ApiroriAlgorithm.ipynb

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  "metadata": {
    "colab": {
      "name": "ApiroriAlgorithm.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyPLkf950t3E+mmfYEw/Nc+f",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/sekadiv/AI-ML/blob/main/ApiroriAlgorithm.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "99zkdBHh_sGy"
      },
      "source": [
        "**Importing Libraries**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qONLrQZQO1E1"
      },
      "source": [
        "import numpy as np\r\n",
        "import pandas as pd\r\n",
        "from IPython.display import Image\r\n"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "M2WzRSw7_4qC"
      },
      "source": [
        "Loading DataSet"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qJwnZrAVPPBf"
      },
      "source": [
        "Market_Data=pd.read_csv(\"Market_Basket_Optimisation.csv\",index_col=None, header = None)"
      ],
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 229
        },
        "id": "pi1DQUV8ZpJz",
        "outputId": "24a611a9-bb31-45d1-89dc-651eca6bb5a7"
      },
      "source": [
        "Market_Data.head(4)"
      ],
      "execution_count": 51,
      "outputs": [
        {
          "output_type": "execute_result",
          "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>0</th>\n",
              "      <th>1</th>\n",
              "      <th>2</th>\n",
              "      <th>3</th>\n",
              "      <th>4</th>\n",
              "      <th>5</th>\n",
              "      <th>6</th>\n",
              "      <th>7</th>\n",
              "      <th>8</th>\n",
              "      <th>9</th>\n",
              "      <th>10</th>\n",
              "      <th>11</th>\n",
              "      <th>12</th>\n",
              "      <th>13</th>\n",
              "      <th>14</th>\n",
              "      <th>15</th>\n",
              "      <th>16</th>\n",
              "      <th>17</th>\n",
              "      <th>18</th>\n",
              "      <th>19</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>shrimp</td>\n",
              "      <td>almonds</td>\n",
              "      <td>avocado</td>\n",
              "      <td>vegetables mix</td>\n",
              "      <td>green grapes</td>\n",
              "      <td>whole weat flour</td>\n",
              "      <td>yams</td>\n",
              "      <td>cottage cheese</td>\n",
              "      <td>energy drink</td>\n",
              "      <td>tomato juice</td>\n",
              "      <td>low fat yogurt</td>\n",
              "      <td>green tea</td>\n",
              "      <td>honey</td>\n",
              "      <td>salad</td>\n",
              "      <td>mineral water</td>\n",
              "      <td>salmon</td>\n",
              "      <td>antioxydant juice</td>\n",
              "      <td>frozen smoothie</td>\n",
              "      <td>spinach</td>\n",
              "      <td>olive oil</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>burgers</td>\n",
              "      <td>meatballs</td>\n",
              "      <td>eggs</td>\n",
              "      <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>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>2</th>\n",
              "      <td>chutney</td>\n",
              "      <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>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>3</th>\n",
              "      <td>turkey</td>\n",
              "      <td>avocado</td>\n",
              "      <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>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",
              "</div>"
            ],
            "text/plain": [
              "        0          1        2   ...               17       18         19\n",
              "0   shrimp    almonds  avocado  ...  frozen smoothie  spinach  olive oil\n",
              "1  burgers  meatballs     eggs  ...              NaN      NaN        NaN\n",
              "2  chutney        NaN      NaN  ...              NaN      NaN        NaN\n",
              "3   turkey    avocado      NaN  ...              NaN      NaN        NaN\n",
              "\n",
              "[4 rows x 20 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 51
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "WeHLdQ6rZrc1",
        "outputId": "c42a65ab-e374-421a-f113-8bc93fa1e45e"
      },
      "source": [
        "Market_Data.shape"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(7501, 20)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Wt3iMgvfw7cc"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cx8VUh-KaUhQ"
      },
      "source": [
        "# Converting the market data set into a nested list\r\n",
        "Dataset = []\r\n",
        "\r\n",
        "for index, transaction in Market_Data.iterrows():\r\n",
        "    cleaned_transaction = transaction[~transaction.isnull()].tolist()\r\n",
        "    Dataset.append(cleaned_transaction)"
      ],
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "i2fut6eqaZsy",
        "outputId": "3fb8bc73-75cd-4bd7-f396-72847201b0d3"
      },
      "source": [
        "Dataset[:5]"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[['shrimp',\n",
              "  'almonds',\n",
              "  'avocado',\n",
              "  'vegetables mix',\n",
              "  'green grapes',\n",
              "  'whole weat flour',\n",
              "  'yams',\n",
              "  'cottage cheese',\n",
              "  'energy drink',\n",
              "  'tomato juice',\n",
              "  'low fat yogurt',\n",
              "  'green tea',\n",
              "  'honey',\n",
              "  'salad',\n",
              "  'mineral water',\n",
              "  'salmon',\n",
              "  'antioxydant juice',\n",
              "  'frozen smoothie',\n",
              "  'spinach',\n",
              "  'olive oil'],\n",
              " ['burgers', 'meatballs', 'eggs'],\n",
              " ['chutney'],\n",
              " ['turkey', 'avocado'],\n",
              " ['mineral water', 'milk', 'energy bar', 'whole wheat rice', 'green tea']]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pn0o1C5EykFo"
      },
      "source": [
        "for transaction in Dataset:\r\n",
        "  for item in transaction:\r\n",
        "    print(item)\r\n",
        "  "
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4ILoZEuFANKP"
      },
      "source": [
        "##Creating Itemset for K=1"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oe-J0UYGw_gX"
      },
      "source": [
        "def createItem(dataSet):\r\n",
        "    \r\n",
        "    itemlist = []\r\n",
        "    \r\n",
        "    for transaction in dataSet:\r\n",
        "        for item in transaction:\r\n",
        "            if not [item] in itemlist:\r\n",
        "                itemlist.append([item])\r\n",
        "    \r\n",
        "    itemlist.sort()\r\n",
        "    \r\n",
        "    return list(map(frozenset, itemlist))"
      ],
      "execution_count": 26,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Zoo5xvX5xcwm"
      },
      "source": [
        "unique_list=createItem(Dataset)"
      ],
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4H00Lj39xk-b",
        "outputId": "9d894862-10f7-4516-a9ed-3ab6eaf4124b"
      },
      "source": [
        "unique_list[:5]"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[frozenset({' asparagus'}),\n",
              " frozenset({'almonds'}),\n",
              " frozenset({'antioxydant juice'}),\n",
              " frozenset({'asparagus'}),\n",
              " frozenset({'avocado'})]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "5MWzR3Iyxoj3",
        "outputId": "a7967e32-a345-435b-c9d0-3299dd13a024"
      },
      "source": [
        "len(unique_list)"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "120"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4G9Gx_pxoeyd"
      },
      "source": [
        "def scanData(data, itemsetk, minSupport):\r\n",
        "    \r\n",
        "    tempDict = {}\r\n",
        "    \r\n",
        "    for transaction in data:\r\n",
        "        for item in itemsetk:\r\n",
        "            if item.issubset(transaction):\r\n",
        "                if not item in tempDict:\r\n",
        "                    tempDict[item] = 1\r\n",
        "                else:\r\n",
        "                    tempDict[item] = tempDict[item] + 1\r\n",
        "\r\n",
        "    numitems = float(len(data))\r\n",
        "    freqItemset = []\r\n",
        "    supportDict = {}\r\n",
        "    \r\n",
        "    for key in tempDict:\r\n",
        "        support = tempDict[key]/numitems\r\n",
        "        if support >= minSupport:\r\n",
        "            freqItemset.insert(0,key)\r\n",
        "            supportDict[key] = support\r\n",
        "    \r\n",
        "    \r\n",
        "    return freqItemset, supportDict"
      ],
      "execution_count": 18,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9kkUylxXpTmh"
      },
      "source": [
        "frq,supportdict=scanData(Dataset,unique_list,0.1)"
      ],
      "execution_count": 19,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "yX8iQ9Cbpb2u",
        "outputId": "539f1acb-9569-45fd-8139-68d712493fad"
      },
      "source": [
        "frq"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[frozenset({'chocolate'}),\n",
              " frozenset({'spaghetti'}),\n",
              " frozenset({'french fries'}),\n",
              " frozenset({'milk'}),\n",
              " frozenset({'eggs'}),\n",
              " frozenset({'mineral water'}),\n",
              " frozenset({'green tea'})]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "HNgtU0cvpc3N",
        "outputId": "8cedb4fc-a43e-4074-e050-125483b3d725"
      },
      "source": [
        "supportdict"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{frozenset({'green tea'}): 0.13211571790427942,\n",
              " frozenset({'mineral water'}): 0.23836821757099053,\n",
              " frozenset({'eggs'}): 0.17970937208372217,\n",
              " frozenset({'milk'}): 0.12958272230369283,\n",
              " frozenset({'french fries'}): 0.1709105452606319,\n",
              " frozenset({'spaghetti'}): 0.17411011865084655,\n",
              " frozenset({'chocolate'}): 0.1638448206905746}"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fqNyKz2oAjFz"
      },
      "source": [
        "Creating Higher Order item Sets"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HJK4MfwHuo9C"
      },
      "source": [
        "# Creating Higher order Itemsets\r\n",
        "\r\n",
        "def itemSetGenerator(itemsetk, k):\r\n",
        "        \r\n",
        "    higherOrderitemset = []\r\n",
        "    lenitemsetk = len(itemsetk)\r\n",
        "    \r\n",
        "    for i in range(lenitemsetk):\r\n",
        "        for j in range(i+1, lenitemsetk): \r\n",
        "\r\n",
        "            L1 = sorted(list(itemsetk[i]))[:k-2] \r\n",
        "            L2 = sorted(list(itemsetk[j]))[:k-2] \r\n",
        "\r\n",
        "            # Two frequent itemsets of order k are merged only if their k-1 itemsets are identical\r\n",
        "            if L1 == L2:\r\n",
        "                higherOrderitemset.append(itemsetk[i] | itemsetk[j]) # Performing set union creates itemset with n+1 items\r\n",
        "               \r\n",
        "    return higherOrderitemset\r\n",
        " "
      ],
      "execution_count": 35,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7PVwyHP7uuBg"
      },
      "source": [
        "\r\n",
        "higherorder=itemSetGenerator(unique_list,2)"
      ],
      "execution_count": 36,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "JzhYUshawBsv",
        "outputId": "091c7989-3575-4c38-9187-ee5bcbbbb1bd"
      },
      "source": [
        "higherorder"
      ],
      "execution_count": 39,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[frozenset({' asparagus', 'almonds'}),\n",
              " frozenset({' asparagus', 'antioxydant juice'}),\n",
              " frozenset({' asparagus', 'asparagus'}),\n",
              " frozenset({' asparagus', 'avocado'}),\n",
              " frozenset({' asparagus', 'babies food'}),\n",
              " frozenset({' asparagus', 'bacon'}),\n",
              " frozenset({' asparagus', 'barbecue sauce'}),\n",
              " frozenset({' asparagus', 'black tea'}),\n",
              " frozenset({' asparagus', 'blueberries'}),\n",
              " frozenset({' asparagus', 'body spray'}),\n",
              " frozenset({' asparagus', 'bramble'}),\n",
              " frozenset({' asparagus', 'brownies'}),\n",
              " frozenset({' asparagus', 'bug spray'}),\n",
              " frozenset({' asparagus', 'burger sauce'}),\n",
              " frozenset({' asparagus', 'burgers'}),\n",
              " frozenset({' asparagus', 'butter'}),\n",
              " frozenset({' asparagus', 'cake'}),\n",
              " frozenset({' asparagus', 'candy bars'}),\n",
              " frozenset({' asparagus', 'carrots'}),\n",
              " frozenset({' asparagus', 'cauliflower'}),\n",
              " frozenset({' asparagus', 'cereals'}),\n",
              " frozenset({' asparagus', 'champagne'}),\n",
              " frozenset({' asparagus', 'chicken'}),\n",
              " frozenset({' asparagus', 'chili'}),\n",
              " frozenset({' asparagus', 'chocolate'}),\n",
              " frozenset({' asparagus', 'chocolate bread'}),\n",
              " frozenset({' asparagus', 'chutney'}),\n",
              " frozenset({' asparagus', 'cider'}),\n",
              " frozenset({' asparagus', 'clothes accessories'}),\n",
              " frozenset({' asparagus', 'cookies'}),\n",
              " frozenset({' asparagus', 'cooking oil'}),\n",
              " frozenset({' asparagus', 'corn'}),\n",
              " frozenset({' asparagus', 'cottage cheese'}),\n",
              " frozenset({' asparagus', 'cream'}),\n",
              " frozenset({' asparagus', 'dessert wine'}),\n",
              " frozenset({' asparagus', 'eggplant'}),\n",
              " frozenset({' asparagus', 'eggs'}),\n",
              " frozenset({' asparagus', 'energy bar'}),\n",
              " frozenset({' asparagus', 'energy drink'}),\n",
              " frozenset({' asparagus', 'escalope'}),\n",
              " frozenset({' asparagus', 'extra dark chocolate'}),\n",
              " frozenset({' asparagus', 'flax seed'}),\n",
              " frozenset({' asparagus', 'french fries'}),\n",
              " frozenset({' asparagus', 'french wine'}),\n",
              " frozenset({' asparagus', 'fresh bread'}),\n",
              " frozenset({' asparagus', 'fresh tuna'}),\n",
              " frozenset({' asparagus', 'fromage blanc'}),\n",
              " frozenset({' asparagus', 'frozen smoothie'}),\n",
              " frozenset({' asparagus', 'frozen vegetables'}),\n",
              " frozenset({' asparagus', 'gluten free bar'}),\n",
              " frozenset({' asparagus', 'grated cheese'}),\n",
              " frozenset({' asparagus', 'green beans'}),\n",
              " frozenset({' asparagus', 'green grapes'}),\n",
              " frozenset({' asparagus', 'green tea'}),\n",
              " frozenset({' asparagus', 'ground beef'}),\n",
              " frozenset({' asparagus', 'gums'}),\n",
              " frozenset({' asparagus', 'ham'}),\n",
              " frozenset({' asparagus', 'hand protein bar'}),\n",
              " frozenset({' asparagus', 'herb & pepper'}),\n",
              " frozenset({' asparagus', 'honey'}),\n",
              " frozenset({' asparagus', 'hot dogs'}),\n",
              " frozenset({' asparagus', 'ketchup'}),\n",
              " frozenset({' asparagus', 'light cream'}),\n",
              " frozenset({' asparagus', 'light mayo'}),\n",
              " frozenset({' asparagus', 'low fat yogurt'}),\n",
              " frozenset({' asparagus', 'magazines'}),\n",
              " frozenset({' asparagus', 'mashed potato'}),\n",
              " frozenset({' asparagus', 'mayonnaise'}),\n",
              " frozenset({' asparagus', 'meatballs'}),\n",
              " frozenset({' asparagus', 'melons'}),\n",
              " frozenset({' asparagus', 'milk'}),\n",
              " frozenset({' asparagus', 'mineral water'}),\n",
              " frozenset({' asparagus', 'mint'}),\n",
              " frozenset({' asparagus', 'mint green tea'}),\n",
              " frozenset({' asparagus', 'muffins'}),\n",
              " frozenset({' asparagus', 'mushroom cream sauce'}),\n",
              " frozenset({' asparagus', 'napkins'}),\n",
              " frozenset({' asparagus', 'nonfat milk'}),\n",
              " frozenset({' asparagus', 'oatmeal'}),\n",
              " frozenset({' asparagus', 'oil'}),\n",
              " frozenset({' asparagus', 'olive oil'}),\n",
              " frozenset({' asparagus', 'pancakes'}),\n",
              " frozenset({' asparagus', 'parmesan cheese'}),\n",
              " frozenset({' asparagus', 'pasta'}),\n",
              " frozenset({' asparagus', 'pepper'}),\n",
              " frozenset({' asparagus', 'pet food'}),\n",
              " frozenset({' asparagus', 'pickles'}),\n",
              " frozenset({' asparagus', 'protein bar'}),\n",
              " frozenset({' asparagus', 'red wine'}),\n",
              " frozenset({' asparagus', 'rice'}),\n",
              " frozenset({' asparagus', 'salad'}),\n",
              " frozenset({' asparagus', 'salmon'}),\n",
              " frozenset({' asparagus', 'salt'}),\n",
              " frozenset({' asparagus', 'sandwich'}),\n",
              " frozenset({' asparagus', 'shallot'}),\n",
              " frozenset({' asparagus', 'shampoo'}),\n",
              " frozenset({' asparagus', 'shrimp'}),\n",
              " frozenset({' asparagus', 'soda'}),\n",
              " frozenset({' asparagus', 'soup'}),\n",
              " frozenset({' asparagus', 'spaghetti'}),\n",
              " frozenset({' asparagus', 'sparkling water'}),\n",
              " frozenset({' asparagus', 'spinach'}),\n",
              " frozenset({' asparagus', 'strawberries'}),\n",
              " frozenset({' asparagus', 'strong cheese'}),\n",
              " frozenset({' asparagus', 'tea'}),\n",
              " frozenset({' asparagus', 'tomato juice'}),\n",
              " frozenset({' asparagus', 'tomato sauce'}),\n",
              " frozenset({' asparagus', 'tomatoes'}),\n",
              " frozenset({' asparagus', 'toothpaste'}),\n",
              " frozenset({' asparagus', 'turkey'}),\n",
              " frozenset({' asparagus', 'vegetables mix'}),\n",
              " frozenset({' asparagus', 'water spray'}),\n",
              " frozenset({' asparagus', 'white wine'}),\n",
              " frozenset({' asparagus', 'whole weat flour'}),\n",
              " frozenset({' asparagus', 'whole wheat pasta'}),\n",
              " frozenset({' asparagus', 'whole wheat rice'}),\n",
              " frozenset({' asparagus', 'yams'}),\n",
              " frozenset({' asparagus', 'yogurt cake'}),\n",
              " frozenset({' asparagus', 'zucchini'}),\n",
              " frozenset({'almonds', 'antioxydant juice'}),\n",
              " frozenset({'almonds', 'asparagus'}),\n",
              " frozenset({'almonds', 'avocado'}),\n",
              " frozenset({'almonds', 'babies food'}),\n",
              " frozenset({'almonds', 'bacon'}),\n",
              " frozenset({'almonds', 'barbecue sauce'}),\n",
              " frozenset({'almonds', 'black tea'}),\n",
              " frozenset({'almonds', 'blueberries'}),\n",
              " frozenset({'almonds', 'body spray'}),\n",
              " frozenset({'almonds', 'bramble'}),\n",
              " frozenset({'almonds', 'brownies'}),\n",
              " frozenset({'almonds', 'bug spray'}),\n",
              " frozenset({'almonds', 'burger sauce'}),\n",
              " frozenset({'almonds', 'burgers'}),\n",
              " frozenset({'almonds', 'butter'}),\n",
              " frozenset({'almonds', 'cake'}),\n",
              " frozenset({'almonds', 'candy bars'}),\n",
              " frozenset({'almonds', 'carrots'}),\n",
              " frozenset({'almonds', 'cauliflower'}),\n",
              " frozenset({'almonds', 'cereals'}),\n",
              " frozenset({'almonds', 'champagne'}),\n",
              " frozenset({'almonds', 'chicken'}),\n",
              " frozenset({'almonds', 'chili'}),\n",
              " frozenset({'almonds', 'chocolate'}),\n",
              " frozenset({'almonds', 'chocolate bread'}),\n",
              " frozenset({'almonds', 'chutney'}),\n",
              " frozenset({'almonds', 'cider'}),\n",
              " frozenset({'almonds', 'clothes accessories'}),\n",
              " frozenset({'almonds', 'cookies'}),\n",
              " frozenset({'almonds', 'cooking oil'}),\n",
              " frozenset({'almonds', 'corn'}),\n",
              " frozenset({'almonds', 'cottage cheese'}),\n",
              " frozenset({'almonds', 'cream'}),\n",
              " frozenset({'almonds', 'dessert wine'}),\n",
              " frozenset({'almonds', 'eggplant'}),\n",
              " frozenset({'almonds', 'eggs'}),\n",
              " frozenset({'almonds', 'energy bar'}),\n",
              " frozenset({'almonds', 'energy drink'}),\n",
              " frozenset({'almonds', 'escalope'}),\n",
              " frozenset({'almonds', 'extra dark chocolate'}),\n",
              " frozenset({'almonds', 'flax seed'}),\n",
              " frozenset({'almonds', 'french fries'}),\n",
              " frozenset({'almonds', 'french wine'}),\n",
              " frozenset({'almonds', 'fresh bread'}),\n",
              " frozenset({'almonds', 'fresh tuna'}),\n",
              " frozenset({'almonds', 'fromage blanc'}),\n",
              " frozenset({'almonds', 'frozen smoothie'}),\n",
              " frozenset({'almonds', 'frozen vegetables'}),\n",
              " frozenset({'almonds', 'gluten free bar'}),\n",
              " frozenset({'almonds', 'grated cheese'}),\n",
              " frozenset({'almonds', 'green beans'}),\n",
              " frozenset({'almonds', 'green grapes'}),\n",
              " frozenset({'almonds', 'green tea'}),\n",
              " frozenset({'almonds', 'ground beef'}),\n",
              " frozenset({'almonds', 'gums'}),\n",
              " frozenset({'almonds', 'ham'}),\n",
              " frozenset({'almonds', 'hand protein bar'}),\n",
              " frozenset({'almonds', 'herb & pepper'}),\n",
              " frozenset({'almonds', 'honey'}),\n",
              " frozenset({'almonds', 'hot dogs'}),\n",
              " frozenset({'almonds', 'ketchup'}),\n",
              " frozenset({'almonds', 'light cream'}),\n",
              " frozenset({'almonds', 'light mayo'}),\n",
              " frozenset({'almonds', 'low fat yogurt'}),\n",
              " frozenset({'almonds', 'magazines'}),\n",
              " frozenset({'almonds', 'mashed potato'}),\n",
              " frozenset({'almonds', 'mayonnaise'}),\n",
              " frozenset({'almonds', 'meatballs'}),\n",
              " frozenset({'almonds', 'melons'}),\n",
              " frozenset({'almonds', 'milk'}),\n",
              " frozenset({'almonds', 'mineral water'}),\n",
              " frozenset({'almonds', 'mint'}),\n",
              " frozenset({'almonds', 'mint green tea'}),\n",
              " frozenset({'almonds', 'muffins'}),\n",
              " frozenset({'almonds', 'mushroom cream sauce'}),\n",
              " frozenset({'almonds', 'napkins'}),\n",
              " frozenset({'almonds', 'nonfat milk'}),\n",
              " frozenset({'almonds', 'oatmeal'}),\n",
              " frozenset({'almonds', 'oil'}),\n",
              " frozenset({'almonds', 'olive oil'}),\n",
              " frozenset({'almonds', 'pancakes'}),\n",
              " frozenset({'almonds', 'parmesan cheese'}),\n",
              " frozenset({'almonds', 'pasta'}),\n",
              " frozenset({'almonds', 'pepper'}),\n",
              " frozenset({'almonds', 'pet food'}),\n",
              " frozenset({'almonds', 'pickles'}),\n",
              " frozenset({'almonds', 'protein bar'}),\n",
              " frozenset({'almonds', 'red wine'}),\n",
              " frozenset({'almonds', 'rice'}),\n",
              " frozenset({'almonds', 'salad'}),\n",
              " frozenset({'almonds', 'salmon'}),\n",
              " frozenset({'almonds', 'salt'}),\n",
              " frozenset({'almonds', 'sandwich'}),\n",
              " frozenset({'almonds', 'shallot'}),\n",
              " frozenset({'almonds', 'shampoo'}),\n",
              " frozenset({'almonds', 'shrimp'}),\n",
              " frozenset({'almonds', 'soda'}),\n",
              " frozenset({'almonds', 'soup'}),\n",
              " frozenset({'almonds', 'spaghetti'}),\n",
              " frozenset({'almonds', 'sparkling water'}),\n",
              " frozenset({'almonds', 'spinach'}),\n",
              " frozenset({'almonds', 'strawberries'}),\n",
              " frozenset({'almonds', 'strong cheese'}),\n",
              " frozenset({'almonds', 'tea'}),\n",
              " frozenset({'almonds', 'tomato juice'}),\n",
              " frozenset({'almonds', 'tomato sauce'}),\n",
              " frozenset({'almonds', 'tomatoes'}),\n",
              " frozenset({'almonds', 'toothpaste'}),\n",
              " frozenset({'almonds', 'turkey'}),\n",
              " frozenset({'almonds', 'vegetables mix'}),\n",
              " frozenset({'almonds', 'water spray'}),\n",
              " frozenset({'almonds', 'white wine'}),\n",
              " frozenset({'almonds', 'whole weat flour'}),\n",
              " frozenset({'almonds', 'whole wheat pasta'}),\n",
              " frozenset({'almonds', 'whole wheat rice'}),\n",
              " frozenset({'almonds', 'yams'}),\n",
              " frozenset({'almonds', 'yogurt cake'}),\n",
              " frozenset({'almonds', 'zucchini'}),\n",
              " frozenset({'antioxydant juice', 'asparagus'}),\n",
              " frozenset({'antioxydant juice', 'avocado'}),\n",
              " frozenset({'antioxydant juice', 'babies food'}),\n",
              " frozenset({'antioxydant juice', 'bacon'}),\n",
              " frozenset({'antioxydant juice', 'barbecue sauce'}),\n",
              " frozenset({'antioxydant juice', 'black tea'}),\n",
              " frozenset({'antioxydant juice', 'blueberries'}),\n",
              " frozenset({'antioxydant juice', 'body spray'}),\n",
              " frozenset({'antioxydant juice', 'bramble'}),\n",
              " frozenset({'antioxydant juice', 'brownies'}),\n",
              " frozenset({'antioxydant juice', 'bug spray'}),\n",
              " frozenset({'antioxydant juice', 'burger sauce'}),\n",
              " frozenset({'antioxydant juice', 'burgers'}),\n",
              " frozenset({'antioxydant juice', 'butter'}),\n",
              " frozenset({'antioxydant juice', 'cake'}),\n",
              " frozenset({'antioxydant juice', 'candy bars'}),\n",
              " frozenset({'antioxydant juice', 'carrots'}),\n",
              " frozenset({'antioxydant juice', 'cauliflower'}),\n",
              " frozenset({'antioxydant juice', 'cereals'}),\n",
              " frozenset({'antioxydant juice', 'champagne'}),\n",
              " frozenset({'antioxydant juice', 'chicken'}),\n",
              " frozenset({'antioxydant juice', 'chili'}),\n",
              " frozenset({'antioxydant juice', 'chocolate'}),\n",
              " frozenset({'antioxydant juice', 'chocolate bread'}),\n",
              " frozenset({'antioxydant juice', 'chutney'}),\n",
              " frozenset({'antioxydant juice', 'cider'}),\n",
              " frozenset({'antioxydant juice', 'clothes accessories'}),\n",
              " frozenset({'antioxydant juice', 'cookies'}),\n",
              " frozenset({'antioxydant juice', 'cooking oil'}),\n",
              " frozenset({'antioxydant juice', 'corn'}),\n",
              " frozenset({'antioxydant juice', 'cottage cheese'}),\n",
              " frozenset({'antioxydant juice', 'cream'}),\n",
              " frozenset({'antioxydant juice', 'dessert wine'}),\n",
              " frozenset({'antioxydant juice', 'eggplant'}),\n",
              " frozenset({'antioxydant juice', 'eggs'}),\n",
              " frozenset({'antioxydant juice', 'energy bar'}),\n",
              " frozenset({'antioxydant juice', 'energy drink'}),\n",
              " frozenset({'antioxydant juice', 'escalope'}),\n",
              " frozenset({'antioxydant juice', 'extra dark chocolate'}),\n",
              " frozenset({'antioxydant juice', 'flax seed'}),\n",
              " frozenset({'antioxydant juice', 'french fries'}),\n",
              " frozenset({'antioxydant juice', 'french wine'}),\n",
              " frozenset({'antioxydant juice', 'fresh bread'}),\n",
              " frozenset({'antioxydant juice', 'fresh tuna'}),\n",
              " frozenset({'antioxydant juice', 'fromage blanc'}),\n",
              " frozenset({'antioxydant juice', 'frozen smoothie'}),\n",
              " frozenset({'antioxydant juice', 'frozen vegetables'}),\n",
              " frozenset({'antioxydant juice', 'gluten free bar'}),\n",
              " frozenset({'antioxydant juice', 'grated cheese'}),\n",
              " frozenset({'antioxydant juice', 'green beans'}),\n",
              " frozenset({'antioxydant juice', 'green grapes'}),\n",
              " frozenset({'antioxydant juice', 'green tea'}),\n",
              " frozenset({'antioxydant juice', 'ground beef'}),\n",
              " frozenset({'antioxydant juice', 'gums'}),\n",
              " frozenset({'antioxydant juice', 'ham'}),\n",
              " frozenset({'antioxydant juice', 'hand protein bar'}),\n",
              " frozenset({'antioxydant juice', 'herb & pepper'}),\n",
              " frozenset({'antioxydant juice', 'honey'}),\n",
              " frozenset({'antioxydant juice', 'hot dogs'}),\n",
              " frozenset({'antioxydant juice', 'ketchup'}),\n",
              " frozenset({'antioxydant juice', 'light cream'}),\n",
              " frozenset({'antioxydant juice', 'light mayo'}),\n",
              " frozenset({'antioxydant juice', 'low fat yogurt'}),\n",
              " frozenset({'antioxydant juice', 'magazines'}),\n",
              " frozenset({'antioxydant juice', 'mashed potato'}),\n",
              " frozenset({'antioxydant juice', 'mayonnaise'}),\n",
              " frozenset({'antioxydant juice', 'meatballs'}),\n",
              " frozenset({'antioxydant juice', 'melons'}),\n",
              " frozenset({'antioxydant juice', 'milk'}),\n",
              " frozenset({'antioxydant juice', 'mineral water'}),\n",
              " frozenset({'antioxydant juice', 'mint'}),\n",
              " frozenset({'antioxydant juice', 'mint green tea'}),\n",
              " frozenset({'antioxydant juice', 'muffins'}),\n",
              " frozenset({'antioxydant juice', 'mushroom cream sauce'}),\n",
              " frozenset({'antioxydant juice', 'napkins'}),\n",
              " frozenset({'antioxydant juice', 'nonfat milk'}),\n",
              " frozenset({'antioxydant juice', 'oatmeal'}),\n",
              " frozenset({'antioxydant juice', 'oil'}),\n",
              " frozenset({'antioxydant juice', 'olive oil'}),\n",
              " frozenset({'antioxydant juice', 'pancakes'}),\n",
              " frozenset({'antioxydant juice', 'parmesan cheese'}),\n",
              " frozenset({'antioxydant juice', 'pasta'}),\n",
              " frozenset({'antioxydant juice', 'pepper'}),\n",
              " frozenset({'antioxydant juice', 'pet food'}),\n",
              " frozenset({'antioxydant juice', 'pickles'}),\n",
              " frozenset({'antioxydant juice', 'protein bar'}),\n",
              " frozenset({'antioxydant juice', 'red wine'}),\n",
              " frozenset({'antioxydant juice', 'rice'}),\n",
              " frozenset({'antioxydant juice', 'salad'}),\n",
              " frozenset({'antioxydant juice', 'salmon'}),\n",
              " frozenset({'antioxydant juice', 'salt'}),\n",
              " frozenset({'antioxydant juice', 'sandwich'}),\n",
              " frozenset({'antioxydant juice', 'shallot'}),\n",
              " frozenset({'antioxydant juice', 'shampoo'}),\n",
              " frozenset({'antioxydant juice', 'shrimp'}),\n",
              " frozenset({'antioxydant juice', 'soda'}),\n",
              " frozenset({'antioxydant juice', 'soup'}),\n",
              " frozenset({'antioxydant juice', 'spaghetti'}),\n",
              " frozenset({'antioxydant juice', 'sparkling water'}),\n",
              " frozenset({'antioxydant juice', 'spinach'}),\n",
              " frozenset({'antioxydant juice', 'strawberries'}),\n",
              " frozenset({'antioxydant juice', 'strong cheese'}),\n",
              " frozenset({'antioxydant juice', 'tea'}),\n",
              " frozenset({'antioxydant juice', 'tomato juice'}),\n",
              " frozenset({'antioxydant juice', 'tomato sauce'}),\n",
              " frozenset({'antioxydant juice', 'tomatoes'}),\n",
              " frozenset({'antioxydant juice', 'toothpaste'}),\n",
              " frozenset({'antioxydant juice', 'turkey'}),\n",
              " frozenset({'antioxydant juice', 'vegetables mix'}),\n",
              " frozenset({'antioxydant juice', 'water spray'}),\n",
              " frozenset({'antioxydant juice', 'white wine'}),\n",
              " frozenset({'antioxydant juice', 'whole weat flour'}),\n",
              " frozenset({'antioxydant juice', 'whole wheat pasta'}),\n",
              " frozenset({'antioxydant juice', 'whole wheat rice'}),\n",
              " frozenset({'antioxydant juice', 'yams'}),\n",
              " frozenset({'antioxydant juice', 'yogurt cake'}),\n",
              " frozenset({'antioxydant juice', 'zucchini'}),\n",
              " frozenset({'asparagus', 'avocado'}),\n",
              " frozenset({'asparagus', 'babies food'}),\n",
              " frozenset({'asparagus', 'bacon'}),\n",
              " frozenset({'asparagus', 'barbecue sauce'}),\n",
              " frozenset({'asparagus', 'black tea'}),\n",
              " frozenset({'asparagus', 'blueberries'}),\n",
              " frozenset({'asparagus', 'body spray'}),\n",
              " frozenset({'asparagus', 'bramble'}),\n",
              " frozenset({'asparagus', 'brownies'}),\n",
              " frozenset({'asparagus', 'bug spray'}),\n",
              " frozenset({'asparagus', 'burger sauce'}),\n",
              " frozenset({'asparagus', 'burgers'}),\n",
              " frozenset({'asparagus', 'butter'}),\n",
              " frozenset({'asparagus', 'cake'}),\n",
              " frozenset({'asparagus', 'candy bars'}),\n",
              " frozenset({'asparagus', 'carrots'}),\n",
              " frozenset({'asparagus', 'cauliflower'}),\n",
              " frozenset({'asparagus', 'cereals'}),\n",
              " frozenset({'asparagus', 'champagne'}),\n",
              " frozenset({'asparagus', 'chicken'}),\n",
              " frozenset({'asparagus', 'chili'}),\n",
              " frozenset({'asparagus', 'chocolate'}),\n",
              " frozenset({'asparagus', 'chocolate bread'}),\n",
              " frozenset({'asparagus', 'chutney'}),\n",
              " frozenset({'asparagus', 'cider'}),\n",
              " frozenset({'asparagus', 'clothes accessories'}),\n",
              " frozenset({'asparagus', 'cookies'}),\n",
              " frozenset({'asparagus', 'cooking oil'}),\n",
              " frozenset({'asparagus', 'corn'}),\n",
              " frozenset({'asparagus', 'cottage cheese'}),\n",
              " frozenset({'asparagus', 'cream'}),\n",
              " frozenset({'asparagus', 'dessert wine'}),\n",
              " frozenset({'asparagus', 'eggplant'}),\n",
              " frozenset({'asparagus', 'eggs'}),\n",
              " frozenset({'asparagus', 'energy bar'}),\n",
              " frozenset({'asparagus', 'energy drink'}),\n",
              " frozenset({'asparagus', 'escalope'}),\n",
              " frozenset({'asparagus', 'extra dark chocolate'}),\n",
              " frozenset({'asparagus', 'flax seed'}),\n",
              " frozenset({'asparagus', 'french fries'}),\n",
              " frozenset({'asparagus', 'french wine'}),\n",
              " frozenset({'asparagus', 'fresh bread'}),\n",
              " frozenset({'asparagus', 'fresh tuna'}),\n",
              " frozenset({'asparagus', 'fromage blanc'}),\n",
              " frozenset({'asparagus', 'frozen smoothie'}),\n",
              " frozenset({'asparagus', 'frozen vegetables'}),\n",
              " frozenset({'asparagus', 'gluten free bar'}),\n",
              " frozenset({'asparagus', 'grated cheese'}),\n",
              " frozenset({'asparagus', 'green beans'}),\n",
              " frozenset({'asparagus', 'green grapes'}),\n",
              " frozenset({'asparagus', 'green tea'}),\n",
              " frozenset({'asparagus', 'ground beef'}),\n",
              " frozenset({'asparagus', 'gums'}),\n",
              " frozenset({'asparagus', 'ham'}),\n",
              " frozenset({'asparagus', 'hand protein bar'}),\n",
              " frozenset({'asparagus', 'herb & pepper'}),\n",
              " frozenset({'asparagus', 'honey'}),\n",
              " frozenset({'asparagus', 'hot dogs'}),\n",
              " frozenset({'asparagus', 'ketchup'}),\n",
              " frozenset({'asparagus', 'light cream'}),\n",
              " frozenset({'asparagus', 'light mayo'}),\n",
              " frozenset({'asparagus', 'low fat yogurt'}),\n",
              " frozenset({'asparagus', 'magazines'}),\n",
              " frozenset({'asparagus', 'mashed potato'}),\n",
              " frozenset({'asparagus', 'mayonnaise'}),\n",
              " frozenset({'asparagus', 'meatballs'}),\n",
              " frozenset({'asparagus', 'melons'}),\n",
              " frozenset({'asparagus', 'milk'}),\n",
              " frozenset({'asparagus', 'mineral water'}),\n",
              " frozenset({'asparagus', 'mint'}),\n",
              " frozenset({'asparagus', 'mint green tea'}),\n",
              " frozenset({'asparagus', 'muffins'}),\n",
              " frozenset({'asparagus', 'mushroom cream sauce'}),\n",
              " frozenset({'asparagus', 'napkins'}),\n",
              " frozenset({'asparagus', 'nonfat milk'}),\n",
              " frozenset({'asparagus', 'oatmeal'}),\n",
              " frozenset({'asparagus', 'oil'}),\n",
              " frozenset({'asparagus', 'olive oil'}),\n",
              " frozenset({'asparagus', 'pancakes'}),\n",
              " frozenset({'asparagus', 'parmesan cheese'}),\n",
              " frozenset({'asparagus', 'pasta'}),\n",
              " frozenset({'asparagus', 'pepper'}),\n",
              " frozenset({'asparagus', 'pet food'}),\n",
              " frozenset({'asparagus', 'pickles'}),\n",
              " frozenset({'asparagus', 'protein bar'}),\n",
              " frozenset({'asparagus', 'red wine'}),\n",
              " frozenset({'asparagus', 'rice'}),\n",
              " frozenset({'asparagus', 'salad'}),\n",
              " frozenset({'asparagus', 'salmon'}),\n",
              " frozenset({'asparagus', 'salt'}),\n",
              " frozenset({'asparagus', 'sandwich'}),\n",
              " frozenset({'asparagus', 'shallot'}),\n",
              " frozenset({'asparagus', 'shampoo'}),\n",
              " frozenset({'asparagus', 'shrimp'}),\n",
              " frozenset({'asparagus', 'soda'}),\n",
              " frozenset({'asparagus', 'soup'}),\n",
              " frozenset({'asparagus', 'spaghetti'}),\n",
              " frozenset({'asparagus', 'sparkling water'}),\n",
              " frozenset({'asparagus', 'spinach'}),\n",
              " frozenset({'asparagus', 'strawberries'}),\n",
              " frozenset({'asparagus', 'strong cheese'}),\n",
              " frozenset({'asparagus', 'tea'}),\n",
              " frozenset({'asparagus', 'tomato juice'}),\n",
              " frozenset({'asparagus', 'tomato sauce'}),\n",
              " frozenset({'asparagus', 'tomatoes'}),\n",
              " frozenset({'asparagus', 'toothpaste'}),\n",
              " frozenset({'asparagus', 'turkey'}),\n",
              " frozenset({'asparagus', 'vegetables mix'}),\n",
              " frozenset({'asparagus', 'water spray'}),\n",
              " frozenset({'asparagus', 'white wine'}),\n",
              " frozenset({'asparagus', 'whole weat flour'}),\n",
              " frozenset({'asparagus', 'whole wheat pasta'}),\n",
              " frozenset({'asparagus', 'whole wheat rice'}),\n",
              " frozenset({'asparagus', 'yams'}),\n",
              " frozenset({'asparagus', 'yogurt cake'}),\n",
              " frozenset({'asparagus', 'zucchini'}),\n",
              " frozenset({'avocado', 'babies food'}),\n",
              " frozenset({'avocado', 'bacon'}),\n",
              " frozenset({'avocado', 'barbecue sauce'}),\n",
              " frozenset({'avocado', 'black tea'}),\n",
              " frozenset({'avocado', 'blueberries'}),\n",
              " frozenset({'avocado', 'body spray'}),\n",
              " frozenset({'avocado', 'bramble'}),\n",
              " frozenset({'avocado', 'brownies'}),\n",
              " frozenset({'avocado', 'bug spray'}),\n",
              " frozenset({'avocado', 'burger sauce'}),\n",
              " frozenset({'avocado', 'burgers'}),\n",
              " frozenset({'avocado', 'butter'}),\n",
              " frozenset({'avocado', 'cake'}),\n",
              " frozenset({'avocado', 'candy bars'}),\n",
              " frozenset({'avocado', 'carrots'}),\n",
              " frozenset({'avocado', 'cauliflower'}),\n",
              " frozenset({'avocado', 'cereals'}),\n",
              " frozenset({'avocado', 'champagne'}),\n",
              " frozenset({'avocado', 'chicken'}),\n",
              " frozenset({'avocado', 'chili'}),\n",
              " frozenset({'avocado', 'chocolate'}),\n",
              " frozenset({'avocado', 'chocolate bread'}),\n",
              " frozenset({'avocado', 'chutney'}),\n",
              " frozenset({'avocado', 'cider'}),\n",
              " frozenset({'avocado', 'clothes accessories'}),\n",
              " frozenset({'avocado', 'cookies'}),\n",
              " frozenset({'avocado', 'cooking oil'}),\n",
              " frozenset({'avocado', 'corn'}),\n",
              " frozenset({'avocado', 'cottage cheese'}),\n",
              " frozenset({'avocado', 'cream'}),\n",
              " frozenset({'avocado', 'dessert wine'}),\n",
              " frozenset({'avocado', 'eggplant'}),\n",
              " frozenset({'avocado', 'eggs'}),\n",
              " frozenset({'avocado', 'energy bar'}),\n",
              " frozenset({'avocado', 'energy drink'}),\n",
              " frozenset({'avocado', 'escalope'}),\n",
              " frozenset({'avocado', 'extra dark chocolate'}),\n",
              " frozenset({'avocado', 'flax seed'}),\n",
              " frozenset({'avocado', 'french fries'}),\n",
              " frozenset({'avocado', 'french wine'}),\n",
              " frozenset({'avocado', 'fresh bread'}),\n",
              " frozenset({'avocado', 'fresh tuna'}),\n",
              " frozenset({'avocado', 'fromage blanc'}),\n",
              " frozenset({'avocado', 'frozen smoothie'}),\n",
              " frozenset({'avocado', 'frozen vegetables'}),\n",
              " frozenset({'avocado', 'gluten free bar'}),\n",
              " frozenset({'avocado', 'grated cheese'}),\n",
              " frozenset({'avocado', 'green beans'}),\n",
              " frozenset({'avocado', 'green grapes'}),\n",
              " frozenset({'avocado', 'green tea'}),\n",
              " frozenset({'avocado', 'ground beef'}),\n",
              " frozenset({'avocado', 'gums'}),\n",
              " frozenset({'avocado', 'ham'}),\n",
              " frozenset({'avocado', 'hand protein bar'}),\n",
              " frozenset({'avocado', 'herb & pepper'}),\n",
              " frozenset({'avocado', 'honey'}),\n",
              " frozenset({'avocado', 'hot dogs'}),\n",
              " frozenset({'avocado', 'ketchup'}),\n",
              " frozenset({'avocado', 'light cream'}),\n",
              " frozenset({'avocado', 'light mayo'}),\n",
              " frozenset({'avocado', 'low fat yogurt'}),\n",
              " frozenset({'avocado', 'magazines'}),\n",
              " frozenset({'avocado', 'mashed potato'}),\n",
              " frozenset({'avocado', 'mayonnaise'}),\n",
              " frozenset({'avocado', 'meatballs'}),\n",
              " frozenset({'avocado', 'melons'}),\n",
              " frozenset({'avocado', 'milk'}),\n",
              " frozenset({'avocado', 'mineral water'}),\n",
              " frozenset({'avocado', 'mint'}),\n",
              " frozenset({'avocado', 'mint green tea'}),\n",
              " frozenset({'avocado', 'muffins'}),\n",
              " frozenset({'avocado', 'mushroom cream sauce'}),\n",
              " frozenset({'avocado', 'napkins'}),\n",
              " frozenset({'avocado', 'nonfat milk'}),\n",
              " frozenset({'avocado', 'oatmeal'}),\n",
              " frozenset({'avocado', 'oil'}),\n",
              " frozenset({'avocado', 'olive oil'}),\n",
              " frozenset({'avocado', 'pancakes'}),\n",
              " frozenset({'avocado', 'parmesan cheese'}),\n",
              " frozenset({'avocado', 'pasta'}),\n",
              " frozenset({'avocado', 'pepper'}),\n",
              " frozenset({'avocado', 'pet food'}),\n",
              " frozenset({'avocado', 'pickles'}),\n",
              " frozenset({'avocado', 'protein bar'}),\n",
              " frozenset({'avocado', 'red wine'}),\n",
              " frozenset({'avocado', 'rice'}),\n",
              " frozenset({'avocado', 'salad'}),\n",
              " frozenset({'avocado', 'salmon'}),\n",
              " frozenset({'avocado', 'salt'}),\n",
              " frozenset({'avocado', 'sandwich'}),\n",
              " frozenset({'avocado', 'shallot'}),\n",
              " frozenset({'avocado', 'shampoo'}),\n",
              " frozenset({'avocado', 'shrimp'}),\n",
              " frozenset({'avocado', 'soda'}),\n",
              " frozenset({'avocado', 'soup'}),\n",
              " frozenset({'avocado', 'spaghetti'}),\n",
              " frozenset({'avocado', 'sparkling water'}),\n",
              " frozenset({'avocado', 'spinach'}),\n",
              " frozenset({'avocado', 'strawberries'}),\n",
              " frozenset({'avocado', 'strong cheese'}),\n",
              " frozenset({'avocado', 'tea'}),\n",
              " frozenset({'avocado', 'tomato juice'}),\n",
              " frozenset({'avocado', 'tomato sauce'}),\n",
              " frozenset({'avocado', 'tomatoes'}),\n",
              " frozenset({'avocado', 'toothpaste'}),\n",
              " frozenset({'avocado', 'turkey'}),\n",
              " frozenset({'avocado', 'vegetables mix'}),\n",
              " frozenset({'avocado', 'water spray'}),\n",
              " frozenset({'avocado', 'white wine'}),\n",
              " frozenset({'avocado', 'whole weat flour'}),\n",
              " frozenset({'avocado', 'whole wheat pasta'}),\n",
              " frozenset({'avocado', 'whole wheat rice'}),\n",
              " frozenset({'avocado', 'yams'}),\n",
              " frozenset({'avocado', 'yogurt cake'}),\n",
              " frozenset({'avocado', 'zucchini'}),\n",
              " frozenset({'babies food', 'bacon'}),\n",
              " frozenset({'babies food', 'barbecue sauce'}),\n",
              " frozenset({'babies food', 'black tea'}),\n",
              " frozenset({'babies food', 'blueberries'}),\n",
              " frozenset({'babies food', 'body spray'}),\n",
              " frozenset({'babies food', 'bramble'}),\n",
              " frozenset({'babies food', 'brownies'}),\n",
              " frozenset({'babies food', 'bug spray'}),\n",
              " frozenset({'babies food', 'burger sauce'}),\n",
              " frozenset({'babies food', 'burgers'}),\n",
              " frozenset({'babies food', 'butter'}),\n",
              " frozenset({'babies food', 'cake'}),\n",
              " frozenset({'babies food', 'candy bars'}),\n",
              " frozenset({'babies food', 'carrots'}),\n",
              " frozenset({'babies food', 'cauliflower'}),\n",
              " frozenset({'babies food', 'cereals'}),\n",
              " frozenset({'babies food', 'champagne'}),\n",
              " frozenset({'babies food', 'chicken'}),\n",
              " frozenset({'babies food', 'chili'}),\n",
              " frozenset({'babies food', 'chocolate'}),\n",
              " frozenset({'babies food', 'chocolate bread'}),\n",
              " frozenset({'babies food', 'chutney'}),\n",
              " frozenset({'babies food', 'cider'}),\n",
              " frozenset({'babies food', 'clothes accessories'}),\n",
              " frozenset({'babies food', 'cookies'}),\n",
              " frozenset({'babies food', 'cooking oil'}),\n",
              " frozenset({'babies food', 'corn'}),\n",
              " frozenset({'babies food', 'cottage cheese'}),\n",
              " frozenset({'babies food', 'cream'}),\n",
              " frozenset({'babies food', 'dessert wine'}),\n",
              " frozenset({'babies food', 'eggplant'}),\n",
              " frozenset({'babies food', 'eggs'}),\n",
              " frozenset({'babies food', 'energy bar'}),\n",
              " frozenset({'babies food', 'energy drink'}),\n",
              " frozenset({'babies food', 'escalope'}),\n",
              " frozenset({'babies food', 'extra dark chocolate'}),\n",
              " frozenset({'babies food', 'flax seed'}),\n",
              " frozenset({'babies food', 'french fries'}),\n",
              " frozenset({'babies food', 'french wine'}),\n",
              " frozenset({'babies food', 'fresh bread'}),\n",
              " frozenset({'babies food', 'fresh tuna'}),\n",
              " frozenset({'babies food', 'fromage blanc'}),\n",
              " frozenset({'babies food', 'frozen smoothie'}),\n",
              " frozenset({'babies food', 'frozen vegetables'}),\n",
              " frozenset({'babies food', 'gluten free bar'}),\n",
              " frozenset({'babies food', 'grated cheese'}),\n",
              " frozenset({'babies food', 'green beans'}),\n",
              " frozenset({'babies food', 'green grapes'}),\n",
              " frozenset({'babies food', 'green tea'}),\n",
              " frozenset({'babies food', 'ground beef'}),\n",
              " frozenset({'babies food', 'gums'}),\n",
              " frozenset({'babies food', 'ham'}),\n",
              " frozenset({'babies food', 'hand protein bar'}),\n",
              " frozenset({'babies food', 'herb & pepper'}),\n",
              " frozenset({'babies food', 'honey'}),\n",
              " frozenset({'babies food', 'hot dogs'}),\n",
              " frozenset({'babies food', 'ketchup'}),\n",
              " frozenset({'babies food', 'light cream'}),\n",
              " frozenset({'babies food', 'light mayo'}),\n",
              " frozenset({'babies food', 'low fat yogurt'}),\n",
              " frozenset({'babies food', 'magazines'}),\n",
              " frozenset({'babies food', 'mashed potato'}),\n",
              " frozenset({'babies food', 'mayonnaise'}),\n",
              " frozenset({'babies food', 'meatballs'}),\n",
              " frozenset({'babies food', 'melons'}),\n",
              " frozenset({'babies food', 'milk'}),\n",
              " frozenset({'babies food', 'mineral water'}),\n",
              " frozenset({'babies food', 'mint'}),\n",
              " frozenset({'babies food', 'mint green tea'}),\n",
              " frozenset({'babies food', 'muffins'}),\n",
              " frozenset({'babies food', 'mushroom cream sauce'}),\n",
              " frozenset({'babies food', 'napkins'}),\n",
              " frozenset({'babies food', 'nonfat milk'}),\n",
              " frozenset({'babies food', 'oatmeal'}),\n",
              " frozenset({'babies food', 'oil'}),\n",
              " frozenset({'babies food', 'olive oil'}),\n",
              " frozenset({'babies food', 'pancakes'}),\n",
              " frozenset({'babies food', 'parmesan cheese'}),\n",
              " frozenset({'babies food', 'pasta'}),\n",
              " frozenset({'babies food', 'pepper'}),\n",
              " frozenset({'babies food', 'pet food'}),\n",
              " frozenset({'babies food', 'pickles'}),\n",
              " frozenset({'babies food', 'protein bar'}),\n",
              " frozenset({'babies food', 'red wine'}),\n",
              " frozenset({'babies food', 'rice'}),\n",
              " frozenset({'babies food', 'salad'}),\n",
              " frozenset({'babies food', 'salmon'}),\n",
              " frozenset({'babies food', 'salt'}),\n",
              " frozenset({'babies food', 'sandwich'}),\n",
              " frozenset({'babies food', 'shallot'}),\n",
              " frozenset({'babies food', 'shampoo'}),\n",
              " frozenset({'babies food', 'shrimp'}),\n",
              " frozenset({'babies food', 'soda'}),\n",
              " frozenset({'babies food', 'soup'}),\n",
              " frozenset({'babies food', 'spaghetti'}),\n",
              " frozenset({'babies food', 'sparkling water'}),\n",
              " frozenset({'babies food', 'spinach'}),\n",
              " frozenset({'babies food', 'strawberries'}),\n",
              " frozenset({'babies food', 'strong cheese'}),\n",
              " frozenset({'babies food', 'tea'}),\n",
              " frozenset({'babies food', 'tomato juice'}),\n",
              " frozenset({'babies food', 'tomato sauce'}),\n",
              " frozenset({'babies food', 'tomatoes'}),\n",
              " frozenset({'babies food', 'toothpaste'}),\n",
              " frozenset({'babies food', 'turkey'}),\n",
              " frozenset({'babies food', 'vegetables mix'}),\n",
              " frozenset({'babies food', 'water spray'}),\n",
              " frozenset({'babies food', 'white wine'}),\n",
              " frozenset({'babies food', 'whole weat flour'}),\n",
              " frozenset({'babies food', 'whole wheat pasta'}),\n",
              " frozenset({'babies food', 'whole wheat rice'}),\n",
              " frozenset({'babies food', 'yams'}),\n",
              " frozenset({'babies food', 'yogurt cake'}),\n",
              " frozenset({'babies food', 'zucchini'}),\n",
              " frozenset({'bacon', 'barbecue sauce'}),\n",
              " frozenset({'bacon', 'black tea'}),\n",
              " frozenset({'bacon', 'blueberries'}),\n",
              " frozenset({'bacon', 'body spray'}),\n",
              " frozenset({'bacon', 'bramble'}),\n",
              " frozenset({'bacon', 'brownies'}),\n",
              " frozenset({'bacon', 'bug spray'}),\n",
              " frozenset({'bacon', 'burger sauce'}),\n",
              " frozenset({'bacon', 'burgers'}),\n",
              " frozenset({'bacon', 'butter'}),\n",
              " frozenset({'bacon', 'cake'}),\n",
              " frozenset({'bacon', 'candy bars'}),\n",
              " frozenset({'bacon', 'carrots'}),\n",
              " frozenset({'bacon', 'cauliflower'}),\n",
              " frozenset({'bacon', 'cereals'}),\n",
              " frozenset({'bacon', 'champagne'}),\n",
              " frozenset({'bacon', 'chicken'}),\n",
              " frozenset({'bacon', 'chili'}),\n",
              " frozenset({'bacon', 'chocolate'}),\n",
              " frozenset({'bacon', 'chocolate bread'}),\n",
              " frozenset({'bacon', 'chutney'}),\n",
              " frozenset({'bacon', 'cider'}),\n",
              " frozenset({'bacon', 'clothes accessories'}),\n",
              " frozenset({'bacon', 'cookies'}),\n",
              " frozenset({'bacon', 'cooking oil'}),\n",
              " frozenset({'bacon', 'corn'}),\n",
              " frozenset({'bacon', 'cottage cheese'}),\n",
              " frozenset({'bacon', 'cream'}),\n",
              " frozenset({'bacon', 'dessert wine'}),\n",
              " frozenset({'bacon', 'eggplant'}),\n",
              " frozenset({'bacon', 'eggs'}),\n",
              " frozenset({'bacon', 'energy bar'}),\n",
              " frozenset({'bacon', 'energy drink'}),\n",
              " frozenset({'bacon', 'escalope'}),\n",
              " frozenset({'bacon', 'extra dark chocolate'}),\n",
              " frozenset({'bacon', 'flax seed'}),\n",
              " frozenset({'bacon', 'french fries'}),\n",
              " frozenset({'bacon', 'french wine'}),\n",
              " frozenset({'bacon', 'fresh bread'}),\n",
              " frozenset({'bacon', 'fresh tuna'}),\n",
              " frozenset({'bacon', 'fromage blanc'}),\n",
              " frozenset({'bacon', 'frozen smoothie'}),\n",
              " frozenset({'bacon', 'frozen vegetables'}),\n",
              " frozenset({'bacon', 'gluten free bar'}),\n",
              " frozenset({'bacon', 'grated cheese'}),\n",
              " frozenset({'bacon', 'green beans'}),\n",
              " frozenset({'bacon', 'green grapes'}),\n",
              " frozenset({'bacon', 'green tea'}),\n",
              " frozenset({'bacon', 'ground beef'}),\n",
              " frozenset({'bacon', 'gums'}),\n",
              " frozenset({'bacon', 'ham'}),\n",
              " frozenset({'bacon', 'hand protein bar'}),\n",
              " frozenset({'bacon', 'herb & pepper'}),\n",
              " frozenset({'bacon', 'honey'}),\n",
              " frozenset({'bacon', 'hot dogs'}),\n",
              " frozenset({'bacon', 'ketchup'}),\n",
              " frozenset({'bacon', 'light cream'}),\n",
              " frozenset({'bacon', 'light mayo'}),\n",
              " frozenset({'bacon', 'low fat yogurt'}),\n",
              " frozenset({'bacon', 'magazines'}),\n",
              " frozenset({'bacon', 'mashed potato'}),\n",
              " frozenset({'bacon', 'mayonnaise'}),\n",
              " frozenset({'bacon', 'meatballs'}),\n",
              " frozenset({'bacon', 'melons'}),\n",
              " frozenset({'bacon', 'milk'}),\n",
              " frozenset({'bacon', 'mineral water'}),\n",
              " frozenset({'bacon', 'mint'}),\n",
              " frozenset({'bacon', 'mint green tea'}),\n",
              " frozenset({'bacon', 'muffins'}),\n",
              " frozenset({'bacon', 'mushroom cream sauce'}),\n",
              " frozenset({'bacon', 'napkins'}),\n",
              " frozenset({'bacon', 'nonfat milk'}),\n",
              " frozenset({'bacon', 'oatmeal'}),\n",
              " frozenset({'bacon', 'oil'}),\n",
              " frozenset({'bacon', 'olive oil'}),\n",
              " frozenset({'bacon', 'pancakes'}),\n",
              " frozenset({'bacon', 'parmesan cheese'}),\n",
              " frozenset({'bacon', 'pasta'}),\n",
              " frozenset({'bacon', 'pepper'}),\n",
              " frozenset({'bacon', 'pet food'}),\n",
              " frozenset({'bacon', 'pickles'}),\n",
              " frozenset({'bacon', 'protein bar'}),\n",
              " frozenset({'bacon', 'red wine'}),\n",
              " frozenset({'bacon', 'rice'}),\n",
              " frozenset({'bacon', 'salad'}),\n",
              " frozenset({'bacon', 'salmon'}),\n",
              " frozenset({'bacon', 'salt'}),\n",
              " frozenset({'bacon', 'sandwich'}),\n",
              " frozenset({'bacon', 'shallot'}),\n",
              " frozenset({'bacon', 'shampoo'}),\n",
              " frozenset({'bacon', 'shrimp'}),\n",
              " frozenset({'bacon', 'soda'}),\n",
              " frozenset({'bacon', 'soup'}),\n",
              " frozenset({'bacon', 'spaghetti'}),\n",
              " frozenset({'bacon', 'sparkling water'}),\n",
              " frozenset({'bacon', 'spinach'}),\n",
              " frozenset({'bacon', 'strawberries'}),\n",
              " frozenset({'bacon', 'strong cheese'}),\n",
              " frozenset({'bacon', 'tea'}),\n",
              " frozenset({'bacon', 'tomato juice'}),\n",
              " frozenset({'bacon', 'tomato sauce'}),\n",
              " frozenset({'bacon', 'tomatoes'}),\n",
              " frozenset({'bacon', 'toothpaste'}),\n",
              " frozenset({'bacon', 'turkey'}),\n",
              " frozenset({'bacon', 'vegetables mix'}),\n",
              " frozenset({'bacon', 'water spray'}),\n",
              " frozenset({'bacon', 'white wine'}),\n",
              " frozenset({'bacon', 'whole weat flour'}),\n",
              " frozenset({'bacon', 'whole wheat pasta'}),\n",
              " frozenset({'bacon', 'whole wheat rice'}),\n",
              " frozenset({'bacon', 'yams'}),\n",
              " frozenset({'bacon', 'yogurt cake'}),\n",
              " frozenset({'bacon', 'zucchini'}),\n",
              " frozenset({'barbecue sauce', 'black tea'}),\n",
              " frozenset({'barbecue sauce', 'blueberries'}),\n",
              " frozenset({'barbecue sauce', 'body spray'}),\n",
              " frozenset({'barbecue sauce', 'bramble'}),\n",
              " frozenset({'barbecue sauce', 'brownies'}),\n",
              " frozenset({'barbecue sauce', 'bug spray'}),\n",
              " frozenset({'barbecue sauce', 'burger sauce'}),\n",
              " frozenset({'barbecue sauce', 'burgers'}),\n",
              " frozenset({'barbecue sauce', 'butter'}),\n",
              " frozenset({'barbecue sauce', 'cake'}),\n",
              " frozenset({'barbecue sauce', 'candy bars'}),\n",
              " frozenset({'barbecue sauce', 'carrots'}),\n",
              " frozenset({'barbecue sauce', 'cauliflower'}),\n",
              " frozenset({'barbecue sauce', 'cereals'}),\n",
              " frozenset({'barbecue sauce', 'champagne'}),\n",
              " frozenset({'barbecue sauce', 'chicken'}),\n",
              " frozenset({'barbecue sauce', 'chili'}),\n",
              " frozenset({'barbecue sauce', 'chocolate'}),\n",
              " frozenset({'barbecue sauce', 'chocolate bread'}),\n",
              " frozenset({'barbecue sauce', 'chutney'}),\n",
              " frozenset({'barbecue sauce', 'cider'}),\n",
              " frozenset({'barbecue sauce', 'clothes accessories'}),\n",
              " frozenset({'barbecue sauce', 'cookies'}),\n",
              " frozenset({'barbecue sauce', 'cooking oil'}),\n",
              " frozenset({'barbecue sauce', 'corn'}),\n",
              " frozenset({'barbecue sauce', 'cottage cheese'}),\n",
              " frozenset({'barbecue sauce', 'cream'}),\n",
              " frozenset({'barbecue sauce', 'dessert wine'}),\n",
              " frozenset({'barbecue sauce', 'eggplant'}),\n",
              " frozenset({'barbecue sauce', 'eggs'}),\n",
              " frozenset({'barbecue sauce', 'energy bar'}),\n",
              " frozenset({'barbecue sauce', 'energy drink'}),\n",
              " frozenset({'barbecue sauce', 'escalope'}),\n",
              " frozenset({'barbecue sauce', 'extra dark chocolate'}),\n",
              " frozenset({'barbecue sauce', 'flax seed'}),\n",
              " frozenset({'barbecue sauce', 'french fries'}),\n",
              " frozenset({'barbecue sauce', 'french wine'}),\n",
              " frozenset({'barbecue sauce', 'fresh bread'}),\n",
              " frozenset({'barbecue sauce', 'fresh tuna'}),\n",
              " frozenset({'barbecue sauce', 'fromage blanc'}),\n",
              " frozenset({'barbecue sauce', 'frozen smoothie'}),\n",
              " frozenset({'barbecue sauce', 'frozen vegetables'}),\n",
              " frozenset({'barbecue sauce', 'gluten free bar'}),\n",
              " frozenset({'barbecue sauce', 'grated cheese'}),\n",
              " frozenset({'barbecue sauce', 'green beans'}),\n",
              " frozenset({'barbecue sauce', 'green grapes'}),\n",
              " frozenset({'barbecue sauce', 'green tea'}),\n",
              " frozenset({'barbecue sauce', 'ground beef'}),\n",
              " frozenset({'barbecue sauce', 'gums'}),\n",
              " frozenset({'barbecue sauce', 'ham'}),\n",
              " frozenset({'barbecue sauce', 'hand protein bar'}),\n",
              " frozenset({'barbecue sauce', 'herb & pepper'}),\n",
              " frozenset({'barbecue sauce', 'honey'}),\n",
              " frozenset({'barbecue sauce', 'hot dogs'}),\n",
              " frozenset({'barbecue sauce', 'ketchup'}),\n",
              " frozenset({'barbecue sauce', 'light cream'}),\n",
              " frozenset({'barbecue sauce', 'light mayo'}),\n",
              " frozenset({'barbecue sauce', 'low fat yogurt'}),\n",
              " frozenset({'barbecue sauce', 'magazines'}),\n",
              " frozenset({'barbecue sauce', 'mashed potato'}),\n",
              " frozenset({'barbecue sauce', 'mayonnaise'}),\n",
              " frozenset({'barbecue sauce', 'meatballs'}),\n",
              " frozenset({'barbecue sauce', 'melons'}),\n",
              " frozenset({'barbecue sauce', 'milk'}),\n",
              " frozenset({'barbecue sauce', 'mineral water'}),\n",
              " frozenset({'barbecue sauce', 'mint'}),\n",
              " frozenset({'barbecue sauce', 'mint green tea'}),\n",
              " frozenset({'barbecue sauce', 'muffins'}),\n",
              " frozenset({'barbecue sauce', 'mushroom cream sauce'}),\n",
              " frozenset({'barbecue sauce', 'napkins'}),\n",
              " frozenset({'barbecue sauce', 'nonfat milk'}),\n",
              " frozenset({'barbecue sauce', 'oatmeal'}),\n",
              " frozenset({'barbecue sauce', 'oil'}),\n",
              " frozenset({'barbecue sauce', 'olive oil'}),\n",
              " frozenset({'barbecue sauce', 'pancakes'}),\n",
              " frozenset({'barbecue sauce', 'parmesan cheese'}),\n",
              " frozenset({'barbecue sauce', 'pasta'}),\n",
              " frozenset({'barbecue sauce', 'pepper'}),\n",
              " frozenset({'barbecue sauce', 'pet food'}),\n",
              " frozenset({'barbecue sauce', 'pickles'}),\n",
              " frozenset({'barbecue sauce', 'protein bar'}),\n",
              " frozenset({'barbecue sauce', 'red wine'}),\n",
              " frozenset({'barbecue sauce', 'rice'}),\n",
              " frozenset({'barbecue sauce', 'salad'}),\n",
              " frozenset({'barbecue sauce', 'salmon'}),\n",
              " frozenset({'barbecue sauce', 'salt'}),\n",
              " frozenset({'barbecue sauce', 'sandwich'}),\n",
              " frozenset({'barbecue sauce', 'shallot'}),\n",
              " frozenset({'barbecue sauce', 'shampoo'}),\n",
              " frozenset({'barbecue sauce', 'shrimp'}),\n",
              " frozenset({'barbecue sauce', 'soda'}),\n",
              " frozenset({'barbecue sauce', 'soup'}),\n",
              " frozenset({'barbecue sauce', 'spaghetti'}),\n",
              " frozenset({'barbecue sauce', 'sparkling water'}),\n",
              " frozenset({'barbecue sauce', 'spinach'}),\n",
              " frozenset({'barbecue sauce', 'strawberries'}),\n",
              " frozenset({'barbecue sauce', 'strong cheese'}),\n",
              " frozenset({'barbecue sauce', 'tea'}),\n",
              " frozenset({'barbecue sauce', 'tomato juice'}),\n",
              " frozenset({'barbecue sauce', 'tomato sauce'}),\n",
              " frozenset({'barbecue sauce', 'tomatoes'}),\n",
              " frozenset({'barbecue sauce', 'toothpaste'}),\n",
              " frozenset({'barbecue sauce', 'turkey'}),\n",
              " frozenset({'barbecue sauce', 'vegetables mix'}),\n",
              " frozenset({'barbecue sauce', 'water spray'}),\n",
              " frozenset({'barbecue sauce', 'white wine'}),\n",
              " frozenset({'barbecue sauce', 'whole weat flour'}),\n",
              " frozenset({'barbecue sauce', 'whole wheat pasta'}),\n",
              " frozenset({'barbecue sauce', 'whole wheat rice'}),\n",
              " frozenset({'barbecue sauce', 'yams'}),\n",
              " frozenset({'barbecue sauce', 'yogurt cake'}),\n",
              " frozenset({'barbecue sauce', 'zucchini'}),\n",
              " frozenset({'black tea', 'blueberries'}),\n",
              " frozenset({'black tea', 'body spray'}),\n",
              " frozenset({'black tea', 'bramble'}),\n",
              " frozenset({'black tea', 'brownies'}),\n",
              " frozenset({'black tea', 'bug spray'}),\n",
              " frozenset({'black tea', 'burger sauce'}),\n",
              " frozenset({'black tea', 'burgers'}),\n",
              " frozenset({'black tea', 'butter'}),\n",
              " frozenset({'black tea', 'cake'}),\n",
              " frozenset({'black tea', 'candy bars'}),\n",
              " frozenset({'black tea', 'carrots'}),\n",
              " frozenset({'black tea', 'cauliflower'}),\n",
              " frozenset({'black tea', 'cereals'}),\n",
              " frozenset({'black tea', 'champagne'}),\n",
              " frozenset({'black tea', 'chicken'}),\n",
              " frozenset({'black tea', 'chili'}),\n",
              " frozenset({'black tea', 'chocolate'}),\n",
              " frozenset({'black tea', 'chocolate bread'}),\n",
              " frozenset({'black tea', 'chutney'}),\n",
              " frozenset({'black tea', 'cider'}),\n",
              " frozenset({'black tea', 'clothes accessories'}),\n",
              " frozenset({'black tea', 'cookies'}),\n",
              " frozenset({'black tea', 'cooking oil'}),\n",
              " frozenset({'black tea', 'corn'}),\n",
              " frozenset({'black tea', 'cottage cheese'}),\n",
              " frozenset({'black tea', 'cream'}),\n",
              " frozenset({'black tea', 'dessert wine'}),\n",
              " frozenset({'black tea', 'eggplant'}),\n",
              " frozenset({'black tea', 'eggs'}),\n",
              " frozenset({'black tea', 'energy bar'}),\n",
              " frozenset({'black tea', 'energy drink'}),\n",
              " frozenset({'black tea', 'escalope'}),\n",
              " frozenset({'black tea', 'extra dark chocolate'}),\n",
              " frozenset({'black tea', 'flax seed'}),\n",
              " frozenset({'black tea', 'french fries'}),\n",
              " frozenset({'black tea', 'french wine'}),\n",
              " frozenset({'black tea', 'fresh bread'}),\n",
              " frozenset({'black tea', 'fresh tuna'}),\n",
              " frozenset({'black tea', 'fromage blanc'}),\n",
              " frozenset({'black tea', 'frozen smoothie'}),\n",
              " frozenset({'black tea', 'frozen vegetables'}),\n",
              " frozenset({'black tea', 'gluten free bar'}),\n",
              " frozenset({'black tea', 'grated cheese'}),\n",
              " frozenset({'black tea', 'green beans'}),\n",
              " frozenset({'black tea', 'green grapes'}),\n",
              " frozenset({'black tea', 'green tea'}),\n",
              " frozenset({'black tea', 'ground beef'}),\n",
              " frozenset({'black tea', 'gums'}),\n",
              " frozenset({'black tea', 'ham'}),\n",
              " frozenset({'black tea', 'hand protein bar'}),\n",
              " frozenset({'black tea', 'herb & pepper'}),\n",
              " frozenset({'black tea', 'honey'}),\n",
              " frozenset({'black tea', 'hot dogs'}),\n",
              " frozenset({'black tea', 'ketchup'}),\n",
              " frozenset({'black tea', 'light cream'}),\n",
              " frozenset({'black tea', 'light mayo'}),\n",
              " frozenset({'black tea', 'low fat yogurt'}),\n",
              " frozenset({'black tea', 'magazines'}),\n",
              " frozenset({'black tea', 'mashed potato'}),\n",
              " frozenset({'black tea', 'mayonnaise'}),\n",
              " frozenset({'black tea', 'meatballs'}),\n",
              " frozenset({'black tea', 'melons'}),\n",
              " frozenset({'black tea', 'milk'}),\n",
              " frozenset({'black tea', 'mineral water'}),\n",
              " frozenset({'black tea', 'mint'}),\n",
              " frozenset({'black tea', 'mint green tea'}),\n",
              " frozenset({'black tea', 'muffins'}),\n",
              " frozenset({'black tea', 'mushroom cream sauce'}),\n",
              " frozenset({'black tea', 'napkins'}),\n",
              " frozenset({'black tea', 'nonfat milk'}),\n",
              " frozenset({'black tea', 'oatmeal'}),\n",
              " frozenset({'black tea', 'oil'}),\n",
              " frozenset({'black tea', 'olive oil'}),\n",
              " frozenset({'black tea', 'pancakes'}),\n",
              " frozenset({'black tea', 'parmesan cheese'}),\n",
              " frozenset({'black tea', 'pasta'}),\n",
              " ...]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 39
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5l12Jw9gAyk6"
      },
      "source": [
        "Frequent Item Set Generator"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sj9pU7_TwDRF"
      },
      "source": [
        "def frequentItemsetGeneration(data,itemset,minsupport):\r\n",
        "  itemset1=createItem(data)\r\n",
        "  frequentitem1,supportDict=scanData(data,itemset1,minsupport)\r\n",
        "  frequentItemsets=[frequentitem1]\r\n",
        "  k=2\r\n",
        "  while(len(frequentItemsets[k-2]) > 0):\r\n",
        "    itemsetk=itemSetGenerator(frequentItemsets[k-2],k)\r\n",
        "    frequentitemk,supportDictk=scanData(data,itemsetk,minsupport)\r\n",
        "    supportDict.update(supportDictk)\r\n",
        "    frequentItemsets.append(frequentitemk)\r\n",
        "    k=k+1\r\n",
        "  return frequentItemsets,supportDict\r\n",
        "\r\n"
      ],
      "execution_count": 44,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hS5p9G4_8iHW"
      },
      "source": [
        "freq,supportDict3=frequentItemsetGeneration(Dataset,unique_list,minsupport=0.01)"
      ],
      "execution_count": 45,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6L9D255O8sER",
        "outputId": "93eb2e4b-d981-410c-af26-7fb5d67c8dc5"
      },
      "source": [
        "supportDict3"
      ],
      "execution_count": 49,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{frozenset({'almonds'}): 0.020397280362618318,\n",
              " frozenset({'avocado'}): 0.03332888948140248,\n",
              " frozenset({'cottage cheese'}): 0.03186241834422077,\n",
              " frozenset({'energy drink'}): 0.026663111585121985,\n",
              " frozenset({'frozen smoothie'}): 0.06332489001466471,\n",
              " frozenset({'green tea'}): 0.13211571790427942,\n",
              " frozenset({'honey'}): 0.047460338621517134,\n",
              " frozenset({'low fat yogurt'}): 0.07652313024930009,\n",
              " frozenset({'mineral water'}): 0.23836821757099053,\n",
              " frozenset({'olive oil'}): 0.0658578856152513,\n",
              " frozenset({'salmon'}): 0.04252766297826956,\n",
              " frozenset({'shrimp'}): 0.07145713904812692,\n",
              " frozenset({'tomato juice'}): 0.030395947207039063,\n",
              " frozenset({'vegetables mix'}): 0.025729902679642713,\n",
              " frozenset({'yams'}): 0.011465137981602452,\n",
              " frozenset({'burgers'}): 0.0871883748833489,\n",
              " frozenset({'eggs'}): 0.17970937208372217,\n",
              " frozenset({'meatballs'}): 0.020930542594320756,\n",
              " frozenset({'turkey'}): 0.06252499666711105,\n",
              " frozenset({'energy bar'}): 0.027063058258898813,\n",
              " frozenset({'milk'}): 0.12958272230369283,\n",
              " frozenset({'whole wheat rice'}): 0.058525529929342755,\n",
              " frozenset({'french fries'}): 0.1709105452606319,\n",
              " frozenset({'whole wheat pasta'}): 0.029462738301559793,\n",
              " frozenset({'light cream'}): 0.01559792027729636,\n",
              " frozenset({'soup'}): 0.05052659645380616,\n",
              " frozenset({'frozen vegetables'}): 0.09532062391681109,\n",
              " frozenset({'spaghetti'}): 0.17411011865084655,\n",
              " frozenset({'cookies'}): 0.08038928142914278,\n",
              " frozenset({'cooking oil'}): 0.0510598586855086,\n",
              " frozenset({'champagne'}): 0.04679376083188908,\n",
              " frozenset({'chicken'}): 0.05999200106652446,\n",
              " frozenset({'chocolate'}): 0.1638448206905746,\n",
              " frozenset({'oil'}): 0.023063591521130515,\n",
              " frozenset({'black tea'}): 0.014264764698040262,\n",
              " frozenset({'extra dark chocolate'}): 0.011998400213304892,\n",
              " frozenset({'fresh tuna'}): 0.022263698173576856,\n",
              " frozenset({'tomatoes'}): 0.06839088121583789,\n",
              " frozenset({'protein bar'}): 0.01853086255165978,\n",
              " frozenset({'pasta'}): 0.01573123583522197,\n",
              " frozenset({'pepper'}): 0.026529796027196375,\n",
              " frozenset({'red wine'}): 0.028129582722303693,\n",
              " frozenset({'rice'}): 0.018797493667511,\n",
              " frozenset({'body spray'}): 0.011465137981602452,\n",
              " frozenset({'ham'}): 0.026529796027196375,\n",
              " frozenset({'pancakes'}): 0.09505399280095987,\n",
              " frozenset({'grated cheese'}): 0.0523930142647647,\n",
              " frozenset({'white wine'}): 0.01653112918277563,\n",
              " frozenset({'fresh bread'}): 0.043060925209972005,\n",
              " frozenset({'parmesan cheese'}): 0.01986401813091588,\n",
              " frozenset({'escalope'}): 0.0793227569657379,\n",
              " frozenset({'ground beef'}): 0.09825356619117451,\n",
              " frozenset({'herb & pepper'}): 0.04946007199040128,\n",
              " frozenset({'magazines'}): 0.010931875749900012,\n",
              " frozenset({'tomato sauce'}): 0.014131449140114652,\n",
              " frozenset({'strawberries'}): 0.021330489268097587,\n",
              " frozenset({'cake'}): 0.08105585921877083,\n",
              " frozenset({'hot dogs'}): 0.03239568057592321,\n",
              " frozenset({'brownies'}): 0.03372883615517931,\n",
              " frozenset({'cereals'}): 0.025729902679642713,\n",
              " frozenset({'muffins'}): 0.024130115984535395,\n",
              " frozenset({'light mayo'}): 0.027196373816824423,\n",
              " frozenset({'gums'}): 0.013464871350486601,\n",
              " frozenset({'cider'}): 0.010531929076123183,\n",
              " frozenset({'yogurt cake'}): 0.027329689374750034,\n",
              " frozenset({'mint'}): 0.0174643380882549,\n",
              " frozenset({'butter'}): 0.030129316091187842,\n",
              " frozenset({'french wine'}): 0.022530329289428077,\n",
              " frozenset({'barbecue sauce'}): 0.010798560191974404,\n",
              " frozenset({'carrots'}): 0.01533128916144514,\n",
              " frozenset({'mushroom cream sauce'}): 0.019064124783362217,\n",
              " frozenset({'nonfat milk'}): 0.010398613518197574,\n",
              " frozenset({'eggplant'}): 0.013198240234635382,\n",
              " frozenset({'fromage blanc'}): 0.013598186908412212,\n",
              " frozenset({'melons'}): 0.011998400213304892,\n",
              " frozenset({'mineral water', 'shrimp'}): 0.023596853752832957,\n",
              " frozenset({'green tea', 'shrimp'}): 0.011465137981602452,\n",
              " frozenset({'mineral water', 'salmon'}): 0.017064391414478068,\n",
              " frozenset({'mineral water', 'olive oil'}): 0.027596320490601255,\n",
              " frozenset({'low fat yogurt', 'mineral water'}): 0.023996800426609784,\n",
              " frozenset({'honey', 'mineral water'}): 0.015064658045593921,\n",
              " frozenset({'green tea', 'mineral water'}): 0.03106252499666711,\n",
              " frozenset({'frozen smoothie', 'mineral water'}): 0.020263964804692707,\n",
              " frozenset({'avocado', 'mineral water'}): 0.011598453539528063,\n",
              " frozenset({'frozen smoothie', 'green tea'}): 0.011198506865751233,\n",
              " frozenset({'burgers', 'eggs'}): 0.02879616051193174,\n",
              " frozenset({'milk', 'whole wheat rice'}): 0.011865084655379284,\n",
              " frozenset({'mineral water', 'whole wheat rice'}): 0.020130649246767097,\n",
              " frozenset({'milk', 'mineral water'}): 0.04799360085321957,\n",
              " frozenset({'green tea', 'milk'}): 0.01759765364618051,\n",
              " frozenset({'frozen vegetables', 'spaghetti'}): 0.027862951606452472,\n",
              " frozenset({'green tea', 'spaghetti'}): 0.026529796027196375,\n",
              " frozenset({'frozen vegetables', 'green tea'}): 0.01439808025596587,\n",
              " frozenset({'cooking oil', 'eggs'}): 0.011731769097453673,\n",
              " frozenset({'cooking oil', 'mineral water'}): 0.020130649246767097,\n",
              " frozenset({'eggs', 'turkey'}): 0.01946407145713905,\n",
              " frozenset({'burgers', 'turkey'}): 0.010665244634048793,\n",
              " frozenset({'mineral water', 'turkey'}): 0.019197440341287828,\n",
              " frozenset({'eggs', 'mineral water'}): 0.05092654312758299,\n",
              " frozenset({'burgers', 'mineral water'}): 0.024396747100386616,\n",
              " frozenset({'chicken', 'chocolate'}): 0.014664711371817091,\n",
              " frozenset({'chocolate', 'cooking oil'}): 0.013598186908412212,\n",
              " frozenset({'chocolate', 'shrimp'}): 0.017997600319957337,\n",
              " frozenset({'chocolate', 'low fat yogurt'}): 0.014798026929742702,\n",
              " frozenset({'spaghetti', 'tomatoes'}): 0.020930542594320756,\n",
              " frozenset({'eggs', 'tomatoes'}): 0.012265031329156113,\n",
              " frozenset({'mineral water', 'tomatoes'}): 0.024396747100386616,\n",
              " frozenset({'chicken', 'spaghetti'}): 0.01719770697240368,\n",
              " frozenset({'chicken', 'eggs'}): 0.01439808025596587,\n",
              " frozenset({'chicken', 'mineral water'}): 0.022796960405279298,\n",
              " frozenset({'spaghetti', 'turkey'}): 0.01653112918277563,\n",
              " frozenset({'eggs', 'spaghetti'}): 0.036528462871617116,\n",
              " frozenset({'salmon', 'spaghetti'}): 0.013464871350486601,\n",
              " frozenset({'mineral water', 'spaghetti'}): 0.05972536995067324,\n",
              " frozenset({'french fries', 'milk'}): 0.023730169310758567,\n",
              " frozenset({'chocolate', 'eggs'}): 0.03319557392347687,\n",
              " frozenset({'eggs', 'shrimp'}): 0.014131449140114652,\n",
              " frozenset({'pancakes', 'spaghetti'}): 0.025196640447940274,\n",
              " frozenset({'mineral water', 'pancakes'}): 0.03372883615517931,\n",
              " frozenset({'green tea', 'pancakes'}): 0.01639781362485002,\n",
              " frozenset({'soup', 'spaghetti'}): 0.014264764698040262,\n",
              " frozenset({'milk', 'spaghetti'}): 0.03546193840821224,\n",
              " frozenset({'milk', 'soup'}): 0.015197973603519531,\n",
              " frozenset({'ground beef', 'spaghetti'}): 0.03919477403012932,\n",
              " frozenset({'ground beef', 'milk'}): 0.021997067057725635,\n",
              " frozenset({'ground beef', 'mineral water'}): 0.040927876283162246,\n",
              " frozenset({'escalope', 'spaghetti'}): 0.013998133582189041,\n",
              " frozenset({'escalope', 'mineral water'}): 0.017064391414478068,\n",
              " frozenset({'frozen smoothie', 'spaghetti'}): 0.01559792027729636,\n",
              " frozenset({'frozen smoothie', 'milk'}): 0.014264764698040262,\n",
              " frozenset({'chocolate', 'french fries'}): 0.03439541394480736,\n",
              " frozenset({'chocolate', 'mineral water'}): 0.05265964538061592,\n",
              " frozenset({'chicken', 'french fries'}): 0.011065191307825623,\n",
              " frozenset({'eggs', 'french fries'}): 0.036395147313691506,\n",
              " frozenset({'french fries', 'mineral water'}): 0.03372883615517931,\n",
              " frozenset({'frozen vegetables', 'mineral water'}): 0.03572856952406346,\n",
              " frozenset({'french fries', 'turkey'}): 0.010665244634048793,\n",
              " frozenset({'chocolate', 'frozen vegetables'}): 0.022930275963204905,\n",
              " frozenset({'mineral water', 'red wine'}): 0.010931875749900012,\n",
              " frozenset({'cake', 'mineral water'}): 0.027463004932675644,\n",
              " frozenset({'spaghetti', 'whole wheat rice'}): 0.014131449140114652,\n",
              " frozenset({'honey', 'spaghetti'}): 0.011865084655379284,\n",
              " frozenset({'french fries', 'pancakes'}): 0.020130649246767097,\n",
              " frozenset({'french fries', 'green tea'}): 0.028529529396080524,\n",
              " frozenset({'cereals', 'mineral water'}): 0.010265297960271964,\n",
              " frozenset({'burgers', 'green tea'}): 0.0174643380882549,\n",
              " frozenset({'chocolate', 'spaghetti'}): 0.03919477403012932,\n",
              " frozenset({'chocolate', 'green tea'}): 0.023463538194907346,\n",
              " frozenset({'escalope', 'french fries'}): 0.01639781362485002,\n",
              " frozenset({'ground beef', 'tomatoes'}): 0.011731769097453673,\n",
              " frozenset({'chocolate', 'ground beef'}): 0.023063591521130515,\n",
              " frozenset({'frozen vegetables', 'ground beef'}): 0.01693107585655246,\n",
              " frozenset({'ground beef', 'olive oil'}): 0.014131449140114652,\n",
              " frozenset({'chocolate', 'tomatoes'}): 0.013998133582189041,\n",
              " frozenset({'frozen vegetables', 'tomatoes'}): 0.0161311825089988,\n",
              " frozenset({'milk', 'tomatoes'}): 0.013998133582189041,\n",
              " frozenset({'chocolate', 'soup'}): 0.010131982402346354,\n",
              " frozenset({'chocolate', 'milk'}): 0.03212904946007199,\n",
              " frozenset({'chocolate', 'turkey'}): 0.011331822423676844,\n",
              " frozenset({'chocolate', 'olive oil'}): 0.01639781362485002,\n",
              " frozenset({'olive oil', 'spaghetti'}): 0.022930275963204905,\n",
              " frozenset({'frozen vegetables', 'milk'}): 0.023596853752832957,\n",
              " frozenset({'frozen vegetables', 'olive oil'}): 0.011331822423676844,\n",
              " frozenset({'mineral water', 'soup'}): 0.023063591521130515,\n",
              " frozenset({'milk', 'turkey'}): 0.011331822423676844,\n",
              " frozenset({'milk', 'olive oil'}): 0.017064391414478068,\n",
              " frozenset({'cookies', 'eggs'}): 0.010531929076123183,\n",
              " frozenset({'chicken', 'green tea'}): 0.011865084655379284,\n",
              " frozenset({'green tea', 'turkey'}): 0.011865084655379284,\n",
              " frozenset({'ground beef', 'herb & pepper'}): 0.015997866951073192,\n",
              " frozenset({'herb & pepper', 'mineral water'}): 0.017064391414478068,\n",
              " frozenset({'grated cheese', 'ground beef'}): 0.011331822423676844,\n",
              " frozenset({'grated cheese', 'spaghetti'}): 0.01653112918277563,\n",
              " frozenset({'grated cheese', 'mineral water'}): 0.0174643380882549,\n",
              " frozenset({'cake', 'french fries'}): 0.01786428476203173,\n",
              " frozenset({'cake', 'eggs'}): 0.019064124783362217,\n",
              " frozenset({'french fries', 'spaghetti'}): 0.027596320490601255,\n",
              " frozenset({'burgers', 'spaghetti'}): 0.021463804826023197,\n",
              " frozenset({'burgers', 'french fries'}): 0.021997067057725635,\n",
              " frozenset({'burgers', 'milk'}): 0.01786428476203173,\n",
              " frozenset({'eggs', 'herb & pepper'}): 0.012531662445007332,\n",
              " frozenset({'chocolate', 'frozen smoothie'}): 0.01493134248766831,\n",
              " frozenset({'french fries', 'low fat yogurt'}): 0.013331555792560993,\n",
              " frozenset({'herb & pepper', 'spaghetti'}): 0.01626449806692441,\n",
              " frozenset({'shrimp', 'spaghetti'}): 0.021197173710171976,\n",
              " frozenset({'eggs', 'olive oil'}): 0.011998400213304892,\n",
              " frozenset({'cookies', 'french fries'}): 0.013331555792560993,\n",
              " frozenset({'cookies', 'green tea'}): 0.011998400213304892,\n",
              " frozenset({'eggs', 'green tea'}): 0.025463271563791495,\n",
              " frozenset({'green tea', 'ground beef'}): 0.014798026929742702,\n",
              " frozenset({'eggs', 'ground beef'}): 0.019997333688841486,\n",
              " frozenset({'burgers', 'ground beef'}): 0.011998400213304892,\n",
              " frozenset({'burgers', 'chocolate'}): 0.017064391414478068,\n",
              " frozenset({'eggs', 'milk'}): 0.03079589388081589,\n",
              " frozenset({'milk', 'shrimp'}): 0.01759765364618051,\n",
              " frozenset({'chocolate', 'escalope'}): 0.01759765364618051,\n",
              " frozenset({'fresh bread', 'mineral water'}): 0.013331555792560993,\n",
              " frozenset({'champagne', 'chocolate'}): 0.011598453539528063,\n",
              " frozenset({'eggs', 'low fat yogurt'}): 0.01679776029862685,\n",
              " frozenset({'eggs', 'pancakes'}): 0.021730435941874418,\n",
              " frozenset({'french fries', 'grated cheese'}): 0.010398613518197574,\n",
              " frozenset({'chocolate', 'pancakes'}): 0.01986401813091588,\n",
              " frozenset({'frozen vegetables', 'pancakes'}): 0.013464871350486601,\n",
              " frozenset({'milk', 'pancakes'}): 0.01653112918277563,\n",
              " frozenset({'burgers', 'pancakes'}): 0.010531929076123183,\n",
              " frozenset({'pancakes', 'shrimp'}): 0.010531929076123183,\n",
              " frozenset({'low fat yogurt', 'spaghetti'}): 0.015197973603519531,\n",
              " frozenset({'french fries', 'frozen vegetables'}): 0.019064124783362217,\n",
              " frozenset({'eggs', 'frozen vegetables'}): 0.021730435941874418,\n",
              " frozenset({'burgers', 'frozen vegetables'}): 0.010531929076123183,\n",
              " frozenset({'frozen vegetables', 'shrimp'}): 0.01666444474070124,\n",
              " frozenset({'frozen vegetables', 'low fat yogurt'}): 0.010131982402346354,\n",
              " frozenset({'low fat yogurt', 'milk'}): 0.013198240234635382,\n",
              " frozenset({'cake', 'spaghetti'}): 0.018130915877882948,\n",
              " frozenset({'french fries', 'tomatoes'}): 0.011998400213304892,\n",
              " frozenset({'eggs', 'frozen smoothie'}): 0.011065191307825623,\n",
              " frozenset({'cake', 'chocolate'}): 0.013598186908412212,\n",
              " frozenset({'cake', 'milk'}): 0.013331555792560993,\n",
              " frozenset({'red wine', 'spaghetti'}): 0.010265297960271964,\n",
              " frozenset({'cooking oil', 'spaghetti'}): 0.01586455139314758,\n",
              " frozenset({'cooking oil', 'milk'}): 0.011465137981602452,\n",
              " frozenset({'ground beef', 'shrimp'}): 0.011465137981602452,\n",
              " frozenset({'chocolate', 'whole wheat rice'}): 0.011998400213304892,\n",
              " frozenset({'eggs', 'whole wheat rice'}): 0.010931875749900012,\n",
              " frozenset({'olive oil', 'pancakes'}): 0.010798560191974404,\n",
              " frozenset({'shrimp', 'tomatoes'}): 0.011198506865751233,\n",
              " frozenset({'french fries', 'frozen smoothie'}): 0.014531395813891481,\n",
              " frozenset({'ground beef', 'pancakes'}): 0.014531395813891481,\n",
              " frozenset({'eggs', 'escalope'}): 0.011065191307825623,\n",
              " frozenset({'chocolate', 'grated cheese'}): 0.010931875749900012,\n",
              " frozenset({'burgers', 'cake'}): 0.011465137981602452,\n",
              " frozenset({'cake', 'green tea'}): 0.014131449140114652,\n",
              " frozenset({'chocolate', 'salmon'}): 0.010665244634048793,\n",
              " frozenset({'chocolate', 'cookies'}): 0.010398613518197574,\n",
              " frozenset({'french fries', 'ground beef'}): 0.01386481802426343,\n",
              " frozenset({'french fries', 'whole wheat rice'}): 0.010531929076123183,\n",
              " frozenset({'green tea', 'tomatoes'}): 0.012265031329156113,\n",
              " frozenset({'cake', 'frozen vegetables'}): 0.010265297960271964,\n",
              " frozenset({'cake', 'pancakes'}): 0.011865084655379284,\n",
              " frozenset({'chicken', 'milk'}): 0.014798026929742702,\n",
              " frozenset({'eggs', 'mineral water', 'spaghetti'}): 0.014264764698040262,\n",
              " frozenset({'mineral water', 'pancakes', 'spaghetti'}): 0.011465137981602452,\n",
              " frozenset({'ground beef', 'milk', 'mineral water'}): 0.011065191307825623,\n",
              " frozenset({'ground beef',\n",
              "            'mineral water',\n",
              "            'spaghetti'}): 0.017064391414478068,\n",
              " frozenset({'milk', 'mineral water', 'spaghetti'}): 0.01573123583522197,\n",
              " frozenset({'chocolate', 'eggs', 'mineral water'}): 0.013464871350486601,\n",
              " frozenset({'frozen vegetables',\n",
              "            'mineral water',\n",
              "            'spaghetti'}): 0.011998400213304892,\n",
              " frozenset({'frozen vegetables',\n",
              "            'milk',\n",
              "            'mineral water'}): 0.011065191307825623,\n",
              " frozenset({'chocolate', 'milk', 'spaghetti'}): 0.010931875749900012,\n",
              " frozenset({'chocolate', 'milk', 'mineral water'}): 0.013998133582189041,\n",
              " frozenset({'chocolate',\n",
              "            'ground beef',\n",
              "            'mineral water'}): 0.010931875749900012,\n",
              " frozenset({'chocolate', 'mineral water', 'spaghetti'}): 0.01586455139314758,\n",
              " frozenset({'mineral water', 'olive oil', 'spaghetti'}): 0.010265297960271964,\n",
              " frozenset({'chocolate', 'eggs', 'spaghetti'}): 0.010531929076123183,\n",
              " frozenset({'eggs', 'ground beef', 'mineral water'}): 0.010131982402346354,\n",
              " frozenset({'eggs', 'milk', 'mineral water'}): 0.013064924676709772,\n",
              " frozenset({'french fries',\n",
              "            'mineral water',\n",
              "            'spaghetti'}): 0.010131982402346354}"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 49
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "JV9PwnFFDhMv"
      },
      "source": [
        "Rule generation I"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DEQ0Wne99DHf"
      },
      "source": [
        "def calcConf(freqSet, H, supportDict, bigRuleList, minConf):\r\n",
        "\r\n",
        "    prunedH = []\r\n",
        "    \r\n",
        "    for conseq in H:\r\n",
        "        conf = supportDict[freqSet]/ supportDict[freqSet-conseq]\r\n",
        "        if conf >= minConf:\r\n",
        "            bigRuleList.append((freqSet-conseq, conseq, conf))\r\n",
        "            print(freqSet-conseq, '->', conseq, 'confidence: ', conf )\r\n",
        "            prunedH.append(conseq)\r\n",
        "    \r\n",
        "    return prunedH"
      ],
      "execution_count": 53,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1RGJy5yoD_Ab"
      },
      "source": [
        "**Confidence-based pruning**\r\n",
        "Let’s generate rules for the itemset {a, b, c, d}.\r\n",
        "\r\n",
        "If the confidence for {b, c, d} ---> {a} is less than the threshold. then we can eliminate all the rules in which the consequent consists of higher-order itemsets containing {a}.\r\n",
        "\r\n",
        "Hence, we can eliminate {b, d} → {a, c}, {c, d} → {a, b}, {b, c} → {a, d}, {d} → {a, b, c}.\r\n",
        "\r\n",
        "Let us understand this concept from the mathematical perspective (This part is an optional reading):\r\n",
        "\r\n",
        "Based on the Apriori principle, we can write the following inequality:\r\n",
        "support({a})    ≥    support({a, b})   ≥    support({a, b, c})\r\n",
        "\r\n",
        "Hence, the following equation must hold true:\r\n",
        "\r\n",
        "\r\n",
        " \r\n",
        "\r\n",
        " \r\n",
        "\r\n",
        "If you notice carefully, each term is the confidence of a rule generated from the frequent set {a, b, c, d}. Thus we have,\r\n",
        "\r\n",
        "\r\n",
        "\r\n",
        " \r\n",
        "\r\n",
        "or\r\n",
        "\r\n",
        "\r\n",
        "\r\n",
        " \r\n",
        "\r\n",
        "\r\n",
        "From the above inequality, we can infer that if the rule, {a, b, c} ---> {d} is below the confidence threshold, then all the rules obtained from the same frequent item set but having consequents that are a superset of {d} (like {a, d}, {b, c, d}, {c, d}, {a, b, d}) will also be below the confidence threshold.\r\n",
        "\r\n",
        " "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xeIiD54MEE_v"
      },
      "source": [
        "def generateRules(freqItemsets, supportDict, minConf):  # supportDict is a dictionary coming from scanData\r\n",
        "\r\n",
        "    bigRuleList = []\r\n",
        "\r\n",
        "    for i in range(1, len(freqItemsets)):\r\n",
        "        for freqset in freqItemsets[i]:\r\n",
        "            H1 = [frozenset([item]) for item in freqset]\r\n",
        "            \r\n",
        "            if i>1:\r\n",
        "                rulesFromConseq(freqset, H1, supportDict, bigRuleList, minConf)\r\n",
        "            else:\r\n",
        "                calcConf(freqset, H1, supportDict, bigRuleList, minConf)\r\n",
        " \r\n",
        "    return bigRuleList "
      ],
      "execution_count": 61,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xD5ZSBDzYoBT"
      },
      "source": [
        "def rulesFromConseq(freqSet, H, supportDict, bigRuleList, minConf):\r\n",
        "    k= len(H[0])\r\n",
        "    H = calcConf(freqSet, H, supportDict, bigRuleList, minConf)\r\n",
        "    \r\n",
        "    \r\n",
        "    if len(H)>1:\r\n",
        "        H1 = itemSetGenerator(H, k+1)\r\n",
        "        \r\n",
        "        if H1==[]:\r\n",
        "            return 0\r\n",
        "        \r\n",
        "        if (len(H1[0]) < len(freqSet)):\r\n",
        "            rulesFromConseq(freqSet, H1, supportDict, bigRuleList, minConf)"
      ],
      "execution_count": 60,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Ng9iYdHXT0o7",
        "outputId": "528880b6-062d-4703-bb2b-f35614d63660"
      },
      "source": [
        "final_rules=generateRules(freq,supportDict3,0.01)"
      ],
      "execution_count": 63,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "frozenset({'milk'}) -> frozenset({'chicken'}) confidence:  0.11419753086419754\n",
            "frozenset({'chicken'}) -> frozenset({'milk'}) confidence:  0.24666666666666667\n",
            "frozenset({'pancakes'}) -> frozenset({'cake'}) confidence:  0.12482468443197757\n",
            "frozenset({'cake'}) -> frozenset({'pancakes'}) confidence:  0.14638157894736845\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'cake'}) confidence:  0.1076923076923077\n",
            "frozenset({'cake'}) -> frozenset({'frozen vegetables'}) confidence:  0.12664473684210528\n",
            "frozenset({'tomatoes'}) -> frozenset({'green tea'}) confidence:  0.1793372319688109\n",
            "frozenset({'green tea'}) -> frozenset({'tomatoes'}) confidence:  0.09283551967709386\n",
            "frozenset({'whole wheat rice'}) -> frozenset({'french fries'}) confidence:  0.17995444191343962\n",
            "frozenset({'french fries'}) -> frozenset({'whole wheat rice'}) confidence:  0.06162246489859594\n",
            "frozenset({'ground beef'}) -> frozenset({'french fries'}) confidence:  0.14111261872455902\n",
            "frozenset({'french fries'}) -> frozenset({'ground beef'}) confidence:  0.0811232449297972\n",
            "frozenset({'cookies'}) -> frozenset({'chocolate'}) confidence:  0.12935323383084577\n",
            "frozenset({'chocolate'}) -> frozenset({'cookies'}) confidence:  0.06346623270951994\n",
            "frozenset({'salmon'}) -> frozenset({'chocolate'}) confidence:  0.2507836990595611\n",
            "frozenset({'chocolate'}) -> frozenset({'salmon'}) confidence:  0.06509357200976403\n",
            "frozenset({'cake'}) -> frozenset({'green tea'}) confidence:  0.1743421052631579\n",
            "frozenset({'green tea'}) -> frozenset({'cake'}) confidence:  0.10696266397578205\n",
            "frozenset({'burgers'}) -> frozenset({'cake'}) confidence:  0.1314984709480122\n",
            "frozenset({'cake'}) -> frozenset({'burgers'}) confidence:  0.14144736842105263\n",
            "frozenset({'chocolate'}) -> frozenset({'grated cheese'}) confidence:  0.06672091131000812\n",
            "frozenset({'grated cheese'}) -> frozenset({'chocolate'}) confidence:  0.20865139949109412\n",
            "frozenset({'eggs'}) -> frozenset({'escalope'}) confidence:  0.0615727002967359\n",
            "frozenset({'escalope'}) -> frozenset({'eggs'}) confidence:  0.13949579831932774\n",
            "frozenset({'ground beef'}) -> frozenset({'pancakes'}) confidence:  0.14789687924016282\n",
            "frozenset({'pancakes'}) -> frozenset({'ground beef'}) confidence:  0.15287517531556802\n",
            "frozenset({'frozen smoothie'}) -> frozenset({'french fries'}) confidence:  0.22947368421052633\n",
            "frozenset({'french fries'}) -> frozenset({'frozen smoothie'}) confidence:  0.08502340093603744\n",
            "frozenset({'shrimp'}) -> frozenset({'tomatoes'}) confidence:  0.15671641791044774\n",
            "frozenset({'tomatoes'}) -> frozenset({'shrimp'}) confidence:  0.16374269005847952\n",
            "frozenset({'pancakes'}) -> frozenset({'olive oil'}) confidence:  0.11360448807854139\n",
            "frozenset({'olive oil'}) -> frozenset({'pancakes'}) confidence:  0.1639676113360324\n",
            "frozenset({'whole wheat rice'}) -> frozenset({'eggs'}) confidence:  0.18678815489749429\n",
            "frozenset({'eggs'}) -> frozenset({'whole wheat rice'}) confidence:  0.06083086053412462\n",
            "frozenset({'whole wheat rice'}) -> frozenset({'chocolate'}) confidence:  0.20501138952164008\n",
            "frozenset({'chocolate'}) -> frozenset({'whole wheat rice'}) confidence:  0.07323026851098453\n",
            "frozenset({'ground beef'}) -> frozenset({'shrimp'}) confidence:  0.11668928086838534\n",
            "frozenset({'shrimp'}) -> frozenset({'ground beef'}) confidence:  0.16044776119402984\n",
            "frozenset({'cooking oil'}) -> frozenset({'milk'}) confidence:  0.22454308093994776\n",
            "frozenset({'milk'}) -> frozenset({'cooking oil'}) confidence:  0.08847736625514403\n",
            "frozenset({'cooking oil'}) -> frozenset({'spaghetti'}) confidence:  0.31070496083550914\n",
            "frozenset({'spaghetti'}) -> frozenset({'cooking oil'}) confidence:  0.09111791730474733\n",
            "frozenset({'red wine'}) -> frozenset({'spaghetti'}) confidence:  0.36492890995260663\n",
            "frozenset({'spaghetti'}) -> frozenset({'red wine'}) confidence:  0.058958652373660034\n",
            "frozenset({'cake'}) -> frozenset({'milk'}) confidence:  0.16447368421052633\n",
            "frozenset({'milk'}) -> frozenset({'cake'}) confidence:  0.10288065843621401\n",
            "frozenset({'cake'}) -> frozenset({'chocolate'}) confidence:  0.16776315789473684\n",
            "frozenset({'chocolate'}) -> frozenset({'cake'}) confidence:  0.08299430431244914\n",
            "frozenset({'frozen smoothie'}) -> frozenset({'eggs'}) confidence:  0.17473684210526316\n",
            "frozenset({'eggs'}) -> frozenset({'frozen smoothie'}) confidence:  0.0615727002967359\n",
            "frozenset({'tomatoes'}) -> frozenset({'french fries'}) confidence:  0.17543859649122806\n",
            "frozenset({'french fries'}) -> frozenset({'tomatoes'}) confidence:  0.0702028081123245\n",
            "frozenset({'spaghetti'}) -> frozenset({'cake'}) confidence:  0.10413476263399693\n",
            "frozenset({'cake'}) -> frozenset({'spaghetti'}) confidence:  0.2236842105263158\n",
            "frozenset({'low fat yogurt'}) -> frozenset({'milk'}) confidence:  0.17247386759581884\n",
            "frozenset({'milk'}) -> frozenset({'low fat yogurt'}) confidence:  0.10185185185185186\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'low fat yogurt'}) confidence:  0.1062937062937063\n",
            "frozenset({'low fat yogurt'}) -> frozenset({'frozen vegetables'}) confidence:  0.13240418118466898\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'shrimp'}) confidence:  0.17482517482517482\n",
            "frozenset({'shrimp'}) -> frozenset({'frozen vegetables'}) confidence:  0.23320895522388058\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'burgers'}) confidence:  0.11048951048951049\n",
            "frozenset({'burgers'}) -> frozenset({'frozen vegetables'}) confidence:  0.12079510703363913\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'eggs'}) confidence:  0.22797202797202798\n",
            "frozenset({'eggs'}) -> frozenset({'frozen vegetables'}) confidence:  0.12091988130563798\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'french fries'}) confidence:  0.19999999999999998\n",
            "frozenset({'french fries'}) -> frozenset({'frozen vegetables'}) confidence:  0.11154446177847115\n",
            "frozenset({'low fat yogurt'}) -> frozenset({'spaghetti'}) confidence:  0.1986062717770035\n",
            "frozenset({'spaghetti'}) -> frozenset({'low fat yogurt'}) confidence:  0.08728943338437979\n",
            "frozenset({'pancakes'}) -> frozenset({'shrimp'}) confidence:  0.11079943899018233\n",
            "frozenset({'shrimp'}) -> frozenset({'pancakes'}) confidence:  0.14738805970149252\n",
            "frozenset({'burgers'}) -> frozenset({'pancakes'}) confidence:  0.12079510703363913\n",
            "frozenset({'pancakes'}) -> frozenset({'burgers'}) confidence:  0.11079943899018233\n",
            "frozenset({'pancakes'}) -> frozenset({'milk'}) confidence:  0.17391304347826086\n",
            "frozenset({'milk'}) -> frozenset({'pancakes'}) confidence:  0.12757201646090535\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'pancakes'}) confidence:  0.14125874125874124\n",
            "frozenset({'pancakes'}) -> frozenset({'frozen vegetables'}) confidence:  0.14165497896213183\n",
            "frozenset({'pancakes'}) -> frozenset({'chocolate'}) confidence:  0.20897615708274897\n",
            "frozenset({'chocolate'}) -> frozenset({'pancakes'}) confidence:  0.12123677786818551\n",
            "frozenset({'french fries'}) -> frozenset({'grated cheese'}) confidence:  0.0608424336973479\n",
            "frozenset({'grated cheese'}) -> frozenset({'french fries'}) confidence:  0.19847328244274812\n",
            "frozenset({'pancakes'}) -> frozenset({'eggs'}) confidence:  0.2286115007012623\n",
            "frozenset({'eggs'}) -> frozenset({'pancakes'}) confidence:  0.12091988130563798\n",
            "frozenset({'low fat yogurt'}) -> frozenset({'eggs'}) confidence:  0.21951219512195125\n",
            "frozenset({'eggs'}) -> frozenset({'low fat yogurt'}) confidence:  0.09347181008902078\n",
            "frozenset({'chocolate'}) -> frozenset({'champagne'}) confidence:  0.07078925956061838\n",
            "frozenset({'champagne'}) -> frozenset({'chocolate'}) confidence:  0.24786324786324784\n",
            "frozenset({'fresh bread'}) -> frozenset({'mineral water'}) confidence:  0.30959752321981426\n",
            "frozenset({'mineral water'}) -> frozenset({'fresh bread'}) confidence:  0.055928411633109625\n",
            "frozenset({'chocolate'}) -> frozenset({'escalope'}) confidence:  0.10740439381611065\n",
            "frozenset({'escalope'}) -> frozenset({'chocolate'}) confidence:  0.22184873949579834\n",
            "frozenset({'shrimp'}) -> frozenset({'milk'}) confidence:  0.2462686567164179\n",
            "frozenset({'milk'}) -> frozenset({'shrimp'}) confidence:  0.1358024691358025\n",
            "frozenset({'milk'}) -> frozenset({'eggs'}) confidence:  0.23765432098765432\n",
            "frozenset({'eggs'}) -> frozenset({'milk'}) confidence:  0.17136498516320472\n",
            "frozenset({'burgers'}) -> frozenset({'chocolate'}) confidence:  0.19571865443425074\n",
            "frozenset({'chocolate'}) -> frozenset({'burgers'}) confidence:  0.10414971521562244\n",
            "frozenset({'burgers'}) -> frozenset({'ground beef'}) confidence:  0.13761467889908255\n",
            "frozenset({'ground beef'}) -> frozenset({'burgers'}) confidence:  0.12211668928086838\n",
            "frozenset({'ground beef'}) -> frozenset({'eggs'}) confidence:  0.20352781546811397\n",
            "frozenset({'eggs'}) -> frozenset({'ground beef'}) confidence:  0.11127596439169138\n",
            "frozenset({'ground beef'}) -> frozenset({'green tea'}) confidence:  0.15061058344640435\n",
            "frozenset({'green tea'}) -> frozenset({'ground beef'}) confidence:  0.11200807265388497\n",
            "frozenset({'green tea'}) -> frozenset({'eggs'}) confidence:  0.1927346115035318\n",
            "frozenset({'eggs'}) -> frozenset({'green tea'}) confidence:  0.14169139465875372\n",
            "frozenset({'cookies'}) -> frozenset({'green tea'}) confidence:  0.14925373134328357\n",
            "frozenset({'green tea'}) -> frozenset({'cookies'}) confidence:  0.09081735620585267\n",
            "frozenset({'cookies'}) -> frozenset({'french fries'}) confidence:  0.16583747927031509\n",
            "frozenset({'french fries'}) -> frozenset({'cookies'}) confidence:  0.07800312012480501\n",
            "frozenset({'olive oil'}) -> frozenset({'eggs'}) confidence:  0.18218623481781376\n",
            "frozenset({'eggs'}) -> frozenset({'olive oil'}) confidence:  0.06676557863501484\n",
            "frozenset({'spaghetti'}) -> frozenset({'shrimp'}) confidence:  0.1217457886676876\n",
            "frozenset({'shrimp'}) -> frozenset({'spaghetti'}) confidence:  0.2966417910447761\n",
            "frozenset({'spaghetti'}) -> frozenset({'herb & pepper'}) confidence:  0.09341500765696784\n",
            "frozenset({'herb & pepper'}) -> frozenset({'spaghetti'}) confidence:  0.32884097035040427\n",
            "frozenset({'low fat yogurt'}) -> frozenset({'french fries'}) confidence:  0.17421602787456447\n",
            "frozenset({'french fries'}) -> frozenset({'low fat yogurt'}) confidence:  0.07800312012480501\n",
            "frozenset({'frozen smoothie'}) -> frozenset({'chocolate'}) confidence:  0.23578947368421052\n",
            "frozenset({'chocolate'}) -> frozenset({'frozen smoothie'}) confidence:  0.09113100081366964\n",
            "frozenset({'eggs'}) -> frozenset({'herb & pepper'}) confidence:  0.06973293768545993\n",
            "frozenset({'herb & pepper'}) -> frozenset({'eggs'}) confidence:  0.25336927223719674\n",
            "frozenset({'burgers'}) -> frozenset({'milk'}) confidence:  0.20489296636085627\n",
            "frozenset({'milk'}) -> frozenset({'burgers'}) confidence:  0.13786008230452676\n",
            "frozenset({'burgers'}) -> frozenset({'french fries'}) confidence:  0.25229357798165136\n",
            "frozenset({'french fries'}) -> frozenset({'burgers'}) confidence:  0.12870514820592824\n",
            "frozenset({'burgers'}) -> frozenset({'spaghetti'}) confidence:  0.24617737003058102\n",
            "frozenset({'spaghetti'}) -> frozenset({'burgers'}) confidence:  0.12327718223583461\n",
            "frozenset({'spaghetti'}) -> frozenset({'french fries'}) confidence:  0.15849923430321594\n",
            "frozenset({'french fries'}) -> frozenset({'spaghetti'}) confidence:  0.16146645865834636\n",
            "frozenset({'cake'}) -> frozenset({'eggs'}) confidence:  0.23519736842105263\n",
            "frozenset({'eggs'}) -> frozenset({'cake'}) confidence:  0.10608308605341245\n",
            "frozenset({'cake'}) -> frozenset({'french fries'}) confidence:  0.22039473684210528\n",
            "frozenset({'french fries'}) -> frozenset({'cake'}) confidence:  0.1045241809672387\n",
            "frozenset({'mineral water'}) -> frozenset({'grated cheese'}) confidence:  0.0732662192393736\n",
            "frozenset({'grated cheese'}) -> frozenset({'mineral water'}) confidence:  0.3333333333333333\n",
            "frozenset({'spaghetti'}) -> frozenset({'grated cheese'}) confidence:  0.09494640122511486\n",
            "frozenset({'grated cheese'}) -> frozenset({'spaghetti'}) confidence:  0.3155216284987277\n",
            "frozenset({'ground beef'}) -> frozenset({'grated cheese'}) confidence:  0.1153324287652646\n",
            "frozenset({'grated cheese'}) -> frozenset({'ground beef'}) confidence:  0.2162849872773537\n",
            "frozenset({'mineral water'}) -> frozenset({'herb & pepper'}) confidence:  0.07158836689038031\n",
            "frozenset({'herb & pepper'}) -> frozenset({'mineral water'}) confidence:  0.34501347708894875\n",
            "frozenset({'ground beef'}) -> frozenset({'herb & pepper'}) confidence:  0.1628222523744912\n",
            "frozenset({'herb & pepper'}) -> frozenset({'ground beef'}) confidence:  0.3234501347708895\n",
            "frozenset({'turkey'}) -> frozenset({'green tea'}) confidence:  0.18976545842217488\n",
            "frozenset({'green tea'}) -> frozenset({'turkey'}) confidence:  0.0898082744702321\n",
            "frozenset({'chicken'}) -> frozenset({'green tea'}) confidence:  0.1977777777777778\n",
            "frozenset({'green tea'}) -> frozenset({'chicken'}) confidence:  0.0898082744702321\n",
            "frozenset({'cookies'}) -> frozenset({'eggs'}) confidence:  0.1310116086235489\n",
            "frozenset({'eggs'}) -> frozenset({'cookies'}) confidence:  0.0586053412462908\n",
            "frozenset({'milk'}) -> frozenset({'olive oil'}) confidence:  0.13168724279835392\n",
            "frozenset({'olive oil'}) -> frozenset({'milk'}) confidence:  0.2591093117408907\n",
            "frozenset({'milk'}) -> frozenset({'turkey'}) confidence:  0.0874485596707819\n",
            "frozenset({'turkey'}) -> frozenset({'milk'}) confidence:  0.18123667377398722\n",
            "frozenset({'mineral water'}) -> frozenset({'soup'}) confidence:  0.09675615212527965\n",
            "frozenset({'soup'}) -> frozenset({'mineral water'}) confidence:  0.45646437994722955\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'olive oil'}) confidence:  0.11888111888111888\n",
            "frozenset({'olive oil'}) -> frozenset({'frozen vegetables'}) confidence:  0.17206477732793524\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'milk'}) confidence:  0.24755244755244757\n",
            "frozenset({'milk'}) -> frozenset({'frozen vegetables'}) confidence:  0.1820987654320988\n",
            "frozenset({'spaghetti'}) -> frozenset({'olive oil'}) confidence:  0.13169984686064318\n",
            "frozenset({'olive oil'}) -> frozenset({'spaghetti'}) confidence:  0.3481781376518219\n",
            "frozenset({'olive oil'}) -> frozenset({'chocolate'}) confidence:  0.24898785425101214\n",
            "frozenset({'chocolate'}) -> frozenset({'olive oil'}) confidence:  0.1000813669650122\n",
            "frozenset({'turkey'}) -> frozenset({'chocolate'}) confidence:  0.18123667377398722\n",
            "frozenset({'chocolate'}) -> frozenset({'turkey'}) confidence:  0.0691619202603743\n",
            "frozenset({'milk'}) -> frozenset({'chocolate'}) confidence:  0.2479423868312757\n",
            "frozenset({'chocolate'}) -> frozenset({'milk'}) confidence:  0.19609438567941412\n",
            "frozenset({'soup'}) -> frozenset({'chocolate'}) confidence:  0.20052770448548812\n",
            "frozenset({'chocolate'}) -> frozenset({'soup'}) confidence:  0.06183889340927583\n",
            "frozenset({'tomatoes'}) -> frozenset({'milk'}) confidence:  0.2046783625730994\n",
            "frozenset({'milk'}) -> frozenset({'tomatoes'}) confidence:  0.1080246913580247\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'tomatoes'}) confidence:  0.1692307692307692\n",
            "frozenset({'tomatoes'}) -> frozenset({'frozen vegetables'}) confidence:  0.23586744639376217\n",
            "frozenset({'tomatoes'}) -> frozenset({'chocolate'}) confidence:  0.2046783625730994\n",
            "frozenset({'chocolate'}) -> frozenset({'tomatoes'}) confidence:  0.0854353132628153\n",
            "frozenset({'ground beef'}) -> frozenset({'olive oil'}) confidence:  0.14382632293080055\n",
            "frozenset({'olive oil'}) -> frozenset({'ground beef'}) confidence:  0.2145748987854251\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'ground beef'}) confidence:  0.17762237762237765\n",
            "frozenset({'ground beef'}) -> frozenset({'frozen vegetables'}) confidence:  0.17232021709633652\n",
            "frozenset({'ground beef'}) -> frozenset({'chocolate'}) confidence:  0.23473541383989144\n",
            "frozenset({'chocolate'}) -> frozenset({'ground beef'}) confidence:  0.1407648494711147\n",
            "frozenset({'ground beef'}) -> frozenset({'tomatoes'}) confidence:  0.11940298507462688\n",
            "frozenset({'tomatoes'}) -> frozenset({'ground beef'}) confidence:  0.17153996101364521\n",
            "frozenset({'french fries'}) -> frozenset({'escalope'}) confidence:  0.09594383775351015\n",
            "frozenset({'escalope'}) -> frozenset({'french fries'}) confidence:  0.20672268907563024\n",
            "frozenset({'green tea'}) -> frozenset({'chocolate'}) confidence:  0.17759838546922302\n",
            "frozenset({'chocolate'}) -> frozenset({'green tea'}) confidence:  0.14320585842148087\n",
            "frozenset({'spaghetti'}) -> frozenset({'chocolate'}) confidence:  0.22511485451761104\n",
            "frozenset({'chocolate'}) -> frozenset({'spaghetti'}) confidence:  0.23921887713588283\n",
            "frozenset({'burgers'}) -> frozenset({'green tea'}) confidence:  0.2003058103975535\n",
            "frozenset({'green tea'}) -> frozenset({'burgers'}) confidence:  0.13218970736629668\n",
            "frozenset({'mineral water'}) -> frozenset({'cereals'}) confidence:  0.04306487695749441\n",
            "frozenset({'cereals'}) -> frozenset({'mineral water'}) confidence:  0.3989637305699482\n",
            "frozenset({'green tea'}) -> frozenset({'french fries'}) confidence:  0.21594349142280528\n",
            "frozenset({'french fries'}) -> frozenset({'green tea'}) confidence:  0.1669266770670827\n",
            "frozenset({'pancakes'}) -> frozenset({'french fries'}) confidence:  0.211781206171108\n",
            "frozenset({'french fries'}) -> frozenset({'pancakes'}) confidence:  0.11778471138845555\n",
            "frozenset({'spaghetti'}) -> frozenset({'honey'}) confidence:  0.06814701378254212\n",
            "frozenset({'honey'}) -> frozenset({'spaghetti'}) confidence:  0.25\n",
            "frozenset({'spaghetti'}) -> frozenset({'whole wheat rice'}) confidence:  0.08116385911179173\n",
            "frozenset({'whole wheat rice'}) -> frozenset({'spaghetti'}) confidence:  0.24145785876993167\n",
            "frozenset({'mineral water'}) -> frozenset({'cake'}) confidence:  0.11521252796420582\n",
            "frozenset({'cake'}) -> frozenset({'mineral water'}) confidence:  0.33881578947368424\n",
            "frozenset({'red wine'}) -> frozenset({'mineral water'}) confidence:  0.38862559241706157\n",
            "frozenset({'mineral water'}) -> frozenset({'red wine'}) confidence:  0.04586129753914989\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'chocolate'}) confidence:  0.24055944055944053\n",
            "frozenset({'chocolate'}) -> frozenset({'frozen vegetables'}) confidence:  0.13995117982099267\n",
            "frozenset({'turkey'}) -> frozenset({'french fries'}) confidence:  0.1705756929637527\n",
            "frozenset({'french fries'}) -> frozenset({'turkey'}) confidence:  0.062402496099843996\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'mineral water'}) confidence:  0.37482517482517486\n",
            "frozenset({'mineral water'}) -> frozenset({'frozen vegetables'}) confidence:  0.1498881431767338\n",
            "frozenset({'mineral water'}) -> frozenset({'french fries'}) confidence:  0.14149888143176736\n",
            "frozenset({'french fries'}) -> frozenset({'mineral water'}) confidence:  0.19734789391575666\n",
            "frozenset({'eggs'}) -> frozenset({'french fries'}) confidence:  0.20252225519287834\n",
            "frozenset({'french fries'}) -> frozenset({'eggs'}) confidence:  0.21294851794071765\n",
            "frozenset({'chicken'}) -> frozenset({'french fries'}) confidence:  0.18444444444444444\n",
            "frozenset({'french fries'}) -> frozenset({'chicken'}) confidence:  0.06474258970358815\n",
            "frozenset({'mineral water'}) -> frozenset({'chocolate'}) confidence:  0.220917225950783\n",
            "frozenset({'chocolate'}) -> frozenset({'mineral water'}) confidence:  0.3213995117982099\n",
            "frozenset({'chocolate'}) -> frozenset({'french fries'}) confidence:  0.209926769731489\n",
            "frozenset({'french fries'}) -> frozenset({'chocolate'}) confidence:  0.20124804992199688\n",
            "frozenset({'frozen smoothie'}) -> frozenset({'milk'}) confidence:  0.22526315789473686\n",
            "frozenset({'milk'}) -> frozenset({'frozen smoothie'}) confidence:  0.11008230452674898\n",
            "frozenset({'spaghetti'}) -> frozenset({'frozen smoothie'}) confidence:  0.08958652373660031\n",
            "frozenset({'frozen smoothie'}) -> frozenset({'spaghetti'}) confidence:  0.24631578947368424\n",
            "frozenset({'mineral water'}) -> frozenset({'escalope'}) confidence:  0.07158836689038031\n",
            "frozenset({'escalope'}) -> frozenset({'mineral water'}) confidence:  0.21512605042016805\n",
            "frozenset({'spaghetti'}) -> frozenset({'escalope'}) confidence:  0.08039816232771822\n",
            "frozenset({'escalope'}) -> frozenset({'spaghetti'}) confidence:  0.17647058823529413\n",
            "frozenset({'ground beef'}) -> frozenset({'mineral water'}) confidence:  0.41655359565807326\n",
            "frozenset({'mineral water'}) -> frozenset({'ground beef'}) confidence:  0.17170022371364654\n",
            "frozenset({'ground beef'}) -> frozenset({'milk'}) confidence:  0.22388059701492538\n",
            "frozenset({'milk'}) -> frozenset({'ground beef'}) confidence:  0.1697530864197531\n",
            "frozenset({'ground beef'}) -> frozenset({'spaghetti'}) confidence:  0.3989145183175034\n",
            "frozenset({'spaghetti'}) -> frozenset({'ground beef'}) confidence:  0.22511485451761104\n",
            "frozenset({'soup'}) -> frozenset({'milk'}) confidence:  0.3007915567282322\n",
            "frozenset({'milk'}) -> frozenset({'soup'}) confidence:  0.11728395061728396\n",
            "frozenset({'spaghetti'}) -> frozenset({'milk'}) confidence:  0.20367534456355285\n",
            "frozenset({'milk'}) -> frozenset({'spaghetti'}) confidence:  0.27366255144032925\n",
            "frozenset({'spaghetti'}) -> frozenset({'soup'}) confidence:  0.08192955589586524\n",
            "frozenset({'soup'}) -> frozenset({'spaghetti'}) confidence:  0.2823218997361478\n",
            "frozenset({'pancakes'}) -> frozenset({'green tea'}) confidence:  0.17251051893408134\n",
            "frozenset({'green tea'}) -> frozenset({'pancakes'}) confidence:  0.124117053481332\n",
            "frozenset({'mineral water'}) -> frozenset({'pancakes'}) confidence:  0.14149888143176736\n",
            "frozenset({'pancakes'}) -> frozenset({'mineral water'}) confidence:  0.3548387096774194\n",
            "frozenset({'pancakes'}) -> frozenset({'spaghetti'}) confidence:  0.2650771388499299\n",
            "frozenset({'spaghetti'}) -> frozenset({'pancakes'}) confidence:  0.1447166921898928\n",
            "frozenset({'shrimp'}) -> frozenset({'eggs'}) confidence:  0.19776119402985073\n",
            "frozenset({'eggs'}) -> frozenset({'shrimp'}) confidence:  0.07863501483679525\n",
            "frozenset({'chocolate'}) -> frozenset({'eggs'}) confidence:  0.20260374288039054\n",
            "frozenset({'eggs'}) -> frozenset({'chocolate'}) confidence:  0.1847181008902077\n",
            "frozenset({'milk'}) -> frozenset({'french fries'}) confidence:  0.18312757201646093\n",
            "frozenset({'french fries'}) -> frozenset({'milk'}) confidence:  0.1388455538221529\n",
            "frozenset({'mineral water'}) -> frozenset({'spaghetti'}) confidence:  0.2505592841163311\n",
            "frozenset({'spaghetti'}) -> frozenset({'mineral water'}) confidence:  0.3430321592649311\n",
            "frozenset({'spaghetti'}) -> frozenset({'salmon'}) confidence:  0.0773353751914242\n",
            "frozenset({'salmon'}) -> frozenset({'spaghetti'}) confidence:  0.3166144200626959\n",
            "frozenset({'spaghetti'}) -> frozenset({'eggs'}) confidence:  0.20980091883614088\n",
            "frozenset({'eggs'}) -> frozenset({'spaghetti'}) confidence:  0.2032640949554896\n",
            "frozenset({'spaghetti'}) -> frozenset({'turkey'}) confidence:  0.09494640122511486\n",
            "frozenset({'turkey'}) -> frozenset({'spaghetti'}) confidence:  0.26439232409381663\n",
            "frozenset({'mineral water'}) -> frozenset({'chicken'}) confidence:  0.09563758389261746\n",
            "frozenset({'chicken'}) -> frozenset({'mineral water'}) confidence:  0.38000000000000006\n",
            "frozenset({'chicken'}) -> frozenset({'eggs'}) confidence:  0.24\n",
            "frozenset({'eggs'}) -> frozenset({'chicken'}) confidence:  0.0801186943620178\n",
            "frozenset({'spaghetti'}) -> frozenset({'chicken'}) confidence:  0.09877488514548238\n",
            "frozenset({'chicken'}) -> frozenset({'spaghetti'}) confidence:  0.2866666666666667\n",
            "frozenset({'mineral water'}) -> frozenset({'tomatoes'}) confidence:  0.10234899328859061\n",
            "frozenset({'tomatoes'}) -> frozenset({'mineral water'}) confidence:  0.3567251461988304\n",
            "frozenset({'tomatoes'}) -> frozenset({'eggs'}) confidence:  0.1793372319688109\n",
            "frozenset({'eggs'}) -> frozenset({'tomatoes'}) confidence:  0.06824925816023739\n",
            "frozenset({'spaghetti'}) -> frozenset({'tomatoes'}) confidence:  0.12021439509954057\n",
            "frozenset({'tomatoes'}) -> frozenset({'spaghetti'}) confidence:  0.3060428849902534\n",
            "frozenset({'low fat yogurt'}) -> frozenset({'chocolate'}) confidence:  0.19337979094076657\n",
            "frozenset({'chocolate'}) -> frozenset({'low fat yogurt'}) confidence:  0.09031733116354759\n",
            "frozenset({'shrimp'}) -> frozenset({'chocolate'}) confidence:  0.251865671641791\n",
            "frozenset({'chocolate'}) -> frozenset({'shrimp'}) confidence:  0.1098454027664768\n",
            "frozenset({'cooking oil'}) -> frozenset({'chocolate'}) confidence:  0.26631853785900783\n",
            "frozenset({'chocolate'}) -> frozenset({'cooking oil'}) confidence:  0.08299430431244914\n",
            "frozenset({'chicken'}) -> frozenset({'chocolate'}) confidence:  0.24444444444444446\n",
            "frozenset({'chocolate'}) -> frozenset({'chicken'}) confidence:  0.08950366151342555\n",
            "frozenset({'burgers'}) -> frozenset({'mineral water'}) confidence:  0.2798165137614679\n",
            "frozenset({'mineral water'}) -> frozenset({'burgers'}) confidence:  0.10234899328859061\n",
            "frozenset({'mineral water'}) -> frozenset({'eggs'}) confidence:  0.21364653243847875\n",
            "frozenset({'eggs'}) -> frozenset({'mineral water'}) confidence:  0.28338278931750743\n",
            "frozenset({'mineral water'}) -> frozenset({'turkey'}) confidence:  0.08053691275167785\n",
            "frozenset({'turkey'}) -> frozenset({'mineral water'}) confidence:  0.3070362473347548\n",
            "frozenset({'burgers'}) -> frozenset({'turkey'}) confidence:  0.12232415902140673\n",
            "frozenset({'turkey'}) -> frozenset({'burgers'}) confidence:  0.1705756929637527\n",
            "frozenset({'turkey'}) -> frozenset({'eggs'}) confidence:  0.31130063965884863\n",
            "frozenset({'eggs'}) -> frozenset({'turkey'}) confidence:  0.10830860534124628\n",
            "frozenset({'mineral water'}) -> frozenset({'cooking oil'}) confidence:  0.08445190156599552\n",
            "frozenset({'cooking oil'}) -> frozenset({'mineral water'}) confidence:  0.3942558746736292\n",
            "frozenset({'cooking oil'}) -> frozenset({'eggs'}) confidence:  0.2297650130548303\n",
            "frozenset({'eggs'}) -> frozenset({'cooking oil'}) confidence:  0.06528189910979229\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'green tea'}) confidence:  0.15104895104895105\n",
            "frozenset({'green tea'}) -> frozenset({'frozen vegetables'}) confidence:  0.10898082744702321\n",
            "frozenset({'spaghetti'}) -> frozenset({'green tea'}) confidence:  0.15237366003062788\n",
            "frozenset({'green tea'}) -> frozenset({'spaghetti'}) confidence:  0.2008072653884965\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'spaghetti'}) confidence:  0.29230769230769227\n",
            "frozenset({'spaghetti'}) -> frozenset({'frozen vegetables'}) confidence:  0.16003062787136293\n",
            "frozenset({'milk'}) -> frozenset({'green tea'}) confidence:  0.1358024691358025\n",
            "frozenset({'green tea'}) -> frozenset({'milk'}) confidence:  0.13319878910191726\n",
            "frozenset({'mineral water'}) -> frozenset({'milk'}) confidence:  0.20134228187919462\n",
            "frozenset({'milk'}) -> frozenset({'mineral water'}) confidence:  0.3703703703703704\n",
            "frozenset({'mineral water'}) -> frozenset({'whole wheat rice'}) confidence:  0.08445190156599552\n",
            "frozenset({'whole wheat rice'}) -> frozenset({'mineral water'}) confidence:  0.3439635535307517\n",
            "frozenset({'milk'}) -> frozenset({'whole wheat rice'}) confidence:  0.09156378600823047\n",
            "frozenset({'whole wheat rice'}) -> frozenset({'milk'}) confidence:  0.2027334851936219\n",
            "frozenset({'burgers'}) -> frozenset({'eggs'}) confidence:  0.33027522935779813\n",
            "frozenset({'eggs'}) -> frozenset({'burgers'}) confidence:  0.1602373887240356\n",
            "frozenset({'frozen smoothie'}) -> frozenset({'green tea'}) confidence:  0.1768421052631579\n",
            "frozenset({'green tea'}) -> frozenset({'frozen smoothie'}) confidence:  0.08476286579212917\n",
            "frozenset({'mineral water'}) -> frozenset({'avocado'}) confidence:  0.04865771812080537\n",
            "frozenset({'avocado'}) -> frozenset({'mineral water'}) confidence:  0.348\n",
            "frozenset({'mineral water'}) -> frozenset({'frozen smoothie'}) confidence:  0.08501118568232663\n",
            "frozenset({'frozen smoothie'}) -> frozenset({'mineral water'}) confidence:  0.32\n",
            "frozenset({'mineral water'}) -> frozenset({'green tea'}) confidence:  0.1303131991051454\n",
            "frozenset({'green tea'}) -> frozenset({'mineral water'}) confidence:  0.23511604439959638\n",
            "frozenset({'mineral water'}) -> frozenset({'honey'}) confidence:  0.06319910514541387\n",
            "frozenset({'honey'}) -> frozenset({'mineral water'}) confidence:  0.31741573033707865\n",
            "frozenset({'mineral water'}) -> frozenset({'low fat yogurt'}) confidence:  0.10067114093959731\n",
            "frozenset({'low fat yogurt'}) -> frozenset({'mineral water'}) confidence:  0.313588850174216\n",
            "frozenset({'mineral water'}) -> frozenset({'olive oil'}) confidence:  0.11577181208053693\n",
            "frozenset({'olive oil'}) -> frozenset({'mineral water'}) confidence:  0.4190283400809717\n",
            "frozenset({'mineral water'}) -> frozenset({'salmon'}) confidence:  0.07158836689038031\n",
            "frozenset({'salmon'}) -> frozenset({'mineral water'}) confidence:  0.4012539184952978\n",
            "frozenset({'shrimp'}) -> frozenset({'green tea'}) confidence:  0.16044776119402984\n",
            "frozenset({'green tea'}) -> frozenset({'shrimp'}) confidence:  0.08678102926337034\n",
            "frozenset({'mineral water'}) -> frozenset({'shrimp'}) confidence:  0.09899328859060404\n",
            "frozenset({'shrimp'}) -> frozenset({'mineral water'}) confidence:  0.3302238805970149\n",
            "frozenset({'spaghetti', 'mineral water'}) -> frozenset({'french fries'}) confidence:  0.16964285714285715\n",
            "frozenset({'french fries', 'mineral water'}) -> frozenset({'spaghetti'}) confidence:  0.30039525691699603\n",
            "frozenset({'french fries', 'spaghetti'}) -> frozenset({'mineral water'}) confidence:  0.36714975845410625\n",
            "frozenset({'mineral water'}) -> frozenset({'french fries', 'spaghetti'}) confidence:  0.042505592841163314\n",
            "frozenset({'spaghetti'}) -> frozenset({'french fries', 'mineral water'}) confidence:  0.05819295558958652\n",
            "frozenset({'french fries'}) -> frozenset({'spaghetti', 'mineral water'}) confidence:  0.059282371294851796\n",
            "frozenset({'milk', 'mineral water'}) -> frozenset({'eggs'}) confidence:  0.27222222222222225\n",
            "frozenset({'eggs', 'mineral water'}) -> frozenset({'milk'}) confidence:  0.25654450261780104\n",
            "frozenset({'eggs', 'milk'}) -> frozenset({'mineral water'}) confidence:  0.42424242424242425\n",
            "frozenset({'mineral water'}) -> frozenset({'eggs', 'milk'}) confidence:  0.05480984340044743\n",
            "frozenset({'milk'}) -> frozenset({'eggs', 'mineral water'}) confidence:  0.10082304526748971\n",
            "frozenset({'eggs'}) -> frozenset({'milk', 'mineral water'}) confidence:  0.07270029673590504\n",
            "frozenset({'ground beef', 'mineral water'}) -> frozenset({'eggs'}) confidence:  0.247557003257329\n",
            "frozenset({'eggs', 'ground beef'}) -> frozenset({'mineral water'}) confidence:  0.5066666666666667\n",
            "frozenset({'eggs', 'mineral water'}) -> frozenset({'ground beef'}) confidence:  0.19895287958115182\n",
            "frozenset({'ground beef'}) -> frozenset({'eggs', 'mineral water'}) confidence:  0.10312075983717775\n",
            "frozenset({'mineral water'}) -> frozenset({'eggs', 'ground beef'}) confidence:  0.042505592841163314\n",
            "frozenset({'eggs'}) -> frozenset({'ground beef', 'mineral water'}) confidence:  0.05637982195845697\n",
            "frozenset({'chocolate', 'spaghetti'}) -> frozenset({'eggs'}) confidence:  0.26870748299319724\n",
            "frozenset({'eggs', 'spaghetti'}) -> frozenset({'chocolate'}) confidence:  0.28832116788321166\n",
            "frozenset({'eggs', 'chocolate'}) -> frozenset({'spaghetti'}) confidence:  0.3172690763052209\n",
            "frozenset({'spaghetti'}) -> frozenset({'eggs', 'chocolate'}) confidence:  0.06049004594180704\n",
            "frozenset({'chocolate'}) -> frozenset({'eggs', 'spaghetti'}) confidence:  0.06427990235964198\n",
            "frozenset({'eggs'}) -> frozenset({'chocolate', 'spaghetti'}) confidence:  0.0586053412462908\n",
            "frozenset({'spaghetti', 'mineral water'}) -> frozenset({'olive oil'}) confidence:  0.171875\n",
            "frozenset({'olive oil', 'mineral water'}) -> frozenset({'spaghetti'}) confidence:  0.3719806763285024\n",
            "frozenset({'olive oil', 'spaghetti'}) -> frozenset({'mineral water'}) confidence:  0.4476744186046512\n",
            "frozenset({'mineral water'}) -> frozenset({'olive oil', 'spaghetti'}) confidence:  0.04306487695749441\n",
            "frozenset({'spaghetti'}) -> frozenset({'olive oil', 'mineral water'}) confidence:  0.058958652373660034\n",
            "frozenset({'olive oil'}) -> frozenset({'spaghetti', 'mineral water'}) confidence:  0.15587044534412955\n",
            "frozenset({'spaghetti', 'mineral water'}) -> frozenset({'chocolate'}) confidence:  0.265625\n",
            "frozenset({'chocolate', 'mineral water'}) -> frozenset({'spaghetti'}) confidence:  0.3012658227848101\n",
            "frozenset({'chocolate', 'spaghetti'}) -> frozenset({'mineral water'}) confidence:  0.40476190476190477\n",
            "frozenset({'mineral water'}) -> frozenset({'chocolate', 'spaghetti'}) confidence:  0.06655480984340045\n",
            "frozenset({'spaghetti'}) -> frozenset({'chocolate', 'mineral water'}) confidence:  0.09111791730474733\n",
            "frozenset({'chocolate'}) -> frozenset({'spaghetti', 'mineral water'}) confidence:  0.096826688364524\n",
            "frozenset({'chocolate', 'ground beef'}) -> frozenset({'mineral water'}) confidence:  0.47398843930635837\n",
            "frozenset({'ground beef', 'mineral water'}) -> frozenset({'chocolate'}) confidence:  0.267100977198697\n",
            "frozenset({'chocolate', 'mineral water'}) -> frozenset({'ground beef'}) confidence:  0.20759493670886073\n",
            "frozenset({'ground beef'}) -> frozenset({'chocolate', 'mineral water'}) confidence:  0.1112618724559023\n",
            "frozenset({'chocolate'}) -> frozenset({'ground beef', 'mineral water'}) confidence:  0.06672091131000812\n",
            "frozenset({'mineral water'}) -> frozenset({'chocolate', 'ground beef'}) confidence:  0.04586129753914989\n",
            "frozenset({'milk', 'mineral water'}) -> frozenset({'chocolate'}) confidence:  0.2916666666666667\n",
            "frozenset({'chocolate', 'mineral water'}) -> frozenset({'milk'}) confidence:  0.26582278481012656\n",
            "frozenset({'chocolate', 'milk'}) -> frozenset({'mineral water'}) confidence:  0.43568464730290457\n",
            "frozenset({'mineral water'}) -> frozenset({'chocolate', 'milk'}) confidence:  0.0587248322147651\n",
            "frozenset({'milk'}) -> frozenset({'chocolate', 'mineral water'}) confidence:  0.1080246913580247\n",
            "frozenset({'chocolate'}) -> frozenset({'milk', 'mineral water'}) confidence:  0.0854353132628153\n",
            "frozenset({'milk', 'spaghetti'}) -> frozenset({'chocolate'}) confidence:  0.3082706766917293\n",
            "frozenset({'chocolate', 'spaghetti'}) -> frozenset({'milk'}) confidence:  0.2789115646258503\n",
            "frozenset({'chocolate', 'milk'}) -> frozenset({'spaghetti'}) confidence:  0.34024896265560167\n",
            "frozenset({'spaghetti'}) -> frozenset({'chocolate', 'milk'}) confidence:  0.06278713629402756\n",
            "frozenset({'milk'}) -> frozenset({'chocolate', 'spaghetti'}) confidence:  0.08436213991769548\n",
            "frozenset({'chocolate'}) -> frozenset({'milk', 'spaghetti'}) confidence:  0.06672091131000812\n",
            "frozenset({'mineral water', 'frozen vegetables'}) -> frozenset({'milk'}) confidence:  0.3097014925373134\n",
            "frozenset({'milk', 'frozen vegetables'}) -> frozenset({'mineral water'}) confidence:  0.46892655367231634\n",
            "frozenset({'milk', 'mineral water'}) -> frozenset({'frozen vegetables'}) confidence:  0.23055555555555557\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'milk', 'mineral water'}) confidence:  0.11608391608391608\n",
            "frozenset({'mineral water'}) -> frozenset({'milk', 'frozen vegetables'}) confidence:  0.046420581655480984\n",
            "frozenset({'milk'}) -> frozenset({'mineral water', 'frozen vegetables'}) confidence:  0.08539094650205761\n",
            "frozenset({'mineral water', 'frozen vegetables'}) -> frozenset({'spaghetti'}) confidence:  0.33582089552238803\n",
            "frozenset({'spaghetti', 'frozen vegetables'}) -> frozenset({'mineral water'}) confidence:  0.43062200956937796\n",
            "frozenset({'spaghetti', 'mineral water'}) -> frozenset({'frozen vegetables'}) confidence:  0.20089285714285715\n",
            "frozenset({'frozen vegetables'}) -> frozenset({'spaghetti', 'mineral water'}) confidence:  0.12587412587412586\n",
            "frozenset({'mineral water'}) -> frozenset({'spaghetti', 'frozen vegetables'}) confidence:  0.050335570469798654\n",
            "frozenset({'spaghetti'}) -> frozenset({'mineral water', 'frozen vegetables'}) confidence:  0.06891271056661562\n",
            "frozenset({'chocolate', 'mineral water'}) -> frozenset({'eggs'}) confidence:  0.25569620253164554\n",
            "frozenset({'eggs', 'mineral water'}) -> frozenset({'chocolate'}) confidence:  0.2643979057591623\n",
            "frozenset({'eggs', 'chocolate'}) -> frozenset({'mineral water'}) confidence:  0.40562248995983935\n",
            "frozenset({'mineral water'}) -> frozenset({'eggs', 'chocolate'}) confidence:  0.056487695749440715\n",
            "frozenset({'chocolate'}) -> frozenset({'eggs', 'mineral water'}) confidence:  0.08218063466232708\n",
            "frozenset({'eggs'}) -> frozenset({'chocolate', 'mineral water'}) confidence:  0.07492581602373886\n",
            "frozenset({'spaghetti', 'mineral water'}) -> frozenset({'milk'}) confidence:  0.26339285714285715\n",
            "frozenset({'milk', 'mineral water'}) -> frozenset({'spaghetti'}) confidence:  0.3277777777777778\n",
            "frozenset({'milk', 'spaghetti'}) -> frozenset({'mineral water'}) confidence:  0.44360902255639095\n",
            "frozenset({'mineral water'}) -> frozenset({'milk', 'spaghetti'}) confidence:  0.06599552572706936\n",
            "frozenset({'spaghetti'}) -> frozenset({'milk', 'mineral water'}) confidence:  0.09035222052067382\n",
            "frozenset({'milk'}) -> frozenset({'spaghetti', 'mineral water'}) confidence:  0.12139917695473253\n",
            "frozenset({'spaghetti', 'ground beef'}) -> frozenset({'mineral water'}) confidence:  0.4353741496598639\n",
            "frozenset({'ground beef', 'mineral water'}) -> frozenset({'spaghetti'}) confidence:  0.41693811074918563\n",
            "frozenset({'spaghetti', 'mineral water'}) -> frozenset({'ground beef'}) confidence:  0.2857142857142857\n",
            "frozenset({'ground beef'}) -> frozenset({'spaghetti', 'mineral water'}) confidence:  0.17367706919945725\n",
            "frozenset({'spaghetti'}) -> frozenset({'ground beef', 'mineral water'}) confidence:  0.09800918836140887\n",
            "frozenset({'mineral water'}) -> frozenset({'spaghetti', 'ground beef'}) confidence:  0.07158836689038031\n",
            "frozenset({'milk', 'ground beef'}) -> frozenset({'mineral water'}) confidence:  0.503030303030303\n",
            "frozenset({'ground beef', 'mineral water'}) -> frozenset({'milk'}) confidence:  0.2703583061889251\n",
            "frozenset({'milk', 'mineral water'}) -> frozenset({'ground beef'}) confidence:  0.23055555555555557\n",
            "frozenset({'ground beef'}) -> frozenset({'milk', 'mineral water'}) confidence:  0.11261872455902307\n",
            "frozenset({'milk'}) -> frozenset({'ground beef', 'mineral water'}) confidence:  0.08539094650205761\n",
            "frozenset({'mineral water'}) -> frozenset({'milk', 'ground beef'}) confidence:  0.046420581655480984\n",
            "frozenset({'pancakes', 'mineral water'}) -> frozenset({'spaghetti'}) confidence:  0.33992094861660077\n",
            "frozenset({'spaghetti', 'mineral water'}) -> frozenset({'pancakes'}) confidence:  0.1919642857142857\n",
            "frozenset({'pancakes', 'spaghetti'}) -> frozenset({'mineral water'}) confidence:  0.455026455026455\n",
            "frozenset({'mineral water'}) -> frozenset({'pancakes', 'spaghetti'}) confidence:  0.04809843400447427\n",
            "frozenset({'pancakes'}) -> frozenset({'spaghetti', 'mineral water'}) confidence:  0.12061711079943899\n",
            "frozenset({'spaghetti'}) -> frozenset({'pancakes', 'mineral water'}) confidence:  0.06584992343032159\n",
            "frozenset({'spaghetti', 'mineral water'}) -> frozenset({'eggs'}) confidence:  0.23883928571428573\n",
            "frozenset({'eggs', 'mineral water'}) -> frozenset({'spaghetti'}) confidence:  0.2801047120418848\n",
            "frozenset({'eggs', 'spaghetti'}) -> frozenset({'mineral water'}) confidence:  0.3905109489051095\n",
            "frozenset({'mineral water'}) -> frozenset({'eggs', 'spaghetti'}) confidence:  0.059843400447427295\n",
            "frozenset({'spaghetti'}) -> frozenset({'eggs', 'mineral water'}) confidence:  0.08192955589586524\n",
            "frozenset({'eggs'}) -> frozenset({'spaghetti', 'mineral water'}) confidence:  0.07937685459940653\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ndxLD0TlUB5d"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}