06. Recommendation Systems/Project 6 - Recommendation_System.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Project Description:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A project from E-commerce domain."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Context:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Everyday a million products are being recommended to users based on popularity and other metrics on e-commerce websites. The most popular e-commerce website boosts average order value by 50%, increases revenues by 300% and improves conversion. In addition to being a powerful tool for increasing revenues, product recommendations are so essential that customers now expect to see similar features on all other eCommerce sites."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data Description:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Data columns- First three columns are **userId**, **productId**, and **ratings** and the fourth column is **timestamp**. \n",
    "\n",
    "Source - Amazon Reviews data (http://jmcauley.ucsd.edu/data/amazon/). The repository has several datasets. For this case study, we are using the Electronics dataset."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Objective:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To make a recommendation system that recommends at least five(5) new products based on the user's habits."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import necessary libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "import json\n",
    "import time\n",
    "import collections\n",
    "import joblib\n",
    "\n",
    "from scipy.sparse.linalg import svds\n",
    "\n",
    "from surprise import Dataset, Reader\n",
    "from surprise import SVD, NormalPredictor, BaselineOnly, SVDpp, NMF\n",
    "\n",
    "from surprise import accuracy\n",
    "from surprise.model_selection import cross_validate\n",
    "from surprise.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "ratings_data = pd.read_csv('ratings_Electronics.csv')\n",
    "ratings_data.columns = ['UserId', 'ProductId', 'Ratings', 'Timestamp']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### First five entries of the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>UserId</th>\n",
       "      <th>ProductId</th>\n",
       "      <th>Ratings</th>\n",
       "      <th>Timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>A2CX7LUOHB2NDG</td>\n",
       "      <td>0321732944</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1341100800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>A2NWSAGRHCP8N5</td>\n",
       "      <td>0439886341</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1367193600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>A2WNBOD3WNDNKT</td>\n",
       "      <td>0439886341</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1374451200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>A1GI0U4ZRJA8WN</td>\n",
       "      <td>0439886341</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1334707200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>A1QGNMC6O1VW39</td>\n",
       "      <td>0511189877</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1397433600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           UserId   ProductId  Ratings   Timestamp\n",
       "0  A2CX7LUOHB2NDG  0321732944      5.0  1341100800\n",
       "1  A2NWSAGRHCP8N5  0439886341      1.0  1367193600\n",
       "2  A2WNBOD3WNDNKT  0439886341      3.0  1374451200\n",
       "3  A1GI0U4ZRJA8WN  0439886341      1.0  1334707200\n",
       "4  A1QGNMC6O1VW39  0511189877      5.0  1397433600"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It shows that there are four variables in the dataset - **UserId**, **ProductId**, **Ratings** and **Timestamp**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploratory Data Quality Report"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7824481, 4)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The two-dimensional dataframe i.e., ratings_data consists of 7824481 rows and 4 columns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Dataframe of each attribute"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 7824481 entries, 0 to 7824480\n",
      "Data columns (total 4 columns):\n",
      " #   Column     Dtype  \n",
      "---  ------     -----  \n",
      " 0   UserId     object \n",
      " 1   ProductId  object \n",
      " 2   Ratings    float64\n",
      " 3   Timestamp  int64  \n",
      "dtypes: float64(1), int64(1), object(2)\n",
      "memory usage: 238.8+ MB\n"
     ]
    }
   ],
   "source": [
    "ratings_data.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The attributes **UserId** and **ProductId** are qualitative in nature whereas **Ratings** and **Timestamp** are quantitative in nature."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Missing values in the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "UserId       0\n",
       "ProductId    0\n",
       "Ratings      0\n",
       "Timestamp    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_data.isnull().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Thus, we can see that none of the attributes have any null values in them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>UserId</th>\n",
       "      <th>ProductId</th>\n",
       "      <th>Ratings</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>A2CX7LUOHB2NDG</td>\n",
       "      <td>0321732944</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>A2NWSAGRHCP8N5</td>\n",
       "      <td>0439886341</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>A2WNBOD3WNDNKT</td>\n",
       "      <td>0439886341</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>A1GI0U4ZRJA8WN</td>\n",
       "      <td>0439886341</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>A1QGNMC6O1VW39</td>\n",
       "      <td>0511189877</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           UserId   ProductId  Ratings\n",
       "0  A2CX7LUOHB2NDG  0321732944      5.0\n",
       "1  A2NWSAGRHCP8N5  0439886341      1.0\n",
       "2  A2WNBOD3WNDNKT  0439886341      3.0\n",
       "3  A1GI0U4ZRJA8WN  0439886341      1.0\n",
       "4  A1QGNMC6O1VW39  0511189877      5.0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_data = ratings_data.drop('Timestamp', axis = 1)\n",
    "ratings_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have dropped **Timestamp** from the dataset as we believe that here it won't affect the recommendation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5 point summary of the numerical attributes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Ratings</th>\n",
       "      <td>7824481.0</td>\n",
       "      <td>4.012337</td>\n",
       "      <td>1.38091</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             count      mean      std  min  25%  50%  75%  max\n",
       "Ratings  7824481.0  4.012337  1.38091  1.0  3.0  5.0  5.0  5.0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_data.describe().T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- It gives the descriptive statistics (mean, mode, median, percentiles, min, max and standard deviation) and count of **Ratings**.\n",
    "- The minimum ratings that a user has given to a product is 1 whereas the maximum is 5. The average value of ratings for 7824481 entries is 4.012337 where 25% of the entries have a value below 3.0 and 50% have value below 5.0 and 75% have value below 5.0. The observations differ from the mean by 1.38091"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Description of independent attributes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### UserId"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The number of unique USERS in the dataset is = 4201696\n"
     ]
    }
   ],
   "source": [
    "print(\"The number of unique USERS in the dataset is =\", ratings_data['UserId'].nunique())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The top 10 users who have rated the most products are = \n",
      " UserId\n",
      "A5JLAU2ARJ0BO     520\n",
      "ADLVFFE4VBT8      501\n",
      "A3OXHLG6DIBRW8    498\n",
      "A6FIAB28IS79      431\n",
      "A680RUE1FDO8B     406\n",
      "A1ODOGXEYECQQ8    380\n",
      "A36K2N527TXXJN    314\n",
      "A2AY4YUOX2N1BQ    311\n",
      "AWPODHOB4GFWL     308\n",
      "A25C2M3QF9G7OQ    296\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print(\"The top 10 users who have rated the most products are = \\n\", ratings_data.groupby('UserId').size().sort_values(ascending = False)[:10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The top 10 users who have rated the least products are = \n",
      " UserId\n",
      "A00000262KYZUE4J55XGL    1\n",
      "A3AAXWHVCN6VOG           1\n",
      "A3AAXX0N47FFP            1\n",
      "A3AAXY0TMZS72Y           1\n",
      "A3AAXZAK8EB9KG           1\n",
      "A3AAY0GAXS0XNA           1\n",
      "A3AAY3OP8Z7FTA           1\n",
      "A3AAY5WI5T8HN5           1\n",
      "A3AAYE1Y83YT2P           1\n",
      "A3AAYH5F5Z1VIG           1\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print(\"The top 10 users who have rated the least products are = \\n\", ratings_data.groupby('UserId').size().sort_values(ascending = True)[:10])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the above two statements it is clear that:\n",
    "- There isn't any user who haven't rated any of the listed products\n",
    "- The highest number of product rated by a user is 520 whereas the least number of product rated by any user is 1\n",
    "- The most number of products has been rated by **A5JLAU2ARJ0BO** who has rated 520 products followed by **ADLVFFE4VBT8** and **A3OXHLG6DIBRW8** who has rated 501 and 498 products respectively."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### ProductId"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The number of unique PRODUCTS in the dataset is =  476001\n"
     ]
    }
   ],
   "source": [
    "print(\"The number of unique PRODUCTS in the dataset is = \", ratings_data['ProductId'].nunique())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The top 10 most rated products are = \n",
      " ProductId\n",
      "B0074BW614    18244\n",
      "B00DR0PDNE    16454\n",
      "B007WTAJTO    14172\n",
      "B0019EHU8G    12285\n",
      "B006GWO5WK    12226\n",
      "B003ELYQGG    11617\n",
      "B003ES5ZUU    10276\n",
      "B007R5YDYA     9907\n",
      "B00622AG6S     9823\n",
      "B0002L5R78     9487\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print('The top 10 most rated products are = \\n', ratings_data.groupby('ProductId').size().sort_values(ascending = False)[:10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The top 10 least rated products are = \n",
      " ProductId\n",
      "0321732944    1\n",
      "B0058FM05U    1\n",
      "B0058FM0M8    1\n",
      "B0058FM320    1\n",
      "B0058FM5IM    1\n",
      "B0058FOLWU    1\n",
      "B0058FS2DO    1\n",
      "B0058FTDQE    1\n",
      "B0058FU57U    1\n",
      "B0058FUM3C    1\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print('The top 10 least rated products are = \\n', ratings_data.groupby('ProductId').size().sort_values(ascending = True)[:10])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the above two statements it is clear that:\n",
    "- There isn't any products which haven't been rated by any of the users\n",
    "- The highest number of ratings received by a product is 18244 whereas the least number of ratings received by any products is 1\n",
    "- The most number of ratings has been received by the product **B0074BW614**. It has has received 18244 ratings followed by **B00DR0PDNE** and **B007WTAJTO** which has received 16454 and 14172 ratings respectively."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Ratings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We already know that the products has been rated on a scale of 1.0 to 5.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The skewness in Ratings is given by =  -1.2053970002793784\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(ratings_data['Ratings'], kde = True)\n",
    "print('The skewness in Ratings is given by = ', ratings_data['Ratings'].skew())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The observations in **Ratings** are left skewed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check the distribution of 'Ratings':\n",
    "with sns.axes_style('white'):\n",
    "    g = sns.factorplot(\"Ratings\", data = ratings_data, aspect = 2.0, kind = 'count')\n",
    "    g.set_ylabels(\"Total number of Ratings\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The distribution of the ratings is as follows = \n",
      " Ratings\n",
      "5.0    4347540\n",
      "4.0    1485781\n",
      "1.0     901765\n",
      "3.0     633073\n",
      "2.0     456322\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print('The distribution of the ratings is as follows = \\n', ratings_data.groupby('Ratings').size().sort_values(ascending = False))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is clear from the above plot that 4347540 products has been rated 5.0, 1485781 products has been rated 4.0, 901765 products has been rated 1.0, 633073 products has been rated 3.0 and 456322 products has been rated 2.0."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data Model Preparation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use a subset of the dataset to make it less sparse. For ease of operations we will consider only those users who have atleast rated 50 products."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "counts1 = pd.value_counts(ratings_data['UserId'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "ratings_data = ratings_data[ratings_data['UserId'].isin(counts1[counts1 >= 50].index)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>UserId</th>\n",
       "      <th>ProductId</th>\n",
       "      <th>Ratings</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>A3BY5KCNQZXV5U</td>\n",
       "      <td>0594451647</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>117</th>\n",
       "      <td>AT09WGFUM934H</td>\n",
       "      <td>0594481813</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>176</th>\n",
       "      <td>A32HSNCNPRUMTR</td>\n",
       "      <td>0970407998</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>177</th>\n",
       "      <td>A17HMM1M7T9PJ1</td>\n",
       "      <td>0970407998</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>491</th>\n",
       "      <td>A3CLWR1UUZT6TG</td>\n",
       "      <td>0972683275</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             UserId   ProductId  Ratings\n",
       "93   A3BY5KCNQZXV5U  0594451647      5.0\n",
       "117   AT09WGFUM934H  0594481813      3.0\n",
       "176  A32HSNCNPRUMTR  0970407998      1.0\n",
       "177  A17HMM1M7T9PJ1  0970407998      4.0\n",
       "491  A3CLWR1UUZT6TG  0972683275      5.0"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(125871, 3)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The new dataset (after selecting users who have rated atleast 50 products) contains 125871 rows and 3 columns. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The number of unique USERS in the dataset is = 1540\n"
     ]
    }
   ],
   "source": [
    "print(\"The number of unique USERS in the dataset is =\", ratings_data['UserId'].nunique())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The top 10 users who have rated the most products are = \n",
      " UserId\n",
      "A5JLAU2ARJ0BO     520\n",
      "ADLVFFE4VBT8      501\n",
      "A3OXHLG6DIBRW8    498\n",
      "A6FIAB28IS79      431\n",
      "A680RUE1FDO8B     406\n",
      "A1ODOGXEYECQQ8    380\n",
      "A36K2N527TXXJN    314\n",
      "A2AY4YUOX2N1BQ    311\n",
      "AWPODHOB4GFWL     308\n",
      "A25C2M3QF9G7OQ    296\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print(\"The top 10 users who have rated the most products are = \\n\", ratings_data.groupby('UserId').size().sort_values(ascending = False)[:10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The top 10 users who have rated the least products are = \n",
      " UserId\n",
      "A2RS66Y79Q8X0W    50\n",
      "A2Y4H3PXB07WQI    50\n",
      "A3VZH0PWLQ9BB1    50\n",
      "A19N3S7CBSU6O7    50\n",
      "A1IU4UAV9QIJAI    50\n",
      "A319Y83RT0MRVR    50\n",
      "A27H61OHW44XA7    50\n",
      "A2JRDFIGWTX50J    50\n",
      "A2RGA7UGAN3UL7    50\n",
      "ACH055GTTIGC9     50\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print(\"The top 10 users who have rated the least products are = \\n\", ratings_data.groupby('UserId').size().sort_values(ascending = True)[:10])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the new dataset it is clear that:\n",
    "- The highest number of product rated by any user is still 520 whereas the least number of product rated by any user is 50 (which was our aim)\n",
    "- The most number of products has been rated by **A5JLAU2ARJ0BO** who has rated 520 products followed by **ADLVFFE4VBT8** and **A3OXHLG6DIBRW8** who has rated 501 and 498 products respectively\n",
    "- There are atleast ten users who have rated 50 products."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The number of unique PRODUCTS in the dataset is =  48190\n"
     ]
    }
   ],
   "source": [
    "print(\"The number of unique PRODUCTS in the dataset is = \", ratings_data['ProductId'].nunique())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The top 10 products which have been rated the most are = \n",
      " ProductId\n",
      "B0088CJT4U    206\n",
      "B003ES5ZUU    184\n",
      "B000N99BBC    167\n",
      "B007WTAJTO    164\n",
      "B00829TIEK    149\n",
      "B008DWCRQW    137\n",
      "B00829THK0    137\n",
      "B002R5AM7C    128\n",
      "B004CLYEDC    118\n",
      "B002SZEOLG    113\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print(\"The top 10 products which have been rated the most are = \\n\", ratings_data.groupby('ProductId').size().sort_values(ascending = False)[:10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The top 10 products which have been rated least are = \n",
      " ProductId\n",
      "0594451647    1\n",
      "B004AAPKTW    1\n",
      "B004AAZXQM    1\n",
      "B004AB02IA    1\n",
      "B004AB1OS2    1\n",
      "B004AB35NY    1\n",
      "B004AB3GJM    1\n",
      "B004A9DHMK    1\n",
      "B004AB715W    1\n",
      "B004ABHKZ8    1\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print(\"The top 10 products which have been rated least are = \\n\", ratings_data.groupby('ProductId').size().sort_values(ascending = True)[:10])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the new dataset it is clear that:\n",
    "- The highest number of ratings received by a product is now 206 (which was earlier 18244) and the least number of ratings received by any products is still 1\n",
    "- The most number of ratings has been received by the product **B0088CJT4U**. It has has received 206 ratings followed by **B003ES5ZUU** and **B000N99BBC**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check the distribution of 'Ratings':\n",
    "with sns.axes_style('white'):\n",
    "    g = sns.factorplot(\"Ratings\", data = ratings_data, aspect = 2.0, kind = 'count')\n",
    "    g.set_ylabels(\"Total number of Ratings\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The distribution of the ratings is as follows = \n",
      " Ratings\n",
      "5.0    71034\n",
      "4.0    32295\n",
      "3.0    12060\n",
      "2.0     5367\n",
      "1.0     5115\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print('The distribution of the ratings is as follows = \\n', ratings_data.groupby('Ratings').size().sort_values(ascending = False))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Thus, in the new dataset products rated 5.0 are the most (71034) followed by 4.0 (32295), 3.0 (12060), 2.0 (5367) and 1.0 (5115)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Build Popularity Recommender Model (Non-Personalized)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ProductId</th>\n",
       "      <th>Score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0594451647</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0594481813</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0970407998</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0972683275</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1400501466</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    ProductId  Score\n",
       "0  0594451647      1\n",
       "1  0594481813      1\n",
       "2  0970407998      2\n",
       "3  0972683275      4\n",
       "4  1400501466      6"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Count of UserId for each unique ProductId as Recommendation Score\n",
    "ratings_data_grouped = ratings_data.groupby('ProductId').agg({'UserId': 'count'}).reset_index()\n",
    "ratings_data_grouped.rename(columns = {'UserId': 'Score'}, inplace = True)\n",
    "ratings_data_grouped.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ProductId</th>\n",
       "      <th>Score</th>\n",
       "      <th>Rank</th>\n",
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       "      <th>39003</th>\n",
       "      <td>B0088CJT4U</td>\n",
       "      <td>206</td>\n",
       "      <td>1.0</td>\n",
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       "    <tr>\n",
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       "      <td>B003ES5ZUU</td>\n",
       "      <td>184</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11078</th>\n",
       "      <td>B000N99BBC</td>\n",
       "      <td>167</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38250</th>\n",
       "      <td>B007WTAJTO</td>\n",
       "      <td>164</td>\n",
       "      <td>4.0</td>\n",
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       "    <tr>\n",
       "      <th>38615</th>\n",
       "      <td>B00829TIEK</td>\n",
       "      <td>149</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        ProductId  Score  Rank\n",
       "39003  B0088CJT4U    206   1.0\n",
       "24827  B003ES5ZUU    184   2.0\n",
       "11078  B000N99BBC    167   3.0\n",
       "38250  B007WTAJTO    164   4.0\n",
       "38615  B00829TIEK    149   5.0"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Sort the products on recommendation score\n",
    "ratings_data_sort = ratings_data_grouped.sort_values(['Score', 'ProductId'], ascending = [0,1])\n",
    "\n",
    "# Generate a recommendation rank based upon score\n",
    "ratings_data_sort['Rank'] = ratings_data_sort['Score'].rank(ascending = 0, method = 'first')\n",
    "\n",
    "# Get the top 5 recommendations\n",
    "popularity_recommendations = ratings_data_sort.head(5)\n",
    "popularity_recommendations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, for any User the top 5 products that will be recommended are: **B0088CJT4U**, **B003ES5ZUU**, **B000N99BBC**, **B007WTAJTO** and **B00829TIEK**.\n",
    "\n",
    "The top 5 recommendations for any user (based on Popularity Based Recommender System) will be the above mentioned ProductId as they have received the top 5 scores among the all the listed Products which will be verified when we will try to recommend products for a specific users."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Use Popularity Based Recommender model to make predictions and find recommendations for random list of users with inferences "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Use popularity based Recommender Model to make Predictions\n",
    "def recommend(UserId):\n",
    "    user_recommendations = popularity_recommendations\n",
    "    \n",
    "    #Add UserId column for which the recommendations are being generated\n",
    "    user_recommendations['UserId'] = UserId\n",
    "    \n",
    "    #Bring UserId column to the front\n",
    "    cols = user_recommendations.columns.tolist()\n",
    "    cols = cols[-1:] + cols[:-1]\n",
    "    user_recommendations = user_recommendations[cols]\n",
    "    \n",
    "    return user_recommendations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Here is the recommendation for the UserId: 15\n",
      "\n",
      "       UserId   ProductId  Score  Rank\n",
      "39003      15  B0088CJT4U    206   1.0\n",
      "24827      15  B003ES5ZUU    184   2.0\n",
      "11078      15  B000N99BBC    167   3.0\n",
      "38250      15  B007WTAJTO    164   4.0\n",
      "38615      15  B00829TIEK    149   5.0\n",
      "\n",
      "\n",
      "Here is the recommendation for the UserId: 121\n",
      "\n",
      "       UserId   ProductId  Score  Rank\n",
      "39003     121  B0088CJT4U    206   1.0\n",
      "24827     121  B003ES5ZUU    184   2.0\n",
      "11078     121  B000N99BBC    167   3.0\n",
      "38250     121  B007WTAJTO    164   4.0\n",
      "38615     121  B00829TIEK    149   5.0\n",
      "\n",
      "\n",
      "Here is the recommendation for the UserId: 53\n",
      "\n",
      "       UserId   ProductId  Score  Rank\n",
      "39003      53  B0088CJT4U    206   1.0\n",
      "24827      53  B003ES5ZUU    184   2.0\n",
      "11078      53  B000N99BBC    167   3.0\n",
      "38250      53  B007WTAJTO    164   4.0\n",
      "38615      53  B00829TIEK    149   5.0\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "find_recommendation = [15,121,53] #This list is user choice\n",
    "for i in find_recommendation:\n",
    "    print('Here is the recommendation for the UserId: %d\\n' %(i))\n",
    "    print(recommend(i))\n",
    "    print('\\n')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Thus, we can see that a Popularity Based Recommendation System always recommends the same set of the products to all the users i.e., it is a non-personalized recommendation system. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Building Collaborative Filtering Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this we will be using SVD to make necessary predictions. SVD will be used in two ways. In the first option we will be using SVD using mathematical operation (i.e., without using SVD from Surprise) and without splitting the dataset into trainset and testset.\n",
    "\n",
    "In the second method we will be using SVD (from Surprise, a Python scikit for building and analyzing recommender systems that deal with explicit rating data). In this we will be dividing our ratings_data dataset into training and testing dataset and thereafter we will try to predict recommendations on test set."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After that we will try to benchmark some of the algorithms from Surprise: NormalPredictor (a Basic Algorithm from Surprise which predicts a random rating assuming that the distribution of the dataset is Normal), BaselineOnly( a Basic algorithm from Surprise algorithm which predicts the baseline estimate for given user and item), and then two matrix factorization based algorithms - SVD and SVDpp (takes into account implicit ratings)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### SVD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of final_ratings_matrix: (1540, 48190)\n",
      "Density of the matrix is = 0.17%\n"
     ]
    }
   ],
   "source": [
    "# Actual Ratings matrix:\n",
    "final_ratings_matrix = ratings_data.pivot(index = 'UserId', columns = 'ProductId', values = 'Ratings').fillna(0)\n",
    "print('Shape of final_ratings_matrix:', final_ratings_matrix.shape)\n",
    "\n",
    "given_num_of_ratings = np.count_nonzero(final_ratings_matrix)\n",
    "possible_num_of_ratings = final_ratings_matrix.shape[0] * final_ratings_matrix.shape[1]\n",
    "\n",
    "density = (given_num_of_ratings/possible_num_of_ratings)\n",
    "density *= 100\n",
    "print('Density of the matrix is = {:4.2f}%'.format(density))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The density of the matrix is just 0.17%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
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       "ProductId       0594451647  0594481813  0970407998  0972683275  1400501466  \\\n",
       "UserId                                                                       \n",
       "A100UD67AHFODS         0.0         0.0         0.0         0.0         0.0   \n",
       "A100WO06OQR8BQ         0.0         0.0         0.0         0.0         0.0   \n",
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       "A10AFVU66A79Y1         0.0         0.0         0.0         0.0         0.0   \n",
       "\n",
       "ProductId       1400501520  1400501776  1400532620  1400532655  140053271X  \\\n",
       "UserId                                                                       \n",
       "A100UD67AHFODS         0.0         0.0         0.0         0.0         0.0   \n",
       "A100WO06OQR8BQ         0.0         0.0         0.0         0.0         0.0   \n",
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       "A10AFVU66A79Y1         0.0         0.0         0.0         0.0         0.0   \n",
       "\n",
       "ProductId       ...  B00L5YZCCG  B00L8I6SFY  B00L8QCVL6  B00LA6T0LS  \\\n",
       "UserId          ...                                                   \n",
       "A100UD67AHFODS  ...         0.0         0.0         0.0         0.0   \n",
       "A100WO06OQR8BQ  ...         0.0         0.0         0.0         0.0   \n",
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       "\n",
       "ProductId       B00LBZ1Z7K  B00LED02VY  B00LGN7Y3G  B00LGQ6HL8  B00LI4ZZO8  \\\n",
       "UserId                                                                       \n",
       "A100UD67AHFODS         0.0         0.0         0.0         0.0         0.0   \n",
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       "\n",
       "ProductId       B00LKG1MC8  \n",
       "UserId                      \n",
       "A100UD67AHFODS         0.0  \n",
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       "A105S56ODHGJEK         0.0  \n",
       "A105TOJ6LTVMBG         0.0  \n",
       "A10AFVU66A79Y1         0.0  \n",
       "\n",
       "[5 rows x 48190 columns]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "final_ratings_matrix.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
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       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 1540 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "UserId      A100UD67AHFODS  A100WO06OQR8BQ  A105S56ODHGJEK  A105TOJ6LTVMBG  \\\n",
       "ProductId                                                                    \n",
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       "\n",
       "UserId      A10AFVU66A79Y1  A10H24TDLK2VDP  A10NMELR4KX0J6  A10O7THJ2O20AG  \\\n",
       "ProductId                                                                    \n",
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       "\n",
       "UserId      A10PEXB6XAQ5XF  A10X9ME6R66JDX  ...  AYOTEJ617O60K  AYP0YPLSP9ISM  \\\n",
       "ProductId                                   ...                                 \n",
       "0594451647             0.0             0.0  ...            0.0            0.0   \n",
       "0594481813             0.0             0.0  ...            0.0            0.0   \n",
       "0970407998             0.0             0.0  ...            0.0            0.0   \n",
       "0972683275             0.0             0.0  ...            0.0            0.0   \n",
       "1400501466             0.0             0.0  ...            0.0            0.0   \n",
       "\n",
       "UserId      AZ515FFZ7I2P7  AZ8XSDMIX04VJ  AZAC8O310IK4E  AZBXKUH4AIW3X  \\\n",
       "ProductId                                                                \n",
       "0594451647            0.0            0.0            0.0            0.0   \n",
       "0594481813            0.0            0.0            0.0            0.0   \n",
       "0970407998            0.0            0.0            0.0            0.0   \n",
       "0972683275            0.0            0.0            0.0            0.0   \n",
       "1400501466            0.0            0.0            0.0            0.0   \n",
       "\n",
       "UserId      AZCE11PSTCH1L  AZMY6E8B52L2T  AZNUHQSHZHSUE  AZOK5STV85FBJ  \n",
       "ProductId                                                               \n",
       "0594451647            0.0            0.0            0.0            0.0  \n",
       "0594481813            0.0            0.0            0.0            0.0  \n",
       "0970407998            0.0            0.0            0.0            0.0  \n",
       "0972683275            0.0            0.0            0.0            0.0  \n",
       "1400501466            0.0            0.0            0.0            0.0  \n",
       "\n",
       "[5 rows x 1540 columns]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Matrix with one row per 'Product' and one columns per 'User' for Item-based CF\n",
    "final_ratings_matrix_T = final_ratings_matrix.transpose()\n",
    "final_ratings_matrix_T.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The shape of User-Item Matrix is =  (1540, 48190)\n"
     ]
    },
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      ],
      "text/plain": [
       "ProductId       0594451647  0594481813  0970407998  0972683275  1400501466  \\\n",
       "UserId                                                                       \n",
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       "A100WO06OQR8BQ         0.0         0.0         0.0         0.0         0.0   \n",
       "A105S56ODHGJEK         0.0         0.0         0.0         0.0         0.0   \n",
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       "A10AFVU66A79Y1         0.0         0.0         0.0         0.0         0.0   \n",
       "\n",
       "ProductId       1400501520  1400501776  1400532620  1400532655  140053271X  \\\n",
       "UserId                                                                       \n",
       "A100UD67AHFODS         0.0         0.0         0.0         0.0         0.0   \n",
       "A100WO06OQR8BQ         0.0         0.0         0.0         0.0         0.0   \n",
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       "\n",
       "ProductId       ...  B00L5YZCCG  B00L8I6SFY  B00L8QCVL6  B00LA6T0LS  \\\n",
       "UserId          ...                                                   \n",
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       "\n",
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       "UserId                                                                       \n",
       "A100UD67AHFODS         0.0         0.0         0.0         0.0         0.0   \n",
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       "\n",
       "ProductId       B00LKG1MC8  \n",
       "UserId                      \n",
       "A100UD67AHFODS         0.0  \n",
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       "A10AFVU66A79Y1         0.0  \n",
       "\n",
       "[5 rows x 48190 columns]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Matrix with row per 'user' and column per 'item'\n",
    "ratings_data_pivot = ratings_data.pivot(index = 'UserId', columns = 'ProductId', values = 'Ratings').fillna(0)\n",
    "print(\"The shape of User-Item Matrix is = \", ratings_data_pivot.shape)\n",
    "ratings_data_pivot.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
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       "ProductId       0594451647  0594481813  0970407998  0972683275  1400501466  \\\n",
       "UserId                                                                       \n",
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       "\n",
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       "UserId                                                                       \n",
       "A100UD67AHFODS         0.0         0.0         0.0         0.0         0.0   \n",
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       "\n",
       "ProductId       ...  B00L8I6SFY  B00L8QCVL6  B00LA6T0LS  B00LBZ1Z7K  \\\n",
       "UserId          ...                                                   \n",
       "A100UD67AHFODS  ...         0.0         0.0         0.0         0.0   \n",
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       "\n",
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       "UserId                                                                       \n",
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       "\n",
       "ProductId       user_index  \n",
       "UserId                      \n",
       "A100UD67AHFODS           0  \n",
       "A100WO06OQR8BQ           1  \n",
       "A105S56ODHGJEK           2  \n",
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       "\n",
       "[5 rows x 48191 columns]"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_data_pivot['user_index'] = np.arange(0, ratings_data_pivot.shape[0], 1)\n",
    "ratings_data_pivot.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
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      ],
      "text/plain": [
       "ProductId   0594451647  0594481813  0970407998  0972683275  1400501466  \\\n",
       "user_index                                                               \n",
       "0                  0.0         0.0         0.0         0.0         0.0   \n",
       "1                  0.0         0.0         0.0         0.0         0.0   \n",
       "2                  0.0         0.0         0.0         0.0         0.0   \n",
       "3                  0.0         0.0         0.0         0.0         0.0   \n",
       "4                  0.0         0.0         0.0         0.0         0.0   \n",
       "\n",
       "ProductId   1400501520  1400501776  1400532620  1400532655  140053271X  ...  \\\n",
       "user_index                                                              ...   \n",
       "0                  0.0         0.0         0.0         0.0         0.0  ...   \n",
       "1                  0.0         0.0         0.0         0.0         0.0  ...   \n",
       "2                  0.0         0.0         0.0         0.0         0.0  ...   \n",
       "3                  0.0         0.0         0.0         0.0         0.0  ...   \n",
       "4                  0.0         0.0         0.0         0.0         0.0  ...   \n",
       "\n",
       "ProductId   B00L5YZCCG  B00L8I6SFY  B00L8QCVL6  B00LA6T0LS  B00LBZ1Z7K  \\\n",
       "user_index                                                               \n",
       "0                  0.0         0.0         0.0         0.0         0.0   \n",
       "1                  0.0         0.0         0.0         0.0         0.0   \n",
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       "4                  0.0         0.0         0.0         0.0         0.0   \n",
       "\n",
       "ProductId   B00LED02VY  B00LGN7Y3G  B00LGQ6HL8  B00LI4ZZO8  B00LKG1MC8  \n",
       "user_index                                                              \n",
       "0                  0.0         0.0         0.0         0.0         0.0  \n",
       "1                  0.0         0.0         0.0         0.0         0.0  \n",
       "2                  0.0         0.0         0.0         0.0         0.0  \n",
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       "4                  0.0         0.0         0.0         0.0         0.0  \n",
       "\n",
       "[5 rows x 48190 columns]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_data_pivot.set_index(['user_index'], inplace = True)\n",
    "\n",
    "#Actual Ratings given by users:\n",
    "ratings_data_pivot.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "U, sigma, Vt = svds(ratings_data_pivot, k = 10)\n",
    "sigma = np.diag(sigma)"
   ]
  },
  {
   "cell_type": "code",
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   "outputs": [
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       "[5 rows x 48190 columns]"
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     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_user_predicted_rating = np.dot(np.dot(U, sigma), Vt)\n",
    "\n",
    "#predicted rating:\n",
    "ratings_data_predicted = pd.DataFrame(all_user_predicted_rating, columns = ratings_data_pivot.columns)\n",
    "ratings_data_predicted.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Evaluation of Model Based Collaborative Filtering SVD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
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       "ProductId       0594451647  0594481813  0970407998  0972683275  1400501466  \\\n",
       "UserId                                                                       \n",
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       "\n",
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       "UserId                                                                       \n",
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       "UserId          ...                                                   \n",
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       "UserId                                                                       \n",
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       "ProductId       B00LKG1MC8  \n",
       "UserId                      \n",
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       "\n",
       "[5 rows x 48190 columns]"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Actual ratings given by the users. It is similar to the ratings_data_pivot. Only difference between the two is that ratings_data_pivot has UserId as index.:\n",
    "final_ratings_matrix.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
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       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>ProductId</th>\n",
       "      <th>0594451647</th>\n",
       "      <th>0594481813</th>\n",
       "      <th>0970407998</th>\n",
       "      <th>0972683275</th>\n",
       "      <th>1400501466</th>\n",
       "      <th>1400501520</th>\n",
       "      <th>1400501776</th>\n",
       "      <th>1400532620</th>\n",
       "      <th>1400532655</th>\n",
       "      <th>140053271X</th>\n",
       "      <th>...</th>\n",
       "      <th>B00L5YZCCG</th>\n",
       "      <th>B00L8I6SFY</th>\n",
       "      <th>B00L8QCVL6</th>\n",
       "      <th>B00LA6T0LS</th>\n",
       "      <th>B00LBZ1Z7K</th>\n",
       "      <th>B00LED02VY</th>\n",
       "      <th>B00LGN7Y3G</th>\n",
       "      <th>B00LGQ6HL8</th>\n",
       "      <th>B00LI4ZZO8</th>\n",
       "      <th>B00LKG1MC8</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.002661</td>\n",
       "      <td>0.003576</td>\n",
       "      <td>0.004050</td>\n",
       "      <td>0.006906</td>\n",
       "      <td>0.003967</td>\n",
       "      <td>0.003073</td>\n",
       "      <td>0.005782</td>\n",
       "      <td>0.000568</td>\n",
       "      <td>0.014386</td>\n",
       "      <td>0.002708</td>\n",
       "      <td>...</td>\n",
       "      <td>6.108890e-04</td>\n",
       "      <td>0.044224</td>\n",
       "      <td>0.002919</td>\n",
       "      <td>0.060347</td>\n",
       "      <td>-0.002137</td>\n",
       "      <td>0.006751</td>\n",
       "      <td>0.001525</td>\n",
       "      <td>0.130951</td>\n",
       "      <td>0.059243</td>\n",
       "      <td>0.015014</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.002262</td>\n",
       "      <td>0.002505</td>\n",
       "      <td>0.005136</td>\n",
       "      <td>0.016517</td>\n",
       "      <td>0.007120</td>\n",
       "      <td>0.001438</td>\n",
       "      <td>0.013258</td>\n",
       "      <td>0.000335</td>\n",
       "      <td>-0.003781</td>\n",
       "      <td>0.001190</td>\n",
       "      <td>...</td>\n",
       "      <td>2.024793e-04</td>\n",
       "      <td>0.029213</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>0.000244</td>\n",
       "      <td>-0.003111</td>\n",
       "      <td>-0.000621</td>\n",
       "      <td>0.004409</td>\n",
       "      <td>-0.039241</td>\n",
       "      <td>-0.006889</td>\n",
       "      <td>0.003696</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.001600</td>\n",
       "      <td>-0.002502</td>\n",
       "      <td>0.002186</td>\n",
       "      <td>0.016742</td>\n",
       "      <td>0.006716</td>\n",
       "      <td>-0.002113</td>\n",
       "      <td>0.005805</td>\n",
       "      <td>0.003497</td>\n",
       "      <td>-0.005009</td>\n",
       "      <td>-0.001588</td>\n",
       "      <td>...</td>\n",
       "      <td>-3.240446e-04</td>\n",
       "      <td>0.009180</td>\n",
       "      <td>-0.002459</td>\n",
       "      <td>-0.016922</td>\n",
       "      <td>0.019936</td>\n",
       "      <td>-0.002483</td>\n",
       "      <td>-0.000155</td>\n",
       "      <td>-0.002889</td>\n",
       "      <td>-0.011522</td>\n",
       "      <td>-0.004525</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.002732</td>\n",
       "      <td>0.003867</td>\n",
       "      <td>0.001799</td>\n",
       "      <td>0.009395</td>\n",
       "      <td>0.004075</td>\n",
       "      <td>0.002778</td>\n",
       "      <td>0.003507</td>\n",
       "      <td>0.000095</td>\n",
       "      <td>0.007983</td>\n",
       "      <td>0.002381</td>\n",
       "      <td>...</td>\n",
       "      <td>6.031462e-04</td>\n",
       "      <td>-0.003369</td>\n",
       "      <td>0.003433</td>\n",
       "      <td>-0.003428</td>\n",
       "      <td>-0.000750</td>\n",
       "      <td>0.000119</td>\n",
       "      <td>0.002612</td>\n",
       "      <td>-0.015107</td>\n",
       "      <td>-0.006740</td>\n",
       "      <td>0.003276</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.000704</td>\n",
       "      <td>0.000085</td>\n",
       "      <td>0.002051</td>\n",
       "      <td>0.009664</td>\n",
       "      <td>0.004438</td>\n",
       "      <td>0.000335</td>\n",
       "      <td>0.005992</td>\n",
       "      <td>0.001056</td>\n",
       "      <td>-0.000369</td>\n",
       "      <td>0.000373</td>\n",
       "      <td>...</td>\n",
       "      <td>3.745108e-08</td>\n",
       "      <td>-0.001140</td>\n",
       "      <td>-0.000323</td>\n",
       "      <td>-0.025215</td>\n",
       "      <td>0.004700</td>\n",
       "      <td>-0.002170</td>\n",
       "      <td>0.001263</td>\n",
       "      <td>-0.048555</td>\n",
       "      <td>-0.016301</td>\n",
       "      <td>-0.003377</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 48190 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "ProductId  0594451647  0594481813  0970407998  0972683275  1400501466  \\\n",
       "0            0.002661    0.003576    0.004050    0.006906    0.003967   \n",
       "1            0.002262    0.002505    0.005136    0.016517    0.007120   \n",
       "2           -0.001600   -0.002502    0.002186    0.016742    0.006716   \n",
       "3            0.002732    0.003867    0.001799    0.009395    0.004075   \n",
       "4            0.000704    0.000085    0.002051    0.009664    0.004438   \n",
       "\n",
       "ProductId  1400501520  1400501776  1400532620  1400532655  140053271X  ...  \\\n",
       "0            0.003073    0.005782    0.000568    0.014386    0.002708  ...   \n",
       "1            0.001438    0.013258    0.000335   -0.003781    0.001190  ...   \n",
       "2           -0.002113    0.005805    0.003497   -0.005009   -0.001588  ...   \n",
       "3            0.002778    0.003507    0.000095    0.007983    0.002381  ...   \n",
       "4            0.000335    0.005992    0.001056   -0.000369    0.000373  ...   \n",
       "\n",
       "ProductId    B00L5YZCCG  B00L8I6SFY  B00L8QCVL6  B00LA6T0LS  B00LBZ1Z7K  \\\n",
       "0          6.108890e-04    0.044224    0.002919    0.060347   -0.002137   \n",
       "1          2.024793e-04    0.029213    0.000010    0.000244   -0.003111   \n",
       "2         -3.240446e-04    0.009180   -0.002459   -0.016922    0.019936   \n",
       "3          6.031462e-04   -0.003369    0.003433   -0.003428   -0.000750   \n",
       "4          3.745108e-08   -0.001140   -0.000323   -0.025215    0.004700   \n",
       "\n",
       "ProductId  B00LED02VY  B00LGN7Y3G  B00LGQ6HL8  B00LI4ZZO8  B00LKG1MC8  \n",
       "0            0.006751    0.001525    0.130951    0.059243    0.015014  \n",
       "1           -0.000621    0.004409   -0.039241   -0.006889    0.003696  \n",
       "2           -0.002483   -0.000155   -0.002889   -0.011522   -0.004525  \n",
       "3            0.000119    0.002612   -0.015107   -0.006740    0.003276  \n",
       "4           -0.002170    0.001263   -0.048555   -0.016301   -0.003377  \n",
       "\n",
       "[5 rows x 48190 columns]"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Predicted Ratings\n",
    "ratings_data_predicted.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ProductId\n",
       "0594451647    0.001542\n",
       "0594481813    0.002341\n",
       "0970407998    0.002597\n",
       "0972683275    0.011807\n",
       "1400501466    0.004848\n",
       "dtype: float64"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Average Predicted rating for each item\n",
    "ratings_data_predicted.mean().head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(48190, 2)\n"
     ]
    },
    {
     "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>Average_Actual_Ratings</th>\n",
       "      <th>Average_Predicted_Ratings</th>\n",
       "      <th>item_index</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ProductId</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0594451647</th>\n",
       "      <td>0.003247</td>\n",
       "      <td>0.001542</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0594481813</th>\n",
       "      <td>0.001948</td>\n",
       "      <td>0.002341</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0970407998</th>\n",
       "      <td>0.003247</td>\n",
       "      <td>0.002597</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0972683275</th>\n",
       "      <td>0.012338</td>\n",
       "      <td>0.011807</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1400501466</th>\n",
       "      <td>0.012987</td>\n",
       "      <td>0.004848</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Average_Actual_Ratings  Average_Predicted_Ratings  item_index\n",
       "ProductId                                                                \n",
       "0594451647                0.003247                   0.001542           0\n",
       "0594481813                0.001948                   0.002341           1\n",
       "0970407998                0.003247                   0.002597           2\n",
       "0972683275                0.012338                   0.011807           3\n",
       "1400501466                0.012987                   0.004848           4"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rmse_df = pd.concat([final_ratings_matrix.mean(), ratings_data_predicted.mean()], axis = 1)\n",
    "rmse_df.columns = ['Average_Actual_Ratings', 'Average_Predicted_Ratings']\n",
    "print(rmse_df.shape)\n",
    "rmse_df['item_index'] = np.arange(0, rmse_df.shape[0], 1)\n",
    "rmse_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "RMSE SVD Model = 0.0033 \n",
      "\n"
     ]
    }
   ],
   "source": [
    "RMSE = round((((rmse_df.Average_Actual_Ratings - rmse_df.Average_Predicted_Ratings) ** 2).mean() ** 0.5), 5)\n",
    "print('\\nRMSE SVD Model = {} \\n'.format(RMSE))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The accuracy score for this model which was given by RMSE is 0.0033"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Use Collaborative Filter Based Recommender model to make predictions and find recommendations for random users with highest predicted ratings "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Recommend the items with the highest predicted ratings\n",
    "def recommend_items_collab_svd(UserId, ratings_data_pivot, ratings_data_predicted, num_recommendations):\n",
    "    user_idx = UserId - 1 # index starts with 0\n",
    "    \n",
    "    # Get and sort the user's ratings\n",
    "    sorted_user_ratings = ratings_data_pivot.iloc[user_idx].sort_values(ascending = False)\n",
    "    \n",
    "    # Sorted user ratings\n",
    "    sorted_user_predictions = ratings_data_predicted.iloc[user_idx].sort_values(ascending = False)\n",
    "    \n",
    "    # Sorted user predictions\n",
    "    temp = pd.concat([sorted_user_ratings, sorted_user_predictions], axis = 1)\n",
    "    temp.index.name = \"Recommend Items\"\n",
    "    temp.columns = ['UserRatings', 'UserPredictions']\n",
    "    \n",
    "    temp = temp.loc[temp.UserRatings == 0]\n",
    "    temp = temp.sort_values('UserPredictions', ascending = False)\n",
    "    print('\\nBelow are the Recommended items for User(User_Id = {}):\\n'.format(UserId))\n",
    "    print(temp.head(num_recommendations))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Below are the Recommended items for User(User_Id = 15):\n",
      "\n",
      "                 UserRatings  UserPredictions\n",
      "Recommend Items                              \n",
      "B007WTAJTO               0.0         0.247331\n",
      "B003ES5ZUU               0.0         0.196123\n",
      "B002V88HFE               0.0         0.133789\n",
      "B002WE6D44               0.0         0.112403\n",
      "B000QUUFRW               0.0         0.111686\n"
     ]
    }
   ],
   "source": [
    "#Enter 'userID' and 'num_recommendations' for the user #\n",
    "UserId = 15\n",
    "num_recommendations = 5\n",
    "recommend_items_collab_svd(UserId, ratings_data_pivot, ratings_data_predicted, num_recommendations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Below are the Recommended items for User(User_Id = 121):\n",
      "\n",
      "                 UserRatings  UserPredictions\n",
      "Recommend Items                              \n",
      "B007WTAJTO               0.0         0.419325\n",
      "B003ES5ZUU               0.0         0.372930\n",
      "B002V88HFE               0.0         0.280845\n",
      "B001TH7GUU               0.0         0.233768\n",
      "B002WE6D44               0.0         0.216767\n"
     ]
    }
   ],
   "source": [
    "#Enter 'userID' and 'num_recommendations' for the user #\n",
    "UserId = 121\n",
    "num_recommendations = 5\n",
    "recommend_items_collab_svd(UserId, ratings_data_pivot, ratings_data_predicted, num_recommendations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Below are the Recommended items for User(User_Id = 53):\n",
      "\n",
      "                 UserRatings  UserPredictions\n",
      "Recommend Items                              \n",
      "B007WTAJTO               0.0         0.311538\n",
      "B003ES5ZUU               0.0         0.310841\n",
      "B002V88HFE               0.0         0.198001\n",
      "B001TH7GUU               0.0         0.183487\n",
      "B002WE6D44               0.0         0.150186\n"
     ]
    }
   ],
   "source": [
    "#Enter 'userID' and 'num_recommendations' for the user #\n",
    "UserId = 53\n",
    "num_recommendations = 5\n",
    "recommend_items_collab_svd(UserId, ratings_data_pivot, ratings_data_predicted, num_recommendations)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we can see that for user 15 \"BB000QUUFRW\" is recommended specifically whereas for user(User_Id) 121 and 53 product \"B001TH7GUU\" is recommended for both of them. Apart from this, all three of them have been recommended \"B007WTAJTO\", \"B003ES5ZUU\", \"B002V88HFE\" and \"B002WE6D44\" "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Surprise and SVD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "reader = Reader(rating_scale = (1,10))\n",
    "ratings_data_Sur_SVD = Dataset.load_from_df(ratings_data[['UserId', 'ProductId', 'Ratings']], reader)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "ratings_train, ratings_test = train_test_split(ratings_data_Sur_SVD, test_size = 0.3, random_state = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<generator object Trainset.all_ratings at 0x000001BD070D1B48>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_train.all_ratings()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A2CIQEY05SPHTZ\n"
     ]
    }
   ],
   "source": [
    "# Obtaining the raw id\n",
    "print(ratings_train.to_raw_uid(0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<surprise.prediction_algorithms.matrix_factorization.SVD at 0x1bd0b0100c8>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "svd_model = SVD(n_factors = 5, biased = False)\n",
    "svd_model.fit(ratings_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('A3PDWA32BAMB2Y', 'B00CGW74YU', 5.0)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_test[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_pred = svd_model.test(ratings_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE: 1.6032\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1.6031993594558194"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# compute RMSE\n",
    "accuracy.rmse(test_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The accuracy of the model based on RMSE is 1.60"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Use SVD to make predictions and find recommendations for random users with highest predicted ratings "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_top_n(test_pred, n):\n",
    "    # First map the predictions to each user:\n",
    "    top_n = collections.defaultdict(list)\n",
    "    for uid, iid, true_r, est, _ in test_pred:\n",
    "        top_n[uid].append((iid, est))\n",
    "        \n",
    "    # Then sort the predictions for each user and retrieve the k highest ones:\n",
    "    for uid, user_ratings in top_n.items():\n",
    "        user_ratings.sort(key=lambda x: x[1], reverse = True)\n",
    "        top_n[uid] = user_ratings[:n]\n",
    "        \n",
    "    return top_n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "top_n = get_top_n(test_pred, n = 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "defaultdict(list,\n",
       "            {'A3PDWA32BAMB2Y': [('B004W2JKWG', 5.649475138253148),\n",
       "              ('B000Q8UAWY', 4.575733555536324),\n",
       "              ('B000PNGM18', 4.268614425121315),\n",
       "              ('B002U7NYYK', 4.259735100841004),\n",
       "              ('B005E2K8K6', 4.259735100841004)],\n",
       "             'A31BD4RXCON7QO': [('B0011NVMO8', 5.084847517560893),\n",
       "              ('B001KELVS0', 4.679885168291806),\n",
       "              ('B00009XVCZ', 4.678253917433535),\n",
       "              ('B00007E7JU', 4.633753562283429),\n",
       "              ('B000VUIXOO', 4.613584188281312)],\n",
       "             'A3J8A5L5AF5TX9': [('B0012MMW7E', 5.599059088141292),\n",
       "              ('B0001Y7UAI', 5.524529469611544),\n",
       "              ('B000BQ7GW8', 5.48987318407202),\n",
       "              ('B001W28L2Y', 5.362684712792498),\n",
       "              ('B001ID829O', 5.029510924306521)],\n",
       "             'A3D6OI36USYOU1': [('B001SJVU24', 5.219267825737804),\n",
       "              ('B0035ERKYW', 5.1740928123546475),\n",
       "              ('B003ES5ZUU', 4.452315696419522),\n",
       "              ('B000A1790S', 4.259735100841004),\n",
       "              ('B000FHFGTI', 4.259735100841004)],\n",
       "             'A3JU16JTNLVK1J': [('B000IJY8DS', 4.3973631307971965),\n",
       "              ('B002CX16WO', 4.259735100841004),\n",
       "              ('B004BUVAS6', 4.259735100841004),\n",
       "              ('B000B7670E', 4.259735100841004),\n",
       "              ('B001D5FTE8', 4.259735100841004)],\n",
       "             'A1ZU55TM45Y2R8': [('B00316263Y', 5.216092678306783),\n",
       "              ('B007P4VOWC', 4.662540094899304),\n",
       "              ('B008OEHPKM', 4.621005551274773),\n",
       "              ('B00GY0UFFA', 4.618672948348077),\n",
       "              ('B008PQJWBE', 4.6080634264238665)],\n",
       "             'AYP0YPLSP9ISM': [('B001HTE414', 4.259735100841004),\n",
       "              ('B004JWBQ4Y', 4.259735100841004),\n",
       "              ('B00BEW8MVC', 4.259735100841004),\n",
       "              ('B0078XGE3Y', 4.259735100841004),\n",
       "              ('B00COR6PG0', 4.259735100841004)],\n",
       "             'A3UR2N0ATGBCU8': [('B003X26VV4', 5.3369725623010105),\n",
       "              ('B005869A16', 5.221398903282433),\n",
       "              ('B0024NL4DI', 4.259735100841004),\n",
       "              ('B007I7E9YG', 4.259735100841004),\n",
       "              ('B004OA73LQ', 4.259735100841004)],\n",
       "             'A1PM7HH4F77NEH': [('B003D3MFHM', 4.259735100841004),\n",
       "              ('B00GIAOB10', 4.259735100841004),\n",
       "              ('B005T4TCJW', 4.259735100841004),\n",
       "              ('B0033039BG', 4.259735100841004),\n",
       "              ('B000A36XZS', 4.259735100841004)],\n",
       "             'A1SFPA80X7TRBR': [('B0002LEMWE', 4.903608690315252),\n",
       "              ('B004Q0T0LU', 4.550020254485803),\n",
       "              ('B0041Q38NU', 4.302961214992842),\n",
       "              ('B00F23HCVU', 4.259735100841004),\n",
       "              ('B003R6AGSK', 4.259735100841004)],\n",
       "             'A1AZQCVCDBQP6': [('B00GODG3X0', 4.259735100841004),\n",
       "              ('B00006HSJH', 4.259735100841004),\n",
       "              ('B007M8SGJA', 4.259735100841004),\n",
       "              ('B00BCXF6KS', 4.259735100841004),\n",
       "              ('B008AJNF78', 4.259735100841004)],\n",
       "             'A2DF62DP20RIXF': [('B004OX4HWG', 4.259735100841004),\n",
       "              ('B0048HUNSK', 4.259735100841004),\n",
       "              ('B002TTPC4Y', 4.259735100841004),\n",
       "              ('B003XM1WE0', 4.180681155366654),\n",
       "              ('B002Y6CJJ8', 3.686369808418865)],\n",
       "             'A2JCJJNY43QQIV': [('B00E9646MY', 4.904636015222077),\n",
       "              ('B002K9IHGI', 4.603028087879361),\n",
       "              ('B003FGF2MC', 4.498107651978586),\n",
       "              ('B006C248BC', 4.434697269647894),\n",
       "              ('B003BLQHN4', 4.2311138899126295)],\n",
       "             'A3MMR2WDKAK0PA': [('B009YKTR06', 4.259735100841004),\n",
       "              ('B007PJ4PKK', 2.9682907223300052),\n",
       "              ('B004K1EZDS', 2.8364627109910723),\n",
       "              ('B00DVFLJDS', 2.7220601187350737),\n",
       "              ('B004U78J1G', 2.665420696427586)],\n",
       "             'A1ZTR0FR5AW9B4': [('B0082OBSPM', 4.259735100841004),\n",
       "              ('B0000AE66S', 4.259735100841004),\n",
       "              ('B002P97DVI', 4.259735100841004),\n",
       "              ('B0030EIMWG', 4.259735100841004),\n",
       "              ('B007Z0MUT2', 4.259735100841004)],\n",
       "             'A1EXGL6L0QQ0M5': [('B008F4NL04', 5.465758717500703),\n",
       "              ('B00DCM0DUU', 5.307053112486613),\n",
       "              ('B00EE18LRU', 5.247171901130397),\n",
       "              ('B00429N18S', 5.230527683019723),\n",
       "              ('B0055QYJIS', 5.147038599444327)],\n",
       "             'A1URXSRV6WDHVY': [('B004CLYEI2', 5.537030222930223),\n",
       "              ('B009A6CZ30', 5.321478989159236),\n",
       "              ('B00G6IJ5NI', 5.304098279555683),\n",
       "              ('B005DIQ2OC', 5.120658215006948),\n",
       "              ('B006MPUTBC', 5.089690060023446)],\n",
       "             'A3IJL9A50KVVZ1': [('B004TJ6JH6', 4.78393181814579),\n",
       "              ('B002DPUUKK', 4.435548456465821),\n",
       "              ('B000S35TAU', 4.259735100841004),\n",
       "              ('B0001CXRXY', 4.259735100841004),\n",
       "              ('B0000AG92I', 4.259735100841004)],\n",
       "             'A1MNN0ZMHYPJDU': [('B00B588HY2', 4.378130733662001),\n",
       "              ('B008TT7CXW', 4.342863361283191),\n",
       "              ('B004COIBFG', 4.259735100841004),\n",
       "              ('B00281GS28', 4.259735100841004),\n",
       "              ('B008MBDWJU', 4.259735100841004)],\n",
       "             'ALHC64J88LVWO': [('B005HT7QT2', 4.259735100841004),\n",
       "              ('B00DZGKXGW', 4.259735100841004),\n",
       "              ('B008D2EL7U', 4.259735100841004),\n",
       "              ('B004C53L1Y', 4.259735100841004),\n",
       "              ('B001UKRDVS', 4.259735100841004)],\n",
       "             'A3094EPI56GKZ6': [('B0057UUB1G', 5.481208212056375),\n",
       "              ('B00DQZQPNM', 5.232280035322516),\n",
       "              ('B00ENY08VU', 5.218906898714009),\n",
       "              ('B0054CFKQI', 5.042265950488591),\n",
       "              ('B00DQZQHBW', 5.0313949578919175)],\n",
       "             'A3NYBI5VMVEEIK': [('B000OGX5AM', 4.624171653225857),\n",
       "              ('B00346BL5K', 4.259735100841004),\n",
       "              ('B0037WNN7A', 4.259735100841004),\n",
       "              ('B0095N4A7C', 4.259735100841004),\n",
       "              ('B00026BMBS', 4.259735100841004)],\n",
       "             'ASJLXOX1VD4DF': [('B00EEH5JG0', 4.259735100841004),\n",
       "              ('B0081R7XR2', 4.259735100841004),\n",
       "              ('B004DH9HAK', 4.259735100841004),\n",
       "              ('B00CAAJDP6', 4.192857894693373),\n",
       "              ('B003FSTAFK', 4.022855068060316)],\n",
       "             'A29GWIJL72GXXZ': [('B001DFZ5SS', 4.259735100841004),\n",
       "              ('B002O0KMCA', 4.259735100841004),\n",
       "              ('B0001GGXQI', 4.259735100841004),\n",
       "              ('B00009W3F3', 4.259735100841004),\n",
       "              ('B00137FF8Q', 4.259735100841004)],\n",
       "             'A1RPJHUVVSI98A': [('B000V7AF8E', 4.46105134096952),\n",
       "              ('B0095PTKRA', 4.259735100841004),\n",
       "              ('B0007LI13U', 4.259735100841004),\n",
       "              ('B000F48ZLC', 4.259735100841004),\n",
       "              ('B000FF9WF4', 4.259735100841004)],\n",
       "             'A2ZFBTGPDP6PH6': [('B000QUUFRW', 4.728525856211511),\n",
       "              ('B000BQ7GW8', 4.679251481271351),\n",
       "              ('B003LPUWT0', 4.529937462751346),\n",
       "              ('B0028QWJTO', 4.259735100841004),\n",
       "              ('B0018S241G', 4.259735100841004)],\n",
       "             'A2ALRZ0ENQLYY5': [('B005LFT3GG', 5.3280464106615675),\n",
       "              ('B002V8C3W2', 4.953767698281668),\n",
       "              ('B004LSNF04', 4.856532272658963),\n",
       "              ('B0011NVMO8', 4.568840878482249),\n",
       "              ('B0047ZFHBG', 4.327947226579731)],\n",
       "             'A1T1YSCDW0PD25': [('B000BTL0OA', 5.719181904082677),\n",
       "              ('B0062EUE54', 5.539779170133091),\n",
       "              ('B000089GN3', 5.495844856922119),\n",
       "              ('B000W8UIZW', 5.399693862998365),\n",
       "              ('B005ES0YYA', 5.382664632656405)],\n",
       "             'A3VL4RXCWNSR3H': [('B000KB96QS', 4.259735100841004),\n",
       "              ('B001KMXIKG', 4.259735100841004),\n",
       "              ('B000HGKKWK', 4.259735100841004),\n",
       "              ('B001JYRZ54', 4.259735100841004),\n",
       "              ('B0000AZW8L', 4.259735100841004)],\n",
       "             'A3QNX5KWHDV0GD': [('B002SXMRLC', 4.259735100841004),\n",
       "              ('B00005NMRX', 4.259735100841004),\n",
       "              ('B001MJ03U0', 4.259735100841004),\n",
       "              ('B002BRYDT4', 4.259735100841004),\n",
       "              ('B001GIPMO4', 4.259735100841004)],\n",
       "             'A1CSRR7FCKBL9M': [('B000CKVOOY', 5.595097435704914),\n",
       "              ('B005NGKR54', 5.250183554858598),\n",
       "              ('B0034CL2ZI', 4.763705435384269),\n",
       "              ('B0023Y9EQC', 4.623290298950172),\n",
       "              ('B000UY3NR8', 4.31997513153354)],\n",
       "             'AO8NH0BV82XIE': [('B00CYSX2EW', 4.259735100841004),\n",
       "              ('B0013ENNAQ', 4.259735100841004),\n",
       "              ('B0019BGDJG', 4.259735100841004),\n",
       "              ('B000FL4FQO', 4.259735100841004),\n",
       "              ('B003XPAE5U', 4.259735100841004)],\n",
       "             'A2L0F2T1DLTNT8': [('B002VPE1WK', 4.957824360029199),\n",
       "              ('B00DUTIZJG', 4.789384051806456),\n",
       "              ('B0081FLFQE', 4.649249831139407),\n",
       "              ('B00DLKE8C2', 4.57533317526722),\n",
       "              ('B004N6259G', 4.523308829518107)],\n",
       "             'A2ED50E3KWKUKW': [('B0079M711S', 5.73163413048379),\n",
       "              ('B000JLK5PK', 5.374557605519058),\n",
       "              ('B0015VW3BM', 5.140131496924457),\n",
       "              ('B004UTQRHW', 5.0809982303831855),\n",
       "              ('B00004XOM3', 5.021568656009834)],\n",
       "             'AGXV8E7XK9J6H': [('B00017LSPI', 4.756492709995035),\n",
       "              ('B0007DDK7A', 4.300382467368673),\n",
       "              ('B0002Y5WXE', 4.264049412036471),\n",
       "              ('B0009C15FI', 4.259735100841004),\n",
       "              ('B00109Z6AE', 4.259735100841004)],\n",
       "             'A3P4T1DKRWTL36': [('B00FNPD1VW', 4.983090651795447),\n",
       "              ('B00004WCIC', 4.64959209036813),\n",
       "              ('B00BW6KCTU', 4.603432121526675),\n",
       "              ('B003ES5ZSW', 4.515123444602658),\n",
       "              ('B005FU251C', 4.259735100841004)],\n",
       "             'AEJAGHLC675A7': [('B001MX5YWI', 6.2940080517527415),\n",
       "              ('B0016D1I0G', 5.918976836540032),\n",
       "              ('B00829TIA4', 5.755035950292217),\n",
       "              ('B0088PPFP4', 5.625940486362083),\n",
       "              ('B003L1ZYZ6', 5.463453240686799)],\n",
       "             'A2XRMQA6PJ5ZJ8': [('B000QUUFRW', 6.085982455768546),\n",
       "              ('B00E055H5O', 5.926951111202218),\n",
       "              ('B004V4IWHY', 5.881557545945901),\n",
       "              ('B003ZUIHY8', 5.826987220233821),\n",
       "              ('B001V9KG0I', 5.826899311330429)],\n",
       "             'AFXTKAO0CB354': [('B0000B006W', 4.988904893192028),\n",
       "              ('B004Q7K3XM', 4.259735100841004),\n",
       "              ('B000N29LAU', 4.259735100841004),\n",
       "              ('B00006B6O9', 4.259735100841004),\n",
       "              ('B0002YDZQA', 4.259735100841004)],\n",
       "             'AGJRUK27RBVYS': [('B000N99BBC', 5.049944980296349),\n",
       "              ('B00BP5KOPA', 4.923722755567136),\n",
       "              ('B00G6IJ5NI', 4.69913874007512),\n",
       "              ('B008HK3QII', 4.603458793696515),\n",
       "              ('B00GY0UFFA', 4.526205066501035)],\n",
       "             'A38KK0SZYEH5UD': [('B000VDCT3C', 6.071581983792015),\n",
       "              ('B000N99BBC', 4.939334418227297),\n",
       "              ('B007R1FH3K', 4.6667050532349155),\n",
       "              ('B0019EHU8G', 4.565124634192373),\n",
       "              ('B003KPBRRW', 4.475932120365702)],\n",
       "             'AVPNQUVZWMDSX': [('B000F7JCRA', 5.740008627506498),\n",
       "              ('B00EOE4G4E', 5.665229077445943),\n",
       "              ('B003LVZO8S', 5.473859629773518),\n",
       "              ('B00IF0JAYE', 5.261912464699657),\n",
       "              ('B0054L8MR8', 5.248392312563816)],\n",
       "             'A2JXS1JII6SAUD': [('B004FA8NOQ', 6.299169630856031),\n",
       "              ('B004G8QO8E', 5.065746570746764),\n",
       "              ('B003YL412A', 4.531986582485524),\n",
       "              ('B005ZC4MM0', 4.259735100841004),\n",
       "              ('B0001XGR2G', 4.259735100841004)],\n",
       "             'A1ODOGXEYECQQ8': [('B008AST7R6', 6.335961729355645),\n",
       "              ('B000233WJ6', 5.632874430033433),\n",
       "              ('B009YT6PPC', 5.3155020286564065),\n",
       "              ('B001TUYTZM', 5.253216441722453),\n",
       "              ('B00A35WYBA', 5.185500011319579)],\n",
       "             'A1Z4GII5CHCDG7': [('B006QB1RPY', 4.798231303327814),\n",
       "              ('B0016PM63W', 4.259735100841004),\n",
       "              ('B003XKL7ME', 4.259735100841004),\n",
       "              ('B003LM2K3Y', 4.259735100841004),\n",
       "              ('B000FL9E6U', 4.259735100841004)],\n",
       "             'A3CG93783LP0FO': [('B001S0PWWC', 5.257830165949274),\n",
       "              ('B00BPHH8MA', 5.238790506617464),\n",
       "              ('B00834SJSK', 5.193891695519303),\n",
       "              ('B0036VO6IC', 5.186273127485481),\n",
       "              ('B0095F5AFG', 4.906971401929576)],\n",
       "             'A3EK2KTYHJCPB9': [('B0099SMFVQ', 4.945360316373679),\n",
       "              ('B005KFONIU', 4.727178377201808),\n",
       "              ('B006ZH0L2E', 4.587066375052894),\n",
       "              ('B0090IA4FO', 4.557347953239256),\n",
       "              ('B0088CJT4U', 4.518751931484298)],\n",
       "             'A22CW0ZHY3NJH8': [('B001E1Y5O6', 5.506988632186014),\n",
       "              ('B00CMJZAOI', 5.262111727814311),\n",
       "              ('B00BANM6HQ', 5.170162581980362),\n",
       "              ('B005QCDY50', 5.102709282648373),\n",
       "              ('B003EYVEUO', 5.080951658902053)],\n",
       "             'A2BIJMB2BITQUM': [('B00829TIA4', 4.608047160541602),\n",
       "              ('B00HFRWWAM', 4.569304507394529),\n",
       "              ('B0013FRNKG', 4.40217270492756),\n",
       "              ('B0092MD8OW', 4.279330894726601),\n",
       "              ('B005V0M872', 4.259735100841004)],\n",
       "             'A3FEJ8H2VTN0OJ': [('B007SZ0E1K', 4.449230020549798),\n",
       "              ('B007SSJWDS', 4.259735100841004),\n",
       "              ('B00BD70XOC', 4.259735100841004),\n",
       "              ('B001NJ0D0Y', 4.020964693668135),\n",
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       "             'A11ED8O95W2103': [('B000F8FMKU', 4.259735100841004),\n",
       "              ('B004HD56QE', 4.259735100841004),\n",
       "              ('B000EUHKE0', 4.259735100841004),\n",
       "              ('B000KHVJJO', 4.259735100841004),\n",
       "              ('B001H4ZCS8', 4.259735100841004)],\n",
       "             'A1YEPFLLH42OU1': [('B002YU83YO', 5.724683152236597),\n",
       "              ('B0043WJRRS', 5.44640337498541),\n",
       "              ('B006QB1RPY', 5.358748072228056),\n",
       "              ('B001MSU1HG', 5.267855413690354),\n",
       "              ('B002RM08RE', 5.22388245173529)],\n",
       "             'A2KYRPDKVBI2R4': [('B00B99JU5M', 6.260259338990863),\n",
       "              ('B003M0NURK', 6.159411122913896),\n",
       "              ('B0034CL2ZI', 5.45941341296515),\n",
       "              ('B00483WRZ6', 5.2340698755384985),\n",
       "              ('B0046TJG1U', 4.802252470387529)],\n",
       "             'A20OBCQWBKCGZT': [('B004YLAYHA', 5.291828091024913),\n",
       "              ('B005LIDMYM', 5.110480208702972),\n",
       "              ('B003FGF2MC', 4.833468021030924),\n",
       "              ('B002UT42UI', 4.762688979938732),\n",
       "              ('B00G024X32', 4.756126278455379)],\n",
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       "              ('B000EVLS4C', 4.502007831227946),\n",
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       "              ('B00ATM1MGA', 4.452163441499428),\n",
       "              ('B0090IA4FO', 4.372241605053583)],\n",
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       "             'AQSV34W54L0VO': [('B000OGX5AM', 4.988888041928545),\n",
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       "              ('B00622AG6S', 4.605095790073026)],\n",
       "             'A1Z7U9K6X3FEOU': [('B0099XGZXA', 4.825317729614332),\n",
       "              ('B003TUB2VE', 4.259735100841004),\n",
       "              ('B000BSHIS8', 4.259735100841004),\n",
       "              ('B009RJ1JTG', 4.259735100841004),\n",
       "              ('B00C3R17DM', 4.259735100841004)],\n",
       "             'A1MFPAM9TTRTXN': [('B000I23TTE', 5.210312066011662),\n",
       "              ('B008EC4O76', 5.15056737139073),\n",
       "              ('B003WGJYCY', 4.999369457878715),\n",
       "              ('B002HWRJY4', 4.766611165465517),\n",
       "              ('B005K925UO', 4.259735100841004)],\n",
       "             'AU627A4UGIW6V': [('B003GRHI4K', 4.259735100841004),\n",
       "              ('B0009U5VZA', 4.259735100841004),\n",
       "              ('B002Z3I372', 4.259735100841004),\n",
       "              ('B003GRB4EK', 4.259735100841004),\n",
       "              ('B009WF0B6M', 4.259735100841004)],\n",
       "             'A23QII83UGZP5U': [('B00F3F0EIU', 4.8049838816890045),\n",
       "              ('B00HFRWWAM', 4.653207114903243),\n",
       "              ('B0093HMKVI', 4.636226278308052),\n",
       "              ('B008F4NL04', 4.559888056015511),\n",
       "              ('B003ULNA3K', 4.537826720707492)],\n",
       "             'A25RTRAPQAJBDJ': [('B000FJ2TVY', 4.259735100841004),\n",
       "              ('B00009W3IB', 4.259735100841004),\n",
       "              ('B00A2T6X0K', 4.259735100841004),\n",
       "              ('B00009WBYL', 4.259735100841004),\n",
       "              ('B0009IG3U4', 4.259735100841004)],\n",
       "             'A3TPNC3TKGCCEI': [('B00004SB92', 4.994671387100238),\n",
       "              ('B005D5M122', 4.7629725874118165),\n",
       "              ('B005FE7URM', 4.678679108835772),\n",
       "              ('B007KZQM8W', 4.60467081819347),\n",
       "              ('B00EOI2SYK', 4.577303285398299)],\n",
       "             'A30J7WQV0ZNRXG': [('B00ISIG690', 4.698098902214114),\n",
       "              ('B0013FRNKG', 4.592558001312206),\n",
       "              ('B00G4V0QSK', 4.425968251606676),\n",
       "              ('B00BEGS4R0', 4.326655341931755),\n",
       "              ('B001FW9QGQ', 4.285447158409797)],\n",
       "             'A7FDGFK0KN7QG': [('B000GBSA14', 4.259735100841004),\n",
       "              ('B00GMQ5P7Y', 4.259735100841004),\n",
       "              ('B002VKF75A', 4.259735100841004),\n",
       "              ('B0087BEHRG', 4.259735100841004),\n",
       "              ('B002RJKVSS', 4.259735100841004)],\n",
       "             'A2J7FHZFKOKGZ6': [('B0010Y414Q', 4.966866121756743),\n",
       "              ('B003M2YT96', 4.659171917194749),\n",
       "              ('B006TT91TW', 4.499646978020875),\n",
       "              ('B005L38VPC', 4.350320475446485),\n",
       "              ('B000FTYTWQ', 4.259735100841004)],\n",
       "             'AL5CUWBFBMWYQ': [('B00829TIA4', 4.336133750304774),\n",
       "              ('B00BJOUFY2', 4.309208125204317),\n",
       "              ('B001TGROEE', 4.259735100841004),\n",
       "              ('B000687F1I', 4.259735100841004),\n",
       "              ('B002OWQD1W', 4.259735100841004)],\n",
       "             'A1CST2WUA32GP0': [('B000I23TTE', 4.807664862837245),\n",
       "              ('B00CXUYTTS', 4.259735100841004),\n",
       "              ('B000I97G4Q', 4.259735100841004),\n",
       "              ('B004QD0IL8', 4.259735100841004),\n",
       "              ('B0035PS57C', 4.259735100841004)],\n",
       "             'A34BZM6S9L7QI4': [('B00829TIA4', 5.200998790555014),\n",
       "              ('B00DQZQPNM', 5.044514774321023),\n",
       "              ('B009UNZ5WQ', 4.948797253140706),\n",
       "              ('B005DIQ2OC', 4.89060819636487),\n",
       "              ('B00E5UHRIO', 4.857942173038482)],\n",
       "             'A3CKI6VEH0HBMJ': [('B001G5ZTN6', 4.671266760329459),\n",
       "              ('B000UZJ0O2', 4.259735100841004),\n",
       "              ('B003O54DQK', 4.259735100841004),\n",
       "              ('B00009UTSD', 4.259735100841004),\n",
       "              ('B000J54JDK', 4.259735100841004)],\n",
       "             'A361U4SXK7FCQE': [('B005KFONIU', 4.593613723090516),\n",
       "              ('B002TLTE6O', 4.567825552581965),\n",
       "              ('B0079R8KO0', 4.543842300126773),\n",
       "              ('B00BOHNYU6', 4.51545480168978),\n",
       "              ('B004NY9UV4', 4.446476518999173)],\n",
       "             'A2UCDLO7V7DG6': [('B003J9HFB6', 4.259735100841004),\n",
       "              ('B004CCYIHI', 4.259735100841004),\n",
       "              ('B001FD67TO', 4.259735100841004),\n",
       "              ('B002SCNDIE', 4.259735100841004),\n",
       "              ('B0054P1S70', 4.259735100841004)],\n",
       "             'ASJZT7DM51QEM': [('B004V4IWHY', 4.689846667245714),\n",
       "              ('B00D2LE3WA', 4.259735100841004),\n",
       "              ('B003HFCDLY', 4.136269792034083),\n",
       "              ('B004QK7HI8', 3.8882883954291634),\n",
       "              ('B002SZEOLG', 3.8864583869202147)],\n",
       "             'AD9ZL63H0VKCZ': [('B00004ZCAQ', 4.259735100841004),\n",
       "              ('B002L3S5GA', 4.259735100841004),\n",
       "              ('B007MBFT9W', 4.259735100841004),\n",
       "              ('B0051GN7WQ', 4.259735100841004),\n",
       "              ('B0018D91N0', 4.259735100841004)],\n",
       "             'A3L9E0YI7C5G0W': [('B0061RJSWC', 5.059187697118621),\n",
       "              ('B00BGA9WK2', 4.982104214957506),\n",
       "              ('B005FYNSPK', 4.962313179144774),\n",
       "              ('B00006JN3G', 4.4616873025609065),\n",
       "              ('B002K3Z3DO', 4.315842149125372)],\n",
       "             'AR8LWDT6TUKNZ': [('B004JHY5OM', 4.259735100841004),\n",
       "              ('B003NNS09O', 4.259735100841004),\n",
       "              ('B00A7OM5MU', 4.259735100841004),\n",
       "              ('B008O4RLOM', 4.259735100841004),\n",
       "              ('B005IQRMN4', 4.010139492972354)],\n",
       "             'A2KHG3JOFXQ4CE': [('B0057OCDQS', 4.523090528078065),\n",
       "              ('B00EHVNF3M', 4.259735100841004),\n",
       "              ('B001C0QUW4', 4.259735100841004),\n",
       "              ('B006MX0WHU', 4.259735100841004),\n",
       "              ('B00AR95ESC', 4.235001741964532)],\n",
       "             'A2FZQF0MH29VYN': [('B002V88HFE', 4.711655688530964),\n",
       "              ('B004C9P9TM', 4.646659455021131),\n",
       "              ('B004HHICKC', 4.547875589451553),\n",
       "              ('B00A83I8G2', 4.496940392478757),\n",
       "              ('B0002KVQBA', 4.408415044458486)],\n",
       "             'AN9CP6J4JF91X': [('B005HMKKH4', 4.982482600159381),\n",
       "              ('B000HDJT4S', 4.7459603994557105),\n",
       "              ('B000Q8UAWY', 4.650254970696003),\n",
       "              ('B001XURP7W', 4.517997928540544),\n",
       "              ('B001N0KEWU', 4.489085870200532)],\n",
       "             'A3EX8ZFNVDHGPM': [('B0020HRHLQ', 4.259735100841004),\n",
       "              ('B001DPRUMW', 4.259735100841004),\n",
       "              ('B005ZMLEYO', 4.259735100841004),\n",
       "              ('B000R99LZO', 4.259735100841004),\n",
       "              ('B000OCWSNG', 4.259735100841004)],\n",
       "             'AM9APPMIE1BHZ': [('B003XU6H8I', 4.329760383637548),\n",
       "              ('B00CD1FB26', 4.292257424051212),\n",
       "              ('B00E6ONJJU', 4.2840452197575),\n",
       "              ('B0047XUDCQ', 4.259735100841004),\n",
       "              ('B000E1D36S', 4.259735100841004)],\n",
       "             'A3NG7X4APIV649': [('B0027AGK3M', 4.844336220125352),\n",
       "              ('B00BLCVD9I', 4.832886846511007),\n",
       "              ('B001FA1O18', 4.520977183112683),\n",
       "              ('B008V9RW58', 4.386996806555386),\n",
       "              ('B002OGMNT4', 4.355005683114123)],\n",
       "             'A13WREJ05GMRA6': [('B002JPS2TA', 4.259735100841004),\n",
       "              ('B003ULP5PG', 4.259735100841004),\n",
       "              ('B00906E03I', 4.259735100841004),\n",
       "              ('B004ZMVD0A', 4.259735100841004),\n",
       "              ('B009KG9FUQ', 4.259735100841004)],\n",
       "             'A2LCE1D0TW2XY0': [('B002NO7PWC', 5.3666640556440095),\n",
       "              ('B000X24ISU', 5.098228654546004),\n",
       "              ('B009B0MZ8U', 5.044532688882115),\n",
       "              ('B009OBCAW2', 4.882903412405605),\n",
       "              ('B0033PRWSW', 4.578434296081245)],\n",
       "             'A3SL0HA6422W4M': [('B00F6OV6T4', 4.259735100841004),\n",
       "              ('B00DHWUZD0', 4.259735100841004),\n",
       "              ('B00C4VFYRC', 4.259735100841004),\n",
       "              ('B00EZAYELC', 4.259735100841004),\n",
       "              ('B001IKEX68', 4.259735100841004)],\n",
       "             'ARC5ASW9CUAGP': [('B000A1IUFQ', 4.259735100841004),\n",
       "              ('B004HL37AS', 4.259735100841004),\n",
       "              ('B0027RMIAO', 4.259735100841004),\n",
       "              ('B001V9LPT4', 4.019935960987195),\n",
       "              ('B00483WRZ6', 3.6366166790970427)],\n",
       "             'AVBLGXSWRN666': [('B00267S7XW', 4.39487185602691),\n",
       "              ('B0040MUU3G', 4.259735100841004),\n",
       "              ('B00EO96W2I', 4.187220509151944),\n",
       "              ('B00G024X32', 4.1202951070528995),\n",
       "              ('B004CLYEFK', 4.03289566723502)],\n",
       "             'A2WYF4POBUXL2O': [('B002X2P7CE', 4.259735100841004),\n",
       "              ('B001QK61GA', 4.259735100841004),\n",
       "              ('B001CCVJ1E', 4.259735100841004),\n",
       "              ('B001HCRPTO', 4.259735100841004),\n",
       "              ('B001BTCSI6', 3.712834215713351)],\n",
       "             'A3VONQL7YW8UPM': [('B001TH7GUA', 5.389128376961548),\n",
       "              ('B001TH7GUU', 5.303086893175388),\n",
       "              ('B000233WJ6', 4.625270666931279),\n",
       "              ('B001U612R8', 4.5806263979912),\n",
       "              ('B005SIKYUK', 4.259735100841004)],\n",
       "             'A2T24Z5QP2OMXU': [('B00E3W15P0', 4.774044816902),\n",
       "              ('B005DLDO4U', 4.592757367326096),\n",
       "              ('B00D5Q75RC', 4.523832407507561),\n",
       "              ('B007WTAJTO', 4.488729457086488),\n",
       "              ('B00B46XUQU', 4.396946527839202)],\n",
       "             'A33ZYFE8XMKKR1': [('B001449QRY', 4.259735100841004),\n",
       "              ('B002Q0QK8S', 4.259735100841004),\n",
       "              ('B003ULZ1C8', 4.259735100841004),\n",
       "              ('B005NFKPH0', 4.259735100841004),\n",
       "              ('B001EUS68S', 4.259735100841004)],\n",
       "             'A215WH6RUDUCMP': [('B008MF3X9K', 4.715200398261958),\n",
       "              ('B00EDCF0MY', 4.59173615669343),\n",
       "              ('B007W7PIZ6', 4.566597810539699),\n",
       "              ('B008X9Z8NE', 4.48535742731727),\n",
       "              ('B00F1CRTLK', 4.408723811436918)],\n",
       "             'A38V76R24EJSHA': [('B00322PYUY', 4.259735100841004),\n",
       "              ('B00HQZGZ38', 4.259735100841004),\n",
       "              ('B004BAZTEC', 4.259735100841004),\n",
       "              ('B007MW13PA', 4.259735100841004),\n",
       "              ('B004JPLG96', 4.259735100841004)],\n",
       "             'A33PVCHCQ2BTN0': [('B002TMRZOQ', 5.079496545869137),\n",
       "              ('B002TLT10I', 4.852088508235737),\n",
       "              ('B00829TIEK', 4.797452399050533),\n",
       "              ('B002Y6CJJ8', 4.765052669611326),\n",
       "              ('B00DQZQPNM', 4.632962759212742)],\n",
       "             'A1C5WS021EL3WO': [('B001CCAISE', 5.448768600764302),\n",
       "              ('B007NZGPAY', 5.207281551526417),\n",
       "              ('B004C3AW40', 5.151455259213394),\n",
       "              ('B001KN6WL2', 5.0115226071260635),\n",
       "              ('B000ENUCR4', 4.897940362289297)],\n",
       "             'A3JAH5WW61N2EK': [('B00AI6L1CW', 4.259735100841004),\n",
       "              ('B00IXAMSAY', 4.259735100841004),\n",
       "              ('B00JD6TAB2', 4.259735100841004),\n",
       "              ('B0016MNFTY', 4.259735100841004),\n",
       "              ('B005EPSCOW', 4.259735100841004)],\n",
       "             'A7KBAXO177NND': [('B004V4IWHY', 4.437978964745329),\n",
       "              ('B000YB862E', 4.293368232478142),\n",
       "              ('B004FLFTS8', 4.259735100841004),\n",
       "              ('B006Z8C5AY', 4.259735100841004),\n",
       "              ('B00A3DLG7A', 4.259735100841004)],\n",
       "             'A22R9L5DAVYYWR': [('B000I223MI', 4.259735100841004),\n",
       "              ('B0006IA132', 4.259735100841004),\n",
       "              ('B00001RMCY', 4.259735100841004),\n",
       "              ('B001MYASTG', 4.259735100841004),\n",
       "              ('B00153IF62', 4.259735100841004)],\n",
       "             'A1AKW788238PWQ': [('B0058UUR6E', 4.2664287606283775),\n",
       "              ('B003E3029Y', 4.259735100841004),\n",
       "              ('B000N2N24G', 4.259735100841004),\n",
       "              ('B0002BFKC0', 4.259735100841004),\n",
       "              ('B0069SGO48', 4.259735100841004)],\n",
       "             'A1E3OB6QMBKRYZ': [('B001KZTQ2C', 4.259735100841004),\n",
       "              ('B0067XG1T8', 4.259735100841004),\n",
       "              ('B000W09L8U', 4.259735100841004),\n",
       "              ('B0041DZTWG', 4.259735100841004),\n",
       "              ('B00519RBR0', 4.259735100841004)],\n",
       "             'A2Y1WNETD9AYHO': [('B007PJ4PKK', 5.287329577097372),\n",
       "              ('B000OFWJO6', 5.0807616471404495),\n",
       "              ('B003CJTR8M', 4.786926620729562),\n",
       "              ('B00006B7DB', 4.259735100841004),\n",
       "              ('B000PQHMGO', 4.259735100841004)],\n",
       "             'A3QQGPI3CTV9SX': [('B00005LENO', 5.294110589326797),\n",
       "              ('B0093H4VBU', 5.062788706666126),\n",
       "              ('B0006B486K', 5.040269359746978),\n",
       "              ('B000JE7GPY', 4.894153547732421),\n",
       "              ('B00005LEN4', 4.796712843138728)],\n",
       "             'A1MFAPVBW9BEGD': [('B00009UT9B', 4.430323318406141),\n",
       "              ('B000P8U2G4', 4.259735100841004),\n",
       "              ('B0091MXWLM', 4.259735100841004),\n",
       "              ('B004KJE8GE', 4.259735100841004),\n",
       "              ('B000MCLNKW', 4.259735100841004)],\n",
       "             'A3J6Q0Y0SKY7AR': [('B000CRFOMK', 4.914294384257785),\n",
       "              ('B001DJ64D4', 4.421578404798826),\n",
       "              ('B00006HSBC', 4.259735100841004),\n",
       "              ('B002YFY4YC', 4.259735100841004),\n",
       "              ('B002ZBQ768', 4.259735100841004)],\n",
       "             'A1H7Y5XKPGT0OS': [('B005X64MN2', 4.504202736144478),\n",
       "              ('B0081WPKKO', 4.259735100841004),\n",
       "              ('B000BQ7GW8', 4.169305727974566),\n",
       "              ('B00GHY5F3K', 3.954686628748347),\n",
       "              ('B008X9ZBVI', 3.802961103430525)],\n",
       "             'A17HMM1M7T9PJ1': [('B002NO7PWC', 5.911445871535703),\n",
       "              ('B00DR6DQZA', 5.811118468157864),\n",
       "              ('B005IMFX2K', 5.341808221025971),\n",
       "              ('B000U5TUWE', 5.278680046172482),\n",
       "              ('B002HEWA28', 5.19613077070525)],\n",
       "             'AZ515FFZ7I2P7': [('B001S4OTS6', 5.3071835194153465),\n",
       "              ('B002IC0YL8', 5.039995451483337),\n",
       "              ('B00FF8ZRR8', 4.95537556934078),\n",
       "              ('B003VAK1I2', 4.792092635395495),\n",
       "              ('B0002ZAILY', 4.591005008063807)],\n",
       "             'A1DSRM2P0WGQNS': [('B004FHO5Y6', 4.139437940611156),\n",
       "              ('B0010WG2H2', 4.107217602997118),\n",
       "              ('B0079UAT0A', 4.067706603849272),\n",
       "              ('B001E25JOA', 3.9873998942271816),\n",
       "              ('B000089GN3', 3.8179972165369174)],\n",
       "             'A2TA40MV2H4O6F': [('B001TH7T2U', 5.3425308052106635),\n",
       "              ('B001TH7GUU', 5.2722968852712615),\n",
       "              ('B00009XVCZ', 5.239209499106053),\n",
       "              ('B000B6D39I', 5.217285480262602),\n",
       "              ('B0012Y6HC8', 5.058804106719206)],\n",
       "             'A2VAD79S4A06DD': [('B0054U6CEE', 5.132834351755383),\n",
       "              ('B00IVPU6GO', 5.04504771558218),\n",
       "              ('B00176TEGM', 4.8877759384618225),\n",
       "              ('B006MPUTBC', 4.775540048692855),\n",
       "              ('B005CLPP84', 4.622911783725122)],\n",
       "             'A31HOWJKEIY037': [('B001O4EPHA', 4.53995663729615),\n",
       "              ('B002J9HBIO', 4.291033879570433),\n",
       "              ('B007NCJ1IA', 4.259735100841004),\n",
       "              ('B0038BI7L2', 4.259735100841004),\n",
       "              ('B000093S8Z', 4.259735100841004)],\n",
       "             'A233TZONT1OGR0': [('B00B29FY5O', 4.259735100841004),\n",
       "              ('B0000E2XEB', 4.259735100841004),\n",
       "              ('B0043KJAK4', 4.259735100841004),\n",
       "              ('B00DVQFECE', 4.259735100841004),\n",
       "              ('B000092TT0', 3.2870564884050077)],\n",
       "             ...})"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "top_n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we have predicted the top 5 recommendations for each of the user on the basis of ratings. For e.g., for UserId \"A3PDWA32BAMB2Y\" recommendend items will be 'B004W2JKWG', 'B000Q8UAWY', 'B000PNGM18', 'B002U7NYYK' and 'B005E2K8K6'."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using SVD, SVDpp, NormalPredictor and BaselineOnly from Surprise"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we will use cross validate to determine the best algorithm for the dataset and then using the a set of hyperparameter to train and test the model in order to predict the items for recommendation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimating biases using als...\n",
      "Estimating biases using als...\n",
      "Estimating biases using als...\n"
     ]
    }
   ],
   "source": [
    "benchmark = []\n",
    "# Iterate over all algorithms\n",
    "\n",
    "for algorithm in [SVD(), SVDpp(), NormalPredictor(), BaselineOnly()]:\n",
    "    # perform cross validation\n",
    "    result = cross_validate(algorithm, ratings_data_Sur_SVD, measures = ['RMSE'], cv = 3, verbose = False)\n",
    "    \n",
    "    #Get results & append algorithm name\n",
    "    tmp = pd.DataFrame.from_dict(result).mean(axis=0)\n",
    "    tmp = tmp.append(pd.Series([str(algorithm).split(' ')[0].split('.')[-1]], index=['Algorithm']))\n",
    "    benchmark.append(tmp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "surprise_results = pd.DataFrame(benchmark).set_index('Algorithm').sort_values('test_rmse')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>test_rmse</th>\n",
       "      <th>fit_time</th>\n",
       "      <th>test_time</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Algorithm</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>BaselineOnly</th>\n",
       "      <td>0.982110</td>\n",
       "      <td>0.321002</td>\n",
       "      <td>0.197814</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SVDpp</th>\n",
       "      <td>0.986078</td>\n",
       "      <td>71.578126</td>\n",
       "      <td>2.795772</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SVD</th>\n",
       "      <td>0.987323</td>\n",
       "      <td>4.492276</td>\n",
       "      <td>0.348401</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NormalPredictor</th>\n",
       "      <td>1.503066</td>\n",
       "      <td>0.143640</td>\n",
       "      <td>0.425538</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 test_rmse   fit_time  test_time\n",
       "Algorithm                                       \n",
       "BaselineOnly      0.982110   0.321002   0.197814\n",
       "SVDpp             0.986078  71.578126   2.795772\n",
       "SVD               0.987323   4.492276   0.348401\n",
       "NormalPredictor   1.503066   0.143640   0.425538"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "surprise_results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As, BaselineOnly has the best performance since it has the least RMSE, therefore we will be training and predicting with BaselineOnly and use Alternating Least Square (ALS). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using ALS\n",
      "Estimating biases using als...\n",
      "Estimating biases using als...\n",
      "Estimating biases using als...\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "{'test_rmse': array([0.98111432, 0.97694087, 0.98552324]),\n",
       " 'fit_time': (0.16356515884399414, 0.18959474563598633, 0.1825263500213623),\n",
       " 'test_time': (0.18051457405090332, 0.1825110912322998, 0.17952370643615723)}"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print('Using ALS')\n",
    "bsl_options = {'method': 'als',\n",
    "               'n_epochs': 5,\n",
    "               'reg_u': 12,\n",
    "               'reg_i': 5\n",
    "               }\n",
    "algo = BaselineOnly(bsl_options=bsl_options)\n",
    "cross_validate(algo, ratings_data_Sur_SVD, measures=['RMSE'], cv=3, verbose=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimating biases using als...\n",
      "RMSE: 0.9758\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.9758274124233489"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trainset, testset = train_test_split(ratings_data_Sur_SVD, test_size=0.3)\n",
    "algo = BaselineOnly(bsl_options=bsl_options)\n",
    "predictions = algo.fit(trainset).test(testset)\n",
    "accuracy.rmse(predictions)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, the new and improved accuracy based on RMSE is 0.9758"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Use BaselineOnly to make predictions and find recommendations for random users with highest predicted ratings "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_top_n_baseline(predictions, n):\n",
    "    # First map the predictions to each user:\n",
    "    top_n_baseline = collections.defaultdict(list)\n",
    "    for uid, iid, true_r, est, _ in predictions:\n",
    "        top_n_baseline[uid].append((iid, est))\n",
    "        \n",
    "    # Then sort the predictions for each user and retrieve the k highest ones:\n",
    "    for uid, user_ratings in top_n_baseline.items():\n",
    "        user_ratings.sort(key=lambda x: x[1], reverse = True)\n",
    "        top_n_baseline[uid] = user_ratings[:n]\n",
    "        \n",
    "    return top_n_baseline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "top_n_baseline = get_top_n_baseline(predictions, n = 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "defaultdict(list,\n",
       "            {'A3D6OI36USYOU1': [('B003ES5ZUU', 4.671436418001574),\n",
       "              ('B0001G6U4S', 4.47107254451985),\n",
       "              ('B001KB21KA', 4.302340233493692),\n",
       "              ('B001SJVU24', 4.290937045285904),\n",
       "              ('B004K2Z4MS', 4.28061694601943)],\n",
       "             'A16RI68PS6T5CA': [('B000N99BBC', 4.588232159505509),\n",
       "              ('B00COF7DGS', 4.3682767034842405),\n",
       "              ('B000M2GYF6', 4.307656004086306),\n",
       "              ('B00HVT27B8', 4.29443244101648),\n",
       "              ('B0002TA96Y', 4.23179534203566)],\n",
       "             'A1SB9BNNGKNX2Z': [('B005E8MVV4', 4.895919324121109),\n",
       "              ('B004SKBJYE', 4.874972298699158),\n",
       "              ('B000067RBT', 4.8581314395252395),\n",
       "              ('B00GO4GMAI', 4.832216973072793),\n",
       "              ('B00006JPDI', 4.799770279418388)],\n",
       "             'ARBKYIVNYWK3C': [('B00080DSEM', 4.834488402257963),\n",
       "              ('B0002WPREU', 4.823892339539962),\n",
       "              ('B001AGM2VI', 4.8197914055917295),\n",
       "              ('B0006I1TRY', 4.80427598491138),\n",
       "              ('B001OOZ1X2', 4.799921158097181)],\n",
       "             'A3AZI828WJN1CD': [('B003765X38', 4.560315729152945),\n",
       "              ('B007ILK234', 4.525684784671277),\n",
       "              ('B006OM75I8', 4.523872180638948),\n",
       "              ('B00CM0XHNS', 4.515599276134744),\n",
       "              ('B00KH8PU6E', 4.404577605612238)],\n",
       "             'A1X3DA7C61WZLQ': [('B00408K36Y', 3.731802763526489),\n",
       "              ('B00005T406', 3.6819058644880567),\n",
       "              ('B000E7CZ02', 3.5988086452353936),\n",
       "              ('B00008V9EF', 3.5988086452353936),\n",
       "              ('B000ER5G58', 3.5988086452353936)],\n",
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       "              ('B003ZSHNGS', 4.577032101396734),\n",
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       "              ('B00IVPU59W', 4.390129252706212)],\n",
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       "              ('B003P2UMQ2', 4.409504279887152),\n",
       "              ('B003I4FHNA', 4.409411037681252),\n",
       "              ('B0002L5R78', 4.305467091653541),\n",
       "              ('B00FNPD1OY', 4.2181707552755805)],\n",
       "             'A3PD8JD9L4WEII': [('B00BW6KCTU', 4.850777629880695),\n",
       "              ('B0089ZV1WY', 4.635911970013016),\n",
       "              ('B000P6BSEG', 4.6262787600089075),\n",
       "              ('B004TPPWT6', 4.58137856552991),\n",
       "              ('B00GM0OZ4O', 4.570013740189048)],\n",
       "             'A2OKRGHIYTBQ6P': [('B003ES5ZUU', 4.960678178491599),\n",
       "              ('B003MTTJOY', 4.842231193171839),\n",
       "              ('B004CLYEDC', 4.835663193050324),\n",
       "              ('B007WTAJTO', 4.804609565932985),\n",
       "              ('B005IMFX2K', 4.749969825586027)],\n",
       "             'A38RMU1Y5TDP9': [('B00HFW1E6K', 4.615443178264964),\n",
       "              ('B003U7SR0U', 4.60149942412663),\n",
       "              ('B00F0DD0I6', 4.5925780618336685),\n",
       "              ('B00483WRZ6', 4.585921864945222),\n",
       "              ('B004ED815A', 4.551571897583214)],\n",
       "             'AYLLSFYS3UP1H': [('B003NR57BY', 4.723903372939956),\n",
       "              ('B002WE4HE2', 4.665961253557785),\n",
       "              ('B007RZB3KM', 4.600170691336518),\n",
       "              ('B00746W3HG', 4.583027076765291),\n",
       "              ('B002HWRJBC', 4.528046575259651)],\n",
       "             'A1IDAKX7OM3QIE': [('B005DKZTMG', 3.843604260463722),\n",
       "              ('B004SGJCCO', 3.8286595655984375),\n",
       "              ('B004YHXXKO', 3.767939133228144),\n",
       "              ('B000QKKAOU', 3.7645047654951997),\n",
       "              ('B00G5RDU5O', 3.6839857709745445)],\n",
       "             'A2PK64OVZA1U8Z': [('B006TT91TW', 4.441757855220658),\n",
       "              ('B00829THH8', 4.413568256039867),\n",
       "              ('B00IAV4S1I', 4.4072538686866745),\n",
       "              ('B001NTFAOS', 4.394536583508417),\n",
       "              ('B002VR6A9K', 4.343317158321644)],\n",
       "             'A2TA40MV2H4O6F': [('B00BQ4F9ZA', 5.148880001253606),\n",
       "              ('B001TH7GUU', 5.1173237238120315),\n",
       "              ('B00007E89K', 5.050431555967406),\n",
       "              ('B00007GQLU', 4.952794016133457),\n",
       "              ('B007BXD66E', 4.942652298199469)],\n",
       "             'A368IPE6EW0GZL': [('B007FGYZFI', 4.624731858482847),\n",
       "              ('B002ZIMEMW', 4.620941595923964),\n",
       "              ('B0016D1I0G', 4.610592945334818),\n",
       "              ('B00B8L36A6', 4.562785987414362),\n",
       "              ('B002QAUN2M', 4.411271476234008)],\n",
       "             'A2HV76MYH7UL3S': [('B007SZ0EHE', 4.973541336578794),\n",
       "              ('B006JILARE', 4.855255266456387),\n",
       "              ('B00752R4QO', 4.841561337424599),\n",
       "              ('B004BLK24S', 4.7847237225292965),\n",
       "              ('B003ZTWYXY', 4.760609005080458)],\n",
       "             'A1901NTE8LFJF6': [('B003GALRIA', 4.39507279341456),\n",
       "              ('B001PIBE8I', 4.368111906374038),\n",
       "              ('B00119T6NQ', 4.311058245169626),\n",
       "              ('B0011U65F2', 4.3069080139055655),\n",
       "              ('B005DKZTMG', 4.24261523693553)],\n",
       "             'A1KWPIORLG2QV': [('B001ID829O', 4.931845097060629),\n",
       "              ('B00008Y0VN', 4.861782261141709),\n",
       "              ('B000EVSLRO', 4.841631050149729),\n",
       "              ('B00829THK0', 4.780081000710158),\n",
       "              ('B00IEYG88M', 4.77553312284233)],\n",
       "             'AK3GKIV8DEY8B': [('B000J5LA9Q', 4.770888391867028),\n",
       "              ('B0019FJM7W', 4.685590679161506),\n",
       "              ('B000J1F1BI', 4.683226104390897),\n",
       "              ('B0000TU7IG', 4.665491154125591),\n",
       "              ('B00B5150CG', 4.655034656781236)],\n",
       "             'A2UOHALGF2X77Q': [('B0052SCU8U', 4.944885161246523),\n",
       "              ('B003ES5ZUU', 4.869728365678974),\n",
       "              ('B006LW0W5Y', 4.834278798128224),\n",
       "              ('B001F7AHXM', 4.831895285285487),\n",
       "              ('B002WE6D44', 4.7712150367377175)],\n",
       "             'A3V7D0LH8L7BG0': [('B00EVIBN8U', 4.870599023836492),\n",
       "              ('B00D856NOG', 4.867718190508295),\n",
       "              ('B000QWEN5K', 4.861373726085839),\n",
       "              ('B00BOHNYU6', 4.843012349200728),\n",
       "              ('B001G5ZTPY', 4.797819311925379)],\n",
       "             'ABQWMANK4AR63': [('B002V8C3W2', 4.599597922683533),\n",
       "              ('B002TLTG9E', 4.444187305844901),\n",
       "              ('B00BBD7NFU', 4.418328696626542),\n",
       "              ('B0031RGKZI', 4.374733541117273),\n",
       "              ('B003X7TRWE', 4.331344199328695)],\n",
       "             'A2I357I10ZY7CI': [('B002V88HFE', 4.685438080445212),\n",
       "              ('B004GF8TIK', 4.609197629132378),\n",
       "              ('B003SQEAY0', 4.592130401471543),\n",
       "              ('B002SIMPXM', 4.5550512293866205),\n",
       "              ('B002NEGTSI', 4.46604277349568)],\n",
       "             'A1VVRA3P6G1TWH': [('B00009XVCZ', 4.545750029700821),\n",
       "              ('B00006I53X', 4.5220470031051505),\n",
       "              ('B001SER47O', 4.441088482734753),\n",
       "              ('B000VUIXOO', 4.332032574263548),\n",
       "              ('B000TJV9KW', 4.2991452839524955)],\n",
       "             'A1W415JP5WEAJK': [('B005IMFX2K', 4.675396282781527),\n",
       "              ('B002VPE21A', 4.568457953093507),\n",
       "              ('B006FLENJC', 4.56653143019686),\n",
       "              ('B00F6E4HXG', 4.521019681713158),\n",
       "              ('B00IP8IBYG', 4.517621439347668)],\n",
       "             'A3NOBH42C7UI5M': [('B001MSU1FS', 4.26422425312876),\n",
       "              ('B001QTXL82', 4.2349161274706),\n",
       "              ('B0010Z28XG', 4.232659167456031),\n",
       "              ('B001XURPQI', 4.1255432350596974),\n",
       "              ('B005Q5TP5U', 4.060045476413377)],\n",
       "             'A1MNN0ZMHYPJDU': [('B001DBF07I', 4.951634882497628),\n",
       "              ('B00862522A', 4.842890826145643),\n",
       "              ('B00BJNHGRM', 4.827585600723445),\n",
       "              ('B005CLMJLU', 4.820501123312874),\n",
       "              ('B00E0EY7Z6', 4.802283835706536)],\n",
       "             'AHF4I1FSIHABC': [('B002LTWDSK', 4.819349070008399),\n",
       "              ('B004Q3R9AQ', 4.7890844636285514),\n",
       "              ('B00139W0XM', 4.770341229058115),\n",
       "              ('B000V07N9U', 4.763117643721444),\n",
       "              ('B002AH8T3Q', 4.709549024257914)],\n",
       "             'A3V0YR50F1XSKP': [('B0088PUEPK', 5.06273749173872),\n",
       "              ('B000OGX5AM', 5.0305652166884345),\n",
       "              ('B000067RVL', 4.936045114039159),\n",
       "              ('B009FC3YJ8', 4.856067333400446),\n",
       "              ('B0060GEZ0E', 4.784033698125443)],\n",
       "             'AMKNPIDFLRFMP': [('B000N99BBC', 4.421069605580091),\n",
       "              ('B000JMJWV2', 4.249638549512734),\n",
       "              ('B000067RVL', 4.22286413962309),\n",
       "              ('B00834SJSK', 4.204439932965676),\n",
       "              ('B00006B7DA', 4.152086538657053)],\n",
       "             'A2J7FHZFKOKGZ6': [('B0010Y414Q', 4.300667940392676),\n",
       "              ('B001F51G16', 4.131394214024155),\n",
       "              ('B005L38VPC', 4.119353497921015),\n",
       "              ('B006TT91TW', 4.065367965856604),\n",
       "              ('B003OC6LWM', 4.009623550776875)],\n",
       "             'A3F3B6HY9RJI04': [('B006TF37H8', 4.597719864519232),\n",
       "              ('B00006JPDI', 4.574048502661703),\n",
       "              ('B000TKHGL2', 4.5489103919709),\n",
       "              ('B008O2HWSO', 4.547822822986058),\n",
       "              ('B00006IW1X', 4.5378541598911974)],\n",
       "             'A1B4MIXYVIKMU2': [('B000JMJWV2', 4.686949720929254),\n",
       "              ('B00B588HY2', 4.6562648468729115),\n",
       "              ('B000VIHFZ4', 4.631233113884552),\n",
       "              ('B005IA843W', 4.625249172429228),\n",
       "              ('B00829TIA4', 4.625095269590713)],\n",
       "             'A33YZNZIRA3H97': [('B009USAJCC', 4.491210986225605),\n",
       "              ('B001EAQTRI', 4.430446813137047),\n",
       "              ('B000MX48VM', 4.389243407972546),\n",
       "              ('B00006I5J7', 4.379691384158716),\n",
       "              ('B00BFO14W8', 4.311844280167508)],\n",
       "             'AOEDWQLH2WKKW': [('B00D5Q75RC', 4.543173468591111),\n",
       "              ('B00BOHNYU6', 4.517007438891198),\n",
       "              ('B00CMRTVFE', 4.4426658555507155),\n",
       "              ('B00HMREOLK', 4.381251146910692),\n",
       "              ('B0081FLFQE', 4.360317766752408)],\n",
       "             'A1RL1OTV8IJMVD': [('B005DQG5SC', 4.563636676566245),\n",
       "              ('B00BOHNYU6', 4.476391932957682),\n",
       "              ('B00691WMJG', 4.408822164307398),\n",
       "              ('B004CLYEFK', 4.400866168485241),\n",
       "              ('B008O2HWTI', 4.378717342018448)],\n",
       "             'AZOK5STV85FBJ': [('B00AANMVNQ', 4.863613180520132),\n",
       "              ('B0002L5R78', 4.85829568295799),\n",
       "              ('B00005854B', 4.768468554015879),\n",
       "              ('B00068YUN4', 4.764125580461196),\n",
       "              ('B00104XCVO', 4.746892029423986)],\n",
       "             'A1V5TRJXTI6F01': [('B002WE6D44', 4.977312835785596),\n",
       "              ('B000HPV3RW', 4.93971582103407),\n",
       "              ('B000IJY8DS', 4.916144800020809),\n",
       "              ('B002FB684E', 4.670262541380948),\n",
       "              ('B003LSTD38', 4.668288060276181)],\n",
       "             'A3NVZTGPORNPRW': [('B000SE6IV8', 4.6329550726294535),\n",
       "              ('B0000AOWXO', 4.623161040363654),\n",
       "              ('B005U0M9B8', 4.566967223564996),\n",
       "              ('B00IEZGWI2', 4.5464130671427485),\n",
       "              ('B0002F8ZGO', 4.52771780636565)],\n",
       "             'A3P1508PZ0UADD': [('B000CSOXTO', 4.257221757688757),\n",
       "              ('B001TDL34Y', 4.249159096441933),\n",
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       "              ('B001FWU96M', 4.431514760866747),\n",
       "              ('B003HC8V9A', 4.358321474547803)],\n",
       "             'A1MCH5RXDOH87H': [('B008EQZ25K', 4.253076782798967),\n",
       "              ('B0036AWR8E', 4.100728553517688),\n",
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       "             'AVJORH3ACR2A5': [('B00081A2KY', 4.873813955760999),\n",
       "              ('B005OFFH5Y', 4.779310974712136),\n",
       "              ('B005TUQV0E', 4.733305002080249),\n",
       "              ('B000BQ7GW8', 4.723049343777385),\n",
       "              ('B0064Z71T8', 4.6856722069206445)],\n",
       "             'A1JBEKU5TYIWE7': [('B0019EHU8G', 4.991418084785677),\n",
       "              ('B004286VMW', 4.78935551570249),\n",
       "              ('B000IMSK8Y', 4.721552695810138),\n",
       "              ('B005J7YA4G', 4.718579570475326),\n",
       "              ('B0051PMWY6', 4.627001403790511)],\n",
       "             'A17V9XL4CWTQ6G': [('B003L1ZYZ6', 5.197947133432701),\n",
       "              ('B00KH8PUDW', 4.929622734091228),\n",
       "              ('B00JX1ZS5O', 4.92676818597654),\n",
       "              ('B001SAJ1VA', 4.92389593166616),\n",
       "              ('B006OM75I8', 4.909381749574862)],\n",
       "             'A2LCE1D0TW2XY0': [('B00009XVCZ', 4.68394153845951),\n",
       "              ('B0033PRWSW', 4.642633387209742),\n",
       "              ('B00387G6R8', 4.48628762317521),\n",
       "              ('B009OBCAW2', 4.469196964235633),\n",
       "              ('B002NEGTTW', 4.463426615082682)],\n",
       "             'A32HSNCNPRUMTR': [('B0083Y1YVE', 4.2034402045598105),\n",
       "              ('B004C9P9TM', 4.156457003022302),\n",
       "              ('B00CTY84KI', 4.112647897549024),\n",
       "              ('B0043EV20Q', 4.026166476380946),\n",
       "              ('B006QNMZZ8', 4.010610676598237)],\n",
       "             'A1LAGS8H4A2DR7': [('B002V8C3W2', 4.59295604059577),\n",
       "              ('B001AGM2VI', 4.354896335713425),\n",
       "              ('B00CALM2JY', 4.24109323659898),\n",
       "              ('B00C2P61FO', 4.220655759761972),\n",
       "              ('B00E7LSCNK', 4.189953245298701)],\n",
       "             'A2KOV8XWZOZ0FQ': [('B000N99BBC', 4.6726550056477825),\n",
       "              ('B00IVPU59W', 4.49250713566431),\n",
       "              ('B0031RG29M', 4.450233310124285),\n",
       "              ('B00429N18S', 4.412908454383129),\n",
       "              ('B00EU9V3VW', 4.4065716773297074)],\n",
       "             'A21NS06GDEA3V0': [('B0088PUEPK', 4.461915794900454),\n",
       "              ('B001TH7GSW', 4.415372229389179),\n",
       "              ('B003X7TRWE', 4.338961826741668),\n",
       "              ('B0002MQGOA', 4.246601510338553),\n",
       "              ('B0045JCL22', 4.176475026985674)],\n",
       "             'AG8YP2XTC5X1I': [('B001FO4QHI', 4.718415858516796),\n",
       "              ('B001H5T7LK', 4.665622870532916),\n",
       "              ('B00213FX38', 4.64941229093884),\n",
       "              ('B00B5HE3UU', 4.593698761309428),\n",
       "              ('B005ARQV6U', 4.563474731153073)],\n",
       "             'A39137LW12KK7B': [('B007WTAJTO', 4.8356610277187215),\n",
       "              ('B00HZWJGS8', 4.809846560422282),\n",
       "              ('B0009MX5R4', 4.724731720958707),\n",
       "              ('B0007SL4IW', 4.674452732457788),\n",
       "              ('B00CELZD8C', 4.637327525477354)],\n",
       "             'A1VTCSCH8FFC76': [('B003BLQHN4', 4.610457606926014),\n",
       "              ('B003GALRIA', 4.555069236211157),\n",
       "              ('B000V07N9U', 4.543618873915847),\n",
       "              ('B002KG6HZO', 4.525345161235341),\n",
       "              ('B000FBSREK', 4.492782798841729)],\n",
       "             'A105S56ODHGJEK': [('B000QWEN5K', 4.524987153486684),\n",
       "              ('B00829TIA4', 4.409082410464305),\n",
       "              ('B0079UAT0A', 4.319065674517384),\n",
       "              ('B001CBFTFM', 4.316824225514272),\n",
       "              ('B002MCZJ78', 4.291069503534339)],\n",
       "             'A1SFPA80X7TRBR': [('B002WE6D44', 4.997371098088396),\n",
       "              ('B0041MY32Y', 4.84217215891898),\n",
       "              ('B004DAS2QM', 4.726302571983254),\n",
       "              ('B00155RGYM', 4.710337034829519),\n",
       "              ('B0024TNXNG', 4.671279624654362)],\n",
       "             'A2NOW4U7W3F7RI': [('B00017LSPI', 5.224029461143088),\n",
       "              ('B00DK2JQOQ', 5.036645317638228),\n",
       "              ('B00005T3G0', 5.019601916387536),\n",
       "              ('B00006RVPW', 5.005870341431684),\n",
       "              ('B000ANCPNM', 5.001060625341519)],\n",
       "             'A3Q6ZPW60CVF2L': [('B0015L0T68', 4.061537459286182),\n",
       "              ('B0036V9AGU', 4.058249569311214),\n",
       "              ('B000067SLX', 3.9232858764611254),\n",
       "              ('B00DM5EV8C', 3.902792148578704),\n",
       "              ('B002SAA42Y', 3.8390359184663443)],\n",
       "             'A203OCQQ12MAVT': [('B0000X0VCY', 4.878021487638109),\n",
       "              ('B004F9P2KU', 4.808221718237472),\n",
       "              ('B000068O16', 4.788528194170965),\n",
       "              ('B002PHLZE6', 4.726442918097318),\n",
       "              ('B000068O1A', 4.648954005161255)],\n",
       "             'AFICF7DKHTQ87': [('B000VDCT3C', 4.488290870895885),\n",
       "              ('B005HY4U46', 4.365214534362585),\n",
       "              ('B009NHWVIA', 4.362404919281207),\n",
       "              ('B00HYAL84G', 4.285656500020167),\n",
       "              ('B0076AYNXM', 4.2518220939745435)],\n",
       "             'A5GPH59NDWJRB': [('B00B50CEH6', 4.505408949683288),\n",
       "              ('B000RHZJN4', 4.430331725677418),\n",
       "              ('B006UMM15O', 4.416576836133715),\n",
       "              ('B000EVLS4C', 4.399363686314752),\n",
       "              ('B00JF0D7RE', 4.374247531420035)],\n",
       "             'A25C2M3QF9G7OQ': [('B00009XVCZ', 5.1331677285569866),\n",
       "              ('B001TUYTZM', 5.011476001517265),\n",
       "              ('B002NU5UW8', 4.9527160754771415),\n",
       "              ('B005IMFX2K', 4.934212389313121),\n",
       "              ('B00284ALF0', 4.8975586345112125)],\n",
       "             'A1A306IAZ3TM1': [('B00009EHJV', 3.5988443859535266),\n",
       "              ('B0009VKJH4', 3.5180632621970127),\n",
       "              ('B0025ZH43O', 3.467923780505238),\n",
       "              ('B00006I5WJ', 3.37306977569234),\n",
       "              ('B002BDUAEK', 3.334344359850405)],\n",
       "             'A1ZBEIL78MLR9Z': [('B003ES5ZUU', 4.7720749445957065),\n",
       "              ('B00D856NOG', 4.635881918201126),\n",
       "              ('B0076MBOC8', 4.537775853619747),\n",
       "              ('B005J31BCY', 4.535147839510491),\n",
       "              ('B00139JBU2', 4.470360833128256)],\n",
       "             'A3V5F050GVZ56Q': [('B002V88HFE', 4.974097381662966),\n",
       "              ('B00D50UNRM', 4.8975339203365085),\n",
       "              ('B0082E9K7U', 4.8971321569513435),\n",
       "              ('B000067RT6', 4.8787183340313955),\n",
       "              ('B00B7JLZQQ', 4.847709289618857)],\n",
       "             'A225G2TFM76GYX': [('B001F7AHXM', 4.931752126193704),\n",
       "              ('B00IVFDZBC', 4.888337407544021),\n",
       "              ('B00DT04I9W', 4.843427746994061),\n",
       "              ('B001TUYTZM', 4.836140465885762),\n",
       "              ('B002EEP3MK', 4.820331052184602)],\n",
       "             'AMS2CPERWN7JV': [('B00AR95EVE', 4.781380709669139),\n",
       "              ('B00GNN5VBG', 4.779766449285359),\n",
       "              ('B002HWRJY4', 4.663809411750515),\n",
       "              ('B002TLTE7I', 4.633346490426571),\n",
       "              ('B00GN6PPXW', 4.624183733245812)],\n",
       "             'A1G5MI2KREPEIB': [('B00212NO6W', 4.554830898844869),\n",
       "              ('B008JGR9MO', 4.481989904605508),\n",
       "              ('B00028VKLI', 4.451691558016277),\n",
       "              ('B00E055H5O', 4.45134623562663),\n",
       "              ('B00006HSML', 4.432574779270215)],\n",
       "             'A209G57KXCBF4C': [('B00EHZYWGM', 4.375587417754935),\n",
       "              ('B00IVPU6GO', 4.272103334395782),\n",
       "              ('B00AQUO5RI', 4.109209478180391),\n",
       "              ('B00COHALOM', 4.108137395549978),\n",
       "              ('B009HPC21O', 4.065361665753106)],\n",
       "             'A51OFQVC6O5YL': [('B0099SMFVQ', 4.779500359544375),\n",
       "              ('B004S4R5CK', 4.7647671854980835),\n",
       "              ('B004W2JKWG', 4.7182892477890395),\n",
       "              ('B00EO302SO', 4.679757364805975),\n",
       "              ('B001W26TIW', 4.676583045132754)],\n",
       "             'A3QRW0UJPKIAX7': [('B003FG7IG0', 4.345781543727946),\n",
       "              ('B009WG6JF8', 4.326056865742098),\n",
       "              ('B003YKG2W8', 4.225581592986786),\n",
       "              ('B004AM625G', 4.159110270046524),\n",
       "              ('B005GTNZUM', 4.132764929800622)],\n",
       "             'A2HXEJXEQQTM1D': [('B000I21YDM', 4.537794465789327),\n",
       "              ('B00007FGUF', 4.492438609651169),\n",
       "              ('B007P4VOWC', 4.470729696326218),\n",
       "              ('B00CBE17JG', 4.440883562565402),\n",
       "              ('B000YK1JAG', 4.436495899933027)],\n",
       "             'A27H0T39U3FZB5': [('B003L1ZYZ6', 4.594070064500654),\n",
       "              ('B00D6XW62I', 4.587816917088868),\n",
       "              ('B000V5P90K', 4.510712137086897),\n",
       "              ('B00DR6DQZA', 4.448297348073386),\n",
       "              ('B0000AZK4G', 4.444108564555634)],\n",
       "             'AS269J1OGZT1V': [('B0058AH2US', 4.169716368766448),\n",
       "              ('B003F69JBW', 4.146356481079706),\n",
       "              ('B009SYZ8OC', 4.081422898606746),\n",
       "              ('B004DBD4TG', 4.081114648716502),\n",
       "              ('B00009R9EB', 3.9912244652697777)],\n",
       "             'AX7317G153T8W': [('B00387EW1K', 4.691489797713932),\n",
       "              ('B001OOZ1X2', 4.688209686561324),\n",
       "              ('B001E1Y5O6', 4.646134550347113),\n",
       "              ('B0002L5R78', 4.640747531054407),\n",
       "              ('B009YT6PPC', 4.618380172578727)],\n",
       "             'A5JLAU2ARJ0BO': [('B0007QKMQY', 4.375745949412924),\n",
       "              ('B0000X0VCY', 4.337411903573863),\n",
       "              ('B0002IWC9C', 4.217346021639017),\n",
       "              ('B0002XQJFA', 4.173712920036758),\n",
       "              ('B0000C8817', 4.167196953983753)],\n",
       "             'A1BVE2ZIBKJ7YI': [('B006QB1RPY', 3.987100025542435),\n",
       "              ('B001PIBE8I', 3.980230106410733),\n",
       "              ('B002C7481G', 3.881396641588267),\n",
       "              ('B005HQ50SO', 3.8226390260691567),\n",
       "              ('B0067XVNTG', 3.806044227677163)],\n",
       "             'AEN44U6T9R93': [('B002KETE24', 4.5268142709666535),\n",
       "              ('B0077EAOSU', 4.4228626366449175),\n",
       "              ('B005B8M19O', 4.358764624620816),\n",
       "              ('B001CZ5BOW', 4.317601692238023),\n",
       "              ('B0014C0IAK', 4.277627375319251)],\n",
       "             'A362FM6FYA1SYS': [('B0099XGZXA', 4.885935185287247),\n",
       "              ('B004Y1AYAC', 4.885314424095474),\n",
       "              ('B007WTAJTO', 4.883429903167681),\n",
       "              ('B00006I5J7', 4.81875167449604),\n",
       "              ('B008RJZQSW', 4.690699058397552)],\n",
       "             'ARTA78TP6H73D': [('B002FU5QMA', 4.450215363689021),\n",
       "              ('B00CM0XHNS', 4.380229545236167),\n",
       "              ('B00005QXWI', 4.280670715762785),\n",
       "              ('B005NCNE62', 4.266677502635444),\n",
       "              ('B00F93IOR4', 4.251737664360933)],\n",
       "             'A2XJMQ2COPGWJH': [('B0019EHU8G', 4.548010271746776),\n",
       "              ('B0000X0VCY', 4.44790491709076),\n",
       "              ('B001UE8IMC', 4.2282260616115845),\n",
       "              ('B0025VKUPW', 4.162366136282619),\n",
       "              ('B0009Y7APU', 4.162083364652033)],\n",
       "             'A2XRIU3SOYZ0ZC': [('B0034CL2ZI', 4.866628743741211),\n",
       "              ('B001HBH1B2', 4.8533141750525335),\n",
       "              ('B008HO9DIG', 4.779316849897114),\n",
       "              ('B00829TIEK', 4.698078856990051),\n",
       "              ('B0021Y73W6', 4.636966416219822)],\n",
       "             'A30J7WQV0ZNRXG': [('B007PJ4P4G', 4.642352140111026),\n",
       "              ('B0009K9FZW', 4.6408048483555),\n",
       "              ('B00IJU0K2Q', 4.4143952888116615),\n",
       "              ('B00ISIG690', 4.409091615759994),\n",
       "              ('B004YLAYHA', 4.392826219542064)],\n",
       "             'A1K4G5YJDJQI6Q': [('B001DU1ZHS', 3.1745081641978574),\n",
       "              ('B003FSTAGY', 3.1676844500406918),\n",
       "              ('B006J4AHCM', 3.1361931849158817),\n",
       "              ('B004H1PCWO', 3.1361931849158817),\n",
       "              ('B001HH0AUU', 3.1361931849158817)],\n",
       "             'A2QDOJFFLFGF18': [('B009NHWVIA', 4.933149289608617),\n",
       "              ('B00829THVO', 4.834668520763856),\n",
       "              ('B000X38ZO2', 4.727548240481475),\n",
       "              ('B001S0I1M0', 4.667280251416034),\n",
       "              ('B003D8OSV8', 4.651935997948011)],\n",
       "             'A185O1MX1RP964': [('B0023Y9EQC', 4.559464705255281),\n",
       "              ('B001VEAI74', 4.53651048316846),\n",
       "              ('B00355IJU0', 4.455110863002164),\n",
       "              ('B00IA9LQK6', 4.359797802101103),\n",
       "              ('B002TF6NZU', 4.359797802101103)],\n",
       "             'A3284KYDZ00BZA': [('B00IVFDZBC', 4.591322984849886),\n",
       "              ('B000HPV3RW', 4.5364604402002735),\n",
       "              ('B00CI3BIWQ', 4.467570399156835),\n",
       "              ('B0056YNA1Q', 4.364457812815612),\n",
       "              ('B0011ZCDKS', 4.342259228170995)],\n",
       "             'A386LG0LRWKJZP': [('B006K54ZU0', 3.353661237948709),\n",
       "              ('B00007M1TZ', 3.3177905901218967),\n",
       "              ('B001P8180W', 3.2886069430938893),\n",
       "              ('B008RJZQSW', 3.2565162086268535),\n",
       "              ('B000TYL27M', 3.2323466914558114)],\n",
       "             'A1WXG10FJ353K0': [('B0090Z3QG6', 4.580800462970664),\n",
       "              ('B002MCZJ78', 4.580212105470659),\n",
       "              ('B006YLYYZ6', 4.575060453904389),\n",
       "              ('B004YRUDKM', 4.561760613084877),\n",
       "              ('B004SBCFLE', 4.520149905860755)],\n",
       "             'ARX0KOX5Q01BJ': [('B003WGJYCY', 4.310574579608046),\n",
       "              ('B00006RSQU', 4.307525043797286),\n",
       "              ('B007VGGFZU', 4.238981686227113),\n",
       "              ('B000067RC1', 4.159919686095135),\n",
       "              ('B000LSKBP0', 4.151314614421785)],\n",
       "             'A3VBZDYGHF4NK8': [('B003ES5ZUU', 5.131887712647636),\n",
       "              ('B002V88HFE', 5.0152506740566665),\n",
       "              ('B00AAHT8JC', 4.845962054918854),\n",
       "              ('B001NTBVPA', 4.748513344452443),\n",
       "              ('B004DMNT2W', 4.685333583519901)],\n",
       "             'A3D0UM4ZD2CMAW': [('B004EBUXHQ', 5.258313665275249),\n",
       "              ('B004MYFOE2', 5.243520405367191),\n",
       "              ('B0058UUR6E', 5.1813420316243555),\n",
       "              ('B004FA8NOQ', 5.1538700623929365),\n",
       "              ('B007SZ0EOW', 5.149802727918395)],\n",
       "             'A1BBYSMT9YCODI': [('B00DRA4B6Y', 4.329409025742052),\n",
       "              ('B00A9NE84C', 4.310735932404409),\n",
       "              ('B00D695GS8', 4.222817652181471),\n",
       "              ('B00361EZXS', 4.106761492685207),\n",
       "              ('B006DUOMAK', 4.024692296890974)],\n",
       "             'A2NX6PABLIJLP1': [('B00009EHJV', 4.707060144717111),\n",
       "              ('B0002L5R78', 4.655922804868857),\n",
       "              ('B006QB1RPY', 4.642102962516663),\n",
       "              ('B00119T6NQ', 4.578179382180549),\n",
       "              ('B000EVT0XS', 4.488601249645807)],\n",
       "             'A3VC74TJ06WDDD': [('B00840353W', 4.554321519102941),\n",
       "              ('B000BQ7GW8', 4.409896389063032),\n",
       "              ('B001NJ0D0Y', 4.260401012824028),\n",
       "              ('B007Y2YVH0', 4.244048341350168),\n",
       "              ('B003D8OSPY', 4.174445125216883)],\n",
       "             'A3MU9G6YWKTGTA': [('B00119NBEG', 4.580124751735058),\n",
       "              ('B002NU5O9C', 4.3815944615954),\n",
       "              ('B001QUA6R0', 4.3585212309362085),\n",
       "              ('B000J43HJ8', 4.310282685234798),\n",
       "              ('B0002YE35M', 4.302301292935817)],\n",
       "             'A2OBDNQ5ZYU1L8': [('B00D4MFPLA', 4.5248887687529615),\n",
       "              ('B00GO1UV4E', 4.500834299738897),\n",
       "              ('B00746LVOM', 4.429373107973253),\n",
       "              ('B008DVMRXG', 4.419988126901089),\n",
       "              ('B00IF0JAIU', 4.419602011378528)],\n",
       "             'A32T2H8150OJLU': [('B004V4IWHY', 4.866555590061702),\n",
       "              ('B003HIXOOG', 4.769434626030639),\n",
       "              ('B000M2GYF6', 4.7355959243085675),\n",
       "              ('B008S94NTE', 4.713226273873958),\n",
       "              ('B000BQ7GW8', 4.708580134246617)],\n",
       "             'A3REK3OFONWB1Q': [('B00017LSPI', 5.031804145334423),\n",
       "              ('B0033PRWSW', 5.025638050904345),\n",
       "              ('B0000BZL5A', 4.923010795552382),\n",
       "              ('B007BXD66E', 4.8838325805654925),\n",
       "              ('B000AZ57M6', 4.830597986375847)],\n",
       "             'A200RY2ELZL2Q3': [('B006W8U2MU', 4.432016202994032),\n",
       "              ('B002LBROAA', 4.140797780118593),\n",
       "              ('B007V9UO6S', 3.960171312575963),\n",
       "              ('B001LDQD6K', 3.960171312575963),\n",
       "              ('B004C467MU', 3.960171312575963)],\n",
       "             'A1143YEAZYMYHJ': [('B00GBATPFO', 4.769767895027203),\n",
       "              ('B000M3ILF6', 4.6085788263755205),\n",
       "              ('B00E9646MY', 4.596894192410695),\n",
       "              ('B000066JQU', 4.58058593724242),\n",
       "              ('B00CD778LC', 4.47575525662913)],\n",
       "             'A3LDPF5FMB782Z': [('B001FA09WI', 4.623327285253229),\n",
       "              ('B002V88HFE', 4.487540118315543),\n",
       "              ('B00DB3SH2G', 4.347801230136581),\n",
       "              ('B001SER48S', 4.3097507659207),\n",
       "              ('B003ZSHNG8', 4.2552989733214766)],\n",
       "             'A316XO4RWX21YN': [('B00AJHDZSI', 4.434125661535225),\n",
       "              ('B00GTGETFG', 4.384743207275039),\n",
       "              ('B00EU9V3YO', 4.346484588729227),\n",
       "              ('B002HDZNSC', 4.264058095589222),\n",
       "              ('B002QAUN2M', 4.23592783659649)],\n",
       "             'AT2J7H5TRZM8Z': [('B0000659UN', 4.249980885281592),\n",
       "              ('B0000645C8', 4.22866992833627),\n",
       "              ('B00005B0BY', 4.171011760539836),\n",
       "              ('B000068BRB', 4.119856297768023),\n",
       "              ('B00006IIV1', 4.063374493424138)],\n",
       "             'A1V4A5U5O3TMMD': [('B007FGYZFI', 4.547298832945492),\n",
       "              ('B0058J1QYC', 4.474794935257066),\n",
       "              ('B006JINHYS', 4.450638470720947),\n",
       "              ('B002ZCXJZE', 4.406128236847561),\n",
       "              ('B0002E1RZQ', 4.360854798273735)],\n",
       "             'A226VGZWOEBPGL': [('B000N99BBC', 5.05838194235645),\n",
       "              ('B0036Q7MV0', 4.898422729303418),\n",
       "              ('B00834SJSK', 4.841752269742035),\n",
       "              ('B002TLTE6Y', 4.828253978973028),\n",
       "              ('B00390JT1O', 4.752322631568613)],\n",
       "             'A1Y85GQ09Y95JL': [('B00H09GORW', 3.869879106801213),\n",
       "              ('B002C7481G', 3.8614776135460027),\n",
       "              ('B0009Q4PIS', 3.7938801863259237),\n",
       "              ('B004U78J1G', 3.76179828056942),\n",
       "              ('B001G5ZTLS', 3.67941597922342)],\n",
       "             'A186697K4XKXQL': [('B001BM5XB2', 4.494937022080805),\n",
       "              ('B00CGYCOR0', 4.403507205319108),\n",
       "              ('B00FJRS5BA', 4.39797922224261),\n",
       "              ('B0094S35W4', 4.349450815796383),\n",
       "              ('B000T8CWFE', 4.280246308956069)],\n",
       "             'A2WJ5XSE4I9F55': [('B007WTAJTO', 3.853768350412229),\n",
       "              ('B004FA8NOQ', 3.7836821340287057),\n",
       "              ('B001E1Y5O6', 3.7584618148848334),\n",
       "              ('B008M9U3BM', 3.6328776824505113),\n",
       "              ('B00001P4XA', 3.454875977766546)],\n",
       "             'A3Q4TYJVAM4IRM': [('B003ES5ZUU', 4.988523760437518),\n",
       "              ('B00009XVCZ', 4.976770746775812),\n",
       "              ('B003CFATT2', 4.880581489528834),\n",
       "              ('B0036AWR8E', 4.876467374031042),\n",
       "              ('B000067RT6', 4.776507674214979)],\n",
       "             'A15U64VGUV6RBF': [('B003ES5ZUU', 5.21964776318655),\n",
       "              ('B00CPGYNV4', 4.951504532452482),\n",
       "              ('B00BLCVD9I', 4.940373358430068),\n",
       "              ('B001F7AHOG', 4.91822645770807),\n",
       "              ('B00109Y2DQ', 4.849347271466931)],\n",
       "             'A2SNE4QQGVP13U': [('B0000B006W', 4.494616981029232),\n",
       "              ('B009O7YUF6', 4.484980326588502),\n",
       "              ('B004SUO068', 4.428616493334737),\n",
       "              ('B005UBNKZG', 4.4239040792483015),\n",
       "              ('B000O8I474', 4.354427219292537)],\n",
       "             'A3AYSYSLHU26U9': [('B004CLYEDC', 4.795359576413421),\n",
       "              ('B00CMJZAOI', 4.788053044748774),\n",
       "              ('B00IX2VGFA', 4.739398361366743),\n",
       "              ('B00DTZYHX4', 4.732527978602373),\n",
       "              ('B00DK2JQOQ', 4.68609534786844)],\n",
       "             'A3LWC833HQIG7J': [('B003ES5ZUU', 4.901246555352896),\n",
       "              ('B0019EHU8G', 4.890448940271829),\n",
       "              ('B001T9NUJE', 4.801038740170674),\n",
       "              ('B00310PJM0', 4.700722923107717),\n",
       "              ('B00CDIK908', 4.65120803778439)],\n",
       "             'A2ROZACRW31PC2': [('B00E3W15P0', 4.060983128561418),\n",
       "              ('B008U69LC4', 3.811153837028163),\n",
       "              ('B005IPJX7S', 3.6976023168723233),\n",
       "              ('B009HP42HQ', 3.671266315395815),\n",
       "              ('B004ZKP45C', 3.6357323545347393)],\n",
       "             'A1B6O7SAIYG2N0': [('B005KFONIU', 4.611699329550646),\n",
       "              ('B008PQAFR4', 4.554146047594113),\n",
       "              ('B0090IA4FO', 4.549093362594341),\n",
       "              ('B00AR95FOU', 4.478976561762869),\n",
       "              ('B008RF7I5K', 4.4359874009658515)],\n",
       "             'A149RNR5RH19YY': [('B001OOZ1X2', 4.442217527144297),\n",
       "              ('B0018RUCJ8', 4.400940099181718),\n",
       "              ('B001F51G16', 4.400700435810213),\n",
       "              ('B000089GN3', 4.396768177958704),\n",
       "              ('B004HIN7SI', 4.310274986993333)],\n",
       "             'A2XXBZPQT5EXHV': [('B001UI2FPE', 5.11968097173053),\n",
       "              ('B001TH7GSW', 4.984630542232621),\n",
       "              ('B004W2JKWG', 4.959809475453949),\n",
       "              ('B002JQNXZC', 4.9337669582762285),\n",
       "              ('B00483WRZ6', 4.8528081803740255)],\n",
       "             'A3NEAETOSXDBOM': [('B0019EHU8G', 5.055714776376114),\n",
       "              ('B001TH7GUK', 4.883714708596638),\n",
       "              ('B005KQ2O26', 4.827957005945068),\n",
       "              ('B001MSVPM6', 4.824214983088466),\n",
       "              ('B0054JJ0QW', 4.788764953122679)],\n",
       "             'A2TMFC9O3ZCNKE': [('B007WTAJTO', 4.322678416256395),\n",
       "              ('B00JDAIMQ2', 4.14582611460376),\n",
       "              ('B000J38QBS', 4.141474875514174),\n",
       "              ('B005HMKKH4', 4.140639531534624),\n",
       "              ('B006YSKIBS', 3.910547093054188)],\n",
       "             'A4U27URFECK1U': [('B004CLYEDC', 4.658498513904853),\n",
       "              ('B00834SJSK', 4.5417271002981945),\n",
       "              ('B0097FZRYI', 4.527406215171141),\n",
       "              ('B000A0CV9S', 4.473383688391234),\n",
       "              ('B0042FZ50O', 4.396046766838162)],\n",
       "             'A2NX6MFZP8TM6S': [('B003WUBIZQ', 4.748460511006216),\n",
       "              ('B007R5YDYA', 4.7419650154447535),\n",
       "              ('B00GK22DF2', 4.722808764509423),\n",
       "              ('B004BQTTE2', 4.6289820932400705),\n",
       "              ('B00006HSML', 4.576331996590478)],\n",
       "             'A38V76R24EJSHA': [('B000JMJWV2', 4.953147755673697),\n",
       "              ('B0010Z294O', 4.809787678748568),\n",
       "              ('B00A311LUE', 4.687904120935856),\n",
       "              ('B0033Y89K8', 4.581535602413751),\n",
       "              ('B005OP1FI2', 4.581535602413751)],\n",
       "             'A1WUQF5HWBAQJU': [('B008RM235I', 4.8209055002065515),\n",
       "              ('B003I4FHNA', 4.748841116785384),\n",
       "              ('B004J3ZV62', 4.706223292334101),\n",
       "              ('B00G4UQ6U8', 4.690016361120435),\n",
       "              ('B00GTGETFG', 4.645365232838126)],\n",
       "             'A2ARDVMUGDFED6': [('B001M4HXB2', 4.663959960171718),\n",
       "              ('B003ES5ZR8', 4.637182803590643),\n",
       "              ('B003BLQHN4', 4.57897174926887),\n",
       "              ('B000VUIXOO', 4.548603951277125),\n",
       "              ('B001E1Y5O6', 4.522699272290095)],\n",
       "             'A1HBI9BBQIG1NH': [('B003L1ZYZ6', 4.793113622141282),\n",
       "              ('B004CLYEFK', 4.62085454077639),\n",
       "              ('B00ATM1MHO', 4.601692956768403),\n",
       "              ('B006K552SE', 4.451554201030659),\n",
       "              ('B007ZW7YJQ', 4.3083709293237495)],\n",
       "             'A2W9GX82SLKROQ': [('B001TH7T2U', 4.5591156144976805),\n",
       "              ('B00007GQLS', 4.520677979170581),\n",
       "              ('B00004XOM3', 4.423790522765295),\n",
       "              ('B00BUJBHGG', 4.355211158355173),\n",
       "              ('B004Q3R9AQ', 4.338198185996403)],\n",
       "             'AH3LF9RAD1O2V': [('B002AJMHMI', 5.111352732950279),\n",
       "              ('B00834SJSK', 4.985091612537093),\n",
       "              ('B00160MV8W', 4.857185674404574),\n",
       "              ('B003HNS6S0', 4.824271327782139),\n",
       "              ('B00007E7JU', 4.822834563053281)],\n",
       "             'AAR7CEPXYJA0T': [('B001AGM2VI', 4.173232295293393),\n",
       "              ('B002QEBMAK', 4.01285062589208),\n",
       "              ('B0012W7HQK', 4.012465482375679),\n",
       "              ('B001ILDOVW', 3.97595719003005),\n",
       "              ('B003BYRMGC', 3.972673323213431)],\n",
       "             'A1C47ROOK7BSVL': [('B002V88HFE', 3.6994142179301575),\n",
       "              ('B006EKIQYM', 3.559831932095717),\n",
       "              ('B0035ERKYW', 3.511199942395676),\n",
       "              ('B0028Y4DAO', 3.5032403129929506),\n",
       "              ('B001CIREXA', 3.3377879246689774)],\n",
       "             'A1H0D7635GEEJ1': [('B001P05NBA', 4.580665421121089),\n",
       "              ('B001F8SCRE', 4.37337525649367),\n",
       "              ('B001RNPD2O', 4.311212771437845),\n",
       "              ('B00DJS830Y', 4.2607070633166675),\n",
       "              ('B0058PL9RA', 4.259172321589911)],\n",
       "             'A3BI8BKIHESDNQ': [('B00005U21H', 4.886896167342844),\n",
       "              ('B005EZTUMU', 4.802607186790768),\n",
       "              ('B0041NFIBS', 4.722095964735201),\n",
       "              ('B000233WJ6', 4.7192732350909745),\n",
       "              ('B003ILIFEG', 4.67645589522329)],\n",
       "             'A3S3VSXEFXBMRC': [('B001TH7GUU', 4.776456886850441),\n",
       "              ('B000MX48VM', 4.58545727907178),\n",
       "              ('B003PHJJV6', 4.464037949352347),\n",
       "              ('B00E362W9O', 4.386734178707686),\n",
       "              ('B002N3DIC4', 4.382150133000819)],\n",
       "             'A2503LT8PZIHAD': [('B002V8C3W2', 4.847216689665389),\n",
       "              ('B003L1ZYZ6', 4.734421198350596),\n",
       "              ('B00829TIEK', 4.425210941326614),\n",
       "              ('B001F7AHXW', 4.391158138395242),\n",
       "              ('B0044XU43C', 4.334908397173293)],\n",
       "             'A3EQQHWJ1EEYEU': [('B005HXFARS', 4.842929304500539),\n",
       "              ('B005H3I38G', 4.825204356169868),\n",
       "              ('B00551XMWC', 4.689879636743958),\n",
       "              ('B002IWP87S', 4.65608273708848),\n",
       "              ('B003ES5ZSW', 4.630981579190855)],\n",
       "             'A353U0L2HAMSHV': [('B008X9Z44M', 4.443705989460587),\n",
       "              ('B000UHQVOW', 4.427314708092953),\n",
       "              ('B000M4XMGI', 4.38711949661752),\n",
       "              ('B0043M668G', 4.370879017330764),\n",
       "              ('B000S5Q9CA', 4.357027191547321)],\n",
       "             'A2WLNSZ9U0T1S3': [('B003ES5ZUU', 4.9614304683716615),\n",
       "              ('B001UI2FPE', 4.953267517667339),\n",
       "              ('B000F7QRTG', 4.885198720259415),\n",
       "              ('B0012Y2LLE', 4.859599244944852),\n",
       "              ('B001P05NBA', 4.823948779885623)],\n",
       "             'A23GFTVIETX7DS': [('B00IX2VGFA', 4.786768323205291),\n",
       "              ('B000RZQZM0', 4.760015443586553),\n",
       "              ('B006FLENJC', 4.648171318203005),\n",
       "              ('B004I5FL1G', 4.643488620342293),\n",
       "              ('B009SYZ8OC', 4.628740298163535)],\n",
       "             'A3F8T3BRXRX5P3': [('B001T9NUJE', 4.525147435516969),\n",
       "              ('B000M17AVO', 4.462033306243799),\n",
       "              ('B000JMJWV2', 4.428767468198315),\n",
       "              ('B0058UUR6E', 4.426672390988471),\n",
       "              ('B001PS9E5I', 4.37985458297703)],\n",
       "             'A3LSEIG2PIJYBL': [('B001MT8J4W', 4.530857792020453),\n",
       "              ('B003LPUWT0', 4.521200146137927),\n",
       "              ('B009D79VH4', 4.513372169072972),\n",
       "              ('B0040RDT0M', 4.339830909216658),\n",
       "              ('B000O6WXZK', 4.268322079927241)],\n",
       "             'APOGXH3A74CM3': [('B005IHAIDO', 5.02067877434312),\n",
       "              ('B001KJ91V4', 4.934440064087412),\n",
       "              ('B00006B7DA', 4.933000849453111),\n",
       "              ('B0000ALX5R', 4.931929108051526),\n",
       "              ('B000068BRE', 4.884985770470861)],\n",
       "             'A2QRXQPHDMFCQV': [('B001UI2FPE', 4.013494024849014),\n",
       "              ('B004CLYEDC', 3.896641990112062),\n",
       "              ('B0035JJOLE', 3.7810549459597063),\n",
       "              ('B005CWHZP4', 3.7425857490334504),\n",
       "              ('B000JJSQ30', 3.652839802301874)],\n",
       "             'AG2YXYIQ8TLTA': [('B000N99BBC', 4.673903309280441),\n",
       "              ('B00CMJZAOI', 4.566738518608038),\n",
       "              ('B007R5YDYA', 4.522288671209232),\n",
       "              ('B008PQAFR4', 4.429164705199955),\n",
       "              ('B007OY5V68', 4.347467392427757)],\n",
       "             'A1VLVWTLV3LVHR': [('B0040702HA', 4.365133609260625),\n",
       "              ('B0039NLS7Y', 4.250104319958949),\n",
       "              ('B005G5EAGE', 4.248940400902587),\n",
       "              ('B0019U680G', 4.248940400902587),\n",
       "              ('B0017QVS0C', 4.248940400902587)],\n",
       "             'A2MCRCK1V61FWQ': [('B004MYFOE2', 5.094914076463548),\n",
       "              ('B000051SGX', 4.804775132644497),\n",
       "              ('B000MGG6SC', 4.776599102506923),\n",
       "              ('B00001WRSJ', 4.767639593992784),\n",
       "              ('B009W8YQ6K', 4.726853847495657)],\n",
       "             'A2ZFBTGPDP6PH6': [('B001TH7GUU', 4.786482462258197),\n",
       "              ('B000EVSLRO', 4.4444107949784994),\n",
       "              ('B000JLKIHA', 4.412493426658158),\n",
       "              ('B0011YZJPA', 4.329079531259881),\n",
       "              ('B002HJ9PTO', 4.2778015387528106)],\n",
       "             'A2XCCN239AR1XK': [('B008LTBITY', 4.856588433185968),\n",
       "              ('B00829THO6', 4.78994373287862),\n",
       "              ('B0045XV2CI', 4.771650978347986),\n",
       "              ('B00HVT27B8', 4.771219519341215),\n",
       "              ('B003PL0AME', 4.740367043555215)],\n",
       "             'A3QU3O79AGNWCY': [('B001IEZX3G', 4.862145909457971),\n",
       "              ('B009CN8VNY', 4.794460930219008),\n",
       "              ('B001KC08A4', 4.77445080307292),\n",
       "              ('B003ZKG10K', 4.704097150788374),\n",
       "              ('B002DW99H8', 4.653951819267594)],\n",
       "             'A2EMUM49CE0JV4': [('B000QUUFRW', 5.041357751280344),\n",
       "              ('B0002J2P2A', 5.001331582839614),\n",
       "              ('B000NB05MO', 4.822955731952684),\n",
       "              ('B004S6315S', 4.7420934716996985),\n",
       "              ('B000Q85WNQ', 4.63549778793974)],\n",
       "             'A1X2LENOF84LCQ': [('B00HZR4DNG', 4.126477528078197),\n",
       "              ('B002MPPHKY', 4.074731202061268),\n",
       "              ('B000CBG0XI', 3.956472066411205),\n",
       "              ('B00829THEG', 3.9479928688111836),\n",
       "              ('B0055QZ216', 3.9141121785614827)],\n",
       "             'A3L9E0YI7C5G0W': [('B001TH7GUU', 4.780245215382868),\n",
       "              ('B001QATRCA', 4.675053566966589),\n",
       "              ('B00081A2DQ', 4.581831638009113),\n",
       "              ('B00DK2JQOQ', 4.566161211034376),\n",
       "              ('B00AANMVNQ', 4.548995755204058)],\n",
       "             'AMWL7XIWIPXEZ': [('B004FA8NOQ', 4.243489982517693),\n",
       "              ('B002G1YPH0', 4.173441525158617),\n",
       "              ('B001X017G2', 4.04627531975994),\n",
       "              ('B00GJ7Y7MU', 4.003306144944205),\n",
       "              ('B004NP1E9E', 3.9874983806584856)],\n",
       "             'A30C8WHQ2CYFO4': [('B000053HC5', 4.315368022043102),\n",
       "              ('B007RZB3KM', 4.313259028856325),\n",
       "              ('B0000501T1', 4.1640475877175485),\n",
       "              ('B000GPHQWO', 4.056690498518694),\n",
       "              ('B0020OVFJO', 3.9732890844787043)],\n",
       "             'A2XHOLOLKGV1FE': [('B0001GMIOE', 3.659840796708105),\n",
       "              ('B000NDA5E0', 3.62585046848751),\n",
       "              ('B00429N18S', 3.597889255323074),\n",
       "              ('B001F7AHOG', 3.5813712275427667),\n",
       "              ('B004YLCN1U', 3.484099270758463)],\n",
       "             'A19RGDJPNZ7NZ': [('B000FFF4NS', 4.653169024070779),\n",
       "              ('B006EKIQYM', 4.586974228877476),\n",
       "              ('B0049SCB2Y', 4.574225310231542),\n",
       "              ('B0043WJRRS', 4.541269155788979),\n",
       "              ('B00E8CF0CE', 4.495428248594557)],\n",
       "             'A35KBAQ4VBNQ6L': [('B001C271MA', 4.864193093714398),\n",
       "              ('B0007Y794O', 4.667867616602084),\n",
       "              ('B001TZUS98', 4.6453833230164685),\n",
       "              ('B006R38IJY', 4.614982094337422),\n",
       "              ('B001TZWFBM', 4.582204316395494)],\n",
       "             'A2HPJKM7L4EOQB': [('B00007KDVK', 4.577124908668639),\n",
       "              ('B00005Y1S2', 4.570330043164763),\n",
       "              ('B000A7XSSY', 4.499201476062857),\n",
       "              ('B0001G6UB6', 4.496107174050655),\n",
       "              ('B000P0M9AO', 4.429721666533042)],\n",
       "             'AD9ZL63H0VKCZ': [('B002ZIMEMW', 4.4558257480281664),\n",
       "              ('B003CK10DG', 4.3584341836793765),\n",
       "              ('B00APQA572', 4.346428632041192),\n",
       "              ('B0031CS83U', 4.268195029898203),\n",
       "              ('B009PBUK9Q', 4.245730096698247)],\n",
       "             'A15J9K7O10A3M6': [('B0025VKUQQ', 4.475470198831671),\n",
       "              ('B0041MY32Y', 4.462995782148572),\n",
       "              ('B005LFT3GG', 4.4126492769956025),\n",
       "              ('B0053G6G54', 4.39242782187326),\n",
       "              ('B007IV7KRU', 4.367714146422993)],\n",
       "             'ABH9D1TEOJ56E': [('B00008I9K8', 4.46848693071808),\n",
       "              ('B000087BX8', 4.301259971738178),\n",
       "              ('B0000DJYEO', 4.295639342873466),\n",
       "              ('B00009Q96Z', 4.279567138889498),\n",
       "              ('B00008IHU2', 4.198250760307435)],\n",
       "             'A3SMD3T0QTN109': [('B001UI2FPE', 4.8361572459587325),\n",
       "              ('B000VX6XL6', 4.7017059531076),\n",
       "              ('B00DLKE7OQ', 4.581870902956091),\n",
       "              ('B00IVPU5BK', 4.557151334153793),\n",
       "              ('B00JEVHZHC', 4.554829936224576)],\n",
       "             'A1ODOGXEYECQQ8': [('B002V88HFE', 4.753453301971624),\n",
       "              ('B001TUYTZM', 4.736645599861165),\n",
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       "             'A3IJL9A50KVVZ1': [('B002NEGTTW', 4.930398835200636),\n",
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       "              ('B002NEGTTW', 4.701473109397939),\n",
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       "              ('B000WQ19HU', 4.708833539049889),\n",
       "              ('B001GTT0VO', 4.676877878435139)],\n",
       "             'A1QNYLBG73QRNF': [('B000N99BBC', 4.690435990416289),\n",
       "              ('B000MX48VM', 4.504397899433383),\n",
       "              ('B000EW9Y4M', 4.502347031478247),\n",
       "              ('B00475K64E', 4.491151658937772),\n",
       "              ('B000053HC5', 4.489471718653384)],\n",
       "             'A12O5SEIF162P8': [('B00466X9SY', 4.843708813652287),\n",
       "              ('B0034CL2ZI', 4.824400827447315),\n",
       "              ('B000XUMR6C', 4.788154946631947),\n",
       "              ('B00HV6KGNM', 4.762360397122532),\n",
       "              ('B008O8EGOQ', 4.6972794226771)],\n",
       "             'A2FRKEXDXDN1KI': [('B0034CL2ZI', 4.799826102325525),\n",
       "              ('B008LTBITY', 4.771064492330251),\n",
       "              ('B004CLYEFK', 4.768227391233456),\n",
       "              ('B00JC5Y6WM', 4.680937702935364),\n",
       "              ('B001O94GNS', 4.670504218925947)],\n",
       "             'A1EXGL6L0QQ0M5': [('B0055QYJIS', 4.70099582461921),\n",
       "              ('B0034CL2ZI', 4.686913728236097),\n",
       "              ('B00DCM0DUU', 4.653777356675085),\n",
       "              ('B003Z4G3I6', 4.644741337675882),\n",
       "              ('B00ATM1MHO', 4.636153433136039)],\n",
       "             'AFM2J3HJNPIHV': [('B0019EHU8G', 4.551698062636319),\n",
       "              ('B001T9NUJE', 4.462287862535163),\n",
       "              ('B007WTAJTO', 4.40642706515877),\n",
       "              ('B000067SGI', 4.339982846900927),\n",
       "              ('B0015EA3NO', 4.264018881141556)],\n",
       "             'AAW7X3GRD8GY9': [('B000M2TAN4', 5.055987706480382),\n",
       "              ('B009NB8WR0', 5.051333137890412),\n",
       "              ('B00BQ4F9ZA', 5.050179442665515),\n",
       "              ('B003X7TRWE', 4.819194592011962),\n",
       "              ('B0054JJ0QW', 4.7610709365272035)],\n",
       "             'A2L36AGL8CKY3D': [('B002WE6D44', 5.03728145769709),\n",
       "              ('B000068O16', 4.93539852343412),\n",
       "              ('B001MXLD4G', 4.813236407310701),\n",
       "              ('B000V7H1HC', 4.75277528684712),\n",
       "              ('B0056TYRMW', 4.702874830244007)],\n",
       "             'ADZF3QDGSZE7K': [('B0076W9Q5A', 4.538759312691173),\n",
       "              ('B007P8CWGU', 4.409406349359983),\n",
       "              ('B00A2BVBTG', 4.373566040367919),\n",
       "              ('B009WHV3XA', 4.342980840125982),\n",
       "              ('B002NEGTTM', 4.264793283229771)],\n",
       "             'AKBVYIIHWI04B': [('B000N99BBC', 5.096476167695803),\n",
       "              ('B00007IFED', 5.014248285273205),\n",
       "              ('B00D18U63O', 4.79647043966322),\n",
       "              ('B002A6G3V2', 4.790018747852578),\n",
       "              ('B009BAV266', 4.623896437318825)],\n",
       "             'A2OS3TIVAKUAHG': [('B0041NFIBS', 4.336575322582716),\n",
       "              ('B00024ENES', 4.245451855843738),\n",
       "              ('B002TKS0S8', 4.224853780744008),\n",
       "              ('B00BQ5RY1G', 4.15313004728565),\n",
       "              ('B00G5RDU5O', 4.135134697708359)],\n",
       "             'ANXEW7IDYDJEH': [('B006W8U2MU', 4.904884662839535),\n",
       "              ('B001M4HXB2', 4.891125247977901),\n",
       "              ('B00BERGFV6', 4.836815054290792),\n",
       "              ('B004W2JKWG', 4.8332052612013845),\n",
       "              ('B000F2BLTC', 4.661835844693931)],\n",
       "             'A1FOSIV4TWZFR7': [('B005HXFARS', 4.587094550590265),\n",
       "              ('B00E98O7GC', 4.461258590488422),\n",
       "              ('B008R79VMQ', 4.458049059424755),\n",
       "              ('B003ZBZ64Q', 4.407374471510539),\n",
       "              ('B004XIT4NO', 4.348766168375667)],\n",
       "             'A212MDP6K4VJS5': [('B001F7AHXM', 4.96047322473278),\n",
       "              ('B002NU5UW8', 4.806101638384716),\n",
       "              ('B000HGIWN4', 4.752799637511164),\n",
       "              ('B005VO7LG6', 4.682800152803904),\n",
       "              ('B0009GZAGO', 4.648698139127596)],\n",
       "             'ADKZOXAOV8EXD': [('B000JMJWV2', 4.394976488900637),\n",
       "              ('B0017H4G0A', 4.391842019090623),\n",
       "              ('B00A2BVBTG', 4.3096266530137335),\n",
       "              ('B00HFRWWAM', 4.275348946427064),\n",
       "              ('B0001FI49I', 4.18470626231762)],\n",
       "             'A1V3TRGWOMA8LC': [('B00HG1L334', 4.7121912833876625),\n",
       "              ('B002Y6CJJ8', 4.706851013344155),\n",
       "              ('B0082E9K7U', 4.654151466198874),\n",
       "              ('B00DLKE8C2', 4.639987900747927),\n",
       "              ('B002TLTE6Y', 4.5924690396845245)],\n",
       "             'A3HXGSMCIOZEW8': [('B0053OLY9O', 4.600030906681784),\n",
       "              ('B002BH3Z8E', 4.598505566714456),\n",
       "              ('B003WV5DJC', 4.594685635734849),\n",
       "              ('B003SX0OR0', 4.5434345384241555),\n",
       "              ('B003VTZFN4', 4.480491876717163)],\n",
       "             'A34CSXOGVYF94S': [('B00CMJZAOI', 4.737560233681768),\n",
       "              ('B00FJRS5BA', 4.694302439730118),\n",
       "              ('B0034CL2ZI', 4.66505582970517),\n",
       "              ('B00G4UQ6U8', 4.658238773771737),\n",
       "              ('B001F51G16', 4.619064647581807)],\n",
       "             'AD0J5KK4WQXNS': [('B00081A2KY', 5.009318925443799),\n",
       "              ('B00006B9H8', 4.983159492972269),\n",
       "              ('B000TXEE14', 4.904873021122655),\n",
       "              ('B0002ZAIMI', 4.874977123229159),\n",
       "              ('B0000AINEO', 4.658640857582154)],\n",
       "             'A2HBOG4LVIY15L': [('B001QUA6RA', 4.911147815551593),\n",
       "              ('B002WE6D44', 4.82152482845553),\n",
       "              ('B005JN9310', 4.765394410451448),\n",
       "              ('B003F69JBW', 4.645967514340036),\n",
       "              ('B005J7YA4G', 4.636402028005369)],\n",
       "             'A5Q1FK0FWU7DH': [('B00829TIA4', 4.462318947683757),\n",
       "              ('B0010Z294O', 4.380813322097168),\n",
       "              ('B001TOD7ME', 4.379546840588551),\n",
       "              ('B000LRMS66', 4.379520853407912),\n",
       "              ('B00EJ8CQSS', 4.337327967136635)],\n",
       "             'A3A4ZAIBQWKOZS': [('B0000BZL1P', 5.1868087996211125),\n",
       "              ('B00017LSPI', 5.154944575169251),\n",
       "              ('B0033PRWSW', 5.148778480739173),\n",
       "              ('B0029N3U8K', 5.083332025894406),\n",
       "              ('B00G6IJ5NI', 5.058315787710367)],\n",
       "             'A1TDR7Y90SVCHL': [('B001TH7T2U', 4.695493730027536),\n",
       "              ('B002WE6D44', 4.612037556795297),\n",
       "              ('B001RB1TIS', 4.5432378937844655),\n",
       "              ('B002YU83YO', 4.536401442075106),\n",
       "              ('B000F9YN22', 4.510764125739183)],\n",
       "             'A3VTOLNB5N6FVP': [('B00546JKJC', 4.74944012126998),\n",
       "              ('B00BXF5FU6', 4.682667684259964),\n",
       "              ('B00EOE4G4E', 4.665796404161165),\n",
       "              ('B006OOKT3Y', 4.635582584542137),\n",
       "              ('B0009U7XH4', 4.556243671191249)],\n",
       "             'A3NCIN6TNL0MGA': [('B000Q5APCC', 4.737815817102248),\n",
       "              ('B00000DM9W', 4.670391882498421),\n",
       "              ('B0001FTVDQ', 4.655864974689266),\n",
       "              ('B003VANOI6', 4.641506724534423),\n",
       "              ('B000OFSN4G', 4.557936610958062)],\n",
       "             'A1NAA1R38JSNHV': [('B0034JLTNG', 4.685341168311514),\n",
       "              ('B00264NZWS', 4.6178792184988735),\n",
       "              ('B0042X8NT6', 4.596451951990726),\n",
       "              ('B0002V85OU', 4.58786159091425),\n",
       "              ('B002HREGRM', 4.546043101956578)],\n",
       "             'A1N3EH28S4DI8L': [('B0000BZL1P', 4.496219003784949),\n",
       "              ('B000I1X3W8', 4.353897687274136),\n",
       "              ('B00DMS0GTC', 4.339735943366243),\n",
       "              ('B00894YP00', 4.185602453467554),\n",
       "              ('B000NP46K2', 4.17408392695881)],\n",
       "             'AKT8TGIT6VVZ5': [('B00009XVCZ', 5.342001330077569),\n",
       "              ('B00006I53X', 5.318298303481897),\n",
       "              ('B000BY52NK', 5.207967027932421),\n",
       "              ('B00004XOM3', 5.203372096297873),\n",
       "              ('B000M2GYF6', 5.048021461886553)],\n",
       "             'A34CKIMZ969UW7': [('B002V8C3W2', 4.994544942508409),\n",
       "              ('B001BTCSI6', 4.776654827820031),\n",
       "              ('B00005NPWK', 4.716369481065101),\n",
       "              ('B008I646WG', 4.56317802495618),\n",
       "              ('B004JHY3X0', 4.490148826317447)],\n",
       "             'A3IK2VCQ007CJ': [('B00BQ4F9ZA', 4.937478519963755),\n",
       "              ('B001FA1NK0', 4.429624064942086),\n",
       "              ('B009K916ZK', 4.373850791865825),\n",
       "              ('B0074FGSBY', 4.357917516399123),\n",
       "              ('B00I58C7NC', 4.357917516399123)],\n",
       "             'A3B20R4ZAH0Y2Y': [('B00BOHNYU6', 4.796082702587032),\n",
       "              ('B00DR6DQZA', 4.747043303052214),\n",
       "              ('B001XURPQI', 4.746284154279147),\n",
       "              ('B002ZLOR38', 4.638047386240527),\n",
       "              ('B00E98O7GC', 4.514740109794163)],\n",
       "             'AZ8XSDMIX04VJ': [('B000QUUFRW', 5.173949461382903),\n",
       "              ('B0047T79M2', 4.968523460355032),\n",
       "              ('B001MXLD4G', 4.924842535502587),\n",
       "              ('B005DZJGI4', 4.80378408119046),\n",
       "              ('B002MWNT84', 4.763845343114052)],\n",
       "             'A1HSM98KUGTHNY': [('B000068O16', 4.389388812929456),\n",
       "              ('B00894YP00', 4.264137679786751),\n",
       "              ('B003GTSHY8', 4.213677568228507),\n",
       "              ('B004LEAYXY', 4.108743323916045),\n",
       "              ('B008MTN9MM', 4.060575054452042)],\n",
       "             'A3J8A5L5AF5TX9': [('B000067RC4', 4.334743771407701),\n",
       "              ('B001TH7GSW', 4.308378985463039),\n",
       "              ('B007WTAJTO', 4.295523753106657),\n",
       "              ('B001KC08A4', 4.225828471224865),\n",
       "              ('B0002L5R78', 4.194830198286555)],\n",
       "             'A24P4E3RJ6AX94': [('B002V88HFE', 4.888045997644285),\n",
       "              ('B007WTAJTO', 4.84861442367664),\n",
       "              ('B00GTGETFG', 4.748388930936993),\n",
       "              ('B007NZGPAY', 4.74087588006935),\n",
       "              ('B0075SUK14', 4.658307767007112)],\n",
       "             'A3Q1J68QY1MZQ9': [('B0055CAR7Y', 4.628714924566854),\n",
       "              ('B000136P8W', 4.547654538980443),\n",
       "              ('B002TLTE6Y', 4.468438727843126),\n",
       "              ('B00DW9U3B2', 4.437961788087504),\n",
       "              ('B000F34FVM', 4.340740712974965)],\n",
       "             'A1PAGHECG401K1': [('B0039BPG4M', 4.5531675475119675),\n",
       "              ('B00000K3RK', 4.539349264972034),\n",
       "              ('B00IPNQ3R8', 4.481512732958365),\n",
       "              ('B000MVJ1M0', 4.387331320789369),\n",
       "              ('B0016231VQ', 4.372809710778677)],\n",
       "             'A13WREJ05GMRA6': [('B000MX48VM', 4.162790393022509),\n",
       "              ('B009F1DYF8', 4.000803552541828),\n",
       "              ('B008G9V60K', 3.9832821650422248),\n",
       "              ('B004J6BIJ8', 3.932773319935499),\n",
       "              ('B004WO8HQ4', 3.9164418121174682)],\n",
       "             'AKSQNMIKOU01H': [('B0019CSVMW', 4.4557955693390054),\n",
       "              ('B005ZLOW8K', 4.372842483287138),\n",
       "              ('B0039VYN1Y', 4.3279836061662555),\n",
       "              ('B001A1POL8', 4.314877685560755),\n",
       "              ('B000UMX7FI', 4.294005032451134)],\n",
       "             'A18YMFFJW974QS': [('B001T9NUJE', 4.716086672030605),\n",
       "              ('B00CSDMWGW', 4.617810787259577),\n",
       "              ('B00E8CF0CE', 4.468529182504498),\n",
       "              ('B000V9USBG', 4.3499558206972),\n",
       "              ('B00FNRC9UE', 4.302415245872717)],\n",
       "             'A3PGVJF37JSHFO': [('B000QUUFRW', 4.333194288620814),\n",
       "              ('B00029U1DK', 4.314205392665097),\n",
       "              ('B005LDLP8W', 4.299341233836982),\n",
       "              ('B005JN9310', 4.2520019951228045),\n",
       "              ('B007WTAJTO', 4.250577129509529)],\n",
       "             'A3QQGPI3CTV9SX': [('B00005LEN4', 5.091503752679166),\n",
       "              ('B000094Q77', 5.016734364795662),\n",
       "              ('B00006HOAQ', 4.9641541871631905),\n",
       "              ('B00113V748', 4.932669769435147),\n",
       "              ('B000FKQ8LA', 4.872483158685458)],\n",
       "             'A3V8P0O224OBDB': [('B0002L5R78', 4.8497271731894225),\n",
       "              ('B00DBA9YD0', 4.742885380549337),\n",
       "              ('B002EVP85K', 4.659309439020979),\n",
       "              ('B00000JDF5', 4.647448963117861),\n",
       "              ('B005DIH1IS', 4.575100997089518)],\n",
       "             'AQIJ3ZEEVCIKU': [('B003CFATT2', 4.758531081713547),\n",
       "              ('B00FZ9SMVU', 4.735611254303263),\n",
       "              ('B000HPV3RW', 4.730363008929449),\n",
       "              ('B000IJY8DS', 4.706791987916188),\n",
       "              ('B00BOHNYTW', 4.6768342299186045)],\n",
       "             'A2Z2MUP8JRJXEU': [('B00009XVCZ', 5.100469719594994),\n",
       "              ('B00BXA7N6A', 4.923975686553624),\n",
       "              ('B000JMJWV2', 4.915634950755825),\n",
       "              ('B00139VKU6', 4.865088390023053),\n",
       "              ('B000ID7QNI', 4.8107921549905095)],\n",
       "             'A3K91X9X2ARDOK': [('B0010Z28XG', 4.64055453160022),\n",
       "              ('B00DRA4B6Y', 4.568159070575521),\n",
       "              ('B0012IJYZ6', 4.466267560700093),\n",
       "              ('B0015AARJI', 4.358987254248746),\n",
       "              ('B00GY0UFFA', 4.336732532273701)],\n",
       "             'AVFJ327UXPXLF': [('B000FQ2JLW', 4.788880933980763),\n",
       "              ('B004N3BH0C', 4.477759886959588),\n",
       "              ('B002MCZJ78', 4.454805551476509),\n",
       "              ('B001TK3E44', 4.4097261747041925),\n",
       "              ('B00ARN3PSE', 4.409351706184027)],\n",
       "             'A2WYF4POBUXL2O': [('B0007VPFI4', 4.405246238509217),\n",
       "              ('B005RI4PGK', 4.3773121395716625),\n",
       "              ('B0000BZLBA', 4.3662425693888745),\n",
       "              ('B000GHXMO8', 4.327115482662973),\n",
       "              ('B000EW1LLG', 4.300971921643594)],\n",
       "             'A10Y058K7B96C6': [('B001QUA6RA', 4.988061346728802),\n",
       "              ('B001I45T9O', 4.915403344894156),\n",
       "              ('B003CFATT2', 4.889009417665311),\n",
       "              ('B004CLYEDC', 4.87193670313272),\n",
       "              ('B000AAN76Y', 4.7986731043518915)],\n",
       "             'AAA0TUKS5VBSA': [('B00FJRS5BA', 4.65543904963013),\n",
       "              ('B00E0HITQ6', 4.638830504733872),\n",
       "              ('B0082E9K7U', 4.6374160973851115),\n",
       "              ('B0034CL2ZI', 4.626192439605182),\n",
       "              ('B00CHH0JF0', 4.5808179412236685)],\n",
       "             'A1OES7R7FDAT2L': [('B0000X0VCY', 4.818377250528417),\n",
       "              ('B0002L5R78', 4.672518052886781),\n",
       "              ('B00006B7DA', 4.635140426908942),\n",
       "              ('B0006U3ACY', 4.593999188425747),\n",
       "              ('B00066FH1U', 4.575800767440247)],\n",
       "             'A1VLE2SH9J8WYS': [('B001TH7GUU', 4.879076911230348),\n",
       "              ('B0034CL2ZI', 4.694446199785592),\n",
       "              ('B0041Q38NU', 4.450149655251391),\n",
       "              ('B000RQSGYO', 4.406614013416851),\n",
       "              ('B001QBG614', 4.3647215537715764)],\n",
       "             'A2ZDY0V4Q1SZD7': [('B003ES5ZUU', 4.868818504363041),\n",
       "              ('B001TH7GUU', 4.848623294725277),\n",
       "              ('B008AST7R6', 4.730650552659334),\n",
       "              ('B000067RT6', 4.656802418140502),\n",
       "              ('B00834SJNA', 4.541942595014822)],\n",
       "             'A38C12950IM24P': [('B00DTZYHX4', 5.037330713632887),\n",
       "              ('B00A35WYBA', 4.902917200865163),\n",
       "              ('B00GN6PPXW', 4.852410803477763),\n",
       "              ('B00BCGRTFK', 4.812012706997354),\n",
       "              ('B00EQD5ZS4', 4.803107880763928)],\n",
       "             'A34LQ791ACZ0JC': [('B003HFCDLY', 4.8853256920770365),\n",
       "              ('B001AI6CNK', 4.735039198839755),\n",
       "              ('B005LJQO9G', 4.7096601370735),\n",
       "              ('B000O8JZIG', 4.669815759056055),\n",
       "              ('B00001WRSJ', 4.658968545037735)],\n",
       "             'A1MZL91Z44RN06': [('B0002J2P2A', 4.958713539610171),\n",
       "              ('B004CLYEDC', 4.947176176056956),\n",
       "              ('B00BOHNYU6', 4.911292293796083),\n",
       "              ('B0074FGLUM', 4.900527853487197),\n",
       "              ('B009NHWVIA', 4.859520389219161)],\n",
       "             'A74UT8IQCM0I2': [('B006U3O566', 4.887213350658602),\n",
       "              ('B00DKBU5W4', 4.821838121274669),\n",
       "              ('B003VANO7C', 4.759919992833981),\n",
       "              ('B00E055H5O', 4.7356017151270136),\n",
       "              ('B0015A8Y5M', 4.712762296699767)],\n",
       "             'A1S27P7KJO9I96': [('B001BM5XB2', 4.761697258506127),\n",
       "              ('B004CLYECS', 4.569732757516599),\n",
       "              ('B009A6CZ30', 4.472146382068353),\n",
       "              ('B00829TIEK', 4.466942961891824),\n",
       "              ('B00AWRPIWQ', 4.4099897278202445)],\n",
       "             'A2ED50E3KWKUKW': [('B00017LSPI', 5.092479369264823),\n",
       "              ('B001QATRCA', 5.013987581692176),\n",
       "              ('B00004XOM3', 4.988992192304817),\n",
       "              ('B000089GN3', 4.884625078688826),\n",
       "              ('B0015VW3BM', 4.882303207255319)],\n",
       "             'A3F9CMU8KNAY1M': [('B005J31BCY', 4.599906052222579),\n",
       "              ('B008MF3X9K', 4.539854952884094),\n",
       "              ('B001F7FMUA', 4.481378010268066),\n",
       "              ('B004TLH6H6', 4.438713434754672),\n",
       "              ('B004SGJCCO', 4.418939864141389)],\n",
       "             'A1PS4OYWUB0VX': [('B003NR57BY', 4.63692687032157),\n",
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       "              ('B002RM08RE', 4.0787388170814864),\n",
       "              ('B006JINHYS', 4.058326438233349),\n",
       "              ('B00000J1V5', 4.002984143032863)],\n",
       "             'A35Q0RBM3YNQNF': [('B00310PJM0', 4.962230615377451),\n",
       "              ('B00DQKQ7U8', 4.956083414463677),\n",
       "              ('B00G4UQ6U8', 4.951111270606677),\n",
       "              ('B00E3RH5W2', 4.931363470352489),\n",
       "              ('B00834SJSK', 4.920967848574697)],\n",
       "             'A14I1F2H7NOYDC': [('B00029U1DK', 4.821580839885772),\n",
       "              ('B000BQ7GW8', 4.5812725173741455),\n",
       "              ('B001CHTJ8O', 4.491590523414973),\n",
       "              ('B0001LS14U', 4.424440285643864),\n",
       "              ('B000JC9I1Q', 4.345821253527996)],\n",
       "             'A2BYV7S1QP2YIG': [('B00A0JUNWQ', 4.967748245360992),\n",
       "              ('B0002WPREU', 4.9539855398807005),\n",
       "              ('B000F9YN22', 4.939527610312348),\n",
       "              ('B00G4UQ6U8', 4.927671393293766),\n",
       "              ('B00AANMVNQ', 4.887869700493145)],\n",
       "             'A2L42QEWR77PKZ': [('B001QUA6RA', 4.844157026756544),\n",
       "              ('B001MSU1FS', 4.781030970660766),\n",
       "              ('B0002D6QJO', 4.672714847643618),\n",
       "              ('B0077V88V8', 4.607098934240253),\n",
       "              ('B00CD8ADKO', 4.592473568956891)],\n",
       "             'A35X2JJI49OBZP': [('B006ZT4VA0', 4.852683217815271),\n",
       "              ('B002JCSV5I', 4.819915009479932),\n",
       "              ('B006ZBWV0K', 4.676452176991292),\n",
       "              ('B005O9YMM4', 4.67359687546501),\n",
       "              ('B001EYV9TM', 4.669055235813291)],\n",
       "             'A4GGT6O0GQNV2': [('B00D5Q75RC', 4.624572477305562),\n",
       "              ('B007R5YDYA', 4.582533950803068),\n",
       "              ('B00CD8ADKO', 4.498731515662951),\n",
       "              ('B0055P9K38', 4.471759558982878),\n",
       "              ('B009LL9VDG', 4.424960423714523)],\n",
       "             'A1PM7HH4F77NEH': [('B00080G0BK', 4.5421723281157576),\n",
       "              ('B000BVC0WO', 4.507026641330289),\n",
       "              ('B00140DBRY', 4.388691803781876),\n",
       "              ('B000A6NUU6', 4.3411499965862),\n",
       "              ('B000FYZARY', 4.327678660532516)],\n",
       "             'A2IMLOJ2Z2QEU2': [('B008EQZ25K', 4.7595068651980075),\n",
       "              ('B0002WPSBC', 4.58485995019874),\n",
       "              ('B0035FZ12O', 4.540878625362637),\n",
       "              ('B0035FZ124', 4.5297042812203),\n",
       "              ('B00AJHDZSI', 4.512303371285128)],\n",
       "             'A110VKXAVLAYKY': [('B002ZIMEMW', 4.530973644103392),\n",
       "              ('B003WPTBAK', 4.289744214445406),\n",
       "              ('B00C32SPDW', 4.260248256824304),\n",
       "              ('B007Q2Y4H0', 4.158213064629426),\n",
       "              ('B00FGVET7S', 4.158213064629426)],\n",
       "             'A2EN82VBJT44QP': [('B00017LSPI', 4.933773385121453),\n",
       "              ('B002ZIMEMW', 4.785229099315994),\n",
       "              ('B00F0DD0I6', 4.712288910430469),\n",
       "              ('B001PIBE8I', 4.703216526740237),\n",
       "              ('B002SFDJMQ', 4.677709118485965)],\n",
       "             'A1OGCPMSIVK7G4': [('B007WTAJTO', 4.557621031249605),\n",
       "              ('B004GUS4WG', 4.504758623054278),\n",
       "              ('B008HK50ZA', 4.4286968224009575),\n",
       "              ('B008NENG1A', 4.355610267072223),\n",
       "              ('B00104XCVO', 4.345523822895498)],\n",
       "             'AEAFHD09X8044': [('B008EQZ25K', 4.70647179625703),\n",
       "              ('B002IK8H0A', 4.4426176154502794),\n",
       "              ('B0001XGQTA', 4.289783000826083),\n",
       "              ('B0000C4DX5', 4.28458640947886),\n",
       "              ('B00A28P3AC', 4.225659076022576)],\n",
       "             'A1REY92IEZJUSX': [('B000V5P90K', 5.0138439938481305),\n",
       "              ('B002ZIMEMW', 4.96592811578473),\n",
       "              ('B000053HH5', 4.911684286329837),\n",
       "              ('B003FHNDF4', 4.694196733199641),\n",
       "              ('B003YVEZGM', 4.593167536310764)],\n",
       "             'A1W4F91DH3XPB2': [('B0036AWR8E', 4.5381583766100935),\n",
       "              ('B002GP7ZT6', 4.447243927791924),\n",
       "              ('B001XURPQI', 4.439517347006537),\n",
       "              ('B00C27S0M4', 4.344650589463972),\n",
       "              ('B0074BW614', 4.149765581531814)],\n",
       "             'AV9PIER7NE448': [('B000HPV3RW', 5.014593207969546),\n",
       "              ('B004YDUZ22', 4.891666229847316),\n",
       "              ('B00F0DD0I6', 4.882324006489948),\n",
       "              ('B008HD3CTI', 4.727912481749499),\n",
       "              ('B005ARQV6U', 4.725047393056925)],\n",
       "             'A3CP3J7OEGQMD5': [('B000WXSO76', 4.581397864256901),\n",
       "              ('B003U8HV4M', 4.5444105066037705),\n",
       "              ('B002SZEOLG', 4.474639129382261),\n",
       "              ('B0032GU1LW', 4.469705247760793),\n",
       "              ('B002KO63X2', 4.39626842580144)],\n",
       "             'A28UMA3GW9L124': [('B00015Y0FK', 4.169992779860684),\n",
       "              ('B00EVIBN8U', 4.138935817836383),\n",
       "              ('B000VX6XL6', 4.129633767347311),\n",
       "              ('B008JJLW4M', 4.1092582163865385),\n",
       "              ('B0002D6QJO', 4.091915489944648)],\n",
       "             'ASHJAZC9OA9NS': [('B001IEZX3G', 4.777563930472393),\n",
       "              ('B0083WYFWG', 4.562393453996625),\n",
       "              ('B002AH2AH2', 4.4712822875099985),\n",
       "              ('B0007QN18U', 4.458863420586055),\n",
       "              ('B0049XGNKK', 4.452293023793357)],\n",
       "             'A30X750M8V1XXW': [('B0000BZL1P', 4.531034588869554),\n",
       "              ('B0010Z28XG', 4.442483951285388),\n",
       "              ('B0002WPSBC', 4.411710362774624),\n",
       "              ('B001OI2YNS', 4.372658647587992),\n",
       "              ('B0007WK8KS', 4.252130129270858)],\n",
       "             'A33GNK4YENACDJ': [('B0058G40O8', 4.826641632693082),\n",
       "              ('B00B5HE3UU', 4.600918923208167),\n",
       "              ('B0078KP0SM', 4.546021762928418),\n",
       "              ('B00009R7B8', 4.4281511158963935),\n",
       "              ('B0007GIXQU', 4.4281511158963935)],\n",
       "             'A1D27BCSYV7VWH': [('B001E1Y5O6', 4.236763461294796),\n",
       "              ('B005IA843W', 4.229850278379906),\n",
       "              ('B00BCPGOD4', 4.054813240460695),\n",
       "              ('B006GTDN2G', 3.9199386736199844),\n",
       "              ('B00CRYUSR2', 3.9199386736199844)],\n",
       "             'A2LTYEYGKBYXRR': [('B00ISFNSBW', 4.997133923287262),\n",
       "              ('B008YRG5JQ', 4.987281690607725),\n",
       "              ('B00CAMCCLQ', 4.9470281547950075),\n",
       "              ('B00H7F9IVI', 4.858403722109574),\n",
       "              ('B00GN6PPXW', 4.84834902222368)],\n",
       "             'AOTZOHB2LZGYR': [('B0036Q7MV0', 4.87565330851626),\n",
       "              ('B0067PLM5E', 4.715495784258162),\n",
       "              ('B006EWUO22', 4.669965255164672),\n",
       "              ('B00725FE20', 4.664268206414824),\n",
       "              ('B002FB684E', 4.655205624656907)],\n",
       "             'AR6APXLK7TJU2': [('B002ZIMEMW', 4.617821472257537),\n",
       "              ('B00FAYL1YU', 4.52209558527407),\n",
       "              ('B003SX0P1A', 4.454177766712031),\n",
       "              ('B00004ZCPH', 4.325895752587404),\n",
       "              ('B000ARCEGG', 4.245060892783571)],\n",
       "             'AWNJAY0M5UI70': [('B0036Q7MV0', 4.944107006347657),\n",
       "              ('B00691WMJG', 4.900754309481775),\n",
       "              ('B002RCNX8K', 4.877671687761946),\n",
       "              ('B009FUF6DM', 4.833795470690766),\n",
       "              ('B003OBXHPC', 4.828089886373586)],\n",
       "             'A28CCQNXWV6WA2': [('B002JCSV5I', 4.098043168524883),\n",
       "              ('B001QFZMBU', 3.9760577397408396),\n",
       "              ('B0019FJM7W', 3.9284476175057415),\n",
       "              ('B0011ZK6OS', 3.9198018214247368),\n",
       "              ('B002IVVD8C', 3.8588094974010603)],\n",
       "             'A3HQAPXAJV7PRX': [('B00EVIBN8U', 4.743746502082691),\n",
       "              ('B009NHWVIA', 4.664387922870004),\n",
       "              ('B00EU9V3VW', 4.5858186403974806),\n",
       "              ('B005GVAWXS', 4.539666442218338),\n",
       "              ('B003ULJU2A', 4.522992146314811)],\n",
       "             'A2HRHF83I3NDGT': [('B009USAJCC', 5.044078173772791),\n",
       "              ('B0000511U7', 5.000198070791135),\n",
       "              ('B007WTAJTO', 4.997236800377541),\n",
       "              ('B005LJQMCK', 4.9728592047490565),\n",
       "              ('B00762YNMG', 4.97090811624573)],\n",
       "             'A13BX9O5UDBILC': [('B00EVIBN8U', 4.644576615818143),\n",
       "              ('B009YQ8BTI', 4.555495559569393),\n",
       "              ('B009FUF6DM', 4.482461333741084),\n",
       "              ('B00015GYU4', 4.465640855291687),\n",
       "              ('B001XHBNN2', 4.435283724662338)],\n",
       "             'A24J2Y1O22JYZX': [('B000N99BBC', 4.767930750114771),\n",
       "              ('B00077AA5Q', 4.571668723721991),\n",
       "              ('B000V1XICU', 4.508104367140041),\n",
       "              ('B001F5FI3S', 4.372480715467696),\n",
       "              ('B0017I1PVC', 4.360817106349739)],\n",
       "             'A1M7HP5CHDXXOU': [('B008LTBITY', 4.623878673777425),\n",
       "              ('B00D429Y12', 4.56606249063745),\n",
       "              ('B00DB9WCR6', 4.5418955686789495),\n",
       "              ('B00829THH8', 4.512433254300994),\n",
       "              ('B007Z419BI', 4.488615232042109)],\n",
       "             'AUITG1DJ3QUGK': [('B004CLYEFK', 4.442730143063453),\n",
       "              ('B00CD8ADKO', 4.418580975593197),\n",
       "              ('B002TOJXK8', 4.309516578398901),\n",
       "              ('B00829TIEK', 4.305778967404362),\n",
       "              ('B00ATE7SZM', 4.281525060788118)],\n",
       "             'A20ZM879PCQQEZ': [('B001EQ4BVI', 4.5554583890105995),\n",
       "              ('B009NHAEXE', 4.548605310290197),\n",
       "              ('B002UOR17Y', 4.5407235232323515),\n",
       "              ('B005ZLOW8K', 4.511983661643914),\n",
       "              ('B0085TBFNO', 4.48222036770146)],\n",
       "             'A18GJ9MYYO6GCQ': [('B000CSQJ8C', 4.642727545173778),\n",
       "              ('B000EVSLRO', 4.642369609072133),\n",
       "              ('B003ZHV978', 4.641255572054745),\n",
       "              ('B004WK3U9W', 4.546131746550224),\n",
       "              ('B008X9Z8NE', 4.532020628623175)],\n",
       "             'A2RS66Y79Q8X0W': [('B005PQTYHE', 4.866604665186406),\n",
       "              ('B001T9NUJE', 4.8500076489188),\n",
       "              ('B001P05NBA', 4.8127337756149835),\n",
       "              ('B005NGQWL2', 4.758101573749824),\n",
       "              ('B0019CSVMW', 4.743029845275168)],\n",
       "             'A1VUN4JU731CBH': [('B006W8U2MU', 4.322073442869255),\n",
       "              ('B0049V0ZX8', 4.269116334047268),\n",
       "              ('B00AANMVNQ', 4.166983818395432),\n",
       "              ('B00483WRZ6', 4.14339274615118),\n",
       "              ('B000HDJT4S', 4.0348427812408625)],\n",
       "             'A25QJBK33C4O0R': [('B009GF6F9U', 4.224900066405259),\n",
       "              ('B0058FAYPI', 4.18226584160232),\n",
       "              ('B002QC17VG', 4.114423661161293),\n",
       "              ('B009WG6JF8', 4.110013398508503),\n",
       "              ('B000DZKUHA', 4.021301200478058)],\n",
       "             'A6XDZ1MJ0B1A2': [('B003N8GVUY', 3.4948782660082442),\n",
       "              ('B009F1DYF8', 3.419903349067601),\n",
       "              ('B000YAX13Y', 3.412488326958132),\n",
       "              ('B004MU8VCS', 3.406072046879831),\n",
       "              ('B000QGBC8C', 3.3622156843605713)],\n",
       "             'AHNHLGKIZ2N3B': [('B00D429Y12', 4.3443114916241425),\n",
       "              ('B00070QI1I', 4.208758656120733),\n",
       "              ('B0045NYLT4', 4.201953484121015),\n",
       "              ('B0009XG8Y0', 4.06751527008109),\n",
       "              ('B000227PN6', 4.06751527008109)],\n",
       "             'A2PB325LKXYDOL': [('B000Q85WRC', 5.191215119535227),\n",
       "              ('B006EKIQYM', 5.122853854931088),\n",
       "              ('B008U69LC4', 5.078821477973553),\n",
       "              ('B004GF1PC2', 5.011241796448706),\n",
       "              ('B004X8EO6Q', 4.971835157298843)],\n",
       "             'A1I96OYAUJ3HQE': [('B0041MY32Y', 4.929228904183561),\n",
       "              ('B007TIYZ3Y', 4.917926967960446),\n",
       "              ('B007FH1KX2', 4.90042029775546),\n",
       "              ('B0083Z6R4W', 4.733115518900736),\n",
       "              ('B00G97AJMW', 4.695324890914603)],\n",
       "             'A3IUW081KXD3PE': [('B001PIBE8I', 4.739086006561655),\n",
       "              ('B007W7PIZ6', 4.6468498714002875),\n",
       "              ('B00A3YDT5Q', 4.612792889186247),\n",
       "              ('B005X64M2S', 4.576309647581122),\n",
       "              ('B005I6EU48', 4.524091434129321)],\n",
       "             'A10X9ME6R66JDX': [('B006W8U2MU', 5.036815068041113),\n",
       "              ('B002V88HFE', 5.016533074792896),\n",
       "              ('B000CRFOMK', 5.0115853725206785),\n",
       "              ('B002YU83YO', 4.959020669722419),\n",
       "              ('B001TH7GUK', 4.950372430523323)],\n",
       "             'A2VJ5ALN1BIV3B': [('B00466X9SY', 4.810307867056385),\n",
       "              ('B002HWRJY4', 4.662684987031189),\n",
       "              ('B00576APBQ', 4.572682016518592),\n",
       "              ('B002BOYSPQ', 4.543233393861877),\n",
       "              ('B000GP4G1I', 4.511265492723581)],\n",
       "             'A1KSNK256G46GX': [('B000VOU91U', 4.6959053982929495),\n",
       "              ('B004GW25WY', 4.671591767831883),\n",
       "              ('B0020ZDI5C', 4.65670666985403),\n",
       "              ('B00752R9PK', 4.655408027484426),\n",
       "              ('B004HYGEOQ', 4.590124513147103)],\n",
       "             'A2X06FP2PQ6EK0': [('B006W8U2MU', 3.90708256559683),\n",
       "              ('B0040723AO', 3.813119674408246),\n",
       "              ('B00BWL33H8', 3.6607700928778644),\n",
       "              ('B004LSNF04', 3.6511779101322044),\n",
       "              ('B000VE2RP6', 3.6502042618969948)],\n",
       "             'AEFTIUQHSVUFX': [('B002V88HFE', 4.2843574251098095),\n",
       "              ('B00E055H5O', 4.077361536698191),\n",
       "              ('B002NEGTTM', 4.010284088174853),\n",
       "              ('B00BP5KOPA', 3.9926741910419636),\n",
       "              ('B005HWC6PI', 3.990975352647584)],\n",
       "             'A1OH33MR6K4G5J': [('B009K62HQ0', 4.446521915892992),\n",
       "              ('B00B28IGUU', 4.319123411776493),\n",
       "              ('B0017UCTX8', 4.2551672690820475),\n",
       "              ('B0074BW614', 4.2171833493862625),\n",
       "              ('B000X3KOD2', 4.207976396917661)],\n",
       "             'A28N2AWOVO2PB': [('B004X086LS', 4.688567168756239),\n",
       "              ('B00GY0UFFA', 4.653685087410458),\n",
       "              ('B00BEE99E4', 4.635362019956016),\n",
       "              ('B00972M942', 4.621407674732026),\n",
       "              ('B00E98O7GC', 4.6188471098556585)],\n",
       "             'A194Y47BF3CUTJ': [('B001E1Y5O6', 5.018839866588862),\n",
       "              ('B000KO0GY6', 4.883992145772165),\n",
       "              ('B009TCCTSQ', 4.862534704079389),\n",
       "              ('B001KN8V2U', 4.823744079097884),\n",
       "              ('B008M2OK5E', 4.702015078914051)],\n",
       "             'A1PN2U0AWXGVML': [('B0002L5R78', 4.729362946230977),\n",
       "              ('B003M0NT1M', 4.603549160909486),\n",
       "              ('B0011ZK6OS', 4.579872202345276),\n",
       "              ('B000WG6XW6', 4.570151546322389),\n",
       "              ('B001J6N9J8', 4.561480645335328)],\n",
       "             'A30UP2KKD5IQEP': [('B001TH7GSW', 4.703576077039521),\n",
       "              ('B00CGYCOR0', 4.676738129260678),\n",
       "              ('B0034CL2ZI', 4.641963536159233),\n",
       "              ('B00871F9E6', 4.5210657270636),\n",
       "              ('B006ZBWV0K', 4.475315060588841)],\n",
       "             'A3IJ4Z18FTIIP': [('B00CAAJDP6', 4.364409562727804),\n",
       "              ('B00119T6NQ', 4.251681583400281),\n",
       "              ('B00DIFIM36', 4.241620797808155),\n",
       "              ('B0042HLHVI', 4.118133411913938),\n",
       "              ('B0002A9RFM', 4.026131338649696)],\n",
       "             'A1LD5SE8IZ1H70': [('B004W2JKWG', 4.79654861495737),\n",
       "              ('B00FJRS5BA', 4.789003750880701),\n",
       "              ('B007SZ0E1K', 4.734123925397259),\n",
       "              ('B0015A8Y5M', 4.618110716508438),\n",
       "              ('B007EM7NES', 4.591851875653011)],\n",
       "             'A3FPSY1M6G7XIB': [('B00889ST2G', 4.906750096597317),\n",
       "              ('B000HJPK2C', 4.794338241306368),\n",
       "              ('B0029ZA78O', 4.696954436565649),\n",
       "              ('B0009HN57E', 4.636459772308429),\n",
       "              ('B002LITT42', 4.629754364519705)],\n",
       "             'A2O6HZ2B9YSRXR': [('B001TH7GUK', 4.569646294374727),\n",
       "              ('B002UVNW5W', 4.457535519251916),\n",
       "              ('B002G1YPH0', 4.456240690934055),\n",
       "              ('B0011U65F2', 4.413788155904184),\n",
       "              ('B0055QYKQO', 4.371680502786568)],\n",
       "             'ASFP250F22MDZ': [('B001BTCSI6', 4.139259008620186),\n",
       "              ('B005L38VPC', 4.045661363494446),\n",
       "              ('B001HAER88', 3.9155563131984796),\n",
       "              ('B000BN94F8', 3.885791749144394),\n",
       "              ('B0013BEEUW', 3.8616887827338555)],\n",
       "             'A3KCKECEO3E2AN': [('B004BDOGL6', 4.399147269202498),\n",
       "              ('B002C1BHIO', 4.320822882213417),\n",
       "              ('B002MCZJ78', 4.295583865578612),\n",
       "              ('B002FB684E', 4.26647538300209),\n",
       "              ('B002ZHCYFA', 4.222448792317691)],\n",
       "             'A3JV071KO43Q5X': [('B007R9M6PO', 4.24209928824214),\n",
       "              ('B005K7192G', 4.18463095050043),\n",
       "              ('B001PIBE8I', 4.17733437764597),\n",
       "              ('B004Q7J4W8', 4.10347467883087),\n",
       "              ('B002MAPSDA', 4.03680628575948)],\n",
       "             'A2UTZ4O5E2W4DK': [('B007WTAJTO', 4.908174845851134),\n",
       "              ('B004W2JKWG', 4.896209011428845),\n",
       "              ('B001O4EPHA', 4.834371761048919),\n",
       "              ('B0011ZK6PC', 4.723237738643298),\n",
       "              ('B001NS828K', 4.714209055743131)],\n",
       "             'AC1YLEFC9AN5X': [('B001TOD7ME', 4.394255585532722),\n",
       "              ('B0042FZA1S', 4.298140124815958),\n",
       "              ('B000TDCJHK', 4.290740205912198),\n",
       "              ('B008O2HW8O', 4.231457170989512),\n",
       "              ('B008Q5CTGE', 4.192861977832038)],\n",
       "             'A57Q87B0TC9IJ': [('B007PJ4PLO', 3.7033933159221673),\n",
       "              ('B00BHSTWRQ', 3.681816629746433),\n",
       "              ('B00DL4BKEW', 3.666890715522649),\n",
       "              ('B00007DX3I', 3.663405666123108),\n",
       "              ('B000050NPX', 3.6378064709236173)],\n",
       "             'A8X8D4BUY5DFU': [('B00081A2KY', 4.5365306952091835),\n",
       "              ('B0001J3PVQ', 4.505266329466223),\n",
       "              ('B00007AP2O', 4.388638389890129),\n",
       "              ('B009IUIV4A', 4.2942825723176945),\n",
       "              ('B0000YTXHC', 4.2677686576849325)],\n",
       "             'A3CJOB7CHOSZUG': [('B000FQ2JLW', 4.962350545759784),\n",
       "              ('B004AA0QO6', 4.515254334248203),\n",
       "              ('B0000VYJRY', 4.503628414534824),\n",
       "              ('B00EB7812C', 4.491975202763501),\n",
       "              ('B00154QKH2', 4.436530368264091)],\n",
       "             'AGR1V15L6FLMA': [('B007WTAJTO', 4.75835335255414),\n",
       "              ('B0045JCL22', 4.532311382507018),\n",
       "              ('B006EWUO22', 4.523617972274615),\n",
       "              ('B002PX9BX2', 4.491094357875194),\n",
       "              ('B005869A16', 4.473494163421241)],\n",
       "             'A2ZRG5NOFZ47RK': [('B0000BZL1P', 4.983554064084754),\n",
       "              ('B000CKVOOY', 4.841425647940655),\n",
       "              ('B00009R94Q', 4.75498412490937),\n",
       "              ('B0046TDJJK', 4.655614874004725),\n",
       "              ('B0018BTPLK', 4.640857910174082)],\n",
       "             'A26877IWJGISYM': [('B000N99BBC', 4.806643314768488),\n",
       "              ('B00ISFNSBW', 4.607818448858142),\n",
       "              ('B006JH8T3S', 4.596755964209488),\n",
       "              ('B00829TIA4', 4.573357807362591),\n",
       "              ('B00114162K', 4.55163642035035)],\n",
       "             'A3A15L96IYUO6V': [('B000N99BBC', 4.730420320808748),\n",
       "              ('B005J31BCO', 4.534020845618318),\n",
       "              ('B001DJ64C0', 4.493276928556248),\n",
       "              ('B007KZQM8W', 4.480079837039889),\n",
       "              ('B000FIVDIA', 4.419715116953503)],\n",
       "             'A33HIV8RXRDM88': [('B0000BZL1P', 4.740330736512641),\n",
       "              ('B00005LEN4', 4.677987992267418),\n",
       "              ('B000MX48VM', 4.544166765125751),\n",
       "              ('B0002L5R78', 4.49859941516346),\n",
       "              ('B00006JN3G', 4.474304623678664)],\n",
       "             'AHQRU3MRORIWQ': [('B008EQYRRY', 4.652837375647897),\n",
       "              ('B00DOWCQB2', 4.51312144384949),\n",
       "              ('B00834SJNA', 4.503598461748977),\n",
       "              ('B005HMKKH4', 4.4923668738168105),\n",
       "              ('B008GVNR2I', 4.465312466283471)],\n",
       "             'A1OA2ZW406NQXM': [('B007PJ4P4G', 4.704757126323545),\n",
       "              ('B002TLTE6O', 4.614956506135698),\n",
       "              ('B008LCYIEI', 4.581285307343818),\n",
       "              ('B004BDOGL6', 4.559977036215348),\n",
       "              ('B004BQTTE2', 4.543114486651433)],\n",
       "             'A11ED8O95W2103': [('B00000J061', 4.335700565371554),\n",
       "              ('B000EMWBV0', 4.239111445210065),\n",
       "              ('B000065BPC', 4.218932195451386),\n",
       "              ('B00000DM9W', 4.21819963468008),\n",
       "              ('B00006B7HB', 4.200266644767849)],\n",
       "             ...})"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "top_n_baseline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we have predicted the top 5 recommendations for each of the user on the basis of ratings. For e.g., for UserId \"A3D6OI36USYOU1\" recommendend items will be 'B003ES5ZUU', 'B0001G6U4S', 'B001KB21KA', 'B001SJVU24' and 'B004K2Z4MS'."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The activity involved designing a Recommendation System depending on the users' habit by using **Popularity Based** and **Collaborative Filtering**. The main points can be summarised in the following manner:\n",
    "\n",
    "- **Popularity Based**:\n",
    "\n",
    "It is a non-personalised recommendation system where the entire list of users are recommended the same set of products (as shown in the above for userid 15, 121 and 53). All three of them were recommended the same five set of the products -'B0088CJT4U', 'B003ES5ZUU', 'B000N99BBC', 'B007WTAJTO', 'B00829TIEK'. It is based on frequency counts, which may or may not be relevant to the user.\n",
    "\n",
    "- **Collaborative Filtering**:\n",
    "\n",
    "It is a personalised recommender system as the recommendations are based on the past behavior of the user. Although there are two types of Collaborative Filtering based system - Memory and Model Based. Here we have used Model based techniques - **SVD** to find a list of recommendations for the user. \n",
    "\n",
    "In first case where we tried just SVD, we can see that for user 15 \"BB000QUUFRW\" is recommended specifically whereas for user 121 and 53 product \"B001TH7GUU\" is recommended for both of them (although the propensity to be recommended differs as suggested by the expected ratings). Apart from this, all three of them have been recommended \"B007WTAJTO\", \"B003ES5ZUU\", \"B002V88HFE\" and \"B002WE6D44\".\n",
    "\n",
    "In second case where we used SVD (from Surprise), we can see that from top_n (which contains the prediction value for the test set) that the users were mostly recommended different set of products based on their past behaviours.\n",
    "\n",
    "In third case where we used BaselineOnly (from Surprise), we can see that from top_n_baseline (which contains the prediction value for the test set) that the users were mostly recommended different set of products based on their past behaviours."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Thus, from this activity it is clear that recommender system based **Collaborative Filtering** is more preferable than system based on **Popularity based** as before recommending items to a user it considers the past behaviour of the users."
   ]
  }
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