Algorithm/main.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from data_import import import_user_ratings, import_semantic, generate_random_user_ratings_input\n",
    "from bliga import BookRecommendationSystem\n",
    "from tuner import HyperparameterTuner\n",
    "from evaluation import Evaluator"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import Datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# RUN THIS FOR DATASET 1\n",
    "\n",
    "# File paths for data import\n",
    "user_ratings_file = \"user_ratings.csv\"\n",
    "semantic_file = \"semantic.csv\"\n",
    "\n",
    "# Import data\n",
    "user_ratings = import_user_ratings(user_ratings_file)\n",
    "semantic = import_semantic(semantic_file)\n",
    "\n",
    "# Generate user_ratings_input\n",
    "user_ratings_input = generate_random_user_ratings_input(200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# RUN THIS FOR DATASET 2\n",
    "\n",
    "# File paths for data import\n",
    "user_ratings_file = \"KAGGLE/kaggle_ratings.csv\"\n",
    "semantic_file = \"KAGGLE/kaggle_semantic.csv\"\n",
    "\n",
    "# Import data\n",
    "user_ratings = import_user_ratings(user_ratings_file)\n",
    "semantic = import_semantic(semantic_file)\n",
    "\n",
    "no_books = len(user_ratings[1])\n",
    "user_ratings_input = generate_random_user_ratings_input(no_books)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# RUN THIS FOR DATASET 3\n",
    "\n",
    "# File paths for data import\n",
    "user_ratings_file = \"SURVEY/survey_user_ratings.csv\"\n",
    "semantic_file = \"SURVEY/survey_semantic.csv\"\n",
    "\n",
    "# Import data\n",
    "user_ratings = import_user_ratings(user_ratings_file)\n",
    "semantic = import_semantic(semantic_file)\n",
    "\n",
    "no_books = len(user_ratings[1])\n",
    "user_ratings_input = generate_random_user_ratings_input(no_books)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Evaluate Metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "evaluator = Evaluator()\n",
    "evaluator.evaluation(user_ratings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.savefig('kaggle_evaluation_graph.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Run Recommender"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Using BookRecommendationSystem\n",
    "recommender = BookRecommendationSystem(user_ratings_input, user_ratings, semantic)\n",
    "\n",
    "# Set the parameters for the genetic algorithm\n",
    "pop_size = 50\n",
    "mutation_rate = 0.2\n",
    "num_generations = 10\n",
    "crossover_func = \"one_point\"\n",
    "mutation_func = \"swap\"\n",
    "no_rec = 10\n",
    "\n",
    "# Call the genetic_algorithm method with appropriate arguments\n",
    "best_solution, semratings_dict, fitness_scores_dict, best_solutions_by_generation = recommender.genetic_algorithm(\n",
    "    pop_size, mutation_rate, num_generations, crossover_func, mutation_func, no_rec\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "best_solutions_by_generation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2.9537422615557363,\n",
       " 2.745434807249456,\n",
       " 2.782762658790705,\n",
       " 2.867127093783701,\n",
       " 2.614830188312742,\n",
       " 3.0999773819037606,\n",
       " 2.850900931062796,\n",
       " 3.0936647263641035,\n",
       " 2.874711446488021,\n",
       " 2.6799942708491686]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fitness_scores_dict[best_solution]['predicted_rating_list']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{(72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.232917201163634, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 18.70012174987337, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (26, 8, 148, 143, 129, 194, 56): {'total_predicted_rating': 18.42925545330357,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (140, 68, 194, 2, 41, 94, 81): {'total_predicted_rating': 18.71010504352008,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (101, 23, 5, 43, 72, 139, 172): {'total_predicted_rating': 18.825909717718496,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (139, 43, 8, 161, 148, 0, 95): {'total_predicted_rating': 19.067514624695367,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (148, 68, 1, 10, 101, 161, 43): {'total_predicted_rating': 19.73863014446425,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (139, 172, 0, 140, 1, 23, 103): {'total_predicted_rating': 18.078691099255366,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (37, 161, 17, 96, 1, 143, 129): {'total_predicted_rating': 19.286058365407357,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (143,\n",
       "  23,\n",
       "  129,\n",
       "  133,\n",
       "  10,\n",
       "  8,\n",
       "  101): {'total_predicted_rating': 17.822529984861507, 'predicted_rating_list': [2.5137428411719784,\n",
       "   3.1673796377152557,\n",
       "   2.070475337306837,\n",
       "   2.243110520964807,\n",
       "   3.071100489632776,\n",
       "   2.1497422739311833,\n",
       "   2.6069788841386696]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.304257402019008, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (56,\n",
       "  133,\n",
       "  26,\n",
       "  148,\n",
       "  139,\n",
       "  68,\n",
       "  57): {'total_predicted_rating': 19.409976463539937, 'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 19.356722200320267, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (110,\n",
       "  26,\n",
       "  139,\n",
       "  10,\n",
       "  36,\n",
       "  74,\n",
       "  146): {'total_predicted_rating': 19.147031257607736, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (17, 23, 5, 56, 72, 139, 172): {'total_predicted_rating': 19.567593899206877,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.278341659858921,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (148, 68, 1, 10, 101, 2): {'total_predicted_rating': 16.01622355662164,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.5612502978393095]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  74,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.539039846131278, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.3685056435404466,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (96, 56, 143, 66, 10, 94, 81): {'total_predicted_rating': 19.340984096153612,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 2, 1, 146, 148): {'total_predicted_rating': 18.58765205038631,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   2.5058996464880656,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  163,\n",
       "  133,\n",
       "  129,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 18.919526974612086, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.9116736325970147,\n",
       "   2.243110520964807,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 163, 56, 10, 148): {'total_predicted_rating': 17.59776300535919,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.278341659858921,\n",
       "   3.071100489632776,\n",
       "   3.199851819997653]},\n",
       " (129, 41, 133, 17, 10, 172): {'total_predicted_rating': 16.476332411368936,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.243110520964807,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335]},\n",
       " (96, 56, 146, 129, 10, 148): {'total_predicted_rating': 16.79051456084703,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.830462967800603,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.199851819997653]},\n",
       " (110, 68, 1, 10, 101, 161, 43): {'total_predicted_rating': 19.01253315897382,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (101, 23, 5, 43, 10, 21, 161): {'total_predicted_rating': 20.692066741231905,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 36, 163, 56, 139, 172): {'total_predicted_rating': 16.835242579119544,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1573991126838234,\n",
       "   2.9116736325970147,\n",
       "   3.278341659858921,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (37, 163, 1, 10, 101, 161, 43): {'total_predicted_rating': 20.88098950127863,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.9116736325970147,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (139, 2, 146, 140, 10, 103): {'total_predicted_rating': 16.02678538594444,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.5612502978393095,\n",
       "   2.830462967800603,\n",
       "   2.960360468473481,\n",
       "   3.071100489632776,\n",
       "   2.116220042530374]},\n",
       " (139,\n",
       "  43,\n",
       "  146,\n",
       "  161,\n",
       "  148,\n",
       "  163,\n",
       "  95): {'total_predicted_rating': 20.289089301959233, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.9116736325970147,\n",
       "   2.5760528762141512]},\n",
       " (72, 1, 163, 146, 10, 21, 161): {'total_predicted_rating': 20.13183796351303,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5058996464880656,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 163, 43, 139, 172): {'total_predicted_rating': 16.12234728267677,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.1158665919613036,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 133, 146, 56, 21, 2): {'total_predicted_rating': 19.802618382457364,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.243110520964807,\n",
       "   2.830462967800603,\n",
       "   3.278341659858921,\n",
       "   3.1150944141398007,\n",
       "   2.5612502978393095]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 17.69067029856776, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (57, 23, 148, 43, 10, 146): {'total_predicted_rating': 18.75638334185812,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   3.1673796377152557,\n",
       "   3.199851819997653,\n",
       "   3.1158665919613036,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (140,\n",
       "  101,\n",
       "  163,\n",
       "  148,\n",
       "  10,\n",
       "  21,\n",
       "  133): {'total_predicted_rating': 20.1081702299442, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.243110520964807]},\n",
       " (72,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.493791634902927, 'predicted_rating_list': [2.5298165191341555,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (148, 161, 17, 1, 10, 129): {'total_predicted_rating': 17.20130558487538,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.070475337306837]},\n",
       " (37, 68, 1, 94, 101, 161, 43): {'total_predicted_rating': 19.498789130982985,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.529431333408977,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (37, 161, 143, 129, 10, 146): {'total_predicted_rating': 17.155251892372995,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (8, 56, 17, 94, 143, 101): {'total_predicted_rating': 16.264424990239164,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.278341659858921,\n",
       "   3.186187997729436,\n",
       "   2.529431333408977,\n",
       "   2.5137428411719784,\n",
       "   2.6069788841386696]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  148,\n",
       "  101,\n",
       "  161,\n",
       "  2): {'total_predicted_rating': 19.668238082977382, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.199851819997653,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   2.5612502978393095]},\n",
       " (148, 68, 1, 129, 10, 146): {'total_predicted_rating': 15.748932679751102,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (110, 26, 5, 66, 72, 139, 172): {'total_predicted_rating': 18.081543450562407,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.447856429923483,\n",
       "   2.913686922376951,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (37, 23, 139, 10, 36, 74, 146): {'total_predicted_rating': 20.58391893378099,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1673796377152557,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (163, 103, 133, 94, 81): {'total_predicted_rating': 12.494834092954942,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 96, 2, 110, 23): {'total_predicted_rating': 15.574169943310674,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   2.473754834507224,\n",
       "   3.1673796377152557]},\n",
       " (129, 2, 96, 94, 81): {'total_predicted_rating': 12.195837818259129,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   2.5612502978393095,\n",
       "   2.340282286250237,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  68,\n",
       "  194,\n",
       "  94,\n",
       "  163,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.232375787245005, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.529431333408977,\n",
       "   2.9116736325970147,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  66,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.147468987089123, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (148, 68, 1, 10, 101, 143, 129): {'total_predicted_rating': 18.03919143726115,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (37, 161, 17, 148, 36, 163): {'total_predicted_rating': 19.124582819468728,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   3.199851819997653,\n",
       "   3.1573991126838234,\n",
       "   2.9116736325970147]},\n",
       " (96,\n",
       "  68,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 18.097058160685254, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.071142418525167,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  1,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 18.531815388648152, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (110, 23, 5, 43, 72, 139, 172): {'total_predicted_rating': 18.692685668087048,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (57, 161, 17, 96, 10, 146, 129): {'total_predicted_rating': 20.03802120719103,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.070475337306837]},\n",
       " (139, 43, 8, 161, 163, 172): {'total_predicted_rating': 16.303084447055745,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   2.9116736325970147,\n",
       "   2.4706205351777335]},\n",
       " (129, 41, 102, 17, 10, 95): {'total_predicted_rating': 16.631691573556083,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.5760528762141512]},\n",
       " (37,\n",
       "  163,\n",
       "  17,\n",
       "  96,\n",
       "  110,\n",
       "  143,\n",
       "  129): {'total_predicted_rating': 18.997796892302915, 'predicted_rating_list': [3.5016799627401873,\n",
       "   2.9116736325970147,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.473754834507224,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (37, 161, 17, 96, 1, 143, 74): {'total_predicted_rating': 19.584088671640963,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.3685056435404466]},\n",
       " (57, 26, 139, 10, 36, 74, 161): {'total_predicted_rating': 20.38232558377105,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   3.1677902937206133]},\n",
       " (110, 102, 17, 10, 172, 146): {'total_predicted_rating': 16.325164166963308,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 2, 143, 10, 146, 148): {'total_predicted_rating': 16.24688375374916,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   2.5612502978393095,\n",
       "   2.5137428411719784,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (37, 163, 17, 96, 72, 139, 133): {'total_predicted_rating': 19.20014203908373,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.9116736325970147,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.243110520964807]},\n",
       " (101,\n",
       "  23,\n",
       "  94,\n",
       "  43,\n",
       "  110,\n",
       "  143,\n",
       "  129): {'total_predicted_rating': 18.477629460210245, 'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.529431333408977,\n",
       "   3.1158665919613036,\n",
       "   2.473754834507224,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (163,\n",
       "  56,\n",
       "  143,\n",
       "  96,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.145455697309185, 'predicted_rating_list': [2.9116736325970147,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 18.128730403526593, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (72, 163, 129, 10, 146, 148): {'total_predicted_rating': 16.61338076646904,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.9116736325970147,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  146,\n",
       "  10,\n",
       "  72,\n",
       "  161): {'total_predicted_rating': 19.731537057569287, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.5298165191341555,\n",
       "   3.1677902937206133]},\n",
       " (96, 56, 41, 129, 94, 81): {'total_predicted_rating': 16.34776671083609,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   2.070475337306837,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 56, 41, 72, 95): {'total_predicted_rating': 19.309235904025254,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   2.5298165191341555,\n",
       "   2.5760528762141512]},\n",
       " (8, 1, 143, 129, 10, 146, 148): {'total_predicted_rating': 18.341275376329097,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 43, 8, 66, 148, 0, 95): {'total_predicted_rating': 18.666302419934045,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   2.913686922376951,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (140,\n",
       "  68,\n",
       "  194,\n",
       "  66,\n",
       "  148,\n",
       "  0,\n",
       "  161): {'total_predicted_rating': 19.142336003558455, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.913686922376951,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   3.1677902937206133]},\n",
       " (139,\n",
       "  43,\n",
       "  133,\n",
       "  148,\n",
       "  10,\n",
       "  146,\n",
       "  161): {'total_predicted_rating': 20.115573803745654, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.243110520964807,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133]},\n",
       " (139, 23, 0, 140, 1, 103): {'total_predicted_rating': 15.608070564077636,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1673796377152557,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   2.116220042530374]},\n",
       " (110,\n",
       "  163,\n",
       "  26,\n",
       "  148,\n",
       "  139,\n",
       "  146,\n",
       "  57): {'total_predicted_rating': 20.033273299095885, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.9116736325970147,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.830462967800603,\n",
       "   3.371721834750526]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  66,\n",
       "  146,\n",
       "  81): {'total_predicted_rating': 18.641390578219298, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.913686922376951,\n",
       "   2.830462967800603,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 2, 41, 94, 148): {'total_predicted_rating': 19.215558300063964,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   3.199851819997653]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  148): {'total_predicted_rating': 19.726111052517318, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   3.199851819997653]},\n",
       " (140, 56, 143, 129, 10, 146): {'total_predicted_rating': 16.724483764244596,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (148, 68, 133, 96, 143, 129): {'total_predicted_rating': 14.43860522421668,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   2.340282286250237,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (37, 161, 17, 56, 101, 43): {'total_predicted_rating': 18.856845390149132,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   3.278341659858921,\n",
       "   2.6069788841386696,\n",
       "   3.1158665919613036]},\n",
       " (56, 133, 96, 8, 10, 146): {'total_predicted_rating': 15.913040198438527,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.340282286250237,\n",
       "   2.1497422739311833,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (96, 56, 143, 8, 68, 57): {'total_predicted_rating': 15.724973314488013,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.1497422739311833,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (110, 43, 8, 161, 148, 0, 26): {'total_predicted_rating': 19.236242553095508,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.7584170897749667]},\n",
       " (139,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  21,\n",
       "  148): {'total_predicted_rating': 19.735997681775864, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.199851819997653]},\n",
       " (148, 68, 1, 10, 101, 21, 161): {'total_predicted_rating': 19.737857966642746,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  110,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 19.636343723859582, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   2.473754834507224,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (140,\n",
       "  41,\n",
       "  102,\n",
       "  74,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 19.42892497729792, 'predicted_rating_list': [2.960360468473481,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.3685056435404466,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 26, 139, 74, 36, 146): {'total_predicted_rating': 15.672651270774573,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   2.3685056435404466,\n",
       "   3.1573991126838234,\n",
       "   2.830462967800603]},\n",
       " (17,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.889288679758913, 'predicted_rating_list': [3.186187997729436,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 68, 1, 10, 101, 161, 43): {'total_predicted_rating': 19.068594843600753,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (139, 43, 8, 72, 172): {'total_predicted_rating': 12.75343703987227,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   2.5298165191341555,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 5, 161, 148, 0, 95): {'total_predicted_rating': 19.53672959091239,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (8, 101, 17, 96, 1, 143, 129): {'total_predicted_rating': 17.373309267016406,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.6069788841386696,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (17, 161, 41, 146, 10, 21): {'total_predicted_rating': 18.805473693580577,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   3.1677902937206133,\n",
       "   3.4348375305573473,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007]},\n",
       " (163,\n",
       "  103,\n",
       "  5,\n",
       "  43,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 18.079444870991964, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 148, 81, 140): {'total_predicted_rating': 14.628969373778826,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   3.199851819997653,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481]},\n",
       " (72, 101, 163, 146, 161, 43): {'total_predicted_rating': 17.16258888935236,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 10, 21, 161): {'total_predicted_rating': 17.130879082504077,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  95): {'total_predicted_rating': 18.680458458235506, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.5760528762141512]},\n",
       " (139, 43, 148, 161, 1, 146): {'total_predicted_rating': 17.307262439636133,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   3.199851819997653,\n",
       "   3.1677902937206133,\n",
       "   2.5058996464880656,\n",
       "   2.830462967800603]},\n",
       " (96, 68, 1, 56, 161, 43): {'total_predicted_rating': 16.47932289680431,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.278341659858921,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 56, 143, 129, 10): {'total_predicted_rating': 14.133512147968165,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776]},\n",
       " (110, 26, 139, 10, 36, 94, 81): {'total_predicted_rating': 19.171892543129434,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 146, 2, 41, 74): {'total_predicted_rating': 16.226559326736357,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.830462967800603,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.3685056435404466]},\n",
       " (96, 56, 133, 129, 163, 148): {'total_predicted_rating': 16.04373525697547,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.070475337306837,\n",
       "   2.9116736325970147,\n",
       "   3.199851819997653]},\n",
       " (96, 163, 94, 129, 10, 146, 2): {'total_predicted_rating': 18.314676344835753,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.9116736325970147,\n",
       "   2.529431333408977,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.5612502978393095]},\n",
       " (96,\n",
       "  23,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.19329537987534, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.1673796377152557,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (163,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.875648748365784, 'predicted_rating_list': [2.9116736325970147,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (140, 103, 133, 66, 81, 23): {'total_predicted_rating': 16.095156155514637,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.913686922376951,\n",
       "   2.694398563453769,\n",
       "   3.1673796377152557]},\n",
       " (148, 68, 133, 56, 163, 94, 81): {'total_predicted_rating': 18.92794994880631,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   3.278341659858921,\n",
       "   2.9116736325970147,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 1, 10, 163, 101, 43): {'total_predicted_rating': 19.243022131816478,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.9116736325970147,\n",
       "   2.6069788841386696,\n",
       "   3.1158665919613036]},\n",
       " (129, 110, 102, 10, 146, 161): {'total_predicted_rating': 15.90662126508359,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   2.473754834507224,\n",
       "   2.2930373421155346,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133]},\n",
       " (96,\n",
       "  68,\n",
       "  143,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.483539536287932, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.071142418525167,\n",
       "   2.5137428411719784,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (101, 23, 5, 43, 41, 94, 81): {'total_predicted_rating': 19.996748971158805,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  68,\n",
       "  194,\n",
       "  2,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 17.539265790079774, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (129, 36, 102, 17, 94, 81): {'total_predicted_rating': 15.930929686698377,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.1573991126838234,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 2, 1, 163, 146): {'total_predicted_rating': 18.29947386298567,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   2.5058996464880656,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603]},\n",
       " (140,\n",
       "  68,\n",
       "  133,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  103): {'total_predicted_rating': 17.362872245234044, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.116220042530374]},\n",
       " (8, 1, 0, 140, 10, 146, 148): {'total_predicted_rating': 19.088237315526328,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.5058996464880656,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (37, 56, 146, 129, 10, 148): {'total_predicted_rating': 17.951912237336977,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.278341659858921,\n",
       "   2.830462967800603,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.199851819997653]},\n",
       " (96, 36, 1, 143, 129): {'total_predicted_rating': 12.587799223900943,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.1573991126838234,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (139, 43, 8, 2, 41, 94, 81): {'total_predicted_rating': 18.972917710819786,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 161, 56, 0, 81): {'total_predicted_rating': 19.001537484496545,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   3.1677902937206133,\n",
       "   3.278341659858921,\n",
       "   2.370819649202563,\n",
       "   2.694398563453769]},\n",
       " (26, 8, 148, 143, 129, 194): {'total_predicted_rating': 15.150913793444648,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286]},\n",
       " (96, 56, 143, 129, 10, 146): {'total_predicted_rating': 16.104405582021354,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (72, 23, 163, 146, 10, 161): {'total_predicted_rating': 17.67822354060042,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1673796377152557,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 163, 146, 1, 161): {'total_predicted_rating': 16.55262194387912,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   2.5058996464880656,\n",
       "   3.1677902937206133]},\n",
       " (56, 133, 26, 68, 95): {'total_predicted_rating': 12.927064565338013,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   2.071142418525167,\n",
       "   2.5760528762141512]},\n",
       " (72, 101, 163, 96, 66, 0, 95): {'total_predicted_rating': 18.24931076991374,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.340282286250237,\n",
       "   2.913686922376951,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139, 43, 94, 146, 10, 21, 161): {'total_predicted_rating': 20.31713721033197,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.529431333408977,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (8, 103, 148, 10, 21, 72): {'total_predicted_rating': 16.181825559365944,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.116220042530374,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.5298165191341555]},\n",
       " (8, 101, 133, 81, 140, 23): {'total_predicted_rating': 15.821970348677164,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.6069788841386696,\n",
       "   2.243110520964807,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 18.855266351545048, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  68,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  140,\n",
       "  81): {'total_predicted_rating': 19.068955059616968, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.960360468473481,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  68,\n",
       "  194,\n",
       "  43,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 18.093882084201766, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 133, 8, 41, 94, 81): {'total_predicted_rating': 18.82587874417001,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.243110520964807,\n",
       "   2.1497422739311833,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (72, 1, 0, 140, 56, 23, 103): {'total_predicted_rating': 18.928837623402814,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5058996464880656,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   3.278341659858921,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (8, 101, 163, 146, 10, 21, 161): {'total_predicted_rating': 19.85284295596066,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (140, 68, 1, 10, 101, 161, 26): {'total_predicted_rating': 19.14168929075374,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   2.7584170897749667]},\n",
       " (96,\n",
       "  56,\n",
       "  41,\n",
       "  129,\n",
       "  66,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.067938524148552, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   2.070475337306837,\n",
       "   2.913686922376951,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 2, 143, 74, 1, 23, 103): {'total_predicted_rating': 17.57328039553567,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   2.5137428411719784,\n",
       "   2.3685056435404466,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (139, 172, 0, 129, 10, 146, 81): {'total_predicted_rating': 17.99526866224218,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   2.370819649202563,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.694398563453769]},\n",
       " (37, 161, 17, 8, 1, 43): {'total_predicted_rating': 17.627166766570788,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.1497422739311833,\n",
       "   2.5058996464880656,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 10, 66, 143, 133): {'total_predicted_rating': 18.518534659157396,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.913686922376951,\n",
       "   2.5137428411719784,\n",
       "   2.243110520964807]},\n",
       " (129,\n",
       "  43,\n",
       "  41,\n",
       "  161,\n",
       "  148,\n",
       "  146,\n",
       "  95): {'total_predicted_rating': 20.395337417558512, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.1158665919613036,\n",
       "   3.4348375305573473,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.830462967800603,\n",
       "   2.5760528762141512]},\n",
       " (57,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 20.657968697763955, 'predicted_rating_list': [3.371721834750526,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (72, 101, 163, 146, 10, 148): {'total_predicted_rating': 17.149884313300873,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  2,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  161): {'total_predicted_rating': 18.555104513722355, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  163,\n",
       "  74): {'total_predicted_rating': 19.335817973479394, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.9116736325970147,\n",
       "   2.3685056435404466]},\n",
       " (96,\n",
       "  56,\n",
       "  94,\n",
       "  129,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.590714609436084, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.529431333408977,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (139, 172, 8, 161, 148, 26): {'total_predicted_rating': 16.233813132270047,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.7584170897749667]},\n",
       " (139, 43, 0, 140, 1, 23, 2): {'total_predicted_rating': 19.16896741134787,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.5612502978393095]},\n",
       " (72, 110, 8, 161, 148, 0, 95): {'total_predicted_rating': 18.467828266707542,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.473754834507224,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.190491801697377, 'predicted_rating_list': [2.4873911196678953,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (148, 68, 1, 10, 161, 43): {'total_predicted_rating': 17.13165126032558,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  10,\n",
       "  23): {'total_predicted_rating': 18.810861771032666, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   3.071100489632776,\n",
       "   3.1673796377152557]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  161): {'total_predicted_rating': 19.272195875741968, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133]},\n",
       " (17,\n",
       "  101,\n",
       "  163,\n",
       "  96,\n",
       "  10,\n",
       "  146,\n",
       "  161): {'total_predicted_rating': 20.114476551869352, 'predicted_rating_list': [3.186187997729436,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133]},\n",
       " (129, 41, 102, 94, 1, 163): {'total_predicted_rating': 15.745354822473777,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.529431333408977,\n",
       "   2.5058996464880656,\n",
       "   2.9116736325970147]},\n",
       " (37, 161, 17, 96, 1, 172, 146): {'total_predicted_rating': 20.002923689906876,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (139, 68, 8, 148, 101, 95): {'total_predicted_rating': 15.091159392474719,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.6069788841386696,\n",
       "   2.5760528762141512]},\n",
       " (139, 43, 94, 161, 148, 0, 95): {'total_predicted_rating': 19.447203684173157,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.529431333408977,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (17, 103, 133, 101, 161, 43): {'total_predicted_rating': 16.436154331045202,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (72, 68, 1, 10, 81, 21, 23): {'total_predicted_rating': 19.15483168908899,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.694398563453769,\n",
       "   3.1150944141398007,\n",
       "   3.1673796377152557]},\n",
       " (148, 110, 41, 10, 101, 26): {'total_predicted_rating': 17.544940648608637,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.473754834507224,\n",
       "   3.4348375305573473,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.7584170897749667]},\n",
       " (129, 41, 148, 17, 1, 23, 95): {'total_predicted_rating': 20.140684846008746,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   3.199851819997653,\n",
       "   3.186187997729436,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.5760528762141512]},\n",
       " (139, 172, 0, 140, 10, 146): {'total_predicted_rating': 16.19075522995505,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (139,\n",
       "  43,\n",
       "  8,\n",
       "  161,\n",
       "  148,\n",
       "  146,\n",
       "  81): {'total_predicted_rating': 19.645503630533025, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.830462967800603,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  68,\n",
       "  194,\n",
       "  148,\n",
       "  41,\n",
       "  163,\n",
       "  95): {'total_predicted_rating': 19.612603177626845, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   3.199851819997653,\n",
       "   3.4348375305573473,\n",
       "   2.9116736325970147,\n",
       "   2.5760528762141512]},\n",
       " (72, 8, 94, 143, 129, 194, 56): {'total_predicted_rating': 17.530234396074082,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.1497422739311833,\n",
       "   2.529431333408977,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (26,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.461517771804445, 'predicted_rating_list': [2.7584170897749667,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (140, 36, 146, 10, 101, 81): {'total_predicted_rating': 17.320700486183124,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   3.1573991126838234,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769]},\n",
       " (129,\n",
       "  36,\n",
       "  102,\n",
       "  17,\n",
       "  1,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.243314224121953, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.1573991126838234,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   2.5058996464880656,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  2,\n",
       "  143,\n",
       "  129,\n",
       "  163,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 17.698507898143713, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.9116736325970147,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (96, 68, 143, 129, 72, 21, 26): {'total_predicted_rating': 17.39897090630314,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.071142418525167,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.5298165191341555,\n",
       "   3.1150944141398007,\n",
       "   2.7584170897749667]},\n",
       " (101,\n",
       "  110,\n",
       "  5,\n",
       "  43,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.745872017961716, 'predicted_rating_list': [2.6069788841386696,\n",
       "   2.473754834507224,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (139,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  74): {'total_predicted_rating': 18.620020058979456, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.3685056435404466]},\n",
       " (96, 43, 8, 161, 148, 0, 95): {'total_predicted_rating': 18.920405791277705,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (56,\n",
       "  133,\n",
       "  26,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.451759885336564, 'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  148,\n",
       "  139,\n",
       "  68,\n",
       "  57): {'total_predicted_rating': 19.262473980222378, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (17, 161, 96, 101, 43): {'total_predicted_rating': 14.41710605380026,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   3.1677902937206133,\n",
       "   2.340282286250237,\n",
       "   2.6069788841386696,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 10, 143, 129): {'total_predicted_rating': 15.432212553122477,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (37, 161, 17, 8, 1, 146): {'total_predicted_rating': 17.341763142410088,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.1497422739311833,\n",
       "   2.5058996464880656,\n",
       "   2.830462967800603]},\n",
       " (129, 41, 102, 17, 10, 172): {'total_predicted_rating': 16.526259232519664,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 19.231968277724057, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.701070673312948, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (56, 68, 194, 8, 41, 94, 2): {'total_predicted_rating': 18.483429945382934,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.1497422739311833,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.5612502978393095]},\n",
       " (57, 133, 26, 148, 139, 68): {'total_predicted_rating': 16.131634803681013,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167]},\n",
       " (8,\n",
       "  161,\n",
       "  17,\n",
       "  96,\n",
       "  110,\n",
       "  146,\n",
       "  129): {'total_predicted_rating': 18.218695991246136, 'predicted_rating_list': [2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.473754834507224,\n",
       "   2.830462967800603,\n",
       "   2.070475337306837]},\n",
       " (8, 43, 96, 161, 148, 0): {'total_predicted_rating': 16.344352915063553,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.1158665919613036,\n",
       "   2.340282286250237,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563]},\n",
       " (163, 68, 1, 10, 101, 161, 43): {'total_predicted_rating': 19.45045195706361,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 18.98829993727401, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (148, 68, 1, 161, 146): {'total_predicted_rating': 13.775147146532102,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.1677902937206133,\n",
       "   2.830462967800603]},\n",
       " (139, 23, 8, 10, 101, 161): {'total_predicted_rating': 16.650382698806393,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1673796377152557,\n",
       "   2.1497422739311833,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133]},\n",
       " (129, 41, 102, 10, 146, 148): {'total_predicted_rating': 16.89976548741075,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 19.690738777621686, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (72, 101, 163, 146, 10, 161): {'total_predicted_rating': 17.117822787023833,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (96, 1, 10, 101, 161, 43): {'total_predicted_rating': 16.807918192191664,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 56, 143, 129, 10, 146): {'total_predicted_rating': 16.96397511576877,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (148, 163, 1, 10, 101, 161, 57): {'total_predicted_rating': 20.83501660132532,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.9116736325970147,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.371721834750526]},\n",
       " (56,\n",
       "  133,\n",
       "  26,\n",
       "  148,\n",
       "  139,\n",
       "  68,\n",
       "  161): {'total_predicted_rating': 19.206044922510024, 'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   3.1677902937206133]},\n",
       " (148, 110, 1, 10, 36, 129): {'total_predicted_rating': 16.47848124061638,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.473754834507224,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.070475337306837]},\n",
       " (37, 161, 17, 96, 101, 21): {'total_predicted_rating': 17.918013838718945,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.6069788841386696,\n",
       "   3.1150944141398007]},\n",
       " (110,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 18.262202951783582, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (57,\n",
       "  68,\n",
       "  146,\n",
       "  10,\n",
       "  101,\n",
       "  161,\n",
       "  81): {'total_predicted_rating': 19.813595452022128, 'predicted_rating_list': [3.371721834750526,\n",
       "   2.071142418525167,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   2.694398563453769]},\n",
       " (37, 161, 17, 96, 36, 143, 26): {'total_predicted_rating': 20.625499584071243,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   3.1573991126838234,\n",
       "   2.5137428411719784,\n",
       "   2.7584170897749667]},\n",
       " (140, 68, 194, 2, 41, 94, 129): {'total_predicted_rating': 18.08618181737315,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.070475337306837]},\n",
       " (110, 23, 5, 43, 66, 139, 172): {'total_predicted_rating': 19.076556071329843,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.913686922376951,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (140, 68, 94, 8, 41, 161): {'total_predicted_rating': 16.31330431861677,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.529431333408977,\n",
       "   2.1497422739311833,\n",
       "   3.4348375305573473,\n",
       "   3.1677902937206133]},\n",
       " (101, 23, 1, 10, 161, 43): {'total_predicted_rating': 17.635015543656685,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 23, 5, 43, 36, 139, 95): {'total_predicted_rating': 20.151797588163564,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   3.1573991126838234,\n",
       "   2.4873911196678953,\n",
       "   2.5760528762141512]},\n",
       " (37, 23, 5, 148, 72, 139): {'total_predicted_rating': 17.333975489178627,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.199851819997653,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  66,\n",
       "  10,\n",
       "  146,\n",
       "  172): {'total_predicted_rating': 19.418237702269202, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.4706205351777335]},\n",
       " (56, 133, 26, 66, 139, 68, 161): {'total_predicted_rating': 18.91988002488932,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   2.913686922376951,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   3.1677902937206133]},\n",
       " (96, 41, 146, 17, 10, 172, 81): {'total_predicted_rating': 20.027890370601906,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.4348375305573473,\n",
       "   2.830462967800603,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.694398563453769]},\n",
       " (129, 56, 143, 94, 146, 101): {'total_predicted_rating': 15.829433023685986,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.529431333408977,\n",
       "   2.830462967800603,\n",
       "   2.6069788841386696]},\n",
       " (72, 172, 94, 140, 1): {'total_predicted_rating': 12.996128502682412,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.4706205351777335,\n",
       "   2.529431333408977,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656]},\n",
       " (8, 23, 5, 43, 72, 103): {'total_predicted_rating': 15.526881495195754,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.116220042530374]},\n",
       " (37,\n",
       "  161,\n",
       "  133,\n",
       "  56,\n",
       "  81,\n",
       "  140,\n",
       "  26): {'total_predicted_rating': 20.604098558986742, 'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   2.243110520964807,\n",
       "   3.278341659858921,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   2.7584170897749667]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  74,\n",
       "  1,\n",
       "  21,\n",
       "  129): {'total_predicted_rating': 17.330979237567348, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.3685056435404466,\n",
       "   2.5058996464880656,\n",
       "   3.1150944141398007,\n",
       "   2.070475337306837]},\n",
       " (17, 68, 194, 2, 41, 94, 172): {'total_predicted_rating': 18.7121545445,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.4706205351777335]},\n",
       " (37, 163, 5, 43, 72, 139, 81): {'total_predicted_rating': 19.68868281947781,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.9116736325970147,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.694398563453769]},\n",
       " (37, 41, 5, 56, 72, 21, 74): {'total_predicted_rating': 20.676132159894344,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.4348375305573473,\n",
       "   2.447856429923483,\n",
       "   3.278341659858921,\n",
       "   2.5298165191341555,\n",
       "   3.1150944141398007,\n",
       "   2.3685056435404466]},\n",
       " (101, 2, 102, 17, 10, 72, 146): {'total_predicted_rating': 19.078834498390485,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   2.5612502978393095,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.5298165191341555,\n",
       "   2.830462967800603]},\n",
       " (37, 161, 17, 96, 66, 143, 74): {'total_predicted_rating': 19.99187594752985,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.913686922376951,\n",
       "   2.5137428411719784,\n",
       "   2.3685056435404466]},\n",
       " (140, 68, 133, 74, 41, 94): {'total_predicted_rating': 15.607387915470227,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   2.3685056435404466,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977]},\n",
       " (72, 23, 5, 56, 139, 172): {'total_predicted_rating': 16.381405901477443,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.278341659858921,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (148, 68, 1, 8, 101, 161): {'total_predicted_rating': 15.70140533680135,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.1497422739311833,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133]},\n",
       " (8, 101, 163, 146, 36, 21, 161): {'total_predicted_rating': 19.93914157901171,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.1573991126838234,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (96, 163, 8, 161, 0, 95): {'total_predicted_rating': 15.51636101191576,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.9116736325970147,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139,\n",
       "  68,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  161,\n",
       "  148): {'total_predicted_rating': 18.581494320022923, 'predicted_rating_list': [2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653]},\n",
       " (140, 68, 194, 2, 10, 146, 148): {'total_predicted_rating': 19.15285289353102,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  41,\n",
       "  94,\n",
       "  133): {'total_predicted_rating': 18.410221509519104, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.243110520964807]},\n",
       " (8, 41, 102, 74, 1, 172, 146): {'total_predicted_rating': 18.053105939610916,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.3685056435404466,\n",
       "   2.5058996464880656,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (72, 101, 163, 10, 161): {'total_predicted_rating': 14.28735981922323,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (148, 68, 1, 94, 10, 21, 161): {'total_predicted_rating': 19.660310415913052,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (110, 103, 133, 101, 140, 23): {'total_predicted_rating': 15.56780438832981,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  8,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  133): {'total_predicted_rating': 17.547280857231502, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   2.243110520964807]},\n",
       " (72,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 19.816063382147586, 'predicted_rating_list': [2.5298165191341555,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  21,\n",
       "  146): {'total_predicted_rating': 20.001196079282334, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.830462967800603]},\n",
       " (37,\n",
       "  161,\n",
       "  17,\n",
       "  66,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 21.870760453998223, 'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 56, 143, 1, 36): {'total_predicted_rating': 13.795665546453026,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.5058996464880656,\n",
       "   3.1573991126838234]},\n",
       " (72, 23, 194, 2, 41, 94, 81): {'total_predicted_rating': 19.375798313370844,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1673796377152557,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  68,\n",
       "  1,\n",
       "  148,\n",
       "  101,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 19.627890123304955, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.199851819997653,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (96,\n",
       "  23,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.603783721856303, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.1673796377152557,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  101,\n",
       "  143,\n",
       "  148,\n",
       "  56,\n",
       "  146,\n",
       "  95): {'total_predicted_rating': 19.535247568316134, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.5137428411719784,\n",
       "   3.199851819997653,\n",
       "   3.278341659858921,\n",
       "   2.830462967800603,\n",
       "   2.5760528762141512]},\n",
       " (139,\n",
       "  43,\n",
       "  143,\n",
       "  129,\n",
       "  1,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 18.723690324394337, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.5058996464880656,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 56, 8, 161, 148, 0, 81): {'total_predicted_rating': 19.20122654641494,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.694398563453769]},\n",
       " (96,\n",
       "  56,\n",
       "  26,\n",
       "  148,\n",
       "  110,\n",
       "  163,\n",
       "  74): {'total_predicted_rating': 19.330826966526466, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.473754834507224,\n",
       "   2.9116736325970147,\n",
       "   2.3685056435404466]},\n",
       " (56,\n",
       "  133,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  161): {'total_predicted_rating': 19.175024110456537, 'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  95): {'total_predicted_rating': 18.108794988372267, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   2.5760528762141512]},\n",
       " (8, 43, 56, 148, 0, 23): {'total_predicted_rating': 17.28200163266688,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.1158665919613036,\n",
       "   3.278341659858921,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   3.1673796377152557]},\n",
       " (101, 23, 5, 56, 36, 10, 146): {'total_predicted_rating': 20.55951918175353,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.278341659858921,\n",
       "   3.1573991126838234,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (139, 43, 96, 161, 148, 0, 81): {'total_predicted_rating': 19.376400324254035,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.340282286250237,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.694398563453769]},\n",
       " (8, 143, 129, 66, 146, 81): {'total_predicted_rating': 15.17250890604132,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.913686922376951,\n",
       "   2.830462967800603,\n",
       "   2.694398563453769]},\n",
       " (96, 56, 148, 143, 129, 194): {'total_predicted_rating': 15.861378375847655,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  26): {'total_predicted_rating': 19.823543997217985, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.7584170897749667]},\n",
       " (26,\n",
       "  8,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  161): {'total_predicted_rating': 18.318704087165262, 'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.1677902937206133]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  148,\n",
       "  110,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 19.75561375016651, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.199851819997653,\n",
       "   2.473754834507224,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 17, 10, 172, 146): {'total_predicted_rating': 19.335265875351435,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (110,\n",
       "  101,\n",
       "  41,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.700019414497035, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.6069788841386696,\n",
       "   3.4348375305573473,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (110, 68, 96, 2, 101, 161, 43): {'total_predicted_rating': 18.337065606942524,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.071142418525167,\n",
       "   2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 8, 41, 101, 81): {'total_predicted_rating': 18.662851137091856,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.1497422739311833,\n",
       "   3.4348375305573473,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 143, 129, 56): {'total_predicted_rating': 15.352747156598413,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.278341659858921]},\n",
       " (26, 8, 148, 2, 41, 94, 81): {'total_predicted_rating': 19.32792890896321,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (37, 68, 1, 129, 10, 146): {'total_predicted_rating': 16.050760822493636,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (96, 56, 143, 10, 101, 161, 43): {'total_predicted_rating': 20.0941030467345,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (139, 68, 8, 10, 36, 74, 146): {'total_predicted_rating': 18.135744025781896,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   2.1497422739311833,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (110, 26, 41, 161, 0, 95): {'total_predicted_rating': 16.781672273976866,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   3.4348375305573473,\n",
       "   3.1677902937206133,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (129, 41, 94, 10, 172, 146): {'total_predicted_rating': 16.406928193884276,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (140, 68, 194, 2, 41, 72, 81): {'total_predicted_rating': 18.71049022924526,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.5298165191341555,\n",
       "   2.694398563453769]},\n",
       " (139,\n",
       "  43,\n",
       "  8,\n",
       "  161,\n",
       "  148,\n",
       "  163,\n",
       "  95): {'total_predicted_rating': 19.608368608089815, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.9116736325970147,\n",
       "   2.5760528762141512]},\n",
       " (72, 41, 102, 56, 10, 172, 146): {'total_predicted_rating': 19.90821704427707,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.278341659858921,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (140, 23, 146, 101, 81): {'total_predicted_rating': 14.259580521581778,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   3.1673796377152557,\n",
       "   2.830462967800603,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  23,\n",
       "  194,\n",
       "  2,\n",
       "  41,\n",
       "  101,\n",
       "  146): {'total_predicted_rating': 20.019954217786694, 'predicted_rating_list': [2.960360468473481,\n",
       "   3.1673796377152557,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603]},\n",
       " (140,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  81): {'total_predicted_rating': 20.110542927140077, 'predicted_rating_list': [2.960360468473481,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.694398563453769]},\n",
       " (139,\n",
       "  43,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  81): {'total_predicted_rating': 20.225987779253163, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.694398563453769]},\n",
       " (72, 101, 146, 161, 36, 0, 95): {'total_predicted_rating': 19.23932030289458,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133,\n",
       "   3.1573991126838234,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (96,\n",
       "  56,\n",
       "  94,\n",
       "  129,\n",
       "  10,\n",
       "  161,\n",
       "  148): {'total_predicted_rating': 19.657273220176016, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.529431333408977,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  101,\n",
       "  148): {'total_predicted_rating': 19.080773318357075, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.199851819997653]},\n",
       " (72, 101, 163, 146, 10, 103): {'total_predicted_rating': 16.06625253583359,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.116220042530374]},\n",
       " (72, 172, 0, 140, 1, 23, 161): {'total_predicted_rating': 19.17268674991187,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.4706205351777335,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   3.1677902937206133]},\n",
       " (140,\n",
       "  26,\n",
       "  96,\n",
       "  148,\n",
       "  101,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 20.149547434316922, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.7584170897749667,\n",
       "   2.340282286250237,\n",
       "   3.199851819997653,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 41, 10, 36, 74, 146): {'total_predicted_rating': 20.133299982737814,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   3.4348375305573473,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (140,\n",
       "  68,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.88291221945473, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 41, 194, 2, 94, 81): {'total_predicted_rating': 15.749077493828269,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (96, 1, 133, 94, 81, 140, 23): {'total_predicted_rating': 18.440862456754594,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.243110520964807,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163, 68, 41, 129, 10, 146, 148): {'total_predicted_rating': 19.5895441964174,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.071142418525167,\n",
       "   3.4348375305573473,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (72, 68, 163, 56, 10, 172): {'total_predicted_rating': 16.332695254925767,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.9116736325970147,\n",
       "   3.278341659858921,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.338523405202345, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (140, 163, 96, 41, 94, 74): {'total_predicted_rating': 16.545090894827503,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.9116736325970147,\n",
       "   2.340282286250237,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.3685056435404466]},\n",
       " (148, 68, 1, 10, 101, 161, 81): {'total_predicted_rating': 19.317162115956716,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   2.694398563453769]},\n",
       " (163,\n",
       "  103,\n",
       "  148,\n",
       "  101,\n",
       "  110,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.436219319959672, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   3.199851819997653,\n",
       "   2.6069788841386696,\n",
       "   2.473754834507224,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  148,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.602306053360685, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  133): {'total_predicted_rating': 18.76936975348447, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.243110520964807]},\n",
       " (148, 68, 1, 10, 101, 161): {'total_predicted_rating': 16.622763552502946,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133]},\n",
       " (17, 2, 102, 143, 194, 163): {'total_predicted_rating': 15.924576542715302,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.5612502978393095,\n",
       "   2.2930373421155346,\n",
       "   2.5137428411719784,\n",
       "   2.4586844312620286,\n",
       "   2.9116736325970147]},\n",
       " (140, 110, 148, 17, 172, 146): {'total_predicted_rating': 17.121238623686132,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.473754834507224,\n",
       "   3.199851819997653,\n",
       "   3.186187997729436,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (17, 101, 96, 66, 36, 10, 161): {'total_predicted_rating': 20.443425986532507,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.6069788841386696,\n",
       "   2.340282286250237,\n",
       "   2.913686922376951,\n",
       "   3.1573991126838234,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (110, 1, 163, 146, 21, 161): {'total_predicted_rating': 17.004675789253323,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.5058996464880656,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (140,\n",
       "  43,\n",
       "  8,\n",
       "  161,\n",
       "  148,\n",
       "  143,\n",
       "  129): {'total_predicted_rating': 19.17782962656305, 'predicted_rating_list': [2.960360468473481,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (37, 161, 17, 74, 1, 0, 95): {'total_predicted_rating': 19.676936069635463,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.3685056435404466,\n",
       "   2.5058996464880656,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (17, 68, 1, 10, 101, 161, 43): {'total_predicted_rating': 19.724966322196032,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 133, 26, 66, 163, 57): {'total_predicted_rating': 17.398461820461918,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   2.913686922376951,\n",
       "   2.9116736325970147,\n",
       "   3.371721834750526]},\n",
       " (140, 68, 194, 2, 41, 94, 161): {'total_predicted_rating': 19.183496773786924,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  101,\n",
       "  133,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 19.564354089531427, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.243110520964807,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  1,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.791521357175554, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   2.5058996464880656,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (139, 43, 146, 163, 21, 161): {'total_predicted_rating': 17.62827901988723,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.830462967800603,\n",
       "   2.9116736325970147,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  161,\n",
       "  148,\n",
       "  0,\n",
       "  95): {'total_predicted_rating': 19.362983675004823, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (129, 41, 102, 17, 10, 172, 57): {'total_predicted_rating': 19.89798106727019,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   3.371721834750526]},\n",
       " (56,\n",
       "  133,\n",
       "  26,\n",
       "  148,\n",
       "  139,\n",
       "  68,\n",
       "  146): {'total_predicted_rating': 18.868717596590013, 'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   2.830462967800603]},\n",
       " (110, 1, 139, 10, 36, 74, 146): {'total_predicted_rating': 18.894513814320835,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.5058996464880656,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (72, 110, 146, 2, 41, 0, 95): {'total_predicted_rating': 18.776994675255356,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.473754834507224,\n",
       "   2.830462967800603,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139, 43, 8, 161, 148, 94, 81): {'total_predicted_rating': 19.344471996141397,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (37, 23, 96, 56, 143, 129): {'total_predicted_rating': 16.87190172504342,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1673796377152557,\n",
       "   2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (129,\n",
       "  1,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.427784316250985, 'predicted_rating_list': [2.070475337306837,\n",
       "   2.5058996464880656,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  101,\n",
       "  95): {'total_predicted_rating': 19.238670457694752, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.5760528762141512]},\n",
       " (148, 68, 1, 74, 101, 161, 133): {'total_predicted_rating': 18.16327922737542,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.3685056435404466,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   2.243110520964807]},\n",
       " (72, 133, 26, 148, 139, 68, 57): {'total_predicted_rating': 18.66145132281517,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (56, 101, 163, 146, 10, 21, 161): {'total_predicted_rating': 20.9814423418884,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 163, 56, 161): {'total_predicted_rating': 14.494600989449374,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.278341659858921,\n",
       "   3.1677902937206133]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  2): {'total_predicted_rating': 18.093992409997423, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   2.5612502978393095]},\n",
       " (101, 23, 5, 43, 72, 74, 146): {'total_predicted_rating': 19.066866674213916,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (110, 26, 139, 94, 10, 172): {'total_predicted_rating': 15.790715402169575,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335]},\n",
       " (96, 56, 146, 129, 10, 161): {'total_predicted_rating': 16.75845303456999,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.830462967800603,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (139, 43, 133, 161, 148, 0): {'total_predicted_rating': 16.584829995514838,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.243110520964807,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563]},\n",
       " (110, 56, 143, 129, 1, 146, 95): {'total_predicted_rating': 18.24873016334778,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.5058996464880656,\n",
       "   2.830462967800603,\n",
       "   2.5760528762141512]},\n",
       " (96, 56, 41, 10, 36, 74, 146): {'total_predicted_rating': 20.480929690324157,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (110, 26, 139, 129, 101, 148): {'total_predicted_rating': 15.596869085393246,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   2.070475337306837,\n",
       "   2.6069788841386696,\n",
       "   3.199851819997653]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  163,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 19.197295343284505, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   2.9116736325970147,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (110, 26, 133, 10, 101, 146): {'total_predicted_rating': 15.983824786819048,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.243110520964807,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603]},\n",
       " (57,\n",
       "  163,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 20.13480479980362, 'predicted_rating_list': [3.371721834750526,\n",
       "   2.9116736325970147,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (37,\n",
       "  161,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.35510371237065, 'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 56, 17, 1, 143, 129): {'total_predicted_rating': 15.894929768805476,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.186187997729436,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  148,\n",
       "  36,\n",
       "  74,\n",
       "  146): {'total_predicted_rating': 18.82722374011472, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   3.199851819997653,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (110,\n",
       "  26,\n",
       "  139,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  2): {'total_predicted_rating': 18.542551257855315, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   2.5612502978393095]},\n",
       " (96, 2, 143, 74, 10, 146, 148): {'total_predicted_rating': 18.885196346233005,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   2.5137428411719784,\n",
       "   2.3685056435404466,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (72, 101, 163, 146, 10, 21, 81): {'total_predicted_rating': 19.75952547089679,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.694398563453769]},\n",
       " (72,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  161): {'total_predicted_rating': 19.461730108625886, 'predicted_rating_list': [2.5298165191341555,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133]},\n",
       " (139, 172, 146, 140, 1, 103): {'total_predicted_rating': 15.370954780138153,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   2.116220042530374]},\n",
       " (101, 23, 194, 2, 41, 94, 81): {'total_predicted_rating': 19.45296067837536,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  68,\n",
       "  94,\n",
       "  43,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 18.164628986348717, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.529431333408977,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (101,\n",
       "  23,\n",
       "  139,\n",
       "  10,\n",
       "  36,\n",
       "  74,\n",
       "  146): {'total_predicted_rating': 19.689217855179468, 'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (110,\n",
       "  26,\n",
       "  146,\n",
       "  8,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 17.700205339993765, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.830462967800603,\n",
       "   2.1497422739311833,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (96, 56, 36, 129, 10, 161): {'total_predicted_rating': 17.08538917945321,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.1573991126838234,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (26, 8, 148, 143, 129, 72): {'total_predicted_rating': 15.222045881316774,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.5298165191341555]},\n",
       " (8,\n",
       "  133,\n",
       "  94,\n",
       "  148,\n",
       "  139,\n",
       "  68,\n",
       "  172): {'total_predicted_rating': 17.151290021673418, 'predicted_rating_list': [2.1497422739311833,\n",
       "   2.243110520964807,\n",
       "   2.529431333408977,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 5, 43, 72, 10, 57): {'total_predicted_rating': 20.310720387256172,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   3.071100489632776,\n",
       "   3.371721834750526]},\n",
       " (72, 2, 5, 43, 139, 172): {'total_predicted_rating': 15.61280149370388,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5612502978393095,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  163,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.144830544983247, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (110,\n",
       "  101,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 18.766367174555743, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.6069788841386696,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  148,\n",
       "  10,\n",
       "  163,\n",
       "  103): {'total_predicted_rating': 19.431212772038954, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.9116736325970147,\n",
       "   2.116220042530374]},\n",
       " (139, 36, 0, 140, 1, 163, 148): {'total_predicted_rating': 19.593395449110496,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1573991126838234,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   2.9116736325970147,\n",
       "   3.199851819997653]},\n",
       " (26,\n",
       "  110,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  146): {'total_predicted_rating': 18.30538932182129, 'predicted_rating_list': [2.7584170897749667,\n",
       "   2.473754834507224,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   2.830462967800603]},\n",
       " (110, 26, 139, 66, 36, 74, 56): {'total_predicted_rating': 19.437496382410227,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   2.913686922376951,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   3.278341659858921]},\n",
       " (110,\n",
       "  26,\n",
       "  133,\n",
       "  10,\n",
       "  36,\n",
       "  74,\n",
       "  146): {'total_predicted_rating': 18.902750658904647, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.243110520964807,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (17,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.150163113498206, 'predicted_rating_list': [3.186187997729436,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (57,\n",
       "  23,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.224734928375632, 'predicted_rating_list': [3.371721834750526,\n",
       "   3.1673796377152557,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (163,\n",
       "  2,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.145152005182307, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.5612502978393095,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (148, 68, 1, 10, 101, 172): {'total_predicted_rating': 15.925593793960065,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 96, 43, 72, 139): {'total_predicted_rating': 16.247715038867515,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.340282286250237,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953]},\n",
       " (148,\n",
       "  68,\n",
       "  102,\n",
       "  66,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.84990249562642, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.2930373421155346,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 41, 1, 10, 110, 161, 43): {'total_predicted_rating': 19.839724724174168,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.473754834507224,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (163, 103, 133, 101, 81, 10, 2): {'total_predicted_rating': 18.20473243115672,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   3.071100489632776,\n",
       "   2.5612502978393095]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  66,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 18.919410108796555, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.913686922376951,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (37,\n",
       "  103,\n",
       "  133,\n",
       "  66,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.596836118254824, 'predicted_rating_list': [3.5016799627401873,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.913686922376951,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (96, 56, 143, 129, 146, 148): {'total_predicted_rating': 16.23315691238623,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (37, 41, 102, 17, 10, 172, 146): {'total_predicted_rating': 20.78792682575362,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (8, 101, 94, 146, 10, 21, 161): {'total_predicted_rating': 19.470600656772625,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.6069788841386696,\n",
       "   2.529431333408977,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (57,\n",
       "  2,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  56): {'total_predicted_rating': 19.454068222187253, 'predicted_rating_list': [3.371721834750526,\n",
       "   2.5612502978393095,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (26,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.722392205543738, 'predicted_rating_list': [2.7584170897749667,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (148, 68, 8, 161, 66, 95): {'total_predicted_rating': 16.07826660476572,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   2.913686922376951,\n",
       "   2.5760528762141512]},\n",
       " (72, 43, 1, 10, 101, 161): {'total_predicted_rating': 16.997452425075583,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1158665919613036,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133]},\n",
       " (37, 56, 94, 129, 10, 21, 161): {'total_predicted_rating': 20.733913490808114,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.278341659858921,\n",
       "   2.529431333408977,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 96, 10, 148): {'total_predicted_rating': 13.748029999153491,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   3.199851819997653]},\n",
       " (139, 43, 8, 56, 10, 21): {'total_predicted_rating': 17.21753654919188,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.278341659858921,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007]},\n",
       " (72, 2, 163, 146, 10, 0, 95): {'total_predicted_rating': 18.851176432420576,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5612502978393095,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (17, 41, 102, 10, 146): {'total_predicted_rating': 14.815626327835696,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (37, 1, 163, 146, 10, 21, 161): {'total_predicted_rating': 21.10370140711906,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.5058996464880656,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 68, 17, 96, 1, 21, 129): {'total_predicted_rating': 17.818898619573698,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   3.1150944141398007,\n",
       "   2.070475337306837]},\n",
       " (96, 56, 143, 129, 10, 146, 23): {'total_predicted_rating': 19.27178521973661,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  56,\n",
       "  66,\n",
       "  140,\n",
       "  148): {'total_predicted_rating': 19.623245066799203, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   3.278341659858921,\n",
       "   2.913686922376951,\n",
       "   2.960360468473481,\n",
       "   3.199851819997653]},\n",
       " (139,\n",
       "  163,\n",
       "  146,\n",
       "  140,\n",
       "  110,\n",
       "  23,\n",
       "  81): {'total_predicted_rating': 19.525421224215243, 'predicted_rating_list': [2.4873911196678953,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   2.960360468473481,\n",
       "   2.473754834507224,\n",
       "   3.1673796377152557,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 2, 41, 94, 103): {'total_predicted_rating': 18.131926522596686,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.116220042530374]},\n",
       " (72, 2, 163, 146, 10): {'total_predicted_rating': 13.90430390700386,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5612502978393095,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  148,\n",
       "  139,\n",
       "  72,\n",
       "  95): {'total_predicted_rating': 18.925479122294995, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.5298165191341555,\n",
       "   2.5760528762141512]},\n",
       " (56, 133, 26, 148, 10, 146): {'total_predicted_rating': 17.381284548029726,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (139, 43, 146, 148, 10, 172): {'total_predicted_rating': 17.175293524237965,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  148,\n",
       "  146,\n",
       "  95): {'total_predicted_rating': 19.590905871721564, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.199851819997653,\n",
       "   2.830462967800603,\n",
       "   2.5760528762141512]},\n",
       " (96, 56, 148, 129, 10, 21, 161): {'total_predicted_rating': 20.24293630090684,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.199851819997653,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (140, 68, 194, 1, 23, 103): {'total_predicted_rating': 15.279686644994372,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (57, 1, 0, 2, 41, 94, 81): {'total_predicted_rating': 19.468358855700558,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   2.5058996464880656,\n",
       "   2.370819649202563,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (148, 110, 1, 10, 36, 21, 161): {'total_predicted_rating': 20.690890611169955,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.473754834507224,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 20.233689378985137, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (72, 101, 133, 94, 10, 21, 148): {'total_predicted_rating': 19.29538398141684,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.243110520964807,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.199851819997653]},\n",
       " (96, 56, 146, 129, 10, 133): {'total_predicted_rating': 15.833773261814182,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.830462967800603,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.243110520964807]},\n",
       " (163,\n",
       "  8,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  56): {'total_predicted_rating': 18.582511996125618, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (26,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 18.546865207051322, 'predicted_rating_list': [2.7584170897749667,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163, 1, 36, 74, 81, 21, 133): {'total_predicted_rating': 18.996081533867724,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.5058996464880656,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.694398563453769,\n",
       "   3.1150944141398007,\n",
       "   2.243110520964807]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  95): {'total_predicted_rating': 19.641179783657172, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.5760528762141512]},\n",
       " (26,\n",
       "  23,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  57): {'total_predicted_rating': 20.152689050349995, 'predicted_rating_list': [2.7584170897749667,\n",
       "   3.1673796377152557,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.371721834750526]},\n",
       " (8, 133, 41, 148, 139, 194): {'total_predicted_rating': 15.973617696380915,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.243110520964807,\n",
       "   3.4348375305573473,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.4586844312620286]},\n",
       " (101,\n",
       "  23,\n",
       "  5,\n",
       "  148,\n",
       "  72,\n",
       "  163,\n",
       "  146): {'total_predicted_rating': 19.694019891306834, 'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.199851819997653,\n",
       "   2.5298165191341555,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603]},\n",
       " (96, 56, 163, 146, 10, 21, 26): {'total_predicted_rating': 20.30537254005432,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.7584170897749667]},\n",
       " (72,\n",
       "  163,\n",
       "  41,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.048218297026388, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.9116736325970147,\n",
       "   3.4348375305573473,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (101,\n",
       "  23,\n",
       "  133,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.201917208112526, 'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.243110520964807,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 5, 43, 139, 172): {'total_predicted_rating': 15.65853008000324,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (140, 68, 41, 2, 94, 81): {'total_predicted_rating': 16.251420612258052,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   3.4348375305573473,\n",
       "   2.5612502978393095,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (26, 68, 148, 143, 10, 194, 56): {'total_predicted_rating': 19.35128075022349,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.071142418525167,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   3.071100489632776,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (110, 23, 5, 43, 72, 21, 146): {'total_predicted_rating': 19.680231395181824,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   3.1150944141398007,\n",
       "   2.830462967800603]},\n",
       " (129, 36, 102, 17, 10, 172): {'total_predicted_rating': 16.24882081464614,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.1573991126838234,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335]},\n",
       " (57,\n",
       "  56,\n",
       "  143,\n",
       "  43,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 19.767501101722512, 'predicted_rating_list': [3.371721834750526,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (37,\n",
       "  110,\n",
       "  36,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.304724524669105, 'predicted_rating_list': [3.5016799627401873,\n",
       "   2.473754834507224,\n",
       "   3.1573991126838234,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 2, 133, 10, 101, 161): {'total_predicted_rating': 15.990512772546413,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   2.243110520964807,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133]},\n",
       " (148, 68, 41, 129, 10, 146): {'total_predicted_rating': 16.677870563820385,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   3.4348375305573473,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (72, 43, 8, 161, 148, 0, 81): {'total_predicted_rating': 19.22828571140124,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 2, 41, 94, 95): {'total_predicted_rating': 18.591759356280463,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.5760528762141512]},\n",
       " (129,\n",
       "  23,\n",
       "  148,\n",
       "  10,\n",
       "  101,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 20.39944305447311, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.1673796377152557,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148,\n",
       "  68,\n",
       "  133,\n",
       "  17,\n",
       "  10,\n",
       "  21,\n",
       "  146): {'total_predicted_rating': 19.716950628790244, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.830462967800603]},\n",
       " (139, 1, 94, 140, 23, 103): {'total_predicted_rating': 15.766682248284049,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.5058996464880656,\n",
       "   2.529431333408977,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 19.556827322081165, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (96, 56, 133, 101, 81, 140, 23): {'total_predicted_rating': 19.29085202085514,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163, 103, 148, 66, 10, 21): {'total_predicted_rating': 17.32762732127457,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   3.199851819997653,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007]},\n",
       " (72, 68, 194, 2, 81, 23): {'total_predicted_rating': 15.482671867929685,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   2.694398563453769,\n",
       "   3.1673796377152557]},\n",
       " (140,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  41,\n",
       "  94,\n",
       "  81): {'total_predicted_rating': 18.585337343527428, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (72, 101, 163, 146, 21, 161): {'total_predicted_rating': 17.161816711530857,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (140, 68, 194, 2, 36, 94, 81): {'total_predicted_rating': 18.432666625646558,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.1573991126838234,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 133, 26, 148, 66, 68, 74): {'total_predicted_rating': 18.51507488365347,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.913686922376951,\n",
       "   2.071142418525167,\n",
       "   2.3685056435404466]},\n",
       " (56, 68, 194, 94, 36, 81): {'total_predicted_rating': 16.189397519192685,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.529431333408977,\n",
       "   3.1573991126838234,\n",
       "   2.694398563453769]},\n",
       " (72, 101, 163, 146, 36, 21): {'total_predicted_rating': 17.151425530494066,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.1573991126838234,\n",
       "   3.1150944141398007]},\n",
       " (140,\n",
       "  26,\n",
       "  139,\n",
       "  10,\n",
       "  36,\n",
       "  74,\n",
       "  161): {'total_predicted_rating': 19.970964217494004, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   3.1677902937206133]},\n",
       " (96, 56, 143, 129, 10, 163): {'total_predicted_rating': 16.185616246817766,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.9116736325970147]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  94,\n",
       "  10,\n",
       "  172,\n",
       "  148): {'total_predicted_rating': 19.06935438819686, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   3.199851819997653]},\n",
       " (101, 23, 163, 66, 10, 21, 95): {'total_predicted_rating': 20.36196685681462,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.9116736325970147,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.5760528762141512]},\n",
       " (72, 101, 146, 43, 139, 172): {'total_predicted_rating': 16.041136617880362,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603,\n",
       "   3.1158665919613036,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (56, 133, 26, 66, 139, 23, 103): {'total_predicted_rating': 18.96454699288917,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   2.913686922376951,\n",
       "   2.4873911196678953,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (139, 172, 0, 148, 1, 68, 57): {'total_predicted_rating': 18.477447023809603,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   2.370819649202563,\n",
       "   3.199851819997653,\n",
       "   2.5058996464880656,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (37, 68, 1, 10, 101, 161, 43): {'total_predicted_rating': 20.040458287206782,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148,\n",
       "  2,\n",
       "  17,\n",
       "  96,\n",
       "  110,\n",
       "  143,\n",
       "  129): {'total_predicted_rating': 18.345545414802675, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.5612502978393095,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.473754834507224,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (57, 26, 146, 10, 36, 74, 2): {'total_predicted_rating': 20.118857436022452,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   2.7584170897749667,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.5612502978393095]},\n",
       " (148,\n",
       "  68,\n",
       "  1,\n",
       "  10,\n",
       "  163,\n",
       "  161,\n",
       "  146): {'total_predicted_rating': 19.757921268761894, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.9116736325970147,\n",
       "   3.1677902937206133,\n",
       "   2.830462967800603]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 19.98279837527351, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 110, 163, 17, 10, 21, 146): {'total_predicted_rating': 20.11809085554101,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.473754834507224,\n",
       "   2.9116736325970147,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.830462967800603]},\n",
       " (72,\n",
       "  101,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  74): {'total_predicted_rating': 17.991082682725466, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.3685056435404466]},\n",
       " (96, 163, 146, 10, 21, 161): {'total_predicted_rating': 17.436404084141046,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (56, 163, 26, 66, 10, 21, 161): {'total_predicted_rating': 21.216104502101043,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.9116736325970147,\n",
       "   2.7584170897749667,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 68, 146, 56, 57): {'total_predicted_rating': 14.081485400069372,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.830462967800603,\n",
       "   3.278341659858921,\n",
       "   3.371721834750526]},\n",
       " (72,\n",
       "  101,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 18.822428859182672, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 163, 146, 36, 21, 161): {'total_predicted_rating': 17.522702707192092,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.1573991126838234,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (26, 8, 143, 10, 146, 148): {'total_predicted_rating': 16.52331748230916,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   2.5137428411719784,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  163,\n",
       "  161): {'total_predicted_rating': 19.35340654053838, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.9116736325970147,\n",
       "   3.1677902937206133]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  26): {'total_predicted_rating': 18.29115920193308, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   2.7584170897749667]},\n",
       " (72, 101, 163, 56, 10, 21, 161): {'total_predicted_rating': 20.68079589322195,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.278341659858921,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 163, 8, 148, 0, 95): {'total_predicted_rating': 18.34493565521539,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (140, 43, 8, 161, 10, 21): {'total_predicted_rating': 17.57995453185916,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007]},\n",
       " (139, 2, 148, 140, 1, 23, 103): {'total_predicted_rating': 18.998353032712032,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.5612502978393095,\n",
       "   3.199851819997653,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (72, 101, 41, 43, 139, 172): {'total_predicted_rating': 16.645511180637108,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   3.4348375305573473,\n",
       "   3.1158665919613036,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (37, 1, 146, 10, 21, 161): {'total_predicted_rating': 18.192027774522046,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.5058996464880656,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (148, 68, 36, 146, 10, 21, 95): {'total_predicted_rating': 20.021104098993977,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   3.1573991126838234,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.5760528762141512]},\n",
       " (72, 101, 163, 10, 161, 43): {'total_predicted_rating': 17.403226411184534,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (101,\n",
       "  23,\n",
       "  5,\n",
       "  148,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 18.909894945754843, 'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.199851819997653,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (72, 101, 163, 161, 0, 95): {'total_predicted_rating': 16.16313185500717,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.1677902937206133,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139, 43, 8, 10, 21, 161): {'total_predicted_rating': 17.106985183053574,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (57, 110, 8, 161, 0, 103): {'total_predicted_rating': 15.650048928642484,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   2.473754834507224,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   2.370819649202563,\n",
       "   2.116220042530374]},\n",
       " (139, 172, 0, 140, 1, 23, 95): {'total_predicted_rating': 18.538523932939146,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.5760528762141512]},\n",
       " (72, 2, 133, 96, 1, 143, 129): {'total_predicted_rating': 16.76457744915539,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5612502978393095,\n",
       "   2.243110520964807,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (72, 172, 0, 140, 1, 23, 74): {'total_predicted_rating': 18.3734020997317,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.4706205351777335,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.3685056435404466]},\n",
       " (72, 36, 163, 146, 10, 172): {'total_predicted_rating': 16.971073257026106,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1573991126838234,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335]},\n",
       " (72, 68, 8, 10, 101, 161): {'total_predicted_rating': 15.596570879082567,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.1497422739311833,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133]},\n",
       " (148, 68, 1, 161, 0, 21): {'total_predicted_rating': 16.430598242073863,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.1677902937206133,\n",
       "   2.370819649202563,\n",
       "   3.1150944141398007]},\n",
       " (56, 133, 26, 143, 129, 194): {'total_predicted_rating': 15.32277188033954,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286]},\n",
       " (26, 8, 41, 139, 68, 72): {'total_predicted_rating': 15.431346951590715,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.4348375305573473,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   2.5298165191341555]},\n",
       " (96, 56, 143, 146, 10, 21, 161): {'total_predicted_rating': 20.31681495257493,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  68,\n",
       "  163,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 18.68452318499421, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.9116736325970147,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  96,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 18.433425151984938, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.340282286250237,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163, 1, 96, 74, 81, 140, 23): {'total_predicted_rating': 18.94849987851827,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.5058996464880656,\n",
       "   2.340282286250237,\n",
       "   2.3685056435404466,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (110,\n",
       "  26,\n",
       "  139,\n",
       "  74,\n",
       "  36,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.546551303152693, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   2.3685056435404466,\n",
       "   3.1573991126838234,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 41, 146, 17, 10, 74): {'total_predicted_rating': 16.961569966567446,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.830462967800603,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.3685056435404466]},\n",
       " (148, 68, 1, 101, 81, 140, 23): {'total_predicted_rating': 19.20601143879206,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (37,\n",
       "  103,\n",
       "  133,\n",
       "  10,\n",
       "  56,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 20.494109561408983, 'predicted_rating_list': [3.5016799627401873,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   3.071100489632776,\n",
       "   3.278341659858921,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (96, 23, 143, 129, 72, 172): {'total_predicted_rating': 15.092317156756199,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.1673796377152557,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.5298165191341555,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 5, 43, 10, 146, 148): {'total_predicted_rating': 20.439496821169747,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (163, 133, 101, 81, 0, 95): {'total_predicted_rating': 15.403034126570974,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139, 43, 8, 161, 148, 81): {'total_predicted_rating': 16.815040662732418,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.694398563453769]},\n",
       " (163, 2, 146, 10, 21, 161): {'total_predicted_rating': 17.657372095730118,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.5612502978393095,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 133, 81, 140, 23): {'total_predicted_rating': 16.20204459388014,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.243110520964807,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (110, 2, 1, 10, 161, 146): {'total_predicted_rating': 16.61025852998859,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.5612502978393095,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   2.830462967800603]},\n",
       " (110,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  43): {'total_predicted_rating': 20.045405321681354, 'predicted_rating_list': [2.473754834507224,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   3.1158665919613036]},\n",
       " (110, 172, 146, 10, 21, 161): {'total_predicted_rating': 17.12882353497875,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (110,\n",
       "  101,\n",
       "  163,\n",
       "  140,\n",
       "  1,\n",
       "  21,\n",
       "  103): {'total_predicted_rating': 18.68998192287463, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1150944141398007,\n",
       "   2.116220042530374]},\n",
       " (96, 56, 163, 146, 10, 21, 161): {'total_predicted_rating': 20.71474574399997,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (101, 23, 5, 43, 110, 139, 74): {'total_predicted_rating': 18.667733141454278,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.473754834507224,\n",
       "   2.4873911196678953,\n",
       "   2.3685056435404466]},\n",
       " (57, 36, 26, 96, 139, 68, 95): {'total_predicted_rating': 18.76240673786677,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   3.1573991126838234,\n",
       "   2.7584170897749667,\n",
       "   2.340282286250237,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   2.5760528762141512]},\n",
       " (56,\n",
       "  133,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 19.372861513279812, 'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (140, 68, 194, 2, 56, 94, 81): {'total_predicted_rating': 18.553609172821655,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.278341659858921,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (139,\n",
       "  43,\n",
       "  8,\n",
       "  66,\n",
       "  163,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.608675328332605, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   2.913686922376951,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  2,\n",
       "  143,\n",
       "  129,\n",
       "  148,\n",
       "  146,\n",
       "  95): {'total_predicted_rating': 18.092118426580768, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.199851819997653,\n",
       "   2.830462967800603,\n",
       "   2.5760528762141512]},\n",
       " (8, 148, 66, 36, 163, 56): {'total_predicted_rating': 17.610695421445545,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.913686922376951,\n",
       "   3.1573991126838234,\n",
       "   2.9116736325970147,\n",
       "   3.278341659858921]},\n",
       " (96, 56, 41, 148, 10, 72): {'total_predicted_rating': 17.85423030543109,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.5298165191341555]},\n",
       " (139, 43, 8, 96, 110, 57): {'total_predicted_rating': 15.938758941068368,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   2.340282286250237,\n",
       "   2.473754834507224,\n",
       "   3.371721834750526]},\n",
       " (56, 133, 41, 161, 148, 0, 81): {'total_predicted_rating': 20.389150037755673,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   3.4348375305573473,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.694398563453769]},\n",
       " (139, 172, 36, 140, 1, 23): {'total_predicted_rating': 16.749050520206254,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   3.1573991126838234,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557]},\n",
       " (17, 103, 133, 101, 1): {'total_predicted_rating': 12.658397091851352,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.5058996464880656]},\n",
       " (139,\n",
       "  43,\n",
       "  133,\n",
       "  140,\n",
       "  36,\n",
       "  23,\n",
       "  103): {'total_predicted_rating': 19.24772749399694, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.243110520964807,\n",
       "   2.960360468473481,\n",
       "   3.1573991126838234,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (139, 163, 8, 161, 148, 0, 95): {'total_predicted_rating': 18.863321665331075,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.9116736325970147,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139, 41, 96, 17, 10, 172, 146): {'total_predicted_rating': 19.82088292681603,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.4348375305573473,\n",
       "   2.340282286250237,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 43, 8, 161, 148, 0, 2): {'total_predicted_rating': 18.635796263959463,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5612502978393095]},\n",
       " (139,\n",
       "  163,\n",
       "  36,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 20.114835855289282, 'predicted_rating_list': [2.4873911196678953,\n",
       "   2.9116736325970147,\n",
       "   3.1573991126838234,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 43, 8, 96, 148, 0, 26): {'total_predicted_rating': 18.005455048424743,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   2.340282286250237,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.7584170897749667]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  146,\n",
       "  133): {'total_predicted_rating': 19.12921218610734, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.243110520964807]},\n",
       " (96,\n",
       "  56,\n",
       "  148,\n",
       "  129,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 19.261135096024763, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.199851819997653,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (140, 68, 133, 2, 41, 56): {'total_predicted_rating': 16.549042896219035,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   3.278341659858921]},\n",
       " (26, 8, 41, 66, 129, 94, 81): {'total_predicted_rating': 18.55098905081003,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.4348375305573473,\n",
       "   2.913686922376951,\n",
       "   2.070475337306837,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (110,\n",
       "  36,\n",
       "  139,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.29043568159681, 'predicted_rating_list': [2.473754834507224,\n",
       "   3.1573991126838234,\n",
       "   2.4873911196678953,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 56, 143, 10, 36, 74, 146): {'total_predicted_rating': 19.559835000938786,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (26, 8, 148, 10, 101, 161, 43): {'total_predicted_rating': 20.069747443157166,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 96, 129, 163, 26): {'total_predicted_rating': 17.85774223093994,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.340282286250237,\n",
       "   2.070475337306837,\n",
       "   2.9116736325970147,\n",
       "   2.7584170897749667]},\n",
       " (96, 56, 143, 129, 10, 74, 2): {'total_predicted_rating': 18.203698555600507,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.3685056435404466,\n",
       "   2.5612502978393095]},\n",
       " (110,\n",
       "  26,\n",
       "  139,\n",
       "  10,\n",
       "  36,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.978377434064946, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (72, 101, 148, 146, 10, 21, 81): {'total_predicted_rating': 20.04770365829743,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   3.199851819997653,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.694398563453769]},\n",
       " (101,\n",
       "  36,\n",
       "  41,\n",
       "  74,\n",
       "  129,\n",
       "  194,\n",
       "  56): {'total_predicted_rating': 19.375222599348074, 'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1573991126838234,\n",
       "   3.4348375305573473,\n",
       "   2.3685056435404466,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (26, 23, 5, 43, 56, 139, 172): {'total_predicted_rating': 19.725873064079558,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   3.278341659858921,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (140,\n",
       "  110,\n",
       "  102,\n",
       "  96,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.43961892395759, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.473754834507224,\n",
       "   2.2930373421155346,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (140, 2, 194, 41, 10, 43): {'total_predicted_rating': 17.602099809726248,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.5612502978393095,\n",
       "   2.4586844312620286,\n",
       "   3.4348375305573473,\n",
       "   3.071100489632776,\n",
       "   3.1158665919613036]},\n",
       " (56, 23, 26, 148, 10, 172): {'total_predicted_rating': 17.945711232157308,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   3.1673796377152557,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335]},\n",
       " (101, 1, 5, 43, 72, 68, 57): {'total_predicted_rating': 18.649282324921373,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   2.5058996464880656,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (56, 1, 26, 148, 139, 68, 57): {'total_predicted_rating': 19.672765589063197,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.5058996464880656,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (101, 68, 5, 43, 72, 139, 172): {'total_predicted_rating': 17.72967249852841,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   2.071142418525167,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (110, 68, 1, 74, 101, 161, 43): {'total_predicted_rating': 18.30993831288149,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.3685056435404466,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (163,\n",
       "  110,\n",
       "  133,\n",
       "  74,\n",
       "  81,\n",
       "  10,\n",
       "  23): {'total_predicted_rating': 18.929923322411295, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.473754834507224,\n",
       "   2.243110520964807,\n",
       "   2.3685056435404466,\n",
       "   2.694398563453769,\n",
       "   3.071100489632776,\n",
       "   3.1673796377152557]},\n",
       " (96,\n",
       "  36,\n",
       "  148,\n",
       "  129,\n",
       "  10,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.966849152060064, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.1573991126838234,\n",
       "   3.199851819997653,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  8,\n",
       "  81,\n",
       "  72,\n",
       "  148): {'total_predicted_rating': 17.844813372608957, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.1497422739311833,\n",
       "   2.694398563453769,\n",
       "   2.5298165191341555,\n",
       "   3.199851819997653]},\n",
       " (72,\n",
       "  101,\n",
       "  94,\n",
       "  146,\n",
       "  10,\n",
       "  163,\n",
       "  81): {'total_predicted_rating': 19.173862390165965, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.529431333408977,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.9116736325970147,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  68,\n",
       "  194,\n",
       "  56,\n",
       "  41,\n",
       "  94,\n",
       "  161): {'total_predicted_rating': 19.900588135806537, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   3.1677902937206133]},\n",
       " (139, 43, 94, 56, 10, 21): {'total_predicted_rating': 17.597225608669675,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.529431333408977,\n",
       "   3.278341659858921,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007]},\n",
       " (72, 101, 163, 146, 148, 0, 95): {'total_predicted_rating': 19.02565634908481,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (96, 56, 143, 129, 10, 146, 26): {'total_predicted_rating': 18.86282267179632,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.7584170897749667]},\n",
       " (139, 36, 0, 94, 10, 146, 133): {'total_predicted_rating': 18.689715193361444,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1573991126838234,\n",
       "   2.370819649202563,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.243110520964807]},\n",
       " (96, 56, 143, 140, 1, 23, 103): {'total_predicted_rating': 18.882226582488315,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (72, 2, 163, 56, 10, 21, 161): {'total_predicted_rating': 20.635067306922593,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5612502978393095,\n",
       "   2.9116736325970147,\n",
       "   3.278341659858921,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 146, 96, 10, 161): {'total_predicted_rating': 16.546431440677054,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (17, 101, 163, 146, 10): {'total_predicted_rating': 14.6064039718985,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776]},\n",
       " (57, 1, 139, 10, 110, 74, 161): {'total_predicted_rating': 19.44616386230755,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   2.5058996464880656,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   2.473754834507224,\n",
       "   2.3685056435404466,\n",
       "   3.1677902937206133]},\n",
       " (140, 68, 194, 2, 41, 94, 56): {'total_predicted_rating': 19.29404813992523,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   3.278341659858921]},\n",
       " (26,\n",
       "  8,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  81): {'total_predicted_rating': 17.845312356898418, 'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   2.694398563453769]},\n",
       " (139, 43, 41, 161, 148, 0, 95): {'total_predicted_rating': 20.35260988132153,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   3.4348375305573473,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (140, 43, 8, 161, 148, 163, 95): {'total_predicted_rating': 20.0813379568954,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.9116736325970147,\n",
       "   2.5760528762141512]},\n",
       " (72,\n",
       "  110,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  74): {'total_predicted_rating': 19.300408501352024, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.473754834507224,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.3685056435404466]},\n",
       " (56,\n",
       "  133,\n",
       "  26,\n",
       "  148,\n",
       "  110,\n",
       "  74,\n",
       "  146): {'total_predicted_rating': 19.152444536444623, 'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.473754834507224,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (110, 26, 148, 10, 68, 57): {'total_predicted_rating': 16.945988487188313,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (101, 68, 1, 10, 161, 43): {'total_predicted_rating': 16.538778324466595,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 23, 5, 43, 72, 139, 172): {'total_predicted_rating': 19.418782653577477,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (26, 8, 148, 143, 110, 194): {'total_predicted_rating': 15.554193290645035,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.473754834507224,\n",
       "   2.4586844312620286]},\n",
       " (139, 43, 8, 161, 148, 0, 56): {'total_predicted_rating': 19.769803408340135,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   3.278341659858921]},\n",
       " (140,\n",
       "  163,\n",
       "  133,\n",
       "  74,\n",
       "  41,\n",
       "  94,\n",
       "  81): {'total_predicted_rating': 19.142317692995842, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.9116736325970147,\n",
       "   2.243110520964807,\n",
       "   2.3685056435404466,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (72, 2, 163, 146, 10, 21, 74): {'total_predicted_rating': 19.387903964684106,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5612502978393095,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.3685056435404466]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  161): {'total_predicted_rating': 18.70053240587873, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  23): {'total_predicted_rating': 20.232506545158277, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1673796377152557]},\n",
       " (101, 23, 146, 43, 1, 148): {'total_predicted_rating': 17.426439548101552,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.830462967800603,\n",
       "   3.1158665919613036,\n",
       "   2.5058996464880656,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  163,\n",
       "  143,\n",
       "  129,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 17.32400227130585, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.9116736325970147,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (8, 101, 163, 146, 10, 21, 81): {'total_predicted_rating': 19.379451225693817,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.694398563453769]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  96,\n",
       "  56,\n",
       "  172,\n",
       "  133): {'total_predicted_rating': 18.13070521223142, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.4706205351777335,\n",
       "   2.243110520964807]},\n",
       " (148, 1, 5, 43, 110, 139, 172): {'total_predicted_rating': 18.70124097772336,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.5058996464880656,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.473754834507224,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (139, 43, 8, 161, 148, 0, 74): {'total_predicted_rating': 18.85996739202166,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.3685056435404466]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  148,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.292994685732356, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   3.199851819997653,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (8, 43, 161, 36, 74, 146): {'total_predicted_rating': 16.789766883637974,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.1158665919613036,\n",
       "   3.1677902937206133,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (110, 2, 139, 74, 148, 0, 95): {'total_predicted_rating': 18.037626240969242,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.5612502978393095,\n",
       "   2.4873911196678953,\n",
       "   2.3685056435404466,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (72, 101, 163, 146, 10, 74): {'total_predicted_rating': 16.318538136843664,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.3685056435404466]},\n",
       " (72, 26, 139, 10, 36, 21, 161): {'total_predicted_rating': 20.287009038754032,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (148, 68, 1, 2, 94, 81): {'total_predicted_rating': 15.561974079712941,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.5612502978393095,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 133, 10, 101, 161): {'total_predicted_rating': 16.120483075455514,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133]},\n",
       " (72, 23, 163, 146, 10, 95): {'total_predicted_rating': 17.08648612309396,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1673796377152557,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.5760528762141512]},\n",
       " (148, 68, 1, 10, 101, 161, 26): {'total_predicted_rating': 19.38118064227791,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   2.7584170897749667]},\n",
       " (26, 8, 148, 129, 66, 146): {'total_predicted_rating': 15.922636411188194,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.070475337306837,\n",
       "   2.913686922376951,\n",
       "   2.830462967800603]},\n",
       " (96, 56, 143, 129, 194): {'total_predicted_rating': 12.661526555850003,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286]},\n",
       " (17, 68, 1, 10, 101, 146, 81): {'total_predicted_rating': 18.966170967768488,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 2, 41, 94, 43): {'total_predicted_rating': 19.131573072027614,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 163, 146, 10, 161): {'total_predicted_rating': 17.252021622273826,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (57, 101, 1, 10, 161, 43): {'total_predicted_rating': 17.839357740691955,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   2.6069788841386696,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (37,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.290128080016544, 'predicted_rating_list': [3.5016799627401873,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 20.197920495610443, 'predicted_rating_list': [2.9116736325970147,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (139, 43, 8, 161, 10, 94, 81): {'total_predicted_rating': 19.21572066577652,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.071100489632776,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 2, 148, 0, 95): {'total_predicted_rating': 18.198161961514355,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (140,\n",
       "  163,\n",
       "  5,\n",
       "  43,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 18.923585296935066, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.9116736325970147,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (57,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  74): {'total_predicted_rating': 20.275537866599834, 'predicted_rating_list': [3.371721834750526,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.3685056435404466]},\n",
       " (72,\n",
       "  101,\n",
       "  94,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 19.850674901975594, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.529431333408977,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  10,\n",
       "  36,\n",
       "  74,\n",
       "  161): {'total_predicted_rating': 19.035799735669855, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   3.1677902937206133]},\n",
       " (37, 26, 139, 8, 81, 140, 23): {'total_predicted_rating': 19.719369115756738,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   2.1497422739311833,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (140, 68, 194, 56, 41, 94, 81): {'total_predicted_rating': 19.427196405539693,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (37,\n",
       "  161,\n",
       "  17,\n",
       "  96,\n",
       "  163,\n",
       "  143,\n",
       "  129): {'total_predicted_rating': 19.691832351516307, 'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.9116736325970147,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (72,\n",
       "  101,\n",
       "  36,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  161): {'total_predicted_rating': 19.43402360441748, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   3.1573991126838234,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133]},\n",
       " (140,\n",
       "  101,\n",
       "  163,\n",
       "  96,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.173280468952594, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  133): {'total_predicted_rating': 18.537050335870077, 'predicted_rating_list': [2.5298165191341555,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.243110520964807]},\n",
       " (148,\n",
       "  68,\n",
       "  133,\n",
       "  10,\n",
       "  101,\n",
       "  161,\n",
       "  26): {'total_predicted_rating': 19.118391516754652, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   2.7584170897749667]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  21,\n",
       "  23): {'total_predicted_rating': 18.85485569553969, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   3.1150944141398007,\n",
       "   3.1673796377152557]},\n",
       " (96,\n",
       "  1,\n",
       "  143,\n",
       "  129,\n",
       "  56,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 18.739056558874296, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.278341659858921,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  101,\n",
       "  146): {'total_predicted_rating': 19.493080549281203, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603]},\n",
       " (72, 110, 163, 96, 10, 21, 26): {'total_predicted_rating': 19.200139266036174,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.473754834507224,\n",
       "   2.9116736325970147,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.7584170897749667]},\n",
       " (163,\n",
       "  103,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  101,\n",
       "  148): {'total_predicted_rating': 18.490043047375305, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.199851819997653]},\n",
       " (110, 26, 139, 56, 68, 163): {'total_predicted_rating': 15.98072075493119,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.278341659858921,\n",
       "   2.071142418525167,\n",
       "   2.9116736325970147]},\n",
       " (56, 1, 26, 148, 36, 74, 81): {'total_predicted_rating': 19.962813535797647,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.5058996464880656,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.694398563453769]},\n",
       " (72, 68, 194, 2, 41, 57): {'total_predicted_rating': 16.427453032068534,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   3.371721834750526]},\n",
       " (56, 133, 26, 148, 139, 94, 81): {'total_predicted_rating': 19.19094210712699,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (163, 101, 96, 10, 21, 161): {'total_predicted_rating': 17.212920000479112,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.6069788841386696,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (140, 103, 133, 101, 81, 23): {'total_predicted_rating': 15.788448117276356,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   3.1673796377152557]},\n",
       " (96, 56, 41, 74, 10, 21, 161): {'total_predicted_rating': 20.775952317700145,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   2.3685056435404466,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 163, 146, 10): {'total_predicted_rating': 13.950032493303219,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  66,\n",
       "  10,\n",
       "  72,\n",
       "  146): {'total_predicted_rating': 19.143417108924204, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   2.5298165191341555,\n",
       "   2.830462967800603]},\n",
       " (148, 36, 1, 10, 101, 161, 43): {'total_predicted_rating': 20.824886838622906,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   3.1573991126838234,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (72,\n",
       "  101,\n",
       "  146,\n",
       "  74,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 19.689749212107067, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603,\n",
       "   2.3685056435404466,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 23, 17, 96, 1, 143, 26): {'total_predicted_rating': 19.001726018264094,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1673796377152557,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.7584170897749667]},\n",
       " (37, 161, 5, 43, 163, 139, 172): {'total_predicted_rating': 20.10287856578823,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.9116736325970147,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (140, 68, 133, 101, 10, 21): {'total_predicted_rating': 16.0677871958747,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007]},\n",
       " (163, 103, 194, 2, 41, 94, 133): {'total_predicted_rating': 18.25520778915986,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.243110520964807]},\n",
       " (72, 101, 146, 2, 56, 94, 81): {'total_predicted_rating': 19.030680225634406,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603,\n",
       "   2.5612502978393095,\n",
       "   3.278341659858921,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 194, 146, 10, 161): {'total_predicted_rating': 16.55954106941467,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (72, 101, 163, 146, 10, 0, 95): {'total_predicted_rating': 18.896905018719934,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (8, 43, 146, 161, 148, 21): {'total_predicted_rating': 17.578808361551154,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.1158665919613036,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   3.1150944141398007]},\n",
       " (101, 23, 5, 66, 72, 139, 172): {'total_predicted_rating': 18.623730048134142,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   2.913686922376951,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (163,\n",
       "  23,\n",
       "  133,\n",
       "  101,\n",
       "  10,\n",
       "  140,\n",
       "  26): {'total_predicted_rating': 19.71902072329697, 'predicted_rating_list': [2.9116736325970147,\n",
       "   3.1673796377152557,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   3.071100489632776,\n",
       "   2.960360468473481,\n",
       "   2.7584170897749667]},\n",
       " (37, 163, 17, 96, 1, 143, 129): {'total_predicted_rating': 19.029941704283758,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.9116736325970147,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (8, 103, 148, 101, 81, 10, 95): {'total_predicted_rating': 18.414344949898577,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.116220042530374,\n",
       "   3.199851819997653,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   3.071100489632776,\n",
       "   2.5760528762141512]},\n",
       " (57,\n",
       "  172,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  56): {'total_predicted_rating': 19.36343845952568, 'predicted_rating_list': [3.371721834750526,\n",
       "   2.4706205351777335,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (26, 8, 0, 140, 1, 23, 103): {'total_predicted_rating': 18.02883880811589,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  148,\n",
       "  10,\n",
       "  146,\n",
       "  161): {'total_predicted_rating': 20.401572358432784, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133]},\n",
       " (163, 2, 36, 129, 10, 146, 148): {'total_predicted_rating': 19.80221365785802,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.5612502978393095,\n",
       "   3.1573991126838234,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.561484341062314, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (96,\n",
       "  56,\n",
       "  146,\n",
       "  129,\n",
       "  10,\n",
       "  161,\n",
       "  148): {'total_predicted_rating': 19.958304854567643, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.830462967800603,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653]},\n",
       " (72, 1, 94, 146, 66, 21, 161): {'total_predicted_rating': 19.592182097069166,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5058996464880656,\n",
       "   2.529431333408977,\n",
       "   2.830462967800603,\n",
       "   2.913686922376951,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (148,\n",
       "  110,\n",
       "  163,\n",
       "  66,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.852952406972033, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.473754834507224,\n",
       "   2.9116736325970147,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 2, 1, 10, 56, 161, 43): {'total_predicted_rating': 20.230065498635145,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5612502978393095,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.278341659858921,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (37,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  26): {'total_predicted_rating': 18.881165532076253, 'predicted_rating_list': [3.5016799627401873,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   2.7584170897749667]},\n",
       " (8, 161, 17, 101, 81, 140, 23): {'total_predicted_rating': 19.932838119162408,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  96,\n",
       "  1,\n",
       "  143,\n",
       "  129): {'total_predicted_rating': 16.701404307309314, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (110,\n",
       "  68,\n",
       "  36,\n",
       "  96,\n",
       "  101,\n",
       "  146,\n",
       "  43): {'total_predicted_rating': 18.595887095867027, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.071142418525167,\n",
       "   3.1573991126838234,\n",
       "   2.340282286250237,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603,\n",
       "   3.1158665919613036]},\n",
       " (96, 56, 143, 161, 36, 0, 95): {'total_predicted_rating': 19.404428719102288,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.1677902937206133,\n",
       "   3.1573991126838234,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139,\n",
       "  43,\n",
       "  41,\n",
       "  74,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.508016163158025, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   3.4348375305573473,\n",
       "   2.3685056435404466,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  172): {'total_predicted_rating': 19.535747442620753, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 5, 43, 72, 139, 161): {'total_predicted_rating': 19.523079476261376,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   3.1677902937206133]},\n",
       " (140,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  56,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 19.487896283826668, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   3.278341659858921,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  110,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.480426944366403, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   2.473754834507224,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (140, 68, 36, 2, 41, 94, 43): {'total_predicted_rating': 19.830287753449408,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   3.1573991126838234,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 66, 101, 161, 81): {'total_predicted_rating': 19.15974854870089,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.913686922376951,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  10,\n",
       "  72,\n",
       "  81): {'total_predicted_rating': 18.221985488328034, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   3.071100489632776,\n",
       "   2.5298165191341555,\n",
       "   2.694398563453769]},\n",
       " (72, 163, 146, 81, 140, 23): {'total_predicted_rating': 17.09409178917428,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (139, 43, 8, 96, 148, 0, 81): {'total_predicted_rating': 18.358352304464603,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   2.340282286250237,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  41,\n",
       "  102,\n",
       "  148,\n",
       "  66,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 20.102857586499304, 'predicted_rating_list': [2.960360468473481,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.199851819997653,\n",
       "   2.913686922376951,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (72,\n",
       "  101,\n",
       "  148,\n",
       "  96,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.030914707013906, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   3.199851819997653,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (140, 68, 96, 2, 56, 72, 74): {'total_predicted_rating': 18.109699293621716,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   3.278341659858921,\n",
       "   2.5298165191341555,\n",
       "   2.3685056435404466]},\n",
       " (139,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.451366235436666, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (140, 43, 8, 148, 0, 95): {'total_predicted_rating': 16.372693679780333,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (96, 133, 26, 148, 139, 161): {'total_predicted_rating': 16.196843130376173,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   3.1677902937206133]},\n",
       " (56, 143, 129, 10, 146, 148): {'total_predicted_rating': 16.96397511576877,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (8, 161, 133, 96, 1, 72, 148): {'total_predicted_rating': 18.136493360486718,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   2.243110520964807,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5298165191341555,\n",
       "   3.199851819997653]},\n",
       " (96, 36, 143, 129, 10, 146): {'total_predicted_rating': 15.983463034846256,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.1573991126838234,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (96, 2, 143, 129, 10, 146, 95): {'total_predicted_rating': 17.963367096215894,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.5760528762141512]},\n",
       " (139, 43, 8, 161, 148, 0): {'total_predicted_rating': 16.491461748481214,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  110,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 18.479478020926827, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.473754834507224,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (110,\n",
       "  23,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  56): {'total_predicted_rating': 19.1622305618199, 'predicted_rating_list': [2.473754834507224,\n",
       "   3.1673796377152557,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (110, 1, 94, 10, 36, 74, 146): {'total_predicted_rating': 18.936554028061916,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.5058996464880656,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (163, 103, 194, 2, 41, 94, 81): {'total_predicted_rating': 18.706495831648823,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 133, 101, 81, 23): {'total_predicted_rating': 15.743370493271149,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   3.1673796377152557]},\n",
       " (37, 161, 17, 96, 1, 43): {'total_predicted_rating': 17.817706778889843,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 8, 66, 143, 129): {'total_predicted_rating': 17.424541259797838,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.1497422739311833,\n",
       "   2.913686922376951,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (17,\n",
       "  68,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  56): {'total_predicted_rating': 18.77842650585202, 'predicted_rating_list': [3.186187997729436,\n",
       "   2.071142418525167,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (26, 8, 194, 94, 41, 10, 81): {'total_predicted_rating': 19.096611712021048,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   2.4586844312620286,\n",
       "   2.529431333408977,\n",
       "   3.4348375305573473,\n",
       "   3.071100489632776,\n",
       "   2.694398563453769]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  8,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 18.522161747454412, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.1497422739311833,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (17,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  81,\n",
       "  140,\n",
       "  95): {'total_predicted_rating': 19.279559744208573, 'predicted_rating_list': [3.186187997729436,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   2.5760528762141512]},\n",
       " (96,\n",
       "  1,\n",
       "  143,\n",
       "  129,\n",
       "  110,\n",
       "  72,\n",
       "  148): {'total_predicted_rating': 17.633823284856152, 'predicted_rating_list': [2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.473754834507224,\n",
       "   2.5298165191341555,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  161,\n",
       "  148): {'total_predicted_rating': 19.64158472793902, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653]},\n",
       " (26,\n",
       "  8,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  57): {'total_predicted_rating': 18.522635628195175, 'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.371721834750526]},\n",
       " (140, 2, 26, 148, 139, 68): {'total_predicted_rating': 16.03841321427847,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.5612502978393095,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167]},\n",
       " (110, 163, 146, 10, 21, 161): {'total_predicted_rating': 17.56987663239803,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (72, 68, 5, 43, 139, 21): {'total_predicted_rating': 15.767167493351806,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.4873911196678953,\n",
       "   3.1150944141398007]},\n",
       " (110, 26, 139, 10, 36, 0, 81): {'total_predicted_rating': 19.01328085892302,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.370819649202563,\n",
       "   2.694398563453769]},\n",
       " (139,\n",
       "  43,\n",
       "  8,\n",
       "  161,\n",
       "  148,\n",
       "  10,\n",
       "  146): {'total_predicted_rating': 20.022205556712027, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (140,\n",
       "  23,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.813373562098587, 'predicted_rating_list': [2.960360468473481,\n",
       "   3.1673796377152557,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  110,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 18.706911746893454, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.473754834507224,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (56,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  161): {'total_predicted_rating': 20.901915848792363, 'predicted_rating_list': [3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   3.1677902937206133]},\n",
       " (129,\n",
       "  133,\n",
       "  26,\n",
       "  148,\n",
       "  139,\n",
       "  68,\n",
       "  57): {'total_predicted_rating': 18.202110140987852, 'predicted_rating_list': [2.070475337306837,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (140, 23, 5, 43, 1, 161, 172): {'total_predicted_rating': 19.835773603459938,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5058996464880656,\n",
       "   3.1677902937206133,\n",
       "   2.4706205351777335]},\n",
       " (140,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  161,\n",
       "  146): {'total_predicted_rating': 20.94377709002979, 'predicted_rating_list': [2.960360468473481,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   2.830462967800603]},\n",
       " (72, 163, 146, 10, 161): {'total_predicted_rating': 14.510843902885163,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (57, 23, 5, 43, 72, 139, 172): {'total_predicted_rating': 19.59065266833035,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (17, 101, 163, 2, 41, 94, 81): {'total_predicted_rating': 19.924758239724525,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (8, 68, 194, 146, 10, 21, 95): {'total_predicted_rating': 18.27227987150571,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.5760528762141512]},\n",
       " (139,\n",
       "  43,\n",
       "  36,\n",
       "  161,\n",
       "  148,\n",
       "  146,\n",
       "  23): {'total_predicted_rating': 21.12614154354715, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   3.1573991126838234,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.830462967800603,\n",
       "   3.1673796377152557]},\n",
       " (139, 172, 96, 140, 1, 161): {'total_predicted_rating': 15.932344349778027,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   2.340282286250237,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1677902937206133]},\n",
       " (163, 103, 133, 101, 81, 140): {'total_predicted_rating': 15.532742112158115,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481]},\n",
       " (110, 161, 17, 96, 1, 95): {'total_predicted_rating': 16.249967934909726,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5760528762141512]},\n",
       " (37, 26, 139, 10, 36, 81): {'total_predicted_rating': 17.670386337953417,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.694398563453769]},\n",
       " (72, 101, 163, 8, 1, 143, 2): {'total_predicted_rating': 17.779104095300376,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.1497422739311833,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.5612502978393095]},\n",
       " (37, 161, 17, 96, 110, 21): {'total_predicted_rating': 17.784789789087498,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.473754834507224,\n",
       "   3.1150944141398007]},\n",
       " (96, 68, 1, 10, 101, 161, 43): {'total_predicted_rating': 18.879060610716834,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 56, 96, 94, 10, 146): {'total_predicted_rating': 17.24947055694917,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   3.278341659858921,\n",
       "   2.340282286250237,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (140,\n",
       "  68,\n",
       "  194,\n",
       "  94,\n",
       "  72,\n",
       "  139,\n",
       "  172): {'total_predicted_rating': 17.50744682564944, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.529431333408977,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 5, 2, 41, 94, 81): {'total_predicted_rating': 19.442132677036813,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (96, 68, 2, 41, 94, 81): {'total_predicted_rating': 15.631342430034808,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.071142418525167,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.92433558424225, 'predicted_rating_list': [2.960360468473481,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  148,\n",
       "  81,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.820340699619877, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.199851819997653,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 18.25016707284198, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (17, 56, 143, 129, 10, 146, 2): {'total_predicted_rating': 19.51156159133986,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.5612502978393095]},\n",
       " (148, 23, 1, 10, 101, 72, 74): {'total_predicted_rating': 19.44953264064702,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   3.1673796377152557,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.5298165191341555,\n",
       "   2.3685056435404466]},\n",
       " (56, 133, 26, 8, 101, 72, 43): {'total_predicted_rating': 18.682273539764008,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   2.6069788841386696,\n",
       "   2.5298165191341555,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 139, 57): {'total_predicted_rating': 13.636006839429307,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.4873911196678953,\n",
       "   3.371721834750526]},\n",
       " (96, 56, 94, 1): {'total_predicted_rating': 10.653954926006202,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.529431333408977,\n",
       "   2.5058996464880656]},\n",
       " (37,\n",
       "  161,\n",
       "  17,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 21.027548868928108, 'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (17,\n",
       "  36,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  21,\n",
       "  148): {'total_predicted_rating': 20.313852012662306, 'predicted_rating_list': [3.186187997729436,\n",
       "   3.1573991126838234,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.199851819997653]},\n",
       " (96, 56, 5, 43, 66, 139, 172): {'total_predicted_rating': 19.054045545216525,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.913686922376951,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (101, 23, 5, 56, 72, 139, 172): {'total_predicted_rating': 18.988384785616113,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.278341659858921,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (8, 148, 143, 129, 194, 56): {'total_predicted_rating': 15.6708383635286,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (140,\n",
       "  8,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  56): {'total_predicted_rating': 18.631198832002084, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (26, 36, 194, 2, 110, 94, 81): {'total_predicted_rating': 18.6333356629301,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   3.1573991126838234,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   2.473754834507224,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (129,\n",
       "  68,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  140,\n",
       "  95): {'total_predicted_rating': 18.228356929997386, 'predicted_rating_list': [2.070475337306837,\n",
       "   2.071142418525167,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.960360468473481,\n",
       "   2.5760528762141512]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  66,\n",
       "  172,\n",
       "  26): {'total_predicted_rating': 18.020707627560515, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.913686922376951,\n",
       "   2.4706205351777335,\n",
       "   2.7584170897749667]},\n",
       " (129, 41, 133, 17, 10, 172, 43): {'total_predicted_rating': 19.59219900333024,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.243110520964807,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   3.1158665919613036]},\n",
       " (148, 68, 1, 10, 101, 146): {'total_predicted_rating': 16.285436226582934,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603]},\n",
       " (163, 1, 133, 101, 81, 10, 23): {'total_predicted_rating': 19.200541374990358,\n",
       "  'predicted_rating_list': [2.9116736325970147,\n",
       "   2.5058996464880656,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   3.071100489632776,\n",
       "   3.1673796377152557]},\n",
       " (139, 172, 146, 36, 74): {'total_predicted_rating': 13.314379378870502,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466]},\n",
       " (17, 26, 94, 140, 1, 23, 103): {'total_predicted_rating': 19.223896216120558,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.7584170897749667,\n",
       "   2.529431333408977,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (72, 101, 1, 10, 161, 163): {'total_predicted_rating': 16.793259465711294,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   2.9116736325970147]},\n",
       " (148,\n",
       "  68,\n",
       "  163,\n",
       "  94,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 20.066084402022003, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.9116736325970147,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (96, 101, 163, 74, 10, 161): {'total_predicted_rating': 16.466331229879756,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.3685056435404466,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (56, 2, 26, 148, 139, 68, 161): {'total_predicted_rating': 19.524184699384527,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.5612502978393095,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   3.1677902937206133]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  36,\n",
       "  161,\n",
       "  57): {'total_predicted_rating': 20.575843244825407, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.1573991126838234,\n",
       "   3.1677902937206133,\n",
       "   3.371721834750526]},\n",
       " (110, 148, 2, 41, 94, 81): {'total_predicted_rating': 16.89352437976428,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   3.199851819997653,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (101, 23, 5, 94, 72, 139, 172): {'total_predicted_rating': 18.239474459166168,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   2.529431333408977,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (57, 26, 194, 2, 41, 94, 81): {'total_predicted_rating': 19.808741081046925,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   2.7584170897749667,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 139, 10, 1, 21, 146): {'total_predicted_rating': 19.04145152472779,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   2.5058996464880656,\n",
       "   3.1150944141398007,\n",
       "   2.830462967800603]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  66,\n",
       "  36,\n",
       "  140,\n",
       "  23): {'total_predicted_rating': 19.46983033734171, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.913686922376951,\n",
       "   3.1573991126838234,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (72, 1, 133, 101, 81, 140, 23): {'total_predicted_rating': 18.707944240368203,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5058996464880656,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  36,\n",
       "  140,\n",
       "  74): {'total_predicted_rating': 18.364248304928616, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   3.1573991126838234,\n",
       "   2.960360468473481,\n",
       "   2.3685056435404466]},\n",
       " (140, 68, 94, 8, 139, 57): {'total_predicted_rating': 15.56978944875723,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.529431333408977,\n",
       "   2.1497422739311833,\n",
       "   2.4873911196678953,\n",
       "   3.371721834750526]},\n",
       " (72, 133, 26, 148, 56, 94, 81): {'total_predicted_rating': 19.23336750659325,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   3.278341659858921,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (26,\n",
       "  8,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  172,\n",
       "  133): {'total_predicted_rating': 17.405960418325158, 'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4706205351777335,\n",
       "   2.243110520964807]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  66,\n",
       "  101,\n",
       "  56): {'total_predicted_rating': 19.783545674083694, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   2.913686922376951,\n",
       "   2.6069788841386696,\n",
       "   3.278341659858921]},\n",
       " (57, 68, 0, 8, 1, 23, 95): {'total_predicted_rating': 18.212758336826912,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   2.071142418525167,\n",
       "   2.370819649202563,\n",
       "   2.1497422739311833,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.5760528762141512]},\n",
       " (148, 68, 146, 10, 110, 2): {'total_predicted_rating': 16.207562828302734,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   2.473754834507224,\n",
       "   2.5612502978393095]},\n",
       " (57, 41, 96, 17, 10, 172, 146): {'total_predicted_rating': 20.705213641898656,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   3.4348375305573473,\n",
       "   2.340282286250237,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (57,\n",
       "  101,\n",
       "  133,\n",
       "  146,\n",
       "  110,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 19.808913750022242, 'predicted_rating_list': [3.371721834750526,\n",
       "   2.6069788841386696,\n",
       "   2.243110520964807,\n",
       "   2.830462967800603,\n",
       "   2.473754834507224,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (96, 56, 94, 129, 10, 146, 148): {'total_predicted_rating': 19.31994589425601,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.529431333408977,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (37, 8, 148, 143, 129, 194, 56): {'total_predicted_rating': 19.17251832626879,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (72, 101, 163, 74, 10, 21, 2): {'total_predicted_rating': 19.16441988102217,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.3685056435404466,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.5612502978393095]},\n",
       " (72,\n",
       "  23,\n",
       "  163,\n",
       "  146,\n",
       "  139,\n",
       "  68,\n",
       "  57): {'total_predicted_rating': 19.369588130190618, 'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1673796377152557,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   3.371721834750526]},\n",
       " (56, 133, 148, 21, 161): {'total_predicted_rating': 15.004188708681795,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   3.199851819997653,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  81): {'total_predicted_rating': 18.798804145475124, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.694398563453769]},\n",
       " (96,\n",
       "  56,\n",
       "  133,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.033625081811834, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (148, 68, 1, 10, 163, 21, 146): {'total_predicted_rating': 19.70522538918108,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.9116736325970147,\n",
       "   3.1150944141398007,\n",
       "   2.830462967800603]},\n",
       " (110, 23, 139, 10, 36, 161, 43): {'total_predicted_rating': 20.64068207988889,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   3.1673796377152557,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (139, 43, 8, 161, 148, 0, 81): {'total_predicted_rating': 19.185860311934984,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.694398563453769]},\n",
       " (72,\n",
       "  56,\n",
       "  143,\n",
       "  10,\n",
       "  110,\n",
       "  74,\n",
       "  146): {'total_predicted_rating': 19.065724955646107, 'predicted_rating_list': [2.5298165191341555,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   3.071100489632776,\n",
       "   2.473754834507224,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (110,\n",
       "  23,\n",
       "  139,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.300416206628245, 'predicted_rating_list': [2.473754834507224,\n",
       "   3.1673796377152557,\n",
       "   2.4873911196678953,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (37, 161, 163, 146, 110, 21): {'total_predicted_rating': 18.000456105505442,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   2.473754834507224,\n",
       "   3.1150944141398007]},\n",
       " (37, 101, 17, 96, 1, 143, 129): {'total_predicted_rating': 18.725246955825412,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.6069788841386696,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (139, 43, 194, 2, 41, 94, 81): {'total_predicted_rating': 19.281859868150633,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 68, 96, 8, 110, 101, 95): {'total_predicted_rating': 17.178314042040114,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.340282286250237,\n",
       "   2.1497422739311833,\n",
       "   2.473754834507224,\n",
       "   2.6069788841386696,\n",
       "   2.5760528762141512]},\n",
       " (101, 23, 5, 43, 163, 172): {'total_predicted_rating': 16.720375711513462,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.9116736325970147,\n",
       "   2.4706205351777335]},\n",
       " (129, 41, 146, 96, 10, 172): {'total_predicted_rating': 16.217779146725533,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.830462967800603,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335]},\n",
       " (96, 56, 41, 10, 146, 148): {'total_predicted_rating': 18.15487675409754,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   3.4348375305573473,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (101,\n",
       "  23,\n",
       "  143,\n",
       "  96,\n",
       "  36,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.816097549758222, 'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.5137428411719784,\n",
       "   2.340282286250237,\n",
       "   3.1573991126838234,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 163, 5, 43, 72, 172): {'total_predicted_rating': 15.816115995043926,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.9116736325970147,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4706205351777335]},\n",
       " (72,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  133): {'total_predicted_rating': 19.30823742840783, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.243110520964807]},\n",
       " (110,\n",
       "  23,\n",
       "  148,\n",
       "  43,\n",
       "  72,\n",
       "  139,\n",
       "  81): {'total_predicted_rating': 19.668459086437256, 'predicted_rating_list': [2.473754834507224,\n",
       "   3.1673796377152557,\n",
       "   3.199851819997653,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.694398563453769]},\n",
       " (148, 68, 1, 10, 146): {'total_predicted_rating': 13.678457342444265,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (96,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  101,\n",
       "  163,\n",
       "  43): {'total_predicted_rating': 18.837361233284962, 'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.1158665919613036]},\n",
       " (140, 68, 1, 10, 101, 161, 43): {'total_predicted_rating': 19.499138792940077,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148, 2, 194, 41, 94, 81): {'total_predicted_rating': 16.878453976519086,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.5612502978393095,\n",
       "   2.4586844312620286,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (148,\n",
       "  163,\n",
       "  1,\n",
       "  10,\n",
       "  101,\n",
       "  23,\n",
       "  103): {'total_predicted_rating': 19.579104153099813, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.9116736325970147,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (139,\n",
       "  172,\n",
       "  148,\n",
       "  140,\n",
       "  163,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 20.313554461595697, 'predicted_rating_list': [2.4873911196678953,\n",
       "   2.4706205351777335,\n",
       "   3.199851819997653,\n",
       "   2.960360468473481,\n",
       "   2.9116736325970147,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (72, 68, 133, 2, 41, 163, 81): {'total_predicted_rating': 18.446229483071573,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.243110520964807,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.9116736325970147,\n",
       "   2.694398563453769]},\n",
       " (96, 2, 148, 43, 72, 139, 161): {'total_predicted_rating': 19.402248928571165,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   2.5612502978393095,\n",
       "   3.199851819997653,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   3.1677902937206133]},\n",
       " (110,\n",
       "  23,\n",
       "  5,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.260881516883835, 'predicted_rating_list': [2.473754834507224,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (72, 103, 133, 101, 81, 21, 23): {'total_predicted_rating': 18.47299858207683,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   3.1150944141398007,\n",
       "   3.1673796377152557]},\n",
       " (37, 163, 17, 96, 10, 172, 146): {'total_predicted_rating': 20.31200787192799,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.9116736325970147,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 36, 102, 17, 66, 101): {'total_predicted_rating': 16.22776559635125,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.1573991126838234,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   2.913686922376951,\n",
       "   2.6069788841386696]},\n",
       " (139, 43, 8, 66, 148, 0, 95): {'total_predicted_rating': 18.8134112533517,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   2.913686922376951,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (8, 110, 146, 10, 21, 161): {'total_predicted_rating': 16.8079452737322,\n",
       "  'predicted_rating_list': [2.1497422739311833,\n",
       "   2.473754834507224,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (140, 43, 8, 161, 10, 146, 74): {'total_predicted_rating': 19.663828729060405,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.3685056435404466]},\n",
       " (37,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  148,\n",
       "  72,\n",
       "  95): {'total_predicted_rating': 19.669961016423883, 'predicted_rating_list': [3.5016799627401873,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.199851819997653,\n",
       "   2.5298165191341555,\n",
       "   2.5760528762141512]},\n",
       " (110, 133, 101, 81, 140, 23): {'total_predicted_rating': 16.145982909253206,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  103,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  56): {'total_predicted_rating': 18.54898976472481, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (96, 56, 129, 66, 10, 148): {'total_predicted_rating': 16.873738515423376,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.070475337306837,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   3.199851819997653]},\n",
       " (101, 23, 5, 43, 72, 139, 95): {'total_predicted_rating': 18.931342058754915,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.5760528762141512]},\n",
       " (140, 43, 8, 66, 148, 0, 172): {'total_predicted_rating': 19.180948261120864,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   2.913686922376951,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.4706205351777335]},\n",
       " (140, 163, 41, 2, 146): {'total_predicted_rating': 14.698584897267756,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.9116736325970147,\n",
       "   3.4348375305573473,\n",
       "   2.5612502978393095,\n",
       "   2.830462967800603]},\n",
       " (110, 26, 139, 10, 36, 74, 81): {'total_predicted_rating': 19.010966853260904,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.694398563453769]},\n",
       " (17, 56, 143, 2, 41, 101, 81): {'total_predicted_rating': 20.275737774749434,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  110,\n",
       "  94,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.135437251127552, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.473754834507224,\n",
       "   2.529431333408977,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (110,\n",
       "  103,\n",
       "  133,\n",
       "  10,\n",
       "  36,\n",
       "  74,\n",
       "  146): {'total_predicted_rating': 18.260553611660054, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (110,\n",
       "  26,\n",
       "  139,\n",
       "  101,\n",
       "  36,\n",
       "  146,\n",
       "  23): {'total_predicted_rating': 19.48178364628844, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   2.6069788841386696,\n",
       "   3.1573991126838234,\n",
       "   2.830462967800603,\n",
       "   3.1673796377152557]},\n",
       " (72,\n",
       "  2,\n",
       "  148,\n",
       "  143,\n",
       "  129,\n",
       "  194,\n",
       "  95): {'total_predicted_rating': 17.909874122926112, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.5612502978393095,\n",
       "   3.199851819997653,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   2.4586844312620286,\n",
       "   2.5760528762141512]},\n",
       " (148, 68, 36, 10, 101, 43): {'total_predicted_rating': 17.222339316939394,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   3.1573991126838234,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1158665919613036]},\n",
       " (72, 36, 163, 146, 10, 161): {'total_predicted_rating': 17.668243015568986,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1573991126838234,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (26, 8, 148, 17, 10, 172, 146): {'total_predicted_rating': 19.666383174044352,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 41, 102, 143, 194, 56): {'total_predicted_rating': 16.049119142272648,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.5137428411719784,\n",
       "   2.4586844312620286,\n",
       "   3.278341659858921]},\n",
       " (72,\n",
       "  101,\n",
       "  26,\n",
       "  148,\n",
       "  139,\n",
       "  68,\n",
       "  74): {'total_predicted_rating': 18.022103494778953, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167,\n",
       "   2.3685056435404466]},\n",
       " (110, 5, 43, 72, 139, 172): {'total_predicted_rating': 15.525306030371796,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.4706205351777335]},\n",
       " (101, 133, 26, 148, 139, 68): {'total_predicted_rating': 15.36689185306916,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.4873911196678953,\n",
       "   2.071142418525167]},\n",
       " (37, 161, 17, 96, 1, 10, 74): {'total_predicted_rating': 20.141446320101764,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.3685056435404466]},\n",
       " (37, 110, 94, 96, 1, 143, 129): {'total_predicted_rating': 17.935266241873506,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.473754834507224,\n",
       "   2.529431333408977,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (148, 68, 1, 2, 41, 94, 81): {'total_predicted_rating': 18.99681161027029,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140,\n",
       "  68,\n",
       "  41,\n",
       "  10,\n",
       "  101,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 20.428076677009358, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   3.4348375305573473,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (129, 68, 41, 56, 81, 140, 23): {'total_predicted_rating': 19.67693561589078,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   2.071142418525167,\n",
       "   3.4348375305573473,\n",
       "   3.278341659858921,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   3.1673796377152557]},\n",
       " (163,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  110,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 17.652821417716424, 'predicted_rating_list': [2.9116736325970147,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.473754834507224,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (96, 56, 143, 129, 10, 161): {'total_predicted_rating': 16.441732907941365,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133]},\n",
       " (148, 68, 1, 56, 101, 146): {'total_predicted_rating': 16.49267739680908,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.5058996464880656,\n",
       "   3.278341659858921,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603]},\n",
       " (110, 26, 139, 148, 36, 74): {'total_predicted_rating': 16.445319620172008,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.199851819997653,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466]},\n",
       " (96, 36, 143, 66, 10, 146): {'total_predicted_rating': 16.82667461991637,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.1573991126838234,\n",
       "   2.5137428411719784,\n",
       "   2.913686922376951,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603]},\n",
       " (139, 110, 8, 101): {'total_predicted_rating': 9.717867112244972,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   2.473754834507224,\n",
       "   2.1497422739311833,\n",
       "   2.6069788841386696]},\n",
       " (148, 68, 94, 56, 0, 95): {'total_predicted_rating': 16.025639757207433,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.529431333408977,\n",
       "   3.278341659858921,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (72, 101, 163, 146, 81, 2): {'total_predicted_rating': 16.13458086496352,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   2.694398563453769,\n",
       "   2.5612502978393095]},\n",
       " (140, 68, 41, 10, 36, 74, 146): {'total_predicted_rating': 19.893808631213645,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   3.4348375305573473,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.3685056435404466,\n",
       "   2.830462967800603]},\n",
       " (140, 26, 139, 2, 41, 94, 161): {'total_predicted_rating': 19.899478133442592,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   3.1677902937206133]},\n",
       " (72, 68, 163, 146, 10, 21, 161): {'total_predicted_rating': 19.69708073555013,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (129,\n",
       "  41,\n",
       "  102,\n",
       "  17,\n",
       "  10,\n",
       "  172,\n",
       "  161): {'total_predicted_rating': 19.694049526240278, 'predicted_rating_list': [2.070475337306837,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   3.1677902937206133]},\n",
       " (140, 110, 194, 2, 41, 94, 81): {'total_predicted_rating': 19.11271745950214,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.473754834507224,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (72, 68, 194, 2, 41, 94, 81): {'total_predicted_rating': 18.279561094180757,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.071142418525167,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (140, 1, 163, 146, 21, 74): {'total_predicted_rating': 16.691996773039413,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.1150944141398007,\n",
       "   2.3685056435404466]},\n",
       " (37, 161, 146, 96, 1, 10): {'total_predicted_rating': 17.41721564663248,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   2.830462967800603,\n",
       "   2.340282286250237,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776]},\n",
       " (72, 101, 146, 56, 21, 129): {'total_predicted_rating': 16.431169782378987,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603,\n",
       "   3.278341659858921,\n",
       "   3.1150944141398007,\n",
       "   2.070475337306837]},\n",
       " (72, 43, 94, 10, 101): {'total_predicted_rating': 13.853193818275882,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1158665919613036,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696]},\n",
       " (148, 68, 146, 161, 0, 95): {'total_predicted_rating': 16.216120025460754,\n",
       "  'predicted_rating_list': [3.199851819997653,\n",
       "   2.071142418525167,\n",
       "   2.830462967800603,\n",
       "   3.1677902937206133,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (101, 163, 5, 43, 10, 161, 74): {'total_predicted_rating': 19.68977196551431,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.447856429923483,\n",
       "   3.1158665919613036,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   2.3685056435404466]},\n",
       " (72, 101, 163, 146, 56, 172): {'total_predicted_rating': 16.627894198707097,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.278341659858921,\n",
       "   2.4706205351777335]},\n",
       " (72,\n",
       "  101,\n",
       "  96,\n",
       "  146,\n",
       "  163,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 19.502098997781097, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.340282286250237,\n",
       "   2.830462967800603,\n",
       "   2.9116736325970147,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (110,\n",
       "  26,\n",
       "  139,\n",
       "  10,\n",
       "  36,\n",
       "  101,\n",
       "  146): {'total_predicted_rating': 19.385504498205957, 'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4873911196678953,\n",
       "   3.071100489632776,\n",
       "   3.1573991126838234,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603]},\n",
       " (72,\n",
       "  103,\n",
       "  133,\n",
       "  101,\n",
       "  81,\n",
       "  140,\n",
       "  2): {'total_predicted_rating': 17.712135296534562, 'predicted_rating_list': [2.5298165191341555,\n",
       "   2.116220042530374,\n",
       "   2.243110520964807,\n",
       "   2.6069788841386696,\n",
       "   2.694398563453769,\n",
       "   2.960360468473481,\n",
       "   2.5612502978393095]},\n",
       " (17, 101, 146, 10, 21, 72): {'total_predicted_rating': 17.33964127257544,\n",
       "  'predicted_rating_list': [3.186187997729436,\n",
       "   2.6069788841386696,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.5298165191341555]},\n",
       " (37, 161, 133, 96, 10, 0): {'total_predicted_rating': 16.694783202511182,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   2.243110520964807,\n",
       "   2.340282286250237,\n",
       "   3.071100489632776,\n",
       "   2.370819649202563]},\n",
       " (57, 43, 41, 148, 146, 129): {'total_predicted_rating': 18.02321608237427,\n",
       "  'predicted_rating_list': [3.371721834750526,\n",
       "   3.1158665919613036,\n",
       "   3.4348375305573473,\n",
       "   3.199851819997653,\n",
       "   2.830462967800603,\n",
       "   2.070475337306837]},\n",
       " (110,\n",
       "  41,\n",
       "  102,\n",
       "  43,\n",
       "  72,\n",
       "  139,\n",
       "  161): {'total_predicted_rating': 19.502494231664073, 'predicted_rating_list': [2.473754834507224,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   3.1158665919613036,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   3.1677902937206133]},\n",
       " (101, 23, 5, 17, 10, 161, 146): {'total_predicted_rating': 20.477756700660837,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   3.1677902937206133,\n",
       "   2.830462967800603]},\n",
       " (37,\n",
       "  56,\n",
       "  143,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 20.46565507850896, 'predicted_rating_list': [3.5016799627401873,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 161, 17, 1, 143, 129): {'total_predicted_rating': 15.784378402667167,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.1677902937206133,\n",
       "   3.186187997729436,\n",
       "   2.5058996464880656,\n",
       "   2.5137428411719784,\n",
       "   2.070475337306837]},\n",
       " (140,\n",
       "  163,\n",
       "  1,\n",
       "  10,\n",
       "  101,\n",
       "  161,\n",
       "  43): {'total_predicted_rating': 20.339670007011925, 'predicted_rating_list': [2.960360468473481,\n",
       "   2.9116736325970147,\n",
       "   2.5058996464880656,\n",
       "   3.071100489632776,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   3.1158665919613036]},\n",
       " (148,\n",
       "  101,\n",
       "  36,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  161): {'total_predicted_rating': 21.148677982113938, 'predicted_rating_list': [3.199851819997653,\n",
       "   2.6069788841386696,\n",
       "   3.1573991126838234,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (17,\n",
       "  41,\n",
       "  102,\n",
       "  94,\n",
       "  10,\n",
       "  172,\n",
       "  146): {'total_predicted_rating': 19.815678196422407, 'predicted_rating_list': [3.186187997729436,\n",
       "   3.4348375305573473,\n",
       "   2.2930373421155346,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (129, 2, 36, 17, 10, 172, 146): {'total_predicted_rating': 19.347496738170516,\n",
       "  'predicted_rating_list': [2.070475337306837,\n",
       "   2.5612502978393095,\n",
       "   3.1573991126838234,\n",
       "   3.186187997729436,\n",
       "   3.071100489632776,\n",
       "   2.4706205351777335,\n",
       "   2.830462967800603]},\n",
       " (139,\n",
       "  43,\n",
       "  133,\n",
       "  129,\n",
       "  10,\n",
       "  146,\n",
       "  148): {'total_predicted_rating': 19.018258847331875, 'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.243110520964807,\n",
       "   2.070475337306837,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   3.199851819997653]},\n",
       " (96, 56, 8, 161, 148, 0, 95): {'total_predicted_rating': 19.082880859175322,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (110, 172, 0, 140, 1, 23, 103): {'total_predicted_rating': 18.065054814094694,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.4706205351777335,\n",
       "   2.370819649202563,\n",
       "   2.960360468473481,\n",
       "   2.5058996464880656,\n",
       "   3.1673796377152557,\n",
       "   2.116220042530374]},\n",
       " (140, 68, 94, 10, 139, 57): {'total_predicted_rating': 16.491147664458826,\n",
       "  'predicted_rating_list': [2.960360468473481,\n",
       "   2.071142418525167,\n",
       "   2.529431333408977,\n",
       "   3.071100489632776,\n",
       "   2.4873911196678953,\n",
       "   3.371721834750526]},\n",
       " (56, 133, 26, 148, 101, 161, 81): {'total_predicted_rating': 19.9488888319094,\n",
       "  'predicted_rating_list': [3.278341659858921,\n",
       "   2.243110520964807,\n",
       "   2.7584170897749667,\n",
       "   3.199851819997653,\n",
       "   2.6069788841386696,\n",
       "   3.1677902937206133,\n",
       "   2.694398563453769]},\n",
       " (101, 23, 5, 8, 72, 139, 146): {'total_predicted_rating': 18.219627832311247,\n",
       "  'predicted_rating_list': [2.6069788841386696,\n",
       "   3.1673796377152557,\n",
       "   2.447856429923483,\n",
       "   2.1497422739311833,\n",
       "   2.5298165191341555,\n",
       "   2.4873911196678953,\n",
       "   2.830462967800603]},\n",
       " (96, 56, 129, 148, 0, 95): {'total_predicted_rating': 15.835823628830362,\n",
       "  'predicted_rating_list': [2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.070475337306837,\n",
       "   3.199851819997653,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139, 43, 8, 56, 10, 146, 26): {'total_predicted_rating': 19.69132219262765,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.278341659858921,\n",
       "   3.071100489632776,\n",
       "   2.830462967800603,\n",
       "   2.7584170897749667]},\n",
       " (72, 161, 133, 96, 36, 143, 26): {'total_predicted_rating': 18.71055866370058,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1677902937206133,\n",
       "   2.243110520964807,\n",
       "   2.340282286250237,\n",
       "   3.1573991126838234,\n",
       "   2.5137428411719784,\n",
       "   2.7584170897749667]},\n",
       " (37, 101, 41, 146, 10, 21, 161): {'total_predicted_rating': 21.72794454273,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   2.6069788841386696,\n",
       "   3.4348375305573473,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   3.1677902937206133]},\n",
       " (139, 43, 8, 161, 110, 0, 95): {'total_predicted_rating': 18.341417639204934,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   2.473754834507224,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (139, 43, 8, 161, 56, 0, 95): {'total_predicted_rating': 19.146004464556633,\n",
       "  'predicted_rating_list': [2.4873911196678953,\n",
       "   3.1158665919613036,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.278341659858921,\n",
       "   2.370819649202563,\n",
       "   2.5760528762141512]},\n",
       " (26, 8, 148, 56, 1, 194): {'total_predicted_rating': 16.35093692131282,\n",
       "  'predicted_rating_list': [2.7584170897749667,\n",
       "   2.1497422739311833,\n",
       "   3.199851819997653,\n",
       "   3.278341659858921,\n",
       "   2.5058996464880656,\n",
       "   2.4586844312620286]},\n",
       " (37, 161, 94, 96, 56, 143, 2): {'total_predicted_rating': 19.89251867499022,\n",
       "  'predicted_rating_list': [3.5016799627401873,\n",
       "   3.1677902937206133,\n",
       "   2.529431333408977,\n",
       "   2.340282286250237,\n",
       "   3.278341659858921,\n",
       "   2.5137428411719784,\n",
       "   2.5612502978393095]},\n",
       " (110, 26, 194, 2, 41, 94, 81): {'total_predicted_rating': 18.910774080803623,\n",
       "  'predicted_rating_list': [2.473754834507224,\n",
       "   2.7584170897749667,\n",
       "   2.4586844312620286,\n",
       "   2.5612502978393095,\n",
       "   3.4348375305573473,\n",
       "   2.529431333408977,\n",
       "   2.694398563453769]},\n",
       " (72, 101, 163, 56, 10, 21, 172): {'total_predicted_rating': 19.98362613467907,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   3.278341659858921,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.4706205351777335]},\n",
       " (139,\n",
       "  101,\n",
       "  163,\n",
       "  146,\n",
       "  10,\n",
       "  21,\n",
       "  81): {'total_predicted_rating': 19.717100071430533, 'predicted_rating_list': [2.4873911196678953,\n",
       "   2.6069788841386696,\n",
       "   2.9116736325970147,\n",
       "   2.830462967800603,\n",
       "   3.071100489632776,\n",
       "   3.1150944141398007,\n",
       "   2.694398563453769]},\n",
       " (72, 36, 8, 161, 148, 163, 95): {'total_predicted_rating': 19.692326528278596,\n",
       "  'predicted_rating_list': [2.5298165191341555,\n",
       "   3.1573991126838234,\n",
       "   2.1497422739311833,\n",
       "   3.1677902937206133,\n",
       "   3.199851819997653,\n",
       "   2.9116736325970147,\n",
       "   2.5760528762141512]}}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fitness_scores_dict"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot Recommender Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# PLOT BEST TOTAL FITNESS SCORES FOR EACH GENERATION\n",
    "    \n",
    "# PLOT BEST AVERAGE FITNESS SCORES FOR EACH GENERATION\n",
    "recommender.plot_best_total_solutions_by_generation(fitness_scores_dict, best_solutions_by_generation)\n",
    "plt.savefig('total_fitness_graph.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# PLOT BEST AVERAGE FITNESS SCORES FOR EACH GENERATION\n",
    "recommender.plot_best_average_solutions_by_generation(fitness_scores_dict, best_solutions_by_generation)\n",
    "plt.savefig('average_fitness_graph.png')"
   ]
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