user-usercolabfilter.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from surprise import KNNWithMeans\n",
    "from surprise import Dataset\n",
    "from surprise import accuracy\n",
    "from surprise.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the movielens-100k dataset  UserID::MovieID::Rating::Timestamp\n",
    "data = Dataset.load_builtin('ml-100k')\n",
    "trainset, testset = train_test_split(data, test_size=.15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimating biases using als...\n",
      "Computing the pearson_baseline similarity matrix...\n",
      "Done computing similarity matrix.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<surprise.prediction_algorithms.knns.KNNWithMeans at 0x7fca210449e8>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Use user_based true/false to switch between user-based or item-based collaborative filtering\n",
    "algo = KNNWithMeans(k=50, sim_options={'name': 'pearson_baseline', 'user_based': True})\n",
    "algo.fit(trainset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# we can now query for specific predicions\n",
    "uid = str(196)  # raw user id\n",
    "iid = str(302)  # raw item id"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "user: 196        item: 302        r_ui = None   est = 4.15   {'actual_k': 50, 'was_impossible': False}\n"
     ]
    }
   ],
   "source": [
    "# get a prediction for specific users and items.\n",
    "pred = algo.predict(uid, iid, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# run the trained model against the testset\n",
    "test_pred = algo.test(testset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Prediction(uid='880', iid='394', r_ui=3.0, est=2.630922756415493, details={'actual_k': 6, 'was_impossible': False}),\n",
       " Prediction(uid='774', iid='537', r_ui=2.0, est=2.3567094955871863, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='311', iid='133', r_ui=3.0, est=3.954052066202571, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='405', iid='374', r_ui=1.0, est=1.8147923597508526, details={'actual_k': 1, 'was_impossible': False}),\n",
       " Prediction(uid='539', iid='19', r_ui=5.0, est=4.484053794092207, details={'actual_k': 25, 'was_impossible': False}),\n",
       " Prediction(uid='128', iid='317', r_ui=4.0, est=4.25294418035144, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='267', iid='622', r_ui=3.0, est=3.590967627230192, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='450', iid='662', r_ui=4.0, est=3.7037721294173007, details={'actual_k': 37, 'was_impossible': False}),\n",
       " Prediction(uid='844', iid='690', r_ui=3.0, est=3.4295598681429533, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='144', iid='73', r_ui=3.0, est=3.658023565638494, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='913', iid='209', r_ui=2.0, est=3.908077269918978, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='889', iid='455', r_ui=4.0, est=3.4295511095889673, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='943', iid='423', r_ui=3.0, est=3.503667913019476, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='200', iid='429', r_ui=5.0, est=4.6673123677170985, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='210', iid='301', r_ui=4.0, est=3.7107130896910725, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='605', iid='282', r_ui=4.0, est=3.6008019742776054, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='722', iid='748', r_ui=4.0, est=3.503898714558164, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='373', iid='389', r_ui=3.0, est=3.965842742980198, details={'actual_k': 11, 'was_impossible': False}),\n",
       " Prediction(uid='805', iid='806', r_ui=4.0, est=3.189641835631373, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='690', r_ui=3.0, est=2.7569287817470993, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='648', iid='603', r_ui=5.0, est=3.7930923235439695, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='903', iid='977', r_ui=1.0, est=3.080335223679096, details={'actual_k': 19, 'was_impossible': False}),\n",
       " Prediction(uid='845', iid='1022', r_ui=2.0, est=2.769768608775851, details={'actual_k': 10, 'was_impossible': False}),\n",
       " Prediction(uid='836', iid='657', r_ui=5.0, est=4.586984253312238, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='342', iid='746', r_ui=4.0, est=3.658860218781189, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='308', iid='665', r_ui=4.0, est=3.1299232168678306, details={'actual_k': 43, 'was_impossible': False}),\n",
       " Prediction(uid='796', iid='143', r_ui=5.0, est=3.972378405557127, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='937', iid='283', r_ui=4.0, est=3.5733220829948746, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='862', iid='434', r_ui=5.0, est=4.816063806486408, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='240', iid='300', r_ui=3.0, est=4.009565727428585, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='158', iid='92', r_ui=4.0, est=4.212715336220839, details={'actual_k': 39, 'was_impossible': False}),\n",
       " Prediction(uid='654', iid='302', r_ui=5.0, est=4.08399116341264, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='233', iid='423', r_ui=4.0, est=4.596510857757447, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='406', iid='511', r_ui=5.0, est=4.076344467872145, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='417', iid='201', r_ui=4.0, est=3.4488566057472236, details={'actual_k': 40, 'was_impossible': False}),\n",
       " Prediction(uid='424', iid='882', r_ui=3.0, est=3.27215749347849, details={'actual_k': 13, 'was_impossible': False}),\n",
       " Prediction(uid='936', iid='324', r_ui=5.0, est=3.6020624616926913, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='655', iid='958', r_ui=3.0, est=3.00572803093055, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='442', iid='219', r_ui=3.0, est=3.1067651457836076, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='148', iid='713', r_ui=3.0, est=4.123220307678232, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='267', iid='53', r_ui=4.0, est=3.912566115677295, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='320', iid='405', r_ui=4.0, est=3.448061419872182, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='201', iid='672', r_ui=2.0, est=2.2149988620812238, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='844', iid='168', r_ui=4.0, est=4.176760563110102, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='222', iid='941', r_ui=3.0, est=2.6801348286271605, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='654', iid='257', r_ui=4.0, est=4.038422827999194, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='896', iid='570', r_ui=2.0, est=2.599042011856022, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='334', iid='430', r_ui=4.0, est=4.138181579765158, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='81', iid='93', r_ui=3.0, est=3.5926664068959053, details={'actual_k': 46, 'was_impossible': False}),\n",
       " Prediction(uid='600', iid='184', r_ui=3.0, est=3.7857806551595106, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='339', iid='942', r_ui=4.0, est=4.043917847401306, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='542', iid='401', r_ui=3.0, est=3.018895262719522, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='18', iid='126', r_ui=5.0, est=3.8258758086846316, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='830', iid='231', r_ui=2.0, est=2.7483059414665805, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='218', iid='42', r_ui=4.0, est=3.5780285666221, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='711', iid='652', r_ui=4.0, est=4.001442045550842, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='758', iid='420', r_ui=3.0, est=3.9934015674741947, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='154', iid='258', r_ui=3.0, est=4.072288593339857, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='730', iid='117', r_ui=3.0, est=3.418443733576334, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='130', iid='721', r_ui=3.0, est=4.287388720967078, details={'actual_k': 25, 'was_impossible': False}),\n",
       " Prediction(uid='922', iid='184', r_ui=3.0, est=3.501198233240212, details={'actual_k': 49, 'was_impossible': False}),\n",
       " Prediction(uid='476', iid='239', r_ui=4.0, est=3.6555488802276366, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='262', iid='70', r_ui=4.0, est=3.1351368283802734, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='551', iid='92', r_ui=5.0, est=3.8006349129097226, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='20', iid='181', r_ui=4.0, est=3.3879859884139334, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='261', iid='259', r_ui=4.0, est=3.647458201958258, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='621', iid='451', r_ui=1.0, est=3.122285013260632, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='291', iid='7', r_ui=5.0, est=4.11588106536798, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='244', iid='926', r_ui=2.0, est=2.5354918259257966, details={'actual_k': 34, 'was_impossible': False}),\n",
       " Prediction(uid='186', iid='294', r_ui=3.0, est=2.8384002529597456, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='185', iid='845', r_ui=4.0, est=3.7984738038793244, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='666', iid='638', r_ui=3.0, est=3.8396360841276285, details={'actual_k': 19, 'was_impossible': False}),\n",
       " Prediction(uid='435', iid='117', r_ui=3.0, est=3.725685676435543, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='119', iid='64', r_ui=4.0, est=4.6726170821477515, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='916', iid='405', r_ui=2.0, est=2.866671975436738, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='378', iid='409', r_ui=2.0, est=2.2947184730791017, details={'actual_k': 25, 'was_impossible': False}),\n",
       " Prediction(uid='435', iid='1', r_ui=5.0, est=3.697895689306677, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='727', iid='628', r_ui=3.0, est=2.9743685438817664, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='489', iid='353', r_ui=4.0, est=2.6244016613220635, details={'actual_k': 6, 'was_impossible': False}),\n",
       " Prediction(uid='285', iid='276', r_ui=4.0, est=3.934568523680961, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='771', iid='690', r_ui=4.0, est=3.6493567519104535, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='232', iid='22', r_ui=3.0, est=4.15173557448767, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='190', iid='148', r_ui=4.0, est=3.24255632062335, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='551', iid='849', r_ui=5.0, est=3.368705699598193, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='346', iid='1222', r_ui=4.0, est=2.4569946680351515, details={'actual_k': 15, 'was_impossible': False}),\n",
       " Prediction(uid='222', iid='89', r_ui=5.0, est=3.514198318228878, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='707', iid='1401', r_ui=3.0, est=2.692065941355609, details={'actual_k': 8, 'was_impossible': False}),\n",
       " Prediction(uid='417', iid='1230', r_ui=2.0, est=1.6002917686353006, details={'actual_k': 8, 'was_impossible': False}),\n",
       " Prediction(uid='275', iid='470', r_ui=3.0, est=3.234546665936402, details={'actual_k': 38, 'was_impossible': False}),\n",
       " Prediction(uid='861', iid='1227', r_ui=4.0, est=2.2814159046114995, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='504', iid='121', r_ui=4.0, est=3.7720477103655883, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='686', iid='427', r_ui=5.0, est=5, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='719', iid='281', r_ui=3.0, est=2.8098841741737943, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='642', iid='139', r_ui=1.0, est=2.9433010042771737, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='523', iid='189', r_ui=5.0, est=4.861611445419341, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='886', iid='238', r_ui=3.0, est=4.010198236028401, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='843', iid='214', r_ui=3.0, est=2.367654511979568, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='488', iid='511', r_ui=4.0, est=3.9454332412529576, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='653', iid='232', r_ui=2.0, est=2.486330448413764, details={'actual_k': 48, 'was_impossible': False}),\n",
       " Prediction(uid='747', iid='182', r_ui=5.0, est=4.872742229202196, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='535', iid='302', r_ui=3.0, est=4.681128205733458, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='664', iid='659', r_ui=5.0, est=4.143350574614643, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='593', iid='8', r_ui=3.0, est=3.9836819601105007, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='242', iid='1357', r_ui=5.0, est=2.8142589118198877, details={'actual_k': 1, 'was_impossible': False}),\n",
       " Prediction(uid='655', iid='462', r_ui=3.0, est=2.9977439149660623, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='896', iid='117', r_ui=2.0, est=3.0378396361731137, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='220', iid='682', r_ui=4.0, est=3.671290503674659, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='42', iid='1049', r_ui=3.0, est=3.090064591395703, details={'actual_k': 16, 'was_impossible': False}),\n",
       " Prediction(uid='276', iid='172', r_ui=5.0, est=4.479254592126998, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='272', iid='134', r_ui=5.0, est=5, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='490', iid='109', r_ui=5.0, est=2.6623809597798394, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='279', iid='434', r_ui=4.0, est=3.7124804782671164, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='663', iid='333', r_ui=5.0, est=3.9010107999381587, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='72', iid='81', r_ui=3.0, est=3.5368567632214525, details={'actual_k': 48, 'was_impossible': False}),\n",
       " Prediction(uid='77', iid='25', r_ui=2.0, est=3.234134790168438, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='629', iid='416', r_ui=4.0, est=4.1104099262337765, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='881', iid='1089', r_ui=1.0, est=1.7701033819852403, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='934', iid='755', r_ui=4.0, est=3.455255649857768, details={'actual_k': 46, 'was_impossible': False}),\n",
       " Prediction(uid='472', iid='91', r_ui=5.0, est=4.329557520445981, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='504', iid='154', r_ui=4.0, est=3.445943395845105, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='667', iid='79', r_ui=3.0, est=4.302650876661591, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='95', iid='1229', r_ui=2.0, est=1.681425678198143, details={'actual_k': 3, 'was_impossible': False}),\n",
       " Prediction(uid='328', iid='194', r_ui=3.0, est=4.060507175053159, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='870', iid='469', r_ui=4.0, est=3.787140541332667, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='16', iid='200', r_ui=5.0, est=4.480041935372498, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='236', iid='71', r_ui=3.0, est=3.8300898703839312, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='256', iid='761', r_ui=4.0, est=3.9211729854616197, details={'actual_k': 11, 'was_impossible': False}),\n",
       " Prediction(uid='125', iid='577', r_ui=2.0, est=2.653150070820596, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='154', iid='200', r_ui=5.0, est=4.383551938109812, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='301', iid='719', r_ui=4.0, est=2.7451664863960232, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='166', iid='751', r_ui=4.0, est=3.8205615362776197, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='469', iid='490', r_ui=5.0, est=4.811733014385297, details={'actual_k': 24, 'was_impossible': False}),\n",
       " Prediction(uid='524', iid='451', r_ui=3.0, est=3.1967217695626253, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='779', iid='181', r_ui=5.0, est=4.488542365918669, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='885', iid='50', r_ui=3.0, est=4.339667435995817, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='299', iid='143', r_ui=3.0, est=3.422565021469137, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='845', iid='311', r_ui=4.0, est=3.409664007011992, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='736', iid='127', r_ui=4.0, est=3.9446979445803394, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='756', iid='100', r_ui=5.0, est=3.4670886201476048, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='567', iid='482', r_ui=5.0, est=4.266211908053055, details={'actual_k': 48, 'was_impossible': False}),\n",
       " Prediction(uid='10', iid='470', r_ui=4.0, est=4.178719157400956, details={'actual_k': 49, 'was_impossible': False}),\n",
       " Prediction(uid='72', iid='241', r_ui=4.0, est=3.9621869451995124, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='650', iid='493', r_ui=4.0, est=3.7525251573160614, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='306', iid='476', r_ui=3.0, est=2.981716037317372, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='174', iid='722', r_ui=4.0, est=3.1070197494890106, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='393', iid='494', r_ui=4.0, est=3.335974876730924, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='643', iid='72', r_ui=4.0, est=3.280276529376639, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='732', iid='938', r_ui=1.0, est=3.429425820240503, details={'actual_k': 10, 'was_impossible': False}),\n",
       " Prediction(uid='30', iid='252', r_ui=3.0, est=3.1222976905280087, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='236', iid='686', r_ui=3.0, est=3.8611336958251967, details={'actual_k': 16, 'was_impossible': False}),\n",
       " Prediction(uid='494', iid='238', r_ui=5.0, est=4.45164169869077, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='417', iid='420', r_ui=4.0, est=3.4278821679083022, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='664', iid='118', r_ui=3.0, est=2.711071605051689, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='715', iid='692', r_ui=3.0, est=3.348917973715631, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='417', iid='562', r_ui=4.0, est=3.115862603305196, details={'actual_k': 24, 'was_impossible': False}),\n",
       " Prediction(uid='682', iid='83', r_ui=3.0, est=3.4770387334213106, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='600', iid='50', r_ui=4.0, est=4.563769109487856, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='271', iid='83', r_ui=4.0, est=3.8516404080205113, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='880', iid='40', r_ui=2.0, est=2.4413726796400343, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='655', iid='503', r_ui=3.0, est=2.7217173589560892, details={'actual_k': 13, 'was_impossible': False}),\n",
       " Prediction(uid='498', iid='675', r_ui=4.0, est=3.452545684579133, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='552', iid='118', r_ui=3.0, est=3.068259723554688, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='11', iid='508', r_ui=4.0, est=3.5036491327110477, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='428', iid='892', r_ui=4.0, est=3.134867792572086, details={'actual_k': 19, 'was_impossible': False}),\n",
       " Prediction(uid='880', iid='1185', r_ui=1.0, est=2.216605229649806, details={'actual_k': 8, 'was_impossible': False}),\n",
       " Prediction(uid='287', iid='476', r_ui=1.0, est=3.528590416813269, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='812', iid='286', r_ui=2.0, est=3.425015248169092, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='125', iid='346', r_ui=1.0, est=3.5946313560661496, details={'actual_k': 40, 'was_impossible': False}),\n",
       " Prediction(uid='500', iid='210', r_ui=3.0, est=3.144684040405053, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='844', iid='1474', r_ui=4.0, est=3.183597334448807, details={'actual_k': 3, 'was_impossible': False}),\n",
       " Prediction(uid='593', iid='966', r_ui=5.0, est=4.141569066719789, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='452', iid='318', r_ui=5.0, est=4.383766641155341, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='415', iid='328', r_ui=5.0, est=4.011831283185567, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='913', iid='461', r_ui=4.0, est=3.6109363391597666, details={'actual_k': 37, 'was_impossible': False}),\n",
       " Prediction(uid='537', iid='1267', r_ui=3.0, est=2.454148264079301, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='56', iid='201', r_ui=4.0, est=3.6024052708791046, details={'actual_k': 30, 'was_impossible': False}),\n",
       " Prediction(uid='541', iid='1047', r_ui=2.0, est=3.162432249692098, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='92', iid='451', r_ui=3.0, est=2.891720680752921, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='303', iid='792', r_ui=5.0, est=3.5787083882046407, details={'actual_k': 43, 'was_impossible': False}),\n",
       " Prediction(uid='509', iid='705', r_ui=4.0, est=2.935899152849176, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='168', iid='763', r_ui=2.0, est=3.284394299703612, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='151', iid='387', r_ui=5.0, est=3.823108916897093, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='741', iid='651', r_ui=4.0, est=4.133545528984269, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='805', iid='98', r_ui=5.0, est=3.8509040127280856, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='839', iid='121', r_ui=3.0, est=3.0805002876952967, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='738', iid='408', r_ui=5.0, est=4.623653829167669, details={'actual_k': 49, 'was_impossible': False}),\n",
       " Prediction(uid='236', iid='435', r_ui=4.0, est=3.542235452580358, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='500', iid='69', r_ui=4.0, est=3.0935762854771043, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='342', iid='1070', r_ui=3.0, est=4.034001453766882, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='774', iid='122', r_ui=1.0, est=1.0203544780575038, details={'actual_k': 46, 'was_impossible': False}),\n",
       " Prediction(uid='417', iid='242', r_ui=3.0, est=3.533962327377719, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='508', iid='1', r_ui=5.0, est=3.964795641706996, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='524', iid='676', r_ui=3.0, est=3.6011887816997112, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='545', iid='434', r_ui=3.0, est=3.8442394138758353, details={'actual_k': 30, 'was_impossible': False}),\n",
       " Prediction(uid='363', iid='752', r_ui=5.0, est=2.7691267219812996, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='753', iid='22', r_ui=4.0, est=4.013974791454404, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='655', iid='294', r_ui=3.0, est=2.2538717934314003, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='638', iid='238', r_ui=4.0, est=3.9689388306648574, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='28', iid='7', r_ui=5.0, est=4.247060971972475, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='923', iid='295', r_ui=5.0, est=3.982260254072498, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='387', iid='1008', r_ui=4.0, est=3.4308341975291596, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='933', iid='53', r_ui=1.0, est=2.284842595964937, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='60', iid='525', r_ui=5.0, est=4.468154318170854, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='437', iid='558', r_ui=3.0, est=3.7975513375417997, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='374', iid='1277', r_ui=3.0, est=3.063903893679106, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='314', iid='8', r_ui=4.0, est=4.022823596065155, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='268', iid='583', r_ui=4.0, est=2.1174065717594606, details={'actual_k': 16, 'was_impossible': False}),\n",
       " Prediction(uid='868', iid='91', r_ui=3.0, est=3.480177047427376, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='181', iid='363', r_ui=1.0, est=1, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='117', iid='252', r_ui=3.0, est=3.1916798514687064, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='665', iid='471', r_ui=3.0, est=3.4368849639744847, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='521', iid='121', r_ui=2.0, est=3.1111554086700446, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='394', iid='181', r_ui=4.0, est=4.3842588131277385, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='600', iid='435', r_ui=5.0, est=3.934528579776044, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='500', iid='100', r_ui=4.0, est=3.87899921974434, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='896', iid='474', r_ui=3.0, est=3.5131757304648694, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='492', iid='923', r_ui=5.0, est=3.950135860712059, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='309', iid='690', r_ui=3.0, est=3.6541144806134604, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='299', iid='546', r_ui=3.0, est=2.700954059614662, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='638', iid='175', r_ui=4.0, est=3.559101524101149, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='919', iid='367', r_ui=4.0, est=3.670055643364181, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='354', iid='929', r_ui=4.0, est=3.3589379519714, details={'actual_k': 12, 'was_impossible': False}),\n",
       " Prediction(uid='897', iid='501', r_ui=5.0, est=3.9430279987963, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='916', iid='511', r_ui=5.0, est=4.100080028431124, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='328', iid='586', r_ui=1.0, est=2.5817432187137053, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='85', iid='709', r_ui=5.0, est=4.015153952624295, details={'actual_k': 47, 'was_impossible': False}),\n",
       " Prediction(uid='293', iid='325', r_ui=2.0, est=2.045050464966899, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='64', iid='101', r_ui=2.0, est=3.477902177826539, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='419', iid='604', r_ui=5.0, est=4.292232753675407, details={'actual_k': 30, 'was_impossible': False}),\n",
       " Prediction(uid='378', iid='399', r_ui=3.0, est=3.0979716017446286, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='839', iid='455', r_ui=4.0, est=2.910624263109451, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='453', iid='652', r_ui=3.0, est=3.862412879802527, details={'actual_k': 40, 'was_impossible': False}),\n",
       " Prediction(uid='688', iid='359', r_ui=5.0, est=4.6699059171125885, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='551', iid='334', r_ui=4.0, est=3.913606372123605, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='454', iid='1063', r_ui=4.0, est=3.1762996880304497, details={'actual_k': 16, 'was_impossible': False}),\n",
       " Prediction(uid='312', iid='204', r_ui=4.0, est=4.418925007686335, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='476', iid='209', r_ui=4.0, est=3.646145752162999, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='488', iid='321', r_ui=3.0, est=2.7174200639037265, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='744', iid='483', r_ui=4.0, est=4.447345122558567, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='321', iid='493', r_ui=4.0, est=4.089964156734084, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='204', iid='322', r_ui=3.0, est=2.4766513200503484, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='725', iid='15', r_ui=4.0, est=3.583101077853215, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='833', iid='168', r_ui=5.0, est=3.546108366159846, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='374', iid='144', r_ui=5.0, est=3.8575281978235743, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='239', iid='492', r_ui=3.0, est=4.58165404979847, details={'actual_k': 33, 'was_impossible': False}),\n",
       " Prediction(uid='747', iid='732', r_ui=3.0, est=3.9855650429491667, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='320', iid='849', r_ui=4.0, est=2.919648568427669, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='221', iid='173', r_ui=4.0, est=4.33468640905073, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='363', iid='193', r_ui=3.0, est=3.4294675701341695, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='308', iid='133', r_ui=3.0, est=3.8537770045760538, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='276', iid='262', r_ui=4.0, est=3.8141043985113146, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='617', iid='313', r_ui=1.0, est=3.1012466518176205, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='632', iid='475', r_ui=3.0, est=3.464853730607972, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='118', iid='655', r_ui=5.0, est=5, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='629', iid='504', r_ui=4.0, est=4.301864657193036, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='436', iid='658', r_ui=5.0, est=3.9877405310500142, details={'actual_k': 39, 'was_impossible': False}),\n",
       " Prediction(uid='542', iid='95', r_ui=3.0, est=3.5050035833254927, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='268', iid='120', r_ui=2.0, est=1.6698930928604474, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='403', iid='117', r_ui=4.0, est=4.07465651801182, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='909', iid='292', r_ui=4.0, est=4.525867252395817, details={'actual_k': 39, 'was_impossible': False}),\n",
       " Prediction(uid='880', iid='801', r_ui=3.0, est=2.5572412403594686, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='214', iid='318', r_ui=4.0, est=4.448886257019565, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='437', iid='12', r_ui=5.0, est=4.254862301209823, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='654', iid='249', r_ui=5.0, est=3.255590843335606, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='109', iid='755', r_ui=5.0, est=3.261658611177328, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='450', iid='91', r_ui=4.0, est=3.7950692194315363, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='655', iid='28', r_ui=3.0, est=2.9022170171062633, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='474', iid='493', r_ui=4.0, est=4.825162597085766, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='432', iid='276', r_ui=4.0, est=3.785799934707819, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='378', iid='11', r_ui=3.0, est=3.700343807078667, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='881', iid='276', r_ui=5.0, est=2.8898145609627814, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='687', iid='313', r_ui=5.0, est=4.270888660118999, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='586', iid='849', r_ui=3.0, est=2.9893214488698945, details={'actual_k': 19, 'was_impossible': False}),\n",
       " Prediction(uid='659', iid='58', r_ui=4.0, est=3.9453459698814135, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='786', iid='71', r_ui=5.0, est=4.258900006220939, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='493', iid='411', r_ui=1.0, est=3.132606226944025, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='672', iid='124', r_ui=3.0, est=3.703895460881834, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='151', iid='111', r_ui=4.0, est=3.815514897906958, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='524', iid='506', r_ui=4.0, est=3.9490056173239485, details={'actual_k': 37, 'was_impossible': False}),\n",
       " Prediction(uid='450', iid='384', r_ui=3.0, est=3.2863682104749166, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='747', iid='268', r_ui=5.0, est=4.382534174804996, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='551', iid='627', r_ui=3.0, est=3.795714752402816, details={'actual_k': 25, 'was_impossible': False}),\n",
       " Prediction(uid='542', iid='265', r_ui=4.0, est=3.7394518139666992, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='538', iid='528', r_ui=5.0, est=4.171649580790146, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='83', iid='338', r_ui=4.0, est=2.7686002601207633, details={'actual_k': 33, 'was_impossible': False}),\n",
       " Prediction(uid='459', iid='216', r_ui=3.0, est=3.7889451268273455, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='354', iid='88', r_ui=2.0, est=3.308107242175975, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='17', iid='276', r_ui=4.0, est=3.292236124832725, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='271', iid='661', r_ui=4.0, est=4.127930572958954, details={'actual_k': 47, 'was_impossible': False}),\n",
       " Prediction(uid='246', iid='236', r_ui=4.0, est=3.0339569796026455, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='633', iid='172', r_ui=3.0, est=4.099551386774769, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='854', iid='709', r_ui=4.0, est=3.844949065210937, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='709', iid='823', r_ui=3.0, est=2.939783515326794, details={'actual_k': 38, 'was_impossible': False}),\n",
       " Prediction(uid='786', iid='99', r_ui=4.0, est=4.169665861062205, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='201', iid='124', r_ui=3.0, est=3.6719835314317693, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='500', iid='1008', r_ui=4.0, est=3.416716061352394, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='264', iid='182', r_ui=5.0, est=4.710521585683412, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='271', iid='338', r_ui=1.0, est=2.8083526951697233, details={'actual_k': 40, 'was_impossible': False}),\n",
       " Prediction(uid='87', iid='684', r_ui=5.0, est=4.242311637905214, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='663', iid='544', r_ui=4.0, est=3.5264110862071383, details={'actual_k': 34, 'was_impossible': False}),\n",
       " Prediction(uid='535', iid='1', r_ui=3.0, est=4.362710864202287, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='334', iid='561', r_ui=2.0, est=3.1546501089908476, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='264', iid='721', r_ui=5.0, est=3.692379153332365, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='653', iid='258', r_ui=3.0, est=3.121623884402735, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='36', iid='358', r_ui=5.0, est=3.0961310396392023, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='62', iid='53', r_ui=2.0, est=3.267543500393597, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='330', iid='403', r_ui=5.0, est=4.6201761023677514, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='718', iid='689', r_ui=4.0, est=3.3649853979277964, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='308', iid='204', r_ui=4.0, est=3.814784814100313, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='173', iid='324', r_ui=5.0, est=3.6027780050703706, details={'actual_k': 39, 'was_impossible': False}),\n",
       " Prediction(uid='429', iid='223', r_ui=4.0, est=4.233959401539504, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='334', iid='190', r_ui=4.0, est=4.140065702330998, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='847', iid='609', r_ui=2.0, est=2.6414713042697726, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='460', iid='257', r_ui=2.0, est=3.2584799163444815, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='716', iid='836', r_ui=4.0, est=4.307968554993086, details={'actual_k': 12, 'was_impossible': False}),\n",
       " Prediction(uid='705', iid='862', r_ui=1.0, est=2.6445651703999773, details={'actual_k': 7, 'was_impossible': False}),\n",
       " Prediction(uid='213', iid='831', r_ui=4.0, est=3.565828589069211, details={'actual_k': 33, 'was_impossible': False}),\n",
       " Prediction(uid='918', iid='487', r_ui=4.0, est=3.32381746145656, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='326', iid='403', r_ui=3.0, est=3.296709548925229, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='874', iid='125', r_ui=3.0, est=3.7137823406023687, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='498', iid='527', r_ui=3.0, est=3.6297940422247557, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='1', iid='235', r_ui=5.0, est=2.9365686911589997, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='23', iid='526', r_ui=3.0, est=3.7696390085548117, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='311', iid='365', r_ui=4.0, est=3.891914803370771, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='303', iid='436', r_ui=4.0, est=3.526568410678136, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='300', iid='872', r_ui=5.0, est=3.1368220982483743, details={'actual_k': 13, 'was_impossible': False}),\n",
       " Prediction(uid='815', iid='515', r_ui=5.0, est=4.30858789375889, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='222', iid='585', r_ui=3.0, est=2.285409952843005, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='620', iid='164', r_ui=5.0, est=3.9590545311171383, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='682', iid='728', r_ui=3.0, est=2.669462386185208, details={'actual_k': 15, 'was_impossible': False}),\n",
       " Prediction(uid='629', iid='381', r_ui=4.0, est=3.6874108157418437, details={'actual_k': 37, 'was_impossible': False}),\n",
       " Prediction(uid='608', iid='448', r_ui=5.0, est=3.4649387754569196, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='174', iid='239', r_ui=4.0, est=3.797995868663233, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='406', iid='216', r_ui=3.0, est=3.8432064259485523, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='638', iid='554', r_ui=3.0, est=3.0650136531076804, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='758', iid='208', r_ui=4.0, est=4.360944142541468, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='930', iid='237', r_ui=3.0, est=3.0738837457869383, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='409', iid='45', r_ui=4.0, est=3.925509718144116, details={'actual_k': 39, 'was_impossible': False}),\n",
       " Prediction(uid='405', iid='302', r_ui=4.0, est=2.407169184605272, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='736', r_ui=4.0, est=3.270148427036642, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='23', iid='55', r_ui=4.0, est=3.7827860076930526, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='79', iid='275', r_ui=4.0, est=4.4193697031283, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='255', iid='117', r_ui=2.0, est=2.808169532869076, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='771', iid='768', r_ui=4.0, est=3.5604272704343995, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='831', iid='333', r_ui=4.0, est=3.6235575484165548, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='878', iid='151', r_ui=1.0, est=3.421025411258635, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='480', iid='462', r_ui=4.0, est=3.9015273254239524, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='354', iid='52', r_ui=5.0, est=4.170335232379396, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='519', iid='908', r_ui=5.0, est=3.824564429370224, details={'actual_k': 7, 'was_impossible': False}),\n",
       " Prediction(uid='871', iid='575', r_ui=5.0, est=2.894662269027334, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='176', iid='327', r_ui=3.0, est=3.718167402026686, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='363', iid='182', r_ui=1.0, est=3.5834725679789847, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='405', iid='1487', r_ui=1.0, est=1, details={'actual_k': 1, 'was_impossible': False}),\n",
       " Prediction(uid='16', iid='144', r_ui=5.0, est=4.785677976514364, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='381', iid='509', r_ui=5.0, est=4.2124123976439245, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='187', iid='215', r_ui=3.0, est=4.057018160029506, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='935', iid='257', r_ui=2.0, est=4.335971667510919, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='195', iid='508', r_ui=3.0, est=3.5813458877159365, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='643', iid='790', r_ui=4.0, est=2.9420696008921308, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='503', iid='211', r_ui=5.0, est=4.314399366681351, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='611', iid='690', r_ui=3.0, est=3.935435232532263, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='363', iid='578', r_ui=4.0, est=2.8198720743936887, details={'actual_k': 38, 'was_impossible': False}),\n",
       " Prediction(uid='343', iid='358', r_ui=1.0, est=3.0860572752407145, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='666', iid='428', r_ui=3.0, est=4.173420713187346, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='801', iid='288', r_ui=5.0, est=4.681461532134594, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='7', iid='668', r_ui=4.0, est=2.471954078508383, details={'actual_k': 4, 'was_impossible': False}),\n",
       " Prediction(uid='112', iid='346', r_ui=5.0, est=3.680124919945141, details={'actual_k': 46, 'was_impossible': False}),\n",
       " Prediction(uid='216', iid='824', r_ui=3.0, est=3.1883843429037118, details={'actual_k': 24, 'was_impossible': False}),\n",
       " Prediction(uid='880', iid='222', r_ui=4.0, est=3.2184624017895875, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='553', iid='99', r_ui=5.0, est=4.103010067169937, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='406', iid='132', r_ui=5.0, est=4.004207776908741, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='634', iid='408', r_ui=3.0, est=4.241225769017647, details={'actual_k': 47, 'was_impossible': False}),\n",
       " Prediction(uid='257', iid='269', r_ui=3.0, est=4.49877909389134, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='380', iid='60', r_ui=4.0, est=3.6366638643840314, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='567', iid='183', r_ui=4.0, est=4.465442784491081, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='746', iid='506', r_ui=3.0, est=3.6702735456910363, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='465', iid='603', r_ui=4.0, est=4.181522514360479, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='108', iid='181', r_ui=3.0, est=3.8503568623084057, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='63', iid='258', r_ui=3.0, est=3.5334861288240336, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='389', iid='124', r_ui=4.0, est=4.461777340597971, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='257', iid='166', r_ui=4.0, est=4.4210794994425955, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='900', iid='121', r_ui=2.0, est=2.4342957353249144, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='381', iid='847', r_ui=4.0, est=4.119291609813024, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='220', iid='332', r_ui=3.0, est=3.7203651194604253, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='215', iid='433', r_ui=3.0, est=3.7903548075183613, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='56', iid='385', r_ui=4.0, est=4.033100739427232, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='422', iid='867', r_ui=3.0, est=3.624124897541263, details={'actual_k': 3, 'was_impossible': False}),\n",
       " Prediction(uid='895', iid='100', r_ui=4.0, est=4.373811214473321, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='361', iid='1152', r_ui=2.0, est=3.473391082412071, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='391', iid='474', r_ui=5.0, est=4.735348280050799, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='922', iid='427', r_ui=5.0, est=4.01596145513669, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='523', iid='14', r_ui=5.0, est=4.414617039737525, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='313', iid='461', r_ui=3.0, est=3.528566263037898, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='445', iid='1011', r_ui=1.0, est=1.655138436836979, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='617', iid='320', r_ui=5.0, est=3.2247591606020345, details={'actual_k': 13, 'was_impossible': False}),\n",
       " Prediction(uid='852', iid='408', r_ui=5.0, est=4.3684247651312935, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='174', iid='401', r_ui=1.0, est=2.658136206350659, details={'actual_k': 34, 'was_impossible': False}),\n",
       " Prediction(uid='537', iid='528', r_ui=3.0, est=3.4359121551063434, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='731', iid='140', r_ui=2.0, est=3.112273436316838, details={'actual_k': 30, 'was_impossible': False}),\n",
       " Prediction(uid='263', iid='732', r_ui=5.0, est=4.113447260737184, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='429', iid='737', r_ui=4.0, est=2.9036111490299503, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='428', iid='690', r_ui=5.0, est=4.132393027654895, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='82', iid='71', r_ui=4.0, est=3.2934521510652197, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='792', iid='147', r_ui=4.0, est=2.8530305545805854, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='650', iid='588', r_ui=3.0, est=3.3097662378204964, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='364', iid='948', r_ui=4.0, est=2.4206687709224894, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='595', iid='336', r_ui=2.0, est=1.7429016481386228, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='900', iid='871', r_ui=1.0, est=1.5122829812349088, details={'actual_k': 24, 'was_impossible': False}),\n",
       " Prediction(uid='490', iid='1067', r_ui=2.0, est=3.1192603889929287, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='299', iid='597', r_ui=3.0, est=2.938145771756977, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='169', iid='606', r_ui=5.0, est=4.005326076529234, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='299', iid='13', r_ui=4.0, est=3.5726730090597405, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='564', iid='281', r_ui=3.0, est=3.14573789697597, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='846', iid='168', r_ui=5.0, est=4.190852057978846, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='474', iid='514', r_ui=4.0, est=4.394499181705347, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='330', iid='1044', r_ui=5.0, est=4.522576939702572, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='206', iid='904', r_ui=1.0, est=2.1755959634567827, details={'actual_k': 7, 'was_impossible': False}),\n",
       " Prediction(uid='295', iid='72', r_ui=4.0, est=3.912168481834459, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='497', iid='465', r_ui=3.0, est=3.193124861389763, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='595', iid='222', r_ui=3.0, est=3.1134501946524042, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='758', iid='11', r_ui=3.0, est=4.405047771897857, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='144', iid='1169', r_ui=4.0, est=4.23087572358451, details={'actual_k': 3, 'was_impossible': False}),\n",
       " Prediction(uid='621', iid='183', r_ui=4.0, est=4.152793263161302, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='224', iid='178', r_ui=4.0, est=3.711395372863533, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='880', iid='956', r_ui=3.0, est=3.4952685723434356, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='174', iid='708', r_ui=5.0, est=3.171129652274152, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='543', iid='474', r_ui=5.0, est=4.233866204267174, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='94', iid='226', r_ui=2.0, est=3.1069306534999224, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='490', iid='224', r_ui=2.0, est=3.3576714895190705, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='293', iid='143', r_ui=4.0, est=2.9026548146907016, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='59', iid='211', r_ui=5.0, est=4.541212746444417, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='389', iid='131', r_ui=3.0, est=4.137191404404961, details={'actual_k': 44, 'was_impossible': False}),\n",
       " Prediction(uid='130', iid='150', r_ui=5.0, est=4.134916300071957, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='654', iid='385', r_ui=4.0, est=3.9725408814869736, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='84', iid='322', r_ui=3.0, est=3.345731607900775, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='56', iid='97', r_ui=3.0, est=4.001665878664772, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='9', iid='487', r_ui=5.0, est=4.596883395868999, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='882', iid='7', r_ui=4.0, est=4.2850219922216475, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='763', iid='1006', r_ui=2.0, est=3.5281377201725626, details={'actual_k': 10, 'was_impossible': False}),\n",
       " Prediction(uid='222', iid='154', r_ui=3.0, est=3.1735866732949205, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='246', iid='652', r_ui=5.0, est=3.5635458996003404, details={'actual_k': 48, 'was_impossible': False}),\n",
       " Prediction(uid='666', iid='510', r_ui=4.0, est=3.9557229910980065, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='682', iid='748', r_ui=3.0, est=2.402047609199334, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='64', iid='95', r_ui=4.0, est=3.6372764298451328, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='638', iid='144', r_ui=5.0, est=3.9909439719797946, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='880', iid='471', r_ui=4.0, est=3.4927972175276123, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='178', iid='125', r_ui=4.0, est=3.919699494745326, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='42', iid='1051', r_ui=4.0, est=3.5410532588053827, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='406', iid='675', r_ui=4.0, est=3.949080864741683, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='603', iid='100', r_ui=4.0, est=4.145488720658798, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='64', iid='62', r_ui=2.0, est=3.2653187481455523, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='56', iid='523', r_ui=4.0, est=3.9989071047097795, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='426', iid='1116', r_ui=4.0, est=3.9966108987812463, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='829', iid='339', r_ui=2.0, est=3.269332769391658, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='109', iid='475', r_ui=1.0, est=3.1437686580703876, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='545', iid='450', r_ui=2.0, est=2.5505067283894505, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='437', iid='161', r_ui=2.0, est=3.372369983946426, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='83', iid='196', r_ui=5.0, est=3.972707108615289, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='496', iid='1401', r_ui=3.0, est=2.871883914863628, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='379', r_ui=1.0, est=2.235794210208775, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='416', iid='28', r_ui=5.0, est=4.520098334157545, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='106', iid='318', r_ui=5.0, est=4.586904919556277, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='524', iid='612', r_ui=3.0, est=3.505246796669257, details={'actual_k': 14, 'was_impossible': False}),\n",
       " Prediction(uid='201', iid='1268', r_ui=4.0, est=3.087473211054805, details={'actual_k': 7, 'was_impossible': False}),\n",
       " Prediction(uid='591', iid='357', r_ui=5.0, est=4.505286795668369, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='567', iid='492', r_ui=4.0, est=4.385800504467521, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='892', iid='150', r_ui=5.0, est=4.255810478314356, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='60', iid='210', r_ui=4.0, est=4.23928619998845, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='629', iid='265', r_ui=4.0, est=4.733632779778023, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='648', iid='1047', r_ui=2.0, est=2.7482642493310285, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='790', iid='561', r_ui=3.0, est=3.036660065075263, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='406', iid='317', r_ui=4.0, est=3.9674801178353163, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='654', iid='588', r_ui=4.0, est=4.160312821197906, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='524', iid='174', r_ui=4.0, est=3.904203943826013, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='327', iid='237', r_ui=4.0, est=3.3371240056398728, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='378', iid='591', r_ui=4.0, est=3.483712577215602, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='935', iid='237', r_ui=5.0, est=4.289530470946146, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='443', r_ui=4.0, est=3.27184670855606, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='267', iid='226', r_ui=3.0, est=3.521477856550297, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='559', iid='322', r_ui=4.0, est=3.160355779197806, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='709', iid='1', r_ui=4.0, est=4.046373717874088, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='314', iid='393', r_ui=4.0, est=3.9680171071294867, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='507', iid='269', r_ui=2.0, est=5, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='343', iid='79', r_ui=4.0, est=4.440019084080498, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='38', iid='288', r_ui=5.0, est=3.8896012914379843, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='195', iid='143', r_ui=5.0, est=3.336747779931854, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='303', iid='416', r_ui=3.0, est=3.321759739186096, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='749', iid='101', r_ui=4.0, est=3.3579175789486975, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='622', iid='1408', r_ui=1.0, est=1.6238847952380846, details={'actual_k': 2, 'was_impossible': False}),\n",
       " Prediction(uid='308', iid='472', r_ui=2.0, est=2.9073672176733787, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='789', iid='1012', r_ui=4.0, est=3.8501755112832856, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='189', iid='632', r_ui=5.0, est=4.03374662432621, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='664', iid='770', r_ui=4.0, est=3.9121117100819656, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='854', iid='333', r_ui=3.0, est=3.120883908247967, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='232', iid='508', r_ui=1.0, est=4.085671948327871, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='406', iid='238', r_ui=2.0, est=3.858683263582321, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='805', iid='729', r_ui=3.0, est=2.895180144510277, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='856', iid='749', r_ui=3.0, est=3.263293867965499, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='311', iid='469', r_ui=5.0, est=3.6489208665375537, details={'actual_k': 19, 'was_impossible': False}),\n",
       " Prediction(uid='825', iid='928', r_ui=3.0, est=3.681901112011263, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='439', iid='288', r_ui=3.0, est=3.8183214783271247, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='646', r_ui=4.0, est=3.3169746544775256, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='299', iid='165', r_ui=4.0, est=3.8381043521022704, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='11', iid='738', r_ui=3.0, est=3.430160852218448, details={'actual_k': 8, 'was_impossible': False}),\n",
       " Prediction(uid='207', iid='135', r_ui=2.0, est=3.4098049632368714, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='125', iid='73', r_ui=5.0, est=3.584992335368914, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='466', iid='300', r_ui=3.0, est=3.8671837049983386, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='393', iid='576', r_ui=3.0, est=3.2609523040890767, details={'actual_k': 38, 'was_impossible': False}),\n",
       " Prediction(uid='413', iid='250', r_ui=3.0, est=3.6650485133554094, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='757', iid='693', r_ui=4.0, est=3.5108643195601, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='763', iid='28', r_ui=3.0, est=3.8708006400663098, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='757', iid='125', r_ui=2.0, est=3.3757725910135132, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='201', iid='682', r_ui=3.0, est=2.7103104814222045, details={'actual_k': 44, 'was_impossible': False}),\n",
       " Prediction(uid='936', iid='1068', r_ui=4.0, est=3.7645518900862154, details={'actual_k': 6, 'was_impossible': False}),\n",
       " Prediction(uid='537', iid='230', r_ui=2.0, est=2.323633021642687, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='151', iid='962', r_ui=1.0, est=3.641861826111946, details={'actual_k': 10, 'was_impossible': False}),\n",
       " Prediction(uid='189', iid='1401', r_ui=4.0, est=3.932739350914594, details={'actual_k': 6, 'was_impossible': False}),\n",
       " Prediction(uid='234', iid='77', r_ui=3.0, est=2.594091449519881, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='697', iid='1059', r_ui=2.0, est=3.4195709842331765, details={'actual_k': 19, 'was_impossible': False}),\n",
       " Prediction(uid='517', iid='369', r_ui=5.0, est=2.3799979579640476, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='533', iid='1016', r_ui=3.0, est=3.553035139969815, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='624', iid='269', r_ui=4.0, est=4.068161785053007, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='569', iid='125', r_ui=3.0, est=3.1805173932825066, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='889', iid='96', r_ui=4.0, est=4.049948183414329, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='313', iid='403', r_ui=3.0, est=3.429362076446574, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='339', iid='770', r_ui=4.0, est=4.246091871502698, details={'actual_k': 25, 'was_impossible': False}),\n",
       " Prediction(uid='116', iid='20', r_ui=3.0, est=2.769093026084253, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='326', iid='613', r_ui=5.0, est=3.2198913304168024, details={'actual_k': 11, 'was_impossible': False}),\n",
       " Prediction(uid='311', iid='654', r_ui=3.0, est=3.9044913213200236, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='695', iid='311', r_ui=4.0, est=3.7078041476234858, details={'actual_k': 34, 'was_impossible': False}),\n",
       " Prediction(uid='26', iid='25', r_ui=3.0, est=3.0074548604428553, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='711', iid='258', r_ui=4.0, est=4.065967963187859, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='273', iid='347', r_ui=4.0, est=3.639676510194693, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='903', iid='120', r_ui=2.0, est=2.614507301358652, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='594', iid='515', r_ui=5.0, est=3.9101841053815805, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='314', iid='132', r_ui=4.0, est=4.221468605385089, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='296', iid='705', r_ui=5.0, est=4.394139606855817, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='327', iid='1019', r_ui=3.0, est=3.4720520743898553, details={'actual_k': 15, 'was_impossible': False}),\n",
       " Prediction(uid='222', iid='77', r_ui=4.0, est=3.112705710001263, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='853', iid='327', r_ui=3.0, est=2.760100887253419, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='883', iid='49', r_ui=3.0, est=3.381129386997714, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='839', iid='825', r_ui=4.0, est=2.519971399340507, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='293', iid='931', r_ui=1.0, est=1.377042453811587, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='100', iid='292', r_ui=2.0, est=3.140767803870892, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='812', iid='261', r_ui=1.0, est=3.2118539964567865, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='537', iid='530', r_ui=4.0, est=3.3550471886858353, details={'actual_k': 43, 'was_impossible': False}),\n",
       " Prediction(uid='213', iid='192', r_ui=5.0, est=4.748364143075438, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='452', iid='134', r_ui=3.0, est=4.045807764959253, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='109', iid='164', r_ui=5.0, est=3.634675257083314, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='5', iid='209', r_ui=5.0, est=3.3657278198960343, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='922', iid='596', r_ui=4.0, est=3.3965268586870843, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='470', iid='19', r_ui=4.0, est=3.6088075329469875, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='774', iid='926', r_ui=1.0, est=1.1129124441520575, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='606', iid='64', r_ui=5.0, est=4.662094400240002, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='44', iid='520', r_ui=5.0, est=4.210299298202779, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='347', iid='233', r_ui=5.0, est=3.6852719622954235, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='864', iid='7', r_ui=5.0, est=4.196412780966564, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='62', iid='1009', r_ui=4.0, est=3.1535764248513267, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='301', iid='1135', r_ui=3.0, est=3.218019765769713, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='194', iid='204', r_ui=4.0, est=3.238127801683343, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='314', iid='202', r_ui=5.0, est=3.8150281596790876, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='6', iid='274', r_ui=4.0, est=3.3307376577465266, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='398', iid='86', r_ui=3.0, est=3.8803381945183415, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='271', iid='490', r_ui=4.0, est=4.087033420718514, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='804', iid='199', r_ui=5.0, est=4.357092711267748, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='273', iid='315', r_ui=4.0, est=4.134566780111335, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='207', iid='841', r_ui=3.0, est=2.889412443904233, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='194', iid='192', r_ui=5.0, est=3.575076718802313, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='504', iid='53', r_ui=4.0, est=3.0736795240219097, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='181', iid='459', r_ui=1.0, est=2.047970634688026, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='605', iid='286', r_ui=4.0, est=3.698172396792464, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='846', iid='560', r_ui=1.0, est=3.3980527857937557, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='749', iid='969', r_ui=4.0, est=3.9429444302563303, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='64', iid='318', r_ui=4.0, est=4.496918929385224, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='130', iid='1088', r_ui=2.0, est=2.047644070069671, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='99', iid='56', r_ui=5.0, est=4.353255829084387, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='715', iid='98', r_ui=5.0, est=4.284963542998112, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='178', iid='427', r_ui=5.0, est=4.358171787975293, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='253', iid='200', r_ui=4.0, est=4.0826723682411785, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='151', iid='4', r_ui=5.0, est=3.8297096913462205, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='892', iid='73', r_ui=3.0, est=3.888199185416185, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='299', iid='615', r_ui=4.0, est=3.75858971957614, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='721', iid='258', r_ui=3.0, est=4.04491680751663, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='306', iid='242', r_ui=5.0, est=4.4229267516052735, details={'actual_k': 44, 'was_impossible': False}),\n",
       " Prediction(uid='233', iid='483', r_ui=5.0, est=5, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='846', iid='568', r_ui=4.0, est=3.80316669836572, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='503', iid='269', r_ui=5.0, est=4.190737968426259, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='116', iid='650', r_ui=2.0, est=3.2792029260153424, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='555', iid='319', r_ui=5.0, est=3.693777035872195, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='495', iid='633', r_ui=5.0, est=4.249831147043794, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='854', iid='919', r_ui=4.0, est=3.3509087812892187, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='664', iid='469', r_ui=3.0, est=4.170251377770889, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='20', iid='151', r_ui=3.0, est=3.0383777590362886, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='178', iid='566', r_ui=4.0, est=3.8521991385245333, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='790', iid='38', r_ui=2.0, est=2.525473795677959, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='404', iid='289', r_ui=1.0, est=2.8106140970692137, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='296', iid='303', r_ui=4.0, est=4.424712602153456, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='516', iid='310', r_ui=4.0, est=4.203240544715962, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='405', iid='193', r_ui=4.0, est=2.257236180216599, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='91', iid='265', r_ui=5.0, est=4.415367672215093, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='151', iid='432', r_ui=5.0, est=4.411751370818549, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='308', iid='1073', r_ui=3.0, est=3.9465431269238707, details={'actual_k': 42, 'was_impossible': False}),\n",
       " Prediction(uid='7', iid='634', r_ui=5.0, est=4.52959172820149, details={'actual_k': 11, 'was_impossible': False}),\n",
       " Prediction(uid='194', iid='222', r_ui=1.0, est=2.9797256201296958, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='755', iid='311', r_ui=4.0, est=3.3667889507656756, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='877', iid='226', r_ui=3.0, est=3.443383185258909, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='537', iid='770', r_ui=3.0, est=3.0415630559631452, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='630', iid='237', r_ui=5.0, est=3.5199900673568734, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='256', iid='566', r_ui=5.0, est=4.2233855595006, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='798', iid='116', r_ui=3.0, est=3.4664048946234227, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='181', iid='1319', r_ui=1.0, est=1, details={'actual_k': 1, 'was_impossible': False}),\n",
       " Prediction(uid='537', iid='117', r_ui=2.0, est=2.5370887567070373, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='878', iid='64', r_ui=5.0, est=4.084782925952408, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='507', iid='245', r_ui=5.0, est=4.674844491960421, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='279', iid='1048', r_ui=1.0, est=3.067802936332625, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='502', iid='328', r_ui=4.0, est=3.037575562476233, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='540', iid='257', r_ui=4.0, est=3.8619183142890137, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='835', iid='505', r_ui=3.0, est=4.532124141332625, details={'actual_k': 30, 'was_impossible': False}),\n",
       " Prediction(uid='645', iid='664', r_ui=4.0, est=4.2386205340921395, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='896', iid='2', r_ui=3.0, est=2.649007022137635, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='392', iid='303', r_ui=4.0, est=4.265136421608235, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='387', iid='239', r_ui=1.0, est=3.1864421455438308, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='798', r_ui=2.0, est=1.8868068493301215, details={'actual_k': 3, 'was_impossible': False}),\n",
       " Prediction(uid='267', iid='238', r_ui=4.0, est=4.904142746590703, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='580', iid='151', r_ui=2.0, est=3.881939447639473, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='311', iid='77', r_ui=5.0, est=3.9638489511306063, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='425', iid='157', r_ui=2.0, est=3.15142628157815, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='393', iid='681', r_ui=3.0, est=2.732099424635207, details={'actual_k': 14, 'was_impossible': False}),\n",
       " Prediction(uid='267', iid='380', r_ui=2.0, est=3.4913815765698244, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='479', iid='931', r_ui=2.0, est=1.880183792877495, details={'actual_k': 24, 'was_impossible': False}),\n",
       " Prediction(uid='122', iid='190', r_ui=4.0, est=4.434551189073875, details={'actual_k': 49, 'was_impossible': False}),\n",
       " Prediction(uid='109', iid='117', r_ui=5.0, est=3.9265776420718415, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='593', iid='393', r_ui=4.0, est=3.8222198900824185, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='846', iid='99', r_ui=4.0, est=3.8334470192631906, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='907', iid='813', r_ui=5.0, est=4.924782810703419, details={'actual_k': 15, 'was_impossible': False}),\n",
       " Prediction(uid='416', iid='265', r_ui=5.0, est=4.425089323319407, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='500', iid='727', r_ui=2.0, est=3.1567548463072765, details={'actual_k': 33, 'was_impossible': False}),\n",
       " Prediction(uid='873', iid='342', r_ui=4.0, est=2.777051116866991, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='748', iid='678', r_ui=2.0, est=3.1672352465296116, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='458', iid='925', r_ui=3.0, est=3.5901438596013704, details={'actual_k': 8, 'was_impossible': False}),\n",
       " Prediction(uid='487', iid='276', r_ui=3.0, est=3.2657402129686606, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='214', iid='285', r_ui=5.0, est=4.654484677026594, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='405', iid='1434', r_ui=1.0, est=1.2568014165138908, details={'actual_k': 7, 'was_impossible': False}),\n",
       " Prediction(uid='846', iid='127', r_ui=5.0, est=4.634860548815426, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='236', iid='510', r_ui=3.0, est=3.907872483779571, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='846', iid='1221', r_ui=3.0, est=3.218266801527266, details={'actual_k': 13, 'was_impossible': False}),\n",
       " Prediction(uid='493', iid='89', r_ui=4.0, est=4.12936972228778, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='89', iid='240', r_ui=4.0, est=3.09749529068867, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='825', iid='409', r_ui=3.0, est=3.52246411292233, details={'actual_k': 38, 'was_impossible': False}),\n",
       " Prediction(uid='107', iid='286', r_ui=2.0, est=3.0741429403851974, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='593', iid='313', r_ui=4.0, est=4.607449157799875, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='44', iid='433', r_ui=4.0, est=3.821796393690612, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='314', iid='468', r_ui=4.0, est=3.5280666338212736, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='897', iid='369', r_ui=4.0, est=3.3314753824735934, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='943', iid='672', r_ui=5.0, est=2.4343445613105787, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='92', iid='627', r_ui=3.0, est=2.603780629658446, details={'actual_k': 30, 'was_impossible': False}),\n",
       " Prediction(uid='632', iid='746', r_ui=3.0, est=3.8365081989415235, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='655', iid='192', r_ui=3.0, est=3.5695788622353906, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='393', iid='944', r_ui=4.0, est=3.3167333371718057, details={'actual_k': 19, 'was_impossible': False}),\n",
       " Prediction(uid='693', iid='272', r_ui=4.0, est=3.8813668333180344, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='233', iid='381', r_ui=4.0, est=4.2370480377210225, details={'actual_k': 43, 'was_impossible': False}),\n",
       " Prediction(uid='863', iid='1243', r_ui=4.0, est=3.0619579576217544, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='582', iid='477', r_ui=4.0, est=2.8999678770343515, details={'actual_k': 33, 'was_impossible': False}),\n",
       " Prediction(uid='932', iid='154', r_ui=5.0, est=4.270738749129053, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='192', iid='111', r_ui=2.0, est=3.393863457512808, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='218', iid='430', r_ui=3.0, est=3.7600901951287358, details={'actual_k': 42, 'was_impossible': False}),\n",
       " Prediction(uid='634', iid='991', r_ui=3.0, est=2.021062233217046, details={'actual_k': 12, 'was_impossible': False}),\n",
       " Prediction(uid='644', iid='308', r_ui=4.0, est=4.323521120709706, details={'actual_k': 11, 'was_impossible': False}),\n",
       " Prediction(uid='435', iid='67', r_ui=4.0, est=2.9443260927971444, details={'actual_k': 49, 'was_impossible': False}),\n",
       " Prediction(uid='18', iid='95', r_ui=4.0, est=4.009507434580738, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='222', iid='845', r_ui=3.0, est=3.1118014216023675, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='911', iid='209', r_ui=5.0, est=4.016018460754196, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='846', iid='88', r_ui=4.0, est=3.52396634218528, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='215', iid='8', r_ui=2.0, est=4.066683174114334, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='287', iid='1067', r_ui=2.0, est=4.516871953460402, details={'actual_k': 15, 'was_impossible': False}),\n",
       " Prediction(uid='65', iid='1142', r_ui=4.0, est=4.480558946447425, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='391', iid='604', r_ui=4.0, est=4.130395075887235, details={'actual_k': 46, 'was_impossible': False}),\n",
       " Prediction(uid='68', iid='409', r_ui=3.0, est=2.5112317442902983, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='464', iid='678', r_ui=3.0, est=3.7045973148743068, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='838', iid='405', r_ui=4.0, est=3.8191180174749775, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='354', iid='25', r_ui=2.0, est=3.6378341998927164, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='697', iid='742', r_ui=3.0, est=3.840979749655128, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='942', iid='282', r_ui=5.0, est=4.483837572227066, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='299', iid='485', r_ui=4.0, est=3.4501082986136615, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='326', iid='141', r_ui=3.0, est=3.328068306295001, details={'actual_k': 24, 'was_impossible': False}),\n",
       " Prediction(uid='561', iid='665', r_ui=3.0, est=2.358997762956646, details={'actual_k': 40, 'was_impossible': False}),\n",
       " Prediction(uid='325', iid='443', r_ui=4.0, est=3.8294484478247326, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='313', iid='309', r_ui=4.0, est=1.9416091926157528, details={'actual_k': 11, 'was_impossible': False}),\n",
       " Prediction(uid='788', iid='182', r_ui=2.0, est=3.263270224201385, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='615', iid='387', r_ui=3.0, est=3.91427462777728, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='429', iid='581', r_ui=2.0, est=3.5810610392532265, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='91', iid='176', r_ui=5.0, est=4.530359723721915, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='339', iid='530', r_ui=5.0, est=4.345744552224558, details={'actual_k': 47, 'was_impossible': False}),\n",
       " Prediction(uid='44', iid='208', r_ui=4.0, est=4.081829630707041, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='409', iid='489', r_ui=5.0, est=3.9338699145807396, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='239', iid='45', r_ui=5.0, est=4.652128391570868, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='184', iid='36', r_ui=3.0, est=2.132828649893219, details={'actual_k': 4, 'was_impossible': False}),\n",
       " Prediction(uid='325', iid='23', r_ui=5.0, est=4.240135789679802, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='883', iid='197', r_ui=4.0, est=4.19212805432747, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='776', iid='194', r_ui=4.0, est=4.015275344751265, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='334', iid='228', r_ui=5.0, est=3.891308669462006, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='456', iid='658', r_ui=3.0, est=3.2445707858203345, details={'actual_k': 37, 'was_impossible': False}),\n",
       " Prediction(uid='246', iid='356', r_ui=2.0, est=2.5586129245742875, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='201', iid='226', r_ui=3.0, est=2.6345921962043257, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='21', iid='448', r_ui=4.0, est=2.5647214555683284, details={'actual_k': 40, 'was_impossible': False}),\n",
       " Prediction(uid='660', iid='151', r_ui=5.0, est=2.6392656544800186, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='323', iid='223', r_ui=4.0, est=4.210288406587261, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='452', iid='187', r_ui=3.0, est=4.1043093521233445, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='605', iid='238', r_ui=1.0, est=4.462515503402555, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='222', iid='597', r_ui=1.0, est=2.640811428028881, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='864', iid='53', r_ui=4.0, est=3.2351892199306764, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='894', iid='334', r_ui=3.0, est=3.526806463445967, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='640', iid='1258', r_ui=3.0, est=2.4228425597011536, details={'actual_k': 7, 'was_impossible': False}),\n",
       " Prediction(uid='807', iid='1039', r_ui=4.0, est=3.9867642195380544, details={'actual_k': 39, 'was_impossible': False}),\n",
       " Prediction(uid='269', iid='425', r_ui=5.0, est=3.3988231235825275, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='747', iid='190', r_ui=4.0, est=4.6519719034938145, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='496', iid='28', r_ui=2.0, est=3.3884040052080513, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='308', iid='196', r_ui=3.0, est=4.051565330569439, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='68', iid='411', r_ui=1.0, est=2.6622501209687517, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='676', iid='480', r_ui=5.0, est=4.229446307140087, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='401', iid='405', r_ui=2.0, est=2.857788453785073, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='101', iid='928', r_ui=2.0, est=2.498794480750648, details={'actual_k': 44, 'was_impossible': False}),\n",
       " Prediction(uid='788', iid='755', r_ui=3.0, est=2.903202265717047, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='933', iid='184', r_ui=1.0, est=2.73767199828477, details={'actual_k': 49, 'was_impossible': False}),\n",
       " Prediction(uid='463', iid='1163', r_ui=4.0, est=2.871197803569598, details={'actual_k': 6, 'was_impossible': False}),\n",
       " Prediction(uid='222', iid='1178', r_ui=2.0, est=2.0767202180371713, details={'actual_k': 10, 'was_impossible': False}),\n",
       " Prediction(uid='64', iid='705', r_ui=5.0, est=3.9722081821512636, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='886', iid='144', r_ui=4.0, est=3.908037105672555, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='81', iid='411', r_ui=2.0, est=2.8871945024597037, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='301', iid='1028', r_ui=5.0, est=3.4011313534223224, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='219', iid='38', r_ui=1.0, est=3.115998771648421, details={'actual_k': 39, 'was_impossible': False}),\n",
       " Prediction(uid='334', iid='443', r_ui=3.0, est=3.924393825905071, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='815', iid='168', r_ui=3.0, est=4.087991467663858, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='664', iid='480', r_ui=5.0, est=4.4325292030890955, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='532', iid='51', r_ui=5.0, est=4.379182719653881, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='727', iid='751', r_ui=3.0, est=3.0821279120708756, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='244', iid='724', r_ui=4.0, est=3.777724743651693, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='313', iid='333', r_ui=4.0, est=3.369493488767915, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='16', iid='1', r_ui=5.0, est=4.641572197181322, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='70', iid='8', r_ui=4.0, est=3.9872455867717402, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='178', iid='591', r_ui=5.0, est=3.8070706431407366, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='545', iid='568', r_ui=3.0, est=3.6827836245039074, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='707', iid='309', r_ui=2.0, est=1.584648133068967, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='263', r_ui=5.0, est=1.388866713439659, details={'actual_k': 6, 'was_impossible': False}),\n",
       " Prediction(uid='749', iid='636', r_ui=4.0, est=3.4343430021473798, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='859', iid='288', r_ui=4.0, est=4.083710260500083, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='694', iid='205', r_ui=5.0, est=4.624462370639756, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='747', iid='204', r_ui=5.0, est=4.195432434843064, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='592', iid='223', r_ui=5.0, est=4.539833742652304, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='553', iid='1', r_ui=3.0, est=4.196901276790616, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='146', iid='286', r_ui=3.0, est=3.6878809972756676, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='94', iid='685', r_ui=4.0, est=3.273370124610759, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='225', iid='603', r_ui=5.0, est=5, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='373', iid='132', r_ui=3.0, est=4.201950885803521, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='102', iid='1052', r_ui=2.0, est=1.9984927864923723, details={'actual_k': 11, 'was_impossible': False}),\n",
       " Prediction(uid='624', iid='347', r_ui=4.0, est=3.6666180059033717, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='342', iid='663', r_ui=4.0, est=3.7974766500802026, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='547', iid='328', r_ui=4.0, est=3.4299841175099726, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='776', iid='708', r_ui=5.0, est=3.557091074990514, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='465', iid='836', r_ui=3.0, est=3.5045382441396016, details={'actual_k': 13, 'was_impossible': False}),\n",
       " Prediction(uid='94', iid='722', r_ui=2.0, est=3.1324386966734474, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='909', iid='880', r_ui=4.0, est=4.264061291299607, details={'actual_k': 23, 'was_impossible': False}),\n",
       " Prediction(uid='864', iid='770', r_ui=3.0, est=4.051259736457457, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='407', iid='388', r_ui=2.0, est=2.6308135306180462, details={'actual_k': 15, 'was_impossible': False}),\n",
       " Prediction(uid='178', iid='234', r_ui=4.0, est=3.9008950220174285, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='197', iid='313', r_ui=4.0, est=4.2287784054757935, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='666', iid='182', r_ui=4.0, est=4.113799725618687, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='603', iid='313', r_ui=5.0, est=4.706912469493871, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='833', iid='157', r_ui=2.0, est=3.3135555661811855, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='405', iid='395', r_ui=3.0, est=1, details={'actual_k': 25, 'was_impossible': False}),\n",
       " Prediction(uid='537', iid='718', r_ui=4.0, est=3.369984931560651, details={'actual_k': 10, 'was_impossible': False}),\n",
       " Prediction(uid='271', iid='528', r_ui=3.0, est=4.21664645756428, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='334', iid='130', r_ui=4.0, est=2.0863025132692723, details={'actual_k': 14, 'was_impossible': False}),\n",
       " Prediction(uid='913', iid='176', r_ui=5.0, est=3.9469202527542304, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='901', iid='252', r_ui=3.0, est=3.2994868748495065, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='201', iid='174', r_ui=3.0, est=3.6003071411974767, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='188', iid='632', r_ui=5.0, est=3.902954844880557, details={'actual_k': 22, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='208', r_ui=5.0, est=3.502326567314147, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='699', iid='234', r_ui=3.0, est=3.304140715164972, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='276', iid='175', r_ui=5.0, est=3.7628056668101757, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='756', iid='403', r_ui=2.0, est=3.086923268225129, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='409', iid='435', r_ui=3.0, est=3.9627967171946974, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='416', iid='928', r_ui=3.0, est=3.518345005298612, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='648', iid='1244', r_ui=3.0, est=2.5025688038793907, details={'actual_k': 16, 'was_impossible': False}),\n",
       " Prediction(uid='712', iid='213', r_ui=3.0, est=4.282059705632887, details={'actual_k': 43, 'was_impossible': False}),\n",
       " Prediction(uid='859', iid='368', r_ui=3.0, est=2.165514674043967, details={'actual_k': 11, 'was_impossible': False}),\n",
       " Prediction(uid='658', iid='178', r_ui=5.0, est=4.4111041706091925, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='160', iid='640', r_ui=3.0, est=3.462800038086522, details={'actual_k': 41, 'was_impossible': False}),\n",
       " Prediction(uid='340', iid='143', r_ui=5.0, est=4.543497015268304, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='361', iid='203', r_ui=5.0, est=3.974025926073894, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='655', iid='909', r_ui=3.0, est=2.4853208943861613, details={'actual_k': 4, 'was_impossible': False}),\n",
       " Prediction(uid='666', iid='114', r_ui=4.0, est=4.497371132879641, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='545', iid='227', r_ui=4.0, est=3.3829966433510843, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='689', iid='475', r_ui=4.0, est=3.7664450350971923, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='506', iid='1136', r_ui=3.0, est=3.6616189218042376, details={'actual_k': 12, 'was_impossible': False}),\n",
       " Prediction(uid='841', iid='288', r_ui=3.0, est=3.9665507393670225, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='128', iid='173', r_ui=5.0, est=4.192880891872087, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='839', iid='1664', r_ui=1.0, est=4.363090231887541, details={'actual_k': 1, 'was_impossible': False}),\n",
       " Prediction(uid='659', iid='162', r_ui=3.0, est=3.845672828630822, details={'actual_k': 49, 'was_impossible': False}),\n",
       " Prediction(uid='189', iid='204', r_ui=5.0, est=4.0439105225712595, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='548', iid='504', r_ui=5.0, est=4.060629886888968, details={'actual_k': 47, 'was_impossible': False}),\n",
       " Prediction(uid='392', iid='249', r_ui=1.0, est=3.8226881421767462, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='73', iid='197', r_ui=5.0, est=4.306599069804796, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='634', iid='284', r_ui=4.0, est=3.2454957661730424, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='379', iid='448', r_ui=4.0, est=3.675143605357622, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='291', iid='798', r_ui=4.0, est=2.407440804614673, details={'actual_k': 2, 'was_impossible': False}),\n",
       " Prediction(uid='59', iid='498', r_ui=5.0, est=4.402732675084589, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='628', iid='332', r_ui=5.0, est=5, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='312', iid='495', r_ui=4.0, est=4.241514122377527, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='483', iid='144', r_ui=2.0, est=3.5762121920929033, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='363', iid='933', r_ui=2.0, est=2.310009850278825, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='680', iid='515', r_ui=4.0, est=4.714054015675123, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='484', iid='15', r_ui=5.0, est=4.1549095369065325, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='554', iid='1284', r_ui=3.0, est=2.9857770561033092, details={'actual_k': 10, 'was_impossible': False}),\n",
       " Prediction(uid='151', iid='136', r_ui=4.0, est=4.449566880179707, details={'actual_k': 44, 'was_impossible': False}),\n",
       " Prediction(uid='412', iid='408', r_ui=4.0, est=4.861934224538086, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='934', iid='462', r_ui=4.0, est=3.864574816952274, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='493', iid='687', r_ui=1.0, est=2.8990172983698983, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='608', iid='93', r_ui=4.0, est=4.098138443681199, details={'actual_k': 47, 'was_impossible': False}),\n",
       " Prediction(uid='538', iid='22', r_ui=5.0, est=4.273891486508467, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='376', iid='603', r_ui=4.0, est=4.439389301503567, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='145', iid='1279', r_ui=1.0, est=2.9212119496226543, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='627', iid='76', r_ui=3.0, est=2.808047261056776, details={'actual_k': 24, 'was_impossible': False}),\n",
       " Prediction(uid='640', iid='941', r_ui=5.0, est=3.339499186049002, details={'actual_k': 19, 'was_impossible': False}),\n",
       " Prediction(uid='183', iid='94', r_ui=3.0, est=2.6190767098949723, details={'actual_k': 44, 'was_impossible': False}),\n",
       " Prediction(uid='727', iid='1047', r_ui=2.0, est=2.402105200698177, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='95', iid='532', r_ui=4.0, est=2.4994473514822353, details={'actual_k': 8, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='211', r_ui=4.0, est=3.6380949873842874, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='84', iid='543', r_ui=5.0, est=3.805931853188389, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='650', iid='315', r_ui=3.0, est=3.720277041102677, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='56', iid='202', r_ui=4.0, est=4.044286336239844, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='60', iid='69', r_ui=4.0, est=4.251257845482534, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='831', iid='208', r_ui=2.0, est=4.010999968774401, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='393', iid='651', r_ui=4.0, est=3.7454774330076637, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='180', iid='83', r_ui=5.0, est=4.552564104790925, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='328', iid='550', r_ui=3.0, est=3.2196175468913295, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='269', iid='185', r_ui=5.0, est=3.9146333908019098, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='929', iid='100', r_ui=4.0, est=4.068077337339922, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='896', iid='152', r_ui=3.0, est=2.693603501949148, details={'actual_k': 34, 'was_impossible': False}),\n",
       " Prediction(uid='551', iid='67', r_ui=5.0, est=3.2658382141317244, details={'actual_k': 38, 'was_impossible': False}),\n",
       " Prediction(uid='186', iid='1016', r_ui=5.0, est=3.4345352621953875, details={'actual_k': 45, 'was_impossible': False}),\n",
       " Prediction(uid='493', iid='191', r_ui=4.0, est=4.3507925985903935, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='538', iid='234', r_ui=3.0, est=3.8182303270522118, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='295', iid='1115', r_ui=5.0, est=4.034122805315179, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='234', iid='448', r_ui=3.0, est=2.523161951937274, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='244', iid='662', r_ui=3.0, est=3.4546698670571305, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='102', iid='403', r_ui=3.0, est=2.674861861983136, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='731', iid='427', r_ui=5.0, est=4.1783404828840105, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='897', iid='763', r_ui=3.0, est=4.188417841439012, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='712', iid='734', r_ui=4.0, est=3.119253411028127, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='452', iid='79', r_ui=4.0, est=3.8626565461922437, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='841', iid='754', r_ui=4.0, est=3.8324120857835577, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='13', iid='524', r_ui=4.0, est=3.5799107841902407, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='151', iid='228', r_ui=5.0, est=4.0459266347228615, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='738', iid='177', r_ui=4.0, est=3.6314882864467277, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='689', iid='358', r_ui=4.0, est=3.116539858245344, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='363', iid='256', r_ui=3.0, est=3.725161157350941, details={'actual_k': 6, 'was_impossible': False}),\n",
       " Prediction(uid='201', iid='129', r_ui=4.0, est=3.4808713929738664, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='890', iid='69', r_ui=4.0, est=4.250149767269948, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='109', iid='8', r_ui=3.0, est=3.9154174247651947, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='932', iid='211', r_ui=5.0, est=4.410924552690202, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='694', iid='641', r_ui=4.0, est=4.78090289901578, details={'actual_k': 12, 'was_impossible': False}),\n",
       " Prediction(uid='399', iid='127', r_ui=2.0, est=3.406286457318791, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='927', iid='722', r_ui=3.0, est=2.961616377576134, details={'actual_k': 25, 'was_impossible': False}),\n",
       " Prediction(uid='746', iid='8', r_ui=4.0, est=4.1252657195857765, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='738', iid='121', r_ui=4.0, est=3.729384255512675, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='805', iid='5', r_ui=4.0, est=2.666145633399371, details={'actual_k': 38, 'was_impossible': False}),\n",
       " Prediction(uid='96', iid='7', r_ui=5.0, est=4.597355084752153, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='919', iid='892', r_ui=3.0, est=2.6537254000491286, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='472', iid='374', r_ui=2.0, est=4.002651120923089, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='73', iid='12', r_ui=5.0, est=4.640542894925811, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='295', iid='53', r_ui=1.0, est=3.9279134456372247, details={'actual_k': 42, 'was_impossible': False}),\n",
       " Prediction(uid='271', iid='428', r_ui=4.0, est=4.061359411646894, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='49', iid='657', r_ui=5.0, est=3.287894740748106, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='56', iid='715', r_ui=1.0, est=3.235792716339043, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='424', iid='688', r_ui=2.0, est=2.91740967494388, details={'actual_k': 11, 'was_impossible': False}),\n",
       " Prediction(uid='916', iid='215', r_ui=3.0, est=3.4916357718456235, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='167', iid='136', r_ui=4.0, est=4.125196571130653, details={'actual_k': 38, 'was_impossible': False}),\n",
       " Prediction(uid='654', iid='821', r_ui=3.0, est=3.388062909497673, details={'actual_k': 10, 'was_impossible': False}),\n",
       " Prediction(uid='712', iid='49', r_ui=3.0, est=3.8433636280959393, details={'actual_k': 25, 'was_impossible': False}),\n",
       " Prediction(uid='378', iid='392', r_ui=3.0, est=3.0279347900020186, details={'actual_k': 24, 'was_impossible': False}),\n",
       " Prediction(uid='283', iid='71', r_ui=4.0, est=4.191749661769589, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='867', iid='68', r_ui=4.0, est=4.3212256039841535, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='287', iid='268', r_ui=4.0, est=4.5250433955173754, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='937', iid='1007', r_ui=4.0, est=3.5719731463971547, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='782', iid='751', r_ui=2.0, est=2.7485781028210794, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='828', iid='286', r_ui=4.0, est=3.189544819882134, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='702', iid='313', r_ui=5.0, est=3.5122098369138657, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='308', iid='843', r_ui=3.0, est=3.5676238796080257, details={'actual_k': 6, 'was_impossible': False}),\n",
       " Prediction(uid='263', iid='245', r_ui=4.0, est=3.3817773462717478, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='846', iid='50', r_ui=5.0, est=4.657507085852771, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='5', iid='382', r_ui=5.0, est=2.977192929576202, details={'actual_k': 46, 'was_impossible': False}),\n",
       " Prediction(uid='157', iid='748', r_ui=2.0, est=3.1321515946142866, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='92', iid='230', r_ui=3.0, est=2.9272181452229447, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='653', iid='628', r_ui=4.0, est=2.825140811482242, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='85', iid='1166', r_ui=4.0, est=2.329529187731403, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='289', iid='742', r_ui=4.0, est=3.288247612009278, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='181', iid='1001', r_ui=1.0, est=1, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='504', iid='561', r_ui=4.0, est=3.293980921365387, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='92', iid='281', r_ui=3.0, est=2.6831490604201216, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='640', iid='4', r_ui=4.0, est=4.309612349478325, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='373', iid='694', r_ui=5.0, est=4.102071396429348, details={'actual_k': 24, 'was_impossible': False}),\n",
       " Prediction(uid='54', iid='237', r_ui=4.0, est=3.834930359791365, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='517', iid='472', r_ui=2.0, est=3.1075980012776165, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='648', iid='413', r_ui=2.0, est=2.5452084967654875, details={'actual_k': 25, 'was_impossible': False}),\n",
       " Prediction(uid='234', iid='699', r_ui=3.0, est=2.899799326711294, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='562', iid='173', r_ui=5.0, est=4.334822979522806, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='27', iid='370', r_ui=4.0, est=2.250228010164502, details={'actual_k': 16, 'was_impossible': False}),\n",
       " Prediction(uid='577', iid='561', r_ui=4.0, est=3.1845628597380733, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='551', iid='56', r_ui=5.0, est=4.450424106900022, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='196', iid='286', r_ui=5.0, est=3.8417157071632624, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='94', iid='161', r_ui=3.0, est=3.057329383891786, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='115', iid='273', r_ui=4.0, est=3.9402741393349268, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='865', iid='189', r_ui=4.0, est=2.838461325978985, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='59', iid='111', r_ui=4.0, est=3.9195480631285693, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='378', iid='1478', r_ui=3.0, est=2.651465646219884, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='747', iid='99', r_ui=5.0, est=4.359358727051236, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='486', iid='25', r_ui=4.0, est=3.0515597473573752, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='343', iid='13', r_ui=5.0, est=4.096377735265801, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='539', iid='124', r_ui=4.0, est=4.46523948865764, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='391', iid='480', r_ui=4.0, est=4.517337851930448, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='880', iid='603', r_ui=5.0, est=4.179977860977585, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='308', iid='365', r_ui=3.0, est=3.2443522529489006, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='862', iid='484', r_ui=4.0, est=4.948238080666297, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='871', iid='402', r_ui=3.0, est=3.568053163293404, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='1', iid='140', r_ui=1.0, est=2.560913892554624, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='796', iid='198', r_ui=4.0, est=3.88681933279823, details={'actual_k': 33, 'was_impossible': False}),\n",
       " Prediction(uid='246', iid='665', r_ui=4.0, est=2.127302886633646, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='414', iid='270', r_ui=5.0, est=3.8263574057734893, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='886', iid='790', r_ui=4.0, est=2.9938237659037226, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='699', iid='283', r_ui=4.0, est=3.3895878986285704, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='276', iid='823', r_ui=3.0, est=2.9441137189889606, details={'actual_k': 34, 'was_impossible': False}),\n",
       " Prediction(uid='324', iid='748', r_ui=5.0, est=4.112443070652115, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='7', iid='672', r_ui=1.0, est=3.1897932592175344, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='620', iid='683', r_ui=3.0, est=2.9814388358191612, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='509', iid='302', r_ui=5.0, est=3.309922195290772, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='711', iid='694', r_ui=5.0, est=4.423765593689129, details={'actual_k': 26, 'was_impossible': False}),\n",
       " Prediction(uid='645', iid='175', r_ui=5.0, est=4.348967549315914, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='696', iid='310', r_ui=4.0, est=3.7376861071144996, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='67', iid='871', r_ui=3.0, est=2.8114112109882154, details={'actual_k': 40, 'was_impossible': False}),\n",
       " Prediction(uid='391', iid='276', r_ui=3.0, est=4.1845838487392175, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='580', iid='300', r_ui=3.0, est=3.694210525044747, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='587', iid='680', r_ui=1.0, est=1.701606786808154, details={'actual_k': 17, 'was_impossible': False}),\n",
       " Prediction(uid='399', iid='1228', r_ui=3.0, est=2.5533097837271193, details={'actual_k': 12, 'was_impossible': False}),\n",
       " Prediction(uid='862', iid='188', r_ui=5.0, est=4.352299438942373, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='655', iid='619', r_ui=3.0, est=2.492404951272677, details={'actual_k': 21, 'was_impossible': False}),\n",
       " Prediction(uid='532', iid='1312', r_ui=4.0, est=4.128933605970113, details={'actual_k': 5, 'was_impossible': False}),\n",
       " Prediction(uid='889', iid='676', r_ui=2.0, est=3.4116900256224683, details={'actual_k': 32, 'was_impossible': False}),\n",
       " Prediction(uid='833', iid='187', r_ui=5.0, est=3.7321881388544718, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='593', iid='732', r_ui=3.0, est=3.8951839612688683, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='151', iid='659', r_ui=5.0, est=4.261039639835331, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='145', iid='673', r_ui=4.0, est=3.2711348632905026, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='92', iid='69', r_ui=5.0, est=3.229970736919637, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='387', iid='919', r_ui=5.0, est=3.5848231291369634, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='6', iid='127', r_ui=5.0, est=4.568700951363151, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='301', iid='120', r_ui=2.0, est=2.433960416839931, details={'actual_k': 33, 'was_impossible': False}),\n",
       " Prediction(uid='193', iid='111', r_ui=1.0, est=3.118997029879989, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='279', iid='1376', r_ui=4.0, est=2.512993536011682, details={'actual_k': 3, 'was_impossible': False}),\n",
       " Prediction(uid='724', iid='347', r_ui=4.0, est=1.995340437039495, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='276', iid='1028', r_ui=3.0, est=2.7146367287633577, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='763', iid='1098', r_ui=3.0, est=4.102303638299173, details={'actual_k': 20, 'was_impossible': False}),\n",
       " Prediction(uid='391', iid='1163', r_ui=2.0, est=2.9254301035689734, details={'actual_k': 9, 'was_impossible': False}),\n",
       " Prediction(uid='293', iid='627', r_ui=2.0, est=2.2922545763083653, details={'actual_k': 28, 'was_impossible': False}),\n",
       " Prediction(uid='747', iid='327', r_ui=4.0, est=3.8023037468881533, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='346', iid='732', r_ui=3.0, est=3.6594269791565415, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='193', iid='476', r_ui=2.0, est=2.7285969134424124, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='128', iid='1136', r_ui=3.0, est=3.5919530170376337, details={'actual_k': 16, 'was_impossible': False}),\n",
       " Prediction(uid='671', iid='597', r_ui=4.0, est=3.477024463691788, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='657', iid='1009', r_ui=4.0, est=3.0138627498714943, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='349', iid='121', r_ui=2.0, est=2.968646352730898, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='94', iid='1211', r_ui=5.0, est=3.3926741586808564, details={'actual_k': 7, 'was_impossible': False}),\n",
       " Prediction(uid='101', iid='304', r_ui=3.0, est=2.9409292712691357, details={'actual_k': 38, 'was_impossible': False}),\n",
       " Prediction(uid='417', iid='211', r_ui=4.0, est=3.5534525504880285, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='650', iid='751', r_ui=2.0, est=3.0231200870762263, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='110', iid='576', r_ui=2.0, est=3.017347914861186, details={'actual_k': 35, 'was_impossible': False}),\n",
       " Prediction(uid='454', iid='1003', r_ui=2.0, est=2.7604675953909132, details={'actual_k': 3, 'was_impossible': False}),\n",
       " Prediction(uid='81', iid='824', r_ui=3.0, est=2.58800699471596, details={'actual_k': 27, 'was_impossible': False}),\n",
       " Prediction(uid='1', iid='263', r_ui=1.0, est=1.7941548929809108, details={'actual_k': 7, 'was_impossible': False}),\n",
       " Prediction(uid='262', iid='588', r_ui=4.0, est=3.3478895779024054, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='456', iid='56', r_ui=5.0, est=3.98945725818541, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='804', iid='139', r_ui=3.0, est=3.3395504369435867, details={'actual_k': 18, 'was_impossible': False}),\n",
       " Prediction(uid='429', iid='499', r_ui=4.0, est=3.7162694000126537, details={'actual_k': 33, 'was_impossible': False}),\n",
       " Prediction(uid='733', iid='742', r_ui=3.0, est=2.957497778816554, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='287', iid='11', r_ui=5.0, est=4.374581451289534, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='545', iid='254', r_ui=4.0, est=2.707528558059633, details={'actual_k': 30, 'was_impossible': False}),\n",
       " Prediction(uid='316', iid='183', r_ui=1.0, est=3.678757891939, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='620', iid='795', r_ui=4.0, est=3.388802829512067, details={'actual_k': 7, 'was_impossible': False}),\n",
       " Prediction(uid='388', iid='559', r_ui=5.0, est=3.7588654579371843, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='429', iid='150', r_ui=5.0, est=4.0117489809333335, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='639', iid='14', r_ui=5.0, est=3.310884707852268, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='907', iid='198', r_ui=5.0, est=5, details={'actual_k': 40, 'was_impossible': False}),\n",
       " Prediction(uid='430', iid='137', r_ui=3.0, est=4.058352708415652, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='294', iid='254', r_ui=3.0, est=2.064605664827305, details={'actual_k': 29, 'was_impossible': False}),\n",
       " Prediction(uid='156', iid='346', r_ui=3.0, est=4.172682373943091, details={'actual_k': 36, 'was_impossible': False}),\n",
       " Prediction(uid='345', iid='15', r_ui=4.0, est=3.9061824287623437, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='747', iid='288', r_ui=4.0, est=3.7723878220917175, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='504', iid='5', r_ui=4.0, est=3.5081302936963503, details={'actual_k': 31, 'was_impossible': False}),\n",
       " Prediction(uid='592', iid='249', r_ui=4.0, est=3.793447454995503, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='933', iid='9', r_ui=3.0, est=3.3527599517902726, details={'actual_k': 50, 'was_impossible': False}),\n",
       " Prediction(uid='87', iid='783', r_ui=4.0, est=3.506436592045162, details={'actual_k': 14, 'was_impossible': False}),\n",
       " ...]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "User-based Model : Test Set\n",
      "RMSE: 0.9313\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.9312994981233068"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# get RMSE\n",
    "print(\"User-based Model : Test Set\")\n",
    "accuracy.rmse(test_pred, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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    "version": 3
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   "file_extension": ".py",
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   "name": "python",
   "nbconvert_exporter": "python",
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