1qk8H4PqULLcHbomILySdBFyZtteQDU0sZRNJZ5Jdg/eAiUCpvuOL+i1VuE1Sf2BMA7GatWkbbLgud917w7z1M4ZnFdxbb76LY48eRvceK9Br5flF9Hbt2nHKab9glT4rM2fOXN5/fzx/OP18brj2toUeu5mZWSVQNhLPiqUP7len4XK1k1LcHBE75BtZ00nqDhwTEafmHcvCIuku4JcR8W5avwg4P1XQGsO/GJaLHkt/O+8QqtrkaW/mHYKZWR7quvVhoTuq7+BW+wx1xfu3V8x51qWS7rmqKOmer4MK1icDkyTdUk+3ipSGNralxOo6suGH79dui4jjmpBYmZmZmZk1WcUNC6xkEXFI3jFYwyJiaMOtzMzMzKzcfM+VmZmZmZlZGVTLlOmtxcMCzczMzMzMysCVKzMzMzMzK4to48MCXbkyMzMzMzMrA1euzMzMzMysLHzPlZmZmZmZmbWYK1dmZmZmZlYWbf2eKydXZmZmZmZWFh4WaGZmZmZmZi3mypWZmZmZmZVFTbTtYYGuXJmZmZmZmZWBkyszMzMzMyuLaMWlsSQNk/ScpM8lfSzpb5LWbES/bSS9IOlrSe9KOrIJhwWcXJmZmZmZ2aJlG+BPwObAjmS3Qj0kqWtdHST1A+4DngQ2BP4IXCJpr6Yc2PdcmZmZmZlZWdRUwFTsEfHdwnVJQ4GPgY2A0XV0OxIYHxHHpfU3JG0MnACMbOyxXbkyMzMzM7OKJ6mTpKWKlk6N6Lp0+jqlnjYDgIeKtj0IbCypQ2NjdHJlZmZmZmZlEa34HzAMmFa0DKsvHkkCLgCeiohX62naE5hctG0y2Ui/5Rt7/h4WaGZmZmZmZdHKDxEeTpYoFZrZQJ/LgPWBrRqx/+Ixjapje52cXJmZmZmZWcWLiJk0nEzNI+lSYDdgYERMbKD5R2TVq0LdgTnAp409ppMrsxIW69gr7xCq2pxZk/IOoWpNnvZm3iGYmZk1WyVMaJGGAl4K/BAYFBHvNaLbGOAHRdt2Ap6PiNmNPbbvuTIzMzMzs0XJn4ADgf2BzyX1TEvn2gaShku6oaDPlUAfSRdIWkvSj4FDgfOacmBXrszMzMzMrCyiAipXwFHp66ii7UOB69PrFYFVat+IiPckfR+4EPgp8AFwTEQ0ehp2cHJlZmZmZmaLkIhQI9oMKbHtCeA7LTm2kyszMzMzMyuLVp4tsOI5uTIzMzMzs7KIqIhhgbnxhBZmZmZmZmZl4MqVmZmZmZmVRSVMxZ4nV67MzMzMzMzKwJUrMzMzMzMri7Y+oYUrV2ZmZmZmZmXgypWZmZmZmZVFhTxEODdOrszMzMzMrCw8oYWZmZmZmZm1mCtXZmZmZmZWFn6IsJmZmZmZmbWYK1dmZmZmZlYWnordzMzMzMzMWsyVKzMzMzMzK4u2PhW7K1dmZmZmZmZl4OTKrIJsvdVm/O2u6xn//gvMmTWJ3Xbbud72PXt258YbLuO1V0cz6+sJnH/e6QspUjMzM7NvqiFabakGTq7MKkjXrl0YO/Z1jjnu1Ea179SpI5988inDz7qEl8e+3srRmZmZmdUvIlptqQaLXHKlzD2SnpS0bAXE003S4IL1xSWNKFiXpAcl3ZzWh0gakl6vLek+SaMkPSXp6LT9eknrNuLYi0salV5fJKlzHe36StqpCec0L8Y63q895u8kvSLpn5Kurqf94XVs7ympzlKMpD0kdS+OSdJ1kh6VtFhB24skrdzAqeXugQcf57enncPf/nZ/o9qPGzeR4395GjfddCfTp01v5ejMzMzMrD6LXHIF9ARqImLriJhSu1FSXufaDRhcsL4vcF/Bek9gbkQcUNhJUkfgGuDoiBgEbA282twgIuK4iJhRx9t9gUYlV824jsMiYkugh6Qt62jzjeRKkoDJEXFaPfveA+hevDEihgKfkp1XreuAnzYyZjMzMzNrhrY+LHBRnC3wYmALSXcAfwJOIJtyf6Sk2cCxqd1pwMPAo2m9J3AvcApwNbAS8AVwILAscAvwIbAGcHxEPCLpOmB1IICDgY9K9D0K2CZVc44Adgd+XhBvJ+DLgvW70tfNgacj4n2AyGqhowtPVFKPFFcH4GNg34iYK+lPwLrAMwVtRwG7Av2AS9JxX4yIn6UYt5C0cYrvJ8Be6bx+HhEvSHoReBpYGvhZqQtf4OAS214FVk4Vul5kP3v7AxsBa6b4rgC+B8wAvgWcIOmUiNhb0vbAmYCAK4FRwHeBdSQ9ApxVdLyvgMVrVyLiZUmXlApWUqd0PeZpt9iKZPmdmZmZmVnjLIrJ1YnAeRGxj6RBwFLANmRVupeATcg+SD8eEQ8AgyR1I0tqLgQOAx6LiGsl7UVWVbkTWA4YSJacnC3pCWAtYEBERKroHF2i7xXAahGxN4CkVcmStFq9gWm1KxExLbVbEfggvd4AuAjoEhGbFvSdCuwcEXMkXQBsJ2kqsExEbCNpR2CzouvzDrBdivmvktZIMU6IiBMk9QR2A7YEViFLFncAlgEuioh3GvoGRMT4wnVJ7YEtgNuAn0TEV5J2A46IiFMkvZWqc0j6HvB8RBwlqW/Bbv4I7JKu1TPArcADZN/rUhW96WTXtvC9DpLaR8TcorbDyJLt+edQ8zlqv1RDp2pmZmZmBdr6VOyLYnJV7PmUSKwAjIuImcBMSbPSPTkBjABOioiJktYGNpF0MFlF6Mm0n1dTEjOBLHmZnSoh10qaBpwK1NW30KyIqAGQtEs69r4l2n1ASowi4t9kSeDzRW2WBa6UtAywIvAyWRL4Qnr/2RL77QtcIKkLWaK4Uon3X04xvi9p6bR9amMSqxKGkyW8DwGvABelZLET8FodfZ4rsa1dRPwPQNLbJeIudhtwt6SjIuKOtK2uUtRw4ILCDWq35LQ62pqZmZmZldQWkqua9PUToE/BELCOKVm6FLg1ImoTkTeBMRFxI4CkDmTD2ArTcKVqzB0RcYukXwN71tG3O9C+oO9ESd0j4uOIuFfSnsAhzB+eWOtfwDmS+kbE++kepPZFbQ4AHoqIy1PlSmSVqV3T+xuXuB5HA5dGxH2S/pr6zC7Y9/vABqkStwrwWdF1XICklSNiYqn3kmER8Y/UdiOgR0RsnSpXe6Y2xX/iKHWsGknLk1Wu1iBLPgvjLrYvcHBEFN7fNrtE1YrahLtw22Ide9VzSmZmZmZWSk2VzOrXWtpCcgVAuhfpLObft3SqpN7AUGA9SUeQDf+7CrhK0tDU7nxKV1iWJKuMtCNLDvYDppToez/QWdKdZBWcu8mG2d2S2ownu4+pON5Zkg4FrpC0ODAXuLGo2aPAjZJ2JrvHaGxEPC9puqTRZAlasXuACyUdxvzv/yvA8BTj0BTjP9N5HVNiH4XuAAY00KbWm8CKkh4G3ijY/rikvwP/V0/fX5PdEwdwWUTMkHQ/WSXswYgovudqKbJrC4Ck/sCYRsaZm65du7D66v3mrffruwr9+6/DlClTmTDhA878w8mstNKKDP3xsfPa9O+/TtZ3ia6ssMKy9O+/DrNmzeKNN95e6PGbmZlZ29a2UytQtcwZv6hIlbOrI+KgtN4DuDkidsg3sqZL06AfExGNeyjTQiTpLuCXEfFuWr8IOD8iJjSm/2Ide+Xyi7HNwAE8+sid39g+4obbOfSwX3DN1RfSt8/KbL/jPvPemzNr0jfav//+BFb/1uatGmt9SsVkZmZmraZiZuHautf2rfYZ6slJj1bMedbFyVUFUPbcqw4RsX/esSwK0iyOiwMH1N7f1lR5JVeLCidXZmZmC1XFJB1b9tqu1T5D/XPSYxVznnVpM8MCK1lEHJJ3DIuS9JwrMzMzM7OFysmVmZmZmZmVRbU87Le1tMs7ADMzMzMzs0WBK1dmZmZmZlYWbX0+BydXZmZmZmZWFh4WaGZmZmZmZi3mypWZmZmZmZVFuHJlZmZmZmZmLeXKlZmZmZmZlUVbn9DClSszMzMzM7MycOXKzMzMzMzKwrMFmpmZmZmZWYu5cmVmZmZmZmXR1u+5cnJlZmZmZmZl4WGBZmZmZmZm1mKuXJmZmZmZWVn4IcJmZmZmZmbWYq5cmZmZmZlZWdS08QktXLkyMzMzMzMrA1euzMzMzMysLNr6PVdOrsxKmDNrUt4hVLU+y62fdwhVa9ynY/MOwczMrNk8LNDMzMzMzGwRImmgpHskfSApJO3RQPtBqV3x8u2mHNeVKzMzMzMzK4sKGhbYFXgZuA4Y2YR+awLTC9Y/acpBnVyZmZmZmdkiJSLuB+4HkNSUrh9HxGfNPa6TKzMzMzMzK4vWvOdKUiegU9HmmRExs4yHeUnS4sDrwB8i4vGmdPY9V2ZmZmZmVg2GAdOKlmFl2veHwOHAXsCewFvAo5IGNmUnrlyZmZmZmVlZtPI9V8OBC4q2laVqFRFvkSVUtcZI6g2cAIxu7H6cXJmZmZmZWcVLw//KOQSwIc8ABzalg5MrMzMzMzMri0XsOVcbkg0XbDQnV2ZmZmZmVhaVMhW7pCWA1Qs29ZO0ATAlIsZLGg70ioiDU/vjgPeB14COZBWrvdLSaE6uzMzMzMxsUbMxUDjTX+29WiOAIcCKwCoF73cEzgN6ATPIkqxdIuK+phxUsWiV7szKxb8YLdBnufXzDqFqjft0bN4hmJlZ9WnSg5xaU7/l+rfaZ6j3Pn25Ys6zLp6K3czMzMzMrAw8LNDMzMzMzMqipo0P/nHlyszMzMzMrAxcuTIzMzMzs7Jo6/M5OLkyMzMzM7Oy8LBAMzMzMzMzazFXrszMzMzMrCza+rBAV67MbJGx6YCNuObmS3n2tUcY9+lYdvr+to3uu/GmG/DfyS9y36jbWzFCMzMzW5Q5uTKzRUaXLp1547W3+O1Jw5vUb8kll+CCy8/kn6P/1UqRmZmZtQ01Ea22VAMPCzSzRcaoR59i1KNPNbnfHy/4DXePvI+5c2uaVO0yMzMzK1QVlStl7pH0pKRlKyCebpIGF6wvLmlEwbokPSjp5rQ+JC2LSbpR0mhJ/5J0eHr/z/Ucaw9J3Qv287N62vaW9IikJyQ9K2njcpxvieOMque9IZKGpNefSxol6TlJm9XRfgNJm9bx3smS+tXxXvH3YFT6OlDSi5L2Lnivt6QLG3Fq1gbts//u9OnXm4vOuTLvUMzMzKpetOJ/1aAqkiugJ1ATEVtHxJTajZLyir8bMLhgfV/gvoL1nsDciDigqN/OwEcRMTAiNgPuAIiII+o51h5A90bGdQxwYURsA2wBvNXIfq3lrYgYBBwJ/KGONhsA30iuJLWLiLMi4r06+nVjwe8BABExGjiQ7LrVbpsA9JTUrfGhW1vQd9VVOOk3x3HsEcOYO3du3uGYmZlVvYhotaUaVEtydTGwhaQ7JA2S9A9JfwcOkrR/qgL9S9J3JbVP1ZJRkt6UdH6qLN0k6TFJf5e0lKS+kp6WNFLSWEk7AEi6LlXIRqc23+gLHAVsk46xJrA7UDgWqRPwZcH6XWn5Clhf0ioAETE1HfP59PVMSQdJ6iLpKUmbAN8FrpNUexPJdpLuTdWglYqu01fAVpK6RcSciPg87ffXqZo1WtJ6aduLkq5M121Y2nZUqng9IemHdfUFDq7ne1V7roVeBVaWtKOkx1PsJ6f3jgKOlXR/ut5PSroDOEHS9ZLWTRW/W1Ic9ymrXhZ/Dwpj+gpYvCiGJ8mS22+Q1Cn9TMxbZs6cWc8p2qKgXbt2XHLVWVx49uW8999xeYdjZmZmi4BqSa5OBJ6IiH3S+lJkCc1NwMnAQGBH4MyImJuqJXsAHwIXAocBj0XEdsAI4PC0n+XIqk57AUdL6gCsBQyMiIHA+Dr6XpHiGRQRbwGrpmPV6g1Mq12JiGlpeRy4G7g9JXTFQ+VOBw4FrgbOjYjngAeAoRExLLX5LCJ2Aa4C9i7qfy7QHhgj6QFJ3VNCtGaqZg0GzkhtuwHDgQHAfmnbvsCOqe3ddfWNiPHUofZcizZvTVZF+2dEbEtWqdpDUud0LS+OiO+ltisBB0TEOQX9fwiMT3H8Bfg5Rd+DopimA72KYngXWLuOsIeRfb/mLcOHN21CBKs+SyzRlf4brssZZw/jv5Nf5L+TX+TYXx3BOut9m/9OfpEtti45WtXMzMzqUUO02lINqnVCi+cjIiStAIyLiJnATEmzJC0GBFkidFJETJS0NrCJpIOBDmRVDIBXI2KOpAnAMhExW9IlwLWSpgGnkn0gL9W30KyIqAGQtEs69r6lAo+Iy4HLJX2LLIkaWPDeLEm3AcdExP51nPtL6esEYIHkLCK+IEtET5Q0FPhFar+F5t8nVTv2aWpEjEsxz0jbTgTOS9fwLLJEs1Tfxloz9Z0BHAtsKOl0suu4KqWHO74cEbOKtq0GPJdePwfsVN9BI2KKpCmSnomIzdNm1dNlOHBB4YZhw4YVJ4i2iPn88y/Yccs9F9h28KH7MmDrTTlqyC+ZMH5STpGZmZlZtarW5Komff0E6COpE9lQvI4pWboUuDUink3t3gTGRMSNAKlC1QsWSIElqT1wR0TcIunXwJ519O1OViGqNVFS94j4OCLulbQncAjwKAseYEVgekR8Cfyv+KQkLQ/8CBgp6dCIuAaYXXSsBWIu6r8a8F5K9D4Gvp3ifyIiDiuIv3g/tV6JiJ9I2gI4Cbiojr61x1sSaFeiUlWr9p6r2vbnk90X9ibwbIq/+Pxq+KZ3gE2Akenr2yX6Fca1HFlVckDB5n7AG6Xa1ybndZyDVZEuXTvTt98q89Z7r9KLtdddk8+mTuODSR9x4m+OoeeKPTj+6FOICP7z5jsL9P/fJ1OY+fXMb2w3MzOzxqmWe6NaS7UmVwBExFxJZwGj06ZTJfUGhgLrSToCuJNsCN1VqZoDcD7wWoldLkk2HK4dWfKxHzClRN/7gc6S7iSr9twN7ADcktqMB5Yusf/ewEWSZpNd+1OK3v8TWVLzLPCgpEfSsS6S9CDwUQOXZFvgL5K+AmYBQyLiA0lvS3qCLHF5GPhjHf2vlNQXWAL4VUSMbaDvvmTX6ZoG4qo1EriN7NrX3pM2BrhB2cyGv6mj39+APSWNTv0OAD6j4HsQEe8WtF8SmBgL/nYPJLtPyxZh62+wDrf9/dp5678980QA7vjL3Zzws9/QvccKrNSrZ17hmZmZ2SJObT27LIdUObs6Ig5K6z2AmyNih3wja12SzgGG107MUSkk9Qd+GREHp/Xeaf24JuzGvxgt0Ge59fMOoWqN+3Rs3iGYmVn1qe/2h4Vq2SXXaLXPUFM+f7tizrMu1TKhRUWLiJm1iVVanwxMknRLPd2qXkScWIGJ1UCyCuCNtdsiYkITEyszMzMzsyar6mGBlSwiDsk7hrYoPedqq7zjMDMzM2uL2vqoOCdXZmZmZmZWFtUyZXpr8bBAMzMzMzOzMnDlyszMzMzMyqKtDwt05crMzMzMzKwMXLkyMzMzM7OyqHHlyszMzMzMzFrKlSszMzMzMyuLaOOzBTq5MjMzMzOzsvCwQDMzMzMzM2sxV67MzMzMzKwsPBW7mZmZmZmZtZgrV2ZmZmZmVhZtfUILV67MzMzMzMzKwJUrMzMzMzMri7Z+z5WTKzMzMzMzK4u2nlx5WKCZmZmZmVkZuHJlZmZmZmZl0bbrVq5cmZmZmZmZlYXa+rhIs2ojqRMwDBgeETPzjqfa+Po1n69dy/j6tYyvX/P52rWMr581hZMrsyojaSlgGrB0REzPO55q4+vXfL52LePr1zK+fs3na9cyvn7WFB4WaGZmZmZmVgZOrszMzMzMzMrAyZWZmZmZmVkZOLkyqz4zgdPTV2s6X7/m87VrGV+/lvH1az5fu5bx9bNG84QWZmZmZmZmZeDKlZmZmZmZWRk4uTIzMzMzMysDJ1dmZmZmZmZl4OTKzMzMzMysDBbLOwAza1h6OvzOwNpp0xvAgxExLb+ozMysGkgSQHgWs2bx9bOm8GyBZhVO0gVAD+Ap4F1AQD9gIPBhRByfY3hVxf9ANo+T+5aTtAIF1y8iPs4znmria9c8klYCfgZsQfbHdAGzgTHAZRExKcfwKp6vnzWXkyuzCidp5YiY2NT3LON/IFvGyX3LSNobOBj4CniP+devM3BDRNyZY3gVzdeuZSRdCFwXEWOLtq8PDPHvbv18/ay5nFyZ2SLN/0C2jJP7lpG0L3BnRMwt2t4e2Csibs8nssrna2dm1cjJlVmVkfR0RGyRdxxmZlY9JO0VESPzjqNa+fpZY3lCC7MKJ2lP4IdAJ6AXMEXS08BEsuEyN0bEozmGWFX8D2TLOLlvGUlnR8RJecdRjXztmkZSO6AvsDiwCnClpC+B8cBXEfF+ftFVPl8/ay4nV2aV7xTgQLJEanpETJW0LLAk0A24FHByVQf/A9kyTu5bRtJqwDbM//n7kaQg/fwBD/u+v9J87VrsQeBTYAYwDdgd2BdYClha0oyIOCDH+Cqdr581i4cFmlU4SVtHxJPNfb+tk/QwC/4DeTsF/0AC/geyHpJeoIHkPiIG5hhiRZP0PHA12c/fdLI/hGzP/J+/XSNip/wirFy+di0j6dqI+HFz32/rfP2suZxcmdkizf9AtoyT+5aR9POIuLS577dlvnZmVo2cXJlVOEmPAwEc7JnZzMysMSQdnF7eFRGf5xpMFfL1s+byPVdmFS4its07hmrmfyBbxsl9y0i6juz6DYuIyXnHU0187VpMeQdQ5Xz9rFlcuTKrEpLWAX4PLAF8D/hVRJyVb1SVT9Ih6eVfnVw1n6Q1IuLtgvW+ngykYZL6pJeTImJOrsFUmYJrN7H4WVfWeJLOjIhTCtZPjIhz8oyp2kj6DrAy8A9gJf+hyerTLu8AzKzR/gQcBSyWPmjsmHM8VSEiRgA3AJflHUuV+3PRuj+cNUJEjEvLAomVpJ3ziqlaRMQ4YHlg3cLtkrbOJ6LqImn59Ee5HSStnZb1Af/sNYGk84EhwG8ioga4Nt+IrNJ5WKBZFYmIydK8kQrt84ylmkRESJomqV9EvJd3PNVE0j7AYGBdSbenzYsBnfOLqnpI6lJqM3Ai2VTPVgdJlwDLAbMlLQccEhFTgNOB7XINrjpsCexBNo39CWQ/d7PxH5qaasOI2C4NkQb/22sNcHJlVj0elHQ9sLKkq4D7co6n2mwJ7CppCtl9HBERm+YcUzV4CHiWrGp6OfM/oH2YZ1BV5H/AM8y/fyPS6/Vzi6h6bFA7zb+kjYC/SToy55iqRkTcDdwtqS/Z72svsuGpM3MNrPrMktQPCEm9AV8/q5fvuTKrIpLWBdYC3oiIV/OOx9oOScsAPwdWA94GLouIz3INqgpIehHYpvh+P0kPR4SH9tZD0j+BrdNQLCStDNwMrBoRvXMNroqk+05/RvZ7uwbZs+luyDeq6pESq7OBNYE3gZM9AsLq4+TKrEpI2j0i7pb0LbIhRTdGxBN5x1UtJG1Idp/QUsBnZP9AvpRrUFVE0j+AvwDPA5sAP4qIXfKNqvJJWhX4ICK+Ltrezclp/SR9D3ilcPIASUsAP/NkPo0naQxZkjpHUgdgdEQMyDuuaiRpZU9mYQ3xhBZm1eO49PUk4BrgvPxCqUqXAodFxGbAEWndGm+JiLg5It6KiJvIZq20BkTEuyUSq2WAw3MKqWpExP0lPsh2AGryiKfKLVnw1VOMN4Gkv6WvxwPXSLop34is0vmeK7Pq0UXSksDciBgj6cu8A6oy7dLsYwDj8B+XmmqSpD8CzwGbAv7rbSOkWQF/n1ZPAnYABpLNYGn1qOPabQOMyC2o6nQqcL+kdsBc4Nc5x1Ntlkpf14uInSU9nWs0VvGcXJlVj+uBu4ETJS0OvJ9rNNXnr5JGAS8DGwAjc42m+hwM/BD4FtnQwFPzDadqnAHsDiwDjAEOLHzmkNXL164MIuJR4NG846hiknQO8E5a9/PqrF6+58rM2oRU9esC9CVLTL+ICFf/GiCpT0SMk7R28XsR8XoeMVUTSY9FxHbp9eja2e+sYb52LSPptIg4XdIdZLNUzhMRg3MKq+qkYbwbAqPIhqVuGhFP5hqUVTQnV2ZVQtJJwH7ADLIx8xERW+QbVfUo/KCW1m/3B4yGSToxIs6RdB3zpxGH7OfvxzmGVhUkTSebYUzMn22s9vfXjwKoh69dy0jqkZ6NuAEwtfC9giHS1gBJPYF9gG6k//9FxBl5xmSVzcMCzarHD4HvhP8i0iSSdgR2AlZPQzsg+39fj/yiqh4psRLwekScm3c8VWjjiPhP3kFUKV+7FoiIyenluZ72v0XuBq4C/LNojeLkyqx6vET2EEhPJNA0/wFmAb2Be9O22cBpuUVUZSIiJG0sqX1EzM07nipzJbBdg62sFF+78nhb0lCyyWhqwEN6m+iTiLgm7yCseji5MqsemwJPSJpKNjzLQ2MaIQ1/GUd27VYDViL7f9+GwOg8Y6syKwFvSnqZ+T9/HlbZsPaSOlNi+uuI+CqHeKqJr115dCabobL2nrUAPKS38WZKuprsD5wBEBGX5xuSVTInV2ZVIiI2yjuGaibpErLK30bAC0B7nFw1xYF5B1Cl1iermM67Vy29DlyVaYivXXncFxF31K5I2jXPYKrQ3/MOwKqLJ7QwqxKS1iF75ssSwPeAX0XEWflGVT0kPRURW0kaFRGDJN0ZEXvnHVe1kHRvROxSsD4iIg7JM6ZqIOnxiNg27ziqka9deZSYzOdvEbFHjiFVHUnfAVYmS/ZXLPFwa7N5XLkyqx5/AvYFbo2IuWmiBidXjTcrff1K0neBb+cZTLWQtAnZkNTVJR2dNi8GrJpfVFVlSt4BVDFfuxaQ9BPgcGBNSc8yv+r3eK6BVRlJ55NNwT4gIv4u6VqySZLMSnJyZVZF0rS6teXm9rkGU32OkdQJOB44GvhFzvFUi1nAF2RTOdc+F2w22UOFrQERsZekNYDBZPetfQDcHhFv5xtZ5fO1a5mI+D/g/yTtERF/yzueKrZhRGwnqTYp9b+9Vi8nV2bV40FJ1wMrS7oKuC/neKqCpE4RMRN4l+wfxfHAyflGVT0i4mXgZWBESk67U2KCAStN0l5kP29Xks3WtjJwk6RzImJkrsFVOF+7snle0u/JEtTa5zR5QovGmyWpHxCSegMz8w7IKpvvuTKrIpLWBdYC3oiIV/OOpxpIuiAiji/4q2OtKLwPweon6USyZ631AyYAX/h+mIZJ+iewc0R8UbBtCeCBiNgqv8gqn69deUgaDZwLnAKcCWwfEcflGlQVSYnV2cx/kPXJEfFevlFZJWuXdwBmVj9J35HUNa1+RDaF+AHpqfHWgIg4Pn3dtmhxYtU0e0XEALIPF5uS/Sxaw2YVJgcAaX12TvFUE1+78pgTEfcAM9PXtfIOqJpExHvpsRMDgKFOrKwhTq7MKt/lwIz0+gbgLeBJ4Pq8Aqomkh6X9FipJe/Yqkzh/VZrAuvkGEs1eUPSEYUb0kQDb+YUTzXxtSuPDyQtDrws6Vay515ZAyRdKWnp9PrHwFPAw5J+mm9kVuk8LNCswhVMHb40MCYi1k7bH3P1pWHpPiGA04FHgGeBTYCdIuKk3AKrMpK2B/4JfIfsPpiRETEi36gqX/r5+w3Z7GI1afNDwB8iYladHc3XrgwkDSC7V+0t4FVgA+BNP4S5YZKejIit0+u3ya7dV8BTEbFlnrFZZXNyZVbhJD0MXABsBSwWESdJEvBMRGyWb3TVo/iZObVJa44hVYU0FfuZZB/Q3gROjIh38o2q+kk6NyJ+lXcc1cjXrnHSxEc9yZKqLYAHI2J4vlFVD0ljImKApA2AM2uf8ydpdEQMzDc6q2SeLdCs8g0FjiH7i9mZaVs/4KrcIqpOr0m6CXiBrPryWs7xVIvLgKPIPqANBC4Gdqm3hzVG/7wDqGK+do2zVkHlpT3wKODkqvFukzQGWJbs/4FIWpn5z0w0K8mVKzNrMyRtBKwOvBMRL+QdTzUoHn7q4ajlIemhiPCDSJvB165xJI1lwcdOnFW7HhF+lEcjpNkpa2qHUaahqh2KJ1oxK+TkyszahDSUcjsWfNbLDbkGVQUkTWf+BAIim8ziLbKp7DfNLbAqIek5oPgfWgFrRES3hR9R9fC1axlJp9XxVkTEGQs1GLM2xMmVmbUJkm4nez7TLsC9QM+IOCDfqMzMzGxR4nuuzKpEeq7V3sAyzK+8+K+Pjdc9IgZL2igifinprrwDqgaSDk4v74qIz3MNpgr5+jWfr13LpAenB3BwREzMOx6ztsLJlVn1uJtsEou38w6kSs2R1A6YKulIYLW8A6oSyjuAKufr13y+di1QODuqNZ+kk4AfkU0qJbJhlVvkG5VVMg8LNKsSkv4REbvmHUe1ktQdmAIsBxwAPBoRL+cblZmZVTJJzwADwh+YrZHa5R2AmdVP0tGSjgZmSrpa0k8LtlkDJK0taW1geeBbZMnVA8DsXAOrEpJubOD9mxZWLNXI16/5fO2sQrwE9Mo7CKseHhZoVvm+TF//XrTdf0VrnLoeNhrAjxdmIFVqBUn/IPs5nAb8hazytxTQDfggv9Cqgq9f8/naWW4KZqtsDzwhaUp6yzOlWr08LNCsSkg6MyJOKVg/MSLOyTMmaxvSZCqdgFWAkcCeZDMvzoiIj/OMrRr4+jWfr115SeoF3AE8EhG/zTueaiDpWxHxn4L1fhHxXp4xWWVzcmVW4SQtD/QArgWGps3tgYsiYvvcAqsSafKKVyPiqTR2vh3Z9bshIi7ON7rqI+n7fgBp8/n6NZ+vXflIWiEiPsk7jmpQ4kHqt0fE4Dxjssrm5MqswknaHdgD+C5wP9lsRbOB+yPC04k3QNLoiBiYXj/+/+3dfZTdVX3v8fcnGaQQiAEJD5UnlbW0qXaJgEoFA0FjQG+rPFkblYggkmvXVWOjrYtbrdX6gCCRIgq9EpIuCsUAPlRRgaDhQUkWcAtCEYEUS0AumoAQQyCf+8fvN/VkOsmcOTOwzx4/r7VmzTm/35k5n7MXZM73/Pb+btuHtxsKX2l7duF4ERHPiLSyHxtJxwHHAzOB5e3hAWA720eWyhX9L2uuIvqc7SuAKyQdaHvl4HFJexWMVZOnOm6/H5oJ85Iml4lTF0kX0Gy6vML2mvbYLsDrgTm2TygYr+9l/HqXsRuztLIfm+8CPwZOBb7UHtsIrCmWKKqQboER9ThT0psAJJ0I/GPhPLVYP1iIDrZel7QPsKFoqnqcAmwHnC3p5nZq5bk0H86dXDRZHTJ+vcvYjYHtxcCFwNmls9TI9jrbq4FHgfvb248Any+bLPpdpgVGVELSdsD5wMtpFnZ/zPamoqEq0LZhPx+4jqa72J7Aq4F3276zZLaaDLOoe1/b9xWMVJWMX+8ydmMjaRFwZpow9EbSe2imB34ZmA+cYfsbZVNFP8uVq4h6HAP8PvBFmjngB5aNUwfbP6EZr68D/wlcBhyWwmrUzh1yP50qRyfj17uM3di8BrhK0kpJN0n6celAlbmA5oO5M4FvprCKkWTNVUQ9XgLMtr1R0qU0Uz3+rHCmvjdkUfcPi4apUMei7pdKuqQ9PEAzXStGkPHrXcZufNg+oHSGyn2P5u/tu4C/lrTM9tGFM0Ufy7TAiJjQJA0uel+WjlmjJ+m5NBu2ngqcw2+7Va5x/oCMKOPXu4zd+JC0P83VvqnAWuAjtm8uGqoiknaz/VDH/ZfbvqVgpOhzKa4i+pykL9k+tWO3+MEOUNklPp41knYE3gM8DziN5irqt8umqkfGr3cZu7GRtAKYa3u1pH2BpbYPKRyr70n6U9tXSJo/9Jztc0pkijpkzVVEn7N9avv9INuvbL8flMKqO5KWjHB+6bOVpXJLgHuBQ20/DSwonKc2Gb/eZezGZlLb6Q5gNXnv163ftN8fH+YrYovyP1hEn5N0Ujs9BkkHSbpW0nJJh5bOVonpkr4p6WJJX5F0uKTzJV0i6btsvg9WbNkOtpfRTMuC7KEzWhm/3mXsxmZZ+zfjLJrNcL9WOE8trobNWto/ADzY3o7YojS0iOh/77Z9fnv7POBY4JfAFUAKrBHYniNpd2BbYG+aNxZHA/cD623/omS+iqyRNA+YImku8PPCeWqT8etdxm5svkxz9W9f4FPAr4umqcfVko5q1+ouAqYA/4+mycq7iyaLvpYrVxH970mAdiPc9bbvtv1LcsWla7YftL267RY4z/aK9n4Kq+6dRPPmYiWwE80amOhexq93GbuxucL2Q7Z/1DZm+GrpQJXYZPsxSc8BjrJ9ou2FwAtLB4v+litXEf1vtaTPAH9EOx1B0vbAc4qmqpTtfy2doVK70XRs2x54C82b3AeLJqpLxq93GbseSHo9MBvYT9Lg3mADNOMZI9tG0lRgFs0m9IN+r1CeqES6BUb0OUmTgTcAT9he3h7bHdjL9k0ls9VA0gXAt4AVtte0x3YBXg/MsX3CVn48WpKW2z5M0hnAw8AbbB9WOFY1Mn69y9j1RtI+NFMBTwW+1B7eCPxbtqUYmaRZwCdoZo+caPteSfsBCwYbTUUMJ9MCI/rfXGAXYNXggXaaWwqr7pxCs+no2ZJulnQjcC7NJ7gnF01Wl8EmAtNs/z35+zFaGb/eZex60E59vtb2n9GsU9tE8+/e/mWT1cH21bZfY/tw2/e2x+5OYRUjybTAiP6XzlhjYHsDcKGkG23fNXhc0r62nywYrTb3SLoeWCRpgOaNWnQv49e7jN0YSFoEPB84gOZDusnAD4qGqoCka2j2lnyn7TRRia5lWmBE/E6QdLXtWR33L7F9fMlMtZE0YPspSQJ2tP1o6Uw1yfj1LmPXO0krbB/SMb3yUtvHls4VMVHlylVEn5O0xPY7tnJ+qe23P5uZaiLpOJrWuS+VdEl7eIBmqmB0qV1/MF/STjTTskyz0Du6kPHrXcZuzAav0D8haQ7wkpJhIia6XLmK6HOSvkPTdv1xYB1wEc06rKnANOAB2/NK5et37QbM02gWdZ9DM81yI7DG+Qewa5Juodlj7f7BY+2Uy+hCxq93GbuxkfRS4KfAC4D5wDdsf69sqoiJK8VVRAWyCe7YSdqRZn+c5wGnAbNtf7tsqnpIuhQ4LgVpbzJ+vcvY9UbStrY3tFt3bMb2EyUyRfwuSHEVUZl2x/js1TRKki6n2SfsA7YPlfR9268rHKsakq4DdgZuaw85a9a6l/HrXcauN5LOsP3BtjFDJ3euP43uSXo+8C/A923/79J5oj+luIqI3wmDxdRgYwtJV9k+onSuWrR75mzG9uoSWWqU8etdxi76jaTpth8unSP6U/aKiOhzki6QdJykPTqO7SLpbZIWl8xWmTWS5gFTJM2l2fcluvcIzbqXU2jGbkbZONXJ+PUuY9cDSddIunq4r9LZaiDpne3XjkPPpbCKrUlxFdH/sgnu+DgJmAKsBHaiWX8V3VsK3AscavtpYEHhPLXJ+PUuY9ebOcCRwI+BTwFvBj4JZAP67ojsMxk9SHEV0edsb7B9IfBXtve3/ep2j5IfZhPcUdmNplvgQmAtTYEV3dvB9jKaTouQNx2jlfHrXcauB+3fjg3Aq2x/3/ajtq8CXlU6Ww1sL6ZZp3t26SxRlxRXEfU4d8j9zxZJUa8L225jnwD2Av65cJ7aZFrl2GT8epexG5vbJS2V9AFJS4DbSweqRfs3Y52kF5TOEvVIQ4uIPtexCe5MYHl7eADYzvaRpXLVRtK1tmdK+j+2T5T0A9uvLZ2rFpK2pZlaOQO4A/hKrpx2L+PXu4zd2Ek6ANgPuNv2qtJ5aiJpFc1Mh1/SbGBt268smyr6WYqriD6XTXDHh6SvAi8GFgGX0rTSPaxoqIpI+hxwpu0H2vvzbZ9TOFY1Mn69y9iNjSQBs4Dfp51S2U41j4hnQIqriEpkE9yxkzRg+6n2zcaOth8tnakWku4AHgAW2l412NK+dK5aZPx6l7EbG0mX0Gw6/0bgW8DutueWTVUPSfvTTMOfSrNe9yO2by4aKvraQOkAEdG1JTSLa99s+2lJC4AUV12SNAuYL2knmvWmpvk0N7qzBjgaWCzpotJhKpTx613Gbmx2tX28pANsL5B0WelAlfkiMNf2akn70nSvPKRspOhnaWgRUY90zBqbM4CPAEfx2xbF0T3ZXkfzJvcQ4MDCeWqT8etdxm5snpI0CfiVpPcCLyodqDKTOjatXk3eO8cIMi0wohJtl6eraNZeLaKZFnhC2VT1kHQpcFzWqfVG0iTbmzq+72k7Xdu6lPHrXcZubCTtStOM4XnAXOAq27eWTVUPSR8C3gTcCrwc+LrtzxcNFX0txVVEJYbpmHVeu4dJdEHSdcDOwG3tIds+vmCkqkiaTbMR6ZPANsBHbX+3bKp6ZPx6l7HrjaQZWzpn+yfPZpaateudtwf2Be4Dfm378ZKZor+luIqohKS9aRYlbw+8habb3YNlU9VD0j5Dj3VM9YgRSLqB5mrpY5KmAlfaPrh0rlpk/HqXsetN2yF1OLZ94rMapmJDG6hIuiQfzMXWpKFFRD0utH2YpE8AD9NsgntY2UhVeQQ4hY5uizTz56M7Ata3t9eTNX+jlfHrXcauB7bfVTpDzSS9nubvxH6SPtseHgB2K5cqapDiKqIeg28optn+oKQ0ZBidpaTb4licBaySdB+wD/DpsnGqk/HrXcauB23zittsr5B0I00jhsk0H9SdVTZdFe6imYq6F00Le2gaSv1NsURRhRRXEfW4R9L1wCJJA8Cm0oEqs4PtZZLe197Pp99davcFGwD2B6YDD9vOf39dyvj1LmM3Jn9u+7Xt7fW2D2/H80qagjW2op02vhq4VtKLaDZhHvxv8Qcls0V/S3EVUQnb7xqyCe6flM5UmTWS5gFTJM0F0m2sS7Yt6RjbS4CHSuepTcavdxm7MXmq4/b74b/Gc3KZOHWStAh4PnAAsIrm6l+Kq9iiFFcRlcgmuGN2Uvu1EtgJOLlsnDpImmZ7LTBZ0nKa8TPN+7SFJbPVIOPXu4zdmK2XtJft+wdbr7eNfdJldnReYfsQScttH9Nu6xGxRSmuIupxBnAsTcfAGL2/A860/Q8AkuYD55SNVIUrgJnAq2j++xucTplWs93J+PUuYzc2fwlc3G5D8QCwJ/Bq4N1FU9Xnyfb7E5LmAC8pGSb6X1qxR1Qim+COjaQ7aN5gLLS9amh73RiepK/TrO/7Y2D54GGyT1hXMn69y9iNnaRtaAqqPWj+/fuR7Y1lU9VF0kuBnwIvAOYD37D9vbKpop+luIqoRDbBHRtJV9PsD7YYuAg4JcVVdyTtAXwB2GwqVvYJ607Gr3cZu95Jemd78zLbjxUNUyFJ29reIGn7oedsP1EiU9QhxVVEJbIJ7thIuqbtljWJplPWCbanls4VEfFMkHRCe3NZiqvRk3RGu+3JNUNOOR/MxdakuIqohKQdGLIJru3s09QlSZNsb+r4vqftdAyMiIiIcTOpdICI6NpS4F7gUNtPAwsK56nN6yStBFZIugmYUTpQRMQzRdKSEc4vfbay1EjSNZKuHu6rdLbob+kWGFGPbII7Nh8HDrf9mKSpNBtpfrdwpoiIZ8p0Sd8EHgfW0aw1nQtMBabRNLiILZvTfv848H3gx8BBwOxiiaIKKa4i6pFNcMdGwPr29npSnEbEBGZ7jqTdgW2BvYGvAUfTbOex3vYvSubrd7Y3AEh6le2PtIevknRawVhRgRRXEfXIJrhjcxawStJ9wD7Ap8vGiYh4Ztl+sL25WtI82yuKBqrT7e0UylXAK4DbC+eJPpeGFhGVkPQ5mk1wH2jvz7edTXC7IEnA24F/AqYDD9veVDZVRETUQNIBwH7A3bZXlc4T/S0NLSLq8SZgSfuPPMCxJcPUpN14+Rjbm2w/lMIqIiY6SRdIOq7dK2zw2C6S3iZpcclsNWk/nJsGPAf4w479wyKGlWmBEfVYQzNffrGki0qHqYWkabbXApMlLaeZVmmammvh1n42IqJipwBvBc6W9EJgA81a3SvItPLRuJhmndobgW8BuwMXFk0UfS3FVUQ9ZHudpKNp1g8dWDpQJa4AZgKvornaN9jIInOiI2LCahsyXCjpRtt3DR6XtK/tJwtGq82uto+XdIDtBZIuKx0o+luKq4h6HDF4w/ZfSPpMyTAVWSfp8vZ2Zxt7Az8okigi4tlzLjCr4/5ngeMLZanRU5ImAb+S9F7gRaUDRX9LQ4uISkiaDXwKeBLYBvio7ezT1IV2zcEXgM2mAdpeXSRQRMQzTNJxNEXUTGB5e3gA2M72kaVy1UbSrsAvgefR7BN2le1by6aKfpbiKqISkm4AZndugmv74NK5IiKi/0h6Lk0jhlOBc2iu2G8E1jhv/kYkacaWztn+ybOZJeqSaYER9cgmuBER0RXb62imRX8SeA/NlZfTgDnAt0tmq8RfbuG4gROfzSBRlxRXEfXIJrgRETFaS2i6273Z9tOSFpDiakS231U6Q9QpxVVEBdp9NgaA/ckmuBER0b0dbC+T1NnQJ0bQNq+4zfYKSTfS7A07GbjQ9lll00U/yybCERXIJrgREdGjNZLmAVMkzaXZ6ypG9ue2V7S319t+Jc0WKG8smCkqkCtXEfXo3AR3E0A2wY2IiBGc1H6tBHaiWX8VI3uq4/b7ofmgU9LkMnGiFimuIvqcpGm21wKnl84SERHV2Y2mW+D2wFtoCqwHiyaqw3pJe9m+f7D1uqR9gA2Fc0WfSyv2iD4n6VrbMyVdbPutpfNEREQ9JC23fZikM4CHgTfYPqxwrL7XtmI/H7gOeADYE3g18G7bd5bMFv0tV64i+t86SZcDB0u6pPOE7ePLRIqIiEoMNrCYZvuDkrKBcBds/0TSTJqCag/gJuAjtjeWTRb9LsVVRJ+z/SeS9gC+AGSNVUREjMY9kq4HFkkaoF2zG1sn6Z3tzcts/7BomKhKpgVGRERETGCSBmw/1W7rsaPtR0tn6neSTmhvLrP9WNEwUZUUVxERERETlKRZwHyaRhaTaJrezSqbKmLiSnEVERERMUFJugU4Frh/8JjtdLwbgaQltt+xlfNLbb/92cwUdciaq4iIiIiJ627gZ86n6aM1XdI3gceBdcBFwFxgKjCNpoNgxH+TK1cRERERE5Sk64CdgdvaQ06n2e5I2h3YFtgb+BpwNM0VwPW2f1EyW/SvFFcRERERE1S78e1mbK8ukaVmko6y/a+lc0T/m1Q6QEREREQ8Yx6hWXN1CvBzYEbZOHVKYRXdSnEVERERMXEtBe4FDrX9NLCgcJ4qSLpA0nHtPpODx3aR9DZJi0tmi/6W4ioiIiJi4trB9jJgY3tfJcNU5BRgO+BsSTdLuhE4l6YZ3MlFk0VfS7fAiIiIiIlrjaR5wBRJc2mmBsYI2nb1F0q60fZdg8cl7Wv7yYLRos/lylVERETExHUSMAVYSbORcK66jM65Q+5/tkiKqEa6BUZERERMUJI+B5xp+4H2/nzb5xSO1fckHQccD8wElreHB4DtbB9ZKlf0vxRXEREREROUpDtoNrxdaHuVpKttzyqdq99Jei7NZsGnAufQrFXbCKzJhsyxNZkWGBERETFxraHZ/PY0SW8tHaYWtte1+4F9EjiOpsHFQ8CcosGi76W4ioiIiJi4ZHsdTYF1CHBg4Ty1WUJa2ccopLiKiIiImLiOGLxh+y/IJsKjlVb2MSopriIiIiImrtdJWgmskHQTKa5GK63sY1TS0CIiIiJigpJ0AzDb9mOSpgJX2j64dK5aSNqWpp39DOAO4Lx2D6yIYWUT4YiIiIiJS8D69vZ6Mq1ttHaj6Ra4PfAWmr3CHiyaKPpapgVGRERETFxnAaskXQHcBHyhbJzqXNi2Xv8EsBfwz4XzRJ/LlauIiIiICUiSaN7r7Q9MBx62valsquoMXumbZvuDkrKBcGxVrlxFRERETEDtFZdjbG+y/VAKq57cI+l64LuSBoCMYWxVGlpERERETFCSvgHsCKykLQxsLywaqjKSBmw/1V4J3NH2o6UzRf/KtMCIiIiICUbSNNtrgdNLZ6mZpFnAfEk70cz4MjCrbKroZ7lyFRERETHBSLrW9kxJF9t+a+k8tZJ0C3AscP/gsbRij63JlauIiIiIiWedpMuBgyVd0nnC9vFlIlXpbuBnztWI6FKuXEVERERMQJL2oGm9vtkaK9uriwSqkKTrgJ2B29pDTnEaW5PiKiIiIiJiGJL2GXosxWlsTVqxR0REREQM7xGaNVenAD8HZpSNE/0uxVVERERExPCWAvcCh9p+GlhQOE/0uRRXERERERHD28H2MmBje18lw0T/S3EVERERETG8NZLmAVMkzaWZGhixRSmuIiIiIiKGdxIwBVgJ7AScXDZO9Lt0C4yIiIiIGIakzwFn2n6gvT/f9jmFY0Ufy5WriIiIiIjhvQlYIumA9v6xJcNE/xsoHSAiIiIiok+tAY4GFku6qHSY6H+5chURERERMTzZXkdTYB0CHFg4T/S5rLmKiIiIiBiGpEm2N3V839N2OgbGFuXKVURERETE8F4naSWwQtJNwIzSgaK/5cpVRERERMQwJN0AzLb9mKSpwJW2Dy6dK/pXrlxFRERERAxPwPr29vr2fsQWpVtgRERERMTwzgJWSboP2Af4dNk40e9SXEVEREREDCFJNO+V9wemAw/b3lQ2VfS7TAuMiIiIiBjCTWOCY2xvsv1QCqvoRq5cRUREREQMb7Kk5cBKYBOA7YVFE0VfS3EVEREREdFB0jTba4HTS2eJuqQVe0REREREB0nX2p4p6WLbby2dJ+qR4ioiIiIiooOkr9NMAzwYuLbznO3ji4SKKqS4ioiIiIgYQtIewBeAzdZY2V5dJFBUIcVVRERERETEOEgr9oiIiIiIiHGQ4ioiIiIiImIcpLiKiIiIiIgYBymuIiIiIiIixkGKq4iIiN8RkuZJWls6R0TERJXiKiIiIiIiYhykuIqIiOpJmiTpw5LulrRB0n9I+mh77mWSrpa0XtIjkr4iaYeOn71A0uWSPiRpTfuYf5C0Tcdj5kv6qaTfSHpI0qUd5yRpoaR72ue4VdKxQ/IdJemu9vw17RUkS5rWnv+YpFuG/Mz7Jd035Ni7JN3R5rhT0vyOc/u2v/Po9jmeaLMc3J4/DPgq8Nz2cZb0sZFeX0REdG+gdICIiIhx8PfAycAHgBXAHsBLJG0PfAe4ETgI2BU4HzgbmNfx84cDa9rv+wEXA7cA50k6EFgEvAO4HtgZOLTjZ/8OOBo4Ffgp8FpgqaSHbV8raS9gGXAu8CXgQODzo32Bkk4GPg68D7gZ2L/N97jtxR0P/STwoTbLJ4GLJO3XZn8/8LfAi9vH/rqL1xcREV1KcRUREVWTtCPwv4D3dRQZPwNWtAXJdsA7bT/ePv59wDckfdj2Q+3jf9X+/NPAnZK+BRwBnAfsDTwOfNP2Y8BqmuIGSVOADwKzbN/Q/q57JB0CnAJcS1N03QN8wLaBf5f0MuDDo3yppwELbC9r798raUb7PJ3F1em2v9Xm+xvgdmA/23dKWgfY9oMd47fF1xcREaOT4ioiImr3B8C2wFVbOHfrYGHVuo5mWvyLgcHi6va2sBq0BnhZe/t7NAXHPZK+Q3Ml7DLbTwAzgN8Dviep83mfw28LlD8AbmwLq0E3MAqSpgN7Af8o6byOUwPAuiEP/79DXgc0V+zu3MKv39rri4iIUUhxFRERtVu/lXMCvIVzncc3DnNuEoDtxyS9AjgMmE0zre5jkg7it2uX3wj855DfsaEjw0g2DfO4bTpuDz7PycCPhjzu6SH3O1/L4Gvc4hrrrb0+22tHTB4REf8lDS0iIqJ2P6UpsI4Y5txPgJe30/cGvYammLmr2yew/ZTt79teCPwRsC8wq/39G4C9bd895Ov+jgyvHvIrh95/GNhdm1/+ennH8z9EU7y9cJjnubfb1wE8CUwexeuLiIhRyJWriIiomu3fSPoM8FlJT9JM+5sO/CHwTzRNIBa3nfGmA18ElnSst9oqSW8CXgj8gGZt1lE0H07+e3vV53TgTEmTaJppTAX+GPh1uwbsXGCBpDOALwMHsHkzDYDlbbaFbae+OcCRwKMdj/kYsEjSo8C3aaZCHgjsZPuMbl4LcB+wg6QjgFuBJ2iKqGFfX5e/MyIiWrlyFRERE8EnaDrw/S1wB023v13bdUNvoOmAdxNwKc3arPeN4nevpekGeHX7u98LvM327e3509rn/av2/JXA/wDuBbD9H8Ax7bFb25//684nsH0HMB/4n+1jXgmcPuQx5wMn0RRm/0bTLGPe4PN0w/b1NMXexTRXyxZ28foiIqJL2nx9bURERDzT2j2nrqG56rS2aJiIiBg3uXIVERERERExDlJcRUREREREjINMC4yIiIiIiBgHuXIVERERERExDlJcRUREREREjIMUVxEREREREeMgxVVERERERMQ4SHEVERERERExDlJcRUREREREjIMUVxEREREREeMgxVVERERERMQ4SHEVERERERExDv4/qC4BognnwVsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 900x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6),dpi=100)\n",
    "sns.heatmap(matrix3, annot=True)\n",
    "plt.title('HeatMap - ForLiftMatrix')\n",
    "plt.yticks(rotation=0, fontsize= 6)\n",
    "plt.xticks(rotation=90, fontsize= 6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "2976a405",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,6))\n",
    "sns.barplot(\"support\",\"confidence\", data=lift3)\n",
    "plt.title(\"Support vs Confidence\", fontsize= 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29898857",
   "metadata": {},
   "source": [
    "# THE END !!"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}